=>

[1,0,1,0]=>[1,2]=>1=>0=>[2] [1,1,0,0]=>[2,1]=>0=>1=>[1,1] [1,0,1,0,1,0]=>[1,2,3]=>11=>00=>[3] [1,0,1,1,0,0]=>[1,3,2]=>10=>01=>[2,1] [1,1,0,0,1,0]=>[2,1,3]=>01=>10=>[1,2] [1,1,0,1,0,0]=>[2,3,1]=>00=>11=>[1,1,1] [1,1,1,0,0,0]=>[3,2,1]=>00=>11=>[1,1,1] [1,0,1,0,1,0,1,0]=>[1,2,3,4]=>111=>000=>[4] [1,0,1,0,1,1,0,0]=>[1,2,4,3]=>110=>001=>[3,1] [1,0,1,1,0,0,1,0]=>[1,3,2,4]=>101=>010=>[2,2] [1,0,1,1,0,1,0,0]=>[1,3,4,2]=>100=>011=>[2,1,1] [1,0,1,1,1,0,0,0]=>[1,4,3,2]=>100=>011=>[2,1,1] [1,1,0,0,1,0,1,0]=>[2,1,3,4]=>011=>100=>[1,3] [1,1,0,0,1,1,0,0]=>[2,1,4,3]=>010=>101=>[1,2,1] [1,1,0,1,0,0,1,0]=>[2,3,1,4]=>001=>110=>[1,1,2] [1,1,0,1,0,1,0,0]=>[2,3,4,1]=>000=>111=>[1,1,1,1] [1,1,0,1,1,0,0,0]=>[2,4,3,1]=>000=>111=>[1,1,1,1] [1,1,1,0,0,0,1,0]=>[3,2,1,4]=>001=>110=>[1,1,2] [1,1,1,0,0,1,0,0]=>[3,2,4,1]=>000=>111=>[1,1,1,1] [1,1,1,0,1,0,0,0]=>[4,2,3,1]=>000=>111=>[1,1,1,1] [1,1,1,1,0,0,0,0]=>[4,3,2,1]=>000=>111=>[1,1,1,1] [1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5]=>1111=>0000=>[5] [1,0,1,0,1,0,1,1,0,0]=>[1,2,3,5,4]=>1110=>0001=>[4,1] [1,0,1,0,1,1,0,0,1,0]=>[1,2,4,3,5]=>1101=>0010=>[3,2] [1,0,1,0,1,1,0,1,0,0]=>[1,2,4,5,3]=>1100=>0011=>[3,1,1] [1,0,1,0,1,1,1,0,0,0]=>[1,2,5,4,3]=>1100=>0011=>[3,1,1] [1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,5]=>1011=>0100=>[2,3] [1,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4]=>1010=>0101=>[2,2,1] [1,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,5]=>1001=>0110=>[2,1,2] [1,0,1,1,0,1,0,1,0,0]=>[1,3,4,5,2]=>1000=>0111=>[2,1,1,1] [1,0,1,1,0,1,1,0,0,0]=>[1,3,5,4,2]=>1000=>0111=>[2,1,1,1] [1,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,5]=>1001=>0110=>[2,1,2] [1,0,1,1,1,0,0,1,0,0]=>[1,4,3,5,2]=>1000=>0111=>[2,1,1,1] [1,0,1,1,1,0,1,0,0,0]=>[1,5,3,4,2]=>1000=>0111=>[2,1,1,1] [1,0,1,1,1,1,0,0,0,0]=>[1,5,4,3,2]=>1000=>0111=>[2,1,1,1] [1,1,0,0,1,0,1,0,1,0]=>[2,1,3,4,5]=>0111=>1000=>[1,4] [1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4]=>0110=>1001=>[1,3,1] [1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,5]=>0101=>1010=>[1,2,2] [1,1,0,0,1,1,0,1,0,0]=>[2,1,4,5,3]=>0100=>1011=>[1,2,1,1] [1,1,0,0,1,1,1,0,0,0]=>[2,1,5,4,3]=>0100=>1011=>[1,2,1,1] [1,1,0,1,0,0,1,0,1,0]=>[2,3,1,4,5]=>0011=>1100=>[1,1,3] [1,1,0,1,0,0,1,1,0,0]=>[2,3,1,5,4]=>0010=>1101=>[1,1,2,1] [1,1,0,1,0,1,0,0,1,0]=>[2,3,4,1,5]=>0001=>1110=>[1,1,1,2] [1,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,1]=>0000=>1111=>[1,1,1,1,1] [1,1,0,1,0,1,1,0,0,0]=>[2,3,5,4,1]=>0000=>1111=>[1,1,1,1,1] [1,1,0,1,1,0,0,0,1,0]=>[2,4,3,1,5]=>0001=>1110=>[1,1,1,2] [1,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,1]=>0000=>1111=>[1,1,1,1,1] [1,1,0,1,1,0,1,0,0,0]=>[2,5,3,4,1]=>0000=>1111=>[1,1,1,1,1] [1,1,0,1,1,1,0,0,0,0]=>[2,5,4,3,1]=>0000=>1111=>[1,1,1,1,1] [1,1,1,0,0,0,1,0,1,0]=>[3,2,1,4,5]=>0011=>1100=>[1,1,3] [1,1,1,0,0,0,1,1,0,0]=>[3,2,1,5,4]=>0010=>1101=>[1,1,2,1] [1,1,1,0,0,1,0,0,1,0]=>[3,2,4,1,5]=>0001=>1110=>[1,1,1,2] [1,1,1,0,0,1,0,1,0,0]=>[3,2,4,5,1]=>0000=>1111=>[1,1,1,1,1] [1,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,1]=>0000=>1111=>[1,1,1,1,1] [1,1,1,0,1,0,0,0,1,0]=>[4,2,3,1,5]=>0001=>1110=>[1,1,1,2] [1,1,1,0,1,0,0,1,0,0]=>[4,2,3,5,1]=>0000=>1111=>[1,1,1,1,1] [1,1,1,0,1,0,1,0,0,0]=>[5,2,3,4,1]=>0000=>1111=>[1,1,1,1,1] [1,1,1,0,1,1,0,0,0,0]=>[5,2,4,3,1]=>0000=>1111=>[1,1,1,1,1] [1,1,1,1,0,0,0,0,1,0]=>[4,3,2,1,5]=>0001=>1110=>[1,1,1,2] [1,1,1,1,0,0,0,1,0,0]=>[4,3,2,5,1]=>0000=>1111=>[1,1,1,1,1] [1,1,1,1,0,0,1,0,0,0]=>[5,3,2,4,1]=>0000=>1111=>[1,1,1,1,1] [1,1,1,1,0,1,0,0,0,0]=>[5,3,4,2,1]=>0000=>1111=>[1,1,1,1,1] [1,1,1,1,1,0,0,0,0,0]=>[5,4,3,2,1]=>0000=>1111=>[1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6]=>11111=>00000=>[6] [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,6,5]=>11110=>00001=>[5,1] [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,5,4,6]=>11101=>00010=>[4,2] [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,5,6,4]=>11100=>00011=>[4,1,1] [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,6,5,4]=>11100=>00011=>[4,1,1] [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,5,6]=>11011=>00100=>[3,3] [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5]=>11010=>00101=>[3,2,1] [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,4,5,3,6]=>11001=>00110=>[3,1,2] [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,4,5,6,3]=>11000=>00111=>[3,1,1,1] [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,4,6,5,3]=>11000=>00111=>[3,1,1,1] [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,5,4,3,6]=>11001=>00110=>[3,1,2] [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,5,4,6,3]=>11000=>00111=>[3,1,1,1] [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,6,4,5,3]=>11000=>00111=>[3,1,1,1] [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,6,5,4,3]=>11000=>00111=>[3,1,1,1] [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,4,5,6]=>10111=>01000=>[2,4] [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,3,2,4,6,5]=>10110=>01001=>[2,3,1] [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,6]=>10101=>01010=>[2,2,2] [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,6,4]=>10100=>01011=>[2,2,1,1] [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,6,5,4]=>10100=>01011=>[2,2,1,1] [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,3,4,2,5,6]=>10011=>01100=>[2,1,3] [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,3,4,2,6,5]=>10010=>01101=>[2,1,2,1] [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,2,6]=>10001=>01110=>[2,1,1,2] [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,3,4,6,5,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,3,5,4,2,6]=>10001=>01110=>[2,1,1,2] [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,3,5,4,6,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,3,6,4,5,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,3,6,5,4,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,4,3,2,5,6]=>10011=>01100=>[2,1,3] [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,4,3,2,6,5]=>10010=>01101=>[2,1,2,1] [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,4,3,5,2,6]=>10001=>01110=>[2,1,1,2] [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,4,3,5,6,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,5,3,4,2,6]=>10001=>01110=>[2,1,1,2] [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,5,3,4,6,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,6,3,4,5,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,6,3,5,4,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,5,4,3,2,6]=>10001=>01110=>[2,1,1,2] [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,5,4,3,6,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,6,4,3,5,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,6,4,5,3,2]=>10000=>01111=>[2,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,6,5,4,3,2]=>10000=>01111=>[2,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6]=>01111=>10000=>[1,5] [1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,6,5]=>01110=>10001=>[1,4,1] [1,1,0,0,1,0,1,1,0,0,1,0]=>[2,1,3,5,4,6]=>01101=>10010=>[1,3,2] [1,1,0,0,1,0,1,1,0,1,0,0]=>[2,1,3,5,6,4]=>01100=>10011=>[1,3,1,1] [1,1,0,0,1,0,1,1,1,0,0,0]=>[2,1,3,6,5,4]=>01100=>10011=>[1,3,1,1] [1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,5,6]=>01011=>10100=>[1,2,3] [1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5]=>01010=>10101=>[1,2,2,1] [1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,5,3,6]=>01001=>10110=>[1,2,1,2] [1,1,0,0,1,1,0,1,0,1,0,0]=>[2,1,4,5,6,3]=>01000=>10111=>[1,2,1,1,1] [1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,6,5,3]=>01000=>10111=>[1,2,1,1,1] [1,1,0,0,1,1,1,0,0,0,1,0]=>[2,1,5,4,3,6]=>01001=>10110=>[1,2,1,2] [1,1,0,0,1,1,1,0,0,1,0,0]=>[2,1,5,4,6,3]=>01000=>10111=>[1,2,1,1,1] [1,1,0,0,1,1,1,0,1,0,0,0]=>[2,1,6,4,5,3]=>01000=>10111=>[1,2,1,1,1] [1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,6,5,4,3]=>01000=>10111=>[1,2,1,1,1] [1,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,1,4,5,6]=>00111=>11000=>[1,1,4] [1,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,1,4,6,5]=>00110=>11001=>[1,1,3,1] [1,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,6]=>00101=>11010=>[1,1,2,2] [1,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,1,5,6,4]=>00100=>11011=>[1,1,2,1,1] [1,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,1,6,5,4]=>00100=>11011=>[1,1,2,1,1] [1,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,1,5,6]=>00011=>11100=>[1,1,1,3] [1,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,1,6,5]=>00010=>11101=>[1,1,1,2,1] [1,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,6,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,5,4,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,5,4,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,6,4,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,6,5,4,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,1,0,0,0,1,0,1,0]=>[2,4,3,1,5,6]=>00011=>11100=>[1,1,1,3] [1,1,0,1,1,0,0,0,1,1,0,0]=>[2,4,3,1,6,5]=>00010=>11101=>[1,1,1,2,1] [1,1,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,5,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,5,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,1,0,1,0,0,0,1,0]=>[2,5,3,4,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,0,1,1,0,1,0,0,1,0,0]=>[2,5,3,4,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,1,0,1,0,1,0,0,0]=>[2,6,3,4,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,0]=>[2,6,3,5,4,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,1,1,0,0,0,0,1,0]=>[2,5,4,3,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,0,1,1,1,0,0,0,1,0,0]=>[2,5,4,3,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,1,1,0,0,1,0,0,0]=>[2,6,4,3,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,1,1,0,1,0,0,0,0]=>[2,6,4,5,3,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,0]=>[2,6,5,4,3,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,1,4,5,6]=>00111=>11000=>[1,1,4] [1,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,1,4,6,5]=>00110=>11001=>[1,1,3,1] [1,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,6]=>00101=>11010=>[1,1,2,2] [1,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,1,5,6,4]=>00100=>11011=>[1,1,2,1,1] [1,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,1,6,5,4]=>00100=>11011=>[1,1,2,1,1] [1,1,1,0,0,1,0,0,1,0,1,0]=>[3,2,4,1,5,6]=>00011=>11100=>[1,1,1,3] [1,1,1,0,0,1,0,0,1,1,0,0]=>[3,2,4,1,6,5]