=>

[1,0]=>[1]=>[1]=> [1,0,1,0]=>[2,1]=>[2,1]=>1 [1,1,0,0]=>[1,2]=>[1,2]=>0 [1,0,1,0,1,0]=>[2,3,1]=>[3,2,1]=>11 [1,0,1,1,0,0]=>[2,1,3]=>[2,1,3]=>10 [1,1,0,0,1,0]=>[1,3,2]=>[1,3,2]=>01 [1,1,0,1,0,0]=>[3,1,2]=>[3,1,2]=>01 [1,1,1,0,0,0]=>[1,2,3]=>[1,2,3]=>00 [1,0,1,0,1,0,1,0]=>[2,3,4,1]=>[4,3,2,1]=>111 [1,0,1,0,1,1,0,0]=>[2,3,1,4]=>[3,2,1,4]=>110 [1,0,1,1,0,0,1,0]=>[2,1,4,3]=>[2,1,4,3]=>101 [1,0,1,1,0,1,0,0]=>[2,4,1,3]=>[4,2,1,3]=>101 [1,0,1,1,1,0,0,0]=>[2,1,3,4]=>[2,1,3,4]=>100 [1,1,0,0,1,0,1,0]=>[1,3,4,2]=>[1,4,3,2]=>011 [1,1,0,0,1,1,0,0]=>[1,3,2,4]=>[1,3,2,4]=>010 [1,1,0,1,0,0,1,0]=>[3,1,4,2]=>[4,3,1,2]=>011 [1,1,0,1,0,1,0,0]=>[3,4,1,2]=>[4,1,3,2]=>011 [1,1,0,1,1,0,0,0]=>[3,1,2,4]=>[3,1,2,4]=>010 [1,1,1,0,0,0,1,0]=>[1,2,4,3]=>[1,2,4,3]=>001 [1,1,1,0,0,1,0,0]=>[1,4,2,3]=>[1,4,2,3]=>001 [1,1,1,0,1,0,0,0]=>[4,1,2,3]=>[4,1,2,3]=>001 [1,1,1,1,0,0,0,0]=>[1,2,3,4]=>[1,2,3,4]=>000 [1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1]=>[5,4,3,2,1]=>1111 [1,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5]=>[4,3,2,1,5]=>1110 [1,0,1,0,1,1,0,0,1,0]=>[2,3,1,5,4]=>[3,2,1,5,4]=>1101 [1,0,1,0,1,1,0,1,0,0]=>[2,3,5,1,4]=>[5,3,2,1,4]=>1101 [1,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,5]=>[3,2,1,4,5]=>1100 [1,0,1,1,0,0,1,0,1,0]=>[2,1,4,5,3]=>[2,1,5,4,3]=>1011 [1,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,5]=>[2,1,4,3,5]=>1010 [1,0,1,1,0,1,0,0,1,0]=>[2,4,1,5,3]=>[5,4,2,1,3]=>1011 [1,0,1,1,0,1,0,1,0,0]=>[2,4,5,1,3]=>[5,2,1,4,3]=>1011 [1,0,1,1,0,1,1,0,0,0]=>[2,4,1,3,5]=>[4,2,1,3,5]=>1010 [1,0,1,1,1,0,0,0,1,0]=>[2,1,3,5,4]=>[2,1,3,5,4]=>1001 [1,0,1,1,1,0,0,1,0,0]=>[2,1,5,3,4]=>[2,1,5,3,4]=>1001 [1,0,1,1,1,0,1,0,0,0]=>[2,5,1,3,4]=>[5,2,1,3,4]=>1001 [1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [1,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2]=>[1,5,4,3,2]=>0111 [1,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5]=>[1,4,3,2,5]=>0110 [1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4]=>[1,3,2,5,4]=>0101 [1,1,0,0,1,1,0,1,0,0]=>[1,3,5,2,4]=>[1,5,3,2,4]=>0101 [1,1,0,0,1,1,1,0,0,0]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0100 [1,1,0,1,0,0,1,0,1,0]=>[3,1,4,5,2]=>[5,4,3,1,2]=>0111 [1,1,0,1,0,0,1,1,0,0]=>[3,1,4,2,5]=>[4,3,1,2,5]=>0110 [1,1,0,1,0,1,0,0,1,0]=>[3,4,1,5,2]=>[5,4,1,3,2]=>0111 [1,1,0,1,0,1,0,1,0,0]=>[3,4,5,1,2]=>[5,1,4,3,2]=>0111 [1,1,0,1,0,1,1,0,0,0]=>[3,4,1,2,5]=>[4,1,3,2,5]=>0110 [1,1,0,1,1,0,0,0,1,0]=>[3,1,2,5,4]=>[3,1,2,5,4]=>0101 [1,1,0,1,1,0,0,1,0,0]=>[3,1,5,2,4]=>[5,3,1,2,4]=>0101 [1,1,0,1,1,0,1,0,0,0]=>[3,5,1,2,4]=>[5,1,3,2,4]=>0101 [1,1,0,1,1,1,0,0,0,0]=>[3,1,2,4,5]=>[3,1,2,4,5]=>0100 [1,1,1,0,0,0,1,0,1,0]=>[1,2,4,5,3]=>[1,2,5,4,3]=>0011 [1,1,1,0,0,0,1,1,0,0]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0010 [1,1,1,0,0,1,0,0,1,0]=>[1,4,2,5,3]=>[1,5,4,2,3]=>0011 [1,1,1,0,0,1,0,1,0,0]=>[1,4,5,2,3]=>[1,5,2,4,3]=>0011 [1,1,1,0,0,1,1,0,0,0]=>[1,4,2,3,5]=>[1,4,2,3,5]=>0010 [1,1,1,0,1,0,0,0,1,0]=>[4,1,2,5,3]=>[5,4,1,2,3]=>0011 [1,1,1,0,1,0,0,1,0,0]=>[4,1,5,2,3]=>[5,1,2,4,3]=>0011 [1,1,1,0,1,0,1,0,0,0]=>[4,5,1,2,3]=>[5,1,4,2,3]=>0011 [1,1,1,0,1,1,0,0,0,0]=>[4,1,2,3,5]=>[4,1,2,3,5]=>0010 [1,1,1,1,0,0,0,0,1,0]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0001 [1,1,1,1,0,0,0,1,0,0]=>[1,2,5,3,4]=>[1,2,5,3,4]=>0001 [1,1,1,1,0,0,1,0,0,0]=>[1,5,2,3,4]=>[1,5,2,3,4]=>0001 [1,1,1,1,0,1,0,0,0,0]=>[5,1,2,3,4]=>[5,1,2,3,4]=>0001 [1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1]=>[6,5,4,3,2,1]=>11111 [1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,1,6]=>[5,4,3,2,1,6]=>11110 [1,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,6,5]=>[4,3,2,1,6,5]=>11101 [1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,6,1,5]=>[6,4,3,2,1,5]=>11101 [1,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,6]=>[4,3,2,1,5,6]=>11100 [1,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>11011 [1,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>11010 [1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,5,1,6,4]=>[6,5,3,2,1,4]=>11011 [1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,5,6,1,4]=>[6,3,2,1,5,4]=>11011 [1,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,5,1,4,6]=>[5,3,2,1,4,6]=>11010 [1,0,1,0,1,1,1,0,0,0,1,0]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>11001 [1,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,4,5]=>[3,2,1,6,4,5]=>11001 [1,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,6,1,4,5]=>[6,3,2,1,4,5]=>11001 [1,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>11000 [1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>10111 [1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>10110 [1,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>10101 [1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,6,3,5]=>[2,1,6,4,3,5]=>10101 [1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>10100 [1,0,1,1,0,1,0,0,1,0,1,0]=>[2,4,1,5,6,3]=>[6,5,4,2,1,3]=>10111 [1,0,1,1,0,1,0,0,1,1,0,0]=>[2,4,1,5,3,6]=>[5,4,2,1,3,6]=>10110 [1,0,1,1,0,1,0,1,0,0,1,0]=>[2,4,5,1,6,3]=>[6,5,2,1,4,3]=>10111 [1,0,1,1,0,1,0,1,0,1,0,0]=>[2,4,5,6,1,3]=>[6,2,1,5,4,3]=>10111 [1,0,1,1,0,1,0,1,1,0,0,0]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]=>10110 [1,0,1,1,0,1,1,0,0,0,1,0]=>[2,4,1,3,6,5]=>[4,2,1,3,6,5]=>10101 [1,0,1,1,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,5]=>[6,4,2,1,3,5]=>10101 [1,0,1,1,0,1,1,0,1,0,0,0]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]=>10101 [1,0,1,1,0,1,1,1,0,0,0,0]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]=>10100 [1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>10011 [1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>10010 [1,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,6,4]=>[2,1,6,5,3,4]=>10011 [1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,6,3,4]=>[2,1,6,3,5,4]=>10011 [1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,3,4,6]=>[2,1,5,3,4,6]=>10010 [1,0,1,1,1,0,1,0,0,0,1,0]=>[2,5,1,3,6,4]=>[6,5,2,1,3,4]=>10011 [1,0,1,1,1,0,1,0,0,1,0,0]=>[2,5,1,6,3,4]=>[6,2,1,3,5,4]=>10011 [1,0,1,1,1,0,1,0,1,0,0,0]=>[2,5,6,1,3,4]=>[6,2,1,5,3,4]=>10011 [1,0,1,1,1,0,1,1,0,0,0,0]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6]=>10010 [1,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>10001 [1,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,3,6,4,5]=>[2,1,3,6,4,5]=>10001 [1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,3,4,5]=>[2,1,6,3,4,5]=>10001 [1,0,1,1,1,1,0,1,0,0,0,0]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5]=>10001 [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,6,2]=>[1,6,5,4,3,2]=>01111 [1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,5,2,6]=>[1,5,4,3,2,6]=>01110 [1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>01101 [1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,6,2,5]=>[1,6,4,3,2,5]=>01101 [1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>01100 [1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>01011 [1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>01010 [1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,5,2,6,4]=>[1,6,5,3,2,4]=>01011 [1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]=>01011 [1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]=>01010 [1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>01001 [1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>01001 [1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]=>01001 [1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>01000 [1,1,0,1,0,0,1,0,1,0,1,0]=>[3,1,4,5,6,2]=>[6,5,4,3,1,2]=>01111 [1,1,0,1,0,0,1,0,1,1,0,0]=>[3,1,4,5,2,6]=>[5,4,3,1,2,6]=>01110 [1,1,0,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5]=>[4,3,1,2,6,5]=>01101 [1,1,0,1,0,0,1,1,0,1,0,0]=>[3,1,4,6,2,5]=>[6,4,3,1,2,5]=>01101 [1,1,0,1,0,0,1,1,1,0,0,0]=>[3,1,4,2,5,6]=>[4,3,1,2,5,6]=>01100 [1,1,0,1,0,1,0,0,1,0,1,0]=>[3,4,1,5,6,2]=>[6,5,4,1,3,2]=>01111 [1,1,0,1,0,1,0,0,1,1,0,0]=>[3,4,1,5,2,6]=>[5,4,1,3,2,6]=>01110 [1,1,0,1,0,1,0,1,0,0,1,0]=>[3,4,5,1,6,2]=>[6,5,1,4,3,2]=>01111 [1,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,1,2]=>[6,1,5,4,3,2]=>01111 [1,1,0,1,0,1,0,1,1,0,0,0]=>[3,4,5,1,2,6]=>[5,1,4,3,2,6]=>01110 [1,1,0,1,0,1,1,0,0,0,1,0]=>[3,4,1,2,6,5]=>[4,1,3,2,6,5]=>01101 [1,1,0,1,0,1,1,0,0,1,0,0]=>[3,4,1,6,2,5]=>[6,4,1,3,2,5]=>01101 [1,1,0,1,0,1,1,0,1,0,0,0]=>[3,4,6,1,2,5]=>[6,1,4,3,2,5]=>01101 [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]=>01100 [1,1,0,1,1,0,0,0,1,0,1,0]=>[3,1,2,5,6,4]=>[3,1,2,6,5,4]=>01011 [1,1,0,1,1,0,0,0,1,1,0,0]=>[3,1,2,5,4,6]=>[3,1,2,5,4,6]=>01010 [1,1,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,6,4]=>[6,5,3,1,2,4]=>01011 [1,1,0,1,1,0,0,1,0,1,0,0]=>[3,1,5,6,2,4]=>[6,3,1,2,5,4]=>01011 [1,1,0,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,4,6]=>[5,3,1,2,4,6]=>01010 [1,1,0,1,1,0,1,0,0,0,1,0]=>[3,5,1,2,6,4]=>[6,5,1,3,2,4]=>01011 [1,1,0,1,1,0,1,0,0,1,0,0]=>[3,5,1,6,2,4]=>[6,1,3,2,5,4]=>01011 [1,1,0,1,1,0,1,0,1,0,0,0]=>[3,5,6,1,2,4]=>[6,1,5,3,2,4]=>01011 [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6]=>01010 [1,1,0,1,1,1,0,0,0,0,1,0]=>[3,1,2,4,6,5]=>[3,1,2,4,6,5]=>01001 [1,1,0,1,1,1,0,0,0,1,0,0]=>[3,1,2,6,4,5]=>[3,1,2,6,4,5]=>01001 [1,1,0,1,1,1,0,0,1,0,0,0]=>[3,1,6,2,4,5]=>[6,3,1,2,4,5]=>01001 [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5]=>01001 [1,1,0,1,1,1,1,0,0,0,0,0]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]=>01000 [1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,4,5,6,3]=>[1,2,6,5,4,3]=>00111 [1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>00110 [1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>00101 [1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]=>00101 [1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>00100 [1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,2,5,6,3]=>[1,6,5,4,2,3]=>00111 [1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,5,3,6]=>[1,5,4,2,3,6]=>00110 [1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,5,2,6,3]=>[1,6,5,2,4,3]=>00111 [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,5,6,2,3]=>[1,6,2,5,4,3]=>00111 [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]=>00110 [1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>00101 [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,5]=>[1,6,4,2,3,5]=>00101 [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]=>00101 [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>00100 [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,1,2,5,6,3]=>[6,5,4,1,2,3]=>00111 [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,1,2,5,3,6]=>[5,4,1,2,3,6]=>00110 [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,1,5,2,6,3]=>[6,5,1,2,4,3]=>00111 [1,1,1,0,1,0,0,1,0,1,0,0]=>[4,1,5,6,2,3]=>[6,1,2,5,4,3]=>00111 [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,1,5,2,3,6]=>[5,1,2,4,3,6]=>00110 [1,1,1,0,1,0,1,0,0,0,1,0]=>[4,5,1,2,6,3]=>[6,5,1,4,2,3]=>00111 [1,1,1,0,1,0,1,0,0,1,0,0]=>[4,5,1,6,2,3]=>[6,1,5,4,2,3]=>00111 [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,5,6,1,2,3]=>[6,1,5,2,4,3]=>00111 [1,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,1,2,3,6]=>[5,1,4,2,3,6]=>00110 [1,1,1,0,1,1,0,0,0,0,1,0]=>[4,1,2,3,6,5]=>[4,1,2,3,6,5]=>00101 [1,1,1,0,1,1,0,0,0,1,0,0]=>[4,1,2,6,3,5]=>[6,4,1,2,3,5]=>00101 [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,3,5]=>[6,1,2,4,3,5]=>00101 [1,1,1,0,1,1,0,1,0,0,0,0]=>[4,6,1,2,3,5]=>[6,1,4,2,3,5]=>00101 [1,1,1,0,1,1,1,0,0,0,0,0]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]=>00100 [1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>00011 [1,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>00010 [1,1,1,1,0,0,0,1,0,0,1,0]=>[1,2,5,3,6,4]=>[1,2,6,5,3,4]=>00011 [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]=>00011 [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>00010 [1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,2,3,6,4]=>[1,6,5,2,3,4]=>00011 [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,2,6,3,4]=>[1,6,2,3,5,4]=>00011 [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,6,2,3,4]=>[1,6,2,5,3,4]=>00011 [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>00010 [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,1,2,3,6,4]=>[6,5,1,2,3,4]=>00011 [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,1,2,6,3,4]=>[6,1,2,3,5,4]=>00011 [1,1,1,1,0,1,0,0,1,0,0,0]=>[5,1,6,2,3,4]=>[6,1,2,5,3,4]=>00011 [1,1,1,1,0,1,0,1,0,0,0,0]=>[5,6,1,2,3,4]=>[6,1,5,2,3,4]=>00011 [1,1,1,1,0,1,1,0,0,0,0,0]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]=>00010 [1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>00001 [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>00001 [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>00001 [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>00001 [1,1,1,1,1,0,1,0,0,0,0,0]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]=>00001 [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,1]=>[7,6,5,4,3,2,1]=>111111 