=>

[1,0]=>[2,1]=>[2,1]=>1 [1,0,1,0]=>[3,1,2]=>[3,1,2]=>10 [1,1,0,0]=>[2,3,1]=>[3,2,1]=>11 [1,0,1,0,1,0]=>[4,1,2,3]=>[4,1,2,3]=>100 [1,0,1,1,0,0]=>[3,1,4,2]=>[4,3,1,2]=>101 [1,1,0,0,1,0]=>[2,4,1,3]=>[4,2,1,3]=>110 [1,1,0,1,0,0]=>[4,3,1,2]=>[3,1,4,2]=>110 [1,1,1,0,0,0]=>[2,3,4,1]=>[4,3,2,1]=>111 [1,0,1,0,1,0,1,0]=>[5,1,2,3,4]=>[5,1,2,3,4]=>1000 [1,0,1,0,1,1,0,0]=>[4,1,2,5,3]=>[5,4,1,2,3]=>1001 [1,0,1,1,0,0,1,0]=>[3,1,5,2,4]=>[5,3,1,2,4]=>1010 [1,0,1,1,0,1,0,0]=>[5,1,4,2,3]=>[4,1,2,5,3]=>1010 [1,0,1,1,1,0,0,0]=>[3,1,4,5,2]=>[5,4,3,1,2]=>1011 [1,1,0,0,1,0,1,0]=>[2,5,1,3,4]=>[5,2,1,3,4]=>1100 [1,1,0,0,1,1,0,0]=>[2,4,1,5,3]=>[5,4,2,1,3]=>1101 [1,1,0,1,0,0,1,0]=>[5,3,1,2,4]=>[3,1,5,2,4]=>1100 [1,1,0,1,0,1,0,0]=>[5,4,1,2,3]=>[4,1,5,2,3]=>1100 [1,1,0,1,1,0,0,0]=>[4,3,1,5,2]=>[3,1,5,4,2]=>1101 [1,1,1,0,0,0,1,0]=>[2,3,5,1,4]=>[5,3,2,1,4]=>1110 [1,1,1,0,0,1,0,0]=>[2,5,4,1,3]=>[4,2,1,5,3]=>1110 [1,1,1,0,1,0,0,0]=>[5,3,4,1,2]=>[4,3,1,5,2]=>1110 [1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[5,4,3,2,1]=>1111 [1,0,1,0,1,0,1,0,1,0]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>10000 [1,0,1,0,1,0,1,1,0,0]=>[5,1,2,3,6,4]=>[6,5,1,2,3,4]=>10001 [1,0,1,0,1,1,0,0,1,0]=>[4,1,2,6,3,5]=>[6,4,1,2,3,5]=>10010 [1,0,1,0,1,1,0,1,0,0]=>[6,1,2,5,3,4]=>[5,1,2,3,6,4]=>10010 [1,0,1,0,1,1,1,0,0,0]=>[4,1,2,5,6,3]=>[6,5,4,1,2,3]=>10011 [1,0,1,1,0,0,1,0,1,0]=>[3,1,6,2,4,5]=>[6,3,1,2,4,5]=>10100 [1,0,1,1,0,0,1,1,0,0]=>[3,1,5,2,6,4]=>[6,5,3,1,2,4]=>10101 [1,0,1,1,0,1,0,0,1,0]=>[6,1,4,2,3,5]=>[4,1,2,6,3,5]=>10100 [1,0,1,1,0,1,0,1,0,0]=>[6,1,5,2,3,4]=>[5,1,2,6,3,4]=>10100 [1,0,1,1,0,1,1,0,0,0]=>[5,1,4,2,6,3]=>[4,1,2,6,5,3]=>10101 [1,0,1,1,1,0,0,0,1,0]=>[3,1,4,6,2,5]=>[6,4,3,1,2,5]=>10110 [1,0,1,1,1,0,0,1,0,0]=>[3,1,6,5,2,4]=>[5,3,1,2,6,4]=>10110 [1,0,1,1,1,0,1,0,0,0]=>[6,1,4,5,2,3]=>[5,4,1,2,6,3]=>10110 [1,0,1,1,1,1,0,0,0,0]=>[3,1,4,5,6,2]=>[6,5,4,3,1,2]=>10111 [1,1,0,0,1,0,1,0,1,0]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>11000 [1,1,0,0,1,0,1,1,0,0]=>[2,5,1,3,6,4]=>[6,5,2,1,3,4]=>11001 [1,1,0,0,1,1,0,0,1,0]=>[2,4,1,6,3,5]=>[6,4,2,1,3,5]=>11010 [1,1,0,0,1,1,0,1,0,0]=>[2,6,1,5,3,4]=>[5,2,1,3,6,4]=>11010 [1,1,0,0,1,1,1,0,0,0]=>[2,4,1,5,6,3]=>[6,5,4,2,1,3]=>11011 [1,1,0,1,0,0,1,0,1,0]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]=>11000 [1,1,0,1,0,0,1,1,0,0]=>[5,3,1,2,6,4]=>[3,1,6,5,2,4]=>11001 [1,1,0,1,0,1,0,0,1,0]=>[6,4,1,2,3,5]=>[4,1,6,2,3,5]=>11000 [1,1,0,1,0,1,0,1,0,0]=>[5,6,1,2,3,4]=>[6,1,5,2,3,4]=>11000 [1,1,0,1,0,1,1,0,0,0]=>[5,4,1,2,6,3]=>[4,1,6,5,2,3]=>11001 [1,1,0,1,1,0,0,0,1,0]=>[4,3,1,6,2,5]=>[3,1,6,4,2,5]=>11010 [1,1,0,1,1,0,0,1,0,0]=>[6,3,1,5,2,4]=>[3,1,5,2,6,4]=>11010 [1,1,0,1,1,0,1,0,0,0]=>[6,4,1,5,2,3]=>[5,4,1,6,2,3]=>11010 [1,1,0,1,1,1,0,0,0,0]=>[4,3,1,5,6,2]=>[3,1,6,5,4,2]=>11011 [1,1,1,0,0,0,1,0,1,0]=>[2,3,6,1,4,5]=>[6,3,2,1,4,5]=>11100 [1,1,1,0,0,0,1,1,0,0]=>[2,3,5,1,6,4]=>[6,5,3,2,1,4]=>11101 [1,1,1,0,0,1,0,0,1,0]=>[2,6,4,1,3,5]=>[4,2,1,6,3,5]=>11100 [1,1,1,0,0,1,0,1,0,0]=>[2,6,5,1,3,4]=>[5,2,1,6,3,4]=>11100 [1,1,1,0,0,1,1,0,0,0]=>[2,5,4,1,6,3]=>[4,2,1,6,5,3]=>11101 [1,1,1,0,1,0,0,0,1,0]=>[6,3,4,1,2,5]=>[4,3,1,6,2,5]=>11100 [1,1,1,0,1,0,0,1,0,0]=>[6,3,5,1,2,4]=>[5,3,1,6,2,4]=>11100 [1,1,1,0,1,0,1,0,0,0]=>[6,5,4,1,2,3]=>[4,1,5,2,6,3]=>11100 [1,1,1,0,1,1,0,0,0,0]=>[5,3,4,1,6,2]=>[4,3,1,6,5,2]=>11101 [1,1,1,1,0,0,0,0,1,0]=>[2,3,4,6,1,5]=>[6,4,3,2,1,5]=>11110 [1,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,1,4]=>[5,3,2,1,6,4]=>11110 [1,1,1,1,0,0,1,0,0,0]=>[2,6,4,5,1,3]=>[5,4,2,1,6,3]=>11110 [1,1,1,1,0,1,0,0,0,0]=>[6,3,4,5,1,2]=>[5,4,3,1,6,2]=>11110 [1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[6,5,4,3,2,1]=>11111 [1,0,1,0,1,0,1,0,1,0,1,0]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>100000 [1,0,1,0,1,0,1,0,1,1,0,0]=>[6,1,2,3,4,7,5]=>[7,6,1,2,3,4,5]=>100001 [1,0,1,0,1,0,1,1,0,0,1,0]=>[5,1,2,3,7,4,6]=>[7,5,1,2,3,4,6]=>100010 [1,0,1,0,1,0,1,1,0,1,0,0]=>[7,1,2,3,6,4,5]=>[6,1,2,3,4,7,5]=>100010 [1,0,1,0,1,0,1,1,1,0,0,0]=>[5,1,2,3,6,7,4]=>[7,6,5,1,2,3,4]=>100011 [1,0,1,0,1,1,0,0,1,0,1,0]=>[4,1,2,7,3,5,6]=>[7,4,1,2,3,5,6]=>100100 [1,0,1,0,1,1,0,0,1,1,0,0]=>[4,1,2,6,3,7,5]=>[7,6,4,1,2,3,5]=>100101 [1,0,1,0,1,1,0,1,0,0,1,0]=>[7,1,2,5,3,4,6]=>[5,1,2,3,7,4,6]=>100100 [1,0,1,0,1,1,0,1,0,1,0,0]=>[7,1,2,6,3,4,5]=>[6,1,2,3,7,4,5]=>100100 [1,0,1,0,1,1,0,1,1,0,0,0]=>[6,1,2,5,3,7,4]=>[5,1,2,3,7,6,4]=>100101 [1,0,1,0,1,1,1,0,0,0,1,0]=>[4,1,2,5,7,3,6]=>[7,5,4,1,2,3,6]=>100110 [1,0,1,0,1,1,1,0,0,1,0,0]=>[4,1,2,7,6,3,5]=>[6,4,1,2,3,7,5]=>100110 [1,0,1,0,1,1,1,0,1,0,0,0]=>[7,1,2,5,6,3,4]=>[6,5,1,2,3,7,4]=>100110 [1,0,1,0,1,1,1,1,0,0,0,0]=>[4,1,2,5,6,7,3]=>[7,6,5,4,1,2,3]=>100111 [1,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,7,2,4,5,6]=>[7,3,1,2,4,5,6]=>101000 [1,0,1,1,0,0,1,0,1,1,0,0]=>[3,1,6,2,4,7,5]=>[7,6,3,1,2,4,5]=>101001 [1,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,5,2,7,4,6]=>[7,5,3,1,2,4,6]=>101010 [1,0,1,1,0,0,1,1,0,1,0,0]=>[3,1,7,2,6,4,5]=>[6,3,1,2,4,7,5]=>101010 [1,0,1,1,0,0,1,1,1,0,0,0]=>[3,1,5,2,6,7,4]=>[7,6,5,3,1,2,4]=>101011 [1,0,1,1,0,1,0,0,1,0,1,0]=>[7,1,4,2,3,5,6]=>[4,1,2,7,3,5,6]=>101000 [1,0,1,1,0,1,0,0,1,1,0,0]=>[6,1,4,2,3,7,5]=>[4,1,2,7,6,3,5]=>101001 [1,0,1,1,0,1,0,1,0,0,1,0]=>[7,1,5,2,3,4,6]=>[5,1,2,7,3,4,6]=>101000 [1,0,1,1,0,1,0,1,0,1,0,0]=>[6,1,7,2,3,4,5]=>[7,1,2,6,3,4,5]=>101000 [1,0,1,1,0,1,0,1,1,0,0,0]=>[6,1,5,2,3,7,4]=>[5,1,2,7,6,3,4]=>101001 [1,0,1,1,0,1,1,0,0,0,1,0]=>[5,1,4,2,7,3,6]=>[4,1,2,7,5,3,6]=>101010 [1,0,1,1,0,1,1,0,0,1,0,0]=>[7,1,4,2,6,3,5]=>[4,1,2,6,3,7,5]=>101010 [1,0,1,1,0,1,1,0,1,0,0,0]=>[7,1,5,2,6,3,4]=>[6,5,1,2,7,3,4]=>101010 [1,0,1,1,0,1,1,1,0,0,0,0]=>[5,1,4,2,6,7,3]=>[4,1,2,7,6,5,3]=>101011 [1,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,7,2,5,6]=>[7,4,3,1,2,5,6]=>101100 [1,0,1,1,1,0,0,0,1,1,0,0]=>[3,1,4,6,2,7,5]=>[7,6,4,3,1,2,5]=>101101 [1,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,7,5,2,4,6]=>[5,3,1,2,7,4,6]=>101100 [1,0,1,1,1,0,0,1,0,1,0,0]=>[3,1,7,6,2,4,5]=>[6,3,1,2,7,4,5]=>101100 [1,0,1,1,1,0,0,1,1,0,0,0]=>[3,1,6,5,2,7,4]=>[5,3,1,2,7,6,4]=>101101 [1,0,1,1,1,0,1,0,0,0,1,0]=>[7,1,4,5,2,3,6]=>[5,4,1,2,7,3,6]=>101100 [1,0,1,1,1,0,1,0,0,1,0,0]=>[7,1,4,6,2,3,5]=>[6,4,1,2,7,3,5]=>101100 [1,0,1,1,1,0,1,0,1,0,0,0]=>[7,1,6,5,2,3,4]=>[5,1,2,6,3,7,4]=>101100 [1,0,1,1,1,0,1,1,0,0,0,0]=>[6,1,4,5,2,7,3]=>[5,4,1,2,7,6,3]=>101101 [1,0,1,1,1,1,0,0,0,0,1,0]=>[3,1,4,5,7,2,6]=>[7,5,4,3,1,2,6]=>101110 [1,0,1,1,1,1,0,0,0,1,0,0]=>[3,1,4,7,6,2,5]=>[6,4,3,1,2,7,5]=>101110 [1,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,7,5,6,2,4]=>[6,5,3,1,2,7,4]=>101110 [1,0,1,1,1,1,0,1,0,0,0,0]=>[7,1,4,5,6,2,3]=>[6,5,4,1,2,7,3]=>101110 [1,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,4,5,6,7,2]=>[7,6,5,4,3,1,2]=>101111 [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>110000 [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,6,1,3,4,7,5]=>[7,6,2,1,3,4,5]=>110001 [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,5,1,3,7,4,6]=>[7,5,2,1,3,4,6]=>110010 [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,7,1,3,6,4,5]=>[6,2,1,3,4,7,5]=>110010 [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,5,1,3,6,7,4]=>[7,6,5,2,1,3,4]=>110011 [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,4,1,7,3,5,6]=>[7,4,2,1,3,5,6]=>110100 [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,1,6,3,7,5]=>[7,6,4,2,1,3,5]=>110101 [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,7,1,5,3,4,6]=>[5,2,1,3,7,4,6]=>110100 [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,7,1,6,3,4,5]=>[6,2,1,3,7,4,5]=>110100 [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,6,1,5,3,7,4]=>[5,2,1,3,7,6,4]=>110101 [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,4,1,5,7,3,6]=>[7,5,4,2,1,3,6]=>110110 [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,4,1,7,6,3,5]=>[6,4,2,1,3,7,5]=>110110 [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,7,1,5,6,3,4]=>[6,5,2,1,3,7,4]=>110110 [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,4,1,5,6,7,3]=>[7,6,5,4,2,1,3]=>110111 [1,1,0,1,0,0,1,0,1,0,1,0]=>[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]=>110000 [1,1,0,1,0,0,1,0,1,1,0,0]=>[6,3,1,2,4,7,5]=>[3,1,7,6,2,4,5]=>110001 [1,1,0,1,0,0,1,1,0,0,1,0]=>[5,3,1,2,7,4,6]=>[3,1,7,5,2,4,6]=>110010 [1,1,0,1,0,0,1,1,0,1,0,0]=>[7,3,1,2,6,4,5]=>[3,1,6,2,4,7,5]=>110010 [1,1,0,1,0,0,1,1,1,0,0,0]=>[5,3,1,2,6,7,4]=>[3,1,7,6,5,2,4]=>110011 [1,1,0,1,0,1,0,0,1,0,1,0]=>[7,4,1,2,3,5,6]=>[4,1,7,2,3,5,6]=>110000 [1,1,0,1,0,1,0,0,1,1,0,0]=>[6,4,1,2,3,7,5]=>[4,1,7,6,2,3,5]=>110001 [1,1,0,1,0,1,0,1,0,0,1,0]=>[5,7,1,2,3,4,6]=>[7,1,5,2,3,4,6]=>110000 [1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,1,2,3,4,5]=>[6,1,7,2,3,4,5]=>110000 [1,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,1,2,3,7,4]=>[7,6,1,5,2,3,4]=>110001 [1,1,0,1,0,1,1,0,0,0,1,0]=>[5,4,1,2,7,3,6]=>[4,1,7,5,2,3,6]=>110010 [1,1,0,1,0,1,1,0,0,1,0,0]=>[7,4,1,2,6,3,5]=>[4,1,6,2,3,7,5]=>110010 [1,1,0,1,0,1,1,0,1,0,0,0]=>[5,7,1,2,6,3,4]=>[6,1,7,5,2,3,4]=>110010 [1,1,0,1,0,1,1,1,0,0,0,0]=>[5,4,1,2,6,7,3]=>[4,1,7,6,5,2,3]=>110011 [1,1,0,1,1,0,0,0,1,0,1,0]=>[4,3,1,7,2,5,6]=>[3,1,7,4,2,5,6]=>110100 [1,1,0,1,1,0,0,0,1,1,0,0]=>[4,3,1,6,2,7,5]=>[3,1,7,6,4,2,5]=>110101 [1,1,0,1,1,0,0,1,0,0,1,0]=>[7,3,1,5,2,4,6]=>[3,1,5,2,7,4,6]=>110100 [1,1,0,1,1,0,0,1,0,1,0,0]=>[7,3,1,6,2,4,5]=>[3,1,6,2,7,4,5]=>110100 [1,1,0,1,1,0,0,1,1,0,0,0]=>[6,3,1,5,2,7,4]=>[3,1,5,2,7,6,4]=>110101 [1,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,1,5,2,3,6]=>[5,4,1,7,2,3,6]=>110100 [1,1,0,1,1,0,1,0,0,1,0,0]=>[7,4,1,6,2,3,5]=>[6,4,1,7,2,3,5]=>110100 [1,1,0,1,1,0,1,0,1,0,0,0]=>[6,7,1,5,2,3,4]=>[5,1,7,2,3,6,4]=>110100 [1,1,0,1,1,0,1,1,0,0,0,0]=>[6,4,1,5,2,7,3]=>[5,4,1,7,6,2,3]=>110101 [1,1,0,1,1,1,0,0,0,0,1,0]=>[4,3,1,5,7,2,6]=>[3,1,7,5,4,2,6]=>110110 [1,1,0,1,1,1,0,0,0,1,0,0]=>[4,3,1,7,6,2,5]=>[3,1,6,4,2,7,5]=>110110 [1,1,0,1,1,1,0,0,1,0,0,0]=>[7,3,1,5,6,2,4]=>[3,1,6,5,2,7,4]=>110110 [1,1,0,1,1,1,0,1,0,0,0,0]=>[7,4,1,5,6,2,3]=>[6,5,4,1,7,2,3]=>110110 [1,1,0,1,1,1,1,0,0,0,0,0]=>[4,3,1,5,6,7,2]=>[3,1,7,6,5,4,2]=>110111 [1,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,7,1,4,5,6]=>[7,3,2,1,4,5,6]=>111000 [1,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,6,1,4,7,5]=>[7,6,3,2,1,4,5]=>111001 [1,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,1,7,4,6]=>[7,5,3,2,1,4,6]=>111010 [1,1,1,0,0,0,1,1,0,1,0,0]=>[2,3,7,1,6,4,5]=>[6,3,2,1,4,7,5]=>111010 [1,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,1,6,7,4]=>[7,6,5,3,2,1,4]=>111011 [1,1,1,0,0,1,0,0,1,0,1,0]=>[2,7,4,1,3,5,6]=>[4,2,1,7,3,5,6]=>111000 [1,1,1,0,0,1,0,0,1,1,0,0]=>[2,6,4,1,3,7,5]=>[4,2,1,7,6,3,5]=>111001 [1,1,1,0,0,1,0,1,0,0,1,0]=>[2,7,5,1,3,4,6]=>[5,2,1,7,3,4,6]=>111000 [1,1,1,0,0,1,0,1,0,1,0,0]=>[2,6,7,1,3,4,5]=>[7,2,1,6,3,4,5]=>111000 [1,1,1,0,0,1,0,1,1,0,0,0]=>[2,6,5,1,3,7,4]=>[5,2,1,7,6,3,4]=>111001 [1,1,1,0,0,1,1,0,0,0,1,0]=>[2,5,4,1,7,3,6]=>[4,2,1,7,5,3,6]=>111010 [1,1,1,0,0,1,1,0,0,1,0,0]=>[2,7,4,1,6,3,5]=>[4,2,1,6,3,7,5]=>111010 [1,1,1,0,0,1,1,0,1,0,0,0]=>[2,7,5,1,6,3,4]=>[6,5,2,1,7,3,4]=>111010 [1,1,1,0,0,1,1,1,0,0,0,0]=>[2,5,4,1,6,7,3]=>[4,2,1,7,6,5,3]=>111011 [1,1,1,0,1,0,0,0,1,0,1,0]=>[7,3,4,1,2,5,6]=>[4,3,1,7,2,5,6]=>111000 [1,1,1,0,1,0,0,0,1,1,0,0]=>[6,3,4,1,2,7,5]=>[4,3,1,7,6,2,5]=>111001 [1,1,1,0,1,0,0,1,0,0,1,0]=>[7,3,5,1,2,4,6]=>[5,3,1,7,2,4,6]=>111000 [1,1,1,0,1,0,0,1,0,1,0,0]=>[6,3,7,1,2,4,5]=>[7,3,1,6,2,4,5]=>111000 [1,1,1,0,1,0,0,1,1,0,0,0]=>[6,3,5,1,2,7,4]=>[5,3,1,7,6,2,4]=>111001 [1,1,1,0,1,0,1,0,0,0,1,0]=>[7,5,4,1,2,3,6]=>[4,1,5,2,7,3,6]=>111000 [1,1,1,0,1,0,1,0,0,1,0,0]=>[6,7,4,1,2,3,5]=>[4,1,7,2,6,3,5]=>111000 [1,1,1,0,1,0,1,0,1,0,0,0]=>[6,7,5,1,2,3,4]=>[5,1,7,2,6,3,4]=>111000 [1,1,1,0,1,0,1,1,0,0,0,0]=>[6,5,4,1,2,7,3]=>[4,1,5,2,7,6,3]=>111001 [1,1,1,0,1,1,0,0,0,0,1,0]=>[5,3,4,1,7,2,6]=>[4,3,1,7,5,2,6]=>111010 [1,1,1,0,1,1,0,0,0,1,0,0]=>[7,3,4,1,6,2,5]=>[4,3,1,6,2,7,5]=>111010 [1,1,1,0,1,1,0,0,1,0,0,0]=>[7,3,5,1,6,2,4]=>[6,5,3,1,7,2,4]=>111010 [1,1,1,0,1,1,0,1,0,0,0,0]=>[7,5,4,1,6,2,3]=>[4,1,6,5,2,7,3]=>111010 [1,1,1,0,1,1,1,0,0,0,0,0]=>[5,3,4,1,6,7,2]=>[4,3,1,7,6,5,2]=>111011 [1,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,4,7,1,5,6]=>[7,4,3,2,1,5,6]=>111100 [1,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,4,6,1,7,5]=>[7,6,4,3,2,1,5]=>111101 [1,1,1,1,0,0,0,1,0,0,1,0]=>[2,3,7,5,1,4,6]=>[5,3,2,1,7,4,6]=>111100 [1,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,7,6,1,4,5]=>[6,3,2,1,7,4,5]=>111100 [1,1,1,1,0,0,0,1,1,0,0,0]=>[2,3,6,5,1,7,4]=>[5,3,2,1,7,6,4]=>111101 [1,1,1,1,0,0,1,0,0,0,1,0]=>[2,7,4,5,1,3,6]=>[5,4,2,1,7,3,6]=>111100 [1,1,1,1,0,0,1,0,0,1,0,0]=>[2,7,4,6,1,3,5]=>[6,4,2,1,7,3,5]=>111100 [1,1,1,1,0,0,1,0,1,0,0,0]=>[2,7,6,5,1,3,4]=>[5,2,1,6,3,7,4]=>111100 [1,1,1,1,0,0,1,1,0,0,0,0]=>[2,6,4,5,1,7,3]=>[5,4,2,1,7,6,3]=>111101 [1,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,4,5,1,2,6]=>[5,4,3,1,7,2,6]=>111100 [1,1,1,1,0,1,0,0,0,1,0,0]=>[7,3,4,6,1,2,5]=>[6,4,3,1,7,2,5]=>111100 [1,1,1,1,0,1,0,0,1,0,0,0]=>[7,3,6,5,1,2,4]=>[5,3,1,6,2,7,4]=>111100 [1,1,1,1,0,1,0,1,0,0,0,0]=>[7,6,4,5,1,2,3]=>[5,4,1,6,2,7,3]=>111100 [1,1,1,1,0,1,1,0,0,0,0,0]=>[6,3,4,5,1,7,2]=>[5,4,3,1,7,6,2]=>111101 [1,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,4,5,7,1,6]=>[7,5,4,3,2,1,6]=>111110 [1,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,4,7,6,1,5]=>[6,4,3,2,1,7,5]=>111110 [1,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,7,5,6,1,4]=>[6,5,3,2,1,7,4]=>111110 [1,1,1,1,1,0,0,1,0,0,0,0]=>[2,7,4,5,6,1,3]=>[6,5,4,2,1,7,3]=>111110 [1,1,1,1,1,0,1,0,0,0,0,0]=>[7,3,4,5,6,1,2]=>[6,5,4,3,1,7,2]=>111110 [1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>[7,6,5,4,3,2,1]=>111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>1000000 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,1,2,3,4,7,8,5]=>[8,7,6,1,2,3,4,5]=>1000011 