=>

[1,0]=>[1]=>[1]=>[1]=> [1,0,1,0]=>[1,2]=>[1,2]=>[1,2]=>0 [1,1,0,0]=>[2,1]=>[2,1]=>[2,1]=>1 [1,0,1,0,1,0]=>[1,2,3]=>[1,2,3]=>[1,2,3]=>00 [1,0,1,1,0,0]=>[1,3,2]=>[1,3,2]=>[1,3,2]=>01 [1,1,0,0,1,0]=>[2,1,3]=>[2,1,3]=>[2,1,3]=>10 [1,1,0,1,0,0]=>[2,3,1]=>[3,2,1]=>[2,3,1]=>01 [1,1,1,0,0,0]=>[3,2,1]=>[2,3,1]=>[3,1,2]=>01 [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3]=>001 [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]=>010 [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[1,4,3,2]=>[1,3,4,2]=>001 [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[1,3,4,2]=>[1,4,2,3]=>001 [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]=>101 [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[3,2,1,4]=>[2,3,1,4]=>010 [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[4,2,3,1]=>[2,3,4,1]=>001 [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[3,2,4,1]=>[2,4,1,3]=>001 [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[2,3,1,4]=>[3,1,2,4]=>010 [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[4,3,2,1]=>[3,2,4,1]=>011 [1,1,1,0,1,0,0,0]=>[3,4,2,1]=>[2,4,3,1]=>[3,4,1,2]=>001 [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[2,3,4,1]=>[4,1,2,3]=>001 [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0001 [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0010 [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[1,2,5,4,3]=>[1,2,4,5,3]=>0001 [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[1,2,4,5,3]=>[1,2,5,3,4]=>0001 [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0100 [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>0101 [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]=>0010 [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[1,5,3,4,2]=>[1,3,4,5,2]=>0001 [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[1,4,3,5,2]=>[1,3,5,2,4]=>0001 [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0010 [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[1,5,4,3,2]=>[1,4,3,5,2]=>0011 [1,0,1,1,1,0,1,0,0,0]=>[1,4,5,3,2]=>[1,3,5,4,2]=>[1,4,5,2,3]=>0001 [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0001 [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>1001 [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>1010 [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[2,1,4,5,3]=>1001 [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[2,1,4,5,3]=>[2,1,5,3,4]=>1001 [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]=>0100 [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4]=>0101 [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[2,3,4,1,5]=>0010 [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[2,3,4,5,1]=>0001 [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[4,2,3,5,1]=>[2,3,5,1,4]=>0001 [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[3,2,4,1,5]=>[2,4,1,3,5]=>0010 [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[5,2,4,3,1]=>[2,4,3,5,1]=>0011 [1,1,0,1,1,0,1,0,0,0]=>[2,4,5,3,1]=>[3,2,5,4,1]=>[2,4,5,1,3]=>0001 [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[3,2,4,5,1]=>[2,5,1,3,4]=>0001 [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>0100 [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[2,3,1,5,4]=>[3,1,2,5,4]=>0101 [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[4,3,2,1,5]=>[3,2,4,1,5]=>0110 [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[5,3,2,4,1]=>[3,2,4,5,1]=>0101 [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[4,3,2,5,1]=>[3,2,5,1,4]=>0101 [1,1,1,0,1,0,0,0,1,0]=>[3,4,2,1,5]=>[2,4,3,1,5]=>[3,4,1,2,5]=>0010 [1,1,1,0,1,0,0,1,0,0]=>[3,4,2,5,1]=>[5,4,3,2,1]=>[3,4,2,5,1]=>0011 [1,1,1,0,1,0,1,0,0,0]=>[3,4,5,2,1]=>[2,5,3,4,1]=>[3,4,5,1,2]=>0001 [1,1,1,0,1,1,0,0,0,0]=>[3,5,4,2,1]=>[2,4,3,5,1]=>[3,5,1,2,4]=>0001 [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>0010 [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[5,3,4,2,1]=>[4,2,3,5,1]=>0011 [1,1,1,1,0,0,1,0,0,0]=>[4,3,5,2,1]=>[2,5,4,3,1]=>[4,3,5,1,2]=>0011 [1,1,1,1,0,1,0,0,0,0]=>[4,5,3,2,1]=>[2,3,5,4,1]=>[4,5,1,2,3]=>0001 [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[2,3,4,5,1]=>[5,1,2,3,4]=>0001 [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>00001 [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>00010 [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>00001 [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>[1,2,3,6,4,5]=>00001 [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>00100 [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>00101 [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>00010 [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[1,2,4,5,6,3]=>00001 [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]=>[1,2,4,6,3,5]=>00001 [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>[1,2,5,3,4,6]=>00010 [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]=>[1,2,5,4,6,3]=>00011 [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]=>[1,2,5,6,3,4]=>00001 [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]=>[1,2,6,3,4,5]=>00001 [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>01000 [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>01001 [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>01010 [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>01001 [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>[1,3,2,6,4,5]=>01001 [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>00100 [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>00101 [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[1,3,4,5,2,6]=>00010 [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[1,3,4,5,6,2]=>00001 [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]=>[1,3,4,6,2,5]=>00001 [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]=>[1,3,5,2,4,6]=>00010 [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]=>[1,3,5,4,6,2]=>00011 [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]=>[1,3,5,6,2,4]=>00001 [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]=>[1,3,6,2,4,5]=>00001 [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>00100 [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>[1,4,2,3,6,5]=>00101 [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]=>[1,4,3,5,2,6]=>00110 [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]=>[1,4,3,5,6,2]=>00101 [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]=>[1,4,3,6,2,5]=>00101 [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]=>[1,4,5,2,3,6]=>00010 [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>[1,4,5,3,6,2]=>00011 [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]=>[1,4,5,6,2,3]=>00001 [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]=>[1,4,6,2,3,5]=>00001 [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>00010 [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]=>[1,5,3,4,6,2]=>00011 [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2]=>[1,5,4,6,2,3]=>00011 [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]=>[1,5,6,2,3,4]=>00001 [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>00001 [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>10001 [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>10010 [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4]=>10001 [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4]=>[2,1,3,6,4,5]=>10001 [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>10100 [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>10101 [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6]=>10010 [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[2,1,4,5,6,3]=>10001 [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[2,1,5,4,6,3]=>[2,1,4,6,3,5]=>10001 [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6]=>[2,1,5,3,4,6]=>10010 [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[2,1,5,4,6,3]=>10011 [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,5,6,4,3]=>[2,1,4,6,5,3]=>[2,1,5,6,3,4]=>10001 [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5]=>10001 [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>01000 [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5]=>01001 [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6]=>01010 [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>01001 [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[3,2,1,5,6,4]=>[2,3,1,6,4,5]=>01001 [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[2,3,4,1,5,6]=>00100 [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[2,3,4,1,6,5]=>00101 [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[2,3,4,5,1,6]=>00010 [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[2,3,4,5,6,1]=>00001 [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[5,2,3,4,6,1]=>[2,3,4,6,1,5]=>00001 [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[4,2,3,5,1,6]=>[2,3,5,1,4,6]=>00010 [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[6,2,3,5,4,1]=>[2,3,5,4,6,1]=>00011 [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,5,6,4,1]=>[4,2,3,6,5,1]=>[2,3,5,6,1,4]=>00001 [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[4,2,3,5,6,1]=>[2,3,6,1,4,5]=>00001 [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[3,2,4,1,5,6]=>[2,4,1,3,5,6]=>00100 [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[3,2,4,1,6,5]=>[2,4,1,3,6,5]=>00101 [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[5,2,4,3,1,6]=>[2,4,3,5,1,6]=>00110 [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[6,2,4,3,5,1]=>[2,4,3,5,6,1]=>00101 [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[5,2,4,3,6,1]=>[2,4,3,6,1,5]=>00101 [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,4,5,3,1,6]=>[3,2,5,4,1,6]=>[2,4,5,1,3,6]=>00010 [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1]=>[2,4,5,3,6,1]=>00011 [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,4,5,6,3,1]=>[3,2,6,4,5,1]=>[2,4,5,6,1,3]=>00001 [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1]=>[2,4,6,1,3,5]=>00001 [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[3,2,4,5,1,6]=>[2,5,1,3,4,6]=>00010 [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[6,2,4,5,3,1]=>[2,5,3,4,6,1]=>00011 [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,5,4,6,3,1]=>[3,2,6,5,4,1]=>[2,5,4,6,1,3]=>00011 [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1]=>[2,5,6,1,3,4]=>00001 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1]=>[2,6,1,3,4,5]=>00001 [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>01000 [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5]=>[3,1,2,4,6,5]=>01001 [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6]=>[3,1,2,5,4,6]=>01010 [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[2,3,1,6,5,4]=>[3,1,2,5,6,4]=>01001 [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>[3,1,2,6,4,5]=>01001 [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6]=>[3,2,4,1,5,6]=>01100 [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[4,3,2,1,6,5]=>[3,2,4,1,6,5]=>01101 [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6]=>[3,2,4,5,1,6]=>01010 [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1]=>[3,2,4,5,6,1]=>01001 [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[5,3,2,4,6,1]=>[3,2,4,6,1,5]=>01001 [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[4,3,2,5,1,6]=>[3,2,5,1,4,6]=>01010 [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[6,3,2,5,4,1]=>[3,2,5,4,6,1]=>01011 [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,6,4,1]=>[4,3,2,6,5,1]=>[3,2,5,6,1,4]=>01001 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1]=>[3,2,6,1,4,5]=>01001 [1,1,1,0,1,0,0,0,1,0,1,0]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6]=>[3,4,1,2,5,6]=>00100 [1,1,1,0,1,0,0,0,1,1,0,0]=>[3,4,2,1,6,5]=>[2,4,3,1,6,5]=>[3,4,1,2,6,5]=>00101 [1,1,1,0,1,0,0,1,0,0,1,0]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6]=>[3,4,2,5,1,6]=>00110 [1,1,1,0,1,0,0,1,0,1,0,0]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1]=>[3,4,2,5,6,1]=>00101 [1,1,1,0,1,0,0,1,1,0,0,0]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1]=>[3,4,2,6,1,5]=>00101 [1,1,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6]=>[3,4,5,1,2,6]=>00010 [1,1,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1]=>[3,4,5,2,6,1]=>00011 [1,1,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1]=>[3,4,5,6,1,2]=>00001 [1,1,1,0,1,0,1,1,0,0,0,0]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1]=>[3,4,6,1,2,5]=>00001 [1,1,1,0,1,1,0,0,0,0,1,0]=>[3,5,4,2,1,6]=>[2,4,3,5,1,6]=>[3,5,1,2,4,6]=>00010 [1,1,1,0,1,1,0,0,0,1,0,0]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1]=>[3,5,2,4,6,1]=>00011 [1,1,1,0,1,1,0,0,1,0,0,0]=>[3,5,4,6,2,1]=>[2,6,3,5,4,1]=>[3,5,4,6,1,2]=>00011 [1,1,1,0,1,1,0,1,0,0,0,0]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1]=>[3,5,6,1,2,4]=>00001 [1,1,1,0,1,1,1,0,0,0,0,0]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1]=>[3,6,1,2,4,5]=>00001 [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>00100 [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[2,3,4,1,6,5]=>[4,1,2,3,6,5]=>00101 [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[5,3,4,2,1,6]=>[4,2,3,5,1,6]=>00110 [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[6,3,4,2,5,1]=>[4,2,3,5,6,1]=>00101 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1]=>[4,2,3,6,1,5]=>00101 [1,1,1,1,0,0,1,0,0,0,1,0]=>[4,3,5,2,1,6]=>[2,5,4,3,1,6]=>[4,3,5,1,2,6]=>00110 [1,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]=>[4,3,5,2,6,1]=>00111 [1,1,1,1,0,0,1,0,1,0,0,0]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1]=>[4,3,5,6,1,2]=>00101 [1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>[4,3,6,1,2,5]=>00101 [1,1,1,1,0,1,0,0,0,0,1,0]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6]=>[4,5,1,2,3,6]=>00010 [1,1,1,1,0,1,0,0,0,1,0,0]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>[4,5,2,3,6,1]=>00011 [1,1,1,1,0,1,0,0,1,0,0,0]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>[4,5,3,6,1,2]=>00011 [1,1,1,1,0,1,0,1,0,0,0,0]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1]=>[4,5,6,1,2,3]=>00001 [1,1,1,1,0,1,1,0,0,0,0,0]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>[4,6,1,2,3,5]=>00001 [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>00010 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]=>[5,2,3,4,6,1]=>00011 [1,1,1,1,1,0,0,0,1,0,0,0]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>[5,3,4,6,1,2]=>00011 [1,1,1,1,1,0,0,1,0,0,0,0]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>[5,4,6,1,2,3]=>00011 [1,1,1,1,1,0,1,0,0,0,0,0]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>[5,6,1,2,3,4]=>00001 [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>00001 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>000001 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>000010 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>000001 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,5,6]=>000001 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>000100 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>000101 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>000010 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[1,2,3,5,6,7,4]=>000001 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>[1,2,3,5,7,4,6]=>000001 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,4,5,7]=>000010 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>[1,2,3,6,5,7,4]=>000011 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>[1,2,3,6,7,4,5]=>000001 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,4,5,6]=>000001 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>001000 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>001001 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>001010 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>001001 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,5,6]=>001001 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>000100 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>000101 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[1,2,4,5,6,3,7]=>000010 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[1,2,4,5,6,7,3]=>000001 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]=>[1,2,4,5,7,3,6]=>000001 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>[1,2,4,6,3,5,7]=>000010 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]=>[1,2,4,6,5,7,3]=>000011 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]=>[1,2,4,6,7,3,5]=>000001 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]=>[1,2,4,7,3,5,6]=>000001 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,3,4,6,7]=>000100 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>[1,2,5,3,4,7,6]=>000101 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>[1,2,5,4,6,3,7]=>000110 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]=>[1,2,5,4,6,7,3]=>000101 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3]=>[1,2,5,4,7,3,6]=>000101 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>[1,2,5,6,3,4,7]=>000010 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]=>[1,2,5,6,4,7,3]=>000011 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]=>[1,2,5,6,7,3,4]=>000001 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]=>[1,2,5,7,3,4,6]=>000001 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>[1,2,6,3,4,5,7]=>000010 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]=>[1,2,6,4,5,7,3]=>000011 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]=>[1,2,6,5,7,3,4]=>000011 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]=>[1,2,6,7,3,4,5]=>000001 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>000001 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>010000 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>010001 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>010010 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>010001 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,5,6]=>010001 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>010100 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>010101 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>010010 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[1,3,2,5,6,7,4]=>010001 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]=>[1,3,2,5,7,4,6]=>010001 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,4,5,7]=>010010 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4]=>[1,3,2,6,5,7,4]=>010011 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4]=>[1,3,2,6,7,4,5]=>010001 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]=>[1,3,2,7,4,5,6]=>010001 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>001000 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>001001 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>001010 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>001001 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]=>[1,3,4,2,7,5,6]=>001001 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[1,3,4,5,2,6,7]=>000100 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[1,3,4,5,2,7,6]=>000101 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[1,3,4,5,6,2,7]=>000010 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[1,3,4,5,6,7,2]=>000001 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2]=>[1,3,4,5,7,2,6]=>000001 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]=>[1,3,4,6,2,5,7]=>000010 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]=>[1,3,4,6,5,7,2]=>000011 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2]=>[1,3,4,6,7,2,5]=>000001 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2]=>[1,3,4,7,2,5,6]=>000001 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>[1,3,5,2,4,6,7]=>000100 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]=>[1,3,5,2,4,7,6]=>000101 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]=>[1,3,5,4,6,2,7]=>000110 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]=>[1,3,5,4,6,7,2]=>000101 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[1,6,3,5,4,7,2]=>[1,3,5,4,7,2,6]=>000101 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]=>[1,3,5,6,2,4,7]=>000010 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]=>[1,3,5,6,4,7,2]=>000011 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2]=>[1,3,5,6,7,2,4]=>000001 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2]=>[1,3,5,7,2,4,6]=>000001 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]=>[1,3,6,2,4,5,7]=>000010 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[1,7,3,5,6,4,2]=>[1,3,6,4,5,7,2]=>000011 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2]=>[1,3,6,5,7,2,4]=>000011 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2]=>[1,3,6,7,2,4,5]=>000001 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2]=>[1,3,7,2,4,5,6]=>000001 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7]=>001000 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>[1,4,2,3,5,7,6]=>001001 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>[1,4,2,3,6,5,7]=>001010 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]=>[1,4,2,3,6,7,5]=>001001 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>[1,4,2,3,7,5,6]=>001001 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>[1,4,3,5,2,6,7]=>001100 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]=>[1,4,3,5,2,7,6]=>001101 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]=>[1,4,3,5,6,2,7]=>001010 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2]=>[1,4,3,5,6,7,2]=>001001 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[1,6,4,3,5,7,2]=>[1,4,3,5,7,2,6]=>001001 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7]=>[1,4,3,6,2,5,7]=>001010 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2]=>[1,4,3,6,5,7,2]=>001011 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,6,7,5,2]=>[1,5,4,3,7,6,2]=>[1,4,3,6,7,2,5]=>001001 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2]=>[1,4,3,7,2,5,6]=>001001 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>[1,4,5,2,3,6,7]=>000100 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6]=>[1,4,5,2,3,7,6]=>000101 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]=>[1,4,5,3,6,2,7]=>000110 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2]=>[1,4,5,3,6,7,2]=>000101 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,4,5,3,7,6,2]=>[1,6,5,4,3,7,2]=>[1,4,5,3,7,2,6]=>000101 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]=>[1,4,5,6,2,3,7]=>000010 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2]=>[1,4,5,6,3,7,2]=>000011 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2]=>[1,4,5,6,7,2,3]=>000001 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2]=>[1,4,5,7,2,3,6]=>000001 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]=>[1,4,6,2,3,5,7]=>000010 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,4,6,5,3,7,2]=>[1,7,5,4,6,3,2]=>[1,4,6,3,5,7,2]=>000011 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,4,6,5,7,3,2]=>[1,3,7,4,6,5,2]=>[1,4,6,5,7,2,3]=>000011 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2]=>[1,4,6,7,2,3,5]=>000001 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2]=>[1,4,7,2,3,5,6]=>000001 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>[1,5,2,3,4,6,7]=>000100 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]=>[1,5,2,3,4,7,6]=>000101 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]=>[1,5,3,4,6,2,7]=>000110 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[1,7,4,5,3,6,2]=>[1,5,3,4,6,7,2]=>000101 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[1,6,4,5,3,7,2]=>[1,5,3,4,7,2,6]=>000101 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]=>[1,5,4,6,2,3,7]=>000110 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]=>[1,5,4,6,3,7,2]=>000111 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,5,4,6,7,3,2]=>[1,3,7,5,4,6,2]=>[1,5,4,6,7,2,3]=>000101 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,5,4,7,6,3,2]=>[1,3,6,5,4,7,2]=>[1,5,4,7,2,3,6]=>000101 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]=>[1,5,6,2,3,4,7]=>000010 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,5,6,4,3,7,2]=>[1,7,4,6,5,3,2]=>[1,5,6,3,4,7,2]=>000011 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,5,6,4,7,3,2]=>[1,3,7,6,5,4,2]=>[1,5,6,4,7,2,3]=>000011 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2]=>[1,5,6,7,2,3,4]=>000001 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2]=>[1,5,7,2,3,4,6]=>000001 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>000010 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[1,7,4,5,6,3,2]=>[1,6,3,4,5,7,2]=>000011 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,6,5,4,7,3,2]=>[1,3,7,5,6,4,2]=>[1,6,4,5,7,2,3]=>000011 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,6,5,7,4,3,2]=>[1,3,4,7,6,5,2]=>[1,6,5,7,2,3,4]=>000011 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2]=>[1,6,7,2,3,4,5]=>000001 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2]=>[1,7,2,3,4,5,6]=>000001 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>100001 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>100010 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]=>100001 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6]=>100001 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>100100 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>100101 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]=>100010 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>[2,1,3,5,6,7,4]=>100001 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[2,1,3,6,5,7,4]=>[2,1,3,5,7,4,6]=>100001 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7]=>100010 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[2,1,3,7,6,5,4]=>[2,1,3,6,5,7,4]=>100011 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,6,7,5,4]=>[2,1,3,5,7,6,4]=>[2,1,3,6,7,4,5]=>100001 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6]=>100001 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>101000 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>101001 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>101010 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]=>101001 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,5,6]=>101001 