=>

[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]=>[3,2,1]=>[3,2,1]=>11 [1,0,1,1,0,0]=>[2,3,1]=>[1,3,2]=>01 [1,1,0,0,1,0]=>[3,1,2]=>[2,3,1]=>01 [1,1,0,1,0,0]=>[2,1,3]=>[2,1,3]=>10 [1,1,1,0,0,0]=>[1,2,3]=>[1,2,3]=>00 [1,0,1,0,1,0,1,0]=>[4,3,2,1]=>[4,3,2,1]=>111 [1,0,1,0,1,1,0,0]=>[3,4,2,1]=>[1,4,3,2]=>011 [1,0,1,1,0,0,1,0]=>[4,2,3,1]=>[2,4,3,1]=>011 [1,0,1,1,0,1,0,0]=>[3,2,4,1]=>[2,1,4,3]=>101 [1,0,1,1,1,0,0,0]=>[2,3,4,1]=>[1,2,4,3]=>001 [1,1,0,0,1,0,1,0]=>[4,3,1,2]=>[3,4,2,1]=>011 [1,1,0,0,1,1,0,0]=>[3,4,1,2]=>[3,1,4,2]=>101 [1,1,0,1,0,0,1,0]=>[4,2,1,3]=>[3,2,4,1]=>101 [1,1,0,1,0,1,0,0]=>[3,2,1,4]=>[3,2,1,4]=>110 [1,1,0,1,1,0,0,0]=>[2,3,1,4]=>[1,3,2,4]=>010 [1,1,1,0,0,0,1,0]=>[4,1,2,3]=>[2,3,4,1]=>001 [1,1,1,0,0,1,0,0]=>[3,1,2,4]=>[2,3,1,4]=>010 [1,1,1,0,1,0,0,0]=>[2,1,3,4]=>[2,1,3,4]=>100 [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]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1111 [1,0,1,0,1,0,1,1,0,0]=>[4,5,3,2,1]=>[1,5,4,3,2]=>0111 [1,0,1,0,1,1,0,0,1,0]=>[5,3,4,2,1]=>[2,5,4,3,1]=>0111 [1,0,1,0,1,1,0,1,0,0]=>[4,3,5,2,1]=>[2,1,5,4,3]=>1011 [1,0,1,0,1,1,1,0,0,0]=>[3,4,5,2,1]=>[1,2,5,4,3]=>0011 [1,0,1,1,0,0,1,0,1,0]=>[5,4,2,3,1]=>[3,5,4,2,1]=>0111 [1,0,1,1,0,0,1,1,0,0]=>[4,5,2,3,1]=>[3,1,5,4,2]=>1011 [1,0,1,1,0,1,0,0,1,0]=>[5,3,2,4,1]=>[3,2,5,4,1]=>1011 [1,0,1,1,0,1,0,1,0,0]=>[4,3,2,5,1]=>[3,2,1,5,4]=>1101 [1,0,1,1,0,1,1,0,0,0]=>[3,4,2,5,1]=>[1,3,2,5,4]=>0101 [1,0,1,1,1,0,0,0,1,0]=>[5,2,3,4,1]=>[2,3,5,4,1]=>0011 [1,0,1,1,1,0,0,1,0,0]=>[4,2,3,5,1]=>[2,3,1,5,4]=>0101 [1,0,1,1,1,0,1,0,0,0]=>[3,2,4,5,1]=>[2,1,3,5,4]=>1001 [1,0,1,1,1,1,0,0,0,0]=>[2,3,4,5,1]=>[1,2,3,5,4]=>0001 [1,1,0,0,1,0,1,0,1,0]=>[5,4,3,1,2]=>[4,5,3,2,1]=>0111 [1,1,0,0,1,0,1,1,0,0]=>[4,5,3,1,2]=>[4,1,5,3,2]=>1011 [1,1,0,0,1,1,0,0,1,0]=>[5,3,4,1,2]=>[4,2,5,3,1]=>1011 [1,1,0,0,1,1,0,1,0,0]=>[4,3,5,1,2]=>[4,2,1,5,3]=>1101 [1,1,0,0,1,1,1,0,0,0]=>[3,4,5,1,2]=>[1,4,2,5,3]=>0101 [1,1,0,1,0,0,1,0,1,0]=>[5,4,2,1,3]=>[4,3,5,2,1]=>1011 [1,1,0,1,0,0,1,1,0,0]=>[4,5,2,1,3]=>[4,3,1,5,2]=>1101 [1,1,0,1,0,1,0,0,1,0]=>[5,3,2,1,4]=>[4,3,2,5,1]=>1101 [1,1,0,1,0,1,0,1,0,0]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1110 [1,1,0,1,0,1,1,0,0,0]=>[3,4,2,1,5]=>[1,4,3,2,5]=>0110 [1,1,0,1,1,0,0,0,1,0]=>[5,2,3,1,4]=>[2,4,3,5,1]=>0101 [1,1,0,1,1,0,0,1,0,0]=>[4,2,3,1,5]=>[2,4,3,1,5]=>0110 [1,1,0,1,1,0,1,0,0,0]=>[3,2,4,1,5]=>[2,1,4,3,5]=>1010 [1,1,0,1,1,1,0,0,0,0]=>[2,3,4,1,5]=>[1,2,4,3,5]=>0010 [1,1,1,0,0,0,1,0,1,0]=>[5,4,1,2,3]=>[3,4,5,2,1]=>0011 [1,1,1,0,0,0,1,1,0,0]=>[4,5,1,2,3]=>[3,4,1,5,2]=>0101 [1,1,1,0,0,1,0,0,1,0]=>[5,3,1,2,4]=>[3,4,2,5,1]=>0101 [1,1,1,0,0,1,0,1,0,0]=>[4,3,1,2,5]=>[3,4,2,1,5]=>0110 [1,1,1,0,0,1,1,0,0,0]=>[3,4,1,2,5]=>[3,1,4,2,5]=>1010 [1,1,1,0,1,0,0,0,1,0]=>[5,2,1,3,4]=>[3,2,4,5,1]=>1001 [1,1,1,0,1,0,0,1,0,0]=>[4,2,1,3,5]=>[3,2,4,1,5]=>1010 [1,1,1,0,1,0,1,0,0,0]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [1,1,1,0,1,1,0,0,0,0]=>[2,3,1,4,5]=>[1,3,2,4,5]=>0100 [1,1,1,1,0,0,0,0,1,0]=>[5,1,2,3,4]=>[2,3,4,5,1]=>0001 [1,1,1,1,0,0,0,1,0,0]=>[4,1,2,3,5]=>[2,3,4,1,5]=>0010 [1,1,1,1,0,0,1,0,0,0]=>[3,1,2,4,5]=>[2,3,1,4,5]=>0100 [1,1,1,1,0,1,0,0,0,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [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]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>11111 [1,0,1,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,2,1]=>[1,6,5,4,3,2]=>01111 [1,0,1,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,2,1]=>[2,6,5,4,3,1]=>01111 [1,0,1,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,2,1]=>[2,1,6,5,4,3]=>10111 [1,0,1,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,2,1]=>[1,2,6,5,4,3]=>00111 [1,0,1,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>01111 [1,0,1,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,2,1]=>[3,1,6,5,4,2]=>10111 [1,0,1,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,2,1]=>[3,2,6,5,4,1]=>10111 [1,0,1,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,2,1]=>[3,2,1,6,5,4]=>11011 [1,0,1,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,2,1]=>[1,3,2,6,5,4]=>01011 [1,0,1,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,2,1]=>[2,3,6,5,4,1]=>00111 [1,0,1,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,2,1]=>[2,3,1,6,5,4]=>01011 [1,0,1,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[2,1,3,6,5,4]=>10011 [1,0,1,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,2,1]=>[1,2,3,6,5,4]=>00011 [1,0,1,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,3,1]=>[4,6,5,3,2,1]=>01111 [1,0,1,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,3,1]=>[4,1,6,5,3,2]=>10111 [1,0,1,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,3,1]=>[4,2,6,5,3,1]=>10111 [1,0,1,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,3,1]=>[4,2,1,6,5,3]=>11011 [1,0,1,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,3,1]=>[1,4,2,6,5,3]=>01011 [1,0,1,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,4,1]=>[4,3,6,5,2,1]=>10111 [1,0,1,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,4,1]=>[4,3,1,6,5,2]=>11011 [1,0,1,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>11011 [1,0,1,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,1]=>[4,3,2,1,6,5]=>11101 [1,0,1,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,6,1]=>[1,4,3,2,6,5]=>01101 [1,0,1,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,5,1]=>[2,4,3,6,5,1]=>01011 [1,0,1,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,6,1]=>[2,4,3,1,6,5]=>01101 [1,0,1,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,6,1]=>[2,1,4,3,6,5]=>10101 [1,0,1,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,6,1]=>[1,2,4,3,6,5]=>00101 [1,0,1,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,4,1]=>[3,4,6,5,2,1]=>00111 [1,0,1,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,4,1]=>[3,4,1,6,5,2]=>01011 [1,0,1,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,5,1]=>[3,4,2,6,5,1]=>01011 [1,0,1,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,6,1]=>[3,4,2,1,6,5]=>01101 [1,0,1,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,6,1]=>[3,1,4,2,6,5]=>10101 [1,0,1,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1]=>[3,2,4,6,5,1]=>10011 [1,0,1,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[3,2,4,1,6,5]=>10101 [1,0,1,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,6,1]=>[3,2,1,4,6,5]=>11001 [1,0,1,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,6,1]=>[1,3,2,4,6,5]=>01001 [1,0,1,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,5,1]=>[2,3,4,6,5,1]=>00011 [1,0,1,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,6,1]=>[2,3,4,1,6,5]=>00101 [1,0,1,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,6,1]=>[2,3,1,4,6,5]=>01001 [1,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,6,1]=>[2,1,3,4,6,5]=>10001 [1,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,6,1]=>[1,2,3,4,6,5]=>00001 [1,1,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1]=>01111 [1,1,0,0,1,0,1,0,1,1,0,0]=>[5,6,4,3,1,2]=>[5,1,6,4,3,2]=>10111 [1,1,0,0,1,0,1,1,0,0,1,0]=>[6,4,5,3,1,2]=>[5,2,6,4,3,1]=>10111 [1,1,0,0,1,0,1,1,0,1,0,0]=>[5,4,6,3,1,2]=>[5,2,1,6,4,3]=>11011 [1,1,0,0,1,0,1,1,1,0,0,0]=>[4,5,6,3,1,2]=>[1,5,2,6,4,3]=>01011 [1,1,0,0,1,1,0,0,1,0,1,0]=>[6,5,3,4,1,2]=>[5,3,6,4,2,1]=>10111 [1,1,0,0,1,1,0,0,1,1,0,0]=>[5,6,3,4,1,2]=>[5,3,1,6,4,2]=>11011 [1,1,0,0,1,1,0,1,0,0,1,0]=>[6,4,3,5,1,2]=>[5,3,2,6,4,1]=>11011 [1,1,0,0,1,1,0,1,0,1,0,0]=>[5,4,3,6,1,2]=>[5,3,2,1,6,4]=>11101 [1,1,0,0,1,1,0,1,1,0,0,0]=>[4,5,3,6,1,2]=>[1,5,3,2,6,4]=>01101 [1,1,0,0,1,1,1,0,0,0,1,0]=>[6,3,4,5,1,2]=>[2,5,3,6,4,1]=>01011 [1,1,0,0,1,1,1,0,0,1,0,0]=>[5,3,4,6,1,2]=>[2,5,3,1,6,4]=>01101 [1,1,0,0,1,1,1,0,1,0,0,0]=>[4,3,5,6,1,2]=>[2,1,5,3,6,4]=>10101 [1,1,0,0,1,1,1,1,0,0,0,0]=>[3,4,5,6,1,2]=>[1,2,5,3,6,4]=>00101 [1,1,0,1,0,0,1,0,1,0,1,0]=>[6,5,4,2,1,3]=>[5,4,6,3,2,1]=>10111 [1,1,0,1,0,0,1,0,1,1,0,0]=>[5,6,4,2,1,3]=>[5,4,1,6,3,2]=>11011 [1,1,0,1,0,0,1,1,0,0,1,0]=>[6,4,5,2,1,3]=>[5,4,2,6,3,1]=>11011 [1,1,0,1,0,0,1,1,0,1,0,0]=>[5,4,6,2,1,3]=>[5,4,2,1,6,3]=>11101 [1,1,0,1,0,0,1,1,1,0,0,0]=>[4,5,6,2,1,3]=>[1,5,4,2,6,3]=>01101 [1,1,0,1,0,1,0,0,1,0,1,0]=>[6,5,3,2,1,4]=>[5,4,3,6,2,1]=>11011 [1,1,0,1,0,1,0,0,1,1,0,0]=>[5,6,3,2,1,4]=>[5,4,3,1,6,2]=>11101 [1,1,0,1,0,1,0,1,0,0,1,0]=>[6,4,3,2,1,5]=>[5,4,3,2,6,1]=>11101 [1,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>11110 [1,1,0,1,0,1,0,1,1,0,0,0]=>[4,5,3,2,1,6]=>[1,5,4,3,2,6]=>01110 [1,1,0,1,0,1,1,0,0,0,1,0]=>[6,3,4,2,1,5]=>[2,5,4,3,6,1]=>01101 [1,1,0,1,0,1,1,0,0,1,0,0]=>[5,3,4,2,1,6]=>[2,5,4,3,1,6]=>01110 [1,1,0,1,0,1,1,0,1,0,0,0]=>[4,3,5,2,1,6]=>[2,1,5,4,3,6]=>10110 [1,1,0,1,0,1,1,1,0,0,0,0]=>[3,4,5,2,1,6]=>[1,2,5,4,3,6]=>00110 [1,1,0,1,1,0,0,0,1,0,1,0]=>[6,5,2,3,1,4]=>[3,5,4,6,2,1]=>01011 [1,1,0,1,1,0,0,0,1,1,0,0]=>[5,6,2,3,1,4]=>[3,5,4,1,6,2]=>01101 [1,1,0,1,1,0,0,1,0,0,1,0]=>[6,4,2,3,1,5]=>[3,5,4,2,6,1]=>01101 [1,1,0,1,1,0,0,1,0,1,0,0]=>[5,4,2,3,1,6]=>[3,5,4,2,1,6]=>01110 [1,1,0,1,1,0,0,1,1,0,0,0]=>[4,5,2,3,1,6]=>[3,1,5,4,2,6]=>10110 [1,1,0,1,1,0,1,0,0,0,1,0]=>[6,3,2,4,1,5]=>[3,2,5,4,6,1]=>10101 [1,1,0,1,1,0,1,0,0,1,0,0]=>[5,3,2,4,1,6]=>[3,2,5,4,1,6]=>10110 [1,1,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,5,1,6]=>[3,2,1,5,4,6]=>11010 [1,1,0,1,1,0,1,1,0,0,0,0]=>[3,4,2,5,1,6]=>[1,3,2,5,4,6]=>01010 [1,1,0,1,1,1,0,0,0,0,1,0]=>[6,2,3,4,1,5]=>[2,3,5,4,6,1]=>00101 [1,1,0,1,1,1,0,0,0,1,0,0]=>[5,2,3,4,1,6]=>[2,3,5,4,1,6]=>00110 [1,1,0,1,1,1,0,0,1,0,0,0]=>[4,2,3,5,1,6]=>[2,3,1,5,4,6]=>01010 [1,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,5,1,6]=>[2,1,3,5,4,6]=>10010 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,5,1,6]=>[1,2,3,5,4,6]=>00010 [1,1,1,0,0,0,1,0,1,0,1,0]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1]=>00111 [1,1,1,0,0,0,1,0,1,1,0,0]=>[5,6,4,1,2,3]=>[4,5,1,6,3,2]=>01011 [1,1,1,0,0,0,1,1,0,0,1,0]=>[6,4,5,1,2,3]=>[4,5,2,6,3,1]=>01011 [1,1,1,0,0,0,1,1,0,1,0,0]=>[5,4,6,1,2,3]=>[4,5,2,1,6,3]=>01101 [1,1,1,0,0,0,1,1,1,0,0,0]=>[4,5,6,1,2,3]=>[4,1,5,2,6,3]=>10101 [1,1,1,0,0,1,0,0,1,0,1,0]=>[6,5,3,1,2,4]=>[4,5,3,6,2,1]=>01011 [1,1,1,0,0,1,0,0,1,1,0,0]=>[5,6,3,1,2,4]=>[4,5,3,1,6,2]=>01101 [1,1,1,0,0,1,0,1,0,0,1,0]=>[6,4,3,1,2,5]=>[4,5,3,2,6,1]=>01101 [1,1,1,0,0,1,0,1,0,1,0,0]=>[5,4,3,1,2,6]=>[4,5,3,2,1,6]=>01110 [1,1,1,0,0,1,0,1,1,0,0,0]=>[4,5,3,1,2,6]=>[4,1,5,3,2,6]=>10110 [1,1,1,0,0,1,1,0,0,0,1,0]=>[6,3,4,1,2,5]=>[4,2,5,3,6,1]=>10101 [1,1,1,0,0,1,1,0,0,1,0,0]=>[5,3,4,1,2,6]=>[4,2,5,3,1,6]=>10110 [1,1,1,0,0,1,1,0,1,0,0,0]=>[4,3,5,1,2,6]=>[4,2,1,5,3,6]=>11010 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,4,5,1,2,6]=>[1,4,2,5,3,6]=>01010 [1,1,1,0,1,0,0,0,1,0,1,0]=>[6,5,2,1,3,4]=>[4,3,5,6,2,1]=>10011 [1,1,1,0,1,0,0,0,1,1,0,0]=>[5,6,2,1,3,4]=>[4,3,5,1,6,2]=>10101 [1,1,1,0,1,0,0,1,0,0,1,0]=>[6,4,2,1,3,5]=>[4,3,5,2,6,1]=>10101 [1,1,1,0,1,0,0,1,0,1,0,0]=>[5,4,2,1,3,6]=>[4,3,5,2,1,6]=>10110 [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,5,2,1,3,6]=>[4,3,1,5,2,6]=>11010 [1,1,1,0,1,0,1,0,0,0,1,0]=>[6,3,2,1,4,5]=>[4,3,2,5,6,1]=>11001 [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,3,2,1,4,6]=>[4,3,2,5,1,6]=>11010 [1,1,1,0,1,0,1,0,1,0,0,0]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>11100 [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,2,1,5,6]=>[1,4,3,2,5,6]=>01100 [1,1,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,1,4,5]=>[2,4,3,5,6,1]=>01001 [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,3,1,4,6]=>[2,4,3,5,1,6]=>01010 [1,1,1,0,1,1,0,0,1,0,0,0]=>[4,2,3,1,5,6]=>[2,4,3,1,5,6]=>01100 [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,2,4,1,5,6]=>[2,1,4,3,5,6]=>10100 [1,1,1,0,1,1,1,0,0,0,0,0]=>[2,3,4,1,5,6]=>[1,2,4,3,5,6]=>00100 [1,1,1,1,0,0,0,0,1,0,1,0]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>00011 [1,1,1,1,0,0,0,0,1,1,0,0]=>[5,6,1,2,3,4]=>[3,4,5,1,6,2]=>00101 [1,1,1,1,0,0,0,1,0,0,1,0]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>00101 [1,1,1,1,0,0,0,1,0,1,0,0]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>00110 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,5,1,2,3,6]=>[3,4,1,5,2,6]=>01010 [1,1,1,1,0,0,1,0,0,0,1,0]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>01001 [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>01010 [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>01100 [1,1,1,1,0,0,1,1,0,0,0,0]=>[3,4,1,2,5,6]=>[3,1,4,2,5,6]=>10100 [1,1,1,1,0,1,0,0,0,0,1,0]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>10001 [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>10010 [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>10100 [1,1,1,1,0,1,0,1,0,0,0,0]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>11000 [1,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,1,4,5,6]=>[1,3,2,4,5,6]=>01000 [1,1,1,1,1,0,0,0,0,0,1,0]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>00001 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>00010 [1,1,1,1,1,0,0,0,1,0,0,0]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>00100 [1,1,1,1,1,0,0,1,0,0,0,0]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>01000 [1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [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]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>111111 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,2,1]=>[1,7,6,5,4,3,2]=>011111 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,2,1]=>[2,7,6,5,4,3,1]=>011111 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,2,1]=>[2,1,7,6,5,4,3]=>101111 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,2,1]=>[1,2,7,6,5,4,3]=>001111 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,2,1]=>[3,7,6,5,4,2,1]=>011111 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,2,1]=>[3,1,7,6,5,4,2]=>101111 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,2,1]=>[3,2,7,6,5,4,1]=>101111 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,2,1]=>[3,2,1,7,6,5,4]=>110111 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,2,1]=>[1,3,2,7,6,5,4]=>010111 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,2,1]=>[2,3,7,6,5,4,1]=>001111 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,2,1]=>[2,3,1,7,6,5,4]=>010111 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,2,1]=>[2,1,3,7,6,5,4]=>100111 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>000111 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,2,1]=>[4,7,6,5,3,2,1]=>011111 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,2,1]=>[4,1,7,6,5,3,2]=>101111 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,2,1]=>[4,2,7,6,5,3,1]=>101111 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,2,1]=>[4,2,1,7,6,5,3]=>110111 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,2,1]=>[1,4,2,7,6,5,3]=>010111 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>101111 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,2,1]=>[4,3,1,7,6,5,2]=>110111 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,2,1]=>[4,3,2,7,6,5,1]=>110111 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,2,1]=>[4,3,2,1,7,6,5]=>111011 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,2,1]=>[1,4,3,2,7,6,5]=>011011 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,2,1]=>[2,4,3,7,6,5,1]=>010111 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,2,1]=>[2,4,3,1,7,6,5]=>011011 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[2,1,4,3,7,6,5]=>101011 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,2,1]=>[1,2,4,3,7,6,5]=>001011 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>001111 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,2,1]=>[3,4,1,7,6,5,2]=>010111 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,2,1]=>[3,4,2,7,6,5,1]=>010111 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,2,1]=>[3,4,2,1,7,6,5]=>011011 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,2,1]=>[3,1,4,2,7,6,5]=>101011 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,2,1]=>[3,2,4,7,6,5,1]=>100111 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,2,1]=>[3,2,4,1,7,6,5]=>101011 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[3,2,1,4,7,6,5]=>110011 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,2,1]=>[1,3,2,4,7,6,5]=>010011 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1]=>[2,3,4,7,6,5,1]=>000111 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,2,1]=>[2,3,4,1,7,6,5]=>001011 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,2,1]=>[2,3,1,4,7,6,5]=>010011 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,2,1]=>[2,1,3,4,7,6,5]=>100011 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,2,1]=>[1,2,3,4,7,6,5]=>000011 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,3,1]=>[5,7,6,4,3,2,1]=>011111 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,3,1]=>[5,1,7,6,4,3,2]=>101111 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,3,1]=>[5,2,7,6,4,3,1]=>101111 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,3,1]=>[5,2,1,7,6,4,3]=>110111 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,3,1]=>[1,5,2,7,6,4,3]=>010111 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,3,1]=>[5,3,7,6,4,2,1]=>101111 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,3,1]=>[5,3,1,7,6,4,2]=>110111 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,3,1]=>[5,3,2,7,6,4,1]=>110111 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,3,1]=>[5,3,2,1,7,6,4]=>111011 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,3,1]=>[1,5,3,2,7,6,4]=>011011 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,3,1]=>[2,5,3,7,6,4,1]=>010111 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,3,1]=>[2,5,3,1,7,6,4]=>011011 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,3,1]=>[2,1,5,3,7,6,4]=>101011 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,3,1]=>[1,2,5,3,7,6,4]=>001011 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,4,1]=>[5,4,7,6,3,2,1]=>101111 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,4,1]=>[5,4,1,7,6,3,2]=>110111 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,4,1]=>[5,4,2,7,6,3,1]=>110111 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,4,1]=>[5,4,2,1,7,6,3]=>111011 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,4,1]=>[1,5,4,2,7,6,3]=>011011 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,5,1]=>[5,4,3,7,6,2,1]=>110111 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,5,1]=>[5,4,3,1,7,6,2]=>111011 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>111011 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,1]=>[5,4,3,2,1,7,6]=>111101 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,7,1]=>[1,5,4,3,2,7,6]=>011101 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,6,1]=>[2,5,4,3,7,6,1]=>011011 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,7,1]=>[2,5,4,3,1,7,6]=>011101 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,7,1]=>[2,1,5,4,3,7,6]=>101101 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,7,1]=>[1,2,5,4,3,7,6]=>001101 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,5,1]=>[3,5,4,7,6,2,1]=>010111 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,5,1]=>[3,5,4,1,7,6,2]=>011011 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>011011 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,7,1]=>[3,5,4,2,1,7,6]=>011101 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,7,1]=>[3,1,5,4,2,7,6]=>101101 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1]=>[3,2,5,4,7,6,1]=>101011 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>[3,2,5,4,1,7,6]=>101101 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,7,1]=>[3,2,1,5,4,7,6]=>110101 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,7,1]=>[1,3,2,5,4,7,6]=>010101 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,6,1]=>[2,3,5,4,7,6,1]=>001011 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>[2,3,5,4,1,7,6]=>001101 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,7,1]=>[2,3,1,5,4,7,6]=>010101 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,7,1]=>[2,1,3,5,4,7,6]=>100101 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,7,1]=>[1,2,3,5,4,7,6]=>000101 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,4,1]=>[4,5,7,6,3,2,1]=>001111 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,4,1]=>[4,5,1,7,6,3,2]=>010111 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,4,1]=>[4,5,2,7,6,3,1]=>010111 