=>00010=>11101=>[1,1,1,2,1] [1,1,1,0,0,1,0,1,0,0,1,0]=>[3,2,4,5,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,1,0,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,0,1,0,1,1,0,0,0]=>[3,2,4,6,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,1,0,0,1,1,0,0,1,0,0]=>[3,2,5,4,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,0,1,1,0,1,0,0,0]=>[3,2,6,4,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,0,1,1,1,0,0,0,0]=>[3,2,6,5,4,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,1,0,0,0,1,0,1,0]=>[4,2,3,1,5,6]=>00011=>11100=>[1,1,1,3] [1,1,1,0,1,0,0,0,1,1,0,0]=>[4,2,3,1,6,5]=>00010=>11101=>[1,1,1,2,1] [1,1,1,0,1,0,0,1,0,0,1,0]=>[4,2,3,5,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,1,0,1,0,0,1,0,1,0,0]=>[4,2,3,5,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,1,0,0,1,1,0,0,0]=>[4,2,3,6,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,1,0,1,0,0,0,1,0]=>[5,2,3,4,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,1,0,1,0,1,0,0,1,0,0]=>[5,2,3,4,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,1,0,1,0,1,0,0,0]=>[6,2,3,4,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,1,0,1,1,0,0,0,0]=>[6,2,3,5,4,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,1,1,0,0,0,0,1,0]=>[5,2,4,3,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,1,0,1,1,0,0,0,1,0,0]=>[5,2,4,3,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,1,1,0,0,1,0,0,0]=>[6,2,4,3,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,1,1,0,1,0,0,0,0]=>[6,2,4,5,3,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,0]=>[6,2,5,4,3,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,0]=>[4,3,2,1,5,6]=>00011=>11100=>[1,1,1,3] [1,1,1,1,0,0,0,0,1,1,0,0]=>[4,3,2,1,6,5]=>00010=>11101=>[1,1,1,2,1] [1,1,1,1,0,0,0,1,0,0,1,0]=>[4,3,2,5,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,1,1,0,0,0,1,0,1,0,0]=>[4,3,2,5,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,0,0,0,1,1,0,0,0]=>[4,3,2,6,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,0,0,1,0,0,0,1,0]=>[5,3,2,4,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,1,1,0,0,1,0,0,1,0,0]=>[5,3,2,4,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,0,0,1,0,1,0,0,0]=>[6,3,2,4,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,0,0,1,1,0,0,0,0]=>[6,3,2,5,4,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,0,1,0,0,0,0,1,0]=>[5,3,4,2,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,1,1,0,1,0,0,0,1,0,0]=>[5,3,4,2,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,0,1,0,0,1,0,0,0]=>[6,3,4,2,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,0,1,0,1,0,0,0,0]=>[6,3,4,5,2,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,0,1,1,0,0,0,0,0]=>[6,3,5,4,2,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,0]=>[5,4,3,2,1,6]=>00001=>11110=>[1,1,1,1,2] [1,1,1,1,1,0,0,0,0,1,0,0]=>[5,4,3,2,6,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,1,0,0,0,1,0,0,0]=>[6,4,3,2,5,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,1,0,0,1,0,0,0,0]=>[6,4,3,5,2,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,0,0]=>[6,5,3,4,2,1]=>00000=>11111=>[1,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0]=>[6,5,4,3,2,1]=>00000=>11111=>[1,1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7]=>111111=>000000=>[7] [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,7,6]=>111110=>000001=>[6,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,6,5,7]=>111101=>000010=>[5,2] [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,6,7,5]=>111100=>000011=>[5,1,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,7,6,5]=>111100=>000011=>[5,1,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,5,4,6,7]=>111011=>000100=>[4,3] [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,5,4,7,6]=>111010=>000101=>[4,2,1] [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,5,6,4,7]=>111001=>000110=>[4,1,2] [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,4]=>111000=>000111=>[4,1,1,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,5,7,6,4]=>111000=>000111=>[4,1,1,1] [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,6,5,4,7]=>111001=>000110=>[4,1,2] [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,6,5,7,4]=>111000=>000111=>[4,1,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,7,5,6,4]=>111000=>000111=>[4,1,1,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,7,6,5,4]=>111000=>000111=>[4,1,1,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7]=>110111=>001000=>[3,4] [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,2,4,3,5,7,6]=>110110=>001001=>[3,3,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,4,3,6,5,7]=>110101=>001010=>[3,2,2] [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,4,3,6,7,5]=>110100=>001011=>[3,2,1,1] [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,4,3,7,6,5]=>110100=>001011=>[3,2,1,1] [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,3,6,7]=>110011=>001100=>[3,1,3] [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,4,5,3,7,6]=>110010=>001101=>[3,1,2,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,4,5,6,3,7]=>110001=>001110=>[3,1,1,2] [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,4,5,6,7,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,4,5,7,6,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,4,6,5,3,7]=>110001=>001110=>[3,1,1,2] [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,4,6,5,7,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,4,7,5,6,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,4,7,6,5,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,2,5,4,3,6,7]=>110011=>001100=>[3,1,3] [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,5,4,3,7,6]=>110010=>001101=>[3,1,2,1] [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,5,4,6,3,7]=>110001=>001110=>[3,1,1,2] [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,5,4,6,7,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,5,4,7,6,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,6,4,5,3,7]=>110001=>001110=>[3,1,1,2] [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,6,4,5,7,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,7,4,5,6,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,7,4,6,5,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,6,5,4,3,7]=>110001=>001110=>[3,1,1,2] [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,6,5,4,7,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,7,5,4,6,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,7,5,6,4,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,7,6,5,4,3]=>110000=>001111=>[3,1,1,1,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7]=>101111=>010000=>[2,5] [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,3,2,4,5,7,6]=>101110=>010001=>[2,4,1] [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,6,5,7]=>101101=>010010=>[2,3,2] [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,2,4,6,7,5]=>101100=>010011=>[2,3,1,1] [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,3,2,4,7,6,5]=>101100=>010011=>[2,3,1,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,3,2,5,4,6,7]=>101011=>010100=>[2,2,3] [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,3,2,5,4,7,6]=>101010=>010101=>[2,2,2,1] [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,2,5,6,4,7]=>101001=>010110=>[2,2,1,2] [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,3,2,5,6,7,4]=>101000=>010111=>[2,2,1,1,1] [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,2,5,7,6,4]=>101000=>010111=>[2,2,1,1,1] [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,3,2,6,5,4,7]=>101001=>010110=>[2,2,1,2] [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,3,2,6,5,7,4]=>101000=>010111=>[2,2,1,1,1] [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,3,2,7,5,6,4]=>101000=>010111=>[2,2,1,1,1] [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,2,7,6,5,4]=>101000=>010111=>[2,2,1,1,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7]=>100111=>011000=>[2,1,4] [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,3,4,2,5,7,6]=>100110=>011001=>[2,1,3,1] [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,3,4,2,6,5,7]=>100101=>011010=>[2,1,2,2] [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,3,4,2,6,7,5]=>100100=>011011=>[2,1,2,1,1] [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,3,4,2,7,6,5]=>100100=>011011=>[2,1,2,1,1] [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,3,4,5,2,6,7]=>100011=>011100=>[2,1,1,3] [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,3,4,5,2,7,6]=>100010=>011101=>[2,1,1,2,1] [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,3,4,5,6,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,3,4,5,7,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,3,4,6,5,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,3,4,6,5,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,3,4,7,5,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,3,4,7,6,5,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,3,5,4,2,6,7]=>100011=>011100=>[2,1,1,3] [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,3,5,4,2,7,6]=>100010=>011101=>[2,1,1,2,1] [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,3,5,4,6,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,3,5,4,6,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,3,5,4,7,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,3,6,4,5,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,3,6,4,5,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,3,7,4,5,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,3,7,4,6,5,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,3,6,5,4,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,6,5,4,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,3,7,5,4,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,3,7,5,6,4,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,7,6,5,4,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7]=>100111=>011000=>[2,1,4] [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,4,3,2,5,7,6]=>100110=>011001=>[2,1,3,1] [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,4,3,2,6,5,7]=>100101=>011010=>[2,1,2,2] [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,4,3,2,6,7,5]=>100100=>011011=>[2,1,2,1,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,4,3,2,7,6,5]=>100100=>011011=>[2,1,2,1,1] [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,4,3,5,2,6,7]=>100011=>011100=>[2,1,1,3] [