=>

[1]=>[1,0]=>1 [1,2]=>[1,0,1,0]=>1 [2,1]=>[1,1,0,0]=>1 [1,2,3]=>[1,0,1,0,1,0]=>1 [1,3,2]=>[1,0,1,1,0,0]=>1 [2,1,3]=>[1,1,0,0,1,0]=>1 [2,3,1]=>[1,1,0,1,0,0]=>2 [3,1,2]=>[1,1,1,0,0,0]=>1 [3,2,1]=>[1,1,1,0,0,0]=>1 [1,2,3,4]=>[1,0,1,0,1,0,1,0]=>1 [1,2,4,3]=>[1,0,1,0,1,1,0,0]=>1 [1,3,2,4]=>[1,0,1,1,0,0,1,0]=>1 [1,3,4,2]=>[1,0,1,1,0,1,0,0]=>2 [1,4,2,3]=>[1,0,1,1,1,0,0,0]=>1 [1,4,3,2]=>[1,0,1,1,1,0,0,0]=>1 [2,1,3,4]=>[1,1,0,0,1,0,1,0]=>1 [2,1,4,3]=>[1,1,0,0,1,1,0,0]=>1 [2,3,1,4]=>[1,1,0,1,0,0,1,0]=>2 [2,3,4,1]=>[1,1,0,1,0,1,0,0]=>4 [2,4,1,3]=>[1,1,0,1,1,0,0,0]=>3 [2,4,3,1]=>[1,1,0,1,1,0,0,0]=>3 [3,1,2,4]=>[1,1,1,0,0,0,1,0]=>1 [3,1,4,2]=>[1,1,1,0,0,1,0,0]=>2 [3,2,1,4]=>[1,1,1,0,0,0,1,0]=>1 [3,2,4,1]=>[1,1,1,0,0,1,0,0]=>2 [3,4,1,2]=>[1,1,1,0,1,0,0,0]=>3 [3,4,2,1]=>[1,1,1,0,1,0,0,0]=>3 [4,1,2,3]=>[1,1,1,1,0,0,0,0]=>1 [4,1,3,2]=>[1,1,1,1,0,0,0,0]=>1 [4,2,1,3]=>[1,1,1,1,0,0,0,0]=>1 [4,2,3,1]=>[1,1,1,1,0,0,0,0]=>1 [4,3,1,2]=>[1,1,1,1,0,0,0,0]=>1 [4,3,2,1]=>[1,1,1,1,0,0,0,0]=>1 [1,2,3,4,5]=>[1,0,1,0,1,0,1,0,1,0]=>1 [1,2,3,5,4]=>[1,0,1,0,1,0,1,1,0,0]=>1 [1,2,4,3,5]=>[1,0,1,0,1,1,0,0,1,0]=>1 [1,2,4,5,3]=>[1,0,1,0,1,1,0,1,0,0]=>2 [1,2,5,3,4]=>[1,0,1,0,1,1,1,0,0,0]=>1 [1,2,5,4,3]=>[1,0,1,0,1,1,1,0,0,0]=>1 [1,3,2,4,5]=>[1,0,1,1,0,0,1,0,1,0]=>1 [1,3,2,5,4]=>[1,0,1,1,0,0,1,1,0,0]=>1 [1,3,4,2,5]=>[1,0,1,1,0,1,0,0,1,0]=>2 [1,3,4,5,2]=>[1,0,1,1,0,1,0,1,0,0]=>4 [1,3,5,2,4]=>[1,0,1,1,0,1,1,0,0,0]=>3 [1,3,5,4,2]=>[1,0,1,1,0,1,1,0,0,0]=>3 [1,4,2,3,5]=>[1,0,1,1,1,0,0,0,1,0]=>1 [1,4,2,5,3]=>[1,0,1,1,1,0,0,1,0,0]=>2 [1,4,3,2,5]=>[1,0,1,1,1,0,0,0,1,0]=>1 [1,4,3,5,2]=>[1,0,1,1,1,0,0,1,0,0]=>2 [1,4,5,2,3]=>[1,0,1,1,1,0,1,0,0,0]=>3 [1,4,5,3,2]=>[1,0,1,1,1,0,1,0,0,0]=>3 [1,5,2,3,4]=>[1,0,1,1,1,1,0,0,0,0]=>1 [1,5,2,4,3]=>[1,0,1,1,1,1,0,0,0,0]=>1 [1,5,3,2,4]=>[1,0,1,1,1,1,0,0,0,0]=>1 [1,5,3,4,2]=>[1,0,1,1,1,1,0,0,0,0]=>1 [1,5,4,2,3]=>[1,0,1,1,1,1,0,0,0,0]=>1 [1,5,4,3,2]=>[1,0,1,1,1,1,0,0,0,0]=>1 [2,1,3,4,5]=>[1,1,0,0,1,0,1,0,1,0]=>1 [2,1,3,5,4]=>[1,1,0,0,1,0,1,1,0,0]=>1 [2,1,4,3,5]=>[1,1,0,0,1,1,0,0,1,0]=>1 [2,1,4,5,3]=>[1,1,0,0,1,1,0,1,0,0]=>2 [2,1,5,3,4]=>[1,1,0,0,1,1,1,0,0,0]=>1 [2,1,5,4,3]=>[1,1,0,0,1,1,1,0,0,0]=>1 [2,3,1,4,5]=>[1,1,0,1,0,0,1,0,1,0]=>2 [2,3,1,5,4]=>[1,1,0,1,0,0,1,1,0,0]=>2 [2,3,4,1,5]=>[1,1,0,1,0,1,0,0,1,0]=>4 [2,3,4,5,1]=>[1,1,0,1,0,1,0,1,0,0]=>8 [2,3,5,1,4]=>[1,1,0,1,0,1,1,0,0,0]=>6 [2,3,5,4,1]=>[1,1,0,1,0,1,1,0,0,0]=>6 [2,4,1,3,5]=>[1,1,0,1,1,0,0,0,1,0]=>3 [2,4,1,5,3]=>[1,1,0,1,1,0,0,1,0,0]=>6 [2,4,3,1,5]=>[1,1,0,1,1,0,0,0,1,0]=>3 [2,4,3,5,1]=>[1,1,0,1,1,0,0,1,0,0]=>6 [2,4,5,1,3]=>[1,1,0,1,1,0,1,0,0,0]=>9 [2,4,5,3,1]=>[1,1,0,1,1,0,1,0,0,0]=>9 [2,5,1,3,4]=>[1,1,0,1,1,1,0,0,0,0]=>4 [2,5,1,4,3]=>[1,1,0,1,1,1,0,0,0,0]=>4 [2,5,3,1,4]=>[1,1,0,1,1,1,0,0,0,0]=>4 [2,5,3,4,1]=>[1,1,0,1,1,1,0,0,0,0]=>4 [2,5,4,1,3]=>[1,1,0,1,1,1,0,0,0,0]=>4 [2,5,4,3,1]=>[1,1,0,1,1,1,0,0,0,0]=>4 [3,1,2,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>1 [3,1,2,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>1 [3,1,4,2,5]=>[1,1,1,0,0,1,0,0,1,0]=>2 [3,1,4,5,2]=>[1,1,1,0,0,1,0,1,0,0]=>4 [3,1,5,2,4]=>[1,1,1,0,0,1,1,0,0,0]=>3 [3,1,5,4,2]=>[1,1,1,0,0,1,1,0,0,0]=>3 [3,2,1,4,5]=>[1,1,1,0,0,0,1,0,1,0]=>1 [3,2,1,5,4]=>[1,1,1,0,0,0,1,1,0,0]=>1 [3,2,4,1,5]=>[1,1,1,0,0,1,0,0,1,0]=>2 [3,2,4,5,1]=>[1,1,1,0,0,1,0,1,0,0]=>4 [3,2,5,1,4]=>[1,1,1,0,0,1,1,0,0,0]=>3 [3,2,5,4,1]=>[1,1,1,0,0,1,1,0,0,0]=>3 [3,4,1,2,5]=>[1,1,1,0,1,0,0,0,1,0]=>3 [3,4,1,5,2]=>[1,1,1,0,1,0,0,1,0,0]=>6 [3,4,2,1,5]=>[1,1,1,0,1,0,0,0,1,0]=>3 [3,4,2,5,1]=>[1,1,1,0,1,0,0,1,0,0]=>6 [3,4,5,1,2]=>[1,1,1,0,1,0,1,0,0,0]=>9 [3,4,5,2,1]=>[1,1,1,0,1,0,1,0,0,0]=>9 [3,5,1,2,4]=>[1,1,1,0,1,1,0,0,0,0]=>6 [3,5,1,4,2]=>[1,1,1,0,1,1,0,0,0,0]=>6 [3,5,2,1,4]=>[1,1,1,0,1,1,0,0,0,0]=>6 [3,5,2,4,1]=>[1,1,1,0,1,1,0,0,0,0]=>6 [3,5,4,1,2]=>[1,1,1,0,1,1,0,0,0,0]=>6 [3,5,4,2,1]=>[1,1,1,0,1,1,0,0,0,0]=>6 [4,1,2,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>1 [4,1,2,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>2 [4,1,3,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>1 [4,1,3,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>2 [4,1,5,2,3]=>[1,1,1,1,0,0,1,0,0,0]=>3 [4,1,5,3,2]=>[1,1,1,1,0,0,1,0,0,0]=>3 [4,2,1,3,5]=>[1,1,1,1,0,0,0,0,1,0]=>1 [4,2,1,5,3]=>[1,1,1,1,0,0,0,1,0,0]=>2 [4,2,3,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>1 [4,2,3,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>2 [4,2,5,1,3]=>[1,1,1,1,0,0,1,0,0,0]=>3 [4,2,5,3,1]=>[1,1,1,1,0,0,1,0,0,0]=>3 [4,3,1,2,5]=>[1,1,1,1,0,0,0,0,1,0]=>1 [4,3,1,5,2]=>[1,1,1,1,0,0,0,1,0,0]=>2 [4,3,2,1,5]=>[1,1,1,1,0,0,0,0,1,0]=>1 [4,3,2,5,1]=>[1,1,1,1,0,0,0,1,0,0]=>2 [4,3,5,1,2]=>[1,1,1,1,0,0,1,0,0,0]=>3 [4,3,5,2,1]=>[1,1,1,1,0,0,1,0,0,0]=>3 [4,5,1,2,3]=>[1,1,1,1,0,1,0,0,0,0]=>4 [4,5,1,3,2]=>[1,1,1,1,0,1,0,0,0,0]=>4 [4,5,2,1,3]=>[1,1,1,1,0,1,0,0,0,0]=>4 [4,5,2,3,1]=>[1,1,1,1,0,1,0,0,0,0]=>4 [4,5,3,1,2]=>[1,1,1,1,0,1,0,0,0,0]=>4 [4,5,3,2,1]=>[1,1,1,1,0,1,0,0,0,0]=>4 [5,1,2,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,1,2,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,1,3,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,1,3,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,1,4,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,1,4,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,2,1,3,4]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,2,1,4,3]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,2,3,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,2,3,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,2,4,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,2,4,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,3,1,2,4]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,3,1,4,2]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,3,2,1,4]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,3,2,4,1]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,3,4,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,3,4,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,4,1,2,3]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,4,1,3,2]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,4,2,1,3]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,4,2,3,1]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,4,3,1,2]=>[1,1,1,1,1,0,0,0,0,0]=>1 [5,4,3,2,1]=>[1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,4,5,6]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,2,3,4,6,5]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,2,3,5,4,6]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,2,3,5,6,4]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,2,3,6,4,5]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,6,5,4]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,4,3,5,6]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,2,4,3,6,5]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,2,4,5,3,6]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,2,4,5,6,3]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,2,4,6,3,5]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,2,4,6,5,3]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,2,5,3,4,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,2,5,3,6,4]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,2,5,4,3,6]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,2,5,4,6,3]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,2,5,6,3,4]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,2,5,6,4,3]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,2,6,3,4,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,6,3,5,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,6,4,3,5]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,6,4,5,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,6,5,3,4]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,6,5,4,3]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,3,2,4,5,6]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,3,2,4,6,5]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,3,2,5,4,6]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>1 [1,3,2,5,6,4]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,3,2,6,4,5]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,3,2,6,5,4]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,3,4,2,5,6]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,3,4,2,6,5]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,3,4,5,2,6]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>4 [1,3,4,5,6,2]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>8 [1,3,4,6,2,5]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>6 [1,3,4,6,5,2]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>6 [1,3,5,2,4,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,3,5,2,6,4]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>6 [1,3,5,4,2,6]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,3,5,4,6,2]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>6 [1,3,5,6,2,4]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>9 [1,3,5,6,4,2]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>9 [1,3,6,2,4,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,3,6,2,5,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,3,6,4,2,5]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,3,6,4,5,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,3,6,5,2,4]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,3,6,5,4,2]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,4,2,3,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,4,2,3,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,4,2,5,3,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>2 [1,4,2,5,6,3]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,4,2,6,3,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,4,2,6,5,3]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,4,3,2,5,6]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,4,3,2,6,5]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,4,3,5,2,6]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>2 [1,4,3,5,6,2]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,4,3,6,2,5]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,4,3,6,5,2]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,4,5,2,3,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,4,5,2,6,3]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,4,5,3,2,6]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,4,5,3,6,2]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,4,5,6,2,3]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>9 [1,4,5,6,3,2]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>9 [1,4,6,2,3,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,4,6,2,5,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,4,6,3,2,5]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,4,6,3,5,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,4,6,5,2,3]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,4,6,5,3,2]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,5,2,3,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,5,2,3,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,5,2,4,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,5,2,4,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,5,2,6,3,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,5,2,6,4,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,5,3,2,4,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,5,3,2,6,4]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,5,3,4,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,5,3,4,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,5,3,6,2,4]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,5,3,6,4,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,5,4,2,3,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,5,4,2,6,3]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,5,4,3,2,6]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,5,4,3,6,2]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,5,4,6,2,3]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,5,4,6,3,2]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,5,6,2,3,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,5,6,2,4,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,5,6,3,2,4]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,5,6,3,4,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,5,6,4,2,3]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,5,6,4,3,2]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,6,2,3,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,2,3,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,2,4,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,2,4,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,2,5,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,2,5,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,2,4,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,2,5,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,4,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,4,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,5,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,3,5,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,2,3,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,2,5,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,3,2,5]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,3,5,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,5,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,4,5,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,2,3,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,2,4,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,3,2,4]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,3,4,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,4,2,3]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,5,4,3,2]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,4,5,6]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>1 [2,1,3,4,6,5]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>1 [2,1,3,5,4,6]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>1 [2,1,3,5,6,4]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>2 [2,1,3,6,4,5]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>1 [2,1,3,6,5,4]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>1 [2,1,4,3,5,6]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>1 [2,1,4,3,6,5]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>1 [2,1,4,5,3,6]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>2 [2,1,4,5,6,3]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>4 [2,1,4,6,3,5]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>3 [2,1,4,6,5,3]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>3 [2,1,5,3,4,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>1 [2,1,5,3,6,4]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>2 [2,1,5,4,3,6]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>1 [2,1,5,4,6,3]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>2 [2,1,5,6,3,4]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>3 [2,1,5,6,4,3]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>3 [2,1,6,3,4,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>1 [2,1,6,3,5,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>1 [2,1,6,4,3,5]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>1 [2,1,6,4,5,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>1 [2,1,6,5,3,4]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>1 [2,1,6,5,4,3]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>1 [2,3,1,4,5,6]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>2 [2,3,1,4,6,5]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>2 [2,3,1,5,4,6]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>2 [2,3,1,5,6,4]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>4 [2,3,1,6,4,5]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>2 [2,3,1,6,5,4]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>2 [2,3,4,1,5,6]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>4 [2,3,4,1,6,5]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>4 [2,3,4,5,1,6]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>8 [2,3,4,5,6,1]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>16 [2,3,4,6,1,5]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>12 [2,3,4,6,5,1]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>12 [2,3,5,1,4,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>6 [2,3,5,1,6,4]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>12 [2,3,5,4,1,6]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>6 [2,3,5,4,6,1]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>12 [2,3,5,6,1,4]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>18 [2,3,5,6,4,1]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>18 [2,3,6,1,4,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>8 [2,3,6,1,5,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>8 [2,3,6,4,1,5]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>8 [2,3,6,4,5,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>8 [2,3,6,5,1,4]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>8 [2,3,6,5,4,1]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>8 [2,4,1,3,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>3 [2,4,1,3,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>3 [2,4,1,5,3,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>6 [2,4,1,5,6,3]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>12 [2,4,1,6,3,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>9 [2,4,1,6,5,3]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>9 [2,4,3,1,5,6]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>3 [2,4,3,1,6,5]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>3 [2,4,3,5,1,6]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>6 [2,4,3,5,6,1]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>12 [2,4,3,6,1,5]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>9 [2,4,3,6,5,1]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>9 [2,4,5,1,3,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>9 [2,4,5,1,6,3]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>18 [2,4,5,3,1,6]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>9 [2,4,5,3,6,1]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>18 [2,4,5,6,1,3]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>27 [2,4,5,6,3,1]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>27 [2,4,6,1,3,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>18 [2,4,6,1,5,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>18 [2,4,6,3,1,5]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>18 [2,4,6,3,5,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>18 [2,4,6,5,1,3]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>18 [2,4,6,5,3,1]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>18 [2,5,1,3,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>4 [2,5,1,3,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [2,5,1,4,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>4 [2,5,1,4,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [2,5,1,6,3,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>12 [2,5,1,6,4,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>12 [2,5,3,1,4,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>4 [2,5,3,1,6,4]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [2,5,3,4,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>4 [2,5,3,4,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [2,5,3,6,1,4]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>12 [2,5,3,6,4,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>12 [2,5,4,1,3,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>4 [2,5,4,1,6,3]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [2,5,4,3,1,6]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>4 [2,5,4,3,6,1]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>8 [2,5,4,6,1,3]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>12 [2,5,4,6,3,1]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>12 [2,5,6,1,3,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>16 [2,5,6,1,4,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>16 [2,5,6,3,1,4]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>16 [2,5,6,3,4,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>16 [2,5,6,4,1,3]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>16 [2,5,6,4,3,1]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>16 [2,6,1,3,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,1,3,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,1,4,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,1,4,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,1,5,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,1,5,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,3,1,4,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,3,1,5,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,3,4,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,3,4,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,3,5,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,3,5,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,4,1,3,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,4,1,5,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,4,3,1,5]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,4,3,5,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,4,5,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,4,5,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,5,1,3,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,5,1,4,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,5,3,1,4]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,5,3,4,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,5,4,1,3]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,5,4,3,1]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,2,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [3,1,2,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>1 [3,1,2,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>1 [3,1,2,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>2 [3,1,2,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>1 [3,1,2,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>1 [3,1,4,2,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>2 [3,1,4,2,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>2 [3,1,4,5,2,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>4 [3,1,4,5,6,2]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>8 [3,1,4,6,2,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>6 [3,1,4,6,5,2]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>6 [3,1,5,2,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>3 [3,1,5,2,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>6 [3,1,5,4,2,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>3 [3,1,5,4,6,2]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>6 [3,1,5,6,2,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>9 [3,1,5,6,4,2]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>9 [3,1,6,2,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,1,6,2,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,1,6,4,2,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,1,6,4,5,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,1,6,5,2,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,1,6,5,4,2]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,2,1,4,5,6]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>1 [3,2,1,4,6,5]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>1 [3,2,1,5,4,6]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>1 [3,2,1,5,6,4]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>2 [3,2,1,6,4,5]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>1 [3,2,1,6,5,4]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>1 [3,2,4,1,5,6]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>2 [3,2,4,1,6,5]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>2 [3,2,4,5,1,6]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>4 [3,2,4,5,6,1]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>8 [3,2,4,6,1,5]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>6 [3,2,4,6,5,1]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>6 [3,2,5,1,4,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>3 [3,2,5,1,6,4]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>6 [3,2,5,4,1,6]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>3 [3,2,5,4,6,1]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>6 [3,2,5,6,1,4]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>9 [3,2,5,6,4,1]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>9 [3,2,6,1,4,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,2,6,1,5,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,2,6,4,1,5]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,2,6,4,5,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,2,6,5,1,4]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,2,6,5,4,1]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>4 [3,4,1,2,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>3 [3,4,1,2,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>3 [3,4,1,5,2,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>6 [3,4,1,5,6,2]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>12 [3,4,1,6,2,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>9 [3,4,1,6,5,2]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>9 [3,4,2,1,5,6]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>3 [3,4,2,1,6,5]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>3 [3,4,2,5,1,6]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>6 [3,4,2,5,6,1]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>12 [3,4,2,6,1,5]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>9 [3,4,2,6,5,1]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>9 [3,4,5,1,2,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>9 [3,4,5,1,6,2]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>18 [3,4,5,2,1,6]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>9 [3,4,5,2,6,1]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>18 [3,4,5,6,1,2]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>27 [3,4,5,6,2,1]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>27 [3,4,6,1,2,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>18 [3,4,6,1,5,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>18 [3,4,6,2,1,5]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>18 [3,4,6,2,5,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>18 [3,4,6,5,1,2]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>18 [3,4,6,5,2,1]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>18 [3,5,1,2,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,1,2,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>12 [3,5,1,4,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,1,4,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>12 [3,5,1,6,2,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>18 [3,5,1,6,4,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>18 [3,5,2,1,4,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,2,1,6,4]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>12 [3,5,2,4,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,2,4,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>12 [3,5,2,6,1,4]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>18 [3,5,2,6,4,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>18 [3,5,4,1,2,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,4,1,6,2]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>12 [3,5,4,2,1,6]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>6 [3,5,4,2,6,1]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>12 [3,5,4,6,1,2]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>18 [3,5,4,6,2,1]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>18 [3,5,6,1,2,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>24 [3,5,6,1,4,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>24 [3,5,6,2,1,4]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>24 [3,5,6,2,4,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>24 [3,5,6,4,1,2]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>24 [3,5,6,4,2,1]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>24 [3,6,1,2,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,1,2,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,1,4,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,1,4,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,1,5,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,1,5,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,2,1,4,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,2,1,5,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,2,4,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,2,4,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,2,5,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,2,5,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,4,1,2,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,4,1,5,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,4,2,1,5]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,4,2,5,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,4,5,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,4,5,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,5,1,2,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,5,1,4,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,5,2,1,4]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,5,2,4,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,5,4,1,2]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,6,5,4,2,1]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>10 [4,1,2,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>1 [4,1,2,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>1 [4,1,2,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>2 [4,1,2,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,1,2,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,1,2,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,1,3,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>1 [4,1,3,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>1 [4,1,3,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>2 [4,1,3,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,1,3,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,1,3,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,1,5,2,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>3 [4,1,5,2,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>6 [4,1,5,3,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>3 [4,1,5,3,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>6 [4,1,5,6,2,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>9 [4,1,5,6,3,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>9 [4,1,6,2,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,1,6,2,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,1,6,3,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,1,6,3,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,1,6,5,2,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,1,6,5,3,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,2,1,3,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>1 [4,2,1,3,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>1 [4,2,1,5,3,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>2 [4,2,1,5,6,3]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,2,1,6,3,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,2,1,6,5,3]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,2,3,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>1 [4,2,3,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>1 [4,2,3,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>2 [4,2,3,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,2,3,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,2,3,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,2,5,1,3,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>3 [4,2,5,1,6,3]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>6 [4,2,5,3,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>3 [4,2,5,3,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>6 [4,2,5,6,1,3]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>9 [4,2,5,6,3,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>9 [4,2,6,1,3,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,2,6,1,5,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,2,6,3,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,2,6,3,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,2,6,5,1,3]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,2,6,5,3,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,3,1,2,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>1 [4,3,1,2,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>1 [4,3,1,5,2,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>2 [4,3,1,5,6,2]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,3,1,6,2,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,3,1,6,5,2]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,3,2,1,5,6]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>1 [4,3,2,1,6,5]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>1 [4,3,2,5,1,6]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>2 [4,3,2,5,6,1]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>4 [4,3,2,6,1,5]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,3,2,6,5,1]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>3 [4,3,5,1,2,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>3 [4,3,5,1,6,2]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>6 [4,3,5,2,1,6]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>3 [4,3,5,2,6,1]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>6 [4,3,5,6,1,2]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>9 [4,3,5,6,2,1]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>9 [4,3,6,1,2,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,3,6,1,5,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,3,6,2,1,5]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,3,6,2,5,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,3,6,5,1,2]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,3,6,5,2,1]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>6 [4,5,1,2,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>4 [4,5,1,2,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>8 [4,5,1,3,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>4 [4,5,1,3,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>8 [4,5,1,6,2,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>12 [4,5,1,6,3,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>12 [4,5,2,1,3,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>4 [4,5,2,1,6,3]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>8 [4,5,2,3,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>4 [4,5,2,3,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>8 [4,5,2,6,1,3]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>12 [4,5,2,6,3,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>12 [4,5,3,1,2,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>4 [4,5,3,1,6,2]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>8 [4,5,3,2,1,6]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>4 [4,5,3,2,6,1]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>8 [4,5,3,6,1,2]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>12 [4,5,3,6,2,1]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>12 [4,5,6,1,2,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>16 [4,5,6,1,3,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>16 [4,5,6,2,1,3]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>16 [4,5,6,2,3,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>16 [4,5,6,3,1,2]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>16 [4,5,6,3,2,1]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>16 [4,6,1,2,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,1,2,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,1,3,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,1,3,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,1,5,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,1,5,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,2,1,3,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,2,1,5,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,2,3,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,2,3,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,2,5,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,2,5,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,3,1,2,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,3,1,5,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,3,2,1,5]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,3,2,5,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,3,5,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,3,5,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,5,1,2,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,5,1,3,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,5,2,1,3]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,5,2,3,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,5,3,1,2]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,6,5,3,2,1]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>10 [5,1,2,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,1,2,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,1,2,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,1,2,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,1,2,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,2,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,3,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,1,3,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,1,3,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,1,3,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,1,3,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,3,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,4,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,1,4,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,1,4,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,1,4,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,1,4,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,4,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,6,2,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,1,6,2,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,1,6,3,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,1,6,3,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,1,6,4,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,1,6,4,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,2,1,3,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,2,1,3,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,2,1,4,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,2,1,4,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,2,1,6,3,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,1,6,4,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,3,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,2,3,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,2,3,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,2,3,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,2,3,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,3,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,4,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,2,4,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,2,4,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,2,4,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,2,4,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,4,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,2,6,1,3,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,2,6,1,4,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,2,6,3,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,2,6,3,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,2,6,4,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,2,6,4,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,3,1,2,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,3,1,2,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,3,1,4,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,3,1,4,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,3,1,6,2,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,1,6,4,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,2,1,4,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,3,2,1,6,4]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,3,2,4,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,3,2,4,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,3,2,6,1,4]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,2,6,4,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,4,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,3,4,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,3,4,2,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,3,4,2,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,3,4,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,4,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,3,6,1,2,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,3,6,1,4,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,3,6,2,1,4]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,3,6,2,4,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,3,6,4,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,3,6,4,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,4,1,2,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,4,1,2,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,4,1,3,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,4,1,3,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,4,1,6,2,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,1,6,3,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,2,1,3,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,4,2,1,6,3]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,4,2,3,1,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,4,2,3,6,1]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,4,2,6,1,3]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,2,6,3,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,3,1,2,6]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,4,3,1,6,2]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [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]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,4,3,6,1,2]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,3,6,2,1]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,6,1,2,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,4,6,1,3,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,4,6,2,1,3]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,4,6,2,3,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,4,6,3,1,2]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,4,6,3,2,1]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,6,1,2,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,1,2,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,1,3,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,1,3,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,1,4,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,1,4,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,2,1,3,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,2,1,4,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,2,3,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,2,3,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,2,4,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,2,4,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,3,1,2,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,3,1,4,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,3,2,1,4]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,3,2,4,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,3,4,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,3,4,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,4,1,2,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,4,1,3,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,4,2,1,3]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,4,2,3,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,4,3,1,2]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,4,3,2,1]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>5 [6,1,2,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,2,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,2,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,2,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,2,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,2,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,3,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,3,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,3,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,3,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,3,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,3,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,4,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,4,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,4,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,4,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,4,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,4,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,5,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,5,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,5,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,5,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,5,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,5,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,1,3,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,1,3,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,1,4,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,1,4,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,1,5,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,1,5,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,3,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,3,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,3,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,3,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,3,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,3,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,4,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,4,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,4,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,4,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,4,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,4,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,5,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,5,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,5,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,5,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,5,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,5,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,1,2,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,1,2,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,1,4,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,1,4,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,1,5,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,1,5,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,2,1,4,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,2,1,5,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,2,4,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,2,4,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,2,5,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,2,5,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,4,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,4,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,4,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,4,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,4,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,4,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,5,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,5,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,5,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,5,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,5,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,5,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,1,2,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,1,2,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,1,3,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,1,3,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,1,5,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,1,5,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,2,1,3,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,2,1,5,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,2,3,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,2,3,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,2,5,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,2,5,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,3,1,2,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,3,1,5,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,3,2,1,5]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,3,2,5,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,3,5,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,3,5,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,5,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,5,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,5,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,5,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,5,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,4,5,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,1,2,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,1,2,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,1,3,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,1,3,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,1,4,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,1,4,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,2,1,3,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,2,1,4,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,2,3,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,2,3,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,2,4,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,2,4,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,3,1,2,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,3,1,4,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,3,2,1,4]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,3,2,4,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,3,4,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,3,4,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,4,1,2,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,4,1,3,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,4,2,1,3]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,4,2,3,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,4,3,1,2]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,4,3,2,1]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,3,4,5,6,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,2,3,4,5,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,2,3,4,6,5,7]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,2,3,4,6,7,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,2,3,4,7,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,4,7,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,5,4,6,7]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,2,3,5,4,7,6]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,2,3,5,6,4,7]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,2,3,5,6,7,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,2,3,5,7,4,6]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,2,3,5,7,6,4]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,2,3,6,4,5,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,2,3,6,4,7,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,2,3,6,5,4,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,2,3,6,5,7,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,2,3,6,7,4,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,2,3,6,7,5,4]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,2,3,7,4,5,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,7,4,6,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,7,5,4,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,7,6,4,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,4,3,5,6,7]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,2,4,3,5,7,6]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,2,4,3,6,5,7]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>1 [1,2,4,3,6,7,5]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,2,4,3,7,5,6]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,2,4,3,7,6,5]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,2,4,5,3,6,7]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,2,4,5,3,7,6]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,2,4,5,6,3,7]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>4 [1,2,4,5,6,7,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>8 [1,2,4,5,7,3,6]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>6 [1,2,4,5,7,6,3]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>6 [1,2,4,6,3,5,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,2,4,6,3,7,5]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>6 [1,2,4,6,5,3,7]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,2,4,6,5,7,3]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>6 [1,2,4,6,7,3,5]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>9 [1,2,4,6,7,5,3]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>9 [1,2,4,7,3,5,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,2,4,7,3,6,5]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,2,4,7,5,3,6]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,2,4,7,5,6,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,2,4,7,6,3,5]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,2,4,7,6,5,3]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,2,5,3,4,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,2,5,3,4,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,2,5,3,6,4,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>2 [1,2,5,3,6,7,4]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,2,5,3,7,4,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,2,5,3,7,6,4]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,2,5,4,3,6,7]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,2,5,4,3,7,6]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,2,5,4,6,3,7]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>2 [1,2,5,4,6,7,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,2,5,4,7,3,6]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,2,5,4,7,6,3]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,2,5,6,3,4,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,2,5,6,3,7,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,2,5,6,4,3,7]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,2,5,6,4,7,3]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,2,5,6,7,3,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>9 [1,2,5,6,7,4,3]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>9 [1,2,5,7,3,4,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,2,5,7,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,2,5,7,4,3,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,2,5,7,4,6,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,2,5,7,6,3,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,2,5,7,6,4,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,2,6,3,4,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,2,6,3,4,7,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,2,6,3,5,4,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,2,6,3,5,7,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,2,6,3,7,4,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,2,6,3,7,5,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,2,6,4,3,5,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,2,6,4,3,7,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,2,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,2,6,4,5,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,2,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,2,6,4,7,5,3]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,2,6,5,3,4,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,2,6,5,3,7,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,2,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,2,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,2,6,5,7,3,4]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,2,6,5,7,4,3]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,2,6,7,3,4,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,2,6,7,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,2,6,7,4,3,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,2,6,7,4,5,3]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,2,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,2,6,7,5,4,3]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,2,7,3,4,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,3,4,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,3,5,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,3,5,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,3,6,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,3,6,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,4,3,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,4,3,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,4,5,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,4,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,5,3,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,5,3,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,5,4,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,6,3,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,6,3,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,6,4,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,6,4,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,3,2,4,5,6,7]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,3,2,4,5,7,6]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,3,2,4,6,5,7]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,3,2,4,6,7,5]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,3,2,4,7,5,6]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,3,2,4,7,6,5]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,3,2,5,4,6,7]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,3,2,5,4,7,6]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,3,2,5,6,4,7]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,3,2,5,6,7,4]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>4 [1,3,2,5,7,4,6]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,3,2,5,7,6,4]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,3,2,6,4,5,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,3,2,6,4,7,5]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,3,2,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,3,2,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,3,2,6,7,4,5]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,3,2,6,7,5,4]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,3,2,7,4,5,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,3,2,7,4,6,5]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,3,2,7,5,4,6]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,3,2,7,5,6,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,3,2,7,6,4,5]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,3,2,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,3,4,2,5,6,7]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,3,4,2,5,7,6]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,3,4,2,6,5,7]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,3,4,2,6,7,5]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,3,4,2,7,5,6]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,3,4,2,7,6,5]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,3,4,5,2,6,7]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>4 [1,3,4,5,2,7,6]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>4 [1,3,4,5,6,2,7]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>8 [1,3,4,5,6,7,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>16 [1,3,4,5,7,2,6]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>12 [1,3,4,5,7,6,2]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>12 [1,3,4,6,2,5,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>6 [1,3,4,6,2,7,5]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>12 [1,3,4,6,5,2,7]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>6 [1,3,4,6,5,7,2]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>12 [1,3,4,6,7,2,5]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>18 [1,3,4,6,7,5,2]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>18 [1,3,4,7,2,5,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [1,3,4,7,2,6,5]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [1,3,4,7,5,2,6]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [1,3,4,7,5,6,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [1,3,4,7,6,2,5]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [1,3,4,7,6,5,2]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [1,3,5,2,4,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,3,5,2,4,7,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,3,5,2,6,4,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>6 [1,3,5,2,6,7,4]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>12 [1,3,5,2,7,4,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>9 [1,3,5,2,7,6,4]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>9 [1,3,5,4,2,6,7]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,3,5,4,2,7,6]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,3,5,4,6,2,7]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>6 [1,3,5,4,6,7,2]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>12 [1,3,5,4,7,2,6]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>9 [1,3,5,4,7,6,2]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>9 [1,3,5,6,2,4,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>9 [1,3,5,6,2,7,4]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>18 [1,3,5,6,4,2,7]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>9 [1,3,5,6,4,7,2]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>18 [1,3,5,6,7,2,4]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>27 [1,3,5,6,7,4,2]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>27 [1,3,5,7,2,4,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>18 [1,3,5,7,2,6,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>18 [1,3,5,7,4,2,6]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>18 [1,3,5,7,4,6,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>18 [1,3,5,7,6,2,4]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>18 [1,3,5,7,6,4,2]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>18 [1,3,6,2,4,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,3,6,2,4,7,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>8 [1,3,6,2,5,4,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,3,6,2,5,7,4]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>8 [1,3,6,2,7,4,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>12 [1,3,6,2,7,5,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>12 [1,3,6,4,2,5,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,3,6,4,2,7,5]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>8 [1,3,6,4,5,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,3,6,4,5,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>8 [1,3,6,4,7,2,5]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>12 [1,3,6,4,7,5,2]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>12 [1,3,6,5,2,4,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,3,6,5,2,7,4]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>8 [1,3,6,5,4,2,7]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,3,6,5,4,7,2]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>8 [1,3,6,5,7,2,4]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>12 [1,3,6,5,7,4,2]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>12 [1,3,6,7,2,4,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>16 [1,3,6,7,2,5,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>16 [1,3,6,7,4,2,5]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>16 [1,3,6,7,4,5,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>16 [1,3,6,7,5,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>16 [1,3,6,7,5,4,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>16 [1,3,7,2,4,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,2,4,6,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,2,5,4,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,2,5,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,2,6,4,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,2,6,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,4,2,5,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,4,2,6,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,4,5,2,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,4,5,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,4,6,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,4,6,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,5,2,4,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,5,2,6,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,5,4,2,6]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,5,4,6,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,5,6,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,5,6,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,6,2,4,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,6,2,5,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,6,4,2,5]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,6,4,5,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,6,5,2,4]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,7,6,5,4,2]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,4,2,3,5,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,4,2,3,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,4,2,3,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,4,2,3,6,7,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>2 [1,4,2,3,7,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,4,2,3,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,4,2,5,3,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,4,2,5,3,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,4,2,5,6,3,7]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>4 [1,4,2,5,6,7,3]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>8 [1,4,2,5,7,3,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>6 [1,4,2,5,7,6,3]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>6 [1,4,2,6,3,5,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,4,2,6,3,7,5]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>6 [1,4,2,6,5,3,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,4,2,6,5,7,3]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>6 [1,4,2,6,7,3,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>9 [1,4,2,6,7,5,3]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>9 [1,4,2,7,3,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,2,7,3,6,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,2,7,5,3,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,2,7,5,6,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,2,7,6,3,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,2,7,6,5,3]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,3,2,5,6,7]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,4,3,2,5,7,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,4,3,2,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,4,3,2,6,7,5]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>2 [1,4,3,2,7,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,4,3,2,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,4,3,5,2,6,7]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,4,3,5,2,7,6]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,4,3,5,6,2,7]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>4 [1,4,3,5,6,7,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>8 [1,4,3,5,7,2,6]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>6 [1,4,3,5,7,6,2]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>6 [1,4,3,6,2,5,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,4,3,6,2,7,5]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>6 [1,4,3,6,5,2,7]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,4,3,6,5,7,2]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>6 [1,4,3,6,7,2,5]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>9 [1,4,3,6,7,5,2]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>9 [1,4,3,7,2,5,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,3,7,2,6,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,3,7,5,2,6]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,3,7,5,6,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,3,7,6,2,5]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,3,7,6,5,2]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,4,5,2,3,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>3 [1,4,5,2,3,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,4,5,2,6,3,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>6 [1,4,5,2,6,7,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>12 [1,4,5,2,7,3,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>9 [1,4,5,2,7,6,3]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>9 [1,4,5,3,2,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>3 [1,4,5,3,2,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,4,5,3,6,2,7]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>6 [1,4,5,3,6,7,2]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>12 [1,4,5,3,7,2,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>9 [1,4,5,3,7,6,2]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>9 [1,4,5,6,2,3,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>9 [1,4,5,6,2,7,3]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>18 [1,4,5,6,3,2,7]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>9 [1,4,5,6,3,7,2]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>18 [1,4,5,6,7,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>27 [1,4,5,6,7,3,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>27 [1,4,5,7,2,3,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>18 [1,4,5,7,2,6,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>18 [1,4,5,7,3,2,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>18 [1,4,5,7,3,6,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>18 [1,4,5,7,6,2,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>18 [1,4,5,7,6,3,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>18 [1,4,6,2,3,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,4,6,2,3,7,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12 [1,4,6,2,5,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,4,6,2,5,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12 [1,4,6,2,7,3,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>18 [1,4,6,2,7,5,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>18 [1,4,6,3,2,5,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,4,6,3,2,7,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12 [1,4,6,3,5,2,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,4,6,3,5,7,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12 [1,4,6,3,7,2,5]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>18 [1,4,6,3,7,5,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>18 [1,4,6,5,2,3,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,4,6,5,2,7,3]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12 [1,4,6,5,3,2,7]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,4,6,5,3,7,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12 [1,4,6,5,7,2,3]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>18 [1,4,6,5,7,3,2]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>18 [1,4,6,7,2,3,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>24 [1,4,6,7,2,5,3]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>24 [1,4,6,7,3,2,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>24 [1,4,6,7,3,5,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>24 [1,4,6,7,5,2,3]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>24 [1,4,6,7,5,3,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>24 [1,4,7,2,3,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,2,3,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,2,5,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,2,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,2,6,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,2,6,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,3,2,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,3,2,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,3,5,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,3,5,6,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,3,6,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,3,6,5,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,5,2,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,5,2,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,5,3,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,5,3,6,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,5,6,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,5,6,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,6,2,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,6,2,5,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,6,3,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,6,3,5,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,6,5,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,4,7,6,5,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,5,2,3,4,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,5,2,3,4,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,5,2,3,6,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,5,2,3,6,7,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,5,2,3,7,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,2,3,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,2,4,3,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,5,2,4,3,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,5,2,4,6,3,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,5,2,4,6,7,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,5,2,4,7,3,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,2,4,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,2,6,3,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,5,2,6,3,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>6 [1,5,2,6,4,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,5,2,6,4,7,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>6 [1,5,2,6,7,3,4]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>9 [1,5,2,6,7,4,3]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>9 [1,5,2,7,3,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,2,7,3,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,2,7,4,3,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,2,7,4,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,2,7,6,3,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,2,7,6,4,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,3,2,4,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,5,3,2,4,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,5,3,2,6,4,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,5,3,2,6,7,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,5,3,2,7,4,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,3,2,7,6,4]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,3,4,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,5,3,4,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,5,3,4,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,5,3,4,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,5,3,4,7,2,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,3,4,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,3,6,2,4,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,5,3,6,2,7,4]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>6 [1,5,3,6,4,2,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,5,3,6,4,7,2]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>6 [1,5,3,6,7,2,4]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>9 [1,5,3,6,7,4,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>9 [1,5,3,7,2,4,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,3,7,2,6,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,3,7,4,2,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,3,7,4,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,3,7,6,2,4]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,3,7,6,4,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,4,2,3,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,5,4,2,3,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,5,4,2,6,3,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,5,4,2,6,7,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,5,4,2,7,3,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,4,2,7,6,3]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,4,3,2,6,7]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,5,4,3,2,7,6]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,5,4,3,6,2,7]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,5,4,3,6,7,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,5,4,3,7,2,6]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,4,3,7,6,2]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,5,4,6,2,3,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,5,4,6,2,7,3]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>6 [1,5,4,6,3,2,7]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,5,4,6,3,7,2]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>6 [1,5,4,6,7,2,3]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>9 [1,5,4,6,7,3,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>9 [1,5,4,7,2,3,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,4,7,2,6,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,4,7,3,2,6]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,4,7,3,6,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,4,7,6,2,3]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,4,7,6,3,2]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,5,6,2,3,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,5,6,2,3,7,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8 [1,5,6,2,4,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,5,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8 [1,5,6,2,7,3,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>12 [1,5,6,2,7,4,3]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>12 [1,5,6,3,2,4,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,5,6,3,2,7,4]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8 [1,5,6,3,4,2,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,5,6,3,4,7,2]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8 [1,5,6,3,7,2,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>12 [1,5,6,3,7,4,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>12 [1,5,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,5,6,4,2,7,3]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8 [1,5,6,4,3,2,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,5,6,4,3,7,2]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8 [1,5,6,4,7,2,3]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>12 [1,5,6,4,7,3,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>12 [1,5,6,7,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [1,5,6,7,2,4,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [1,5,6,7,3,2,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [1,5,6,7,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [1,5,6,7,4,2,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [1,5,6,7,4,3,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [1,5,7,2,3,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,2,3,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,2,4,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,2,4,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,3,2,4,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,3,2,6,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,3,4,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,3,4,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,3,6,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,3,6,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,4,2,3,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,4,3,2,6]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,4,3,6,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,4,6,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,6,2,3,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,6,3,2,4]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,6,3,4,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,6,4,2,3]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,5,7,6,4,3,2]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,6,2,3,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,2,3,4,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,2,3,5,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,2,3,5,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,2,3,7,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,2,3,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,2,4,3,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,2,4,3,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,2,4,5,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,2,4,5,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,2,4,7,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,2,4,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,2,5,3,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,2,5,3,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,2,5,4,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,2,5,4,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,2,5,7,3,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,2,5,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,2,7,3,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,2,7,3,5,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,2,7,4,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,2,7,4,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,2,7,5,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,3,2,4,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,3,2,4,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,3,2,5,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,3,2,5,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,3,2,7,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,3,4,2,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,3,4,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,3,4,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,3,5,2,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,3,5,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,3,5,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,3,5,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,3,5,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,3,7,2,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,3,7,2,5,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,3,7,4,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,3,7,4,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,4,2,3,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,4,2,3,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,4,2,5,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,4,2,5,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,4,2,7,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,4,3,2,5,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,4,3,5,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,4,5,2,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,4,5,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,4,5,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,4,5,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,4,7,2,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,4,7,3,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,4,7,3,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,5,2,3,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,5,2,3,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,5,2,4,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,5,2,4,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,5,2,7,3,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,5,3,2,4,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,5,3,4,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,5,3,4,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,5,3,7,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,5,4,2,3,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,6,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,6,5,7,2,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,5,7,2,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,5,7,3,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,5,7,4,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,7,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,2,3,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,2,4,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,2,4,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,2,5,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,2,5,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,3,2,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,3,2,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,3,4,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,3,4,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,3,5,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,3,5,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,4,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,4,2,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,4,3,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,4,3,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,4,5,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,5,3,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,7,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,3,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,3,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,4,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,4,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,5,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,5,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,6,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,6,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,6,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,6,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,6,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,2,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,2,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,2,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,2,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,2,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,4,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,4,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,5,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,6,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,6,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,2,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,2,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,3,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,3,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,5,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,6,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,2,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,2,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,2,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,2,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,2,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,3,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,3,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,3,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,4,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,6,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,6,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,6,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,2,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,2,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,3,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,4,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,4,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,4,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,4,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,3,4,5,6,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [2,1,3,4,5,7,6]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>1 [2,1,3,4,6,5,7]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>1 [2,1,3,4,6,7,5]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2 [2,1,3,4,7,5,6]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1 [2,1,3,4,7,6,5]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1 [2,1,3,5,4,6,7]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>1 [2,1,3,5,4,7,6]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>1 [2,1,3,5,6,4,7]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>2 [2,1,3,5,6,7,4]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>4 [2,1,3,5,7,4,6]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [2,1,3,5,7,6,4]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [2,1,3,6,4,5,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [2,1,3,6,4,7,5]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>2 [2,1,3,6,5,4,7]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [2,1,3,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>2 [2,1,3,6,7,4,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3 [2,1,3,6,7,5,4]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3 [2,1,3,7,4,5,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,1,3,7,4,6,5]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,1,3,7,5,4,6]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,1,3,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,1,3,7,6,4,5]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,1,3,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,1,4,3,5,6,7]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>1 [2,1,4,3,5,7,6]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>1 [2,1,4,3,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1 [2,1,4,3,6,7,5]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>2 [2,1,4,3,7,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>1 [2,1,4,3,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>1 [2,1,4,5,3,6,7]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>2 [2,1,4,5,3,7,6]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>2 [2,1,4,5,6,3,7]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>4 [2,1,4,5,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>8 [2,1,4,5,7,3,6]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>6 [2,1,4,5,7,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>6 [2,1,4,6,3,5,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>3 [2,1,4,6,3,7,5]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>6 [2,1,4,6,5,3,7]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>3 [2,1,4,6,5,7,3]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>6 [2,1,4,6,7,3,5]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>9 [2,1,4,6,7,5,3]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>9 [2,1,4,7,3,5,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4 [2,1,4,7,3,6,5]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4 [2,1,4,7,5,3,6]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4 [2,1,4,7,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4 [2,1,4,7,6,3,5]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4 [2,1,4,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4 [2,1,5,3,4,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1 [2,1,5,3,4,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>1 [2,1,5,3,6,4,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>2 [2,1,5,3,6,7,4]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>4 [2,1,5,3,7,4,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>3 [2,1,5,3,7,6,4]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>3 [2,1,5,4,3,6,7]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1 [2,1,5,4,3,7,6]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>1 [2,1,5,4,6,3,7]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>2 [2,1,5,4,6,7,3]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>4 [2,1,5,4,7,3,6]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>3 [2,1,5,4,7,6,3]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>3 [2,1,5,6,3,4,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>3 [2,1,5,6,3,7,4]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>6 [2,1,5,6,4,3,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>3 [2,1,5,6,4,7,3]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>6 [2,1,5,6,7,3,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>9 [2,1,5,6,7,4,3]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>9 [2,1,5,7,3,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [2,1,5,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [2,1,5,7,4,3,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [2,1,5,7,4,6,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [2,1,5,7,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [2,1,5,7,6,4,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [2,1,6,3,4,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [2,1,6,3,4,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [2,1,6,3,5,4,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [2,1,6,3,5,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [2,1,6,3,7,4,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3 [2,1,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3 [2,1,6,4,3,5,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [2,1,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [2,1,6,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [2,1,6,4,5,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [2,1,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3 [2,1,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3 [2,1,6,5,3,4,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [2,1,6,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [2,1,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [2,1,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [2,1,6,5,7,3,4]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3 [2,1,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3 [2,1,6,7,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [2,1,6,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [2,1,6,7,4,3,5]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [2,1,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [2,1,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [2,1,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [2,1,7,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,3,4,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,3,5,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,3,5,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,3,6,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,3,6,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,4,3,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,4,3,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,4,5,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,4,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,5,3,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,5,3,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,5,4,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,6,3,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,6,3,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,6,4,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,3,1,4,5,6,7]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,3,1,4,5,7,6]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>2 [2,3,1,4,6,5,7]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>2 [2,3,1,4,6,7,5]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>4 [2,3,1,4,7,5,6]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>2 [2,3,1,4,7,6,5]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>2 [2,3,1,5,4,6,7]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>2 [2,3,1,5,4,7,6]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>2 [2,3,1,5,6,4,7]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>4 [2,3,1,5,6,7,4]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>8 [2,3,1,5,7,4,6]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>6 [2,3,1,5,7,6,4]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>6 [2,3,1,6,4,5,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,3,1,6,4,7,5]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>4 [2,3,1,6,5,4,7]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>2 [2,3,1,6,5,7,4]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>4 [2,3,1,6,7,4,5]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>6 [2,3,1,6,7,5,4]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>6 [2,3,1,7,4,5,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,3,1,7,4,6,5]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,3,1,7,5,4,6]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,3,1,7,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,3,1,7,6,4,5]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,3,1,7,6,5,4]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,3,4,1,5,6,7]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>4 [2,3,4,1,5,7,6]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>4 [2,3,4,1,6,5,7]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>4 [2,3,4,1,6,7,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>8 [2,3,4,1,7,5,6]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>4 [2,3,4,1,7,6,5]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>4 [2,3,4,5,1,6,7]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>8 [2,3,4,5,1,7,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>8 [2,3,4,5,6,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>16 [2,3,4,5,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>32 [2,3,4,5,7,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>24 [2,3,4,5,7,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>24 [2,3,4,6,1,5,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>12 [2,3,4,6,1,7,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>24 [2,3,4,6,5,1,7]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>12 [2,3,4,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>24 [2,3,4,6,7,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>36 [2,3,4,6,7,5,1]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>36 [2,3,4,7,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [2,3,4,7,1,6,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [2,3,4,7,5,1,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [2,3,4,7,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [2,3,4,7,6,1,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [2,3,4,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [2,3,5,1,4,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>6 [2,3,5,1,4,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>6 [2,3,5,1,6,4,7]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>12 [2,3,5,1,6,7,4]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>24 [2,3,5,1,7,4,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>18 [2,3,5,1,7,6,4]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>18 [2,3,5,4,1,6,7]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>6 [2,3,5,4,1,7,6]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>6 [2,3,5,4,6,1,7]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>12 [2,3,5,4,6,7,1]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>24 [2,3,5,4,7,1,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>18 [2,3,5,4,7,6,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>18 [2,3,5,6,1,4,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>18 [2,3,5,6,1,7,4]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>36 [2,3,5,6,4,1,7]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>18 [2,3,5,6,4,7,1]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>36 [2,3,5,6,7,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>54 [2,3,5,6,7,4,1]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>54 [2,3,5,7,1,4,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>36 [2,3,5,7,1,6,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>36 [2,3,5,7,4,1,6]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>36 [2,3,5,7,4,6,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>36 [2,3,5,7,6,1,4]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>36 [2,3,5,7,6,4,1]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>36 [2,3,6,1,4,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>8 [2,3,6,1,4,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [2,3,6,1,5,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>8 [2,3,6,1,5,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [2,3,6,1,7,4,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>24 [2,3,6,1,7,5,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>24 [2,3,6,4,1,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>8 [2,3,6,4,1,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [2,3,6,4,5,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>8 [2,3,6,4,5,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [2,3,6,4,7,1,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>24 [2,3,6,4,7,5,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>24 [2,3,6,5,1,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>8 [2,3,6,5,1,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [2,3,6,5,4,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>8 [2,3,6,5,4,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [2,3,6,5,7,1,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>24 [2,3,6,5,7,4,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>24 [2,3,6,7,1,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>32 [2,3,6,7,1,5,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>32 [2,3,6,7,4,1,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>32 [2,3,6,7,4,5,1]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>32 [2,3,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>32 [2,3,6,7,5,4,1]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>32 [2,3,7,1,4,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,1,4,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,1,5,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,1,5,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,1,6,4,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,1,6,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,4,1,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,4,1,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,4,5,1,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,4,6,1,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,4,6,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,5,1,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,5,1,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,5,4,1,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,5,6,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,5,6,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,6,1,4,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,6,1,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,6,4,1,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,6,4,5,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,6,5,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,4,1,3,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>3 [2,4,1,3,5,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,1,3,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>3 [2,4,1,3,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>6 [2,4,1,3,7,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,1,3,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,1,5,3,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>6 [2,4,1,5,3,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>6 [2,4,1,5,6,3,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>12 [2,4,1,5,6,7,3]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>24 [2,4,1,5,7,3,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>18 [2,4,1,5,7,6,3]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>18 [2,4,1,6,3,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>9 [2,4,1,6,3,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [2,4,1,6,5,3,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>9 [2,4,1,6,5,7,3]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [2,4,1,6,7,3,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>27 [2,4,1,6,7,5,3]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>27 [2,4,1,7,3,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,1,7,3,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,1,7,5,3,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,1,7,5,6,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,1,7,6,3,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,1,7,6,5,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,3,1,5,6,7]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>3 [2,4,3,1,5,7,6]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>3 [2,4,3,1,6,5,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>3 [2,4,3,1,6,7,5]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>6 [2,4,3,1,7,5,6]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,3,1,7,6,5]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,3,5,1,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>6 [2,4,3,5,1,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>6 [2,4,3,5,6,1,7]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>12 [2,4,3,5,6,7,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>24 [2,4,3,5,7,1,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>18 [2,4,3,5,7,6,1]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>18 [2,4,3,6,1,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>9 [2,4,3,6,1,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [2,4,3,6,5,1,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>9 [2,4,3,6,5,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [2,4,3,6,7,1,5]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>27 [2,4,3,6,7,5,1]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>27 [2,4,3,7,1,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,3,7,1,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,3,7,5,1,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,3,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,3,7,6,1,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,3,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [2,4,5,1,3,6,7]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>9 [2,4,5,1,3,7,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>9 [2,4,5,1,6,3,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>18 [2,4,5,1,6,7,3]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>36 [2,4,5,1,7,3,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>27 [2,4,5,1,7,6,3]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>27 [2,4,5,3,1,6,7]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>9 [2,4,5,3,1,7,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>9 [2,4,5,3,6,1,7]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>18 [2,4,5,3,6,7,1]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>36 [2,4,5,3,7,1,6]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>27 [2,4,5,3,7,6,1]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>27 [2,4,5,6,1,3,7]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>27 [2,4,5,6,1,7,3]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>54 [2,4,5,6,3,1,7]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>27 [2,4,5,6,3,7,1]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>54 [2,4,5,6,7,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>81 [2,4,5,6,7,3,1]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>81 [2,4,5,7,1,3,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>54 [2,4,5,7,1,6,3]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>54 [2,4,5,7,3,1,6]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>54 [2,4,5,7,3,6,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>54 [2,4,5,7,6,1,3]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>54 [2,4,5,7,6,3,1]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>54 [2,4,6,1,3,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>18 [2,4,6,1,3,7,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>36 [2,4,6,1,5,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>18 [2,4,6,1,5,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>36 [2,4,6,1,7,3,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>54 [2,4,6,1,7,5,3]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>54 [2,4,6,3,1,5,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>18 [2,4,6,3,1,7,5]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>36 [2,4,6,3,5,1,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>18 [2,4,6,3,5,7,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>36 [2,4,6,3,7,1,5]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>54 [2,4,6,3,7,5,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>54 [2,4,6,5,1,3,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>18 [2,4,6,5,1,7,3]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>36 [2,4,6,5,3,1,7]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>18 [2,4,6,5,3,7,1]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>36 [2,4,6,5,7,1,3]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>54 [2,4,6,5,7,3,1]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>54 [2,4,6,7,1,3,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [2,4,6,7,1,5,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [2,4,6,7,3,1,5]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [2,4,6,7,3,5,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [2,4,6,7,5,1,3]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [2,4,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [2,4,7,1,3,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,1,3,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,1,5,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,1,5,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,1,6,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,3,1,5,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,3,1,6,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,3,5,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,3,5,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,3,6,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,3,6,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,5,1,3,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,5,1,6,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,5,3,1,6]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,5,3,6,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,5,6,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,6,1,3,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,6,1,5,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,6,3,1,5]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,6,3,5,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,4,7,6,5,3,1]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>30 [2,5,1,3,4,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,5,1,3,4,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>4 [2,5,1,3,6,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>8 [2,5,1,3,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [2,5,1,3,7,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,1,3,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,1,4,3,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,5,1,4,3,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>4 [2,5,1,4,6,3,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>8 [2,5,1,4,6,7,3]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [2,5,1,4,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,1,4,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,1,6,3,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>12 [2,5,1,6,3,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>24 [2,5,1,6,4,3,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>12 [2,5,1,6,4,7,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>24 [2,5,1,6,7,3,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>36 [2,5,1,6,7,4,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>36 [2,5,1,7,3,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,1,7,3,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,1,7,4,3,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,1,7,4,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,1,7,6,3,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,1,7,6,4,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,3,1,4,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,5,3,1,4,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>4 [2,5,3,1,6,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>8 [2,5,3,1,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [2,5,3,1,7,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,3,1,7,6,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,3,4,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,5,3,4,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>4 [2,5,3,4,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>8 [2,5,3,4,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [2,5,3,4,7,1,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,3,4,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,3,6,1,4,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>12 [2,5,3,6,1,7,4]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>24 [2,5,3,6,4,1,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>12 [2,5,3,6,4,7,1]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>24 [2,5,3,6,7,1,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>36 [2,5,3,6,7,4,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>36 [2,5,3,7,1,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,3,7,1,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,3,7,4,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,3,7,4,6,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,3,7,6,1,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,3,7,6,4,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,4,1,3,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,5,4,1,3,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>4 [2,5,4,1,6,3,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>8 [2,5,4,1,6,7,3]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [2,5,4,1,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,4,1,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,4,3,1,6,7]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [2,5,4,3,1,7,6]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>4 [2,5,4,3,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>8 [2,5,4,3,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [2,5,4,3,7,1,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,4,3,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,5,4,6,1,3,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>12 [2,5,4,6,1,7,3]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>24 [2,5,4,6,3,1,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>12 [2,5,4,6,3,7,1]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>24 [2,5,4,6,7,1,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>36 [2,5,4,6,7,3,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>36 [2,5,4,7,1,3,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,4,7,1,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,4,7,3,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,4,7,3,6,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,4,7,6,1,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,4,7,6,3,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>24 [2,5,6,1,3,4,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>16 [2,5,6,1,3,7,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>32 [2,5,6,1,4,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>16 [2,5,6,1,4,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>32 [2,5,6,1,7,3,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>48 [2,5,6,1,7,4,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>48 [2,5,6,3,1,4,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>16 [2,5,6,3,1,7,4]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>32 [2,5,6,3,4,1,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>16 [2,5,6,3,4,7,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>32 [2,5,6,3,7,1,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>48 [2,5,6,3,7,4,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>48 [2,5,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>16 [2,5,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>32 [2,5,6,4,3,1,7]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>16 [2,5,6,4,3,7,1]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>32 [2,5,6,4,7,1,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>48 [2,5,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>48 [2,5,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>64 [2,5,6,7,1,4,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>64 [2,5,6,7,3,1,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>64 [2,5,6,7,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>64 [2,5,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>64 [2,5,6,7,4,3,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>64 [2,5,7,1,3,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,1,3,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,1,4,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,1,4,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,3,1,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,3,1,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,3,4,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,3,4,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,3,6,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,3,6,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,4,1,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,4,3,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,4,3,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,4,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,6,1,3,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,6,3,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,6,3,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,6,4,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,5,7,6,4,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>40 [2,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,1,3,4,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,1,3,5,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,1,3,5,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,1,3,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,1,3,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,1,4,3,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,1,4,3,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,1,4,5,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,1,4,5,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,1,4,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,1,4,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,1,5,3,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,1,5,3,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,1,5,4,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,1,5,4,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,1,5,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,1,5,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,1,7,3,5,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,1,7,4,3,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,1,7,4,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,1,7,5,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,1,7,5,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,3,1,4,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,3,1,4,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,3,1,5,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,3,1,5,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,3,1,7,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,3,4,1,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,3,4,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,3,4,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,3,4,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,3,5,1,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,3,5,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,3,5,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,3,5,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,3,5,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,3,7,1,4,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,3,7,1,5,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,3,7,4,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,3,7,4,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,3,7,5,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,4,1,3,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,4,1,3,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,4,1,5,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,4,1,5,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,4,1,7,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,4,3,1,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,4,3,5,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,4,3,5,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,4,5,1,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,4,5,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,4,5,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,4,5,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,4,5,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,4,7,1,3,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,4,7,1,5,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,4,7,3,1,5]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,4,7,5,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,5,1,3,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,5,1,3,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,5,1,4,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,5,1,4,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,5,1,7,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,5,3,1,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,5,3,4,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,5,3,4,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,5,3,7,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,5,3,7,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,5,4,1,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,5,4,1,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>5 [2,6,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,5,4,7,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>15 [2,6,5,7,1,3,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,5,7,1,4,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,5,7,3,4,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,5,7,4,1,3]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,5,7,4,3,1]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>20 [2,6,7,1,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,1,3,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,1,4,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,1,4,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,1,5,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,1,5,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,3,1,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,3,1,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,3,4,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,3,4,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,3,5,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,3,5,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,4,1,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,4,1,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,4,3,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,4,3,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,4,5,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,5,1,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,5,1,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,5,3,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,6,7,5,4,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,7,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,3,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,3,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,3,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,3,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,4,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,4,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,4,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,4,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,4,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,5,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,5,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,5,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,5,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,6,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,6,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,6,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,6,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,6,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,1,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,1,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,1,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,1,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,1,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,1,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,4,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,4,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,4,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,5,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,5,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,5,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,6,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,6,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,6,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,6,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,3,6,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,1,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,1,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,3,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,3,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,3,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,5,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,6,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,6,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,6,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,6,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,6,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,1,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,1,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,1,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,1,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,1,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,1,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,3,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,3,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,3,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,3,4,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,3,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,4,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,6,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,6,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,6,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,1,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,1,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,1,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,3,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,3,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,3,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,3,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,4,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,4,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,4,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,4,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,5,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,2,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1 [3,1,2,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>1 [3,1,2,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>1 [3,1,2,4,6,7,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>2 [3,1,2,4,7,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1 [3,1,2,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1 [3,1,2,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1 [3,1,2,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>1 [3,1,2,5,6,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>2 [3,1,2,5,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>4 [3,1,2,5,7,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>3 [3,1,2,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>3 [3,1,2,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1 [3,1,2,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2 [3,1,2,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1 [3,1,2,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2 [3,1,2,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3 [3,1,2,6,7,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3 [3,1,2,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,1,2,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,1,2,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,1,2,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,1,2,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,1,2,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,1,4,2,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>2 [3,1,4,2,5,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>2 [3,1,4,2,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>2 [3,1,4,2,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>4 [3,1,4,2,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>2 [3,1,4,2,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>2 [3,1,4,5,2,6,7]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>4 [3,1,4,5,2,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>4 [3,1,4,5,6,2,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>8 [3,1,4,5,6,7,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>16 [3,1,4,5,7,2,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>12 [3,1,4,5,7,6,2]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>12 [3,1,4,6,2,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>6 [3,1,4,6,2,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>12 [3,1,4,6,5,2,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>6 [3,1,4,6,5,7,2]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>12 [3,1,4,6,7,2,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>18 [3,1,4,6,7,5,2]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>18 [3,1,4,7,2,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,1,4,7,2,6,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,1,4,7,5,2,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,1,4,7,5,6,2]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,1,4,7,6,2,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,1,4,7,6,5,2]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,1,5,2,4,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>3 [3,1,5,2,4,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3 [3,1,5,2,6,4,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>6 [3,1,5,2,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>12 [3,1,5,2,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>9 [3,1,5,2,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>9 [3,1,5,4,2,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>3 [3,1,5,4,2,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3 [3,1,5,4,6,2,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>6 [3,1,5,4,6,7,2]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>12 [3,1,5,4,7,2,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>9 [3,1,5,4,7,6,2]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>9 [3,1,5,6,2,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>9 [3,1,5,6,2,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>18 [3,1,5,6,4,2,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>9 [3,1,5,6,4,7,2]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>18 [3,1,5,6,7,2,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>27 [3,1,5,6,7,4,2]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>27 [3,1,5,7,2,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,1,5,7,2,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,1,5,7,4,2,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,1,5,7,4,6,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,1,5,7,6,2,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,1,5,7,6,4,2]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,1,6,2,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,1,6,2,4,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,1,6,2,5,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,1,6,2,5,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,1,6,2,7,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,1,6,2,7,5,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,1,6,4,2,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,1,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,1,6,4,5,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,1,6,4,5,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,1,6,4,7,2,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,1,6,4,7,5,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,1,6,5,2,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,1,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,1,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,1,6,5,4,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,1,6,5,7,2,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,1,6,5,7,4,2]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,1,6,7,2,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,1,6,7,2,5,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,1,6,7,4,2,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,1,6,7,4,5,2]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,1,6,7,5,2,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,1,6,7,5,4,2]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,1,7,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,2,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,2,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,2,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,2,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,2,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,4,2,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,4,2,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,4,5,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,4,5,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,4,6,2,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,4,6,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,5,2,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,5,2,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,5,4,2,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,5,4,6,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,5,6,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,5,6,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,6,2,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,6,2,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,6,4,2,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,6,4,5,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,6,5,2,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,1,4,5,6,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1 [3,2,1,4,5,7,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>1 [3,2,1,4,6,5,7]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>1 [3,2,1,4,6,7,5]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>2 [3,2,1,4,7,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1 [3,2,1,4,7,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1 [3,2,1,5,4,6,7]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1 [3,2,1,5,4,7,6]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>1 [3,2,1,5,6,4,7]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>2 [3,2,1,5,6,7,4]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>4 [3,2,1,5,7,4,6]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>3 [3,2,1,5,7,6,4]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>3 [3,2,1,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1 [3,2,1,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2 [3,2,1,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1 [3,2,1,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2 [3,2,1,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3 [3,2,1,6,7,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3 [3,2,1,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,2,1,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,2,1,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,2,1,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,2,1,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,2,1,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,2,4,1,5,6,7]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>2 [3,2,4,1,5,7,6]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>2 [3,2,4,1,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>2 [3,2,4,1,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>4 [3,2,4,1,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>2 [3,2,4,1,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>2 [3,2,4,5,1,6,7]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>4 [3,2,4,5,1,7,6]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>4 [3,2,4,5,6,1,7]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>8 [3,2,4,5,6,7,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>16 [3,2,4,5,7,1,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>12 [3,2,4,5,7,6,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>12 [3,2,4,6,1,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>6 [3,2,4,6,1,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>12 [3,2,4,6,5,1,7]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>6 [3,2,4,6,5,7,1]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>12 [3,2,4,6,7,1,5]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>18 [3,2,4,6,7,5,1]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>18 [3,2,4,7,1,5,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,2,4,7,1,6,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,2,4,7,5,1,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,2,4,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,2,4,7,6,1,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,2,4,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,2,5,1,4,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>3 [3,2,5,1,4,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3 [3,2,5,1,6,4,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>6 [3,2,5,1,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>12 [3,2,5,1,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>9 [3,2,5,1,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>9 [3,2,5,4,1,6,7]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>3 [3,2,5,4,1,7,6]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3 [3,2,5,4,6,1,7]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>6 [3,2,5,4,6,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>12 [3,2,5,4,7,1,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>9 [3,2,5,4,7,6,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>9 [3,2,5,6,1,4,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>9 [3,2,5,6,1,7,4]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>18 [3,2,5,6,4,1,7]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>9 [3,2,5,6,4,7,1]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>18 [3,2,5,6,7,1,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>27 [3,2,5,6,7,4,1]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>27 [3,2,5,7,1,4,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,2,5,7,1,6,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,2,5,7,4,1,6]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,2,5,7,4,6,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,2,5,7,6,1,4]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,2,5,7,6,4,1]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>18 [3,2,6,1,4,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,2,6,1,4,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,2,6,1,5,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,2,6,1,5,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,2,6,1,7,4,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,2,6,1,7,5,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,2,6,4,1,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,2,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,2,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,2,6,4,5,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,2,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,2,6,4,7,5,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,2,6,5,1,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,2,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,2,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [3,2,6,5,4,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,2,6,5,7,1,4]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,2,6,5,7,4,1]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>12 [3,2,6,7,1,4,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,2,6,7,1,5,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,2,6,7,4,1,5]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,2,6,7,4,5,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,2,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,2,6,7,5,4,1]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,2,7,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,1,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,1,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,1,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,1,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,1,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,4,1,5,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,4,1,6,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,4,5,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,4,6,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,5,1,4,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,5,1,6,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,5,4,1,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,5,6,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,6,1,4,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,6,1,5,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,6,4,1,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,6,4,5,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,6,5,1,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,4,1,2,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>3 [3,4,1,2,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,1,2,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>3 [3,4,1,2,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>6 [3,4,1,2,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,1,2,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,1,5,2,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>6 [3,4,1,5,2,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>6 [3,4,1,5,6,2,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>12 [3,4,1,5,6,7,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>24 [3,4,1,5,7,2,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>18 [3,4,1,5,7,6,2]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>18 [3,4,1,6,2,5,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>9 [3,4,1,6,2,7,5]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>18 [3,4,1,6,5,2,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>9 [3,4,1,6,5,7,2]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>18 [3,4,1,6,7,2,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>27 [3,4,1,6,7,5,2]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>27 [3,4,1,7,2,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,1,7,2,6,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,1,7,5,2,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,1,7,5,6,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,1,7,6,2,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,1,7,6,5,2]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,2,1,5,6,7]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>3 [3,4,2,1,5,7,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>3 [3,4,2,1,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>3 [3,4,2,1,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>6 [3,4,2,1,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,2,1,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [3,4,2,5,1,6,7]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>6 [3,4,2,5,1,7,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>6 [3,4,2,5,6,1,7]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>12 [3,4,2,5,6,7,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>24 [3,4,2,5,7,1,6]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>18 [3,4,2,5,7,6,1]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>18 [3,4,2,6,1,5,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>9 [3,4,2,6,1,7,5]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>18 [3,4,2,6,5,1,7]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>9 [3,4,2,6,5,7,1]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>18 [3,4,2,6,7,1,5]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>27 [3,4,2,6,7,5,1]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>27 [3,4,2,7,1,5,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,2,7,1,6,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,2,7,5,1,6]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,2,7,5,6,1]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,2,7,6,1,5]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,2,7,6,5,1]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>12 [3,4,5,1,2,6,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>9 [3,4,5,1,2,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>9 [3,4,5,1,6,2,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>18 [3,4,5,1,6,7,2]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>36 [3,4,5,1,7,2,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>27 [3,4,5,1,7,6,2]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>27 [3,4,5,2,1,6,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>9 [3,4,5,2,1,7,6]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>9 [3,4,5,2,6,1,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>18 [3,4,5,2,6,7,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>36 [3,4,5,2,7,1,6]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>27 [3,4,5,2,7,6,1]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>27 [3,4,5,6,1,2,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>27 [3,4,5,6,1,7,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>54 [3,4,5,6,2,1,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>27 [3,4,5,6,2,7,1]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>54 [3,4,5,6,7,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>81 [3,4,5,6,7,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>81 [3,4,5,7,1,2,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>54 [3,4,5,7,1,6,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>54 [3,4,5,7,2,1,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>54 [3,4,5,7,2,6,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>54 [3,4,5,7,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>54 [3,4,5,7,6,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>54 [3,4,6,1,2,5,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>18 [3,4,6,1,2,7,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>36 [3,4,6,1,5,2,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>18 [3,4,6,1,5,7,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>36 [3,4,6,1,7,2,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>54 [3,4,6,1,7,5,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>54 [3,4,6,2,1,5,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>18 [3,4,6,2,1,7,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>36 [3,4,6,2,5,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>18 [3,4,6,2,5,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>36 [3,4,6,2,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>54 [3,4,6,2,7,5,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>54 [3,4,6,5,1,2,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>18 [3,4,6,5,1,7,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>36 [3,4,6,5,2,1,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>18 [3,4,6,5,2,7,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>36 [3,4,6,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>54 [3,4,6,5,7,2,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>54 [3,4,6,7,1,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>72 [3,4,6,7,1,5,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>72 [3,4,6,7,2,1,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>72 [3,4,6,7,2,5,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>72 [3,4,6,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>72 [3,4,6,7,5,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>72 [3,4,7,1,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,1,2,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,1,5,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,1,5,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,1,6,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,1,6,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,2,1,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,2,1,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,2,5,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,2,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,2,6,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,5,1,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,5,1,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,5,2,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,6,1,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,6,1,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,6,2,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,6,2,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,6,5,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,5,1,2,4,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>6 [3,5,1,2,4,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>6 [3,5,1,2,6,4,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>12 [3,5,1,2,6,7,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>24 [3,5,1,2,7,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,1,2,7,6,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,1,4,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>6 [3,5,1,4,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>6 [3,5,1,4,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>12 [3,5,1,4,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>24 [3,5,1,4,7,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,1,4,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,1,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>18 [3,5,1,6,2,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>36 [3,5,1,6,4,2,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>18 [3,5,1,6,4,7,2]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>36 [3,5,1,6,7,2,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>54 [3,5,1,6,7,4,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>54 [3,5,1,7,2,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,1,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,1,7,4,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,1,7,4,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,1,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,1,7,6,4,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,2,1,4,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>6 [3,5,2,1,4,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>6 [3,5,2,1,6,4,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>12 [3,5,2,1,6,7,4]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>24 [3,5,2,1,7,4,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,2,1,7,6,4]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,2,4,1,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>6 [3,5,2,4,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>6 [3,5,2,4,6,1,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>12 [3,5,2,4,6,7,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>24 [3,5,2,4,7,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,2,4,7,6,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,2,6,1,4,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>18 [3,5,2,6,1,7,4]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>36 [3,5,2,6,4,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>18 [3,5,2,6,4,7,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>36 [3,5,2,6,7,1,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>54 [3,5,2,6,7,4,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>54 [3,5,2,7,1,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,2,7,1,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,2,7,4,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,2,7,4,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,2,7,6,1,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,2,7,6,4,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,4,1,2,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>6 [3,5,4,1,2,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>6 [3,5,4,1,6,2,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>12 [3,5,4,1,6,7,2]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>24 [3,5,4,1,7,2,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,4,1,7,6,2]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,4,2,1,6,7]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>6 [3,5,4,2,1,7,6]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>6 [3,5,4,2,6,1,7]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>12 [3,5,4,2,6,7,1]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>24 [3,5,4,2,7,1,6]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,4,2,7,6,1]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>18 [3,5,4,6,1,2,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>18 [3,5,4,6,1,7,2]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>36 [3,5,4,6,2,1,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>18 [3,5,4,6,2,7,1]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>36 [3,5,4,6,7,1,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>54 [3,5,4,6,7,2,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>54 [3,5,4,7,1,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,4,7,1,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,4,7,2,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,4,7,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,4,7,6,1,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,4,7,6,2,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,5,6,1,2,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>24 [3,5,6,1,2,7,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>48 [3,5,6,1,4,2,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>24 [3,5,6,1,4,7,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>48 [3,5,6,1,7,2,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>72 [3,5,6,1,7,4,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>72 [3,5,6,2,1,4,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>24 [3,5,6,2,1,7,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>48 [3,5,6,2,4,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>24 [3,5,6,2,4,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>48 [3,5,6,2,7,1,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>72 [3,5,6,2,7,4,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>72 [3,5,6,4,1,2,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>24 [3,5,6,4,1,7,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>48 [3,5,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>24 [3,5,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>48 [3,5,6,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>72 [3,5,6,4,7,2,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>72 [3,5,6,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>96 [3,5,6,7,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>96 [3,5,6,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>96 [3,5,6,7,2,4,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>96 [3,5,6,7,4,1,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>96 [3,5,6,7,4,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>96 [3,5,7,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,1,2,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,1,4,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,1,6,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,1,6,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,2,1,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,2,1,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,2,4,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,4,1,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,4,2,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,4,6,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,6,1,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,6,2,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,6,4,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,5,7,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,6,1,2,4,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,1,2,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,1,2,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,1,2,5,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,1,2,7,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,1,2,7,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,1,4,2,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,1,4,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,1,4,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,1,5,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,1,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,1,5,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,1,7,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,1,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,1,7,4,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,1,7,4,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,1,7,5,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,2,1,4,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,2,1,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,2,1,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,2,1,5,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,2,1,7,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,2,1,7,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,2,4,1,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,2,4,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,2,4,5,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,2,4,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,2,4,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,2,4,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,2,5,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,2,5,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,2,5,4,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,2,5,4,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,2,5,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,2,5,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,2,7,1,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,2,7,1,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,2,7,4,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,2,7,4,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,2,7,5,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,2,7,5,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,4,1,2,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,4,1,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,4,1,5,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,4,1,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,4,2,1,5,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,4,2,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,4,2,5,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,4,2,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,4,2,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,4,2,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,4,5,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,4,5,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,4,5,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,4,5,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,4,7,1,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,4,7,1,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,4,7,2,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,4,7,5,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,4,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,5,1,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,5,1,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,5,1,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,5,1,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,5,1,7,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,5,1,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,5,2,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,5,2,4,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,5,2,4,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,5,2,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,5,2,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,5,4,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>10 [3,6,5,4,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,6,5,4,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,5,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,5,7,1,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,5,7,2,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,5,7,2,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,5,7,4,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,5,7,4,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,6,7,1,2,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,1,2,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,1,4,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,1,4,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,1,5,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,1,5,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,2,1,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,2,1,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,2,4,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,2,4,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,2,5,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,2,5,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,4,1,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,4,1,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,4,2,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,4,2,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,4,5,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,5,1,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,5,4,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,7,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,2,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,2,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,4,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,5,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,6,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,6,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,1,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,1,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,4,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,5,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,5,1,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,5,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,5,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,6,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,6,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,6,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,1,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,2,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,2,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,5,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,6,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,4,6,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,2,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,4,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,4,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,4,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,6,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,1,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,1,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,1,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,1,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,2,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,2,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,2,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,4,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,4,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,4,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,5,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,2,3,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1 [4,1,2,3,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1 [4,1,2,3,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1 [4,1,2,3,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [4,1,2,3,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,1,2,3,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,1,2,5,3,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [4,1,2,5,3,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2 [4,1,2,5,6,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4 [4,1,2,5,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>8 [4,1,2,5,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,1,2,5,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,1,2,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,1,2,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,1,2,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,1,2,6,5,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,1,2,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,1,2,6,7,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,1,2,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,2,7,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,2,7,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,2,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,2,7,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,2,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,3,2,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1 [4,1,3,2,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1 [4,1,3,2,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1 [4,1,3,2,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [4,1,3,2,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,1,3,2,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,1,3,5,2,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [4,1,3,5,2,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2 [4,1,3,5,6,2,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4 [4,1,3,5,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>8 [4,1,3,5,7,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,1,3,5,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,1,3,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,1,3,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,1,3,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,1,3,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,1,3,6,7,2,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,1,3,6,7,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,1,3,7,2,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,3,7,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,3,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,3,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,3,7,6,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,3,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,1,5,2,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [4,1,5,2,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3 [4,1,5,2,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>6 [4,1,5,2,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>12 [4,1,5,2,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,1,5,2,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,1,5,3,2,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [4,1,5,3,2,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3 [4,1,5,3,6,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>6 [4,1,5,3,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>12 [4,1,5,3,7,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,1,5,3,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,1,5,6,2,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>9 [4,1,5,6,2,7,3]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>18 [4,1,5,6,3,2,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>9 [4,1,5,6,3,7,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>18 [4,1,5,6,7,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>27 [4,1,5,6,7,3,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>27 [4,1,5,7,2,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,1,5,7,2,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,1,5,7,3,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,1,5,7,3,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,1,5,7,6,2,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,1,5,7,6,3,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,1,6,2,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,1,6,2,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,1,6,2,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,1,6,2,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,1,6,2,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,1,6,2,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,1,6,3,2,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,1,6,3,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,1,6,3,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,1,6,3,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,1,6,3,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,1,6,3,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,1,6,5,2,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,1,6,5,2,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,1,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,1,6,5,3,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,1,6,5,7,2,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,1,6,5,7,3,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,1,6,7,2,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,1,6,7,2,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,1,6,7,3,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,1,6,7,3,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,1,6,7,5,2,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,1,6,7,5,3,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,1,7,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,2,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,2,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,2,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,2,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,2,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,3,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,3,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,3,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,3,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,3,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,3,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,5,2,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,5,2,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,5,3,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,5,3,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,5,6,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,5,6,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,6,2,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,6,2,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,6,3,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,6,3,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,6,5,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,1,3,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1 [4,2,1,3,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1 [4,2,1,3,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1 [4,2,1,3,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [4,2,1,3,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,2,1,3,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,2,1,5,3,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [4,2,1,5,3,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2 [4,2,1,5,6,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4 [4,2,1,5,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>8 [4,2,1,5,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,2,1,5,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,2,1,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,2,1,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,2,1,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,2,1,6,5,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,2,1,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,2,1,6,7,5,3]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,2,1,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,1,7,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,1,7,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,1,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,1,7,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,1,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,3,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1 [4,2,3,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1 [4,2,3,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1 [4,2,3,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [4,2,3,1,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,2,3,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,2,3,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [4,2,3,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2 [4,2,3,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4 [4,2,3,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>8 [4,2,3,5,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,2,3,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,2,3,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,2,3,6,1,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,2,3,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,2,3,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,2,3,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,2,3,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,2,3,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,3,7,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,3,7,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,3,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,3,7,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,3,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,5,1,3,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [4,2,5,1,3,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3 [4,2,5,1,6,3,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>6 [4,2,5,1,6,7,3]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>12 [4,2,5,1,7,3,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,2,5,1,7,6,3]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,2,5,3,1,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [4,2,5,3,1,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3 [4,2,5,3,6,1,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>6 [4,2,5,3,6,7,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>12 [4,2,5,3,7,1,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,2,5,3,7,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,2,5,6,1,3,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>9 [4,2,5,6,1,7,3]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>18 [4,2,5,6,3,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>9 [4,2,5,6,3,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>18 [4,2,5,6,7,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>27 [4,2,5,6,7,3,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>27 [4,2,5,7,1,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,2,5,7,1,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,2,5,7,3,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,2,5,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,2,5,7,6,1,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,2,5,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,2,6,1,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,2,6,1,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,2,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,2,6,1,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,2,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,2,6,1,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,2,6,3,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,2,6,3,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,2,6,3,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,2,6,3,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,2,6,3,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,2,6,3,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,2,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,2,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,2,6,5,3,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,2,6,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,2,6,5,7,1,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,2,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,2,6,7,1,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,2,6,7,1,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,2,6,7,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,2,6,7,3,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,2,6,7,5,1,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,2,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,2,7,1,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,1,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,1,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,1,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,1,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,3,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,3,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,3,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,3,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,3,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,3,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,5,1,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,5,1,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,5,3,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,5,3,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,5,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,5,6,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,6,1,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,6,1,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,6,3,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,6,3,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,1,2,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1 [4,3,1,2,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1 [4,3,1,2,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1 [4,3,1,2,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [4,3,1,2,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,3,1,2,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,3,1,5,2,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [4,3,1,5,2,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2 [4,3,1,5,6,2,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4 [4,3,1,5,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>8 [4,3,1,5,7,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,3,1,5,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,3,1,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,3,1,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,3,1,6,5,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,3,1,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,3,1,6,7,2,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,3,1,6,7,5,2]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,3,1,7,2,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,1,7,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,1,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,1,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,1,7,6,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,1,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,2,1,5,6,7]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1 [4,3,2,1,5,7,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1 [4,3,2,1,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>1 [4,3,2,1,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [4,3,2,1,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,3,2,1,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [4,3,2,5,1,6,7]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [4,3,2,5,1,7,6]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2 [4,3,2,5,6,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4 [4,3,2,5,6,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>8 [4,3,2,5,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,3,2,5,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>6 [4,3,2,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,3,2,6,1,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,3,2,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [4,3,2,6,5,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [4,3,2,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,3,2,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>9 [4,3,2,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,2,7,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,2,7,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,2,7,5,6,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,2,7,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,2,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,5,1,2,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [4,3,5,1,2,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3 [4,3,5,1,6,2,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>6 [4,3,5,1,6,7,2]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>12 [4,3,5,1,7,2,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,3,5,1,7,6,2]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,3,5,2,1,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [4,3,5,2,1,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3 [4,3,5,2,6,1,7]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>6 [4,3,5,2,6,7,1]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>12 [4,3,5,2,7,1,6]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,3,5,2,7,6,1]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>9 [4,3,5,6,1,2,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>9 [4,3,5,6,1,7,2]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>18 [4,3,5,6,2,1,7]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>9 [4,3,5,6,2,7,1]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>18 [4,3,5,6,7,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>27 [4,3,5,6,7,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>27 [4,3,5,7,1,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,3,5,7,1,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,3,5,7,2,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,3,5,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,3,5,7,6,1,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,3,5,7,6,2,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>18 [4,3,6,1,2,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,3,6,1,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,3,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,3,6,1,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,3,6,1,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,3,6,1,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,3,6,2,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,3,6,2,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,3,6,2,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,3,6,2,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,3,6,2,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,3,6,2,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,3,6,5,1,2,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,3,6,5,1,7,2]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,3,6,5,2,1,7]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>6 [4,3,6,5,2,7,1]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>12 [4,3,6,5,7,1,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,3,6,5,7,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>18 [4,3,6,7,1,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,3,6,7,1,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,3,6,7,2,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,3,6,7,2,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,3,6,7,5,1,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,3,6,7,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>24 [4,3,7,1,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,1,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,1,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,1,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,2,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,2,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,2,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,5,1,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,5,2,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,5,2,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,6,1,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,6,1,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,6,2,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,6,2,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>10 [4,5,1,2,3,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [4,5,1,2,3,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [4,5,1,2,6,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>8 [4,5,1,2,6,7,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>16 [4,5,1,2,7,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,1,2,7,6,3]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,1,3,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [4,5,1,3,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [4,5,1,3,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>8 [4,5,1,3,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>16 [4,5,1,3,7,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,1,3,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,1,6,2,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>12 [4,5,1,6,2,7,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>24 [4,5,1,6,3,2,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>12 [4,5,1,6,3,7,2]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>24 [4,5,1,6,7,2,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>36 [4,5,1,6,7,3,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>36 [4,5,1,7,2,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,1,7,2,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,1,7,3,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,1,7,3,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,1,7,6,2,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,1,7,6,3,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,2,1,3,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [4,5,2,1,3,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [4,5,2,1,6,3,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>8 [4,5,2,1,6,7,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>16 [4,5,2,1,7,3,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,2,1,7,6,3]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,2,3,1,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [4,5,2,3,1,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [4,5,2,3,6,1,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>8 [4,5,2,3,6,7,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>16 [4,5,2,3,7,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,2,3,7,6,1]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,2,6,1,3,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>12 [4,5,2,6,1,7,3]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>24 [4,5,2,6,3,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>12 [4,5,2,6,3,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>24 [4,5,2,6,7,1,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>36 [4,5,2,6,7,3,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>36 [4,5,2,7,1,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,2,7,1,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,2,7,3,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,2,7,3,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,2,7,6,1,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,2,7,6,3,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,3,1,2,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [4,5,3,1,2,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [4,5,3,1,6,2,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>8 [4,5,3,1,6,7,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>16 [4,5,3,1,7,2,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,3,1,7,6,2]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,3,2,1,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [4,5,3,2,1,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [4,5,3,2,6,1,7]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>8 [4,5,3,2,6,7,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>16 [4,5,3,2,7,1,6]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,3,2,7,6,1]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>12 [4,5,3,6,1,2,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>12 [4,5,3,6,1,7,2]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>24 [4,5,3,6,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>12 [4,5,3,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>24 [4,5,3,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>36 [4,5,3,6,7,2,1]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>36 [4,5,3,7,1,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,3,7,1,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,3,7,2,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,3,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,3,7,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,3,7,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,6,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>16 [4,5,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>32 [4,5,6,1,3,2,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>16 [4,5,6,1,3,7,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>32 [4,5,6,1,7,2,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>48 [4,5,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>48 [4,5,6,2,1,3,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>16 [4,5,6,2,1,7,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>32 [4,5,6,2,3,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>16 [4,5,6,2,3,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>32 [4,5,6,2,7,1,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>48 [4,5,6,2,7,3,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>48 [4,5,6,3,1,2,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>16 [4,5,6,3,1,7,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>32 [4,5,6,3,2,1,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>16 [4,5,6,3,2,7,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>32 [4,5,6,3,7,1,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>48 [4,5,6,3,7,2,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>48 [4,5,6,7,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,6,7,1,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,6,7,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,6,7,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,6,7,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,7,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,1,3,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,1,3,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,1,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,2,1,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,2,1,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,2,3,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,2,3,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,3,1,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,3,2,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,3,6,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,6,1,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,6,2,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,6,3,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,7,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>40 [4,6,1,2,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,1,2,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,1,2,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,1,2,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,1,2,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,1,2,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,1,3,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,1,3,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,1,3,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,1,3,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,1,3,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,1,3,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,1,5,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,1,5,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,1,5,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,1,7,2,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,1,7,3,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,1,7,5,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,1,7,5,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,2,1,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,2,1,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,2,1,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,2,1,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,2,1,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,2,1,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,2,3,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,2,3,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,2,3,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,2,3,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,2,3,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,2,3,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,2,5,1,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,2,5,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,2,5,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,2,5,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,2,5,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,2,5,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,2,7,1,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,2,7,1,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,2,7,3,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,2,7,3,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,2,7,5,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,2,7,5,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,3,1,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,3,1,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,3,1,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,3,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,3,1,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,3,2,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,3,2,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,3,2,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,3,2,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,3,2,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,3,2,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,3,5,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,3,5,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,3,5,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,3,7,1,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,3,7,1,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,3,7,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,3,7,2,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,3,7,5,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,5,1,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,5,1,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,5,1,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,5,2,1,3,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,5,2,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,5,2,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,5,2,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,5,2,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,5,2,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,5,3,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,5,3,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,5,3,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>10 [4,6,5,3,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,5,3,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,5,3,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,5,7,1,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,5,7,1,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,5,7,2,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,5,7,2,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,5,7,3,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>40 [4,6,7,1,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,1,2,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,1,3,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,1,3,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,1,5,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,2,1,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,2,1,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,2,3,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,2,3,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,2,5,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,2,5,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,3,1,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,3,1,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,3,2,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,3,2,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,3,5,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,3,5,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,5,1,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,5,2,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,5,3,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,5,3,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>50 [4,7,1,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,2,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,2,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,2,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,2,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,3,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,3,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,3,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,3,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,3,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,3,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,5,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,5,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,5,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,5,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,6,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,6,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,6,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,6,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,1,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,1,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,1,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,1,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,1,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,1,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,3,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,3,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,3,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,3,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,3,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,3,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,5,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,5,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,5,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,5,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,5,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,5,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,6,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,6,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,6,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,6,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,2,6,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,1,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,1,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,2,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,2,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,5,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,5,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,6,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,6,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,6,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,3,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,1,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,1,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,1,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,1,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,2,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,2,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,2,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,2,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,2,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,2,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,3,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,3,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,3,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,3,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,3,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,3,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,6,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,6,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,6,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,6,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,1,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,1,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,1,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,1,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,2,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,2,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,2,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,2,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,2,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,2,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,3,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,3,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,3,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,3,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,5,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,5,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,5,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,2,3,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,1,2,3,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,1,2,3,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,1,2,3,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,1,2,3,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,2,3,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,2,4,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,1,2,4,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,1,2,4,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,1,2,4,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,1,2,4,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,2,4,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,2,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,1,2,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,1,2,6,4,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,1,2,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,1,2,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,1,2,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,1,2,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,2,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,2,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,2,7,4,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,2,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,2,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,3,2,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,1,3,2,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,1,3,2,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,1,3,2,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,1,3,2,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,3,2,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,3,4,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,1,3,4,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,1,3,4,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,1,3,4,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,1,3,4,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,3,4,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,3,6,2,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,1,3,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,1,3,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,1,3,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,1,3,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,1,3,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,1,3,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,3,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,3,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,3,7,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,3,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,3,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,4,2,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,1,4,2,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,1,4,2,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,1,4,2,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,1,4,2,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,4,2,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,4,3,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,1,4,3,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,1,4,3,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,1,4,3,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,1,4,3,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,4,3,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,1,4,6,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,1,4,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,1,4,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,1,4,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,1,4,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,1,4,6,7,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,1,4,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,4,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,4,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,4,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,4,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,4,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,1,6,2,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,1,6,2,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,1,6,2,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,1,6,2,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,1,6,2,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,1,6,2,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,1,6,3,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,1,6,3,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,1,6,3,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,1,6,3,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,1,6,3,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,1,6,3,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,1,6,4,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,1,6,4,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,1,6,4,3,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,1,6,4,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,1,6,4,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,1,6,4,7,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,1,6,7,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,1,6,7,2,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,1,6,7,3,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,1,6,7,3,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,1,6,7,4,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,1,6,7,4,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,1,7,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,2,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,2,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,2,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,2,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,3,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,3,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,3,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,3,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,4,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,4,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,4,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,4,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,6,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,6,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,1,3,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,2,1,3,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,2,1,3,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,2,1,3,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,2,1,3,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,1,3,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,1,4,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,2,1,4,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,2,1,4,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,2,1,4,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,2,1,4,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,1,4,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,1,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,2,1,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,2,1,6,4,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,2,1,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,2,1,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,2,1,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,2,1,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,1,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,1,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,1,7,4,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,1,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,1,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,3,1,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,2,3,1,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,2,3,1,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,2,3,1,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,2,3,1,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,3,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,3,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,2,3,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,2,3,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,2,3,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,2,3,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,3,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,3,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,2,3,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,2,3,6,4,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,2,3,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,2,3,6,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,2,3,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,2,3,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,3,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,3,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,3,7,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,3,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,3,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,4,1,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,2,4,1,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,2,4,1,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,2,4,1,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,2,4,1,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,4,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,4,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,2,4,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,2,4,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,2,4,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,2,4,3,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,4,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,2,4,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,2,4,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,2,4,6,3,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,2,4,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,2,4,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,2,4,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,2,4,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,4,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,4,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,4,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,4,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,4,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,2,6,1,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,2,6,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,2,6,1,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,2,6,1,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,2,6,1,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,2,6,1,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,2,6,3,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,2,6,3,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,2,6,3,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,2,6,3,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,2,6,3,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,2,6,3,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,2,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,2,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,2,6,4,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,2,6,4,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,2,6,4,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,2,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,2,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,2,6,7,1,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,2,6,7,3,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,2,6,7,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,2,6,7,4,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,2,6,7,4,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,2,7,1,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,1,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,3,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,3,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,3,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,3,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,3,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,4,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,4,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,4,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,4,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,6,1,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,6,3,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,6,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,1,2,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,3,1,2,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,3,1,2,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,3,1,2,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,3,1,2,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,1,2,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,1,4,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,3,1,4,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,3,1,4,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,3,1,4,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,3,1,4,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,1,4,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,1,6,2,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,3,1,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,3,1,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,3,1,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,3,1,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,3,1,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,3,1,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,1,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,1,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,1,7,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,1,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,1,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,2,1,4,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,3,2,1,4,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,3,2,1,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,3,2,1,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,3,2,1,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,2,1,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,2,4,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,3,2,4,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,3,2,4,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,3,2,4,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,3,2,4,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,2,4,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,2,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,3,2,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,3,2,6,4,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,3,2,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,3,2,6,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,3,2,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,3,2,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,2,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,2,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,2,7,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,2,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,2,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,4,1,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,3,4,1,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,3,4,1,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,3,4,1,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,3,4,1,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,4,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,4,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,3,4,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,3,4,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,3,4,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,3,4,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,4,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,3,4,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,3,4,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,3,4,6,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,3,4,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,3,4,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,3,4,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,3,4,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,4,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,4,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,4,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,4,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,4,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,3,6,1,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,3,6,1,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,3,6,1,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,3,6,1,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,3,6,1,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,3,6,1,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,3,6,2,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,3,6,2,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,3,6,2,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,3,6,2,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,3,6,2,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,3,6,2,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,3,6,4,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,3,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,3,6,4,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,3,6,4,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,3,6,4,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,3,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,3,6,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,3,6,7,1,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,3,6,7,2,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,3,6,7,2,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,3,6,7,4,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,3,6,7,4,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,3,7,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,1,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,1,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,2,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,6,2,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,6,4,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,3,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,1,2,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,4,1,2,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,4,1,2,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,4,1,2,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,4,1,2,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,1,2,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,1,3,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,4,1,3,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,4,1,3,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,4,1,3,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,4,1,3,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,1,3,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,1,6,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,4,1,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,4,1,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,4,1,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,4,1,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,4,1,6,7,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,4,1,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,1,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,1,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,1,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,1,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,1,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,2,1,3,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,4,2,1,3,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,4,2,1,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,4,2,1,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,4,2,1,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,2,1,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,2,3,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,4,2,3,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,4,2,3,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,4,2,3,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,4,2,3,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,2,3,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,2,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,4,2,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,4,2,6,3,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,4,2,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,4,2,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,4,2,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,4,2,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,2,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,2,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,2,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,2,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,2,7,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,3,1,2,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,4,3,1,2,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,4,3,1,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,4,3,1,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,4,3,1,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,3,1,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,3,2,1,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,4,3,2,1,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,4,3,2,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [5,4,3,2,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,4,3,2,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,3,2,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [5,4,3,6,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,4,3,6,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,4,3,6,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [5,4,3,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>6 [5,4,3,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,4,3,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,4,3,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,3,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,3,7,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,3,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,3,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,3,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [5,4,6,1,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,4,6,1,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,4,6,1,3,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,4,6,1,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,4,6,1,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,4,6,1,7,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,4,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,4,6,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,4,6,2,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,4,6,2,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,4,6,2,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,4,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,4,6,3,1,2,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,4,6,3,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,4,6,3,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [5,4,6,3,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [5,4,6,3,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,4,6,3,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>12 [5,4,6,7,1,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,4,6,7,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,4,6,7,2,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,4,6,7,2,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,4,6,7,3,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,4,6,7,3,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,4,7,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,1,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,1,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,1,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,2,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,2,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,2,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,3,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,3,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,6,2,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,6,2,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,6,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>10 [5,6,1,2,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,1,2,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,1,2,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,1,2,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,1,2,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,1,2,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,1,3,2,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,1,3,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,1,3,4,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,1,3,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,1,3,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,1,3,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,1,4,2,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,1,4,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,1,4,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,1,4,3,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,1,4,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,1,4,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,1,7,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,1,7,2,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,1,7,3,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,1,7,3,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,1,7,4,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,1,7,4,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,2,1,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,2,1,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,2,1,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,2,1,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,2,1,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,2,1,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,2,3,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,2,3,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,2,3,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,2,3,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,2,3,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,2,3,7,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,2,4,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,2,4,1,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,2,4,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,2,4,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,2,4,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,2,4,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,2,7,1,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,2,7,1,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,2,7,3,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,2,7,3,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,2,7,4,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,2,7,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,3,1,2,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,3,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,3,1,4,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,3,1,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,3,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,3,1,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,3,2,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,3,2,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,3,2,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,3,2,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,3,2,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,3,2,7,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,3,4,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,3,4,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,3,4,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,3,7,1,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,3,7,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,3,7,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,3,7,4,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,3,7,4,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,4,1,2,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,4,1,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,4,1,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,4,1,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,4,2,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,4,2,1,7,3]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,4,2,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,4,2,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,4,2,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,4,2,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,4,3,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [5,6,4,3,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>10 [5,6,4,3,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>15 [5,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,4,7,1,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,4,7,2,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,4,7,2,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,4,7,3,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,4,7,3,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,6,7,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,1,3,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,1,4,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,2,1,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,2,1,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,2,3,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,2,4,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,2,4,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,3,1,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,3,2,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,3,2,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,3,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,4,1,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,4,2,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,4,2,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,4,3,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [5,7,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,2,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,3,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,3,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,4,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,4,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,4,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,4,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,4,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,6,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,6,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,6,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,6,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,3,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,3,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,3,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,3,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,3,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,4,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,4,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,4,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,6,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,6,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,6,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,6,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,4,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,6,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,6,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,6,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,3,6,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,2,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,2,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,2,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,2,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,3,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,6,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,6,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,6,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,2,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,2,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,2,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,2,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,2,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,2,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,2,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,2,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,2,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,2,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,2,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,2,4,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,2,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,2,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,2,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,2,5,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,2,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,2,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,2,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,2,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,2,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,2,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,2,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,2,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,2,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,3,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,3,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,3,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,3,2,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,3,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,3,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,3,4,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,3,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,3,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,3,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,3,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,3,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,3,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,3,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,3,5,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,3,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,3,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,3,5,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,3,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,3,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,3,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,3,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,3,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,3,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,4,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,4,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,4,2,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,4,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,4,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,4,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,4,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,4,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,4,3,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,4,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,4,3,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,4,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,4,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,4,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,4,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,4,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,4,5,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,4,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,4,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,4,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,4,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,4,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,4,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,4,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,5,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,5,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,5,2,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,5,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,5,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,5,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,5,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,5,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,5,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,5,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,5,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,5,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,5,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,5,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,5,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,5,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,1,5,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,5,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,1,5,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,5,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,5,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,5,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,5,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,5,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,7,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,2,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,2,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,2,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,3,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,3,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,3,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,3,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,3,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,3,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,4,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,5,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,5,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,1,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,1,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,1,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,1,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,1,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,1,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,1,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,1,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,1,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,1,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,1,4,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,1,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,1,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,1,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,1,5,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,1,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,1,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,1,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,1,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,1,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,1,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,1,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,1,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,3,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,3,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,3,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,3,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,3,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,3,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,3,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,3,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,3,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,3,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,3,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,3,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,3,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,3,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,3,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,3,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,3,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,3,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,3,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,4,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,4,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,4,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,4,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,4,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,4,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,4,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,4,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,4,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,4,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,4,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,4,5,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,4,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,4,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,4,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,4,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,5,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,5,1,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,5,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,5,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,5,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,5,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,5,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,5,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,5,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,5,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,5,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,5,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,5,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,5,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,5,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,2,5,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,5,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,5,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,5,7,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,5,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,7,1,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,1,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,1,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,3,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,3,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,3,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,3,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,3,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,4,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,4,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,4,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,5,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,5,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,1,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,1,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,1,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,1,2,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,1,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,1,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,1,4,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,1,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,1,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,1,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,1,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,1,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,1,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,1,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,1,5,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,1,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,1,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,1,5,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,1,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,1,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,1,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,1,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,1,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,2,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,2,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,2,1,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,2,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,2,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,2,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,2,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,2,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,2,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,2,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,2,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,2,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,2,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,2,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,2,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,4,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,4,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,4,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,4,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,4,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,4,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,4,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,4,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,4,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,4,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,4,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,4,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,4,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,4,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,4,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,5,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,5,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,5,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,5,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,5,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,5,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,5,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,5,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,5,2,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,5,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,5,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,5,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,5,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,5,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,5,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,5,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,3,5,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,5,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,5,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,5,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,5,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,3,7,1,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,1,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,1,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,1,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,1,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,2,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,1,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,1,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,1,2,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,1,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,1,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,1,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,1,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,1,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,1,3,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,1,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,1,3,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,1,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,1,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,1,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,1,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,1,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,1,5,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,1,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,1,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,1,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,1,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,1,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,1,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,2,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,2,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,2,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,2,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,2,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,2,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,2,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,2,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,2,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,2,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,2,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,2,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,2,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,2,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,2,5,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,2,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,2,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,2,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,2,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,3,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,3,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,3,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,3,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,3,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,3,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,3,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,3,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,3,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,3,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,3,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,3,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,3,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,5,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,5,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,5,1,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,5,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,5,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,5,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,5,2,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,5,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,5,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,5,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,5,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,5,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,4,5,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,4,5,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,5,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,4,5,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,5,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,5,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,5,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,5,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,7,1,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,1,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,1,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,1,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,2,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,3,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,5,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,4,7,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,1,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,1,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,1,2,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,1,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,1,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,1,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,1,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,1,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,1,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,1,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,1,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,1,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,1,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,1,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,1,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,1,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,1,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,1,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,1,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,1,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,1,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,1,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,1,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,2,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,2,1,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,2,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,2,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,2,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,2,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,2,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,2,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,2,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,2,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,2,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,2,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,2,4,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,2,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,2,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,2,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,2,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,2,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,2,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,2,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,2,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,2,7,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,3,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,3,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,3,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,3,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,3,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,3,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,3,2,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,3,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,3,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,3,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,3,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,3,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,3,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,3,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,3,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,3,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,3,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,4,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,4,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,4,1,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,4,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,4,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,4,2,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,4,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,4,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,4,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,4,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [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]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [6,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [6,5,4,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,4,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,4,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,4,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,7,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,1,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,2,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,3,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,4,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,7,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,2,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,3,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,3,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,4,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,4,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,5,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,5,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,1,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,1,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,3,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,3,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,4,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,4,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,4,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,4,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,5,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,5,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,5,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,5,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,1,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,1,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,1,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,2,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,4,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,5,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,1,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,1,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,5,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,1,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,2,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,3,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,4,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,3,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,4,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,5,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,5,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,1,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,4,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,6,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,3,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,5,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,1,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,2,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,4,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,4,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,6,8,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,7,8,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,4,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,5,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,6,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,6,7,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,5,4,8,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,5,6,4,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,7,4,8,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,6,7,4,8,3,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [7,6,4,5,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,4,5,8,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,5,4,6,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,5,6,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,4,7,8,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,6,4,7,8,3,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [6,4,5,7,8,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,4,6,7,8,3,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,6,7,8,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [8,7,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,5,6,7,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,3,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,5,7,8,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,3,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,4,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,4,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,4,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,3,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,3,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,5,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,3,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,4,3,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,6,3,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,3,5,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,4,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,7,5,4,3,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [7,5,6,4,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,6,7,4,3,8,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [7,6,4,5,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,7,4,5,3,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [7,5,4,6,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,4,5,6,3,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,5,4,7,3,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,4,5,7,3,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,4,6,7,3,8,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [4,5,6,7,3,8,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>192 [7,6,5,3,4,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,4,3,5,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,3,4,5,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,4,3,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,3,4,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,4,5,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,5,4,3,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,5,3,4,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,3,4,5,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,4,3,6,7,8,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [5,3,4,6,7,8,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [4,3,5,6,7,8,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>81 [3,4,5,6,7,8,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>243 [8,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,5,6,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,7,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,4,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,6,8,4,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,6,7,8,4,2,3,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,4,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,4,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,4,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,5,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,6,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,6,4,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,7,4,8,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,6,4,5,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,4,5,8,2,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [4,5,6,7,8,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [8,7,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,5,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,6,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,7,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,3,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,6,7,8,3,2,4,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,5,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,5,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,5,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,2,3,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,2,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,5,7,8,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,2,3,4,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,4,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,4,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,4,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,3,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,3,4,2,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,3,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,3,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,3,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [7,6,8,4,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,3,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,3,2,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,3,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,8,3,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,2,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,2,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,4,2,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,3,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,4,2,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,2,3,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,2,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,4,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,4,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,5,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,6,3,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,3,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,3,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,3,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,4,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,3,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,5,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,6,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,2,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,4,2,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,3,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,3,2,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,2,3,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,3,4,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,3,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,4,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,2,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,2,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,3,4,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,2,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,3,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,5,4,3,2,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,5,6,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,7,4,3,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [7,6,4,5,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,4,5,3,2,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,4,5,6,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,4,5,7,3,2,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [4,5,6,7,3,2,8,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>128 [7,6,5,3,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,6,3,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,7,3,4,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [7,6,4,3,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,3,4,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,4,3,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,5,3,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,3,4,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,4,5,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,4,3,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,4,5,3,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,5,3,4,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [5,6,3,4,7,2,8,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [6,4,3,5,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,3,4,5,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [3,4,5,6,7,2,8,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>162 [7,6,5,4,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,5,4,2,3,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,5,6,4,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,7,4,2,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,6,7,4,2,3,8,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [7,6,4,5,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,4,5,2,3,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,5,4,6,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,5,6,2,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,4,7,2,3,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [5,6,4,7,2,3,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [6,4,5,7,2,3,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [4,5,6,7,2,3,8,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>128 [7,6,5,3,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,5,3,2,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,5,7,3,2,4,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [7,6,5,2,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,6,2,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,6,7,2,3,4,8,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [6,7,4,3,2,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,6,4,2,3,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,3,2,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,3,2,4,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,6,2,3,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,2,3,4,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,5,4,3,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,3,5,2,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,4,2,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,5,2,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,3,2,4,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,2,3,4,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,3,2,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,2,3,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,2,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,3,4,5,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,4,3,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [4,5,6,3,2,7,8,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>64 [6,5,3,4,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,3,4,5,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,5,4,2,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,4,5,2,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [4,5,6,2,3,7,8,1]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>64 [6,5,3,2,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,5,2,3,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,2,3,4,5,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,4,3,2,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [4,5,3,2,6,7,8,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>32 [5,3,4,2,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [3,4,5,2,6,7,8,1]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>72 [5,4,2,3,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [4,5,2,3,6,7,8,1]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>32 [5,3,2,4,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [5,2,3,4,6,7,8,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [4,3,2,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>16 [3,4,2,5,6,7,8,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>48 [4,2,3,5,6,7,8,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>16 [3,2,4,5,6,7,8,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>32 [2,3,4,5,6,7,8,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>64 [8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,4,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,7,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,4,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,6,8,4,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,7,8,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,4,3,1,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,4,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,4,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,8,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,4,6,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,5,6,4,7,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,5,7,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,6,7,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,8,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,6,4,8,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,7,4,8,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,6,4,5,8,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,4,5,8,3,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,5,4,7,8,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,6,4,7,8,3,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [5,4,6,7,8,3,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,6,7,8,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [8,7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,8,5,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,5,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,3,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,6,8,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,7,8,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [6,7,8,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,3,4,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,3,4,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,8,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [7,8,5,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,4,3,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,6,3,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,4,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,6,4,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,5,7,4,3,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,6,7,4,3,8,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [6,7,4,5,3,8,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [7,5,4,6,3,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,5,4,7,3,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,6,4,7,3,8,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [6,4,5,7,3,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,4,6,7,3,8,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [4,5,6,7,3,8,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>192 [7,6,5,3,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,6,3,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,4,3,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,3,4,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,4,3,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,4,5,3,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,3,4,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,4,5,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,5,4,3,7,8,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,6,4,3,7,8,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [5,4,6,3,7,8,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [4,5,6,3,7,8,1,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>144 [5,6,3,4,7,8,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [6,4,3,5,7,8,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,3,4,5,7,8,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,4,3,6,7,8,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [4,5,3,6,7,8,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>108 [5,3,4,6,7,8,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [4,3,5,6,7,8,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>81 [3,4,5,6,7,8,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>243 [8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,5,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,5,8,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,4,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,6,8,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,7,8,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,4,2,1,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,4,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,4,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,4,5,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,6,7,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,5,4,8,2,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,5,6,4,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,7,4,8,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,6,7,4,8,2,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [7,6,4,5,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,4,6,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,5,6,8,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,4,6,7,8,2,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,6,7,8,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,8,5,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [7,8,5,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,7,4,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,4,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,4,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,6,8,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,7,8,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,8,4,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,4,6,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,4,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,4,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,4,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,5,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,6,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,6,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,5,4,8,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,5,6,4,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,7,4,8,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,6,7,4,8,1,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [7,6,4,5,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,4,5,8,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,5,4,6,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,5,6,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,4,7,8,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,6,4,7,8,1,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [6,4,5,7,8,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,4,6,7,8,1,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,6,7,8,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,7,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,3,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,6,8,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,7,8,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,3,2,1,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,5,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,7,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,2,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,6,8,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,7,8,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,5,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,5,6,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,7,3,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,3,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,6,8,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,7,8,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,3,1,2,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,8,5,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,5,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,7,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,2,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,6,8,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,2,1,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,8,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,5,8,1,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,6,8,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,7,8,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,8,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,4,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,7,8,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,4,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,4,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,4,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,3,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,3,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,8,3,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,2,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,2,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,2,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,4,3,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,8,4,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,3,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,3,4,1,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,3,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,8,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,4,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,8,4,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,8,4,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,4,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,3,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,3,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,3,2,1,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,2,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,2,3,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,2,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,2,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,3,1,2,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,3,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,3,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,3,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,2,1,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,2,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,8,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,7,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,8,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,3,4,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,3,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,3,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,2,3,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,4,2,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,4,3,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,4,2,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,4,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,4,1,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,5,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,5,1,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,3,2,1,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,2,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,3,1,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,2,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,1,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,1,2,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,5,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,6,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,6,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,3,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,3,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,3,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,5,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,6,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,4,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,6,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,3,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,2,3,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,2,3,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,2,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,2,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,2,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,5,2,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,2,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,2,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,4,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,3,4,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,2,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,3,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,5,3,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,3,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,3,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,4,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,3,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,4,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,5,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,4,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,6,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,4,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,5,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,6,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,3,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,3,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,2,3,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,2,3,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,3,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,2,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,2,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,1,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,1,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,3,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,4,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,2,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,2,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,3,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,3,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,4,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,2,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,2,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,5,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,2,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,3,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,3,5,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,5,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,4,1,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,1,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,2,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,1,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,1,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,1,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,1,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,2,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,2,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,2,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,3,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,1,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,1,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,1,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,1,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,1,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,2,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,5,4,3,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,6,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,7,4,3,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,6,7,4,3,2,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [7,6,4,5,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,4,5,3,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,4,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,6,3,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,4,7,3,2,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [7,6,5,3,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,5,3,4,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,6,3,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,7,3,4,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,6,7,3,4,2,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [7,6,4,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,4,3,5,2,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,3,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,4,3,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,3,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,4,5,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,4,3,7,2,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [3,4,5,6,7,2,1,8]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>81 [7,6,5,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,5,4,2,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,6,4,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,6,7,4,2,3,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [7,6,4,5,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,4,5,2,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,4,6,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,6,2,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,4,7,2,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [7,6,5,3,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,7,3,2,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,6,7,3,2,4,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [7,6,5,2,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,5,2,3,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,6,2,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,7,2,3,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,6,7,2,3,4,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [7,6,4,3,2,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,4,3,2,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,7,3,4,2,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,4,2,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,4,2,3,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,3,2,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,3,2,4,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,2,3,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,2,3,4,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,4,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,3,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,3,5,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,2,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,2,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,2,3,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,3,4,5,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,4,3,2,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,3,4,5,2,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [4,5,3,6,2,7,1,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>24 [6,5,3,2,4,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,4,2,3,5,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,3,2,4,5,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,2,3,4,5,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [5,4,3,2,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>4 [5,4,2,3,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>4 [5,2,3,4,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>4 [4,3,2,5,6,7,1,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>8 [3,4,2,5,6,7,1,8]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>24 [4,2,3,5,6,7,1,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>8 [3,2,4,5,6,7,1,8]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>16 [2,3,4,5,6,7,1,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>32 [7,6,5,4,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,5,4,3,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,6,4,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,4,5,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,6,3,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,5,3,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,6,3,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,7,3,4,1,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,3,4,6,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,4,3,7,1,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,4,5,3,7,1,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,4,3,5,7,1,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,3,4,5,7,1,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [3,4,5,6,7,1,2,8]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>81 [7,6,5,4,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,7,4,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,6,4,5,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,4,6,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,6,2,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,5,4,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,6,4,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,6,7,4,1,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [7,6,4,5,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,4,6,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,6,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,5,3,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,5,2,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,5,2,3,1,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,6,2,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,7,2,3,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,6,7,2,3,1,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [7,5,6,3,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,6,7,3,1,2,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [7,6,5,2,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,5,2,1,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,6,2,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,6,7,2,1,3,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [7,6,5,1,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,5,1,2,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,6,1,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,7,1,2,3,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,6,7,1,2,3,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [7,6,4,3,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,4,3,2,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,3,4,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,3,4,2,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,4,2,3,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,4,2,3,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,3,2,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,3,2,4,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,2,3,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,2,3,4,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,4,3,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,3,4,1,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,4,2,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,3,2,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,3,2,1,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,2,3,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,2,3,1,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,7,3,1,2,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,1,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,1,2,3,4,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,5,4,3,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,3,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,3,5,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,4,5,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,4,2,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,2,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,2,3,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,2,3,5,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,3,4,5,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,4,3,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,4,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,2,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,1,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,2,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,2,3,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,1,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,1,2,3,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,3,2,1,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,3,4,1,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,3,1,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,4,1,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,1,2,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,2,1,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,3,1,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,1,2,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,1,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,5,3,4,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,3,4,5,2,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [5,4,3,6,2,1,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [3,4,5,6,2,1,7,8]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>27 [6,5,2,3,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,4,3,2,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,2,3,4,5,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [5,4,3,2,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [3,4,5,2,6,1,7,8]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>18 [5,3,2,4,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [5,2,3,4,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [4,3,2,5,6,1,7,8]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>4 [4,2,3,5,6,1,7,8]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>4 [3,2,4,5,6,1,7,8]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>8 [2,3,4,5,6,1,7,8]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>16 [6,5,4,3,1,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,4,5,3,1,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,4,3,5,1,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [5,4,3,6,1,2,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [3,4,5,6,1,2,7,8]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>27 [6,5,4,2,1,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,4,5,2,1,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,5,4,1,2,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,5,3,2,1,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,5,1,2,3,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,4,3,2,1,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,3,4,2,1,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,4,3,1,2,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,4,2,1,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,4,1,2,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,3,2,1,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,2,3,1,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,3,1,2,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,2,1,3,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,1,2,3,4,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [5,4,3,2,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,3,4,2,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [4,3,5,2,1,6,7,8]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>3 [3,4,5,2,1,6,7,8]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>9 [5,4,2,3,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,3,2,4,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,2,3,4,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [4,3,2,5,1,6,7,8]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>2 [4,2,3,5,1,6,7,8]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>2 [3,2,4,5,1,6,7,8]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>4 [2,3,4,5,1,6,7,8]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>8 [5,4,3,1,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,3,4,1,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [4,3,5,1,2,6,7,8]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>3 [3,4,5,1,2,6,7,8]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>9 [5,4,2,1,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,4,1,2,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,3,2,1,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,2,3,1,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,3,1,2,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,2,1,3,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,1,2,3,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [4,3,2,1,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [3,4,2,1,5,6,7,8]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [4,2,3,1,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [3,2,4,1,5,6,7,8]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,3,4,1,5,6,7,8]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>4 [4,3,1,2,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [3,4,1,2,5,6,7,8]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [4,2,1,3,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [4,1,2,3,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [3,2,1,4,5,6,7,8]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [2,3,1,4,5,6,7,8]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [3,1,2,4,5,6,7,8]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [2,1,3,4,5,6,7,8]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,2,3,4,5,6,7,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [6,8,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,8,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,5,8,7,4,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,6,8,7,4,3,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,7,6,8,4,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,8,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,8,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,6,8,7,5,3,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,6,8,5,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,6,7,8,5,3,2,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,5,8,7,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,7,8,6,3,2,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [6,5,4,8,7,3,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,6,5,8,7,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,5,6,8,7,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [5,7,6,4,8,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,6,5,8,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,6,7,5,8,3,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [5,4,7,6,8,3,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [4,5,7,6,8,3,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [4,6,5,7,8,3,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [3,8,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,8,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,6,8,7,5,4,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,7,6,8,5,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,5,8,7,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,5,7,8,6,4,2,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [3,5,6,8,7,4,2,1]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [3,7,6,5,8,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,6,7,5,8,4,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,5,7,6,8,4,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [3,5,6,7,8,4,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>384 [4,3,8,7,6,5,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,6,7,8,5,2,1]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [3,4,8,7,6,5,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,6,7,8,5,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [5,4,3,8,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,4,3,7,8,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [4,5,3,7,8,6,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [3,5,4,7,8,6,2,1]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [4,3,5,7,8,6,2,1]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>72 [3,4,5,8,7,6,2,1]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [3,4,5,7,8,6,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>216 [6,5,4,3,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,6,4,3,8,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [4,5,6,3,8,7,2,1]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>96 [4,3,6,5,8,7,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [5,4,3,6,8,7,2,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [4,5,3,6,8,7,2,1]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [4,3,5,6,8,7,2,1]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [3,4,5,6,8,7,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>162 [5,7,6,4,3,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [4,7,6,5,3,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [5,4,7,6,3,8,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [3,7,6,5,4,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,5,7,6,4,8,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [3,5,6,7,4,8,2,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>288 [4,3,7,6,5,8,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,4,7,6,5,8,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [3,4,6,7,5,8,2,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>216 [4,5,3,7,6,8,2,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [3,5,4,7,6,8,2,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [4,3,5,7,6,8,2,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [3,4,5,7,6,8,2,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>162 [3,6,5,4,7,8,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [3,5,6,4,7,8,2,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>216 [4,3,6,5,7,8,2,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [3,4,6,5,7,8,2,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>162 [3,5,4,6,7,8,2,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>162 [2,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,8,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,6,8,7,5,4,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,7,6,8,5,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,6,7,8,5,4,3,1]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [2,5,8,7,6,4,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,6,7,5,8,4,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [2,5,6,7,8,4,3,1]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>256 [2,4,8,7,6,5,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,4,7,8,6,5,3,1]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [2,4,6,7,8,5,3,1]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [2,4,5,6,8,7,3,1]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>162 [2,7,6,5,4,8,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,6,7,5,4,8,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [2,5,6,7,4,8,3,1]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>192 [2,5,4,7,6,8,3,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [2,6,5,4,7,8,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [2,5,6,4,7,8,3,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>144 [2,5,4,6,7,8,3,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>108 [2,4,5,6,7,8,3,1]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>243 [3,2,8,7,6,5,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,5,6,7,8,4,1]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>81 [2,3,8,7,6,5,4,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,6,7,8,5,4,1]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>128 [2,3,5,7,8,6,4,1]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>144 [2,3,7,6,5,8,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [2,3,5,6,7,8,4,1]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>162 [4,3,2,8,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,2,7,8,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [2,4,3,8,7,6,5,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [3,2,4,8,7,6,5,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,3,4,8,7,6,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,6,8,7,5,1]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>72 [2,3,4,7,6,8,5,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>48 [2,3,4,6,7,8,5,1]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>108 [5,4,3,2,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,4,3,2,7,8,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [2,5,4,3,8,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [2,3,5,4,8,7,6,1]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>24 [4,3,2,5,8,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [2,4,3,5,8,7,6,1]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>24 [2,3,4,5,8,7,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>32 [2,3,4,5,7,8,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>72 [6,5,4,3,2,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [2,6,5,4,3,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [3,2,6,5,4,8,7,1]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [4,3,2,6,5,8,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [2,4,3,6,5,8,7,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>27 [3,2,4,6,5,8,7,1]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>18 [2,3,4,6,5,8,7,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>36 [5,4,3,2,6,8,7,1]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [2,5,4,3,6,8,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>24 [3,2,5,4,6,8,7,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>18 [4,3,2,5,6,8,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>12 [2,4,3,5,6,8,7,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>36 [3,2,4,5,6,8,7,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>24 [2,3,4,5,6,8,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>48 [5,7,6,4,3,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [4,7,6,5,3,2,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,6,7,5,3,2,8,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [3,5,6,7,4,2,8,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>192 [3,4,6,7,5,2,8,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>144 [2,7,6,5,4,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,4,5,6,7,3,8,1]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>162 [3,2,7,6,5,4,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,3,7,6,5,4,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [2,3,5,6,7,4,8,1]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>108 [4,3,2,7,6,5,8,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [2,4,3,7,6,5,8,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>24 [3,2,4,7,6,5,8,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [2,3,4,7,6,5,8,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>32 [5,4,3,2,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [2,5,4,3,7,6,8,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>24 [3,2,5,4,7,6,8,1]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [2,3,5,4,7,6,8,1]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>36 [4,3,2,5,7,6,8,1]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>12 [2,4,3,5,7,6,8,1]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>36 [3,2,4,5,7,6,8,1]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>24 [2,3,4,5,7,6,8,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>48 [3,6,5,4,2,7,8,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [3,5,6,4,2,7,8,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>96 [3,4,6,5,2,7,8,1]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>72 [2,6,5,4,3,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [2,3,6,5,4,7,8,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>32 [2,3,5,6,4,7,8,1]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>72 [4,3,2,6,5,7,8,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>12 [2,4,3,6,5,7,8,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>36 [2,3,4,6,5,7,8,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>48 [2,5,4,3,6,7,8,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>32 [2,4,5,3,6,7,8,1]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>72 [3,2,5,4,6,7,8,1]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>24 [2,3,5,4,6,7,8,1]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>48 [2,4,3,5,6,7,8,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>48 [1,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,8,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,6,8,7,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,7,6,8,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,6,7,8,5,4,3,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [1,5,8,7,6,4,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,7,6,5,8,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,6,7,5,8,4,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [1,6,5,7,8,4,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [1,5,6,7,8,4,3,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [1,4,5,7,8,6,3,2]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>72 [1,6,5,4,7,8,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [1,5,4,6,7,8,3,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>27 [1,4,5,6,7,8,3,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>81 [1,3,5,7,8,6,4,2]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [1,3,6,7,5,8,4,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>48 [1,4,5,3,7,8,6,2]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>27 [1,3,4,5,6,8,7,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>24 [1,6,5,7,4,3,8,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [1,4,6,7,5,3,8,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>48 [1,5,6,4,7,3,8,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>24 [1,4,5,6,7,3,8,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>54 [1,6,5,4,3,7,8,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [1,5,4,3,6,7,8,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>8 [1,4,5,3,6,7,8,2]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>24 [1,4,3,5,6,7,8,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>16 [1,3,4,5,6,7,8,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>32 [2,1,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,8,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [2,1,6,8,7,5,4,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [2,1,7,6,8,5,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [2,1,6,7,8,5,4,3]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [2,1,5,8,7,6,4,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [2,1,7,6,5,8,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [2,1,5,7,6,8,4,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>18 [2,1,5,6,7,8,4,3]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>27 [2,1,4,8,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,1,4,5,8,7,6,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [2,1,7,6,5,4,8,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [2,1,5,4,6,7,8,3]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>8 [2,1,4,5,6,7,8,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>16 [1,2,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,8,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,2,6,7,8,5,4,3]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [1,2,5,6,8,7,4,3]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>18 [1,2,4,5,6,8,7,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>12 [1,2,7,6,5,4,8,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,2,5,7,6,4,8,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12 [1,2,5,6,7,4,8,3]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>18 [1,2,6,5,4,7,8,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,2,5,4,6,7,8,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>8 [1,2,4,5,6,7,8,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>16 [3,2,1,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,7,8,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [3,2,1,6,8,7,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [3,2,1,6,7,8,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>9 [2,3,1,8,7,6,5,4]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [2,3,1,6,8,7,5,4]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>12 [2,3,1,5,7,8,6,4]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>18 [2,3,1,6,5,8,7,4]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>6 [2,3,1,6,7,5,8,4]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>12 [1,3,2,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,8,7,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,7,8,6,5,4]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [2,1,3,5,6,7,8,4]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>8 [1,2,3,8,7,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,7,8,6,5,4]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,2,3,7,6,5,8,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,2,3,6,7,5,8,4]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,2,3,6,5,7,8,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,2,3,5,6,7,8,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>8 [4,3,2,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,3,2,1,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>3 [3,4,2,1,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,4,2,1,7,8,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>9 [3,2,4,1,8,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,3,4,1,8,7,6,5]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [2,3,4,1,6,7,8,5]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>16 [1,4,3,2,8,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,3,4,2,8,7,6,5]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [2,1,4,3,8,7,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [2,1,4,3,7,8,6,5]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,2,4,3,6,7,8,5]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>4 [3,2,1,4,7,8,6,5]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>3 [2,3,1,4,8,7,6,5]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2 [2,1,3,4,6,7,8,5]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,2,3,4,8,7,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,4,7,8,6,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,2,3,4,6,8,7,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,2,3,4,7,6,8,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,2,3,4,6,7,8,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>4 [5,4,3,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,4,3,2,1,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [4,5,3,2,1,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [4,3,5,2,1,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>3 [2,4,5,3,1,7,8,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>18 [3,4,2,5,1,7,8,6]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>12 [2,4,3,5,1,8,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>6 [2,3,4,5,1,8,7,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>8 [2,3,4,5,1,7,8,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>16 [1,4,5,3,2,8,7,6]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [4,3,2,1,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>2 [2,3,4,1,5,8,7,6]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>4 [2,3,4,1,5,7,8,6]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>8 [1,4,3,2,5,7,8,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>2 [1,3,4,2,5,7,8,6]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>4 [1,2,4,3,5,7,8,6]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2 [3,2,1,4,5,7,8,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>2 [2,3,1,4,5,7,8,6]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,3,2,4,5,7,8,6]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>2 [2,1,3,4,5,8,7,6]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [2,1,3,4,5,7,8,6]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,2,3,4,5,8,7,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,4,5,7,8,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,6,4,3,2,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [4,6,5,3,2,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [5,4,6,3,2,1,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [4,5,6,3,2,1,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>16 [3,6,5,4,2,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [3,4,6,5,2,1,8,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>18 [5,4,3,6,2,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [3,4,5,6,2,1,8,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>27 [2,6,5,4,3,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [2,4,3,6,5,1,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>9 [3,4,5,2,6,1,8,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>18 [2,3,4,5,6,1,8,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>16 [1,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,5,6,4,3,2,8,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [2,1,6,5,4,3,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [2,1,5,6,4,3,8,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,2,3,6,5,4,8,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [4,3,2,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>1 [3,4,2,1,6,5,8,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [2,4,3,1,6,5,8,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [2,1,4,3,6,5,8,7]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,2,4,3,6,5,8,7]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,2,3,4,6,5,8,7]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1 [3,4,5,2,1,6,8,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>9 [2,4,3,5,1,6,8,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>6 [2,3,4,5,1,6,8,7]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>8 [1,2,3,5,4,6,8,7]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,3,4,2,5,6,8,7]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,2,4,3,5,6,8,7]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>1 [3,2,1,4,5,6,8,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>1 [2,3,1,4,5,6,8,7]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,3,2,4,5,6,8,7]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>1 [2,1,3,4,5,6,8,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,2,3,4,5,6,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [5,7,6,4,3,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [4,7,6,5,3,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,4,7,6,3,2,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [4,5,7,6,3,2,1,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>40 [5,4,3,7,6,2,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [2,7,6,5,4,3,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,4,6,7,5,3,1,8]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>72 [2,5,6,4,7,3,1,8]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>48 [2,4,5,6,7,3,1,8]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>81 [2,3,7,6,5,4,1,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>10 [3,4,2,6,7,5,1,8]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>27 [2,3,4,7,6,5,1,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>16 [2,3,4,6,7,5,1,8]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>36 [2,3,4,5,7,6,1,8]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>24 [3,5,6,4,2,7,1,8]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>48 [2,4,3,6,5,7,1,8]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>18 [1,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,6,7,5,4,3,2,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,4,3,6,5,7,2,8]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>6 [1,4,5,3,6,7,2,8]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>12 [2,1,7,6,5,4,3,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,2,7,6,5,4,3,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,2,6,7,5,4,3,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,2,5,7,6,4,3,8]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,2,5,6,7,4,3,8]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>9 [3,2,1,7,6,5,4,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [2,3,1,6,5,7,4,8]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>4 [2,3,4,1,7,6,5,8]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,4,1,6,7,5,8]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>8 [1,2,3,4,7,6,5,8]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,2,3,4,6,7,5,8]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2 [2,4,3,5,1,7,6,8]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>6 [2,3,4,5,1,7,6,8]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>8 [1,4,3,5,2,7,6,8]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>2 [2,3,1,5,4,7,6,8]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,3,2,5,4,7,6,8]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1 [2,1,3,4,5,7,6,8]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,2,3,4,5,7,6,8]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [2,4,5,6,3,1,7,8]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>27 [2,3,6,5,4,1,7,8]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>8 [2,3,5,6,4,1,7,8]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>18 [2,3,4,6,5,1,7,8]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>12 [1,6,5,4,3,2,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,5,6,4,3,2,7,8]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [1,4,6,5,3,2,7,8]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>6 [1,5,4,6,3,2,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [1,4,5,6,3,2,7,8]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>9 [1,5,4,3,6,2,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [2,3,1,6,5,4,7,8]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,1,5,6,4,7,8]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>4 [2,3,4,1,6,5,7,8]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>4 [2,1,3,4,6,5,7,8]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,2,3,4,6,5,7,8]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1 [2,5,4,3,1,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4 [2,4,5,3,1,6,7,8]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>9 [2,3,5,4,1,6,7,8]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>6 [2,4,3,5,1,6,7,8]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>6 [1,4,5,3,2,6,7,8]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>3 [2,1,5,4,3,6,7,8]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1 [2,1,4,5,3,6,7,8]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>2 [1,2,5,4,3,6,7,8]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1 [2,3,1,5,4,6,7,8]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,2,3,5,4,6,7,8]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1 [2,4,3,1,5,6,7,8]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [1,4,3,2,5,6,7,8]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1 [1,3,4,2,5,6,7,8]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,1,4,3,5,6,7,8]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,2,4,3,5,6,7,8]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,3,2,4,5,6,7,8]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,2,3,4,8,6,7,5]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,7,5,6,8,4]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,2,3,8,5,6,7,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,5,7,6,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,6,5,7,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,6,7,5,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,6,4,5,7,8,3]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,2,7,4,5,6,8,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,2,8,4,5,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,4,6,7,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,4,7,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,5,4,6,3,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,2,7,5,4,6,8,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,2,8,5,4,6,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,5,4,7,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,5,6,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,5,6,7,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,6,5,4,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,6,5,7,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,7,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,3,2,8,5,7,6,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,3,2,8,6,5,7,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,3,2,8,6,7,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,3,4,2,8,6,7,5]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,4,3,2,8,6,7,5]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,5,3,4,6,2,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [1,5,3,4,6,7,8,2]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>8 [1,6,3,4,5,2,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,7,3,4,5,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,4,6,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,4,7,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,3,5,4,2,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,7,3,5,4,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,3,5,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,5,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,5,6,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,5,6,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,5,7,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,3,6,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,3,6,5,4,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,7,5,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,7,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,4,3,5,2,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,8,4,3,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,3,5,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,3,6,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,3,6,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,4,5,3,2,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,6,4,5,3,2,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,8,4,5,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,4,5,6,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,4,6,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,4,6,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,6,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,7,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,5,4,3,6,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,5,4,3,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,4,3,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,4,6,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,4,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,4,7,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,6,4,5,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,6,4,5,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,4,5,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,4,5,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,5,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,5,4,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,3,8,5,6,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,8,5,7,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,8,6,5,7,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,8,6,7,5,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,4,3,8,6,7,5]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [2,1,4,5,8,6,7,3]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [2,1,4,8,5,6,7,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,1,4,8,5,7,6,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,1,4,8,6,5,7,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,1,4,8,6,7,5,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,1,6,4,5,3,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [2,1,8,4,5,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,4,5,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,4,6,5,8,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [2,1,8,4,6,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,4,6,7,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,4,7,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,5,4,6,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,5,4,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,5,6,4,8,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [2,1,8,5,6,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,5,6,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,5,7,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,6,5,4,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,7,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,3,1,8,5,6,7,4]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [2,3,1,8,6,7,5,4]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [2,3,4,1,8,6,7,5]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [2,3,4,5,8,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>32 [2,3,4,7,5,6,1,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>16 [2,3,4,7,5,6,8,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>32 [2,3,4,8,5,6,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,5,7,6,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,6,5,7,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,6,7,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,5,4,8,6,7,1]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>24 [2,3,6,4,5,1,7,8]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>8 [2,3,6,4,5,7,8,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>32 [2,3,6,4,5,8,7,1]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>24 [2,3,7,4,5,6,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [2,3,8,4,5,6,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,7,4,6,5,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [2,3,8,4,6,7,5,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,7,5,4,6,1,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>10 [2,3,7,5,4,6,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [2,3,8,5,4,6,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,7,5,6,4,1,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>10 [2,3,7,5,6,4,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [2,3,8,5,6,4,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,5,6,7,4,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,5,7,6,4,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,6,5,4,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,4,3,5,8,6,7,1]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>24 [2,4,3,7,5,6,8,1]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>24 [2,4,3,8,5,6,7,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,4,3,8,5,7,6,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,4,3,8,6,5,7,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,4,3,8,6,7,5,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,5,3,4,1,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4 [2,5,3,4,6,7,8,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>32 [2,5,3,4,6,8,7,1]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>24 [2,5,3,4,7,6,8,1]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>24 [2,5,3,4,8,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [2,5,3,4,8,7,6,1]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [2,6,3,4,5,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [2,6,3,4,5,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,7,3,4,5,6,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,8,3,4,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,3,4,5,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,3,5,4,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [2,6,3,5,4,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [2,6,3,5,4,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,7,3,5,4,6,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,3,5,4,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,3,5,6,4,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,3,5,6,7,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,3,5,7,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,3,6,5,4,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,8,3,7,5,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,3,7,6,5,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,5,4,3,8,6,7,1]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [2,6,4,3,5,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [2,6,4,3,5,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [2,6,4,3,5,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,7,4,3,5,6,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,4,3,5,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,3,5,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,4,3,6,5,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,4,3,6,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,3,6,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,3,7,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,4,5,3,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [2,6,4,5,3,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [2,6,4,5,3,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,8,4,5,3,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,4,5,6,3,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,7,4,5,6,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,4,5,6,3,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,5,6,7,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,4,6,5,3,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,7,4,6,5,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,4,6,5,3,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,7,6,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,5,4,3,6,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,5,4,3,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,4,3,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,5,4,6,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,5,4,6,7,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,4,7,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,6,4,5,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,7,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,4,6,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,2,1,7,5,6,4,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [3,2,1,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,5,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,6,7,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,4,1,8,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [3,2,4,5,8,6,7,1]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [3,2,4,7,5,6,8,1]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [3,2,4,8,5,6,7,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [3,2,4,8,6,7,5,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [3,2,5,4,8,6,7,1]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [3,2,8,4,5,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,7,4,6,5,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [3,2,8,4,6,5,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,8,5,4,6,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,8,5,4,7,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,7,5,6,4,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [3,2,8,5,6,4,7,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,8,5,7,6,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,8,6,5,7,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,8,7,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,2,3,1,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>2 [4,2,3,1,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>1 [4,2,3,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,2,3,1,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,2,3,5,6,8,7,1]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>12 [4,2,3,5,8,7,6,1]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [4,2,3,6,5,8,7,1]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [4,2,3,7,5,6,8,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,2,3,8,5,6,7,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,2,3,8,5,7,6,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,2,3,7,6,5,8,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,2,3,8,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,2,3,8,7,6,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,2,3,4,1,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [5,2,3,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,2,3,4,8,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,3,4,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,2,3,4,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,2,3,4,5,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,2,3,4,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,3,4,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,3,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,3,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,2,3,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,2,3,5,4,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,2,3,5,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,2,3,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,3,5,4,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,3,5,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,3,5,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,5,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,3,6,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,3,6,5,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,7,5,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,4,3,1,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,2,4,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,2,4,3,6,1,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [5,2,4,3,6,7,1,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>4 [5,2,4,3,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [5,2,4,3,8,7,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,2,4,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [7,2,4,3,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,4,3,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,4,3,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,3,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,3,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,4,5,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,2,4,5,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,2,4,5,3,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,2,4,5,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,4,5,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,4,5,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,5,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,5,6,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,5,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,4,6,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,4,6,5,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,4,7,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,7,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,5,4,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,2,5,4,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,2,5,4,3,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,2,5,4,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,2,5,4,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,5,4,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,4,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,5,4,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,6,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,6,4,5,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,6,4,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,4,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,4,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,4,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,6,5,4,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,6,5,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,5,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,5,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,5,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,6,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,2,1,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,3,2,7,5,6,8,1]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,3,2,8,5,6,7,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,2,8,5,7,6,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,2,8,6,7,5,1]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,3,2,4,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [8,3,2,4,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,4,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,4,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,2,5,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,3,2,5,4,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,3,2,5,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,3,2,5,4,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,3,2,5,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,3,2,5,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,5,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,2,5,6,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,5,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,5,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,6,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,7,5,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,4,2,1,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [5,3,4,2,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,3,4,2,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [5,3,4,2,8,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,3,4,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [7,3,4,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,4,2,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,4,2,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,4,5,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,3,4,5,2,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,3,4,5,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,4,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,3,4,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,5,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,3,5,4,2,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,3,5,4,2,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,3,5,4,2,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,3,5,4,2,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,3,5,4,2,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,4,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,5,4,6,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,5,4,6,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,5,4,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,6,4,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,6,4,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,6,4,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,4,5,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,4,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,6,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,6,5,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,6,5,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,5,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,5,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,5,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,3,2,8,6,7,1]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,4,3,2,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,4,3,2,5,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,4,3,2,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,3,2,6,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,3,2,6,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,3,2,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,2,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,2,7,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,3,5,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,4,3,5,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,3,6,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,3,6,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,3,7,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,3,4,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,5,3,4,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,4,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,3,5,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,3,5,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,6,3,5,4,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,5,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,1,3,6,5,8,7]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [2,4,1,6,3,5,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>9 [2,4,1,6,3,8,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>27 [2,4,1,6,3,7,5,8]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>18 [2,4,6,7,1,3,5,8]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>72 [2,4,1,6,3,7,8,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>36 [2,4,6,7,8,1,3,5]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [2,4,1,7,3,5,8,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>24 [2,1,4,3,7,8,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3 [2,4,1,7,3,8,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>36 [2,4,1,7,8,3,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>48 [2,4,7,8,1,3,5,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [2,4,1,5,3,7,6,8]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>6 [2,4,5,1,3,7,8,6]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>18 [2,4,1,5,7,3,8,6]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>36 [2,1,4,3,8,5,6,7]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [2,1,4,8,3,5,6,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,4,1,8,3,5,6,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,4,8,1,3,5,6,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,4,1,5,3,8,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>6 [2,1,4,5,8,3,6,7]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [2,4,1,5,8,3,6,7]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>24 [2,4,1,5,3,6,8,7]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>6 [2,4,1,5,6,8,3,7]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>36 [2,4,5,6,8,1,3,7]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>162 [2,4,1,3,5,6,7,8]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [2,4,1,5,3,6,7,8]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>6 [2,4,5,1,3,6,7,8]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>9 [2,4,5,6,1,3,7,8]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>27 [2,4,5,6,7,1,3,8]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>81 [2,4,1,5,6,7,8,3]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>48 [2,4,5,6,7,1,8,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>162 [2,4,5,6,7,8,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>243 [2,1,5,6,3,4,8,7]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3 [2,5,1,6,3,4,8,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>12 [2,5,1,3,6,8,4,7]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>24 [2,5,6,1,7,3,4,8]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>48 [2,1,5,3,6,7,8,4]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>8 [2,5,1,3,6,7,8,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>32 [2,1,5,6,7,8,3,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>27 [2,5,1,6,7,8,3,4]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>108 [2,5,6,1,7,8,3,4]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>144 [2,5,6,7,1,8,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>192 [2,5,6,7,8,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>256 [2,5,1,3,7,4,8,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>24 [2,1,5,7,3,8,4,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>18 [2,5,1,7,3,8,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [2,5,7,1,3,8,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [2,5,7,8,1,3,4,6]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [2,3,5,1,7,4,8,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>36 [2,3,1,5,7,8,4,6]=>[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>18 [2,5,1,3,8,4,6,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [2,1,5,8,3,4,6,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [2,5,8,1,3,4,6,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,3,5,1,8,4,6,7]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>24 [2,3,5,1,6,8,4,7]=>[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>36 [2,1,5,3,4,6,7,8]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1 [2,5,1,3,4,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4 [2,3,5,1,4,6,7,8]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>6 [2,3,5,6,1,4,7,8]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>18 [2,3,5,1,6,7,8,4]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>48 [2,3,5,6,1,7,8,4]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>72 [2,3,5,6,7,1,8,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>108 [2,3,5,6,7,8,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>162 [2,6,1,3,7,8,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [2,6,7,1,3,8,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [2,1,6,7,8,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [2,6,7,1,8,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [2,6,7,8,1,3,4,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [2,3,1,6,4,7,5,8]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>4 [2,6,1,3,4,7,8,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [2,3,6,1,4,7,8,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>32 [2,1,3,6,7,8,4,5]=>[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>9 [2,3,6,1,7,8,4,5]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>72 [2,3,6,7,1,8,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>96 [2,3,6,7,8,1,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>128 [2,1,6,8,3,4,5,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [2,6,1,8,3,4,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,6,8,1,3,4,5,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,6,1,3,4,8,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,3,1,6,4,8,5,7]=>[1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>6 [2,3,6,1,4,8,5,7]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>24 [2,3,1,6,8,4,5,7]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>12 [2,3,6,8,1,4,5,7]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [2,1,6,3,4,5,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [2,6,1,3,4,5,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [2,3,4,6,1,8,5,7]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>36 [2,3,4,6,8,1,5,7]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>72 [2,3,1,6,4,5,7,8]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>2 [2,3,6,1,4,5,7,8]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>8 [2,3,4,6,1,5,7,8]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>12 [2,3,4,6,7,1,5,8]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>36 [2,3,4,6,1,7,8,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>48 [2,3,4,6,7,8,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>108 [2,1,7,3,8,4,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [2,7,1,3,8,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,1,7,8,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [2,7,1,8,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,7,8,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,1,7,3,4,8,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [2,3,7,1,4,8,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [2,1,3,7,8,4,5,6]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [2,3,1,7,8,4,5,6]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>8 [2,3,7,8,1,4,5,6]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [2,1,7,3,4,5,8,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [2,7,1,3,4,5,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,3,7,1,4,5,8,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [2,3,4,7,1,5,8,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>32 [2,3,4,7,1,8,5,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>48 [2,3,4,7,8,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>64 [2,1,7,3,4,5,6,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [2,7,1,3,4,5,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,3,7,1,4,5,6,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>10 [2,3,4,1,7,5,6,8]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>4 [2,3,4,7,1,5,6,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>16 [2,3,4,5,7,1,6,8]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>24 [2,3,4,5,7,1,8,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>48 [2,3,4,5,7,8,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>72 [2,1,8,3,4,5,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,8,1,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,1,3,8,4,5,6,7]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,3,1,8,4,5,6,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [2,3,8,1,4,5,6,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,1,4,8,5,6,7]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2 [2,3,4,1,8,5,6,7]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [2,3,4,8,1,5,6,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,1,3,4,5,8,6,7]=>[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [2,3,4,1,5,8,6,7]=>[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>4 [2,3,4,5,1,8,6,7]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>8 [2,3,4,5,8,1,6,7]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>32 [2,3,4,5,6,8,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>48 [3,4,1,2,6,5,8,7]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [3,4,6,1,2,5,8,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>18 [3,1,4,6,2,8,5,7]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>18 [3,4,6,8,1,2,5,7]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [3,4,1,6,7,2,5,8]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>27 [3,1,4,6,2,7,8,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>24 [3,4,6,1,2,7,8,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>72 [3,4,6,7,1,2,8,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>144 [3,4,6,1,7,8,2,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>162 [3,4,6,7,1,8,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>216 [3,4,6,7,8,1,2,5]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [3,1,4,7,2,5,8,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [3,4,1,2,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>9 [3,4,7,1,8,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [3,4,7,8,1,2,5,6]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [3,4,1,2,5,7,8,6]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>6 [3,1,4,5,7,2,8,6]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>24 [3,4,5,7,1,8,2,6]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>162 [3,4,5,7,8,1,2,6]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>216 [3,1,4,2,8,5,6,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [3,4,1,2,8,5,6,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,1,4,8,2,5,6,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [3,4,8,1,2,5,6,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,1,4,5,8,2,6,7]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [3,4,5,8,1,2,6,7]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [3,4,5,1,2,6,8,7]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>9 [3,4,5,1,6,2,8,7]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>18 [3,4,5,6,1,2,8,7]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>27 [3,1,4,5,6,8,2,7]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>24 [3,4,5,6,1,8,2,7]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>81 [3,4,5,6,8,1,2,7]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>162 [3,1,4,2,5,6,7,8]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,4,5,2,6,7,8]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>4 [3,4,5,1,6,2,7,8]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>18 [3,1,4,5,6,7,2,8]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>16 [3,4,1,5,6,7,2,8]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>24 [3,1,4,5,6,7,8,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>32 [3,4,1,5,6,7,8,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>48 [3,4,5,1,6,7,8,2]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>72 [3,4,5,6,7,1,8,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>162 [3,5,1,6,2,4,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>18 [3,1,5,2,6,8,4,7]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>18 [3,5,1,6,8,2,4,7]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [3,5,6,1,8,2,4,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [3,5,6,8,1,2,4,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [3,5,6,1,2,7,4,8]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>48 [3,1,5,2,6,7,8,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>24 [3,5,6,1,2,7,8,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>96 [3,5,6,7,1,2,8,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>192 [3,1,5,6,7,8,2,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>81 [3,5,1,6,7,8,2,4]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>162 [3,5,6,1,7,8,2,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>216 [3,5,6,7,1,8,2,4]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>288 [3,5,6,7,8,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>384 [3,1,5,2,7,4,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [3,5,1,7,2,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [3,5,7,1,2,8,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [3,5,1,7,8,2,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [3,5,7,8,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [1,3,5,7,8,2,4,6]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [3,1,5,2,8,4,6,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [3,5,1,8,2,4,6,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,6,1,7,2,4,8,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [3,6,7,1,2,4,8,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [3,6,1,2,7,8,4,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [3,6,1,7,2,8,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [3,6,7,1,2,8,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [3,6,1,7,8,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [3,6,7,8,1,2,4,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [3,1,6,2,4,7,8,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [3,6,1,2,4,7,8,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [3,1,2,6,7,8,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>9 [3,6,1,8,2,4,5,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,1,6,2,4,8,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [3,6,1,2,4,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [1,3,6,2,4,5,7,8]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [3,7,1,2,8,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,1,7,8,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [3,7,8,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,1,2,4,8,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,1,2,7,8,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [3,1,7,2,4,5,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [3,7,1,2,4,5,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [3,1,2,4,7,8,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>3 [3,7,1,2,4,5,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,1,2,7,4,5,6,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [3,1,2,4,5,7,8,6]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>2 [3,1,8,2,4,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,8,1,2,4,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,1,2,8,4,5,6,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,3,2,8,4,5,6,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,3,4,2,8,5,6,7]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [3,1,2,4,5,6,8,7]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,3,4,5,6,8,2,7]=>[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>24 [4,5,6,1,2,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>16 [4,1,5,6,8,2,3,7]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [4,5,1,6,8,2,3,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [4,5,6,1,8,2,3,7]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>96 [4,5,6,8,1,2,3,7]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [4,5,1,6,2,7,3,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>24 [4,5,1,2,6,7,8,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>32 [4,5,6,1,2,7,8,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>64 [4,1,5,6,7,2,8,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>54 [4,5,6,7,1,2,8,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>128 [4,1,5,6,7,8,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>81 [4,5,1,6,7,8,2,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>108 [4,5,6,1,7,8,2,3]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>144 [4,5,6,7,1,8,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>192 [4,1,5,7,2,8,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [4,5,1,7,2,8,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [4,5,7,1,2,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,5,1,7,8,2,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [4,5,7,8,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [1,4,2,5,3,7,6,8]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>2 [4,1,2,5,7,3,8,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>12 [1,4,5,7,2,3,8,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>36 [1,4,5,2,7,8,3,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>27 [1,4,5,7,8,2,3,6]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>72 [4,5,1,8,2,3,6,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,5,8,1,2,3,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,1,5,2,3,8,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>3 [4,5,1,2,3,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [1,4,5,2,3,8,6,7]=>[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [4,1,2,5,8,3,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [4,1,2,5,6,8,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>12 [4,1,2,5,3,6,7,8]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>2 [1,4,5,2,3,6,7,8]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>3 [4,1,2,5,6,3,7,8]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>4 [4,1,2,5,6,7,3,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>8 [1,4,5,2,6,7,3,8]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>12 [1,4,5,6,7,2,3,8]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>27 [4,1,2,5,6,7,8,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>16 [1,4,2,5,6,7,8,3]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>16 [1,4,5,2,6,7,8,3]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>24 [1,4,5,6,2,7,8,3]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>36 [1,4,5,6,7,2,8,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>54 [1,4,5,6,7,8,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>81 [4,6,7,1,2,3,8,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [4,6,1,2,7,8,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [4,6,1,7,2,8,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [4,6,7,1,2,8,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [4,6,1,7,8,2,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [4,6,7,1,8,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,6,7,8,1,2,3,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [1,4,2,6,3,7,5,8]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>6 [4,1,2,6,3,7,8,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>12 [1,4,6,2,3,7,8,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>24 [4,1,6,2,8,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,6,1,2,8,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,1,6,8,2,3,5,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,6,1,8,2,3,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,8,1,2,3,5,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,1,2,6,3,8,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [4,6,1,2,3,5,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [4,1,2,3,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>1 [1,4,2,3,6,5,8,7]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>1 [1,4,6,2,3,5,7,8]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>6 [4,1,7,2,8,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,7,1,2,8,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,1,7,8,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [4,7,1,8,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,8,1,2,3,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,1,7,2,3,8,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,7,1,2,3,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,1,2,7,8,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [1,4,7,2,8,3,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,1,2,7,3,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [1,4,7,2,3,5,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [4,1,2,3,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>3 [1,2,4,7,3,5,6,8]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [4,1,2,3,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>2 [1,4,2,3,5,7,8,6]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>2 [4,1,8,2,3,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,1,2,3,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,2,8,3,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,1,2,3,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,4,2,3,8,5,6,7]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,2,4,5,6,8,3,7]=>[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>12 [1,4,2,3,5,6,7,8]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1 [5,6,1,2,7,3,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [5,6,1,7,2,3,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [5,6,7,1,2,3,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [5,1,6,2,7,8,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [5,6,1,2,7,8,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [5,1,6,7,2,8,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [5,6,1,7,2,8,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,6,7,1,2,8,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [5,1,6,7,8,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [5,6,1,7,8,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [5,6,7,1,8,2,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [1,5,6,7,2,3,8,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>32 [5,1,2,6,7,8,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [1,5,6,2,7,8,3,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>36 [1,5,6,7,8,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [5,1,6,2,8,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,6,1,2,8,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,6,1,8,2,3,4,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,6,8,1,2,3,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,1,2,6,8,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,1,6,2,3,4,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [5,6,1,2,3,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [1,5,6,2,3,4,8,7]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [5,1,2,3,6,8,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [1,2,5,6,8,3,4,7]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>18 [5,1,2,6,3,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [1,5,2,6,3,4,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [1,5,6,2,3,4,7,8]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [5,1,2,3,6,4,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [1,5,2,3,6,4,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [5,1,2,3,6,7,4,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>4 [5,1,2,3,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [1,5,2,3,6,7,8,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>8 [1,2,5,3,6,7,8,4]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>8 [1,2,5,6,3,7,8,4]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>12 [1,2,5,6,7,3,8,4]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>18 [5,1,7,2,8,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,7,1,2,8,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,1,7,8,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,7,8,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,1,2,7,3,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,1,2,7,8,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,1,7,2,3,4,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,7,1,2,3,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,1,2,3,7,4,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [1,2,5,7,3,4,8,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12 [5,1,2,3,7,8,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [1,2,5,7,8,3,4,6]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>24 [5,1,7,2,3,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,7,1,2,3,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [1,2,5,7,3,4,6,8]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [5,1,2,3,4,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [5,1,8,2,3,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,1,2,3,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,2,8,3,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,2,3,8,4,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,1,2,3,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [1,2,5,3,4,6,7,8]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1 [6,1,7,2,8,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,7,1,2,8,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,1,7,8,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,7,1,8,2,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,1,7,2,3,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,7,1,2,3,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,1,2,7,3,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,1,2,7,8,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [1,6,2,7,8,3,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [1,6,7,2,8,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [1,6,7,8,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [6,1,7,2,3,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,7,1,2,3,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,1,2,7,3,4,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [1,6,2,7,3,4,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [6,1,2,3,7,4,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [1,2,6,7,3,4,8,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8 [6,1,2,3,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [1,6,2,3,7,8,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [1,2,6,7,8,3,4,5]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [6,1,7,2,3,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,1,2,7,3,4,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [1,6,7,2,3,4,5,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,2,6,3,7,4,5,8]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,2,6,7,3,4,5,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [6,1,2,3,4,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [1,2,6,3,4,7,5,8]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [6,1,2,3,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [1,6,2,3,4,7,8,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [1,2,6,3,4,7,8,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,2,3,6,4,7,8,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,2,3,6,7,4,8,5]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>6 [6,1,8,2,3,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,1,2,8,3,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [1,6,8,2,3,4,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,1,2,3,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,1,2,3,4,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,1,2,3,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [1,6,2,3,4,5,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,2,6,3,4,5,8,7]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,2,3,6,4,5,8,7]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,2,3,4,6,8,5,7]=>[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,6,2,3,4,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [7,1,8,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,2,8,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,7,2,8,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,8,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,1,2,3,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,2,3,8,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,2,7,3,8,4,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,2,7,8,3,4,5,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [7,1,2,3,4,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,2,3,7,8,4,5,6]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [7,1,2,3,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,2,7,3,4,5,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,2,3,7,4,5,8,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,2,3,4,7,5,8,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,2,3,4,7,8,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,7,2,3,4,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,2,7,3,4,5,6,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,2,3,4,7,5,6,8]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,8,2,3,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,3,4,5,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,3,8,4,5,6,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,4,8,5,6,7]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,4,5,8,6,7]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [5,3,2,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [7,3,2,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,5,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,5,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,5,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,4,6,2,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [3,6,1,5,4,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [4,6,5,1,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [5,6,4,3,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [7,5,4,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,4,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,4,3,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [5,7,4,3,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [4,7,5,1,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,7,1,5,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [2,1,7,5,4,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [3,8,1,5,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,1,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,3,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,4,3,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,5,7,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,6,7,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,1,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,1,6,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,1,8,6,7,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,6,8,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [3,7,1,6,8,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,6,1,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,7,6,8,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,4,7,2,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,4,7,2,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,4,6,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,6,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,6,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,2,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,3,2,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [4,3,2,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>3 [3,4,1,2,8,7,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,3,2,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,3,2,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,3,2,8,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,4,7,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,8,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,8,2,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,4,8,2,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,8,1,2,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,1,8,2,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [2,1,5,8,3,7,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [2,1,6,8,7,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [3,6,1,8,7,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,8,1,7,2,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,6,8,7,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,5,8,7,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,5,8,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,5,7,6,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,7,8,1,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [3,7,1,8,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,1,7,8,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [3,8,1,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,7,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,5,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,1,4,3,6,5,8,7,10,9]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [8,3,2,5,4,7,6,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,3,2,5,4,7,6,9,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,2,7,6,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,5,4,3,2,7,6,9,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,7,4,3,6,5,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,7,4,3,6,5,2,9,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,1,10,5,4,7,6,9,8,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [10,9,4,3,6,5,8,7,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,3,2,7,6,5,4,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,3,2,7,6,5,4,9,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,7,6,5,4,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [9,7,6,5,4,3,2,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [10,7,6,5,4,3,2,9,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,1,10,7,6,5,4,9,8,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [10,9,6,5,4,3,8,7,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [4,3,2,1,10,7,6,9,8,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [10,3,2,9,6,5,8,7,4,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,1,10,9,6,5,8,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [10,9,8,5,4,7,6,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,9,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,3,2,5,4,1,10,9,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [10,3,2,5,4,9,8,7,6,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,5,4,3,2,1,10,9,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [10,5,4,3,2,9,8,7,6,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,1,10,5,4,9,8,7,6,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [10,9,4,3,8,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,10,5,9,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [9,7,5,10,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [4,3,2,1,10,9,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [10,3,2,9,8,7,6,5,4,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,1,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,10,1,9,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>36 [9,10,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [4,2,5,1,3,6,7,8]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>3 [5,2,4,1,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [6,2,4,1,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,3,5,1,2,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [5,2,7,1,3,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,3,7,1,2,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,4,7,1,2,3,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,2,7,1,3,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,3,7,1,2,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,4,7,1,2,3,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,3,5,1,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,6,1,2,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,6,1,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,2,8,1,4,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,2,8,1,3,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,2,8,1,3,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,1,2,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,8,1,3,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,8,1,2,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,1,2,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,1,2,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,8,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,1,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,2,4,1,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,1,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,1,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,1,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,4,7,1,3,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,3,4,7,1,2,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [6,2,5,7,1,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,3,5,7,1,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [7,2,4,6,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,4,6,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,5,6,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,2,5,8,1,3,6,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,3,5,8,1,2,6,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [5,2,4,8,1,3,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,6,8,1,3,5,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,3,6,8,1,2,5,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [5,2,6,8,1,3,4,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,2,4,8,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,4,8,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,5,8,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,5,8,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,5,8,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,2,7,8,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [4,3,7,8,1,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [5,3,7,8,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,4,7,8,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [6,2,7,8,1,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,3,7,8,1,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,4,7,8,1,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,2,4,8,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,4,8,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,5,8,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,5,8,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,6,8,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,2,4,6,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,6,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,6,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,7,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,7,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,2,5,1,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [4,7,3,5,1,2,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,7,2,4,1,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,3,4,1,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,2,6,1,4,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [4,7,3,6,1,2,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,7,2,6,1,3,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,3,6,1,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,7,2,5,1,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [4,8,2,5,1,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,4,1,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,4,1,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,2,6,1,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,6,1,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,6,1,2,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,6,1,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,4,1,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,4,1,2,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,5,1,2,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,5,1,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,7,1,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,7,1,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,7,1,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,7,1,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,7,1,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,7,1,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,7,1,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,7,1,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,7,1,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,3,2,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [5,4,2,6,1,3,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [6,3,2,5,1,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,4,2,5,1,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,5,2,4,1,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [5,3,2,7,1,4,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,4,3,7,1,2,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [6,3,2,7,1,4,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,4,2,7,1,3,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,4,3,7,1,2,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,5,2,7,1,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,5,3,7,1,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [7,3,2,5,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,2,5,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,2,6,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,2,6,1,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,3,6,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,2,6,1,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,6,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,3,5,1,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,3,2,8,1,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,3,2,8,1,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,4,3,8,1,2,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,3,2,8,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,2,8,1,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,3,8,1,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,2,8,1,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,3,8,1,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,4,8,1,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,3,2,8,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,2,8,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,3,8,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,3,8,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,4,8,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,2,8,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,4,8,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,3,2,5,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,5,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,6,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,6,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,4,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,5,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,7,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,7,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,7,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,7,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,7,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,7,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,4,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,5,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,6,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,6,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,2,5,8,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,6,3,5,8,1,2,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [5,6,2,4,8,1,3,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [4,7,2,5,8,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,7,3,5,8,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,7,2,4,8,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,3,4,8,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [3,7,2,6,8,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,3,6,8,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,7,2,6,8,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,4,6,8,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,3,4,8,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,3,5,8,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [3,8,2,5,7,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,5,7,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,5,7,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,4,7,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,2,6,7,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,3,6,7,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,6,7,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,6,7,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,6,7,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,5,7,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,5,7,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,5,7,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,3,2,6,8,1,4,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,4,2,6,8,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,4,3,6,8,1,2,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [6,3,2,5,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,3,5,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,2,4,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,3,2,7,8,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [5,3,2,7,8,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,4,2,7,8,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,4,3,7,8,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [6,4,2,7,8,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,4,3,7,8,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,5,2,7,8,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,4,2,5,8,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,3,5,8,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,2,6,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,2,6,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,6,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,2,4,8,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,3,5,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,3,2,5,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,5,7,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,4,7,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,6,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,6,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,6,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,6,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,4,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,5,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,5,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,4,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,5,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,7,2,6,1,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,4,7,2,6,1,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,3,7,2,5,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,4,7,3,5,1,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,3,6,2,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,3,8,2,6,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,3,8,2,6,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,2,6,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,3,6,1,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,3,8,2,5,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,2,5,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,3,5,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,2,4,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,3,4,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,3,8,2,7,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,3,8,2,7,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,2,7,1,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,3,7,1,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,3,8,2,7,1,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,2,7,1,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,3,7,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,2,7,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,3,8,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,3,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,3,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,2,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,4,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,8,2,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,8,3,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,3,6,2,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,2,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,2,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,2,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,2,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,2,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,2,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,2,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,3,2,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,5,3,2,7,1,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,5,4,2,7,1,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,5,3,2,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,4,2,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,3,2,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,4,3,2,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,5,3,2,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,4,2,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,4,3,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,5,3,2,8,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,4,2,8,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,3,2,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,4,3,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,5,2,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,5,3,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,3,2,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,2,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,2,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,2,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,2,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,3,7,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,3,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,2,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,2,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,3,7,2,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,7,2,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,7,2,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,7,3,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,3,7,2,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,7,2,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,7,3,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,7,2,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,7,3,4,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,4,3,8,2,7,1,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,4,3,8,2,7,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,4,8,2,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,4,8,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,3,8,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,4,8,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,3,8,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,4,8,2,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,5,8,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,4,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,7,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,7,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,4,3,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,6,4,3,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,5,4,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,5,4,3,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,3,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,3,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,3,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,3,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,4,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,3,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,1,2,3,8,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [8,1,2,3,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,2,8,3,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [8,1,2,5,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,5,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,2,6,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,6,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,2,5,3,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,1,2,5,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,6,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,2,5,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [4,1,2,8,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,1,2,8,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,1,2,7,6,3,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [8,1,2,5,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,5,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,7,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,5,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,1,2,5,8,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [4,1,2,8,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [8,1,2,5,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,8,2,4,7,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,8,2,6,4,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,8,2,7,4,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,7,2,6,4,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [3,1,5,2,8,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [3,1,8,2,6,7,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,1,4,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,2,3,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,4,2,3,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,1,4,2,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,2,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [8,1,5,2,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,2,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,7,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,5,2,3,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,1,5,2,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,8,2,3,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,5,2,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,1,4,2,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,1,4,2,7,3,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [8,1,4,2,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,2,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,2,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,5,2,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,2,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,5,2,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,1,4,2,6,8,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [5,1,4,2,8,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [8,1,4,2,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,2,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,4,2,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [3,1,4,8,2,7,5,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [3,1,8,5,2,4,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,7,5,2,4,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [3,1,8,6,2,4,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,7,6,2,4,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [3,1,6,5,2,8,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [3,1,8,5,2,7,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,8,6,2,7,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,6,5,2,7,8,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [8,1,4,5,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,5,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,4,6,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,8,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,4,6,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,6,5,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,5,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,8,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,6,5,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,4,5,2,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,1,4,5,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,6,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,5,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,5,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [3,1,4,8,6,2,5,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [3,1,4,8,7,2,5,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [3,1,4,7,6,2,8,5]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [3,1,8,5,6,2,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,8,5,7,2,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,8,7,6,2,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,7,5,6,2,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [8,1,4,5,6,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,5,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,7,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,5,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,1,4,5,8,7,2,6]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [3,1,4,8,6,7,2,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [3,1,8,5,6,7,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,1,4,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,1,3,4,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,1,3,6,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,1,3,7,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,1,3,6,4,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,5,1,3,8,7,4,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [2,8,1,3,6,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,4,1,8,3,7,5,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,8,1,5,3,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,1,5,3,4,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,1,6,3,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,1,6,3,4,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,6,1,5,3,8,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,8,1,5,3,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,1,6,3,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,1,5,3,7,8,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [2,4,1,8,6,3,5,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,4,1,8,7,3,5,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,4,1,7,6,3,8,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>24 [2,8,1,5,6,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,1,5,7,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,1,7,6,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,1,5,6,3,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,4,1,5,8,7,3,6]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>24 [2,4,1,8,6,7,3,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,8,1,5,6,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,3,1,2,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,3,1,2,4,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,3,1,2,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,1,2,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,3,1,2,8,4,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,3,1,2,7,4,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [8,3,1,2,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,2,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,2,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,3,1,2,6,8,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [5,3,1,2,8,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [8,3,1,2,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,1,2,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [7,4,1,2,3,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,4,1,2,3,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,4,1,2,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,1,2,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,6,1,2,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,8,1,2,3,7,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,6,1,2,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,1,2,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,4,1,2,7,3,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [8,4,1,2,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,2,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,2,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,8,1,2,6,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,2,7,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,1,2,6,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,4,1,2,6,8,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [5,4,1,2,8,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [8,4,1,2,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,1,2,6,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,1,2,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [4,3,1,8,2,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,1,7,2,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,3,1,6,2,8,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [4,3,1,8,2,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,1,6,2,7,8,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>12 [8,3,1,5,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,5,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,1,6,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,8,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,1,6,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,3,1,5,2,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,3,1,5,2,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,6,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,1,5,2,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [8,4,1,5,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,5,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,1,6,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,8,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,1,6,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,8,1,5,2,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,1,5,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,1,5,2,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,4,1,5,2,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,4,1,5,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,6,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,5,2,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,4,1,5,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [4,3,1,5,8,2,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [4,3,1,5,7,2,8,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>12 [4,3,1,8,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,1,8,7,2,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,1,7,6,2,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [8,3,1,5,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,5,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,5,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,1,5,6,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,5,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,7,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,4,1,5,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,3,1,5,6,8,2,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>12 [4,3,1,5,8,7,2,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [4,3,1,8,6,7,2,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [8,3,1,5,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,1,5,6,7,8,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>16 [2,3,8,1,4,7,5,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,1,6,4,5,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,1,7,4,5,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,7,1,6,4,8,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [2,3,5,1,8,7,4,6]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>24 [2,3,8,1,6,7,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,8,4,1,3,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,4,1,3,5,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,6,4,1,3,8,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,8,4,1,3,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,4,1,3,7,8,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [2,8,5,1,3,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,5,1,3,4,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,7,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,5,1,3,8,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,8,5,1,3,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,8,1,3,7,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,6,5,1,3,7,8,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [2,5,4,1,8,3,6,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [2,5,4,1,7,3,8,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>24 [2,8,4,1,6,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,1,7,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,4,1,6,3,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,5,1,6,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,1,7,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,8,1,6,3,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,5,1,6,3,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,5,4,1,6,8,3,7]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>24 [2,5,4,1,8,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [2,8,4,1,6,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,1,6,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,5,4,1,6,7,8,3]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>32 [7,3,4,1,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,3,4,1,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,3,4,1,2,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,4,1,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,3,5,1,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,3,7,1,2,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,3,5,1,2,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,3,5,1,2,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,8,1,2,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,5,1,2,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,5,4,1,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,8,4,1,2,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,4,1,2,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,8,5,1,2,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,5,1,2,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,5,4,1,2,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,5,4,1,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,4,1,2,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,1,2,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,5,4,1,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,3,4,1,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,3,4,1,7,2,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [8,3,4,1,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,1,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,4,1,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,5,1,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,1,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,1,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,5,1,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,4,1,6,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,1,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,5,4,1,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,3,4,1,6,8,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [5,3,4,1,8,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [8,3,4,1,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,1,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,1,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,4,1,6,7,8,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [2,3,4,8,1,7,5,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,8,5,1,4,6,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,7,5,1,4,8,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [2,3,8,6,1,4,5,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,7,6,1,4,8,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [2,3,6,5,1,8,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>24 [2,3,8,5,1,7,4,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,6,1,7,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,6,5,1,7,8,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>32 [2,8,4,5,1,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,4,5,1,3,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,4,6,1,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,4,8,1,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,7,4,6,1,3,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,6,5,1,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,8,5,1,3,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,8,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,6,5,1,3,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,6,4,5,1,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,8,4,5,1,7,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,6,1,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,6,5,1,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,4,5,1,7,8,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [7,3,4,5,1,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,4,6,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,6,5,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,5,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,6,1,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,6,5,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,4,5,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,3,4,5,1,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,3,4,5,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,6,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,5,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,5,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,4,5,1,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [2,3,4,8,6,1,5,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,7,1,5,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,7,6,1,8,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>32 [2,3,8,5,6,1,4,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,5,7,1,4,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,7,6,1,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,7,5,6,1,8,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [2,8,4,5,6,1,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,5,7,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,7,6,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,4,5,6,1,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [8,3,4,5,7,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,7,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,5,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,4,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,3,4,5,8,7,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>32 [2,3,4,8,6,7,1,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,8,5,6,7,1,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,8,4,5,6,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [9,1,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,4,5,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,1,2,3,4,5,8,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,4,7,5,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,4,8,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,4,7,5,9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,1,2,3,4,7,8,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,6,4,5,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,9,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [9,1,2,3,6,8,4,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,5,3,4,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,8,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,1,2,8,3,4,5,9,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>10 [8,1,2,5,9,3,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [8,1,2,9,6,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [9,1,2,8,6,7,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,5,6,7,8,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,4,2,3,5,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,1,4,2,3,5,8,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,8,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,3,4,5,9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,1,4,5,2,3,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,4,8,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,6,5,2,3,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,8,6,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,1,8,9,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>36 [8,1,4,5,6,2,3,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,1,4,9,7,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [8,1,9,5,6,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,1,9,7,6,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,1,4,5,6,7,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,4,8,6,7,2,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,8,5,6,7,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,4,5,6,7,2,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,1,4,5,6,7,8,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [3,1,4,5,6,7,8,9,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>64 [2,9,1,3,4,5,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,8,1,3,4,5,6,9,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>14 [2,9,1,3,4,5,8,6,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,1,3,4,8,5,6,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,8,1,3,9,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>35 [2,9,1,3,8,7,4,5,6]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,1,3,6,7,8,4,5]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,4,1,6,3,8,5,9,7]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>54 [2,9,1,8,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,8,1,9,7,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>42 [2,9,1,8,6,7,3,4,5]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,1,5,6,7,8,3,4]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,4,1,5,6,7,8,9,3]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>96 [9,3,1,2,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,3,1,2,4,5,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,3,1,2,4,5,8,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,3,1,2,6,7,8,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,4,1,2,3,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [5,9,1,2,3,4,6,7,8]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [5,8,1,2,3,4,6,9,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0]=>70 [9,6,1,2,3,4,5,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,6,1,2,3,4,5,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,7,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,9,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,7,1,2,3,4,5,9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,6,1,2,3,4,8,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,1,2,3,4,8,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [5,9,1,2,3,8,4,6,7]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [9,6,1,2,3,7,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,1,2,3,7,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,6,1,2,3,7,4,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,6,1,2,3,7,8,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,4,1,2,9,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [5,9,1,2,6,3,4,7,8]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [9,7,1,2,6,3,8,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,1,2,6,7,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,3,1,8,2,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,4,1,5,2,3,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,4,1,8,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,9,1,5,2,3,4,7,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [9,7,1,6,2,3,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,7,1,9,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [8,7,1,6,2,3,4,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,4,1,6,2,8,3,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,1,6,2,7,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,1,7,6,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,9,1,5,6,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,3,1,5,6,7,8,2,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,4,1,5,6,7,8,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,9,4,1,3,5,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,5,1,3,4,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,6,9,1,3,4,5,7,8]=>[1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>175 [2,9,7,1,3,4,5,6,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,8,1,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,4,1,6,3,5,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,8,4,1,9,3,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>35 [2,9,4,1,6,3,8,5,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,8,1,7,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,5,1,6,7,8,3,4]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [9,3,4,1,2,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,3,7,1,2,4,5,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,3,8,1,2,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,5,4,1,2,3,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,5,4,1,2,3,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [6,9,4,1,2,3,5,7,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [6,8,4,1,2,3,5,9,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>42 [9,7,4,1,2,3,5,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,4,1,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,9,5,1,2,3,4,7,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [6,8,5,1,2,3,4,9,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>42 [8,7,5,1,2,3,4,9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [6,7,9,1,2,3,4,5,8]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>126 [6,9,8,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [9,7,8,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,7,8,1,2,3,4,9,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0,0]=>72 [9,8,5,1,7,2,3,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,8,9,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,5,1,6,2,3,9,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>14 [9,3,4,1,8,7,2,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,3,4,1,6,7,2,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,5,4,1,8,7,2,3,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,5,4,1,6,7,2,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,3,5,1,6,7,8,2,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,5,4,1,6,7,8,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,3,4,6,1,7,8,9,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>96 [2,9,4,5,1,3,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,8,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,7,8,9,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>216 [2,8,9,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>49 [2,9,6,5,1,7,8,3,4]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [9,3,4,8,1,2,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,3,4,8,1,2,5,9,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0]=>10 [7,3,8,9,1,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>36 [9,8,4,5,1,2,3,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,8,4,6,1,2,3,9,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>14 [9,8,6,5,1,2,3,4,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,8,9,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,6,5,1,2,3,9,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>14 [8,3,9,6,1,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,3,6,5,1,7,2,9,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,6,4,5,1,7,2,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,3,4,6,1,7,8,2,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,3,4,5,9,1,6,7,8]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>40 [2,3,4,5,9,1,8,6,7]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>40 [2,3,4,5,7,1,8,9,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>96 [2,8,4,5,6,1,3,9,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>14 [2,8,9,5,7,1,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>49 [2,8,9,7,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>49 [2,9,7,5,6,1,8,3,4]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [8,3,4,5,6,1,2,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,3,4,7,6,1,2,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,3,9,7,6,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,3,7,5,6,1,2,9,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,7,4,5,6,1,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,9,4,5,6,1,2,3,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,7,4,5,6,1,2,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,3,4,5,6,1,8,2,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,3,7,5,6,1,8,2,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,3,4,5,6,9,1,7,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>64 [2,3,4,5,6,8,1,9,7]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>96 [2,3,4,5,9,7,1,6,8]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>40 [2,3,4,5,9,8,1,6,7]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>40 [2,9,4,5,6,7,1,3,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,4,5,6,8,1,3,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,4,5,8,7,1,3,6]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,4,8,6,7,1,3,5]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,8,5,6,7,1,3,4]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,8,4,5,6,7,1,9,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>14 [9,3,4,5,6,7,1,2,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,3,4,5,6,8,1,2,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,4,5,6,7,1,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,6,7,1,9,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [2,3,4,5,6,7,9,1,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>96 [2,3,4,5,6,9,8,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>64 [2,3,4,5,9,7,8,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>40 [2,9,4,5,6,7,8,1,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [9,3,4,5,6,7,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,3,4,5,6,7,8,9,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>128 [3,5,2,6,1,4,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>18 [3,5,2,6,4,1,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>18 [3,5,2,7,4,8,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [3,5,2,7,4,8,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [4,5,7,2,3,8,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,5,7,2,3,8,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,5,6,2,3,1,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>16 [4,5,6,2,1,3,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>16 [3,5,1,6,4,2,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>18 [4,5,6,1,3,2,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>16 [4,5,6,3,1,2,8,7]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>16 [4,5,7,3,2,8,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,5,7,3,2,8,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,6,7,3,8,2,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,6,7,3,8,2,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,6,7,3,8,1,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,5,7,3,1,8,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,5,7,1,3,8,2,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [3,5,1,7,4,8,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [2,1,5,7,4,8,3,6]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>18 [2,1,5,7,4,8,6,3]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>18 [3,5,1,7,4,8,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [4,5,7,1,3,8,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,5,7,3,1,8,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,6,7,3,8,1,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,6,7,3,8,5,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,6,7,3,8,5,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [5,6,7,8,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [5,6,7,8,1,3,4,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [4,6,7,1,8,3,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,6,1,7,8,4,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [2,1,6,7,8,4,5,3]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [2,1,6,7,8,4,3,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [3,6,1,7,8,4,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [4,6,7,1,8,3,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [5,6,7,8,1,3,2,4]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [4,5,7,2,1,8,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,6,7,2,8,1,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,6,7,2,8,3,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,6,7,2,8,3,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,6,2,7,8,4,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [3,6,2,7,8,4,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [3,6,2,7,8,1,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [3,5,2,7,1,8,4,6]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [3,4,2,1,7,8,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>9 [3,4,1,2,7,8,6,5]=>[1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>9 [3,5,2,7,1,8,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [3,6,2,7,8,1,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [3,6,2,7,8,5,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [3,6,2,7,8,5,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [4,6,7,2,8,5,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,6,7,2,8,5,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,6,7,2,8,1,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,5,7,2,1,8,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,5,7,1,2,8,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [3,5,1,7,2,8,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [2,1,5,7,3,8,6,4]=>[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>18 [2,1,6,7,8,3,5,4]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [3,6,1,7,8,2,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [4,6,7,1,8,2,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [5,6,7,8,1,2,4,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [5,6,7,8,2,1,4,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [5,6,7,8,2,4,1,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [5,6,7,8,2,4,3,1]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [5,6,7,8,1,4,2,3]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [4,6,7,1,8,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,6,1,7,8,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [2,1,6,7,8,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [3,6,1,7,8,5,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [4,6,7,1,8,5,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [5,6,7,8,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [5,6,7,8,4,1,3,2]=>[1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [6,5,8,7,3,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,6,7,4,5,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [1,6,7,4,5,2,3,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [3,5,4,7,6,8,1,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [4,5,3,7,8,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [5,4,3,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,4,8,3,7,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,8,4,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,3,4,8,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,5,6,8,7,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [4,2,5,6,8,1,7,3]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [5,2,4,8,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,8,4,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,1,8,4,5,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,1,4,8,6,2,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,3,2,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [5,1,3,8,2,6,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,1,8,3,2,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,1,3,2,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,3,1,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,2,8,3,1,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,2,3,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,3,8,2,1,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,4,2,8,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,5,2,7,8,1,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [1,6,7,3,2,5,4,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [3,6,7,2,1,8,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [7,8,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,5,8,7,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,4,1,8,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,4,8,1,7,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,3,1,8,2,7,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,1,2,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,2,1,3,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [5,2,1,8,3,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,8,1,3,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,3,1,2,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>1 [5,3,1,6,2,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [6,3,1,5,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [7,3,1,5,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,5,1,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,5,1,2,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,5,1,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,4,6,1,2,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [2,1,6,5,3,4,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [3,6,1,5,2,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [4,6,5,1,2,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [5,6,4,1,2,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [6,5,4,1,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [7,5,4,1,2,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,4,1,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,1,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,4,1,8,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [5,7,4,1,2,8,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [4,7,5,1,2,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,7,1,5,2,8,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [2,1,7,5,3,8,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [2,1,8,5,3,7,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,8,1,5,2,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,1,2,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,1,2,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,4,1,7,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,6,7,1,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,1,7,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,1,6,7,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,1,8,6,7,3,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,6,8,3,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [3,7,1,6,8,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,6,1,8,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,7,6,8,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,4,7,1,2,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,4,7,1,8,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,4,6,1,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,6,1,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,6,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,6,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,1,7,8,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,3,1,7,2,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [4,3,1,2,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>3 [2,1,4,3,8,7,5,6]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [3,4,1,2,8,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,3,1,8,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,3,1,8,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,4,7,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,8,1,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,4,8,1,2,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,8,1,2,7,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,1,8,2,7,4,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [2,1,5,8,3,7,4,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [2,1,6,8,7,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [3,6,1,8,7,2,4,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,8,1,7,2,3,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,6,8,7,1,2,3,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [7,5,8,6,1,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,5,7,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,7,8,1,6,2,3,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [3,7,1,8,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,1,7,8,6,3,4,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [2,1,8,7,6,3,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,8,1,7,6,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,7,1,6,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,1,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,5,1,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,4,7,3,8,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,4,7,3,5,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,4,7,2,5,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,4,2,7,6,1,3,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,4,3,7,6,8,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,4,3,7,8,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [6,4,8,3,5,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,4,3,8,6,7,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,4,3,6,8,7,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,4,2,6,8,1,7,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,4,2,8,6,1,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,4,8,2,5,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,4,2,8,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,2,1,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [5,3,2,8,1,6,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,3,8,2,1,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,3,8,2,1,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,3,2,8,1,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,4,2,7,8,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,3,2,7,1,8,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,3,2,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [6,3,7,2,1,5,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,3,7,2,1,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,3,7,2,1,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,4,7,2,8,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,5,7,8,2,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,5,8,7,2,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,7,2,1,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,3,7,2,1,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,3,7,2,1,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,4,2,8,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [7,8,4,2,6,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,3,8,2,1,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,3,2,8,1,7,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,2,1,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,3,2,1,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [5,3,2,8,1,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,3,8,2,1,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,3,8,2,1,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,3,2,1,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [7,8,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,1,8,4,7,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,4,7,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,3,2,7,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,1,8,3,2,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,1,3,2,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,1,2,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,4,6,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,3,1,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,1,8,2,3,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,2,3,7,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,1,2,8,3,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,2,1,8,3,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,8,1,3,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,8,3,1,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,8,4,7,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,8,4,7,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,6,8,4,7,5,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,6,8,4,7,1,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,6,8,3,1,7,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,6,8,1,3,7,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [3,5,4,8,7,6,1,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [5,3,4,8,7,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,2,4,8,7,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,2,3,8,1,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,1,3,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,1,2,3,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,4,2,3,8,7,6,5]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,1,3,2,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,3,1,2,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [6,3,8,1,2,7,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,3,1,8,2,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,3,8,2,7,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,4,8,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,4,1,8,7,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,4,8,1,7,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,7,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,6,8,7,3,4,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,8,7,2,1,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [4,5,1,8,7,2,6,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,1,5,8,7,2,6,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,6,8,1,2,7,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,6,8,2,1,7,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,8,2,7,1,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,8,3,7,5,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,5,3,8,7,6,1,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,5,2,8,7,1,6,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,5,2,8,1,7,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,1,4,2,8,7,6,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [4,2,5,8,7,1,6,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,3,5,8,7,6,1,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,4,5,8,7,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [4,1,3,2,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>1 [6,1,3,2,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [7,1,3,2,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,3,2,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,2,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,2,5,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,4,2,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [2,1,6,3,5,4,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [6,2,5,1,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,2,6,1,4,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [5,2,7,1,4,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,2,8,1,4,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,8,1,4,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,7,1,4,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [7,2,6,1,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,5,1,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,1,7,2,5,4,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,1,7,3,5,4,8,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [2,1,8,3,5,4,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,1,8,2,5,4,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,8,2,5,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,2,5,1,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,1,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,3,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,1,4,3,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,3,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,3,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,6,1,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,8,2,6,3,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,8,2,6,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,1,8,2,6,4,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,1,8,3,6,4,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,3,6,4,8,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,1,7,2,6,3,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [7,2,6,1,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,2,7,1,5,3,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,2,8,1,5,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,1,5,2,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,5,2,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,1,4,2,7,3,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [8,1,4,2,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,2,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,3,2,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,3,2,7,4,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [5,1,3,2,7,4,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [2,1,4,3,8,5,7,6]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [3,1,4,2,8,5,7,6]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [4,1,3,2,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [5,1,3,2,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,1,3,2,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,4,7,1,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,8,1,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,3,7,1,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,2,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,1,4,2,8,3,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [3,1,5,2,8,4,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [4,1,6,2,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [5,1,6,2,8,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [6,1,5,2,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,3,7,1,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,1,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,7,3,8,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,2,8,3,7,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,3,7,2,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,8,3,7,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,8,3,7,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,1,8,4,7,2,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,1,8,4,7,3,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,4,8,3,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [4,1,7,3,8,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,1,7,3,8,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [7,3,8,2,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,2,6,3,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,3,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,3,6,2,8,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,7,3,8,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,7,3,8,2,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [7,4,2,5,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,2,5,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,3,1,6,8,2,4,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,6,2,8,1,3,4,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [7,4,5,3,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,5,3,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,4,8,3,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,4,8,3,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,4,1,8,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,4,5,3,1,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,7,1,5,8,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,3,7,8,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [7,5,8,2,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,5,8,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,5,1,7,8,3,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [7,4,1,5,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,4,3,8,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,4,8,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,4,8,3,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,6,7,3,8,4,2,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [5,6,7,3,1,8,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [5,6,1,7,3,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,1,6,7,3,8,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [6,4,7,1,8,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,7,8,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,2,8,4,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,2,8,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,1,7,4,8,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,6,1,7,3,2,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [5,6,7,3,2,1,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [5,6,7,3,2,8,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [5,6,2,7,3,8,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,6,2,7,3,1,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [5,6,2,1,7,3,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [6,1,7,4,2,8,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,7,2,1,8,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,5,8,2,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,3,1,8,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,1,5,2,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [7,4,2,5,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,7,4,2,1,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,4,2,8,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,4,2,8,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [3,6,7,2,8,4,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,6,7,2,8,4,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,6,7,2,1,8,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [5,7,3,8,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,4,7,8,2,1,5,6]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [3,7,8,1,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,4,7,8,2,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [5,7,3,8,2,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,6,7,2,8,5,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,6,7,8,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [3,6,7,8,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [6,4,7,8,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,4,7,8,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [4,1,5,7,8,2,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>72 [5,3,7,8,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [6,7,2,8,5,1,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,4,1,7,8,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,1,6,2,7,8,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [5,6,2,1,7,8,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [5,6,2,7,1,8,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,6,2,7,8,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [5,6,7,2,8,4,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [5,6,7,2,1,8,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [5,6,1,7,2,8,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,1,6,7,2,8,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [6,4,7,1,8,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [3,6,7,1,8,5,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [6,7,8,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,3,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [4,6,7,8,1,5,3,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [5,1,6,7,8,4,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [5,6,1,7,8,4,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [5,6,7,1,8,4,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [8,6,1,3,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,5,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,6,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,3,8,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,4,5,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,4,5,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,5,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,4,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,1,3,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,2,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,6,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,5,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,5,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,5,8,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,3,6,7,2,8,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [4,3,6,7,2,8,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [4,5,3,7,1,8,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [7,5,8,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,3,8,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,5,8,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,3,6,7,8,1,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [1,6,4,7,8,3,5,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [6,4,7,8,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [3,5,6,7,8,4,1,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>384 [3,1,5,6,7,8,4,2]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>81 [4,6,1,7,8,3,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [3,6,7,1,4,8,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [6,2,4,1,7,8,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [2,6,7,1,4,8,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [4,3,6,7,8,1,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [1,5,3,6,7,8,2,4]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>27 [3,5,6,7,8,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>384 [3,5,6,7,8,2,4,1]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>384 [5,2,7,1,3,8,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,3,1,7,8,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [4,5,2,7,8,1,3,6]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [4,2,6,7,8,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [4,2,6,7,8,3,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [3,6,2,7,4,8,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [3,6,2,7,4,8,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [3,7,4,2,1,5,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [4,7,2,1,3,5,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [7,8,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,3,2,7,1,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [3,6,2,7,1,8,5,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [6,7,3,8,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,4,7,8,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [4,6,2,7,8,1,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [7,4,5,8,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,1,5,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,8,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,8,2,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,7,1,3,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,3,1,7,8,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [4,6,1,7,8,5,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [5,1,2,6,7,8,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [5,2,6,7,8,4,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [5,2,6,7,8,4,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [2,5,6,7,8,4,1,3]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>256 [1,5,2,6,7,8,4,3]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>27 [1,6,4,7,8,5,2,3]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [2,6,7,1,3,8,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [6,7,8,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,3,8,5,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,4,7,8,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,4,3,7,2,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [8,4,3,6,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,2,6,5,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,7,6,2,4,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [1,7,5,4,8,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [8,7,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,4,2,1,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,6,2,4,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,6,5,1,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,2,8,6,5,1,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,2,6,5,8,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [6,1,5,4,2,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,1,5,4,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,1,5,4,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,7,4,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,6,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,8,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,1,7,8,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,1,7,2,8,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [4,1,2,7,8,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,2,1,7,8,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [3,2,8,7,1,5,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,8,2,7,1,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,6,1,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,6,8,4,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,6,7,8,3,4,5,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [8,6,7,1,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,1,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,8,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,7,2,8,1,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,6,2,8,3,1,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,6,8,2,3,1,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,5,8,3,2,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,5,8,3,1,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,5,7,3,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,7,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,3,8,2,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,2,5,4,8,1,6,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [4,5,2,3,1,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [6,4,3,1,2,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,4,3,1,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,3,1,7,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,3,7,6,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [8,5,1,3,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,3,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,1,3,2,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,2,6,1,4,8,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [4,7,2,1,8,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,7,1,2,8,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,1,8,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,6,1,8,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,1,7,3,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,8,7,3,5,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,7,8,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [8,7,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,1,7,2,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,1,2,7,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,1,7,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,2,8,1,7,6,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,2,8,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,1,8,2,7,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,1,8,7,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,8,6,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,7,6,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,6,2,4,8,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [4,5,1,2,3,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [6,1,5,2,4,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,5,1,2,3,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,4,1,2,3,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,4,1,2,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [6,4,1,7,2,3,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,4,1,8,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,1,2,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,1,2,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,5,2,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,5,3,8,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,8,5,3,7,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,5,2,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,2,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,2,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,7,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,6,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,6,1,7,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,7,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,7,3,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,6,8,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,1,6,8,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,1,8,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,7,1,2,8,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,1,2,7,8,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [4,1,2,8,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,2,8,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,1,8,2,7,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,8,7,2,4,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,7,1,6,2,3,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,8,1,6,2,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,7,2,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,2,7,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,2,7,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,8,2,7,4,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,5,8,3,7,4,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,6,8,7,3,4,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,1,8,7,2,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,1,7,2,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,7,1,2,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,7,1,2,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,1,2,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,6,1,2,3,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [7,8,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,8,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,8,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,8,7,6,3,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,7,6,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,6,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,5,4,7,1,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [3,1,5,4,7,2,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [3,1,5,4,7,6,8,2]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [3,2,5,1,7,4,8,6]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [3,2,5,1,7,6,8,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [3,1,5,2,7,6,8,4]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>18 [8,3,5,2,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,5,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,5,2,4,1,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [8,3,7,5,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,5,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,6,5,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,4,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,5,1,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,4,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,6,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,4,3,2,1,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [8,5,7,4,3,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,8,3,2,7,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,6,3,2,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [1,4,6,7,3,2,8,5]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>48 [5,4,7,3,1,8,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [3,7,5,1,4,2,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [5,7,4,2,1,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [8,5,7,4,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,5,1,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,7,5,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,3,8,7,1,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [1,7,4,8,6,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [8,4,7,6,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,5,8,7,4,1,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,8,1,6,7,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,6,4,1,8,7,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [8,2,6,1,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,6,8,1,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [3,7,1,6,4,8,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [1,3,6,7,5,8,2,4]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>48 [3,7,6,5,8,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,6,8,5,7,2,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,2,7,6,8,3,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,2,6,8,7,3,5,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,8,2,4,6,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,2,6,4,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,2,6,1,4,7,8,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [5,3,7,2,1,8,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,7,3,2,1,5,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [8,7,6,1,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,3,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,7,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,8,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [8,7,6,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,4,8,1,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [4,6,8,2,1,7,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,4,1,5,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,7,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,7,1,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,1,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,1,8,7,2,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [8,1,2,5,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,5,7,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,7,8,5,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [8,2,5,7,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,6,8,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [1,7,2,5,8,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,4,8,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [3,7,8,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [2,7,8,6,1,3,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [8,7,6,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,6,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,3,1,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [4,6,3,5,1,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [8,5,3,7,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,4,5,7,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,2,4,5,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [2,6,1,4,5,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [6,1,2,4,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,6,3,2,1,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [5,4,3,6,1,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [6,3,1,4,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,3,7,4,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,7,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,7,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,7,4,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,8,4,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [2,1,8,7,5,3,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,6,8,5,7,3,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [5,6,3,8,1,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [7,6,1,4,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,7,6,4,5,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [8,5,7,4,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,8,4,7,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,5,8,4,7,6,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,4,8,3,5,6,7,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,1,8,3,5,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,4,2,5,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,4,1,3,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,8,4,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,5,3,8,4,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,1,5,8,4,6,7,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [2,1,4,8,3,6,7,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [6,4,3,8,2,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,3,8,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,3,1,2,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,8,2,5,6,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,3,8,1,5,6,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [4,3,8,2,5,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,2,3,5,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,2,1,5,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,1,3,5,6,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,2,3,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,3,2,4,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,1,8,3,4,6,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,8,5,4,3,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,7,3,8,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [7,1,8,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,8,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [8,7,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,7,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,7,8,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,6,3,8,4,2,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [4,8,3,6,2,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,6,3,1,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,3,8,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,3,6,2,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,3,5,1,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,2,6,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,3,8,6,2,7,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,5,8,4,7,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,8,2,4,7,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,6,4,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,1,6,4,5,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,7,3,6,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [2,1,7,6,5,8,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [2,1,8,5,3,6,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,8,3,5,2,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,5,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,1,4,2,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,1,5,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,1,2,5,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,4,8,1,5,6,7,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,4,1,8,5,6,7,3]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [4,1,2,8,5,6,7,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [8,4,2,1,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,4,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,3,2,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,3,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,3,5,4,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,3,4,1,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,1,8,5,6,7,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,4,8,5,6,7,2]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [6,5,3,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,3,7,4,5,8,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,7,2,4,5,8,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,1,7,4,8,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,6,3,7,1,8,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [3,8,7,4,5,2,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,5,4,8,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,1,4,8,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,6,3,1,8,2,7,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [4,6,3,5,8,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,6,3,8,1,2,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,7,8,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,2,5,1,6,8,4,7]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>18 [3,5,8,2,4,7,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,2,5,8,3,7,6,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [5,4,2,1,6,8,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [6,3,5,1,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,4,3,2,7,1,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [5,4,3,8,2,7,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,6,2,8,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [6,4,3,1,7,2,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [7,5,4,3,1,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,4,7,5,8,3,2,6]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [7,1,3,5,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,5,8,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,8,5,7,4,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,5,8,7,1,4,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [6,4,3,8,1,7,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,3,7,1,8,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,8,3,7,6,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,7,6,4,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,8,6,5,3,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,5,8,6,3,7,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,6,1,8,7,3,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,8,7,3,1,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,2,8,7,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,6,2,8,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,1,6,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,6,4,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,7,1,6,3,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,1,7,5,3,2,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [7,6,5,3,2,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,3,2,8,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,2,6,3,8,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,2,7,6,3,1,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,5,2,1,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [5,2,7,4,1,8,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,7,2,6,3,1,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [2,4,8,6,3,7,5,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,8,6,2,4,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,3,6,2,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,6,7,2,1,4,8,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [4,3,7,8,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [8,3,7,1,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,2,5,7,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,3,6,2,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,6,2,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,8,2,1,6,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,2,6,8,1,7,5,3]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [5,4,8,2,7,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,8,1,5,7,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,7,1,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,2,6,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,6,2,7,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,1,7,5,2,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,1,6,8,2,7,4,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,5,2,8,1,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,2,7,1,8,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,8,2,7,6,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,2,8,7,5,4,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,6,2,1,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,1,7,2,8,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,5,1,8,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,7,1,8,6,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [7,8,3,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,4,6,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,7,5,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,1,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,2,7,3,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [7,4,2,6,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,4,2,6,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,2,6,3,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,7,6,2,3,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [1,7,5,2,8,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,8,5,2,3,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,6,2,3,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,6,3,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,2,8,6,4,1,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,1,5,2,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,8,5,2,7,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,7,2,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,6,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,8,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,2,1,7,8,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [3,2,8,7,1,4,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,8,7,2,1,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,7,6,8,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,8,2,3,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,5,7,2,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,2,8,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,4,2,3,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [4,5,2,3,1,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [5,4,2,3,1,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [6,4,2,1,3,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,4,2,1,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,2,1,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,2,7,3,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [8,5,1,2,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,2,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,1,2,3,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,2,6,1,4,8,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [4,7,2,1,8,3,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [7,6,1,8,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,1,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,8,7,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,7,8,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,8,1,6,2,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,1,7,2,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,1,7,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,2,8,1,7,4,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,1,8,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,1,8,2,7,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,1,8,7,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,1,7,6,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,6,2,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,3,5,1,2,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,3,7,5,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,7,5,1,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,5,2,7,1,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [8,5,2,7,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,1,5,4,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [6,4,3,5,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,7,4,6,2,8,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [8,1,4,7,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,7,8,5,2,1,6]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [2,1,8,5,7,3,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,6,3,5,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,2,4,6,7,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,4,8,6,5,7,1,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [7,5,4,8,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,4,6,8,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [4,1,6,3,8,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,7,4,2,8,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [7,4,1,3,5,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,5,8,4,1,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,5,3,7,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,4,8,3,7,6,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [7,4,3,8,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,3,7,4,1,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [8,3,1,2,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,8,2,7,6,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,3,8,1,6,7,5,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [4,3,7,2,6,8,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,7,2,3,8,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,8,2,1,7,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,1,3,6,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,8,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [8,7,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,7,2,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,3,8,7,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,3,8,7,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,3,6,1,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,5,8,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,3,4,1,8,5,7,6]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [8,3,5,6,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,6,1,8,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,6,2,8,7,4,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [7,8,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,6,5,4,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,6,4,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,6,1,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,1,8,6,5,7,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,5,3,6,8,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [6,7,3,5,2,1,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,1,4,2,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,7,4,1,6,5,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [4,6,1,2,8,7,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,4,1,5,8,7,6,3]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>24 [4,1,2,5,8,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [6,4,2,1,5,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,5,2,4,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,3,2,6,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,5,4,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,3,4,1,5,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [4,3,1,5,7,6,8,2]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>12 [3,1,4,5,6,8,7,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>24 [6,5,2,1,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,5,2,7,4,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [8,5,2,7,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,5,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,7,5,2,8,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,6,3,2,4,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [3,6,2,4,1,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [2,6,1,3,5,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [6,7,2,3,4,8,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [8,7,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,7,3,8,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [7,6,1,3,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,6,7,4,1,8,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [5,6,3,7,4,8,1,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [2,1,8,7,4,3,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,8,3,7,4,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,1,3,5,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,8,7,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,6,3,1,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,6,3,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,1,6,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,1,2,7,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,4,2,5,7,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,5,2,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,5,3,2,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,5,2,4,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,4,1,8,7,6,5,3]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [8,4,2,1,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,1,8,6,7,5,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,4,8,6,5,7,2]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [7,1,6,5,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,7,5,6,8,4,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,1,6,8,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [8,6,2,5,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,2,1,8,7,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [4,6,2,5,8,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [7,5,2,6,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,2,8,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,6,2,8,4,3,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [4,7,2,8,1,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [8,7,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,7,1,5,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,7,8,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [7,1,8,5,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,8,4,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [5,7,3,8,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [2,1,7,8,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [2,1,5,8,4,6,3,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [6,5,3,8,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,5,8,4,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,4,8,3,5,6,1,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,1,8,3,6,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,4,8,1,7,2,5,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [8,4,1,3,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,8,2,4,7,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,3,8,1,4,6,7,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [4,3,8,2,5,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,3,8,4,2,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,3,8,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,1,4,8,3,5,7,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [6,8,2,4,3,5,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,3,5,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,2,1,4,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,1,3,4,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,1,6,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,1,6,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,6,7,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,5,8,6,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,8,5,3,4,7,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,3,4,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,3,4,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,6,1,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,3,6,1,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,6,7,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,3,4,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,3,4,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,3,4,6,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,5,2,7,3,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,5,2,8,3,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,2,8,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,5,8,2,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,5,8,2,1,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,2,7,3,1,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,5,2,7,3,4,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [5,1,2,8,6,4,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,6,8,7,3,4,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,5,2,8,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,1,2,3,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,1,2,3,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,1,2,3,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,1,2,3,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [7,1,6,8,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,1,2,8,4,5,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,6,8,2,3,1,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,5,8,2,4,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,2,4,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,5,2,8,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,2,8,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,2,7,3,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [5,1,6,8,7,3,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [7,1,6,8,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,7,8,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,1,8,3,6,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,8,3,6,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,1,4,8,6,2,7,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [3,1,4,8,6,5,2,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [7,1,6,5,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,1,6,7,8,3,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [4,5,2,6,3,7,1,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>24 [4,5,2,7,3,8,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [3,7,5,6,8,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,6,5,2,8,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,1,2,5,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,1,6,5,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,2,6,3,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,1,2,3,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>3 [4,5,2,7,3,8,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [4,1,6,7,8,3,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [4,1,2,5,6,8,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>12 [7,8,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,4,1,2,5,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [2,4,8,1,5,7,3,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,3,8,1,7,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,3,1,4,7,2,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,8,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,1,5,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,5,6,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,2,1,7,5,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [2,1,8,7,5,4,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,3,7,1,6,4,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,1,2,5,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,3,1,8,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,2,1,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,4,3,7,5,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [4,3,8,7,5,6,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,1,7,5,6,8,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [3,7,2,8,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,8,1,7,6,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,8,5,7,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,5,8,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,6,8,5,3,1,4,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,7,3,8,4,1,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [5,2,8,1,4,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,6,7,2,8,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>192 [4,5,7,6,1,8,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [1,5,8,6,2,7,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,6,3,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,1,6,3,4,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [5,7,1,4,2,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,7,6,4,3,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,3,4,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,4,1,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,3,5,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,1,3,4,5,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,1,4,2,7,6,8,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [1,6,2,4,7,8,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [5,7,2,4,1,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,1,4,2,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,7,5,8,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,8,7,6,3,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,1,5,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,7,8,1,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [2,1,8,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,1,7,4,5,6,8,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [4,3,7,5,6,8,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,8,6,3,5,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,2,5,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,6,5,2,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,5,6,1,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,3,7,8,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,2,8,7,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,6,8,7,5,2,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [3,6,7,8,5,1,4,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [3,7,6,8,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,8,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,1,6,4,2,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [4,1,8,6,2,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,7,8,6,3,5,1,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [3,8,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,1,7,6,5,3,4,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [2,8,1,6,4,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,5,1,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,6,7,5,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,8,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [6,3,1,2,7,4,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,4,2,7,1,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,4,2,5,1,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,3,6,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,5,3,6,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,2,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,6,2,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,6,2,7,1,4,8,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [6,3,7,4,1,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [4,7,1,5,2,3,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [3,7,5,1,2,4,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [7,6,4,2,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,4,2,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,6,3,8,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,7,4,2,3,8,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,6,1,4,8,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,2,6,1,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,4,7,5,2,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [7,4,8,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,2,6,3,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,6,1,2,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,2,4,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,3,7,1,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,3,7,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,5,7,1,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,5,7,1,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,6,2,7,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,3,8,5,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,3,7,5,8,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [2,7,6,4,8,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,6,5,8,1,3,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [3,6,5,8,1,2,4,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,4,6,7,2,8,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [4,6,3,7,1,8,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [3,5,7,1,4,8,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [5,3,7,2,4,8,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,4,7,3,8,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [7,4,6,3,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,6,3,7,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,6,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,6,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,4,1,7,8,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [6,5,3,7,1,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,5,1,2,7,8,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,3,6,4,7,8,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [6,3,7,4,8,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [4,7,1,5,8,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [7,5,1,2,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,8,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,1,8,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,1,8,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,1,7,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,2,8,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,4,7,8,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,3,7,8,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [3,6,8,2,7,1,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,4,8,7,1,3,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,3,8,7,1,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,3,8,7,1,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,3,7,6,1,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,8,7,1,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,5,8,7,1,2,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,5,8,7,1,3,4,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,6,8,2,7,1,3,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,1,8,6,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [7,5,8,6,4,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,4,7,5,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,7,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,7,6,1,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,7,6,1,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,7,6,1,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,3,1,4,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [7,5,3,8,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,8,7,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,7,1,4,5,8,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [2,1,7,8,5,3,6,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,7,3,8,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [8,7,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,8,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [7,1,8,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,1,4,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,3,1,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,3,8,1,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,3,1,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,3,4,5,6,7,8,1,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>64 [2,3,4,5,6,8,9,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>144 [2,3,4,5,7,8,9,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>216 [2,3,4,6,7,8,9,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>324 [2,3,5,6,7,8,9,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>486 [2,4,5,6,7,8,9,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>729 [3,4,5,6,7,8,9,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>729 [2,3,4,5,6,7,8,9,10,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>256 [2,3,4,5,6,7,8,9,1,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>128 [2,3,4,5,6,7,1,8,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>32 [2,3,4,5,6,7,8,10,1,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>192 [2,3,4,5,6,1,9,7,8]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>16 [2,3,4,5,6,7,9,10,1,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>288 [2,3,4,5,6,8,9,10,1,7]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>432 [2,3,4,5,7,8,9,10,1,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>648 [2,3,4,6,7,8,9,10,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>972 [2,1,5,6,7,8,9,3,4]=>[1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>81 [2,3,5,6,7,8,9,10,1,4]=>[1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>1458 [1,4,5,6,7,8,9,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>243 [2,4,5,6,7,8,9,10,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>2187 [3,4,5,6,7,8,9,10,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>2187 [7,5,3,6,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,3,2,5,1,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,5,3,6,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,3,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,3,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,2,7,3,4,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [3,6,2,7,4,5,8,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [5,4,7,6,2,3,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,7,3,5,2,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [3,7,6,2,4,5,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [2,7,6,3,4,5,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [6,5,3,1,2,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,6,5,2,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,1,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,1,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,7,3,1,2,8,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,4,8,6,2,7,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,3,5,2,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,5,2,3,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,2,1,7,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,6,3,7,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,7,3,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,1,7,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,6,1,7,2,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,1,5,7,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,8,3,7,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,7,5,8,2,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [1,7,3,8,2,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [8,1,2,7,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,5,7,1,8,3,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [3,6,2,7,1,8,4,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [6,3,7,1,2,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [7,2,6,1,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,6,1,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,5,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,4,1,3,6,8,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [5,4,6,3,8,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [3,6,4,5,8,7,1,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,5,3,4,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,3,2,8,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,3,1,8,7,2,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,5,3,7,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,8,3,7,2,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,8,1,7,2,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,6,8,2,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,7,8,2,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [6,7,3,8,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,4,7,8,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,2,5,8,7,1,3,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,6,2,8,7,1,4,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,7,8,1,6,2,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [2,3,8,7,1,4,5,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [7,2,8,6,1,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,1,8,7,3,4,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,2,7,6,1,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,8,7,3,4,5,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,8,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [4,1,5,8,7,2,3,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [5,4,8,7,6,1,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,3,7,5,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,6,2,5,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,1,6,7,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,7,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,3,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,3,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,3,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,8,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,1,3,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,4,3,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,3,2,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,3,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,4,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,3,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,3,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,3,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,3,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,3,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,8,3,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,3,8,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,3,1,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [7,4,1,3,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,1,3,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,1,3,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,1,4,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,8,3,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,3,2,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,3,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,3,8,2,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,3,7,2,5,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [5,4,3,2,8,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,4,3,2,8,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,5,3,8,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,4,8,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,4,1,7,8,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,5,3,1,7,2,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,4,3,1,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,4,3,2,1,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [6,5,3,1,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,4,1,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,5,1,4,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,1,3,2,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,4,1,3,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,3,1,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,4,3,1,2,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,4,3,8,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,3,8,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,3,1,7,2,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,5,3,1,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,5,1,3,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,1,8,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,1,8,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,8,1,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,8,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,5,3,7,8,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,4,3,7,2,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,4,3,7,2,1,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [7,4,8,3,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,3,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,5,4,8,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,3,8,1,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,4,3,2,8,1,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,4,3,7,2,1,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,5,3,7,1,2,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,5,4,7,1,8,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,5,3,7,8,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,4,3,7,2,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,4,3,2,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [5,4,3,2,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [5,6,2,1,3,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [5,8,2,7,4,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,7,8,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [7,6,1,2,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,1,7,8,4,3,5,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [8,3,7,4,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,6,8,3,1,4,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [6,1,8,3,2,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,4,1,3,7,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,7,4,2,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,1,6,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,2,1,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,7,2,8,1,3,6,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [7,3,8,6,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,4,7,1,8,2,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [1,8,2,4,3,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,2,4,3,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,6,2,4,3,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,6,2,5,3,4,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,7,2,5,3,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,2,5,3,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,6,3,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,2,6,3,4,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,2,7,3,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,2,8,3,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,3,2,8,4,6,5,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,4,6,5,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,7,2,6,3,5,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,2,6,3,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,5,3,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,2,5,3,6,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,2,4,3,6,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,2,4,3,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,3,4,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,2,3,4,6,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,2,3,4,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,4,3,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,5,3,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,6,3,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,3,8,4,7,5,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,3,2,8,4,7,5,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,7,2,8,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,8,2,7,3,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,6,3,8,5,1,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,3,8,5,1,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,6,8,3,4,1,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,8,3,4,1,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,7,2,4,3,1,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [5,6,8,4,3,1,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,8,4,3,1,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,7,8,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,4,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,6,8,4,2,1,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,8,2,4,1,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [4,6,2,8,5,1,7,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,2,8,5,1,3,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,6,8,2,4,1,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,8,4,2,1,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,7,8,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,7,8,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,5,2,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [5,7,8,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,7,2,8,1,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [3,2,7,8,1,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [3,2,7,8,1,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [4,7,2,8,1,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [5,7,8,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,7,8,1,3,5,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,5,4,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [5,7,8,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,7,2,8,1,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [3,2,7,8,1,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [4,6,2,8,3,1,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,6,8,3,2,1,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,7,8,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,3,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,7,3,8,1,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,3,8,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,3,8,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,6,3,8,2,1,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,2,5,4,8,1,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [4,6,3,8,2,1,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,7,3,8,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,3,8,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,3,8,1,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [5,7,8,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,3,1,2,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,6,8,3,2,1,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [3,2,7,8,1,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [5,7,8,2,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,7,8,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,4,3,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,4,2,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,2,4,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [5,7,8,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [3,2,7,8,1,4,6,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [6,7,8,1,3,2,4,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,2,4,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,1,2,3,5,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [7,2,8,5,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,8,5,4,3,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,5,6,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,6,5,7,3,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,5,3,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,3,5,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,2,8,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,3,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,2,8,5,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,8,2,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,5,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,8,5,1,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,7,5,2,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [3,6,1,7,5,2,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [3,6,5,7,1,4,8,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [6,5,2,7,4,1,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [5,3,1,8,6,4,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,6,1,8,7,2,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [6,3,5,8,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,8,4,2,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,5,8,3,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,2,1,8,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [7,1,3,8,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,3,4,8,6,1,7,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,6,5,1,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,7,3,5,8,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [5,2,4,7,1,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [7,3,5,6,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,5,1,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,7,6,5,8,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [5,7,1,6,3,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,1,4,7,2,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [3,6,4,7,8,2,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [6,3,4,5,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [7,2,1,4,3,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,4,1,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,3,2,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,3,2,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,3,2,5,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [1,8,3,2,5,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,5,2,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,1,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,1,5,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,1,6,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,6,1,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,6,5,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,8,5,4,3,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,4,3,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,5,7,4,3,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,4,7,5,1,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,3,7,1,5,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,2,1,7,5,4,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [3,2,1,8,5,4,7,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,3,8,1,5,4,7,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,4,8,5,1,3,7,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,5,8,4,3,1,7,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,6,8,4,3,7,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,7,8,4,3,6,5,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [1,8,7,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,8,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,6,8,5,7,3,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,5,8,6,7,1,3,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,4,8,6,1,7,3,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,2,1,8,6,7,4,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,2,1,7,6,8,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,3,7,1,6,8,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,4,7,6,1,8,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,5,7,6,8,1,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [4,6,7,5,8,3,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [1,8,6,5,7,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,6,7,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,7,5,6,8,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,6,5,7,8,2,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [5,4,6,7,1,8,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [5,3,6,1,7,8,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [5,2,1,6,7,8,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [6,2,1,5,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,3,5,1,7,2,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,4,5,7,1,2,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,5,4,7,2,1,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [5,6,4,7,2,8,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [1,8,4,6,2,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,2,6,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,3,2,6,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,6,3,2,7,8,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [6,5,3,2,7,1,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,4,3,2,1,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,2,1,4,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,2,1,4,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,3,4,1,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [4,6,3,2,8,7,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,7,3,2,8,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [1,8,3,2,7,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,7,2,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,7,4,8,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,6,4,8,2,7,1,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,5,4,8,2,1,7,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,4,5,8,1,2,7,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [4,2,1,5,8,3,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [4,3,6,1,8,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,4,6,8,1,7,2,5]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [3,5,6,8,7,1,2,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [3,6,5,8,7,2,1,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,7,5,8,6,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [1,8,5,7,6,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,7,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,6,7,8,5,4,1,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [3,5,7,8,6,1,4,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [3,4,7,8,1,6,5,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [4,2,1,7,8,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [2,3,8,1,7,6,5,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,4,8,7,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,5,8,7,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,6,8,7,5,4,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [7,4,6,1,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,3,5,1,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,1,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,3,1,7,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,2,1,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,8,4,3,1,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,6,8,4,1,7,5,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,6,7,5,1,8,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [7,5,6,1,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,7,5,6,1,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [6,7,5,1,8,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,8,4,1,7,5,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,5,3,1,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [8,4,2,1,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,4,2,6,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,3,2,1,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [2,5,3,1,7,6,8,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>24 [2,8,4,1,6,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,5,1,6,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [4,7,1,6,5,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,8,2,6,5,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,1,2,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,1,2,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,1,2,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [6,7,1,5,8,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [2,7,6,1,5,8,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,3,5,1,7,6,8,4]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>36 [7,6,1,5,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,6,7,1,5,8,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [7,1,6,5,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,1,6,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,1,6,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,3,1,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [7,6,2,1,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,3,1,5,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,4,1,7,5,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,2,5,1,7,4,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [7,1,6,4,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,6,4,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,5,2,7,4,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [7,6,2,5,8,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,3,5,7,6,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,3,5,7,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,2,1,3,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [7,5,2,6,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,2,6,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,2,7,5,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [8,2,6,5,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,2,5,7,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,3,2,5,7,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,3,2,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [2,5,1,3,7,6,8,4]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>24 [2,8,3,5,7,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,2,3,5,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,1,3,5,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [8,3,5,7,6,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,2,3,7,6,8,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [10,8,9,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,9,4,5,6,1,2,3,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,8,5,6,9,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,8,4,5,9,1,2,3,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,7,4,5,8,1,2,3,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,8,3,4,9,1,2,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,7,3,4,8,1,2,5,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,10,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,8,10,4,5,6,1,2,3,7]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,5,6,8,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,4,5,8,1,2,3,6]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,6,10,4,5,7,1,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,3,4,8,1,2,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,6,10,3,4,7,1,2,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,6,10,5,7,8,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,6,10,4,7,8,1,2,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,5,10,4,6,7,1,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,6,10,3,7,8,1,2,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,5,10,3,6,7,1,2,4,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,6,10,2,7,8,1,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,5,10,2,6,7,1,3,4,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [8,1,2,4,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,5,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,4,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,2,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,8,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,6,3,8,4,5,7,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,3,2,1,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [7,3,1,4,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,1,5,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,7,8,5,6,1,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [3,7,8,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,8,4,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,8,2,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,6,2,8,4,5,1,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,5,8,7,1,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,4,5,1,7,8,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [7,4,1,2,3,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,4,1,3,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [2,6,4,8,3,7,5,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,6,5,8,7,3,4,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,2,5,1,7,3,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,5,2,1,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,5,6,7,8,3,4,1]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>256 [4,7,8,2,3,1,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,7,8,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [5,6,4,8,1,7,2,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,6,3,8,1,2,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [3,4,6,7,2,8,1,5]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>216 [5,2,7,8,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,1,2,7,8,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [4,7,1,8,6,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,1,2,8,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,6,8,1,2,7,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,8,7,1,5,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,7,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,1,6,3,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,3,6,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,7,2,8,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [1,7,3,4,8,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,2,7,1,8,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [7,8,2,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,5,7,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,2,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,2,7,1,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,7,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,2,4,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [1,6,8,3,7,4,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,3,4,7,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,2,4,8,1,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,8,7,2,3,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,1,7,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,5,7,2,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,2,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,4,2,7,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,7,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,5,4,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,7,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,2,4,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,4,1,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,4,7,2,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,7,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,8,4,3,7,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,8,7,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,1,7,3,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,5,7,3,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,3,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,4,7,1,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,1,7,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,7,1,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,2,6,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,6,7,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,7,1,6,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,5,7,1,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,5,1,7,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,3,1,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,7,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,3,7,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,6,2,8,1,7,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [1,8,7,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,8,5,7,2,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,3,7,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,2,7,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,7,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,4,5,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,3,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,1,5,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,3,1,5,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,2,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,2,1,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,4,2,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,5,4,2,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,3,2,5,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,5,4,3,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,5,4,1,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,5,4,1,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,1,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,1,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,1,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,5,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,5,3,7,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,3,2,5,1,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,1,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,1,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,7,6,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,7,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,7,6,4,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,3,2,7,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,2,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,2,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,5,4,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,5,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,2,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,2,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,5,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,5,4,7,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,3,2,7,6,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,3,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,5,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,5,1,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,7,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,7,6,3,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,3,2,7,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,5,1,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,5,1,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,4,1,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,3,1,8,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,5,1,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,4,1,8,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,2,1,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,3,2,1,8,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [2,6,4,1,7,8,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [2,6,5,1,7,8,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [4,5,7,1,6,8,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [6,5,1,2,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,1,2,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,3,1,2,8,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [4,3,1,2,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [6,1,2,5,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,1,3,4,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,5,6,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,6,1,5,7,8,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [7,4,1,6,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,2,3,1,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,2,1,5,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,3,1,5,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,2,4,1,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,5,1,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,3,1,4,8,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,2,1,4,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,2,1,3,8,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [7,4,1,3,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,1,3,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,6,7,1,4,8,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [7,6,1,4,8,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,2,1,3,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [2,6,1,4,7,8,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [7,1,4,6,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,3,5,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,1,2,4,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,4,5,2,3,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,6,7,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,5,2,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,2,6,3,4,1,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [5,2,7,3,4,1,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,2,8,6,7,3,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,8,5,7,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,7,3,4,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [3,1,7,4,5,2,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,1,7,4,5,3,8,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [3,1,8,6,7,4,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,8,6,7,3,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,5,7,3,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,2,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,8,5,7,3,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,1,8,5,7,4,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,1,7,3,6,2,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,2,7,3,5,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,2,8,4,7,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,4,7,3,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,6,2,5,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,2,5,1,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [5,2,4,1,7,3,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [6,2,4,1,7,3,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [8,5,7,3,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,4,2,8,6,7,5]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [8,5,6,2,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,8,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,5,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,1,5,2,8,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [4,1,6,2,8,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [5,1,6,2,8,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [7,3,8,4,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,7,3,8,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,1,8,4,6,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,8,5,6,2,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,1,8,5,6,2,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,1,7,4,8,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [4,1,7,3,8,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [7,3,8,4,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,4,5,1,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,6,2,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,8,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,4,5,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,5,4,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,4,2,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,5,8,4,3,2,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [2,6,4,8,3,7,1,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,4,8,5,3,1,6,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,5,8,1,4,7,6,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,8,4,7,6,1,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,6,2,5,3,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [4,7,5,1,3,6,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [7,5,3,6,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,7,3,6,1,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,1,7,5,2,4,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,3,1,2,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [1,4,7,2,5,3,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [4,6,7,8,3,5,1,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [3,6,1,8,4,2,5,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [1,6,7,5,8,2,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [3,5,6,7,8,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>384 [3,6,5,7,8,2,1,4]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [5,2,7,6,1,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [2,7,5,6,8,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,1,6,8,4,5,3,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [2,7,1,8,5,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [3,7,6,8,5,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [4,3,8,5,6,7,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,2,8,1,6,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,1,8,5,4,6,7,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,8,4,5,6,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,3,7,8,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [1,7,3,8,5,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [4,1,8,3,6,2,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,7,8,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [7,6,5,8,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,3,4,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,6,3,4,5,8,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [7,3,6,4,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,1,4,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,6,5,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,5,6,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,5,2,7,1,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,6,7,4,2,8,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [5,7,6,4,1,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,7,1,5,2,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,1,5,2,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,7,5,3,8,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [1,6,5,4,2,3,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [7,1,5,3,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,1,5,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,6,4,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,5,4,3,1,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,5,2,4,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,6,1,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,4,2,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,8,1,4,2,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,1,3,7,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,1,3,5,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,1,6,4,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,2,6,5,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,6,3,1,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,4,1,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,3,5,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,8,1,2,3,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,1,8,2,3,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,2,3,7,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,2,8,1,3,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,2,3,5,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,4,1,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,1,2,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,5,7,8,1,4,6,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [5,3,4,1,8,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,8,4,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,1,8,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,8,6,5,3,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,2,8,5,7,6,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,8,6,7,5,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,3,8,7,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,4,7,6,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,8,3,1,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,2,8,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,8,7,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,8,3,7,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,3,8,6,7,2,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,8,7,4,1,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,8,1,2,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,5,1,2,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,2,4,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,3,1,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,5,6,1,8,4,7,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [3,5,7,1,2,8,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [3,5,2,7,8,1,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [3,4,6,5,8,7,1,2]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [3,1,4,5,8,6,7,2]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [3,4,6,8,5,2,7,1]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [3,5,6,2,8,4,7,1]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [2,1,7,5,8,6,4,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [6,4,1,7,5,2,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,1,3,7,5,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [3,1,2,6,8,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [3,7,1,2,5,4,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [2,4,1,7,8,6,5,3]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>48 [3,4,7,5,1,8,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [2,7,4,1,5,8,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,3,7,1,5,8,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [5,2,8,1,3,7,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,1,6,8,3,4,7,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [2,6,8,3,1,5,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,8,6,4,1,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,6,4,8,5,1,7,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,3,7,4,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,2,1,7,8,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [4,7,2,3,6,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [5,2,7,3,6,8,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,7,4,6,2,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,3,4,6,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,3,8,4,6,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,5,2,4,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,5,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,3,6,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,4,8,1,7,3,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [8,4,1,3,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,3,1,7,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,8,4,7,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,4,7,3,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,8,3,1,7,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,3,8,2,7,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,1,8,2,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,3,8,1,2,6,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,7,4,1,6,2,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [8,5,4,1,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,8,4,2,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,5,3,1,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,4,5,1,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,2,7,8,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [4,5,7,8,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [4,7,2,5,8,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [8,1,3,4,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,2,4,6,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,5,6,8,2,7,1,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [2,4,5,6,8,1,7,3]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>162 [4,8,3,5,6,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,2,3,7,8,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [5,8,7,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,3,4,1,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,7,1,5,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,7,2,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,4,8,7,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,7,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,8,7,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,3,8,7,6,1,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,3,7,5,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,3,4,6,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,4,7,5,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,4,8,7,6,1,2,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,5,8,7,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,5,8,7,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,8,7,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,8,7,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,8,2,7,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,5,8,1,7,6,4,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,5,8,1,7,6,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,5,8,7,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,4,8,7,1,6,3,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,8,4,7,1,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,4,6,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,6,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,4,7,2,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,5,8,7,2,6,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,5,8,2,7,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [2,5,8,3,7,6,4,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [1,8,3,2,7,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,3,2,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,1,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,3,1,7,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,3,8,1,7,6,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [4,3,1,8,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,2,1,8,7,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,8,2,1,7,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,3,2,1,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,6,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,7,1,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,2,8,7,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,8,1,7,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,8,1,7,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,8,2,7,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,3,2,7,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,1,7,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,7,1,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,7,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,5,6,1,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,7,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,1,2,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,3,7,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,8,3,7,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,3,7,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,7,2,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,8,7,2,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,1,7,2,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,1,6,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,2,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,1,2,7,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,1,8,2,7,6,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,2,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [4,1,3,8,7,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,4,8,7,6,5,2]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,1,8,3,7,6,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,8,1,3,7,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,1,3,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,6,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,3,7,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,3,7,6,4,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,1,6,2,5,8,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [3,5,1,8,2,4,7,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [4,1,2,6,3,8,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [7,1,5,4,2,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,3,5,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,5,1,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,2,8,6,5,3,7,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,1,8,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,6,2,1,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,1,6,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,6,2,7,5,3,8,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [1,2,7,6,5,3,8,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [4,1,2,8,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,8,6,2,4,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,3,7,1,8,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [8,3,1,6,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,7,3,2,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,4,2,8,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [8,1,5,4,2,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,1,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,1,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,4,2,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,2,6,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,5,3,7,6,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,2,8,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,4,2,8,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,1,8,3,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,1,8,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,8,7,3,2,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,7,5,3,6,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,6,3,7,5,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,3,8,6,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,1,8,7,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,1,7,6,3,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,1,6,2,4,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,4,1,5,2,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [8,1,4,5,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,5,3,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,1,4,5,3,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,1,7,8,6,2,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [6,1,4,8,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,1,8,6,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,4,5,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,4,5,3,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,4,5,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,5,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,3,5,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,3,5,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,5,7,2,1,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [8,4,5,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,5,8,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,7,6,2,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,8,6,3,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,1,8,2,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,8,1,6,2,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,1,5,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,5,8,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,3,4,1,8,6,5,7]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [8,3,5,6,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,8,5,1,4,7,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,6,1,5,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,8,6,7,1,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,5,7,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,8,5,6,1,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [7,4,5,6,3,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,5,6,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,5,6,2,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,5,8,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,5,6,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,7,6,5,1,3,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,7,6,8,1,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,7,6,5,8,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [8,7,5,6,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,1,3,6,5,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,7,6,8,4,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,7,6,1,8,3,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,6,1,4,3,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [7,3,5,1,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,1,5,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,4,1,8,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,3,8,6,4,1,7,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,8,6,7,4,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,5,7,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,4,1,8,7,5,6]=>[1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [2,8,6,1,7,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,3,8,1,6,4,7,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,1,4,5,7,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,8,6,1,4,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,2,3,4,5,6,7,9,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [2,1,3,4,5,6,7,8,9]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,2,3,4,5,6,7,8,10,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [2,1,3,4,5,6,7,8,9,10]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,2,3,4,5,6,7,8,9,11,10]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [9,1,2,3,4,5,6,7,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [7,1,2,3,4,5,6,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [2,1,9,3,4,5,6,7,8]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,1,3,4,5,6,7,9]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>7 [2,10,1,3,4,5,6,7,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [2,1,3,4,5,6,7,8,9,10,11]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [8,4,3,6,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,3,4,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,6,5,4,2,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,6,5,2,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,4,1,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,5,4,2,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,6,2,4,1,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,6,5,1,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,2,8,6,5,1,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,1,7,6,4,5,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [5,1,7,3,6,2,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,1,7,5,3,2,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,1,6,5,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,6,5,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,7,6,3,4,5,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,2,8,3,7,4,5,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,1,7,2,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,2,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,8,2,4,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,1,8,3,2,7,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,3,8,2,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,1,8,4,7,5,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,8,7,1,6,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,8,2,7,1,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,2,1,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,1,3,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,6,1,5,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,2,6,5,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,8,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [8,6,7,1,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,1,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,5,8,3,2,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,5,8,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,5,7,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,8,4,2,7,3,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [8,4,3,7,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,3,8,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,4,3,1,5,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [7,4,3,1,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,4,3,1,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,4,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,4,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,1,4,3,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [4,7,2,1,3,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,7,1,3,2,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,7,1,2,4,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,1,2,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,6,1,2,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,2,3,6,4,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [8,7,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,1,2,4,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,1,3,2,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,1,3,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,2,8,1,4,5,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,3,2,5,6,7,8]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [5,1,2,4,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [6,1,2,3,5,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [7,1,2,3,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,2,3,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,3,8,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,4,5,1,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,4,7,6,8,1,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,3,7,8,6,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [3,8,4,5,7,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,4,8,6,7,1,2,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,5,6,7,1,8,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>192 [3,5,6,1,7,8,4,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>216 [8,2,4,5,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,2,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,1,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,3,1,5,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,2,7,8,1,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,3,7,2,6,4,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,7,3,1,5,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,2,1,8,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,2,8,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,8,2,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,1,2,8,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,1,3,4,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,2,7,3,4,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,1,7,3,4,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,1,7,8,2,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,1,8,7,2,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,1,2,7,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,1,8,3,4,7,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,2,1,3,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,3,4,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,3,4,6,7,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,2,1,6,5,8,7,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [5,2,7,4,8,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,2,7,4,8,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,7,2,3,8,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,2,3,8,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,3,2,8,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,3,2,8,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,3,8,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,3,8,1,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,7,3,1,8,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,1,3,8,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,1,7,4,8,2,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,1,7,4,8,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,7,1,3,8,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,3,1,8,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,3,8,1,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,3,8,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,8,3,1,4,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,1,8,3,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,1,7,8,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [1,6,7,8,4,5,3,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [1,6,7,8,4,3,5,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [6,1,7,8,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,7,1,8,3,2,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,7,2,1,8,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,2,8,1,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,2,8,3,1,5,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,2,8,3,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,2,7,8,4,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,2,7,8,4,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,2,7,8,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,2,7,1,8,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [4,2,1,7,8,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [4,1,2,7,8,6,5,3]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [6,2,7,8,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,2,7,8,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,2,7,8,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,7,2,8,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,7,2,1,8,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,1,2,8,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,1,7,2,8,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [1,6,7,8,3,5,4,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [6,1,7,8,2,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,7,1,8,2,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,8,2,4,1,3,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,2,4,3,1,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,1,8,5,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,1,7,8,5,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [1,6,7,8,5,3,4,2]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [6,1,7,8,5,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,7,1,8,5,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,8,4,1,3,2,5]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,3,8,5,2,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,2,8,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,4,5,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,8,4,7,5,2,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,1,4,7,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,1,4,8,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [3,6,4,8,5,7,1,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,1,4,8,6,3,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [3,4,7,1,8,6,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [6,3,8,4,2,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,6,8,7,1,4,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,3,7,1,6,8,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,3,8,5,6,7,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,8,1,7,6,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,1,2,7,8,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [3,6,4,2,8,7,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,3,7,5,2,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,5,2,7,4,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,7,1,4,8,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,8,1,4,6,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,7,4,2,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,3,8,7,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,6,1,8,7,3,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [7,5,3,6,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,4,1,5,3,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,5,2,6,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,3,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,3,5,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,2,7,4,3,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,7,3,6,4,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [3,7,6,4,5,2,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [2,7,6,5,3,4,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [6,5,4,3,1,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,6,5,4,2,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,1,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,1,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,7,4,2,1,8,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,5,8,4,2,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,8,2,6,4,7,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,6,2,5,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,5,3,2,6,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,3,1,7,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,6,3,7,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,6,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,6,3,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,1,7,3,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,6,1,7,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,1,3,7,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,8,5,7,3,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,1,7,6,8,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [3,7,1,5,8,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,3,1,8,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [1,7,3,8,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,2,8,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,6,1,8,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,1,7,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,7,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,8,3,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,6,1,8,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,6,1,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,4,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,5,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,2,1,5,8,3,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [5,4,2,7,1,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,4,3,1,6,8,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [4,7,5,6,8,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,5,4,8,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,2,8,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,1,8,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,4,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,8,3,7,6,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,1,7,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,5,8,3,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,6,8,2,4,7,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,7,3,8,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,4,6,8,2,7,3,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [5,2,6,8,7,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,7,2,8,6,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [3,6,8,1,7,2,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,3,8,7,4,5,6,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [7,2,8,6,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,1,8,7,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,2,7,6,3,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,6,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,2,8,7,6,3,4,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,5,8,3,7,6,2,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,6,8,7,4,2,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,8,4,7,5,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,7,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,6,4,5,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,7,6,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,8,6,7,3,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,3,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,6,7,4,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,6,7,4,5,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,7,4,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,5,7,4,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,7,3,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,3,6,4,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,3,7,4,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,7,4,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,4,8,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [4,7,3,8,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,2,8,5,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,1,8,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [3,7,1,8,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,2,8,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,7,3,8,5,6,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,7,4,8,5,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [5,8,2,7,4,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,7,4,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,2,6,4,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,6,4,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,1,7,4,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,1,7,4,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,7,4,8,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,3,8,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [2,8,5,6,1,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,5,6,2,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,3,8,4,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [4,8,1,7,3,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,7,3,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,1,7,3,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,2,6,3,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,2,7,3,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,2,7,3,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,7,3,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,7,3,8,4,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [3,7,2,8,4,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,1,8,4,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [1,8,4,7,3,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,4,7,3,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,4,7,2,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,7,2,6,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,5,7,2,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,5,7,3,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,5,7,3,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,7,3,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,6,7,3,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,6,7,2,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,6,7,2,5,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,2,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,5,7,1,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,6,7,1,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,1,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,6,7,1,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,6,1,8,5,7,3,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [3,8,5,7,1,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,7,1,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,6,1,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,3,7,1,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,3,7,1,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,4,7,1,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,6,1,8,4,7,3,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [3,7,2,6,1,8,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,1,6,2,8,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [4,8,1,6,2,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,6,2,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,2,5,1,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,2,6,1,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,6,1,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,7,3,6,1,8,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [1,2,3,4,5,6,7,8,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,2,3,4,5,6,8,9,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,2,3,4,5,7,8,9,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,2,3,4,6,7,8,9,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>8 [1,2,3,5,6,7,8,9,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>16 [1,2,4,5,6,7,8,9,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>32 [1,3,4,5,6,7,8,9,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>64 [1,2,3,4,5,6,7,8,9,10]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,2,3,4,5,6,9,8,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,4,5,6,7,9,10,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [1,2,3,4,5,8,7,9,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,2,3,4,5,6,8,9,10,7]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,2,3,4,7,6,8,9,5]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,2,3,4,5,7,8,9,10,6]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>8 [1,2,3,6,5,7,8,9,4]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>8 [1,2,3,4,6,7,8,9,10,5]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>16 [1,2,5,4,6,7,8,9,3]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>16 [1,2,3,5,6,7,8,9,10,4]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>32 [1,4,3,5,6,7,8,9,2]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>32 [1,2,4,5,6,7,8,9,10,3]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>64 [3,2,4,5,6,7,8,9,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>64 [1,3,4,5,6,7,8,9,10,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>128 [6,7,4,8,3,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,4,5,2,8,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,7,4,6,2,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,4,6,3,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,4,8,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,8,4,5,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,4,6,3,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,4,8,3,7,1,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,6,3,7,2,8,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,6,3,8,2,7,1,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,6,4,8,2,7,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,8,4,6,2,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,4,5,2,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,4,5,2,3,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,4,6,2,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,4,8,2,3,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,6,3,8,2,4,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [4,6,3,8,2,5,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,8,3,6,2,5,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,6,2,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,3,5,2,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,5,2,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,8,3,6,2,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,6,2,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,3,8,2,7,1,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,3,7,2,8,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [4,7,3,6,2,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,3,6,2,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,3,8,2,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [5,7,4,8,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,7,3,6,2,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,3,6,2,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,7,3,5,2,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,7,3,5,2,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,4,8,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,5,8,2,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,8,5,7,2,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,4,8,2,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,3,8,2,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,3,4,2,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,7,3,4,2,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,3,4,2,8,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,4,8,2,3,1,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,8,4,7,2,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,4,7,2,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,3,7,2,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,7,2,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,7,2,5,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,3,8,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,3,5,2,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,3,5,2,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,5,3,7,2,8,1,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [4,5,3,8,2,7,1,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,8,3,5,2,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,4,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,3,4,2,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,3,4,2,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,3,4,2,5,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,4,2,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,5,2,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,3,8,2,6,1,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,7,5,2,1,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,8,5,2,1,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,5,2,1,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [5,6,4,2,3,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [6,4,5,3,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,4,6,1,3,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [4,6,8,1,7,3,2,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,8,1,6,3,5,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [7,4,8,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,4,8,1,3,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,4,5,3,1,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,7,1,3,8,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,4,8,1,7,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,6,8,7,2,1,3,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [8,5,7,6,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,3,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,2,8,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,1,6,8,7,4,3,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [2,1,7,8,6,4,5,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [7,3,2,8,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,8,5,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,8,6,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,8,7,6,3,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,5,3,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,4,2,3,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,4,2,6,5,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,8,7,2,6,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,2,7,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,6,1,8,7,4,2,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,7,1,8,6,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,8,1,6,7,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,6,8,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,6,2,8,1,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,7,4,2,8,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,8,4,2,7,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,1,8,6,7,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,3,2,6,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,3,7,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,6,7,3,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,7,5,8,1,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,6,5,8,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,5,7,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,3,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,2,6,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,1,7,6,8,3,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [7,5,6,8,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,7,8,1,2,4,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [8,1,3,7,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,8,7,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,7,5,4,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [8,1,3,5,4,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,5,4,3,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,1,8,3,4,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,5,3,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,4,3,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,3,4,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,2,4,5,6,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,3,2,7,5,1,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [8,4,7,2,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,8,2,4,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,5,2,1,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,2,8,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,6,1,8,5,2,4,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,4,1,2,8,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [5,8,1,6,3,2,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,8,5,2,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,3,1,5,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,2,6,1,5,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,7,2,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,5,6,4,2,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,5,8,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,7,5,6,3,2,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,2,3,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,1,2,3,6,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,1,3,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,2,7,3,1,8,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,8,2,4,1,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,2,6,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,6,3,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,1,8,6,4,2,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,1,6,7,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,8,7,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,2,1,3,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>3 [2,5,8,3,1,7,4,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,6,1,3,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,1,3,6,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,2,3,4,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,1,8,3,2,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,7,9,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,7,6,9,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [8,7,6,5,9,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [8,7,6,5,4,9,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [8,7,6,5,4,3,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [8,7,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [9,10,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [7,8,9,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [9,8,10,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [8,6,7,9,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [9,8,7,10,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,6,9,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [9,8,7,6,10,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [8,7,6,4,5,9,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [9,8,7,6,5,10,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [8,7,6,5,3,4,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [9,8,7,6,5,4,10,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [8,7,6,5,4,2,3,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [9,8,7,6,5,4,3,10,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [8,7,6,5,4,3,1,2,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,7,6,5,4,3,2,10,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [1,7,3,8,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,3,2,8,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,2,5,7,8,6,1,3]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>72 [7,2,3,1,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,5,1,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,1,8,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,8,3,5,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,4,8,5,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,4,7,5,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,2,1,3,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [7,8,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,4,2,3,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,7,2,3,1,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [7,5,4,2,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,2,5,4,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,4,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,4,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,8,4,3,5,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,4,2,3,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,8,4,1,3,2,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,7,4,3,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,3,8,1,2,7,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,3,2,6,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,7,3,1,2,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [1,7,5,4,2,6,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,5,8,2,4,6,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,5,8,4,2,7,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,6,3,2,7,8,4,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [6,3,4,1,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,3,1,4,2,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [1,8,3,2,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,3,2,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,2,6,8,1,7,3]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [4,2,5,6,7,8,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>81 [6,2,3,4,1,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,2,3,1,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,6,1,4,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,6,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,5,1,8,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [8,1,2,4,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,5,4,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,5,1,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,6,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,6,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,5,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,6,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,4,8,2,7,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,4,7,2,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [3,7,5,1,2,8,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,2,8,1,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,2,8,7,1,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,5,8,2,7,3,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [2,1,7,6,3,4,8,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [5,1,4,2,7,8,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [3,1,2,8,4,6,7,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,3,7,1,8,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [4,8,7,2,1,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,7,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,1,7,8,2,6,4,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [5,2,8,1,3,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,1,8,6,3,4,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,3,7,8,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [2,1,7,8,3,4,6,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,2,3,8,7,5,6,4]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [10,1,2,3,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,4,5,6,9,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,4,5,9,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,4,10,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [10,1,2,3,9,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,9,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,10,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [10,9,1,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,1,2,3,4,5,6,7,8,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,4,5,6,7,8,11,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [11,1,2,3,4,5,6,7,10,8,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [11,1,2,3,4,5,6,10,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [11,1,2,3,4,10,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [11,1,2,3,10,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [2,9,10,1,3,4,5,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>64 [11,1,10,2,3,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [11,10,1,2,3,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [4,7,8,5,6,2,1,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [5,7,8,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,7,8,4,2,5,1,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,6,3,7,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,3,8,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,8,3,2,1,5,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [5,7,8,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,7,8,4,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [3,7,8,4,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,7,8,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [5,7,8,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [7,6,3,8,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,3,7,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,3,8,2,1,4,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [3,6,4,8,2,5,1,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,6,4,8,3,5,7,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [8,4,3,2,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,3,2,1,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,4,3,2,1,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,4,3,2,1,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,3,2,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,2,1,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,3,2,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,3,2,1,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,6,3,8,2,1,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [7,5,3,2,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,4,2,7,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,2,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,4,2,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,6,5,8,7,2,1,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,5,4,2,7,8,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [8,5,4,2,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,3,2,6,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,6,3,7,2,1,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [3,6,4,7,2,8,1,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [7,4,3,2,1,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,3,2,1,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,2,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,3,2,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,4,3,2,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,6,3,4,1,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [8,5,3,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,4,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,8,4,2,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,1,7,8,5,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [6,8,3,7,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,7,3,8,1,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,2,5,8,3,1,6,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,1,5,8,3,2,6,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,3,8,5,2,1,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,7,3,5,2,1,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,2,1,4,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [6,3,4,1,2,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,2,4,1,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [3,7,2,4,8,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [7,2,1,4,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,1,4,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,2,1,5,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,4,2,1,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [7,4,1,5,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,1,5,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,1,5,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,2,5,1,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,3,5,1,2,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,4,5,1,7,2,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,5,2,1,4,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,5,3,1,4,7,2,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [2,3,1,8,5,4,7,6]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [2,4,1,5,8,3,7,6]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>24 [2,4,1,5,3,8,7,6]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>6 [1,8,4,5,3,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,4,8,5,3,1,7,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,5,8,2,1,7,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [3,4,6,2,1,7,8,5]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>72 [3,5,6,2,7,8,1,4]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>216 [3,4,6,2,8,7,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [3,4,6,8,2,7,1,5]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [2,4,8,6,3,7,1,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [1,8,4,6,3,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,6,3,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,4,6,8,2,7,5,1]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [3,4,6,2,8,7,5,1]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [3,5,6,2,7,8,4,1]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>216 [4,5,6,7,2,8,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>192 [3,5,6,8,7,2,4,1]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [2,5,8,6,7,3,4,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [1,8,5,6,7,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,6,7,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,5,8,6,7,3,1,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,6,8,7,2,1,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [4,5,6,7,2,1,8,3]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>128 [3,4,6,1,8,7,2,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [2,3,1,8,6,7,4,5]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,8,3,2,6,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,5,1,6,7,8,4,3]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>108 [3,4,6,1,8,7,5,2]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [3,4,6,8,1,7,5,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [2,4,8,6,1,7,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [1,8,4,6,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,6,7,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,5,8,6,7,1,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,6,8,7,1,4,2]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [4,5,6,7,8,1,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [4,5,6,7,1,3,8,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>128 [4,5,6,7,3,1,8,2]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>128 [3,5,6,8,7,4,1,2]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [2,5,8,6,7,4,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [1,8,5,6,7,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,5,8,6,7,4,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,2,5,3,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,3,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,2,4,3,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,5,7,3,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,1,5,8,3,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,8,2,4,7,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,6,8,2,4,7,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,3,5,6,7,1,8,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>54 [3,7,1,5,6,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,1,5,8,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [8,3,2,4,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,4,6,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,2,5,1,8,4,6,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [7,8,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,1,5,7,8,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,7,6,1,8,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,8,6,1,7,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,5,8,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,7,3,2,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,5,1,8,7,4,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [3,2,4,1,8,7,5,6]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [3,2,5,1,6,8,7,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>18 [3,8,6,5,1,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,6,5,1,8,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [6,5,1,7,8,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [3,2,5,1,6,7,8,4]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>24 [3,2,4,1,8,5,6,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [3,2,4,1,8,5,7,6]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [8,3,2,4,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,5,1,8,4,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [6,5,1,7,4,2,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,5,1,8,4,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,4,2,3,7,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,6,1,8,3,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [5,2,6,1,8,3,7,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [8,4,6,1,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,6,1,8,4,7,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [7,4,2,3,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,1,6,4,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,6,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,2,5,1,8,6,4,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [7,3,2,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,6,1,5,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,6,1,8,5,7,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [8,5,6,1,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,5,1,7,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,5,1,6,7,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,5,1,8,6,7,4]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [3,2,4,1,8,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [7,8,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,8,5,1,7,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,5,1,8,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [8,7,5,1,6,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,5,1,8,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [6,5,7,3,1,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [4,6,3,7,1,8,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [5,4,7,3,6,1,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,4,7,8,3,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,3,7,5,1,8,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [6,4,3,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,4,3,6,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,8,3,6,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,8,4,1,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,6,2,1,8,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,4,1,7,5,8,6,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>36 [2,4,1,7,5,3,8,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>24 [5,4,8,2,1,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,5,8,4,1,6,3,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,8,3,2,6,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,5,2,8,1,6,4,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,2,1,6,8,5,4,7]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [3,2,7,1,5,4,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [3,8,2,5,1,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,3,2,6,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,8,2,6,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,7,2,6,8,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,3,7,8,2,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [6,3,2,7,1,5,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,3,2,7,1,5,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,3,2,7,8,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [4,2,6,1,7,8,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [6,5,2,1,7,8,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [2,1,7,5,3,8,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [6,2,1,8,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,2,7,1,4,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,3,2,1,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,3,2,1,4,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [5,8,4,2,1,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,2,1,8,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,4,1,7,3,8,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>36 [3,5,8,2,1,7,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,8,3,7,2,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,7,2,8,1,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,8,3,2,7,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,5,2,8,1,7,4,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [6,3,2,8,1,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,3,2,1,8,4,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [4,8,3,2,1,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,8,2,1,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,4,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,4,3,2,1,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,7,5,6,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,5,4,6,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,4,6,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,9,8,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,9,8,5,7,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,9,8,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,11,10,9,8,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,2,3,1,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,4,5,2,3,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,2,5,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,3,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,5,3,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,1,5,2,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,4,5,1,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,1,5,3,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,3,5,1,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,3,5,2,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,5,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,2,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,1,4,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,3,4,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,1,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,4,5,3,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,6,7,4,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,1,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,5,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,4,6,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,4,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,1,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,3,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,5,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,4,7,5,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,1,7,3,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,3,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,1,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,2,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,3,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,3,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,2,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,3,7,4,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,1,5,2,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,3,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,5,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,5,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,2,3,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,1,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,1,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,3,1,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,1,3,2,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [8,6,7,2,3,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,1,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,5,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,2,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,1,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,1,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,6,7,3,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,3,7,5,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,1,3,2,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,4,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,4,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,2,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,2,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,1,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,4,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,5,7,3,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,5,7,4,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,4,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,1,6,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,8,3,6,1,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,5,8,1,3,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,5,8,6,3,2,7,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,5,8,7,3,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,5,8,7,3,6,2,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,7,2,8,4,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,7,2,8,4,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [3,6,2,8,4,5,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,6,1,8,4,5,7,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,8,4,6,1,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,3,1,8,4,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,3,6,8,4,5,7,1]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [6,3,7,8,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,1,7,8,2,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [3,6,7,8,4,2,5,1]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [7,6,1,8,4,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,6,8,7,3,2,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [2,8,3,7,1,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,2,8,7,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,2,1,8,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,2,7,8,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [5,2,7,8,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [1,2,7,8,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [4,2,1,3,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [7,2,5,8,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,2,8,5,4,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,8,3,5,4,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,5,3,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,4,8,5,2,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,3,5,8,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,3,1,2,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,4,2,1,8,5,6,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,6,8,4,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [5,7,1,8,3,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,5,8,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [1,7,5,8,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,6,8,5,4,3,2,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [4,6,8,5,1,3,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,6,8,1,4,3,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [7,5,8,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,4,8,3,6,5,1,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,8,4,1,5,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,1,8,3,5,6,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,6,8,4,1,3,2,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [4,6,8,1,5,3,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [1,6,8,4,5,3,2,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,7,3,8,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [3,7,1,8,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,7,3,8,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,1,3,8,4,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,7,8,4,3,6,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,8,7,4,1,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,4,3,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,5,8,4,2,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,1,3,2,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,4,3,2,8,5,6,7]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [7,3,2,8,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,4,8,2,5,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,8,4,3,5,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,3,4,5,1,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,2,8,4,5,3,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,3,8,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,2,3,1,8,5,6,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [5,1,3,2,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [2,8,1,5,3,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,2,8,4,5,3,7,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,8,4,2,5,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,5,3,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,1,5,2,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,2,8,5,4,3,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,4,8,5,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,1,2,7,4,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [8,3,5,1,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,1,5,4,7,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,2,8,5,7,4,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,8,1,4,3,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,1,2,8,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,1,2,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,6,4,8,1,7,2,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [7,6,1,4,2,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,6,2,8,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,6,7,2,8,4,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [6,7,1,4,2,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,3,7,1,4,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [3,7,8,1,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [7,1,2,8,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,7,2,8,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,2,8,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,1,2,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,6,1,3,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,1,3,2,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [1,2,7,5,8,3,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,8,1,3,7,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,1,7,3,5,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,6,1,3,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,1,7,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,8,1,7,4,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,1,2,8,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,2,8,4,7,5,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,7,4,5,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,8,1,7,5,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,7,1,5,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,1,4,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,6,1,4,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,2,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,8,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,1,2,8,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,7,4,8,1,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,4,8,7,1,6,2,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,2,8,1,7,6,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,8,1,7,6,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,8,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,3,4,1,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,3,4,1,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,7,3,4,1,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,8,3,4,1,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,4,1,6,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,3,4,1,5,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,3,4,1,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [5,7,3,4,1,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,6,2,8,3,4,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [4,6,2,8,3,5,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,7,3,5,1,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,8,3,5,1,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,5,1,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,3,5,1,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,5,1,8,3,7,2,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,5,1,7,3,8,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [4,6,2,7,3,8,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [5,6,2,7,3,8,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,6,2,7,4,8,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,6,3,8,4,7,1,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,6,2,8,4,7,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,6,2,8,3,7,1,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [4,6,2,8,3,7,1,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,5,1,8,3,6,2,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [9,2,1,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,3,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,2,3,1,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [3,4,2,5,6,7,8,9,1]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>96 [3,2,4,5,6,7,8,9,10,1]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>128 [2,3,4,5,6,7,8,9,10,11,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>512 [6,5,3,2,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [4,6,3,5,2,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [8,7,3,5,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,2,4,5,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,2,4,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,1,4,5,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [8,3,7,4,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,8,4,5,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,8,7,4,3,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,7,4,3,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,7,4,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,6,8,5,7,4,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [6,8,3,5,1,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,1,8,4,7,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,5,8,4,7,6,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,3,8,1,5,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,1,3,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,4,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,6,1,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,6,1,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,4,1,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,1,2,5,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,7,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,1,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,4,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,7,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,2,4,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,6,2,4,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,6,3,2,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,6,2,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,4,2,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,6,8,4,5,7,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [6,1,8,4,5,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,3,5,1,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,1,5,8,3,6,7,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [5,8,3,6,1,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,8,2,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,4,8,1,5,6,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,8,2,1,5,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,4,8,2,5,6,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,8,1,4,7,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,1,6,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,3,8,6,1,7,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [5,6,7,8,10,1,2,3,4,9]=>[1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>1875 [8,4,3,7,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,2,3,5,4,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [5,2,7,3,6,4,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [8,3,4,7,6,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,7,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,7,3,6,8,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,7,1,3,5,8,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,8,7,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,7,6,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,4,7,6,1,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,4,7,1,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,4,7,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,2,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,3,1,7,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,2,1,7,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,7,1,2,8,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [8,2,3,1,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,1,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,7,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,7,1,6,8,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [6,7,4,5,8,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [5,4,7,6,8,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [2,5,7,8,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [8,5,7,1,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,7,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,8,7,6,1,5,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,3,8,7,6,1,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,3,7,8,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [6,7,2,8,1,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,2,7,8,1,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,2,8,7,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,2,8,1,7,6,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,3,1,2,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,3,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,8,3,7,6,5,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,3,7,6,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,1,8,7,2,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,1,7,8,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [6,7,1,8,2,5,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,8,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,7,2,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,1,2,7,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,1,3,7,6,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,2,3,7,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,2,3,7,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,4,5,6,7,8,9,10,2]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>128 [2,3,4,5,6,7,8,9,11,1,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>384 [10,3,4,5,6,7,8,1,2,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,4,5,6,7,8,9,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,3,4,5,6,7,8,9,1,2,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [2,10,4,5,6,7,8,1,3,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [9,1,4,5,6,7,8,2,10,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [11,1,4,5,6,7,8,9,10,2,3]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [6,7,1,8,4,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [3,7,1,5,8,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [2,7,1,5,8,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [3,6,5,1,8,2,7,4]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,6,5,1,8,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [5,6,4,1,8,7,2,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [8,1,4,5,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,5,1,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,4,6,1,8,7,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,6,1,8,7,2,3]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>96 [3,5,6,1,8,2,7,4]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [5,3,6,1,8,2,7,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [7,3,1,5,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,1,3,5,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,5,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,1,5,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,2,5,1,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,3,6,1,4,8,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>24 [4,2,5,3,1,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>3 [6,2,4,1,3,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,2,1,4,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,2,4,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,4,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,4,2,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,4,1,2,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [2,6,4,1,3,8,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,7,1,4,3,8,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [3,7,1,4,2,8,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [4,7,1,3,2,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [8,1,6,7,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,1,2,3,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,7,1,2,4,8,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [2,7,1,3,4,8,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,6,3,1,4,8,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [5,6,2,1,8,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [6,5,2,1,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,1,5,2,7,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,2,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,2,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,2,1,3,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,4,2,3,1,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [6,3,2,1,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,3,1,2,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,3,2,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,1,3,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,3,1,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [2,4,3,6,1,5,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>9 [2,4,3,6,5,8,1,7]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>27 [2,4,1,6,5,3,8,7]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>9 [4,2,6,5,8,1,7,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,2,6,5,8,1,3,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,2,6,5,8,3,1,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [2,4,1,6,5,8,3,7]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>27 [2,4,1,6,5,8,7,3]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>27 [4,2,6,5,8,3,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,2,6,8,5,3,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,2,6,8,5,3,1,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,2,6,8,5,1,3,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,2,6,8,5,1,7,3]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [2,4,3,6,1,8,5,7]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>27 [2,4,3,6,1,8,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>27 [4,6,5,2,8,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,6,5,2,8,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,6,2,5,8,7,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,6,2,5,8,7,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,4,1,6,3,8,7,5]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>27 [4,6,2,8,5,7,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,2,8,5,7,1,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,2,4,8,7,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,2,8,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,6,4,8,1,7,5,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,6,4,8,1,7,3,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,4,2,8,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,4,8,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,4,8,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,1,6,3,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,3,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,2,7,4,8,3,5,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [6,1,7,3,4,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [2,1,7,4,5,8,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,1,4,7,3,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [2,8,6,3,7,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,1,3,7,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,2,1,7,3,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,2,1,8,3,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,1,3,8,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [5,1,2,4,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [2,6,1,4,5,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [6,5,1,3,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,5,1,3,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,2,1,5,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [4,3,5,2,1,8,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>3 [2,6,4,8,7,1,3,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,7,8,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [4,3,2,8,7,1,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,2,4,8,7,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,8,3,7,1,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,1,4,8,7,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,8,2,5,1,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,2,5,1,3,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [3,7,2,1,5,4,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [3,8,2,1,5,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,3,2,1,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,1,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,5,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,1,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,1,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,2,1,4,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,2,1,4,5,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [3,2,7,1,4,6,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [3,2,8,1,4,6,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,8,1,4,7,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,8,2,1,4,7,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,1,5,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,5,1,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,2,5,1,8,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,7,2,1,5,8,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,2,1,4,8,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [4,2,7,6,1,8,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,3,7,6,8,1,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,3,8,6,7,1,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,2,8,6,1,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,2,8,1,6,7,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,1,8,7,5,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,8,2,1,7,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,2,8,1,7,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,8,1,6,4,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,7,1,6,4,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [4,2,8,6,1,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,2,8,7,1,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,7,8,3,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,2,7,8,1,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [4,2,6,8,1,3,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,7,2,1,8,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,7,2,1,8,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,3,8,5,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,3,7,8,6,1,2,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,2,1,6,8,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [4,2,6,8,1,7,3,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,3,6,8,7,1,2,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,2,6,7,1,8,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [3,4,6,8,7,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [5,3,6,4,8,7,1,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [3,1,8,5,4,2,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,3,7,5,4,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [7,3,8,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,8,7,5,4,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,3,6,7,8,5,1,2]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [4,5,6,3,8,7,1,2]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>96 [3,6,8,5,4,7,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,8,3,5,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,3,5,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,2,5,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,8,2,5,7,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,2,1,5,4,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [4,1,6,2,8,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [7,8,1,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,3,6,1,8,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [2,3,8,5,4,1,6,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [4,8,1,5,2,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,1,6,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,8,1,6,4,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,5,7,4,3,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [1,5,8,6,4,3,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [7,8,4,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,1,6,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,6,8,7,4,3,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,8,1,7,4,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,1,7,6,4,3,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,1,7,8,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,1,8,6,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,7,5,6,3,8,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [7,8,1,6,5,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,1,4,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,1,5,4,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,2,1,5,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,2,8,5,6,3,7,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,2,5,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [4,2,1,5,6,3,7,8]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>4 [5,1,6,3,7,8,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [4,1,6,7,3,8,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [6,4,1,5,2,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [7,2,3,5,4,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,8,3,5,4,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,2,6,3,8,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [7,8,2,3,4,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,5,7,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,8,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,8,7,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,1,8,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,7,1,4,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,5,8,1,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,7,1,4,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,4,6,1,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,6,4,5,1,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [6,8,5,1,4,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,5,1,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,2,3,4,5,6,9,7,8]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,2,3,4,5,8,6,9,7]=>[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,2,3,4,7,5,8,9,6]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,2,3,6,4,7,8,9,5]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>8 [1,2,5,3,6,7,8,9,4]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>16 [1,4,2,5,6,7,8,9,3]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>32 [9,8,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,8,9,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [9,8,7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,6,7,8,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,9,6,7,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,8,6,7,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,5,6,7,8,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,9,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,8,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,8,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,8,9,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [9,7,8,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,9,6,7,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,8,6,7,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,10,1,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,8,9,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,8,9,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,10,7,8,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,9,7,8,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,7,8,9,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,10,6,7,8,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,9,6,7,8,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,9,6,7,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,6,7,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,1,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,10,5,6,7,8,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,9,5,6,7,8,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,5,6,7,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,10,7,8,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,9,7,8,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,5,6,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,1,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,8,9,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,10,7,8,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,9,7,8,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,4,5,6,1,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,9,6,7,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,6,7,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,4,5,1,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,4,1,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,10,7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,9,7,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [4,3,6,2,8,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [6,1,2,5,4,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,2,4,5,1,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [4,2,8,5,1,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,6,8,1,7,2,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [6,2,1,5,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [1,6,7,4,8,3,5,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [4,6,7,2,5,8,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [2,7,5,4,1,6,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [7,5,4,6,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,5,8,4,3,6,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,6,2,7,8,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [5,6,3,2,7,1,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [8,5,6,3,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,6,2,8,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [2,4,1,7,8,5,3,6]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>48 [6,8,4,3,2,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,3,8,2,1,6,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,7,5,8,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [7,3,2,8,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,4,6,3,2,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,3,2,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,3,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,8,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,4,7,2,1,8,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [7,5,8,3,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,3,2,1,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,7,3,2,1,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,3,7,2,5,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,7,8,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,2,5,7,8,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [3,6,7,2,8,1,4,5]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [6,3,7,2,8,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,3,5,2,1,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,5,8,4,1,3,7,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,4,1,7,8,3,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>48 [3,7,2,8,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,6,8,2,1,7,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,3,8,2,1,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,8,7,3,2,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,3,2,1,5,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [8,4,7,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,2,1,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,8,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,8,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>7 [1,8,9,7,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,9,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>8 [7,6,8,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>6 [1,7,9,8,6,5,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,3,5,4,6,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,3,7,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,1,6,3,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [5,4,1,6,2,3,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [5,7,1,6,2,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,1,6,2,8,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [2,7,6,5,1,8,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,6,5,1,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,6,1,4,8,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,6,1,4,8,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,3,5,1,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,5,1,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,7,6,1,5,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,6,4,1,8,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,1,7,6,3,8,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [2,1,7,6,3,8,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,7,3,6,2,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [2,7,6,4,1,8,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,3,5,1,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,5,1,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,3,4,8,7,6,1,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,5,7,1,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [7,3,5,4,8,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,3,5,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,1,4,5,8,7,3,6]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [6,4,3,5,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,3,5,4,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,3,4,8,7,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,7,5,1,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,7,6,5,4,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,3,5,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,5,6,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,5,6,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,1,5,8,7,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,1,5,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,1,5,8,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,7,1,6,3,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,4,1,5,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,4,1,5,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,1,5,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,5,7,8,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,3,5,7,8,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [2,7,6,4,5,8,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [5,7,3,6,1,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [2,1,4,5,8,6,3,7]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [7,3,5,4,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,3,4,8,5,6,1,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,7,1,6,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,1,7,6,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,1,6,7,5]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,5,1,7,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [6,3,5,4,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,4,3,5,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,1,4,5,8,3,7,6]=>[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>8 [7,4,3,5,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,5,4,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,3,4,8,5,1,6,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,1,6,5,7]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [2,3,4,8,1,5,7,6]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>20 [7,8,2,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,6,2,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,6,7,2,5,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,7,2,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,8,1,7,2,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,7,1,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,6,7,1,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,7,1,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,1,7,5,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,2,7,5,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,7,4,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,1,7,4,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,7,1,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,2,7,1,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,7,2,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,4,7,2,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,8,1,7,5,6,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,4,7,5,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,7,5,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,1,7,5,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,1,7,4,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,8,3,7,4,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,7,2,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,1,7,2,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,7,1,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,7,4,6,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,7,5,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,7,5,6,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,7,5,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,4,7,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,4,7,5,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,3,7,5,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,3,7,4,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,3,7,1,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,1,7,3,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,5,2,8,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,1,8,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,8,6,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,8,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,1,7,4,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,6,7,3,8,5,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [7,1,8,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,6,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,2,8,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,1,8,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,8,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,3,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,3,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,3,8,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,4,8,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,1,4,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,3,1,4,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,4,8,6,1,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,2,3,8,4,6,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,8,2,3,6,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,3,5,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,3,6,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,2,4,7,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,3,8,1,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,4,2,8,1,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,8,2,5,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,8,1,4,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,8,1,3,6,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,4,2,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,1,2,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,5,1,2,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,3,1,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,3,1,6,4,2,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [3,5,7,1,8,6,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [3,6,2,7,5,1,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [4,2,5,7,1,8,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [3,4,7,2,8,6,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [3,4,5,8,2,7,1,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [3,4,6,2,8,1,5,7]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [3,5,2,6,8,1,7,4]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [5,3,6,8,4,7,2,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [3,7,2,5,4,8,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [8,4,2,5,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,2,5,8,3,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,2,6,8,4,3,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [3,1,6,5,4,8,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [4,1,6,5,8,3,2,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [5,1,6,8,4,3,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [8,5,4,7,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,1,8,4,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [2,7,1,5,4,3,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [8,2,1,5,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,5,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,1,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,1,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,6,1,4,3,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [6,7,8,5,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [5,7,6,8,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,7,2,8,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,7,8,2,4,3,5,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [4,7,6,2,8,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [8,3,6,2,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,6,2,4,8,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,3,8,4,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,7,3,5,8,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [8,7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,3,2,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,5,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,5,1,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,5,7,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,6,8,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,7,6,5,8,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,7,6,5,1,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [8,1,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,9,2,3,4,5,6,7,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,4,5,6,7,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [1,8,9,2,3,4,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,10,2,3,4,5,6,7,8,9]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,4,5,6,7,8,9,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1 [1,11,2,3,4,5,6,7,8,9,10]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [3,6,4,8,7,5,1,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,6,4,3,8,7,1,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [1,6,2,4,7,8,5,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [3,6,2,4,8,1,5,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [3,4,7,2,8,1,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [7,3,8,4,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,5,6,4,8,7,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [4,6,8,5,3,7,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,8,5,3,4,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,5,2,7,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,2,7,5,1,8,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [7,8,1,4,2,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,5,1,3,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [4,8,5,3,1,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,4,5,3,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,8,3,6,1,4,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,5,8,6,4,1,3,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,6,2,5,8,1,7,4]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [1,6,8,7,4,2,3,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,1,7,8,2,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,1,8,6,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,1,4,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,2,8,3,6,5,7,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,3,2,7,5,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [7,6,5,8,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,8,6,7,3,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,3,4,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,8,3,5,4,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,1,6,3,8,2,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [7,8,2,4,6,3,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,5,7,4,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,2,5,8,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,3,8,7,1,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,3,8,2,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,5,8,4,1,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,7,4,1,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,5,7,8,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [7,8,4,6,3,1,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,6,4,5,3,8,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [3,6,5,8,4,2,1,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,6,8,4,2,3,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,8,5,4,3,1,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,1,4,2,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,8,6,5,3,2,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,6,5,1,2,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,5,8,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [1,7,5,8,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,8,5,7,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,3,1,5,6,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,2,1,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,5,6,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,1,5,6,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,2,5,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,5,7,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,1,8,6,2,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,5,8,6,1,7,3,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,6,1,5,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,5,7,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,6,5,8,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,7,6,8,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,1,3,7,8,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [7,2,5,8,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,2,8,5,7,6,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,2,1,5,7,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,8,6,1,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,2,8,6,5,7,3,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,2,5,6,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,5,4,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,3,5,4,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,1,5,3,4,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,5,6,2,4,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,2,6,3,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,5,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,8,6,2,7,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,8,1,6,3,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,5,6,3,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,6,1,4,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [7,1,4,2,6,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,7,4,1,5,6,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [5,7,6,4,1,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [4,7,6,1,5,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [1,8,3,6,5,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,1,6,5,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,1,3,5,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,4,1,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,1,5,4,3,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,5,6,4,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,2,6,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,2,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,4,3,5,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,1,3,4,5,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,2,6,4,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,3,6,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,7,3,6,8,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [3,4,7,8,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [6,8,3,4,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,3,6,7,5,8,1,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [6,3,7,5,8,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,3,8,6,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,8,2,6,1,5,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,3,8,6,4,1,5,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [7,8,3,2,5,1,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,1,2,5,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,1,8,6,4,7,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [7,1,3,6,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,8,3,6,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,8,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,8,7,2,3,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,1,5,7,4,2,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,5,7,1,4,2,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,6,8,1,3,2,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,8,5,1,3,4,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,3,4,5,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,2,4,3,1,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [4,2,8,3,1,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,3,7,4,1,6,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,8,7,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,6,8,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,2,7,8,5,4,3,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [6,3,1,2,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,2,1,3,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>1 [2,8,1,4,5,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,2,1,5,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,2,6,1,8,5,3,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [7,8,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,1,5,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,5,1,6,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,8,1,6,3,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,5,1,8,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,8,1,7,5,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,1,8,5,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,6,1,7,4,8,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [3,1,7,5,6,4,8,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,1,7,6,4,8,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,1,7,8,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,1,8,6,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,5,3,6,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,5,6,3,2,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [8,1,6,5,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,7,6,8,3,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [6,1,7,5,3,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [2,1,7,5,6,8,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,1,7,6,8,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [4,8,5,6,2,7,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,6,4,2,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,5,2,4,6,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,6,3,7,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,8,1,6,2,4,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,1,4,7,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,4,1,7,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,4,7,1,8,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [3,7,4,1,8,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,1,4,8,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [2,7,1,8,4,5,3,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [6,1,2,8,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,1,4,3,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,5,1,3,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,1,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,2,1,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,3,1,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,7,6,8,4,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,7,6,8,5,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [1,7,6,8,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [2,4,8,6,7,3,5,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [7,3,8,5,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,4,8,5,6,7,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,3,5,8,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,4,3,8,6,7,2,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,4,2,8,7,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,5,8,7,3,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,2,8,5,7,4,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,1,8,7,4,6,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,1,8,5,7,6,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,1,5,8,7,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,4,1,8,7,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,8,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,2,1,4,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,2,1,4,3,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,2,1,4,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,1,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,4,1,3,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,2,4,1,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [2,1,6,4,3,5,8,7]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [2,6,1,4,3,5,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [2,6,4,1,3,5,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [4,6,2,1,3,5,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [6,4,2,1,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,4,2,1,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,1,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,2,1,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,6,2,1,8,3,5,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,6,1,4,3,8,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,1,8,4,3,6,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,8,1,4,3,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,1,3,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,2,1,3,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,1,6,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,1,4,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,6,2,1,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,1,4,6,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,1,8,4,6,3,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,6,4,8,1,3,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [4,6,2,8,1,3,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,2,6,1,8,3,5,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [6,2,4,1,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,2,4,1,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,4,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,1,4,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,2,1,6,3,8,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [2,1,4,3,8,6,5,7]=>[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [4,2,1,3,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,2,1,8,3,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,2,1,8,6,3,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [6,2,1,8,4,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,2,1,6,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,1,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,8,1,4,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,2,8,1,6,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,2,8,1,3,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,4,8,1,3,6,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,4,1,8,3,6,5,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,1,4,8,3,6,5,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,1,4,8,6,3,5,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,4,8,1,6,3,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,4,8,6,1,3,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,2,8,6,1,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,2,8,4,1,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,2,6,4,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,2,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,2,1,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,6,8,2,1,3,5,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,6,8,4,1,3,5,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,6,8,1,4,3,5,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,6,1,8,4,3,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,1,6,8,4,3,5,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [2,1,8,6,4,3,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,8,1,6,4,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,6,4,1,3,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,6,2,1,3,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,4,2,1,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,4,3,8,1,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,2,4,1,5,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [4,3,8,2,6,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,1,7,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,1,5,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,1,8,3,4,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,1,3,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,7,6,8,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [4,3,7,6,8,1,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,3,7,1,8,5,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,3,6,5,8,1,7,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [6,3,5,4,7,2,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,3,5,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,1,6,3,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,6,5,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,1,8,4,6,3,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,4,6,1,3,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,3,4,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,3,7,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,1,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,2,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,5,2,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,6,3,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,1,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,1,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,3,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,8,4,6,1,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,8,1,5,4,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,5,7,2,4,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,5,8,2,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,4,1,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,8,2,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,8,1,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,1,7,3,8,5,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [7,1,3,2,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,8,5,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,8,2,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,1,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,7,4,5,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,4,7,2,6,3,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,4,8,2,6,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,8,1,7,2,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,7,4,8,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,5,7,1,8,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,1,7,4,8,3,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,4,7,1,8,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,4,6,3,8,1,7,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [2,8,3,1,5,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,5,3,4,7,1,8,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>24 [2,4,8,3,5,7,6,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,2,5,3,1,8,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>3 [4,2,1,8,5,3,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,4,1,3,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,1,4,8,3,2,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [1,5,8,4,3,2,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,8,5,4,3,2,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,4,3,8,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,1,4,7,8,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [4,8,1,5,7,3,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,5,3,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,4,7,6,5,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,6,8,5,3,7,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,8,1,7,4,3,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,4,8,1,7,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,7,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,6,4,1,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,2,1,7,8,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [2,7,4,6,3,1,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,6,8,4,3,7,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [6,2,4,8,3,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,2,6,3,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,7,1,8,3,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,1,7,3,5,8,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [8,7,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,7,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,2,6,3,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,2,6,3,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,8,7,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,3,7,1,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,2,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,2,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,5,2,6,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,2,1,8,6,7,4,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [2,8,5,7,6,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,7,8,5,2,6,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,8,1,6,4,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,6,1,5,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,3,8,6,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,6,1,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,6,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,7,5,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,3,5,2,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,3,5,7,2,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [8,5,2,7,4,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,7,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,4,6,3,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [2,8,4,6,3,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,4,7,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,7,5,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,4,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,7,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,5,7,4,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,3,7,1,8,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,5,1,4,7,8,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,3,4,7,5,8,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,1,4,6,8,3,7,2]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [4,7,1,3,5,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,8,3,7,1,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,6,4,1,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,1,2,5,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,7,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,2,6,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,7,4,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,7,6,8,4,2,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,3,7,8,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [8,3,6,2,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,7,6,2,1,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,3,6,2,8,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,7,8,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,6,7,5,4,8,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [6,1,7,4,5,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,7,3,5,1,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,7,3,6,1,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [4,6,2,1,8,7,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [3,4,6,2,7,8,5,1]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>162 [5,6,1,4,8,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,6,3,1,8,7,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [3,4,6,1,5,7,8,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>72 [3,8,2,7,1,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,7,6,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,7,6,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,7,6,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,7,2,6,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,2,6,5,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,2,1,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,3,2,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,3,2,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,3,2,6,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,3,6,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,3,6,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,3,6,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,3,6,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,3,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,2,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,4,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,4,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,3,4,2,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,5,2,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,5,2,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,3,5,2,7,4,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [7,2,1,5,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,5,1,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,6,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,4,5,7,3,2,8,6]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>36 [6,4,5,7,3,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,4,5,7,1,3,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,3,5,1,7,4,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,2,1,5,7,4,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [1,5,6,7,8,3,4,2]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [2,5,6,7,8,3,1,4]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>256 [3,2,1,6,7,8,4,5]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>9 [5,2,1,6,7,8,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [5,3,6,1,7,8,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [5,4,6,7,1,8,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [1,5,6,7,8,3,2,4]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [6,4,5,7,2,1,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [5,4,6,7,2,8,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [5,3,6,2,7,8,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [5,3,6,2,7,8,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [6,3,5,2,7,1,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,3,4,2,1,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,3,4,1,2,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [4,3,6,2,7,8,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [4,3,6,2,7,8,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [3,4,6,7,2,8,5,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>216 [4,2,1,5,7,3,8,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>12 [4,3,6,1,7,8,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [1,5,6,7,8,2,4,3]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [1,5,6,7,8,4,2,3]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [3,4,6,7,1,8,5,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>216 [4,3,6,1,7,8,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [2,3,6,1,7,8,5,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>72 [2,5,6,7,8,1,4,3]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>256 [2,1,4,3,6,5,8,7,9]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1 [2,4,1,3,6,5,8,7,9]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>3 [2,4,1,6,3,5,8,7,9]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>9 [2,4,1,6,3,8,5,7,9]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>27 [2,4,1,6,3,7,5,9,8]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>18 [2,4,1,5,3,7,6,9,8]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>6 [2,3,1,5,4,7,6,9,8]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,3,2,5,4,7,6,9,8]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [2,4,1,3,6,5,8,7,10,9]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3 [2,4,1,6,3,5,8,7,10,9]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>9 [2,4,1,6,3,8,5,7,10,9]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>27 [2,4,1,6,3,8,5,10,7,9]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>81 [2,4,1,6,3,7,5,8,9]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>18 [2,4,1,6,3,8,5,9,7,10]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>54 [2,4,1,5,3,8,6,9,7]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>12 [2,4,1,6,3,7,5,9,8,10]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>18 [2,3,1,6,4,7,5,9,8]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>4 [2,4,1,5,3,7,6,9,8,10]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,4,2,5,3,7,6,9,8]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>2 [2,3,1,5,4,7,6,9,8,10]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,3,2,5,4,7,6,9,8,10]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1 [7,1,2,3,4,5,6,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>1 [6,8,2,4,5,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,8,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [7,8,1,4,5,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,8,7,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,3,6,1,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,1,6,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,4,7,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,1,8,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,1,8,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,8,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,3,8,5,2,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,1,8,3,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,1,8,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,8,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,3,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,8,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,2,8,3,5,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,1,2,3,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,3,8,1,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,8,1,3,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,4,1,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,3,1,4,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,1,6,4,2,8,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,6,3,8,7,1,5,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,6,3,8,5,1,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,5,1,3,8,4,7,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [2,4,8,1,3,7,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,4,8,3,7,1,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,4,8,3,7,6,1,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,1,5,4,8,2,7,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [5,3,1,4,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,3,8,4,7,1,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,8,2,3,7,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,3,7,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,2,3,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,8,1,5,2,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,3,8,1,2,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,3,8,2,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,4,8,2,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,4,8,1,2,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,1,2,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,3,1,6,4,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [5,1,6,2,8,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [4,1,5,8,2,7,6,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,1,2,5,8,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,6,2,8,7,5,1,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,2,6,1,8,7,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,3,1,5,8,2,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,5,2,8,7,1,4,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,4,8,7,2,6,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,7,1,2,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,1,7,2,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,1,2,7,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,2,7,1,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,2,7,6,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,2,5,8,1,7,6,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [2,3,5,1,8,7,6,4]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>24 [7,8,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,4,1,2,7,3,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [2,3,7,5,4,1,8,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [6,3,1,5,4,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [7,8,1,5,4,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,2,1,5,4,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,4,2,1,7,3,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [4,3,7,5,8,6,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,2,7,1,8,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [2,7,6,5,3,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,6,5,3,1,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,7,1,4,8,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [3,7,6,4,8,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,6,3,8,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,6,5,2,1,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,6,5,2,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,6,5,1,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,6,5,1,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,7,6,5,3,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [6,1,3,5,4,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [1,7,2,4,8,3,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,4,2,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,1,8,2,6,3,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,7,2,1,5,3,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,1,6,2,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [1,7,2,6,8,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,2,8,5,4,6,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,7,6,3,5,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,1,2,5,3,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [3,7,6,5,2,4,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,6,5,1,4,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [3,7,6,5,2,1,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [1,7,6,5,8,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,7,6,5,8,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,7,6,5,1,2,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [4,7,6,8,3,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [2,7,6,5,1,4,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,7,6,5,8,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,6,5,8,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [6,3,2,1,7,4,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [4,2,1,7,3,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [7,3,1,5,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,1,5,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,1,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,7,4,2,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [4,7,2,5,3,1,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [2,7,5,4,1,3,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [7,5,4,3,2,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,3,2,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,2,1,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,6,3,2,8,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [5,7,4,3,2,8,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [2,7,3,6,4,8,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [6,2,7,5,3,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [7,1,8,5,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,1,6,2,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,6,2,3,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,3,2,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,8,3,2,7,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,3,1,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,5,7,4,3,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,7,2,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,6,1,7,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,4,6,7,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,2,8,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,3,7,5,8,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [3,7,2,6,8,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,6,5,8,1,4,2,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,6,5,8,4,1,3,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,5,4,8,3,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,4,3,7,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,7,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,5,8,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,3,6,8,2,1,5,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [6,3,5,1,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,4,1,5,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,2,5,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,4,1,6,8,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [6,5,2,1,7,8,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,3,7,4,8,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [4,7,2,5,8,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,3,1,8,4,7,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,2,8,7,3,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,3,8,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,5,3,7,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,8,1,7,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,8,1,7,3,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,8,2,1,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,6,8,1,4,7,5,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,7,3,8,1,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,4,7,8,1,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,3,7,8,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [2,5,8,7,1,3,6,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,3,8,7,2,1,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,3,7,6,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,6,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,8,7,6,2,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,4,8,7,6,1,3,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,5,8,7,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,7,3,8,6,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [7,5,8,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,7,3,6,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,6,2,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,6,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,4,1,2,5,6,7,8,9]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>3 [3,2,1,4,5,6,7,8,9]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [4,3,2,1,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [5,4,3,2,1,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [6,2,7,8,9,1,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>125 [6,5,4,3,2,1,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [7,8,5,6,3,4,1,2,9]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>7 [7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>1 [8,6,9,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,6,4,3,9,2,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [8,6,5,4,3,2,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [3,2,1,4,5,6,7,8,9,10]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [4,3,2,1,5,6,7,8,9,10]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [5,4,3,2,1,6,7,8,9,10]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [6,5,4,3,2,1,7,8,9,10]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [7,6,5,4,3,2,1,8,9,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [8,5,9,10,2,6,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,7,6,5,4,3,2,1,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>1 [9,7,5,4,3,10,2,8,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [3,6,5,1,2,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [3,7,5,8,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,8,5,7,2,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,1,7,8,4,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,1,2,6,4,3,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [6,1,2,5,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [4,1,5,7,8,3,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>72 [4,1,5,8,7,3,2,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,7,1,8,3,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,1,7,8,5,2,3,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [5,1,7,4,8,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [7,5,3,8,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,1,5,8,7,3,4,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [5,1,8,4,7,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,8,7,5,2,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,7,1,6,3,2,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [6,1,2,3,7,5,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [7,1,2,3,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,2,3,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,8,1,4,3,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,7,3,4,8,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [7,8,3,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,7,1,4,3,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [8,1,2,3,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,6,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,3,6,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,2,3,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,1,2,3,7,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,5,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,8,2,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,2,7,3,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,2,8,3,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [3,8,7,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,8,1,4,2,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,6,8,1,4,2,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,5,7,8,2,4,1,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [3,6,7,1,4,2,8,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [7,6,2,8,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,2,7,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,4,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,7,1,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,1,7,3,4,6,8,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [6,7,3,2,4,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [8,7,2,4,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,3,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,2,3,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,1,2,3,7,8,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [5,1,2,3,8,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,1,2,3,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,1,2,3,5,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,6,2,4,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,3,2,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,3,2,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,2,4,3,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,2,3,5,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,1,2,3,6,8,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [7,8,1,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,2,8,5,4,7,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,3,6,8,4,7,1,5]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [2,4,8,1,7,3,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,5,7,6,1,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [7,5,1,2,4,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,6,1,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,4,2,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,8,1,4,7,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,1,7,3,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,1,3,6,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,1,6,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,1,4,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,3,6,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,2,3,6,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,8,1,2,7,3,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,5,8,2,7,6,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,2,7,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,2,7,6,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,2,8,1,7,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,2,1,7,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,4,8,7,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,5,8,4,1,7,6,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,8,7,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,3,8,4,1,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,2,8,7,6,3,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,2,8,7,6,5,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,8,7,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,7,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,3,1,8,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,3,7,6,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,3,8,7,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [1,5,8,4,7,2,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,4,7,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,7,4,6,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,5,1,2,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,6,3,1,2,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [5,6,2,4,3,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [5,6,1,2,4,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [4,5,8,1,7,2,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,8,1,7,2,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,1,8,7,4,6,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,5,1,8,7,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [4,5,8,3,1,7,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,2,8,7,1,3,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,4,8,7,6,2,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,1,4,8,7,6,2,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [3,4,8,7,6,5,1,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,7,6,2,5,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,5,8,3,1,7,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [1,2,7,5,8,6,4,3]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [7,1,4,8,2,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,8,1,3,7,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,8,1,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [2,3,7,8,1,6,5,4]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [2,7,8,1,3,6,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [8,1,2,6,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,6,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,7,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,1,6,7,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,8,3,7,1,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,8,6,4,7,1,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,3,4,1,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,7,4,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,6,8,3,7,5,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,8,1,6,7,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,5,7,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,2,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,4,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,7,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,4,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,5,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,7,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,2,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,1,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,8,3,7,2,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [8,3,5,7,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,7,1,3,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,4,7,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,7,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,4,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,3,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,2,8,1,7,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [1,8,4,5,7,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,8,7,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,3,5,7,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,8,3,7,5,2,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,3,8,2,7,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,4,2,7,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,6,4,7,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,7,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,5,7,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,3,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,2,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,5,7,1,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,3,4,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,5,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,7,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,3,2,8,5,4,7,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [4,2,8,5,3,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,2,1,8,4,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,8,4,3,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,8,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,4,8,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,3,4,8,2,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,3,4,1,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [8,1,4,5,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,4,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,3,2,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,3,2,1,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,6,3,2,7,8,4,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [3,6,4,2,7,8,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [8,1,6,4,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,4,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,4,1,3,6,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [3,7,4,2,6,1,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,3,2,6,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,7,3,2,5,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,3,2,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,7,5,6,2,3,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [2,7,5,6,1,3,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [4,6,5,7,2,8,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [5,6,4,7,2,8,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [6,5,4,1,7,2,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [7,5,4,6,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,4,5,7,1,8,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,4,6,1,7,8,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [8,1,5,6,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,6,8,7,1,2,5]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [5,3,6,8,7,2,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,3,5,1,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,3,5,8,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,8,5,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,8,5,1,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,2,1,8,6,7,3,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [1,3,2,8,6,7,4,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,3,8,6,7,1,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [8,1,3,2,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,8,7,1,6,5,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [4,2,8,7,6,1,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,2,8,7,6,4,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,2,1,8,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,6,1,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,7,8,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,3,7,8,6,4,1,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,3,1,7,8,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,4,7,8,6,1,5,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [8,1,5,7,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,7,6,8,1,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [4,5,7,6,8,3,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [5,4,1,7,6,8,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [6,4,7,5,8,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,4,6,5,1,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,6,4,3,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,1,7,4,3,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [4,6,7,5,3,8,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [3,6,7,5,1,4,8,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [8,1,6,7,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,6,1,5,4,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [3,7,6,5,1,4,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [4,7,6,5,3,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [8,6,4,3,1,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,1,3,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,1,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,1,7,2,4,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [8,7,1,2,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,2,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,2,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,6,4,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,3,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,5,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,5,2,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,2,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,2,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,2,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,4,2,3,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [7,1,5,8,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,7,8,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,8,1,7,3,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,5,7,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,2,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,4,2,3,8,7,5,6]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [6,1,2,8,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,2,4,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,1,8,4,6,7,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,1,2,4,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,2,6,8,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,1,2,7,8,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,1,2,7,4,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,7,1,3,8,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,1,8,4,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [7,1,5,3,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,4,5,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,7,3,1,5,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,8,7,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,7,4,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,1,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,2,8,4,7,5,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,1,2,8,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,4,2,3,8,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,4,2,3,8,5,7,6]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [5,8,1,7,2,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,3,4,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,1,8,6,4,7,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,1,2,6,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,2,8,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,1,2,8,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,2,8,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,1,7,8,4,6,5,2]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [3,1,8,7,6,4,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,1,2,7,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,7,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,3,6,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,5,6,3,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,8,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,8,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,3,1,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,5,8,3,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,3,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,6,3,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,6,3,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,6,3,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,3,6,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,3,1,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,1,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,3,6,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,3,6,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,3,6,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,3,8,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,3,8,1,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,3,1,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,1,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,1,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,1,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,1,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,1,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,3,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,3,6,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,6,4,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,8,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,8,6,3,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,6,8,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,6,3,8,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,4,1,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,6,3,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,6,3,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,6,3,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,6,3,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,6,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,6,8,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,6,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,3,1,6,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,3,1,6,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,3,1,2,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,3,1,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,3,1,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,3,4,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,4,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,3,1,4,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,6,2,5,4,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [3,5,2,8,4,7,6,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [5,4,7,3,2,8,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,4,8,3,2,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,5,3,2,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,3,2,6,4,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [4,5,8,3,2,7,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,7,6,3,8,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,8,6,3,7,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,5,3,2,7,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,3,2,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,2,8,4,7,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [2,1,5,8,4,7,6,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [5,3,2,7,4,8,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,7,4,3,2,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [4,7,5,3,2,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,8,3,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,6,8,3,7,5,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,6,4,3,8,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,2,6,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,1,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,3,2,6,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,3,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,3,2,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,6,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,3,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,3,8,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,7,2,6,8,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,8,2,6,7,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,5,4,7,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,2,8,6,5,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,6,2,8,7,5,4,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,4,7,3,8,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,4,8,3,7,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,8,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,5,3,2,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,4,3,2,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,2,5,4,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,1,7,5,4,8,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [7,3,2,8,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,8,4,3,6,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,3,7,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,3,2,8,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,2,7,8,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,7,4,3,8,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [2,3,1,4,5,6,7,8,9]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [2,3,4,1,5,6,7,8,9]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>4 [2,3,4,5,1,6,7,8,9]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>8 [2,3,4,5,6,1,7,8,9]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>16 [2,3,1,4,5,6,7,8,9,10]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>2 [2,4,3,1,5,6,7,8,9]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>3 [2,3,4,1,5,6,7,8,9,10]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>4 [2,3,4,5,1,6,7,8,9,10]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>8 [2,3,4,5,6,1,7,8,9,10]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>16 [2,3,4,5,6,7,1,8,9,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>32 [2,3,4,5,6,8,7,1,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>48 [2,3,4,5,6,7,8,1,9,10]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>64 [2,3,4,5,6,7,9,8,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>96 [4,6,8,3,5,7,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,8,1,2,4,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,5,8,2,4,7,1,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [8,3,5,2,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,2,8,3,1,6,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,2,5,8,3,7,1,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [2,1,6,8,4,7,3,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [5,3,6,8,4,7,1,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [3,1,2,6,8,5,7,4]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [5,4,8,3,2,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,3,7,2,6,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [4,3,1,7,8,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [7,5,1,4,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,4,7,3,8,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,8,4,7,6,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,3,5,1,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,3,1,7,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,4,3,5,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,6,3,1,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [4,7,3,6,5,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,3,7,6,4,2,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [1,8,3,6,2,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,8,7,4,2,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,7,5,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,6,4,3,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,6,2,8,4,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,1,3,2,6,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,2,1,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,3,2,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [2,8,5,3,1,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,1,7,3,8,5,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,2,3,7,8,5,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [1,6,7,2,8,4,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,7,1,8,2,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,1,2,7,8,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [2,4,1,7,8,6,3,5]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>48 [6,2,8,4,3,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,3,2,1,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,8,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,8,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,6,1,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,6,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,8,7,5,1,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,3,6,5,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,3,5,2,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,6,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,4,1,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,1,7,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,2,4,1,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,5,6,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,3,7,5,4,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,1,6,7,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,6,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,1,7,5,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,7,2,6,4,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,2,7,5,4,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [2,1,8,6,5,4,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,5,4,3,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,7,2,8,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,8,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,3,8,6,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,7,3,2,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,4,3,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [8,6,5,3,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,2,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,1,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,7,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,8,3,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,5,8,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,7,4,1,8,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,4,3,1,8,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [1,8,7,2,5,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,3,7,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,3,1,8,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [7,4,6,3,5,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,5,4,8,7,1,2,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [8,4,1,6,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,4,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,6,8,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,6,5,2,8,1,4,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,2,6,3,8,1,5,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [7,3,8,2,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,5,2,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,7,6,4,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,7,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,7,1,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,6,8,2,1,5,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,4,8,1,6,5,3,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,2,8,1,5,7,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,5,7,6,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,7,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,7,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,4,6,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,5,4,7,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,1,5,8,6,4,3,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [7,2,5,6,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,2,5,7,8,4,3,6]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>24 [1,2,7,4,8,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,2,7,8,3,6,5,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [7,1,8,6,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,7,6,3,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,8,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,6,4,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,6,2,4,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,4,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,1,4,5,8,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,1,6,4,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,4,5,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,4,6,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,2,3,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,5,4,3,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,3,4,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,5,4,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,5,6,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,6,5,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,6,2,5,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,2,4,7,8,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [5,6,2,4,8,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [6,3,8,2,4,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,7,2,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,7,8,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,3,4,2,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,4,7,2,5,8,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [4,6,8,1,3,5,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,3,8,1,2,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,8,3,1,5,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,7,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,4,1,6,2,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [8,4,7,2,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,8,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [2,8,6,1,5,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,6,5,1,3,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,5,1,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,6,4,1,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,5,2,1,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [8,4,5,3,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,5,2,8,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [7,3,8,4,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,3,4,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,2,8,3,6,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,8,5,7,2,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,2,7,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,5,2,1,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,8,5,3,1,4,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,6,8,2,4,3,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,2,4,3,7,8,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [1,5,8,2,4,7,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,5,6,7,2,4,8,3]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>32 [1,5,8,2,4,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,5,8,3,2,4,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,7,6,2,8,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,5,8,7,3,2,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,7,4,2,8,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,5,2,8,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,5,8,3,2,4,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,6,5,2,3,7,8,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [1,6,8,4,2,3,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,5,2,3,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,4,2,3,7,8,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [1,5,8,6,2,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,7,4,2,8,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,5,2,8,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,3,5,6,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,7,5,6,1,4,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [8,2,4,1,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,4,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,1,4,3,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,6,1,4,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,7,1,6,3,5,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [3,1,4,7,6,5,8,2]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [6,1,7,4,3,5,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [7,1,6,4,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,6,4,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,3,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,1,3,8,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [7,4,1,3,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,7,3,1,2,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,8,1,2,6,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [6,8,1,4,2,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,8,1,3,7,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,1,3,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,7,3,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,4,3,7,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,3,4,7,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,7,8,4,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,4,6,8,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [2,4,3,7,8,6,1,5]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>48 [1,4,7,3,8,2,5,6]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,7,6,8,3,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [2,5,3,4,8,6,1,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [3,7,5,4,8,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [7,1,3,4,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,1,4,3,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,1,7,3,8,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [8,1,4,3,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,3,7,8,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [5,2,3,4,8,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [2,7,5,6,3,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [5,7,2,6,3,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,2,6,8,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [7,2,5,6,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,2,3,8,5,6,1,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,2,3,8,7,6,1,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,2,3,7,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,8,3,7,2,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,7,8,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [4,7,1,8,2,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [3,7,4,8,5,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,4,3,8,5,6,1,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [7,5,8,6,3,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,5,8,7,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,5,7,6,3,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,5,8,6,2,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,8,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [1,8,7,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,8,7,5,3,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,7,6,8,3,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,6,8,4,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,4,6,5,8,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,5,4,8,6,7,1,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,8,4,6,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,6,4,7,5,8,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [1,8,4,6,5,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,8,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,5,2,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,2,6,5,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,2,8,5,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,6,8,2,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,6,8,4,5,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [5,7,6,8,1,4,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [7,8,5,6,1,3,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,8,6,7,1,3,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,7,6,8,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,8,1,3,2,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,6,7,2,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,8,1,4,2,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,4,2,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,3,6,5,8,7,1,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,4,6,5,7,8,1,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>162 [3,4,1,5,6,7,8,9,2]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>96 [3,4,5,6,7,8,1,9,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>486 [3,4,5,6,1,7,8,9,10,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>432 [3,4,5,6,7,1,2,9,8]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>81 [3,4,5,6,7,8,1,2,9]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>243 [3,4,5,6,7,8,9,1,10,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>1458 [1,4,7,6,2,5,8,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [1,2,6,5,3,7,4,8]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,2,6,5,3,7,8,4]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,2,6,4,3,7,8,5]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,2,6,4,3,7,5,8]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,4,7,3,2,5,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [7,6,5,4,3,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,8,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,6,5,4,3,1,9,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [7,9,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [9,8,7,6,5,4,3,1,10,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [7,1,5,4,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,6,5,4,8,1,7,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,8,1,4,3,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,5,4,3,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,9,6,5,4,3,2,8,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,10,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [10,9,8,7,6,5,4,3,1,11,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [8,1,6,5,4,3,9,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [7,6,1,4,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,6,5,8,3,1,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,8,5,1,3,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,2,4,3,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,9,1,5,4,3,2,8,6]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [3,8,5,4,7,2,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,9,6,5,4,3,8,1,7]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,10,7,6,5,4,3,2,9,8]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,11,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0]=>45 [11,10,9,8,7,6,5,4,3,1,12,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [9,1,7,6,5,4,3,10,8,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [8,7,1,5,4,3,9,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [7,6,5,1,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,8,5,4,1,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,5,2,3,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,9,6,1,4,3,2,8,5]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [6,8,2,4,3,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,3,4,7,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,9,2,5,4,3,8,7,6]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,10,1,6,5,4,3,2,9,7]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,5,8,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,8,5,7,3,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,9,6,5,4,8,2,1,7]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [2,10,7,6,5,4,3,9,1,8]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,11,8,7,6,5,4,3,2,10,9]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,1,7,6,8,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [6,4,8,5,2,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,1,8,6,7,4,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,4,7,5,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,6,8,2,1,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,4,5,8,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,6,5,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,6,5,2,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,7,5,6,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,7,5,1,8,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [5,1,8,7,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,8,6,7,4,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,6,5,2,4,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [5,2,3,6,4,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [6,1,4,5,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [3,8,7,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,7,1,2,4,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [4,3,7,6,8,2,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,3,6,8,1,7,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,3,7,2,4,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [7,4,8,6,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,8,2,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,6,4,7,5,1,8,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [8,4,7,6,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,1,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,7,3,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,1,7,4,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,3,8,2,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,4,1,5,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,5,8,7,3,6,1,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,1,5,8,7,4,6,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [8,3,5,6,7,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,3,2,8,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,2,7,1,8,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,1,7,2,8,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [2,4,8,7,3,5,6,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,7,8,3,1,5,6,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [3,4,7,2,8,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [3,7,1,4,8,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [7,2,3,4,8,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,1,8,5,2,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,1,7,4,5,8,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [2,1,8,3,6,7,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,2,1,6,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,2,1,5,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,1,6,8,4,7,2,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [3,6,8,7,5,2,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,4,8,6,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,6,4,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,1,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,6,4,8,5,3,7,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [7,3,5,8,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,4,7,1,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,7,5,6,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,4,8,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,2,8,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,7,8,1,3,5,6,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [8,7,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,2,7,3,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,1,8,7,2,5,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,8,1,7,2,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,3,7,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,7,1,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,8,4,6,7,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,3,8,2,7,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,8,4,2,1,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,3,7,1,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,2,7,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,1,3,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,3,8,6,2,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,6,5,2,8,3,1,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,3,7,5,1,8,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [6,8,5,2,7,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,2,5,4,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,6,8,1,4,5,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,8,1,2,4,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,1,6,2,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,1,2,5,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,1,6,2,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,6,5,8,2,3,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,3,8,6,2,5,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,3,6,1,4,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,6,8,4,5,1,7]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [2,7,5,4,3,8,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [6,3,8,7,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,8,4,3,7,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,4,3,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,4,3,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,1,5,3,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,8,6,1,7,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,6,5,7,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,6,8,2,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [6,1,8,7,4,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,5,4,3,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,6,3,4,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [2,5,8,6,3,4,7,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,1,3,8,5,6,7,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [6,5,8,4,3,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,6,5,2,8,1,7,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [7,2,8,1,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,5,2,3,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,2,5,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,3,1,5,6,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,3,2,5,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,2,3,1,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,3,5,6,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,1,2,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [7,5,1,8,2,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,5,8,1,2,4,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,5,8,1,2,3,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,2,7,1,8,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,8,4,1,2,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,4,8,2,3,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,3,6,7,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,3,1,6,8,4,7,5]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>12 [2,4,3,7,1,8,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>36 [2,7,1,4,3,8,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,4,1,8,6,3,7,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [8,4,1,3,6,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,1,7,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,3,6,5,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,3,5,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,5,8,7,3,6,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,2,8,6,1,7,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [8,2,5,6,1,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,1,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,1,8,3,7,5,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [4,7,1,6,2,8,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [6,1,5,3,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,8,6,3,7,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,6,1,5,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,6,8,5,1,2,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,5,2,4,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,1,4,8,2,6,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,8,2,5,1,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,4,8,5,2,6,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,2,1,8,5,6,7,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [7,2,1,5,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,8,4,5,1,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,4,8,3,7,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,3,4,8,5,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,3,4,8,1,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [7,6,1,2,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,8,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,4,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,5,4,8,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,4,8,1,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,5,1,6,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,1,6,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,4,1,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,4,7,1,2,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,5,4,7,8,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,5,3,7,1,4,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,5,3,1,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,5,1,4,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,1,6,4,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,4,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,3,7,1,4,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,4,3,1,5,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,4,1,5,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,5,4,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,4,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,5,3,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,4,1,5,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,5,4,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,4,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,3,1,2,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,5,3,8,1,4,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,6,8,1,4,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,7,2,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,1,2,5,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,3,8,1,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,3,1,2,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,5,1,4,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,6,4,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,5,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,4,3,1,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,4,3,1,5,7,2,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [7,4,1,5,3,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,5,4,3,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,4,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,5,3,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,4,3,1,5,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,7,3,8,4,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,4,5,1,8,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [4,7,5,6,2,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,5,6,1,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,5,6,3,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,7,5,8,4,6,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [4,5,3,8,6,7,1,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,8,3,6,5,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,4,7,1,8,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,6,1,7,3,8,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,6,1,8,2,7,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,6,1,8,4,7,2,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [4,8,1,6,5,7,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,1,8,6,7,2,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [7,8,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,8,2,3,1,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,2,8,1,4,3,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [2,6,4,8,1,5,3,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,8,3,6,1,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,3,4,1,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,8,2,5,3,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,3,6,2,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,3,6,4,5,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,7,2,8,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,5,8,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,5,8,2,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [2,7,5,6,3,4,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [6,7,2,5,3,4,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,7,1,5,3,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,5,8,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,8,6,7,2,3,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,7,2,3,1,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,2,8,1,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [2,7,5,8,1,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,3,1,8,4,7,5,6]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [7,8,2,3,1,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,6,1,4,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,6,7,1,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,1,4,3,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,7,2,5,4,6,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [4,5,1,8,2,7,3,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,8,2,5,1,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,5,2,8,1,6,3,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [7,1,5,8,4,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,7,1,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,7,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,7,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,1,8,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,1,3,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,8,2,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,2,8,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,2,3,8,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,7,1,5,2,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,5,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,3,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,3,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,7,3,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,2,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,7,3,4,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,2,5,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,1,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,7,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,1,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,7,3,1,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,3,1,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,7,2,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,7,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,1,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,1,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,1,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,1,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,1,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,3,7,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,3,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,4,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,4,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,4,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,4,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,5,8,4,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,3,6,4,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,8,6,4,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,4,7,5,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,5,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,5,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,6,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,6,3,5,1,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,7,2,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,7,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,1,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,1,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,1,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,7,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,2,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,7,4,1,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,7,2,1,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,1,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,1,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,5,4,1,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [3,8,5,6,7,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,7,5,8,6,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [2,5,7,8,6,3,4,1]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [4,8,5,7,6,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,3,2,1,5,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [6,2,1,5,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,8,1,3,7,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,2,3,6,1,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [3,7,4,2,8,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,2,6,8,5,7,3,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [6,4,2,7,3,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [8,1,6,7,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,5,8,7,6,3,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [6,4,7,8,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [4,1,3,7,6,2,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [8,5,1,6,3,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,7,1,5,2,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [8,4,6,1,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,6,7,3,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,4,3,8,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,7,5,8,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [6,4,3,2,7,8,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [2,4,8,5,7,1,3,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,7,1,4,6,8,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [7,8,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,4,3,8,7,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [7,6,8,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,5,7,1,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,7,2,8,4,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [3,4,8,6,5,2,1,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,7,6,1,4,5,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [6,5,8,2,1,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,3,5,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,2,5,8,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,7,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,6,8,5,4,3,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,1,8,5,6,2,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,6,4,8,7,3,5,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,2,8,4,3,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,8,2,7,6,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,1,8,2,7,5,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,8,1,2,6,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,4,3,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,4,8,6,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,4,7,2,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,1,8,4,3,7,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,8,2,4,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,8,4,2,3,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,4,3,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,3,1,6,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,1,3,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,7,3,5,4,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,2,3,8,4,5,7,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,8,3,4,5,7,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,3,8,4,6,7,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,8,2,3,5,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,8,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,6,7,8,2,3,5,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [1,7,8,2,5,3,6,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,7,8,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,2,8,3,6,4,5,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,8,2,3,6,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,3,5,4,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,8,3,6,4,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,3,2,8,4,6,7,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,8,2,3,4,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,8,2,4,3,6,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,6,3,1,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,3,1,5,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,8,3,1,5,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,5,1,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,4,5,1,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,2,1,6,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,6,1,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,6,5,1,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,5,4,1,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [5,8,6,4,1,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,6,4,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,6,7,4,1,8,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [6,5,7,4,1,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,4,7,5,1,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,2,1,7,5,3,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,3,8,1,5,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,5,1,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,4,1,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,6,8,4,1,7,2,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [4,6,8,5,7,1,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,5,8,6,7,1,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,4,8,6,1,7,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,8,1,6,7,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,1,8,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,2,1,7,6,8,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,4,7,6,1,8,2,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,5,7,6,8,1,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [4,6,7,5,8,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,8,6,5,7,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,5,6,7,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,5,6,8,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,6,5,7,8,1,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [5,7,4,6,1,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,8,4,6,1,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,1,6,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,3,1,6,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,6,3,1,7,8,2,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [6,2,1,4,3,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,8,3,1,7,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,4,8,1,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,2,1,6,8,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,4,6,8,1,7,2,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,6,8,7,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [4,7,5,8,6,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,8,5,7,6,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,5,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,6,8,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,6,7,8,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,5,7,8,6,1,2,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [5,4,7,8,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,3,7,1,8,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,2,1,7,8,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,3,8,1,7,6,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,7,1,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,6,8,7,5,1,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,8,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,8,7,6,5,1,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,7,5,3,6,4,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,3,1,8,6,5,4,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [2,5,3,1,8,6,4,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [4,2,8,3,1,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,3,2,6,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,2,1,4,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [1,2,8,3,6,4,7,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,6,3,4,8,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [2,1,3,8,7,5,4,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,6,4,7,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,7,6,4,8,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [2,1,3,8,5,4,7,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [7,1,8,4,2,3,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,1,8,4,3,5,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,4,2,8,3,1,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [3,5,8,2,4,1,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,2,1,8,3,5,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [1,8,7,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,7,3,6,4,8,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,2,8,6,3,7,4,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,3,8,6,4,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,2,3,8,4,7,6,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [4,2,1,8,3,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [8,3,2,1,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,4,2,7,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,6,3,4,7,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,3,8,4,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,2,3,8,7,4,6,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,7,6,4,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,8,5,7,1,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,5,7,2,6,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,4,8,6,2,5,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,6,1,2,5,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,5,7,1,4,8,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [2,4,8,1,5,7,6,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,4,3,8,1,6,5,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,8,1,7,5,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,3,8,1,6,5,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,4,8,1,3,5,7,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,8,6,7,2,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,1,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,1,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,4,8,6,1,5,7,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,8,5,7,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,2,8,5,6,1,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,8,5,7,2,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,4,8,6,2,1,5,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,8,6,7,2,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,3,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,3,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,2,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,2,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,2,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,1,7,5,2,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,3,2,8,5,1,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,8,5,1,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,6,7,1,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,1,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,2,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,2,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,1,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,3,8,5,1,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,2,8,5,1,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,2,4,8,6,1,5,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [4,8,6,7,1,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,1,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,2,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,8,5,2,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,5,1,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,5,7,1,4,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,4,7,1,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,5,2,8,4,6,1,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,8,4,7,2,5,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,1,3,8,5,2,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,8,6,7,3,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,3,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,7,5,2,8,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,8,6,7,2,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,3,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,4,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,4,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,4,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,3,1,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,3,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,8,5,3,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,6,7,3,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,4,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,7,4,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,3,5,8,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,8,7,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,1,8,3,6,7,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,4,7,1,5,8,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [3,6,1,4,7,8,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [1,6,8,4,7,5,2,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,8,1,3,5,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,1,4,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,8,1,6,5,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,1,7,3,8,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,1,8,6,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,2,7,6,5,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,6,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,6,7,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,4,1,6,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,1,3,2,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [1,8,6,2,5,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,7,2,6,8,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [8,7,3,6,4,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,7,4,1,6,8,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [3,7,2,4,5,1,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [1,8,6,4,5,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,4,6,5,1,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,5,8,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,6,8,7,3,1,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [2,5,4,3,6,8,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>24 [3,8,5,4,6,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,1,3,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,1,2,7,5,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [4,1,8,3,6,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,3,7,4,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,7,8,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [5,4,8,2,7,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,2,7,3,6,5,8,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [2,8,7,6,3,4,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,8,2,6,3,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,7,5,8,6,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,1,7,8,4,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [8,2,7,5,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,8,1,4,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,8,4,5,6,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,5,8,7,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,6,7,2,4,8,1,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [2,8,5,6,4,3,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,1,5,2,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,6,1,8,5,7,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,7,1,2,8,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [1,4,7,2,8,5,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [1,7,3,5,8,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,3,5,8,6,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,6,8,1,5,7,2,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,4,6,5,8,1,7,2]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [6,8,1,5,7,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,1,2,5,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,2,5,8,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,6,8,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,6,8,1,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,1,5,8,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [4,7,5,8,3,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,2,1,8,5,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [7,6,8,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,2,7,6,8,3,5,4]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [3,7,6,8,2,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [7,4,2,1,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,7,4,1,8,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,4,3,1,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [2,7,4,1,6,8,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,4,2,6,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,2,5,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,7,6,8,1,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [7,4,1,2,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,4,2,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,8,2,5,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,1,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,6,8,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,2,6,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,2,6,8,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,6,8,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,6,8,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,5,8,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,5,8,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,6,7,1,8,5,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [7,2,6,8,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,8,2,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,6,8,3,1,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,7,1,6,8,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [6,7,3,1,8,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,1,8,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,2,1,6,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,8,3,2,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,7,8,5,6,1,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,6,5,8,7,1,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,6,4,8,1,2,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [8,1,5,6,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,5,1,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,1,4,6,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,6,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,1,6,8,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,2,4,1,5,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,2,1,5,4,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,4,5,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,5,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,4,1,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,3,4,2,1,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,6,3,8,1,4,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [8,1,7,2,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,1,2,4,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,7,8,2,3,1,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [5,6,2,8,1,4,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [6,5,2,1,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,5,1,3,2,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,6,3,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,3,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,1,4,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,4,3,5,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,3,1,5,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,8,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,2,1,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,2,3,4,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,3,4,7,8,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [7,8,3,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,6,4,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,2,3,8,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,3,7,8,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,2,6,3,8,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [6,3,2,5,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,3,2,8,4,7,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,3,8,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,3,7,8,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,2,4,1,7,3,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,3,2,7,4,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,3,2,5,7,8,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,7,2,3,6,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,8,2,3,6,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,5,8,3,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,5,6,8,3,2,1,7]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [4,6,8,5,3,2,1,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,6,8,4,3,7,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,1,4,2,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [5,2,8,3,4,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,8,6,3,2,1,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,6,5,8,3,2,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,7,5,6,3,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [6,2,3,4,5,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,1,4,3,7,2,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [5,1,4,3,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,7,2,4,1,8,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,1,4,2,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,1,4,2,7,8,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,8,2,4,1,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,7,4,1,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,1,4,3,6,2,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [5,8,6,4,3,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,4,2,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,5,3,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,5,6,3,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,7,8,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,4,8,7,3,2,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,6,8,7,3,2,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,7,8,3,2,1,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,7,6,8,3,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,8,5,3,2,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [5,7,1,3,4,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,1,8,4,2,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,7,4,2,3,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,8,1,3,4,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,5,3,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,8,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,8,7,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,6,3,7,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,3,6,7,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,1,6,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,8,1,6,2,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,7,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,8,4,3,7,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,4,7,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,7,4,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,1,2,4,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,7,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,6,3,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,7,3,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,8,2,7,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,2,8,1,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,1,3,8,2,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,1,8,3,7,5,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,8,7,3,5,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,8,1,5,4,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [7,3,8,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,4,8,1,6,2,5,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,7,2,5,1,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,2,7,5,6,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,2,1,8,6,5,7]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,6,7,8,4,1,2,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,1,7,8,5,3,2,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [4,1,2,8,3,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [1,4,3,2,8,6,5,7]=>[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,2,3,1,8,6,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,7,6,8,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [4,7,1,8,5,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [2,6,8,7,4,3,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [3,7,8,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,8,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,2,3,8,1,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,1,8,2,6,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,7,8,5,2,1,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,7,2,8,4,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [4,2,8,6,3,1,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,6,8,4,7,3,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,4,8,6,3,1,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [7,3,6,8,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,2,8,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,7,3,8,4,6,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [3,2,4,8,1,6,5,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [7,3,8,6,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,2,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,4,8,3,6,1,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,2,8,7,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,1,8,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,2,8,4,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,3,4,2,8,6,5,7]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [3,1,4,2,8,6,5,7]=>[1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [3,1,4,8,2,6,5,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [7,3,4,8,5,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,7,4,8,5,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [6,7,2,8,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [2,3,1,4,8,6,5,7]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,2,3,4,8,6,5,7]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [4,8,3,6,2,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,5,8,2,6,1,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,6,5,8,2,4,1,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,3,8,7,2,4,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,8,4,5,7,3,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,2,4,5,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,8,1,2,5,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,3,5,2,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,5,1,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,6,1,5,8,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,1,4,5,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,6,4,8,1,3,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [6,5,4,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,4,3,7,2,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,8,4,3,7,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,8,3,7,2,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,4,6,3,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,7,8,5,3,1,2,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [5,7,3,4,1,2,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [8,5,4,7,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,4,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,8,1,6,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,7,8,3,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [5,3,8,6,7,4,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,6,2,7,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,2,1,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,1,3,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,8,2,3,6,7,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,2,3,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,6,4,7,2,3,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [2,5,7,4,1,8,3,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,2,6,1,7,8,3,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [4,2,7,6,3,8,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [6,4,8,7,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,2,7,4,1,6,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,3,2,1,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [3,7,1,8,4,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [8,1,3,7,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,7,6,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,2,7,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,2,8,7,1,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [7,3,2,8,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,8,7,2,6,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,2,7,8,6,1,5,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [6,8,2,4,7,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,1,8,7,3,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,2,1,6,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,3,1,7,5,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,1,6,7,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,2,8,1,5,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,7,8,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [8,7,2,5,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,5,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,8,1,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,2,7,8,5,6,4,3]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [7,4,8,1,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,7,1,8,2,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,1,7,3,8,6,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [8,2,1,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,7,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,8,4,3,2,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,7,3,2,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,4,7,3,2,1,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,5,3,7,2,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [5,8,3,6,2,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,7,8,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,3,7,6,2,1,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [3,8,7,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,4,2,6,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,2,5,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,2,6,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,2,5,1,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,2,5,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,4,2,7,5,1,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,3,2,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [3,8,2,6,5,1,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,2,7,8,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,2,7,6,8,1,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [2,8,7,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,5,4,3,1,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,4,7,3,1,5,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,4,7,3,1,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,4,3,7,1,5,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,3,7,8,1,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,3,7,6,1,4,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [3,8,7,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,5,4,2,1,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,4,7,2,1,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [4,8,7,2,1,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,2,1,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,2,1,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,7,2,1,4,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [3,8,7,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,5,2,7,1,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [5,8,2,6,1,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,2,7,1,5,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,2,7,8,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,5,4,1,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,8,4,1,6,7,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,7,1,5,8,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,4,7,1,6,8,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,8,7,1,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,3,1,6,8,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [4,8,3,1,5,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,2,1,6,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,2,1,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [3,8,2,1,5,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,2,7,1,5,4,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,2,7,1,6,4,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [2,8,7,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,5,1,7,8,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,8,1,6,7,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,1,7,5,8,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,4,1,6,7,8,3,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [4,8,1,6,5,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,1,7,5,4,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [4,3,1,6,5,7,8,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>12 [3,8,1,6,5,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,1,6,5,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,1,7,8,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [4,1,7,6,5,8,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,1,7,6,5,4,8,2]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [4,5,8,1,2,6,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [1,7,3,5,6,2,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [8,1,3,5,7,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,1,7,2,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,4,5,6,8,1,7,2]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>162 [4,5,8,2,6,7,1,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,2,3,5,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,2,3,5,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [8,1,2,3,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,8,1,3,5,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,8,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [4,5,8,1,7,6,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,8,7,2,1,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,7,3,5,6,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,7,2,1,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,6,4,1,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,3,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,3,6,7,8,1,5,4]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>128 [3,6,8,1,2,5,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,4,1,8,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,4,2,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,8,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,7,5,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,2,6,5,4,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,6,3,2,5,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [8,6,3,1,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,6,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,7,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,1,7,5,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,2,6,7,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,8,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,8,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [7,3,1,8,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,7,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,3,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,6,3,7,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,6,1,5,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,7,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,7,5,4,3,8,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [2,1,8,4,5,3,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,8,3,6,5,4]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [2,1,8,5,7,6,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,4,8,5,7,3,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [8,5,3,1,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,4,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,1,5,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,3,7,5,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,7,4,6,8,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,8,3,7,6,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,4,8,6,3,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,2,6,3,8,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,6,3,2,7,8,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [3,8,2,4,7,5,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,6,8,7,5,4,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,5,2,7,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,2,1,7,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,8,1,5,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,3,2,4,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,2,3,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,4,3,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,8,3,1,5,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,2,8,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,3,1,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,6,1,4,3,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [5,7,1,8,3,6,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,8,1,4,5,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,1,5,4,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [8,7,5,1,3,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,7,1,3,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [8,2,6,1,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,1,6,3,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,3,5,6,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,8,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,6,5,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,6,4,5,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,5,8,1,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,3,5,4,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [2,6,3,5,1,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [2,7,8,5,1,6,4,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [8,7,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,3,4,6,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,4,3,6,1,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [3,4,7,2,8,1,5,6]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [4,3,2,5,7,1,8,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>12 [4,2,3,5,8,1,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,2,8,4,7,1,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,2,4,7,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,4,7,1,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,3,4,5,7,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,6,5,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,3,8,4,6,7,1,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,4,3,5,8,7,1,6]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>24 [3,2,4,5,6,8,1,7]=>[1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>24 [5,6,8,1,4,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [1,3,5,7,8,6,2,4]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [3,5,7,8,6,1,2,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [3,5,1,6,8,2,7,4]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [5,6,4,8,2,1,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,1,6,3,8,4,7,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,1,2,6,8,3,7,4]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,7,1,8,6,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,1,7,5,2,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [2,6,7,5,1,8,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [5,7,2,8,6,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,5,7,8,6,2,1,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [5,1,7,8,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,1,3,7,8,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,2,7,8,4,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [6,2,7,5,1,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,2,7,5,4,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,7,5,2,4,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,7,2,5,3,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,4,5,2,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [5,1,7,8,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [2,5,7,8,6,3,1,4]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [5,1,7,8,6,3,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [6,3,7,5,1,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,7,5,1,4,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [5,7,8,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,7,4,1,5,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,3,1,7,5,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,7,5,4,2,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,3,2,7,5,8,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,7,4,2,5,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,2,7,4,5,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,2,3,7,5,8,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [7,5,1,6,3,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,1,6,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,6,1,3,8,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,6,1,3,8,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,3,5,1,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,5,1,8,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,7,5,1,8,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [2,6,7,1,5,8,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [2,6,7,4,1,8,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [2,6,7,4,1,8,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [2,6,7,1,5,8,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [3,6,5,1,8,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [3,6,5,1,8,4,2,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [3,7,5,4,8,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,7,5,4,8,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,6,1,5,8,7,3,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,6,1,5,8,7,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,6,1,5,8,2,7,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [7,5,1,6,2,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,1,6,2,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,6,1,5,8,2,3,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,7,1,5,8,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [2,3,4,7,8,1,6,5]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>64 [6,8,5,4,3,2,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [10,11,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>10 [7,9,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [8,9,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [6,8,5,4,3,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,4,3,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,5,4,3,1,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,7,6,5,4,3,9,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [8,7,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,7,6,5,4,3,1,8,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [11,10,9,8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [8,3,4,6,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,2,6,8,4,1,7]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [7,5,3,2,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,3,2,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,2,5,6,8,3,1,7]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [4,2,8,1,5,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,3,6,8,1,4,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,6,8,1,3,2,7]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [4,5,6,3,8,2,1,7]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>96 [4,5,3,7,2,8,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [6,4,7,3,2,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,1,4,7,3,2,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [1,7,8,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [5,1,7,3,8,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [2,5,7,4,1,8,6,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [5,3,7,1,4,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,4,3,1,7,8,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,4,1,7,3,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,6,3,7,8,4,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [5,1,6,3,7,8,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [5,6,1,3,7,8,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [5,6,1,7,8,3,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [6,7,2,4,1,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,2,1,4,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,4,7,3,1,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [2,5,6,3,7,8,4,1]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>144 [6,3,7,2,8,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,3,7,2,8,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,3,2,7,1,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [7,5,3,2,1,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,8,4,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,7,2,1,3,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [7,3,8,4,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,3,8,2,1,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,3,7,8,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [4,6,2,7,8,5,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [4,6,2,1,7,8,5,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [7,4,5,8,1,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,5,1,7,3,8,6,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [6,7,2,1,3,8,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,1,6,7,8,2,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [6,3,7,1,8,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,2,1,7,3,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,2,7,1,8,5,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,3,1,7,8,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,3,2,1,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [3,6,5,8,2,1,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,5,2,1,3,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [3,2,6,4,5,8,1,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [5,3,2,1,6,8,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [6,2,4,5,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,8,4,1,7,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,4,2,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,7,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,7,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,3,5,6,8,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>12 [2,4,8,6,7,1,3,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,3,6,2,8,1,7,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,7,4,8,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,1,8,5,6,7,3,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,3,5,6,7,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,2,1,6,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,8,5,4,1,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [1,7,5,3,8,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,7,5,3,1,2,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [7,2,4,8,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,8,3,1,2,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,2,3,7,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,7,1,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,4,6,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,2,3,6,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,2,1,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,7,4,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,4,2,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [4,7,6,5,8,2,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,3,7,1,6,2,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,2,6,8,7,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,3,2,1,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,7,5,4,1,8,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [4,2,5,6,8,7,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [1,8,4,2,5,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,4,1,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,2,8,5,6,7,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,2,4,7,1,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,3,4,7,1,8,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [8,6,4,1,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,6,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,3,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,4,6,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,1,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,2,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,2,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,4,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,3,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,4,7,6,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,6,5,1,3,8,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [4,7,1,6,5,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [5,4,8,7,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,8,5,1,4,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,3,1,5,8,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [4,1,3,5,8,6,7,2]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [6,5,3,8,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,4,2,1,6,8,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [6,8,4,3,2,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,4,7,8,2,1,6,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [5,1,3,2,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,3,1,2,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,3,1,6,8,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [5,3,2,1,8,6,7,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,1,3,6,8,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [6,3,8,2,7,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,2,1,3,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,1,7,8,4,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [2,7,4,5,8,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [1,8,4,3,7,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,4,8,7,2,1,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,4,7,8,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [6,4,3,8,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,8,7,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,5,7,2,4,8,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [8,4,7,2,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,1,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,2,1,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,2,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,3,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,2,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,3,8,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,3,2,6,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,5,3,6,2,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,1,5,4,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,5,8,7,4,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [2,1,7,6,4,5,8,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [3,5,1,7,6,8,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [5,8,2,6,1,3,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,5,8,7,2,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,5,7,8,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [4,2,8,1,5,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,2,8,5,1,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,8,5,2,6,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,7,1,8,5,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [5,8,6,2,1,3,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,2,4,1,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,3,5,8,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [1,7,8,3,5,4,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [3,8,1,4,5,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,4,5,7,8,2,6,1]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>216 [3,4,6,2,8,5,1,7]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [3,4,6,8,1,5,2,7]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [3,4,7,2,1,8,6,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [3,4,7,8,1,5,6,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [3,4,8,2,1,5,6,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,5,2,7,8,4,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [3,5,6,2,8,4,1,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [3,5,6,8,4,1,2,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [3,5,7,2,4,8,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [3,5,7,2,8,4,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [3,5,7,8,4,1,6,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [3,6,2,1,7,8,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [3,6,2,1,8,5,4,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [3,6,7,2,8,5,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,6,8,2,4,5,1,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,7,2,1,4,8,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,2,8,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,8,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,8,2,1,4,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,1,5,6,7,8,3,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>81 [4,1,5,7,3,8,6,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [4,1,6,3,7,8,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [4,1,6,3,8,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,1,6,7,3,8,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [4,1,6,7,8,5,2,3]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [4,1,6,8,3,5,2,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,1,7,3,2,8,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,1,8,3,2,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,5,2,6,8,1,3,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [4,5,7,3,8,1,6,2]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [4,5,8,3,2,1,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,6,2,3,7,8,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [4,6,2,3,8,5,1,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,6,2,7,8,5,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [4,6,7,3,2,8,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [4,7,8,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,8,2,3,1,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,2,6,8,4,3,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,1,2,7,4,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,1,2,8,4,3,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,6,3,8,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,1,6,7,4,8,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [5,6,2,3,8,4,1,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,6,2,7,8,4,1,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [5,6,8,3,4,2,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,7,2,3,4,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,8,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,8,2,3,4,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,2,3,7,8,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,1,2,3,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,1,2,7,8,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,1,7,3,8,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,1,7,8,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,1,8,3,4,5,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,7,2,3,8,5,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,2,8,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,1,2,3,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,2,8,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,8,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,1,8,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,1,2,4,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,5,8,6,1,2,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,6,2,8,1,5,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [1,7,5,2,3,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [2,7,5,1,3,8,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [8,2,5,7,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,3,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,1,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,5,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,5,4,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,2,4,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,2,5,3,1,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,8,6,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,1,5,3,2,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,6,7,5,3,2,4,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [6,5,1,2,4,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,8,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,4,1,2,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,3,6,5,2,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [8,1,3,7,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,6,5,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,8,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,2,7,4,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,6,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,9,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [6,9,8,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [5,9,8,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [4,9,8,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>56 [3,9,8,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [2,9,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [8,10,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [6,9,7,8,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [7,10,9,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [4,8,6,5,7,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,9,8,6,7,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [6,10,9,8,7,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [3,8,7,5,4,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,6,7,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,9,8,7,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>56 [5,10,9,8,7,6,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [2,8,7,6,4,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,7,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,9,8,7,6,4,5,2,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [4,10,9,8,7,6,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [1,8,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,7,6,3,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,9,8,7,6,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [3,10,9,8,7,6,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>36 [1,8,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,9,8,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,10,9,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [7,2,8,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,5,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,3,2,8,5,1,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,4,7,2,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,4,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,6,4,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,1,5,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,6,1,8,5,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,4,1,2,8,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [6,8,3,5,4,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,2,5,8,3,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,7,5,6,3,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [7,2,6,8,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,3,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,6,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,2,3,1,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>3 [5,2,8,4,1,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,6,3,4,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,3,4,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,3,2,1,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,7,1,5,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,2,5,4,8,1,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,3,1,6,5,8,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [6,1,3,4,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,3,4,1,5,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,2,6,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,2,6,4,1,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,5,1,8,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,7,2,1,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,1,5,8,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [8,3,6,4,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,6,8,1,2,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,4,7,2,3,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,8,4,1,3,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,4,7,8,6,2,5,1]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [6,5,1,8,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,3,1,8,4,7,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,2,7,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,3,2,8,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,3,1,4,7,2,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [8,7,3,6,1,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,3,6,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,8,6,1,5,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,8,2,5,4,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,3,4,2,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,5,3,7,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,3,2,4,1,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [2,8,3,4,7,1,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,1,5,6,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,5,6,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,2,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,4,8,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [1,8,6,4,5,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,3,6,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,5,4,1,8,7,6,3]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [4,7,2,6,5,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [6,8,1,4,2,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,3,4,7,1,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [3,4,7,8,2,5,6,1]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [1,8,2,4,5,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,2,4,1,6,8,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [5,3,4,1,7,6,8,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [3,1,4,6,5,7,8,2]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>24 [1,4,7,3,5,6,8,2]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [5,1,2,6,8,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [1,2,7,4,8,6,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,3,2,8,5,7,4,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,7,8,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,4,7,2,8,6,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [1,6,7,8,2,5,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [1,4,7,2,8,3,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [2,8,4,1,5,3,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,4,1,5,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,2,8,4,7,3,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,4,8,3,6,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,8,4,5,7,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,5,2,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,3,5,1,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,3,8,6,1,4,7,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [1,2,7,8,5,3,6,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,2,7,8,6,3,5,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,6,7,8,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [1,4,7,6,8,2,3,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [2,3,8,7,4,1,6,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [1,2,8,4,7,6,3,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,8,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,6,2,1,7,8,3,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [2,6,1,4,5,8,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,3,7,6,4,5,8,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [5,1,2,7,8,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [3,6,4,1,7,8,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [2,6,1,5,4,8,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,6,1,4,7,8,5,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [5,1,2,4,8,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,1,2,4,8,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,1,2,4,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [1,2,3,8,5,4,7,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [4,3,1,2,8,5,7,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,2,3,8,5,6,4,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,6,4,5,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,6,5,4,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,5,4,6,7]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,6,1,5,4,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [5,1,2,4,8,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,1,2,4,8,3,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,6,1,7,8,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [5,1,6,2,8,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [2,1,3,7,8,6,4,5]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [2,1,3,7,8,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [5,2,4,1,7,8,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [4,3,1,2,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [5,1,4,2,8,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [1,2,3,8,6,7,4,5]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,7,5,4,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,7,4,5,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,8,5,7,4,6]=>[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,4,1,2,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [1,2,9,3,4,5,6,7,8]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,4,5,3,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,8,3,4,2,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,9,4,3,5,6,7,8]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,3,2,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,9,3,2,4,5,6,7,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,10,3,4,5,6,7,8,9]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,3,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,4,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,3,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,2,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,6,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,2,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,1,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,1,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,6,5,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,6,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,6,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,6,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,6,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,3,2,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,1,4,2,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,3,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,8,1,4,3,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,5,1,4,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,5,3,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,5,4,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,5,4,7,6,8,1,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [2,5,3,7,6,8,1,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [2,6,5,8,1,4,3,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [5,8,3,6,4,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,6,4,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,6,3,7,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,5,3,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,5,2,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,7,1,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,3,7,1,4,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,1,3,2,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,7,1,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,4,7,1,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,7,1,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,7,6,8,2,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,7,6,8,1,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,5,8,1,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,1,3,2,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [3,7,1,4,2,6,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,5,8,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,6,8,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,6,8,2,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [4,7,6,8,2,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,5,8,3,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,5,8,2,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [3,7,5,8,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,4,8,2,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,4,8,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,1,5,2,6,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,2,6,1,5,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,2,6,5,8,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [4,7,3,6,5,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,6,5,8,4,7,1,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,6,5,8,4,7,1,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,6,5,8,3,7,1,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [7,6,4,2,8,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,4,3,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,4,8,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,8,4,3,7,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,4,3,5,1,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,7,3,5,4,8,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,8,3,7,5,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,8,3,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,3,5,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,3,5,2,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,4,2,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,2,8,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,3,8,2,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,3,4,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,8,3,7,4,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,3,5,8,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [5,7,8,3,6,2,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,8,3,6,7,2,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,4,8,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,8,4,7,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,8,4,1,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,7,4,1,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,3,4,7,5,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,3,5,7,8,4,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,7,3,6,8,2,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,6,8,3,7,2,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,7,3,4,1,8,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [4,6,7,8,3,5,2,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,6,8,3,5,7,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,3,5,6,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,3,5,8,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,3,4,7,8,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,3,8,2,4,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,4,8,2,6,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,8,3,6,2,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,5,7,2,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,5,6,7,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,8,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,7,8,3,6,2,5,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,8,3,6,7,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,7,2,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,4,8,2,7,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,3,8,2,4,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,8,4,1,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,2,5,1,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,4,3,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,3,5,8,7,2,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,3,7,2,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,3,4,8,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,8,4,2,3,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,2,3,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,5,3,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,8,5,3,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,3,8,5,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,2,8,5,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,2,7,3,1,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,4,3,7,8,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,4,5,3,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [5,7,4,2,3,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,6,3,7,1,8,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,6,3,4,7,1,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [5,6,3,4,8,2,1,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [6,3,5,7,4,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,3,5,4,7,8,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,4,3,5,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,4,2,5,1,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [5,3,7,2,4,1,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,3,4,7,2,6,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [4,7,3,6,2,5,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,7,3,6,8,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,6,7,3,5,8,2,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [4,5,7,8,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [4,5,8,3,6,7,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,8,3,7,2,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,3,4,6,8,2,1,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,3,6,8,2,1,4,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [5,3,6,7,1,8,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [4,6,3,5,7,8,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [4,5,7,3,6,8,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,5,6,8,3,7,2,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [5,7,4,8,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,2,6,5,1,8,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [3,5,6,7,2,8,4,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>288 [6,8,5,9,7,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>126 [5,8,4,3,9,7,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>175 [4,8,3,2,1,9,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>140 [4,5,6,7,8,9,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1024 [3,4,5,6,7,8,9,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>729 [2,4,5,6,7,8,1,9,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>486 [5,4,3,2,1,10,9,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [4,5,6,7,8,9,10,3,2,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4096 [3,4,5,6,7,8,9,10,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>2187 [1,6,2,5,3,4,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,6,8,2,5,3,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,8,2,5,3,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,3,6,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,7,3,5,4,6,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,8,2,7,3,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,5,8,2,3,7,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,6,8,2,3,5,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,3,6,1,2,4,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [7,1,5,8,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,1,5,7,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,5,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,1,6,2,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,1,7,2,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,7,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,4,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,7,5,8,3,4,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [7,1,5,4,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,4,8,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,4,1,7,2,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,8,3,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,1,6,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,7,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,1,8,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,8,1,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,3,7,1,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,1,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,5,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,6,1,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,1,8,4,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,8,1,7,4,2,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,1,8,5,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,8,4,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,1,7,8,5,3,4,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [7,6,3,1,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,2,3,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,8,1,4,2,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,1,2,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,3,1,2,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,1,4,2,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [4,3,6,8,5,7,1,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [6,1,2,5,4,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,2,8,5,4,1,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,8,2,1,4,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,2,1,5,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,4,8,5,1,3,6,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,5,6,1,8,4,2,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [1,2,8,5,7,3,4,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,7,1,6,8,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [4,8,1,2,5,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,6,2,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,4,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,1,4,7,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,7,8,4,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [3,7,4,8,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,1,6,5,4,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [2,7,3,1,5,8,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,4,6,8,1,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,5,8,6,4,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [8,2,6,7,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,7,1,6,4,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,6,8,2,7,4,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,1,3,7,5,6,8,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,3,8,1,7,4,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,7,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,1,7,3,8,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [6,1,7,3,5,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,3,1,2,5,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [1,4,7,2,8,5,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,6,8,7,2,4,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,8,5,7,1,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,4,1,7,5,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,4,3,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,2,1,5,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,2,8,4,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,5,6,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,7,8,1,4,6,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [4,8,2,5,7,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,6,8,5,3,7,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [5,2,6,4,8,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [6,7,1,3,4,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,1,6,5,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,3,4,2,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,3,8,7,5,2,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,8,7,4,2,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,6,1,3,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,8,6,1,2,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,8,7,3,5,2,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,2,6,4,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,3,5,4,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,3,8,6,1,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,7,6,2,5,3,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [7,5,2,6,8,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,2,7,1,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,5,3,6,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,1,7,2,4,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,4,1,3,8,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,1,8,6,3,4,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,2,8,3,7,6,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [8,2,3,7,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,2,4,7,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,5,3,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,2,5,6,4,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,6,7,4,8,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [7,1,3,5,8,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,1,3,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,1,4,7,5,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [4,1,3,8,2,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [2,8,3,6,7,5,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,5,8,4,7,2,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [7,1,3,6,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,7,4,5,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [2,1,8,4,5,7,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,8,5,7,3,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,8,5,4,3,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,7,4,1,5,3,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [7,4,8,6,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,1,4,6,3,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [4,7,5,6,8,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [7,1,3,2,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,8,5,4,1,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,1,7,4,2,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [3,8,6,5,1,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,1,8,6,5,3,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,5,2,7,3,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,2,8,5,3,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,2,8,4,3,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,4,7,5,2,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,8,4,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,7,4,3,6,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,7,5,1,2,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,2,6,8,3,4,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [7,6,2,4,5,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,6,8,4,7,2,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,6,3,8,4,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,6,3,8,4,7,5,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [7,2,3,6,5,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,7,5,8,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [2,8,3,6,4,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,8,1,2,6,4,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,6,8,3,2,7,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,5,7,2,8,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,5,1,2,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,4,8,3,6,2,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,2,7,4,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,5,8,2,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,7,3,6,4,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [1,4,6,3,5,7,8,2]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>24 [3,6,1,4,2,7,8,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [2,3,5,1,8,4,7,6]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>24 [2,3,7,5,1,8,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [4,7,2,5,3,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,1,5,4,8,7,6,2]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [3,5,7,4,8,2,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [3,5,7,4,8,1,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [4,6,1,7,5,8,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [2,3,6,7,5,8,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>96 [3,4,6,2,8,1,7,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [3,5,4,6,8,2,1,7]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [3,5,4,6,8,1,2,7]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [3,6,4,7,1,8,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [3,5,4,6,8,2,7,1]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [4,2,6,1,8,7,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,6,2,7,5,8,3,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [3,5,7,4,8,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [5,7,1,2,8,6,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,4,5,7,2,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,3,4,7,2,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [2,7,3,4,5,8,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [3,7,4,5,6,8,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [2,5,7,3,6,8,1,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,7,6,2,3,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [7,3,5,2,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,2,4,5,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,5,2,3,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,3,1,2,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,5,2,3,7,1,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [5,2,1,7,3,4,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,2,1,8,3,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,3,2,8,4,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,3,1,2,8,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,1,3,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,3,1,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,3,5,2,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,4,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,3,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,7,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,7,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,7,3,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,3,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,7,2,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,7,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,5,8,2,3,6,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,2,1,8,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,8,2,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,3,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,8,3,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,2,7,1,8,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [4,7,1,3,8,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,3,4,6,8,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [4,6,3,8,7,1,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,4,5,8,7,1,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,3,4,8,7,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [3,2,8,7,1,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,8,7,2,4,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,3,7,6,1,2,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [1,8,3,7,2,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,1,7,2,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,3,5,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,7,8,2,6,1,3,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [6,2,8,7,1,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,8,7,1,4,5,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,6,1,3,4,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,7,6,2,3,4,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,6,2,3,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,7,3,4,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,7,2,4,5,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,3,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,5,8,7,2,3,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [8,7,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,8,5,3,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,2,8,3,7,5,4,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,3,2,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,6,1,2,8,4,3,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [4,3,8,1,2,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,8,10,9,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>196 [9,10,5,6,8,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [7,8,10,9,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>196 [9,10,3,6,8,4,7,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,3,4,5,8,7,6,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [7,8,10,9,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>196 [9,10,5,6,8,7,1,2,4,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [7,8,10,9,1,4,6,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>196 [9,10,1,6,8,4,7,2,5,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,4,5,8,7,2,6,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [7,8,10,9,1,2,3,6,5,4]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>196 [9,10,1,6,8,2,3,7,5,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,2,5,8,3,7,6,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,2,3,4,8,7,6,5]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [3,1,2,4,5,6,7,8,9]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [2,4,1,3,5,6,7,8,9]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>3 [2,3,5,1,4,6,7,8,9]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>6 [2,3,4,6,1,5,7,8,9]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>12 [2,3,4,5,7,1,6,8,9]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>24 [2,3,4,5,6,8,1,7,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>48 [3,6,8,7,1,2,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,2,8,5,4,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,7,2,4,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [3,7,5,2,1,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,8,5,2,7,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,2,8,4,7,3,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,7,4,1,3,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [4,3,5,1,2,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>3 [3,1,4,6,2,8,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>18 [3,4,5,6,1,8,7,2]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>81 [3,4,5,8,7,2,1,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [8,4,7,5,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,7,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,5,7,3,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,3,5,1,7,4,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,1,4,8,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,8,5,7,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,4,8,1,6,3,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,7,6,3,8,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,6,3,7,5,8,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [4,1,3,5,8,6,2,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [5,7,4,3,8,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [4,3,8,2,1,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,4,2,7,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,1,6,7,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,2,6,8,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,2,1,7,5,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,6,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,3,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,5,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,8,4,5,3,2,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,8,5,4,3,1,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,6,3,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,8,7,1,4,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,5,6,7,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,1,7,6,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,1,4,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,7,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,1,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,5,7,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,6,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,1,5,8,7,6,3,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,2,1,5,8,7,3,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [8,6,2,5,4,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,2,6,5,4,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [7,6,2,5,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,7,5,2,6,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [6,2,3,7,5,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [2,8,3,6,1,7,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,2,5,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,2,6,5,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,2,5,4,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,8,5,2,6,1,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,3,7,5,2,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,1,3,6,2,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,3,6,2,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,1,8,6,2,7,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,7,8,2,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [5,6,1,8,2,7,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [4,2,7,8,1,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,2,8,6,1,7,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,2,8,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,7,2,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,7,1,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,7,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,7,8,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [5,6,3,8,4,1,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [7,3,8,5,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,4,8,6,5,1,7,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [8,3,7,5,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,7,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,4,7,8,1,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [3,4,6,5,1,2,8,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>18 [7,3,5,1,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,1,6,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,6,7,1,2,8,4,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [4,7,5,1,2,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,7,1,6,2,8,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [7,6,1,2,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,7,1,3,8,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [8,6,1,2,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,2,3,8,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [8,7,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,2,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,8,1,6,2,7,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,1,2,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,8,1,2,7,4,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [4,2,7,3,6,8,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [2,6,3,5,4,8,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,7,4,3,5,8,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,3,6,4,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,4,5,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,4,3,1,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,5,4,2,7,3,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [5,4,1,7,2,6,3,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,4,1,8,3,2,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,5,2,8,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,2,1,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,3,4,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,1,5,3,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,6,3,1,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [5,8,4,2,7,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,2,6,4,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,5,7,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,6,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,2,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,6,4,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,6,2,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,7,3,5,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,7,2,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,6,8,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,1,5,8,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,8,4,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,5,3,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,8,4,3,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,7,4,2,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [1,2,7,3,4,6,5,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,7,8,4,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [5,7,4,8,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,4,8,2,7,3,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,8,7,3,4,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,7,5,3,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [1,8,3,7,6,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,8,3,2,6,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,4,7,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,3,8,2,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,6,8,2,7,3,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,6,8,7,3,4,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [7,2,8,6,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,1,7,2,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,6,4,3,5,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,6,3,5,4,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,7,6,5,2,4,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,6,5,3,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,7,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,7,6,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,8,6,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,4,7,5,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,5,4,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,3,2,5,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,5,2,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,3,8,1,5,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,1,8,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,5,4,7,1,8,6,3]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [5,2,1,8,7,6,4,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,8,5,7,6,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,7,5,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,5,6,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,5,4,8,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,4,7,2,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,3,2,7,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,1,4,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [3,4,5,8,6,7,1,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [4,2,1,5,6,8,7,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>12 [9,3,2,1,8,5,4,7,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [9,5,2,1,8,4,3,7,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [7,3,2,1,6,5,4,10,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>1 [4,3,2,1,10,6,5,9,7,8]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [10,3,2,1,9,5,4,8,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,5,2,1,9,4,3,8,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [4,3,2,1,10,7,5,9,6,8]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [10,3,2,1,9,6,4,8,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,4,2,1,9,6,3,8,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,2,1,9,5,3,8,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,4,3,1,9,6,2,8,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,3,1,9,5,2,8,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,3,1,5,2,7,4,9,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,4,1,6,2,8,3,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,5,1,7,2,3,4,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,10,4,9,3,8,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [2,1,7,3,8,4,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [4,1,8,2,7,3,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,7,2,8,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [7,1,3,2,8,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,8,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,7,2,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,2,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,1,7,2,8,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,1,8,2,7,3,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,2,4,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,1,6,2,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,8,2,4,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,8,2,5,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,1,6,2,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,2,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,8,2,7,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,7,2,8,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,1,7,2,5,3,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,1,7,2,4,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,1,6,2,4,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [7,1,5,2,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,6,2,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,6,2,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,6,2,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,8,2,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,2,7,5,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,7,4,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,4,7,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,2,6,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,8,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,1,7,4,3,6,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [7,5,8,3,2,4,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,5,4,3,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,4,3,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,4,7,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,2,5,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,4,2,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,8,2,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,4,8,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,7,4,2,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,5,4,3,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,5,1,7,3,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,3,2,8,5,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,4,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,4,3,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,5,4,8,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,3,8,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,3,8,1,7,5,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,3,1,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,4,8,2,1,7,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,2,8,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,6,4,8,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,8,6,3,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,6,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,1,7,8,3,6,4,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [6,4,1,7,8,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,4,2,7,3,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [4,1,5,3,2,8,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>3 [6,3,1,7,8,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,5,4,1,7,8,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,4,3,1,6,7,2,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>4 [6,5,4,2,7,8,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,4,2,1,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [5,4,3,1,6,7,8,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [6,3,8,1,2,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,6,7,1,2,5,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [7,8,3,1,2,5,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,3,2,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,1,3,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,2,3,7,1,8,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [2,6,7,3,1,8,4,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [6,2,8,3,1,7,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,3,1,2,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>3 [5,1,2,7,3,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,1,4,7,8,2,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,3,4,7,8,6,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [3,5,4,6,8,7,1,2]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [5,2,4,7,8,1,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [4,5,2,8,6,1,7,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [5,3,1,8,2,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,1,8,3,2,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,3,5,7,6,8,1,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [4,5,1,8,6,2,3,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [5,2,1,8,3,6,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [3,4,2,1,8,7,5,6]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [7,6,5,4,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,5,4,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,7,6,5,4,2,1,9,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [7,6,5,8,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,7,6,5,3,2,1,9,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,7,6,4,3,2,1,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,7,5,4,3,2,1,9,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,5,4,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,3,2,1,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [7,6,5,4,1,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,7,6,5,4,9,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [9,8,7,6,5,4,2,1,10,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [7,6,5,2,8,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,7,6,5,9,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [9,8,7,6,5,3,2,1,10,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [7,6,5,8,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,7,6,9,3,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [9,8,7,6,4,3,2,1,10,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [7,6,8,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,9,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,8,7,5,4,3,2,1,10,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [7,8,6,3,2,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,9,5,4,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,8,6,5,4,3,2,1,10,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [8,7,4,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,6,5,4,3,2,1,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,6,5,4,3,2,1,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [7,8,9,4,5,2,3,6,10,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>98 [7,8,2,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,1,5,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,2,3,6,1,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [4,6,7,3,5,8,1,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [6,4,7,1,5,2,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,2,7,3,1,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [3,5,4,6,7,8,1,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>162 [1,6,7,3,2,4,5,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,5,3,6,2,4,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [5,1,3,6,2,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [6,2,7,4,5,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,3,1,6,2,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [6,1,7,3,2,4,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,1,7,4,5,2,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,3,7,4,5,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,2,1,6,3,4,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [7,3,2,5,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,5,4,2,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,5,2,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,5,2,1,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,4,1,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,4,1,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,4,1,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,2,5,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,5,4,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,4,1,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,3,1,7,2,6,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,6,1,4,7,3,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [5,3,2,1,7,4,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [6,3,4,5,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,3,2,5,6,8,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>12 [3,7,5,4,6,8,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,1,4,6,5,8,2,7]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>18 [2,3,4,5,8,6,1,7]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>32 [2,3,4,5,8,1,7,6]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>32 [3,1,4,6,5,8,7,2]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>18 [3,7,5,4,6,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [5,6,1,4,7,2,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [4,3,1,7,5,6,8,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [4,3,1,7,6,5,8,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,7,5,2,6,8,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,5,2,6,8,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [5,6,1,2,7,4,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [6,3,5,2,4,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,3,2,1,4,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [5,3,1,4,2,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [5,3,1,2,4,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [7,1,5,2,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,5,2,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,4,6,1,8,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,4,6,1,8,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,3,2,5,6,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,5,4,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,4,6,5,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,3,4,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,4,5,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,4,5,8,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,4,5,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,3,4,5,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,3,4,5,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,7,4,6,5,8,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,1,5,4,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,2,5,6,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,7,4,6,1,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,3,4,5,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,3,4,5,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,4,5,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,7,6,1,8,2,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,8,6,1,7,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,8,2,6,1,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [7,6,4,2,8,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,6,4,2,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,1,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,7,1,8,3,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,4,8,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,8,4,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,10,7,9,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [9,10,6,8,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,6,9,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,10,6,9,5,8,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [9,10,7,8,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,7,9,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [9,10,6,8,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,6,9,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,10,6,9,4,8,3,5,1,2]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [9,10,5,8,4,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,5,9,4,7,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,10,5,9,4,8,3,6,1,2]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [6,10,5,9,4,8,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [9,10,7,8,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,7,9,5,6,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [9,10,6,8,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,6,9,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,10,6,9,5,8,2,4,1,3]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [9,10,7,8,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,7,9,4,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [9,10,6,8,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,6,9,4,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,10,6,9,4,8,2,5,1,3]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [9,10,5,8,4,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,5,9,4,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,10,5,9,4,8,2,6,1,3]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [6,10,5,9,4,8,2,7,1,3]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [9,10,7,8,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,7,9,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [9,10,6,8,3,7,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,6,9,3,7,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,10,6,9,3,8,2,5,1,4]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [9,10,5,8,3,7,2,6,1,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,5,9,3,7,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,10,5,9,3,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [6,10,5,9,3,8,2,7,1,4]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [9,10,4,8,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,10,4,9,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,10,4,9,3,8,2,6,1,5]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [6,10,4,9,3,8,2,7,1,5]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [6,2,1,7,3,5,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [2,1,8,6,3,5,4,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,3,5,8,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [2,7,3,1,5,4,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,6,3,1,4,8,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [4,2,1,8,3,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [2,1,8,6,3,5,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,1,7,3,5,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [2,7,3,1,4,8,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,1,7,3,6,8,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [2,7,3,1,5,6,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [4,3,6,8,5,1,7,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [2,6,1,8,3,5,7,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,1,6,8,3,7,4,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [2,1,8,3,5,7,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,3,6,4,5,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [8,2,4,1,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,4,7,5,1,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,4,3,6,1,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,7,3,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,1,8,3,5,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,7,3,1,5,6,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [8,2,4,1,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,6,3,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,4,8,5,1,6,3,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,2,1,7,3,4,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,2,1,7,8,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [2,7,1,8,3,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,1,8,3,6,4,5,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,2,1,7,4,5,6,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [3,2,1,6,8,4,5,7]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [2,1,8,3,7,4,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,8,3,6,7,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,4,8,5,1,6,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,3,8,5,6,1,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,2,1,8,4,5,6,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,8,3,7,2,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [3,8,1,5,7,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,1,5,8,2,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,1,2,7,8,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,5,7,4,8,6,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [5,3,8,4,7,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,7,1,2,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,1,2,3,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,2,8,4,3,5,7,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,2,8,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,1,6,2,8,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,2,8,5,3,6,4,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,3,8,5,4,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [4,1,2,7,8,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [1,8,6,3,2,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,3,2,8,4,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,1,7,8,6,2,4,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [1,8,7,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,3,5,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,3,2,8,7,4,5,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,8,3,2,6,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,6,3,2,4,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,2,8,4,3,7,5,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,5,1,7,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,8,7,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,8,6,4,7,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,1,8,2,7,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,2,7,5,3,6,4,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,2,6,3,7,5,4,8]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,2,3,7,5,4,8,6]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [3,7,4,8,6,5,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [1,8,2,7,6,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,9,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,8,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,1,6,3,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,7,6,3,1,5,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [1,8,4,3,6,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,6,5,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,2,1,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,1,4,3,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,1,3,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,1,2,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,8,6,3,4,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,7,4,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,1,7,2,4,6,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [3,6,7,4,1,5,8,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [4,3,2,7,1,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,1,2,8,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,4,8,6,1,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,6,8,7,4,3,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [1,8,2,7,4,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,5,8,2,3,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,5,3,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,7,8,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,4,8,1,6,3,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,1,2,8,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,8,5,3,2,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,5,2,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,1,2,7,6,5,8,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [1,8,4,3,6,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,6,7,3,2,8,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [2,5,7,3,6,8,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [5,3,2,1,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,3,1,4,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [7,6,1,3,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,4,7,8,1,2,6,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [3,6,7,8,1,4,5,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [3,6,2,8,1,5,4,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,3,6,8,5,1,4,7]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [7,3,2,6,8,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,5,8,4,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,2,8,4,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,5,8,2,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,8,5,2,4,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,2,3,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,4,2,8,3,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,4,8,2,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,5,4,8,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,7,4,8,5,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,1,5,4,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,2,5,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,6,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,3,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,6,2,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,5,7,8,4,1,3,6]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [6,5,7,8,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,5,6,8,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,6,2,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,5,6,8,2,4,1,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [3,5,6,8,4,2,1,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [2,6,7,8,1,4,5,3]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [3,6,7,8,1,4,2,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [3,5,7,8,2,1,4,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [2,6,7,8,1,4,3,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [6,5,7,8,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [2,5,7,8,3,1,4,6]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [6,4,7,3,8,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,4,7,3,8,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,4,6,3,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,2,5,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,4,5,2,3,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,4,5,3,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,4,6,3,8,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,4,7,3,8,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [2,5,7,8,3,1,6,4]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [4,5,7,8,3,1,2,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [4,5,6,8,2,3,1,7]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [5,4,6,2,8,3,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,3,2,6,8,4,1,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,4,7,2,8,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [4,5,7,8,2,1,3,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [4,6,7,8,1,3,2,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,6,7,8,1,3,5,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [2,6,7,8,1,3,5,4]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [2,6,7,8,1,5,3,4]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [4,6,7,8,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,6,7,8,1,2,5,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,5,7,8,2,1,6,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [5,4,7,2,8,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,3,2,7,8,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [4,3,2,7,8,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,5,7,8,2,1,6,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [3,6,7,8,1,2,5,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [3,6,7,8,1,5,2,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [3,6,7,8,1,5,4,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [2,6,7,8,1,5,4,3]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [3,4,5,6,7,8,9,1,2,10]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>729 [2,4,5,6,7,8,1,3,9]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>243 [1,4,5,6,7,8,2,9,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>162 [1,4,5,6,7,8,9,10,2,3]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>729 [4,2,8,6,1,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,7,1,3,5,4,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [4,7,2,1,5,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [7,2,1,3,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,1,4,8,2,6,7,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [8,3,1,6,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,6,2,1,5,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,6,5,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,7,3,5,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,4,7,5,1,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [3,6,1,7,5,8,2,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [7,3,5,1,6,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,7,3,5,6,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [3,4,6,8,5,1,7,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [4,6,8,2,1,5,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,8,2,1,3,5,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,2,3,5,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,3,6,1,4,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,6,1,3,5,8,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [7,3,2,5,6,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,7,5,2,6,1,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,6,2,8,1,5,3,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [8,4,1,2,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,2,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,1,7,8,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,7,3,8,4,1,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [2,7,8,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,1,8,5,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [8,2,5,1,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,5,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,4,5,6,1,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,5,8,3,6,7,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,8,3,7,6,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,2,8,3,7,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,2,3,4,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,3,4,8,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,3,4,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,3,5,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,3,8,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,3,8,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,3,8,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,6,4,8,1,5,7,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [7,2,3,8,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,3,5,8,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,8,2,3,6,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,2,3,5,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,3,8,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,6,4,8,1,3,7,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [3,6,4,8,1,7,5,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [7,6,5,1,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,5,1,4,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,6,4,5,1,8,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [7,8,5,4,1,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,5,1,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,5,1,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,5,1,2,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,5,1,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,5,1,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,5,1,3,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,3,4,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,6,4,3,1,5,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [2,6,4,3,1,8,5,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,6,4,3,1,8,7,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [3,5,8,4,1,2,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,5,8,4,1,2,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,5,8,4,1,6,2,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,2,8,3,6,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,5,8,4,1,6,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,5,8,4,1,7,3,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,6,4,2,1,7,8,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [7,6,5,1,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,5,1,2,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,5,1,2,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,5,1,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,5,1,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,5,1,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,5,1,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,5,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,6,4,5,1,7,8,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [7,6,5,1,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,5,1,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,5,1,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,1,7,6,2,8,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [7,8,6,2,1,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,7,6,1,2,8,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [2,6,5,3,1,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [4,6,1,5,3,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [3,6,1,4,2,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [2,6,4,5,7,8,1,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [8,7,1,6,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,5,6,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,1,3,4,2,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,4,1,6,5,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,3,4,7,5,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,2,7,4,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,7,8,5,1,6,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [8,2,6,4,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,6,1,7,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,3,2,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,5,1,7,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,7,1,3,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,8,4,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [6,2,3,8,4,7,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,4,3,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,4,6,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,3,8,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,2,1,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,6,7,2,5,8,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [7,6,2,5,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,1,3,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,5,4,2,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,4,3,1,8,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,1,4,3,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,7,6,2,8,1,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,4,5,1,7,8,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [4,2,3,1,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>3 [3,4,2,1,8,6,7,5]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [2,7,6,8,1,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [6,4,5,8,3,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,1,3,2,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,1,5,2,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,2,8,7,4,5,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,3,8,5,7,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,6,8,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,1,4,8,7,5,3,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,1,6,8,3,7,5,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [3,6,8,2,4,1,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,2,8,1,7,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,3,4,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,4,3,2,5,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,1,5,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,1,8,2,6,4,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,4,8,6,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,6,2,8,3,7,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,1,5,8,3,6,4,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [2,8,5,3,6,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,8,5,6,4,1,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,8,4,1,6,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,3,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,1,4,5,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [9,7,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,9,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [7,6,8,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,9,5,7,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,6,7,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,6,7,4,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,10,7,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,7,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,10,7,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,7,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,10,7,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,7,10,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [7,8,6,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,3,8,7,6,1,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [9,8,5,7,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,7,9,5,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,9,6,8,3,5,1,4,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [10,8,9,5,7,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,5,8,4,7,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,9,5,7,4,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [10,8,9,6,7,3,5,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,9,6,7,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [10,8,9,6,7,4,5,1,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,7,4,2,5,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,6,4,8,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,8,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,2,5,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,7,3,5,6,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [3,7,2,5,6,4,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [7,8,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,6,8,5,2,7,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,2,8,5,1,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,7,4,8,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [3,2,7,8,6,1,5,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [6,8,4,1,2,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,1,8,5,6,3,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,8,2,5,6,4,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,1,8,5,3,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,8,1,5,2,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,1,5,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,2,4,6,7,8,3]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>8 [8,1,6,5,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,6,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,2,6,4,1,7,8,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [7,6,4,3,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,6,3,5,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,3,1,6,7,8,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>32 [5,2,3,1,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [1,5,3,2,6,7,8,4]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>8 [8,4,6,5,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,6,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,2,8,7,6,1,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,8,4,7,2,1,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,7,5,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,6,5,1,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,6,4,2,1,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,7,4,6,1,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [8,6,4,7,3,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,4,3,7,1,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [8,6,4,1,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,4,1,5,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,5,4,1,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,8,2,5,3,7,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,8,1,5,4,7,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,2,1,5,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,1,5,6,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,1,2,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,2,8,1,6,5,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,6,1,5,7,8,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [7,6,4,1,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,6,1,5,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,1,4,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [5,4,1,3,6,7,8,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [8,4,1,5,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,1,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,4,3,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,3,5,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,3,4,6,7,8,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [3,1,8,2,5,7,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,3,2,6,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,1,6,4,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,5,7,1,3,8,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [2,6,8,1,5,7,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,7,1,5,8,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,1,6,4,8,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,1,6,5,3,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,1,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,2,7,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,8,7,3,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,7,2,8,6,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,7,1,8,6,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,6,1,4,2,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,5,1,4,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [3,6,8,5,1,4,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,3,5,8,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,6,2,1,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,6,2,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,2,8,1,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,7,5,3,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,6,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,6,2,1,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,8,4,5,2,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,6,8,5,1,7,3,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,5,1,3,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,6,1,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,1,7,6,3,8,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,1,7,6,4,2,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,1,8,7,6,4,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,5,2,1,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,1,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,8,6,3,2,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,6,1,7,4,8,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [4,1,8,6,3,7,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,4,2,5,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,6,8,5,7,1,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [5,4,8,2,7,3,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,7,3,6,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,5,4,7,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,3,8,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,7,2,4,8,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,6,8,4,2,7,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,7,4,2,8,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,5,2,7,1,3,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [8,6,5,4,2,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,7,3,1,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,7,4,3,8,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [7,5,8,4,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,4,8,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,5,3,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,4,3,2,1,9,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,4,3,2,1,9,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,2,1,5,4,7,6,9,8]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [2,1,4,3,5,6,7,8,9]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [7,6,5,4,3,2,1,10,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>1 [7,6,3,8,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,4,8,1,3,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,8,6,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,7,2,4,6,5,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [8,1,3,4,5,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,8,4,2,5,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,2,8,4,1,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,7,4,8,5,1,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [3,2,7,8,5,1,6,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [3,2,8,1,5,4,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,1,4,8,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,8,4,3,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,7,1,4,2,5,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [7,2,1,4,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,1,8,5,3,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,4,6,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,2,6,4,1,8,7,5]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [7,6,4,3,1,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,4,2,1,7,8,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [8,2,7,6,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,7,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,3,2,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,3,7,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,3,4,7,1,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [8,6,3,1,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,3,1,5,4,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [5,8,3,1,2,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,3,2,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,7,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,6,5,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,1,5,6,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,1,2,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,2,8,1,6,5,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,6,4,1,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,6,1,5,4,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,8,2,1,3,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,8,2,3,1,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,4,1,3,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,3,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,3,5,4,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,1,3,4,6,2,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [3,1,2,5,4,7,6,9,8]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [6,8,2,4,5,1,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,1,2,4,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,1,3,5,2,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,1,4,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,5,1,8,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,1,8,2,3,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,3,8,4,2,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,4,6,3,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,8,3,5,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,2,8,5,7,3,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,1,4,8,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [7,3,1,4,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,4,1,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,2,8,7,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,2,4,8,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,3,8,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,6,3,1,7,8,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [5,3,1,6,7,8,4,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [4,1,6,2,7,8,5,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [4,5,6,7,8,9,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1024 [4,5,6,7,8,9,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1024 [7,8,9,4,5,6,2,3,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,9,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,9,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,9,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,9,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,9,6,7,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [4,5,6,7,8,9,10,1,2,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4096 [4,5,6,7,8,9,10,2,3,1]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4096 [9,10,7,8,5,6,3,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [4,8,3,7,6,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,8,7,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,3,8,7,6,4,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,8,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,2,8,7,6,1,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,8,7,5,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,1,8,7,5,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,1,8,7,6,5,4,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,8,2,6,1,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,2,8,7,1,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,2,8,1,7,6,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,2,7,6,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,5,8,7,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,8,1,7,6,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,1,8,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,4,8,1,7,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,4,1,6,5,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,3,8,1,7,5,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,3,1,8,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [7,8,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,5,3,1,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,3,1,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,4,3,1,8,7,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [7,5,2,1,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,4,2,1,8,7,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [7,3,2,1,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,2,1,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [9,7,5,3,1,10,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,6,5,3,1,10,8,7,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,7,4,3,1,10,8,6,5,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,6,4,3,1,10,8,7,5,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,5,4,3,1,10,8,7,6,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,7,5,2,1,10,8,6,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,6,5,2,1,10,8,7,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,7,4,2,1,10,8,6,5,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,6,4,2,1,10,8,7,5,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,5,4,2,1,10,8,7,6,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,7,3,2,1,10,8,6,5,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,6,3,2,1,10,8,7,5,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,5,3,2,1,10,8,7,6,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,4,3,2,1,10,8,7,6,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [6,1,4,2,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,6,1,4,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,4,2,3,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,1,4,2,3,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,8,2,3,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,2,3,6,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,3,8,1,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,6,2,3,8,1,5,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,8,2,3,6,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,2,3,6,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,6,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,3,8,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,4,2,3,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,2,3,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,8,4,3,6,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,3,8,4,1,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,3,8,4,2,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,6,3,8,1,4,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,8,3,6,1,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,6,4,2,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,3,6,4,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,6,2,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,2,1,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,1,3,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,2,1,3,6,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,8,2,4,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,4,3,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,6,4,7,8,5,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [1,4,7,2,5,6,8,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [6,4,8,5,3,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,6,5,4,2,7,8,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [7,1,5,3,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,8,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,4,8,5,2,1,6,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,8,5,3,1,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,3,5,8,2,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,1,8,7,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,2,8,5,7,3,6,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,8,2,5,4,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,4,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,1,3,2,5,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [1,6,3,7,8,5,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [4,6,2,3,7,8,1,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [4,2,1,3,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>2 [7,3,2,4,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,8,2,5,4,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,4,2,6,3,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,2,6,3,8,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [5,8,2,7,4,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,8,5,1,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,6,8,1,2,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [6,4,3,5,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,5,3,8,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,7,8,9,10,2,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>625 [3,8,1,7,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,5,7,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,7,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,6,7,5,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,7,2,6,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,1,8,2,5,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,1,3,6,5,8,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [2,6,1,3,5,8,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [6,1,4,3,5,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,4,1,3,5,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,2,1,3,5,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,2,1,8,3,5,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,1,3,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,1,4,3,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,1,4,3,6,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,3,6,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,3,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,6,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,4,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,1,4,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [8,2,4,1,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,1,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,1,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,6,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,6,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,4,6,3,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,4,1,8,3,5,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,8,1,3,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,8,1,3,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,2,8,1,3,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,6,8,1,3,5,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [4,6,8,1,3,5,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,1,8,3,5,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,1,6,8,3,5,7,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,6,1,3,8,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,4,1,8,3,5,7,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,1,6,8,3,5,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,1,3,8,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [2,1,8,3,6,5,7,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,8,1,4,3,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,1,6,3,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,1,3,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,8,6,3,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,1,6,3,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,1,3,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,6,1,3,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,1,3,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,1,4,3,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,1,8,4,3,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,4,3,5,7,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,8,6,4,3,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,6,4,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,4,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,3,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,1,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,1,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,7,4,1,8,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,6,4,2,8,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,7,1,4,6,3,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,8,1,4,6,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,6,7,4,5,8,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [3,5,7,4,6,8,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [6,8,4,1,7,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,4,6,1,7,8,3,2]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [5,6,4,1,8,7,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [3,5,8,4,6,7,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,6,8,4,5,7,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,7,8,4,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [6,8,1,4,5,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,1,4,5,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [3,7,1,5,4,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,8,1,5,4,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,5,4,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [6,7,1,4,5,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [5,7,1,4,6,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,6,4,2,7,3,8,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [5,4,7,2,8,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,4,7,2,8,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,6,4,2,8,3,1,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,8,1,4,6,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,1,5,4,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,1,4,2,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,3,8,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,3,1,4,2,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [3,6,1,5,4,7,8,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [6,8,3,1,4,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,4,7,2,8,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,8,1,4,7,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,1,4,5,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,8,1,5,4,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,7,3,1,4,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,8,3,1,4,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,3,1,4,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,2,6,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,5,8,7,3,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,7,3,1,4,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [3,7,1,5,4,2,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,8,1,5,4,2,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,1,4,7,3,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,4,2,7,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,4,7,2,8,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,3,7,1,4,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,8,3,1,4,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,5,4,8,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,4,1,2,8,5,7,6]=>[1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [3,7,1,5,4,2,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [6,7,3,1,4,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,3,8,1,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,1,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,3,1,4,5,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,1,5,4,2,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [9,8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,7,6,3,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,7,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,5,7,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,3,5,2,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,7,6,2,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,8,7,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,5,4,7,3,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,6,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,8,5,7,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,5,8,4,3,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,4,7,6,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,6,8,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,8,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [10,8,7,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [4,8,2,6,3,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,7,8,6,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [4,1,7,2,5,8,6,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [7,8,2,1,5,6,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,1,8,7,4,5,3,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [7,3,1,6,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,5,8,6,2,3,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [2,4,8,3,1,6,5,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,2,7,1,8,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [6,5,2,8,1,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,8,3,5,1,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,4,3,8,7,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,5,4,3,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,4,2,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,6,5,1,7,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,3,2,8,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,8,3,4,1,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,4,2,8,3,1,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [2,8,4,3,1,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,3,1,7,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,6,4,1,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,7,5,1,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,3,7,5,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,6,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,7,6,1,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,4,8,6,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,5,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,4,2,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,4,3,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,7,8,4,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,8,5,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,7,8,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [8,7,4,6,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,4,7,8,3,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,3,4,8,2,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,4,8,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,8,6,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,5,8,7,3,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,4,8,3,1,5,7,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,3,2,4,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,3,8,4,1,6,7,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,5,1,6,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [6,4,8,7,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,6,4,7,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,7,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,8,7,1,5,6,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,4,8,6,1,5,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,5,8,6,1,4,7,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,3,5,7,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,7,2,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,8,7,1,3,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,6,8,5,1,3,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,6,8,4,1,3,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,5,8,3,1,4,7,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,6,8,7,1,3,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [7,4,6,8,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,8,4,6,3,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,4,8,6,2,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,3,6,8,1,5,4,7]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [7,3,5,1,6,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,6,1,8,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,6,8,1,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [1,8,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,8,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,7,6,1,8,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [6,3,5,1,7,2,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [2,3,4,7,6,1,5,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>16 [7,3,5,8,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,8,4,5,2,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,5,2,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,8,4,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,7,6,4,8,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [7,3,5,4,6,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,5,4,7,1,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,3,5,4,7,1,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [3,7,1,6,8,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [2,3,1,8,6,4,7,5]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,8,4,3,6,2,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,3,1,8,6,4,5,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [3,7,1,6,8,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [6,3,5,4,7,2,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,3,5,4,6,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,6,4,8,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [1,8,4,5,2,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,4,8,5,3,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,3,5,8,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,3,4,6,5,8,1,7]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>36 [2,3,4,7,5,1,8,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>32 [2,3,4,7,5,1,6,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>16 [2,3,4,7,1,6,5,8]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>16 [2,3,4,7,1,6,8,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>32 [2,3,4,6,1,8,7,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>36 [6,3,5,8,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,8,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,4,5,2,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,8,5,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,3,5,8,4,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,2,4,6,8,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,2,8,4,6,3,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,8,5,4,6,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,4,5,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,4,1,7,8,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,4,2,7,8,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,1,4,6,8,3,2,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,1,8,4,6,3,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,1,6,4,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,5,4,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,2,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,2,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,6,2,4,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [8,7,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,3,4,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,6,3,4,5,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,2,5,4,3,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [8,7,2,4,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,2,4,7,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,3,2,4,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,1,3,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,3,4,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,5,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,8,7,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,2,8,6,1,5,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,6,1,2,4,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,6,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,7,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,7,2,4,5,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,2,8,6,1,4,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,7,2,5,1,4,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [5,1,8,6,2,3,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,5,4,1,8,6,3,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [3,7,6,1,8,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [7,6,3,1,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,3,6,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,6,3,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,3,6,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,3,6,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,2,1,3,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,3,1,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,1,3,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,5,8,3,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,3,8,5,4,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,3,6,1,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,8,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,2,3,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,3,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,1,4,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,3,8,1,4,7,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [7,5,4,8,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,5,4,7,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,1,8,5,4,6,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [8,6,5,1,3,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,7,6,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,7,6,1,8,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [3,2,8,4,7,5,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,4,7,5,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,1,6,5,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,1,2,8,3,4,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,8,3,1,7,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,2,5,6,1,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [6,8,4,2,5,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,7,5,3,8,4,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [8,3,1,4,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,1,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,3,6,4,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,3,6,4,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,3,6,4,7,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,8,3,5,7,4,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,8,3,2,5,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,5,1,7,4,2,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,3,6,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,1,7,3,4,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [7,3,8,1,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,3,7,1,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,7,4,2,8,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [2,8,1,7,6,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,2,8,6,5,1,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,4,2,8,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,4,7,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,8,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,6,4,2,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [4,2,3,8,7,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,8,7,1,6,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,4,3,8,1,6,7,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,4,3,7,1,6,8,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>24 [4,2,3,7,8,5,1,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [6,4,7,8,1,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [8,7,4,6,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,7,8,1,4,2,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [4,7,8,6,1,5,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [3,2,4,8,7,1,5,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [4,8,7,6,1,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,1,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,6,5,7,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,4,8,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [8,4,7,6,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,4,7,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,4,8,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,6,7,1,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,8,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,6,8,4,2,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [3,7,5,8,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [4,7,6,8,1,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [8,5,6,7,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,5,1,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,7,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,6,8,7,1,4,2,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [4,6,8,7,1,5,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,7,8,5,1,4,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [7,8,6,5,1,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,1,7,5,4,2,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,1,8,5,4,6,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,1,8,5,2,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,4,1,3,6,7,2,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>4 [8,4,1,2,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,7,1,5,4,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,3,8,1,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,5,3,8,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,6,8,1,5,4,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,8,3,1,5,4,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,3,1,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,6,2,1,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,2,1,7,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,3,8,1,5,7,4,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [7,1,3,2,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,6,2,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,7,1,2,6,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [2,7,8,1,5,3,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [6,7,2,1,5,3,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [4,7,2,1,8,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [8,7,2,1,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,6,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,6,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,7,4,1,6,5,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [3,7,1,4,5,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [7,1,6,4,5,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,6,8,7,1,4,3,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,8,5,7,1,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,6,5,7,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,6,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,7,8,1,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,2,3,1,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,2,8,1,6,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,2,4,1,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,3,1,4,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,1,4,8,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [7,5,1,6,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,5,8,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,8,1,6,4,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,1,8,4,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,3,1,5,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,1,4,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,8,1,4,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,6,1,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,8,6,1,5,3,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,1,2,5,8,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,4,5,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,5,6,7,1,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,7,5,1,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,1,5,6,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,6,5,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,6,1,4,5,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [5,7,6,8,1,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [7,8,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,3,1,6,5,8,7,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [5,3,1,2,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,3,7,2,1,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,3,7,2,8,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [7,2,4,5,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,4,5,1,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,2,4,5,1,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,7,4,5,1,2,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,4,5,8,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [1,7,4,2,6,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [8,7,4,5,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,7,1,8,4,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,7,4,1,6,3,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [1,7,4,8,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [5,7,4,8,6,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,8,3,5,6,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,3,5,6,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,8,1,5,6,7,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,3,5,6,7,2,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>8 [5,8,4,3,6,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,4,1,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,5,8,4,6,7,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,3,8,2,1,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,4,2,6,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,8,2,5,6,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,1,5,6,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,5,6,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,1,5,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,5,6,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,3,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,8,4,3,6,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,3,1,8,5,7,6,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [6,3,1,8,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,5,8,2,7,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,5,4,8,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,4,8,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,4,1,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,4,5,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,6,1,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,6,5,8,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,8,5,3,6,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,3,5,2,1,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,5,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,5,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,8,5,6,7,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,2,8,5,6,7,3,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,2,1,5,6,7,3,8]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>8 [4,3,5,8,1,7,2,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,5,4,8,6,1,2,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,4,8,5,6,7,1,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,7,1,5,6,3,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,7,1,4,3,6,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,6,3,1,4,5,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [3,7,1,4,2,6,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [3,7,1,5,6,2,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [4,7,1,5,6,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [8,5,2,6,7,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,6,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,3,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,3,2,5,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,3,7,4,2,8,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,4,7,2,3,8,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,5,7,2,8,3,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,3,7,2,4,8,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [8,7,6,1,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,5,1,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,4,1,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,3,1,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,2,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,4,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,3,4,2,1,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,7,4,2,3,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,7,5,3,1,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,7,5,4,1,8,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [10,3,1,2,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,4,1,2,3,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,10,1,2,3,4,6,7,8,9]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [10,6,1,2,3,4,5,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,1,2,3,4,5,6,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,10,1,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [2,11,1,3,4,5,6,7,8,9,10]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [11,3,1,2,4,5,6,7,8,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [11,4,1,2,3,5,6,7,8,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [11,6,1,2,3,4,5,7,8,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [11,7,1,2,3,4,5,6,8,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [8,9,1,2,3,4,5,6,10,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>16 [11,9,1,2,3,4,5,6,7,8,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [6,2,4,3,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,3,5,4,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,2,7,1,3,4,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,3,1,4,7,8,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,8,2,1,3,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,8,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [6,3,2,4,7,5,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,3,2,4,7,5,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [4,2,1,6,3,7,8,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>12 [7,4,3,5,8,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,7,6,8,3,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,4,3,5,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,2,1,3,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>3 [5,8,1,7,4,3,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,7,4,3,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,8,6,2,1,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,2,1,8,3,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [7,3,2,4,8,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,2,1,6,3,8,7,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [3,6,7,5,2,1,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [7,3,4,2,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,8,6,2,7,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,3,4,2,6,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,6,7,5,2,4,8,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [4,2,1,7,3,6,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,7,6,8,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [5,8,1,7,4,2,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,8,6,2,4,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,2,1,3,8,6,7,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,8,1,7,3,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,8,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,2,1,8,3,7,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,1,5,4,7,8,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [4,6,3,5,8,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,7,5,1,8,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [4,7,5,2,1,3,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [6,7,8,4,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [7,1,6,8,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,6,5,2,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,5,6,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,7,4,6,8,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,8,1,4,6,3,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [8,1,5,7,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,4,6,7,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,1,8,4,7,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,5,8,6,1,7,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,8,5,1,6,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,4,5,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,7,1,4,2,3,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [8,4,2,6,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,2,1,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,8,4,2,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,8,4,6,2,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,1,5,2,3,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [8,3,1,4,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,8,2,5,6,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,5,1,8,2,6,4,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [8,2,4,3,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,8,5,7,1,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,6,2,8,5,1,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,2,1,8,4,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,8,7,1,4,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,7,1,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,5,3,6,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,1,5,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,7,5,1,6,2,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [2,7,3,6,5,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [8,7,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,8,2,6,4,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,7,3,8,2,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,2,7,3,6,4,5,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [7,1,5,8,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,8,3,7,2,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,4,7,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,8,1,3,2,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [7,1,4,2,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,1,4,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,3,8,4,6,7,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,4,8,5,7,6]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [2,4,8,7,5,6,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,8,5,7,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,1,8,5,2,7,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,3,5,7,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,1,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,6,3,4,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,8,3,4,5,7,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,5,7,3,4,8,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [2,7,8,5,3,6,4,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,6,3,4,8,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [3,1,8,7,2,6,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,3,7,6,1,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,7,2,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,1,8,2,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,1,7,8,2,5,6,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [6,3,5,8,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,3,8,5,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,6,1,4,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,3,6,1,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,4,8,1,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,4,6,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,2,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,6,1,2,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,1,2,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,7,1,2,3,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [3,6,8,1,2,7,4,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,8,6,1,2,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,6,1,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,5,2,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,1,4,8,7,5,2,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [4,3,6,8,7,5,1,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [5,4,1,8,2,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,4,1,8,2,7,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,6,7,4,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,1,2,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,7,3,1,4,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,6,3,8,7,1,4,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,4,1,6,8,2,7,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,4,7,1,2,8,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,7,4,1,2,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,5,1,2,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,5,1,2,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,6,5,1,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,1,2,3,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,7,4,1,2,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,8,6,4,1,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,2,5,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,5,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,3,4,2,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,3,4,1,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,2,3,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,2,4,6,1,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,2,4,3,1,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,5,8,2,3,1,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,1,3,5,7,2,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,1,3,6,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,3,6,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,3,7,5,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [7,1,8,2,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,5,8,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,5,2,8,1,6,7,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [6,2,5,8,1,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,2,8,5,1,6,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,2,7,1,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,7,1,6,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,7,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,4,8,5,6,1,7,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [8,3,7,4,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,7,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,6,8,4,1,7,2]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [6,2,3,1,5,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [7,2,3,1,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,3,1,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,3,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,3,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,5,7,1,2,6,3,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>40 [3,7,4,1,2,6,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [6,7,1,4,2,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [2,7,1,3,5,6,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [8,6,1,2,4,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,1,3,4,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,8,1,2,5,3,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,8,4,1,2,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,2,6,7,5,3,8,4]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8 [1,6,5,7,2,3,8,4]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [1,2,5,7,6,3,4,8]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [6,5,7,3,8,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [4,2,6,7,5,8,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [6,7,5,2,1,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [3,4,8,7,5,2,1,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [1,7,5,2,8,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,6,8,3,1,7,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,1,4,8,3,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,4,7,1,8,6,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [3,4,6,8,2,1,5,7]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [3,8,2,5,6,1,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,5,2,8,6,4,1,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [4,2,5,7,3,8,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [7,4,2,5,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,1,2,8,5,6,4,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,2,1,6,8,3,4,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,2,6,8,4,1,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,8,1,6,3,2,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,1,6,8,3,2,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [4,5,7,3,8,2,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [6,4,3,7,8,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,4,3,1,7,8,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [7,1,3,5,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,2,8,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,7,3,8,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,6,3,7,8,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [5,3,6,7,8,4,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [1,5,3,6,7,8,4,2]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>27 [4,6,1,7,3,8,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [6,3,7,1,8,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,7,2,4,8,1,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [3,2,5,6,7,8,1,4]=>[1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>81 [5,2,3,6,7,8,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [6,7,1,3,2,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,2,7,1,3,4,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,2,1,7,3,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [6,4,2,7,1,8,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [4,2,6,3,7,8,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [4,2,6,3,7,8,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [6,7,3,8,2,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [3,6,2,7,4,1,8,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [6,7,3,2,1,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,1,8,3,4,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,4,1,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,4,8,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,4,8,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,5,7,2,1,8,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [6,7,8,3,2,5,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,3,7,8,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [2,6,7,4,8,5,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [6,2,4,7,1,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [4,6,2,7,1,8,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [1,7,4,8,5,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [2,5,7,8,1,6,3,4]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [6,3,7,1,8,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [1,6,4,7,8,2,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [2,5,6,1,7,8,4,3]=>[1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>144 [5,6,1,2,7,8,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [6,7,2,1,8,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,2,8,5,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [1,6,7,4,8,5,3,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [1,8,2,4,6,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,8,3,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,4,5,3,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,3,4,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,4,6,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,5,4,6,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,3,8,1,2,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,4,7,5,2,6,8,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [4,2,3,8,6,7,1,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [6,2,4,8,5,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,2,4,8,1,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,5,4,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,3,5,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,2,3,4,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,3,4,8,1,6,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,4,8,5,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,6,3,8,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,2,6,7,3,8,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [4,5,2,7,1,8,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [4,3,6,5,7,8,1,2]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [4,2,3,5,6,8,1,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>12 [5,2,6,4,7,8,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [4,2,6,7,3,8,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [6,4,5,2,3,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,4,6,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,5,2,3,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [6,4,2,5,3,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,4,2,5,3,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,6,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,7,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,2,5,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,8,7,4,5,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,6,7,5,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,4,7,5,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,7,4,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,6,4,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,4,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,2,4,7,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,6,7,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,4,6,7,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,6,7,4,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,7,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,6,4,8,7,5,3,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [4,6,2,8,7,5,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [8,2,4,6,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,4,8,7,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,2,6,8,7,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,2,6,5,8,7,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [6,2,4,5,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,2,6,7,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,2,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,5,2,8,7,3,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,5,8,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,7,4,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,7,2,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,8,7,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,7,5,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,6,8,7,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,5,8,7,2,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,1,6,8,7,4,5,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [2,6,8,7,4,5,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,4,8,6,7,5,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,2,8,6,7,5,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,2,8,4,7,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,2,6,4,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,2,7,5,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,6,8,2,7,5,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,6,8,4,7,5,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [4,6,8,7,2,5,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,5,8,2,7,3,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,1,6,8,4,7,5,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [2,1,8,6,4,7,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,8,7,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,6,4,7,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,6,2,7,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [9,8,7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,4,8,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,4,7,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [5,9,4,8,3,7,1,2,6]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [9,5,8,2,4,7,1,3,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,5,8,4,7,1,2,3,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,3,5,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,5,7,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,9,3,5,8,1,2,4,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [6,9,5,8,1,2,3,4,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [9,2,4,6,8,1,3,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,4,6,8,1,2,3,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,6,8,1,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [5,7,9,1,2,3,4,6,8]=>[1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>315 [7,9,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [10,9,8,7,6,5,2,4,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,3,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,4,8,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,4,7,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,2,4,6,1,3,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,4,6,1,2,3,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,5,9,4,8,3,7,1,2,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,5,8,2,4,7,1,3,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,5,8,4,7,1,2,3,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,3,5,7,1,2,4,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,5,7,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,10,5,9,2,4,8,1,3,7]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [6,10,5,9,4,8,1,2,3,7]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [10,3,6,9,2,5,8,1,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,9,3,5,8,1,2,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,9,5,8,1,2,3,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,2,4,6,8,1,3,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,4,6,8,1,2,3,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,6,8,1,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,10,2,4,6,9,1,3,5,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [7,10,4,6,9,1,2,3,5,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [7,10,6,9,1,2,3,4,5,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [10,3,5,7,9,1,2,4,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,5,7,9,1,2,3,4,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,9,1,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,2,5,7,4,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [8,5,2,1,4,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,3,2,5,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [2,3,6,4,7,8,5,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>72 [7,5,1,8,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,7,8,2,6,3,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [7,1,6,3,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,1,7,8,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,3,1,2,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,6,3,5,2,4,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [3,4,8,2,7,5,1,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,3,2,8,5,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,8,4,7,2,5,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,4,8,1,5,3,7,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,1,6,2,7,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [1,8,4,6,7,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,6,3,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,7,6,8,3,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [2,8,1,6,5,7,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,6,8,2,5,3,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,1,2,4,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,3,7,4,8,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,2,6,8,4,3,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [7,8,1,5,4,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,2,4,8,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,7,5,1,8,4,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [2,7,8,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [5,7,4,3,8,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [4,8,1,6,3,5,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,3,1,7,4,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,8,2,4,5,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,1,3,7,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,6,8,7,1,4,5]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [4,3,2,8,5,7,1,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,6,4,2,8,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,7,3,2,5,1,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,2,3,8,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [2,4,3,5,1,8,6,7]=>[1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>6 [3,2,8,1,4,6,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,7,8,5,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,6,1,8,4,7,2,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,1,6,8,3,2,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,6,1,8,3,2,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,7,8,1,3,2,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,7,8,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [2,7,8,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [4,7,8,2,1,3,6,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,6,1,8,2,3,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,1,6,8,2,3,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,6,2,8,1,3,7,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,6,2,8,4,7,1,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,3,6,8,4,7,5,1]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [4,2,6,8,3,1,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,1,2,5,8,3,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [5,1,2,4,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,2,4,1,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [3,2,5,4,8,7,1,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [5,4,2,1,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,1,4,2,3,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,4,1,3,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,4,3,1,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [3,1,5,4,8,7,2,6]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [3,6,5,8,7,1,2,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,1,3,5,8,2,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [4,3,6,8,2,1,7,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [5,3,1,4,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,1,3,4,2,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,1,3,2,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,3,2,1,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [4,3,2,5,8,1,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,2,4,5,8,7,1,6]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [4,2,3,5,8,1,7,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [5,2,3,1,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,2,1,3,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,1,2,3,4,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [8,6,2,5,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,7,4,2,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,7,5,3,8,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [8,2,1,6,3,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,6,2,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,1,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,3,7,8,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,5,8,2,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,1,6,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,5,6,7,3,4,8,2]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>32 [6,7,8,2,1,4,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,4,7,6,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,8,4,7,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,1,3,7,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,1,7,8,6,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [3,5,8,2,7,1,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [6,2,8,5,3,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,2,6,4,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,5,2,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,3,7,4,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,7,2,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,6,3,7,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,3,4,1,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,1,7,6,2,8,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,8,2,5,7,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,5,6,7,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,2,8,3,1,5,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,2,7,1,8,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,2,1,8,7,5,6,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [8,3,6,7,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,7,4,5,8,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [3,5,7,1,4,8,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [7,2,8,5,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,4,8,3,6,2,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,8,6,1,3,5,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,3,2,4,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,4,3,2,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,4,8,2,5,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,3,7,2,5,8,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,8,2,1,6,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,1,3,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,8,3,2,1,5,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,3,8,2,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,8,2,6,5,3,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,6,8,5,4,1,3,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [3,1,8,6,5,4,2,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,4,8,7,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,8,3,7,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,7,3,6,2,1,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,4,3,7,1,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [7,3,8,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,4,8,7,6,2,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,8,1,5,7,4,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,7,3,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,6,7,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,8,3,1,6,5,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [8,7,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,1,3,8,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,8,2,1,7,4,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,6,4,2,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [3,7,6,2,5,8,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,6,2,5,8,7,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [8,5,2,3,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,2,6,3,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [6,3,2,4,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,7,2,4,6,1,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [5,3,7,2,8,1,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [6,3,2,8,7,5,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,3,8,2,6,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,8,7,2,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,2,8,1,7,6,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,1,3,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,6,1,8,7,5,2,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,6,1,2,8,7,4,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [7,5,2,8,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,7,6,8,1,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,8,5,1,6,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,4,8,6,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,1,8,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,8,7,1,6,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [11,9,8,7,6,5,4,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,6,5,4,3,2,8,1,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,4,3,2,1,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,7,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,4,8,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,6,4,3,2,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,5,4,3,2,9,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [10,9,8,7,6,5,4,3,2,11,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [7,3,1,4,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,1,2,5,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,7,4,2,5,1,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [5,7,2,4,6,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [4,7,5,1,6,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,7,4,6,3,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [7,5,1,4,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,6,4,2,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,7,1,3,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,4,2,7,3,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,4,6,8,3,1,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,4,8,1,3,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,6,1,3,8,5,2,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,6,8,4,3,5,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [7,5,8,6,2,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,8,1,3,6,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,4,2,3,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,2,3,6,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,4,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,3,2,7,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,5,6,3,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,4,2,5,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,7,8,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [3,7,1,2,4,6,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [7,5,6,8,2,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,8,6,5,3,4,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,7,4,2,1,5,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,4,6,2,8,5,7,1]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [4,7,2,6,5,1,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [3,7,4,1,2,5,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [4,7,1,6,5,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,7,3,6,5,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,3,7,1,6,8,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,2,1,7,5,6,8,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,2,4,8,6,7,1,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [4,2,6,8,7,3,1,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,4,6,1,8,5,2,7]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [4,1,6,7,5,8,2,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [4,3,7,1,6,8,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,3,7,5,6,8,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [2,8,7,4,5,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,1,4,2,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,7,6,1,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,2,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,7,2,6,8,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,8,2,4,5,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,4,1,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,5,6,2,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,6,5,3,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,6,5,1,4,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,1,4,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,5,4,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,7,3,4,5,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,1,2,4,6,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,7,6,1,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,2,3,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,1,5,2,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,7,5,3,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,5,4,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,8,7,6,1,3,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,6,4,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,2,3,7,6,8,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [7,4,3,5,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,3,7,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,2,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,2,3,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,1,7,2,4,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [3,6,4,7,5,2,8,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [4,7,5,6,1,3,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,7,6,4,3,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,7,6,3,1,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [7,5,2,3,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,7,5,3,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,1,3,8,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,6,1,3,4,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,6,5,2,7,8,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [3,2,8,6,7,1,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,8,3,6,5,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,6,5,4,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,2,3,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,6,8,5,1,2,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,7,5,1,8,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [7,1,2,8,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,1,7,8,2,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,7,5,2,8,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,1,4,5,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,7,6,4,2,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [7,5,6,1,2,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,1,3,7,8,6,2,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [5,1,4,3,6,8,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [4,5,7,6,8,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [5,7,6,8,4,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,1,6,8,4,2,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [7,4,8,2,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,6,8,4,7,3,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,4,7,8,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [3,6,4,8,5,1,2,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,7,4,8,1,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [7,4,3,8,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,8,3,2,5,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,1,3,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,3,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,8,3,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,1,4,8,2,5,7,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [4,8,5,2,1,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,6,3,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,3,7,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,2,3,4,6,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,1,7,2,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,6,2,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,1,6,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,7,1,6,3,5,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,7,1,5,4,3,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [7,2,1,5,4,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,3,5,4,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,3,4,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,6,2,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,5,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,3,5,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,1,4,5,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,7,1,4,5,3,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [6,3,2,1,5,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [7,3,1,4,5,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,1,5,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,1,6,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,7,1,6,2,5,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,1,4,5,2,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [2,3,6,1,5,4,7,8]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>8 [6,3,4,1,5,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,2,4,1,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,2,5,1,3,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,5,2,1,3,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [7,6,1,2,4,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,1,2,8,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,1,2,5,4,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [4,7,1,3,5,2,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,1,5,3,2,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,7,1,4,2,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,1,6,2,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [4,2,5,3,1,6,7,8]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>3 [6,5,1,8,7,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,2,7,5,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,2,3,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,6,8,7,1,5,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [8,5,6,2,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,1,2,7,8,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [4,7,6,1,5,3,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,7,6,4,1,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [7,6,2,4,5,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,7,5,3,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [8,6,7,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,7,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,1,5,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,6,2,4,7,8,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [3,4,6,1,7,8,5,2]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>162 [3,4,8,6,7,1,5,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,8,5,6,7,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,4,1,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,1,7,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,7,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,5,7,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,7,2,5,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,7,2,1,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,5,2,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,8,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [6,5,2,7,8,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,1,2,8,5,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,7,2,1,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,1,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,7,8,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,5,6,2,1,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,7,5,2,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,3,5,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,1,3,4,6,8,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [4,5,3,6,8,2,7,1]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [5,6,3,4,8,1,7,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [4,6,7,8,5,1,3,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [8,4,3,1,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,6,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,8,6,3,4,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,6,8,1,5,3,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,4,5,8,3,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,6,4,8,7,1,5,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,5,8,1,3,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,6,8,3,1,2,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,1,8,3,5,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,6,8,3,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,6,1,3,5,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,8,3,5,1,2,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [3,4,8,1,2,6,7,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,8,2,4,3,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,3,1,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,3,5,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,2,3,5,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,5,1,4,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,8,6,1,3,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,7,1,8,4,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [2,7,8,6,1,4,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,3,8,1,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,5,1,8,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,7,8,4,1,6,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,6,5,4,1,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [4,1,7,6,3,8,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,8,2,5,7,6,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,6,5,3,4,1,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [4,6,1,5,2,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [6,2,3,5,1,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [2,6,7,5,1,8,4,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [8,6,1,2,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,5,1,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,6,5,2,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,6,3,5,1,8,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,1,4,8,7,6,3,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [7,4,6,8,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,1,3,5,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,8,7,5,1,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,8,5,1,6,7,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,5,1,6,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,6,7,2,8,1,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [3,5,1,8,6,7,4,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [5,2,3,8,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,3,5,4,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,3,8,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,1,5,3,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,6,3,2,8,1,4,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [8,1,6,3,5,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,6,8,3,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [2,7,5,8,1,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,6,2,8,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,1,3,7,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,8,7,5,1,6,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,3,8,1,4,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,8,5,7,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,6,8,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,1,4,8,7,5,6,3]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [7,1,5,8,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,6,8,2,4,1,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,5,8,2,6,7,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,2,8,1,6,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,5,8,4,6,7,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,8,3,4,6,7,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,3,2,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,1,6,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,4,8,1,6,7,3,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,1,8,2,6,7,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,4,8,7,2,1,5,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [7,8,5,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,5,7,4,1,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,8,4,1,6,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,1,4,6,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,3,4,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,7,3,8,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,4,3,2,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,3,2,8,4,6,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,4,2,6,5,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,2,5,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,3,6,2,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,8,3,2,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,5,8,2,4,6,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [6,4,7,8,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,8,3,6,4,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,2,5,3,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,4,3,1,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [2,8,7,3,5,1,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,3,8,6,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,2,7,3,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [2,1,7,4,3,8,6,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [6,1,4,3,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,1,3,2,8,7,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [1,8,4,2,7,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,7,2,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,1,4,8,3,7,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [2,1,6,8,5,4,7,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [6,1,5,7,8,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [8,3,1,6,7,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,8,6,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,7,6,1,2,5,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [3,7,6,1,5,2,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [7,3,6,1,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,4,7,1,3,2,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,7,4,8,2,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,6,8,2,5,1,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,4,6,2,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,7,2,3,8,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,4,7,5,8,1,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,4,8,5,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,3,6,1,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,6,4,2,1,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,2,1,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,4,1,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,1,2,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,5,1,3,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,7,1,2,5,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [6,8,4,1,2,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,5,8,1,2,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,1,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,2,1,7,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,6,1,8,2,4,7,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,4,1,8,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [3,5,1,8,7,2,4,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [4,6,1,8,3,7,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,7,1,2,8,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,8,4,1,7,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,6,8,1,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,6,1,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,8,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,8,7,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,8,7,6,2,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,1,8,7,6,5,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,6,4,5,2,3,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,7,4,5,2,3,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,3,5,2,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,6,3,5,2,4,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,6,3,4,2,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,7,3,4,2,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,6,7,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,7,3,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,3,4,2,6,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,3,5,2,6,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,4,7,3,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,3,6,2,5,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,3,6,2,4,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,4,6,2,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,5,6,2,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,6,2,4,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,3,2,8,5,6,4,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [9,1,2,3,5,4,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,2,4,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,4,6,5,7,8,9,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>96 [10,1,2,3,4,6,5,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,5,6,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,10,5,6,7,8,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,3,4,5,6,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,3,6,7,4,5,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,3,4,5,6,7,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,6,7,4,5,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,4,5,6,7,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,6,7,2,3,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,2,5,6,3,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,6,4,7,2,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,2,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,8,2,3,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,4,8,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,8,6,2,4,5,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,6,2,3,5,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,7,6,4,8,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,8,7,4,1,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,5,3,4,1,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,7,2,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,5,1,6,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,3,7,4,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [4,1,7,3,5,8,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [7,1,6,4,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,8,5,7,2,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,1,5,8,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,1,7,3,8,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [6,1,5,7,8,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,4,8,6,1,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,8,7,5,1,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,6,1,2,4,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [4,7,6,1,2,3,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [6,5,8,4,1,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,5,7,4,1,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,8,2,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,2,3,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,8,5,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,6,2,3,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,2,8,6,3,4,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,6,1,3,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,8,1,3,6,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,4,1,8,2,3,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [1,5,8,7,2,3,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,1,8,2,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,7,1,3,8,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [7,6,8,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,5,8,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,1,8,2,7,3,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,1,8,7,2,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,1,8,7,2,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,8,7,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [9,8,7,6,4,5,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,6,4,3,5,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,6,3,5,4,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,9,8,7,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,9,8,7,4,6,5,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,9,8,7,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,1,5,8,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,4,3,2,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,4,2,3,8,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,2,7,5,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [2,4,1,7,5,8,3,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>36 [7,1,4,6,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,4,6,5,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,4,6,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,4,3,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,4,6,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,4,6,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,4,6,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,4,2,7,5,3,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [3,4,7,2,6,8,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [3,4,7,1,6,8,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [3,4,7,1,6,8,5,2]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [6,4,2,3,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,2,7,5,8,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,4,2,7,5,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [3,4,7,2,6,8,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [5,4,7,3,6,8,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,8,3,2,5,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,3,5,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,1,3,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,1,2,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,1,2,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,6,3,4,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,5,1,3,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,1,3,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,4,2,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,7,3,6,2,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,4,7,2,6,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,4,3,7,5,1,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,4,3,7,5,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,2,4,3,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [3,8,7,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,2,1,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,7,3,6,2,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [7,3,8,2,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,3,8,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,2,8,4,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,3,2,8,6,5,1,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,8,7,5,1,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,4,3,7,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,7,8,5,1,2,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [5,3,7,8,4,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [6,2,5,8,3,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,4,8,3,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,2,3,8,4,1,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,3,8,7,4,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,2,8,6,4,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [7,5,3,8,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,7,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,3,7,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,3,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,5,3,8,2,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,4,6,3,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,6,3,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,6,3,7,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,3,5,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,6,3,5,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,5,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,3,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,8,4,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,5,8,4,3,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,3,4,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,5,8,3,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,3,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,8,3,5,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,7,3,5,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,4,8,3,7,2,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,8,3,7,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,4,7,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,4,7,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,7,3,8,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,4,7,3,8,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,4,6,3,8,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,3,7,2,4,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [4,3,1,5,6,8,7,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>12 [4,2,1,5,8,6,3,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [4,2,1,5,8,6,7,3]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [4,2,1,5,8,7,6,3]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [6,7,3,1,4,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,3,7,1,4,8,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [3,2,1,8,5,4,6,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,5,7,4,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,2,7,1,8,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [6,7,2,1,8,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,2,1,8,4,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [3,2,1,8,5,6,4,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,6,5,4,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,2,6,1,8,4,3,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,2,6,1,8,7,4,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,2,6,1,8,7,3,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,2,6,1,8,3,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [6,7,3,1,5,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [4,2,1,7,8,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,2,1,8,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,6,4,7,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,6,4,5,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,4,6,5,7]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,4,6,7,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,4,7,6,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,8,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [4,2,1,7,8,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [5,2,7,1,8,3,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [6,7,2,1,8,3,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [5,2,7,1,8,3,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [4,2,1,7,8,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [3,2,1,8,4,5,7,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [7,5,2,8,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,8,6,2,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,6,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,3,1,8,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,2,8,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,8,5,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,4,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,3,8,2,4,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,8,2,5,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,3,8,1,5,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,7,8,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,6,7,3,8,2,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [5,4,7,2,6,8,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,3,8,2,4,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,3,8,2,4,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,2,6,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,4,8,2,7,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,3,1,4,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [5,7,4,2,6,1,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,6,3,7,8,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [5,6,3,8,2,4,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [6,3,7,2,4,5,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,3,7,2,5,8,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,3,6,8,2,4,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [5,3,6,7,8,2,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [3,6,4,2,1,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [3,5,8,6,4,2,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,8,6,3,4,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,3,4,2,1,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [6,3,4,2,1,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,6,4,2,1,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [2,7,8,5,4,1,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,8,5,4,1,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,3,8,5,4,1,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,8,6,3,5,4,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,8,6,4,2,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,7,8,6,3,5,4,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [4,3,8,5,7,6,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,6,2,1,8,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,1,8,5,6,4,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,2,1,8,5,6,3,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [8,4,2,1,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,4,2,1,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,7,8,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,8,5,6,4,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,4,2,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,8,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [8,5,3,7,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,2,4,1,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,5,4,1,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,2,3,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,1,7,8,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [6,4,2,1,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,3,7,8,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,8,4,2,1,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,7,6,2,3,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [2,6,1,8,4,3,7,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [8,4,2,3,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,6,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,7,6,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,6,2,1,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [7,5,6,1,8,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,7,5,8,4,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,8,4,3,6,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,4,7,8,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,6,5,4,3,2,8,1,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>2 [6,9,8,5,4,3,2,1,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [7,5,8,9,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>36 [6,4,3,7,5,2,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,5,3,2,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,2,7,8,4,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,10,9,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [6,5,8,7,4,3,2,1,9]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>15 [8,6,9,10,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [5,9,8,7,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [6,4,3,2,5,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,4,8,9,6,3,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>36 [6,3,7,2,5,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,6,5,4,2,1,8,3,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>2 [6,3,2,7,5,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [8,4,2,6,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,2,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,3,2,5,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,2,1,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,5,2,3,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,6,2,3,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,6,3,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,2,8,6,4,1,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,3,7,5,2,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,1,7,3,4,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [7,1,6,3,2,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,2,7,4,3,6,8,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [6,1,8,2,4,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,1,8,3,2,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,2,8,7,1,5,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,8,2,7,1,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,2,1,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,1,3,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,6,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,7,8,2,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [8,6,7,1,3,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,1,3,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,5,8,2,3,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,3,2,5,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [8,4,2,7,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,2,8,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,4,2,8,3,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,4,2,3,8,1,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [7,4,2,1,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,2,1,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,3,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,1,3,4,2,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [4,6,2,1,5,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [4,7,2,1,3,6,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,7,1,3,2,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,7,1,2,4,5,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [8,6,1,2,4,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,3,5,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,2,4,5,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,8,1,3,2,6,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,1,3,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,3,2,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>2 [5,1,2,4,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [5,4,8,1,2,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,8,3,2,7,6,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,8,2,7,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,2,8,1,7,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,1,8,3,7,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,8,7,3,2,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,7,8,1,2,5,3,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [2,6,3,4,7,8,1,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [2,6,7,8,3,4,1,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [3,1,7,8,4,2,5,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [4,1,3,2,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [3,7,8,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,2,3,8,1,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,1,8,2,5,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,8,4,1,6,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [4,2,8,6,3,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,2,4,8,6,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,7,4,2,6,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,4,6,2,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [4,7,1,5,8,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,7,6,4,8,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [2,6,7,3,8,4,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [8,7,5,2,6,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,2,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,8,5,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,4,6,7,8,5,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [6,3,8,5,4,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,6,2,5,4,7,8,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [1,8,2,5,6,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,8,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,8,1,5,2,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,4,1,5,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,6,1,8,4,3,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,1,8,6,4,3,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,6,3,8,7,2,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [6,1,2,5,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,1,8,7,4,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,2,5,4,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,2,7,5,8,3,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [4,1,6,3,7,8,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [7,8,4,1,6,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,1,6,3,8,7,2,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [7,5,1,8,4,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,1,7,4,3,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [4,1,8,5,2,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,6,8,3,7,2,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [6,5,8,1,4,3,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,3,5,7,8,4,6,2]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [1,3,5,7,8,4,2,6]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [1,3,5,7,8,2,6,4]=>[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>72 [1,4,7,3,5,2,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [2,5,7,4,3,8,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [2,5,3,7,4,8,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [1,4,7,3,8,2,6,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,3,6,7,8,2,1,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [3,5,2,7,8,4,1,6]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [4,6,2,1,7,8,3,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [5,3,6,4,7,8,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [3,5,2,6,8,4,7,1]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [2,5,7,4,3,8,6,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,6,3,7,2,8,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [4,3,6,7,8,2,5,1]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [1,4,7,3,8,6,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,1,6,8,2,4,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [5,3,7,8,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [8,5,3,7,2,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,7,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,7,8,3,1,5,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [6,3,1,5,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,3,4,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,2,4,3,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [3,2,4,8,1,5,6,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [8,1,5,7,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,7,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,7,8,2,3,1,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [7,4,6,8,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,4,8,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,3,8,7,2,4,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,4,8,7,3,1,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,6,8,7,2,3,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,7,4,6,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,8,7,2,3,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,4,8,7,2,3,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,2,8,4,1,7,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,6,4,8,2,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,7,6,8,2,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,7,6,8,2,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [8,6,4,7,2,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,7,4,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,7,8,4,1,6,5]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [3,7,4,8,2,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,3,7,4,1,6,8,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [8,1,6,4,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,8,6,2,3,1,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [6,3,1,7,4,2,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [8,5,7,6,2,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,8,6,2,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,6,4,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,1,7,6,4,2,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [4,8,7,6,2,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,5,2,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,6,5,3,1,8,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,6,5,8,1,7,3,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,6,5,8,1,3,7,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,6,5,8,3,1,7,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [4,6,1,5,8,3,7,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,1,6,5,8,3,7,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,1,6,5,8,7,3,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [6,4,3,8,7,1,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,8,3,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,6,8,5,3,7,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [4,6,8,1,5,7,3,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,1,8,5,7,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,1,6,8,5,7,3,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,6,1,8,5,3,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,6,8,5,3,1,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,6,8,5,1,7,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [4,6,8,3,5,1,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,8,3,1,5,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,3,1,8,5,7,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,6,3,8,1,5,7,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,3,8,5,7,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,3,6,8,1,5,7,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,3,6,1,8,5,7,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,3,6,1,8,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,3,6,8,1,7,5,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [6,5,2,8,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,2,8,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,5,8,7,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,5,8,7,3,1,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,6,3,8,1,7,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,3,1,8,7,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,1,6,3,8,7,5,2]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,1,6,8,3,7,5,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,6,1,8,3,7,5,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,8,1,3,7,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,2,8,5,7,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,8,5,7,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,4,8,7,1,5,3,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,2,8,7,5,3,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,4,1,8,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,4,8,7,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,1,8,7,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,2,8,7,5,1,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,4,8,7,3,5,1,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,3,4,5,6,8,9,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>144 [2,3,4,7,8,5,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>64 [2,3,7,1,4,8,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [2,6,1,3,7,8,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [2,3,4,5,6,7,10,1,8,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>128 [2,6,7,3,4,8,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [3,4,5,6,7,8,9,10,11,2,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>6561 [1,5,3,2,6,4,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [1,7,3,2,8,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,5,2,4,3,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,4,2,5,3,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [5,4,7,6,2,3,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [3,6,4,8,2,1,5,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,7,2,3,6,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,2,3,5,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,3,2,7,4,6,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [3,6,8,4,2,1,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,3,2,6,1,8,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [1,5,8,2,7,4,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,2,3,4,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,1,8,2,3,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,3,1,8,4,5,7,6]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [7,3,2,1,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,8,1,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,2,3,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,2,3,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [1,8,2,3,4,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,2,3,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,1,3,5,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,1,4,3,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,1,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,2,1,5,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,1,6,5,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,7,8,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,4,1,8,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,4,1,7,3,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,4,6,2,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,4,2,5,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,4,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,5,4,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,7,8,1,5,3,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [1,8,7,3,5,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,1,8,2,7,4,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,7,2,8,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [6,1,2,8,5,3,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,2,1,8,4,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,3,2,8,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,7,8,4,3,5,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [7,1,8,3,5,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,8,2,3,4,6,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,7,1,3,4,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,8,1,3,4,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,2,3,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,6,2,3,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,3,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,7,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,2,3,4,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,6,2,3,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,2,3,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,4,8,7,5,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,8,7,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,5,3,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,2,1,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,1,2,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,7,2,6,1,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,2,8,1,6,3,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,2,1,4,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,5,1,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,8,1,5,2,7,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,2,4,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,8,3,6,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,8,7,6,2,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,7,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,8,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,7,6,4,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,7,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,7,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,1,4,5,6,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,1,7,3,6,5,8,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [3,1,7,2,6,5,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [3,2,7,1,6,5,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,1,2,8,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,1,8,5,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,1,8,5,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,2,1,7,5,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,1,3,8,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,3,7,1,6,8,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [7,8,2,6,5,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,2,7,5,6,3,8,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [2,8,7,6,4,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,7,6,1,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,6,2,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,7,6,2,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,6,1,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,6,4,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,3,7,5,6,8,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [3,8,7,6,4,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,1,4,6,8,2,3,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [1,6,8,5,7,3,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [2,4,1,5,8,6,3,7]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>24 [5,6,7,2,1,4,8,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [7,8,6,5,1,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,4,8,5,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,5,2,4,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,3,1,6,8,5,7,4]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>12 [7,3,2,5,1,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,4,2,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,5,8,3,4,6,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [8,3,1,2,4,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,8,1,6,5,4,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [8,1,4,7,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,7,8,6,2,1,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [3,4,8,6,2,7,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,8,2,1,6,7,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,2,8,6,4,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,1,2,7,5,3,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,3,2,8,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,7,8,4,6,3,1,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [1,4,5,7,2,6,8,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>36 [7,3,5,2,6,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,2,3,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,3,5,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,6,4,3,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,2,6,4,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,8,7,6,5,1,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [1,2,8,7,3,6,5,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,2,8,7,3,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,5,8,7,1,2,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [1,5,8,7,3,2,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,8,7,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,6,8,1,7,5,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [3,6,8,4,7,2,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,5,8,3,7,6,1,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,2,8,4,7,6,1,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,5,8,3,7,2,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [3,5,8,4,7,2,1,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,6,8,2,3,7,1,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [1,6,8,4,2,7,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,5,8,4,2,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,5,8,2,3,7,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [2,1,8,4,3,7,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,5,8,4,3,7,1,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,6,8,4,1,2,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,8,1,3,2,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [1,6,8,4,3,2,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,6,8,4,3,2,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [7,1,2,8,6,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,4,8,6,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,1,8,6,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,4,8,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,4,8,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,5,8,3,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,6,4,8,7,2,1,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,2,4,8,7,6,1,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [3,1,4,8,7,2,6,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [4,6,5,8,1,2,7,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [7,6,1,4,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,1,3,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,3,4,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,5,1,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,5,3,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,1,4,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,1,3,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,3,4,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,5,4,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,3,5,4,8,7,1,6]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>24 [3,6,5,4,8,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [7,6,5,2,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,1,4,2,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,1,2,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,2,4,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,5,4,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,5,2,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,2,4,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,6,5,4,3,8,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [7,6,1,4,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,5,4,3,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,4,2,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,8,3,5,4,1,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,6,8,3,5,4,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [4,7,1,2,8,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,8,1,2,7,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,7,1,3,6,8,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [6,7,3,2,8,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,3,4,2,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,1,2,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,7,4,2,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,2,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,3,1,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,4,1,5,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [4,7,5,1,6,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [2,7,1,3,6,5,4,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [4,1,8,2,6,5,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,6,1,2,8,5,3,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [8,4,3,1,5,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,6,3,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,3,4,8,6,7,2]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,4,3,8,1,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,5,3,4,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,2,1,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,7,3,2,5,1,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,8,3,2,5,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,7,1,4,6,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,1,3,4,7,6,8,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [6,1,4,2,7,5,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,7,5,4,1,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [7,6,4,2,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,7,6,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,8,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,9,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [2,10,9,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [9,2,8,7,6,5,4,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [3,9,8,7,6,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [8,7,2,6,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,8,7,6,5,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,8,7,6,5,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,9,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [7,3,8,6,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,2,9,7,6,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,1,10,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [4,8,5,7,6,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,6,1,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,5,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,5,3,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,1,7,5,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,4,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,1,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,1,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,1,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,6,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,1,7,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,2,1,5,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,2,7,5,1,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,7,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,1,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,4,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,7,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,1,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [8,2,6,1,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,1,6,7,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,6,1,8,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,2,5,1,8,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [7,5,1,6,8,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,7,1,8,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,7,3,8,1,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,5,4,1,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,1,4,8,2,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,1,6,4,7,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,8,1,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,8,4,1,3,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,3,7,4,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,7,3,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,7,3,2,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,1,8,4,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,1,8,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,3,1,7,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,1,7,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,8,1,7,2,3,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,5,8,1,2,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,3,1,8,5,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,2,7,8,3,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,8,1,7,3,2,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,1,7,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,7,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,4,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,8,2,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,3,8,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,2,3,6,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,8,7,1,5,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [7,8,5,2,3,6,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,2,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,2,3,4,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,5,2,6,8,1,4,7]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [5,2,4,6,8,1,3,7]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,1,3,4,6,8,2,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [4,3,5,7,2,8,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [4,6,3,1,7,8,2,5]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [5,7,1,3,4,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,1,3,4,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [3,5,6,4,1,7,8,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>96 [6,4,7,1,3,5,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [2,6,7,4,5,8,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [2,6,7,4,8,1,3,5]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [6,3,7,2,4,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [3,5,7,2,8,1,4,6]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [3,7,2,4,8,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [7,2,4,6,8,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,3,4,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,7,2,4,6,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,5,7,2,6,8,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [6,3,7,2,5,8,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,3,5,7,2,8,1,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,3,5,7,2,4,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,2,4,5,7,3,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,2,4,5,1,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [4,7,1,2,5,6,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [2,6,7,5,8,1,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [4,6,7,1,2,5,8,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [5,6,2,4,7,3,8,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [6,4,5,1,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,3,5,1,7,8,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,5,7,2,8,1,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,5,7,1,3,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,6,4,7,1,3,8,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [7,5,3,2,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,5,2,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,2,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,4,1,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,3,1,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,2,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,4,2,1,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,5,3,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,3,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,6,3,7,4,1,8,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [5,6,7,3,1,4,8,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [6,7,3,4,1,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,7,4,2,1,5,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [5,6,7,3,1,8,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [5,6,3,7,8,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [5,6,3,7,2,4,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [5,6,7,2,3,8,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [7,4,5,2,8,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,3,2,4,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [7,6,4,2,1,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,3,4,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,3,2,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,3,2,5,1,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,5,3,2,7,8,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,5,3,2,7,4,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,4,5,2,7,3,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,4,5,2,7,8,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [7,4,5,2,6,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,5,6,1,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,6,2,1,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,3,5,1,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [5,6,7,4,1,2,8,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [5,6,7,2,4,1,8,3]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [5,6,4,2,7,8,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [6,5,7,2,1,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,5,7,2,1,4,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,7,8,3,6,4,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,8,5,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,8,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [1,7,8,5,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,7,5,8,6,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [3,7,5,8,6,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,5,8,6,4,1,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [5,7,3,8,6,4,1,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [7,3,8,5,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,5,8,6,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,5,7,8,6,4,1,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [3,5,7,8,1,6,4,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [5,3,7,8,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [7,3,5,8,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,8,5,6,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,8,1,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,8,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,5,8,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,7,8,3,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [3,1,7,8,5,6,4,2]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [5,1,7,3,8,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [7,1,5,3,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,5,8,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,8,1,5,3,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,5,1,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,3,5,8,1,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,3,7,1,8,6,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [3,5,7,1,8,6,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [1,7,5,3,8,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,7,3,1,8,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,3,8,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,5,8,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [1,7,5,8,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,8,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [3,7,8,5,1,6,4,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,3,6,1,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,6,3,1,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [7,5,8,6,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,8,1,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,8,1,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [1,7,8,3,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,7,3,8,5,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [3,7,1,8,5,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [5,7,1,8,3,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,7,1,8,6,3,4,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [7,5,1,8,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,8,1,6,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,8,5,1,6,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,1,3,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,5,8,1,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,1,8,3,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,1,3,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,7,1,3,8,6,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [3,7,1,5,8,6,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [1,7,3,5,8,6,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,5,1,7,8,6,4,2]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [5,3,1,7,8,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [7,3,1,5,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,1,8,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,8,1,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,8,3,1,5,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,3,5,6,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,8,3,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,3,8,5,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,3,5,8,6,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,7,3,4,6,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,3,4,8,6,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,3,4,8,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,3,4,1,8,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,3,4,1,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,7,3,4,6,1,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [7,3,5,6,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,7,3,1,4,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,3,1,4,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,7,3,1,4,8,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,3,1,4,8,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,3,7,4,1,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,3,7,4,1,2,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,3,7,1,4,2,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,3,7,1,4,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [3,7,5,1,2,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [7,8,3,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,3,8,5,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,5,8,1,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,7,5,1,2,6,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,5,1,2,6,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [6,1,4,3,5,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,4,7,8,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [7,5,6,2,8,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,7,2,5,8,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,2,4,5,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,1,4,6,3,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [3,8,6,7,5,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,2,7,8,3,4,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [2,5,3,4,8,1,7,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [8,7,1,2,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,8,2,3,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,7,6,2,8,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [3,7,8,1,5,4,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [7,1,3,4,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,3,6,5,7,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,7,1,4,6,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,6,1,8,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,7,2,6,3,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [2,1,8,4,6,7,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,7,8,6,3,1,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [3,8,1,5,6,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,7,2,4,8,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [2,8,3,6,7,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,1,7,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,4,5,8,1,7,6]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [7,4,6,3,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,7,3,2,1,8,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [6,4,7,5,2,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,4,8,1,7,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,8,7,2,3,1,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,3,1,8,7,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [7,6,8,1,3,5,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,5,2,3,1,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [4,7,2,6,5,1,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [6,4,2,1,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,2,1,5,6,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,7,2,6,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,8,2,5,3,1,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [2,1,7,3,6,8,5,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [2,5,7,8,3,6,1,4]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [6,4,1,5,7,2,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [7,4,8,1,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,2,7,8,6,3,5,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [6,1,7,4,3,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,8,3,4,2,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,5,8,3,7,4,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,4,8,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,8,7,5,3,4,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,6,3,1,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,4,8,2,5,7,6,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,5,7,2,8,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [2,6,4,8,7,5,1,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,3,7,2,8,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [3,6,2,5,8,7,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [5,2,8,4,7,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,2,4,8,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,2,4,8,7,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,2,7,3,8,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [2,5,1,4,7,3,8,6]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>24 [6,1,3,8,7,2,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,1,4,2,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,1,5,3,2,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>3 [7,2,3,5,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,6,3,1,8,7,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [7,4,2,5,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,3,6,2,8,1,7,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [1,5,8,3,2,7,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,8,2,1,7,6,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,6,2,5,1,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [5,2,8,4,1,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,4,8,7,1,3,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,3,1,7,2,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [7,5,1,2,8,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,1,2,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,3,1,7,2,8,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,2,8,1,3,7,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,6,8,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [8,6,4,7,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,6,4,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,6,3,4,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,3,7,4,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,4,7,5,3,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,7,5,6,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,6,4,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,6,5,2,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,6,3,1,4,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [6,8,5,3,2,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,7,6,4,5,1,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [5,7,2,6,4,1,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,1,3,7,5,8,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [4,1,7,3,6,8,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [8,1,6,4,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,7,4,8,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,8,6,3,7,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,7,3,6,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,3,8,4,7,5,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [8,1,2,7,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,1,6,8,4,7,2]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [6,2,8,7,1,4,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,7,2,1,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,1,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,8,3,1,5,6,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,7,3,8,2,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [5,2,7,3,1,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [8,3,7,2,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,3,8,2,1,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,6,3,1,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,2,1,8,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,5,8,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,1,2,8,3,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,6,1,4,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,4,1,3,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,5,7,1,3,8,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,8,3,1,7,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,3,1,7,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,8,7,6,3,5,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,2,1,7,6,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,1,8,7,4,5,6]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [2,4,1,8,5,7,3,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [5,8,2,1,7,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,2,7,1,8,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,3,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,1,8,7,5,6,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,1,2,3,4,5,9,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [8,1,2,3,4,9,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [8,1,2,9,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [8,1,9,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,1,2,3,4,5,6,10,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [2,1,8,9,3,4,5,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [2,1,7,8,4,6,3,5]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [3,5,8,7,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,8,2,7,1,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,6,3,7,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,3,8,5,2,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,5,7,8,2,6,1,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [5,6,2,4,1,3,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [7,6,3,8,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,2,3,4,6,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,3,4,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,3,4,7,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,3,4,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,3,6,5,1,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,8,3,7,5,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,3,4,7,8,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [8,2,3,4,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,3,4,8,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,3,4,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [4,2,8,5,7,6,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,6,4,5,1,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [3,8,6,4,5,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,7,3,6,5,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,8,3,7,5,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,3,6,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,5,1,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,7,5,8,6,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,8,1,7,3,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,7,8,4,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,2,8,3,7,6,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,2,7,3,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,3,2,5,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,3,8,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,2,3,4,7,5,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,2,3,4,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,2,3,4,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,3,4,1,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,2,3,4,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,8,3,1,5,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,2,3,4,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,3,4,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,2,3,4,8,7,5,6]=>[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,2,8,5,3,4,6,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,8,4,2,3,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,7,4,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,6,7,5,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,8,4,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,1,5,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,5,1,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,8,5,7,1,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,7,1,5,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,1,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,5,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,7,2,5,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,1,4,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,1,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,5,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,8,7,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,5,8,7,1,2,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,3,8,5,7,1,6,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [3,8,7,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,5,8,7,1,6,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,3,8,6,7,5,1,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [3,2,8,6,7,5,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,8,6,2,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,7,4,1,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,1,8,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [2,8,7,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,1,5,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,2,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,3,7,2,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,7,1,3,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,7,1,8,2,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [7,1,8,2,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,6,3,7,4,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,6,7,5,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,4,2,7,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,3,6,1,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,3,4,7,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,4,5,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,2,5,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,4,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,6,1,7,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,1,8,2,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,2,8,6,7,1,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,7,4,1,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,3,6,7,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,2,1,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,2,3,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,2,6,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,7,3,6,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,3,6,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,7,6,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,7,4,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,7,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,7,3,5,6,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,1,6,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,1,6,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,8,6,7,5,3,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,8,3,6,7,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,3,6,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,2,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,7,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,2,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,2,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,8,6,7,3,5,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,1,2,7,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,3,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,7,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,3,6,7,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,8,2,3,6,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [8,3,7,1,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,5,7,4,6,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,1,8,5,7,4,2,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,3,5,7,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,2,4,5,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,6,4,3,5,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,8,3,5,4,7,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,7,5,8,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [8,4,2,7,6,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,7,6,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,1,8,6,2,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [6,3,8,7,5,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,3,5,8,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,6,4,2,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,4,8,2,1,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,4,6,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,2,1,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,5,2,3,1,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,6,2,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,2,5,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,6,5,8,1,3,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,7,1,5,3,8,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,8,1,3,6,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [5,7,1,3,4,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,1,4,2,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,8,1,3,2,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,1,3,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,6,2,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,8,7,2,3,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,7,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,3,7,2,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,4,6,8,2,3,7,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [5,7,4,2,8,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,4,7,2,1,8,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,5,3,4,1,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,8,5,4,1,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,4,3,7,1,5,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [9,8,7,6,5,2,3,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,3,4,2,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,5,6,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,6,7,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,4,2,6,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,2,5,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,4,2,8,1,5,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,7,8,2,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,3,5,6,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,3,1,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,2,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,3,7,2,8,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,3,8,2,6,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,3,8,2,5,4,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,2,1,5,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,3,1,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,3,7,8,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,7,8,5,6,3,2,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [5,3,7,6,8,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,7,8,4,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,8,4,3,6,7,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,4,7,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,6,2,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,8,6,3,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,8,6,7,5,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,8,7,2,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,3,8,7,2,6,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,8,6,7,2,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,7,8,6,2,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,7,6,4,8,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,8,4,6,7,2,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,2,8,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,2,4,3,7,8,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,4,6,2,8,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,6,3,8,7,2,4,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [6,7,4,3,1,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,7,4,3,6,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,3,8,6,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,5,8,6,7,3,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,6,8,5,7,3,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,6,8,3,7,2,4,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,4,6,8,2,7,1,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [5,7,8,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [3,6,8,5,7,1,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [1,7,4,8,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [3,6,2,5,7,8,1,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [5,2,7,4,6,8,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,3,6,7,1,8,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [4,2,5,6,7,1,8,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>54 [8,1,3,6,7,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,2,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,2,7,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,3,8,2,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,4,1,8,5,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,3,4,1,5,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,7,5,2,8,6,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,7,4,1,8,5,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [5,6,3,1,7,8,4,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [3,6,4,8,1,5,7,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [1,5,8,4,2,6,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,1,8,2,3,7,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,7,1,8,2,6,3,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [7,5,1,2,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,2,6,1,3,4,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [7,8,4,5,1,3,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,7,1,3,2,5,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,7,1,4,3,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,8,2,3,1,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,4,2,6,5,7,3,8]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>6 [6,7,2,4,1,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,7,2,4,3,5,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,7,2,3,1,5,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,7,3,5,4,8,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [2,4,1,6,5,7,3,8]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>18 [3,6,5,7,4,8,1,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [4,5,2,6,1,7,3,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>24 [4,5,1,6,3,7,2,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>24 [4,5,3,6,1,7,2,8]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>24 [6,7,4,5,1,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,7,5,8,1,3,2,4]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [1,4,3,6,2,7,5,8]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>6 [4,5,3,7,6,8,1,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [4,6,5,7,3,8,1,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [2,4,3,6,1,7,5,8]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>18 [3,6,2,7,5,4,8,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [4,6,1,7,3,8,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [2,5,7,3,1,8,6,4]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [2,5,7,3,1,8,4,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [5,2,6,7,1,8,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [2,3,1,6,8,5,4,7]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>12 [4,6,2,7,1,8,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [1,6,4,5,7,8,3,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [2,4,1,7,8,5,6,3]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>48 [3,6,5,2,7,8,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [6,2,4,7,5,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [3,7,4,1,8,6,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,4,6,8,5,7,2,1]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [4,5,6,2,8,7,3,1]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>96 [4,5,6,1,8,7,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>96 [4,5,1,7,3,8,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [5,3,2,1,6,4,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [5,3,2,6,4,1,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [3,5,7,2,8,6,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [5,2,1,6,4,3,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [5,4,2,1,6,3,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [5,4,2,6,3,1,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [3,6,1,7,5,4,8,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [5,4,1,6,3,2,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [5,4,3,1,6,2,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [8,2,1,7,6,5,4,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [7,3,1,6,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,8,1,5,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,2,7,6,5,8,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,8,2,6,5,4,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [10,1,11,9,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,2,1,8,7,6,5,4,3,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,3,1,7,6,5,4,9,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,2,9,1,6,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [7,3,2,1,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,8,6,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,2,7,6,8,4,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [3,8,7,2,5,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,9,2,7,6,5,4,1,8]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [2,11,10,9,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [10,2,1,9,8,7,6,5,4,3,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1 [9,3,1,8,7,6,5,4,10,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [9,2,10,1,7,6,5,4,3,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [8,4,1,7,6,5,9,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [8,3,2,1,6,5,4,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,2,9,7,1,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [7,5,1,6,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,2,1,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,8,6,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,9,8,2,6,5,4,1,7]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [3,10,2,8,7,6,5,4,1,9]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>36 [2,12,11,10,9,8,7,6,5,4,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>11 [6,7,1,4,3,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [3,4,2,6,7,1,5,8]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>27 [3,7,1,6,5,2,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,5,6,2,4,7,1,8]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>48 [3,5,8,7,2,4,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [1,7,8,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [8,7,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,5,6,4,7,1,3,8]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>48 [4,7,1,6,3,5,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,5,3,8,7,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [1,4,5,3,7,8,2,6]=>[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>27 [4,7,3,5,1,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [8,7,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,5,8,7,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,4,2,1,7,8,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [4,7,8,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,7,6,2,1,8,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [1,4,6,7,3,5,8,2]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>48 [8,3,6,2,1,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,6,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,1,8,4,7,6,5]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [2,7,4,8,6,5,1,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [8,6,5,1,4,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,1,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,7,2,8,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [1,7,5,3,8,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,7,4,1,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [8,6,3,2,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,5,1,3,8,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [3,7,2,4,8,6,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [5,1,4,3,2,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [3,7,8,5,2,4,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,6,2,4,1,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [1,6,8,2,5,7,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,7,2,5,8,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [5,2,7,8,4,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,3,1,7,8,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [2,7,6,4,1,3,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [8,4,2,7,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,1,7,5,2,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,2,7,5,3,1,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [1,5,8,2,7,4,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,7,2,8,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,7,3,1,8,4,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [8,4,7,3,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,8,5,7,4,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [6,5,2,1,7,4,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [5,7,4,6,2,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,6,4,8,3,7,2,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [6,7,1,8,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,8,3,5,1,4,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,6,2,7,1,8,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [6,7,2,4,3,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [2,4,3,8,6,7,1,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [1,8,2,7,4,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,3,1,8,5,6,4,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [3,8,5,6,4,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,7,3,6,4,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,2,3,1,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,2,4,3,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [4,7,1,6,2,5,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,1,5,3,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [6,7,3,5,1,4,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [5,7,1,6,3,4,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [1,8,5,6,3,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,6,4,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,1,6,4,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [4,6,5,8,1,7,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,7,1,4,2,8,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [4,6,5,8,3,7,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,5,8,2,3,1,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [1,8,3,5,4,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,7,2,3,1,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [2,4,3,8,1,7,5,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,6,3,8,1,7,4,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,7,1,8,3,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [1,2,8,7,4,6,3,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,7,4,8,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [4,5,1,8,7,6,2,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [5,1,2,8,7,6,3,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,5,8,7,6,2,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [2,3,6,8,7,4,5,1]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [2,3,7,8,6,4,5,1]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [4,5,7,8,2,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [4,5,6,8,2,7,3,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [5,2,6,8,3,7,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,1,4,8,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,8,4,7,3,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,8,3,4,7,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,3,5,7,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,1,7,8,6,4,5,2]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [5,2,7,8,3,6,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,6,7,8,2,5,3,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [7,4,5,2,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,8,4,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,4,5,2,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,5,3,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,3,8,4,2,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,5,3,8,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,4,7,5,8,6,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [3,6,7,4,8,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [6,7,4,2,8,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [4,7,5,2,8,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [2,7,5,3,8,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [5,6,2,8,3,7,4,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,7,8,3,2,6,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,6,8,3,2,7,4,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [3,6,8,4,2,7,5,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [1,5,8,2,7,3,6,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,4,7,2,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,8,1,3,7,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,7,4,8,1,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,7,2,8,3,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [1,7,4,8,6,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,4,2,8,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,8,5,3,7,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,2,3,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,5,3,8,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,2,3,8,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,7,4,5,8,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,3,4,8,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [3,6,4,7,8,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [6,4,2,7,8,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,4,2,5,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,1,8,3,4,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,4,2,5,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,5,8,3,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,5,8,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,3,4,7,8,5,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,1,2,7,4,5,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [2,5,8,3,4,1,6,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [11,1,2,3,4,5,6,7,8,9,12,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [5,6,2,7,4,3,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [4,6,7,3,2,5,8,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [2,6,7,3,8,5,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [2,6,1,8,4,5,3,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,5,7,8,4,3,6,1]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [2,12,1,3,4,5,6,7,8,9,10,11]=>[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>11 [3,6,8,4,5,7,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [1,6,8,4,7,2,3,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,4,5,7,8,2,6,3]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>72 [3,4,5,7,8,6,1,2]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>216 [3,4,5,7,6,8,1,2]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>162 [3,6,7,4,8,5,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,4,5,6,8,7,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>162 [7,8,1,4,6,2,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,6,7,4,8,2,5,3]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [7,8,1,2,3,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,6,7,2,3,5,4,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,2,5,7,3,6,4,8]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,2,5,7,3,6,8,4]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12 [1,6,8,2,3,5,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,4,5,2,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,4,5,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,2,3,4,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,2,3,7,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,4,5,7,6,2,8,3]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>36 [7,8,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,2,3,6,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,2,4,3,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,4,3,1,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [4,8,2,1,6,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,1,4,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,6,2,4,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,2,4,3,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,7,2,4,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,1,8,4,6,5,3,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,6,5,2,8,3,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,4,2,8,3,5,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,4,2,6,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,4,8,5,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,2,6,3,8,7,5,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [6,2,4,3,8,5,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,2,4,3,6,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,4,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,1,4,8,5,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,1,8,7,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,1,8,4,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,4,6,5,2,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,5,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,5,7,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,6,8,7,5,2,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,1,4,8,6,7,3,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,6,8,7,4,5,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,4,8,6,7,5,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,2,8,6,5,7,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,2,6,4,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,2,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,8,7,2,1,5,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,5,8,2,1,7,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,1,6,8,4,3,7,5]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [6,8,7,4,2,1,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,6,4,7,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,6,2,1,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,5,3,1,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,4,8,3,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,7,4,8,3,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,2,8,4,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,4,2,1,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,4,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,5,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,3,8,4,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,3,8,4,2,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,1,8,4,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,8,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,1,4,8,3,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,8,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,8,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,7,3,1,8,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,3,8,4,5,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,1,4,8,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,4,1,3,8,2,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [1,6,7,8,4,3,2,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [7,2,1,8,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,2,7,1,8,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,2,7,8,4,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,2,7,8,4,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [2,6,7,4,8,3,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [2,6,7,4,8,3,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [7,8,1,3,6,2,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,2,7,8,6,3,4,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [2,6,7,1,8,5,3,4]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [2,6,7,8,5,3,1,4]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [2,6,7,8,5,3,4,1]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [6,2,7,8,4,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,2,1,8,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,7,2,8,4,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [3,7,8,1,5,6,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [6,3,7,8,1,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,7,1,2,8,5,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [1,6,7,8,4,2,5,3]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [6,1,2,4,7,3,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [4,6,1,8,3,2,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,7,1,8,3,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,1,7,8,6,2,3,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [1,6,5,7,8,3,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [4,1,8,7,6,2,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,1,7,3,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,6,3,2,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,1,6,3,2,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [6,1,2,3,7,5,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,8,1,5,3,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,3,4,7,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [7,8,5,2,4,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,2,3,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,2,3,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,4,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,2,4,3,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,2,4,3,1,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [3,8,1,2,4,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,8,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,8,1,7,6,4,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,6,2,4,3,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,7,2,4,3,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,4,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,6,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,5,3,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,3,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,2,3,5,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,1,2,3,5,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [5,1,2,3,8,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [8,6,5,2,4,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,2,5,3,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,5,2,3,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,2,3,7,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,2,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,6,3,1,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [4,6,2,3,1,5,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [7,2,3,4,5,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,2,3,4,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,4,6,8,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,7,3,2,8,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,7,4,5,1,8,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,8,2,6,7,4,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,1,5,6,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,4,6,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,1,3,4,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,2,4,3,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,1,7,6,8,5,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [3,7,6,1,8,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,2,3,8,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [7,1,3,6,4,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,1,4,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,2,3,7,8,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,2,3,8,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,2,3,6,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,3,5,7,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,3,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,4,8,3,6,7,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,5,1,8,4,6,7,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,6,1,8,4,5,2,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,8,3,5,2,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,7,8,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,8,2,3,5,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,3,1,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,7,4,8,3,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [3,7,8,2,1,4,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,5,2,8,4,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [6,3,2,4,1,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,2,3,4,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,7,3,1,4,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,4,1,8,2,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [6,3,7,4,8,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,3,7,4,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,4,1,5,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [1,8,3,2,4,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,4,1,6,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,2,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,2,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,4,8,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,2,8,7,5,6,3,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,1,8,6,7,5,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,1,6,8,3,4,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,2,5,1,7,4,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [5,2,1,8,7,4,3,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,2,6,3,8,1,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,2,8,3,4,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,8,4,3,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,8,1,3,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,1,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,8,5,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,5,8,4,6,3,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,8,4,1,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,4,3,6,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,3,6,5,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,4,7,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,1,4,6,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,5,1,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,3,8,2,5,1,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,2,4,3,5,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,4,6,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,4,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,5,2,4,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [4,1,8,5,2,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,5,1,3,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,1,2,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,1,8,2,3,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,3,8,7,2,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,7,3,5,1,4,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,4,7,5,8,2,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,7,8,4,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,4,7,6,2,8,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,7,4,1,6,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,8,4,5,7,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,4,6,1,7,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,1,4,7,8,3,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [5,6,7,2,4,8,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [5,6,3,7,4,8,2,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,3,6,7,4,8,2,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [5,3,2,8,6,7,4,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,4,8,2,6,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,6,2,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,8,5,7,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,8,5,6,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,6,8,5,7,2,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,6,8,2,4,7,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,3,8,4,7,2,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [4,6,3,5,8,7,2,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,6,3,2,8,7,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [5,6,3,8,2,7,4,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [3,6,5,8,7,2,4,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,3,6,8,2,7,4,1]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,3,7,2,8,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,4,7,2,6,8,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,3,2,7,6,8,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [6,7,3,8,5,2,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,3,2,7,5,4,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,4,7,2,5,3,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,2,7,5,1,4,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [2,7,8,5,3,6,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [6,3,7,8,4,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [3,5,7,8,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [5,3,7,8,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,7,8,2,4,6,3,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,5,8,4,3,7,6,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,6,8,4,7,3,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [3,7,4,8,6,2,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,6,4,8,7,2,5,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,5,4,8,2,7,6,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [4,3,7,5,8,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,5,7,3,8,6,2,1]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [3,5,6,8,4,7,2,1]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [6,3,1,8,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,4,8,1,7,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,4,1,7,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,4,1,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,4,1,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,5,6,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,8,4,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,6,7,4,3,5,2,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,8,5,2,3,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,5,3,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,6,8,4,3,5,7,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [7,5,8,3,2,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,4,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,1,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,5,4,6,2,3,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [6,2,5,7,1,4,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,5,4,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,3,6,8,5,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,7,8,3,6,5,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,8,5,4,6,3,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,6,5,8,3,4,1,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,2,5,7,4,1,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,2,5,8,4,1,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,7,8,4,6,1,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [6,1,2,8,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,2,8,5,4,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,5,7,8,1,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,5,2,1,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,6,5,3,7,8,4,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [6,2,5,3,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,2,3,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,4,1,2,3,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,1,4,2,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [9,8,7,6,5,4,3,1,2,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,6,5,4,2,1,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,9,8,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,9,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,9,8,7,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,1,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,9,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,2,1,9,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,3,2,9,8,7,6,5,4]=>[1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,3,2,1,9,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,3,5,4,7,6,9,8]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,2,3,4,5,7,6,9,8]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,2,10,9,8,7,6,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,1,10,9,8,7,6,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,4,3,6,5,8,7,10,9]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,2,3,4,6,5,8,7,10,9]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,2,3,4,5,6,8,7,10,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1 [5,2,7,4,1,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [4,7,3,1,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,8,3,4,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,7,8,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,5,8,4,2,6,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,3,7,1,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [6,2,3,7,5,1,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [1,7,3,4,8,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,3,4,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,7,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,4,3,2,1,8,7,6,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,4,3,1,7,6,2,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,5,2,1,8,4,3,7,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,3,1,5,2,7,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,2,1,4,3,6,5,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,6,1,8,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,3,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,4,3,2,1,8,7,6,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,4,3,1,7,6,2,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,2,1,4,3,6,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,4,1,6,2,3,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,5,4,3,1,9,8,7,2,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,5,2,1,8,4,3,7,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,5,4,1,8,7,2,3,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,3,1,5,2,7,4,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,3,2,1,6,5,4,9,8,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,5,1,9,8,2,3,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,2,1,4,3,6,5,8,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,6,1,8,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,5,1,7,2,9,3,4,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,1,9,2,3,4,5,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,4,8,5,3,7,1,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,4,1,8,5,3,7,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,4,8,6,3,1,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,6,8,2,1,7,5]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [8,1,4,5,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,6,2,1,7,8,4]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>96 [3,4,6,2,7,8,1,5]=>[1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>162 [8,1,4,6,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,6,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,6,2,1,7,4,8]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>48 [8,1,5,6,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,6,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,6,1,8,7,2,4]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [2,1,3,8,6,7,4,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [8,1,3,2,6,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,8,6,7,1,5,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,4,1,8,6,7,5,3]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,5,8,6,1,7,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,6,1,8,7,4,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [3,4,6,8,7,1,5,2]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [8,1,4,6,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,1,6,7,8,4,2]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>162 [4,5,6,1,7,8,3,2]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>144 [8,1,5,6,7,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,6,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,8,7,4,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,2,7,8,5,1,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,1,4,8,7,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [1,8,6,2,4,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,6,2,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,2,1,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,1,7,8,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,6,1,2,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,1,3,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,6,3,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,3,4,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,2,5,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,1,5,4,8,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,8,6,3,4,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,6,1,4,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,2,1,5,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,5,8,4,7,3,1,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,3,7,5,4,8,1,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [6,8,3,2,4,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,2,5,4,8,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [1,5,8,4,7,3,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,4,7,3,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,2,4,7,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,4,3,7,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,5,6,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,4,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,4,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,5,4,7,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,3,1,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,2,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,7,4,6,8,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,1,3,2,7,8,5,6]=>[1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>3 [2,7,3,5,4,8,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,8,5,4,7,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,7,3,4,6,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [8,2,5,4,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,3,5,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,2,1,4,7,8,5,6]=>[1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>3 [8,1,7,6,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,5,2,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,6,4,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,2,5,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,6,5,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,3,6,5,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,6,5,2,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,8,6,4,2,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,4,2,8,1,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,8,2,6,4,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,2,5,1,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,3,5,2,1,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [2,5,8,6,3,1,4,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,3,6,8,1,5,7,4]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [6,3,8,5,2,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,7,5,2,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [2,8,7,6,3,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,5,8,7,6,3,1,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,4,8,1,6,5,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,8,7,3,6,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,3,5,2,1,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,4,2,5,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,6,8,1,4,7,5]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [2,7,8,6,3,1,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [7,3,8,5,2,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,8,6,3,1,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,5,2,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,8,1,3,7,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,5,8,1,7,3,6,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,8,1,5,7,3,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,6,1,4,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,1,4,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,6,8,1,5,7,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,7,1,5,8,3,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,1,6,3,8,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [4,7,6,1,8,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,7,5,8,1,2,6,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [7,3,6,1,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,4,8,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,6,1,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,5,8,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,8,4,5,1,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,6,8,5,1,7,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,1,7,6,2,3,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,1,7,6,2,8,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,1,8,7,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,5,1,7,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,1,8,4,7,5,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,1,8,7,5,2,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [8,4,6,1,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,1,7,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,1,8,7,2,3,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,4,8,7,1,2,5,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,8,4,1,7,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,6,4,7,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,7,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,6,8,3,7,1,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,4,7,1,2,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,5,1,2,7,3,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,5,1,8,2,7,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,5,1,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,1,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,1,8,7,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,5,1,7,2,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,5,1,7,2,3,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [5,7,4,1,8,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,6,8,7,4,1,2,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,8,5,7,4,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,3,8,1,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,4,2,3,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,5,8,3,4,6,7,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,6,2,7,1,4,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [6,2,3,8,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,6,8,3,4,7,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,4,3,7,8,1,5,6]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>48 [5,3,2,7,4,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,1,2,7,6,8,4,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [3,5,6,4,7,8,1,2]=>[1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>216 [5,4,2,3,7,8,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [4,1,8,2,5,7,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,1,8,4,7,2,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,2,3,8,4,1,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,6,4,1,5,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [3,2,7,6,4,1,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [2,5,4,1,7,6,8,3]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>24 [6,2,1,4,7,8,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [2,6,5,1,7,8,3,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [4,7,5,2,1,6,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,2,3,7,8,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [5,8,3,1,7,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,3,1,5,2,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,1,7,4,2,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,8,4,2,1,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,2,1,7,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,2,1,4,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,3,2,5,1,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,3,1,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,2,1,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,2,1,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,1,7,3,2,4,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,2,1,8,3,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,8,1,6,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,4,7,2,1,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,4,3,1,7,5,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [4,2,1,6,5,8,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [4,2,1,8,5,7,3,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [7,4,3,1,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,2,1,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,2,1,7,4,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,4,2,1,7,5,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,5,2,1,8,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,1,8,4,2,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,1,8,3,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,2,1,7,3,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,3,2,7,6,1,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,3,2,8,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,3,2,8,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,2,8,1,7,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,7,2,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,1,5,8,4,7,3,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [4,3,2,5,8,1,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [5,4,1,7,2,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [6,5,3,1,7,8,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,4,2,1,7,8,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,4,2,1,6,7,3,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>4 [5,3,2,1,6,7,4,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>4 [6,4,2,1,7,8,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,3,2,6,8,1,7,4]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [4,3,2,6,1,7,8,5]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>12 [5,3,2,1,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [8,6,1,4,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,4,5,7,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,2,8,3,7,4,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,8,5,4,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,8,6,3,7,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,5,7,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,2,8,4,3,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,2,7,3,6,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,4,2,8,3,6,1,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,5,3,8,4,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,2,8,4,3,7,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,8,3,7,4,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,3,7,1,2,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,4,3,8,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,6,3,8,4,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,8,5,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,3,8,4,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,4,2,7,3,1,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [7,6,4,8,2,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,8,1,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,3,1,7,8,4,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,3,2,7,8,4,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [6,5,1,7,8,2,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,3,1,7,8,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,4,1,7,3,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [6,3,2,7,8,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,1,5,4,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,7,6,1,3,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,5,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,5,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,2,5,3,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,1,3,5,2,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,1,3,7,4,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,8,7,5,2,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,7,1,8,5,3,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [2,7,6,4,8,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [6,5,2,7,1,4,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,4,6,1,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,2,1,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,7,6,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,5,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,5,6,7,1,4,8,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>192 [2,7,6,1,3,4,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [5,7,2,1,6,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [4,7,2,5,6,3,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [8,6,2,5,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,4,5,3,8,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [6,8,7,1,3,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,6,5,7,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,8,4,3,2,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,5,6,2,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,5,6,2,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,1,3,2,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,3,1,7,8,6,4,5]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>8 [3,5,7,6,2,8,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [5,4,1,2,8,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [8,4,5,2,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,2,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [5,1,3,2,7,8,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [4,6,7,8,3,1,5,2]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [7,6,2,8,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,2,8,6,3,4,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,6,8,4,3,2,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,3,8,1,7,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,6,7,8,4,2,1,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [6,5,1,8,4,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,8,4,2,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,5,8,3,1,6,7,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,8,1,2,6,7,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,2,8,1,5,6,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,5,8,3,2,6,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [3,2,7,8,4,6,1,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [5,1,8,3,4,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,8,7,2,1,6,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,1,6,3,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,4,2,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,7,2,5,8,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [8,4,5,2,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,8,1,2,6,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [8,6,1,3,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,2,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,6,1,3,4,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,6,1,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,3,4,5,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,7,4,3,6,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [2,6,4,3,7,8,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [7,4,1,8,3,2,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,2,1,7,8,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,6,3,1,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,7,5,2,4,6,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [5,6,1,7,4,2,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [3,7,4,8,1,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [6,3,5,7,8,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [3,6,5,7,1,8,4,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [6,4,7,8,2,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,7,3,8,4,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [2,7,8,3,4,6,1,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [7,5,8,4,1,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,7,5,8,3,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [3,6,7,4,8,1,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [5,7,3,1,6,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [2,7,3,1,8,6,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,8,4,3,1,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,1,2,3,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,6,8,1,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,8,5,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,8,5,4,6,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,4,5,2,7,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,4,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,1,3,5,2,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [5,7,2,3,6,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [8,5,3,2,7,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,6,7,5,8,1,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>216 [2,6,4,5,7,8,3,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [3,8,5,1,6,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,5,1,3,6,8,7,4]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>24 [6,3,5,7,1,4,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,3,4,6,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,2,8,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,7,6,4,1,8,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,8,4,1,5,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [8,7,5,4,2,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,8,6,7,4,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,8,1,6,7,3,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,7,2,5,1,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,8,2,1,6,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,2,8,6,3,7,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,6,1,5,8,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,6,5,1,4,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,7,1,4,3,6,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [8,2,1,5,7,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,7,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,3,5,8,2,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,8,4,2,6,7,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,6,8,3,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,1,7,2,6,8,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [5,1,7,2,3,6,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [7,2,1,6,3,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,2,5,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,4,1,2,7,8,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [8,1,3,2,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,2,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,8,3,4,7,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,5,8,1,2,7,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,6,8,1,2,4,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,1,3,8,7,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,5,8,1,7,2,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,6,8,1,7,3,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [6,1,5,8,2,3,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [1,8,3,2,7,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,6,7,3,8,1,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [8,4,1,7,3,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,2,8,6,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [6,2,3,8,7,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,8,2,4,3,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,7,3,5,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,8,2,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [6,5,1,4,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,6,1,7,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,2,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,7,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,4,1,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,8,5,2,7,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,6,7,5,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,1,8,7,3,6,4,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,6,5,8,2,4,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,2,1,8,7,3,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,5,2,7,4,3,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,2,7,1,8,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [2,7,5,4,8,3,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [8,7,5,1,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,2,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,2,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,8,1,3,2,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,1,4,7,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,3,8,7,4,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,4,8,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,5,7,4,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,7,8,2,3,5,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [8,7,4,6,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,1,3,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,8,3,2,4,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,2,6,5,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,7,6,5,2,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,1,8,6,4,3,7,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,1,7,6,5,3,8,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [2,7,6,1,3,5,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [7,2,5,4,6,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,7,6,1,2,5,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [2,4,1,7,6,8,5,3]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>36 [7,5,4,3,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,5,6,2,7,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,5,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,5,4,1,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [1,7,5,3,8,2,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [8,2,5,3,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,4,5,8,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [2,7,4,5,8,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,5,3,1,8,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [6,1,4,7,8,3,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [3,6,4,7,8,1,5,2]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [4,3,6,7,1,8,5,2]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [4,3,6,7,1,8,2,5]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [3,6,4,7,8,1,2,5]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [2,3,6,4,1,7,8,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>32 [4,7,2,1,5,3,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [3,7,4,5,2,1,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [3,6,4,7,2,8,5,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [5,1,3,4,2,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [5,4,2,1,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [6,1,7,3,8,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [1,6,7,3,8,2,5,4]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [6,1,4,7,8,5,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,3,2,1,7,8,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,2,7,3,1,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,2,4,7,8,1,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [2,6,7,3,1,8,5,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [8,6,5,1,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,7,8,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [3,8,4,7,1,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,6,1,2,5,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,6,1,5,3,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,4,1,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,3,6,4,5,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,7,4,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,3,8,7,1,6,4,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [4,3,7,8,1,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,5,8,7,4,1,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [7,3,8,4,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,8,1,2,7,3,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,1,2,7,4,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,6,8,4,1,3,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [8,5,4,7,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,5,8,7,3,6,4,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,4,8,7,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,7,4,8,5,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [6,4,8,7,5,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,8,5,2,4,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,7,1,8,4,6,2,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,3,8,7,2,1,4,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,3,7,8,5,6,1,4]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [3,7,6,8,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,6,7,8,5,1,3,4]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [2,4,7,8,1,6,3,5]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [5,4,7,8,2,6,3,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [2,8,3,4,1,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,3,4,1,2,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,7,1,5,2,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,2,7,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,5,3,1,8,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [3,5,8,6,1,4,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,8,5,6,1,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,6,1,5,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,3,7,6,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,8,5,3,2,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,6,4,8,5,1,7,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [7,6,4,8,5,2,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,4,8,6,5,2,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,7,5,6,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [7,5,3,2,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,5,1,3,8,6,7,4]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [5,4,8,1,3,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,3,5,4,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,4,8,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,1,5,7,2,4,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,4,5,1,2,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,3,1,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,7,6,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,5,7,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,1,4,5,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,4,1,6,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,7,5,2,1,3,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,7,2,3,6,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [8,6,2,3,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,2,4,8,3,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [1,7,2,4,8,6,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,6,1,5,4,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,7,3,2,1,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,8,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,6,1,3,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,6,7,4,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,8,6,4,2,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,3,1,6,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,1,2,5,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,4,2,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,1,2,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,6,8,7,3,1,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,5,3,7,8,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [4,1,3,8,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [6,2,7,4,8,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,4,5,2,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,6,3,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,1,2,4,7,8,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [5,1,3,8,4,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,8,7,3,5,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,8,4,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,6,8,7,4,1,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,6,8,1,7,3,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [7,4,6,8,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,8,4,3,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,5,8,3,6,7,4,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,5,1,3,7,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,3,7,4,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [3,8,2,7,1,5,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,2,3,6,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,3,4,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,5,8,7,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [7,5,1,8,4,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,6,8,5,2,7,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,1,7,8,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [2,1,7,4,3,5,8,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [3,5,7,8,4,6,1,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [7,5,2,8,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,2,3,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,3,8,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,2,7,1,3,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,1,8,2,3,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,4,1,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,3,1,7,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,4,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,8,5,2,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,3,8,7,1,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,7,1,8,5,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [5,3,2,4,7,8,6,1]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [5,3,4,2,8,7,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,4,3,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [3,8,6,5,4,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,7,5,6,3,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,8,5,7,2,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,7,5,8,3,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,8,5,7,1,4,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,2,7,3,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,5,4,3,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,2,4,5,3,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [5,7,2,8,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,1,3,6,4,2,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [5,1,8,7,4,6,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,3,7,5,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,1,3,4,7,5,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,3,2,1,4,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,2,3,1,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,2,1,4,8,7,5,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,8,3,5,7,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,8,3,5,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,2,4,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,3,2,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,1,3,4,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,7,3,5,4,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,5,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,6,4,3,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [8,3,7,1,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,3,6,4,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,2,1,7,5,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,3,8,7,5,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,7,2,1,5,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [9,1,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,6,8,1,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,4,8,7,6,1,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [10,1,9,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,6,1,8,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,7,9,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [6,5,8,1,7,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,7,4,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,8,3,5,6,2,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,5,3,7,4,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,4,8,2,3,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,7,2,5,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,5,4,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,4,1,2,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,7,4,2,1,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,4,3,8,5,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,3,6,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,5,3,4,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,3,7,4,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,4,3,1,5,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [6,8,4,2,3,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,5,2,4,1,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [7,1,3,2,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,1,7,4,8,3,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,2,8,6,1,3,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,8,3,1,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,4,8,2,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,3,7,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,2,4,7,1,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,5,7,4,1,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [7,6,4,5,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,4,1,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,3,1,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,4,1,2,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,8,1,3,5,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,4,1,3,6,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,5,8,1,3,7,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,3,6,1,8,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [4,7,3,1,8,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [8,3,1,7,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,1,4,7,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,1,8,5,4,7,6,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,5,8,3,7,6,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,5,1,8,2,7,6,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,8,5,3,1,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,2,8,1,7,6,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [5,6,2,7,8,1,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [4,6,2,8,7,1,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,8,6,3,7,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,3,7,5,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,8,2,7,5,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,2,8,7,5,1,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,6,2,7,4,1,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [5,6,7,2,3,1,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [5,6,7,2,8,3,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [5,6,7,2,1,8,3,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [5,6,7,2,1,3,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [5,6,1,7,8,2,4,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [5,6,1,7,2,4,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [5,1,6,7,8,3,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [4,1,6,8,7,3,5,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,1,8,6,7,5,4,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,6,8,7,5,3,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [5,1,6,7,4,8,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [5,6,1,7,8,4,2,3]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [4,6,8,1,7,5,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,8,6,1,7,5,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,7,1,8,3,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [5,6,7,1,3,8,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [5,6,7,1,3,2,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [5,6,7,3,1,2,8,4]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [5,6,7,3,8,1,2,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [5,6,8,7,4,2,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,6,7,3,8,2,1,4]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [7,4,6,2,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,1,6,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,3,1,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,2,5,7,3,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,4,5,6,1,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,1,5,8,6,3,2,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,7,5,1,6,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [8,6,5,1,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,1,3,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,8,3,7,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,1,8,2,5,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [6,4,1,8,5,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,4,6,1,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,4,3,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [8,1,6,7,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,7,2,8,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [3,2,8,6,4,7,1,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,8,4,6,3,2,1,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,6,5,3,7,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,5,3,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,5,2,7,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,7,5,3,1,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,5,3,6,8,1,7,2]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [1,5,4,6,7,8,2,3]=>[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>27 [8,4,6,5,7,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,5,2,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,4,2,6,8,7,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [6,5,1,4,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [3,6,4,5,2,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [7,5,4,2,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,1,3,5,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,1,5,6,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,7,8,3,5,6,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [3,1,7,8,5,2,6,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [3,5,7,1,8,4,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [3,5,7,8,1,4,6,2]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [5,3,7,8,4,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,3,7,1,8,4,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,1,3,7,8,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [3,6,2,1,4,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [4,6,2,5,1,3,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [6,4,2,5,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,6,1,7,3,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,5,8,1,7,3,4,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,8,2,7,3,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,3,7,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,6,2,7,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,8,1,7,3,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,2,3,8,1,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,2,8,3,7,1,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,8,4,6,1,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,1,5,8,4,3,6,7]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [5,8,3,2,7,1,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,3,8,2,5,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,5,8,2,7,1,4,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,5,8,2,6,1,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,6,8,3,7,1,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [5,1,8,3,7,2,4,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,4,6,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,4,1,6,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,8,1,6,2,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,4,8,1,6,2,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,8,5,1,6,2,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,4,3,8,1,5,6,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [3,1,8,4,2,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,8,4,2,1,5,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,3,8,4,1,5,6,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [3,8,5,2,7,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,2,6,1,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,1,4,8,5,3,6,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,8,4,1,5,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,8,4,3,1,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,7,4,3,8,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,4,3,8,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [3,8,4,2,6,7,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,4,1,6,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,1,7,5,2,8,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [2,6,7,5,3,8,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [6,7,4,8,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [3,8,4,2,1,6,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,7,4,3,8,2,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,4,8,1,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,5,8,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,4,8,3,1,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [3,4,8,1,2,5,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,1,3,4,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,3,4,8,1,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,4,8,2,1,5,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,7,5,8,2,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,5,8,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [3,4,8,1,5,7,6,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,7,4,8,2,3,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,4,8,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,3,1,4,8,2,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,7,4,8,1,3,2,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,5,8,4,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,4,8,2,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,4,8,1,2,3,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [8,1,3,4,7,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,7,3,4,8,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,7,8,2,3,5,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [5,8,6,2,3,7,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,3,4,7,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,3,4,7,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,2,3,6,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,1,7,5,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,1,6,7,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,1,3,8,4,6,5,7]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [8,2,1,7,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,3,2,8,5,4,6,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [8,3,1,5,7,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,1,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,7,6,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,8,5,7,3,6,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,3,8,6,5,7,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,7,2,8,5,3,4,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,2,7,8,6,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,2,8,6,7,3,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,2,8,7,5,4,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,8,7,5,6,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,1,8,6,7,5,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,1,7,8,6,4,2,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [6,7,1,8,5,4,2,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,8,3,2,6,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,4,8,2,6,1,7,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [7,8,4,1,5,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,2,6,3,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,1,4,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,5,1,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,3,8,4,1,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,4,8,1,5,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,4,8,5,1,6,7,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,5,8,1,4,6,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,3,8,1,4,6,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,2,6,8,1,5,3,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [7,4,2,8,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,1,7,5,8,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,2,1,8,4,5,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [1,2,7,8,5,3,4,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [6,3,7,8,5,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,1,5,7,8,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [1,7,5,6,8,4,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,1,8,4,5,6,7,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,1,4,8,6,5,3,7]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,4,1,8,6,5,3,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [4,2,1,8,6,5,3,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,2,7,8,5,1,4,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,3,7,8,5,1,4,6]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [2,7,3,8,5,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [3,6,2,8,5,1,4,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,1,2,8,7,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [7,3,6,8,5,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,1,8,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,6,5,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,7,1,8,4,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,7,6,1,8,4,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,1,5,8,4,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,3,8,5,4,1,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,1,2,8,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,1,5,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,6,1,8,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [9,10,7,8,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,6,5,7,8,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,6,5,7,8,2,1,3,4]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,6,4,7,3,5,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,6,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,6,3,7,2,1,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,5,4,3,6,7,8,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,5,4,2,6,7,1,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,5,3,2,6,1,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,4,3,2,1,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,7,9,10,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,7,9,10,5,6,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,7,9,10,4,3,5,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,7,9,10,4,2,5,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,7,9,10,3,2,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,1,6,5,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,8,7,5,3,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,4,2,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,4,2,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,4,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,5,3,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,3,7,1,6,4,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [7,4,2,8,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,3,6,1,8,7,4,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [6,1,5,3,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,8,7,5,4,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,3,1,8,7,5,4,6]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [5,3,8,7,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,4,2,1,8,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,6,3,5,7,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,3,5,7,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,3,8,5,2,1,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,6,3,7,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,6,4,7,5,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,1,8,6,3,7,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,3,7,4,1,8,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [8,5,2,6,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,8,7,4,2,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,6,3,7,4,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,3,2,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,3,2,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,8,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,1,8,7,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,3,2,8,7,6,1,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [7,5,8,6,3,2,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,5,8,6,3,2,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [8,6,3,1,7,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,1,8,7,4,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,8,7,5,3,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,8,6,4,1,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,1,8,6,3,2,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,4,2,8,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,3,1,8,5,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,5,2,6,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,8,5,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,5,2,7,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,5,2,7,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,3,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,1,7,4,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [8,6,3,1,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,7,5,8,6,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [7,4,8,5,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,5,2,1,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,5,2,1,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [3,5,7,8,1,4,2,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [4,1,8,5,7,3,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,7,5,8,3,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [2,1,5,8,7,4,3,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [5,1,7,4,8,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [4,7,2,8,3,6,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [3,7,8,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,8,7,2,4,1,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,2,4,1,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,2,8,4,1,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,3,4,8,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,3,4,8,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,3,4,8,1,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,5,8,1,2,7,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [1,8,5,4,2,3,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,5,4,8,1,2,7,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [4,5,3,8,1,2,7,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [6,4,3,8,1,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,3,8,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,3,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,6,3,8,7,1,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [4,6,3,8,1,7,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,6,8,4,1,7,3,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [1,8,7,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,3,8,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,5,8,6,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,7,8,5,6,1,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [1,8,7,5,6,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,6,8,5,7,1,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [5,3,6,8,7,1,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,3,5,8,7,1,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,2,8,5,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,2,8,6,7,1,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,8,3,2,7,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,2,8,7,6,1,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,8,7,5,1,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,4,7,8,1,6,2,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [1,8,5,7,6,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,5,8,7,6,1,3,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [7,4,6,5,8,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,6,7,8,5,1,2,4]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [2,6,8,7,5,1,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [1,8,6,7,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,8,6,5,1,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [5,7,6,4,8,1,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,3,8,7,5,1,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,8,7,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,4,8,7,1,3,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,8,6,1,3,2,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,2,7,6,8,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [2,8,7,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,2,1,8,7,3,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,6,1,8,7,3,2,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [8,7,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,1,4,8,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [3,7,6,8,1,5,2,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [8,1,4,2,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,2,1,8,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [2,8,6,1,7,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,7,5,1,6,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,6,5,8,1,4,7,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [8,1,5,6,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,7,4,1,8,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [1,7,4,6,8,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,5,8,2,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,1,6,5,4,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [7,3,2,6,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,7,2,3,1,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,3,1,8,4,6,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [3,8,1,6,7,4,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,7,4,3,6,8,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,8,4,6,1,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,4,1,6,3,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,3,8,5,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [7,4,1,6,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,8,6,2,7,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,3,1,4,5,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,4,8,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,1,2,4,6,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,6,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,3,8,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,6,2,4,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,5,1,8,6,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,7,3,2,8,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [8,4,5,7,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,8,4,2,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,8,4,6,1,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,4,6,5,2,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [8,3,1,4,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,1,6,8,4,7,2]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [6,1,5,7,3,8,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,8,4,7,3,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,2,6,5,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,3,2,5,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,8,3,7,4,1,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [8,1,5,6,4,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,5,8,1,6,4,7,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [7,4,1,8,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,3,7,4,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,6,8,3,1,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [3,6,5,8,4,1,7,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [7,3,6,1,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,7,3,4,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,2,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,3,1,6,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,1,3,2,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,7,4,2,3,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,5,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,1,5,2,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [8,7,2,5,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,5,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,8,7,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,1,8,6,2,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,6,2,7,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,2,8,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,4,1,7,2,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [7,2,4,3,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,1,7,2,3,8,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [8,2,3,5,1,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,3,1,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,1,8,2,7,5,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,8,1,6,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,6,4,3,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,1,7,4,3,8,2,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,3,1,7,4,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [7,4,8,2,1,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,2,4,1,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,5,1,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,7,3,2,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [4,7,2,1,6,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [6,2,1,5,3,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,1,5,2,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,4,3,8,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,8,1,5,3,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,5,3,2,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,3,2,8,4,1,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,3,4,2,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,6,3,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,1,3,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,1,5,2,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,6,1,3,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,6,1,7,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,7,1,3,8,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [3,6,7,1,5,2,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [7,1,3,8,4,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,6,2,7,1,3,8,4]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [5,6,2,8,1,3,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [6,1,8,3,7,5,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,2,1,5,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,4,1,5,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,2,6,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,2,7,3,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,1,8,3,7,4,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,4,8,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,2,1,7,4,8,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [6,1,8,4,5,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,6,4,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,5,7,2,8,6,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [4,5,7,2,8,1,3,6]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [4,6,7,2,1,5,8,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [4,6,7,1,3,8,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [3,6,1,5,7,8,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [4,6,7,1,5,8,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [6,1,3,7,4,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [3,7,2,1,5,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [6,2,7,1,4,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [3,7,4,2,1,8,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [7,2,5,3,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,1,4,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,4,1,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,2,8,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,3,2,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,2,4,8,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,6,4,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,7,5,3,8,1,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [1,8,5,3,6,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,2,3,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,2,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,7,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,1,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,5,7,4,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,7,1,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,5,6,1,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,2,6,8,4,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,4,8,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,8,1,4,2,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,4,1,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,4,8,3,2,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,5,8,1,4,3,7,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,6,8,2,1,5,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,7,4,8,1,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,7,1,4,8,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [2,7,4,1,8,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [3,5,1,8,4,2,7,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [4,2,5,8,3,1,7,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [6,1,2,7,8,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,3,1,8,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [3,1,8,4,7,5,2,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,2,8,7,3,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,1,7,6,2,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,1,4,7,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,3,8,1,6,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,7,8,1,5,3,2,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [7,1,8,6,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,7,1,3,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,2,1,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,7,1,6,3,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,7,6,1,5,4,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [4,8,7,6,1,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,2,6,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,1,7,5,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,3,8,6,5,1,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,8,4,3,1,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,8,6,4,3,2,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,3,6,4,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,2,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,1,3,5,4,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,1,2,5,4,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [3,4,7,5,8,6,1,2]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [2,3,6,7,4,8,1,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>96 [1,3,6,7,4,8,5,2]=>[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>48 [2,7,6,5,3,1,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [4,7,6,5,2,1,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,7,4,2,1,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,3,1,5,4,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,7,4,1,2,3,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,4,1,2,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [4,7,6,3,8,5,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,7,6,5,2,8,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,6,5,1,2,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [4,7,2,6,1,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [2,7,1,6,8,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,6,5,8,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [9,1,2,3,4,5,6,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,4,5,6,7,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,4,5,7,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,3,4,5,6,9,7,8,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>64 [2,3,4,5,6,7,8,10,9,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>192 [9,2,1,8,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,11,10,9,8,7,6,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [3,9,2,8,7,6,5,4,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [5,2,8,7,6,4,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,2,7,6,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,2,8,1,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,4,1,7,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,3,1,8,7,6,5,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,9,8,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,1,10,9,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [6,5,7,3,8,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,8,7,2,4,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,1,5,2,4,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,3,4,6,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,4,7,5,8,1,6]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>48 [6,3,4,7,8,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,3,7,4,8,6,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [8,3,6,4,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,8,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [5,4,3,1,7,8,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [5,7,6,2,8,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,1,7,5,8,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,5,6,4,1,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,1,3,7,6,5,8,2]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [8,5,7,4,3,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,1,7,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,2,4,1,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,6,2,1,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,1,7,4,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,3,1,6,7,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,3,1,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,4,1,2,7,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,4,7,2,3,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,3,2,1,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,3,7,4,1,8,5,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [6,4,1,3,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [2,7,8,5,1,3,6,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [8,2,5,6,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,5,4,7,6,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,7,1,5,8,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [4,8,7,6,2,3,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,1,5,3,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,5,7,3,8,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,1,4,7,2,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,4,6,1,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,4,5,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,6,8,3,1,5,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,7,6,2,4,5,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [4,2,3,8,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [6,4,1,2,8,3,5,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [1,2,3,7,4,6,8,5]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [3,2,7,1,4,5,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,8,3,2,4,1,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,7,1,8,3,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,1,8,2,7,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,2,3,7,8,4,6,5]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,2,3,7,8,6,4,5]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [6,2,8,3,7,5,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,2,8,3,7,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,3,4,8,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,3,4,8,7,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,5,8,7,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,6,3,8,5,7,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [7,5,3,8,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,6,8,3,7,4,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [1,8,4,3,7,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,5,8,3,7,4,6,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [7,4,3,8,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,5,4,8,7,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [4,5,3,8,6,7,2,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,6,7,8,4,5,2,1]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [2,6,8,5,4,7,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [1,8,5,6,4,7,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,5,8,6,4,7,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [7,4,6,5,8,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,7,8,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [4,3,7,8,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [5,2,8,6,4,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,2,8,6,5,7,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,2,8,6,7,4,5,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,3,8,7,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [1,8,2,7,4,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,8,6,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,8,4,5,7,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,2,8,4,6,7,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,2,8,5,6,7,3,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,6,8,5,7,2,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,4,6,8,7,2,5,1]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [7,3,5,8,6,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,8,3,5,7,4,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,8,4,5,6,3,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [3,7,5,8,4,6,2,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [5,7,4,6,8,3,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [3,6,5,8,4,7,2,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,6,8,4,5,7,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [4,2,7,1,3,8,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,2,5,1,3,8,6,7]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>3 [3,7,1,2,5,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,4,1,2,8,5,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [7,5,1,3,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,1,2,4,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,2,3,7,1,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,6,3,8,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,2,3,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,7,5,2,8,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [8,2,6,3,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,2,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,1,2,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,3,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,7,1,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,5,6,1,2,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,5,8,1,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [7,6,4,8,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,8,1,2,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,6,8,1,2,5,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,7,2,4,8,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,6,3,8,1,2,5,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,1,7,8,2,3,6,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [5,1,2,8,6,3,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,3,8,1,6,2,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,1,8,5,2,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,7,5,2,3,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,8,1,3,7,4,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,2,8,1,6,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,7,8,2,5,1,3,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [6,8,2,7,1,4,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,7,1,3,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,7,1,2,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,1,2,4,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,1,3,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,8,6,2,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,6,4,1,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,2,6,5,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,1,3,4,7,2,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,8,2,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,1,2,7,5,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [1,2,8,7,5,4,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,1,7,3,6,4,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,2,1,5,7,4,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,2,3,7,4,1,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [3,4,8,7,5,6,1,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,3,8,7,4,1,5,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,7,3,8,6,4,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [1,8,3,7,6,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,2,7,1,4,6,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,7,5,2,1,8,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [6,3,1,4,5,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,3,1,4,6,2,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [5,1,2,4,7,6,8,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [5,7,4,1,2,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [4,8,1,2,6,7,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,7,8,2,6,3,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [1,2,8,7,6,5,3,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,1,8,4,5,7,6,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,8,5,4,7,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,2,8,1,5,3,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,5,7,6,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,2,1,6,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,6,5,2,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,5,6,1,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,5,7,8,1,2,6,4]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [3,7,8,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,2,8,4,1,6,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,8,1,7,4,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,5,1,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,6,7,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,1,3,4,6,7,2,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>4 [8,2,4,1,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,4,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,8,4,3,7,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,1,7,4,3,8,2,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [1,8,7,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,3,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,8,2,3,1,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,2,1,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,7,4,1,8,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [1,7,8,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [4,7,1,3,8,2,6,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [8,7,1,3,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,4,5,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,4,6,5,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,4,3,7,5,8,1,6]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>36 [1,4,7,3,6,2,8,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [1,8,3,4,2,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,4,1,3,7,2,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [8,1,4,3,6,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,3,8,5,7,1,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [2,8,5,7,3,4,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,8,2,6,4,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,2,5,8,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,2,3,5,8,7,1,6]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [8,2,3,5,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,8,3,4,2,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,8,6,4,2,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,4,5,6,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,5,4,2,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,3,1,4,2,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,3,8,1,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,4,5,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,8,4,2,6,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,1,4,8,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,3,1,8,4,7,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,8,1,5,7,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,3,1,2,5,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [7,1,4,2,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,8,4,1,6,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,5,3,6,4,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,6,4,5,8,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,7,2,4,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,4,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,7,5,4,8,6,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,1,8,7,5,3,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,8,3,7,4,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,7,4,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,3,1,8,4,7,2]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,7,1,4,8,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [3,5,7,4,8,6,2,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [2,6,7,4,5,8,3,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [6,1,7,4,5,8,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,3,7,4,8,6,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [8,5,3,6,1,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,3,6,8,2,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [6,5,3,7,4,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [7,5,8,4,1,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,8,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [5,7,3,8,4,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,6,3,8,1,4,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [8,4,1,2,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,8,4,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [6,8,3,1,2,5,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,5,1,7,2,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,4,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,3,1,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,1,8,2,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,7,3,1,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,2,1,5,4,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [5,4,2,6,1,3,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [2,5,8,1,7,4,3,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,8,2,7,4,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,3,7,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,2,5,4,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,2,7,3,1,8,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,2,3,7,1,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,2,7,3,8,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [2,1,5,8,4,3,7,6]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [5,8,4,2,6,7,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,2,4,8,1,5,7,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,4,8,3,1,7,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,8,3,2,1,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,3,7,2,6,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [3,4,8,2,1,6,5,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,8,3,7,2,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,5,8,1,7,2,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,1,7,4,6,8,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [7,6,4,8,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,3,7,1,8,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [2,7,6,3,8,1,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,1,7,6,4,8,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [5,4,8,7,2,6,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,4,3,8,7,1,5,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [3,8,5,4,2,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,6,5,2,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,2,8,7,5,4,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,8,6,5,4,3,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,4,2,6,3,1,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [6,5,2,1,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [8,5,2,7,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,6,5,2,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,2,3,4,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,7,5,3,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,3,8,4,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,2,3,5,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [3,7,6,4,2,8,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [2,1,7,6,4,8,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [2,1,8,7,4,3,5,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,8,3,7,2,1,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,4,2,1,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,2,3,5,1,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,6,3,1,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,6,3,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,1,4,8,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,1,7,5,4,8,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,3,7,5,8,4,2,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,6,1,5,8,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,6,7,5,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,6,1,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,2,6,8,3,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [6,5,2,8,1,4,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,2,8,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,7,8,4,5,1,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [5,7,3,8,4,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [2,4,8,1,5,6,3,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,1,5,2,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,6,8,4,1,2,7,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,8,1,2,5,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,2,4,3,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,4,6,5,7,8,9,10,1]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>192 [9,1,2,4,5,3,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,5,4,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,8,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,9,6,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [5,8,4,7,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,9,8,5,7,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [6,8,5,4,7,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,9,8,7,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [3,8,7,6,2,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,9,8,7,6,3,5,2,1]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>56 [4,8,7,6,3,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,9,8,7,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [3,8,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,6,9,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,6,9,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,6,9,4,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,6,9,4,7,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,6,9,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,7,9,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,10,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [8,6,4,9,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [9,7,10,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [8,6,9,4,2,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,10,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [8,6,9,4,7,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [7,5,8,4,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,6,9,4,7,3,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,10,5,8,3,6,2,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [8,6,9,5,7,2,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,10,5,8,4,6,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [7,6,8,2,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,9,4,6,3,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,10,6,8,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,6,8,5,7,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,10,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [5,3,7,6,2,4,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,3,7,6,1,2,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,3,7,6,1,4,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,3,7,6,4,1,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,3,7,6,4,1,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [3,7,5,4,1,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,5,4,1,8,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,5,1,4,8,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,5,1,4,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [5,3,7,1,6,2,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,7,6,3,1,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,6,3,1,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,5,2,1,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,2,5,1,8,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,2,5,1,8,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,5,2,1,8,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [2,1,7,5,8,4,6,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,3,4,5,6,7,9,2,8]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>48 [2,3,4,5,6,7,1,9,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>32 [2,1,4,5,6,7,8,9,3]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>32 [3,1,4,5,6,7,8,2,9]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>32 [5,8,3,4,1,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,6,4,1,7,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,3,5,6,8,1,7,2]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [3,7,6,4,1,8,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,4,1,8,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,8,4,1,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,2,8,7,6,1,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,7,8,2,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,2,5,8,1,6,7,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,2,5,8,1,7,3,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [5,8,2,4,1,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,2,6,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,5,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,8,6,7,1,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,7,3,2,5,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,8,1,5,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,4,2,7,5,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,2,8,5,1,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,4,1,8,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,2,8,5,7,1,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,1,4,6,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,4,1,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,4,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,7,6,8,2,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [4,1,8,2,3,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,1,8,5,3,4,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,2,4,6,8,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [1,6,8,3,4,5,7,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,4,8,6,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,4,2,6,7,8,1,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [6,4,2,7,3,5,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,4,1,8,3,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,4,8,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,7,4,2,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,3,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,2,3,1,7,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,4,3,2,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,4,3,8,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [8,3,7,2,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,2,4,3,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [8,4,7,3,2,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,6,7,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,3,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,3,5,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,8,5,6,7,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,8,5,1,4,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [3,5,1,6,8,7,2,4]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [5,7,6,2,1,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [2,5,8,7,4,1,6,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [7,6,2,4,5,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,4,2,5,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,7,4,2,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,5,2,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,4,8,6,7,1,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,5,6,2,1,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,1,5,6,7,8,3]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>16 [3,4,6,5,1,7,8,2]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>72 [7,3,5,2,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,3,7,2,4,6,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [3,7,5,2,4,6,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,3,2,4,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,3,2,1,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,3,2,4,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,2,5,4,1,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [7,1,3,2,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,7,3,2,5,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [7,1,3,5,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,1,3,7,2,4,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [3,7,5,1,2,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,3,1,2,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,3,2,7,4,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [7,3,1,2,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,1,5,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,1,3,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,7,1,3,2,4,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,1,5,2,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,1,2,5,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,2,1,5,4,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,2,1,7,5,4,6,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [3,1,2,7,5,4,6,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [7,1,5,3,2,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,7,5,3,2,4,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,9,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,9,8,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [1,9,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,9,2,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,9,8,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [1,10,9,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [4,9,8,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>56 [1,10,9,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,8,7,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,9,8,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [2,10,9,8,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [2,8,5,1,7,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,9,8,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [1,10,9,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,8,5,1,2,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,9,1,2,8,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [1,10,9,2,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,2,9,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [2,10,1,9,8,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [3,10,9,8,7,6,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>36 [1,11,10,9,8,7,6,5,2,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [1,9,8,7,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,10,9,8,7,6,1,2,5,3]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [1,11,10,9,8,7,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [1,9,8,7,4,2,6,5,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,9,8,7,6,3,2,1,5]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>56 [5,10,9,8,7,1,2,6,4,3]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [2,11,10,9,8,7,1,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [2,8,1,4,7,6,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,9,8,5,1,7,6,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [5,9,8,7,4,1,2,6,3]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [6,10,9,8,2,1,7,5,4,3]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [1,11,10,9,8,2,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [1,9,6,2,8,7,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,4,3,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,9,8,5,1,2,7,4,3]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [7,10,9,1,2,8,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [1,11,10,9,2,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [1,8,5,4,2,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,9,6,2,1,8,5,4,3]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [8,10,1,2,9,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [2,11,10,1,9,8,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [8,7,1,2,9,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [9,2,1,10,8,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [1,11,2,10,9,8,7,6,5,4,3]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,5,3,4,2,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,5,3,6,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,2,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,6,4,8,2,7,1]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [1,7,5,4,8,2,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,7,5,1,6,4,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [2,7,5,4,8,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,5,4,8,6,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [1,7,5,4,8,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [2,5,1,4,8,7,3,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [3,6,4,2,8,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [3,5,6,4,8,1,2,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [3,6,4,1,8,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [3,6,4,5,8,7,2,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [7,1,3,4,5,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,1,4,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,1,3,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,3,2,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,5,8,2,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,5,8,3,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,3,1,5,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,5,6,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,6,5,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,6,5,3,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,3,1,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,3,5,4,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,5,6,1,4,7,8,2]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>96 [7,6,1,3,4,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,3,2,4,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,1,5,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,1,5,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,5,8,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,4,6,8,7,2,1,5]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [3,5,6,8,2,1,7,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [3,5,6,8,1,7,2,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [2,5,4,7,3,8,6,1]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [3,5,7,1,8,4,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [5,1,3,2,4,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,1,3,4,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,3,1,4,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [3,6,2,7,1,5,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [3,5,7,1,8,2,6,4]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [5,1,4,2,3,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [3,6,1,7,2,5,8,4]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [2,6,5,3,4,7,8,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [5,1,4,3,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,4,1,3,2,6,7,8]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>1 [6,4,2,5,3,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [4,6,2,3,5,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [6,2,4,5,1,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,2,6,7,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,7,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,4,1,5,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [2,8,1,6,7,4,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,4,5,7,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,6,1,4,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,1,6,4,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,4,5,2,8,3,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,2,3,6,1,8,5,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [4,2,3,8,6,1,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [6,4,5,8,2,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,7,2,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,5,2,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,2,8,3,1,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,4,8,1,3,6,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,4,1,8,3,6,7,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,1,4,8,6,3,7,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [6,4,8,2,5,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,6,2,4,7,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,8,2,3,5,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,6,8,4,1,5,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,6,8,1,4,5,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,1,6,8,4,5,7,3]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [2,8,1,4,6,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,6,2,3,7,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,2,6,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,5,1,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,2,3,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,6,7,5,8,2,3,4]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [6,2,5,8,3,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,3,8,7,4,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,5,3,7,1,8,4,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [5,2,8,3,1,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,8,2,3,6,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,3,6,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,4,3,6,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,1,3,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,5,3,8,1,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,4,7,6,8,1,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [1,8,2,3,6,5,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,2,8,3,5,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,6,5,7,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,2,3,8,4,1,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [7,5,3,4,8,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,8,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,3,8,5,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,3,8,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,8,5,1,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,6,3,7,8,2,4,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [4,2,6,5,7,8,3,1]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [4,2,6,7,5,8,1,3]=>[1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>72 [5,1,8,3,6,4,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,6,8,5,7,2,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,1,3,8,7,6,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [3,8,5,6,1,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,4,8,1,7,6,2,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,7,6,8,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [6,7,4,8,5,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,3,6,8,7,1,4,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [1,8,4,6,7,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,2,8,3,7,1,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,4,5,8,6,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,3,6,8,7,1,5,2]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [6,4,8,3,1,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,6,5,8,7,1,4,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,7,4,8,2,6,3,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,6,4,8,2,7,3,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,6,8,3,1,7,4,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [4,6,3,8,2,7,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,3,8,1,7,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,8,1,3,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,3,8,2,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,8,1,3,7,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,8,3,4,7,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,6,3,1,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,8,4,2,5,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,2,7,8,5,3,1,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [4,2,8,7,6,3,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,3,1,7,5,2,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,3,1,8,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,3,1,7,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,3,1,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,4,2,1,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,8,2,7,6,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,3,5,7,6,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,5,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,4,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,7,5,2,4,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,4,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,2,8,6,3,7,4,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,4,7,5,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,4,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,7,5,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,1,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,2,6,3,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,2,7,4,1,8,6,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,2,8,7,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,5,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,3,1,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,2,8,6,3,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,7,5,2,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,1,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,7,5,2,1,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,1,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,4,7,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,7,5,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,7,5,2,1,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,3,1,4,7,5,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,3,1,4,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,6,3,1,4,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,5,7,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,6,4,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,2,1,6,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,3,8,7,4,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,7,4,1,5,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,4,1,6,3,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,1,8,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,4,6,3,1,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,7,5,2,1,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [1,6,4,7,5,3,8,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [8,6,3,5,2,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,5,2,8,7,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,3,5,2,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [4,5,7,2,6,3,1,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>40 [3,5,8,4,6,1,7,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,7,4,2,6,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [8,3,4,7,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,5,7,8,1,6,3]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>72 [8,3,4,6,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,3,7,4,2,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,1,3,8,2,5,4,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,8,2,3,1,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,2,6,1,5,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,7,1,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,3,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,4,2,8,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,3,7,2,8,1,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,5,2,8,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,7,3,8,1,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [1,6,8,5,2,4,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [4,5,7,2,8,1,6,3]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [4,5,6,8,3,1,7,2]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [8,4,6,5,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,4,8,3,1,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [4,8,1,6,2,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,3,1,2,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,2,7,1,3,6,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [7,8,1,2,4,3,6,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,4,1,6,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,3,1,2,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,3,6,5,7,8,2]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>12 [6,1,3,4,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,1,4,2,5,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,3,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,4,1,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [2,6,5,3,1,7,8,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [8,3,2,1,5,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,6,3,1,8,4,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,8,4,6,3,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,1,3,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,5,7,4,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,6,5,7,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,6,2,7,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,5,3,8,2,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,1,5,3,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,1,5,4,7,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,5,8,7,4,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,7,2,8,5,6,3,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [8,1,7,6,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,5,7,4,1,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,6,8,5,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [5,7,2,8,6,4,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,8,7,5,6,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,7,6,4,5,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,7,6,5,3,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,6,7,4,8,1,5,2]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,8,5,7,6,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,4,7,8,1,6,5,3]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [4,2,6,8,7,1,5,3]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,1,7,8,2,6,5,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [6,1,3,8,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,1,8,4,2,7,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,2,6,1,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,3,7,1,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,7,3,8,1,6,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [1,7,3,8,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [2,6,8,4,1,7,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [4,5,8,6,3,1,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,6,7,1,2,8,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [3,6,1,8,2,7,5,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,7,4,1,2,8,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,3,7,1,2,8,5,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,2,1,8,3,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,1,5,6,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,3,5,2,4,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [8,5,3,7,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,2,4,8,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,8,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [2,6,8,7,4,3,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [1,2,6,7,8,4,3,5]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [2,7,5,8,4,1,3,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,1,7,8,4,5,3,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [3,7,8,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [8,5,1,4,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,5,3,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,6,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,8,6,7,4,1,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,6,8,4,7,1,5,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,1,3,6,8,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,7,6,4,8,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,7,5,4,2,1,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [3,6,4,8,2,7,5,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [1,4,6,3,2,7,8,5]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>24 [8,7,1,5,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,7,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [8,7,2,4,6,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [8,7,2,5,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,5,3,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,2,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,7,3,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,2,8,5,6,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [2,7,1,8,4,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [3,7,8,2,1,6,5,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [8,7,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,2,3,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,2,3,6,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,5,8,4,7,2,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [1,8,5,4,6,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,5,4,6,1,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,5,1,6,4,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,5,4,6,1,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,5,4,6,3,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,5,4,6,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,5,8,4,7,3,6,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,6,4,2,7,8,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [4,5,8,1,7,6,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,8,4,7,1,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [1,5,8,4,7,3,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [3,6,4,1,7,8,5,2]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [3,6,4,8,7,5,2,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [1,6,4,3,7,8,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [7,1,3,4,8,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,1,3,8,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,6,4,2,7,8,3,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [2,6,4,1,7,8,3,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [7,2,3,4,8,6,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,3,1,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,3,4,1,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,8,6,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,6,3,4,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,3,1,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,3,8,1,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,3,8,5,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,6,4,8,7,1,5,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [1,5,8,4,7,6,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [3,5,8,1,6,7,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [7,6,1,3,5,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,3,2,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,3,8,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,1,8,5,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,1,6,5,8,2,7,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [5,2,6,4,8,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,1,6,4,8,3,7,2]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,1,6,4,8,2,7,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,2,6,4,8,1,7,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [4,3,7,5,8,1,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,3,7,5,8,2,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,3,7,4,8,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,3,7,4,8,1,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,4,8,1,6,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,2,6,3,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,1,6,3,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,7,8,6,3,2,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [4,7,2,8,3,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [6,8,3,2,1,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,2,4,1,6,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,8,4,3,1,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,2,4,1,3,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,4,7,6,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,1,2,7,5,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [4,2,7,3,8,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,5,2,6,8,3,7,1]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [4,8,3,2,5,7,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,5,3,4,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,1,5,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,5,1,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,4,2,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,2,4,3,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,2,1,3,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,3,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,3,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,4,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,4,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,2,5,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,4,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,4,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [10,2,1,4,3,6,5,8,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,4,3,6,5,7,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,4,3,5,7,8,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,4,3,5,7,6,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,4,3,5,6,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,3,5,6,4,8,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,3,5,6,4,7,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,3,5,4,7,8,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,3,5,4,7,6,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,3,5,4,6,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,3,4,6,7,8,5,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,3,4,6,7,5,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,3,4,6,5,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,3,4,5,7,8,9,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,4,2,6,5,8,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,4,2,6,5,7,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,4,2,5,7,8,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,4,2,5,7,6,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,4,2,5,6,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,2,5,6,4,8,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,2,5,6,4,7,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,2,5,4,7,8,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,2,5,4,7,6,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,2,5,4,6,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,2,4,6,7,8,5,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,2,4,6,7,5,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,2,4,6,5,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,3,2,4,5,7,8,9,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,4,5,6,3,8,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,4,5,6,3,7,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,4,5,3,7,8,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,4,5,3,7,6,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,4,5,3,6,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,4,3,6,7,8,5,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,4,3,6,7,5,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,4,3,6,5,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,4,3,5,7,8,9,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,5,6,7,8,4,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,5,6,7,4,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,5,6,4,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,5,4,7,8,9,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,4,6,7,8,9,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,5,3,8,4,2,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,5,1,6,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,7,3,5,6,2,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [6,7,8,4,1,3,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,3,6,1,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,6,7,8,1,5,3]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [7,4,3,8,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,8,4,2,3,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,5,3,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,4,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,4,2,3,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,4,8,3,2,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,8,3,7,2,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,7,3,8,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,7,4,3,2,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [8,4,3,7,2,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,2,8,3,6,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,6,3,4,8,7,2,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [6,5,3,4,8,7,2,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,1,2,8,3,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,1,2,7,3,6,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [7,5,3,8,4,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,5,3,7,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,1,2,3,4,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,2,8,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,1,8,2,3,5,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,7,2,3,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [1,6,8,2,4,5,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [4,3,8,7,5,6,2,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,8,2,7,4,6,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,2,3,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,6,2,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,3,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,7,4,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,3,4,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,7,2,4,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,1,2,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,2,3,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,2,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,6,2,4,5,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,7,4,6,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,3,7,5,1,4,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [4,2,5,8,7,3,6,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [1,8,3,5,7,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,3,4,6,8,5,7,1]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>72 [8,2,4,5,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,7,1,8,4,5,3]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [5,8,3,1,4,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,4,2,6,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,4,1,8,5,6,3,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [1,6,2,7,8,5,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [3,5,2,6,7,8,4,1]=>[1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>162 [2,8,4,1,7,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,5,3,1,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,7,1,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,2,6,8,1,7,4,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [5,7,3,2,6,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [8,4,7,3,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,1,2,3,5,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [3,1,4,8,5,6,2,7]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [8,3,1,4,5,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,7,8,9,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>125 [1,7,8,9,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [1,7,8,9,10,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>216 [1,6,7,8,9,10,2,3,4,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>625 [8,6,2,3,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,5,7,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,3,8,7,5,4,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [8,2,3,7,5,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,3,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,5,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,4,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,6,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,1,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,6,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,5,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,5,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,4,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,3,8,7,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,6,1,8,7,5,4,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,8,1,5,7,6,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,5,2,8,7,6,4,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,4,8,2,7,6,5,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,7,1,6,5,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [8,1,3,5,7,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,8,5,7,6,3,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,2,7,1,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,3,4,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,2,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,2,4,7,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,3,7,4,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,3,7,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,6,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,2,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,7,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,8,5,7,6,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [8,2,4,3,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,3,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,4,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,3,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,5,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,1,8,7,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,8,2,7,5,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,1,7,3,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,2,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,1,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,3,7,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,2,1,7,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,8,7,2,6,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,1,3,7,6,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,2,5,4,1,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,4,8,7,6,3,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,1,4,3,7,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,3,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,8,1,7,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,8,6,3,2,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,6,3,2,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,5,7,2,4,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,7,1,3,2,8,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,8,1,3,2,7,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,1,3,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,3,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,8,2,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,1,2,5,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,1,2,3,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,1,6,4,2,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,2,3,5,6,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,5,8,2,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,1,2,6,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,8,1,5,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,5,4,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,5,4,2,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,2,8,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,7,6,5,2,3,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,7,6,5,1,3,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,4,6,8,7,2,1,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,7,4,2,1,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,3,2,1,8,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,5,8,1,7,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,3,4,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,1,2,8,5,3,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,7,4,1,6,5,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,5,8,2,6,1,7,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,7,6,1,5,2,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [1,7,6,5,8,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,7,6,5,8,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,7,6,2,8,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,3,6,8,5,1,2,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [2,7,1,5,8,4,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,6,1,8,4,3,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [7,1,2,6,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,6,3,4,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,7,8,4,2,5,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,1,2,5,7,8,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [4,1,2,7,8,5,3,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [4,7,3,1,2,6,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [3,7,6,1,5,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,8,5,6,4,2,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,2,7,5,8,3,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,2,7,1,3,8,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [5,2,1,4,7,8,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [5,6,2,7,3,4,8,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [6,1,3,8,5,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,7,6,8,5,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,7,6,8,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [1,5,8,6,4,2,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [2,5,8,6,4,1,7,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,7,2,3,1,6,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [6,7,3,1,5,4,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,4,6,2,8,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,5,1,4,8,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,4,3,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,3,8,2,6,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,2,5,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,1,8,6,4,7,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,8,5,6,3,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,7,2,3,1,5,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,5,2,3,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,2,3,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,1,7,5,2,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,1,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,3,6,1,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,2,7,8,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [9,2,3,4,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,5,6,7,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [7,2,3,4,5,6,1,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>1 [6,2,3,4,5,1,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,2,3,4,1,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [4,2,3,1,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,2,4,3,5,6,7,8,9]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,2,4,5,3,6,7,8,9]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,1,7,5,8,6,3,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [4,7,3,8,6,5,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [3,8,7,4,6,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,3,8,4,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,3,6,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,5,8,7,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,8,6,7,5,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,2,7,6,5,8,3,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,6,7,8,5,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,5,3,8,2,7,6,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,8,5,4,1,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,4,7,2,5,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,3,8,7,5,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,3,6,4,1,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [6,8,4,3,5,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,4,8,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,8,2,4,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,8,3,1,6,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,4,8,2,6,5,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,6,2,4,8,7,1,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,7,3,2,6,8,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [7,3,4,6,8,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,6,7,2,5,8,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [6,1,5,8,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,6,8,1,3,4,7,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [2,8,5,6,3,4,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,1,3,5,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,1,6,3,5,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,5,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,2,4,8,1,7,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,1,7,8,5,4,6,2]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [2,7,1,8,4,3,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [6,7,1,8,3,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [2,7,6,3,5,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,5,6,8,1,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [6,7,2,8,1,3,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [5,1,6,8,7,2,3,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [7,4,6,8,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,8,6,7,5,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,7,5,8,6,3,1,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [1,6,8,3,2,5,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [7,8,5,1,3,2,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,6,8,1,5,4,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,3,7,6,5,1,8,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [6,1,5,8,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,1,5,4,8,3,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,1,7,5,3,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [2,7,6,4,8,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [7,2,5,4,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,3,8,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,2,5,8,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,3,8,4,1,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,4,8,3,7,1,5,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,2,8,4,1,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,6,5,2,1,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,5,1,8,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [5,7,1,3,2,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [8,1,7,4,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,8,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [5,1,6,8,3,7,4,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [8,6,5,1,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,1,3,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,3,7,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,7,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,8,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,8,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [6,8,4,7,3,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,6,5,1,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,5,1,2,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,4,6,7,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,2,6,1,8,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,2,6,1,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,8,2,6,1,4,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,5,6,1,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,7,2,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,4,6,5,1,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,8,2,1,3,5,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,6,7,3,4,8,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [4,1,8,7,5,6,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,5,8,7,4,3,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,1,3,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,1,7,4,6,8,3,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [8,6,4,2,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,1,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,8,6,2,7,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,8,6,2,3,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [2,1,8,3,5,7,6,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,5,8,1,7,6,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,8,1,3,6,7,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,2,4,8,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,3,4,6,1,7,8,9,10,5]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>192 [8,2,1,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [3,2,4,5,6,7,8,1,9]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>32 [9,2,1,3,4,5,6,7,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,3,1,2,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,2,3,1,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [6,4,3,2,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,4,3,8,1,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,8,4,3,1,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,10,7,9,4,6,8,1,3,5]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [10,5,2,4,7,9,6,8,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,2,8,5,7,4,6,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,2,6,5,9,4,8,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,10,5,9,8,7,2,4,1,3]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [4,10,3,9,2,6,8,1,5,7]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [10,9,3,5,8,2,4,7,6,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,3,6,2,5,4,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,10,4,9,3,8,2,7,6,1]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [10,9,4,8,3,7,6,5,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,10,4,9,8,7,6,3,2,1]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [2,12,9,11,4,6,8,10,1,3,5,7]=>[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>11 [2,12,5,11,8,10,7,9,4,6,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>11 [2,12,7,11,6,10,5,9,4,8,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>11 [2,12,6,9,5,8,7,11,4,10,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>11 [4,2,8,1,5,7,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,3,7,2,5,4,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,4,7,3,2,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,7,2,6,3,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [3,7,5,4,6,2,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [6,8,3,2,1,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,1,7,5,3,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,3,7,2,8,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [3,6,5,7,2,8,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [4,6,5,3,8,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,6,5,8,7,3,1,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,3,8,4,1,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,8,1,6,4,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,2,8,7,6,4,1,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,2,6,4,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,2,8,6,3,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [2,8,7,5,3,1,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,4,7,8,5,3,1,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [6,5,3,2,4,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,5,8,7,3,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,3,1,6,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,3,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,1,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,6,4,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,3,7,8,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,1,2,7,5,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [2,7,3,1,4,6,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,3,1,6,5,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,5,6,7,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,5,1,2,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,5,8,1,4,6,7,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,1,8,7,5,4,6,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [7,8,3,4,1,6,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,3,4,2,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,2,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,2,8,6,3,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,5,2,3,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [6,4,7,5,2,8,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [7,5,1,3,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,2,3,7,8,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [7,2,6,3,1,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,6,3,8,7,5,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,8,4,1,5,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,4,2,5,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,5,4,1,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,5,8,3,7,1,6,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [1,8,5,2,4,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,8,2,4,1,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,4,5,1,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,5,8,2,7,6,1,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,1,6,8,7,5,3,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [1,8,2,4,5,7,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,3,5,7,6,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,3,8,1,5,7,6,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,6,1,8,7,5,3,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,6,3,8,7,5,1,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [3,2,8,1,5,7,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,8,2,5,7,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,8,1,4,5,7,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,8,2,1,4,6,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,3,6,8,7,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [3,8,4,5,1,6,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,1,4,5,7,2,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [8,1,4,7,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,6,4,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,8,6,2,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,3,6,1,5,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,3,1,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,4,5,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,5,8,4,6,2,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,6,8,1,4,2,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,7,4,8,1,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [8,2,1,5,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,8,1,2,6,3,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [8,7,1,5,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,1,6,2,4,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [5,1,2,7,6,8,3,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [6,1,7,2,5,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [1,7,6,5,8,2,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,6,8,5,7,2,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [7,5,1,2,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,1,5,2,7,8,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [8,3,1,4,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,2,7,8,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [5,1,2,6,8,7,3,4]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [1,8,6,2,5,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,8,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [8,1,5,7,6,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,8,5,2,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,7,1,2,8,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [8,3,1,2,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,7,6,2,3,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [7,8,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,9,3,4,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,2,3,4,5,6,7,8,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [1,9,8,4,5,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,3,4,5,6,7,8,9,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,10,9,4,5,6,7,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,8,6,3,1,5,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,3,4,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,7,4,8,2,5,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [3,8,6,1,4,2,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,1,8,2,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,8,4,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,2,8,1,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,4,7,3,2,5,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,6,5,3,8,4,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,5,7,8,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [3,7,4,1,6,8,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [6,3,2,8,4,5,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,8,3,5,4,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,8,5,2,4,6,1,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,5,3,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,4,5,2,6,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,1,8,6,5,3,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,7,8,4,6,3,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,3,2,8,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,8,1,2,7,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,7,3,6,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,2,3,4,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,5,4,2,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,3,7,2,1,8,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,7,8,1,4,6,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [2,5,8,7,4,1,3,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,2,4,7,1,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,3,5,1,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,4,7,1,3,2,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,1,4,7,5,3,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [8,7,4,3,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,8,4,7,3,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,7,3,6,1,2,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,7,6,2,3,1,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [7,6,8,2,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,6,8,7,5,3,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [6,4,1,7,5,2,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [5,7,8,2,3,6,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,8,7,1,2,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,7,4,1,5,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,6,2,1,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,7,5,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,1,3,7,5,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [4,7,3,1,8,5,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,1,4,5,8,3,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,1,8,5,3,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,1,5,6,8,3,7,2]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [6,4,1,8,7,2,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,5,7,2,6,8,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [8,1,2,3,4,5,6,7,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [2,8,3,7,6,1,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,4,6,8,5,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,3,6,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,2,6,7,8,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,6,8,1,2,7,3]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [3,5,8,6,1,2,7,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,2,6,8,7,1,3,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,5,3,8,1,7,2,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,5,8,4,1,7,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [1,6,5,7,8,2,3,4]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,6,4,8,2,3,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [6,5,4,8,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,6,4,8,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,6,5,8,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,7,5,2,4,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [8,1,2,7,4,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,7,4,5,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [8,2,7,3,1,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,4,8,3,1,7,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [8,1,3,7,5,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,6,5,7,8,2,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [6,1,3,7,4,2,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,7,2,4,1,3,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,3,8,4,2,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,5,3,4,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,7,2,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,8,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,6,7,3,8,5,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [7,3,4,8,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,7,2,4,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,6,7,5,2,8,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [5,4,6,7,8,1,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [5,3,6,7,8,1,4,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [5,3,7,6,8,4,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [7,5,3,2,8,6,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,4,8,6,7,2,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,8,6,3,1,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,6,3,8,2,7,1]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>96 [5,4,8,7,2,1,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,6,4,8,2,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,3,7,4,6,2,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [8,2,4,7,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,1,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,4,6,2,8,3,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [8,4,6,1,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,2,8,5,4,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,5,4,1,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,4,1,5,2,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,5,4,3,8,1,6,7]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [3,7,5,4,1,2,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [4,2,5,1,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>3 [4,2,1,8,6,3,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,7,5,4,2,1,6,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,7,2,4,1,6,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [7,3,2,1,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,8,6,1,7,4,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,5,2,6,1,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,6,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,2,5,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,2,6,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,1,5,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,5,1,6,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,1,4,5,3,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,4,1,5,3,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [2,1,8,6,3,7,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,8,3,1,7,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,6,3,2,8,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,6,3,8,7,4,1,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,2,6,8,7,4,1,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,3,8,5,7,2,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,3,8,5,4,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,8,4,5,1,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,2,3,1,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,4,1,3,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,1,3,4,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,2,1,4,3,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [4,2,7,3,8,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,7,3,2,8,5,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,3,7,2,8,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,3,1,2,4,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,4,3,1,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,3,4,1,2,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,2,3,4,1,8,6,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>1 [5,1,7,3,4,6,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,8,7,4,3,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,1,3,4,5,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,5,2,8,1,6,7,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,1,7,8,2,5,4,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [6,2,3,7,4,1,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,3,7,4,1,2,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,2,6,8,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,7,2,8,6,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [7,4,5,1,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,3,1,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,1,4,8,3,7,5,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,2,7,8,4,3,6,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [5,8,1,4,3,2,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,3,5,6,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,7,8,4,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [6,3,7,8,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [8,5,2,4,3,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,2,3,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,5,6,4,8,1,7,2]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [1,8,2,6,3,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,6,4,7,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,8,1,3,2,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,4,7,3,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,6,3,8,1,5,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [8,3,1,4,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,7,3,5,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,3,5,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,3,5,1,2,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,1,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,4,1,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,8,7,4,6,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,3,8,7,4,6,1,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [8,3,5,7,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,3,1,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,4,1,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,5,8,7,4,6,3,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,8,7,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,5,1,6,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,3,8,7,5,6,1,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,8,7,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,5,4,7,2,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,7,3,5,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,5,8,6,4,2,7,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [6,8,4,1,5,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,1,7,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,4,6,1,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,4,8,6,5,1,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,8,7,6,5,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,5,1,6,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,8,3,1,6,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,7,2,8,4,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,7,3,2,4,8,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [7,2,8,6,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,2,6,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,7,8,4,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [2,7,8,6,4,1,3,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [7,6,3,5,2,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,7,4,8,5,3,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,6,5,1,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,1,7,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,6,8,3,7,4,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,3,8,2,4,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,6,3,8,7,5,2,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,3,8,7,5,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,4,2,1,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,5,3,1,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,1,7,8,6,4,2,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [3,8,1,7,6,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,1,7,6,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,3,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,8,6,4,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,5,8,2,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,5,2,4,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,7,1,3,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,7,4,3,8,5,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [5,2,4,7,3,8,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [1,5,8,7,2,4,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [8,3,7,2,5,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,2,8,1,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,2,6,1,5,8,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [7,2,1,5,8,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,8,1,4,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,8,3,2,6,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,7,4,8,3,2,6,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,5,4,8,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,5,4,3,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [1,3,4,5,6,7,9,8,2]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>48 [1,6,4,2,3,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,8,7,2,3,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,5,8,6,2,3,4,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,7,5,6,2,3,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,3,2,8,6,4,5,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,7,5,8,2,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,8,7,5,2,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,5,8,6,3,7,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [2,5,8,4,6,1,7,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,3,2,5,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,3,2,8,6,1,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,8,4,6,1,3,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,6,1,4,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,3,5,7,2,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,8,1,7,6,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,3,8,1,5,7,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,4,1,5,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,3,6,8,5,2,7,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [8,5,4,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,5,4,2,7,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,6,4,8,5,2,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,6,4,1,8,2,7,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [3,6,4,1,5,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [4,8,6,5,1,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,3,5,6,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,6,2,4,7,1,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [2,7,5,4,6,1,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,3,7,4,6,1,8,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [6,5,7,4,1,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [3,6,4,2,5,7,8,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [2,3,6,1,5,7,8,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>32 [2,6,4,1,5,7,8,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [2,4,1,6,5,7,8,3]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>36 [7,5,4,2,6,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,7,3,1,8,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,6,4,2,7,1,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [5,3,6,4,8,2,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [7,3,2,5,4,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,2,5,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,6,3,8,7,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,7,6,3,8,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,7,3,8,6,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [5,7,3,2,6,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,7,3,2,6,4,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [2,7,5,3,1,8,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [7,5,2,8,4,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,2,4,1,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,3,7,5,8,2,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [8,4,5,3,7,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,3,6,8,2,1,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [1,2,9,4,5,6,7,8,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,6,4,5,7,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,8,5,3,4,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,9,5,4,6,7,8,3]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,9,4,3,5,6,7,8,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,10,4,5,6,7,8,9,3]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,3,2,4,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,2,3,4,5,6,7,8,9,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,8,4,1,6,3,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,6,1,3,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,6,4,1,8,5,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [2,8,6,5,3,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,4,8,6,2,3,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,8,7,5,2,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,4,7,6,8,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [8,5,7,6,3,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,1,8,7,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [1,8,5,4,2,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,7,6,1,5,8,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,6,5,8,2,7,4,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [8,3,2,7,4,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,8,4,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,6,2,3,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,7,1,3,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,1,3,8,7,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,7,1,6,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,5,2,4,7,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,1,5,2,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,8,5,1,4,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,2,5,4,1,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,8,1,6,3,2,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,4,8,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,9,1,2,3,5,6,7,8]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>56 [3,9,1,2,4,5,6,7,8]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [1,8,2,3,4,5,6,7,9]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,6,1,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,4,5,7,2,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,8,3,6,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,7,6,1,2,3,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [3,6,7,5,1,2,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [1,7,6,8,5,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [5,7,6,8,1,2,4,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,6,3,7,1,4,8,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [5,3,2,1,8,6,4,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [3,8,6,4,5,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [9,8,7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,1,9,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [11,10,9,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,5,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,5,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,4,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,1,9,8,6,5,7,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,9,8,5,7,6,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,10,9,8,6,7,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,11,10,9,8,7,6,5,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,8,7,6,5,4,3,2,9]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,9,8,7,6,5,4,3,2,10]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [2,1,8,7,6,5,4,3,9]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [7,8,6,1,4,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,5,4,6,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,5,8,3,7,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,5,3,6,2,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,4,3,2,6,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,4,3,2,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,4,3,8,2,1,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,4,8,3,2,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,8,4,3,2,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,5,8,3,1,2,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,8,6,7,3,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,8,6,1,3,2,4,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,4,3,2,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,4,3,8,2,1,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [1,8,4,3,2,5,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,4,3,8,2,6,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,4,2,3,5,1,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,2,3,6,1,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [5,2,3,8,6,4,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,2,3,7,4,8,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [8,6,3,2,5,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,3,4,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,8,1,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,8,6,4,7,2,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,1,8,6,4,5,7,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,8,2,5,7,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,3,4,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,4,7,8,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [3,8,5,1,4,7,6,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,1,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,8,5,2,7,3,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,7,8,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,8,6,2,7,4,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,5,4,7,1,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,6,2,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,1,5,2,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,2,3,7,8,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [8,4,2,3,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,8,3,7,2,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,7,2,8,4,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,5,1,8,4,6,2,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [4,2,1,5,6,8,3,7]=>[1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>12 [4,1,2,6,5,8,3,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [4,1,8,3,2,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,2,7,5,8,1,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,6,2,7,8,3,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [4,6,1,3,8,2,5,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [3,7,4,5,1,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,6,4,5,8,2,1,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,1,4,5,2,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,2,4,5,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,4,1,6,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,4,8,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,8,7,5,3,6,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,3,7,4,1,6,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,1,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,4,2,6,5,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [8,2,1,5,6,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,1,8,4,7,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,1,4,8,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,1,8,5,6,7,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,7,4,8,6,2,1,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,3,6,8,2,7,1,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,3,7,4,8,2,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [4,3,6,8,2,7,1,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [5,3,7,4,8,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,3,8,4,1,6,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,8,1,4,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,4,1,6,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,3,8,4,1,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,5,8,3,6,7,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,8,2,5,6,7,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,8,4,1,6,5,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,3,8,1,5,7,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,3,1,2,5,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,2,6,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,2,3,4,5,9,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>14 [2,8,9,1,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>49 [2,8,9,10,1,3,4,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>343 [7,1,8,2,9,3,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>30 [5,1,3,7,4,8,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,1,3,4,7,8,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [2,5,8,7,4,3,6,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,1,7,8,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,6,8,2,3,4,1,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [3,7,4,5,8,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,7,8,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [5,8,2,1,6,3,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,3,7,5,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,4,7,8,5,3,6,1]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [5,3,1,4,7,2,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [4,3,8,5,1,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,5,8,2,1,7,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,8,5,3,7,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,5,7,3,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,5,1,3,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,8,5,1,3,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,8,4,1,5,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,4,7,5,8,2,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [1,8,5,7,2,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,4,2,3,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,3,6,7,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,4,5,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,6,2,4,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,7,8,4,5,3,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [7,2,8,4,3,6,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,5,6,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,3,8,5,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,2,8,7,5,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,8,4,3,7,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,2,8,4,3,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,4,7,3,2,6,8,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [1,6,4,5,7,8,2,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [4,2,6,5,7,8,1,3]=>[1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>54 [5,3,2,6,8,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [3,1,8,6,4,7,2,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,3,2,8,7,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,3,8,2,7,6,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,4,8,3,7,2,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,8,5,1,3,7,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,8,7,2,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,7,5,1,8,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [7,8,5,2,1,6,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,4,8,1,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,4,8,3,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,8,5,6,2,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,1,5,8,6,7,2,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,7,5,6,1,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,5,1,8,6,7,3,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,4,5,8,6,7,2,1]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [2,1,5,8,6,7,4,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [3,4,5,8,7,1,2,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [4,7,1,5,6,2,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,3,8,6,4,7,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,1,5,7,8,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [3,6,4,7,2,1,8,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [3,8,4,6,1,7,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,5,6,4,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,4,5,6,7,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,5,2,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,5,2,1,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,5,1,7,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,4,1,7,3,2,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,5,4,7,1,3,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,1,4,7,2,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [2,1,3,4,5,6,8,9,7]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [2,1,3,4,5,6,7,9,8]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,2,3,4,5,6,7,8,10,11,9]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [2,1,3,4,5,6,7,9,10,8]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [2,3,1,4,5,6,8,9,7]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,3,2,4,5,6,8,9,7]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>2 [2,3,1,4,5,6,7,9,8]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,3,2,4,5,6,7,9,8]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [2,1,3,4,5,6,7,8,10,9]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [6,1,3,5,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,3,5,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,7,2,3,8,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,2,1,3,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,7,4,1,8,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [4,1,7,5,8,3,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [6,7,1,3,8,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,1,7,4,2,8,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,7,3,2,1,8,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,3,2,8,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [1,2,6,7,4,3,8,5]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8 [2,7,1,8,4,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,7,5,8,1,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [6,7,1,8,4,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [8,2,5,7,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,7,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,7,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,6,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,2,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,7,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,7,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,2,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,6,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,2,7,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,4,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,3,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,7,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,5,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,4,6,1,5,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,4,3,8,5,1,6,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [7,8,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,7,3,5,8,4,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,2,1,6,4,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,8,3,2,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,8,7,2,4,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,1,8,7,6,4,2,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,1,8,7,5,4,2,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,7,1,6,5,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,8,1,6,5,3,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,1,7,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,1,8,6,3,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,4,1,7,6,3,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [6,4,1,8,5,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,4,1,7,5,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,6,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,6,1,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,5,6,1,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,6,1,4,3,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,8,6,1,4,3,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,7,5,1,4,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [8,7,5,1,4,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,1,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,7,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,3,4,2,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,1,6,4,5,8,7,2]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [3,1,6,4,5,8,2,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [4,6,8,7,2,5,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,6,3,8,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,2,7,6,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,7,8,1,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,6,3,8,4,1,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [8,2,7,6,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,3,4,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [8,7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,7,6,4,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,5,1,7,2,4,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [4,7,5,8,2,1,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [8,1,2,7,5,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,1,8,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [1,8,7,5,3,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,8,1,5,4,2,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,7,5,1,4,6,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [5,7,6,1,4,3,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,8,1,7,5,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,3,1,2,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,5,7,1,4,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [5,2,6,7,4,8,1,3]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [7,1,3,6,8,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,2,5,7,8,4,6,3]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>24 [6,7,4,1,3,2,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [1,7,2,8,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,6,3,5,7,8,2,4]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [8,6,1,7,5,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,1,8,3,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,1,6,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,1,6,7,8,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [5,1,4,6,7,8,2,3]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [8,1,4,6,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,4,6,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,1,6,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,4,1,8,5,2,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [8,6,4,1,5,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,5,4,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [1,2,8,7,4,3,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,2,3,1,7,8,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [1,6,4,3,7,8,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [7,6,4,3,1,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,4,6,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,4,6,5,1,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,6,3,7,8,2,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>36 [6,8,3,5,7,2,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,6,5,7,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,2,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,8,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>14 [9,7,6,5,4,3,1,2,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,4,3,5,6,7,8,9,1]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>96 [2,3,8,4,7,5,6,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [3,7,2,8,6,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [6,3,7,5,8,2,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [4,3,7,8,6,2,5,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,8,1,7,5,2,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,4,7,8,6,1,5,3]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [2,4,8,5,1,7,3,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,8,3,5,1,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,4,6,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,3,8,2,1,7,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,8,3,2,5,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,7,1,3,8,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,5,6,7,8,9,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1024 [7,8,9,2,1,3,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,9,2,1,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,2,7,5,1,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,4,6,8,3,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [8,2,1,4,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,2,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,4,1,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,2,1,5,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,5,3,2,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,4,1,3,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,2,3,7,8,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,2,8,6,3,1,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,3,5,1,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,6,3,4,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,4,5,7,8,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [8,6,3,2,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,5,3,7,1,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [8,5,3,6,7,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,7,8,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [1,2,8,4,3,6,7,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,8,3,2,4,6,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,7,5,3,4,6,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,2,7,4,5,3,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [8,2,7,1,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,1,3,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,1,7,8,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [4,7,8,1,6,5,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [3,5,8,6,1,4,2,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [1,8,4,2,7,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,8,1,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,3,8,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,3,8,6,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,1,3,7,6,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,1,8,7,3,6,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [7,3,8,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,5,1,7,8,2,6,4]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [5,4,7,8,2,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,3,6,1,8,4,2,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [6,3,8,7,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,6,4,7,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,7,1,5,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [4,5,7,2,1,6,3,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>40 [5,6,4,8,3,2,1,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,7,4,8,2,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,7,5,8,2,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [5,7,4,2,6,3,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,7,4,1,6,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [8,5,6,1,7,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,1,6,7,8,3,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>108 [8,4,6,7,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,6,7,2,5,8,1]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>144 [7,1,4,6,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,1,2,4,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [1,6,3,4,7,8,5,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [7,8,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,2,6,7,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,7,3,2,8,1,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [7,1,2,6,3,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,2,6,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,7,6,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,7,3,1,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,8,3,1,6,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [7,4,3,1,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,3,1,8,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,7,6,2,4,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [4,3,7,2,8,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [6,1,2,7,4,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [5,1,2,7,3,8,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [6,1,2,7,3,5,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [8,3,6,2,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,3,2,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,2,1,5,3,6,7,8]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>2 [8,6,4,3,2,1,9,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [7,5,4,3,2,1,8,6,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>2 [8,6,4,2,1,9,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [6,4,3,2,1,7,5,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>2 [5,3,2,1,6,4,7,8,9]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>2 [4,2,1,5,3,6,7,8,9]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,1,4,2,5,6,7,8,9]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [9,7,5,4,3,2,1,10,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [9,7,5,3,2,1,10,8,6,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [6,2,5,4,1,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,5,3,2,1,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,4,3,2,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,4,7,6,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [7,4,3,2,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,8,3,7,5,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,7,8,4,3,2,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,4,3,8,5,2,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,2,5,4,7,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,5,4,8,6,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,2,5,4,8,6,1,7]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [3,2,8,6,5,4,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,4,3,6,5,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,7,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,7,8,5,4,1,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [6,8,7,4,3,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,6,1,4,8,7,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [5,8,1,3,7,2,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,5,1,8,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,3,2,1,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,3,1,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,4,7,1,8,5,6,2]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [3,4,8,1,7,5,6,2]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [7,2,5,1,8,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,1,5,8,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,2,8,1,7,5,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,3,6,4,1,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,5,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,6,4,2,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,7,4,1,5,8,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [5,8,6,1,2,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,1,4,3,7,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,1,4,3,8,5,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [4,7,1,5,3,8,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [6,8,1,2,4,7,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,1,6,4,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,6,4,1,3,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,6,1,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,1,4,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,5,6,1,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,5,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,3,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,1,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,1,3,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,2,4,5,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,3,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [1,8,3,6,7,2,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,3,7,4,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,9,2,3,4,5,6,7,8,10]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,7,2,3,4,5,6,8,9]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [8,2,6,5,4,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,6,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,7,2,1,8,3,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [3,7,1,8,2,5,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [4,5,8,6,1,3,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,8,6,2,7,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,6,7,1,5,3,8,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [4,6,7,2,1,8,5,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [4,2,5,6,7,8,3,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>81 [4,1,3,5,6,7,8,2]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>16 [3,7,8,4,5,1,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,6,8,3,2,7,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,8,2,3,7,1,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,8,1,7,4,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,5,8,3,7,1,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,7,8,4,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,6,1,5,7,8,2,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [3,8,2,5,4,7,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,2,5,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,5,8,6,2,1,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,8,6,1,2,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,6,8,5,2,7,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,7,8,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,8,5,4,1,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,6,8,5,3,1,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,8,2,3,5,4,1,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,6,5,2,7,8,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [1,6,5,2,3,4,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,7,3,1,2,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,3,2,5,1,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,1,2,4,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,3,1,7,2,5,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [3,7,2,8,5,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [3,6,5,8,1,7,2,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [9,2,3,4,5,6,7,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [5,2,7,3,4,6,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,1,7,4,8,5,3,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,7,4,1,3,6,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [7,4,3,1,6,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,6,1,7,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,4,6,5,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,1,7,6,3,4,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,2,7,3,8,5,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [1,2,7,5,3,4,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [7,2,8,3,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,7,8,3,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [1,7,8,2,5,3,4,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [3,7,8,1,2,5,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [1,2,8,7,3,4,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,2,7,4,5,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,1,5,7,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,5,4,8,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,8,6,4,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,5,1,4,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,4,3,1,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,4,1,3,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,3,7,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,5,7,4,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,6,8,5,3,4,7]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [5,6,8,7,3,1,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,7,5,3,8,1,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,2,3,4,7,1,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,8,5,7,3,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,7,8,6,3,1,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,1,4,2,6,8,7,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [6,3,2,4,7,1,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [5,7,8,3,6,1,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [1,5,8,6,2,4,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,6,2,4,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,6,3,7,1,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,6,3,8,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,6,8,3,1,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,8,7,5,3,1,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,7,2,1,5,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,3,6,1,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,1,6,5,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,3,2,1,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,2,6,4,3,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,6,3,4,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,3,6,2,8,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [2,8,3,7,5,1,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,4,8,7,2,1,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,8,4,3,6,7,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,3,2,5,6,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,6,7,8,2,4,3,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [4,1,2,8,5,3,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,8,4,2,5,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,8,5,6,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,3,5,6,4,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,1,5,7,6,8,2,3]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [7,6,8,3,2,5,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,1,4,5,3,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [5,1,3,8,4,6,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,5,8,7,1,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,7,3,5,1,6,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [5,7,6,8,2,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [1,7,2,4,8,3,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,6,2,4,5,3,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,3,2,8,4,5,7,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,8,2,4,3,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,7,2,5,3,4,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,2,8,3,6,7,4,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [10,3,4,5,6,7,8,9,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,3,4,5,6,7,8,1,10,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [11,3,4,5,6,7,8,9,10,1,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,4,5,6,7,8,1,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,3,4,5,6,7,8,9,1,11,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [10,3,8,5,6,7,1,9,2,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,3,4,7,6,1,8,9,2,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,3,4,5,1,7,8,9,2,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,1,5,6,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,1,4,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,1,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,1,3,7,2,5,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [6,2,7,5,1,3,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [3,7,6,1,2,4,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [8,6,1,3,5,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,4,3,8,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,1,5,3,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,6,7,5,2,8,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [7,8,4,1,5,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,8,1,3,6,7,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,4,3,7,1,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,4,6,7,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,3,8,4,7,1,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,3,8,2,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,1,3,7,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,4,7,8,1,2,6]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [8,3,1,4,7,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,4,7,8,2,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,2,3,6,7,8,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [6,2,7,3,8,5,1,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,2,6,7,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,4,6,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,5,8,4,7,1,3,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,8,7,1,2,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,1,8,5,7,2,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,8,7,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,6,5,4,1,8,3,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [6,2,5,1,4,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,5,4,1,3,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,3,5,4,2,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,7,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,1,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,4,5,1,6,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,5,4,1,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,5,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,6,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,5,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,1,8,5,7,6,3]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [8,2,1,4,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,4,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,3,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,4,2,3,7,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,1,2,8,7,4,6,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [8,5,1,2,4,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,3,7,4,1,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,4,5,7,6,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,1,8,7,6,4,5]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [4,2,8,7,3,1,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,1,3,4,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,8,2,6,7,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,6,8,2,5,1,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,8,2,5,7,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,4,2,1,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,5,6,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,8,5,4,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,5,4,1,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,1,5,7,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,1,8,2,7,5,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,5,7,1,6,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,7,3,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,4,7,2,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,4,7,6,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,5,8,1,7,4,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [8,4,7,1,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,5,6,9,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [8,2,3,9,5,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [8,2,9,4,5,6,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,9,3,4,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,2,3,4,5,6,7,10,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [4,2,3,1,9,8,7,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,2,1,9,8,6,7,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [9,2,10,4,5,6,7,8,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [2,3,4,7,6,8,1,5]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>48 [3,8,1,2,5,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,2,5,6,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [8,5,2,1,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,6,5,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,6,3,8,5,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [8,3,5,4,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,6,4,7,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,1,8,6,5,2,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,3,1,5,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,2,4,1,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,2,4,1,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,2,6,8,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,3,2,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,2,4,6,1,3,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [7,2,3,4,6,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,3,4,6,7,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,3,4,7,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,6,1,3,4,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,5,7,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,4,6,8,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,1,6,8,3,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,5,2,8,1,7,3,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,7,5,2,8,6,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,8,5,2,6,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,8,6,1,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,4,6,5,2,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,4,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,7,6,4,8,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [8,6,2,3,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,7,4,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,4,5,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,3,5,6,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,5,8,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,3,8,4,7,1,5,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,4,3,2,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,3,6,1,4,2,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [5,7,2,1,4,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [7,1,8,3,5,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,4,8,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,8,4,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,2,5,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,1,7,5,8,3,6,4]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [7,3,8,5,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,4,8,1,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,4,8,3,1,5,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,5,8,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,5,3,7,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,3,7,2,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,4,8,6,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,8,4,1,3,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,3,4,1,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,3,1,8,2,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,3,8,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,4,8,7,3,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,7,4,8,6,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [6,4,8,2,3,1,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,1,8,3,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,6,3,8,2,4,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [7,3,6,2,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,1,8,4,7,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,5,4,8,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,3,5,8,7,1,2,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,5,6,8,1,4,2,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [4,3,5,8,2,1,6,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [6,4,7,2,3,1,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,8,1,5,4,2,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,6,3,1,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,6,3,5,1,2,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,2,8,5,4,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,8,4,7,2,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,6,4,3,7,1,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [6,5,3,7,2,4,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [5,6,2,8,4,3,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [7,1,3,6,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,7,4,3,6,8,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [4,6,2,7,8,3,5,1]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [5,1,2,4,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [5,6,3,4,8,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,8,4,6,3,2,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,3,8,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,7,8,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,6,2,4,8,3,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [6,4,7,8,2,3,5,1]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [3,7,5,2,4,8,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [4,7,5,2,3,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [6,4,7,3,2,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,7,3,2,8,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,3,7,2,8,4,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [4,3,7,2,5,8,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,7,3,2,5,8,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,3,2,6,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [7,5,3,2,6,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,2,6,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,6,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,2,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,5,6,2,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,7,6,2,8,3,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,6,2,3,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [7,6,3,2,5,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,4,2,5,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,10,4,5,6,7,8,9,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [9,8,4,5,6,7,1,2,10,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [2,10,9,5,6,7,8,1,3,4]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [2,11,4,5,6,7,8,9,10,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [11,3,4,5,6,7,8,9,10,1,12,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [10,9,4,5,6,7,8,1,2,11,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [9,3,8,5,6,7,1,2,10,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [9,7,4,5,6,1,8,2,10,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [2,10,4,9,6,7,8,1,3,5]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [2,10,8,5,6,7,1,9,3,4]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [2,11,10,5,6,7,8,9,1,3,4]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [2,12,4,5,6,7,8,9,10,11,1,3]=>[1,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>11 [6,3,8,5,4,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,3,2,4,5,6,7,8,9]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,4,2,3,5,6,7,8,9]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [4,8,7,5,2,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,4,7,5,8,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [1,8,6,5,3,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,6,1,7,8,5,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [6,1,2,7,8,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,1,3,2,7,8,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,6,3,1,7,4,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [4,8,3,7,1,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,2,6,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,2,1,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,3,8,1,7,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,5,3,8,7,1,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,3,8,2,7,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,2,7,6,5,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,2,6,5,4,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,8,7,6,2,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,3,7,2,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,6,3,1,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,7,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,3,7,6,2,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,7,6,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,2,1,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,4,2,5,3,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,8,6,2,7,3,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,3,2,4,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,5,2,6,4,3,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [1,5,2,4,6,3,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [1,8,6,2,3,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,2,3,8,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,2,3,8,6,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,2,5,8,3,4,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [8,2,3,4,5,6,7,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [2,9,3,4,5,6,7,8,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [9,2,3,4,5,6,7,8,10,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [6,2,3,4,5,1,8,9,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>2 [6,2,3,5,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,2,4,8,1,6,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [2,1,4,9,5,6,7,8,3]=>[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,10,3,4,5,6,7,8,9,1]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [1,5,6,3,4,2,7,8]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [1,5,3,6,4,2,7,8]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [1,7,5,6,8,3,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,7,3,1,8,5,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,3,1,5,8,7,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,3,5,1,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,3,5,8,2,1,7]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [7,2,4,8,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,3,6,4,1,8,7,5]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>24 [7,4,5,2,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,7,5,2,1,8,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [8,5,3,6,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,1,8,3,2,7,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [5,7,4,6,3,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [8,6,2,3,1,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,3,1,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,1,2,4,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [4,7,5,2,3,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [3,6,8,4,5,1,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,2,3,7,6,4,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [6,2,7,3,5,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,2,6,5,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,6,5,4,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,8,4,5,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,3,1,7,8,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>8 [7,2,8,5,1,4,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,6,7,1,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,7,1,4,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,5,3,1,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,8,5,1,4,2,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,8,7,3,1,2,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,2,3,1,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,5,4,2,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,5,3,8,2,1,6,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,7,4,1,8,2,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,8,4,1,7,6,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,2,1,8,4,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [8,7,1,6,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,2,7,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,2,1,7,6,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,5,7,8,2,4,6,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [7,8,2,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,5,3,7,8,2,6,1]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [1,7,3,6,8,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,6,8,2,7,3,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,6,3,5,1,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [7,8,3,6,1,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,5,7,8,4,6,1,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [3,7,5,6,2,1,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [6,2,1,7,4,5,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [1,2,6,4,7,5,3,8]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [7,5,6,3,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,4,2,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,8,4,7,5,1,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [6,7,5,1,4,8,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [7,4,1,6,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,8,2,7,3,6,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,4,1,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,1,8,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,8,5,3,2,6,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,2,5,1,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,4,3,8,2,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,8,6,1,4,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,4,7,8,6,1,3,5]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [3,7,8,6,5,2,4,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,5,2,7,8,6,3,1]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [6,7,4,3,1,5,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [1,7,5,6,4,3,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [7,6,5,3,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,6,4,3,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,1,7,8,6,5,3,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [4,5,7,3,8,6,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [6,8,5,3,7,2,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,7,1,5,8,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,7,6,2,1,8,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [2,7,5,8,3,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,4,8,2,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,4,8,2,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,3,8,1,6,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,3,6,5,7,8,1,4]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>72 [8,3,4,1,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,4,8,5,2,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,4,5,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,1,2,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,8,2,3,5,7,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,7,4,8,5,3,2,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [4,1,2,8,5,7,6,3]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [6,4,1,3,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,7,6,2,1,5,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [8,5,4,2,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,6,7,1,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,8,2,1,4,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,6,1,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,8,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [5,6,2,8,7,1,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [7,1,3,8,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,8,1,4,3,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,6,7,2,8,1,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,6,7,1,8,2,5,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,8,1,4,7,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,1,3,2,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,8,3,2,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,1,2,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,2,1,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,4,2,7,1,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,4,3,7,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,2,4,7,1,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,2,4,8,7,1,6,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [4,2,8,3,1,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,2,1,3,7,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,8,1,3,7,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,3,4,6,8,7,1,5]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>72 [5,6,4,7,1,2,8,3]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [4,6,7,5,8,2,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,5,7,1,6,8,3,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,5,1,7,6,8,2,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [6,7,2,8,3,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [7,6,3,1,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,7,8,4,1,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [6,3,7,8,4,1,2,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,8,5,2,4,1,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,2,3,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,1,3,7,8,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [4,3,1,8,5,2,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,8,5,4,2,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,6,3,5,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,1,3,2,4,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [2,3,7,8,5,4,1,6]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [8,3,5,6,1,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,8,1,2,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,3,6,7,8,2,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [7,2,4,1,3,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,8,2,5,4,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,4,5,2,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,8,2,3,7,5,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,5,7,2,3,6,1,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>40 [2,7,3,4,1,5,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [6,7,2,3,4,8,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [2,3,4,5,6,1,8,7,9]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>16 [2,3,4,5,1,7,6,8,9]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>8 [2,3,4,1,6,5,7,8,9]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [2,3,1,5,4,6,7,8,9]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [2,4,8,5,6,1,7,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [6,3,5,8,4,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,8,7,4,5,1,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,2,8,4,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,3,5,1,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [8,6,2,4,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,4,3,2,7,8,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [8,5,3,2,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,2,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,2,5,3,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,6,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,5,3,8,2,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [5,2,6,8,3,7,1,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,2,5,8,6,7,1,3]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [5,8,6,3,4,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,2,4,1,8,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [2,4,7,8,5,1,3,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [2,4,8,3,5,7,1,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [8,1,7,2,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,3,2,4,6,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,3,7,4,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,3,1,4,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,3,5,7,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,2,8,7,4,1,5,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,2,1,7,4,6,5,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [3,2,6,5,1,7,8,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [3,2,8,6,7,4,1,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,4,6,2,7,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,8,6,7,2,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,6,2,8,7,1,5]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [3,8,4,7,6,5,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,4,2,6,3,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,2,7,8,6,4,5,1]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [5,7,8,6,3,2,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,5,4,2,1,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,8,5,3,1,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,6,3,8,7,1,4]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [8,6,1,7,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,3,6,7,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,3,5,2,7,8,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [5,1,3,7,2,6,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [8,1,6,7,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,8,2,7,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,4,8,3,7,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,7,2,6,3,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,6,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,6,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,1,5,2,4,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,6,1,5,2,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,6,3,5,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,7,8,3,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,8,7,6,4,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,7,4,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,5,7,6,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,4,5,1,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,1,7,5,6,8,3,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [5,6,7,4,3,1,8,2]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>50 [6,7,8,5,3,1,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [1,4,6,2,5,3,7,8]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>6 [1,6,3,2,5,4,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,6,8,2,5,4,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,5,4,2,6,3,7,8]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [1,6,8,2,7,5,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,7,6,2,8,4,3,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,2,8,4,3,6,5,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,5,6,3,4,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,5,8,3,2,7,4,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,7,6,4,8,2,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,6,3,8,2,4,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,2,4,8,6,5,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,3,2,8,7,5,4,6]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,8,6,5,4,3,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,1,3,4,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,4,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,1,2,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,7,5,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,1,7,5,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,1,4,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,3,5,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,4,2,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,4,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,7,1,5,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,1,5,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,6,8,4,1,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,8,4,1,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,8,7,5,4,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,7,5,1,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,6,8,4,1,5,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,6,1,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,8,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,1,6,5,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,5,3,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,1,3,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,1,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,5,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,3,5,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,8,3,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,8,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,3,8,2,5,4,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,4,2,5,3,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,5,3,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,4,8,2,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,2,6,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,3,1,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,4,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,2,7,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,1,7,8,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,6,3,4,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,7,3,1,6,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,4,2,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,2,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,1,7,3,5,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,2,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,2,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,1,7,6,4,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [9,7,5,3,1,8,6,4,2,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,6,4,2,1,7,5,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,5,3,1,6,4,2,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,2,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,5,3,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,8,6,4,3,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,9,7,5,3,2,8,6,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,6,4,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,9,8,6,4,2,7,5,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,8,6,4,2,9,7,5,3]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,4,6,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,2,5,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,3,6,8,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [8,6,2,5,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,3,6,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,8,3,6,7,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,7,6,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,6,4,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,2,6,4,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,2,6,4,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,2,5,4,6,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,5,7,2,8,3,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,5,7,2,8,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,2,7,5,8,1,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,7,2,5,8,1,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,5,7,3,8,1,4,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,3,7,4,8,2,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,3,7,4,8,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,2,7,4,8,1,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,7,6,4,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,5,1,4,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,8,5,1,4,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,7,6,8,3,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,2,1,5,3,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,8,2,7,6,1,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,8,7,3,4,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,2,3,6,7,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,5,1,2,4,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [8,6,5,4,3,2,1,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [3,1,2,4,5,6,7,8,9,10]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [6,3,5,1,2,4,7,8,9,10]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [9,7,6,5,4,3,2,1,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [2,4,8,7,5,3,1,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,6,8,7,5,3,4,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,6,5,1,4,3,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [6,5,1,2,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [4,6,5,3,1,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [4,8,7,5,3,1,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,8,7,5,3,1,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,8,7,5,3,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,4,6,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,4,8,7,3,6,5]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [4,8,7,3,1,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,3,4,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,2,6,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,7,3,4,6,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,3,6,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,1,6,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,1,2,6,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,2,4,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,8,7,3,4,6,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,7,5,1,2,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,7,1,4,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,3,4,1,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,5,6,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,4,8,7,3,1,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,8,7,3,1,4,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,5,6,3,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,5,3,1,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,5,3,6,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,5,6,1,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,8,7,5,1,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [6,8,7,5,1,2,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,5,6,1,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,2,4,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,8,7,3,6,5,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [8,7,2,4,3,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,7,1,2,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,5,3,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,4,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,4,1,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [11,2,3,4,5,6,7,8,9,10,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [10,3,2,4,5,6,7,8,9,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,4,3,2,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,4,5,7,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [7,1,2,3,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,9,2,3,4,5,6,8,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,4,5,6,8,7,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,1,2,3,4,6,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [7,1,2,6,4,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,2,4,3,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,9,2,3,4,5,7,6,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,2,3,4,5,6,7,9,8]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [4,7,3,6,5,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [7,5,4,2,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,3,6,1,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,2,1,8,4,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [7,2,8,6,4,3,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,3,8,7,4,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,6,3,2,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,6,1,3,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,7,4,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,7,3,5,8,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [8,4,7,3,5,2,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,8,1,3,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,8,2,1,3,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,1,3,5,2,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,3,5,7,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,2,1,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,2,7,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,7,3,6,8,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [1,8,2,7,5,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,8,6,1,7,3,2,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,7,1,2,8,4,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [2,1,3,8,6,5,4,7]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,3,2,8,6,5,4,7]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,5,7,1,6,8,2,4]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [5,4,7,6,8,3,1,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [8,4,6,7,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,8,6,7,3,1,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,3,8,7,5,4,1,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [8,1,7,6,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,8,1,7,4,3,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [8,7,1,9,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [6,7,9,1,8,5,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>126 [4,1,8,7,3,6,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,6,8,4,1,7,3,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [4,5,8,7,3,1,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [9,8,1,10,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [7,8,10,1,9,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>196 [8,7,6,1,9,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [3,1,8,4,7,6,5,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,7,9,5,1,8,4,3,2]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>126 [1,5,8,4,3,7,6,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [8,1,7,2,5,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,5,2,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,1,5,4,8,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [8,6,2,4,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,5,6,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,5,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,7,6,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,6,2,8,7,4,1]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [7,3,1,5,6,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,3,2,5,6,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,5,6,2,8,1,7]=>[1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>81 [3,7,4,2,8,5,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [7,3,4,1,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,1,6,3,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,4,1,6,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,7,4,2,5,8,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [2,7,1,3,6,8,5,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,1,3,8,4,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [3,8,7,1,6,2,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,1,4,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,4,2,1,8,6,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [4,8,5,7,2,6,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,5,7,3,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,2,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,2,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,5,1,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,4,6,2,1,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,7,4,6,1,5,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [4,5,8,7,6,1,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,6,3,7,5,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,3,8,1,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,5,2,7,6,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,7,2,1,5,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [8,4,2,5,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,1,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,1,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,1,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,1,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,1,6,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,7,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,3,8,1,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,8,2,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,7,3,1,5,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [8,5,3,1,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,1,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,1,2,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,1,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,1,2,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,3,7,4,2,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [4,7,2,5,3,6,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [1,8,3,4,5,2,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,4,2,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,6,4,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,4,6,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,8,7,5,3,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,4,8,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,1,8,5,3,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,1,6,4,2,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,7,4,2,5,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [1,2,7,4,3,5,6,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [6,1,8,5,2,4,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,2,5,1,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,2,8,6,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,6,1,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,7,2,6,1,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,6,2,4,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,6,3,1,2,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,5,3,1,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,6,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,1,5,6,2,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,1,5,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,2,8,1,6,4,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,4,1,2,8,3,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,8,4,1,2,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,2,5,3,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,8,6,3,2,7,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,4,8,6,5,7,2,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [1,2,4,7,3,6,5,8]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,2,5,7,4,3,6,8]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,2,5,7,4,6,8,3]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12 [3,5,8,6,1,7,2,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,3,6,8,1,7,4,5]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [2,4,8,5,6,7,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,2,1,6,8,4,7,5]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [4,8,3,1,6,5,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,6,8,5,4,2,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,4,2,1,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,7,8,6,5,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,8,7,4,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,1,3,5,4,2,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [3,6,4,2,5,1,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [2,1,5,8,6,4,7,3]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [4,2,8,5,6,3,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,3,7,2,6,8,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,7,2,3,4,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [1,8,7,3,2,5,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,1,2,3,8,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [7,8,6,2,4,1,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,2,8,4,6,1,5,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,6,2,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,5,8,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,4,8,2,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,1,8,4,2,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,3,6,2,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,8,6,4,2,5,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,6,2,1,8,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [2,8,1,6,5,7,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,4,6,8,1,3,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [3,7,1,6,4,5,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [9,3,4,2,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,3,5,7,9,10,8,6,4,2]=>[1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>900 [6,7,3,4,8,5,1,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,4,1,8,2,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,1,7,2,5,6,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [6,4,1,7,2,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [7,3,1,6,2,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,8,2,5,3,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,3,4,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,1,4,5,7,8,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,3,4,7,1,8,5,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [7,8,5,1,3,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,3,4,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,2,7,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,3,5,6,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,3,2,5,6,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,2,7,8,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [6,8,7,2,1,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,6,8,5,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [1,7,8,5,2,6,3,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,6,1,2,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,2,4,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,7,5,1,8,2,3,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,6,1,2,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,2,1,5,3,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [4,3,2,8,7,1,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,8,3,2,7,1,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,1,7,6,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,7,1,6,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,7,3,1,6,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,2,1,7,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,8,7,2,6,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,4,1,8,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,4,2,8,1,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,8,4,2,1,7,6,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,7,1,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,8,3,1,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,5,6,1,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,4,1,2,5,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [3,6,7,5,8,1,2,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [1,6,7,5,8,3,2,4]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [3,8,6,5,7,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,1,6,5,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,1,6,8,4,7,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [6,5,8,7,4,2,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,5,7,4,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,6,7,5,8,2,1,4]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,7,5,3,8,1,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,7,5,3,6,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,5,3,1,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [2,7,5,3,6,4,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [4,7,5,3,8,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [2,7,5,8,6,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,7,5,6,8,3,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,5,6,8,3,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [4,7,5,3,6,8,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [2,7,5,6,3,8,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,5,3,6,8,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [8,7,5,3,1,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,5,3,1,4,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,7,5,3,4,8,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [5,7,6,2,8,3,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,1,6,3,2,4,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [5,7,6,1,8,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [3,8,7,2,1,5,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,1,7,2,8,4,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [4,8,5,6,7,3,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,6,2,8,5,1,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [6,1,7,3,8,5,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,1,8,3,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,8,3,1,5,4,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [4,8,5,6,7,2,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,2,7,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,4,6,7,8,5,1,3]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [2,4,6,7,8,3,1,5]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [4,7,6,2,8,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,8,7,3,2,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,5,8,7,3,1,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [8,3,1,7,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,1,2,8,3,7,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,8,7,1,6,2,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,5,1,7,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,1,4,8,2,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,5,6,1,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,6,1,3,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,7,6,1,3,8,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,7,1,4,2,8,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [7,4,5,1,3,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,3,6,4,2,5,7,8]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,4,5,7,8,3,6,2]=>[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>72 [6,8,4,7,3,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,4,2,7,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,4,6,3,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,4,8,5,3,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,3,2,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,1,8,2,6,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,6,7,8,2,1,4,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,2,8,3,6,5,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,3,8,7,2,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,6,1,8,2,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,2,4,7,8,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [7,2,1,3,4,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,6,2,3,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,2,5,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [1,6,7,2,4,3,5,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,8,3,4,5,2,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,6,4,7,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,5,8,2,6,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,4,8,6,7,2,1,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,2,5,1,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [1,7,2,5,8,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,7,5,1,6,8,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [5,8,7,4,6,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,8,1,5,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,3,5,2,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [7,2,1,8,6,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,4,7,8,5,6,1,3]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [4,1,7,8,5,6,3,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [2,6,3,8,5,1,7,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [4,1,5,8,6,7,3,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,5,8,2,6,3,1,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,3,4,7,6,1,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [2,8,5,4,1,3,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,2,8,7,1,3,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,2,8,6,4,3,7,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,1,8,7,3,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,1,7,6,8,3,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [8,1,4,5,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,4,7,6,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,3,2,6,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,1,7,8,2,5,3]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [7,2,3,8,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,2,6,7,8,3,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [6,5,8,1,2,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,1,8,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,4,3,7,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,2,8,7,3,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,3,2,8,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,6,8,3,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,8,1,7,6,2,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,2,8,6,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,1,8,7,6,5,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,6,5,2,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,1,8,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,5,1,8,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,5,1,7,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,7,6,1,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,7,6,1,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [10,9,1,2,3,4,5,6,7,11,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [9,1,8,2,3,4,5,6,10,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [9,7,1,2,3,4,5,6,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [2,10,1,9,3,4,5,6,7,8]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [2,10,8,1,3,4,5,6,7,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [2,11,10,1,3,4,5,6,7,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [8,3,7,5,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,8,1,5,2,6,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [8,6,5,7,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,6,2,7,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [3,1,8,5,7,2,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,8,5,3,4,2,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,5,2,6,4,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,6,1,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,5,8,1,4,6,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [3,4,6,7,8,2,1,5]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [6,2,7,4,8,5,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,7,1,3,8,5,4,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,1,8,5,2,4,3]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [1,2,6,7,8,5,3,4]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [1,6,7,4,8,3,2,5]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [6,1,2,4,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [8,1,7,3,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,3,2,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [6,1,2,4,5,3,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,4,1,2,3,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [8,1,2,3,5,6,7,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,1,7,3,2,6,4,5,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [7,3,4,6,1,2,5,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>1 [6,8,5,1,7,2,3,4,9]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>21 [8,3,4,5,7,1,2,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [7,9,4,6,1,8,2,3,5]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [4,1,3,2,5,6,7,8,9,10]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [6,1,2,4,5,3,7,8,9,10]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [5,4,1,2,3,6,7,8,9,10]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [8,1,2,3,5,6,7,4,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>1 [8,1,7,3,2,6,4,5,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>1 [7,3,4,6,1,2,5,8,9,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [8,3,4,5,7,1,2,6,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>1 [10,1,6,3,9,5,2,8,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,9,4,6,1,8,2,3,5,10]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>28 [9,3,4,5,6,8,1,2,7,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,10,4,5,7,1,9,2,3,6]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [10,3,4,5,6,7,9,1,2,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,7,2,1,5,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,4,8,6,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,6,5,2,4,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,4,3,1,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,8,7,2,3,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,6,1,2,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,8,2,7,1,5,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,8,6,1,4,5,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,7,2,5,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,1,2,3,5,6,7,8,9,10]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [5,1,2,3,4,6,7,8,9,10]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [8,1,2,3,4,5,6,7,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>1 [7,1,2,3,4,5,6,8,9,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [6,1,2,3,4,5,7,8,9,10]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [4,7,2,8,6,5,1,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,1,8,6,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [2,7,4,8,3,6,1,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [4,7,3,8,6,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,3,6,8,7,2,5,1]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,3,8,2,5,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,6,8,7,5,2,3]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [3,8,1,4,5,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,1,4,2,5,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,1,8,3,5,2,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,1,2,5,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,2,8,3,5,1,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,2,8,3,5,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,2,4,5,7,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,5,1,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,2,8,5,7,1,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,1,5,2,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,5,6,4,1,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,8,6,4,1,3,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,4,2,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,2,1,4,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,1,4,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,1,3,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,7,1,3,5,6,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,3,6,1,5,8,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>24 [3,6,7,4,1,2,8,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [4,3,2,7,1,6,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [7,3,2,8,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,8,1,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,6,8,1,5,3,7,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [6,8,2,1,5,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,2,5,3,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,8,2,3,6,7,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,4,8,5,3,6,7,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,8,5,3,2,6,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,2,7,5,6,8,3]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,6,7,4,2,8,3,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [2,5,7,4,6,8,3,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [7,5,2,4,3,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,8,1,2,5,4,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,4,1,8,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,6,1,8,5,4,7,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [7,1,2,8,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,7,6,4,8,5,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,5,2,8,4,6,7,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,4,5,8,2,6,7,1]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [5,4,2,8,3,6,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,3,4,8,2,6,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,3,2,5,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,1,8,3,5,4,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,4,8,3,2,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,2,3,4,6,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,2,1,7,8,5,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,4,6,8,3,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,6,1,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,6,7,3,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,2,3,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,1,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,1,7,8,5,4,2,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [7,6,4,8,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,8,5,6,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,8,5,1,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,2,7,8,6,1,4,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [6,8,2,5,1,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,4,2,1,5,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [5,7,4,1,3,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [4,2,7,5,1,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [1,8,6,4,7,3,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,7,1,8,6,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [5,4,8,1,7,3,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,3,8,6,2,1,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,3,6,2,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,2,4,6,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,2,8,5,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,2,8,7,3,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,6,8,1,7,4,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,8,6,3,1,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,8,6,1,7,5,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,7,5,4,8,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [6,8,7,5,2,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,2,8,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,6,5,2,7,8,4,3]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [4,7,8,5,6,2,3,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [2,7,8,5,6,1,4,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,4,2,1,5,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [4,7,8,1,2,5,6,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [8,6,4,1,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,4,7,2,5,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,7,8,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,2,1,5,3,4]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [7,2,3,6,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,2,3,5,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,2,4,3,6,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,8,2,1,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,3,6,7,8,5,1,4]=>[1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>128 [8,3,7,1,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,7,6,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,4,1,6,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,5,1,2,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,6,8,1,3,7,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [3,7,4,8,6,1,2,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [1,6,8,5,3,2,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,8,1,6,7,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,2,8,4,6,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,7,4,3,8,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [1,7,8,4,6,2,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,1,8,4,6,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,6,5,4,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,6,8,7,3,2,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [7,1,3,4,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,5,1,6,3,4,8,7,9]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>12 [4,7,2,8,5,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [8,7,1,4,6,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,2,8,4,7,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [1,4,7,5,8,6,3,2]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [6,1,8,3,4,7,2,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,8,6,3,5,2,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,7,1,6,8,3,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,6,5,2,8,4,1,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [8,2,5,6,3,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,4,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,5,6,4,2,3,7,8]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [5,7,3,6,8,4,2,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,8,7,4,2,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,7,3,2,5,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,3,5,7,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,1,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,7,6,8,4,3,5]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,6,3,2,5,7,8,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [4,1,8,6,2,3,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,5,8,6,2,3,4,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,5,7,6,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,3,5,7,8,4,2]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [1,2,7,6,8,4,5,3]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,8,4,7,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,8,5,2,1,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,3,7,2,6,4,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,3,8,2,6,1,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,6,2,5,3,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,2,4,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,2,4,3,5,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,2,3,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,4,2,7,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,3,2,8,1,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [8,7,6,1,5,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,5,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,7,1,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,7,2,8,1,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [8,3,5,4,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,3,1,5,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,3,7,1,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,1,4,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,7,3,8,4,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,7,5,4,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,1,3,4,2,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,3,4,6,1,2]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,1,3,4,2,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [7,3,5,6,4,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,5,3,6,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,7,5,8,4,1,2,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [7,5,6,8,1,3,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,3,4,7,8,1,2,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,3,7,6,8,1,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [7,3,5,1,2,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,7,1,2,8,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [7,4,8,3,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,6,4,2,3,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [7,4,8,2,5,6,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,2,4,6,1,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,4,8,5,2,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,4,5,8,1,6,7,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [6,8,7,4,2,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,6,8,4,7,3,1,2]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [2,3,8,1,5,6,4,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [5,4,8,1,2,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,2,4,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,1,8,2,3,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,2,3,8,1,7,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,6,2,7,5,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,1,8,6,3,5,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [5,7,6,1,3,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [8,1,7,5,3,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,3,7,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,4,6,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,1,5,6,4,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [8,4,6,3,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,5,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,7,5,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,7,2,8,6,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [3,5,6,4,1,7,2,8]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>48 [2,5,6,1,7,4,3,8]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>48 [2,7,1,8,6,5,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [3,7,6,1,8,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [8,6,4,2,1,3,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,6,2,1,4,3,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,4,2,1,6,3,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,6,4,2,9,1,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [9,6,4,2,7,1,3,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,4,2,5,1,3,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,2,3,1,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,3,1,2,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,4,2,1,3,5,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,2,1,4,3,5,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,2,1,4,3,6,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [10,8,4,2,1,6,3,5,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,4,2,1,8,3,5,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,2,8,3,1,4,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,9,4,2,5,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,6,4,2,7,1,3,5,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [2,7,8,3,1,4,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [9,6,7,2,3,1,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,4,2,5,1,3,6,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [9,7,4,5,1,2,3,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,2,3,1,4,6,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [9,7,5,3,1,2,4,6,8,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [1,8,5,3,2,6,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,5,6,7,3,2,8,4]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>32 [1,6,7,8,3,2,4,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [1,2,8,6,3,4,5,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,8,6,3,5,7,4]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,2,7,8,4,3,5,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,8,6,7,4,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,7,8,4,2,3,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [1,6,7,8,3,4,2,5]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [1,7,8,4,2,3,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,7,8,3,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,2,3,7,8,5,4,6]=>[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,2,7,4,6,3,8,5]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,7,8,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,7,8,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,2,8,4,5,6,3,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,8,2,7,3,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,2,3,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,5,2,6,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,7,3,2,5,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,1,6,7,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,2,1,3,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,8,3,6,7,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,1,8,4,6,2,7,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,4,1,6,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,6,4,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,1,8,7,5,3,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,7,3,2,4,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,3,7,5,6,8,4,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [2,8,7,6,4,5,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,7,6,3,1,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,3,5,2,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,7,5,2,4,8,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [2,3,7,5,4,8,6,1]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [8,3,5,1,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,6,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,7,6,8,2,5,1]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [5,2,8,4,1,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,8,5,2,1,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,6,4,1,8,2,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,4,2,1,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,6,7,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,6,7,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,8,6,3,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,6,8,1,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,2,9,3,4,5,6,8,7]=>[1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,9,1,2,3,4,8,5,7]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [1,2,10,3,4,5,6,7,9,8]=>[1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,11,2,3,4,5,6,7,8,10,9]=>[1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,10,1,2,3,4,5,9,6,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [5,7,1,2,6,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,9,1,2,6,3,4,8,7]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [4,1,2,3,10,5,6,9,7,8]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,5,7,4,1,8,2,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [8,6,4,7,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,3,1,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,5,6,1,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,7,3,5,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,1,2,8,5,7,4,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [8,1,2,3,4,6,9,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [8,1,2,4,6,9,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [6,1,2,3,4,5,9,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>1 [4,1,2,3,9,6,8,5,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [9,1,2,3,4,5,7,10,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [7,3,1,2,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,3,5,7,2,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,3,8,5,7,4,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,9,4,6,8,3,5,7]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [9,1,2,3,5,7,10,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [9,1,3,5,7,10,2,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [7,3,1,2,8,4,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,4,5,3,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,2,5,6,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,1,3,6,7,8,2]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>32 [5,1,7,6,3,4,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,1,7,5,4,8,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [3,7,2,1,6,8,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [1,5,8,2,4,7,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,1,6,4,7,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,6,5,7,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,1,4,7,3,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,6,8,2,7,4,5,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,2,1,8,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,1,6,8,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,6,2,1,8,3,4,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [6,4,1,7,3,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [8,2,5,6,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,4,6,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,2,4,7,8,1,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,1,4,3,2,8,5,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [2,7,4,8,6,1,5,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,4,8,6,5,7,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,7,8,6,4,2,5,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [6,2,8,4,7,5,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,5,7,3,6,8,1,2]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [3,4,7,8,6,5,1,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [2,3,7,6,5,1,4,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>10 [6,2,3,5,7,1,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,8,1,2,5,6,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,3,6,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,2,8,5,1,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,5,8,1,4,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,8,2,4,5,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,3,8,4,1,6,5,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [4,5,7,3,1,6,2,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>40 [2,3,1,4,8,5,7,6]=>[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2 [7,5,1,8,4,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,1,8,5,7,6,4,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,1,8,7,4,6,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,4,8,7,5,1,3,6]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,5,7,6,1,8,4,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [3,5,7,6,2,8,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [6,1,4,3,8,7,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,3,1,8,7,4,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,3,6,2,8,7,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [6,3,5,2,1,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [2,8,4,1,3,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,1,4,7,6,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,2,3,8,7,5,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,1,3,5,8,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [3,4,7,5,8,1,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [2,7,8,3,4,1,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,8,6,7,5,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,2,6,8,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,3,6,2,8,4,7,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [8,1,6,3,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,3,7,1,8,6,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>36 [6,8,2,7,4,1,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,1,7,8,5,3,2,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,8,3,4,6,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,7,4,2,5,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,8,7,1,5,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,3,1,5,7,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,2,7,1,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,3,4,5,2,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,2,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,7,1,5,2,6,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [6,7,1,8,3,4,5,2]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [3,7,1,6,8,4,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,8,5,2,6,7,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,8,3,4,7,1,5,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,6,5,2,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [8,3,5,2,7,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,4,6,3,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,8,6,4,7,1,5,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,4,8,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [3,7,1,4,5,2,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [2,3,7,6,5,8,1,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [4,3,5,6,7,8,9,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>243 [7,8,9,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [6,5,7,8,9,3,2,1,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>125 [3,5,7,6,8,2,1,4]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [6,2,4,3,7,5,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [8,2,5,3,6,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,5,3,6,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,2,5,3,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [5,2,7,3,6,4,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [7,3,6,2,5,4,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,3,8,2,5,4,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,3,1,4,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,3,7,2,5,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,8,3,6,4,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,2,8,4,6,5,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,2,5,4,1,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,4,1,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,1,4,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,2,1,4,8,6,3,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [4,2,8,3,7,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,2,8,3,7,4,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,3,7,2,6,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,4,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,6,3,7,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,3,8,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,2,7,3,8,4,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,2,6,3,8,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [6,2,5,3,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,2,5,3,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,2,5,3,7,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,3,7,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,4,3,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,2,4,3,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,2,4,3,8,6,1,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,2,4,3,1,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [7,2,4,3,1,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,5,1,3,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,3,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,5,3,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,2,5,3,1,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [5,2,7,3,1,6,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,2,7,3,1,5,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,2,6,3,1,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,4,1,3,7,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,1,5,3,7,4,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [3,2,8,5,1,6,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,2,8,4,1,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,3,7,4,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,3,2,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,3,5,2,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,7,2,8,1,4,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,8,2,7,1,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,1,5,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,5,3,2,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,7,6,5,3,2,1,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,6,4,3,2,1,5,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,5,4,3,2,1,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,6,5,4,1,2,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,7,6,5,4,2,1,3,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,6,5,2,3,1,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,7,6,5,3,2,1,4,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,6,3,4,2,1,5,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,7,6,4,3,2,1,5,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,4,5,3,2,1,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,7,5,4,3,2,1,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,5,6,4,3,2,1,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,6,5,4,3,2,1,7,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,6,2,3,1,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,3,5,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,1,7,8,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [7,3,4,2,1,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,6,3,2,4,7,8,5]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [1,8,5,3,2,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,7,8,1,5,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [3,6,7,1,8,4,2,5]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [2,7,3,8,4,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,1,4,3,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,6,2,7,8,3,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [7,4,1,8,5,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,5,8,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,4,8,1,5,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,7,4,1,3,6,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [6,2,1,4,7,5,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,8,7,9,5,4,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>126 [5,8,7,6,9,4,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>175 [4,8,7,6,5,9,3,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>140 [3,8,7,6,5,4,9,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>63 [2,8,7,6,5,4,3,9,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>14 [2,3,6,8,4,1,7,5]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [1,7,2,8,6,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [8,4,2,3,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,4,8,7,3,1,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,3,2,6,7,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,6,8,1,3,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,8,1,6,3,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,5,2,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,3,5,2,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,5,6,2,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,3,2,4,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,7,6,1,8,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [7,2,4,8,6,3,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,2,1,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,2,1,6,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,2,4,3,5,8,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [4,3,8,2,1,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,2,8,1,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,5,8,3,2,7,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,8,5,2,7,3,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,4,7,8,2,3,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,3,8,2,1,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,9,2,4,5,6,7,8,3]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,1,3,4,5,6,7,8,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [3,6,7,4,5,2,8,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [5,3,7,6,2,4,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [4,6,7,2,5,3,8,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [6,4,7,8,3,1,5,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [8,4,7,3,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,1,7,6,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,7,1,8,3,4,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [7,1,8,6,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,5,8,2,6,4,7,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,6,7,4,8,1,3,2]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [8,1,2,6,4,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,7,2,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,8,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [10,1,3,4,5,6,7,8,9,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,5,1,9,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [8,1,9,4,5,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [7,9,3,4,5,6,1,8,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [11,1,3,4,5,6,7,8,9,10,2]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [9,2,3,4,5,6,1,10,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [8,2,3,4,1,6,9,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [6,7,3,2,5,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [8,1,3,9,5,6,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [6,1,8,4,5,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,9,4,5,6,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [9,1,10,4,5,6,7,8,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [6,9,3,4,5,1,7,8,2]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [8,10,3,4,5,6,7,1,9,2]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [10,11,3,4,5,6,7,8,9,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>10 [7,3,5,2,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,1,2,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,7,4,6,3,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,7,2,1,3,6,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [3,7,2,6,8,1,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [7,4,8,6,5,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,6,8,5,1,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [7,3,1,6,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,6,8,5,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,5,8,7,6,4,1,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,6,2,1,4,7,8,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [6,8,2,7,5,4,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,1,7,6,4,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [10,6,1,2,3,4,9,5,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,1,2,3,4,9,5,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,10,1,2,3,4,8,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,1,5,2,3,4,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,5,3,4,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,1,2,3,4,5,8,6,7,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,1,2,3,4,8,5,10,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [11,1,2,3,4,5,9,6,7,8,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,4,9,1,2,3,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,10,5,1,2,3,4,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [2,10,1,5,3,4,6,7,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [11,10,1,5,2,3,4,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [4,1,5,6,7,8,9,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>243 [2,3,4,5,6,7,8,10,11,1,9]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>576 [2,3,6,7,1,8,9,4,5]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>288 [2,4,5,6,7,8,9,10,11,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>6561 [3,4,5,6,7,8,9,10,11,1,2]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>6561 [8,6,3,2,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,4,3,6,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,1,4,6,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,6,3,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,6,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,5,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,3,2,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,5,1,4,3,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,2,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,3,6,1,8,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [7,6,2,4,1,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,1,6,3,7,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,8,2,6,7,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,2,5,1,7,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,6,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,4,3,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,6,2,4,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,3,7,2,1,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,1,3,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,8,2,1,5,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,5,7,4,3,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [6,2,5,4,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,2,4,8,5,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,2,7,6,8,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [7,1,6,2,8,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,6,3,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,6,8,1,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,8,5,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,8,5,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,8,2,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,5,8,7,2,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,5,7,4,8,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,1,5,7,8,3,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [4,6,7,3,1,8,5,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [6,1,4,2,5,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,2,3,5,8,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,4,2,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,6,4,8,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [8,7,4,2,1,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,5,1,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,1,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,8,3,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,1,8,5,7,6,2,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,5,8,4,2,1,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [6,1,5,8,3,4,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,7,5,1,3,2,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [4,2,6,8,3,7,1,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [6,8,5,1,4,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,8,4,5,1,3,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,7,8,5,3,4,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,5,8,3,6,4,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [6,3,8,1,4,2,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,8,1,5,6,3,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,2,6,5,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,1,7,2,6,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,3,8,1,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,4,2,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,4,6,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,8,3,7,4,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,3,7,1,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,1,5,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,5,3,4,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,4,2,5,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,8,4,3,6,2,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,1,6,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,2,6,3,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,5,1,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,1,4,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,6,5,4,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,8,4,3,1,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,6,8,5,2,4,7,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,7,8,4,3,2,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,7,1,3,2,8,5,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,4,3,1,7,2,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [3,7,6,5,8,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,4,2,8,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,4,3,7,8,2,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [3,8,5,7,6,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,7,1,4,2,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,6,8,4,3,1,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,6,5,3,2,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [2,7,6,5,4,1,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [6,2,3,5,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,7,6,1,5,8,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [9,8,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,3,2,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,8,7,1,5,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [9,8,7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,10,1,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,9,1,8,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,1,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,1,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,1,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,4,3,6,5,8,7,1,9]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>27 [2,4,3,6,5,8,7,10,9,1]=>[1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>81 [7,2,6,1,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,7,3,8,6,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,3,6,8,2,1,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,4,7,3,8,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [8,7,2,4,6,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,2,8,5,4,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [5,4,8,3,6,2,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,2,5,7,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,2,7,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,4,2,7,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,2,7,3,4,5,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,2,4,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,3,4,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,2,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,8,7,3,4,5,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [1,7,8,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [8,3,1,2,4,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,2,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,6,4,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,5,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,8,1,5,4,3,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [3,5,8,2,1,4,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [4,2,8,5,3,7,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,2,7,5,3,8,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [6,4,5,1,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,4,7,8,3,1,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,5,8,1,3,7,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [7,6,2,8,1,4,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,7,2,6,8,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,3,2,8,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,4,3,8,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,2,1,6,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,8,6,5,7,2,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,2,7,6,4,5,8,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [7,2,6,5,1,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,2,8,5,6,3,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,4,2,1,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,7,3,2,5,1,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [7,2,5,3,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,7,3,2,5,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,6,1,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,3,4,7,1,6,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [8,5,7,4,2,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,7,4,1,8,6,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [6,3,7,1,5,2,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [4,1,3,7,8,2,6,5]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [7,1,4,8,6,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,3,4,2,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,2,7,5,8,1,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [7,3,2,5,1,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,1,4,2,3,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,5,2,4,8,7,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,5,2,4,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,7,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,1,5,8,3,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,3,8,7,1,5,4,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [4,3,8,1,5,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,1,4,5,8,2,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,1,3,2,4,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [7,8,1,6,5,2,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,4,8,6,5,1,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,7,8,6,5,1,2,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [8,4,5,7,2,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,8,2,7,3,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,5,8,2,7,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,2,7,3,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,1,3,6,4,2,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,3,8,2,7,5,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,5,7,8,3,2,1,6]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [5,7,3,4,2,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,7,4,2,3,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,4,7,3,2,8,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,8,3,2,4,5,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,4,6,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,3,8,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,8,2,3,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,4,6,8,2,3,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [5,6,8,4,1,2,3,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,4,8,5,1,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,8,3,1,2,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,8,2,3,1,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,4,7,8,2,1,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,8,6,3,1,2,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,5,2,1,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,6,1,3,2,4,8,7]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>5 [8,1,5,4,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,8,1,2,5,7,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,6,3,2,8,5,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [5,3,7,2,1,8,6,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [7,4,3,2,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,4,8,3,7,2,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,6,8,5,2,1,7,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,1,5,4,7,2,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [5,4,8,3,2,7,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,4,3,7,2,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,4,3,7,8,2,1,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [3,4,5,6,7,8,2,9,1]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>486 [4,1,8,6,2,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,3,4,8,1,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,8,1,7,4,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,6,3,1,5,8,7,4]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [7,1,3,2,6,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,7,6,4,5,3,2,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [2,9,8,7,5,6,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [6,1,3,5,8,7,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,5,8,7,4,6,2,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [6,8,5,7,3,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,3,6,8,4,2,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [5,1,6,8,4,7,3,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,2,8,3,4,1,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,4,1,8,7,6,3,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,3,8,7,5,1,6,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [8,5,4,7,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,7,2,4,1,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,8,5,1,7,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,2,4,6,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,7,3,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,2,3,5,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,5,6,8,2,7,1]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [8,2,3,4,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,4,3,8,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [3,8,2,7,6,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,3,8,6,2,7,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,2,1,4,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,8,6,7,2,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,7,2,4,6,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,7,1,4,6,5,3,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [4,7,1,2,6,5,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,2,5,6,8,7,3,1]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [6,5,8,3,7,4,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,2,5,1,6,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,3,5,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,1,3,5,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,5,7,6,4,8,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [3,5,7,4,6,8,1,2]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [6,5,8,4,3,7,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,7,3,1,5,2,4,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [5,2,4,1,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [2,1,7,4,3,8,5,6]=>[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [7,2,3,8,5,4,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,7,3,2,4,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,6,4,3,2,5,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [5,2,1,6,8,7,4,3]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [2,3,8,4,1,7,6,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,8,6,3,5,7,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,1,8,2,5,3,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,8,6,4,2,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,1,5,2,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,5,2,1,7,3,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,5,2,1,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,7,5,2,8,1,4,6]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [2,3,5,4,8,6,1,7]=>[1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>24 [2,3,7,6,1,5,8,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [8,3,2,4,1,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,6,1,2,5,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [4,7,1,6,8,5,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,1,8,6,3,5,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,5,8,6,2,3,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [5,4,8,6,3,7,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,7,3,4,8,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,6,4,2,7,8,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [6,5,2,3,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,5,2,3,1,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,5,3,7,4,1,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,4,7,5,3,8,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,7,6,4,8,3,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,7,4,8,3,1,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,1,4,7,5,2,8,6]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>16 [7,1,4,5,3,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,7,2,4,5,3,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,4,5,3,2,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [3,5,6,4,8,2,1,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [8,5,6,1,4,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,5,8,2,3,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,1,3,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,8,1,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,2,6,7,8,1,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [3,4,6,7,8,1,5,2]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [4,7,3,8,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,8,5,3,2,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,4,5,3,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,5,3,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,4,1,3,6,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,1,3,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,2,4,1,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,3,7,8,1,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,3,7,8,1,5,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,5,8,1,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,4,3,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,6,4,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,4,3,8,5,1,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [6,8,2,7,3,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,2,6,3,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,2,8,5,3,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,1,5,8,3,6,7,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [7,5,2,8,1,6,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,8,5,7,1,3,2,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,7,1,3,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,2,1,7,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,5,8,3,6,7,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [5,1,6,8,3,2,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,1,5,6,8,2,7,3]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [5,7,8,2,4,1,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,5,2,8,7,3,1,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,8,5,3,1,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,2,3,1,7,8,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,2,3,6,8,4,7,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [6,2,1,7,8,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,2,1,3,8,4,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,7,8,4,1,6,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,2,8,6,4,1,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,2,8,4,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,7,8,3,2,5,4,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [5,7,2,6,4,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,2,3,4,7,8,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [7,2,1,8,4,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,2,1,3,7,5,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,8,7,3,4,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,2,3,7,8,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,4,3,2,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,4,3,5,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,7,6,4,2,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,1,4,7,2,8,5,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [1,7,5,8,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [5,7,2,4,3,6,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,7,3,4,6,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [2,8,3,6,1,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,3,1,8,5,2,6,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [1,8,4,5,6,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,3,8,2,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,2,5,3,1,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,5,8,1,7,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,5,4,8,6,1,7,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [7,5,2,3,8,4,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,7,5,1,4,8,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [5,7,6,1,2,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [7,4,6,5,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,3,2,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,7,3,8,2,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [2,7,4,8,5,3,1,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [6,1,3,8,4,2,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,4,1,8,6,2,7,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,4,6,8,1,3,2,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [3,6,1,5,8,4,7,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,4,8,3,5,7,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,5,8,2,4,1,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [7,2,8,4,1,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,1,2,4,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,4,3,5,7,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,5,2,3,8,7,6]=>[1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>3 [6,3,5,8,2,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,8,7,1,4,6,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,5,3,7,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,5,6,2,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,7,6,2,8,1,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,3,8,1,2,5,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,6,4,8,5,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,6,5,3,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,5,4,2,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,9,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [7,5,4,8,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,7,5,9,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [8,7,6,4,9,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [7,6,5,3,2,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,7,6,5,3,9,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [8,7,6,5,4,2,9,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [3,2,1,10,7,6,9,8,5,4]=>[1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,3,6,5,2,1,10,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>1 [9,4,3,6,5,8,7,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [9,4,3,8,7,6,5,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [9,6,5,4,3,8,7,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,5,4,7,6,3,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [1,10,5,4,7,6,9,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,10,5,4,9,8,7,6,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,10,7,6,5,4,9,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,10,9,6,5,8,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,6,5,3,2,4,7,8]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,7,2,4,6,5,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,2,7,4,3,5,8,6]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,8,5,2,3,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,4,8,5,2,3,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,6,3,7,4,2,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [1,8,5,2,7,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,5,8,7,6,2,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,6,8,7,5,3,2,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,2,5,7,4,3,8,6]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>12 [1,5,8,6,3,2,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,8,5,2,6,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,3,7,5,4,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [7,5,2,6,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,8,2,7,5,4,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,4,8,6,7,1,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,7,3,6,8,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [3,7,2,8,1,6,4,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [8,5,2,4,6,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,5,8,7,1,4,3,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,4,6,5,8,2,7,1]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [5,2,4,1,6,7,8,3]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [4,2,7,1,6,8,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [5,2,8,6,4,7,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,1,3,4,7,2,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [8,4,7,2,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,5,2,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,4,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,6,7,2,8,4,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [8,6,1,4,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,2,6,7,4,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [7,1,3,6,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,1,4,5,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,4,7,5,2,3,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [6,1,7,5,4,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [2,7,3,6,5,1,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [8,6,5,1,3,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,6,2,4,8,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,5,6,4,8,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [7,6,8,1,3,5,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,8,4,6,1,7,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,6,4,7,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,1,4,6,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,8,6,7,1,4,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [6,5,2,4,7,8,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [7,2,5,8,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,2,8,3,4,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,4,3,8,7,1,6,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [1,5,8,7,4,2,6,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,3,4,8,6,2,7,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [3,4,5,8,6,2,7,1]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [5,6,4,7,3,8,2,9,1,10]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>120 [5,1,7,4,3,6,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [4,3,7,6,8,2,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [6,1,8,5,2,7,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,7,2,6,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,6,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,1,3,7,2,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [3,1,8,7,5,2,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,5,8,7,2,4,3,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,3,6,5,8,2,1,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [7,6,3,2,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,3,7,1,8,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,2,8,5,6,7,1,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,3,2,1,4,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,3,1,8,5,2,6]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,7,8,2,5,6,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [7,5,1,4,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,8,6,1,2,4,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,1,2,4,7,8,6,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [5,1,7,8,6,2,3,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [8,5,1,6,7,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,2,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,5,2,7,3,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,1,2,6,4,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,8,3,6,4,5,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,6,2,7,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,2,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,1,6,2,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,2,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,7,4,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,3,7,4,5,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,6,7,5,2,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,2,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,1,2,8,5,6,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [6,3,1,2,7,4,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,1,7,4,2,3,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [1,7,3,8,4,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,1,8,2,5,3,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,7,2,5,3,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,1,7,2,6,3,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,1,8,2,6,3,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,6,3,7,4,5,8,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [2,4,8,6,3,5,1,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [2,3,7,5,4,1,6,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>10 [3,4,6,2,1,5,8,7]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>18 [2,6,8,3,5,1,4,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,3,6,1,5,8,4,7]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>24 [2,3,7,1,6,5,8,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>20 [5,4,7,8,1,3,2,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [2,3,7,1,6,5,4,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>10 [5,7,3,2,8,1,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [3,6,8,5,4,1,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,4,7,8,1,3,6,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [2,4,8,3,1,7,6,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [7,2,3,4,5,6,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [2,1,9,4,5,6,7,8,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,3,4,5,6,7,1,9]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>7 [8,6,5,1,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,1,4,2,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,1,4,8,3,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,7,1,4,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,1,4,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,2,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,1,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,4,2,5,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,4,3,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,3,1,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,3,7,4,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,5,2,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,9,1,8,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,9,8,1,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [8,2,4,5,3,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,1,3,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,7,4,3,2,5,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [6,4,3,1,7,2,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,2,7,4,3,1,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,3,2,7,4,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [7,2,4,1,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,3,2,5,7,1,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [1,7,3,2,5,6,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [2,1,7,3,5,6,8,4]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,4,6,5,2,7,3,8]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>12 [5,2,7,6,1,8,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,8,2,6,1,7,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,5,8,3,6,2,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,7,1,4,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,2,7,8,3,5,6,4]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [4,8,7,6,2,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,7,4,5,8,1,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,6,1,8,5,4,3,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [5,8,6,2,3,4,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,2,1,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,8,6,2,1,3,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,4,7,5,8,2,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,3,7,4,2,5,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,2,1,5,8,4,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,5,6,2,4,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,2,8,5,3,6,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,1,7,4,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,7,8,4,5,6,3]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [8,2,1,4,3,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,3,1,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,2,3,1,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [3,1,8,6,7,2,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,2,8,5,3,6,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,8,6,3,5,4,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,5,2,8,6,4,7,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [7,3,5,1,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,8,2,5,6,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,1,4,8,5,6,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,8,4,6,1,3,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,4,6,2,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,6,2,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,7,6,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,2,7,6,1,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,3,7,6,2,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,6,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,4,7,1,3,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [2,8,5,1,4,7,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,7,6,3,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,2,5,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,5,8,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,4,8,5,6,2,7,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,8,2,3,4,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,3,4,2,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [1,5,6,3,2,4,7,8]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [6,3,5,2,4,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [7,8,3,5,2,4,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,5,1,3,4,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [5,7,4,3,2,6,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,8,7,4,3,5,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,6,7,8,4,3,5,1]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [1,7,8,4,5,3,6,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,1,8,5,3,4,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,4,2,1,6,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,1,4,7,3,6,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [7,4,8,6,3,5,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,7,6,3,5,2,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [6,1,3,8,7,5,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,6,2,1,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,3,6,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,5,6,8,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,6,7,5,8,2,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [7,5,4,2,1,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,6,7,4,2,8,5,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [4,6,3,2,7,8,5,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [7,6,1,3,4,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,8,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,2,5,4,6,1,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,2,4,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,2,1,5,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,8,5,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,8,5,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,8,4,6,5,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,8,6,3,1,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,6,1,4,5,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,5,6,4,3,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,1,3,8,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,6,3,2,8,1,7,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [8,2,6,3,1,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,6,7,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,3,4,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,3,2,4,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,2,3,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,7,2,8,3,4,5,1]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [3,1,8,4,6,5,7,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,1,2,3,8,4,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,1,6,7,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,4,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,4,5,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,2,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,4,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,2,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,4,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,5,2,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,1,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,7,5,8,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [8,7,1,4,6,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,6,4,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,8,6,4,1,7,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,10,1,2,3,4,5,9,6,7]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [10,8,1,9,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,11,1,9,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>10 [6,1,2,3,4,5,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [5,1,2,3,4,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [4,1,2,3,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [2,10,1,5,6,7,8,9,3,4]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [7,4,5,1,2,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,7,1,8,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [5,7,4,2,3,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [3,8,2,5,1,7,4,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,4,2,3,7,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,5,2,1,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,7,6,1,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,7,5,2,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,7,6,8,4,1,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [7,3,1,6,8,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,3,1,7,4,8,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [7,3,1,8,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,4,1,7,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,8,3,7,1,2,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,5,2,8,4,7,1,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [6,4,8,3,7,2,1,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,6,2,8,7,4,1,5]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,8,4,2,7,3,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [9,8,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,9,2,3,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,8,7,6,4,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,2,3,4,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [3,4,7,8,5,1,2,6]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [4,7,3,2,5,6,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [3,2,7,6,4,5,8,1]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [1,7,3,6,8,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [2,3,6,5,1,8,7,4]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>24 [8,3,1,2,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,2,4,3,5,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [3,6,4,7,1,2,8,5]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [5,7,4,8,1,3,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [4,3,7,8,1,5,2,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [8,5,4,2,6,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,7,5,1,8,6,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [6,3,1,2,8,7,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,2,1,3,8,7,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [7,2,1,5,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,5,8,2,4,3,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,3,6,8,1,5,2,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [5,4,6,8,3,1,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [3,6,8,4,5,1,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,6,1,7,2,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,2,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,3,7,6,1,8,5,4]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [3,2,7,8,6,4,1,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [6,2,8,3,1,4,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,1,2,8,7,4,5,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,8,7,4,6,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,8,7,4,5,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,6,8,3,2,4,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [8,5,1,7,2,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,7,3,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,6,2,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,3,2,8,7,6,4,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,8,7,6,4,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,4,3,1,6,5,8,7,10,9]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,7,2,4,6,3,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [5,7,2,8,4,1,3,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,6,2,8,4,1,3,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [2,4,8,3,1,6,7,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,5,8,4,2,1,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,5,8,3,1,4,6,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,8,1,3,5,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,4,7,8,3,2,6,1]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [3,4,8,5,7,1,2,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,6,8,2,5,1,4,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,6,8,7,2,5,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,4,6,5,8,2,1,7]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [2,4,6,7,8,3,5,1]=>[1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [1,6,8,3,5,4,2,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,5,8,7,6,3,2,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,2,7,6,4,3,5,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,8,7,5,2,4,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,5,2,4,6,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,4,2,5,3,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,8,4,7,5,2,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,5,2,3,6,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,5,2,6,3,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,4,6,3,2,7,5,8]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>12 [1,8,3,7,5,2,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,4,7,1,5,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,3,8,2,6,4,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,3,8,2,6,5,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,6,1,8,3,4,7,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [5,7,1,4,8,2,3,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,5,7,1,4,3,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [4,8,3,5,7,6,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,6,1,2,4,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [4,8,3,5,7,6,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,3,4,2,8,5,7,6]=>[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [5,7,6,2,4,8,3,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [6,7,5,2,3,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,5,3,8,4,2,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,3,1,4,2,6,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,1,6,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,4,1,8,2,6,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,3,1,8,2,6,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,7,1,5,2,6,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [6,5,1,4,2,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [1,8,7,3,4,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,9,3,4,5,6,7,2]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,7,4,5,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,4,2,3,1,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,5,2,8,1,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,8,6,2,3,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,2,1,8,5,3,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,2,3,5,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [2,8,6,4,5,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,4,6,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,1,8,3,2,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [1,8,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,8,3,1,4,5,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,1,7,2,8,4,5,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,3,2,1,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,4,2,7,8,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [8,7,4,5,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,7,8,1,3,5,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [5,1,8,4,3,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,2,8,1,4,5,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,6,7,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,3,6,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,4,6,5,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,7,6,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,8,1,6,7,2,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,2,8,6,1,5,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,7,2,5,8,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,8,4,1,5,2,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,2,8,3,5,1,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,7,4,5,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,8,2,5,3,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,7,5,4,1,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,4,5,6,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,5,2,8,1,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,1,8,7,4,5,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,8,7,1,6,3,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,7,5,3,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,6,8,7,2,3,5,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,7,2,5,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,2,8,3,5,4,7,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,5,8,2,3,6,7,4]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,7,8,5,4,2,3,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,8,4,2,3,6,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,7,3,2,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,4,8,3,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,8,3,6,4,5,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,4,7,3,2,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [8,2,3,7,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,2,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,1,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,1,5,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,3,2,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,8,7,3,4,6,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,5,1,3,7,2,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [8,1,7,3,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,3,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,7,3,4,2,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,1,2,4,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,8,5,3,4,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,6,5,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,3,6,4,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,5,3,6,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,5,3,7,8,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,8,7,1,2,6,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,3,4,7,1,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,1,7,3,8,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [6,1,3,2,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,2,1,3,4,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [4,2,5,8,7,3,1,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [8,3,4,1,6,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,8,5,7,2,1,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,6,4,8,5,7,2,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,8,4,7,3,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,8,7,3,1,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,5,8,2,1,7,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,4,3,8,7,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,1,3,2,6,8,7,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [6,1,3,8,7,2,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [1,2,8,4,5,7,3,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,2,1,8,7,6,3,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,6,3,8,7,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [2,5,8,4,7,1,6,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,8,5,3,6,7,1,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,5,3,4,7,6,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,1,3,6,4,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [8,1,7,3,5,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,3,2,5,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,2,4,8,5,7,1,6]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [8,1,2,4,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,5,8,3,1,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,2,1,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,2,8,5,3,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [8,7,2,4,1,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,3,4,8,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,8,3,1,4,6,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,8,3,7,6,4,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,2,6,3,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,7,2,6,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,2,1,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,7,1,6,3,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,2,8,7,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,2,1,8,7,5,3,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,8,7,4,5,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,8,3,4,1,5,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,7,3,8,4,2,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,3,6,2,8,4,1,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [2,3,6,5,4,8,1,7]=>[1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>24 [3,7,5,4,8,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [5,3,7,1,2,8,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [6,3,8,7,2,5,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,8,7,6,1,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [9,7,8,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,2,3,5,4,6,7,8,9]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [6,8,4,1,7,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,1,4,6,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,8,1,4,7,5,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [6,4,8,1,2,7,5,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,1,4,6,7,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,6,7,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,1,6,7,5,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,1,2,6,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,6,2,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,2,6,7,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,1,6,7,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,6,2,4,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,6,1,7,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,5,6,7,8,9,10,1,2]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>729 [3,6,4,8,1,5,2,7]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,6,8,4,1,5,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,7,1,4,2,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,4,1,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,6,5,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,8,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,6,1,3,5,2,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [2,5,1,4,8,3,7,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [6,1,2,5,4,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,4,1,7,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,2,5,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,5,6,8,3,1,7]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>162 [3,4,5,8,6,2,1,7]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [4,5,1,8,6,3,7,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [8,3,7,2,1,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,6,2,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,6,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,7,5,6,4,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,5,6,2,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,5,6,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,7,5,6,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,5,8,3,6,2,4,9,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>12 [8,6,4,9,3,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [8,6,5,4,3,9,2,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [8,9,6,7,4,5,2,3,10,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>16 [9,7,5,4,10,3,8,2,6,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [9,7,6,5,4,3,10,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [10,1,9,2,8,3,7,4,6,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,6,3,8,4,7,1,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,6,3,5,7,8,1,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [1,5,6,3,7,2,8,4]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>24 [1,5,8,3,4,2,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,1,4,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,5,1,4,2,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,1,6,8,3,7,2,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [3,8,5,2,1,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,5,4,8,2,6,7,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [5,4,7,1,8,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [7,5,1,8,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,2,8,1,7,4,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,2,5,6,8,7,3,4]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>18 [1,6,5,7,8,2,4,3]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [3,7,6,1,8,2,4,5]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [1,5,8,6,7,3,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,7,5,8,6,4,2,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [3,6,5,8,1,2,7,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,4,7,8,1,6,3,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,3,6,8,1,2,7,4]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,6,5,8,3,2,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,5,6,8,2,3,7,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [2,5,8,7,1,6,4,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,7,5,8,3,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [7,3,6,8,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,3,6,7,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,7,3,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,7,8,5,6,3,1]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [3,6,8,7,5,2,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,4,7,8,5,1,3,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,8,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,4,7,5,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,9,2,3,4,5,1,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [7,8,9,2,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [6,5,7,8,9,1,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>125 [7,6,1,2,3,5,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,8,7,5,1,6,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,6,4,2,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,7,5,2,6,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,7,5,1,2,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,7,1,4,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,7,4,2,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,2,4,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,5,1,4,3,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4 [5,3,8,2,4,6,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,8,3,2,6,1,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,8,2,1,4,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,5,8,3,6,2,7]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,5,8,3,6,1,2,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,7,8,5,2,3,1,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [6,2,7,8,1,5,3,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [2,7,1,3,8,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,6,7,8,4,1,3,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [2,6,7,8,4,3,1,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [7,1,2,3,4,5,8,6,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>2 [6,1,2,3,4,7,5,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>2 [5,1,2,3,6,4,7,8,9]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>2 [4,1,2,5,3,6,7,8,9]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [7,1,2,6,3,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,2,6,5,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,6,1,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,8,2,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,1,8,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,8,3,1,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,4,5,3,1,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,1,6,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,7,4,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,8,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,5,1,6,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,1,7,4,8,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [1,7,4,3,2,5,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,4,3,6,2,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [3,7,5,8,2,4,6,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [5,2,1,6,3,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [3,8,4,5,7,2,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,4,7,5,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,2,8,6,3,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,7,6,3,8,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [7,4,1,8,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,5,6,8,4,7,1,2]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [5,4,1,8,6,7,2,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,8,4,5,3,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,7,3,8,2,6,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,3,1,8,6,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,2,1,3,7,4,8,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,3,7,1,2,5,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,1,4,7,8,2,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [7,2,5,8,1,3,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,3,6,7,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,7,5,2,1,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,5,6,2,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,6,5,8,4,2,7,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,8,3,2,5,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,1,5,6,8,7,3,2]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [8,4,2,3,6,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,2,4,5,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [3,5,4,8,6,2,7,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [8,1,2,3,4,5,9,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [8,1,2,3,4,9,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [9,1,2,3,8,5,6,7,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,3,7,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,4,5,6,10,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [9,1,2,3,4,5,10,7,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [10,1,2,3,4,9,6,7,8,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,9,3,4,5,6,7,8,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,4,5,6,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,4,6,7,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,5,3,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,4,8,3,1,5,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,6,4,1,5,8,7,3]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [8,1,5,4,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,1,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,5,4,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,4,1,5,7,8,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [7,6,5,2,8,4,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,1,6,5,2,8,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [3,8,1,7,4,2,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,1,7,4,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,2,4,5,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,3,6,1,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,3,1,4,7,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,6,3,2,7,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,3,1,8,4,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [1,2,8,3,5,6,4,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,5,7,4,8,1,6,2]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [2,8,1,3,5,4,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,4,8,6,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,6,8,4,1,2,5,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,8,5,2,1,3,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [6,1,5,2,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,1,3,5,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,8,5,4,7,2,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,4,2,1,8,3,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,8,2,7,1,4,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,4,7,3,2,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,3,1,5,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,1,4,7,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,3,2,6,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,7,1,2,5,3,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [6,8,4,1,3,7,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,4,1,8,3,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,1,6,5,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,5,4,1,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,2,3,5,7,8,4]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [8,2,4,6,1,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,4,2,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,6,3,5,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,6,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,7,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,7,6,3,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,1,7,4,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,6,2,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,8,3,1,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,4,8,3,2,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,8,1,7,6,5,2,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,8,7,2,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,7,2,6,4,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,5,7,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,7,4,6,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,7,6,3,5,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,7,6,1,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,4,8,2,1,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,8,7,2,6,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,8,4,7,6,3,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,7,6,5,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,1,5,4,6,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,1,3,6,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,6,8,3,1,7,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [7,5,2,4,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,8,2,6,3,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,2,6,5,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,6,5,3,4,8,7,1]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [3,4,7,8,5,1,6,2]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [3,6,2,4,7,8,5,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [5,3,6,4,8,7,2,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,8,3,1,2,7,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,6,2,5,3,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,4,6,1,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,1,2,3,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,6,2,4,5,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,2,3,6,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,1,3,6,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,2,6,8,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,6,8,5,1,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,8,1,6,2,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,8,1,6,3,2,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [7,2,6,8,5,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,2,4,8,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,8,3,1,6,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,7,8,4,3,1,5,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [7,8,3,6,4,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,3,8,1,6,4,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,5,8,2,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,5,2,8,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,7,8,2,6,5,1,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,7,8,2,1,6,4,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [7,8,1,6,3,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,7,8,2,5,4,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [6,7,8,3,1,5,4,2]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [7,8,1,6,2,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,1,6,8,3,4,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [7,1,6,8,5,4,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,6,8,1,2,3,7,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [4,8,1,2,7,6,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,1,2,8,5,7,3]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,4,7,3,5,2,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,7,8,4,2,1,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,4,8,3,5,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,1,6,2,5,7,8,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>16 [6,2,1,4,5,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,2,1,5,7,3,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [3,9,1,4,5,6,7,8,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [6,1,3,7,2,8,5,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,4,5,8,3,7,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,1,4,3,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,8,4,3,1,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [8,1,5,2,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,4,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,5,8,7,4,3,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,4,7,2,3,6,8,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [3,1,2,6,7,8,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>9 [3,8,1,6,4,2,7,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,6,3,4,7,8,2,5]=>[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>9 [6,3,1,4,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [2,4,3,7,6,1,8,5]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>24 [3,1,7,6,5,2,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [1,4,7,6,8,3,2,5]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [7,2,1,5,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,3,1,8,6,2,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [3,1,5,2,8,7,6,4]=>[1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>12 [1,2,8,4,3,7,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,6,1,8,7,4,3,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [7,5,1,8,3,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,7,6,3,1,8,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [5,3,1,8,6,2,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,8,6,3,2,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,3,1,6,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,4,8,3,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,3,2,4,8,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,7,8,1,4,2,6,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,6,3,8,1,7,5,4]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,8,6,4,1,7,3,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,4,2,7,5,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,5,1,7,2,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [2,8,1,7,5,3,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,2,8,7,6,4,3,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,8,2,6,3,5,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,8,5,3,6,2,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,4,2,5,3,1,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,4,1,5,3,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,2,1,5,4,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [3,1,8,5,4,6,2,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,1,8,4,5,3,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,1,8,5,3,6,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,3,8,4,5,1,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,6,1,8,5,7,4,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,3,8,4,5,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,7,2,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,3,8,4,5,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,1,6,8,5,3,7,4]=>[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>10 [4,1,8,5,2,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,5,8,7,4,1,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,7,4,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,8,7,2,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,8,4,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,8,4,5,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,2,7,3,5,8,6,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,6,2,4,8,5,7,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,7,5,4,3,8,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [3,5,1,8,4,7,6,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,6,1,8,5,4,7,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,4,8,3,7,6,5,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,6,8,2,5,7,4,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,6,8,5,4,3,7,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [3,6,8,2,5,4,7,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,8,3,2,5,7,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,2,8,3,5,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,6,1,8,5,7,4,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [5,2,6,8,4,1,7,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,6,3,8,7,2,5,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,5,8,2,7,4,6,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,6,8,5,7,4,3,1]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,4,8,7,6,3,5,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [7,5,1,6,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,7,6,3,4,1,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [5,7,6,3,1,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [4,8,2,1,7,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,8,5,7,2,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,2,1,7,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,6,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,8,1,7,5,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,5,1,8,7,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [5,6,2,7,8,1,3,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [4,7,3,5,6,1,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,8,3,5,6,1,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [8,4,5,2,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,2,4,7,8,1,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [4,2,5,7,3,8,1,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [4,7,3,1,6,8,2,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,2,7,6,8,1,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [1,7,4,6,8,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,7,2,5,6,3,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [5,4,1,3,7,8,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [6,1,5,8,3,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,5,8,4,3,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,2,1,6,8,3,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,6,4,1,8,3,2,7]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [2,3,7,8,5,1,6,4]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [1,2,6,7,4,3,5,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [10,2,3,4,5,6,7,8,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,8,6,3,4,1,2,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,10,1,4,5,6,7,8,9,2]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>36 [11,2,3,4,5,6,7,8,9,1,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [6,9,7,3,4,5,1,2,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [6,2,3,1,8,5,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,6,2,3,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,9,1,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [7,10,8,3,4,5,6,1,2,9]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [5,9,6,3,4,1,7,2,8]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [4,5,2,8,6,1,3,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,4,8,2,5,6,1,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [9,7,2,3,8,5,6,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,8,3,6,7,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,2,7,5,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,3,2,5,8,4,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,6,7,2,8,4,1,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [5,8,3,6,4,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,3,8,5,2,7,1,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,8,4,5,1,6,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,5,8,1,3,4,7,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,1,8,7,4,2,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [4,6,1,3,8,2,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [8,6,1,2,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,7,8,3,2,4,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [5,4,2,8,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,1,4,2,8,7,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,7,2,6,8,4,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,6,5,2,7,8,3,1]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [5,4,6,2,7,8,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [5,1,8,6,4,2,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,2,1,8,5,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,4,6,2,3,1,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [6,5,7,8,1,3,4,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [2,1,7,6,8,4,5,3]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [6,4,7,2,8,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,3,2,7,8,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,6,7,9,1,2,3,8,4]=>[1,1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>375 [1,8,9,6,7,4,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,9,3,8,1,7,6,4,2]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [3,9,1,8,7,6,5,4,2]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [1,8,9,10,5,6,7,2,3,4]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,10,4,5,9,1,2,6,3]=>[1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0]=>196 [5,10,3,9,1,8,7,6,4,2]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [4,7,3,1,5,2,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,7,3,6,5,2,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,7,6,3,1,5,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [2,7,3,1,8,5,4,6]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,8,3,1,7,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,7,5,2,1,4,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,6,8,9,1,2,3,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>36 [5,4,6,7,8,9,1,2,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [1,7,4,8,6,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [3,8,5,2,6,1,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,4,8,5,2,6,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [8,1,2,6,5,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,4,2,5,6,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [6,8,7,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,8,6,1,4,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [3,6,1,5,2,7,8,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [7,1,6,8,3,4,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,1,2,6,3,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,8,4,7,1,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,7,8,4,2,5,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [1,4,3,2,5,6,7,8,9]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [6,8,2,7,5,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,4,3,7,6,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,3,8,7,1,2,6,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,8,4,5,7,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,3,8,5,7,1,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,3,4,8,7,2,1,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,3,8,4,7,1,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,8,7,1,4,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,2,8,7,1,6,4,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,7,8,3,1,6,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,8,5,1,4,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [3,5,8,7,4,1,6,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [7,4,6,8,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,7,8,1,3,6,4,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,8,1,5,4,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,7,8,1,4,5,6,3]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [3,6,7,8,2,4,1,5]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,5,7,8,6,3,1,2]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [5,4,6,8,7,3,1,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,5,8,6,7,1,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,7,6,8,2,1,3,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,6,8,2,4,1,5]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [5,4,7,8,6,3,1,2]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,5,7,8,2,6,1,3]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [4,5,6,8,7,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [5,7,3,4,2,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,1,5,3,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [1,8,6,2,5,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,4,1,7,5,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,2,7,4,8,3,1,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [2,8,5,1,4,3,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,2,7,5,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,3,4,5,6,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,6,5,8,7,1,3]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [5,2,6,4,8,7,1,3]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [5,4,7,6,8,2,1,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [6,4,7,5,8,3,1,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [4,2,7,5,8,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,3,7,2,8,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,3,6,2,8,5,1,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,3,7,6,8,5,1,2]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,3,7,6,8,2,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,3,7,2,8,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [4,2,7,3,8,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [5,2,7,6,8,3,1,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [6,2,7,5,8,4,1,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [3,7,8,2,5,4,6,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [6,7,1,3,2,5,8,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [8,7,6,4,1,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,5,3,4,8,1,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,3,6,2,4,1,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [7,8,6,2,3,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,8,2,6,3,7,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,2,3,7,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,6,2,3,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,5,6,4,3,8,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,4,3,7,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,5,7,6,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,6,3,5,4,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,7,6,3,8,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [7,4,2,5,6,3,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,2,7,5,3,8,4,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [2,4,8,3,7,5,6,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,8,3,7,5,6,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,2,5,8,3,7,4,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,7,3,8,2,5,6,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [8,2,5,6,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,4,1,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,2,8,4,3,1,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [6,7,3,2,8,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [4,7,8,3,1,5,2,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,5,8,1,3,2,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,7,8,1,6,3,2,5]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,7,1,3,8,6,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [2,6,7,4,3,8,1,5]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [3,7,6,4,5,8,1,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,2,8,3,4,6,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,7,2,8,5,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,3,8,6,4,5,7,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,6,4,7,5,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [3,6,2,8,7,4,5,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,6,2,8,4,7,5,1]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [2,3,8,5,7,4,6,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [2,3,8,6,7,5,4,1]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [8,5,6,3,1,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,1,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,3,4,6,2,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [3,5,1,8,6,4,2,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [7,5,3,8,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,3,8,6,4,2,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [1,5,8,3,6,4,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [7,5,8,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,5,8,6,3,4,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [3,7,5,8,2,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [5,7,8,1,4,6,2,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,1,2,5,3,4,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,1,2,3,5,4,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [6,1,2,5,4,3,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,7,3,5,4,1,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [8,1,6,7,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,4,1,6,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,5,4,1,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,6,4,7,3,5,8]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [5,7,8,3,2,6,1,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,3,4,5,6,9,8,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>64 [2,3,4,5,8,7,9,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>96 [2,3,6,5,7,8,9,4,1]=>[1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>216 [2,3,4,5,6,7,8,9,11,10,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>384 [2,3,4,5,6,7,10,9,8,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>128 [2,3,4,5,6,9,8,10,7,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>192 [8,4,5,1,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,3,7,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,6,8,1,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,1,8,6,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,4,5,6,7,1,2,8,9]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>81 [2,7,3,1,4,8,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [4,3,1,5,8,7,6,2]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [4,7,1,3,2,5,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,6,8,3,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [5,4,8,6,1,7,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,5,4,7,1,8,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [7,1,5,4,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,3,6,4,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,1,3,8,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,1,8,7,3,6,5,4]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,8,6,3,1,2,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,7,1,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,4,2,1,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,4,2,1,8,7,3,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,2,1,5,4,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [2,5,3,6,7,8,4,1]=>[1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>108 [1,8,6,2,4,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,3,4,7,5,8,6,1]=>[1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>48 [6,5,2,8,7,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,8,5,4,2,1,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,5,2,8,6,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,8,3,2,6,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,2,6,3,7,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,2,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,2,7,8,4,5,3]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [8,6,2,7,5,4,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,8,2,7,5,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [7,6,3,2,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,1,7,4,3,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [8,6,3,7,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,6,4,2,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,2,8,6,4,1,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,6,3,4,2,5,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,2,7,6,3,5,8,4]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [8,1,3,2,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,7,2,8,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [3,2,7,5,6,1,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [7,5,6,1,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,4,1,8,2,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,5,1,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,6,1,4,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,2,7,6,8,3,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [4,2,8,3,6,5,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,1,4,3,5,2,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,8,5,7,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,5,7,1,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,5,7,3,4,1,8,2]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [5,2,7,6,8,1,4,3]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [7,5,6,1,8,2,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,6,1,8,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,8,1,6,3,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [10,5,9,4,8,3,7,2,6,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,3,6,5,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,5,8,4,6,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,7,1,2,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [7,1,4,2,3,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,7,5,6,8,1,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [8,1,2,5,3,7,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,2,4,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,2,4,3,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,6,2,5,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [4,6,7,2,5,1,8,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [3,6,2,5,1,7,8,4]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [3,8,5,2,4,7,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [10,3,1,5,6,7,8,9,2,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,4,1,5,6,7,8,9,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,1,4,2,5,8,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,5,1,2,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,8,1,4,3,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,2,3,8,6,4,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,2,3,8,7,4,1,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,7,6,3,1,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [4,6,2,7,8,1,3,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [6,2,3,7,1,4,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [8,4,6,2,1,3,5,7,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [4,6,7,8,2,1,3,5]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [8,6,3,2,1,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,4,1,7,8,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [8,6,4,9,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [8,6,4,2,9,7,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [7,4,8,5,9,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>30 [9,7,10,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,5,10,8,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,5,3,10,8,6,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [6,1,3,4,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [5,1,3,6,2,4,8,7]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>3 [5,7,1,3,8,4,2,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [2,6,1,4,3,7,8,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [1,6,2,4,3,5,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [5,3,7,6,1,8,4,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [1,5,6,3,7,8,4,2]=>[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>36 [7,3,5,6,1,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,6,1,5,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,6,3,7,8,5,4,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [1,7,8,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [3,7,5,6,1,8,4,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [5,6,2,8,4,7,3,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,7,6,3,4,8,1,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,5,4,6,1,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [5,3,4,7,6,8,1,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,3,7,4,6,1,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [7,3,5,4,6,1,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,8,3,5,4,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,3,5,4,1,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,7,6,3,4,1,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,6,1,3,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [7,8,3,1,2,5,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,5,1,3,2,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,5,6,1,3,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,1,3,8,6,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,1,3,8,2,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,7,6,1,3,8,2,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,6,3,8,1,4,2]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [5,1,3,7,6,2,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,3,2,4,8,1,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [6,8,5,3,2,7,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,3,7,2,6,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,1,5,3,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,4,8,7,3,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,1,3,4,2,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,5,2,3,7,8,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,4,2,1,8,3,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [3,1,7,4,2,6,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [7,4,8,2,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,4,1,3,2,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,3,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,5,2,7,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,4,5,9,6,7,8,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>40 [2,3,4,5,6,7,10,8,9,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>128 [2,3,4,5,9,7,6,8,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>40 [2,9,4,3,5,6,7,8,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,3,4,5,9,7,8,6,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>40 [6,2,4,7,3,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [4,8,5,1,2,6,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,6,7,5,1,2,8,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [7,2,8,1,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,4,7,3,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [7,1,6,3,4,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,8,4,6,3,1,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,6,3,5,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,4,1,5,8,2,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,8,4,1,7,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,7,5,1,3,8,2,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [8,5,1,3,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,2,4,1,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,2,4,1,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,6,2,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,1,3,7,2,8,4]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [5,6,1,8,2,3,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,6,1,2,8,4,7,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [3,7,8,1,6,4,2,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [1,7,8,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,7,3,8,6,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,8,1,5,6,4,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,8,5,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,5,8,6,4,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,1,3,5,6,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,6,5,3,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,1,5,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,6,2,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,1,2,3,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,8,4,1,3,5,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [6,8,1,2,3,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,1,3,5,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,5,3,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,6,2,5,8,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [5,2,7,3,4,8,1,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,2,1,6,5,7,8,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>12 [2,7,5,4,1,3,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,7,4,6,5,1,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [6,8,7,5,2,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,6,3,5,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,2,8,6,4,5,3,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,5,8,7,6,3,4,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,6,8,5,2,7,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,5,4,2,3,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [3,5,8,7,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [6,5,3,7,4,1,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [3,1,5,4,6,8,7,2]=>[1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>18 [3,6,1,4,5,7,8,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [1,8,4,7,2,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,8,2,4,6,1,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,4,2,3,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [3,8,1,6,4,2,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,3,2,1,8,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,7,2,4,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,3,5,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,3,7,4,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,3,1,7,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,7,8,6,2,5,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [4,8,1,2,6,5,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,1,8,3,7,2,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [2,8,1,6,5,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,1,2,5,7,6,8,3]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>12 [1,8,5,2,3,4,7,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,9,6,2,3,4,5,8,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,2,3,4,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,2,7,8,4,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [4,3,8,7,6,2,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,4,8,2,7,6,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,3,7,1,5,8,4,6]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [4,3,2,6,5,8,1,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [4,6,1,7,5,8,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [4,1,5,7,6,8,3,2]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [4,2,5,7,6,8,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [1,2,3,4,5,7,6,8,9,10]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1 [5,8,1,4,2,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,8,2,3,1,6,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [3,5,4,8,1,7,2,6]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [5,3,6,8,1,4,7,2]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [3,5,1,8,6,4,7,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [4,7,2,8,3,1,6,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [1,2,5,6,8,3,7,4]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>18 [5,3,8,4,6,2,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,4,8,1,5,2,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,3,2,1,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,5,6,8,7,2,3]=>[1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>54 [1,2,5,6,8,4,7,3]=>[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>18 [5,6,8,1,2,4,7,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,8,1,4,5,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,6,8,2,3,4,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [9,8,7,4,5,6,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,5,1,2,4,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,8,7,2,1,3,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,7,2,8,6,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [6,1,5,3,4,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,8,6,3,2,1,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,1,6,3,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,1,7,8,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [8,6,7,1,2,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,1,4,8,2,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,2,8,1,7,5,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,4,3,1,7,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,7,8,4,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,4,3,1,8,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,8,1,6,3,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,8,1,7,3,4,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,5,6,7,8,9,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [1,5,6,7,8,9,10,2,3,4]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1024 [3,4,2,1,5,6,7,8,9]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>3 [4,3,1,2,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [5,3,1,2,4,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [4,3,1,2,5,6,7,8,9,10]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [4,6,5,3,8,2,7,1]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [4,5,6,3,8,1,7,2]=>[1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>96 [7,8,3,5,2,1,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,3,7,5,2,4,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,2,4,5,7,3,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,8,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,3,7,5,1,4,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,1,7,3,4,2,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [2,8,7,6,3,5,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,1,5,6,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,5,6,2,8,1,7,4]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [5,3,1,8,6,2,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,1,5,7,3,8,2,6]=>[1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>54 [6,2,5,8,4,7,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,2,8,5,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,1,6,8,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,6,5,7,4,1,8,2]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>80 [3,6,7,5,8,4,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [7,2,8,4,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,3,8,5,4,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,4,3,1,2,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [6,5,4,3,1,2,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [8,5,4,3,9,1,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [6,5,4,3,1,2,7,8,9,10]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [7,6,5,4,3,1,2,8,9,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [9,6,5,4,3,10,1,2,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [6,8,7,3,2,4,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,1,4,5,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,5,8,6,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,6,3,8,5,1,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,3,1,8,4,6,5,7]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [2,3,1,8,4,6,7,5]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [6,2,3,4,5,1,9,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>1 [2,3,4,5,9,7,1,8,6]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>40 [2,3,4,5,6,7,10,9,1,8]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>128 [2,10,4,1,6,3,8,5,9,7]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [2,10,4,1,6,3,8,5,7,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [2,10,4,1,6,3,5,7,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [2,10,4,1,3,5,6,7,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [5,8,7,2,6,4,1,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,5,1,7,4,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,2,7,4,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,3,8,6,5,2,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,1,6,4,3,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,5,8,2,6,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,3,2,8,1,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,1,3,4,5,6,8,7,9]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [2,3,4,5,6,8,7,9,1]=>[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>96 [2,6,8,7,1,3,5,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [5,3,8,7,6,2,1,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,7,6,1,4,5,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [7,6,2,5,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,5,3,1,2,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [5,7,6,2,3,1,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [7,5,4,1,3,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,4,8,5,6,3,1,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,7,4,1,3,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [2,6,8,4,5,3,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [5,2,3,7,4,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,3,4,8,7,6,2,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,3,1,6,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,5,7,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,6,7,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,5,7,2,4,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,6,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,5,3,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,8,3,4,7,6,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,8,5,2,7,1,3,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,6,4,5,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,4,7,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,5,1,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,5,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,3,4,7,2,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [8,1,7,3,6,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,5,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,4,3,1,5,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,7,4,3,8,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [2,7,3,4,8,5,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,6,8,3,5,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,7,4,5,3,8,6,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [6,2,3,7,4,5,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,3,5,2,6,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,2,7,1,5,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [1,8,7,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,2,5,4,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,8,3,5,2,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,2,8,3,6,5,4,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,8,6,5,2,4,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,8,4,3,2,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,7,5,3,2,6,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,3,2,8,4,6,5]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,8,3,7,2,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,4,2,8,7,6,1,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,6,3,2,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,1,6,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,2,6,1,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,8,5,2,7,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,5,1,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,5,7,2,1,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,5,8,2,7,4,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,1,7,5,8,4,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [3,5,6,2,8,7,1,4]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [1,6,5,3,4,7,8,2]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [4,2,6,7,8,1,3,5]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [5,1,7,2,6,4,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [4,1,7,6,5,8,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,7,2,1,6,5,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [2,7,6,4,1,5,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [7,5,2,4,1,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,5,1,3,7,8,2,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [7,2,1,4,3,5,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,2,4,3,7,8,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [8,1,5,4,2,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,4,6,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,2,6,5,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,6,1,2,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,4,5,2,3,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,1,4,8,7,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,8,5,7,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,6,7,5,8,3,4,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [6,1,7,5,8,2,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,1,4,7,8,2,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [8,1,2,3,7,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,6,1,2,4,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,6,8,7,5,3,4,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [6,1,8,7,5,2,3,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,3,1,2,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,2,4,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,1,2,4,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,7,1,4,2,3,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,1,7,4,8,2,3,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,7,8,5,1,2,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [8,6,5,4,3,2,7,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,9,5,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,6,5,4,3,2,7,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,2,3,4,5,6,1,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [4,3,8,5,6,2,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,3,8,6,7,2,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,6,8,1,5,3,4,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,6,1,5,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,3,8,1,7,2,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,5,4,8,2,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,2,5,4,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [8,3,6,7,5,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,6,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,1,8,5,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [4,6,8,2,3,5,1,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,8,2,1,3,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,5,8,6,2,1,4,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,4,8,5,6,1,3,7]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,8,2,5,6,1,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,4,2,7,6,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,8,5,3,1,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,7,8,4,6,3,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [8,7,2,4,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,2,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,4,6,5,2,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,3,6,5,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,2,8,6,5,7,4]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,8,2,7,5,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,7,1,4,5,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,7,4,6,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,7,4,6,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,4,1,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,3,2,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,6,2,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,8,4,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,8,6,4,7,2,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,2,6,5,8,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,6,8,5,7,4,2,1]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,7,5,2,4,8,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [8,1,2,7,5,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,3,4,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,5,4,8,1,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [8,3,5,6,4,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,2,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,8,1,3,4,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,8,4,5,1,3,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,4,8,7,5,3,2,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,7,1,4,3,2,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,2,5,1,4,8,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,8,1,3,4,2,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,1,5,2,8,7,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,6,5,3,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,5,8,2,1,4,6,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,5,8,2,4,6,7,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,3,8,2,1,4,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,1,8,2,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,3,8,2,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [1,5,8,4,2,3,6,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,2,1,4,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,4,1,6,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,4,6,3,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,2,4,3,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,4,6,2,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,5,8,4,6,7,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,4,6,7,2,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,2,4,6,3,7,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,8,4,6,7,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,4,6,7,2,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,4,3,6,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,6,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,4,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,4,5,7,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,2,4,5,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,4,2,3,5,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,8,1,6,2,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,2,1,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,2,4,1,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,6,2,4,5,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,3,6,2,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,6,2,4,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,7,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,7,2,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,6,4,5,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,4,6,7,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,4,6,2,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,2,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,1,6,3,5,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [8,4,2,1,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,4,7,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,8,5,1,7,4,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,1,5,8,7,3,6,4]=>[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>10 [4,3,1,7,8,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16 [5,6,8,2,4,3,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [2,8,5,3,6,4,7,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,2,8,6,4,7,3,5]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,3,2,7,8,6,4,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [4,2,7,8,3,5,6,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [2,8,3,7,1,4,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,3,5,6,4,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,8,4,2,7,6,5,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,3,2,7,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,2,4,8,7,5,6,1]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,6,8,1,5,3,4,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [3,8,1,6,4,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,1,3,6,5,4,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,3,6,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,1,5,3,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,7,2,3,1,4,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [7,1,5,2,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,2,7,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,4,7,5,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,1,5,8,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,5,8,7,3,1,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,8,5,1,7,4,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,6,4,7,5,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,4,6,3,8,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [1,2,8,6,4,7,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [3,4,5,6,1,2,7,8,9]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>27 [4,1,8,6,3,7,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,4,3,1,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,3,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,2,1,5,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [5,3,7,4,2,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,3,7,4,2,6,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,3,8,4,2,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,8,4,3,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,1,8,4,3,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,7,4,3,6,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,2,7,4,3,6,8,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,3,7,4,1,6,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,2,7,4,1,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,2,3,7,4,8,5,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,2,3,7,4,8,1,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,2,3,7,4,5,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,1,3,7,4,5,8,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [1,2,8,6,4,3,5,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,3,7,4,5,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [1,8,6,3,5,4,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,6,1,8,5,3,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [4,5,7,8,1,6,3,2]=>[1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>200 [2,5,7,8,4,6,3,1]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [1,8,2,7,5,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,5,4,1,8,6,7,3]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [5,6,8,3,4,2,7,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [7,3,5,1,4,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,3,2,4,5,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,8,7,1,4,2,5,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,1,7,8,2,4,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [8,5,4,6,1,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,2,4,8,1,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,3,2,4,7,1,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [8,4,5,3,7,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,7,3,5,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,2,4,6,8,1,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [1,2,4,3,5,7,8,9,6]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>4 [2,7,6,3,1,4,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [3,7,4,5,6,8,2,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [8,7,1,4,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,8,3,7,1,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,3,5,8,1,6,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [8,4,3,5,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,6,4,2,5,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [7,6,4,2,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,2,4,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,4,3,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,4,1,3,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,6,7,2,5,1,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [3,5,1,7,8,4,6,2]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [8,1,2,4,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,8,5,1,7,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,1,3,2,8,5,7,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,5,3,2,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,4,2,5,8,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [8,5,4,2,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,1,6,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,5,1,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,7,1,4,6,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,7,2,6,1,4,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [3,8,5,7,6,1,2,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,4,7,5,2,1,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,4,7,2,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,2,7,4,6,8,3,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [4,8,6,3,7,2,1,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,3,1,7,6,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,7,2,1,6,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [4,7,8,5,1,6,2,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,5,2,1,6,7,8,3]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>32 [4,5,6,3,1,7,8,2]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>64 [3,5,6,7,4,1,8,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>192 [1,8,4,2,3,7,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,2,8,6,7,5,4,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,7,5,4,3,2,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [8,5,9,10,1,3,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,5,9,10,3,6,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,5,9,10,1,3,6,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,5,9,10,3,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,5,9,10,3,6,2,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [3,8,5,7,4,6,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,6,2,4,5,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,7,4,5,2,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,5,2,4,1,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [7,6,3,2,5,1,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,2,7,8,3,6,1,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [4,6,3,7,5,8,2,1]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [4,2,5,7,8,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>72 [3,6,8,4,5,2,1,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,2,5,7,3,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,5,8,7,6,3,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [6,7,2,4,5,1,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [5,2,7,8,3,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [7,2,8,3,1,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,3,4,1,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,4,7,8,1,3,6,5]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [8,5,1,2,3,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,8,3,1,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,7,2,5,1,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,3,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,1,2,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,5,1,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,2,7,1,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,4,8,2,1,7,6,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,8,4,2,1,7,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,4,1,7,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,7,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,6,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,7,6,2,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,2,4,8,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [7,3,8,2,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,1,7,8,3,6,2,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [7,2,8,4,1,3,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,7,3,2,8,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,2,1,7,3,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,8,2,1,3,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,4,2,8,3,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,4,2,8,3,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,8,5,2,1,4,3]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [1,6,2,7,8,4,3,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [10,1,9,5,6,7,8,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,10,8,6,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [8,1,9,10,7,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [10,1,8,9,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,1,10,5,6,7,8,9,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,11,9,6,7,8,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>9 [11,1,10,9,2,3,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [7,3,4,1,8,6,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,7,6,3,5,8,2,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,7,6,5,2,4,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [1,6,7,8,3,2,5,4]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [6,8,2,3,5,7,4,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,7,1,4,6,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,3,1,4,7,8,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [9,8,7,6,5,1,3,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,1,4,5,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,7,1,5,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,8,7,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,1,6,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,7,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [4,5,7,1,8,6,2,3]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [4,3,8,6,5,2,7,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,3,8,6,5,1,7,4]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [5,4,7,3,1,2,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [7,6,2,1,5,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,2,6,1,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,6,8,5,4,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,7,5,6,2,4,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [5,3,4,2,7,1,8,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [5,6,8,2,1,3,4,7]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,5,2,1,3,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [2,4,3,5,6,8,1,7]=>[1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>36 [6,3,2,4,8,5,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,3,1,2,7,8,4,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [8,4,7,1,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,1,8,5,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,6,7,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,4,2,3,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,7,6,2,8,3,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,1,5,6,3,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,1,3,8,5,2,7,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [1,8,5,4,7,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,5,6,4,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,3,8,6,5,1,7]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [3,1,4,5,8,6,2,7]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [1,8,3,2,5,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,1,7,3,2,8,4,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [5,7,8,1,3,2,4,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [8,2,4,1,6,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,6,2,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,4,8,3,6,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,8,6,1,3,5,4,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,7,5,8,4,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,3,1,2,7,8,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [8,2,7,5,3,4,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,1,2,8,7,5,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,4,7,2,6,3,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,5,7,8,3,6,4]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>24 [7,6,3,4,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,6,2,3,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,5,8,1,7,2,6]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [6,3,4,2,7,8,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,6,3,7,8,2,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [8,6,3,4,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,8,6,7,5,1,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,5,6,2,7,8,3,1]=>[1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>144 [4,5,6,2,1,7,8,3]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>64 [6,8,7,2,3,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,7,2,1,3,8,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,5,4,1,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [7,1,5,4,2,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,5,6,3,7,2,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,5,4,3,1,2,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [9,8,7,6,5,4,3,2,1,11,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [8,7,6,5,4,3,1,2,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [7,6,5,4,2,1,3,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [7,6,5,4,1,3,2,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [9,8,7,6,5,3,2,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,5,2,4,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,7,4,5,6,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,3,4,6,8,1,7,5]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>72 [2,3,4,8,6,7,9,5,1]=>[1,1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>60 [8,3,4,5,6,7,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [2,3,4,5,7,9,1,8,6]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>144 [9,3,4,5,6,7,8,10,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [7,3,4,6,2,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,7,6,5,2,8,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [7,5,4,1,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,5,2,1,7,6,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,3,6,4,1,8,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [7,2,1,8,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,3,5,4,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,5,6,4,3,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,6,7,1,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,7,6,4,8,2,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [3,7,6,4,2,8,1,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [8,6,1,4,3,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,5,1,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,4,7,6,8,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [8,4,1,3,7,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,1,6,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,2,6,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,4,3,7,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,1,4,3,2,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,4,3,8,2,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [6,7,4,1,3,2,5,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,8,1,4,3,2,5,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,8,4,5,3,6,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,3,1,8,6,5,7,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,3,2,7,5,1,8,6]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [2,1,7,4,3,6,8,5]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [7,1,2,4,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,8,7,1,4,5,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,7,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,3,1,4,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,6,4,2,5,7,8,3]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [6,5,3,4,1,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,8,2,3,1,5,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,3,1,4,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [7,2,1,3,5,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,3,6,4,5,8,1,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,3,7,5,8,2,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [5,2,4,7,8,6,3,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,4,8,7,2,3,1,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,1,4,5,3,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,1,4,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,2,1,7,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,5,7,2,1,8,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [7,4,1,3,8,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,6,8,4,1,7,2,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,1,8,4,7,6,3,5]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [2,7,5,6,8,4,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [7,5,6,3,8,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,6,2,7,4,5,8,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [7,4,2,6,1,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,1,6,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,4,5,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,2,7,6,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,1,2,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,6,1,2,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,6,2,1,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,1,6,2,4,3]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [7,9,6,8,4,5,2,3,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [7,9,5,8,4,6,2,3,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [7,9,5,8,3,6,2,4,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [6,8,4,7,5,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,9,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [7,9,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [7,9,8,5,6,3,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [6,9,5,8,4,7,2,3,1]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [7,9,4,8,3,6,2,5,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [7,9,5,8,2,6,1,4,3]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [6,8,2,7,1,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,9,5,8,3,6,4,2,1]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [8,10,6,9,4,7,2,5,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [6,8,7,4,2,5,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,9,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [8,10,6,9,4,7,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,9,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [8,10,6,9,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [9,7,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,10,9,6,7,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [6,8,4,5,7,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,2,5,1,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,5,4,3,2,7,1,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>2 [5,4,3,2,6,1,7,8,9]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>2 [4,3,2,5,1,6,7,8,9]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [3,2,4,1,5,6,7,8,9]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>2 [5,8,4,7,1,3,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,7,1,3,5,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,8,1,3,5,7,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,3,2,7,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,3,1,5,4,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,1,2,5,3,7,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,8,3,4,6,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,7,1,6,4,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [4,3,5,8,6,1,7,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [4,2,8,3,6,7,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,1,7,8,5,6,2,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [6,2,1,7,5,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [3,7,1,8,5,2,4,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [4,2,8,6,7,1,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,1,2,4,7,3,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [4,2,8,1,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,8,9,3,2,1,4,5,10,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>98 [5,2,6,3,7,8,4,1]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [2,6,1,5,7,8,4,3]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [5,1,6,4,7,8,2,3]=>[1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>36 [8,4,6,3,7,5,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,6,8,2,3,5,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [5,7,4,8,1,2,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [3,6,7,5,8,1,4,2]=>[1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>200 [3,7,5,6,8,2,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [2,7,1,6,8,4,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [1,4,7,5,8,3,6,2]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [2,6,8,7,3,5,1,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [4,7,8,6,2,5,1,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,8,7,3,5,6,2,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,7,6,3,5,4,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [4,3,8,1,6,5,7,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,8,7,1,4,6,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,2,5,1,3,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [2,6,5,1,3,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [8,1,5,6,2,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,5,1,2,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [5,7,1,4,3,2,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [7,8,5,3,2,1,6,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,2,6,7,8,4,5,3]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [6,1,4,8,2,7,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,2,3,7,1,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [7,2,3,1,8,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,4,5,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,2,5,7,4,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [5,7,3,8,1,2,4,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [2,6,7,8,3,1,4,5]=>[1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>125 [6,3,2,5,1,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [4,6,3,7,8,2,1,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [5,6,7,1,8,4,2,3]=>[1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>100 [1,7,8,4,6,5,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,7,3,2,8,6,5,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [3,7,1,2,8,6,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [2,7,8,1,6,5,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [8,1,5,7,3,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,2,7,6,3,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,4,7,6,3,1,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,2,4,7,6,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,4,6,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,1,8,2,6,7,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,6,8,1,4,3,7,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [4,1,8,2,6,7,3,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,1,7,3,5,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,2,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,4,8,6,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,8,1,6,2,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,8,4,5,3,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,5,3,2,8,4,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,2,5,3,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,6,1,3,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,2,4,5,3,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,1,5,4,7,2,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,8,5,4,7,1,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,6,8,4,2,5,7,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [7,5,8,1,3,4,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,8,5,4,2,6,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,8,5,4,6,2,7,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,8,4,1,6,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,5,1,7,2,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [4,8,1,3,7,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,3,1,2,8,7,6]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [6,4,2,3,1,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,5,2,1,3,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,6,1,8,2,5,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,4,2,3,7,6,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,8,1,2,4,3,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [1,7,6,8,3,5,4,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [5,7,6,4,2,1,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,5,7,4,1,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [4,6,1,8,3,5,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [7,1,6,8,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,7,1,8,3,2,5,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,8,3,6,1,5,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,7,8,6,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [3,2,8,6,4,5,1,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,4,3,6,2,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,8,7,4,3,5,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [3,1,2,6,8,7,5,4]=>[1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>6 [5,7,4,2,1,8,6,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [8,6,5,7,2,4,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,1,8,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,6,3,8,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,4,8,1,6,3,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,8,3,6,2,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,8,2,3,5,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,6,8,2,5,7,1,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,4,8,2,5,7,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,2,4,5,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,8,2,4,7,3,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,4,6,2,7,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,4,2,7,1,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,2,4,1,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,5,1,6,2,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,4,8,5,6,7,3,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,2,3,7,6,1,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,6,2,3,8,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,7,2,3,4,1,6,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,2,7,3,5,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,2,6,3,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,2,3,1,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,5,2,3,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,5,2,1,4,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,2,3,1,6,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,3,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,3,1,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,7,3,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,3,2,5,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,8,1,4,6,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,8,1,5,6,3,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [6,8,2,3,1,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,2,3,1,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,2,1,4,6,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [4,2,3,8,1,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,1,3,8,4,6,7,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,3,2,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [6,1,3,4,2,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [7,2,1,3,5,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,8,7,2,3,4,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [10,9,11,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>9 [3,7,2,8,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [5,2,3,7,4,6,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [6,2,7,3,4,5,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [3,8,4,5,2,1,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,7,6,3,4,5,1,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [2,8,7,5,1,3,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,1,10,3,4,5,6,7,8,9]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,2,3,10,5,6,7,8,9]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,2,3,4,5,10,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [4,5,7,2,8,3,6,1]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [9,7,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,6,3,8,5,2,7,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,5,2,9,6,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [9,5,1,6,2,7,3,8,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,5,1,8,4,7,3,6,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,6,2,9,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [9,4,7,2,5,8,3,6,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,4,6,1,8,3,5,7,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,3,5,7,2,9,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [7,2,8,3,9,4,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>30 [8,3,7,2,9,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [9,3,6,5,4,7,1,8,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,2,9,3,6,5,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,2,7,4,5,6,3,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,4,2,9,7,5,3,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,4,1,8,5,2,9,6,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,6,3,8,5,2,10,7,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [9,5,1,7,3,10,6,2,8,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [10,6,2,7,3,8,4,9,5,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,5,8,3,6,1,9,4,7,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,4,7,2,10,5,8,3,6,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,5,7,2,8,3,9,4,6,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,3,5,7,1,10,4,6,8,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [10,4,6,8,2,9,3,5,7,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,4,5,6,7,1,8,2,9,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,3,8,2,10,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [9,2,7,6,5,4,10,3,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [10,3,7,6,5,4,8,1,9,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,2,10,3,7,6,5,4,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [5,2,1,3,6,7,8,4]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [7,5,2,6,1,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,1,5,2,7,8,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,2,1,5,8,4,7,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,5,6,8,4,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,3,7,5,1,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,7,3,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,6,4,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,7,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,2,7,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,2,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,3,2,6,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,2,3,5,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,5,3,7,8,1,6,2]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [8,3,4,1,5,7,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,2,8,6,7,4,1]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [5,3,7,4,2,8,6,1]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [7,4,8,2,3,5,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,6,2,8,7,1,4,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [7,2,5,8,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,3,1,4,6,7,8,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>8 [4,6,7,1,3,5,8,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [7,1,3,8,4,5,2,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,8,3,4,6,2,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,3,2,7,5,8,4,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [6,2,7,1,4,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [2,5,4,1,3,6,7,8]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4 [5,4,1,2,6,7,3,8]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>4 [6,5,2,7,4,1,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,5,7,3,1,4,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,7,4,3,1,5,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [4,2,5,6,7,8,9,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>243 [7,4,5,6,2,1,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,2,5,6,7,8,9,10,1,3]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>729 [6,4,5,2,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [3,7,5,6,2,1,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [1,7,6,3,8,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,4,1,2,7,8,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,4,1,3,5,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [5,1,8,3,4,6,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,8,2,3,7,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [7,3,4,8,2,5,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,8,1,5,4,2,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,7,2,5,1,6,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [6,5,4,7,2,8,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [3,2,4,6,5,8,1,7]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>18 [3,5,4,8,7,1,6,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [7,5,2,1,6,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,3,1,7,4,2,5,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [8,7,2,1,5,3,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,3,7,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,2,8,1,5,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,3,6,4,1,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,6,1,4,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,7,2,6,3,8,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [8,4,1,2,3,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,3,2,7,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,7,3,6,4,1,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [7,2,4,3,8,1,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,5,4,6,1,3,8,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>12 [2,4,3,5,8,1,6,7]=>[1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>24 [5,8,2,6,7,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,2,4,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,5,8,2,7,3,4,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,7,6,8,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,1,2,4,3,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [4,6,1,3,7,8,5,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [8,4,1,5,2,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,2,6,8,7,1,4]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [6,3,5,2,7,1,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [8,5,2,6,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,8,7,1,4,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,5,3,1,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,5,1,2,3,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,6,1,5,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,2,6,1,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,4,7,1,2,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,8,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,4,7,1,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,4,1,6,2,7,8]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>2 [2,7,1,4,6,3,5,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [7,3,1,6,5,2,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,5,2,4,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,1,4,5,2,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,1,5,8,2,7,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,1,2,3,6,4,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [9,1,2,3,8,5,10,7,6,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [9,1,2,8,4,3,10,7,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [9,1,8,3,2,5,10,7,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [10,1,2,3,9,5,8,7,6,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,9,4,3,8,7,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,9,4,8,3,6,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,8,4,7,6,5,3,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [10,1,9,3,2,5,8,7,4,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,9,3,2,8,5,6,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,8,3,2,7,6,4,5,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [10,1,2,3,9,8,5,6,7,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,9,3,8,4,6,7,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,9,8,4,3,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,8,7,4,5,6,3,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [10,1,9,2,4,8,3,6,7,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,9,2,8,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,8,2,7,3,5,6,4,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [10,1,9,8,3,2,6,4,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,8,7,3,2,4,5,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,10,1,3,4,9,2,7,6,5]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [7,10,1,3,9,2,6,4,5,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [10,9,1,3,4,8,2,6,7,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,1,3,8,2,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,1,3,7,2,5,6,4,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [10,9,1,8,2,3,6,4,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,1,7,2,3,4,5,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [6,1,3,8,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,8,4,6,5,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,4,1,3,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,7,2,8,1,3,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,5,1,4,7,3,2,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [2,7,8,4,1,3,6,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [2,4,5,6,8,7,1,3]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>162 [2,4,5,6,8,3,7,1]=>[1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>162 [2,3,4,6,8,5,1,7]=>[1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>72 [5,2,8,3,4,1,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,6,4,1,2,7,8,5]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [4,1,7,3,8,6,2,5]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [8,4,1,2,5,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,6,8,3,1,2,5]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,8,2,7,6,5,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,4,2,8,6,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,5,2,7,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,8,2,7,1,4,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,5,8,2,1,6,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,6,4,8,5,7,3,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,3,1,4,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,4,8,5,2,1,7,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [4,8,7,1,3,2,6,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,4,6,1,3,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,7,5,4,1,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,5,7,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,7,3,4,1,6,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,6,5,8,3,1,4,7]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,7,8,2,4,5,3,1]=>[1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>36 [3,2,8,4,5,7,1,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,1,8,2,4,5,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,3,6,4,2,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,5,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,7,1,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,2,8,7,6,4,5]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [8,5,4,1,2,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,1,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,8,4,1,7,5,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [6,7,2,5,8,4,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [4,1,7,8,2,5,6,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,4,6,7,1,5,8,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>144 [3,4,5,7,8,1,6,2]=>[1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>216 [1,8,7,4,3,5,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,8,6,5,3,1,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [6,3,1,5,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,8,3,5,6,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,2,8,5,6,1,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,2,5,8,1,4,6,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,7,5,8,1,2,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,7,5,8,1,2,3,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [3,4,7,5,2,8,1,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [2,5,4,7,3,8,1,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [3,7,8,4,2,1,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [8,5,4,7,6,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,4,5,8,1,6,7]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [3,6,8,4,2,7,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [7,4,1,6,2,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,3,1,6,5,2,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,4,1,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,2,8,5,1,6,3]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [7,8,6,2,1,5,4,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,6,2,7,3,5,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,3,8,7,5,6,4]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [8,1,7,3,6,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,7,5,8,4,9,3,10,2]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>120 [3,4,5,6,7,8,2,1,9]=>[1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>243 [4,8,1,6,3,7,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,4,1,6,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,3,2,4,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [2,6,8,5,4,3,1,7]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [2,8,4,6,3,5,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,7,8,3,6,4,5,1]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [3,8,1,4,6,5,2,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,7,5,4,1,8,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [4,6,1,8,5,3,2,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [3,8,5,2,1,6,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,1,4,8,2,6,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,5,8,1,3,7,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,6,7,1,4,3,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,6,3,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,1,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,1,2,5,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,6,2,1,8,5,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [4,3,7,6,1,8,5,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [8,6,3,2,7,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,5,4,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,7,2,5,4,8,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [7,6,2,4,8,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,6,8,7,3,1,2,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,5,2,6,3,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [3,5,6,2,8,1,4,7]=>[1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>144 [8,9,4,5,2,1,3,6,10,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>16 [8,4,9,10,2,5,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,9,4,2,5,1,3,6,10,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>16 [8,4,9,10,2,5,1,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,4,9,2,5,1,3,6,10,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0,0]=>14 [6,1,8,2,4,3,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,2,5,3,4,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [8,5,2,7,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,8,7,1,2,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,7,3,5,1,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,5,2,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,3,8,5,2,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [8,7,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,3,8,5,6,2,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,2,8,3,1,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,7,8,6,3,2,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [3,7,2,4,5,6,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,2,8,1,5,7,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,7,6,2,1,8,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [7,2,5,1,6,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,8,9,10,3,6,7,4,5,1]=>[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>343 [1,8,9,10,2,6,7,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [1,8,9,10,2,5,7,3,6,4]=>[1,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [5,8,2,7,4,6,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,2,8,3,7,1,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [7,8,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,7,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,8,3,1,2,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,6,8,3,2,1,7,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,8,3,5,1,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,5,2,6,8,7,3,1]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [1,7,6,3,8,5,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [7,3,1,8,4,5,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,2,8,7,4,5,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [6,2,4,3,7,5,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,4,2,5,1,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [3,8,2,1,5,7,6,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,3,2,8,7,4,6,5]=>[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [7,5,2,8,3,1,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,4,2,7,3,8,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [4,6,3,7,8,1,2,5]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [8,3,5,4,7,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,5,4,1,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [8,5,1,6,3,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,7,4,3,2,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,1,5,4,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,5,1,3,7,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,6,4,1,8,2,7,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [6,4,5,1,3,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,1,3,5,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [2,5,4,1,8,3,7,6]=>[1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>16 [5,1,4,8,3,7,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,4,1,2,7,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,3,2,7,6,5,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,7,3,4,6,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,5,3,1,2,4,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,1,2,4,6,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [8,7,5,3,1,2,4,6,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [8,5,3,1,2,4,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [10,9,7,5,3,1,2,4,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,5,7,3,1,2,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,3,1,2,4,6,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>1 [3,1,2,8,7,5,4,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,3,1,2,4,9,7,6,8]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [6,7,1,5,2,8,4,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [4,8,1,3,6,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,7,3,4,8,6,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [1,8,2,4,7,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,1,6,5,8,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [6,2,3,8,1,5,7,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,5,6,2,4,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,6,7,1,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,5,7,3,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,7,1,2,8,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [2,7,6,4,3,8,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [3,8,6,2,7,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,8,1,6,2,5,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,4,2,5,7,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,8,3,1,2,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,4,2,6,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,5,8,7,2,4,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,2,8,7,3,5,4,6]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,7,1,3,2,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,4,2,8,1,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [4,1,6,8,7,2,3,5]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,7,5,6,2,8,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [8,4,3,6,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,7,5,2,8,4,3,1]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,8,4,3,2,7,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,9,8,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,10,9,8,7,6,5,1,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [6,1,7,3,5,8,2,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [2,6,4,8,7,3,1,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [2,1,8,7,3,5,4,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,5,8,7,4,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,1,8,5,7,4,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,5,1,4,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,7,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,7,3,5,8,4,1]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [2,6,7,3,5,8,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [4,7,5,3,2,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,7,5,2,8,6,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,8,6,7,2,5,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,8,1,2,7,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,3,1,8,2,4,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,6,3,7,8,1,5,2]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [6,3,1,8,4,5,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,6,2,4,8,3,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,5,8,1,4,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,1,4,2,7,5,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,3,4,5,6,7,1,2,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [8,6,3,5,2,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,3,1,2,5,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,6,4,7,1,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,2,4,3,8,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,7,6,5,4,3,2,9,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,8,4,3,5,1,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,4,6,8,2,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [8,5,7,6,1,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,5,6,1,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [1,2,6,7,4,5,8,3]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>8 [6,5,2,8,7,1,4,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,2,3,6,8,1,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,1,8,3,2,5,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,1,4,2,7,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,3,1,6,8,7,4,5]=>[1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>12 [6,4,8,2,1,7,3,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,3,1,8,7,5,6,4]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [6,8,3,7,1,2,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,6,4,1,5,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,7,4,5,1,3,8,2]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [8,7,4,5,1,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,2,7,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,8,7,2,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,2,4,6,1,8,7,5]=>[1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>18 [1,4,7,5,8,2,3,6]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [1,6,8,4,7,3,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [3,6,7,5,4,8,1,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [2,3,5,7,8,1,6,4]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>144 [8,1,7,2,4,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,7,8,3,5,1,6]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [4,8,1,2,6,3,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,2,6,3,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,2,6,5,7,8,3]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>12 [1,8,4,2,7,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,4,7,3,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,6,1,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,6,1,8,3,7,4,5]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [8,4,2,1,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,5,1,7,6,8,3,4]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [5,3,1,8,2,4,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,8,3,2,4,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,1,5,4,6,7,8,2]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>24 [2,8,5,7,3,1,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,8,7,3,1,4,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [7,4,2,1,3,8,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,1,3,8,5,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,1,7,3,8,6,4,5]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [2,8,7,3,4,1,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,7,6,2,3,8,1,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [4,5,7,6,2,8,1,3]=>[1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>120 [3,1,8,7,5,2,6,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,5,6,8,7,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [2,8,3,1,5,4,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,4,1,5,2,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,1,7,8,3,2,6,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [1,8,6,2,4,3,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,8,3,1,6,2,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,3,1,6,4,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,2,7,1,5,8,4,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [1,4,5,6,7,8,9,3,2]=>[1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>243 [4,8,5,1,3,2,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,5,2,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,6,1,2,8,3,7,5]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,5,3,7,2,4,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [2,7,5,8,1,3,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [1,2,5,7,8,6,3,4]=>[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>24 [1,2,6,7,4,5,3,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,2,7,8,4,6,3,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [8,6,5,2,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,8,6,7,1,5,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,3,2,4,7,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,8,6,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,8,2,6,1,4,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,6,8,2,7,4,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [7,4,1,2,6,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,2,7,4,6,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [7,4,1,2,3,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,4,8,6,3,2,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,4,6,7,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,8,5,1,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [6,3,5,7,1,2,8,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [1,8,5,3,2,4,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,6,7,3,4,2,5,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,6,8,3,4,2,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,8,7,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,8,5,3,4,2,6]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,7,6,8,4,2,3,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,8,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [9,8,7,6,5,2,1,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,8,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [5,1,7,8,4,2,3,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [3,8,2,1,6,7,5,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,3,1,7,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,5,6,2,1,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,10,6,4,2,1,3,5,8,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,7,8,4,2,1,3,6,5,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,10,4,2,1,3,6,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [10,8,5,6,2,1,4,3,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,10,5,6,2,1,4,3,8,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,7,5,8,2,1,4,6,3,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,10,2,1,4,6,8,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,6,7,8,2,1,5,4,3,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,6,7,10,2,1,5,4,8,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [8,6,9,10,2,1,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [10,8,6,3,4,2,1,5,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,10,6,3,4,2,1,5,8,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,7,8,3,4,2,1,6,5,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,10,3,4,2,1,6,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [10,8,5,3,6,2,4,1,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,10,5,3,6,2,4,1,8,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,7,5,3,8,2,4,6,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,3,10,2,4,6,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,6,7,3,8,2,5,4,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,6,7,3,10,2,5,4,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,8,4,5,6,3,2,1,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,10,4,5,6,3,2,1,8,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,7,4,5,8,3,2,6,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,4,5,10,3,2,6,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,6,4,7,8,3,5,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,6,4,7,10,3,5,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,5,6,7,8,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,5,6,7,10,4,3,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [11,3,4,5,6,7,8,10,1,2,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [2,10,4,5,6,7,9,1,3,8]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [10,3,4,5,6,7,1,9,2,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,7,4,1,5,8,3,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [5,7,8,3,4,2,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,7,5,3,8,2,6,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [7,8,4,5,6,1,3,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,2,8,4,6,7,1,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,8,3,4,2,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,4,5,8,2,1,6,7]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [8,2,7,6,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,7,3,2,1,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,4,8,2,7,1,5,6]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [7,2,6,1,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,1,2,4,6,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,2,8,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,8,3,4,2,5,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,5,1,2,4,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,8,1,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,4,3,7,8,5,6,1]=>[1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>48 [2,1,7,6,3,4,5,8]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [6,3,5,2,1,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,1,5,3,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,3,6,8,5,1,7,4]=>[1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>80 [3,2,4,8,6,1,7,5]=>[1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>10 [2,1,3,8,4,5,7,6]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,1,2,8,5,4,7,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,1,3,7,8,4,6,5]=>[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [2,1,3,8,4,7,6,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [3,1,2,8,4,5,7,6]=>[1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,2,8,7,5,4,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,6,7,2,3,8,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [2,1,8,7,4,6,5,3]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,5,8,4,7,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,8,5,1,6,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,1,5,4,2,3,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [6,4,5,1,2,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [8,4,1,5,7,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,3,5,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,4,3,6,7,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,2,1,5,3,4,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,2,6,5,1,8,4,7]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [7,4,5,8,1,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,5,8,1,6,7,3,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,1,8,4,6,7,3,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,3,8,1,7,2,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,3,7,1,6,2,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,6,5,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,6,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,5,3,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,3,6,8,1,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,8,7,2,1,5,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,5,6,3,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,8,6,3,1,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,4,5,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,8,4,7,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,3,6,8,5,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,8,5,4,1,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,5,2,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,4,2,8,1,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,6,3,2,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,3,6,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,5,4,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,8,3,6,1,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,5,2,8,3,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,6,8,2,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,4,2,5,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,2,5,7,3,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [5,7,8,4,2,3,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,4,5,2,8,3,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,2,4,3,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,5,3,4,1,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,4,5,3,8,1,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,6,4,8,3,1,2,7]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [7,2,4,6,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,8,3,7,6,1,5,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,4,2,6,8,7,3,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [3,7,2,5,8,6,4,1]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,6,5,3,8,1,7,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,4,8,7,6,1,5,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,2,8,7,4,6,5,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,2,6,5,1,4,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,2,7,6,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,6,5,7,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,5,1,7,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,7,6,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,7,2,4,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,8,2,1,3,4,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,1,7,6,4,3,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [7,4,8,3,6,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,8,5,1,7,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,2,8,1,3,6,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,3,2,7,4,5,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,4,3,8,5,6,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,2,1,8,7,4,5,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,1,8,7,3,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,2,1,7,6,3,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [4,2,6,8,5,7,1,3]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [1,5,8,2,6,4,3,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [10,9,8,6,4,2,1,3,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,7,6,4,2,1,3,5,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,9,6,4,2,1,3,8,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,4,2,1,3,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,5,4,2,1,3,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,6,5,4,2,1,3,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,5,7,4,2,1,6,3,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,5,9,7,4,2,1,6,8,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,5,7,4,2,1,6,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,7,6,5,4,2,1,3,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,9,6,5,4,2,1,8,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,9,8,5,7,2,1,4,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,4,3,2,1,5,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,6,4,3,2,1,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,7,6,4,3,2,1,5,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,9,6,4,3,2,1,8,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,3,5,2,4,1,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,6,3,5,2,4,1,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,3,7,5,2,4,6,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,3,9,7,5,2,4,6,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,3,7,5,2,4,6,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,7,6,3,5,2,4,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,9,6,3,5,2,4,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,3,8,6,5,2,7,4,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,3,5,2,4,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,5,4,3,2,1,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,5,7,4,3,2,6,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,5,9,7,4,3,2,6,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,5,7,4,3,2,6,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,4,7,6,3,5,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,4,9,7,6,3,5,2,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,4,9,6,8,3,5,7,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,4,7,6,3,5,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,9,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,9,8,5,4,3,7,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,5,9,8,7,4,6,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [3,5,6,2,4,7,8,1]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>96 [3,5,6,7,2,4,8,1]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>192 [3,5,7,6,8,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [3,5,7,2,6,8,4,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [3,5,2,7,6,8,4,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [3,4,5,7,2,8,6,1]=>[1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>162 [3,5,4,7,8,2,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [3,5,4,7,2,8,6,1]=>[1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>108 [3,5,7,4,2,8,6,1]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [3,5,7,8,4,2,6,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [2,3,5,7,8,4,6,1]=>[1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>144 [3,5,2,7,8,6,4,1]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [3,5,7,8,2,6,4,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [3,5,7,8,6,2,4,1]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [4,2,5,6,7,3,8,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>54 [4,2,5,6,7,8,9,3,1]=>[1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>243 [8,6,1,4,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,8,4,3,5,2,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,1,6,4,8,2,3,7]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [8,1,4,2,5,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,1,5,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,4,1,3,5,2,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,8,3,5,2,6,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,3,1,2,5,4,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,8,2,5,4,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,2,4,8,1,7,6,3]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [7,3,2,4,6,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,6,8,1,2,5,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,5,6,8,2,1,4,7]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [8,2,5,4,1,3,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,8,2,3,1,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,5,8,2,3,1,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [4,6,7,5,1,8,3,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [8,3,4,2,6,7,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,3,8,6,2,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,3,1,8,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,6,7,5,2,8,3,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [5,8,7,2,4,3,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,2,8,6,7,3,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [2,5,7,8,6,1,4,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [7,2,6,8,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,1,7,6,8,2,3,4]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [5,7,1,6,2,3,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,2,5,8,3,4,1,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,6,8,7,1,3,2,4]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [2,8,6,5,7,4,3,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,6,5,7,4,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,5,2,7,4,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,5,2,8,4,3,7,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,5,8,3,4,2,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,6,8,5,2,4,1,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,3,7,2,4,1,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [5,1,2,8,6,3,7,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,1,5,7,2,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [4,1,8,2,6,5,7,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,1,4,7,8,5,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [6,1,5,7,8,4,2,3]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [5,6,8,3,7,4,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [2,5,8,4,6,3,7,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,1,6,5,2,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,5,2,7,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,5,8,2,3,7,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,6,2,7,4,8,3,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [4,3,1,8,2,6,7,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [4,8,1,3,2,5,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,7,5,3,8,6,2,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,2,5,8,1,3,7,6]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [8,1,2,4,3,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,3,8,1,5,7,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [6,4,5,3,2,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [2,7,3,8,5,1,6,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [8,7,3,2,5,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,1,8,2,6,5,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,6,2,8,1,4,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,3,8,4,1,5,7,6]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [8,4,2,3,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,1,5,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,2,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,8,1,4,3,6,5]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [6,5,8,1,3,2,4,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,1,8,5,3,4,6,7]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,4,1,3,2,5,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,2,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,5,2,4,6,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,6,3,1,5,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,7,2,8,4,1,6,3]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [7,4,5,6,8,1,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,1,8,4,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,7,8,5,6,4,3,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [2,8,1,7,4,5,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,3,6,2,5,4,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,8,5,6,4,3,7,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,6,8,4,5,1,7,3]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [4,6,5,7,8,1,3,2]=>[1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>160 [2,5,8,6,4,7,1,3]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,3,2,1,7,8,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [8,4,1,3,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,2,3,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,2,5,3,4,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,2,5,3,4,8,7,1]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [2,6,5,3,4,8,1,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [5,3,4,8,1,7,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,1,3,4,8,7,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,1,3,8,4,7,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,3,8,1,4,7,6,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,3,5,8,1,7,6,2]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,6,5,4,8,1,2,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [3,6,5,4,8,2,7,1]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [2,3,8,7,6,4,1,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [7,5,2,3,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,8,3,6,4,2,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,7,4,8,5,3,6]=>[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [8,1,7,3,2,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,2,6,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,2,8,1,3,6,7,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,1,2,5,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,3,1,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,5,3,6,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,5,1,4,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [6,8,7,4,1,5,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,6,4,7,5,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,2,4,7,8,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [4,2,6,7,8,5,3,1]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [6,2,4,7,8,5,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [4,2,7,8,6,5,1,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [1,2,7,8,6,4,5,3]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [4,8,1,2,6,5,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,6,3,2,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,4,8,1,2,3,7,5]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,1,3,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,1,8,3,2,6,5,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,5,1,6,4,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,2,7,1,4,6,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,3,8,5,7,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [2,4,3,8,5,7,1,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,8,3,1,4,6,5,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,7,1,6,5,8,2,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [7,4,3,6,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,8,5,4,7,6,1,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,2,8,5,1,4,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,3,8,1,4,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,8,1,4,2,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [1,4,7,5,8,6,2,3]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [8,5,7,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,6,1,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,8,5,3,4,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,4,5,3,1,7,8,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [7,3,5,6,4,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,5,6,7,8,9,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1024 [2,1,6,7,8,9,3,4,5]=>[1,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>64 [2,5,6,7,8,9,10,1,3,4]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4096 [4,6,7,2,3,8,5,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [4,5,3,7,8,1,2,6]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [1,7,4,5,8,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [8,6,1,5,4,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,5,6,3,1,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,2,6,1,5,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,3,7,8,1,5,4,6]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [5,2,6,7,8,3,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [5,6,2,7,8,3,1,4]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [3,7,8,5,1,4,6,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [2,5,6,7,1,8,4,3]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>192 [8,5,3,6,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,7,8,5,4,6,1]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [6,4,7,8,1,2,5,3]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,5,8,1,2,3,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,2,8,7,4,6,5,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [5,1,4,8,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,3,1,8,7,5,6,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [7,2,6,5,3,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,2,7,1,6,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,2,8,1,7,5,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [7,5,4,1,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,6,5,3,2,4,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [7,2,1,3,5,4,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,3,7,5,4,2,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,8,7,5,2,3,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [4,3,6,1,8,5,2,7]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [4,6,7,5,1,3,8,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [3,6,5,1,4,7,8,2]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [4,6,7,3,1,5,8,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [5,4,1,8,7,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [6,2,4,7,5,3,1,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,2,5,1,8,7,3,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [3,2,6,1,5,8,7,4]=>[1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>12 [6,2,3,5,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [8,1,5,2,4,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,8,1,4,2,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,2,4,1,5,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,8,4,1,3,6,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,7,2,3,8,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [5,2,8,1,7,4,6,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,4,6,8,3,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,5,4,7,3,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,1,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,4,1,6,2,3,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [1,3,6,5,2,4,7,8]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [5,8,7,3,1,2,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,7,8,1,4,5,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [4,1,2,8,7,3,6,5]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [6,1,2,4,3,8,7,5]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,7,8,1,2,4,6,5]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [7,3,4,1,2,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,3,1,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,2,7,4,5,1,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,6,2,3,5,4,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,1,3,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,3,7,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,7,4,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,5,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,2,4,5,1,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,3,8,1,7,5,6,2]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,4,3,7,1,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,4,7,2,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,3,7,6,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,1,4,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,6,1,2,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,6,2,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,3,6,1,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,1,3,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,8,4,2,3,7,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,2,4,7,3,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,6,3,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,4,7,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,5,7,2,6,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,2,7,3,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,2,6,7,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,7,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,7,6,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,6,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,2,3,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,7,3,6,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,6,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,7,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,4,7,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,1,9,8,7,6,5,4]=>[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>2 [2,8,1,5,3,7,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,2,4,7,5,6,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,3,8,4,7,1,6,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [1,8,2,3,5,6,4,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,3,7,6,4,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,3,8,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [5,8,2,3,7,4,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,8,3,7,6,1,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,1,7,8,5,2,4,6]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [4,6,1,8,2,7,5,3]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [6,3,5,2,8,4,7,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,4,8,6,3,7,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,4,5,8,1,3,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,3,5,1,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [2,6,3,1,5,8,4,7]=>[1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>15 [6,4,5,8,2,1,7,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [3,5,4,8,2,6,1,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,6,4,5,1,2,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [3,5,4,8,1,6,2,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,4,8,5,6,1,2,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,4,8,5,6,2,1,7]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,5,4,8,1,6,7,2]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [5,6,1,7,4,3,8,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>40 [3,7,2,1,5,6,8,4]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [8,3,4,1,6,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,4,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,5,6,4,2,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [6,1,4,3,7,5,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [3,8,6,4,5,2,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,5,8,6,2,3,7,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,6,8,5,3,7,2,1]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,5,7,2,8,6,3,1]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [3,7,4,5,1,6,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [4,6,8,1,2,5,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,8,5,1,3,7,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,7,4,5,2,8,6,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,8,4,6,1,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,5,1,6,8,3,7,2]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [8,3,5,4,6,1,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,3,4,1,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,5,8,2,1,3,7]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [1,8,7,4,2,3,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,7,9,8,1,3,4,2,5]=>[1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>126 [9,1,5,2,8,6,3,7,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [4,3,1,8,5,7,2,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [7,3,2,4,8,1,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [3,7,2,4,5,8,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [3,2,7,4,6,1,8,5]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [8,3,2,4,6,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,4,5,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,2,1,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,6,7,2,4,1,8,5]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [8,4,7,2,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,7,1,5,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,3,2,8,6,1,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [5,7,1,8,4,3,6,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,4,8,7,6,2,3,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,4,6,3,1,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,6,2,5,4,1,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [2,7,1,5,3,4,6,8]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [8,4,5,1,2,7,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,3,8,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [7,5,2,4,1,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,2,6,8,5,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,5,4,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,3,4,1,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,2,3,4,5,6,1,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,2,3,4,5,1,7,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,2,3,4,1,6,7,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,2,3,1,5,6,7,8,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,2,1,4,5,6,7,8,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,2,3,4,5,6,7,1,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,2,3,4,1,9,6,8,7]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [10,2,3,4,5,6,1,8,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [4,2,3,1,9,5,7,8,6]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [10,2,3,4,5,1,7,8,9,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [3,2,1,9,4,6,7,8,5]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [10,2,3,4,1,6,7,8,9,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,1,9,3,5,6,7,8,4]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [10,2,3,1,5,6,7,8,9,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,1,4,5,6,7,8,9,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,4,3,8,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,5,1,4,3,8,7,2]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [4,7,6,2,5,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [6,3,2,4,5,8,1,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [3,7,4,8,6,2,5,1]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [7,3,5,2,8,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,5,8,7,4,2,3,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,7,3,2,8,5,6,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,3,8,4,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,6,2,7,4,3,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [1,5,8,2,3,6,4,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,9,1,2,3,4,5,7]=>[1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>147 [5,8,9,1,2,3,4,6,7]=>[1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>245 [6,4,1,5,7,2,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,4,1,5,7,3,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [1,2,7,3,8,5,6,4]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [7,4,1,6,3,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,3,1,4,5,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [6,5,8,3,2,7,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,4,3,1,7,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,6,7,5,3,4,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [3,4,5,6,8,2,7,1]=>[1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>162 [7,2,1,4,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,6,8,5,2,1,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [1,6,7,8,2,4,5,3]=>[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>25 [4,7,8,2,1,3,5,6]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [5,7,8,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,7,8,2,3,1,6,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,3,4,2,1,9,8,7,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [6,5,3,4,2,1,9,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>1 [7,6,4,5,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [4,5,2,7,8,6,1,3]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [6,4,1,8,5,7,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,1,3,8,7,5,2,6]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [8,5,1,6,7,2,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,7,2,1,5,8,4]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [3,8,5,7,2,4,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,7,1,4,5,2,8,3]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [7,2,5,6,1,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,4,1,2,5,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [4,7,3,5,2,6,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [2,3,5,4,7,1,8,6]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>36 [6,8,4,1,5,7,3,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,1,6,2,3,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,9,6,1,2,3,4,10,5]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>98 [2,8,9,10,7,1,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>343 [8,9,7,5,6,1,2,3,10,4]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>16 [2,9,10,8,6,7,1,3,4,5]=>[1,1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>64 [7,8,9,5,1,2,3,4,10,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>98 [7,8,9,1,6,2,3,4,10,5]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0]=>98 [2,8,9,10,6,1,3,4,5,7]=>[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>343 [2,8,9,10,1,7,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>343 [2,8,3,6,4,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,1,8,7,3,2,6,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,5,3,4,8,2,1,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [5,4,8,7,3,6,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,2,7,6,8,3,4,1]=>[1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>40 [8,4,5,2,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,7,4,5,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [7,3,4,2,8,5,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [4,3,6,5,8,2,7,1]=>[1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>36 [8,2,7,4,5,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,8,4,5,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,3,8,2,7,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,2,8,4,7,5,6,1]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,3,6,2,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,4,3,6,5,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [1,7,8,3,6,5,4,2]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,4,5,8,7,2,1,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,1,7,2,4,3,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,3,5,2,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,5,3,7,6,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,4,2,3,8,7,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,5,1,3,8,4,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,1,4,2,7,8,3,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,5,1,3,7,8,4,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [5,1,3,2,7,8,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [5,6,8,2,4,7,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [6,7,4,2,3,8,5,1]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [5,8,7,3,2,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,3,2,6,8,4,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [5,7,1,4,6,8,2,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [3,7,2,8,4,1,5,6]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,4,1,7,3,8,5,6,9]=>[1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>36 [5,3,4,1,7,8,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [4,7,6,5,8,2,3,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,1,8,3,2,6,5,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,2,6,3,1,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,8,4,1,3,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,3,5,6,4,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,2,6,5,3,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,7,2,5,6,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,4,7,3,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,2,3,1,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,6,3,5,1,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,2,6,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,5,3,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,1,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,3,4,6,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,2,5,4,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,8,4,6,5,2,7,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,1,7,4,2,5,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,2,5,1,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,1,2,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,3,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,2,4,6,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,6,4,1,3,8,7]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>4 [7,1,3,5,2,8,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,4,7,1,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,4,3,2,1,7,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,1,8,5,4,3,7,6]=>[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,2,8,5,4,1,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,5,3,2,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [9,10,6,7,4,5,2,3,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,5,4,6,2,7,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,4,7,2,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,5,7,3,4,8,1,6]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [5,2,4,7,8,1,3,6]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [8,5,9,3,6,1,2,4,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,1,5,8,3,6,2,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,4,1,3,8,2,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,6,10,1,3,7,8,2,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,10,6,7,4,5,1,2,3,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,6,4,10,3,7,1,2,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,1,8,9,6,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,1,4,9,3,7,2,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,5,4,1,3,9,2,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,7,6,5,4,3,1,2,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [4,8,5,6,1,2,7,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,7,8,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [4,6,8,1,5,2,7,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [8,2,3,6,4,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,5,1,2,4,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,7,6,2,8,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,5,8,6,4,7,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,6,2,8,1,7,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [6,8,4,5,1,3,7,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,3,8,1,4,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [1,6,8,3,2,4,5,7]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [9,6,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,7,6,5,4,3,2,1,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,5,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,6,5,2,4,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,2,5,3,7,4,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [8,5,4,2,6,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,3,2,6,4,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,5,8,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,6,5,8,2,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,6,4,8,2,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,5,4,8,2,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,6,8,4,5,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,6,5,7,4,2,8,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [1,2,7,4,8,5,6,3]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [2,6,7,4,8,5,1,3]=>[1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>100 [2,5,8,6,4,3,7,1]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,4,2,5,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [2,7,5,4,6,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [9,1,2,3,4,5,8,7,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,4,8,6,7,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,4,7,3,5,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,1,2,8,4,5,6,7,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,3,7,2,4,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,1,8,3,4,5,6,7,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,4,5,6,9,8,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,4,7,8,6,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,4,5,9,7,8,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,6,8,5,7,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,5,8,4,6,7,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,9,5,6,7,8,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,1,4,5,7,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,1,4,8,3,5,6,7,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,9,4,5,6,7,8,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,3,8,2,4,5,6,7,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,5,7,4,6,8,1,3]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [4,3,6,8,5,2,1,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,5,3,2,1,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [3,6,5,8,1,7,4,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,1,6,8,5,2,3,7]=>[1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>60 [4,5,2,8,6,7,1,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,5,2,8,6,7,3,1]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,5,8,6,2,4,7,1]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [3,2,4,5,8,6,1,7]=>[1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>16 [4,5,2,1,3,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [4,5,1,3,2,8,6,7]=>[1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>4 [3,4,5,8,6,1,7,2]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [3,4,5,8,6,1,2,7]=>[1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>90 [6,4,1,3,7,8,2,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,3,1,2,5,4,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [7,3,1,2,5,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,2,6,4,1,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,5,8,2,4,3,7,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,8,7,3,2,4,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,6,2,7,3,4,1,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,7,3,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,3,2,8,7,1,4]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,1,6,7,8,3,2,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [8,6,1,7,3,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,1,7,4,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,4,2,3,5,7,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,5,2,3,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,8,3,1,2,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,4,7,3,2,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,5,1,7,3,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,2,7,3,8,1,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,4,2,6,7,1,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,3,6,5,2,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [4,6,7,5,1,8,2,3]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [3,5,2,6,8,7,4,1]=>[1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>108 [7,3,6,8,4,1,2,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,4,2,3,7,5,8,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [6,3,7,5,1,2,8,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [7,2,5,4,8,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,2,3,8,7,4,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,1,2,8,4,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,5,8,1,2,7,6,4]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [7,6,2,8,5,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,8,3,5,4,7,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,2,7,6,4,1,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,5,1,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,7,1,4,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,2,5,6,3,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,5,7,4,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,1,5,6,3,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [2,7,1,4,8,3,6,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [2,7,1,5,6,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,3,1,8,7,4,6,5]=>[1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [4,6,8,2,1,5,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,6,8,4,7,2,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [4,5,7,3,6,1,2,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>40 [4,5,8,2,6,1,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,6,8,3,2,7,1]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [3,9,2,1,4,5,6,7,8]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [3,6,7,2,5,8,4,1]=>[1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>150 [5,3,6,7,4,8,1,2]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [4,2,7,8,3,6,5,1]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [4,2,7,8,5,6,1,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [5,4,3,7,8,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [3,5,7,8,4,2,1,6]=>[1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>300 [4,6,7,3,2,8,1,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [4,6,5,3,7,8,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [5,6,2,4,7,8,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>45 [5,6,3,2,8,4,7,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,6,2,8,3,4,7,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [3,7,4,8,1,6,5,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [5,2,4,8,6,7,3,1]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,2,6,4,8,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [2,4,7,8,6,5,1,3]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [4,5,6,7,8,9,1,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1024 [5,2,6,7,8,1,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>64 [4,5,6,7,8,9,10,1,3,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4096 [4,8,2,7,5,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,2,3,1,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [3,5,8,1,7,4,2,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [5,8,6,1,7,2,3,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,4,3,8,2,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [8,4,7,5,6,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,7,5,2,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,2,5,4,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,7,3,6,5,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,7,8,6,1,4,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,6,7,8,2,1,5,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,7,6,3,8,1,5,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [3,8,1,4,6,2,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,7,5,6,2,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [8,7,5,1,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,6,2,3,5,1,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,4,6,7,3,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,1,6,7,8,2,5,3]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [8,6,3,4,1,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,5,8,4,6,1,3,7]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,7,8,6,5,1,3,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [6,8,4,7,3,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,4,5,8,3,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,4,7,3,5,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,4,2,8,1,7,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [3,4,8,6,2,1,7,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [8,4,6,2,1,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,2,1,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,1,8,2,4,6,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [8,1,7,6,2,5,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,4,3,7,6,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,3,6,7,5,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,5,8,6,1,7,4,2]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [8,1,4,7,5,2,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,6,7,8,5,3,2]=>[1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>96 [3,7,8,6,4,1,5,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [4,8,5,3,2,7,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,4,8,1,3,7,2,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,4,5,3,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,5,3,1,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,6,8,7,2,4,3,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [5,7,8,6,4,2,3,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [6,8,7,5,1,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,8,2,6,7,5,1,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,7,6,3,8,2,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [6,7,4,1,8,2,5,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [5,7,6,8,3,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [7,6,4,2,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,3,4,8,7,1,2,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [2,7,4,8,1,6,3,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [5,3,1,6,7,8,2,4]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>27 [3,4,7,8,6,1,2,5]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [3,4,6,8,2,5,7,1]=>[1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>180 [1,8,5,6,4,2,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,6,2,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,4,8,5,7,3,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,6,4,7,2,5,8,3]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [2,7,5,1,8,6,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [8,3,1,4,6,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,4,5,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,2,5,4,6,8,1,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,1,5,3,8,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [3,5,7,2,8,4,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>240 [2,4,3,8,5,1,7,6]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [7,3,2,1,4,8,6,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,8,3,4,1,7,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,7,6,8,2,5,3,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [8,7,1,6,3,5,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,6,1,5,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,3,8,2,6,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,2,5,3,4,7,1,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [2,7,3,4,1,5,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,5,8,1,6,7,3,4]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,2,8,3,4,5,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,3,4,6,8,2,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,1,3,7,2,8,4,6]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [3,8,4,6,1,5,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,7,3,2,5,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,4,1,2,5,8,7]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>10 [5,2,7,1,4,3,6,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,3,1,4,2,5,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [4,5,7,2,8,3,1,6]=>[1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>160 [8,3,6,2,7,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,6,5,3,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,2,7,1,8,6,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [2,3,6,7,1,8,5,4]=>[1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>96 [3,6,1,2,7,8,5,4]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [4,5,1,8,7,6,3,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [8,4,5,2,7,6,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,5,1,2,4,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,5,1,2,4,3,6,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,4,1,2,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,5,8,1,4,2,7,6]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [2,8,5,7,1,4,3,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,8,7,5,1,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,2,4,6,3,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,1,4,2,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,2,7,8,4,3,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,8,1,2,5,3,4,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,8,4,7,5,2,3,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,4,7,2,1,6,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,8,2,1,6,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [7,4,2,5,3,6,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,4,2,5,3,6,7,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,1,5,3,6,7,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,1,5,3,6,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,5,3,6,7,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,6,5,2,4,7,8,1]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>40 [4,7,8,2,5,6,1,3]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [2,8,5,4,6,7,1,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,5,1,3,2,6,4,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>1 [9,6,1,3,4,2,7,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,3,6,1,4,2,7,5,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,1,7,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,3,4,7,1,5,2,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,5,1,3,2,6,4,8,9,10]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>1 [9,6,1,3,4,2,7,8,5,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,3,6,1,4,2,7,5,9,10]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>1 [10,1,8,3,2,5,7,4,9,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,3,7,1,4,5,2,8,9,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,3,4,7,1,5,2,8,6,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [7,10,1,3,8,2,6,5,9,4]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [10,9,5,1,8,2,4,3,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,3,4,5,8,1,6,2,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,1,8,6,7,3,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,3,2,4,1,5,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,5,2,4,1,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [5,4,8,2,1,3,6,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,2,8,3,1,4,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,3,2,7,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,8,7,5,6,4,3,2,10,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [8,7,5,4,6,3,2,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,7,4,6,5,3,2,9,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [2,3,4,5,6,1,9,8,7]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>16 [2,3,4,5,1,9,8,7,6]=>[1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>8 [9,10,2,4,6,8,1,3,5,7]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,7,10,2,4,6,8,1,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,6,7,5,10,2,4,8,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [9,3,4,7,10,2,6,8,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [8,5,9,10,3,7,2,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>49 [9,3,6,7,5,10,2,4,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [9,5,6,7,4,3,10,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [7,6,1,8,2,5,4,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,4,1,6,7,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,4,2,1,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,6,4,1,2,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,4,2,8,1,6,3,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,7,2,6,4,5,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,8,4,3,6,1,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,7,5,4,8,6,2,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [4,8,6,3,5,2,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,3,2,7,1,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,6,3,2,4,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,7,3,2,8,6,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [4,5,1,6,8,2,7,3]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [1,6,3,7,2,4,8,5]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [8,9,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,6,7,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,9,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,8,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,3,1,5,7,2,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [8,7,5,4,3,6,9,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [8,7,6,9,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [8,7,9,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [5,2,1,4,8,6,7,3]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [8,2,7,4,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,2,8,4,1,6,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,7,6,4,1,5,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [7,1,6,5,4,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,8,4,2,3,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,7,6,4,5,1,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [4,6,8,1,7,3,5,2]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,6,8,1,5,7,4,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [2,8,3,1,6,7,4,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [4,5,6,8,2,1,7,3]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [4,5,6,8,1,3,7,2]=>[1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>160 [4,5,8,3,2,1,7,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,7,3,2,1,6,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,8,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [4,7,1,3,5,6,2,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,8,3,2,1,6,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,8,1,4,6,7,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,6,3,7,8,1,4,2]=>[1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>80 [5,7,1,4,3,6,2,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,2,3,7,1,5,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [6,2,8,1,5,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,3,4,5,2,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [7,1,3,4,5,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,2,5,1,3,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,2,7,8,4,3,1]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [7,5,3,6,4,2,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,5,6,3,4,1,2,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [6,5,4,3,2,1,8,9,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>2 [6,9,4,7,2,5,1,3,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [8,9,4,5,6,1,2,3,10,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>16 [9,5,6,3,4,10,1,2,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [10,7,8,5,6,3,4,1,2,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,3,4,7,2,1,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [4,8,5,7,1,2,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,2,3,7,6,1,8,5]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>8 [5,8,4,3,2,6,1,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,5,7,3,8,2,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [1,2,7,8,6,4,3,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [3,5,1,7,8,6,2,4]=>[1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>144 [5,2,4,1,7,6,8,3]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>6 [2,9,4,5,6,7,8,3,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [9,3,4,5,6,7,8,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,3,1,9,6,7,8,5,4]=>[1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>2 [2,1,9,5,6,7,8,4,3]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,9,4,5,6,7,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,10,4,5,6,7,8,9,3,1]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [10,3,4,5,6,7,8,9,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,9,1,8,2,7,3,6,4]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [9,1,8,2,7,3,6,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [5,4,3,8,1,7,2,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,10,1,9,2,8,3,7,4,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [7,3,1,5,6,8,4,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,10,1,3,4,5,6,9,7,8]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [2,11,1,3,4,5,6,7,10,8,9]=>[1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>10 [10,3,1,2,4,5,6,9,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,3,1,2,4,5,6,7,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [7,2,3,1,6,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,1,8,2,5,6,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,7,8,1,6,2,3,4]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [4,8,2,1,5,7,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,2,7,1,6,3,4,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [4,8,2,5,1,6,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,1,2,4,6,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,1,7,3,6,4,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [6,3,1,7,5,4,2,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [9,8,3,4,5,6,7,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,2,3,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,2,8,7,3,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [9,4,5,6,7,8,2,1,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,3,4,5,6,7,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [11,2,1,3,4,5,6,7,8,9,10]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [11,10,2,3,4,5,6,7,8,9,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,3,4,5,6,7,8,1,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,2,3,4,5,6,7,1,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,2,3,4,5,1,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,3,4,8,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [9,5,6,7,8,2,1,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,3,6,8,4,5,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,3,9,4,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [10,4,5,6,7,8,9,2,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,3,4,5,6,2,1,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,3,4,5,6,7,8,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,3,4,5,6,7,8,9,10,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [5,6,2,8,3,1,7,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [1,4,7,5,6,2,8,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [1,7,4,8,3,5,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [5,3,1,4,8,6,2,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [5,2,4,8,3,1,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,7,3,5,4,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,5,1,8,6,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,1,5,7,6,3,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,7,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,4,8,3,1,6,5,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,1,5,3,7,6,2,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,7,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,1,4,2,3,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [6,5,1,8,3,7,4,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,1,4,3,8,6,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,4,1,7,3,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,3,8,1,7,6,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [4,7,6,3,2,8,5,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [5,7,6,3,8,2,4,1]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,8,4,7,1,2,5,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,1,5,7,2,8,3,4]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [1,8,7,2,5,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,2,6,7,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,6,3,5,4,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,5,7,6,4,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,4,1,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,2,1,4,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,7,3,5,2,1,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,3,2,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,6,1,4,7,8,2,5]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [7,3,5,1,4,2,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,2,1,7,4,3,8,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,3,5,2,1,6,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,1,5,3,7,2,4,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [10,9,3,8,7,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,7,6,4,5,3,2,1,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,9,8,6,5,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,8,7,5,4,2,1,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,6,8,7,3,2,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [8,7,5,4,6,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,8,2,4,6,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,5,4,8,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,6,1,8,4,3,7,2]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [1,8,2,6,7,5,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,7,5,1,6,8,3,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [8,5,4,2,7,3,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,1,2,4,5,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,8,5,3,2,7,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,4,7,2,3,5,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [3,2,8,1,7,5,4,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,4,5,2,1,6,7,8,9]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>9 [7,1,5,6,2,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,5,1,7,2,3,4,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [1,6,8,2,7,3,4,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,6,8,7,3,4,2,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [7,4,1,5,6,8,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,10,4,9,3,8,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,9,3,2,8,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,9,3,2,8,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,9,3,2,1,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,3,9,8,2,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,3,9,8,2,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,3,9,2,8,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,3,9,2,8,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,3,9,2,1,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,3,2,9,8,7,1,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,3,2,9,8,1,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,3,2,9,1,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [5,10,4,3,2,1,9,8,7,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [3,7,8,2,1,4,5,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [6,3,7,1,8,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [3,7,8,1,5,2,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [2,1,10,7,5,9,4,3,6,8]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,10,8,5,3,6,4,9,7]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,10,9,4,6,7,3,5,8]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,10,3,9,6,4,8,5,7]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,10,3,4,5,7,8,9,6]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,3,2,10,9,7,5,6,8]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [4,1,3,2,10,5,6,8,9,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,3,1,2,4,10,7,9,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [8,5,3,7,2,1,4,6,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,5,3,7,2,9,4,1,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,5,3,8,2,1,6,4,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,6,3,1,4,2,7,5,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,6,3,9,4,2,7,1,5,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,3,1,9,2,4,8,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,3,1,4,5,2,8,9,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,1,2,4,5,3,10,7,9,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [8,7,2,4,5,1,3,6,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,7,2,4,5,9,3,1,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,2,4,5,1,6,3,9,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,1,7,4,2,6,3,5,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,9,7,4,2,6,3,1,5,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,8,4,9,6,2,3,5,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,8,4,2,5,7,3,9,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,1,2,3,5,6,7,4,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,9,2,3,5,6,7,1,4,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,9,3,5,6,2,8,4,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,9,5,3,7,8,4,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,2,4,7,8,3,6,1]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,1,4,7,8,3,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [4,8,1,5,6,2,3,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,4,1,7,3,8,2]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [4,3,7,8,2,5,1,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [3,7,8,5,4,2,1,6]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [7,2,4,5,6,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,4,5,6,8,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,4,7,8,3,1,6,5]=>[1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [5,4,3,6,8,1,7,2]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [3,7,4,5,8,1,6,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,7,3,5,1,2,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [1,6,4,2,3,5,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [4,8,3,5,2,1,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [10,9,7,6,5,4,3,8,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [1,6,8,4,7,5,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [8,7,3,1,5,2,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,1,6,8,2,3,5]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,6,5,8,2,3,7,1]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [7,1,8,2,4,5,3,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [5,7,8,2,3,4,1,6]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [5,2,3,8,7,1,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [11,10,9,8,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [8,7,1,3,2,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,6,4,8,3,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [7,5,1,2,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,2,1,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,3,2,6,5,1,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,3,7,8,2,1,6,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [4,8,7,2,1,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,3,8,2,5,1,6,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,5,3,8,6,1,2,7]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [6,3,5,8,4,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,3,8,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,8,7,5,1,2,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,4,6,1,3,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,8,7,5,1,3,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,3,6,8,1,2,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [7,8,6,2,1,4,3,5]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,6,3,1,2,5,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,7,6,4,1,5,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [5,2,8,4,7,1,3,6]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,3,1,2,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,7,1,3,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,3,5,7,2,8,6]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>12 [5,1,8,2,4,6,3,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,2,1,4,5,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,2,7,3,6,8,5,1]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [6,8,2,1,4,5,7,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,1,10,7,4,9,6,3,8,5]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,10,9,4,3,6,7,8,5]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,10,9,4,5,6,3,8,7]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,10,3,8,5,4,7,6,9]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,2,3,10,9,6,5,8,7]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,5,2,1,4,3,10,7,8,9]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [8,5,2,7,4,1,6,3,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,5,2,7,4,9,6,1,8,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,5,2,9,4,1,6,7,8,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,7,2,1,4,5,6,3,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,7,2,9,4,5,6,1,8,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,2,1,8,5,4,7,6,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,2,1,4,5,6,7,8,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,7,2,3,4,1,6,5,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,7,2,3,4,9,6,1,8,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,2,3,4,1,6,7,8,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,1,6,3,2,5,4,7,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,9,6,3,2,5,4,1,8,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,6,3,8,5,2,7,4,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,8,3,2,5,6,7,4,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,2,3,4,5,6,1,8,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,8,3,4,5,2,7,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,7,4,3,6,5,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,1,4,5,8,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,5,8,1,2,4,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,1,5,2,8,7,4,3]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,4,6,3,1,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,4,1,5,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,7,1,4,5,2,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,8,6,4,5,1,7,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,7,6,4,5,1,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [7,4,6,3,1,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,6,2,5,7,8,1,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [4,7,3,5,8,6,1,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [4,8,3,5,7,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,5,6,1,2,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,7,2,5,6,8,1,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [4,8,2,5,6,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,4,7,2,6,5,8,3]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [7,2,4,6,1,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,2,7,8,3,5,4,6]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,7,6,2,8,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,2,7,8,3,4,6,5]=>[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,7,6,8,3,4,2,5]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [2,4,8,6,5,7,1,3]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,1,3,4,8,2,7,6]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [8,7,3,6,1,4,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,1,8,3,4,7,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,2,1,5,6,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,6,1,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,7,2,4,6,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [7,2,5,4,3,8,6,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,5,3,1,2,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,5,1,3,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,7,3,1,2,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,3,5,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,4,8,3,6,5,7,1]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,1,8,2,6,5,7,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,6,7,8,5,2,1,3]=>[1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>250 [4,7,2,1,8,6,5,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,6,2,8,4,1,7,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [5,7,2,4,8,6,1,3]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,7,2,4,8,5,1,3]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [6,7,3,2,8,5,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,2,3,1,8,6,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,8,3,5,6,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,3,8,4,6,1,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,7,3,4,8,5,2,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,7,3,8,5,4,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,2,8,4,5,3,1,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [2,8,6,4,3,1,7,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,7,3,4,8,2,5,6]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [1,5,8,3,4,6,2,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [1,4,7,6,2,3,8,5]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [1,8,4,6,7,2,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,1,6,4,8,3,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [7,4,5,8,1,3,6,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,8,4,1,5,7,2,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,5,6,4,1,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,3,1,6,4,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,8,2,6,3,1,7,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,8,1,6,3,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,1,4,6,2,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,8,1,6,2,7,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [5,2,6,8,1,4,3,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [6,7,3,8,2,1,4,5]=>[1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>30 [2,7,3,5,4,1,8,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,1,4,8,5,3,7,6]=>[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [2,7,3,8,4,1,6,5]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,6,3,1,5,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [1,5,8,3,4,7,2,6]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,3,8,1,4,6,2,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,5,8,1,3,6,2,7]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [7,4,6,5,2,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,1,3,8,5,7,6,2]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [7,2,6,3,1,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,8,7,2,5,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,1,7,5,4,6,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,8,3,1,5,7,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,3,1,2,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,5,1,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,2,7,8,5,6,1,4]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [4,8,3,2,1,7,5,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,2,3,9,5,6,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [10,1,2,3,4,5,7,8,9,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,4,10,6,7,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [1,9,8,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,9,8,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,9,8,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,9,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,9,8,7,6,5,2,3,4]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,9,8,7,6,5,3,2,4]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,9,8,7,6,3,4,2,5]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,9,8,7,6,4,3,2,5]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,9,8,7,4,5,3,2,6]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,9,8,7,5,4,3,2,6]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,9,8,5,6,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,9,8,6,5,4,3,2,7]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,8,4,5,6,3,2,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,9,6,7,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,9,7,6,5,4,3,2,8]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,10,8,7,6,5,4,3,2,9]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [4,7,6,1,5,8,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [8,5,1,7,4,6,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,8,1,6,7,2,5]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [3,6,7,8,4,1,5,2]=>[1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>250 [2,3,7,8,4,6,1,5]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [3,1,7,8,4,6,2,5]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [4,3,8,1,6,7,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,8,7,3,6,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,3,7,1,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,8,3,7,5,2,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [2,4,8,3,6,7,1,5]=>[1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,6,4,8,7,2,1,3]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [7,2,6,8,3,5,1,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,8,6,5,3,1,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,8,3,7,6,1,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,4,7,1,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,9,2,3,4,5,6,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [7,8,9,2,3,4,5,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [9,10,2,3,4,5,6,7,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [7,8,9,2,3,4,1,5,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [4,5,6,7,8,9,10,2,1,3]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>4096 [6,8,3,4,5,2,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,7,1,4,5,6,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [7,9,3,4,5,6,2,1,8]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [3,9,2,1,5,6,7,8,4]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [8,10,3,4,5,6,7,2,1,9]=>[1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>36 [6,9,3,4,5,2,7,1,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [3,8,2,4,5,1,7,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,9,2,4,1,6,7,8,5]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [3,7,2,1,5,6,4,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [3,6,8,1,5,4,7,2]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,10,2,1,5,6,7,8,9,4]=>[1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>36 [1,7,4,6,3,5,2,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,7,2,5,6,4,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,6,8,5,4,3,7,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [2,5,7,8,4,3,1,6]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [6,8,5,3,2,4,1,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,6,8,5,3,2,7,4]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [4,6,1,8,7,5,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,1,7,8,6,5,2,3]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [5,4,3,7,6,1,2,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [4,7,6,1,2,3,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,5,2,6,7,8,1,3]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>108 [2,8,7,6,5,4,3,1,9]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>7 [2,1,4,9,8,7,6,5,3]=>[1,1,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,2,3,8,6,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,8,1,5,3,4,6,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,3,5,4,1,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [3,7,5,6,1,4,2,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [5,3,1,2,7,8,4,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [5,1,3,7,8,2,6,4]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,8,1,2,7,6,4,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,6,7,4,5,3,2,8]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>5 [1,8,2,4,6,5,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,1,6,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,1,3,6,5,8,2,7]=>[1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>9 [4,3,7,1,5,8,2,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [1,8,6,5,2,7,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,6,2,7,4,3,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,2,6,4,1,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,1,8,3,7,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [4,5,8,7,3,6,2,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [2,9,8,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [6,8,7,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,9,8,7,6,5,2,1,3]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>56 [5,9,8,7,6,2,1,4,3]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [2,10,9,8,7,6,1,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [6,9,8,7,2,1,5,4,3]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [7,9,8,2,1,6,5,4,3]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [2,10,9,8,1,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [8,9,2,1,7,6,5,4,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [2,10,9,1,8,7,6,5,4,3]=>[1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>9 [8,1,6,3,7,5,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,1,3,7,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,5,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,3,5,7,2,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [2,8,1,5,6,4,3,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,6,7,5,8,4,2,3]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [7,4,1,6,5,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,2,8,6,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,8,4,7,3,2,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,7,3,2,1,6,4]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,7,2,6,4,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,7,3,5,1,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,2,5,6,8,3,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [1,6,5,7,8,3,2,4]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [8,6,7,2,3,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,8,6,7,3,1,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [7,3,6,4,2,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,8,5,2,7,3,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,4,3,1,8,5,2,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,4,3,1,5,8,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,4,8,6,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,8,5,2,6,7,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,3,2,1,8,5,6,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [9,1,2,3,4,5,7,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,2,7,5,8,4,3,6]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [5,1,3,8,2,7,4,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,7,1,3,2,8,4,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [7,1,6,3,2,8,4,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,1,7,2,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,6,4,3,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,7,1,3,2,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,3,2,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,7,6,3,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,6,3,2,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,7,6,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,4,3,5,1,2,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,7,3,5,4,1,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,8,5,7,2,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,7,3,6,4,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,2,7,4,6,1,3,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [8,7,2,3,5,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,3,4,1,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,3,5,2,8,1,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,5,3,1,7,2,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [8,7,2,4,3,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,2,3,1,4,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,1,10,3,5,4,7,6,9,8]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,1,10,3,6,5,9,4,8,7]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,3,2,10,5,7,6,9,8]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,1,3,2,5,4,10,7,9,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [8,1,3,2,5,4,7,6,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [9,6,10,1,3,2,5,4,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [10,1,3,2,6,5,9,4,8,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,4,8,5,10,1,3,2,7,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [8,1,4,3,7,2,6,5,10,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [10,1,4,3,7,2,6,5,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,2,6,5,10,1,4,3,8,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,1,4,3,8,5,9,2,7,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,5,4,9,2,6,3,8,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [4,7,6,2,3,1,5,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,7,6,1,3,2,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [7,2,6,5,4,3,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [3,2,1,9,5,8,7,6,4]=>[1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [6,3,5,4,2,1,9,8,7]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>1 [4,3,2,1,9,7,8,6,5]=>[1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [2,8,1,3,5,6,4,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,3,4,7,8,5,1]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [7,6,3,1,8,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,1,3,6,8,5,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,6,3,8,1,5,2,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,6,4,7,8,5,3,2]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [7,2,5,8,6,1,3,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,1,4,6,3,2,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,4,5,8,6,2,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,7,2,3,8,4,1,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [2,7,8,1,5,4,3,6]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [1,8,3,7,5,2,6,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,3,6,5,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,3,8,5,2,6,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,7,1,5,2,6,8,3]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [7,4,1,5,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,6,2,4,5,1,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,5,2,1,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,5,2,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,4,1,5,6,2,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,5,3,6,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,4,7,3,5,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,6,3,1,7,8,4,5]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [2,1,7,8,3,5,4,6]=>[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>5 [1,5,8,6,7,4,2,3]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [4,7,6,5,8,1,3,2]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,1,4,7,6,8,3,2]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [5,6,4,7,1,8,3,2]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [5,3,7,4,6,1,8,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [4,1,5,7,8,6,3,2]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>72 [3,6,7,1,5,4,8,2]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>100 [3,6,4,7,5,8,2,1]=>[1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>120 [9,1,2,3,4,8,6,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,8,5,6,4,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,2,9,4,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [9,1,8,3,4,5,6,2,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,4,5,9,7,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,2,3,4,9,6,7,5,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,10,5,6,7,4,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,1,2,9,4,5,6,7,3,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,9,3,4,5,6,7,2,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,2,1,3,4,5,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [11,1,2,3,4,5,6,10,8,7,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,3,8,5,4,7,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [11,1,2,3,4,5,10,7,8,6,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [11,1,2,3,10,5,6,7,8,4,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,2,1,4,5,6,7,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,7,3,2,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [11,1,2,10,4,5,6,7,8,3,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [3,9,1,4,2,5,6,8,7]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [10,1,11,3,4,5,6,7,8,2,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,2,3,1,4,5,6,9,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [10,2,1,3,4,5,6,7,9,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,10,2,3,4,5,6,7,8,1,9]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [6,4,7,1,5,2,8,3]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [4,8,1,3,5,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,3,4,5,2,6,7,8,9]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>4 [1,2,3,4,5,7,8,6,9,10]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,2,3,4,5,7,8,9,6,10]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>4 [2,3,4,5,1,6,7,9,8]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>8 [2,1,4,5,3,6,7,8,9]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,3,2,5,4,6,7,8,9]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [4,1,7,2,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,5,1,7,2,8,6,3]=>[1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>72 [2,8,5,3,6,7,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,3,4,5,9,8,6,7,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>40 [8,3,5,2,6,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,6,3,4,7,5,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,9,5,3,6,7,8,4,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [9,4,2,5,6,7,8,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [4,7,1,8,5,3,6,2]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [6,4,7,2,5,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [7,1,4,3,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,8,7,3,5,1,6,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,7,1,6,2,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,5,1,6,4,3,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,5,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,2,1,5,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,2,1,6,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,2,8,5,4,6,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,7,1,4,8,5,3,2]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,3,2,8,5,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,1,7,3,2,8,5,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [8,3,5,2,4,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,3,7,8,6,1,5,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [6,1,3,7,8,5,4,2]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [8,7,9,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,8,10,1,4,5,6,7,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [11,10,2,1,4,5,6,7,8,9,3]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [3,6,8,5,4,2,1,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,6,3,7,2,8,4,1]=>[1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>60 [4,5,1,8,6,2,7,3]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [5,6,1,8,7,2,3,4]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [4,5,1,6,8,7,3,2]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [3,9,2,4,5,6,7,8,1]=>[1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>28 [3,8,6,1,5,2,4,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [3,2,8,1,5,6,4,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,8,7,3,2,1,4,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,4,7,6,8,2,1,5]=>[1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>120 [2,8,1,3,7,5,6,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,7,2,5,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [7,6,1,2,5,8,4,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,4,7,1,5,8,2,6]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [4,2,7,1,5,8,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [1,8,2,5,7,3,4,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,5,1,3,8,4,7,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [1,7,4,8,5,3,2,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,3,1,6,8,4,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,1,4,6,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,7,5,6,8,2,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [3,4,7,8,5,2,6,1]=>[1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>150 [4,8,1,7,5,6,3,2]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,8,7,5,2,6,3,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,4,5,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,3,6,4,2,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,4,7,5,8,2,6,3]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [1,7,2,5,6,3,4,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,5,8,2,6,3,4,7]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [6,8,3,2,7,5,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,3,6,8,1,2,5,4]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,7,2,1,3,6,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [10,11,8,1,2,3,4,5,6,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>10 [6,4,7,5,2,3,1,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [5,1,4,7,8,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [1,6,7,2,8,5,4,3]=>[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>20 [5,3,2,1,7,8,6,4]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [7,4,3,8,6,1,5,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,3,7,1,5,8,6,2]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [8,2,4,5,3,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,3,1,6,2,7,4,10,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [9,5,3,1,6,2,7,4,10,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>2 [9,6,2,1,3,7,4,10,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [4,8,7,2,6,1,3,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,8,2,1,7,3,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,8,4,1,7,3,2,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [7,5,4,3,1,2,6,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>1 [6,3,1,8,2,7,5,4]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,1,3,2,5,7,8]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>1 [4,1,7,8,3,2,5,6]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [5,4,7,1,3,6,2,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [7,6,2,8,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,8,2,1,3,6,4,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,6,4,3,5,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [7,6,3,5,4,2,1,9,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [8,5,1,7,3,4,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,6,3,4,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [9,8,6,1,2,3,4,5,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,5,1,2,3,4,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,4,1,2,3,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,5,3,1,2,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,1,2,6,4,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,1,2,6,5,3,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,7,8,6,2,3,5,1]=>[1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>120 [7,1,2,4,8,6,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,7,5,6,4,8,1,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,8,3,6,5,7,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [9,8,4,7,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,3,7,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,3,8,7,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,2,8,7,6,5,4,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,5,7,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,4,6,5,7,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,4,7,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,3,6,5,4,7,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,4,8,7,6,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,3,7,6,5,4,8,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,2,7,6,5,4,3,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,3,9,8,7,6,5,4,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,9,8,7,6,5,4,3,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,4,3,1,6,5,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,4,1,2,3,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>2 [7,8,5,6,2,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,3,8,6,2,4,1,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,7,4,6,3,8,1,5]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [5,4,7,8,6,2,1,3]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [2,7,4,8,3,1,5,6]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [8,2,1,3,7,4,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,5,8,2,3,4,7,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,8,2,3,6,4,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,1,2,7,5,3,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,1,3,7,5,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,5,1,8,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,2,4,1,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,2,3,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,2,3,6,4,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,7,2,5,3,8,1,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,5,7,4,2,8,1,6]=>[1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>180 [4,6,8,5,1,2,3,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [3,4,7,6,1,8,2,5]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [8,5,2,1,6,3,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,8,5,3,2,4,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [9,10,2,1,6,4,3,5,7,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [7,10,2,1,8,4,3,5,6,9]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [2,9,1,10,7,4,3,5,6,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>56 [10,8,5,2,1,6,3,4,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,5,2,1,10,6,3,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,7,2,1,8,5,3,4,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,2,1,10,7,5,3,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,6,2,1,7,3,8,4,5,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,2,1,10,6,3,7,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,8,6,3,1,4,2,5,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,3,1,8,4,2,5,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,3,1,10,7,4,2,5,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,8,5,1,6,3,2,4,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,5,1,10,6,3,2,4,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,7,1,8,5,3,2,4,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,10,7,5,3,2,4,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [10,6,1,7,3,2,8,4,5,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,10,6,3,2,7,4,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [10,8,4,1,5,2,6,3,7,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,4,1,10,5,2,6,3,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,7,1,8,4,2,5,3,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,10,7,4,2,5,3,6,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [10,6,1,7,2,8,4,3,5,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,10,6,2,7,4,3,5,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [10,5,1,6,2,7,3,8,4,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,10,5,2,6,3,7,4,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [8,6,1,3,2,7,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,5,2,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,5,4,1,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,1,2,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,2,8,5,7,1,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [6,8,7,4,5,3,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,2,6,7,4,8,3,1]=>[1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>48 [6,5,8,1,7,3,2,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [6,4,8,1,5,2,3,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,2,4,1,6,3,5,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,6,1,5,3,4,8,7]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [3,8,7,5,4,2,6,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [5,7,8,2,3,6,4,1]=>[1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>90 [2,8,7,3,1,4,5,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [10,2,3,1,4,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,2,3,4,1,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,4,5,7,6,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,5,4,6,7,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,6,5,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,10,9,8,5,7,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,4,5,7,6,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,4,5,3,7,6,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,3,5,7,6,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,5,4,6,3,7,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,4,3,6,7,5,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,5,4,6,7,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,10,9,8,6,5,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [3,8,6,7,5,4,2,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [7,8,5,1,4,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,2,7,5,4,6,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,6,3,1,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,7,1,3,2,8,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [6,4,7,5,3,2,8,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [8,4,6,3,1,5,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,1,4,5,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,3,4,2,1,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [6,4,8,3,1,5,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,4,2,3,5,1,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,7,1,5,4,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [5,8,4,1,3,2,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,3,8,6,2,4,7,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,5,1,6,4,3,8,7]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>12 [3,6,2,8,5,7,1,4]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,6,8,1,5,7,2,3]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,6,5,8,1,7,3,2]=>[1,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0]=>100 [4,8,1,2,7,5,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,1,6,8,7,2,3]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [3,4,7,2,5,8,6,1]=>[1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>90 [2,5,8,7,3,1,4,6]=>[1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>80 [9,8,7,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,3,2,1,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [3,8,7,2,6,1,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,4,5,1,6,7,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,4,7,3,2,1,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,6,8,4,2,7,1,3]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [7,2,3,5,6,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,8,1,3,4,7,2,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,5,6,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,4,5,3,1,6,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,6,3,1,4,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [3,7,4,6,2,1,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [5,4,1,7,8,6,2,3]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,3,4,7,8,1,6,2]=>[1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>24 [5,1,4,8,2,3,7,6]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [3,2,8,5,4,1,6,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [7,8,9,1,3,4,5,6,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [1,2,8,3,4,6,5,7]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [8,1,2,7,3,5,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,1,2,6,3,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [1,2,7,5,6,3,4,8]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [5,1,4,7,2,3,6,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [4,8,1,2,3,6,5,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,8,5,4,3,2,1,9,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>42 [7,9,6,5,4,3,2,1,10,8]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0]=>56 [6,2,3,8,7,1,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,2,3,6,4,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,3,6,4,8,1,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,7,5,1,3,2,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,7,2,4,1,8,3,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [6,7,2,5,4,1,3,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [7,1,3,5,4,2,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,6,8,2,4,5,3,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,2,8,6,5,1,3,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [3,8,5,4,7,1,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [6,3,2,4,8,7,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,3,2,7,4,1,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,6,5,8,1,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,7,1,5,8,6,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [7,2,4,1,6,8,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,4,7,2,3,8,5,1]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [6,1,8,5,7,4,2,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,1,4,3,6,5,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,1,5,6,3,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,1,8,5,4,7,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [7,6,1,5,4,2,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,1,6,8,7,2,4,3]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [4,6,7,5,3,1,8,2]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [5,3,2,6,8,7,4,1]=>[1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>18 [5,4,6,2,8,7,3,1]=>[1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>24 [4,5,8,6,7,2,3,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [7,4,8,6,3,5,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,4,3,6,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,3,4,7,8,6,1,5]=>[1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>64 [6,3,7,1,4,2,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [8,5,7,6,2,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,6,7,8,2,5,1]=>[1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>288 [2,5,6,7,3,8,1,4]=>[1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>192 [2,5,6,7,8,9,3,1,4]=>[1,1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1024 [5,8,4,6,2,1,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,6,8,3,4,2,7,5]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [4,1,7,6,2,8,3,5]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [4,1,8,2,7,5,3,6]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,7,2,8,5,3,6]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [7,1,6,3,5,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,7,3,2,8,4,1,6]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [2,8,6,1,7,5,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,1,5,2,7,4,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,2,8,5,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [2,6,8,1,7,5,3,4]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [3,1,8,7,5,6,4,2]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [5,1,8,7,6,3,4,2]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [8,2,7,5,3,6,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,3,1,5,6,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,5,7,6,1,3,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [1,8,7,2,6,4,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,2,1,6,4,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,4,7,6,2,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,7,1,6,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,1,7,3,6,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,6,2,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,1,8,7,3,6,2]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [3,8,5,2,6,7,4,1]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [4,3,8,5,2,6,1,7]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [5,7,4,1,2,6,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [2,8,6,7,5,3,1,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [7,4,5,2,6,3,1,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [8,6,3,4,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,3,5,4,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,4,5,1,3,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,5,3,1,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,7,3,1,2,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,3,5,1,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,8,3,2,6,1,7,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [7,5,4,3,6,1,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,6,8,5,3,1,2,7]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,6,8,4,3,7,2,1]=>[1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>75 [7,5,8,4,2,1,6,3]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,4,1,5,3,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,5,3,4,1,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,8,5,4,3,6,1,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,6,5,3,1,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,6,5,3,2,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,6,7,2,3,8,4,1]=>[1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>75 [8,4,2,6,5,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,4,2,8,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [6,2,5,7,1,4,3,8]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>4 [4,8,5,3,1,2,6,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,5,2,4,6,1,3,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,1,5,7,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,7,2,1,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [6,7,3,1,2,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [3,1,8,7,6,2,5,4]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [3,6,2,5,7,8,4,1]=>[1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>90 [2,7,4,6,8,3,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [3,7,6,8,1,5,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [2,7,4,6,8,5,3,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [3,7,6,8,5,1,4,2]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [7,1,3,8,6,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,7,1,8,6,5,3,4]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [2,3,4,5,7,6,8,9,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>96 [2,3,4,5,8,7,6,9,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>64 [5,3,4,7,6,2,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [4,1,8,5,7,2,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [4,1,8,2,7,5,6,3]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [7,6,8,2,4,3,5,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,4,5,3,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,6,1,4,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,7,2,6,4,5,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,4,6,8,5,3,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,5,1,6,4,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [2,7,1,5,6,4,8,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [2,8,1,5,6,4,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,7,2,8,1,5,6,4]=>[1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>75 [7,3,2,5,1,6,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [8,7,2,1,3,6,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,8,1,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,6,2,1,8,4,7,5]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [8,7,4,2,1,6,5,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,4,7,6,2,1,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [3,5,2,8,7,1,6,4]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [3,7,6,5,4,1,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [9,3,10,1,2,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [10,3,1,9,2,4,5,6,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,6,7,4,3,1,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,1,8,5,3,2,6]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [8,6,7,1,4,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,7,2,1,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,5,6,1,7,4,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,1,2,5,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,1,5,4,2,7,3,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [6,4,2,3,1,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [3,4,6,1,8,2,7,5]=>[1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>108 [6,4,5,2,7,1,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [7,4,3,5,1,6,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,5,3,6,2,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [6,4,3,7,1,8,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [3,1,2,7,6,4,5,8]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [5,1,2,7,6,3,4,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [3,5,6,8,1,2,7,4]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [2,3,7,1,5,6,4,8]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>10 [6,1,5,4,2,7,8,3]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [2,8,6,5,1,3,7,4]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,1,8,6,2,7,4,3]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [3,6,8,2,7,5,1,4]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,6,4,1,7,2,8,3]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>30 [3,8,6,1,5,7,4,2]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,1,6,3,4,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,2,3,1,6,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,4,2,3,7,8,1,5]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [9,8,10,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [8,7,9,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,9,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,7,6,5,4,2,3,1]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [10,7,1,2,3,4,8,9,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,2,4,3,1,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,1,4,3,7,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,8,2,1,5,3,4]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,6,2,5,1,3,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,6,8,3,2,4,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [5,7,2,6,4,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,3,5,7,4,2,8,1]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [7,6,4,8,5,3,1,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,2,1,6,4,7,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,3,8,5,6,4,1]=>[1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>30 [1,2,8,5,7,4,6,3]=>[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,6,8,5,4,7,2,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [5,7,1,8,3,2,6,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [2,1,3,8,6,4,7,5]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [8,2,5,4,3,7,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,4,3,7,6,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,5,3,4,7,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,8,7,4,5,3,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [1,5,8,6,4,3,7,2]=>[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,6,4,2,1,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [2,6,1,8,4,7,5,3]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [5,3,8,6,1,2,7,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,8,1,4,6,2,7,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,6,2,1,4,8,5]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [6,8,7,5,1,3,4,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,4,3,2,7,8,5,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [2,7,6,1,5,3,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [7,8,6,4,2,5,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,4,5,8,7,1,3,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,1,7,8,3,2,5]=>[1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>16 [2,3,4,5,8,6,7,9,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>64 [2,3,4,5,9,6,8,7,1]=>[1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>40 [9,3,4,5,2,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,4,3,8,7,2,5,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,4,7,2,1,3,8,6]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [7,8,2,3,4,5,1,6,9]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>7 [1,8,9,3,4,5,6,2,7]=>[1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [3,7,4,6,1,5,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [4,6,7,5,8,2,1,3]=>[1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>200 [4,8,3,5,1,2,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,1,3,7,2,8,4,5]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [3,8,5,4,1,7,2,6]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,5,3,1,7,4,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [6,5,2,3,7,1,8,4]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [7,2,1,6,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,2,4,5,7,1,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [2,3,8,7,1,4,6,5]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [4,2,7,5,6,8,1,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [6,8,2,5,4,7,3,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [9,2,3,4,5,1,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,2,3,4,5,6,7,1,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,3,4,5,6,1,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,3,4,5,1,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,2,3,4,1,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,7,6,3,8,4,5,1]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [4,6,8,2,3,1,7,5]=>[1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>150 [4,7,2,3,5,1,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [6,4,2,1,3,7,5,8]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>2 [10,7,1,2,3,4,5,9,6,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,6,4,2,8,7,1,3]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [5,7,4,2,6,1,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [5,4,7,1,6,2,8,3]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [4,5,8,7,6,2,1,3]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [6,4,7,1,2,3,8,5]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>10 [10,4,5,6,9,3,8,2,7,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,9,5,4,3,8,2,7,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,4,5,6,8,2,7,1,9,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,8,2,7,1,9,5,4,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,2,6,7,1,9,5,4,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,5,4,3,10,7,1,8,2,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [4,10,8,2,5,6,7,1,9,3]=>[1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [10,8,2,5,6,7,1,9,4,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,3,10,4,5,7,1,8,2,6]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,4,3,10,5,7,1,8,2,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [9,4,3,10,7,1,8,2,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [5,10,7,1,8,2,4,3,9,6]=>[1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [10,5,7,1,9,4,2,6,8,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,4,2,5,6,7,1,10,8,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [10,5,7,1,8,3,9,4,2,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,1,8,3,9,4,2,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [6,1,7,3,8,4,5,2]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,2,3,1,6,4,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,7,2,3,4,6,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,3,7,6,2,5,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,2,3,6,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,5,7,6,3,8,4,1]=>[1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>120 [6,4,7,1,2,5,3,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [1,2,7,5,8,6,3,4]=>[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [2,1,9,8,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,9,8,7,6,4,3,5]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,9,8,7,6,3,5,4]=>[1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,1,10,9,8,7,6,5,3,4]=>[1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,5,1,6,8,2,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [1,7,8,4,2,6,3,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [6,3,2,5,7,4,1,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [6,2,1,5,3,7,8,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>4 [6,2,5,1,3,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,2,8,5,1,3,7,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [10,9,7,3,6,1,2,4,8,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,3,6,1,2,4,10,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [9,6,1,2,4,10,7,3,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [10,8,4,9,7,3,6,1,2,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,3,8,4,9,6,1,2,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,1,2,7,3,8,4,9,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,6,1,3,7,2,4,8,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,6,1,3,7,2,4,10,8,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [10,7,2,4,9,6,1,3,8,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,4,9,6,1,3,7,2,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,6,1,3,8,4,10,7,2,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [10,7,2,6,1,3,8,4,9,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,3,6,1,4,9,7,2,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,6,1,4,8,3,7,2,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,6,1,4,10,8,3,7,2,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,8,3,7,2,6,1,4,9,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,4,10,8,3,7,2,6,1,5]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [4,1,7,8,3,6,5,2]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [6,4,2,1,7,3,5,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [5,8,4,2,1,3,6,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,3,6,7,8,9,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>324 [5,3,4,6,7,8,9,1,2]=>[1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>81 [1,7,5,8,4,3,6,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [5,8,1,6,4,7,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,5,1,2,7,4,8,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [3,6,5,7,8,2,4,1]=>[1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>160 [3,6,5,1,8,7,4,2]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [7,8,1,2,5,4,3,6]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [2,8,4,3,5,1,7,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,2,4,7,6,8,1,3]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [4,1,7,6,8,2,5,3]=>[1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>40 [7,2,6,4,1,5,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [7,3,5,6,1,4,2,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,8,3,1,6,7,4,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,5,8,1,7,3,6,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,7,1,6,8,5,2,3]=>[1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>80 [5,8,7,1,6,4,2,3]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,7,3,8,2,5,4,6]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [8,4,1,3,6,7,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,1,8,6,7,4,2]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [5,7,1,6,4,2,8,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [2,7,1,6,5,8,4,3]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,7,1,4,8,6,5,3]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [6,7,5,4,1,3,2,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,2,7,1,4,3,5,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [9,5,4,3,2,1,6,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,3,4,1,2,5,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,3,2,6,5,1,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,6,5,1,4,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [2,6,8,4,7,1,3,5]=>[1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>75 [7,8,6,3,2,5,4,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,2,8,6,3,1,4,7]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [2,8,5,6,4,1,7,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,7,8,2,5,1,6,4]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [8,6,1,4,3,2,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,8,2,4,1,5,6]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,3,7,8,1,2,5,4]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [7,6,1,5,2,3,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,1,8,6,7,2,3,4]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [5,7,1,6,8,2,3,4]=>[1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>60 [6,8,4,2,1,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,3,2,8,1,7,4,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,4,1,3,7,8,5,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [6,8,5,4,3,7,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,7,4,8,3,1,2,6]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [6,1,2,4,8,3,7,5]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [7,4,1,6,5,2,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [4,5,1,7,8,6,2,3]=>[1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>96 [8,5,7,3,4,6,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,7,4,3,5,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,7,5,3,4,2,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [5,8,6,2,4,7,3,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,6,2,5,7,3,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [1,6,8,7,4,5,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,4,7,5,3,2,8,6]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>20 [1,7,4,6,8,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [8,5,6,2,4,7,3,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,8,4,2,6,1,7]=>[1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>120 [8,1,3,6,4,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,5,2,1,8,4,3,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,3,1,4,7,8,2,6]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [7,1,2,4,8,3,5,6]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,6,1,3,5,7,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,5,8,2,3,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,6,8,5,1,4,2,7]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,2,4,1,6,8,3,7]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [2,5,3,4,6,8,1,7]=>[1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>24 [4,7,1,2,5,6,3,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [6,7,3,1,8,2,4,5]=>[1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>24 [7,3,1,4,6,2,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,4,1,2,5,6,3,8]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [5,4,1,3,6,8,7,2]=>[1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>6 [5,7,4,8,1,6,3,2]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,3,1,8,4,2,6,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [4,5,3,6,8,7,1,2]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [6,1,5,4,7,3,8,2]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>6 [9,4,2,3,5,6,7,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [3,1,8,4,2,7,6,5]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,8,7,4,1,3,6,5]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,2,3,1,7,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,3,1,6,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,5,8,3,1,4,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,8,2,3,1,7,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,2,5,7,3,1,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,3,1,4,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,2,8,7,1,6,4]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [8,6,7,4,1,3,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,6,3,2,5,1,8,7]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>10 [4,8,3,2,6,5,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [4,8,3,6,5,2,7,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,6,2,5,4,7,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,4,3,8,6,1,7,5]=>[1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>15 [2,6,3,8,5,4,7,1]=>[1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>50 [6,1,3,2,5,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,8,4,2,5,3,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [6,8,4,3,5,2,7,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,1,4,6,5,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,5,4,6,1,2,8,7]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>18 [7,3,5,6,1,8,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [5,7,6,3,4,2,8,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [4,6,7,2,3,5,8,1]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>100 [6,5,4,8,7,2,3,1]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [5,8,7,4,6,3,2,1,9]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>35 [8,4,7,6,5,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [5,7,4,3,6,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [6,9,8,5,7,4,1,3,2]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [9,8,7,5,1,6,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,6,1,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [1,9,5,2,3,8,4,6,7]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,2,9,4,3,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [9,1,7,2,3,4,5,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,10,6,2,3,4,9,5,7,8]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,1,2,3,5,6,4,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,8,5,6,2,3,7,4]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [4,9,8,1,2,5,3,6,7]=>[1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>56 [1,8,3,9,4,2,5,6,7]=>[1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [7,2,4,6,8,1,5,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,2,5,4,7,8,1,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [3,8,2,6,1,7,4,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [8,5,6,1,3,2,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,3,7,8,2,6,1,4]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [4,5,8,3,6,1,7,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,5,8,7,2,3,1,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,2,6,4,3,7,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,1,8,7,4,5,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,6,3,2,7,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,7,1,3,6,2,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [4,7,5,2,3,6,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,7,1,3,2,5,8,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,7,1,3,2,6,8,5]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,7,1,3,6,2,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,8,2,5,7,3,1,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,8,5,2,3,6,1,7]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,3,4,7,2,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,5,4,2,8,1,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [4,6,5,1,7,8,2,3]=>[1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>90 [4,7,1,3,2,8,5,6]=>[1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>60 [3,6,5,1,8,2,4,7]=>[1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>60 [5,8,7,3,4,2,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,6,5,4,1,9,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [8,7,6,5,2,9,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [8,7,6,3,9,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [8,7,4,9,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [8,5,9,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [6,9,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>56 [9,8,7,6,5,4,1,10,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [10,9,8,7,6,5,4,2,1,3,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,6,5,2,1,4,3,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,7,6,5,2,10,1,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>4 [10,9,8,7,6,5,3,2,1,4,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,6,3,2,5,1,4,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,6,5,1,9,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [9,8,7,6,3,10,2,1,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>5 [10,9,8,7,6,4,3,2,1,11,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [8,7,4,3,6,2,1,9,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>2 [8,7,6,2,9,5,1,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [9,8,7,4,10,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,9,8,7,5,4,3,2,1,6,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,5,4,7,3,2,1,6,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,7,3,9,6,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [9,8,5,10,4,3,2,1,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,9,8,6,5,4,3,2,1,7,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1 [6,5,8,4,3,2,1,7,9]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>15 [8,4,9,7,3,2,1,6,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,6,10,5,4,3,2,1,7,8]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [10,9,7,6,5,4,3,2,1,11,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [5,9,8,4,3,2,1,6,7]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [7,10,6,5,4,3,2,1,9,8]=>[1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>84 [10,8,7,6,5,4,3,2,1,9,11]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1 [8,5,2,3,7,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,1,5,4,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [4,7,6,3,5,2,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [5,8,2,3,4,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,3,2,6,4,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,1,4,7,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,4,8,5,7,2,6,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [8,5,1,2,7,6,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [10,7,8,1,2,3,4,5,6,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,2,6,3,1,5,4,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [3,7,8,5,6,2,4,1]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [7,4,3,6,2,5,8,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,3,8,7,1,6,2,5]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [8,2,3,1,6,5,7,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,7,1,3,6,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,2,3,1,6,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,7,2,3,6,5,8,1]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [3,8,2,6,4,7,1,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,7,5,8,6,2,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [6,5,1,7,4,8,3,2]=>[1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>12 [10,9,8,6,7,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,6,3,5,1,4,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,4,1,7,2,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [8,3,6,1,7,4,5,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,6,4,8,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,5,1,8,6,2,4,7]=>[1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>60 [8,7,5,6,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [8,6,5,7,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,7,6,4,3,2,5,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,4,3,5,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,5,6,7,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [10,9,7,6,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,7,6,9,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,9,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [7,6,5,3,2,1,4,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>1 [9,8,7,6,4,3,5,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,4,3,2,5,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,7,6,4,5,2,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,4,3,5,2,1,10]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [9,8,7,6,5,3,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,8,7,5,4,6,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [8,1,6,7,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,6,4,7,5,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,8,1,5,3,7,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,1,4,3,7,8,6,2]=>[1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>9 [5,7,1,8,6,3,2,4]=>[1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>75 [5,7,6,3,4,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [8,7,6,5,4,2,3,1,9]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,10,9,8,6,5,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,9,8,6,5,7,4,3,1]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [7,2,6,1,3,5,8,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,2,7,1,5,8,3,4]=>[1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>15 [5,8,3,6,7,2,4,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,6,2,5,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,1,5,3,6,8,4]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>12 [6,8,7,3,4,2,5,1]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,8,6,2,4,7,5,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,3,6,4,2,1,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,7,3,6,4,1,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [3,7,5,6,4,1,8,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [9,6,7,4,5,2,3,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,6,5,4,3,7,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [2,8,5,7,3,4,6,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,8,4,1,6,3,7,5,9]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>7 [6,7,2,3,5,8,1,4]=>[1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>18 [7,4,5,8,2,3,1,6]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [2,1,3,8,5,4,6,7]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [5,3,6,8,2,4,1,7]=>[1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>40 [1,7,8,6,3,2,4,5]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,1,2,5,3,8,4,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,7,4,2,5,1,8,6]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [1,8,3,4,5,7,2,6]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [2,6,7,5,3,8,1,4]=>[1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>75 [4,5,2,6,8,7,1,3]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [4,5,2,6,8,3,1,7]=>[1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>72 [5,1,2,4,3,6,7,8,9]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>1 [7,1,2,3,4,6,5,8,9]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>1 [4,5,7,6,2,1,3,8]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>40 [7,8,2,6,5,4,3,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [5,3,7,8,4,2,1,6]=>[1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>50 [7,3,6,8,1,5,4,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,5,8,2,4,3,6,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [6,5,8,2,3,4,1,7]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [8,1,5,3,4,6,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,8,7,2,4,3,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [1,7,2,4,8,5,6,3]=>[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>4 [5,8,2,3,7,4,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,8,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [8,4,1,3,2,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,7,2,3,5,4,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,7,6,8,4,5,3,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [2,7,3,1,8,5,6,4]=>[1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>24 [3,8,5,2,1,6,7,4]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [10,1,2,9,6,3,4,5,7,8]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [2,8,6,1,5,7,4,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [8,3,5,1,7,6,4,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,5,4,7,1,6,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,1,5,7,8,2,3]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [4,8,7,1,2,5,3,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,2,6,1,4,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,1,7,3,8,2,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [7,1,8,6,4,2,3,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [4,1,3,5,8,2,6,7]=>[1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>8 [1,8,5,7,4,6,3,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,4,7,6,8,3,5,2]=>[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>40 [1,7,2,8,6,5,3,4]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [5,7,1,6,4,2,3,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [4,8,2,7,5,1,6,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [2,8,4,6,7,1,5,3]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [3,8,5,1,4,2,6,7]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [2,8,5,1,4,3,6,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [9,7,6,5,4,3,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,9,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,9,8,5,6,7,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,9,8,5,4,6,7,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,9,5,6,7,8,4,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,9,5,4,6,7,8,3,2]=>[1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,10,4,5,6,7,8,9,3,2]=>[1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [5,1,7,3,2,6,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [4,7,2,3,5,1,6,8]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>20 [4,8,2,3,7,5,1,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,7,2,4,3,5,6,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,4,3,5,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,2,4,7,3,5,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,2,8,4,5,1,3]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [6,8,1,5,7,3,2,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [4,1,7,5,6,8,2,3]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,7,6,2,1,4,5,8]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [1,6,8,7,2,5,4,3]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [1,2,3,4,7,5,6,9,8]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [3,1,8,4,5,2,7,6]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [2,3,7,6,1,8,4,5]=>[1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>30 [4,8,5,2,1,3,7,6]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,4,2,1,3,7,6]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [9,8,7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,4,1,5,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,6,1,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,1,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,2,5,3,1,8,7,4]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,2,5,3,8,7,1,4]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [6,4,5,3,8,7,1,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,4,7,5,2,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,7,4,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,4,7,5,3,1,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,2,6,7,5,3,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,4,6,7,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,4,5,8,7,3,1,2]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,8,7,5,3,1,4]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,6,5,3,8,7,1,2]=>[1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>60 [6,7,2,4,5,3,1,8]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>6 [6,8,7,4,5,3,1,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [2,8,4,7,5,3,1,6]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [5,8,7,4,6,3,1,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [6,5,8,4,7,2,1,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [4,8,6,2,5,7,1,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [8,1,6,2,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,8,1,2,4,7,3,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [8,1,5,3,2,7,4,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,3,7,6,2,5,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,7,4,5,6,8,9,3]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [6,2,7,1,8,3,4,5]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [6,4,5,8,1,7,2,3]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [6,2,8,5,1,4,7,3]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [9,7,5,3,8,6,4,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,8,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [7,4,5,8,6,3,2,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [8,6,9,7,4,3,2,1,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [8,6,3,2,1,4,9,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [8,6,4,9,7,5,2,1,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [10,8,6,4,9,7,5,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,4,2,1,9,7,5,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,9,10,8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [9,6,7,8,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,8,9,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,11,9,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>9 [8,5,6,9,7,4,3,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [9,7,10,8,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [8,6,3,2,1,9,7,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>4 [9,7,8,4,3,2,1,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,4,3,2,1,5,10,8,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>3 [8,6,3,4,9,7,5,2,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [8,6,9,7,3,2,1,4,5]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,5,10,8,6,3,2,1,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [11,9,7,5,10,8,6,4,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,2,3,8,6,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,6,2,1,3,4,9,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>3 [10,8,6,4,9,7,5,2,1,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,9,7,5,3,2,1,10,8,6,4]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [8,6,4,9,7,5,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [10,8,6,4,1,2,9,7,5,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,9,7,5,3,10,8,6,4,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [7,9,8,5,4,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>28 [9,8,7,6,5,2,3,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [7,4,1,3,6,8,2,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [6,8,1,2,7,3,4,5]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [1,6,8,5,7,4,3,2]=>[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>15 [3,8,1,2,4,7,6,5]=>[1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,4,5,7,3,6,8,2]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>36 [2,3,8,1,4,6,5,7]=>[1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>12 [3,1,8,4,6,2,5,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,2,7,3,5,8,1,6]=>[1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>30 [3,1,8,4,5,6,2,7]=>[1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [4,2,7,8,6,3,1,5]=>[1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>50 [7,1,4,2,8,6,3,5]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,6,3,5,1,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,2,6,8,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,4,2,6,7,3,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,1,5,7,8,6,2,3]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>72 [6,1,4,8,2,3,7,5]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [7,6,2,3,5,8,4,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [2,8,5,7,6,3,4,1]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>7 [2,5,7,8,6,4,1,3]=>[1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>200 [7,4,1,6,2,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [1,7,5,4,6,2,3,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [6,2,7,5,3,1,4,8]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>5 [6,1,7,4,8,5,2,3]=>[1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>20 [8,2,4,6,3,1,7,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,6,2,4,8,7,3,1]=>[1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>30 [8,5,6,2,3,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,8,9,1,4,5,6,2,3]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,9,1,4,5,6,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,9,1,5,6,3,4,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,9,1,5,6,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,9,1,6,5,4,3,2]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,9,1,5,6,7,3,4,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,1,5,6,7,4,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,1,6,7,4,5,2,3]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,1,6,7,4,5,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,1,6,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,1,7,8,5,6,3,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,1,7,8,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,10,1,6,7,8,3,4,5,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,6,7,8,4,5,2,3]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,6,7,8,4,5,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,6,7,8,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,7,8,5,6,3,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,7,8,5,6,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,1,7,8,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,1,8,9,6,7,4,5,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,8,9,6,7,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,1,8,9,7,6,5,4,3,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,3,1,2,5,4,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,3,7,4,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,2,6,7,8,3,5,4]=>[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>16 [8,1,2,6,5,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,2,6,5,8,3,4]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,4,8,3,5,6,2,1]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [3,1,7,5,2,6,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [3,2,7,5,1,6,8,4]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [5,2,7,3,1,6,8,4]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>20 [6,7,2,1,3,4,8,5]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [2,3,4,5,7,9,6,8,1]=>[1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>144 [5,9,8,7,6,4,3,1,2]=>[1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>70 [4,5,8,7,6,3,1,2]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [8,7,4,6,5,3,1,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,5,8,7,6,4,3,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [6,10,9,8,7,5,4,3,1,2]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [8,1,4,3,6,2,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,5,7,6,4,3,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,6,3,7,8,4,2,5]=>[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>16 [5,3,8,4,6,7,2,1]=>[1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>20 [4,3,5,8,6,7,2,1]=>[1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>30 [3,2,7,8,5,6,4,1]=>[1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>25 [4,7,3,8,5,6,2,1]=>[1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>100 [7,1,4,8,5,6,3,2]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [4,3,8,7,2,5,6,1]=>[1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>15 [1,7,3,8,6,4,5,2]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [7,4,2,8,5,6,3,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [3,4,8,2,6,7,5,1]=>[1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>45 [5,2,1,3,8,4,6,7]=>[1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>4 [2,1,3,8,6,4,5,7]=>[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [6,1,4,3,5,8,2,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,5,1,3,8,2,4,7]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [4,1,3,8,6,2,5,7]=>[1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>5 [7,1,5,4,6,3,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,4,7,8,3,5,1,2]=>[1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>25 [3,5,6,7,1,8,4,2]=>[1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>288 [3,7,6,1,4,8,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [8,4,7,1,5,6,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,7,8,3,6,1,5,4]=>[1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>36 [1,7,8,3,6,2,5,4]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [7,4,3,5,8,1,6,2]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,3,6,4,1,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,8,4,3,6,1,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [7,1,6,4,3,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,7,3,4,1,5,2,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,4,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [4,5,8,1,7,3,2,6]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [4,6,7,1,3,8,2,5]=>[1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>150 [2,6,3,1,4,7,8,5]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>20 [2,9,3,4,5,6,1,7,8]=>[1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>8 [2,7,3,4,1,8,5,6]=>[1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>18 [2,8,3,4,5,1,6,9,7]=>[1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>14 [8,6,4,5,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,8,5,3,6,1,2]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [8,4,6,5,1,3,7,2]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,3,8,7,1,2,6]=>[1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>40 [8,5,4,7,6,1,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [2,3,7,8,1,4,6,5]=>[1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>50 [8,2,3,5,4,1,7,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,1,3,8,2,4,6,5]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [7,2,3,6,4,1,8,5]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,5,2,4,1,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [5,7,2,4,1,3,8,6]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [6,2,5,4,1,8,3,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [7,4,2,6,8,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [8,5,2,4,6,3,1,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,4,1,2,8,5,6,3]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [6,4,1,8,5,2,3,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,4,1,6,3,5,2,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,3,4,1,6,8,5,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [8,6,2,3,5,7,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,6,2,5,7,3,4,1]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [6,3,4,8,5,1,2,7]=>[1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>10 [8,5,1,2,7,4,6,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,2,6,8,3,4,5,1]=>[1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>5 [1,8,5,4,2,6,3,7]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,2,6,7,8,9,1,4,3]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [5,2,6,7,8,9,10,1,3,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1024 [8,9,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,7,9,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,8,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,10,8,7,6,5,4,1,3,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,8,7,6,5,4,3,2,9,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [5,7,3,6,2,1,4,8]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>15 [5,8,6,1,2,4,3,7]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [5,7,2,1,6,8,4,3]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [2,6,3,1,7,8,5,4]=>[1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>45 [6,2,5,7,4,1,8,3]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>8 [3,6,1,8,7,4,5,2]=>[1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>100 [10,2,3,4,5,6,7,8,9,11,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [7,8,4,5,6,1,3,9,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>14 [11,2,3,4,5,6,7,8,9,10,12,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0]=>2 [8,9,4,5,6,7,1,3,10,2]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>16 [6,8,4,5,1,3,7,9,2]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>42 [4,7,1,3,5,6,8,2]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>40 [4,3,5,7,8,2,6,1]=>[1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>72 [8,3,4,9,6,7,2,5,1]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [5,3,2,7,6,4,1,8]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [5,3,7,4,6,2,1,8]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>10 [5,7,3,2,1,8,6,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,7,6,3,2,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [3,2,7,5,4,1,8,6]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>10 [1,7,3,5,4,2,6,8]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [5,3,7,4,1,8,6,2]=>[1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>30 [7,3,5,4,1,6,8,2]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [7,5,1,6,8,3,2,4]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [5,3,1,7,6,8,2,4]=>[1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>18 [7,1,5,3,2,4,8,6]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [6,8,7,3,2,1,5,4]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [3,6,8,7,2,4,1,5]=>[1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>150 [5,7,3,6,2,1,8,4]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [7,8,9,3,4,5,1,2,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,9,3,4,5,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,9,4,5,2,3,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [7,8,9,4,5,3,2,1,6]=>[1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>49 [8,9,4,5,6,2,3,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,4,5,6,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,5,6,3,4,1,2,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,5,6,3,4,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [8,9,5,6,4,3,2,1,7]=>[1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>8 [9,6,7,4,5,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,10,5,6,7,2,3,4,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,5,6,7,3,4,1,2,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,5,6,7,3,4,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,5,6,7,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,6,7,4,5,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,6,7,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [10,7,8,5,6,3,4,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,8,5,6,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,7,8,6,5,4,3,2,1,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [1,8,3,6,2,4,7,5]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,8,7,5,6,4,2,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [6,8,2,1,5,4,3,7]=>[1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>21 [10,9,1,2,3,7,8,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,1,2,8,7,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,1,10,7,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,4,1,2,3,7,8,9,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,11,1,2,3,4,8,9,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>10 [10,3,1,2,9,7,8,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,11,1,2,3,9,8,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>10 [2,9,1,10,8,7,3,4,5,6]=>[1,1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>56 [11,8,9,10,1,2,3,4,5,6,7]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [6,3,2,1,5,8,4,7]=>[1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>3 [6,3,5,2,7,8,4,1]=>[1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>9 [3,4,6,7,5,1,8,2]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>144 [7,4,1,2,5,6,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [4,8,2,6,7,1,5,3]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [6,5,8,3,7,1,4,2]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [9,7,1,8,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,6,1,7,2,8,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,6,1,9,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [9,8,6,1,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,5,1,9,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>6 [9,8,5,1,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,1,8,6,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,7,4,1,8,5,2,6,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,6,4,1,9,7,5,2,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>5 [9,8,6,4,1,7,5,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,7,1,8,2,9,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,1,10,8,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,9,7,1,8,2,3,4,5,6]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,6,1,7,2,8,3,9,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,6,1,10,7,2,8,3,4,5]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,9,6,1,7,2,8,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,1,9,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,6,1,7,2,3,4,5]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,5,1,10,6,2,7,3,8,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [10,9,5,1,6,2,7,3,8,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,5,1,9,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,5,1,6,2,7,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,5,1,10,8,6,2,3,4]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,9,7,5,1,8,6,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,5,1,6,2,3,4]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,7,4,1,10,8,5,2,6,3]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [10,9,7,4,1,8,5,2,6,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,4,1,5,2,6,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,8,6,4,1,9,7,5,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,6,4,1,7,5,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,4,1,5,2,3]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,7,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,8,7,6,5,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,1,2,8,4,3,5,6,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,9,3,2,4,6,5,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [9,8,2,1,3,5,6,4,7]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [8,1,9,2,4,5,6,3,7]=>[1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>7 [2,5,4,7,1,8,3,6]=>[1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>72 [1,2,6,7,3,5,4,8]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [9,10,7,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,5,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,5,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,5,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,5,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,10,7,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>9 [9,7,10,8,5,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,8,5,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,8,5,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,8,5,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,5,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,5,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,5,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,5,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,5,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,10,5,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>8 [9,7,5,10,8,6,3,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,5,10,8,6,3,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,5,10,8,3,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,5,10,8,3,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,5,10,8,3,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,5,10,3,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,5,10,3,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,5,10,3,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,5,10,3,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>7 [9,7,5,3,10,8,6,4,1,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [9,7,5,3,10,8,6,1,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [9,7,5,3,10,8,1,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [9,7,5,3,10,1,8,6,4,2]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>6 [8,1,2,4,6,3,5,7]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [4,5,6,7,8,9,3,1,2]=>[1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1024 [5,1,6,7,8,9,4,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [1,5,6,7,8,9,3,2,4]=>[1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [3,7,8,4,5,6,1,2]=>[1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>90 [5,2,6,7,8,9,3,1,4]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>256 [5,1,6,7,8,9,10,4,3,2]=>[1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>1024 [5,7,1,3,6,4,8,2]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>30 [8,2,5,4,1,7,3,6]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [8,1,7,6,4,2,3,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,8,6,3,7,4,5,2]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [5,7,3,4,2,8,6,1]=>[1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>45 [5,8,3,4,2,7,6,1]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [7,6,4,2,3,8,5,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [3,5,6,8,2,4,7,1]=>[1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>240 [4,8,7,3,2,5,6,1]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [3,7,4,2,6,8,5,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>45 [6,4,8,7,3,2,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [5,6,2,8,7,4,3,1]=>[1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>50 [6,2,8,3,7,4,5,1]=>[1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>15 [3,7,5,6,4,2,8,1]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>30 [5,2,3,8,6,1,4,7]=>[1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>10 [7,8,2,6,4,3,5,1]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [4,5,8,7,2,3,6,1]=>[1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>80 [7,8,6,1,4,2,5,3]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,10,5,1,2,3,4,7,8,9]=>[1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>126 [10,5,4,1,2,3,6,7,8,9]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [8,3,6,5,2,7,1,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [5,1,3,6,4,2,7,8]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>3 [6,1,2,4,7,5,3,8]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>3 [8,3,1,4,6,7,2,5]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,8,5,1,2,6,3,4]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [6,4,5,1,8,7,3,2]=>[1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>6 [8,6,2,1,7,3,5,4]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [9,3,4,5,6,8,7,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,4,3,5,6,7,8,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,3,4,5,6,8,7,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,8,3,4,5,7,6,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,4,3,5,6,7,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,9,4,3,5,6,7,8,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,10,3,4,5,6,7,9,8,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [10,3,4,5,6,7,9,8,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [9,3,4,5,6,2,8,7,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,2,4,5,6,8,7,3,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,4,3,5,6,7,2,8,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,3,2,5,6,7,8,4,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [10,4,3,5,6,7,8,9,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [11,10,4,3,5,6,7,8,9,2,1]=>[1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [7,8,6,1,4,3,5,2]=>[1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>7 [1,6,5,7,3,4,8,2]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>8 [8,2,6,5,1,7,4,3]=>[1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [7,6,4,1,2,5,8,3]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>2 [5,6,7,1,3,2,4,8]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>25 [7,1,8,4,3,2,6,5]=>[1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>6 [1,8,5,2,7,6,4,3]=>[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,7,6,8,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>5 [1,7,8,6,2,5,4,3]=>[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>6 [4,6,5,7,1,8,2,3]=>[1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>120 [7,5,3,6,8,4,2,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [7,2,5,6,4,8,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>3 [7,4,6,2,8,5,3,1]=>[1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>4 [9,7,6,5,4,3,8,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [9,8,6,5,4,7,3,2,1]=>[1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [5,4,3,2,1,9,7,8,6]=>[1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [10,8,7,6,5,4,3,9,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [10,9,7,6,5,4,8,3,2,1]=>[1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>1 [1,6,3,4,2,5,8,7]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [3,7,4,6,8,1,5,2]=>[1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>60 [4,8,3,1,7,6,2,5]=>[1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>35 [5,8,6,4,3,1,7,2]=>[1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>35 [4,1,3,7,8,6,5,2]=>[1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>16