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[5,1,2,3,7,4,8,6]=>[8,7,5,1,2,3,4,6]=>1000101 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[5,1,2,3,6,8,4,7]=>[8,6,5,1,2,3,4,7]=>1000110 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,1,2,3,6,7,8,4]=>[8,7,6,5,1,2,3,4]=>1000111 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[4,1,2,6,3,7,8,5]=>[8,7,6,4,1,2,3,5]=>1001011 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,1,2,8,3,4,5,6]=>[8,1,2,3,7,4,5,6]=>1001000 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[6,1,2,5,3,8,4,7]=>[5,1,2,3,8,6,4,7]=>1001010 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[8,1,2,6,3,7,4,5]=>[7,6,1,2,3,8,4,5]=>1001010 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[4,1,2,8,7,3,5,6]=>[7,4,1,2,3,8,5,6]=>1001100 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[4,1,2,7,6,3,8,5]=>[6,4,1,2,3,8,7,5]=>1001101 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[8,1,2,5,6,3,4,7]=>[6,5,1,2,3,8,4,7]=>1001100 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[7,1,2,5,6,3,8,4]=>[6,5,1,2,3,8,7,4]=>1001101 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[4,1,2,5,8,7,3,6]=>[7,5,4,1,2,3,8,6]=>1001110 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[8,1,2,5,6,7,3,4]=>[7,6,5,1,2,3,8,4]=>1001110 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,1,2,5,6,7,8,3]=>[8,7,6,5,4,1,2,3]=>1001111 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,8,2,4,5,6,7]=>[8,3,1,2,4,5,6,7]=>1010000 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,6,2,4,7,8,5]=>[8,7,6,3,1,2,4,5]=>1010011 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,5,2,7,4,8,6]=>[8,7,5,3,1,2,4,6]=>1010101 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,8,2,6,4,5,7]=>[6,3,1,2,4,8,5,7]=>1010100 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,7,2,6,4,8,5]=>[6,3,1,2,4,8,7,5]=>1010101 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,8,2,6,7,4,5]=>[7,6,3,1,2,4,8,5]=>1010110 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,5,2,6,7,8,4]=>[8,7,6,5,3,1,2,4]=>1010111 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[8,1,4,2,3,5,6,7]=>[4,1,2,8,3,5,6,7]=>1010000 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[6,1,7,2,3,4,8,5]=>[8,7,1,2,6,3,4,5]=>1010001 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[6,1,5,2,3,8,4,7]=>[5,1,2,8,6,3,4,7]=>1010010 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[6,1,5,2,3,7,8,4]=>[5,1,2,8,7,6,3,4]=>1010011 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[5,1,4,2,8,3,6,7]=>[4,1,2,8,5,3,6,7]=>1010100 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[5,1,4,2,7,3,8,6]=>[4,1,2,8,7,5,3,6]=>1010101 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[8,1,4,2,6,3,5,7]=>[4,1,2,6,3,8,5,7]=>1010100 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[7,1,4,2,6,3,8,5]=>[4,1,2,6,3,8,7,5]=>1010101 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[8,1,5,2,7,3,4,6]=>[7,5,1,2,8,3,4,6]=>1010100 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[7,1,8,2,6,3,4,5]=>[6,1,2,8,3,4,7,5]=>1010100 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[7,1,5,2,6,3,8,4]=>[6,5,1,2,8,7,3,4]=>1010101 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[8,1,4,2,6,7,3,5]=>[4,1,2,7,6,3,8,5]=>1010110 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[8,1,5,2,6,7,3,4]=>[7,6,5,1,2,8,3,4]=>1010110 