=>

[1,0,1,0]=>[1,2]=>[1,2]=>0=>0 [1,1,0,0]=>[2,1]=>[2,1]=>1=>1 [1,0,1,0,1,0]=>[1,2,3]=>[1,2,3]=>00=>0 [1,0,1,1,0,0]=>[1,3,2]=>[3,1,2]=>10=>1 [1,1,0,0,1,0]=>[2,1,3]=>[2,1,3]=>10=>1 [1,1,0,1,0,0]=>[2,3,1]=>[2,3,1]=>01=>2 [1,1,1,0,0,0]=>[3,2,1]=>[3,2,1]=>11=>3 [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>[1,2,3,4]=>000=>0 [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>[4,1,2,3]=>100=>1 [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>[3,1,2,4]=>100=>1 [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>[3,4,1,2]=>010=>2 [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>[4,3,1,2]=>110=>3 [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>[2,1,3,4]=>100=>1 [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>[2,4,1,3]=>010=>2 [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>[2,3,1,4]=>010=>2 [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>[2,3,4,1]=>001=>3 [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>[4,2,3,1]=>101=>4 [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>[3,2,1,4]=>110=>3 [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>[3,2,4,1]=>101=>4 [1,1,1,0,1,0,0,0]=>[4,2,3,1]=>[2,4,3,1]=>011=>5 [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>[4,3,2,1]=>111=>6 [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000=>0 [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>[5,1,2,3,4]=>1000=>1 [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>[4,1,2,3,5]=>1000=>1 [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>[4,5,1,2,3]=>0100=>2 [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>[5,4,1,2,3]=>1100=>3 [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>[3,1,2,4,5]=>1000=>1 [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>[3,5,1,2,4]=>0100=>2 [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>[3,4,1,2,5]=>0100=>2 [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>[3,4,5,1,2]=>0010=>3 [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>[5,3,4,1,2]=>1010=>4 [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>[4,3,1,2,5]=>1100=>3 [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>[4,3,5,1,2]=>1010=>4 [1,0,1,1,1,0,1,0,0,0]=>[1,5,3,4,2]=>[3,5,4,1,2]=>0110=>5 [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>[5,4,3,1,2]=>1110=>6 [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000=>1 [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>[2,5,1,3,4]=>0100=>2 [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>[2,4,1,3,5]=>0100=>2 [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>[2,4,5,1,3]=>0010=>3 [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>[5,2,4,1,3]=>1010=>4 [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>[2,3,1,4,5]=>0100=>2 [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>[2,3,5,1,4]=>0010=>3 [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>[2,3,4,1,5]=>0010=>3 [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>[2,3,4,5,1]=>0001=>4 [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>[5,2,3,4,1]=>1001=>5 [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>[4,2,3,1,5]=>1010=>4 [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>[4,2,3,5,1]=>1001=>5 [1,1,0,1,1,0,1,0,0,0]=>[2,5,3,4,1]=>[2,5,3,4,1]=>0101=>6 [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>[5,4,2,3,1]=>1101=>7 [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100=>3 [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>[3,2,5,1,4]=>1010=>4 [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>[3,2,4,1,5]=>1010=>4 [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>[3,2,4,5,1]=>1001=>5 [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>[3,5,2,4,1]=>0101=>6 [1,1,1,0,1,0,0,0,1,0]=>[4,2,3,1,5]=>[2,4,3,1,5]=>0110=>5 [1,1,1,0,1,0,0,1,0,0]=>[4,2,3,5,1]=>[2,4,3,5,1]=>0101=>6 [1,1,1,0,1,0,1,0,0,0]=>[5,2,3,4,1]=>[2,3,5,4,1]=>0011=>7 [1,1,1,0,1,1,0,0,0,0]=>[5,2,4,3,1]=>[5,2,4,3,1]=>1011=>8 [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1110=>6 [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>[4,3,2,5,1]=>1101=>7 [1,1,1,1,0,0,1,0,0,0]=>[5,3,2,4,1]=>[3,2,5,4,1]=>1011=>8 [1,1,1,1,0,1,0,0,0,0]=>[5,3,4,2,1]=>[3,5,4,2,1]=>0111=>9 [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1111=>10 [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000=>0 [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>[6,1,2,3,4,5]=>10000=>1 [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>[5,1,2,3,4,6]=>10000=>1 [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>[5,6,1,2,3,4]=>01000=>2 [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>[6,5,1,2,3,4]=>11000=>3 [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>[4,1,2,3,5,6]=>10000=>1 [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>[4,6,1,2,3,5]=>01000=>2 [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>[4,5,1,2,3,6]=>01000=>2 [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>[4,5,6,1,2,3]=>00100=>3 [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>[6,4,5,1,2,3]=>10100=>4 [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>[5,4,1,2,3,6]=>11000=>3 [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>[5,4,6,1,2,3]=>10100=>4 [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,6,4,5,3]=>[4,6,5,1,2,3]=>01100=>5 [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>[6,5,4,1,2,3]=>11100=>6 [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>[3,1,2,4,5,6]=>10000=>1 [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>[3,6,1,2,4,5]=>01000=>2 [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>[3,5,1,2,4,6]=>01000=>2 [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>[3,5,6,1,2,4]=>00100=>3 [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>[6,3,5,1,2,4]=>10100=>4 [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>[3,4,1,2,5,6]=>01000=>2 [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>[3,4,6,1,2,5]=>00100=>3 [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>[3,4,5,1,2,6]=>00100=>3 [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>[3,4,5,6,1,2]=>00010=>4 [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>[6,3,4,5,1,2]=>10010=>5 [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>[5,3,4,1,2,6]=>10100=>4 [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>[5,3,4,6,1,2]=>10010=>5 [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,6,4,5,2]=>[3,6,4,5,1,2]=>01010=>6 [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>[6,5,3,4,1,2]=>11010=>7 [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>[4,3,1,2,5,6]=>11000=>3 [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>[4,3,6,1,2,5]=>10100=>4 [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>[4,3,5,1,2,6]=>10100=>4 [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>[4,3,5,6,1,2]=>10010=>5 [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>[4,6,3,5,1,2]=>01010=>6 [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,5,3,4,2,6]=>[3,5,4,1,2,6]=>01100=>5 [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,5,3,4,6,2]=>[3,5,4,6,1,2]=>01010=>6 [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,6,3,4,5,2]=>[3,4,6,5,1,2]=>00110=>7 [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,6,3,5,4,2]=>[6,3,5,4,1,2]=>10110=>8 [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>[5,4,3,1,2,6]=>11100=>6 [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>[5,4,3,6,1,2]=>11010=>7 [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,6,4,3,5,2]=>[4,3,6,5,1,2]=>10110=>8 [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,6,4,5,3,2]=>[4,6,5,3,1,2]=>01110=>9 [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>[6,5,4,3,1,2]=>11110=>10 [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000=>1 [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>[2,6,1,3,4,5]=>01000=>2 [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>[2,5,1,3,4,6]=>01000=>2 [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>[2,5,6,1,3,4]=>00100=>3 [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>[6,2,5,1,3,4]=>10100=>4 [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>[2,4,1,3,5,6]=>01000=>2 [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>[2,4,6,1,3,5]=>00100=>3 [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>[2,4,5,1,3,6]=>00100=>3 [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>[2,4,5,6,1,3]=>00010=>4 [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>[6,2,4,5,1,3]=>10010=>5 [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>[5,2,4,1,3,6]=>10100=>4 [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>[5,2,4,6,1,3]=>10010=>5 [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,6,4,5,3]=>[2,6,4,5,1,3]=>01010=>6 [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>[6,5,2,4,1,3]=>11010=>7 [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>[2,3,1,4,5,6]=>01000=>2 [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>[2,3,6,1,4,5]=>00100=>3 [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>[2,3,5,1,4,6]=>00100=>3 [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>[2,3,5,6,1,4]=>00010=>4 [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>[6,2,3,5,1,4]=>10010=>5 [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>[2,3,4,1,5,6]=>00100=>3 [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>[2,3,4,6,1,5]=>00010=>4 [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>[2,3,4,5,1,6]=>00010=>4 [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>[2,3,4,5,6,1]=>00001=>5 [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>[6,2,3,4,5,1]=>10001=>6 [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>[5,2,3,4,1,6]=>10010=>5 [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>[5,2,3,4,6,1]=>10001=>6 [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,6,4,5,1]=>[2,6,3,4,5,1]=>01001=>7 [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>[6,5,2,3,4,1]=>11001=>8 [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>[4,2,3,1,5,6]=>10100=>4 [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>[4,2,3,6,1,5]=>10010=>5 [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>[4,2,3,5,1,6]=>10010=>5 [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>[4,2,3,5,6,1]=>10001=>6 [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>[4,6,2,3,5,1]=>01001=>7 [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,5,3,4,1,6]=>[2,5,3,4,1,6]=>01010=>6 [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,5,3,4,6,1]=>[2,5,3,4,6,1]=>01001=>7 [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,6,3,4,5,1]=>[2,3,6,4,5,1]=>00101=>8 [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,6,3,5,4,1]=>[6,2,5,3,4,1]=>10101=>9 [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>[5,4,2,3,1,6]=>11010=>7 [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>[5,4,2,3,6,1]=>11001=>8 [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,6,4,3,5,1]=>[6,2,4,3,5,1]=>10101=>9 [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,6,4,5,3,1]=>[4,6,5,2,3,1]=>01101=>10 [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>[6,5,4,2,3,1]=>11101=>11 [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>11000=>3 [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>[3,2,6,1,4,5]=>10100=>4 [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>[3,2,5,1,4,6]=>10100=>4 [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>[3,2,5,6,1,4]=>10010=>5 [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>[3,6,2,5,1,4]=>01010=>6 [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>[3,2,4,1,5,6]=>10100=>4 [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>[3,2,4,6,1,5]=>10010=>5 [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>[3,2,4,5,1,6]=>10010=>5 [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1]=>10001=>6 [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>[3,6,2,4,5,1]=>01001=>7 [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>[3,5,2,4,1,6]=>01010=>6 [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>[3,5,2,4,6,1]=>01001=>7 [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,6,4,5,1]=>[6,3,2,4,5,1]=>11001=>8 [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>[6,3,5,2,4,1]=>10101=>9 [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,2,3,1,5,6]=>[2,4,3,1,5,6]=>01100=>5 [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,2,3,1,6,5]=>[2,4,3,6,1,5]=>01010=>6 [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,2,3,5,1,6]=>[2,4,3,5,1,6]=>01010=>6 [1,1,1,0,1,0,0,1,0,1,0,0]=>[4,2,3,5,6,1]=>[2,4,3,5,6,1]=>01001=>7 [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,2,3,6,5,1]=>[2,4,6,3,5,1]=>00101=>8 [1,1,1,0,1,0,1,0,0,0,1,0]=>[5,2,3,4,1,6]=>[2,3,5,4,1,6]=>00110=>7 [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,2,3,4,6,1]=>[2,3,5,4,6,1]=>00101=>8 [1,1,1,0,1,0,1,0,1,0,0,0]=>[6,2,3,4,5,1]=>[2,3,4,6,5,1]=>00011=>9 [1,1,1,0,1,0,1,1,0,0,0,0]=>[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>10011=>10 [1,1,1,0,1,1,0,0,0,0,1,0]=>[5,2,4,3,1,6]=>[5,2,4,3,1,6]=>10110=>8 [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,4,3,6,1]=>[5,2,4,3,6,1]=>10101=>9 [1,1,1,0,1,1,0,0,1,0,0,0]=>[6,2,4,3,5,1]=>[4,2,3,6,5,1]=>10011=>10 [1,1,1,0,1,1,0,1,0,0,0,0]=>[6,2,4,5,3,1]=>[2,6,4,5,3,1]=>01011=>11 [1,1,1,0,1,1,1,0,0,0,0,0]=>[6,2,5,4,3,1]=>[6,5,2,4,3,1]=>11011=>12 [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>11100=>6 [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>[4,3,2,6,1,5]=>11010=>7 [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>[4,3,2,5,1,6]=>11010=>7 [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>[4,3,2,5,6,1]=>11001=>8 [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>[4,3,6,2,5,1]=>10101=>9 [1,1,1,1,0,0,1,0,0,0,1,0]=>[5,3,2,4,1,6]=>[3,2,5,4,1,6]=>10110=>8 [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>[3,2,5,4,6,1]=>10101=>9 [1,1,1,1,0,0,1,0,1,0,0,0]=>[6,3,2,4,5,1]=>[3,2,4,6,5,1]=>10011=>10 [1,1,1,1,0,0,1,1,0,0,0,0]=>[6,3,2,5,4,1]=>[3,6,2,5,4,1]=>01011=>11 [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,3,4,2,1,6]=>[3,5,4,2,1,6]=>01110=>9 [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,3,4,2,6,1]=>[3,5,4,2,6,1]=>01101=>10 [1,1,1,1,0,1,0,0,1,0,0,0]=>[6,3,4,2,5,1]=>[3,4,2,6,5,1]=>01011=>11 [1,1,1,1,0,1,0,1,0,0,0,0]=>[6,3,4,5,2,1]=>[3,4,6,5,2,1]=>00111=>12 [1,1,1,1,0,1,1,0,0,0,0,0]=>[6,3,5,4,2,1]=>[6,3,5,4,2,1]=>10111=>13 [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>11110=>10 [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>11101=>11 [1,1,1,1,1,0,0,0,1,0,0,0]=>[6,4,3,2,5,1]=>[4,3,2,6,5,1]=>11011=>12 [1,1,1,1,1,0,0,1,0,0,0,0]=>[6,4,3,5,2,1]=>[4,3,6,5,2,1]=>10111=>13 [1,1,1,1,1,0,1,0,0,0,0,0]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>01111=>14 [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>11111=>15 [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]=>000000=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>100000=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>[6,1,2,3,4,5,7]=>100000=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>[6,7,1,2,3,4,5]=>010000=>2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>110000=>3 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>[5,1,2,3,4,6,7]=>100000=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>[5,7,1,2,3,4,6]=>010000=>2 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>[5,6,1,2,3,4,7]=>010000=>2 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>[5,6,7,1,2,3,4]=>001000=>3 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>[7,5,6,1,2,3,4]=>101000=>4 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>[6,5,1,2,3,4,7]=>110000=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>[6,5,7,1,2,3,4]=>101000=>4 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,7,5,6,4]=>[5,7,6,1,2,3,4]=>011000=>5 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>111000=>6 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>[4,1,2,3,5,6,7]=>100000=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>[4,7,1,2,3,5,6]=>010000=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>[4,6,1,2,3,5,7]=>010000=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>[4,6,7,1,2,3,5]=>001000=>3 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>[7,4,6,1,2,3,5]=>101000=>4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>[4,5,1,2,3,6,7]=>010000=>2 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>[4,5,7,1,2,3,6]=>001000=>3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>[4,5,6,1,2,3,7]=>001000=>3 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>[4,5,6,7,1,2,3]=>000100=>4 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>[7,4,5,6,1,2,3]=>100100=>5 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>[6,4,5,1,2,3,7]=>101000=>4 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>[6,4,5,7,1,2,3]=>100100=>5 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,7,5,6,3]=>[4,7,5,6,1,2,3]=>010100=>6 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>[7,6,4,5,1,2,3]=>110100=>7 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>[5,4,1,2,3,6,7]=>110000=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>[5,4,7,1,2,3,6]=>101000=>4 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>[5,4,6,1,2,3,7]=>101000=>4 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>[5,4,6,7,1,2,3]=>100100=>5 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>[5,7,4,6,1,2,3]=>010100=>6 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,6,4,5,3,7]=>[4,6,5,1,2,3,7]=>011000=>5 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,6,4,5,7,3]=>[4,6,5,7,1,2,3]=>010100=>6 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,7,4,5,6,3]=>[4,5,7,6,1,2,3]=>001100=>7 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,7,4,6,5,3]=>[7,4,6,5,1,2,3]=>101100=>8 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>[6,5,4,1,2,3,7]=>111000=>6 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>[6,5,4,7,1,2,3]=>110100=>7 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,7,5,4,6,3]=>[5,4,7,6,1,2,3]=>101100=>8 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,7,5,6,4,3]=>[5,7,6,4,1,2,3]=>011100=>9 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>111100=>10 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>100000=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>[3,7,1,2,4,5,6]=>010000=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>[3,6,1,2,4,5,7]=>010000=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>[3,6,7,1,2,4,5]=>001000=>3 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>[7,3,6,1,2,4,5]=>101000=>4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>[3,5,1,2,4,6,7]=>010000=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>[3,5,7,1,2,4,6]=>001000=>3 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>[3,5,6,1,2,4,7]=>001000=>3 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>[3,5,6,7,1,2,4]=>000100=>4 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>[7,3,5,6,1,2,4]=>100100=>5 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>[6,3,5,1,2,4,7]=>101000=>4 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>[6,3,5,7,1,2,4]=>100100=>5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,7,5,6,4]=>[3,7,5,6,1,2,4]=>010100=>6 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>[7,6,3,5,1,2,4]=>110100=>7 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>010000=>2 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>[3,4,7,1,2,5,6]=>001000=>3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>[3,4,6,1,2,5,7]=>001000=>3 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>[3,4,6,7,1,2,5]=>000100=>4 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>[7,3,4,6,1,2,5]=>100100=>5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>[3,4,5,1,2,6,7]=>001000=>3 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>[3,4,5,7,1,2,6]=>000100=>4 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>[3,4,5,6,1,2,7]=>000100=>4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>[3,4,5,6,7,1,2]=>000010=>5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>[7,3,4,5,6,1,2]=>100010=>6 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>[6,3,4,5,1,2,7]=>100100=>5 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>[6,3,4,5,7,1,2]=>100010=>6 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,7,5,6,2]=>[3,7,4,5,6,1,2]=>010010=>7 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>[7,6,3,4,5,1,2]=>110010=>8 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>[5,3,4,1,2,6,7]=>101000=>4 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>[5,3,4,7,1,2,6]=>100100=>5 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>[5,3,4,6,1,2,7]=>100100=>5 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>[5,3,4,6,7,1,2]=>100010=>6 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>[5,7,3,4,6,1,2]=>010010=>7 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,6,4,5,2,7]=>[3,6,4,5,1,2,7]=>010100=>6 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,6,4,5,7,2]=>[3,6,4,5,7,1,2]=>010010=>7 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,7,4,5,6,2]=>[3,4,7,5,6,1,2]=>001010=>8 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,7,4,6,5,2]=>[7,3,6,4,5,1,2]=>101010=>9 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>[6,5,3,4,1,2,7]=>110100=>7 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>[6,5,3,4,7,1,2]=>110010=>8 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,7,5,4,6,2]=>[7,3,5,4,6,1,2]=>101010=>9 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,7,5,6,4,2]=>[5,7,6,3,4,1,2]=>011010=>10 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>[7,6,5,3,4,1,2]=>111010=>11 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>[4,3,1,2,5,6,7]=>110000=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>[4,3,7,1,2,5,6]=>101000=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>[4,3,6,1,2,5,7]=>101000=>4 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>[4,3,6,7,1,2,5]=>100100=>5 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>[4,7,3,6,1,2,5]=>010100=>6 