=>

[1,0]=>[1]=>[1]=>[1]=> [1,0,1,0]=>[1,2]=>[1,2]=>[2,1]=>1 [1,1,0,0]=>[2,1]=>[2,1]=>[1,2]=>0 [1,0,1,0,1,0]=>[1,2,3]=>[1,2,3]=>[3,2,1]=>11 [1,0,1,1,0,0]=>[1,3,2]=>[1,3,2]=>[2,3,1]=>10 [1,1,0,0,1,0]=>[2,1,3]=>[2,1,3]=>[3,1,2]=>10 [1,1,0,1,0,0]=>[2,3,1]=>[3,1,2]=>[2,1,3]=>10 [1,1,1,0,0,0]=>[3,1,2]=>[3,2,1]=>[1,2,3]=>00 [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>111 [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[1,2,4,3]=>[3,4,2,1]=>110 [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>110 [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[1,4,2,3]=>[3,2,4,1]=>110 [1,0,1,1,1,0,0,0]=>[1,4,2,3]=>[1,4,3,2]=>[2,3,4,1]=>100 [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[2,1,3,4]=>[4,3,1,2]=>101 [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[2,1,4,3]=>[3,4,1,2]=>100 [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[3,1,2,4]=>[4,2,1,3]=>110 [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[4,1,2,3]=>[3,2,1,4]=>110 [1,1,0,1,1,0,0,0]=>[2,4,1,3]=>[4,3,1,2]=>[2,1,3,4]=>100 [1,1,1,0,0,0,1,0]=>[3,1,2,4]=>[3,2,1,4]=>[4,1,2,3]=>100 [1,1,1,0,0,1,0,0]=>[3,1,4,2]=>[4,2,1,3]=>[3,1,2,4]=>100 [1,1,1,0,1,0,0,0]=>[3,4,1,2]=>[3,1,4,2]=>[2,4,1,3]=>100 [1,1,1,1,0,0,0,0]=>[4,1,2,3]=>[4,3,2,1]=>[1,2,3,4]=>000 [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>1111 [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,5,3,2,1]=>1110 [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[5,3,4,2,1]=>1110 [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[1,2,5,3,4]=>[4,3,5,2,1]=>1110 [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,3,4]=>[1,2,5,4,3]=>[3,4,5,2,1]=>1100 [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[5,4,2,3,1]=>1101 [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[4,5,2,3,1]=>1100 [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[1,4,2,3,5]=>[5,3,2,4,1]=>1110 [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[1,5,2,3,4]=>[4,3,2,5,1]=>1110 [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,2,4]=>[1,5,4,2,3]=>[3,2,4,5,1]=>1100 [1,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>1100 [1,0,1,1,1,0,0,1,0,0]=>[1,4,2,5,3]=>[1,5,3,2,4]=>[4,2,3,5,1]=>1100 [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,2,3]=>[1,4,2,5,3]=>[3,5,2,4,1]=>1100 [1,0,1,1,1,1,0,0,0,0]=>[1,5,2,3,4]=>[1,5,4,3,2]=>[2,3,4,5,1]=>1000 [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[5,4,3,1,2]=>1011 [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[4,5,3,1,2]=>1010 [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[5,3,4,1,2]=>1010 [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[2,1,5,3,4]=>[4,3,5,1,2]=>1010 [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[3,4,5,1,2]=>1000 [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[3,1,2,4,5]=>[5,4,2,1,3]=>1101 [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[3,1,2,5,4]=>[4,5,2,1,3]=>1100 [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[4,1,2,3,5]=>[5,3,2,1,4]=>1110 [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[4,3,2,1,5]=>1110 [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,4]=>[5,4,1,2,3]=>[3,2,1,4,5]=>1100 [1,1,0,1,1,0,0,0,1,0]=>[2,4,1,3,5]=>[4,3,1,2,5]=>[5,2,1,3,4]=>1100 [1,1,0,1,1,0,0,1,0,0]=>[2,4,1,5,3]=>[5,3,1,2,4]=>[4,2,1,3,5]=>1100 [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,1,3]=>[4,1,2,5,3]=>[3,5,2,1,4]=>1100 [1,1,0,1,1,1,0,0,0,0]=>[2,5,1,3,4]=>[5,4,3,1,2]=>[2,1,3,4,5]=>1000 [1,1,1,0,0,0,1,0,1,0]=>[3,1,2,4,5]=>[3,2,1,4,5]=>[5,4,1,2,3]=>1001 [1,1,1,0,0,0,1,1,0,0]=>[3,1,2,5,4]=>[3,2,1,5,4]=>[4,5,1,2,3]=>1000 [1,1,1,0,0,1,0,0,1,0]=>[3,1,4,2,5]=>[4,2,1,3,5]=>[5,3,1,2,4]=>1010 [1,1,1,0,0,1,0,1,0,0]=>[3,1,4,5,2]=>[5,2,1,3,4]=>[4,3,1,2,5]=>1010 [1,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,4]=>[5,4,2,1,3]=>[3,1,2,4,5]=>1000 [1,1,1,0,1,0,0,0,1,0]=>[3,4,1,2,5]=>[3,1,4,2,5]=>[5,2,4,1,3]=>1100 [1,1,1,0,1,0,0,1,0,0]=>[3,4,1,5,2]=>[3,1,5,2,4]=>[4,2,5,1,3]=>1100 [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,1,2]=>[5,2,4,1,3]=>[3,1,4,2,5]=>1100 [1,1,1,0,1,1,0,0,0,0]=>[3,5,1,2,4]=>[3,1,5,4,2]=>[2,4,5,1,3]=>1000 [1,1,1,1,0,0,0,0,1,0]=>[4,1,2,3,5]=>[4,3,2,1,5]=>[5,1,2,3,4]=>1000 [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,5,3]=>[5,3,2,1,4]=>[4,1,2,3,5]=>1000 [1,1,1,1,0,0,1,0,0,0]=>[4,1,5,2,3]=>[4,2,1,5,3]=>[3,5,1,2,4]=>1000 [1,1,1,1,0,1,0,0,0,0]=>[4,5,1,2,3]=>[5,3,1,4,2]=>[2,4,1,3,5]=>1000 [1,1,1,1,1,0,0,0,0,0]=>[5,1,2,3,4]=>[5,4,3,2,1]=>[1,2,3,4,5]=>0000 [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>11111 [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>11110 [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>11110 [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]=>11110 [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>11100 [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>11101 [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>11100 [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]=>11110 [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]=>11110 [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,3,5]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]=>11100 [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>11100 [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,3,6,4]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]=>11100 [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,3,4]=>[1,2,5,3,6,4]=>[4,6,3,5,2,1]=>11100 [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,3,4,5]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>11000 [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>11011 [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>11010 [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>11010 [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]=>11010 [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>11000 [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]=>11101 [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]=>11100 [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]=>11110 [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]=>11110 [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,2,5]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]=>11100 [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,2,4,6]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]=>11100 [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,2,6,4]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]=>11100 [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,2,4]=>[1,5,2,3,6,4]=>[4,6,3,2,5,1]=>11100 [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,2,4,5]=>[1,6,5,4,2,3]=>[3,2,4,5,6,1]=>11000 [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>11001 [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>11000 [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,2,5,3,6]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]=>11010 [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,2,5,6,3]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]=>11010 [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,5]=>[1,6,5,3,2,4]=>[4,2,3,5,6,1]=>11000 [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,2,3,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>11100 [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,2,6,3]=>[1,4,2,6,3,5]=>[5,3,6,2,4,1]=>11100 [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,2,3]=>[1,6,3,5,2,4]=>[4,2,5,3,6,1]=>11100 [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,2,3,5]=>[1,4,2,6,5,3]=>[3,5,6,2,4,1]=>11000 [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,2,3,4,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>11000 [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,2,3,6,4]=>[1,6,4,3,2,5]=>[5,2,3,4,6,1]=>11000 [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,2,6,3,4]=>[1,5,3,2,6,4]=>[4,6,2,3,5,1]=>11000 [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,2,3,4]=>[1,6,4,2,5,3]=>[3,5,2,4,6,1]=>11000 [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,2,3,4,5]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>10000 [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>10111 [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>10110 [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>10110 [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[2,1,3,6,4,5]=>[5,4,6,3,1,2]=>10110 [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,4,5]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>10100 [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>10101 [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>10100 [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[2,1,5,3,4,6]=>[6,4,3,5,1,2]=>10110 [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5]=>[5,4,3,6,1,2]=>10110 [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,3,5]=>[2,1,6,5,3,4]=>[4,3,5,6,1,2]=>10100 [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,3,4,6]=>[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>10100 [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,3,6,4]=>[2,1,6,4,3,5]=>[5,3,4,6,1,2]=>10100 [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,3,4]=>[2,1,5,3,6,4]=>[4,6,3,5,1,2]=>10100 [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>10000 [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]=>11011 [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[3,1,2,4,6,5]=>[5,6,4,2,1,3]=>11010 [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[3,1,2,5,4,6]=>[6,4,5,2,1,3]=>11010 [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[3,1,2,6,4,5]=>[5,4,6,2,1,3]=>11010 [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,4,5]=>[3,1,2,6,5,4]=>[4,5,6,2,1,3]=>11000 [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]=>11101 [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[4,1,2,3,6,5]=>[5,6,3,2,1,4]=>11100 [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]=>11110 [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]=>11110 [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,1,5]=>[6,5,1,2,3,4]=>[4,3,2,1,5,6]=>11100 [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,1,4,6]=>[5,4,1,2,3,6]=>[6,3,2,1,4,5]=>11100 [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,1,6,4]=>[6,4,1,2,3,5]=>[5,3,2,1,4,6]=>11100 [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,1,4]=>[5,1,2,3,6,4]=>[4,6,3,2,1,5]=>11100 [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,1,4,5]=>[6,5,4,1,2,3]=>[3,2,1,4,5,6]=>11000 [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,3,5,6]=>[4,3,1,2,5,6]=>[6,5,2,1,3,4]=>11001 [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,5]=>[4,3,1,2,6,5]=>[5,6,2,1,3,4]=>11000 [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,5,3,6]=>[5,3,1,2,4,6]=>[6,4,2,1,3,5]=>11010 [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,5,6,3]=>[6,3,1,2,4,5]=>[5,4,2,1,3,6]=>11010 [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,5]=>[6,5,3,1,2,4]=>[4,2,1,3,5,6]=>11000 [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,1,3,6]=>[4,1,2,5,3,6]=>[6,3,5,2,1,4]=>11100 [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,1,6,3]=>[4,1,2,6,3,5]=>[5,3,6,2,1,4]=>11100 [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,1,3]=>[6,3,5,1,2,4]=>[4,2,1,5,3,6]=>11100 [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,1,3,5]=>[4,1,2,6,5,3]=>[3,5,6,2,1,4]=>11000 [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,1,3,4,6]=>[5,4,3,1,2,6]=>[6,2,1,3,4,5]=>11000 [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,1,3,6,4]=>[6,4,3,1,2,5]=>[5,2,1,3,4,6]=>11000 [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,1,6,3,4]=>[5,3,1,2,6,4]=>[4,6,2,1,3,5]=>11000 [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,1,3,4]=>[6,4,1,2,5,3]=>[3,5,2,1,4,6]=>11000 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,1,3,4,5]=>[6,5,4,3,1,2]=>[2,1,3,4,5,6]=>10000 [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,2,4,5,6]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>10011 [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2,4,6,5]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>10010 [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,6]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>10010 [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,5,6,4]=>[3,2,1,6,4,5]=>[5,4,6,1,2,3]=>10010 [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,2,6,4,5]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>10000 [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,4,2,5,6]=>[4,2,1,3,5,6]=>[6,5,3,1,2,4]=>10101 [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,4,2,6,5]=>[4,2,1,3,6,5]=>[5,6,3,1,2,4]=>10100 [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,4,5,2,6]=>[5,2,1,3,4,6]=>[6,4,3,1,2,5]=>10110 [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,2]=>[6,2,1,3,4,5]=>[5,4,3,1,2,6]=>10110 [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,4,6,2,5]=>[6,5,2,1,3,4]=>[4,3,1,2,5,6]=>10100 [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,4,6]=>[5,4,2,1,3,6]=>[6,3,1,2,4,5]=>10100 [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,6,4]=>[6,4,2,1,3,5]=>[5,3,1,2,4,6]=>10100 [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,5,6,2,4]=>[5,2,1,3,6,4]=>[4,6,3,1,2,5]=>10100 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,6,2,4,5]=>[6,5,4,2,1,3]=>[3,1,2,4,5,6]=>10000 [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>[6,5,2,4,1,3]=>11001 [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,5]=>[3,1,4,2,6,5]=>[5,6,2,4,1,3]=>11000 [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,1,5,2,6]=>[3,1,5,2,4,6]=>[6,4,2,5,1,3]=>11010 [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,1,5,6,2]=>[3,1,6,2,4,5]=>[5,4,2,6,1,3]=>11010 [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,1,6,2,5]=>[3,1,6,5,2,4]=>[4,2,5,6,1,3]=>11000 [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,1,2,6]=>[5,2,4,1,3,6]=>[6,3,1,4,2,5]=>11100 [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,1,6,2]=>[6,2,4,1,3,5]=>[5,3,1,4,2,6]=>11100 [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,1,2]=>[5,1,3,6,2,4]=>[4,2,6,3,1,5]=>11100 [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,1,2,5]=>[6,5,2,4,1,3]=>[3,1,4,2,5,6]=>11000 [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,1,2,4,6]=>[3,1,5,4,2,6]=>[6,2,4,5,1,3]=>11000 [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,1,2,6,4]=>[3,1,6,4,2,5]=>[5,2,4,6,1,3]=>11000 [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,1,6,2,4]=>[3,1,5,2,6,4]=>[4,6,2,5,1,3]=>11000 [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,1,2,4]=>[5,2,6,4,1,3]=>[3,1,4,6,2,5]=>11000 [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,1,2,4,5]=>[3,1,6,5,4,2]=>[2,4,5,6,1,3]=>10000 [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,1,2,3,5,6]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>10001 [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,1,2,3,6,5]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>10000 [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,5,3,6]=>[5,3,2,1,4,6]=>[6,4,1,2,3,5]=>10010 [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,1,2,5,6,3]=>[6,3,2,1,4,5]=>[5,4,1,2,3,6]=>10010 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,1,2,6,3,5]=>[6,5,3,2,1,4]=>[4,1,2,3,5,6]=>10000 [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,1,5,2,3,6]=>[4,2,1,5,3,6]=>[6,3,5,1,2,4]=>10100 [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,1,5,2,6,3]=>[4,2,1,6,3,5]=>[5,3,6,1,2,4]=>10100 [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,1,5,6,2,3]=>[6,3,5,2,1,4]=>[4,1,2,5,3,6]=>10100 [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,3,5]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]=>10000 [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,1,2,3,6]=>[5,3,1,4,2,6]=>[6,2,4,1,3,5]=>11000 [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,1,2,6,3]=>[6,3,1,4,2,5]=>[5,2,4,1,3,6]=>11000 [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,1,6,2,3]=>[5,2,6,3,1,4]=>[4,1,3,6,2,5]=>11000 [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>11000 [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,1,2,3,5]=>[6,5,3,1,4,2]=>[2,4,1,3,5,6]=>10000 [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>10000 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,6,4]=>[6,4,3,2,1,5]=>[5,1,2,3,4,6]=>10000 [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,1,2,6,3,4]=>[5,3,2,1,6,4]=>[4,6,1,2,3,5]=>10000 [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,1,6,2,3,4]=>[6,4,2,1,5,3]=>[3,5,1,2,4,6]=>10000 [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,1,2,3,4]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]=>10000 [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,1,2,3,4,5]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>00000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>111111 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>111110 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>111110 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]=>111110 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>111100 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>111101 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>111100 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]=>111110 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]=>111110 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,4,6]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]=>111100 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>111100 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,4,7,5]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]=>111100 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,4,5]=>[1,2,3,6,4,7,5]=>[5,7,4,6,3,2,1]=>111100 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,4,5,6]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>111000 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>111011 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>111010 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>111010 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]=>111010 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>111000 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]=>111101 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]=>111100 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]=>111110 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]=>111110 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,3,6]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]=>111100 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,3,5,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]=>111100 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,3,7,5]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]=>111100 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,3,5]=>[1,2,6,3,4,7,5]=>[5,7,4,3,6,2,1]=>111100 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,3,5,6]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]=>111000 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>111001 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>111000 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,3,6,4,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]=>111010 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,3,6,7,4]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]=>111010 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,3,7,4,6]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]=>111000 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,3,4,7]=>[1,2,5,3,6,4,7]=>[7,4,6,3,5,2,1]=>111100 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,3,7,4]=>[1,2,5,3,7,4,6]=>[6,4,7,3,5,2,1]=>111100 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,3,4]=>[1,2,7,4,6,3,5]=>[5,3,6,4,7,2,1]=>111100 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,3,4,6]=>[1,2,5,3,7,6,4]=>[4,6,7,3,5,2,1]=>111000 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,3,4,5,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>111000 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,3,4,7,5]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]=>111000 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,3,7,4,5]=>[1,2,6,4,3,7,5]=>[5,7,3,4,6,2,1]=>111000 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,3,4,5]=>[1,2,7,5,3,6,4]=>[4,6,3,5,7,2,1]=>111000 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,3,4,5,6]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>110000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>110111 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>110110 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>110110 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]=>110110 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>110100 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>110101 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>110100 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]=>110110 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]=>110110 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,4,6]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]=>110100 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>110100 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,4,7,5]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]=>110100 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,4,5]=>[1,3,2,6,4,7,5]=>[5,7,4,6,2,3,1]=>110100 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,4,5,6]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>110000 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]=>111011 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]=>111010 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]=>111010 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]=>111010 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,5,6]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]=>111000 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]=>111101 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]=>111100 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]=>111110 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]=>111110 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,2,6]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]=>111100 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,2,5,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]=>111100 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,2,7,5]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]=>111100 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,2,5]=>[1,6,2,3,4,7,5]=>[5,7,4,3,2,6,1]=>111100 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,2,5,6]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]=>111000 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,2,4,6,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]=>111001 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,2,4,7,6]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]=>111000 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,2,6,4,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]=>111010 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,2,6,7,4]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]=>111010 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,7,4,6]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]=>111000 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,2,4,7]=>[1,5,2,3,6,4,7]=>[7,4,6,3,2,5,1]=>111100 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,2,7,4]=>[1,5,2,3,7,4,6]=>[6,4,7,3,2,5,1]=>111100 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,2,4]=>[1,7,4,6,2,3,5]=>[5,3,2,6,4,7,1]=>111100 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,2,4,6]=>[1,5,2,3,7,6,4]=>[4,6,7,3,2,5,1]=>111000 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,2,4,5,7]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]=>111000 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,2,4,7,5]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]=>111000 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,2,7,4,5]=>[1,6,4,2,3,7,5]=>[5,7,3,2,4,6,1]=>111000 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,2,4,5]=>[1,7,5,2,3,6,4]=>[4,6,3,2,5,7,1]=>111000 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,2,4,5,6]=>[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]=>110000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>110011 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>110010 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>110010 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,2,3,6,7,5]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]=>110010 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>110000 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,2,5,3,6,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]=>110101 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,5,3,7,6]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]=>110100 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,2,5,6,3,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]=>110110 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,5,6,7,3]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]=>110110 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,2,5,7,3,6]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]=>110100 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,6,3,5,7]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]=>110100 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,7,5]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]=>110100 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,2,6,7,3,5]=>[1,6,3,2,4,7,5]=>[5,7,4,2,3,6,1]=>110100 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,7,3,5,6]=>[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]=>110000 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,2,3,6,7]=>[1,4,2,5,3,6,7]=>[7,6,3,5,2,4,1]=>111001 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,2,3,7,6]=>[1,4,2,5,3,7,6]=>[6,7,3,5,2,4,1]=>111000 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,2,6,3,7]=>[1,4,2,6,3,5,7]=>[7,5,3,6,2,4,1]=>111010 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,2,6,7,3]=>[1,4,2,7,3,5,6]=>[6,5,3,7,2,4,1]=>111010 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,2,7,3,6]=>[1,4,2,7,6,3,5]=>[5,3,6,7,2,4,1]=>111000 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,2,3,7]=>[1,6,3,5,2,4,7]=>[7,4,2,5,3,6,1]=>111100 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,2,7,3]=>[1,7,3,5,2,4,6]=>[6,4,2,5,3,7,1]=>111100 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,2,3]=>[1,6,2,4,7,3,5]=>[5,3,7,4,2,6,1]=>111100 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,2,3,6]=>[1,7,6,3,5,2,4]=>[4,2,5,3,6,7,1]=>111000 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,2,3,5,7]=>[1,4,2,6,5,3,7]=>[7,3,5,6,2,4,1]=>111000 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,2,3,7,5]=>[1,4,2,7,5,3,6]=>[6,3,5,7,2,4,1]=>111000 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,2,7,3,5]=>[1,4,2,6,3,7,5]=>[5,7,3,6,2,4,1]=>111000 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,2,3,5]=>[1,6,3,7,5,2,4]=>[4,2,5,7,3,6,1]=>111000 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,2,3,5,6]=>[1,4,2,7,6,5,3]=>[3,5,6,7,2,4,1]=>110000 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>110001 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,2,3,4,7,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>110000 