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,6,1,7]=>[6,5,4,3,2,1,7]=>111110 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6]=>[5,4,3,2,1,7,6]=>111101 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,4,5,7,1,6]=>[7,5,4,3,2,1,6]=>111101 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,4,5,1,6,7]=>[5,4,3,2,1,6,7]=>111100 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,7,5]=>[4,3,2,1,7,6,5]=>111011 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,7]=>[4,3,2,1,6,5,7]=>111010 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,4,6,1,7,5]=>[7,6,4,3,2,1,5]=>111011 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,4,6,7,1,5]=>[7,4,3,2,1,6,5]=>111011 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,4,6,1,5,7]=>[6,4,3,2,1,5,7]=>111010 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,5,7,6]=>[4,3,2,1,5,7,6]=>111001 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,5,6]=>[4,3,2,1,7,5,6]=>111001 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,4,7,1,5,6]=>[7,4,3,2,1,5,6]=>111001 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,5,6,7]=>[4,3,2,1,5,6,7]=>111000 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,6,7,4]=>[3,2,1,7,6,5,4]=>110111 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>110110 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>110101 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,7,4,6]=>[3,2,1,7,5,4,6]=>110101 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>110100 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,5,1,6,7,4]=>[7,6,5,3,2,1,4]=>110111 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,3,5,1,6,4,7]=>[6,5,3,2,1,4,7]=>110110 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,5,6,1,7,4]=>[7,6,3,2,1,5,4]=>110111 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,5,6,7,1,4]=>[7,3,2,1,6,5,4]=>110111 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,5,6,1,4,7]=>[6,3,2,1,5,4,7]=>110110 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[2,3,5,1,4,7,6]=>[5,3,2,1,4,7,6]=>110101 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,5,1,7,4,6]=>[7,5,3,2,1,4,6]=>110101 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,5,7,1,4,6]=>[7,3,2,1,5,4,6]=>110101 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,3,5,1,4,6,7]=>[5,3,2,1,4,6,7]=>110100 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>110011 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>110010 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,4,7,5]=>[3,2,1,7,6,4,5]=>110011 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,1,6,7,4,5]=>[3,2,1,7,4,6,5]=>110011 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,4,5,7]=>[3,2,1,6,4,5,7]=>110010 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,6,1,4,7,5]=>[7,6,3,2,1,4,5]=>110011 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,6,1,7,4,5]=>[7,3,2,1,4,6,5]=>110011 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,6,7,1,4,5]=>[7,3,2,1,6,4,5]=>110011 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,6,1,4,5,7]=>[6,3,2,1,4,5,7]=>110010 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>110001 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,4,7,5,6]=>[3,2,1,4,7,5,6]=>110001 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>110001 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,7,1,4,5,6]=>[7,3,2,1,4,5,6]=>110001 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>110000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,5,6,7,3]=>[2,1,7,6,5,4,3]=>101111 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,5,6,3,7]=>[2,1,6,5,4,3,7]=>101110 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>101101 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,5,7,3,6]=>[2,1,7,5,4,3,6]=>101101 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>101100 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>101011 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>101010 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,6,3,7,5]=>[2,1,7,6,4,3,5]=>101011 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,6,7,3,5]=>[2,1,7,4,3,6,5]=>101011 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,3,5,7]=>[2,1,6,4,3,5,7]=>101010 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>101001 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6]=>101001 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,7,3,5,6]=>[2,1,7,4,3,5,6]=>101001 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>101000 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,4,1,5,6,7,3]=>[7,6,5,4,2,1,3]=>101111 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,4,1,5,6,3,7]=>[6,5,4,2,1,3,7]=>101110 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,4,1,5,3,7,6]=>[5,4,2,1,3,7,6]=>101101 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,4,1,5,7,3,6]=>[7,5,4,2,1,3,6]=>101101 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[2,4,1,5,3,6,7]=>[5,4,2,1,3,6,7]=>101100 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,4,5,1,6,7,3]=>[7,6,5,2,1,4,3]=>101111 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,4,5,1,6,3,7]=>[6,5,2,1,4,3,7]=>101110 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,4,5,6,1,7,3]=>[7,6,2,1,5,4,3]=>101111 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,5,6,7,1,3]=>[7,2,1,6,5,4,3]=>101111 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,4,5,6,1,3,7]=>[6,2,1,5,4,3,7]=>101110 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[2,4,5,1,3,7,6]=>[5,2,1,4,3,7,6]=>101101 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,4,5,1,7,3,6]=>[7,5,2,1,4,3,6]=>101101 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,4,5,7,1,3,6]=>[7,2,1,5,4,3,6]=>101101 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,4,5,1,3,6,7]=>[5,2,1,4,3,6,7]=>101100 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,1,3,6,7,5]=>[4,2,1,3,7,6,5]=>101011 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>101010 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,1,6,3,7,5]=>[7,6,4,2,1,3,5]=>101011 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,1,6,7,3,5]=>[7,4,2,1,3,6,5]=>101011 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,1,6,3,5,7]=>[6,4,2,1,3,5,7]=>101010 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,6,1,3,7,5]=>[7,6,2,1,4,3,5]=>101011 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,6,1,7,3,5]=>[7,2,1,4,3,6,5]=>101011 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,6,7,1,3,5]=>[7,2,1,6,4,3,5]=>101011 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7]=>101010 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[2,4,1,3,5,7,6]=>[4,2,1,3,5,7,6]=>101001 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,4,1,3,7,5,6]=>[4,2,1,3,7,5,6]=>101001 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,4,1,7,3,5,6]=>[7,4,2,1,3,5,6]=>101001 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6]=>101001 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]=>101000 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,3,5,6,7,4]=>[2,1,3,7,6,5,4]=>100111 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>100110 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>100101 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,1,3,5,7,4,6]=>[2,1,3,7,5,4,6]=>100101 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>100100 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[2,1,5,3,6,7,4]=>[2,1,7,6,5,3,4]=>100111 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,3,6,4,7]=>[2,1,6,5,3,4,7]=>100110 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,5,6,3,7,4]=>[2,1,7,6,3,5,4]=>100111 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,6,7,3,4]=>[2,1,7,3,6,5,4]=>100111 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,6,3,4,7]=>[2,1,6,3,5,4,7]=>100110 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]=>100101 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,3,7,4,6]=>[2,1,7,5,3,4,6]=>100101 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,1,5,7,3,4,6]=>[2,1,7,3,5,4,6]=>100101 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]=>100100 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,5,1,3,6,7,4]=>[7,6,5,2,1,3,4]=>100111 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,5,1,3,6,4,7]=>[6,5,2,1,3,4,7]=>100110 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,5,1,6,3,7,4]=>[7,6,2,1,3,5,4]=>100111 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,5,1,6,7,3,4]=>[7,2,1,3,6,5,4]=>100111 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,5,1,6,3,4,7]=>[6,2,1,3,5,4,7]=>100110 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,5,6,1,3,7,4]=>[7,6,2,1,5,3,4]=>100111 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,5,6,1,7,3,4]=>[7,2,1,6,5,3,4]=>100111 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,5,6,7,1,3,4]=>[7,2,1,6,3,5,4]=>100111 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,5,6,1,3,4,7]=>[6,2,1,5,3,4,7]=>100110 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[2,5,1,3,4,7,6]=>[5,2,1,3,4,7,6]=>100101 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,5,1,3,7,4,6]=>[7,5,2,1,3,4,6]=>100101 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,5,1,7,3,4,6]=>[7,2,1,3,5,4,6]=>100101 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,5,7,1,3,4,6]=>[7,2,1,5,3,4,6]=>100101 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7]=>100100 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>100011 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>100010 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[2,1,3,6,4,7,5]=>[2,1,3,7,6,4,5]=>100011 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,3,6,7,4,5]=>[2,1,3,7,4,6,5]=>100011 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]=>100010 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,1,6,3,4,7,5]=>[2,1,7,6,3,4,5]=>100011 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,3,7,4,5]=>[2,1,7,3,4,6,5]=>100011 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,6,7,3,4,5]=>[2,1,7,3,6,4,5]=>100011 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>100010 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,6,1,3,4,7,5]=>[7,6,2,1,3,4,5]=>100011 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,6,1,3,7,4,5]=>[7,2,1,3,4,6,5]=>100011 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,6,1,7,3,4,5]=>[7,2,1,3,6,4,5]=>100011 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,6,7,1,3,4,5]=>[7,2,1,6,3,4,5]=>100011 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7]=>100010 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>100001 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>100001 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6]=>100001 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>100001 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>100001 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,6,7,2]=>[1,7,6,5,4,3,2]=>011111 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,4,5,6,2,7]=>[1,6,5,4,3,2,7]=>011110 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6]=>[1,5,4,3,2,7,6]=>011101 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,4,5,7,2,6]=>[1,7,5,4,3,2,6]=>011101 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,4,5,2,6,7]=>[1,5,4,3,2,6,7]=>011100 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>011011 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>011010 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,4,6,2,7,5]=>[1,7,6,4,3,2,5]=>011011 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,4,6,7,2,5]=>[1,7,4,3,2,6,5]=>011011 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,4,6,2,5,7]=>[1,6,4,3,2,5,7]=>011010 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>011001 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]=>011001 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,3,4,7,2,5,6]=>[1,7,4,3,2,5,6]=>011001 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>011000 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,6,7,4]=>[1,3,2,7,6,5,4]=>010111 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>010110 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>010101 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,7,4,6]=>[1,3,2,7,5,4,6]=>010101 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>010100 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,5,2,6,7,4]=>[1,7,6,5,3,2,4]=>010111 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,5,2,6,4,7]=>[1,6,5,3,2,4,7]=>010110 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,5,6,2,7,4]=>[1,7,6,3,2,5,4]=>010111 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,5,6,7,2,4]=>[1,7,3,2,6,5,4]=>010111 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]=>010110 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,2,4,7,6]=>[1,5,3,2,4,7,6]=>010101 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,2,7,4,6]=>[1,7,5,3,2,4,6]=>010101 