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>[4,3,5,1,2,6,7]=>101000=>4 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>[4,3,5,7,1,2,6]=>100100=>5 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>[4,3,5,6,1,2,7]=>100100=>5 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>[4,3,5,6,7,1,2]=>100010=>6 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>[4,7,3,5,6,1,2]=>010010=>7 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>[4,6,3,5,1,2,7]=>010100=>6 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>[4,6,3,5,7,1,2]=>010010=>7 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,7,5,6,2]=>[7,4,3,5,6,1,2]=>110010=>8 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>[7,4,6,3,5,1,2]=>101010=>9 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,5,3,4,2,6,7]=>[3,5,4,1,2,6,7]=>011000=>5 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,5,3,4,2,7,6]=>[3,5,4,7,1,2,6]=>010100=>6 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,5,3,4,6,2,7]=>[3,5,4,6,1,2,7]=>010100=>6 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,5,3,4,6,7,2]=>[3,5,4,6,7,1,2]=>010010=>7 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,5,3,4,7,6,2]=>[3,5,7,4,6,1,2]=>001010=>8 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,6,3,4,5,2,7]=>[3,4,6,5,1,2,7]=>001100=>7 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,6,3,4,5,7,2]=>[3,4,6,5,7,1,2]=>001010=>8 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,7,3,4,5,6,2]=>[3,4,5,7,6,1,2]=>000110=>9 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,7,3,4,6,5,2]=>[7,3,4,6,5,1,2]=>100110=>10 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,6,3,5,4,2,7]=>[6,3,5,4,1,2,7]=>101100=>8 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,6,3,5,4,7,2]=>[6,3,5,4,7,1,2]=>101010=>9 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,7,3,5,4,6,2]=>[5,3,4,7,6,1,2]=>100110=>10 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,7,3,5,6,4,2]=>[3,7,5,6,4,1,2]=>010110=>11 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,7,3,6,5,4,2]=>[7,6,3,5,4,1,2]=>110110=>12 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>[5,4,3,1,2,6,7]=>111000=>6 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>[5,4,3,7,1,2,6]=>110100=>7 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>[5,4,3,6,1,2,7]=>110100=>7 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>[5,4,3,6,7,1,2]=>110010=>8 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>[5,4,7,3,6,1,2]=>101010=>9 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,6,4,3,5,2,7]=>[4,3,6,5,1,2,7]=>101100=>8 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,6,4,3,5,7,2]=>[4,3,6,5,7,1,2]=>101010=>9 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,7,4,3,5,6,2]=>[4,3,5,7,6,1,2]=>100110=>10 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,7,4,3,6,5,2]=>[4,7,3,6,5,1,2]=>010110=>11 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,6,4,5,3,2,7]=>[4,6,5,3,1,2,7]=>011100=>9 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,6,4,5,3,7,2]=>[4,6,5,3,7,1,2]=>011010=>10 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,7,4,5,3,6,2]=>[4,5,3,7,6,1,2]=>010110=>11 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,7,4,5,6,3,2]=>[4,5,7,6,3,1,2]=>001110=>12 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,7,4,6,5,3,2]=>[7,4,6,5,3,1,2]=>101110=>13 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>[6,5,4,3,1,2,7]=>111100=>10 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>[6,5,4,3,7,1,2]=>111010=>11 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,7,5,4,3,6,2]=>[5,4,3,7,6,1,2]=>110110=>12 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,7,5,4,6,3,2]=>[5,4,7,6,3,1,2]=>101110=>13 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,7,6,4,5,3,2]=>[4,7,6,5,3,1,2]=>011110=>14 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>111110=>15 [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]=>100000=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>[2,7,1,3,4,5,6]=>010000=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>[2,6,1,3,4,5,7]=>010000=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>[2,6,7,1,3,4,5]=>001000=>3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>[7,2,6,1,3,4,5]=>101000=>4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>[2,5,1,3,4,6,7]=>010000=>2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>[2,5,7,1,3,4,6]=>001000=>3 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>[2,5,6,1,3,4,7]=>001000=>3 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>[2,5,6,7,1,3,4]=>000100=>4 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>[7,2,5,6,1,3,4]=>100100=>5 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>[6,2,5,1,3,4,7]=>101000=>4 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>[6,2,5,7,1,3,4]=>100100=>5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,7,5,6,4]=>[2,7,5,6,1,3,4]=>010100=>6 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>[7,6,2,5,1,3,4]=>110100=>7 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>[2,4,1,3,5,6,7]=>010000=>2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>[2,4,7,1,3,5,6]=>001000=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>[2,4,6,1,3,5,7]=>001000=>3 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>[2,4,6,7,1,3,5]=>000100=>4 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>[7,2,4,6,1,3,5]=>100100=>5 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>[2,4,5,1,3,6,7]=>001000=>3 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>[2,4,5,7,1,3,6]=>000100=>4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>[2,4,5,6,1,3,7]=>000100=>4 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>[2,4,5,6,7,1,3]=>000010=>5 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>[7,2,4,5,6,1,3]=>100010=>6 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>[6,2,4,5,1,3,7]=>100100=>5 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>[6,2,4,5,7,1,3]=>100010=>6 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,7,5,6,3]=>[2,7,4,5,6,1,3]=>010010=>7 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>[7,6,2,4,5,1,3]=>110010=>8 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>[5,2,4,1,3,6,7]=>101000=>4 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>[5,2,4,7,1,3,6]=>100100=>5 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>[5,2,4,6,1,3,7]=>100100=>5 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>[5,2,4,6,7,1,3]=>100010=>6 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>[5,7,2,4,6,1,3]=>010010=>7 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,6,4,5,3,7]=>[2,6,4,5,1,3,7]=>010100=>6 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,6,4,5,7,3]=>[2,6,4,5,7,1,3]=>010010=>7 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,7,4,5,6,3]=>[2,4,7,5,6,1,3]=>001010=>8 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,7,4,6,5,3]=>[7,2,6,4,5,1,3]=>101010=>9 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>[6,5,2,4,1,3,7]=>110100=>7 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>[6,5,2,4,7,1,3]=>110010=>8 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,7,5,4,6,3]=>[7,2,5,4,6,1,3]=>101010=>9 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,7,5,6,4,3]=>[5,7,6,2,4,1,3]=>011010=>10 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>[7,6,5,2,4,1,3]=>111010=>11 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>010000=>2 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>[2,3,7,1,4,5,6]=>001000=>3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>[2,3,6,1,4,5,7]=>001000=>3 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>[2,3,6,7,1,4,5]=>000100=>4 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>[7,2,3,6,1,4,5]=>100100=>5 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>[2,3,5,1,4,6,7]=>001000=>3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>[2,3,5,7,1,4,6]=>000100=>4 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>[2,3,5,6,1,4,7]=>000100=>4 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>[2,3,5,6,7,1,4]=>000010=>5 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>[7,2,3,5,6,1,4]=>100010=>6 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>[6,2,3,5,1,4,7]=>100100=>5 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>[6,2,3,5,7,1,4]=>100010=>6 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,7,5,6,4]=>[2,7,3,5,6,1,4]=>010010=>7 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>[7,6,2,3,5,1,4]=>110010=>8 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>001000=>3 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>[2,3,4,7,1,5,6]=>000100=>4 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>[2,3,4,6,1,5,7]=>000100=>4 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>[2,3,4,6,7,1,5]=>000010=>5 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>[7,2,3,4,6,1,5]=>100010=>6 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>000100=>4 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>[2,3,4,5,7,1,6]=>000010=>5 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>[2,3,4,5,6,1,7]=>000010=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]=>000001=>6 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>[7,2,3,4,5,6,1]=>100001=>7 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>[6,2,3,4,5,1,7]=>100010=>6 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>[6,2,3,4,5,7,1]=>100001=>7 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,7,5,6,1]=>[2,7,3,4,5,6,1]=>010001=>8 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>[7,6,2,3,4,5,1]=>110001=>9 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>[5,2,3,4,1,6,7]=>100100=>5 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>[5,2,3,4,7,1,6]=>100010=>6 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>[5,2,3,4,6,1,7]=>100010=>6 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>[5,2,3,4,6,7,1]=>100001=>7 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>[5,7,2,3,4,6,1]=>010001=>8 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,6,4,5,1,7]=>[2,6,3,4,5,1,7]=>010010=>7 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,6,4,5,7,1]=>[2,6,3,4,5,7,1]=>010001=>8 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,7,4,5,6,1]=>[2,3,7,4,5,6,1]=>001001=>9 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,7,4,6,5,1]=>[7,2,6,3,4,5,1]=>101001=>10 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>[6,5,2,3,4,1,7]=>110010=>8 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>[6,5,2,3,4,7,1]=>110001=>9 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,7,5,4,6,1]=>[7,2,5,3,4,6,1]=>101001=>10 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,7,5,6,4,1]=>[5,7,6,2,3,4,1]=>011001=>11 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>[7,6,5,2,3,4,1]=>111001=>12 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>101000=>4 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>[4,2,3,7,1,5,6]=>100100=>5 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>[4,2,3,6,1,5,7]=>100100=>5 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>[4,2,3,6,7,1,5]=>100010=>6 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>[4,7,2,3,6,1,5]=>010010=>7 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>[4,2,3,5,1,6,7]=>100100=>5 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>[4,2,3,5,7,1,6]=>100010=>6 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>[4,2,3,5,6,1,7]=>100010=>6 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>100001=>7 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>[4,7,2,3,5,6,1]=>010001=>8 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>[4,6,2,3,5,1,7]=>010010=>7 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>[4,6,2,3,5,7,1]=>010001=>8 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,7,5,6,1]=>[7,4,2,3,5,6,1]=>110001=>9 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>[7,4,6,2,3,5,1]=>101001=>10 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,5,3,4,1,6,7]=>[2,5,3,4,1,6,7]=>010100=>6 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,5,3,4,1,7,6]=>[2,5,3,4,7,1,6]=>010010=>7 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]=>010010=>7 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,5,3,4,6,7,1]=>[2,5,3,4,6,7,1]=>010001=>8 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,5,3,4,7,6,1]=>[2,5,7,3,4,6,1]=>001001=>9 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,6,3,4,5,1,7]=>[2,3,6,4,5,1,7]=>001010=>8 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,6,3,4,5,7,1]=>[2,3,6,4,5,7,1]=>001001=>9 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,7,3,4,5,6,1]=>[2,3,4,7,5,6,1]=>000101=>10 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,7,3,4,6,5,1]=>[7,2,3,6,4,5,1]=>100101=>11 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,6,3,5,4,1,7]=>[6,2,5,3,4,1,7]=>101010=>9 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,6,3,5,4,7,1]=>[6,2,5,3,4,7,1]=>101001=>10 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,7,3,5,4,6,1]=>[7,2,3,5,4,6,1]=>100101=>11 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,7,3,5,6,4,1]=>[2,7,5,6,3,4,1]=>010101=>12 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,7,3,6,5,4,1]=>[7,6,2,5,3,4,1]=>110101=>13 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>[5,4,2,3,1,6,7]=>110100=>7 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>[5,4,2,3,7,1,6]=>110010=>8 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>[5,4,2,3,6,1,7]=>110010=>8 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>[5,4,2,3,6,7,1]=>110001=>9 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>[5,4,7,2,3,6,1]=>101001=>10 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,6,4,3,5,1,7]=>[6,2,4,3,5,1,7]=>101010=>9 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,6,4,3,5,7,1]=>[6,2,4,3,5,7,1]=>101001=>10 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,7,4,3,5,6,1]=>[4,2,3,7,5,6,1]=>100101=>11 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,7,4,3,6,5,1]=>[2,7,4,6,3,5,1]=>010101=>12 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,6,4,5,3,1,7]=>[4,6,5,2,3,1,7]=>011010=>10 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,6,4,5,3,7,1]=>[4,6,5,2,3,7,1]=>011001=>11 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,7,4,5,3,6,1]=>[2,7,4,5,3,6,1]=>010101=>12 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,7,4,5,6,3,1]=>[4,5,7,6,2,3,1]=>001101=>13 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,7,4,6,5,3,1]=>[7,4,6,5,2,3,1]=>101101=>14 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>[6,5,4,2,3,1,7]=>111010=>11 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>[6,5,4,2,3,7,1]=>111001=>12 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,7,5,4,3,6,1]=>[7,5,2,4,3,6,1]=>110101=>13 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,7,5,4,6,3,1]=>[5,4,7,6,2,3,1]=>101101=>14 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,7,6,4,5,3,1]=>[4,7,6,5,2,3,1]=>011101=>15 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>[7,6,5,4,2,3,1]=>111101=>16 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>110000=>3 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>[3,2,7,1,4,5,6]=>101000=>4 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>[3,2,6,1,4,5,7]=>101000=>4 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>[3,2,6,7,1,4,5]=>100100=>5 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>[3,7,2,6,1,4,5]=>010100=>6 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>[3,2,5,1,4,6,7]=>101000=>4 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>[3,2,5,7,1,4,6]=>100100=>5 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>[3,2,5,6,1,4,7]=>100100=>5 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>[3,2,5,6,7,1,4]=>100010=>6 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>[3,7,2,5,6,1,4]=>010010=>7 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>[3,6,2,5,1,4,7]=>010100=>6 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>[3,6,2,5,7,1,4]=>010010=>7 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,7,5,6,4]=>[7,3,2,5,6,1,4]=>110010=>8 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>[7,3,6,2,5,1,4]=>101010=>9 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7]=>101000=>4 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>[3,2,4,7,1,5,6]=>100100=>5 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>[3,2,4,6,1,5,7]=>100100=>5 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>[3,2,4,6,7,1,5]=>100010=>6 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>[3,7,2,4,6,1,5]=>010010=>7 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>[3,2,4,5,1,6,7]=>100100=>5 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>[3,2,4,5,7,1,6]=>100010=>6 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>[3,2,4,5,6,1,7]=>100010=>6 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>100001=>7 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>[3,7,2,4,5,6,1]=>010001=>8 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>[3,6,2,4,5,1,7]=>010010=>7 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>[3,6,2,4,5,7,1]=>010001=>8 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,7,5,6,1]=>[7,3,2,4,5,6,1]=>110001=>9 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>[7,3,6,2,4,5,1]=>101001=>10 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>[3,5,2,4,1,6,7]=>010100=>6 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>[3,5,2,4,7,1,6]=>010010=>7 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>[3,5,2,4,6,1,7]=>010010=>7 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>[3,5,2,4,6,7,1]=>010001=>8 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>[3,5,7,2,4,6,1]=>001001=>9 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,6,4,5,1,7]=>[6,3,2,4,5,1,7]=>110010=>8 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,6,4,5,7,1]=>[6,3,2,4,5,7,1]=>110001=>9 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,7,4,5,6,1]=>[3,2,7,4,5,6,1]=>101001=>10 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,7,4,6,5,1]=>[3,7,6,2,4,5,1]=>011001=>11 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>[6,3,5,2,4,1,7]=>101010=>9 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>[6,3,5,2,4,7,1]=>101001=>10 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,7,5,4,6,1]=>[3,7,5,2,4,6,1]=>011001=>11 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,7,5,6,4,1]=>[3,7,5,6,2,4,1]=>010101=>12 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>[7,6,3,5,2,4,1]=>110101=>13 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]=>011000=>5 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,2,3,1,5,7,6]=>[2,4,3,7,1,5,6]=>010100=>6 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,2,3,1,6,5,7]=>[2,4,3,6,1,5,7]=>010100=>6 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,2,3,1,6,7,5]=>[2,4,3,6,7,1,5]=>010010=>7 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,2,3,1,7,6,5]=>[2,4,7,3,6,1,5]=>001010=>8 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,2,3,5,1,6,7]=>[2,4,3,5,1,6,7]=>010100=>6 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,2,3,5,1,7,6]=>[2,4,3,5,7,1,6]=>010010=>7 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>010010=>7 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,1]=>[2,4,3,5,6,7,1]=>010001=>8 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[4,2,3,5,7,6,1]=>[2,4,7,3,5,6,1]=>001001=>9 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,2,3,6,5,1,7]=>[2,4,6,3,5,1,7]=>001010=>8 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,2,3,6,5,7,1]=>[2,4,6,3,5,7,1]=>001001=>9 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,2,3,7,5,6,1]=>[4,2,7,3,5,6,1]=>101001=>10 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,2,3,7,6,5,1]=>[7,2,4,6,3,5,1]=>100101=>11 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]=>001100=>7 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[5,2,3,4,1,7,6]=>[2,3,5,4,7,1,6]=>001010=>8 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[5,2,3,4,6,1,7]=>[2,3,5,4,6,1,7]=>001010=>8 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[5,2,3,4,6,7,1]=>[2,3,5,4,6,7,1]=>001001=>9 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,2,3,4,7,6,1]=>[2,3,5,7,4,6,1]=>000101=>10 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]=>000110=>9 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>[2,3,4,6,5,7,1]=>000101=>10 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]=>000011=>11 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]=>100011=>12 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,5,4,1,7]=>[6,2,3,5,4,1,7]=>100110=>10 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,2,3,5,4,7,1]=>[6,2,3,5,4,7,1]=>100101=>11 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[7,2,3,5,4,6,1]=>[5,2,3,4,7,6,1]=>100011=>12 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[7,2,3,5,6,4,1]=>[2,7,3,5,6,4,1]=>010011=>13 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[7,2,3,6,5,4,1]=>[7,6,2,3,5,4,1]=>110011=>14 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]=>101100=>8 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,2,4,3,1,7,6]=>[5,2,4,3,7,1,6]=>101010=>9 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[5,2,4,3,6,1,7]=>[5,2,4,3,6,1,7]=>101010=>9 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[5,2,4,3,6,7,1]=>[5,2,4,3,6,7,1]=>101001=>10 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,2,4,3,7,6,1]=>[5,2,4,7,3,6,1]=>100101=>11 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[6,2,4,3,5,1,7]=>[4,2,3,6,5,1,7]=>100110=>10 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,2,4,3,5,7,1]=>[4,2,3,6,5,7,1]=>100101=>11 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[7,2,4,3,5,6,1]=>[4,2,3,5,7,6,1]=>100011=>12 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[7,2,4,3,6,5,1]=>[4,7,2,3,6,5,1]=>010011=>13 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[6,2,4,5,3,1,7]=>[2,6,4,5,3,1,7]=>010110=>11 