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,2,3,6,4,7]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]=>110010 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,2,3,6,7,4]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]=>110010 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,2,3,7,4,6]=>[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]=>110000 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,2,6,3,4,7]=>[1,5,3,2,6,4,7]=>[7,4,6,2,3,5,1]=>110100 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,6,3,7,4]=>[1,5,3,2,7,4,6]=>[6,4,7,2,3,5,1]=>110100 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,2,6,7,3,4]=>[1,7,4,6,3,2,5]=>[5,2,3,6,4,7,1]=>110100 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,7,3,4,6]=>[1,5,3,2,7,6,4]=>[4,6,7,2,3,5,1]=>110000 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,2,3,4,7]=>[1,6,4,2,5,3,7]=>[7,3,5,2,4,6,1]=>111000 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,2,3,7,4]=>[1,7,4,2,5,3,6]=>[6,3,5,2,4,7,1]=>111000 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,2,7,3,4]=>[1,6,3,7,4,2,5]=>[5,2,4,7,3,6,1]=>111000 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,2,3,4]=>[1,5,2,6,3,7,4]=>[4,7,3,6,2,5,1]=>111000 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,2,3,4,6]=>[1,7,6,4,2,5,3]=>[3,5,2,4,6,7,1]=>110000 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>110000 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,7,5]=>[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]=>110000 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,2,3,7,4,5]=>[1,6,4,3,2,7,5]=>[5,7,2,3,4,6,1]=>110000 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,2,7,3,4,5]=>[1,7,5,3,2,6,4]=>[4,6,2,3,5,7,1]=>110000 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,2,3,4,5]=>[1,6,4,2,7,5,3]=>[3,5,7,2,4,6,1]=>110000 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>100000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>101111 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>101110 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>101110 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]=>101110 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,5,6]=>[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>101100 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>101101 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>101100 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]=>101110 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]=>101110 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,4,6]=>[2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]=>101100 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,4,5,7]=>[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>101100 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,4,7,5]=>[2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]=>101100 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,4,5]=>[2,1,3,6,4,7,5]=>[5,7,4,6,3,1,2]=>101100 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,4,5,6]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>101000 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>101011 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>101010 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>101010 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]=>101010 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,5,6]=>[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>101000 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]=>101101 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]=>101100 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]=>101110 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]=>101110 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,3,6]=>[2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]=>101100 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,3,5,7]=>[2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]=>101100 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,3,7,5]=>[2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]=>101100 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,3,5]=>[2,1,6,3,4,7,5]=>[5,7,4,3,6,1,2]=>101100 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,3,5,6]=>[2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]=>101000 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,3,4,6,7]=>[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>101001 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,3,4,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>101000 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,6,4,7]=>[2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]=>101010 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,3,6,7,4]=>[2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]=>101010 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,3,7,4,6]=>[2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]=>101000 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,3,4,7]=>[2,1,5,3,6,4,7]=>[7,4,6,3,5,1,2]=>101100 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,3,7,4]=>[2,1,5,3,7,4,6]=>[6,4,7,3,5,1,2]=>101100 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,3,4]=>[2,1,7,4,6,3,5]=>[5,3,6,4,7,1,2]=>101100 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,3,4,6]=>[2,1,5,3,7,6,4]=>[4,6,7,3,5,1,2]=>101000 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,3,4,5,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>101000 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,3,4,7,5]=>[2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]=>101000 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,3,7,4,5]=>[2,1,6,4,3,7,5]=>[5,7,3,4,6,1,2]=>101000 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,3,4,5]=>[2,1,7,5,3,6,4]=>[4,6,3,5,7,1,2]=>101000 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,3,4,5,6]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>100000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]=>110111 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]=>110110 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]=>110110 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]=>110110 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,5,6]=>[3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]=>110100 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]=>110101 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]=>110100 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]=>110110 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]=>110110 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,4,6]=>[3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]=>110100 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,4,5,7]=>[3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]=>110100 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,4,7,5]=>[3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]=>110100 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,4,5]=>[3,1,2,6,4,7,5]=>[5,7,4,6,2,1,3]=>110100 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,4,5,6]=>[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]=>110000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]=>111011 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]=>111010 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]=>111010 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]=>111010 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,5,6]=>[4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]=>111000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]=>111101 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]=>111100 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]=>111110 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]=>111110 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,1,6]=>[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]=>111100 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,1,5,7]=>[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]=>111100 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,1,7,5]=>[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]=>111100 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,1,5]=>[6,1,2,3,4,7,5]=>[5,7,4,3,2,1,6]=>111100 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,1,5,6]=>[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]=>111000 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,1,4,6,7]=>[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]=>111001 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,1,4,7,6]=>[5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]=>111000 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,1,6,4,7]=>[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]=>111010 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,1,6,7,4]=>[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]=>111010 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,1,7,4,6]=>[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]=>111000 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,1,4,7]=>[5,1,2,3,6,4,7]=>[7,4,6,3,2,1,5]=>111100 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,1,7,4]=>[5,1,2,3,7,4,6]=>[6,4,7,3,2,1,5]=>111100 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,1,4]=>[7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7]=>111100 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,1,4,6]=>[5,1,2,3,7,6,4]=>[4,6,7,3,2,1,5]=>111000 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,1,4,5,7]=>[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]=>111000 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,1,4,7,5]=>[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]=>111000 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,1,7,4,5]=>[6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6]=>111000 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,1,4,5]=>[7,5,1,2,3,6,4]=>[4,6,3,2,1,5,7]=>111000 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,1,4,5,6]=>[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]=>110000 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,1,3,5,6,7]=>[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]=>110011 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,1,3,5,7,6]=>[4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]=>110010 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,1,3,6,5,7]=>[4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]=>110010 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,3,6,7,5]=>[4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]=>110010 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,1,3,7,5,6]=>[4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]=>110000 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,1,5,3,6,7]=>[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]=>110101 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,1,5,3,7,6]=>[5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]=>110100 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,1,5,6,3,7]=>[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]=>110110 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,5,6,7,3]=>[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]=>110110 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,1,5,7,3,6]=>[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]=>110100 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,1,6,3,5,7]=>[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]=>110100 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,7,5]=>[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]=>110100 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,1,6,7,3,5]=>[6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6]=>110100 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,1,7,3,5,6]=>[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]=>110000 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,1,3,6,7]=>[4,1,2,5,3,6,7]=>[7,6,3,5,2,1,4]=>111001 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,1,3,7,6]=>[4,1,2,5,3,7,6]=>[6,7,3,5,2,1,4]=>111000 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,1,6,3,7]=>[4,1,2,6,3,5,7]=>[7,5,3,6,2,1,4]=>111010 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,1,6,7,3]=>[4,1,2,7,3,5,6]=>[6,5,3,7,2,1,4]=>111010 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,1,7,3,6]=>[4,1,2,7,6,3,5]=>[5,3,6,7,2,1,4]=>111000 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,1,3,7]=>[6,3,5,1,2,4,7]=>[7,4,2,1,5,3,6]=>111100 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,1,7,3]=>[7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7]=>111100 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,1,3]=>[6,1,2,4,7,3,5]=>[5,3,7,4,2,1,6]=>111100 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,1,3,6]=>[7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7]=>111000 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,1,3,5,7]=>[4,1,2,6,5,3,7]=>[7,3,5,6,2,1,4]=>111000 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,1,3,7,5]=>[4,1,2,7,5,3,6]=>[6,3,5,7,2,1,4]=>111000 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,1,7,3,5]=>[4,1,2,6,3,7,5]=>[5,7,3,6,2,1,4]=>111000 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,1,3,5]=>[6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6]=>111000 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,1,3,5,6]=>[4,1,2,7,6,5,3]=>[3,5,6,7,2,1,4]=>110000 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,1,3,4,6,7]=>[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]=>110001 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,1,3,4,7,6]=>[5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]=>110000 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,1,3,6,4,7]=>[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]=>110010 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,1,3,6,7,4]=>[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]=>110010 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,1,3,7,4,6]=>[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]=>110000 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,1,6,3,4,7]=>[5,3,1,2,6,4,7]=>[7,4,6,2,1,3,5]=>110100 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,1,6,3,7,4]=>[5,3,1,2,7,4,6]=>[6,4,7,2,1,3,5]=>110100 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,1,6,7,3,4]=>[7,4,6,3,1,2,5]=>[5,2,1,3,6,4,7]=>110100 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,1,7,3,4,6]=>[5,3,1,2,7,6,4]=>[4,6,7,2,1,3,5]=>110000 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,1,3,4,7]=>[6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6]=>111000 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,1,3,7,4]=>[7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7]=>111000 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,1,7,3,4]=>[6,3,7,4,1,2,5]=>[5,2,1,4,7,3,6]=>111000 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,1,3,4]=>[5,1,2,6,3,7,4]=>[4,7,3,6,2,1,5]=>111000 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,1,3,4,6]=>[7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7]=>110000 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,1,3,4,5,7]=>[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]=>110000 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,1,3,4,7,5]=>[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]=>110000 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,1,3,7,4,5]=>[6,4,3,1,2,7,5]=>[5,7,2,1,3,4,6]=>110000 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,1,7,3,4,5]=>[7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7]=>110000 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,1,3,4,5]=>[6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6]=>110000 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,1,3,4,5,6]=>[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]=>100000 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>100111 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,1,2,4,5,7,6]=>[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>100110 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,1,2,4,6,5,7]=>[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>100110 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,2,4,6,7,5]=>[3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]=>100110 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,7,5,6]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>100100 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,1,2,5,4,6,7]=>[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>100101 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,5,4,7,6]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>100100 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,5,6,4,7]=>[3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]=>100110 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,1,2,5,6,7,4]=>[3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]=>100110 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,5,7,4,6]=>[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]=>100100 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,2,6,4,5,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>100100 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,1,2,6,4,7,5]=>[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]=>100100 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,1,2,6,7,4,5]=>[3,2,1,6,4,7,5]=>[5,7,4,6,1,2,3]=>100100 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,1,2,7,4,5,6]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>100000 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,5,6,7]=>[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]=>101011 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,1,4,2,5,7,6]=>[4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]=>101010 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5,7]=>[4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]=>101010 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,1,4,2,6,7,5]=>[4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]=>101010 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,1,4,2,7,5,6]=>[4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]=>101000 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,1,4,5,2,6,7]=>[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]=>101101 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,1,4,5,2,7,6]=>[5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]=>101100 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,6,2,7]=>[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]=>101110 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,2]=>[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]=>101110 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,1,4,5,7,2,6]=>[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]=>101100 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,1,4,6,2,5,7]=>[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]=>101100 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,1,4,6,2,7,5]=>[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]=>101100 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,4,6,7,2,5]=>[6,2,1,3,4,7,5]=>[5,7,4,3,1,2,6]=>101100 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,1,4,7,2,5,6]=>[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]=>101000 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,1,5,2,4,6,7]=>[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]=>101001 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,1,5,2,4,7,6]=>[5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]=>101000 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,6,4,7]=>[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]=>101010 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,1,5,2,6,7,4]=>[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]=>101010 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,7,4,6]=>[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]=>101000 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,1,5,6,2,4,7]=>[5,2,1,3,6,4,7]=>[7,4,6,3,1,2,5]=>101100 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,1,5,6,2,7,4]=>[5,2,1,3,7,4,6]=>[6,4,7,3,1,2,5]=>101100 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,1,5,6,7,2,4]=>[7,4,6,2,1,3,5]=>[5,3,1,2,6,4,7]=>101100 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,5,7,2,4,6]=>[5,2,1,3,7,6,4]=>[4,6,7,3,1,2,5]=>101000 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,1,6,2,4,5,7]=>[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]=>101000 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,6,2,4,7,5]=>[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]=>101000 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,6,2,7,4,5]=>[6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6]=>101000 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,6,7,2,4,5]=>[7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7]=>101000 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,1,7,2,4,5,6]=>[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]=>100000 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>[7,6,5,2,4,1,3]=>110011 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,1,2,5,7,6]=>[3,1,4,2,5,7,6]=>[6,7,5,2,4,1,3]=>110010 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,1,2,6,5,7]=>[3,1,4,2,6,5,7]=>[7,5,6,2,4,1,3]=>110010 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,1,2,6,7,5]=>[3,1,4,2,7,5,6]=>[6,5,7,2,4,1,3]=>110010 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,1,2,7,5,6]=>[3,1,4,2,7,6,5]=>[5,6,7,2,4,1,3]=>110000 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,1,5,2,6,7]=>[3,1,5,2,4,6,7]=>[7,6,4,2,5,1,3]=>110101 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,1,5,2,7,6]=>[3,1,5,2,4,7,6]=>[6,7,4,2,5,1,3]=>110100 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,1,5,6,2,7]=>[3,1,6,2,4,5,7]=>[7,5,4,2,6,1,3]=>110110 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,1,5,6,7,2]=>[3,1,7,2,4,5,6]=>[6,5,4,2,7,1,3]=>110110 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,1,5,7,2,6]=>[3,1,7,6,2,4,5]=>[5,4,2,6,7,1,3]=>110100 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,1,6,2,5,7]=>[3,1,6,5,2,4,7]=>[7,4,2,5,6,1,3]=>110100 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,1,6,2,7,5]=>[3,1,7,5,2,4,6]=>[6,4,2,5,7,1,3]=>110100 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,1,6,7,2,5]=>[3,1,6,2,4,7,5]=>[5,7,4,2,6,1,3]=>110100 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,1,7,2,5,6]=>[3,1,7,6,5,2,4]=>[4,2,5,6,7,1,3]=>110000 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,1,2,6,7]=>[5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5]=>111001 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,1,2,7,6]=>[5,2,4,1,3,7,6]=>[6,7,3,1,4,2,5]=>111000 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,1,6,2,7]=>[6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6]=>111010 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,1,6,7,2]=>[7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7]=>111010 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,1,7,2,6]=>[7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7]=>111000 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,1,2,7]=>[5,1,3,6,2,4,7]=>[7,4,2,6,3,1,5]=>111100 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,1,7,2]=>[5,1,3,7,2,4,6]=>[6,4,2,7,3,1,5]=>111100 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,1,2]=>[7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7]=>111100 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,1,2,6]=>[5,1,3,7,6,2,4]=>[4,2,6,7,3,1,5]=>111000 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,1,2,5,7]=>[6,5,2,4,1,3,7]=>[7,3,1,4,2,5,6]=>111000 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,1,2,7,5]=>[7,5,2,4,1,3,6]=>[6,3,1,4,2,5,7]=>111000 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,1,7,2,5]=>[6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6]=>111000 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,1,2,5]=>[7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7]=>111000 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,1,2,5,6]=>[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]=>110000 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,1,2,4,6,7]=>[3,1,5,4,2,6,7]=>[7,6,2,4,5,1,3]=>110001 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,1,2,4,7,6]=>[3,1,5,4,2,7,6]=>[6,7,2,4,5,1,3]=>110000 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,1,2,6,4,7]=>[3,1,6,4,2,5,7]=>[7,5,2,4,6,1,3]=>110010 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,1,2,6,7,4]=>[3,1,7,4,2,5,6]=>[6,5,2,4,7,1,3]=>110010 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,1,2,7,4,6]=>[3,1,7,6,4,2,5]=>[5,2,4,6,7,1,3]=>110000 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,1,6,2,4,7]=>[3,1,5,2,6,4,7]=>[7,4,6,2,5,1,3]=>110100 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,1,6,2,7,4]=>[3,1,5,2,7,4,6]=>[6,4,7,2,5,1,3]=>110100 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,1,6,7,2,4]=>[3,1,7,4,6,2,5]=>[5,2,6,4,7,1,3]=>110100 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,1,7,2,4,6]=>[3,1,5,2,7,6,4]=>[4,6,7,2,5,1,3]=>110000 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,1,2,4,7]=>[5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5]=>111000 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,1,2,7,4]=>[5,2,7,4,1,3,6]=>[6,3,1,4,7,2,5]=>111000 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,1,7,2,4]=>[7,4,1,3,6,2,5]=>[5,2,6,3,1,4,7]=>111000 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,1,2,4]=>[6,2,5,1,3,7,4]=>[4,7,3,1,5,2,6]=>111000 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,1,2,4,6]=>[5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]=>110000 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,1,2,4,5,7]=>[3,1,6,5,4,2,7]=>[7,2,4,5,6,1,3]=>110000 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,1,2,4,7,5]=>[3,1,7,5,4,2,6]=>[6,2,4,5,7,1,3]=>110000 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,1,2,7,4,5]=>[3,1,6,4,2,7,5]=>[5,7,2,4,6,1,3]=>110000 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,1,7,2,4,5]=>[3,1,7,5,2,6,4]=>[4,6,2,5,7,1,3]=>110000 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,1,2,4,5]=>[7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]=>110000 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,1,2,4,5,6]=>[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]=>100000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>100011 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2,3,5,7,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>100010 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,3,6,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>100010 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,2,3,6,7,5]=>[4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]=>100010 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,2,3,7,5,6]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>100000 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,2,5,3,6,7]=>[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]=>100101 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,1,2,5,3,7,6]=>[5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]=>100100 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,2,5,6,3,7]=>[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]=>100110 