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]=>100100 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]=>100101 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[2,1,4,5,6,3,7]=>100010 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[2,1,4,5,6,7,3]=>100001 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[2,1,6,4,5,7,3]=>[2,1,4,5,7,3,6]=>100001 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[2,1,5,4,6,3,7]=>[2,1,4,6,3,5,7]=>100010 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[2,1,7,4,6,5,3]=>[2,1,4,6,5,7,3]=>100011 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,6,7,5,3]=>[2,1,5,4,7,6,3]=>[2,1,4,6,7,3,5]=>100001 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[2,1,5,4,6,7,3]=>[2,1,4,7,3,5,6]=>100001 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]=>[2,1,5,3,4,6,7]=>100100 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6]=>100101 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[2,1,6,5,4,3,7]=>[2,1,5,4,6,3,7]=>100110 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[2,1,7,5,4,6,3]=>[2,1,5,4,6,7,3]=>100101 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[2,1,6,5,4,7,3]=>[2,1,5,4,7,3,6]=>100101 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,5,6,4,3,7]=>[2,1,4,6,5,3,7]=>[2,1,5,6,3,4,7]=>100010 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>[2,1,5,6,4,7,3]=>100011 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,4,3]=>[2,1,4,7,5,6,3]=>[2,1,5,6,7,3,4]=>100001 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,5,7,6,4,3]=>[2,1,4,6,5,7,3]=>[2,1,5,7,3,4,6]=>100001 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7]=>[2,1,6,3,4,5,7]=>100010 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[2,1,7,5,6,4,3]=>[2,1,6,4,5,7,3]=>100011 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,6,5,7,4,3]=>[2,1,4,7,6,5,3]=>[2,1,6,5,7,3,4]=>100011 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,6,7,5,4,3]=>[2,1,4,5,7,6,3]=>[2,1,6,7,3,4,5]=>100001 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6]=>100001 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>010000 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>010001 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>010010 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>010001 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[3,2,1,4,6,7,5]=>[2,3,1,4,7,5,6]=>010001 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>010100 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>010101 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>010010 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[2,3,1,5,6,7,4]=>010001 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[3,2,1,6,5,7,4]=>[2,3,1,5,7,4,6]=>010001 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[3,2,1,5,6,4,7]=>[2,3,1,6,4,5,7]=>010010 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4]=>[2,3,1,6,5,7,4]=>010011 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,6,7,5,4]=>[3,2,1,5,7,6,4]=>[2,3,1,6,7,4,5]=>010001 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[3,2,1,5,6,7,4]=>[2,3,1,7,4,5,6]=>010001 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[2,3,4,1,5,6,7]=>001000 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[2,3,4,1,5,7,6]=>001001 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[2,3,4,1,6,5,7]=>001010 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[2,3,4,1,6,7,5]=>001001 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5]=>[2,3,4,1,7,5,6]=>001001 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[2,3,4,5,1,6,7]=>000100 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[2,3,4,5,1,7,6]=>000101 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[2,3,4,5,6,1,7]=>000010 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[2,3,4,5,6,7,1]=>000001 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[6,2,3,4,5,7,1]=>[2,3,4,5,7,1,6]=>000001 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[5,2,3,4,6,1,7]=>[2,3,4,6,1,5,7]=>000010 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1]=>[2,3,4,6,5,7,1]=>000011 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,6,7,5,1]=>[5,2,3,4,7,6,1]=>[2,3,4,6,7,1,5]=>000001 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[5,2,3,4,6,7,1]=>[2,3,4,7,1,5,6]=>000001 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[4,2,3,5,1,6,7]=>[2,3,5,1,4,6,7]=>000100 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[4,2,3,5,1,7,6]=>[2,3,5,1,4,7,6]=>000101 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7]=>[2,3,5,4,6,1,7]=>000110 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1]=>[2,3,5,4,6,7,1]=>000101 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[6,2,3,5,4,7,1]=>[2,3,5,4,7,1,6]=>000101 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,5,6,4,1,7]=>[4,2,3,6,5,1,7]=>[2,3,5,6,1,4,7]=>000010 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1]=>[2,3,5,6,4,7,1]=>000011 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1]=>[2,3,5,6,7,1,4]=>000001 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,5,7,6,4,1]=>[4,2,3,6,5,7,1]=>[2,3,5,7,1,4,6]=>000001 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[4,2,3,5,6,1,7]=>[2,3,6,1,4,5,7]=>000010 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[7,2,3,5,6,4,1]=>[2,3,6,4,5,7,1]=>000011 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,6,5,7,4,1]=>[4,2,3,7,6,5,1]=>[2,3,6,5,7,1,4]=>000011 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,6,7,5,4,1]=>[4,2,3,5,7,6,1]=>[2,3,6,7,1,4,5]=>000001 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[4,2,3,5,6,7,1]=>[2,3,7,1,4,5,6]=>000001 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[3,2,4,1,5,6,7]=>[2,4,1,3,5,6,7]=>001000 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[3,2,4,1,5,7,6]=>[2,4,1,3,5,7,6]=>001001 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[3,2,4,1,6,5,7]=>[2,4,1,3,6,5,7]=>001010 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[3,2,4,1,7,6,5]=>[2,4,1,3,6,7,5]=>001001 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5]=>[2,4,1,3,7,5,6]=>001001 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7]=>[2,4,3,5,1,6,7]=>001100 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[5,2,4,3,1,7,6]=>[2,4,3,5,1,7,6]=>001101 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7]=>[2,4,3,5,6,1,7]=>001010 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1]=>[2,4,3,5,6,7,1]=>001001 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[6,2,4,3,5,7,1]=>[2,4,3,5,7,1,6]=>001001 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[5,2,4,3,6,1,7]=>[2,4,3,6,1,5,7]=>001010 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1]=>[2,4,3,6,5,7,1]=>001011 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,6,7,5,1]=>[5,2,4,3,7,6,1]=>[2,4,3,6,7,1,5]=>001001 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[5,2,4,3,6,7,1]=>[2,4,3,7,1,5,6]=>001001 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,3,1,6,7]=>[3,2,5,4,1,6,7]=>[2,4,5,1,3,6,7]=>000100 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,3,1,7,6]=>[3,2,5,4,1,7,6]=>[2,4,5,1,3,7,6]=>000101 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7]=>[2,4,5,3,6,1,7]=>000110 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1]=>[2,4,5,3,6,7,1]=>000101 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,3,7,6,1]=>[6,2,5,4,3,7,1]=>[2,4,5,3,7,1,6]=>000101 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,3,1,7]=>[3,2,6,4,5,1,7]=>[2,4,5,6,1,3,7]=>000010 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1]=>[2,4,5,6,3,7,1]=>000011 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,3,1]=>[3,2,7,4,5,6,1]=>[2,4,5,6,7,1,3]=>000001 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,4,5,7,6,3,1]=>[3,2,6,4,5,7,1]=>[2,4,5,7,1,3,6]=>000001 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,4,6,5,3,1,7]=>[3,2,5,4,6,1,7]=>[2,4,6,1,3,5,7]=>000010 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,4,6,5,3,7,1]=>[7,2,5,4,6,3,1]=>[2,4,6,3,5,7,1]=>000011 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,4,6,5,7,3,1]=>[3,2,7,4,6,5,1]=>[2,4,6,5,7,1,3]=>000011 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,4,6,7,5,3,1]=>[3,2,5,4,7,6,1]=>[2,4,6,7,1,3,5]=>000001 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1]=>[2,4,7,1,3,5,6]=>000001 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[3,2,4,5,1,6,7]=>[2,5,1,3,4,6,7]=>000100 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[3,2,4,5,1,7,6]=>[2,5,1,3,4,7,6]=>000101 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[6,2,4,5,3,1,7]=>[2,5,3,4,6,1,7]=>000110 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[7,2,4,5,3,6,1]=>[2,5,3,4,6,7,1]=>000101 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[6,2,4,5,3,7,1]=>[2,5,3,4,7,1,6]=>000101 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,5,4,6,3,1,7]=>[3,2,6,5,4,1,7]=>[2,5,4,6,1,3,7]=>000110 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1]=>[2,5,4,6,3,7,1]=>000111 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,5,4,6,7,3,1]=>[3,2,7,5,4,6,1]=>[2,5,4,6,7,1,3]=>000101 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,5,4,7,6,3,1]=>[3,2,6,5,4,7,1]=>[2,5,4,7,1,3,6]=>000101 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,5,6,4,3,1,7]=>[3,2,4,6,5,1,7]=>[2,5,6,1,3,4,7]=>000010 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,5,6,4,3,7,1]=>[7,2,4,6,5,3,1]=>[2,5,6,3,4,7,1]=>000011 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,5,6,4,7,3,1]=>[3,2,7,6,5,4,1]=>[2,5,6,4,7,1,3]=>000011 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1]=>[2,5,6,7,1,3,4]=>000001 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,5,7,6,4,3,1]=>[3,2,4,6,5,7,1]=>[2,5,7,1,3,4,6]=>000001 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[3,2,4,5,6,1,7]=>[2,6,1,3,4,5,7]=>000010 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[7,2,4,5,6,3,1]=>[2,6,3,4,5,7,1]=>000011 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,6,5,4,7,3,1]=>[3,2,7,5,6,4,1]=>[2,6,4,5,7,1,3]=>000011 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,6,5,7,4,3,1]=>[3,2,4,7,6,5,1]=>[2,6,5,7,1,3,4]=>000011 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,6,7,5,4,3,1]=>[3,2,4,5,7,6,1]=>[2,6,7,1,3,4,5]=>000001 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1]=>[2,7,1,3,4,5,6]=>000001 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>010000 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>[3,1,2,4,5,7,6]=>010001 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7]=>010010 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5]=>[3,1,2,4,6,7,5]=>010001 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6]=>010001 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>[3,1,2,5,4,6,7]=>010100 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>[3,1,2,5,4,7,6]=>010101 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[2,3,1,6,5,4,7]=>[3,1,2,5,6,4,7]=>010010 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[2,3,1,7,5,6,4]=>[3,1,2,5,6,7,4]=>010001 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4]=>[3,1,2,5,7,4,6]=>010001 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7]=>010010 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[2,3,1,7,6,5,4]=>[3,1,2,6,5,7,4]=>010011 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,6,7,5,4]=>[2,3,1,5,7,6,4]=>[3,1,2,6,7,4,5]=>010001 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6]=>010001 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]=>[3,2,4,1,5,6,7]=>011000 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6]=>[3,2,4,1,5,7,6]=>011001 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7]=>[3,2,4,1,6,5,7]=>011010 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5]=>[3,2,4,1,6,7,5]=>011001 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[4,3,2,1,6,7,5]=>[3,2,4,1,7,5,6]=>011001 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,2,4,5,1,6,7]=>010100 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,2,4,5,1,7,6]=>010101 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]=>[3,2,4,5,6,1,7]=>010010 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1]=>[3,2,4,5,6,7,1]=>010001 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[6,3,2,4,5,7,1]=>[3,2,4,5,7,1,6]=>010001 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[5,3,2,4,6,1,7]=>[3,2,4,6,1,5,7]=>010010 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1]=>[3,2,4,6,5,7,1]=>010011 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,6,7,5,1]=>[5,3,2,4,7,6,1]=>[3,2,4,6,7,1,5]=>010001 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[5,3,2,4,6,7,1]=>[3,2,4,7,1,5,6]=>010001 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[4,3,2,5,1,6,7]=>[3,2,5,1,4,6,7]=>010100 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[4,3,2,5,1,7,6]=>[3,2,5,1,4,7,6]=>010101 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7]=>[3,2,5,4,6,1,7]=>010110 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1]=>[3,2,5,4,6,7,1]=>010101 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[6,3,2,5,4,7,1]=>[3,2,5,4,7,1,6]=>010101 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,5,6,4,1,7]=>[4,3,2,6,5,1,7]=>[3,2,5,6,1,4,7]=>010010 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1]=>[3,2,5,6,4,7,1]=>010011 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,4,1]=>[4,3,2,7,5,6,1]=>[3,2,5,6,7,1,4]=>010001 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,5,7,6,4,1]=>[4,3,2,6,5,7,1]=>[3,2,5,7,1,4,6]=>010001 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[4,3,2,5,6,1,7]=>[3,2,6,1,4,5,7]=>010010 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[7,3,2,5,6,4,1]=>[3,2,6,4,5,7,1]=>010011 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,6,5,7,4,1]=>[4,3,2,7,6,5,1]=>[3,2,6,5,7,1,4]=>010011 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,6,7,5,4,1]=>[4,3,2,5,7,6,1]=>[3,2,6,7,1,4,5]=>010001 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1]=>[3,2,7,1,4,5,6]=>010001 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7]=>[3,4,1,2,5,6,7]=>001000 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[3,4,2,1,5,7,6]=>[2,4,3,1,5,7,6]=>[3,4,1,2,5,7,6]=>001001 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[3,4,2,1,6,5,7]=>[2,4,3,1,6,5,7]=>[3,4,1,2,6,5,7]=>001010 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,2,1,6,7,5]=>[2,4,3,1,7,6,5]=>[3,4,1,2,6,7,5]=>001001 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5]=>[3,4,1,2,7,5,6]=>001001 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,2,5,1,6,7]=>001100 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,2,5,1,7,6]=>001101 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]=>[3,4,2,5,6,1,7]=>001010 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1]=>[3,4,2,5,6,7,1]=>001001 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[3,4,2,5,7,6,1]=>[6,4,3,2,5,7,1]=>[3,4,2,5,7,1,6]=>001001 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[3,4,2,6,5,1,7]=>[5,4,3,2,6,1,7]=>[3,4,2,6,1,5,7]=>001010 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1]=>[3,4,2,6,5,7,1]=>001011 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[3,4,2,6,7,5,1]=>[5,4,3,2,7,6,1]=>[3,4,2,6,7,1,5]=>001001 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[3,4,2,7,6,5,1]=>[5,4,3,2,6,7,1]=>[3,4,2,7,1,5,6]=>001001 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7]=>[3,4,5,1,2,6,7]=>000100 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,2,1,7,6]=>[2,5,3,4,1,7,6]=>[3,4,5,1,2,7,6]=>000101 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]=>[3,4,5,2,6,1,7]=>000110 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1]=>[3,4,5,2,6,7,1]=>000101 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,2,7,6,1]=>[6,5,3,4,2,7,1]=>[3,4,5,2,7,1,6]=>000101 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7]=>[3,4,5,6,1,2,7]=>000010 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1]=>[3,4,5,6,2,7,1]=>000011 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1]=>[3,4,5,6,7,1,2]=>000001 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,7,6,2,1]=>[2,6,3,4,5,7,1]=>[3,4,5,7,1,2,6]=>000001 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[3,4,6,5,2,1,7]=>[2,5,3,4,6,1,7]=>[3,4,6,1,2,5,7]=>000010 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,6,5,2,7,1]=>[7,5,3,4,6,2,1]=>[3,4,6,2,5,7,1]=>000011 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,6,5,7,2,1]=>[2,7,3,4,6,5,1]=>[3,4,6,5,7,1,2]=>000011 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,6,7,5,2,1]=>[2,5,3,4,7,6,1]=>[3,4,6,7,1,2,5]=>000001 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1]=>[3,4,7,1,2,5,6]=>000001 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[3,5,4,2,1,6,7]=>[2,4,3,5,1,6,7]=>[3,5,1,2,4,6,7]=>000100 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,5,4,2,1,7,6]=>[2,4,3,5,1,7,6]=>[3,5,1,2,4,7,6]=>000101 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[3,5,4,2,6,1,7]=>[6,4,3,5,2,1,7]=>[3,5,2,4,6,1,7]=>000110 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[3,5,4,2,6,7,1]=>[7,4,3,5,2,6,1]=>[3,5,2,4,6,7,1]=>000101 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[3,5,4,2,7,6,1]=>[6,4,3,5,2,7,1]=>[3,5,2,4,7,1,6]=>000101 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[3,5,4,6,2,1,7]=>[2,6,3,5,4,1,7]=>[3,5,4,6,1,2,7]=>000110 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1]=>[3,5,4,6,2,7,1]=>000111 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[3,5,4,6,7,2,1]=>[2,7,3,5,4,6,1]=>[3,5,4,6,7,1,2]=>000101 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[3,5,4,7,6,2,1]=>[2,6,3,5,4,7,1]=>[3,5,4,7,1,2,6]=>000101 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[3,5,6,4,2,1,7]=>[2,4,3,6,5,1,7]=>[3,5,6,1,2,4,7]=>000010 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,5,6,4,2,7,1]=>[7,4,3,6,5,2,1]=>[3,5,6,2,4,7,1]=>000011 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[3,5,6,4,7,2,1]=>[2,7,3,6,5,4,1]=>[3,5,6,4,7,1,2]=>000011 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1]=>[3,5,6,7,1,2,4]=>000001 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[3,5,7,6,4,2,1]=>[2,4,3,6,5,7,1]=>[3,5,7,1,2,4,6]=>000001 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[3,6,5,4,2,1,7]=>[2,4,3,5,6,1,7]=>[3,6,1,2,4,5,7]=>000010 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,6,5,4,2,7,1]=>[7,4,3,5,6,2,1]=>[3,6,2,4,5,7,1]=>000011 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[3,6,5,4,7,2,1]=>[2,7,3,5,6,4,1]=>[3,6,4,5,7,1,2]=>000011 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,6,5,7,4,2,1]=>[2,4,3,7,6,5,1]=>[3,6,5,7,1,2,4]=>000011 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,6,7,5,4,2,1]=>[2,4,3,5,7,6,1]=>[3,6,7,1,2,4,5]=>000001 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1]=>[3,7,1,2,4,5,6]=>000001 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>001000 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6]=>[4,1,2,3,5,7,6]=>001001 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7]=>[4,1,2,3,6,5,7]=>001010 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5]=>[4,1,2,3,6,7,5]=>001001 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5]=>[4,1,2,3,7,5,6]=>001001 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7]=>[4,2,3,5,1,6,7]=>001100 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[5,3,4,2,1,7,6]=>[4,2,3,5,1,7,6]=>001101 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7]=>[4,2,3,5,6,1,7]=>001010 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[7,3,4,2,5,6,1]=>[4,2,3,5,6,7,1]=>001001 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[6,3,4,2,5,7,1]=>[4,2,3,5,7,1,6]=>001001 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[5,3,4,2,6,1,7]=>[4,2,3,6,1,5,7]=>001010 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[7,3,4,2,6,5,1]=>[4,2,3,6,5,7,1]=>001011 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,6,7,5,1]=>[5,3,4,2,7,6,1]=>[4,2,3,6,7,1,5]=>001001 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[5,3,4,2,6,7,1]=>[4,2,3,7,1,5,6]=>001001 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7]=>[4,3,5,1,2,6,7]=>001100 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[4,3,5,2,1,7,6]=>[2,5,4,3,1,7,6]=>[4,3,5,1,2,7,6]=>001101 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]=>[4,3,5,2,6,1,7]=>001110 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1]=>[4,3,5,2,6,7,1]=>001101 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[4,3,5,2,7,6,1]=>[6,5,4,3,2,7,1]=>[4,3,5,2,7,1,6]=>001101 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7]=>[4,3,5,6,1,2,7]=>001010 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1]=>[4,3,5,6,2,7,1]=>001011 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,2,1]=>[2,7,4,3,5,6,1]=>[4,3,5,6,7,1,2]=>001001 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[4,3,5,7,6,2,1]=>[2,6,4,3,5,7,1]=>[4,3,5,7,1,2,6]=>001001 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[4,3,6,5,2,1,7]=>[2,5,4,3,6,1,7]=>[4,3,6,1,2,5,7]=>001010 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[4,3,6,5,2,7,1]=>[7,5,4,3,6,2,1]=>[4,3,6,2,5,7,1]=>001011 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[4,3,6,5,7,2,1]=>[2,7,4,3,6,5,1]=>[4,3,6,5,7,1,2]=>001011 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[4,3,6,7,5,2,1]=>[2,5,4,3,7,6,1]=>[4,3,6,7,1,2,5]=>001001 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[4,3,7,6,5,2,1]=>[2,5,4,3,6,7,1]=>[4,3,7,1,2,5,6]=>001001 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7]=>[4,5,1,2,3,6,7]=>000100 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,3,2,1,7,6]=>[2,3,5,4,1,7,6]=>[4,5,1,2,3,7,6]=>000101 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7]=>[4,5,2,3,6,1,7]=>000110 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,3,2,6,7,1]=>[7,3,5,4,2,6,1]=>[4,5,2,3,6,7,1]=>000101 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,3,2,7,6,1]=>[6,3,5,4,2,7,1]=>[4,5,2,3,7,1,6]=>000101 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7]=>[4,5,3,6,1,2,7]=>000110 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]=>[4,5,3,6,2,7,1]=>000111 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,3,6,7,2,1]=>[2,7,5,4,3,6,1]=>[4,5,3,6,7,1,2]=>000101 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,3,7,6,2,1]=>[2,6,5,4,3,7,1]=>[4,5,3,7,1,2,6]=>000101 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7]=>[4,5,6,1,2,3,7]=>000010 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,3,2,7,1]=>[7,3,6,4,5,2,1]=>[4,5,6,2,3,7,1]=>000011 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,3,7,2,1]=>[2,7,6,4,5,3,1]=>[4,5,6,3,7,1,2]=>000011 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1]=>[4,5,6,7,1,2,3]=>000001 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,7,6,3,2,1]=>[2,3,6,4,5,7,1]=>[4,5,7,1,2,3,6]=>000001 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[4,6,5,3,2,1,7]=>[2,3,5,4,6,1,7]=>[4,6,1,2,3,5,7]=>000010 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[4,6,5,3,2,7,1]=>[7,3,5,4,6,2,1]=>[4,6,2,3,5,7,1]=>000011 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[4,6,5,3,7,2,1]=>[2,7,5,4,6,3,1]=>[4,6,3,5,7,1,2]=>000011 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[4,6,5,7,3,2,1]=>[2,3,7,4,6,5,1]=>[4,6,5,7,1,2,3]=>000011 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[4,6,7,5,3,2,1]=>[2,3,5,4,7,6,1]=>[4,6,7,1,2,3,5]=>000001 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1]=>[4,7,1,2,3,5,6]=>000001 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>000100 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6]=>[5,1,2,3,4,7,6]=>000101 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7]=>[5,2,3,4,6,1,7]=>000110 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1]=>[5,2,3,4,6,7,1]=>000101 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[6,3,4,5,2,7,1]=>[5,2,3,4,7,1,6]=>000101 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7]=>[5,3,4,6,1,2,7]=>000110 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[5,4,3,6,2,7,1]=>[7,6,4,5,3,2,1]=>[5,3,4,6,2,7,1]=>000111 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[5,4,3,6,7,2,1]=>[2,7,4,5,3,6,1]=>[5,3,4,6,7,1,2]=>000101 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[5,4,3,7,6,2,1]=>[2,6,4,5,3,7,1]=>[5,3,4,7,1,2,6]=>000101 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7]=>[5,4,6,1,2,3,7]=>000110 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[5,4,6,3,2,7,1]=>[7,3,6,5,4,2,1]=>[5,4,6,2,3,7,1]=>000111 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1]=>[5,4,6,3,7,1,2]=>000111 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1]=>[5,4,6,7,1,2,3]=>000101 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[5,4,7,6,3,2,1]=>[2,3,6,5,4,7,1]=>[5,4,7,1,2,3,6]=>000101 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7]=>[5,6,1,2,3,4,7]=>000010 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[5,6,4,3,2,7,1]=>[7,3,4,6,5,2,1]=>[5,6,2,3,4,7,1]=>000011 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[5,6,4,3,7,2,1]=>[2,7,4,6,5,3,1]=>[5,6,3,4,7,1,2]=>000011 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[5,6,4,7,3,2,1]=>[2,3,7,6,5,4,1]=>[5,6,4,7,1,2,3]=>000011 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1]=>[5,6,7,1,2,3,4]=>000001 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1]=>[5,7,1,2,3,4,6]=>000001 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>000010 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[7,3,4,5,6,2,1]=>[6,2,3,4,5,7,1]=>000011 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[6,5,4,3,7,2,1]=>[2,7,4,5,6,3,1]=>[6,3,4,5,7,1,2]=>000011 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[6,5,4,7,3,2,1]=>[2,3,7,5,6,4,1]=>[6,4,5,7,1,2,3]=>000011 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[6,5,7,4,3,2,1]=>[2,3,4,7,6,5,1]=>[6,5,7,1,2,3,4]=>000011 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1]=>[6,7,1,2,3,4,5]=>000001 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>0000001 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>0000010 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>0000001 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,6,7]=>0000001 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>0000100 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>0000101 