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,4,3,5,2,7,6]=>100010=>011101=>[2,1,1,2,1] [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,4,3,5,6,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,4,3,5,6,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,4,3,5,7,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,4,3,6,5,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,4,3,6,5,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,4,3,7,5,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,4,3,7,6,5,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,5,3,4,2,6,7]=>100011=>011100=>[2,1,1,3] [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,5,3,4,2,7,6]=>100010=>011101=>[2,1,1,2,1] [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,5,3,4,6,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,5,3,4,6,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,5,3,4,7,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,6,3,4,5,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,6,3,4,5,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,7,3,4,5,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,7,3,4,6,5,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,6,3,5,4,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,6,3,5,4,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,7,3,5,4,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,7,3,5,6,4,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,7,3,6,5,4,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,5,4,3,2,6,7]=>100011=>011100=>[2,1,1,3] [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,5,4,3,2,7,6]=>100010=>011101=>[2,1,1,2,1] [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,5,4,3,6,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,5,4,3,6,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,5,4,3,7,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,6,4,3,5,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,6,4,3,5,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,7,4,3,5,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,7,4,3,6,5,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,6,4,5,3,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,6,4,5,3,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,7,4,5,3,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,7,4,5,6,3,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,7,4,6,5,3,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,6,5,4,3,2,7]=>100001=>011110=>[2,1,1,1,2] [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,6,5,4,3,7,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,7,5,4,3,6,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,7,5,4,6,3,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,7,6,4,5,3,2]=>100000=>011111=>[2,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,7,6,5,4,3,2]=>100000=>011111=>[2,1,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7]=>011111=>100000=>[1,6] [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,7,6]=>011110=>100001=>[1,5,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[2,1,3,4,6,5,7]=>011101=>100010=>[1,4,2] [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,1,3,4,6,7,5]=>011100=>100011=>[1,4,1,1] [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[2,1,3,4,7,6,5]=>011100=>100011=>[1,4,1,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,5,4,6,7]=>011011=>100100=>[1,3,3] [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,5,4,7,6]=>011010=>100101=>[1,3,2,1] [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[2,1,3,5,6,4,7]=>011001=>100110=>[1,3,1,2] [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,5,6,7,4]=>011000=>100111=>[1,3,1,1,1] [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[2,1,3,5,7,6,4]=>011000=>100111=>[1,3,1,1,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[2,1,3,6,5,4,7]=>011001=>100110=>[1,3,1,2] [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[2,1,3,6,5,7,4]=>011000=>100111=>[1,3,1,1,1] [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,7,5,6,4]=>011000=>100111=>[1,3,1,1,1] [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,7,6,5,4]=>011000=>100111=>[1,3,1,1,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7]=>010111=>101000=>[1,2,4] [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,4,3,5,7,6]=>010110=>101001=>[1,2,3,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,1,4,3,6,5,7]=>010101=>101010=>[1,2,2,2] [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[2,1,4,3,6,7,5]=>010100=>101011=>[1,2,2,1,1] [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,4,3,7,6,5]=>010100=>101011=>[1,2,2,1,1] [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[2,1,4,5,3,6,7]=>010011=>101100=>[1,2,1,3] [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,3,7,6]=>010010=>101101=>[1,2,1,2,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[2,1,4,5,6,3,7]=>010001=>101110=>[1,2,1,1,2] [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,1,4,5,6,7,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,7,6,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[2,1,4,6,5,3,7]=>010001=>101110=>[1,2,1,1,2] [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[2,1,4,6,5,7,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[2,1,4,7,5,6,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[2,1,4,7,6,5,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[2,1,5,4,3,6,7]=>010011=>101100=>[1,2,1,3] [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,5,4,3,7,6]=>010010=>101101=>[1,2,1,2,1] [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,1,5,4,6,3,7]=>010001=>101110=>[1,2,1,1,2] [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[2,1,5,4,6,7,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,1,5,4,7,6,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[2,1,6,4,5,3,7]=>010001=>101110=>[1,2,1,1,2] [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[2,1,6,4,5,7,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[2,1,7,4,5,6,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[2,1,7,4,6,5,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[2,1,6,5,4,3,7]=>010001=>101110=>[1,2,1,1,2] [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[2,1,6,5,4,7,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[2,1,7,5,4,6,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,1,7,5,6,4,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,7,6,5,4,3]=>010000=>101111=>[1,2,1,1,1,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7]=>001111=>110000=>[1,1,5] [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[2,3,1,4,5,7,6]=>001110=>110001=>[1,1,4,1] [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[2,3,1,4,6,5,7]=>001101=>110010=>[1,1,3,2] [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,6,7,5]=>001100=>110011=>[1,1,3,1,1] [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[2,3,1,4,7,6,5]=>001100=>110011=>[1,1,3,1,1] [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[2,3,1,5,4,6,7]=>001011=>110100=>[1,1,2,3] [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[2,3,1,5,4,7,6]=>001010=>110101=>[1,1,2,2,1] [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[2,3,1,5,6,4,7]=>001001=>110110=>[1,1,2,1,2] [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,4]=>001000=>110111=>[1,1,2,1,1,1] [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[2,3,1,5,7,6,4]=>001000=>110111=>[1,1,2,1,1,1] [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[2,3,1,6,5,4,7]=>001001=>110110=>[1,1,2,1,2] [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[2,3,1,6,5,7,4]=>001000=>110111=>[1,1,2,1,1,1] [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[2,3,1,7,5,6,4]=>001000=>110111=>[1,1,2,1,1,1] [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,1,7,6,5,4]=>001000=>110111=>[1,1,2,1,1,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7]=>000111=>111000=>[1,1,1,4] [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[2,3,4,1,5,7,6]=>000110=>111001=>[1,1,1,3,1] [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[2,3,4,1,6,5,7]=>000101=>111010=>[1,1,1,2,2] [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[2,3,4,1,6,7,5]=>000100=>111011=>[1,1,1,2,1,1] [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,1,7,6,5]=>000100=>111011=>[1,1,1,2,1,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[2,3,4,5,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[2,3,4,5,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[2,3,4,5,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[2,3,4,6,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[2,3,4,6,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[2,3,4,7,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[2,3,4,7,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[2,3,5,4,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[2,3,5,4,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[2,3,5,4,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,5,4,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,5,4,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[2,3,6,4,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[2,3,6,4,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[2,3,7,4,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[2,3,7,4,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,6,5,4,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,6,5,4,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[2,3,7,5,4,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[2,3,7,5,6,4,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,7,6,5,4,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7]=>000111=>111000=>[1,1,1,4] [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[2,4,3,1,5,7,6]=>000110=>111001=>[1,1,1,3,1] [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[2,4,3,1,6,5,7]=>000101=>111010=>[1,1,1,2,2] [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[2,4,3,1,6,7,5]=>000100=>111011=>[1,1,1,2,1,1] [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,4,3,1,7,6,5]=>000100=>111011=>[1,1,1,2,1,1] [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[2,4,3,5,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[2,4,3,5,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[2,4,3,5,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[2,4,3,5,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[2,4,3,6,