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]=>010101 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]=>010100 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>010011 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>010010 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,4,7,5]=>[1,3,2,7,6,4,5]=>010011 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]=>010011 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>010010 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,6,2,4,7,5]=>[1,7,6,3,2,4,5]=>010011 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,6,2,7,4,5]=>[1,7,3,2,4,6,5]=>010011 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,6,7,2,4,5]=>[1,7,3,2,6,4,5]=>010011 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]=>010010 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>010001 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>010001 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>010001 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,7,2,4,5,6]=>[1,7,3,2,4,5,6]=>010001 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>010000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,1,4,5,6,7,2]=>[7,6,5,4,3,1,2]=>011111 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,1,4,5,6,2,7]=>[6,5,4,3,1,2,7]=>011110 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,1,4,5,2,7,6]=>[5,4,3,1,2,7,6]=>011101 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,1,4,5,7,2,6]=>[7,5,4,3,1,2,6]=>011101 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,1,4,5,2,6,7]=>[5,4,3,1,2,6,7]=>011100 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,1,4,2,6,7,5]=>[4,3,1,2,7,6,5]=>011011 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,1,4,2,6,5,7]=>[4,3,1,2,6,5,7]=>011010 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,1,4,6,2,7,5]=>[7,6,4,3,1,2,5]=>011011 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,1,4,6,7,2,5]=>[7,4,3,1,2,6,5]=>011011 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,1,4,6,2,5,7]=>[6,4,3,1,2,5,7]=>011010 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,1,4,2,5,7,6]=>[4,3,1,2,5,7,6]=>011001 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,1,4,2,7,5,6]=>[4,3,1,2,7,5,6]=>011001 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,1,4,7,2,5,6]=>[7,4,3,1,2,5,6]=>011001 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,1,4,2,5,6,7]=>[4,3,1,2,5,6,7]=>011000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,4,1,5,6,7,2]=>[7,6,5,4,1,3,2]=>011111 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,4,1,5,6,2,7]=>[6,5,4,1,3,2,7]=>011110 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[3,4,1,5,2,7,6]=>[5,4,1,3,2,7,6]=>011101 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,4,1,5,7,2,6]=>[7,5,4,1,3,2,6]=>011101 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,4,1,5,2,6,7]=>[5,4,1,3,2,6,7]=>011100 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,4,5,1,6,7,2]=>[7,6,5,1,4,3,2]=>011111 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[3,4,5,1,6,2,7]=>[6,5,1,4,3,2,7]=>011110 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,4,5,6,1,7,2]=>[7,6,1,5,4,3,2]=>011111 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,7,1,2]=>[7,1,6,5,4,3,2]=>011111 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,4,5,6,1,2,7]=>[6,1,5,4,3,2,7]=>011110 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,4,5,1,2,7,6]=>[5,1,4,3,2,7,6]=>011101 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,4,5,1,7,2,6]=>[7,5,1,4,3,2,6]=>011101 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,4,5,7,1,2,6]=>[7,1,5,4,3,2,6]=>011101 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,1,2,6,7]=>[5,1,4,3,2,6,7]=>011100 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[3,4,1,2,6,7,5]=>[4,1,3,2,7,6,5]=>011011 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,4,1,2,6,5,7]=>[4,1,3,2,6,5,7]=>011010 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,4,1,6,2,7,5]=>[7,6,4,1,3,2,5]=>011011 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[3,4,1,6,7,2,5]=>[7,4,1,3,2,6,5]=>011011 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,4,1,6,2,5,7]=>[6,4,1,3,2,5,7]=>011010 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[3,4,6,1,2,7,5]=>[7,6,1,4,3,2,5]=>011011 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,4,6,1,7,2,5]=>[7,1,4,3,2,6,5]=>011011 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,4,6,7,1,2,5]=>[7,1,6,4,3,2,5]=>011011 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,6,1,2,5,7]=>[6,1,4,3,2,5,7]=>011010 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[3,4,1,2,5,7,6]=>[4,1,3,2,5,7,6]=>011001 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,4,1,2,7,5,6]=>[4,1,3,2,7,5,6]=>011001 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,4,1,7,2,5,6]=>[7,4,1,3,2,5,6]=>011001 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,4,7,1,2,5,6]=>[7,1,4,3,2,5,6]=>011001 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]=>011000 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,1,2,5,6,7,4]=>[3,1,2,7,6,5,4]=>010111 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,1,2,5,6,4,7]=>[3,1,2,6,5,4,7]=>010110 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>010101 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,1,2,5,7,4,6]=>[3,1,2,7,5,4,6]=>010101 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7]=>010100 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[3,1,5,2,6,7,4]=>[7,6,5,3,1,2,4]=>010111 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,1,5,2,6,4,7]=>[6,5,3,1,2,4,7]=>010110 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[3,1,5,6,2,7,4]=>[7,6,3,1,2,5,4]=>010111 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,1,5,6,7,2,4]=>[7,3,1,2,6,5,4]=>010111 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,1,5,6,2,4,7]=>[6,3,1,2,5,4,7]=>010110 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,1,5,2,4,7,6]=>[5,3,1,2,4,7,6]=>010101 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,1,5,2,7,4,6]=>[7,5,3,1,2,4,6]=>010101 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,1,5,7,2,4,6]=>[7,3,1,2,5,4,6]=>010101 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[3,1,5,2,4,6,7]=>[5,3,1,2,4,6,7]=>010100 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,5,1,2,6,7,4]=>[7,6,5,1,3,2,4]=>010111 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,5,1,2,6,4,7]=>[6,5,1,3,2,4,7]=>010110 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,5,1,6,2,7,4]=>[7,6,1,3,2,5,4]=>010111 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,5,1,6,7,2,4]=>[7,1,3,2,6,5,4]=>010111 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[3,5,1,6,2,4,7]=>[6,1,3,2,5,4,7]=>010110 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,5,6,1,2,7,4]=>[7,6,1,5,3,2,4]=>010111 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,5,6,1,7,2,4]=>[7,1,6,5,3,2,4]=>010111 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,5,6,7,1,2,4]=>[7,1,6,3,2,5,4]=>010111 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,5,6,1,2,4,7]=>[6,1,5,3,2,4,7]=>010110 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,1,2,4,7,6]=>[5,1,3,2,4,7,6]=>010101 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,1,2,7,4,6]=>[7,5,1,3,2,4,6]=>010101 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,1,7,2,4,6]=>[7,1,3,2,5,4,6]=>010101 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,7,1,2,4,6]=>[7,1,5,3,2,4,6]=>010101 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7]=>010100 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[3,1,2,4,6,7,5]=>[3,1,2,4,7,6,5]=>010011 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7]=>010010 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,1,2,6,4,7,5]=>[3,1,2,7,6,4,5]=>010011 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,1,2,6,7,4,5]=>[3,1,2,7,4,6,5]=>010011 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]=>010010 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,1,6,2,4,7,5]=>[7,6,3,1,2,4,5]=>010011 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,1,6,2,7,4,5]=>[7,3,1,2,4,6,5]=>010011 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,1,6,7,2,4,5]=>[7,3,1,2,6,4,5]=>010011 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,1,6,2,4,5,7]=>[6,3,1,2,4,5,7]=>010010 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,6,1,2,4,7,5]=>[7,6,1,3,2,4,5]=>010011 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[3,6,1,2,7,4,5]=>[7,1,3,2,4,6,5]=>010011 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,6,1,7,2,4,5]=>[7,1,3,2,6,4,5]=>010011 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[3,6,7,1,2,4,5]=>[7,1,6,3,2,4,5]=>010011 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7]=>010010 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]=>010001 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]=>010001 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]=>010001 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,7,2,4,5,6]=>[7,3,1,2,4,5,6]=>010001 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6]=>010001 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>010000 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,5,6,7,3]=>[1,2,7,6,5,4,3]=>001111 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,5,6,3,7]=>[1,2,6,5,4,3,7]=>001110 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>001101 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,7,3,6]=>[1,2,7,5,4,3,6]=>001101 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>001100 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>001011 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>001010 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,6,3,7,5]=>[1,2,7,6,4,3,5]=>001011 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]=>001011 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]=>001010 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>001001 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>001001 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]=>001001 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>001000 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,2,5,6,7,3]=>[1,7,6,5,4,2,3]=>001111 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,4,2,5,6,3,7]=>[1,6,5,4,2,3,7]=>001110 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,2,5,3,7,6]=>[1,5,4,2,3,7,6]=>001101 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,2,5,7,3,6]=>[1,7,5,4,2,3,6]=>001101 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,2,5,3,6,7]=>[1,5,4,2,3,6,7]=>001100 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,5,2,6,7,3]=>[1,7,6,5,2,4,3]=>001111 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,4,5,2,6,3,7]=>[1,6,5,2,4,3,7]=>001110 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,4,5,6,2,7,3]=>[1,7,6,2,5,4,3]=>001111 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,5,6,7,2,3]=>[1,7,2,6,5,4,3]=>001111 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,5,6,2,3,7]=>[1,6,2,5,4,3,7]=>001110 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,5,2,3,7,6]=>[1,5,2,4,3,7,6]=>001101 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,4,5,2,7,3,6]=>[1,7,5,2,4,3,6]=>001101 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,5,7,2,3,6]=>[1,7,2,5,4,3,6]=>001101 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]=>001100 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,2,3,6,7,5]=>[1,4,2,3,7,6,5]=>001011 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>001010 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,2,6,3,7,5]=>[1,7,6,4,2,3,5]=>001011 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,2,6,7,3,5]=>[1,7,4,2,3,6,5]=>001011 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,2,6,3,5,7]=>[1,6,4,2,3,5,7]=>001010 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,4,6,2,3,7,5]=>[1,7,6,2,4,3,5]=>001011 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,6,2,7,3,5]=>[1,7,2,4,3,6,5]=>001011 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,6,7,2,3,5]=>[1,7,2,6,4,3,5]=>001011 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]=>001010 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>001001 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>001001 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,2,7,3,5,6]=>[1,7,4,2,3,5,6]=>001001 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]=>001001 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>001000 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,1,2,5,6,7,3]=>[7,6,5,4,1,2,3]=>001111 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,1,2,5,6,3,7]=>[6,5,4,1,2,3,7]=>001110 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,1,2,5,3,7,6]=>[5,4,1,2,3,7,6]=>001101 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,1,2,5,7,3,6]=>[7,5,4,1,2,3,6]=>001101 