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,6,7,5,8]=>0000010 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,6,7,8,5]=>0000001 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,6,8,5,7]=>0000001 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,5,6,8]=>0000010 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,7,6,8,5]=>0000011 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,8,5,6]=>0000001 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,5,6,7]=>0000001 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>0001000 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>0001001 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>0001010 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,7,8,6]=>0001001 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,6,7]=>0001001 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]=>[1,2,3,5,6,4,7,8]=>0000100 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[1,2,3,5,6,4,8,7]=>0000101 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]=>[1,2,3,5,6,7,4,8]=>0000010 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[1,2,3,5,6,7,8,4]=>0000001 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,7,4]=>[1,2,3,7,5,6,8,4]=>[1,2,3,5,6,8,4,7]=>0000001 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,5,7,6,4,8]=>[1,2,3,6,5,7,4,8]=>[1,2,3,5,7,4,6,8]=>0000010 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4]=>[1,2,3,5,7,6,8,4]=>0000011 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]=>[1,2,3,5,7,8,4,6]=>0000001 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4]=>[1,2,3,5,8,4,6,7]=>0000001 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,3,6,5,4,7,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,4,5,7,8]=>0000100 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,4,5,8,7]=>0000101 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]=>[1,2,3,6,5,7,4,8]=>0000110 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4]=>[1,2,3,6,5,7,8,4]=>0000101 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>[1,2,3,7,6,5,8,4]=>[1,2,3,6,5,8,4,7]=>0000101 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,6,7,5,4,8]=>[1,2,3,5,7,6,4,8]=>[1,2,3,6,7,4,5,8]=>0000010 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,6,7,5,8,4]=>0000011 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4]=>[1,2,3,6,7,8,4,5]=>0000001 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]=>[1,2,3,6,8,4,5,7]=>0000001 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,4,5,6,8]=>0000010 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,7,5,4]=>[1,2,3,7,5,6,8,4]=>0000011 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]=>[1,2,3,7,6,8,4,5]=>0000011 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4]=>[1,2,3,7,8,4,5,6]=>0000001 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,4,5,6,7]=>0000001 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>0010000 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>0010001 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>0010010 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]=>[1,2,4,3,5,7,8,6]=>0010001 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,4,3,5,8,7,6]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,6,7]=>0010001 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>0010100 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>0010101 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[1,2,4,3,6,7,5,8]=>0010010 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,6,7,5]=>[1,2,4,3,6,7,8,5]=>0010001 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,6,8,5,7]=>0010001 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,4,3,7,6,5,8]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,5,6,8]=>0010010 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,7,6,8,5]=>0010011 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,3,7,8,6,5]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,8,5,6]=>0010001 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,5,6,7]=>0010001 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,2,4,5,3,7,6,8]=>[1,2,5,4,3,7,6,8]=>[1,2,4,5,3,7,6,8]=>0001010 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[1,2,4,5,3,7,8,6]=>0001001 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,7,6]=>[1,2,5,4,3,7,8,6]=>[1,2,4,5,3,8,6,7]=>0001001 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>[1,2,4,5,6,3,7,8]=>0000100 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,3,8]=>[1,2,7,4,5,6,3,8]=>[1,2,4,5,6,7,3,8]=>0000010 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]=>[1,2,4,5,6,7,8,3]=>0000001 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,8,7,3]=>[1,2,7,4,5,6,8,3]=>[1,2,4,5,6,8,3,7]=>0000001 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,7,8,6,3]=>[1,2,6,4,5,8,7,3]=>[1,2,4,5,7,8,3,6]=>0000001 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,8,7,6,3]=>[1,2,6,4,5,7,8,3]=>[1,2,4,5,8,3,6,7]=>0000001 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,2,4,6,5,3,7,8]=>[1,2,5,4,6,3,7,8]=>[1,2,4,6,3,5,7,8]=>0000100 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,4,6,5,3,8,7]=>[1,2,5,4,6,3,8,7]=>[1,2,4,6,3,5,8,7]=>0000101 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,4,6,5,8,7,3]=>[1,2,7,4,6,5,8,3]=>[1,2,4,6,5,8,3,7]=>0000101 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,2,4,6,7,5,3,8]=>[1,2,5,4,7,6,3,8]=>[1,2,4,6,7,3,5,8]=>0000010 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,6,7,8,5,3]=>[1,2,5,4,8,6,7,3]=>[1,2,4,6,7,8,3,5]=>0000001 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,2,4,6,8,7,5,3]=>[1,2,5,4,7,6,8,3]=>[1,2,4,6,8,3,5,7]=>0000001 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,4,7,6,5,3,8]=>[1,2,5,4,6,7,3,8]=>[1,2,4,7,3,5,6,8]=>0000010 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,4,7,6,5,8,3]=>[1,2,8,4,6,7,5,3]=>[1,2,4,7,5,6,8,3]=>0000011 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,4,7,6,8,5,3]=>[1,2,5,4,8,7,6,3]=>[1,2,4,7,6,8,3,5]=>0000011 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,4,7,8,6,5,3]=>[1,2,5,4,6,8,7,3]=>[1,2,4,7,8,3,5,6]=>0000001 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,7,6,5,3]=>[1,2,5,4,6,7,8,3]=>[1,2,4,8,3,5,6,7]=>0000001 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8]=>[1,2,4,5,3,6,7,8]=>[1,2,5,3,4,6,7,8]=>0001000 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,4,3,6,8,7]=>[1,2,4,5,3,6,8,7]=>[1,2,5,3,4,6,8,7]=>0001001 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,5,4,3,7,6,8]=>[1,2,4,5,3,7,6,8]=>[1,2,5,3,4,7,6,8]=>0001010 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]=>[1,2,4,5,3,8,7,6]=>[1,2,5,3,4,7,8,6]=>0001001 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,5,4,3,8,7,6]=>[1,2,4,5,3,7,8,6]=>[1,2,5,3,4,8,6,7]=>0001001 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,5,4,6,7,3,8]=>[1,2,7,5,4,6,3,8]=>[1,2,5,4,6,7,3,8]=>0001010 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,3]=>[1,2,8,5,4,6,7,3]=>[1,2,5,4,6,7,8,3]=>0001001 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,5,4,7,6,8,3]=>[1,2,8,5,4,7,6,3]=>[1,2,5,4,7,6,8,3]=>0001011 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,5,4,7,8,6,3]=>[1,2,6,5,4,8,7,3]=>[1,2,5,4,7,8,3,6]=>0001001 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,4,8,7,6,3]=>[1,2,6,5,4,7,8,3]=>[1,2,5,4,8,3,6,7]=>0001001 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,5,6,4,3,7,8]=>[1,2,4,6,5,3,7,8]=>[1,2,5,6,3,4,7,8]=>0000100 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,2,5,6,4,3,8,7]=>[1,2,4,6,5,3,8,7]=>[1,2,5,6,3,4,8,7]=>0000101 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,2,5,6,4,7,3,8]=>[1,2,7,6,5,4,3,8]=>[1,2,5,6,4,7,3,8]=>0000110 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,5,6,4,7,8,3]=>[1,2,8,6,5,4,7,3]=>[1,2,5,6,4,7,8,3]=>0000101 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,5,6,7,4,8,3]=>[1,2,8,7,5,6,4,3]=>[1,2,5,6,7,4,8,3]=>0000011 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,5,6,7,8,4,3]=>[1,2,4,8,5,6,7,3]=>[1,2,5,6,7,8,3,4]=>0000001 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,5,6,8,7,4,3]=>[1,2,4,7,5,6,8,3]=>[1,2,5,6,8,3,4,7]=>0000001 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,5,7,6,4,3,8]=>[1,2,4,6,5,7,3,8]=>[1,2,5,7,3,4,6,8]=>0000010 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,5,7,6,4,8,3]=>[1,2,8,6,5,7,4,3]=>[1,2,5,7,4,6,8,3]=>0000011 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,5,7,8,6,4,3]=>[1,2,4,6,5,8,7,3]=>[1,2,5,7,8,3,4,6]=>0000001 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,2,5,8,7,6,4,3]=>[1,2,4,6,5,7,8,3]=>[1,2,5,8,3,4,6,7]=>0000001 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]=>[1,2,6,3,4,5,7,8]=>0000100 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,6,5,4,3,8,7]=>[1,2,4,5,6,3,8,7]=>[1,2,6,3,4,5,8,7]=>0000101 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,5,4,7,8,3]=>[1,2,8,5,6,4,7,3]=>[1,2,6,4,5,7,8,3]=>0000101 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,6,5,4,8,7,3]=>[1,2,7,5,6,4,8,3]=>[1,2,6,4,5,8,3,7]=>0000101 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,6,5,8,7,4,3]=>[1,2,4,7,6,5,8,3]=>[1,2,6,5,8,3,4,7]=>0000101 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,2,6,7,5,4,3,8]=>[1,2,4,5,7,6,3,8]=>[1,2,6,7,3,4,5,8]=>0000010 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,6,7,5,4,8,3]=>[1,2,8,5,7,6,4,3]=>[1,2,6,7,4,5,8,3]=>0000011 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,2,6,7,5,8,4,3]=>[1,2,4,8,7,6,5,3]=>[1,2,6,7,5,8,3,4]=>0000011 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,6,7,8,5,4,3]=>[1,2,4,5,8,6,7,3]=>[1,2,6,7,8,3,4,5]=>0000001 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,7,6,5,4,3,8]=>[1,2,4,5,6,7,3,8]=>[1,2,7,3,4,5,6,8]=>0000010 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,7,6,5,4,8,3]=>[1,2,8,5,6,7,4,3]=>[1,2,7,4,5,6,8,3]=>0000011 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,7,6,5,8,4,3]=>[1,2,4,8,6,7,5,3]=>[1,2,7,5,6,8,3,4]=>0000011 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,7,6,8,5,4,3]=>[1,2,4,5,8,7,6,3]=>[1,2,7,6,8,3,4,5]=>0000011 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,7,8,6,5,4,3]=>[1,2,4,5,6,8,7,3]=>[1,2,7,8,3,4,5,6]=>0000001 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,3]=>[1,2,8,3,4,5,6,7]=>0000001 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>0100000 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>0100001 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>0100010 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]=>[1,3,2,4,5,7,8,6]=>0100001 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,8,7,6]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,6,7]=>0100001 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>0100100 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>0100101 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5]=>[1,3,2,4,6,7,8,5]=>0100001 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,6,8,5,7]=>0100001 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,7,6,8,5]=>0100011 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,3,2,4,7,8,6,5]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,7,8,5,6]=>0100001 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,5,6,7]=>0100001 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>0101000 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>0101010 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,7,8,6]=>0101001 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,6,7]=>0101001 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,5,4,7,8]=>[1,3,2,5,6,4,7,8]=>0100100 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7]=>[1,3,2,5,6,4,8,7]=>0100101 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,5,6,7,4,8]=>[1,3,2,7,5,6,4,8]=>[1,3,2,5,6,7,4,8]=>0100010 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,4]=>[1,3,2,8,5,6,7,4]=>[1,3,2,5,6,7,8,4]=>0100001 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,2,5,7,6,4,8]=>[1,3,2,6,5,7,4,8]=>[1,3,2,5,7,4,6,8]=>0100010 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,6,8,4]=>[1,3,2,8,5,7,6,4]=>[1,3,2,5,7,6,8,4]=>0100011 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,2,5,7,8,6,4]=>[1,3,2,6,5,8,7,4]=>[1,3,2,5,7,8,4,6]=>0100001 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,2,5,8,7,6,4]=>[1,3,2,6,5,7,8,4]=>[1,3,2,5,8,4,6,7]=>0100001 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,6,5,4,7,8]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,4,5,7,8]=>0100100 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,6,5,4,8]=>[1,3,2,6,5,7,4,8]=>0100110 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,3,2,6,5,7,8,4]=>[1,3,2,8,6,5,7,4]=>[1,3,2,6,5,7,8,4]=>0100101 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,5,8,7,4]=>[1,3,2,7,6,5,8,4]=>[1,3,2,6,5,8,4,7]=>0100101 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,3,2,6,7,5,4,8]=>[1,3,2,5,7,6,4,8]=>[1,3,2,6,7,4,5,8]=>0100010 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,6,7,5,8,4]=>[1,3,2,8,7,6,5,4]=>[1,3,2,6,7,5,8,4]=>0100011 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,3,2,6,7,8,5,4]=>[1,3,2,5,8,6,7,4]=>[1,3,2,6,7,8,4,5]=>0100001 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,6,8,7,5,4]=>[1,3,2,5,7,6,8,4]=>[1,3,2,6,8,4,5,7]=>0100001 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,6,5,4,8]=>[1,3,2,5,6,7,4,8]=>[1,3,2,7,4,5,6,8]=>0100010 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,7,6,5,8,4]=>[1,3,2,8,6,7,5,4]=>[1,3,2,7,5,6,8,4]=>0100011 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,3,2,7,6,8,5,4]=>[1,3,2,5,8,7,6,4]=>[1,3,2,7,6,8,4,5]=>0100011 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>[1,3,2,5,6,7,8,4]=>[1,3,2,8,4,5,6,7]=>0100001 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>0010000 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>0010001 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>0010010 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[1,3,4,2,5,7,8,6]=>0010001 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,4,2,5,8,7,6]=>[1,4,3,2,5,7,8,6]=>[1,3,4,2,5,8,6,7]=>0010001 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>0010101 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>0010010 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[1,3,4,2,6,7,8,5]=>0010001 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,7,6,8,5]=>0010011 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,4,2,7,8,6,5]=>[1,4,3,2,6,8,7,5]=>[1,3,4,2,7,8,5,6]=>0010001 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>[1,4,3,2,6,7,8,5]=>[1,3,4,2,8,5,6,7]=>0010001 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]=>[1,3,4,5,2,6,7,8]=>0001000 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,8]=>[1,5,3,4,2,7,6,8]=>[1,3,4,5,2,7,6,8]=>0001010 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[1,3,4,5,2,7,8,6]=>0001001 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,7,6]=>[1,5,3,4,2,7,8,6]=>[1,3,4,5,2,8,6,7]=>0001001 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[1,3,4,5,6,2,7,8]=>0000100 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[1,3,4,5,6,7,2,8]=>0000010 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]=>[1,3,4,5,6,7,8,2]=>0000001 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,8,7,2]=>[1,7,3,4,5,6,8,2]=>[1,3,4,5,6,8,2,7]=>0000001 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,5,7,6,2,8]=>[1,6,3,4,5,7,2,8]=>[1,3,4,5,7,2,6,8]=>0000010 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,5,7,6,8,2]=>[1,8,3,4,5,7,6,2]=>[1,3,4,5,7,6,8,2]=>0000011 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,5,7,8,6,2]=>[1,6,3,4,5,8,7,2]=>[1,3,4,5,7,8,2,6]=>0000001 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,7,6,2]=>[1,6,3,4,5,7,8,2]=>[1,3,4,5,8,2,6,7]=>0000001 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,4,6,5,2,7,8]=>[1,5,3,4,6,2,7,8]=>[1,3,4,6,2,5,7,8]=>0000100 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,4,6,5,2,8,7]=>[1,5,3,4,6,2,8,7]=>[1,3,4,6,2,5,8,7]=>0000101 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,4,6,5,7,2,8]=>[1,7,3,4,6,5,2,8]=>[1,3,4,6,5,7,2,8]=>0000110 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,4,6,5,7,8,2]=>[1,8,3,4,6,5,7,2]=>[1,3,4,6,5,7,8,2]=>0000101 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,4,6,5,8,7,2]=>[1,7,3,4,6,5,8,2]=>[1,3,4,6,5,8,2,7]=>0000101 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,4,6,7,5,2,8]=>[1,5,3,4,7,6,2,8]=>[1,3,4,6,7,2,5,8]=>0000010 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,4,6,7,5,8,2]=>[1,8,3,4,7,6,5,2]=>[1,3,4,6,7,5,8,2]=>0000011 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,6,7,8,5,2]=>[1,5,3,4,8,6,7,2]=>[1,3,4,6,7,8,2,5]=>0000001 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,4,6,8,7,5,2]=>[1,5,3,4,7,6,8,2]=>[1,3,4,6,8,2,5,7]=>0000001 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,4,7,6,8,5,2]=>[1,5,3,4,8,7,6,2]=>[1,3,4,7,6,8,2,5]=>0000011 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,7,6,5,2]=>[1,5,3,4,6,7,8,2]=>[1,3,4,8,2,5,6,7]=>0000001 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,5,4,2,6,7,8]=>[1,4,3,5,2,6,7,8]=>[1,3,5,2,4,6,7,8]=>0001000 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,5,4,2,6,8,7]=>[1,4,3,5,2,6,8,7]=>[1,3,5,2,4,6,8,7]=>0001001 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,4,2,7,6,8]=>[1,4,3,5,2,7,6,8]=>[1,3,5,2,4,7,6,8]=>0001010 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,5,4,2,7,8,6]=>[1,4,3,5,2,8,7,6]=>[1,3,5,2,4,7,8,6]=>0001001 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,5,4,2,8,7,6]=>[1,4,3,5,2,7,8,6]=>[1,3,5,2,4,8,6,7]=>0001001 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,3,5,4,6,2,7,8]=>[1,6,3,5,4,2,7,8]=>[1,3,5,4,6,2,7,8]=>0001100 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,3,5,4,6,7,2,8]=>[1,7,3,5,4,6,2,8]=>[1,3,5,4,6,7,2,8]=>0001010 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,5,4,6,7,8,2]=>[1,8,3,5,4,6,7,2]=>[1,3,5,4,6,7,8,2]=>0001001 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,2,8]=>[1,6,3,5,4,7,2,8]=>[1,3,5,4,7,2,6,8]=>0001010 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,4,7,6,8,2]=>[1,8,3,5,4,7,6,2]=>[1,3,5,4,7,6,8,2]=>0001011 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,3,5,4,7,8,6,2]=>[1,6,3,5,4,8,7,2]=>[1,3,5,4,7,8,2,6]=>0001001 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,3,5,4,8,7,6,2]=>[1,6,3,5,4,7,8,2]=>[1,3,5,4,8,2,6,7]=>0001001 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,3,5,6,4,2,7,8]=>[1,4,3,6,5,2,7,8]=>[1,3,5,6,2,4,7,8]=>0000100 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,5,6,4,7,2,8]=>[1,7,3,6,5,4,2,8]=>[1,3,5,6,4,7,2,8]=>0000110 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,3,5,6,4,7,8,2]=>[1,8,3,6,5,4,7,2]=>[1,3,5,6,4,7,8,2]=>0000101 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,5,6,4,8,7,2]=>[1,7,3,6,5,4,8,2]=>[1,3,5,6,4,8,2,7]=>0000101 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,5,6,7,4,2,8]=>[1,4,3,7,5,6,2,8]=>[1,3,5,6,7,2,4,8]=>0000010 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,3,5,6,7,4,8,2]=>[1,8,3,7,5,6,4,2]=>[1,3,5,6,7,4,8,2]=>0000011 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,5,6,7,8,4,2]=>[1,4,3,8,5,6,7,2]=>[1,3,5,6,7,8,2,4]=>0000001 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,3,5,7,6,4,2,8]=>[1,4,3,6,5,7,2,8]=>[1,3,5,7,2,4,6,8]=>0000010 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,3,5,7,6,4,8,2]=>[1,8,3,6,5,7,4,2]=>[1,3,5,7,4,6,8,2]=>0000011 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,3,5,7,6,8,4,2]=>[1,4,3,8,5,7,6,2]=>[1,3,5,7,6,8,2,4]=>0000011 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,5,7,8,6,4,2]=>[1,4,3,6,5,8,7,2]=>[1,3,5,7,8,2,4,6]=>0000001 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,3,5,8,7,6,4,2]=>[1,4,3,6,5,7,8,2]=>[1,3,5,8,2,4,6,7]=>0000001 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,3,6,5,4,2,7,8]=>[1,4,3,5,6,2,7,8]=>[1,3,6,2,4,5,7,8]=>0000100 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,5,4,8,7,2]=>[1,7,3,5,6,4,8,2]=>[1,3,6,4,5,8,2,7]=>0000101 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,3,6,5,7,4,2,8]=>[1,4,3,7,6,5,2,8]=>[1,3,6,5,7,2,4,8]=>0000110 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,6,5,7,4,8,2]=>[1,8,3,7,6,5,4,2]=>[1,3,6,5,7,4,8,2]=>0000111 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,6,5,7,8,4,2]=>[1,4,3,8,6,5,7,2]=>[1,3,6,5,7,8,2,4]=>0000101 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,6,7,5,8,4,2]=>[1,4,3,8,7,6,5,2]=>[1,3,6,7,5,8,2,4]=>0000011 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,6,7,8,5,4,2]=>[1,4,3,5,8,6,7,2]=>[1,3,6,7,8,2,4,5]=>0000001 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,7,6,5,4,2,8]=>[1,4,3,5,6,7,2,8]=>[1,3,7,2,4,5,6,8]=>0000010 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,3,7,6,5,8,4,2]=>[1,4,3,8,6,7,5,2]=>[1,3,7,5,6,8,2,4]=>0000011 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,7,8,6,5,4,2]=>[1,4,3,5,6,8,7,2]=>[1,3,7,8,2,4,5,6]=>0000001 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,2]=>[1,3,8,2,4,5,6,7]=>0000001 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>0010000 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,4,3,2,5,6,8,7]=>[1,3,4,2,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>0010001 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,3,2,5,7,6,8]=>[1,3,4,2,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>0010010 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,4,3,2,5,7,8,6]=>[1,3,4,2,5,8,7,6]=>[1,4,2,3,5,7,8,6]=>0010001 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,3,2,5,8,7,6]=>[1,3,4,2,5,7,8,6]=>[1,4,2,3,5,8,6,7]=>0010001 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,4,3,2,6,5,8,7]=>[1,3,4,2,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>0010101 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,5,8]=>[1,3,4,2,7,6,5,8]=>[1,4,2,3,6,7,5,8]=>0010010 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]=>[1,3,4,2,8,6,7,5]=>[1,4,2,3,6,7,8,5]=>0010001 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>[1,4,2,3,7,5,6,8]=>0010010 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,4,3,2,7,6,8,5]=>[1,3,4,2,8,7,6,5]=>[1,4,2,3,7,6,8,5]=>0010011 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,4,3,2,7,8,6,5]=>[1,3,4,2,6,8,7,5]=>[1,4,2,3,7,8,5,6]=>0010001 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,6,7,8,5]=>[1,4,2,3,8,5,6,7]=>0010001 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,3,5,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[1,4,3,5,2,7,6,8]=>0011010 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,4,3,5,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[1,4,3,5,2,7,8,6]=>0011001 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,3,5,2,8,7,6]=>[1,5,4,3,2,7,8,6]=>[1,4,3,5,2,8,6,7]=>0011001 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,3,5,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[1,4,3,5,6,2,7,8]=>0010100 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[1,4,3,5,6,7,8,2]=>0010001 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,3,5,7,8,6,2]=>[1,6,4,3,5,8,7,2]=>[1,4,3,5,7,8,2,6]=>0010001 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]=>[1,5,4,3,6,2,7,8]=>[1,4,3,6,2,5,7,8]=>0010100 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,3,6,5,7,2,8]=>[1,7,4,3,6,5,2,8]=>[1,4,3,6,5,7,2,8]=>0010110 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,3,6,5,7,8,2]=>[1,8,4,3,6,5,7,2]=>[1,4,3,6,5,7,8,2]=>0010101 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>[1,7,4,3,6,5,8,2]=>[1,4,3,6,5,8,2,7]=>0010101 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,4,3,6,7,5,8,2]=>[1,8,4,3,7,6,5,2]=>[1,4,3,6,7,5,8,2]=>0010011 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,3,6,8,7,5,2]=>[1,5,4,3,7,6,8,2]=>[1,4,3,6,8,2,5,7]=>0010001 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,3,7,6,8,5,2]=>[1,5,4,3,8,7,6,2]=>[1,4,3,7,6,8,2,5]=>0010011 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,3,7,8,6,5,2]=>[1,5,4,3,6,8,7,2]=>[1,4,3,7,8,2,5,6]=>0010001 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>[1,5,4,3,6,7,8,2]=>[1,4,3,8,2,5,6,7]=>0010001 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,4,5,3,2,6,7,8]=>[1,3,5,4,2,6,7,8]=>[1,4,5,2,3,6,7,8]=>0001000 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,4,5,3,2,7,6,8]=>[1,3,5,4,2,7,6,8]=>[1,4,5,2,3,7,6,8]=>0001010 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,4,5,3,2,7,8,6]=>[1,3,5,4,2,8,7,6]=>[1,4,5,2,3,7,8,6]=>0001001 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,4,5,3,2,8,7,6]=>[1,3,5,4,2,7,8,6]=>[1,4,5,2,3,8,6,7]=>0001001 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,4,5,3,6,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,4,5,3,6,2,7,8]=>0001100 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,4,5,3,6,7,2,8]=>[1,7,5,4,3,6,2,8]=>[1,4,5,3,6,7,2,8]=>0001010 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,4,5,3,6,7,8,2]=>[1,8,5,4,3,6,7,2]=>[1,4,5,3,6,7,8,2]=>0001001 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,4,5,3,7,6,2,8]=>[1,6,5,4,3,7,2,8]=>[1,4,5,3,7,2,6,8]=>0001010 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,4,5,3,7,8,6,2]=>[1,6,5,4,3,8,7,2]=>[1,4,5,3,7,8,2,6]=>0001001 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,4,5,3,8,7,6,2]=>[1,6,5,4,3,7,8,2]=>[1,4,5,3,8,2,6,7]=>0001001 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,4,5,6,3,2,8,7]=>[1,3,6,4,5,2,8,7]=>[1,4,5,6,2,3,8,7]=>0000101 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,4,5,6,3,7,2,8]=>[1,7,6,4,5,3,2,8]=>[1,4,5,6,3,7,2,8]=>0000110 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,4,5,6,7,3,2,8]=>[1,3,7,4,5,6,2,8]=>[1,4,5,6,7,2,3,8]=>0000010 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,7,3,8,2]=>[1,8,7,4,5,6,3,2]=>[1,4,5,6,7,3,8,2]=>0000011 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,3,2]=>[1,3,8,4,5,6,7,2]=>[1,4,5,6,7,8,2,3]=>0000001 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,4,5,7,6,3,2,8]=>[1,3,6,4,5,7,2,8]=>[1,4,5,7,2,3,6,8]=>0000010 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,4,5,7,6,3,8,2]=>[1,8,6,4,5,7,3,2]=>[1,4,5,7,3,6,8,2]=>0000011 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,4,5,7,8,6,3,2]=>[1,3,6,4,5,8,7,2]=>[1,4,5,7,8,2,3,6]=>0000001 