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[2,4,3,6,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[2,4,3,7,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,4,3,7,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[2,5,3,4,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[2,5,3,4,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[2,5,3,4,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,5,3,4,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[2,5,3,4,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[2,6,3,4,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,6,3,4,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,7,3,4,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[2,7,3,4,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[2,6,3,5,4,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,6,3,5,4,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[2,7,3,5,4,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[2,7,3,5,6,4,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[2,7,3,6,5,4,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[2,5,4,3,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[2,5,4,3,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[2,5,4,3,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,5,4,3,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[2,5,4,3,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[2,6,4,3,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,6,4,3,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[2,7,4,3,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[2,7,4,3,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,6,4,5,3,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,6,4,5,3,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[2,7,4,5,3,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[2,7,4,5,6,3,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[2,7,4,6,5,3,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,6,5,4,3,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,6,5,4,3,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[2,7,5,4,3,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[2,7,5,4,6,3,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[2,7,6,4,5,3,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,7,6,5,4,3,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7]=>001111=>110000=>[1,1,5] [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[3,2,1,4,5,7,6]=>001110=>110001=>[1,1,4,1] [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[3,2,1,4,6,5,7]=>001101=>110010=>[1,1,3,2] [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,6,7,5]=>001100=>110011=>[1,1,3,1,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,7,6,5]=>001100=>110011=>[1,1,3,1,1] [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[3,2,1,5,4,6,7]=>001011=>110100=>[1,1,2,3] [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[3,2,1,5,4,7,6]=>001010=>110101=>[1,1,2,2,1] [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[3,2,1,5,6,4,7]=>001001=>110110=>[1,1,2,1,2] [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,4]=>001000=>110111=>[1,1,2,1,1,1] [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[3,2,1,5,7,6,4]=>001000=>110111=>[1,1,2,1,1,1] [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[3,2,1,6,5,4,7]=>001001=>110110=>[1,1,2,1,2] [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[3,2,1,6,5,7,4]=>001000=>110111=>[1,1,2,1,1,1] [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[3,2,1,7,5,6,4]=>001000=>110111=>[1,1,2,1,1,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[3,2,1,7,6,5,4]=>001000=>110111=>[1,1,2,1,1,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7]=>000111=>111000=>[1,1,1,4] [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[3,2,4,1,5,7,6]=>000110=>111001=>[1,1,1,3,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[3,2,4,1,6,5,7]=>000101=>111010=>[1,1,1,2,2] [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[3,2,4,1,6,7,5]=>000100=>111011=>[1,1,1,2,1,1] [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,1,7,6,5]=>000100=>111011=>[1,1,1,2,1,1] [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[3,2,4,5,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[3,2,4,5,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[3,2,4,5,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[3,2,4,5,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[3,2,4,5,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[3,2,4,6,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[3,2,4,6,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[3,2,4,7,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[3,2,4,7,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[3,2,5,4,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[3,2,5,4,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[3,2,5,4,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[3,2,5,4,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[3,2,5,4,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[3,2,6,4,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[3,2,6,4,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[3,2,7,4,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[3,2,7,4,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[3,2,6,5,4,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[3,2,6,5,4,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[3,2,7,5,4,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[3,2,7,5,6,4,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[3,2,7,6,5,4,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7]=>000111=>111000=>[1,1,1,4] [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[4,2,3,1,5,7,6]=>000110=>111001=>[1,1,1,3,1] [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[4,2,3,1,6,5,7]=>000101=>111010=>[1,1,1,2,2] [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[4,2,3,1,6,7,5]=>000100=>111011=>[1,1,1,2,1,1] [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[4,2,3,1,7,6,5]=>000100=>111011=>[1,1,1,2,1,1] [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[4,2,3,5,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[4,2,3,5,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[4,2,3,5,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[4,2,3,5,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[4,2,3,5,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[4,2,3,6,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[4,2,3,6,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[4,2,3,7,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[4,2,3,7,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[5,2,3,4,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[5,2,3,4,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[5,2,3,4,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[5,2,3,4,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[5,2,3,4,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[6,2,3,4,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[6,2,3,4,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[7,2,3,4,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[7,2,3,4,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[6,2,3,5,4,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[6,2,3,5,4,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[7,2,3,5,4,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[7,2,3,5,6,4,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[7,2,3,6,5,4,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[5,2,4,3,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[5,2,4,3,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[5,2,4,3,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[5,2,4,3,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[5,2,4,3,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[6,2,4,3,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[6,2,4,3,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[7,2,4,3,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[7,2,4,3,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[6,2,4,5,3,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[6,2,4,5,3,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[7,2,4,5,3,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[7,2,4,5,6,3,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[7,2,4,6,5,3,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[6,2,5,4,3,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[6,2,5,4,3,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[7,2,5,4,3,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[7,2,5,4,6,3,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[7,2,6,4,5,3,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[7,2,6,5,4,3,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7]=>000111=>111000=>[1,1,1,4] [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[4,3,2,1,5,7,6]=>000110=>111001=>[1,1,1,3,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[4,3,2,1,6,5,7]=>000101=>111010=>[1,1,1,2,2] [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[4,3,2,1,6,7,5]=>000100=>111011=>[1,1,1,2,1,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[4,3,2,1,7,6,5]=>000100=>111011=>[1,1,1,2,1,1] [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[4,3,2,5,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[4,3,2,5,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[4,3,2,5,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[4,3,2,5,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[4,3,2,5,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[4,3,2,6,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[4,3,2,6,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[4,3,2,7,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[4,3,2,7,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[5,3,2,4,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[5,3,2,4,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[5,3,2,4,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[5,3,2,4,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[5,3,2,4,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[6,3,2,4,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[6,3,2,4,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[7,3,2,4,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[7,3,2,4,