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,4,1]=>[4,5,2,1,7,6,3]=>011011 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,4,1]=>[4,1,5,2,7,6,3]=>101011 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,5,1]=>[4,5,3,7,6,2,1]=>010111 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,5,1]=>[4,5,3,1,7,6,2]=>011011 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,6,1]=>[4,5,3,2,7,6,1]=>011011 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,7,1]=>[4,5,3,2,1,7,6]=>011101 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,7,1]=>[4,1,5,3,2,7,6]=>101101 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,6,1]=>[4,2,5,3,7,6,1]=>101011 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,7,1]=>[4,2,5,3,1,7,6]=>101101 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,7,1]=>[4,2,1,5,3,7,6]=>110101 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,7,1]=>[1,4,2,5,3,7,6]=>010101 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,5,1]=>[4,3,5,7,6,2,1]=>100111 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,5,1]=>[4,3,5,1,7,6,2]=>101011 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,6,1]=>[4,3,5,2,7,6,1]=>101011 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,7,1]=>[4,3,5,2,1,7,6]=>101101 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,7,1]=>[4,3,1,5,2,7,6]=>110101 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>110011 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>[4,3,2,5,1,7,6]=>110101 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,7,1]=>[4,3,2,1,5,7,6]=>111001 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,7,1]=>[1,4,3,2,5,7,6]=>011001 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,6,1]=>[2,4,3,5,7,6,1]=>010011 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>[2,4,3,5,1,7,6]=>010101 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,7,1]=>[2,4,3,1,5,7,6]=>011001 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,7,1]=>[2,1,4,3,5,7,6]=>101001 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,7,1]=>[1,2,4,3,5,7,6]=>001001 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,5,1]=>[3,4,5,7,6,2,1]=>000111 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,5,1]=>[3,4,5,1,7,6,2]=>001011 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,6,1]=>[3,4,5,2,7,6,1]=>001011 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,7,1]=>[3,4,5,2,1,7,6]=>001101 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,7,1]=>[3,4,1,5,2,7,6]=>010101 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,6,1]=>[3,4,2,5,7,6,1]=>010011 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,7,1]=>[3,4,2,5,1,7,6]=>010101 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,7,1]=>[3,4,2,1,5,7,6]=>011001 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,7,1]=>[3,1,4,2,5,7,6]=>101001 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,6,1]=>[3,2,4,5,7,6,1]=>100011 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>[3,2,4,5,1,7,6]=>100101 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,7,1]=>[3,2,4,1,5,7,6]=>101001 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,7,1]=>[3,2,1,4,5,7,6]=>110001 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,7,1]=>[1,3,2,4,5,7,6]=>010001 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]=>000011 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>[2,3,4,5,1,7,6]=>000101 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,7,1]=>[2,3,4,1,5,7,6]=>001001 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,7,1]=>[2,3,1,4,5,7,6]=>010001 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,7,1]=>[2,1,3,4,5,7,6]=>100001 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,7,6]=>000001 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1]=>011111 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,3,1,2]=>[6,1,7,5,4,3,2]=>101111 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,3,1,2]=>[6,2,7,5,4,3,1]=>101111 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,3,1,2]=>[6,2,1,7,5,4,3]=>110111 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,3,1,2]=>[1,6,2,7,5,4,3]=>010111 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,3,1,2]=>[6,3,7,5,4,2,1]=>101111 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,3,1,2]=>[6,3,1,7,5,4,2]=>110111 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,3,1,2]=>[6,3,2,7,5,4,1]=>110111 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,3,1,2]=>[6,3,2,1,7,5,4]=>111011 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,3,1,2]=>[1,6,3,2,7,5,4]=>011011 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,3,1,2]=>[2,6,3,7,5,4,1]=>010111 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,3,1,2]=>[2,6,3,1,7,5,4]=>011011 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,3,1,2]=>[2,1,6,3,7,5,4]=>101011 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,3,1,2]=>[1,2,6,3,7,5,4]=>001011 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,4,1,2]=>[6,4,7,5,3,2,1]=>101111 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,4,1,2]=>[6,4,1,7,5,3,2]=>110111 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,4,1,2]=>[6,4,2,7,5,3,1]=>110111 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,4,1,2]=>[6,4,2,1,7,5,3]=>111011 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,4,1,2]=>[1,6,4,2,7,5,3]=>011011 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,5,1,2]=>[6,4,3,7,5,2,1]=>110111 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,5,1,2]=>[6,4,3,1,7,5,2]=>111011 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,6,1,2]=>[6,4,3,2,7,5,1]=>111011 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,7,1,2]=>[6,4,3,2,1,7,5]=>111101 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,7,1,2]=>[1,6,4,3,2,7,5]=>011101 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,6,1,2]=>[2,6,4,3,7,5,1]=>011011 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,7,1,2]=>[2,6,4,3,1,7,5]=>011101 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,7,1,2]=>[2,1,6,4,3,7,5]=>101101 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,7,1,2]=>[1,2,6,4,3,7,5]=>001101 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,5,1,2]=>[3,6,4,7,5,2,1]=>010111 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,5,1,2]=>[3,6,4,1,7,5,2]=>011011 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,6,1,2]=>[3,6,4,2,7,5,1]=>011011 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,7,1,2]=>[3,6,4,2,1,7,5]=>011101 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,7,1,2]=>[3,1,6,4,2,7,5]=>101101 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,6,1,2]=>[3,2,6,4,7,5,1]=>101011 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,7,1,2]=>[3,2,6,4,1,7,5]=>101101 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,1,2]=>[3,2,1,6,4,7,5]=>110101 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,7,1,2]=>[1,3,2,6,4,7,5]=>010101 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,6,1,2]=>[2,3,6,4,7,5,1]=>001011 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,7,1,2]=>[2,3,6,4,1,7,5]=>001101 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,7,1,2]=>[2,3,1,6,4,7,5]=>010101 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,7,1,2]=>[2,1,3,6,4,7,5]=>100101 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,7,1,2]=>[1,2,3,6,4,7,5]=>000101 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1]=>101111 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,2,1,3]=>[6,5,1,7,4,3,2]=>110111 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,2,1,3]=>[6,5,2,7,4,3,1]=>110111 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,2,1,3]=>[6,5,2,1,7,4,3]=>111011 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,2,1,3]=>[1,6,5,2,7,4,3]=>011011 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,2,1,3]=>[6,5,3,7,4,2,1]=>110111 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,2,1,3]=>[6,5,3,1,7,4,2]=>111011 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,2,1,3]=>[6,5,3,2,7,4,1]=>111011 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,2,1,3]=>[6,5,3,2,1,7,4]=>111101 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,2,1,3]=>[1,6,5,3,2,7,4]=>011101 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,2,1,3]=>[2,6,5,3,7,4,1]=>011011 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,2,1,3]=>[2,6,5,3,1,7,4]=>011101 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,2,1,3]=>[2,1,6,5,3,7,4]=>101101 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,2,1,3]=>[1,2,6,5,3,7,4]=>001101 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1]=>110111 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,2,1,4]=>[6,5,4,1,7,3,2]=>111011 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,2,1,4]=>[6,5,4,2,7,3,1]=>111011 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,2,1,4]=>[6,5,4,2,1,7,3]=>111101 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,2,1,4]=>[1,6,5,4,2,7,3]=>011101 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1]=>111011 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,2,1,5]=>[6,5,4,3,1,7,2]=>111101 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]=>111101 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>111110 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,2,1,7]=>[1,6,5,4,3,2,7]=>011110 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,2,1,6]=>[2,6,5,4,3,7,1]=>011101 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,2,1,7]=>[2,6,5,4,3,1,7]=>011110 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,2,1,7]=>[2,1,6,5,4,3,7]=>101110 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,2,1,7]=>[1,2,6,5,4,3,7]=>001110 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,2,1,5]=>[3,6,5,4,7,2,1]=>011011 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,2,1,5]=>[3,6,5,4,1,7,2]=>011101 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,2,1,6]=>[3,6,5,4,2,7,1]=>011101 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>011110 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,2,1,7]=>[3,1,6,5,4,2,7]=>101110 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,2,1,6]=>[3,2,6,5,4,7,1]=>101101 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,2,1,7]=>[3,2,6,5,4,1,7]=>101110 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,2,1,7]=>[3,2,1,6,5,4,7]=>110110 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,2,1,7]=>[1,3,2,6,5,4,7]=>010110 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,2,1,6]=>[2,3,6,5,4,7,1]=>001101 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,2,1,7]=>[2,3,6,5,4,1,7]=>001110 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,2,1,7]=>[2,3,1,6,5,4,7]=>010110 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,2,1,7]=>[2,1,3,6,5,4,7]=>100110 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,2,1,7]=>[1,2,3,6,5,4,7]=>000110 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,3,1,4]=>[4,6,5,7,3,2,1]=>010111 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,3,1,4]=>[4,6,5,1,7,3,2]=>011011 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,3,1,4]=>[4,6,5,2,7,3,1]=>011011 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,3,1,4]=>[4,6,5,2,1,7,3]=>011101 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,3,1,4]=>[4,1,6,5,2,7,3]=>101101 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,3,1,5]=>[4,6,5,3,7,2,1]=>011011 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,3,1,5]=>[4,6,5,3,1,7,2]=>011101 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,3,1,6]=>[4,6,5,3,2,7,1]=>011101 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,3,1,7]=>[4,6,5,3,2,1,7]=>011110 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,3,1,7]=>[4,1,6,5,3,2,7]=>101110 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,3,1,6]=>[4,2,6,5,3,7,1]=>101101 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,3,1,7]=>[4,2,6,5,3,1,7]=>101110 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,3,1,7]=>[4,2,1,6,5,3,7]=>110110 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,3,1,7]=>[1,4,2,6,5,3,7]=>010110 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,4,1,5]=>[4,3,6,5,7,2,1]=>101011 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,4,1,5]=>[4,3,6,5,1,7,2]=>101101 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,4,1,6]=>[4,3,6,5,2,7,1]=>101101 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,4,1,7]=>[4,3,6,5,2,1,7]=>101110 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,4,1,7]=>[4,3,1,6,5,2,7]=>110110 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,1,6]=>[4,3,2,6,5,7,1]=>110101 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>110110 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,6,1,7]=>[4,3,2,1,6,5,7]=>111010 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,6,1,7]=>[1,4,3,2,6,5,7]=>011010 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,5,1,6]=>[2,4,3,6,5,7,1]=>010101 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,5,1,7]=>[2,4,3,6,5,1,7]=>010110 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,6,1,7]=>[2,4,3,1,6,5,7]=>011010 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,6,1,7]=>[2,1,4,3,6,5,7]=>101010 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,6,1,7]=>[1,2,4,3,6,5,7]=>001010 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,4,1,5]=>[3,4,6,5,7,2,1]=>001011 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,4,1,5]=>[3,4,6,5,1,7,2]=>001101 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,4,1,6]=>[3,4,6,5,2,7,1]=>001101 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,4,1,7]=>[3,4,6,5,2,1,7]=>001110 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,4,1,7]=>[3,4,1,6,5,2,7]=>010110 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,5,1,6]=>[3,4,2,6,5,7,1]=>010101 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,5,1,7]=>[3,4,2,6,5,1,7]=>010110 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,6,1,7]=>[3,4,2,1,6,5,7]=>011010 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,6,1,7]=>[3,1,4,2,6,5,7]=>101010 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,5,1,6]=>[3,2,4,6,5,7,1]=>100101 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,5,1,7]=>[3,2,4,6,5,1,7]=>100110 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,6,1,7]=>[3,2,4,1,6,5,7]=>101010 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,6,1,7]=>[3,2,1,4,6,5,7]=>110010 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,6,1,7]=>[1,3,2,4,6,5,7]=>010010 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,5,1,6]=>[2,3,4,6,5,7,1]=>000101 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]=>000110 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,6,1,7]=>[2,3,4,1,6,5,7]=>001010 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,6,1,7]=>[2,3,1,4,6,5,7]=>010010 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,6,1,7]=>[2,1,3,4,6,5,7]=>100010 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,6,1,7]=>[1,2,3,4,6,5,7]=>000010 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1]=>001111 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[6,7,5,4,1,2,3]=>[5,6,1,7,4,3,2]=>010111 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[7,5,6,4,1,2,3]=>[5,6,2,7,4,3,1]=>010111 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[6,5,7,4,1,2,3]=>[5,6,2,1,7,4,3]=>011011 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[5,6,7,4,1,2,3]=>[5,1,6,2,7,4,3]=>101011 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[7,6,4,5,1,2,3]=>[5,6,3,7,4,2,1]=>010111 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[6,7,4,5,1,2,3]=>[5,6,3,1,7,4,2]=>011011 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[7,5,4,6,1,2,3]=>[5,6,3,2,7,4,1]=>011011 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[6,5,4,7,1,2,3]=>[5,6,3,2,1,7,4]=>011101 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[5,6,4,7,1,2,3]=>[5,1,6,3,2,7,4]=>101101 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[7,4,5,6,1,2,3]=>[5,2,6,3,7,4,1]=>101011 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[6,4,5,7,1,2,3]=>[5,2,6,3,1,7,4]=>101101 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[5,4,6,7,1,2,3]=>[5,2,1,6,3,7,4]=>110101 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,5,6,7,1,2,3]=>[1,5,2,6,3,7,4]=>010101 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[7,6,5,3,1,2,4]=>[5,6,4,7,3,2,1]=>010111 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[6,7,5,3,1,2,4]=>[5,6,4,1,7,3,2]=>011011 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[7,5,6,3,1,2,4]=>[5,6,4,2,7,3,1]=>011011 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[6,5,7,3,1,2,4]=>[5,6,4,2,1,7,3]=>011101 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[5,6,7,3,1,2,4]=>[5,1,6,4,2,7,3]=>101101 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[7,6,4,3,1,2,5]=>[5,6,4,3,7,2,1]=>011011 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[6,7,4,3,1,2,5]=>[5,6,4,3,1,7,2]=>011101 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[7,5,4,3,1,2,6]=>[5,6,4,3,2,7,1]=>011101 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7]=>011110 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[5,6,4,3,1,2,7]=>[5,1,6,4,3,2,7]=>101110 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[7,4,5,3,1,2,6]=>[5,2,6,4,3,7,1]=>101101 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[6,4,5,3,1,2,7]=>[5,2,6,4,3,1,7]=>101110 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[5,4,6,3,1,2,7]=>[5,2,1,6,4,3,7]=>110110 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,5,6,3,1,2,7]=>[1,5,2,6,4,3,7]=>010110 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[7,6,3,4,1,2,5]=>[5,3,6,4,7,2,1]=>101011 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[6,7,3,4,1,2,5]=>[5,3,6,4,1,7,2]=>101101 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[7,5,3,4,1,2,6]=>[5,3,6,4,2,7,1]=>101101 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[6,5,3,4,1,2,7]=>[5,3,6,4,2,1,7]=>101110 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[5,6,3,4,1,2,7]=>[5,3,1,6,4,2,7]=>110110 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[7,4,3,5,1,2,6]=>[5,3,2,6,4,7,1]=>110101 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[6,4,3,5,1,2,7]=>[5,3,2,6,4,1,7]=>110110 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[5,4,3,6,1,2,7]=>[5,3,2,1,6,4,7]=>111010 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,5,3,6,1,2,7]=>[1,5,3,2,6,4,7]=>011010 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[7,3,4,5,1,2,6]=>[2,5,3,6,4,7,1]=>010101 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[6,3,4,5,1,2,7]=>[2,5,3,6,4,1,7]=>010110 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[5,3,4,6,1,2,7]=>[2,5,3,1,6,4,7]=>011010 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,5,6,1,2,7]=>[2,1,5,3,6,4,7]=>101010 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,5,6,1,2,7]=>[1,2,5,3,6,4,7]=>001010 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[7,6,5,2,1,3,4]=>[5,4,6,7,3,2,1]=>100111 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[6,7,5,2,1,3,4]=>[5,4,6,1,7,3,2]=>101011 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[7,5,6,2,1,3,4]=>[5,4,6,2,7,3,1]=>101011 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[6,5,7,2,1,3,4]=>[5,4,6,2,1,7,3]=>101101 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,6,7,2,1,3,4]=>[5,4,1,6,2,7,3]=>110101 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[7,6,4,2,1,3,5]=>[5,4,6,3,7,2,1]=>101011 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[6,7,4,2,1,3,5]=>[5,4,6,3,1,7,2]=>101101 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[7,5,4,2,1,3,6]=>[5,4,6,3,2,7,1]=>101101 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7]=>101110 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[5,6,4,2,1,3,7]=>[5,4,1,6,3,2,7]=>110110 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[7,4,5,2,1,3,6]=>[5,4,2,6,3,7,1]=>110101 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[6,4,5,2,1,3,7]=>[5,4,2,6,3,1,7]=>110110 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[5,4,6,2,1,3,7]=>[5,4,2,1,6,3,7]=>111010 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,5,6,2,1,3,7]=>[1,5,4,2,6,3,7]=>011010 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,6,3,2,1,4,5]=>[5,4,3,6,7,2,1]=>110011 