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,1,2,5,6,7,3]=>[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]=>100110 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,1,2,5,7,3,6]=>[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]=>100100 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,1,2,6,3,5,7]=>[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]=>100100 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,1,2,6,3,7,5]=>[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]=>100100 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,1,2,6,7,3,5]=>[6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6]=>100100 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,1,2,7,3,5,6]=>[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]=>100000 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,6,7]=>[4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4]=>101001 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,1,5,2,3,7,6]=>[4,2,1,5,3,7,6]=>[6,7,3,5,1,2,4]=>101000 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,5,2,6,3,7]=>[4,2,1,6,3,5,7]=>[7,5,3,6,1,2,4]=>101010 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,1,5,2,6,7,3]=>[4,2,1,7,3,5,6]=>[6,5,3,7,1,2,4]=>101010 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,1,5,2,7,3,6]=>[4,2,1,7,6,3,5]=>[5,3,6,7,1,2,4]=>101000 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,1,5,6,2,3,7]=>[6,3,5,2,1,4,7]=>[7,4,1,2,5,3,6]=>101100 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,1,5,6,2,7,3]=>[7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7]=>101100 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,1,5,6,7,2,3]=>[6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6]=>101100 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,5,7,2,3,6]=>[7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]=>101000 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,1,6,2,3,5,7]=>[4,2,1,6,5,3,7]=>[7,3,5,6,1,2,4]=>101000 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,6,2,3,7,5]=>[4,2,1,7,5,3,6]=>[6,3,5,7,1,2,4]=>101000 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,7,3,5]=>[4,2,1,6,3,7,5]=>[5,7,3,6,1,2,4]=>101000 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,1,6,7,2,3,5]=>[6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]=>101000 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,1,7,2,3,5,6]=>[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]=>100000 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,1,2,3,6,7]=>[5,3,1,4,2,6,7]=>[7,6,2,4,1,3,5]=>110001 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,1,2,3,7,6]=>[5,3,1,4,2,7,6]=>[6,7,2,4,1,3,5]=>110000 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,1,2,6,3,7]=>[6,3,1,4,2,5,7]=>[7,5,2,4,1,3,6]=>110010 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,1,2,6,7,3]=>[7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7]=>110010 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,7,3,6]=>[7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7]=>110000 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,1,6,2,3,7]=>[5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5]=>110100 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,1,6,2,7,3]=>[5,2,7,3,1,4,6]=>[6,4,1,3,7,2,5]=>110100 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,1,6,7,2,3]=>[7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7]=>110100 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,1,7,2,3,6]=>[5,2,7,6,3,1,4]=>[4,1,3,6,7,2,5]=>110000 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4]=>111000 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,1,2,7,3]=>[4,1,5,2,7,3,6]=>[6,3,7,2,5,1,4]=>111000 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,1,7,2,3]=>[4,1,7,3,6,2,5]=>[5,2,6,3,7,1,4]=>111000 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]=>111000 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,1,2,3,6]=>[4,1,5,2,7,6,3]=>[3,6,7,2,5,1,4]=>110000 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,1,2,3,5,7]=>[6,5,3,1,4,2,7]=>[7,2,4,1,3,5,6]=>110000 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,1,2,3,7,5]=>[7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7]=>110000 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,1,2,7,3,5]=>[6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6]=>110000 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,1,7,2,3,5]=>[7,5,2,6,3,1,4]=>[4,1,3,6,2,5,7]=>110000 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,1,2,3,5]=>[4,1,7,5,2,6,3]=>[3,6,2,5,7,1,4]=>110000 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,1,2,3,5,6]=>[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]=>100000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,1,2,3,4,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>100001 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,1,2,3,4,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>100000 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,3,6,4,7]=>[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]=>100010 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,1,2,3,6,7,4]=>[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]=>100010 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,1,2,3,7,4,6]=>[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]=>100000 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,1,2,6,3,4,7]=>[5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5]=>100100 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,2,6,3,7,4]=>[5,3,2,1,7,4,6]=>[6,4,7,1,2,3,5]=>100100 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,2,6,7,3,4]=>[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]=>100100 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,1,2,7,3,4,6]=>[5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]=>100000 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,1,6,2,3,4,7]=>[6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6]=>101000 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,1,6,2,3,7,4]=>[7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7]=>101000 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,1,6,2,7,3,4]=>[6,3,7,4,2,1,5]=>[5,1,2,4,7,3,6]=>101000 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,1,6,7,2,3,4]=>[5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5]=>101000 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,1,7,2,3,4,6]=>[7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]=>100000 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,1,2,3,4,7]=>[5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5]=>110000 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,1,2,3,7,4]=>[5,3,1,7,4,2,6]=>[6,2,4,7,1,3,5]=>110000 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,1,2,7,3,4]=>[7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7]=>110000 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,1,7,2,3,4]=>[6,3,1,5,2,7,4]=>[4,7,2,5,1,3,6]=>110000 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,1,2,3,4]=>[7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7]=>110000 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,1,2,3,4,6]=>[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]=>100000 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>100000 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,7,5]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]=>100000 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,1,2,3,7,4,5]=>[6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]=>100000 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,1,2,7,3,4,5]=>[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]=>100000 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,1,7,2,3,4,5]=>[6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]=>100000 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,1,2,3,4,5]=>[7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]=>100000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>1111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]=>1111110 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1]=>1111110 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]=>1111110 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>1111100 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]=>1111101 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]=>1111100 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1]=>1111110 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]=>1111110 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,1]=>1111100 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]=>1111100 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,8,6,5,7]=>[7,5,6,8,4,3,2,1]=>1111100 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,5,8,6]=>[6,8,5,7,4,3,2,1]=>1111100 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>1111000 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>1111011 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]=>1111010 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>1111010 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,6,7]=>[7,6,8,4,5,3,2,1]=>1111010 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,7,6]=>[6,7,8,4,5,3,2,1]=>1111000 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,4,5,7,8]=>[8,7,5,4,6,3,2,1]=>1111101 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,4,5,6,8]=>[8,6,5,4,7,3,2,1]=>1111110 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]=>1111110 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,1]=>1111100 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,6,4,5,8]=>[8,5,4,6,7,3,2,1]=>1111100 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,4,8,6]=>[1,2,3,8,6,4,5,7]=>[7,5,4,6,8,3,2,1]=>1111100 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,7,8,4,6]=>[1,2,3,7,4,5,8,6]=>[6,8,5,4,7,3,2,1]=>1111100 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]=>1111000 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,4,5,6,3,2,1]=>1111001 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,4,7,5,8]=>[1,2,3,7,5,4,6,8]=>[8,6,4,5,7,3,2,1]=>1111010 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,4,7,8,5]=>[1,2,3,8,5,4,6,7]=>[7,6,4,5,8,3,2,1]=>1111010 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,4,8,5,7]=>[1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]=>1111000 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,6,7,4,5,8]=>[1,2,3,6,4,7,5,8]=>[8,5,7,4,6,3,2,1]=>1111100 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,6,7,4,8,5]=>[1,2,3,6,4,8,5,7]=>[7,5,8,4,6,3,2,1]=>1111100 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,5,7,4,6]=>[6,4,7,5,8,3,2,1]=>1111100 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,6,8,4,5,7]=>[1,2,3,6,4,8,7,5]=>[5,7,8,4,6,3,2,1]=>1111000 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>1111000 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]=>1111000 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,5,4,8,6]=>[6,8,4,5,7,3,2,1]=>1111000 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,6,4,7,5]=>[5,7,4,6,8,3,2,1]=>1111000 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>1110000 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1]=>1110111 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]=>1110110 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]=>1110110 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,6,7]=>[7,6,8,5,3,4,2,1]=>1110110 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>1110101 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[7,8,5,6,3,4,2,1]=>1110100 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,5,6,7]=>[7,6,5,8,3,4,2,1]=>1110110 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,8,7,5,6]=>[6,5,7,8,3,4,2,1]=>1110100 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]=>1110100 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,7,5,8,6]=>[6,8,5,7,3,4,2,1]=>1110100 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>1110000 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8]=>[1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1]=>1111011 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,4,5,3,6,8,7]=>[1,2,5,3,4,6,8,7]=>[7,8,6,4,3,5,2,1]=>1111010 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,4,5,3,7,6,8]=>[1,2,5,3,4,7,6,8]=>[8,6,7,4,3,5,2,1]=>1111010 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,4,5,3,7,8,6]=>[1,2,5,3,4,8,6,7]=>[7,6,8,4,3,5,2,1]=>1111010 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,6,7]=>[1,2,5,3,4,8,7,6]=>[6,7,8,4,3,5,2,1]=>1111000 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1]=>1111101 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,6,3,8,7]=>[1,2,6,3,4,5,8,7]=>[7,8,5,4,3,6,2,1]=>1111100 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,3,8]=>[1,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,1]=>1111110 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>[1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]=>1111110 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,8,3,7]=>[1,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,1]=>1111100 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,4,5,7,3,6,8]=>[1,2,7,6,3,4,5,8]=>[8,5,4,3,6,7,2,1]=>1111100 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,2,4,5,7,3,8,6]=>[1,2,8,6,3,4,5,7]=>[7,5,4,3,6,8,2,1]=>1111100 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,7,8,3,6]=>[1,2,7,3,4,5,8,6]=>[6,8,5,4,3,7,2,1]=>1111100 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,8,3,6,7]=>[1,2,8,7,6,3,4,5]=>[5,4,3,6,7,8,2,1]=>1111000 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,4,6,3,5,7,8]=>[1,2,6,5,3,4,7,8]=>[8,7,4,3,5,6,2,1]=>1111001 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,2,4,6,3,7,5,8]=>[1,2,7,5,3,4,6,8]=>[8,6,4,3,5,7,2,1]=>1111010 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,4,6,3,7,8,5]=>[1,2,8,5,3,4,6,7]=>[7,6,4,3,5,8,2,1]=>1111010 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,4,6,7,3,5,8]=>[1,2,6,3,4,7,5,8]=>[8,5,7,4,3,6,2,1]=>1111100 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,4,6,7,3,8,5]=>[1,2,6,3,4,8,5,7]=>[7,5,8,4,3,6,2,1]=>1111100 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,4,6,8,3,5,7]=>[1,2,6,3,4,8,7,5]=>[5,7,8,4,3,6,2,1]=>1111000 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,4,7,3,5,6,8]=>[1,2,7,6,5,3,4,8]=>[8,4,3,5,6,7,2,1]=>1111000 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,4,7,8,3,5,6]=>[1,2,8,6,3,4,7,5]=>[5,7,4,3,6,8,2,1]=>1111000 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,3,5,6,7]=>[1,2,8,7,6,5,3,4]=>[4,3,5,6,7,8,2,1]=>1110000 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,3,4,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]=>1110011 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,3,4,6,8,7]=>[1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]=>1110010 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,5,3,4,7,6,8]=>[1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]=>1110010 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,3,4,7,8,6]=>[1,2,5,4,3,8,6,7]=>[7,6,8,3,4,5,2,1]=>1110010 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,5,3,4,8,6,7]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>1110000 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,2,5,3,6,4,7,8]=>[1,2,6,4,3,5,7,8]=>[8,7,5,3,4,6,2,1]=>1110101 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,2,5,3,6,4,8,7]=>[1,2,6,4,3,5,8,7]=>[7,8,5,3,4,6,2,1]=>1110100 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,5,3,6,7,8,4]=>[1,2,8,4,3,5,6,7]=>[7,6,5,3,4,8,2,1]=>1110110 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,2,5,3,6,8,4,7]=>[1,2,8,7,4,3,5,6]=>[6,5,3,4,7,8,2,1]=>1110100 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,2,5,3,7,4,6,8]=>[1,2,7,6,4,3,5,8]=>[8,5,3,4,6,7,2,1]=>1110100 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,5,3,7,4,8,6]=>[1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]=>1110100 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,3,8,4,6,7]=>[1,2,8,7,6,4,3,5]=>[5,3,4,6,7,8,2,1]=>1110000 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,5,6,3,4,7,8]=>[1,2,5,3,6,4,7,8]=>[8,7,4,6,3,5,2,1]=>1111001 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,2,5,6,3,7,4,8]=>[1,2,5,3,7,4,6,8]=>[8,6,4,7,3,5,2,1]=>1111010 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,5,6,3,7,8,4]=>[1,2,5,3,8,4,6,7]=>[7,6,4,8,3,5,2,1]=>1111010 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,2,5,6,3,8,4,7]=>[1,2,5,3,8,7,4,6]=>[6,4,7,8,3,5,2,1]=>1111000 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,2,5,6,7,3,4,8]=>[1,2,7,4,6,3,5,8]=>[8,5,3,6,4,7,2,1]=>1111100 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,5,6,7,3,8,4]=>[1,2,8,4,6,3,5,7]=>[7,5,3,6,4,8,2,1]=>1111100 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,8,3,4]=>[1,2,7,3,5,8,4,6]=>[6,4,8,5,3,7,2,1]=>1111100 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,5,6,8,3,4,7]=>[1,2,8,7,4,6,3,5]=>[5,3,6,4,7,8,2,1]=>1111000 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,5,7,3,4,6,8]=>[1,2,5,3,7,6,4,8]=>[8,4,6,7,3,5,2,1]=>1111000 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,2,5,7,3,8,4,6]=>[1,2,5,3,7,4,8,6]=>[6,8,4,7,3,5,2,1]=>1111000 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,5,7,8,3,4,6]=>[1,2,7,4,8,6,3,5]=>[5,3,6,8,4,7,2,1]=>1111000 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,5,8,3,4,6,7]=>[1,2,5,3,8,7,6,4]=>[4,6,7,8,3,5,2,1]=>1110000 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,3,4,5,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>1110001 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,6,3,4,5,8,7]=>[1,2,6,5,4,3,8,7]=>[7,8,3,4,5,6,2,1]=>1110000 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,3,4,7,8,5]=>[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]=>1110010 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,6,3,4,8,5,7]=>[1,2,8,7,5,4,3,6]=>[6,3,4,5,7,8,2,1]=>1110000 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,2,6,3,7,4,5,8]=>[1,2,6,4,3,7,5,8]=>[8,5,7,3,4,6,2,1]=>1110100 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,6,3,7,4,8,5]=>[1,2,6,4,3,8,5,7]=>[7,5,8,3,4,6,2,1]=>1110100 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,6,3,7,8,4,5]=>[1,2,8,5,7,4,3,6]=>[6,3,4,7,5,8,2,1]=>1110100 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,6,3,8,4,5,7]=>[1,2,6,4,3,8,7,5]=>[5,7,8,3,4,6,2,1]=>1110000 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,6,7,3,8,4,5]=>[1,2,7,4,8,5,3,6]=>[6,3,5,8,4,7,2,1]=>1111000 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,6,7,8,3,4,5]=>[1,2,6,3,7,4,8,5]=>[5,8,4,7,3,6,2,1]=>1111000 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,6,8,3,4,5,7]=>[1,2,8,7,5,3,6,4]=>[4,6,3,5,7,8,2,1]=>1110000 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,7,3,4,5,6,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>1110000 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,7,3,4,5,8,6]=>[1,2,8,6,5,4,3,7]=>[7,3,4,5,6,8,2,1]=>1110000 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,7,3,4,8,5,6]=>[1,2,7,5,4,3,8,6]=>[6,8,3,4,5,7,2,1]=>1110000 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,7,3,8,4,5,6]=>[1,2,8,6,4,3,7,5]=>[5,7,3,4,6,8,2,1]=>1110000 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,7,8,3,4,5,6]=>[1,2,7,5,3,8,6,4]=>[4,6,8,3,5,7,2,1]=>1110000 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,3,4,5,6,7]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>1100000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>1101111 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]=>1101110 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>1101110 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,6,7]=>[7,6,8,5,4,2,3,1]=>1101110 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]=>1101101 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,5,6,8]=>[8,6,5,7,4,2,3,1]=>1101110 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,5,6,7]=>[7,6,5,8,4,2,3,1]=>1101110 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]=>1101100 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,8,6,5,7]=>[7,5,6,8,4,2,3,1]=>1101100 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,7,5,8,6]=>[6,8,5,7,4,2,3,1]=>1101100 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>1101000 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>1101011 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>1101010 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,6,7]=>[7,6,8,4,5,2,3,1]=>1101010 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1]=>1101000 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,4,5,7,8]=>[8,7,5,4,6,2,3,1]=>1101101 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,5,6,7,4,8]=>[1,3,2,7,4,5,6,8]=>[8,6,5,4,7,2,3,1]=>1101110 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,4]=>[1,3,2,8,4,5,6,7]=>[7,6,5,4,8,2,3,1]=>1101110 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,2,5,7,8,4,6]=>[1,3,2,7,4,5,8,6]=>[6,8,5,4,7,2,3,1]=>1101100 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]=>1101001 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,4,7,5,8]=>[1,3,2,7,5,4,6,8]=>[8,6,4,5,7,2,3,1]=>1101010 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,2,6,7,4,5,8]=>[1,3,2,6,4,7,5,8]=>[8,5,7,4,6,2,3,1]=>1101100 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,6,7,4,8,5]=>[1,3,2,6,4,8,5,7]=>[7,5,8,4,6,2,3,1]=>1101100 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,2,6,7,8,4,5]=>[1,3,2,8,5,7,4,6]=>[6,4,7,5,8,2,3,1]=>1101100 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]=>1101000 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,7,4,8,5,6]=>[1,3,2,7,5,4,8,6]=>[6,8,4,5,7,2,3,1]=>1101000 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>1100000 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,1]=>1110111 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,2,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[7,8,6,5,3,2,4,1]=>1110110 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[8,6,7,5,3,2,4,1]=>1110110 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]=>[1,4,2,3,5,8,6,7]=>[7,6,8,5,3,2,4,1]=>1110110 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,8,6,7]=>[1,4,2,3,5,8,7,6]=>[6,7,8,5,3,2,4,1]=>1110100 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]=>1110110 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]=>[1,4,2,3,8,5,6,7]=>[7,6,5,8,3,2,4,1]=>1110110 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,4,2,7,5,6,8]=>[1,4,2,3,7,6,5,8]=>[8,5,6,7,3,2,4,1]=>1110100 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,5,6,7]=>[1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]=>1110000 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8]=>[1,5,2,3,4,6,7,8]=>[8,7,6,4,3,2,5,1]=>1111011 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,5,2,6,8,7]=>[1,5,2,3,4,6,8,7]=>[7,8,6,4,3,2,5,1]=>1111010 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,6,7,4,3,2,5,1]=>1111010 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,2,7,8,6]=>[1,5,2,3,4,8,6,7]=>[7,6,8,4,3,2,5,1]=>1111010 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,6,7]=>[1,5,2,3,4,8,7,6]=>[6,7,8,4,3,2,5,1]=>1111000 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,2,7,8]=>[1,6,2,3,4,5,7,8]=>[8,7,5,4,3,2,6,1]=>1111101 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,6,2,8,7]=>[1,6,2,3,4,5,8,7]=>[7,8,5,4,3,2,6,1]=>1111100 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>[1,7,2,3,4,5,6,8]=>[8,6,5,4,3,2,7,1]=>1111110 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]=>1111110 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,8,2,7]=>[1,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,1]=>1111100 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,5,7,2,6,8]=>[1,7,6,2,3,4,5,8]=>[8,5,4,3,2,6,7,1]=>1111100 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,5,7,2,8,6]=>[1,8,6,2,3,4,5,7]=>[7,5,4,3,2,6,8,1]=>1111100 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,7,8,2,6]=>[1,7,2,3,4,5,8,6]=>[6,8,5,4,3,2,7,1]=>1111100 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,2,6,7]=>[1,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,1]=>1111000 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,4,6,2,5,7,8]=>[1,6,5,2,3,4,7,8]=>[8,7,4,3,2,5,6,1]=>1111001 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,4,6,2,5,8,7]=>[1,6,5,2,3,4,8,7]=>[7,8,4,3,2,5,6,1]=>1111000 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,4,6,2,7,5,8]=>[1,7,5,2,3,4,6,8]=>[8,6,4,3,2,5,7,1]=>1111010 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,4,6,7,2,8,5]=>[1,6,2,3,4,8,5,7]=>[7,5,8,4,3,2,6,1]=>1111100 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,4,6,8,2,5,7]=>[1,6,2,3,4,8,7,5]=>[5,7,8,4,3,2,6,1]=>1111000 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,4,7,2,5,6,8]=>[1,7,6,5,2,3,4,8]=>[8,4,3,2,5,6,7,1]=>1111000 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,2,5,6,7]=>[1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]=>1110000 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,5,2,4,6,7,8]=>[1,5,4,2,3,6,7,8]=>[8,7,6,3,2,4,5,1]=>1110011 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,5,2,4,6,8,7]=>[1,5,4,2,3,6,8,7]=>[7,8,6,3,2,4,5,1]=>1110010 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,2,4,7,6,8]=>[1,5,4,2,3,7,6,8]=>[8,6,7,3,2,4,5,1]=>1110010 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,5,2,4,8,6,7]=>[1,5,4,2,3,8,7,6]=>[6,7,8,3,2,4,5,1]=>1110000 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,5,2,6,4,7,8]=>[1,6,4,2,3,5,7,8]=>[8,7,5,3,2,4,6,1]=>1110101 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,3,5,2,6,7,4,8]=>[1,7,4,2,3,5,6,8]=>[8,6,5,3,2,4,7,1]=>1110110 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,5,2,6,7,8,4]=>[1,8,4,2,3,5,6,7]=>[7,6,5,3,2,4,8,1]=>1110110 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,5,2,6,8,4,7]=>[1,8,7,4,2,3,5,6]=>[6,5,3,2,4,7,8,1]=>1110100 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,2,7,4,8,6]=>[1,8,6,4,2,3,5,7]=>[7,5,3,2,4,6,8,1]=>1110100 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,5,2,8,4,6,7]=>[1,8,7,6,4,2,3,5]=>[5,3,2,4,6,7,8,1]=>1110000 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,5,6,2,4,7,8]=>[1,5,2,3,6,4,7,8]=>[8,7,4,6,3,2,5,1]=>1111001 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,5,6,2,7,4,8]=>[1,5,2,3,7,4,6,8]=>[8,6,4,7,3,2,5,1]=>1111010 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,5,6,2,7,8,4]=>[1,5,2,3,8,4,6,7]=>[7,6,4,8,3,2,5,1]=>1111010 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,5,6,2,8,4,7]=>[1,5,2,3,8,7,4,6]=>[6,4,7,8,3,2,5,1]=>1111000 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,5,6,7,2,4,8]=>[1,7,4,6,2,3,5,8]=>[8,5,3,2,6,4,7,1]=>1111100 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,5,6,7,2,8,4]=>[1,8,4,6,2,3,5,7]=>[7,5,3,2,6,4,8,1]=>1111100 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,8,2,4]=>[1,7,2,3,5,8,4,6]=>[6,4,8,5,3,2,7,1]=>1111100 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,3,5,6,8,2,4,7]=>[1,8,7,4,6,2,3,5]=>[5,3,2,6,4,7,8,1]=>1111000 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,5,7,2,4,6,8]=>[1,5,2,3,7,6,4,8]=>[8,4,6,7,3,2,5,1]=>1111000 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,5,7,2,8,4,6]=>[1,5,2,3,7,4,8,6]=>[6,8,4,7,3,2,5,1]=>1111000 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,5,7,8,2,4,6]=>[1,7,4,8,6,2,3,5]=>[5,3,2,6,8,4,7,1]=>1111000 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,3,6,2,4,5,8,7]=>[1,6,5,4,2,3,8,7]=>[7,8,3,2,4,5,6,1]=>1110000 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,6,2,4,7,8,5]=>[1,8,5,4,2,3,6,7]=>[7,6,3,2,4,5,8,1]=>1110010 