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[6,3,2,5,4,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[6,3,2,5,4,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[7,3,2,5,4,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[7,3,2,5,6,4,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[7,3,2,6,5,4,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[5,3,4,2,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[5,3,4,2,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[5,3,4,2,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[5,3,4,2,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[5,3,4,2,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[6,3,4,2,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[6,3,4,2,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[7,3,4,2,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[7,3,4,2,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[6,3,4,5,2,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[6,3,4,5,2,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[7,3,4,5,2,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[7,3,4,5,6,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[7,3,4,6,5,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[6,3,5,4,2,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[6,3,5,4,2,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[7,3,5,4,2,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[7,3,5,4,6,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[7,3,6,4,5,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[7,3,6,5,4,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[5,4,3,2,1,6,7]=>000011=>111100=>[1,1,1,1,3] [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[5,4,3,2,1,7,6]=>000010=>111101=>[1,1,1,1,2,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[5,4,3,2,6,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[5,4,3,2,6,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[5,4,3,2,7,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[6,4,3,2,5,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[6,4,3,2,5,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[7,4,3,2,5,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[7,4,3,2,6,5,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[6,4,3,5,2,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[6,4,3,5,2,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[7,4,3,5,2,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[7,4,3,5,6,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[7,4,3,6,5,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[6,5,3,4,2,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[6,5,3,4,2,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[7,5,3,4,2,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[7,5,3,4,6,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[7,6,3,4,5,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[7,6,3,5,4,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[6,5,4,3,2,1,7]=>000001=>111110=>[1,1,1,1,1,2] [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[6,5,4,3,2,7,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[7,5,4,3,2,6,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[7,5,4,3,6,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[7,6,4,3,5,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[7,6,4,5,3,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[7,6,5,4,3,2,1]=>000000=>111111=>[1,1,1,1,1,1,1] [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,2,3,4,5,6,7,8]=>1111111=>0000000=>[8] [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,2,3,4,5,6,8,7]=>1111110=>0000001=>[7,1] [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,2,3,4,5,7,6,8]=>1111101=>0000010=>[6,2] [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,2,3,4,5,7,8,6]=>1111100=>0000011=>[6,1,1] [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,2,3,4,5,8,7,6]=>1111100=>0000011=>[6,1,1] [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,2,3,4,6,5,7,8]=>1111011=>0000100=>[5,3] [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,2,3,4,6,5,8,7]=>1111010=>0000101=>[5,2,1] [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,2,3,4,6,7,5,8]=>1111001=>0000110=>[5,1,2] [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,2,3,4,6,7,8,5]=>1111000=>0000111=>[5,1,1,1] [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,2,3,4,6,8,7,5]=>1111000=>0000111=>[5,1,1,1] [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,2,3,4,7,6,5,8]=>1111001=>0000110=>[5,1,2] [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,2,3,4,7,6,8,5]=>1111000=>0000111=>[5,1,1,1] [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,2,3,4,8,6,7,5]=>1111000=>0000111=>[5,1,1,1] [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,2,3,4,8,7,6,5]=>1111000=>0000111=>[5,1,1,1] [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,2,3,5,4,6,7,8]=>1110111=>0001000=>[4,4] [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,2,3,5,4,7,6,8]=>1110101=>0001010=>[4,2,2] [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,2,3,5,4,7,8,6]=>1110100=>0001011=>[4,2,1,1] [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,2,3,5,4,8,7,6]=>1110100=>0001011=>[4,2,1,1] [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,2,3,5,6,4,7,8]=>1110011=>0001100=>[4,1,3] [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,2,3,5,6,4,8,7]=>1110010=>0001101=>[4,1,2,1] [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,2,3,5,6,7,4,8]=>1110001=>0001110=>[4,1,1,2] [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,2,3,5,6,7,8,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,2,3,5,6,8,7,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,2,3,5,7,6,4,8]=>1110001=>0001110=>[4,1,1,2] [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,2,3,5,7,6,8,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,2,3,5,8,6,7,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,2,3,5,8,7,6,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,2,3,6,5,4,8,7]=>1110010=>0001101=>[4,1,2,1] [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,2,3,6,5,7,4,8]=>1110001=>0001110=>[4,1,1,2] [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,2,3,6,5,7,8,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,2,3,6,5,8,7,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,2,3,7,5,6,4,8]=>1110001=>0001110=>[4,1,1,2] [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,2,3,7,5,6,8,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,2,3,8,5,6,7,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,2,3,8,5,7,6,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,2,3,7,6,5,4,8]=>1110001=>0001110=>[4,1,1,2] [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,2,3,7,6,5,8,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,2,3,8,6,5,7,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,2,3,8,6,7,5,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,2,3,8,7,6,5,4]=>1110000=>0001111=>[4,1,1,1,1] [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,2,4,3,5,6,7,8]=>1101111=>0010000=>[3,5] [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,2,4,3,5,6,8,7]=>1101110=>0010001=>[3,4,1] [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,2,4,3,5,7,8,6]=>1101100=>0010011=>[3,3,1,1] [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,2,4,3,6,5,7,8]=>1101011=>0010100=>[3,2,3] [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,2,4,3,6,5,8,7]=>1101010=>0010101=>[3,2,2,1] [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,2,4,3,6,7,5,8]=>1101001=>0010110=>[3,2,1,2] [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,2,4,3,6,7,8,5]=>1101000=>0010111=>[3,2,1,1,1] [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,2,4,3,6,8,7,5]=>1101000=>0010111=>[3,2,1,1,1] [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,2,4,3,8,7,6,5]=>1101000=>0010111=>[3,2,1,1,1] [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,2,4,5,3,8,7,6]=>1100100=>0011011=>[3,1,2,1,1] [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,2,4,5,6,3,7,8]=>1100011=>0011100=>[3,1,1,3] [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,2,4,5,8,6,7,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,2,4,6,5,8,7,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,2,4,7,6,5,8,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,2,4,8,6,5,7,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,2,4,8,7,6,5,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,2,5,4,3,6,8,7]=>1100110=>0011001=>[3,1,3,1] [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,2,5,4,3,7,8,6]=>1100100=>0011011=>[3,1,2,1,1] [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,2,5,4,6,7,3,8]=>1100001=>0011110=>[3,1,1,1,2] [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,2,5,4,6,8,7,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,2,5,4,8,6,7,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,2,5,4,8,7,6,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,2,6,4,5,3,7,8]=>1100011=>0011100=>[3,1,1,3] [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,2,8,4,5,6,7,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,2,6,5,4,3,7,8]=>1100011=>0011100=>[3,1,1,3] [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,2,6,5,4,8,7,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,2,7,5,4,6,8,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,2,8,5,4,6,7,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,2,8,5,4,7,6,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,2,8,7,6,5,4,3]=>1100000=>0011111=>[3,1,1,1,1,1] [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,3,2,4,5,6,7,8]=>1011111=>0100000=>[2,6] [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,3,2,4,5,7,6,8]=>1011101=>0100010=>[2,4,2] [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,3,2,4,6,5,7,8]=>1011011=>0100100=>[2,3,3] [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,3,2,4,6,5,8,7]=>1011010=>0100101=>[2,3,2,1] [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,3,2,4,6,7,8,5]=>1011000=>0100111=>[2,3,1,1,1] [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,3,2,4,6,8,7,5]=>1011000=>0100111=>[2,3,1,1,1] [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,3,2,4,7,6,5,8]=>1011001=>0100110=>[2,3,1,2] [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,3,2,4,8,7,6,5]=>1011000=>0100111=>[2,3,1,1,1] [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