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,1,2,5,3,6,7]=>[5,4,1,2,3,6,7]=>001100 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,1,5,2,6,7,3]=>[7,6,5,1,2,4,3]=>001111 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,1,5,2,6,3,7]=>[6,5,1,2,4,3,7]=>001110 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,1,5,6,2,7,3]=>[7,6,1,2,5,4,3]=>001111 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,1,5,6,7,2,3]=>[7,1,2,6,5,4,3]=>001111 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[4,1,5,6,2,3,7]=>[6,1,2,5,4,3,7]=>001110 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,1,5,2,3,7,6]=>[5,1,2,4,3,7,6]=>001101 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,1,5,2,7,3,6]=>[7,5,1,2,4,3,6]=>001101 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,1,5,7,2,3,6]=>[7,1,2,5,4,3,6]=>001101 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,1,5,2,3,6,7]=>[5,1,2,4,3,6,7]=>001100 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[4,5,1,2,6,7,3]=>[7,6,5,1,4,2,3]=>001111 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[4,5,1,2,6,3,7]=>[6,5,1,4,2,3,7]=>001110 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[4,5,1,6,2,7,3]=>[7,6,1,5,4,2,3]=>001111 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[4,5,1,6,7,2,3]=>[7,1,6,5,4,2,3]=>001111 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[4,5,1,6,2,3,7]=>[6,1,5,4,2,3,7]=>001110 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,5,6,1,2,7,3]=>[7,6,1,5,2,4,3]=>001111 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[4,5,6,1,7,2,3]=>[7,1,6,5,2,4,3]=>001111 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,5,6,7,1,2,3]=>[7,1,6,2,5,4,3]=>001111 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>[6,1,5,2,4,3,7]=>001110 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,5,1,2,3,7,6]=>[5,1,4,2,3,7,6]=>001101 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[4,5,1,2,7,3,6]=>[7,5,1,4,2,3,6]=>001101 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[4,5,1,7,2,3,6]=>[7,1,5,4,2,3,6]=>001101 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,5,7,1,2,3,6]=>[7,1,5,2,4,3,6]=>001101 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,1,2,3,6,7]=>[5,1,4,2,3,6,7]=>001100 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[4,1,2,3,6,7,5]=>[4,1,2,3,7,6,5]=>001011 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7]=>001010 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,1,2,6,3,7,5]=>[7,6,4,1,2,3,5]=>001011 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[4,1,2,6,7,3,5]=>[7,4,1,2,3,6,5]=>001011 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[4,1,2,6,3,5,7]=>[6,4,1,2,3,5,7]=>001010 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,1,6,2,3,7,5]=>[7,6,1,2,4,3,5]=>001011 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[4,1,6,2,7,3,5]=>[7,1,2,4,3,6,5]=>001011 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[4,1,6,7,2,3,5]=>[7,1,2,6,4,3,5]=>001011 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,1,6,2,3,5,7]=>[6,1,2,4,3,5,7]=>001010 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[4,6,1,2,3,7,5]=>[7,6,1,4,2,3,5]=>001011 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[4,6,1,2,7,3,5]=>[7,1,4,2,3,6,5]=>001011 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[4,6,1,7,2,3,5]=>[7,1,6,4,2,3,5]=>001011 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,6,7,1,2,3,5]=>[7,1,6,2,4,3,5]=>001011 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,6,1,2,3,5,7]=>[6,1,4,2,3,5,7]=>001010 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]=>001001 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6]=>001001 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,7,3,5,6]=>[7,4,1,2,3,5,6]=>001001 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,1,7,2,3,5,6]=>[7,1,2,4,3,5,6]=>001001 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,7,1,2,3,5,6]=>[7,1,4,2,3,5,6]=>001001 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>001000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,2,3,5,6,7,4]=>[1,2,3,7,6,5,4]=>000111 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>000110 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>000101 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]=>000101 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>000100 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,2,5,3,6,7,4]=>[1,2,7,6,5,3,4]=>000111 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,2,5,3,6,4,7]=>[1,2,6,5,3,4,7]=>000110 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,2,5,6,3,7,4]=>[1,2,7,6,3,5,4]=>000111 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,2,5,6,7,3,4]=>[1,2,7,3,6,5,4]=>000111 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]=>000110 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>000101 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,2,5,3,7,4,6]=>[1,2,7,5,3,4,6]=>000101 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]=>000101 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>000100 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,2,3,6,7,4]=>[1,7,6,5,2,3,4]=>000111 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,5,2,3,6,4,7]=>[1,6,5,2,3,4,7]=>000110 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,2,6,3,7,4]=>[1,7,6,2,3,5,4]=>000111 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,2,6,7,3,4]=>[1,7,2,3,6,5,4]=>000111 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,2,6,3,4,7]=>[1,6,2,3,5,4,7]=>000110 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,5,6,2,3,7,4]=>[1,7,6,2,5,3,4]=>000111 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,6,2,7,3,4]=>[1,7,2,6,5,3,4]=>000111 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,5,6,7,2,3,4]=>[1,7,2,6,3,5,4]=>000111 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,5,6,2,3,4,7]=>[1,6,2,5,3,4,7]=>000110 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>000101 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,2,3,7,4,6]=>[1,7,5,2,3,4,6]=>000101 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,5,2,7,3,4,6]=>[1,7,2,3,5,4,6]=>000101 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,5,7,2,3,4,6]=>[1,7,2,5,3,4,6]=>000101 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>000100 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,1,2,3,6,7,4]=>[7,6,5,1,2,3,4]=>000111 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,1,2,3,6,4,7]=>[6,5,1,2,3,4,7]=>000110 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,1,2,6,3,7,4]=>[7,6,1,2,3,5,4]=>000111 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[5,1,2,6,7,3,4]=>[7,1,2,3,6,5,4]=>000111 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,1,2,6,3,4,7]=>[6,1,2,3,5,4,7]=>000110 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[5,1,6,2,3,7,4]=>[7,6,1,2,5,3,4]=>000111 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[5,1,6,2,7,3,4]=>[7,1,2,6,5,3,4]=>000111 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[5,1,6,7,2,3,4]=>[7,1,2,6,3,5,4]=>000111 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[5,1,6,2,3,4,7]=>[6,1,2,5,3,4,7]=>000110 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[5,6,1,2,3,7,4]=>[7,6,1,5,2,3,4]=>000111 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[5,6,1,2,7,3,4]=>[7,1,6,5,2,3,4]=>000111 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[5,6,1,7,2,3,4]=>[7,1,6,2,3,5,4]=>000111 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,6,7,1,2,3,4]=>[7,1,6,2,5,3,4]=>000111 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[5,6,1,2,3,4,7]=>[6,1,5,2,3,4,7]=>000110 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]=>000101 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,7,4,6]=>[7,5,1,2,3,4,6]=>000101 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,1,2,7,3,4,6]=>[7,1,2,3,5,4,6]=>000101 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[5,1,7,2,3,4,6]=>[7,1,2,5,3,4,6]=>000101 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[5,7,1,2,3,4,6]=>[7,1,5,2,3,4,6]=>000101 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]=>000100 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>000011 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>000010 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,2,3,6,4,7,5]=>[1,2,3,7,6,4,5]=>000011 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]=>000011 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>000010 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,2,6,3,4,7,5]=>[1,2,7,6,3,4,5]=>000011 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,2,6,3,7,4,5]=>[1,2,7,3,4,6,5]=>000011 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,2,6,7,3,4,5]=>[1,2,7,3,6,4,5]=>000011 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>000010 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,6,2,3,4,7,5]=>[1,7,6,2,3,4,5]=>000011 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,2,3,7,4,5]=>[1,7,2,3,4,6,5]=>000011 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,6,2,7,3,4,5]=>[1,7,2,3,6,4,5]=>000011 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,6,7,2,3,4,5]=>[1,7,2,6,3,4,5]=>000011 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>000010 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,7,5]=>[7,6,1,2,3,4,5]=>000011 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,1,2,3,7,4,5]=>[7,1,2,3,4,6,5]=>000011 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[6,1,2,7,3,4,5]=>[7,1,2,3,6,4,5]=>000011 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[6,1,7,2,3,4,5]=>[7,1,2,6,3,4,5]=>000011 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[6,7,1,2,3,4,5]=>[7,1,6,2,3,4,5]=>000011 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>000010 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>000001 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>000001 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>000001 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>000001 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>000001 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>000001 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,8,1]=>[8,7,6,5,4,3,2,1]=>1111111 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,4,5,6,1,8,7]=>[6,5,4,3,2,1,8,7]=>1111101 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1111000 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,6,7,8,5]=>[4,3,2,1,8,7,6,5]=>1110111 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>1110110 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>1110101 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,8,5,7]=>[4,3,2,1,8,6,5,7]=>1110101 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>1110100 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,4,6,7,8,1,5]=>[8,4,3,2,1,7,6,5]=>1110111 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,1,8,5,7]=>[8,6,4,3,2,1,5,7]=>1110101 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,4,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>1110011 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,4,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>1110010 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,4,1,7,5,8,6]=>[4,3,2,1,8,7,5,6]=>1110011 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,3,4,1,7,8,5,6]=>[4,3,2,1,8,5,7,6]=>1110011 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,4,1,7,5,6,8]=>[4,3,2,1,7,5,6,8]=>1110010 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[2,3,4,7,1,5,8,6]=>[8,7,4,3,2,1,5,6]=>1110011 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,4,7,8,1,5,6]=>[8,4,3,2,1,7,5,6]=>1110011 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,4,7,1,5,6,8]=>[7,4,3,2,1,5,6,8]=>1110010 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[2,3,4,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>1110001 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,4,1,5,8,6,7]=>[4,3,2,1,5,8,6,7]=>1110001 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,4,1,8,5,6,7]=>[4,3,2,1,8,5,6,7]=>1110001 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,4,8,1,5,6,7]=>[8,4,3,2,1,5,6,7]=>1110001 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1110000 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,5,6,7,8,4]=>[3,2,1,8,7,6,5,4]=>1101111 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>1101010 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,5,1,6,7,8,4]=>[8,7,6,5,3,2,1,4]=>1101111 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,5,1,6,4,8,7]=>[6,5,3,2,1,4,8,7]=>1101101 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,5,6,7,1,8,4]=>[8,7,3,2,1,6,5,4]=>1101111 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,5,6,7,8,1,4]=>[8,3,2,1,7,6,5,4]=>1101111 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,8,1,4,7]=>[8,3,2,1,6,5,4,7]=>1101101 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,5,6,1,4,7,8]=>[6,3,2,1,5,4,7,8]=>1101100 