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,7,3,2,1,4,5]=>[5,4,3,6,1,7,2]=>110101 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[7,5,3,2,1,4,6]=>[5,4,3,6,2,7,1]=>110101 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7]=>110110 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,6,3,2,1,4,7]=>[5,4,3,1,6,2,7]=>111010 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1]=>111001 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7]=>111010 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>111100 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[4,5,3,2,1,6,7]=>[1,5,4,3,2,6,7]=>011100 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,1,5,6]=>[2,5,4,3,6,7,1]=>011001 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,3,4,2,1,5,7]=>[2,5,4,3,6,1,7]=>011010 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[5,3,4,2,1,6,7]=>[2,5,4,3,1,6,7]=>011100 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[4,3,5,2,1,6,7]=>[2,1,5,4,3,6,7]=>101100 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,2,1,6,7]=>[1,2,5,4,3,6,7]=>001100 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[7,6,2,3,1,4,5]=>[3,5,4,6,7,2,1]=>010011 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,7,2,3,1,4,5]=>[3,5,4,6,1,7,2]=>010101 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[7,5,2,3,1,4,6]=>[3,5,4,6,2,7,1]=>010101 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[6,5,2,3,1,4,7]=>[3,5,4,6,2,1,7]=>010110 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,6,2,3,1,4,7]=>[3,5,4,1,6,2,7]=>011010 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,4,2,3,1,5,6]=>[3,5,4,2,6,7,1]=>011001 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,4,2,3,1,5,7]=>[3,5,4,2,6,1,7]=>011010 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[5,4,2,3,1,6,7]=>[3,5,4,2,1,6,7]=>011100 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[4,5,2,3,1,6,7]=>[3,1,5,4,2,6,7]=>101100 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,3,2,4,1,5,6]=>[3,2,5,4,6,7,1]=>101001 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,3,2,4,1,5,7]=>[3,2,5,4,6,1,7]=>101010 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[5,3,2,4,1,6,7]=>[3,2,5,4,1,6,7]=>101100 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,2,5,1,6,7]=>[3,2,1,5,4,6,7]=>110100 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,4,2,5,1,6,7]=>[1,3,2,5,4,6,7]=>010100 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,4,1,5,6]=>[2,3,5,4,6,7,1]=>001001 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,3,4,1,5,7]=>[2,3,5,4,6,1,7]=>001010 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]=>001100 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[4,2,3,5,1,6,7]=>[2,3,1,5,4,6,7]=>010100 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,2,4,5,1,6,7]=>[2,1,3,5,4,6,7]=>100100 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,3,4,5,1,6,7]=>[1,2,3,5,4,6,7]=>000100 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1]=>000111 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[6,7,5,1,2,3,4]=>[4,5,6,1,7,3,2]=>001011 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[7,5,6,1,2,3,4]=>[4,5,6,2,7,3,1]=>001011 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[6,5,7,1,2,3,4]=>[4,5,6,2,1,7,3]=>001101 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,6,7,1,2,3,4]=>[4,5,1,6,2,7,3]=>010101 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[7,6,4,1,2,3,5]=>[4,5,6,3,7,2,1]=>001011 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[6,7,4,1,2,3,5]=>[4,5,6,3,1,7,2]=>001101 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[7,5,4,1,2,3,6]=>[4,5,6,3,2,7,1]=>001101 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7]=>001110 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[5,6,4,1,2,3,7]=>[4,5,1,6,3,2,7]=>010110 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[7,4,5,1,2,3,6]=>[4,5,2,6,3,7,1]=>010101 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[6,4,5,1,2,3,7]=>[4,5,2,6,3,1,7]=>010110 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[5,4,6,1,2,3,7]=>[4,5,2,1,6,3,7]=>011010 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,6,1,2,3,7]=>[4,1,5,2,6,3,7]=>101010 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[7,6,3,1,2,4,5]=>[4,5,3,6,7,2,1]=>010011 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[6,7,3,1,2,4,5]=>[4,5,3,6,1,7,2]=>010101 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[7,5,3,1,2,4,6]=>[4,5,3,6,2,7,1]=>010101 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7]=>010110 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,6,3,1,2,4,7]=>[4,5,3,1,6,2,7]=>011010 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[7,4,3,1,2,5,6]=>[4,5,3,2,6,7,1]=>011001 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7]=>011010 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[5,4,3,1,2,6,7]=>[4,5,3,2,1,6,7]=>011100 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,1,2,6,7]=>[4,1,5,3,2,6,7]=>101100 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,1,2,5,6]=>[4,2,5,3,6,7,1]=>101001 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,4,1,2,5,7]=>[4,2,5,3,6,1,7]=>101010 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[5,3,4,1,2,6,7]=>[4,2,5,3,1,6,7]=>101100 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,5,1,2,6,7]=>[4,2,1,5,3,6,7]=>110100 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[3,4,5,1,2,6,7]=>[1,4,2,5,3,6,7]=>010100 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[7,6,2,1,3,4,5]=>[4,3,5,6,7,2,1]=>100011 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,7,2,1,3,4,5]=>[4,3,5,6,1,7,2]=>100101 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[7,5,2,1,3,4,6]=>[4,3,5,6,2,7,1]=>100101 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[6,5,2,1,3,4,7]=>[4,3,5,6,2,1,7]=>100110 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,6,2,1,3,4,7]=>[4,3,5,1,6,2,7]=>101010 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1]=>101001 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7]=>101010 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[5,4,2,1,3,6,7]=>[4,3,5,2,1,6,7]=>101100 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,2,1,3,6,7]=>[4,3,1,5,2,6,7]=>110100 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1]=>110001 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,2,1,4,5,7]=>[4,3,2,5,6,1,7]=>110010 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[5,3,2,1,4,6,7]=>[4,3,2,5,1,6,7]=>110100 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>111000 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,4,2,1,5,6,7]=>[1,4,3,2,5,6,7]=>011000 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,3,1,4,5,6]=>[2,4,3,5,6,7,1]=>010001 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,2,3,1,4,5,7]=>[2,4,3,5,6,1,7]=>010010 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[5,2,3,1,4,6,7]=>[2,4,3,5,1,6,7]=>010100 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]=>011000 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,2,4,1,5,6,7]=>[2,1,4,3,5,6,7]=>101000 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,3,4,1,5,6,7]=>[1,2,4,3,5,6,7]=>001000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1]=>000011 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,7,1,2,3,4,5]=>[3,4,5,6,1,7,2]=>000101 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1]=>000101 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7]=>000110 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,6,1,2,3,4,7]=>[3,4,5,1,6,2,7]=>001010 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1]=>001001 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7]=>001010 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7]=>001100 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[4,5,1,2,3,6,7]=>[3,4,1,5,2,6,7]=>010100 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1]=>010001 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7]=>010010 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7]=>010100 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7]=>011000 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,4,1,2,5,6,7]=>[3,1,4,2,5,6,7]=>101000 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]=>100001 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7]=>100010 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7]=>100100 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7]=>101000 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>110000 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,3,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>010000 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>000001 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>000010 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>000100 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>001000 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>010000 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [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]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,2,1]=>[1,8,7,6,5,4,3,2]=>0111111 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,2,1]=>[2,8,7,6,5,4,3,1]=>0111111 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,2,1]=>[2,1,8,7,6,5,4,3]=>1011111 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,3,2,1]=>[1,2,8,7,6,5,4,3]=>0011111 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,2,1]=>[3,8,7,6,5,4,2,1]=>0111111 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,2,1]=>[3,1,8,7,6,5,4,2]=>1011111 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,2,1]=>[3,2,8,7,6,5,4,1]=>1011111 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,2,1]=>[3,2,1,8,7,6,5,4]=>1101111 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,2,1]=>[1,3,2,8,7,6,5,4]=>0101111 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,3,2,1]=>[2,3,8,7,6,5,4,1]=>0011111 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,3,2,1]=>[2,3,1,8,7,6,5,4]=>0101111 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,2,1]=>[2,1,3,8,7,6,5,4]=>1001111 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[1,2,3,8,7,6,5,4]=>0001111 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0111111 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,2,1]=>[4,1,8,7,6,5,3,2]=>1011111 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,2,1]=>[4,2,8,7,6,5,3,1]=>1011111 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,3,2,1]=>[4,2,1,8,7,6,5,3]=>1101111 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,3,2,1]=>[1,4,2,8,7,6,5,3]=>0101111 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,3,2,1]=>[4,3,8,7,6,5,2,1]=>1011111 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,3,2,1]=>[4,3,2,8,7,6,5,1]=>1101111 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,2,1]=>[4,3,2,1,8,7,6,5]=>1110111 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,3,2,1]=>[1,4,3,2,8,7,6,5]=>0110111 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,3,2,1]=>[2,4,3,8,7,6,5,1]=>0101111 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,3,2,1]=>[2,4,3,1,8,7,6,5]=>0110111 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,3,2,1]=>[2,1,4,3,8,7,6,5]=>1010111 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,3,2,1]=>[1,2,4,3,8,7,6,5]=>0010111 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,3,2,1]=>[3,4,8,7,6,5,2,1]=>0011111 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,3,2,1]=>[3,4,2,8,7,6,5,1]=>0101111 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,3,2,1]=>[3,4,2,1,8,7,6,5]=>0110111 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,3,2,1]=>[3,1,4,2,8,7,6,5]=>1010111 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,7,3,2,1]=>[3,2,4,8,7,6,5,1]=>1001111 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,3,2,1]=>[3,2,4,1,8,7,6,5]=>1010111 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,3,2,1]=>[3,2,1,4,8,7,6,5]=>1100111 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,3,2,1]=>[1,3,2,4,8,7,6,5]=>0100111 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,3,2,1]=>[2,3,4,8,7,6,5,1]=>0001111 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,3,2,1]=>[2,3,4,1,8,7,6,5]=>0010111 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,3,2,1]=>[2,3,1,4,8,7,6,5]=>0100111 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,2,1]=>[2,1,3,4,8,7,6,5]=>1000111 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[1,2,3,4,8,7,6,5]=>0000111 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,2,1]=>[5,8,7,6,4,3,2,1]=>0111111 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,2,1]=>[5,1,8,7,6,4,3,2]=>1011111 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,4,2,1]=>[5,2,8,7,6,4,3,1]=>1011111 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,2,1]=>[5,2,1,8,7,6,4,3]=>1101111 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,2,1]=>[5,3,8,7,6,4,2,1]=>1011111 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,2,1]=>[5,3,1,8,7,6,4,2]=>1101111 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,2,1]=>[5,3,2,1,8,7,6,4]=>1110111 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,4,2,1]=>[1,5,3,2,8,7,6,4]=>0110111 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,2,1]=>[2,1,5,3,8,7,6,4]=>1010111 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,2,1]=>[1,2,5,3,8,7,6,4]=>0010111 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,5,2,1]=>[5,4,1,8,7,6,3,2]=>1101111 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,5,2,1]=>[5,4,2,1,8,7,6,3]=>1110111 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,6,2,1]=>[5,4,3,8,7,6,2,1]=>1101111 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,2,1]=>[5,4,3,1,8,7,6,2]=>1110111 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,7,2,1]=>[5,4,3,2,8,7,6,1]=>1110111 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,2,1]=>[5,4,3,2,1,8,7,6]=>1111011 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,8,2,1]=>[1,5,4,3,2,8,7,6]=>0111011 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,8,2,1]=>[2,5,4,3,1,8,7,6]=>0111011 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,8,2,1]=>[2,1,5,4,3,8,7,6]=>1011011 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,8,2,1]=>[1,2,5,4,3,8,7,6]=>0011011 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,8,2,1]=>[3,5,4,2,1,8,7,6]=>0111011 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,8,2,1]=>[3,2,5,4,1,8,7,6]=>1011011 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,8,2,1]=>[2,3,5,4,1,8,7,6]=>0011011 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,8,2,1]=>[2,1,3,5,4,8,7,6]=>1001011 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,8,2,1]=>[1,2,3,5,4,8,7,6]=>0001011 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,2,1]=>[4,5,8,7,6,3,2,1]=>0011111 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,5,2,1]=>[4,5,1,8,7,6,3,2]=>0101111 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,5,2,1]=>[4,5,2,1,8,7,6,3]=>0110111 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,2,1]=>[4,1,5,2,8,7,6,3]=>1010111 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,6,2,1]=>[4,5,3,1,8,7,6,2]=>0110111 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,8,2,1]=>[4,5,3,2,1,8,7,6]=>0111011 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,8,2,1]=>[4,3,5,2,1,8,7,6]=>1011011 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,7,2,1]=>[4,3,2,5,8,7,6,1]=>1100111 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,8,2,1]=>[4,3,2,5,1,8,7,6]=>1101011 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,2,1]=>[4,3,2,1,5,8,7,6]=>1110011 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,8,2,1]=>[1,2,4,3,5,8,7,6]=>0010011 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,6,2,1]=>[3,4,5,8,7,6,2,1]=>0001111 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,6,2,1]=>[3,4,5,1,8,7,6,2]=>0010111 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,8,2,1]=>[3,4,5,2,1,8,7,6]=>0011011 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,7,2,1]=>[3,4,2,5,8,7,6,1]=>0100111 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,8,2,1]=>[3,4,2,5,1,8,7,6]=>0101011 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,8,2,1]=>[3,2,1,4,5,8,7,6]=>1100011 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,2,1]=>[2,3,4,5,8,7,6,1]=>0000111 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,8,2,1]=>[2,3,4,5,1,8,7,6]=>0001011 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,8,2,1]=>[2,3,4,1,5,8,7,6]=>0010011 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,2,1]=>[2,1,3,4,5,8,7,6]=>1000011 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,2,1]=>[1,2,3,4,5,8,7,6]=>0000011 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,3,1]=>[6,8,7,5,4,3,2,1]=>0111111 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,3,1]=>[6,1,8,7,5,4,3,2]=>1011111 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,2,3,1]=>[6,2,8,7,5,4,3,1]=>1011111 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,3,1]=>[6,2,1,8,7,5,4,3]=>1101111 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,2,3,1]=>[6,3,8,7,5,4,2,1]=>1011111 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,2,3,1]=>[6,3,2,8,7,5,4,1]=>1101111 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,2,3,1]=>[6,3,2,1,8,7,5,4]=>1110111 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,2,3,1]=>[2,6,3,8,7,5,4,1]=>0101111 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,3,1]=>[1,2,6,3,8,7,5,4]=>0010111 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,2,3,1]=>[6,4,8,7,5,3,2,1]=>1011111 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,3,1]=>[6,4,2,8,7,5,3,1]=>1101111 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,5,2,3,1]=>[6,4,2,1,8,7,5,3]=>1110111 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,2,3,1]=>[1,6,4,2,8,7,5,3]=>0110111 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,2,3,1]=>[6,4,3,2,8,7,5,1]=>1110111 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,2,3,1]=>[6,4,3,2,1,8,7,5]=>1111011 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,7,2,3,1]=>[2,6,4,3,8,7,5,1]=>0110111 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,8,2,3,1]=>[2,6,4,3,1,8,7,5]=>0111011 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,2,3,1]=>[2,1,6,4,3,8,7,5]=>1011011 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,2,3,1]=>[3,6,4,8,7,5,2,1]=>0101111 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,2,3,1]=>[3,6,4,2,8,7,5,1]=>0110111 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,3,1]=>[1,2,3,6,4,8,7,5]=>0001011 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,4,1]=>[6,5,8,7,4,3,2,1]=>1011111 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,2,4,1]=>[6,5,1,8,7,4,3,2]=>1101111 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,4,1]=>[6,5,2,8,7,4,3,1]=>1101111 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,2,4,1]=>[6,5,2,1,8,7,4,3]=>1110111 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,4,1]=>[1,6,5,2,8,7,4,3]=>0110111 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,4,1]=>[6,5,3,2,8,7,4,1]=>1110111 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,4,1]=>[6,5,3,2,1,8,7,4]=>1111011 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,4,1]=>[1,6,5,3,2,8,7,4]=>0111011 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,4,1]=>[1,2,6,5,3,8,7,4]=>0011011 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,5,1]=>[6,5,4,8,7,3,2,1]=>1101111 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,2,5,1]=>[6,5,4,1,8,7,3,2]=>1110111 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,5,1]=>[1,6,5,4,2,8,7,3]=>0111011 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,2,6,1]=>[6,5,4,3,8,7,2,1]=>1110111 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,6,1]=>[6,5,4,3,1,8,7,2]=>1111011 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>1111011 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[6,5,4,3,2,1,8,7]=>1111101 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,8,1]=>[1,6,5,4,3,2,8,7]=>0111101 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,2,7,1]=>[2,6,5,4,3,8,7,1]=>0111011 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,2,8,1]=>[2,6,5,4,3,1,8,7]=>0111101 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,8,1]=>[2,1,6,5,4,3,8,7]=>1011101 