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,4,5,8,7,6,3,2]=>[1,3,6,4,5,7,8,2]=>[1,4,5,8,2,3,6,7]=>0000001 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,4,6,5,3,2,7,8]=>[1,3,5,4,6,2,7,8]=>[1,4,6,2,3,5,7,8]=>0000100 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,4,6,5,3,7,8,2]=>[1,8,5,4,6,3,7,2]=>[1,4,6,3,5,7,8,2]=>0000101 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,4,6,5,7,3,2,8]=>[1,3,7,4,6,5,2,8]=>[1,4,6,5,7,2,3,8]=>0000110 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,4,6,7,5,3,2,8]=>[1,3,5,4,7,6,2,8]=>[1,4,6,7,2,3,5,8]=>0000010 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,4,6,7,5,3,8,2]=>[1,8,5,4,7,6,3,2]=>[1,4,6,7,3,5,8,2]=>0000011 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,4,6,8,7,5,3,2]=>[1,3,5,4,7,6,8,2]=>[1,4,6,8,2,3,5,7]=>0000001 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,4,7,6,5,3,2,8]=>[1,3,5,4,6,7,2,8]=>[1,4,7,2,3,5,6,8]=>0000010 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,4,7,6,5,3,8,2]=>[1,8,5,4,6,7,3,2]=>[1,4,7,3,5,6,8,2]=>0000011 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,4,7,6,5,8,3,2]=>[1,3,8,4,6,7,5,2]=>[1,4,7,5,6,8,2,3]=>0000011 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,4,7,6,8,5,3,2]=>[1,3,5,4,8,7,6,2]=>[1,4,7,6,8,2,3,5]=>0000011 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,4,7,8,6,5,3,2]=>[1,3,5,4,6,8,7,2]=>[1,4,7,8,2,3,5,6]=>0000001 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,4,8,7,6,5,3,2]=>[1,3,5,4,6,7,8,2]=>[1,4,8,2,3,5,6,7]=>0000001 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8]=>[1,3,4,5,2,6,7,8]=>[1,5,2,3,4,6,7,8]=>0001000 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,5,4,3,2,6,8,7]=>[1,3,4,5,2,6,8,7]=>[1,5,2,3,4,6,8,7]=>0001001 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,4,3,2,7,6,8]=>[1,3,4,5,2,7,6,8]=>[1,5,2,3,4,7,6,8]=>0001010 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,4,3,2,7,8,6]=>[1,3,4,5,2,8,7,6]=>[1,5,2,3,4,7,8,6]=>0001001 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,4,3,2,8,7,6]=>[1,3,4,5,2,7,8,6]=>[1,5,2,3,4,8,6,7]=>0001001 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,4,3,6,2,7,8]=>[1,6,4,5,3,2,7,8]=>[1,5,3,4,6,2,7,8]=>0001100 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,4,3,6,7,8,2]=>[1,8,4,5,3,6,7,2]=>[1,5,3,4,6,7,8,2]=>0001001 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,4,3,6,8,7,2]=>[1,7,4,5,3,6,8,2]=>[1,5,3,4,6,8,2,7]=>0001001 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,5,4,3,7,8,6,2]=>[1,6,4,5,3,8,7,2]=>[1,5,3,4,7,8,2,6]=>0001001 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,5,4,6,3,2,7,8]=>[1,3,6,5,4,2,7,8]=>[1,5,4,6,2,3,7,8]=>0001100 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>0001110 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,5,4,6,3,7,8,2]=>[1,8,6,5,4,3,7,2]=>[1,5,4,6,3,7,8,2]=>0001101 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,5,4,6,3,8,7,2]=>[1,7,6,5,4,3,8,2]=>[1,5,4,6,3,8,2,7]=>0001101 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,5,4,6,7,3,8,2]=>[1,8,7,5,4,6,3,2]=>[1,5,4,6,7,3,8,2]=>0001011 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,5,4,6,7,8,3,2]=>[1,3,8,5,4,6,7,2]=>[1,5,4,6,7,8,2,3]=>0001001 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,5,4,6,8,7,3,2]=>[1,3,7,5,4,6,8,2]=>[1,5,4,6,8,2,3,7]=>0001001 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,5,4,7,6,3,8,2]=>[1,8,6,5,4,7,3,2]=>[1,5,4,7,3,6,8,2]=>0001011 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,5,4,7,6,8,3,2]=>[1,3,8,5,4,7,6,2]=>[1,5,4,7,6,8,2,3]=>0001011 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,5,6,4,3,2,7,8]=>[1,3,4,6,5,2,7,8]=>[1,5,6,2,3,4,7,8]=>0000100 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,5,6,4,3,2,8,7]=>[1,3,4,6,5,2,8,7]=>[1,5,6,2,3,4,8,7]=>0000101 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,5,6,4,3,7,2,8]=>[1,7,4,6,5,3,2,8]=>[1,5,6,3,4,7,2,8]=>0000110 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,5,6,4,3,8,7,2]=>[1,7,4,6,5,3,8,2]=>[1,5,6,3,4,8,2,7]=>0000101 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,5,6,4,7,3,2,8]=>[1,3,7,6,5,4,2,8]=>[1,5,6,4,7,2,3,8]=>0000110 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2]=>[1,5,6,4,7,3,8,2]=>0000111 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,5,6,7,4,3,8,2]=>[1,8,4,7,5,6,3,2]=>[1,5,6,7,3,4,8,2]=>0000011 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,5,6,7,4,8,3,2]=>[1,3,8,7,5,6,4,2]=>[1,5,6,7,4,8,2,3]=>0000011 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,8,4,3,2]=>[1,3,4,8,5,6,7,2]=>[1,5,6,7,8,2,3,4]=>0000001 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,5,6,8,7,4,3,2]=>[1,3,4,7,5,6,8,2]=>[1,5,6,8,2,3,4,7]=>0000001 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,5,7,6,4,3,2,8]=>[1,3,4,6,5,7,2,8]=>[1,5,7,2,3,4,6,8]=>0000010 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,5,7,6,4,3,8,2]=>[1,8,4,6,5,7,3,2]=>[1,5,7,3,4,6,8,2]=>0000011 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,5,7,8,6,4,3,2]=>[1,3,4,6,5,8,7,2]=>[1,5,7,8,2,3,4,6]=>0000001 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,5,8,7,6,4,3,2]=>[1,3,4,6,5,7,8,2]=>[1,5,8,2,3,4,6,7]=>0000001 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,5,4,3,2,7,8]=>[1,3,4,5,6,2,7,8]=>[1,6,2,3,4,5,7,8]=>0000100 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,6,5,4,3,2,8,7]=>[1,3,4,5,6,2,8,7]=>[1,6,2,3,4,5,8,7]=>0000101 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]=>[1,7,4,5,6,3,8,2]=>[1,6,3,4,5,8,2,7]=>0000101 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,6,5,7,4,3,8,2]=>[1,8,4,7,6,5,3,2]=>[1,6,5,7,3,4,8,2]=>0000111 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,6,5,7,8,4,3,2]=>[1,3,4,8,6,5,7,2]=>[1,6,5,7,8,2,3,4]=>0000101 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,6,5,8,7,4,3,2]=>[1,3,4,7,6,5,8,2]=>[1,6,5,8,2,3,4,7]=>0000101 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,6,7,5,4,3,2,8]=>[1,3,4,5,7,6,2,8]=>[1,6,7,2,3,4,5,8]=>0000010 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,6,7,5,4,3,8,2]=>[1,8,4,5,7,6,3,2]=>[1,6,7,3,4,5,8,2]=>0000011 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,6,7,5,8,4,3,2]=>[1,3,4,8,7,6,5,2]=>[1,6,7,5,8,2,3,4]=>0000011 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,6,7,8,5,4,3,2]=>[1,3,4,5,8,6,7,2]=>[1,6,7,8,2,3,4,5]=>0000001 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,6,8,7,5,4,3,2]=>[1,3,4,5,7,6,8,2]=>[1,6,8,2,3,4,5,7]=>0000001 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,6,5,4,3,2,8]=>[1,3,4,5,6,7,2,8]=>[1,7,2,3,4,5,6,8]=>0000010 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,6,5,4,3,8,2]=>[1,8,4,5,6,7,3,2]=>[1,7,3,4,5,6,8,2]=>0000011 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,7,6,5,4,8,3,2]=>[1,3,8,5,6,7,4,2]=>[1,7,4,5,6,8,2,3]=>0000011 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,7,6,8,5,4,3,2]=>[1,3,4,5,8,7,6,2]=>[1,7,6,8,2,3,4,5]=>0000011 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,7,8,6,5,4,3,2]=>[1,3,4,5,6,8,7,2]=>[1,7,8,2,3,4,5,6]=>0000001 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,2]=>[1,8,2,3,4,5,6,7]=>0000001 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>1000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>1000001 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>1000010 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,7,8,6]=>1000001 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,6,7]=>1000001 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>1000100 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>1000101 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,6,7,5]=>[2,1,3,4,6,7,8,5]=>1000001 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,4,7,6,8,5]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,7,6,8,5]=>1000011 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,4,7,8,6,5]=>[2,1,3,4,6,8,7,5]=>[2,1,3,4,7,8,5,6]=>1000001 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,5,6,7]=>1000001 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>1001000 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>1001001 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,7,6]=>[2,1,3,5,4,7,8,6]=>1001001 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,3,5,6,4,8,7]=>[2,1,3,6,5,4,8,7]=>[2,1,3,5,6,4,8,7]=>1000101 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,4]=>[2,1,3,8,5,6,7,4]=>[2,1,3,5,6,7,8,4]=>1000001 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,3,5,6,8,7,4]=>[2,1,3,7,5,6,8,4]=>[2,1,3,5,6,8,4,7]=>1000001 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,3,5,7,6,8,4]=>[2,1,3,8,5,7,6,4]=>[2,1,3,5,7,6,8,4]=>1000011 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,3,5,8,7,6,4]=>[2,1,3,6,5,7,8,4]=>[2,1,3,5,8,4,6,7]=>1000001 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,3,6,5,4,7,8]=>[2,1,3,5,6,4,7,8]=>[2,1,3,6,4,5,7,8]=>1000100 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,6,5,4,8,7]=>[2,1,3,5,6,4,8,7]=>[2,1,3,6,4,5,8,7]=>1000101 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,6,5,8,7,4]=>[2,1,3,7,6,5,8,4]=>[2,1,3,6,5,8,4,7]=>1000101 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,6,7,8,5,4]=>[2,1,3,5,8,6,7,4]=>[2,1,3,6,7,8,4,5]=>1000001 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,3,7,8,6,5,4]=>[2,1,3,5,6,8,7,4]=>[2,1,3,7,8,4,5,6]=>1000001 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]=>[2,1,3,5,6,7,8,4]=>[2,1,3,8,4,5,6,7]=>1000001 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>1010000 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>1010001 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,7,8,6]=>1010001 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,6,7]=>1010001 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>1010100 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>1010101 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,3,6,7,5,8]=>[2,1,4,3,7,6,5,8]=>[2,1,4,3,6,7,5,8]=>1010010 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>[2,1,4,3,6,7,8,5]=>1010001 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,6,8,5,7]=>1010001 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,7,6,8,5]=>1010011 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,7,8,5,6]=>1010001 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,5,6,7]=>1010001 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8]=>[2,1,5,4,3,6,7,8]=>[2,1,4,5,3,6,7,8]=>1001000 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[2,1,4,5,3,6,8,7]=>1001001 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[2,1,4,5,6,3,8,7]=>1000101 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,3,8]=>[2,1,7,4,5,6,3,8]=>[2,1,4,5,6,7,3,8]=>1000010 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3]=>[2,1,4,5,6,7,8,3]=>1000001 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,6,8,7,3]=>[2,1,7,4,5,6,8,3]=>[2,1,4,5,6,8,3,7]=>1000001 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,7,8,6,3]=>[2,1,6,4,5,8,7,3]=>[2,1,4,5,7,8,3,6]=>1000001 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,7,6,3]=>[2,1,6,4,5,7,8,3]=>[2,1,4,5,8,3,6,7]=>1000001 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,5,3,7,8]=>[2,1,5,4,6,3,7,8]=>[2,1,4,6,3,5,7,8]=>1000100 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>[2,1,5,4,6,3,8,7]=>[2,1,4,6,3,5,8,7]=>1000101 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]=>[2,1,7,4,6,5,8,3]=>[2,1,4,6,5,8,3,7]=>1000101 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[2,1,4,6,7,5,3,8]=>[2,1,5,4,7,6,3,8]=>[2,1,4,6,7,3,5,8]=>1000010 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,4,6,7,5,8,3]=>[2,1,8,4,7,6,5,3]=>[2,1,4,6,7,5,8,3]=>1000011 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,6,7,8,5,3]=>[2,1,5,4,8,6,7,3]=>[2,1,4,6,7,8,3,5]=>1000001 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,6,8,7,5,3]=>[2,1,5,4,7,6,8,3]=>[2,1,4,6,8,3,5,7]=>1000001 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[2,1,4,7,8,6,5,3]=>[2,1,5,4,6,8,7,3]=>[2,1,4,7,8,3,5,6]=>1000001 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]=>[2,1,5,4,6,7,8,3]=>[2,1,4,8,3,5,6,7]=>1000001 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8]=>[2,1,4,5,3,6,7,8]=>[2,1,5,3,4,6,7,8]=>1001000 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,4,3,6,8,7]=>[2,1,4,5,3,6,8,7]=>[2,1,5,3,4,6,8,7]=>1001001 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,5,4,6,3,8,7]=>1001101 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[2,1,5,4,6,7,8,3]=>[2,1,8,5,4,6,7,3]=>[2,1,5,4,6,7,8,3]=>1001001 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]=>[2,1,8,5,4,7,6,3]=>[2,1,5,4,7,6,8,3]=>1001011 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,5,6,4,3,7,8]=>[2,1,4,6,5,3,7,8]=>[2,1,5,6,3,4,7,8]=>1000100 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,5,6,4,3,8,7]=>[2,1,4,6,5,3,8,7]=>[2,1,5,6,3,4,8,7]=>1000101 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,5,6,4,7,8,3]=>[2,1,8,6,5,4,7,3]=>[2,1,5,6,4,7,8,3]=>1000101 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,5,6,4,8,7,3]=>[2,1,7,6,5,4,8,3]=>[2,1,5,6,4,8,3,7]=>1000101 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3]=>[2,1,5,6,7,4,8,3]=>1000011 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,5,6,7,8,4,3]=>[2,1,4,8,5,6,7,3]=>[2,1,5,6,7,8,3,4]=>1000001 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[2,1,5,6,8,7,4,3]=>[2,1,4,7,5,6,8,3]=>[2,1,5,6,8,3,4,7]=>1000001 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,5,7,6,4,8,3]=>[2,1,8,6,5,7,4,3]=>[2,1,5,7,4,6,8,3]=>1000011 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,5,7,8,6,4,3]=>[2,1,4,6,5,8,7,3]=>[2,1,5,7,8,3,4,6]=>1000001 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,5,8,7,6,4,3]=>[2,1,4,6,5,7,8,3]=>[2,1,5,8,3,4,6,7]=>1000001 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>[2,1,4,5,6,3,8,7]=>[2,1,6,3,4,5,8,7]=>1000101 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,6,5,4,7,8,3]=>[2,1,8,5,6,4,7,3]=>[2,1,6,4,5,7,8,3]=>1000101 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[2,1,6,5,4,8,7,3]=>[2,1,7,5,6,4,8,3]=>[2,1,6,4,5,8,3,7]=>1000101 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,5,7,4,8,3]=>[2,1,8,7,6,5,4,3]=>[2,1,6,5,7,4,8,3]=>1000111 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,6,5,7,8,4,3]=>[2,1,4,8,6,5,7,3]=>[2,1,6,5,7,8,3,4]=>1000101 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[2,1,6,7,5,8,4,3]=>[2,1,4,8,7,6,5,3]=>[2,1,6,7,5,8,3,4]=>1000011 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,6,7,8,5,4,3]=>[2,1,4,5,8,6,7,3]=>[2,1,6,7,8,3,4,5]=>1000001 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[2,1,6,8,7,5,4,3]=>[2,1,4,5,7,6,8,3]=>[2,1,6,8,3,4,5,7]=>1000001 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[2,1,7,6,5,4,3,8]=>[2,1,4,5,6,7,3,8]=>[2,1,7,3,4,5,6,8]=>1000010 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[2,1,7,6,5,8,4,3]=>[2,1,4,8,6,7,5,3]=>[2,1,7,5,6,8,3,4]=>1000011 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,7,6,8,5,4,3]=>[2,1,4,5,8,7,6,3]=>[2,1,7,6,8,3,4,5]=>1000011 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,7,8,6,5,4,3]=>[2,1,4,5,6,8,7,3]=>[2,1,7,8,3,4,5,6]=>1000001 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,3]=>[2,1,8,3,4,5,6,7]=>1000001 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>0100000 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[2,3,1,4,5,6,8,7]=>0100001 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,7,6,8]=>[3,2,1,4,5,7,6,8]=>[2,3,1,4,5,7,6,8]=>0100010 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[2,3,1,4,5,7,8,6]=>0100001 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,5,8,7,6]=>[3,2,1,4,5,7,8,6]=>[2,3,1,4,5,8,6,7]=>0100001 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,1,4,6,5,8,7]=>[3,2,1,4,6,5,8,7]=>[2,3,1,4,6,5,8,7]=>0100101 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>[2,3,1,4,6,7,5,8]=>0100010 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[2,3,1,4,6,7,8,5]=>0100001 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,7,6,5]=>[2,3,1,4,7,6,8,5]=>0100011 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,3,1,4,7,8,6,5]=>[3,2,1,4,6,8,7,5]=>[2,3,1,4,7,8,5,6]=>0100001 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>[3,2,1,4,6,7,8,5]=>[2,3,1,4,8,5,6,7]=>0100001 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[2,3,1,5,4,6,7,8]=>0101000 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]=>0101010 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[2,3,1,5,6,4,7,8]=>0100100 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[2,3,1,5,6,7,4,8]=>0100010 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[2,3,1,5,6,7,8,4]=>0100001 [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,1,5,6,8,7,4]=>[3,2,1,7,5,6,8,4]=>[2,3,1,5,6,8,4,7]=>0100001 [1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,3,1,5,7,6,8,4]=>[3,2,1,8,5,7,6,4]=>[2,3,1,5,7,6,8,4]=>0100011 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,1,5,7,8,6,4]=>[3,2,1,6,5,8,7,4]=>[2,3,1,5,7,8,4,6]=>0100001 [1,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,3,1,6,5,4,7,8]=>[3,2,1,5,6,4,7,8]=>[2,3,1,6,4,5,7,8]=>0100100 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,5,7,4,8]=>[3,2,1,7,6,5,4,8]=>[2,3,1,6,5,7,4,8]=>0100110 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,3,1,6,7,5,8,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,6,7,5,8,4]=>0100011 [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,6,7,8,5,4]=>[3,2,1,5,8,6,7,4]=>[2,3,1,6,7,8,4,5]=>0100001 [1,1,0,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,3,1,6,8,7,5,4]=>[3,2,1,5,7,6,8,4]=>[2,3,1,6,8,4,5,7]=>0100001 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,7,6,8,5,4]=>[3,2,1,5,8,7,6,4]=>[2,3,1,7,6,8,4,5]=>0100011 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,1,7,8,6,5,4]=>[3,2,1,5,6,8,7,4]=>[2,3,1,7,8,4,5,6]=>0100001 [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,7,6,5,4]=>[3,2,1,5,6,7,8,4]=>[2,3,1,8,4,5,6,7]=>0100001 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>0010000 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>[4,2,3,1,5,6,8,7]=>[2,3,4,1,5,6,8,7]=>0010001 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[2,3,4,1,5,7,6,8]=>0010010 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[2,3,4,1,5,7,8,6]=>0010001 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,7,6]=>[4,2,3,1,5,7,8,6]=>[2,3,4,1,5,8,6,7]=>0010001 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[2,3,4,1,6,5,7,8]=>0010100 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[2,3,4,1,6,5,8,7]=>0010101 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[2,3,4,1,6,7,5,8]=>0010010 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[2,3,4,1,6,7,8,5]=>0010001 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]=>[4,2,3,1,7,6,8,5]=>[2,3,4,1,6,8,5,7]=>0010001 [1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,4,1,7,6,5,8]=>[4,2,3,1,6,7,5,8]=>[2,3,4,1,7,5,6,8]=>0010010 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,7,6,5]=>[2,3,4,1,7,6,8,5]=>0010011 [1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,4,1,7,8,6,5]=>[4,2,3,1,6,8,7,5]=>[2,3,4,1,7,8,5,6]=>0010001 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>[4,2,3,1,6,7,8,5]=>[2,3,4,1,8,5,6,7]=>0010001 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>0001000 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,8,7]=>[5,2,3,4,1,6,8,7]=>[2,3,4,5,1,6,8,7]=>0001001 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,8]=>[5,2,3,4,1,7,6,8]=>[2,3,4,5,1,7,6,8]=>0001010 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>[2,3,4,5,1,7,8,6]=>0001001 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]=>[5,2,3,4,1,7,8,6]=>[2,3,4,5,1,8,6,7]=>0001001 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[2,3,4,5,6,1,7,8]=>0000100 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[6,2,3,4,5,1,8,7]=>[2,3,4,5,6,1,8,7]=>0000101 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[2,3,4,5,6,7,1,8]=>0000010 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,7,8,1]=>0000001 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>[7,2,3,4,5,6,8,1]=>[2,3,4,5,6,8,1,7]=>0000001 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,7,6,1,8]=>[6,2,3,4,5,7,1,8]=>[2,3,4,5,7,1,6,8]=>0000010 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]=>[8,2,3,4,5,7,6,1]=>[2,3,4,5,7,6,8,1]=>0000011 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,7,8,6,1]=>[6,2,3,4,5,8,7,1]=>[2,3,4,5,7,8,1,6]=>0000001 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,7,6,1]=>[6,2,3,4,5,7,8,1]=>[2,3,4,5,8,1,6,7]=>0000001 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,6,5,1,7,8]=>[5,2,3,4,6,1,7,8]=>[2,3,4,6,1,5,7,8]=>0000100 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,5,7,1,8]=>[7,2,3,4,6,5,1,8]=>[2,3,4,6,5,7,1,8]=>0000110 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>[8,2,3,4,6,5,7,1]=>[2,3,4,6,5,7,8,1]=>0000101 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,6,5,8,7,1]=>[7,2,3,4,6,5,8,1]=>[2,3,4,6,5,8,1,7]=>0000101 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,4,6,7,5,1,8]=>[5,2,3,4,7,6,1,8]=>[2,3,4,6,7,1,5,8]=>0000010 [1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,6,7,5,8,1]=>[8,2,3,4,7,6,5,1]=>[2,3,4,6,7,5,8,1]=>0000011 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,6,7,8,5,1]=>[5,2,3,4,8,6,7,1]=>[2,3,4,6,7,8,1,5]=>0000001 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,6,8,7,5,1]=>[5,2,3,4,7,6,8,1]=>[2,3,4,6,8,1,5,7]=>0000001 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]=>[5,2,3,4,6,7,1,8]=>[2,3,4,7,1,5,6,8]=>0000010 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,6,5,8,1]=>[8,2,3,4,6,7,5,1]=>[2,3,4,7,5,6,8,1]=>0000011 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,7,6,8,5,1]=>[5,2,3,4,8,7,6,1]=>[2,3,4,7,6,8,1,5]=>0000011 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,7,8,6,5,1]=>[5,2,3,4,6,8,7,1]=>[2,3,4,7,8,1,5,6]=>0000001 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,7,6,5,1]=>[5,2,3,4,6,7,8,1]=>[2,3,4,8,1,5,6,7]=>0000001 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]=>[4,2,3,5,1,6,7,8]=>[2,3,5,1,4,6,7,8]=>0001000 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,4,1,7,6,8]=>[4,2,3,5,1,7,6,8]=>[2,3,5,1,4,7,6,8]=>0001010 [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,4,1,8,7,6]=>[4,2,3,5,1,7,8,6]=>[2,3,5,1,4,8,6,7]=>0001001 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,5,4,6,1,7,8]=>[6,2,3,5,4,1,7,8]=>[2,3,5,4,6,1,7,8]=>0001100 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,5,4,6,7,1,8]=>[7,2,3,5,4,6,1,8]=>[2,3,5,4,6,7,1,8]=>0001010 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,1]=>[8,2,3,5,4,6,7,1]=>[2,3,5,4,6,7,8,1]=>0001001 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,4,7,6,8,1]=>[8,2,3,5,4,7,6,1]=>[2,3,5,4,7,6,8,1]=>0001011 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,5,6,4,1,7,8]=>[4,2,3,6,5,1,7,8]=>[2,3,5,6,1,4,7,8]=>0000100 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,5,6,4,1,8,7]=>[4,2,3,6,5,1,8,7]=>[2,3,5,6,1,4,8,7]=>0000101 [1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,3,5,6,4,7,1,8]=>[7,2,3,6,5,4,1,8]=>[2,3,5,6,4,7,1,8]=>0000110 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,5,6,4,7,8,1]=>[8,2,3,6,5,4,7,1]=>[2,3,5,6,4,7,8,1]=>0000101 [1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,3,5,6,7,4,1,8]=>[4,2,3,7,5,6,1,8]=>[2,3,5,6,7,1,4,8]=>0000010 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,5,6,7,4,8,1]=>[8,2,3,7,5,6,4,1]=>[2,3,5,6,7,4,8,1]=>0000011 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,5,6,7,8,4,1]=>[4,2,3,8,5,6,7,1]=>[2,3,5,6,7,8,1,4]=>0000001 [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,5,6,8,7,4,1]=>[4,2,3,7,5,6,8,1]=>[2,3,5,6,8,1,4,7]=>0000001 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,5,7,6,4,8,1]=>[8,2,3,6,5,7,4,1]=>[2,3,5,7,4,6,8,1]=>0000011 [1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,3,5,7,6,8,4,1]=>[4,2,3,8,5,7,6,1]=>[2,3,5,7,6,8,1,4]=>0000011 [1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,3,5,7,8,6,4,1]=>[4,2,3,6,5,8,7,1]=>[2,3,5,7,8,1,4,6]=>0000001 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,6,5,4,1,7,8]=>[4,2,3,5,6,1,7,8]=>[2,3,6,1,4,5,7,8]=>0000100 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,5,4,1,8,7]=>[4,2,3,5,6,1,8,7]=>[2,3,6,1,4,5,8,7]=>0000101 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,1]=>[8,2,3,5,6,4,7,1]=>[2,3,6,4,5,7,8,1]=>0000101 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,6,5,7,8,4,1]=>[4,2,3,8,6,5,7,1]=>[2,3,6,5,7,8,1,4]=>0000101 [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,6,5,8,7,4,1]=>[4,2,3,7,6,5,8,1]=>[2,3,6,5,8,1,4,7]=>0000101 [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,6,7,5,4,1,8]=>[4,2,3,5,7,6,1,8]=>[2,3,6,7,1,4,5,8]=>0000010 [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,6,7,5,4,8,1]=>[8,2,3,5,7,6,4,1]=>[2,3,6,7,4,5,8,1]=>0000011 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,6,7,5,8,4,1]=>[4,2,3,8,7,6,5,1]=>[2,3,6,7,5,8,1,4]=>0000011 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,6,8,7,5,4,1]=>[4,2,3,5,7,6,8,1]=>[2,3,6,8,1,4,5,7]=>0000001 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]=>[4,2,3,5,6,7,1,8]=>[2,3,7,1,4,5,6,8]=>0000010 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>[8,2,3,5,6,7,4,1]=>[2,3,7,4,5,6,8,1]=>0000011 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,7,6,5,8,4,1]=>[4,2,3,8,6,7,5,1]=>[2,3,7,5,6,8,1,4]=>0000011 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,7,8,6,5,4,1]=>[4,2,3,5,6,8,7,1]=>[2,3,7,8,1,4,5,6]=>0000001 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,7,6,5,4,1]=>[4,2,3,5,6,7,8,1]=>[2,3,8,1,4,5,6,7]=>0000001 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>0010000 [1,1,0,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[2,4,3,1,5,7,8,6]=>[3,2,4,1,5,8,7,6]=>[2,4,1,3,5,7,8,6]=>0010001 [1,1,0,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[2,4,3,1,6,5,7,8]=>[3,2,4,1,6,5,7,8]=>[2,4,1,3,6,5,7,8]=>0010100 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>[3,2,4,1,6,5,8,7]=>[2,4,1,3,6,5,8,7]=>0010101 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,3,1,6,7,8,5]=>[3,2,4,1,8,6,7,5]=>[2,4,1,3,6,7,8,5]=>0010001 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>[3,2,4,1,7,6,8,5]=>[2,4,1,3,6,8,5,7]=>0010001 