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,3,6,2,7,4,5,8]=>[1,6,4,2,3,7,5,8]=>[8,5,7,3,2,4,6,1]=>1110100 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,6,2,7,4,8,5]=>[1,6,4,2,3,8,5,7]=>[7,5,8,3,2,4,6,1]=>1110100 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,6,2,7,8,4,5]=>[1,8,5,7,4,2,3,6]=>[6,3,2,4,7,5,8,1]=>1110100 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,6,2,8,4,5,7]=>[1,6,4,2,3,8,7,5]=>[5,7,8,3,2,4,6,1]=>1110000 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,6,7,2,8,4,5]=>[1,7,4,8,5,2,3,6]=>[6,3,2,5,8,4,7,1]=>1111000 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,6,7,8,2,4,5]=>[1,6,2,3,7,4,8,5]=>[5,8,4,7,3,2,6,1]=>1111000 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,7,2,4,5,6,8]=>[1,7,6,5,4,2,3,8]=>[8,3,2,4,5,6,7,1]=>1110000 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,3,7,2,4,5,8,6]=>[1,8,6,5,4,2,3,7]=>[7,3,2,4,5,6,8,1]=>1110000 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,7,8,2,4,5,6]=>[1,7,5,2,3,8,6,4]=>[4,6,8,3,2,5,7,1]=>1110000 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,2,4,5,6,7]=>[1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]=>1100000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,2,3,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>1100111 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,2,3,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]=>1100110 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,4,2,3,5,7,8,6]=>[1,4,3,2,5,8,6,7]=>[7,6,8,5,2,3,4,1]=>1100110 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,2,3,5,8,6,7]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>1100100 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,4,2,3,6,5,7,8]=>[1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]=>1100101 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,4,2,3,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[7,8,5,6,2,3,4,1]=>1100100 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,2,3,6,7,5,8]=>[1,4,3,2,7,5,6,8]=>[8,6,5,7,2,3,4,1]=>1100110 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,2,3,6,7,8,5]=>[1,4,3,2,8,5,6,7]=>[7,6,5,8,2,3,4,1]=>1100110 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,4,2,3,6,8,5,7]=>[1,4,3,2,8,7,5,6]=>[6,5,7,8,2,3,4,1]=>1100100 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,2,3,7,5,6,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>1100100 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,2,3,8,5,6,7]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>1100000 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,2,5,3,6,7,8]=>[1,5,3,2,4,6,7,8]=>[8,7,6,4,2,3,5,1]=>1101011 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,2,5,3,7,6,8]=>[1,5,3,2,4,7,6,8]=>[8,6,7,4,2,3,5,1]=>1101010 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,2,5,3,7,8,6]=>[1,5,3,2,4,8,6,7]=>[7,6,8,4,2,3,5,1]=>1101010 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,2,5,3,8,6,7]=>[1,5,3,2,4,8,7,6]=>[6,7,8,4,2,3,5,1]=>1101000 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,2,5,6,3,7,8]=>[1,6,3,2,4,5,7,8]=>[8,7,5,4,2,3,6,1]=>1101101 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,4,2,5,6,7,3,8]=>[1,7,3,2,4,5,6,8]=>[8,6,5,4,2,3,7,1]=>1101110 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,6,7,8,3]=>[1,8,3,2,4,5,6,7]=>[7,6,5,4,2,3,8,1]=>1101110 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,2,5,6,8,3,7]=>[1,8,7,3,2,4,5,6]=>[6,5,4,2,3,7,8,1]=>1101100 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,2,5,7,3,6,8]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]=>1101100 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,2,5,7,3,8,6]=>[1,8,6,3,2,4,5,7]=>[7,5,4,2,3,6,8,1]=>1101100 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,2,5,7,8,3,6]=>[1,7,3,2,4,5,8,6]=>[6,8,5,4,2,3,7,1]=>1101100 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,2,5,8,3,6,7]=>[1,8,7,6,3,2,4,5]=>[5,4,2,3,6,7,8,1]=>1101000 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,4,2,6,3,5,8,7]=>[1,6,5,3,2,4,8,7]=>[7,8,4,2,3,5,6,1]=>1101000 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,2,6,3,7,5,8]=>[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]=>1101010 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,6,3,7,8,5]=>[1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]=>1101010 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,2,6,7,3,8,5]=>[1,6,3,2,4,8,5,7]=>[7,5,8,4,2,3,6,1]=>1101100 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,2,6,7,8,3,5]=>[1,8,5,7,3,2,4,6]=>[6,4,2,3,7,5,8,1]=>1101100 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,2,6,8,3,5,7]=>[1,6,3,2,4,8,7,5]=>[5,7,8,4,2,3,6,1]=>1101000 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,4,2,7,3,5,6,8]=>[1,7,6,5,3,2,4,8]=>[8,4,2,3,5,6,7,1]=>1101000 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,7,3,5,8,6]=>[1,8,6,5,3,2,4,7]=>[7,4,2,3,5,6,8,1]=>1101000 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,2,7,8,3,5,6]=>[1,8,6,3,2,4,7,5]=>[5,7,4,2,3,6,8,1]=>1101000 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,2,8,3,5,6,7]=>[1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1]=>1100000 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,4,5,2,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[8,7,6,3,5,2,4,1]=>1110011 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,4,5,2,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>[8,6,7,3,5,2,4,1]=>1110010 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,4,5,2,3,7,8,6]=>[1,4,2,5,3,8,6,7]=>[7,6,8,3,5,2,4,1]=>1110010 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,4,5,2,6,3,7,8]=>[1,4,2,6,3,5,7,8]=>[8,7,5,3,6,2,4,1]=>1110101 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,4,5,2,6,3,8,7]=>[1,4,2,6,3,5,8,7]=>[7,8,5,3,6,2,4,1]=>1110100 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,4,5,2,6,7,3,8]=>[1,4,2,7,3,5,6,8]=>[8,6,5,3,7,2,4,1]=>1110110 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,5,2,6,7,8,3]=>[1,4,2,8,3,5,6,7]=>[7,6,5,3,8,2,4,1]=>1110110 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,6,8,3,7]=>[1,4,2,8,7,3,5,6]=>[6,5,3,7,8,2,4,1]=>1110100 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,4,5,2,7,8,3,6]=>[1,4,2,7,3,5,8,6]=>[6,8,5,3,7,2,4,1]=>1110100 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,2,8,3,6,7]=>[1,4,2,8,7,6,3,5]=>[5,3,6,7,8,2,4,1]=>1110000 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,6,2,3,7,8]=>[1,6,3,5,2,4,7,8]=>[8,7,4,2,5,3,6,1]=>1111001 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,6,2,7,3,8]=>[1,7,3,5,2,4,6,8]=>[8,6,4,2,5,3,7,1]=>1111010 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,7,2,3,8]=>[1,6,2,4,7,3,5,8]=>[8,5,3,7,4,2,6,1]=>1111100 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,7,2,8,3]=>[1,6,2,4,8,3,5,7]=>[7,5,3,8,4,2,6,1]=>1111100 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,2,3]=>[1,8,3,5,7,2,4,6]=>[6,4,2,7,5,3,8,1]=>1111100 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,6,8,2,3,7]=>[1,6,2,4,8,7,3,5]=>[5,3,7,8,4,2,6,1]=>1111000 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,4,5,7,2,3,6,8]=>[1,7,6,3,5,2,4,8]=>[8,4,2,5,3,6,7,1]=>1111000 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,4,5,7,2,8,3,6]=>[1,7,3,5,2,4,8,6]=>[6,8,4,2,5,3,7,1]=>1111000 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,4,5,7,8,2,3,6]=>[1,8,6,2,4,7,3,5]=>[5,3,7,4,2,6,8,1]=>1111000 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,4,5,8,2,3,6,7]=>[1,8,7,6,3,5,2,4]=>[4,2,5,3,6,7,8,1]=>1110000 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,4,6,2,3,5,7,8]=>[1,4,2,6,5,3,7,8]=>[8,7,3,5,6,2,4,1]=>1110001 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,4,6,2,3,7,8,5]=>[1,4,2,8,5,3,6,7]=>[7,6,3,5,8,2,4,1]=>1110010 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,4,6,2,3,8,5,7]=>[1,4,2,8,7,5,3,6]=>[6,3,5,7,8,2,4,1]=>1110000 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,4,6,2,7,3,5,8]=>[1,4,2,6,3,7,5,8]=>[8,5,7,3,6,2,4,1]=>1110100 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,4,6,2,7,3,8,5]=>[1,4,2,6,3,8,5,7]=>[7,5,8,3,6,2,4,1]=>1110100 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,4,6,2,7,8,3,5]=>[1,4,2,8,5,7,3,6]=>[6,3,7,5,8,2,4,1]=>1110100 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,4,6,7,2,3,5,8]=>[1,6,3,7,5,2,4,8]=>[8,4,2,5,7,3,6,1]=>1111000 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,4,6,7,2,3,8,5]=>[1,6,3,8,5,2,4,7]=>[7,4,2,5,8,3,6,1]=>1111000 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,4,6,7,2,8,3,5]=>[1,8,5,2,4,7,3,6]=>[6,3,7,4,2,5,8,1]=>1111000 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,4,7,2,3,8,5,6]=>[1,4,2,7,5,3,8,6]=>[6,8,3,5,7,2,4,1]=>1110000 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,4,7,8,2,3,5,6]=>[1,8,6,3,7,5,2,4]=>[4,2,5,7,3,6,8,1]=>1110000 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,4,8,2,3,5,6,7]=>[1,4,2,8,7,6,5,3]=>[3,5,6,7,8,2,4,1]=>1100000 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,2,3,4,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>1100011 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,5,2,3,4,6,8,7]=>[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>1100010 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,2,3,4,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>1100010 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,2,3,4,7,8,6]=>[1,5,4,3,2,8,6,7]=>[7,6,8,2,3,4,5,1]=>1100010 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,2,3,4,8,6,7]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>1100000 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,2,3,6,7,8,4]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]=>1100110 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,2,3,6,8,4,7]=>[1,8,7,4,3,2,5,6]=>[6,5,2,3,4,7,8,1]=>1100100 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,5,2,3,7,4,6,8]=>[1,7,6,4,3,2,5,8]=>[8,5,2,3,4,6,7,1]=>1100100 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,2,3,7,4,8,6]=>[1,8,6,4,3,2,5,7]=>[7,5,2,3,4,6,8,1]=>1100100 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,2,3,7,8,4,6]=>[1,7,4,3,2,5,8,6]=>[6,8,5,2,3,4,7,1]=>1100100 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,2,3,8,4,6,7]=>[1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]=>1100000 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,2,6,3,4,7,8]=>[1,5,3,2,6,4,7,8]=>[8,7,4,6,2,3,5,1]=>1101001 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,2,6,3,7,4,8]=>[1,5,3,2,7,4,6,8]=>[8,6,4,7,2,3,5,1]=>1101010 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,6,3,7,8,4]=>[1,5,3,2,8,4,6,7]=>[7,6,4,8,2,3,5,1]=>1101010 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,2,6,3,8,4,7]=>[1,5,3,2,8,7,4,6]=>[6,4,7,8,2,3,5,1]=>1101000 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,5,2,6,7,8,3,4]=>[1,7,3,2,5,8,4,6]=>[6,4,8,5,2,3,7,1]=>1101100 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,2,7,3,4,6,8]=>[1,5,3,2,7,6,4,8]=>[8,4,6,7,2,3,5,1]=>1101000 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,5,2,7,8,3,4,6]=>[1,7,4,8,6,3,2,5]=>[5,2,3,6,8,4,7,1]=>1101000 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,5,2,8,3,4,6,7]=>[1,5,3,2,8,7,6,4]=>[4,6,7,8,2,3,5,1]=>1100000 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,5,6,2,3,4,7,8]=>[1,6,4,2,5,3,7,8]=>[8,7,3,5,2,4,6,1]=>1110001 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,5,6,2,3,4,8,7]=>[1,6,4,2,5,3,8,7]=>[7,8,3,5,2,4,6,1]=>1110000 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,5,6,2,3,7,8,4]=>[1,8,4,2,5,3,6,7]=>[7,6,3,5,2,4,8,1]=>1110010 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,5,6,2,3,8,4,7]=>[1,8,7,4,2,5,3,6]=>[6,3,5,2,4,7,8,1]=>1110000 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,6,2,7,3,8,4]=>[1,6,3,8,4,2,5,7]=>[7,5,2,4,8,3,6,1]=>1110100 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,5,6,2,7,8,3,4]=>[1,8,4,2,5,7,3,6]=>[6,3,7,5,2,4,8,1]=>1110100 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,5,6,7,2,3,4,8]=>[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>1111000 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,6,7,2,3,8,4]=>[1,5,2,6,3,8,4,7]=>[7,4,8,3,6,2,5,1]=>1111000 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,5,6,7,2,8,3,4]=>[1,5,2,8,4,7,3,6]=>[6,3,7,4,8,2,5,1]=>1111000 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,8,2,3,4]=>[1,8,4,7,3,6,2,5]=>[5,2,6,3,7,4,8,1]=>1111000 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,5,6,8,2,3,4,7]=>[1,5,2,6,3,8,7,4]=>[4,7,8,3,6,2,5,1]=>1110000 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,5,7,2,8,3,4,6]=>[1,8,6,3,7,4,2,5]=>[5,2,4,7,3,6,8,1]=>1110000 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,5,7,8,2,3,4,6]=>[1,5,2,8,6,3,7,4]=>[4,7,3,6,8,2,5,1]=>1110000 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,5,8,2,3,4,6,7]=>[1,8,7,6,4,2,5,3]=>[3,5,2,4,6,7,8,1]=>1100000 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,2,3,4,5,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>1100001 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,6,2,3,4,5,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>1100000 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,2,3,4,7,8,5]=>[1,8,5,4,3,2,6,7]=>[7,6,2,3,4,5,8,1]=>1100010 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,2,3,4,8,5,7]=>[1,8,7,5,4,3,2,6]=>[6,2,3,4,5,7,8,1]=>1100000 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,7,3,4,8,5]=>[1,8,5,3,2,6,4,7]=>[7,4,6,2,3,5,8,1]=>1101000 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,6,2,7,8,3,4,5]=>[1,6,3,2,7,4,8,5]=>[5,8,4,7,2,3,6,1]=>1101000 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,6,7,2,3,4,5,8]=>[1,6,4,2,7,5,3,8]=>[8,3,5,7,2,4,6,1]=>1110000 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,6,7,2,3,4,8,5]=>[1,6,4,2,8,5,3,7]=>[7,3,5,8,2,4,6,1]=>1110000 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,6,7,2,8,3,4,5]=>[1,7,4,2,6,3,8,5]=>[5,8,3,6,2,4,7,1]=>1110000 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,2,3,4,5]=>[1,8,5,2,6,3,7,4]=>[4,7,3,6,2,5,8,1]=>1110000 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,6,8,2,3,4,5,7]=>[1,6,4,2,8,7,5,3]=>[3,5,7,8,2,4,6,1]=>1100000 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,2,3,4,5,6,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>1100000 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,2,3,4,5,8,6]=>[1,8,6,5,4,3,2,7]=>[7,2,3,4,5,6,8,1]=>1100000 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,7,2,3,8,4,5,6]=>[1,8,6,4,3,2,7,5]=>[5,7,2,3,4,6,8,1]=>1100000 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,2,8,3,4,5,6]=>[1,7,5,3,2,8,6,4]=>[4,6,8,2,3,5,7,1]=>1100000 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7,8,2,3,4,5,6]=>[1,8,6,4,2,7,5,3]=>[3,5,7,2,4,6,8,1]=>1100000 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>1000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>1011111 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>1011110 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]=>1011110 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,6,7]=>[7,6,8,5,4,3,1,2]=>1011110 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,8,7,6]=>[6,7,8,5,4,3,1,2]=>1011100 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]=>1011101 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>[7,8,5,6,4,3,1,2]=>1011100 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,4,6,7,5,8]=>[2,1,3,4,7,5,6,8]=>[8,6,5,7,4,3,1,2]=>1011110 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,5,6,7]=>[7,6,5,8,4,3,1,2]=>1011110 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,4,6,8,5,7]=>[2,1,3,4,8,7,5,6]=>[6,5,7,8,4,3,1,2]=>1011100 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,4,7,5,8,6]=>[2,1,3,4,8,6,5,7]=>[7,5,6,8,4,3,1,2]=>1011100 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>1011000 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]=>1011011 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>1011010 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,8,6,7]=>[2,1,3,5,4,8,7,6]=>[6,7,8,4,5,3,1,2]=>1011000 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,3,5,6,4,7,8]=>[2,1,3,6,4,5,7,8]=>[8,7,5,4,6,3,1,2]=>1011101 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,4]=>[2,1,3,8,4,5,6,7]=>[7,6,5,4,8,3,1,2]=>1011110 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,3,5,6,8,4,7]=>[2,1,3,8,7,4,5,6]=>[6,5,4,7,8,3,1,2]=>1011100 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,3,5,7,4,6,8]=>[2,1,3,7,6,4,5,8]=>[8,5,4,6,7,3,1,2]=>1011100 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,3,5,8,4,6,7]=>[2,1,3,8,7,6,4,5]=>[5,4,6,7,8,3,1,2]=>1011000 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,6,4,5,8,7]=>[2,1,3,6,5,4,8,7]=>[7,8,4,5,6,3,1,2]=>1011000 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,3,6,4,7,8,5]=>[2,1,3,8,5,4,6,7]=>[7,6,4,5,8,3,1,2]=>1011010 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,3,6,7,4,8,5]=>[2,1,3,6,4,8,5,7]=>[7,5,8,4,6,3,1,2]=>1011100 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,6,7,8,4,5]=>[2,1,3,8,5,7,4,6]=>[6,4,7,5,8,3,1,2]=>1011100 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,4,5,6,7]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>1010000 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>1010111 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>[7,8,6,5,3,4,1,2]=>1010110 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,6,7]=>[7,6,8,5,3,4,1,2]=>1010110 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,4,3,5,8,6,7]=>[2,1,4,3,5,8,7,6]=>[6,7,8,5,3,4,1,2]=>1010100 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]=>1010101 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>1010100 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,3,6,7,5,8]=>[2,1,4,3,7,5,6,8]=>[8,6,5,7,3,4,1,2]=>1010110 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]=>1010110 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,5,7]=>[2,1,4,3,8,7,5,6]=>[6,5,7,8,3,4,1,2]=>1010100 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,8,6,5,7]=>[7,5,6,8,3,4,1,2]=>1010100 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,7,5,8,6]=>[6,8,5,7,3,4,1,2]=>1010100 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>1010000 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,1,4,5,3,8,6,7]=>[2,1,5,3,4,8,7,6]=>[6,7,8,4,3,5,1,2]=>1011000 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[2,1,6,3,4,5,8,7]=>[7,8,5,4,3,6,1,2]=>1011100 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,3,8]=>[2,1,7,3,4,5,6,8]=>[8,6,5,4,3,7,1,2]=>1011110 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2]=>1011110 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,6,8,3,7]=>[2,1,8,7,3,4,5,6]=>[6,5,4,3,7,8,1,2]=>1011100 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,4,5,7,3,8,6]=>[2,1,8,6,3,4,5,7]=>[7,5,4,3,6,8,1,2]=>1011100 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,7,8,3,6]=>[2,1,7,3,4,5,8,6]=>[6,8,5,4,3,7,1,2]=>1011100 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,3,6,7]=>[2,1,8,7,6,3,4,5]=>[5,4,3,6,7,8,1,2]=>1011000 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,3,5,7,8]=>[2,1,6,5,3,4,7,8]=>[8,7,4,3,5,6,1,2]=>1011001 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,3,5,8,7]=>[2,1,6,5,3,4,8,7]=>[7,8,4,3,5,6,1,2]=>1011000 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,4,6,3,7,8,5]=>[2,1,8,5,3,4,6,7]=>[7,6,4,3,5,8,1,2]=>1011010 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,3,8,5,7]=>[2,1,8,7,5,3,4,6]=>[6,4,3,5,7,8,1,2]=>1011000 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,4,6,7,3,5,8]=>[2,1,6,3,4,7,5,8]=>[8,5,7,4,3,6,1,2]=>1011100 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,4,6,7,3,8,5]=>[2,1,6,3,4,8,5,7]=>[7,5,8,4,3,6,1,2]=>1011100 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,6,7,8,3,5]=>[2,1,8,5,7,3,4,6]=>[6,4,3,7,5,8,1,2]=>1011100 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,8,3,5,7]=>[2,1,6,3,4,8,7,5]=>[5,7,8,4,3,6,1,2]=>1011000 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,1,4,7,3,5,6,8]=>[2,1,7,6,5,3,4,8]=>[8,4,3,5,6,7,1,2]=>1011000 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,4,7,3,8,5,6]=>[2,1,7,5,3,4,8,6]=>[6,8,4,3,5,7,1,2]=>1011000 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,4,7,8,3,5,6]=>[2,1,8,6,3,4,7,5]=>[5,7,4,3,6,8,1,2]=>1011000 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,3,5,6,7]=>[2,1,8,7,6,5,3,4]=>[4,3,5,6,7,8,1,2]=>1010000 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,3,4,6,7,8]=>[2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]=>1010011 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,3,6,4,8,7]=>[2,1,6,4,3,5,8,7]=>[7,8,5,3,4,6,1,2]=>1010100 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,3,6,7,8,4]=>[2,1,8,4,3,5,6,7]=>[7,6,5,3,4,8,1,2]=>1010110 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,3,6,8,4,7]=>[2,1,8,7,4,3,5,6]=>[6,5,3,4,7,8,1,2]=>1010100 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,5,3,7,4,6,8]=>[2,1,7,6,4,3,5,8]=>[8,5,3,4,6,7,1,2]=>1010100 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,3,7,4,8,6]=>[2,1,8,6,4,3,5,7]=>[7,5,3,4,6,8,1,2]=>1010100 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,5,3,7,8,4,6]=>[2,1,7,4,3,5,8,6]=>[6,8,5,3,4,7,1,2]=>1010100 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,5,3,8,4,6,7]=>[2,1,8,7,6,4,3,5]=>[5,3,4,6,7,8,1,2]=>1010000 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,5,6,3,4,7,8]=>[2,1,5,3,6,4,7,8]=>[8,7,4,6,3,5,1,2]=>1011001 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,3,4,8,7]=>[2,1,5,3,6,4,8,7]=>[7,8,4,6,3,5,1,2]=>1011000 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,5,6,3,7,4,8]=>[2,1,5,3,7,4,6,8]=>[8,6,4,7,3,5,1,2]=>1011010 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,5,6,7,3,8,4]=>[2,1,8,4,6,3,5,7]=>[7,5,3,6,4,8,1,2]=>1011100 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,8,3,4]=>[2,1,7,3,5,8,4,6]=>[6,4,8,5,3,7,1,2]=>1011100 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,5,6,8,3,4,7]=>[2,1,8,7,4,6,3,5]=>[5,3,6,4,7,8,1,2]=>1011000 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,5,7,3,4,8,6]=>[2,1,5,3,8,6,4,7]=>[7,4,6,8,3,5,1,2]=>1011000 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,1,5,7,3,8,4,6]=>[2,1,5,3,7,4,8,6]=>[6,8,4,7,3,5,1,2]=>1011000 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,5,7,8,3,4,6]=>[2,1,7,4,8,6,3,5]=>[5,3,6,8,4,7,1,2]=>1011000 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,5,8,3,4,6,7]=>[2,1,5,3,8,7,6,4]=>[4,6,7,8,3,5,1,2]=>1010000 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,6,3,4,5,7,8]=>[2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]=>1010001 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,3,4,5,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>1010000 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,6,3,4,7,8,5]=>[2,1,8,5,4,3,6,7]=>[7,6,3,4,5,8,1,2]=>1010010 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,6,3,4,8,5,7]=>[2,1,8,7,5,4,3,6]=>[6,3,4,5,7,8,1,2]=>1010000 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,3,7,4,8,5]=>[2,1,6,4,3,8,5,7]=>[7,5,8,3,4,6,1,2]=>1010100 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,6,3,7,8,4,5]=>[2,1,8,5,7,4,3,6]=>[6,3,4,7,5,8,1,2]=>1010100 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,6,3,8,4,5,7]=>[2,1,6,4,3,8,7,5]=>[5,7,8,3,4,6,1,2]=>1010000 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,6,7,3,8,4,5]=>[2,1,7,4,8,5,3,6]=>[6,3,5,8,4,7,1,2]=>1011000 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,3,4,5]=>[2,1,6,3,7,4,8,5]=>[5,8,4,7,3,6,1,2]=>1011000 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,6,8,3,4,5,7]=>[2,1,8,7,5,3,6,4]=>[4,6,3,5,7,8,1,2]=>1010000 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,7,3,4,5,6,8]=>[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>1010000 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,7,3,4,5,8,6]=>[2,1,8,6,5,4,3,7]=>[7,3,4,5,6,8,1,2]=>1010000 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,7,3,4,8,5,6]=>[2,1,7,5,4,3,8,6]=>[6,8,3,4,5,7,1,2]=>1010000 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,3,8,4,5,6]=>[2,1,8,6,4,3,7,5]=>[5,7,3,4,6,8,1,2]=>1010000 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,7,8,3,4,5,6]=>[2,1,7,5,3,8,6,4]=>[4,6,8,3,5,7,1,2]=>1010000 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,3,4,5,6,7]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>1000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]=>1101111 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,8,7]=>[3,1,2,4,5,6,8,7]=>[7,8,6,5,4,2,1,3]=>1101110 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,7,6,8]=>[3,1,2,4,5,7,6,8]=>[8,6,7,5,4,2,1,3]=>1101110 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]=>1101110 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,5,8,6,7]=>[3,1,2,4,5,8,7,6]=>[6,7,8,5,4,2,1,3]=>1101100 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,1,4,6,5,7,8]=>[3,1,2,4,6,5,7,8]=>[8,7,5,6,4,2,1,3]=>1101101 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,1,4,6,5,8,7]=>[3,1,2,4,6,5,8,7]=>[7,8,5,6,4,2,1,3]=>1101100 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,5,8]=>[3,1,2,4,7,5,6,8]=>[8,6,5,7,4,2,1,3]=>1101110 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[3,1,2,4,8,5,6,7]=>[7,6,5,8,4,2,1,3]=>1101110 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,1,4,6,8,5,7]=>[3,1,2,4,8,7,5,6]=>[6,5,7,8,4,2,1,3]=>1101100 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,1,4,7,8,5,6]=>[3,1,2,4,7,5,8,6]=>[6,8,5,7,4,2,1,3]=>1101100 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,5,6,7]=>[3,1,2,4,8,7,6,5]=>[5,6,7,8,4,2,1,3]=>1101000 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8]=>[3,1,2,5,4,6,7,8]=>[8,7,6,4,5,2,1,3]=>1101011 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[3,1,2,5,4,7,6,8]=>[8,6,7,4,5,2,1,3]=>1101010 [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,4,7,8,6]=>[3,1,2,5,4,8,6,7]=>[7,6,8,4,5,2,1,3]=>1101010 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,4,8]=>[3,1,2,7,4,5,6,8]=>[8,6,5,4,7,2,1,3]=>1101110 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[3,1,2,8,4,5,6,7]=>[7,6,5,4,8,2,1,3]=>1101110 [1,1,0,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,1,5,8,4,6,7]=>[3,1,2,8,7,6,4,5]=>[5,4,6,7,8,2,1,3]=>1101000 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,6,4,5,7,8]=>[3,1,2,6,5,4,7,8]=>[8,7,4,5,6,2,1,3]=>1101001 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,4,7,5,8]=>[3,1,2,7,5,4,6,8]=>[8,6,4,5,7,2,1,3]=>1101010 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,4,7,8,5]=>[3,1,2,8,5,4,6,7]=>[7,6,4,5,8,2,1,3]=>1101010 [1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,1,6,7,4,5,8]=>[3,1,2,6,4,7,5,8]=>[8,5,7,4,6,2,1,3]=>1101100 [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,6,7,8,4,5]=>[3,1,2,8,5,7,4,6]=>[6,4,7,5,8,2,1,3]=>1101100 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,1,6,8,4,5,7]=>[3,1,2,6,4,8,7,5]=>[5,7,8,4,6,2,1,3]=>1101000 [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,3,1,7,4,5,6,8]=>[3,1,2,7,6,5,4,8]=>[8,4,5,6,7,2,1,3]=>1101000 [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,7,4,5,8,6]=>[3,1,2,8,6,5,4,7]=>[7,4,5,6,8,2,1,3]=>1101000 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,7,4,8,5,6]=>[3,1,2,7,5,4,8,6]=>[6,8,4,5,7,2,1,3]=>1101000 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,4,5,6,7]=>[3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3]=>1100000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]=>1110111 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>[4,1,2,3,5,6,8,7]=>[7,8,6,5,3,2,1,4]=>1110110 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>[4,1,2,3,5,7,6,8]=>[8,6,7,5,3,2,1,4]=>1110110 