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[5,1,4,2,6,7,8,3]=>[4,1,2,8,7,6,5,3]=>1010111 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,6,5,2,8,4,7]=>[5,3,1,2,8,6,4,7]=>1011010 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[8,1,4,5,2,3,6,7]=>[5,4,1,2,8,3,6,7]=>1011000 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[7,1,8,6,2,3,4,5]=>[6,1,2,8,3,7,4,5]=>1011000 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[7,1,6,5,2,3,8,4]=>[5,1,2,6,3,8,7,4]=>1011001 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,4,8,6,2,5,7]=>[6,4,3,1,2,8,5,7]=>1011100 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,4,5,6,7,8,2]=>[8,7,6,5,4,3,1,2]=>1011111 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,5,1,3,7,4,8,6]=>[8,7,5,2,1,3,4,6]=>1100101 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,5,1,3,6,8,4,7]=>[8,6,5,2,1,3,4,7]=>1100110 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,5,1,3,6,7,8,4]=>[8,7,6,5,2,1,3,4]=>1100111 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,4,1,8,3,5,6,7]=>[8,4,2,1,3,5,6,7]=>1101000 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,4,1,6,3,8,5,7]=>[8,6,4,2,1,3,5,7]=>1101010 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,4,1,6,3,7,8,5]=>[8,7,6,4,2,1,3,5]=>1101011 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,6,1,5,3,7,8,4]=>[5,2,1,3,8,7,6,4]=>1101011 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,4,1,5,8,3,6,7]=>[8,5,4,2,1,3,6,7]=>1101100 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,8,1,5,7,3,4,6]=>[7,5,2,1,3,8,4,6]=>1101100 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,4,1,5,6,7,8,3]=>[8,7,6,5,4,2,1,3]=>1101111 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,3,1,2,4,5,6,7]=>[3,1,8,2,4,5,6,7]=>1100000 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[6,3,1,2,4,8,5,7]=>[3,1,8,6,2,4,5,7]=>1100010 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,3,1,2,6,4,5,7]=>[3,1,6,2,4,8,5,7]=>1100100 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,3,1,2,6,7,8,4]=>[3,1,8,7,6,5,2,4]=>1100111 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[8,4,1,2,3,7,5,6]=>[4,1,7,2,3,5,8,6]=>1100010 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[5,6,1,2,3,8,4,7]=>[8,6,1,5,2,3,4,7]=>1100010 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,1,2,3,7,8,4]=>[8,7,6,1,5,2,3,4]=>1100011 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[5,4,1,2,8,3,6,7]=>[4,1,8,5,2,3,6,7]=>1100100 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[8,4,1,2,7,3,5,6]=>[4,1,7,2,3,8,5,6]=>1100100 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[8,7,1,2,6,3,4,5]=>[6,1,7,2,3,4,8,5]=>1100100 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[5,7,1,2,6,3,8,4]=>[6,1,8,7,5,2,3,4]=>1100101 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[5,8,1,2,6,7,3,4]=>[7,6,1,8,5,2,3,4]=>1100110 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[4,3,1,6,2,7,8,5]=>[3,1,8,7,6,4,2,5]=>1101011 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,3,1,5,2,4,6,7]=>[3,1,5,2,8,4,6,7]=>1101000 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,3,1,6,2,4,5,7]=>[3,1,6,2,8,4,5,7]=>1101000 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[7,3,1,6,2,4,8,5]=>[3,1,6,2,8,7,4,5]=>1101001 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[8,3,1,5,2,7,4,6]=>[3,1,5,2,7,4,8,6]=>1101010 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[6,3,1,5,2,7,8,4]=>[3,1,5,2,8,7,6,4]=>1101011 