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>[3,2,4,1,8,7,6,5]=>[2,4,1,3,7,6,8,5]=>0010011 [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,3,1,7,8,6,5]=>[3,2,4,1,6,8,7,5]=>[2,4,1,3,7,8,5,6]=>0010001 [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>[3,2,4,1,6,7,8,5]=>[2,4,1,3,8,5,6,7]=>0010001 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[2,4,3,5,1,6,7,8]=>0011000 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,4,3,5,1,6,8,7]=>[5,2,4,3,1,6,8,7]=>[2,4,3,5,1,6,8,7]=>0011001 [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,4,3,5,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[2,4,3,5,1,7,6,8]=>0011010 [1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[2,4,3,5,1,7,8,6]=>[5,2,4,3,1,8,7,6]=>[2,4,3,5,1,7,8,6]=>0011001 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,3,5,1,8,7,6]=>[5,2,4,3,1,7,8,6]=>[2,4,3,5,1,8,6,7]=>0011001 [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,4,3,5,6,1,8,7]=>[6,2,4,3,5,1,8,7]=>[2,4,3,5,6,1,8,7]=>0010101 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]=>[8,2,4,3,5,6,7,1]=>[2,4,3,5,6,7,8,1]=>0010001 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,8,7,1]=>[7,2,4,3,5,6,8,1]=>[2,4,3,5,6,8,1,7]=>0010001 [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,7,6,8,1]=>[8,2,4,3,5,7,6,1]=>[2,4,3,5,7,6,8,1]=>0010011 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,4,3,5,7,8,6,1]=>[6,2,4,3,5,8,7,1]=>[2,4,3,5,7,8,1,6]=>0010001 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,7]=>[5,2,4,3,6,1,8,7]=>[2,4,3,6,1,5,8,7]=>0010101 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,6,5,7,1,8]=>[7,2,4,3,6,5,1,8]=>[2,4,3,6,5,7,1,8]=>0010110 [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,6,5,7,8,1]=>[8,2,4,3,6,5,7,1]=>[2,4,3,6,5,7,8,1]=>0010101 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>[7,2,4,3,6,5,8,1]=>[2,4,3,6,5,8,1,7]=>0010101 [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,4,3,6,7,5,8,1]=>[8,2,4,3,7,6,5,1]=>[2,4,3,6,7,5,8,1]=>0010011 [1,1,0,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[2,4,3,6,8,7,5,1]=>[5,2,4,3,7,6,8,1]=>[2,4,3,6,8,1,5,7]=>0010001 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,7,6,5,8,1]=>[8,2,4,3,6,7,5,1]=>[2,4,3,7,5,6,8,1]=>0010011 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,4,5,3,1,6,7,8]=>[3,2,5,4,1,6,7,8]=>[2,4,5,1,3,6,7,8]=>0001000 [1,1,0,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[2,4,5,3,1,7,6,8]=>[3,2,5,4,1,7,6,8]=>[2,4,5,1,3,7,6,8]=>0001010 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[2,4,5,3,1,7,8,6]=>[3,2,5,4,1,8,7,6]=>[2,4,5,1,3,7,8,6]=>0001001 [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,4,5,3,6,1,8,7]=>[6,2,5,4,3,1,8,7]=>[2,4,5,3,6,1,8,7]=>0001101 [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,4,5,3,6,7,1,8]=>[7,2,5,4,3,6,1,8]=>[2,4,5,3,6,7,1,8]=>0001010 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,4,5,3,6,7,8,1]=>[8,2,5,4,3,6,7,1]=>[2,4,5,3,6,7,8,1]=>0001001 [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,4,5,3,6,8,7,1]=>[7,2,5,4,3,6,8,1]=>[2,4,5,3,6,8,1,7]=>0001001 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,4,5,6,3,1,7,8]=>[3,2,6,4,5,1,7,8]=>[2,4,5,6,1,3,7,8]=>0000100 [1,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[2,4,5,6,3,1,8,7]=>[3,2,6,4,5,1,8,7]=>[2,4,5,6,1,3,8,7]=>0000101 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,4,5,6,3,7,8,1]=>[8,2,6,4,5,3,7,1]=>[2,4,5,6,3,7,8,1]=>0000101 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,4,5,6,3,8,7,1]=>[7,2,6,4,5,3,8,1]=>[2,4,5,6,3,8,1,7]=>0000101 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,4,5,6,7,3,1,8]=>[3,2,7,4,5,6,1,8]=>[2,4,5,6,7,1,3,8]=>0000010 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,4,5,6,7,3,8,1]=>[8,2,7,4,5,6,3,1]=>[2,4,5,6,7,3,8,1]=>0000011 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,4,5,6,7,8,3,1]=>[3,2,8,4,5,6,7,1]=>[2,4,5,6,7,8,1,3]=>0000001 [1,1,0,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[2,4,5,7,6,3,8,1]=>[8,2,6,4,5,7,3,1]=>[2,4,5,7,3,6,8,1]=>0000011 [1,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[2,4,6,5,3,1,7,8]=>[3,2,5,4,6,1,7,8]=>[2,4,6,1,3,5,7,8]=>0000100 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,4,6,5,3,1,8,7]=>[3,2,5,4,6,1,8,7]=>[2,4,6,1,3,5,8,7]=>0000101 [1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[2,4,6,5,3,7,1,8]=>[7,2,5,4,6,3,1,8]=>[2,4,6,3,5,7,1,8]=>0000110 [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,4,6,5,3,7,8,1]=>[8,2,5,4,6,3,7,1]=>[2,4,6,3,5,7,8,1]=>0000101 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,4,6,5,3,8,7,1]=>[7,2,5,4,6,3,8,1]=>[2,4,6,3,5,8,1,7]=>0000101 [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,4,6,5,7,3,8,1]=>[8,2,7,4,6,5,3,1]=>[2,4,6,5,7,3,8,1]=>0000111 [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,4,6,5,7,8,3,1]=>[3,2,8,4,6,5,7,1]=>[2,4,6,5,7,8,1,3]=>0000101 [1,1,0,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[2,4,6,5,8,7,3,1]=>[3,2,7,4,6,5,8,1]=>[2,4,6,5,8,1,3,7]=>0000101 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,4,6,7,5,3,1,8]=>[3,2,5,4,7,6,1,8]=>[2,4,6,7,1,3,5,8]=>0000010 [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,4,6,7,5,3,8,1]=>[8,2,5,4,7,6,3,1]=>[2,4,6,7,3,5,8,1]=>0000011 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,4,6,7,8,5,3,1]=>[3,2,5,4,8,6,7,1]=>[2,4,6,7,8,1,3,5]=>0000001 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,4,6,8,7,5,3,1]=>[3,2,5,4,7,6,8,1]=>[2,4,6,8,1,3,5,7]=>0000001 [1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[2,4,7,6,5,3,8,1]=>[8,2,5,4,6,7,3,1]=>[2,4,7,3,5,6,8,1]=>0000011 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,4,7,8,6,5,3,1]=>[3,2,5,4,6,8,7,1]=>[2,4,7,8,1,3,5,6]=>0000001 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,4,8,7,6,5,3,1]=>[3,2,5,4,6,7,8,1]=>[2,4,8,1,3,5,6,7]=>0000001 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>[3,2,4,5,1,6,7,8]=>[2,5,1,3,4,6,7,8]=>0001000 [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,5,4,3,6,7,1,8]=>[7,2,4,5,3,6,1,8]=>[2,5,3,4,6,7,1,8]=>0001010 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,1]=>[8,2,4,5,3,6,7,1]=>[2,5,3,4,6,7,8,1]=>0001001 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,4,3,6,8,7,1]=>[7,2,4,5,3,6,8,1]=>[2,5,3,4,6,8,1,7]=>0001001 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,5,4,3,7,6,8,1]=>[8,2,4,5,3,7,6,1]=>[2,5,3,4,7,6,8,1]=>0001011 [1,1,0,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[2,5,4,6,3,1,8,7]=>[3,2,6,5,4,1,8,7]=>[2,5,4,6,1,3,8,7]=>0001101 [1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[2,5,4,6,3,7,1,8]=>[7,2,6,5,4,3,1,8]=>[2,5,4,6,3,7,1,8]=>0001110 [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,5,4,6,3,7,8,1]=>[8,2,6,5,4,3,7,1]=>[2,5,4,6,3,7,8,1]=>0001101 [1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[2,5,4,6,7,3,1,8]=>[3,2,7,5,4,6,1,8]=>[2,5,4,6,7,1,3,8]=>0001010 [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,5,4,6,7,3,8,1]=>[8,2,7,5,4,6,3,1]=>[2,5,4,6,7,3,8,1]=>0001011 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,5,4,7,6,8,3,1]=>[3,2,8,5,4,7,6,1]=>[2,5,4,7,6,8,1,3]=>0001011 [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,5,4,7,8,6,3,1]=>[3,2,6,5,4,8,7,1]=>[2,5,4,7,8,1,3,6]=>0001001 [1,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[2,5,6,4,3,1,8,7]=>[3,2,4,6,5,1,8,7]=>[2,5,6,1,3,4,8,7]=>0000101 [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,5,6,4,3,7,8,1]=>[8,2,4,6,5,3,7,1]=>[2,5,6,3,4,7,8,1]=>0000101 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[2,5,6,4,7,3,1,8]=>[3,2,7,6,5,4,1,8]=>[2,5,6,4,7,1,3,8]=>0000110 [1,1,0,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[2,5,6,4,8,7,3,1]=>[3,2,7,6,5,4,8,1]=>[2,5,6,4,8,1,3,7]=>0000101 [1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[2,5,6,7,4,8,3,1]=>[3,2,8,7,5,6,4,1]=>[2,5,6,7,4,8,1,3]=>0000011 [1,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[2,5,6,7,8,4,3,1]=>[3,2,4,8,5,6,7,1]=>[2,5,6,7,8,1,3,4]=>0000001 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,5,7,6,4,8,3,1]=>[3,2,8,6,5,7,4,1]=>[2,5,7,4,6,8,1,3]=>0000011 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]=>[8,2,4,5,6,3,7,1]=>[2,6,3,4,5,7,8,1]=>0000101 [1,1,0,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[2,6,5,4,3,8,7,1]=>[7,2,4,5,6,3,8,1]=>[2,6,3,4,5,8,1,7]=>0000101 [1,1,0,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[2,6,5,4,7,8,3,1]=>[3,2,8,5,6,4,7,1]=>[2,6,4,5,7,8,1,3]=>0000101 [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,6,5,4,8,7,3,1]=>[3,2,7,5,6,4,8,1]=>[2,6,4,5,8,1,3,7]=>0000101 [1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[2,6,5,7,4,3,1,8]=>[3,2,4,7,6,5,1,8]=>[2,6,5,7,1,3,4,8]=>0000110 [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,6,5,7,4,3,8,1]=>[8,2,4,7,6,5,3,1]=>[2,6,5,7,3,4,8,1]=>0000111 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,6,5,8,7,4,3,1]=>[3,2,4,7,6,5,8,1]=>[2,6,5,8,1,3,4,7]=>0000101 [1,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[2,6,7,5,4,3,1,8]=>[3,2,4,5,7,6,1,8]=>[2,6,7,1,3,4,5,8]=>0000010 [1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[2,6,7,5,4,8,3,1]=>[3,2,8,5,7,6,4,1]=>[2,6,7,4,5,8,1,3]=>0000011 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,6,7,5,8,4,3,1]=>[3,2,4,8,7,6,5,1]=>[2,6,7,5,8,1,3,4]=>0000011 [1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[2,6,7,8,5,4,3,1]=>[3,2,4,5,8,6,7,1]=>[2,6,7,8,1,3,4,5]=>0000001 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,6,8,7,5,4,3,1]=>[3,2,4,5,7,6,8,1]=>[2,6,8,1,3,4,5,7]=>0000001 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,6,5,4,3,1,8]=>[3,2,4,5,6,7,1,8]=>[2,7,1,3,4,5,6,8]=>0000010 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,7,6,5,4,8,3,1]=>[3,2,8,5,6,7,4,1]=>[2,7,4,5,6,8,1,3]=>0000011 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,7,6,5,8,4,3,1]=>[3,2,4,8,6,7,5,1]=>[2,7,5,6,8,1,3,4]=>0000011 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,7,8,6,5,4,3,1]=>[3,2,4,5,6,8,7,1]=>[2,7,8,1,3,4,5,6]=>0000001 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,1]=>[2,8,1,3,4,5,6,7]=>0000001 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>0100000 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,8,7]=>[2,3,1,4,5,6,8,7]=>[3,1,2,4,5,6,8,7]=>0100001 [1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,5,7,6,8]=>[2,3,1,4,5,7,6,8]=>[3,1,2,4,5,7,6,8]=>0100010 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]=>[2,3,1,4,5,8,7,6]=>[3,1,2,4,5,7,8,6]=>0100001 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>[2,3,1,4,5,7,8,6]=>[3,1,2,4,5,8,6,7]=>0100001 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,2,1,4,6,5,8,7]=>[2,3,1,4,6,5,8,7]=>[3,1,2,4,6,5,8,7]=>0100101 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,2,1,4,6,7,8,5]=>[2,3,1,4,8,6,7,5]=>[3,1,2,4,6,7,8,5]=>0100001 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,2,1,4,6,8,7,5]=>[2,3,1,4,7,6,8,5]=>[3,1,2,4,6,8,5,7]=>0100001 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>[2,3,1,4,6,7,5,8]=>[3,1,2,4,7,5,6,8]=>0100010 [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,2,1,4,7,6,8,5]=>[2,3,1,4,8,7,6,5]=>[3,1,2,4,7,6,8,5]=>0100011 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,7,8,6,5]=>[2,3,1,4,6,8,7,5]=>[3,1,2,4,7,8,5,6]=>0100001 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>[2,3,1,4,6,7,8,5]=>[3,1,2,4,8,5,6,7]=>0100001 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]=>[3,1,2,5,4,7,6,8]=>0101010 [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]=>[2,3,1,6,5,4,7,8]=>[3,1,2,5,6,4,7,8]=>0100100 [1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0]=>[3,2,1,5,6,7,4,8]=>[2,3,1,7,5,6,4,8]=>[3,1,2,5,6,7,4,8]=>0100010 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]=>[2,3,1,8,5,6,7,4]=>[3,1,2,5,6,7,8,4]=>0100001 [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]=>[2,3,1,7,5,6,8,4]=>[3,1,2,5,6,8,4,7]=>0100001 [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,1,5,7,6,4,8]=>[2,3,1,6,5,7,4,8]=>[3,1,2,5,7,4,6,8]=>0100010 [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,1,5,7,6,8,4]=>[2,3,1,8,5,7,6,4]=>[3,1,2,5,7,6,8,4]=>0100011 [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,7,8,6,4]=>[2,3,1,6,5,8,7,4]=>[3,1,2,5,7,8,4,6]=>0100001 [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]=>[2,3,1,6,5,7,8,4]=>[3,1,2,5,8,4,6,7]=>0100001 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,2,1,6,5,4,8,7]=>[2,3,1,5,6,4,8,7]=>[3,1,2,6,4,5,8,7]=>0100101 [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]=>[2,3,1,8,6,5,7,4]=>[3,1,2,6,5,7,8,4]=>0100101 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>[2,3,1,7,6,5,8,4]=>[3,1,2,6,5,8,4,7]=>0100101 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,2,1,6,7,5,8,4]=>[2,3,1,8,7,6,5,4]=>[3,1,2,6,7,5,8,4]=>0100011 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,6,7,8,5,4]=>[2,3,1,5,8,6,7,4]=>[3,1,2,6,7,8,4,5]=>0100001 [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,2,1,6,8,7,5,4]=>[2,3,1,5,7,6,8,4]=>[3,1,2,6,8,4,5,7]=>0100001 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,1,7,6,5,4,8]=>[2,3,1,5,6,7,4,8]=>[3,1,2,7,4,5,6,8]=>0100010 [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,2,1,7,6,5,8,4]=>[2,3,1,8,6,7,5,4]=>[3,1,2,7,5,6,8,4]=>0100011 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,7,8,6,5,4]=>[2,3,1,5,6,8,7,4]=>[3,1,2,7,8,4,5,6]=>0100001 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>[2,3,1,5,6,7,8,4]=>[3,1,2,8,4,5,6,7]=>0100001 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>0110000 [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,2,4,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[3,2,4,1,5,6,8,7]=>0110001 [1,1,1,0,0,1,0,0,1,0,1,1,0,0,1,0]=>[3,2,4,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[3,2,4,1,5,7,6,8]=>0110010 [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,2,4,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[3,2,4,1,5,7,8,6]=>0110001 [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,2,4,1,5,8,7,6]=>[4,3,2,1,5,7,8,6]=>[3,2,4,1,5,8,6,7]=>0110001 [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[3,2,4,1,6,5,7,8]=>0110100 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[3,2,4,1,6,5,8,7]=>0110101 [1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0]=>[3,2,4,1,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[3,2,4,1,6,7,5,8]=>0110010 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[3,2,4,1,6,7,8,5]=>0110001 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>[4,3,2,1,7,6,8,5]=>[3,2,4,1,6,8,5,7]=>0110001 [1,1,1,0,0,1,0,0,1,1,1,0,0,0,1,0]=>[3,2,4,1,7,6,5,8]=>[4,3,2,1,6,7,5,8]=>[3,2,4,1,7,5,6,8]=>0110010 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5]=>[3,2,4,1,7,6,8,5]=>0110011 [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,1,7,8,6,5]=>[4,3,2,1,6,8,7,5]=>[3,2,4,1,7,8,5,6]=>0110001 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>[4,3,2,1,6,7,8,5]=>[3,2,4,1,8,5,6,7]=>0110001 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[3,2,4,5,1,6,7,8]=>0101000 [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,5,1,8,7,6]=>[5,3,2,4,1,7,8,6]=>[3,2,4,5,1,8,6,7]=>0101001 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,6,1,7,8]=>[6,3,2,4,5,1,7,8]=>[3,2,4,5,6,1,7,8]=>0100100 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,1,8]=>[7,3,2,4,5,6,1,8]=>[3,2,4,5,6,7,1,8]=>0100010 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[3,2,4,5,6,7,8,1]=>0100001 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,8,7,1]=>[7,3,2,4,5,6,8,1]=>[3,2,4,5,6,8,1,7]=>0100001 [1,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,5,7,6,8,1]=>[8,3,2,4,5,7,6,1]=>[3,2,4,5,7,6,8,1]=>0100011 [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,5,7,8,6,1]=>[6,3,2,4,5,8,7,1]=>[3,2,4,5,7,8,1,6]=>0100001 [1,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0]=>[3,2,4,6,5,1,8,7]=>[5,3,2,4,6,1,8,7]=>[3,2,4,6,1,5,8,7]=>0100101 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,2,4,6,5,8,7,1]=>[7,3,2,4,6,5,8,1]=>[3,2,4,6,5,8,1,7]=>0100101 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,2,4,6,7,8,5,1]=>[5,3,2,4,8,6,7,1]=>[3,2,4,6,7,8,1,5]=>0100001 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,7,6,5,8,1]=>[8,3,2,4,6,7,5,1]=>[3,2,4,7,5,6,8,1]=>0100011 [1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,0]=>[3,2,4,7,8,6,5,1]=>[5,3,2,4,6,8,7,1]=>[3,2,4,7,8,1,5,6]=>0100001 [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,2,4,8,7,6,5,1]=>[5,3,2,4,6,7,8,1]=>[3,2,4,8,1,5,6,7]=>0100001 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]=>[4,3,2,5,1,6,7,8]=>[3,2,5,1,4,6,7,8]=>0101000 [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,5,4,1,6,8,7]=>[4,3,2,5,1,6,8,7]=>[3,2,5,1,4,6,8,7]=>0101001 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,8]=>[4,3,2,5,1,7,6,8]=>[3,2,5,1,4,7,6,8]=>0101010 [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,5,4,1,7,8,6]=>[4,3,2,5,1,8,7,6]=>[3,2,5,1,4,7,8,6]=>0101001 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,2,5,4,6,1,8,7]=>0101101 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,5,4,6,7,8,1]=>[8,3,2,5,4,6,7,1]=>[3,2,5,4,6,7,8,1]=>0101001 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>[6,3,2,5,4,7,1,8]=>[3,2,5,4,7,1,6,8]=>0101010 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>[8,3,2,5,4,7,6,1]=>[3,2,5,4,7,6,8,1]=>0101011 [1,1,1,0,0,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,5,4,7,8,6,1]=>[6,3,2,5,4,8,7,1]=>[3,2,5,4,7,8,1,6]=>0101001 [1,1,1,0,0,1,1,0,1,0,0,1,0,1,0,0]=>[3,2,5,6,4,7,8,1]=>[8,3,2,6,5,4,7,1]=>[3,2,5,6,4,7,8,1]=>0100101 [1,1,1,0,0,1,1,0,1,0,1,0,0,1,0,0]=>[3,2,5,6,7,4,8,1]=>[8,3,2,7,5,6,4,1]=>[3,2,5,6,7,4,8,1]=>0100011 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,5,6,7,8,4,1]=>[4,3,2,8,5,6,7,1]=>[3,2,5,6,7,8,1,4]=>0100001 [1,1,1,0,0,1,1,0,1,0,1,1,0,0,0,0]=>[3,2,5,6,8,7,4,1]=>[4,3,2,7,5,6,8,1]=>[3,2,5,6,8,1,4,7]=>0100001 [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,5,7,6,4,1,8]=>[4,3,2,6,5,7,1,8]=>[3,2,5,7,1,4,6,8]=>0100010 [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,5,7,6,4,8,1]=>[8,3,2,6,5,7,4,1]=>[3,2,5,7,4,6,8,1]=>0100011 [1,1,1,0,0,1,1,0,1,1,0,0,1,0,0,0]=>[3,2,5,7,6,8,4,1]=>[4,3,2,8,5,7,6,1]=>[3,2,5,7,6,8,1,4]=>0100011 [1,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0]=>[3,2,5,8,7,6,4,1]=>[4,3,2,6,5,7,8,1]=>[3,2,5,8,1,4,6,7]=>0100001 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,2,6,5,4,1,8,7]=>[4,3,2,5,6,1,8,7]=>[3,2,6,1,4,5,8,7]=>0100101 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,2,6,5,4,8,7,1]=>[7,3,2,5,6,4,8,1]=>[3,2,6,4,5,8,1,7]=>0100101 [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,2,6,5,7,4,1,8]=>[4,3,2,7,6,5,1,8]=>[3,2,6,5,7,1,4,8]=>0100110 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1]=>[3,2,6,5,7,4,8,1]=>0100111 [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,2,6,5,7,8,4,1]=>[4,3,2,8,6,5,7,1]=>[3,2,6,5,7,8,1,4]=>0100101 [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,2,6,7,5,8,4,1]=>[4,3,2,8,7,6,5,1]=>[3,2,6,7,5,8,1,4]=>0100011 [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,2,6,8,7,5,4,1]=>[4,3,2,5,7,6,8,1]=>[3,2,6,8,1,4,5,7]=>0100001 [1,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0]=>[3,2,7,6,5,8,4,1]=>[4,3,2,8,6,7,5,1]=>[3,2,7,5,6,8,1,4]=>0100011 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,0,0]=>[3,2,7,6,8,5,4,1]=>[4,3,2,5,8,7,6,1]=>[3,2,7,6,8,1,4,5]=>0100011 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,7,8,6,5,4,1]=>[4,3,2,5,6,8,7,1]=>[3,2,7,8,1,4,5,6]=>0100001 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,1]=>[3,2,8,1,4,5,6,7]=>0100001 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>0010000 [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,4,2,1,5,6,8,7]=>[2,4,3,1,5,6,8,7]=>[3,4,1,2,5,6,8,7]=>0010001 [1,1,1,0,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,4,2,1,5,7,6,8]=>[2,4,3,1,5,7,6,8]=>[3,4,1,2,5,7,6,8]=>0010010 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,4,2,1,5,7,8,6]=>[2,4,3,1,5,8,7,6]=>[3,4,1,2,5,7,8,6]=>0010001 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,4,2,1,5,8,7,6]=>[2,4,3,1,5,7,8,6]=>[3,4,1,2,5,8,6,7]=>0010001 [1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,4,2,1,6,5,7,8]=>[2,4,3,1,6,5,7,8]=>[3,4,1,2,6,5,7,8]=>0010100 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,4,2,1,6,5,8,7]=>[2,4,3,1,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>0010101 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,4,2,1,6,7,8,5]=>[2,4,3,1,8,6,7,5]=>[3,4,1,2,6,7,8,5]=>0010001 [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,4,2,1,6,8,7,5]=>[2,4,3,1,7,6,8,5]=>[3,4,1,2,6,8,5,7]=>0010001 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,4,2,1,7,6,8,5]=>[2,4,3,1,8,7,6,5]=>[3,4,1,2,7,6,8,5]=>0010011 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,4,2,1,7,8,6,5]=>[2,4,3,1,6,8,7,5]=>[3,4,1,2,7,8,5,6]=>0010001 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,4,2,1,8,7,6,5]=>[2,4,3,1,6,7,8,5]=>[3,4,1,2,8,5,6,7]=>0010001 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>0011000 [1,1,1,0,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,4,2,5,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[3,4,2,5,1,7,6,8]=>0011010 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,4,2,5,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[3,4,2,5,1,7,8,6]=>0011001 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,4,2,5,1,8,7,6]=>[5,4,3,2,1,7,8,6]=>[3,4,2,5,1,8,6,7]=>0011001 [1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,4,2,5,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,4,2,5,6,1,7,8]=>0010100 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,4,2,5,6,1,8,7]=>[6,4,3,2,5,1,8,7]=>[3,4,2,5,6,1,8,7]=>0010101 [1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,4,2,5,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[3,4,2,5,6,7,1,8]=>0010010 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[3,4,2,5,6,7,8,1]=>0010001 [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,4,2,5,6,8,7,1]=>[7,4,3,2,5,6,8,1]=>[3,4,2,5,6,8,1,7]=>0010001 [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,4,2,5,7,6,8,1]=>[8,4,3,2,5,7,6,1]=>[3,4,2,5,7,6,8,1]=>0010011 [1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,4,2,6,5,7,1,8]=>[7,4,3,2,6,5,1,8]=>[3,4,2,6,5,7,1,8]=>0010110 [1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,4,2,6,5,7,8,1]=>[8,4,3,2,6,5,7,1]=>[3,4,2,6,5,7,8,1]=>0010101 [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,4,2,6,5,8,7,1]=>[7,4,3,2,6,5,8,1]=>[3,4,2,6,5,8,1,7]=>0010101 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,4,2,6,7,5,1,8]=>[5,4,3,2,7,6,1,8]=>[3,4,2,6,7,1,5,8]=>0010010 [1,1,1,0,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,4,2,6,7,5,8,1]=>[8,4,3,2,7,6,5,1]=>[3,4,2,6,7,5,8,1]=>0010011 [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,4,2,6,7,8,5,1]=>[5,4,3,2,8,6,7,1]=>[3,4,2,6,7,8,1,5]=>0010001 [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,4,2,6,8,7,5,1]=>[5,4,3,2,7,6,8,1]=>[3,4,2,6,8,1,5,7]=>0010001 [1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,4,2,7,6,5,1,8]=>[5,4,3,2,6,7,1,8]=>[3,4,2,7,1,5,6,8]=>0010010 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,4,2,7,8,6,5,1]=>[5,4,3,2,6,8,7,1]=>[3,4,2,7,8,1,5,6]=>0010001 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,4,2,8,7,6,5,1]=>[5,4,3,2,6,7,8,1]=>[3,4,2,8,1,5,6,7]=>0010001 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[3,4,5,2,1,6,7,8]=>[2,5,3,4,1,6,7,8]=>[3,4,5,1,2,6,7,8]=>0001000 [1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0]=>[3,4,5,2,1,7,8,6]=>[2,5,3,4,1,8,7,6]=>[3,4,5,1,2,7,8,6]=>0001001 [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[3,4,5,2,1,8,7,6]=>[2,5,3,4,1,7,8,6]=>[3,4,5,1,2,8,6,7]=>0001001 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[3,4,5,2,6,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,5,2,6,1,7,8]=>0001100 [1,1,1,0,1,0,1,0,0,1,0,0,1,1,0,0]=>[3,4,5,2,6,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,5,2,6,1,8,7]=>0001101 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[3,4,5,2,6,7,1,8]=>[7,5,3,4,2,6,1,8]=>[3,4,5,2,6,7,1,8]=>0001010 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1]=>[3,4,5,2,6,7,8,1]=>0001001 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[3,4,5,2,7,6,8,1]=>[8,5,3,4,2,7,6,1]=>[3,4,5,2,7,6,8,1]=>0001011 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[3,4,5,6,2,1,7,8]=>[2,6,3,4,5,1,7,8]=>[3,4,5,6,1,2,7,8]=>0000100 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[3,4,5,6,2,1,8,7]=>[2,6,3,4,5,1,8,7]=>[3,4,5,6,1,2,8,7]=>0000101 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8]=>[3,4,5,6,2,7,1,8]=>0000110 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1]=>[3,4,5,6,2,7,8,1]=>0000101 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[3,4,5,6,2,8,7,1]=>[7,6,3,4,5,2,8,1]=>[3,4,5,6,2,8,1,7]=>0000101 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,7,2,1,8]=>[2,7,3,4,5,6,1,8]=>[3,4,5,6,7,1,2,8]=>0000010 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1]=>[3,4,5,6,7,2,8,1]=>0000011 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,2,1]=>[2,8,3,4,5,6,7,1]=>[3,4,5,6,7,8,1,2]=>0000001 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[3,4,5,6,8,7,2,1]=>[2,7,3,4,5,6,8,1]=>[3,4,5,6,8,1,2,7]=>0000001 [1,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0]=>[3,4,5,7,6,2,8,1]=>[8,6,3,4,5,7,2,1]=>[3,4,5,7,2,6,8,1]=>0000011 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[3,4,5,7,6,8,2,1]=>[2,8,3,4,5,7,6,1]=>[3,4,5,7,6,8,1,2]=>0000011 [1,1,1,0,1,0,1,0,1,1,0,1,0,0,0,0]=>[3,4,5,7,8,6,2,1]=>[2,6,3,4,5,8,7,1]=>[3,4,5,7,8,1,2,6]=>0000001 [1,1,1,0,1,0,1,0,1,1,1,0,0,0,0,0]=>[3,4,5,8,7,6,2,1]=>[2,6,3,4,5,7,8,1]=>[3,4,5,8,1,2,6,7]=>0000001 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[3,4,6,5,2,1,8,7]=>[2,5,3,4,6,1,8,7]=>[3,4,6,1,2,5,8,7]=>0000101 [1,1,1,0,1,0,1,1,0,0,1,0,0,1,0,0]=>[3,4,6,5,7,2,8,1]=>[8,7,3,4,6,5,2,1]=>[3,4,6,5,7,2,8,1]=>0000111 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[3,4,6,7,5,2,8,1]=>[8,5,3,4,7,6,2,1]=>[3,4,6,7,2,5,8,1]=>0000011 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[3,4,6,7,8,5,2,1]=>[2,5,3,4,8,6,7,1]=>[3,4,6,7,8,1,2,5]=>0000001 [1,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0]=>[3,4,7,6,5,2,8,1]=>[8,5,3,4,6,7,2,1]=>[3,4,7,2,5,6,8,1]=>0000011 [1,1,1,0,1,0,1,1,1,0,0,1,0,0,0,0]=>[3,4,7,6,8,5,2,1]=>[2,5,3,4,8,7,6,1]=>[3,4,7,6,8,1,2,5]=>0000011 [1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0]=>[3,4,7,8,6,5,2,1]=>[2,5,3,4,6,8,7,1]=>[3,4,7,8,1,2,5,6]=>0000001 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[3,4,8,7,6,5,2,1]=>[2,5,3,4,6,7,8,1]=>[3,4,8,1,2,5,6,7]=>0000001 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[3,5,4,2,1,6,7,8]=>[2,4,3,5,1,6,7,8]=>[3,5,1,2,4,6,7,8]=>0001000 [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[3,5,4,2,1,6,8,7]=>[2,4,3,5,1,6,8,7]=>[3,5,1,2,4,6,8,7]=>0001001 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[3,5,4,2,1,7,6,8]=>[2,4,3,5,1,7,6,8]=>[3,5,1,2,4,7,6,8]=>0001010 [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[3,5,4,2,1,7,8,6]=>[2,4,3,5,1,8,7,6]=>[3,5,1,2,4,7,8,6]=>0001001 [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[3,5,4,2,1,8,7,6]=>[2,4,3,5,1,7,8,6]=>[3,5,1,2,4,8,6,7]=>0001001 [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[3,5,4,2,6,1,8,7]=>[6,4,3,5,2,1,8,7]=>[3,5,2,4,6,1,8,7]=>0001101 [1,1,1,0,1,1,0,0,0,1,0,1,0,1,0,0]=>[3,5,4,2,6,7,8,1]=>[8,4,3,5,2,6,7,1]=>[3,5,2,4,6,7,8,1]=>0001001 [1,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0]=>[3,5,4,2,6,8,7,1]=>[7,4,3,5,2,6,8,1]=>[3,5,2,4,6,8,1,7]=>0001001 [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[3,5,4,2,7,6,1,8]=>[6,4,3,5,2,7,1,8]=>[3,5,2,4,7,1,6,8]=>0001010 [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[3,5,4,2,7,6,8,1]=>[8,4,3,5,2,7,6,1]=>[3,5,2,4,7,6,8,1]=>0001011 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>[3,5,4,6,2,1,8,7]=>[2,6,3,5,4,1,8,7]=>[3,5,4,6,1,2,8,7]=>0001101 [1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0]=>[3,5,4,6,2,7,1,8]=>[7,6,3,5,4,2,1,8]=>[3,5,4,6,2,7,1,8]=>0001110 [1,1,1,0,1,1,0,0,1,0,0,1,0,1,0,0]=>[3,5,4,6,2,7,8,1]=>[8,6,3,5,4,2,7,1]=>[3,5,4,6,2,7,8,1]=>0001101 [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[3,5,4,6,2,8,7,1]=>[7,6,3,5,4,2,8,1]=>[3,5,4,6,2,8,1,7]=>0001101 [1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0]=>[3,5,4,6,7,2,8,1]=>[8,7,3,5,4,6,2,1]=>[3,5,4,6,7,2,8,1]=>0001011 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[3,5,4,6,7,8,2,1]=>[2,8,3,5,4,6,7,1]=>[3,5,4,6,7,8,1,2]=>0001001 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[3,5,4,6,8,7,2,1]=>[2,7,3,5,4,6,8,1]=>[3,5,4,6,8,1,2,7]=>0001001 [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[3,5,4,7,6,2,8,1]=>[8,6,3,5,4,7,2,1]=>[3,5,4,7,2,6,8,1]=>0001011 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>[3,5,4,7,6,8,2,1]=>[2,8,3,5,4,7,6,1]=>[3,5,4,7,6,8,1,2]=>0001011 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[3,5,4,7,8,6,2,1]=>[2,6,3,5,4,8,7,1]=>[3,5,4,7,8,1,2,6]=>0001001 [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[3,5,6,4,2,1,7,8]=>[2,4,3,6,5,1,7,8]=>[3,5,6,1,2,4,7,8]=>0000100 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[3,5,6,4,2,1,8,7]=>[2,4,3,6,5,1,8,7]=>[3,5,6,1,2,4,8,7]=>0000101 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>[3,5,6,4,2,7,1,8]=>[7,4,3,6,5,2,1,8]=>[3,5,6,2,4,7,1,8]=>0000110 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[3,5,6,4,2,7,8,1]=>[8,4,3,6,5,2,7,1]=>[3,5,6,2,4,7,8,1]=>0000101 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[3,5,6,4,2,8,7,1]=>[7,4,3,6,5,2,8,1]=>[3,5,6,2,4,8,1,7]=>0000101 [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1]=>[3,5,6,4,7,2,8,1]=>0000111 [1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0]=>[3,5,6,4,7,8,2,1]=>[2,8,3,6,5,4,7,1]=>[3,5,6,4,7,8,1,2]=>0000101 [1,1,1,0,1,1,0,1,0,1,0,0,0,0,1,0]=>[3,5,6,7,4,2,1,8]=>[2,4,3,7,5,6,1,8]=>[3,5,6,7,1,2,4,8]=>0000010 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[3,5,6,7,4,2,8,1]=>[8,4,3,7,5,6,2,1]=>[3,5,6,7,2,4,8,1]=>0000011 [1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0]=>[3,5,6,7,8,4,2,1]=>[2,4,3,8,5,6,7,1]=>[3,5,6,7,8,1,2,4]=>0000001 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[3,5,6,8,7,4,2,1]=>[2,4,3,7,5,6,8,1]=>[3,5,6,8,1,2,4,7]=>0000001 [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[3,5,7,6,4,2,1,8]=>[2,4,3,6,5,7,1,8]=>[3,5,7,1,2,4,6,8]=>0000010 [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[3,5,7,6,4,2,8,1]=>[8,4,3,6,5,7,2,1]=>[3,5,7,2,4,6,8,1]=>0000011 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[3,5,7,6,4,8,2,1]=>[2,8,3,6,5,7,4,1]=>[3,5,7,4,6,8,1,2]=>0000011 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>[3,5,7,8,6,4,2,1]=>[2,4,3,6,5,8,7,1]=>[3,5,7,8,1,2,4,6]=>0000001 [1,1,1,0,1,1,1,0,0,0,0,0,1,0,1,0]=>[3,6,5,4,2,1,7,8]=>[2,4,3,5,6,1,7,8]=>[3,6,1,2,4,5,7,8]=>0000100 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[3,6,5,4,2,1,8,7]=>[2,4,3,5,6,1,8,7]=>[3,6,1,2,4,5,8,7]=>0000101 [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[3,6,5,4,2,7,1,8]=>[7,4,3,5,6,2,1,8]=>[3,6,2,4,5,7,1,8]=>0000110 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[3,6,5,4,7,2,8,1]=>[8,7,3,5,6,4,2,1]=>[3,6,4,5,7,2,8,1]=>0000111 [1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0]=>[3,6,5,7,4,8,2,1]=>[2,8,3,7,6,5,4,1]=>[3,6,5,7,4,8,1,2]=>0000111 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[3,6,5,8,7,4,2,1]=>[2,4,3,7,6,5,8,1]=>[3,6,5,8,1,2,4,7]=>0000101 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[3,6,7,5,4,2,8,1]=>[8,4,3,5,7,6,2,1]=>[3,6,7,2,4,5,8,1]=>0000011 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[3,6,7,5,4,8,2,1]=>[2,8,3,5,7,6,4,1]=>[3,6,7,4,5,8,1,2]=>0000011 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[3,6,7,5,8,4,2,1]=>[2,4,3,8,7,6,5,1]=>[3,6,7,5,8,1,2,4]=>0000011 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[3,6,7,8,5,4,2,1]=>[2,4,3,5,8,6,7,1]=>[3,6,7,8,1,2,4,5]=>0000001 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[3,6,8,7,5,4,2,1]=>[2,4,3,5,7,6,8,1]=>[3,6,8,1,2,4,5,7]=>0000001 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>[3,7,6,5,4,2,1,8]=>[2,4,3,5,6,7,1,8]=>[3,7,1,2,4,5,6,8]=>0000010 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>[3,7,6,5,4,8,2,1]=>[2,8,3,5,6,7,4,1]=>[3,7,4,5,6,8,1,2]=>0000011 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[3,7,6,5,8,4,2,1]=>[2,4,3,8,6,7,5,1]=>[3,7,5,6,8,1,2,4]=>0000011 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[3,7,8,6,5,4,2,1]=>[2,4,3,5,6,8,7,1]=>[3,7,8,1,2,4,5,6]=>0000001 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,8,7,6,5,4,2,1]=>[2,4,3,5,6,7,8,1]=>[3,8,1,2,4,5,6,7]=>0000001 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>0010000 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>[2,3,4,1,5,6,8,7]=>[4,1,2,3,5,6,8,7]=>0010001 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]=>[2,3,4,1,5,7,6,8]=>[4,1,2,3,5,7,6,8]=>0010010 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>[2,3,4,1,5,8,7,6]=>[4,1,2,3,5,7,8,6]=>0010001 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]=>[2,3,4,1,5,7,8,6]=>[4,1,2,3,5,8,6,7]=>0010001 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>[2,3,4,1,6,5,7,8]=>[4,1,2,3,6,5,7,8]=>0010100 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>[2,3,4,1,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>0010101 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]=>[2,3,4,1,7,6,5,8]=>[4,1,2,3,6,7,5,8]=>0010010 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>[2,3,4,1,8,6,7,5]=>[4,1,2,3,6,7,8,5]=>0010001 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>[2,3,4,1,7,6,8,5]=>[4,1,2,3,6,8,5,7]=>0010001 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]=>[2,3,4,1,6,7,5,8]=>[4,1,2,3,7,5,6,8]=>0010010 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>[2,3,4,1,8,7,6,5]=>[4,1,2,3,7,6,8,5]=>0010011 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,7,8,6,5]=>[2,3,4,1,6,8,7,5]=>[4,1,2,3,7,8,5,6]=>0010001 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>[2,3,4,1,6,7,8,5]=>[4,1,2,3,8,5,6,7]=>0010001 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]=>[5,3,4,2,1,6,7,8]=>[4,2,3,5,1,6,7,8]=>0011000 [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[4,3,2,5,1,6,8,7]=>[5,3,4,2,1,6,8,7]=>[4,2,3,5,1,6,8,7]=>0011001 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,3,2,5,1,7,8,6]=>[5,3,4,2,1,8,7,6]=>[4,2,3,5,1,7,8,6]=>0011001 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,3,2,5,6,1,7,8]=>[6,3,4,2,5,1,7,8]=>[4,2,3,5,6,1,7,8]=>0010100 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,3,2,5,6,1,8,7]=>[6,3,4,2,5,1,8,7]=>[4,2,3,5,6,1,8,7]=>0010101 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]=>[8,3,4,2,5,6,7,1]=>[4,2,3,5,6,7,8,1]=>0010001 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,8,7,1]=>[7,3,4,2,5,6,8,1]=>[4,2,3,5,6,8,1,7]=>0010001 [1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,0]=>[4,3,2,6,5,1,8,7]=>[5,3,4,2,6,1,8,7]=>[4,2,3,6,1,5,8,7]=>0010101 [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,6,7,8,5,1]=>[5,3,4,2,8,6,7,1]=>[4,2,3,6,7,8,1,5]=>0010001 [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,6,8,7,5,1]=>[5,3,4,2,7,6,8,1]=>[4,2,3,6,8,1,5,7]=>0010001 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,2,7,6,5,8,1]=>[8,3,4,2,6,7,5,1]=>[4,2,3,7,5,6,8,1]=>0010011 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>[5,3,4,2,6,7,8,1]=>[4,2,3,8,1,5,6,7]=>0010001 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[4,3,5,2,1,6,7,8]=>[2,5,4,3,1,6,7,8]=>[4,3,5,1,2,6,7,8]=>0011000 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[4,3,5,2,1,7,6,8]=>[2,5,4,3,1,7,6,8]=>[4,3,5,1,2,7,6,8]=>0011010 [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8]=>[4,3,5,2,6,1,7,8]=>0011100 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7]=>[4,3,5,2,6,1,8,7]=>0011101 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1]=>[4,3,5,2,6,7,8,1]=>0011001 [1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0]=>[4,3,5,2,6,8,7,1]=>[7,5,4,3,2,6,8,1]=>[4,3,5,2,6,8,1,7]=>0011001 [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[4,3,5,2,7,6,1,8]=>[6,5,4,3,2,7,1,8]=>[4,3,5,2,7,1,6,8]=>0011010 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1]=>[4,3,5,2,7,6,8,1]=>0011011 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[4,3,5,2,8,7,6,1]=>[6,5,4,3,2,7,8,1]=>[4,3,5,2,8,1,6,7]=>0011001 [1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0]=>[4,3,5,6,2,1,7,8]=>[2,6,4,3,5,1,7,8]=>[4,3,5,6,1,2,7,8]=>0010100 [1,1,1,1,0,0,1,0,1,0,0,0,1,1,0,0]=>[4,3,5,6,2,1,8,7]=>[2,6,4,3,5,1,8,7]=>[4,3,5,6,1,2,8,7]=>0010101 [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[4,3,5,6,2,7,1,8]=>[7,6,4,3,5,2,1,8]=>[4,3,5,6,2,7,1,8]=>0010110 [1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,0]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1]=>[4,3,5,6,2,7,8,1]=>0010101 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[4,3,5,6,7,2,8,1]=>[8,7,4,3,5,6,2,1]=>[4,3,5,6,7,2,8,1]=>0010011 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,8,2,1]=>[2,8,4,3,5,6,7,1]=>[4,3,5,6,7,8,1,2]=>0010001 [1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0]=>[4,3,5,7,6,2,8,1]=>[8,6,4,3,5,7,2,1]=>[4,3,5,7,2,6,8,1]=>0010011 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[4,3,5,7,6,8,2,1]=>[2,8,4,3,5,7,6,1]=>[4,3,5,7,6,8,1,2]=>0010011 [1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0]=>[4,3,5,8,7,6,2,1]=>[2,6,4,3,5,7,8,1]=>[4,3,5,8,1,2,6,7]=>0010001 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[4,3,6,5,2,7,1,8]=>[7,5,4,3,6,2,1,8]=>[4,3,6,2,5,7,1,8]=>0010110 [1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0]=>[4,3,6,5,2,7,8,1]=>[8,5,4,3,6,2,7,1]=>[4,3,6,2,5,7,8,1]=>0010101 [1,1,1,1,0,0,1,1,0,0,0,1,1,0,0,0]=>[4,3,6,5,2,8,7,1]=>[7,5,4,3,6,2,8,1]=>[4,3,6,2,5,8,1,7]=>0010101 [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[4,3,6,5,7,2,1,8]=>[2,7,4,3,6,5,1,8]=>[4,3,6,5,7,1,2,8]=>0010110 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1]=>[4,3,6,5,7,2,8,1]=>0010111 [1,1,1,1,0,0,1,1,0,0,1,0,1,0,0,0]=>[4,3,6,5,7,8,2,1]=>[2,8,4,3,6,5,7,1]=>[4,3,6,5,7,8,1,2]=>0010101 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[4,3,6,7,5,8,2,1]=>[2,8,4,3,7,6,5,1]=>[4,3,6,7,5,8,1,2]=>0010011 [1,1,1,1,0,0,1,1,0,1,0,1,0,0,0,0]=>[4,3,6,7,8,5,2,1]=>[2,5,4,3,8,6,7,1]=>[4,3,6,7,8,1,2,5]=>0010001 [1,1,1,1,0,0,1,1,0,1,1,0,0,0,0,0]=>[4,3,6,8,7,5,2,1]=>[2,5,4,3,7,6,8,1]=>[4,3,6,8,1,2,5,7]=>0010001 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[4,3,7,6,5,2,8,1]=>[8,5,4,3,6,7,2,1]=>[4,3,7,2,5,6,8,1]=>0010011 [1,1,1,1,0,0,1,1,1,0,0,0,1,0,0,0]=>[4,3,7,6,5,8,2,1]=>[2,8,4,3,6,7,5,1]=>[4,3,7,5,6,8,1,2]=>0010011 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0]=>[4,3,7,6,8,5,2,1]=>[2,5,4,3,8,7,6,1]=>[4,3,7,6,8,1,2,5]=>0010011 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[4,3,7,8,6,5,2,1]=>[2,5,4,3,6,8,7,1]=>[4,3,7,8,1,2,5,6]=>0010001 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[4,5,3,2,1,6,7,8]=>[2,3,5,4,1,6,7,8]=>[4,5,1,2,3,6,7,8]=>0001000 [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[4,5,3,2,1,7,6,8]=>[2,3,5,4,1,7,6,8]=>[4,5,1,2,3,7,6,8]=>0001010 [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[4,5,3,2,1,8,7,6]=>[2,3,5,4,1,7,8,6]=>[4,5,1,2,3,8,6,7]=>0001001 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[4,5,3,2,6,1,8,7]=>[6,3,5,4,2,1,8,7]=>[4,5,2,3,6,1,8,7]=>0001101 [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[4,5,3,2,6,7,1,8]=>[7,3,5,4,2,6,1,8]=>[4,5,2,3,6,7,1,8]=>0001010 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[4,5,3,2,6,7,8,1]=>[8,3,5,4,2,6,7,1]=>[4,5,2,3,6,7,8,1]=>0001001 [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[4,5,3,2,7,6,1,8]=>[6,3,5,4,2,7,1,8]=>[4,5,2,3,7,1,6,8]=>0001010 [1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,0]=>[4,5,3,2,8,7,6,1]=>[6,3,5,4,2,7,8,1]=>[4,5,2,3,8,1,6,7]=>0001001 [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[4,5,3,6,2,1,8,7]=>[2,6,5,4,3,1,8,7]=>[4,5,3,6,1,2,8,7]=>0001101 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8]=>[4,5,3,6,2,7,1,8]=>0001110 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,0,0]=>[4,5,3,6,2,8,7,1]=>[7,6,5,4,3,2,8,1]=>[4,5,3,6,2,8,1,7]=>0001101 [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1]=>[4,5,3,6,7,2,8,1]=>0001011 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[4,5,3,6,7,8,2,1]=>[2,8,5,4,3,6,7,1]=>[4,5,3,6,7,8,1,2]=>0001001 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[4,5,3,6,8,7,2,1]=>[2,7,5,4,3,6,8,1]=>[4,5,3,6,8,1,2,7]=>0001001 [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[4,5,3,7,6,2,1,8]=>[2,6,5,4,3,7,1,8]=>[4,5,3,7,1,2,6,8]=>0001010 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[4,5,3,7,6,8,2,1]=>[2,8,5,4,3,7,6,1]=>[4,5,3,7,6,8,1,2]=>0001011 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>[4,5,3,7,8,6,2,1]=>[2,6,5,4,3,8,7,1]=>[4,5,3,7,8,1,2,6]=>0001001 [1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0]=>[4,5,6,3,2,1,7,8]=>[2,3,6,4,5,1,7,8]=>[4,5,6,1,2,3,7,8]=>0000100 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[4,5,6,3,2,1,8,7]=>[2,3,6,4,5,1,8,7]=>[4,5,6,1,2,3,8,7]=>0000101 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[4,5,6,3,2,7,8,1]=>[8,3,6,4,5,2,7,1]=>[4,5,6,2,3,7,8,1]=>0000101 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[4,5,6,3,2,8,7,1]=>[7,3,6,4,5,2,8,1]=>[4,5,6,2,3,8,1,7]=>0000101 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1]=>[4,5,6,3,7,2,8,1]=>0000111 [1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0]=>[4,5,6,3,7,8,2,1]=>[2,8,6,4,5,3,7,1]=>[4,5,6,3,7,8,1,2]=>0000101 [1,1,1,1,0,1,0,1,0,0,1,1,0,0,0,0]=>[4,5,6,3,8,7,2,1]=>[2,7,6,4,5,3,8,1]=>[4,5,6,3,8,1,2,7]=>0000101 [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[4,5,6,7,3,2,1,8]=>[2,3,7,4,5,6,1,8]=>[4,5,6,7,1,2,3,8]=>0000010 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[4,5,6,7,3,2,8,1]=>[8,3,7,4,5,6,2,1]=>[4,5,6,7,2,3,8,1]=>0000011 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[4,5,6,7,3,8,2,1]=>[2,8,7,4,5,6,3,1]=>[4,5,6,7,3,8,1,2]=>0000011 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,3,2,1]=>[2,3,8,4,5,6,7,1]=>[4,5,6,7,8,1,2,3]=>0000001 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[4,5,6,8,7,3,2,1]=>[2,3,7,4,5,6,8,1]=>[4,5,6,8,1,2,3,7]=>0000001 [1,1,1,1,0,1,0,1,1,0,0,0,0,1,0,0]=>[4,5,7,6,3,2,8,1]=>[8,3,6,4,5,7,2,1]=>[4,5,7,2,3,6,8,1]=>0000011 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[4,5,7,6,3,8,2,1]=>[2,8,6,4,5,7,3,1]=>[4,5,7,3,6,8,1,2]=>0000011 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[4,5,7,6,8,3,2,1]=>[2,3,8,4,5,7,6,1]=>[4,5,7,6,8,1,2,3]=>0000011 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>[4,5,7,8,6,3,2,1]=>[2,3,6,4,5,8,7,1]=>[4,5,7,8,1,2,3,6]=>0000001 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[4,5,8,7,6,3,2,1]=>[2,3,6,4,5,7,8,1]=>[4,5,8,1,2,3,6,7]=>0000001 [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[4,6,5,3,2,8,7,1]=>[7,3,5,4,6,2,8,1]=>[4,6,2,3,5,8,1,7]=>0000101 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[4,6,5,3,7,2,8,1]=>[8,7,5,4,6,3,2,1]=>[4,6,3,5,7,2,8,1]=>0000111 [1,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0]=>[4,6,5,3,7,8,2,1]=>[2,8,5,4,6,3,7,1]=>[4,6,3,5,7,8,1,2]=>0000101 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[4,6,5,3,8,7,2,1]=>[2,7,5,4,6,3,8,1]=>[4,6,3,5,8,1,2,7]=>0000101 [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[4,6,5,7,3,2,1,8]=>[2,3,7,4,6,5,1,8]=>[4,6,5,7,1,2,3,8]=>0000110 [1,1,1,1,0,1,1,0,0,1,0,0,0,1,0,0]=>[4,6,5,7,3,2,8,1]=>[8,3,7,4,6,5,2,1]=>[4,6,5,7,2,3,8,1]=>0000111 [1,1,1,1,0,1,1,0,0,1,0,0,1,0,0,0]=>[4,6,5,7,3,8,2,1]=>[2,8,7,4,6,5,3,1]=>[4,6,5,7,3,8,1,2]=>0000111 [1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0]=>[4,6,5,7,8,3,2,1]=>[2,3,8,4,6,5,7,1]=>[4,6,5,7,8,1,2,3]=>0000101 [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[4,6,7,5,3,2,1,8]=>[2,3,5,4,7,6,1,8]=>[4,6,7,1,2,3,5,8]=>0000010 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[4,6,7,5,3,2,8,1]=>[8,3,5,4,7,6,2,1]=>[4,6,7,2,3,5,8,1]=>0000011 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[4,6,7,5,3,8,2,1]=>[2,8,5,4,7,6,3,1]=>[4,6,7,3,5,8,1,2]=>0000011 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[4,6,7,5,8,3,2,1]=>[2,3,8,4,7,6,5,1]=>[4,6,7,5,8,1,2,3]=>0000011 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[4,6,8,7,5,3,2,1]=>[2,3,5,4,7,6,8,1]=>[4,6,8,1,2,3,5,7]=>0000001 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[4,7,6,5,3,2,1,8]=>[2,3,5,4,6,7,1,8]=>[4,7,1,2,3,5,6,8]=>0000010 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[4,7,6,5,8,3,2,1]=>[2,3,8,4,6,7,5,1]=>[4,7,5,6,8,1,2,3]=>0000011 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[4,8,7,6,5,3,2,1]=>[2,3,5,4,6,7,8,1]=>[4,8,1,2,3,5,6,7]=>0000001 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>0001000 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,8,7]=>[2,3,4,5,1,6,8,7]=>[5,1,2,3,4,6,8,7]=>0001001 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>[2,3,4,5,1,8,7,6]=>[5,1,2,3,4,7,8,6]=>0001001 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>[2,3,4,5,1,7,8,6]=>[5,1,2,3,4,8,6,7]=>0001001 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]=>[6,3,4,5,2,1,7,8]=>[5,2,3,4,6,1,7,8]=>0001100 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>[6,3,4,5,2,1,8,7]=>[5,2,3,4,6,1,8,7]=>0001101 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>[7,3,4,5,2,6,1,8]=>[5,2,3,4,6,7,1,8]=>0001010 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>[8,3,4,5,2,6,7,1]=>[5,2,3,4,6,7,8,1]=>0001001 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]=>[7,3,4,5,2,6,8,1]=>[5,2,3,4,6,8,1,7]=>0001001 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>[6,3,4,5,2,7,1,8]=>[5,2,3,4,7,1,6,8]=>0001010 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>[6,3,4,5,2,7,8,1]=>[5,2,3,4,8,1,6,7]=>0001001 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[5,4,3,6,2,7,1,8]=>[7,6,4,5,3,2,1,8]=>[5,3,4,6,2,7,1,8]=>0001110 [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[5,4,3,6,2,8,7,1]=>[7,6,4,5,3,2,8,1]=>[5,3,4,6,2,8,1,7]=>0001101 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,8,2,1]=>[2,8,4,5,3,6,7,1]=>[5,3,4,6,7,8,1,2]=>0001001 [1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0]=>[5,4,3,7,8,6,2,1]=>[2,6,4,5,3,8,7,1]=>[5,3,4,7,8,1,2,6]=>0001001 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[5,4,6,3,2,1,8,7]=>[2,3,6,5,4,1,8,7]=>[5,4,6,1,2,3,8,7]=>0001101 [1,1,1,1,1,0,0,1,0,0,0,1,0,0,1,0]=>[5,4,6,3,2,7,1,8]=>[7,3,6,5,4,2,1,8]=>[5,4,6,2,3,7,1,8]=>0001110 [1,1,1,1,1,0,0,1,0,0,0,1,0,1,0,0]=>[5,4,6,3,2,7,8,1]=>[8,3,6,5,4,2,7,1]=>[5,4,6,2,3,7,8,1]=>0001101 [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[5,4,6,3,2,8,7,1]=>[7,3,6,5,4,2,8,1]=>[5,4,6,2,3,8,1,7]=>0001101 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]=>[5,4,6,3,7,2,8,1]=>0001111 [1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0]=>[5,4,6,3,7,8,2,1]=>[2,8,6,5,4,3,7,1]=>[5,4,6,3,7,8,1,2]=>0001101 [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[5,4,6,7,3,2,1,8]=>[2,3,7,5,4,6,1,8]=>[5,4,6,7,1,2,3,8]=>0001010 [1,1,1,1,1,0,0,1,0,1,0,0,0,1,0,0]=>[5,4,6,7,3,2,8,1]=>[8,3,7,5,4,6,2,1]=>[5,4,6,7,2,3,8,1]=>0001011 [1,1,1,1,1,0,0,1,0,1,0,0,1,0,0,0]=>[5,4,6,7,3,8,2,1]=>[2,8,7,5,4,6,3,1]=>[5,4,6,7,3,8,1,2]=>0001011 [1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0]=>[5,4,6,7,8,3,2,1]=>[2,3,8,5,4,6,7,1]=>[5,4,6,7,8,1,2,3]=>0001001 [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[5,4,7,6,3,2,8,1]=>[8,3,6,5,4,7,2,1]=>[5,4,7,2,3,6,8,1]=>0001011 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[5,4,7,6,3,8,2,1]=>[2,8,6,5,4,7,3,1]=>[5,4,7,3,6,8,1,2]=>0001011 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,0,0]=>[5,4,7,6,8,3,2,1]=>[2,3,8,5,4,7,6,1]=>[5,4,7,6,8,1,2,3]=>0001011 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[5,4,8,7,6,3,2,1]=>[2,3,6,5,4,7,8,1]=>[5,4,8,1,2,3,6,7]=>0001001 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[5,6,4,3,2,1,8,7]=>[2,3,4,6,5,1,8,7]=>[5,6,1,2,3,4,8,7]=>0000101 [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[5,6,4,3,7,2,1,8]=>[2,7,4,6,5,3,1,8]=>[5,6,3,4,7,1,2,8]=>0000110 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[5,6,4,3,7,2,8,1]=>[8,7,4,6,5,3,2,1]=>[5,6,3,4,7,2,8,1]=>0000111 [1,1,1,1,1,0,1,0,0,0,1,0,1,0,0,0]=>[5,6,4,3,7,8,2,1]=>[2,8,4,6,5,3,7,1]=>[5,6,3,4,7,8,1,2]=>0000101 [1,1,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>[5,6,4,7,3,2,1,8]=>[2,3,7,6,5,4,1,8]=>[5,6,4,7,1,2,3,8]=>0000110 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[5,6,4,7,3,2,8,1]=>[8,3,7,6,5,4,2,1]=>[5,6,4,7,2,3,8,1]=>0000111 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[5,6,4,7,3,8,2,1]=>[2,8,7,6,5,4,3,1]=>[5,6,4,7,3,8,1,2]=>0000111 [1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0]=>[5,6,4,7,8,3,2,1]=>[2,3,8,6,5,4,7,1]=>[5,6,4,7,8,1,2,3]=>0000101 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[5,6,7,4,3,2,1,8]=>[2,3,4,7,5,6,1,8]=>[5,6,7,1,2,3,4,8]=>0000010 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[5,6,7,4,3,2,8,1]=>[8,3,4,7,5,6,2,1]=>[5,6,7,2,3,4,8,1]=>0000011 [1,1,1,1,1,0,1,0,1,0,0,0,1,0,0,0]=>[5,6,7,4,3,8,2,1]=>[2,8,4,7,5,6,3,1]=>[5,6,7,3,4,8,1,2]=>0000011 [1,1,1,1,1,0,1,0,1,0,0,1,0,0,0,0]=>[5,6,7,4,8,3,2,1]=>[2,3,8,7,5,6,4,1]=>[5,6,7,4,8,1,2,3]=>0000011 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,4,3,2,1]=>[2,3,4,8,5,6,7,1]=>[5,6,7,8,1,2,3,4]=>0000001 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[5,6,8,7,4,3,2,1]=>[2,3,4,7,5,6,8,1]=>[5,6,8,1,2,3,4,7]=>0000001 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[5,7,6,4,3,2,1,8]=>[2,3,4,6,5,7,1,8]=>[5,7,1,2,3,4,6,8]=>0000010 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[5,7,6,4,3,2,8,1]=>[8,3,4,6,5,7,2,1]=>[5,7,2,3,4,6,8,1]=>0000011 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[5,7,6,4,3,8,2,1]=>[2,8,4,6,5,7,3,1]=>[5,7,3,4,6,8,1,2]=>0000011 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[5,7,6,4,8,3,2,1]=>[2,3,8,6,5,7,4,1]=>[5,7,4,6,8,1,2,3]=>0000011 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[5,7,6,8,4,3,2,1]=>[2,3,4,8,5,7,6,1]=>[5,7,6,8,1,2,3,4]=>0000011 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[5,7,8,6,4,3,2,1]=>[2,3,4,6,5,8,7,1]=>[5,7,8,1,2,3,4,6]=>0000001 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[5,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,1]=>[5,8,1,2,3,4,6,7]=>0000001 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,5,4,3,2,1,7,8]=>[2,3,4,5,6,1,7,8]=>[6,1,2,3,4,5,7,8]=>0000100 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>[2,3,4,5,6,1,8,7]=>[6,1,2,3,4,5,8,7]=>0000101 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,5,4,3,2,7,1,8]=>[7,3,4,5,6,2,1,8]=>[6,2,3,4,5,7,1,8]=>0000110 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>[8,3,4,5,6,2,7,1]=>[6,2,3,4,5,7,8,1]=>0000101 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]=>[7,3,4,5,6,2,8,1]=>[6,2,3,4,5,8,1,7]=>0000101 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[6,5,4,3,7,2,1,8]=>[2,7,4,5,6,3,1,8]=>[6,3,4,5,7,1,2,8]=>0000110 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[6,5,4,3,7,2,8,1]=>[8,7,4,5,6,3,2,1]=>[6,3,4,5,7,2,8,1]=>0000111 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[6,5,4,3,7,8,2,1]=>[2,8,4,5,6,3,7,1]=>[6,3,4,5,7,8,1,2]=>0000101 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[6,5,4,3,8,7,2,1]=>[2,7,4,5,6,3,8,1]=>[6,3,4,5,8,1,2,7]=>0000101 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[6,5,4,7,3,2,8,1]=>[8,3,7,5,6,4,2,1]=>[6,4,5,7,2,3,8,1]=>0000111 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[6,5,4,7,8,3,2,1]=>[2,3,8,5,6,4,7,1]=>[6,4,5,7,8,1,2,3]=>0000101 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>[6,5,4,8,7,3,2,1]=>[2,3,7,5,6,4,8,1]=>[6,4,5,8,1,2,3,7]=>0000101 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[6,5,7,4,3,2,1,8]=>[2,3,4,7,6,5,1,8]=>[6,5,7,1,2,3,4,8]=>0000110 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[6,5,7,4,8,3,2,1]=>[2,3,8,7,6,5,4,1]=>[6,5,7,4,8,1,2,3]=>0000111 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>[6,5,7,8,4,3,2,1]=>[2,3,4,8,6,5,7,1]=>[6,5,7,8,1,2,3,4]=>0000101 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[6,5,8,7,4,3,2,1]=>[2,3,4,7,6,5,8,1]=>[6,5,8,1,2,3,4,7]=>0000101 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[6,7,5,4,3,2,1,8]=>[2,3,4,5,7,6,1,8]=>[6,7,1,2,3,4,5,8]=>0000010 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[6,7,5,4,3,2,8,1]=>[8,3,4,5,7,6,2,1]=>[6,7,2,3,4,5,8,1]=>0000011 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>[6,7,5,4,8,3,2,1]=>[2,3,8,5,7,6,4,1]=>[6,7,4,5,8,1,2,3]=>0000011 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>[6,7,5,8,4,3,2,1]=>[2,3,4,8,7,6,5,1]=>[6,7,5,8,1,2,3,4]=>0000011 