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]=>[4,1,2,3,5,8,6,7]=>[7,6,8,5,3,2,1,4]=>1110110 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,6,7]=>[4,1,2,3,5,8,7,6]=>[6,7,8,5,3,2,1,4]=>1110100 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]=>[4,1,2,3,6,5,7,8]=>[8,7,5,6,3,2,1,4]=>1110101 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]=>1110100 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>[4,1,2,3,7,5,6,8]=>[8,6,5,7,3,2,1,4]=>1110110 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]=>1110110 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,5,7]=>[4,1,2,3,8,7,5,6]=>[6,5,7,8,3,2,1,4]=>1110100 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,7,5,6,8]=>[4,1,2,3,7,6,5,8]=>[8,5,6,7,3,2,1,4]=>1110100 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,5,8,6]=>[4,1,2,3,8,6,5,7]=>[7,5,6,8,3,2,1,4]=>1110100 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,7,8,5,6]=>[4,1,2,3,7,5,8,6]=>[6,8,5,7,3,2,1,4]=>1110100 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,5,6,7]=>[4,1,2,3,8,7,6,5]=>[5,6,7,8,3,2,1,4]=>1110000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]=>1111011 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,8,7]=>[5,1,2,3,4,6,8,7]=>[7,8,6,4,3,2,1,5]=>1111010 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,8]=>[5,1,2,3,4,7,6,8]=>[8,6,7,4,3,2,1,5]=>1111010 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[5,1,2,3,4,8,6,7]=>[7,6,8,4,3,2,1,5]=>1111010 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,6,7]=>[5,1,2,3,4,8,7,6]=>[6,7,8,4,3,2,1,5]=>1111000 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>[6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]=>1111101 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]=>1111100 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]=>1111110 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]=>1111110 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,1,7]=>[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]=>1111100 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,7,1,6,8]=>[7,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,7]=>1111100 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,1,8,6]=>[8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8]=>1111100 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,7,8,1,6]=>[7,1,2,3,4,5,8,6]=>[6,8,5,4,3,2,1,7]=>1111100 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,1,6,7]=>[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]=>1111000 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,6,1,5,7,8]=>[6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]=>1111001 [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,4,6,1,5,8,7]=>[6,5,1,2,3,4,8,7]=>[7,8,4,3,2,1,5,6]=>1111000 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,1,7,5,8]=>[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]=>1111010 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,1,7,8,5]=>[8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]=>1111010 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,6,1,8,5,7]=>[8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8]=>1111000 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,4,6,7,1,5,8]=>[6,1,2,3,4,7,5,8]=>[8,5,7,4,3,2,1,6]=>1111100 [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,6,7,1,8,5]=>[6,1,2,3,4,8,5,7]=>[7,5,8,4,3,2,1,6]=>1111100 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,1,5]=>[8,5,7,1,2,3,4,6]=>[6,4,3,2,1,7,5,8]=>1111100 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,6,8,1,5,7]=>[6,1,2,3,4,8,7,5]=>[5,7,8,4,3,2,1,6]=>1111000 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,1,5,6,8]=>[7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]=>1111000 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,1,5,8,6]=>[8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]=>1111000 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,7,1,8,5,6]=>[7,5,1,2,3,4,8,6]=>[6,8,4,3,2,1,5,7]=>1111000 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,1,5,6,7]=>[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]=>1110000 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,1,4,6,7,8]=>[5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5]=>1110011 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,1,4,7,6,8]=>[5,4,1,2,3,7,6,8]=>[8,6,7,3,2,1,4,5]=>1110010 [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,5,1,4,7,8,6]=>[5,4,1,2,3,8,6,7]=>[7,6,8,3,2,1,4,5]=>1110010 [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,1,4,8,6,7]=>[5,4,1,2,3,8,7,6]=>[6,7,8,3,2,1,4,5]=>1110000 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,5,1,6,4,7,8]=>[6,4,1,2,3,5,7,8]=>[8,7,5,3,2,1,4,6]=>1110101 [1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,3,5,1,6,4,8,7]=>[6,4,1,2,3,5,8,7]=>[7,8,5,3,2,1,4,6]=>1110100 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,5,1,6,7,4,8]=>[7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7]=>1110110 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,1,6,7,8,4]=>[8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8]=>1110110 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,3,5,1,6,8,4,7]=>[8,7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7,8]=>1110100 [1,1,0,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,3,5,1,7,4,6,8]=>[7,6,4,1,2,3,5,8]=>[8,5,3,2,1,4,6,7]=>1110100 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,1,7,4,8,6]=>[8,6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6,8]=>1110100 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,5,1,7,8,4,6]=>[7,4,1,2,3,5,8,6]=>[6,8,5,3,2,1,4,7]=>1110100 [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,1,8,4,6,7]=>[8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8]=>1110000 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,5,6,1,4,7,8]=>[5,1,2,3,6,4,7,8]=>[8,7,4,6,3,2,1,5]=>1111001 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,5,6,1,4,8,7]=>[5,1,2,3,6,4,8,7]=>[7,8,4,6,3,2,1,5]=>1111000 [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,5,6,1,7,4,8]=>[5,1,2,3,7,4,6,8]=>[8,6,4,7,3,2,1,5]=>1111010 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,5,6,1,7,8,4]=>[5,1,2,3,8,4,6,7]=>[7,6,4,8,3,2,1,5]=>1111010 [1,1,0,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,3,5,6,1,8,4,7]=>[5,1,2,3,8,7,4,6]=>[6,4,7,8,3,2,1,5]=>1111000 [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,5,6,7,1,4,8]=>[7,4,6,1,2,3,5,8]=>[8,5,3,2,1,6,4,7]=>1111100 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,1,4]=>[7,1,2,3,5,8,4,6]=>[6,4,8,5,3,2,1,7]=>1111100 [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,5,6,8,1,4,7]=>[8,7,4,6,1,2,3,5]=>[5,3,2,1,6,4,7,8]=>1111000 [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,5,7,1,8,4,6]=>[5,1,2,3,7,4,8,6]=>[6,8,4,7,3,2,1,5]=>1111000 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,5,7,8,1,4,6]=>[7,4,8,6,1,2,3,5]=>[5,3,2,1,6,8,4,7]=>1111000 [1,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,5,8,1,4,6,7]=>[5,1,2,3,8,7,6,4]=>[4,6,7,8,3,2,1,5]=>1110000 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,6,1,4,5,7,8]=>[6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]=>1110001 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,1,4,5,8,7]=>[6,5,4,1,2,3,8,7]=>[7,8,3,2,1,4,5,6]=>1110000 [1,1,0,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,6,1,4,7,5,8]=>[7,5,4,1,2,3,6,8]=>[8,6,3,2,1,4,5,7]=>1110010 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,1,4,7,8,5]=>[8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]=>1110010 [1,1,0,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,6,1,4,8,5,7]=>[8,7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7,8]=>1110000 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,6,1,7,8,4,5]=>[8,5,7,4,1,2,3,6]=>[6,3,2,1,4,7,5,8]=>1110100 [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,6,1,8,4,5,7]=>[6,4,1,2,3,8,7,5]=>[5,7,8,3,2,1,4,6]=>1110000 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,6,7,1,8,4,5]=>[7,4,8,5,1,2,3,6]=>[6,3,2,1,5,8,4,7]=>1111000 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,6,7,8,1,4,5]=>[6,1,2,3,7,4,8,5]=>[5,8,4,7,3,2,1,6]=>1111000 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,1,4,5,6,8]=>[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]=>1110000 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,1,4,5,8,6]=>[8,6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6,8]=>1110000 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,7,1,4,8,5,6]=>[7,5,4,1,2,3,8,6]=>[6,8,3,2,1,4,5,7]=>1110000 [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,7,1,8,4,5,6]=>[8,6,4,1,2,3,7,5]=>[5,7,3,2,1,4,6,8]=>1110000 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,7,8,1,4,5,6]=>[7,5,1,2,3,8,6,4]=>[4,6,8,3,2,1,5,7]=>1110000 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,1,4,5,6,7]=>[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]=>1100000 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,1,3,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]=>1100111 [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,4,1,3,5,6,8,7]=>[4,3,1,2,5,6,8,7]=>[7,8,6,5,2,1,3,4]=>1100110 [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,4,1,3,5,7,8,6]=>[4,3,1,2,5,8,6,7]=>[7,6,8,5,2,1,3,4]=>1100110 [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,4,1,3,5,8,6,7]=>[4,3,1,2,5,8,7,6]=>[6,7,8,5,2,1,3,4]=>1100100 [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,4,1,3,6,5,7,8]=>[4,3,1,2,6,5,7,8]=>[8,7,5,6,2,1,3,4]=>1100101 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,5,8,7]=>[4,3,1,2,6,5,8,7]=>[7,8,5,6,2,1,3,4]=>1100100 [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[2,4,1,3,6,7,5,8]=>[4,3,1,2,7,5,6,8]=>[8,6,5,7,2,1,3,4]=>1100110 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,1,3,6,7,8,5]=>[4,3,1,2,8,5,6,7]=>[7,6,5,8,2,1,3,4]=>1100110 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,1,3,6,8,5,7]=>[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]=>1100100 [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,4,1,3,7,5,6,8]=>[4,3,1,2,7,6,5,8]=>[8,5,6,7,2,1,3,4]=>1100100 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,3,7,5,8,6]=>[4,3,1,2,8,6,5,7]=>[7,5,6,8,2,1,3,4]=>1100100 [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,1,3,7,8,5,6]=>[4,3,1,2,7,5,8,6]=>[6,8,5,7,2,1,3,4]=>1100100 [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,1,3,8,5,6,7]=>[4,3,1,2,8,7,6,5]=>[5,6,7,8,2,1,3,4]=>1100000 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,1,5,3,6,7,8]=>[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]=>1101011 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,4,1,5,3,6,8,7]=>[5,3,1,2,4,6,8,7]=>[7,8,6,4,2,1,3,5]=>1101010 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,4,1,5,3,7,6,8]=>[5,3,1,2,4,7,6,8]=>[8,6,7,4,2,1,3,5]=>1101010 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,1,5,3,8,6,7]=>[5,3,1,2,4,8,7,6]=>[6,7,8,4,2,1,3,5]=>1101000 [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,4,1,5,6,3,8,7]=>[6,3,1,2,4,5,8,7]=>[7,8,5,4,2,1,3,6]=>1101100 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,4,1,5,6,7,3,8]=>[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]=>1101110 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,6,7,8,3]=>[8,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,8]=>1101110 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,1,5,6,8,3,7]=>[8,7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7,8]=>1101100 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,4,1,5,7,8,3,6]=>[7,3,1,2,4,5,8,6]=>[6,8,5,4,2,1,3,7]=>1101100 [1,1,0,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,4,1,5,8,3,6,7]=>[8,7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7,8]=>1101000 [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,6,3,5,7,8]=>[6,5,3,1,2,4,7,8]=>[8,7,4,2,1,3,5,6]=>1101001 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,6,3,5,8,7]=>[6,5,3,1,2,4,8,7]=>[7,8,4,2,1,3,5,6]=>1101000 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,6,3,7,5,8]=>[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]=>1101010 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,3,7,8,5]=>[8,5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5,8]=>1101010 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,8,5,7]=>[8,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,8]=>1101000 [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,4,1,6,7,3,5,8]=>[6,3,1,2,4,7,5,8]=>[8,5,7,4,2,1,3,6]=>1101100 [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,4,1,6,7,8,3,5]=>[8,5,7,3,1,2,4,6]=>[6,4,2,1,3,7,5,8]=>1101100 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,1,6,8,3,5,7]=>[6,3,1,2,4,8,7,5]=>[5,7,8,4,2,1,3,6]=>1101000 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,4,1,7,3,8,5,6]=>[7,5,3,1,2,4,8,6]=>[6,8,4,2,1,3,5,7]=>1101000 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,4,1,7,8,3,5,6]=>[8,6,3,1,2,4,7,5]=>[5,7,4,2,1,3,6,8]=>1101000 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,1,8,3,5,6,7]=>[8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]=>1100000 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,4,5,1,3,6,7,8]=>[4,1,2,5,3,6,7,8]=>[8,7,6,3,5,2,1,4]=>1110011 [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,4,5,1,3,7,6,8]=>[4,1,2,5,3,7,6,8]=>[8,6,7,3,5,2,1,4]=>1110010 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,4,5,1,3,7,8,6]=>[4,1,2,5,3,8,6,7]=>[7,6,8,3,5,2,1,4]=>1110010 [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,4,5,1,6,3,8,7]=>[4,1,2,6,3,5,8,7]=>[7,8,5,3,6,2,1,4]=>1110100 [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,4,5,1,6,7,3,8]=>[4,1,2,7,3,5,6,8]=>[8,6,5,3,7,2,1,4]=>1110110 [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,4,5,1,6,8,3,7]=>[4,1,2,8,7,3,5,6]=>[6,5,3,7,8,2,1,4]=>1110100 [1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[2,4,5,1,7,3,8,6]=>[4,1,2,8,6,3,5,7]=>[7,5,3,6,8,2,1,4]=>1110100 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,4,5,1,7,8,3,6]=>[4,1,2,7,3,5,8,6]=>[6,8,5,3,7,2,1,4]=>1110100 [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,4,5,1,8,3,6,7]=>[4,1,2,8,7,6,3,5]=>[5,3,6,7,8,2,1,4]=>1110000 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,6,1,3,7,8]=>[6,3,5,1,2,4,7,8]=>[8,7,4,2,1,5,3,6]=>1111001 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,6,1,3,8,7]=>[6,3,5,1,2,4,8,7]=>[7,8,4,2,1,5,3,6]=>1111000 [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,6,1,7,3,8]=>[7,3,5,1,2,4,6,8]=>[8,6,4,2,1,5,3,7]=>1111010 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,6,1,7,8,3]=>[8,3,5,1,2,4,6,7]=>[7,6,4,2,1,5,3,8]=>1111010 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,6,1,8,3,7]=>[8,7,3,5,1,2,4,6]=>[6,4,2,1,5,3,7,8]=>1111000 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,1,8,3]=>[6,1,2,4,8,3,5,7]=>[7,5,3,8,4,2,1,6]=>1111100 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,1,3]=>[8,3,5,7,1,2,4,6]=>[6,4,2,1,7,5,3,8]=>1111100 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,6,8,1,3,7]=>[6,1,2,4,8,7,3,5]=>[5,3,7,8,4,2,1,6]=>1111000 [1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[2,4,5,7,1,8,3,6]=>[7,3,5,1,2,4,8,6]=>[6,8,4,2,1,5,3,7]=>1111000 [1,1,0,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[2,4,5,8,1,3,6,7]=>[8,7,6,3,5,1,2,4]=>[4,2,1,5,3,6,7,8]=>1110000 [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,4,6,1,3,5,7,8]=>[4,1,2,6,5,3,7,8]=>[8,7,3,5,6,2,1,4]=>1110001 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,6,1,3,5,8,7]=>[4,1,2,6,5,3,8,7]=>[7,8,3,5,6,2,1,4]=>1110000 [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,4,6,1,3,7,8,5]=>[4,1,2,8,5,3,6,7]=>[7,6,3,5,8,2,1,4]=>1110010 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,6,1,3,8,5,7]=>[4,1,2,8,7,5,3,6]=>[6,3,5,7,8,2,1,4]=>1110000 [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,4,6,1,7,3,8,5]=>[4,1,2,6,3,8,5,7]=>[7,5,8,3,6,2,1,4]=>1110100 [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,4,6,1,7,8,3,5]=>[4,1,2,8,5,7,3,6]=>[6,3,7,5,8,2,1,4]=>1110100 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,6,1,8,3,5,7]=>[4,1,2,6,3,8,7,5]=>[5,7,8,3,6,2,1,4]=>1110000 [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,4,6,7,1,3,8,5]=>[6,3,8,5,1,2,4,7]=>[7,4,2,1,5,8,3,6]=>1111000 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,4,6,7,8,1,3,5]=>[7,3,6,1,2,4,8,5]=>[5,8,4,2,1,6,3,7]=>1111000 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>[6,3,8,7,5,1,2,4]=>[4,2,1,5,7,8,3,6]=>1110000 [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,4,7,1,8,3,5,6]=>[4,1,2,8,6,3,7,5]=>[5,7,3,6,8,2,1,4]=>1110000 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,4,7,8,1,3,5,6]=>[8,6,3,7,5,1,2,4]=>[4,2,1,5,7,3,6,8]=>1110000 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,4,8,1,3,5,6,7]=>[4,1,2,8,7,6,5,3]=>[3,5,6,7,8,2,1,4]=>1100000 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,1,3,4,6,7,8]=>[5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]=>1100011 [1,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,5,1,3,4,7,6,8]=>[5,4,3,1,2,7,6,8]=>[8,6,7,2,1,3,4,5]=>1100010 [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,5,1,3,4,8,6,7]=>[5,4,3,1,2,8,7,6]=>[6,7,8,2,1,3,4,5]=>1100000 [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[2,5,1,3,6,4,7,8]=>[6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]=>1100101 [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,5,1,3,6,4,8,7]=>[6,4,3,1,2,5,8,7]=>[7,8,5,2,1,3,4,6]=>1100100 [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,5,1,3,6,7,4,8]=>[7,4,3,1,2,5,6,8]=>[8,6,5,2,1,3,4,7]=>1100110 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,5,1,3,6,7,8,4]=>[8,4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4,8]=>1100110 [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,5,1,3,7,4,6,8]=>[7,6,4,3,1,2,5,8]=>[8,5,2,1,3,4,6,7]=>1100100 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,1,3,7,8,4,6]=>[7,4,3,1,2,5,8,6]=>[6,8,5,2,1,3,4,7]=>1100100 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,5,1,3,8,4,6,7]=>[8,7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7,8]=>1100000 [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,5,1,6,3,7,4,8]=>[5,3,1,2,7,4,6,8]=>[8,6,4,7,2,1,3,5]=>1101010 [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,5,1,6,3,7,8,4]=>[5,3,1,2,8,4,6,7]=>[7,6,4,8,2,1,3,5]=>1101010 [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[2,5,1,6,3,8,4,7]=>[5,3,1,2,8,7,4,6]=>[6,4,7,8,2,1,3,5]=>1101000 [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,5,1,6,7,3,8,4]=>[8,4,6,3,1,2,5,7]=>[7,5,2,1,3,6,4,8]=>1101100 [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[2,5,1,7,3,4,8,6]=>[5,3,1,2,8,6,4,7]=>[7,4,6,8,2,1,3,5]=>1101000 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,5,1,7,3,8,4,6]=>[5,3,1,2,7,4,8,6]=>[6,8,4,7,2,1,3,5]=>1101000 [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,5,1,8,3,4,6,7]=>[5,3,1,2,8,7,6,4]=>[4,6,7,8,2,1,3,5]=>1100000 [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,5,6,1,3,4,7,8]=>[6,4,1,2,5,3,7,8]=>[8,7,3,5,2,1,4,6]=>1110001 [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,5,6,1,3,7,4,8]=>[7,4,1,2,5,3,6,8]=>[8,6,3,5,2,1,4,7]=>1110010 [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,5,6,1,3,8,4,7]=>[8,7,4,1,2,5,3,6]=>[6,3,5,2,1,4,7,8]=>1110000 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,5,6,1,7,8,3,4]=>[8,4,1,2,5,7,3,6]=>[6,3,7,5,2,1,4,8]=>1110100 [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,5,6,1,8,3,4,7]=>[6,3,8,7,4,1,2,5]=>[5,2,1,4,7,8,3,6]=>1110000 [1,1,0,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,5,6,7,1,3,4,8]=>[5,1,2,6,3,7,4,8]=>[8,4,7,3,6,2,1,5]=>1111000 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,5,6,7,1,3,8,4]=>[5,1,2,6,3,8,4,7]=>[7,4,8,3,6,2,1,5]=>1111000 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,5,6,7,1,8,3,4]=>[5,1,2,8,4,7,3,6]=>[6,3,7,4,8,2,1,5]=>1111000 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,8,1,3,4]=>[8,4,7,3,6,1,2,5]=>[5,2,1,6,3,7,4,8]=>1111000 [1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[2,5,7,1,3,4,8,6]=>[8,6,4,1,2,5,3,7]=>[7,3,5,2,1,4,6,8]=>1110000 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[2,5,7,8,1,3,4,6]=>[5,1,2,8,6,3,7,4]=>[4,7,3,6,8,2,1,5]=>1110000 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,5,8,1,3,4,6,7]=>[8,7,6,4,1,2,5,3]=>[3,5,2,1,4,6,7,8]=>1100000 [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[2,6,1,3,4,5,7,8]=>[6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]=>1100001 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[2,6,1,3,4,5,8,7]=>[6,5,4,3,1,2,8,7]=>[7,8,2,1,3,4,5,6]=>1100000 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,6,1,3,4,8,5,7]=>[8,7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7,8]=>1100000 [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[2,6,1,3,7,4,5,8]=>[6,4,3,1,2,7,5,8]=>[8,5,7,2,1,3,4,6]=>1100100 [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,6,1,3,7,4,8,5]=>[6,4,3,1,2,8,5,7]=>[7,5,8,2,1,3,4,6]=>1100100 [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,6,1,3,8,4,5,7]=>[6,4,3,1,2,8,7,5]=>[5,7,8,2,1,3,4,6]=>1100000 [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,6,1,7,3,4,5,8]=>[7,5,3,1,2,6,4,8]=>[8,4,6,2,1,3,5,7]=>1101000 [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,6,1,7,8,3,4,5]=>[6,3,1,2,7,4,8,5]=>[5,8,4,7,2,1,3,6]=>1101000 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,6,1,8,3,4,5,7]=>[8,7,5,3,1,2,6,4]=>[4,6,2,1,3,5,7,8]=>1100000 [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,6,7,1,3,4,5,8]=>[6,4,1,2,7,5,3,8]=>[8,3,5,7,2,1,4,6]=>1110000 [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,6,7,1,3,4,8,5]=>[6,4,1,2,8,5,3,7]=>[7,3,5,8,2,1,4,6]=>1110000 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,6,7,1,8,3,4,5]=>[7,4,1,2,6,3,8,5]=>[5,8,3,6,2,1,4,7]=>1110000 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,6,8,1,3,4,5,7]=>[6,4,1,2,8,7,5,3]=>[3,5,7,8,2,1,4,6]=>1100000 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,1,3,4,5,6,8]=>[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]=>1100000 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,7,1,3,4,5,8,6]=>[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]=>1100000 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,7,1,3,4,8,5,6]=>[7,5,4,3,1,2,8,6]=>[6,8,2,1,3,4,5,7]=>1100000 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,7,1,8,3,4,5,6]=>[7,5,3,1,2,8,6,4]=>[4,6,8,2,1,3,5,7]=>1100000 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,7,8,1,3,4,5,6]=>[8,6,4,1,2,7,5,3]=>[3,5,7,2,1,4,6,8]=>1100000 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,1,3,4,5,6,7]=>[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]=>1000000 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>1001111 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,1,2,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[7,8,6,5,4,1,2,3]=>1001110 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,1,2,4,5,7,8,6]=>[3,2,1,4,5,8,6,7]=>[7,6,8,5,4,1,2,3]=>1001110 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,1,2,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>1001100 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,1,2,4,6,5,8,7]=>[3,2,1,4,6,5,8,7]=>[7,8,5,6,4,1,2,3]=>1001100 [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[3,1,2,4,6,7,5,8]=>[3,2,1,4,7,5,6,8]=>[8,6,5,7,4,1,2,3]=>1001110 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,1,2,4,6,7,8,5]=>[3,2,1,4,8,5,6,7]=>[7,6,5,8,4,1,2,3]=>1001110 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,1,2,4,6,8,5,7]=>[3,2,1,4,8,7,5,6]=>[6,5,7,8,4,1,2,3]=>1001100 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,1,2,4,7,5,6,8]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>1001100 [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,1,2,4,7,5,8,6]=>[3,2,1,4,8,6,5,7]=>[7,5,6,8,4,1,2,3]=>1001100 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,1,2,4,7,8,5,6]=>[3,2,1,4,7,5,8,6]=>[6,8,5,7,4,1,2,3]=>1001100 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,1,2,4,8,5,6,7]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>1001000 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,2,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]=>1001011 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>1001010 [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,1,2,5,6,4,7,8]=>[3,2,1,6,4,5,7,8]=>[8,7,5,4,6,1,2,3]=>1001101 [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,1,2,5,6,7,4,8]=>[3,2,1,7,4,5,6,8]=>[8,6,5,4,7,1,2,3]=>1001110 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,1,2,5,6,7,8,4]=>[3,2,1,8,4,5,6,7]=>[7,6,5,4,8,1,2,3]=>1001110 [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,1,2,5,6,8,4,7]=>[3,2,1,8,7,4,5,6]=>[6,5,4,7,8,1,2,3]=>1001100 [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,7,4,6,8]=>[3,2,1,7,6,4,5,8]=>[8,5,4,6,7,1,2,3]=>1001100 [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,1,2,5,7,4,8,6]=>[3,2,1,8,6,4,5,7]=>[7,5,4,6,8,1,2,3]=>1001100 [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,1,2,5,8,4,6,7]=>[3,2,1,8,7,6,4,5]=>[5,4,6,7,8,1,2,3]=>1001000 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,2,6,4,5,7,8]=>[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>1001001 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,1,2,6,4,5,8,7]=>[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]=>1001000 [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,2,6,4,7,5,8]=>[3,2,1,7,5,4,6,8]=>[8,6,4,5,7,1,2,3]=>1001010 [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,1,2,6,4,7,8,5]=>[3,2,1,8,5,4,6,7]=>[7,6,4,5,8,1,2,3]=>1001010 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,1,2,6,4,8,5,7]=>[3,2,1,8,7,5,4,6]=>[6,4,5,7,8,1,2,3]=>1001000 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,1,2,6,7,4,8,5]=>[3,2,1,6,4,8,5,7]=>[7,5,8,4,6,1,2,3]=>1001100 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,1,2,6,7,8,4,5]=>[3,2,1,8,5,7,4,6]=>[6,4,7,5,8,1,2,3]=>1001100 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,2,7,4,5,6,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>1001000 [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,1,2,7,4,5,8,6]=>[3,2,1,8,6,5,4,7]=>[7,4,5,6,8,1,2,3]=>1001000 [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,2,7,4,8,5,6]=>[3,2,1,7,5,4,8,6]=>[6,8,4,5,7,1,2,3]=>1001000 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,1,2,7,8,4,5,6]=>[3,2,1,8,6,4,7,5]=>[5,7,4,6,8,1,2,3]=>1001000 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,2,8,4,5,6,7]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>1000000 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]=>1010111 [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,1,4,2,5,6,8,7]=>[4,2,1,3,5,6,8,7]=>[7,8,6,5,3,1,2,4]=>1010110 [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,4,2,5,7,6,8]=>[4,2,1,3,5,7,6,8]=>[8,6,7,5,3,1,2,4]=>1010110 [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,1,4,2,5,7,8,6]=>[4,2,1,3,5,8,6,7]=>[7,6,8,5,3,1,2,4]=>1010110 [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,5,7,8]=>[4,2,1,3,6,5,7,8]=>[8,7,5,6,3,1,2,4]=>1010101 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,4,2,6,5,8,7]=>[4,2,1,3,6,5,8,7]=>[7,8,5,6,3,1,2,4]=>1010100 [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,4,2,6,7,5,8]=>[4,2,1,3,7,5,6,8]=>[8,6,5,7,3,1,2,4]=>1010110 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,1,4,2,6,7,8,5]=>[4,2,1,3,8,5,6,7]=>[7,6,5,8,3,1,2,4]=>1010110 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,4,2,6,8,5,7]=>[4,2,1,3,8,7,5,6]=>[6,5,7,8,3,1,2,4]=>1010100 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,4,2,7,5,8,6]=>[4,2,1,3,8,6,5,7]=>[7,5,6,8,3,1,2,4]=>1010100 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,4,2,7,8,5,6]=>[4,2,1,3,7,5,8,6]=>[6,8,5,7,3,1,2,4]=>1010100 