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,2,4,5,3,7,1]=>[2,6,4,5,3,7,1]=>010101=>12 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[7,2,4,5,3,6,1]=>[4,5,2,3,7,6,1]=>010011=>13 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[7,2,4,5,6,3,1]=>[2,4,7,5,6,3,1]=>001011=>14 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[7,2,4,6,5,3,1]=>[7,2,6,4,5,3,1]=>101011=>15 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,2,5,4,3,1,7]=>[6,5,2,4,3,1,7]=>110110=>12 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,5,4,3,7,1]=>[6,5,2,4,3,7,1]=>110101=>13 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[7,2,5,4,3,6,1]=>[5,4,2,3,7,6,1]=>110011=>14 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[7,2,5,4,6,3,1]=>[7,2,5,4,6,3,1]=>101011=>15 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[7,2,6,4,5,3,1]=>[2,7,6,4,5,3,1]=>011011=>16 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[7,2,6,5,4,3,1]=>[7,6,5,2,4,3,1]=>111011=>17 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>111000=>6 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>[4,3,2,7,1,5,6]=>110100=>7 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>[4,3,2,6,1,5,7]=>110100=>7 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>[4,3,2,6,7,1,5]=>110010=>8 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>[4,3,7,2,6,1,5]=>101010=>9 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>[4,3,2,5,1,6,7]=>110100=>7 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>[4,3,2,5,7,1,6]=>110010=>8 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>[4,3,2,5,6,1,7]=>110010=>8 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>110001=>9 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>[4,3,7,2,5,6,1]=>101001=>10 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>[4,3,6,2,5,1,7]=>101010=>9 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>[4,3,6,2,5,7,1]=>101001=>10 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,7,5,6,1]=>[4,7,3,2,5,6,1]=>011001=>11 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>[4,7,3,6,2,5,1]=>010101=>12 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,3,2,4,1,6,7]=>[3,2,5,4,1,6,7]=>101100=>8 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,3,2,4,1,7,6]=>[3,2,5,4,7,1,6]=>101010=>9 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[5,3,2,4,6,1,7]=>[3,2,5,4,6,1,7]=>101010=>9 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[5,3,2,4,6,7,1]=>[3,2,5,4,6,7,1]=>101001=>10 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,3,2,4,7,6,1]=>[3,2,5,7,4,6,1]=>100101=>11 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1,7]=>[3,2,4,6,5,1,7]=>100110=>10 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>[3,2,4,6,5,7,1]=>100101=>11 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[7,3,2,4,5,6,1]=>[3,2,4,5,7,6,1]=>100011=>12 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[7,3,2,4,6,5,1]=>[3,7,2,4,6,5,1]=>010011=>13 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,3,2,5,4,1,7]=>[3,6,2,5,4,1,7]=>010110=>11 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,2,5,4,7,1]=>[3,6,2,5,4,7,1]=>010101=>12 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[7,3,2,5,4,6,1]=>[3,5,2,4,7,6,1]=>010011=>13 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[7,3,2,5,6,4,1]=>[7,3,2,5,6,4,1]=>110011=>14 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[7,3,2,6,5,4,1]=>[7,3,6,2,5,4,1]=>101011=>15 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,3,4,2,1,6,7]=>[3,5,4,2,1,6,7]=>011100=>9 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,3,4,2,1,7,6]=>[3,5,4,2,7,1,6]=>011010=>10 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,3,4,2,6,1,7]=>[3,5,4,2,6,1,7]=>011010=>10 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[5,3,4,2,6,7,1]=>[3,5,4,2,6,7,1]=>011001=>11 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,3,4,2,7,6,1]=>[3,5,4,7,2,6,1]=>010101=>12 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[6,3,4,2,5,1,7]=>[3,4,2,6,5,1,7]=>010110=>11 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>[3,4,2,6,5,7,1]=>010101=>12 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[7,3,4,2,5,6,1]=>[3,4,2,5,7,6,1]=>010011=>13 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[7,3,4,2,6,5,1]=>[3,4,7,2,6,5,1]=>001011=>14 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[6,3,4,5,2,1,7]=>[3,4,6,5,2,1,7]=>001110=>12 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>[3,4,6,5,2,7,1]=>001101=>13 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[7,3,4,5,2,6,1]=>[3,4,5,2,7,6,1]=>001011=>14 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[7,3,4,5,6,2,1]=>[3,4,5,7,6,2,1]=>000111=>15 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[7,3,4,6,5,2,1]=>[7,3,4,6,5,2,1]=>100111=>16 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,3,5,4,2,1,7]=>[6,3,5,4,2,1,7]=>101110=>13 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,3,5,4,2,7,1]=>[6,3,5,4,2,7,1]=>101101=>14 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[7,3,5,4,2,6,1]=>[5,3,4,2,7,6,1]=>101011=>15 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[7,3,5,4,6,2,1]=>[5,3,4,7,6,2,1]=>100111=>16 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[7,3,6,4,5,2,1]=>[3,7,4,6,5,2,1]=>010111=>17 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[7,3,6,5,4,2,1]=>[7,6,3,5,4,2,1]=>110111=>18 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>111100=>10 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>[5,4,3,2,7,1,6]=>111010=>11 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>[5,4,3,2,6,1,7]=>111010=>11 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1]=>111001=>12 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>[5,4,3,7,2,6,1]=>110101=>13 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,4,3,2,5,1,7]=>[4,3,2,6,5,1,7]=>110110=>12 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>[4,3,2,6,5,7,1]=>110101=>13 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[7,4,3,2,5,6,1]=>[4,3,2,5,7,6,1]=>110011=>14 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[7,4,3,2,6,5,1]=>[4,3,7,2,6,5,1]=>101011=>15 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,4,3,5,2,1,7]=>[4,3,6,5,2,1,7]=>101110=>13 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>[4,3,6,5,2,7,1]=>101101=>14 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[7,4,3,5,2,6,1]=>[4,3,5,2,7,6,1]=>101011=>15 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[7,4,3,5,6,2,1]=>[4,3,5,7,6,2,1]=>100111=>16 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[7,4,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>010111=>17 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>011110=>14 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,5,3,4,2,7,1]=>[3,6,5,4,2,7,1]=>011101=>15 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[7,5,3,4,2,6,1]=>[3,5,4,2,7,6,1]=>011011=>16 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[7,5,3,4,6,2,1]=>[3,5,4,7,6,2,1]=>010111=>17 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>001111=>18 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[7,6,3,5,4,2,1]=>[7,3,6,5,4,2,1]=>101111=>19 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>111110=>15 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>111101=>16 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[7,5,4,3,2,6,1]=>[5,4,3,2,7,6,1]=>111011=>17 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[7,5,4,3,6,2,1]=>[5,4,3,7,6,2,1]=>110111=>18 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[7,6,4,3,5,2,1]=>[4,3,7,6,5,2,1]=>101111=>19 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1]=>011111=>20 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>111111=>21 [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]=>0000000=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,6,7]=>1000000=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>[7,1,2,3,4,5,6,8]=>1000000=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>[7,8,1,2,3,4,5,6]=>0100000=>2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,7,6]=>[8,7,1,2,3,4,5,6]=>1100000=>3 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>[6,1,2,3,4,5,7,8]=>1000000=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>[6,8,1,2,3,4,5,7]=>0100000=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]=>[6,7,1,2,3,4,5,8]=>0100000=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>[6,7,8,1,2,3,4,5]=>0010000=>3 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,7,5]=>[8,6,7,1,2,3,4,5]=>1010000=>4 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>[7,6,1,2,3,4,5,8]=>1100000=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]=>[7,6,8,1,2,3,4,5]=>1010000=>4 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,8,6,7,5]=>[6,8,7,1,2,3,4,5]=>0110000=>5 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>[8,7,6,1,2,3,4,5]=>1110000=>6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>[5,1,2,3,4,6,7,8]=>1000000=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,3,5,4,6,8,7]=>[5,8,1,2,3,4,6,7]=>0100000=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>[5,7,1,2,3,4,6,8]=>0100000=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>[5,7,8,1,2,3,4,6]=>0010000=>3 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,7,6]=>[8,5,7,1,2,3,4,6]=>1010000=>4 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,5,6,4,8,7]=>[5,6,8,1,2,3,4,7]=>0010000=>3 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>[5,6,7,1,2,3,4,8]=>0010000=>3 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>[5,6,7,8,1,2,3,4]=>0001000=>4 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,7,4]=>[8,5,6,7,1,2,3,4]=>1001000=>5 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,5,7,6,4,8]=>[7,5,6,1,2,3,4,8]=>1010000=>4 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,6,8,4]=>[7,5,6,8,1,2,3,4]=>1001000=>5 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,8,6,7,4]=>[5,8,6,7,1,2,3,4]=>0101000=>6 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]=>[8,7,5,6,1,2,3,4]=>1101000=>7 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]=>[6,5,8,1,2,3,4,7]=>1010000=>4 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,5,7,4,8]=>[6,5,7,1,2,3,4,8]=>1010000=>4 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,4]=>[6,5,7,8,1,2,3,4]=>1001000=>5 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>[6,8,5,7,1,2,3,4]=>0101000=>6 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,7,5,6,4,8]=>[5,7,6,1,2,3,4,8]=>0110000=>5 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,7,5,6,8,4]=>[5,7,6,8,1,2,3,4]=>0101000=>6 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,8,5,6,7,4]=>[5,6,8,7,1,2,3,4]=>0011000=>7 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,8,5,7,6,4]=>[8,5,7,6,1,2,3,4]=>1011000=>8 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]=>[7,6,5,1,2,3,4,8]=>1110000=>6 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>[7,6,5,8,1,2,3,4]=>1101000=>7 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,8,6,5,7,4]=>[6,5,8,7,1,2,3,4]=>1011000=>8 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,8,6,7,5,4]=>[6,8,7,5,1,2,3,4]=>0111000=>9 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>[8,7,6,5,1,2,3,4]=>1111000=>10 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>1000000=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>[4,8,1,2,3,5,6,7]=>0100000=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5,7,6,8]=>[4,7,1,2,3,5,6,8]=>0100000=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,7,8,6]=>[4,7,8,1,2,3,5,6]=>0010000=>3 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,2,4,3,5,8,7,6]=>[8,4,7,1,2,3,5,6]=>1010000=>4 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>[4,6,1,2,3,5,7,8]=>0100000=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>[4,6,8,1,2,3,5,7]=>0010000=>3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]=>[4,6,7,1,2,3,5,8]=>0010000=>3 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]=>[4,6,7,8,1,2,3,5]=>0001000=>4 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,7,5]=>[8,4,6,7,1,2,3,5]=>1001000=>5 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,2,4,3,7,6,5,8]=>[7,4,6,1,2,3,5,8]=>1010000=>4 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,2,4,3,7,6,8,5]=>[7,4,6,8,1,2,3,5]=>1001000=>5 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,2,4,3,8,6,7,5]=>[4,8,6,7,1,2,3,5]=>0101000=>6 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>[8,7,4,6,1,2,3,5]=>1101000=>7 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,2,4,5,3,6,7,8]=>[4,5,1,2,3,6,7,8]=>0100000=>2 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,2,4,5,3,6,8,7]=>[4,5,8,1,2,3,6,7]=>0010000=>3 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,2,4,5,3,7,8,6]=>[4,5,7,8,1,2,3,6]=>0001000=>4 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>[4,5,6,1,2,3,7,8]=>0010000=>3 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,6,3,8,7]=>[4,5,6,8,1,2,3,7]=>0001000=>4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,7,3,8]=>[4,5,6,7,1,2,3,8]=>0001000=>4 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,3]=>[4,5,6,7,8,1,2,3]=>0000100=>5 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,6,8,7,3]=>[8,4,5,6,7,1,2,3]=>1000100=>6 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,2,4,5,7,6,3,8]=>[7,4,5,6,1,2,3,8]=>1001000=>5 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,8,6,7,3]=>[4,8,5,6,7,1,2,3]=>0100100=>7 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,2,4,5,8,7,6,3]=>[8,7,4,5,6,1,2,3]=>1100100=>8 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,2,4,6,5,3,8,7]=>[6,4,5,8,1,2,3,7]=>1001000=>5 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,2,4,6,5,7,8,3]=>[6,4,5,7,8,1,2,3]=>1000100=>6 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,4,6,5,8,7,3]=>[6,8,4,5,7,1,2,3]=>0100100=>7 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,2,4,7,5,6,8,3]=>[4,7,5,6,8,1,2,3]=>0100100=>7 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,2,4,8,5,6,7,3]=>[4,5,8,6,7,1,2,3]=>0010100=>8 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,2,4,7,6,5,3,8]=>[7,6,4,5,1,2,3,8]=>1101000=>7 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,4,7,6,5,8,3]=>[7,6,4,5,8,1,2,3]=>1100100=>8 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,4,8,6,5,7,3]=>[8,4,6,5,7,1,2,3]=>1010100=>9 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,7,6,5,3]=>[8,7,6,4,5,1,2,3]=>1110100=>11 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,2,5,4,3,6,7,8]=>[5,4,1,2,3,6,7,8]=>1100000=>3 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,4,3,6,8,7]=>[5,4,8,1,2,3,6,7]=>1010000=>4 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,2,5,4,3,7,6,8]=>[5,4,7,1,2,3,6,8]=>1010000=>4 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,5,4,3,8,7,6]=>[5,8,4,7,1,2,3,6]=>0101000=>6 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,3]=>[5,4,6,7,8,1,2,3]=>1000100=>6 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,2,5,4,7,6,8,3]=>[5,7,4,6,8,1,2,3]=>0100100=>7 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,5,4,8,6,7,3]=>[8,5,4,6,7,1,2,3]=>1100100=>8 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,6,4,5,3,7,8]=>[4,6,5,1,2,3,7,8]=>0110000=>5 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,2,6,4,5,7,8,3]=>[4,6,5,7,8,1,2,3]=>0100100=>7 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,2,6,4,5,8,7,3]=>[4,6,8,5,7,1,2,3]=>0010100=>8 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,2,7,4,5,6,8,3]=>[4,5,7,6,8,1,2,3]=>0010100=>8 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,8,4,5,6,7,3]=>[4,5,6,8,7,1,2,3]=>0001100=>9 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,2,8,4,5,7,6,3]=>[8,4,5,7,6,1,2,3]=>1001100=>10 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,2,7,4,6,5,3,8]=>[7,4,6,5,1,2,3,8]=>1011000=>8 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,2,7,4,6,5,8,3]=>[7,4,6,5,8,1,2,3]=>1010100=>9 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,2,8,4,6,7,5,3]=>[4,8,6,7,5,1,2,3]=>0101100=>11 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,5,4,3,7,8]=>[6,5,4,1,2,3,7,8]=>1110000=>6 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,2,6,5,4,3,8,7]=>[6,5,4,8,1,2,3,7]=>1101000=>7 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,2,6,5,4,7,8,3]=>[6,5,4,7,8,1,2,3]=>1100100=>8 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,7,5,4,6,8,3]=>[5,4,7,6,8,1,2,3]=>1010100=>9 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,2,7,5,6,4,8,3]=>[5,7,6,4,8,1,2,3]=>0110100=>10 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,2,8,5,6,7,4,3]=>[5,6,8,7,4,1,2,3]=>0011100=>12 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,2,8,5,7,6,4,3]=>[8,5,7,6,4,1,2,3]=>1011100=>13 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,2,7,6,5,4,3,8]=>[7,6,5,4,1,2,3,8]=>1111000=>10 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,2,7,6,5,4,8,3]=>[7,6,5,4,8,1,2,3]=>1110100=>11 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,2,8,6,5,4,7,3]=>[6,5,4,8,7,1,2,3]=>1101100=>12 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,2,8,6,5,7,4,3]=>[6,5,8,7,4,1,2,3]=>1011100=>13 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,2,8,7,5,6,4,3]=>[5,8,7,6,4,1,2,3]=>0111100=>14 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,7,6,5,4,3]=>[8,7,6,5,4,1,2,3]=>1111100=>15 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>1000000=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,8,7]=>[3,8,1,2,4,5,6,7]=>0100000=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>[3,7,1,2,4,5,6,8]=>0100000=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,5,7,8,6]=>[3,7,8,1,2,4,5,6]=>0010000=>3 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,5,8,7,6]=>[8,3,7,1,2,4,5,6]=>1010000=>4 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]=>[3,6,1,2,4,5,7,8]=>0100000=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,2,4,6,5,8,7]=>[3,6,8,1,2,4,5,7]=>0010000=>3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,3,2,4,6,7,5,8]=>[3,6,7,1,2,4,5,8]=>0010000=>3 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>[3,6,7,8,1,2,4,5]=>0001000=>4 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,6,5,8]=>[7,3,6,1,2,4,5,8]=>1010000=>4 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>[8,7,3,6,1,2,4,5]=>1101000=>7 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>[3,5,1,2,4,6,7,8]=>0100000=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>[3,5,7,1,2,4,6,8]=>0010000=>3 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>[3,5,7,8,1,2,4,6]=>0001000=>4 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,7,6]=>[8,3,5,7,1,2,4,6]=>1001000=>5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,2,5,6,4,7,8]=>[3,5,6,1,2,4,7,8]=>0010000=>3 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,2,5,6,4,8,7]=>[3,5,6,8,1,2,4,7]=>0001000=>4 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,2,5,6,7,4,8]=>[3,5,6,7,1,2,4,8]=>0001000=>4 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,4]=>[3,5,6,7,8,1,2,4]=>0000100=>5 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,2,5,6,8,7,4]=>[8,3,5,6,7,1,2,4]=>1000100=>6 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,2,5,7,6,4,8]=>[7,3,5,6,1,2,4,8]=>1001000=>5 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,2,5,7,6,8,4]=>[7,3,5,6,8,1,2,4]=>1000100=>6 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,2,5,8,6,7,4]=>[3,8,5,6,7,1,2,4]=>0100100=>7 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,2,5,8,7,6,4]=>[8,7,3,5,6,1,2,4]=>1100100=>8 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,3,2,6,5,4,7,8]=>[6,3,5,1,2,4,7,8]=>1010000=>4 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,3,2,6,5,4,8,7]=>[6,3,5,8,1,2,4,7]=>1001000=>5 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,5,7,4,8]=>[6,3,5,7,1,2,4,8]=>1001000=>5 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,5,8,7,4]=>[6,8,3,5,7,1,2,4]=>0100100=>7 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,7,5,6,8,4]=>[3,7,5,6,8,1,2,4]=>0100100=>7 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,8,5,7,6,4]=>[8,3,7,5,6,1,2,4]=>1010100=>9 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,3,2,7,6,5,4,8]=>[7,6,3,5,1,2,4,8]=>1101000=>7 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,3,2,7,6,5,8,4]=>[7,6,3,5,8,1,2,4]=>1100100=>8 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,3,2,8,6,7,5,4]=>[6,8,7,3,5,1,2,4]=>0110100=>10 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>[8,7,6,3,5,1,2,4]=>1110100=>11 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>0100000=>2 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,4,2,5,6,8,7]=>[3,4,8,1,2,5,6,7]=>0010000=>3 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]=>[3,4,7,8,1,2,5,6]=>0001000=>4 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7]=>[3,4,6,8,1,2,5,7]=>0001000=>4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>[3,4,6,7,1,2,5,8]=>0001000=>4 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,4,2,6,7,8,5]=>[3,4,6,7,8,1,2,5]=>0000100=>5 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,4,2,7,6,5,8]=>[7,3,4,6,1,2,5,8]=>1001000=>5 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,4,2,7,6,8,5]=>[7,3,4,6,8,1,2,5]=>1000100=>6 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,4,2,8,6,7,5]=>[3,8,4,6,7,1,2,5]=>0100100=>7 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>[8,7,3,4,6,1,2,5]=>1100100=>8 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8]=>[3,4,5,1,2,6,7,8]=>0010000=>3 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,5,2,6,8,7]=>[3,4,5,8,1,2,6,7]=>0001000=>4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,5,2,7,6,8]=>[3,4,5,7,1,2,6,8]=>0001000=>4 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,2,7,8,6]=>[3,4,5,7,8,1,2,6]=>0000100=>5 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,5,2,8,7,6]=>[8,3,4,5,7,1,2,6]=>1000100=>6 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,2,7,8]=>[3,4,5,6,1,2,7,8]=>0001000=>4 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,6,2,8,7]=>[3,4,5,6,8,1,2,7]=>0000100=>5 