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,2,7,1]=>[3,6,5,4,2,8,7,1]=>0111011 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,3,2,8,1]=>[3,6,5,4,2,1,8,7]=>0111101 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,2,7,1]=>[3,2,6,5,4,8,7,1]=>1011011 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,2,8,1]=>[3,2,1,6,5,4,8,7]=>1101101 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,2,8,1]=>[2,3,6,5,4,1,8,7]=>0011101 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,3,2,8,1]=>[2,3,1,6,5,4,8,7]=>0101101 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,8,1]=>[1,2,3,6,5,4,8,7]=>0001101 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,5,1]=>[4,6,5,8,7,3,2,1]=>0101111 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,2,5,1]=>[4,6,5,2,8,7,3,1]=>0110111 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,4,2,5,1]=>[4,6,5,2,1,8,7,3]=>0111011 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,2,6,1]=>[4,6,5,3,1,8,7,2]=>0111011 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,2,7,1]=>[4,6,5,3,2,8,7,1]=>0111011 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,2,8,1]=>[4,6,5,3,2,1,8,7]=>0111101 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,2,7,1]=>[4,2,6,5,3,8,7,1]=>1011011 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,8,1]=>[4,2,6,5,3,1,8,7]=>1011101 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,2,8,1]=>[4,2,1,6,5,3,8,7]=>1101101 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,2,8,1]=>[1,4,2,6,5,3,8,7]=>0101101 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,5,2,6,1]=>[4,3,6,5,8,7,2,1]=>1010111 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,2,6,1]=>[4,3,6,5,1,8,7,2]=>1011011 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,2,7,1]=>[4,3,6,5,2,8,7,1]=>1011011 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,8,1]=>[4,3,6,5,2,1,8,7]=>1011101 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,6,2,7,1]=>[4,3,2,6,5,8,7,1]=>1101011 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,2,8,1]=>[4,3,2,6,5,1,8,7]=>1101101 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,2,8,1]=>[4,3,2,1,6,5,8,7]=>1110101 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,2,7,1]=>[2,4,3,6,5,8,7,1]=>0101011 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[7,4,5,3,6,2,8,1]=>[2,4,3,6,5,1,8,7]=>0101101 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,2,8,1]=>[2,4,3,1,6,5,8,7]=>0110101 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,2,8,1]=>[2,1,4,3,6,5,8,7]=>1010101 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,2,8,1]=>[1,2,4,3,6,5,8,7]=>0010101 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,2,8,1]=>[3,4,6,5,2,1,8,7]=>0011101 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,6,2,8,1]=>[3,4,2,6,5,1,8,7]=>0101101 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,2,8,1]=>[3,4,2,1,6,5,8,7]=>0110101 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,2,8,1]=>[3,1,4,2,6,5,8,7]=>1010101 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,2,7,1]=>[3,2,4,6,5,8,7,1]=>1001011 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,2,8,1]=>[3,2,4,1,6,5,8,7]=>1010101 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,2,8,1]=>[1,3,2,4,6,5,8,7]=>0100101 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,2,7,1]=>[2,3,4,6,5,8,7,1]=>0001011 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,2,8,1]=>[2,1,3,4,6,5,8,7]=>1000101 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,2,8,1]=>[1,2,3,4,6,5,8,7]=>0000101 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,4,1]=>[5,6,8,7,4,3,2,1]=>0011111 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,2,3,4,1]=>[5,6,2,8,7,4,3,1]=>0101111 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,4,1]=>[5,1,6,2,8,7,4,3]=>1010111 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,3,4,1]=>[5,6,3,1,8,7,4,2]=>0110111 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,4,1]=>[5,6,3,2,1,8,7,4]=>0111011 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,2,3,4,1]=>[5,1,6,3,2,8,7,4]=>1011011 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,2,3,4,1]=>[5,2,6,3,8,7,4,1]=>1010111 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,3,4,1]=>[5,2,1,6,3,8,7,4]=>1101011 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,4,1]=>[1,5,2,6,3,8,7,4]=>0101011 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,5,1]=>[5,6,4,8,7,3,2,1]=>0101111 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,5,1]=>[5,1,6,4,2,8,7,3]=>1011011 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,2,3,6,1]=>[5,6,4,3,8,7,2,1]=>0110111 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,3,8,1]=>[5,6,4,3,2,1,8,7]=>0111101 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,3,8,1]=>[5,1,6,4,3,2,8,7]=>1011101 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,2,3,7,1]=>[5,3,6,4,2,8,7,1]=>1011011 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,8,1]=>[5,3,1,6,4,2,8,7]=>1101101 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,2,3,8,1]=>[5,3,2,6,4,1,8,7]=>1101101 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,2,3,8,1]=>[5,3,2,1,6,4,8,7]=>1110101 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,2,3,8,1]=>[2,5,3,1,6,4,8,7]=>0110101 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,2,3,8,1]=>[2,1,5,3,6,4,8,7]=>1010101 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,8,1]=>[1,2,5,3,6,4,8,7]=>0010101 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,2,4,5,1]=>[5,4,6,2,8,7,3,1]=>1010111 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,2,4,7,1]=>[5,4,6,3,2,8,7,1]=>1011011 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,4,8,1]=>[5,4,6,3,2,1,8,7]=>1011101 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,2,4,8,1]=>[5,4,1,6,3,2,8,7]=>1101101 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,2,5,6,1]=>[5,4,3,6,8,7,2,1]=>1100111 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,6,1]=>[5,4,3,6,1,8,7,2]=>1101011 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,5,7,1]=>[5,4,3,6,2,8,7,1]=>1101011 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,2,5,8,1]=>[5,4,3,1,6,2,8,7]=>1110101 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>1110011 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,6,8,1]=>[5,4,3,2,6,1,8,7]=>1110101 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,7,8,1]=>[5,4,3,2,1,6,8,7]=>1111001 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,2,6,7,1]=>[2,5,4,3,6,8,7,1]=>0110011 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,2,7,8,1]=>[1,2,5,4,3,6,8,7]=>0011001 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,5,6,1]=>[3,5,4,6,1,8,7,2]=>0101011 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,2,7,8,1]=>[3,5,4,2,1,6,8,7]=>0111001 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,2,6,8,1]=>[3,2,5,4,6,1,8,7]=>1010101 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,2,7,8,1]=>[2,3,5,4,1,6,8,7]=>0011001 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,2,7,8,1]=>[2,1,3,5,4,6,8,7]=>1001001 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,7,8,1]=>[1,2,3,5,4,6,8,7]=>0001001 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,5,1]=>[4,5,6,8,7,3,2,1]=>0001111 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,2,3,4,5,1]=>[4,5,6,1,8,7,3,2]=>0010111 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,2,3,4,5,1]=>[4,5,6,2,8,7,3,1]=>0010111 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,2,3,4,5,1]=>[4,5,6,2,1,8,7,3]=>0011011 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,5,1]=>[4,5,1,6,2,8,7,3]=>0101011 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,8,1]=>[4,5,6,3,2,1,8,7]=>0011101 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,4,8,1]=>[4,1,5,2,6,3,8,7]=>1010101 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,5,7,1]=>[4,5,3,6,2,8,7,1]=>0101011 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,2,3,6,7,1]=>[4,5,3,2,6,8,7,1]=>0110011 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,2,3,6,8,1]=>[4,5,3,2,6,1,8,7]=>0110101 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,3,7,8,1]=>[4,5,3,2,1,6,8,7]=>0111001 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,3,6,8,1]=>[4,2,5,3,6,1,8,7]=>1010101 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,2,3,7,8,1]=>[1,4,2,5,3,6,8,7]=>0101001 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,5,6,1]=>[4,3,5,6,1,8,7,2]=>1001011 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,5,8,1]=>[4,3,5,6,2,1,8,7]=>1001101 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,5,8,1]=>[4,3,5,1,6,2,8,7]=>1010101 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,4,6,8,1]=>[4,3,5,2,6,1,8,7]=>1010101 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,4,7,8,1]=>[4,3,5,2,1,6,8,7]=>1011001 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[8,4,3,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]=>1100011 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,5,6,8,1]=>[4,3,2,5,6,1,8,7]=>1100101 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,7,8,1]=>[4,3,2,1,5,6,8,7]=>1110001 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,3,2,6,7,8,1]=>[1,4,3,2,5,6,8,7]=>0110001 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,6,7,1]=>[2,4,3,5,6,8,7,1]=>0100011 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,6,7,8,1]=>[2,1,4,3,5,6,8,7]=>1010001 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,7,8,1]=>[1,2,4,3,5,6,8,7]=>0010001 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,5,6,1]=>[3,4,5,6,8,7,2,1]=>0000111 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,5,6,1]=>[3,4,5,6,1,8,7,2]=>0001011 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,4,5,7,1]=>[3,4,5,6,2,8,7,1]=>0001011 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[7,6,2,3,4,5,8,1]=>[3,4,5,6,2,1,8,7]=>0001101 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,4,5,8,1]=>[3,4,5,1,6,2,8,7]=>0010101 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,3,4,6,8,1]=>[3,4,5,2,6,1,8,7]=>0010101 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[6,5,2,3,4,7,8,1]=>[3,4,5,2,1,6,8,7]=>0011001 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,5,6,7,1]=>[3,4,2,5,6,8,7,1]=>0100011 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,4,2,3,5,6,8,1]=>[3,4,2,5,6,1,8,7]=>0100101 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,5,6,7,1]=>[3,2,4,5,6,8,7,1]=>1000011 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,6,7,8,1]=>[3,2,4,1,5,6,8,7]=>1010001 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,6,7,8,1]=>[3,2,1,4,5,6,8,7]=>1100001 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,1]=>[1,3,2,4,5,6,8,7]=>0100001 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,8,7,1]=>0000011 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,6,8,1]=>[2,3,4,5,6,1,8,7]=>0000101 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,4,5,7,8,1]=>[2,3,4,5,1,6,8,7]=>0001001 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,7,8,1]=>[2,3,4,1,5,6,8,7]=>0010001 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,7,8,1]=>[2,3,1,4,5,6,8,7]=>0100001 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,1]=>[2,1,3,4,5,6,8,7]=>1000001 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,8,7]=>0000001 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,3,1,2]=>[7,8,6,5,4,3,2,1]=>0111111 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,3,1,2]=>[7,1,8,6,5,4,3,2]=>1011111 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,4,3,1,2]=>[7,2,8,6,5,4,3,1]=>1011111 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,3,1,2]=>[7,2,1,8,6,5,4,3]=>1101111 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,3,1,2]=>[7,3,8,6,5,4,2,1]=>1011111 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,3,1,2]=>[7,3,1,8,6,5,4,2]=>1101111 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,3,1,2]=>[7,3,2,8,6,5,4,1]=>1101111 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,3,1,2]=>[7,3,2,1,8,6,5,4]=>1110111 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,3,1,2]=>[1,7,3,2,8,6,5,4]=>0110111 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,3,1,2]=>[2,1,7,3,8,6,5,4]=>1010111 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,3,1,2]=>[1,2,7,3,8,6,5,4]=>0010111 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,3,1,2]=>[7,4,8,6,5,3,2,1]=>1011111 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,5,3,1,2]=>[7,4,1,8,6,5,3,2]=>1101111 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,3,1,2]=>[7,4,2,8,6,5,3,1]=>1101111 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,3,1,2]=>[1,7,4,2,8,6,5,3]=>0110111 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,3,1,2]=>[7,4,3,2,1,8,6,5]=>1111011 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,3,1,2]=>[3,7,4,1,8,6,5,2]=>0110111 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,8,3,1,2]=>[3,7,4,2,1,8,6,5]=>0111011 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,3,1,2]=>[3,1,7,4,2,8,6,5]=>1011011 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,3,1,2]=>[1,3,2,7,4,8,6,5]=>0101011 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,1,2]=>[2,1,3,7,4,8,6,5]=>1001011 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,3,1,2]=>[1,2,3,7,4,8,6,5]=>0001011 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,4,1,2]=>[7,5,8,6,4,3,2,1]=>1011111 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,4,1,2]=>[7,5,1,8,6,4,3,2]=>1101111 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,4,1,2]=>[7,5,2,1,8,6,4,3]=>1110111 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,4,1,2]=>[1,7,5,2,8,6,4,3]=>0110111 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,4,1,2]=>[7,5,3,8,6,4,2,1]=>1101111 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,4,1,2]=>[7,5,3,1,8,6,4,2]=>1110111 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,4,1,2]=>[7,5,3,2,8,6,4,1]=>1110111 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,4,1,2]=>[7,5,3,2,1,8,6,4]=>1111011 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,4,1,2]=>[1,7,5,3,2,8,6,4]=>0111011 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,3,4,1,2]=>[2,7,5,3,8,6,4,1]=>0110111 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,4,1,2]=>[2,7,5,3,1,8,6,4]=>0111011 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,4,1,2]=>[2,1,7,5,3,8,6,4]=>1011011 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,4,1,2]=>[1,2,7,5,3,8,6,4]=>0011011 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,5,1,2]=>[1,7,5,4,2,8,6,3]=>0111011 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,6,1,2]=>[7,5,4,3,1,8,6,2]=>1111011 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,7,1,2]=>[7,5,4,3,2,8,6,1]=>1111011 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,8,1,2]=>[7,5,4,3,2,1,8,6]=>1111101 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,8,1,2]=>[2,1,7,5,4,3,8,6]=>1011101 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,8,1,2]=>[1,2,7,5,4,3,8,6]=>0011101 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,3,6,1,2]=>[3,7,5,4,8,6,2,1]=>0110111 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,3,6,1,2]=>[3,7,5,4,1,8,6,2]=>0111011 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,3,8,1,2]=>[3,1,7,5,4,2,8,6]=>1011101 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[8,5,4,6,3,7,1,2]=>[3,2,7,5,4,8,6,1]=>1011011 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,3,8,1,2]=>[3,2,7,5,4,1,8,6]=>1011101 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,8,1,2]=>[3,2,1,7,5,4,8,6]=>1101101 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,8,1,2]=>[1,3,2,7,5,4,8,6]=>0101101 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,8,1,2]=>[2,1,3,7,5,4,8,6]=>1001101 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,8,1,2]=>[1,2,3,7,5,4,8,6]=>0001101 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,5,1,2]=>[4,7,5,8,6,3,2,1]=>0101111 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,5,1,2]=>[4,7,5,1,8,6,3,2]=>0110111 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,5,1,2]=>[4,7,5,2,8,6,3,1]=>0110111 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,5,1,2]=>[4,1,7,5,2,8,6,3]=>1011011 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[7,8,5,3,4,6,1,2]=>[4,7,5,3,1,8,6,2]=>0111011 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,8,1,2]=>[4,2,7,5,3,1,8,6]=>1011101 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,4,8,1,2]=>[1,4,2,7,5,3,8,6]=>0101101 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,5,6,1,2]=>[4,3,7,5,1,8,6,2]=>1011011 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,6,8,1,2]=>[4,3,2,7,5,1,8,6]=>1101101 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,1,2]=>[4,3,2,1,7,5,8,6]=>1110101 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,8,1,2]=>[1,4,3,2,7,5,8,6]=>0110101 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,7,8,1,2]=>[2,1,4,3,7,5,8,6]=>1010101 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,7,8,1,2]=>[1,2,4,3,7,5,8,6]=>0010101 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,6,1,2]=>[3,4,7,5,8,6,2,1]=>0010111 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,6,1,2]=>[3,4,7,5,1,8,6,2]=>0011011 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,8,1,2]=>[3,4,7,5,2,1,8,6]=>0011101 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[8,5,3,4,6,7,1,2]=>[3,4,2,7,5,8,6,1]=>0101011 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,7,8,1,2]=>[3,4,2,1,7,5,8,6]=>0110101 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,7,8,1,2]=>[3,1,4,2,7,5,8,6]=>1010101 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,7,1,2]=>[3,2,4,7,5,8,6,1]=>1001011 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,8,1,2]=>[3,2,4,1,7,5,8,6]=>1010101 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,8,1,2]=>[3,2,1,4,7,5,8,6]=>1100101 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,7,8,1,2]=>[1,3,2,4,7,5,8,6]=>0100101 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,7,1,2]=>[2,3,4,7,5,8,6,1]=>0001011 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,8,1,2]=>[2,3,4,7,5,1,8,6]=>0001101 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,7,8,1,2]=>[2,3,4,1,7,5,8,6]=>0010101 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[4,3,5,6,7,8,1,2]=>[2,1,3,4,7,5,8,6]=>1000101 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2]=>[1,2,3,4,7,5,8,6]=>0000101 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,2,1,3]=>[7,6,8,5,4,3,2,1]=>1011111 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,2,1,3]=>[7,6,1,8,5,4,3,2]=>1101111 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,2,1,3]=>[7,6,2,1,8,5,4,3]=>1110111 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,2,1,3]=>[1,7,6,2,8,5,4,3]=>0110111 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,4,2,1,3]=>[7,6,3,8,5,4,2,1]=>1101111 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,4,2,1,3]=>[7,6,3,2,8,5,4,1]=>1110111 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,4,2,1,3]=>[7,6,3,2,1,8,5,4]=>1111011 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,2,1,3]=>[2,1,7,6,3,8,5,4]=>1011011 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,2,1,3]=>[1,2,7,6,3,8,5,4]=>0011011 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,2,1,3]=>[7,6,4,8,5,3,2,1]=>1101111 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,2,1,3]=>[7,6,4,2,8,5,3,1]=>1110111 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,7,2,1,3]=>[7,6,4,3,2,8,5,1]=>1111011 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,2,1,3]=>[7,6,4,3,2,1,8,5]=>1111101 [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,2,1,3]=>[1,7,6,4,3,2,8,5]=>0111101 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,2,1,3]=>[3,7,6,4,8,5,2,1]=>0110111 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,2,1,3]=>[3,7,6,4,2,8,5,1]=>0111011 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,2,1,3]=>[3,2,7,6,4,1,8,5]=>1011101 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,2,1,3]=>[1,2,3,7,6,4,8,5]=>0001101 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,2,1,4]=>[7,6,5,8,4,3,2,1]=>1101111 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,2,1,4]=>[7,6,5,1,8,4,3,2]=>1110111 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,2,1,4]=>[7,6,5,2,8,4,3,1]=>1110111 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,2,1,4]=>[7,6,5,2,1,8,4,3]=>1111011 