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4,2,8,5,6,7]=>[4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4]=>1010000 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,5,2,6,7,8]=>[5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]=>1011011 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,1,4,5,6,2,7,8]=>[6,2,1,3,4,5,7,8]=>[8,7,5,4,3,1,2,6]=>1011101 [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,1,4,5,6,2,8,7]=>[6,2,1,3,4,5,8,7]=>[7,8,5,4,3,1,2,6]=>1011100 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,6,7,2,8]=>[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]=>1011110 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,2]=>[8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8]=>1011110 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,1,4,5,6,8,2,7]=>[8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8]=>1011100 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,1,4,5,7,2,8,6]=>[8,6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6,8]=>1011100 [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,1,4,5,7,8,2,6]=>[7,2,1,3,4,5,8,6]=>[6,8,5,4,3,1,2,7]=>1011100 [1,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,4,5,8,2,6,7]=>[8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8]=>1011000 [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,1,4,6,2,5,8,7]=>[6,5,2,1,3,4,8,7]=>[7,8,4,3,1,2,5,6]=>1011000 [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,4,6,2,7,5,8]=>[7,5,2,1,3,4,6,8]=>[8,6,4,3,1,2,5,7]=>1011010 [1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0]=>[3,1,4,6,2,7,8,5]=>[8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]=>1011010 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,4,6,2,8,5,7]=>[8,7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7,8]=>1011000 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,1,4,6,7,8,2,5]=>[8,5,7,2,1,3,4,6]=>[6,4,3,1,2,7,5,8]=>1011100 [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,1,4,6,8,2,5,7]=>[6,2,1,3,4,8,7,5]=>[5,7,8,4,3,1,2,6]=>1011000 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,4,7,2,5,8,6]=>[8,6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6,8]=>1011000 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,4,8,2,5,6,7]=>[8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8]=>1010000 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,5,2,4,6,7,8]=>[5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]=>1010011 [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,5,2,4,6,8,7]=>[5,4,2,1,3,6,8,7]=>[7,8,6,3,1,2,4,5]=>1010010 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,5,2,4,7,6,8]=>[5,4,2,1,3,7,6,8]=>[8,6,7,3,1,2,4,5]=>1010010 [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,5,2,4,7,8,6]=>[5,4,2,1,3,8,6,7]=>[7,6,8,3,1,2,4,5]=>1010010 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,5,2,4,8,6,7]=>[5,4,2,1,3,8,7,6]=>[6,7,8,3,1,2,4,5]=>1010000 [1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,5,2,6,4,7,8]=>[6,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,6]=>1010101 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,5,2,6,4,8,7]=>[6,4,2,1,3,5,8,7]=>[7,8,5,3,1,2,4,6]=>1010100 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,7,4,6,8]=>[7,6,4,2,1,3,5,8]=>[8,5,3,1,2,4,6,7]=>1010100 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,7,4,8,6]=>[8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]=>1010100 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,5,2,8,4,6,7]=>[8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8]=>1010000 [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,1,5,6,2,4,8,7]=>[5,2,1,3,6,4,8,7]=>[7,8,4,6,3,1,2,5]=>1011000 [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,1,5,6,2,7,4,8]=>[5,2,1,3,7,4,6,8]=>[8,6,4,7,3,1,2,5]=>1011010 [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,1,5,6,2,7,8,4]=>[5,2,1,3,8,4,6,7]=>[7,6,4,8,3,1,2,5]=>1011010 [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,1,5,6,2,8,4,7]=>[5,2,1,3,8,7,4,6]=>[6,4,7,8,3,1,2,5]=>1011000 [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,1,5,6,7,2,8,4]=>[8,4,6,2,1,3,5,7]=>[7,5,3,1,2,6,4,8]=>1011100 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,1,5,6,7,8,2,4]=>[7,2,1,3,5,8,4,6]=>[6,4,8,5,3,1,2,7]=>1011100 [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,1,5,7,2,4,8,6]=>[5,2,1,3,8,6,4,7]=>[7,4,6,8,3,1,2,5]=>1011000 [1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,1,5,7,8,2,4,6]=>[7,4,8,6,2,1,3,5]=>[5,3,1,2,6,8,4,7]=>1011000 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,1,6,2,4,5,8,7]=>[6,5,4,2,1,3,8,7]=>[7,8,3,1,2,4,5,6]=>1010000 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,1,6,2,4,8,5,7]=>[8,7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7,8]=>1010000 [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,6,2,7,4,5,8]=>[6,4,2,1,3,7,5,8]=>[8,5,7,3,1,2,4,6]=>1010100 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,6,2,7,4,8,5]=>[6,4,2,1,3,8,5,7]=>[7,5,8,3,1,2,4,6]=>1010100 [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,1,6,2,7,8,4,5]=>[8,5,7,4,2,1,3,6]=>[6,3,1,2,4,7,5,8]=>1010100 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,1,6,2,8,4,5,7]=>[6,4,2,1,3,8,7,5]=>[5,7,8,3,1,2,4,6]=>1010000 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,1,6,7,2,4,5,8]=>[7,5,2,1,3,6,4,8]=>[8,4,6,3,1,2,5,7]=>1011000 [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,1,6,7,2,8,4,5]=>[7,4,8,5,2,1,3,6]=>[6,3,1,2,5,8,4,7]=>1011000 [1,1,1,0,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,1,6,7,8,2,4,5]=>[6,2,1,3,7,4,8,5]=>[5,8,4,7,3,1,2,6]=>1011000 [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,1,6,8,2,4,5,7]=>[8,7,5,2,1,3,6,4]=>[4,6,3,1,2,5,7,8]=>1010000 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,7,2,4,5,6,8]=>[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]=>1010000 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,1,7,2,4,5,8,6]=>[8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]=>1010000 [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,1,7,2,4,8,5,6]=>[7,5,4,2,1,3,8,6]=>[6,8,3,1,2,4,5,7]=>1010000 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,7,2,8,4,5,6]=>[8,6,4,2,1,3,7,5]=>[5,7,3,1,2,4,6,8]=>1010000 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,8,2,4,5,6,7]=>[8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]=>1000000 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>[8,7,6,5,2,4,1,3]=>1100111 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,4,1,2,5,7,8,6]=>[3,1,4,2,5,8,6,7]=>[7,6,8,5,2,4,1,3]=>1100110 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,4,1,2,5,8,6,7]=>[3,1,4,2,5,8,7,6]=>[6,7,8,5,2,4,1,3]=>1100100 [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,4,1,2,6,5,7,8]=>[3,1,4,2,6,5,7,8]=>[8,7,5,6,2,4,1,3]=>1100101 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,5,8,7]=>[3,1,4,2,6,5,8,7]=>[7,8,5,6,2,4,1,3]=>1100100 [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,4,1,2,6,7,5,8]=>[3,1,4,2,7,5,6,8]=>[8,6,5,7,2,4,1,3]=>1100110 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,4,1,2,6,7,8,5]=>[3,1,4,2,8,5,6,7]=>[7,6,5,8,2,4,1,3]=>1100110 [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,4,1,2,6,8,5,7]=>[3,1,4,2,8,7,5,6]=>[6,5,7,8,2,4,1,3]=>1100100 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,4,1,2,7,5,8,6]=>[3,1,4,2,8,6,5,7]=>[7,5,6,8,2,4,1,3]=>1100100 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,1,2,7,8,5,6]=>[3,1,4,2,7,5,8,6]=>[6,8,5,7,2,4,1,3]=>1100100 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4,1,2,8,5,6,7]=>[3,1,4,2,8,7,6,5]=>[5,6,7,8,2,4,1,3]=>1100000 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,4,1,5,2,6,7,8]=>[3,1,5,2,4,6,7,8]=>[8,7,6,4,2,5,1,3]=>1101011 [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,4,1,5,2,6,8,7]=>[3,1,5,2,4,6,8,7]=>[7,8,6,4,2,5,1,3]=>1101010 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,4,1,5,2,7,6,8]=>[3,1,5,2,4,7,6,8]=>[8,6,7,4,2,5,1,3]=>1101010 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,4,1,5,2,8,6,7]=>[3,1,5,2,4,8,7,6]=>[6,7,8,4,2,5,1,3]=>1101000 [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,4,1,5,6,2,7,8]=>[3,1,6,2,4,5,7,8]=>[8,7,5,4,2,6,1,3]=>1101101 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,4,1,5,6,2,8,7]=>[3,1,6,2,4,5,8,7]=>[7,8,5,4,2,6,1,3]=>1101100 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,4,1,5,6,7,2,8]=>[3,1,7,2,4,5,6,8]=>[8,6,5,4,2,7,1,3]=>1101110 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,4,1,5,6,7,8,2]=>[3,1,8,2,4,5,6,7]=>[7,6,5,4,2,8,1,3]=>1101110 [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,4,1,5,6,8,2,7]=>[3,1,8,7,2,4,5,6]=>[6,5,4,2,7,8,1,3]=>1101100 [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,4,1,5,7,2,6,8]=>[3,1,7,6,2,4,5,8]=>[8,5,4,2,6,7,1,3]=>1101100 [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,4,1,5,7,2,8,6]=>[3,1,8,6,2,4,5,7]=>[7,5,4,2,6,8,1,3]=>1101100 [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,4,1,5,7,8,2,6]=>[3,1,7,2,4,5,8,6]=>[6,8,5,4,2,7,1,3]=>1101100 [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,4,1,5,8,2,6,7]=>[3,1,8,7,6,2,4,5]=>[5,4,2,6,7,8,1,3]=>1101000 [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,4,1,6,2,5,7,8]=>[3,1,6,5,2,4,7,8]=>[8,7,4,2,5,6,1,3]=>1101001 [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,4,1,6,2,5,8,7]=>[3,1,6,5,2,4,8,7]=>[7,8,4,2,5,6,1,3]=>1101000 [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,4,1,6,2,7,5,8]=>[3,1,7,5,2,4,6,8]=>[8,6,4,2,5,7,1,3]=>1101010 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,4,1,6,7,2,5,8]=>[3,1,6,2,4,7,5,8]=>[8,5,7,4,2,6,1,3]=>1101100 [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,4,1,6,7,2,8,5]=>[3,1,6,2,4,8,5,7]=>[7,5,8,4,2,6,1,3]=>1101100 [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,4,1,6,7,8,2,5]=>[3,1,8,5,7,2,4,6]=>[6,4,2,7,5,8,1,3]=>1101100 [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,4,1,6,8,2,5,7]=>[3,1,6,2,4,8,7,5]=>[5,7,8,4,2,6,1,3]=>1101000 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,4,1,7,8,2,5,6]=>[3,1,8,6,2,4,7,5]=>[5,7,4,2,6,8,1,3]=>1101000 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,1,8,2,5,6,7]=>[3,1,8,7,6,5,2,4]=>[4,2,5,6,7,8,1,3]=>1100000 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,5,1,2,6,7,8]=>[5,2,4,1,3,6,7,8]=>[8,7,6,3,1,4,2,5]=>1110011 [1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,5,1,2,6,8,7]=>[5,2,4,1,3,6,8,7]=>[7,8,6,3,1,4,2,5]=>1110010 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,5,1,2,8,6,7]=>[5,2,4,1,3,8,7,6]=>[6,7,8,3,1,4,2,5]=>1110000 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,5,1,6,2,7,8]=>[6,2,4,1,3,5,7,8]=>[8,7,5,3,1,4,2,6]=>1110101 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,5,1,6,2,8,7]=>[6,2,4,1,3,5,8,7]=>[7,8,5,3,1,4,2,6]=>1110100 [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,5,1,6,8,2,7]=>[8,7,2,4,1,3,5,6]=>[6,5,3,1,4,2,7,8]=>1110100 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,5,1,7,2,8,6]=>[8,6,2,4,1,3,5,7]=>[7,5,3,1,4,2,6,8]=>1110100 [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,5,1,7,8,2,6]=>[7,2,4,1,3,5,8,6]=>[6,8,5,3,1,4,2,7]=>1110100 [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,1,8,2,6,7]=>[8,7,6,2,4,1,3,5]=>[5,3,1,4,2,6,7,8]=>1110000 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,6,1,2,7,8]=>[5,1,3,6,2,4,7,8]=>[8,7,4,2,6,3,1,5]=>1111001 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,6,1,2,8,7]=>[5,1,3,6,2,4,8,7]=>[7,8,4,2,6,3,1,5]=>1111000 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,6,1,7,2,8]=>[5,1,3,7,2,4,6,8]=>[8,6,4,2,7,3,1,5]=>1111010 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,6,1,7,8,2]=>[5,1,3,8,2,4,6,7]=>[7,6,4,2,8,3,1,5]=>1111010 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,7,1,2,8]=>[7,2,4,6,1,3,5,8]=>[8,5,3,1,6,4,2,7]=>1111100 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,1,8,2]=>[8,2,4,6,1,3,5,7]=>[7,5,3,1,6,4,2,8]=>1111100 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,1,2]=>[7,1,3,5,8,2,4,6]=>[6,4,2,8,5,3,1,7]=>1111100 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,6,8,1,2,7]=>[8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8]=>1111000 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,5,7,1,2,6,8]=>[5,1,3,7,6,2,4,8]=>[8,4,2,6,7,3,1,5]=>1111000 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,5,7,1,8,2,6]=>[5,1,3,7,2,4,8,6]=>[6,8,4,2,7,3,1,5]=>1111000 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,8,1,2,6,7]=>[5,1,3,8,7,6,2,4]=>[4,2,6,7,8,3,1,5]=>1110000 [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,4,6,1,2,5,7,8]=>[6,5,2,4,1,3,7,8]=>[8,7,3,1,4,2,5,6]=>1110001 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,4,6,1,2,5,8,7]=>[6,5,2,4,1,3,8,7]=>[7,8,3,1,4,2,5,6]=>1110000 [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,4,6,1,2,7,5,8]=>[7,5,2,4,1,3,6,8]=>[8,6,3,1,4,2,5,7]=>1110010 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,4,6,1,2,7,8,5]=>[8,5,2,4,1,3,6,7]=>[7,6,3,1,4,2,5,8]=>1110010 [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,4,6,1,7,2,5,8]=>[6,2,4,1,3,7,5,8]=>[8,5,7,3,1,4,2,6]=>1110100 [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,4,6,1,7,2,8,5]=>[6,2,4,1,3,8,5,7]=>[7,5,8,3,1,4,2,6]=>1110100 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,4,6,1,7,8,2,5]=>[8,5,7,2,4,1,3,6]=>[6,3,1,4,2,7,5,8]=>1110100 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,4,6,1,8,2,5,7]=>[6,2,4,1,3,8,7,5]=>[5,7,8,3,1,4,2,6]=>1110000 [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,4,6,7,1,2,5,8]=>[7,5,1,3,6,2,4,8]=>[8,4,2,6,3,1,5,7]=>1111000 [1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,4,6,7,1,8,2,5]=>[7,2,4,8,5,1,3,6]=>[6,3,1,5,8,4,2,7]=>1111000 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,4,6,7,8,1,2,5]=>[6,1,3,7,2,4,8,5]=>[5,8,4,2,7,3,1,6]=>1111000 [1,1,1,0,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,6,8,1,2,5,7]=>[8,7,5,1,3,6,2,4]=>[4,2,6,3,1,5,7,8]=>1110000 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,4,7,1,2,8,5,6]=>[7,5,2,4,1,3,8,6]=>[6,8,3,1,4,2,5,7]=>1110000 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,4,7,1,8,2,5,6]=>[8,6,2,4,1,3,7,5]=>[5,7,3,1,4,2,6,8]=>1110000 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,4,7,8,1,2,5,6]=>[7,5,1,3,8,6,2,4]=>[4,2,6,8,3,1,5,7]=>1110000 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,8,1,2,5,6,7]=>[8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8]=>1100000 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,5,1,2,4,6,7,8]=>[3,1,5,4,2,6,7,8]=>[8,7,6,2,4,5,1,3]=>1100011 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,5,1,2,4,7,6,8]=>[3,1,5,4,2,7,6,8]=>[8,6,7,2,4,5,1,3]=>1100010 [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,5,1,2,4,7,8,6]=>[3,1,5,4,2,8,6,7]=>[7,6,8,2,4,5,1,3]=>1100010 [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,5,1,2,4,8,6,7]=>[3,1,5,4,2,8,7,6]=>[6,7,8,2,4,5,1,3]=>1100000 [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,5,1,2,6,4,7,8]=>[3,1,6,4,2,5,7,8]=>[8,7,5,2,4,6,1,3]=>1100101 [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,5,1,2,6,7,4,8]=>[3,1,7,4,2,5,6,8]=>[8,6,5,2,4,7,1,3]=>1100110 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,5,1,2,6,7,8,4]=>[3,1,8,4,2,5,6,7]=>[7,6,5,2,4,8,1,3]=>1100110 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,5,1,2,6,8,4,7]=>[3,1,8,7,4,2,5,6]=>[6,5,2,4,7,8,1,3]=>1100100 [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[3,5,1,6,2,4,7,8]=>[3,1,5,2,6,4,7,8]=>[8,7,4,6,2,5,1,3]=>1101001 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,5,1,6,2,4,8,7]=>[3,1,5,2,6,4,8,7]=>[7,8,4,6,2,5,1,3]=>1101000 [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,5,1,6,2,7,4,8]=>[3,1,5,2,7,4,6,8]=>[8,6,4,7,2,5,1,3]=>1101010 [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,5,1,6,2,7,8,4]=>[3,1,5,2,8,4,6,7]=>[7,6,4,8,2,5,1,3]=>1101010 [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,5,1,6,2,8,4,7]=>[3,1,5,2,8,7,4,6]=>[6,4,7,8,2,5,1,3]=>1101000 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,5,1,6,7,8,2,4]=>[3,1,7,2,5,8,4,6]=>[6,4,8,5,2,7,1,3]=>1101100 [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,5,1,7,2,4,6,8]=>[3,1,5,2,7,6,4,8]=>[8,4,6,7,2,5,1,3]=>1101000 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,5,1,7,2,8,4,6]=>[3,1,5,2,7,4,8,6]=>[6,8,4,7,2,5,1,3]=>1101000 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,5,6,1,2,4,8,7]=>[5,2,6,4,1,3,8,7]=>[7,8,3,1,4,6,2,5]=>1110000 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,5,6,1,2,7,4,8]=>[5,2,7,4,1,3,6,8]=>[8,6,3,1,4,7,2,5]=>1110010 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,5,6,1,2,7,8,4]=>[5,2,8,4,1,3,6,7]=>[7,6,3,1,4,8,2,5]=>1110010 [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,5,6,1,7,2,8,4]=>[8,4,1,3,6,2,5,7]=>[7,5,2,6,3,1,4,8]=>1110100 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,5,6,1,7,8,2,4]=>[7,2,5,8,4,1,3,6]=>[6,3,1,4,8,5,2,7]=>1110100 [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,5,6,7,1,2,4,8]=>[6,2,5,1,3,7,4,8]=>[8,4,7,3,1,5,2,6]=>1111000 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,5,6,7,1,2,8,4]=>[6,2,5,1,3,8,4,7]=>[7,4,8,3,1,5,2,6]=>1111000 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,8,1,2,4]=>[6,1,3,8,4,7,2,5]=>[5,2,7,4,8,3,1,6]=>1111000 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,5,6,8,1,2,4,7]=>[6,2,5,1,3,8,7,4]=>[4,7,8,3,1,5,2,6]=>1110000 [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,5,7,1,2,4,6,8]=>[5,2,7,6,4,1,3,8]=>[8,3,1,4,6,7,2,5]=>1110000 [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,5,7,1,2,4,8,6]=>[5,2,8,6,4,1,3,7]=>[7,3,1,4,6,8,2,5]=>1110000 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,5,7,1,2,8,4,6]=>[5,2,7,4,1,3,8,6]=>[6,8,3,1,4,7,2,5]=>1110000 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,5,8,1,2,4,6,7]=>[5,2,8,7,6,4,1,3]=>[3,1,4,6,7,8,2,5]=>1100000 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,6,1,2,4,5,8,7]=>[3,1,6,5,4,2,8,7]=>[7,8,2,4,5,6,1,3]=>1100000 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,6,1,2,4,7,8,5]=>[3,1,8,5,4,2,6,7]=>[7,6,2,4,5,8,1,3]=>1100010 [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,6,1,2,4,8,5,7]=>[3,1,8,7,5,4,2,6]=>[6,2,4,5,7,8,1,3]=>1100000 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,6,1,2,7,4,8,5]=>[3,1,6,4,2,8,5,7]=>[7,5,8,2,4,6,1,3]=>1100100 [1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,6,1,2,7,8,4,5]=>[3,1,8,5,7,4,2,6]=>[6,2,4,7,5,8,1,3]=>1100100 [1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0]=>[3,6,1,2,8,4,5,7]=>[3,1,6,4,2,8,7,5]=>[5,7,8,2,4,6,1,3]=>1100000 [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[3,6,1,7,2,4,5,8]=>[3,1,7,5,2,6,4,8]=>[8,4,6,2,5,7,1,3]=>1101000 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,6,1,7,8,2,4,5]=>[3,1,6,2,7,4,8,5]=>[5,8,4,7,2,6,1,3]=>1101000 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,6,1,8,2,4,5,7]=>[3,1,8,7,5,2,6,4]=>[4,6,2,5,7,8,1,3]=>1100000 [1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0]=>[3,6,7,1,2,4,5,8]=>[7,5,2,6,4,1,3,8]=>[8,3,1,4,6,2,5,7]=>1110000 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,6,7,1,2,4,8,5]=>[8,5,2,6,4,1,3,7]=>[7,3,1,4,6,2,5,8]=>1110000 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,6,7,1,2,8,4,5]=>[7,4,1,3,8,5,2,6]=>[6,2,5,8,3,1,4,7]=>1110000 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,7,1,2,4,5,8,6]=>[3,1,8,6,5,4,2,7]=>[7,2,4,5,6,8,1,3]=>1100000 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,7,1,2,4,8,5,6]=>[3,1,7,5,4,2,8,6]=>[6,8,2,4,5,7,1,3]=>1100000 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,7,1,2,8,4,5,6]=>[3,1,8,6,4,2,7,5]=>[5,7,2,4,6,8,1,3]=>1100000 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,7,8,1,2,4,5,6]=>[7,5,2,8,6,4,1,3]=>[3,1,4,6,8,2,5,7]=>1100000 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,8,1,2,4,5,6,7]=>[3,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,3]=>1000000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>1000111 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,2,3,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>1000110 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,3,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>1000110 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,1,2,3,5,7,8,6]=>[4,3,2,1,5,8,6,7]=>[7,6,8,5,1,2,3,4]=>1000110 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,1,2,3,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>1000100 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,1,2,3,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>1000101 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,3,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>1000100 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,1,2,3,6,7,5,8]=>[4,3,2,1,7,5,6,8]=>[8,6,5,7,1,2,3,4]=>1000110 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,1,2,3,6,7,8,5]=>[4,3,2,1,8,5,6,7]=>[7,6,5,8,1,2,3,4]=>1000110 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,1,2,3,6,8,5,7]=>[4,3,2,1,8,7,5,6]=>[6,5,7,8,1,2,3,4]=>1000100 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,1,2,3,7,5,6,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>1000100 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,1,2,3,7,5,8,6]=>[4,3,2,1,8,6,5,7]=>[7,5,6,8,1,2,3,4]=>1000100 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,1,2,3,7,8,5,6]=>[4,3,2,1,7,5,8,6]=>[6,8,5,7,1,2,3,4]=>1000100 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,1,2,3,8,5,6,7]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>1000000 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,2,5,3,6,7,8]=>[5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]=>1001011 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,2,5,3,7,8,6]=>[5,3,2,1,4,8,6,7]=>[7,6,8,4,1,2,3,5]=>1001010 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,1,2,5,3,8,6,7]=>[5,3,2,1,4,8,7,6]=>[6,7,8,4,1,2,3,5]=>1001000 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,1,2,5,6,3,7,8]=>[6,3,2,1,4,5,7,8]=>[8,7,5,4,1,2,3,6]=>1001101 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,1,2,5,6,3,8,7]=>[6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]=>1001100 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,2,5,6,7,3,8]=>[7,3,2,1,4,5,6,8]=>[8,6,5,4,1,2,3,7]=>1001110 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,2,5,6,7,8,3]=>[8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]=>1001110 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,2,5,6,8,3,7]=>[8,7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7,8]=>1001100 [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6,8]=>[7,6,3,2,1,4,5,8]=>[8,5,4,1,2,3,6,7]=>1001100 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,1,2,5,8,3,6,7]=>[8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8]=>1001000 [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,2,6,3,5,7,8]=>[6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]=>1001001 [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,1,2,6,3,8,5,7]=>[8,7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7,8]=>1001000 [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,1,2,6,7,3,5,8]=>[6,3,2,1,4,7,5,8]=>[8,5,7,4,1,2,3,6]=>1001100 [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,1,2,6,7,3,8,5]=>[6,3,2,1,4,8,5,7]=>[7,5,8,4,1,2,3,6]=>1001100 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,1,2,7,3,5,6,8]=>[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]=>1001000 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,1,2,7,3,5,8,6]=>[8,6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6,8]=>1001000 [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[4,1,2,7,3,8,5,6]=>[7,5,3,2,1,4,8,6]=>[6,8,4,1,2,3,5,7]=>1001000 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,1,2,7,8,3,5,6]=>[8,6,3,2,1,4,7,5]=>[5,7,4,1,2,3,6,8]=>1001000 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,1,2,8,3,5,6,7]=>[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]=>1000000 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,5,2,3,6,7,8]=>[4,2,1,5,3,6,7,8]=>[8,7,6,3,5,1,2,4]=>1010011 [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[4,1,5,2,3,6,8,7]=>[4,2,1,5,3,6,8,7]=>[7,8,6,3,5,1,2,4]=>1010010 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,5,2,3,7,6,8]=>[4,2,1,5,3,7,6,8]=>[8,6,7,3,5,1,2,4]=>1010010 [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[4,1,5,2,3,7,8,6]=>[4,2,1,5,3,8,6,7]=>[7,6,8,3,5,1,2,4]=>1010010 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,5,2,3,8,6,7]=>[4,2,1,5,3,8,7,6]=>[6,7,8,3,5,1,2,4]=>1010000 [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,6,3,7,8]=>[4,2,1,6,3,5,7,8]=>[8,7,5,3,6,1,2,4]=>1010101 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,5,2,6,3,8,7]=>[4,2,1,6,3,5,8,7]=>[7,8,5,3,6,1,2,4]=>1010100 [1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,5,2,6,7,3,8]=>[4,2,1,7,3,5,6,8]=>[8,6,5,3,7,1,2,4]=>1010110 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,5,2,6,7,8,3]=>[4,2,1,8,3,5,6,7]=>[7,6,5,3,8,1,2,4]=>1010110 [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,5,2,7,3,6,8]=>[4,2,1,7,6,3,5,8]=>[8,5,3,6,7,1,2,4]=>1010100 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,5,2,7,3,8,6]=>[4,2,1,8,6,3,5,7]=>[7,5,3,6,8,1,2,4]=>1010100 [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,5,2,7,8,3,6]=>[4,2,1,7,3,5,8,6]=>[6,8,5,3,7,1,2,4]=>1010100 [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[4,1,5,6,2,3,7,8]=>[6,3,5,2,1,4,7,8]=>[8,7,4,1,2,5,3,6]=>1011001 [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,1,5,6,2,3,8,7]=>[6,3,5,2,1,4,8,7]=>[7,8,4,1,2,5,3,6]=>1011000 [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[4,1,5,6,2,7,3,8]=>[7,3,5,2,1,4,6,8]=>[8,6,4,1,2,5,3,7]=>1011010 [1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0]=>[4,1,5,6,2,8,3,7]=>[8,7,3,5,2,1,4,6]=>[6,4,1,2,5,3,7,8]=>1011000 [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[4,1,5,6,7,2,3,8]=>[6,2,1,4,7,3,5,8]=>[8,5,3,7,4,1,2,6]=>1011100 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,1,5,6,7,2,8,3]=>[6,2,1,4,8,3,5,7]=>[7,5,3,8,4,1,2,6]=>1011100 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[4,1,5,6,8,2,3,7]=>[6,2,1,4,8,7,3,5]=>[5,3,7,8,4,1,2,6]=>1011000 [1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0]=>[4,1,5,7,2,3,6,8]=>[7,6,3,5,2,1,4,8]=>[8,4,1,2,5,3,6,7]=>1011000 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,1,5,7,2,8,3,6]=>[7,3,5,2,1,4,8,6]=>[6,8,4,1,2,5,3,7]=>1011000 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[4,1,5,7,8,2,3,6]=>[8,6,2,1,4,7,3,5]=>[5,3,7,4,1,2,6,8]=>1011000 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,1,5,8,2,3,6,7]=>[8,7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7,8]=>1010000 [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,6,2,3,5,7,8]=>[4,2,1,6,5,3,7,8]=>[8,7,3,5,6,1,2,4]=>1010001 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[4,1,6,2,3,5,8,7]=>[4,2,1,6,5,3,8,7]=>[7,8,3,5,6,1,2,4]=>1010000 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,6,2,3,7,5,8]=>[4,2,1,7,5,3,6,8]=>[8,6,3,5,7,1,2,4]=>1010010 [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,1,6,2,3,7,8,5]=>[4,2,1,8,5,3,6,7]=>[7,6,3,5,8,1,2,4]=>1010010 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,1,6,2,7,3,8,5]=>[4,2,1,6,3,8,5,7]=>[7,5,8,3,6,1,2,4]=>1010100 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,1,6,2,7,8,3,5]=>[4,2,1,8,5,7,3,6]=>[6,3,7,5,8,1,2,4]=>1010100 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,8,3,5,7]=>[4,2,1,6,3,8,7,5]=>[5,7,8,3,6,1,2,4]=>1010000 [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[4,1,6,7,2,3,5,8]=>[6,3,7,5,2,1,4,8]=>[8,4,1,2,5,7,3,6]=>1011000 [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[4,1,6,7,2,3,8,5]=>[6,3,8,5,2,1,4,7]=>[7,4,1,2,5,8,3,6]=>1011000 