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>[3,4,5,6,7,1,2,8]=>0000100=>5 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,2]=>[3,4,5,6,7,8,1,2]=>0000010=>6 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,8,7,2]=>[8,3,4,5,6,7,1,2]=>1000010=>7 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,5,7,6,8,2]=>[7,3,4,5,6,8,1,2]=>1000010=>7 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,8,7,6,2]=>[8,7,3,4,5,6,1,2]=>1100010=>9 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,4,6,5,2,8,7]=>[6,3,4,5,8,1,2,7]=>1000100=>6 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,4,6,5,7,2,8]=>[6,3,4,5,7,1,2,8]=>1000100=>6 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,4,6,5,7,8,2]=>[6,3,4,5,7,8,1,2]=>1000010=>7 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,4,6,5,8,7,2]=>[6,8,3,4,5,7,1,2]=>0100010=>8 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,4,7,5,6,8,2]=>[3,7,4,5,6,8,1,2]=>0100010=>8 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,4,8,5,6,7,2]=>[3,4,8,5,6,7,1,2]=>0010010=>9 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,4,7,6,5,8,2]=>[7,6,3,4,5,8,1,2]=>1100010=>9 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,4,8,6,7,5,2]=>[6,8,7,3,4,5,1,2]=>0110010=>11 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,7,6,5,2]=>[8,7,6,3,4,5,1,2]=>1110010=>12 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,3,5,4,2,6,7,8]=>[5,3,4,1,2,6,7,8]=>1010000=>4 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,3,5,4,2,7,6,8]=>[5,3,4,7,1,2,6,8]=>1001000=>5 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,3,5,4,2,7,8,6]=>[5,3,4,7,8,1,2,6]=>1000100=>6 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,3,5,4,6,7,8,2]=>[5,3,4,6,7,8,1,2]=>1000010=>7 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,2,8]=>[5,7,3,4,6,1,2,8]=>0100100=>7 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,3,5,4,7,6,8,2]=>[5,7,3,4,6,8,1,2]=>0100010=>8 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,6,4,5,8,7,2]=>[3,6,8,4,5,7,1,2]=>0010010=>9 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,3,7,4,5,6,2,8]=>[3,4,7,5,6,1,2,8]=>0010100=>8 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,8,4,5,6,7,2]=>[3,4,5,8,6,7,1,2]=>0001010=>10 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,8,4,6,7,5,2]=>[3,8,6,7,4,5,1,2]=>0101010=>12 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,3,7,5,4,6,8,2]=>[7,3,5,4,6,8,1,2]=>1010010=>10 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,8,5,4,6,7,2]=>[5,3,4,8,6,7,1,2]=>1001010=>11 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,3,8,5,4,7,6,2]=>[3,8,5,7,4,6,1,2]=>0101010=>12 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,3,7,5,6,4,2,8]=>[5,7,6,3,4,1,2,8]=>0110100=>10 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,3,8,5,6,4,7,2]=>[3,8,5,6,4,7,1,2]=>0101010=>12 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,8,5,6,7,4,2]=>[5,6,8,7,3,4,1,2]=>0011010=>13 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,8,5,7,6,4,2]=>[8,5,7,6,3,4,1,2]=>1011010=>14 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,3,7,6,5,4,2,8]=>[7,6,5,3,4,1,2,8]=>1110100=>11 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,8,6,5,7,4,2]=>[6,5,8,7,3,4,1,2]=>1011010=>14 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,8,7,5,6,4,2]=>[5,8,7,6,3,4,1,2]=>0111010=>15 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]=>[8,7,6,5,3,4,1,2]=>1111010=>16 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>1100000=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,4,3,2,5,7,8,6]=>[4,3,7,8,1,2,5,6]=>1001000=>5 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,3,2,5,8,7,6]=>[4,8,3,7,1,2,5,6]=>0101000=>6 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,4,3,2,6,5,8,7]=>[4,3,6,8,1,2,5,7]=>1001000=>5 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]=>[4,3,6,7,8,1,2,5]=>1000100=>6 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,4,3,2,6,8,7,5]=>[4,8,3,6,7,1,2,5]=>0100100=>7 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>[4,7,3,6,1,2,5,8]=>0101000=>6 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,4,3,2,7,6,8,5]=>[4,7,3,6,8,1,2,5]=>0100100=>7 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>[8,4,7,3,6,1,2,5]=>1010100=>9 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,4,3,5,2,6,7,8]=>[4,3,5,1,2,6,7,8]=>1010000=>4 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,4,3,5,2,6,8,7]=>[4,3,5,8,1,2,6,7]=>1001000=>5 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,3,5,2,7,6,8]=>[4,3,5,7,1,2,6,8]=>1001000=>5 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,4,3,5,2,8,7,6]=>[4,8,3,5,7,1,2,6]=>0100100=>7 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,4,3,5,6,2,7,8]=>[4,3,5,6,1,2,7,8]=>1001000=>5 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,7,2,8]=>[4,3,5,6,7,1,2,8]=>1000100=>6 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,2]=>[4,3,5,6,7,8,1,2]=>1000010=>7 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,4,3,5,6,8,7,2]=>[4,8,3,5,6,7,1,2]=>0100010=>8 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,3,5,7,6,2,8]=>[4,7,3,5,6,1,2,8]=>0100100=>7 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,4,3,5,8,6,7,2]=>[8,4,3,5,6,7,1,2]=>1100010=>9 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]=>[4,6,3,5,1,2,7,8]=>0101000=>6 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,3,6,5,7,2,8]=>[4,6,3,5,7,1,2,8]=>0100100=>7 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,4,3,6,5,7,8,2]=>[4,6,3,5,7,8,1,2]=>0100010=>8 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>[4,6,8,3,5,7,1,2]=>0010010=>9 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,3,8,5,6,7,2]=>[4,3,8,5,6,7,1,2]=>1010010=>10 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,3,8,5,7,6,2]=>[4,8,7,3,5,6,1,2]=>0110010=>11 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,4,3,8,6,5,7,2]=>[4,8,6,3,5,7,1,2]=>0110010=>11 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,3,8,6,7,5,2]=>[4,8,6,7,3,5,1,2]=>0101010=>12 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>[8,7,4,6,3,5,1,2]=>1101010=>13 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,5,3,4,2,7,6,8]=>[3,5,4,7,1,2,6,8]=>0101000=>6 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,5,3,4,2,7,8,6]=>[3,5,4,7,8,1,2,6]=>0100100=>7 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,5,3,4,6,2,8,7]=>[3,5,4,6,8,1,2,7]=>0100100=>7 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,5,3,4,6,7,8,2]=>[3,5,4,6,7,8,1,2]=>0100010=>8 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,5,3,4,7,6,2,8]=>[3,5,7,4,6,1,2,8]=>0010100=>8 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,5,3,4,7,6,8,2]=>[3,5,7,4,6,8,1,2]=>0010010=>9 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,6,3,4,5,2,7,8]=>[3,4,6,5,1,2,7,8]=>0011000=>7 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,6,3,4,5,7,2,8]=>[3,4,6,5,7,1,2,8]=>0010100=>8 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,6,3,4,5,7,8,2]=>[3,4,6,5,7,8,1,2]=>0010010=>9 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,6,3,4,5,8,7,2]=>[3,4,6,8,5,7,1,2]=>0001010=>10 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,7,3,4,5,6,8,2]=>[3,4,5,7,6,8,1,2]=>0001010=>10 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,8,3,4,5,6,7,2]=>[3,4,5,6,8,7,1,2]=>0000110=>11 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,8,3,4,5,7,6,2]=>[8,3,4,5,7,6,1,2]=>1000110=>12 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,8,3,4,7,6,5,2]=>[8,7,3,4,6,5,1,2]=>1100110=>14 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,6,3,5,4,7,2,8]=>[6,3,5,4,7,1,2,8]=>1010100=>9 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,6,3,5,4,8,7,2]=>[6,3,5,8,4,7,1,2]=>1001010=>11 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,7,3,5,4,6,2,8]=>[5,3,4,7,6,1,2,8]=>1001100=>10 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,7,3,5,6,4,8,2]=>[3,7,5,6,4,8,1,2]=>0101010=>12 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,8,3,5,6,7,4,2]=>[3,5,8,6,7,4,1,2]=>0010110=>14 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,7,3,6,5,4,8,2]=>[7,6,3,5,4,8,1,2]=>1101010=>13 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,8,3,6,5,4,7,2]=>[6,5,3,4,8,7,1,2]=>1100110=>14 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,8,3,7,5,6,4,2]=>[3,8,7,5,6,4,1,2]=>0110110=>16 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,8,3,7,6,5,4,2]=>[8,7,6,3,5,4,1,2]=>1110110=>17 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,5,4,3,2,6,7,8]=>[5,4,3,1,2,6,7,8]=>1110000=>6 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,5,4,3,2,6,8,7]=>[5,4,3,8,1,2,6,7]=>1101000=>7 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,5,4,3,2,7,6,8]=>[5,4,3,7,1,2,6,8]=>1101000=>7 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,5,4,3,2,7,8,6]=>[5,4,3,7,8,1,2,6]=>1100100=>8 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,5,4,3,2,8,7,6]=>[5,4,8,3,7,1,2,6]=>1010100=>9 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,4,3,6,2,7,8]=>[5,4,3,6,1,2,7,8]=>1101000=>7 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,4,3,6,7,8,2]=>[5,4,3,6,7,8,1,2]=>1100010=>9 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,4,3,6,8,7,2]=>[5,4,8,3,6,7,1,2]=>1010010=>10 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,5,4,3,7,6,8,2]=>[5,4,7,3,6,8,1,2]=>1010010=>10 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,5,4,3,8,7,6,2]=>[5,8,4,7,3,6,1,2]=>0101010=>12 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,6,4,3,5,2,7,8]=>[4,3,6,5,1,2,7,8]=>1011000=>8 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,6,4,3,5,8,7,2]=>[4,3,6,8,5,7,1,2]=>1001010=>11 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,8,4,3,5,6,7,2]=>[4,3,5,6,8,7,1,2]=>1000110=>12 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,8,4,3,5,7,6,2]=>[4,8,3,5,7,6,1,2]=>0100110=>13 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,7,4,3,6,5,2,8]=>[4,7,3,6,5,1,2,8]=>0101100=>11 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,7,4,3,6,5,8,2]=>[4,7,3,6,5,8,1,2]=>0101010=>12 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,8,4,3,6,5,7,2]=>[4,6,3,5,8,7,1,2]=>0100110=>13 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,8,4,3,7,6,5,2]=>[8,4,7,3,6,5,1,2]=>1010110=>15 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,6,4,5,3,2,7,8]=>[4,6,5,3,1,2,7,8]=>0111000=>9 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,6,4,5,3,8,7,2]=>[4,6,5,8,3,7,1,2]=>0101010=>12 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,7,4,5,3,6,8,2]=>[4,5,3,7,6,8,1,2]=>0101010=>12 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,8,4,5,3,6,7,2]=>[4,5,3,6,8,7,1,2]=>0100110=>13 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,8,4,5,3,7,6,2]=>[4,5,8,3,7,6,1,2]=>0010110=>14 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,8,4,5,6,3,7,2]=>[4,5,6,3,8,7,1,2]=>0010110=>14 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,8,4,5,6,7,3,2]=>[4,5,6,8,7,3,1,2]=>0001110=>15 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,8,4,6,5,3,7,2]=>[6,4,5,3,8,7,1,2]=>1010110=>15 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,8,4,6,5,7,3,2]=>[6,4,5,8,7,3,1,2]=>1001110=>16 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,8,4,7,5,6,3,2]=>[4,8,5,7,6,3,1,2]=>0101110=>17 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,8,4,7,6,5,3,2]=>[8,7,4,6,5,3,1,2]=>1101110=>18 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,6,5,4,3,2,7,8]=>[6,5,4,3,1,2,7,8]=>1111000=>10 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,6,5,4,3,2,8,7]=>[6,5,4,3,8,1,2,7]=>1110100=>11 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,6,5,4,3,7,2,8]=>[6,5,4,3,7,1,2,8]=>1110100=>11 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,6,5,4,3,7,8,2]=>[6,5,4,3,7,8,1,2]=>1110010=>12 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]=>[6,5,4,8,3,7,1,2]=>1101010=>13 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,7,5,4,3,6,2,8]=>[5,4,3,7,6,1,2,8]=>1101100=>12 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,7,5,4,3,6,8,2]=>[5,4,3,7,6,8,1,2]=>1101010=>13 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,8,5,4,3,6,7,2]=>[5,4,3,6,8,7,1,2]=>1100110=>14 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,8,5,4,3,7,6,2]=>[5,4,8,3,7,6,1,2]=>1010110=>15 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,7,5,4,6,3,8,2]=>[5,4,7,6,3,8,1,2]=>1011010=>14 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,8,5,4,6,3,7,2]=>[5,4,6,3,8,7,1,2]=>1010110=>15 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,8,5,4,6,7,3,2]=>[5,4,6,8,7,3,1,2]=>1001110=>16 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,8,5,4,7,6,3,2]=>[5,8,4,7,6,3,1,2]=>0101110=>17 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,7,6,4,5,3,2,8]=>[4,7,6,5,3,1,2,8]=>0111100=>14 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,8,6,4,5,3,7,2]=>[4,6,5,3,8,7,1,2]=>0110110=>16 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,8,6,4,5,7,3,2]=>[4,6,5,8,7,3,1,2]=>0101110=>17 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,8,7,4,5,6,3,2]=>[4,5,8,7,6,3,1,2]=>0011110=>18 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,8,7,4,6,5,3,2]=>[8,4,7,6,5,3,1,2]=>1011110=>19 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,7,6,5,4,3,2,8]=>[7,6,5,4,3,1,2,8]=>1111100=>15 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,7,6,5,4,3,8,2]=>[7,6,5,4,3,8,1,2]=>1111010=>16 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,8,6,5,4,3,7,2]=>[6,5,4,3,8,7,1,2]=>1110110=>17 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,8,6,5,4,7,3,2]=>[6,5,4,8,7,3,1,2]=>1101110=>18 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,8,7,5,4,6,3,2]=>[5,4,8,7,6,3,1,2]=>1011110=>19 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,8,7,5,6,4,3,2]=>[5,8,7,6,4,3,1,2]=>0111110=>20 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2]=>1111110=>21 [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]=>1000000=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>[2,8,1,3,4,5,6,7]=>0100000=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,7,6,8]=>[2,7,1,3,4,5,6,8]=>0100000=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,7,8,6]=>[2,7,8,1,3,4,5,6]=>0010000=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>[2,6,1,3,4,5,7,8]=>0100000=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,6,5,8,7]=>[2,6,8,1,3,4,5,7]=>0010000=>3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,4,6,7,5,8]=>[2,6,7,1,3,4,5,8]=>0010000=>3 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>[2,6,7,8,1,3,4,5]=>0001000=>4 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,4,6,8,7,5]=>[8,2,6,7,1,3,4,5]=>1001000=>5 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>[8,7,2,6,1,3,4,5]=>1101000=>7 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,3,5,4,6,7,8]=>[2,5,1,3,4,6,7,8]=>0100000=>2 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>[2,5,8,1,3,4,6,7]=>0010000=>3 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,3,5,4,7,8,6]=>[2,5,7,8,1,3,4,6]=>0001000=>4 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,8,7,6]=>[8,2,5,7,1,3,4,6]=>1001000=>5 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,3,5,6,4,8,7]=>[2,5,6,8,1,3,4,7]=>0001000=>4 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,4]=>[2,5,6,7,8,1,3,4]=>0000100=>5 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,3,5,6,8,7,4]=>[8,2,5,6,7,1,3,4]=>1000100=>6 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,3,5,7,6,8,4]=>[7,2,5,6,8,1,3,4]=>1000100=>6 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,3,5,8,6,7,4]=>[2,8,5,6,7,1,3,4]=>0100100=>7 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,3,5,8,7,6,4]=>[8,7,2,5,6,1,3,4]=>1100100=>8 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,6,5,4,8,7]=>[6,2,5,8,1,3,4,7]=>1001000=>5 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,3,6,5,7,8,4]=>[6,2,5,7,8,1,3,4]=>1000100=>6 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,3,6,5,8,7,4]=>[6,8,2,5,7,1,3,4]=>0100100=>7 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,3,7,5,6,8,4]=>[2,7,5,6,8,1,3,4]=>0100100=>7 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,3,8,5,6,7,4]=>[2,5,8,6,7,1,3,4]=>0010100=>8 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,3,8,5,7,6,4]=>[8,2,7,5,6,1,3,4]=>1010100=>9 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,3,8,6,5,7,4]=>[8,2,6,5,7,1,3,4]=>1010100=>9 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,3,8,6,7,5,4]=>[6,8,7,2,5,1,3,4]=>0110100=>10 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]=>[8,7,6,2,5,1,3,4]=>1110100=>11 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>0100000=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]=>[2,4,8,1,3,5,6,7]=>0010000=>3 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,4,3,5,7,8,6]=>[2,4,7,8,1,3,5,6]=>0001000=>4 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,4,3,5,8,7,6]=>[8,2,4,7,1,3,5,6]=>1001000=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>[2,4,6,1,3,5,7,8]=>0010000=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>[2,4,6,8,1,3,5,7]=>0001000=>4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,3,6,7,5,8]=>[2,4,6,7,1,3,5,8]=>0001000=>4 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,5]=>[2,4,6,7,8,1,3,5]=>0000100=>5 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>[8,2,4,6,7,1,3,5]=>1000100=>6 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,4,3,7,6,5,8]=>[7,2,4,6,1,3,5,8]=>1001000=>5 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,4,3,7,6,8,5]=>[7,2,4,6,8,1,3,5]=>1000100=>6 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,4,3,8,6,7,5]=>[2,8,4,6,7,1,3,5]=>0100100=>7 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>[8,7,2,4,6,1,3,5]=>1100100=>8 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[2,1,4,5,3,6,7,8]=>[2,4,5,1,3,6,7,8]=>0010000=>3 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[2,1,4,5,3,6,8,7]=>[2,4,5,8,1,3,6,7]=>0001000=>4 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3,7,8,6]=>[2,4,5,7,8,1,3,6]=>0000100=>5 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,6,3,7,8]=>[2,4,5,6,1,3,7,8]=>0001000=>4 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>[2,4,5,6,8,1,3,7]=>0000100=>5 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,3,8]=>[2,4,5,6,7,1,3,8]=>0000100=>5 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,3]=>[2,4,5,6,7,8,1,3]=>0000010=>6 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[2,1,4,5,7,6,8,3]=>[7,2,4,5,6,8,1,3]=>1000010=>7 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[2,1,4,5,8,6,7,3]=>[2,8,4,5,6,7,1,3]=>0100010=>8 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,5,3,7,8]=>[6,2,4,5,1,3,7,8]=>1001000=>5 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[2,1,4,6,5,3,8,7]=>[6,2,4,5,8,1,3,7]=>1000100=>6 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[2,1,4,6,5,7,8,3]=>[6,2,4,5,7,8,1,3]=>1000010=>7 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]=>[6,8,2,4,5,7,1,3]=>0100010=>8 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[2,1,4,7,5,6,8,3]=>[2,7,4,5,6,8,1,3]=>0100010=>8 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[2,1,4,8,5,6,7,3]=>[2,4,8,5,6,7,1,3]=>0010010=>9 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[2,1,4,8,5,7,6,3]=>[8,2,7,4,5,6,1,3]=>1010010=>10 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,4,7,6,5,8,3]=>[7,6,2,4,5,8,1,3]=>1100010=>9 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]=>[8,7,6,2,4,5,1,3]=>1110010=>12 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[2,1,5,4,3,6,7,8]=>[5,2,4,1,3,6,7,8]=>1010000=>4 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,4,3,6,8,7]=>[5,2,4,8,1,3,6,7]=>1001000=>5 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[2,1,5,4,3,7,6,8]=>[5,2,4,7,1,3,6,8]=>1001000=>5 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[2,1,5,4,3,7,8,6]=>[5,2,4,7,8,1,3,6]=>1000100=>6 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,5,4,3,8,7,6]=>[5,8,2,4,7,1,3,6]=>0100100=>7 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[2,1,5,4,6,3,8,7]=>[5,2,4,6,8,1,3,7]=>1000100=>6 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[2,1,5,4,6,7,3,8]=>[5,2,4,6,7,1,3,8]=>1000100=>6 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[2,1,5,4,6,8,7,3]=>[5,8,2,4,6,7,1,3]=>0100010=>8 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]=>[5,7,2,4,6,8,1,3]=>0100010=>8 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[2,1,6,4,5,3,7,8]=>[2,6,4,5,1,3,7,8]=>0101000=>6 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[2,1,6,4,5,3,8,7]=>[2,6,4,5,8,1,3,7]=>0100100=>7 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[2,1,6,4,5,7,3,8]=>[2,6,4,5,7,1,3,8]=>0100100=>7 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[2,1,6,4,5,7,8,3]=>[2,6,4,5,7,8,1,3]=>0100010=>8 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,6,4,5,8,7,3]=>[2,6,8,4,5,7,1,3]=>0010010=>9 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[2,1,7,4,5,6,8,3]=>[2,4,7,5,6,8,1,3]=>0010010=>9 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[2,1,8,4,5,6,7,3]=>[2,4,5,8,6,7,1,3]=>0001010=>10 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[2,1,7,4,6,5,8,3]=>[7,2,6,4,5,8,1,3]=>1010010=>10 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[2,1,8,4,6,7,5,3]=>[2,8,6,7,4,5,1,3]=>0101010=>12 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[2,1,8,4,7,6,5,3]=>[8,7,2,6,4,5,1,3]=>1101010=>13 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>[6,5,2,4,8,1,3,7]=>1100100=>8 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[2,1,6,5,4,7,8,3]=>[6,5,2,4,7,8,1,3]=>1100010=>9 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[2,1,7,5,4,6,8,3]=>[7,2,5,4,6,8,1,3]=>1010010=>10 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,8,5,4,6,7,3]=>[5,2,4,8,6,7,1,3]=>1001010=>11 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,8,5,4,7,6,3]=>[2,8,5,7,4,6,1,3]=>0101010=>12 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,7,5,6,4,8,3]=>[5,7,6,2,4,8,1,3]=>0110010=>11 