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,3,2,1,4]=>[1,7,6,5,2,8,4,3]=>0111011 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,2,1,4]=>[7,6,5,3,8,4,2,1]=>1110111 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,2,1,4]=>[7,6,5,3,1,8,4,2]=>1111011 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,2,1,4]=>[7,6,5,3,2,8,4,1]=>1111011 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,3,2,1,4]=>[7,6,5,3,2,1,8,4]=>1111101 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,2,1,4]=>[1,7,6,5,3,2,8,4]=>0111101 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,2,1,4]=>[2,7,6,5,3,1,8,4]=>0111101 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,2,1,4]=>[2,1,7,6,5,3,8,4]=>1011101 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,2,1,4]=>[1,2,7,6,5,3,8,4]=>0011101 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,2,1,5]=>[7,6,5,4,8,3,2,1]=>1110111 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[7,8,6,4,3,2,1,5]=>[7,6,5,4,1,8,3,2]=>1111011 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,3,2,1,5]=>[7,6,5,4,2,8,3,1]=>1111011 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[7,6,8,4,3,2,1,5]=>[7,6,5,4,2,1,8,3]=>1111101 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,2,1,5]=>[1,7,6,5,4,2,8,3]=>0111101 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,2,1,6]=>[7,6,5,4,3,8,2,1]=>1111011 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,2,1,6]=>[7,6,5,4,3,1,8,2]=>1111101 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,2,1,7]=>[7,6,5,4,3,2,8,1]=>1111101 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1111110 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,3,2,1,8]=>[1,7,6,5,4,3,2,8]=>0111110 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,3,2,1,7]=>[2,7,6,5,4,3,8,1]=>0111101 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,2,1,8]=>[2,7,6,5,4,3,1,8]=>0111110 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,3,2,1,8]=>[2,1,7,6,5,4,3,8]=>1011110 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,3,2,1,8]=>[1,2,7,6,5,4,3,8]=>0011110 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,3,2,1,6]=>[3,7,6,5,4,8,2,1]=>0111011 [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,3,2,1,6]=>[3,7,6,5,4,1,8,2]=>0111101 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,3,2,1,8]=>[3,1,7,6,5,4,2,8]=>1011110 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,3,2,1,8]=>[3,2,1,7,6,5,4,8]=>1101110 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,3,2,1,8]=>[1,3,2,7,6,5,4,8]=>0101110 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,3,2,1,7]=>[2,3,7,6,5,4,8,1]=>0011101 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,2,1,8]=>[2,3,7,6,5,4,1,8]=>0011110 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,2,1,8]=>[1,2,3,7,6,5,4,8]=>0001110 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,2,1,5]=>[4,7,6,5,8,3,2,1]=>0110111 [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,4,2,1,5]=>[4,7,6,5,1,8,3,2]=>0111011 [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,2,1,5]=>[4,1,7,6,5,2,8,3]=>1011101 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,4,2,1,6]=>[4,7,6,5,3,8,2,1]=>0111011 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,2,1,7]=>[4,7,6,5,3,2,8,1]=>0111101 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,2,1,8]=>[4,7,6,5,3,2,1,8]=>0111110 [1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[6,7,5,3,4,2,1,8]=>[4,1,7,6,5,3,2,8]=>1011110 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,2,1,8]=>[4,2,7,6,5,3,1,8]=>1011110 [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,5,2,1,7]=>[4,3,7,6,5,2,8,1]=>1011101 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,5,2,1,8]=>[4,3,7,6,5,2,1,8]=>1011110 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,2,1,8]=>[4,3,2,1,7,6,5,8]=>1110110 [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,7,2,1,8]=>[1,4,3,2,7,6,5,8]=>0110110 [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,2,1,7]=>[2,4,3,7,6,5,8,1]=>0101101 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,2,1,6]=>[3,4,7,6,5,8,2,1]=>0011011 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]=>0011110 [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,2,1,7]=>[3,2,4,7,6,5,8,1]=>1001101 [1,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,7,2,1,8]=>[3,2,1,4,7,6,5,8]=>1100110 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,2,1,7]=>[2,3,4,7,6,5,8,1]=>0001101 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[7,3,4,5,6,2,1,8]=>[2,3,4,7,6,5,1,8]=>0001110 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,2,1,8]=>[1,2,3,4,7,6,5,8]=>0000110 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,3,1,4]=>[5,7,6,8,4,3,2,1]=>0101111 [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,2,3,1,4]=>[5,7,6,1,8,4,3,2]=>0110111 [1,1,0,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,3,1,4]=>[5,1,7,6,2,8,4,3]=>1011011 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,3,1,4]=>[5,7,6,3,1,8,4,2]=>0111011 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,2,3,1,4]=>[5,7,6,3,2,1,8,4]=>0111101 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,3,1,4]=>[5,2,7,6,3,1,8,4]=>1011101 [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,3,1,4]=>[5,2,1,7,6,3,8,4]=>1101101 [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,3,1,4]=>[1,5,2,7,6,3,8,4]=>0101101 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,3,1,5]=>[5,7,6,4,8,3,2,1]=>0110111 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,3,1,5]=>[5,1,7,6,4,2,8,3]=>1011101 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,3,1,7]=>[5,7,6,4,3,2,8,1]=>0111101 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,3,1,8]=>[5,7,6,4,3,2,1,8]=>0111110 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,2,3,1,8]=>[5,1,7,6,4,3,2,8]=>1011110 [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,2,3,1,6]=>[5,3,7,6,4,8,2,1]=>1011011 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,2,3,1,6]=>[5,3,7,6,4,1,8,2]=>1011101 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,3,1,8]=>[5,3,7,6,4,2,1,8]=>1011110 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,2,3,1,8]=>[5,3,1,7,6,4,2,8]=>1101110 [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,2,3,1,8]=>[5,3,2,7,6,4,1,8]=>1101110 [1,1,0,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,2,3,1,8]=>[5,3,2,1,7,6,4,8]=>1110110 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,2,3,1,8]=>[1,5,3,2,7,6,4,8]=>0110110 [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,2,3,1,7]=>[2,5,3,7,6,4,8,1]=>0101101 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,3,1,8]=>[2,5,3,7,6,4,1,8]=>0101110 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,3,1,8]=>[1,2,5,3,7,6,4,8]=>0010110 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,4,1,5]=>[5,4,7,6,8,3,2,1]=>1010111 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,4,1,5]=>[5,4,1,7,6,2,8,3]=>1101101 [1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,4,1,6]=>[5,4,7,6,3,8,2,1]=>1011011 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,4,1,8]=>[5,4,7,6,3,2,1,8]=>1011110 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,2,4,1,8]=>[5,4,2,1,7,6,3,8]=>1110110 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,5,1,6]=>[5,4,3,7,6,1,8,2]=>1101101 [1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,5,1,7]=>[5,4,3,7,6,2,8,1]=>1101101 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,5,1,8]=>[5,4,3,7,6,2,1,8]=>1101110 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,7,4,3,2,5,1,8]=>[5,4,3,1,7,6,2,8]=>1110110 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,6,1,7]=>[5,4,3,2,7,6,8,1]=>1110101 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>1110110 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,7,1,8]=>[5,4,3,2,1,7,6,8]=>1111010 [1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,2,7,1,8]=>[1,5,4,3,2,7,6,8]=>0111010 [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,2,7,1,8]=>[2,1,5,4,3,7,6,8]=>1011010 [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,2,5,1,6]=>[3,5,4,7,6,8,2,1]=>0101011 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,2,5,1,6]=>[3,5,4,7,6,1,8,2]=>0101101 [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,6,1,8]=>[3,5,4,2,7,6,1,8]=>0110110 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,2,6,1,7]=>[3,2,5,4,7,6,8,1]=>1010101 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,2,7,1,8]=>[3,2,1,5,4,7,6,8]=>1101010 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[4,5,3,6,2,7,1,8]=>[1,3,2,5,4,7,6,8]=>0101010 [1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,2,7,1,8]=>[2,3,5,4,1,7,6,8]=>0011010 [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[5,3,4,6,2,7,1,8]=>[2,3,1,5,4,7,6,8]=>0101010 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,7,1,8]=>[1,2,3,5,4,7,6,8]=>0001010 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,4,1,5]=>[4,5,7,6,8,3,2,1]=>0010111 [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,3,4,1,5]=>[4,5,1,7,6,2,8,3]=>0101101 [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,2,3,4,1,6]=>[4,5,7,6,3,1,8,2]=>0011101 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,4,1,8]=>[4,5,7,6,3,2,1,8]=>0011110 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,2,3,4,1,8]=>[4,5,1,7,6,3,2,8]=>0101110 [1,1,0,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,3,4,1,7]=>[4,5,2,7,6,3,8,1]=>0101101 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,4,1,8]=>[4,5,2,7,6,3,1,8]=>0101110 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,2,3,4,1,8]=>[4,5,2,1,7,6,3,8]=>0110110 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,4,1,8]=>[4,1,5,2,7,6,3,8]=>1010110 [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,5,1,7]=>[4,5,3,7,6,2,8,1]=>0101101 [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,3,5,1,8]=>[4,5,3,7,6,2,1,8]=>0101110 [1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[6,7,4,2,3,5,1,8]=>[4,5,3,1,7,6,2,8]=>0110110 [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[7,5,4,2,3,6,1,8]=>[4,5,3,2,7,6,1,8]=>0110110 [1,1,0,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,2,3,6,1,7]=>[4,2,5,3,7,6,8,1]=>1010101 [1,1,0,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,3,6,1,8]=>[4,2,5,3,7,6,1,8]=>1010110 [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,3,7,1,8]=>[4,2,1,5,3,7,6,8]=>1101010 [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,5,1,8]=>[4,3,5,7,6,2,1,8]=>1001110 [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,4,5,1,8]=>[4,3,5,1,7,6,2,8]=>1010110 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,4,6,1,7]=>[4,3,5,2,7,6,8,1]=>1010101 [1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,4,6,1,8]=>[4,3,5,2,7,6,1,8]=>1010110 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,7,1,8]=>[4,3,2,1,5,7,6,8]=>1110010 [1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,5,6,1,7]=>[2,4,3,5,7,6,8,1]=>0100101 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,7,1,8]=>[1,2,4,3,5,7,6,8]=>0010010 [1,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,5,1,6]=>[3,4,5,7,6,8,2,1]=>0001011 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,5,1,6]=>[3,4,5,7,6,1,8,2]=>0001101 [1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[8,5,2,3,4,6,1,7]=>[3,4,5,2,7,6,8,1]=>0010101 [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,4,2,3,5,6,1,8]=>[3,4,2,5,7,6,1,8]=>0100110 [1,1,0,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[6,4,2,3,5,7,1,8]=>[3,4,2,5,1,7,6,8]=>0101010 [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,4,5,6,1,7]=>[3,2,4,5,7,6,8,1]=>1000101 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,7,1,8]=>[1,3,2,4,5,7,6,8]=>0100010 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,6,1,7]=>[2,3,4,5,7,6,8,1]=>0000101 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,6,1,8]=>[2,3,4,5,7,6,1,8]=>0000110 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,4,5,7,1,8]=>[2,3,4,5,1,7,6,8]=>0001010 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,7,1,8]=>[2,3,4,1,5,7,6,8]=>0010010 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,6,7,1,8]=>[2,3,1,4,5,7,6,8]=>0100010 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,7,1,8]=>[2,1,3,4,5,7,6,8]=>1000010 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8]=>[1,2,3,4,5,7,6,8]=>0000010 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,4,1,2,3]=>[6,7,8,5,4,3,2,1]=>0011111 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,4,1,2,3]=>[6,7,1,8,5,4,3,2]=>0101111 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,4,1,2,3]=>[6,7,2,1,8,5,4,3]=>0110111 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,4,1,2,3]=>[6,1,7,2,8,5,4,3]=>1010111 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,4,1,2,3]=>[6,7,3,1,8,5,4,2]=>0110111 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,4,1,2,3]=>[6,1,7,3,2,8,5,4]=>1011011 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,4,1,2,3]=>[6,2,7,3,8,5,4,1]=>1010111 [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,4,1,2,3]=>[6,2,7,3,1,8,5,4]=>1011011 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,4,1,2,3]=>[6,2,1,7,3,8,5,4]=>1101011 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,4,1,2,3]=>[1,6,2,7,3,8,5,4]=>0101011 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,5,1,2,3]=>[6,7,4,8,5,3,2,1]=>0101111 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,5,1,2,3]=>[6,7,4,2,8,5,3,1]=>0110111 [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,5,1,2,3]=>[6,1,7,4,2,8,5,3]=>1011011 [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,6,1,2,3]=>[6,7,4,3,8,5,2,1]=>0110111 [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,6,1,2,3]=>[6,7,4,3,1,8,5,2]=>0111011 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,8,1,2,3]=>[6,7,4,3,2,1,8,5]=>0111101 [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[6,7,5,4,8,1,2,3]=>[6,1,7,4,3,2,8,5]=>1011101 [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[6,5,7,4,8,1,2,3]=>[6,2,1,7,4,3,8,5]=>1101101 [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,8,1,2,3]=>[1,6,2,7,4,3,8,5]=>0101101 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,6,1,2,3]=>[6,3,7,4,8,5,2,1]=>1010111 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,6,1,2,3]=>[6,3,7,4,1,8,5,2]=>1011011 [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,7,1,2,3]=>[6,3,7,4,2,8,5,1]=>1011011 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[6,7,4,5,8,1,2,3]=>[6,3,1,7,4,2,8,5]=>1101101 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,8,1,2,3]=>[6,3,2,7,4,1,8,5]=>1101101 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[6,5,4,7,8,1,2,3]=>[6,3,2,1,7,4,8,5]=>1110101 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,8,1,2,3]=>[1,6,3,2,7,4,8,5]=>0110101 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,7,1,2,3]=>[2,6,3,7,4,8,5,1]=>0101011 [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,8,1,2,3]=>[2,6,3,7,4,1,8,5]=>0101101 [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[6,4,5,7,8,1,2,3]=>[2,6,3,1,7,4,8,5]=>0110101 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,8,1,2,3]=>[2,1,6,3,7,4,8,5]=>1010101 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,8,1,2,3]=>[1,2,6,3,7,4,8,5]=>0010101 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,3,1,2,4]=>[6,7,5,8,4,3,2,1]=>0101111 [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,3,1,2,4]=>[6,7,5,1,8,4,3,2]=>0110111 [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,3,1,2,4]=>[6,7,5,2,8,4,3,1]=>0110111 [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,3,1,2,4]=>[6,7,5,2,1,8,4,3]=>0111011 [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,3,1,2,4]=>[6,7,5,3,8,4,2,1]=>0110111 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,3,1,2,4]=>[6,7,5,3,1,8,4,2]=>0111011 [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,3,1,2,4]=>[6,7,5,3,2,8,4,1]=>0111011 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,3,1,2,4]=>[6,1,7,5,3,2,8,4]=>1011101 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,3,1,2,4]=>[6,2,7,5,3,1,8,4]=>1011101 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,3,1,2,4]=>[6,2,1,7,5,3,8,4]=>1101101 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,3,1,2,4]=>[1,6,2,7,5,3,8,4]=>0101101 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,3,1,2,5]=>[6,7,5,4,8,3,2,1]=>0110111 [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,3,1,2,5]=>[6,1,7,5,4,2,8,3]=>1011101 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,3,1,2,6]=>[6,7,5,4,3,8,2,1]=>0111011 [1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,3,1,2,6]=>[6,7,5,4,3,1,8,2]=>0111101 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,3,1,2,7]=>[6,7,5,4,3,2,8,1]=>0111101 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,1,2,8]=>[6,7,5,4,3,2,1,8]=>0111110 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,3,1,2,8]=>[6,2,7,5,4,3,1,8]=>1011110 [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[8,6,4,5,3,1,2,7]=>[6,3,7,5,4,2,8,1]=>1011101 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,3,1,2,8]=>[2,6,3,7,5,4,1,8]=>0101110 [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,3,1,2,8]=>[2,1,6,3,7,5,4,8]=>1010110 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,3,1,2,8]=>[1,2,6,3,7,5,4,8]=>0010110 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,4,1,2,5]=>[6,4,7,5,8,3,2,1]=>1010111 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,4,1,2,5]=>[6,4,7,5,2,8,3,1]=>1011011 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,4,1,2,5]=>[6,4,1,7,5,2,8,3]=>1101101 [1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,4,1,2,7]=>[6,4,7,5,3,2,8,1]=>1011101 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,4,1,2,8]=>[6,4,7,5,3,2,1,8]=>1011110 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,4,1,2,7]=>[6,4,2,7,5,3,8,1]=>1101101 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,4,1,2,8]=>[6,4,2,7,5,3,1,8]=>1101110 [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[6,5,7,3,4,1,2,8]=>[6,4,2,1,7,5,3,8]=>1110110 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,7,1,2,8]=>[6,4,3,2,1,7,5,8]=>1111010 [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,6,1,2,7]=>[2,6,4,3,7,5,8,1]=>0110101 [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,7,1,2,8]=>[2,6,4,3,1,7,5,8]=>0111010 [1,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,5,1,2,6]=>[3,6,4,7,5,8,2,1]=>0101011 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,5,1,2,6]=>[3,6,4,7,5,1,8,2]=>0101101 [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,5,1,2,7]=>[3,6,4,7,5,2,8,1]=>0101101 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[8,4,3,5,6,1,2,7]=>[3,2,6,4,7,5,8,1]=>1010101 [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,7,1,2,8]=>[3,2,6,4,1,7,5,8]=>1011010 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,6,1,2,7]=>[2,3,6,4,7,5,8,1]=>0010101 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,7,1,2,8]=>[1,2,3,6,4,7,5,8]=>0001010 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,2,1,3,4]=>[6,5,7,8,4,3,2,1]=>1001111 [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,2,1,3,4]=>[6,5,7,1,8,4,3,2]=>1010111 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,2,1,3,4]=>[6,5,7,2,1,8,4,3]=>1011011 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,2,1,3,4]=>[6,5,1,7,2,8,4,3]=>1101011 [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,2,1,3,4]=>[6,5,7,3,8,4,2,1]=>1010111 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,2,1,3,4]=>[6,5,7,3,1,8,4,2]=>1011011 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,2,1,3,4]=>[6,5,2,7,3,1,8,4]=>1101101 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,2,1,3,4]=>[6,5,2,1,7,3,8,4]=>1110101 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,2,1,3,4]=>[1,6,5,2,7,3,8,4]=>0110101 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,2,1,3,5]=>[6,5,7,4,8,3,2,1]=>1010111 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[8,6,7,4,2,1,3,5]=>[6,5,7,4,2,8,3,1]=>1011011 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,2,1,3,5]=>[6,5,1,7,4,2,8,3]=>1101101 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,2,1,3,6]=>[6,5,7,4,3,1,8,2]=>1011101 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,2,1,3,7]=>[6,5,7,4,3,2,8,1]=>1011101 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,2,1,3,8]=>[6,5,7,4,3,2,1,8]=>1011110 [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,2,1,3,7]=>[6,5,2,7,4,3,8,1]=>1101101 [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,2,1,3,8]=>[6,5,3,7,4,2,1,8]=>1101110 [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,2,1,3,8]=>[6,5,3,2,7,4,1,8]=>1110110 [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,2,1,3,7]=>[2,6,5,3,7,4,8,1]=>0110101 [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,2,1,3,8]=>[2,6,5,3,7,4,1,8]=>0110110 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,2,1,3,8]=>[1,2,6,5,3,7,4,8]=>0011010 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,2,1,4,5]=>[6,5,4,7,8,3,2,1]=>1100111 [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[7,6,8,3,2,1,4,5]=>[6,5,4,7,2,1,8,3]=>1101101 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,2,1,4,5]=>[6,5,4,1,7,2,8,3]=>1110101 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[8,7,5,3,2,1,4,6]=>[6,5,4,7,3,8,2,1]=>1101011 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[8,6,5,3,2,1,4,7]=>[6,5,4,7,3,2,8,1]=>1101101 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[7,6,5,3,2,1,4,8]=>[6,5,4,7,3,2,1,8]=>1101110 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[8,7,4,3,2,1,5,6]=>[6,5,4,3,7,8,2,1]=>1110011 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,2,1,5,6]=>[6,5,4,3,7,1,8,2]=>1110101 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[8,6,4,3,2,1,5,7]=>[6,5,4,3,7,2,8,1]=>1110101 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,2,1,5,8]=>[6,5,4,3,7,2,1,8]=>1110110 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,5,4,3,2,1,6,7]=>[6,5,4,3,2,7,8,1]=>1111001 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,2,1,6,8]=>[6,5,4,3,2,7,1,8]=>1111010 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1111100 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,2,1,7,8]=>[1,6,5,4,3,2,7,8]=>0111100 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[8,4,5,3,2,1,6,7]=>[2,6,5,4,3,7,8,1]=>0111001 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[4,5,6,3,2,1,7,8]=>[1,2,6,5,4,3,7,8]=>0011100 [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[8,7,3,4,2,1,5,6]=>[3,6,5,4,7,8,2,1]=>0110011 [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,2,1,5,7]=>[3,6,5,4,7,2,8,1]=>0110101 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[7,6,3,4,2,1,5,8]=>[3,6,5,4,7,2,1,8]=>0110110 [1,1,1,0,1,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,2,1,5,8]=>[3,6,5,4,1,7,2,8]=>0111010 [1,1,1,0,1,0,1,1,0,0,1,0,1,0,0,0]=>[6,5,3,4,2,1,7,8]=>[3,6,5,4,2,1,7,8]=>0111100 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,2,1,7,8]=>[3,1,6,5,4,2,7,8]=>1011100 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,4,3,5,2,1,6,8]=>[3,2,6,5,4,7,1,8]=>1011010 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,2,1,7,8]=>[3,2,1,6,5,4,7,8]=>1101100 [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,2,1,6,7]=>[2,3,6,5,4,7,8,1]=>0011001 [1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0]=>[6,3,4,5,2,1,7,8]=>[2,3,6,5,4,1,7,8]=>0011100 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,2,1,7,8]=>[1,2,3,6,5,4,7,8]=>0001100 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,3,1,4,5]=>[4,6,5,7,8,3,2,1]=>0100111 [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,2,3,1,4,5]=>[4,6,5,7,2,1,8,3]=>0101101 [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,2,3,1,4,7]=>[4,6,5,7,3,2,8,1]=>0101101 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,3,1,4,8]=>[4,6,5,7,3,2,1,8]=>0101110 [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,3,1,4,7]=>[4,6,5,2,7,3,8,1]=>0110101 [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,3,1,4,8]=>[4,6,5,2,7,3,1,8]=>0110110 [1,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,2,3,1,4,8]=>[4,6,5,2,1,7,3,8]=>0111010 [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,3,1,4,8]=>[4,1,6,5,2,7,3,8]=>1011010 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,3,1,5,6]=>[4,6,5,3,7,1,8,2]=>0110101 [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,3,1,5,7]=>[4,6,5,3,7,2,8,1]=>0110101 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,3,1,7,8]=>[4,2,1,6,5,3,7,8]=>1101100 [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,4,1,5,6]=>[4,3,6,5,7,8,2,1]=>1010011 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,4,1,5,6]=>[4,3,6,5,7,1,8,2]=>1010101 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[8,6,3,2,4,1,5,7]=>[4,3,6,5,7,2,8,1]=>1010101 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,4,1,5,8]=>[4,3,6,5,7,2,1,8]=>1010110 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,4,1,7,8]=>[4,3,1,6,5,2,7,8]=>1101100 [1,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,5,1,7,8]=>[4,3,2,6,5,1,7,8]=>1101100 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,6,1,7,8]=>[4,3,2,1,6,5,7,8]=>1110100 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,6,1,7,8]=>[2,1,4,3,6,5,7,8]=>1010100 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,6,1,7,8]=>[1,2,4,3,6,5,7,8]=>0010100 [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,4,1,5,6]=>[3,4,6,5,7,8,2,1]=>0010011 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,4,1,5,6]=>[3,4,6,5,7,1,8,2]=>0010101 [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[8,6,2,3,4,1,5,7]=>[3,4,6,5,7,2,8,1]=>0010101 [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[8,5,2,3,4,1,6,7]=>[3,4,6,5,2,7,8,1]=>0011001 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,3,4,1,6,8]=>[3,4,6,5,2,7,1,8]=>0011010 [1,1,1,0,1,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,5,1,6,7]=>[3,4,2,6,5,7,8,1]=>0101001 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,4,2,3,5,1,6,8]=>[3,4,2,6,5,7,1,8]=>0101010 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,6,1,7,8]=>[3,2,4,1,6,5,7,8]=>1010100 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,6,1,7,8]=>[1,3,2,4,6,5,7,8]=>0100100 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,5,1,6,7]=>[2,3,4,6,5,7,8,1]=>0001001 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,5,1,6,8]=>[2,3,4,6,5,7,1,8]=>0001010 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,2,3,4,5,1,7,8]=>[2,3,4,6,5,1,7,8]=>0001100 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,6,1,7,8]=>[2,3,4,1,6,5,7,8]=>0010100 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,5,6,1,7,8]=>[2,1,3,4,6,5,7,8]=>1000100 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8]=>[1,2,3,4,6,5,7,8]=>0000100 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[8,7,6,5,1,2,3,4]=>[5,6,7,8,4,3,2,1]=>0001111 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[7,8,6,5,1,2,3,4]=>[5,6,7,1,8,4,3,2]=>0010111 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[8,6,7,5,1,2,3,4]=>[5,6,7,2,8,4,3,1]=>0010111 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[7,6,8,5,1,2,3,4]=>[5,6,7,2,1,8,4,3]=>0011011 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[6,7,8,5,1,2,3,4]=>[5,6,1,7,2,8,4,3]=>0101011 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[8,7,5,6,1,2,3,4]=>[5,6,7,3,8,4,2,1]=>0010111 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[7,8,5,6,1,2,3,4]=>[5,6,7,3,1,8,4,2]=>0011011 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[8,6,5,7,1,2,3,4]=>[5,6,7,3,2,8,4,1]=>0011011 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[7,6,5,8,1,2,3,4]=>[5,6,7,3,2,1,8,4]=>0011101 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[6,7,5,8,1,2,3,4]=>[5,6,1,7,3,2,8,4]=>0101101 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[8,5,6,7,1,2,3,4]=>[5,6,2,7,3,8,4,1]=>0101011 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[7,5,6,8,1,2,3,4]=>[5,6,2,7,3,1,8,4]=>0101101 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[6,5,7,8,1,2,3,4]=>[5,6,2,1,7,3,8,4]=>0110101 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,6,7,8,1,2,3,4]=>[5,1,6,2,7,3,8,4]=>1010101 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[8,7,6,4,1,2,3,5]=>[5,6,7,4,8,3,2,1]=>0010111 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[6,7,8,4,1,2,3,5]=>[5,6,1,7,4,2,8,3]=>0101101 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[8,7,5,4,1,2,3,6]=>[5,6,7,4,3,8,2,1]=>0011011 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[7,8,5,4,1,2,3,6]=>[5,6,7,4,3,1,8,2]=>0011101 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[8,6,5,4,1,2,3,7]=>[5,6,7,4,3,2,8,1]=>0011101 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[7,6,5,4,1,2,3,8]=>[5,6,7,4,3,2,1,8]=>0011110 [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[8,5,6,4,1,2,3,7]=>[5,6,2,7,4,3,8,1]=>0101101 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[7,5,6,4,1,2,3,8]=>[5,6,2,7,4,3,1,8]=>0101110 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[5,6,7,4,1,2,3,8]=>[5,1,6,2,7,4,3,8]=>1010110 [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[8,7,4,5,1,2,3,6]=>[5,6,3,7,4,8,2,1]=>0101011 [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[7,8,4,5,1,2,3,6]=>[5,6,3,7,4,1,8,2]=>0101101 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[7,6,4,5,1,2,3,8]=>[5,6,3,7,4,2,1,8]=>0101110 [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[7,5,4,6,1,2,3,8]=>[5,6,3,2,7,4,1,8]=>0110110 [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[5,6,4,7,1,2,3,8]=>[5,1,6,3,2,7,4,8]=>1011010 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[8,4,5,6,1,2,3,7]=>[5,2,6,3,7,4,8,1]=>1010101 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[7,4,5,6,1,2,3,8]=>[5,2,6,3,7,4,1,8]=>1010110 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[5,4,6,7,1,2,3,8]=>[5,2,1,6,3,7,4,8]=>1101010 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,5,6,7,1,2,3,8]=>[1,5,2,6,3,7,4,8]=>0101010 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[8,7,6,3,1,2,4,5]=>[5,6,4,7,8,3,2,1]=>0100111 [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[7,8,6,3,1,2,4,5]=>[5,6,4,7,1,8,3,2]=>0101011 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[8,6,7,3,1,2,4,5]=>[5,6,4,7,2,8,3,1]=>0101011 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[6,7,8,3,1,2,4,5]=>[5,6,4,1,7,2,8,3]=>0110101 [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[8,5,6,3,1,2,4,7]=>[5,6,4,2,7,3,8,1]=>0110101 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[7,5,6,3,1,2,4,8]=>[5,6,4,2,7,3,1,8]=>0110110 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[5,6,7,3,1,2,4,8]=>[5,1,6,4,2,7,3,8]=>1011010 [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[7,8,4,3,1,2,5,6]=>[5,6,4,3,7,1,8,2]=>0110101 [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[7,6,4,3,1,2,5,8]=>[5,6,4,3,7,2,1,8]=>0110110 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[7,5,4,3,1,2,6,8]=>[5,6,4,3,2,7,1,8]=>0111010 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[6,5,4,3,1,2,7,8]=>[5,6,4,3,2,1,7,8]=>0111100 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[5,6,4,3,1,2,7,8]=>[5,1,6,4,3,2,7,8]=>1011100 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[6,4,5,3,1,2,7,8]=>[5,2,6,4,3,1,7,8]=>1011100 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[5,4,6,3,1,2,7,8]=>[5,2,1,6,4,3,7,8]=>1101100 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[7,8,3,4,1,2,5,6]=>[5,3,6,4,7,1,8,2]=>1010101 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[8,6,3,4,1,2,5,7]=>[5,3,6,4,7,2,8,1]=>1010101 [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[6,7,3,4,1,2,5,8]=>[5,3,6,4,1,7,2,8]=>1011010 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[7,5,3,4,1,2,6,8]=>[5,3,6,4,2,7,1,8]=>1011010 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[5,6,3,4,1,2,7,8]=>[5,3,1,6,4,2,7,8]=>1101100 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[6,4,3,5,1,2,7,8]=>[5,3,2,6,4,1,7,8]=>1101100 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[5,4,3,6,1,2,7,8]=>[5,3,2,1,6,4,7,8]=>1110100 [1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0]=>[8,3,4,5,1,2,6,7]=>[2,5,3,6,4,7,8,1]=>0101001 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,5,6,1,2,7,8]=>[1,2,5,3,6,4,7,8]=>0010100 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,2,1,3,4,5]=>[5,4,6,7,8,3,2,1]=>1000111 [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,2,1,3,4,5]=>[5,4,6,7,1,8,3,2]=>1001011 [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,2,1,3,4,5]=>[5,4,6,7,2,8,3,1]=>1001011 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,2,1,3,4,5]=>[5,4,6,1,7,2,8,3]=>1010101 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,2,1,3,4,6]=>[5,4,6,7,3,8,2,1]=>1001011 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,2,1,3,4,6]=>[5,4,6,7,3,1,8,2]=>1001101 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,2,1,3,4,8]=>[5,4,6,7,3,2,1,8]=>1001110 [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,2,1,3,4,7]=>[5,4,6,2,7,3,8,1]=>1010101 [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,2,1,3,4,8]=>[5,4,6,2,7,3,1,8]=>1010110 [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,2,1,3,4,8]=>[5,4,1,6,2,7,3,8]=>1101010 [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,2,1,3,5,6]=>[5,4,6,3,7,1,8,2]=>1010101 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,2,1,3,5,7]=>[5,4,6,3,7,2,8,1]=>1010101 [1,1,1,1,0,1,0,0,1,0,0,1,0,1,0,0]=>[7,6,4,2,1,3,5,8]=>[5,4,6,3,7,2,1,8]=>1010110 [1,1,1,1,0,1,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,2,1,3,6,7]=>[5,4,6,3,2,7,8,1]=>1011001 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,2,1,3,7,8]=>[5,4,6,3,2,1,7,8]=>1011100 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[5,6,4,2,1,3,7,8]=>[5,4,1,6,3,2,7,8]=>1101100 [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,2,1,3,6,8]=>[5,4,2,6,3,7,1,8]=>1101010 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[6,4,5,2,1,3,7,8]=>[5,4,2,6,3,1,7,8]=>1101100 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[5,4,6,2,1,3,7,8]=>[5,4,2,1,6,3,7,8]=>1110100 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,2,1,3,7,8]=>[1,5,4,2,6,3,7,8]=>0110100 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[8,7,3,2,1,4,5,6]=>[5,4,3,6,7,8,2,1]=>1100011 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,2,1,4,5,6]=>[5,4,3,6,7,1,8,2]=>1100101 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[8,6,3,2,1,4,5,7]=>[5,4,3,6,7,2,8,1]=>1100101 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[7,6,3,2,1,4,5,8]=>[5,4,3,6,7,2,1,8]=>1100110 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,2,1,4,5,8]=>[5,4,3,6,1,7,2,8]=>1101010 [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[8,5,3,2,1,4,6,7]=>[5,4,3,6,2,7,8,1]=>1101001 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,2,1,4,6,8]=>[5,4,3,6,2,7,1,8]=>1101010 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[6,5,3,2,1,4,7,8]=>[5,4,3,6,2,1,7,8]=>1101100 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[5,6,3,2,1,4,7,8]=>[5,4,3,1,6,2,7,8]=>1110100 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[8,4,3,2,1,5,6,7]=>[5,4,3,2,6,7,8,1]=>1110001 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[7,4,3,2,1,5,6,8]=>[5,4,3,2,6,7,1,8]=>1110010 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,2,1,5,7,8]=>[5,4,3,2,6,1,7,8]=>1110100 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1111000 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,3,2,1,6,7,8]=>[1,5,4,3,2,6,7,8]=>0111000 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,2,1,5,6,7]=>[2,5,4,3,6,7,8,1]=>0110001 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,2,1,6,7,8]=>[2,5,4,3,1,6,7,8]=>0111000 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,2,1,6,7,8]=>[2,1,5,4,3,6,7,8]=>1011000 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,2,1,6,7,8]=>[1,2,5,4,3,6,7,8]=>0011000 [1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,3,1,4,5,6]=>[3,5,4,6,7,8,2,1]=>0100011 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,3,1,4,5,6]=>[3,5,4,6,7,1,8,2]=>0100101 [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[6,7,2,3,1,4,5,8]=>[3,5,4,6,1,7,2,8]=>0101010 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[7,5,2,3,1,4,6,8]=>[3,5,4,6,2,7,1,8]=>0101010 [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,3,1,5,6,7]=>[3,5,4,2,6,7,8,1]=>0110001 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,3,1,6,7,8]=>[3,5,4,2,1,6,7,8]=>0111000 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,4,1,6,7,8]=>[3,2,5,4,1,6,7,8]=>1011000 [1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,5,1,6,7,8]=>[3,2,1,5,4,6,7,8]=>1101000 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,5,1,6,7,8]=>[1,3,2,5,4,6,7,8]=>0101000 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,4,1,5,6,7]=>[2,3,5,4,6,7,8,1]=>0010001 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,3,4,1,5,6,8]=>[2,3,5,4,6,7,1,8]=>0010010 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,4,1,6,7,8]=>[2,3,5,4,1,6,7,8]=>0011000 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,5,1,6,7,8]=>[2,3,1,5,4,6,7,8]=>0101000 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8]=>[1,2,3,5,4,6,7,8]=>0001000 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[8,7,6,1,2,3,4,5]=>[4,5,6,7,8,3,2,1]=>0000111 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[7,8,6,1,2,3,4,5]=>[4,5,6,7,1,8,3,2]=>0001011 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[8,6,7,1,2,3,4,5]=>[4,5,6,7,2,8,3,1]=>0001011 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[7,6,8,1,2,3,4,5]=>[4,5,6,7,2,1,8,3]=>0001101 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[6,7,8,1,2,3,4,5]=>[4,5,6,1,7,2,8,3]=>0010101 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[8,7,5,1,2,3,4,6]=>[4,5,6,7,3,8,2,1]=>0001011 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[7,8,5,1,2,3,4,6]=>[4,5,6,7,3,1,8,2]=>0001101 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[8,6,5,1,2,3,4,7]=>[4,5,6,7,3,2,8,1]=>0001101 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,1,2,3,4,8]=>[4,5,6,7,3,2,1,8]=>0001110 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[6,7,5,1,2,3,4,8]=>[4,5,6,1,7,3,2,8]=>0010110 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[8,5,6,1,2,3,4,7]=>[4,5,6,2,7,3,8,1]=>0010101 [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[7,5,6,1,2,3,4,8]=>[4,5,6,2,7,3,1,8]=>0010110 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[6,5,7,1,2,3,4,8]=>[4,5,6,2,1,7,3,8]=>0011010 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,6,7,1,2,3,4,8]=>[4,5,1,6,2,7,3,8]=>0101010 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[8,7,4,1,2,3,5,6]=>[4,5,6,3,7,8,2,1]=>0010011 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>[7,8,4,1,2,3,5,6]=>[4,5,6,3,7,1,8,2]=>0010101 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[8,6,4,1,2,3,5,7]=>[4,5,6,3,7,2,8,1]=>0010101 [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[8,5,4,1,2,3,6,7]=>[4,5,6,3,2,7,8,1]=>0011001 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[6,5,4,1,2,3,7,8]=>[4,5,6,3,2,1,7,8]=>0011100 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[8,4,5,1,2,3,6,7]=>[4,5,2,6,3,7,8,1]=>0101001 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[7,4,5,1,2,3,6,8]=>[4,5,2,6,3,7,1,8]=>0101010 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>[4,5,6,1,2,3,7,8]=>[4,1,5,2,6,3,7,8]=>1010100 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[7,8,3,1,2,4,5,6]=>[4,5,3,6,7,1,8,2]=>0100101 [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[6,7,3,1,2,4,5,8]=>[4,5,3,6,1,7,2,8]=>0101010 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,5,3,1,2,4,6,8]=>[4,5,3,6,2,7,1,8]=>0101010 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[6,4,3,1,2,5,7,8]=>[4,5,3,2,6,1,7,8]=>0110100 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,3,1,2,6,7,8]=>[4,5,3,2,1,6,7,8]=>0111000 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[8,3,4,1,2,5,6,7]=>[4,2,5,3,6,7,8,1]=>1010001 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,3,4,1,2,6,7,8]=>[4,2,5,3,1,6,7,8]=>1011000 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[4,3,5,1,2,6,7,8]=>[4,2,1,5,3,6,7,8]=>1101000 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[3,4,5,1,2,6,7,8]=>[1,4,2,5,3,6,7,8]=>0101000 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[8,7,2,1,3,4,5,6]=>[4,3,5,6,7,8,2,1]=>1000011 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[7,8,2,1,3,4,5,6]=>[4,3,5,6,7,1,8,2]=>1000101 [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[8,5,2,1,3,4,6,7]=>[4,3,5,6,2,7,8,1]=>1001001 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[5,6,2,1,3,4,7,8]=>[4,3,5,1,6,2,7,8]=>1010100 [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[8,4,2,1,3,5,6,7]=>[4,3,5,2,6,7,8,1]=>1010001 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[6,4,2,1,3,5,7,8]=>[4,3,5,2,6,1,7,8]=>1010100 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,4,2,1,3,6,7,8]=>[4,3,5,2,1,6,7,8]=>1011000 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[8,3,2,1,4,5,6,7]=>[4,3,2,5,6,7,8,1]=>1100001 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[7,3,2,1,4,5,6,8]=>[4,3,2,5,6,7,1,8]=>1100010 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[6,3,2,1,4,5,7,8]=>[4,3,2,5,6,1,7,8]=>1100100 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,3,2,1,4,6,7,8]=>[4,3,2,5,1,6,7,8]=>1101000 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1110000 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[3,4,2,1,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>0110000 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[8,2,3,1,4,5,6,7]=>[2,4,3,5,6,7,8,1]=>0100001 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,2,3,1,4,6,7,8]=>[2,4,3,5,1,6,7,8]=>0101000 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[4,2,3,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>0110000 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>1010000 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>0010000 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[8,7,1,2,3,4,5,6]=>[3,4,5,6,7,8,2,1]=>0000011 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[7,8,1,2,3,4,5,6]=>[3,4,5,6,7,1,8,2]=>0000101 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[8,6,1,2,3,4,5,7]=>[3,4,5,6,7,2,8,1]=>0000101 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[7,6,1,2,3,4,5,8]=>[3,4,5,6,7,2,1,8]=>0000110 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,7,1,2,3,4,5,8]=>[3,4,5,6,1,7,2,8]=>0001010 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[8,5,1,2,3,4,6,7]=>[3,4,5,6,2,7,8,1]=>0001001 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[7,5,1,2,3,4,6,8]=>[3,4,5,6,2,7,1,8]=>0001010 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,5,1,2,3,4,7,8]=>[3,4,5,6,2,1,7,8]=>0001100 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[5,6,1,2,3,4,7,8]=>[3,4,5,1,6,2,7,8]=>0010100 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[8,4,1,2,3,5,6,7]=>[3,4,5,2,6,7,8,1]=>0010001 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[7,4,1,2,3,5,6,8]=>[3,4,5,2,6,7,1,8]=>0010010 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[6,4,1,2,3,5,7,8]=>[3,4,5,2,6,1,7,8]=>0010100 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[5,4,1,2,3,6,7,8]=>[3,4,5,2,1,6,7,8]=>0011000 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[4,5,1,2,3,6,7,8]=>[3,4,1,5,2,6,7,8]=>0101000 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[8,3,1,2,4,5,6,7]=>[3,4,2,5,6,7,8,1]=>0100001 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[7,3,1,2,4,5,6,8]=>[3,4,2,5,6,7,1,8]=>0100010 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[6,3,1,2,4,5,7,8]=>[3,4,2,5,6,1,7,8]=>0100100 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[5,3,1,2,4,6,7,8]=>[3,4,2,5,1,6,7,8]=>0101000 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[4,3,1,2,5,6,7,8]=>[3,4,2,1,5,6,7,8]=>0110000 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>1010000 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[8,2,1,3,4,5,6,7]=>[3,2,4,5,6,7,8,1]=>1000001 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,2,1,3,4,5,6,8]=>[3,2,4,5,6,7,1,8]=>1000010 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[6,2,1,3,4,5,7,8]=>[3,2,4,5,6,1,7,8]=>1000100 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[5,2,1,3,4,6,7,8]=>[3,2,4,5,1,6,7,8]=>1001000 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[4,2,1,3,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>1010000 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>1100000 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0100000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]=>0000001 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]=>0000010 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]=>0000100 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>0001000 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>0010000 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>0100000 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>1000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,9,1]=>00000001 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,9,8]=>00000001 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,10,1]=>000000001 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[9,2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,9,1]=>10000001 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,9,1]=>[2,1,3,4,5,6,7,9,8]=>10000001 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,10,9]=>000000001 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[11,1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,11,1]=>0000000001 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,1,3,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,10,1]=>100000001 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[9,3,1,2,4,5,6,7,8]=>[3,4,2,5,6,7,8,9,1]=>01000001 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,1,4,5,6,7,8]=>[2,4,3,5,6,7,8,9,1]=>01000001 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[4,2,3,5,6,7,8,9,1]=>[2,3,1,4,5,6,7,9,8]=>01000001 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[3,4,2,5,6,7,8,9,1]=>[1,3,2,4,5,6,7,9,8]=>01000001 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,9,10,1]=>[2,1,3,4,5,6,7,8,10,9]=>100000001 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[1,2,3,4,5,6,7,8,9,11,10]=>0000000001 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0]=>[12,1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>00000000001 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0]=>[11,2,1,3,4,5,6,7,8,9,10]=>[3,2,4,5,6,7,8,9,10,11,1]=>1000000001 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,1,6,7,8]=>[2,3,4,6,5,7,8,9,1]=>00010001 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,1,6,7,8,9]=>[2,3,4,6,5,7,8,9,10,1]=>000100001 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,6,1,7,8]=>[2,3,4,5,7,6,8,9,1]=>00001001 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,1,7,8,9]=>[2,3,4,5,7,6,8,9,10,1]=>000010001 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[9,7,1,2,3,4,5,6,8]=>[3,4,5,6,7,8,2,9,1]=>00000101 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,6,7,1,8]=>[2,3,4,5,6,8,7,9,1]=>00000101 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[8,9,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,1,9,2]=>00000101 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[8,2,3,4,5,6,7,9,1]=>[2,3,4,5,6,7,1,9,8]=>00000101 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,2]=>[1,2,3,4,5,8,6,9,7]=>00000101 [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,2,9,1]=>[1,2,3,4,5,7,6,9,8]=>00000101 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[9,8,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,9,2,1]=>00000011 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,9,8,1]=>00000011 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,2,1]=>[1,2,3,4,5,6,9,8,7]=>00000011 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[9,10,1,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,1,10,2]=>000000101 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[9,2,3,4,5,6,7,8,10,1]=>[2,3,4,5,6,7,8,1,10,9]=>000000101 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,1,2]=>[1,2,3,4,5,6,9,7,10,8]=>000000101 [1,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,2,10,1]=>[1,2,3,4,5,6,8,7,10,9]=>000000101 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[10,9,1,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,10,2,1]=>000000011 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[10,2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,10,9,1]=>000000011 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,2,1]=>[1,2,3,4,5,6,7,10,9,8]=>000000011 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>11111110 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[7,8,6,5,4,3,2,1,9]=>[1,8,7,6,5,4,3,2,9]=>01111110 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[8,6,7,5,4,3,2,1,9]=>[2,8,7,6,5,4,3,1,9]=>01111110 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[7,6,8,5,4,3,2,1,9]=>[2,1,8,7,6,5,4,3,9]=>10111110 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[8,6,5,7,4,3,2,1,9]=>[3,2,8,7,6,5,4,1,9]=>10111110 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,5,3,2,1,9]=>[4,8,7,6,5,3,2,1,9]=>01111110 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,3,5,2,1,9]=>[5,4,8,7,6,3,2,1,9]=>10111110 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,8,2,1,9]=>[5,4,3,2,1,8,7,6,9]=>11110110 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,3,1,9]=>[6,8,7,5,4,3,2,1,9]=>01111110 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,2,8,1,9]=>[6,5,4,3,2,1,8,7,9]=>11111010 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[5,4,6,3,7,2,8,1,9]=>[2,1,4,3,6,5,8,7,9]=>10101010 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[8,2,3,4,5,6,7,1,9]=>[2,3,4,5,6,8,7,1,9]=>00000110 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,4,5,6,7,8,1,9]=>[2,1,3,4,5,6,8,7,9]=>10000010 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9]=>[1,2,3,4,5,6,8,7,9]=>00000010 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,1,2,9]=>[7,8,6,5,4,3,2,1,9]=>01111110 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[7,8,5,6,3,4,1,2,9]=>[7,5,3,1,8,6,4,2,9]=>11101110 [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,1,2,9]=>[1,2,3,4,7,5,8,6,9]=>00001010 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,1,3,9]=>[7,6,8,5,4,3,2,1,9]=>10111110 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,3,2,1,4,9]=>[7,6,5,8,4,3,2,1,9]=>11011110 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[8,7,5,4,3,2,1,6,9]=>[7,6,5,4,3,8,2,1,9]=>11110110 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,6,5,4,3,2,1,7,9]=>[7,6,5,4,3,2,8,1,9]=>11111010 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>11111100 [1,1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[6,5,4,3,2,7,1,8,9]=>[5,4,3,2,1,7,6,8,9]=>11110100 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,2,3,4,5,6,1,8,9]=>[2,3,4,5,7,6,1,8,9]=>00001100 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9]=>[1,2,3,4,5,7,6,8,9]=>00000100 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,1,2,3,9]=>[6,7,8,5,4,3,2,1,9]=>00111110 [1,1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[6,5,4,3,7,1,2,8,9]=>[6,4,3,2,1,7,5,8,9]=>11110100 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>11111000 [1,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,4,3,2,6,1,7,8,9]=>[4,3,2,1,6,5,7,8,9]=>11101000 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[4,3,5,2,6,1,7,8,9]=>[2,1,4,3,6,5,7,8,9]=>10101000 [1,1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[6,2,3,4,5,1,7,8,9]=>[2,3,4,6,5,1,7,8,9]=>00011000 [1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>00001000 [1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9]=>[5,1,6,2,7,3,8,4,9]=>10101010 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0]=>[7,5,4,3,1,2,6,8,9]=>[5,6,4,3,2,7,1,8,9]=>01110100 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[6,5,4,3,1,2,7,8,9]=>[5,6,4,3,2,1,7,8,9]=>01111000 [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0]=>[5,6,3,4,1,2,7,8,9]=>[5,3,1,6,4,2,7,8,9]=>11011000 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[8,6,4,2,1,3,5,7,9]=>[5,4,6,3,7,2,8,1,9]=>10101010 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>11110000 [1,1,1,1,1,0,1,1,0,1,0,1,0,0,0,0,0,0]=>[4,3,2,5,1,6,7,8,9]=>[3,2,1,5,4,6,7,8,9]=>11010000 [1,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0]=>[3,4,2,5,1,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]=>01010000 [1,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0]=>[5,2,3,4,1,6,7,8,9]=>[2,3,5,4,1,6,7,8,9]=>00110000 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>00010000 [1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9]=>[4,1,5,2,6,3,7,8,9]=>10101000 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,0]=>[7,5,3,1,2,4,6,8,9]=>[4,5,3,6,2,7,1,8,9]=>01010100 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[5,4,3,1,2,6,7,8,9]=>[4,5,3,2,1,6,7,8,9]=>01110000 [1,1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0]=>[4,3,5,1,2,6,7,8,9]=>[4,2,1,5,3,6,7,8,9]=>11010000 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>11100000 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[3,4,2,1,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>01100000 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>[4,2,3,1,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]=>01100000 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>10100000 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>00100000 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,8,1,2,3,4,5,6,9]=>[3,4,5,6,7,1,8,2,9]=>00001010 [1,1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0]=>[5,4,1,2,3,6,7,8,9]=>[3,4,5,2,1,6,7,8,9]=>00110000 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0]=>[5,3,1,2,4,6,7,8,9]=>[3,4,2,5,1,6,7,8,9]=>01010000 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[4,3,1,2,5,6,7,8,9]=>[3,4,2,1,5,6,7,8,9]=>01100000 [1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9]=>[3,1,4,2,5,6,7,8,9]=>10100000 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[8,2,1,3,4,5,6,7,9]=>[3,2,4,5,6,7,8,1,9]=>10000010 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>11000000 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>01000000 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,1,2,3,4,5,6,7,9]=>[2,3,4,5,6,7,8,1,9]=>00000010 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[7,1,2,3,4,5,6,8,9]=>[2,3,4,5,6,7,1,8,9]=>00000100 [1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0]=>[6,1,2,3,4,5,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>00001000 [1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>00010000 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>00100000 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>01000000 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>10000000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>00000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>11111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,3,2,1]=>[1,9,8,7,6,5,4,3,2]=>01111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[8,7,9,6,5,4,3,2,1]=>[2,1,9,8,7,6,5,4,3]=>10111111 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[8,7,6,9,5,4,3,2,1]=>[3,2,1,9,8,7,6,5,4]=>11011111 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,9,4,3,2,1]=>[4,3,2,1,9,8,7,6,5]=>11101111 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,9,3,2,1]=>[5,4,3,2,1,9,8,7,6]=>11110111 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,9,2,1]=>[6,5,4,3,2,1,9,8,7]=>11111011 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,9,1]=>[7,6,5,4,3,2,1,9,8]=>11111101 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>111111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[9,10,8,7,6,5,4,3,2,1]=>[1,10,9,8,7,6,5,4,3,2]=>011111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[7,8,9,6,5,4,3,2,1]=>[1,2,9,8,7,6,5,4,3]=>00111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[9,8,10,7,6,5,4,3,2,1]=>[2,1,10,9,8,7,6,5,4,3]=>101111111 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[8,6,7,9,5,4,3,2,1]=>[2,3,1,9,8,7,6,5,4]=>01011111 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[9,8,7,10,6,5,4,3,2,1]=>[3,2,1,10,9,8,7,6,5,4]=>110111111 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[8,7,5,6,9,4,3,2,1]=>[3,4,2,1,9,8,7,6,5]=>01101111 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,10,5,4,3,2,1]=>[4,3,2,1,10,9,8,7,6,5]=>111011111 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[8,7,6,4,5,9,3,2,1]=>[4,5,3,2,1,9,8,7,6]=>01110111 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,10,4,3,2,1]=>[5,4,3,2,1,10,9,8,7,6]=>111101111 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,3,4,9,2,1]=>[5,6,4,3,2,1,9,8,7]=>01111011 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,10,3,2,1]=>[6,5,4,3,2,1,10,9,8,7]=>111110111 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,2,3,9,1]=>[6,7,5,4,3,2,1,9,8]=>01111101 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,10,2,1]=>[7,6,5,4,3,2,1,10,9,8]=>111111011 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,1]=>[8,7,6,5,4,3,2,1,10,9]=>111111101 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>111111110 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>1111111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[10,11,9,8,7,6,5,4,3,2,1]=>[1,11,10,9,8,7,6,5,4,3,2]=>0111111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[8,9,10,7,6,5,4,3,2,1]=>[1,2,10,9,8,7,6,5,4,3]=>001111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[10,9,11,8,7,6,5,4,3,2,1]=>[2,1,11,10,9,8,7,6,5,4,3]=>1011111111 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,5,4,3,2,1]=>[1,2,3,9,8,7,6,5,4]=>00011111 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,3,1,2,10]=>[8,9,7,6,5,4,3,2,1,10]=>011111110 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,11,1]=>[9,8,7,6,5,4,3,2,1,11,10]=>1111111101 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>1111111110 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,6,5,4,3,2,1]=>[1,2,3,10,9,8,7,6,5,4]=>000111111 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,4,2,1,3,10]=>[8,7,9,6,5,4,3,2,1,10]=>101111110 [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,4,3,2,1]=>[1,2,3,4,9,8,7,6,5]=>00001111 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,5,3,2,1,4,10]=>[8,7,6,9,5,4,3,2,1,10]=>110111110 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,4,2,1,3,11]=>[9,8,10,7,6,5,4,3,2,1,11]=>1011111110 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,10,9,8,7,6,5]=>000011111 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,6,5,3,2,1,4,11]=>[9,8,7,10,6,5,4,3,2,1,11]=>1101111110 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[9,8,7,5,4,3,2,1,6,10]=>[8,7,6,5,4,9,3,2,1,10]=>111101110 [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,3,2,1]=>[1,2,3,4,5,9,8,7,6]=>00000111 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[9,8,6,5,4,3,2,1,7,10]=>[8,7,6,5,4,3,9,2,1,10]=>111110110 [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,4,3,2,1]=>[1,2,3,4,5,10,9,8,7,6]=>000001111 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[10,9,8,7,5,4,3,2,1,6,11]=>[9,8,7,6,5,10,4,3,2,1,11]=>1111011110 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[9,7,6,5,4,3,2,1,8,10]=>[8,7,6,5,4,3,2,9,1,10]=>111111010 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[10,9,8,6,5,4,3,2,1,7,11]=>[9,8,7,6,5,4,10,3,2,1,11]=>1111101110 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[9,7,8,6,5,4,3,2,1]=>[2,9,8,7,6,5,4,3,1]=>01111111 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,5,4,3,2,1]=>[3,1,9,8,7,6,5,4,2]=>10111111 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[9,6,7,8,5,4,3,2,1]=>[2,3,9,8,7,6,5,4,1]=>00111111 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,4,3,2,1]=>[4,9,8,7,6,5,3,2,1]=>01111111 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[7,8,9,5,6,4,3,2,1]=>[1,4,2,9,8,7,6,5,3]=>01011111 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,3,2,1]=>[5,9,8,7,6,4,3,2,1]=>01111111 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,3,2,1]=>[5,3,1,9,8,7,6,4,2]=>11011111 [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,4,5,3,2,1]=>[1,2,5,3,9,8,7,6,4]=>00101111 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[7,8,9,4,5,6,3,2,1]=>[4,1,5,2,9,8,7,6,3]=>10101111 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,4,2,1]=>[6,9,8,7,5,4,3,2,1]=>01111111 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[7,8,9,5,6,3,4,2,1]=>[1,6,4,2,9,8,7,5,3]=>01101111 [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,3,4,2,1]=>[1,2,3,6,4,9,8,7,5]=>00010111 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,8,2,1]=>[2,3,4,5,6,9,8,7,1]=>00000111 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,2,3,1]=>[7,9,8,6,5,4,3,2,1]=>01111111 