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,1,6,7,2,8,3,5]=>[8,5,2,1,4,7,3,6]=>[6,3,7,4,1,2,5,8]=>1011000 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,1,6,8,2,3,5,7]=>[6,3,8,7,5,2,1,4]=>[4,1,2,5,7,8,3,6]=>1010000 [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,7,2,3,5,6,8]=>[4,2,1,7,6,5,3,8]=>[8,3,5,6,7,1,2,4]=>1010000 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,1,7,2,3,5,8,6]=>[4,2,1,8,6,5,3,7]=>[7,3,5,6,8,1,2,4]=>1010000 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,7,2,3,8,5,6]=>[4,2,1,7,5,3,8,6]=>[6,8,3,5,7,1,2,4]=>1010000 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,1,7,8,2,3,5,6]=>[8,6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6,8]=>1010000 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[4,1,8,2,3,5,6,7]=>[4,2,1,8,7,6,5,3]=>[3,5,6,7,8,1,2,4]=>1000000 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,5,1,2,3,6,7,8]=>[5,3,1,4,2,6,7,8]=>[8,7,6,2,4,1,3,5]=>1100011 [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[4,5,1,2,3,6,8,7]=>[5,3,1,4,2,6,8,7]=>[7,8,6,2,4,1,3,5]=>1100010 [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,5,1,2,3,7,6,8]=>[5,3,1,4,2,7,6,8]=>[8,6,7,2,4,1,3,5]=>1100010 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,5,1,2,3,8,6,7]=>[5,3,1,4,2,8,7,6]=>[6,7,8,2,4,1,3,5]=>1100000 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,5,1,2,6,3,8,7]=>[6,3,1,4,2,5,8,7]=>[7,8,5,2,4,1,3,6]=>1100100 [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[4,5,1,2,6,7,3,8]=>[7,3,1,4,2,5,6,8]=>[8,6,5,2,4,1,3,7]=>1100110 [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[4,5,1,2,6,8,3,7]=>[8,7,3,1,4,2,5,6]=>[6,5,2,4,1,3,7,8]=>1100100 [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,1,2,8,3,6,7]=>[8,7,6,3,1,4,2,5]=>[5,2,4,1,3,6,7,8]=>1100000 [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,5,1,6,2,3,8,7]=>[5,2,6,3,1,4,8,7]=>[7,8,4,1,3,6,2,5]=>1101000 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,5,1,6,2,7,3,8]=>[5,2,7,3,1,4,6,8]=>[8,6,4,1,3,7,2,5]=>1101010 [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[4,5,1,6,2,7,8,3]=>[5,2,8,3,1,4,6,7]=>[7,6,4,1,3,8,2,5]=>1101010 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,5,1,6,2,8,3,7]=>[5,2,8,7,3,1,4,6]=>[6,4,1,3,7,8,2,5]=>1101000 [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,5,1,6,7,2,8,3]=>[8,3,1,4,6,2,5,7]=>[7,5,2,6,4,1,3,8]=>1101100 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,1,6,8,2,3,7]=>[8,7,3,1,4,6,2,5]=>[5,2,6,4,1,3,7,8]=>1101000 [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,5,1,7,2,3,6,8]=>[5,2,7,6,3,1,4,8]=>[8,4,1,3,6,7,2,5]=>1101000 [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[4,5,1,7,2,3,8,6]=>[5,2,8,6,3,1,4,7]=>[7,4,1,3,6,8,2,5]=>1101000 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,5,1,7,2,8,3,6]=>[5,2,7,3,1,4,8,6]=>[6,8,4,1,3,7,2,5]=>1101000 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,5,1,7,8,2,3,6]=>[7,3,1,4,8,6,2,5]=>[5,2,6,8,4,1,3,7]=>1101000 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,1,8,2,3,6,7]=>[5,2,8,7,6,3,1,4]=>[4,1,3,6,7,8,2,5]=>1100000 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,6,1,2,3,7,8]=>[4,1,5,2,6,3,7,8]=>[8,7,3,6,2,5,1,4]=>1110001 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,1,2,3,8,7]=>[4,1,5,2,6,3,8,7]=>[7,8,3,6,2,5,1,4]=>1110000 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,6,1,2,7,3,8]=>[4,1,5,2,7,3,6,8]=>[8,6,3,7,2,5,1,4]=>1110010 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,6,1,2,7,8,3]=>[4,1,5,2,8,3,6,7]=>[7,6,3,8,2,5,1,4]=>1110010 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,6,1,2,8,3,7]=>[4,1,5,2,8,7,3,6]=>[6,3,7,8,2,5,1,4]=>1110000 [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,6,1,7,2,3,8]=>[4,1,7,3,6,2,5,8]=>[8,5,2,6,3,7,1,4]=>1110100 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,6,1,7,2,8,3]=>[4,1,8,3,6,2,5,7]=>[7,5,2,6,3,8,1,4]=>1110100 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,6,1,7,8,2,3]=>[4,1,7,2,5,8,3,6]=>[6,3,8,5,2,7,1,4]=>1110100 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,7,1,2,3,8]=>[7,3,6,2,5,1,4,8]=>[8,4,1,5,2,6,3,7]=>1111000 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,7,1,2,8,3]=>[8,3,6,2,5,1,4,7]=>[7,4,1,5,2,6,3,8]=>1111000 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[8,3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3,8]=>1111000 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,1,2,3,7]=>[8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8]=>1110000 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,5,7,1,2,8,3,6]=>[4,1,5,2,7,3,8,6]=>[6,8,3,7,2,5,1,4]=>1110000 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,5,7,1,8,2,3,6]=>[4,1,7,3,8,6,2,5]=>[5,2,6,8,3,7,1,4]=>1110000 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,5,7,8,1,2,3,6]=>[7,3,8,6,2,5,1,4]=>[4,1,5,2,6,8,3,7]=>1110000 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,5,8,1,2,3,6,7]=>[4,1,5,2,8,7,6,3]=>[3,6,7,8,2,5,1,4]=>1100000 [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[4,6,1,2,3,5,7,8]=>[6,5,3,1,4,2,7,8]=>[8,7,2,4,1,3,5,6]=>1100001 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[4,6,1,2,3,5,8,7]=>[6,5,3,1,4,2,8,7]=>[7,8,2,4,1,3,5,6]=>1100000 [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[4,6,1,2,3,7,5,8]=>[7,5,3,1,4,2,6,8]=>[8,6,2,4,1,3,5,7]=>1100010 [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,6,1,2,3,8,5,7]=>[8,7,5,3,1,4,2,6]=>[6,2,4,1,3,5,7,8]=>1100000 [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[4,6,1,2,7,3,5,8]=>[6,3,1,4,2,7,5,8]=>[8,5,7,2,4,1,3,6]=>1100100 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,6,1,2,7,3,8,5]=>[6,3,1,4,2,8,5,7]=>[7,5,8,2,4,1,3,6]=>1100100 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,6,1,2,7,8,3,5]=>[8,5,7,3,1,4,2,6]=>[6,2,4,1,3,7,5,8]=>1100100 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,6,1,2,8,3,5,7]=>[6,3,1,4,2,8,7,5]=>[5,7,8,2,4,1,3,6]=>1100000 [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,6,1,7,2,3,5,8]=>[7,5,2,6,3,1,4,8]=>[8,4,1,3,6,2,5,7]=>1101000 [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,6,1,7,2,3,8,5]=>[8,5,2,6,3,1,4,7]=>[7,4,1,3,6,2,5,8]=>1101000 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,6,1,7,2,8,3,5]=>[7,3,1,4,8,5,2,6]=>[6,2,5,8,4,1,3,7]=>1101000 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,6,1,7,8,2,3,5]=>[6,2,7,3,1,4,8,5]=>[5,8,4,1,3,7,2,6]=>1101000 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,6,7,1,2,8,3,5]=>[4,1,7,3,8,5,2,6]=>[6,2,5,8,3,7,1,4]=>1110000 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,1,8,2,3,5]=>[4,1,6,2,7,3,8,5]=>[5,8,3,7,2,6,1,4]=>1110000 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,6,8,1,2,3,5,7]=>[4,1,8,7,5,2,6,3]=>[3,6,2,5,7,8,1,4]=>1100000 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,7,1,2,3,5,6,8]=>[7,6,5,3,1,4,2,8]=>[8,2,4,1,3,5,6,7]=>1100000 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>[4,7,1,2,3,8,5,6]=>[7,5,3,1,4,2,8,6]=>[6,8,2,4,1,3,5,7]=>1100000 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,7,1,2,8,3,5,6]=>[8,6,3,1,4,2,7,5]=>[5,7,2,4,1,3,6,8]=>1100000 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,7,1,8,2,3,5,6]=>[7,5,2,8,6,3,1,4]=>[4,1,3,6,8,2,5,7]=>1100000 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[4,7,8,1,2,3,5,6]=>[4,1,7,5,2,8,6,3]=>[3,6,8,2,5,7,1,4]=>1100000 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,8,1,2,3,5,6,7]=>[8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8]=>1000000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,1,2,3,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>1000011 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,1,2,3,4,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>1000010 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,1,2,3,4,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>1000010 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,1,2,3,4,7,8,6]=>[5,4,3,2,1,8,6,7]=>[7,6,8,1,2,3,4,5]=>1000010 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,1,2,3,4,8,6,7]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>1000000 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,1,2,3,6,4,7,8]=>[6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]=>1000101 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,1,2,3,6,4,8,7]=>[6,4,3,2,1,5,8,7]=>[7,8,5,1,2,3,4,6]=>1000100 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,1,2,3,6,7,4,8]=>[7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]=>1000110 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,1,2,3,6,7,8,4]=>[8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]=>1000110 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,1,2,3,7,4,6,8]=>[7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7]=>1000100 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,1,2,3,7,4,8,6]=>[8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]=>1000100 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,1,2,3,7,8,4,6]=>[7,4,3,2,1,5,8,6]=>[6,8,5,1,2,3,4,7]=>1000100 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,1,2,3,8,4,6,7]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]=>1000000 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[5,1,2,6,3,4,7,8]=>[5,3,2,1,6,4,7,8]=>[8,7,4,6,1,2,3,5]=>1001001 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[5,1,2,6,3,4,8,7]=>[5,3,2,1,6,4,8,7]=>[7,8,4,6,1,2,3,5]=>1001000 [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,1,2,6,3,8,4,7]=>[5,3,2,1,8,7,4,6]=>[6,4,7,8,1,2,3,5]=>1001000 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,1,2,6,7,8,3,4]=>[7,3,2,1,5,8,4,6]=>[6,4,8,5,1,2,3,7]=>1001100 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[5,1,2,6,8,3,4,7]=>[8,7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7,8]=>1001000 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[5,1,2,7,3,4,6,8]=>[5,3,2,1,7,6,4,8]=>[8,4,6,7,1,2,3,5]=>1001000 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[5,1,2,7,3,4,8,6]=>[5,3,2,1,8,6,4,7]=>[7,4,6,8,1,2,3,5]=>1001000 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,1,2,7,8,3,4,6]=>[7,4,8,6,3,2,1,5]=>[5,1,2,3,6,8,4,7]=>1001000 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[5,1,2,8,3,4,6,7]=>[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]=>1000000 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[5,1,6,2,3,4,7,8]=>[6,4,2,1,5,3,7,8]=>[8,7,3,5,1,2,4,6]=>1010001 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,1,6,2,3,4,8,7]=>[6,4,2,1,5,3,8,7]=>[7,8,3,5,1,2,4,6]=>1010000 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,1,6,2,3,7,8,4]=>[8,4,2,1,5,3,6,7]=>[7,6,3,5,1,2,4,8]=>1010010 [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,1,6,2,3,8,4,7]=>[8,7,4,2,1,5,3,6]=>[6,3,5,1,2,4,7,8]=>1010000 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,0,0]=>[5,1,6,2,8,3,4,7]=>[6,3,8,7,4,2,1,5]=>[5,1,2,4,7,8,3,6]=>1010000 [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,1,6,7,2,3,4,8]=>[5,2,1,6,3,7,4,8]=>[8,4,7,3,6,1,2,5]=>1011000 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,1,6,7,2,8,3,4]=>[5,2,1,8,4,7,3,6]=>[6,3,7,4,8,1,2,5]=>1011000 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,1,6,7,8,2,3,4]=>[8,4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4,8]=>1011000 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[5,1,7,2,3,4,6,8]=>[7,6,4,2,1,5,3,8]=>[8,3,5,1,2,4,6,7]=>1010000 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,1,7,2,3,4,8,6]=>[8,6,4,2,1,5,3,7]=>[7,3,5,1,2,4,6,8]=>1010000 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,1,7,2,3,8,4,6]=>[7,4,2,1,5,3,8,6]=>[6,8,3,5,1,2,4,7]=>1010000 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[5,1,7,8,2,3,4,6]=>[5,2,1,8,6,3,7,4]=>[4,7,3,6,8,1,2,5]=>1010000 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,1,8,2,3,4,6,7]=>[8,7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7,8]=>1000000 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[5,6,1,2,3,4,7,8]=>[5,3,1,6,4,2,7,8]=>[8,7,2,4,6,1,3,5]=>1100001 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4,8,7]=>[5,3,1,6,4,2,8,7]=>[7,8,2,4,6,1,3,5]=>1100000 [1,1,1,1,1,0,1,0,0,0,0,1,0,0,1,0]=>[5,6,1,2,3,7,4,8]=>[5,3,1,7,4,2,6,8]=>[8,6,2,4,7,1,3,5]=>1100010 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[5,6,1,2,3,7,8,4]=>[5,3,1,8,4,2,6,7]=>[7,6,2,4,8,1,3,5]=>1100010 [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[5,6,1,2,3,8,4,7]=>[5,3,1,8,7,4,2,6]=>[6,2,4,7,8,1,3,5]=>1100000 [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,6,1,2,7,3,4,8]=>[7,4,2,6,3,1,5,8]=>[8,5,1,3,6,2,4,7]=>1100100 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,6,1,2,7,3,8,4]=>[8,4,2,6,3,1,5,7]=>[7,5,1,3,6,2,4,8]=>1100100 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,6,1,2,7,8,3,4]=>[7,3,1,5,8,4,2,6]=>[6,2,4,8,5,1,3,7]=>1100100 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,6,1,2,8,3,4,7]=>[8,7,4,2,6,3,1,5]=>[5,1,3,6,2,4,7,8]=>1100000 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,6,1,7,2,8,3,4]=>[8,4,7,3,1,5,2,6]=>[6,2,5,1,3,7,4,8]=>1101000 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,6,1,7,8,2,3,4]=>[6,2,8,4,7,3,1,5]=>[5,1,3,7,4,8,2,6]=>1101000 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[5,6,1,8,2,3,4,7]=>[6,3,1,5,2,8,7,4]=>[4,7,8,2,5,1,3,6]=>1100000 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,1,2,3,4,8]=>[7,4,1,5,2,6,3,8]=>[8,3,6,2,5,1,4,7]=>1110000 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,6,7,1,2,3,8,4]=>[8,4,1,5,2,6,3,7]=>[7,3,6,2,5,1,4,8]=>1110000 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,6,7,1,2,8,3,4]=>[7,3,8,4,1,5,2,6]=>[6,2,5,1,4,8,3,7]=>1110000 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,6,7,1,8,2,3,4]=>[6,2,7,3,8,4,1,5]=>[5,1,4,8,3,7,2,6]=>1110000 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>1110000 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,8,1,2,3,4,7]=>[8,7,4,1,5,2,6,3]=>[3,6,2,5,1,4,7,8]=>1100000 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,7,1,2,3,4,6,8]=>[5,3,1,7,6,4,2,8]=>[8,2,4,6,7,1,3,5]=>1100000 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,7,1,2,3,4,8,6]=>[5,3,1,8,6,4,2,7]=>[7,2,4,6,8,1,3,5]=>1100000 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,7,8,1,2,3,4,6]=>[7,4,1,5,2,8,6,3]=>[3,6,8,2,5,1,4,7]=>1100000 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,8,1,2,3,4,6,7]=>[5,3,1,8,7,6,4,2]=>[2,4,6,7,8,1,3,5]=>1000000 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,1,2,3,4,5,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>1000001 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,1,2,3,4,5,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>1000000 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,1,2,3,4,7,5,8]=>[7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7]=>1000010 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,1,2,3,4,7,8,5]=>[8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8]=>1000010 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,1,2,3,4,8,5,7]=>[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]=>1000000 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,1,2,3,7,4,5,8]=>[6,4,3,2,1,7,5,8]=>[8,5,7,1,2,3,4,6]=>1000100 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,1,2,3,7,4,8,5]=>[6,4,3,2,1,8,5,7]=>[7,5,8,1,2,3,4,6]=>1000100 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,1,2,3,7,8,4,5]=>[8,5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5,8]=>1000100 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,1,2,3,8,4,5,7]=>[6,4,3,2,1,8,7,5]=>[5,7,8,1,2,3,4,6]=>1000000 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,1,2,7,3,4,8,5]=>[8,5,3,2,1,6,4,7]=>[7,4,6,1,2,3,5,8]=>1001000 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,1,2,7,3,8,4,5]=>[7,4,8,5,3,2,1,6]=>[6,1,2,3,5,8,4,7]=>1001000 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,1,2,7,8,3,4,5]=>[6,3,2,1,7,4,8,5]=>[5,8,4,7,1,2,3,6]=>1001000 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,1,2,8,3,4,5,7]=>[8,7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7,8]=>1000000 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,1,7,2,3,4,5,8]=>[6,4,2,1,7,5,3,8]=>[8,3,5,7,1,2,4,6]=>1010000 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[6,1,7,2,3,4,8,5]=>[6,4,2,1,8,5,3,7]=>[7,3,5,8,1,2,4,6]=>1010000 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,1,7,2,3,8,4,5]=>[8,5,3,7,4,2,1,6]=>[6,1,2,4,7,3,5,8]=>1010000 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,1,7,2,8,3,4,5]=>[7,4,2,1,6,3,8,5]=>[5,8,3,6,1,2,4,7]=>1010000 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,1,7,8,2,3,4,5]=>[8,5,2,1,6,3,7,4]=>[4,7,3,6,1,2,5,8]=>1010000 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,1,8,2,3,4,5,7]=>[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]=>1000000 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,7,1,2,3,4,5,8]=>[7,5,3,1,6,4,2,8]=>[8,2,4,6,1,3,5,7]=>1100000 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,7,1,2,3,4,8,5]=>[8,5,3,1,6,4,2,7]=>[7,2,4,6,1,3,5,8]=>1100000 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,7,1,2,3,8,4,5]=>[7,4,2,8,5,3,1,6]=>[6,1,3,5,8,2,4,7]=>1100000 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,7,1,2,8,3,4,5]=>[6,3,1,7,4,2,8,5]=>[5,8,2,4,7,1,3,6]=>1100000 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,7,1,8,2,3,4,5]=>[6,3,1,8,5,2,7,4]=>[4,7,2,5,8,1,3,6]=>1100000 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,1,2,3,4,5]=>[8,5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5,8]=>1100000 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,8,1,2,3,4,5,7]=>[8,7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7,8]=>1000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>1000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,8,6]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]=>1000000 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,1,2,3,4,8,5,6]=>[7,5,4,3,2,1,8,6]=>[6,8,1,2,3,4,5,7]=>1000000 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,1,2,3,8,4,5,6]=>[8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]=>1000000 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,1,2,8,3,4,5,6]=>[7,5,3,2,1,8,6,4]=>[4,6,8,1,2,3,5,7]=>1000000 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,1,8,2,3,4,5,6]=>[8,6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6,8]=>1000000 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,1,2,3,4,5,6]=>[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>1000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>0000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>10000000 [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]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]=>10000000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>100000000 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,8,1,2,3,4,5,6,9]=>[7,5,3,1,8,6,4,2,9]=>[9,2,4,6,8,1,3,5,7]=>11000000 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,2,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]=>100000000 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>1000000000 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]=>1000000000 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,1,2,3,4,5,6,7,8,9,10,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>10000000000 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0]=>[7,1,2,8,3,4,5,6,9]=>[7,5,3,2,1,8,6,4,9]=>[9,4,6,8,1,2,3,5,7]=>10010000 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,8,9,1,2,3,4,5,6,10]=>[7,4,1,8,5,2,9,6,3,10]=>[10,3,6,9,2,5,8,1,4,7]=>111000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[7,1,2,3,4,5,8,6,9]=>[8,6,5,4,3,2,1,7,9]=>[9,7,1,2,3,4,5,6,8]=>10000010 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,8,1,2,3,4,9]=>[5,1,6,2,7,3,8,4,9]=>[9,4,8,3,7,2,6,1,5]=>11110000 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,8,1,3,4,5,6,7,9]=>[8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]=>11000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,1,2,3,4,5,6,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>10000000 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,8,2,3,4,5,6,9,7]=>[1,9,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,9,1]=>11000000 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,3,4,5,6,7,8]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>10000000 [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,9,2,4,5,6,7,8]=>[1,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,1]=>11000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,1,2,3,4,5,6,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>10000001 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,8,2,3,4,5,6,7,9]=>[1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1]=>11000000 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,9,3,4,5,6,7,8]=>[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]=>11000000 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[2,9,1,3,4,5,6,7,8,10]=>[9,8,7,6,5,4,3,1,2,10]=>[10,2,1,3,4,5,6,7,8,9]=>110000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,1,2,3,4,5,6,7,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>100000000 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[1,9,2,3,4,5,6,7,10,8]=>[1,10,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,10,1]=>110000000 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,10,3,4,5,6,7,8,9]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>100000000 [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,3,10,2,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,10,1]=>110000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,1,2,3,4,5,6,7,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>100000001 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,9,2,3,4,5,6,7,8,10]=>[1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]=>110000000 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]=>110000000 []=>[]=>[]=>[]=> [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>[9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9]=>11111110 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,9,1,8]=>[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]=>11111100 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,6,8,1,9,7]=>[9,7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7,9]=>11111100 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,8,9,1,7]=>[8,1,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,1,8]=>11111100 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,6,9,1,7,8]=>[9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]=>11111000 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,5,7,1,8,9,6]=>[9,6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6,9]=>11111010 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,5,7,8,9,1,6]=>[9,6,8,1,2,3,4,5,7]=>[7,5,4,3,2,1,8,6,9]=>11111100 [1,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,9,1,6,7,8]=>[9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]=>11110000 [1,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,9,1,5,6,7,8]=>[9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]=>11100000 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,5,1,6,7,8,9,4]=>[9,4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4,9]=>11101110 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,3,5,1,6,7,9,4,8]=>[9,8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8,9]=>11101100 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,9,1,4]=>[9,4,6,8,1,2,3,5,7]=>[7,5,3,2,1,8,6,4,9]=>11111100 [1,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,6,7,8,9,1,4,5]=>[9,5,8,4,7,1,2,3,6]=>[6,3,2,1,7,4,8,5,9]=>11111000 [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,9,1,4,5,6,7,8]=>[9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]=>11000000 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,6,7,8,9,3]=>[9,3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3,9]=>11011110 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,8,5,9,7]=>[9,7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7,9]=>11010100 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,8,1,3,4,5,6,9,7]=>[9,7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7,9]=>11000000 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[2,8,1,9,3,4,5,6,7]=>[9,7,5,3,1,2,8,6,4]=>[4,6,8,2,1,3,5,7,9]=>11000000 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,9,1,3,4,5,6,7,8]=>[9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]=>10000000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,9,2]=>[9,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,9]=>10111110 [1,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,1,4,5,6,9,2,7,8]=>[9,8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8,9]=>10111000 [1,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,4,9,2,5,6,7,8]=>[9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9]=>10100000 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,7,4,9,6,8]=>[9,8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8,9]=>10101000 [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,1,9,2,4,5,6,7,8]=>[9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9]=>10000000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,1,2]=>[9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9]=>11111100 [1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,6,9,1,2,7,8]=>[9,8,7,2,4,6,1,3,5]=>[5,3,1,6,4,2,7,8,9]=>11110000 [1,1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,4,6,7,8,9,1,2,5]=>[9,5,8,2,4,7,1,3,6]=>[6,3,1,7,4,2,8,5,9]=>11111000 [1,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,9,1,2,5,6,7,8]=>[9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9]=>11000000 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,9,1,2,4,5,6,7,8]=>[3,1,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,1,3]=>10000000 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,1,2,5,6,7,8,9,3]=>[9,3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3,9]=>10011110 [1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,1,2,5,9,3,6,7,8]=>[9,8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8,9]=>10010000 [1,1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,5,6,9,1,2,3,7,8]=>[9,8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8,9]=>11100000 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[4,9,1,2,3,5,6,7,8]=>[9,8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8,9]=>10000000 [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,1,2,3,9,4,6,7,8]=>[9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9]=>10000000 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,9,1,2,3,4]=>[9,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,9]=>11110000 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,9,1,2,3,4,6,7,8]=>[5,3,1,9,8,7,6,4,2]=>[2,4,6,7,8,9,1,3,5]=>10000000 [1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0]=>[6,1,2,3,4,9,5,7,8]=>[9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9]=>10000000 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[6,1,7,8,9,2,3,4,5]=>[6,2,1,7,3,8,4,9,5]=>[5,9,4,8,3,7,1,2,6]=>10110000 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>[9,5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5,9]=>11100000 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,1,2,3,4,5,9,6,8]=>[9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9]=>10000000 [1,1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0]=>[7,1,8,2,3,9,4,5,6]=>[7,4,2,1,8,5,3,9,6]=>[6,9,3,5,8,1,2,4,7]=>10100000 