,3,2,5,4,6,7,8]=>1010111=>0101000=>[2,2,4] [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,3,2,5,4,7,6,8]=>1010101=>0101010=>[2,2,2,2] [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,3,2,5,4,7,8,6]=>1010100=>0101011=>[2,2,2,1,1] [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,3,2,5,4,8,7,6]=>1010100=>0101011=>[2,2,2,1,1] [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,3,2,6,5,7,4,8]=>1010001=>0101110=>[2,2,1,1,2] [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,3,2,6,5,8,7,4]=>1010000=>0101111=>[2,2,1,1,1,1] [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,3,2,7,5,6,8,4]=>1010000=>0101111=>[2,2,1,1,1,1] [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,3,2,8,5,7,6,4]=>1010000=>0101111=>[2,2,1,1,1,1] [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,3,2,8,7,6,5,4]=>1010000=>0101111=>[2,2,1,1,1,1] [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,3,4,2,5,6,7,8]=>1001111=>0110000=>[2,1,5] [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,3,4,2,5,7,8,6]=>1001100=>0110011=>[2,1,3,1,1] [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,3,4,2,6,7,5,8]=>1001001=>0110110=>[2,1,2,1,2] [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,3,4,2,6,8,7,5]=>1001000=>0110111=>[2,1,2,1,1,1] [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,3,4,2,8,7,6,5]=>1001000=>0110111=>[2,1,2,1,1,1] [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,3,4,5,6,7,2,8]=>1000001=>0111110=>[2,1,1,1,1,2] [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,3,4,7,6,5,8,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,3,4,8,7,6,5,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,3,5,4,2,6,8,7]=>1000110=>0111001=>[2,1,1,3,1] [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,3,5,4,7,6,2,8]=>1000001=>0111110=>[2,1,1,1,1,2] [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,3,6,4,5,2,8,7]=>1000010=>0111101=>[2,1,1,1,2,1] [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,3,6,4,5,7,2,8]=>1000001=>0111110=>[2,1,1,1,1,2] [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,3,6,4,5,8,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,3,8,4,5,6,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,3,8,4,6,7,5,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,3,6,5,4,2,8,7]=>1000010=>0111101=>[2,1,1,1,2,1] [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,3,6,5,4,7,2,8]=>1000001=>0111110=>[2,1,1,1,1,2] [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,3,6,5,4,8,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,3,8,5,4,6,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,3,8,5,6,7,4,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,3,8,5,7,6,4,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,3,8,6,5,7,4,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,3,8,7,5,6,4,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,3,8,7,6,5,4,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,4,3,2,5,6,7,8]=>1001111=>0110000=>[2,1,5] [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,4,3,2,5,6,8,7]=>1001110=>0110001=>[2,1,4,1] [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,4,3,2,5,7,6,8]=>1001101=>0110010=>[2,1,3,2] [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,4,3,2,5,8,7,6]=>1001100=>0110011=>[2,1,3,1,1] [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,4,3,2,6,7,5,8]=>1001001=>0110110=>[2,1,2,1,2] [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,4,3,2,6,7,8,5]=>1001000=>0110111=>[2,1,2,1,1,1] [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,4,3,2,7,6,5,8]=>1001001=>0110110=>[2,1,2,1,2] [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,4,3,2,8,7,6,5]=>1001000=>0110111=>[2,1,2,1,1,1] [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,4,3,5,2,7,6,8]=>1000101=>0111010=>[2,1,1,2,2] [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,4,3,5,7,6,2,8]=>1000001=>0111110=>[2,1,1,1,1,2] [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,4,3,5,8,7,6,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,4,3,6,5,2,7,8]=>1000011=>0111100=>[2,1,1,1,3] [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,4,3,6,5,7,2,8]=>1000001=>0111110=>[2,1,1,1,1,2] [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,4,3,6,5,8,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,4,3,8,5,6,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,4,3,8,5,7,6,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,4,3,8,6,7,5,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,4,3,8,7,6,5,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,5,3,4,2,7,8,6]=>1000100=>0111011=>[2,1,1,2,1,1] [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,5,3,4,2,8,7,6]=>1000100=>0111011=>[2,1,1,2,1,1] [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,5,3,4,8,6,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,8,3,4,6,7,5,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,6,3,5,4,2,7,8]=>1000011=>0111100=>[2,1,1,1,3] [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,6,3,5,4,8,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,8,3,5,6,4,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,8,3,5,7,6,4,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,8,3,6,5,4,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,8,3,7,6,5,4,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,5,4,3,6,2,7,8]=>1000011=>0111100=>[2,1,1,1,3] [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,5,4,3,6,7,8,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,5,4,3,6,8,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,6,4,3,5,2,7,8]=>1000011=>0111100=>[2,1,1,1,3] [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,8,4,3,5,6,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,8,4,3,5,7,6,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,6,4,5,3,8,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,8,4,5,6,7,3,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,8,4,6,5,7,3,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,8,4,7,6,5,3,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,6,5,4,3,8,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,7,5,4,3,6,8,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,8,5,4,3,6,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,8,5,4,6,3,7,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,8,5,4,6,7,3,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,8,5,4,7,6,3,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,8,6,4,5,7,3,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,8,6,5,4,7,3,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,8,7,5,6,4,3,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,8,7,6,5,4,3,2]=>1000000=>0111111=>[2,1,1,1,1,1,1] [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[2,1,3,4,5,6,7,8]=>0111111=>1000000=>[1,7] [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[2,1,3,4,5,6,8,7]=>0111110=>1000001=>[1,6,1] [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[2,1,3,4,6,5,7,8]=>0111011=>1000100=>[1,4,3] [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[2,1,3,4,6,5,8,7]=>0111010=>1000101=>[1,4,2,1] [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[2,1,3,4,6,7,8,5]=>0111000=>1000111=>[1,4,1,1,1] [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[2,1,3,4,8,6,7,5]=>0111000=>1000111=>[1,4,1,1,1] [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[2,1,3,4,8,7,6,5]=>0111000=>1000111=>[1,4,1,1,1] [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[2,1,3,5,4,6,8,7]=>0110110=>1001001=>[1,3,3,1] [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[2,1,3,5,4,8,7,6]=>0110100=>1001011=>[1,3,2,1,1] [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[2,1,3,6,5,4,8,7]=>0110010=>1001101=>[1,3,1,2,1] [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[2,1,3,8,7,6,5,4]=>0110000=>1001111=>[1,3,1,1,1,1] [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[2,1,4,3,5,6,7,8]=>0101111=>1010000=>[1,2,5] [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[2,1,4,3,5,6,8,7]=>0101110=>1010001=>[1,2,4,1] [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[2,1,4,3,6,5,7,8]=>0101011=>1010100=>[1,2,2,3] [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[2,1,4,3,6,5,8,7]=>0101010=>1010101=>[1,2,2,2,1] [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[2,1,4,3,6,7,5,8]=>0101001=>1010110=>[1,2,2,1,2] [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[2,1,4,3,6,8,7,5]=>0101000=>1010111=>[1,2,2,1,1,1] [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[2,1,4,3,8,7,6,5]=>0101000=>1010111=>[1,2,2,1,1,1] [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[2,1,4,5,6,3,8,7]=>0100010=>1011101=>[1,2,1,1,2,1] [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[2,1,4,5,6,8,7,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[2,1,4,6,5,3,7,8]=>0100011=>1011100=>[1,2,1,1,3] [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[2,1,4,6,5,8,7,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[2,1,4,7,6,5,8,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[2,1,4,8,6,5,7,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[2,1,4,8,7,6,5,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[2,1,5,4,3,6,8,7]=>0100110=>1011001=>[1,2,1,3,1] [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[2,1,5,4,7,6,8,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[2,1,6,4,5,8,7,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[2,1,6,5,4,3,8,7]=>0100010=>1011101=>[1,2,1,1,2,1] [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[2,1,8,5,4,6,7,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[2,1,8,5,4,7,6,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[2,1,7,5,6,4,8,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[2,1,8,7,5,6,4,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[2,1,8,7,6,5,4,3]=>0100000=>1011111=>[1,2,1,1,1,1,1] [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[2,3,1,4,5,6,7,8]=>0011111=>1100000=>[1,1,6] [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[2,3,1,4,5,7,8,6]=>0011100=>1100011=>[1,1,4,1,1] [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[2,3,1,4,8,7,6,5]=>0011000=>1100111=>[1,1,3,1,1,1] [1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[2,3,1,5,4,7,6,8]=>0010101=>1101010=>[1,1,2,2,2] [1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[2,3,1,5,6,7,8,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,0,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