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,1]=>[6,7,8,1,2,3,4,5]=>0000001 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[6,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,1]=>[6,8,1,2,3,4,5,7]=>0000001 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]=>[7,1,2,3,4,5,6,8]=>0000010 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[8,3,4,5,6,7,2,1]=>[7,2,3,4,5,6,8,1]=>0000011 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[7,6,5,4,3,8,2,1]=>[2,8,4,5,6,7,3,1]=>[7,3,4,5,6,8,1,2]=>0000011 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[7,6,5,4,8,3,2,1]=>[2,3,8,5,6,7,4,1]=>[7,4,5,6,8,1,2,3]=>0000011 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[7,6,5,8,4,3,2,1]=>[2,3,4,8,6,7,5,1]=>[7,5,6,8,1,2,3,4]=>0000011 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[7,6,8,5,4,3,2,1]=>[2,3,4,5,8,7,6,1]=>[7,6,8,1,2,3,4,5]=>0000011 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,1]=>[7,8,1,2,3,4,5,6]=>0000001 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>0000001 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,1,9]=>[8,1,2,3,4,5,6,7,9]=>00000010 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,2]=>[1,9,2,3,4,5,6,7,8]=>00000001 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>[9,1,2,3,4,5,6,7,8,10]=>000000010 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[7,8,6,5,4,3,2,1,9]=>[2,3,4,5,6,8,7,1,9]=>[7,8,1,2,3,4,5,6,9]=>00000010 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,8,9,7,6,5,4,3,2]=>[1,3,4,5,6,7,9,8,2]=>[1,8,9,2,3,4,5,6,7]=>00000001 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,2,3,4,5,6,7,8,9]=>000000001 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,1,2,3,4,5,6,7,8,9,11]=>0000000010 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[8,9,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,9,8,1,10]=>[8,9,1,2,3,4,5,6,7,10]=>000000010 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[6,8,7,5,4,3,2,1,9]=>[2,3,4,5,7,6,8,1,9]=>[6,8,1,2,3,4,5,7,9]=>00000010 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,7,9,8,6,5,4,3,2]=>[1,3,4,5,6,8,7,9,2]=>[1,7,9,2,3,4,5,6,8]=>00000001 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,9,10,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,10,9,2]=>[1,9,10,2,3,4,5,6,7,8]=>000000001 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,11,2]=>[1,11,2,3,4,5,6,7,8,9,10]=>0000000001 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,8,7,6,5,4,3,1,9]=>[3,2,4,5,6,7,8,1,9]=>[2,8,1,3,4,5,6,7,9]=>00000010 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,6,5,4,3,2,1,9,8]=>[2,3,4,5,6,7,1,9,8]=>[7,1,2,3,4,5,6,9,8]=>00000101 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,3]=>[2,1,9,3,4,5,6,7,8]=>10000001 [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,9,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,9,2]=>[1,3,9,2,4,5,6,7,8]=>00000001 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,1,8,9]=>[7,1,2,3,4,5,6,8,9]=>00000100 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,8,7,6,5,4,3,2,9]=>[1,3,4,5,6,7,8,2,9]=>[1,8,2,3,4,5,6,7,9]=>00000010 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,3,4,5,6,7,8]=>00000001 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,5,4,3,2,1,10,9]=>[2,3,4,5,6,7,8,1,10,9]=>[8,1,2,3,4,5,6,7,10,9]=>000000101 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,9,10,3]=>[2,1,10,3,4,5,6,7,8,9]=>100000001 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,7,6,5,4,3,2,1,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>000000100 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,9,8,7,6,5,4,3,2,10]=>[1,3,4,5,6,7,8,9,2,10]=>[1,9,2,3,4,5,6,7,8,10]=>000000010 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,10,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,3,4,5,6,7,8,9]=>000000001 []=>[]=>[]=>[]=> [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,9,1]=>00000001 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,9,8,1]=>[8,2,3,4,5,6,7,9,1]=>[2,3,4,5,6,7,9,1,8]=>00000001 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,6,8,7,9,1]=>[9,2,3,4,5,6,8,7,1]=>[2,3,4,5,6,8,7,9,1]=>00000011 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,4,5,7,8,6,9,1]=>[9,2,3,4,5,8,7,6,1]=>[2,3,4,5,7,8,6,9,1]=>00000011 [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,9,8,7,6,5,4,1]=>[4,2,3,5,6,7,8,9,1]=>[2,3,9,1,4,5,6,7,8]=>00000001 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,1]=>[2,9,1,3,4,5,6,7,8]=>00000001 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,9,1]=>01000001 [1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,9,8,7,6,5,4,1]=>[4,3,2,5,6,7,8,9,1]=>[3,2,9,1,4,5,6,7,8]=>01000001 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,4,2,5,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]=>[3,4,2,5,6,7,8,9,1]=>00100001 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,8,2,9,1]=>[9,8,3,4,5,6,7,2,1]=>[3,4,5,6,7,8,2,9,1]=>00000011 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,2,1]=>[2,9,3,4,5,6,7,8,1]=>[3,4,5,6,7,8,9,1,2]=>00000001 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,9,8,7,6,5,4,2,1]=>[2,4,3,5,6,7,8,9,1]=>[3,9,1,2,4,5,6,7,8]=>00000001 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,9,1]=>[9,3,4,2,5,6,7,8,1]=>[4,2,3,5,6,7,8,9,1]=>00100001 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,8,9,2,1]=>[2,9,4,3,5,6,7,8,1]=>[4,3,5,6,7,8,9,1,2]=>00100001 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[4,5,3,6,7,8,9,2,1]=>[2,9,5,4,3,6,7,8,1]=>[4,5,3,6,7,8,9,1,2]=>00010001 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,9,3,2,1]=>[2,3,9,4,5,6,7,8,1]=>[4,5,6,7,8,9,1,2,3]=>00000001 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0]=>[5,4,3,6,7,8,9,2,1]=>[2,9,4,5,3,6,7,8,1]=>[5,3,4,6,7,8,9,1,2]=>00010001 [1,1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0,0]=>[5,4,6,7,8,9,3,2,1]=>[2,3,9,5,4,6,7,8,1]=>[5,4,6,7,8,9,1,2,3]=>00010001 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,6,4,7,3,8,2,9,1]=>[9,8,7,6,5,4,3,2,1]=>[5,6,4,7,3,8,2,9,1]=>00001111 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,9,4,3,2,1]=>[2,3,4,9,5,6,7,8,1]=>[5,6,7,8,9,1,2,3,4]=>00000001 [1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0]=>[5,9,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,9,1]=>[5,9,1,2,3,4,6,7,8]=>00000001 [1,1,1,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0]=>[6,5,7,8,9,4,3,2,1]=>[2,3,4,9,6,5,7,8,1]=>[6,5,7,8,9,1,2,3,4]=>00001001 [1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,5,4,3,2,1]=>[2,3,4,5,9,6,7,8,1]=>[6,7,8,9,1,2,3,4,5]=>00000001 [1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0]=>[6,7,9,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,9,1]=>[6,7,9,1,2,3,4,5,8]=>00000001 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[6,9,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,9,1]=>[6,9,1,2,3,4,5,7,8]=>00000001 [1,1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0]=>[7,6,8,9,5,4,3,2,1]=>[2,3,4,5,9,7,6,8,1]=>[7,6,8,9,1,2,3,4,5]=>00000101 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>[7,8,6,5,4,3,2,9,1]=>[9,3,4,5,6,8,7,2,1]=>[7,8,2,3,4,5,6,9,1]=>00000011 [1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,7,8,1]=>[7,8,9,1,2,3,4,5,6]=>00000001 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>[7,9,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,9,1]=>[7,9,1,2,3,4,5,6,8]=>00000001 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,7,6,5,4,3,2,9,1]=>[9,3,4,5,6,7,8,2,1]=>[8,2,3,4,5,6,7,9,1]=>00000011 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>[8,7,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,8,7,1]=>[8,7,9,1,2,3,4,5,6]=>00000011 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,8,1]=>[8,9,1,2,3,4,5,6,7]=>00000001 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]=>[9,1,2,3,4,5,6,7,8]=>00000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>00000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>00000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,9,7]=>00000001 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]=>[1,2,3,4,5,7,8,9,6]=>00000001 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]=>[1,2,3,4,6,7,8,9,5]=>00000001 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]=>[1,2,3,5,6,7,8,9,4]=>00000001 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]=>[1,2,4,5,6,7,8,9,3]=>00000001 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,9,2]=>00000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>000000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>000000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,7,8]=>00000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,9,10,8]=>000000001 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,8,7,9,6]=>00000011 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7]=>[1,2,3,4,5,6,8,9,10,7]=>000000001 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,9,7,6,8,5]=>[1,2,3,4,7,6,8,9,5]=>00000101 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6]=>[1,2,3,4,5,7,8,9,10,6]=>000000001 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,9,4]=>[1,2,3,9,6,5,7,8,4]=>[1,2,3,6,5,7,8,9,4]=>00001001 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5]=>[1,2,3,4,6,7,8,9,10,5]=>000000001 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,9,3]=>[1,2,9,5,4,6,7,8,3]=>[1,2,5,4,6,7,8,9,3]=>00010001 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,9,10,4]=>000000001 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,9,2]=>[1,9,4,3,5,6,7,8,2]=>[1,4,3,5,6,7,8,9,2]=>00100001 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,9,10,3]=>000000001 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,10,2]=>000000001 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,10,1]=>000000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>0000000000 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>0000000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,8,9]=>000000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,8,10,11,9]=>[1,2,3,4,5,6,7,8,11,10,9]=>[1,2,3,4,5,6,7,8,10,11,9]=>0000000001 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,5,8,9,7,6]=>[1,2,3,4,5,7,9,8,6]=>[1,2,3,4,5,8,9,6,7]=>00000001 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,6,7,8]=>00000001 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,1]=>[10,3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,10,1]=>010000001 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,2]=>[1,11,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,11,2]=>0000000001 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>0000000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,8,11,10,9]=>[1,2,3,4,5,6,7,8,10,11,9]=>[1,2,3,4,5,6,7,8,11,9,10]=>0000000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,6,10,9,8,7]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,7,8,9]=>000000001 [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,5,6,7,8]=>00000001 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,9,8,7,6]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,6,7,8,9]=>000000001 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,4,5,6,7,8,3,9,2]=>[1,9,8,4,5,6,7,3,2]=>[1,4,5,6,7,8,3,9,2]=>00000011 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,9,3,2]=>[1,3,9,4,5,6,7,8,2]=>[1,4,5,6,7,8,9,2,3]=>00000001 [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,4,5,6,7,8]=>00000001 [1,0,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[1,5,6,7,8,9,4,3,2]=>[1,3,4,9,5,6,7,8,2]=>[1,5,6,7,8,9,2,3,4]=>00000001 [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,10,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,5,6,7,8,9]=>000000001 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,4,5,6,7,8,9,10,3,2]=>[1,3,10,4,5,6,7,8,9,2]=>[1,4,5,6,7,8,9,10,2,3]=>000000001 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[3,4,5,6,7,8,9,2,10,1]=>[10,9,3,4,5,6,7,8,2,1]=>[3,4,5,6,7,8,9,2,10,1]=>000000011 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]=>00000010 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]=>00000100 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>00000101 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>00001000 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,6,5,8,7,9]=>[1,2,3,4,6,5,8,7,9]=>00001010 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>00010000 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8]=>[1,2,3,5,4,7,6,9,8]=>00010101 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>00100000 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,8,7,9]=>[1,2,4,3,6,5,8,7,9]=>[1,2,4,3,6,5,8,7,9]=>00101010 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>01000000 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]=>01000001 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,6,9,8,7]=>[1,3,2,4,5,6,8,9,7]=>[1,3,2,4,5,6,9,7,8]=>01000001 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]=>01010000 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>01010101 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]=>00100000 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[1,7,6,5,4,3,2,8,9]=>[1,3,4,5,6,7,2,8,9]=>[1,7,2,3,4,5,6,8,9]=>00000100 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[1,7,6,5,4,3,2,9,8]=>[1,3,4,5,6,7,2,9,8]=>[1,7,2,3,4,5,6,9,8]=>00000101 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>10000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>10000001 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9]=>10000010 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,5,6,9,8,7]=>[2,1,3,4,5,6,8,9,7]=>[2,1,3,4,5,6,9,7,8]=>10000001 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>10100000 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7,9]=>10101010 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,1,8,7,6,5,4,3,9]=>[2,1,4,5,6,7,8,3,9]=>[2,1,8,3,4,5,6,7,9]=>10000010 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>01000000 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,7,9,8]=>[2,3,1,4,5,6,7,9,8]=>[3,1,2,4,5,6,7,9,8]=>01000001 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,9,8]=>[3,1,2,5,4,7,6,9,8]=>01010101 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,1,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,4]=>[3,1,2,9,4,5,6,7,8]=>01000001 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>00100000 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,8,7,9]=>[2,3,4,1,6,5,8,7,9]=>[4,1,2,3,6,5,8,7,9]=>00101010 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,3,2,1,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,5]=>[4,1,2,3,9,5,6,7,8]=>00100001 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>00010000 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[5,4,3,2,1,7,6,8,9]=>[2,3,4,5,1,7,6,8,9]=>[5,1,2,3,4,7,6,8,9]=>00010100 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4,3,2,1,9,8,7,6]=>[2,3,4,5,1,7,8,9,6]=>[5,1,2,3,4,9,6,7,8]=>00010001 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>00001000 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,5,4,3,2,1,9,8,7]=>[2,3,4,5,6,1,8,9,7]=>[6,1,2,3,4,5,9,7,8]=>00001001 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>000000010 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>000000100 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>000000101 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>000001000 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>000010000 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>000100000 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,9,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>[1,2,3,5,4,7,6,9,8,10]=>000101010 [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,10,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,4,5,6,7,8,9]=>000000001 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>001000000 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9]=>[1,2,4,3,6,5,8,7,10,9]=>001010101 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>010000000 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>010101010 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>100000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>100000001 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]=>[2,1,4,3,5,6,7,8,9,10]=>101000000 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>101010101 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,4,5,6,3,8,9,10,7]=>[2,1,6,3,4,5,10,7,8,9]=>100010001 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,4,5,6,7,8,3,10,9]=>[2,1,8,3,4,5,6,7,10,9]=>100000101 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>010000000 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8,10]=>[3,1,2,5,4,7,6,9,8,10]=>010101010 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,1,10,9,8,7,6,5,4]=>[2,3,1,5,6,7,8,9,10,4]=>[3,1,2,10,4,5,6,7,8,9]=>010000001 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>001000000 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7,10,9]=>[2,3,4,1,6,5,8,7,10,9]=>[4,1,2,3,6,5,8,7,10,9]=>001010101 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,6,5,10,9,8,7]=>[2,3,4,1,6,5,8,9,10,7]=>[4,1,2,3,6,5,10,7,8,9]=>001010001 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,8,7,6,5,10,9]=>[2,3,4,1,6,7,8,5,10,9]=>[4,1,2,3,8,5,6,7,10,9]=>001000101 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,2,1,10,9,8,7,6,5]=>[2,3,4,1,6,7,8,9,10,5]=>[4,1,2,3,10,5,6,7,8,9]=>001000001 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>000100000 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1,10,9,8,7,6]=>[2,3,4,5,1,7,8,9,10,6]=>[5,1,2,3,4,10,6,7,8,9]=>000100001 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>000010000 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,5,4,3,2,1,10,9,8,7]=>[2,3,4,5,6,1,8,9,10,7]=>[6,1,2,3,4,5,10,7,8,9]=>000010001 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>000001000 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,6,5,4,3,2,1,10,9,8]=>[2,3,4,5,6,7,1,9,10,8]=>[7,1,2,3,4,5,6,10,8,9]=>000001001 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]=>[10,1,2,3,4,5,6,7,8,9]=>000000001 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>01000000 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>00100000 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>00010000 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>00001000 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>[2,3,4,5,6,7,1,8,9]=>00000100 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[2,3,4,5,6,7,8,1,9]=>00000010 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>010000000 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]=>00100000 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>000000010 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>1000000000 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,8,9,7]=>[2,1,3,4,5,6,9,8,7]=>[2,1,3,4,5,6,8,9,7]=>10000001 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,10,9,1]=>[9,2,3,4,5,6,7,8,10,1]=>[2,3,4,5,6,7,8,10,1,9]=>000000001 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,6,8,9,7]=>[1,3,2,4,5,6,9,8,7]=>[1,3,2,4,5,6,8,9,7]=>01000001 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,7,9,8]=>[3,2,1,4,5,6,7,9,8]=>[2,3,1,4,5,6,7,9,8]=>01000001 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[3,4,5,6,7,8,2,1,9]=>[2,8,3,4,5,6,7,1,9]=>[3,4,5,6,7,8,1,2,9]=>00000010 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,4,2,1,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>00100000 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,10,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,10,1]=>[2,10,1,3,4,5,6,7,8,9]=>000000001 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,1]=>[10,3,4,5,6,7,8,9,2,1]=>[9,2,3,4,5,6,7,8,10,1]=>000000011 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>[10,9,8,7,6,5,4,3,2,11,1]=>[11,3,4,5,6,7,8,9,10,2,1]=>[10,2,3,4,5,6,7,8,9,11,1]=>0000000011 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>[8,9,7,6,5,4,3,2,10,1]=>[10,3,4,5,6,7,9,8,2,1]=>[8,9,2,3,4,5,6,7,10,1]=>000000011 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>01100000 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[9,10,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,10,9,1]=>[9,10,1,2,3,4,5,6,7,8]=>000000001 [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[6,10,9,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,9,10,1]=>[6,10,1,2,3,4,5,7,8,9]=>000000001 [1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[5,10,9,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,9,10,1]=>[5,10,1,2,3,4,6,7,8,9]=>000000001 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>[10,11,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,11,10,1]=>[10,11,1,2,3,4,5,6,7,8,9]=>0000000001 [1,1,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,1,9,8,7,6,5,4]=>[3,2,1,5,6,7,8,9,4]=>[2,3,1,9,4,5,6,7,8]=>01000001 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,9,8,2]=>[1,8,3,4,5,6,7,9,2]=>[1,3,4,5,6,7,9,2,8]=>00000001 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,1,9,8]=>[7,2,3,4,5,6,1,9,8]=>[2,3,4,5,6,7,1,9,8]=>00000101 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,3]=>[2,1,9,4,5,6,7,8,3]=>[2,1,4,5,6,7,8,9,3]=>10000001 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[4,5,6,7,8,9,10,3,2,1]=>[2,3,10,4,5,6,7,8,9,1]=>[4,5,6,7,8,9,10,1,2,3]=>000000001 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0]=>[6,5,4,3,2,1,8,9,7]=>[2,3,4,5,6,1,9,8,7]=>[6,1,2,3,4,5,8,9,7]=>00001001 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[9,8,7,6,5,4,3,10,2,1]=>[2,10,4,5,6,7,8,9,3,1]=>[9,3,4,5,6,7,8,10,1,2]=>000000011 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8,9]=>[3,2,1,5,4,6,7,8,9]=>[2,3,1,5,4,6,7,8,9]=>01010000 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6,9,8]=>[3,2,1,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,9,8]=>01010101 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7,10,9]=>[3,2,4,1,6,5,8,7,10,9]=>[2,4,1,3,6,5,8,7,10,9]=>001010101 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,9,8,10]=>[3,2,1,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8,10]=>010101010 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,10,2,1]=>[2,10,3,4,5,6,7,8,9,1]=>[3,4,5,6,7,8,9,10,1,2]=>000000001 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[4,3,5,6,7,8,9,10,2,1]=>[2,10,4,3,5,6,7,8,9,1]=>[4,3,5,6,7,8,9,10,1,2]=>001000001 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,4,5,6,7,8,9,10,11,2,1]=>[2,11,3,4,5,6,7,8,9,10,1]=>[3,4,5,6,7,8,9,10,11,1,2]=>0000000001 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,6,7,5,8,4,9,3,10,2]=>000001111 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>000011110 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>[11,10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,1,2,3,4,5,6,7,8,9,10]=>0000000001 [1,1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[2,11,10,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,10,11,1]=>[2,11,1,3,4,5,6,7,8,9,10]=>0000000001 [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,9,8,7,6,5,3]=>[1,2,5,4,6,7,8,9,3]=>[1,2,4,9,3,5,6,7,8]=>00000001 [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,3,5,9,8,7,6,4]=>[1,2,3,6,5,7,8,9,4]=>[1,2,3,5,9,4,6,7,8]=>00000001 [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,4,6,9,8,7,5]=>[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,6,9,5,7,8]=>00000001 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,9,8,6]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,7,9,6,8]=>00000001 [1,1,1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,0]=>[5,6,7,8,9,10,4,3,2,1]=>[2,3,4,10,5,6,7,8,9,1]=>[5,6,7,8,9,10,1,2,3,4]=>000000001 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>00100000 [1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0]=>[8,9,10,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,10,8,9,1]=>[8,9,10,1,2,3,4,5,6,7]=>000000001 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>0000000010 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,4,2,5,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[3,4,2,5,1,6,7,8,9]=>00110000 [1,1,1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0,0,0]=>[6,7,8,9,10,5,4,3,2,1]=>[2,3,4,5,10,6,7,8,9,1]=>[6,7,8,9,10,1,2,3,4,5]=>000000001 [1,1,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0]=>[7,8,9,10,6,5,4,3,2,1]=>[2,3,4,5,6,10,7,8,9,1]=>[7,8,9,10,1,2,3,4,5,6]=>000000001 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,2,3,4,5,6,7,8,9,1,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>0000000010 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,6,1,8,9,7]=>[6,2,3,4,5,1,9,8,7]=>[2,3,4,5,6,1,8,9,7]=>00001001 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8,11,10]=>[1,3,2,5,4,7,6,9,8,11,10]=>[1,3,2,5,4,7,6,9,8,11,10]=>0101010101 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,4,2,1,6,5,8,7,10,9]=>[2,4,3,1,6,5,8,7,10,9]=>[3,4,1,2,6,5,8,7,10,9]=>001010101 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,8,7,9]=>[4,3,2,1,6,5,8,7,9]=>[3,2,4,1,6,5,8,7,9]=>01101010 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[3,2,4,1,6,5,8,7,10,9]=>011010101 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7,10,9]=>[6,3,2,5,4,1,8,7,10,9]=>[3,2,5,4,6,1,8,7,10,9]=>010110101 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,7,6,8,1,10,9]=>[8,3,2,5,4,7,6,1,10,9]=>[3,2,5,4,7,6,8,1,10,9]=>010101101 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,9,8,10,1]=>[10,3,2,5,4,7,6,9,8,1]=>[3,2,5,4,7,6,9,8,10,1]=>010101011 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,6,5,9,8,10,7]=>[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,9,8,10,7]=>101010011 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,9,8,10,5]=>[2,1,4,3,10,7,6,9,8,5]=>[2,1,4,3,7,6,9,8,10,5]=>101001011 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,9,8,10,3]=>[2,1,10,5,4,7,6,9,8,3]=>[2,1,5,4,7,6,9,8,10,3]=>100101011 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,10,8]=>[1,3,2,5,4,7,6,10,9,8]=>[1,3,2,5,4,7,6,9,10,8]=>010101001 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10]=>[2,4,1,3,5,6,7,8,9,10]=>001000000 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10]=>011000000 