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,1,7,4,8,6]=>[8,7,5,3,2,1,4,6]=>1101011 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,7,1,8,4,6]=>[8,3,2,1,5,4,7,6]=>1101011 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,5,1,4,8,6,7]=>[5,3,2,1,4,8,6,7]=>1101001 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,5,8,1,4,6,7]=>[8,3,2,1,5,4,6,7]=>1101001 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,7,6,5]=>1100111 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>1100110 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,1,6,7,8,4,5]=>[3,2,1,8,4,7,6,5]=>1100111 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,1,6,4,8,5,7]=>[3,2,1,8,6,4,5,7]=>1100101 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,1,6,8,4,5,7]=>[3,2,1,8,4,6,5,7]=>1100101 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,6,1,4,7,8,5]=>[8,7,6,3,2,1,4,5]=>1100111 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,6,1,4,7,5,8]=>[7,6,3,2,1,4,5,8]=>1100110 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,6,1,7,8,4,5]=>[8,3,2,1,4,7,6,5]=>1100111 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,6,7,1,4,8,5]=>[8,7,3,2,1,6,4,5]=>1100111 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,6,7,1,8,4,5]=>[8,3,2,1,7,6,4,5]=>1100111 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,6,7,8,1,4,5]=>[8,3,2,1,7,4,6,5]=>1100111 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,6,7,1,4,5,8]=>[7,3,2,1,6,4,5,8]=>1100110 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,6,1,4,8,5,7]=>[8,6,3,2,1,4,5,7]=>1100101 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,6,1,8,4,5,7]=>[8,3,2,1,4,6,5,7]=>1100101 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,6,8,1,4,5,7]=>[8,3,2,1,6,4,5,7]=>1100101 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>1100011 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,1,4,7,8,5,6]=>[3,2,1,4,8,5,7,6]=>1100011 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,1,7,4,5,8,6]=>[3,2,1,8,7,4,5,6]=>1100011 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,1,7,4,8,5,6]=>[3,2,1,8,4,5,7,6]=>1100011 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,1,7,8,4,5,6]=>[3,2,1,8,4,7,5,6]=>1100011 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,7,1,4,5,8,6]=>[8,7,3,2,1,4,5,6]=>1100011 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,3,7,8,1,4,5,6]=>[8,3,2,1,7,4,5,6]=>1100011 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,1,4,8,5,6,7]=>[3,2,1,4,8,5,6,7]=>1100001 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,1,8,4,5,6,7]=>[3,2,1,8,4,5,6,7]=>1100001 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,8,1,4,5,6,7]=>[8,3,2,1,4,5,6,7]=>1100001 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>1100000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,5,6,7,8,3]=>[2,1,8,7,6,5,4,3]=>1011111 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,4,5,6,3,8,7]=>[2,1,6,5,4,3,8,7]=>1011101 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,7,3,8,6]=>[2,1,8,7,5,4,3,6]=>1011011 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>1011001 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,4,5,8,3,6,7]=>[2,1,8,5,4,3,6,7]=>1011001 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,7,6,5]=>1010111 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>1010101 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,8,5,7]=>[2,1,4,3,8,6,5,7]=>1010101 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>1010100 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,6,3,7,8,5]=>[2,1,8,7,6,4,3,5]=>1010111 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,3,5,8,7]=>[2,1,6,4,3,5,8,7]=>1010101 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,3,8,5,7]=>[2,1,8,6,4,3,5,7]=>1010101 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,4,3,7,5,8,6]=>[2,1,4,3,8,7,5,6]=>1010011 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,5,7,6]=>1010011 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>1010001 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,5,6,7]=>1010001 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>1010000 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,4,1,5,6,7,8,3]=>[8,7,6,5,4,2,1,3]=>1011111 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,4,1,5,6,3,8,7]=>[6,5,4,2,1,3,8,7]=>1011101 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,4,1,5,3,7,8,6]=>[5,4,2,1,3,8,7,6]=>1011011 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,4,1,5,8,3,6,7]=>[8,5,4,2,1,3,6,7]=>1011001 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,4,5,6,1,8,3,7]=>[8,6,2,1,5,4,3,7]=>1011101 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,4,5,6,1,3,7,8]=>[6,2,1,5,4,3,7,8]=>1011100 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,5,1,3,7,8,6]=>[5,2,1,4,3,8,7,6]=>1011011 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,7,8,1,3,6]=>[8,2,1,7,5,4,3,6]=>1011011 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,1,3,6,7,8,5]=>[4,2,1,3,8,7,6,5]=>1010111 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,1,3,6,5,8,7]=>[4,2,1,3,6,5,8,7]=>1010101 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,1,3,6,8,5,7]=>[4,2,1,3,8,6,5,7]=>1010101 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,1,3,6,5,7,8]=>[4,2,1,3,6,5,7,8]=>1010100 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,1,6,3,7,8,5]=>[8,7,6,4,2,1,3,5]=>1010111 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,1,6,3,7,5,8]=>[7,6,4,2,1,3,5,8]=>1010110 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,1,6,7,3,8,5]=>[8,7,4,2,1,3,6,5]=>1010111 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,1,6,7,8,3,5]=>[8,4,2,1,3,7,6,5]=>1010111 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,1,6,3,5,8,7]=>[6,4,2,1,3,5,8,7]=>1010101 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,1,6,3,8,5,7]=>[8,6,4,2,1,3,5,7]=>1010101 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,1,6,8,3,5,7]=>[8,4,2,1,3,6,5,7]=>1010101 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,6,1,3,7,8,5]=>[8,7,6,2,1,4,3,5]=>1010111 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,6,1,7,3,8,5]=>[8,7,2,1,4,3,6,5]=>1010111 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,1,3,8,5,7]=>[8,6,2,1,4,3,5,7]=>1010101 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,1,8,3,5,7]=>[8,2,1,4,3,6,5,7]=>1010101 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,8,1,3,5,7]=>[8,2,1,6,4,3,5,7]=>1010101 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,4,1,3,5,7,8,6]=>[4,2,1,3,5,8,7,6]=>1010011 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,4,1,3,7,5,8,6]=>[4,2,1,3,8,7,5,6]=>1010011 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,4,1,3,7,8,5,6]=>[4,2,1,3,8,5,7,6]=>1010011 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,4,1,7,3,8,5,6]=>[8,4,2,1,3,5,7,6]=>1010011 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,4,7,1,3,8,5,6]=>[8,2,1,4,3,5,7,6]=>1010011 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,4,1,3,8,5,6,7]=>[4,2,1,3,8,5,6,7]=>1010001 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,4,1,8,3,5,6,7]=>[8,4,2,1,3,5,6,7]=>1010001 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,4,1,3,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>1010000 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>1001001 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,1,5,3,6,7,8,4]=>[2,1,8,7,6,5,3,4]=>1001111 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,1,5,3,6,4,8,7]=>[2,1,6,5,3,4,8,7]=>1001101 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,1,5,6,3,7,8,4]=>[2,1,8,7,6,3,5,4]=>1001111 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,1,5,6,7,8,3,4]=>[2,1,8,3,7,6,5,4]=>1001111 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,1,5,6,3,4,8,7]=>[2,1,6,3,5,4,8,7]=>1001101 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,1,5,3,7,4,8,6]=>[2,1,8,7,5,3,4,6]=>1001011 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,1,5,7,3,4,8,6]=>[2,1,8,7,3,5,4,6]=>1001011 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,1,5,7,3,8,4,6]=>[2,1,8,3,5,4,7,6]=>1001011 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[2,1,5,7,8,3,4,6]=>[2,1,8,3,7,5,4,6]=>1001011 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,1,5,3,4,6,8,7]=>[2,1,5,3,4,6,8,7]=>1001001 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[2,1,5,3,8,4,6,7]=>[2,1,8,5,3,4,6,7]=>1001001 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,5,1,3,6,7,8,4]=>[8,7,6,5,2,1,3,4]=>1001111 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,5,1,3,6,8,4,7]=>[8,6,5,2,1,3,4,7]=>1001101 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,5,1,6,7,3,8,4]=>[8,7,2,1,3,6,5,4]=>1001111 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,5,1,6,7,8,3,4]=>[8,2,1,3,7,6,5,4]=>1001111 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,5,1,6,8,3,4,7]=>[8,2,1,3,6,5,4,7]=>1001101 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,5,1,3,7,4,8,6]=>[8,7,5,2,1,3,4,6]=>1001011 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,5,1,7,3,4,8,6]=>[8,7,2,1,3,5,4,6]=>1001011 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,5,1,3,4,6,7,8]=>[5,2,1,3,4,6,7,8]=>1001000 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,7,6,5]=>1000111 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>1000101 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>1000100 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,1,3,6,7,4,8,5]=>[2,1,3,8,7,4,6,5]=>1000111 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[2,1,6,3,4,7,8,5]=>[2,1,8,7,6,3,4,5]=>1000111 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,1,6,3,7,4,8,5]=>[2,1,8,7,3,4,6,5]=>1000111 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,1,6,3,7,8,4,5]=>[2,1,8,3,4,7,6,5]=>1000111 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,1,6,7,3,8,4,5]=>[2,1,8,3,7,6,4,5]=>1000111 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,1,6,7,8,3,4,5]=>[2,1,8,3,7,4,6,5]=>1000111 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[2,1,6,3,4,5,8,7]=>[2,1,6,3,4,5,8,7]=>1000101 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[2,6,1,3,7,4,8,5]=>[8,7,2,1,3,4,6,5]=>1000111 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[2,6,7,1,3,4,8,5]=>[8,7,2,1,6,3,4,5]=>1000111 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,1,3,4,7,8,5,6]=>[2,1,3,4,8,5,7,6]=>1000011 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,1,3,7,4,8,5,6]=>[2,1,3,8,4,5,7,6]=>1000011 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,1,7,3,4,5,8,6]=>[2,1,8,7,3,4,5,6]=>1000011 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[2,1,7,8,3,4,5,6]=>[2,1,8,3,7,4,5,6]=>1000011 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,7,8,1,3,4,5,6]=>[8,2,1,7,3,4,5,6]=>1000011 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>1000001 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,8,5,6,7]=>1000001 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,1,3,8,4,5,6,7]=>[2,1,3,8,4,5,6,7]=>1000001 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,1,8,3,4,5,6,7]=>[2,1,8,3,4,5,6,7]=>1000001 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>1000000 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,4,5,7,2,8,6]=>[1,8,7,5,4,3,2,6]=>0111011 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,7,8,2,6]=>[1,8,5,4,3,2,7,6]=>0111011 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,7,6,5]=>0110111 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>0110110 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>0110011 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>0110010 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,4,7,2,5,8,6]=>[1,8,7,4,3,2,5,6]=>0110011 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>0110001 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]=>0110001 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,5,6,7]=>0110001 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,4,8,2,5,6,7]=>[1,8,4,3,2,5,6,7]=>0110001 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>0110000 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>0101011 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>0101010 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,4,6,8]=>[1,3,2,7,5,4,6,8]=>0101010 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>0101001 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,5,8,4,6,7]=>[1,3,2,8,5,4,6,7]=>0101001 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0101000 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,5,2,6,4,7,8]=>[1,6,5,3,2,4,7,8]=>0101100 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,5,6,2,7,8,4]=>[1,8,7,6,3,2,5,4]=>0101111 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,5,6,7,8,2,4]=>[1,8,3,2,7,6,5,4]=>0101111 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,2,4,7,8,6]=>[1,5,3,2,4,8,7,6]=>0101011 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,2,4,7,6,8]=>[1,5,3,2,4,7,6,8]=>0101010 