[2,3,1,6,5,4,8,7]=>0010010=>1101101=>[1,1,2,1,2,1] [1,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[2,3,1,6,5,7,4,8]=>0010001=>1101110=>[1,1,2,1,1,2] [1,1,0,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[2,3,1,6,5,8,7,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,0,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[2,3,1,8,6,7,5,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[2,3,1,8,7,6,5,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[2,3,4,1,5,6,7,8]=>0001111=>1110000=>[1,1,1,5] [1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[2,3,4,1,6,7,8,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,0,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[2,3,4,1,8,7,6,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[2,3,4,5,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[2,3,4,5,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[2,3,4,5,6,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[2,3,4,5,6,8,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[2,3,4,6,5,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[2,3,4,6,5,8,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[2,3,4,7,6,5,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,0,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[2,3,4,7,6,5,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[2,3,4,8,7,6,5,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[2,3,5,4,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[2,3,5,4,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,0,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[2,3,5,4,8,7,6,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[2,3,6,4,5,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[2,3,7,4,5,6,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[2,3,8,4,5,6,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[2,3,7,4,6,5,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[2,3,6,5,4,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[2,3,7,5,4,6,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[2,3,7,5,6,4,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[2,3,7,5,6,4,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[2,3,7,6,5,4,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,0,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[2,3,7,6,5,4,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[2,3,8,7,6,5,4,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[2,4,3,1,5,6,7,8]=>0001111=>1110000=>[1,1,1,5] [1,1,0,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[2,4,3,1,7,6,8,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[2,4,3,1,8,7,6,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[2,4,3,5,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,0,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[2,4,3,5,1,7,6,8]=>0000101=>1111010=>[1,1,1,1,2,2] [1,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[2,4,3,5,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[2,4,3,5,6,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[2,4,3,5,6,8,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[2,4,3,5,7,6,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[2,4,3,5,8,6,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[2,4,3,6,5,7,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[2,4,3,6,5,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[2,4,3,6,5,8,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[2,4,3,7,6,5,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[2,4,3,8,7,6,5,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[2,5,3,4,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,0,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[2,5,3,4,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[2,5,3,4,6,7,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[2,5,3,4,8,7,6,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[2,6,3,4,5,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[2,6,3,5,4,1,8,7]=>0000010=>1111101=>[1,1,1,1,1,2,1] [1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[2,6,3,5,4,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[2,7,3,5,4,6,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[2,7,3,5,6,4,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[2,8,3,5,7,6,4,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[2,7,3,6,5,4,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,0,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[2,5,4,3,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[2,5,4,3,1,6,8,7]=>0000110=>1111001=>[1,1,1,1,3,1] [1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[2,5,4,3,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[2,5,4,3,6,7,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,0,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[2,5,4,3,6,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[2,5,4,3,6,8,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[2,5,4,3,7,6,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[2,5,4,3,8,6,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[2,5,4,3,8,7,6,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[2,6,4,3,5,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[2,8,4,3,5,6,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[2,8,4,3,7,6,5,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[2,6,4,5,3,1,7,8]=>0000011=>1111100=>[1,1,1,1,1,3] [1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[2,6,4,5,3,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[2,6,5,4,3,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[2,7,5,4,3,6,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[2,7,5,4,6,3,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[2,8,5,4,7,6,3,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[2,8,7,5,4,6,3,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[2,8,7,5,6,4,3,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[2,8,7,6,5,4,3,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>[3,2,1,4,5,6,7,8]=>0011111=>1100000=>[1,1,6] [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>[3,2,1,4,5,7,8,6]=>0011100=>1100011=>[1,1,4,1,1] [1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0]=>[3,2,1,4,5,8,7,6]=>0011100=>1100011=>[1,1,4,1,1] [1,1,1,0,0,0,1,0,1,1,0,1,1,0,0,0]=>[3,2,1,4,6,8,7,5]=>0011000=>1100111=>[1,1,3,1,1,1] [1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,0]=>[3,2,1,4,7,6,5,8]=>0011001=>1100110=>[1,1,3,1,2] [1,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0]=>[3,2,1,4,8,6,7,5]=>0011000=>1100111=>[1,1,3,1,1,1] [1,1,1,0,0,0,1,0,1,1,1,1,0,0,0,0]=>[3,2,1,4,8,7,6,5]=>0011000=>1100111=>[1,1,3,1,1,1] [1,1,1,0,0,0,1,1,0,0,1,1,0,0,1,0]=>[3,2,1,5,4,7,6,8]=>0010101=>1101010=>[1,1,2,2,2] [1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0]=>[3,2,1,5,6,4,7,8]=>0010011=>1101100=>[1,1,2,1,3] [1,1,1,0,0,0,1,1,0,1,0,1,0,1,0,0]=>[3,2,1,5,6,7,8,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0]=>[3,2,1,5,6,8,7,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,0,1,1,0,0,0,1,0]=>[3,2,1,5,7,6,4,8]=>0010001=>1101110=>[1,1,2,1,1,2] [1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,0]=>[3,2,1,5,7,6,8,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>[3,2,1,5,8,6,7,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,0,1,1,1,0,0,0,0]=>[3,2,1,5,8,7,6,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,1,0,0,1,0,0,1,0]=>[3,2,1,6,5,7,4,8]=>0010001=>1101110=>[1,1,2,1,1,2] [1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0]=>[3,2,1,6,5,7,8,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,1,0,0,1,1,0,0,0]=>[3,2,1,6,5,8,7,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0]=>[3,2,1,7,5,6,4,8]=>0010001=>1101110=>[1,1,2,1,1,2] [1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>[3,2,1,7,5,6,8,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,0]=>[3,2,1,8,5,6,7,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,1,0,1,1,0,0,0,0]=>[3,2,1,8,5,7,6,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,0]=>[3,2,1,7,6,5,8,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0]=>[3,2,1,8,6,5,7,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,1,1,0,1,0,0,0,0]=>[3,2,1,8,6,7,5,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0]=>[3,2,1,8,7,6,5,4]=>0010000=>1101111=>[1,1,2,1,1,1,1] [1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0]=>[3,2,4,1,5,6,7,8]=>0001111=>1110000=>[1,1,1,5] [1,1,1,0,0,1,0,0,1,0,1,1,1,0,0,0]=>[3,2,4,1,5,8,7,6]=>0001100=>1110011=>[1,1,1,3,1,1] [1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0]=>[3,2,4,1,6,5,7,8]=>0001011=>1110100=>[1,1,1,2,3] [1,1,1,0,0,1,0,0,1,1,0,0,1,1,0,0]=>[3,2,4,1,6,5,8,7]=>0001010=>1110101=>[1,1,1,2,2,1] [1,1,1,0,0,1,0,0,1,1,0,1,1,0,0,0]=>[3,2,4,1,6,8,7,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,1,0,0,1,0,0,1,1,1,0,1,0,0,0]=>[3,2,4,1,8,6,7,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0]=>[3,2,4,1,8,7,6,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0]=>[3,2,4,5,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,1,0,0,1,0,1,0,0,1,1,1,0,0,0]=>[3,2,4,5,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0]=>[3,2,4,7,6,5,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0]=>[3,2,4,8,7,6,5,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,0,1,1,0,0,0,1,0,1,0,1,0]=>[3,2,5,4,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,1,0,0,1,1,0,0,0,1,0,1,1,0,0]=>[3,2,5,4,1,6,8,7]=>0000110=>1111001=>[1,1,1,1,3,1] [1,1,1,0,0,1,1,0,0,0,1,1,0,0,1,0]=>[3,2,5,4,1,7,6,8]=>0000101=>1111010=>[1,1,1,1,2,2] [1,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0]=>[3,2,5,4,1,7,8,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,0,0,1,1,0,0,0,1,1,1,0,0,0]=>[3,2,5,4,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,0,0,1,1,0,0,1,1,0,0,0,1,0]=>[3,2,5,4,7,6,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0]=>[3,2,7,4,6,5,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0]=>[3,2,7,4,6,5,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,0,1,1,1,0,0,0,1,0,0,1,0]=>[3,2,6,5,4,7,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,0,1,1,1,0,0,1,0,1,0,0,0]=>[3,2,8,5,4,6,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0]=>[3,2,7,5,6,4,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,0,1,1,1,0,1,1,0,0,0,0,0]=>[3,2,8,5,7,6,4,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0]=>[3,2,7,6,5,4,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,0,1,1,1,1,1,0