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,4,1,5,2,3,8,6]=>[5,4,1,8,7,2,3,6]=>1101001 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,4,1,6,2,3,5,7]=>[6,4,1,8,2,3,5,7]=>1101000 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,4,1,8,2,3,5,6]=>[8,4,1,7,2,3,5,6]=>1101000 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[8,7,1,6,2,3,4,5]=>[6,1,7,2,3,8,4,5]=>1101000 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[6,8,1,5,2,7,3,4]=>[5,1,7,2,3,8,6,4]=>1101010 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[8,3,1,5,6,2,4,7]=>[3,1,6,5,2,8,4,7]=>1101100 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[8,3,1,5,7,2,4,6]=>[3,1,7,5,2,8,4,6]=>1101100 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[8,3,1,7,6,2,4,5]=>[3,1,6,2,7,4,8,5]=>1101100 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[7,3,1,5,6,2,8,4]=>[3,1,6,5,2,8,7,4]=>1101101 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[4,3,1,5,6,8,2,7]=>[3,1,8,6,5,4,2,7]=>1101110 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,1,5,6,7,8,2]=>[3,1,8,7,6,5,4,2]=>1101111 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,8,1,4,5,6,7]=>[8,3,2,1,4,5,6,7]=>1110000 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,3,7,1,4,5,8,6]=>[8,7,3,2,1,4,5,6]=>1110001 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[2,3,6,1,4,8,5,7]=>[8,6,3,2,1,4,5,7]=>1110010 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[2,3,6,1,4,7,8,5]=>[8,7,6,3,2,1,4,5]=>1110011 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,3,5,1,7,4,8,6]=>[8,7,5,3,2,1,4,6]=>1110101 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,3,7,1,6,4,8,5]=>[6,3,2,1,4,8,7,5]=>1110101 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,3,5,1,6,7,8,4]=>[8,7,6,5,3,2,1,4]=>1110111 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,8,4,1,3,5,6,7]=>[4,2,1,8,3,5,6,7]=>1110000 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,6,4,1,3,8,5,7]=>[4,2,1,8,6,3,5,7]=>1110010 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,6,4,1,3,7,8,5]=>[4,2,1,8,7,6,3,5]=>1110011 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,6,7,1,3,4,8,5]=>[8,7,2,1,6,3,4,5]=>1110001 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,6,8,1,3,7,4,5]=>[7,2,1,8,6,3,4,5]=>1110010 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[2,6,5,1,3,7,8,4]=>[5,2,1,8,7,6,3,4]=>1110011 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,8,4,1,7,3,5,6]=>[4,2,1,7,3,8,5,6]=>1110100 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,7,4,1,6,3,8,5]=>[4,2,1,6,3,8,7,5]=>1110101 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,8,5,1,7,3,4,6]=>[7,5,2,1,8,3,4,6]=>1110100 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,7,5,1,6,3,8,4]=>[6,5,2,1,8,7,3,4]=>1110101 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,5,4,1,6,7,8,3]=>[4,2,1,8,7,6,5,3]=>1110111 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,3,4,1,2,5,6,7]=>[4,3,1,8,2,5,6,7]=>1110000 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,3,5,1,2,4,6,7]=>[5,3,1,8,2,4,6,7]=>1110000 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[7,3,5,1,2,4,8,6]=>[5,3,1,8,7,2,4,6]=>1110001 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[6,3,7,1,2,4,8,5]=>[8,7,3,1,6,2,4,5]=>1110001 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,3,8,1,2,7,4,5]=>[7,3,1,8,6,2,4,5]=>1110010 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,5,4,1,2,3,8,6]=>[4,1,5,2,8,7,3,6]=>1110001 