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,2,7,4,8,6]=>[1,8,7,5,3,2,4,6]=>0101011 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,2,7,8,4,6]=>[1,8,5,3,2,4,7,6]=>0101011 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,2,7,4,6,8]=>[1,7,5,3,2,4,6,8]=>0101010 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,7,2,4,8,6]=>[1,8,7,3,2,5,4,6]=>0101011 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,7,2,8,4,6]=>[1,8,3,2,5,4,7,6]=>0101011 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,7,8,2,4,6]=>[1,8,3,2,7,5,4,6]=>0101011 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]=>0101010 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]=>0101001 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,5,2,4,8,6,7]=>[1,5,3,2,4,8,6,7]=>0101001 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,5,2,8,4,6,7]=>[1,8,5,3,2,4,6,7]=>0101001 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,5,8,2,4,6,7]=>[1,8,3,2,5,4,6,7]=>0101001 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]=>0101000 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,7,6,5]=>0100111 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>0100101 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,2,4,6,8,5,7]=>[1,3,2,4,8,6,5,7]=>0100101 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>0100100 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,2,6,4,7,8,5]=>[1,3,2,8,7,6,4,5]=>0100111 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]=>0100110 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>0100100 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,6,2,4,7,8,5]=>[1,8,7,6,3,2,4,5]=>0100111 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,3,6,2,4,7,5,8]=>[1,7,6,3,2,4,5,8]=>0100110 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,6,2,7,4,8,5]=>[1,8,7,3,2,4,6,5]=>0100111 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,6,7,2,4,8,5]=>[1,8,7,3,2,6,4,5]=>0100111 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,6,2,4,8,5,7]=>[1,8,6,3,2,4,5,7]=>0100101 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,6,2,4,5,7,8]=>[1,6,3,2,4,5,7,8]=>0100100 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>0100010 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]=>0100011 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>0100010 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,3,7,2,4,5,8,6]=>[1,8,7,3,2,4,5,6]=>0100011 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>0100001 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7]=>0100001 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>0100001 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,8,2,4,5,6,7]=>[1,8,3,2,4,5,6,7]=>0100001 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0100000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,1,4,5,6,7,8,2]=>[8,7,6,5,4,3,1,2]=>0111111 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,1,4,5,6,2,8,7]=>[6,5,4,3,1,2,8,7]=>0111101 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,1,4,5,2,7,8,6]=>[5,4,3,1,2,8,7,6]=>0111011 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,1,4,5,2,7,6,8]=>[5,4,3,1,2,7,6,8]=>0111010 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,1,4,2,6,7,8,5]=>[4,3,1,2,8,7,6,5]=>0110111 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,1,4,2,6,5,8,7]=>[4,3,1,2,6,5,8,7]=>0110101 [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[3,1,4,2,6,8,5,7]=>[4,3,1,2,8,6,5,7]=>0110101 [1,1,0,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,1,4,2,6,5,7,8]=>[4,3,1,2,6,5,7,8]=>0110100 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,1,4,6,7,8,2,5]=>[8,4,3,1,2,7,6,5]=>0110111 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,1,4,6,8,2,5,7]=>[8,4,3,1,2,6,5,7]=>0110101 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,1,4,2,5,7,8,6]=>[4,3,1,2,5,8,7,6]=>0110011 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,1,4,2,7,5,8,6]=>[4,3,1,2,8,7,5,6]=>0110011 [1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,1,4,2,7,8,5,6]=>[4,3,1,2,8,5,7,6]=>0110011 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,1,4,2,8,5,6,7]=>[4,3,1,2,8,5,6,7]=>0110001 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,1,4,2,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>0110000 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,4,1,5,6,7,2,8]=>[7,6,5,4,1,3,2,8]=>0111110 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,4,1,5,6,8,2,7]=>[8,6,5,4,1,3,2,7]=>0111101 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,4,1,5,7,2,8,6]=>[8,7,5,4,1,3,2,6]=>0111011 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,4,1,5,7,2,6,8]=>[7,5,4,1,3,2,6,8]=>0111010 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,4,1,5,2,8,6,7]=>[5,4,1,3,2,8,6,7]=>0111001 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,4,5,1,6,7,8,2]=>[8,7,6,5,1,4,3,2]=>0111111 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,4,5,6,1,7,8,2]=>[8,7,6,1,5,4,3,2]=>0111111 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,5,6,7,8,1,2]=>[8,1,7,6,5,4,3,2]=>0111111 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,4,5,6,1,2,8,7]=>[6,1,5,4,3,2,8,7]=>0111101 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,4,5,6,1,8,2,7]=>[8,6,1,5,4,3,2,7]=>0111101 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,4,5,6,8,1,2,7]=>[8,1,6,5,4,3,2,7]=>0111101 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,4,5,8,1,2,6,7]=>[8,1,5,4,3,2,6,7]=>0111001 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,4,1,2,6,7,8,5]=>[4,1,3,2,8,7,6,5]=>0110111 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,4,1,2,6,5,8,7]=>[4,1,3,2,6,5,8,7]=>0110101 [1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,4,1,2,6,8,5,7]=>[4,1,3,2,8,6,5,7]=>0110101 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,4,1,6,8,2,5,7]=>[8,4,1,3,2,6,5,7]=>0110101 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,6,1,2,7,8,5]=>[8,7,6,1,4,3,2,5]=>0110111 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,6,1,2,7,5,8]=>[7,6,1,4,3,2,5,8]=>0110110 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,6,1,7,8,2,5]=>[8,1,4,3,2,7,6,5]=>0110111 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,6,7,1,8,2,5]=>[8,1,7,6,4,3,2,5]=>0110111 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,6,7,8,1,2,5]=>[8,1,7,4,3,2,6,5]=>0110111 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[3,4,1,2,7,8,5,6]=>[4,1,3,2,8,5,7,6]=>0110011 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,4,7,1,8,2,5,6]=>[8,1,4,3,2,7,5,6]=>0110011 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,4,1,2,8,5,6,7]=>[4,1,3,2,8,5,6,7]=>0110001 [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,4,1,8,2,5,6,7]=>[8,4,1,3,2,5,6,7]=>0110001 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,4,8,1,2,5,6,7]=>[8,1,4,3,2,5,6,7]=>0110001 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>0110000 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,1,2,5,6,7,8,4]=>[3,1,2,8,7,6,5,4]=>0101111 [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,1,2,5,6,8,4,7]=>[3,1,2,8,6,5,4,7]=>0101101 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,1,2,5,4,7,6,8]=>[3,1,2,5,4,7,6,8]=>0101010 [1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,1,2,5,7,4,8,6]=>[3,1,2,8,7,5,4,6]=>0101011 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,1,2,5,7,4,6,8]=>[3,1,2,7,5,4,6,8]=>0101010 [1,1,0,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,1,2,5,4,6,8,7]=>[3,1,2,5,4,6,8,7]=>0101001 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,1,5,2,6,7,8,4]=>[8,7,6,5,3,1,2,4]=>0101111 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,1,5,2,6,4,8,7]=>[6,5,3,1,2,4,8,7]=>0101101 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,1,5,6,7,8,2,4]=>[8,3,1,2,7,6,5,4]=>0101111 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,1,5,6,8,2,4,7]=>[8,3,1,2,6,5,4,7]=>0101101 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,1,5,2,4,7,6,8]=>[5,3,1,2,4,7,6,8]=>0101010 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,1,5,2,7,4,8,6]=>[8,7,5,3,1,2,4,6]=>0101011 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,1,5,2,7,4,6,8]=>[7,5,3,1,2,4,6,8]=>0101010 [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,1,5,7,2,8,4,6]=>[8,3,1,2,5,4,7,6]=>0101011 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,1,5,7,2,4,6,8]=>[7,3,1,2,5,4,6,8]=>0101010 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,1,5,2,4,8,6,7]=>[5,3,1,2,4,8,6,7]=>0101001 [1,1,0,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,1,5,2,8,4,6,7]=>[8,5,3,1,2,4,6,7]=>0101001 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,1,5,8,2,4,6,7]=>[8,3,1,2,5,4,6,7]=>0101001 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,5,1,2,6,7,8,4]=>[8,7,6,5,1,3,2,4]=>0101111 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,5,1,2,6,8,4,7]=>[8,6,5,1,3,2,4,7]=>0101101 [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,5,1,6,2,7,8,4]=>[8,7,6,1,3,2,5,4]=>0101111 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,5,1,6,7,8,2,4]=>[8,1,3,2,7,6,5,4]=>0101111 [1,1,0,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,5,1,6,2,4,8,7]=>[6,1,3,2,5,4,8,7]=>0101101 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,5,1,6,8,2,4,7]=>[8,1,3,2,6,5,4,7]=>0101101 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,5,6,1,2,7,8,4]=>[8,7,6,1,5,3,2,4]=>0101111 [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,5,6,1,7,2,8,4]=>[8,7,1,6,5,3,2,4]=>0101111 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,5,6,1,7,8,2,4]=>[8,1,7,6,5,3,2,4]=>0101111 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,5,6,1,7,2,4,8]=>[7,1,6,5,3,2,4,8]=>0101110 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,5,6,7,8,1,2,4]=>[8,1,7,3,2,6,5,4]=>0101111 [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,5,6,1,2,8,4,7]=>[8,6,1,5,3,2,4,7]=>0101101 [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,1,2,4,7,8,6]=>[5,1,3,2,4,8,7,6]=>0101011 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,1,2,4,7,6,8]=>[5,1,3,2,4,7,6,8]=>0101010 [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,1,2,7,8,4,6]=>[8,5,1,3,2,4,7,6]=>0101011 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,1,2,7,4,6,8]=>[7,5,1,3,2,4,6,8]=>0101010 [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,1,7,2,4,8,6]=>[8,7,1,3,2,5,4,6]=>0101011 [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,1,7,2,8,4,6]=>[8,1,3,2,5,4,7,6]=>0101011 [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,1,7,8,2,4,6]=>[8,1,3,2,7,5,4,6]=>0101011 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,1,7,2,4,6,8]=>[7,1,3,2,5,4,6,8]=>0101010 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,1,2,4,6,8]=>[7,1,5,3,2,4,6,8]=>0101010 [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,5,1,2,4,6,8,7]=>[5,1,3,2,4,6,8,7]=>0101001 [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,5,1,2,4,8,6,7]=>[5,1,3,2,4,8,6,7]=>0101001 [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,5,1,2,8,4,6,7]=>[8,5,1,3,2,4,6,7]=>0101001 [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,5,1,8,2,4,6,7]=>[8,1,3,2,5,4,6,7]=>0101001 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,5,1,2,4,6,7,8]=>[5,1,3,2,4,6,7,8]=>0101000 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,1,2,4,6,7,8,5]=>[3,1,2,4,8,7,6,5]=>0100111 [1,1,0,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,1,2,4,6,8,5,7]=>[3,1,2,4,8,6,5,7]=>0100101 [1,1,0,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[3,1,2,6,4,7,8,5]=>[3,1,2,8,7,6,4,5]=>0100111 [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,1,2,6,4,7,5,8]=>[3,1,2,7,6,4,5,8]=>0100110 [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[3,1,2,6,7,4,8,5]=>[3,1,2,8,7,4,6,5]=>0100111 [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,1,2,6,4,5,8,7]=>[3,1,2,6,4,5,8,7]=>0100101 [1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[3,1,6,2,4,7,8,5]=>[8,7,6,3,1,2,4,5]=>0100111 [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,1,6,2,7,4,8,5]=>[8,7,3,1,2,4,6,5]=>0100111 [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,1,6,7,2,4,5,8]=>[7,3,1,2,6,4,5,8]=>0100110 [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[3,1,6,2,4,5,8,7]=>[6,3,1,2,4,5,8,7]=>0100101 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,1,6,2,8,4,5,7]=>[8,3,1,2,4,6,5,7]=>0100101 [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,1,6,8,2,4,5,7]=>[8,3,1,2,6,4,5,7]=>0100101 [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,6,1,2,4,7,8,5]=>[8,7,6,1,3,2,4,5]=>0100111 [1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,6,1,2,7,4,8,5]=>[8,7,1,3,2,4,6,5]=>0100111 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[3,6,1,7,2,4,8,5]=>[8,7,1,3,2,6,4,5]=>0100111 [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,6,1,7,2,8,4,5]=>[8,1,3,2,7,6,4,5]=>0100111 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,6,1,7,8,2,4,5]=>[8,1,3,2,7,4,6,5]=>0100111 