,0,0,0,0,0]=>[3,2,8,7,6,5,4,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0]=>[4,2,3,1,5,6,7,8]=>0001111=>1110000=>[1,1,1,5] [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>[4,2,3,1,8,6,7,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>[4,2,3,1,8,7,6,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0]=>[4,2,3,5,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>[4,2,3,5,1,7,8,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0]=>[4,2,3,5,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0]=>[4,2,3,5,6,8,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>[4,2,3,7,5,6,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0]=>[4,2,3,8,5,6,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0]=>[4,2,3,7,6,5,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0]=>[4,2,3,8,7,6,5,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>[5,2,3,4,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,1,0,1,0,1,0,0,0,1,1,1,0,0,0]=>[5,2,3,4,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0]=>[5,2,3,4,8,7,6,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0]=>[6,2,3,4,5,7,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0]=>[6,2,3,5,4,1,7,8]=>0000011=>1111100=>[1,1,1,1,1,3] [1,1,1,0,1,0,1,1,0,0,0,0,1,1,0,0]=>[6,2,3,5,4,1,8,7]=>0000010=>1111101=>[1,1,1,1,1,2,1] [1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0]=>[6,2,3,5,4,7,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,1,0,1,1,0,1,0,0,0,0,1,0]=>[7,2,3,5,6,4,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,1,0,1,1,1,0,0,0,0,0,1,0]=>[7,2,3,6,5,4,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0]=>[5,2,4,3,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0]=>[5,2,4,3,1,6,8,7]=>0000110=>1111001=>[1,1,1,1,3,1] [1,1,1,0,1,1,0,0,0,0,1,1,0,0,1,0]=>[5,2,4,3,1,7,6,8]=>0000101=>1111010=>[1,1,1,1,2,2] [1,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0]=>[5,2,4,3,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0]=>[5,2,4,3,6,1,7,8]=>0000011=>1111100=>[1,1,1,1,1,3] [1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0]=>[5,2,4,3,6,1,8,7]=>0000010=>1111101=>[1,1,1,1,1,2,1] [1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0]=>[5,2,4,3,7,6,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0]=>[5,2,4,3,7,6,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0]=>[7,2,4,3,6,5,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,1,1,0,0,1,1,0,0,0,1,0,0]=>[7,2,4,3,6,5,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0]=>[6,2,4,5,3,1,7,8]=>0000011=>1111100=>[1,1,1,1,1,3] [1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0]=>[7,2,4,5,3,6,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,1,1,0,1,0,0,1,0,0,1,0,0]=>[7,2,4,5,3,6,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,0]=>[8,2,4,7,6,5,3,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>[6,2,5,4,3,1,8,7]=>0000010=>1111101=>[1,1,1,1,1,2,1] [1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0]=>[7,2,5,4,3,6,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>[8,2,6,4,5,7,3,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>[8,2,7,5,6,4,3,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>[8,2,7,6,5,4,3,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0]=>[4,3,2,1,5,6,7,8]=>0001111=>1110000=>[1,1,1,5] [1,1,1,1,0,0,0,0,1,0,1,0,1,1,0,0]=>[4,3,2,1,5,6,8,7]=>0001110=>1110001=>[1,1,1,4,1] [1,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0]=>[4,3,2,1,5,7,6,8]=>0001101=>1110010=>[1,1,1,3,2] [1,1,1,1,0,0,0,0,1,0,1,1,0,1,0,0]=>[4,3,2,1,5,7,8,6]=>0001100=>1110011=>[1,1,1,3,1,1] [1,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0]=>[4,3,2,1,5,8,7,6]=>0001100=>1110011=>[1,1,1,3,1,1] [1,1,1,1,0,0,0,0,1,1,0,0,1,0,1,0]=>[4,3,2,1,6,5,7,8]=>0001011=>1110100=>[1,1,1,2,3] [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>[4,3,2,1,6,5,8,7]=>0001010=>1110101=>[1,1,1,2,2,1] [1,1,1,1,0,0,0,0,1,1,0,1,0,0,1,0]=>[4,3,2,1,6,7,5,8]=>0001001=>1110110=>[1,1,1,2,1,2] [1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0]=>[4,3,2,1,6,7,8,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0]=>[4,3,2,1,6,8,7,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,0]=>[4,3,2,1,7,6,5,8]=>0001001=>1110110=>[1,1,1,2,1,2] [1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,0]=>[4,3,2,1,7,6,8,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>[4,3,2,1,8,6,7,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>[4,3,2,1,8,7,6,5]=>0001000=>1110111=>[1,1,1,2,1,1,1] [1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0]=>[4,3,2,5,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,1,1,0,0,0,1,0,0,1,1,1,0,0,0]=>[4,3,2,5,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0]=>[4,3,2,5,6,8,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0]=>[4,3,2,5,8,7,6,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,1,0,0,0,1,0,1,0]=>[4,3,2,6,5,1,7,8]=>0000011=>1111100=>[1,1,1,1,1,3] [1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,0]=>[4,3,2,6,5,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0]=>[4,3,2,6,5,8,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,0]=>[4,3,2,7,5,6,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,1,0,1,0,1,0,0,0]=>[4,3,2,8,5,6,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,0]=>[4,3,2,7,6,5,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0]=>[4,3,2,8,6,7,5,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,0,1,1,1,1,0,0,0,0,0]=>[4,3,2,8,7,6,5,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0]=>[5,3,2,4,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,1,1,0,0,1,0,0,0,1,0,1,1,0,0]=>[5,3,2,4,1,6,8,7]=>0000110=>1111001=>[1,1,1,1,3,1] [1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,0]=>[5,3,2,4,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0]=>[5,3,2,4,6,1,7,8]=>0000011=>1111100=>[1,1,1,1,1,3] [1,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0]=>[5,3,2,4,6,1,8,7]=>0000010=>1111101=>[1,1,1,1,1,2,1] [1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0]=>[6,3,2,4,5,7,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,0,0,1,1,0,0,0,0,1,0,1,0]=>[6,3,2,5,4,1,7,8]=>0000011=>1111100=>[1,1,1,1,1,3] [1,1,1,1,0,0,1,1,0,0,0,0,1,1,0,0]=>[6,3,2,5,4,1,8,7]=>0000010=>1111101=>[1,1,1,1,1,2,1] [1,1,1,1,0,0,1,1,0,0,0,1,0,0,1,0]=>[6,3,2,5,4,7,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0]=>[8,3,2,5,4,7,6,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,1,1,0,1,0,0,1,0,0,0]=>[8,3,2,5,6,4,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,0,1,1,1,1,0,0,0,0,0,0]=>[8,3,2,7,6,5,4,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0]=>[5,3,4,2,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>[5,3,4,2,1,7,8,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,1,0,1,0,0,0,0,1,1,1,0,0,0]=>[5,3,4,2,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,1,0,1,0,0,0,1,1,0,0,0,1,0]=>[5,3,4,2,7,6,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,0,1,0,0,1,1,0,0,0,0,1,0]=>[7,3,4,2,6,5,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,0,1,0,0,1,1,0,0,0,1,0,0]=>[7,3,4,2,6,5,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,0,1,0,1,0,0,0,1,0,0,1,0]=>[6,3,4,5,2,7,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,0,1,0,1,0,1,0,0,0,0,1,0]=>[7,3,4,5,6,2,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>[7,3,4,6,5,2,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,0]=>[6,3,5,4,2,7,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,0,1,1,0,0,1,0,0,0,0,1,0]=>[7,3,5,4,6,2,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>[7,3,6,4,5,2,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>[7,3,6,5,4,2,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0]=>[5,4,3,2,1,6,7,8]=>0000111=>1111000=>[1,1,1,1,4] [1,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0]=>[5,4,3,2,1,6,8,7]=>0000110=>1111001=>[1,1,1,1,3,1] [1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0]=>[5,4,3,2,1,7,6,8]=>0000101=>1111010=>[1,1,1,1,2,2] [1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0]=>[5,4,3,2,1,7,8,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0]=>[5,4,3,2,1,8,7,6]=>0000100=>1111011=>[1,1,1,1,2,1,1] [1,1,1,1,1,0,0,0,0,1,0,0,1,0,1,0]=>[5,4,3,2,6,1,7,8]=>0000011=>1111100=>[1,1,1,1,1,3] [1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,0]=>[5,4,3,2,6,1,8,7]=>0000010=>1111101=>[1,1,1,1,1,2,1] [1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0]=>[5,4,3,2,6,7,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0]=>[5,4,3,2,6,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,0,1,1,0,0,0]=>[5,4,3,2,6,8,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,0,0,1,0]=>[5,4,3,2,7,6,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,1,0,0,0,0,1,1,0,0,1,0,0]=>[5,4,3,2,7,6,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0]=>[5,4,3,2,8,6,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0]=>[5,4,3,2,8,7,6,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0]=>[6,4,3,2,5,1,7,8]=>0000011=>1111100=>[1,1,1,1,1,3] [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>[6,4,3,5,2,1,8,7]=>0000010=>1111101=>[1,1,1,1,1,2,1] [1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0]=>[7,4,3,5,2,6,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>[7,4,3,6,5,2,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,1,0,0,1,1,0,0,0,0,1,0,0]=>[7,4,3,6,5,2,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>[6,5,3,4,2,1,8,7]=>0000010=>1111101=>[1,1,1,1,1,2,1] [1,1,1,1,1,0,1,0,0,1,1,0,0,0,0,0]=>[8,5,3,4,7,6,2,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>[7,6,3,4,5,2,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>[8,7,3,6,5,4,2,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>[6,5,4,3,2,1,8,7]=>0000010=>1111101=>[1,1,1,1,1,2,1] [1,1,1,1,1,1,0,0,0,0,0,1,0,1,0,0]=>[6,5,4,3,2,7,8,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0]=>[6,5,4,3,2,8,7,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,0,0,1,1,0,0,0,0]=>[8,5,4,3,2,7,6,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>[8,7,4,3,6,5,2,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>[7,6,4,5,3,2,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>[7,6,5,4,3,2,1,8]=>0000001=>1111110=>[1,1,1,1,1,1,2] [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>[8,7,5,4,3,6,2,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>[8,7,6,5,4,3,2,1]=>0000000=>1111111=>[1,1,1,1,1,1,1,1] [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]=>111110000=>000001111=>[6,1,1,1,1]