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,5,2,6,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[4,3,5,2,6,1,8,7,10,9]=>001110101 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[2,1,5,4,6,3,8,7,10,9]=>100110101 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[2,1,6,5,7,4,8,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[2,1,6,5,7,4,8,3,10,9]=>100011101 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,6,5,7,4,8,1,10,9]=>[8,3,2,7,6,5,4,1,10,9]=>[3,2,6,5,7,4,8,1,10,9]=>010011101 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,6,5,7,2,8,1,10,9]=>[8,7,4,3,6,5,2,1,10,9]=>[4,3,6,5,7,2,8,1,10,9]=>001011101 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,4,6,3,7,2,8,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[5,4,6,3,7,2,8,1,10,9]=>000111101 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,7,6,8,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,7,6,8,5,10,9]=>101001101 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,7,6,8,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[3,2,4,1,7,6,8,5,10,9]=>011001101 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[4,3,5,2,7,6,8,1,10,9]=>[8,5,4,3,2,7,6,1,10,9]=>[4,3,5,2,7,6,8,1,10,9]=>001101101 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,7,6,8,3,10,9]=>[2,1,8,5,4,7,6,3,10,9]=>[2,1,5,4,7,6,8,3,10,9]=>100101101 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,4,3,8,7,9,6,10,5]=>[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,8,7,9,6,10,5]=>101000111 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,4,1,8,7,9,6,10,5]=>[4,3,2,1,10,9,8,7,6,5]=>[3,2,4,1,8,7,9,6,10,5]=>011000111 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,8,7,9,6,10,1]=>[10,5,4,3,2,9,8,7,6,1]=>[4,3,5,2,8,7,9,6,10,1]=>001100111 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,5,4,8,7,9,6,10,3]=>[2,1,10,5,4,9,8,7,6,3]=>[2,1,5,4,8,7,9,6,10,3]=>100100111 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,5,4,8,7,9,6,10,1]=>[10,3,2,5,4,9,8,7,6,1]=>[3,2,5,4,8,7,9,6,10,1]=>010100111 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,6,5,8,7,9,2,10,1]=>[10,9,4,3,6,5,8,7,2,1]=>[4,3,6,5,8,7,9,2,10,1]=>001010111 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[5,4,6,3,8,7,9,2,10,1]=>[10,9,6,5,4,3,8,7,2,1]=>[5,4,6,3,8,7,9,2,10,1]=>000110111 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[4,3,7,6,8,5,9,2,10,1]=>[10,9,4,3,8,7,6,5,2,1]=>[4,3,7,6,8,5,9,2,10,1]=>001001111 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,4,7,6,8,3,9,2,10,1]=>[10,9,8,5,4,7,6,3,2,1]=>[5,4,7,6,8,3,9,2,10,1]=>000101111 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,5,8,7,9,4,10,3]=>[2,1,10,9,6,5,8,7,4,3]=>[2,1,6,5,8,7,9,4,10,3]=>100010111 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,6,5,8,7,9,4,10,1]=>[10,3,2,9,6,5,8,7,4,1]=>[3,2,6,5,8,7,9,4,10,1]=>010010111 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1]=>[6,5,7,4,8,3,9,2,10,1]=>000011111 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,7,6,8,5,9,4,10,3]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,7,6,8,5,9,4,10,3]=>100001111 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,7,6,8,5,9,4,10,1]=>[10,3,2,9,8,7,6,5,4,1]=>[3,2,7,6,8,5,9,4,10,1]=>010001111 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,6,5,9,8,10,7]=>[4,3,2,1,6,5,10,9,8,7]=>[3,2,4,1,6,5,9,8,10,7]=>011010011 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[4,3,5,2,6,1,9,8,10,7]=>[6,5,4,3,2,1,10,9,8,7]=>[4,3,5,2,6,1,9,8,10,7]=>001110011 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3,9,8,10,7]=>[2,1,6,5,4,3,10,9,8,7]=>[2,1,5,4,6,3,9,8,10,7]=>100110011 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,5,4,6,1,9,8,10,7]=>[6,3,2,5,4,1,10,9,8,7]=>[3,2,5,4,6,1,9,8,10,7]=>010110011 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[2,1,6,5,7,4,9,8,10,3]=>[2,1,10,7,6,5,4,9,8,3]=>[2,1,6,5,7,4,9,8,10,3]=>100011011 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[3,2,6,5,7,4,9,8,10,1]=>[10,3,2,7,6,5,4,9,8,1]=>[3,2,6,5,7,4,9,8,10,1]=>010011011 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,3,6,5,7,2,9,8,10,1]=>[10,7,4,3,6,5,2,9,8,1]=>[4,3,6,5,7,2,9,8,10,1]=>001011011 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[5,4,6,3,7,2,9,8,10,1]=>[10,7,6,5,4,3,2,9,8,1]=>[5,4,6,3,7,2,9,8,10,1]=>000111011 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,9,8,10,5]=>[4,3,2,1,10,7,6,9,8,5]=>[3,2,4,1,7,6,9,8,10,5]=>011001011 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[4,3,5,2,7,6,9,8,10,1]=>[10,5,4,3,2,7,6,9,8,1]=>[4,3,5,2,7,6,9,8,10,1]=>001101011 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>10101010101 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[3,2,4,1,6,5,8,7,10,9,12,11]=>01101010101 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,5,2,6,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[4,3,5,2,6,1,8,7,10,9,12,11]=>00111010101 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,5,4,6,3,8,7,10,9,12,11]=>10011010101 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7,10,9,12,11]=>[6,3,2,5,4,1,8,7,10,9,12,11]=>[3,2,5,4,6,1,8,7,10,9,12,11]=>01011010101 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,6,5,7,4,8,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,6,5,7,4,8,3,10,9,12,11]=>10001110101 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,6,5,7,4,8,1,10,9,12,11]=>[8,3,2,7,6,5,4,1,10,9,12,11]=>[3,2,6,5,7,4,8,1,10,9,12,11]=>01001110101 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,6,5,7,2,8,1,10,9,12,11]=>[8,7,4,3,6,5,2,1,10,9,12,11]=>[4,3,6,5,7,2,8,1,10,9,12,11]=>00101110101 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[5,4,6,3,7,2,8,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[5,4,6,3,7,2,8,1,10,9,12,11]=>00011110101 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,7,6,8,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,7,6,8,5,10,9,12,11]=>10100110101 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,7,6,8,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[3,2,4,1,7,6,8,5,10,9,12,11]=>01100110101 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,5,2,7,6,8,1,10,9,12,11]=>[8,5,4,3,2,7,6,1,10,9,12,11]=>[4,3,5,2,7,6,8,1,10,9,12,11]=>00110110101 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,5,4,7,6,8,3,10,9,12,11]=>[2,1,8,5,4,7,6,3,10,9,12,11]=>[2,1,5,4,7,6,8,3,10,9,12,11]=>10010110101 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,5,4,7,6,8,1,10,9,12,11]=>[8,3,2,5,4,7,6,1,10,9,12,11]=>[3,2,5,4,7,6,8,1,10,9,12,11]=>01010110101 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,8,7,9,6,10,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,8,7,9,6,10,5,12,11]=>10100011101 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,8,7,9,6,10,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[3,2,4,1,8,7,9,6,10,5,12,11]=>01100011101 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,5,2,8,7,9,6,10,1,12,11]=>[10,5,4,3,2,9,8,7,6,1,12,11]=>[4,3,5,2,8,7,9,6,10,1,12,11]=>00110011101 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,8,7,9,6,10,3,12,11]=>[2,1,10,5,4,9,8,7,6,3,12,11]=>[2,1,5,4,8,7,9,6,10,3,12,11]=>10010011101 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,8,7,9,6,10,1,12,11]=>[10,3,2,5,4,9,8,7,6,1,12,11]=>[3,2,5,4,8,7,9,6,10,1,12,11]=>01010011101 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,6,5,8,7,9,2,10,1,12,11]=>[10,9,4,3,6,5,8,7,2,1,12,11]=>[4,3,6,5,8,7,9,2,10,1,12,11]=>00101011101 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,4,6,3,8,7,9,2,10,1,12,11]=>[10,9,6,5,4,3,8,7,2,1,12,11]=>[5,4,6,3,8,7,9,2,10,1,12,11]=>00011011101 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[4,3,7,6,8,5,9,2,10,1,12,11]=>[10,9,4,3,8,7,6,5,2,1,12,11]=>[4,3,7,6,8,5,9,2,10,1,12,11]=>00100111101 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,4,7,6,8,3,9,2,10,1,12,11]=>[10,9,8,5,4,7,6,3,2,1,12,11]=>[5,4,7,6,8,3,9,2,10,1,12,11]=>00010111101 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[2,1,6,5,8,7,9,4,10,3,12,11]=>[2,1,10,9,6,5,8,7,4,3,12,11]=>[2,1,6,5,8,7,9,4,10,3,12,11]=>10001011101 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,6,5,8,7,9,4,10,1,12,11]=>[10,3,2,9,6,5,8,7,4,1,12,11]=>[3,2,6,5,8,7,9,4,10,1,12,11]=>01001011101 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[6,5,7,4,8,3,9,2,10,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[6,5,7,4,8,3,9,2,10,1,12,11]=>00001111101 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[2,1,7,6,8,5,9,4,10,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,7,6,8,5,9,4,10,3,12,11]=>10000111101 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[3,2,7,6,8,5,9,4,10,1,12,11]=>[10,3,2,9,8,7,6,5,4,1,12,11]=>[3,2,7,6,8,5,9,4,10,1,12,11]=>01000111101 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,9,8,10,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,9,8,10,7,12,11]=>10101001101 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,9,8,10,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[3,2,4,1,6,5,9,8,10,7,12,11]=>01101001101 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[4,3,5,2,6,1,9,8,10,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[4,3,5,2,6,1,9,8,10,7,12,11]=>00111001101 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,9,8,10,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,5,4,6,3,9,8,10,7,12,11]=>10011001101 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,9,8,10,7,12,11]=>[6,3,2,5,4,1,10,9,8,7,12,11]=>[3,2,5,4,6,1,9,8,10,7,12,11]=>01011001101 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,6,5,7,4,9,8,10,3,12,11]=>[2,1,10,7,6,5,4,9,8,3,12,11]=>[2,1,6,5,7,4,9,8,10,3,12,11]=>10001101101 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,6,5,7,4,9,8,10,1,12,11]=>[10,3,2,7,6,5,4,9,8,1,12,11]=>[3,2,6,5,7,4,9,8,10,1,12,11]=>01001101101 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[4,3,6,5,7,2,9,8,10,1,12,11]=>[10,7,4,3,6,5,2,9,8,1,12,11]=>[4,3,6,5,7,2,9,8,10,1,12,11]=>00101101101 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[5,4,6,3,7,2,9,8,10,1,12,11]=>[10,7,6,5,4,3,2,9,8,1,12,11]=>[5,4,6,3,7,2,9,8,10,1,12,11]=>00011101101 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,4,3,7,6,9,8,10,5,12,11]=>[2,1,4,3,10,7,6,9,8,5,12,11]=>[2,1,4,3,7,6,9,8,10,5,12,11]=>10100101101 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,7,6,9,8,10,5,12,11]=>[4,3,2,1,10,7,6,9,8,5,12,11]=>[3,2,4,1,7,6,9,8,10,5,12,11]=>01100101101 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[4,3,5,2,7,6,9,8,10,1,12,11]=>[10,5,4,3,2,7,6,9,8,1,12,11]=>[4,3,5,2,7,6,9,8,10,1,12,11]=>00110101101 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,7,6,9,8,10,3,12,11]=>[2,1,10,5,4,7,6,9,8,3,12,11]=>[2,1,5,4,7,6,9,8,10,3,12,11]=>10010101101 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,7,6,9,8,10,1,12,11]=>[10,3,2,5,4,7,6,9,8,1,12,11]=>[3,2,5,4,7,6,9,8,10,1,12,11]=>01010101101 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,4,3,6,5,10,9,11,8,12,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,10,9,11,8,12,7]=>10101000111 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,4,1,6,5,10,9,11,8,12,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[3,2,4,1,6,5,10,9,11,8,12,7]=>01101000111 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,6,1,10,9,11,8,12,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[4,3,5,2,6,1,10,9,11,8,12,7]=>00111000111 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,5,4,6,3,10,9,11,8,12,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,5,4,6,3,10,9,11,8,12,7]=>10011000111 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,5,4,6,1,10,9,11,8,12,7]=>[6,3,2,5,4,1,12,11,10,9,8,7]=>[3,2,5,4,6,1,10,9,11,8,12,7]=>01011000111 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,5,7,4,10,9,11,8,12,3]=>[2,1,12,7,6,5,4,11,10,9,8,3]=>[2,1,6,5,7,4,10,9,11,8,12,3]=>10001100111 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,6,5,7,4,10,9,11,8,12,1]=>[12,3,2,7,6,5,4,11,10,9,8,1]=>[3,2,6,5,7,4,10,9,11,8,12,1]=>01001100111 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,6,5,7,2,10,9,11,8,12,1]=>[12,7,4,3,6,5,2,11,10,9,8,1]=>[4,3,6,5,7,2,10,9,11,8,12,1]=>00101100111 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[5,4,6,3,7,2,10,9,11,8,12,1]=>[12,7,6,5,4,3,2,11,10,9,8,1]=>[5,4,6,3,7,2,10,9,11,8,12,1]=>00011100111 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,4,3,7,6,10,9,11,8,12,5]=>[2,1,4,3,12,7,6,11,10,9,8,5]=>[2,1,4,3,7,6,10,9,11,8,12,5]=>10100100111 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,4,1,7,6,10,9,11,8,12,5]=>[4,3,2,1,12,7,6,11,10,9,8,5]=>[3,2,4,1,7,6,10,9,11,8,12,5]=>01100100111 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,7,6,10,9,11,8,12,1]=>[12,5,4,3,2,7,6,11,10,9,8,1]=>[4,3,5,2,7,6,10,9,11,8,12,1]=>00110100111 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,5,4,7,6,10,9,11,8,12,3]=>[2,1,12,5,4,7,6,11,10,9,8,3]=>[2,1,5,4,7,6,10,9,11,8,12,3]=>10010100111 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0]=>[3,2,5,4,7,6,10,9,11,8,12,1]=>[12,3,2,5,4,7,6,11,10,9,8,1]=>[3,2,5,4,7,6,10,9,11,8,12,1]=>01010100111 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[2,1,6,5,8,7,10,9,11,4,12,3]=>[2,1,12,11,6,5,8,7,10,9,4,3]=>[2,1,6,5,8,7,10,9,11,4,12,3]=>10001010111 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,6,5,8,7,10,9,11,4,12,1]=>[12,3,2,11,6,5,8,7,10,9,4,1]=>[3,2,6,5,8,7,10,9,11,4,12,1]=>01001010111 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[6,5,7,4,8,3,10,9,11,2,12,1]=>[12,11,8,7,6,5,4,3,10,9,2,1]=>[6,5,7,4,8,3,10,9,11,2,12,1]=>00001110111 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[2,1,7,6,8,5,10,9,11,4,12,3]=>[2,1,12,11,8,7,6,5,10,9,4,3]=>[2,1,7,6,8,5,10,9,11,4,12,3]=>10000110111 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,7,6,8,5,10,9,11,4,12,1]=>[12,3,2,11,8,7,6,5,10,9,4,1]=>[3,2,7,6,8,5,10,9,11,4,12,1]=>01000110111 [1,1,0,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,6,5,9,8,10,7,11,4,12,3]=>[2,1,12,11,6,5,10,9,8,7,4,3]=>[2,1,6,5,9,8,10,7,11,4,12,3]=>10001001111 [1,1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,6,5,9,8,10,7,11,4,12,1]=>[12,3,2,11,6,5,10,9,8,7,4,1]=>[3,2,6,5,9,8,10,7,11,4,12,1]=>01001001111 [1,1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[6,5,7,4,9,8,10,3,11,2,12,1]=>[12,11,10,7,6,5,4,9,8,3,2,1]=>[6,5,7,4,9,8,10,3,11,2,12,1]=>00001101111 [1,1,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,7,6,9,8,10,5,11,4,12,3]=>[2,1,12,11,10,7,6,9,8,5,4,3]=>[2,1,7,6,9,8,10,5,11,4,12,3]=>10000101111 [1,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,7,6,9,8,10,5,11,4,12,1]=>[12,3,2,11,10,7,6,9,8,5,4,1]=>[3,2,7,6,9,8,10,5,11,4,12,1]=>01000101111 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,6,5,8,7,10,9,11,2,12,1]=>[12,11,4,3,6,5,8,7,10,9,2,1]=>[4,3,6,5,8,7,10,9,11,2,12,1]=>00101010111 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,7,6,8,5,10,9,11,2,12,1]=>[12,11,4,3,8,7,6,5,10,9,2,1]=>[4,3,7,6,8,5,10,9,11,2,12,1]=>00100110111 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[5,4,6,3,8,7,10,9,11,2,12,1]=>[12,11,6,5,4,3,8,7,10,9,2,1]=>[5,4,6,3,8,7,10,9,11,2,12,1]=>00011010111 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[5,4,7,6,8,3,10,9,11,2,12,1]=>[12,11,8,5,4,7,6,3,10,9,2,1]=>[5,4,7,6,8,3,10,9,11,2,12,1]=>00010110111 [1,1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[6,5,8,7,9,4,10,3,11,2,12,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[6,5,8,7,9,4,10,3,11,2,12,1]=>00001011111 [1,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>00000111111 [1,1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[4,3,6,5,9,8,10,7,11,2,12,1]=>[12,11,4,3,6,5,10,9,8,7,2,1]=>[4,3,6,5,9,8,10,7,11,2,12,1]=>00101001111 [1,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[4,3,7,6,9,8,10,5,11,2,12,1]=>[12,11,4,3,10,7,6,9,8,5,2,1]=>[4,3,7,6,9,8,10,5,11,2,12,1]=>00100101111 [1,1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,4,6,3,9,8,10,7,11,2,12,1]=>[12,11,6,5,4,3,10,9,8,7,2,1]=>[5,4,6,3,9,8,10,7,11,2,12,1]=>00011001111 [1,1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,4,7,6,9,8,10,3,11,2,12,1]=>[12,11,10,5,4,7,6,9,8,3,2,1]=>[5,4,7,6,9,8,10,3,11,2,12,1]=>00010101111 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[2,1,4,3,8,7,10,9,11,6,12,5]=>[2,1,4,3,12,11,8,7,10,9,6,5]=>[2,1,4,3,8,7,10,9,11,6,12,5]=>10100010111 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,4,1,8,7,10,9,11,6,12,5]=>[4,3,2,1,12,11,8,7,10,9,6,5]=>[3,2,4,1,8,7,10,9,11,6,12,5]=>01100010111 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,8,7,10,9,11,6,12,1]=>[12,5,4,3,2,11,8,7,10,9,6,1]=>[4,3,5,2,8,7,10,9,11,6,12,1]=>00110010111 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[2,1,5,4,8,7,10,9,11,6,12,3]=>[2,1,12,5,4,11,8,7,10,9,6,3]=>[2,1,5,4,8,7,10,9,11,6,12,3]=>10010010111 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[3,2,5,4,8,7,10,9,11,6,12,1]=>[12,3,2,5,4,11,8,7,10,9,6,1]=>[3,2,5,4,8,7,10,9,11,6,12,1]=>01010010111 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,8,7,9,6,10,5,11,4,12,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,8,7,9,6,10,5,11,4,12,3]=>10000011111 [1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,8,7,9,6,10,5,11,4,12,1]=>[12,3,2,11,10,9,8,7,6,5,4,1]=>[3,2,8,7,9,6,10,5,11,4,12,1]=>01000011111 [1,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[4,3,8,7,9,6,10,5,11,2,12,1]=>[12,11,4,3,10,9,8,7,6,5,2,1]=>[4,3,8,7,9,6,10,5,11,2,12,1]=>00100011111 [1,1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>[5,4,8,7,9,6,10,3,11,2,12,1]=>[12,11,10,5,4,9,8,7,6,3,2,1]=>[5,4,8,7,9,6,10,3,11,2,12,1]=>00010011111 [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,4,3,9,8,10,7,11,6,12,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,9,8,10,7,11,6,12,5]=>10100001111 [1,1,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,4,1,9,8,10,7,11,6,12,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[3,2,4,1,9,8,10,7,11,6,12,5]=>01100001111 [1,1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[4,3,5,2,9,8,10,7,11,6,12,1]=>[12,5,4,3,2,11,10,9,8,7,6,1]=>[4,3,5,2,9,8,10,7,11,6,12,1]=>00110001111 [1,1,0,0,1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[2,1,5,4,9,8,10,7,11,6,12,3]=>[2,1,12,5,4,11,10,9,8,7,6,3]=>[2,1,5,4,9,8,10,7,11,6,12,3]=>10010001111 [1,1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[3,2,5,4,9,8,10,7,11,6,12,1]=>[12,3,2,5,4,11,10,9,8,7,6,1]=>[3,2,5,4,9,8,10,7,11,6,12,1]=>01010001111 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,6,5,8,7,11,10,12,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,11,10,12,9]=>10101010011 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,6,5,8,7,11,10,12,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[3,2,4,1,6,5,8,7,11,10,12,9]=>01101010011 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[4,3,5,2,6,1,8,7,11,10,12,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[4,3,5,2,6,1,8,7,11,10,12,9]=>00111010011 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3,8,7,11,10,12,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,5,4,6,3,8,7,11,10,12,9]=>10011010011 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,5,4,6,1,8,7,11,10,12,9]=>[6,3,2,5,4,1,8,7,12,11,10,9]=>[3,2,5,4,6,1,8,7,11,10,12,9]=>01011010011 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,6,5,7,4,8,3,11,10,12,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,6,5,7,4,8,3,11,10,12,9]=>10001110011 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,6,5,7,4,8,1,11,10,12,9]=>[8,3,2,7,6,5,4,1,12,11,10,9]=>[3,2,6,5,7,4,8,1,11,10,12,9]=>01001110011 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[4,3,6,5,7,2,8,1,11,10,12,9]=>[8,7,4,3,6,5,2,1,12,11,10,9]=>[4,3,6,5,7,2,8,1,11,10,12,9]=>00101110011 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[5,4,6,3,7,2,8,1,11,10,12,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[5,4,6,3,7,2,8,1,11,10,12,9]=>00011110011 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5,11,10,12,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,7,6,8,5,11,10,12,9]=>10100110011 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5,11,10,12,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[3,2,4,1,7,6,8,5,11,10,12,9]=>01100110011 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[4,3,5,2,7,6,8,1,11,10,12,9]=>[8,5,4,3,2,7,6,1,12,11,10,9]=>[4,3,5,2,7,6,8,1,11,10,12,9]=>00110110011 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3,11,10,12,9]=>[2,1,8,5,4,7,6,3,12,11,10,9]=>[2,1,5,4,7,6,8,3,11,10,12,9]=>10010110011 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1,11,10,12,9]=>[8,3,2,5,4,7,6,1,12,11,10,9]=>[3,2,5,4,7,6,8,1,11,10,12,9]=>01010110011 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,3,8,7,9,6,11,10,12,5]=>[2,1,4,3,12,9,8,7,6,11,10,5]=>[2,1,4,3,8,7,9,6,11,10,12,5]=>10100011011 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[3,2,4,1,8,7,9,6,11,10,12,5]=>[4,3,2,1,12,9,8,7,6,11,10,5]=>[3,2,4,1,8,7,9,6,11,10,12,5]=>01100011011 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,3,5,2,8,7,9,6,11,10,12,1]=>[12,5,4,3,2,9,8,7,6,11,10,1]=>[4,3,5,2,8,7,9,6,11,10,12,1]=>00110011011 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,8,7,9,6,11,10,12,3]=>[2,1,12,5,4,9,8,7,6,11,10,3]=>[2,1,5,4,8,7,9,6,11,10,12,3]=>10010011011 [1,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,8,7,9,6,11,10,12,1]=>[12,3,2,5,4,9,8,7,6,11,10,1]=>[3,2,5,4,8,7,9,6,11,10,12,1]=>01010011011 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,3,6,5,8,7,9,2,11,10,12,1]=>[12,9,4,3,6,5,8,7,2,11,10,1]=>[4,3,6,5,8,7,9,2,11,10,12,1]=>00101011011 [1,1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[5,4,6,3,8,7,9,2,11,10,12,1]=>[12,9,6,5,4,3,8,7,2,11,10,1]=>[5,4,6,3,8,7,9,2,11,10,12,1]=>00011011011 [1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[4,3,7,6,8,5,9,2,11,10,12,1]=>[12,9,4,3,8,7,6,5,2,11,10,1]=>[4,3,7,6,8,5,9,2,11,10,12,1]=>00100111011 [1,1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[5,4,7,6,8,3,9,2,11,10,12,1]=>[12,9,8,5,4,7,6,3,2,11,10,1]=>[5,4,7,6,8,3,9,2,11,10,12,1]=>00010111011 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[2,1,6,5,8,7,9,4,11,10,12,3]=>[2,1,12,9,6,5,8,7,4,11,10,3]=>[2,1,6,5,8,7,9,4,11,10,12,3]=>10001011011 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[3,2,6,5,8,7,9,4,11,10,12,1]=>[12,3,2,9,6,5,8,7,4,11,10,1]=>[3,2,6,5,8,7,9,4,11,10,12,1]=>01001011011 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[6,5,7,4,8,3,9,2,11,10,12,1]=>[12,9,8,7,6,5,4,3,2,11,10,1]=>[6,5,7,4,8,3,9,2,11,10,12,1]=>00001111011 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[2,1,7,6,8,5,9,4,11,10,12,3]=>[2,1,12,9,8,7,6,5,4,11,10,3]=>[2,1,7,6,8,5,9,4,11,10,12,3]=>10000111011 [1,1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[3,2,7,6,8,5,9,4,11,10,12,1]=>[12,3,2,9,8,7,6,5,4,11,10,1]=>[3,2,7,6,8,5,9,4,11,10,12,1]=>01000111011 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,3,6,5,9,8,11,10,12,7]=>[2,1,4,3,6,5,12,9,8,11,10,7]=>[2,1,4,3,6,5,9,8,11,10,12,7]=>10101001011 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,4,1,6,5,9,8,11,10,12,7]=>[4,3,2,1,6,5,12,9,8,11,10,7]=>[3,2,4,1,6,5,9,8,11,10,12,7]=>01101001011 [1,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[4,3,5,2,6,1,9,8,11,10,12,7]=>[6,5,4,3,2,1,12,9,8,11,10,7]=>[4,3,5,2,6,1,9,8,11,10,12,7]=>00111001011 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,6,3,9,8,11,10,12,7]=>[2,1,6,5,4,3,12,9,8,11,10,7]=>[2,1,5,4,6,3,9,8,11,10,12,7]=>10011001011 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1,9,8,11,10,12,7]=>[6,3,2,5,4,1,12,9,8,11,10,7]=>[3,2,5,4,6,1,9,8,11,10,12,7]=>01011001011 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,6,5,7,4,9,8,11,10,12,3]=>[2,1,12,7,6,5,4,9,8,11,10,3]=>[2,1,6,5,7,4,9,8,11,10,12,3]=>10001101011 [1,1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,6,5,7,4,9,8,11,10,12,1]=>[12,3,2,7,6,5,4,9,8,11,10,1]=>[3,2,6,5,7,4,9,8,11,10,12,1]=>01001101011 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[4,3,6,5,7,2,9,8,11,10,12,1]=>[12,7,4,3,6,5,2,9,8,11,10,1]=>[4,3,6,5,7,2,9,8,11,10,12,1]=>00101101011 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[5,4,6,3,7,2,9,8,11,10,12,1]=>[12,7,6,5,4,3,2,9,8,11,10,1]=>[5,4,6,3,7,2,9,8,11,10,12,1]=>00011101011 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,9,8,11,10,12,5]=>[2,1,4,3,12,7,6,9,8,11,10,5]=>[2,1,4,3,7,6,9,8,11,10,12,5]=>10100101011 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,9,8,11,10,12,5]=>[4,3,2,1,12,7,6,9,8,11,10,5]=>[3,2,4,1,7,6,9,8,11,10,12,5]=>01100101011 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[4,3,5,2,7,6,9,8,11,10,12,1]=>[12,5,4,3,2,7,6,9,8,11,10,1]=>[4,3,5,2,7,6,9,8,11,10,12,1]=>00110101011 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,9,8,11,10,12,3]=>[2,1,12,5,4,7,6,9,8,11,10,3]=>[2,1,5,4,7,6,9,8,11,10,12,3]=>10010101011 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,9,8,11,10,12,1]=>[12,3,2,5,4,7,6,9,8,11,10,1]=>[3,2,5,4,7,6,9,8,11,10,12,1]=>01010101011 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[2,3,4,5,6,7,8,9,10,1,12,11]=>[10,1,2,3,4,5,6,7,8,9,12,11]=>00000000101 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,5,8,9,10,7]=>[4,2,3,1,6,5,10,8,9,7]=>[2,3,4,1,6,5,8,9,10,7]=>001010001 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>[5,4,6,3,7,2,8,1,9]=>[8,7,6,5,4,3,2,1,9]=>[5,4,6,3,7,2,8,1,9]=>00011110 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[1,6,5,7,4,8,3,9,2]=>[1,9,8,7,6,5,4,3,2]=>[1,6,5,7,4,8,3,9,2]=>00001111 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,5,8,9,10,7]=>[2,1,4,3,6,5,10,8,9,7]=>[2,1,4,3,6,5,8,9,10,7]=>101010001 [1,1,0,0,1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[2,1,7,8,9,10,6,5,4,3]=>[2,1,4,5,6,10,7,8,9,3]=>[2,1,7,8,9,10,3,4,5,6]=>100000001 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[3,4,2,1,6,5,9,10,8,7]=>[2,4,3,1,6,5,8,10,9,7]=>[3,4,1,2,6,5,9,10,7,8]=>001010001 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6,9,8]=>[1,5,3,4,2,7,6,9,8]=>[1,3,4,5,2,7,6,9,8]=>00010101 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0]=>[5,6,4,7,3,8,2,10,9,1]=>[9,8,7,6,5,4,3,2,10,1]=>[5,6,4,7,3,8,2,10,1,9]=>000011101 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[4,5,3,6,2,7,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[4,5,3,6,2,7,1,8,9]=>00011100 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7,10,9]=>[4,2,3,1,6,5,8,7,10,9]=>[2,3,4,1,6,5,8,7,10,9]=>001010101