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,6,7,1,2,8,4,5]=>[8,1,7,6,3,2,4,5]=>0100111 [1,1,0,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,1,2,4,7,5,8,6]=>[3,1,2,4,8,7,5,6]=>0100011 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[3,1,2,4,7,8,5,6]=>[3,1,2,4,8,5,7,6]=>0100011 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[3,1,2,4,7,5,6,8]=>[3,1,2,4,7,5,6,8]=>0100010 [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,1,2,7,4,8,5,6]=>[3,1,2,8,4,5,7,6]=>0100011 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[3,1,2,7,8,4,5,6]=>[3,1,2,8,4,7,5,6]=>0100011 [1,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[3,1,7,8,2,4,5,6]=>[8,3,1,2,7,4,5,6]=>0100011 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[3,1,2,4,5,8,6,7]=>[3,1,2,4,5,8,6,7]=>0100001 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,1,2,4,8,5,6,7]=>[3,1,2,4,8,5,6,7]=>0100001 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,1,2,8,4,5,6,7]=>[3,1,2,8,4,5,6,7]=>0100001 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,8,2,4,5,6,7]=>[8,3,1,2,4,5,6,7]=>0100001 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>0100000 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,4,5,6,3,7,8]=>[1,2,6,5,4,3,7,8]=>0011100 [1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,7,3,8,6]=>[1,2,8,7,5,4,3,6]=>0011011 [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]=>0011001 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,4,5,8,3,6,7]=>[1,2,8,5,4,3,6,7]=>0011001 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,7,6,5]=>0010111 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>0010101 [1,1,1,0,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,8,5,7]=>[1,2,4,3,8,6,5,7]=>0010101 [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>0010100 [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,6,7,3,8,5]=>[1,2,8,7,4,3,6,5]=>0010111 [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,3,8,5,7]=>[1,2,8,6,4,3,5,7]=>0010101 [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]=>0010011 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,4,7,3,8,5,6]=>[1,2,8,4,3,5,7,6]=>0010011 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,4,7,8,3,5,6]=>[1,2,8,4,3,7,5,6]=>0010011 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>0010001 [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]=>0010001 [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>0010001 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,4,8,3,5,6,7]=>[1,2,8,4,3,5,6,7]=>0010001 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>0010000 [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,4,2,5,3,7,8,6]=>[1,5,4,2,3,8,7,6]=>0011011 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,4,2,5,7,8,3,6]=>[1,8,5,4,2,3,7,6]=>0011011 [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,4,2,5,3,6,8,7]=>[1,5,4,2,3,6,8,7]=>0011001 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,4,2,5,3,8,6,7]=>[1,5,4,2,3,8,6,7]=>0011001 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,4,2,5,8,3,6,7]=>[1,8,5,4,2,3,6,7]=>0011001 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,4,2,5,3,6,7,8]=>[1,5,4,2,3,6,7,8]=>0011000 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,4,5,2,6,7,8,3]=>[1,8,7,6,5,2,4,3]=>0011111 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,4,5,6,7,2,8,3]=>[1,8,7,2,6,5,4,3]=>0011111 [1,1,1,0,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,4,5,2,3,7,8,6]=>[1,5,2,4,3,8,7,6]=>0011011 [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,4,5,2,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>0011010 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,4,5,7,8,2,3,6]=>[1,8,2,7,5,4,3,6]=>0011011 [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,4,5,7,2,3,6,8]=>[1,7,2,5,4,3,6,8]=>0011010 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,4,5,2,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>0011001 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>0011000 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,2,3,6,7,8,5]=>[1,4,2,3,8,7,6,5]=>0010111 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,2,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>0010101 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,2,3,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>0010100 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,2,6,3,7,5,8]=>[1,7,6,4,2,3,5,8]=>0010110 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,2,6,7,8,3,5]=>[1,8,4,2,3,7,6,5]=>0010111 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,2,6,3,5,8,7]=>[1,6,4,2,3,5,8,7]=>0010101 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,2,6,3,8,5,7]=>[1,8,6,4,2,3,5,7]=>0010101 [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,2,6,8,3,5,7]=>[1,8,4,2,3,6,5,7]=>0010101 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,2,6,3,5,7,8]=>[1,6,4,2,3,5,7,8]=>0010100 [1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,6,2,3,7,8,5]=>[1,8,7,6,2,4,3,5]=>0010111 [1,1,1,0,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,6,2,7,3,5,8]=>[1,7,2,4,3,6,5,8]=>0010110 [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,6,7,2,8,3,5]=>[1,8,2,7,6,4,3,5]=>0010111 [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,2,8,3,5,7]=>[1,8,2,4,3,6,5,7]=>0010101 [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]=>0010011 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>0010010 [1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,4,2,3,7,8,5,6]=>[1,4,2,3,8,5,7,6]=>0010011 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>0010010 [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,4,2,7,3,5,8,6]=>[1,8,7,4,2,3,5,6]=>0010011 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,4,2,7,3,8,5,6]=>[1,8,4,2,3,5,7,6]=>0010011 [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,4,2,7,8,3,5,6]=>[1,8,4,2,3,7,5,6]=>0010011 [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,4,7,2,8,3,5,6]=>[1,8,2,4,3,7,5,6]=>0010011 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>0010001 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>0010001 [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7]=>0010001 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,4,2,8,3,5,6,7]=>[1,8,4,2,3,5,6,7]=>0010001 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,4,8,2,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>0010001 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0010000 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,1,2,5,6,7,8,3]=>[8,7,6,5,4,1,2,3]=>0011111 [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,1,2,5,6,7,3,8]=>[7,6,5,4,1,2,3,8]=>0011110 [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[4,1,2,5,6,3,8,7]=>[6,5,4,1,2,3,8,7]=>0011101 [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[4,1,2,5,3,7,8,6]=>[5,4,1,2,3,8,7,6]=>0011011 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,1,2,5,7,8,3,6]=>[8,5,4,1,2,3,7,6]=>0011011 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,1,2,5,3,8,6,7]=>[5,4,1,2,3,8,6,7]=>0011001 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,1,5,2,6,7,8,3]=>[8,7,6,5,1,2,4,3]=>0011111 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[4,1,5,2,6,3,8,7]=>[6,5,1,2,4,3,8,7]=>0011101 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,1,5,2,6,8,3,7]=>[8,6,5,1,2,4,3,7]=>0011101 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[4,1,5,6,7,2,8,3]=>[8,7,1,2,6,5,4,3]=>0011111 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[4,1,5,6,7,8,2,3]=>[8,1,2,7,6,5,4,3]=>0011111 [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[4,1,5,6,7,2,3,8]=>[7,1,2,6,5,4,3,8]=>0011110 [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,1,5,6,2,3,8,7]=>[6,1,2,5,4,3,8,7]=>0011101 [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[4,1,5,6,2,8,3,7]=>[8,6,1,2,5,4,3,7]=>0011101 [1,1,1,0,1,0,0,1,0,1,1,0,1,0,0,0]=>[4,1,5,6,8,2,3,7]=>[8,1,2,6,5,4,3,7]=>0011101 [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,1,5,2,3,7,8,6]=>[5,1,2,4,3,8,7,6]=>0011011 [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[4,1,5,2,7,3,8,6]=>[8,7,5,1,2,4,3,6]=>0011011 [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[4,1,5,2,7,8,3,6]=>[8,5,1,2,4,3,7,6]=>0011011 [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[4,1,5,2,7,3,6,8]=>[7,5,1,2,4,3,6,8]=>0011010 [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[4,1,5,2,8,3,6,7]=>[8,5,1,2,4,3,6,7]=>0011001 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,1,5,8,2,3,6,7]=>[8,1,2,5,4,3,6,7]=>0011001 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,5,1,2,6,7,8,3]=>[8,7,6,5,1,4,2,3]=>0011111 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,5,1,6,2,7,8,3]=>[8,7,6,1,5,4,2,3]=>0011111 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,5,1,6,7,8,2,3]=>[8,1,7,6,5,4,2,3]=>0011111 [1,1,1,0,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,5,1,6,2,3,8,7]=>[6,1,5,4,2,3,8,7]=>0011101 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[4,5,6,7,1,2,8,3]=>[8,7,1,6,2,5,4,3]=>0011111 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[4,5,6,7,1,8,2,3]=>[8,1,7,6,2,5,4,3]=>0011111 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,5,6,7,8,1,2,3]=>[8,1,7,2,6,5,4,3]=>0011111 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[4,5,6,1,2,3,8,7]=>[6,1,5,2,4,3,8,7]=>0011101 [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[4,5,1,2,7,3,8,6]=>[8,7,5,1,4,2,3,6]=>0011011 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[4,5,1,2,7,8,3,6]=>[8,5,1,4,2,3,7,6]=>0011011 [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,7,3,6,8]=>[7,5,1,4,2,3,6,8]=>0011010 [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[4,5,1,7,2,3,8,6]=>[8,7,1,5,4,2,3,6]=>0011011 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[4,5,1,7,8,2,3,6]=>[8,1,7,5,4,2,3,6]=>0011011 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,5,1,7,2,3,6,8]=>[7,1,5,4,2,3,6,8]=>0011010 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[4,5,7,1,2,8,3,6]=>[8,1,5,2,4,3,7,6]=>0011011 [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[4,5,1,2,3,8,6,7]=>[5,1,4,2,3,8,6,7]=>0011001 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[4,5,1,2,8,3,6,7]=>[8,5,1,4,2,3,6,7]=>0011001 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,5,1,8,2,3,6,7]=>[8,1,5,4,2,3,6,7]=>0011001 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[4,5,1,2,3,6,7,8]=>[5,1,4,2,3,6,7,8]=>0011000 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,1,2,3,6,7,8,5]=>[4,1,2,3,8,7,6,5]=>0010111 [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,1,2,3,6,7,5,8]=>[4,1,2,3,7,6,5,8]=>0010110 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,1,2,3,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>0010101 [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,1,2,3,6,8,5,7]=>[4,1,2,3,8,6,5,7]=>0010101 [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,1,2,3,6,5,7,8]=>[4,1,2,3,6,5,7,8]=>0010100 [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,1,2,6,3,7,8,5]=>[8,7,6,4,1,2,3,5]=>0010111 [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,1,2,6,7,3,8,5]=>[8,7,4,1,2,3,6,5]=>0010111 [1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,1,6,2,3,7,8,5]=>[8,7,6,1,2,4,3,5]=>0010111 [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,1,6,2,7,3,8,5]=>[8,7,1,2,4,3,6,5]=>0010111 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,1,6,7,2,3,5,8]=>[7,1,2,6,4,3,5,8]=>0010110 [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,1,6,2,3,8,5,7]=>[8,6,1,2,4,3,5,7]=>0010101 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,1,6,2,8,3,5,7]=>[8,1,2,4,3,6,5,7]=>0010101 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,6,1,2,3,7,5,8]=>[7,6,1,4,2,3,5,8]=>0010110 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,6,1,2,7,8,3,5]=>[8,1,4,2,3,7,6,5]=>0010111 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,6,1,7,2,3,5,8]=>[7,1,6,4,2,3,5,8]=>0010110 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,6,7,1,2,8,3,5]=>[8,1,7,6,2,4,3,5]=>0010111 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,6,7,1,8,2,3,5]=>[8,1,7,2,4,3,6,5]=>0010111 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,6,7,8,1,2,3,5]=>[8,1,7,2,6,4,3,5]=>0010111 [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,1,2,3,8,5,7]=>[8,6,1,4,2,3,5,7]=>0010101 [1,1,1,0,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,1,8,2,3,5,7]=>[8,1,6,4,2,3,5,7]=>0010101 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,8,1,2,3,5,7]=>[8,1,6,2,4,3,5,7]=>0010101 [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[4,1,2,3,5,7,8,6]=>[4,1,2,3,5,8,7,6]=>0010011 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[4,1,2,3,5,7,6,8]=>[4,1,2,3,5,7,6,8]=>0010010 [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[4,1,2,3,7,5,8,6]=>[4,1,2,3,8,7,5,6]=>0010011 