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,2,3,1]=>[7,1,9,8,6,5,4,3,2]=>10111111 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,2,3,1]=>[7,5,3,1,9,8,6,4,2]=>11101111 [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,4,5,2,3,1]=>[1,2,7,5,3,9,8,6,4]=>00110111 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[7,8,9,4,5,6,2,3,1]=>[4,1,7,5,2,9,8,6,3]=>10110111 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,2,3,1]=>[1,2,3,4,7,5,9,8,6]=>00001011 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,3,4,1]=>[6,7,9,8,5,4,3,2,1]=>00111111 [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,2,3,4,1]=>[1,2,6,3,7,4,9,8,5]=>00101011 [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,2,3,4,5,1]=>[5,1,6,2,7,3,9,8,4]=>10101011 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[8,9,2,3,4,5,6,7,1]=>[3,4,5,6,7,1,9,8,2]=>00001011 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,3,1,2]=>[8,9,7,6,5,4,3,2,1]=>01111111 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,3,1,2]=>[8,1,9,7,6,5,4,3,2]=>10111111 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[9,7,8,6,5,4,3,1,2]=>[8,2,9,7,6,5,4,3,1]=>10111111 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,4,1,2]=>[8,6,9,7,5,4,3,2,1]=>10111111 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,3,4,1,2]=>[8,6,4,9,7,5,3,2,1]=>11011111 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,3,4,1,2]=>[8,6,4,2,9,7,5,3,1]=>11101111 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[7,8,9,5,6,3,4,1,2]=>[1,8,6,4,2,9,7,5,3]=>01110111 [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,3,4,1,2]=>[1,2,3,8,6,4,9,7,5]=>00011011 [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,3,4,5,1,2]=>[1,5,2,8,6,3,9,7,4]=>01011011 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,1,2,3]=>[7,8,9,6,5,4,3,2,1]=>00111111 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,5,1,2,3]=>[7,8,5,9,6,4,3,2,1]=>01011111 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[8,9,6,7,4,5,1,2,3]=>[7,8,5,3,1,9,6,4,2]=>01110111 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[9,8,7,4,5,6,1,2,3]=>[7,4,8,5,9,6,3,2,1]=>10101111 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[7,8,9,4,5,6,1,2,3]=>[7,4,1,8,5,2,9,6,3]=>11011011 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,5,6,7,8,9,1,2,3]=>[1,2,3,7,4,8,5,9,6]=>00010101 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,1,2,3,4]=>[6,7,8,9,5,4,3,2,1]=>00011111 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,6,1,2,3,4]=>[6,7,8,4,9,5,3,2,1]=>00101111 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,6,1,2,3,4]=>[6,7,8,4,2,9,5,3,1]=>00110111 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[9,8,5,6,7,1,2,3,4]=>[6,7,3,8,4,9,5,2,1]=>01010111 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[8,9,5,6,7,1,2,3,4]=>[6,7,3,8,4,1,9,5,2]=>01011011 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[9,5,6,7,8,1,2,3,4]=>[6,2,7,3,8,4,9,5,1]=>10101011 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,6,7,8,9,1,2,3,4]=>[1,6,2,7,3,8,4,9,5]=>01010101 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,1,2,3,4,5]=>[5,6,7,8,9,4,3,2,1]=>00001111 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[9,8,6,7,1,2,3,4,5]=>[5,6,7,8,3,9,4,2,1]=>00010111 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[9,6,7,8,1,2,3,4,5]=>[5,6,7,2,8,3,9,4,1]=>00101011 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,7,8,9,1,2,3,4,5]=>[5,6,1,7,2,8,3,9,4]=>01010101 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[9,8,7,1,2,3,4,5,6]=>[4,5,6,7,8,9,3,2,1]=>00000111 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[9,7,8,1,2,3,4,5,6]=>[4,5,6,7,8,2,9,3,1]=>00001011 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,8,9,1,2,3,4,5,6]=>[4,5,6,7,1,8,2,9,3]=>00010101 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[10,8,9,7,6,5,4,3,2,1]=>[2,10,9,8,7,6,5,4,3,1]=>011111111 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,6,5,4,3,2,1]=>[3,1,10,9,8,7,6,5,4,2]=>101111111 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[10,9,8,6,7,5,4,3,2,1]=>[4,10,9,8,7,6,5,3,2,1]=>011111111 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,6,4,3,2,1]=>[5,10,9,8,7,6,4,3,2,1]=>011111111 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,4,3,2,1]=>[5,3,1,10,9,8,7,6,4,2]=>110111111 [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,3,2,1]=>[1,2,3,4,5,6,10,9,8,7]=>000000111 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,4,2,1]=>[7,5,3,1,10,9,8,6,4,2]=>111011111 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,3,4,5,6,2,1]=>[5,1,6,2,7,3,10,9,8,4]=>101010111 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[10,3,4,5,6,7,8,9,2,1]=>[2,3,4,5,6,7,10,9,8,1]=>000000111 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,2,3,1]=>[8,10,9,7,6,5,4,3,2,1]=>011111111 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[8,9,10,6,7,4,5,2,3,1]=>[1,8,6,4,2,10,9,7,5,3]=>011101111 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,4,5,6,2,3,1]=>[1,5,2,8,6,3,10,9,7,4]=>010110111 [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,2,3,1]=>[1,2,3,4,5,8,6,10,9,7]=>000001011 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[8,9,10,5,6,7,2,3,4,1]=>[7,4,1,8,5,2,10,9,6,3]=>110110111 [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,2,3,4,1]=>[1,2,3,7,4,8,5,10,9,6]=>000101011 [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,2,3,4,5,1]=>[1,6,2,7,3,8,4,10,9,5]=>010101011 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,3,1,2]=>[9,10,8,7,6,5,4,3,2,1]=>011111111 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[9,10,8,7,6,5,4,3,1,2]=>[9,1,10,8,7,6,5,4,3,2]=>101111111 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,4,1,2]=>[9,7,10,8,6,5,4,3,2,1]=>101111111 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,6,3,4,1,2]=>[9,7,5,10,8,6,4,3,2,1]=>110111111 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[10,9,7,8,5,6,3,4,1,2]=>[9,7,5,3,10,8,6,4,2,1]=>111011111 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,3,4,1,2]=>[9,7,5,3,1,10,8,6,4,2]=>111101111 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,5,6,3,4,1,2]=>[1,2,9,7,5,3,10,8,6,4]=>001110111 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[8,9,10,5,6,7,3,4,1,2]=>[4,1,9,7,5,2,10,8,6,3]=>101110111 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,3,4,5,6,1,2]=>[5,1,6,2,9,7,3,10,8,4]=>101011011 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,1,2,3]=>[8,9,10,7,6,5,4,3,2,1]=>001111111 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,5,1,2,3]=>[8,9,6,10,7,5,4,3,2,1]=>010111111 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,4,5,1,2,3]=>[8,9,6,4,2,10,7,5,3,1]=>011101111 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,4,5,6,1,2,3]=>[8,5,9,6,3,1,10,7,4,2]=>101110111 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,4,5,6,1,2,3]=>[1,8,5,2,9,6,3,10,7,4]=>011011011 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,7,8,9,10,1,2,3]=>[1,2,3,4,8,5,9,6,10,7]=>000010101 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,1,2,3,4]=>[7,8,9,10,6,5,4,3,2,1]=>000111111 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[9,10,7,8,5,6,1,2,3,4]=>[7,8,9,5,3,1,10,6,4,2]=>001110111 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[8,9,10,5,6,7,1,2,3,4]=>[7,8,4,1,9,5,2,10,6,3]=>011011011 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[10,9,5,6,7,8,1,2,3,4]=>[7,3,8,4,9,5,10,6,2,1]=>101010111 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[9,10,5,6,7,8,1,2,3,4]=>[7,3,8,4,9,5,1,10,6,2]=>101011011 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,9,10,1,2,3,4]=>[1,2,7,3,8,4,9,5,10,6]=>001010101 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,1,2,3,4,5]=>[6,7,8,9,10,5,4,3,2,1]=>000011111 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[10,8,9,6,7,1,2,3,4,5]=>[6,7,8,9,4,2,10,5,3,1]=>000110111 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[10,6,7,8,9,1,2,3,4,5]=>[6,7,2,8,3,9,4,10,5,1]=>010101011 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[6,7,8,9,10,1,2,3,4,5]=>[6,1,7,2,8,3,9,4,10,5]=>101010101 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,1,2,3,4,5,6]=>[5,6,7,8,9,10,4,3,2,1]=>000001111 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[10,7,8,9,1,2,3,4,5,6]=>[5,6,7,8,2,9,3,10,4,1]=>000101011 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[7,8,9,10,1,2,3,4,5,6]=>[5,6,7,1,8,2,9,3,10,4]=>001010101 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[10,9,8,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,10,3,2,1]=>000000111 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[10,8,9,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,10,3,1]=>000001011 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[8,9,10,1,2,3,4,5,6,7]=>[4,5,6,7,8,1,9,2,10,3]=>000010101 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>000000000 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,4,2,1,3]=>[8,7,9,6,5,4,3,2,1]=>10111111 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,2,1,4]=>[8,7,6,9,5,4,3,2,1]=>11011111 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,4,3,2,1,5]=>[8,7,6,5,9,4,3,2,1]=>11101111 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[9,8,7,5,4,3,2,1,6]=>[8,7,6,5,4,9,3,2,1]=>11110111 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[9,8,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,9,2,1]=>11111011 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,9,1]=>11111101 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,4,2,1,3]=>[9,8,10,7,6,5,4,3,2,1]=>101111111 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,3,1,4]=>[6,8,7,9,5,4,3,2,1]=>01011111 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,5,3,2,1,4]=>[9,8,7,10,6,5,4,3,2,1]=>110111111 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,3,4,2,1,5]=>[5,8,7,6,9,4,3,2,1]=>01101111 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,6,4,3,2,1,5]=>[9,8,7,6,10,5,4,3,2,1]=>111011111 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[9,8,7,4,5,3,2,1,6]=>[4,8,7,6,5,9,3,2,1]=>01110111 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[10,9,8,7,5,4,3,2,1,6]=>[9,8,7,6,5,10,4,3,2,1]=>111101111 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[9,8,5,6,4,3,2,1,7]=>[3,8,7,6,5,4,9,2,1]=>01111011 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[10,9,8,6,5,4,3,2,1,7]=>[9,8,7,6,5,4,10,3,2,1]=>111110111 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[9,6,7,5,4,3,2,1,8]=>[2,8,7,6,5,4,3,9,1]=>01111101 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[10,9,7,6,5,4,3,2,1,8]=>[9,8,7,6,5,4,3,10,2,1]=>111111011 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,2,1,9]=>[9,8,7,6,5,4,3,2,10,1]=>111111101 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,5,4,3,1,2,7,8,9,10]=>[5,6,4,3,2,1,7,8,9,10]=>011110000 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[7,6,5,4,3,1,2,8,9,10]=>[6,7,5,4,3,2,1,8,9,10]=>011111000 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[7,6,5,4,3,1,2,8,9,10,11]=>[6,7,5,4,3,2,1,8,9,10,11]=>0111110000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[11,10,9,8,7,6,5,4,3,1,2]=>[10,11,9,8,7,6,5,4,3,2,1]=>0111111111 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[8,9,7,6,5,4,3,2,1,10]=>[1,9,8,7,6,5,4,3,2,10]=>011111110 [1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,1,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>010000000 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>010000000 [1,1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0]=>[4,3,1,2,5,6,7,8,9,10]=>[3,4,2,1,5,6,7,8,9,10]=>011000000 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>[3,1,2,4,5,6,7,8,9,10,11]=>[2,3,1,4,5,6,7,8,9,10,11]=>0100000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[9,8,10,7,6,5,4,3,1,2]=>[9,2,1,10,8,7,6,5,4,3]=>110111111 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,5,4,2,1,3]=>[8,7,1,9,6,5,4,3,2]=>11011111 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[9,6,5,4,3,2,1,7,8]=>[7,6,5,4,3,2,8,9,1]=>11111001 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,2,1,3,4]=>[7,6,8,9,5,4,3,2,1]=>10011111 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,1,10]=>[1,2,3,4,5,6,7,9,8,10]=>000000010 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,1,2,3,4,5,6,7,8,10]=>[2,3,4,5,6,7,8,9,1,10]=>000000010 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,1,2,3,4,5,6,7,8,9,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>0000000010 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>100000000 [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,1,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>001000000 [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,1,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>000100000 [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,1,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>000010000 [1,1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,1,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>000001000 [1,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,1,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>000000100 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,3,2,9,1,10]=>[7,6,5,4,3,2,1,9,8,10]=>111111010 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>1000000000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[8,9,7,6,4,3,2,1,5]=>[8,7,6,5,1,9,4,3,2]=>11110111 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[9,8,7,6,4,5,3,2,1,10]=>[5,9,8,7,6,4,3,2,1,10]=>011111110 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,1,2,8]=>[7,8,6,5,4,3,2,9,1]=>01111101 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[7,8,6,5,4,3,2,9,1]=>[1,7,6,5,4,3,2,9,8]=>01111101 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[8,9,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,1,9,2]=>11111101 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[8,7,6,5,4,3,9,1,2]=>[8,6,5,4,3,2,1,9,7]=>11111101 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>111111000 [1,1,1,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[6,5,7,8,9,1,2,3,4]=>[6,2,1,7,3,8,4,9,5]=>11010101 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[8,1,2,3,4,5,6,7,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>000000100 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,0]=>[7,1,2,3,4,5,6,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>000001000 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0]=>[6,1,2,3,4,5,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>000010000 [1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0]=>[5,1,2,3,4,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>000100000 [1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0]=>[4,1,2,3,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>001000000 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[9,7,8,5,4,3,2,1,6]=>[8,7,6,5,4,2,9,3,1]=>11111011 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,9,3,2,1,10]=>[5,4,3,2,1,9,8,7,6,10]=>111101110 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,3,9,2,1,10]=>[6,5,4,3,2,1,9,8,7,10]=>111110110 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>111111100 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,8,7,6,5,4,3,2,1,10,11]=>[9,8,7,6,5,4,3,2,1,10,11]=>1111111100 [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[3,4,1,2,5,6,7,8,9,10]=>[3,1,4,2,5,6,7,8,9,10]=>101000000 [1,1,1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0]=>[4,5,6,1,2,3,7,8,9,10]=>[4,1,5,2,6,3,7,8,9,10]=>101010000 [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[5,6,7,8,1,2,3,4,9,10]=>[5,1,6,2,7,3,8,4,9,10]=>101010100 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[6,5,7,4,8,3,9,2,10,1]=>[2,1,4,3,6,5,8,7,10,9]=>101010101 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[10,8,6,4,2,1,3,5,7,9]=>[6,5,7,4,8,3,9,2,10,1]=>101010101 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>10101010101 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>0000000000 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[10,7,6,5,4,3,2,1,8,9]=>[8,7,6,5,4,3,2,9,10,1]=>111111001 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[9,5,4,3,2,1,6,7,8]=>[6,5,4,3,2,7,8,9,1]=>11110001 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,4,1,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]=>101000000 [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>0000000010 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,11,1,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,1,11,2]=>0000000101 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>111110000 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[9,8,7,6,5,3,2,4,1]=>[7,6,9,8,5,4,3,2,1]=>10111111 [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>110000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[11,9,10,8,7,6,5,4,3,2,1]=>[2,11,10,9,8,7,6,5,4,3,1]=>0111111111 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>111100000 [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>111000000 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[10,2,3,4,5,6,7,8,9,11,1]=>[2,3,4,5,6,7,8,9,1,11,10]=>0000000101 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[11,9,8,7,6,5,4,3,2,1,10]=>[10,9,8,7,6,5,4,3,2,11,1]=>1111111101 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[9,7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,9,8,1]=>11111011 [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,1,2,10]=>[1,2,3,4,5,8,6,9,7,10]=>000001010 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[7,6,8,5,9,4,3,2,1]=>[2,1,4,3,9,8,7,6,5]=>10101111 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[9,10,7,6,5,4,3,2,1,8]=>[9,8,7,6,5,4,3,1,10,2]=>111111101 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[8,7,9,5,6,3,4,1,2]=>[8,6,4,2,1,9,7,5,3]=>11110111 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0]=>[11,10,1,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,11,2,1]=>0000000011 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0]=>[9,8,4,1,2,3,5,6,7]=>[4,5,6,3,7,8,9,2,1]=>00100011 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[10,8,7,6,5,4,3,2,1,9,11]=>[9,8,7,6,5,4,3,2,10,1,11]=>1111111010 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,10,9,1]=>111111011 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[10,9,7,6,5,4,8,3,2,1]=>[6,5,4,3,10,9,8,7,2,1]=>111011111 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[11,2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,11,10,1]=>0000000011 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[7,8,2,3,4,5,6,9,1]=>[3,4,5,6,1,7,2,9,8]=>00010101 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[10,8,7,6,5,4,3,1,2,9]=>[8,9,7,6,5,4,3,2,10,1]=>011111101 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[9,3,4,5,6,7,2,1,8]=>[2,3,4,5,8,7,6,9,1]=>00001101 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[9,8,10,6,7,4,5,2,3,1]=>[8,6,4,2,1,10,9,7,5,3]=>111101111 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[5,6,4,7,3,8,2,9,1]=>[1,3,2,5,4,7,6,9,8]=>01010101 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,4,6,3,7,2,8,1,9,10]=>[2,1,4,3,6,5,8,7,9,10]=>101010100 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[9,2,3,4,5,6,7,8,1,10]=>[2,3,4,5,6,7,9,8,1,10]=>000000110 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[9,7,5,3,1,2,4,6,8,10]=>[5,6,4,7,3,8,2,9,1,10]=>010101010 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[11,9,7,5,3,1,12,10,8,6,4,2]=>11111011111 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[7,8,5,6,3,4,1,2,9,10]=>[7,5,3,1,8,6,4,2,9,10]=>111011100 [1,0,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[3,4,5,6,7,8,9,10,11,2,1]=>[1,2,3,4,5,6,7,8,11,10,9]=>0000000011 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[10,3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,10,9,1]=>100000011 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[5,6,4,7,3,8,2,9,1,10]=>[1,3,2,5,4,7,6,9,8,10]=>010101010 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[7,8,9,4,5,6,1,2,3,10]=>[7,4,1,8,5,2,9,6,3,10]=>110110110 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[9,7,5,3,1,2,4,6,8]=>[5,6,4,7,3,8,2,9,1]=>01010101 [1,1,0,1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[6,4,5,7,3,8,2,9,1,10]=>[2,3,1,5,4,7,6,9,8,10]=>010101010