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,1,2,3,8,5]=>[4,1,8,7,2,6,3,5]=>1110001 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,7,5,1,2,3,4,6]=>[5,1,7,2,8,3,4,6]=>1110000 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>[8,1,7,2,6,3,4,5]=>1110000 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[8,5,4,1,2,7,3,6]=>[4,1,5,2,7,3,8,6]=>1110010 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[8,3,4,1,7,2,5,6]=>[4,3,1,7,2,8,5,6]=>1110100 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[8,3,5,1,6,2,4,7]=>[6,5,3,1,8,2,4,7]=>1110100 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[7,3,8,1,6,2,4,5]=>[6,3,1,8,2,4,7,5]=>1110100 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[7,8,4,1,6,2,3,5]=>[4,1,6,2,8,3,7,5]=>1110100 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[7,8,5,1,6,2,3,4]=>[6,5,1,8,2,7,3,4]=>1110100 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[5,3,4,1,6,7,8,2]=>[4,3,1,8,7,6,5,2]=>1110111 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,3,4,8,1,5,6,7]=>[8,4,3,2,1,5,6,7]=>1111000 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,3,4,7,1,5,8,6]=>[8,7,4,3,2,1,5,6]=>1111001 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,3,4,6,1,8,5,7]=>[8,6,4,3,2,1,5,7]=>1111010 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[2,3,4,8,1,7,5,6]=>[7,4,3,2,1,5,8,6]=>1111010 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,3,7,8,1,4,5,6]=>[8,3,2,1,7,4,5,6]=>1111000 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,3,7,6,1,4,8,5]=>[6,3,2,1,8,7,4,5]=>1111001 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[2,3,6,5,1,8,4,7]=>[5,3,2,1,8,6,4,7]=>1111010 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,7,4,8,1,3,5,6]=>[8,4,2,1,7,3,5,6]=>1111000 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,8,6,5,1,3,4,7]=>[5,2,1,6,3,8,4,7]=>1111000 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,7,6,5,1,3,8,4]=>[5,2,1,6,3,8,7,4]=>1111001 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,8,4,6,1,7,3,5]=>[7,6,4,2,1,8,3,5]=>1111010 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,3,8,5,1,2,4,6]=>[5,3,1,8,2,7,4,6]=>1111000 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[7,8,6,5,1,2,3,4]=>[5,1,6,2,8,3,7,4]=>1111000 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[8,6,4,5,1,7,2,3]=>[5,4,1,7,6,2,8,3]=>1111010 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[2,3,4,8,6,1,5,7]=>[6,4,3,2,1,8,5,7]=>1111100 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,3,4,8,7,1,5,6]=>[7,4,3,2,1,8,5,6]=>1111100 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,3,4,7,6,1,8,5]=>[6,4,3,2,1,8,7,5]=>1111101 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,3,8,5,7,1,4,6]=>[7,5,3,2,1,8,4,6]=>1111100 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,3,7,5,6,1,8,4]=>[6,5,3,2,1,8,7,4]=>1111101 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[2,8,4,7,6,1,3,5]=>[6,4,2,1,7,3,8,5]=>1111100 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,8,7,5,6,1,3,4]=>[6,5,2,1,7,3,8,4]=>1111100 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[8,3,4,7,6,1,2,5]=>[6,4,3,1,7,2,8,5]=>1111100 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[8,3,7,5,6,1,2,4]=>[6,5,3,1,7,2,8,4]=>1111100 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,3,4,8,6,7,1,5]=>[7,6,4,3,2,1,8,5]=>1111110 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>[8,7,6,5,4,3,2,1]=>1111111