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[4,1,2,3,7,8,5,6]=>[4,1,2,3,8,5,7,6]=>0010011 [1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0]=>[4,1,2,3,7,5,6,8]=>[4,1,2,3,7,5,6,8]=>0010010 [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[4,1,7,2,3,5,8,6]=>[8,7,1,2,4,3,5,6]=>0010011 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[4,1,7,2,3,8,5,6]=>[8,1,2,4,3,5,7,6]=>0010011 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,7,1,8,2,3,5,6]=>[8,1,7,4,2,3,5,6]=>0010011 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,8,7]=>0010001 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[4,1,2,3,5,8,6,7]=>[4,1,2,3,5,8,6,7]=>0010001 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[4,1,2,3,8,5,6,7]=>[4,1,2,3,8,5,6,7]=>0010001 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[4,8,1,2,3,5,6,7]=>[8,1,4,2,3,5,6,7]=>0010001 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>0010000 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,7,6,5,4]=>0001111 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,6,5,4,8]=>0001110 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>0001101 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,6,5,4,7]=>0001101 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>0001011 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>0001010 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,7,4,8,6]=>[1,2,3,8,7,5,4,6]=>0001011 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]=>0001011 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]=>0001010 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>0001001 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]=>0001001 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0001000 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[1,2,5,6,3,7,8,4]=>[1,2,8,7,6,3,5,4]=>0001111 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,7,6,5,4]=>0001111 [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[1,2,5,3,4,7,8,6]=>[1,2,5,3,4,8,7,6]=>0001011 [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[1,2,5,7,3,4,8,6]=>[1,2,8,7,3,5,4,6]=>0001011 [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[1,2,5,7,3,8,4,6]=>[1,2,8,3,5,4,7,6]=>0001011 [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[1,2,5,7,8,3,4,6]=>[1,2,8,3,7,5,4,6]=>0001011 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[1,2,5,3,4,8,6,7]=>[1,2,5,3,4,8,6,7]=>0001001 [1,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0]=>[1,2,5,3,8,4,6,7]=>[1,2,8,5,3,4,6,7]=>0001001 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]=>0001001 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[1,5,2,3,6,7,8,4]=>[1,8,7,6,5,2,3,4]=>0001111 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[1,5,2,3,6,4,8,7]=>[1,6,5,2,3,4,8,7]=>0001101 [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[1,5,2,6,8,3,4,7]=>[1,8,2,3,6,5,4,7]=>0001101 [1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,0]=>[1,5,6,7,2,3,8,4]=>[1,8,7,2,6,3,5,4]=>0001111 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[1,5,6,7,8,2,3,4]=>[1,8,2,7,3,6,5,4]=>0001111 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[1,5,6,7,2,3,4,8]=>[1,7,2,6,3,5,4,8]=>0001110 [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[1,5,6,2,3,8,4,7]=>[1,8,6,2,5,3,4,7]=>0001101 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[1,5,6,2,8,3,4,7]=>[1,8,2,6,5,3,4,7]=>0001101 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[1,5,6,8,2,3,4,7]=>[1,8,2,6,3,5,4,7]=>0001101 [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[1,5,2,3,4,7,8,6]=>[1,5,2,3,4,8,7,6]=>0001011 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>0001010 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[1,5,2,3,7,4,8,6]=>[1,8,7,5,2,3,4,6]=>0001011 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[1,5,2,7,8,3,4,6]=>[1,8,2,3,7,5,4,6]=>0001011 [1,1,1,1,0,0,1,1,0,1,0,0,0,0,1,0]=>[1,5,7,2,3,4,8,6]=>[1,8,7,2,5,3,4,6]=>0001011 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[1,5,7,8,2,3,4,6]=>[1,8,2,7,3,5,4,6]=>0001011 [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[1,5,2,3,4,6,8,7]=>[1,5,2,3,4,6,8,7]=>0001001 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>0001001 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[1,5,2,8,3,4,6,7]=>[1,8,2,3,5,4,6,7]=>0001001 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>0001000 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,1,2,3,6,7,8,4]=>[8,7,6,5,1,2,3,4]=>0001111 [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[5,1,2,3,6,7,4,8]=>[7,6,5,1,2,3,4,8]=>0001110 [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[5,1,2,3,6,8,4,7]=>[8,6,5,1,2,3,4,7]=>0001101 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[5,1,2,6,3,7,8,4]=>[8,7,6,1,2,3,5,4]=>0001111 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[5,1,2,6,3,7,4,8]=>[7,6,1,2,3,5,4,8]=>0001110 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[5,1,2,6,7,8,3,4]=>[8,1,2,3,7,6,5,4]=>0001111 [1,1,1,1,0,1,0,0,0,1,0,1,1,0,0,0]=>[5,1,2,6,7,3,4,8]=>[7,1,2,3,6,5,4,8]=>0001110 [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[5,1,2,6,3,8,4,7]=>[8,6,1,2,3,5,4,7]=>0001101 [1,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>[5,1,2,6,8,3,4,7]=>[8,1,2,3,6,5,4,7]=>0001101 [1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0]=>[5,1,6,2,3,7,8,4]=>[8,7,6,1,2,5,3,4]=>0001111 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,1,6,2,7,3,8,4]=>[8,7,1,2,6,5,3,4]=>0001111 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[5,1,6,2,7,3,4,8]=>[7,1,2,6,5,3,4,8]=>0001110 [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[5,1,6,7,2,8,3,4]=>[8,1,2,7,6,3,5,4]=>0001111 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[5,1,6,7,8,2,3,4]=>[8,1,2,7,3,6,5,4]=>0001111 [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[5,1,6,2,3,8,4,7]=>[8,6,1,2,5,3,4,7]=>0001101 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[5,1,6,2,8,3,4,7]=>[8,1,2,6,5,3,4,7]=>0001101 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[5,6,1,2,3,7,8,4]=>[8,7,6,1,5,2,3,4]=>0001111 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[5,6,1,2,7,3,8,4]=>[8,7,1,6,5,2,3,4]=>0001111 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[5,6,1,7,8,2,3,4]=>[8,1,7,2,3,6,5,4]=>0001111 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[8,1,7,2,6,3,5,4]=>0001111 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[5,6,7,1,2,3,4,8]=>[7,1,6,2,5,3,4,8]=>0001110 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[5,6,1,2,3,4,8,7]=>[6,1,5,2,3,4,8,7]=>0001101 [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[5,6,1,2,3,8,4,7]=>[8,6,1,5,2,3,4,7]=>0001101 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[5,6,8,1,2,3,4,7]=>[8,1,6,2,5,3,4,7]=>0001101 [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[5,1,2,3,7,4,8,6]=>[8,7,5,1,2,3,4,6]=>0001011 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[5,1,2,7,3,8,4,6]=>[8,1,2,3,5,4,7,6]=>0001011 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[5,1,2,7,8,3,4,6]=>[8,1,2,3,7,5,4,6]=>0001011 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[5,7,8,1,2,3,4,6]=>[8,1,7,2,5,3,4,6]=>0001011 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,1,2,8,3,4,6,7]=>[8,1,2,3,5,4,6,7]=>0001001 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]=>0001000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,7,6,5]=>0000111 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>0000110 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>0000101 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]=>0000101 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>0000100 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[1,2,3,6,4,7,8,5]=>[1,2,3,8,7,6,4,5]=>0000111 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[1,2,3,6,4,7,5,8]=>[1,2,3,7,6,4,5,8]=>0000110 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[1,2,3,6,7,4,8,5]=>[1,2,3,8,7,4,6,5]=>0000111 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,7,6,5]=>0000111 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]=>0000110 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[1,2,3,6,4,5,8,7]=>[1,2,3,6,4,5,8,7]=>0000101 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[1,2,3,6,4,8,5,7]=>[1,2,3,8,6,4,5,7]=>0000101 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>0000100 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[1,2,6,7,3,8,4,5]=>[1,2,8,3,7,6,4,5]=>0000111 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[1,2,6,3,4,5,8,7]=>[1,2,6,3,4,5,8,7]=>0000101 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[1,2,6,8,3,4,5,7]=>[1,2,8,3,6,4,5,7]=>0000101 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[1,2,6,3,4,5,7,8]=>[1,2,6,3,4,5,7,8]=>0000100 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[1,6,2,3,4,7,8,5]=>[1,8,7,6,2,3,4,5]=>0000111 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[1,6,2,3,4,7,5,8]=>[1,7,6,2,3,4,5,8]=>0000110 [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[1,6,2,7,3,4,8,5]=>[1,8,7,2,3,6,4,5]=>0000111 [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[1,6,7,2,3,4,8,5]=>[1,8,7,2,6,3,4,5]=>0000111 [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[1,6,7,2,3,8,4,5]=>[1,8,2,7,6,3,4,5]=>0000111 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[1,6,7,8,2,3,4,5]=>[1,8,2,7,3,6,4,5]=>0000111 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[1,6,2,3,4,5,8,7]=>[1,6,2,3,4,5,8,7]=>0000101 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[1,6,2,3,4,8,5,7]=>[1,8,6,2,3,4,5,7]=>0000101 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[1,6,2,8,3,4,5,7]=>[1,8,2,3,6,4,5,7]=>0000101 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[1,6,8,2,3,4,5,7]=>[1,8,2,6,3,4,5,7]=>0000101 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>0000100 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,1,2,3,4,7,8,5]=>[8,7,6,1,2,3,4,5]=>0000111 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[6,1,2,3,7,8,4,5]=>[8,1,2,3,4,7,6,5]=>0000111 [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[6,1,2,7,3,4,8,5]=>[8,7,1,2,3,6,4,5]=>0000111 [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[6,1,7,2,3,4,8,5]=>[8,7,1,2,6,3,4,5]=>0000111 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[6,1,7,2,3,8,4,5]=>[8,1,2,7,6,3,4,5]=>0000111 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[6,1,7,8,2,3,4,5]=>[8,1,2,7,3,6,4,5]=>0000111 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[6,1,7,2,3,4,5,8]=>[7,1,2,6,3,4,5,8]=>0000110 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[6,7,1,2,3,8,4,5]=>[8,1,7,6,2,3,4,5]=>0000111 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[6,7,1,8,2,3,4,5]=>[8,1,7,2,3,6,4,5]=>0000111 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,7,8,1,2,3,4,5]=>[8,1,7,2,6,3,4,5]=>0000111 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[6,7,1,2,3,4,5,8]=>[7,1,6,2,3,4,5,8]=>0000110 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[6,1,2,3,4,5,8,7]=>[6,1,2,3,4,5,8,7]=>0000101 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>0000011 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0000010 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,8,7,5,6]=>0000011 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]=>0000011 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]=>0000010 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[1,2,3,7,4,5,8,6]=>[1,2,3,8,7,4,5,6]=>0000011 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[1,2,3,7,4,8,5,6]=>[1,2,3,8,4,5,7,6]=>0000011 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[1,2,3,7,8,4,5,6]=>[1,2,3,8,4,7,5,6]=>0000011 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>0000010 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[1,2,7,3,4,5,8,6]=>[1,2,8,7,3,4,5,6]=>0000011 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[1,2,7,3,4,8,5,6]=>[1,2,8,3,4,5,7,6]=>0000011 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[1,2,7,8,3,4,5,6]=>[1,2,8,3,7,4,5,6]=>0000011 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[1,2,7,3,4,5,6,8]=>[1,2,7,3,4,5,6,8]=>0000010 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[1,7,8,2,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>0000011 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>0000010 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[7,1,2,8,3,4,5,6]=>[8,1,2,3,7,4,5,6]=>0000011 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8]=>0000010 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0000001 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>0000001 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>0000001 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>0000001 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>0000001 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>0000001 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>0000001 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000