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>[7,4,1,8,5,2,9,6,3]=>[3,6,9,2,5,8,1,4,7]=>11000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1,2,3,4,5,6,9,7]=>[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]=>10000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[8,1,2,3,4,5,9,6,7]=>[8,6,5,4,3,2,1,9,7]=>[7,9,1,2,3,4,5,6,8]=>10000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[8,1,2,3,4,9,5,6,7]=>[9,7,5,4,3,2,1,8,6]=>[6,8,1,2,3,4,5,7,9]=>10000000 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[8,1,2,3,9,4,5,6,7]=>[8,6,4,3,2,1,9,7,5]=>[5,7,9,1,2,3,4,6,8]=>10000000 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,1,9,2,3,4,5,6,7]=>[8,6,4,2,1,9,7,5,3]=>[3,5,7,9,1,2,4,6,8]=>10000000 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,1,2,3,4,5,6,7]=>[9,7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7,9]=>10000000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,1,2,3,4,5,6,7,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>00000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1]=>11111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1]=>11111110 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,2,1]=>11111110 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,6,7,8]=>[8,7,6,9,5,4,3,2,1]=>11111110 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,2,1]=>11111110 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,2,1]=>11111110 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,2,1]=>11111110 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]=>[1,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,1]=>11111110 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]=>111111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1]=>111111110 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]=>11111100 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,2,1]=>111111110 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,9,7,6,8]=>[8,6,7,9,5,4,3,2,1]=>11111100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,7,8,9]=>[9,8,7,10,6,5,4,3,2,1]=>111111110 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,9,6,5,7,8]=>[8,7,5,6,9,4,3,2,1]=>11111010 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,6,7,8,9]=>[9,8,7,6,10,5,4,3,2,1]=>111111110 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,3,6,4,7,8,9,5]=>[1,2,3,9,5,4,6,7,8]=>[8,7,6,4,5,9,3,2,1]=>11110110 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,5,6,7,8,9]=>[9,8,7,6,5,10,4,3,2,1]=>111111110 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,5,3,6,7,8,9,4]=>[1,2,9,4,3,5,6,7,8]=>[8,7,6,5,3,4,9,2,1]=>11101110 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,4,5,6,7,8,9]=>[9,8,7,6,5,4,10,3,2,1]=>111111110 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,2,5,6,7,8,9,3]=>[1,9,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,9,1]=>11011110 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,10,2,1]=>111111110 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,10,1]=>111111110 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]=>111111110 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>1111111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,4,3,2,1]=>1111111110 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,9,8]=>[8,9,10,7,6,5,4,3,2,1]=>111111100 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,8,10,11,9]=>[1,2,3,4,5,6,7,8,11,9,10]=>[10,9,11,8,7,6,5,4,3,2,1]=>1111111110 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,5,8,9,6,7]=>[1,2,3,4,5,8,6,9,7]=>[7,9,6,8,5,4,3,2,1]=>11111100 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]=>11111000 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,1,4,5,6,7,8,9,10,2]=>[10,2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2,10]=>101111110 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,2]=>[1,11,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,11,1]=>1111111110 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]=>1111111110 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,10,9,8,7]=>[7,8,9,10,6,5,4,3,2,1]=>111111000 [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]=>11110000 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]=>111110000 [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]=>11100000 [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,9,8,7,6,5]=>[5,6,7,8,9,10,4,3,2,1]=>111100000 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[6,1,2,3,4,7,8,9,10,5]=>[10,5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5,10]=>100001110 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,2,1]=>11111110 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>[8,9,6,7,5,4,3,2,1]=>11111100 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,5,8,6,7,9]=>[1,2,3,4,5,8,7,6,9]=>[9,6,7,8,5,4,3,2,1]=>11111100 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,2,1]=>11111011 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>[9,8,7,6,4,5,3,2,1]=>11110111 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8]=>[8,9,6,7,4,5,3,2,1]=>11110100 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,2,1]=>11101111 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,3,1]=>11011111 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]=>[8,9,7,6,5,4,2,3,1]=>11011110 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]=>[9,8,7,6,4,5,2,3,1]=>11010111 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[8,9,6,7,4,5,2,3,1]=>11010100 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,2,9,4,5,6,7,8]=>[1,3,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,3,1]=>11000000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,4,2,3,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,4,1]=>11001111 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,7,2,3,4,5,6,8,9]=>[1,7,6,5,4,3,2,8,9]=>[9,8,2,3,4,5,6,7,1]=>11000001 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,7,2,3,4,5,6,9,8]=>[1,7,6,5,4,3,2,9,8]=>[8,9,2,3,4,5,6,7,1]=>11000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>10111111 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,1,2]=>10111110 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,1,2]=>10111110 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,1,2]=>10101111 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8,9]=>[2,1,4,3,6,5,7,8,9]=>[9,8,7,5,6,3,4,1,2]=>10101011 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,1,2]=>10101010 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,8,3,4,5,6,7,9]=>[2,1,8,7,6,5,4,3,9]=>[9,3,4,5,6,7,8,1,2]=>10100000 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>10011111 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]=>[8,9,6,7,4,5,1,2,3]=>10010100 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,2,9,4,5,6,7,8]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>10000000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>10001111 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,1,2,3,9,5,6,7,8]=>[4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]=>10000000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,1,2,3,4,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>10000111 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,1,2,3,4,9,6,7,8]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]=>10000000 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,1,2,3,4,5,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>10000011 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[6,1,2,3,4,5,8,7,9]=>[6,5,4,3,2,1,8,7,9]=>[9,7,8,1,2,3,4,5,6]=>10000010 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,1,2,3,4,5,9,7,8]=>[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>10000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,3,2,1]=>111111110 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[9,10,7,8,6,5,4,3,2,1]=>111111100 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[10,9,8,6,7,5,4,3,2,1]=>111111011 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[10,9,8,7,5,6,4,3,2,1]=>111110111 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7,10,9]=>[1,2,3,4,6,5,8,7,10,9]=>[9,10,7,8,5,6,4,3,2,1]=>111110100 [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,3,2,1]=>111000000 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,2,1]=>111010100 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,3,1]=>110111111 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,2,3,1]=>110101010 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[1,8,2,3,4,5,6,7,9,10]=>[1,8,7,6,5,4,3,2,9,10]=>[10,9,2,3,4,5,6,7,8,1]=>110000001 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>101111111 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,1,2]=>101111110 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,1,2]=>101011111 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8,9,10]=>[2,1,4,3,6,5,7,8,9,10]=>[10,9,8,7,5,6,3,4,1,2]=>101010111 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,9,10]=>[2,1,4,3,6,5,8,7,9,10]=>[10,9,7,8,5,6,3,4,1,2]=>101010101 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>101010100 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,2,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>100111111 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,1,2,3]=>100101010 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,1,2,10,4,5,6,7,8,9]=>[3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3]=>100000000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,1,2,3,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>100011111 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,1,2,3,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[9,10,7,8,5,6,1,2,3,4]=>100010100 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,1,2,3,10,5,6,7,8,9]=>[4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]=>100000000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,1,2,3,4,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>100001111 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,1,2,3,4,10,6,7,8,9]=>[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]=>100000000 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,1,2,3,4,5,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>100000111 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,1,2,3,4,5,10,7,8,9]=>[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>100000000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,1,2,3,4,5,6,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>100000011 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,1,2,3,4,5,6,10,8,9]=>[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>100000000 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,1,2,3,4,5,6,7,8,9]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>000000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3]=>11011111 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4]=>11101111 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,1,5]=>11110111 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,6]=>11111011 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]=>[7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7]=>11111101 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]=>[8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8]=>11111110 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,3]=>110111111 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,1,3,5,6,7,8,9]=>[4,3,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,3,4]=>11001111 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,2,1,4]=>111011111 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,5,1,4,6,7,8,9]=>[5,4,1,2,3,6,7,8,9]=>[9,8,7,6,3,2,1,4,5]=>11100111 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>[10,9,8,7,6,4,3,2,1,5]=>111101111 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,4,6,1,5,7,8,9]=>[6,5,1,2,3,4,7,8,9]=>[9,8,7,4,3,2,1,5,6]=>11110011 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,6]=>111110111 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,5,7,1,6,8,9]=>[7,6,1,2,3,4,5,8,9]=>[9,8,5,4,3,2,1,6,7]=>11111001 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,7]=>111111011 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,6,8,1,7,9]=>[8,7,1,2,3,4,5,6,9]=>[9,6,5,4,3,2,1,7,8]=>11111100 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,8,1,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>[10,9,7,6,5,4,3,2,1,8]=>111111101 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>[9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9]=>111111110 [1,1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,7,8,10,1,2,3,4,9]=>[10,9,4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4,9,10]=>111100000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,2]=>1011111111 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,8,9,7]=>[2,1,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,1,2]=>10111110 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,10,1,9]=>[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]=>111111100 [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[8,10,1,2,3,4,5,6,7,9]=>[10,9,7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7,9,10]=>100000000 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[9,1,10,2,3,4,5,6,7,8]=>[10,8,6,4,2,1,9,7,5,3]=>[3,5,7,9,1,2,4,6,8,10]=>100000000 [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[8,1,9,10,2,3,4,5,6,7]=>[8,5,2,1,9,6,3,10,7,4]=>[4,7,10,3,6,9,1,2,5,8]=>101000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,7,9,10,8]=>[2,1,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,1,2]=>101111110 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,6,8,9,7]=>[3,1,2,4,5,6,9,7,8]=>[8,7,9,6,5,4,2,1,3]=>11011110 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,6,8,9,7]=>[1,3,2,4,5,6,9,7,8]=>[8,7,9,6,5,4,2,3,1]=>11011110 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,7,9,8]=>[3,1,2,4,5,6,7,9,8]=>[8,9,7,6,5,4,2,1,3]=>11011110 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7,8,9]=>[3,1,4,2,5,6,7,8,9]=>[9,8,7,6,5,2,4,1,3]=>11001111 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,10,1,3,4,5,6,7,8,9]=>[10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10]=>100000000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1,2,3,4,5,6,7,10,8]=>[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]=>100000000 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1,2,3,4,5,6,7,8,11,9]=>[11,9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9,11]=>1000000000 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[6,1,2,3,4,7,5,8,9]=>[7,5,4,3,2,1,6,8,9]=>[9,8,6,1,2,3,4,5,7]=>10000101 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,1,2,3,6,4,7,8,9]=>[6,4,3,2,1,5,7,8,9]=>[9,8,7,5,1,2,3,4,6]=>10001011 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,1,2,5,3,6,7,8,9]=>[5,3,2,1,4,6,7,8,9]=>[9,8,7,6,4,1,2,3,5]=>10010111 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,2,5,6,7,8,9]=>[4,2,1,3,5,6,7,8,9]=>[9,8,7,6,5,3,1,2,4]=>10101111 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>[9,7,5,3,1,10,8,6,4,2]=>[2,4,6,8,10,1,3,5,7,9]=>100000000 [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,10,1,2,4,5,6,7,8,9]=>[3,1,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,1,3]=>100000000 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,9,10,1,3]=>[10,3,5,7,9,1,2,4,6,8]=>[8,6,4,2,1,9,7,5,3,10]=>111111100 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,1,9,4,5,6,7,8]=>[3,1,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,1,3]=>11000000 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8,9]=>[1,5,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,5,1]=>11110111 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8,9]=>[1,2,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,2,1]=>11110111 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,8,6,9,10]=>[1,2,3,4,5,8,6,7,9,10]=>[10,9,7,6,8,5,4,3,2,1]=>111111101 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,7,9,8]=>[5,1,2,3,4,6,7,9,8]=>[8,9,7,6,4,3,2,1,5]=>11110110 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8,9]=>[2,1,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,1,2]=>10110111 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,1,4,5,6,7,8,2,9]=>[8,2,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,2,8]=>10111110 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,9,2,8]=>[1,9,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,9,1]=>11111100 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,1,9,8]=>[7,1,2,3,4,5,6,9,8]=>[8,9,6,5,4,3,2,1,7]=>11111100 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,3]=>[2,1,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,1,2]=>10111110 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,6,1,9,7,8]=>[6,1,2,3,4,5,9,8,7]=>[7,8,9,5,4,3,2,1,6]=>11111000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,6,7,10,1,8,9]=>[10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]=>111111000 [1,1,0,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1,9,6,7,8]=>[5,1,2,3,4,9,8,7,6]=>[6,7,8,9,4,3,2,1,5]=>11110000 [1,1,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,3,4,7,8,9,10,1,5,6]=>[10,6,9,5,8,1,2,3,4,7]=>[7,4,3,2,1,8,5,9,6,10]=>111111000 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,9,10,1,2,3]=>[10,3,6,9,2,5,8,1,4,7]=>[7,4,1,8,5,2,9,6,3,10]=>111111000 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[6,1,2,3,4,5,8,9,7]=>[6,5,4,3,2,1,9,7,8]=>[8,7,9,1,2,3,4,5,6]=>10000010 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[9,1,2,3,4,5,6,10,7,8]=>[9,7,6,5,4,3,2,1,10,8]=>[8,10,1,2,3,4,5,6,7,9]=>100000000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[9,1,2,3,4,10,5,6,7,8]=>[9,7,5,4,3,2,1,10,8,6]=>[6,8,10,1,2,3,4,5,7,9]=>100000000 [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[9,1,2,10,3,4,5,6,7,8]=>[9,7,5,3,2,1,10,8,6,4]=>[4,6,8,10,1,2,3,5,7,9]=>100000000 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,4,5,7,1,8,9,10,6]=>[10,6,1,2,3,4,5,7,8,9]=>[9,8,7,5,4,3,2,1,6,10]=>111110110 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,6,1,8,7,9]=>[6,1,2,3,4,5,8,7,9]=>[9,7,8,5,4,3,2,1,6]=>11111010 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6,9,8]=>[3,1,2,5,4,7,6,9,8]=>[8,9,6,7,4,5,2,1,3]=>11010100 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,3,6,5,8,7,10,9]=>[4,3,1,2,6,5,8,7,10,9]=>[9,10,7,8,5,6,2,1,3,4]=>110010100 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,6,3,8,5,9,7,10]=>[9,7,5,3,1,2,4,6,8,10]=>[10,8,6,4,2,1,3,5,7,9]=>110101010 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,9,8,10]=>[3,1,2,5,4,7,6,9,8,10]=>[10,8,9,6,7,4,5,2,1,3]=>110101010 [1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,10,1,4,5,6,7,8,9]=>[10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10]=>110000000 [1,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,10,1,5,6,7,8,9]=>[10,9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9,10]=>111000000 [1,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,10,1,6,7,8,9]=>[10,9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9,10]=>111100000 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,10,1,7,8,9]=>[10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]=>111110000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,7,9,10,1,8]=>[9,1,2,3,4,5,6,7,10,8]=>[8,10,7,6,5,4,3,2,1,9]=>111111100 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,5,6,8,9,10,1,7]=>[10,7,9,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,9,7,10]=>111111100 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,9,10,1,5]=>[10,5,7,9,1,2,3,4,6,8]=>[8,6,4,3,2,1,9,7,5,10]=>111111100 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,9,11,1,10]=>[11,10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10,11]=>1111111100 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,7,8,10,11,1,9]=>[10,1,2,3,4,5,6,7,8,11,9]=>[9,11,8,7,6,5,4,3,2,1,10]=>1111111100 [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[8,1,10,2,3,4,5,6,7,9]=>[8,6,4,2,1,10,9,7,5,3]=>[3,5,7,9,10,1,2,4,6,8]=>100000000 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>0000000000 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,1,11,3,4,5,6,7,8,9,10]=>[2,1,11,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,11,1,2]=>1000000000 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,8,9,1,2,3,4,10]=>[9,4,8,3,7,2,6,1,5,10]=>[10,5,1,6,2,7,3,8,4,9]=>111110000 [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,11,1,3,4,5,6,7,8,9,10]=>[11,10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10,11]=>1000000000 [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,3,5,9,4,6,7,8]=>[1,2,3,9,8,7,6,4,5]=>[5,4,6,7,8,9,3,2,1]=>11110000 [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,4,6,9,5,7,8]=>[1,2,3,4,9,8,7,5,6]=>[6,5,7,8,9,4,3,2,1]=>11111000 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,9,6,8]=>[1,2,3,4,5,9,8,6,7]=>[7,6,8,9,5,4,3,2,1]=>11111100 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,1,2,3,4,5,6,7,8,11,10]=>[9,8,7,6,5,4,3,2,1,11,10]=>[10,11,1,2,3,4,5,6,7,8,9]=>1000000000 [1,1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,6,7,8,9,10,1,3,4,5]=>[10,5,9,4,8,3,7,1,2,6]=>[6,2,1,7,3,8,4,9,5,10]=>111110000 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,6,1,2,3,4,7,8,9]=>[5,3,1,6,4,2,7,8,9]=>[9,8,7,2,4,6,1,3,5]=>11000011 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,5,1,6,7,8,9,10,4]=>[10,4,1,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,1,4,10]=>111011110 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,4,1]=>11101111 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,8,1,9,10,11,7]=>[11,7,1,2,3,4,5,6,8,9,10]=>[10,9,8,6,5,4,3,2,1,7,11]=>1111110110 [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>[10,7,4,1,8,5,2,9,6,3]=>[3,6,9,2,5,8,1,4,7,10]=>110000000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,6,7,8,10,1,2,9]=>[10,9,2,4,6,8,1,3,5,7]=>[7,5,3,1,8,6,4,2,9,10]=>111111000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>[11,9,10,8,7,6,5,4,3,2,1]=>1111111110 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,5,6,8,1,9,10,7]=>[10,7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7,10]=>111111010 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>[6,1,7,2,8,3,9,4,10,5]=>[5,10,4,9,3,8,2,7,1,6]=>111100000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>[11,9,8,7,6,5,4,3,2,1,10]=>1111111110 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,2,9]=>[1,8,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,8,1]=>11111110 [1,1,1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,10,1,2,3,7,8,9]=>[10,9,8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8,9,10]=>111000000 [1,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,10,1,2,5,6,7,8,9]=>[10,9,8,7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7,8,9,10]=>110000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0]=>[8,1,2,3,4,5,6,10,7,9]=>[10,9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9,10]=>100000000 [1,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[5,1,2,3,10,4,6,7,8,9]=>[10,9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9,10]=>100000000 [1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,1,2,10,3,5,6,7,8,9]=>[10,9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9,10]=>100000000 [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,1,10,2,4,5,6,7,8,9]=>[10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10]=>100000000 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,1,2,5,6,7,8,9,10]=>[3,1,4,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,4,1,3]=>110011111 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,8,1,10,9]=>[8,1,2,3,4,5,6,7,10,9]=>[9,10,7,6,5,4,3,2,1,8]=>111111100 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,6,1,2,3,4,7,8,9,10]=>[5,3,1,6,4,2,7,8,9,10]=>[10,9,8,7,2,4,6,1,3,5]=>110000111 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,5,2,7,6,9,8]=>[3,1,5,2,4,7,6,9,8]=>[8,9,6,7,4,2,5,1,3]=>11010100 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,4,1,2,6,5,8,7,9]=>[3,1,4,2,6,5,8,7,9]=>[9,7,8,5,6,2,4,1,3]=>11001010 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,1,2,6,5,8,7,10,9]=>[3,1,4,2,6,5,8,7,10,9]=>[9,10,7,8,5,6,2,4,1,3]=>110010100 [1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,4,9,2,5,6,7,8]=>[1,9,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,9,1]=>11100000 [1,0,1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,4,10,2,5,6,7,8,9]=>[1,10,9,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,9,10,1]=>111000000 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,9,2,10]=>[1,9,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,9,1]=>111111110 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,6,8,9,2,7]=>[1,8,2,3,4,5,6,9,7]=>[7,9,6,5,4,3,2,8,1]=>11111100 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,7,8,4,9,10]=>[1,2,3,8,4,5,6,7,9,10]=>[10,9,7,6,5,4,8,3,2,1]=>111111101 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[1,10,2,3,4,5,6,7,8,9,11]=>[1,10,9,8,7,6,5,4,3,2,11]=>[11,2,3,4,5,6,7,8,9,10,1]=>1100000000 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,7,4,8,6,9]=>[8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8]=>10101010 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,7,4,9,6,10,8]=>[10,8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8,10]=>101010100 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,8,1,2,3,4,5,6,9,10]=>[7,5,3,1,8,6,4,2,9,10]=>[10,9,2,4,6,8,1,3,5,7]=>110000001 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,6,7,9,1,10,8]=>[10,8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8,10]=>111111100 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,8,10,2,9]=>[1,10,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,10,1]=>111111100 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,10,8]=>[1,3,2,5,4,7,6,10,8,9]=>[9,8,10,6,7,4,5,2,3,1]=>110101010 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>10101010100 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,6,7,1,9,8,10]=>[7,1,2,3,4,5,6,9,8,10]=>[10,8,9,6,5,4,3,2,1,7]=>111111010 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,1,5,6,7,8,9,10,3]=>[10,3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3,10]=>110111110 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[3,5,1,6,2,4,8,7,9]=>[3,1,5,2,6,4,8,7,9]=>[9,7,8,4,6,2,5,1,3]=>11010010 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,1,7,2,8,4,6,9]=>[3,1,5,2,7,4,8,6,9]=>[9,6,8,4,7,2,5,1,3]=>11010100 [1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[11,9,7,5,3,1,12,10,8,6,4,2]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>10000000000 [1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[3,11,1,2,4,5,6,7,8,9,10]=>[3,1,11,10,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,10,11,1,3]=>1000000000 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,5,6,1,2,3,7,8,9,10]=>[4,1,5,2,6,3,7,8,9,10]=>[10,9,8,7,3,6,2,5,1,4]=>111000111 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,5,6,1,2,3,7,8,9]=>[4,1,5,2,6,3,7,8,9]=>[9,8,7,3,6,2,5,1,4]=>11100011 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0]=>[6,1,2,3,7,4,5,8,9]=>[6,4,3,2,1,7,5,8,9]=>[9,8,5,7,1,2,3,4,6]=>10001001 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,7,1,8,9,10,11,6]=>[11,6,1,2,3,4,5,7,8,9,10]=>[10,9,8,7,5,4,3,2,1,6,11]=>1111101110 [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,1,7,8,9,10,3,4,5,6]=>[2,1,7,3,8,4,9,5,10,6]=>[6,10,5,9,4,8,3,7,1,2]=>101110000 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,1,2,6,5,9,10,7,8]=>[3,1,4,2,6,5,9,7,10,8]=>[8,10,7,9,5,6,2,4,1,3]=>110010100 [1,1,1,0,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,1,4,10,2,5,6,7,8,9]=>[10,9,8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8,9,10]=>101000000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,11,1,12]=>[11,1,2,3,4,5,6,7,8,9,10,12]=>[12,10,9,8,7,6,5,4,3,2,1,11]=>11111111110