=>

[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]=>10 [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]=>010 [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]=>010 [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[4,3,2,1]=>[3,2,4,1]=>101 [1,1,1,0,1,0,0,0]=>[3,4,2,1]=>[2,4,3,1]=>[3,4,1,2]=>010 [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[2,3,4,1]=>[4,1,2,3]=>100 [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]=>0010 [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]=>0010 [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]=>0100 [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]=>0101 [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]=>0010 [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]=>0100 [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]=>1010 [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]=>0010 [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]=>0100 [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]=>0101 [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]=>0010 [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]=>0100 [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]=>1000 [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]=>1001 [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]=>1010 [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]=>1001 [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]=>1010 [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]=>0100 [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]=>0101 [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]=>0010 [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]=>0100 [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]=>1000 [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]=>1001 [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]=>1010 [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]=>0100 [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]=>1000 [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]=>00010 [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]=>00010 [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]=>00100 [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]=>00101 [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]=>00010 [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]=>00100 [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]=>01010 [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]=>00010 [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]=>00100 [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]=>00101 [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]=>00010 [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]=>00100 [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]=>01000 [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]=>01001 [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]=>01010 [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]=>01001 [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]=>01010 [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]=>00100 [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]=>00101 [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]=>00010 [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]=>00100 [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]=>01000 [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]=>01001 [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]=>01010 [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]=>00100 [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]=>01000 [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]=>10010 [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]=>10010 [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]=>10100 [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]=>10101 [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]=>10010 [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]=>10100 [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]=>01010 [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]=>00010 [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]=>00100 [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]=>00101 [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]=>00010 [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]=>00100 [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]=>01000 [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]=>01001 [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]=>01010 [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]=>01001 [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]=>01010 [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]=>00100 [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]=>00101 [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]=>00010 [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]=>00100 [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]=>01000 [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]=>01001 [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]=>01010 [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]=>00100 [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]=>01000 [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]=>10000 [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]=>10001 [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]=>10010 [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]=>10001 [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]=>10010 [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]=>10100 [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]=>10101 [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]=>10010 [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]=>10001 [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]=>10010 [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]=>10100 [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]=>10101 [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]=>10010 [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]=>10100 [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]=>01000 [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]=>01001 [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]=>01010 [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]=>01001 [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]=>01010 [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]=>00100 [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]=>00101 [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]=>00010 [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]=>00100 [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]=>01000 [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]=>01001 [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]=>01010 [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]=>00100 [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]=>01000 [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]=>10000 [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]=>10001 [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]=>10010 [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]=>10001 [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]=>10010 [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]=>10100 [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]=>10101 [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]=>10010 [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]=>10100 [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]=>01000 [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]=>01001 [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]=>01010 [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]=>00100 [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]=>01000 [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]=>10000 [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]=>10001 [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]=>10010 [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]=>10100 [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]=>01000 [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]=>10000 [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]=>000010 [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]=>000010 [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]=>000100 [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]=>000101 [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]=>000010 [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]=>000100 [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]=>001010 [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]=>000010 [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]=>000100 [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]=>000101 [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]=>000010 [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]=>000100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>000101 [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]=>000010 [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]=>000100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>001000 [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]=>010010 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010100 [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]=>001010 [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]=>000010 [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]=>000100 [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]=>000101 [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]=>000010 [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]=>000100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>000101 [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]=>000010 [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]=>000100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>001000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>000101 [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]=>000010 [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]=>000100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>001000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>001000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>010000 [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]=>100010 [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]=>100010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100100 [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]=>101010 [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]=>100010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100100 [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]=>101000 [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]=>101001 [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]=>101010 [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]=>101001 [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]=>101010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100100 [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]=>101000 [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]=>101001 [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]=>101010 [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]=>100100 [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]=>101000 [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]=>010010 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010100 [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]=>001010 [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]=>000010 [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]=>000100 [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]=>000101 [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]=>000010 [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]=>000100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>000101 [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]=>000010 [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]=>000100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>001000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>000101 [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]=>000010 [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]=>000100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>001000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>001000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>010000 [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]=>100000 [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]=>100001 [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]=>100010 [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]=>100001 [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]=>100010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100001 [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]=>100010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100100 [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]=>101000 [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]=>101001 [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]=>101010 [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]=>101001 [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]=>101010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100001 [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]=>100010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100100 [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]=>101000 [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]=>101001 [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]=>101010 [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]=>101001 [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]=>101010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100100 [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]=>101000 [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]=>101001 [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]=>101010 [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]=>100100 [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]=>101000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>000101 [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]=>000010 [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]=>000100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>001000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>001000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>010000 [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]=>100000 [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]=>100001 [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]=>100010 [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]=>100001 [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]=>100010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100001 [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]=>100010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100100 [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]=>101000 [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]=>101001 [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]=>101010 [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]=>101001 [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]=>101010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100100 [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]=>101000 [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]=>101001 [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]=>101010 [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]=>100100 [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]=>101000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>010101 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>001001 [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]=>001010 [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]=>000100 [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]=>001000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>010000 [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]=>100000 [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]=>100001 [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]=>100010 [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]=>100001 [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]=>100010 [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]=>100100 [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]=>100101 [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]=>100010 [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]=>100100 [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]=>101000 [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]=>101001 [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]=>101010 [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]=>100100 [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]=>101000 [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]=>010000 [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]=>010001 [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]=>010010 [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]=>010100 [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]=>001000 [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]=>010000 [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]=>100000 [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]=>100001 [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]=>100010 [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]=>100100 [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]=>101000 [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]=>010000 [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]=>100000 [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]=>0000010 [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]=>0000010 [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]=>0000100 [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]=>0000101 [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]=>0000010 [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]=>0000100 [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 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[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]=>0001010 [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]=>0000010 [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]=>0000100 [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]=>0000101 [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]=>0000010 [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]=>0000100 [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]=>0001000 [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]=>0001001 [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]=>0001010 [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]=>0001001 [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]=>0001010 [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]=>0000100 [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]=>0000101 [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]=>0000010 [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]=>0001000 [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]=>0001001 [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]=>0001010 [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]=>0000100 [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]=>0001000 [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 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[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]=>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]=>0010101 [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]=>0010010 [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]=>0010100 [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]=>0001010 [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 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,2,4,7,8,6,5,3]=>[1,2,5,4,6,8,7,3]=>[1,2,4,7,8,3,5,6]=>0000100 [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]=>0001000 [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]=>0010001 [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]=>0010010 [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]=>0010010 [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]=>0010100 [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]=>0001000 [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]=>0001010 [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]=>0000101 [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]=>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]=>0001001 [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]=>0001000 [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]=>0010000 [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]=>0010001 [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]=>0010010 [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]=>0010100 [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]=>0001010 [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]=>0010000 [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]=>0001000 [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]=>0010000 [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 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[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]=>0100010 [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]=>0100010 [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]=>0100101 [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]=>0100100 [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]=>0101010 [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 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[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 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,2,5,7,6,4,8]=>[1,3,2,6,5,7,4,8]=>[1,3,2,5,7,4,6,8]=>0100100 [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]=>0100101 [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]=>0100010 [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]=>0101000 [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]=>0101010 [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]=>0101001 [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]=>0101010 [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]=>0100100 [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]=>0101000 [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]=>0101001 [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]=>0101000 [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]=>0010010 [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]=>0010101 [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]=>0010010 [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]=>0010100 [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]=>0001010 [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]=>0000100 [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]=>0001010 [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]=>0001000 [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]=>0010010 [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]=>0010001 [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]=>0010101 [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]=>0010010 [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]=>0010100 [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]=>0001000 [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]=>0000100 [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]=>0000010 [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]=>0001000 [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]=>0001001 [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]=>0001010 [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]=>0000100 [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]=>0001000 [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]=>0100000 [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]=>0100001 [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]=>0100010 [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]=>0100001 [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]=>0100010 [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]=>0100101 [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]=>0100001 [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]=>0100100 [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]=>0100101 [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]=>0100100 [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]=>0101010 [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]=>0101001 [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]=>0101010 [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]=>0101000 [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]=>0101010 [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]=>0101001 [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]=>0100100 [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]=>0101010 [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]=>0101000 [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]=>0010010 [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]=>0010010 [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]=>0010100 [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]=>0010100 [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]=>0001000 [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]=>0000100 [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]=>0001000 [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]=>0010100 [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]=>0010100 [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]=>0010000 [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]=>0100000 [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]=>0100001 [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]=>0100010 [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]=>0100001 [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]=>0100010 [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]=>0100010 [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]=>0100010 [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]=>0101000 [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]=>0000100 [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]=>0010001 [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]=>0010001 [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]=>0010100 [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]=>0001000 [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]=>0100010 [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]=>0101000 [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]=>0010000 [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]=>0100000 [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 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[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]=>1000101 [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]=>1000100 [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 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[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 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[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 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[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]=>1010010 [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]=>1010101 [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]=>1010010 [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]=>1010100 [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 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[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 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[2,1,4,5,8,7,6,3]=>[2,1,6,4,5,7,8,3]=>[2,1,4,5,8,3,6,7]=>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]=>1001001 [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]=>1001010 [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]=>1000101 [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]=>1000100 [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]=>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]=>1010001 [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]=>1010101 [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]=>1010101 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[2,1,5,4,8,7,6,3]=>[2,1,6,5,4,7,8,3]=>[2,1,5,4,8,3,6,7]=>1010100 [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]=>1001000 [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]=>1001001 [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]=>1001001 [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]=>1000101 [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]=>1000010 [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]=>1001001 [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]=>1000100 [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]=>1010001 [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]=>1010001 [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]=>1010101 [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]=>1010010 [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]=>1001010 [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]=>1000100 [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]=>1010100 [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]=>1001000 [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]=>1010000 [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 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[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 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[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]=>0100101 [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]=>0100010 [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]=>0100100 [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 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[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 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,5,7,4,8]=>[3,2,1,7,6,5,4,8]=>[2,3,1,6,5,7,4,8]=>0101010 [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]=>0100010 [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]=>0100100 [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]=>0101010 [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]=>0100100 [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]=>0010010 [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]=>0010010 [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]=>0010100 [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]=>0010101 [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]=>0010010 [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]=>0010100 [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 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[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 [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,6,5,8,7,1]=>[7,2,3,4,6,5,8,1]=>[2,3,4,6,5,8,1,7]=>0001010 [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]=>0000010 [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]=>0001000 [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]=>0001001 [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]=>0000100 [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]=>0001000 [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]=>0010010 [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]=>0010101 [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]=>0001001 [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]=>0000010 [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]=>0010001 [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]=>0010100 [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]=>0001001 [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]=>0001010 [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]=>0010010 [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]=>0010000 [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]=>0100000 [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]=>0100001 [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]=>0100101 [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]=>0100001 [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]=>0100010 [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]=>0100101 [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]=>0100100 [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]=>0101000 [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]=>0101010 [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]=>0101001 [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]=>0101010 [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]=>0101001 [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]=>0101010 [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]=>0101001 [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]=>0101010 [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]=>0100100 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,3,8,7,6,5,1]=>[5,2,4,3,6,7,8,1]=>[2,4,3,8,1,5,6,7]=>0101000 [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]=>0010001 [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]=>0010101 [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]=>0001000 [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]=>0000101 [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]=>0010001 [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]=>0010101 [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]=>0010100 [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]=>0001000 [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]=>0000100 [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]=>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]=>0100010 [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]=>0100010 [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]=>0101010 [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]=>0101001 [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]=>0000100 [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]=>0100010 [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]=>0100100 [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]=>0101000 [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]=>0010010 [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]=>0010000 [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]=>0100010 [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]=>0100000 [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]=>1000000 [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]=>1000010 [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]=>1000001 [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]=>1000010 [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]=>1000100 [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]=>1000101 [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]=>1000010 [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]=>1000100 [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]=>1001010 [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]=>1000001 [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]=>1000010 [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]=>1000100 [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]=>1000101 [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]=>1000100 [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]=>1001001 [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]=>1000101 [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]=>1001001 [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]=>1000100 [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]=>1010000 [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]=>1010001 [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]=>1010010 [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]=>1010001 [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]=>1010010 [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]=>1010100 [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]=>1010101 [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]=>1010010 [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]=>1010001 [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]=>1010010 [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]=>1010100 [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]=>1010101 [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]=>1010010 [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]=>1010100 [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]=>1001000 [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]=>1000101 [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]=>1001000 [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]=>1010001 [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]=>1010101 [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]=>1010100 [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]=>1010101 [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]=>1000010 [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]=>1000100 [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]=>1001000 [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]=>1010101 [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]=>1001010 [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]=>1001000 [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]=>1010010 [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]=>1010000 [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]=>0100000 [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]=>0100010 [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]=>0100101 [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]=>0100001 [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]=>0100010 [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]=>0100101 [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]=>0100010 [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]=>0100100 [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]=>0101000 [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]=>0101010 [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]=>0101001 [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]=>0101010 [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]=>0100101 [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]=>0100001 [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]=>0101010 [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]=>0101001 [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]=>0101010 [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]=>0100010 [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]=>0100100 [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]=>0100100 [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]=>0101000 [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]=>0010010 [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]=>0010101 [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]=>0001010 [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]=>0001001 [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]=>0001000 [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]=>0000100 [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]=>0010100 [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]=>0010000 [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]=>0100000 [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]=>0100010 [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]=>0100001 [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]=>0100010 [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]=>0100100 [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]=>0101010 [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]=>0100101 [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]=>0010001 [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]=>0010010 [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]=>0010101 [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]=>0000100 [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]=>0010000 [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]=>0001000 [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]=>0100010 [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]=>0101010 [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]=>0101000 [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]=>0010010 [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]=>0010100 [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]=>0100010 [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]=>1000000 [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]=>1000001 [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]=>1000010 [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]=>1000001 [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]=>1000010 [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]=>1000100 [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]=>1000101 [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]=>1000010 [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]=>1000001 [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]=>1000010 [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]=>1000100 [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]=>1000101 [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]=>1000010 [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]=>1000100 [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]=>1001000 [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]=>1001001 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]=>[5,3,4,2,1,7,8,6]=>[4,2,3,5,1,8,6,7]=>1001010 [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]=>1000101 [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]=>1000100 [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]=>1001000 [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]=>1010010 [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]=>1010101 [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]=>1010001 [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]=>1010101 [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]=>1000010 [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]=>1001010 [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]=>1010101 [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]=>1000100 [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]=>1001000 [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]=>1010100 [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]=>1001000 [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]=>0100000 [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]=>0100010 [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]=>0100010 [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]=>0100010 [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]=>0100001 [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]=>0100100 [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]=>0101001 [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]=>0101010 [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]=>0100010 [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]=>0100100 [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]=>0101000 [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]=>0101010 [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]=>0100100 [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]=>0010001 [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]=>0010101 [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]=>0001000 [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]=>0001001 [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]=>0001010 [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]=>0000100 [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]=>0001000 [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]=>0010001 [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]=>0010100 [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]=>0010000 [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]=>0100101 [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]=>0100100 [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]=>0100100 [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]=>0010100 [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]=>0010000 [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]=>0100100 [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]=>0100000 [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]=>1000000 [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]=>1000001 [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]=>1000010 [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]=>1010001 [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]=>1010101 [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]=>1001010 [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]=>1000100 [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]=>1010100 [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]=>1010000 [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]=>0101001 [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]=>0101010 [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]=>0100100 [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]=>0010000 [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]=>0010100 [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]=>0001000 [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]=>0010000 [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]=>0100001 [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]=>0100100 [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]=>0101000 [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]=>0010000 [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]=>1000001 [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]=>1000010 [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]=>1000100 [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]=>1000100 [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]=>1010000 [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]=>1010100 [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]=>1001000 [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]=>1010000 [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]=>0100100 [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]=>0101000 [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]=>0010000 [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]=>1000000 [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]=>1000100 [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]=>1001000 [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]=>1010000 [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]=>0100000 [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]=>1000000