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[2,1,8,5,6,7,4,3]=>[5,6,8,7,2,4,1,3]=>0011010=>13 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[2,1,7,6,5,4,8,3]=>[7,6,5,2,4,8,1,3]=>1110010=>12 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[2,1,8,6,5,7,4,3]=>[6,5,8,7,2,4,1,3]=>1011010=>14 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,8,7,5,6,4,3]=>[5,8,7,6,2,4,1,3]=>0111010=>15 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>[8,7,6,5,2,4,1,3]=>1111010=>16 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>0100000=>2 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,8,7]=>[2,3,8,1,4,5,6,7]=>0010000=>3 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,5,7,6,8]=>[2,3,7,1,4,5,6,8]=>0010000=>3 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>[2,3,7,8,1,4,5,6]=>0001000=>4 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,5,8,7,6]=>[8,2,3,7,1,4,5,6]=>1001000=>5 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,3,1,4,6,5,7,8]=>[2,3,6,1,4,5,7,8]=>0010000=>3 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,3,1,4,6,5,8,7]=>[2,3,6,8,1,4,5,7]=>0001000=>4 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,3,1,4,6,7,5,8]=>[2,3,6,7,1,4,5,8]=>0001000=>4 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,1,4,6,7,8,5]=>[2,3,6,7,8,1,4,5]=>0000100=>5 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,3,1,4,6,8,7,5]=>[8,2,3,6,7,1,4,5]=>1000100=>6 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,3,1,4,7,6,8,5]=>[7,2,3,6,8,1,4,5]=>1000100=>6 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>[8,7,2,3,6,1,4,5]=>1100100=>8 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,3,1,5,4,6,7,8]=>[2,3,5,1,4,6,7,8]=>0010000=>3 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>[2,3,5,7,1,4,6,8]=>0001000=>4 [1,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,4,7,8,6]=>[2,3,5,7,8,1,4,6]=>0000100=>5 [1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,3,1,5,6,4,7,8]=>[2,3,5,6,1,4,7,8]=>0001000=>4 [1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,6,4,8,7]=>[2,3,5,6,8,1,4,7]=>0000100=>5 [1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,3,1,5,6,7,4,8]=>[2,3,5,6,7,1,4,8]=>0000100=>5 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>[2,3,5,6,7,8,1,4]=>0000010=>6 [1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,3,1,5,6,8,7,4]=>[8,2,3,5,6,7,1,4]=>1000010=>7 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,3,1,5,8,6,7,4]=>[2,8,3,5,6,7,1,4]=>0100010=>8 [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,1,6,5,4,8,7]=>[6,2,3,5,8,1,4,7]=>1000100=>6 [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,5,7,4,8]=>[6,2,3,5,7,1,4,8]=>1000100=>6 [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,5,8,7,4]=>[6,8,2,3,5,7,1,4]=>0100010=>8 [1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,3,1,8,5,6,7,4]=>[2,3,8,5,6,7,1,4]=>0010010=>9 [1,1,0,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,3,1,7,6,5,4,8]=>[7,6,2,3,5,1,4,8]=>1100100=>8 [1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,3,1,7,6,5,8,4]=>[7,6,2,3,5,8,1,4]=>1100010=>9 [1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,3,1,8,6,5,7,4]=>[8,2,6,3,5,7,1,4]=>1010010=>10 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,1,8,6,7,5,4]=>[6,8,7,2,3,5,1,4]=>0110010=>11 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>0010000=>3 [1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,1,5,6,8,7]=>[2,3,4,8,1,5,6,7]=>0001000=>4 [1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,4,1,5,7,6,8]=>[2,3,4,7,1,5,6,8]=>0001000=>4 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,4,1,5,7,8,6]=>[2,3,4,7,8,1,5,6]=>0000100=>5 [1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,4,1,5,8,7,6]=>[8,2,3,4,7,1,5,6]=>1000100=>6 [1,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,1,6,5,7,8]=>[2,3,4,6,1,5,7,8]=>0001000=>4 [1,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,1,6,5,8,7]=>[2,3,4,6,8,1,5,7]=>0000100=>5 [1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,4,1,6,7,5,8]=>[2,3,4,6,7,1,5,8]=>0000100=>5 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>[2,3,4,6,7,8,1,5]=>0000010=>6 [1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,4,1,6,8,7,5]=>[8,2,3,4,6,7,1,5]=>1000010=>7 [1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,4,1,7,6,8,5]=>[7,2,3,4,6,8,1,5]=>1000010=>7 [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>[8,7,2,3,4,6,1,5]=>1100010=>9 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>0001000=>4 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,8,7]=>[2,3,4,5,8,1,6,7]=>0000100=>5 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,1,7,6,8]=>[2,3,4,5,7,1,6,8]=>0000100=>5 [1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,5,1,7,8,6]=>[2,3,4,5,7,8,1,6]=>0000010=>6 [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]=>[8,2,3,4,5,7,1,6]=>1000010=>7 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7,8]=>0000100=>5 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,1,8,7]=>[2,3,4,5,6,8,1,7]=>0000010=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1,8]=>0000010=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,1]=>0000001=>7 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>[8,2,3,4,5,6,7,1]=>1000001=>8 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,7,6,1,8]=>[7,2,3,4,5,6,1,8]=>1000010=>7 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,7,6,8,1]=>[7,2,3,4,5,6,8,1]=>1000001=>8 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,8,6,7,1]=>[2,8,3,4,5,6,7,1]=>0100001=>9 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,8,7,6,1]=>[8,7,2,3,4,5,6,1]=>1100001=>10 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,6,5,1,7,8]=>[6,2,3,4,5,1,7,8]=>1000100=>6 [1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,4,6,5,1,8,7]=>[6,2,3,4,5,8,1,7]=>1000010=>7 [1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,4,6,5,7,1,8]=>[6,2,3,4,5,7,1,8]=>1000010=>7 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>[6,2,3,4,5,7,8,1]=>1000001=>8 [1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,4,7,5,6,1,8]=>[2,7,3,4,5,6,1,8]=>0100010=>8 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,8,5,6,7,1]=>[2,3,8,4,5,6,7,1]=>0010001=>10 [1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,4,8,5,7,6,1]=>[8,2,7,3,4,5,6,1]=>1010001=>11 [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]=>[7,6,2,3,4,5,1,8]=>1100010=>9 [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,6,5,8,1]=>[7,6,2,3,4,5,8,1]=>1100001=>10 [1,1,0,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,4,8,6,5,7,1]=>[8,2,6,3,4,5,7,1]=>1010001=>11 [1,1,0,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,4,8,6,7,5,1]=>[6,8,7,2,3,4,5,1]=>0110001=>12 [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,7,6,5,1]=>[8,7,6,2,3,4,5,1]=>1110001=>13 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>1001000=>5 [1,1,0,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,3,5,4,1,6,8,7]=>[5,2,3,4,8,1,6,7]=>1000100=>6 [1,1,0,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,3,5,4,1,7,6,8]=>[5,2,3,4,7,1,6,8]=>1000100=>6 [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,4,1,8,7,6]=>[5,8,2,3,4,7,1,6]=>0100010=>8 [1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,3,5,4,6,1,7,8]=>[5,2,3,4,6,1,7,8]=>1000100=>6 [1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,3,5,4,6,7,1,8]=>[5,2,3,4,6,7,1,8]=>1000010=>7 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,3,5,4,6,7,8,1]=>[5,2,3,4,6,7,8,1]=>1000001=>8 [1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,3,5,4,7,6,8,1]=>[5,7,2,3,4,6,8,1]=>0100001=>9 [1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,3,5,4,8,6,7,1]=>[8,5,2,3,4,6,7,1]=>1100001=>10 [1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,3,6,4,5,1,7,8]=>[2,6,3,4,5,1,7,8]=>0100100=>7 [1,1,0,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,3,6,4,5,1,8,7]=>[2,6,3,4,5,8,1,7]=>0100010=>8 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,6,4,5,7,8,1]=>[2,6,3,4,5,7,8,1]=>0100001=>9 [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,7,4,5,6,8,1]=>[2,3,7,4,5,6,8,1]=>0010001=>10 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,8,4,5,6,7,1]=>[2,3,4,8,5,6,7,1]=>0001001=>11 [1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,3,8,4,5,7,6,1]=>[8,2,3,7,4,5,6,1]=>1001001=>12 [1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,3,7,4,6,5,1,8]=>[7,2,6,3,4,5,1,8]=>1010010=>10 [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,7,4,6,5,8,1]=>[7,2,6,3,4,5,8,1]=>1010001=>11 [1,1,0,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,3,6,5,4,1,7,8]=>[6,5,2,3,4,1,7,8]=>1100100=>8 [1,1,0,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,3,6,5,4,1,8,7]=>[6,5,2,3,4,8,1,7]=>1100010=>9 [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,1]=>[6,5,2,3,4,7,8,1]=>1100001=>10 [1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,3,7,5,4,6,1,8]=>[7,2,5,3,4,6,1,8]=>1010010=>10 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,3,8,5,4,6,7,1]=>[8,2,3,5,4,6,7,1]=>1001001=>12 [1,1,0,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,3,8,5,4,7,6,1]=>[2,8,5,7,3,4,6,1]=>0101001=>13 [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,7,5,6,4,1,8]=>[5,7,6,2,3,4,1,8]=>0110010=>11 [1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,3,8,5,6,4,7,1]=>[2,8,5,6,3,4,7,1]=>0101001=>13 [1,1,0,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,3,8,5,7,6,4,1]=>[8,5,7,6,2,3,4,1]=>1011001=>15 [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]=>[7,6,5,2,3,4,1,8]=>1110010=>12 [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>[7,6,5,2,3,4,8,1]=>1110001=>13 [1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,3,8,6,5,4,7,1]=>[8,6,2,5,3,4,7,1]=>1101001=>14 [1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,3,8,6,5,7,4,1]=>[6,5,8,7,2,3,4,1]=>1011001=>15 [1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,3,8,7,5,6,4,1]=>[5,8,7,6,2,3,4,1]=>0111001=>16 [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,7,6,5,4,1]=>[8,7,6,5,2,3,4,1]=>1111001=>17 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>1010000=>4 [1,1,0,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[2,4,3,1,5,6,8,7]=>[4,2,3,8,1,5,6,7]=>1001000=>5 [1,1,0,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[2,4,3,1,6,5,8,7]=>[4,2,3,6,8,1,5,7]=>1000100=>6 [1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[2,4,3,1,6,7,8,5]=>[4,2,3,6,7,8,1,5]=>1000010=>7 [1,1,0,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[2,4,3,1,6,8,7,5]=>[4,8,2,3,6,7,1,5]=>0100010=>8 [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>[4,7,2,3,6,8,1,5]=>0100010=>8 [1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[2,4,3,1,8,6,7,5]=>[8,4,2,3,6,7,1,5]=>1100010=>9 [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>[8,4,7,2,3,6,1,5]=>1010010=>10 [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]=>[4,2,3,5,1,6,7,8]=>1001000=>5 [1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[2,4,3,5,1,6,8,7]=>[4,2,3,5,8,1,6,7]=>1000100=>6 [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,3,5,1,8,7,6]=>[4,8,2,3,5,7,1,6]=>0100010=>8 [1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[2,4,3,5,6,1,7,8]=>[4,2,3,5,6,1,7,8]=>1000100=>6 [1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[2,4,3,5,6,1,8,7]=>[4,2,3,5,6,8,1,7]=>1000010=>7 [1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,7,1,8]=>[4,2,3,5,6,7,1,8]=>1000010=>7 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]=>[4,2,3,5,6,7,8,1]=>1000001=>8 [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,8,7,1]=>[4,8,2,3,5,6,7,1]=>0100001=>9 [1,1,0,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[2,4,3,5,7,6,1,8]=>[4,7,2,3,5,6,1,8]=>0100010=>8 [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,4,3,5,8,6,7,1]=>[8,4,2,3,5,6,7,1]=>1100001=>10 [1,1,0,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,6,5,1,7,8]=>[4,6,2,3,5,1,7,8]=>0100100=>7 [1,1,0,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,6,5,1,8,7]=>[4,6,2,3,5,8,1,7]=>0100010=>8 [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,6,5,7,1,8]=>[4,6,2,3,5,7,1,8]=>0100010=>8 [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>[4,6,8,2,3,5,7,1]=>0010001=>10 [1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[2,4,3,7,5,6,1,8]=>[7,4,2,3,5,6,1,8]=>1100010=>9 [1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[2,4,3,7,5,6,8,1]=>[7,4,2,3,5,6,8,1]=>1100001=>10 [1,1,0,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[2,4,3,7,6,5,1,8]=>[7,4,6,2,3,5,1,8]=>1010010=>10 [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,7,6,5,8,1]=>[7,4,6,2,3,5,8,1]=>1010001=>11 [1,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[2,4,3,8,6,7,5,1]=>[4,8,6,7,2,3,5,1]=>0101001=>13 [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,3,8,7,6,5,1]=>[8,7,4,6,2,3,5,1]=>1101001=>14 [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,5,3,4,1,6,7,8]=>[2,5,3,4,1,6,7,8]=>0101000=>6 [1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[2,5,3,4,6,1,8,7]=>[2,5,3,4,6,8,1,7]=>0100010=>8 [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,5,3,4,6,7,1,8]=>[2,5,3,4,6,7,1,8]=>0100010=>8 [1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[2,5,3,4,6,7,8,1]=>[2,5,3,4,6,7,8,1]=>0100001=>9 [1,1,0,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[2,5,3,4,6,8,7,1]=>[2,5,8,3,4,6,7,1]=>0010001=>10 [1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[2,5,3,4,8,6,7,1]=>[5,2,8,3,4,6,7,1]=>1010001=>11 [1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[2,6,3,4,5,1,7,8]=>[2,3,6,4,5,1,7,8]=>0010100=>8 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,6,3,4,5,7,8,1]=>[2,3,6,4,5,7,8,1]=>0010001=>10 [1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[2,6,3,4,5,8,7,1]=>[2,3,6,8,4,5,7,1]=>0001001=>11 [1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[2,7,3,4,5,6,1,8]=>[2,3,4,7,5,6,1,8]=>0001010=>10 [1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,7,3,4,5,6,8,1]=>[2,3,4,7,5,6,8,1]=>0001001=>11 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,8,3,4,5,6,7,1]=>[2,3,4,5,8,6,7,1]=>0000101=>12 [1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[2,8,3,4,6,7,5,1]=>[2,8,3,6,7,4,5,1]=>0100101=>14 [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,6,3,5,4,1,8,7]=>[6,2,5,3,4,8,1,7]=>1010010=>10 [1,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[2,6,3,5,4,8,7,1]=>[6,2,5,8,3,4,7,1]=>1001001=>12 [1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[2,7,3,5,4,6,1,8]=>[7,2,3,5,4,6,1,8]=>1001010=>11 [1,1,0,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[2,8,3,5,4,6,7,1]=>[5,2,3,4,8,6,7,1]=>1000101=>13 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[2,7,3,5,6,4,1,8]=>[2,7,5,6,3,4,1,8]=>0101010=>12 [1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[2,8,3,5,6,7,4,1]=>[2,5,8,6,7,3,4,1]=>0010101=>15 [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,8,3,5,7,6,4,1]=>[8,2,7,5,6,3,4,1]=>1010101=>16 [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,7,3,6,5,4,1,8]=>[7,6,2,5,3,4,1,8]=>1101010=>13 [1,1,0,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[2,8,3,6,5,7,4,1]=>[8,2,6,5,7,3,4,1]=>1010101=>16 [1,1,0,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[2,8,3,7,5,6,4,1]=>[2,8,7,5,6,3,4,1]=>0110101=>17 [1,1,0,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[2,8,3,7,6,5,4,1]=>[8,7,6,2,5,3,4,1]=>1110101=>18 [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>[5,4,2,3,1,6,7,8]=>1101000=>7 [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,5,4,3,1,6,8,7]=>[5,4,2,3,8,1,6,7]=>1100100=>8 [1,1,0,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[2,5,4,3,6,1,8,7]=>[5,4,2,3,6,8,1,7]=>1100010=>9 [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,5,4,3,6,7,1,8]=>[5,4,2,3,6,7,1,8]=>1100010=>9 [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,1]=>[5,4,2,3,6,7,8,1]=>1100001=>10 [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,4,3,6,8,7,1]=>[5,4,8,2,3,6,7,1]=>1010001=>11 [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,5,4,3,7,6,8,1]=>[5,4,7,2,3,6,8,1]=>1010001=>11 [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,4,3,8,6,7,1]=>[5,8,4,2,3,6,7,1]=>0110001=>12 [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,5,4,3,8,7,6,1]=>[5,8,4,7,2,3,6,1]=>0101001=>13 [1,1,0,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[2,7,4,3,5,6,8,1]=>[4,2,3,7,5,6,8,1]=>1001001=>12 [1,1,0,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[2,8,4,3,5,7,6,1]=>[4,8,2,3,7,5,6,1]=>0100101=>14 [1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[2,8,4,3,6,5,7,1]=>[4,8,2,3,6,5,7,1]=>0100101=>14 [1,1,0,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[2,8,4,3,6,7,5,1]=>[2,4,8,6,7,3,5,1]=>0010101=>15 [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,8,4,3,7,6,5,1]=>[8,2,7,4,6,3,5,1]=>1010101=>16 [1,1,0,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[2,6,4,5,3,8,7,1]=>[4,6,5,8,2,3,7,1]=>0101001=>13 [1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[2,8,4,5,3,6,7,1]=>[4,5,2,3,8,6,7,1]=>0100101=>14 [1,1,0,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[2,7,4,5,6,3,8,1]=>[4,5,7,6,2,3,8,1]=>0011001=>14 [1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[2,8,4,6,5,3,7,1]=>[8,2,6,4,5,3,7,1]=>1010101=>16 [1,1,0,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[2,8,4,6,5,7,3,1]=>[6,4,5,8,7,2,3,1]=>1001101=>17 [1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[2,8,4,7,6,5,3,1]=>[8,7,4,6,5,2,3,1]=>1101101=>19 [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]=>[6,5,4,2,3,7,8,1]=>1110001=>13 [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,7,5,4,3,6,8,1]=>[7,5,2,4,3,6,8,1]=>1101001=>14 [1,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[2,8,5,4,3,7,6,1]=>[8,2,5,4,7,3,6,1]=>1010101=>16 [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,8,5,4,7,6,3,1]=>[5,8,4,7,6,2,3,1]=>0101101=>18 [1,1,0,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[2,7,6,4,5,3,8,1]=>[4,7,6,5,2,3,8,1]=>0111001=>16 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[2,8,6,4,5,7,3,1]=>[4,6,5,8,7,2,3,1]=>0101101=>18 [1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[2,8,7,4,6,5,3,1]=>[8,4,7,6,5,2,3,1]=>1011101=>20 [1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[2,7,6,5,4,3,1,8]=>[7,6,5,4,2,3,1,8]=>1111010=>16 [1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[2,7,6,5,4,3,8,1]=>[7,6,5,4,2,3,8,1]=>1111001=>17 [1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[2,8,6,5,4,3,7,1]=>[8,6,5,2,4,3,7,1]=>1110101=>18 [1,1,0,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[2,8,6,5,4,7,3,1]=>[6,5,4,8,7,2,3,1]=>1101101=>19 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,8,7,5,4,6,3,1]=>[5,4,8,7,6,2,3,1]=>1011101=>20 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,8,7,5,6,4,3,1]=>[5,8,7,6,4,2,3,1]=>0111101=>21 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,2,3,1]=>1111101=>22 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>1100000=>3 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,8,7]=>[3,2,8,1,4,5,6,7]=>1010000=>4 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]=>[3,2,7,8,1,4,5,6]=>1001000=>5 [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>[3,8,2,7,1,4,5,6]=>0101000=>6 [1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0]=>[3,2,1,4,6,5,7,8]=>[3,2,6,1,4,5,7,8]=>1010000=>4 [1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0]=>[3,2,1,4,6,5,8,7]=>[3,2,6,8,1,4,5,7]=>1001000=>5 [1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0]=>[3,2,1,4,6,7,8,5]=>[3,2,6,7,8,1,4,5]=>1000100=>6 [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,2,1,4,6,8,7,5]=>[3,8,2,6,7,1,4,5]=>0100100=>7 [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>[3,7,2,6,1,4,5,8]=>0101000=>6 [1,1,1,0,0,0,1,0,1,1,1,0,0,1,0,0]=>[3,2,1,4,7,6,8,5]=>[3,7,2,6,8,1,4,5]=>0100100=>7 [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,8,6,7,5]=>[8,3,2,6,7,1,4,5]=>1100100=>8 [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>[8,3,7,2,6,1,4,5]=>1010100=>9 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[3,2,1,5,4,6,7,8]=>[3,2,5,1,4,6,7,8]=>1010000=>4 [1,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0]=>[3,2,1,5,4,6,8,7]=>[3,2,5,8,1,4,6,7]=>1001000=>5 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>[3,2,5,7,1,4,6,8]=>1001000=>5 [1,1,1,0,0,0,1,1,0,0,1,1,1,0,0,0]=>[3,2,1,5,4,8,7,6]=>[3,8,2,5,7,1,4,6]=>0100100=>7 [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]=>[3,2,5,6,1,4,7,8]=>1001000=>5 [1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0]=>[3,2,1,5,6,4,8,7]=>[3,2,5,6,8,1,4,7]=>1000100=>6 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]=>[3,2,5,6,7,8,1,4]=>1000010=>7 [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]=>[3,8,2,5,6,7,1,4]=>0100010=>8 [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,8,6,7,4]=>[8,3,2,5,6,7,1,4]=>1100010=>9 [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]=>[8,3,7,2,5,6,1,4]=>1010010=>10 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[3,2,1,6,5,4,7,8]=>[3,6,2,5,1,4,7,8]=>0101000=>6 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[3,2,1,6,5,4,8,7]=>[3,6,2,5,8,1,4,7]=>0100100=>7 [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,2,1,6,5,7,4,8]=>[3,6,2,5,7,1,4,8]=>0100100=>7 [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]=>[3,6,2,5,7,8,1,4]=>0100010=>8 [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>[3,6,8,2,5,7,1,4]=>0010010=>9 [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,2,1,7,5,6,4,8]=>[7,3,2,5,6,1,4,8]=>1100100=>8 [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,2,1,7,5,6,8,4]=>[7,3,2,5,6,8,1,4]=>1100010=>9 [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,8,5,6,7,4]=>[3,2,8,5,6,7,1,4]=>1010010=>10 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[3,2,1,7,6,5,4,8]=>[7,3,6,2,5,1,4,8]=>1010100=>9 [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,8,6,7,5,4]=>[3,8,6,7,2,5,1,4]=>0101010=>12 [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>[8,7,3,6,2,5,1,4]=>1101010=>13 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>1010000=>4 [1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0]=>[3,2,4,1,5,6,8,7]=>[3,2,4,8,1,5,6,7]=>1001000=>5 [1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0]=>[3,2,4,1,5,7,8,6]=>[3,2,4,7,8,1,5,6]=>1000100=>6 [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,2,4,1,5,8,7,6]=>[3,8,2,4,7,1,5,6]=>0100100=>7 [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]=>[3,2,4,6,1,5,7,8]=>1001000=>5 [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>[3,2,4,6,8,1,5,7]=>1000100=>6 [1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0]=>[3,2,4,1,6,7,8,5]=>[3,2,4,6,7,8,1,5]=>1000010=>7 [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>[3,8,2,4,6,7,1,5]=>0100010=>8 [1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,0]=>[3,2,4,1,7,6,8,5]=>[3,7,2,4,6,8,1,5]=>0100010=>8 [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>[8,3,7,2,4,6,1,5]=>1010010=>10 [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]=>[3,2,4,5,1,6,7,8]=>1001000=>5 [1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,5,1,6,8,7]=>[3,2,4,5,8,1,6,7]=>1000100=>6 [1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,5,1,7,8,6]=>[3,2,4,5,7,8,1,6]=>1000010=>7 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,6,1,7,8]=>[3,2,4,5,6,1,7,8]=>1000100=>6 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,1,8]=>[3,2,4,5,6,7,1,8]=>1000010=>7 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,1]=>1000001=>8 [1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,6,8,7,1]=>[3,8,2,4,5,6,7,1]=>0100001=>9 [1,1,1,0,0,1,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,5,7,6,1,8]=>[3,7,2,4,5,6,1,8]=>0100010=>8 [1,1,1,0,0,1,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,5,8,6,7,1]=>[8,3,2,4,5,6,7,1]=>1100001=>10 [1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0]=>[3,2,4,6,5,7,1,8]=>[3,6,2,4,5,7,1,8]=>0100010=>8 [1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0]=>[3,2,4,6,5,8,7,1]=>[3,6,8,2,4,5,7,1]=>0010001=>10 [1,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0]=>[3,2,4,7,5,6,8,1]=>[7,3,2,4,5,6,8,1]=>1100001=>10 [1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,0]=>[3,2,4,8,5,6,7,1]=>[3,2,8,4,5,6,7,1]=>1010001=>11 [1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0]=>[3,2,4,8,5,7,6,1]=>[3,8,7,2,4,5,6,1]=>0110001=>12 [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,7,6,5,8,1]=>[7,3,6,2,4,5,8,1]=>1010001=>11 [1,1,1,0,0,1,0,1,1,1,0,0,1,0,0,0]=>[3,2,4,8,6,5,7,1]=>[3,8,6,2,4,5,7,1]=>0110001=>12 [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]=>[3,5,2,4,1,6,7,8]=>0101000=>6 [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,5,4,1,6,8,7]=>[3,5,2,4,8,1,6,7]=>0100100=>7 [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,8]=>[3,5,2,4,7,1,6,8]=>0100100=>7 [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>[3,5,8,2,4,7,1,6]=>0010010=>9 [1,1,1,0,0,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,5,4,6,1,8,7]=>[3,5,2,4,6,8,1,7]=>0100010=>8 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,5,4,6,7,8,1]=>[3,5,2,4,6,7,8,1]=>0100001=>9 [1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,5,4,6,8,7,1]=>[3,5,8,2,4,6,7,1]=>0010001=>10 [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>[3,5,7,2,4,6,1,8]=>0010010=>9 [1,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,7,6,8,1]=>[3,5,7,2,4,6,8,1]=>0010001=>10 [1,1,1,0,0,1,1,0,1,0,0,0,1,1,0,0]=>[3,2,6,4,5,1,8,7]=>[6,3,2,4,5,8,1,7]=>1100010=>9 [1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0]=>[3,2,6,4,5,7,1,8]=>[6,3,2,4,5,7,1,8]=>1100010=>9 [1,1,1,0,0,1,1,0,1,0,1,0,0,0,1,0]=>[3,2,7,4,5,6,1,8]=>[3,2,7,4,5,6,1,8]=>1010010=>10 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,0,0]=>[3,2,8,4,5,6,7,1]=>[3,2,4,8,5,6,7,1]=>1001001=>12 [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,7,4,6,5,1,8]=>[3,7,6,2,4,5,1,8]=>0110010=>11 [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,7,4,6,5,8,1]=>[3,7,6,2,4,5,8,1]=>0110001=>12 [1,1,1,0,0,1,1,1,0,0,0,0,1,1,0,0]=>[3,2,6,5,4,1,8,7]=>[6,3,5,2,4,8,1,7]=>1010010=>10 [1,1,1,0,0,1,1,1,0,0,0,1,1,0,0,0]=>[3,2,6,5,4,8,7,1]=>[6,3,5,8,2,4,7,1]=>1001001=>12 [1,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0]=>[3,2,7,5,4,6,1,8]=>[3,7,5,2,4,6,1,8]=>0110010=>11 [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,2,8,5,4,6,7,1]=>[3,8,2,5,4,6,7,1]=>0101001=>13 [1,1,1,0,0,1,1,1,0,0,1,1,0,0,0,0]=>[3,2,8,5,4,7,6,1]=>[3,5,8,7,2,4,6,1]=>0011001=>14 [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,2,7,5,6,4,1,8]=>[3,7,5,6,2,4,1,8]=>0101010=>12 [1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>[3,2,8,5,6,4,7,1]=>[3,5,8,6,2,4,7,1]=>0011001=>14 [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,2,8,5,7,6,4,1]=>[8,3,7,5,6,2,4,1]=>1010101=>16 [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>[7,6,3,5,2,4,1,8]=>1101010=>13 [1,1,1,0,0,1,1,1,1,0,0,0,0,1,0,0]=>[3,2,7,6,5,4,8,1]=>[7,6,3,5,2,4,8,1]=>1101001=>14 [1,1,1,0,0,1,1,1,1,0,1,0,0,0,0,0]=>[3,2,8,7,5,6,4,1]=>[3,8,7,5,6,2,4,1]=>0110101=>17 [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,8,7,6,5,4,1]=>[8,7,6,3,5,2,4,1]=>1110101=>18 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>0110000=>5 [1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0]=>[4,2,3,1,5,6,8,7]=>[2,4,3,8,1,5,6,7]=>0101000=>6 [1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0]=>[4,2,3,1,5,7,8,6]=>[2,4,3,7,8,1,5,6]=>0100100=>7 [1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,0]=>[4,2,3,1,5,8,7,6]=>[2,4,8,3,7,1,5,6]=>0010100=>8 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>[4,2,3,1,6,5,8,7]=>[2,4,3,6,8,1,5,7]=>0100100=>7 [1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0]=>[4,2,3,1,6,7,5,8]=>[2,4,3,6,7,1,5,8]=>0100100=>7 [1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0]=>[4,2,3,1,6,7,8,5]=>[2,4,3,6,7,8,1,5]=>0100010=>8 [1,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0]=>[4,2,3,1,6,8,7,5]=>[2,4,8,3,6,7,1,5]=>0010010=>9 [1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0]=>[4,2,3,1,7,6,5,8]=>[2,4,7,3,6,1,5,8]=>0010100=>8 [1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0]=>[4,2,3,1,7,6,8,5]=>[2,4,7,3,6,8,1,5]=>0010010=>9 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,2,3,1,8,6,7,5]=>[4,2,8,3,6,7,1,5]=>1010010=>10 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,2,3,1,8,7,6,5]=>[8,2,4,7,3,6,1,5]=>1001010=>11 [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,2,3,5,1,6,7,8]=>[2,4,3,5,1,6,7,8]=>0101000=>6 [1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0]=>[4,2,3,5,1,6,8,7]=>[2,4,3,5,8,1,6,7]=>0100100=>7 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,2,3,5,1,7,8,6]=>[2,4,3,5,7,8,1,6]=>0100010=>8 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,2,3,5,1,8,7,6]=>[2,4,8,3,5,7,1,6]=>0010010=>9 [1,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0]=>[4,2,3,5,6,1,8,7]=>[2,4,3,5,6,8,1,7]=>0100010=>8 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,1]=>[2,4,3,5,6,7,8,1]=>0100001=>9 [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[4,2,3,5,6,8,7,1]=>[2,4,8,3,5,6,7,1]=>0010001=>10 [1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,0]=>[4,2,3,5,7,6,1,8]=>[2,4,7,3,5,6,1,8]=>0010010=>9 [1,1,1,0,1,0,0,1,0,1,1,0,0,1,0,0]=>[4,2,3,5,7,6,8,1]=>[2,4,7,3,5,6,8,1]=>0010001=>10 [1,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0]=>[4,2,3,5,8,7,6,1]=>[8,2,4,7,3,5,6,1]=>1001001=>12 [1,1,1,0,1,0,0,1,1,0,0,0,1,0,1,0]=>[4,2,3,6,5,1,7,8]=>[2,4,6,3,5,1,7,8]=>0010100=>8 [1,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0]=>[4,2,3,6,5,1,8,7]=>[2,4,6,3,5,8,1,7]=>0010010=>9 [1,1,1,0,1,0,0,1,1,0,0,1,1,0,0,0]=>[4,2,3,6,5,8,7,1]=>[2,4,6,8,3,5,7,1]=>0001001=>11 [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,3,8,5,6,7,1]=>[2,8,4,3,5,6,7,1]=>0110001=>12 [1,1,1,0,1,0,0,1,1,0,1,1,0,0,0,0]=>[4,2,3,8,5,7,6,1]=>[4,8,2,7,3,5,6,1]=>0101001=>13 [1,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0]=>[4,2,3,8,6,5,7,1]=>[4,8,2,6,3,5,7,1]=>0101001=>13 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,0]=>[4,2,3,8,6,7,5,1]=>[2,8,4,6,7,3,5,1]=>0100101=>14 [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,2,3,8,7,6,5,1]=>[8,7,2,4,6,3,5,1]=>1100101=>15 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[5,2,3,4,1,6,7,8]=>[2,3,5,4,1,6,7,8]=>0011000=>7 [1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0]=>[5,2,3,4,6,1,7,8]=>[2,3,5,4,6,1,7,8]=>0010100=>8 [1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0]=>[5,2,3,4,6,7,1,8]=>[2,3,5,4,6,7,1,8]=>0010010=>9 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>[5,2,3,4,6,7,8,1]=>[2,3,5,4,6,7,8,1]=>0010001=>10 [1,1,1,0,1,0,1,0,0,1,0,1,1,0,0,0]=>[5,2,3,4,6,8,7,1]=>[2,3,5,8,4,6,7,1]=>0001001=>11 [1,1,1,0,1,0,1,0,0,1,1,0,0,1,0,0]=>[5,2,3,4,7,6,8,1]=>[2,3,5,7,4,6,8,1]=>0001001=>11 [1,1,1,0,1,0,1,0,0,1,1,0,1,0,0,0]=>[5,2,3,4,8,6,7,1]=>[5,2,3,8,4,6,7,1]=>1001001=>12 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[6,2,3,4,5,1,7,8]=>[2,3,4,6,5,1,7,8]=>0001100=>9 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>[6,2,3,4,5,1,8,7]=>[2,3,4,6,5,8,1,7]=>0001010=>10 [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[6,2,3,4,5,7,1,8]=>[2,3,4,6,5,7,1,8]=>0001010=>10 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0]=>[6,2,3,4,5,7,8,1]=>[2,3,4,6,5,7,8,1]=>0001001=>11 [1,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[6,2,3,4,5,8,7,1]=>[2,3,4,6,8,5,7,1]=>0000101=>12 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[7,2,3,4,5,6,1,8]=>[2,3,4,5,7,6,1,8]=>0000110=>11 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[7,2,3,4,5,6,8,1]=>[2,3,4,5,7,6,8,1]=>0000101=>12 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,8,7,1]=>0000011=>13 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>[8,2,3,4,5,7,6,1]=>[8,2,3,4,5,7,6,1]=>1000011=>14 [1,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0]=>[7,2,3,4,6,5,1,8]=>[7,2,3,4,6,5,1,8]=>1000110=>12 [1,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0]=>[8,2,3,4,6,5,7,1]=>[6,2,3,4,5,8,7,1]=>1000011=>14 [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[6,2,3,5,4,1,7,8]=>[6,2,3,5,4,1,7,8]=>1001100=>10 [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,2,3,5,4,1,8,7]=>[6,2,3,5,4,8,1,7]=>1001010=>11 [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[6,2,3,5,4,7,1,8]=>[6,2,3,5,4,7,1,8]=>1001010=>11 [1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0]=>[6,2,3,5,4,7,8,1]=>[6,2,3,5,4,7,8,1]=>1001001=>12 [1,1,1,0,1,0,1,1,0,0,1,0,0,0,1,0]=>[7,2,3,5,4,6,1,8]=>[5,2,3,4,7,6,1,8]=>1000110=>12 [1,1,1,0,1,0,1,1,0,0,1,1,0,0,0,0]=>[8,2,3,5,4,7,6,1]=>[5,8,2,3,4,7,6,1]=>0100011=>15 [1,1,1,0,1,0,1,1,0,1,0,0,0,1,0,0]=>[7,2,3,5,6,4,8,1]=>[2,7,3,5,6,4,8,1]=>0100101=>14 [1,1,1,0,1,0,1,1,0,1,0,1,0,0,0,0]=>[8,2,3,5,6,7,4,1]=>[2,3,8,5,6,7,4,1]=>0010011=>16 [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,6,5,4,1,8]=>[7,6,2,3,5,4,1,8]=>1100110=>14 [1,1,1,0,1,0,1,1,1,1,0,0,0,0,0,0]=>[8,2,3,7,6,5,4,1]=>[8,7,6,2,3,5,4,1]=>1110011=>19 [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,2,4,3,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>1011000=>8 [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,2,4,3,1,6,8,7]=>[5,2,4,3,8,1,6,7]=>1010100=>9 [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,2,4,3,1,7,6,8]=>[5,2,4,3,7,1,6,8]=>1010100=>9 [1,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0]=>[5,2,4,3,1,7,8,6]=>[5,2,4,3,7,8,1,6]=>1010010=>10 [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[5,2,4,3,6,1,7,8]=>[5,2,4,3,6,1,7,8]=>1010100=>9 [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[5,2,4,3,6,1,8,7]=>[5,2,4,3,6,8,1,7]=>1010010=>10 [1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0]=>[5,2,4,3,6,7,1,8]=>[5,2,4,3,6,7,1,8]=>1010010=>10 [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[5,2,4,3,7,6,8,1]=>[5,2,4,7,3,6,8,1]=>1001001=>12 [1,1,1,0,1,1,0,0,0,1,1,1,0,0,0,0]=>[5,2,4,3,8,7,6,1]=>[5,8,2,4,7,3,6,1]=>0100101=>14 [1,1,1,0,1,1,0,0,1,0,0,1,1,0,0,0]=>[6,2,4,3,5,8,7,1]=>[4,2,3,6,8,5,7,1]=>1000101=>13 [1,1,1,0,1,1,0,0,1,0,1,0,1,0,0,0]=>[8,2,4,3,5,6,7,1]=>[4,2,3,5,6,8,7,1]=>1000011=>14 [1,1,1,0,1,1,0,0,1,0,1,1,0,0,0,0]=>[8,2,4,3,5,7,6,1]=>[4,8,2,3,5,7,6,1]=>0100011=>15 [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,2,4,3,6,5,1,8]=>[4,7,2,3,6,5,1,8]=>0100110=>13 [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,2,4,3,6,5,8,1]=>[4,7,2,3,6,5,8,1]=>0100101=>14 [1,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0]=>[8,2,4,3,6,7,5,1]=>[8,4,2,3,6,7,5,1]=>1100011=>16 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>[8,2,4,3,7,6,5,1]=>[8,4,7,2,3,6,5,1]=>1010011=>17 [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,2,4,5,3,1,7,8]=>[2,6,4,5,3,1,7,8]=>0101100=>11 [1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0]=>[6,2,4,5,3,1,8,7]=>[2,6,4,5,3,8,1,7]=>0101010=>12 [1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0]=>[6,2,4,5,3,7,8,1]=>[2,6,4,5,3,7,8,1]=>0101001=>13 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,0,0]=>[6,2,4,5,3,8,7,1]=>[2,6,4,5,8,3,7,1]=>0100101=>14 [1,1,1,0,1,1,0,1,0,0,1,1,0,0,0,0]=>[8,2,4,5,3,7,6,1]=>[4,5,8,2,3,7,6,1]=>0010011=>16 [1,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0]=>[7,2,4,5,6,3,8,1]=>[2,4,7,5,6,3,8,1]=>0010101=>15 [1,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0]=>[8,2,4,5,7,6,3,1]=>[8,2,4,7,5,6,3,1]=>1001011=>18 [1,1,1,0,1,1,0,1,1,0,0,0,0,0,1,0]=>[7,2,4,6,5,3,1,8]=>[7,2,6,4,5,3,1,8]=>1010110=>15 [1,1,1,0,1,1,0,1,1,0,0,0,0,1,0,0]=>[7,2,4,6,5,3,8,1]=>[7,2,6,4,5,3,8,1]=>1010101=>16 [1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0]=>[8,2,4,6,5,3,7,1]=>[6,4,5,2,3,8,7,1]=>1010011=>17 [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[8,2,4,7,6,5,3,1]=>[8,7,2,6,4,5,3,1]=>1101011=>20 [1,1,1,0,1,1,1,0,0,0,0,1,0,0,1,0]=>[6,2,5,4,3,7,1,8]=>[6,5,2,4,3,7,1,8]=>1101010=>13 [1,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0]=>[6,2,5,4,3,7,8,1]=>[6,5,2,4,3,7,8,1]=>1101001=>14 [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,2,5,4,3,6,1,8]=>[5,4,2,3,7,6,1,8]=>1100110=>14 [1,1,1,0,1,1,1,0,0,0,1,0,0,1,0,0]=>[7,2,5,4,3,6,8,1]=>[5,4,2,3,7,6,8,1]=>1100101=>15 [1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,0]=>[7,2,5,4,6,3,8,1]=>[7,2,5,4,6,3,8,1]=>1010101=>16 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>[8,2,5,4,6,7,3,1]=>[5,2,4,8,6,7,3,1]=>1001011=>18 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>[8,2,5,4,7,6,3,1]=>[2,8,5,7,4,6,3,1]=>0101011=>19 [1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0]=>[7,2,6,4,5,3,8,1]=>[2,7,6,4,5,3,8,1]=>0110101=>17 [1,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0]=>[8,2,6,4,5,3,7,1]=>[4,6,5,2,3,8,7,1]=>0110011=>18 [1,1,1,0,1,1,1,0,1,0,1,0,0,0,0,0]=>[8,2,7,4,5,6,3,1]=>[2,4,8,7,5,6,3,1]=>0011011=>20 [1,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0]=>[8,2,7,4,6,5,3,1]=>[8,2,7,6,4,5,3,1]=>1011011=>21 [1,1,1,0,1,1,1,1,0,0,0,0,0,1,0,0]=>[7,2,6,5,4,3,8,1]=>[7,6,5,2,4,3,8,1]=>1110101=>18 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>[8,2,6,5,4,7,3,1]=>[8,6,2,5,4,7,3,1]=>1101011=>20 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>[8,2,7,5,4,6,3,1]=>[8,2,7,5,4,6,3,1]=>1011011=>21 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[8,2,7,5,6,4,3,1]=>[5,8,7,6,2,4,3,1]=>0111011=>22 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[8,2,7,6,5,4,3,1]=>[8,7,6,5,2,4,3,1]=>1111011=>23 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>1110000=>6 [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>[4,3,2,8,1,5,6,7]=>1101000=>7 [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]=>[4,3,2,7,1,5,6,8]=>1101000=>7 [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>[4,3,2,7,8,1,5,6]=>1100100=>8 [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]=>[4,3,8,2,7,1,5,6]=>1010100=>9 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>[4,3,2,6,1,5,7,8]=>1101000=>7 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>[4,3,2,6,8,1,5,7]=>1100100=>8 [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]=>[4,3,2,6,7,1,5,8]=>1100100=>8 [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>[4,3,2,6,7,8,1,5]=>1100010=>9 [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>[4,3,8,2,6,7,1,5]=>1010010=>10 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]=>[4,3,7,2,6,1,5,8]=>1010100=>9 [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>[4,3,7,2,6,8,1,5]=>1010010=>10 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,8,6,7,5]=>[4,8,3,2,6,7,1,5]=>0110010=>11 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>[4,8,3,7,2,6,1,5]=>0101010=>12 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]=>[4,3,2,5,1,6,7,8]=>1101000=>7 [1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,0]=>[4,3,2,5,1,6,8,7]=>[4,3,2,5,8,1,6,7]=>1100100=>8 [1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,0]=>[4,3,2,5,1,7,6,8]=>[4,3,2,5,7,1,6,8]=>1100100=>8 [1,1,1,1,0,0,0,1,0,0,1,1,0,1,0,0]=>[4,3,2,5,1,7,8,6]=>[4,3,2,5,7,8,1,6]=>1100010=>9 [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]=>[4,3,8,2,5,7,1,6]=>1010010=>10 [1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0]=>[4,3,2,5,6,1,7,8]=>[4,3,2,5,6,1,7,8]=>1100100=>8 [1,1,1,1,0,0,0,1,0,1,0,0,1,1,0,0]=>[4,3,2,5,6,1,8,7]=>[4,3,2,5,6,8,1,7]=>1100010=>9 [1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,7,1,8]=>[4,3,2,5,6,7,1,8]=>1100010=>9 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,8,1]=>1100001=>10 [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,8,7,1]=>[4,3,8,2,5,6,7,1]=>1010001=>11 [1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0]=>[4,3,2,5,7,6,1,8]=>[4,3,7,2,5,6,1,8]=>1010010=>10 [1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0]=>[4,3,2,5,7,6,8,1]=>[4,3,7,2,5,6,8,1]=>1010001=>11 [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,8,7,6,1]=>[4,8,3,7,2,5,6,1]=>0101001=>13 [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,3,2,6,5,1,7,8]=>[4,3,6,2,5,1,7,8]=>1010100=>9 [1,1,1,1,0,0,0,1,1,0,0,1,0,0,1,0]=>[4,3,2,6,5,7,1,8]=>[4,3,6,2,5,7,1,8]=>1010010=>10 [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,3,2,6,5,7,8,1]=>[4,3,6,2,5,7,8,1]=>1010001=>11 [1,1,1,1,0,0,0,1,1,0,1,0,0,0,1,0]=>[4,3,2,7,5,6,1,8]=>[4,7,3,2,5,6,1,8]=>0110010=>11 [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,3,2,7,5,6,8,1]=>[4,7,3,2,5,6,8,1]=>0110001=>12 [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,8,5,6,7,1]=>[8,4,3,2,5,6,7,1]=>1110001=>13 [1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0]=>[4,3,2,8,5,7,6,1]=>[8,4,3,7,2,5,6,1]=>1101001=>14 [1,1,1,1,0,0,0,1,1,1,0,0,0,0,1,0]=>[4,3,2,7,6,5,1,8]=>[4,7,3,6,2,5,1,8]=>0101010=>12 [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,2,7,6,5,8,1]=>[4,7,3,6,2,5,8,1]=>0101001=>13 [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,2,8,6,7,5,1]=>[8,4,3,6,7,2,5,1]=>1100101=>15 [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>[8,4,7,3,6,2,5,1]=>1010101=>16 [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,3,2,4,1,6,7,8]=>[3,2,5,4,1,6,7,8]=>1011000=>8 [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[5,3,2,4,1,6,8,7]=>[3,2,5,4,8,1,6,7]=>1010100=>9 [1,1,1,1,0,0,1,0,0,0,1,1,0,0,1,0]=>[5,3,2,4,1,7,6,8]=>[3,2,5,4,7,1,6,8]=>1010100=>9 [1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0]=>[5,3,2,4,1,7,8,6]=>[3,2,5,4,7,8,1,6]=>1010010=>10 [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,3,2,4,1,8,7,6]=>[3,2,5,8,4,7,1,6]=>1001010=>11 [1,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0]=>[5,3,2,4,6,7,8,1]=>[3,2,5,4,6,7,8,1]=>1010001=>11 [1,1,1,1,0,0,1,0,0,1,1,0,0,0,1,0]=>[5,3,2,4,7,6,1,8]=>[3,2,5,7,4,6,1,8]=>1001010=>11 [1,1,1,1,0,0,1,0,0,1,1,0,0,1,0,0]=>[5,3,2,4,7,6,8,1]=>[3,2,5,7,4,6,8,1]=>1001001=>12 [1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0]=>[5,3,2,4,8,6,7,1]=>[3,5,2,8,4,6,7,1]=>0101001=>13 [1,1,1,1,0,0,1,0,0,1,1,1,0,0,0,0]=>[5,3,2,4,8,7,6,1]=>[3,8,2,5,7,4,6,1]=>0100101=>14 [1,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0]=>[7,3,2,4,5,6,8,1]=>[3,2,4,5,7,6,8,1]=>1000101=>13 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>[8,3,2,4,5,6,7,1]=>[3,2,4,5,6,8,7,1]=>1000011=>14 [1,1,1,1,0,0,1,0,1,0,1,1,0,0,0,0]=>[8,3,2,4,5,7,6,1]=>[3,8,2,4,5,7,6,1]=>0100011=>15 [1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0]=>[8,3,2,4,6,5,7,1]=>[3,6,2,4,5,8,7,1]=>0100011=>15 [1,1,1,1,0,0,1,0,1,1,0,1,0,0,0,0]=>[8,3,2,4,6,7,5,1]=>[8,3,2,4,6,7,5,1]=>1100011=>16 [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[6,3,2,5,4,1,7,8]=>[3,6,2,5,4,1,7,8]=>0101100=>11 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,3,2,5,4,1,8,7]=>[3,6,2,5,4,8,1,7]=>0101010=>12 [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[6,3,2,5,4,7,1,8]=>[3,6,2,5,4,7,1,8]=>0101010=>12 [1,1,1,1,0,0,1,1,0,0,1,0,0,0,1,0]=>[7,3,2,5,4,6,1,8]=>[3,5,2,4,7,6,1,8]=>0100110=>13 [1,1,1,1,0,0,1,1,0,0,1,0,0,1,0,0]=>[7,3,2,5,4,6,8,1]=>[3,5,2,4,7,6,8,1]=>0100101=>14 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[8,3,2,5,4,7,6,1]=>[3,5,8,2,4,7,6,1]=>0010011=>16 [1,1,1,1,0,0,1,1,0,1,0,0,0,1,0,0]=>[7,3,2,5,6,4,8,1]=>[7,3,2,5,6,4,8,1]=>1100101=>15 [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[8,3,2,5,6,4,7,1]=>[3,5,6,2,4,8,7,1]=>0010011=>16 [1,1,1,1,0,0,1,1,1,0,0,0,0,1,0,0]=>[7,3,2,6,5,4,8,1]=>[7,3,6,2,5,4,8,1]=>1010101=>16 [1,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0]=>[8,3,2,7,5,6,4,1]=>[8,7,3,2,5,6,4,1]=>1110011=>19 [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[8,3,2,7,6,5,4,1]=>[8,7,3,6,2,5,4,1]=>1101011=>20 [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,3,4,2,1,6,7,8]=>[3,5,4,2,1,6,7,8]=>0111000=>9 [1,1,1,1,0,1,0,0,0,0,1,0,1,1,0,0]=>[5,3,4,2,1,6,8,7]=>[3,5,4,2,8,1,6,7]=>0110100=>10 [1,1,1,1,0,1,0,0,0,0,1,1,0,0,1,0]=>[5,3,4,2,1,7,6,8]=>[3,5,4,2,7,1,6,8]=>0110100=>10 [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[5,3,4,2,1,7,8,6]=>[3,5,4,2,7,8,1,6]=>0110010=>11 [1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0]=>[5,3,4,2,6,1,7,8]=>[3,5,4,2,6,1,7,8]=>0110100=>10 [1,1,1,1,0,1,0,0,0,1,0,0,1,1,0,0]=>[5,3,4,2,6,1,8,7]=>[3,5,4,2,6,8,1,7]=>0110010=>11 [1,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0]=>[5,3,4,2,6,7,1,8]=>[3,5,4,2,6,7,1,8]=>0110010=>11 [1,1,1,1,0,1,0,0,0,1,0,1,0,1,0,0]=>[5,3,4,2,6,7,8,1]=>[3,5,4,2,6,7,8,1]=>0110001=>12 [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[5,3,4,2,7,6,1,8]=>[3,5,4,7,2,6,1,8]=>0101010=>12 [1,1,1,1,0,1,0,0,0,1,1,0,0,1,0,0]=>[5,3,4,2,7,6,8,1]=>[3,5,4,7,2,6,8,1]=>0101001=>13 [1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0]=>[6,3,4,2,5,1,8,7]=>[3,4,2,6,5,8,1,7]=>0101010=>12 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>[6,3,4,2,5,7,1,8]=>[3,4,2,6,5,7,1,8]=>0101010=>12 [1,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0]=>[7,3,4,2,5,6,8,1]=>[3,4,2,5,7,6,8,1]=>0100101=>14 [1,1,1,1,0,1,0,0,1,0,1,0,1,0,0,0]=>[8,3,4,2,5,6,7,1]=>[3,4,2,5,6,8,7,1]=>0100011=>15 [1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0]=>[8,3,4,2,5,7,6,1]=>[3,4,8,2,5,7,6,1]=>0010011=>16 [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,6,5,1,8]=>[3,4,7,2,6,5,1,8]=>0010110=>14 [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[7,3,4,2,6,5,8,1]=>[3,4,7,2,6,5,8,1]=>0010101=>15 [1,1,1,1,0,1,0,0,1,1,0,0,1,0,0,0]=>[8,3,4,2,6,5,7,1]=>[3,4,6,2,5,8,7,1]=>0010011=>16 [1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0]=>[8,3,4,2,7,6,5,1]=>[8,3,4,7,2,6,5,1]=>1001011=>18 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>[6,3,4,5,2,1,8,7]=>[3,4,6,5,2,8,1,7]=>0011010=>13 [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[6,3,4,5,2,7,1,8]=>[3,4,6,5,2,7,1,8]=>0011010=>13 [1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,0]=>[6,3,4,5,2,7,8,1]=>[3,4,6,5,2,7,8,1]=>0011001=>14 [1,1,1,1,0,1,0,1,0,0,0,1,1,0,0,0]=>[6,3,4,5,2,8,7,1]=>[3,4,6,5,8,2,7,1]=>0010101=>15 [1,1,1,1,0,1,0,1,0,0,1,0,0,0,1,0]=>[7,3,4,5,2,6,1,8]=>[3,4,5,2,7,6,1,8]=>0010110=>14 [1,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0]=>[7,3,4,5,2,6,8,1]=>[3,4,5,2,7,6,8,1]=>0010101=>15 [1,1,1,1,0,1,0,1,0,1,0,0,0,1,0,0]=>[7,3,4,5,6,2,8,1]=>[3,4,5,7,6,2,8,1]=>0001101=>16 [1,1,1,1,0,1,0,1,0,1,0,0,1,0,0,0]=>[8,3,4,5,6,2,7,1]=>[3,4,5,6,2,8,7,1]=>0001011=>17 [1,1,1,1,0,1,0,1,0,1,0,1,0,0,0,0]=>[8,3,4,5,6,7,2,1]=>[3,4,5,6,8,7,2,1]=>0000111=>18 [1,1,1,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[8,3,4,5,7,6,2,1]=>[8,3,4,5,7,6,2,1]=>1000111=>19 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[7,3,4,6,5,2,1,8]=>[7,3,4,6,5,2,1,8]=>1001110=>16 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>[8,3,4,6,5,2,7,1]=>[6,3,4,5,2,8,7,1]=>1001011=>18 [1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0]=>[8,3,4,6,5,7,2,1]=>[6,3,4,5,8,7,2,1]=>1000111=>19 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>[8,3,4,7,6,5,2,1]=>[8,7,3,4,6,5,2,1]=>1100111=>21 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>[6,3,5,4,2,1,8,7]=>[6,3,5,4,2,8,1,7]=>1011010=>14 [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[6,3,5,4,2,7,1,8]=>[6,3,5,4,2,7,1,8]=>1011010=>14 [1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0]=>[6,3,5,4,2,7,8,1]=>[6,3,5,4,2,7,8,1]=>1011001=>15 [1,1,1,1,0,1,1,0,0,0,0,1,1,0,0,0]=>[6,3,5,4,2,8,7,1]=>[6,3,5,4,8,2,7,1]=>1010101=>16 [1,1,1,1,0,1,1,0,0,0,1,0,0,0,1,0]=>[7,3,5,4,2,6,1,8]=>[5,3,4,2,7,6,1,8]=>1010110=>15 [1,1,1,1,0,1,1,0,0,0,1,0,0,1,0,0]=>[7,3,5,4,2,6,8,1]=>[5,3,4,2,7,6,8,1]=>1010101=>16 [1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0]=>[8,3,5,4,2,7,6,1]=>[5,3,4,8,2,7,6,1]=>1001011=>18 [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,5,4,6,2,1,8]=>[5,3,4,7,6,2,1,8]=>1001110=>16 [1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>[7,3,6,4,5,2,8,1]=>[3,7,4,6,5,2,8,1]=>0101101=>18 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>[8,3,6,4,5,2,7,1]=>[3,6,4,5,2,8,7,1]=>0101011=>19 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>[8,3,6,4,5,7,2,1]=>[3,6,4,5,8,7,2,1]=>0100111=>20 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>[8,3,7,4,6,5,2,1]=>[8,3,7,4,6,5,2,1]=>1010111=>22 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,3,6,5,4,2,1,8]=>[7,6,3,5,4,2,1,8]=>1101110=>18 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>[7,3,6,5,4,2,8,1]=>[7,6,3,5,4,2,8,1]=>1101101=>19 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>[8,3,6,5,4,7,2,1]=>[6,5,3,4,8,7,2,1]=>1100111=>21 [1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0]=>[8,3,7,5,4,6,2,1]=>[8,3,5,4,7,6,2,1]=>1010111=>22 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>[8,3,7,5,6,4,2,1]=>[3,8,7,5,6,4,2,1]=>0110111=>23 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>[8,3,7,6,5,4,2,1]=>[8,7,6,3,5,4,2,1]=>1110111=>24 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>1111000=>10 [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,8,7]=>[5,4,3,2,8,1,6,7]=>1110100=>11 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]=>[5,4,3,2,7,1,6,8]=>1110100=>11 [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>[5,4,3,2,7,8,1,6]=>1110010=>12 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>[5,4,3,8,2,7,1,6]=>1101010=>13 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7,8]=>1110100=>11 [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>[5,4,3,2,6,8,1,7]=>1110010=>12 [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1,8]=>1110010=>12 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,8,1]=>1110001=>13 [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]=>[5,4,3,8,2,6,7,1]=>1101001=>14 [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>[5,4,3,7,2,6,1,8]=>1101010=>13 [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,8,6,7,1]=>[5,4,8,3,2,6,7,1]=>1011001=>15 [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>[5,4,8,3,7,2,6,1]=>1010101=>16 [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[6,4,3,2,5,1,7,8]=>[4,3,2,6,5,1,7,8]=>1101100=>12 [1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0]=>[6,4,3,2,5,7,1,8]=>[4,3,2,6,5,7,1,8]=>1101010=>13 [1,1,1,1,1,0,0,0,1,0,0,1,1,0,0,0]=>[6,4,3,2,5,8,7,1]=>[4,3,2,6,8,5,7,1]=>1100101=>15 [1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0]=>[7,4,3,2,5,6,1,8]=>[4,3,2,5,7,6,1,8]=>1100110=>14 [1,1,1,1,1,0,0,0,1,0,1,0,0,1,0,0]=>[7,4,3,2,5,6,8,1]=>[4,3,2,5,7,6,8,1]=>1100101=>15 [1,1,1,1,1,0,0,0,1,0,1,0,1,0,0,0]=>[8,4,3,2,5,6,7,1]=>[4,3,2,5,6,8,7,1]=>1100011=>16 [1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0]=>[8,4,3,2,5,7,6,1]=>[4,3,8,2,5,7,6,1]=>1010011=>17 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>[7,4,3,2,6,5,1,8]=>[4,3,7,2,6,5,1,8]=>1010110=>15 [1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0]=>[7,4,3,2,6,5,8,1]=>[4,3,7,2,6,5,8,1]=>1010101=>16 [1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>[6,4,3,5,2,1,7,8]=>[4,3,6,5,2,1,7,8]=>1011100=>13 [1,1,1,1,1,0,0,1,0,0,0,1,1,0,0,0]=>[6,4,3,5,2,8,7,1]=>[4,3,6,5,8,2,7,1]=>1010101=>16 [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1,8]=>[4,3,5,2,7,6,1,8]=>1010110=>15 [1,1,1,1,1,0,0,1,0,0,1,0,0,1,0,0]=>[7,4,3,5,2,6,8,1]=>[4,3,5,2,7,6,8,1]=>1010101=>16 [1,1,1,1,1,0,0,1,0,1,0,0,0,0,1,0]=>[7,4,3,5,6,2,1,8]=>[4,3,5,7,6,2,1,8]=>1001110=>16 [1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0]=>[8,4,3,5,7,6,2,1]=>[4,8,3,5,7,6,2,1]=>0100111=>20 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,4,3,6,5,2,1,8]=>[4,7,3,6,5,2,1,8]=>0101110=>17 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>[8,4,3,6,5,2,7,1]=>[4,6,3,5,2,8,7,1]=>0101011=>19 [1,1,1,1,1,0,0,1,1,0,1,0,0,0,0,0]=>[8,4,3,7,5,6,2,1]=>[8,4,3,5,7,6,2,1]=>1100111=>21 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>[8,4,3,7,6,5,2,1]=>[8,4,7,3,6,5,2,1]=>1010111=>22 [1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>[6,5,3,4,2,1,7,8]=>[3,6,5,4,2,1,7,8]=>0111100=>14 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,5,3,4,2,1,8,7]=>[3,6,5,4,2,8,1,7]=>0111010=>15 [1,1,1,1,1,0,1,0,0,0,0,1,0,1,0,0]=>[6,5,3,4,2,7,8,1]=>[3,6,5,4,2,7,8,1]=>0111001=>16 [1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0]=>[6,5,3,4,2,8,7,1]=>[3,6,5,4,8,2,7,1]=>0110101=>17 [1,1,1,1,1,0,1,0,0,0,1,0,0,0,1,0]=>[7,5,3,4,2,6,1,8]=>[3,5,4,2,7,6,1,8]=>0110110=>16 [1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0]=>[7,5,3,4,2,6,8,1]=>[3,5,4,2,7,6,8,1]=>0110101=>17 [1,1,1,1,1,0,1,0,0,0,1,1,0,0,0,0]=>[8,5,3,4,2,7,6,1]=>[3,5,4,8,2,7,6,1]=>0101011=>19 [1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>[7,5,3,4,6,2,8,1]=>[3,5,4,7,6,2,8,1]=>0101101=>18 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>[8,5,3,4,6,2,7,1]=>[3,5,4,6,2,8,7,1]=>0101011=>19 [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[8,5,3,4,7,6,2,1]=>[3,5,8,4,7,6,2,1]=>0010111=>21 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]=>0011110=>18 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>[7,6,3,4,5,2,8,1]=>[3,4,7,6,5,2,8,1]=>0011101=>19 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>[8,7,3,4,5,6,2,1]=>[3,4,5,8,7,6,2,1]=>0001111=>22 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>[8,7,3,4,6,5,2,1]=>[8,3,4,7,6,5,2,1]=>1001111=>23 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>[7,6,3,5,4,2,1,8]=>[7,3,6,5,4,2,1,8]=>1011110=>19 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>[7,6,3,5,4,2,8,1]=>[7,3,6,5,4,2,8,1]=>1011101=>20 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>[8,6,3,5,4,2,7,1]=>[6,3,5,4,2,8,7,1]=>1011011=>21 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>[8,6,3,5,4,7,2,1]=>[6,3,5,4,8,7,2,1]=>1010111=>22 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>[8,7,3,5,4,6,2,1]=>[5,3,4,8,7,6,2,1]=>1001111=>23 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>[8,7,3,5,6,4,2,1]=>[3,8,5,7,6,4,2,1]=>0101111=>24 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[8,7,3,6,5,4,2,1]=>[8,7,3,6,5,4,2,1]=>1101111=>25 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>1111100=>15 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,8,1,7]=>1111010=>16 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0]=>[6,5,4,3,2,7,1,8]=>[6,5,4,3,2,7,1,8]=>1111010=>16 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>[6,5,4,3,2,7,8,1]=>1111001=>17 [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]=>[6,5,4,3,8,2,7,1]=>1110101=>18 [1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0]=>[7,5,4,3,2,6,1,8]=>[5,4,3,2,7,6,1,8]=>1110110=>17 [1,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0]=>[7,5,4,3,2,6,8,1]=>[5,4,3,2,7,6,8,1]=>1110101=>18 [1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,0]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,8,7,1]=>1110011=>19 [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[8,5,4,3,2,7,6,1]=>[5,4,3,8,2,7,6,1]=>1101011=>20 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>[7,5,4,3,6,2,1,8]=>[5,4,3,7,6,2,1,8]=>1101110=>18 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>[7,5,4,3,6,2,8,1]=>[5,4,3,7,6,2,8,1]=>1101101=>19 [1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,0]=>[8,5,4,3,6,2,7,1]=>[5,4,3,6,2,8,7,1]=>1101011=>20 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>[8,5,4,3,6,7,2,1]=>[5,4,3,6,8,7,2,1]=>1100111=>21 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>[7,6,4,3,5,2,1,8]=>[4,3,7,6,5,2,1,8]=>1011110=>19 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>[7,6,4,3,5,2,8,1]=>[4,3,7,6,5,2,8,1]=>1011101=>20 [1,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0]=>[8,6,4,3,5,2,7,1]=>[4,3,6,5,2,8,7,1]=>1011011=>21 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>[8,6,4,3,5,7,2,1]=>[4,3,6,5,8,7,2,1]=>1010111=>22 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[8,7,4,3,6,5,2,1]=>[4,8,3,7,6,5,2,1]=>0101111=>24 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,6,4,5,3,2,1,8]=>[4,7,6,5,3,2,1,8]=>0111110=>20 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>[7,6,4,5,3,2,8,1]=>[4,7,6,5,3,2,8,1]=>0111101=>21 [1,1,1,1,1,1,0,1,0,0,0,0,1,0,0,0]=>[8,6,4,5,3,2,7,1]=>[4,6,5,3,2,8,7,1]=>0111011=>22 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>[8,7,4,5,6,3,2,1]=>[4,5,8,7,6,3,2,1]=>0011111=>25 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[8,7,4,6,5,3,2,1]=>[8,4,7,6,5,3,2,1]=>1011111=>26 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>1111110=>21 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,8,1]=>1111101=>22 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>[8,6,5,4,3,2,7,1]=>[6,5,4,3,2,8,7,1]=>1111011=>23 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>[8,6,5,4,3,7,2,1]=>[6,5,4,3,8,7,2,1]=>1110111=>24 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[8,7,5,4,3,6,2,1]=>[5,4,3,8,7,6,2,1]=>1101111=>25 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>0111111=>27 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1111111=>28 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>11111110=>28 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,2]=>11111110=>28 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>111111110=>36 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>[8,7,6,4,5,3,2,1,9]=>[4,8,7,6,5,3,2,1,9]=>01111110=>27 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>[1,9,8,7,5,6,4,3,2]=>[5,9,8,7,6,4,3,1,2]=>01111110=>27 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,1,2]=>111111110=>36 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>[9,8,7,5,6,4,3,2,1,10]=>[5,9,8,7,6,4,3,2,1,10]=>011111110=>35 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>[8,7,5,4,6,3,2,1,9]=>[5,4,8,7,6,3,2,1,9]=>10111110=>26 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>[8,7,4,6,5,3,2,1,9]=>[8,4,7,6,5,3,2,1,9]=>10111110=>26 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>[1,9,8,6,5,7,4,3,2]=>[6,5,9,8,7,4,3,1,2]=>10111110=>26 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>[1,9,8,5,7,6,4,3,2]=>[9,5,8,7,6,4,3,1,2]=>10111110=>26 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[1,10,9,8,6,7,5,4,3,2]=>[6,10,9,8,7,5,4,3,1,2]=>011111110=>35 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[8,3,7,6,5,4,2,1,9]=>[8,7,6,3,5,4,2,1,9]=>11101110=>24 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,0]=>[7,6,5,4,3,2,8,1,9]=>[7,6,5,4,3,2,8,1,9]=>11111010=>22 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[2,8,7,6,5,4,3,1,9]=>[8,7,6,5,4,2,3,1,9]=>11111010=>22 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>[7,6,5,4,3,2,1,9,8]=>[7,6,5,4,3,2,9,1,8]=>11111010=>22 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,1,9,8,7,6,5,4,3]=>[9,8,7,6,5,2,4,1,3]=>11111010=>22 [1,0,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,9,8,7,6,5,4,2]=>[9,8,7,6,5,3,4,1,2]=>11111010=>22 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>11111100=>21 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[1,8,7,6,5,4,3,2,9]=>[8,7,6,5,4,3,1,2,9]=>11111100=>21 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,9,8,7,6,5,4,3]=>[9,8,7,6,5,4,1,2,3]=>11111100=>21 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0]=>[8,7,6,5,4,3,2,9,1,10]=>[8,7,6,5,4,3,2,9,1,10]=>111111010=>29 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,10,1,9]=>111111010=>29 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,1,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,2,4,1,3]=>111111010=>29 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>111111100=>28 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>[1,9,8,7,6,5,4,3,2,10]=>[9,8,7,6,5,4,3,1,2,10]=>111111100=>28 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[1,2,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,4,1,2,3]=>111111100=>28 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,1]=>00000001=>8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,9,8,1]=>[9,2,3,4,5,6,7,8,1]=>10000001=>9 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,5,6,8,7,9,1]=>[8,2,3,4,5,6,7,9,1]=>10000001=>9 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,9,7,8,1]=>[2,9,3,4,5,6,7,8,1]=>01000001=>10 [1,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,6,9,8,7,1]=>[9,8,2,3,4,5,6,7,1]=>11000001=>11 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,5,9,6,7,8,1]=>[2,3,9,4,5,6,7,8,1]=>00100001=>11 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,9,5,6,7,8,1]=>[2,3,4,9,5,6,7,8,1]=>00010001=>12 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,9,4,5,6,7,8,1]=>[2,3,4,5,9,6,7,8,1]=>00001001=>13 [1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,3,9,5,4,6,7,8,1]=>[5,2,3,4,9,6,7,8,1]=>10001001=>14 [1,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,3,9,8,7,6,5,4,1]=>[9,8,7,6,5,2,3,4,1]=>11111001=>23 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,9,1]=>[4,2,3,5,6,7,8,9,1]=>10000001=>9 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[2,8,3,4,5,6,7,9,1]=>[2,3,4,5,8,6,7,9,1]=>00001001=>13 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,9,3,4,5,6,7,8,1]=>[2,3,4,5,6,9,7,8,1]=>00000101=>14 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>[2,8,7,6,5,4,3,9,1]=>[8,7,6,5,4,2,3,9,1]=>11111001=>23 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[2,9,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,2,3,1]=>11111101=>29 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,1]=>10000001=>9 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,8,9,1]=>[2,4,3,5,6,7,8,9,1]=>01000001=>10 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,0]=>[7,2,3,4,5,6,9,8,1]=>[2,3,4,5,7,9,6,8,1]=>00000101=>14 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>[8,2,3,4,5,6,7,9,1]=>[2,3,4,5,6,8,7,9,1]=>00000101=>14 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,9,8,1]=>00000011=>15 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[9,2,8,7,6,5,4,3,1]=>[9,8,7,6,5,2,4,3,1]=>11111011=>30 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,9,1]=>[4,3,2,5,6,7,8,9,1]=>11000001=>11 [1,1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[9,3,4,5,6,8,7,2,1]=>[9,3,4,5,6,8,7,2,1]=>10000111=>22 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,9,1]=>[5,4,3,2,6,7,8,9,1]=>11100001=>14 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,9,1]=>[6,5,4,3,2,7,8,9,1]=>11110001=>18 [1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0]=>[9,8,4,7,6,5,3,2,1]=>[9,8,4,7,6,5,3,2,1]=>11011111=>33 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,9,1]=>[7,6,5,4,3,2,8,9,1]=>11111001=>23 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0]=>[7,6,5,4,3,2,9,8,1]=>[7,6,5,4,3,9,2,8,1]=>11110101=>24 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>[8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,9,1]=>11111101=>29 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>[9,7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,9,8,1]=>11111011=>30 [1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0]=>[9,8,6,5,4,7,3,2,1]=>[6,5,4,9,8,7,3,2,1]=>11011111=>33 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>[9,8,7,5,6,4,3,2,1]=>[5,9,8,7,6,4,3,2,1]=>01111111=>35 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>11111111=>36 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>00000000=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,7,8]=>10000000=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,7]=>[8,9,1,2,3,4,5,6,7]=>01000000=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,6]=>[7,8,9,1,2,3,4,5,6]=>00100000=>3 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,5]=>[6,7,8,9,1,2,3,4,5]=>00010000=>4 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,4]=>[5,6,7,8,9,1,2,3,4]=>00001000=>5 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,3]=>[4,5,6,7,8,9,1,2,3]=>00000100=>6 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,2]=>[3,4,5,6,7,8,9,1,2]=>00000010=>7 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>000000000=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,7,8,10,9]=>[10,1,2,3,4,5,6,7,8,9]=>100000000=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,9,8,7]=>[9,8,1,2,3,4,5,6,7]=>11000000=>3 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,6,7,9,10,8]=>[9,10,1,2,3,4,5,6,7,8]=>010000000=>2 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,5,8,7,9,6]=>[8,7,9,1,2,3,4,5,6]=>10100000=>4 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,5,6,8,9,10,7]=>[8,9,10,1,2,3,4,5,6,7]=>001000000=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,4,7,6,8,9,5]=>[7,6,8,9,1,2,3,4,5]=>10010000=>5 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,5,7,8,9,10,6]=>[7,8,9,10,1,2,3,4,5,6]=>000100000=>4 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,9,4]=>[6,5,7,8,9,1,2,3,4]=>10001000=>6 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,9,10,5]=>[6,7,8,9,10,1,2,3,4,5]=>000010000=>5 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,2,5,4,6,7,8,9,3]=>[5,4,6,7,8,9,1,2,3]=>10000100=>7 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,9,10,4]=>[5,6,7,8,9,10,1,2,3,4]=>000001000=>6 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,9,2]=>[4,3,5,6,7,8,9,1,2]=>10000010=>8 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,8,9,10,3]=>[4,5,6,7,8,9,10,1,2,3]=>000000100=>7 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,2]=>[3,4,5,6,7,8,9,10,1,2]=>000000010=>8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,1]=>000000001=>9 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>0000000000=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,6,7,10,9,8]=>[10,9,1,2,3,4,5,6,7,8]=>110000000=>3 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,9,8,7,6]=>[9,8,7,1,2,3,4,5,6]=>11100000=>6 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,8,9,10,2]=>[4,3,5,6,7,8,9,10,1,2]=>100000010=>9 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,8,9,10,1]=>[3,2,4,5,6,7,8,9,10,1]=>100000001=>10 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,8,9,10,11,2]=>[3,4,5,6,7,8,9,10,11,1,2]=>0000000010=>9 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,9,10,11,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>0000000001=>10 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,5,6,10,9,8,7]=>[10,9,8,1,2,3,4,5,6,7]=>111000000=>6 [1,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,8,9,10,1]=>[4,3,2,5,6,7,8,9,10,1]=>110000001=>12 [1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>11110000=>10 [1,0,1,0,1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,1,2,3,4,5,6]=>111100000=>10 [1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[6,2,3,4,5,7,8,9,10,1]=>[2,3,4,6,5,7,8,9,10,1]=>000100001=>13 [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,9,10,1]=>[5,4,3,2,6,7,8,9,10,1]=>111000001=>15 [1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,9,8,7,6,5,4]=>[9,8,7,6,5,1,2,3,4]=>11111000=>15 [1,0,1,0,1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,6,1,2,3,4,5]=>111110000=>15 [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,9,10,1]=>[6,5,4,3,2,7,8,9,10,1]=>111100001=>19 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,8,7,9]=>[8,1,2,3,4,5,6,7,9]=>10000000=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9]=>[7,1,2,3,4,5,6,8,9]=>10000000=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,7,6,9,8]=>[7,9,1,2,3,4,5,6,8]=>01000000=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9]=>[6,1,2,3,4,5,7,8,9]=>10000000=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,4,6,5,9,8,7]=>[9,6,8,1,2,3,4,5,7]=>10100000=>4 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9]=>[5,1,2,3,4,6,7,8,9]=>10000000=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6,9,8]=>[5,7,9,1,2,3,4,6,8]=>00100000=>3 [1,0,1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,3,5,4,9,8,7,6]=>[9,8,5,7,1,2,3,4,6]=>11010000=>7 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,2,3,6,5,4,9,8,7]=>[6,9,5,8,1,2,3,4,7]=>01010000=>6 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]=>10000000=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,7,9,8]=>[4,9,1,2,3,5,6,7,8]=>01000000=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,6,5,9,8,7]=>[9,4,6,8,1,2,3,5,7]=>10010000=>5 [1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,4,3,9,8,7,6,5]=>[9,8,7,4,6,1,2,3,5]=>11101000=>11 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,2,8,7,6,5,4,3,9]=>[8,7,6,5,4,1,2,3,9]=>11111000=>15 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>10000000=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,6,7,9,8]=>[3,9,1,2,4,5,6,7,8]=>01000000=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6,9,8]=>[3,5,7,9,1,2,4,6,8]=>00010000=>4 [1,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,5,4,9,8,7,6]=>[9,8,3,5,7,1,2,4,6]=>11001000=>8 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4,9,8,7]=>[6,9,3,5,8,1,2,4,7]=>01001000=>7 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,2,9,8,7,6,5,4]=>[9,8,7,6,3,5,1,2,4]=>11110100=>16 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8,9]=>[4,3,1,2,5,6,7,8,9]=>11000000=>3 [1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,4,3,2,9,8,7,6,5]=>[9,8,4,7,3,6,1,2,5]=>11010100=>13 [1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2,9,8,7,6]=>[5,9,4,8,3,7,1,2,6]=>01010100=>12 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>10000000=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,9,8]=>[2,9,1,3,4,5,6,7,8]=>01000000=>2 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,5,6,8,7,9]=>[2,8,1,3,4,5,6,7,9]=>01000000=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]=>01000000=>2 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8,9]=>[2,4,6,1,3,5,7,8,9]=>00100000=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,8,7,9]=>[2,4,6,8,1,3,5,7,9]=>00010000=>4 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,6,5,9,8,7]=>[9,2,4,6,8,1,3,5,7]=>10001000=>6 [1,1,0,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,4,3,9,8,7,6,5]=>[9,8,7,2,4,6,1,3,5]=>11100100=>12 [1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,5,4,3,9,8,7,6]=>[9,5,8,2,4,7,1,3,6]=>10100100=>10 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>11000000=>3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,6,7,9,8]=>[3,2,9,1,4,5,6,7,8]=>10100000=>4 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,5,4,6,7,8,9]=>[3,2,5,1,4,6,7,8,9]=>10100000=>4 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6,9,8]=>[3,2,5,7,9,1,4,6,8]=>10001000=>6 [1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,6,5,4,7,8,9]=>[3,6,2,5,1,4,7,8,9]=>01010000=>6 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4,9,8,7]=>[3,6,9,2,5,8,1,4,7]=>00100100=>9 [1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,1,9,8,7,6,5,4]=>[9,8,7,3,6,2,5,1,4]=>11101010=>18 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>11100000=>6 [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0]=>[4,3,2,1,6,5,7,8,9]=>[4,3,2,6,1,5,7,8,9]=>11010000=>7 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,8,7,9]=>[4,3,2,6,8,1,5,7,9]=>11001000=>8 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0]=>[4,3,2,1,7,6,5,8,9]=>[4,3,7,2,6,1,5,8,9]=>10101000=>9 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0]=>[4,3,2,1,7,6,5,9,8]=>[4,3,7,2,6,9,1,5,8]=>10100100=>10 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,8,7,6,5,9]=>[4,8,3,7,2,6,1,5,9]=>01010100=>12 [1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[4,3,2,1,9,8,7,6,5]=>[9,4,8,3,7,2,6,1,5]=>10101010=>16 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>11110000=>10 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0]=>[5,4,3,2,1,7,6,8,9]=>[5,4,3,2,7,1,6,8,9]=>11101000=>11 [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[5,4,3,2,1,8,7,6,9]=>[5,4,3,8,2,7,1,6,9]=>11010100=>13 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[5,4,3,2,1,9,8,7,6]=>[5,4,9,3,8,2,7,1,6]=>10101010=>16 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>11111000=>15 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0]=>[6,5,4,3,2,1,8,7,9]=>[6,5,4,3,2,8,1,7,9]=>11110100=>16 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0]=>[6,5,4,3,2,1,9,8,7]=>[6,5,4,3,9,2,8,1,7]=>11101010=>18 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,6,7,9,8,10]=>[9,1,2,3,4,5,6,7,8,10]=>100000000=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,5,6,8,7,9,10]=>[8,1,2,3,4,5,6,7,9,10]=>100000000=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,5,6,8,7,10,9]=>[8,10,1,2,3,4,5,6,7,9]=>010000000=>2 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,4,5,7,6,8,9,10]=>[7,1,2,3,4,5,6,8,9,10]=>100000000=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,6,5,7,8,9,10]=>[6,1,2,3,4,5,7,8,9,10]=>100000000=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7,10,9]=>[6,8,10,1,2,3,4,5,7,9]=>001000000=>3 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8,9,10]=>[5,1,2,3,4,6,7,8,9,10]=>100000000=>1 [1,0,1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,7,6,5,1,2,3,4]=>111111000=>21 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8,9,10]=>[4,1,2,3,5,6,7,8,9,10]=>100000000=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7,10,9]=>[4,6,8,10,1,2,3,5,7,9]=>000100000=>4 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3,10,9,8,7]=>[6,10,5,9,4,8,1,2,3,7]=>010101000=>12 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>100000000=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,9,8,10]=>[3,5,7,9,1,2,4,6,8,10]=>000100000=>4 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,7,6,10,9,8]=>[10,3,5,7,9,1,2,4,6,8]=>100010000=>6 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,6,5,4,10,9,8,7]=>[10,6,9,3,5,8,1,2,4,7]=>101001000=>10 [1,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,3,2,10,9,8,7,6,5,4]=>[10,9,8,7,6,3,5,1,2,4]=>111110100=>22 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5,10,9,8]=>[4,7,10,3,6,9,1,2,5,8]=>001001000=>9 [1,0,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,4,3,2,10,9,8,7,6,5]=>[10,9,8,4,7,3,6,1,2,5]=>111010100=>18 [1,0,1,1,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,5,4,3,2,10,9,8,7,6]=>[10,5,9,4,8,3,7,1,2,6]=>101010100=>16 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>100000000=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,7,8,10,9]=>[2,10,1,3,4,5,6,7,8,9]=>010000000=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8,9,10]=>[2,4,1,3,5,6,7,8,9,10]=>010000000=>2 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,6,5,7,8,9,10]=>[2,4,6,1,3,5,7,8,9,10]=>001000000=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,8,7,9,10]=>[2,4,6,8,1,3,5,7,9,10]=>000100000=>4 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7,10,9]=>[2,4,6,8,10,1,3,5,7,9]=>000010000=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,6,5,10,9,8,7]=>[10,9,2,4,6,8,1,3,5,7]=>110001000=>9 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5,10,9,8]=>[7,10,2,4,6,9,1,3,5,8]=>010001000=>8 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3,10,9,8,7]=>[6,10,5,9,2,4,8,1,3,7]=>010100100=>13 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[2,1,8,7,6,5,4,3,10,9]=>[8,7,6,5,2,4,10,1,3,9]=>111100100=>17 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>110000000=>3 [1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,5,4,6,7,8,9,10]=>[3,2,5,1,4,6,7,8,9,10]=>101000000=>4 [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,9,8,10]=>[3,2,5,7,9,1,4,6,8,10]=>100010000=>6 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,6,5,4,8,7,10,9]=>[3,6,2,5,8,10,1,4,7,9]=>010001000=>8 [1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,6,5,4,10,9,8,7]=>[10,3,6,9,2,5,8,1,4,7]=>100100100=>12 [1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[3,2,1,10,9,8,7,6,5,4]=>[10,9,8,7,3,6,2,5,1,4]=>111101010=>24 [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>111000000=>6 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,6,8,10,1,5,7,9]=>110001000=>9 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,6,5,10,9,8,7]=>[4,10,3,9,2,6,8,1,5,7]=>010100100=>13 [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5,10,9,8]=>[4,3,7,10,2,6,9,1,5,8]=>100100100=>12 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,8,7,6,5,9,10]=>[4,8,3,7,2,6,1,5,9,10]=>010101000=>12 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,8,7,6,5,10,9]=>[4,8,3,7,2,6,10,1,5,9]=>010100100=>13 [1,1,1,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[4,3,2,1,10,9,8,7,6,5]=>[10,9,4,8,3,7,2,6,1,5]=>110101010=>21 [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>111100000=>10 [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,9,8,10]=>[5,4,3,2,7,9,1,6,8,10]=>111001000=>12 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0]=>[5,4,3,2,1,9,8,7,6,10]=>[5,4,9,3,8,2,7,1,6,10]=>101010100=>16 [1,1,1,1,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1,10,9,8,7,6]=>[5,10,4,9,3,8,2,7,1,6]=>010101010=>20 [1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>111110000=>15 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0]=>[6,5,4,3,2,1,9,8,7,10]=>[6,5,4,3,9,2,8,1,7,10]=>111010100=>18 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,10,3,9,2,8,1,7]=>110101010=>21 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,1,0]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>111111000=>21 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0]=>[7,6,5,4,3,2,1,9,8,10]=>[7,6,5,4,3,2,9,1,8,10]=>111110100=>22 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0]=>[7,6,5,4,3,2,1,10,9,8]=>[7,6,5,4,3,10,2,9,1,8]=>111101010=>24 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>111111111=>45 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>01000000=>2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]=>00100000=>3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>00010000=>4 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]=>00001000=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,7,1,8,9]=>00000100=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,1,9]=>00000010=>7 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]=>010000000=>2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8,9]=>[4,2,3,1,5,6,7,8,9]=>10100000=>4 [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]=>001000000=>3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]=>10010000=>5 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]=>000100000=>4 [1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,4,6,5,1,7,8,9]=>[6,2,3,4,5,1,7,8,9]=>10001000=>6 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,5,6,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]=>000010000=>5 [1,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,4,5,7,6,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>10000100=>7 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,6,7,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]=>000001000=>6 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,6,8,7,1,9]=>[8,2,3,4,5,6,7,1,9]=>10000010=>8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,6,7,8,1,9,10]=>[2,3,4,5,6,7,8,1,9,10]=>000000100=>7 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>000000010=>8 [1,1,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0]=>[10,3,4,5,6,7,9,8,2,1]=>[10,3,4,5,6,7,9,8,2,1]=>100000111=>25 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,8,9,7]=>[2,8,9,1,3,4,5,6,7]=>00100000=>3 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,7,8,10,9,1]=>[10,2,3,4,5,6,7,8,9,1]=>100000001=>10 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,5,6,7,9,10,8]=>[2,9,10,1,3,4,5,6,7,8]=>001000000=>3 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,6,7,9,8]=>[2,3,9,1,4,5,6,7,8]=>00100000=>3 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[8,2,3,4,5,6,7,1,9]=>[2,3,4,5,6,8,7,1,9]=>00000110=>13 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>[7,2,3,4,5,6,1,8,9]=>[2,3,4,5,7,6,1,8,9]=>00001100=>11 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[6,2,3,4,5,1,7,8,9]=>[2,3,4,6,5,1,7,8,9]=>00011000=>9 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[5,2,3,4,1,6,7,8,9]=>[2,3,5,4,1,6,7,8,9]=>00110000=>7 [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]=>01100000=>5 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[2,10,9,8,7,6,5,4,3,1]=>[10,9,8,7,6,5,4,2,3,1]=>111111101=>37 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>[9,8,7,6,5,4,3,2,10,1]=>[9,8,7,6,5,4,3,2,10,1]=>111111101=>37 [1,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0]=>[6,5,4,3,2,7,1,8,9]=>[6,5,4,3,2,7,1,8,9]=>11110100=>16 [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0,1,0]=>[5,4,3,2,6,1,7,8,9]=>[5,4,3,2,6,1,7,8,9]=>11101000=>11 [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8,9]=>[4,3,2,5,1,6,7,8,9]=>11010000=>7 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>10100000=>4 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>[10,9,8,7,5,6,4,3,2,1]=>[5,10,9,8,7,6,4,3,2,1]=>011111111=>44 [1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,9,8,4,7,6,5,3,2,1]=>[10,9,4,8,7,6,5,3,2,1]=>110111111=>42 [1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0]=>[10,9,4,8,7,6,5,3,2,1]=>[10,9,8,4,7,6,5,3,2,1]=>111011111=>41 [1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,10,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,10,8,9,1]=>000000101=>16 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,5,2,6,7,8,9]=>[3,4,5,1,2,6,7,8,9]=>00100000=>3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,4,5,1,6,7,9,8]=>[2,3,4,5,9,1,6,7,8]=>00001000=>5 [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,6,3,4,5,7,8,9,10,1]=>[2,3,6,4,5,7,8,9,10,1]=>001000001=>12 [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,6,4,5,7,8,9,10,1]=>[2,6,3,4,5,7,8,9,10,1]=>010000001=>11 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,9,10,1]=>[6,2,3,4,5,7,8,9,10,1]=>100000001=>10 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,7,8,1,9]=>[3,2,4,5,6,7,8,1,9]=>10000010=>8 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,9,8,2]=>[9,3,4,5,6,7,8,1,2]=>10000010=>8 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,1,9,8]=>[2,3,4,5,6,7,9,1,8]=>00000010=>7 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,3]=>[2,4,5,6,7,8,9,1,3]=>00000010=>7 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,5,6,7,10,9,8,1]=>[10,9,2,3,4,5,6,7,8,1]=>110000001=>12 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0]=>[10,8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,10,9,1]=>111111011=>38 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,8,5,9]=>[6,7,8,1,2,3,4,5,9]=>00100000=>3 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,5,10,6,7,8,9,1]=>[2,3,4,10,5,6,7,8,9,1]=>000100001=>13 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,5,6,1,8,7,9]=>[2,3,4,5,6,8,1,7,9]=>00000100=>6 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,4,5,1,7,6,8,9]=>[2,3,4,5,7,1,6,8,9]=>00001000=>5 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6,9,8]=>[2,3,5,7,9,1,4,6,8]=>00001000=>5 [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,9,8,10]=>[2,3,5,7,9,1,4,6,8,10]=>000010000=>5 [1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,5,7,8,9,6]=>[2,3,4,7,8,9,1,5,6]=>00000100=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,5,6,7,10,8,9,1]=>[2,10,3,4,5,6,7,8,9,1]=>010000001=>11 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,4,5,6,10,7,8,9,1]=>[2,3,10,4,5,6,7,8,9,1]=>001000001=>12 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,4,10,5,6,7,8,9,1]=>[2,3,4,5,10,6,7,8,9,1]=>000010001=>14 [1,1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[2,3,10,4,5,6,7,8,9,1]=>[2,3,4,5,6,10,7,8,9,1]=>000001001=>15 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,10,9,1]=>000000011=>17 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[10,3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,10,9,1]=>100000011=>18 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[11,2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,11,10,1]=>0000000011=>19 [1,1,1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0]=>[10,9,8,5,4,7,6,3,2,1]=>[5,10,4,9,8,7,6,3,2,1]=>010111111=>41 [1,1,1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0]=>[10,5,4,3,2,9,8,7,6,1]=>[5,10,4,9,3,8,2,7,6,1]=>010101011=>29 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>[9,2,3,4,5,6,7,8,1,10]=>[2,3,4,5,6,7,9,8,1,10]=>000000110=>15 [1,0,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,4,9,8,7,6,5,3]=>[9,8,7,6,4,5,1,2,3]=>11110100=>16 [1,0,1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,3,5,9,8,7,6,4]=>[9,8,7,5,6,1,2,3,4]=>11101000=>11 [1,0,1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,4,6,9,8,7,5]=>[9,8,6,7,1,2,3,4,5]=>11010000=>7 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,5,7,9,8,6]=>[9,7,8,1,2,3,4,5,6]=>10100000=>4 [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,9,4]=>[3,2,5,6,7,8,9,1,4]=>10000010=>8 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0]=>[10,7,6,5,4,3,2,9,8,1]=>[7,6,5,4,3,10,2,9,8,1]=>111101011=>33 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8,9]=>01000000=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,8,9,10,3]=>[2,4,5,6,7,8,9,10,1,3]=>000000010=>8 [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,9,4]=>[2,3,5,6,7,8,9,1,4]=>00000010=>7 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,5,6,1,8,9,10,7]=>[2,3,4,5,6,8,9,10,1,7]=>000000010=>8 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,5,7,8,6,9]=>[7,8,1,2,3,4,5,6,9]=>01000000=>2 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,5,6,8,9,7,10]=>[8,9,1,2,3,4,5,6,7,10]=>010000000=>2 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,7,8,2,9,10]=>[3,4,5,6,7,8,1,2,9,10]=>000001000=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,7,8,9,10,1,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>0000000010=>9 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,2,9]=>[3,4,5,6,7,8,1,2,9]=>00000100=>6 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,5,6,2,8,9,7]=>[3,4,5,6,8,9,1,2,7]=>00000100=>6 [1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[3,2,10,9,8,7,6,5,4,1]=>[10,9,8,7,6,3,5,2,4,1]=>111110101=>31 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,8,9,4]=>[2,5,6,7,8,9,1,3,4]=>00000100=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,6,7,8,1,10,9]=>[2,3,4,5,6,7,8,10,1,9]=>000000010=>8 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,9,2,10]=>[3,4,5,6,7,8,9,1,2,10]=>000000100=>7 [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,9,5]=>[2,3,4,6,7,8,9,1,5]=>00000010=>7 [1,1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[10,3,2,9,8,7,6,5,4,1]=>[10,9,8,7,3,6,2,5,4,1]=>111101011=>33 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[4,3,2,1,10,7,6,9,8,5]=>[4,3,10,7,9,2,6,8,1,5]=>101010010=>17 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,6,7,8,10,9,2]=>[10,3,4,5,6,7,8,9,1,2]=>100000010=>9 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,7,8,3,9]=>[2,4,5,6,7,8,1,3,9]=>00000100=>6 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0]=>[8,7,6,5,4,3,2,9,10,1]=>[8,7,6,5,4,3,2,9,10,1]=>111111001=>30 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0]=>[7,6,5,4,3,2,8,9,10,1]=>[7,6,5,4,3,2,8,9,10,1]=>111110001=>24 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,6,9,10,8]=>[3,5,7,9,10,1,2,4,6,8]=>000010000=>5 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,3,6,7,8,9,5]=>[2,4,6,7,8,9,1,3,5]=>00000100=>6 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,8,9,4]=>[3,5,6,7,8,9,1,2,4]=>00000100=>6 [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8,9,10]=>[3,2,4,1,5,6,7,8,9,10]=>101000000=>4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,6,7,2,8,9]=>[3,4,5,6,7,1,2,8,9]=>00001000=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,5,6,7,9,8,1,10]=>[9,2,3,4,5,6,7,8,1,10]=>100000010=>9 [1,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>[3,2,10,4,5,6,7,8,9,1]=>[3,2,4,5,6,10,7,8,9,1]=>100001001=>16 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,8,9,10,2,11]=>[3,4,5,6,7,8,9,10,1,2,11]=>0000000100=>8 [1,1,1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[10,3,2,5,4,7,6,9,8,1]=>[3,5,7,10,2,4,6,9,8,1]=>000100011=>21 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,4,2,6,5,8,7,10,9]=>[3,4,6,8,10,1,2,5,7,9]=>000010000=>5 [1,0,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,5,6,9,8,7,2]=>[9,8,3,4,5,6,7,1,2]=>11000010=>10 [1,1,0,1,0,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6,9,8]=>[2,3,4,5,7,9,1,6,8]=>00000100=>6 [1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0]=>[10,9,6,5,4,3,8,7,2,1]=>[6,5,4,10,3,9,8,7,2,1]=>110101111=>37 [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[6,3,2,5,4,1,8,7,10,9]=>[3,6,2,5,4,8,10,1,7,9]=>010100100=>13