Identifier
Mp00114: Permutations connectivity setBinary words
Mp00104: Binary words reverseBinary words
Images
=>
[1]=>=> [1,2]=>1=>1 [2,1]=>0=>0 [1,2,3]=>11=>11 [1,3,2]=>10=>01 [2,1,3]=>01=>10 [2,3,1]=>00=>00 [3,1,2]=>00=>00 [3,2,1]=>00=>00 [1,2,3,4]=>111=>111 [1,2,4,3]=>110=>011 [1,3,2,4]=>101=>101 [1,3,4,2]=>100=>001 [1,4,2,3]=>100=>001 [1,4,3,2]=>100=>001 [2,1,3,4]=>011=>110 [2,1,4,3]=>010=>010 [2,3,1,4]=>001=>100 [2,3,4,1]=>000=>000 [2,4,1,3]=>000=>000 [2,4,3,1]=>000=>000 [3,1,2,4]=>001=>100 [3,1,4,2]=>000=>000 [3,2,1,4]=>001=>100 [3,2,4,1]=>000=>000 [3,4,1,2]=>000=>000 [3,4,2,1]=>000=>000 [4,1,2,3]=>000=>000 [4,1,3,2]=>000=>000 [4,2,1,3]=>000=>000 [4,2,3,1]=>000=>000 [4,3,1,2]=>000=>000 [4,3,2,1]=>000=>000 [1,2,3,4,5]=>1111=>1111 [1,2,3,5,4]=>1110=>0111 [1,2,4,3,5]=>1101=>1011 [1,2,4,5,3]=>1100=>0011 [1,2,5,3,4]=>1100=>0011 [1,2,5,4,3]=>1100=>0011 [1,3,2,4,5]=>1011=>1101 [1,3,2,5,4]=>1010=>0101 [1,3,4,2,5]=>1001=>1001 [1,3,4,5,2]=>1000=>0001 [1,3,5,2,4]=>1000=>0001 [1,3,5,4,2]=>1000=>0001 [1,4,2,3,5]=>1001=>1001 [1,4,2,5,3]=>1000=>0001 [1,4,3,2,5]=>1001=>1001 [1,4,3,5,2]=>1000=>0001 [1,4,5,2,3]=>1000=>0001 [1,4,5,3,2]=>1000=>0001 [1,5,2,3,4]=>1000=>0001 [1,5,2,4,3]=>1000=>0001 [1,5,3,2,4]=>1000=>0001 [1,5,3,4,2]=>1000=>0001 [1,5,4,2,3]=>1000=>0001 [1,5,4,3,2]=>1000=>0001 [2,1,3,4,5]=>0111=>1110 [2,1,3,5,4]=>0110=>0110 [2,1,4,3,5]=>0101=>1010 [2,1,4,5,3]=>0100=>0010 [2,1,5,3,4]=>0100=>0010 [2,1,5,4,3]=>0100=>0010 [2,3,1,4,5]=>0011=>1100 [2,3,1,5,4]=>0010=>0100 [2,3,4,1,5]=>0001=>1000 [2,3,4,5,1]=>0000=>0000 [2,3,5,1,4]=>0000=>0000 [2,3,5,4,1]=>0000=>0000 [2,4,1,3,5]=>0001=>1000 [2,4,1,5,3]=>0000=>0000 [2,4,3,1,5]=>0001=>1000 [2,4,3,5,1]=>0000=>0000 [2,4,5,1,3]=>0000=>0000 [2,4,5,3,1]=>0000=>0000 [2,5,1,3,4]=>0000=>0000 [2,5,1,4,3]=>0000=>0000 [2,5,3,1,4]=>0000=>0000 [2,5,3,4,1]=>0000=>0000 [2,5,4,1,3]=>0000=>0000 [2,5,4,3,1]=>0000=>0000 [3,1,2,4,5]=>0011=>1100 [3,1,2,5,4]=>0010=>0100 [3,1,4,2,5]=>0001=>1000 [3,1,4,5,2]=>0000=>0000 [3,1,5,2,4]=>0000=>0000 [3,1,5,4,2]=>0000=>0000 [3,2,1,4,5]=>0011=>1100 [3,2,1,5,4]=>0010=>0100 [3,2,4,1,5]=>0001=>1000 [3,2,4,5,1]=>0000=>0000 [3,2,5,1,4]=>0000=>0000 [3,2,5,4,1]=>0000=>0000 [3,4,1,2,5]=>0001=>1000 [3,4,1,5,2]=>0000=>0000 [3,4,2,1,5]=>0001=>1000 [3,4,2,5,1]=>0000=>0000 [3,4,5,1,2]=>0000=>0000 [3,4,5,2,1]=>0000=>0000 [3,5,1,2,4]=>0000=>0000 [3,5,1,4,2]=>0000=>0000 [3,5,2,1,4]=>0000=>0000 [3,5,2,4,1]=>0000=>0000 [3,5,4,1,2]=>0000=>0000 [3,5,4,2,1]=>0000=>0000 [4,1,2,3,5]=>0001=>1000 [4,1,2,5,3]=>0000=>0000 [4,1,3,2,5]=>0001=>1000 [4,1,3,5,2]=>0000=>0000 [4,1,5,2,3]=>0000=>0000 [4,1,5,3,2]=>0000=>0000 [4,2,1,3,5]=>0001=>1000 [4,2,1,5,3]=>0000=>0000 [4,2,3,1,5]=>0001=>1000 [4,2,3,5,1]=>0000=>0000 [4,2,5,1,3]=>0000=>0000 [4,2,5,3,1]=>0000=>0000 [4,3,1,2,5]=>0001=>1000 [4,3,1,5,2]=>0000=>0000 [4,3,2,1,5]=>0001=>1000 [4,3,2,5,1]=>0000=>0000 [4,3,5,1,2]=>0000=>0000 [4,3,5,2,1]=>0000=>0000 [4,5,1,2,3]=>0000=>0000 [4,5,1,3,2]=>0000=>0000 [4,5,2,1,3]=>0000=>0000 [4,5,2,3,1]=>0000=>0000 [4,5,3,1,2]=>0000=>0000 [4,5,3,2,1]=>0000=>0000 [5,1,2,3,4]=>0000=>0000 [5,1,2,4,3]=>0000=>0000 [5,1,3,2,4]=>0000=>0000 [5,1,3,4,2]=>0000=>0000 [5,1,4,2,3]=>0000=>0000 [5,1,4,3,2]=>0000=>0000 [5,2,1,3,4]=>0000=>0000 [5,2,1,4,3]=>0000=>0000 [5,2,3,1,4]=>0000=>0000 [5,2,3,4,1]=>0000=>0000 [5,2,4,1,3]=>0000=>0000 [5,2,4,3,1]=>0000=>0000 [5,3,1,2,4]=>0000=>0000 [5,3,1,4,2]=>0000=>0000 [5,3,2,1,4]=>0000=>0000 [5,3,2,4,1]=>0000=>0000 [5,3,4,1,2]=>0000=>0000 [5,3,4,2,1]=>0000=>0000 [5,4,1,2,3]=>0000=>0000 [5,4,1,3,2]=>0000=>0000 [5,4,2,1,3]=>0000=>0000 [5,4,2,3,1]=>0000=>0000 [5,4,3,1,2]=>0000=>0000 [5,4,3,2,1]=>0000=>0000 [1,2,3,4,5,6]=>11111=>11111 [1,2,3,4,6,5]=>11110=>01111 [1,2,3,5,4,6]=>11101=>10111 [1,2,3,5,6,4]=>11100=>00111 [1,2,3,6,4,5]=>11100=>00111 [1,2,3,6,5,4]=>11100=>00111 [1,2,4,3,5,6]=>11011=>11011 [1,2,4,3,6,5]=>11010=>01011 [1,2,4,5,3,6]=>11001=>10011 [1,2,4,5,6,3]=>11000=>00011 [1,2,4,6,3,5]=>11000=>00011 [1,2,4,6,5,3]=>11000=>00011 [1,2,5,3,4,6]=>11001=>10011 [1,2,5,3,6,4]=>11000=>00011 [1,2,5,4,3,6]=>11001=>10011 [1,2,5,4,6,3]=>11000=>00011 [1,2,5,6,3,4]=>11000=>00011 [1,2,5,6,4,3]=>11000=>00011 [1,2,6,3,4,5]=>11000=>00011 [1,2,6,3,5,4]=>11000=>00011 [1,2,6,4,3,5]=>11000=>00011 [1,2,6,4,5,3]=>11000=>00011 [1,2,6,5,3,4]=>11000=>00011 [1,2,6,5,4,3]=>11000=>00011 [1,3,2,4,5,6]=>10111=>11101 [1,3,2,4,6,5]=>10110=>01101 [1,3,2,5,4,6]=>10101=>10101 [1,3,2,5,6,4]=>10100=>00101 [1,3,2,6,4,5]=>10100=>00101 [1,3,2,6,5,4]=>10100=>00101 [1,3,4,2,5,6]=>10011=>11001 [1,3,4,2,6,5]=>10010=>01001 [1,3,4,5,2,6]=>10001=>10001 [1,3,4,5,6,2]=>10000=>00001 [1,3,4,6,2,5]=>10000=>00001 [1,3,4,6,5,2]=>10000=>00001 [1,3,5,2,4,6]=>10001=>10001 [1,3,5,2,6,4]=>10000=>00001 [1,3,5,4,2,6]=>10001=>10001 [1,3,5,4,6,2]=>10000=>00001 [1,3,5,6,2,4]=>10000=>00001 [1,3,5,6,4,2]=>10000=>00001 [1,3,6,2,4,5]=>10000=>00001 [1,3,6,2,5,4]=>10000=>00001 [1,3,6,4,2,5]=>10000=>00001 [1,3,6,4,5,2]=>10000=>00001 [1,3,6,5,2,4]=>10000=>00001 [1,3,6,5,4,2]=>10000=>00001 [1,4,2,3,5,6]=>10011=>11001 [1,4,2,3,6,5]=>10010=>01001 [1,4,2,5,3,6]=>10001=>10001 [1,4,2,5,6,3]=>10000=>00001 [1,4,2,6,3,5]=>10000=>00001 [1,4,2,6,5,3]=>10000=>00001 [1,4,3,2,5,6]=>10011=>11001 [1,4,3,2,6,5]=>10010=>01001 [1,4,3,5,2,6]=>10001=>10001 [1,4,3,5,6,2]=>10000=>00001 [1,4,3,6,2,5]=>10000=>00001 [1,4,3,6,5,2]=>10000=>00001 [1,4,5,2,3,6]=>10001=>10001 [1,4,5,2,6,3]=>10000=>00001 [1,4,5,3,2,6]=>10001=>10001 [1,4,5,3,6,2]=>10000=>00001 [1,4,5,6,2,3]=>10000=>00001 [1,4,5,6,3,2]=>10000=>00001 [1,4,6,2,3,5]=>10000=>00001 [1,4,6,2,5,3]=>10000=>00001 [1,4,6,3,2,5]=>10000=>00001 [1,4,6,3,5,2]=>10000=>00001 [1,4,6,5,2,3]=>10000=>00001 [1,4,6,5,3,2]=>10000=>00001 [1,5,2,3,4,6]=>10001=>10001 [1,5,2,3,6,4]=>10000=>00001 [1,5,2,4,3,6]=>10001=>10001 [1,5,2,4,6,3]=>10000=>00001 [1,5,2,6,3,4]=>10000=>00001 [1,5,2,6,4,3]=>10000=>00001 [1,5,3,2,4,6]=>10001=>10001 [1,5,3,2,6,4]=>10000=>00001 [1,5,3,4,2,6]=>10001=>10001 [1,5,3,4,6,2]=>10000=>00001 [1,5,3,6,2,4]=>10000=>00001 [1,5,3,6,4,2]=>10000=>00001 [1,5,4,2,3,6]=>10001=>10001 [1,5,4,2,6,3]=>10000=>00001 [1,5,4,3,2,6]=>10001=>10001 [1,5,4,3,6,2]=>10000=>00001 [1,5,4,6,2,3]=>10000=>00001 [1,5,4,6,3,2]=>10000=>00001 [1,5,6,2,3,4]=>10000=>00001 [1,5,6,2,4,3]=>10000=>00001 [1,5,6,3,2,4]=>10000=>00001 [1,5,6,3,4,2]=>10000=>00001 [1,5,6,4,2,3]=>10000=>00001 [1,5,6,4,3,2]=>10000=>00001 [1,6,2,3,4,5]=>10000=>00001 [1,6,2,3,5,4]=>10000=>00001 [1,6,2,4,3,5]=>10000=>00001 [1,6,2,4,5,3]=>10000=>00001 [1,6,2,5,3,4]=>10000=>00001 [1,6,2,5,4,3]=>10000=>00001 [1,6,3,2,4,5]=>10000=>00001 [1,6,3,2,5,4]=>10000=>00001 [1,6,3,4,2,5]=>10000=>00001 [1,6,3,4,5,2]=>10000=>00001 [1,6,3,5,2,4]=>10000=>00001 [1,6,3,5,4,2]=>10000=>00001 [1,6,4,2,3,5]=>10000=>00001 [1,6,4,2,5,3]=>10000=>00001 [1,6,4,3,2,5]=>10000=>00001 [1,6,4,3,5,2]=>10000=>00001 [1,6,4,5,2,3]=>10000=>00001 [1,6,4,5,3,2]=>10000=>00001 [1,6,5,2,3,4]=>10000=>00001 [1,6,5,2,4,3]=>10000=>00001 [1,6,5,3,2,4]=>10000=>00001 [1,6,5,3,4,2]=>10000=>00001 [1,6,5,4,2,3]=>10000=>00001 [1,6,5,4,3,2]=>10000=>00001 [2,1,3,4,5,6]=>01111=>11110 [2,1,3,4,6,5]=>01110=>01110 [2,1,3,5,4,6]=>01101=>10110 [2,1,3,5,6,4]=>01100=>00110 [2,1,3,6,4,5]=>01100=>00110 [2,1,3,6,5,4]=>01100=>00110 [2,1,4,3,5,6]=>01011=>11010 [2,1,4,3,6,5]=>01010=>01010 [2,1,4,5,3,6]=>01001=>10010 [2,1,4,5,6,3]=>01000=>00010 [2,1,4,6,3,5]=>01000=>00010 [2,1,4,6,5,3]=>01000=>00010 [2,1,5,3,4,6]=>01001=>10010 [2,1,5,3,6,4]=>01000=>00010 [2,1,5,4,3,6]=>01001=>10010 [2,1,5,4,6,3]=>01000=>00010 [2,1,5,6,3,4]=>01000=>00010 [2,1,5,6,4,3]=>01000=>00010 [2,1,6,3,4,5]=>01000=>00010 [2,1,6,3,5,4]=>01000=>00010 [2,1,6,4,3,5]=>01000=>00010 [2,1,6,4,5,3]=>01000=>00010 [2,1,6,5,3,4]=>01000=>00010 [2,1,6,5,4,3]=>01000=>00010 [2,3,1,4,5,6]=>00111=>11100 [2,3,1,4,6,5]=>00110=>01100 [2,3,1,5,4,6]=>00101=>10100 [2,3,1,5,6,4]=>00100=>00100 [2,3,1,6,4,5]=>00100=>00100 [2,3,1,6,5,4]=>00100=>00100 [2,3,4,1,5,6]=>00011=>11000 [2,3,4,1,6,5]=>00010=>01000 [2,3,4,5,1,6]=>00001=>10000 [2,3,4,5,6,1]=>00000=>00000 [2,3,4,6,1,5]=>00000=>00000 [2,3,4,6,5,1]=>00000=>00000 [2,3,5,1,4,6]=>00001=>10000 [2,3,5,1,6,4]=>00000=>00000 [2,3,5,4,1,6]=>00001=>10000 [2,3,5,4,6,1]=>00000=>00000 [2,3,5,6,1,4]=>00000=>00000 [2,3,5,6,4,1]=>00000=>00000 [2,3,6,1,4,5]=>00000=>00000 [2,3,6,1,5,4]=>00000=>00000 [2,3,6,4,1,5]=>00000=>00000 [2,3,6,4,5,1]=>00000=>00000 [2,3,6,5,1,4]=>00000=>00000 [2,3,6,5,4,1]=>00000=>00000 [2,4,1,3,5,6]=>00011=>11000 [2,4,1,3,6,5]=>00010=>01000 [2,4,1,5,3,6]=>00001=>10000 [2,4,1,5,6,3]=>00000=>00000 [2,4,1,6,3,5]=>00000=>00000 [2,4,1,6,5,3]=>00000=>00000 [2,4,3,1,5,6]=>00011=>11000 [2,4,3,1,6,5]=>00010=>01000 [2,4,3,5,1,6]=>00001=>10000 [2,4,3,5,6,1]=>00000=>00000 [2,4,3,6,1,5]=>00000=>00000 [2,4,3,6,5,1]=>00000=>00000 [2,4,5,1,3,6]=>00001=>10000 [2,4,5,1,6,3]=>00000=>00000 [2,4,5,3,1,6]=>00001=>10000 [2,4,5,3,6,1]=>00000=>00000 [2,4,5,6,1,3]=>00000=>00000 [2,4,5,6,3,1]=>00000=>00000 [2,4,6,1,3,5]=>00000=>00000 [2,4,6,1,5,3]=>00000=>00000 [2,4,6,3,1,5]=>00000=>00000 [2,4,6,3,5,1]=>00000=>00000 [2,4,6,5,1,3]=>00000=>00000 [2,4,6,5,3,1]=>00000=>00000 [2,5,1,3,4,6]=>00001=>10000 [2,5,1,3,6,4]=>00000=>00000 [2,5,1,4,3,6]=>00001=>10000 [2,5,1,4,6,3]=>00000=>00000 [2,5,1,6,3,4]=>00000=>00000 [2,5,1,6,4,3]=>00000=>00000 [2,5,3,1,4,6]=>00001=>10000 [2,5,3,1,6,4]=>00000=>00000 [2,5,3,4,1,6]=>00001=>10000 [2,5,3,4,6,1]=>00000=>00000 [2,5,3,6,1,4]=>00000=>00000 [2,5,3,6,4,1]=>00000=>00000 [2,5,4,1,3,6]=>00001=>10000 [2,5,4,1,6,3]=>00000=>00000 [2,5,4,3,1,6]=>00001=>10000 [2,5,4,3,6,1]=>00000=>00000 [2,5,4,6,1,3]=>00000=>00000 [2,5,4,6,3,1]=>00000=>00000 [2,5,6,1,3,4]=>00000=>00000 [2,5,6,1,4,3]=>00000=>00000 [2,5,6,3,1,4]=>00000=>00000 [2,5,6,3,4,1]=>00000=>00000 [2,5,6,4,1,3]=>00000=>00000 [2,5,6,4,3,1]=>00000=>00000 [2,6,1,3,4,5]=>00000=>00000 [2,6,1,3,5,4]=>00000=>00000 [2,6,1,4,3,5]=>00000=>00000 [2,6,1,4,5,3]=>00000=>00000 [2,6,1,5,3,4]=>00000=>00000 [2,6,1,5,4,3]=>00000=>00000 [2,6,3,1,4,5]=>00000=>00000 [2,6,3,1,5,4]=>00000=>00000 [2,6,3,4,1,5]=>00000=>00000 [2,6,3,4,5,1]=>00000=>00000 [2,6,3,5,1,4]=>00000=>00000 [2,6,3,5,4,1]=>00000=>00000 [2,6,4,1,3,5]=>00000=>00000 [2,6,4,1,5,3]=>00000=>00000 [2,6,4,3,1,5]=>00000=>00000 [2,6,4,3,5,1]=>00000=>00000 [2,6,4,5,1,3]=>00000=>00000 [2,6,4,5,3,1]=>00000=>00000 [2,6,5,1,3,4]=>00000=>00000 [2,6,5,1,4,3]=>00000=>00000 [2,6,5,3,1,4]=>00000=>00000 [2,6,5,3,4,1]=>00000=>00000 [2,6,5,4,1,3]=>00000=>00000 [2,6,5,4,3,1]=>00000=>00000 [3,1,2,4,5,6]=>00111=>11100 [3,1,2,4,6,5]=>00110=>01100 [3,1,2,5,4,6]=>00101=>10100 [3,1,2,5,6,4]=>00100=>00100 [3,1,2,6,4,5]=>00100=>00100 [3,1,2,6,5,4]=>00100=>00100 [3,1,4,2,5,6]=>00011=>11000 [3,1,4,2,6,5]=>00010=>01000 [3,1,4,5,2,6]=>00001=>10000 [3,1,4,5,6,2]=>00000=>00000 [3,1,4,6,2,5]=>00000=>00000 [3,1,4,6,5,2]=>00000=>00000 [3,1,5,2,4,6]=>00001=>10000 [3,1,5,2,6,4]=>00000=>00000 [3,1,5,4,2,6]=>00001=>10000 [3,1,5,4,6,2]=>00000=>00000 [3,1,5,6,2,4]=>00000=>00000 [3,1,5,6,4,2]=>00000=>00000 [3,1,6,2,4,5]=>00000=>00000 [3,1,6,2,5,4]=>00000=>00000 [3,1,6,4,2,5]=>00000=>00000 [3,1,6,4,5,2]=>00000=>00000 [3,1,6,5,2,4]=>00000=>00000 [3,1,6,5,4,2]=>00000=>00000 [3,2,1,4,5,6]=>00111=>11100 [3,2,1,4,6,5]=>00110=>01100 [3,2,1,5,4,6]=>00101=>10100 [3,2,1,5,6,4]=>00100=>00100 [3,2,1,6,4,5]=>00100=>00100 [3,2,1,6,5,4]=>00100=>00100 [3,2,4,1,5,6]=>00011=>11000 [3,2,4,1,6,5]=>00010=>01000 [3,2,4,5,1,6]=>00001=>10000 [3,2,4,5,6,1]=>00000=>00000 [3,2,4,6,1,5]=>00000=>00000 [3,2,4,6,5,1]=>00000=>00000 [3,2,5,1,4,6]=>00001=>10000 [3,2,5,1,6,4]=>00000=>00000 [3,2,5,4,1,6]=>00001=>10000 [3,2,5,4,6,1]=>00000=>00000 [3,2,5,6,1,4]=>00000=>00000 [3,2,5,6,4,1]=>00000=>00000 [3,2,6,1,4,5]=>00000=>00000 [3,2,6,1,5,4]=>00000=>00000 [3,2,6,4,1,5]=>00000=>00000 [3,2,6,4,5,1]=>00000=>00000 [3,2,6,5,1,4]=>00000=>00000 [3,2,6,5,4,1]=>00000=>00000 [3,4,1,2,5,6]=>00011=>11000 [3,4,1,2,6,5]=>00010=>01000 [3,4,1,5,2,6]=>00001=>10000 [3,4,1,5,6,2]=>00000=>00000 [3,4,1,6,2,5]=>00000=>00000 [3,4,1,6,5,2]=>00000=>00000 [3,4,2,1,5,6]=>00011=>11000 [3,4,2,1,6,5]=>00010=>01000 [3,4,2,5,1,6]=>00001=>10000 [3,4,2,5,6,1]=>00000=>00000 [3,4,2,6,1,5]=>00000=>00000 [3,4,2,6,5,1]=>00000=>00000 [3,4,5,1,2,6]=>00001=>10000 [3,4,5,1,6,2]=>00000=>00000 [3,4,5,2,1,6]=>00001=>10000 [3,4,5,2,6,1]=>00000=>00000 [3,4,5,6,1,2]=>00000=>00000 [3,4,5,6,2,1]=>00000=>00000 [3,4,6,1,2,5]=>00000=>00000 [3,4,6,1,5,2]=>00000=>00000 [3,4,6,2,1,5]=>00000=>00000 [3,4,6,2,5,1]=>00000=>00000 [3,4,6,5,1,2]=>00000=>00000 [3,4,6,5,2,1]=>00000=>00000 [3,5,1,2,4,6]=>00001=>10000 [3,5,1,2,6,4]=>00000=>00000 [3,5,1,4,2,6]=>00001=>10000 [3,5,1,4,6,2]=>00000=>00000 [3,5,1,6,2,4]=>00000=>00000 [3,5,1,6,4,2]=>00000=>00000 [3,5,2,1,4,6]=>00001=>10000 [3,5,2,1,6,4]=>00000=>00000 [3,5,2,4,1,6]=>00001=>10000 [3,5,2,4,6,1]=>00000=>00000 [3,5,2,6,1,4]=>00000=>00000 [3,5,2,6,4,1]=>00000=>00000 [3,5,4,1,2,6]=>00001=>10000 [3,5,4,1,6,2]=>00000=>00000 [3,5,4,2,1,6]=>00001=>10000 [3,5,4,2,6,1]=>00000=>00000 [3,5,4,6,1,2]=>00000=>00000 [3,5,4,6,2,1]=>00000=>00000 [3,5,6,1,2,4]=>00000=>00000 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[8,6,7,3,2,4,5,1]=>0000000=>0000000 [6,7,8,3,2,4,5,1]=>0000000=>0000000 [8,7,6,2,3,4,5,1]=>0000000=>0000000 [7,8,6,2,3,4,5,1]=>0000000=>0000000 [8,6,7,2,3,4,5,1]=>0000000=>0000000 [7,6,8,2,3,4,5,1]=>0000000=>0000000 [6,7,8,2,3,4,5,1]=>0000000=>0000000 [7,8,4,3,5,2,6,1]=>0000000=>0000000 [7,8,4,3,2,5,6,1]=>0000000=>0000000 [8,4,5,3,6,2,7,1]=>0000000=>0000000 [8,6,4,2,3,5,7,1]=>0000000=>0000000 [4,5,6,7,3,2,8,1]=>0000000=>0000000 [6,5,4,3,7,2,8,1]=>0000000=>0000000 [6,4,5,3,7,2,8,1]=>0000000=>0000000 [5,4,6,3,7,2,8,1]=>0000000=>0000000 [6,5,3,4,7,2,8,1]=>0000000=>0000000 [5,6,3,4,7,2,8,1]=>0000000=>0000000 [5,4,3,6,7,2,8,1]=>0000000=>0000000 [6,7,5,4,2,3,8,1]=>0000000=>0000000 [6,5,7,4,2,3,8,1]=>0000000=>0000000 [6,7,4,5,2,3,8,1]=>0000000=>0000000 [6,5,4,7,2,3,8,1]=>0000000=>0000000 [5,4,6,7,2,3,8,1]=>0000000=>0000000 [6,7,5,3,2,4,8,1]=>0000000=>0000000 [6,5,7,3,2,4,8,1]=>0000000=>0000000 [7,6,5,2,3,4,8,1]=>0000000=>0000000 [5,6,7,2,3,4,8,1]=>0000000=>0000000 [6,7,4,3,2,5,8,1]=>0000000=>0000000 [7,6,4,2,3,5,8,1]=>0000000=>0000000 [6,7,2,3,4,5,8,1]=>0000000=>0000000 [6,5,4,3,2,7,8,1]=>0000000=>0000000 [5,4,6,3,2,7,8,1]=>0000000=>0000000 [5,4,3,6,2,7,8,1]=>0000000=>0000000 [3,4,5,6,2,7,8,1]=>0000000=>0000000 [5,6,4,2,3,7,8,1]=>0000000=>0000000 [5,4,6,2,3,7,8,1]=>0000000=>0000000 [6,5,2,3,4,7,8,1]=>0000000=>0000000 [5,4,3,2,6,7,8,1]=>0000000=>0000000 [2,3,4,5,6,7,8,1]=>0000000=>0000000 [7,8,6,5,4,3,1,2]=>0000000=>0000000 [7,6,5,8,4,3,1,2]=>0000000=>0000000 [6,7,5,8,4,3,1,2]=>0000000=>0000000 [7,5,6,8,4,3,1,2]=>0000000=>0000000 [5,6,7,8,4,3,1,2]=>0000000=>0000000 [8,6,7,4,5,3,1,2]=>0000000=>0000000 [7,8,4,5,6,3,1,2]=>0000000=>0000000 [6,5,7,4,8,3,1,2]=>0000000=>0000000 [7,6,4,5,8,3,1,2]=>0000000=>0000000 [6,7,4,5,8,3,1,2]=>0000000=>0000000 [4,5,6,7,8,3,1,2]=>0000000=>0000000 [7,8,5,6,3,4,1,2]=>0000000=>0000000 [7,6,5,8,3,4,1,2]=>0000000=>0000000 [6,7,5,8,3,4,1,2]=>0000000=>0000000 [7,5,6,8,3,4,1,2]=>0000000=>0000000 [6,5,7,8,3,4,1,2]=>0000000=>0000000 [5,6,7,8,3,4,1,2]=>0000000=>0000000 [8,7,6,3,4,5,1,2]=>0000000=>0000000 [7,8,6,3,4,5,1,2]=>0000000=>0000000 [8,7,4,5,3,6,1,2]=>0000000=>0000000 [7,8,4,5,3,6,1,2]=>0000000=>0000000 [7,8,5,3,4,6,1,2]=>0000000=>0000000 [8,7,4,3,5,6,1,2]=>0000000=>0000000 [7,8,4,3,5,6,1,2]=>0000000=>0000000 [7,8,3,4,5,6,1,2]=>0000000=>0000000 [8,5,4,6,3,7,1,2]=>0000000=>0000000 [5,6,7,4,3,8,1,2]=>0000000=>0000000 [6,7,4,5,3,8,1,2]=>0000000=>0000000 [7,5,4,6,3,8,1,2]=>0000000=>0000000 [6,5,4,7,3,8,1,2]=>0000000=>0000000 [5,6,4,7,3,8,1,2]=>0000000=>0000000 [4,5,6,7,3,8,1,2]=>0000000=>0000000 [7,6,3,4,5,8,1,2]=>0000000=>0000000 [7,4,5,3,6,8,1,2]=>0000000=>0000000 [6,5,4,3,7,8,1,2]=>0000000=>0000000 [5,4,6,3,7,8,1,2]=>0000000=>0000000 [4,5,6,3,7,8,1,2]=>0000000=>0000000 [5,6,3,4,7,8,1,2]=>0000000=>0000000 [6,4,3,5,7,8,1,2]=>0000000=>0000000 [6,3,4,5,7,8,1,2]=>0000000=>0000000 [5,4,3,6,7,8,1,2]=>0000000=>0000000 [4,5,3,6,7,8,1,2]=>0000000=>0000000 [5,3,4,6,7,8,1,2]=>0000000=>0000000 [4,3,5,6,7,8,1,2]=>0000000=>0000000 [3,4,5,6,7,8,1,2]=>0000000=>0000000 [8,7,6,5,4,2,1,3]=>0000000=>0000000 [7,6,8,5,4,2,1,3]=>0000000=>0000000 [7,8,5,6,4,2,1,3]=>0000000=>0000000 [7,6,5,8,4,2,1,3]=>0000000=>0000000 [6,7,5,8,4,2,1,3]=>0000000=>0000000 [7,5,6,8,4,2,1,3]=>0000000=>0000000 [5,6,7,8,4,2,1,3]=>0000000=>0000000 [7,6,4,5,8,2,1,3]=>0000000=>0000000 [4,5,6,7,8,2,1,3]=>0000000=>0000000 [6,7,8,5,4,1,2,3]=>0000000=>0000000 [8,5,6,7,4,1,2,3]=>0000000=>0000000 [7,6,5,8,4,1,2,3]=>0000000=>0000000 [6,7,5,8,4,1,2,3]=>0000000=>0000000 [6,5,7,8,4,1,2,3]=>0000000=>0000000 [5,6,7,8,4,1,2,3]=>0000000=>0000000 [8,6,7,4,5,1,2,3]=>0000000=>0000000 [8,7,5,4,6,1,2,3]=>0000000=>0000000 [8,6,5,4,7,1,2,3]=>0000000=>0000000 [8,6,4,5,7,1,2,3]=>0000000=>0000000 [7,6,5,4,8,1,2,3]=>0000000=>0000000 [6,7,4,5,8,1,2,3]=>0000000=>0000000 [6,5,4,7,8,1,2,3]=>0000000=>0000000 [5,4,6,7,8,1,2,3]=>0000000=>0000000 [8,7,6,5,3,2,1,4]=>0000000=>0000000 [7,8,6,5,3,2,1,4]=>0000000=>0000000 [8,6,7,5,3,2,1,4]=>0000000=>0000000 [7,6,8,5,3,2,1,4]=>0000000=>0000000 [6,7,8,5,3,2,1,4]=>0000000=>0000000 [8,7,5,6,3,2,1,4]=>0000000=>0000000 [7,8,5,6,3,2,1,4]=>0000000=>0000000 [8,6,5,7,3,2,1,4]=>0000000=>0000000 [8,5,6,7,3,2,1,4]=>0000000=>0000000 [7,6,5,8,3,2,1,4]=>0000000=>0000000 [6,7,5,8,3,2,1,4]=>0000000=>0000000 [7,5,6,8,3,2,1,4]=>0000000=>0000000 [6,5,7,8,3,2,1,4]=>0000000=>0000000 [5,6,7,8,3,2,1,4]=>0000000=>0000000 [8,7,6,5,2,3,1,4]=>0000000=>0000000 [7,8,6,5,2,3,1,4]=>0000000=>0000000 [8,6,7,5,2,3,1,4]=>0000000=>0000000 [7,6,8,5,2,3,1,4]=>0000000=>0000000 [6,7,8,5,2,3,1,4]=>0000000=>0000000 [8,7,5,6,2,3,1,4]=>0000000=>0000000 [7,8,5,6,2,3,1,4]=>0000000=>0000000 [8,6,5,7,2,3,1,4]=>0000000=>0000000 [8,5,6,7,2,3,1,4]=>0000000=>0000000 [7,6,5,8,2,3,1,4]=>0000000=>0000000 [6,7,5,8,2,3,1,4]=>0000000=>0000000 [7,5,6,8,2,3,1,4]=>0000000=>0000000 [6,5,7,8,2,3,1,4]=>0000000=>0000000 [5,6,7,8,2,3,1,4]=>0000000=>0000000 [7,8,5,6,3,1,2,4]=>0000000=>0000000 [7,6,5,8,3,1,2,4]=>0000000=>0000000 [6,7,5,8,3,1,2,4]=>0000000=>0000000 [7,5,6,8,3,1,2,4]=>0000000=>0000000 [6,5,7,8,3,1,2,4]=>0000000=>0000000 [5,6,7,8,3,1,2,4]=>0000000=>0000000 [8,7,6,5,2,1,3,4]=>0000000=>0000000 [6,7,8,5,2,1,3,4]=>0000000=>0000000 [7,8,5,6,2,1,3,4]=>0000000=>0000000 [8,6,5,7,2,1,3,4]=>0000000=>0000000 [7,6,5,8,2,1,3,4]=>0000000=>0000000 [6,7,5,8,2,1,3,4]=>0000000=>0000000 [7,5,6,8,2,1,3,4]=>0000000=>0000000 [6,5,7,8,2,1,3,4]=>0000000=>0000000 [5,6,7,8,2,1,3,4]=>0000000=>0000000 [8,7,6,5,1,2,3,4]=>0000000=>0000000 [7,8,6,5,1,2,3,4]=>0000000=>0000000 [8,6,7,5,1,2,3,4]=>0000000=>0000000 [7,6,8,5,1,2,3,4]=>0000000=>0000000 [6,7,8,5,1,2,3,4]=>0000000=>0000000 [8,7,5,6,1,2,3,4]=>0000000=>0000000 [7,8,5,6,1,2,3,4]=>0000000=>0000000 [8,6,5,7,1,2,3,4]=>0000000=>0000000 [8,5,6,7,1,2,3,4]=>0000000=>0000000 [7,6,5,8,1,2,3,4]=>0000000=>0000000 [6,7,5,8,1,2,3,4]=>0000000=>0000000 [7,5,6,8,1,2,3,4]=>0000000=>0000000 [6,5,7,8,1,2,3,4]=>0000000=>0000000 [5,6,7,8,1,2,3,4]=>0000000=>0000000 [8,7,6,4,3,2,1,5]=>0000000=>0000000 [7,8,6,4,3,2,1,5]=>0000000=>0000000 [8,6,7,4,3,2,1,5]=>0000000=>0000000 [7,6,8,4,3,2,1,5]=>0000000=>0000000 [6,7,8,4,3,2,1,5]=>0000000=>0000000 [8,7,6,3,4,2,1,5]=>0000000=>0000000 [6,7,8,3,4,2,1,5]=>0000000=>0000000 [8,7,6,4,2,3,1,5]=>0000000=>0000000 [7,6,8,4,2,3,1,5]=>0000000=>0000000 [6,7,8,4,2,3,1,5]=>0000000=>0000000 [8,7,6,3,2,4,1,5]=>0000000=>0000000 [8,6,7,3,2,4,1,5]=>0000000=>0000000 [6,7,8,3,2,4,1,5]=>0000000=>0000000 [8,7,6,2,3,4,1,5]=>0000000=>0000000 [6,7,8,2,3,4,1,5]=>0000000=>0000000 [8,7,6,4,3,1,2,5]=>0000000=>0000000 [6,7,8,4,3,1,2,5]=>0000000=>0000000 [8,7,6,3,4,1,2,5]=>0000000=>0000000 [6,7,8,3,4,1,2,5]=>0000000=>0000000 [8,7,6,4,2,1,3,5]=>0000000=>0000000 [6,7,8,4,2,1,3,5]=>0000000=>0000000 [8,7,6,4,1,2,3,5]=>0000000=>0000000 [6,7,8,4,1,2,3,5]=>0000000=>0000000 [8,7,6,3,2,1,4,5]=>0000000=>0000000 [7,6,8,3,2,1,4,5]=>0000000=>0000000 [6,7,8,3,2,1,4,5]=>0000000=>0000000 [8,7,6,2,3,1,4,5]=>0000000=>0000000 [7,6,8,2,3,1,4,5]=>0000000=>0000000 [6,7,8,2,3,1,4,5]=>0000000=>0000000 [8,7,6,3,1,2,4,5]=>0000000=>0000000 [7,8,6,3,1,2,4,5]=>0000000=>0000000 [6,7,8,3,1,2,4,5]=>0000000=>0000000 [8,7,6,2,1,3,4,5]=>0000000=>0000000 [7,8,6,2,1,3,4,5]=>0000000=>0000000 [6,7,8,2,1,3,4,5]=>0000000=>0000000 [8,7,6,1,2,3,4,5]=>0000000=>0000000 [7,8,6,1,2,3,4,5]=>0000000=>0000000 [8,6,7,1,2,3,4,5]=>0000000=>0000000 [7,6,8,1,2,3,4,5]=>0000000=>0000000 [6,7,8,1,2,3,4,5]=>0000000=>0000000 [8,7,5,4,3,2,1,6]=>0000000=>0000000 [7,8,5,4,3,2,1,6]=>0000000=>0000000 [7,8,3,4,5,2,1,6]=>0000000=>0000000 [8,7,4,5,2,3,1,6]=>0000000=>0000000 [7,8,4,5,2,3,1,6]=>0000000=>0000000 [7,8,4,3,2,5,1,6]=>0000000=>0000000 [7,8,3,4,2,5,1,6]=>0000000=>0000000 [8,7,5,3,4,1,2,6]=>0000000=>0000000 [7,8,5,4,1,2,3,6]=>0000000=>0000000 [8,7,5,2,1,3,4,6]=>0000000=>0000000 [7,8,5,2,1,3,4,6]=>0000000=>0000000 [8,7,5,1,2,3,4,6]=>0000000=>0000000 [7,8,5,1,2,3,4,6]=>0000000=>0000000 [8,7,4,3,2,1,5,6]=>0000000=>0000000 [7,8,4,3,2,1,5,6]=>0000000=>0000000 [8,7,3,4,2,1,5,6]=>0000000=>0000000 [7,8,3,4,2,1,5,6]=>0000000=>0000000 [7,8,4,2,3,1,5,6]=>0000000=>0000000 [8,7,3,2,4,1,5,6]=>0000000=>0000000 [7,8,3,2,4,1,5,6]=>0000000=>0000000 [7,8,2,3,4,1,5,6]=>0000000=>0000000 [7,8,4,3,1,2,5,6]=>0000000=>0000000 [7,8,3,4,1,2,5,6]=>0000000=>0000000 [7,8,4,2,1,3,5,6]=>0000000=>0000000 [7,8,4,1,2,3,5,6]=>0000000=>0000000 [8,7,3,2,1,4,5,6]=>0000000=>0000000 [7,8,3,2,1,4,5,6]=>0000000=>0000000 [7,8,2,3,1,4,5,6]=>0000000=>0000000 [7,8,3,1,2,4,5,6]=>0000000=>0000000 [8,7,2,1,3,4,5,6]=>0000000=>0000000 [7,8,2,1,3,4,5,6]=>0000000=>0000000 [7,8,1,2,3,4,5,6]=>0000000=>0000000 [8,6,5,4,3,2,1,7]=>0000000=>0000000 [8,5,6,4,3,2,1,7]=>0000000=>0000000 [8,4,5,6,3,2,1,7]=>0000000=>0000000 [8,4,5,3,6,2,1,7]=>0000000=>0000000 [8,3,4,5,6,2,1,7]=>0000000=>0000000 [8,6,5,2,3,4,1,7]=>0000000=>0000000 [8,6,4,2,3,5,1,7]=>0000000=>0000000 [8,6,4,5,3,1,2,7]=>0000000=>0000000 [8,5,6,3,4,1,2,7]=>0000000=>0000000 [8,4,3,5,6,1,2,7]=>0000000=>0000000 [8,3,4,5,6,1,2,7]=>0000000=>0000000 [8,6,5,4,2,1,3,7]=>0000000=>0000000 [8,4,5,6,1,2,3,7]=>0000000=>0000000 [8,6,5,2,3,1,4,7]=>0000000=>0000000 [8,5,6,2,3,1,4,7]=>0000000=>0000000 [8,5,6,2,1,3,4,7]=>0000000=>0000000 [8,6,5,1,2,3,4,7]=>0000000=>0000000 [8,5,6,1,2,3,4,7]=>0000000=>0000000 [8,6,4,3,2,1,5,7]=>0000000=>0000000 [8,6,3,4,2,1,5,7]=>0000000=>0000000 [8,6,4,2,3,1,5,7]=>0000000=>0000000 [8,6,3,2,4,1,5,7]=>0000000=>0000000 [8,6,3,4,1,2,5,7]=>0000000=>0000000 [8,6,4,2,1,3,5,7]=>0000000=>0000000 [8,6,3,2,1,4,5,7]=>0000000=>0000000 [8,4,5,3,2,1,6,7]=>0000000=>0000000 [8,4,3,5,2,1,6,7]=>0000000=>0000000 [8,5,4,2,1,3,6,7]=>0000000=>0000000 [8,4,3,2,1,5,6,7]=>0000000=>0000000 [8,2,3,4,1,5,6,7]=>0000000=>0000000 [8,3,2,1,4,5,6,7]=>0000000=>0000000 [8,2,3,1,4,5,6,7]=>0000000=>0000000 [7,6,5,4,3,2,1,8]=>0000001=>1000000 [6,7,5,4,3,2,1,8]=>0000001=>1000000 [7,5,6,4,3,2,1,8]=>0000001=>1000000 [6,5,7,4,3,2,1,8]=>0000001=>1000000 [5,6,7,4,3,2,1,8]=>0000001=>1000000 [7,6,4,5,3,2,1,8]=>0000001=>1000000 [6,5,4,7,3,2,1,8]=>0000001=>1000000 [5,6,4,7,3,2,1,8]=>0000001=>1000000 [4,5,6,7,3,2,1,8]=>0000001=>1000000 [7,5,6,3,4,2,1,8]=>0000001=>1000000 [5,6,7,3,4,2,1,8]=>0000001=>1000000 [7,6,3,4,5,2,1,8]=>0000001=>1000000 [7,3,4,5,6,2,1,8]=>0000001=>1000000 [6,5,4,3,7,2,1,8]=>0000001=>1000000 [5,4,6,3,7,2,1,8]=>0000001=>1000000 [5,4,3,6,7,2,1,8]=>0000001=>1000000 [5,6,7,4,2,3,1,8]=>0000001=>1000000 [7,6,4,5,2,3,1,8]=>0000001=>1000000 [6,7,4,5,2,3,1,8]=>0000001=>1000000 [6,5,4,7,2,3,1,8]=>0000001=>1000000 [5,6,4,7,2,3,1,8]=>0000001=>1000000 [5,6,7,3,2,4,1,8]=>0000001=>1000000 [7,6,5,2,3,4,1,8]=>0000001=>1000000 [6,7,5,2,3,4,1,8]=>0000001=>1000000 [7,5,6,2,3,4,1,8]=>0000001=>1000000 [6,5,7,2,3,4,1,8]=>0000001=>1000000 [5,6,7,2,3,4,1,8]=>0000001=>1000000 [6,7,4,3,2,5,1,8]=>0000001=>1000000 [6,7,3,4,2,5,1,8]=>0000001=>1000000 [7,6,4,2,3,5,1,8]=>0000001=>1000000 [7,6,3,2,4,5,1,8]=>0000001=>1000000 [6,7,3,2,4,5,1,8]=>0000001=>1000000 [7,6,2,3,4,5,1,8]=>0000001=>1000000 [7,4,5,3,2,6,1,8]=>0000001=>1000000 [7,4,3,5,2,6,1,8]=>0000001=>1000000 [7,5,3,2,4,6,1,8]=>0000001=>1000000 [5,4,6,3,2,7,1,8]=>0000001=>1000000 [5,6,3,4,2,7,1,8]=>0000001=>1000000 [6,3,4,5,2,7,1,8]=>0000001=>1000000 [5,4,3,6,2,7,1,8]=>0000001=>1000000 [4,5,3,6,2,7,1,8]=>0000001=>1000000 [3,4,5,6,2,7,1,8]=>0000001=>1000000 [6,3,2,4,5,7,1,8]=>0000001=>1000000 [6,2,3,4,5,7,1,8]=>0000001=>1000000 [5,4,3,2,6,7,1,8]=>0000001=>1000000 [6,5,7,3,4,1,2,8]=>0000001=>1000000 [6,7,3,4,5,1,2,8]=>0000001=>1000000 [6,4,5,3,7,1,2,8]=>0000001=>1000000 [3,4,5,6,7,1,2,8]=>0000001=>1000000 [5,6,7,4,1,2,3,8]=>0000001=>1000000 [5,6,4,7,1,2,3,8]=>0000001=>1000000 [5,4,6,7,1,2,3,8]=>0000001=>1000000 [5,6,7,3,1,2,4,8]=>0000001=>1000000 [5,6,7,2,1,3,4,8]=>0000001=>1000000 [7,6,5,1,2,3,4,8]=>0000001=>1000000 [6,7,5,1,2,3,4,8]=>0000001=>1000000 [7,5,6,1,2,3,4,8]=>0000001=>1000000 [6,5,7,1,2,3,4,8]=>0000001=>1000000 [5,6,7,1,2,3,4,8]=>0000001=>1000000 [7,6,4,3,2,1,5,8]=>0000001=>1000000 [6,7,3,4,2,1,5,8]=>0000001=>1000000 [7,6,4,2,3,1,5,8]=>0000001=>1000000 [7,6,3,2,4,1,5,8]=>0000001=>1000000 [7,6,2,3,4,1,5,8]=>0000001=>1000000 [6,7,2,3,4,1,5,8]=>0000001=>1000000 [7,6,3,2,1,4,5,8]=>0000001=>1000000 [6,7,3,2,1,4,5,8]=>0000001=>1000000 [6,7,3,1,2,4,5,8]=>0000001=>1000000 [6,7,1,2,3,4,5,8]=>0000001=>1000000 [7,5,2,3,4,1,6,8]=>0000001=>1000000 [7,2,3,4,5,1,6,8]=>0000001=>1000000 [7,4,5,1,2,3,6,8]=>0000001=>1000000 [7,5,3,2,1,4,6,8]=>0000001=>1000000 [7,5,3,1,2,4,6,8]=>0000001=>1000000 [7,5,1,2,3,4,6,8]=>0000001=>1000000 [7,4,3,2,1,5,6,8]=>0000001=>1000000 [7,4,3,1,2,5,6,8]=>0000001=>1000000 [7,3,1,2,4,5,6,8]=>0000001=>1000000 [7,1,2,3,4,5,6,8]=>0000001=>1000000 [5,4,6,3,2,1,7,8]=>0000011=>1100000 [4,5,6,3,2,1,7,8]=>0000011=>1100000 [5,4,3,6,2,1,7,8]=>0000011=>1100000 [3,4,5,6,2,1,7,8]=>0000011=>1100000 [6,5,2,3,4,1,7,8]=>0000011=>1100000 [5,6,2,3,4,1,7,8]=>0000011=>1100000 [6,4,3,2,5,1,7,8]=>0000011=>1100000 [5,4,3,2,6,1,7,8]=>0000011=>1100000 [4,5,3,2,6,1,7,8]=>0000011=>1100000 [5,3,2,4,6,1,7,8]=>0000011=>1100000 [5,6,4,3,1,2,7,8]=>0000011=>1100000 [5,4,6,3,1,2,7,8]=>0000011=>1100000 [5,6,3,4,1,2,7,8]=>0000011=>1100000 [6,4,3,5,1,2,7,8]=>0000011=>1100000 [5,4,3,6,1,2,7,8]=>0000011=>1100000 [5,6,4,2,1,3,7,8]=>0000011=>1100000 [5,4,6,2,1,3,7,8]=>0000011=>1100000 [5,6,3,2,1,4,7,8]=>0000011=>1100000 [6,4,3,2,1,5,7,8]=>0000011=>1100000 [6,3,4,2,1,5,7,8]=>0000011=>1100000 [6,4,3,1,2,5,7,8]=>0000011=>1100000 [6,4,2,1,3,5,7,8]=>0000011=>1100000 [5,4,3,2,1,6,7,8]=>0000111=>1110000 [4,5,3,2,1,6,7,8]=>0000111=>1110000 [5,3,4,2,1,6,7,8]=>0000111=>1110000 [4,3,5,2,1,6,7,8]=>0000111=>1110000 [3,4,5,2,1,6,7,8]=>0000111=>1110000 [5,4,2,3,1,6,7,8]=>0000111=>1110000 [4,5,2,3,1,6,7,8]=>0000111=>1110000 [5,3,2,4,1,6,7,8]=>0000111=>1110000 [5,2,3,4,1,6,7,8]=>0000111=>1110000 [4,3,2,5,1,6,7,8]=>0000111=>1110000 [3,4,2,5,1,6,7,8]=>0000111=>1110000 [4,2,3,5,1,6,7,8]=>0000111=>1110000 [3,2,4,5,1,6,7,8]=>0000111=>1110000 [2,3,4,5,1,6,7,8]=>0000111=>1110000 [5,4,3,1,2,6,7,8]=>0000111=>1110000 [5,3,4,1,2,6,7,8]=>0000111=>1110000 [5,4,2,1,3,6,7,8]=>0000111=>1110000 [5,4,1,2,3,6,7,8]=>0000111=>1110000 [4,5,1,2,3,6,7,8]=>0000111=>1110000 [5,3,2,1,4,6,7,8]=>0000111=>1110000 [5,2,3,1,4,6,7,8]=>0000111=>1110000 [5,3,1,2,4,6,7,8]=>0000111=>1110000 [5,2,1,3,4,6,7,8]=>0000111=>1110000 [5,1,2,3,4,6,7,8]=>0000111=>1110000 [4,3,2,1,5,6,7,8]=>0001111=>1111000 [3,4,2,1,5,6,7,8]=>0001111=>1111000 [4,2,3,1,5,6,7,8]=>0001111=>1111000 [3,2,4,1,5,6,7,8]=>0001111=>1111000 [2,3,4,1,5,6,7,8]=>0001111=>1111000 [4,3,1,2,5,6,7,8]=>0001111=>1111000 [3,4,1,2,5,6,7,8]=>0001111=>1111000 [4,2,1,3,5,6,7,8]=>0001111=>1111000 [4,1,2,3,5,6,7,8]=>0001111=>1111000 [3,2,1,4,5,6,7,8]=>0011111=>1111100 [2,3,1,4,5,6,7,8]=>0011111=>1111100 [3,1,2,4,5,6,7,8]=>0011111=>1111100 [2,1,3,4,5,6,7,8]=>0111111=>1111110 [1,2,3,4,5,6,7,8]=>1111111=>1111111 [5,8,7,6,4,3,2,1]=>0000000=>0000000 [6,5,8,7,4,3,2,1]=>0000000=>0000000 [4,8,7,6,5,3,2,1]=>0000000=>0000000 [4,7,8,6,5,3,2,1]=>0000000=>0000000 [4,6,8,7,5,3,2,1]=>0000000=>0000000 [4,7,6,8,5,3,2,1]=>0000000=>0000000 [4,6,7,8,5,3,2,1]=>0000000=>0000000 [4,5,8,7,6,3,2,1]=>0000000=>0000000 [4,5,7,8,6,3,2,1]=>0000000=>0000000 [4,6,5,8,7,3,2,1]=>0000000=>0000000 [4,5,6,8,7,3,2,1]=>0000000=>0000000 [5,7,6,4,8,3,2,1]=>0000000=>0000000 [4,7,6,5,8,3,2,1]=>0000000=>0000000 [4,6,7,5,8,3,2,1]=>0000000=>0000000 [5,4,7,6,8,3,2,1]=>0000000=>0000000 [4,5,7,6,8,3,2,1]=>0000000=>0000000 [4,6,5,7,8,3,2,1]=>0000000=>0000000 [3,8,7,6,5,4,2,1]=>0000000=>0000000 [3,5,6,7,8,4,2,1]=>0000000=>0000000 [4,3,6,7,8,5,2,1]=>0000000=>0000000 [3,4,8,7,6,5,2,1]=>0000000=>0000000 [4,5,3,7,8,6,2,1]=>0000000=>0000000 [4,3,5,7,8,6,2,1]=>0000000=>0000000 [4,5,6,3,8,7,2,1]=>0000000=>0000000 [4,3,6,5,8,7,2,1]=>0000000=>0000000 [5,4,3,6,8,7,2,1]=>0000000=>0000000 [4,5,3,6,8,7,2,1]=>0000000=>0000000 [4,3,5,6,8,7,2,1]=>0000000=>0000000 [3,4,7,6,5,8,2,1]=>0000000=>0000000 [4,5,3,7,6,8,2,1]=>0000000=>0000000 [4,3,5,7,6,8,2,1]=>0000000=>0000000 [3,4,6,5,7,8,2,1]=>0000000=>0000000 [2,8,7,6,5,4,3,1]=>0000000=>0000000 [2,5,6,7,8,4,3,1]=>0000000=>0000000 [2,4,8,7,6,5,3,1]=>0000000=>0000000 [2,4,6,8,7,5,3,1]=>0000000=>0000000 [2,5,4,8,7,6,3,1]=>0000000=>0000000 [2,5,6,4,8,7,3,1]=>0000000=>0000000 [2,4,7,6,5,8,3,1]=>0000000=>0000000 [2,6,5,4,7,8,3,1]=>0000000=>0000000 [3,2,8,7,6,5,4,1]=>0000000=>0000000 [3,2,6,8,7,5,4,1]=>0000000=>0000000 [3,2,5,6,7,8,4,1]=>0000000=>0000000 [2,3,8,7,6,5,4,1]=>0000000=>0000000 [2,3,5,8,7,6,4,1]=>0000000=>0000000 [2,3,5,6,7,8,4,1]=>0000000=>0000000 [4,3,2,8,7,6,5,1]=>0000000=>0000000 [4,3,2,7,8,6,5,1]=>0000000=>0000000 [4,3,2,6,8,7,5,1]=>0000000=>0000000 [3,4,2,8,7,6,5,1]=>0000000=>0000000 [3,4,2,7,8,6,5,1]=>0000000=>0000000 [2,4,3,8,7,6,5,1]=>0000000=>0000000 [3,2,4,8,7,6,5,1]=>0000000=>0000000 [2,3,4,8,7,6,5,1]=>0000000=>0000000 [5,4,3,2,8,7,6,1]=>0000000=>0000000 [5,4,3,2,7,8,6,1]=>0000000=>0000000 [4,5,3,2,8,7,6,1]=>0000000=>0000000 [4,3,5,2,8,7,6,1]=>0000000=>0000000 [2,5,4,3,8,7,6,1]=>0000000=>0000000 [2,5,4,3,7,8,6,1]=>0000000=>0000000 [2,4,5,3,8,7,6,1]=>0000000=>0000000 [2,3,5,4,8,7,6,1]=>0000000=>0000000 [4,3,2,5,8,7,6,1]=>0000000=>0000000 [6,5,4,3,2,8,7,1]=>0000000=>0000000 [4,6,5,3,2,8,7,1]=>0000000=>0000000 [5,4,6,3,2,8,7,1]=>0000000=>0000000 [4,5,6,3,2,8,7,1]=>0000000=>0000000 [4,3,6,5,2,8,7,1]=>0000000=>0000000 [2,4,6,5,3,8,7,1]=>0000000=>0000000 [4,3,2,6,5,8,7,1]=>0000000=>0000000 [3,4,2,6,5,8,7,1]=>0000000=>0000000 [2,4,3,6,5,8,7,1]=>0000000=>0000000 [2,3,4,6,5,8,7,1]=>0000000=>0000000 [5,4,3,2,6,8,7,1]=>0000000=>0000000 [2,5,4,3,6,8,7,1]=>0000000=>0000000 [4,3,2,5,6,8,7,1]=>0000000=>0000000 [3,4,2,5,6,8,7,1]=>0000000=>0000000 [2,4,3,5,6,8,7,1]=>0000000=>0000000 [2,3,4,5,6,8,7,1]=>0000000=>0000000 [4,6,5,7,3,2,8,1]=>0000000=>0000000 [3,5,7,6,4,2,8,1]=>0000000=>0000000 [4,3,6,7,5,2,8,1]=>0000000=>0000000 [5,4,3,7,6,2,8,1]=>0000000=>0000000 [4,6,5,3,7,2,8,1]=>0000000=>0000000 [3,6,5,4,7,2,8,1]=>0000000=>0000000 [2,5,4,7,6,3,8,1]=>0000000=>0000000 [2,4,6,5,7,3,8,1]=>0000000=>0000000 [3,2,6,7,5,4,8,1]=>0000000=>0000000 [2,3,7,6,5,4,8,1]=>0000000=>0000000 [4,3,2,7,6,5,8,1]=>0000000=>0000000 [3,4,2,7,6,5,8,1]=>0000000=>0000000 [2,4,3,7,6,5,8,1]=>0000000=>0000000 [3,2,4,7,6,5,8,1]=>0000000=>0000000 [2,3,4,7,6,5,8,1]=>0000000=>0000000 [5,4,3,2,7,6,8,1]=>0000000=>0000000 [2,5,4,3,7,6,8,1]=>0000000=>0000000 [2,4,3,5,7,6,8,1]=>0000000=>0000000 [2,6,5,4,3,7,8,1]=>0000000=>0000000 [2,3,6,5,4,7,8,1]=>0000000=>0000000 [4,3,2,6,5,7,8,1]=>0000000=>0000000 [2,4,3,6,5,7,8,1]=>0000000=>0000000 [2,3,4,6,5,7,8,1]=>0000000=>0000000 [2,5,4,3,6,7,8,1]=>0000000=>0000000 [2,4,3,5,6,7,8,1]=>0000000=>0000000 [1,8,7,6,5,4,3,2]=>1000000=>0000001 [1,7,8,6,5,4,3,2]=>1000000=>0000001 [1,6,8,7,5,4,3,2]=>1000000=>0000001 [1,7,6,8,5,4,3,2]=>1000000=>0000001 [1,6,7,8,5,4,3,2]=>1000000=>0000001 [1,7,6,5,8,4,3,2]=>1000000=>0000001 [1,6,7,5,8,4,3,2]=>1000000=>0000001 [1,5,7,6,8,4,3,2]=>1000000=>0000001 [1,6,5,7,8,4,3,2]=>1000000=>0000001 [1,5,6,7,8,4,3,2]=>1000000=>0000001 [1,4,8,7,6,5,3,2]=>1000000=>0000001 [1,4,7,8,6,5,3,2]=>1000000=>0000001 [1,4,6,8,7,5,3,2]=>1000000=>0000001 [1,4,6,7,8,5,3,2]=>1000000=>0000001 [1,4,6,5,8,7,3,2]=>1000000=>0000001 [1,4,7,6,5,8,3,2]=>1000000=>0000001 [1,6,5,4,7,8,3,2]=>1000000=>0000001 [1,5,4,6,7,8,3,2]=>1000000=>0000001 [1,3,8,7,6,5,4,2]=>1000000=>0000001 [1,3,6,8,7,5,4,2]=>1000000=>0000001 [1,3,6,7,8,5,4,2]=>1000000=>0000001 [1,3,5,8,7,6,4,2]=>1000000=>0000001 [1,3,5,7,8,6,4,2]=>1000000=>0000001 [1,3,6,5,7,8,4,2]=>1000000=>0000001 [1,3,5,6,7,8,4,2]=>1000000=>0000001 [1,4,3,8,7,6,5,2]=>1000000=>0000001 [1,4,3,7,8,6,5,2]=>1000000=>0000001 [1,4,3,6,8,7,5,2]=>1000000=>0000001 [1,4,3,7,6,8,5,2]=>1000000=>0000001 [1,3,4,8,7,6,5,2]=>1000000=>0000001 [1,3,4,7,6,8,5,2]=>1000000=>0000001 [1,3,4,6,7,8,5,2]=>1000000=>0000001 [1,4,3,5,8,7,6,2]=>1000000=>0000001 [1,4,3,5,7,8,6,2]=>1000000=>0000001 [1,6,5,4,3,8,7,2]=>1000000=>0000001 [1,5,6,4,3,8,7,2]=>1000000=>0000001 [1,4,6,5,3,8,7,2]=>1000000=>0000001 [1,3,6,5,4,8,7,2]=>1000000=>0000001 [1,4,3,6,5,8,7,2]=>1000000=>0000001 [1,5,4,3,6,8,7,2]=>1000000=>0000001 [1,3,4,7,6,5,8,2]=>1000000=>0000001 [1,5,4,3,6,7,8,2]=>1000000=>0000001 [2,1,8,7,6,5,4,3]=>0100000=>0000010 [2,1,6,7,8,5,4,3]=>0100000=>0000010 [2,1,5,6,7,8,4,3]=>0100000=>0000010 [2,1,4,8,7,6,5,3]=>0100000=>0000010 [2,1,4,7,8,6,5,3]=>0100000=>0000010 [2,1,4,6,7,8,5,3]=>0100000=>0000010 [2,1,4,6,5,8,7,3]=>0100000=>0000010 [2,1,4,5,6,8,7,3]=>0100000=>0000010 [2,1,5,6,7,4,8,3]=>0100000=>0000010 [2,1,4,7,6,5,8,3]=>0100000=>0000010 [2,1,5,4,7,6,8,3]=>0100000=>0000010 [1,2,8,7,6,5,4,3]=>1100000=>0000011 [1,2,6,7,8,5,4,3]=>1100000=>0000011 [1,2,5,6,7,8,4,3]=>1100000=>0000011 [1,2,4,8,7,6,5,3]=>1100000=>0000011 [1,2,4,7,8,6,5,3]=>1100000=>0000011 [1,2,4,6,8,7,5,3]=>1100000=>0000011 [1,2,5,4,8,7,6,3]=>1100000=>0000011 [1,2,5,4,7,8,6,3]=>1100000=>0000011 [1,2,6,5,4,8,7,3]=>1100000=>0000011 [1,2,4,6,5,8,7,3]=>1100000=>0000011 [1,2,5,4,6,8,7,3]=>1100000=>0000011 [1,2,4,7,6,5,8,3]=>1100000=>0000011 [3,2,1,8,7,6,5,4]=>0010000=>0000100 [3,2,1,7,8,6,5,4]=>0010000=>0000100 [3,2,1,6,8,7,5,4]=>0010000=>0000100 [3,2,1,7,6,8,5,4]=>0010000=>0000100 [3,2,1,6,7,8,5,4]=>0010000=>0000100 [3,2,1,5,8,7,6,4]=>0010000=>0000100 [3,2,1,5,7,8,6,4]=>0010000=>0000100 [3,2,1,6,5,8,7,4]=>0010000=>0000100 [3,2,1,5,6,8,7,4]=>0010000=>0000100 [3,2,1,7,6,5,8,4]=>0010000=>0000100 [3,2,1,6,7,5,8,4]=>0010000=>0000100 [3,2,1,5,7,6,8,4]=>0010000=>0000100 [3,2,1,6,5,7,8,4]=>0010000=>0000100 [3,2,1,5,6,7,8,4]=>0010000=>0000100 [2,3,1,8,7,6,5,4]=>0010000=>0000100 [2,3,1,6,8,7,5,4]=>0010000=>0000100 [2,3,1,7,6,8,5,4]=>0010000=>0000100 [2,3,1,6,7,8,5,4]=>0010000=>0000100 [2,3,1,6,5,8,7,4]=>0010000=>0000100 [2,3,1,5,6,7,8,4]=>0010000=>0000100 [1,3,2,8,7,6,5,4]=>1010000=>0000101 [1,3,2,6,8,7,5,4]=>1010000=>0000101 [1,3,2,6,5,8,7,4]=>1010000=>0000101 [2,1,3,8,7,6,5,4]=>0110000=>0000110 [2,1,3,7,8,6,5,4]=>0110000=>0000110 [2,1,3,6,8,7,5,4]=>0110000=>0000110 [1,2,3,8,7,6,5,4]=>1110000=>0000111 [1,2,3,7,8,6,5,4]=>1110000=>0000111 [1,2,3,6,8,7,5,4]=>1110000=>0000111 [1,2,3,7,6,8,5,4]=>1110000=>0000111 [1,2,3,6,7,8,5,4]=>1110000=>0000111 [1,2,3,5,8,7,6,4]=>1110000=>0000111 [1,2,3,5,7,8,6,4]=>1110000=>0000111 [1,2,3,6,5,8,7,4]=>1110000=>0000111 [1,2,3,5,6,8,7,4]=>1110000=>0000111 [1,2,3,7,6,5,8,4]=>1110000=>0000111 [1,2,3,6,7,5,8,4]=>1110000=>0000111 [1,2,3,5,7,6,8,4]=>1110000=>0000111 [1,2,3,6,5,7,8,4]=>1110000=>0000111 [1,2,3,5,6,7,8,4]=>1110000=>0000111 [4,3,2,1,8,7,6,5]=>0001000=>0001000 [4,3,2,1,7,8,6,5]=>0001000=>0001000 [4,3,2,1,6,8,7,5]=>0001000=>0001000 [4,3,2,1,7,6,8,5]=>0001000=>0001000 [4,3,2,1,6,7,8,5]=>0001000=>0001000 [3,4,2,1,8,7,6,5]=>0001000=>0001000 [3,4,2,1,7,8,6,5]=>0001000=>0001000 [3,4,2,1,6,7,8,5]=>0001000=>0001000 [2,4,3,1,8,7,6,5]=>0001000=>0001000 [2,4,3,1,7,6,8,5]=>0001000=>0001000 [3,2,4,1,8,7,6,5]=>0001000=>0001000 [3,2,4,1,7,8,6,5]=>0001000=>0001000 [3,2,4,1,6,8,7,5]=>0001000=>0001000 [2,3,4,1,8,7,6,5]=>0001000=>0001000 [2,3,4,1,6,7,8,5]=>0001000=>0001000 [1,4,3,2,8,7,6,5]=>1001000=>0001001 [1,4,3,2,6,7,8,5]=>1001000=>0001001 [1,3,4,2,8,7,6,5]=>1001000=>0001001 [1,3,4,2,7,8,6,5]=>1001000=>0001001 [1,3,4,2,6,8,7,5]=>1001000=>0001001 [2,1,4,3,8,7,6,5]=>0101000=>0001010 [2,1,4,3,7,8,6,5]=>0101000=>0001010 [2,1,4,3,6,8,7,5]=>0101000=>0001010 [1,2,4,3,8,7,6,5]=>1101000=>0001011 [1,2,4,3,7,8,6,5]=>1101000=>0001011 [1,2,4,3,6,8,7,5]=>1101000=>0001011 [1,2,4,3,6,7,8,5]=>1101000=>0001011 [3,2,1,4,8,7,6,5]=>0011000=>0001100 [3,2,1,4,7,8,6,5]=>0011000=>0001100 [3,2,1,4,6,8,7,5]=>0011000=>0001100 [2,3,1,4,8,7,6,5]=>0011000=>0001100 [2,3,1,4,7,8,6,5]=>0011000=>0001100 [1,3,2,4,8,7,6,5]=>1011000=>0001101 [1,3,2,4,6,8,7,5]=>1011000=>0001101 [1,3,2,4,6,7,8,5]=>1011000=>0001101 [2,1,3,4,8,7,6,5]=>0111000=>0001110 [2,1,3,4,6,7,8,5]=>0111000=>0001110 [1,2,3,4,8,7,6,5]=>1111000=>0001111 [1,2,3,4,7,8,6,5]=>1111000=>0001111 [1,2,3,4,6,8,7,5]=>1111000=>0001111 [1,2,3,4,7,6,8,5]=>1111000=>0001111 [1,2,3,4,6,7,8,5]=>1111000=>0001111 [5,4,3,2,1,8,7,6]=>0000100=>0010000 [5,4,3,2,1,7,8,6]=>0000100=>0010000 [4,5,3,2,1,8,7,6]=>0000100=>0010000 [3,5,4,2,1,8,7,6]=>0000100=>0010000 [3,5,4,2,1,7,8,6]=>0000100=>0010000 [4,3,5,2,1,8,7,6]=>0000100=>0010000 [3,4,5,2,1,8,7,6]=>0000100=>0010000 [2,5,4,3,1,8,7,6]=>0000100=>0010000 [2,4,5,3,1,8,7,6]=>0000100=>0010000 [3,2,5,4,1,8,7,6]=>0000100=>0010000 [3,2,5,4,1,7,8,6]=>0000100=>0010000 [2,3,5,4,1,8,7,6]=>0000100=>0010000 [4,3,2,5,1,8,7,6]=>0000100=>0010000 [3,4,2,5,1,8,7,6]=>0000100=>0010000 [2,4,3,5,1,8,7,6]=>0000100=>0010000 [3,2,4,5,1,8,7,6]=>0000100=>0010000 [2,3,4,5,1,8,7,6]=>0000100=>0010000 [1,2,5,4,3,7,8,6]=>1100100=>0010011 [1,2,4,5,3,8,7,6]=>1100100=>0010011 [1,3,2,5,4,8,7,6]=>1010100=>0010101 [1,3,2,5,4,7,8,6]=>1010100=>0010101 [2,1,3,5,4,8,7,6]=>0110100=>0010110 [1,2,3,5,4,8,7,6]=>1110100=>0010111 [1,2,3,5,4,7,8,6]=>1110100=>0010111 [4,3,2,1,5,8,7,6]=>0001100=>0011000 [4,3,2,1,5,7,8,6]=>0001100=>0011000 [3,2,4,1,5,8,7,6]=>0001100=>0011000 [1,4,3,2,5,8,7,6]=>1001100=>0011001 [1,3,4,2,5,7,8,6]=>1001100=>0011001 [1,2,4,3,5,7,8,6]=>1101100=>0011011 [3,2,1,4,5,8,7,6]=>0011100=>0011100 [3,2,1,4,5,7,8,6]=>0011100=>0011100 [2,3,1,4,5,7,8,6]=>0011100=>0011100 [1,2,3,4,5,8,7,6]=>1111100=>0011111 [1,2,3,4,5,7,8,6]=>1111100=>0011111 [6,5,4,3,2,1,8,7]=>0000010=>0100000 [4,5,6,3,2,1,8,7]=>0000010=>0100000 [4,3,6,5,2,1,8,7]=>0000010=>0100000 [3,4,5,6,2,1,8,7]=>0000010=>0100000 [5,4,3,2,6,1,8,7]=>0000010=>0100000 [4,5,3,2,6,1,8,7]=>0000010=>0100000 [3,5,4,2,6,1,8,7]=>0000010=>0100000 [1,5,4,6,3,2,8,7]=>1000010=>0100001 [1,3,6,5,4,2,8,7]=>1000010=>0100001 [2,1,6,5,4,3,8,7]=>0100010=>0100010 [2,1,5,6,4,3,8,7]=>0100010=>0100010 [2,1,4,5,6,3,8,7]=>0100010=>0100010 [2,3,1,6,5,4,8,7]=>0010010=>0100100 [2,1,3,6,5,4,8,7]=>0110010=>0100110 [1,2,3,6,5,4,8,7]=>1110010=>0100111 [1,2,3,5,6,4,8,7]=>1110010=>0100111 [4,3,2,1,6,5,8,7]=>0001010=>0101000 [3,4,2,1,6,5,8,7]=>0001010=>0101000 [3,2,4,1,6,5,8,7]=>0001010=>0101000 [2,1,4,3,6,5,8,7]=>0101010=>0101010 [1,2,4,3,6,5,8,7]=>1101010=>0101011 [1,3,2,4,6,5,8,7]=>1011010=>0101101 [2,1,3,4,6,5,8,7]=>0111010=>0101110 [1,2,3,4,6,5,8,7]=>1111010=>0101111 [5,4,3,2,1,6,8,7]=>0000110=>0110000 [4,5,3,2,1,6,8,7]=>0000110=>0110000 [3,5,4,2,1,6,8,7]=>0000110=>0110000 [2,5,4,3,1,6,8,7]=>0000110=>0110000 [2,4,5,3,1,6,8,7]=>0000110=>0110000 [3,2,5,4,1,6,8,7]=>0000110=>0110000 [1,3,5,4,2,6,8,7]=>1000110=>0110001 [2,1,5,4,3,6,8,7]=>0100110=>0110010 [1,2,5,4,3,6,8,7]=>1100110=>0110011 [2,1,3,5,4,6,8,7]=>0110110=>0110110 [4,3,2,1,5,6,8,7]=>0001110=>0111000 [1,4,3,2,5,6,8,7]=>1001110=>0111001 [2,1,4,3,5,6,8,7]=>0101110=>0111010 [1,2,4,3,5,6,8,7]=>1101110=>0111011 [2,1,3,4,5,6,8,7]=>0111110=>0111110 [1,2,3,4,5,6,8,7]=>1111110=>0111111 [5,7,6,4,3,2,1,8]=>0000001=>1000000 [4,7,6,5,3,2,1,8]=>0000001=>1000000 [4,6,7,5,3,2,1,8]=>0000001=>1000000 [4,5,7,6,3,2,1,8]=>0000001=>1000000 [4,6,5,7,3,2,1,8]=>0000001=>1000000 [3,5,7,6,4,2,1,8]=>0000001=>1000000 [3,5,6,7,4,2,1,8]=>0000001=>1000000 [3,4,7,6,5,2,1,8]=>0000001=>1000000 [4,5,3,7,6,2,1,8]=>0000001=>1000000 [3,5,4,7,6,2,1,8]=>0000001=>1000000 [4,3,5,7,6,2,1,8]=>0000001=>1000000 [2,5,6,7,4,3,1,8]=>0000001=>1000000 [2,4,6,7,5,3,1,8]=>0000001=>1000000 [3,2,7,6,5,4,1,8]=>0000001=>1000000 [3,2,6,7,5,4,1,8]=>0000001=>1000000 [3,2,5,7,6,4,1,8]=>0000001=>1000000 [2,3,7,6,5,4,1,8]=>0000001=>1000000 [2,3,6,7,5,4,1,8]=>0000001=>1000000 [2,3,5,7,6,4,1,8]=>0000001=>1000000 [2,3,6,5,7,4,1,8]=>0000001=>1000000 [2,3,5,6,7,4,1,8]=>0000001=>1000000 [3,2,4,6,7,5,1,8]=>0000001=>1000000 [2,3,4,7,6,5,1,8]=>0000001=>1000000 [5,4,3,2,7,6,1,8]=>0000001=>1000000 [4,5,3,2,7,6,1,8]=>0000001=>1000000 [3,5,4,2,7,6,1,8]=>0000001=>1000000 [3,2,5,4,7,6,1,8]=>0000001=>1000000 [3,4,6,5,2,7,1,8]=>0000001=>1000000 [3,5,4,6,2,7,1,8]=>0000001=>1000000 [2,5,4,6,3,7,1,8]=>0000001=>1000000 [3,2,6,5,4,7,1,8]=>0000001=>1000000 [3,4,2,6,5,7,1,8]=>0000001=>1000000 [2,4,3,6,5,7,1,8]=>0000001=>1000000 [3,5,4,2,6,7,1,8]=>0000001=>1000000 [2,5,4,3,6,7,1,8]=>0000001=>1000000 [1,5,6,7,4,3,2,8]=>1000001=>1000001 [1,4,6,5,7,3,2,8]=>1000001=>1000001 [1,3,5,7,6,4,2,8]=>1000001=>1000001 [1,3,5,6,7,4,2,8]=>1000001=>1000001 [1,3,5,4,7,6,2,8]=>1000001=>1000001 [1,4,3,5,7,6,2,8]=>1000001=>1000001 [1,5,4,6,3,7,2,8]=>1000001=>1000001 [1,3,6,5,4,7,2,8]=>1000001=>1000001 [1,4,3,6,5,7,2,8]=>1000001=>1000001 [1,3,4,5,6,7,2,8]=>1000001=>1000001 [2,1,5,6,7,4,3,8]=>0100001=>1000010 [1,2,5,7,6,4,3,8]=>1100001=>1000011 [1,2,5,6,7,4,3,8]=>1100001=>1000011 [1,2,5,6,4,7,3,8]=>1100001=>1000011 [1,2,5,4,6,7,3,8]=>1100001=>1000011 [3,2,1,5,7,6,4,8]=>0010001=>1000100 [3,2,1,6,5,7,4,8]=>0010001=>1000100 [2,3,1,6,5,7,4,8]=>0010001=>1000100 [1,3,2,6,5,7,4,8]=>1010001=>1000101 [2,1,3,6,7,5,4,8]=>0110001=>1000110 [1,2,3,7,6,5,4,8]=>1110001=>1000111 [1,2,3,6,7,5,4,8]=>1110001=>1000111 [1,2,3,5,7,6,4,8]=>1110001=>1000111 [1,2,3,6,5,7,4,8]=>1110001=>1000111 [1,2,3,5,6,7,4,8]=>1110001=>1000111 [4,3,2,1,7,6,5,8]=>0001001=>1001000 [4,3,2,1,6,7,5,8]=>0001001=>1001000 [1,4,3,2,7,6,5,8]=>1001001=>1001001 [1,4,3,2,6,7,5,8]=>1001001=>1001001 [1,3,4,2,6,7,5,8]=>1001001=>1001001 [2,1,4,3,6,7,5,8]=>0101001=>1001010 [1,2,4,3,6,7,5,8]=>1101001=>1001011 [3,2,1,4,7,6,5,8]=>0011001=>1001100 [1,3,2,4,7,6,5,8]=>1011001=>1001101 [1,2,3,4,7,6,5,8]=>1111001=>1001111 [1,2,3,4,6,7,5,8]=>1111001=>1001111 [5,4,3,2,1,7,6,8]=>0000101=>1010000 [3,5,4,2,1,7,6,8]=>0000101=>1010000 [2,4,5,3,1,7,6,8]=>0000101=>1010000 [3,2,5,4,1,7,6,8]=>0000101=>1010000 [3,4,2,5,1,7,6,8]=>0000101=>1010000 [2,4,3,5,1,7,6,8]=>0000101=>1010000 [1,4,3,5,2,7,6,8]=>1000101=>1010001 [3,2,1,5,4,7,6,8]=>0010101=>1010100 [2,3,1,5,4,7,6,8]=>0010101=>1010100 [1,3,2,5,4,7,6,8]=>1010101=>1010101 [1,2,3,5,4,7,6,8]=>1110101=>1010111 [4,3,2,1,5,7,6,8]=>0001101=>1011000 [1,4,3,2,5,7,6,8]=>1001101=>1011001 [1,3,2,4,5,7,6,8]=>1011101=>1011101 [1,2,3,4,5,7,6,8]=>1111101=>1011111 [4,3,6,5,2,1,7,8]=>0000011=>1100000 [2,4,6,5,3,1,7,8]=>0000011=>1100000 [2,4,5,6,3,1,7,8]=>0000011=>1100000 [4,3,2,6,5,1,7,8]=>0000011=>1100000 [3,5,4,2,6,1,7,8]=>0000011=>1100000 [1,5,6,4,3,2,7,8]=>1000011=>1100001 [1,4,6,5,3,2,7,8]=>1000011=>1100001 [1,5,4,6,3,2,7,8]=>1000011=>1100001 [1,4,5,6,3,2,7,8]=>1000011=>1100001 [1,3,5,6,4,2,7,8]=>1000011=>1100001 [1,4,3,6,5,2,7,8]=>1000011=>1100001 [1,5,4,3,6,2,7,8]=>1000011=>1100001 [2,1,5,6,4,3,7,8]=>0100011=>1100010 [2,1,4,6,5,3,7,8]=>0100011=>1100010 [1,2,6,5,4,3,7,8]=>1100011=>1100011 [1,2,4,5,6,3,7,8]=>1100011=>1100011 [3,2,1,5,6,4,7,8]=>0010011=>1100100 [1,2,3,5,6,4,7,8]=>1110011=>1100111 [4,3,2,1,6,5,7,8]=>0001011=>1101000 [3,2,4,1,6,5,7,8]=>0001011=>1101000 [2,1,4,3,6,5,7,8]=>0101011=>1101010 [1,2,4,3,6,5,7,8]=>1101011=>1101011 [1,3,2,4,6,5,7,8]=>1011011=>1101101 [2,1,3,4,6,5,7,8]=>0111011=>1101110 [1,2,3,4,6,5,7,8]=>1111011=>1101111 [3,5,4,2,1,6,7,8]=>0000111=>1110000 [2,5,4,3,1,6,7,8]=>0000111=>1110000 [2,4,5,3,1,6,7,8]=>0000111=>1110000 [3,2,5,4,1,6,7,8]=>0000111=>1110000 [2,3,5,4,1,6,7,8]=>0000111=>1110000 [2,4,3,5,1,6,7,8]=>0000111=>1110000 [1,3,2,5,4,6,7,8]=>1010111=>1110101 [1,2,3,5,4,6,7,8]=>1110111=>1110111 [2,4,3,1,5,6,7,8]=>0001111=>1111000 [1,4,3,2,5,6,7,8]=>1001111=>1111001 [1,3,4,2,5,6,7,8]=>1001111=>1111001 [2,1,4,3,5,6,7,8]=>0101111=>1111010 [1,2,4,3,5,6,7,8]=>1101111=>1111011 [1,3,2,4,5,6,7,8]=>1011111=>1111101 [1,2,3,4,8,6,7,5]=>1111000=>0001111 [1,2,3,5,8,6,7,4]=>1110000=>0000111 [1,2,3,7,5,6,4,8]=>1110001=>1000111 [1,2,3,7,5,6,8,4]=>1110000=>0000111 [1,2,3,8,5,6,7,4]=>1110000=>0000111 [1,2,3,8,5,7,6,4]=>1110000=>0000111 [1,2,3,8,6,5,7,4]=>1110000=>0000111 [1,2,3,8,6,7,5,4]=>1110000=>0000111 [1,2,4,5,8,6,7,3]=>1100000=>0000011 [1,2,4,8,6,5,7,3]=>1100000=>0000011 [1,2,5,4,8,6,7,3]=>1100000=>0000011 [1,2,6,4,5,3,7,8]=>1100011=>1100011 [1,2,8,4,5,6,7,3]=>1100000=>0000011 [1,2,7,5,4,6,8,3]=>1100000=>0000011 [1,2,8,5,4,6,7,3]=>1100000=>0000011 [1,2,8,5,4,7,6,3]=>1100000=>0000011 [1,3,2,7,5,6,8,4]=>1010000=>0000101 [1,3,2,8,5,7,6,4]=>1010000=>0000101 [1,3,6,4,5,2,8,7]=>1000010=>0100001 [1,3,6,4,5,7,2,8]=>1000001=>1000001 [1,3,6,4,5,8,7,2]=>1000000=>0000001 [1,3,8,4,5,6,7,2]=>1000000=>0000001 [1,3,8,4,6,7,5,2]=>1000000=>0000001 [1,3,8,5,4,6,7,2]=>1000000=>0000001 [1,3,8,5,6,7,4,2]=>1000000=>0000001 [1,3,8,5,7,6,4,2]=>1000000=>0000001 [1,3,8,6,5,7,4,2]=>1000000=>0000001 [1,3,8,7,5,6,4,2]=>1000000=>0000001 [1,4,3,8,5,6,7,2]=>1000000=>0000001 [1,4,3,8,5,7,6,2]=>1000000=>0000001 [1,4,3,8,6,7,5,2]=>1000000=>0000001 [1,5,3,4,2,7,8,6]=>1000100=>0010001 [1,5,3,4,2,8,7,6]=>1000100=>0010001 [1,5,3,4,8,6,7,2]=>1000000=>0000001 [1,8,3,4,6,7,5,2]=>1000000=>0000001 [1,6,3,5,4,2,7,8]=>1000011=>1100001 [1,6,3,5,4,8,7,2]=>1000000=>0000001 [1,8,3,5,6,4,7,2]=>1000000=>0000001 [1,8,3,5,7,6,4,2]=>1000000=>0000001 [1,8,3,6,5,4,7,2]=>1000000=>0000001 [1,8,3,7,6,5,4,2]=>1000000=>0000001 [1,6,4,3,5,2,7,8]=>1000011=>1100001 [1,8,4,3,5,6,7,2]=>1000000=>0000001 [1,8,4,3,5,7,6,2]=>1000000=>0000001 [1,6,4,5,3,8,7,2]=>1000000=>0000001 [1,8,4,5,6,7,3,2]=>1000000=>0000001 [1,8,4,6,5,7,3,2]=>1000000=>0000001 [1,8,4,7,6,5,3,2]=>1000000=>0000001 [1,7,5,4,3,6,8,2]=>1000000=>0000001 [1,8,5,4,3,6,7,2]=>1000000=>0000001 [1,8,5,4,6,3,7,2]=>1000000=>0000001 [1,8,5,4,6,7,3,2]=>1000000=>0000001 [1,8,5,4,7,6,3,2]=>1000000=>0000001 [1,8,6,4,5,7,3,2]=>1000000=>0000001 [1,8,6,5,4,7,3,2]=>1000000=>0000001 [1,8,7,5,6,4,3,2]=>1000000=>0000001 [2,1,3,4,8,6,7,5]=>0111000=>0001110 [2,1,4,8,6,5,7,3]=>0100000=>0000010 [2,1,6,4,5,8,7,3]=>0100000=>0000010 [2,1,8,5,4,6,7,3]=>0100000=>0000010 [2,1,8,5,4,7,6,3]=>0100000=>0000010 [2,1,7,5,6,4,8,3]=>0100000=>0000010 [2,1,8,7,5,6,4,3]=>0100000=>0000010 [2,3,1,8,6,7,5,4]=>0010000=>0000100 [2,3,6,4,5,7,8,1]=>0000000=>0000000 [2,3,7,4,5,6,8,1]=>0000000=>0000000 [2,3,8,4,5,6,7,1]=>0000000=>0000000 [2,3,7,4,6,5,8,1]=>0000000=>0000000 [2,3,7,5,4,6,8,1]=>0000000=>0000000 [2,3,7,5,6,4,1,8]=>0000001=>1000000 [2,3,7,5,6,4,8,1]=>0000000=>0000000 [2,4,3,5,8,6,7,1]=>0000000=>0000000 [2,5,3,4,1,6,7,8]=>0000111=>1110000 [2,5,3,4,1,8,7,6]=>0000100=>0010000 [2,5,3,4,6,7,1,8]=>0000001=>1000000 [2,5,3,4,8,7,6,1]=>0000000=>0000000 [2,6,3,4,5,7,8,1]=>0000000=>0000000 [2,6,3,5,4,1,8,7]=>0000010=>0100000 [2,6,3,5,4,7,8,1]=>0000000=>0000000 [2,7,3,5,4,6,8,1]=>0000000=>0000000 [2,7,3,5,6,4,8,1]=>0000000=>0000000 [2,8,3,5,7,6,4,1]=>0000000=>0000000 [2,7,3,6,5,4,1,8]=>0000001=>1000000 [2,5,4,3,8,6,7,1]=>0000000=>0000000 [2,6,4,3,5,7,8,1]=>0000000=>0000000 [2,8,4,3,5,6,7,1]=>0000000=>0000000 [2,8,4,3,7,6,5,1]=>0000000=>0000000 [2,6,4,5,3,1,7,8]=>0000011=>1100000 [2,6,4,5,3,7,8,1]=>0000000=>0000000 [2,7,5,4,3,6,8,1]=>0000000=>0000000 [2,7,5,4,6,3,8,1]=>0000000=>0000000 [2,8,5,4,7,6,3,1]=>0000000=>0000000 [2,8,7,5,4,6,3,1]=>0000000=>0000000 [2,8,7,5,6,4,3,1]=>0000000=>0000000 [3,2,1,4,8,6,7,5]=>0011000=>0001100 [3,2,1,5,8,6,7,4]=>0010000=>0000100 [3,2,1,7,5,6,4,8]=>0010001=>1000100 [3,2,1,7,5,6,8,4]=>0010000=>0000100 [3,2,1,8,5,6,7,4]=>0010000=>0000100 [3,2,1,8,5,7,6,4]=>0010000=>0000100 [3,2,1,8,6,5,7,4]=>0010000=>0000100 [3,2,1,8,6,7,5,4]=>0010000=>0000100 [3,2,4,1,8,6,7,5]=>0001000=>0001000 [3,2,7,4,6,5,1,8]=>0000001=>1000000 [3,2,7,4,6,5,8,1]=>0000000=>0000000 [3,2,8,5,4,6,7,1]=>0000000=>0000000 [3,2,7,5,6,4,1,8]=>0000001=>1000000 [3,2,8,5,7,6,4,1]=>0000000=>0000000 [4,2,3,1,8,6,7,5]=>0001000=>0001000 [4,2,3,1,8,7,6,5]=>0001000=>0001000 [4,2,3,5,1,7,8,6]=>0000100=>0010000 [4,2,3,5,1,8,7,6]=>0000100=>0010000 [4,2,3,5,6,8,7,1]=>0000000=>0000000 [4,2,3,7,5,6,1,8]=>0000001=>1000000 [4,2,3,8,5,6,7,1]=>0000000=>0000000 [4,2,3,7,6,5,8,1]=>0000000=>0000000 [4,2,3,8,7,6,5,1]=>0000000=>0000000 [5,2,3,4,1,8,7,6]=>0000100=>0010000 [5,2,3,4,8,7,6,1]=>0000000=>0000000 [6,2,3,5,4,1,7,8]=>0000011=>1100000 [6,2,3,5,4,1,8,7]=>0000010=>0100000 [6,2,3,5,4,7,1,8]=>0000001=>1000000 [7,2,3,5,6,4,1,8]=>0000001=>1000000 [7,2,3,6,5,4,1,8]=>0000001=>1000000 [5,2,4,3,1,6,7,8]=>0000111=>1110000 [5,2,4,3,1,6,8,7]=>0000110=>0110000 [5,2,4,3,1,7,6,8]=>0000101=>1010000 [5,2,4,3,1,8,7,6]=>0000100=>0010000 [5,2,4,3,6,1,7,8]=>0000011=>1100000 [5,2,4,3,6,1,8,7]=>0000010=>0100000 [5,2,4,3,7,6,1,8]=>0000001=>1000000 [5,2,4,3,7,6,8,1]=>0000000=>0000000 [7,2,4,3,6,5,1,8]=>0000001=>1000000 [7,2,4,3,6,5,8,1]=>0000000=>0000000 [6,2,4,5,3,1,7,8]=>0000011=>1100000 [7,2,4,5,3,6,1,8]=>0000001=>1000000 [7,2,4,5,3,6,8,1]=>0000000=>0000000 [8,2,4,7,6,5,3,1]=>0000000=>0000000 [6,2,5,4,3,1,8,7]=>0000010=>0100000 [7,2,5,4,3,6,1,8]=>0000001=>1000000 [8,2,6,4,5,7,3,1]=>0000000=>0000000 [8,2,7,5,6,4,3,1]=>0000000=>0000000 [8,2,7,6,5,4,3,1]=>0000000=>0000000 [4,3,2,1,8,6,7,5]=>0001000=>0001000 [4,3,2,7,5,6,8,1]=>0000000=>0000000 [4,3,2,8,5,6,7,1]=>0000000=>0000000 [4,3,2,8,6,7,5,1]=>0000000=>0000000 [5,3,2,4,1,6,8,7]=>0000110=>0110000 [5,3,2,4,1,8,7,6]=>0000100=>0010000 [5,3,2,4,6,1,8,7]=>0000010=>0100000 [6,3,2,5,4,1,7,8]=>0000011=>1100000 [6,3,2,5,4,1,8,7]=>0000010=>0100000 [6,3,2,5,4,7,1,8]=>0000001=>1000000 [8,3,2,5,4,7,6,1]=>0000000=>0000000 [8,3,2,5,6,4,7,1]=>0000000=>0000000 [8,3,2,7,6,5,4,1]=>0000000=>0000000 [5,3,4,2,1,7,8,6]=>0000100=>0010000 [5,3,4,2,1,8,7,6]=>0000100=>0010000 [5,3,4,2,7,6,1,8]=>0000001=>1000000 [7,3,4,2,6,5,1,8]=>0000001=>1000000 [7,3,4,2,6,5,8,1]=>0000000=>0000000 [7,3,4,6,5,2,1,8]=>0000001=>1000000 [6,3,5,4,2,7,1,8]=>0000001=>1000000 [7,3,5,4,6,2,1,8]=>0000001=>1000000 [7,3,6,4,5,2,1,8]=>0000001=>1000000 [7,3,6,5,4,2,1,8]=>0000001=>1000000 [5,4,3,2,8,6,7,1]=>0000000=>0000000 [6,4,3,5,2,1,8,7]=>0000010=>0100000 [7,4,3,6,5,2,1,8]=>0000001=>1000000 [7,4,3,6,5,2,8,1]=>0000000=>0000000 [6,5,3,4,2,1,8,7]=>0000010=>0100000 [8,5,3,4,7,6,2,1]=>0000000=>0000000 [8,7,3,6,5,4,2,1]=>0000000=>0000000 [8,5,4,3,2,7,6,1]=>0000000=>0000000 [8,7,4,3,6,5,2,1]=>0000000=>0000000 [2,4,6,1,3,5,8,7]=>0000010=>0100000 [2,1,4,6,3,8,5,7]=>0100000=>0000010 [2,4,1,6,3,8,5,7]=>0000000=>0000000 [2,4,6,1,3,8,5,7]=>0000000=>0000000 [2,4,6,1,8,3,5,7]=>0000000=>0000000 [2,4,6,8,1,3,5,7]=>0000000=>0000000 [2,4,1,3,6,5,7,8]=>0001011=>1101000 [2,4,1,6,3,7,5,8]=>0000001=>1000000 [2,4,6,1,3,7,5,8]=>0000001=>1000000 [2,4,1,6,3,7,8,5]=>0000000=>0000000 [2,4,1,6,7,3,8,5]=>0000000=>0000000 [2,4,6,1,7,3,8,5]=>0000000=>0000000 [2,4,6,7,1,3,8,5]=>0000000=>0000000 [2,4,1,6,7,8,3,5]=>0000000=>0000000 [2,4,6,7,8,1,3,5]=>0000000=>0000000 [2,1,4,3,7,5,8,6]=>0101000=>0001010 [2,4,1,3,7,5,8,6]=>0001000=>0001000 [2,4,1,7,3,5,8,6]=>0000000=>0000000 [2,4,7,1,3,5,8,6]=>0000000=>0000000 [2,1,4,3,7,8,5,6]=>0101000=>0001010 [2,4,1,3,7,8,5,6]=>0001000=>0001000 [2,4,1,7,3,8,5,6]=>0000000=>0000000 [2,4,1,7,8,3,5,6]=>0000000=>0000000 [2,4,1,5,3,7,6,8]=>0000101=>1010000 [2,4,1,3,5,7,8,6]=>0001100=>0011000 [2,4,1,5,3,7,8,6]=>0000100=>0010000 [2,4,5,1,3,7,8,6]=>0000100=>0010000 [2,1,4,5,7,3,8,6]=>0100000=>0000010 [2,4,1,5,7,3,8,6]=>0000000=>0000000 [2,4,5,1,7,3,8,6]=>0000000=>0000000 [2,4,1,3,8,5,6,7]=>0001000=>0001000 [2,1,4,8,3,5,6,7]=>0100000=>0000010 [2,4,1,8,3,5,6,7]=>0000000=>0000000 [2,4,1,5,3,8,6,7]=>0000100=>0010000 [2,1,4,5,8,3,6,7]=>0100000=>0000010 [2,4,1,5,6,3,8,7]=>0000010=>0100000 [2,1,4,5,6,8,3,7]=>0100000=>0000010 [2,4,1,3,5,6,7,8]=>0001111=>1111000 [2,4,1,5,6,3,7,8]=>0000011=>1100000 [2,4,5,6,1,3,7,8]=>0000011=>1100000 [2,4,5,6,7,1,3,8]=>0000001=>1000000 [2,4,5,6,7,1,8,3]=>0000000=>0000000 [2,1,5,3,6,4,8,7]=>0100010=>0100010 [2,1,5,6,3,4,8,7]=>0100010=>0100010 [2,1,5,3,6,8,4,7]=>0100000=>0000010 [2,5,1,3,6,8,4,7]=>0000000=>0000000 [2,1,5,6,3,4,7,8]=>0100011=>1100010 [2,5,1,6,3,4,7,8]=>0000011=>1100000 [2,1,5,3,6,7,4,8]=>0100001=>1000010 [2,1,5,6,3,7,4,8]=>0100001=>1000010 [2,5,1,6,3,7,4,8]=>0000001=>1000000 [2,5,6,1,3,7,4,8]=>0000001=>1000000 [2,1,5,6,7,3,4,8]=>0100001=>1000010 [2,5,1,3,6,7,8,4]=>0000000=>0000000 [2,1,5,6,3,7,8,4]=>0100000=>0000010 [2,5,6,1,3,7,8,4]=>0000000=>0000000 [2,1,5,6,7,8,3,4]=>0100000=>0000010 [2,1,5,3,7,4,8,6]=>0100000=>0000010 [2,1,5,7,3,4,8,6]=>0100000=>0000010 [2,5,1,7,3,4,8,6]=>0000000=>0000000 [2,5,7,1,3,4,8,6]=>0000000=>0000000 [2,1,5,3,7,8,4,6]=>0100000=>0000010 [2,5,1,3,7,8,4,6]=>0000000=>0000000 [2,1,5,7,3,8,4,6]=>0100000=>0000010 [2,1,5,7,8,3,4,6]=>0100000=>0000010 [2,5,1,7,8,3,4,6]=>0000000=>0000000 [2,5,1,3,7,4,6,8]=>0000001=>1000000 [2,1,5,7,3,4,6,8]=>0100001=>1000010 [2,3,5,7,1,4,8,6]=>0000000=>0000000 [2,3,5,6,1,8,4,7]=>0000000=>0000000 [2,3,5,6,8,1,4,7]=>0000000=>0000000 [2,5,1,3,4,6,7,8]=>0000111=>1110000 [2,3,5,6,1,4,7,8]=>0000011=>1100000 [2,3,5,6,1,7,8,4]=>0000000=>0000000 [2,3,5,6,7,8,1,4]=>0000000=>0000000 [2,1,6,3,7,4,8,5]=>0100000=>0000010 [2,6,1,3,7,4,8,5]=>0000000=>0000000 [2,6,7,1,3,4,8,5]=>0000000=>0000000 [2,1,6,3,7,8,4,5]=>0100000=>0000010 [2,6,1,7,3,8,4,5]=>0000000=>0000000 [2,1,6,7,8,3,4,5]=>0100000=>0000010 [2,6,1,7,8,3,4,5]=>0000000=>0000000 [2,6,7,8,1,3,4,5]=>0000000=>0000000 [2,6,1,7,3,4,5,8]=>0000001=>1000000 [2,6,7,1,3,4,5,8]=>0000001=>1000000 [2,3,1,6,4,7,5,8]=>0010001=>1000100 [2,3,6,1,4,7,5,8]=>0000001=>1000000 [2,1,6,3,4,7,8,5]=>0100000=>0000010 [2,3,6,1,4,7,8,5]=>0000000=>0000000 [2,1,3,6,7,4,8,5]=>0110000=>0000110 [2,3,1,6,7,8,4,5]=>0010000=>0000100 [2,3,6,7,8,1,4,5]=>0000000=>0000000 [2,6,1,8,3,4,5,7]=>0000000=>0000000 [2,1,6,3,4,8,5,7]=>0100000=>0000010 [2,3,6,1,4,5,8,7]=>0000010=>0100000 [2,3,4,1,6,8,5,7]=>0001000=>0001000 [2,3,4,6,7,8,1,5]=>0000000=>0000000 [2,1,7,8,3,4,5,6]=>0100000=>0000010 [2,7,1,8,3,4,5,6]=>0000000=>0000000 [2,7,8,1,3,4,5,6]=>0000000=>0000000 [2,1,7,3,4,8,5,6]=>0100000=>0000010 [2,1,3,7,4,8,5,6]=>0110000=>0000110 [2,3,7,1,4,5,8,6]=>0000000=>0000000 [2,1,3,4,7,8,5,6]=>0111000=>0001110 [2,1,3,8,4,5,6,7]=>0110000=>0000110 [2,3,1,8,4,5,6,7]=>0010000=>0000100 [2,1,3,4,8,5,6,7]=>0111000=>0001110 [2,3,4,8,1,5,6,7]=>0000000=>0000000 [3,1,4,2,6,5,8,7]=>0001010=>0101000 [3,4,1,2,6,5,8,7]=>0001010=>0101000 [3,4,6,1,2,5,8,7]=>0000010=>0100000 [3,1,4,2,6,8,5,7]=>0001000=>0001000 [3,1,4,6,8,2,5,7]=>0000000=>0000000 [3,1,4,2,6,5,7,8]=>0001011=>1101000 [3,4,1,2,6,5,7,8]=>0001011=>1101000 [3,1,4,2,6,7,5,8]=>0001001=>1001000 [3,4,1,6,2,7,5,8]=>0000001=>1000000 [3,1,4,2,6,7,8,5]=>0001000=>0001000 [3,4,1,2,6,7,8,5]=>0001000=>0001000 [3,4,6,1,7,2,8,5]=>0000000=>0000000 [3,1,4,6,7,8,2,5]=>0000000=>0000000 [3,4,6,1,7,8,2,5]=>0000000=>0000000 [3,4,6,7,1,8,2,5]=>0000000=>0000000 [3,4,6,7,8,1,2,5]=>0000000=>0000000 [3,1,4,2,7,5,8,6]=>0001000=>0001000 [3,4,1,2,7,5,8,6]=>0001000=>0001000 [3,4,7,1,2,5,8,6]=>0000000=>0000000 [3,1,4,2,7,8,5,6]=>0001000=>0001000 [3,4,1,2,7,8,5,6]=>0001000=>0001000 [3,4,7,1,8,2,5,6]=>0000000=>0000000 [3,1,4,2,7,5,6,8]=>0001001=>1001000 [3,4,1,5,2,7,6,8]=>0000101=>1010000 [3,1,4,2,5,7,8,6]=>0001100=>0011000 [3,1,4,5,2,7,8,6]=>0000100=>0010000 [3,1,4,5,7,8,2,6]=>0000000=>0000000 [3,4,1,5,7,8,2,6]=>0000000=>0000000 [3,4,5,1,7,8,2,6]=>0000000=>0000000 [3,4,1,8,2,5,6,7]=>0000000=>0000000 [3,1,4,2,5,8,6,7]=>0001100=>0011000 [3,4,1,5,2,8,6,7]=>0000100=>0010000 [3,4,1,5,8,2,6,7]=>0000000=>0000000 [3,4,1,2,5,6,8,7]=>0001110=>0111000 [3,4,5,6,1,2,8,7]=>0000010=>0100000 [3,4,5,6,1,8,2,7]=>0000000=>0000000 [3,4,5,6,8,1,2,7]=>0000000=>0000000 [3,1,4,2,5,6,7,8]=>0001111=>1111000 [3,4,1,5,6,7,2,8]=>0000001=>1000000 [3,4,5,6,1,7,2,8]=>0000001=>1000000 [3,4,5,1,6,7,8,2]=>0000000=>0000000 [3,4,5,6,1,7,8,2]=>0000000=>0000000 [3,1,5,2,6,4,8,7]=>0000010=>0100000 [3,1,5,6,2,4,8,7]=>0000010=>0100000 [3,5,1,6,2,4,8,7]=>0000010=>0100000 [3,5,1,2,6,8,4,7]=>0000000=>0000000 [3,1,5,6,2,8,4,7]=>0000000=>0000000 [3,5,6,1,2,8,4,7]=>0000000=>0000000 [3,1,5,6,8,2,4,7]=>0000000=>0000000 [3,5,6,1,8,2,4,7]=>0000000=>0000000 [3,1,5,6,2,4,7,8]=>0000011=>1100000 [3,5,1,6,2,4,7,8]=>0000011=>1100000 [3,5,1,6,2,7,4,8]=>0000001=>1000000 [3,5,6,1,2,7,4,8]=>0000001=>1000000 [3,1,5,2,6,7,8,4]=>0000000=>0000000 [3,5,1,2,6,7,8,4]=>0000000=>0000000 [3,5,1,6,2,7,8,4]=>0000000=>0000000 [3,1,5,6,7,2,8,4]=>0000000=>0000000 [3,5,1,6,7,8,2,4]=>0000000=>0000000 [3,5,6,1,7,8,2,4]=>0000000=>0000000 [3,1,5,2,7,4,8,6]=>0000000=>0000000 [3,5,1,2,7,4,8,6]=>0000000=>0000000 [3,1,5,7,2,4,8,6]=>0000000=>0000000 [3,5,1,7,2,4,8,6]=>0000000=>0000000 [3,5,7,1,2,4,8,6]=>0000000=>0000000 [3,1,5,2,7,8,4,6]=>0000000=>0000000 [3,5,1,2,7,8,4,6]=>0000000=>0000000 [3,1,5,7,2,8,4,6]=>0000000=>0000000 [3,5,1,7,2,8,4,6]=>0000000=>0000000 [3,1,5,7,8,2,4,6]=>0000000=>0000000 [3,5,1,7,8,2,4,6]=>0000000=>0000000 [3,1,5,2,7,4,6,8]=>0000001=>1000000 [3,1,5,7,2,4,6,8]=>0000001=>1000000 [3,5,1,7,2,4,6,8]=>0000001=>1000000 [3,5,7,1,2,4,6,8]=>0000001=>1000000 [1,3,5,7,2,4,6,8]=>1000001=>1000001 [3,5,1,2,4,7,8,6]=>0000100=>0010000 [3,1,2,5,7,4,8,6]=>0010000=>0000100 [1,3,5,2,7,4,8,6]=>1000000=>0000001 [1,3,5,7,2,4,8,6]=>1000000=>0000001 [1,3,5,2,7,8,4,6]=>1000000=>0000001 [3,1,5,2,8,4,6,7]=>0000000=>0000000 [3,5,1,2,8,4,6,7]=>0000000=>0000000 [3,1,5,8,2,4,6,7]=>0000000=>0000000 [3,5,1,8,2,4,6,7]=>0000000=>0000000 [3,1,5,2,4,8,6,7]=>0000100=>0010000 [3,5,1,2,4,8,6,7]=>0000100=>0010000 [1,3,2,5,4,8,6,7]=>1010100=>0010101 [1,3,5,2,4,8,6,7]=>1000100=>0010001 [3,1,2,5,8,4,6,7]=>0010000=>0000100 [1,3,2,5,8,4,6,7]=>1010000=>0000101 [1,3,5,2,8,4,6,7]=>1000000=>0000001 [1,3,5,8,2,4,6,7]=>1000000=>0000001 [3,5,1,2,4,6,8,7]=>0000110=>0110000 [3,1,2,5,4,6,8,7]=>0010110=>0110100 [1,3,5,2,4,6,8,7]=>1000110=>0110001 [1,3,5,2,6,4,8,7]=>1000010=>0100001 [1,3,5,6,2,4,8,7]=>1000010=>0100001 [3,1,2,5,6,8,4,7]=>0010000=>0000100 [1,3,5,2,6,8,4,7]=>1000000=>0000001 [3,5,1,2,4,6,7,8]=>0000111=>1110000 [1,3,5,6,2,4,7,8]=>1000011=>1100001 [3,1,2,5,6,7,4,8]=>0010001=>1000100 [1,3,5,2,6,7,4,8]=>1000001=>1000001 [1,3,5,6,2,7,4,8]=>1000001=>1000001 [1,3,5,6,7,2,4,8]=>1000001=>1000001 [3,1,2,5,6,7,8,4]=>0010000=>0000100 [1,3,5,6,7,8,2,4]=>1000000=>0000001 [3,1,6,2,7,4,8,5]=>0000000=>0000000 [3,6,1,2,7,4,8,5]=>0000000=>0000000 [3,6,1,7,2,4,8,5]=>0000000=>0000000 [3,6,7,1,2,4,8,5]=>0000000=>0000000 [3,1,6,7,2,8,4,5]=>0000000=>0000000 [3,6,1,7,2,8,4,5]=>0000000=>0000000 [3,6,7,1,2,8,4,5]=>0000000=>0000000 [3,6,1,7,8,2,4,5]=>0000000=>0000000 [3,6,7,8,1,2,4,5]=>0000000=>0000000 [3,1,6,7,2,4,5,8]=>0000001=>1000000 [3,6,7,1,2,4,5,8]=>0000001=>1000000 [3,1,6,2,4,7,5,8]=>0000001=>1000000 [3,1,2,6,4,7,5,8]=>0010001=>1000100 [1,3,2,6,4,7,5,8]=>1010001=>1000101 [1,3,6,2,4,7,5,8]=>1000001=>1000001 [3,1,6,2,4,7,8,5]=>0000000=>0000000 [3,6,1,2,4,7,8,5]=>0000000=>0000000 [3,1,2,6,4,7,8,5]=>0010000=>0000100 [1,3,6,2,4,7,8,5]=>1000000=>0000001 [3,1,2,6,7,4,8,5]=>0010000=>0000100 [1,3,6,2,7,4,8,5]=>1000000=>0000001 [1,3,6,7,2,4,8,5]=>1000000=>0000001 [1,3,6,2,7,8,4,5]=>1000000=>0000001 [3,1,6,2,8,4,5,7]=>0000000=>0000000 [3,1,6,8,2,4,5,7]=>0000000=>0000000 [3,6,1,8,2,4,5,7]=>0000000=>0000000 [3,1,6,2,4,8,5,7]=>0000000=>0000000 [1,3,2,6,4,8,5,7]=>1010000=>0000101 [1,3,6,2,4,8,5,7]=>1000000=>0000001 [3,1,6,2,4,5,8,7]=>0000010=>0100000 [3,1,2,6,4,5,8,7]=>0010010=>0100100 [1,3,4,6,2,5,8,7]=>1000010=>0100001 [3,1,2,4,6,8,5,7]=>0011000=>0001100 [1,3,2,4,6,8,5,7]=>1011000=>0001101 [1,3,4,6,8,2,5,7]=>1000000=>0000001 [3,1,6,2,4,5,7,8]=>0000011=>1100000 [1,3,2,6,4,5,7,8]=>1010011=>1100101 [1,3,6,2,4,5,7,8]=>1000011=>1100001 [3,1,2,4,6,7,5,8]=>0011001=>1001100 [3,1,2,4,6,7,8,5]=>0011000=>0001100 [3,7,1,2,8,4,5,6]=>0000000=>0000000 [3,1,7,8,2,4,5,6]=>0000000=>0000000 [3,7,1,2,4,8,5,6]=>0000000=>0000000 [3,1,2,7,4,8,5,6]=>0010000=>0000100 [1,3,2,7,4,8,5,6]=>1010000=>0000101 [1,3,7,2,4,8,5,6]=>1000000=>0000001 [1,3,7,2,8,4,5,6]=>1000000=>0000001 [1,3,7,2,4,5,8,6]=>1000000=>0000001 [3,1,2,4,7,5,8,6]=>0011000=>0001100 [1,3,2,4,7,5,8,6]=>1011000=>0001101 [1,3,4,7,2,5,8,6]=>1000000=>0000001 [3,7,1,2,4,5,6,8]=>0000001=>1000000 [1,3,2,7,4,5,6,8]=>1010001=>1000101 [1,3,4,5,7,8,2,6]=>1000000=>0000001 [3,1,2,8,4,5,6,7]=>0010000=>0000100 [1,3,2,8,4,5,6,7]=>1010000=>0000101 [1,3,8,2,4,5,6,7]=>1000000=>0000001 [3,1,2,4,8,5,6,7]=>0011000=>0001100 [1,3,2,4,8,5,6,7]=>1011000=>0001101 [1,3,4,2,8,5,6,7]=>1001000=>0001001 [1,3,4,8,2,5,6,7]=>1000000=>0000001 [3,1,2,4,5,8,6,7]=>0011100=>0011100 [1,3,2,4,5,8,6,7]=>1011100=>0011101 [1,3,4,2,5,8,6,7]=>1001100=>0011001 [1,3,4,5,2,8,6,7]=>1000100=>0010001 [4,1,5,2,6,3,8,7]=>0000010=>0100000 [4,5,1,2,6,3,8,7]=>0000010=>0100000 [4,1,5,6,2,3,8,7]=>0000010=>0100000 [4,5,6,1,2,3,8,7]=>0000010=>0100000 [4,1,5,2,6,8,3,7]=>0000000=>0000000 [4,5,1,2,6,8,3,7]=>0000000=>0000000 [4,5,1,6,2,8,3,7]=>0000000=>0000000 [4,1,5,6,8,2,3,7]=>0000000=>0000000 [4,5,6,8,1,2,3,7]=>0000000=>0000000 [4,5,1,6,2,7,3,8]=>0000001=>1000000 [4,1,5,6,7,2,3,8]=>0000001=>1000000 [4,5,1,6,7,2,3,8]=>0000001=>1000000 [4,1,5,2,6,7,8,3]=>0000000=>0000000 [4,5,1,2,6,7,8,3]=>0000000=>0000000 [4,5,1,6,2,7,8,3]=>0000000=>0000000 [4,5,1,6,7,2,8,3]=>0000000=>0000000 [4,5,6,1,7,2,8,3]=>0000000=>0000000 [4,5,1,6,7,8,2,3]=>0000000=>0000000 [4,1,5,2,7,3,8,6]=>0000000=>0000000 [4,5,1,2,7,3,8,6]=>0000000=>0000000 [4,5,1,7,2,3,8,6]=>0000000=>0000000 [4,1,5,2,7,8,3,6]=>0000000=>0000000 [4,5,1,2,7,8,3,6]=>0000000=>0000000 [4,1,5,7,2,8,3,6]=>0000000=>0000000 [4,5,1,7,2,8,3,6]=>0000000=>0000000 [4,5,7,1,2,8,3,6]=>0000000=>0000000 [4,5,1,7,8,2,3,6]=>0000000=>0000000 [4,1,5,2,7,3,6,8]=>0000001=>1000000 [4,5,1,2,7,3,6,8]=>0000001=>1000000 [1,4,2,5,3,7,6,8]=>1000101=>1010001 [4,1,2,5,7,3,6,8]=>0000001=>1000000 [1,4,2,5,7,3,6,8]=>1000001=>1000001 [1,4,5,2,7,3,6,8]=>1000001=>1000001 [1,4,5,7,2,3,6,8]=>1000001=>1000001 [4,1,5,2,3,7,8,6]=>0000100=>0010000 [4,1,2,5,3,7,8,6]=>0000100=>0010000 [1,4,5,2,3,7,8,6]=>1000100=>0010001 [4,1,2,5,7,3,8,6]=>0000000=>0000000 [1,4,2,5,7,3,8,6]=>1000000=>0000001 [1,4,5,2,7,3,8,6]=>1000000=>0000001 [1,4,2,5,7,8,3,6]=>1000000=>0000001 [1,4,5,2,7,8,3,6]=>1000000=>0000001 [1,4,5,7,8,2,3,6]=>1000000=>0000001 [4,1,5,2,8,3,6,7]=>0000000=>0000000 [4,5,1,2,8,3,6,7]=>0000000=>0000000 [4,5,1,8,2,3,6,7]=>0000000=>0000000 [4,5,8,1,2,3,6,7]=>0000000=>0000000 [4,1,5,2,3,8,6,7]=>0000100=>0010000 [4,5,1,2,3,8,6,7]=>0000100=>0010000 [4,1,2,5,3,8,6,7]=>0000100=>0010000 [1,4,2,5,3,8,6,7]=>1000100=>0010001 [1,4,5,2,3,8,6,7]=>1000100=>0010001 [4,1,2,5,8,3,6,7]=>0000000=>0000000 [1,4,2,5,8,3,6,7]=>1000000=>0000001 [1,4,2,5,3,6,8,7]=>1000110=>0110001 [4,1,2,5,6,3,8,7]=>0000010=>0100000 [1,4,5,2,6,3,8,7]=>1000010=>0100001 [4,1,2,5,6,8,3,7]=>0000000=>0000000 [1,4,5,2,6,8,3,7]=>1000000=>0000001 [1,4,5,6,8,2,3,7]=>1000000=>0000001 [1,4,2,5,3,6,7,8]=>1000111=>1110001 [1,4,5,2,3,6,7,8]=>1000111=>1110001 [4,1,2,5,6,3,7,8]=>0000011=>1100000 [1,4,5,2,6,3,7,8]=>1000011=>1100001 [4,1,2,5,6,7,3,8]=>0000001=>1000000 [1,4,2,5,6,7,3,8]=>1000001=>1000001 [1,4,5,6,7,2,3,8]=>1000001=>1000001 [1,4,5,2,6,7,8,3]=>1000000=>0000001 [1,4,5,6,7,2,8,3]=>1000000=>0000001 [4,1,6,2,7,3,8,5]=>0000000=>0000000 [4,6,7,1,2,3,8,5]=>0000000=>0000000 [4,6,7,1,8,2,3,5]=>0000000=>0000000 [4,6,7,8,1,2,3,5]=>0000000=>0000000 [4,1,6,2,7,3,5,8]=>0000001=>1000000 [4,6,1,2,7,3,5,8]=>0000001=>1000000 [4,1,6,7,2,3,5,8]=>0000001=>1000000 [4,6,1,7,2,3,5,8]=>0000001=>1000000 [4,6,1,2,3,7,5,8]=>0000001=>1000000 [4,1,2,6,3,7,5,8]=>0000001=>1000000 [1,4,2,6,3,7,5,8]=>1000001=>1000001 [4,1,2,6,7,3,5,8]=>0000001=>1000000 [1,4,2,6,7,3,5,8]=>1000001=>1000001 [1,4,6,2,7,3,5,8]=>1000001=>1000001 [4,1,6,2,3,7,8,5]=>0000000=>0000000 [4,1,2,6,3,7,8,5]=>0000000=>0000000 [1,4,6,2,3,7,8,5]=>1000000=>0000001 [1,4,6,2,7,3,8,5]=>1000000=>0000001 [1,4,2,6,7,8,3,5]=>1000000=>0000001 [1,4,6,2,7,8,3,5]=>1000000=>0000001 [1,4,6,7,2,8,3,5]=>1000000=>0000001 [4,1,6,2,8,3,5,7]=>0000000=>0000000 [4,6,1,2,8,3,5,7]=>0000000=>0000000 [4,1,6,8,2,3,5,7]=>0000000=>0000000 [4,6,1,8,2,3,5,7]=>0000000=>0000000 [4,6,1,2,3,8,5,7]=>0000000=>0000000 [4,1,2,6,3,8,5,7]=>0000000=>0000000 [1,4,2,6,3,8,5,7]=>1000000=>0000001 [1,4,6,2,3,8,5,7]=>1000000=>0000001 [1,4,2,6,8,3,5,7]=>1000000=>0000001 [1,4,6,8,2,3,5,7]=>1000000=>0000001 [1,4,2,6,3,5,8,7]=>1000010=>0100001 [1,4,2,3,6,5,8,7]=>1001010=>0101001 [1,2,4,3,6,8,5,7]=>1101000=>0001011 [1,2,4,6,3,8,5,7]=>1100000=>0000011 [1,2,4,6,8,3,5,7]=>1100000=>0000011 [1,4,2,6,3,5,7,8]=>1000011=>1100001 [1,4,2,3,6,5,7,8]=>1001011=>1101001 [1,2,4,6,3,5,7,8]=>1100011=>1100011 [4,1,2,3,6,7,8,5]=>0001000=>0001000 [1,4,2,3,6,7,8,5]=>1001000=>0001001 [4,1,7,2,8,3,5,6]=>0000000=>0000000 [4,7,1,8,2,3,5,6]=>0000000=>0000000 [4,1,7,2,3,8,5,6]=>0000000=>0000000 [1,4,2,7,3,8,5,6]=>1000000=>0000001 [1,4,7,2,3,8,5,6]=>1000000=>0000001 [4,1,2,7,8,3,5,6]=>0000000=>0000000 [1,4,2,7,8,3,5,6]=>1000000=>0000001 [4,1,7,2,3,5,8,6]=>0000000=>0000000 [4,1,2,7,3,5,8,6]=>0000000=>0000000 [1,4,2,7,3,5,8,6]=>1000000=>0000001 [1,4,7,2,3,5,8,6]=>1000000=>0000001 [4,1,2,3,7,5,8,6]=>0001000=>0001000 [1,2,4,3,7,5,8,6]=>1101000=>0001011 [1,4,2,3,7,8,5,6]=>1001000=>0001001 [1,2,4,3,7,8,5,6]=>1101000=>0001011 [1,2,4,7,3,8,5,6]=>1100000=>0000011 [1,4,2,7,3,5,6,8]=>1000001=>1000001 [1,4,2,3,7,5,6,8]=>1001001=>1001001 [1,4,2,3,5,7,6,8]=>1001101=>1011001 [4,1,2,3,5,7,8,6]=>0001100=>0011000 [1,4,2,3,5,7,8,6]=>1001100=>0011001 [1,2,4,5,7,3,8,6]=>1100000=>0000011 [4,8,1,2,3,5,6,7]=>0000000=>0000000 [1,4,2,8,3,5,6,7]=>1000000=>0000001 [1,4,8,2,3,5,6,7]=>1000000=>0000001 [4,1,2,3,8,5,6,7]=>0001000=>0001000 [1,4,2,3,8,5,6,7]=>1001000=>0001001 [1,2,4,3,8,5,6,7]=>1101000=>0001011 [1,2,4,8,3,5,6,7]=>1100000=>0000011 [1,4,2,3,5,8,6,7]=>1001100=>0011001 [1,2,4,3,5,8,6,7]=>1101100=>0011011 [1,4,2,3,5,6,8,7]=>1001110=>0111001 [1,4,2,3,5,6,7,8]=>1001111=>1111001 [5,1,6,2,7,3,8,4]=>0000000=>0000000 [5,6,7,1,2,3,8,4]=>0000000=>0000000 [5,1,6,7,2,8,3,4]=>0000000=>0000000 [5,6,7,1,2,8,3,4]=>0000000=>0000000 [5,1,6,7,8,2,3,4]=>0000000=>0000000 [5,6,1,7,8,2,3,4]=>0000000=>0000000 [5,6,7,1,8,2,3,4]=>0000000=>0000000 [1,5,2,6,3,7,4,8]=>1000001=>1000001 [5,1,2,6,7,3,4,8]=>0000001=>1000000 [1,5,2,6,7,3,4,8]=>1000001=>1000001 [1,5,2,6,3,7,8,4]=>1000000=>0000001 [1,5,6,2,3,7,8,4]=>1000000=>0000001 [1,5,6,7,2,3,8,4]=>1000000=>0000001 [1,5,6,7,8,2,3,4]=>1000000=>0000001 [5,1,6,2,8,3,4,7]=>0000000=>0000000 [5,6,8,1,2,3,4,7]=>0000000=>0000000 [5,1,6,2,3,8,4,7]=>0000000=>0000000 [5,6,1,2,3,8,4,7]=>0000000=>0000000 [5,1,2,6,3,8,4,7]=>0000000=>0000000 [1,5,2,6,3,8,4,7]=>1000000=>0000001 [1,5,6,2,3,8,4,7]=>1000000=>0000001 [5,1,2,6,8,3,4,7]=>0000000=>0000000 [1,5,2,6,8,3,4,7]=>1000000=>0000001 [1,5,6,2,8,3,4,7]=>1000000=>0000001 [1,5,2,6,3,4,8,7]=>1000010=>0100001 [1,5,6,2,3,4,8,7]=>1000010=>0100001 [1,5,2,3,6,4,8,7]=>1000010=>0100001 [1,2,5,3,6,4,8,7]=>1100010=>0100011 [1,2,5,6,3,4,8,7]=>1100010=>0100011 [5,1,2,3,6,8,4,7]=>0000000=>0000000 [1,5,2,3,6,8,4,7]=>1000000=>0000001 [1,2,5,6,3,8,4,7]=>1100000=>0000011 [1,2,5,6,8,3,4,7]=>1100000=>0000011 [5,1,2,6,3,4,7,8]=>0000011=>1100000 [1,5,2,6,3,4,7,8]=>1000011=>1100001 [1,2,5,6,3,4,7,8]=>1100011=>1100011 [1,2,5,6,3,7,4,8]=>1100001=>1000011 [5,1,2,3,6,7,8,4]=>0000000=>0000000 [1,5,2,3,6,7,8,4]=>1000000=>0000001 [1,2,5,3,6,7,8,4]=>1100000=>0000011 [1,2,5,6,3,7,8,4]=>1100000=>0000011 [5,1,7,2,8,3,4,6]=>0000000=>0000000 [5,7,1,2,8,3,4,6]=>0000000=>0000000 [5,7,8,1,2,3,4,6]=>0000000=>0000000 [5,1,2,7,3,8,4,6]=>0000000=>0000000 [1,5,2,7,3,8,4,6]=>1000000=>0000001 [1,5,7,2,3,8,4,6]=>1000000=>0000001 [5,1,2,7,8,3,4,6]=>0000000=>0000000 [1,5,2,7,8,3,4,6]=>1000000=>0000001 [1,5,7,2,8,3,4,6]=>1000000=>0000001 [5,1,2,7,3,4,8,6]=>0000000=>0000000 [1,5,2,7,3,4,8,6]=>1000000=>0000001 [1,5,7,2,3,4,8,6]=>1000000=>0000001 [5,1,2,3,7,4,8,6]=>0000000=>0000000 [1,5,2,3,7,4,8,6]=>1000000=>0000001 [1,2,5,3,7,4,8,6]=>1100000=>0000011 [1,2,5,7,3,4,8,6]=>1100000=>0000011 [5,1,2,3,7,8,4,6]=>0000000=>0000000 [1,5,2,3,7,8,4,6]=>1000000=>0000001 [1,2,5,3,7,8,4,6]=>1100000=>0000011 [1,2,5,7,3,8,4,6]=>1100000=>0000011 [1,2,5,7,8,3,4,6]=>1100000=>0000011 [5,7,1,2,3,4,6,8]=>0000001=>1000000 [1,5,2,7,3,4,6,8]=>1000001=>1000001 [1,2,5,7,3,4,6,8]=>1100001=>1000011 [1,5,2,3,4,7,6,8]=>1000101=>1010001 [1,2,3,5,7,4,6,8]=>1110001=>1000111 [1,5,2,3,4,7,8,6]=>1000100=>0010001 [1,2,3,5,7,4,8,6]=>1110000=>0000111 [1,2,3,5,7,8,4,6]=>1110000=>0000111 [5,1,2,8,3,4,6,7]=>0000000=>0000000 [1,5,2,8,3,4,6,7]=>1000000=>0000001 [1,5,2,3,8,4,6,7]=>1000000=>0000001 [1,2,5,3,8,4,6,7]=>1100000=>0000011 [1,2,5,8,3,4,6,7]=>1100000=>0000011 [1,5,2,3,4,8,6,7]=>1000100=>0010001 [1,2,5,3,4,8,6,7]=>1100100=>0010011 [1,2,3,5,4,8,6,7]=>1110100=>0010111 [1,2,3,5,8,4,6,7]=>1110000=>0000111 [1,5,2,3,4,6,8,7]=>1000110=>0110001 [1,2,3,5,6,8,4,7]=>1110000=>0000111 [1,5,2,3,4,6,7,8]=>1000111=>1110001 [6,1,7,2,8,3,4,5]=>0000000=>0000000 [6,1,7,8,2,3,4,5]=>0000000=>0000000 [6,7,1,8,2,3,4,5]=>0000000=>0000000 [6,7,1,2,3,8,4,5]=>0000000=>0000000 [1,6,2,7,3,8,4,5]=>1000000=>0000001 [1,6,7,2,3,8,4,5]=>1000000=>0000001 [1,6,7,2,8,3,4,5]=>1000000=>0000001 [1,6,7,8,2,3,4,5]=>1000000=>0000001 [6,1,2,7,3,4,8,5]=>0000000=>0000000 [1,6,2,7,3,4,8,5]=>1000000=>0000001 [1,6,7,2,3,4,8,5]=>1000000=>0000001 [1,6,2,3,7,4,8,5]=>1000000=>0000001 [1,2,6,3,7,4,8,5]=>1100000=>0000011 [1,2,6,7,3,4,8,5]=>1100000=>0000011 [1,2,6,7,3,8,4,5]=>1100000=>0000011 [1,2,6,7,8,3,4,5]=>1100000=>0000011 [6,1,7,2,3,4,5,8]=>0000001=>1000000 [1,6,2,7,3,4,5,8]=>1000001=>1000001 [1,6,7,2,3,4,5,8]=>1000001=>1000001 [1,6,2,3,4,7,5,8]=>1000001=>1000001 [1,2,6,3,4,7,5,8]=>1100001=>1000011 [1,2,3,6,4,7,5,8]=>1110001=>1000111 [1,2,6,3,4,7,8,5]=>1100000=>0000011 [1,2,3,6,4,7,8,5]=>1110000=>0000111 [1,2,3,6,7,4,8,5]=>1110000=>0000111 [1,2,3,6,7,8,4,5]=>1110000=>0000111 [6,1,8,2,3,4,5,7]=>0000000=>0000000 [6,1,2,8,3,4,5,7]=>0000000=>0000000 [1,6,2,8,3,4,5,7]=>1000000=>0000001 [1,6,8,2,3,4,5,7]=>1000000=>0000001 [1,6,2,3,8,4,5,7]=>1000000=>0000001 [1,2,6,3,8,4,5,7]=>1100000=>0000011 [1,6,2,3,4,8,5,7]=>1000000=>0000001 [1,2,6,3,4,8,5,7]=>1100000=>0000011 [1,2,3,6,4,8,5,7]=>1110000=>0000111 [1,6,2,3,4,5,8,7]=>1000010=>0100001 [1,2,6,3,4,5,8,7]=>1100010=>0100011 [1,2,3,6,4,5,8,7]=>1110010=>0100111 [1,2,3,4,6,8,5,7]=>1111000=>0001111 [1,6,2,3,4,5,7,8]=>1000011=>1100001 [1,2,6,3,4,5,7,8]=>1100011=>1100011 [1,2,3,6,4,5,7,8]=>1110011=>1100111 [7,1,2,8,3,4,5,6]=>0000000=>0000000 [1,7,2,8,3,4,5,6]=>1000000=>0000001 [1,7,8,2,3,4,5,6]=>1000000=>0000001 [1,2,7,8,3,4,5,6]=>1100000=>0000011 [1,2,7,3,4,8,5,6]=>1100000=>0000011 [1,2,3,7,4,8,5,6]=>1110000=>0000111 [1,2,3,7,8,4,5,6]=>1110000=>0000111 [1,2,7,3,4,5,8,6]=>1100000=>0000011 [1,2,3,7,4,5,8,6]=>1110000=>0000111 [1,2,3,4,7,5,8,6]=>1111000=>0001111 [1,2,3,4,7,8,5,6]=>1111000=>0001111 [1,2,7,3,4,5,6,8]=>1100001=>1000011 [1,2,3,7,4,5,6,8]=>1110001=>1000111 [1,2,3,4,7,5,6,8]=>1111001=>1001111 [1,8,2,3,4,5,6,7]=>1000000=>0000001 [1,2,8,3,4,5,6,7]=>1100000=>0000011 [1,2,3,8,4,5,6,7]=>1110000=>0000111 [1,2,3,4,8,5,6,7]=>1111000=>0001111 [1,2,3,4,5,8,6,7]=>1111100=>0011111 [5,3,2,6,1,4,8,7]=>0000010=>0100000 [7,3,2,5,4,8,1,6]=>0000000=>0000000 [8,4,5,2,3,7,6,1]=>0000000=>0000000 [7,4,5,2,3,8,1,6]=>0000000=>0000000 [6,4,5,2,3,1,8,7]=>0000010=>0100000 [5,4,6,2,1,3,8,7]=>0000010=>0100000 [3,6,1,5,4,2,8,7]=>0000010=>0100000 [4,6,5,1,3,2,8,7]=>0000010=>0100000 [5,6,4,3,1,2,8,7]=>0000010=>0100000 [7,5,4,3,2,8,1,6]=>0000000=>0000000 [8,6,4,3,7,2,5,1]=>0000000=>0000000 [7,6,4,3,8,2,1,5]=>0000000=>0000000 [6,7,4,3,8,1,2,5]=>0000000=>0000000 [5,7,4,3,1,8,2,6]=>0000000=>0000000 [4,7,5,1,3,8,2,6]=>0000000=>0000000 [3,7,1,5,4,8,2,6]=>0000000=>0000000 [2,1,7,5,4,8,3,6]=>0100000=>0000010 [3,8,1,5,4,7,6,2]=>0000000=>0000000 [4,8,5,1,3,7,6,2]=>0000000=>0000000 [5,8,4,3,1,7,6,2]=>0000000=>0000000 [6,8,4,3,7,1,5,2]=>0000000=>0000000 [7,8,4,3,6,5,1,2]=>0000000=>0000000 [6,8,5,7,3,1,4,2]=>0000000=>0000000 [5,8,6,7,1,3,4,2]=>0000000=>0000000 [4,8,6,1,7,3,5,2]=>0000000=>0000000 [3,8,1,6,7,4,5,2]=>0000000=>0000000 [2,1,8,6,7,4,5,3]=>0100000=>0000010 [2,1,7,6,8,4,3,5]=>0100000=>0000010 [3,7,1,6,8,4,2,5]=>0000000=>0000000 [4,7,6,1,8,3,2,5]=>0000000=>0000000 [5,7,6,8,1,3,2,4]=>0000000=>0000000 [5,4,7,2,1,8,3,6]=>0000000=>0000000 [6,4,7,2,8,1,3,5]=>0000000=>0000000 [7,4,6,2,8,3,1,5]=>0000000=>0000000 [8,4,6,2,7,3,5,1]=>0000000=>0000000 [8,3,2,6,7,4,5,1]=>0000000=>0000000 [7,3,2,6,8,4,1,5]=>0000000=>0000000 [6,3,2,7,8,1,4,5]=>0000000=>0000000 [5,3,2,7,1,8,4,6]=>0000000=>0000000 [4,3,2,1,7,8,5,6]=>0001000=>0001000 [3,4,1,2,8,7,6,5]=>0001000=>0001000 [5,3,2,8,1,7,6,4]=>0000000=>0000000 [6,3,2,8,7,1,5,4]=>0000000=>0000000 [7,3,2,8,6,5,1,4]=>0000000=>0000000 [8,4,7,2,6,5,3,1]=>0000000=>0000000 [7,4,8,2,6,5,1,3]=>0000000=>0000000 [6,4,8,2,7,1,5,3]=>0000000=>0000000 [5,4,8,2,1,7,6,3]=>0000000=>0000000 [4,5,8,1,2,7,6,3]=>0000000=>0000000 [3,5,1,8,2,7,6,4]=>0000000=>0000000 [2,1,5,8,3,7,6,4]=>0100000=>0000010 [2,1,6,8,7,3,5,4]=>0100000=>0000010 [3,6,1,8,7,2,5,4]=>0000000=>0000000 [4,6,8,1,7,2,5,3]=>0000000=>0000000 [5,6,8,7,1,2,4,3]=>0000000=>0000000 [6,5,8,7,2,1,4,3]=>0000000=>0000000 [7,5,8,6,2,4,1,3]=>0000000=>0000000 [8,5,7,6,2,4,3,1]=>0000000=>0000000 [5,7,8,6,1,4,2,3]=>0000000=>0000000 [4,7,8,1,6,5,2,3]=>0000000=>0000000 [3,7,1,8,6,5,2,4]=>0000000=>0000000 [2,1,7,8,6,5,3,4]=>0100000=>0000010 [3,8,1,7,6,5,4,2]=>0000000=>0000000 [4,8,7,1,6,5,3,2]=>0000000=>0000000 [5,8,7,6,1,4,3,2]=>0000000=>0000000 [6,8,7,5,4,1,3,2]=>0000000=>0000000 [3,2,5,1,4,6,7,8]=>0000111=>1110000 [5,2,4,1,3,6,7,8]=>0000111=>1110000 [3,2,6,1,4,5,7,8]=>0000011=>1100000 [5,4,7,1,2,3,6,8]=>0000001=>1000000 [6,2,7,1,3,4,5,8]=>0000001=>1000000 [6,3,7,1,2,4,5,8]=>0000001=>1000000 [6,4,7,1,2,3,5,8]=>0000001=>1000000 [7,4,6,1,2,3,5,8]=>0000001=>1000000 [3,2,8,1,4,5,6,7]=>0000000=>0000000 [5,4,8,1,2,3,6,7]=>0000000=>0000000 [6,5,8,1,2,3,4,7]=>0000000=>0000000 [7,5,8,1,2,3,4,6]=>0000000=>0000000 [8,5,7,1,2,3,4,6]=>0000000=>0000000 [3,2,5,7,1,4,6,8]=>0000001=>1000000 [4,2,6,7,1,3,5,8]=>0000001=>1000000 [5,2,6,7,1,3,4,8]=>0000001=>1000000 [5,3,6,7,1,2,4,8]=>0000001=>1000000 [3,2,5,8,1,4,6,7]=>0000000=>0000000 [4,2,5,8,1,3,6,7]=>0000000=>0000000 [4,3,5,8,1,2,6,7]=>0000000=>0000000 [5,2,4,8,1,3,6,7]=>0000000=>0000000 [3,2,6,8,1,4,5,7]=>0000000=>0000000 [5,2,6,8,1,3,4,7]=>0000000=>0000000 [6,2,4,8,1,3,5,7]=>0000000=>0000000 [6,2,5,8,1,3,4,7]=>0000000=>0000000 [3,2,7,8,1,4,5,6]=>0000000=>0000000 [4,3,7,8,1,2,5,6]=>0000000=>0000000 [5,4,7,8,1,2,3,6]=>0000000=>0000000 [6,2,7,8,1,3,4,5]=>0000000=>0000000 [6,3,7,8,1,2,4,5]=>0000000=>0000000 [6,4,7,8,1,2,3,5]=>0000000=>0000000 [7,2,4,8,1,3,5,6]=>0000000=>0000000 [7,4,5,8,1,2,3,6]=>0000000=>0000000 [8,2,6,7,1,3,4,5]=>0000000=>0000000 [8,4,6,7,1,2,3,5]=>0000000=>0000000 [4,6,2,5,1,3,7,8]=>0000011=>1100000 [4,6,3,5,1,2,7,8]=>0000011=>1100000 [5,6,2,4,1,3,7,8]=>0000011=>1100000 [4,7,3,5,1,2,6,8]=>0000001=>1000000 [5,7,2,4,1,3,6,8]=>0000001=>1000000 [3,7,2,6,1,4,5,8]=>0000001=>1000000 [5,7,2,6,1,3,4,8]=>0000001=>1000000 [6,7,2,5,1,3,4,8]=>0000001=>1000000 [4,8,2,5,1,3,6,7]=>0000000=>0000000 [5,8,3,4,1,2,6,7]=>0000000=>0000000 [5,8,3,6,1,2,4,7]=>0000000=>0000000 [6,8,3,5,1,2,4,7]=>0000000=>0000000 [3,8,2,7,1,4,5,6]=>0000000=>0000000 [4,8,2,7,1,3,5,6]=>0000000=>0000000 [4,8,3,7,1,2,5,6]=>0000000=>0000000 [5,8,2,7,1,3,4,6]=>0000000=>0000000 [6,8,2,7,1,3,4,5]=>0000000=>0000000 [6,8,3,7,1,2,4,5]=>0000000=>0000000 [6,8,5,7,1,2,3,4]=>0000000=>0000000 [7,8,2,4,1,3,5,6]=>0000000=>0000000 [7,8,2,5,1,3,4,6]=>0000000=>0000000 [7,8,4,6,1,2,3,5]=>0000000=>0000000 [4,3,2,6,1,5,7,8]=>0000011=>1100000 [5,3,2,6,1,4,7,8]=>0000011=>1100000 [5,4,2,6,1,3,7,8]=>0000011=>1100000 [4,3,2,7,1,5,6,8]=>0000001=>1000000 [5,3,2,7,1,4,6,8]=>0000001=>1000000 [5,4,3,7,1,2,6,8]=>0000001=>1000000 [6,3,2,7,1,4,5,8]=>0000001=>1000000 [6,4,2,7,1,3,5,8]=>0000001=>1000000 [6,4,3,7,1,2,5,8]=>0000001=>1000000 [6,5,3,7,1,2,4,8]=>0000001=>1000000 [7,4,2,5,1,3,6,8]=>0000001=>1000000 [7,4,3,6,1,2,5,8]=>0000001=>1000000 [7,5,2,6,1,3,4,8]=>0000001=>1000000 [7,5,3,6,1,2,4,8]=>0000001=>1000000 [7,6,3,5,1,2,4,8]=>0000001=>1000000 [4,3,2,8,1,5,6,7]=>0000000=>0000000 [5,3,2,8,1,4,6,7]=>0000000=>0000000 [5,4,3,8,1,2,6,7]=>0000000=>0000000 [6,3,2,8,1,4,5,7]=>0000000=>0000000 [6,4,3,8,1,2,5,7]=>0000000=>0000000 [6,5,2,8,1,3,4,7]=>0000000=>0000000 [6,5,3,8,1,2,4,7]=>0000000=>0000000 [7,4,2,8,1,3,5,6]=>0000000=>0000000 [7,5,3,8,1,2,4,6]=>0000000=>0000000 [7,6,2,8,1,3,4,5]=>0000000=>0000000 [8,4,2,5,1,3,6,7]=>0000000=>0000000 [8,4,2,6,1,3,5,7]=>0000000=>0000000 [8,5,3,6,1,2,4,7]=>0000000=>0000000 [8,6,2,5,1,3,4,7]=>0000000=>0000000 [8,4,2,7,1,3,5,6]=>0000000=>0000000 [8,4,3,7,1,2,5,6]=>0000000=>0000000 [8,5,2,7,1,3,4,6]=>0000000=>0000000 [8,5,3,7,1,2,4,6]=>0000000=>0000000 [8,7,2,4,1,3,5,6]=>0000000=>0000000 [8,7,2,5,1,3,4,6]=>0000000=>0000000 [8,7,3,5,1,2,4,6]=>0000000=>0000000 [8,7,2,6,1,3,4,5]=>0000000=>0000000 [8,7,3,6,1,2,4,5]=>0000000=>0000000 [8,7,4,6,1,2,3,5]=>0000000=>0000000 [5,6,2,4,8,1,3,7]=>0000000=>0000000 [4,7,3,5,8,1,2,6]=>0000000=>0000000 [4,7,3,6,8,1,2,5]=>0000000=>0000000 [4,8,3,5,7,1,2,6]=>0000000=>0000000 [7,8,2,4,6,1,3,5]=>0000000=>0000000 [7,8,3,4,6,1,2,5]=>0000000=>0000000 [7,8,2,5,6,1,3,4]=>0000000=>0000000 [7,8,3,5,6,1,2,4]=>0000000=>0000000 [4,3,2,6,8,1,5,7]=>0000000=>0000000 [5,4,2,6,8,1,3,7]=>0000000=>0000000 [5,4,3,6,8,1,2,7]=>0000000=>0000000 [6,3,2,5,8,1,4,7]=>0000000=>0000000 [6,5,2,4,8,1,3,7]=>0000000=>0000000 [4,3,2,7,8,1,5,6]=>0000000=>0000000 [5,3,2,7,8,1,4,6]=>0000000=>0000000 [5,4,2,7,8,1,3,6]=>0000000=>0000000 [5,4,3,7,8,1,2,6]=>0000000=>0000000 [6,4,2,7,8,1,3,5]=>0000000=>0000000 [6,4,3,7,8,1,2,5]=>0000000=>0000000 [6,5,2,7,8,1,3,4]=>0000000=>0000000 [8,4,2,5,7,1,3,6]=>0000000=>0000000 [8,5,2,6,7,1,3,4]=>0000000=>0000000 [8,5,3,6,7,1,2,4]=>0000000=>0000000 [8,6,2,5,7,1,3,4]=>0000000=>0000000 [8,6,3,5,7,1,2,4]=>0000000=>0000000 [8,7,2,4,6,1,3,5]=>0000000=>0000000 [8,7,3,4,6,1,2,5]=>0000000=>0000000 [8,7,2,5,6,1,3,4]=>0000000=>0000000 [4,3,7,2,6,1,5,8]=>0000001=>1000000 [5,3,7,2,6,1,4,8]=>0000001=>1000000 [5,4,7,2,6,1,3,8]=>0000001=>1000000 [6,3,7,2,5,1,4,8]=>0000001=>1000000 [6,4,7,2,5,1,3,8]=>0000001=>1000000 [7,3,6,2,5,1,4,8]=>0000001=>1000000 [4,3,8,2,6,1,5,7]=>0000000=>0000000 [5,3,8,2,6,1,4,7]=>0000000=>0000000 [5,4,8,2,6,1,3,7]=>0000000=>0000000 [6,4,8,2,5,1,3,7]=>0000000=>0000000 [6,4,8,3,5,1,2,7]=>0000000=>0000000 [4,3,8,2,7,1,5,6]=>0000000=>0000000 [5,4,8,2,7,1,3,6]=>0000000=>0000000 [6,4,8,2,7,1,3,5]=>0000000=>0000000 [7,3,8,2,5,1,4,6]=>0000000=>0000000 [7,4,8,3,5,1,2,6]=>0000000=>0000000 [7,5,8,2,4,1,3,6]=>0000000=>0000000 [7,5,8,2,6,1,3,4]=>0000000=>0000000 [7,5,8,4,6,1,2,3]=>0000000=>0000000 [8,3,6,2,5,1,4,7]=>0000000=>0000000 [8,4,6,2,5,1,3,7]=>0000000=>0000000 [8,3,7,2,5,1,4,6]=>0000000=>0000000 [8,4,7,3,5,1,2,6]=>0000000=>0000000 [8,3,7,2,6,1,4,5]=>0000000=>0000000 [8,4,7,2,6,1,3,5]=>0000000=>0000000 [8,4,7,3,6,1,2,5]=>0000000=>0000000 [8,5,7,2,6,1,3,4]=>0000000=>0000000 [8,6,7,2,4,1,3,5]=>0000000=>0000000 [8,6,7,2,5,1,3,4]=>0000000=>0000000 [5,4,3,2,7,1,6,8]=>0000001=>1000000 [6,5,3,2,7,1,4,8]=>0000001=>1000000 [7,5,3,2,6,1,4,8]=>0000001=>1000000 [5,4,3,2,8,1,6,7]=>0000000=>0000000 [6,5,3,2,8,1,4,7]=>0000000=>0000000 [7,5,3,2,8,1,4,6]=>0000000=>0000000 [7,6,4,3,8,1,2,5]=>0000000=>0000000 [8,5,3,2,6,1,4,7]=>0000000=>0000000 [8,5,4,2,6,1,3,7]=>0000000=>0000000 [8,5,3,2,7,1,4,6]=>0000000=>0000000 [8,6,3,2,7,1,4,5]=>0000000=>0000000 [8,7,5,2,6,1,3,4]=>0000000=>0000000 [8,7,6,2,4,1,3,5]=>0000000=>0000000 [4,8,3,7,2,6,1,5]=>0000000=>0000000 [5,8,3,7,2,6,1,4]=>0000000=>0000000 [5,8,4,7,2,6,1,3]=>0000000=>0000000 [5,8,4,7,3,6,1,2]=>0000000=>0000000 [6,8,3,7,2,5,1,4]=>0000000=>0000000 [6,8,4,7,2,5,1,3]=>0000000=>0000000 [6,8,4,7,3,5,1,2]=>0000000=>0000000 [6,8,5,7,2,4,1,3]=>0000000=>0000000 [6,8,5,7,3,4,1,2]=>0000000=>0000000 [7,8,3,6,2,5,1,4]=>0000000=>0000000 [7,8,4,6,2,5,1,3]=>0000000=>0000000 [7,8,4,6,3,5,1,2]=>0000000=>0000000 [7,8,5,6,2,4,1,3]=>0000000=>0000000 [6,4,3,8,2,7,1,5]=>0000000=>0000000 [7,5,3,8,2,6,1,4]=>0000000=>0000000 [7,5,4,8,2,6,1,3]=>0000000=>0000000 [7,6,3,8,2,5,1,4]=>0000000=>0000000 [7,6,4,8,2,5,1,3]=>0000000=>0000000 [7,6,5,8,2,4,1,3]=>0000000=>0000000 [8,5,3,7,2,6,1,4]=>0000000=>0000000 [8,6,4,7,2,5,1,3]=>0000000=>0000000 [8,6,4,7,3,5,1,2]=>0000000=>0000000 [8,6,5,7,2,4,1,3]=>0000000=>0000000 [6,5,4,3,2,8,1,7]=>0000000=>0000000 [8,7,6,3,2,5,1,4]=>0000000=>0000000 [8,7,6,5,2,4,1,3]=>0000000=>0000000 [6,1,2,5,3,8,4,7]=>0000000=>0000000 [4,1,2,8,7,3,5,6]=>0000000=>0000000 [4,1,2,7,6,3,8,5]=>0000000=>0000000 [8,1,2,5,6,3,4,7]=>0000000=>0000000 [8,1,2,7,6,3,4,5]=>0000000=>0000000 [7,1,2,5,6,3,8,4]=>0000000=>0000000 [8,1,2,5,6,7,3,4]=>0000000=>0000000 [3,1,7,2,6,4,8,5]=>0000000=>0000000 [3,1,8,2,6,7,4,5]=>0000000=>0000000 [6,1,4,2,3,8,5,7]=>0000000=>0000000 [7,1,5,2,3,4,8,6]=>0000000=>0000000 [6,1,5,2,3,8,4,7]=>0000000=>0000000 [6,1,5,2,3,7,8,4]=>0000000=>0000000 [5,1,4,2,8,3,6,7]=>0000000=>0000000 [5,1,4,2,7,3,8,6]=>0000000=>0000000 [7,1,4,2,6,3,8,5]=>0000000=>0000000 [8,1,5,2,7,3,4,6]=>0000000=>0000000 [5,1,4,2,8,7,3,6]=>0000000=>0000000 [8,1,4,2,6,7,3,5]=>0000000=>0000000 [8,1,5,2,6,7,3,4]=>0000000=>0000000 [5,1,4,2,6,7,8,3]=>0000000=>0000000 [3,1,8,6,2,4,5,7]=>0000000=>0000000 [3,1,8,5,2,7,4,6]=>0000000=>0000000 [3,1,8,6,2,7,4,5]=>0000000=>0000000 [8,1,4,5,2,3,6,7]=>0000000=>0000000 [7,1,8,6,2,3,4,5]=>0000000=>0000000 [7,1,6,5,2,3,8,4]=>0000000=>0000000 [3,1,4,8,6,2,5,7]=>0000000=>0000000 [3,1,7,5,6,2,8,4]=>0000000=>0000000 [8,1,4,7,6,2,3,5]=>0000000=>0000000 [3,1,8,5,6,7,2,4]=>0000000=>0000000 [8,1,4,5,6,7,2,3]=>0000000=>0000000 [2,8,1,3,6,7,4,5]=>0000000=>0000000 [2,4,1,8,3,7,5,6]=>0000000=>0000000 [2,6,1,5,3,8,4,7]=>0000000=>0000000 [2,6,1,5,3,7,8,4]=>0000000=>0000000 [2,8,1,7,6,3,4,5]=>0000000=>0000000 [5,3,1,2,8,4,6,7]=>0000000=>0000000 [5,3,1,2,8,7,4,6]=>0000000=>0000000 [5,4,1,2,8,3,6,7]=>0000000=>0000000 [7,4,1,2,6,3,8,5]=>0000000=>0000000 [5,8,1,2,7,3,4,6]=>0000000=>0000000 [8,7,1,2,6,3,4,5]=>0000000=>0000000 [5,7,1,2,6,3,8,4]=>0000000=>0000000 [8,4,1,2,6,7,3,5]=>0000000=>0000000 [5,8,1,2,6,7,3,4]=>0000000=>0000000 [5,4,1,2,6,7,8,3]=>0000000=>0000000 [4,3,1,6,2,8,5,7]=>0000000=>0000000 [4,3,1,6,2,7,8,5]=>0000000=>0000000 [8,3,1,5,2,4,6,7]=>0000000=>0000000 [8,3,1,6,2,4,5,7]=>0000000=>0000000 [7,3,1,6,2,4,8,5]=>0000000=>0000000 [8,3,1,6,2,7,4,5]=>0000000=>0000000 [6,3,1,5,2,7,8,4]=>0000000=>0000000 [7,4,1,5,2,3,8,6]=>0000000=>0000000 [8,4,1,6,2,3,5,7]=>0000000=>0000000 [7,4,1,8,2,3,5,6]=>0000000=>0000000 [7,4,1,6,2,3,8,5]=>0000000=>0000000 [8,7,1,6,2,3,4,5]=>0000000=>0000000 [6,7,1,5,2,3,8,4]=>0000000=>0000000 [6,8,1,5,2,7,3,4]=>0000000=>0000000 [6,4,1,5,2,7,8,3]=>0000000=>0000000 [4,3,1,8,7,2,5,6]=>0000000=>0000000 [8,3,1,5,6,2,4,7]=>0000000=>0000000 [8,3,1,5,7,2,4,6]=>0000000=>0000000 [7,3,1,5,6,2,8,4]=>0000000=>0000000 [7,8,1,5,6,2,3,4]=>0000000=>0000000 [8,4,1,5,6,7,2,3]=>0000000=>0000000 [2,3,7,1,6,4,8,5]=>0000000=>0000000 [2,3,5,1,8,7,4,6]=>0000000=>0000000 [2,8,4,1,3,5,6,7]=>0000000=>0000000 [2,6,4,1,3,7,8,5]=>0000000=>0000000 [2,6,5,1,3,7,8,4]=>0000000=>0000000 [2,7,4,1,6,3,8,5]=>0000000=>0000000 [2,8,5,1,7,3,4,6]=>0000000=>0000000 [2,7,5,1,6,3,8,4]=>0000000=>0000000 [6,3,4,1,2,7,8,5]=>0000000=>0000000 [7,3,5,1,2,4,8,6]=>0000000=>0000000 [6,3,7,1,2,4,8,5]=>0000000=>0000000 [6,3,8,1,2,7,4,5]=>0000000=>0000000 [6,7,4,1,2,3,8,5]=>0000000=>0000000 [6,8,5,1,2,3,4,7]=>0000000=>0000000 [8,5,4,1,2,7,3,6]=>0000000=>0000000 [6,8,4,1,2,7,3,5]=>0000000=>0000000 [6,8,5,1,2,7,3,4]=>0000000=>0000000 [8,3,4,1,7,2,5,6]=>0000000=>0000000 [8,3,5,1,6,2,4,7]=>0000000=>0000000 [7,3,8,1,6,2,4,5]=>0000000=>0000000 [8,5,4,1,6,2,3,7]=>0000000=>0000000 [7,8,4,1,6,2,3,5]=>0000000=>0000000 [7,8,5,1,6,2,3,4]=>0000000=>0000000 [5,3,4,1,6,7,8,2]=>0000000=>0000000 [2,3,7,6,1,4,8,5]=>0000000=>0000000 [2,3,6,5,1,8,4,7]=>0000000=>0000000 [2,3,6,5,1,7,8,4]=>0000000=>0000000 [2,7,4,8,1,3,5,6]=>0000000=>0000000 [2,7,4,6,1,3,8,5]=>0000000=>0000000 [2,7,6,5,1,3,8,4]=>0000000=>0000000 [2,6,4,5,1,8,3,7]=>0000000=>0000000 [2,8,4,6,1,7,3,5]=>0000000=>0000000 [7,3,8,5,1,2,4,6]=>0000000=>0000000 [8,6,4,5,1,7,2,3]=>0000000=>0000000 [2,3,8,5,7,1,4,6]=>0000000=>0000000 [2,3,7,5,6,1,8,4]=>0000000=>0000000 [2,8,4,7,6,1,3,5]=>0000000=>0000000 [2,8,7,5,6,1,3,4]=>0000000=>0000000 [8,3,7,5,6,1,2,4]=>0000000=>0000000 [2,8,4,5,6,7,1,3]=>0000000=>0000000 [6,5,8,7,3,4,1,2]=>0000000=>0000000 [4,6,7,3,8,5,1,2]=>0000000=>0000000 [3,6,7,4,5,8,1,2]=>0000000=>0000000 [2,6,7,4,5,1,8,3]=>0000000=>0000000 [1,6,7,4,5,2,3,8]=>1000001=>1000001 [1,5,4,7,6,2,3,8]=>1000001=>1000001 [2,5,4,7,6,1,8,3]=>0000000=>0000000 [3,5,4,7,6,8,1,2]=>0000000=>0000000 [4,5,3,7,8,6,1,2]=>0000000=>0000000 [5,4,3,8,7,6,1,2]=>0000000=>0000000 [6,4,8,3,7,5,1,2]=>0000000=>0000000 [6,3,8,4,5,7,1,2]=>0000000=>0000000 [5,3,4,8,6,7,1,2]=>0000000=>0000000 [4,3,5,6,8,7,1,2]=>0000000=>0000000 [3,2,5,6,1,8,7,4]=>0000000=>0000000 [4,2,5,6,8,1,7,3]=>0000000=>0000000 [5,2,4,8,6,1,7,3]=>0000000=>0000000 [6,2,8,4,5,1,7,3]=>0000000=>0000000 [7,8,2,4,5,1,6,3]=>0000000=>0000000 [7,8,1,4,5,2,3,6]=>0000000=>0000000 [6,1,8,4,5,2,3,7]=>0000000=>0000000 [5,1,4,8,6,2,3,7]=>0000000=>0000000 [4,1,3,2,8,6,5,7]=>0001000=>0001000 [5,1,3,8,2,6,4,7]=>0000000=>0000000 [6,1,8,3,2,5,4,7]=>0000000=>0000000 [7,8,1,3,2,5,4,6]=>0000000=>0000000 [7,8,2,3,1,5,6,4]=>0000000=>0000000 [6,2,8,3,1,5,7,4]=>0000000=>0000000 [5,2,3,8,1,6,7,4]=>0000000=>0000000 [6,3,8,2,1,7,5,4]=>0000000=>0000000 [7,8,3,2,1,6,5,4]=>0000000=>0000000 [7,8,4,2,6,1,5,3]=>0000000=>0000000 [5,4,2,8,7,1,6,3]=>0000000=>0000000 [4,5,2,7,8,1,6,3]=>0000000=>0000000 [3,5,2,7,1,8,6,4]=>0000000=>0000000 [2,5,3,7,1,6,8,4]=>0000000=>0000000 [1,5,3,7,2,6,4,8]=>1000001=>1000001 [1,6,7,3,2,5,4,8]=>1000001=>1000001 [2,6,7,3,1,5,8,4]=>0000000=>0000000 [3,6,7,2,1,8,5,4]=>0000000=>0000000 [4,6,7,2,8,1,5,3]=>0000000=>0000000 [5,6,7,8,2,1,4,3]=>0000000=>0000000 [7,8,5,6,2,1,4,3]=>0000000=>0000000 [6,5,8,7,1,2,3,4]=>0000000=>0000000 [5,4,1,8,7,2,3,6]=>0000000=>0000000 [6,4,8,1,7,2,3,5]=>0000000=>0000000 [7,8,3,1,2,6,4,5]=>0000000=>0000000 [5,3,1,8,2,7,4,6]=>0000000=>0000000 [4,3,1,2,8,7,5,6]=>0001000=>0001000 [4,2,1,3,8,5,7,6]=>0001000=>0001000 [5,2,1,8,3,4,7,6]=>0000000=>0000000 [6,2,8,1,3,4,7,5]=>0000000=>0000000 [7,8,2,1,3,4,6,5]=>0000000=>0000000 [4,5,2,3,7,6,1,8]=>0000001=>1000000 [6,4,3,7,2,5,1,8]=>0000001=>1000000 [8,4,3,6,5,1,2,7]=>0000000=>0000000 [1,5,6,3,4,8,7,2]=>1000000=>0000001 [4,6,2,7,3,5,1,8]=>0000001=>1000000 [3,2,6,7,4,5,1,8]=>0000001=>1000000 [4,1,2,6,5,8,7,3]=>0000000=>0000000 [5,1,6,2,4,8,7,3]=>0000000=>0000000 [8,1,5,4,7,6,2,3]=>0000000=>0000000 [1,8,6,7,4,5,3,2]=>1000000=>0000001 [8,1,6,7,4,5,2,3]=>0000000=>0000000 [6,1,7,8,2,4,5,3]=>0000000=>0000000 [5,1,7,2,8,4,6,3]=>0000000=>0000000 [4,1,2,7,8,5,6,3]=>0000000=>0000000 [3,2,1,7,8,5,6,4]=>0010000=>0000100 [4,8,2,7,1,5,3,6]=>0000000=>0000000 [5,8,7,2,1,4,3,6]=>0000000=>0000000 [6,8,7,1,2,4,3,5]=>0000000=>0000000 [8,7,6,1,4,3,2,5]=>0000000=>0000000 [1,6,7,8,3,4,5,2]=>1000000=>0000001 [7,6,8,1,3,2,4,5]=>0000000=>0000000 [5,7,8,2,1,3,4,6]=>0000000=>0000000 [4,7,2,8,1,3,5,6]=>0000000=>0000000 [3,2,6,8,4,1,5,7]=>0000000=>0000000 [4,6,2,8,3,1,5,7]=>0000000=>0000000 [5,6,8,2,3,1,4,7]=>0000000=>0000000 [7,5,8,3,1,2,4,6]=>0000000=>0000000 [1,5,7,3,8,4,6,2]=>1000000=>0000001 [1,4,3,7,8,5,6,2]=>1000000=>0000001 [6,4,3,8,2,1,5,7]=>0000000=>0000000 [4,5,2,3,8,1,6,7]=>0000000=>0000000 [3,2,5,4,8,1,6,7]=>0000000=>0000000 [4,5,2,3,1,8,7,6]=>0000100=>0010000 [6,4,3,1,2,8,7,5]=>0000000=>0000000 [7,4,3,1,8,2,6,5]=>0000000=>0000000 [8,4,3,1,7,6,2,5]=>0000000=>0000000 [1,5,8,3,7,6,4,2]=>1000000=>0000001 [7,5,1,3,8,2,6,4]=>0000000=>0000000 [5,6,1,2,3,8,7,4]=>0000000=>0000000 [4,6,2,1,3,8,7,5]=>0000000=>0000000 [3,2,6,1,4,8,7,5]=>0000000=>0000000 [3,2,7,1,8,4,6,5]=>0000000=>0000000 [5,7,1,2,8,3,6,4]=>0000000=>0000000 [6,7,1,8,2,3,5,4]=>0000000=>0000000 [7,6,1,8,3,2,5,4]=>0000000=>0000000 [8,7,1,6,5,3,2,4]=>0000000=>0000000 [7,8,1,6,5,2,3,4]=>0000000=>0000000 [6,8,1,7,2,5,3,4]=>0000000=>0000000 [5,8,1,2,7,6,3,4]=>0000000=>0000000 [3,2,8,1,7,6,4,5]=>0000000=>0000000 [4,1,2,8,7,6,5,3]=>0000000=>0000000 [5,1,8,2,7,6,4,3]=>0000000=>0000000 [6,1,8,7,2,5,4,3]=>0000000=>0000000 [8,1,7,6,5,4,2,3]=>0000000=>0000000 [3,2,5,4,7,1,8,6]=>0000000=>0000000 [4,2,5,3,6,1,8,7]=>0000010=>0100000 [4,3,5,2,7,1,8,6]=>0000000=>0000000 [4,1,5,3,7,2,8,6]=>0000000=>0000000 [2,1,5,4,7,3,8,6]=>0100000=>0000010 [4,3,6,5,7,1,8,2]=>0000000=>0000000 [4,1,6,3,7,5,8,2]=>0000000=>0000000 [2,1,6,4,7,3,8,5]=>0100000=>0000010 [3,1,6,4,7,2,8,5]=>0000000=>0000000 [4,1,6,3,7,2,8,5]=>0000000=>0000000 [5,2,6,3,7,1,8,4]=>0000000=>0000000 [4,2,6,1,7,3,8,5]=>0000000=>0000000 [4,2,6,3,7,1,8,5]=>0000000=>0000000 [3,2,6,4,7,1,8,5]=>0000000=>0000000 [3,2,6,1,7,4,8,5]=>0000000=>0000000 [3,1,4,2,7,6,8,5]=>0001000=>0001000 [3,2,6,1,7,5,8,4]=>0000000=>0000000 [4,2,6,1,7,5,8,3]=>0000000=>0000000 [4,1,6,2,7,5,8,3]=>0000000=>0000000 [5,4,6,2,7,1,8,3]=>0000000=>0000000 [3,1,6,5,7,2,8,4]=>0000000=>0000000 [4,1,6,5,7,3,8,2]=>0000000=>0000000 [8,6,1,3,4,2,5,7]=>0000000=>0000000 [8,3,5,2,1,6,4,7]=>0000000=>0000000 [8,6,3,5,2,4,1,7]=>0000000=>0000000 [8,3,7,5,2,4,6,1]=>0000000=>0000000 [2,4,5,7,3,1,8,6]=>0000000=>0000000 [8,2,4,6,5,3,1,7]=>0000000=>0000000 [8,1,2,4,5,6,3,7]=>0000000=>0000000 [8,2,5,1,3,6,4,7]=>0000000=>0000000 [8,1,5,6,4,3,2,7]=>0000000=>0000000 [8,5,7,4,3,2,6,1]=>0000000=>0000000 [8,5,7,4,2,1,6,3]=>0000000=>0000000 [1,7,4,8,6,3,5,2]=>1000000=>0000001 [8,4,7,6,3,5,2,1]=>0000000=>0000000 [4,8,1,6,7,3,5,2]=>0000000=>0000000 [3,6,4,1,8,7,5,2]=>0000000=>0000000 [8,2,6,1,4,7,5,3]=>0000000=>0000000 [3,7,6,5,8,2,1,4]=>0000000=>0000000 [3,6,8,5,7,2,4,1]=>0000000=>0000000 [2,1,6,5,7,8,3,4]=>0100000=>0000010 [5,2,7,1,3,8,4,6]=>0000000=>0000000 [5,3,1,7,8,2,4,6]=>0000000=>0000000 [3,7,2,6,4,8,1,5]=>0000000=>0000000 [3,2,6,1,4,7,8,5]=>0000000=>0000000 [5,3,7,2,1,8,4,6]=>0000000=>0000000 [4,7,3,2,1,5,8,6]=>0000000=>0000000 [1,7,3,4,2,5,8,6]=>1000000=>0000001 [4,7,2,1,3,5,8,6]=>0000000=>0000000 [8,7,6,1,3,4,2,5]=>0000000=>0000000 [8,5,7,3,2,1,6,4]=>0000000=>0000000 [8,7,6,3,5,2,4,1]=>0000000=>0000000 [2,7,4,8,1,6,5,3]=>0000000=>0000000 [4,6,8,2,1,7,5,3]=>0000000=>0000000 [8,5,3,7,1,6,2,4]=>0000000=>0000000 [8,5,7,2,1,3,6,4]=>0000000=>0000000 [4,6,1,8,7,2,5,3]=>0000000=>0000000 [8,1,2,5,6,7,4,3]=>0000000=>0000000 [8,2,6,5,7,4,1,3]=>0000000=>0000000 [1,7,2,5,8,6,4,3]=>1000000=>0000001 [3,7,8,1,6,5,2,4]=>0000000=>0000000 [8,7,6,3,5,1,4,2]=>0000000=>0000000 [8,4,7,6,5,1,3,2]=>0000000=>0000000 [8,7,1,5,6,4,3,2]=>0000000=>0000000 [8,1,6,7,5,4,3,2]=>0000000=>0000000 [3,2,5,1,6,8,4,7]=>0000000=>0000000 [3,6,2,5,4,8,1,7]=>0000000=>0000000 [3,5,2,4,7,1,8,6]=>0000000=>0000000 [3,5,8,2,4,7,6,1]=>0000000=>0000000 [4,2,6,5,3,8,1,7]=>0000000=>0000000 [5,3,1,6,8,2,4,7]=>0000000=>0000000 [5,6,2,8,1,3,4,7]=>0000000=>0000000 [5,4,3,2,7,1,8,6]=>0000000=>0000000 [5,4,3,8,2,7,6,1]=>0000000=>0000000 [4,3,6,2,8,7,5,1]=>0000000=>0000000 [6,4,3,1,7,2,8,5]=>0000000=>0000000 [1,4,7,5,8,3,2,6]=>1000000=>0000001 [2,8,5,7,4,6,1,3]=>0000000=>0000000 [3,5,8,7,1,4,6,2]=>0000000=>0000000 [4,3,7,1,8,6,5,2]=>0000000=>0000000 [4,8,3,7,6,5,2,1]=>0000000=>0000000 [7,5,3,1,8,6,4,2]=>0000000=>0000000 [1,5,8,6,3,7,4,2]=>1000000=>0000001 [6,2,8,7,4,5,1,3]=>0000000=>0000000 [6,1,7,5,3,2,8,4]=>0000000=>0000000 [6,5,2,1,7,3,8,4]=>0000000=>0000000 [6,1,7,4,2,8,3,5]=>0000000=>0000000 [6,7,2,1,8,3,4,5]=>0000000=>0000000 [7,5,8,2,1,3,4,6]=>0000000=>0000000 [5,7,3,1,8,2,4,6]=>0000000=>0000000 [4,7,1,5,2,8,3,6]=>0000000=>0000000 [2,4,8,6,3,7,5,1]=>0000000=>0000000 [3,5,2,7,1,8,4,6]=>0000000=>0000000 [4,3,7,8,2,1,5,6]=>0000000=>0000000 [8,3,7,1,4,6,2,5]=>0000000=>0000000 [3,8,2,5,7,1,6,4]=>0000000=>0000000 [7,8,3,6,2,1,5,4]=>0000000=>0000000 [8,7,3,6,2,5,4,1]=>0000000=>0000000 [4,2,6,8,1,7,5,3]=>0000000=>0000000 [5,4,8,2,7,1,6,3]=>0000000=>0000000 [5,8,3,7,1,6,2,4]=>0000000=>0000000 [5,8,7,2,6,1,3,4]=>0000000=>0000000 [8,6,2,7,5,1,3,4]=>0000000=>0000000 [6,4,8,1,7,2,5,3]=>0000000=>0000000 [5,1,6,8,2,7,4,3]=>0000000=>0000000 [6,5,2,8,1,7,4,3]=>0000000=>0000000 [5,2,7,1,8,6,4,3]=>0000000=>0000000 [5,8,2,7,6,4,3,1]=>0000000=>0000000 [6,1,7,2,8,5,4,3]=>0000000=>0000000 [4,7,1,8,6,2,5,3]=>0000000=>0000000 [8,7,4,6,1,5,3,2]=>0000000=>0000000 [8,5,7,1,6,4,3,2]=>0000000=>0000000 [6,8,1,7,5,4,3,2]=>0000000=>0000000 [7,1,8,6,5,4,3,2]=>0000000=>0000000 [4,3,5,6,1,2,8,7]=>0000010=>0100000 [6,5,2,7,1,8,3,4]=>0000000=>0000000 [3,5,2,6,4,1,8,7]=>0000010=>0100000 [2,1,6,3,5,4,8,7]=>0100010=>0100010 [5,3,1,4,6,2,8,7]=>0000010=>0100000 [3,4,7,8,5,2,1,6]=>0000000=>0000000 [2,4,6,3,7,5,8,1]=>0000000=>0000000 [4,1,6,3,8,5,7,2]=>0000000=>0000000 [3,7,4,2,8,6,5,1]=>0000000=>0000000 [2,1,5,7,4,8,6,3]=>0100000=>0000010 [3,1,8,2,7,6,5,4]=>0000000=>0000000 [4,3,7,2,6,8,5,1]=>0000000=>0000000 [8,1,2,3,5,6,7,4]=>0000000=>0000000 [7,8,2,4,3,6,1,5]=>0000000=>0000000 [2,1,7,8,5,4,3,6]=>0100000=>0000010 [5,7,3,8,1,4,2,6]=>0000000=>0000000 [8,3,6,1,4,2,7,5]=>0000000=>0000000 [4,1,3,2,8,5,7,6]=>0001000=>0001000 [2,1,4,3,8,5,7,6]=>0101000=>0001010 [4,1,3,2,6,7,8,5]=>0001000=>0001000 [5,3,6,1,8,7,2,4]=>0000000=>0000000 [5,6,2,8,7,4,1,3]=>0000000=>0000000 [7,8,5,6,1,4,2,3]=>0000000=>0000000 [8,1,6,4,5,7,2,3]=>0000000=>0000000 [2,1,8,6,5,7,3,4]=>0100000=>0000010 [2,1,7,5,3,6,8,4]=>0100000=>0000010 [4,1,2,5,8,6,7,3]=>0000000=>0000000 [3,1,4,5,6,8,7,2]=>0000000=>0000000 [6,3,1,5,2,4,8,7]=>0000010=>0100000 [3,1,6,5,4,2,8,7]=>0000010=>0100000 [5,1,7,3,8,4,6,2]=>0000000=>0000000 [2,5,7,3,8,6,4,1]=>0000000=>0000000 [5,6,3,7,4,8,1,2]=>0000000=>0000000 [2,1,6,7,4,8,5,3]=>0100000=>0000010 [2,8,6,3,1,5,7,4]=>0000000=>0000000 [8,1,6,3,2,5,4,7]=>0000000=>0000000 [2,8,4,1,6,3,7,5]=>0000000=>0000000 [4,8,1,2,7,6,3,5]=>0000000=>0000000 [6,5,3,2,8,7,1,4]=>0000000=>0000000 [2,4,1,8,7,6,5,3]=>0000000=>0000000 [4,1,2,8,7,5,6,3]=>0000000=>0000000 [8,4,2,1,7,5,3,6]=>0000000=>0000000 [4,3,1,8,6,7,5,2]=>0000000=>0000000 [6,4,3,5,8,1,7,2]=>0000000=>0000000 [5,7,3,6,1,8,2,4]=>0000000=>0000000 [8,6,2,5,1,7,4,3]=>0000000=>0000000 [7,5,2,8,3,4,6,1]=>0000000=>0000000 [4,7,2,8,1,5,3,6]=>0000000=>0000000 [8,7,2,1,4,5,6,3]=>0000000=>0000000 [3,6,8,7,1,5,4,2]=>0000000=>0000000 [5,7,8,6,3,4,1,2]=>0000000=>0000000 [5,7,3,8,1,4,6,2]=>0000000=>0000000 [2,1,7,8,5,4,6,3]=>0100000=>0000010 [8,4,1,3,7,2,6,5]=>0000000=>0000000 [4,3,8,2,5,1,7,6]=>0000000=>0000000 [2,1,4,8,3,5,7,6]=>0100000=>0000010 [7,8,5,6,1,4,3,2]=>0000000=>0000000 [7,8,4,2,1,5,3,6]=>0000000=>0000000 [7,8,2,1,6,5,3,4]=>0000000=>0000000 [6,4,1,2,5,7,3,8]=>0000001=>1000000 [4,3,8,1,7,2,5,6]=>0000000=>0000000 [6,3,1,4,7,2,5,8]=>0000001=>1000000 [7,8,1,4,6,2,5,3]=>0000000=>0000000 [7,8,3,5,4,2,1,6]=>0000000=>0000000 [7,8,4,1,2,3,6,5]=>0000000=>0000000 [7,8,2,6,4,1,3,5]=>0000000=>0000000 [7,8,1,6,5,4,3,2]=>0000000=>0000000 [1,3,8,2,6,4,7,5]=>1000000=>0000001 [5,3,7,1,6,4,8,2]=>0000000=>0000000 [6,1,2,5,8,7,4,3]=>0000000=>0000000 [6,3,1,8,4,2,7,5]=>0000000=>0000000 [6,4,2,1,5,3,8,7]=>0000010=>0100000 [6,4,3,7,5,8,1,2]=>0000000=>0000000 [2,4,7,1,5,3,6,8]=>0000001=>1000000 [3,7,2,8,6,4,1,5]=>0000000=>0000000 [3,8,1,7,6,4,5,2]=>0000000=>0000000 [2,7,5,8,3,6,1,4]=>0000000=>0000000 [1,5,6,8,2,4,7,3]=>1000000=>0000001 [2,6,1,4,7,3,5,8]=>0000001=>1000000 [3,6,8,4,7,5,1,2]=>0000000=>0000000 [5,6,7,3,8,4,1,2]=>0000000=>0000000 [4,5,7,6,1,8,3,2]=>0000000=>0000000 [4,7,5,6,3,1,8,2]=>0000000=>0000000 [5,1,6,3,4,2,8,7]=>0000010=>0100000 [5,7,1,4,2,3,8,6]=>0000000=>0000000 [5,7,6,4,3,8,1,2]=>0000000=>0000000 [6,3,4,5,8,7,1,2]=>0000000=>0000000 [6,2,4,1,8,3,7,5]=>0000000=>0000000 [6,2,3,5,4,8,1,7]=>0000000=>0000000 [5,1,4,2,7,6,8,3]=>0000000=>0000000 [1,6,2,4,7,8,3,5]=>1000000=>0000001 [6,1,4,2,8,5,3,7]=>0000000=>0000000 [6,7,5,8,1,4,3,2]=>0000000=>0000000 [5,8,7,6,3,4,1,2]=>0000000=>0000000 [5,8,7,6,2,3,1,4]=>0000000=>0000000 [4,1,7,2,6,5,3,8]=>0000001=>1000000 [4,2,7,8,1,6,3,5]=>0000000=>0000000 [2,1,8,7,6,5,3,4]=>0100000=>0000010 [4,2,7,1,6,3,8,5]=>0000000=>0000000 [4,3,7,5,6,8,1,2]=>0000000=>0000000 [3,8,6,5,2,4,1,7]=>0000000=>0000000 [3,8,5,6,1,4,7,2]=>0000000=>0000000 [5,3,7,8,2,1,6,4]=>0000000=>0000000 [5,2,8,7,1,6,4,3]=>0000000=>0000000 [3,6,7,8,5,1,4,2]=>0000000=>0000000 [3,7,8,5,1,2,4,6]=>0000000=>0000000 [4,1,8,6,2,3,5,7]=>0000000=>0000000 [3,8,7,6,5,4,1,2]=>0000000=>0000000 [2,8,6,7,5,1,3,4]=>0000000=>0000000 [5,3,7,8,2,1,4,6]=>0000000=>0000000 [7,6,1,2,5,8,3,4]=>0000000=>0000000 [2,1,7,8,4,3,5,6]=>0100000=>0000010 [7,8,1,2,5,4,6,3]=>0000000=>0000000 [8,4,1,3,7,6,2,5]=>0000000=>0000000 [4,7,2,8,1,3,6,5]=>0000000=>0000000 [7,3,8,6,1,2,5,4]=>0000000=>0000000 [3,4,7,1,8,2,6,5]=>0000000=>0000000 [1,8,2,4,3,5,6,7]=>1000000=>0000001 [1,7,2,4,3,5,6,8]=>1000001=>1000001 [1,5,2,4,3,6,7,8]=>1000111=>1110001 [1,7,2,5,3,4,6,8]=>1000001=>1000001 [1,8,2,5,3,4,6,7]=>1000000=>0000001 [1,8,2,6,3,4,5,7]=>1000000=>0000001 [1,8,2,7,3,4,5,6]=>1000000=>0000001 [1,8,2,7,3,5,4,6]=>1000000=>0000001 [1,7,2,8,3,5,4,6]=>1000000=>0000001 [1,6,2,8,3,5,4,7]=>1000000=>0000001 [1,5,2,8,3,6,4,7]=>1000000=>0000001 [1,4,2,8,3,6,5,7]=>1000000=>0000001 [1,3,2,8,4,6,5,7]=>1010000=>0000101 [1,2,3,8,4,6,5,7]=>1110000=>0000111 [1,2,3,7,4,6,5,8]=>1110001=>1000111 [1,3,2,7,4,6,5,8]=>1010001=>1000101 [1,4,2,7,3,6,5,8]=>1000001=>1000001 [1,5,2,7,3,6,4,8]=>1000001=>1000001 [1,6,2,7,3,5,4,8]=>1000001=>1000001 [1,7,2,6,3,5,4,8]=>1000001=>1000001 [1,8,2,6,3,5,4,7]=>1000000=>0000001 [1,8,2,5,3,6,4,7]=>1000000=>0000001 [1,7,2,5,3,6,4,8]=>1000001=>1000001 [1,6,2,5,3,7,4,8]=>1000001=>1000001 [1,5,2,4,3,7,6,8]=>1000101=>1010001 [1,6,2,4,3,7,5,8]=>1000001=>1000001 [1,7,2,4,3,6,5,8]=>1000001=>1000001 [1,8,2,4,3,6,5,7]=>1000000=>0000001 [1,8,2,4,3,7,5,6]=>1000000=>0000001 [1,7,2,4,3,8,5,6]=>1000000=>0000001 [1,6,2,4,3,8,5,7]=>1000000=>0000001 [1,5,2,4,3,8,6,7]=>1000100=>0010001 [1,6,2,5,3,8,4,7]=>1000000=>0000001 [1,7,2,5,3,8,4,6]=>1000000=>0000001 [1,8,2,5,3,7,4,6]=>1000000=>0000001 [1,8,2,6,3,7,4,5]=>1000000=>0000001 [1,7,2,6,3,8,4,5]=>1000000=>0000001 [1,2,3,8,4,7,5,6]=>1110000=>0000111 [1,3,2,8,4,7,5,6]=>1010000=>0000101 [1,4,2,8,3,7,5,6]=>1000000=>0000001 [1,5,2,8,3,7,4,6]=>1000000=>0000001 [1,6,2,8,3,7,4,5]=>1000000=>0000001 [1,7,2,8,3,6,4,5]=>1000000=>0000001 [1,8,2,7,3,6,4,5]=>1000000=>0000001 [2,8,4,1,6,5,3,7]=>0000000=>0000000 [7,2,8,5,1,6,4,3]=>0000000=>0000000 [1,3,7,5,2,6,4,8]=>1000001=>1000001 [1,3,7,5,4,2,6,8]=>1000001=>1000001 [2,8,5,3,4,1,6,7]=>0000000=>0000000 [6,2,3,8,5,1,7,4]=>0000000=>0000000 [6,3,2,8,5,1,4,7]=>0000000=>0000000 [7,4,8,5,2,1,3,6]=>0000000=>0000000 [4,3,2,1,8,6,5,7]=>0001000=>0001000 [4,2,1,3,8,7,6,5]=>0001000=>0001000 [7,1,6,8,4,3,5,2]=>0000000=>0000000 [5,6,8,2,3,1,7,4]=>0000000=>0000000 [7,5,3,8,2,4,1,6]=>0000000=>0000000 [5,2,1,8,7,6,3,4]=>0000000=>0000000 [4,1,8,3,6,2,7,5]=>0000000=>0000000 [2,3,4,8,6,1,7,5]=>0000000=>0000000 [2,3,4,8,6,5,1,7]=>0000000=>0000000 [1,5,4,6,2,7,3,8]=>1000001=>1000001 [6,3,5,1,8,2,7,4]=>0000000=>0000000 [5,7,1,6,3,8,4,2]=>0000000=>0000000 [3,2,4,1,7,8,5,6]=>0001000=>0001000 [2,5,4,6,1,7,8,3]=>0000000=>0000000 [7,3,4,1,2,6,5,8]=>0000001=>1000000 [7,4,3,2,1,6,5,8]=>0000001=>1000000 [6,7,3,2,5,4,8,1]=>0000000=>0000000 [1,8,5,4,3,2,7,6]=>1000000=>0000001 [2,6,8,4,3,7,1,5]=>0000000=>0000000 [2,7,8,4,3,6,5,1]=>0000000=>0000000 [2,7,8,5,6,3,4,1]=>0000000=>0000000 [5,3,7,1,6,8,4,2]=>0000000=>0000000 [5,4,7,6,1,8,3,2]=>0000000=>0000000 [4,5,7,6,8,1,3,2]=>0000000=>0000000 [4,6,5,7,8,2,1,3]=>0000000=>0000000 [5,2,1,6,7,8,3,4]=>0000000=>0000000 [6,2,1,5,7,3,8,4]=>0000000=>0000000 [5,6,4,7,2,8,1,3]=>0000000=>0000000 [1,8,4,6,2,7,3,5]=>1000000=>0000001 [1,8,3,2,6,7,4,5]=>1000000=>0000001 [6,5,3,2,7,1,8,4]=>0000000=>0000000 [6,4,3,2,1,7,8,5]=>0000000=>0000000 [6,2,1,4,3,7,8,5]=>0000000=>0000000 [4,5,3,2,8,1,7,6]=>0000000=>0000000 [4,6,3,2,8,7,1,5]=>0000000=>0000000 [4,7,3,2,8,6,5,1]=>0000000=>0000000 [1,8,3,2,7,6,5,4]=>1000000=>0000001 [1,8,4,7,2,6,5,3]=>1000000=>0000001 [3,6,4,8,2,7,1,5]=>0000000=>0000000 [3,4,5,8,1,2,7,6]=>0000000=>0000000 [4,2,1,5,8,3,7,6]=>0000000=>0000000 [3,6,5,8,7,2,1,4]=>0000000=>0000000 [3,6,7,8,5,4,1,2]=>0000000=>0000000 [3,5,7,8,6,1,4,2]=>0000000=>0000000 [4,2,1,7,8,6,5,3]=>0000000=>0000000 [2,3,8,1,7,6,5,4]=>0000000=>0000000 [2,4,8,7,1,6,5,3]=>0000000=>0000000 [8,1,6,7,3,2,5,4]=>0000000=>0000000 [8,1,6,7,2,3,4,5]=>0000000=>0000000 [8,1,4,3,2,7,6,5]=>0000000=>0000000 [8,1,5,3,7,2,6,4]=>0000000=>0000000 [8,1,3,5,6,2,7,4]=>0000000=>0000000 [4,7,8,5,6,1,2,3]=>0000000=>0000000 [3,7,8,5,6,2,1,4]=>0000000=>0000000 [3,7,8,4,2,6,1,5]=>0000000=>0000000 [3,7,8,2,4,5,1,6]=>0000000=>0000000 [3,6,2,8,4,5,1,7]=>0000000=>0000000 [2,3,6,7,4,5,8,1]=>0000000=>0000000 [3,5,2,4,8,6,1,7]=>0000000=>0000000 [3,5,4,2,8,7,1,6]=>0000000=>0000000 [6,4,5,1,7,8,2,3]=>0000000=>0000000 [5,4,2,3,1,8,6,7]=>0000100=>0010000 [6,5,3,1,8,2,7,4]=>0000000=>0000000 [6,5,4,1,8,7,2,3]=>0000000=>0000000 [7,5,1,4,8,6,2,3]=>0000000=>0000000 [7,4,1,3,2,8,6,5]=>0000000=>0000000 [7,4,1,2,3,8,5,6]=>0000000=>0000000 [6,4,2,1,3,8,5,7]=>0000000=>0000000 [2,6,4,8,3,7,5,1]=>0000000=>0000000 [2,6,5,8,7,3,4,1]=>0000000=>0000000 [6,5,2,1,8,3,4,7]=>0000000=>0000000 [7,5,1,2,8,3,4,6]=>0000000=>0000000 [7,6,1,8,2,3,4,5]=>0000000=>0000000 [7,6,1,8,4,5,2,3]=>0000000=>0000000 [6,7,8,1,4,5,2,3]=>0000000=>0000000 [6,7,8,1,3,2,5,4]=>0000000=>0000000 [4,2,6,7,3,1,5,8]=>0000001=>1000000 [4,7,8,2,3,1,5,6]=>0000000=>0000000 [4,7,8,3,2,1,6,5]=>0000000=>0000000 [5,7,8,3,1,2,6,4]=>0000000=>0000000 [5,7,8,4,1,6,2,3]=>0000000=>0000000 [4,6,3,8,2,1,7,5]=>0000000=>0000000 [4,2,5,3,7,1,6,8]=>0000001=>1000000 [3,5,6,7,8,2,1,4]=>0000000=>0000000 [7,3,5,1,8,4,6,2]=>0000000=>0000000 [4,5,7,3,1,8,6,2]=>0000000=>0000000 [4,5,6,2,1,8,7,3]=>0000000=>0000000 [1,6,5,2,7,4,3,8]=>1000001=>1000001 [7,4,3,1,8,6,5,2]=>0000000=>0000000 [7,5,6,1,8,3,4,2]=>0000000=>0000000 [7,6,5,1,8,4,3,2]=>0000000=>0000000 [6,4,2,1,8,7,5,3]=>0000000=>0000000 [2,6,5,1,7,8,4,3]=>0000000=>0000000 [4,5,7,1,3,8,2,6]=>0000000=>0000000 [4,3,1,2,8,6,5,7]=>0001000=>0001000 [6,1,2,5,8,3,4,7]=>0000000=>0000000 [7,1,3,4,8,2,5,6]=>0000000=>0000000 [2,6,1,5,7,8,3,4]=>0000000=>0000000 [6,2,5,1,8,4,7,3]=>0000000=>0000000 [6,1,5,2,8,3,7,4]=>0000000=>0000000 [7,3,1,4,8,6,2,5]=>0000000=>0000000 [5,2,1,3,8,7,4,6]=>0000000=>0000000 [6,1,4,2,8,3,7,5]=>0000000=>0000000 [7,1,4,3,8,2,6,5]=>0000000=>0000000 [5,1,3,2,8,4,7,6]=>0000000=>0000000 [2,6,1,4,7,8,3,5]=>0000000=>0000000 [7,1,3,5,8,2,4,6]=>0000000=>0000000 [7,8,5,6,1,3,4,2]=>0000000=>0000000 [7,8,1,3,6,2,5,4]=>0000000=>0000000 [4,6,1,2,5,7,3,8]=>0000001=>1000000 [1,4,8,2,5,7,3,6]=>1000000=>0000001 [7,8,4,2,5,1,3,6]=>0000000=>0000000 [7,8,1,5,4,6,3,2]=>0000000=>0000000 [7,8,2,1,6,3,4,5]=>0000000=>0000000 [7,8,3,5,6,4,1,2]=>0000000=>0000000 [7,8,4,5,3,1,6,2]=>0000000=>0000000 [2,6,4,8,3,7,1,5]=>0000000=>0000000 [1,4,6,8,3,7,5,2]=>1000000=>0000001 [2,5,8,1,4,7,6,3]=>0000000=>0000000 [1,6,2,4,7,3,8,5]=>1000000=>0000001 [5,6,2,1,4,7,8,3]=>0000000=>0000000 [4,7,5,1,3,6,8,2]=>0000000=>0000000 [5,7,3,6,1,4,8,2]=>0000000=>0000000 [1,4,7,2,5,3,8,6]=>1000000=>0000001 [6,4,7,3,5,8,1,2]=>0000000=>0000000 [3,5,6,7,8,1,4,2]=>0000000=>0000000 [3,6,5,7,8,2,1,4]=>0000000=>0000000 [2,7,5,6,8,4,1,3]=>0000000=>0000000 [2,1,6,8,4,5,3,7]=>0100000=>0000010 [2,7,1,8,5,3,4,6]=>0000000=>0000000 [3,7,6,8,5,4,1,2]=>0000000=>0000000 [4,3,8,5,6,7,1,2]=>0000000=>0000000 [4,2,8,1,6,3,7,5]=>0000000=>0000000 [3,1,8,5,4,6,7,2]=>0000000=>0000000 [3,4,2,8,6,1,7,5]=>0000000=>0000000 [1,7,3,8,5,2,6,4]=>1000000=>0000001 [4,1,8,3,6,2,5,7]=>0000000=>0000000 [5,7,8,6,3,2,1,4]=>0000000=>0000000 [5,7,8,6,1,3,4,2]=>0000000=>0000000 [7,6,5,8,1,3,4,2]=>0000000=>0000000 [1,6,4,3,8,2,5,7]=>1000000=>0000001 [2,6,3,4,5,8,1,7]=>0000000=>0000000 [2,6,4,1,8,3,7,5]=>0000000=>0000000 [3,6,4,5,8,7,1,2]=>0000000=>0000000 [7,2,1,4,8,3,5,6]=>0000000=>0000000 [7,1,6,5,3,8,4,2]=>0000000=>0000000 [7,2,5,6,3,8,1,4]=>0000000=>0000000 [5,6,2,7,3,1,4,8]=>0000001=>1000000 [6,7,1,5,2,8,3,4]=>0000000=>0000000 [6,1,5,2,8,3,4,7]=>0000000=>0000000 [7,5,2,4,3,1,6,8]=>0000001=>1000000 [6,8,1,3,7,5,4,2]=>0000000=>0000000 [7,4,2,6,5,1,3,8]=>0000001=>1000000 [7,4,6,3,1,5,2,8]=>0000001=>1000000 [7,2,3,5,4,1,6,8]=>0000001=>1000000 [2,5,1,7,8,3,6,4]=>0000000=>0000000 [2,5,3,6,8,4,7,1]=>0000000=>0000000 [3,5,7,4,1,6,2,8]=>0000001=>1000000 [5,2,8,4,6,1,7,3]=>0000000=>0000000 [5,2,1,8,6,3,7,4]=>0000000=>0000000 [1,4,2,7,5,8,6,3]=>1000000=>0000001 [5,3,8,7,6,2,4,1]=>0000000=>0000000 [5,8,4,7,6,2,1,3]=>0000000=>0000000 [5,8,7,4,3,6,1,2]=>0000000=>0000000 [6,4,8,3,1,7,2,5]=>0000000=>0000000 [6,4,2,8,7,1,3,5]=>0000000=>0000000 [6,3,8,7,2,5,1,4]=>0000000=>0000000 [5,8,3,7,1,6,4,2]=>0000000=>0000000 [6,8,5,2,4,3,7,1]=>0000000=>0000000 [6,8,5,3,1,2,7,4]=>0000000=>0000000 [4,5,1,2,7,6,3,8]=>0000001=>1000000 [4,5,1,2,6,8,7,3]=>0000000=>0000000 [3,5,6,1,8,4,7,2]=>0000000=>0000000 [3,5,7,1,2,8,6,4]=>0000000=>0000000 [4,2,6,1,7,3,5,8]=>0000001=>1000000 [4,6,3,1,2,7,5,8]=>0000001=>1000000 [3,5,2,7,8,1,6,4]=>0000000=>0000000 [3,1,4,7,5,6,2,8]=>0000001=>1000000 [3,1,4,5,8,6,7,2]=>0000000=>0000000 [3,4,6,8,5,2,7,1]=>0000000=>0000000 [2,1,7,5,8,6,4,3]=>0100000=>0000010 [1,2,7,5,3,8,6,4]=>1100000=>0000011 [4,1,2,7,3,8,6,5]=>0000000=>0000000 [7,1,4,2,5,3,8,6]=>0000000=>0000000 [6,1,3,7,5,2,4,8]=>0000001=>1000000 [3,1,2,6,8,5,4,7]=>0010000=>0000100 [3,7,1,2,5,4,8,6]=>0000000=>0000000 [1,3,7,2,4,8,6,5]=>1000000=>0000001 [3,2,7,8,1,6,5,4]=>0000000=>0000000 [2,4,1,7,8,6,5,3]=>0000000=>0000000 [2,6,8,3,1,5,7,4]=>0000000=>0000000 [3,6,4,8,5,1,7,2]=>0000000=>0000000 [6,3,7,4,5,1,8,2]=>0000000=>0000000 [2,6,3,7,5,8,1,4]=>0000000=>0000000 [5,2,1,7,8,3,4,6]=>0000000=>0000000 [5,7,4,6,2,8,1,3]=>0000000=>0000000 [4,2,8,3,6,7,1,5]=>0000000=>0000000 [4,8,3,1,7,2,5,6]=>0000000=>0000000 [5,2,8,4,7,1,6,3]=>0000000=>0000000 [5,8,4,7,3,1,6,2]=>0000000=>0000000 [4,6,8,3,1,7,5,2]=>0000000=>0000000 [6,3,8,2,7,1,5,4]=>0000000=>0000000 [3,5,1,8,2,7,4,6]=>0000000=>0000000 [7,5,1,3,6,2,4,8]=>0000001=>1000000 [5,1,8,4,2,7,3,6]=>0000000=>0000000 [4,1,6,2,8,3,7,5]=>0000000=>0000000 [1,6,2,8,5,3,7,4]=>1000000=>0000001 [6,8,5,3,1,7,4,2]=>0000000=>0000000 [5,6,7,3,1,8,4,2]=>0000000=>0000000 [5,6,2,1,7,8,4,3]=>0000000=>0000000 [8,4,5,1,2,6,3,7]=>0000000=>0000000 [5,6,3,7,1,2,4,8]=>0000001=>1000000 [1,6,3,7,2,8,4,5]=>1000000=>0000001 [6,4,7,2,8,1,5,3]=>0000000=>0000000 [6,7,4,8,3,1,5,2]=>0000000=>0000000 [4,5,7,8,3,1,6,2]=>0000000=>0000000 [4,7,2,5,8,1,6,3]=>0000000=>0000000 [5,7,3,8,2,6,1,4]=>0000000=>0000000 [3,4,7,8,2,6,1,5]=>0000000=>0000000 [8,1,3,4,6,2,5,7]=>0000000=>0000000 [2,4,5,6,8,1,7,3]=>0000000=>0000000 [8,4,3,6,5,1,7,2]=>0000000=>0000000 [8,6,5,4,3,1,7,2]=>0000000=>0000000 [1,8,6,5,2,7,3,4]=>1000000=>0000001 [8,7,5,4,1,6,3,2]=>0000000=>0000000 [7,8,5,4,1,3,6,2]=>0000000=>0000000 [3,2,8,6,5,1,7,4]=>0000000=>0000000 [8,1,6,5,2,3,7,4]=>0000000=>0000000 [8,1,7,2,6,3,5,4]=>0000000=>0000000 [7,1,8,2,6,4,3,5]=>0000000=>0000000 [5,1,8,3,2,7,4,6]=>0000000=>0000000 [3,2,8,7,1,6,5,4]=>0000000=>0000000 [4,8,2,7,1,6,5,3]=>0000000=>0000000 [5,8,7,2,1,6,4,3]=>0000000=>0000000 [8,7,6,1,5,4,3,2]=>0000000=>0000000 [8,6,7,1,4,5,3,2]=>0000000=>0000000 [7,6,8,1,4,3,5,2]=>0000000=>0000000 [6,7,8,1,3,4,5,2]=>0000000=>0000000 [5,7,8,2,1,4,6,3]=>0000000=>0000000 [4,7,2,8,1,5,6,3]=>0000000=>0000000 [3,2,7,8,1,5,6,4]=>0000000=>0000000 [3,2,6,8,4,1,7,5]=>0000000=>0000000 [4,6,2,8,3,1,7,5]=>0000000=>0000000 [6,5,8,3,2,1,7,4]=>0000000=>0000000 [7,5,8,3,1,4,6,2]=>0000000=>0000000 [8,4,3,7,1,6,5,2]=>0000000=>0000000 [6,4,3,8,2,1,7,5]=>0000000=>0000000 [5,4,3,2,8,1,7,6]=>0000000=>0000000 [4,5,2,3,8,1,7,6]=>0000000=>0000000 [3,2,5,4,8,1,7,6]=>0000000=>0000000 [6,4,3,1,5,2,7,8]=>0000011=>1100000 [7,4,3,1,2,6,5,8]=>0000001=>1000000 [1,5,4,2,3,6,7,8]=>1000111=>1110001 [7,5,1,4,2,6,3,8]=>0000001=>1000000 [4,6,2,1,5,3,7,8]=>0000011=>1100000 [3,2,6,1,5,4,7,8]=>0000011=>1100000 [5,7,1,3,2,6,4,8]=>0000001=>1000000 [6,7,1,2,4,5,3,8]=>0000001=>1000000 [7,6,1,2,5,4,3,8]=>0000001=>1000000 [8,6,1,2,5,3,7,4]=>0000000=>0000000 [7,8,1,2,3,5,6,4]=>0000000=>0000000 [3,2,8,1,4,5,7,6]=>0000000=>0000000 [4,1,3,2,5,6,7,8]=>0001111=>1111000 [5,1,2,4,3,6,7,8]=>0000111=>1110000 [5,8,7,3,4,1,2,6]=>0000000=>0000000 [6,7,3,8,5,1,2,4]=>0000000=>0000000 [6,7,4,5,1,8,3,2]=>0000000=>0000000 [5,4,7,6,2,3,8,1]=>0000000=>0000000 [4,3,8,7,6,1,2,5]=>0000000=>0000000 [4,8,3,7,5,1,2,6]=>0000000=>0000000 [4,5,6,7,1,8,3,2]=>0000000=>0000000 [2,5,6,8,1,7,3,4]=>0000000=>0000000 [8,2,4,5,1,6,3,7]=>0000000=>0000000 [1,4,8,6,2,3,7,5]=>1000000=>0000001 [1,5,6,8,2,3,7,4]=>1000000=>0000001 [1,5,6,2,8,4,7,3]=>1000000=>0000001 [1,4,2,6,8,5,7,3]=>1000000=>0000001 [8,1,3,2,5,4,6,7]=>0000000=>0000000 [4,3,1,7,6,8,5,2]=>0000000=>0000000 [3,8,2,1,7,5,4,6]=>0000000=>0000000 [8,3,2,1,6,5,4,7]=>0000000=>0000000 [8,4,2,6,1,5,3,7]=>0000000=>0000000 [4,2,8,7,1,6,3,5]=>0000000=>0000000 [5,3,7,2,6,4,8,1]=>0000000=>0000000 [6,7,3,1,5,8,4,2]=>0000000=>0000000 [6,7,2,1,8,5,4,3]=>0000000=>0000000 [6,7,2,8,1,5,3,4]=>0000000=>0000000 [6,7,8,2,1,4,3,5]=>0000000=>0000000 [8,5,6,2,1,4,3,7]=>0000000=>0000000 [5,8,7,1,2,3,4,6]=>0000000=>0000000 [6,7,1,2,8,4,5,3]=>0000000=>0000000 [6,7,1,3,4,8,5,2]=>0000000=>0000000 [5,1,7,3,4,8,6,2]=>0000000=>0000000 [5,1,7,8,2,3,6,4]=>0000000=>0000000 [4,8,1,7,2,3,5,6]=>0000000=>0000000 [3,8,1,2,7,4,5,6]=>0000000=>0000000 [3,1,8,2,7,4,6,5]=>0000000=>0000000 [3,1,2,8,7,5,6,4]=>0010000=>0000100 [4,1,3,7,5,8,6,2]=>0000000=>0000000 [1,8,2,3,4,5,7,6]=>1000000=>0000001 [1,2,8,3,4,6,7,5]=>1100000=>0000011 [3,6,4,8,5,7,1,2]=>0000000=>0000000 [5,1,4,8,6,3,7,2]=>0000000=>0000000 [3,4,7,1,8,6,5,2]=>0000000=>0000000 [6,3,8,4,2,7,1,5]=>0000000=>0000000 [3,6,8,7,1,4,2,5]=>0000000=>0000000 [4,6,1,2,7,8,5,3]=>0000000=>0000000 [3,6,4,2,8,7,5,1]=>0000000=>0000000 [5,8,1,4,6,7,2,3]=>0000000=>0000000 [3,6,4,5,7,2,8,1]=>0000000=>0000000 [5,4,2,7,3,6,8,1]=>0000000=>0000000 [4,2,5,7,3,6,8,1]=>0000000=>0000000 [1,6,5,3,4,8,2,7]=>1000000=>0000001 [1,8,6,3,7,5,2,4]=>1000000=>0000001 [8,7,5,2,6,4,3,1]=>0000000=>0000000 [8,7,1,6,2,5,4,3]=>0000000=>0000000 [7,8,1,6,3,2,5,4]=>0000000=>0000000 [2,8,1,7,3,5,6,4]=>0000000=>0000000 [4,8,1,3,7,2,6,5]=>0000000=>0000000 [4,2,8,5,7,3,6,1]=>0000000=>0000000 [6,7,3,1,8,4,2,5]=>0000000=>0000000 [1,7,3,8,4,5,2,6]=>1000000=>0000001 [1,7,2,8,5,3,4,6]=>1000000=>0000001 [7,6,1,8,4,3,2,5]=>0000000=>0000000 [7,1,2,8,3,5,4,6]=>0000000=>0000000 [6,3,7,2,1,8,4,5]=>0000000=>0000000 [8,2,6,1,7,3,5,4]=>0000000=>0000000 [5,4,3,1,6,8,2,7]=>0000000=>0000000 [1,5,3,4,6,8,2,7]=>1000000=>0000001 [4,3,5,1,6,8,2,7]=>0000000=>0000000 [4,7,5,6,8,3,2,1]=>0000000=>0000000 [5,7,3,8,2,6,4,1]=>0000000=>0000000 [2,3,8,7,4,5,6,1]=>0000000=>0000000 [7,2,8,6,4,3,5,1]=>0000000=>0000000 [1,3,8,7,4,6,2,5]=>1000000=>0000001 [4,7,1,8,6,5,2,3]=>0000000=>0000000 [6,7,4,8,3,5,1,2]=>0000000=>0000000 [6,7,4,5,2,8,1,3]=>0000000=>0000000 [5,7,4,6,2,3,1,8]=>0000001=>1000000 [5,7,4,6,3,8,1,2]=>0000000=>0000000 [5,7,4,8,3,6,1,2]=>0000000=>0000000 [6,8,4,5,3,7,1,2]=>0000000=>0000000 [5,8,4,6,3,7,1,2]=>0000000=>0000000 [5,6,4,8,3,7,1,2]=>0000000=>0000000 [5,6,3,7,2,4,1,8]=>0000001=>1000000 [5,6,3,7,2,8,1,4]=>0000000=>0000000 [5,6,3,8,2,7,1,4]=>0000000=>0000000 [5,6,4,8,2,7,1,3]=>0000000=>0000000 [5,8,4,6,2,7,1,3]=>0000000=>0000000 [6,8,4,5,2,7,1,3]=>0000000=>0000000 [7,8,4,5,2,6,1,3]=>0000000=>0000000 [6,8,4,5,2,3,1,7]=>0000000=>0000000 [5,8,4,6,2,3,1,7]=>0000000=>0000000 [5,6,4,8,2,3,1,7]=>0000000=>0000000 [5,6,3,8,2,4,1,7]=>0000000=>0000000 [5,6,3,4,2,8,1,7]=>0000000=>0000000 [4,6,3,5,2,7,1,8]=>0000001=>1000000 [4,6,3,5,2,8,1,7]=>0000000=>0000000 [4,6,3,8,2,5,1,7]=>0000000=>0000000 [4,8,3,6,2,5,1,7]=>0000000=>0000000 [5,8,3,6,2,4,1,7]=>0000000=>0000000 [6,8,3,5,2,4,1,7]=>0000000=>0000000 [7,8,3,5,2,4,1,6]=>0000000=>0000000 [7,8,3,5,2,6,1,4]=>0000000=>0000000 [6,8,3,5,2,7,1,4]=>0000000=>0000000 [5,8,3,6,2,7,1,4]=>0000000=>0000000 [4,8,3,6,2,7,1,5]=>0000000=>0000000 [4,6,3,8,2,7,1,5]=>0000000=>0000000 [4,6,3,7,2,8,1,5]=>0000000=>0000000 [4,6,3,7,2,5,1,8]=>0000001=>1000000 [4,7,3,6,2,5,1,8]=>0000001=>1000000 [4,7,3,6,2,8,1,5]=>0000000=>0000000 [4,7,3,8,2,6,1,5]=>0000000=>0000000 [5,7,4,8,2,6,1,3]=>0000000=>0000000 [5,7,3,6,2,8,1,4]=>0000000=>0000000 [5,7,3,6,2,4,1,8]=>0000001=>1000000 [6,7,3,5,2,4,1,8]=>0000001=>1000000 [6,7,3,5,2,8,1,4]=>0000000=>0000000 [6,7,3,8,2,5,1,4]=>0000000=>0000000 [6,7,4,8,2,5,1,3]=>0000000=>0000000 [6,7,5,8,2,4,1,3]=>0000000=>0000000 [6,8,5,7,2,3,1,4]=>0000000=>0000000 [6,7,4,8,2,3,1,5]=>0000000=>0000000 [6,7,3,8,2,4,1,5]=>0000000=>0000000 [6,7,3,4,2,8,1,5]=>0000000=>0000000 [5,7,3,4,2,6,1,8]=>0000001=>1000000 [5,7,3,4,2,8,1,6]=>0000000=>0000000 [5,7,3,8,2,4,1,6]=>0000000=>0000000 [5,7,4,8,2,3,1,6]=>0000000=>0000000 [5,8,4,7,2,3,1,6]=>0000000=>0000000 [6,8,4,7,2,3,1,5]=>0000000=>0000000 [7,8,4,6,2,3,1,5]=>0000000=>0000000 [7,8,3,6,2,4,1,5]=>0000000=>0000000 [6,8,3,7,2,4,1,5]=>0000000=>0000000 [5,8,3,7,2,4,1,6]=>0000000=>0000000 [4,8,3,7,2,5,1,6]=>0000000=>0000000 [4,7,3,8,2,5,1,6]=>0000000=>0000000 [4,7,3,5,2,8,1,6]=>0000000=>0000000 [4,7,3,5,2,6,1,8]=>0000001=>1000000 [4,5,3,7,2,6,1,8]=>0000001=>1000000 [4,5,3,7,2,8,1,6]=>0000000=>0000000 [4,5,3,8,2,7,1,6]=>0000000=>0000000 [4,8,3,5,2,7,1,6]=>0000000=>0000000 [5,8,3,4,2,7,1,6]=>0000000=>0000000 [6,8,3,4,2,7,1,5]=>0000000=>0000000 [7,8,3,4,2,6,1,5]=>0000000=>0000000 [6,8,3,4,2,5,1,7]=>0000000=>0000000 [5,8,3,4,2,6,1,7]=>0000000=>0000000 [4,8,3,5,2,6,1,7]=>0000000=>0000000 [4,5,3,8,2,6,1,7]=>0000000=>0000000 [4,5,3,6,2,8,1,7]=>0000000=>0000000 [4,6,5,2,1,3,8,7]=>0000010=>0100000 [7,4,8,1,6,5,3,2]=>0000000=>0000000 [7,4,5,3,1,8,2,6]=>0000000=>0000000 [6,4,8,1,7,5,2,3]=>0000000=>0000000 [6,4,7,1,8,2,5,3]=>0000000=>0000000 [8,4,7,3,6,2,5,1]=>0000000=>0000000 [5,7,8,6,2,3,1,4]=>0000000=>0000000 [5,8,7,6,3,2,1,4]=>0000000=>0000000 [6,7,4,2,8,1,5,3]=>0000000=>0000000 [6,8,4,2,7,5,1,3]=>0000000=>0000000 [5,7,4,2,3,8,1,6]=>0000000=>0000000 [2,1,8,6,7,5,3,4]=>0100000=>0000010 [5,8,6,7,3,1,2,4]=>0000000=>0000000 [6,7,5,8,1,3,4,2]=>0000000=>0000000 [7,6,5,8,1,4,3,2]=>0000000=>0000000 [2,1,7,6,8,3,5,4]=>0100000=>0000010 [7,5,6,8,1,4,2,3]=>0000000=>0000000 [8,1,3,7,4,6,5,2]=>0000000=>0000000 [6,1,5,4,3,8,7,2]=>0000000=>0000000 [6,1,8,3,4,5,7,2]=>0000000=>0000000 [5,6,2,1,4,8,3,7]=>0000000=>0000000 [8,5,2,7,3,1,6,4]=>0000000=>0000000 [8,5,6,4,2,1,7,3]=>0000000=>0000000 [2,6,4,1,8,5,7,3]=>0000000=>0000000 [1,5,7,3,2,4,6,8]=>1000001=>1000001 [5,8,2,4,1,3,7,6]=>0000000=>0000000 [4,8,1,6,3,2,7,5]=>0000000=>0000000 [3,1,8,6,4,2,7,5]=>0000000=>0000000 [4,2,1,3,7,8,5,6]=>0001000=>0001000 [8,6,1,3,7,2,4,5]=>0000000=>0000000 [5,2,7,8,6,4,1,3]=>0000000=>0000000 [1,4,2,7,8,6,3,5]=>1000000=>0000001 [1,6,2,4,8,5,3,7]=>1000000=>0000001 [1,6,2,4,7,5,3,8]=>1000001=>1000001 [1,7,3,2,8,6,4,5]=>1000000=>0000001 [7,8,3,6,5,2,1,4]=>0000000=>0000000 [4,7,2,8,6,1,5,3]=>0000000=>0000000 [1,3,6,4,8,5,7,2]=>1000000=>0000001 [1,3,6,4,7,5,8,2]=>1000000=>0000001 [6,2,1,3,7,8,4,5]=>0000000=>0000000 [7,2,5,1,8,3,4,6]=>0000000=>0000000 [7,8,2,1,4,3,5,6]=>0000000=>0000000 [7,5,4,2,6,8,1,3]=>0000000=>0000000 [8,2,5,4,6,7,1,3]=>0000000=>0000000 [8,2,6,4,3,1,7,5]=>0000000=>0000000 [8,2,7,4,1,3,5,6]=>0000000=>0000000 [1,2,8,4,3,5,6,7]=>1100000=>0000011 [1,8,7,4,3,2,5,6]=>1000000=>0000001 [5,8,4,7,2,1,6,3]=>0000000=>0000000 [1,8,7,5,4,3,6,2]=>1000000=>0000001 [1,6,8,4,3,7,5,2]=>1000000=>0000001 [6,8,7,3,2,5,1,4]=>0000000=>0000000 [5,3,8,1,2,7,4,6]=>0000000=>0000000 [5,1,8,3,2,6,4,7]=>0000000=>0000000 [5,7,3,1,2,6,4,8]=>0000001=>1000000 [1,4,6,2,8,3,7,5]=>1000000=>0000001 [5,2,6,7,8,4,1,3]=>0000000=>0000000 [5,3,6,1,2,8,4,7]=>0000000=>0000000 [1,6,3,2,7,8,4,5]=>1000000=>0000001 [6,7,3,8,5,2,1,4]=>0000000=>0000000 [4,6,2,7,8,1,5,3]=>0000000=>0000000 [1,6,4,7,8,3,5,2]=>1000000=>0000001 [4,5,7,2,1,8,6,3]=>0000000=>0000000 [7,8,3,4,2,1,6,5]=>0000000=>0000000 [6,3,4,1,2,5,8,7]=>0000010=>0100000 [6,3,1,4,2,7,5,8]=>0000001=>1000000 [1,8,3,2,4,5,6,7]=>1000000=>0000001 [9,10,7,8,5,6,3,4,1,2]=>000000000=>000000000 [7,8,3,5,4,6,1,2]=>0000000=>0000000 [6,8,3,7,5,1,4,2]=>0000000=>0000000 [5,7,3,8,1,6,2,4]=>0000000=>0000000 [7,8,4,6,1,5,2,3]=>0000000=>0000000 [7,8,1,6,4,5,2,3]=>0000000=>0000000 [6,8,1,7,4,5,2,3]=>0000000=>0000000 [1,8,6,7,4,5,2,3]=>1000000=>0000001 [1,8,6,7,3,5,2,4]=>1000000=>0000001 [6,8,1,7,3,5,2,4]=>0000000=>0000000 [7,8,1,6,3,5,2,4]=>0000000=>0000000 [7,8,3,6,1,5,2,4]=>0000000=>0000000 [7,8,3,6,4,5,1,2]=>0000000=>0000000 [7,8,2,6,4,5,1,3]=>0000000=>0000000 [7,8,2,6,3,5,1,4]=>0000000=>0000000 [7,8,2,6,1,5,3,4]=>0000000=>0000000 [7,8,1,6,2,5,3,4]=>0000000=>0000000 [1,8,6,7,2,5,3,4]=>1000000=>0000001 [1,8,5,7,2,6,3,4]=>1000000=>0000001 [5,8,1,7,2,6,3,4]=>0000000=>0000000 [5,8,2,7,1,6,3,4]=>0000000=>0000000 [6,8,2,7,1,5,3,4]=>0000000=>0000000 [6,8,2,7,3,5,1,4]=>0000000=>0000000 [6,8,2,7,4,5,1,3]=>0000000=>0000000 [6,8,3,7,4,5,1,2]=>0000000=>0000000 [3,8,6,7,4,5,1,2]=>0000000=>0000000 [2,8,6,7,4,5,1,3]=>0000000=>0000000 [2,8,6,7,3,5,1,4]=>0000000=>0000000 [2,8,6,7,1,5,3,4]=>0000000=>0000000 [2,8,5,7,1,6,3,4]=>0000000=>0000000 [2,8,1,7,5,6,3,4]=>0000000=>0000000 [1,8,2,7,5,6,3,4]=>1000000=>0000001 [1,8,2,7,4,6,3,5]=>1000000=>0000001 [2,8,1,7,4,6,3,5]=>0000000=>0000000 [2,8,4,7,1,6,3,5]=>0000000=>0000000 [2,8,4,7,3,6,1,5]=>0000000=>0000000 [2,8,5,7,3,6,1,4]=>0000000=>0000000 [3,8,5,7,4,6,1,2]=>0000000=>0000000 [5,8,3,7,4,6,1,2]=>0000000=>0000000 [5,8,2,7,4,6,1,3]=>0000000=>0000000 [5,8,2,7,3,6,1,4]=>0000000=>0000000 [4,8,2,7,3,6,1,5]=>0000000=>0000000 [4,8,2,7,1,6,3,5]=>0000000=>0000000 [4,8,1,7,2,6,3,5]=>0000000=>0000000 [1,8,4,7,2,6,3,5]=>1000000=>0000001 [1,8,4,7,3,6,2,5]=>1000000=>0000001 [4,8,1,7,3,6,2,5]=>0000000=>0000000 [4,8,3,7,1,6,2,5]=>0000000=>0000000 [6,8,3,7,1,5,2,4]=>0000000=>0000000 [5,8,1,7,3,6,2,4]=>0000000=>0000000 [1,8,5,7,3,6,2,4]=>1000000=>0000001 [1,8,5,7,4,6,2,3]=>1000000=>0000001 [5,8,1,7,4,6,2,3]=>0000000=>0000000 [5,8,4,7,1,6,2,3]=>0000000=>0000000 [6,8,4,7,1,5,2,3]=>0000000=>0000000 [6,8,5,7,1,4,2,3]=>0000000=>0000000 [5,8,6,7,3,4,1,2]=>0000000=>0000000 [5,8,6,7,2,4,1,3]=>0000000=>0000000 [5,8,6,7,1,4,2,3]=>0000000=>0000000 [4,8,6,7,1,5,2,3]=>0000000=>0000000 [4,8,5,7,1,6,2,3]=>0000000=>0000000 [4,8,1,7,5,6,2,3]=>0000000=>0000000 [1,8,4,7,5,6,2,3]=>1000000=>0000001 [1,8,3,7,5,6,2,4]=>1000000=>0000001 [3,8,1,7,5,6,2,4]=>0000000=>0000000 [3,8,5,7,1,6,2,4]=>0000000=>0000000 [3,8,6,7,1,5,2,4]=>0000000=>0000000 [3,8,6,7,2,5,1,4]=>0000000=>0000000 [4,8,6,7,2,5,1,3]=>0000000=>0000000 [4,8,6,7,3,5,1,2]=>0000000=>0000000 [4,8,5,7,3,6,1,2]=>0000000=>0000000 [4,8,5,7,2,6,1,3]=>0000000=>0000000 [3,8,5,7,2,6,1,4]=>0000000=>0000000 [3,8,4,7,2,6,1,5]=>0000000=>0000000 [3,8,4,7,1,6,2,5]=>0000000=>0000000 [3,8,1,7,4,6,2,5]=>0000000=>0000000 [1,8,3,7,4,6,2,5]=>1000000=>0000001 [1,8,3,7,2,6,4,5]=>1000000=>0000001 [3,8,1,7,2,6,4,5]=>0000000=>0000000 [3,8,2,7,1,6,4,5]=>0000000=>0000000 [3,8,2,7,4,6,1,5]=>0000000=>0000000 [3,8,2,7,5,6,1,4]=>0000000=>0000000 [4,8,2,7,5,6,1,3]=>0000000=>0000000 [4,8,3,7,5,6,1,2]=>0000000=>0000000 [3,8,4,7,5,6,1,2]=>0000000=>0000000 [2,8,4,7,5,6,1,3]=>0000000=>0000000 [2,8,3,7,5,6,1,4]=>0000000=>0000000 [2,8,3,7,4,6,1,5]=>0000000=>0000000 [2,8,3,7,1,6,4,5]=>0000000=>0000000 [2,8,1,7,3,6,4,5]=>0000000=>0000000 [7,5,2,8,6,4,1,3]=>0000000=>0000000 [7,4,8,6,1,5,2,3]=>0000000=>0000000 [7,1,8,4,5,2,6,3]=>0000000=>0000000 [1,6,7,4,2,8,5,3]=>1000000=>0000001 [1,6,7,3,8,5,2,4]=>1000000=>0000001 [7,1,8,3,5,6,2,4]=>0000000=>0000000 [7,3,8,6,2,5,1,4]=>0000000=>0000000 [7,4,2,8,6,1,3,5]=>0000000=>0000000 [6,8,1,7,2,3,4,5]=>0000000=>0000000 [1,5,7,8,2,6,3,4]=>1000000=>0000001 [2,5,3,7,8,1,6,4]=>0000000=>0000000 [2,5,4,1,3,7,8,6]=>0000100=>0010000 [3,1,5,4,7,8,2,6]=>0000000=>0000000 [5,3,1,4,8,2,6,7]=>0000000=>0000000 [5,2,4,8,6,1,3,7]=>0000000=>0000000 [4,8,1,3,6,7,2,5]=>0000000=>0000000 [5,3,8,2,4,7,1,6]=>0000000=>0000000 [5,4,3,8,1,2,7,6]=>0000000=>0000000 [6,4,3,1,2,8,5,7]=>0000000=>0000000 [6,4,2,8,1,3,7,5]=>0000000=>0000000 [6,3,8,2,5,1,7,4]=>0000000=>0000000 [6,3,8,1,4,7,2,5]=>0000000=>0000000 [1,5,7,3,6,8,4,2]=>1000000=>0000001 [1,5,7,4,2,6,8,3]=>1000000=>0000001 [5,8,1,4,2,6,3,7]=>0000000=>0000000 [6,5,3,1,4,2,8,7]=>0000010=>0100000 [5,3,1,6,4,2,7,8]=>0000011=>1100000 [5,2,6,4,1,7,3,8]=>0000001=>1000000 [4,6,1,7,5,2,8,3]=>0000000=>0000000 [3,5,6,1,2,8,7,4]=>0000000=>0000000 [3,5,7,1,8,6,2,4]=>0000000=>0000000 [3,6,2,7,5,1,8,4]=>0000000=>0000000 [4,3,1,5,7,2,6,8]=>0000001=>1000000 [3,4,7,2,8,6,1,5]=>0000000=>0000000 [3,4,5,8,2,7,1,6]=>0000000=>0000000 [5,3,6,8,4,7,2,1]=>0000000=>0000000 [5,1,6,8,4,3,2,7]=>0000000=>0000000 [6,7,8,1,4,3,2,5]=>0000000=>0000000 [4,7,1,5,8,3,2,6]=>0000000=>0000000 [8,4,1,5,7,3,2,6]=>0000000=>0000000 [8,3,6,1,4,7,2,5]=>0000000=>0000000 [3,7,6,1,4,8,2,5]=>0000000=>0000000 [6,7,8,2,4,3,5,1]=>0000000=>0000000 [5,7,3,8,4,6,2,1]=>0000000=>0000000 [4,7,3,5,8,6,2,1]=>0000000=>0000000 [8,7,2,1,4,3,6,5]=>0000000=>0000000 [8,7,3,1,4,6,2,5]=>0000000=>0000000 [8,7,6,3,2,5,4,1]=>0000000=>0000000 [8,7,3,5,1,6,2,4]=>0000000=>0000000 [8,7,2,5,1,3,6,4]=>0000000=>0000000 [8,4,6,5,7,1,2,3]=>0000000=>0000000 [8,7,6,5,2,1,4,3]=>0000000=>0000000 [3,6,4,8,7,5,1,2]=>0000000=>0000000 [5,6,4,3,8,7,1,2]=>0000000=>0000000 [1,6,2,4,7,8,5,3]=>1000000=>0000001 [3,6,2,4,8,1,5,7]=>0000000=>0000000 [3,4,7,2,8,1,6,5]=>0000000=>0000000 [7,3,8,4,5,6,1,2]=>0000000=>0000000 [3,8,7,5,4,6,1,2]=>0000000=>0000000 [4,3,6,7,8,5,1,2]=>0000000=>0000000 [3,5,6,4,8,7,1,2]=>0000000=>0000000 [4,6,8,5,3,7,1,2]=>0000000=>0000000 [6,5,2,1,4,7,8,3]=>0000000=>0000000 [4,2,7,5,1,8,6,3]=>0000000=>0000000 [2,1,6,4,8,7,5,3]=>0100000=>0000010 [7,8,1,4,2,6,5,3]=>0000000=>0000000 [6,5,1,3,4,2,8,7]=>0000010=>0100000 [4,8,5,3,1,7,2,6]=>0000000=>0000000 [7,4,5,3,2,8,1,6]=>0000000=>0000000 [5,8,3,6,1,4,2,7]=>0000000=>0000000 [1,6,8,7,4,2,3,5]=>1000000=>0000001 [7,6,1,8,3,2,4,5]=>0000000=>0000000 [7,1,8,6,3,4,2,5]=>0000000=>0000000 [1,8,7,6,4,3,2,5]=>1000000=>0000001 [2,1,7,5,6,3,8,4]=>0100000=>0000010 [3,1,6,7,5,8,2,4]=>0000000=>0000000 [7,8,1,6,5,3,2,4]=>0000000=>0000000 [7,8,2,1,4,5,6,3]=>0000000=>0000000 [4,2,6,1,8,5,7,3]=>0000000=>0000000 [2,8,1,5,4,6,7,3]=>0000000=>0000000 [1,2,8,3,6,5,7,4]=>1100000=>0000011 [2,6,4,1,7,5,8,3]=>0000000=>0000000 [7,6,5,8,1,4,2,3]=>0000000=>0000000 [5,8,6,7,3,2,1,4]=>0000000=>0000000 [1,6,4,3,7,2,8,5]=>1000000=>0000001 [4,1,6,3,8,2,7,5]=>0000000=>0000000 [7,8,1,3,4,2,6,5]=>0000000=>0000000 [2,8,5,7,4,3,1,6]=>0000000=>0000000 [7,2,5,8,3,4,1,6]=>0000000=>0000000 [3,5,7,8,4,1,2,6]=>0000000=>0000000 [5,4,7,3,6,8,1,2]=>0000000=>0000000 [1,4,7,2,5,8,3,6]=>1000000=>0000001 [3,6,2,4,7,1,5,8]=>0000001=>1000000 [7,6,3,5,4,8,1,2]=>0000000=>0000000 [4,5,6,3,8,7,1,2]=>0000000=>0000000 [4,8,2,6,1,5,3,7]=>0000000=>0000000 [7,1,3,6,8,4,2,5]=>0000000=>0000000 [1,8,3,6,7,4,5,2]=>1000000=>0000001 [7,1,5,8,3,6,2,4]=>0000000=>0000000 [3,1,6,4,7,2,5,8]=>0000001=>1000000 [5,8,7,1,2,4,3,6]=>0000000=>0000000 [6,8,5,1,3,4,2,7]=>0000000=>0000000 [7,6,5,1,4,3,2,8]=>0000001=>1000000 [2,6,4,5,1,3,8,7]=>0000010=>0100000 [3,5,6,4,1,8,2,7]=>0000000=>0000000 [7,8,5,4,1,3,2,6]=>0000000=>0000000 [7,8,2,3,4,1,6,5]=>0000000=>0000000 [4,2,6,3,8,1,7,5]=>0000000=>0000000 [7,2,3,5,4,1,8,6]=>0000000=>0000000 [6,2,4,3,1,5,7,8]=>0000011=>1100000 [4,2,8,3,1,7,5,6]=>0000000=>0000000 [5,3,7,4,1,6,2,8]=>0000001=>1000000 [2,4,7,3,6,1,8,5]=>0000000=>0000000 [5,8,7,6,3,1,2,4]=>0000000=>0000000 [7,5,6,8,1,4,3,2]=>0000000=>0000000 [2,4,7,1,6,5,3,8]=>0000001=>1000000 [5,2,7,1,8,4,6,3]=>0000000=>0000000 [4,2,1,3,6,5,8,7]=>0001010=>0101000 [4,2,6,1,8,5,3,7]=>0000000=>0000000 [7,8,2,1,4,5,3,6]=>0000000=>0000000 [7,8,4,1,5,3,6,2]=>0000000=>0000000 [7,5,1,6,4,3,8,2]=>0000000=>0000000 [5,8,1,6,3,4,7,2]=>0000000=>0000000 [6,8,1,7,5,2,3,4]=>0000000=>0000000 [5,6,1,7,4,8,2,3]=>0000000=>0000000 [7,8,5,1,6,4,2,3]=>0000000=>0000000 [2,6,5,7,3,4,8,1]=>0000000=>0000000 [1,6,4,7,5,8,2,3]=>1000000=>0000001 [1,3,7,4,6,8,2,5]=>1000000=>0000001 [5,2,4,7,3,6,8,1]=>0000000=>0000000 [8,1,6,5,7,2,4,3]=>0000000=>0000000 [1,2,7,6,8,3,4,5]=>1100000=>0000011 [7,8,1,6,2,4,5,3]=>0000000=>0000000 [2,8,1,7,4,3,6,5]=>0000000=>0000000 [3,7,4,1,8,5,2,6]=>0000000=>0000000 [6,7,1,4,8,3,2,5]=>0000000=>0000000 [2,7,1,8,4,5,3,6]=>0000000=>0000000 [6,1,2,8,4,3,5,7]=>0000000=>0000000 [5,1,2,4,8,3,6,7]=>0000000=>0000000 [4,1,3,2,8,5,6,7]=>0001000=>0001000 [3,2,1,4,8,5,6,7]=>0011000=>0001100 [4,3,6,1,5,8,2,7]=>0000000=>0000000 [2,6,1,4,5,8,3,7]=>0000000=>0000000 [1,6,2,5,8,3,4,7]=>1000000=>0000001 [8,4,2,1,7,3,6,5]=>0000000=>0000000 [7,4,2,1,8,5,3,6]=>0000000=>0000000 [1,5,4,2,8,3,6,7]=>1000000=>0000001 [6,4,3,1,5,8,2,7]=>0000000=>0000000 [5,4,3,2,1,8,6,7]=>0000100=>0010000 [2,5,3,4,1,8,6,7]=>0000100=>0010000 [4,3,5,2,1,8,6,7]=>0000100=>0010000 [3,7,6,8,4,5,2,1]=>0000000=>0000000 [1,7,6,8,5,4,2,3]=>1000000=>0000001 [2,4,8,6,7,3,5,1]=>0000000=>0000000 [6,3,5,8,4,7,2,1]=>0000000=>0000000 [5,4,3,8,6,7,2,1]=>0000000=>0000000 [3,2,8,5,7,4,6,1]=>0000000=>0000000 [3,1,8,5,7,6,2,4]=>0000000=>0000000 [5,8,6,7,4,3,2,1]=>0000000=>0000000 [4,8,7,5,6,3,2,1]=>0000000=>0000000 [6,2,1,4,3,8,5,7]=>0000000=>0000000 [2,1,6,4,3,5,8,7]=>0100010=>0100010 [8,4,2,1,3,6,5,7]=>0000000=>0000000 [6,4,2,1,8,3,5,7]=>0000000=>0000000 [4,6,2,1,3,8,5,7]=>0000000=>0000000 [2,6,1,4,3,8,5,7]=>0000000=>0000000 [4,8,2,1,3,6,5,7]=>0000000=>0000000 [2,6,1,4,8,3,5,7]=>0000000=>0000000 [2,6,4,1,8,3,5,7]=>0000000=>0000000 [2,6,4,8,1,3,5,7]=>0000000=>0000000 [4,6,2,8,1,3,5,7]=>0000000=>0000000 [6,2,4,1,8,3,5,7]=>0000000=>0000000 [4,2,1,6,8,3,5,7]=>0000000=>0000000 [4,2,1,3,8,6,5,7]=>0001000=>0001000 [4,2,1,8,3,6,5,7]=>0000000=>0000000 [2,4,8,1,6,3,5,7]=>0000000=>0000000 [2,8,6,4,1,3,5,7]=>0000000=>0000000 [4,8,6,2,1,3,5,7]=>0000000=>0000000 [3,2,6,1,5,4,8,7]=>0000010=>0100000 [4,3,6,1,5,2,8,7]=>0000010=>0100000 [4,3,8,2,6,1,7,5]=>0000000=>0000000 [4,3,8,1,7,2,6,5]=>0000000=>0000000 [4,3,8,1,5,2,7,6]=>0000000=>0000000 [2,1,5,4,8,3,7,6]=>0100000=>0000010 [5,4,7,6,8,1,3,2]=>0000000=>0000000 [4,3,7,1,8,5,6,2]=>0000000=>0000000 [4,3,6,5,8,1,7,2]=>0000000=>0000000 [7,4,6,5,8,1,3,2]=>0000000=>0000000 [8,4,6,1,3,2,7,5]=>0000000=>0000000 [8,1,6,3,4,2,7,5]=>0000000=>0000000 [8,3,5,2,6,1,7,4]=>0000000=>0000000 [8,2,7,1,5,3,6,4]=>0000000=>0000000 [2,1,8,3,5,4,7,6]=>0100000=>0000010 [8,1,3,2,5,4,7,6]=>0000000=>0000000 [8,1,5,2,4,3,7,6]=>0000000=>0000000 [8,2,4,1,5,3,7,6]=>0000000=>0000000 [3,2,8,4,6,1,7,5]=>0000000=>0000000 [3,2,8,1,7,4,6,5]=>0000000=>0000000 [3,2,7,1,8,5,6,4]=>0000000=>0000000 [3,2,6,5,8,1,7,4]=>0000000=>0000000 [7,6,8,1,5,2,4,3]=>0000000=>0000000 [7,6,8,1,3,2,5,4]=>0000000=>0000000 [7,1,8,2,6,4,5,3]=>0000000=>0000000 [5,4,7,2,6,3,8,1]=>0000000=>0000000 [6,1,8,4,7,2,5,3]=>0000000=>0000000 [2,1,6,5,8,3,7,4]=>0100000=>0000010 [3,2,1,5,8,4,6,7]=>0010000=>0000100 [2,8,3,1,5,4,6,7]=>0000000=>0000000 [2,4,8,3,5,7,6,1]=>0000000=>0000000 [1,8,4,2,5,3,6,7]=>1000000=>0000001 [8,1,5,3,2,4,6,7]=>0000000=>0000000 [3,8,1,5,2,4,6,7]=>0000000=>0000000 [5,4,1,3,8,2,6,7]=>0000000=>0000000 [1,5,7,3,8,4,2,6]=>1000000=>0000001 [5,1,4,7,8,3,2,6]=>0000000=>0000000 [1,4,3,8,7,5,6,2]=>1000000=>0000001 [1,6,8,5,3,7,4,2]=>1000000=>0000001 [6,4,8,1,7,3,5,2]=>0000000=>0000000 [6,4,8,7,1,5,2,3]=>0000000=>0000000 [7,1,6,8,4,3,2,5]=>0000000=>0000000 [1,6,7,2,8,4,3,5]=>1000000=>0000001 [6,7,1,4,2,8,3,5]=>0000000=>0000000 [6,3,7,1,4,8,2,5]=>0000000=>0000000 [3,7,8,1,5,2,4,6]=>0000000=>0000000 [7,1,2,8,5,3,4,6]=>0000000=>0000000 [1,7,2,8,4,5,3,6]=>1000000=>0000001 [4,2,1,7,8,5,3,6]=>0000000=>0000000 [7,2,6,3,4,1,8,5]=>0000000=>0000000 [2,7,1,8,3,5,4,6]=>0000000=>0000000 [2,1,7,3,5,8,4,6]=>0100000=>0000010 [1,2,7,5,8,3,4,6]=>1100000=>0000011 [8,7,1,3,6,2,4,5]=>0000000=>0000000 [8,2,1,7,3,5,6,4]=>0000000=>0000000 [7,8,2,6,3,1,5,4]=>0000000=>0000000 [2,8,4,1,6,7,5,3]=>0000000=>0000000 [8,3,7,1,5,6,2,4]=>0000000=>0000000 [8,1,6,2,7,4,5,3]=>0000000=>0000000 [1,8,5,2,6,7,4,3]=>1000000=>0000001 [5,2,1,8,6,7,4,3]=>0000000=>0000000 [7,8,1,6,4,2,5,3]=>0000000=>0000000 [8,7,6,5,1,4,2,3]=>0000000=>0000000 [8,7,6,1,5,3,4,2]=>0000000=>0000000 [8,1,7,5,6,4,3,2]=>0000000=>0000000 [1,8,6,7,5,4,3,2]=>1000000=>0000001 [6,5,3,1,2,4,8,7]=>0000010=>0100000 [4,5,3,6,1,2,8,7]=>0000010=>0100000 [8,1,4,7,3,6,2,5]=>0000000=>0000000 [6,3,4,7,5,8,1,2]=>0000000=>0000000 [4,7,1,3,5,8,6,2]=>0000000=>0000000 [4,8,3,7,1,2,6,5]=>0000000=>0000000 [8,1,7,4,5,2,3,6]=>0000000=>0000000 [5,3,7,8,2,4,6,1]=>0000000=>0000000 [5,3,7,6,2,1,8,4]=>0000000=>0000000 [2,1,6,7,5,8,3,4]=>0100000=>0000010 [2,1,5,7,3,6,8,4]=>0100000=>0000010 [2,4,7,1,6,5,8,3]=>0000000=>0000000 [3,4,6,2,7,8,5,1]=>0000000=>0000000 [3,5,6,4,7,1,8,2]=>0000000=>0000000 [3,4,1,5,7,6,8,2]=>0000000=>0000000 [4,2,1,7,3,5,8,6]=>0000000=>0000000 [7,3,1,5,4,2,8,6]=>0000000=>0000000 [6,3,1,4,2,8,5,7]=>0000000=>0000000 [8,4,1,5,2,7,6,3]=>0000000=>0000000 [3,6,2,7,1,4,8,5]=>0000000=>0000000 [2,7,5,4,1,3,8,6]=>0000000=>0000000 [6,4,3,2,1,8,5,7]=>0000000=>0000000 [1,7,6,2,4,8,3,5]=>1000000=>0000001 [7,1,8,5,3,6,4,2]=>0000000=>0000000 [1,8,5,7,2,4,6,3]=>1000000=>0000001 [7,2,8,5,6,1,4,3]=>0000000=>0000000 [3,6,5,8,1,4,2,7]=>0000000=>0000000 [4,3,6,7,8,1,2,5]=>0000000=>0000000 [5,4,6,7,2,8,1,3]=>0000000=>0000000 [3,5,7,1,4,8,2,6]=>0000000=>0000000 [8,1,5,2,7,4,6,3]=>0000000=>0000000 [5,4,1,6,8,2,3,7]=>0000000=>0000000 [5,3,6,4,7,8,1,2]=>0000000=>0000000 [6,4,7,8,1,5,3,2]=>0000000=>0000000 [6,3,7,8,5,2,4,1]=>0000000=>0000000 [4,6,8,2,7,1,5,3]=>0000000=>0000000 [2,5,8,7,1,3,6,4]=>0000000=>0000000 [8,2,7,6,5,1,4,3]=>0000000=>0000000 [4,3,8,7,6,2,1,5]=>0000000=>0000000 [4,7,3,8,6,5,1,2]=>0000000=>0000000 [5,8,7,3,6,4,2,1]=>0000000=>0000000 [2,8,7,6,5,4,1,3]=>0000000=>0000000 [5,4,3,2,1,6,7,8,9,10]=>000011111=>111110000 [6,4,3,2,7,1,5,8,9,10]=>000000111=>111000000 [7,5,3,8,2,6,1,4,9,10]=>000000011=>110000000 [8,6,9,4,7,2,5,1,3,10]=>000000001=>100000000 [7,8,5,6,3,1,4,2]=>0000000=>0000000 [7,5,8,3,1,4,2,6]=>0000000=>0000000 [7,8,5,3,1,6,2,4]=>0000000=>0000000 [7,8,5,3,1,6,4,2]=>0000000=>0000000 [7,8,5,3,6,4,1,2]=>0000000=>0000000 [7,5,8,3,1,2,6,4]=>0000000=>0000000 [7,5,6,3,4,1,8,2]=>0000000=>0000000 [7,5,3,1,6,4,8,2]=>0000000=>0000000 [7,5,3,6,4,1,8,2]=>0000000=>0000000 [7,5,3,8,4,6,1,2]=>0000000=>0000000 [7,5,3,8,4,1,6,2]=>0000000=>0000000 [7,5,3,8,1,4,6,2]=>0000000=>0000000 [7,5,3,1,8,4,6,2]=>0000000=>0000000 [7,5,3,1,8,2,6,4]=>0000000=>0000000 [7,5,3,1,8,6,2,4]=>0000000=>0000000 [7,5,3,8,6,1,4,2]=>0000000=>0000000 [7,5,3,8,1,4,2,6]=>0000000=>0000000 [7,5,3,8,6,1,2,4]=>0000000=>0000000 [7,5,8,6,3,1,2,4]=>0000000=>0000000 [7,5,8,6,3,1,4,2]=>0000000=>0000000 [7,5,8,6,3,4,1,2]=>0000000=>0000000 [7,5,6,8,3,1,4,2]=>0000000=>0000000 [7,5,6,3,8,1,2,4]=>0000000=>0000000 [7,5,6,3,1,8,4,2]=>0000000=>0000000 [7,5,3,6,1,8,4,2]=>0000000=>0000000 [7,5,3,4,1,6,8,2]=>0000000=>0000000 [4,6,8,3,5,7,1,2]=>0000000=>0000000 [6,8,1,2,4,5,7,3]=>0000000=>0000000 [8,3,5,2,4,1,6,7]=>0000000=>0000000 [3,5,7,2,4,6,1,8]=>0000001=>1000000 [4,2,5,7,3,6,1,8]=>0000001=>1000000 [4,5,2,8,3,1,6,7]=>0000000=>0000000 [2,1,6,8,4,7,3,5]=>0100000=>0000010 [1,2,5,8,3,6,7,4]=>1100000=>0000011 [5,3,6,8,4,7,1,2]=>0000000=>0000000 [4,3,6,2,7,5,1,8]=>0000001=>1000000 [4,3,1,7,8,2,6,5]=>0000000=>0000000 [5,4,7,3,8,6,1,2]=>0000000=>0000000 [5,8,4,7,6,3,1,2]=>0000000=>0000000 [5,8,7,1,4,2,6,3]=>0000000=>0000000 [8,3,5,1,2,7,6,4]=>0000000=>0000000 [4,7,3,6,5,2,1,8]=>0000001=>1000000 [5,3,7,6,4,2,1,8]=>0000001=>1000000 [5,3,1,6,4,2,8,7]=>0000010=>0100000 [1,3,8,5,4,2,7,6]=>1000000=>0000001 [1,8,3,6,2,7,5,4]=>1000000=>0000001 [1,6,8,7,4,2,5,3]=>1000000=>0000001 [6,4,8,7,5,3,1,2]=>0000000=>0000000 [3,1,2,7,6,4,8,5]=>0010000=>0000100 [5,2,6,3,7,4,1,8]=>0000001=>1000000 [2,8,5,3,1,6,4,7]=>0000000=>0000000 [2,1,7,3,8,5,4,6]=>0100000=>0000010 [1,6,2,3,7,8,5,4]=>1000000=>0000001 [1,6,7,2,8,4,5,3]=>1000000=>0000001 [6,3,7,4,8,5,1,2]=>0000000=>0000000 [5,7,1,8,2,4,6,3]=>0000000=>0000000 [5,1,2,7,8,3,6,4]=>0000000=>0000000 [4,2,1,7,3,8,5,6]=>0000000=>0000000 [6,2,8,4,3,1,5,7]=>0000000=>0000000 [6,4,2,7,3,5,1,8]=>0000001=>1000000 [7,3,2,1,8,4,5,6]=>0000000=>0000000 [3,7,2,8,6,1,4,5]=>0000000=>0000000 [7,1,8,2,4,5,6,3]=>0000000=>0000000 [8,7,6,1,2,4,5,3]=>0000000=>0000000 [8,3,6,5,2,1,4,7]=>0000000=>0000000 [8,2,4,1,6,5,3,7]=>0000000=>0000000 [8,5,1,2,7,3,6,4]=>0000000=>0000000 [6,1,8,2,3,7,5,4]=>0000000=>0000000 [8,1,2,6,4,3,7,5]=>0000000=>0000000 [1,7,2,8,3,6,5,4]=>1000000=>0000001 [7,3,8,6,5,4,1,2]=>0000000=>0000000 [8,1,7,3,2,6,5,4]=>0000000=>0000000 [4,3,1,2,8,7,6,5]=>0001000=>0001000 [8,6,4,3,1,5,7,2]=>0000000=>0000000 [8,6,4,1,5,2,7,3]=>0000000=>0000000 [8,7,2,4,5,3,1,6]=>0000000=>0000000 [8,5,1,2,6,7,3,4]=>0000000=>0000000 [8,5,1,6,4,2,7,3]=>0000000=>0000000 [8,5,1,3,6,4,7,2]=>0000000=>0000000 [7,4,8,3,1,6,2,5]=>0000000=>0000000 [7,1,5,8,3,2,6,4]=>0000000=>0000000 [5,7,4,1,8,2,6,3]=>0000000=>0000000 [5,7,4,3,1,8,6,2]=>0000000=>0000000 [8,5,7,4,6,1,3,2]=>0000000=>0000000 [1,8,7,2,5,4,6,3]=>1000000=>0000001 [4,3,1,8,7,5,2,6]=>0000000=>0000000 [3,1,4,6,8,7,2,5]=>0000000=>0000000 [1,6,2,4,8,7,5,3]=>1000000=>0000001 [7,1,6,4,8,5,2,3]=>0000000=>0000000 [1,3,7,2,6,8,4,5]=>1000000=>0000001 [6,1,2,7,8,5,3,4]=>0000000=>0000000 [6,1,2,7,4,8,5,3]=>0000000=>0000000 [3,1,6,4,7,8,5,2]=>0000000=>0000000 [5,7,1,3,8,4,6,2]=>0000000=>0000000 [5,7,1,8,4,2,6,3]=>0000000=>0000000 [5,7,1,2,8,6,3,4]=>0000000=>0000000 [4,2,6,3,8,1,5,7]=>0000000=>0000000 [4,2,6,7,3,5,1,8]=>0000001=>1000000 [3,6,2,4,7,5,1,8]=>0000001=>1000000 [3,6,2,4,1,8,5,7]=>0000000=>0000000 [7,1,4,5,2,8,6,3]=>0000000=>0000000 [4,7,3,1,5,8,6,2]=>0000000=>0000000 [4,2,8,1,5,7,3,6]=>0000000=>0000000 [8,5,7,6,1,4,2,3]=>0000000=>0000000 [1,8,2,4,6,7,3,5]=>1000000=>0000001 [1,2,7,4,8,6,3,5]=>1100000=>0000011 [1,2,7,8,3,6,5,4]=>1100000=>0000011 [1,8,5,7,4,3,2,6]=>1000000=>0000001 [7,1,5,8,3,4,6,2]=>0000000=>0000000 [7,1,5,8,4,3,2,6]=>0000000=>0000000 [7,1,2,5,8,3,6,4]=>0000000=>0000000 [2,7,1,4,8,3,5,6]=>0000000=>0000000 [7,1,4,6,5,8,3,2]=>0000000=>0000000 [7,1,2,3,8,5,4,6]=>0000000=>0000000 [7,1,3,4,2,6,8,5]=>0000000=>0000000 [3,6,7,1,4,8,5,2]=>0000000=>0000000 [3,5,1,4,8,6,2,7]=>0000000=>0000000 [3,6,2,4,7,8,1,5]=>0000000=>0000000 [6,5,8,7,2,3,1,4]=>0000000=>0000000 [3,4,7,2,5,8,1,6]=>0000000=>0000000 [4,3,8,1,2,7,5,6]=>0000000=>0000000 [5,6,7,8,1,3,4,2]=>0000000=>0000000 [5,7,8,6,1,2,3,4]=>0000000=>0000000 [2,8,3,1,5,6,4,7]=>0000000=>0000000 [3,8,7,1,5,4,2,6]=>0000000=>0000000 [4,3,1,7,6,8,2,5]=>0000000=>0000000 [3,4,1,7,5,6,8,2]=>0000000=>0000000 [2,4,6,1,7,5,8,3]=>0000000=>0000000 [4,2,1,5,6,3,7,8]=>0000011=>1100000 [5,8,1,6,4,3,2,7]=>0000000=>0000000 [5,8,1,6,3,7,2,4]=>0000000=>0000000 [7,6,5,1,3,8,2,4]=>0000000=>0000000 [7,6,5,1,3,4,8,2]=>0000000=>0000000 [7,2,6,4,1,3,8,5]=>0000000=>0000000 [4,6,3,8,5,1,7,2]=>0000000=>0000000 [2,6,4,3,1,5,7,8]=>0000011=>1100000 [3,6,4,8,1,7,2,5]=>0000000=>0000000 [7,3,8,4,1,5,2,6]=>0000000=>0000000 [4,2,8,3,6,1,5,7]=>0000000=>0000000 [6,7,5,8,2,1,4,3]=>0000000=>0000000 [6,8,5,7,2,1,3,4]=>0000000=>0000000 [6,3,5,2,1,7,4,8]=>0000001=>1000000 [3,6,5,4,2,8,1,7]=>0000000=>0000000 [7,4,5,3,8,2,1,6]=>0000000=>0000000 [1,6,4,7,2,5,3,8]=>1000001=>1000001 [1,4,3,7,2,6,5,8]=>1000001=>1000001 [1,5,7,2,4,8,3,6]=>1000000=>0000001 [1,6,5,7,2,4,3,8]=>1000001=>1000001 [1,7,6,2,8,3,4,5]=>1000000=>0000001 [1,4,2,3,5,8,7,6]=>1001100=>0011001 [1,5,2,3,4,8,7,6]=>1000100=>0010001 [1,6,5,2,3,8,7,4]=>1000000=>0000001 [1,7,6,5,2,8,4,3]=>1000000=>0000001 [1,6,5,2,3,8,4,7]=>1000000=>0000001 [1,6,7,5,2,3,8,4]=>1000000=>0000001 [1,7,5,2,8,4,3,6]=>1000000=>0000001 [1,7,5,6,2,8,3,4]=>1000000=>0000001 [1,5,7,6,2,4,8,3]=>1000000=>0000001 [1,4,7,6,2,5,8,3]=>1000000=>0000001 [1,2,6,5,3,7,4,8]=>1100001=>1000011 [1,3,7,5,2,6,8,4]=>1000000=>0000001 [1,7,4,6,2,8,3,5]=>1000000=>0000001 [1,7,3,5,2,8,4,6]=>1000000=>0000001 [1,3,7,4,2,6,8,5]=>1000000=>0000001 [1,4,7,3,2,5,8,6]=>1000000=>0000001 [1,5,7,3,2,4,8,6]=>1000000=>0000001 [1,7,3,4,2,8,5,6]=>1000000=>0000001 [1,7,4,2,8,5,3,6]=>1000000=>0000001 [1,6,7,4,2,3,8,5]=>1000000=>0000001 [1,4,3,2,5,8,6,7]=>1001100=>0011001 [1,5,3,2,4,8,6,7]=>1000100=>0010001 [1,6,4,2,3,8,5,7]=>1000000=>0000001 [1,7,6,4,2,8,5,3]=>1000000=>0000001 [1,6,4,2,3,8,7,5]=>1000000=>0000001 [1,5,3,2,4,8,7,6]=>1000100=>0010001 [6,8,5,4,3,2,1,7]=>0000000=>0000000 [7,6,5,1,3,8,4,2]=>0000000=>0000000 [5,6,8,4,3,1,7,2]=>0000000=>0000000 [7,5,8,4,3,2,1,6]=>0000000=>0000000 [4,8,5,7,3,2,1,6]=>0000000=>0000000 [7,8,1,2,4,3,5,6]=>0000000=>0000000 [7,8,2,1,4,3,6,5]=>0000000=>0000000 [3,4,6,5,7,8,1,2]=>0000000=>0000000 [4,3,6,5,8,7,1,2]=>0000000=>0000000 [4,2,6,1,8,3,7,5]=>0000000=>0000000 [6,7,3,8,4,5,1,2]=>0000000=>0000000 [6,7,4,5,1,8,2,3]=>0000000=>0000000 [4,7,5,6,1,8,2,3]=>0000000=>0000000 [4,5,3,8,6,7,1,2]=>0000000=>0000000 [5,6,3,8,4,7,1,2]=>0000000=>0000000 [5,6,2,7,3,4,1,8]=>0000001=>1000000 [4,5,1,8,6,7,2,3]=>0000000=>0000000 [7,8,4,5,1,6,2,3]=>0000000=>0000000 [4,5,2,3,1,8,6,7]=>0000100=>0010000 [5,6,2,3,1,8,4,7]=>0000000=>0000000 [5,6,3,4,1,8,2,7]=>0000000=>0000000 [3,6,4,5,1,8,2,7]=>0000000=>0000000 [2,6,4,8,1,5,3,7]=>0000000=>0000000 [2,8,3,4,1,6,5,7]=>0000000=>0000000 [7,8,1,5,3,6,2,4]=>0000000=>0000000 [1,6,4,7,3,8,2,5]=>1000000=>0000001 [1,7,2,8,4,6,3,5]=>1000000=>0000001 [1,7,5,8,2,6,3,4]=>1000000=>0000001 [6,7,1,8,2,5,3,4]=>0000000=>0000000 [6,7,1,8,4,5,2,3]=>0000000=>0000000 [6,7,5,8,1,4,2,3]=>0000000=>0000000 [5,8,6,7,2,3,1,4]=>0000000=>0000000 [6,7,2,3,1,8,4,5]=>0000000=>0000000 [6,7,2,8,1,4,3,5]=>0000000=>0000000 [6,7,3,4,1,8,2,5]=>0000000=>0000000 [2,7,5,8,1,4,3,6]=>0000000=>0000000 [2,3,1,8,6,7,4,5]=>0010000=>0000100 [7,8,2,3,1,6,4,5]=>0000000=>0000000 [2,8,1,4,3,7,5,6]=>0000000=>0000000 [2,8,1,7,3,5,4,6]=>0000000=>0000000 [4,5,1,7,3,8,2,6]=>0000000=>0000000 [3,8,1,5,2,7,4,6]=>0000000=>0000000 [3,4,1,8,6,7,2,5]=>0000000=>0000000 [7,8,3,4,1,6,2,5]=>0000000=>0000000 [2,5,4,1,6,3,8,7]=>0000010=>0100000 [3,6,5,1,2,4,8,7]=>0000010=>0100000 [5,6,7,8,1,4,3,2]=>0000000=>0000000 [2,1,4,7,6,3,8,5]=>0100000=>0000010 [7,4,3,8,2,1,5,6]=>0000000=>0000000 [2,4,1,5,8,3,7,6]=>0000000=>0000000 [2,1,5,8,7,3,4,6]=>0100000=>0000010 [8,5,7,3,6,1,4,2]=>0000000=>0000000 [4,2,5,1,6,7,8,3]=>0000000=>0000000 [6,1,8,5,2,7,4,3]=>0000000=>0000000 [6,8,7,2,5,3,1,4]=>0000000=>0000000 [7,8,2,5,6,1,4,3]=>0000000=>0000000 [7,8,4,2,5,1,6,3]=>0000000=>0000000 [6,1,2,3,7,5,8,4]=>0000000=>0000000 [4,1,6,3,5,8,7,2]=>0000000=>0000000 [8,6,7,1,5,4,3,2]=>0000000=>0000000 [2,1,6,5,8,4,7,3]=>0100000=>0000010 [2,6,4,8,7,3,5,1]=>0000000=>0000000 [7,4,8,6,3,2,5,1]=>0000000=>0000000 [2,1,8,4,3,7,5,6]=>0100000=>0000010 [6,3,8,2,4,5,7,1]=>0000000=>0000000 [5,8,2,4,3,1,6,7]=>0000000=>0000000 [7,3,5,8,1,4,2,6]=>0000000=>0000000 [3,8,7,6,1,4,2,5]=>0000000=>0000000 [5,1,8,3,6,7,2,4]=>0000000=>0000000 [3,6,1,4,7,8,5,2]=>0000000=>0000000 [1,6,8,4,7,5,2,3]=>1000000=>0000001 [6,8,1,3,5,7,2,4]=>0000000=>0000000 [7,6,1,4,3,8,2,5]=>0000000=>0000000 [8,4,2,6,7,5,3,1]=>0000000=>0000000 [7,4,1,6,8,2,5,3]=>0000000=>0000000 [1,8,6,2,5,3,4,7]=>1000000=>0000001 [4,7,1,2,5,3,8,6]=>0000000=>0000000 [5,7,8,6,2,1,4,3]=>0000000=>0000000 [1,8,6,4,5,2,3,7]=>1000000=>0000001 [1,4,7,2,6,8,3,5]=>1000000=>0000001 [2,5,4,3,6,8,1,7]=>0000000=>0000000 [3,8,5,4,6,2,1,7]=>0000000=>0000000 [4,8,2,1,3,7,5,6]=>0000000=>0000000 [1,8,3,2,5,6,7,4]=>1000000=>0000001 [6,4,1,2,7,5,8,3]=>0000000=>0000000 [4,3,7,8,5,1,6,2]=>0000000=>0000000 [1,2,7,3,6,5,8,4]=>1100000=>0000011 [2,8,7,6,3,4,1,5]=>0000000=>0000000 [5,8,2,6,3,4,1,7]=>0000000=>0000000 [1,2,4,5,8,3,7,6]=>1100000=>0000011 [4,8,1,5,2,3,7,6]=>0000000=>0000000 [2,4,6,3,7,1,8,5]=>0000000=>0000000 [6,5,8,7,1,3,4,2]=>0000000=>0000000 [1,5,2,7,4,3,8,6]=>1000000=>0000001 [7,6,1,2,8,3,5,4]=>0000000=>0000000 [6,7,8,1,5,2,4,3]=>0000000=>0000000 [5,7,8,4,1,2,6,3]=>0000000=>0000000 [4,7,8,5,6,1,3,2]=>0000000=>0000000 [6,5,4,1,2,3,8,7]=>0000010=>0100000 [7,5,1,6,2,3,8,4]=>0000000=>0000000 [4,5,6,7,8,1,3,2]=>0000000=>0000000 [8,1,3,6,7,4,5,2]=>0000000=>0000000 [4,5,3,2,8,1,6,7]=>0000000=>0000000 [7,4,1,5,3,2,6,8]=>0000001=>1000000 [8,1,5,4,3,2,6,7]=>0000000=>0000000 [8,1,6,4,2,5,3,7]=>0000000=>0000000 [6,5,3,1,2,7,4,8]=>0000001=>1000000 [5,6,3,8,1,4,2,7]=>0000000=>0000000 [4,6,3,8,2,1,5,7]=>0000000=>0000000 [4,7,8,3,2,1,5,6]=>0000000=>0000000 [5,7,8,3,1,4,2,6]=>0000000=>0000000 [8,1,7,2,5,4,3,6]=>0000000=>0000000 [8,1,7,2,4,5,6,3]=>0000000=>0000000 [7,6,1,2,4,5,8,3]=>0000000=>0000000 [7,5,1,3,2,6,8,4]=>0000000=>0000000 [8,1,6,3,2,5,7,4]=>0000000=>0000000 [5,4,2,3,1,6,8,7]=>0000110=>0110000 [6,3,2,1,5,7,4,8]=>0000001=>1000000 [3,6,5,8,2,4,1,7]=>0000000=>0000000 [6,2,4,5,8,3,1,7]=>0000000=>0000000 [4,8,1,2,5,6,3,7]=>0000000=>0000000 [8,1,3,5,2,6,4,7]=>0000000=>0000000 [5,2,1,6,3,8,4,7]=>0000000=>0000000 [6,1,4,5,8,3,2,7]=>0000000=>0000000 [6,5,4,3,8,2,1,7]=>0000000=>0000000 [4,6,8,3,7,2,5,1]=>0000000=>0000000 [4,7,8,5,3,1,2,6]=>0000000=>0000000 [8,5,4,7,6,2,1,3]=>0000000=>0000000 [5,8,7,3,1,4,6,2]=>0000000=>0000000 [8,5,7,4,3,6,1,2]=>0000000=>0000000 [1,3,8,6,4,7,5,2]=>1000000=>0000001 [7,6,8,1,4,3,2,5]=>0000000=>0000000 [3,2,6,8,5,7,4,1]=>0000000=>0000000 [1,6,4,7,2,3,8,5]=>1000000=>0000001 [3,1,7,5,2,8,4,6]=>0000000=>0000000 [1,7,4,5,2,8,3,6]=>1000000=>0000001 [6,3,2,1,7,8,4,5]=>0000000=>0000000 [5,7,3,8,2,1,4,6]=>0000000=>0000000 [3,7,1,8,4,2,5,6]=>0000000=>0000000 [4,2,1,3,7,5,8,6]=>0001000=>0001000 [8,4,2,1,3,7,6,5]=>0000000=>0000000 [3,6,2,8,7,1,5,4]=>0000000=>0000000 [7,3,2,8,1,6,5,4]=>0000000=>0000000 [3,8,7,2,6,5,4,1]=>0000000=>0000000 [4,2,7,8,6,1,5,3]=>0000000=>0000000 [5,8,4,2,7,1,6,3]=>0000000=>0000000 [8,5,3,1,7,2,6,4]=>0000000=>0000000 [8,2,1,6,3,7,5,4]=>0000000=>0000000 [1,4,6,8,2,7,5,3]=>1000000=>0000001 [8,2,1,7,6,5,4,3]=>0000000=>0000000 [8,6,7,5,1,4,3,2]=>0000000=>0000000 [6,4,7,3,2,1,8,5]=>0000000=>0000000 [4,8,7,3,2,1,6,5]=>0000000=>0000000 [6,4,3,7,2,1,8,5]=>0000000=>0000000 [5,3,7,6,2,1,4,8]=>0000001=>1000000 [3,8,7,6,2,1,4,5]=>0000000=>0000000 [5,8,4,2,6,1,3,7]=>0000000=>0000000 [4,8,7,2,5,1,3,6]=>0000000=>0000000 [4,3,7,2,5,1,8,6]=>0000000=>0000000 [5,4,2,6,7,1,3,8]=>0000001=>1000000 [2,8,7,6,5,1,3,4]=>0000000=>0000000 [6,4,7,3,1,5,8,2]=>0000000=>0000000 [4,8,7,3,1,5,6,2]=>0000000=>0000000 [6,5,3,7,1,4,8,2]=>0000000=>0000000 [6,4,3,7,1,5,8,2]=>0000000=>0000000 [5,3,7,6,1,4,8,2]=>0000000=>0000000 [3,8,7,6,1,4,5,2]=>0000000=>0000000 [5,8,4,2,1,7,3,6]=>0000000=>0000000 [6,4,7,2,1,5,3,8]=>0000001=>1000000 [5,8,3,2,1,4,7,6]=>0000000=>0000000 [6,3,7,2,1,4,5,8]=>0000001=>1000000 [6,5,2,7,1,4,3,8]=>0000001=>1000000 [5,8,2,6,1,4,3,7]=>0000000=>0000000 [2,8,7,6,1,4,3,5]=>0000000=>0000000 [5,8,4,1,6,7,3,2]=>0000000=>0000000 [6,5,3,1,8,4,7,2]=>0000000=>0000000 [6,4,3,1,5,8,7,2]=>0000000=>0000000 [5,8,2,1,6,4,3,7]=>0000000=>0000000 [6,4,2,1,5,8,3,7]=>0000000=>0000000 [4,2,7,1,5,6,3,8]=>0000001=>1000000 [6,5,1,7,8,4,3,2]=>0000000=>0000000 [5,4,1,6,7,8,3,2]=>0000000=>0000000 [4,3,1,6,5,7,8,2]=>0000000=>0000000 [5,2,1,6,7,4,3,8]=>0000001=>1000000 [4,2,1,6,5,7,3,8]=>0000001=>1000000 [6,1,7,8,5,4,3,2]=>0000000=>0000000 [5,1,7,6,8,4,3,2]=>0000000=>0000000 [4,5,8,1,7,2,3,6]=>0000000=>0000000 [8,1,3,5,7,2,4,6]=>0000000=>0000000 [3,6,8,1,7,2,4,5]=>0000000=>0000000 [8,2,3,5,6,7,1,4]=>0000000=>0000000 [8,7,2,1,6,3,4,5]=>0000000=>0000000 [8,6,4,1,7,5,3,2]=>0000000=>0000000 [2,3,6,7,8,1,5,4]=>0000000=>0000000 [3,1,7,2,5,4,8,6]=>0000000=>0000000 [7,1,8,2,5,3,6,4]=>0000000=>0000000 [7,3,8,4,5,1,6,2]=>0000000=>0000000 [8,1,2,6,5,4,3,7]=>0000000=>0000000 [8,2,7,5,6,1,4,3]=>0000000=>0000000 [3,6,8,1,7,5,4,2]=>0000000=>0000000 [8,2,6,7,5,4,1,3]=>0000000=>0000000 [8,6,7,2,3,1,5,4]=>0000000=>0000000 [8,1,7,6,5,4,3,2]=>0000000=>0000000 [8,6,1,5,2,7,4,3]=>0000000=>0000000 [8,5,1,7,4,2,6,3]=>0000000=>0000000 [2,1,7,8,3,6,5,4]=>0100000=>0000010 [7,8,1,5,2,6,3,4]=>0000000=>0000000 [6,4,1,5,2,3,8,7]=>0000010=>0100000 [5,3,7,4,6,8,1,2]=>0000000=>0000000 [4,2,6,3,8,5,1,7]=>0000000=>0000000 [5,8,2,1,7,6,4,3]=>0000000=>0000000 [8,3,2,4,1,7,5,6]=>0000000=>0000000 [7,8,3,1,5,4,6,2]=>0000000=>0000000 [7,2,8,1,4,6,5,3]=>0000000=>0000000 [5,7,1,8,3,6,2,4]=>0000000=>0000000 [4,2,1,3,6,7,8,5]=>0001000=>0001000 [6,3,5,4,1,2,8,7]=>0000010=>0100000 [3,4,7,2,8,1,5,6]=>0000000=>0000000 [4,2,3,5,8,1,6,7]=>0000000=>0000000 [3,2,4,6,1,5,8,7]=>0000010=>0100000 [6,5,4,3,1,8,7,2]=>0000000=>0000000 [8,7,5,4,3,1,6,2]=>0000000=>0000000 [3,4,6,2,8,5,1,7]=>0000000=>0000000 [3,4,7,2,8,5,6,1]=>0000000=>0000000 [3,5,2,6,8,4,1,7]=>0000000=>0000000 [3,5,2,7,4,8,6,1]=>0000000=>0000000 [3,5,6,2,8,4,1,7]=>0000000=>0000000 [3,5,7,2,4,8,6,1]=>0000000=>0000000 [3,5,7,8,4,1,6,2]=>0000000=>0000000 [3,5,8,2,4,1,6,7]=>0000000=>0000000 [3,6,2,7,4,8,5,1]=>0000000=>0000000 [3,6,2,7,8,5,4,1]=>0000000=>0000000 [3,6,8,2,4,5,1,7]=>0000000=>0000000 [3,7,2,1,4,8,6,5]=>0000000=>0000000 [3,7,2,8,4,5,6,1]=>0000000=>0000000 [4,1,5,7,3,8,6,2]=>0000000=>0000000 [4,1,5,7,8,2,6,3]=>0000000=>0000000 [4,1,5,8,3,2,6,7]=>0000000=>0000000 [4,1,6,3,7,8,5,2]=>0000000=>0000000 [4,1,6,3,8,5,2,7]=>0000000=>0000000 [4,1,6,8,3,5,2,7]=>0000000=>0000000 [4,1,7,3,8,5,6,2]=>0000000=>0000000 [4,1,8,3,2,5,6,7]=>0000000=>0000000 [4,5,2,7,3,8,6,1]=>0000000=>0000000 [4,5,7,3,2,8,6,1]=>0000000=>0000000 [4,5,8,3,2,1,6,7]=>0000000=>0000000 [4,6,2,8,3,5,1,7]=>0000000=>0000000 [5,1,2,6,8,4,3,7]=>0000000=>0000000 [5,1,6,3,7,8,2,4]=>0000000=>0000000 [5,1,6,3,8,4,2,7]=>0000000=>0000000 [5,1,6,7,4,8,2,3]=>0000000=>0000000 [5,6,2,7,4,8,1,3]=>0000000=>0000000 [5,6,2,7,8,4,1,3]=>0000000=>0000000 [5,7,8,3,4,2,6,1]=>0000000=>0000000 [6,1,2,3,7,8,5,4]=>0000000=>0000000 [6,1,2,7,8,5,4,3]=>0000000=>0000000 [6,7,2,8,4,5,3,1]=>0000000=>0000000 [7,1,2,3,8,5,6,4]=>0000000=>0000000 [7,1,8,3,4,5,6,2]=>0000000=>0000000 [2,4,6,1,8,5,7,3]=>0000000=>0000000 [3,5,8,6,1,2,4,7]=>0000000=>0000000 [3,5,1,8,2,4,7,6]=>0000000=>0000000 [3,1,6,8,2,4,7,5]=>0000000=>0000000 [5,6,4,8,2,1,7,3]=>0000000=>0000000 [2,5,7,8,6,3,1,4]=>0000000=>0000000 [2,4,8,1,5,6,7,3]=>0000000=>0000000 [8,4,1,2,5,6,3,7]=>0000000=>0000000 [8,3,1,6,5,2,4,7]=>0000000=>0000000 [2,5,3,8,7,6,1,4]=>0000000=>0000000 [5,1,8,4,7,6,3,2]=>0000000=>0000000 [8,2,3,6,5,1,7,4]=>0000000=>0000000 [4,8,6,5,7,3,2,1]=>0000000=>0000000 [4,8,5,6,7,3,2,1]=>0000000=>0000000 [7,2,8,6,5,4,1,3]=>0000000=>0000000 [6,3,2,8,5,1,7,4]=>0000000=>0000000 [6,8,5,4,3,1,7,2]=>0000000=>0000000 [7,6,3,8,5,2,1,4]=>0000000=>0000000 [5,8,7,4,1,6,3,2]=>0000000=>0000000 [6,8,3,4,5,1,7,2]=>0000000=>0000000 [5,2,8,4,1,6,7,3]=>0000000=>0000000 [4,1,3,6,8,2,5,7]=>0000000=>0000000 [8,3,2,1,5,4,7,6]=>0000000=>0000000 [2,5,1,8,4,3,7,6]=>0000000=>0000000 [5,3,6,2,4,8,1,7]=>0000000=>0000000 [1,6,2,4,5,8,3,7]=>1000000=>0000001 [5,3,2,1,6,8,4,7]=>0000000=>0000000 [2,6,5,8,1,3,4,7]=>0000000=>0000000 [8,3,4,1,5,2,7,6]=>0000000=>0000000 [8,2,6,4,1,7,3,5]=>0000000=>0000000 [5,4,6,8,1,2,7,3]=>0000000=>0000000 [3,4,7,8,6,2,5,1]=>0000000=>0000000 [7,5,8,2,4,6,1,3]=>0000000=>0000000 [8,2,7,4,6,1,3,5]=>0000000=>0000000 [4,7,3,2,8,1,6,5]=>0000000=>0000000 [1,2,8,3,5,6,7,4]=>1100000=>0000011 [4,2,3,7,1,8,6,5]=>0000000=>0000000 [3,2,6,4,8,1,7,5]=>0000000=>0000000 [8,2,1,6,7,3,4,5]=>0000000=>0000000 [2,7,8,5,4,1,3,6]=>0000000=>0000000 [1,7,5,3,8,4,2,6]=>1000000=>0000001 [4,7,5,3,1,2,8,6]=>0000000=>0000000 [5,6,7,3,8,4,2,1]=>0000000=>0000000 [5,7,3,2,4,1,8,6]=>0000000=>0000000 [8,4,1,3,7,2,5,6]=>0000000=>0000000 [2,8,4,7,1,3,5,6]=>0000000=>0000000 [3,5,2,8,6,1,7,4]=>0000000=>0000000 [1,7,6,3,2,5,8,4]=>1000000=>0000001 [3,8,1,5,6,2,7,4]=>0000000=>0000000 [7,1,5,2,8,6,4,3]=>0000000=>0000000 [1,8,5,3,6,2,7,4]=>1000000=>0000001 [6,5,8,7,2,1,3,4]=>0000000=>0000000 [3,6,2,1,7,5,8,4]=>0000000=>0000000 [4,7,2,6,5,8,1,3]=>0000000=>0000000 [6,8,1,4,2,7,3,5]=>0000000=>0000000 [6,3,4,7,1,8,2,5]=>0000000=>0000000 [3,4,7,8,2,5,6,1]=>0000000=>0000000 [1,8,2,4,5,6,7,3]=>1000000=>0000001 [3,2,5,7,6,1,8,4]=>0000000=>0000000 [4,3,5,6,1,8,7,2]=>0000000=>0000000 [1,2,3,4,8,6,5,7]=>1111000=>0001111 [1,2,3,8,5,4,6,7]=>1110000=>0000111 [1,2,3,8,5,6,4,7]=>1110000=>0000111 [1,2,3,8,6,5,4,7]=>1110000=>0000111 [1,8,3,4,2,5,6,7]=>1000000=>0000001 [1,2,8,5,4,3,6,7]=>1100000=>0000011 [1,8,4,3,2,5,6,7]=>1000000=>0000001 [8,4,7,3,6,5,2,1]=>0000000=>0000000 [8,1,7,4,6,5,3,2]=>0000000=>0000000 [8,4,7,1,6,5,3,2]=>0000000=>0000000 [8,3,7,1,6,5,4,2]=>0000000=>0000000 [8,2,7,1,6,5,4,3]=>0000000=>0000000 [8,1,7,2,6,5,4,3]=>0000000=>0000000 [8,3,7,1,6,4,5,2]=>0000000=>0000000 [8,4,7,2,6,3,5,1]=>0000000=>0000000 [8,4,7,6,5,2,3,1]=>0000000=>0000000 [8,3,7,6,5,1,4,2]=>0000000=>0000000 [8,4,7,5,6,1,3,2]=>0000000=>0000000 [8,1,7,3,6,2,5,4]=>0000000=>0000000 [8,3,7,2,6,1,5,4]=>0000000=>0000000 [8,5,7,2,6,1,4,3]=>0000000=>0000000 [8,7,6,1,5,2,4,3]=>0000000=>0000000 [4,6,7,3,8,5,2,1]=>0000000=>0000000 [6,7,8,9,10,5,4,3,2,1]=>000000000=>000000000 [1,4,8,2,6,3,5,7]=>1000000=>0000001 [1,6,2,4,8,3,5,7]=>1000000=>0000001 [1,5,2,3,8,4,7,6]=>1000000=>0000001 [1,7,2,3,5,4,8,6]=>1000000=>0000001 [1,8,2,3,5,4,6,7]=>1000000=>0000001 [1,7,8,2,4,5,3,6]=>1000000=>0000001 [1,2,8,3,6,4,5,7]=>1100000=>0000011 [1,5,8,2,3,7,4,6]=>1000000=>0000001 [1,6,8,2,3,5,4,7]=>1000000=>0000001 [5,7,2,6,3,8,1,4]=>0000000=>0000000 [5,7,1,6,8,4,3,2]=>0000000=>0000000 [4,8,1,2,5,7,3,6]=>0000000=>0000000 [3,7,5,4,8,2,1,6]=>0000000=>0000000 [4,7,1,3,2,8,6,5]=>0000000=>0000000 [2,7,3,1,5,8,4,6]=>0000000=>0000000 [3,8,7,1,6,4,5,2]=>0000000=>0000000 [4,3,2,1,5,8,6,7]=>0001100=>0011000 [4,1,3,7,5,6,8,2]=>0000000=>0000000 [3,4,6,1,5,8,2,7]=>0000000=>0000000 [6,5,8,7,1,4,2,3]=>0000000=>0000000 [4,1,7,3,8,5,2,6]=>0000000=>0000000 [5,6,8,7,2,4,1,3]=>0000000=>0000000 [7,1,3,4,2,8,5,6]=>0000000=>0000000 [7,6,1,4,3,5,8,2]=>0000000=>0000000 [3,5,4,1,6,7,8,2]=>0000000=>0000000 [2,5,3,4,8,6,1,7]=>0000000=>0000000 [2,4,8,3,6,1,7,5]=>0000000=>0000000 [6,8,2,1,5,7,3,4]=>0000000=>0000000 [1,2,4,8,6,5,3,7]=>1100000=>0000011 [7,1,5,6,8,4,3,2]=>0000000=>0000000 [7,3,5,6,1,4,8,2]=>0000000=>0000000 [3,7,6,5,1,4,8,2]=>0000000=>0000000 [2,7,6,5,3,8,1,4]=>0000000=>0000000 [2,7,8,1,4,6,3,5]=>0000000=>0000000 [4,1,6,8,5,3,7,2]=>0000000=>0000000 [5,2,6,4,8,3,1,7]=>0000000=>0000000 [1,2,6,3,4,8,7,5]=>1100000=>0000011 [5,3,6,1,4,7,8,2]=>0000000=>0000000 [6,7,1,3,4,5,8,2]=>0000000=>0000000 [1,7,3,2,4,8,5,6]=>1000000=>0000001 [6,1,4,2,8,3,5,7]=>0000000=>0000000 [5,8,6,7,2,1,4,3]=>0000000=>0000000 [8,6,1,3,5,4,2,7]=>0000000=>0000000 [2,7,6,3,4,5,8,1]=>0000000=>0000000 [5,3,8,6,1,2,4,7]=>0000000=>0000000 [3,8,7,2,6,4,5,1]=>0000000=>0000000 [4,5,8,7,2,6,3,1]=>0000000=>0000000 [8,5,2,7,1,4,3,6]=>0000000=>0000000 [3,7,5,8,2,6,1,4]=>0000000=>0000000 [1,6,7,4,8,2,3,5]=>1000000=>0000001 [8,2,1,3,5,6,7,4]=>0000000=>0000000 [4,1,3,8,2,6,7,5]=>0000000=>0000000 [3,6,1,4,7,2,8,5]=>0000000=>0000000 [6,2,7,4,5,8,1,3]=>0000000=>0000000 [1,8,5,7,3,2,4,6]=>1000000=>0000001 [3,2,1,6,4,8,5,7]=>0010000=>0000100 [2,7,4,1,5,3,8,6]=>0000000=>0000000 [7,4,8,6,2,3,1,5]=>0000000=>0000000 [7,3,2,4,8,6,1,5]=>0000000=>0000000 [5,1,7,4,2,3,8,6]=>0000000=>0000000 [4,8,5,3,6,2,7,1]=>0000000=>0000000 [5,7,4,3,6,2,8,1]=>0000000=>0000000 [6,7,5,1,2,8,3,4]=>0000000=>0000000 [7,5,1,4,2,6,8,3]=>0000000=>0000000 [5,2,6,8,3,4,7,1]=>0000000=>0000000 [6,2,7,5,8,3,1,4]=>0000000=>0000000 [2,1,5,6,8,3,7,4]=>0100000=>0000010 [1,2,7,4,8,3,6,5]=>1100000=>0000011 [1,6,8,3,2,7,4,5]=>1000000=>0000001 [5,7,3,8,2,4,6,1]=>0000000=>0000000 [5,7,3,6,4,8,2,1]=>0000000=>0000000 [3,6,2,4,7,1,8,5]=>0000000=>0000000 [4,2,8,5,1,6,7,3]=>0000000=>0000000 [1,2,8,3,7,5,4,6]=>1100000=>0000011 [1,6,3,8,7,4,2,5]=>1000000=>0000001 [3,8,5,7,1,4,2,6]=>0000000=>0000000 [4,7,2,5,1,3,8,6]=>0000000=>0000000 [5,1,7,4,8,6,3,2]=>0000000=>0000000 [3,6,5,2,1,8,7,4]=>0000000=>0000000 [5,2,7,4,1,3,6,8]=>0000001=>1000000 [5,2,6,4,1,8,7,3]=>0000000=>0000000 [6,3,2,1,4,8,7,5]=>0000000=>0000000 [5,4,7,6,3,8,1,2]=>0000000=>0000000 [4,6,3,7,5,8,1,2]=>0000000=>0000000 [5,7,4,3,8,1,2,6]=>0000000=>0000000 [1,5,7,4,8,6,3,2]=>1000000=>0000001 [1,8,2,7,6,5,4,3]=>1000000=>0000001 [3,8,1,6,7,5,4,2]=>0000000=>0000000 [3,7,2,6,8,5,1,4]=>0000000=>0000000 [8,2,4,3,6,1,5,7]=>0000000=>0000000 [1,7,8,5,4,3,6,2]=>1000000=>0000001 [7,3,8,1,4,2,6,5]=>0000000=>0000000 [1,8,4,5,3,2,6,7]=>1000000=>0000001 [3,7,8,1,2,6,5,4]=>0000000=>0000000 [1,6,4,5,7,2,3,8]=>1000001=>1000001 [8,3,6,1,7,2,4,5]=>0000000=>0000000 [7,3,5,2,1,8,4,6]=>0000000=>0000000 [6,4,2,8,7,5,1,3]=>0000000=>0000000 [1,5,3,6,8,7,4,2]=>1000000=>0000001 [3,5,4,6,1,8,2,7]=>0000000=>0000000 [3,1,5,7,6,8,2,4]=>0000000=>0000000 [6,4,5,7,2,8,1,3]=>0000000=>0000000 [2,6,3,5,4,8,1,7]=>0000000=>0000000 [3,7,4,5,6,8,1,2]=>0000000=>0000000 [2,5,7,3,6,8,1,4]=>0000000=>0000000 [5,4,3,1,8,2,7,6]=>0000000=>0000000 [1,2,8,3,5,4,6,7]=>1100000=>0000011 [1,7,8,4,3,5,6,2]=>1000000=>0000001 [3,1,6,8,4,5,7,2]=>0000000=>0000000 [1,4,5,8,3,6,7,2]=>1000000=>0000001 [2,5,7,1,8,3,6,4]=>0000000=>0000000 [6,2,7,1,8,4,5,3]=>0000000=>0000000 [4,7,1,3,8,5,6,2]=>0000000=>0000000 [3,7,2,1,8,4,5,6]=>0000000=>0000000 [4,2,7,1,8,3,6,5]=>0000000=>0000000 [4,3,1,6,8,2,7,5]=>0000000=>0000000 [5,3,4,6,8,2,7,1]=>0000000=>0000000 [3,5,1,6,8,2,7,4]=>0000000=>0000000 [5,8,3,2,6,4,1,7]=>0000000=>0000000 [7,3,8,2,6,4,1,5]=>0000000=>0000000 [3,8,7,4,5,6,1,2]=>0000000=>0000000 [2,7,6,3,5,4,1,8]=>0000001=>1000000 [3,8,7,4,6,2,5,1]=>0000000=>0000000 [5,8,3,7,6,2,4,1]=>0000000=>0000000 [5,8,7,4,3,6,2,1]=>0000000=>0000000 [5,8,6,4,3,7,1,2]=>0000000=>0000000 [6,5,8,4,3,1,7,2]=>0000000=>0000000 [2,6,4,7,1,5,3,8]=>0000001=>1000000 [2,5,6,8,4,3,7,1]=>0000000=>0000000 [5,3,8,1,7,6,4,2]=>0000000=>0000000 [5,4,8,7,1,6,3,2]=>0000000=>0000000 [4,8,6,7,5,3,1,2]=>0000000=>0000000 [4,8,6,5,7,2,1,3]=>0000000=>0000000 [6,2,1,5,8,3,7,4]=>0000000=>0000000 [5,8,3,2,7,6,4,1]=>0000000=>0000000 [5,8,3,2,6,7,1,4]=>0000000=>0000000 [6,5,3,2,8,1,7,4]=>0000000=>0000000 [6,4,3,2,1,8,7,5]=>0000000=>0000000 [6,3,4,1,2,8,7,5]=>0000000=>0000000 [5,2,1,4,3,6,7,8]=>0000111=>1110000 [4,6,3,2,5,1,7,8]=>0000011=>1100000 [3,5,7,4,2,6,1,8]=>0000001=>1000000 [4,3,6,1,5,2,7,8]=>0000011=>1100000 [4,2,1,5,7,6,3,8]=>0000001=>1000000 [3,5,4,7,1,6,2,8]=>0000001=>1000000 [3,4,5,8,6,7,1,2]=>0000000=>0000000 [4,3,5,1,6,8,7,2]=>0000000=>0000000 [2,1,5,3,8,4,7,6]=>0100000=>0000010 [3,1,8,2,5,4,7,6]=>0000000=>0000000 [8,1,3,2,6,4,7,5]=>0000000=>0000000 [3,1,8,2,6,4,7,5]=>0000000=>0000000 [2,1,8,3,6,4,7,5]=>0100000=>0000010 [2,1,7,3,5,4,8,6]=>0100000=>0000010 [2,1,7,3,6,4,8,5]=>0100000=>0000010 [2,1,7,3,8,4,6,5]=>0100000=>0000010 [8,1,4,2,7,3,6,5]=>0000000=>0000000 [4,1,7,2,8,3,6,5]=>0000000=>0000000 [3,1,7,2,8,4,6,5]=>0000000=>0000000 [3,1,6,2,5,4,8,7]=>0000010=>0100000 [7,1,3,2,6,4,8,5]=>0000000=>0000000 [7,1,8,2,4,3,6,5]=>0000000=>0000000 [7,1,5,2,8,3,6,4]=>0000000=>0000000 [4,1,6,2,5,3,8,7]=>0000010=>0100000 [4,1,7,2,5,3,8,6]=>0000000=>0000000 [4,1,7,2,6,3,8,5]=>0000000=>0000000 [5,1,7,2,6,3,8,4]=>0000000=>0000000 [5,1,7,2,8,3,6,4]=>0000000=>0000000 [8,1,5,2,7,3,6,4]=>0000000=>0000000 [8,1,5,2,6,3,7,4]=>0000000=>0000000 [5,1,8,2,6,3,7,4]=>0000000=>0000000 [5,1,6,2,8,3,7,4]=>0000000=>0000000 [3,1,6,2,8,4,7,5]=>0000000=>0000000 [4,1,8,2,6,3,7,5]=>0000000=>0000000 [8,1,4,2,6,3,7,5]=>0000000=>0000000 [8,1,4,2,5,3,7,6]=>0000000=>0000000 [4,1,8,2,5,3,7,6]=>0000000=>0000000 [4,1,5,2,8,3,7,6]=>0000000=>0000000 [3,1,5,2,8,4,7,6]=>0000000=>0000000 [5,1,4,2,8,3,7,6]=>0000000=>0000000 [6,1,3,2,8,4,7,5]=>0000000=>0000000 [6,1,3,2,7,4,8,5]=>0000000=>0000000 [6,1,4,2,7,3,8,5]=>0000000=>0000000 [6,1,7,2,8,3,5,4]=>0000000=>0000000 [7,8,3,1,2,5,6,4]=>0000000=>0000000 [7,8,1,3,2,4,6,5]=>0000000=>0000000 [6,2,8,1,3,5,4,7]=>0000000=>0000000 [6,2,8,3,1,7,4,5]=>0000000=>0000000 [3,2,5,7,1,8,4,6]=>0000000=>0000000 [3,5,2,8,1,7,4,6]=>0000000=>0000000 [5,1,3,7,2,6,8,4]=>0000000=>0000000 [2,5,4,6,8,1,7,3]=>0000000=>0000000 [4,3,5,7,6,8,1,2]=>0000000=>0000000 [7,6,4,3,2,1,8,5]=>0000000=>0000000 [7,6,5,8,2,1,4,3]=>0000000=>0000000 [7,8,4,3,2,1,6,5]=>0000000=>0000000 [7,6,3,8,2,1,5,4]=>0000000=>0000000 [7,6,5,8,4,1,3,2]=>0000000=>0000000 [7,4,8,3,2,1,6,5]=>0000000=>0000000 [7,6,8,5,2,1,4,3]=>0000000=>0000000 [4,8,6,1,7,5,2,3]=>0000000=>0000000 [4,8,7,2,6,5,1,3]=>0000000=>0000000 [8,4,7,3,6,5,1,2]=>0000000=>0000000 [6,8,4,3,7,2,1,5]=>0000000=>0000000 [6,7,4,2,8,3,1,5]=>0000000=>0000000 [11,12,9,10,7,8,5,6,3,4,1,2]=>00000000000=>00000000000 [2,8,7,6,5,1,4,3]=>0000000=>0000000 [7,3,2,5,4,1,6,8]=>0000001=>1000000 [7,1,4,2,6,3,5,8]=>0000001=>1000000 [7,3,2,5,1,6,4,8]=>0000001=>1000000 [7,4,1,3,5,2,6,8]=>0000001=>1000000 [2,3,6,1,4,8,7,5]=>0000000=>0000000 [5,6,8,2,4,1,3,7]=>0000000=>0000000 [5,6,8,7,4,3,1,2]=>0000000=>0000000 [2,4,8,1,6,3,7,5]=>0000000=>0000000 [1,8,4,5,2,6,7,3]=>1000000=>0000001 [5,6,7,3,2,8,1,4]=>0000000=>0000000 [5,3,2,1,4,8,6,7]=>0000100=>0010000 [3,4,7,8,1,2,6,5]=>0000000=>0000000 [3,6,7,8,1,4,5,2]=>0000000=>0000000 [2,3,6,8,5,1,4,7]=>0000000=>0000000 [3,1,6,4,8,2,5,7]=>0000000=>0000000 [7,3,2,6,8,5,1,4]=>0000000=>0000000 [5,7,8,3,1,4,6,2]=>0000000=>0000000 [7,4,8,3,2,5,1,6]=>0000000=>0000000 [7,3,8,2,4,5,6,1]=>0000000=>0000000 [4,2,7,1,5,3,8,6]=>0000000=>0000000 [1,2,7,3,4,8,6,5]=>1100000=>0000011 [4,7,2,1,5,8,6,3]=>0000000=>0000000 [4,8,3,6,5,1,7,2]=>0000000=>0000000 [6,4,7,3,5,1,8,2]=>0000000=>0000000 [3,1,6,4,7,8,2,5]=>0000000=>0000000 [1,2,5,8,3,7,4,6]=>1100000=>0000011 [8,2,4,1,7,5,6,3]=>0000000=>0000000 [3,8,4,7,5,1,6,2]=>0000000=>0000000 [8,4,3,6,1,7,5,2]=>0000000=>0000000 [2,1,8,6,7,3,5,4]=>0100000=>0000010 [1,2,8,6,3,4,7,5]=>1100000=>0000011 [7,3,2,5,6,1,4,8]=>0000001=>1000000 [8,4,1,2,7,5,3,6]=>0000000=>0000000 [1,5,2,8,6,3,7,4]=>1000000=>0000001 [5,8,6,3,1,7,4,2]=>0000000=>0000000 [7,8,1,4,2,5,3,6]=>0000000=>0000000 [5,6,2,7,1,3,4,8]=>0000001=>1000000 [1,6,2,7,4,8,3,5]=>1000000=>0000001 [6,2,1,7,8,5,3,4]=>0000000=>0000000 [6,7,3,8,4,1,5,2]=>0000000=>0000000 [2,7,1,8,5,6,3,4]=>0000000=>0000000 [2,1,7,8,6,3,4,5]=>0100000=>0000010 [7,8,6,2,1,3,5,4]=>0000000=>0000000 [6,1,3,4,2,8,7,5]=>0000000=>0000000 [7,1,3,8,6,4,5,2]=>0000000=>0000000 [7,4,2,1,8,6,5,3]=>0000000=>0000000 [2,1,6,3,4,8,7,5]=>0100000=>0000010 [8,1,4,2,5,6,7,3]=>0000000=>0000000 [8,1,3,2,5,6,7,4]=>0000000=>0000000 [2,1,4,8,7,5,3,6]=>0100000=>0000010 [7,1,5,8,2,6,3,4]=>0000000=>0000000 [3,6,8,2,4,1,5,7]=>0000000=>0000000 [6,2,8,1,7,5,4,3]=>0000000=>0000000 [7,8,5,6,4,1,3,2]=>0000000=>0000000 [3,8,1,4,5,6,2,7]=>0000000=>0000000 [5,8,7,3,6,1,4,2]=>0000000=>0000000 [5,8,3,7,6,1,4,2]=>0000000=>0000000 [7,5,8,4,6,1,3,2]=>0000000=>0000000 [2,4,8,1,3,7,6,5]=>0000000=>0000000 [2,5,1,3,8,4,7,6]=>0000000=>0000000 [2,8,1,5,4,7,3,6]=>0000000=>0000000 [8,3,2,6,1,4,7,5]=>0000000=>0000000 [2,5,7,1,3,8,6,4]=>0000000=>0000000 [2,7,1,6,5,3,8,4]=>0000000=>0000000 [2,8,1,7,6,5,4,3]=>0000000=>0000000 [8,3,2,7,1,6,5,4]=>0000000=>0000000 [7,4,2,8,1,6,5,3]=>0000000=>0000000 [8,7,5,3,2,1,6,4]=>0000000=>0000000 [7,4,5,8,6,2,1,3]=>0000000=>0000000 [4,6,8,5,1,7,3,2]=>0000000=>0000000 [4,7,5,1,3,8,6,2]=>0000000=>0000000 [5,1,7,6,4,2,8,3]=>0000000=>0000000 [5,1,8,7,6,4,3,2]=>0000000=>0000000 [5,1,6,2,8,7,4,3]=>0000000=>0000000 [4,5,6,1,8,7,2,3]=>0000000=>0000000 [3,5,6,8,7,1,4,2]=>0000000=>0000000 [3,6,1,7,4,8,2,5]=>0000000=>0000000 [8,4,2,6,3,1,5,7]=>0000000=>0000000 [3,4,8,7,1,2,6,5]=>0000000=>0000000 [3,4,6,8,5,7,1,2]=>0000000=>0000000 [4,6,8,3,5,7,2,1]=>0000000=>0000000 [4,7,3,5,8,2,6,1]=>0000000=>0000000 [5,6,8,3,7,2,1,4]=>0000000=>0000000 [5,6,8,4,2,7,3,1]=>0000000=>0000000 [6,5,2,7,1,3,8,4]=>0000000=>0000000 [6,5,4,1,7,2,8,3]=>0000000=>0000000 [6,4,7,3,1,8,2,5]=>0000000=>0000000 [5,6,3,7,4,2,1,8]=>0000001=>1000000 [6,1,3,8,5,2,4,7]=>0000000=>0000000 [7,4,2,6,3,5,1,8]=>0000001=>1000000 [3,4,7,5,6,2,1,8]=>0000001=>1000000 [8,1,3,4,5,2,6,7]=>0000000=>0000000 [1,6,8,4,2,5,3,7]=>1000000=>0000001 [8,7,2,3,6,1,4,5]=>0000000=>0000000 [1,4,8,5,2,6,7,3]=>1000000=>0000001 [6,1,8,4,3,7,2,5]=>0000000=>0000000 [1,5,2,4,8,7,3,6]=>1000000=>0000001 [3,2,6,4,1,8,7,5]=>0000000=>0000000 [7,6,4,3,1,8,2,5]=>0000000=>0000000 [8,4,6,5,1,7,2,3]=>0000000=>0000000 [7,5,4,6,1,2,8,3]=>0000000=>0000000 [3,2,5,6,1,7,8,4]=>0000000=>0000000 [3,2,8,7,6,1,4,5]=>0000000=>0000000 [6,8,4,7,2,1,3,5]=>0000000=>0000000 [3,8,7,5,6,1,2,4]=>0000000=>0000000 [8,2,7,6,5,1,3,4]=>0000000=>0000000 [4,8,6,7,1,5,3,2]=>0000000=>0000000 [1,8,6,7,2,3,4,5]=>1000000=>0000001 [3,5,4,2,7,1,8,6]=>0000000=>0000000 [3,2,6,1,5,7,4,8]=>0000001=>1000000 [5,2,1,4,7,6,3,8]=>0000001=>1000000 [4,2,1,3,5,8,7,6]=>0001100=>0011000 [7,4,1,5,3,6,8,2]=>0000000=>0000000 [6,8,3,4,1,5,2,7]=>0000000=>0000000 [5,8,4,1,7,2,6,3]=>0000000=>0000000 [4,1,8,3,5,7,2,6]=>0000000=>0000000 [2,4,6,3,5,8,1,7]=>0000000=>0000000 [4,5,7,2,3,6,8,1]=>0000000=>0000000 [2,6,3,4,7,5,8,1]=>0000000=>0000000 [4,5,2,7,1,6,8,3]=>0000000=>0000000 [2,3,1,7,6,4,8,5]=>0010000=>0000100 [3,4,1,6,5,8,2,7]=>0000000=>0000000 [6,4,2,8,7,1,5,3]=>0000000=>0000000 [3,1,8,2,7,6,4,5]=>0000000=>0000000 [6,2,8,4,1,7,5,3]=>0000000=>0000000 [3,6,4,7,2,5,1,8]=>0000001=>1000000 [7,3,2,8,6,1,4,5]=>0000000=>0000000 [4,3,8,7,1,2,5,6]=>0000000=>0000000 [1,2,5,8,4,7,3,6]=>1100000=>0000011 [1,3,6,8,5,2,7,4]=>1000000=>0000001 [2,5,7,4,1,8,6,3]=>0000000=>0000000 [1,4,2,5,8,7,3,6]=>1000000=>0000001 [3,5,1,7,2,8,6,4]=>0000000=>0000000 [4,6,3,1,7,8,5,2]=>0000000=>0000000 [5,3,1,6,7,8,4,2]=>0000000=>0000000 [2,1,3,4,8,7,5,6]=>0111000=>0001110 [4,8,7,3,6,5,1,2]=>0000000=>0000000 [4,3,8,7,6,5,1,2]=>0000000=>0000000 [2,8,7,6,1,5,4,3]=>0000000=>0000000 [5,2,8,7,6,1,4,3]=>0000000=>0000000 [6,2,8,7,5,1,4,3]=>0000000=>0000000 [7,8,2,6,5,1,4,3]=>0000000=>0000000 [6,1,8,7,5,4,3,2]=>0000000=>0000000 [4,1,8,7,6,5,3,2]=>0000000=>0000000 [3,1,8,7,6,5,4,2]=>0000000=>0000000 [7,8,2,6,1,5,4,3]=>0000000=>0000000 [4,2,8,1,7,6,5,3]=>0000000=>0000000 [3,2,8,1,7,6,5,4]=>0000000=>0000000 [2,8,7,1,6,5,4,3]=>0000000=>0000000 [3,8,2,1,7,6,5,4]=>0000000=>0000000 [4,8,2,7,6,1,5,3]=>0000000=>0000000 [3,8,2,7,1,6,5,4]=>0000000=>0000000 [3,8,7,2,1,6,5,4]=>0000000=>0000000 [4,8,7,2,6,1,5,3]=>0000000=>0000000 [5,8,7,6,2,1,4,3]=>0000000=>0000000 [6,5,8,7,1,4,3,2]=>0000000=>0000000 [3,8,7,1,6,5,4,2]=>0000000=>0000000 [4,8,1,7,6,5,3,2]=>0000000=>0000000 [5,4,1,8,7,6,3,2]=>0000000=>0000000 [6,4,8,1,7,5,3,2]=>0000000=>0000000 [7,8,4,1,6,5,3,2]=>0000000=>0000000 [7,8,3,1,6,5,4,2]=>0000000=>0000000 [5,3,1,8,7,6,4,2]=>0000000=>0000000 [4,3,1,8,7,6,5,2]=>0000000=>0000000 [4,2,1,8,7,6,5,3]=>0000000=>0000000 [6,5,3,1,8,7,4,2]=>0000000=>0000000 [5,4,2,1,8,7,6,3]=>0000000=>0000000 [8,6,1,4,2,3,5,7]=>0000000=>0000000 [6,8,1,4,2,3,5,7]=>0000000=>0000000 [4,6,2,3,8,1,5,7]=>0000000=>0000000 [6,4,2,3,8,1,5,7]=>0000000=>0000000 [2,8,4,3,6,1,5,7]=>0000000=>0000000 [2,4,8,3,6,1,5,7]=>0000000=>0000000 [8,3,6,2,4,1,5,7]=>0000000=>0000000 [8,3,6,2,1,4,5,7]=>0000000=>0000000 [2,1,8,3,6,4,5,7]=>0100000=>0000010 [6,3,8,2,1,4,5,7]=>0000000=>0000000 [3,6,4,7,8,5,1,2]=>0000000=>0000000 [1,6,4,2,7,5,8,3]=>1000000=>0000001 [3,4,6,8,7,5,1,2]=>0000000=>0000000 [5,4,6,3,8,7,1,2]=>0000000=>0000000 [6,4,8,5,3,7,1,2]=>0000000=>0000000 [1,8,5,2,6,3,7,4]=>1000000=>0000001 [1,4,6,2,8,5,7,3]=>1000000=>0000001 [7,8,1,4,2,5,6,3]=>0000000=>0000000 [4,8,5,3,1,6,2,7]=>0000000=>0000000 [5,2,8,6,4,1,3,7]=>0000000=>0000000 [5,1,6,2,8,7,3,4]=>0000000=>0000000 [6,1,8,7,4,2,3,5]=>0000000=>0000000 [1,2,8,5,7,3,6,4]=>1100000=>0000011 [1,3,6,8,7,5,2,4]=>1000000=>0000001 [7,8,1,2,4,6,5,3]=>0000000=>0000000 [1,2,6,4,8,7,5,3]=>1100000=>0000011 [1,8,2,5,4,7,6,3]=>1000000=>0000001 [1,2,7,3,5,8,6,4]=>1100000=>0000011 [4,6,2,1,7,5,3,8]=>0000001=>1000000 [4,6,2,3,7,8,1,5]=>0000000=>0000000 [4,2,1,3,5,7,8,6]=>0001100=>0011000 [7,8,3,2,4,1,6,5]=>0000000=>0000000 [7,8,4,2,6,3,1,5]=>0000000=>0000000 [5,8,2,7,4,3,1,6]=>0000000=>0000000 [7,5,2,8,3,4,1,6]=>0000000=>0000000 [6,4,3,5,2,8,1,7]=>0000000=>0000000 [4,1,3,6,5,8,7,2]=>0000000=>0000000 [2,4,1,3,8,5,7,6]=>0001000=>0001000 [2,4,1,3,5,8,7,6]=>0001100=>0011000 [4,6,1,3,5,8,7,2]=>0000000=>0000000 [1,4,6,3,5,8,7,2]=>1000000=>0000001 [4,2,1,3,6,5,7,8]=>0001011=>1101000 [4,2,1,8,3,5,7,6]=>0000000=>0000000 [6,2,1,8,3,5,7,4]=>0000000=>0000000 [6,4,1,3,8,5,7,2]=>0000000=>0000000 [8,2,1,3,6,5,7,4]=>0000000=>0000000 [8,2,1,4,3,5,7,6]=>0000000=>0000000 [8,1,4,6,3,5,7,2]=>0000000=>0000000 [2,4,8,1,3,5,7,6]=>0000000=>0000000 [4,6,8,1,3,5,7,2]=>0000000=>0000000 [4,6,1,8,3,5,7,2]=>0000000=>0000000 [4,1,6,8,3,5,7,2]=>0000000=>0000000 [1,4,6,8,3,5,7,2]=>1000000=>0000001 [1,4,6,3,8,5,7,2]=>1000000=>0000001 [4,6,1,3,8,5,7,2]=>0000000=>0000000 [2,6,1,3,8,5,7,4]=>0000000=>0000000 [2,6,1,8,3,5,7,4]=>0000000=>0000000 [2,1,3,6,8,5,7,4]=>0110000=>0000110 [4,1,3,6,8,5,7,2]=>0000000=>0000000 [1,4,3,6,8,5,7,2]=>1000000=>0000001 [2,1,8,3,6,5,7,4]=>0100000=>0000010 [2,1,8,6,3,5,7,4]=>0100000=>0000010 [2,1,8,4,3,5,7,6]=>0100000=>0000010 [2,8,4,1,3,5,7,6]=>0000000=>0000000 [6,8,1,4,3,5,7,2]=>0000000=>0000000 [1,8,6,4,3,5,7,2]=>1000000=>0000001 [8,6,1,4,3,5,7,2]=>0000000=>0000000 [8,6,4,1,3,5,7,2]=>0000000=>0000000 [8,4,2,1,3,5,7,6]=>0000000=>0000000 [8,5,7,4,3,2,1,6]=>0000000=>0000000 [8,7,6,5,1,4,3,2]=>0000000=>0000000 [8,7,3,6,5,2,1,4]=>0000000=>0000000 [6,5,8,4,3,2,1,7]=>0000000=>0000000 [8,4,7,6,3,2,1,5]=>0000000=>0000000 [5,8,7,4,3,2,1,6]=>0000000=>0000000 [4,5,2,7,3,1,8,6]=>0000000=>0000000 [4,8,2,6,3,5,7,1]=>0000000=>0000000 [8,6,1,2,7,4,3,5]=>0000000=>0000000 [4,6,2,1,7,8,5,3]=>0000000=>0000000 [2,3,8,7,4,1,6,5]=>0000000=>0000000 [7,8,2,1,5,6,4,3]=>0000000=>0000000 [1,6,2,5,8,4,3,7]=>1000000=>0000001 [5,2,7,1,8,6,3,4]=>0000000=>0000000 [1,2,8,3,7,6,5,4]=>1100000=>0000011 [6,5,2,8,1,7,3,4]=>0000000=>0000000 [2,8,3,5,1,7,4,6]=>0000000=>0000000 [2,8,5,6,1,7,3,4]=>0000000=>0000000 [5,4,2,8,6,1,7,3]=>0000000=>0000000 [8,3,7,4,2,6,5,1]=>0000000=>0000000 [6,3,2,8,4,1,7,5]=>0000000=>0000000 [2,8,3,4,1,7,5,6]=>0000000=>0000000 [5,4,2,8,3,1,7,6]=>0000000=>0000000 [2,8,6,4,1,7,5,3]=>0000000=>0000000 [8,4,7,6,2,5,3,1]=>0000000=>0000000 [4,8,7,6,1,5,3,2]=>0000000=>0000000 [7,3,8,5,2,1,6,4]=>0000000=>0000000 [7,3,8,4,2,1,6,5]=>0000000=>0000000 [7,5,4,3,8,2,1,6]=>0000000=>0000000 [5,4,2,3,8,1,6,7]=>0000000=>0000000 [3,7,8,4,1,2,6,5]=>0000000=>0000000 [7,3,4,8,2,1,5,6]=>0000000=>0000000 [7,5,8,6,2,1,4,3]=>0000000=>0000000 [6,5,8,7,3,1,4,2]=>0000000=>0000000 [2,4,8,3,1,5,7,6]=>0000000=>0000000 [6,3,2,4,8,1,5,7]=>0000000=>0000000 [2,4,3,8,1,6,5,7]=>0000000=>0000000 [2,3,8,4,1,6,7,5]=>0000000=>0000000 [3,4,8,7,1,5,6,2]=>0000000=>0000000 [2,5,3,8,1,6,4,7]=>0000000=>0000000 [3,7,4,8,1,5,2,6]=>0000000=>0000000 [2,6,8,5,1,3,7,4]=>0000000=>0000000 [2,6,8,4,1,3,7,5]=>0000000=>0000000 [3,7,5,8,1,4,2,6]=>0000000=>0000000 [2,6,5,8,1,4,3,7]=>0000000=>0000000 [2,5,8,3,1,4,7,6]=>0000000=>0000000 [4,7,6,8,1,3,2,5]=>0000000=>0000000 [5,6,8,7,1,3,4,2]=>0000000=>0000000 [8,7,4,1,6,2,5,3]=>0000000=>0000000 [6,4,7,2,8,5,1,3]=>0000000=>0000000 [1,7,6,2,4,3,5,8]=>1000001=>1000001 [8,7,3,2,4,6,5,1]=>0000000=>0000000 [6,4,7,3,8,5,2,1]=>0000000=>0000000 [2,7,1,5,6,3,4,8]=>0000001=>1000000 [3,6,4,1,2,8,7,5]=>0000000=>0000000 [3,6,5,1,8,2,7,4]=>0000000=>0000000 [4,6,5,1,8,7,2,3]=>0000000=>0000000 [5,7,1,4,8,6,2,3]=>0000000=>0000000 [5,7,1,3,8,2,6,4]=>0000000=>0000000 [6,3,7,2,8,4,5,1]=>0000000=>0000000 [6,7,1,8,3,2,5,4]=>0000000=>0000000 [8,7,6,1,4,5,2,3]=>0000000=>0000000 [8,7,6,1,3,2,5,4]=>0000000=>0000000 [8,7,3,5,1,2,6,4]=>0000000=>0000000 [8,7,4,5,1,6,2,3]=>0000000=>0000000 [8,5,6,4,1,7,2,3]=>0000000=>0000000 [8,4,6,2,3,1,7,5]=>0000000=>0000000 [4,7,3,5,2,1,6,8]=>0000001=>1000000 [6,7,8,4,1,5,3,2]=>0000000=>0000000 [7,1,6,8,4,5,3,2]=>0000000=>0000000 [7,5,1,6,4,2,3,8]=>0000001=>1000000 [8,1,5,7,4,6,3,2]=>0000000=>0000000 [1,8,4,6,7,5,3,2]=>1000000=>0000001 [6,1,8,4,7,5,3,2]=>0000000=>0000000 [4,8,5,1,6,7,3,2]=>0000000=>0000000 [8,4,1,5,6,7,3,2]=>0000000=>0000000 [8,1,4,5,6,7,3,2]=>0000000=>0000000 [1,8,4,6,2,5,3,7]=>1000000=>0000001 [8,5,6,1,2,4,3,7]=>0000000=>0000000 [2,8,3,1,5,6,7,4]=>0000000=>0000000 [8,3,2,7,1,5,6,4]=>0000000=>0000000 [3,2,8,5,7,1,6,4]=>0000000=>0000000 [3,6,2,8,5,1,7,4]=>0000000=>0000000 [6,2,1,8,4,7,5,3]=>0000000=>0000000 [2,8,7,1,4,6,5,3]=>0000000=>0000000 [8,2,7,1,5,4,6,3]=>0000000=>0000000 [7,3,1,5,6,2,4,8]=>0000001=>1000000 [7,2,8,1,6,4,5,3]=>0000000=>0000000 [7,8,2,6,4,1,5,3]=>0000000=>0000000 [8,7,2,4,1,6,5,3]=>0000000=>0000000 [1,2,8,6,3,7,5,4]=>1100000=>0000011 [1,8,7,2,3,6,5,4]=>1000000=>0000001 [1,7,8,2,6,4,3,5]=>1000000=>0000001 [2,1,7,3,6,8,4,5]=>0100000=>0000010 [7,1,5,8,3,2,4,6]=>0000000=>0000000 [7,8,1,5,2,4,3,6]=>0000000=>0000000 [8,7,1,2,5,4,3,6]=>0000000=>0000000 [1,6,2,8,4,3,7,5]=>1000000=>0000001 [1,8,3,7,2,5,4,6]=>1000000=>0000001 [8,1,4,7,3,2,5,6]=>0000000=>0000000 [4,7,8,1,3,2,5,6]=>0000000=>0000000 [2,1,8,3,5,7,4,6]=>0100000=>0000010 [1,2,3,4,8,5,7,6]=>1111000=>0001111 [3,7,2,5,6,4,1,8]=>0000001=>1000000 [7,6,2,5,4,3,1,8]=>0000001=>1000000 [4,7,5,2,6,3,1,8]=>0000001=>1000000 [5,6,7,2,4,3,1,8]=>0000001=>1000000 [2,8,3,4,1,6,7,5]=>0000000=>0000000 [6,1,3,5,7,2,4,8]=>0000001=>1000000 [8,1,3,6,2,4,7,5]=>0000000=>0000000 [2,1,8,3,7,5,4,6]=>0100000=>0000010 [7,1,8,2,5,6,3,4]=>0000000=>0000000 [6,1,5,8,2,7,3,4]=>0000000=>0000000 [6,2,5,8,1,4,7,3]=>0000000=>0000000 [3,2,8,5,1,6,7,4]=>0000000=>0000000 [1,3,8,2,5,7,4,6]=>1000000=>0000001 [2,8,7,1,6,4,5,3]=>0000000=>0000000 [3,8,7,1,5,6,4,2]=>0000000=>0000000 [4,8,7,5,1,6,3,2]=>0000000=>0000000 [5,8,6,7,1,4,3,2]=>0000000=>0000000 [6,7,8,5,1,4,3,2]=>0000000=>0000000 [5,6,3,8,4,1,7,2]=>0000000=>0000000 [7,3,8,5,4,1,6,2]=>0000000=>0000000 [8,3,7,4,1,6,5,2]=>0000000=>0000000 [3,5,6,8,4,1,7,2]=>0000000=>0000000 [5,6,4,7,8,1,3,2]=>0000000=>0000000 [6,2,3,1,5,4,7,8]=>0000011=>1100000 [8,5,1,3,2,4,7,6]=>0000000=>0000000 [7,5,1,3,2,6,4,8]=>0000001=>1000000 [3,6,4,1,5,2,7,8]=>0000011=>1100000 [4,5,6,1,3,2,7,8]=>0000011=>1100000 [6,7,1,4,2,5,3,8]=>0000001=>1000000 [2,7,1,3,5,6,4,8]=>0000001=>1000000 [8,6,1,2,4,3,7,5]=>0000000=>0000000 [7,8,1,2,5,3,6,4]=>0000000=>0000000 [1,8,2,7,5,4,6,3]=>1000000=>0000001 [1,8,6,3,7,2,4,5]=>1000000=>0000001 [1,8,2,5,4,6,7,3]=>1000000=>0000001 [7,2,8,4,3,5,6,1]=>0000000=>0000000 [1,4,7,5,2,6,8,3]=>1000000=>0000001 [4,6,5,3,7,1,8,2]=>0000000=>0000000 [5,6,2,7,3,1,8,4]=>0000000=>0000000 [1,6,3,7,5,8,2,4]=>1000000=>0000001 [5,2,4,8,1,3,7,6]=>0000000=>0000000 [3,5,2,4,7,1,6,8]=>0000001=>1000000 [6,4,5,3,8,2,1,7]=>0000000=>0000000 [6,5,3,4,8,7,1,2]=>0000000=>0000000 [7,6,3,8,5,4,1,2]=>0000000=>0000000 [5,4,8,1,2,7,3,6]=>0000000=>0000000 [6,3,8,1,7,2,4,5]=>0000000=>0000000 [7,2,8,6,1,3,4,5]=>0000000=>0000000 [7,2,8,6,1,5,3,4]=>0000000=>0000000 [3,2,4,7,8,1,5,6]=>0000000=>0000000 [1,5,7,4,2,8,6,3]=>1000000=>0000001 [1,3,7,2,8,6,4,5]=>1000000=>0000001 [1,5,3,6,8,2,7,4]=>1000000=>0000001 [4,3,6,5,7,8,1,2]=>0000000=>0000000 [4,2,3,5,6,8,1,7]=>0000000=>0000000 [5,2,6,4,7,8,3,1]=>0000000=>0000000 [3,2,5,6,8,1,7,4]=>0000000=>0000000 [4,2,3,6,8,1,5,7]=>0000000=>0000000 [2,6,1,5,4,8,3,7]=>0000000=>0000000 [3,2,1,8,7,5,6,4]=>0010000=>0000100 [3,1,6,2,5,8,4,7]=>0000000=>0000000 [6,5,1,3,4,8,2,7]=>0000000=>0000000 [6,2,4,5,8,1,3,7]=>0000000=>0000000 [2,3,4,8,1,7,6,5]=>0000000=>0000000 [6,2,7,8,4,5,1,3]=>0000000=>0000000 [3,1,4,8,7,6,2,5]=>0000000=>0000000 [2,3,6,5,8,7,1,4]=>0000000=>0000000 [8,4,1,2,7,6,3,5]=>0000000=>0000000 [6,3,2,8,5,7,4,1]=>0000000=>0000000 [3,2,6,8,5,1,7,4]=>0000000=>0000000 [5,2,4,1,7,8,6,3]=>0000000=>0000000 [1,8,7,2,4,5,6,3]=>1000000=>0000001 [5,3,4,7,1,8,6,2]=>0000000=>0000000 [5,3,7,1,6,2,8,4]=>0000000=>0000000 [4,7,6,5,8,2,1,3]=>0000000=>0000000 [1,2,5,3,8,7,6,4]=>1100000=>0000011 [4,8,2,3,6,7,1,5]=>0000000=>0000000 [8,2,4,6,7,1,3,5]=>0000000=>0000000 [3,7,5,1,8,4,6,2]=>0000000=>0000000 [6,5,3,1,8,4,2,7]=>0000000=>0000000 [4,2,3,8,5,6,1,7]=>0000000=>0000000 [2,4,8,7,1,3,5,6]=>0000000=>0000000 [8,2,6,3,4,5,1,7]=>0000000=>0000000 [8,1,5,4,3,6,2,7]=>0000000=>0000000 [8,6,4,2,1,5,3,7]=>0000000=>0000000 [8,3,2,4,6,1,5,7]=>0000000=>0000000 [8,2,3,4,7,6,1,5]=>0000000=>0000000 [8,1,3,7,6,4,2,5]=>0000000=>0000000 [4,8,1,2,7,3,6,5]=>0000000=>0000000 [2,5,7,8,4,1,3,6]=>0000000=>0000000 [6,3,5,8,7,2,4,1]=>0000000=>0000000 [5,2,8,7,1,3,4,6]=>0000000=>0000000 [5,2,7,4,8,1,6,3]=>0000000=>0000000 [8,1,7,4,5,2,6,3]=>0000000=>0000000 [1,7,8,3,5,4,6,2]=>1000000=>0000001 [4,6,3,5,8,1,7,2]=>0000000=>0000000 [8,2,4,1,5,6,7,3]=>0000000=>0000000 [3,5,1,7,6,8,2,4]=>0000000=>0000000 [2,1,7,6,4,5,8,3]=>0100000=>0000010 [1,7,6,5,2,4,8,3]=>1000000=>0000001 [4,6,2,5,3,8,7,1]=>0000000=>0000000 [8,6,4,2,3,1,7,5]=>0000000=>0000000 [8,6,4,2,1,3,7,5]=>0000000=>0000000 [2,5,7,3,8,4,6,1]=>0000000=>0000000 [4,2,7,1,8,5,3,6]=>0000000=>0000000 [1,3,7,5,8,6,4,2]=>1000000=>0000001 [3,5,7,1,4,8,6,2]=>0000000=>0000000 [3,4,1,2,8,5,7,6]=>0001000=>0001000 [8,7,3,1,2,6,4,5]=>0000000=>0000000 [6,2,3,1,4,8,7,5]=>0000000=>0000000 [8,4,3,2,5,7,1,6]=>0000000=>0000000 [5,3,6,8,2,1,4,7]=>0000000=>0000000 [3,2,6,8,5,4,1,7]=>0000000=>0000000 [7,3,8,2,5,4,1,6]=>0000000=>0000000 [7,4,2,5,8,3,1,6]=>0000000=>0000000 [3,1,2,8,5,6,4,7]=>0010000=>0000100 [5,2,1,6,8,3,4,7]=>0000000=>0000000 [3,1,8,6,5,4,2,7]=>0000000=>0000000 [5,6,8,1,4,3,2,7]=>0000000=>0000000 [7,8,4,1,5,3,2,6]=>0000000=>0000000 [7,3,8,5,1,4,2,6]=>0000000=>0000000 [1,5,4,8,3,7,6,2]=>1000000=>0000001 [4,7,8,3,1,6,5,2]=>0000000=>0000000 [8,7,5,3,6,4,2,1]=>0000000=>0000000 [4,6,1,3,8,7,5,2]=>0000000=>0000000 [3,6,1,2,7,5,8,4]=>0000000=>0000000 [3,6,2,5,8,7,4,1]=>0000000=>0000000 [2,7,3,1,5,6,8,4]=>0000000=>0000000 [6,7,1,3,2,8,4,5]=>0000000=>0000000 [6,2,7,1,3,4,8,5]=>0000000=>0000000 [5,2,1,7,3,8,4,6]=>0000000=>0000000 [3,7,2,4,6,1,8,5]=>0000000=>0000000 [5,3,7,2,8,1,4,6]=>0000000=>0000000 [7,1,8,3,4,2,5,6]=>0000000=>0000000 [7,2,4,1,8,3,5,6]=>0000000=>0000000 [4,8,7,6,3,2,1,5]=>0000000=>0000000 [7,8,2,4,6,1,5,3]=>0000000=>0000000 [3,5,1,8,7,2,6,4]=>0000000=>0000000 [5,2,8,1,7,6,3,4]=>0000000=>0000000 [6,2,1,3,8,7,5,4]=>0000000=>0000000 [6,7,8,1,2,5,4,3]=>0000000=>0000000 [5,8,7,1,6,4,3,2]=>0000000=>0000000 [6,8,7,5,1,4,3,2]=>0000000=>0000000 [8,6,4,3,2,1,7,5]=>0000000=>0000000 [6,5,4,3,8,2,7,1]=>0000000=>0000000 [8,4,3,2,1,7,6,5]=>0000000=>0000000 [3,7,5,8,1,4,6,2]=>0000000=>0000000 [4,7,5,8,3,2,1,6]=>0000000=>0000000 [5,7,2,3,6,1,8,4]=>0000000=>0000000 [7,3,1,4,8,2,5,6]=>0000000=>0000000 [7,4,1,2,5,8,3,6]=>0000000=>0000000 [4,7,1,6,5,8,3,2]=>0000000=>0000000 [8,6,4,2,3,7,5,1]=>0000000=>0000000 [7,6,4,2,3,8,1,5]=>0000000=>0000000 [3,1,2,4,8,7,6,5]=>0011000=>0001100 [6,5,8,7,3,1,2,4]=>0000000=>0000000 [5,6,7,8,1,4,2,3]=>0000000=>0000000 [2,6,7,4,5,3,1,8]=>0000001=>1000000 [1,3,7,4,2,8,5,6]=>1000000=>0000001 [4,6,1,3,7,2,5,8]=>0000001=>1000000 [6,5,7,8,3,1,4,2]=>0000000=>0000000 [7,5,8,6,2,1,3,4]=>0000000=>0000000 [2,8,1,3,6,5,4,7]=>0000000=>0000000 [2,8,7,3,5,4,1,6]=>0000000=>0000000 [3,4,2,6,8,7,1,5]=>0000000=>0000000 [6,1,4,2,7,8,5,3]=>0000000=>0000000 [7,3,8,4,1,2,6,5]=>0000000=>0000000 [6,8,3,2,7,1,5,4]=>0000000=>0000000 [5,1,4,3,6,2,7,8]=>0000011=>1100000 [4,8,5,6,3,2,1,7]=>0000000=>0000000 [2,8,5,6,3,7,1,4]=>0000000=>0000000 [3,2,6,7,4,8,1,5]=>0000000=>0000000 [4,1,8,2,6,3,5,7]=>0000000=>0000000 [7,5,6,8,2,1,4,3]=>0000000=>0000000 [5,8,6,7,1,2,3,4]=>0000000=>0000000 [4,8,1,5,7,2,3,6]=>0000000=>0000000 [3,5,1,4,7,6,8,2]=>0000000=>0000000 [5,3,2,7,1,6,8,4]=>0000000=>0000000 [5,4,1,7,3,6,8,2]=>0000000=>0000000 [3,4,7,6,2,5,8,1]=>0000000=>0000000 [4,8,3,6,5,2,1,7]=>0000000=>0000000 [8,1,7,4,2,5,6,3]=>0000000=>0000000 [1,8,7,2,5,3,4,6]=>1000000=>0000001 [4,8,1,5,2,6,3,7]=>0000000=>0000000 [3,6,8,5,1,2,4,7]=>0000000=>0000000 [1,5,2,7,8,4,6,3]=>1000000=>0000001 [6,7,2,8,5,3,1,4]=>0000000=>0000000 [6,7,2,8,3,1,5,4]=>0000000=>0000000 [3,1,4,6,7,8,5,2]=>0000000=>0000000 [7,4,6,1,8,2,3,5]=>0000000=>0000000 [3,4,5,1,6,8,7,2]=>0000000=>0000000 [5,7,8,3,1,6,4,2]=>0000000=>0000000 [7,5,8,3,2,4,1,6]=>0000000=>0000000 [5,8,2,6,3,1,4,7]=>0000000=>0000000 [8,2,7,5,4,1,3,6]=>0000000=>0000000 [6,2,7,3,8,4,1,5]=>0000000=>0000000 [3,7,2,4,8,5,1,6]=>0000000=>0000000 [1,5,2,6,3,8,7,4]=>1000000=>0000001 [1,3,6,2,4,8,7,5]=>1000000=>0000001 [8,3,6,2,5,4,1,7]=>0000000=>0000000 [3,5,8,2,4,6,1,7]=>0000000=>0000000 [6,4,7,8,2,3,1,5]=>0000000=>0000000 [1,5,3,2,8,4,7,6]=>1000000=>0000001 [3,8,4,7,5,1,2,6]=>0000000=>0000000 [6,1,2,7,3,8,5,4]=>0000000=>0000000 [2,1,7,3,4,8,6,5]=>0100000=>0000010 [8,3,1,6,7,2,5,4]=>0000000=>0000000 [4,8,3,7,1,5,2,6]=>0000000=>0000000 [5,7,4,8,2,1,3,6]=>0000000=>0000000 [4,6,8,2,5,1,3,7]=>0000000=>0000000 [5,3,7,2,1,4,6,8]=>0000001=>1000000 [6,4,2,8,3,1,5,7]=>0000000=>0000000 [5,7,2,3,8,1,4,6]=>0000000=>0000000 [6,4,7,5,8,1,2,3]=>0000000=>0000000 [8,6,4,2,1,7,5,3]=>0000000=>0000000 [7,6,4,1,8,5,2,3]=>0000000=>0000000 [1,6,4,8,7,5,3,2]=>1000000=>0000001 [6,3,1,2,8,4,7,5]=>0000000=>0000000 [7,4,8,1,6,3,5,2]=>0000000=>0000000 [1,4,8,7,2,6,5,3]=>1000000=>0000001 [5,4,1,8,7,3,2,6]=>0000000=>0000000 [8,6,1,7,5,4,3,2]=>0000000=>0000000 [3,1,8,7,6,5,2,4]=>0000000=>0000000 [2,6,8,1,3,7,5,4]=>0000000=>0000000 [2,4,8,1,5,7,6,3]=>0000000=>0000000 [3,2,8,6,1,7,5,4]=>0000000=>0000000 [6,2,8,3,1,7,5,4]=>0000000=>0000000 [7,4,3,8,5,2,1,6]=>0000000=>0000000 [4,3,8,7,5,1,6,2]=>0000000=>0000000 [4,2,3,8,5,1,6,7]=>0000000=>0000000 [4,2,8,5,1,7,6,3]=>0000000=>0000000 [3,4,2,8,5,6,1,7]=>0000000=>0000000 [3,2,4,8,6,1,5,7]=>0000000=>0000000 [3,2,5,8,6,1,4,7]=>0000000=>0000000 [4,3,7,8,5,1,2,6]=>0000000=>0000000 [4,2,6,8,5,1,3,7]=>0000000=>0000000 [3,5,2,8,4,6,1,7]=>0000000=>0000000 [5,2,6,8,4,1,3,7]=>0000000=>0000000 [5,3,7,8,4,1,2,6]=>0000000=>0000000 [5,6,2,8,3,4,1,7]=>0000000=>0000000 [5,3,8,7,4,1,6,2]=>0000000=>0000000 [6,4,2,8,5,3,1,7]=>0000000=>0000000 [7,6,4,3,8,2,5,1]=>0000000=>0000000 [6,4,5,3,8,2,7,1]=>0000000=>0000000 [7,4,5,3,8,2,6,1]=>0000000=>0000000 [8,4,6,3,7,2,5,1]=>0000000=>0000000 [7,6,8,3,5,2,4,1]=>0000000=>0000000 [7,5,8,4,6,2,3,1]=>0000000=>0000000 [7,5,8,3,6,2,4,1]=>0000000=>0000000 [7,4,8,3,6,2,5,1]=>0000000=>0000000 [7,4,8,3,5,2,6,1]=>0000000=>0000000 [6,4,8,3,5,2,7,1]=>0000000=>0000000 [5,4,7,3,6,2,8,1]=>0000000=>0000000 [6,5,7,3,8,2,4,1]=>0000000=>0000000 [5,4,6,3,8,2,7,1]=>0000000=>0000000 [6,5,3,7,8,2,1,4]=>0000000=>0000000 [6,5,4,2,8,7,1,3]=>0000000=>0000000 [6,4,3,7,5,2,1,8]=>0000001=>1000000 [6,3,7,8,5,2,1,4]=>0000000=>0000000 [6,3,7,2,5,4,1,8]=>0000001=>1000000 [6,3,2,7,5,4,1,8]=>0000001=>1000000 [4,8,2,6,3,7,1,5]=>0000000=>0000000 [5,4,8,1,2,3,7,6]=>0000000=>0000000 [1,4,7,6,3,2,5,8]=>1000001=>1000001 [4,8,3,2,7,6,1,5]=>0000000=>0000000 [4,8,6,7,2,3,1,5]=>0000000=>0000000 [4,8,7,3,6,2,1,5]=>0000000=>0000000 [4,3,8,2,7,1,6,5]=>0000000=>0000000 [4,1,8,7,3,2,5,6]=>0000000=>0000000 [4,7,8,1,2,5,3,6]=>0000000=>0000000 [2,3,6,7,4,1,8,5]=>0000000=>0000000 [2,6,3,4,7,8,1,5]=>0000000=>0000000 [3,1,7,8,4,2,5,6]=>0000000=>0000000 [4,3,1,2,8,5,7,6]=>0001000=>0001000 [3,7,6,8,4,2,1,5]=>0000000=>0000000 [3,7,8,2,6,4,1,5]=>0000000=>0000000 [3,7,2,8,4,6,1,5]=>0000000=>0000000 [4,2,8,3,6,1,7,5]=>0000000=>0000000 [3,7,2,4,8,6,1,5]=>0000000=>0000000 [1,3,6,4,7,2,5,8]=>1000001=>1000001 [2,4,3,6,1,8,7,5]=>0000000=>0000000 [2,6,7,3,8,4,1,5]=>0000000=>0000000 [2,6,3,7,4,8,1,5]=>0000000=>0000000 [1,3,5,7,4,6,8,2]=>1000000=>0000001 [1,3,5,4,7,2,6,8]=>1000001=>1000001 [1,3,5,4,7,2,8,6]=>1000000=>0000001 [2,3,7,1,4,8,6,5]=>0000000=>0000000 [2,5,7,3,4,8,6,1]=>0000000=>0000000 [2,5,4,6,7,1,3,8]=>0000001=>1000000 [2,4,6,3,7,5,1,8]=>0000001=>1000000 [5,3,2,7,4,6,1,8]=>0000001=>1000000 [4,1,2,5,8,3,7,6]=>0000000=>0000000 [4,6,1,2,5,8,3,7]=>0000000=>0000000 [5,7,6,8,1,4,2,3]=>0000000=>0000000 [4,1,6,2,8,5,7,3]=>0000000=>0000000 [7,1,4,2,3,6,8,5]=>0000000=>0000000 [6,4,2,1,3,8,7,5]=>0000000=>0000000 [3,8,6,4,2,1,5,7]=>0000000=>0000000 [6,1,2,7,5,3,8,4]=>0000000=>0000000 [2,6,1,4,7,3,8,5]=>0000000=>0000000 [7,3,2,8,6,4,1,5]=>0000000=>0000000 [2,7,8,4,6,3,1,5]=>0000000=>0000000 [7,8,2,5,3,6,1,4]=>0000000=>0000000 [8,1,6,3,5,7,2,4]=>0000000=>0000000 [8,3,2,6,4,7,1,5]=>0000000=>0000000 [8,4,2,5,6,7,1,3]=>0000000=>0000000 [2,3,8,7,6,5,1,4]=>0000000=>0000000 [4,1,8,7,2,6,5,3]=>0000000=>0000000 [1,2,8,7,3,6,5,4]=>1100000=>0000011 [1,5,8,7,3,2,6,4]=>1000000=>0000001 [4,5,8,7,3,2,1,6]=>0000000=>0000000 [2,6,8,3,7,5,1,4]=>0000000=>0000000 [1,6,8,4,7,2,5,3]=>1000000=>0000001 [1,6,8,3,7,2,5,4]=>1000000=>0000001 [2,5,8,1,7,6,4,3]=>0000000=>0000000 [3,2,8,4,7,6,1,5]=>0000000=>0000000 [1,5,8,4,7,2,6,3]=>1000000=>0000001 [1,5,8,3,7,2,6,4]=>1000000=>0000001 [3,1,8,4,7,2,6,5]=>0000000=>0000000 [5,6,8,1,2,7,4,3]=>0000000=>0000000 [1,6,8,2,3,7,5,4]=>1000000=>0000001 [1,5,8,4,2,7,6,3]=>1000000=>0000001 [5,6,8,4,3,2,1,7]=>0000000=>0000000 [7,1,4,8,6,2,5,3]=>0000000=>0000000 [7,3,4,8,6,2,1,5]=>0000000=>0000000 [7,1,4,8,2,6,5,3]=>0000000=>0000000 [7,4,5,8,1,2,6,3]=>0000000=>0000000 [3,6,2,8,7,5,1,4]=>0000000=>0000000 [1,6,4,8,7,2,5,3]=>1000000=>0000001 [3,2,4,8,7,6,1,5]=>0000000=>0000000 [1,4,5,8,7,2,6,3]=>1000000=>0000001 [3,1,4,8,7,2,6,5]=>0000000=>0000000 [1,6,5,8,2,7,4,3]=>1000000=>0000001 [2,6,5,8,3,7,1,4]=>0000000=>0000000 [2,4,5,8,3,7,1,6]=>0000000=>0000000 [4,6,5,8,3,2,1,7]=>0000000=>0000000 [7,6,2,3,8,5,1,4]=>0000000=>0000000 [7,6,1,4,8,2,5,3]=>0000000=>0000000 [7,2,5,3,8,6,1,4]=>0000000=>0000000 [7,2,1,3,8,6,5,4]=>0000000=>0000000 [2,6,5,3,8,7,1,4]=>0000000=>0000000 [2,6,1,4,8,7,5,3]=>0000000=>0000000 [7,6,5,1,2,8,4,3]=>0000000=>0000000 [7,1,5,2,3,8,6,4]=>0000000=>0000000 [7,1,2,4,3,8,6,5]=>0000000=>0000000 [1,6,2,4,3,8,7,5]=>1000000=>0000001 [2,6,5,4,3,8,1,7]=>0000000=>0000000 [7,6,5,1,3,2,8,4]=>0000000=>0000000 [8,2,7,6,5,4,1,3]=>0000000=>0000000 [7,2,8,6,5,4,3,1]=>0000000=>0000000 [3,2,8,7,6,5,1,4]=>0000000=>0000000 [7,8,6,1,5,4,3,2]=>0000000=>0000000 [4,8,5,7,6,3,2,1]=>0000000=>0000000 [3,2,4,6,8,1,5,7]=>0000000=>0000000 [3,5,7,2,4,8,1,6]=>0000000=>0000000 [4,5,1,3,6,8,2,7]=>0000000=>0000000 [4,3,5,7,2,6,8,1]=>0000000=>0000000 [4,3,5,1,7,8,2,6]=>0000000=>0000000 [4,6,3,5,7,2,8,1]=>0000000=>0000000 [5,1,6,7,3,4,8,2]=>0000000=>0000000 [1,6,7,3,4,5,8,2]=>1000000=>0000001 [2,6,7,4,8,1,3,5]=>0000000=>0000000 [6,3,1,7,8,2,4,5]=>0000000=>0000000 [5,7,2,8,1,3,4,6]=>0000000=>0000000 [6,3,7,2,8,1,4,5]=>0000000=>0000000 [2,4,6,7,1,5,8,3]=>0000000=>0000000 [2,4,7,1,5,6,8,3]=>0000000=>0000000 [3,7,1,5,6,8,2,4]=>0000000=>0000000 [1,5,6,7,2,4,8,3]=>1000000=>0000001 [5,6,2,4,1,7,8,3]=>0000000=>0000000 [5,6,4,7,1,3,8,2]=>0000000=>0000000 [6,4,3,7,2,5,8,1]=>0000000=>0000000 [6,4,3,7,2,8,1,5]=>0000000=>0000000 [7,4,5,3,1,6,8,2]=>0000000=>0000000 [6,4,3,7,5,1,8,2]=>0000000=>0000000 [5,6,3,7,4,1,8,2]=>0000000=>0000000 [6,7,4,2,1,5,8,3]=>0000000=>0000000 [6,7,4,2,1,8,3,5]=>0000000=>0000000 [5,6,7,3,1,8,2,4]=>0000000=>0000000 [5,6,3,7,8,1,2,4]=>0000000=>0000000 [5,6,3,7,2,4,8,1]=>0000000=>0000000 [5,6,7,2,3,8,1,4]=>0000000=>0000000 [5,6,7,2,8,1,3,4]=>0000000=>0000000 [6,7,3,8,1,2,4,5]=>0000000=>0000000 [6,7,3,2,8,1,4,5]=>0000000=>0000000 [7,6,4,2,1,3,8,5]=>0000000=>0000000 [7,5,3,2,6,1,8,4]=>0000000=>0000000 [6,5,3,2,7,8,1,4]=>0000000=>0000000 [6,4,7,2,5,1,8,3]=>0000000=>0000000 [5,4,6,7,3,1,8,2]=>0000000=>0000000 [3,7,8,5,6,1,4,2]=>0000000=>0000000 [1,7,8,5,6,3,4,2]=>1000000=>0000001 [1,7,5,8,6,3,4,2]=>1000000=>0000001 [5,7,3,8,6,4,1,2]=>0000000=>0000000 [1,5,7,8,6,3,4,2]=>1000000=>0000001 [1,5,7,8,3,6,4,2]=>1000000=>0000001 [5,3,7,8,1,6,4,2]=>0000000=>0000000 [5,3,7,8,6,1,4,2]=>0000000=>0000000 [7,8,3,5,6,1,4,2]=>0000000=>0000000 [7,1,8,5,6,3,4,2]=>0000000=>0000000 [7,1,5,8,6,3,4,2]=>0000000=>0000000 [5,1,7,8,6,3,4,2]=>0000000=>0000000 [5,1,7,8,3,6,4,2]=>0000000=>0000000 [3,1,7,8,5,6,4,2]=>0000000=>0000000 [1,3,7,8,5,6,4,2]=>1000000=>0000001 [3,1,7,5,8,6,4,2]=>0000000=>0000000 [5,1,7,3,8,6,4,2]=>0000000=>0000000 [7,1,5,3,8,6,4,2]=>0000000=>0000000 [7,1,5,8,3,6,4,2]=>0000000=>0000000 [7,3,8,5,1,6,4,2]=>0000000=>0000000 [7,3,5,8,1,6,4,2]=>0000000=>0000000 [7,3,5,1,8,6,4,2]=>0000000=>0000000 [5,3,7,1,8,6,4,2]=>0000000=>0000000 [3,5,7,1,8,6,4,2]=>0000000=>0000000 [1,5,7,3,8,6,4,2]=>1000000=>0000001 [1,7,5,3,8,6,4,2]=>1000000=>0000001 [3,7,5,1,8,6,4,2]=>0000000=>0000000 [5,7,3,1,8,6,4,2]=>0000000=>0000000 [5,7,3,8,6,1,4,2]=>0000000=>0000000 [3,7,5,8,1,6,4,2]=>0000000=>0000000 [1,7,5,8,3,6,4,2]=>1000000=>0000001 [1,7,8,5,3,6,4,2]=>1000000=>0000001 [5,7,8,6,3,1,4,2]=>0000000=>0000000 [7,5,8,6,1,3,4,2]=>0000000=>0000000 [5,7,8,1,6,3,4,2]=>0000000=>0000000 [1,7,8,3,5,6,4,2]=>1000000=>0000001 [1,7,3,8,5,6,4,2]=>1000000=>0000001 [3,7,1,8,5,6,4,2]=>0000000=>0000000 [5,7,1,8,3,6,4,2]=>0000000=>0000000 [5,7,1,8,6,3,4,2]=>0000000=>0000000 [7,5,1,8,6,3,4,2]=>0000000=>0000000 [7,5,8,1,6,3,4,2]=>0000000=>0000000 [7,5,1,8,3,6,4,2]=>0000000=>0000000 [7,5,1,3,8,6,4,2]=>0000000=>0000000 [5,7,1,3,8,6,4,2]=>0000000=>0000000 [3,7,1,5,8,6,4,2]=>0000000=>0000000 [1,7,3,5,8,6,4,2]=>1000000=>0000001 [1,5,3,7,8,6,4,2]=>1000000=>0000001 [3,5,1,7,8,6,4,2]=>0000000=>0000000 [5,3,1,7,8,6,4,2]=>0000000=>0000000 [7,3,1,5,8,6,4,2]=>0000000=>0000000 [7,3,1,8,5,6,4,2]=>0000000=>0000000 [7,1,8,3,5,6,4,2]=>0000000=>0000000 [7,1,3,8,5,6,4,2]=>0000000=>0000000 [7,1,3,5,8,6,4,2]=>0000000=>0000000 [5,1,3,7,8,6,4,2]=>0000000=>0000000 [3,1,5,7,8,6,4,2]=>0000000=>0000000 [2,3,6,1,5,4,8,7]=>0000010=>0100000 [3,5,6,2,4,1,8,7]=>0000010=>0100000 [8,7,6,1,3,2,4,5]=>0000000=>0000000 [2,5,3,4,8,1,7,6]=>0000000=>0000000 [5,1,8,2,3,4,7,6]=>0000000=>0000000 [5,4,7,6,2,8,1,3]=>0000000=>0000000 [3,1,8,6,2,7,5,4]=>0000000=>0000000 [3,8,1,5,6,7,2,4]=>0000000=>0000000 [8,2,3,5,7,1,6,4]=>0000000=>0000000 [2,8,3,6,7,5,1,4]=>0000000=>0000000 [4,3,8,2,7,6,1,5]=>0000000=>0000000 [2,1,4,5,8,3,7,6]=>0100000=>0000010 [6,4,7,5,2,3,8,1]=>0000000=>0000000 [4,2,3,1,8,7,5,6]=>0001000=>0001000 [4,3,1,2,8,6,7,5]=>0001000=>0001000 [5,1,6,7,8,4,3,2]=>0000000=>0000000 [8,7,2,6,4,1,5,3]=>0000000=>0000000 [6,1,7,4,3,2,8,5]=>0000000=>0000000 [4,2,6,1,5,7,8,3]=>0000000=>0000000 [7,1,4,8,3,5,6,2]=>0000000=>0000000 [3,4,8,2,5,7,6,1]=>0000000=>0000000 [3,7,1,4,5,6,8,2]=>0000000=>0000000 [4,7,5,6,8,3,1,2]=>0000000=>0000000 [6,5,3,8,4,7,1,2]=>0000000=>0000000 [8,6,4,7,5,3,1,2]=>0000000=>0000000 [1,6,3,7,5,8,4,2]=>1000000=>0000001 [1,3,7,4,5,8,6,2]=>1000000=>0000001 [7,3,8,5,4,6,1,2]=>0000000=>0000000 [3,4,8,5,6,7,1,2]=>0000000=>0000000 [4,7,3,8,5,6,1,2]=>0000000=>0000000 [6,8,4,7,5,3,1,2]=>0000000=>0000000 [1,7,6,5,3,8,4,2]=>1000000=>0000001 [2,7,6,4,5,1,3,8]=>0000001=>1000000 [1,8,2,7,3,6,5,4]=>1000000=>0000001 [2,1,3,8,4,7,5,6]=>0110000=>0000110 [3,1,2,8,4,6,7,5]=>0010000=>0000100 [4,1,7,2,8,5,6,3]=>0000000=>0000000 [5,1,2,4,8,3,7,6]=>0000000=>0000000 [1,7,2,8,5,3,6,4]=>1000000=>0000001 [1,2,3,8,4,5,7,6]=>1110000=>0000111 [2,4,8,3,1,5,6,7]=>0000000=>0000000 [3,4,2,7,1,5,6,8]=>0000001=>1000000 [3,2,5,6,1,4,7,8]=>0000011=>1100000 [4,7,3,8,2,1,5,6]=>0000000=>0000000 [7,4,8,3,2,1,5,6]=>0000000=>0000000 [2,6,4,5,7,1,3,8]=>0000001=>1000000 [5,4,6,2,7,1,3,8]=>0000001=>1000000 [7,6,8,5,1,4,3,2]=>0000000=>0000000 [6,5,1,2,8,3,7,4]=>0000000=>0000000 [6,8,4,1,3,7,5,2]=>0000000=>0000000 [6,3,7,1,8,4,5,2]=>0000000=>0000000 [4,7,1,2,8,3,6,5]=>0000000=>0000000 [1,2,8,7,6,3,5,4]=>1100000=>0000011 [2,3,1,8,7,4,5,6]=>0010000=>0000100 [8,7,1,6,5,4,3,2]=>0000000=>0000000 [3,1,8,7,6,4,5,2]=>0000000=>0000000 [1,2,3,4,8,7,5,6]=>1111000=>0001111 [1,2,3,8,6,4,5,7]=>1110000=>0000111 [1,2,8,5,3,4,6,7]=>1100000=>0000011 [1,8,4,2,3,5,6,7]=>1000000=>0000001 [2,4,7,5,6,8,3,1]=>0000000=>0000000 [2,5,3,8,7,4,6,1]=>0000000=>0000000 [3,1,8,5,7,4,2,6]=>0000000=>0000000 [8,3,6,2,4,5,7,1]=>0000000=>0000000 [4,8,1,7,6,3,2,5]=>0000000=>0000000 [4,7,8,1,3,6,2,5]=>0000000=>0000000 [5,8,7,1,4,3,2,6]=>0000000=>0000000 [5,6,1,2,4,3,8,7]=>0000010=>0100000 [3,6,8,1,2,7,5,4]=>0000000=>0000000 [8,4,6,2,1,3,7,5]=>0000000=>0000000 [4,8,1,5,3,7,2,6]=>0000000=>0000000 [5,4,8,7,3,1,2,6]=>0000000=>0000000 [6,4,3,8,1,5,2,7]=>0000000=>0000000 [6,8,3,7,2,5,4,1]=>0000000=>0000000 [5,3,6,8,7,2,4,1]=>0000000=>0000000 [5,7,4,2,8,3,6,1]=>0000000=>0000000 [6,4,7,2,1,8,3,5]=>0000000=>0000000 [6,5,3,1,4,7,2,8]=>0000001=>1000000 [5,7,8,2,6,4,1,3]=>0000000=>0000000 [3,6,8,5,7,1,4,2]=>0000000=>0000000 [1,7,4,8,6,2,3,5]=>1000000=>0000001 [2,7,4,8,5,6,1,3]=>0000000=>0000000 [6,3,7,2,8,5,1,4]=>0000000=>0000000 [8,1,3,6,7,2,4,5]=>0000000=>0000000 [6,1,3,8,2,7,4,5]=>0000000=>0000000 [4,1,5,3,2,8,6,7]=>0000100=>0010000 [2,7,1,4,3,8,5,6]=>0000000=>0000000 [1,7,5,2,8,6,3,4]=>1000000=>0000001 [7,4,2,5,1,8,6,3]=>0000000=>0000000 [5,6,3,2,1,8,7,4]=>0000000=>0000000 [4,5,3,2,7,1,8,6]=>0000000=>0000000 [6,4,2,8,5,1,7,3]=>0000000=>0000000 [1,8,4,7,2,5,3,6]=>1000000=>0000001 [1,5,8,4,2,6,3,7]=>1000000=>0000001 [3,5,7,4,1,6,8,2]=>0000000=>0000000 [4,5,8,3,1,7,6,2]=>0000000=>0000000 [3,4,7,8,2,1,6,5]=>0000000=>0000000 [3,5,7,1,2,6,4,8]=>0000001=>1000000 [3,6,2,1,4,7,5,8]=>0000001=>1000000 [7,4,1,2,8,6,3,5]=>0000000=>0000000 [5,2,6,1,3,4,8,7]=>0000010=>0100000 [7,5,1,6,8,4,3,2]=>0000000=>0000000 [6,2,7,8,5,4,1,3]=>0000000=>0000000 [3,8,7,6,2,4,1,5]=>0000000=>0000000 [3,5,8,7,2,4,6,1]=>0000000=>0000000 [2,7,1,3,6,5,4,8]=>0000001=>1000000 [6,3,7,1,5,4,2,8]=>0000001=>1000000 [5,7,8,3,2,1,4,6]=>0000000=>0000000 [5,4,2,1,7,8,3,6]=>0000000=>0000000 [4,7,8,3,5,2,1,6]=>0000000=>0000000 [8,3,2,1,4,7,6,5]=>0000000=>0000000 [6,4,1,7,3,8,5,2]=>0000000=>0000000 [1,7,5,3,8,2,6,4]=>1000000=>0000001 [5,1,7,4,2,8,6,3]=>0000000=>0000000 [5,1,4,3,2,7,8,6]=>0000100=>0010000 [3,7,6,2,4,1,8,5]=>0000000=>0000000 [6,3,1,7,5,2,8,4]=>0000000=>0000000 [4,1,6,8,5,7,3,2]=>0000000=>0000000 [1,8,6,7,3,4,2,5]=>1000000=>0000001 [6,7,1,8,3,4,2,5]=>0000000=>0000000 [7,8,2,5,1,6,3,4]=>0000000=>0000000 [1,8,5,6,2,7,3,4]=>1000000=>0000001 [5,6,2,7,1,8,3,4]=>0000000=>0000000 [6,7,2,5,1,8,3,4]=>0000000=>0000000 [2,5,1,8,6,7,3,4]=>0000000=>0000000 [2,6,5,8,1,7,3,4]=>0000000=>0000000 [2,4,3,8,5,6,1,7]=>0000000=>0000000 [2,3,1,8,5,6,4,7]=>0010000=>0000100 [4,7,1,6,2,5,3,8]=>0000001=>1000000 [4,6,3,5,1,7,2,8]=>0000001=>1000000 [5,6,3,7,1,4,2,8]=>0000001=>1000000 [1,8,5,6,3,4,2,7]=>1000000=>0000001 [4,7,1,8,5,6,2,3]=>0000000=>0000000 [3,4,2,6,5,8,1,7]=>0000000=>0000000 [3,5,4,6,2,8,1,7]=>0000000=>0000000 [3,7,1,6,2,8,4,5]=>0000000=>0000000 [3,5,2,7,4,8,1,6]=>0000000=>0000000 [4,7,2,3,1,8,5,6]=>0000000=>0000000 [2,5,8,3,4,1,6,7]=>0000000=>0000000 [5,1,7,3,4,2,8,6]=>0000000=>0000000 [4,6,7,3,2,5,8,1]=>0000000=>0000000 [3,7,2,1,4,5,8,6]=>0000000=>0000000 [2,7,1,3,4,8,6,5]=>0000000=>0000000 [2,6,7,3,8,5,4,1]=>0000000=>0000000 [2,6,1,8,4,5,3,7]=>0000000=>0000000 [4,2,1,6,5,3,8,7]=>0000010=>0100000 [6,2,4,3,1,5,8,7]=>0000010=>0100000 [4,6,2,1,5,3,8,7]=>0000010=>0100000 [8,4,2,1,6,5,3,7]=>0000000=>0000000 [2,6,4,5,1,8,7,3]=>0000000=>0000000 [6,8,7,2,1,4,3,5]=>0000000=>0000000 [6,8,2,1,7,4,3,5]=>0000000=>0000000 [8,6,2,4,3,1,5,7]=>0000000=>0000000 [4,6,5,2,8,3,7,1]=>0000000=>0000000 [2,6,4,5,8,3,7,1]=>0000000=>0000000 [8,2,4,3,6,5,1,7]=>0000000=>0000000 [4,2,1,6,8,7,5,3]=>0000000=>0000000 [4,2,1,6,5,8,7,3]=>0000000=>0000000 [6,2,1,8,4,3,7,5]=>0000000=>0000000 [4,6,5,8,7,2,1,3]=>0000000=>0000000 [6,4,8,2,1,5,7,3]=>0000000=>0000000 [2,6,8,4,7,1,5,3]=>0000000=>0000000 [4,8,6,7,2,1,3,5]=>0000000=>0000000 [7,4,5,2,3,8,6,1]=>0000000=>0000000 [3,5,1,6,4,2,8,7]=>0000010=>0100000 [7,2,3,4,5,8,6,1]=>0000000=>0000000 [8,2,3,4,5,7,1,6]=>0000000=>0000000 [5,7,1,3,8,6,2,4]=>0000000=>0000000 [4,7,3,2,8,6,1,5]=>0000000=>0000000 [4,8,1,5,6,7,3,2]=>0000000=>0000000 [6,8,2,5,1,7,3,4]=>0000000=>0000000 [7,8,3,4,6,2,1,5]=>0000000=>0000000 [3,8,2,5,4,7,6,1]=>0000000=>0000000 [3,7,6,1,8,5,2,4]=>0000000=>0000000 [4,6,7,1,8,5,3,2]=>0000000=>0000000 [3,6,1,7,8,5,4,2]=>0000000=>0000000 [2,1,5,7,3,8,6,4]=>0100000=>0000010 [7,6,1,4,8,5,2,3]=>0000000=>0000000 [4,1,2,3,7,8,6,5]=>0001000=>0001000 [3,4,2,1,8,5,6,7]=>0001000=>0001000 [5,4,8,3,6,7,1,2]=>0000000=>0000000 [4,5,8,3,6,7,2,1]=>0000000=>0000000 [2,1,5,8,4,6,7,3]=>0100000=>0000010 [4,6,8,3,5,2,7,1]=>0000000=>0000000 [5,7,8,3,2,4,1,6]=>0000000=>0000000 [3,8,2,4,5,6,7,1]=>0000000=>0000000 [4,3,1,6,5,8,7,2]=>0000000=>0000000 [8,2,7,4,1,3,6,5]=>0000000=>0000000 [3,1,5,2,4,8,7,6]=>0000100=>0010000 [3,6,4,5,1,8,7,2]=>0000000=>0000000 [4,3,6,1,2,8,7,5]=>0000000=>0000000 [6,1,3,5,4,8,7,2]=>0000000=>0000000 [1,7,3,8,4,6,2,5]=>1000000=>0000001 [1,6,7,4,8,5,3,2]=>1000000=>0000001 [8,1,2,5,4,6,3,7]=>0000000=>0000000 [8,4,2,5,7,1,6,3]=>0000000=>0000000 [1,8,5,3,7,4,6,2]=>1000000=>0000001 [4,2,1,7,5,3,6,8]=>0000001=>1000000 [1,4,8,6,5,7,2,3]=>1000000=>0000001 [3,5,4,8,6,1,2,7]=>0000000=>0000000 [4,3,5,8,1,7,2,6]=>0000000=>0000000 [1,4,5,8,6,7,3,2]=>1000000=>0000001 [1,7,6,5,8,3,4,2]=>1000000=>0000001 [7,3,6,1,8,2,4,5]=>0000000=>0000000 [7,6,4,5,8,1,3,2]=>0000000=>0000000 [4,3,1,6,8,7,5,2]=>0000000=>0000000 [4,3,1,8,5,6,7,2]=>0000000=>0000000 [6,2,8,4,3,1,7,5]=>0000000=>0000000 [7,1,6,2,3,4,5,8]=>0000001=>1000000 [1,8,5,4,3,6,2,7]=>1000000=>0000001 [1,8,3,6,5,2,7,4]=>1000000=>0000001 [4,7,1,8,2,6,5,3]=>0000000=>0000000 [1,4,8,3,5,7,6,2]=>1000000=>0000001 [6,1,5,2,4,7,8,3]=>0000000=>0000000 [4,1,8,5,2,7,6,3]=>0000000=>0000000 [4,3,8,5,1,2,6,7]=>0000000=>0000000 [4,1,8,2,3,7,5,6]=>0000000=>0000000 [1,8,7,6,2,5,4,3]=>1000000=>0000001 [1,2,3,4,5,10,9,8,7,6]=>111110000=>000011111 [4,6,3,1,5,2,7,8]=>0000011=>1100000 [6,2,7,4,5,1,3,8]=>0000001=>1000000 [5,7,3,4,1,6,2,8]=>0000001=>1000000 [4,2,8,1,5,6,7,3]=>0000000=>0000000 [1,7,8,4,5,6,2,3]=>1000000=>0000001 [1,6,8,4,5,2,7,3]=>1000000=>0000001 [1,5,8,4,2,6,7,3]=>1000000=>0000001 [1,5,3,8,2,6,7,4]=>1000000=>0000001 [1,6,3,8,5,2,7,4]=>1000000=>0000001 [1,7,3,8,5,6,2,4]=>1000000=>0000001 [6,2,3,7,5,1,4,8]=>0000001=>1000000 [4,2,6,1,5,3,7,8]=>0000011=>1100000 [5,2,6,4,1,3,7,8]=>0000011=>1100000 [1,2,7,8,5,6,3,4]=>1100000=>0000011 [1,2,6,8,5,3,7,4]=>1100000=>0000011 [1,2,6,4,8,3,7,5]=>1100000=>0000011 [8,7,3,2,1,6,5,4]=>0000000=>0000000 [8,7,4,1,6,2,3,5]=>0000000=>0000000 [1,8,3,2,6,4,5,7]=>1000000=>0000001 [7,3,8,1,5,2,4,6]=>0000000=>0000000 [3,1,7,2,6,4,5,8]=>0000001=>1000000 [1,8,4,2,3,6,7,5]=>1000000=>0000001 [4,1,7,2,3,6,8,5]=>0000000=>0000000 [3,1,7,5,4,2,8,6]=>0000000=>0000000 [3,2,6,7,4,1,8,5]=>0000000=>0000000 [5,6,2,7,1,4,8,3]=>0000000=>0000000 [6,4,2,8,1,5,7,3]=>0000000=>0000000 [7,3,6,8,5,2,4,1]=>0000000=>0000000 [2,7,8,3,6,5,1,4]=>0000000=>0000000 [2,7,8,5,4,6,3,1]=>0000000=>0000000 [2,6,8,3,4,7,1,5]=>0000000=>0000000 [2,5,6,8,3,4,1,7]=>0000000=>0000000 [2,7,8,3,6,1,4,5]=>0000000=>0000000 [2,1,3,7,8,5,6,4]=>0110000=>0000110 [5,1,2,4,8,7,3,6]=>0000000=>0000000 [2,3,6,1,8,5,7,4]=>0000000=>0000000 [5,2,6,1,7,8,4,3]=>0000000=>0000000 [3,6,5,4,1,8,7,2]=>0000000=>0000000 [4,1,8,2,5,7,3,6]=>0000000=>0000000 [1,5,8,2,4,7,3,6]=>1000000=>0000001 [6,2,1,4,7,8,3,5]=>0000000=>0000000 [3,8,1,4,2,6,5,7]=>0000000=>0000000 [8,3,4,2,1,6,5,7]=>0000000=>0000000 [5,3,2,8,1,6,4,7]=>0000000=>0000000 [2,4,5,8,3,6,1,7]=>0000000=>0000000 [2,6,4,3,7,8,5,1]=>0000000=>0000000 [7,4,1,8,3,2,5,6]=>0000000=>0000000 [5,6,1,7,4,2,8,3]=>0000000=>0000000 [1,3,8,6,2,7,4,5]=>1000000=>0000001 [4,3,7,5,6,1,8,2]=>0000000=>0000000 [6,7,3,8,4,1,2,5]=>0000000=>0000000 [4,7,5,8,3,1,2,6]=>0000000=>0000000 [5,7,3,1,6,8,4,2]=>0000000=>0000000 [4,6,7,2,8,3,1,5]=>0000000=>0000000 [4,5,6,7,3,1,8,2]=>0000000=>0000000 [8,5,3,2,7,6,1,4]=>0000000=>0000000 [7,5,4,6,2,8,1,3]=>0000000=>0000000 [2,5,1,3,6,8,7,4]=>0000000=>0000000 [7,3,8,5,2,1,4,6]=>0000000=>0000000 [5,8,3,6,4,7,1,2]=>0000000=>0000000 [4,1,6,3,2,5,8,7]=>0000010=>0100000 [8,6,1,7,2,5,4,3]=>0000000=>0000000 [8,7,6,1,2,3,5,4]=>0000000=>0000000 [5,4,1,6,2,3,8,7]=>0000010=>0100000 [5,8,7,6,1,2,3,4]=>0000000=>0000000 [8,2,7,1,5,4,3,6]=>0000000=>0000000 [2,1,6,3,8,5,4,7]=>0100000=>0000010 [2,6,3,1,8,5,4,7]=>0000000=>0000000 [4,6,2,8,5,1,3,7]=>0000000=>0000000 [4,6,5,2,7,3,8,1]=>0000000=>0000000 [3,1,6,2,4,8,7,5]=>0000000=>0000000 [2,8,5,7,4,1,3,6]=>0000000=>0000000 [6,4,8,3,5,7,1,2]=>0000000=>0000000 [8,5,7,4,6,2,1,3]=>0000000=>0000000 [4,1,8,5,6,3,2,7]=>0000000=>0000000 [5,8,3,2,4,6,1,7]=>0000000=>0000000 [2,8,4,1,5,3,7,6]=>0000000=>0000000 [2,1,8,6,4,3,7,5]=>0100000=>0000010 [3,6,7,1,8,5,2,4]=>0000000=>0000000 [6,5,7,3,1,8,4,2]=>0000000=>0000000 [6,1,5,7,2,4,8,3]=>0000000=>0000000 [7,4,5,1,2,3,8,6]=>0000000=>0000000 [8,4,7,6,2,1,5,3]=>0000000=>0000000 [3,5,7,6,4,1,8,2]=>0000000=>0000000 [5,4,1,7,6,2,8,3]=>0000000=>0000000 [5,7,2,3,6,4,8,1]=>0000000=>0000000 [6,1,8,2,7,3,4,5]=>0000000=>0000000 [1,8,5,7,2,3,4,6]=>1000000=>0000001 [8,1,5,7,2,3,6,4]=>0000000=>0000000 [2,3,1,7,8,6,4,5]=>0010000=>0000100 [5,4,1,6,3,8,7,2]=>0000000=>0000000 [5,4,1,2,8,7,6,3]=>0000000=>0000000 [5,6,3,7,8,4,2,1]=>0000000=>0000000 [4,3,2,6,8,1,7,5]=>0000000=>0000000 [1,5,4,2,7,8,3,6]=>1000000=>0000001 [6,1,2,8,7,4,3,5]=>0000000=>0000000 [3,6,5,8,4,7,1,2]=>0000000=>0000000 [3,2,8,1,4,7,6,5]=>0000000=>0000000 [6,4,3,8,2,5,7,1]=>0000000=>0000000 [2,1,7,8,3,4,6,5]=>0100000=>0000010 [5,6,1,8,2,7,4,3]=>0000000=>0000000 [3,6,8,5,2,7,4,1]=>0000000=>0000000 [2,1,6,5,4,8,3,7]=>0100000=>0000010 [2,1,7,3,5,8,6,4]=>0100000=>0000010 [7,8,1,2,4,5,6,3]=>0000000=>0000000 [3,8,7,4,1,2,5,6]=>0000000=>0000000 [4,3,8,7,1,6,5,2]=>0000000=>0000000 [3,7,5,8,1,6,2,4]=>0000000=>0000000 [4,2,7,5,8,3,6,1]=>0000000=>0000000 [5,8,2,7,3,4,6,1]=>0000000=>0000000 [5,7,2,1,8,3,6,4]=>0000000=>0000000 [7,8,1,2,3,4,6,5]=>0000000=>0000000 [5,6,2,4,3,1,8,7]=>0000010=>0100000 [6,3,2,1,4,8,5,7]=>0000000=>0000000 [8,7,6,2,4,3,1,5]=>0000000=>0000000 [7,6,8,1,5,4,3,2]=>0000000=>0000000 [7,6,1,8,5,4,3,2]=>0000000=>0000000 [6,5,8,1,7,4,3,2]=>0000000=>0000000 [4,3,8,7,6,1,5,2]=>0000000=>0000000 [6,5,8,7,4,1,3,2]=>0000000=>0000000 [5,4,8,7,6,3,1,2]=>0000000=>0000000 [1,4,8,6,3,2,5,7]=>1000000=>0000001 [1,6,3,8,5,2,4,7]=>1000000=>0000001 [4,6,3,7,5,2,1,8]=>0000001=>1000000 [3,7,2,6,5,4,1,8]=>0000001=>1000000 [3,2,1,6,8,4,5,7]=>0010000=>0000100 [3,5,7,4,8,6,1,2]=>0000000=>0000000 [5,2,7,4,1,6,8,3]=>0000000=>0000000 [4,5,8,2,1,7,6,3]=>0000000=>0000000 [1,6,4,8,5,2,7,3]=>1000000=>0000001 [7,4,1,5,3,8,2,6]=>0000000=>0000000 [3,4,1,2,7,8,6,5]=>0001000=>0001000 [3,1,2,4,7,6,8,5]=>0011000=>0001100 [8,1,3,5,4,7,2,6]=>0000000=>0000000 [7,1,4,3,5,2,8,6]=>0000000=>0000000 [3,2,8,1,6,5,4,7]=>0000000=>0000000 [6,8,4,1,2,5,3,7]=>0000000=>0000000 [8,2,1,5,6,4,3,7]=>0000000=>0000000 [4,7,1,8,2,5,3,6]=>0000000=>0000000 [6,7,8,1,4,5,3,2]=>0000000=>0000000 [3,2,5,4,7,8,1,6]=>0000000=>0000000 [8,4,7,6,2,3,1,5]=>0000000=>0000000 [6,1,2,8,7,3,5,4]=>0000000=>0000000 [5,7,2,3,8,1,6,4]=>0000000=>0000000 [3,5,2,6,1,8,7,4]=>0000000=>0000000 [3,2,5,6,7,8,1,4]=>0000000=>0000000 [6,4,1,2,8,7,3,5]=>0000000=>0000000 [4,3,8,5,2,1,6,7]=>0000000=>0000000 [7,5,4,2,3,8,1,6]=>0000000=>0000000 [5,6,3,1,8,2,7,4]=>0000000=>0000000 [4,5,2,1,6,8,3,7]=>0000000=>0000000 [5,6,2,8,1,7,4,3]=>0000000=>0000000 [1,5,6,3,4,8,2,7]=>1000000=>0000001 [2,1,4,5,8,6,3,7]=>0100000=>0000010 [1,8,3,4,7,6,2,5]=>1000000=>0000001 [3,1,2,8,6,4,5,7]=>0010000=>0000100 [2,5,6,1,8,4,3,7]=>0000000=>0000000 [5,4,7,6,1,8,2,3]=>0000000=>0000000 [3,5,6,8,4,7,2,1]=>0000000=>0000000 [2,4,8,5,7,3,6,1]=>0000000=>0000000 [5,3,7,8,4,6,2,1]=>0000000=>0000000 [6,7,3,8,4,5,2,1]=>0000000=>0000000 [2,5,3,7,6,8,1,4]=>0000000=>0000000 [4,2,1,8,7,3,5,6]=>0000000=>0000000 [8,7,4,6,2,3,1,5]=>0000000=>0000000 [6,8,3,5,4,7,1,2]=>0000000=>0000000 [1,4,6,3,7,2,8,5]=>1000000=>0000001 [6,2,1,8,4,5,3,7]=>0000000=>0000000 [4,7,3,8,5,2,1,6]=>0000000=>0000000 [4,7,5,1,8,6,3,2]=>0000000=>0000000 [6,2,4,1,7,5,8,3]=>0000000=>0000000 [3,6,5,8,4,1,7,2]=>0000000=>0000000 [5,7,3,1,6,4,8,2]=>0000000=>0000000 [6,1,3,7,4,8,5,2]=>0000000=>0000000 [3,1,5,4,2,8,6,7]=>0000100=>0010000 [4,1,5,2,7,6,3,8]=>0000001=>1000000 [6,2,7,1,4,8,5,3]=>0000000=>0000000 [4,3,2,1,8,5,7,6]=>0001000=>0001000 [7,4,3,2,8,1,6,5]=>0000000=>0000000 [1,8,5,3,6,4,2,7]=>1000000=>0000001 [8,1,6,2,7,4,3,5]=>0000000=>0000000 [7,3,1,6,5,4,2,8]=>0000001=>1000000 [2,8,5,6,1,4,3,7]=>0000000=>0000000 [3,7,5,8,2,1,4,6]=>0000000=>0000000 [6,5,8,4,1,3,7,2]=>0000000=>0000000 [5,4,8,3,2,1,7,6]=>0000000=>0000000 [2,4,7,1,3,6,5,8]=>0000001=>1000000 [5,7,4,8,1,3,6,2]=>0000000=>0000000 [5,1,7,8,2,4,6,3]=>0000000=>0000000 [3,6,7,8,1,2,5,4]=>0000000=>0000000 [4,6,7,2,8,1,3,5]=>0000000=>0000000 [6,3,7,1,8,2,5,4]=>0000000=>0000000 [5,7,1,4,8,2,6,3]=>0000000=>0000000 [6,1,2,7,8,3,5,4]=>0000000=>0000000 [3,6,4,7,8,1,2,5]=>0000000=>0000000 [3,7,4,8,5,2,1,6]=>0000000=>0000000 [4,8,2,1,7,5,3,6]=>0000000=>0000000 [7,3,8,1,6,4,2,5]=>0000000=>0000000 [2,8,7,1,6,3,5,4]=>0000000=>0000000 [2,7,6,5,1,4,3,8]=>0000001=>1000000 [3,8,7,6,2,1,5,4]=>0000000=>0000000 [5,8,7,2,6,1,4,3]=>0000000=>0000000 [7,3,8,6,5,1,2,4]=>0000000=>0000000 [5,8,6,4,3,2,1,7]=>0000000=>0000000 [8,1,2,3,4,7,6,5]=>0000000=>0000000 [3,8,2,7,6,5,4,1]=>0000000=>0000000 [4,2,8,7,6,5,3,1]=>0000000=>0000000 [8,3,1,7,6,5,4,2]=>0000000=>0000000 [5,2,8,7,6,4,3,1]=>0000000=>0000000 [8,3,2,1,7,6,5,4]=>0000000=>0000000 [8,4,1,7,6,5,3,2]=>0000000=>0000000 [4,5,6,2,3,8,1,7]=>0000000=>0000000 [3,2,7,4,5,8,1,6]=>0000000=>0000000 [5,4,6,1,3,8,2,7]=>0000000=>0000000 [2,4,1,7,5,8,3,6]=>0000000=>0000000 [8,1,7,4,2,3,6,5]=>0000000=>0000000 [3,5,8,1,2,4,7,6]=>0000000=>0000000 [3,8,4,1,2,7,6,5]=>0000000=>0000000 [6,4,1,3,2,7,8,5]=>0000000=>0000000 [2,7,1,6,8,3,5,4]=>0000000=>0000000 [8,5,3,2,6,1,7,4]=>0000000=>0000000 [7,8,4,1,2,5,3,6]=>0000000=>0000000 [6,1,4,2,7,5,3,8]=>0000001=>1000000 [7,8,2,1,6,3,5,4]=>0000000=>0000000 [1,2,8,3,6,4,7,5]=>1100000=>0000011 [6,2,3,7,4,1,5,8]=>0000001=>1000000 [6,2,4,1,7,3,5,8]=>0000001=>1000000 [2,7,3,8,6,4,1,5]=>0000000=>0000000 [1,8,3,7,6,4,5,2]=>1000000=>0000001 [2,6,8,5,3,1,7,4]=>0000000=>0000000 [5,6,2,1,7,3,8,4]=>0000000=>0000000 [5,3,6,2,4,1,7,8]=>0000011=>1100000 [5,7,4,2,1,3,6,8]=>0000001=>1000000 [6,4,2,1,5,3,7,8]=>0000011=>1100000 [5,3,1,4,6,2,7,8]=>0000011=>1100000 [1,6,4,2,8,7,3,5]=>1000000=>0000001 [4,8,1,2,6,7,3,5]=>0000000=>0000000 [3,1,2,4,6,8,7,5]=>0011000=>0001100 [4,2,8,1,5,3,7,6]=>0000000=>0000000 [4,3,8,5,7,6,1,2]=>0000000=>0000000 [4,8,6,3,7,5,1,2]=>0000000=>0000000 [3,8,6,5,2,7,1,4]=>0000000=>0000000 [3,8,5,6,1,7,4,2]=>0000000=>0000000 [4,2,7,8,1,3,6,5]=>0000000=>0000000 [6,8,1,5,4,7,3,2]=>0000000=>0000000 [2,6,4,3,1,5,8,7]=>0000010=>0100000 [5,1,7,2,8,6,4,3]=>0000000=>0000000 [6,8,2,5,4,7,1,3]=>0000000=>0000000 [5,8,3,2,7,6,1,4]=>0000000=>0000000 [4,8,3,2,1,7,6,5]=>0000000=>0000000 [2,6,8,3,7,1,4,5]=>0000000=>0000000 [6,8,3,7,2,1,5,4]=>0000000=>0000000 [4,5,8,1,6,3,2,7]=>0000000=>0000000 [6,8,4,7,1,5,3,2]=>0000000=>0000000 [4,3,2,1,6,8,5,7]=>0001000=>0001000 [2,4,1,3,8,7,6,5]=>0001000=>0001000 [4,8,6,5,1,7,3,2]=>0000000=>0000000 [6,5,3,1,7,2,8,4]=>0000000=>0000000 [2,1,5,4,8,7,3,6]=>0100000=>0000010 [2,3,8,5,4,1,6,7]=>0000000=>0000000 [2,1,4,8,6,5,3,7]=>0100000=>0000010 [4,3,2,8,7,6,1,5]=>0000000=>0000000 [3,2,8,7,5,4,1,6]=>0000000=>0000000 [5,4,2,6,3,1,8,7]=>0000010=>0100000 [5,6,3,1,2,4,8,7]=>0000010=>0100000 [3,8,4,1,5,7,2,6]=>0000000=>0000000 [5,6,3,7,4,8,2,1]=>0000000=>0000000 [8,5,2,6,1,7,3,4]=>0000000=>0000000 [5,4,2,6,8,3,7,1]=>0000000=>0000000 [7,6,8,5,1,4,2,3]=>0000000=>0000000 [2,1,7,8,5,3,4,6]=>0100000=>0000010 [4,1,8,2,6,5,3,7]=>0000000=>0000000 [4,7,3,8,1,2,6,5]=>0000000=>0000000 [3,8,1,2,4,6,5,7]=>0000000=>0000000 [4,8,7,6,3,5,2,1]=>0000000=>0000000 [3,8,7,6,5,2,4,1]=>0000000=>0000000 [4,8,7,3,6,5,2,1]=>0000000=>0000000 [4,8,7,6,3,2,5,1]=>0000000=>0000000 [3,8,7,6,5,2,1,4]=>0000000=>0000000 [7,5,8,3,6,2,1,4]=>0000000=>0000000 [7,5,8,3,2,6,1,4]=>0000000=>0000000 [7,5,8,3,2,1,6,4]=>0000000=>0000000 [2,3,7,8,4,1,6,5]=>0000000=>0000000 [2,1,7,5,8,4,6,3]=>0100000=>0000010 [2,5,6,8,1,7,4,3]=>0000000=>0000000 [4,2,8,6,1,7,3,5]=>0000000=>0000000 [8,6,4,1,3,2,5,7]=>0000000=>0000000 [8,1,3,2,6,5,4,7]=>0000000=>0000000 [8,5,3,6,2,4,1,7]=>0000000=>0000000 [8,4,1,2,6,5,3,7]=>0000000=>0000000 [8,3,5,6,2,1,4,7]=>0000000=>0000000 [4,1,8,2,3,7,6,5]=>0000000=>0000000 [3,7,4,5,8,2,1,6]=>0000000=>0000000 [5,3,8,7,4,6,1,2]=>0000000=>0000000 [7,5,8,2,1,4,6,3]=>0000000=>0000000 [7,4,8,3,2,6,1,5]=>0000000=>0000000 [6,8,2,3,1,7,5,4]=>0000000=>0000000 [7,4,3,2,6,8,5,1]=>0000000=>0000000 [5,1,2,3,6,8,7,4]=>0000000=>0000000 [2,4,7,3,8,1,6,5]=>0000000=>0000000 [6,3,8,2,7,4,1,5]=>0000000=>0000000 [8,2,1,3,6,4,7,5]=>0000000=>0000000 [5,7,8,2,1,4,3,6]=>0000000=>0000000 [3,5,1,7,8,4,2,6]=>0000000=>0000000 [1,7,8,4,5,3,2,6]=>1000000=>0000001 [3,2,4,8,6,7,1,5]=>0000000=>0000000 [3,2,5,7,4,8,1,6]=>0000000=>0000000 [8,4,7,1,3,2,5,6]=>0000000=>0000000 [8,4,7,2,1,3,5,6]=>0000000=>0000000 [6,4,2,1,3,7,8,5]=>0000000=>0000000 [7,1,6,3,5,8,2,4]=>0000000=>0000000 [5,3,6,7,8,4,2,1]=>0000000=>0000000 [1,5,2,7,8,6,4,3]=>1000000=>0000001 [4,1,7,5,2,6,8,3]=>0000000=>0000000 [7,6,2,4,5,1,8,3]=>0000000=>0000000 [8,1,4,5,2,6,7,3]=>0000000=>0000000 [3,5,7,2,1,6,8,4]=>0000000=>0000000 [3,5,2,4,7,6,1,8]=>0000001=>1000000 [3,5,2,7,4,6,1,8]=>0000001=>1000000 [3,2,5,7,4,6,1,8]=>0000001=>1000000 [5,7,3,2,4,6,1,8]=>0000001=>1000000 [3,7,5,2,4,1,6,8]=>0000001=>1000000 [3,2,7,5,4,1,6,8]=>0000001=>1000000 [1,7,3,5,2,4,6,8]=>1000001=>1000001 [3,2,1,5,7,4,6,8]=>0010001=>1000100 [3,5,7,2,1,4,6,8]=>0000001=>1000000 [3,5,2,7,1,4,6,8]=>0000001=>1000000 [3,2,5,7,4,1,6,8]=>0000001=>1000000 [3,5,2,7,4,1,6,8]=>0000001=>1000000 [3,5,7,2,4,1,6,8]=>0000001=>1000000 [5,3,7,2,4,1,6,8]=>0000001=>1000000 [5,3,2,4,7,1,6,8]=>0000001=>1000000 [3,2,5,4,7,1,6,8]=>0000001=>1000000 [3,5,2,4,1,7,6,8]=>0000101=>1010000 [3,5,2,1,4,7,6,8]=>0000101=>1010000 [3,5,2,1,7,4,6,8]=>0000001=>1000000 [5,3,1,7,2,4,6,8]=>0000001=>1000000 [1,3,7,5,2,4,6,8]=>1000001=>1000001 [3,7,2,1,5,4,6,8]=>0000001=>1000000 [3,1,7,2,5,4,6,8]=>0000001=>1000000 [1,7,5,3,2,4,6,8]=>1000001=>1000001 [5,8,7,1,2,6,4,3]=>0000000=>0000000 [6,8,2,1,7,5,4,3]=>0000000=>0000000 [5,8,7,4,1,2,6,3]=>0000000=>0000000 [1,8,5,4,2,7,6,3]=>1000000=>0000001 [7,6,4,2,8,5,3,1]=>0000000=>0000000 [7,6,4,8,5,1,2,3]=>0000000=>0000000 [7,6,4,5,1,3,8,2]=>0000000=>0000000 [1,6,7,5,3,8,4,2]=>1000000=>0000001 [7,6,3,5,2,4,8,1]=>0000000=>0000000 [7,6,4,2,5,1,8,3]=>0000000=>0000000 [2,6,5,7,8,3,4,1]=>0000000=>0000000 [5,2,3,4,8,6,1,7]=>0000000=>0000000 [5,3,4,8,2,7,6,1]=>0000000=>0000000 [5,3,8,2,4,1,7,6]=>0000000=>0000000 [5,2,8,4,1,7,3,6]=>0000000=>0000000 [6,4,2,5,1,8,7,3]=>0000000=>0000000 [6,4,3,5,8,2,1,7]=>0000000=>0000000 [6,3,5,4,8,2,7,1]=>0000000=>0000000 [1,5,7,3,4,8,6,2]=>1000000=>0000001 [5,8,4,1,3,7,6,2]=>0000000=>0000000 [6,4,5,3,8,1,7,2]=>0000000=>0000000 [6,4,3,8,5,7,2,1]=>0000000=>0000000 [5,4,2,6,3,1,7,8]=>0000011=>1100000 [4,6,5,3,7,1,2,8]=>0000001=>1000000 [3,5,7,6,1,4,8,2]=>0000000=>0000000 [3,6,5,7,4,8,1,2]=>0000000=>0000000 [4,2,6,5,1,7,3,8]=>0000001=>1000000 [4,3,5,7,2,1,6,8]=>0000001=>1000000 [3,5,4,7,2,6,1,8]=>0000001=>1000000 [3,4,7,6,8,1,2,5]=>0000000=>0000000 [1,8,4,3,7,5,6,2]=>1000000=>0000001 [5,2,8,6,4,7,3,1]=>0000000=>0000000 [1,8,6,3,7,4,2,5]=>1000000=>0000001 [1,8,6,5,7,2,3,4]=>1000000=>0000001 [4,2,8,3,5,7,1,6]=>0000000=>0000000 [1,3,7,2,6,5,8,4]=>1000000=>0000001 [1,5,7,2,4,6,8,3]=>1000000=>0000001 [1,3,6,4,2,5,8,7]=>1000010=>0100001 [5,6,3,4,7,1,8,2]=>0000000=>0000000 [3,5,2,7,4,1,8,6]=>0000000=>0000000 [5,2,3,8,4,1,7,6]=>0000000=>0000000 [7,5,3,4,8,2,1,6]=>0000000=>0000000 [7,6,3,8,4,2,1,5]=>0000000=>0000000 [7,2,8,5,1,6,3,4]=>0000000=>0000000 [7,4,3,8,5,2,6,1]=>0000000=>0000000 [7,2,8,5,1,3,4,6]=>0000000=>0000000 [7,6,8,1,2,5,3,4]=>0000000=>0000000 [1,5,3,7,6,8,4,2]=>1000000=>0000001 [1,2,6,4,5,8,3,7]=>1100000=>0000011 [1,2,7,4,8,5,3,6]=>1100000=>0000011 [1,6,3,7,8,2,4,5]=>1000000=>0000001 [3,2,6,7,8,1,4,5]=>0000000=>0000000 [1,4,7,3,5,2,6,8]=>1000001=>1000001 [3,8,4,7,6,1,5,2]=>0000000=>0000000 [5,7,4,2,6,3,1,8]=>0000001=>1000000 [6,1,3,7,4,2,5,8]=>0000001=>1000000 [2,1,8,3,6,7,4,5]=>0100000=>0000010 [5,7,1,4,2,6,3,8]=>0000001=>1000000 [3,2,6,8,1,5,7,4]=>0000000=>0000000 [7,8,5,4,1,6,3,2]=>0000000=>0000000 [3,6,2,7,8,1,5,4]=>0000000=>0000000 [5,7,8,4,1,6,3,2]=>0000000=>0000000 [3,4,8,1,2,5,7,6]=>0000000=>0000000 [6,3,1,8,2,7,4,5]=>0000000=>0000000 [5,2,8,1,3,4,7,6]=>0000000=>0000000 [3,2,1,6,4,7,8,5]=>0010000=>0000100 [6,1,3,4,2,8,5,7]=>0000000=>0000000 [3,2,6,1,5,7,8,4]=>0000000=>0000000 [3,6,4,2,1,7,8,5]=>0000000=>0000000 [1,8,3,2,6,7,5,4]=>1000000=>0000001 [4,7,5,3,8,2,1,6]=>0000000=>0000000 [1,4,7,6,8,2,3,5]=>1000000=>0000001 [1,3,7,5,6,8,2,4]=>1000000=>0000001 [3,2,7,1,6,8,4,5]=>0000000=>0000000 [3,6,4,7,8,5,2,1]=>0000000=>0000000 [6,3,5,8,7,4,1,2]=>0000000=>0000000 [4,1,8,3,7,5,6,2]=>0000000=>0000000 [4,7,2,8,5,6,3,1]=>0000000=>0000000 [1,4,8,7,3,5,6,2]=>1000000=>0000001 [3,2,8,7,1,5,6,4]=>0000000=>0000000 [1,5,8,7,4,6,2,3]=>1000000=>0000001 [4,8,6,7,5,3,2,1]=>0000000=>0000000 [3,8,7,5,6,4,2,1]=>0000000=>0000000 [8,3,2,1,5,6,4,7]=>0000000=>0000000 [1,7,8,5,4,3,2,6]=>1000000=>0000001 [1,2,6,7,8,4,3,5]=>1100000=>0000011 [8,5,7,1,3,4,6,2]=>0000000=>0000000 [4,7,2,1,5,3,8,6]=>0000000=>0000000 [4,3,7,2,6,8,1,5]=>0000000=>0000000 [1,7,8,2,6,4,5,3]=>1000000=>0000001 [8,7,2,5,4,6,1,3]=>0000000=>0000000 [8,7,1,2,4,5,6,3]=>0000000=>0000000 [8,7,6,1,4,5,3,2]=>0000000=>0000000 [8,7,5,6,1,4,3,2]=>0000000=>0000000 [6,8,7,1,5,4,3,2]=>0000000=>0000000 [8,5,7,6,1,4,3,2]=>0000000=>0000000 [6,7,8,1,5,4,3,2]=>0000000=>0000000 [8,5,6,7,1,4,3,2]=>0000000=>0000000 [8,7,6,3,5,4,1,2]=>0000000=>0000000 [8,7,4,5,6,1,3,2]=>0000000=>0000000 [4,2,8,7,6,5,1,3]=>0000000=>0000000 [7,5,8,1,6,4,3,2]=>0000000=>0000000 [1,5,8,7,6,2,4,3]=>1000000=>0000001 [7,5,8,4,1,6,3,2]=>0000000=>0000000 [6,8,5,1,7,4,3,2]=>0000000=>0000000 [1,6,8,7,2,5,4,3]=>1000000=>0000001 [4,8,5,7,1,6,3,2]=>0000000=>0000000 [5,4,3,6,7,1,8,2]=>0000000=>0000000 [5,4,7,3,6,1,8,2]=>0000000=>0000000 [4,8,7,6,3,1,5,2]=>0000000=>0000000 [6,8,5,7,3,2,1,4]=>0000000=>0000000 [6,8,5,3,7,2,1,4]=>0000000=>0000000 [6,8,5,7,4,2,1,3]=>0000000=>0000000 [2,1,8,7,6,3,4,5]=>0100000=>0000010 [5,8,7,6,2,4,1,3]=>0000000=>0000000 [6,8,2,7,5,1,4,3]=>0000000=>0000000 [5,8,7,2,6,4,1,3]=>0000000=>0000000 [6,8,7,5,2,4,1,3]=>0000000=>0000000 [5,8,7,6,4,2,3,1]=>0000000=>0000000 [2,3,6,1,7,5,8,4]=>0000000=>0000000 [2,3,6,1,8,5,4,7]=>0000000=>0000000 [2,4,1,6,7,5,8,3]=>0000000=>0000000 [2,4,1,7,3,8,6,5]=>0000000=>0000000 [2,4,5,3,7,1,8,6]=>0000000=>0000000 [2,4,5,7,3,8,6,1]=>0000000=>0000000 [2,4,6,3,1,8,5,7]=>0000000=>0000000 [2,4,6,3,8,5,1,7]=>0000000=>0000000 [2,4,7,3,1,5,8,6]=>0000000=>0000000 [2,5,1,6,4,8,3,7]=>0000000=>0000000 [2,5,1,7,4,3,8,6]=>0000000=>0000000 [2,5,6,7,8,4,1,3]=>0000000=>0000000 [2,5,6,8,4,3,1,7]=>0000000=>0000000 [2,6,1,7,4,8,5,3]=>0000000=>0000000 [7,6,4,8,2,1,3,5]=>0000000=>0000000 [7,6,5,2,8,4,1,3]=>0000000=>0000000 [7,6,3,8,2,4,1,5]=>0000000=>0000000 [7,6,5,8,2,4,3,1]=>0000000=>0000000 [6,8,4,7,2,5,3,1]=>0000000=>0000000 [6,4,8,7,5,2,3,1]=>0000000=>0000000 [6,8,4,2,7,5,3,1]=>0000000=>0000000 [6,8,4,7,2,1,5,3]=>0000000=>0000000 [6,8,4,7,3,5,2,1]=>0000000=>0000000 [6,8,4,2,7,1,5,3]=>0000000=>0000000 [6,4,2,8,7,5,3,1]=>0000000=>0000000 [6,8,4,7,3,2,5,1]=>0000000=>0000000 [6,8,4,2,1,7,5,3]=>0000000=>0000000 [6,8,4,7,3,2,1,5]=>0000000=>0000000 [6,8,5,7,1,4,3,2]=>0000000=>0000000 [1,8,7,3,6,2,5,4]=>1000000=>0000001 [5,8,7,2,3,6,1,4]=>0000000=>0000000 [6,8,2,7,5,4,1,3]=>0000000=>0000000 [6,8,3,7,5,2,1,4]=>0000000=>0000000 [6,8,1,7,3,5,4,2]=>0000000=>0000000 [6,8,4,7,3,1,5,2]=>0000000=>0000000 [6,8,1,7,3,2,5,4]=>0000000=>0000000 [3,8,2,7,6,5,1,4]=>0000000=>0000000 [1,8,4,7,6,2,5,3]=>1000000=>0000001 [3,8,1,7,6,2,5,4]=>0000000=>0000000 [1,8,4,7,3,6,5,2]=>1000000=>0000001 [4,8,5,7,1,2,6,3]=>0000000=>0000000 [1,8,4,7,3,2,6,5]=>1000000=>0000001 [6,8,5,2,7,4,1,3]=>0000000=>0000000 [6,8,1,3,7,2,5,4]=>0000000=>0000000 [2,8,1,3,7,6,5,4]=>0000000=>0000000 [2,8,3,4,7,6,1,5]=>0000000=>0000000 [6,8,1,4,2,7,5,3]=>0000000=>0000000 [6,5,4,3,8,7,1,2]=>0000000=>0000000 [3,1,7,2,8,5,6,4]=>0000000=>0000000 [3,1,6,7,4,8,5,2]=>0000000=>0000000 [3,1,5,7,8,4,6,2]=>0000000=>0000000 [8,6,5,7,1,4,3,2]=>0000000=>0000000 [6,4,8,2,7,5,1,3]=>0000000=>0000000 [8,4,7,6,2,5,1,3]=>0000000=>0000000 [3,4,5,6,8,7,1,2]=>0000000=>0000000 [3,4,5,7,8,6,1,2]=>0000000=>0000000 [3,4,5,8,7,6,1,2]=>0000000=>0000000 [3,4,6,7,8,5,1,2]=>0000000=>0000000 [6,4,7,3,5,2,1,8]=>0000001=>1000000 [5,4,7,3,6,2,1,8]=>0000001=>1000000 [5,8,3,6,7,2,1,4]=>0000000=>0000000 [6,4,7,3,2,5,1,8]=>0000001=>1000000 [6,3,7,8,2,4,1,5]=>0000000=>0000000 [5,3,7,6,2,4,1,8]=>0000001=>1000000 [7,5,8,2,6,4,1,3]=>0000000=>0000000 [5,4,7,2,6,8,1,3]=>0000000=>0000000 [5,4,3,2,6,8,1,7]=>0000000=>0000000 [4,8,3,2,5,6,1,7]=>0000000=>0000000 [5,3,7,2,6,4,1,8]=>0000001=>1000000 [6,4,2,7,5,8,1,3]=>0000000=>0000000 [7,5,8,4,1,2,6,3]=>0000000=>0000000 [7,1,8,2,3,6,5,4]=>0000000=>0000000 [7,3,8,4,6,2,1,5]=>0000000=>0000000 [7,1,8,4,2,6,5,3]=>0000000=>0000000 [7,1,8,3,6,2,5,4]=>0000000=>0000000 [7,2,3,4,5,1,8,6]=>0000000=>0000000 [2,7,3,4,1,5,6,8]=>0000001=>1000000 [5,3,6,1,2,7,4,8]=>0000001=>1000000 [10,8,6,4,2,1,3,5,7,9]=>000000000=>000000000 [6,5,4,3,7,8,9,10,1,2]=>000000000=>000000000 [3,8,1,4,5,6,7,2]=>0000000=>0000000 [4,5,3,1,2,8,7,6]=>0000100=>0010000 [4,5,3,1,2,6,8,7]=>0000110=>0110000 [6,5,3,2,1,8,7,4]=>0000000=>0000000 [4,5,2,1,8,7,6,3]=>0000000=>0000000 [3,4,1,8,7,6,5,2]=>0000000=>0000000 [8,1,2,4,5,6,7,3]=>0000000=>0000000 [5,1,2,4,8,6,7,3]=>0000000=>0000000 [4,1,3,8,5,6,7,2]=>0000000=>0000000 [6,1,2,3,5,7,8,4]=>0000000=>0000000 [5,1,3,8,4,6,7,2]=>0000000=>0000000 [4,1,3,5,8,6,7,2]=>0000000=>0000000 [7,5,2,8,6,3,4,1]=>0000000=>0000000 [5,3,8,4,1,2,6,7]=>0000000=>0000000 [6,3,5,8,4,1,2,7]=>0000000=>0000000 [6,3,8,4,5,1,2,7]=>0000000=>0000000 [8,5,1,7,4,6,2,3]=>0000000=>0000000 [7,4,5,1,8,6,2,3]=>0000000=>0000000 [4,2,7,5,8,6,3,1]=>0000000=>0000000 [4,2,8,5,6,3,1,7]=>0000000=>0000000 [4,2,8,5,6,7,3,1]=>0000000=>0000000 [7,4,8,5,6,1,2,3]=>0000000=>0000000 [7,5,8,6,1,2,3,4]=>0000000=>0000000 [7,2,8,3,4,5,6,1]=>0000000=>0000000 [5,2,4,8,6,7,3,1]=>0000000=>0000000 [7,5,8,6,2,3,1,4]=>0000000=>0000000 [7,4,8,5,6,2,3,1]=>0000000=>0000000 [3,4,5,7,6,8,1,2]=>0000000=>0000000 [4,8,2,5,1,3,7,6]=>0000000=>0000000 [4,1,2,8,7,5,3,6]=>0000000=>0000000 [3,1,7,6,8,2,4,5]=>0000000=>0000000 [7,3,5,1,8,2,4,6]=>0000000=>0000000 [7,8,3,1,5,2,4,6]=>0000000=>0000000 [12,10,8,6,4,2,1,3,5,7,9,11]=>00000000000=>00000000000 [1,4,6,7,8,3,5,2]=>1000000=>0000001 [1,5,6,3,7,8,4,2]=>1000000=>0000001 [5,1,2,3,8,6,7,4]=>0000000=>0000000 [2,8,5,3,1,4,6,7]=>0000000=>0000000 [2,4,3,5,7,8,1,6]=>0000000=>0000000 [2,6,3,7,8,1,4,5]=>0000000=>0000000 [3,4,8,1,5,6,7,2]=>0000000=>0000000 [3,5,1,7,4,8,6,2]=>0000000=>0000000 [3,5,8,4,1,6,7,2]=>0000000=>0000000 [3,6,1,8,5,4,7,2]=>0000000=>0000000 [3,6,7,4,8,5,1,2]=>0000000=>0000000 [3,6,8,4,5,1,7,2]=>0000000=>0000000 [4,1,7,3,5,8,6,2]=>0000000=>0000000 [4,6,3,1,8,5,7,2]=>0000000=>0000000 [4,6,7,3,5,8,1,2]=>0000000=>0000000 [4,6,8,3,5,1,7,2]=>0000000=>0000000 [4,7,3,1,8,6,5,2]=>0000000=>0000000 [5,1,6,7,4,8,3,2]=>0000000=>0000000 [5,1,6,7,8,3,4,2]=>0000000=>0000000 [5,6,7,8,4,1,3,2]=>0000000=>0000000 [5,7,3,8,4,6,1,2]=>0000000=>0000000 [5,7,8,4,3,6,1,2]=>0000000=>0000000 [6,1,3,7,8,5,4,2]=>0000000=>0000000 [6,1,8,4,5,3,7,2]=>0000000=>0000000 [6,7,3,8,5,4,1,2]=>0000000=>0000000 [7,1,3,4,8,6,5,2]=>0000000=>0000000 [8,5,1,2,4,3,6,7]=>0000000=>0000000 [8,5,1,4,2,3,6,7]=>0000000=>0000000 [8,7,1,2,3,6,4,5]=>0000000=>0000000 [5,6,8,7,2,3,1,4]=>0000000=>0000000 [5,2,3,6,7,8,1,4]=>0000000=>0000000 [4,2,8,7,5,3,1,6]=>0000000=>0000000 [1,3,2,4,8,5,7,6]=>1011000=>0001101 [1,6,3,2,5,7,8,4]=>1000000=>0000001 [7,6,2,1,4,8,3,5]=>0000000=>0000000 [2,6,5,1,8,7,3,4]=>0000000=>0000000 [1,4,2,7,3,8,6,5]=>1000000=>0000001 [1,2,7,3,8,6,5,4]=>1100000=>0000011 [3,1,8,4,6,2,7,5]=>0000000=>0000000 [1,5,2,3,8,7,4,6]=>1000000=>0000001 [2,8,7,6,3,1,4,5]=>0000000=>0000000 [8,7,6,2,1,4,3,5]=>0000000=>0000000 [8,2,7,4,1,5,3,6]=>0000000=>0000000 [8,7,3,1,4,2,6,5]=>0000000=>0000000 [1,2,5,3,4,8,7,6]=>1100100=>0010011 [1,2,3,8,4,7,6,5]=>1110000=>0000111 [1,6,2,3,7,5,8,4]=>1000000=>0000001 [1,4,8,2,6,3,7,5]=>1000000=>0000001 [8,4,1,7,3,2,5,6]=>0000000=>0000000 [1,8,7,3,2,4,6,5]=>1000000=>0000001 [3,4,1,6,5,7,2,8]=>0000001=>1000000 [3,5,1,6,2,8,7,4]=>0000000=>0000000 [5,4,3,6,1,7,2,8]=>0000001=>1000000 [4,8,7,2,1,6,5,3]=>0000000=>0000000 [6,2,1,8,7,5,4,3]=>0000000=>0000000 [5,8,7,6,3,2,4,1]=>0000000=>0000000 [5,4,7,2,8,1,6,3]=>0000000=>0000000 [2,1,5,8,3,7,4,6]=>0100000=>0000010 [1,2,3,5,8,7,4,6]=>1110000=>0000111 [6,1,2,7,8,4,3,5]=>0000000=>0000000 [5,1,4,8,2,7,3,6]=>0000000=>0000000 [1,2,5,7,8,6,3,4]=>1100000=>0000011 [2,1,3,4,8,5,7,6]=>0111000=>0001110 [6,2,5,1,7,3,8,4]=>0000000=>0000000 [2,4,8,1,3,7,5,6]=>0000000=>0000000 [2,5,1,8,6,3,7,4]=>0000000=>0000000 [2,1,3,7,4,8,6,5]=>0110000=>0000110 [2,6,8,5,1,7,3,4]=>0000000=>0000000 [1,3,2,7,8,5,4,6]=>1010000=>0000101 [7,1,2,3,6,8,4,5]=>0000000=>0000000 [5,1,2,3,8,4,7,6]=>0000000=>0000000 [4,1,2,3,8,7,5,6]=>0001000=>0001000 [2,3,1,8,5,4,7,6]=>0010000=>0000100 [2,3,8,4,1,5,7,6]=>0000000=>0000000 [5,3,1,8,7,2,4,6]=>0000000=>0000000 [1,3,8,4,2,7,6,5]=>1000000=>0000001 [1,2,3,8,5,7,4,6]=>1110000=>0000111 [6,1,7,2,5,8,3,4]=>0000000=>0000000 [4,5,1,8,7,2,3,6]=>0000000=>0000000 [1,4,2,8,5,3,7,6]=>1000000=>0000001 [7,8,6,5,2,1,4,3]=>0000000=>0000000 [8,6,7,5,2,1,4,3]=>0000000=>0000000 [6,7,8,2,1,5,4,3]=>0000000=>0000000 [8,7,5,6,2,1,4,3]=>0000000=>0000000 [4,2,5,1,8,7,3,6]=>0000000=>0000000 [7,2,4,5,8,3,6,1]=>0000000=>0000000 [2,4,7,8,6,1,5,3]=>0000000=>0000000 [4,2,7,1,5,6,8,3]=>0000000=>0000000 [3,2,5,8,1,6,7,4]=>0000000=>0000000 [8,1,4,3,2,5,6,7]=>0000000=>0000000 [1,7,3,2,4,5,6,8]=>1000001=>1000001 [1,6,3,2,4,5,7,8]=>1000011=>1100001 [1,3,8,4,2,5,6,7]=>1000000=>0000001 [5,1,8,2,4,3,6,7]=>0000000=>0000000 [1,7,2,4,5,8,6,3]=>1000000=>0000001 [1,3,8,2,6,4,5,7]=>1000000=>0000001 [6,1,2,7,4,3,8,5]=>0000000=>0000000 [7,6,1,3,8,2,4,5]=>0000000=>0000000 [5,4,1,2,3,8,6,7]=>0000100=>0010000 [6,7,8,5,2,4,1,3]=>0000000=>0000000 [3,4,5,8,2,1,7,6]=>0000000=>0000000 [3,4,6,2,7,1,5,8]=>0000001=>1000000 [3,4,6,1,5,2,7,8]=>0000011=>1100000 [3,4,7,2,1,6,5,8]=>0000001=>1000000 [3,5,2,6,1,4,7,8]=>0000011=>1100000 [3,5,2,7,1,6,4,8]=>0000001=>1000000 [3,5,2,1,4,6,7,8]=>0000111=>1110000 [3,5,6,4,8,2,1,7]=>0000000=>0000000 [3,5,6,4,1,2,7,8]=>0000011=>1100000 [3,5,6,8,4,2,1,7]=>0000000=>0000000 [3,5,6,1,4,2,7,8]=>0000011=>1100000 [3,5,7,4,2,8,1,6]=>0000000=>0000000 [3,5,7,4,2,1,6,8]=>0000001=>1000000 [3,5,7,4,8,1,6,2]=>0000000=>0000000 [3,5,7,1,4,6,2,8]=>0000001=>1000000 [3,5,8,1,4,6,7,2]=>0000000=>0000000 [3,6,2,4,8,1,7,5]=>0000000=>0000000 [3,6,2,7,8,5,1,4]=>0000000=>0000000 [3,6,2,7,8,1,4,5]=>0000000=>0000000 [3,6,2,1,5,4,7,8]=>0000011=>1100000 [3,6,7,8,5,1,2,4]=>0000000=>0000000 [3,6,7,8,1,5,2,4]=>0000000=>0000000 [3,7,2,4,5,8,1,6]=>0000000=>0000000 [3,7,2,4,8,1,6,5]=>0000000=>0000000 [3,7,2,8,5,6,1,4]=>0000000=>0000000 [3,7,2,1,5,6,4,8]=>0000001=>1000000 [3,7,8,4,5,1,6,2]=>0000000=>0000000 [3,8,2,4,1,6,7,5]=>0000000=>0000000 [8,1,5,4,3,6,7,2]=>0000000=>0000000 [4,1,7,3,5,6,8,2]=>0000000=>0000000 [6,1,7,3,8,4,5,2]=>0000000=>0000000 [4,1,3,6,7,8,5,2]=>0000000=>0000000 [3,5,2,4,1,6,7,8]=>0000111=>1110000 [2,3,7,8,1,6,5,4]=>0000000=>0000000 [2,6,5,8,1,3,7,4]=>0000000=>0000000 [6,4,7,5,8,2,3,1]=>0000000=>0000000 [6,7,4,1,8,2,3,5]=>0000000=>0000000 [6,7,8,1,4,2,5,3]=>0000000=>0000000 [5,2,6,1,4,8,3,7]=>0000000=>0000000 [7,2,3,5,8,1,4,6]=>0000000=>0000000 [2,4,7,5,8,1,3,6]=>0000000=>0000000 [2,3,6,5,1,8,7,4]=>0000000=>0000000 [2,3,4,8,1,5,7,6]=>0000000=>0000000 [2,7,8,5,1,4,6,3]=>0000000=>0000000 [2,3,7,5,8,1,4,6]=>0000000=>0000000 [2,3,6,8,5,1,7,4]=>0000000=>0000000 [7,6,4,5,1,8,2,3]=>0000000=>0000000 [7,4,6,8,1,5,2,3]=>0000000=>0000000 [2,6,7,8,5,3,1,4]=>0000000=>0000000 [2,5,6,1,4,8,3,7]=>0000000=>0000000 [2,6,4,8,5,7,3,1]=>0000000=>0000000 [2,5,8,1,4,6,7,3]=>0000000=>0000000 [7,2,3,4,8,1,6,5]=>0000000=>0000000 [3,2,5,7,8,1,6,4]=>0000000=>0000000 [6,4,1,7,8,2,3,5]=>0000000=>0000000 [5,7,6,1,2,8,3,4]=>0000000=>0000000 [5,6,8,1,2,4,7,3]=>0000000=>0000000 [6,2,3,4,5,8,1,7]=>0000000=>0000000 [4,7,1,3,8,2,6,5]=>0000000=>0000000 [5,4,1,6,7,8,2,3]=>0000000=>0000000 [5,7,1,8,6,2,3,4]=>0000000=>0000000 [7,3,5,1,8,2,6,4]=>0000000=>0000000 [5,6,7,3,8,2,1,4]=>0000000=>0000000 [5,7,3,2,8,6,1,4]=>0000000=>0000000 [5,7,8,3,1,6,2,4]=>0000000=>0000000 [5,8,3,2,1,6,7,4]=>0000000=>0000000 [6,2,7,3,8,5,1,4]=>0000000=>0000000 [6,2,3,7,8,5,1,4]=>0000000=>0000000 [1,5,8,3,2,6,7,4]=>1000000=>0000001 [1,6,7,8,5,2,3,4]=>1000000=>0000001 [1,6,7,8,4,2,3,5]=>1000000=>0000001 [1,2,6,8,4,3,7,5]=>1100000=>0000011 [1,8,3,4,2,6,7,5]=>1000000=>0000001 [6,2,7,8,4,1,3,5]=>0000000=>0000000 [6,2,3,7,8,1,4,5]=>0000000=>0000000 [4,5,7,1,8,6,2,3]=>0000000=>0000000 [4,5,7,8,2,6,1,3]=>0000000=>0000000 [4,6,2,8,5,1,7,3]=>0000000=>0000000 [4,6,7,1,8,5,2,3]=>0000000=>0000000 [4,7,2,8,5,6,1,3]=>0000000=>0000000 [4,8,2,1,5,6,7,3]=>0000000=>0000000 [1,2,8,4,5,3,7,6]=>1100000=>0000011 [1,2,3,7,8,5,4,6]=>1110000=>0000111 [1,2,3,8,5,4,7,6]=>1110000=>0000111 [1,7,3,8,5,4,2,6]=>1000000=>0000001 [5,2,7,4,8,6,1,3]=>0000000=>0000000 [5,6,2,7,8,1,4,3]=>0000000=>0000000 [5,8,2,4,1,6,7,3]=>0000000=>0000000 [6,2,1,7,8,5,4,3]=>0000000=>0000000 [6,7,2,8,5,4,1,3]=>0000000=>0000000 [6,8,2,4,5,1,7,3]=>0000000=>0000000 [3,2,5,6,8,1,4,7]=>0000000=>0000000 [7,1,3,2,8,4,5,6]=>0000000=>0000000 [7,1,6,3,8,2,4,5]=>0000000=>0000000 [6,1,5,8,2,3,4,7]=>0000000=>0000000 [8,1,6,7,4,2,3,5]=>0000000=>0000000 [6,1,5,8,2,3,7,4]=>0000000=>0000000 [4,1,7,2,5,8,3,6]=>0000000=>0000000 [8,1,6,3,4,7,2,5]=>0000000=>0000000 [8,1,7,3,2,5,6,4]=>0000000=>0000000 [4,1,8,2,5,6,7,3]=>0000000=>0000000 [3,8,1,2,7,5,4,6]=>0000000=>0000000 [8,4,7,1,3,2,6,5]=>0000000=>0000000 [8,5,7,3,1,2,6,4]=>0000000=>0000000 [3,8,1,2,4,5,7,6]=>0000000=>0000000 [7,6,2,1,8,4,3,5]=>0000000=>0000000 [8,5,2,3,6,1,4,7]=>0000000=>0000000 [8,5,7,1,4,3,2,6]=>0000000=>0000000 [3,6,1,4,2,8,5,7]=>0000000=>0000000 [7,6,8,1,4,5,2,3]=>0000000=>0000000 [3,7,1,4,2,8,6,5]=>0000000=>0000000 [5,4,3,8,2,1,7,6]=>0000000=>0000000 [5,8,7,3,2,1,6,4]=>0000000=>0000000 [2,3,7,1,6,8,5,4]=>0000000=>0000000 [2,6,1,5,7,4,8,3]=>0000000=>0000000 [2,3,6,1,8,4,7,5]=>0000000=>0000000 [3,5,1,4,6,7,8,2]=>0000000=>0000000 [4,5,6,2,1,7,8,3]=>0000000=>0000000 [5,2,4,7,6,3,8,1]=>0000000=>0000000 [8,7,6,1,4,3,5,2]=>0000000=>0000000 [8,7,6,1,3,4,5,2]=>0000000=>0000000 [8,7,1,4,5,6,3,2]=>0000000=>0000000 [8,1,5,6,7,4,3,2]=>0000000=>0000000 [5,8,3,4,1,6,2,7]=>0000000=>0000000 [4,2,6,1,7,8,5,3]=>0000000=>0000000 [1,5,2,6,7,8,4,3]=>1000000=>0000001 [1,5,6,7,4,8,2,3]=>1000000=>0000001 [4,2,7,8,5,6,1,3]=>0000000=>0000000 [5,6,2,7,3,8,4,1]=>0000000=>0000000 [3,7,2,8,4,1,5,6]=>0000000=>0000000 [3,5,2,4,7,8,6,1]=>0000000=>0000000 [5,1,3,8,2,4,6,7]=>0000000=>0000000 [1,8,7,6,3,4,5,2]=>1000000=>0000001 [8,5,7,6,3,2,1,4]=>0000000=>0000000 [8,7,5,3,1,6,4,2]=>0000000=>0000000 [7,8,1,4,5,6,3,2]=>0000000=>0000000 [4,2,8,3,5,1,7,6]=>0000000=>0000000 [4,2,7,8,1,6,5,3]=>0000000=>0000000 [5,1,3,4,2,6,7,8]=>0000111=>1110000 [4,2,7,3,1,6,5,8]=>0000001=>1000000 [2,3,4,5,8,1,7,6]=>0000000=>0000000 [4,1,5,3,6,7,8,2]=>0000000=>0000000 [5,1,6,3,4,7,8,2]=>0000000=>0000000 [2,1,7,5,3,8,6,4]=>0100000=>0000010 [3,2,1,6,4,5,7,8]=>0010011=>1100100 [3,8,1,2,5,4,7,6]=>0000000=>0000000 [7,5,8,6,3,2,1,4]=>0000000=>0000000 [6,4,2,1,8,5,3,7]=>0000000=>0000000 [5,3,8,4,2,1,6,7]=>0000000=>0000000 [7,4,5,2,1,8,6,3]=>0000000=>0000000 [6,3,8,4,5,2,1,7]=>0000000=>0000000 [7,4,8,5,6,2,1,3]=>0000000=>0000000 [7,3,8,4,5,6,2,1]=>0000000=>0000000 [1,8,7,2,6,5,4,3]=>1000000=>0000001 [1,8,7,6,2,3,4,5]=>1000000=>0000001 [1,8,2,5,6,7,4,3]=>1000000=>0000001 [1,2,8,3,4,5,7,6]=>1100000=>0000011 [7,4,1,2,8,3,5,6]=>0000000=>0000000 [6,4,1,2,8,3,5,7]=>0000000=>0000000 [4,8,1,2,3,7,5,6]=>0000000=>0000000 [6,5,1,2,3,8,4,7]=>0000000=>0000000 [1,8,5,2,3,7,4,6]=>1000000=>0000001 [6,5,1,2,7,3,8,4]=>0000000=>0000000 [7,6,4,1,8,2,3,5]=>0000000=>0000000 [7,6,3,1,8,2,4,5]=>0000000=>0000000 [7,5,4,1,8,2,3,6]=>0000000=>0000000 [7,6,1,4,8,2,3,5]=>0000000=>0000000 [1,2,8,5,3,7,4,6]=>1100000=>0000011 [1,2,7,3,8,6,4,5]=>1100000=>0000011 [7,5,1,6,8,2,3,4]=>0000000=>0000000 [4,1,2,8,6,3,7,5]=>0000000=>0000000 [5,4,1,6,2,7,8,3]=>0000000=>0000000 [6,5,3,1,8,2,4,7]=>0000000=>0000000 [3,8,1,6,7,2,4,5]=>0000000=>0000000 [6,5,3,7,1,2,8,4]=>0000000=>0000000 [7,1,4,2,6,8,3,5]=>0000000=>0000000 [1,2,6,8,3,5,4,7]=>1100000=>0000011 [1,2,3,7,8,6,4,5]=>1110000=>0000111 [1,6,8,5,2,7,3,4]=>1000000=>0000001 [1,4,8,2,3,7,6,5]=>1000000=>0000001 [1,2,8,3,5,7,6,4]=>1100000=>0000011 [4,5,1,7,6,8,2,3]=>0000000=>0000000 [1,4,2,5,6,8,7,3]=>1000000=>0000001 [8,2,7,3,1,5,6,4]=>0000000=>0000000 [7,2,1,8,4,5,6,3]=>0000000=>0000000 [4,2,7,1,3,8,6,5]=>0000000=>0000000 [8,2,6,3,4,7,1,5]=>0000000=>0000000 [7,2,3,4,1,8,6,5]=>0000000=>0000000 [4,2,8,1,5,6,3,7]=>0000000=>0000000 [8,2,7,3,1,4,5,6]=>0000000=>0000000 [5,3,1,6,2,7,8,4]=>0000000=>0000000 [5,2,1,3,6,7,8,4]=>0000000=>0000000 [6,5,3,8,7,2,1,4]=>0000000=>0000000 [5,4,8,7,3,2,1,6]=>0000000=>0000000 [6,4,3,8,7,2,1,5]=>0000000=>0000000 [5,6,3,1,4,2,7,8]=>0000011=>1100000 [5,2,6,1,4,3,7,8]=>0000011=>1100000 [5,8,3,1,4,6,7,2]=>0000000=>0000000 [6,2,7,4,1,5,3,8]=>0000001=>1000000 [6,7,3,8,1,5,2,4]=>0000000=>0000000 [6,7,3,4,1,5,2,8]=>0000001=>1000000 [6,7,8,1,5,4,2,3]=>0000000=>0000000 [4,5,7,8,2,1,6,3]=>0000000=>0000000 [7,2,3,8,1,6,5,4]=>0000000=>0000000 [7,2,3,8,5,1,6,4]=>0000000=>0000000 [7,2,3,1,5,6,4,8]=>0000001=>1000000 [7,2,8,4,1,6,5,3]=>0000000=>0000000 [7,2,8,4,5,1,6,3]=>0000000=>0000000 [4,6,3,8,1,5,7,2]=>0000000=>0000000 [4,6,7,3,8,1,2,5]=>0000000=>0000000 [4,6,7,8,1,5,3,2]=>0000000=>0000000 [4,6,7,1,5,2,3,8]=>0000001=>1000000 [4,6,8,3,1,5,7,2]=>0000000=>0000000 [4,7,3,8,5,1,6,2]=>0000000=>0000000 [4,7,3,8,1,6,5,2]=>0000000=>0000000 [4,1,8,2,7,3,5,6]=>0000000=>0000000 [1,8,4,2,7,3,5,6]=>1000000=>0000001 [7,4,1,2,6,8,3,5]=>0000000=>0000000 [8,7,1,2,4,5,3,6]=>0000000=>0000000 [5,4,1,2,7,8,3,6]=>0000000=>0000000 [1,5,2,8,3,4,7,6]=>1000000=>0000001 [7,1,2,5,3,6,8,4]=>0000000=>0000000 [1,8,2,5,6,3,7,4]=>1000000=>0000001 [1,5,2,4,6,7,8,3]=>1000000=>0000001 [3,1,8,2,5,4,6,7]=>0000000=>0000000 [3,1,7,5,8,2,4,6]=>0000000=>0000000 [1,7,3,2,8,4,5,6]=>1000000=>0000001 [1,6,4,2,3,5,8,7]=>1000010=>0100001 [1,7,4,2,3,5,8,6]=>1000000=>0000001 [1,7,4,2,3,6,8,5]=>1000000=>0000001 [1,2,7,3,8,4,6,5]=>1100000=>0000011 [7,1,3,4,5,8,2,6]=>0000000=>0000000 [1,8,7,6,3,2,4,5]=>1000000=>0000001 [1,7,4,5,2,6,8,3]=>1000000=>0000001 [1,4,8,5,6,2,7,3]=>1000000=>0000001 [3,2,1,8,7,4,5,6]=>0010000=>0000100 [3,2,8,7,6,1,5,4]=>0000000=>0000000 [6,5,8,7,3,2,1,4]=>0000000=>0000000 [4,6,2,8,5,3,7,1]=>0000000=>0000000 [5,3,8,4,6,2,7,1]=>0000000=>0000000 [4,6,2,7,1,8,5,3]=>0000000=>0000000 [6,2,5,3,8,4,7,1]=>0000000=>0000000 [4,6,5,3,8,2,7,1]=>0000000=>0000000 [5,7,8,4,3,2,1,6]=>0000000=>0000000 [4,6,8,7,3,2,1,5]=>0000000=>0000000 [2,4,8,7,6,5,1,3]=>0000000=>0000000 [4,7,6,8,3,2,1,5]=>0000000=>0000000 [4,6,7,8,3,2,1,5]=>0000000=>0000000 [3,5,6,8,7,2,1,4]=>0000000=>0000000 [1,4,8,7,6,3,5,2]=>1000000=>0000001 [2,5,4,7,3,8,1,6]=>0000000=>0000000 [2,4,6,1,5,8,3,7]=>0000000=>0000000 [2,5,4,8,6,7,3,1]=>0000000=>0000000 [3,4,1,7,6,8,5,2]=>0000000=>0000000 [3,6,1,7,8,4,2,5]=>0000000=>0000000 [4,3,6,2,8,1,7,5]=>0000000=>0000000 [5,3,4,7,2,8,1,6]=>0000000=>0000000 [4,5,7,2,1,8,3,6]=>0000000=>0000000 [4,5,8,2,1,6,7,3]=>0000000=>0000000 [3,6,1,7,2,5,8,4]=>0000000=>0000000 [6,3,7,8,2,5,1,4]=>0000000=>0000000 [6,7,4,8,2,5,3,1]=>0000000=>0000000 [3,5,1,4,7,2,8,6]=>0000000=>0000000 [4,7,8,5,6,2,1,3]=>0000000=>0000000 [3,5,1,4,8,7,2,6]=>0000000=>0000000 [4,5,6,3,8,2,1,7]=>0000000=>0000000 [4,2,6,3,7,8,1,5]=>0000000=>0000000 [4,2,7,3,5,8,1,6]=>0000000=>0000000 [5,1,2,7,8,6,4,3]=>0000000=>0000000 [4,1,2,7,8,6,3,5]=>0000000=>0000000 [4,1,8,7,2,6,3,5]=>0000000=>0000000 [5,1,8,2,7,6,3,4]=>0000000=>0000000 [7,1,6,2,8,3,4,5]=>0000000=>0000000 [4,5,2,8,7,3,1,6]=>0000000=>0000000 [8,2,1,7,4,6,3,5]=>0000000=>0000000 [4,5,2,8,7,1,6,3]=>0000000=>0000000 [4,2,5,7,3,1,8,6]=>0000000=>0000000 [4,2,8,7,1,3,6,5]=>0000000=>0000000 [8,2,1,7,3,5,4,6]=>0000000=>0000000 [5,2,6,3,8,7,1,4]=>0000000=>0000000 [5,2,3,8,7,1,4,6]=>0000000=>0000000 [6,1,2,8,3,7,4,5]=>0000000=>0000000 [5,6,7,3,8,1,2,4]=>0000000=>0000000 [8,1,7,3,5,4,2,6]=>0000000=>0000000 [7,1,6,8,5,2,3,4]=>0000000=>0000000 [8,1,7,3,5,2,6,4]=>0000000=>0000000 [6,2,3,8,7,5,1,4]=>0000000=>0000000 [3,8,5,7,2,4,1,6]=>0000000=>0000000 [3,6,5,8,2,1,7,4]=>0000000=>0000000 [7,6,2,3,4,1,8,5]=>0000000=>0000000 [4,8,6,7,1,2,3,5]=>0000000=>0000000 [8,5,7,3,1,6,2,4]=>0000000=>0000000 [3,8,6,1,4,7,2,5]=>0000000=>0000000 [3,7,6,8,2,5,1,4]=>0000000=>0000000 [8,6,2,3,1,5,7,4]=>0000000=>0000000 [3,8,7,1,2,5,6,4]=>0000000=>0000000 [3,4,8,2,5,6,7,1]=>0000000=>0000000 [6,3,4,8,7,5,1,2]=>0000000=>0000000 [2,1,8,5,6,7,3,4]=>0100000=>0000010 [8,3,2,5,6,7,1,4]=>0000000=>0000000 [4,8,6,7,3,5,2,1]=>0000000=>0000000 [4,3,1,2,6,7,8,5]=>0001000=>0001000 [7,4,6,5,8,3,2,1]=>0000000=>0000000 [2,5,8,6,7,3,1,4]=>0000000=>0000000 [1,4,6,5,2,7,3,8]=>1000001=>1000001 [2,3,4,1,8,7,5,6]=>0001000=>0001000 [4,2,6,5,1,8,7,3]=>0000000=>0000000 [7,8,4,2,1,5,6,3]=>0000000=>0000000 [7,8,2,3,6,1,5,4]=>0000000=>0000000 [2,1,7,8,4,5,6,3]=>0100000=>0000010 [8,6,2,7,1,3,5,4]=>0000000=>0000000 [5,8,2,3,4,7,6,1]=>0000000=>0000000 [2,5,1,4,3,7,6,8]=>0000101=>1010000 [1,4,5,3,7,2,8,6]=>1000000=>0000001 [5,1,4,3,7,2,8,6]=>0000000=>0000000 [1,6,7,4,3,2,8,5]=>1000000=>0000001 [2,6,7,3,1,4,5,8]=>0000001=>1000000 [5,1,4,6,7,2,3,8]=>0000001=>1000000 [2,6,4,3,1,8,5,7]=>0000000=>0000000 [1,6,5,2,3,4,8,7]=>1000010=>0100001 [7,8,2,1,5,4,3,6]=>0000000=>0000000 [7,8,1,2,3,6,4,5]=>0000000=>0000000 [1,4,7,8,5,2,3,6]=>1000000=>0000001 [1,3,2,6,5,8,4,7]=>1010000=>0000101 [2,1,5,7,8,4,3,6]=>0100000=>0000010 [3,1,7,2,6,5,8,4]=>0000000=>0000000 [1,3,2,7,5,4,8,6]=>1010000=>0000101 [1,4,5,8,6,2,3,7]=>1000000=>0000001 [1,6,7,2,3,5,8,4]=>1000000=>0000001 [2,4,1,8,6,5,3,7]=>0000000=>0000000 [2,3,4,6,8,5,7,1]=>0000000=>0000000 [3,6,2,4,7,5,8,1]=>0000000=>0000000 [4,3,5,8,7,2,6,1]=>0000000=>0000000 [5,1,6,3,7,8,4,2]=>0000000=>0000000 [4,2,6,7,5,1,8,3]=>0000000=>0000000 [6,4,7,5,8,3,2,1]=>0000000=>0000000 [3,6,7,5,8,1,4,2]=>0000000=>0000000 [3,2,7,4,6,1,8,5]=>0000000=>0000000 [8,2,4,1,6,7,5,3]=>0000000=>0000000 [3,4,8,7,6,1,5,2]=>0000000=>0000000 [4,3,8,7,6,2,5,1]=>0000000=>0000000 [4,3,7,5,8,6,2,1]=>0000000=>0000000 [3,4,7,5,8,6,1,2]=>0000000=>0000000 [2,7,5,6,8,3,4,1]=>0000000=>0000000 [7,8,3,4,6,5,1,2]=>0000000=>0000000 [2,1,7,6,8,4,5,3]=>0100000=>0000010 [3,5,4,7,6,1,8,2]=>0000000=>0000000 [6,5,4,2,7,8,3,1]=>0000000=>0000000 [2,6,8,5,7,4,3,1]=>0000000=>0000000 [2,1,8,6,7,5,4,3]=>0100000=>0000010 [2,5,3,1,6,4,7,8]=>0000011=>1100000 [7,5,4,2,3,1,8,6]=>0000000=>0000000 [6,3,2,4,5,8,1,7]=>0000000=>0000000 [3,5,4,2,8,6,1,7]=>0000000=>0000000 [5,6,8,7,3,2,1,4]=>0000000=>0000000 [6,4,5,3,2,8,1,7]=>0000000=>0000000 [4,2,5,7,3,1,6,8]=>0000001=>1000000 [7,4,1,3,2,6,8,5]=>0000000=>0000000 [1,6,4,2,3,7,8,5]=>1000000=>0000001 [1,4,5,3,8,2,6,7]=>1000000=>0000001 [6,2,5,1,3,7,4,8]=>0000001=>1000000 [7,6,5,8,1,2,4,3]=>0000000=>0000000 [5,7,4,1,3,6,2,8]=>0000001=>1000000 [4,3,8,1,6,5,7,2]=>0000000=>0000000 [3,2,8,1,6,7,4,5]=>0000000=>0000000 [7,2,6,3,8,1,5,4]=>0000000=>0000000 [7,2,8,1,6,3,5,4]=>0000000=>0000000 [7,4,8,2,3,5,6,1]=>0000000=>0000000 [7,4,8,1,5,6,2,3]=>0000000=>0000000 [7,2,8,1,6,5,4,3]=>0000000=>0000000 [8,6,5,7,2,1,4,3]=>0000000=>0000000 [2,4,7,8,5,6,3,1]=>0000000=>0000000 [2,8,1,3,5,6,7,4]=>0000000=>0000000 [3,8,7,5,2,6,4,1]=>0000000=>0000000 [1,8,7,3,4,6,5,2]=>1000000=>0000001 [2,8,1,4,5,7,6,3]=>0000000=>0000000 [1,2,6,7,8,3,5,4]=>1100000=>0000011 [1,2,6,8,7,3,4,5]=>1100000=>0000011 [3,7,8,1,5,6,2,4]=>0000000=>0000000 [4,1,3,7,6,8,5,2]=>0000000=>0000000 [6,5,7,8,1,4,3,2]=>0000000=>0000000 [3,1,8,6,7,5,4,2]=>0000000=>0000000 [2,8,3,1,7,5,4,6]=>0000000=>0000000 [4,1,2,6,7,5,3,8]=>0000001=>1000000 [1,2,5,3,8,6,4,7]=>1100000=>0000011 [5,8,7,6,2,1,3,4]=>0000000=>0000000 [3,6,8,2,5,7,4,1]=>0000000=>0000000 [3,2,8,5,6,1,7,4]=>0000000=>0000000 [3,4,8,1,5,7,6,2]=>0000000=>0000000 [4,5,6,2,7,3,8,1]=>0000000=>0000000 [3,5,8,7,4,6,2,1]=>0000000=>0000000 [3,5,7,6,2,4,8,1]=>0000000=>0000000 [1,6,8,7,4,5,3,2]=>1000000=>0000001 [1,3,5,6,8,7,2,4]=>1000000=>0000001 [3,5,6,7,8,2,4,1]=>0000000=>0000000 [8,5,6,7,2,4,3,1]=>0000000=>0000000 [7,8,4,5,1,6,3,2]=>0000000=>0000000 [4,5,6,8,3,7,2,1]=>0000000=>0000000 [8,1,4,3,6,5,2,7]=>0000000=>0000000 [8,1,2,3,6,5,4,7]=>0000000=>0000000 [8,1,2,3,7,6,5,4]=>0000000=>0000000 [2,8,1,6,7,5,3,4]=>0000000=>0000000 [4,8,5,2,7,1,6,3]=>0000000=>0000000 [3,7,8,4,6,2,1,5]=>0000000=>0000000 [8,3,1,5,7,6,2,4]=>0000000=>0000000 [4,5,2,8,6,7,1,3]=>0000000=>0000000 [8,4,5,1,3,2,6,7]=>0000000=>0000000 [8,1,6,7,2,5,4,3]=>0000000=>0000000 [5,4,1,3,2,8,7,6]=>0000100=>0010000 [3,2,7,4,1,6,5,8]=>0000001=>1000000 [5,7,3,2,1,6,4,8]=>0000001=>1000000 [7,6,5,1,3,4,2,8]=>0000001=>1000000 [7,6,5,1,4,2,3,8]=>0000001=>1000000 [1,7,6,3,2,4,5,8]=>1000001=>1000001 [1,5,7,2,4,3,6,8]=>1000001=>1000001 [7,1,6,8,2,4,5,3]=>0000000=>0000000 [5,8,1,3,4,7,2,6]=>0000000=>0000000 [5,8,6,2,3,1,4,7]=>0000000=>0000000 [3,8,2,7,6,4,1,5]=>0000000=>0000000 [1,6,8,4,7,5,3,2]=>1000000=>0000001 [6,5,8,3,7,4,2,1]=>0000000=>0000000 [2,6,8,5,4,7,3,1]=>0000000=>0000000 [2,7,4,6,8,5,3,1]=>0000000=>0000000 [6,4,7,8,3,5,2,1]=>0000000=>0000000 [7,3,4,2,6,1,8,5]=>0000000=>0000000 [2,3,7,4,6,1,8,5]=>0000000=>0000000 [7,5,4,2,6,3,8,1]=>0000000=>0000000 [5,4,7,2,6,1,8,3]=>0000000=>0000000 [5,2,7,4,6,1,8,3]=>0000000=>0000000 [5,2,4,1,7,6,8,3]=>0000000=>0000000 [4,2,7,5,6,1,8,3]=>0000000=>0000000 [4,2,7,5,6,3,8,1]=>0000000=>0000000 [2,6,4,3,7,5,8,1]=>0000000=>0000000 [4,3,7,5,8,6,1,2]=>0000000=>0000000 [6,7,4,8,3,5,2,1]=>0000000=>0000000 [3,6,8,5,4,7,1,2]=>0000000=>0000000 [6,7,5,8,2,4,3,1]=>0000000=>0000000 [2,5,4,1,7,8,6,3]=>0000000=>0000000 [1,6,3,2,5,8,7,4]=>1000000=>0000001 [1,6,8,3,2,4,7,5]=>1000000=>0000001 [1,8,7,6,4,2,3,5]=>1000000=>0000001 [8,6,1,2,4,5,7,3]=>0000000=>0000000 [1,8,6,7,3,4,5,2]=>1000000=>0000001 [1,7,3,8,2,4,6,5]=>1000000=>0000001 [8,4,3,1,5,6,7,2]=>0000000=>0000000 [1,8,7,6,3,4,2,5]=>1000000=>0000001 [7,1,3,8,4,5,2,6]=>0000000=>0000000 [1,8,5,3,7,6,2,4]=>1000000=>0000001 [3,5,2,6,1,4,8,7]=>0000010=>0100000 [4,5,7,2,3,8,6,1]=>0000000=>0000000 [4,5,7,2,3,8,1,6]=>0000000=>0000000 [4,5,6,2,3,1,8,7]=>0000010=>0100000 [4,5,6,2,1,3,8,7]=>0000010=>0100000 [4,5,6,1,3,2,8,7]=>0000010=>0100000 [4,5,6,3,1,2,8,7]=>0000010=>0100000 [4,5,7,3,2,8,1,6]=>0000000=>0000000 [4,6,7,3,8,2,5,1]=>0000000=>0000000 [4,6,7,3,8,2,1,5]=>0000000=>0000000 [4,5,7,3,1,8,2,6]=>0000000=>0000000 [3,5,1,7,4,8,2,6]=>0000000=>0000000 [2,1,5,7,4,8,3,6]=>0100000=>0000010 [4,5,7,1,3,8,6,2]=>0000000=>0000000 [4,6,7,3,8,1,5,2]=>0000000=>0000000 [5,6,7,8,3,1,4,2]=>0000000=>0000000 [4,6,7,1,8,3,5,2]=>0000000=>0000000 [3,6,1,7,8,4,5,2]=>0000000=>0000000 [2,1,6,7,8,4,5,3]=>0100000=>0000010 [2,1,6,7,8,4,3,5]=>0100000=>0000010 [4,6,7,1,8,3,2,5]=>0000000=>0000000 [5,6,7,8,1,3,2,4]=>0000000=>0000000 [4,6,7,2,8,3,5,1]=>0000000=>0000000 [3,6,2,7,8,4,5,1]=>0000000=>0000000 [3,6,2,7,8,4,1,5]=>0000000=>0000000 [3,4,2,1,7,8,5,6]=>0001000=>0001000 [4,6,7,2,8,5,3,1]=>0000000=>0000000 [4,6,7,2,8,5,1,3]=>0000000=>0000000 [4,5,7,1,2,8,6,3]=>0000000=>0000000 [2,1,6,7,8,3,5,4]=>0100000=>0000010 [3,6,1,7,8,2,5,4]=>0000000=>0000000 [4,6,7,1,8,2,5,3]=>0000000=>0000000 [5,6,7,8,1,2,4,3]=>0000000=>0000000 [5,6,7,8,2,4,1,3]=>0000000=>0000000 [5,6,7,8,2,4,3,1]=>0000000=>0000000 [3,6,1,7,8,5,2,4]=>0000000=>0000000 [2,1,6,7,8,5,3,4]=>0100000=>0000010 [7,4,5,1,2,8,3,6]=>0000000=>0000000 [6,4,5,1,2,3,8,7]=>0000010=>0100000 [5,4,6,1,2,3,8,7]=>0000010=>0100000 [4,6,5,1,2,3,8,7]=>0000010=>0100000 [5,6,4,1,2,3,8,7]=>0000010=>0100000 [7,5,4,1,2,8,3,6]=>0000000=>0000000 [8,6,4,1,7,2,3,5]=>0000000=>0000000 [2,1,7,5,3,8,4,6]=>0100000=>0000010 [2,1,8,6,7,3,4,5]=>0100000=>0000010 [5,7,6,8,1,2,3,4]=>0000000=>0000000 [6,4,7,1,8,2,3,5]=>0000000=>0000000 [8,4,6,1,7,2,3,5]=>0000000=>0000000 [8,3,1,6,7,2,4,5]=>0000000=>0000000 [4,3,1,2,7,8,5,6]=>0001000=>0001000 [7,4,8,1,6,2,3,5]=>0000000=>0000000 [4,5,8,1,2,7,3,6]=>0000000=>0000000 [5,6,8,7,1,2,3,4]=>0000000=>0000000 [8,5,7,6,1,2,3,4]=>0000000=>0000000 [3,8,1,7,6,2,4,5]=>0000000=>0000000 [6,8,7,5,1,2,3,4]=>0000000=>0000000 [6,4,7,3,8,5,1,2]=>0000000=>0000000 [5,4,2,7,6,1,3,8]=>0000001=>1000000 [5,4,2,7,6,1,8,3]=>0000000=>0000000 [5,4,3,7,6,8,1,2]=>0000000=>0000000 [5,4,3,7,8,6,1,2]=>0000000=>0000000 [5,4,3,8,6,7,1,2]=>0000000=>0000000 [5,4,3,6,8,7,1,2]=>0000000=>0000000 [5,4,2,6,7,1,8,3]=>0000000=>0000000 [5,3,2,6,1,7,4,8]=>0000001=>1000000 [5,3,2,6,1,7,8,4]=>0000000=>0000000 [5,3,2,6,1,8,7,4]=>0000000=>0000000 [5,4,2,6,8,1,7,3]=>0000000=>0000000 [6,4,8,2,5,1,7,3]=>0000000=>0000000 [5,4,2,8,6,1,3,7]=>0000000=>0000000 [5,3,2,6,1,8,4,7]=>0000000=>0000000 [6,3,8,2,1,5,4,7]=>0000000=>0000000 [7,8,3,2,1,5,4,6]=>0000000=>0000000 [7,8,3,2,1,5,6,4]=>0000000=>0000000 [6,3,8,2,1,5,7,4]=>0000000=>0000000 [5,3,2,8,1,6,7,4]=>0000000=>0000000 [5,4,2,7,8,1,6,3]=>0000000=>0000000 [5,3,2,7,1,8,6,4]=>0000000=>0000000 [5,3,2,7,1,6,4,8]=>0000001=>1000000 [6,3,7,2,1,5,4,8]=>0000001=>1000000 [6,3,7,2,1,5,8,4]=>0000000=>0000000 [6,3,7,2,1,8,5,4]=>0000000=>0000000 [6,5,7,8,2,1,4,3]=>0000000=>0000000 [6,3,7,2,1,4,8,5]=>0000000=>0000000 [5,3,2,7,1,4,8,6]=>0000000=>0000000 [5,4,2,8,7,1,3,6]=>0000000=>0000000 [7,8,4,2,6,1,3,5]=>0000000=>0000000 [7,8,3,2,1,6,4,5]=>0000000=>0000000 [6,3,8,2,1,7,4,5]=>0000000=>0000000 [5,3,2,8,1,7,4,6]=>0000000=>0000000 [4,3,2,1,8,7,5,6]=>0001000=>0001000 [4,3,2,1,7,5,8,6]=>0001000=>0001000 [4,3,2,1,7,5,6,8]=>0001001=>1001000 [5,3,2,8,1,4,7,6]=>0000000=>0000000 [6,3,8,2,1,4,7,5]=>0000000=>0000000 [7,8,3,2,1,4,6,5]=>0000000=>0000000 [4,3,2,1,8,5,6,7]=>0001000=>0001000 [7,8,5,6,1,2,4,3]=>0000000=>0000000 [7,8,4,1,6,2,5,3]=>0000000=>0000000 [1,6,8,3,2,7,5,4]=>1000000=>0000001 [6,1,8,3,2,7,5,4]=>0000000=>0000000 [7,8,1,3,2,6,5,4]=>0000000=>0000000 [7,8,3,1,2,6,5,4]=>0000000=>0000000 [7,8,2,3,1,6,5,4]=>0000000=>0000000 [7,8,2,1,3,6,5,4]=>0000000=>0000000 [7,8,1,2,3,6,5,4]=>0000000=>0000000 [1,5,2,8,3,7,6,4]=>1000000=>0000001 [5,1,2,8,3,7,6,4]=>0000000=>0000000 [5,2,1,8,3,7,6,4]=>0000000=>0000000 [6,2,8,1,3,7,5,4]=>0000000=>0000000 [6,2,8,4,7,1,5,3]=>0000000=>0000000 [6,3,8,4,7,5,1,2]=>0000000=>0000000 [2,6,8,3,1,7,5,4]=>0000000=>0000000 [2,5,1,8,3,7,6,4]=>0000000=>0000000 [1,2,5,8,3,7,6,4]=>1100000=>0000011 [2,5,3,8,1,7,6,4]=>0000000=>0000000 [2,5,4,8,7,1,6,3]=>0000000=>0000000 [3,5,4,8,7,6,1,2]=>0000000=>0000000 [5,3,4,8,7,6,1,2]=>0000000=>0000000 [5,2,4,8,7,1,6,3]=>0000000=>0000000 [5,2,3,8,1,7,6,4]=>0000000=>0000000 [4,1,2,3,8,7,6,5]=>0001000=>0001000 [1,4,2,3,8,7,6,5]=>1001000=>0001001 [4,1,3,2,8,7,6,5]=>0001000=>0001000 [6,3,8,1,2,7,5,4]=>0000000=>0000000 [5,3,1,8,2,7,6,4]=>0000000=>0000000 [5,1,3,8,2,7,6,4]=>0000000=>0000000 [1,5,3,8,2,7,6,4]=>1000000=>0000001 [1,5,4,8,7,2,6,3]=>1000000=>0000001 [5,1,4,8,7,2,6,3]=>0000000=>0000000 [5,4,1,8,7,2,6,3]=>0000000=>0000000 [6,5,8,7,1,2,4,3]=>0000000=>0000000 [5,6,8,7,3,4,1,2]=>0000000=>0000000 [5,6,8,7,2,1,4,3]=>0000000=>0000000 [4,5,1,8,7,2,6,3]=>0000000=>0000000 [4,1,5,8,7,2,6,3]=>0000000=>0000000 [1,3,5,8,2,7,6,4]=>1000000=>0000001 [3,1,5,8,2,7,6,4]=>0000000=>0000000 [3,6,8,2,1,7,5,4]=>0000000=>0000000 [4,6,8,3,7,5,1,2]=>0000000=>0000000 [4,5,3,8,7,6,1,2]=>0000000=>0000000 [3,5,2,8,1,7,6,4]=>0000000=>0000000 [3,1,4,2,8,7,6,5]=>0001000=>0001000 [3,2,5,8,1,7,6,4]=>0000000=>0000000 [4,2,5,8,7,1,6,3]=>0000000=>0000000 [4,3,5,8,7,6,1,2]=>0000000=>0000000 [2,4,5,8,7,1,6,3]=>0000000=>0000000 [2,3,5,8,1,7,6,4]=>0000000=>0000000 [5,2,7,1,4,3,8,6]=>0000000=>0000000 [6,2,8,1,4,3,7,5]=>0000000=>0000000 [6,2,7,1,4,3,8,5]=>0000000=>0000000 [6,2,7,1,5,3,8,4]=>0000000=>0000000 [7,4,8,1,3,2,6,5]=>0000000=>0000000 [8,3,7,1,4,2,6,5]=>0000000=>0000000 [6,2,7,3,8,1,5,4]=>0000000=>0000000 [6,2,8,3,7,1,5,4]=>0000000=>0000000 [5,1,8,3,7,2,6,4]=>0000000=>0000000 [4,1,8,3,7,2,6,5]=>0000000=>0000000 [3,1,7,4,8,2,6,5]=>0000000=>0000000 [5,1,7,3,8,2,6,4]=>0000000=>0000000 [7,3,8,2,6,1,5,4]=>0000000=>0000000 [3,4,2,6,8,1,5,7]=>0000000=>0000000 [5,3,6,2,8,1,4,7]=>0000000=>0000000 [7,4,2,5,8,3,6,1]=>0000000=>0000000 [4,5,2,6,3,8,1,7]=>0000000=>0000000 [3,5,6,1,4,8,2,7]=>0000000=>0000000 [4,1,5,6,3,8,2,7]=>0000000=>0000000 [4,5,1,6,3,8,2,7]=>0000000=>0000000 [4,5,6,3,2,8,1,7]=>0000000=>0000000 [6,7,4,8,3,2,5,1]=>0000000=>0000000 [6,7,4,8,3,2,1,5]=>0000000=>0000000 [6,7,4,1,8,3,2,5]=>0000000=>0000000 [5,3,7,8,1,4,2,6]=>0000000=>0000000 [7,3,5,8,1,4,6,2]=>0000000=>0000000 [4,5,1,7,8,3,6,2]=>0000000=>0000000 [7,4,1,5,8,3,6,2]=>0000000=>0000000 [6,7,4,3,8,1,5,2]=>0000000=>0000000 [5,6,1,7,3,8,4,2]=>0000000=>0000000 [5,1,6,7,3,8,4,2]=>0000000=>0000000 [6,4,7,1,8,3,5,2]=>0000000=>0000000 [6,7,8,3,1,4,5,2]=>0000000=>0000000 [6,7,2,8,4,5,1,3]=>0000000=>0000000 [6,7,2,8,4,1,3,5]=>0000000=>0000000 [6,1,7,4,8,3,2,5]=>0000000=>0000000 [5,1,6,7,3,2,8,4]=>0000000=>0000000 [5,6,1,7,3,2,8,4]=>0000000=>0000000 [5,6,7,3,2,1,8,4]=>0000000=>0000000 [5,6,7,3,2,8,4,1]=>0000000=>0000000 [7,4,2,5,1,8,3,6]=>0000000=>0000000 [6,7,4,2,8,3,5,1]=>0000000=>0000000 [3,6,7,2,8,4,5,1]=>0000000=>0000000 [3,6,7,2,8,4,1,5]=>0000000=>0000000 [3,6,7,2,1,8,4,5]=>0000000=>0000000 [3,4,7,8,2,1,5,6]=>0000000=>0000000 [3,7,8,1,4,6,2,5]=>0000000=>0000000 [3,6,7,2,8,5,1,4]=>0000000=>0000000 [3,6,7,8,5,2,1,4]=>0000000=>0000000 [3,6,7,8,5,2,4,1]=>0000000=>0000000 [6,4,7,8,2,5,3,1]=>0000000=>0000000 [6,4,7,8,2,1,5,3]=>0000000=>0000000 [5,3,7,8,1,6,2,4]=>0000000=>0000000 [6,7,2,8,5,1,3,4]=>0000000=>0000000 [6,4,1,7,8,2,5,3]=>0000000=>0000000 [5,1,6,2,7,8,4,3]=>0000000=>0000000 [5,6,2,7,1,8,4,3]=>0000000=>0000000 [5,6,2,7,8,4,3,1]=>0000000=>0000000 [5,6,7,2,8,4,3,1]=>0000000=>0000000 [5,6,7,2,1,8,4,3]=>0000000=>0000000 [5,6,1,7,2,8,4,3]=>0000000=>0000000 [5,1,6,7,2,8,4,3]=>0000000=>0000000 [6,7,8,3,5,1,4,2]=>0000000=>0000000 [5,6,1,7,8,4,3,2]=>0000000=>0000000 [5,6,7,1,8,4,3,2]=>0000000=>0000000 [8,3,2,5,1,6,4,7]=>0000000=>0000000 [5,3,2,7,4,1,8,6]=>0000000=>0000000 [7,5,3,8,2,4,6,1]=>0000000=>0000000 [8,2,4,5,6,3,1,7]=>0000000=>0000000 [8,2,4,5,6,1,3,7]=>0000000=>0000000 [8,5,3,6,4,1,2,7]=>0000000=>0000000 [8,4,1,5,6,3,2,7]=>0000000=>0000000 [8,1,4,5,6,3,2,7]=>0000000=>0000000 [4,5,3,7,2,1,8,6]=>0000000=>0000000 [7,4,5,8,3,2,6,1]=>0000000=>0000000 [4,3,6,7,2,8,5,1]=>0000000=>0000000 [4,3,6,7,2,8,1,5]=>0000000=>0000000 [1,4,3,6,7,2,8,5]=>1000000=>0000001 [4,5,3,7,1,8,2,6]=>0000000=>0000000 [5,3,4,7,1,2,8,6]=>0000000=>0000000 [7,4,5,8,3,6,1,2]=>0000000=>0000000 [4,3,6,7,8,1,5,2]=>0000000=>0000000 [3,5,6,7,8,4,1,2]=>0000000=>0000000 [3,1,5,6,7,8,4,2]=>0000000=>0000000 [4,6,1,7,8,3,5,2]=>0000000=>0000000 [6,2,4,1,7,8,5,3]=>0000000=>0000000 [2,6,7,1,4,8,3,5]=>0000000=>0000000 [1,5,3,6,7,8,2,4]=>1000000=>0000001 [4,5,2,7,8,1,3,6]=>0000000=>0000000 [4,2,6,7,8,3,1,5]=>0000000=>0000000 [4,2,6,7,8,3,5,1]=>0000000=>0000000 [3,6,2,7,4,8,1,5]=>0000000=>0000000 [3,7,4,2,1,5,8,6]=>0000000=>0000000 [7,8,4,2,1,3,6,5]=>0000000=>0000000 [6,3,2,7,1,8,5,4]=>0000000=>0000000 [3,6,2,7,1,8,5,4]=>0000000=>0000000 [6,7,3,8,2,5,4,1]=>0000000=>0000000 [6,4,7,8,5,2,3,1]=>0000000=>0000000 [2,6,4,7,8,1,5,3]=>0000000=>0000000 [7,4,1,5,8,6,2,3]=>0000000=>0000000 [7,5,8,2,1,6,3,4]=>0000000=>0000000 [6,2,7,1,3,8,5,4]=>0000000=>0000000 [6,3,1,7,8,2,5,4]=>0000000=>0000000 [4,6,1,7,8,5,2,3]=>0000000=>0000000 [5,1,2,6,7,8,4,3]=>0000000=>0000000 [5,2,6,7,8,4,3,1]=>0000000=>0000000 [1,6,4,7,8,5,2,3]=>1000000=>0000001 [2,6,7,1,3,8,5,4]=>0000000=>0000000 [6,7,3,8,5,1,4,2]=>0000000=>0000000 [6,4,7,8,5,3,1,2]=>0000000=>0000000 [3,1,2,6,5,8,7,4]=>0010000=>0000100 [4,5,1,2,3,8,7,6]=>0000100=>0010000 [4,6,1,2,3,8,7,5]=>0000000=>0000000 [1,6,5,3,4,8,7,2]=>1000000=>0000001 [6,1,5,2,4,8,7,3]=>0000000=>0000000 [6,5,1,2,3,8,7,4]=>0000000=>0000000 [6,4,1,2,3,8,7,5]=>0000000=>0000000 [5,4,1,2,3,8,7,6]=>0000100=>0010000 [5,4,1,2,7,3,6,8]=>0000001=>1000000 [6,4,1,7,2,3,5,8]=>0000001=>1000000 [6,4,1,8,2,3,5,7]=>0000000=>0000000 [7,4,1,2,8,3,6,5]=>0000000=>0000000 [7,5,1,2,8,3,6,4]=>0000000=>0000000 [7,1,5,2,8,4,6,3]=>0000000=>0000000 [1,7,5,3,8,4,6,2]=>1000000=>0000001 [8,4,1,2,7,3,6,5]=>0000000=>0000000 [8,4,1,7,2,3,5,6]=>0000000=>0000000 [7,4,1,6,2,3,5,8]=>0000001=>1000000 [8,6,1,7,2,3,5,4]=>0000000=>0000000 [8,1,6,7,2,4,5,3]=>0000000=>0000000 [1,7,6,8,3,4,5,2]=>1000000=>0000001 [7,6,1,8,2,3,5,4]=>0000000=>0000000 [3,1,2,7,8,5,6,4]=>0010000=>0000100 [3,1,8,7,2,4,5,6]=>0000000=>0000000 [3,1,7,6,2,4,5,8]=>0000001=>1000000 [4,7,1,6,2,3,5,8]=>0000001=>1000000 [4,8,1,6,2,3,5,7]=>0000000=>0000000 [5,8,1,2,7,3,6,4]=>0000000=>0000000 [5,1,8,2,7,4,6,3]=>0000000=>0000000 [1,5,8,3,7,4,6,2]=>1000000=>0000001 [1,6,8,7,3,4,5,2]=>1000000=>0000001 [6,1,8,7,2,4,5,3]=>0000000=>0000000 [6,8,1,7,2,3,5,4]=>0000000=>0000000 [6,8,7,1,2,3,4,5]=>0000000=>0000000 [5,8,6,1,2,3,4,7]=>0000000=>0000000 [5,7,6,1,2,3,4,8]=>0000001=>1000000 [7,8,1,6,2,3,5,4]=>0000000=>0000000 [7,1,8,6,2,4,5,3]=>0000000=>0000000 [1,7,8,6,3,4,5,2]=>1000000=>0000001 [8,1,7,6,2,4,5,3]=>0000000=>0000000 [8,7,1,6,2,3,5,4]=>0000000=>0000000 [8,5,3,7,2,1,4,6]=>0000000=>0000000 [3,1,6,4,5,2,8,7]=>0000010=>0100000 [5,8,7,4,2,6,3,1]=>0000000=>0000000 [3,7,8,4,5,1,2,6]=>0000000=>0000000 [5,6,3,8,1,7,2,4]=>0000000=>0000000 [7,6,1,4,5,8,3,2]=>0000000=>0000000 [3,7,6,4,5,8,2,1]=>0000000=>0000000 [8,5,7,4,1,6,3,2]=>0000000=>0000000 [2,5,8,4,7,6,1,3]=>0000000=>0000000 [3,8,4,2,5,6,7,1]=>0000000=>0000000 [7,5,8,4,3,6,1,2]=>0000000=>0000000 [7,3,8,4,2,6,1,5]=>0000000=>0000000 [5,6,3,8,4,2,7,1]=>0000000=>0000000 [8,6,3,5,1,2,7,4]=>0000000=>0000000 [7,8,5,4,2,6,1,3]=>0000000=>0000000 [4,8,1,2,5,6,7,3]=>0000000=>0000000 [3,4,2,8,5,6,7,1]=>0000000=>0000000 [8,4,2,1,5,6,7,3]=>0000000=>0000000 [3,8,7,4,5,2,1,6]=>0000000=>0000000 [4,6,3,5,8,2,7,1]=>0000000=>0000000 [5,4,2,3,7,6,1,8]=>0000001=>1000000 [3,2,7,6,4,5,1,8]=>0000001=>1000000 [4,7,2,6,3,5,1,8]=>0000001=>1000000 [5,7,6,2,3,4,1,8]=>0000001=>1000000 [1,7,5,2,8,3,4,6]=>1000000=>0000001 [6,8,5,2,3,1,4,7]=>0000000=>0000000 [4,8,2,6,3,1,5,7]=>0000000=>0000000 [3,2,8,6,4,1,5,7]=>0000000=>0000000 [7,1,5,2,8,3,4,6]=>0000000=>0000000 [1,8,5,2,7,3,4,6]=>1000000=>0000001 [7,1,6,8,2,3,4,5]=>0000000=>0000000 [3,2,1,7,8,4,5,6]=>0010000=>0000100 [3,2,8,7,1,4,5,6]=>0000000=>0000000 [5,8,7,2,1,3,4,6]=>0000000=>0000000 [1,7,6,8,2,3,4,5]=>1000000=>0000001 [6,5,8,2,3,1,4,7]=>0000000=>0000000 [8,5,7,2,1,3,4,6]=>0000000=>0000000 [3,2,5,4,1,8,6,7]=>0000100=>0010000 [7,4,2,1,8,3,5,6]=>0000000=>0000000 [8,4,2,1,7,3,5,6]=>0000000=>0000000 [1,4,2,8,7,3,5,6]=>1000000=>0000001 [1,5,8,2,7,3,4,6]=>1000000=>0000001 [8,5,1,2,7,3,4,6]=>0000000=>0000000 [3,2,6,1,4,8,5,7]=>0000000=>0000000 [3,2,7,1,8,4,5,6]=>0000000=>0000000 [4,7,2,1,8,3,5,6]=>0000000=>0000000 [8,6,1,7,2,3,4,5]=>0000000=>0000000 [1,6,8,7,2,3,4,5]=>1000000=>0000001 [1,7,8,6,2,3,4,5]=>1000000=>0000001 [7,8,1,6,2,3,4,5]=>0000000=>0000000 [4,8,2,1,7,3,5,6]=>0000000=>0000000 [3,2,8,1,7,4,5,6]=>0000000=>0000000 [5,1,8,2,7,3,4,6]=>0000000=>0000000 [6,1,8,7,2,3,4,5]=>0000000=>0000000 [8,1,7,6,2,3,4,5]=>0000000=>0000000 [2,8,4,1,6,5,7,3]=>0000000=>0000000 [7,5,8,6,1,4,2,3]=>0000000=>0000000 [7,5,8,2,4,6,3,1]=>0000000=>0000000 [7,5,8,6,1,4,3,2]=>0000000=>0000000 [3,5,7,2,4,1,8,6]=>0000000=>0000000 [6,5,2,7,3,4,8,1]=>0000000=>0000000 [5,1,6,7,4,3,8,2]=>0000000=>0000000 [4,1,2,3,8,6,5,7]=>0001000=>0001000 [4,1,2,3,8,6,7,5]=>0001000=>0001000 [4,1,2,3,8,5,7,6]=>0001000=>0001000 [4,5,2,6,3,7,1,8]=>0000001=>1000000 [4,1,2,6,8,5,7,3]=>0000000=>0000000 [6,4,2,7,1,3,8,5]=>0000000=>0000000 [8,5,3,6,1,7,2,4]=>0000000=>0000000 [7,3,6,2,4,8,1,5]=>0000000=>0000000 [3,7,5,1,2,4,8,6]=>0000000=>0000000 [7,4,8,5,2,6,1,3]=>0000000=>0000000 [5,8,2,6,3,7,1,4]=>0000000=>0000000 [3,8,6,2,4,7,1,5]=>0000000=>0000000 [4,8,6,2,7,1,3,5]=>0000000=>0000000 [5,4,7,3,8,1,2,6]=>0000000=>0000000 [8,4,1,6,7,2,3,5]=>0000000=>0000000 [4,7,1,5,8,6,2,3]=>0000000=>0000000 [8,6,1,7,5,2,3,4]=>0000000=>0000000 [5,7,2,8,1,6,3,4]=>0000000=>0000000 [8,3,7,6,1,2,4,5]=>0000000=>0000000 [8,4,7,6,1,2,3,5]=>0000000=>0000000 [3,5,8,7,1,2,4,6]=>0000000=>0000000 [2,5,8,7,1,3,4,6]=>0000000=>0000000 [6,8,4,7,5,1,2,3]=>0000000=>0000000 [5,8,7,1,6,2,3,4]=>0000000=>0000000 [2,8,7,6,1,3,4,5]=>0000000=>0000000 [3,8,7,6,1,2,4,5]=>0000000=>0000000 [4,8,7,6,1,2,3,5]=>0000000=>0000000 [3,8,7,4,5,1,6,2]=>0000000=>0000000 [5,7,3,8,1,2,6,4]=>0000000=>0000000 [7,5,1,4,8,6,3,2]=>0000000=>0000000 [5,3,2,7,4,6,8,1]=>0000000=>0000000 [7,5,3,6,2,4,8,1]=>0000000=>0000000 [6,3,2,5,1,8,4,7]=>0000000=>0000000 [8,5,3,6,2,7,1,4]=>0000000=>0000000 [7,2,6,3,4,5,8,1]=>0000000=>0000000 [6,2,7,3,4,5,8,1]=>0000000=>0000000 [6,7,3,5,2,4,8,1]=>0000000=>0000000 [3,7,6,2,4,5,8,1]=>0000000=>0000000 [6,5,3,1,2,8,4,7]=>0000000=>0000000 [8,6,5,2,3,7,1,4]=>0000000=>0000000 [8,5,2,1,7,3,4,6]=>0000000=>0000000 [7,5,2,1,8,3,4,6]=>0000000=>0000000 [1,6,3,2,8,4,5,7]=>1000000=>0000001 [5,4,8,6,2,7,1,3]=>0000000=>0000000 [7,8,5,2,3,6,1,4]=>0000000=>0000000 [2,8,1,7,3,4,5,6]=>0000000=>0000000 [3,8,6,1,7,2,4,5]=>0000000=>0000000 [4,2,8,3,7,1,5,6]=>0000000=>0000000 [8,1,2,7,3,4,5,6]=>0000000=>0000000 [7,2,6,1,8,3,4,5]=>0000000=>0000000 [7,3,1,5,8,2,4,6]=>0000000=>0000000 [5,4,1,3,6,8,2,7]=>0000000=>0000000 [8,5,3,7,6,1,2,4]=>0000000=>0000000 [6,1,8,3,7,2,4,5]=>0000000=>0000000 [7,6,8,2,3,5,1,4]=>0000000=>0000000 [3,7,8,2,4,6,1,5]=>0000000=>0000000 [5,4,7,8,2,6,1,3]=>0000000=>0000000 [4,2,5,8,7,1,3,6]=>0000000=>0000000 [2,3,8,7,1,4,5,6]=>0000000=>0000000 [2,1,8,7,3,4,5,6]=>0100000=>0000010 [8,2,7,6,1,3,4,5]=>0000000=>0000000 [1,2,8,7,3,4,5,6]=>1100000=>0000011 [1,3,8,7,2,4,5,6]=>1000000=>0000001 [1,7,8,3,6,2,4,5]=>1000000=>0000001 [5,4,8,7,6,1,2,3]=>0000000=>0000000 [6,8,3,7,5,1,2,4]=>0000000=>0000000 [7,8,6,2,5,1,3,4]=>0000000=>0000000 [8,1,6,7,3,2,4,5]=>0000000=>0000000 [8,1,5,3,7,2,4,6]=>0000000=>0000000 [8,1,5,3,6,2,4,7]=>0000000=>0000000 [7,4,8,3,2,6,5,1]=>0000000=>0000000 [7,4,1,3,2,6,5,8]=>0000001=>1000000 [8,1,4,3,2,6,5,7]=>0000000=>0000000 [8,1,4,3,2,7,5,6]=>0000000=>0000000 [8,1,5,4,6,7,2,3]=>0000000=>0000000 [8,1,5,3,6,2,7,4]=>0000000=>0000000 [8,1,4,3,2,6,7,5]=>0000000=>0000000 [8,1,4,3,2,5,7,6]=>0000000=>0000000 [7,4,1,3,2,5,6,8]=>0000001=>1000000 [7,4,8,3,2,5,6,1]=>0000000=>0000000 [6,4,3,1,2,5,8,7]=>0000010=>0100000 [7,4,1,3,2,5,8,6]=>0000000=>0000000 [7,5,1,3,6,2,8,4]=>0000000=>0000000 [7,5,1,4,6,8,2,3]=>0000000=>0000000 [6,4,3,8,2,5,1,7]=>0000000=>0000000 [5,4,3,2,8,6,1,7]=>0000000=>0000000 [5,4,3,2,8,7,1,6]=>0000000=>0000000 [6,5,4,8,7,1,2,3]=>0000000=>0000000 [6,5,4,1,7,8,2,3]=>0000000=>0000000 [6,4,3,1,2,7,8,5]=>0000000=>0000000 [7,4,1,3,2,8,5,6]=>0000000=>0000000 [6,4,3,1,2,7,5,8]=>0000001=>1000000 [6,4,3,8,2,7,5,1]=>0000000=>0000000 [6,5,3,8,7,2,4,1]=>0000000=>0000000 [6,5,3,1,7,2,4,8]=>0000001=>1000000 [7,5,1,3,8,2,4,6]=>0000000=>0000000 [6,5,3,7,8,2,4,1]=>0000000=>0000000 [6,4,3,7,2,8,5,1]=>0000000=>0000000 [6,4,3,7,2,1,5,8]=>0000001=>1000000 [7,5,8,4,1,6,2,3]=>0000000=>0000000 [6,5,4,8,1,7,2,3]=>0000000=>0000000 [6,5,3,8,1,2,7,4]=>0000000=>0000000 [6,5,4,7,1,8,2,3]=>0000000=>0000000 [5,4,3,2,7,8,1,6]=>0000000=>0000000 [4,6,3,8,5,1,2,7]=>0000000=>0000000 [5,6,8,3,4,1,2,7]=>0000000=>0000000 [5,6,8,3,4,1,7,2]=>0000000=>0000000 [4,6,2,7,5,3,1,8]=>0000001=>1000000 [5,6,8,4,3,1,2,7]=>0000000=>0000000 [5,7,8,4,1,3,6,2]=>0000000=>0000000 [5,6,8,4,2,1,7,3]=>0000000=>0000000 [5,6,8,2,4,1,7,3]=>0000000=>0000000 [3,2,6,8,5,1,4,7]=>0000000=>0000000 [5,6,8,4,2,1,3,7]=>0000000=>0000000 [5,7,8,4,1,3,2,6]=>0000000=>0000000 [5,7,8,4,1,2,3,6]=>0000000=>0000000 [6,7,8,1,5,2,3,4]=>0000000=>0000000 [6,7,8,1,5,3,2,4]=>0000000=>0000000 [6,7,8,1,3,5,2,4]=>0000000=>0000000 [5,7,8,2,1,6,3,4]=>0000000=>0000000 [4,7,2,8,1,6,3,5]=>0000000=>0000000 [3,2,7,8,1,6,4,5]=>0000000=>0000000 [4,7,2,8,1,6,5,3]=>0000000=>0000000 [5,7,8,2,1,6,4,3]=>0000000=>0000000 [6,7,8,1,3,5,4,2]=>0000000=>0000000 [6,7,8,1,5,3,4,2]=>0000000=>0000000 [6,7,8,1,4,3,5,2]=>0000000=>0000000 [5,6,8,3,2,1,7,4]=>0000000=>0000000 [4,7,3,8,1,6,2,5]=>0000000=>0000000 [4,7,3,8,1,5,6,2]=>0000000=>0000000 [4,7,3,8,1,5,2,6]=>0000000=>0000000 [4,7,3,8,1,2,5,6]=>0000000=>0000000 [5,7,8,3,1,2,4,6]=>0000000=>0000000 [5,6,8,3,2,1,4,7]=>0000000=>0000000 [3,2,7,8,1,5,4,6]=>0000000=>0000000 [6,7,8,1,3,4,2,5]=>0000000=>0000000 [6,7,8,1,4,2,3,5]=>0000000=>0000000 [6,7,8,1,2,5,3,4]=>0000000=>0000000 [6,7,8,1,2,4,5,3]=>0000000=>0000000 [5,7,8,2,1,3,6,4]=>0000000=>0000000 [3,2,7,8,1,4,6,5]=>0000000=>0000000 [6,7,8,1,3,2,4,5]=>0000000=>0000000 [6,7,8,1,2,4,3,5]=>0000000=>0000000 [6,7,8,1,2,3,5,4]=>0000000=>0000000 [4,6,2,1,7,5,8,3]=>0000000=>0000000 [6,7,5,1,8,4,3,2]=>0000000=>0000000 [6,8,4,1,7,5,3,2]=>0000000=>0000000 [4,6,1,2,7,5,8,3]=>0000000=>0000000 [6,7,1,5,8,2,3,4]=>0000000=>0000000 [8,4,1,6,7,5,2,3]=>0000000=>0000000 [7,6,2,1,5,8,3,4]=>0000000=>0000000 [6,1,4,2,7,5,8,3]=>0000000=>0000000 [2,5,1,3,7,6,8,4]=>0000000=>0000000 [4,7,1,2,8,6,5,3]=>0000000=>0000000 [4,6,8,1,2,7,5,3]=>0000000=>0000000 [6,8,7,1,5,3,2,4]=>0000000=>0000000 [6,8,7,3,5,1,2,4]=>0000000=>0000000 [7,8,1,3,6,5,2,4]=>0000000=>0000000 [1,7,3,4,8,6,5,2]=>1000000=>0000001 [4,2,7,1,8,6,5,3]=>0000000=>0000000 [7,8,2,3,6,5,1,4]=>0000000=>0000000 [8,5,7,1,6,2,3,4]=>0000000=>0000000 [8,5,7,1,2,6,3,4]=>0000000=>0000000 [6,8,2,7,1,3,5,4]=>0000000=>0000000 [6,2,4,8,7,1,5,3]=>0000000=>0000000 [1,6,8,3,7,4,5,2]=>1000000=>0000001 [1,6,8,3,4,7,5,2]=>1000000=>0000001 [6,2,4,8,1,7,5,3]=>0000000=>0000000 [6,8,7,2,3,5,1,4]=>0000000=>0000000 [6,8,2,1,7,3,5,4]=>0000000=>0000000 [8,5,7,2,1,6,3,4]=>0000000=>0000000 [8,5,7,1,2,3,6,4]=>0000000=>0000000 [8,5,7,2,3,1,6,4]=>0000000=>0000000 [1,8,7,5,3,4,6,2]=>1000000=>0000001 [1,8,7,3,5,4,6,2]=>1000000=>0000001 [8,2,5,4,7,1,6,3]=>0000000=>0000000 [8,7,6,1,2,4,3,5]=>0000000=>0000000 [8,7,6,1,4,2,3,5]=>0000000=>0000000 [8,7,6,4,1,3,2,5]=>0000000=>0000000 [8,5,7,1,3,2,6,4]=>0000000=>0000000 [5,8,4,7,1,2,6,3]=>0000000=>0000000 [8,1,2,6,5,7,4,3]=>0000000=>0000000 [8,2,5,6,7,4,1,3]=>0000000=>0000000 [4,8,5,1,7,2,6,3]=>0000000=>0000000 [8,5,3,7,1,2,6,4]=>0000000=>0000000 [4,6,2,8,1,7,5,3]=>0000000=>0000000 [1,6,4,8,3,7,5,2]=>1000000=>0000001 [1,8,7,4,5,3,6,2]=>1000000=>0000001 [4,8,5,7,2,1,6,3]=>0000000=>0000000 [8,5,3,7,2,1,6,4]=>0000000=>0000000 [8,7,6,3,1,4,2,5]=>0000000=>0000000 [8,5,3,2,7,1,6,4]=>0000000=>0000000 [1,8,7,4,3,5,6,2]=>1000000=>0000001 [1,8,7,3,4,5,6,2]=>1000000=>0000001 [8,2,4,5,7,1,6,3]=>0000000=>0000000 [8,5,2,3,7,1,6,4]=>0000000=>0000000 [8,3,1,5,2,7,6,4]=>0000000=>0000000 [8,7,4,1,6,3,2,5]=>0000000=>0000000 [8,7,4,1,6,3,5,2]=>0000000=>0000000 [8,7,4,1,6,5,3,2]=>0000000=>0000000 [8,7,4,1,6,5,2,3]=>0000000=>0000000 [8,3,2,7,6,4,5,1]=>0000000=>0000000 [8,5,4,2,3,7,6,1]=>0000000=>0000000 [8,7,4,2,6,3,5,1]=>0000000=>0000000 [8,7,4,2,6,3,1,5]=>0000000=>0000000 [8,3,2,5,4,7,1,6]=>0000000=>0000000 [8,3,2,7,6,1,5,4]=>0000000=>0000000 [7,4,5,2,3,1,8,6]=>0000000=>0000000 [5,2,7,3,4,1,8,6]=>0000000=>0000000 [6,2,7,3,4,1,8,5]=>0000000=>0000000 [3,1,8,6,7,4,5,2]=>0000000=>0000000 [8,5,7,3,4,1,6,2]=>0000000=>0000000 [8,4,7,3,5,1,6,2]=>0000000=>0000000 [2,1,8,5,7,4,6,3]=>0100000=>0000010 [6,2,4,1,7,3,8,5]=>0000000=>0000000 [8,5,6,2,3,1,7,4]=>0000000=>0000000 [7,3,8,5,6,2,4,1]=>0000000=>0000000 [3,1,6,2,8,5,7,4]=>0000000=>0000000 [5,1,6,2,8,4,7,3]=>0000000=>0000000 [7,3,8,4,6,2,5,1]=>0000000=>0000000 [4,1,8,5,6,2,7,3]=>0000000=>0000000 [3,1,8,5,6,2,7,4]=>0000000=>0000000 [6,8,7,3,4,1,2,5]=>0000000=>0000000 [5,4,8,7,2,6,3,1]=>0000000=>0000000 [5,3,8,7,6,1,2,4]=>0000000=>0000000 [8,3,4,6,5,1,2,7]=>0000000=>0000000 [3,4,8,7,6,1,2,5]=>0000000=>0000000 [3,5,8,7,6,1,2,4]=>0000000=>0000000 [4,5,8,7,6,1,2,3]=>0000000=>0000000 [4,5,8,7,1,6,3,2]=>0000000=>0000000 [3,5,8,2,7,6,4,1]=>0000000=>0000000 [3,5,8,1,7,6,4,2]=>0000000=>0000000 [2,5,8,7,1,6,3,4]=>0000000=>0000000 [2,4,8,7,1,6,3,5]=>0000000=>0000000 [2,8,4,7,1,5,3,6]=>0000000=>0000000 [8,2,4,6,1,5,3,7]=>0000000=>0000000 [8,1,4,6,2,5,3,7]=>0000000=>0000000 [1,4,8,7,2,6,3,5]=>1000000=>0000001 [1,5,8,7,2,6,3,4]=>1000000=>0000001 [1,5,8,2,7,6,4,3]=>1000000=>0000001 [2,5,8,3,7,6,4,1]=>0000000=>0000000 [1,4,2,8,7,6,5,3]=>1000000=>0000001 [1,3,8,2,7,6,4,5]=>1000000=>0000001 [1,8,3,2,7,5,4,6]=>1000000=>0000001 [8,2,3,1,6,5,4,7]=>0000000=>0000000 [2,3,8,1,7,6,4,5]=>0000000=>0000000 [5,2,8,7,1,6,3,4]=>0000000=>0000000 [5,2,8,1,7,6,4,3]=>0000000=>0000000 [5,3,8,2,7,6,4,1]=>0000000=>0000000 [6,8,3,2,7,5,4,1]=>0000000=>0000000 [6,8,3,1,7,5,4,2]=>0000000=>0000000 [6,8,1,2,7,5,4,3]=>0000000=>0000000 [6,8,2,3,7,5,4,1]=>0000000=>0000000 [5,2,8,3,7,6,4,1]=>0000000=>0000000 [5,1,8,3,7,6,4,2]=>0000000=>0000000 [5,1,8,7,2,6,3,4]=>0000000=>0000000 [4,8,1,7,2,5,3,6]=>0000000=>0000000 [8,4,1,6,2,5,3,7]=>0000000=>0000000 [8,3,1,2,6,5,4,7]=>0000000=>0000000 [3,1,2,8,7,6,5,4]=>0010000=>0000100 [4,1,3,8,7,6,5,2]=>0000000=>0000000 [3,1,4,8,7,6,5,2]=>0000000=>0000000 [2,1,8,3,7,6,4,5]=>0100000=>0000010 [2,8,1,3,7,5,4,6]=>0000000=>0000000 [8,2,1,3,6,5,4,7]=>0000000=>0000000 [1,8,2,3,7,5,4,6]=>1000000=>0000001 [1,2,8,3,7,6,4,5]=>1100000=>0000011 [1,4,3,6,8,2,5,7]=>1000000=>0000001 [1,4,5,2,8,3,7,6]=>1000000=>0000001 [1,4,2,6,5,8,3,7]=>1000000=>0000001 [1,5,4,2,6,8,3,7]=>1000000=>0000001 [3,1,6,5,8,2,4,7]=>0000000=>0000000 [1,6,4,2,5,8,3,7]=>1000000=>0000001 [1,5,2,6,4,8,3,7]=>1000000=>0000001 [1,2,6,5,4,8,3,7]=>1100000=>0000011 [1,2,5,4,7,3,8,6]=>1100000=>0000011 [4,1,2,6,3,8,7,5]=>0000000=>0000000 [7,1,5,4,2,8,3,6]=>0000000=>0000000 [1,4,7,5,2,8,3,6]=>1000000=>0000001 [7,1,3,5,2,8,4,6]=>0000000=>0000000 [1,4,5,2,8,7,3,6]=>1000000=>0000001 [1,6,4,2,8,3,7,5]=>1000000=>0000001 [1,4,2,8,3,7,6,5]=>1000000=>0000001 [1,2,8,6,5,3,7,4]=>1100000=>0000011 [6,2,1,8,7,3,4,5]=>0000000=>0000000 [7,6,2,1,8,3,4,5]=>0000000=>0000000 [7,3,1,6,2,8,4,5]=>0000000=>0000000 [1,7,6,4,2,8,3,5]=>1000000=>0000001 [1,7,5,2,6,3,8,4]=>1000000=>0000001 [1,6,2,7,5,3,8,4]=>1000000=>0000001 [1,2,7,6,5,3,8,4]=>1100000=>0000011 [1,2,6,5,3,8,7,4]=>1100000=>0000011 [1,5,2,7,6,3,8,4]=>1000000=>0000001 [1,6,5,2,7,3,8,4]=>1000000=>0000001 [1,5,7,4,2,8,3,6]=>1000000=>0000001 [3,1,8,6,2,4,7,5]=>0000000=>0000000 [4,3,7,1,8,2,5,6]=>0000000=>0000000 [8,3,1,6,2,4,7,5]=>0000000=>0000000 [7,1,8,3,2,4,6,5]=>0000000=>0000000 [1,4,2,8,7,3,6,5]=>1000000=>0000001 [1,7,4,2,8,3,6,5]=>1000000=>0000001 [8,1,5,4,2,7,3,6]=>0000000=>0000000 [1,4,8,5,2,7,3,6]=>1000000=>0000001 [8,5,3,1,7,2,4,6]=>0000000=>0000000 [8,6,2,1,7,3,4,5]=>0000000=>0000000 [1,8,6,4,2,7,3,5]=>1000000=>0000001 [1,5,2,7,3,8,6,4]=>1000000=>0000001 [1,2,8,5,3,7,6,4]=>1100000=>0000011 [1,2,6,3,8,7,5,4]=>1100000=>0000011 [1,2,7,6,3,8,5,4]=>1100000=>0000011 [1,6,2,7,3,8,5,4]=>1000000=>0000001 [1,7,4,2,8,6,3,5]=>1000000=>0000001 [7,1,8,3,2,6,4,5]=>0000000=>0000000 [7,2,1,8,6,3,4,5]=>0000000=>0000000 [1,8,7,3,2,6,4,5]=>1000000=>0000001 [1,4,2,8,7,6,3,5]=>1000000=>0000001 [1,2,8,7,5,3,6,4]=>1100000=>0000011 [5,7,1,6,2,4,3,8]=>0000001=>1000000 [6,1,4,5,3,8,7,2]=>0000000=>0000000 [6,3,5,8,2,1,7,4]=>0000000=>0000000 [8,4,5,7,3,6,1,2]=>0000000=>0000000 [8,4,1,5,2,6,3,7]=>0000000=>0000000 [8,7,5,6,1,4,2,3]=>0000000=>0000000 [2,3,8,1,6,4,7,5]=>0000000=>0000000 [5,2,6,1,4,8,7,3]=>0000000=>0000000 [5,7,2,3,8,6,1,4]=>0000000=>0000000 [5,6,2,3,1,8,7,4]=>0000000=>0000000 [5,6,2,1,3,8,7,4]=>0000000=>0000000 [5,1,6,4,2,8,7,3]=>0000000=>0000000 [5,6,1,3,2,8,7,4]=>0000000=>0000000 [5,6,3,1,2,8,7,4]=>0000000=>0000000 [5,7,3,2,8,1,6,4]=>0000000=>0000000 [6,7,3,8,2,1,5,4]=>0000000=>0000000 [6,7,3,8,1,2,5,4]=>0000000=>0000000 [5,7,3,1,8,2,6,4]=>0000000=>0000000 [5,1,7,4,8,2,6,3]=>0000000=>0000000 [1,5,7,4,8,3,6,2]=>1000000=>0000001 [5,1,7,4,8,6,2,3]=>0000000=>0000000 [5,7,3,1,8,6,2,4]=>0000000=>0000000 [6,7,8,3,1,4,2,5]=>0000000=>0000000 [6,7,1,8,3,5,2,4]=>0000000=>0000000 [6,1,7,8,4,5,2,3]=>0000000=>0000000 [1,6,7,8,4,5,3,2]=>1000000=>0000001 [1,6,7,8,4,3,5,2]=>1000000=>0000001 [6,1,7,8,4,2,5,3]=>0000000=>0000000 [6,7,2,8,1,3,5,4]=>0000000=>0000000 [6,7,2,8,3,5,1,4]=>0000000=>0000000 [6,2,7,8,4,1,5,3]=>0000000=>0000000 [6,2,7,8,1,4,5,3]=>0000000=>0000000 [4,2,1,7,8,5,6,3]=>0000000=>0000000 [4,1,2,7,8,6,5,3]=>0000000=>0000000 [6,2,7,8,1,5,4,3]=>0000000=>0000000 [6,2,7,8,5,1,4,3]=>0000000=>0000000 [5,7,2,1,8,6,3,4]=>0000000=>0000000 [1,6,7,8,3,5,4,2]=>1000000=>0000001 [6,1,7,8,2,5,4,3]=>0000000=>0000000 [6,7,8,2,4,1,3,5]=>0000000=>0000000 [6,7,8,2,4,3,1,5]=>0000000=>0000000 [6,7,1,8,5,2,3,4]=>0000000=>0000000 [6,1,7,8,5,2,4,3]=>0000000=>0000000 [1,6,7,8,5,3,4,2]=>1000000=>0000001 [6,1,7,8,5,4,2,3]=>0000000=>0000000 [6,7,1,8,5,3,2,4]=>0000000=>0000000 [6,7,8,4,1,3,2,5]=>0000000=>0000000 [3,7,4,8,5,6,1,2]=>0000000=>0000000 [3,7,1,8,5,6,2,4]=>0000000=>0000000 [2,7,3,8,5,6,1,4]=>0000000=>0000000 [1,7,4,8,5,6,2,3]=>1000000=>0000001 [2,7,3,8,4,6,1,5]=>0000000=>0000000 [3,7,1,8,4,6,2,5]=>0000000=>0000000 [1,5,2,8,6,7,3,4]=>1000000=>0000001 [2,6,1,8,5,7,3,4]=>0000000=>0000000 [1,6,2,8,5,7,3,4]=>1000000=>0000001 [1,6,2,8,4,7,3,5]=>1000000=>0000001 [2,6,1,8,4,7,3,5]=>0000000=>0000000 [3,7,2,6,1,8,4,5]=>0000000=>0000000 [4,8,1,6,2,7,3,5]=>0000000=>0000000 [5,8,1,6,2,7,3,4]=>0000000=>0000000 [5,8,2,6,1,7,3,4]=>0000000=>0000000 [4,8,2,6,1,7,3,5]=>0000000=>0000000 [1,7,3,6,2,8,4,5]=>1000000=>0000001 [2,7,3,6,1,8,4,5]=>0000000=>0000000 [8,6,1,4,3,2,5,7]=>0000000=>0000000 [3,7,5,1,8,2,4,6]=>0000000=>0000000 [4,1,5,2,8,7,3,6]=>0000000=>0000000 [8,1,2,4,6,5,3,7]=>0000000=>0000000 [8,2,6,5,1,3,4,7]=>0000000=>0000000 [8,3,1,6,2,5,4,7]=>0000000=>0000000 [8,1,2,6,4,5,3,7]=>0000000=>0000000 [8,1,2,5,6,4,3,7]=>0000000=>0000000 [1,7,5,4,2,8,3,6]=>1000000=>0000001 [1,4,6,8,2,7,3,5]=>1000000=>0000001 [1,4,7,6,2,8,3,5]=>1000000=>0000001 [5,1,4,7,2,8,3,6]=>0000000=>0000000 [3,7,5,1,2,8,4,6]=>0000000=>0000000 [4,1,5,8,2,7,3,6]=>0000000=>0000000 [1,4,6,2,8,7,3,5]=>1000000=>0000001 [1,4,2,8,6,7,3,5]=>1000000=>0000001 [3,1,2,6,4,8,7,5]=>0010000=>0000100 [2,1,7,6,3,4,8,5]=>0100000=>0000010 [3,1,2,7,4,6,8,5]=>0010000=>0000100 [1,2,3,6,8,5,7,4]=>1110000=>0000111 [5,1,4,2,7,8,3,6]=>0000000=>0000000 [1,4,2,7,6,8,3,5]=>1000000=>0000001 [1,4,2,6,8,7,3,5]=>1000000=>0000001 [5,3,7,1,8,2,4,6]=>0000000=>0000000 [1,7,4,3,2,5,8,6]=>1000000=>0000001 [4,8,7,2,1,3,5,6]=>0000000=>0000000 [1,8,7,3,4,2,5,6]=>1000000=>0000001 [3,1,7,8,2,6,4,5]=>0000000=>0000000 [1,4,2,7,8,3,6,5]=>1000000=>0000001 [2,1,8,6,3,4,7,5]=>0100000=>0000010 [1,4,2,6,8,3,7,5]=>1000000=>0000001 [1,2,3,7,8,5,6,4]=>1110000=>0000111 [1,2,3,7,5,8,6,4]=>1110000=>0000111 [3,1,7,2,8,6,4,5]=>0000000=>0000000 [1,2,3,8,7,5,6,4]=>1110000=>0000111 [5,7,8,4,2,6,1,3]=>0000000=>0000000 [6,7,8,4,2,5,1,3]=>0000000=>0000000 [8,6,3,7,2,1,5,4]=>0000000=>0000000 [6,7,8,3,2,1,5,4]=>0000000=>0000000 [5,7,8,3,2,1,6,4]=>0000000=>0000000 [2,7,8,4,3,5,6,1]=>0000000=>0000000 [3,7,8,4,2,5,1,6]=>0000000=>0000000 [7,6,3,8,2,1,4,5]=>0000000=>0000000 [8,6,3,7,2,1,4,5]=>0000000=>0000000 [5,6,3,8,2,1,4,7]=>0000000=>0000000 [3,6,4,8,2,5,1,7]=>0000000=>0000000 [2,6,4,8,3,5,7,1]=>0000000=>0000000 [2,6,4,7,3,5,8,1]=>0000000=>0000000 [4,6,3,7,2,1,5,8]=>0000001=>1000000 [5,6,3,7,2,1,4,8]=>0000001=>1000000 [8,4,3,2,1,6,5,7]=>0000000=>0000000 [6,4,3,2,1,7,5,8]=>0000001=>1000000 [4,5,3,2,7,1,6,8]=>0000001=>1000000 [7,4,3,2,1,8,5,6]=>0000000=>0000000 [8,4,3,2,1,7,5,6]=>0000000=>0000000 [7,4,3,2,1,8,6,5]=>0000000=>0000000 [5,6,3,8,2,1,7,4]=>0000000=>0000000 [7,5,3,2,8,1,6,4]=>0000000=>0000000 [8,5,4,2,7,6,1,3]=>0000000=>0000000 [7,5,4,2,8,6,1,3]=>0000000=>0000000 [6,5,4,2,7,8,1,3]=>0000000=>0000000 [8,5,4,2,6,7,1,3]=>0000000=>0000000 [5,6,3,7,2,1,8,4]=>0000000=>0000000 [4,6,3,7,2,1,8,5]=>0000000=>0000000 [3,6,4,7,2,8,1,5]=>0000000=>0000000 [2,6,4,7,3,8,5,1]=>0000000=>0000000 [3,5,4,2,7,8,1,6]=>0000000=>0000000 [7,4,3,2,1,6,8,5]=>0000000=>0000000 [8,4,3,2,1,6,7,5]=>0000000=>0000000 [8,4,3,2,1,5,7,6]=>0000000=>0000000 [7,4,3,2,1,5,8,6]=>0000000=>0000000 [6,4,3,2,1,5,8,7]=>0000010=>0100000 [3,5,4,2,6,8,1,7]=>0000000=>0000000 [3,2,6,4,8,5,1,7]=>0000000=>0000000 [3,2,5,8,4,6,1,7]=>0000000=>0000000 [4,2,1,5,7,3,6,8]=>0000001=>1000000 [4,5,2,3,7,1,6,8]=>0000001=>1000000 [4,2,5,3,8,1,6,7]=>0000000=>0000000 [4,2,5,8,3,1,6,7]=>0000000=>0000000 [4,1,5,3,8,2,6,7]=>0000000=>0000000 [4,3,2,7,5,1,6,8]=>0000001=>1000000 [4,3,6,2,5,1,7,8]=>0000011=>1100000 [4,6,7,1,3,2,5,8]=>0000001=>1000000 [4,5,1,7,3,2,6,8]=>0000001=>1000000 [4,5,1,3,7,2,6,8]=>0000001=>1000000 [3,5,1,4,2,7,6,8]=>0000101=>1010000 [2,5,1,4,3,7,8,6]=>0000100=>0010000 [5,2,1,4,3,7,8,6]=>0000100=>0010000 [5,3,1,4,2,7,6,8]=>0000101=>1010000 [4,3,1,7,5,2,6,8]=>0000001=>1000000 [5,3,6,4,1,2,7,8]=>0000011=>1100000 [4,3,6,1,7,2,5,8]=>0000001=>1000000 [6,3,4,1,2,7,5,8]=>0000001=>1000000 [6,2,4,1,3,7,8,5]=>0000000=>0000000 [3,6,4,1,2,7,5,8]=>0000001=>1000000 [4,6,3,1,7,2,5,8]=>0000001=>1000000 [5,3,6,2,1,4,7,8]=>0000011=>1100000 [4,5,2,7,3,1,6,8]=>0000001=>1000000 [4,6,7,2,3,1,5,8]=>0000001=>1000000 [4,6,2,1,7,3,5,8]=>0000001=>1000000 [3,2,6,1,4,7,5,8]=>0000001=>1000000 [3,6,7,2,4,5,1,8]=>0000001=>1000000 [7,2,1,4,6,3,8,5]=>0000000=>0000000 [7,3,1,4,6,8,2,5]=>0000000=>0000000 [3,6,2,1,5,7,4,8]=>0000001=>1000000 [7,4,1,5,6,2,3,8]=>0000001=>1000000 [7,3,1,5,2,6,4,8]=>0000001=>1000000 [7,2,1,5,3,6,8,4]=>0000000=>0000000 [6,2,5,1,3,7,8,4]=>0000000=>0000000 [6,3,5,1,2,7,4,8]=>0000001=>1000000 [6,4,5,1,7,2,3,8]=>0000001=>1000000 [4,6,5,1,7,2,3,8]=>0000001=>1000000 [3,6,5,1,2,7,4,8]=>0000001=>1000000 [2,4,1,5,3,8,7,6]=>0000100=>0010000 [3,4,5,1,2,8,7,6]=>0000100=>0010000 [3,4,5,2,8,1,7,6]=>0000000=>0000000 [2,4,8,6,3,7,1,5]=>0000000=>0000000 [1,8,4,6,3,7,2,5]=>1000000=>0000001 [3,5,6,2,7,8,4,1]=>0000000=>0000000 [4,5,6,7,2,8,3,1]=>0000000=>0000000 [2,5,8,6,7,3,4,1]=>0000000=>0000000 [4,5,6,7,2,1,8,3]=>0000000=>0000000 [2,5,1,6,7,8,4,3]=>0000000=>0000000 [3,4,6,8,1,7,5,2]=>0000000=>0000000 [2,4,8,6,1,7,5,3]=>0000000=>0000000 [8,2,4,3,7,1,6,5]=>0000000=>0000000 [6,1,5,7,3,2,4,8]=>0000001=>1000000 [6,1,5,8,3,2,4,7]=>0000000=>0000000 [7,3,2,4,6,1,5,8]=>0000001=>1000000 [5,7,6,1,8,3,4,2]=>0000000=>0000000 [3,2,5,1,6,4,7,8]=>0000011=>1100000 [3,8,6,5,1,7,4,2]=>0000000=>0000000 [3,7,6,5,1,8,4,2]=>0000000=>0000000 [3,2,5,1,6,7,8,4]=>0000000=>0000000 [3,2,4,1,6,8,5,7]=>0001000=>0001000 [8,3,2,4,7,6,1,5]=>0000000=>0000000 [3,2,5,1,8,4,7,6]=>0000000=>0000000 [3,2,5,1,6,7,4,8]=>0000001=>1000000 [8,4,2,3,7,5,1,6]=>0000000=>0000000 [5,2,6,1,8,3,7,4]=>0000000=>0000000 [5,2,6,1,8,4,7,3]=>0000000=>0000000 [7,4,2,3,8,5,1,6]=>0000000=>0000000 [8,5,1,6,4,2,3,7]=>0000000=>0000000 [8,5,6,1,7,3,4,2]=>0000000=>0000000 [3,6,8,5,1,7,4,2]=>0000000=>0000000 [3,2,5,1,8,6,7,4]=>0000000=>0000000 [3,2,5,1,7,8,6,4]=>0000000=>0000000 [4,6,3,7,1,8,5,2]=>0000000=>0000000 [4,6,3,7,5,1,8,2]=>0000000=>0000000 [4,2,6,1,7,5,3,8]=>0000001=>1000000 [2,5,7,4,1,6,3,8]=>0000001=>1000000 [2,5,7,4,1,6,8,3]=>0000000=>0000000 [5,4,7,8,3,1,6,2]=>0000000=>0000000 [4,3,7,5,1,8,6,2]=>0000000=>0000000 [6,4,3,8,5,1,7,2]=>0000000=>0000000 [5,8,4,3,6,1,7,2]=>0000000=>0000000 [5,4,8,3,6,1,7,2]=>0000000=>0000000 [2,5,4,6,1,7,3,8]=>0000001=>1000000 [4,6,2,1,8,5,7,3]=>0000000=>0000000 [2,4,1,7,5,8,6,3]=>0000000=>0000000 [2,4,1,7,5,3,8,6]=>0000000=>0000000 [2,6,4,1,8,5,3,7]=>0000000=>0000000 [5,4,8,2,1,6,3,7]=>0000000=>0000000 [2,5,8,4,1,6,3,7]=>0000000=>0000000 [3,2,5,6,1,8,4,7]=>0000000=>0000000 [4,8,3,2,6,1,5,7]=>0000000=>0000000 [3,5,2,8,1,6,4,7]=>0000000=>0000000 [3,2,1,6,8,5,4,7]=>0010000=>0000100 [3,2,7,1,5,4,8,6]=>0000000=>0000000 [3,2,7,1,5,8,6,4]=>0000000=>0000000 [3,8,2,5,1,6,7,4]=>0000000=>0000000 [4,8,3,2,6,7,1,5]=>0000000=>0000000 [4,3,8,2,6,7,1,5]=>0000000=>0000000 [4,3,2,6,7,8,1,5]=>0000000=>0000000 [4,3,2,6,7,1,5,8]=>0000001=>1000000 [4,3,7,8,2,6,1,5]=>0000000=>0000000 [2,5,7,4,8,1,6,3]=>0000000=>0000000 [3,2,5,7,1,6,8,4]=>0000000=>0000000 [3,2,5,7,1,6,4,8]=>0000001=>1000000 [6,3,2,7,1,5,4,8]=>0000001=>1000000 [6,3,2,7,1,5,8,4]=>0000000=>0000000 [6,3,2,7,8,1,5,4]=>0000000=>0000000 [6,5,2,1,7,8,4,3]=>0000000=>0000000 [6,2,1,8,5,3,7,4]=>0000000=>0000000 [6,3,2,7,1,4,8,5]=>0000000=>0000000 [6,3,2,1,4,7,8,5]=>0000000=>0000000 [6,3,2,1,4,7,5,8]=>0000001=>1000000 [3,5,2,1,7,8,4,6]=>0000000=>0000000 [4,6,2,1,8,3,7,5]=>0000000=>0000000 [3,2,7,1,4,8,6,5]=>0000000=>0000000 [3,5,8,2,1,7,4,6]=>0000000=>0000000 [4,8,3,7,2,1,5,6]=>0000000=>0000000 [4,3,7,2,8,1,5,6]=>0000000=>0000000 [4,3,7,2,1,5,6,8]=>0000001=>1000000 [4,8,3,2,7,1,5,6]=>0000000=>0000000 [6,3,2,8,1,4,7,5]=>0000000=>0000000 [3,2,1,4,7,5,8,6]=>0011000=>0001100 [5,3,2,1,8,4,6,7]=>0000000=>0000000 [4,8,3,2,1,5,6,7]=>0000000=>0000000 [4,3,8,2,1,5,6,7]=>0000000=>0000000 [6,2,5,3,4,1,8,7]=>0000010=>0100000 [8,1,7,3,4,2,6,5]=>0000000=>0000000 [8,2,7,1,4,3,6,5]=>0000000=>0000000 [8,2,3,1,5,4,7,6]=>0000000=>0000000 [2,1,8,5,7,3,6,4]=>0100000=>0000010 [3,6,7,8,4,2,5,1]=>0000000=>0000000 [5,2,7,8,1,4,6,3]=>0000000=>0000000 [2,8,4,5,3,1,6,7]=>0000000=>0000000 [2,7,6,8,4,3,5,1]=>0000000=>0000000 [4,6,8,5,1,3,2,7]=>0000000=>0000000 [2,4,8,3,6,5,1,7]=>0000000=>0000000 [1,7,3,8,5,4,6,2]=>1000000=>0000001 [2,8,5,4,3,1,6,7]=>0000000=>0000000 [1,4,3,2,8,5,6,7]=>1001000=>0001001 [6,4,8,2,5,3,1,7]=>0000000=>0000000 [6,2,8,4,5,3,1,7]=>0000000=>0000000 [5,1,3,2,4,8,6,7]=>0000100=>0010000 [2,8,1,5,3,4,7,6]=>0000000=>0000000 [1,4,2,8,5,3,6,7]=>1000000=>0000001 [3,5,1,4,8,2,6,7]=>0000000=>0000000 [1,5,2,8,4,3,6,7]=>1000000=>0000001 [1,2,5,4,3,8,6,7]=>1100100=>0010011 [1,2,4,8,5,3,7,6]=>1100000=>0000011 [1,5,2,7,8,4,3,6]=>1000000=>0000001 [5,1,2,7,4,8,3,6]=>0000000=>0000000 [8,3,5,1,4,7,2,6]=>0000000=>0000000 [1,2,8,5,7,4,3,6]=>1100000=>0000011 [1,2,4,8,7,5,3,6]=>1100000=>0000011 [2,8,1,4,3,7,6,5]=>0000000=>0000000 [7,6,1,4,2,8,3,5]=>0000000=>0000000 [7,1,6,2,8,4,3,5]=>0000000=>0000000 [1,4,2,7,8,5,3,6]=>1000000=>0000001 [6,1,2,8,4,3,7,5]=>0000000=>0000000 [6,4,1,2,8,3,7,5]=>0000000=>0000000 [7,6,1,3,2,4,8,5]=>0000000=>0000000 [6,7,1,3,2,4,8,5]=>0000000=>0000000 [1,2,7,3,5,8,4,6]=>1100000=>0000011 [5,8,1,3,7,2,4,6]=>0000000=>0000000 [1,2,5,8,7,3,4,6]=>1100000=>0000011 [8,6,1,3,2,4,7,5]=>0000000=>0000000 [4,2,8,1,7,3,6,5]=>0000000=>0000000 [7,1,2,8,4,3,6,5]=>0000000=>0000000 [1,2,8,4,7,5,3,6]=>1100000=>0000011 [1,2,8,7,4,5,3,6]=>1100000=>0000011 [2,8,1,7,5,3,4,6]=>0000000=>0000000 [8,3,7,1,5,2,4,6]=>0000000=>0000000 [8,6,1,4,2,7,3,5]=>0000000=>0000000 [7,1,2,8,6,4,3,5]=>0000000=>0000000 [3,7,4,8,1,6,2,5]=>0000000=>0000000 [3,4,8,7,1,6,2,5]=>0000000=>0000000 [4,2,8,1,7,6,3,5]=>0000000=>0000000 [2,8,1,7,6,4,3,5]=>0000000=>0000000 [7,8,3,4,1,5,2,6]=>0000000=>0000000 [6,8,3,4,1,7,2,5]=>0000000=>0000000 [5,7,3,4,1,8,2,6]=>0000000=>0000000 [5,8,3,4,1,7,2,6]=>0000000=>0000000 [4,7,3,5,1,6,2,8]=>0000001=>1000000 [4,8,3,5,1,6,2,7]=>0000000=>0000000 [4,8,3,5,1,7,2,6]=>0000000=>0000000 [4,7,3,5,1,8,2,6]=>0000000=>0000000 [5,6,2,3,1,7,4,8]=>0000001=>1000000 [5,6,2,4,1,8,3,7]=>0000000=>0000000 [5,6,2,4,1,7,3,8]=>0000001=>1000000 [4,6,2,5,1,7,3,8]=>0000001=>1000000 [4,6,2,5,1,8,3,7]=>0000000=>0000000 [4,5,1,8,3,7,2,6]=>0000000=>0000000 [4,6,2,7,3,8,1,5]=>0000000=>0000000 [5,6,2,7,3,8,1,4]=>0000000=>0000000 [5,6,2,8,4,7,1,3]=>0000000=>0000000 [5,6,2,8,3,7,1,4]=>0000000=>0000000 [4,6,2,8,3,7,1,5]=>0000000=>0000000 [4,5,1,7,3,6,2,8]=>0000001=>1000000 [4,5,1,8,3,6,2,7]=>0000000=>0000000 [6,3,8,4,5,7,2,1]=>0000000=>0000000 [2,5,8,4,7,6,3,1]=>0000000=>0000000 [4,3,8,1,5,6,7,2]=>0000000=>0000000 [3,8,7,4,1,6,2,5]=>0000000=>0000000 [6,1,8,4,5,7,2,3]=>0000000=>0000000 [4,5,7,6,2,3,8,1]=>0000000=>0000000 [3,5,7,2,6,4,8,1]=>0000000=>0000000 [2,5,7,3,6,4,8,1]=>0000000=>0000000 [8,4,3,7,6,1,5,2]=>0000000=>0000000 [6,7,2,3,5,4,8,1]=>0000000=>0000000 [5,2,7,3,6,4,8,1]=>0000000=>0000000 [8,3,4,7,6,1,5,2]=>0000000=>0000000 [8,2,4,7,1,6,5,3]=>0000000=>0000000 [3,1,4,7,6,8,5,2]=>0000000=>0000000 [5,1,7,3,6,8,4,2]=>0000000=>0000000 [6,7,1,3,5,8,4,2]=>0000000=>0000000 [4,8,3,7,6,1,5,2]=>0000000=>0000000 [2,8,4,7,1,6,5,3]=>0000000=>0000000 [8,1,4,7,2,6,5,3]=>0000000=>0000000 [8,1,3,2,7,6,5,4]=>0000000=>0000000 [2,8,3,1,7,6,5,4]=>0000000=>0000000 [6,7,1,2,8,5,4,3]=>0000000=>0000000 [8,2,3,1,7,6,5,4]=>0000000=>0000000 [1,4,2,7,8,6,5,3]=>1000000=>0000001 [8,4,2,7,1,6,5,3]=>0000000=>0000000 [8,5,7,2,1,6,4,3]=>0000000=>0000000 [1,5,7,2,8,6,4,3]=>1000000=>0000001 [2,5,7,1,8,6,4,3]=>0000000=>0000000 [3,5,7,1,6,8,4,2]=>0000000=>0000000 [6,7,4,5,8,1,3,2]=>0000000=>0000000 [2,5,7,8,1,6,4,3]=>0000000=>0000000 [1,5,7,8,2,6,4,3]=>1000000=>0000001 [8,5,7,1,2,6,4,3]=>0000000=>0000000 [8,4,1,7,2,6,5,3]=>0000000=>0000000 [6,7,2,8,1,5,4,3]=>0000000=>0000000 [5,2,7,8,1,6,4,3]=>0000000=>0000000 [4,2,8,7,1,6,5,3]=>0000000=>0000000 [1,3,8,2,7,6,5,4]=>1000000=>0000001 [8,3,1,2,7,6,5,4]=>0000000=>0000000 [8,2,1,3,7,6,5,4]=>0000000=>0000000 [2,1,8,3,7,6,5,4]=>0100000=>0000010 [5,1,7,8,2,6,4,3]=>0000000=>0000000 [6,7,1,8,2,5,4,3]=>0000000=>0000000 [4,8,1,7,2,6,5,3]=>0000000=>0000000 [3,8,1,2,7,6,5,4]=>0000000=>0000000 [1,8,2,3,7,6,5,4]=>1000000=>0000001 [3,7,1,5,8,2,6,4]=>0000000=>0000000 [2,7,1,5,8,3,6,4]=>0000000=>0000000 [2,6,5,1,8,3,7,4]=>0000000=>0000000 [5,6,4,1,8,7,2,3]=>0000000=>0000000 [8,1,4,5,7,6,2,3]=>0000000=>0000000 [6,4,5,1,8,7,2,3]=>0000000=>0000000 [5,4,6,1,8,7,2,3]=>0000000=>0000000 [3,5,6,1,8,2,7,4]=>0000000=>0000000 [2,5,6,1,8,3,7,4]=>0000000=>0000000 [2,4,6,1,3,8,7,5]=>0000000=>0000000 [3,4,6,1,2,8,7,5]=>0000000=>0000000 [5,3,6,1,8,2,7,4]=>0000000=>0000000 [7,3,1,5,8,2,6,4]=>0000000=>0000000 [8,1,3,5,7,2,6,4]=>0000000=>0000000 [8,1,2,5,7,3,6,4]=>0000000=>0000000 [7,2,1,5,8,3,6,4]=>0000000=>0000000 [6,2,5,1,8,3,7,4]=>0000000=>0000000 [4,2,6,1,3,8,7,5]=>0000000=>0000000 [4,2,5,3,1,8,7,6]=>0000100=>0010000 [6,2,4,1,3,8,7,5]=>0000000=>0000000 [7,2,1,4,3,8,6,5]=>0000000=>0000000 [8,1,2,4,3,7,6,5]=>0000000=>0000000 [8,1,3,4,2,7,6,5]=>0000000=>0000000 [7,3,1,4,2,8,6,5]=>0000000=>0000000 [4,6,3,1,2,8,7,5]=>0000000=>0000000 [2,6,4,1,3,8,7,5]=>0000000=>0000000 [2,7,1,4,3,8,6,5]=>0000000=>0000000 [8,1,6,7,2,3,5,4]=>0000000=>0000000 [4,7,1,2,3,8,6,5]=>0000000=>0000000 [3,7,1,2,4,8,6,5]=>0000000=>0000000 [2,6,3,1,4,8,7,5]=>0000000=>0000000 [3,6,2,1,4,8,7,5]=>0000000=>0000000 [5,6,2,1,8,3,7,4]=>0000000=>0000000 [6,5,2,1,8,3,7,4]=>0000000=>0000000 [8,1,4,2,3,7,6,5]=>0000000=>0000000 [7,4,1,2,3,8,6,5]=>0000000=>0000000 [5,4,2,3,1,8,7,6]=>0000100=>0010000 [3,5,2,4,1,8,7,6]=>0000100=>0010000 [7,3,1,2,4,8,6,5]=>0000000=>0000000 [8,1,3,2,4,7,6,5]=>0000000=>0000000 [7,2,1,3,4,8,6,5]=>0000000=>0000000 [2,4,6,3,5,8,7,1]=>0000000=>0000000 [4,2,6,5,8,1,3,7]=>0000000=>0000000 [2,4,1,6,5,8,3,7]=>0000000=>0000000 [2,6,4,3,8,7,5,1]=>0000000=>0000000 [4,2,6,8,5,3,7,1]=>0000000=>0000000 [2,4,6,8,1,5,7,3]=>0000000=>0000000 [2,1,4,6,8,5,3,7]=>0100000=>0000010 [2,4,6,1,8,5,3,7]=>0000000=>0000000 [2,4,6,8,1,5,3,7]=>0000000=>0000000 [2,4,6,8,3,5,7,1]=>0000000=>0000000 [2,4,6,3,8,5,7,1]=>0000000=>0000000 [2,4,3,6,8,5,7,1]=>0000000=>0000000 [2,4,3,6,8,5,1,7]=>0000000=>0000000 [2,4,3,6,8,1,5,7]=>0000000=>0000000 [4,6,5,2,8,7,1,3]=>0000000=>0000000 [2,6,4,1,8,7,5,3]=>0000000=>0000000 [1,3,7,4,5,8,2,6]=>1000000=>0000001 [1,7,6,3,4,8,2,5]=>1000000=>0000001 [8,1,6,3,7,2,4,5]=>0000000=>0000000 [1,2,7,4,8,3,5,6]=>1100000=>0000011 [6,1,7,3,4,8,2,5]=>0000000=>0000000 [2,1,7,4,5,8,3,6]=>0100000=>0000010 [5,1,4,7,3,8,2,6]=>0000000=>0000000 [4,3,1,7,5,8,2,6]=>0000000=>0000000 [2,8,6,3,7,1,4,5]=>0000000=>0000000 [6,8,1,3,7,2,4,5]=>0000000=>0000000 [5,8,2,1,7,3,4,6]=>0000000=>0000000 [5,7,2,1,8,3,4,6]=>0000000=>0000000 [6,7,1,3,8,2,4,5]=>0000000=>0000000 [8,5,1,3,7,2,4,6]=>0000000=>0000000 [1,5,3,2,8,4,6,7]=>1000000=>0000001 [2,6,4,8,7,1,3,5]=>0000000=>0000000 [1,6,4,8,7,2,3,5]=>1000000=>0000001 [4,3,2,8,7,1,5,6]=>0000000=>0000000 [5,2,4,8,7,1,3,6]=>0000000=>0000000 [6,2,8,3,7,1,4,5]=>0000000=>0000000 [5,1,4,8,7,2,3,6]=>0000000=>0000000 [3,7,2,1,5,4,8,6]=>0000000=>0000000 [3,8,2,1,5,4,7,6]=>0000000=>0000000 [8,3,2,1,5,4,6,7]=>0000000=>0000000 [8,3,2,1,6,4,5,7]=>0000000=>0000000 [8,4,2,5,1,6,3,7]=>0000000=>0000000 [8,3,2,1,4,6,5,7]=>0000000=>0000000 [3,8,2,1,4,5,7,6]=>0000000=>0000000 [3,2,7,1,4,6,8,5]=>0000000=>0000000 [3,2,8,1,4,6,7,5]=>0000000=>0000000 [3,8,2,1,4,7,5,6]=>0000000=>0000000 [3,8,2,1,5,7,4,6]=>0000000=>0000000 [4,8,2,5,1,7,3,6]=>0000000=>0000000 [4,7,2,5,1,8,3,6]=>0000000=>0000000 [3,7,2,1,5,8,4,6]=>0000000=>0000000 [3,7,2,1,4,8,5,6]=>0000000=>0000000 [3,2,1,7,5,8,6,4]=>0010000=>0000100 [4,2,7,6,1,8,3,5]=>0000000=>0000000 [4,3,7,6,8,1,2,5]=>0000000=>0000000 [4,3,8,6,7,1,2,5]=>0000000=>0000000 [3,8,2,1,7,4,5,6]=>0000000=>0000000 [3,2,8,1,6,4,7,5]=>0000000=>0000000 [3,2,7,1,6,4,8,5]=>0000000=>0000000 [4,2,7,6,1,3,8,5]=>0000000=>0000000 [4,2,8,6,1,3,7,5]=>0000000=>0000000 [5,7,8,3,4,1,2,6]=>0000000=>0000000 [4,2,6,8,1,3,7,5]=>0000000=>0000000 [4,2,6,7,1,3,8,5]=>0000000=>0000000 [3,2,6,1,8,4,7,5]=>0000000=>0000000 [3,7,2,1,8,5,4,6]=>0000000=>0000000 [4,7,3,8,5,1,2,6]=>0000000=>0000000 [4,3,7,8,6,1,2,5]=>0000000=>0000000 [3,2,7,1,8,6,4,5]=>0000000=>0000000 [3,2,1,6,8,5,7,4]=>0010000=>0000100 [3,2,6,1,8,7,4,5]=>0000000=>0000000 [4,2,6,8,1,7,3,5]=>0000000=>0000000 [4,3,6,8,7,1,2,5]=>0000000=>0000000 [4,2,6,7,1,8,3,5]=>0000000=>0000000 [3,2,6,1,7,8,4,5]=>0000000=>0000000 [5,3,6,4,8,7,1,2]=>0000000=>0000000 [1,4,6,2,7,8,5,3]=>1000000=>0000001 [3,1,8,5,4,2,6,7]=>0000000=>0000000 [1,2,7,5,4,8,6,3]=>1100000=>0000011 [6,3,7,5,4,8,1,2]=>0000000=>0000000 [1,6,2,5,4,8,7,3]=>1000000=>0000001 [1,8,2,5,7,3,6,4]=>1000000=>0000001 [6,2,1,5,4,8,7,3]=>0000000=>0000000 [4,1,6,2,8,7,5,3]=>0000000=>0000000 [7,8,3,1,4,2,6,5]=>0000000=>0000000 [4,3,6,1,8,2,7,5]=>0000000=>0000000 [7,5,1,6,4,3,2,8]=>0000001=>1000000 [6,1,5,7,4,3,2,8]=>0000001=>1000000 [1,5,8,6,4,3,2,7]=>1000000=>0000001 [7,8,5,1,6,3,2,4]=>0000000=>0000000 [2,6,1,5,7,3,8,4]=>0000000=>0000000 [1,6,8,7,4,3,2,5]=>1000000=>0000001 [6,8,1,7,4,3,2,5]=>0000000=>0000000 [5,6,1,7,4,3,2,8]=>0000001=>1000000 [5,1,7,6,4,3,2,8]=>0000001=>1000000 [6,1,7,8,4,3,2,5]=>0000000=>0000000 [7,1,8,6,4,3,2,5]=>0000000=>0000000 [7,2,1,5,4,6,8,3]=>0000000=>0000000 [1,2,8,5,6,3,7,4]=>1100000=>0000011 [6,1,2,5,7,3,8,4]=>0000000=>0000000 [4,3,6,1,5,7,2,8]=>0000001=>1000000 [1,3,6,8,5,7,2,4]=>1000000=>0000001 [1,3,6,4,8,7,2,5]=>1000000=>0000001 [4,1,6,7,3,8,2,5]=>0000000=>0000000 [5,4,6,1,3,7,2,8]=>0000001=>1000000 [6,4,1,5,2,3,7,8]=>0000011=>1100000 [4,1,7,5,2,3,8,6]=>0000000=>0000000 [2,8,3,5,4,1,7,6]=>0000000=>0000000 [7,8,1,4,6,3,2,5]=>0000000=>0000000 [5,1,8,7,4,3,2,6]=>0000000=>0000000 [6,5,1,8,4,3,2,7]=>0000000=>0000000 [6,5,7,1,4,3,2,8]=>0000001=>1000000 [7,5,8,1,4,3,2,6]=>0000000=>0000000 [1,5,7,8,4,3,2,6]=>1000000=>0000001 [2,4,7,5,1,3,8,6]=>0000000=>0000000 [7,8,4,6,1,3,2,5]=>0000000=>0000000 [1,6,5,8,4,3,2,7]=>1000000=>0000001 [6,8,5,1,4,3,2,7]=>0000000=>0000000 [3,6,2,5,4,1,7,8]=>0000011=>1100000 [4,3,6,2,8,1,5,7]=>0000000=>0000000 [6,1,2,5,4,7,8,3]=>0000000=>0000000 [6,2,4,5,1,3,7,8]=>0000011=>1100000 [4,2,8,5,1,3,7,6]=>0000000=>0000000 [4,3,6,8,1,7,2,5]=>0000000=>0000000 [5,3,6,4,1,7,2,8]=>0000001=>1000000 [1,6,7,4,8,3,5,2]=>1000000=>0000001 [1,4,6,3,7,5,8,2]=>1000000=>0000001 [4,6,7,2,5,8,1,3]=>0000000=>0000000 [2,4,6,1,7,5,3,8]=>0000001=>1000000 [2,7,5,4,1,6,3,8]=>0000001=>1000000 [1,7,5,4,3,8,6,2]=>1000000=>0000001 [1,5,8,4,3,6,7,2]=>1000000=>0000001 [5,4,6,2,7,8,1,3]=>0000000=>0000000 [2,5,4,1,6,7,3,8]=>0000001=>1000000 [5,6,3,2,7,1,4,8]=>0000001=>1000000 [5,6,3,2,7,1,8,4]=>0000000=>0000000 [8,5,6,3,2,7,1,4]=>0000000=>0000000 [5,4,6,2,8,1,7,3]=>0000000=>0000000 [2,4,1,7,8,5,3,6]=>0000000=>0000000 [5,6,3,2,1,8,4,7]=>0000000=>0000000 [3,5,2,1,6,4,7,8]=>0000011=>1100000 [6,8,4,3,2,1,5,7]=>0000000=>0000000 [5,3,8,2,1,6,4,7]=>0000000=>0000000 [7,3,2,8,5,1,6,4]=>0000000=>0000000 [8,4,6,3,2,1,7,5]=>0000000=>0000000 [5,4,7,2,1,8,6,3]=>0000000=>0000000 [5,7,3,2,1,6,8,4]=>0000000=>0000000 [6,3,7,2,5,1,8,4]=>0000000=>0000000 [6,7,8,3,5,2,1,4]=>0000000=>0000000 [6,2,5,7,8,4,1,3]=>0000000=>0000000 [2,1,5,7,8,6,3,4]=>0100000=>0000010 [3,6,7,2,8,1,4,5]=>0000000=>0000000 [3,2,6,1,7,4,5,8]=>0000001=>1000000 [2,5,8,4,1,3,7,6]=>0000000=>0000000 [2,4,1,7,8,3,6,5]=>0000000=>0000000 [3,6,8,2,1,7,4,5]=>0000000=>0000000 [5,3,8,2,1,4,7,6]=>0000000=>0000000 [4,8,7,3,2,1,5,6]=>0000000=>0000000 [4,7,3,2,1,5,6,8]=>0000001=>1000000 [8,4,7,3,2,1,5,6]=>0000000=>0000000 [8,3,5,2,1,4,7,6]=>0000000=>0000000 [3,5,2,1,4,6,8,7]=>0000110=>0110000 [2,7,6,5,1,8,3,4]=>0000000=>0000000 [2,7,6,5,1,8,4,3]=>0000000=>0000000 [7,3,5,1,8,4,2,6]=>0000000=>0000000 [2,3,4,8,7,6,1,5]=>0000000=>0000000 [2,1,4,5,8,7,3,6]=>0100000=>0000010 [6,4,3,5,8,7,1,2]=>0000000=>0000000 [5,7,3,6,1,8,4,2]=>0000000=>0000000 [2,3,4,8,7,1,6,5]=>0000000=>0000000 [6,1,4,2,8,5,7,3]=>0000000=>0000000 [1,3,8,5,7,6,2,4]=>1000000=>0000001 [8,6,1,5,7,2,3,4]=>0000000=>0000000 [3,2,8,5,7,6,1,4]=>0000000=>0000000 [7,8,5,4,1,6,2,3]=>0000000=>0000000 [7,2,6,4,5,1,8,3]=>0000000=>0000000 [7,8,9,10,11,12,6,5,4,3,2,1]=>00000000000=>00000000000 [3,8,2,7,6,1,5,4]=>0000000=>0000000 [4,8,7,2,6,5,3,1]=>0000000=>0000000 [4,8,7,3,1,6,5,2]=>0000000=>0000000 [4,8,7,3,2,6,1,5]=>0000000=>0000000 [4,8,7,3,2,6,5,1]=>0000000=>0000000 [4,8,7,3,6,2,5,1]=>0000000=>0000000 [4,8,7,3,6,1,5,2]=>0000000=>0000000 [5,8,7,6,3,4,2,1]=>0000000=>0000000 [5,8,7,6,3,1,4,2]=>0000000=>0000000 [5,8,7,6,2,4,3,1]=>0000000=>0000000 [5,8,7,6,4,2,1,3]=>0000000=>0000000 [5,8,7,6,4,1,3,2]=>0000000=>0000000 [5,8,7,6,4,3,1,2]=>0000000=>0000000 [7,3,5,2,6,4,1,8]=>0000001=>1000000 [7,2,1,5,6,4,3,8]=>0000001=>1000000 [6,2,1,5,7,4,8,3]=>0000000=>0000000 [3,2,1,5,7,4,8,6]=>0010000=>0000100 [2,4,6,7,3,8,1,5]=>0000000=>0000000 [1,4,6,7,3,8,5,2]=>1000000=>0000001 [3,2,1,6,7,8,4,5]=>0010000=>0000100 [5,2,1,6,7,8,4,3]=>0000000=>0000000 [5,3,6,1,7,8,4,2]=>0000000=>0000000 [4,3,6,2,7,8,5,1]=>0000000=>0000000 [4,2,1,5,7,3,8,6]=>0000000=>0000000 [1,5,6,7,8,2,4,3]=>1000000=>0000001 [1,5,6,7,8,4,2,3]=>1000000=>0000001 [4,3,6,1,7,8,5,2]=>0000000=>0000000 [1,4,3,6,2,5,7,8]=>1000011=>1100001 [1,4,3,7,2,5,6,8]=>1000001=>1000001 [1,4,3,7,6,8,2,5]=>1000000=>0000001 [1,4,3,7,5,8,2,6]=>1000000=>0000001 [1,5,3,7,4,8,2,6]=>1000000=>0000001 [1,5,4,8,2,6,3,7]=>1000000=>0000001 [1,5,4,8,3,7,2,6]=>1000000=>0000001 [1,2,3,6,5,8,4,7]=>1110000=>0000111 [7,8,1,4,5,3,6,2]=>0000000=>0000000 [5,8,1,4,7,6,3,2]=>0000000=>0000000 [7,5,1,8,6,2,4,3]=>0000000=>0000000 [7,4,1,8,2,6,3,5]=>0000000=>0000000 [7,1,8,4,2,6,3,5]=>0000000=>0000000 [7,3,1,8,4,2,6,5]=>0000000=>0000000 [7,2,8,3,6,5,1,4]=>0000000=>0000000 [7,2,8,3,6,1,5,4]=>0000000=>0000000 [6,1,2,8,3,5,4,7]=>0000000=>0000000 [5,2,3,8,1,4,7,6]=>0000000=>0000000 [6,2,4,1,8,7,3,5]=>0000000=>0000000 [3,1,6,4,2,8,5,7]=>0000000=>0000000 [2,6,3,8,7,1,5,4]=>0000000=>0000000 [2,6,3,8,5,1,4,7]=>0000000=>0000000 [2,5,1,8,3,4,7,6]=>0000000=>0000000 [1,2,5,3,8,4,7,6]=>1100000=>0000011 [1,2,4,8,3,7,6,5]=>1100000=>0000011 [2,4,8,3,7,1,6,5]=>0000000=>0000000 [2,4,8,3,7,6,1,5]=>0000000=>0000000 [2,5,3,8,1,7,4,6]=>0000000=>0000000 [2,5,4,1,3,8,7,6]=>0000100=>0010000 [3,1,5,4,8,2,7,6]=>0000000=>0000000 [5,3,1,4,8,2,7,6]=>0000000=>0000000 [5,2,3,8,4,7,1,6]=>0000000=>0000000 [4,8,2,3,7,6,1,5]=>0000000=>0000000 [4,8,2,3,7,1,6,5]=>0000000=>0000000 [4,8,1,2,3,7,6,5]=>0000000=>0000000 [1,4,8,3,7,2,6,5]=>1000000=>0000001 [6,3,8,1,5,2,4,7]=>0000000=>0000000 [5,3,8,1,2,4,7,6]=>0000000=>0000000 [5,1,3,8,2,4,7,6]=>0000000=>0000000 [1,5,3,8,2,4,7,6]=>1000000=>0000001 [1,5,4,8,2,7,6,3]=>1000000=>0000001 [5,1,4,8,2,7,6,3]=>0000000=>0000000 [5,4,8,1,2,7,6,3]=>0000000=>0000000 [6,5,1,2,8,7,4,3]=>0000000=>0000000 [4,1,5,8,2,7,6,3]=>0000000=>0000000 [4,1,2,5,8,7,6,3]=>0000000=>0000000 [1,4,2,5,8,7,6,3]=>1000000=>0000001 [1,3,5,2,8,7,4,6]=>1000000=>0000001 [3,5,1,2,8,7,4,6]=>0000000=>0000000 [4,2,6,1,8,7,3,5]=>0000000=>0000000 [4,3,1,5,8,2,7,6]=>0000000=>0000000 [3,5,2,8,7,1,4,6]=>0000000=>0000000 [3,4,8,7,2,6,1,5]=>0000000=>0000000 [3,4,8,1,7,2,6,5]=>0000000=>0000000 [1,3,4,8,7,2,6,5]=>1000000=>0000001 [1,3,4,8,2,7,6,5]=>1000000=>0000001 [3,4,8,1,2,7,6,5]=>0000000=>0000000 [3,4,8,2,7,1,6,5]=>0000000=>0000000 [3,4,8,2,7,6,1,5]=>0000000=>0000000 [4,2,5,8,1,7,6,3]=>0000000=>0000000 [4,3,1,2,5,8,7,6]=>0001100=>0011000 [3,1,4,2,5,8,7,6]=>0001100=>0011000 [2,3,5,1,8,7,6,4]=>0000000=>0000000 [7,8,2,1,5,3,6,4]=>0000000=>0000000 [6,4,1,2,7,3,5,8]=>0000001=>1000000 [2,3,7,5,4,1,8,6]=>0000000=>0000000 [6,3,1,5,4,2,7,8]=>0000011=>1100000 [7,8,1,5,4,2,6,3]=>0000000=>0000000 [7,8,3,5,4,1,6,2]=>0000000=>0000000 [7,8,2,5,4,1,3,6]=>0000000=>0000000 [7,8,2,5,4,6,1,3]=>0000000=>0000000 [6,2,1,5,4,7,3,8]=>0000001=>1000000 [5,3,6,2,4,7,1,8]=>0000001=>1000000 [6,4,2,1,7,3,8,5]=>0000000=>0000000 [2,7,6,5,3,1,4,8]=>0000001=>1000000 [3,7,6,4,8,5,1,2]=>0000000=>0000000 [5,7,6,3,8,4,1,2]=>0000000=>0000000 [5,1,6,2,4,8,3,7]=>0000000=>0000000 [4,7,6,5,2,1,3,8]=>0000001=>1000000 [4,7,6,5,2,8,1,3]=>0000000=>0000000 [4,7,6,5,1,8,3,2]=>0000000=>0000000 [1,7,6,5,2,8,3,4]=>1000000=>0000001 [1,7,6,5,3,2,8,4]=>1000000=>0000001 [4,7,6,5,1,2,8,3]=>0000000=>0000000 [4,7,6,5,3,1,8,2]=>0000000=>0000000 [5,2,6,3,4,1,7,8]=>0000011=>1100000 [5,1,6,2,4,7,8,3]=>0000000=>0000000 [1,7,2,4,8,3,6,5]=>1000000=>0000001 [4,7,2,1,5,3,6,8]=>0000001=>1000000 [4,7,1,6,2,3,8,5]=>0000000=>0000000 [1,7,2,6,8,3,5,4]=>1000000=>0000001 [1,2,6,7,4,8,5,3]=>1100000=>0000011 [3,1,6,7,4,2,8,5]=>0000000=>0000000 [3,2,8,5,4,6,1,7]=>0000000=>0000000 [4,7,6,3,5,8,1,2]=>0000000=>0000000 [3,7,6,5,2,4,1,8]=>0000001=>1000000 [3,7,6,5,2,1,8,4]=>0000000=>0000000 [1,7,6,5,8,2,4,3]=>1000000=>0000001 [3,7,6,5,8,1,4,2]=>0000000=>0000000 [3,7,6,5,1,2,4,8]=>0000001=>1000000 [3,1,6,8,4,2,5,7]=>0000000=>0000000 [4,7,6,8,3,5,1,2]=>0000000=>0000000 [2,7,6,5,8,1,3,4]=>0000000=>0000000 [2,7,6,5,8,4,1,3]=>0000000=>0000000 [3,7,5,8,2,4,1,6]=>0000000=>0000000 [5,1,7,8,4,3,2,6]=>0000000=>0000000 [4,7,1,8,3,6,2,5]=>0000000=>0000000 [7,1,2,3,8,6,5,4]=>0000000=>0000000 [6,8,1,4,3,7,2,5]=>0000000=>0000000 [8,7,3,2,4,1,6,5]=>0000000=>0000000 [7,1,2,3,6,8,5,4]=>0000000=>0000000 [3,8,7,1,4,2,6,5]=>0000000=>0000000 [5,8,3,7,1,4,2,6]=>0000000=>0000000 [7,1,2,3,5,6,8,4]=>0000000=>0000000 [5,1,2,3,7,8,6,4]=>0000000=>0000000 [8,6,3,2,4,7,1,5]=>0000000=>0000000 [7,8,1,2,6,3,5,4]=>0000000=>0000000 [1,4,8,2,7,3,5,6]=>1000000=>0000001 [1,2,8,5,4,7,3,6]=>1100000=>0000011 [2,3,6,8,4,7,1,5]=>0000000=>0000000 [1,3,6,8,4,7,5,2]=>1000000=>0000001 [2,4,8,1,7,3,6,5]=>0000000=>0000000 [3,4,8,5,7,6,1,2]=>0000000=>0000000 [1,2,6,8,4,5,7,3]=>1100000=>0000011 [7,5,1,2,4,3,6,8]=>0000001=>1000000 [7,4,6,1,5,2,3,8]=>0000001=>1000000 [6,8,1,4,7,2,3,5]=>0000000=>0000000 [1,6,4,2,8,3,5,7]=>1000000=>0000001 [1,6,3,8,5,4,2,7]=>1000000=>0000001 [7,1,3,6,5,4,2,8]=>0000001=>1000000 [7,2,1,4,6,3,5,8]=>0000001=>1000000 [7,2,3,6,5,1,4,8]=>0000001=>1000000 [7,1,2,3,6,5,4,8]=>0000001=>1000000 [6,8,1,2,7,3,5,4]=>0000000=>0000000 [1,6,2,3,8,5,4,7]=>1000000=>0000001 [1,5,8,2,7,6,3,4]=>1000000=>0000001 [5,8,2,7,6,3,4,1]=>0000000=>0000000 [6,2,8,1,7,3,5,4]=>0000000=>0000000 [3,6,4,1,2,8,5,7]=>0000000=>0000000 [2,5,1,8,7,6,3,4]=>0000000=>0000000 [1,2,5,3,8,7,4,6]=>1100000=>0000011 [2,5,3,8,7,1,6,4]=>0000000=>0000000 [2,5,8,4,1,7,6,3]=>0000000=>0000000 [3,5,8,7,1,4,2,6]=>0000000=>0000000 [5,3,8,4,1,7,6,2]=>0000000=>0000000 [4,2,8,7,6,3,5,1]=>0000000=>0000000 [6,3,1,8,7,2,5,4]=>0000000=>0000000 [5,1,3,8,7,6,2,4]=>0000000=>0000000 [1,5,3,8,7,6,2,4]=>1000000=>0000001 [5,1,8,4,7,2,6,3]=>0000000=>0000000 [5,8,7,4,6,1,2,3]=>0000000=>0000000 [6,8,5,1,2,4,7,3]=>0000000=>0000000 [4,5,8,1,7,2,6,3]=>0000000=>0000000 [1,3,2,5,8,7,4,6]=>1010000=>0000101 [3,5,1,8,7,4,6,2]=>0000000=>0000000 [4,3,6,1,2,8,5,7]=>0000000=>0000000 [4,5,8,3,1,7,2,6]=>0000000=>0000000 [4,5,2,8,7,1,3,6]=>0000000=>0000000 [3,2,5,8,7,1,6,4]=>0000000=>0000000 [3,4,8,7,6,2,1,5]=>0000000=>0000000 [3,4,8,7,6,5,1,2]=>0000000=>0000000 [1,3,4,8,7,6,2,5]=>1000000=>0000001 [3,4,8,7,6,2,5,1]=>0000000=>0000000 [3,2,5,8,7,4,6,1]=>0000000=>0000000 [2,1,3,5,8,7,4,6]=>0110000=>0000110 [1,2,7,5,8,6,4,3]=>1100000=>0000011 [6,8,1,3,7,5,2,4]=>0000000=>0000000 [1,3,7,8,2,6,5,4]=>1000000=>0000001 [2,7,8,1,3,6,5,4]=>0000000=>0000000 [8,1,2,6,7,3,5,4]=>0000000=>0000000 [8,1,2,6,7,5,3,4]=>0000000=>0000000 [8,2,5,7,1,3,6,4]=>0000000=>0000000 [2,8,1,6,7,3,5,4]=>0000000=>0000000 [2,6,8,3,7,1,5,4]=>0000000=>0000000 [2,8,6,4,7,1,5,3]=>0000000=>0000000 [6,8,3,4,1,7,5,2]=>0000000=>0000000 [6,8,3,7,4,1,5,2]=>0000000=>0000000 [8,2,5,7,1,6,3,4]=>0000000=>0000000 [8,4,7,2,3,6,1,5]=>0000000=>0000000 [8,5,7,4,2,6,1,3]=>0000000=>0000000 [8,3,5,7,4,1,6,2]=>0000000=>0000000 [8,5,2,4,7,1,6,3]=>0000000=>0000000 [8,2,4,7,3,6,1,5]=>0000000=>0000000 [8,2,7,1,4,6,3,5]=>0000000=>0000000 [8,7,1,2,4,6,3,5]=>0000000=>0000000 [8,7,1,4,6,2,3,5]=>0000000=>0000000 [8,4,7,1,3,6,2,5]=>0000000=>0000000 [8,3,5,7,1,2,6,4]=>0000000=>0000000 [5,8,7,1,3,6,2,4]=>0000000=>0000000 [8,5,4,7,1,6,2,3]=>0000000=>0000000 [8,5,4,7,1,2,6,3]=>0000000=>0000000 [8,5,1,4,7,2,6,3]=>0000000=>0000000 [8,5,6,3,1,7,4,2]=>0000000=>0000000 [1,8,4,5,7,2,6,3]=>1000000=>0000001 [5,8,7,3,6,1,2,4]=>0000000=>0000000 [8,3,5,7,1,6,2,4]=>0000000=>0000000 [1,6,8,3,7,5,2,4]=>1000000=>0000001 [6,3,8,2,7,5,1,4]=>0000000=>0000000 [8,6,4,7,3,1,5,2]=>0000000=>0000000 [8,4,5,7,3,1,6,2]=>0000000=>0000000 [8,3,4,7,2,6,1,5]=>0000000=>0000000 [8,7,1,3,4,6,2,5]=>0000000=>0000000 [8,3,7,2,4,6,1,5]=>0000000=>0000000 [2,8,4,5,7,1,6,3]=>0000000=>0000000 [8,7,3,4,5,1,6,2]=>0000000=>0000000 [8,7,4,5,2,6,1,3]=>0000000=>0000000 [8,7,2,3,4,6,1,5]=>0000000=>0000000 [8,6,5,1,3,2,7,4]=>0000000=>0000000 [8,6,3,1,7,2,4,5]=>0000000=>0000000 [8,7,3,1,5,2,4,6]=>0000000=>0000000 [8,6,1,2,4,7,3,5]=>0000000=>0000000 [8,6,1,5,3,4,7,2]=>0000000=>0000000 [8,6,1,5,2,4,7,3]=>0000000=>0000000 [8,6,1,2,5,7,3,4]=>0000000=>0000000 [5,1,4,2,3,8,6,7]=>0000100=>0010000 [5,1,4,2,7,3,6,8]=>0000001=>1000000 [5,7,8,1,2,4,6,3]=>0000000=>0000000 [5,7,8,1,3,4,6,2]=>0000000=>0000000 [5,8,1,7,3,4,6,2]=>0000000=>0000000 [8,1,5,7,2,4,6,3]=>0000000=>0000000 [1,4,2,3,8,7,5,6]=>1001000=>0001001 [1,4,2,7,6,3,5,8]=>1000001=>1000001 [6,1,2,8,7,5,3,4]=>0000000=>0000000 [6,1,2,4,8,7,5,3]=>0000000=>0000000 [3,1,8,4,6,7,5,2]=>0000000=>0000000 [3,1,7,6,4,8,5,2]=>0000000=>0000000 [7,1,2,4,6,8,5,3]=>0000000=>0000000 [7,1,2,6,8,5,3,4]=>0000000=>0000000 [7,1,5,3,2,8,6,4]=>0000000=>0000000 [8,1,7,5,3,2,6,4]=>0000000=>0000000 [8,3,7,1,2,6,4,5]=>0000000=>0000000 [3,1,2,8,4,7,5,6]=>0010000=>0000100 [1,4,2,3,8,6,5,7]=>1001000=>0001001 [1,4,2,3,8,5,7,6]=>1001000=>0001001 [5,8,1,7,2,4,6,3]=>0000000=>0000000 [5,8,1,3,4,7,6,2]=>0000000=>0000000 [3,1,8,6,4,7,5,2]=>0000000=>0000000 [8,1,2,6,7,4,5,3]=>0000000=>0000000 [1,2,3,5,8,4,7,6]=>1110000=>0000111 [1,2,3,5,8,6,4,7]=>1110000=>0000111 [7,1,2,8,3,6,5,4]=>0000000=>0000000 [7,1,2,8,6,4,5,3]=>0000000=>0000000 [3,1,7,8,4,6,5,2]=>0000000=>0000000 [8,1,2,7,4,6,5,3]=>0000000=>0000000 [8,1,2,7,3,6,5,4]=>0000000=>0000000 [1,2,3,6,8,5,4,7]=>1110000=>0000111 [5,4,8,3,2,7,6,1]=>0000000=>0000000 [2,1,5,8,4,7,6,3]=>0100000=>0000010 [8,3,2,6,7,5,4,1]=>0000000=>0000000 [8,4,5,3,2,7,6,1]=>0000000=>0000000 [8,4,6,3,7,5,2,1]=>0000000=>0000000 [3,6,2,8,7,5,4,1]=>0000000=>0000000 [1,6,4,8,2,5,3,7]=>1000000=>0000001 [1,6,5,8,2,4,3,7]=>1000000=>0000001 [1,6,8,2,4,3,7,5]=>1000000=>0000001 [1,6,2,4,3,7,8,5]=>1000000=>0000001 [1,5,6,2,4,7,3,8]=>1000001=>1000001 [1,5,6,2,4,7,8,3]=>1000000=>0000001 [1,6,7,2,4,3,8,5]=>1000000=>0000001 [1,5,8,2,4,6,7,3]=>1000000=>0000001 [1,5,7,8,3,2,4,6]=>1000000=>0000001 [1,5,8,3,2,4,6,7]=>1000000=>0000001 [1,5,6,2,4,8,3,7]=>1000000=>0000001 [1,7,3,4,2,8,6,5]=>1000000=>0000001 [1,5,6,2,4,8,7,3]=>1000000=>0000001 [1,5,8,7,3,2,4,6]=>1000000=>0000001 [1,7,4,2,8,6,5,3]=>1000000=>0000001 [1,5,8,3,2,4,7,6]=>1000000=>0000001 [1,6,5,2,3,7,4,8]=>1000001=>1000001 [1,6,5,2,3,7,8,4]=>1000000=>0000001 [1,6,8,4,2,3,7,5]=>1000000=>0000001 [1,6,8,5,2,3,7,4]=>1000000=>0000001 [1,6,4,2,3,7,5,8]=>1000001=>1000001 [1,5,8,6,2,4,7,3]=>1000000=>0000001 [1,7,5,2,8,6,4,3]=>1000000=>0000001 [3,7,5,6,1,4,8,2]=>0000000=>0000000 [8,6,1,4,2,7,5,3]=>0000000=>0000000 [1,6,7,4,3,5,8,2]=>1000000=>0000001 [6,7,1,4,3,5,8,2]=>0000000=>0000000 [4,7,1,6,3,5,8,2]=>0000000=>0000000 [3,1,4,7,6,5,8,2]=>0000000=>0000000 [6,1,7,4,3,5,8,2]=>0000000=>0000000 [7,1,6,4,3,5,8,2]=>0000000=>0000000 [1,7,6,4,3,5,8,2]=>1000000=>0000001 [8,1,6,4,2,7,5,3]=>0000000=>0000000 [4,7,1,3,8,2,5,6]=>0000000=>0000000 [7,4,1,3,8,2,5,6]=>0000000=>0000000 [1,3,6,4,2,8,5,7]=>1000000=>0000001 [4,7,3,1,2,8,5,6]=>0000000=>0000000 [4,7,8,1,2,6,5,3]=>0000000=>0000000 [1,8,6,4,2,7,5,3]=>1000000=>0000001 [4,8,1,3,7,2,5,6]=>0000000=>0000000 [8,7,1,3,6,2,5,4]=>0000000=>0000000 [1,8,4,3,7,2,5,6]=>1000000=>0000001 [3,7,4,6,8,2,1,5]=>0000000=>0000000 [2,4,3,7,8,6,1,5]=>0000000=>0000000 [1,4,7,3,8,2,5,6]=>1000000=>0000001 [5,7,6,8,3,2,1,4]=>0000000=>0000000 [6,1,4,3,8,2,5,7]=>0000000=>0000000 [4,1,7,3,8,2,5,6]=>0000000=>0000000 [8,1,4,3,7,2,5,6]=>0000000=>0000000 [4,2,3,7,8,6,1,5]=>0000000=>0000000 [2,7,5,6,3,8,1,4]=>0000000=>0000000 [5,7,2,6,8,4,1,3]=>0000000=>0000000 [7,2,5,6,8,4,1,3]=>0000000=>0000000 [5,2,3,8,7,6,1,4]=>0000000=>0000000 [8,2,3,7,5,6,1,4]=>0000000=>0000000 [6,1,8,3,7,2,5,4]=>0000000=>0000000 [1,7,8,4,2,6,5,3]=>1000000=>0000001 [4,7,1,8,2,5,6,3]=>0000000=>0000000 [1,4,8,3,6,2,5,7]=>1000000=>0000001 [3,7,5,8,6,2,1,4]=>0000000=>0000000 [3,7,8,6,5,2,1,4]=>0000000=>0000000 [6,8,7,5,3,2,1,4]=>0000000=>0000000 [5,7,6,8,3,4,1,2]=>0000000=>0000000 [3,7,6,8,4,5,1,2]=>0000000=>0000000 [1,5,4,7,6,8,2,3]=>1000000=>0000001 [1,7,4,6,5,8,2,3]=>1000000=>0000001 [3,7,4,6,5,8,1,2]=>0000000=>0000000 [3,5,4,8,6,7,1,2]=>0000000=>0000000 [3,8,4,6,5,7,1,2]=>0000000=>0000000 [3,6,4,7,5,8,1,2]=>0000000=>0000000 [1,6,2,7,5,8,3,4]=>1000000=>0000001 [1,6,4,8,5,7,2,3]=>1000000=>0000001 [1,8,4,6,5,7,2,3]=>1000000=>0000001 [1,5,4,8,6,7,2,3]=>1000000=>0000001 [7,8,1,5,4,6,2,3]=>0000000=>0000000 [1,8,2,6,5,7,3,4]=>1000000=>0000001 [1,7,2,8,5,6,3,4]=>1000000=>0000001 [1,7,2,6,5,8,3,4]=>1000000=>0000001 [1,5,2,7,6,8,3,4]=>1000000=>0000001 [1,7,6,8,2,5,3,4]=>1000000=>0000001 [1,7,6,8,4,5,2,3]=>1000000=>0000001 [7,8,5,6,1,3,2,4]=>0000000=>0000000 [5,8,6,7,1,3,2,4]=>0000000=>0000000 [1,3,2,7,6,8,4,5]=>1010000=>0000101 [1,7,6,8,2,4,3,5]=>1000000=>0000001 [1,3,2,8,6,7,4,5]=>1010000=>0000101 [7,8,1,3,2,6,4,5]=>0000000=>0000000 [7,8,1,6,2,4,3,5]=>0000000=>0000000 [1,8,6,7,2,4,3,5]=>1000000=>0000001 [7,8,1,4,2,6,3,5]=>0000000=>0000000 [8,4,7,5,2,6,1,3]=>0000000=>0000000 [5,4,6,8,2,1,7,3]=>0000000=>0000000 [4,8,7,5,6,1,3,2]=>0000000=>0000000 [3,2,6,8,5,7,1,4]=>0000000=>0000000 [7,4,8,6,5,2,1,3]=>0000000=>0000000 [2,5,3,7,4,1,8,6]=>0000000=>0000000 [4,2,8,7,3,5,6,1]=>0000000=>0000000 [2,6,3,5,8,7,1,4]=>0000000=>0000000 [8,1,6,4,7,3,2,5]=>0000000=>0000000 [4,8,7,5,6,1,2,3]=>0000000=>0000000 [6,1,4,8,7,3,5,2]=>0000000=>0000000 [2,8,3,7,1,5,6,4]=>0000000=>0000000 [4,1,6,5,8,2,3,7]=>0000000=>0000000 [8,3,6,1,4,5,2,7]=>0000000=>0000000 [2,8,6,1,7,4,5,3]=>0000000=>0000000 [1,8,5,2,3,6,7,4]=>1000000=>0000001 [4,8,3,2,5,6,7,1]=>0000000=>0000000 [2,1,8,3,5,6,7,4]=>0100000=>0000010 [4,2,7,1,8,6,3,5]=>0000000=>0000000 [3,8,4,1,2,6,7,5]=>0000000=>0000000 [7,6,1,5,8,2,3,4]=>0000000=>0000000 [4,2,1,8,5,6,7,3]=>0000000=>0000000 [6,5,4,8,7,1,3,2]=>0000000=>0000000 [6,5,4,8,1,2,7,3]=>0000000=>0000000 [7,5,1,6,8,2,4,3]=>0000000=>0000000 [6,5,4,1,8,2,7,3]=>0000000=>0000000 [6,5,4,7,1,2,8,3]=>0000000=>0000000 [6,5,4,7,8,1,3,2]=>0000000=>0000000 [6,5,3,7,1,4,2,8]=>0000001=>1000000 [7,5,1,4,8,3,2,6]=>0000000=>0000000 [8,1,6,4,7,3,5,2]=>0000000=>0000000 [7,5,1,4,8,3,6,2]=>0000000=>0000000 [7,4,1,5,3,8,6,2]=>0000000=>0000000 [8,1,5,4,3,7,6,2]=>0000000=>0000000 [8,1,5,4,3,7,2,6]=>0000000=>0000000 [6,5,3,8,1,4,2,7]=>0000000=>0000000 [8,1,7,2,5,4,6,3]=>0000000=>0000000 [7,6,1,2,5,4,8,3]=>0000000=>0000000 [6,5,3,8,1,4,7,2]=>0000000=>0000000 [6,5,3,1,2,7,8,4]=>0000000=>0000000 [8,1,6,4,2,5,7,3]=>0000000=>0000000 [8,1,5,4,3,2,7,6]=>0000000=>0000000 [7,4,1,5,3,2,8,6]=>0000000=>0000000 [6,4,3,1,5,2,8,7]=>0000010=>0100000 [6,4,3,1,5,7,2,8]=>0000001=>1000000 [7,4,1,5,3,6,2,8]=>0000001=>1000000 [6,4,3,1,5,7,8,2]=>0000000=>0000000 [7,1,5,8,4,6,2,3]=>0000000=>0000000 [8,6,7,1,4,2,5,3]=>0000000=>0000000 [8,6,3,7,5,1,2,4]=>0000000=>0000000 [8,6,1,7,3,2,5,4]=>0000000=>0000000 [7,6,1,8,3,5,2,4]=>0000000=>0000000 [7,6,1,3,8,5,2,4]=>0000000=>0000000 [7,6,8,2,4,5,1,3]=>0000000=>0000000 [7,6,2,8,3,5,1,4]=>0000000=>0000000 [8,7,1,5,2,6,3,4]=>0000000=>0000000 [8,7,1,5,2,3,6,4]=>0000000=>0000000 [8,5,2,3,1,7,6,4]=>0000000=>0000000 [8,6,2,3,7,1,5,4]=>0000000=>0000000 [8,6,2,7,3,1,5,4]=>0000000=>0000000 [8,6,7,2,4,1,5,3]=>0000000=>0000000 [6,8,7,3,4,1,5,2]=>0000000=>0000000 [8,7,2,5,1,6,3,4]=>0000000=>0000000 [8,7,2,1,4,6,3,5]=>0000000=>0000000 [8,4,2,1,7,6,3,5]=>0000000=>0000000 [8,5,2,7,1,6,3,4]=>0000000=>0000000 [8,5,7,2,1,4,3,6]=>0000000=>0000000 [5,8,7,3,1,4,2,6]=>0000000=>0000000 [8,5,7,2,1,4,6,3]=>0000000=>0000000 [8,5,2,7,1,3,6,4]=>0000000=>0000000 [8,7,4,1,2,3,6,5]=>0000000=>0000000 [8,7,4,1,2,6,3,5]=>0000000=>0000000 [8,4,3,1,7,2,6,5]=>0000000=>0000000 [8,4,3,1,2,7,6,5]=>0000000=>0000000 [8,6,1,3,7,2,5,4]=>0000000=>0000000 [8,5,1,3,2,7,6,4]=>0000000=>0000000 [8,5,7,4,1,6,2,3]=>0000000=>0000000 [8,5,7,4,1,2,6,3]=>0000000=>0000000 [8,1,5,4,2,7,6,3]=>0000000=>0000000 [8,1,6,4,7,2,5,3]=>0000000=>0000000 [6,1,5,8,4,2,7,3]=>0000000=>0000000 [5,8,3,6,4,1,2,7]=>0000000=>0000000 [8,4,7,5,1,6,2,3]=>0000000=>0000000 [8,4,7,5,1,2,6,3]=>0000000=>0000000 [8,4,7,5,1,2,3,6]=>0000000=>0000000 [8,3,2,6,5,1,4,7]=>0000000=>0000000 [4,8,6,3,5,1,2,7]=>0000000=>0000000 [4,8,7,3,1,5,2,6]=>0000000=>0000000 [8,4,7,2,1,5,3,6]=>0000000=>0000000 [8,3,2,7,1,5,4,6]=>0000000=>0000000 [8,3,2,1,7,6,4,5]=>0000000=>0000000 [8,7,3,1,6,2,4,5]=>0000000=>0000000 [8,7,3,1,2,4,6,5]=>0000000=>0000000 [8,3,2,1,7,4,6,5]=>0000000=>0000000 [8,4,7,2,1,5,6,3]=>0000000=>0000000 [8,7,2,1,3,6,4,5]=>0000000=>0000000 [8,7,2,1,3,4,6,5]=>0000000=>0000000 [1,2,7,3,5,4,8,6]=>1100000=>0000011 [1,5,7,2,3,6,4,8]=>1000001=>1000001 [1,3,8,2,4,5,7,6]=>1000000=>0000001 [1,2,3,8,4,6,7,5]=>1110000=>0000111 [1,7,8,2,3,6,4,5]=>1000000=>0000001 [1,6,7,8,2,3,5,4]=>1000000=>0000001 [1,7,8,2,5,3,6,4]=>1000000=>0000001 [1,8,2,3,6,4,5,7]=>1000000=>0000001 [1,2,7,8,3,6,4,5]=>1100000=>0000011 [1,5,2,7,8,3,6,4]=>1000000=>0000001 [1,3,2,8,4,6,7,5]=>1010000=>0000101 [1,8,2,3,4,6,7,5]=>1000000=>0000001 [1,7,8,2,4,3,6,5]=>1000000=>0000001 [6,7,3,1,5,2,8,4]=>0000000=>0000000 [7,3,6,1,5,2,4,8]=>0000001=>1000000 [6,2,1,7,5,3,8,4]=>0000000=>0000000 [4,6,5,7,8,1,2,3]=>0000000=>0000000 [5,7,4,6,1,8,2,3]=>0000000=>0000000 [5,7,3,1,6,8,2,4]=>0000000=>0000000 [2,5,4,7,3,6,1,8]=>0000001=>1000000 [4,2,7,3,6,5,1,8]=>0000001=>1000000 [4,2,6,3,1,5,8,7]=>0000010=>0100000 [2,5,3,1,6,4,8,7]=>0000010=>0100000 [2,5,3,7,6,4,1,8]=>0000001=>1000000 [2,6,5,3,7,4,1,8]=>0000001=>1000000 [4,2,7,6,3,5,1,8]=>0000001=>1000000 [2,7,5,3,6,4,1,8]=>0000001=>1000000 [2,6,3,7,5,4,1,8]=>0000001=>1000000 [1,7,5,2,3,8,4,6]=>1000000=>0000001 [2,1,3,7,5,4,8,6]=>0110000=>0000110 [2,3,1,8,6,5,4,7]=>0010000=>0000100 [2,5,3,1,8,6,4,7]=>0000000=>0000000 [4,2,8,3,1,6,5,7]=>0000000=>0000000 [8,3,2,6,4,1,5,7]=>0000000=>0000000 [3,6,8,2,1,4,5,7]=>0000000=>0000000 [1,2,6,3,8,7,4,5]=>1100000=>0000011 [1,2,7,6,3,4,8,5]=>1100000=>0000011 [2,1,3,8,7,5,4,6]=>0110000=>0000110 [1,2,3,8,6,4,7,5]=>1110000=>0000111 [1,2,3,7,4,8,6,5]=>1110000=>0000111 [1,2,7,6,3,8,4,5]=>1100000=>0000011 [1,2,3,6,4,8,7,5]=>1110000=>0000111 [1,2,3,7,6,4,8,5]=>1110000=>0000111 [2,1,3,8,5,4,7,6]=>0110000=>0000110 [7,1,8,4,2,3,5,6]=>0000000=>0000000 [4,2,6,3,1,8,5,7]=>0000000=>0000000 [5,4,2,8,3,1,6,7]=>0000000=>0000000 [2,5,4,8,3,1,6,7]=>0000000=>0000000 [1,8,7,4,2,3,5,6]=>1000000=>0000001 [1,5,2,8,7,3,4,6]=>1000000=>0000001 [1,2,7,3,6,4,8,5]=>1100000=>0000011 [1,2,8,6,3,7,4,5]=>1100000=>0000011 [1,2,6,3,8,4,7,5]=>1100000=>0000011 [4,2,1,8,3,7,5,6]=>0000000=>0000000 [8,3,2,1,7,4,5,6]=>0000000=>0000000 [1,2,3,8,7,4,6,5]=>1110000=>0000111 [1,2,3,8,7,6,4,5]=>1110000=>0000111 [2,6,5,7,1,4,3,8]=>0000001=>1000000 [2,6,5,7,1,3,8,4]=>0000000=>0000000 [3,8,5,7,1,2,6,4]=>0000000=>0000000 [3,8,5,7,2,6,4,1]=>0000000=>0000000 [3,4,8,6,2,5,7,1]=>0000000=>0000000 [3,4,8,6,1,2,5,7]=>0000000=>0000000 [2,5,7,1,4,8,6,3]=>0000000=>0000000 [2,8,1,7,5,6,4,3]=>0000000=>0000000 [2,3,8,1,6,5,7,4]=>0000000=>0000000 [3,5,7,6,1,2,4,8]=>0000001=>1000000 [4,8,6,7,2,3,5,1]=>0000000=>0000000 [4,8,6,7,1,3,5,2]=>0000000=>0000000 [3,4,8,6,1,5,7,2]=>0000000=>0000000 [3,8,5,7,1,6,4,2]=>0000000=>0000000 [3,8,5,7,2,1,6,4]=>0000000=>0000000 [3,4,8,6,2,1,5,7]=>0000000=>0000000 [3,5,7,6,2,1,4,8]=>0000001=>1000000 [5,8,6,7,3,4,2,1]=>0000000=>0000000 [5,8,6,7,2,1,3,4]=>0000000=>0000000 [4,8,6,7,2,1,5,3]=>0000000=>0000000 [4,3,1,7,5,2,8,6]=>0000000=>0000000 [4,3,2,8,5,1,7,6]=>0000000=>0000000 [4,3,8,5,1,6,7,2]=>0000000=>0000000 [5,8,6,7,2,3,4,1]=>0000000=>0000000 [5,8,6,7,2,4,3,1]=>0000000=>0000000 [5,8,6,7,1,2,4,3]=>0000000=>0000000 [3,2,5,7,6,1,4,8]=>0000001=>1000000 [4,8,6,7,1,3,2,5]=>0000000=>0000000 [4,8,6,7,1,2,5,3]=>0000000=>0000000 [4,8,6,7,2,5,3,1]=>0000000=>0000000 [4,3,8,5,2,6,7,1]=>0000000=>0000000 [4,2,6,7,5,1,3,8]=>0000001=>1000000 [3,8,4,7,1,5,2,6]=>0000000=>0000000 [3,5,1,7,4,6,2,8]=>0000001=>1000000 [3,8,4,7,2,5,1,6]=>0000000=>0000000 [4,1,3,8,5,2,6,7]=>0000000=>0000000 [4,2,6,7,5,3,8,1]=>0000000=>0000000 [4,8,6,7,3,2,5,1]=>0000000=>0000000 [4,8,6,7,3,1,2,5]=>0000000=>0000000 [3,1,5,7,6,2,4,8]=>0000001=>1000000 [3,4,1,7,5,6,2,8]=>0000001=>1000000 [4,1,7,5,2,8,6,3]=>0000000=>0000000 [4,1,6,7,5,2,3,8]=>0000001=>1000000 [5,8,6,7,3,2,4,1]=>0000000=>0000000 [5,8,6,7,4,2,3,1]=>0000000=>0000000 [5,8,6,7,4,1,2,3]=>0000000=>0000000 [5,8,6,7,4,1,3,2]=>0000000=>0000000 [5,8,6,7,3,1,4,2]=>0000000=>0000000 [4,8,6,7,3,1,5,2]=>0000000=>0000000 [4,1,6,7,5,3,8,2]=>0000000=>0000000 [4,1,7,5,3,2,8,6]=>0000000=>0000000 [4,2,8,5,3,1,7,6]=>0000000=>0000000 [4,2,1,6,7,5,3,8]=>0000001=>1000000 [4,8,6,7,3,2,1,5]=>0000000=>0000000 [5,8,6,7,4,2,1,3]=>0000000=>0000000 [5,8,6,7,4,3,1,2]=>0000000=>0000000 [2,7,1,5,8,6,3,4]=>0000000=>0000000 [2,4,7,1,8,5,6,3]=>0000000=>0000000 [4,7,5,8,3,1,6,2]=>0000000=>0000000 [7,3,5,8,6,2,1,4]=>0000000=>0000000 [1,2,7,6,8,3,5,4]=>1100000=>0000011 [6,7,4,1,8,5,3,2]=>0000000=>0000000 [7,2,6,8,5,4,1,3]=>0000000=>0000000 [6,7,3,1,8,5,4,2]=>0000000=>0000000 [6,7,1,8,5,4,3,2]=>0000000=>0000000 [7,8,4,2,1,6,5,3]=>0000000=>0000000 [6,2,3,4,8,7,1,5]=>0000000=>0000000 [6,2,3,4,7,8,1,5]=>0000000=>0000000 [7,8,3,6,4,2,1,5]=>0000000=>0000000 [7,8,3,5,6,2,1,4]=>0000000=>0000000 [5,2,6,3,8,1,7,4]=>0000000=>0000000 [6,3,2,5,8,7,1,4]=>0000000=>0000000 [6,3,2,8,4,7,1,5]=>0000000=>0000000 [6,4,3,8,7,5,1,2]=>0000000=>0000000 [6,4,3,7,8,5,1,2]=>0000000=>0000000 [6,3,2,7,4,8,1,5]=>0000000=>0000000 [6,3,2,5,7,8,1,4]=>0000000=>0000000 [5,8,2,3,6,1,7,4]=>0000000=>0000000 [4,5,6,8,3,2,1,7]=>0000000=>0000000 [4,6,8,5,3,2,1,7]=>0000000=>0000000 [5,6,1,4,2,3,7,8]=>0000011=>1100000 [5,6,8,4,3,7,1,2]=>0000000=>0000000 [5,6,1,4,2,3,8,7]=>0000010=>0100000 [5,2,8,3,4,1,7,6]=>0000000=>0000000 [4,5,8,6,3,2,1,7]=>0000000=>0000000 [4,7,5,6,3,2,1,8]=>0000001=>1000000 [5,1,4,3,6,2,8,7]=>0000010=>0100000 [5,1,4,3,8,2,7,6]=>0000000=>0000000 [5,6,2,4,1,8,7,3]=>0000000=>0000000 [5,7,2,4,1,8,6,3]=>0000000=>0000000 [6,1,4,2,8,7,5,3]=>0000000=>0000000 [5,8,2,4,1,7,6,3]=>0000000=>0000000 [5,4,1,3,7,2,6,8]=>0000001=>1000000 [5,8,1,4,2,3,7,6]=>0000000=>0000000 [5,1,6,3,4,2,7,8]=>0000011=>1100000 [4,8,6,5,3,2,1,7]=>0000000=>0000000 [5,4,7,8,3,2,1,6]=>0000000=>0000000 [4,7,8,5,3,2,1,6]=>0000000=>0000000 [5,7,1,3,4,2,6,8]=>0000001=>1000000 [5,1,8,4,2,3,6,7]=>0000000=>0000000 [5,1,7,4,2,3,6,8]=>0000001=>1000000 [5,8,1,3,4,2,6,7]=>0000000=>0000000 [4,8,7,5,3,2,1,6]=>0000000=>0000000 [4,7,8,6,3,2,1,5]=>0000000=>0000000 [4,8,7,6,3,1,2,5]=>0000000=>0000000 [1,4,3,8,2,6,5,7]=>1000000=>0000001 [4,1,3,8,2,6,5,7]=>0000000=>0000000 [3,6,7,8,4,1,2,5]=>0000000=>0000000 [3,7,8,2,6,4,5,1]=>0000000=>0000000 [4,2,3,8,1,6,5,7]=>0000000=>0000000 [7,3,6,8,4,2,1,5]=>0000000=>0000000 [1,3,2,4,8,6,5,7]=>1011000=>0001101 [3,1,2,4,8,6,5,7]=>0011000=>0001100 [3,7,4,8,5,1,2,6]=>0000000=>0000000 [2,1,3,4,8,6,5,7]=>0111000=>0001110 [3,5,7,8,6,1,2,4]=>0000000=>0000000 [5,1,6,3,8,4,7,2]=>0000000=>0000000 [2,5,1,6,8,3,7,4]=>0000000=>0000000 [5,1,2,6,8,3,7,4]=>0000000=>0000000 [6,1,7,5,2,8,3,4]=>0000000=>0000000 [5,7,2,8,6,1,3,4]=>0000000=>0000000 [1,2,6,7,5,8,3,4]=>1100000=>0000011 [1,6,7,4,5,2,8,3]=>1000000=>0000001 [6,2,7,4,5,1,8,3]=>0000000=>0000000 [7,5,1,6,3,8,2,4]=>0000000=>0000000 [2,7,6,1,3,8,5,4]=>0000000=>0000000 [2,6,7,4,1,8,3,5]=>0000000=>0000000 [2,1,6,7,3,8,5,4]=>0100000=>0000010 [3,7,5,4,8,1,6,2]=>0000000=>0000000 [4,6,1,5,8,7,3,2]=>0000000=>0000000 [8,3,4,6,2,1,5,7]=>0000000=>0000000 [3,5,6,2,1,8,4,7]=>0000000=>0000000 [7,5,3,2,8,4,1,6]=>0000000=>0000000 [7,5,3,2,8,4,6,1]=>0000000=>0000000 [4,2,5,6,8,3,1,7]=>0000000=>0000000 [5,3,6,8,1,4,2,7]=>0000000=>0000000 [4,5,6,8,1,3,2,7]=>0000000=>0000000 [1,4,5,6,8,3,2,7]=>1000000=>0000001 [4,5,3,7,2,8,6,1]=>0000000=>0000000 [6,4,7,3,2,8,5,1]=>0000000=>0000000 [6,1,4,7,3,2,8,5]=>0000000=>0000000 [5,1,7,3,8,4,2,6]=>0000000=>0000000 [5,3,7,1,4,8,6,2]=>0000000=>0000000 [6,4,3,1,7,8,5,2]=>0000000=>0000000 [5,6,1,3,7,8,4,2]=>0000000=>0000000 [5,6,1,7,8,3,4,2]=>0000000=>0000000 [1,6,3,7,4,8,5,2]=>1000000=>0000001 [6,7,2,4,1,8,5,3]=>0000000=>0000000 [6,7,2,1,4,3,8,5]=>0000000=>0000000 [6,4,7,3,1,2,8,5]=>0000000=>0000000 [5,6,3,1,2,7,8,4]=>0000000=>0000000 [5,6,1,3,2,7,8,4]=>0000000=>0000000 [5,6,3,2,1,7,8,4]=>0000000=>0000000 [5,6,3,2,7,8,4,1]=>0000000=>0000000 [2,5,6,3,7,8,4,1]=>0000000=>0000000 [2,5,6,3,1,7,8,4]=>0000000=>0000000 [2,6,4,7,3,1,8,5]=>0000000=>0000000 [6,3,7,2,8,4,1,5]=>0000000=>0000000 [6,3,2,7,1,8,4,5]=>0000000=>0000000 [7,5,3,2,1,8,4,6]=>0000000=>0000000 [7,3,8,4,2,1,5,6]=>0000000=>0000000 [4,7,2,1,3,8,6,5]=>0000000=>0000000 [1,3,7,8,6,4,2,5]=>1000000=>0000001 [5,7,3,8,2,1,6,4]=>0000000=>0000000 [4,6,2,7,8,5,3,1]=>0000000=>0000000 [2,5,1,7,3,8,6,4]=>0000000=>0000000 [6,7,2,1,3,8,5,4]=>0000000=>0000000 [5,1,6,7,8,2,4,3]=>0000000=>0000000 [6,3,7,1,8,5,2,4]=>0000000=>0000000 [6,2,1,7,3,8,5,4]=>0000000=>0000000 [6,2,7,1,8,5,4,3]=>0000000=>0000000 [6,3,1,7,8,5,4,2]=>0000000=>0000000 [5,3,2,1,8,4,7,6]=>0000000=>0000000 [4,5,2,1,3,8,7,6]=>0000100=>0010000 [3,2,6,4,5,8,1,7]=>0000000=>0000000 [2,4,6,5,8,1,3,7]=>0000000=>0000000 [1,3,4,6,5,8,2,7]=>1000000=>0000001 [1,6,3,4,5,8,2,7]=>1000000=>0000001 [3,4,1,8,5,2,7,6]=>0000000=>0000000 [2,8,4,1,7,6,3,5]=>0000000=>0000000 [1,5,3,2,8,7,4,6]=>1000000=>0000001 [8,2,1,7,5,3,4,6]=>0000000=>0000000 [1,7,6,4,5,8,3,2]=>1000000=>0000001 [5,8,7,4,6,2,1,3]=>0000000=>0000000 [3,4,2,5,8,6,7,1]=>0000000=>0000000 [4,1,3,5,6,8,7,2]=>0000000=>0000000 [2,4,8,6,7,1,3,5]=>0000000=>0000000 [3,7,4,8,2,1,6,5]=>0000000=>0000000 [2,3,5,8,6,7,1,4]=>0000000=>0000000 [3,2,5,6,8,7,1,4]=>0000000=>0000000 [7,2,4,8,5,3,1,6]=>0000000=>0000000 [4,8,3,1,2,7,6,5]=>0000000=>0000000 [8,4,2,3,7,1,5,6]=>0000000=>0000000 [3,5,2,7,6,1,8,4]=>0000000=>0000000 [5,8,7,3,4,6,2,1]=>0000000=>0000000 [5,8,2,7,4,1,6,3]=>0000000=>0000000 [5,1,4,2,8,7,6,3]=>0000000=>0000000 [5,2,6,8,7,1,3,4]=>0000000=>0000000 [6,3,2,1,8,5,7,4]=>0000000=>0000000 [2,7,5,4,1,8,6,3]=>0000000=>0000000 [4,2,5,6,8,7,1,3]=>0000000=>0000000 [1,8,4,2,5,6,7,3]=>1000000=>0000001 [3,8,4,1,5,6,7,2]=>0000000=>0000000 [4,2,8,5,6,7,1,3]=>0000000=>0000000 [5,2,4,7,1,8,6,3]=>0000000=>0000000 [8,1,3,6,5,2,4,7]=>0000000=>0000000 [8,3,2,4,6,5,1,7]=>0000000=>0000000 [8,3,6,4,1,5,2,7]=>0000000=>0000000 [1,3,4,8,5,7,2,6]=>1000000=>0000001 [5,8,4,7,6,2,3,1]=>0000000=>0000000 [1,3,4,7,5,8,2,6]=>1000000=>0000001 [1,3,5,2,4,8,7,6]=>1000100=>0010001 [2,6,5,1,3,8,7,4]=>0000000=>0000000 [2,8,5,1,4,7,6,3]=>0000000=>0000000 [4,3,1,5,8,6,7,2]=>0000000=>0000000 [5,4,2,1,6,8,7,3]=>0000000=>0000000 [6,8,4,3,2,7,1,5]=>0000000=>0000000 [5,1,3,2,8,6,7,4]=>0000000=>0000000 [5,3,1,2,8,6,7,4]=>0000000=>0000000 [5,2,3,1,6,8,7,4]=>0000000=>0000000 [5,3,2,1,8,6,7,4]=>0000000=>0000000 [5,2,1,3,6,8,7,4]=>0000000=>0000000 [2,7,4,5,8,3,1,6]=>0000000=>0000000 [1,8,4,3,7,2,6,5]=>1000000=>0000001 [3,4,8,7,2,1,6,5]=>0000000=>0000000 [5,4,7,8,3,6,2,1]=>0000000=>0000000 [6,3,8,7,4,1,2,5]=>0000000=>0000000 [8,4,7,2,3,1,5,6]=>0000000=>0000000 [8,6,4,1,3,2,7,5]=>0000000=>0000000 [3,5,7,2,6,1,8,4]=>0000000=>0000000 [6,1,3,8,5,7,2,4]=>0000000=>0000000 [2,8,1,5,4,7,6,3]=>0000000=>0000000 [1,7,2,4,6,5,8,3]=>1000000=>0000001 [5,8,2,6,1,3,7,4]=>0000000=>0000000 [6,3,5,8,7,2,1,4]=>0000000=>0000000 [2,5,7,8,4,1,6,3]=>0000000=>0000000 [4,1,5,2,6,8,7,3]=>0000000=>0000000 [4,1,8,5,2,6,7,3]=>0000000=>0000000 [2,7,1,8,5,4,6,3]=>0000000=>0000000 [5,8,6,2,1,3,7,4]=>0000000=>0000000 [3,4,5,1,8,6,7,2]=>0000000=>0000000 [5,1,3,6,4,8,7,2]=>0000000=>0000000 [1,3,2,7,5,8,6,4]=>1010000=>0000101 [1,4,2,5,8,3,7,6]=>1000000=>0000001 [1,4,2,7,8,5,6,3]=>1000000=>0000001 [5,1,2,6,8,4,7,3]=>0000000=>0000000 [3,1,2,6,5,8,4,7]=>0010000=>0000100 [4,1,2,6,8,5,3,7]=>0000000=>0000000 [1,5,2,4,8,7,6,3]=>1000000=>0000001 [1,2,7,4,8,6,5,3]=>1100000=>0000011 [1,3,2,7,5,8,4,6]=>1010000=>0000101 [2,3,1,7,5,4,8,6]=>0010000=>0000100 [1,3,2,8,5,7,4,6]=>1010000=>0000101 [1,2,6,4,8,7,3,5]=>1100000=>0000011 [1,2,6,8,5,7,3,4]=>1100000=>0000011 [1,5,6,8,2,7,3,4]=>1000000=>0000001 [1,3,8,2,6,7,4,5]=>1000000=>0000001 [1,4,7,2,8,6,3,5]=>1000000=>0000001 [1,6,7,8,2,5,3,4]=>1000000=>0000001 [1,2,6,8,3,7,5,4]=>1100000=>0000011 [1,5,7,8,2,3,6,4]=>1000000=>0000001 [1,4,7,2,8,3,6,5]=>1000000=>0000001 [1,6,7,3,4,8,5,2]=>1000000=>0000001 [1,5,3,7,4,8,6,2]=>1000000=>0000001 [1,3,6,4,2,8,7,5]=>1000000=>0000001 [1,3,7,4,2,8,6,5]=>1000000=>0000001 [1,2,8,4,7,3,6,5]=>1100000=>0000011 [1,5,2,4,8,3,7,6]=>1000000=>0000001 [1,8,4,5,7,2,3,6]=>1000000=>0000001 [1,8,3,5,2,7,4,6]=>1000000=>0000001 [2,8,3,5,1,4,7,6]=>0000000=>0000000 [2,3,8,6,1,4,7,5]=>0000000=>0000000 [1,4,8,6,7,2,3,5]=>1000000=>0000001 [1,5,6,8,7,2,3,4]=>1000000=>0000001 [1,2,7,8,5,3,6,4]=>1100000=>0000011 [1,2,5,8,7,3,6,4]=>1100000=>0000011 [1,2,6,8,7,3,5,4]=>1100000=>0000011 [1,2,7,8,6,3,5,4]=>1100000=>0000011 [1,5,7,8,6,2,3,4]=>1000000=>0000001 [1,3,7,6,2,8,4,5]=>1000000=>0000001 [1,2,8,4,7,6,3,5]=>1100000=>0000011 [1,2,5,8,7,6,3,4]=>1100000=>0000011 [1,2,6,8,7,5,3,4]=>1100000=>0000011 [1,2,7,8,6,5,3,4]=>1100000=>0000011 [5,2,6,7,3,4,8,1]=>0000000=>0000000 [5,6,2,1,7,8,3,4]=>0000000=>0000000 [5,6,2,1,4,8,7,3]=>0000000=>0000000 [2,6,1,4,5,8,7,3]=>0000000=>0000000 [5,4,2,7,6,3,8,1]=>0000000=>0000000 [2,3,7,6,4,5,8,1]=>0000000=>0000000 [2,6,1,7,5,8,3,4]=>0000000=>0000000 [5,1,2,7,8,4,3,6]=>0000000=>0000000 [2,6,1,7,4,8,3,5]=>0000000=>0000000 [3,6,4,1,7,8,2,5]=>0000000=>0000000 [5,4,6,1,7,8,2,3]=>0000000=>0000000 [5,4,6,1,3,8,7,2]=>0000000=>0000000 [3,6,4,1,5,8,7,2]=>0000000=>0000000 [2,6,1,5,4,8,7,3]=>0000000=>0000000 [2,6,1,4,7,8,5,3]=>0000000=>0000000 [5,1,2,4,8,7,6,3]=>0000000=>0000000 [2,1,5,3,8,6,4,7]=>0100000=>0000010 [5,1,2,4,8,6,3,7]=>0000000=>0000000 [5,6,3,1,4,8,2,7]=>0000000=>0000000 [2,5,4,3,1,8,6,7]=>0000100=>0010000 [5,4,6,3,1,8,7,2]=>0000000=>0000000 [2,1,3,7,8,6,4,5]=>0110000=>0000110 [5,1,4,2,8,6,7,3]=>0000000=>0000000 [1,2,3,8,6,7,4,5]=>1110000=>0000111 [1,2,3,8,7,5,4,6]=>1110000=>0000111 [1,2,3,8,7,4,5,6]=>1110000=>0000111 [2,1,3,6,8,7,4,5]=>0110000=>0000110 [3,1,6,2,8,7,5,4]=>0000000=>0000000 [6,8,1,3,2,5,4,7]=>0000000=>0000000 [6,8,1,4,2,5,3,7]=>0000000=>0000000 [7,8,3,6,1,4,2,5]=>0000000=>0000000 [7,8,2,5,1,4,3,6]=>0000000=>0000000 [7,8,1,4,3,6,2,5]=>0000000=>0000000 [5,8,1,4,3,7,2,6]=>0000000=>0000000 [6,8,2,5,1,4,3,7]=>0000000=>0000000 [6,8,2,5,3,7,1,4]=>0000000=>0000000 [2,5,4,7,6,8,1,3]=>0000000=>0000000 [2,6,1,4,3,7,5,8]=>0000001=>1000000 [2,6,1,5,3,7,4,8]=>0000001=>1000000 [2,6,4,7,5,8,1,3]=>0000000=>0000000 [5,8,2,6,4,7,1,3]=>0000000=>0000000 [6,8,3,7,1,4,2,5]=>0000000=>0000000 [5,8,1,3,2,6,4,7]=>0000000=>0000000 [5,8,4,7,1,3,2,6]=>0000000=>0000000 [6,8,4,7,1,3,2,5]=>0000000=>0000000 [6,8,5,7,1,3,2,4]=>0000000=>0000000 [5,7,6,8,2,4,1,3]=>0000000=>0000000 [4,7,5,8,1,3,2,6]=>0000000=>0000000 [4,7,1,3,2,6,5,8]=>0000001=>1000000 [3,7,1,4,2,6,5,8]=>0000001=>1000000 [3,7,6,8,1,4,2,5]=>0000000=>0000000 [4,7,6,8,2,5,1,3]=>0000000=>0000000 [4,7,5,8,3,6,1,2]=>0000000=>0000000 [4,7,5,8,2,6,1,3]=>0000000=>0000000 [3,7,4,8,2,6,1,5]=>0000000=>0000000 [3,7,1,5,2,6,4,8]=>0000001=>1000000 [3,7,2,6,1,5,4,8]=>0000001=>1000000 [3,7,2,6,5,8,1,4]=>0000000=>0000000 [4,7,3,6,5,8,1,2]=>0000000=>0000000 [2,6,5,8,4,7,1,3]=>0000000=>0000000 [2,6,3,7,1,5,4,8]=>0000001=>1000000 [7,6,4,8,5,2,3,1]=>0000000=>0000000 [6,7,4,3,5,1,8,2]=>0000000=>0000000 [6,7,3,5,4,8,2,1]=>0000000=>0000000 [6,8,3,7,5,2,4,1]=>0000000=>0000000 [7,6,3,5,8,2,4,1]=>0000000=>0000000 [7,6,2,8,4,1,5,3]=>0000000=>0000000 [7,6,3,4,8,2,5,1]=>0000000=>0000000 [6,8,3,7,4,5,2,1]=>0000000=>0000000 [6,7,3,5,8,4,2,1]=>0000000=>0000000 [5,7,8,3,6,2,1,4]=>0000000=>0000000 [6,3,4,8,7,2,5,1]=>0000000=>0000000 [6,3,8,4,7,2,1,5]=>0000000=>0000000 [6,3,4,7,5,8,2,1]=>0000000=>0000000 [6,3,5,7,8,4,2,1]=>0000000=>0000000 [5,7,3,6,8,2,1,4]=>0000000=>0000000 [5,6,7,3,4,1,8,2]=>0000000=>0000000 [4,6,7,8,3,5,2,1]=>0000000=>0000000 [4,7,3,5,6,8,2,1]=>0000000=>0000000 [5,3,4,7,8,2,1,6]=>0000000=>0000000 [5,3,8,2,4,1,6,7]=>0000000=>0000000 [5,3,4,8,2,6,1,7]=>0000000=>0000000 [4,8,3,6,2,5,7,1]=>0000000=>0000000 [4,8,3,5,7,2,6,1]=>0000000=>0000000 [4,8,3,5,6,7,2,1]=>0000000=>0000000 [4,7,8,3,5,6,2,1]=>0000000=>0000000 [4,7,8,3,6,2,5,1]=>0000000=>0000000 [4,8,3,6,7,2,5,1]=>0000000=>0000000 [4,8,3,7,2,5,6,1]=>0000000=>0000000 [5,8,3,7,2,6,4,1]=>0000000=>0000000 [5,7,3,4,8,2,1,6]=>0000000=>0000000 [5,8,4,2,3,1,6,7]=>0000000=>0000000 [5,8,4,2,3,1,7,6]=>0000000=>0000000 [6,4,8,5,3,7,2,1]=>0000000=>0000000 [6,4,2,7,3,1,8,5]=>0000000=>0000000 [6,4,3,7,8,5,2,1]=>0000000=>0000000 [6,4,5,3,7,1,8,2]=>0000000=>0000000 [5,7,4,2,3,1,6,8]=>0000001=>1000000 [5,6,3,7,1,8,2,4]=>0000000=>0000000 [5,6,3,4,8,2,1,7]=>0000000=>0000000 [6,3,5,7,4,8,2,1]=>0000000=>0000000 [6,3,5,4,7,8,2,1]=>0000000=>0000000 [6,4,3,5,7,1,8,2]=>0000000=>0000000 [6,4,2,5,1,7,3,8]=>0000001=>1000000 [5,3,4,7,2,6,1,8]=>0000001=>1000000 [4,7,3,6,2,5,8,1]=>0000000=>0000000 [4,7,3,6,8,2,5,1]=>0000000=>0000000 [4,6,7,3,5,8,2,1]=>0000000=>0000000 [4,5,7,8,3,6,2,1]=>0000000=>0000000 [4,5,8,3,7,2,6,1]=>0000000=>0000000 [5,3,4,6,8,2,1,7]=>0000000=>0000000 [5,3,6,7,1,8,2,4]=>0000000=>0000000 [5,3,4,6,7,1,8,2]=>0000000=>0000000 [4,6,3,5,7,8,2,1]=>0000000=>0000000 [4,5,7,3,6,8,2,1]=>0000000=>0000000 [7,1,4,5,8,2,3,6]=>0000000=>0000000 [2,1,7,5,8,3,4,6]=>0100000=>0000010 [7,1,5,4,8,2,3,6]=>0000000=>0000000 [8,3,7,1,2,4,6,5]=>0000000=>0000000 [8,3,7,5,1,2,4,6]=>0000000=>0000000 [6,7,1,8,4,2,3,5]=>0000000=>0000000 [6,8,1,7,4,2,3,5]=>0000000=>0000000 [7,1,8,4,5,2,3,6]=>0000000=>0000000 [6,1,2,3,8,7,5,4]=>0000000=>0000000 [6,8,3,1,2,7,4,5]=>0000000=>0000000 [6,7,3,1,2,8,4,5]=>0000000=>0000000 [6,7,1,4,2,3,8,5]=>0000000=>0000000 [4,3,6,8,5,7,1,2]=>0000000=>0000000 [6,1,2,5,4,8,3,7]=>0000000=>0000000 [1,3,6,8,7,4,2,5]=>1000000=>0000001 [1,2,8,5,7,3,4,6]=>1100000=>0000011 [3,6,1,4,2,7,8,5]=>0000000=>0000000 [1,2,6,3,5,8,7,4]=>1100000=>0000011 [2,3,5,1,8,4,7,6]=>0000000=>0000000 [3,1,7,5,4,8,6,2]=>0000000=>0000000 [1,2,7,6,4,8,5,3]=>1100000=>0000011 [1,2,7,3,6,8,5,4]=>1100000=>0000011 [1,2,6,8,5,4,3,7]=>1100000=>0000011 [1,4,6,8,3,2,5,7]=>1000000=>0000001 [1,2,6,7,3,8,5,4]=>1100000=>0000011 [1,2,5,7,3,8,6,4]=>1100000=>0000011 [4,6,2,7,5,8,3,1]=>0000000=>0000000 [3,5,7,4,8,2,6,1]=>0000000=>0000000 [1,3,5,8,2,7,4,6]=>1000000=>0000001 [1,2,5,8,4,7,6,3]=>1100000=>0000011 [1,2,5,8,7,4,3,6]=>1100000=>0000011 [1,3,5,8,7,2,4,6]=>1000000=>0000001 [3,2,7,4,6,8,1,5]=>0000000=>0000000 [5,3,6,2,7,1,4,8]=>0000001=>1000000 [2,6,3,4,7,1,5,8]=>0000001=>1000000 [2,7,3,4,5,8,1,6]=>0000000=>0000000 [4,7,6,2,3,8,1,5]=>0000000=>0000000 [7,3,5,2,4,8,1,6]=>0000000=>0000000 [7,6,2,4,5,8,1,3]=>0000000=>0000000 [6,5,2,3,4,8,1,7]=>0000000=>0000000 [5,3,1,2,8,4,7,6]=>0000000=>0000000 [6,5,2,3,7,1,4,8]=>0000001=>1000000 [5,2,1,7,3,4,6,8]=>0000001=>1000000 [5,2,1,8,3,4,6,7]=>0000000=>0000000 [6,3,2,8,4,5,7,1]=>0000000=>0000000 [7,3,1,2,8,4,6,5]=>0000000=>0000000 [6,2,3,1,8,4,7,5]=>0000000=>0000000 [8,3,5,2,7,1,4,6]=>0000000=>0000000 [8,6,2,4,7,1,5,3]=>0000000=>0000000 [8,2,1,7,3,4,5,6]=>0000000=>0000000 [8,6,3,7,2,4,5,1]=>0000000=>0000000 [8,2,7,3,4,5,6,1]=>0000000=>0000000 [8,1,6,2,3,4,5,7]=>0000000=>0000000 [8,1,7,3,4,5,6,2]=>0000000=>0000000 [8,6,1,7,2,4,5,3]=>0000000=>0000000 [1,7,5,8,2,3,6,4]=>1000000=>0000001 [7,2,1,8,3,4,5,6]=>0000000=>0000000 [1,7,8,3,4,5,6,2]=>1000000=>0000001 [1,6,2,8,4,5,7,3]=>1000000=>0000001 [4,1,3,6,8,2,7,5]=>0000000=>0000000 [4,6,3,8,7,1,2,5]=>0000000=>0000000 [6,4,5,8,7,1,2,3]=>0000000=>0000000 [5,3,4,8,7,1,2,6]=>0000000=>0000000 [3,2,8,7,1,4,6,5]=>0000000=>0000000 [3,1,8,7,2,4,6,5]=>0000000=>0000000 [5,3,7,6,1,2,4,8]=>0000001=>1000000 [1,8,3,7,2,4,5,6]=>1000000=>0000001 [3,8,1,7,2,4,5,6]=>0000000=>0000000 [6,8,2,3,5,1,4,7]=>0000000=>0000000 [4,7,8,2,6,1,3,5]=>0000000=>0000000 [6,2,8,7,1,4,5,3]=>0000000=>0000000 [3,8,7,1,4,5,6,2]=>0000000=>0000000 [2,8,6,1,3,4,5,7]=>0000000=>0000000 [2,7,6,1,3,4,5,8]=>0000001=>1000000 [1,7,6,2,3,4,5,8]=>1000001=>1000001 [1,8,6,2,3,4,5,7]=>1000000=>0000001 [2,8,7,3,4,5,6,1]=>0000000=>0000000 [3,8,7,2,4,5,6,1]=>0000000=>0000000 [7,8,3,6,2,4,5,1]=>0000000=>0000000 [1,5,8,7,2,3,6,4]=>1000000=>0000001 [7,8,10,9,5,6,3,4,1,2]=>000000000=>000000000 [9,10,5,6,8,7,3,4,1,2]=>000000000=>000000000 [5,8,10,6,9,7,3,4,1,2]=>000000000=>000000000 [5,6,7,10,9,8,3,4,1,2]=>000000000=>000000000 [9,10,7,8,3,4,6,5,1,2]=>000000000=>000000000 [7,8,10,9,3,4,6,5,1,2]=>000000000=>000000000 [9,10,3,6,8,4,7,5,1,2]=>000000000=>000000000 [3,8,10,6,9,4,7,5,1,2]=>000000000=>000000000 [3,6,7,10,9,4,8,5,1,2]=>000000000=>000000000 [9,10,3,4,5,8,7,6,1,2]=>000000000=>000000000 [3,8,10,4,5,9,7,6,1,2]=>000000000=>000000000 [3,4,7,10,5,9,8,6,1,2]=>000000000=>000000000 [3,4,5,6,10,9,8,7,1,2]=>000000000=>000000000 [9,10,7,8,5,6,1,2,4,3]=>000000000=>000000000 [7,8,10,9,5,6,1,2,4,3]=>000000000=>000000000 [9,10,5,6,8,7,1,2,4,3]=>000000000=>000000000 [5,8,10,6,9,7,1,2,4,3]=>000000000=>000000000 [5,6,7,10,9,8,1,2,4,3]=>000000000=>000000000 [9,10,7,8,1,4,6,2,5,3]=>000000000=>000000000 [7,8,10,9,1,4,6,2,5,3]=>000000000=>000000000 [9,10,1,6,8,4,7,2,5,3]=>000000000=>000000000 [1,8,10,6,9,4,7,2,5,3]=>100000000=>000000001 [1,6,7,10,9,4,8,2,5,3]=>100000000=>000000001 [9,10,1,4,5,8,7,2,6,3]=>000000000=>000000000 [1,8,10,4,5,9,7,2,6,3]=>100000000=>000000001 [1,4,7,10,5,9,8,2,6,3]=>100000000=>000000001 [1,4,5,6,10,9,8,2,7,3]=>100000000=>000000001 [9,10,7,8,1,2,3,6,5,4]=>000000000=>000000000 [7,8,10,9,1,2,3,6,5,4]=>000000000=>000000000 [9,10,1,6,8,2,3,7,5,4]=>000000000=>000000000 [1,8,10,6,9,2,3,7,5,4]=>100000000=>000000001 [1,6,7,10,9,2,3,8,5,4]=>100000000=>000000001 [9,10,1,2,5,8,3,7,6,4]=>000000000=>000000000 [1,8,10,2,5,9,3,7,6,4]=>100000000=>000000001 [1,2,7,10,5,9,3,8,6,4]=>110000000=>000000011 [1,2,5,6,10,9,3,8,7,4]=>110000000=>000000011 [9,10,1,2,3,4,8,7,6,5]=>000000000=>000000000 [1,8,10,2,3,4,9,7,6,5]=>100000000=>000000001 [1,2,7,10,3,4,9,8,6,5]=>110000000=>000000011 [1,2,3,6,10,4,9,8,7,5]=>111000000=>000000111 [9,10,12,11,7,8,5,6,3,4,1,2]=>00000000000=>00000000000 [11,12,7,8,10,9,5,6,3,4,1,2]=>00000000000=>00000000000 [7,10,12,8,11,9,5,6,3,4,1,2]=>00000000000=>00000000000 [7,8,9,12,11,10,5,6,3,4,1,2]=>00000000000=>00000000000 [11,12,9,10,5,6,8,7,3,4,1,2]=>00000000000=>00000000000 [9,10,12,11,5,6,8,7,3,4,1,2]=>00000000000=>00000000000 [11,12,5,8,10,6,9,7,3,4,1,2]=>00000000000=>00000000000 [5,10,12,8,11,6,9,7,3,4,1,2]=>00000000000=>00000000000 [5,8,9,12,11,6,10,7,3,4,1,2]=>00000000000=>00000000000 [11,12,5,6,7,10,9,8,3,4,1,2]=>00000000000=>00000000000 [5,10,12,6,7,11,9,8,3,4,1,2]=>00000000000=>00000000000 [5,6,9,12,7,11,10,8,3,4,1,2]=>00000000000=>00000000000 [5,6,7,8,12,11,10,9,3,4,1,2]=>00000000000=>00000000000 [11,12,9,10,7,8,3,4,6,5,1,2]=>00000000000=>00000000000 [9,10,12,11,7,8,3,4,6,5,1,2]=>00000000000=>00000000000 [11,12,7,8,10,9,3,4,6,5,1,2]=>00000000000=>00000000000 [7,10,12,8,11,9,3,4,6,5,1,2]=>00000000000=>00000000000 [7,8,9,12,11,10,3,4,6,5,1,2]=>00000000000=>00000000000 [11,12,9,10,3,6,8,4,7,5,1,2]=>00000000000=>00000000000 [9,10,12,11,3,6,8,4,7,5,1,2]=>00000000000=>00000000000 [11,12,3,8,10,6,9,4,7,5,1,2]=>00000000000=>00000000000 [3,10,12,8,11,6,9,4,7,5,1,2]=>00000000000=>00000000000 [3,8,9,12,11,6,10,4,7,5,1,2]=>00000000000=>00000000000 [11,12,3,6,7,10,9,4,8,5,1,2]=>00000000000=>00000000000 [3,10,12,6,7,11,9,4,8,5,1,2]=>00000000000=>00000000000 [3,6,9,12,7,11,10,4,8,5,1,2]=>00000000000=>00000000000 [3,6,7,8,12,11,10,4,9,5,1,2]=>00000000000=>00000000000 [11,12,9,10,3,4,5,8,7,6,1,2]=>00000000000=>00000000000 [9,10,12,11,3,4,5,8,7,6,1,2]=>00000000000=>00000000000 [11,12,3,8,10,4,5,9,7,6,1,2]=>00000000000=>00000000000 [3,10,12,8,11,4,5,9,7,6,1,2]=>00000000000=>00000000000 [3,8,9,12,11,4,5,10,7,6,1,2]=>00000000000=>00000000000 [11,12,3,4,7,10,5,9,8,6,1,2]=>00000000000=>00000000000 [3,10,12,4,7,11,5,9,8,6,1,2]=>00000000000=>00000000000 [3,4,9,12,7,11,5,10,8,6,1,2]=>00000000000=>00000000000 [3,4,7,8,12,11,5,10,9,6,1,2]=>00000000000=>00000000000 [11,12,3,4,5,6,10,9,8,7,1,2]=>00000000000=>00000000000 [3,10,12,4,5,6,11,9,8,7,1,2]=>00000000000=>00000000000 [3,4,9,12,5,6,11,10,8,7,1,2]=>00000000000=>00000000000 [3,4,5,8,12,6,11,10,9,7,1,2]=>00000000000=>00000000000 [3,4,5,6,7,12,11,10,9,8,1,2]=>00000000000=>00000000000 [11,12,9,10,7,8,5,6,1,2,4,3]=>00000000000=>00000000000 [9,10,12,11,7,8,5,6,1,2,4,3]=>00000000000=>00000000000 [11,12,7,8,10,9,5,6,1,2,4,3]=>00000000000=>00000000000 [7,10,12,8,11,9,5,6,1,2,4,3]=>00000000000=>00000000000 [7,8,9,12,11,10,5,6,1,2,4,3]=>00000000000=>00000000000 [11,12,9,10,5,6,8,7,1,2,4,3]=>00000000000=>00000000000 [9,10,12,11,5,6,8,7,1,2,4,3]=>00000000000=>00000000000 [11,12,5,8,10,6,9,7,1,2,4,3]=>00000000000=>00000000000 [5,10,12,8,11,6,9,7,1,2,4,3]=>00000000000=>00000000000 [5,8,9,12,11,6,10,7,1,2,4,3]=>00000000000=>00000000000 [11,12,5,6,7,10,9,8,1,2,4,3]=>00000000000=>00000000000 [5,10,12,6,7,11,9,8,1,2,4,3]=>00000000000=>00000000000 [5,6,9,12,7,11,10,8,1,2,4,3]=>00000000000=>00000000000 [5,6,7,8,12,11,10,9,1,2,4,3]=>00000000000=>00000000000 [11,12,9,10,7,8,1,4,6,2,5,3]=>00000000000=>00000000000 [9,10,12,11,7,8,1,4,6,2,5,3]=>00000000000=>00000000000 [11,12,7,8,10,9,1,4,6,2,5,3]=>00000000000=>00000000000 [7,10,12,8,11,9,1,4,6,2,5,3]=>00000000000=>00000000000 [7,8,9,12,11,10,1,4,6,2,5,3]=>00000000000=>00000000000 [11,12,9,10,1,6,8,4,7,2,5,3]=>00000000000=>00000000000 [9,10,12,11,1,6,8,4,7,2,5,3]=>00000000000=>00000000000 [11,12,1,8,10,6,9,4,7,2,5,3]=>00000000000=>00000000000 [1,10,12,8,11,6,9,4,7,2,5,3]=>10000000000=>00000000001 [1,8,9,12,11,6,10,4,7,2,5,3]=>10000000000=>00000000001 [11,12,1,6,7,10,9,4,8,2,5,3]=>00000000000=>00000000000 [1,10,12,6,7,11,9,4,8,2,5,3]=>10000000000=>00000000001 [1,6,9,12,7,11,10,4,8,2,5,3]=>10000000000=>00000000001 [1,6,7,8,12,11,10,4,9,2,5,3]=>10000000000=>00000000001 [11,12,9,10,1,4,5,8,7,2,6,3]=>00000000000=>00000000000 [9,10,12,11,1,4,5,8,7,2,6,3]=>00000000000=>00000000000 [11,12,1,8,10,4,5,9,7,2,6,3]=>00000000000=>00000000000 [1,10,12,8,11,4,5,9,7,2,6,3]=>10000000000=>00000000001 [1,8,9,12,11,4,5,10,7,2,6,3]=>10000000000=>00000000001 [11,12,1,4,7,10,5,9,8,2,6,3]=>00000000000=>00000000000 [1,10,12,4,7,11,5,9,8,2,6,3]=>10000000000=>00000000001 [1,4,9,12,7,11,5,10,8,2,6,3]=>10000000000=>00000000001 [1,4,7,8,12,11,5,10,9,2,6,3]=>10000000000=>00000000001 [11,12,1,4,5,6,10,9,8,2,7,3]=>00000000000=>00000000000 [1,10,12,4,5,6,11,9,8,2,7,3]=>10000000000=>00000000001 [1,4,9,12,5,6,11,10,8,2,7,3]=>10000000000=>00000000001 [1,4,5,8,12,6,11,10,9,2,7,3]=>10000000000=>00000000001 [1,4,5,6,7,12,11,10,9,2,8,3]=>10000000000=>00000000001 [11,12,9,10,7,8,1,2,3,6,5,4]=>00000000000=>00000000000 [9,10,12,11,7,8,1,2,3,6,5,4]=>00000000000=>00000000000 [11,12,7,8,10,9,1,2,3,6,5,4]=>00000000000=>00000000000 [7,10,12,8,11,9,1,2,3,6,5,4]=>00000000000=>00000000000 [7,8,9,12,11,10,1,2,3,6,5,4]=>00000000000=>00000000000 [11,12,9,10,1,6,8,2,3,7,5,4]=>00000000000=>00000000000 [9,10,12,11,1,6,8,2,3,7,5,4]=>00000000000=>00000000000 [11,12,1,8,10,6,9,2,3,7,5,4]=>00000000000=>00000000000 [1,10,12,8,11,6,9,2,3,7,5,4]=>10000000000=>00000000001 [1,8,9,12,11,6,10,2,3,7,5,4]=>10000000000=>00000000001 [11,12,1,6,7,10,9,2,3,8,5,4]=>00000000000=>00000000000 [1,10,12,6,7,11,9,2,3,8,5,4]=>10000000000=>00000000001 [1,6,9,12,7,11,10,2,3,8,5,4]=>10000000000=>00000000001 [1,6,7,8,12,11,10,2,3,9,5,4]=>10000000000=>00000000001 [11,12,9,10,1,2,5,8,3,7,6,4]=>00000000000=>00000000000 [9,10,12,11,1,2,5,8,3,7,6,4]=>00000000000=>00000000000 [11,12,1,8,10,2,5,9,3,7,6,4]=>00000000000=>00000000000 [1,10,12,8,11,2,5,9,3,7,6,4]=>10000000000=>00000000001 [1,8,9,12,11,2,5,10,3,7,6,4]=>10000000000=>00000000001 [11,12,1,2,7,10,5,9,3,8,6,4]=>00000000000=>00000000000 [1,10,12,2,7,11,5,9,3,8,6,4]=>10000000000=>00000000001 [1,2,9,12,7,11,5,10,3,8,6,4]=>11000000000=>00000000011 [1,2,7,8,12,11,5,10,3,9,6,4]=>11000000000=>00000000011 [11,12,1,2,5,6,10,9,3,8,7,4]=>00000000000=>00000000000 [1,10,12,2,5,6,11,9,3,8,7,4]=>10000000000=>00000000001 [1,2,9,12,5,6,11,10,3,8,7,4]=>11000000000=>00000000011 [1,2,5,8,12,6,11,10,3,9,7,4]=>11000000000=>00000000011 [1,2,5,6,7,12,11,10,3,9,8,4]=>11000000000=>00000000011 [11,12,9,10,1,2,3,4,8,7,6,5]=>00000000000=>00000000000 [9,10,12,11,1,2,3,4,8,7,6,5]=>00000000000=>00000000000 [11,12,1,8,10,2,3,4,9,7,6,5]=>00000000000=>00000000000 [1,10,12,8,11,2,3,4,9,7,6,5]=>10000000000=>00000000001 [1,8,9,12,11,2,3,4,10,7,6,5]=>10000000000=>00000000001 [11,12,1,2,7,10,3,4,9,8,6,5]=>00000000000=>00000000000 [1,10,12,2,7,11,3,4,9,8,6,5]=>10000000000=>00000000001 [1,2,9,12,7,11,3,4,10,8,6,5]=>11000000000=>00000000011 [1,2,7,8,12,11,3,4,10,9,6,5]=>11000000000=>00000000011 [11,12,1,2,3,6,10,4,9,8,7,5]=>00000000000=>00000000000 [1,10,12,2,3,6,11,4,9,8,7,5]=>10000000000=>00000000001 [1,2,9,12,3,6,11,4,10,8,7,5]=>11000000000=>00000000011 [11,12,1,2,3,4,5,10,9,8,7,6]=>00000000000=>00000000000 [1,10,12,2,3,4,5,11,9,8,7,6]=>10000000000=>00000000001 [1,2,9,12,3,4,5,11,10,8,7,6]=>11000000000=>00000000011 [1,2,3,4,5,6,12,11,10,9,8,7]=>11111100000=>00000111111 [1,7,3,6,5,2,8,4]=>1000000=>0000001 [8,6,2,5,4,1,7,3]=>0000000=>0000000 [3,2,6,4,7,5,1,8]=>0000001=>1000000 [6,2,3,7,5,4,1,8]=>0000001=>1000000 [1,3,4,7,6,2,8,5]=>1000000=>0000001 [2,8,3,6,1,7,5,4]=>0000000=>0000000 [8,7,2,5,1,6,4,3]=>0000000=>0000000 [3,8,2,6,5,1,7,4]=>0000000=>0000000 [7,8,2,5,4,1,6,3]=>0000000=>0000000 [4,8,5,2,6,1,7,3]=>0000000=>0000000 [4,5,1,3,7,2,8,6]=>0000000=>0000000 [6,1,3,7,5,2,8,4]=>0000000=>0000000 [7,1,3,6,2,8,5,4]=>0000000=>0000000 [8,1,3,6,2,7,5,4]=>0000000=>0000000 [1,2,4,7,3,8,6,5]=>1100000=>0000011 [7,1,8,2,6,5,4,3]=>0000000=>0000000 [4,1,7,8,2,6,5,3]=>0000000=>0000000 [3,4,8,6,5,1,7,2]=>0000000=>0000000 [8,3,7,5,1,6,4,2]=>0000000=>0000000 [1,4,8,6,2,7,5,3]=>1000000=>0000001 [8,4,6,7,1,5,3,2]=>0000000=>0000000 [3,4,6,5,1,2,8,7]=>0000010=>0100000 [7,3,5,1,2,8,6,4]=>0000000=>0000000 [1,4,6,2,3,8,7,5]=>1000000=>0000001 [1,3,2,7,4,8,6,5]=>1010000=>0000101 [7,2,1,6,3,8,5,4]=>0000000=>0000000 [4,5,2,1,7,3,8,6]=>0000000=>0000000 [5,6,7,1,2,8,4,3]=>0000000=>0000000 [4,7,5,1,2,8,6,3]=>0000000=>0000000 [3,7,1,6,2,8,5,4]=>0000000=>0000000 [7,6,1,2,8,5,4,3]=>0000000=>0000000 [2,7,1,3,8,6,5,4]=>0000000=>0000000 [8,6,1,2,7,5,4,3]=>0000000=>0000000 [1,7,2,3,8,6,5,4]=>1000000=>0000001 [8,7,1,2,6,5,4,3]=>0000000=>0000000 [7,8,1,2,6,5,4,3]=>0000000=>0000000 [3,8,1,6,2,7,5,4]=>0000000=>0000000 [4,8,5,1,2,7,6,3]=>0000000=>0000000 [1,8,2,7,4,3,5,6]=>1000000=>0000001 [1,8,6,4,7,2,3,5]=>1000000=>0000001 [1,8,4,2,6,3,5,7]=>1000000=>0000001 [7,4,8,1,5,2,3,6]=>0000000=>0000000 [4,1,7,2,6,3,5,8]=>0000001=>1000000 [5,1,7,4,3,6,2,8]=>0000001=>1000000 [1,8,5,4,3,7,2,6]=>1000000=>0000001 [1,8,4,2,5,3,7,6]=>1000000=>0000001 [1,8,5,4,2,6,7,3]=>1000000=>0000001 [7,4,8,2,1,3,5,6]=>0000000=>0000000 [4,1,7,3,2,5,6,8]=>0000001=>1000000 [7,5,4,8,2,3,6,1]=>0000000=>0000000 [3,1,7,2,6,8,4,5]=>0000000=>0000000 [5,1,7,4,2,6,8,3]=>0000000=>0000000 [4,3,1,6,2,5,7,8]=>0000011=>1100000 [6,5,4,3,7,1,8,2]=>0000000=>0000000 [6,5,1,7,3,8,2,4]=>0000000=>0000000 [6,3,2,8,5,7,1,4]=>0000000=>0000000 [5,4,8,2,1,7,3,6]=>0000000=>0000000 [7,2,8,6,3,1,4,5]=>0000000=>0000000 [2,1,7,8,3,6,4,5]=>0100000=>0000010 [4,2,1,6,7,3,5,8]=>0000001=>1000000 [4,3,1,5,2,7,6,8]=>0000101=>1010000 [5,4,2,7,3,8,1,6]=>0000000=>0000000 [3,1,6,2,8,7,4,5]=>0000000=>0000000 [6,5,4,1,7,8,3,2]=>0000000=>0000000 [5,4,3,1,6,7,2,8]=>0000001=>1000000 [5,4,2,6,3,8,7,1]=>0000000=>0000000 [4,3,1,5,2,6,8,7]=>0000110=>0110000 [5,4,2,1,6,7,8,3]=>0000000=>0000000 [5,4,3,1,6,7,8,2]=>0000000=>0000000 [7,8,2,4,5,1,3,6]=>0000000=>0000000 [4,6,7,2,5,1,3,8]=>0000001=>1000000 [7,8,1,3,2,4,5,6]=>0000000=>0000000 [7,8,4,1,5,2,3,6]=>0000000=>0000000 [3,6,7,2,1,4,5,8]=>0000001=>1000000 [5,2,3,6,1,4,7,8]=>0000011=>1100000 [2,5,3,6,1,4,7,8]=>0000011=>1100000 [6,4,7,1,5,2,3,8]=>0000001=>1000000 [6,2,7,3,1,4,5,8]=>0000001=>1000000 [3,5,4,6,7,8,1,2]=>0000000=>0000000 [1,5,4,6,7,2,3,8]=>1000001=>1000001 [1,6,7,3,2,4,5,8]=>1000001=>1000001 [1,5,3,6,2,4,7,8]=>1000011=>1100001 [5,1,3,6,2,4,7,8]=>0000011=>1100000 [5,2,4,6,7,1,3,8]=>0000001=>1000000 [2,6,7,4,5,1,3,8]=>0000001=>1000000 [4,2,5,6,7,1,3,8]=>0000001=>1000000 [4,5,2,6,7,1,3,8]=>0000001=>1000000 [5,3,1,6,2,4,7,8]=>0000011=>1100000 [6,1,7,3,2,4,5,8]=>0000001=>1000000 [6,1,7,4,5,2,3,8]=>0000001=>1000000 [6,3,7,4,5,8,1,2]=>0000000=>0000000 [5,4,1,6,7,2,3,8]=>0000001=>1000000 [5,2,1,6,3,4,7,8]=>0000011=>1100000 [1,3,6,7,5,2,8,4]=>1000000=>0000001 [1,3,4,5,8,7,2,6]=>1000000=>0000001 [3,1,2,5,6,8,7,4]=>0010000=>0000100 [7,1,5,2,6,8,3,4]=>0000000=>0000000 [2,3,6,7,5,1,8,4]=>0000000=>0000000 [4,3,2,6,7,1,8,5]=>0000000=>0000000 [7,1,5,4,6,8,3,2]=>0000000=>0000000 [5,7,4,6,1,8,3,2]=>0000000=>0000000 [6,3,4,5,8,1,2,7]=>0000000=>0000000 [6,2,1,7,3,5,4,8]=>0000001=>1000000 [2,1,8,6,3,5,4,7]=>0100000=>0000010 [2,7,3,1,5,4,6,8]=>0000001=>1000000 [2,6,3,1,4,8,5,7]=>0000000=>0000000 [4,2,1,8,3,6,7,5]=>0000000=>0000000 [6,2,1,7,3,5,8,4]=>0000000=>0000000 [2,7,3,1,4,8,5,6]=>0000000=>0000000 [3,2,1,5,7,8,4,6]=>0010000=>0000100 [2,4,7,5,1,6,8,3]=>0000000=>0000000 [4,3,6,8,5,1,7,2]=>0000000=>0000000 [2,1,6,8,3,7,4,5]=>0100000=>0000010 [3,2,1,5,6,8,4,7]=>0010000=>0000100 [2,1,7,3,6,4,5,8]=>0100001=>1000010 [2,1,6,3,5,8,4,7]=>0100000=>0000010 [2,6,1,8,3,5,4,7]=>0000000=>0000000 [2,7,3,1,5,6,4,8]=>0000001=>1000000 [2,4,7,5,1,6,3,8]=>0000001=>1000000 [8,2,4,1,7,5,3,6]=>0000000=>0000000 [2,4,7,1,8,5,3,6]=>0000000=>0000000 [2,4,8,5,1,6,3,7]=>0000000=>0000000 [6,2,1,7,3,4,8,5]=>0000000=>0000000 [6,2,1,7,8,3,5,4]=>0000000=>0000000 [2,7,1,8,3,5,6,4]=>0000000=>0000000 [3,2,1,6,7,4,5,8]=>0010001=>1000100 [3,2,1,7,4,5,6,8]=>0010001=>1000100 [2,1,8,3,7,4,5,6]=>0100000=>0000010 [2,4,8,5,1,6,7,3]=>0000000=>0000000 [4,3,8,5,6,1,7,2]=>0000000=>0000000 [3,2,1,8,4,5,6,7]=>0010000=>0000100 [1,6,8,3,7,2,4,5]=>1000000=>0000001 [3,8,1,5,7,2,4,6]=>0000000=>0000000 [1,2,6,8,4,7,3,5]=>1100000=>0000011 [6,1,5,8,2,4,7,3]=>0000000=>0000000 [1,2,4,8,3,6,7,5]=>1100000=>0000011 [4,1,2,7,8,3,6,5]=>0000000=>0000000 [5,3,8,4,7,6,1,2]=>0000000=>0000000 [8,7,1,2,5,4,6,3]=>0000000=>0000000 [5,8,1,2,3,7,6,4]=>0000000=>0000000 [1,2,8,4,3,5,7,6]=>1100000=>0000011 [1,2,5,3,7,6,4,8]=>1100001=>1000011 [6,1,2,8,7,4,5,3]=>0000000=>0000000 [7,1,6,2,8,4,5,3]=>0000000=>0000000 [1,2,6,3,8,5,4,7]=>1100000=>0000011 [1,2,8,5,3,6,4,7]=>1100000=>0000011 [1,2,7,3,8,5,4,6]=>1100000=>0000011 [1,6,2,8,4,3,5,7]=>1000000=>0000001 [1,6,4,2,7,3,5,8]=>1000001=>1000001 [1,8,6,3,2,4,5,7]=>1000000=>0000001 [3,1,7,8,6,2,4,5]=>0000000=>0000000 [1,8,7,3,5,6,2,4]=>1000000=>0000001 [1,3,2,8,7,4,5,6]=>1010000=>0000101 [1,2,8,4,3,7,5,6]=>1100000=>0000011 [8,5,1,7,2,4,6,3]=>0000000=>0000000 [3,8,6,4,7,5,1,2]=>0000000=>0000000 [6,1,8,2,7,4,5,3]=>0000000=>0000000 [1,2,7,5,3,6,4,8]=>1100001=>1000011 [1,2,6,3,7,5,4,8]=>1100001=>1000011 [1,2,3,7,5,4,8,6]=>1110000=>0000111 [3,7,4,8,6,5,1,2]=>0000000=>0000000 [1,8,2,7,6,4,5,3]=>1000000=>0000001 [7,4,6,3,8,5,1,2]=>0000000=>0000000 [8,4,6,2,7,5,3,1]=>0000000=>0000000 [6,5,7,8,4,1,3,2]=>0000000=>0000000 [7,5,6,8,2,4,1,3]=>0000000=>0000000 [7,4,6,2,8,5,1,3]=>0000000=>0000000 [4,3,2,6,8,5,1,7]=>0000000=>0000000 [3,5,6,8,2,4,1,7]=>0000000=>0000000 [2,6,7,8,1,4,5,3]=>0000000=>0000000 [3,6,7,8,1,4,2,5]=>0000000=>0000000 [3,5,7,8,2,1,4,6]=>0000000=>0000000 [2,6,7,8,1,4,3,5]=>0000000=>0000000 [2,5,7,8,3,1,4,6]=>0000000=>0000000 [2,4,7,3,8,1,5,6]=>0000000=>0000000 [6,4,7,3,8,1,5,2]=>0000000=>0000000 [6,4,7,3,8,1,2,5]=>0000000=>0000000 [7,4,6,3,8,2,1,5]=>0000000=>0000000 [6,3,2,5,4,8,1,7]=>0000000=>0000000 [6,4,5,2,3,8,1,7]=>0000000=>0000000 [5,4,6,3,8,2,1,7]=>0000000=>0000000 [5,4,7,3,8,1,6,2]=>0000000=>0000000 [2,5,7,8,3,1,6,4]=>0000000=>0000000 [4,5,7,8,3,1,2,6]=>0000000=>0000000 [4,5,6,8,2,3,1,7]=>0000000=>0000000 [5,4,6,2,8,3,1,7]=>0000000=>0000000 [5,3,2,6,8,4,1,7]=>0000000=>0000000 [5,4,7,2,8,1,3,6]=>0000000=>0000000 [4,5,7,8,2,1,3,6]=>0000000=>0000000 [4,6,7,8,1,3,2,5]=>0000000=>0000000 [4,6,7,8,1,3,5,2]=>0000000=>0000000 [2,6,7,8,1,3,5,4]=>0000000=>0000000 [2,6,7,8,1,5,3,4]=>0000000=>0000000 [4,6,7,8,1,5,2,3]=>0000000=>0000000 [4,6,7,8,1,2,5,3]=>0000000=>0000000 [5,3,2,7,8,1,6,4]=>0000000=>0000000 [4,3,2,7,8,1,6,5]=>0000000=>0000000 [3,5,7,8,2,1,6,4]=>0000000=>0000000 [3,6,7,8,1,5,4,2]=>0000000=>0000000 [2,6,7,8,1,5,4,3]=>0000000=>0000000 [4,5,8,3,6,7,1,2]=>0000000=>0000000 [4,5,8,3,7,6,1,2]=>0000000=>0000000 [4,2,8,3,7,1,6,5]=>0000000=>0000000 [7,2,3,4,8,1,5,6]=>0000000=>0000000 [7,6,3,4,8,5,1,2]=>0000000=>0000000 [7,6,3,5,8,4,1,2]=>0000000=>0000000 [7,6,3,8,4,5,1,2]=>0000000=>0000000 [7,2,3,8,5,1,4,6]=>0000000=>0000000 [2,6,4,8,1,5,7,3]=>0000000=>0000000 [7,2,3,8,4,1,5,6]=>0000000=>0000000 [7,8,2,3,6,1,4,5]=>0000000=>0000000 [4,2,6,3,7,1,5,8]=>0000001=>1000000 [7,2,3,5,8,1,6,4]=>0000000=>0000000 [7,2,3,8,4,1,6,5]=>0000000=>0000000 [2,6,4,8,1,3,7,5]=>0000000=>0000000 [3,6,4,8,1,7,5,2]=>0000000=>0000000 [7,6,5,1,2,3,8,4]=>0000000=>0000000 [7,6,5,1,4,2,8,3]=>0000000=>0000000 [7,8,5,4,1,2,6,3]=>0000000=>0000000 [3,5,6,4,1,2,8,7]=>0000010=>0100000 [7,6,5,1,2,4,3,8]=>0000001=>1000000 [7,6,5,1,2,4,8,3]=>0000000=>0000000 [7,6,5,1,3,2,4,8]=>0000001=>1000000 [2,6,4,3,1,8,7,5]=>0000000=>0000000 [3,5,8,4,1,2,7,6]=>0000000=>0000000 [3,5,8,4,1,2,6,7]=>0000000=>0000000 [3,5,8,4,1,6,2,7]=>0000000=>0000000 [2,5,8,4,1,7,3,6]=>0000000=>0000000 [3,6,4,2,1,7,5,8]=>0000001=>1000000 [3,5,6,4,1,8,7,2]=>0000000=>0000000 [2,6,4,5,1,3,7,8]=>0000011=>1100000 [7,6,5,1,4,3,8,2]=>0000000=>0000000 [7,6,5,1,2,8,3,4]=>0000000=>0000000 [7,6,5,1,8,2,4,3]=>0000000=>0000000 [7,6,5,1,8,2,3,4]=>0000000=>0000000 [7,6,5,1,8,3,2,4]=>0000000=>0000000 [7,6,5,1,4,8,2,3]=>0000000=>0000000 [3,6,4,5,1,7,2,8]=>0000001=>1000000 [2,5,6,4,1,7,8,3]=>0000000=>0000000 [2,5,6,4,1,7,3,8]=>0000001=>1000000 [3,6,4,5,1,7,8,2]=>0000000=>0000000 [7,6,5,1,4,8,3,2]=>0000000=>0000000 [7,6,5,1,8,3,4,2]=>0000000=>0000000 [7,6,5,1,8,4,2,3]=>0000000=>0000000 [6,7,4,2,5,3,1,8]=>0000001=>1000000 [7,6,4,8,3,1,5,2]=>0000000=>0000000 [7,4,8,5,6,1,3,2]=>0000000=>0000000 [7,4,2,5,6,3,1,8]=>0000001=>1000000 [4,2,7,5,6,3,1,8]=>0000001=>1000000 [4,7,3,5,6,2,1,8]=>0000001=>1000000 [1,6,8,5,2,7,4,3]=>1000000=>0000001 [6,2,8,5,1,7,4,3]=>0000000=>0000000 [6,7,4,8,2,1,5,3]=>0000000=>0000000 [3,2,7,8,6,1,5,4]=>0000000=>0000000 [6,8,4,1,2,3,7,5]=>0000000=>0000000 [1,8,2,5,6,4,3,7]=>1000000=>0000001 [6,1,8,5,3,7,4,2]=>0000000=>0000000 [3,8,1,5,2,7,6,4]=>0000000=>0000000 [8,2,1,5,3,7,6,4]=>0000000=>0000000 [8,1,6,5,3,7,2,4]=>0000000=>0000000 [7,1,4,6,3,2,8,5]=>0000000=>0000000 [3,2,6,4,1,7,8,5]=>0000000=>0000000 [7,6,4,3,1,2,8,5]=>0000000=>0000000 [8,6,3,5,1,7,2,4]=>0000000=>0000000 [4,5,3,1,6,7,8,2]=>0000000=>0000000 [3,5,2,1,6,7,8,4]=>0000000=>0000000 [5,2,3,1,6,7,8,4]=>0000000=>0000000 [1,5,3,2,6,7,8,4]=>1000000=>0000001 [8,2,7,5,6,1,3,4]=>0000000=>0000000 [1,7,4,6,2,3,8,5]=>1000000=>0000001 [7,6,4,2,1,5,8,3]=>0000000=>0000000 [5,7,4,6,1,3,8,2]=>0000000=>0000000 [8,6,4,7,3,1,2,5]=>0000000=>0000000 [5,2,4,3,7,1,8,6]=>0000000=>0000000 [8,6,4,1,3,5,2,7]=>0000000=>0000000 [6,7,4,1,5,3,8,2]=>0000000=>0000000 [7,5,4,1,2,6,8,3]=>0000000=>0000000 [1,8,2,5,3,7,6,4]=>1000000=>0000001 [3,8,1,5,6,4,2,7]=>0000000=>0000000 [7,6,4,1,5,2,8,3]=>0000000=>0000000 [8,6,1,5,4,7,2,3]=>0000000=>0000000 [5,2,1,4,6,7,8,3]=>0000000=>0000000 [5,4,1,3,6,7,8,2]=>0000000=>0000000 [8,4,1,5,3,7,2,6]=>0000000=>0000000 [7,5,4,1,3,2,8,6]=>0000000=>0000000 [3,2,5,1,4,7,8,6]=>0000100=>0010000 [5,1,3,4,6,7,8,2]=>0000000=>0000000 [5,7,4,1,8,6,3,2]=>0000000=>0000000 [3,6,7,4,5,8,2,1]=>0000000=>0000000 [5,4,6,1,7,8,3,2]=>0000000=>0000000 [3,7,1,5,4,6,8,2]=>0000000=>0000000 [6,7,1,4,5,3,8,2]=>0000000=>0000000 [5,4,7,2,8,3,6,1]=>0000000=>0000000 [3,8,1,5,4,6,2,7]=>0000000=>0000000 [3,6,1,5,4,2,7,8]=>0000011=>1100000 [3,6,1,5,4,8,2,7]=>0000000=>0000000 [3,4,1,2,6,8,7,5]=>0001000=>0001000 [3,8,1,5,4,7,2,6]=>0000000=>0000000 [7,8,3,1,4,6,2,5]=>0000000=>0000000 [6,5,8,7,3,4,2,1]=>0000000=>0000000 [3,7,1,5,4,2,6,8]=>0000001=>1000000 [3,8,1,5,4,2,7,6]=>0000000=>0000000 [6,7,3,1,4,5,8,2]=>0000000=>0000000 [2,5,6,1,4,7,8,3]=>0000000=>0000000 [1,8,4,5,2,7,3,6]=>1000000=>0000001 [1,8,4,5,2,7,6,3]=>1000000=>0000001 [1,8,4,3,6,2,5,7]=>1000000=>0000001 [2,7,6,4,8,5,3,1]=>0000000=>0000000 [1,8,4,5,2,6,3,7]=>1000000=>0000001 [7,3,5,8,4,6,2,1]=>0000000=>0000000 [8,2,1,3,5,7,4,6]=>0000000=>0000000 [7,5,4,1,3,8,2,6]=>0000000=>0000000 [7,3,8,5,4,1,2,6]=>0000000=>0000000 [1,7,2,3,5,8,4,6]=>1000000=>0000001 [3,5,2,6,7,1,8,4]=>0000000=>0000000 [3,2,8,4,7,5,1,6]=>0000000=>0000000 [6,8,3,1,7,2,4,5]=>0000000=>0000000 [2,7,5,3,8,4,1,6]=>0000000=>0000000 [8,3,2,1,5,7,4,6]=>0000000=>0000000 [1,2,8,3,5,7,4,6]=>1100000=>0000011 [6,5,1,7,4,2,8,3]=>0000000=>0000000 [7,3,6,4,8,2,1,5]=>0000000=>0000000 [4,6,1,7,3,5,2,8]=>0000001=>1000000 [5,6,1,7,3,4,2,8]=>0000001=>1000000 [6,1,7,3,4,2,8,5]=>0000000=>0000000 [7,3,8,1,6,5,2,4]=>0000000=>0000000 [8,3,7,1,6,5,2,4]=>0000000=>0000000 [2,8,1,7,6,5,3,4]=>0000000=>0000000 [4,2,8,6,5,1,7,3]=>0000000=>0000000 [8,6,4,7,1,5,2,3]=>0000000=>0000000 [7,6,4,8,1,5,2,3]=>0000000=>0000000 [5,1,6,4,2,3,8,7]=>0000010=>0100000 [4,2,3,8,7,5,1,6]=>0000000=>0000000 [3,8,7,1,6,5,2,4]=>0000000=>0000000 [2,4,3,8,1,6,7,5]=>0000000=>0000000 [2,4,3,7,1,6,8,5]=>0000000=>0000000 [4,2,3,7,8,5,1,6]=>0000000=>0000000 [5,1,6,4,2,3,7,8]=>0000011=>1100000 [6,4,7,8,1,5,2,3]=>0000000=>0000000 [8,7,4,6,1,5,2,3]=>0000000=>0000000 [6,5,7,8,1,4,2,3]=>0000000=>0000000 [4,7,8,6,1,5,2,3]=>0000000=>0000000 [3,2,4,8,7,1,5,6]=>0000000=>0000000 [4,8,7,6,1,5,2,3]=>0000000=>0000000 [5,8,7,6,1,4,2,3]=>0000000=>0000000 [8,6,5,7,1,4,2,3]=>0000000=>0000000 [5,1,6,7,4,2,3,8]=>0000001=>1000000 [6,7,4,8,1,5,2,3]=>0000000=>0000000 [8,4,7,6,1,5,2,3]=>0000000=>0000000 [8,3,2,4,7,1,5,6]=>0000000=>0000000 [7,3,2,4,8,1,5,6]=>0000000=>0000000 [2,5,3,7,1,6,4,8]=>0000001=>1000000 [8,4,6,7,1,5,2,3]=>0000000=>0000000 [5,1,6,8,4,2,3,7]=>0000000=>0000000 [4,2,3,7,5,1,6,8]=>0000001=>1000000 [2,4,3,7,1,6,5,8]=>0000001=>1000000 [2,4,7,1,5,8,6,3]=>0000000=>0000000 [3,2,4,7,6,1,5,8]=>0000001=>1000000 [4,7,6,8,1,5,2,3]=>0000000=>0000000 [8,5,6,7,1,4,2,3]=>0000000=>0000000 [8,6,7,5,1,4,2,3]=>0000000=>0000000 [6,8,7,5,1,4,2,3]=>0000000=>0000000 [5,6,8,7,1,4,2,3]=>0000000=>0000000 [4,6,8,7,1,5,2,3]=>0000000=>0000000 [3,2,4,6,1,5,7,8]=>0000011=>1100000 [6,7,8,5,1,4,2,3]=>0000000=>0000000 [7,8,6,5,1,4,2,3]=>0000000=>0000000 [2,1,8,5,4,6,3,7]=>0100000=>0000010 [4,1,8,5,2,3,6,7]=>0000000=>0000000 [5,4,1,3,6,7,2,8]=>0000001=>1000000 [8,4,1,2,6,3,7,5]=>0000000=>0000000 [8,2,7,1,5,3,4,6]=>0000000=>0000000 [3,2,7,1,5,8,4,6]=>0000000=>0000000 [7,3,8,1,5,4,2,6]=>0000000=>0000000 [7,1,5,3,8,4,2,6]=>0000000=>0000000 [3,6,8,1,5,4,2,7]=>0000000=>0000000 [6,8,3,1,5,4,2,7]=>0000000=>0000000 [7,6,3,1,5,4,2,8]=>0000001=>1000000 [3,6,2,1,5,8,4,7]=>0000000=>0000000 [8,6,2,1,5,3,4,7]=>0000000=>0000000 [2,3,8,1,5,7,4,6]=>0000000=>0000000 [7,1,3,2,8,6,4,5]=>0000000=>0000000 [4,7,1,2,6,3,8,5]=>0000000=>0000000 [2,7,8,1,5,3,4,6]=>0000000=>0000000 [6,7,2,1,5,3,4,8]=>0000001=>1000000 [4,7,2,1,8,5,3,6]=>0000000=>0000000 [8,7,2,1,4,5,3,6]=>0000000=>0000000 [5,7,8,6,1,4,3,2]=>0000000=>0000000 [2,7,4,1,6,5,3,8]=>0000001=>1000000 [7,1,6,4,5,8,3,2]=>0000000=>0000000 [2,6,4,1,7,5,3,8]=>0000001=>1000000 [5,6,8,7,1,4,3,2]=>0000000=>0000000 [4,2,8,1,6,5,3,7]=>0000000=>0000000 [6,2,4,1,8,5,3,7]=>0000000=>0000000 [8,3,1,4,5,6,7,2]=>0000000=>0000000 [5,3,1,4,8,6,7,2]=>0000000=>0000000 [7,5,1,6,3,4,8,2]=>0000000=>0000000 [7,1,5,8,4,3,6,2]=>0000000=>0000000 [5,8,1,6,4,3,7,2]=>0000000=>0000000 [5,3,1,8,4,6,7,2]=>0000000=>0000000 [8,3,1,5,4,6,7,2]=>0000000=>0000000 [8,2,6,1,4,5,3,7]=>0000000=>0000000 [6,2,8,1,4,5,3,7]=>0000000=>0000000 [7,2,6,1,5,3,4,8]=>0000001=>1000000 [2,8,6,1,5,3,4,7]=>0000000=>0000000 [4,2,1,5,6,3,8,7]=>0000010=>0100000 [7,1,2,5,8,3,4,6]=>0000000=>0000000 [7,1,4,5,6,8,3,2]=>0000000=>0000000 [2,6,7,1,4,5,3,8]=>0000001=>1000000 [3,5,1,7,4,6,8,2]=>0000000=>0000000 [7,1,5,6,4,8,3,2]=>0000000=>0000000 [7,1,6,5,4,8,3,2]=>0000000=>0000000 [2,7,6,1,4,5,3,8]=>0000001=>1000000 [5,7,6,8,1,4,3,2]=>0000000=>0000000 [7,8,6,5,1,4,3,2]=>0000000=>0000000 [5,3,1,2,4,8,7,6]=>0000100=>0010000 [5,3,6,2,1,8,7,4]=>0000000=>0000000 [5,3,7,2,8,4,1,6]=>0000000=>0000000 [7,2,4,5,8,3,1,6]=>0000000=>0000000 [7,2,4,5,1,3,6,8]=>0000001=>1000000 [6,2,4,5,1,8,7,3]=>0000000=>0000000 [3,1,4,5,2,8,7,6]=>0000100=>0010000 [1,6,4,5,2,8,7,3]=>1000000=>0000001 [3,7,4,5,1,2,6,8]=>0000001=>1000000 [1,7,4,2,6,3,5,8]=>1000001=>1000001 [8,7,4,5,2,1,6,3]=>0000000=>0000000 [6,3,7,1,8,4,2,5]=>0000000=>0000000 [5,7,4,1,6,3,2,8]=>0000001=>1000000 [1,7,4,8,6,3,2,5]=>1000000=>0000001 [5,7,4,8,6,3,1,2]=>0000000=>0000000 [4,8,3,5,6,7,1,2]=>0000000=>0000000 [1,8,3,5,6,7,2,4]=>1000000=>0000001 [4,8,1,5,6,7,2,3]=>0000000=>0000000 [4,1,3,5,6,7,2,8]=>0000001=>1000000 [5,8,4,3,6,1,2,7]=>0000000=>0000000 [5,3,8,4,1,7,2,6]=>0000000=>0000000 [1,5,8,4,6,7,3,2]=>1000000=>0000001 [1,4,8,3,6,7,5,2]=>1000000=>0000001 [4,3,8,2,1,7,5,6]=>0000000=>0000000 [3,8,4,2,6,1,5,7]=>0000000=>0000000 [3,8,1,5,6,7,4,2]=>0000000=>0000000 [3,8,2,5,6,7,1,4]=>0000000=>0000000 [8,2,1,5,6,7,4,3]=>0000000=>0000000 [8,1,3,5,6,7,4,2]=>0000000=>0000000 [7,1,4,3,6,2,5,8]=>0000001=>1000000 [7,8,4,3,6,2,1,5]=>0000000=>0000000 [4,3,1,8,5,7,6,2]=>0000000=>0000000 [6,3,5,8,2,7,1,4]=>0000000=>0000000 [7,5,4,8,6,2,1,3]=>0000000=>0000000 [7,1,4,8,6,2,3,5]=>0000000=>0000000 [7,5,4,1,6,2,3,8]=>0000001=>1000000 [1,6,4,5,8,2,3,7]=>1000000=>0000001 [1,8,5,3,6,7,4,2]=>1000000=>0000001 [8,3,5,2,1,7,4,6]=>0000000=>0000000 [4,1,8,5,6,7,3,2]=>0000000=>0000000 [1,2,8,5,6,7,3,4]=>1100000=>0000011 [4,2,1,5,6,7,3,8]=>0000001=>1000000 [1,5,3,8,6,7,4,2]=>1000000=>0000001 [1,4,8,5,6,7,2,3]=>1000000=>0000001 [2,6,5,7,3,1,8,4]=>0000000=>0000000 [6,3,2,4,7,5,1,8]=>0000001=>1000000 [4,2,1,6,3,7,5,8]=>0000001=>1000000 [4,2,1,6,3,7,8,5]=>0000000=>0000000 [4,2,1,3,7,8,6,5]=>0001000=>0001000 [5,8,1,7,4,3,2,6]=>0000000=>0000000 [7,3,4,2,6,8,1,5]=>0000000=>0000000 [3,6,7,5,2,4,8,1]=>0000000=>0000000 [4,8,1,7,3,6,5,2]=>0000000=>0000000 [4,2,1,8,3,7,6,5]=>0000000=>0000000 [2,6,1,5,4,7,8,3]=>0000000=>0000000 [4,6,3,5,8,7,1,2]=>0000000=>0000000 [4,7,5,2,1,3,6,8]=>0000001=>1000000 [3,5,6,2,4,1,7,8]=>0000011=>1100000 [3,1,8,5,2,7,6,4]=>0000000=>0000000 [4,8,1,5,2,7,3,6]=>0000000=>0000000 [4,1,2,5,3,8,7,6]=>0000100=>0010000 [4,3,6,8,7,5,1,2]=>0000000=>0000000 [6,4,8,1,2,5,3,7]=>0000000=>0000000 [6,5,1,2,3,4,8,7]=>0000010=>0100000 [6,7,4,1,2,5,3,8]=>0000001=>1000000 [1,2,6,7,5,3,8,4]=>1100000=>0000011 [1,7,5,3,2,8,4,6]=>1000000=>0000001 [1,6,5,7,2,3,8,4]=>1000000=>0000001 [1,3,8,2,6,5,7,4]=>1000000=>0000001 [1,2,5,7,6,3,4,8]=>1100001=>1000011 [1,3,4,8,2,5,7,6]=>1000000=>0000001 [1,5,7,6,2,3,4,8]=>1000001=>1000001 [1,5,3,8,2,6,4,7]=>1000000=>0000001 [1,4,8,3,2,5,7,6]=>1000000=>0000001 [1,2,4,8,3,5,7,6]=>1100000=>0000011 [1,3,8,4,2,6,7,5]=>1000000=>0000001 [1,4,8,2,3,5,7,6]=>1000000=>0000001 [4,2,6,7,5,8,3,1]=>0000000=>0000000 [6,7,5,2,1,8,4,3]=>0000000=>0000000 [3,4,8,7,5,2,1,6]=>0000000=>0000000 [1,7,5,2,8,4,6,3]=>1000000=>0000001 [5,6,8,3,1,7,2,4]=>0000000=>0000000 [6,1,4,8,3,2,7,5]=>0000000=>0000000 [3,4,7,1,8,6,2,5]=>0000000=>0000000 [3,4,6,8,2,1,5,7]=>0000000=>0000000 [3,8,2,5,6,1,4,7]=>0000000=>0000000 [3,5,2,8,6,4,1,7]=>0000000=>0000000 [4,2,5,7,3,8,6,1]=>0000000=>0000000 [7,4,2,5,3,8,1,6]=>0000000=>0000000 [1,5,6,8,3,4,2,7]=>1000000=>0000001 [4,5,1,6,8,3,2,7]=>0000000=>0000000 [4,5,7,3,8,2,6,1]=>0000000=>0000000 [6,4,3,7,8,2,5,1]=>0000000=>0000000 [6,4,3,1,7,8,2,5]=>0000000=>0000000 [4,5,3,1,7,8,2,6]=>0000000=>0000000 [7,1,3,5,4,8,2,6]=>0000000=>0000000 [7,5,2,8,1,4,3,6]=>0000000=>0000000 [1,4,5,7,3,8,6,2]=>1000000=>0000001 [4,6,3,7,8,5,2,1]=>0000000=>0000000 [1,5,3,6,7,8,4,2]=>1000000=>0000001 [4,6,1,7,3,8,5,2]=>0000000=>0000000 [6,7,2,4,8,1,5,3]=>0000000=>0000000 [5,2,3,6,7,8,4,1]=>0000000=>0000000 [6,4,2,7,1,8,3,5]=>0000000=>0000000 [4,2,6,3,7,8,5,1]=>0000000=>0000000 [6,7,3,8,2,4,5,1]=>0000000=>0000000 [3,6,2,7,4,1,8,5]=>0000000=>0000000 [6,7,3,2,1,4,8,5]=>0000000=>0000000 [7,2,4,8,6,1,3,5]=>0000000=>0000000 [3,5,7,2,1,8,6,4]=>0000000=>0000000 [6,7,8,3,2,5,1,4]=>0000000=>0000000 [6,3,7,8,2,5,4,1]=>0000000=>0000000 [2,6,7,4,8,5,3,1]=>0000000=>0000000 [6,2,4,7,1,8,5,3]=>0000000=>0000000 [1,7,4,8,5,2,6,3]=>1000000=>0000001 [1,3,7,8,5,2,6,4]=>1000000=>0000001 [2,5,7,8,1,6,3,4]=>0000000=>0000000 [1,6,4,7,8,2,5,3]=>1000000=>0000001 [2,5,6,1,7,8,4,3]=>0000000=>0000000 [5,6,1,2,7,8,4,3]=>0000000=>0000000 [6,7,2,1,8,5,3,4]=>0000000=>0000000 [6,4,2,5,3,8,7,1]=>0000000=>0000000 [2,6,4,5,8,7,3,1]=>0000000=>0000000 [2,6,4,8,7,5,3,1]=>0000000=>0000000 [8,2,4,6,7,5,3,1]=>0000000=>0000000 [4,2,6,8,7,5,3,1]=>0000000=>0000000 [4,2,6,5,8,7,3,1]=>0000000=>0000000 [6,4,8,7,2,5,3,1]=>0000000=>0000000 [4,6,5,8,7,2,3,1]=>0000000=>0000000 [4,7,8,3,1,2,6,5]=>0000000=>0000000 [4,7,8,2,1,3,6,5]=>0000000=>0000000 [3,6,2,8,4,7,1,5]=>0000000=>0000000 [3,2,6,8,4,7,1,5]=>0000000=>0000000 [4,2,6,8,3,1,7,5]=>0000000=>0000000 [4,2,5,1,8,3,7,6]=>0000000=>0000000 [4,2,5,3,8,1,7,6]=>0000000=>0000000 [3,2,5,4,8,7,1,6]=>0000000=>0000000 [5,4,3,1,2,8,7,6]=>0000100=>0010000 [5,3,1,4,2,8,7,6]=>0000100=>0010000 [5,3,2,1,4,8,7,6]=>0000100=>0010000 [4,3,2,5,8,1,7,6]=>0000000=>0000000 [3,2,4,5,8,7,1,6]=>0000000=>0000000 [1,7,2,3,5,6,8,4]=>1000000=>0000001 [3,7,4,2,1,5,6,8]=>0000001=>1000000 [3,4,6,2,8,5,7,1]=>0000000=>0000000 [4,2,1,7,5,8,3,6]=>0000000=>0000000 [4,7,2,6,5,1,3,8]=>0000001=>1000000 [3,7,4,1,2,5,8,6]=>0000000=>0000000 [4,7,1,6,5,2,8,3]=>0000000=>0000000 [4,7,3,6,5,1,8,2]=>0000000=>0000000 [4,3,7,1,6,8,5,2]=>0000000=>0000000 [4,2,1,7,5,6,8,3]=>0000000=>0000000 [4,2,6,8,7,3,1,5]=>0000000=>0000000 [3,4,6,1,8,5,2,7]=>0000000=>0000000 [4,1,6,7,5,8,2,3]=>0000000=>0000000 [4,3,6,7,5,1,2,8]=>0000001=>1000000 [4,3,7,1,6,8,2,5]=>0000000=>0000000 [4,3,7,5,6,8,2,1]=>0000000=>0000000 [4,1,7,3,6,5,2,8]=>0000001=>1000000 [2,8,7,4,5,3,1,6]=>0000000=>0000000 [2,8,7,4,3,5,1,6]=>0000000=>0000000 [4,1,7,3,6,2,5,8]=>0000001=>1000000 [5,8,7,6,1,2,4,3]=>0000000=>0000000 [4,1,7,2,6,8,5,3]=>0000000=>0000000 [4,2,7,3,6,1,8,5]=>0000000=>0000000 [4,2,7,3,6,5,8,1]=>0000000=>0000000 [3,8,5,6,2,4,1,7]=>0000000=>0000000 [2,8,6,5,3,7,1,4]=>0000000=>0000000 [3,8,6,5,1,4,7,2]=>0000000=>0000000 [3,8,2,1,4,6,7,5]=>0000000=>0000000 [3,8,2,5,4,6,7,1]=>0000000=>0000000 [4,2,6,7,5,3,1,8]=>0000001=>1000000 [3,2,6,1,4,5,8,7]=>0000010=>0100000 [2,8,7,3,4,5,1,6]=>0000000=>0000000 [5,8,7,6,1,3,4,2]=>0000000=>0000000 [5,8,7,6,2,3,4,1]=>0000000=>0000000 [4,1,7,5,6,2,3,8]=>0000001=>1000000 [3,8,1,5,2,6,4,7]=>0000000=>0000000 [2,8,7,5,3,4,1,6]=>0000000=>0000000 [2,8,7,5,4,3,1,6]=>0000000=>0000000 [4,1,7,5,6,3,2,8]=>0000001=>1000000 [5,8,7,6,1,3,2,4]=>0000000=>0000000 [5,8,7,6,4,1,2,3]=>0000000=>0000000 [8,1,7,2,4,5,3,6]=>0000000=>0000000 [8,1,3,6,2,5,4,7]=>0000000=>0000000 [7,2,1,6,3,5,4,8]=>0000001=>1000000 [2,7,1,6,3,5,4,8]=>0000001=>1000000 [2,7,1,5,4,3,6,8]=>0000001=>1000000 [7,2,1,5,4,3,6,8]=>0000001=>1000000 [8,1,3,5,4,2,6,7]=>0000000=>0000000 [8,1,5,3,4,2,6,7]=>0000000=>0000000 [8,1,5,6,2,3,7,4]=>0000000=>0000000 [8,1,4,5,3,2,6,7]=>0000000=>0000000 [8,1,4,3,5,2,6,7]=>0000000=>0000000 [7,2,1,4,5,3,6,8]=>0000001=>1000000 [2,7,1,4,5,3,6,8]=>0000001=>1000000 [2,6,3,1,5,4,7,8]=>0000011=>1100000 [6,3,2,1,5,4,7,8]=>0000011=>1100000 [7,3,1,4,5,2,6,8]=>0000001=>1000000 [7,3,1,5,4,2,6,8]=>0000001=>1000000 [7,3,1,6,2,5,4,8]=>0000001=>1000000 [3,7,1,6,2,5,4,8]=>0000001=>1000000 [3,7,1,4,5,2,6,8]=>0000001=>1000000 [2,3,6,1,5,4,7,8]=>0000011=>1100000 [6,3,4,1,5,2,7,8]=>0000011=>1100000 [6,2,4,1,5,3,7,8]=>0000011=>1100000 [2,6,4,1,5,3,7,8]=>0000011=>1100000 [2,6,5,1,3,7,4,8]=>0000001=>1000000 [6,5,2,1,3,7,4,8]=>0000001=>1000000 [7,6,1,2,4,5,3,8]=>0000001=>1000000 [6,7,1,2,8,3,5,4]=>0000000=>0000000 [6,7,1,2,5,4,3,8]=>0000001=>1000000 [5,6,2,1,3,7,4,8]=>0000001=>1000000 [5,2,6,1,3,7,4,8]=>0000001=>1000000 [2,4,6,1,5,3,7,8]=>0000011=>1100000 [4,7,1,3,5,2,6,8]=>0000001=>1000000 [4,7,1,5,3,2,6,8]=>0000001=>1000000 [5,7,1,6,2,3,8,4]=>0000000=>0000000 [5,6,3,1,2,7,4,8]=>0000001=>1000000 [4,2,5,3,1,6,7,8]=>0000111=>1110000 [5,8,7,3,2,6,4,1]=>0000000=>0000000 [8,1,7,2,5,6,3,4]=>0000000=>0000000 [4,8,1,5,2,6,7,3]=>0000000=>0000000 [7,1,2,8,5,6,3,4]=>0000000=>0000000 [8,7,2,1,5,6,3,4]=>0000000=>0000000 [8,6,7,1,5,2,3,4]=>0000000=>0000000 [6,1,7,8,5,2,3,4]=>0000000=>0000000 [8,7,5,2,1,6,4,3]=>0000000=>0000000 [4,6,8,1,5,3,7,2]=>0000000=>0000000 [6,5,8,1,3,4,7,2]=>0000000=>0000000 [5,8,2,4,3,6,7,1]=>0000000=>0000000 [8,1,3,7,5,2,6,4]=>0000000=>0000000 [3,6,8,2,4,1,7,5]=>0000000=>0000000 [2,5,8,4,6,7,3,1]=>0000000=>0000000 [5,8,4,1,6,7,2,3]=>0000000=>0000000 [1,6,4,5,2,3,7,8]=>1000011=>1100001 [1,7,4,5,2,3,6,8]=>1000001=>1000001 [1,6,3,5,2,4,7,8]=>1000011=>1100001 [1,6,3,4,2,5,7,8]=>1000011=>1100001 [1,7,3,4,2,5,6,8]=>1000001=>1000001 [1,8,5,7,3,4,2,6]=>1000000=>0000001 [1,7,3,4,2,6,5,8]=>1000001=>1000001 [1,5,2,8,4,7,3,6]=>1000000=>0000001 [1,4,2,8,5,7,3,6]=>1000000=>0000001 [1,7,3,5,2,6,4,8]=>1000001=>1000001 [1,8,4,7,3,5,2,6]=>1000000=>0000001 [1,7,3,6,2,5,4,8]=>1000001=>1000001 [1,7,3,6,2,4,5,8]=>1000001=>1000001 [1,7,4,6,2,3,5,8]=>1000001=>1000001 [1,8,5,6,2,3,4,7]=>1000000=>0000001 [1,8,5,6,2,4,3,7]=>1000000=>0000001 [1,3,2,8,5,6,4,7]=>1010000=>0000101 [1,4,2,8,5,6,3,7]=>1000000=>0000001 [1,5,2,8,4,6,3,7]=>1000000=>0000001 [1,6,2,8,4,5,3,7]=>1000000=>0000001 [8,6,4,7,2,1,3,5]=>0000000=>0000000 [1,6,4,7,2,8,3,5]=>1000000=>0000001 [1,4,7,3,5,8,2,6]=>1000000=>0000001 [8,4,6,2,3,5,1,7]=>0000000=>0000000 [5,4,8,2,3,6,1,7]=>0000000=>0000000 [7,4,8,5,2,3,1,6]=>0000000=>0000000 [3,8,6,2,4,5,1,7]=>0000000=>0000000 [4,8,6,2,3,5,1,7]=>0000000=>0000000 [1,7,5,3,4,8,2,6]=>1000000=>0000001 [1,7,6,4,8,2,3,5]=>1000000=>0000001 [5,8,7,4,1,2,3,6]=>0000000=>0000000 [6,8,5,3,4,1,2,7]=>0000000=>0000000 [6,8,3,7,2,1,4,5]=>0000000=>0000000 [8,5,1,6,3,7,2,4]=>0000000=>0000000 [6,1,3,7,4,8,2,5]=>0000000=>0000000 [4,1,7,3,5,8,2,6]=>0000000=>0000000 [7,1,6,4,8,2,3,5]=>0000000=>0000000 [5,1,7,3,8,2,4,6]=>0000000=>0000000 [6,1,5,7,8,2,3,4]=>0000000=>0000000 [7,4,8,6,1,2,3,5]=>0000000=>0000000 [3,8,7,5,1,2,4,6]=>0000000=>0000000 [3,7,6,1,2,4,5,8]=>0000001=>1000000 [4,7,6,1,2,3,5,8]=>0000001=>1000000 [1,6,5,8,2,3,4,7]=>1000000=>0000001 [6,5,8,4,1,2,3,7]=>0000000=>0000000 [8,5,7,4,1,2,3,6]=>0000000=>0000000 [1,5,7,4,8,2,3,6]=>1000000=>0000001 [7,6,2,3,8,1,4,5]=>0000000=>0000000 [7,4,8,5,1,6,2,3]=>0000000=>0000000 [8,6,2,3,1,7,4,5]=>0000000=>0000000 [8,6,4,1,2,7,3,5]=>0000000=>0000000 [1,7,2,8,6,3,4,5]=>1000000=>0000001 [7,5,8,1,3,6,2,4]=>0000000=>0000000 [5,4,1,8,2,3,6,7]=>0000000=>0000000 [1,4,8,7,2,3,5,6]=>1000000=>0000001 [1,5,8,7,2,3,4,6]=>1000000=>0000001 [6,5,1,8,2,3,4,7]=>0000000=>0000000 [5,7,1,3,8,2,4,6]=>0000000=>0000000 [7,6,8,1,5,2,3,4]=>0000000=>0000000 [7,1,5,8,6,2,3,4]=>0000000=>0000000 [4,1,8,7,2,3,5,6]=>0000000=>0000000 [5,1,8,7,2,3,4,6]=>0000000=>0000000 [7,1,5,8,3,4,2,6]=>0000000=>0000000 [7,1,4,3,2,5,6,8]=>0000001=>1000000 [6,4,2,3,8,5,7,1]=>0000000=>0000000 [6,4,2,7,5,8,3,1]=>0000000=>0000000 [7,1,4,6,5,2,3,8]=>0000001=>1000000 [7,1,4,6,5,8,2,3]=>0000000=>0000000 [7,1,4,6,3,8,2,5]=>0000000=>0000000 [7,1,4,3,2,5,8,6]=>0000000=>0000000 [7,1,4,6,5,2,8,3]=>0000000=>0000000 [7,1,4,6,5,3,8,2]=>0000000=>0000000 [7,1,4,6,5,3,2,8]=>0000001=>1000000 [6,4,2,7,5,3,8,1]=>0000000=>0000000 [3,4,7,2,6,8,5,1]=>0000000=>0000000 [3,4,7,1,6,8,2,5]=>0000000=>0000000 [3,4,7,1,6,8,5,2]=>0000000=>0000000 [2,4,1,7,5,3,6,8]=>0000001=>1000000 [3,4,1,7,8,6,2,5]=>0000000=>0000000 [6,4,2,3,8,5,1,7]=>0000000=>0000000 [6,4,2,7,5,3,1,8]=>0000001=>1000000 [3,4,7,2,6,8,1,5]=>0000000=>0000000 [5,4,7,3,6,8,2,1]=>0000000=>0000000 [3,4,7,2,6,5,1,8]=>0000001=>1000000 [4,8,7,3,5,1,2,6]=>0000000=>0000000 [4,8,7,1,3,5,2,6]=>0000000=>0000000 [4,8,3,1,2,6,5,7]=>0000000=>0000000 [3,4,7,1,6,2,5,8]=>0000001=>1000000 [3,4,7,1,6,2,8,5]=>0000000=>0000000 [3,4,7,2,6,5,8,1]=>0000000=>0000000 [4,8,3,1,2,6,7,5]=>0000000=>0000000 [5,8,1,6,3,4,2,7]=>0000000=>0000000 [6,8,5,1,3,7,2,4]=>0000000=>0000000 [6,8,5,1,3,4,7,2]=>0000000=>0000000 [5,8,3,4,2,6,7,1]=>0000000=>0000000 [6,4,3,7,5,1,2,8]=>0000001=>1000000 [3,8,7,4,1,5,2,6]=>0000000=>0000000 [2,4,7,3,6,1,5,8]=>0000001=>1000000 [5,8,3,2,1,6,4,7]=>0000000=>0000000 [5,8,7,4,3,1,2,6]=>0000000=>0000000 [5,3,7,2,4,6,8,1]=>0000000=>0000000 [4,2,1,5,8,6,3,7]=>0000000=>0000000 [3,2,1,8,5,4,6,7]=>0010000=>0000100 [6,7,2,1,8,4,5,3]=>0000000=>0000000 [4,3,1,6,7,8,5,2]=>0000000=>0000000 [4,2,1,6,8,5,3,7]=>0000000=>0000000 [5,2,6,1,8,3,4,7]=>0000000=>0000000 [4,2,1,7,8,6,3,5]=>0000000=>0000000 [3,2,1,8,6,4,7,5]=>0010000=>0000100 [3,2,1,8,6,4,5,7]=>0010000=>0000100 [3,2,1,8,4,6,5,7]=>0010000=>0000100 [3,2,1,8,4,6,7,5]=>0010000=>0000100 [4,2,1,7,8,3,5,6]=>0000000=>0000000 [3,2,1,8,4,5,7,6]=>0010000=>0000100 [7,4,8,6,2,5,3,1]=>0000000=>0000000 [7,3,8,6,2,4,5,1]=>0000000=>0000000 [7,4,3,1,8,2,5,6]=>0000000=>0000000 [7,4,2,8,5,6,1,3]=>0000000=>0000000 [7,3,8,5,2,4,6,1]=>0000000=>0000000 [6,3,8,2,4,5,1,7]=>0000000=>0000000 [6,3,8,2,5,7,4,1]=>0000000=>0000000 [5,6,7,3,8,2,4,1]=>0000000=>0000000 [5,3,8,2,4,6,7,1]=>0000000=>0000000 [6,3,8,2,4,7,5,1]=>0000000=>0000000 [5,7,4,2,6,8,1,3]=>0000000=>0000000 [6,5,3,1,4,2,7,8]=>0000011=>1100000 [5,7,4,2,6,1,3,8]=>0000001=>1000000 [5,6,4,2,3,8,1,7]=>0000000=>0000000 [5,6,3,7,8,2,4,1]=>0000000=>0000000 [5,6,3,8,2,4,7,1]=>0000000=>0000000 [6,3,7,2,4,5,1,8]=>0000001=>1000000 [6,3,7,2,5,8,4,1]=>0000000=>0000000 [5,3,6,8,2,4,7,1]=>0000000=>0000000 [5,4,6,2,3,8,1,7]=>0000000=>0000000 [5,3,6,7,8,2,4,1]=>0000000=>0000000 [5,6,3,4,2,1,8,7]=>0000010=>0100000 [5,6,4,2,1,3,8,7]=>0000010=>0100000 [2,8,6,3,5,4,1,7]=>0000000=>0000000 [4,3,8,5,7,6,2,1]=>0000000=>0000000 [3,8,5,6,4,2,1,7]=>0000000=>0000000 [6,3,7,8,4,2,1,5]=>0000000=>0000000 [7,8,4,2,1,6,3,5]=>0000000=>0000000 [8,5,7,6,2,1,4,3]=>0000000=>0000000 [4,8,5,7,6,2,1,3]=>0000000=>0000000 [8,4,2,6,3,1,7,5]=>0000000=>0000000 [1,5,3,7,4,2,8,6]=>1000000=>0000001 [1,6,7,3,4,2,8,5]=>1000000=>0000001 [8,6,5,2,3,1,7,4]=>0000000=>0000000 [1,7,6,3,4,2,8,5]=>1000000=>0000001 [1,8,6,3,2,5,7,4]=>1000000=>0000001 [8,7,5,2,1,4,6,3]=>0000000=>0000000 [7,8,5,2,1,4,6,3]=>0000000=>0000000 [6,8,5,2,3,1,7,4]=>0000000=>0000000 [5,8,6,2,3,1,7,4]=>0000000=>0000000 [4,8,2,6,3,1,7,5]=>0000000=>0000000 [3,2,8,6,4,1,7,5]=>0000000=>0000000 [3,2,1,7,5,4,8,6]=>0010000=>0000100 [4,1,3,7,5,2,8,6]=>0000000=>0000000 [7,1,6,3,2,5,8,4]=>0000000=>0000000 [1,2,7,4,3,6,8,5]=>1100000=>0000011 [6,1,8,2,4,5,7,3]=>0000000=>0000000 [5,1,8,3,2,6,7,4]=>0000000=>0000000 [4,8,2,7,1,5,6,3]=>0000000=>0000000 [5,8,7,2,1,4,6,3]=>0000000=>0000000 [6,8,7,1,3,4,5,2]=>0000000=>0000000 [7,8,6,1,3,4,5,2]=>0000000=>0000000 [1,7,8,2,4,5,6,3]=>1000000=>0000001 [8,6,7,1,3,4,5,2]=>0000000=>0000000 [7,6,8,1,3,4,5,2]=>0000000=>0000000 [6,5,8,2,3,1,7,4]=>0000000=>0000000 [1,6,8,3,2,5,7,4]=>1000000=>0000001 [8,4,2,7,1,5,6,3]=>0000000=>0000000 [7,4,2,8,1,5,6,3]=>0000000=>0000000 [6,4,2,8,3,1,7,5]=>0000000=>0000000 [5,4,2,3,8,1,7,6]=>0000000=>0000000 [4,5,2,3,1,6,8,7]=>0000110=>0110000 [7,4,2,1,3,6,8,5]=>0000000=>0000000 [8,4,2,1,3,6,7,5]=>0000000=>0000000 [1,5,3,2,4,7,8,6]=>1000100=>0010001 [8,5,1,3,2,6,7,4]=>0000000=>0000000 [5,6,1,3,4,2,8,7]=>0000010=>0100000 [4,7,2,1,3,6,8,5]=>0000000=>0000000 [5,7,1,3,2,6,8,4]=>0000000=>0000000 [6,7,1,2,4,5,8,3]=>0000000=>0000000 [1,8,2,3,5,6,7,4]=>1000000=>0000001 [5,8,1,3,2,6,7,4]=>0000000=>0000000 [4,8,2,1,3,6,7,5]=>0000000=>0000000 [4,1,3,2,5,7,8,6]=>0001100=>0011000 [5,1,2,4,3,7,8,6]=>0000100=>0010000 [1,2,6,4,7,5,8,3]=>1100000=>0000011 [3,1,7,5,4,2,6,8]=>0000001=>1000000 [6,3,8,5,4,7,1,2]=>0000000=>0000000 [1,6,2,5,4,7,8,3]=>1000000=>0000001 [1,2,6,4,8,5,7,3]=>1100000=>0000011 [7,8,3,1,4,2,5,6]=>0000000=>0000000 [4,8,1,5,2,3,6,7]=>0000000=>0000000 [7,4,1,5,2,3,6,8]=>0000001=>1000000 [5,6,1,8,4,3,2,7]=>0000000=>0000000 [5,1,8,6,4,3,2,7]=>0000000=>0000000 [5,1,6,3,8,7,2,4]=>0000000=>0000000 [6,1,2,5,8,3,7,4]=>0000000=>0000000 [6,1,8,7,4,3,2,5]=>0000000=>0000000 [7,1,2,5,4,8,6,3]=>0000000=>0000000 [1,2,7,5,8,3,6,4]=>1100000=>0000011 [4,1,6,3,7,5,2,8]=>0000001=>1000000 [1,3,6,7,8,5,2,4]=>1000000=>0000001 [1,2,6,4,7,8,5,3]=>1100000=>0000011 [4,1,6,3,7,8,2,5]=>0000000=>0000000 [3,1,6,4,8,2,7,5]=>0000000=>0000000 [7,8,4,1,6,3,2,5]=>0000000=>0000000 [4,1,6,3,8,7,2,5]=>0000000=>0000000 [7,5,1,8,4,3,2,6]=>0000000=>0000000 [6,5,1,7,4,3,2,8]=>0000001=>1000000 [4,1,8,5,2,3,7,6]=>0000000=>0000000 [4,1,6,8,3,7,2,5]=>0000000=>0000000 [6,5,8,1,4,3,2,7]=>0000000=>0000000 [1,6,3,2,7,4,8,5]=>1000000=>0000001 [1,3,7,5,2,4,8,6]=>1000000=>0000001 [2,5,3,7,4,8,1,6]=>0000000=>0000000 [3,2,6,7,8,1,5,4]=>0000000=>0000000 [3,5,2,7,8,4,1,6]=>0000000=>0000000 [3,5,2,6,8,4,7,1]=>0000000=>0000000 [2,5,7,4,3,8,6,1]=>0000000=>0000000 [1,5,7,2,4,8,6,3]=>1000000=>0000001 [4,6,3,7,2,8,5,1]=>0000000=>0000000 [1,4,7,3,8,6,2,5]=>1000000=>0000001 [5,1,6,8,2,4,3,7]=>0000000=>0000000 [5,3,7,8,2,4,1,6]=>0000000=>0000000 [8,5,3,7,2,4,1,6]=>0000000=>0000000 [8,2,4,7,3,1,5,6]=>0000000=>0000000 [2,4,7,8,3,1,5,6]=>0000000=>0000000 [6,3,1,5,8,2,4,7]=>0000000=>0000000 [6,5,3,4,2,8,1,7]=>0000000=>0000000 [5,2,4,3,8,1,6,7]=>0000000=>0000000 [3,2,4,8,1,5,6,7]=>0000000=>0000000 [8,1,5,7,3,2,4,6]=>0000000=>0000000 [8,4,6,7,2,3,1,5]=>0000000=>0000000 [4,6,7,8,2,3,1,5]=>0000000=>0000000 [7,4,6,8,2,3,1,5]=>0000000=>0000000 [7,2,4,8,3,1,5,6]=>0000000=>0000000 [5,3,8,7,2,4,1,6]=>0000000=>0000000 [2,4,8,7,3,1,5,6]=>0000000=>0000000 [4,6,8,7,2,3,1,5]=>0000000=>0000000 [6,4,8,7,2,3,1,5]=>0000000=>0000000 [3,1,7,4,2,8,6,5]=>0000000=>0000000 [3,2,8,4,1,7,6,5]=>0000000=>0000000 [7,6,4,8,2,3,1,5]=>0000000=>0000000 [5,7,6,8,2,3,1,4]=>0000000=>0000000 [4,7,6,8,2,3,1,5]=>0000000=>0000000 [8,6,4,7,2,3,1,5]=>0000000=>0000000 [8,2,3,7,4,1,6,5]=>0000000=>0000000 [3,7,4,8,2,5,1,6]=>0000000=>0000000 [2,3,7,4,1,6,8,5]=>0000000=>0000000 [8,1,6,4,2,3,7,5]=>0000000=>0000000 [4,7,8,6,2,3,1,5]=>0000000=>0000000 [6,3,1,7,4,2,8,5]=>0000000=>0000000 [8,5,7,6,2,3,1,4]=>0000000=>0000000 [7,1,6,4,2,3,8,5]=>0000000=>0000000 [3,1,7,6,4,2,8,5]=>0000000=>0000000 [4,8,7,6,2,3,1,5]=>0000000=>0000000 [6,8,7,5,2,3,1,4]=>0000000=>0000000 [4,3,6,1,5,8,7,2]=>0000000=>0000000 [4,3,6,5,1,8,7,2]=>0000000=>0000000 [4,6,3,5,1,8,7,2]=>0000000=>0000000 [4,6,3,1,5,8,7,2]=>0000000=>0000000 [4,1,6,5,3,8,7,2]=>0000000=>0000000 [4,6,1,5,3,8,7,2]=>0000000=>0000000 [2,6,5,3,1,8,7,4]=>0000000=>0000000 [2,6,5,8,3,1,7,4]=>0000000=>0000000 [2,6,5,3,8,1,7,4]=>0000000=>0000000 [4,6,1,5,8,3,7,2]=>0000000=>0000000 [4,1,6,5,8,3,7,2]=>0000000=>0000000 [1,4,6,5,8,3,7,2]=>1000000=>0000001 [4,1,6,5,8,7,3,2]=>0000000=>0000000 [6,4,3,8,7,1,5,2]=>0000000=>0000000 [6,4,8,3,7,1,5,2]=>0000000=>0000000 [2,6,8,5,3,7,1,4]=>0000000=>0000000 [4,6,8,1,5,7,3,2]=>0000000=>0000000 [4,6,1,8,5,7,3,2]=>0000000=>0000000 [1,4,6,8,5,7,3,2]=>1000000=>0000001 [1,4,6,8,5,3,7,2]=>1000000=>0000001 [4,6,1,8,5,3,7,2]=>0000000=>0000000 [4,6,3,8,5,7,1,2]=>0000000=>0000000 [4,3,6,8,1,5,7,2]=>0000000=>0000000 [4,3,6,1,8,5,7,2]=>0000000=>0000000 [4,3,1,6,8,5,7,2]=>0000000=>0000000 [4,1,3,6,8,7,5,2]=>0000000=>0000000 [4,3,6,1,8,7,5,2]=>0000000=>0000000 [4,3,6,8,1,7,5,2]=>0000000=>0000000 [6,5,2,8,7,3,1,4]=>0000000=>0000000 [6,5,2,8,7,1,3,4]=>0000000=>0000000 [6,2,5,8,7,1,3,4]=>0000000=>0000000 [6,2,5,8,7,3,1,4]=>0000000=>0000000 [4,6,3,8,1,7,5,2]=>0000000=>0000000 [4,6,3,1,8,7,5,2]=>0000000=>0000000 [4,1,6,3,8,7,5,2]=>0000000=>0000000 [1,4,6,3,8,7,5,2]=>1000000=>0000001 [4,1,6,8,3,7,5,2]=>0000000=>0000000 [4,6,1,8,3,7,5,2]=>0000000=>0000000 [4,6,8,1,3,7,5,2]=>0000000=>0000000 [6,2,8,5,7,3,1,4]=>0000000=>0000000 [6,2,8,5,7,1,3,4]=>0000000=>0000000 [2,4,8,7,1,5,3,6]=>0000000=>0000000 [6,4,1,8,7,5,3,2]=>0000000=>0000000 [6,1,4,8,7,5,3,2]=>0000000=>0000000 [1,6,4,8,7,3,5,2]=>1000000=>0000001 [6,4,1,8,7,3,5,2]=>0000000=>0000000 [4,2,8,7,5,1,3,6]=>0000000=>0000000 [2,4,8,7,3,5,1,6]=>0000000=>0000000 [1,5,3,2,6,4,7,8]=>1000011=>1100001 [1,7,3,2,8,5,4,6]=>1000000=>0000001 [1,6,2,8,5,3,4,7]=>1000000=>0000001 [1,5,7,2,8,4,3,6]=>1000000=>0000001 [2,3,1,8,4,5,7,6]=>0010000=>0000100 [7,8,1,4,3,5,2,6]=>0000000=>0000000 [8,4,2,5,3,1,6,7]=>0000000=>0000000 [2,4,7,8,1,5,3,6]=>0000000=>0000000 [6,1,2,8,5,3,4,7]=>0000000=>0000000 [6,8,1,3,4,7,2,5]=>0000000=>0000000 [6,7,2,3,4,1,8,5]=>0000000=>0000000 [4,8,7,3,5,6,1,2]=>0000000=>0000000 [4,8,7,5,3,6,1,2]=>0000000=>0000000 [5,8,7,3,4,6,1,2]=>0000000=>0000000 [5,8,4,2,1,6,7,3]=>0000000=>0000000 [5,8,4,1,2,6,7,3]=>0000000=>0000000 [5,3,7,2,6,1,8,4]=>0000000=>0000000 [5,2,8,1,6,3,7,4]=>0000000=>0000000 [5,8,2,1,4,7,6,3]=>0000000=>0000000 [4,8,2,5,1,7,6,3]=>0000000=>0000000 [7,8,4,1,2,6,5,3]=>0000000=>0000000 [4,8,1,5,2,7,6,3]=>0000000=>0000000 [5,8,1,2,4,7,6,3]=>0000000=>0000000 [5,2,8,3,6,7,1,4]=>0000000=>0000000 [2,8,7,6,4,1,3,5]=>0000000=>0000000 [7,8,2,6,5,1,3,4]=>0000000=>0000000 [1,8,7,6,2,4,3,5]=>1000000=>0000001 [2,8,1,4,5,6,7,3]=>0000000=>0000000 [2,1,7,3,6,5,8,4]=>0100000=>0000010 [3,2,7,1,6,5,8,4]=>0000000=>0000000 [6,1,2,8,5,7,3,4]=>0000000=>0000000 [6,2,1,8,5,7,3,4]=>0000000=>0000000 [6,3,1,8,5,7,2,4]=>0000000=>0000000 [6,4,2,1,7,5,8,3]=>0000000=>0000000 [6,1,3,8,5,2,7,4]=>0000000=>0000000 [1,3,7,2,6,8,5,4]=>1000000=>0000001 [7,8,2,6,5,3,1,4]=>0000000=>0000000 [3,2,6,7,5,8,1,4]=>0000000=>0000000 [1,2,7,5,6,3,8,4]=>1100000=>0000011 [2,8,7,6,4,3,1,5]=>0000000=>0000000 [3,8,7,6,1,2,5,4]=>0000000=>0000000 [4,8,7,6,2,1,3,5]=>0000000=>0000000 [4,8,7,6,1,3,2,5]=>0000000=>0000000 [3,8,7,6,4,1,2,5]=>0000000=>0000000 [7,8,3,6,5,1,2,4]=>0000000=>0000000 [2,3,7,5,6,8,1,4]=>0000000=>0000000 [3,8,7,6,4,2,1,5]=>0000000=>0000000 [3,4,2,6,7,8,1,5]=>0000000=>0000000 [3,1,4,2,6,8,7,5]=>0001000=>0001000 [8,3,4,2,6,1,7,5]=>0000000=>0000000 [2,6,7,3,5,4,1,8]=>0000001=>1000000 [2,7,8,3,5,4,1,6]=>0000000=>0000000 [2,6,8,3,5,4,1,7]=>0000000=>0000000 [4,7,1,2,8,5,3,6]=>0000000=>0000000 [4,8,1,2,7,5,3,6]=>0000000=>0000000 [2,1,6,3,7,5,4,8]=>0100001=>1000010 [2,7,1,3,6,8,4,5]=>0000000=>0000000 [7,4,1,2,8,5,3,6]=>0000000=>0000000 [8,7,4,2,1,5,3,6]=>0000000=>0000000 [7,4,1,2,6,5,3,8]=>0000001=>1000000 [7,4,3,1,5,6,8,2]=>0000000=>0000000 [6,7,4,1,5,8,3,2]=>0000000=>0000000 [4,7,5,1,6,8,3,2]=>0000000=>0000000 [4,5,3,1,7,6,8,2]=>0000000=>0000000 [4,6,1,2,7,5,3,8]=>0000001=>1000000 [4,6,1,2,8,5,3,7]=>0000000=>0000000 [4,5,3,1,8,6,7,2]=>0000000=>0000000 [4,8,5,6,3,1,7,2]=>0000000=>0000000 [5,1,3,4,8,6,7,2]=>0000000=>0000000 [5,4,3,8,1,6,7,2]=>0000000=>0000000 [8,5,3,4,1,6,7,2]=>0000000=>0000000 [6,4,8,2,1,5,3,7]=>0000000=>0000000 [6,7,3,2,5,1,4,8]=>0000001=>1000000 [6,8,3,2,5,1,4,7]=>0000000=>0000000 [5,7,1,4,6,8,3,2]=>0000000=>0000000 [5,1,3,4,7,6,8,2]=>0000000=>0000000 [5,4,3,7,1,6,8,2]=>0000000=>0000000 [6,7,5,4,1,8,3,2]=>0000000=>0000000 [7,6,4,2,1,5,3,8]=>0000001=>1000000 [8,5,6,1,3,2,4,7]=>0000000=>0000000 [8,6,1,5,3,2,4,7]=>0000000=>0000000 [7,8,1,5,3,2,4,6]=>0000000=>0000000 [8,1,7,5,3,2,4,6]=>0000000=>0000000 [8,6,1,4,5,2,3,7]=>0000000=>0000000 [8,6,3,1,5,2,4,7]=>0000000=>0000000 [8,4,6,1,5,2,3,7]=>0000000=>0000000 [8,6,2,1,5,4,3,7]=>0000000=>0000000 [8,5,2,6,1,4,3,7]=>0000000=>0000000 [8,5,2,1,7,4,3,6]=>0000000=>0000000 [8,2,7,5,1,3,4,6]=>0000000=>0000000 [8,4,1,7,5,2,3,6]=>0000000=>0000000 [8,2,6,1,7,4,3,5]=>0000000=>0000000 [8,1,7,4,3,2,6,5]=>0000000=>0000000 [8,1,5,7,3,2,6,4]=>0000000=>0000000 [5,7,8,1,3,2,6,4]=>0000000=>0000000 [8,2,6,1,5,7,3,4]=>0000000=>0000000 [5,8,1,6,7,2,3,4]=>0000000=>0000000 [5,7,6,1,8,2,3,4]=>0000000=>0000000 [8,1,5,6,7,2,3,4]=>0000000=>0000000 [6,5,7,1,8,2,3,4]=>0000000=>0000000 [8,1,6,4,7,2,3,5]=>0000000=>0000000 [7,5,8,1,3,2,4,6]=>0000000=>0000000 [7,8,4,1,3,2,5,6]=>0000000=>0000000 [8,3,7,4,1,2,5,6]=>0000000=>0000000 [8,5,1,7,3,2,4,6]=>0000000=>0000000 [6,8,1,7,3,2,4,5]=>0000000=>0000000 [7,1,8,4,3,6,2,5]=>0000000=>0000000 [7,3,1,8,6,4,2,5]=>0000000=>0000000 [8,3,1,7,4,6,2,5]=>0000000=>0000000 [8,4,5,1,7,2,3,6]=>0000000=>0000000 [5,6,8,1,7,2,3,4]=>0000000=>0000000 [6,5,8,1,2,7,3,4]=>0000000=>0000000 [7,3,1,8,5,6,2,4]=>0000000=>0000000 [6,2,7,8,3,1,5,4]=>0000000=>0000000 [5,8,1,7,3,2,6,4]=>0000000=>0000000 [8,4,1,7,3,2,6,5]=>0000000=>0000000 [8,3,4,7,1,2,6,5]=>0000000=>0000000 [7,4,8,2,1,3,6,5]=>0000000=>0000000 [7,4,3,8,1,2,6,5]=>0000000=>0000000 [8,2,3,6,7,1,5,4]=>0000000=>0000000 [6,8,5,2,3,4,7,1]=>0000000=>0000000 [5,3,7,1,4,2,8,6]=>0000000=>0000000 [3,7,5,1,2,8,6,4]=>0000000=>0000000 [7,3,5,8,1,2,6,4]=>0000000=>0000000 [2,5,7,4,8,6,1,3]=>0000000=>0000000 [3,6,2,5,8,7,1,4]=>0000000=>0000000 [5,2,8,4,7,6,1,3]=>0000000=>0000000 [2,5,1,4,7,3,8,6]=>0000000=>0000000 [3,1,5,6,2,8,7,4]=>0000000=>0000000 [1,2,4,6,3,8,7,5]=>1100000=>0000011 [7,2,3,5,1,8,6,4]=>0000000=>0000000 [1,6,4,2,8,7,5,3]=>1000000=>0000001 [4,6,2,7,5,1,8,3]=>0000000=>0000000 [1,5,3,6,2,8,7,4]=>1000000=>0000001 [3,5,2,1,7,4,8,6]=>0000000=>0000000 [6,3,1,7,2,8,5,4]=>0000000=>0000000 [7,5,1,2,8,6,4,3]=>0000000=>0000000 [4,5,1,2,8,7,6,3]=>0000000=>0000000 [5,8,2,7,1,6,4,3]=>0000000=>0000000 [2,1,6,4,5,8,3,7]=>0100000=>0000010 [8,6,3,7,5,2,1,4]=>0000000=>0000000 [4,6,3,8,5,2,1,7]=>0000000=>0000000 [4,6,3,7,5,2,8,1]=>0000000=>0000000 [4,8,3,7,5,2,1,6]=>0000000=>0000000 [5,2,8,3,7,6,1,4]=>0000000=>0000000 [8,2,7,3,1,6,4,5]=>0000000=>0000000 [8,6,7,4,1,5,3,2]=>0000000=>0000000 [4,8,6,7,5,1,3,2]=>0000000=>0000000 [7,1,8,4,6,5,2,3]=>0000000=>0000000 [8,7,1,5,4,6,2,3]=>0000000=>0000000 [8,5,7,1,4,6,3,2]=>0000000=>0000000 [6,4,8,5,1,7,3,2]=>0000000=>0000000 [8,4,7,1,5,6,3,2]=>0000000=>0000000 [8,7,5,1,4,6,2,3]=>0000000=>0000000 [8,7,2,5,1,4,6,3]=>0000000=>0000000 [4,8,7,2,5,1,6,3]=>0000000=>0000000 [8,7,1,4,2,5,6,3]=>0000000=>0000000 [8,7,5,1,2,4,6,3]=>0000000=>0000000 [7,1,8,5,6,2,3,4]=>0000000=>0000000 [3,5,8,7,1,2,6,4]=>0000000=>0000000 [2,3,8,5,7,1,6,4]=>0000000=>0000000 [3,8,7,1,5,6,2,4]=>0000000=>0000000 [3,5,8,7,1,6,2,4]=>0000000=>0000000 [2,3,8,6,7,5,1,4]=>0000000=>0000000 [3,2,8,6,7,5,1,4]=>0000000=>0000000 [4,1,8,6,2,7,5,3]=>0000000=>0000000 [8,7,4,1,2,6,5,3]=>0000000=>0000000 [1,3,8,6,7,5,2,4]=>1000000=>0000001 [5,7,1,8,2,6,3,4]=>0000000=>0000000 [2,8,7,1,5,6,3,4]=>0000000=>0000000 [8,7,1,5,2,4,6,3]=>0000000=>0000000 [7,1,8,2,4,6,5,3]=>0000000=>0000000 [1,6,2,8,4,7,5,3]=>1000000=>0000001 [1,3,8,5,7,2,6,4]=>1000000=>0000001 [1,8,3,7,2,5,6,4]=>1000000=>0000001 [2,8,7,1,3,5,6,4]=>0000000=>0000000 [5,7,1,8,2,3,6,4]=>0000000=>0000000 [7,1,8,2,3,5,6,4]=>0000000=>0000000 [8,6,3,7,4,1,5,2]=>0000000=>0000000 [4,2,8,6,7,5,1,3]=>0000000=>0000000 [8,4,2,7,5,6,1,3]=>0000000=>0000000 [4,8,3,6,1,7,5,2]=>0000000=>0000000 [8,3,4,7,5,1,6,2]=>0000000=>0000000 [8,3,7,4,5,1,6,2]=>0000000=>0000000 [8,7,4,2,5,6,1,3]=>0000000=>0000000 [8,7,5,1,6,2,3,4]=>0000000=>0000000 [8,7,2,4,1,5,6,3]=>0000000=>0000000 [4,8,6,1,7,2,5,3]=>0000000=>0000000 [4,2,8,6,7,1,5,3]=>0000000=>0000000 [8,7,4,1,2,5,6,3]=>0000000=>0000000 [8,2,7,1,6,3,4,5]=>0000000=>0000000 [8,2,7,1,3,6,4,5]=>0000000=>0000000 [2,8,3,6,7,1,5,4]=>0000000=>0000000 [8,7,2,1,3,5,6,4]=>0000000=>0000000 [1,8,7,2,3,6,4,5]=>1000000=>0000001 [1,8,7,2,6,3,4,5]=>1000000=>0000001 [8,2,7,3,6,1,4,5]=>0000000=>0000000 [1,8,7,3,6,2,4,5]=>1000000=>0000001 [1,8,2,7,6,3,4,5]=>1000000=>0000001 [8,2,7,4,1,5,6,3]=>0000000=>0000000 [8,2,1,7,5,6,3,4]=>0000000=>0000000 [8,7,3,1,5,6,2,4]=>0000000=>0000000 [2,8,7,3,5,6,1,4]=>0000000=>0000000 [8,3,1,6,7,5,2,4]=>0000000=>0000000 [8,5,2,1,6,7,4,3]=>0000000=>0000000 [1,5,2,8,6,7,4,3]=>1000000=>0000001 [1,2,8,6,7,5,3,4]=>1100000=>0000011 [1,8,3,6,7,5,2,4]=>1000000=>0000001 [8,2,3,6,7,5,1,4]=>0000000=>0000000 [8,3,7,2,5,6,1,4]=>0000000=>0000000 [8,1,3,7,5,6,2,4]=>0000000=>0000000 [8,4,1,2,7,5,6,3]=>0000000=>0000000 [8,1,4,2,6,7,5,3]=>0000000=>0000000 [1,2,8,6,7,3,5,4]=>1100000=>0000011 [8,1,2,7,3,6,4,5]=>0000000=>0000000 [8,1,7,3,6,2,4,5]=>0000000=>0000000 [8,1,7,2,6,3,4,5]=>0000000=>0000000 [8,1,7,2,3,6,4,5]=>0000000=>0000000 [8,1,3,7,2,5,6,4]=>0000000=>0000000 [1,8,3,6,7,2,5,4]=>1000000=>0000001 [1,7,8,2,3,6,5,4]=>1000000=>0000001 [8,3,7,1,2,5,6,4]=>0000000=>0000000 [7,4,2,6,1,5,3,8]=>0000001=>1000000 [7,4,2,5,6,1,3,8]=>0000001=>1000000 [7,3,5,6,4,2,1,8]=>0000001=>1000000 [7,4,3,1,5,6,2,8]=>0000001=>1000000 [7,4,5,2,6,1,3,8]=>0000001=>1000000 [5,3,7,2,8,6,4,1]=>0000000=>0000000 [5,3,8,2,6,7,4,1]=>0000000=>0000000 [6,3,8,2,5,4,7,1]=>0000000=>0000000 [6,4,3,1,8,2,7,5]=>0000000=>0000000 [5,3,7,8,2,6,4,1]=>0000000=>0000000 [4,7,8,5,6,3,2,1]=>0000000=>0000000 [5,3,7,6,8,2,4,1]=>0000000=>0000000 [5,7,8,4,6,2,1,3]=>0000000=>0000000 [5,8,4,3,6,7,1,2]=>0000000=>0000000 [5,8,6,4,7,2,1,3]=>0000000=>0000000 [5,3,8,6,2,7,4,1]=>0000000=>0000000 [4,7,5,8,6,3,2,1]=>0000000=>0000000 [6,3,8,7,2,4,1,5]=>0000000=>0000000 [5,3,8,7,2,6,4,1]=>0000000=>0000000 [5,3,8,6,7,2,4,1]=>0000000=>0000000 [5,3,7,8,6,2,4,1]=>0000000=>0000000 [5,7,6,4,8,2,1,3]=>0000000=>0000000 [5,8,4,6,7,2,1,3]=>0000000=>0000000 [6,4,2,8,1,7,3,5]=>0000000=>0000000 [6,5,2,4,3,7,8,1]=>0000000=>0000000 [5,4,6,2,8,7,1,3]=>0000000=>0000000 [5,6,3,8,7,2,4,1]=>0000000=>0000000 [6,7,4,3,1,8,2,5]=>0000000=>0000000 [5,7,4,3,6,8,1,2]=>0000000=>0000000 [5,7,3,8,6,2,4,1]=>0000000=>0000000 [4,5,8,6,7,3,2,1]=>0000000=>0000000 [4,6,8,5,7,3,2,1]=>0000000=>0000000 [5,6,8,3,7,2,4,1]=>0000000=>0000000 [5,4,6,8,2,7,1,3]=>0000000=>0000000 [7,8,4,5,1,3,2,6]=>0000000=>0000000 [6,7,1,3,2,5,4,8]=>0000001=>1000000 [6,7,1,4,3,5,2,8]=>0000001=>1000000 [7,8,2,3,1,5,4,6]=>0000000=>0000000 [7,8,2,4,3,5,1,6]=>0000000=>0000000 [7,8,2,4,1,5,3,6]=>0000000=>0000000 [1,4,2,6,5,7,3,8]=>1000001=>1000001 [5,6,1,4,2,7,3,8]=>0000001=>1000000 [6,7,2,4,1,5,3,8]=>0000001=>1000000 [6,7,2,4,3,5,1,8]=>0000001=>1000000 [6,7,2,3,1,5,4,8]=>0000001=>1000000 [6,7,3,5,4,8,1,2]=>0000000=>0000000 [2,4,1,6,5,7,3,8]=>0000001=>1000000 [1,5,2,6,4,7,3,8]=>1000001=>1000001 [2,5,1,6,4,7,3,8]=>0000001=>1000000 [5,6,2,4,3,7,1,8]=>0000001=>1000000 [4,5,2,6,1,7,3,8]=>0000001=>1000000 [4,5,1,6,3,7,2,8]=>0000001=>1000000 [4,5,3,6,1,7,2,8]=>0000001=>1000000 [5,6,3,4,1,7,2,8]=>0000001=>1000000 [5,6,1,4,3,7,2,8]=>0000001=>1000000 [5,6,1,3,2,7,4,8]=>0000001=>1000000 [5,6,4,7,1,3,2,8]=>0000001=>1000000 [6,7,4,5,1,3,2,8]=>0000001=>1000000 [6,7,5,8,1,3,2,4]=>0000000=>0000000 [4,5,1,3,2,7,6,8]=>0000101=>1010000 [4,6,5,7,1,3,2,8]=>0000001=>1000000 [4,6,1,3,2,7,5,8]=>0000001=>1000000 [1,4,3,6,2,7,5,8]=>1000001=>1000001 [4,5,2,3,1,7,6,8]=>0000101=>1010000 [4,5,3,7,6,8,1,2]=>0000000=>0000000 [4,6,5,7,3,8,1,2]=>0000000=>0000000 [4,6,5,7,2,3,1,8]=>0000001=>1000000 [3,5,4,6,1,7,2,8]=>0000001=>1000000 [3,5,1,6,4,7,2,8]=>0000001=>1000000 [1,5,3,6,4,7,2,8]=>1000001=>1000001 [1,5,3,6,2,7,4,8]=>1000001=>1000001 [3,5,2,6,1,7,4,8]=>0000001=>1000000 [3,5,2,6,4,7,1,8]=>0000001=>1000000 [3,4,2,6,1,7,5,8]=>0000001=>1000000 [4,6,2,3,1,7,5,8]=>0000001=>1000000 [2,4,3,6,1,7,5,8]=>0000001=>1000000 [2,5,3,6,4,7,1,8]=>0000001=>1000000 [2,5,3,6,1,7,4,8]=>0000001=>1000000 [3,6,2,7,5,4,8,1]=>0000000=>0000000 [5,2,6,7,4,3,8,1]=>0000000=>0000000 [3,5,2,7,6,4,8,1]=>0000000=>0000000 [2,1,5,6,8,4,3,7]=>0100000=>0000010 [1,3,7,2,8,5,4,6]=>1000000=>0000001 [4,6,2,7,1,8,3,5]=>0000000=>0000000 [1,5,4,3,6,8,2,7]=>1000000=>0000001 [1,6,4,5,7,8,3,2]=>1000000=>0000001 [2,1,5,6,8,4,7,3]=>0100000=>0000010 [2,1,5,6,8,7,3,4]=>0100000=>0000010 [3,6,5,2,7,8,4,1]=>0000000=>0000000 [6,2,4,7,5,8,3,1]=>0000000=>0000000 [1,5,7,8,4,2,6,3]=>1000000=>0000001 [3,7,4,1,8,6,2,5]=>0000000=>0000000 [3,4,6,8,5,7,2,1]=>0000000=>0000000 [4,5,6,2,8,7,3,1]=>0000000=>0000000 [4,5,6,1,8,7,3,2]=>0000000=>0000000 [4,5,6,3,1,8,7,2]=>0000000=>0000000 [4,3,6,2,1,7,5,8]=>0000001=>1000000 [4,6,3,2,1,7,5,8]=>0000001=>1000000 [4,6,3,1,7,5,2,8]=>0000001=>1000000 [4,5,3,7,6,1,8,2]=>0000000=>0000000 [4,5,1,7,3,8,6,2]=>0000000=>0000000 [2,5,7,1,4,3,8,6]=>0000000=>0000000 [4,3,5,7,6,1,8,2]=>0000000=>0000000 [4,3,6,1,7,5,2,8]=>0000001=>1000000 [4,3,2,6,1,7,5,8]=>0000001=>1000000 [5,3,2,1,6,4,7,8]=>0000011=>1100000 [5,3,1,6,2,7,4,8]=>0000001=>1000000 [5,1,6,3,2,7,4,8]=>0000001=>1000000 [2,6,1,4,7,5,3,8]=>0000001=>1000000 [3,6,1,7,4,2,5,8]=>0000001=>1000000 [4,6,1,7,5,3,2,8]=>0000001=>1000000 [5,1,6,3,7,4,2,8]=>0000001=>1000000 [5,3,6,4,2,1,7,8]=>0000011=>1100000 [5,3,2,6,4,1,7,8]=>0000011=>1100000 [5,2,1,6,3,7,4,8]=>0000001=>1000000 [5,2,6,3,1,7,4,8]=>0000001=>1000000 [4,2,6,3,1,7,8,5]=>0000000=>0000000 [3,6,2,1,7,4,5,8]=>0000001=>1000000 [3,6,2,7,4,1,5,8]=>0000001=>1000000 [3,5,7,2,8,6,4,1]=>0000000=>0000000 [2,6,1,3,7,5,4,8]=>0000001=>1000000 [3,6,1,7,5,2,4,8]=>0000001=>1000000 [5,1,6,2,7,4,3,8]=>0000001=>1000000 [5,2,6,4,3,1,7,8]=>0000011=>1100000 [5,2,1,6,4,3,7,8]=>0000011=>1100000 [5,4,2,1,6,3,7,8]=>0000011=>1100000 [5,4,1,6,2,7,3,8]=>0000001=>1000000 [5,1,6,4,2,7,3,8]=>0000001=>1000000 [3,6,1,7,5,4,8,2]=>0000000=>0000000 [2,6,1,5,4,3,7,8]=>0000011=>1100000 [3,1,6,2,5,4,7,8]=>0000011=>1100000 [4,1,6,3,2,7,8,5]=>0000000=>0000000 [5,1,6,4,3,2,7,8]=>0000011=>1100000 [5,4,1,6,3,2,7,8]=>0000011=>1100000 [5,4,3,1,6,2,7,8]=>0000011=>1100000 [4,5,1,8,7,6,2,3]=>0000000=>0000000 [6,8,3,5,7,1,4,2]=>0000000=>0000000 [1,5,8,2,7,3,6,4]=>1000000=>0000001 [6,7,4,8,1,5,3,2]=>0000000=>0000000 [6,8,5,3,7,2,4,1]=>0000000=>0000000 [7,5,3,8,2,6,4,1]=>0000000=>0000000 [3,6,8,4,5,7,1,2]=>0000000=>0000000 [1,6,8,4,7,2,3,5]=>1000000=>0000001 [1,4,5,7,8,2,6,3]=>1000000=>0000001 [1,4,5,8,7,2,3,6]=>1000000=>0000001 [1,2,5,8,3,6,4,7]=>1100000=>0000011 [7,8,1,4,6,2,3,5]=>0000000=>0000000 [1,6,7,4,8,2,5,3]=>1000000=>0000001 [1,4,5,6,8,2,7,3]=>1000000=>0000001 [1,4,5,8,6,2,7,3]=>1000000=>0000001 [1,2,5,8,3,4,7,6]=>1100000=>0000011 [7,8,1,2,3,5,4,6]=>0000000=>0000000 [1,6,7,2,3,5,4,8]=>1000001=>1000001 [1,4,5,7,6,2,3,8]=>1000001=>1000001 [1,2,5,7,3,6,4,8]=>1100001=>1000011 [1,2,5,7,3,6,8,4]=>1100000=>0000011 [1,6,8,2,3,5,7,4]=>1000000=>0000001 [1,6,8,4,5,2,3,7]=>1000000=>0000001 [1,6,8,2,3,4,7,5]=>1000000=>0000001 [1,6,8,2,3,7,4,5]=>1000000=>0000001 [1,4,5,7,6,2,8,3]=>1000000=>0000001 [7,8,1,4,5,2,6,3]=>0000000=>0000000 [1,6,7,2,3,8,5,4]=>1000000=>0000001 [1,2,5,6,3,8,7,4]=>1100000=>0000011 [2,7,4,8,3,5,1,6]=>0000000=>0000000 [2,7,4,8,3,5,6,1]=>0000000=>0000000 [7,2,8,4,3,5,1,6]=>0000000=>0000000 [8,4,2,1,5,3,6,7]=>0000000=>0000000 [8,4,1,5,3,2,6,7]=>0000000=>0000000 [6,7,3,8,4,2,5,1]=>0000000=>0000000 [6,7,3,8,4,2,1,5]=>0000000=>0000000 [7,1,8,4,3,5,2,6]=>0000000=>0000000 [1,7,8,4,3,5,2,6]=>1000000=>0000001 [7,1,4,8,3,5,2,6]=>0000000=>0000000 [7,1,8,4,3,5,6,2]=>0000000=>0000000 [6,7,3,1,8,4,5,2]=>0000000=>0000000 [6,7,1,4,8,3,5,2]=>0000000=>0000000 [6,7,4,1,3,8,2,5]=>0000000=>0000000 [1,6,7,8,4,3,2,5]=>1000000=>0000001 [7,2,1,8,4,5,3,6]=>0000000=>0000000 [6,2,7,1,8,4,3,5]=>0000000=>0000000 [6,2,7,8,4,3,1,5]=>0000000=>0000000 [6,2,7,8,4,3,5,1]=>0000000=>0000000 [2,6,7,4,8,3,5,1]=>0000000=>0000000 [2,6,7,4,8,3,1,5]=>0000000=>0000000 [7,8,1,3,6,2,4,5]=>0000000=>0000000 [1,2,7,8,6,3,4,5]=>1100000=>0000011 [2,6,7,1,8,5,3,4]=>0000000=>0000000 [2,6,7,8,5,3,4,1]=>0000000=>0000000 [6,2,7,8,4,5,3,1]=>0000000=>0000000 [1,7,2,8,4,5,6,3]=>1000000=>0000001 [6,3,7,8,1,5,2,4]=>0000000=>0000000 [6,7,1,2,8,5,3,4]=>0000000=>0000000 [1,6,7,8,4,2,5,3]=>1000000=>0000001 [4,1,5,7,3,2,6,8]=>0000001=>1000000 [4,6,1,7,3,2,5,8]=>0000001=>1000000 [8,1,7,4,6,3,2,5]=>0000000=>0000000 [6,7,3,5,1,4,8,2]=>0000000=>0000000 [5,7,8,4,2,6,3,1]=>0000000=>0000000 [5,4,7,6,2,8,3,1]=>0000000=>0000000 [5,7,4,1,6,8,3,2]=>0000000=>0000000 [6,8,4,5,7,1,3,2]=>0000000=>0000000 [5,8,4,6,1,7,3,2]=>0000000=>0000000 [5,6,1,4,7,8,3,2]=>0000000=>0000000 [5,6,7,2,4,8,3,1]=>0000000=>0000000 [5,3,6,7,4,8,2,1]=>0000000=>0000000 [5,3,2,8,6,7,4,1]=>0000000=>0000000 [5,4,8,2,6,7,3,1]=>0000000=>0000000 [5,4,8,6,2,7,3,1]=>0000000=>0000000 [6,4,8,5,7,2,3,1]=>0000000=>0000000 [4,6,8,5,7,2,3,1]=>0000000=>0000000 [5,6,8,2,4,7,3,1]=>0000000=>0000000 [5,6,3,8,4,7,2,1]=>0000000=>0000000 [4,6,3,5,8,7,2,1]=>0000000=>0000000 [4,6,3,2,8,7,5,1]=>0000000=>0000000 [5,6,3,8,2,7,4,1]=>0000000=>0000000 [3,6,5,8,7,2,4,1]=>0000000=>0000000 [5,3,6,8,2,7,4,1]=>0000000=>0000000 [4,3,7,2,8,6,5,1]=>0000000=>0000000 [5,4,7,2,6,8,3,1]=>0000000=>0000000 [5,3,2,7,6,8,4,1]=>0000000=>0000000 [6,7,3,8,5,2,4,1]=>0000000=>0000000 [6,3,2,7,5,4,8,1]=>0000000=>0000000 [6,4,7,2,5,3,8,1]=>0000000=>0000000 [6,2,7,5,1,4,8,3]=>0000000=>0000000 [2,7,8,5,3,6,1,4]=>0000000=>0000000 [6,3,7,8,4,2,5,1]=>0000000=>0000000 [3,5,7,8,4,6,2,1]=>0000000=>0000000 [5,7,8,2,4,6,3,1]=>0000000=>0000000 [2,5,8,4,3,7,6,1]=>0000000=>0000000 [2,6,8,4,7,3,5,1]=>0000000=>0000000 [3,7,4,8,6,2,1,5]=>0000000=>0000000 [3,6,4,8,7,2,5,1]=>0000000=>0000000 [3,5,4,8,2,7,6,1]=>0000000=>0000000 [4,5,7,3,8,6,2,1]=>0000000=>0000000 [6,3,1,8,7,5,4,2]=>0000000=>0000000 [8,5,4,1,7,6,3,2]=>0000000=>0000000 [1,8,2,5,6,3,4,7]=>1000000=>0000001 [7,2,8,4,5,1,3,6]=>0000000=>0000000 [1,3,7,5,6,2,4,8]=>1000001=>1000001 [1,6,7,4,3,5,2,8]=>1000001=>1000001 [1,8,2,5,3,6,7,4]=>1000000=>0000001 [2,6,8,4,3,5,7,1]=>0000000=>0000000 [7,2,8,4,1,5,6,3]=>0000000=>0000000 [7,5,8,1,2,6,3,4]=>0000000=>0000000 [1,5,2,6,4,7,8,3]=>1000000=>0000001 [1,5,4,6,2,3,7,8]=>1000011=>1100001 [6,2,5,7,1,4,8,3]=>0000000=>0000000 [6,5,4,3,8,1,7,2]=>0000000=>0000000 [2,6,5,8,3,4,1,7]=>0000000=>0000000 [2,6,5,7,3,4,1,8]=>0000001=>1000000 [6,2,5,7,4,1,3,8]=>0000001=>1000000 [6,2,5,8,4,1,3,7]=>0000000=>0000000 [2,7,8,4,6,1,3,5]=>0000000=>0000000 [6,1,2,8,5,4,7,3]=>0000000=>0000000 [6,2,5,7,8,1,3,4]=>0000000=>0000000 [1,5,4,2,6,7,3,8]=>1000001=>1000001 [2,6,5,7,3,8,1,4]=>0000000=>0000000 [1,6,2,7,5,8,4,3]=>1000000=>0000001 [1,3,2,7,8,5,6,4]=>1010000=>0000101 [1,6,2,4,8,7,3,5]=>1000000=>0000001 [6,5,2,1,8,7,3,4]=>0000000=>0000000 [2,6,5,3,7,8,4,1]=>0000000=>0000000 [6,5,2,3,8,7,1,4]=>0000000=>0000000 [5,1,4,2,3,7,8,6]=>0000100=>0010000 [1,5,4,2,6,3,8,7]=>1000010=>0100001 [6,5,8,7,4,3,1,2]=>0000000=>0000000 [1,2,7,5,4,8,3,6]=>1100000=>0000011 [3,2,7,5,4,8,1,6]=>0000000=>0000000 [6,8,3,2,4,7,1,5]=>0000000=>0000000 [3,7,2,5,4,8,1,6]=>0000000=>0000000 [1,3,7,5,4,8,2,6]=>1000000=>0000001 [2,7,3,5,4,8,1,6]=>0000000=>0000000 [6,3,5,2,1,4,7,8]=>0000011=>1100000 [2,3,5,8,1,4,7,6]=>0000000=>0000000 [6,3,8,5,2,7,1,4]=>0000000=>0000000 [2,3,6,8,1,4,7,5]=>0000000=>0000000 [2,5,8,1,7,3,6,4]=>0000000=>0000000 [2,8,1,5,7,3,6,4]=>0000000=>0000000 [2,6,8,1,5,7,3,4]=>0000000=>0000000 [2,7,1,5,8,3,4,6]=>0000000=>0000000 [3,7,5,8,1,2,6,4]=>0000000=>0000000 [7,3,6,1,2,8,4,5]=>0000000=>0000000 [6,8,4,5,1,7,2,3]=>0000000=>0000000 [5,1,8,7,6,2,3,4]=>0000000=>0000000 [4,6,1,8,7,5,2,3]=>0000000=>0000000 [3,4,8,7,1,2,5,6]=>0000000=>0000000 [5,6,8,3,7,1,4,2]=>0000000=>0000000 [6,4,7,1,2,8,5,3]=>0000000=>0000000 [6,5,1,8,2,7,3,4]=>0000000=>0000000 [6,5,1,8,7,2,3,4]=>0000000=>0000000 [6,5,1,7,2,8,3,4]=>0000000=>0000000 [6,5,1,7,2,3,8,4]=>0000000=>0000000 [5,6,8,7,4,1,2,3]=>0000000=>0000000 [6,8,5,7,4,1,2,3]=>0000000=>0000000 [6,8,3,1,5,2,4,7]=>0000000=>0000000 [6,8,4,3,1,5,7,2]=>0000000=>0000000 [6,8,4,2,1,5,7,3]=>0000000=>0000000 [6,3,2,1,7,4,5,8]=>0000001=>1000000 [6,4,2,1,7,5,3,8]=>0000001=>1000000 [6,3,2,8,7,1,4,5]=>0000000=>0000000 [4,2,8,1,7,3,5,6]=>0000000=>0000000 [4,3,1,6,2,7,5,8]=>0000001=>1000000 [5,4,1,7,2,8,6,3]=>0000000=>0000000 [5,4,2,1,6,7,3,8]=>0000001=>1000000 [8,6,1,4,5,7,2,3]=>0000000=>0000000 [5,2,8,3,7,4,6,1]=>0000000=>0000000 [6,2,8,5,4,7,3,1]=>0000000=>0000000 [5,2,8,4,3,6,7,1]=>0000000=>0000000 [5,4,2,7,3,6,1,8]=>0000001=>1000000 [5,4,2,8,3,6,1,7]=>0000000=>0000000 [6,5,3,8,4,7,2,1]=>0000000=>0000000 [5,2,8,4,3,7,1,6]=>0000000=>0000000 [6,2,8,3,7,4,1,5]=>0000000=>0000000 [5,4,2,7,3,1,8,6]=>0000000=>0000000 [6,4,3,7,1,2,8,5]=>0000000=>0000000 [6,4,3,8,1,2,7,5]=>0000000=>0000000 [7,2,8,4,3,1,5,6]=>0000000=>0000000 [7,5,3,8,4,2,6,1]=>0000000=>0000000 [6,4,2,7,3,1,5,8]=>0000001=>1000000 [7,6,4,8,2,3,5,1]=>0000000=>0000000 [5,3,1,7,8,4,6,2]=>0000000=>0000000 [5,3,2,7,8,4,6,1]=>0000000=>0000000 [6,5,1,7,8,2,3,4]=>0000000=>0000000 [6,3,1,7,8,4,2,5]=>0000000=>0000000 [5,4,1,7,3,8,2,6]=>0000000=>0000000 [6,3,2,7,8,4,1,5]=>0000000=>0000000 [8,7,6,1,3,5,2,4]=>0000000=>0000000 [5,7,2,1,6,3,8,4]=>0000000=>0000000 [6,4,8,1,3,2,7,5]=>0000000=>0000000 [3,6,7,8,4,2,1,5]=>0000000=>0000000 [2,5,8,3,1,6,7,4]=>0000000=>0000000 [4,8,7,2,1,6,3,5]=>0000000=>0000000 [3,6,1,2,5,8,4,7]=>0000000=>0000000 [1,4,5,8,2,3,7,6]=>1000000=>0000001 [1,5,2,4,6,8,3,7]=>1000000=>0000001 [3,6,1,5,8,2,4,7]=>0000000=>0000000 [2,6,5,1,4,8,3,7]=>0000000=>0000000 [2,5,1,8,4,7,3,6]=>0000000=>0000000 [2,7,1,4,3,6,8,5]=>0000000=>0000000 [1,3,7,5,8,2,4,6]=>1000000=>0000001 [8,2,1,5,7,3,4,6]=>0000000=>0000000 [2,5,4,8,1,3,7,6]=>0000000=>0000000 [2,4,1,3,8,6,7,5]=>0001000=>0001000 [8,4,3,7,1,2,6,5]=>0000000=>0000000 [1,7,3,5,8,2,6,4]=>1000000=>0000001 [1,8,4,2,6,7,3,5]=>1000000=>0000001 [3,1,6,8,7,2,4,5]=>0000000=>0000000 [7,2,1,6,8,3,4,5]=>0000000=>0000000 [4,1,7,2,6,8,3,5]=>0000000=>0000000 [5,1,7,2,3,6,8,4]=>0000000=>0000000 [7,2,1,6,3,5,8,4]=>0000000=>0000000 [2,6,1,7,3,5,8,4]=>0000000=>0000000 [8,1,3,2,4,6,7,5]=>0000000=>0000000 [7,3,1,2,4,6,8,5]=>0000000=>0000000 [1,8,3,4,7,2,5,6]=>1000000=>0000001 [3,5,8,1,2,7,4,6]=>0000000=>0000000 [3,6,8,1,2,4,7,5]=>0000000=>0000000 [4,1,3,8,7,2,6,5]=>0000000=>0000000 [1,3,7,4,8,2,6,5]=>1000000=>0000001 [1,4,6,8,2,3,7,5]=>1000000=>0000001 [3,5,8,1,7,2,4,6]=>0000000=>0000000 [2,6,8,1,7,3,4,5]=>0000000=>0000000 [1,8,3,2,7,5,6,4]=>1000000=>0000001 [2,6,7,3,8,1,5,4]=>0000000=>0000000 [8,4,1,7,3,6,2,5]=>0000000=>0000000 [3,7,2,8,6,1,5,4]=>0000000=>0000000 [6,2,3,8,7,1,5,4]=>0000000=>0000000 [3,7,8,2,4,1,5,6]=>0000000=>0000000 [1,7,2,4,5,8,3,6]=>1000000=>0000001 [1,7,4,5,8,3,2,6]=>1000000=>0000001 [2,6,4,7,8,3,5,1]=>0000000=>0000000 [1,2,6,4,7,8,3,5]=>1100000=>0000011 [6,1,4,7,8,3,5,2]=>0000000=>0000000 [3,6,4,7,2,8,5,1]=>0000000=>0000000 [6,1,4,7,8,5,2,3]=>0000000=>0000000 [6,8,5,7,4,2,3,1]=>0000000=>0000000 [2,3,8,7,1,6,4,5]=>0000000=>0000000 [4,8,1,2,7,3,5,6]=>0000000=>0000000 [6,4,8,7,5,1,2,3]=>0000000=>0000000 [6,3,8,7,2,1,4,5]=>0000000=>0000000 [2,6,7,8,5,1,3,4]=>0000000=>0000000 [2,8,3,4,1,5,7,6]=>0000000=>0000000 [4,5,3,2,8,6,7,1]=>0000000=>0000000 [3,5,8,6,1,4,7,2]=>0000000=>0000000 [2,6,4,8,5,1,7,3]=>0000000=>0000000 [7,5,3,2,8,6,1,4]=>0000000=>0000000 [4,5,1,2,8,6,7,3]=>0000000=>0000000 [1,6,4,8,3,2,5,7]=>1000000=>0000001 [1,8,3,5,6,2,4,7]=>1000000=>0000001 [1,4,8,5,6,2,3,7]=>1000000=>0000001 [6,1,4,8,2,3,5,7]=>0000000=>0000000 [8,7,2,5,6,1,4,3]=>0000000=>0000000 [1,8,2,5,4,7,3,6]=>1000000=>0000001 [5,7,4,1,2,3,8,6]=>0000000=>0000000 [1,7,4,2,5,3,8,6]=>1000000=>0000001 [6,7,4,2,1,3,8,5]=>0000000=>0000000 [6,4,3,8,5,7,1,2]=>0000000=>0000000 [7,4,3,6,2,1,5,8]=>0000001=>1000000 [7,2,5,3,4,1,6,8]=>0000001=>1000000 [8,3,7,4,5,6,1,2]=>0000000=>0000000 [2,7,4,3,1,5,6,8]=>0000001=>1000000 [6,8,4,2,3,1,5,7]=>0000000=>0000000 [2,1,7,4,8,3,5,6]=>0100000=>0000010 [5,2,8,6,1,3,4,7]=>0000000=>0000000 [2,8,3,1,4,5,6,7]=>0000000=>0000000 [7,4,8,2,3,1,5,6]=>0000000=>0000000 [4,2,7,3,1,5,6,8]=>0000001=>1000000 [8,3,7,2,1,4,5,6]=>0000000=>0000000 [6,5,2,4,7,1,3,8]=>0000001=>1000000 [6,5,7,4,1,8,2,3]=>0000000=>0000000 [8,6,4,1,3,7,2,5]=>0000000=>0000000 [6,4,3,1,8,2,5,7]=>0000000=>0000000 [4,8,1,3,5,7,2,6]=>0000000=>0000000 [7,8,4,1,3,6,2,5]=>0000000=>0000000 [6,5,8,1,3,7,2,4]=>0000000=>0000000 [5,3,6,1,8,2,4,7]=>0000000=>0000000 [4,7,3,1,8,2,5,6]=>0000000=>0000000 [8,3,1,7,2,4,5,6]=>0000000=>0000000 [2,8,1,4,7,3,5,6]=>0000000=>0000000 [3,1,8,5,4,7,6,2]=>0000000=>0000000 [4,1,5,8,3,7,6,2]=>0000000=>0000000 [4,1,5,3,8,7,6,2]=>0000000=>0000000 [4,5,1,8,2,7,6,3]=>0000000=>0000000 [4,8,5,3,1,7,6,2]=>0000000=>0000000 [4,5,2,8,1,7,6,3]=>0000000=>0000000 [4,6,2,8,7,1,5,3]=>0000000=>0000000 [4,8,6,3,7,1,5,2]=>0000000=>0000000 [4,6,8,2,7,5,1,3]=>0000000=>0000000 [4,6,2,8,7,5,1,3]=>0000000=>0000000 [5,6,2,7,4,1,8,3]=>0000000=>0000000 [5,6,7,2,3,1,8,4]=>0000000=>0000000 [5,6,7,2,8,3,1,4]=>0000000=>0000000 [5,6,7,2,1,8,3,4]=>0000000=>0000000 [5,6,7,2,1,3,8,4]=>0000000=>0000000 [5,6,1,7,8,2,4,3]=>0000000=>0000000 [5,6,1,7,2,4,8,3]=>0000000=>0000000 [4,1,6,8,7,3,5,2]=>0000000=>0000000 [4,1,6,8,7,5,3,2]=>0000000=>0000000 [5,6,1,7,8,4,2,3]=>0000000=>0000000 [4,6,8,1,7,5,2,3]=>0000000=>0000000 [4,8,6,1,7,5,3,2]=>0000000=>0000000 [5,6,7,1,8,3,2,4]=>0000000=>0000000 [5,6,7,1,3,8,2,4]=>0000000=>0000000 [5,6,7,1,3,2,8,4]=>0000000=>0000000 [5,6,7,3,1,2,8,4]=>0000000=>0000000 [5,6,8,7,4,2,1,3]=>0000000=>0000000 [1,3,7,5,8,2,6,4]=>1000000=>0000001 [3,1,7,5,8,2,6,4]=>0000000=>0000000 [3,5,7,1,8,4,6,2]=>0000000=>0000000 [5,2,8,1,7,3,4,6]=>0000000=>0000000 [5,8,3,2,7,1,4,6]=>0000000=>0000000 [5,1,8,3,7,2,4,6]=>0000000=>0000000 [5,1,8,4,6,2,3,7]=>0000000=>0000000 [4,8,5,2,6,1,3,7]=>0000000=>0000000 [4,1,7,5,6,2,8,3]=>0000000=>0000000 [5,7,4,3,8,1,6,2]=>0000000=>0000000 [5,7,4,3,8,2,6,1]=>0000000=>0000000 [3,8,4,2,6,7,5,1]=>0000000=>0000000 [3,8,4,1,6,7,5,2]=>0000000=>0000000 [6,1,7,5,2,8,4,3]=>0000000=>0000000 [5,6,4,3,2,8,1,7]=>0000000=>0000000 [2,6,7,5,3,8,4,1]=>0000000=>0000000 [2,1,6,7,5,3,8,4]=>0100000=>0000010 [3,8,4,2,1,6,7,5]=>0000000=>0000000 [5,7,4,3,8,2,1,6]=>0000000=>0000000 [6,7,4,8,1,2,5,3]=>0000000=>0000000 [6,7,5,8,1,2,4,3]=>0000000=>0000000 [6,7,4,8,3,1,2,5]=>0000000=>0000000 [6,1,3,4,8,2,5,7]=>0000000=>0000000 [6,2,3,4,8,1,5,7]=>0000000=>0000000 [3,4,8,2,1,5,7,6]=>0000000=>0000000 [6,7,5,8,3,1,4,2]=>0000000=>0000000 [2,5,7,6,1,4,8,3]=>0000000=>0000000 [6,7,4,8,2,3,5,1]=>0000000=>0000000 [6,7,4,8,1,3,5,2]=>0000000=>0000000 [2,6,7,5,1,3,8,4]=>0000000=>0000000 [6,3,1,4,8,2,5,7]=>0000000=>0000000 [6,7,4,8,1,3,2,5]=>0000000=>0000000 [6,7,5,8,4,1,3,2]=>0000000=>0000000 [6,7,4,8,2,1,3,5]=>0000000=>0000000 [6,7,4,8,1,2,3,5]=>0000000=>0000000 [7,8,3,2,6,1,4,5]=>0000000=>0000000 [3,4,8,2,6,1,7,5]=>0000000=>0000000 [7,8,4,1,5,6,3,2]=>0000000=>0000000 [7,8,1,2,6,3,4,5]=>0000000=>0000000 [7,8,5,1,4,6,3,2]=>0000000=>0000000 [5,3,8,4,1,6,7,2]=>0000000=>0000000 [6,2,4,8,1,5,3,7]=>0000000=>0000000 [3,4,8,5,1,6,7,2]=>0000000=>0000000 [5,3,8,1,4,6,7,2]=>0000000=>0000000 [4,2,6,8,1,5,3,7]=>0000000=>0000000 [7,4,2,8,1,5,3,6]=>0000000=>0000000 [6,1,7,5,8,4,3,2]=>0000000=>0000000 [1,2,7,8,5,3,4,6]=>1100000=>0000011 [6,3,7,8,5,4,1,2]=>0000000=>0000000 [6,1,5,7,8,4,3,2]=>0000000=>0000000 [1,7,5,6,8,4,3,2]=>1000000=>0000001 [3,1,8,4,5,6,7,2]=>0000000=>0000000 [4,2,1,8,6,5,3,7]=>0000000=>0000000 [3,2,7,8,5,1,4,6]=>0000000=>0000000 [2,3,7,8,5,1,4,6]=>0000000=>0000000 [2,7,3,8,5,1,4,6]=>0000000=>0000000 [3,6,2,8,5,1,4,7]=>0000000=>0000000 [1,4,2,8,7,5,3,6]=>1000000=>0000001 [7,3,6,8,5,4,1,2]=>0000000=>0000000 [7,2,1,8,5,3,4,6]=>0000000=>0000000 [1,2,6,8,4,5,3,7]=>1100000=>0000011 [7,1,6,5,8,4,3,2]=>0000000=>0000000 [6,5,7,1,8,4,3,2]=>0000000=>0000000 [5,7,6,1,8,4,3,2]=>0000000=>0000000 [6,7,1,5,8,4,3,2]=>0000000=>0000000 [7,1,2,8,4,5,3,6]=>0000000=>0000000 [7,6,1,5,8,4,3,2]=>0000000=>0000000 [7,5,6,1,8,4,3,2]=>0000000=>0000000 [9,10,7,8,5,6,2,1,3,4]=>000000000=>000000000 [9,10,7,8,4,3,5,6,1,2]=>000000000=>000000000 [9,10,7,8,4,2,5,1,3,6]=>000000000=>000000000 [9,10,7,8,3,2,1,4,5,6]=>000000000=>000000000 [9,10,6,5,7,8,3,4,1,2]=>000000000=>000000000 [9,10,6,5,7,8,2,1,3,4]=>000000000=>000000000 [9,10,6,4,7,3,5,8,1,2]=>000000000=>000000000 [9,10,6,4,7,2,5,1,3,8]=>000000000=>000000000 [9,10,6,3,7,2,1,4,5,8]=>000000000=>000000000 [9,10,5,4,3,6,7,8,1,2]=>000000000=>000000000 [9,10,5,4,2,6,7,1,3,8]=>000000000=>000000000 [9,10,5,3,2,6,1,4,7,8]=>000000000=>000000000 [9,10,4,3,2,1,5,6,7,8]=>000000000=>000000000 [8,7,9,10,5,6,3,4,1,2]=>000000000=>000000000 [8,7,9,10,5,6,2,1,3,4]=>000000000=>000000000 [8,7,9,10,4,3,5,6,1,2]=>000000000=>000000000 [8,7,9,10,4,2,5,1,3,6]=>000000000=>000000000 [8,7,9,10,3,2,1,4,5,6]=>000000000=>000000000 [8,6,9,5,7,10,3,4,1,2]=>000000000=>000000000 [8,6,9,5,7,10,2,1,3,4]=>000000000=>000000000 [8,6,9,4,7,3,5,10,1,2]=>000000000=>000000000 [8,6,9,3,7,2,1,4,5,10]=>000000001=>100000000 [8,5,9,4,3,6,7,10,1,2]=>000000000=>000000000 [8,5,9,4,2,6,7,1,3,10]=>000000001=>100000000 [8,5,9,3,2,6,1,4,7,10]=>000000001=>100000000 [8,4,9,3,2,1,5,6,7,10]=>000000001=>100000000 [7,6,5,8,9,10,3,4,1,2]=>000000000=>000000000 [7,6,5,8,9,10,2,1,3,4]=>000000000=>000000000 [7,6,4,8,9,3,5,10,1,2]=>000000000=>000000000 [7,6,4,8,9,2,5,1,3,10]=>000000001=>100000000 [7,6,3,8,9,2,1,4,5,10]=>000000001=>100000000 [7,5,4,8,3,6,9,10,1,2]=>000000000=>000000000 [7,5,4,8,2,6,9,1,3,10]=>000000001=>100000000 [7,4,3,8,2,1,5,6,9,10]=>000000011=>110000000 [6,5,4,2,7,8,9,1,3,10]=>000000001=>100000000 [6,5,3,2,7,8,1,4,9,10]=>000000011=>110000000 [11,12,9,10,7,8,5,6,2,1,3,4]=>00000000000=>00000000000 [11,12,9,10,7,8,4,3,5,6,1,2]=>00000000000=>00000000000 [11,12,9,10,7,8,4,2,5,1,3,6]=>00000000000=>00000000000 [11,12,9,10,7,8,3,2,1,4,5,6]=>00000000000=>00000000000 [11,12,9,10,6,5,7,8,3,4,1,2]=>00000000000=>00000000000 [11,12,9,10,6,5,7,8,2,1,3,4]=>00000000000=>00000000000 [11,12,9,10,6,4,7,3,5,8,1,2]=>00000000000=>00000000000 [11,12,9,10,6,4,7,2,5,1,3,8]=>00000000000=>00000000000 [11,12,9,10,6,3,7,2,1,4,5,8]=>00000000000=>00000000000 [11,12,9,10,5,4,3,6,7,8,1,2]=>00000000000=>00000000000 [11,12,9,10,5,4,2,6,7,1,3,8]=>00000000000=>00000000000 [11,12,9,10,5,3,2,6,1,4,7,8]=>00000000000=>00000000000 [11,12,9,10,4,3,2,1,5,6,7,8]=>00000000000=>00000000000 [11,12,8,7,9,10,5,6,3,4,1,2]=>00000000000=>00000000000 [11,12,8,7,9,10,5,6,2,1,3,4]=>00000000000=>00000000000 [11,12,8,7,9,10,4,3,5,6,1,2]=>00000000000=>00000000000 [11,12,8,7,9,10,4,2,5,1,3,6]=>00000000000=>00000000000 [11,12,8,7,9,10,3,2,1,4,5,6]=>00000000000=>00000000000 [11,12,8,6,9,5,7,10,3,4,1,2]=>00000000000=>00000000000 [11,12,8,6,9,5,7,10,2,1,3,4]=>00000000000=>00000000000 [11,12,8,6,9,4,7,3,5,10,1,2]=>00000000000=>00000000000 [11,12,8,6,9,4,7,2,5,1,3,10]=>00000000000=>00000000000 [11,12,8,6,9,3,7,2,1,4,5,10]=>00000000000=>00000000000 [11,12,8,5,9,4,3,6,7,10,1,2]=>00000000000=>00000000000 [11,12,8,5,9,4,2,6,7,1,3,10]=>00000000000=>00000000000 [11,12,8,5,9,3,2,6,1,4,7,10]=>00000000000=>00000000000 [11,12,8,4,9,3,2,1,5,6,7,10]=>00000000000=>00000000000 [11,12,7,6,5,8,9,10,3,4,1,2]=>00000000000=>00000000000 [11,12,7,6,5,8,9,10,2,1,3,4]=>00000000000=>00000000000 [11,12,7,6,4,8,9,3,5,10,1,2]=>00000000000=>00000000000 [11,12,7,6,4,8,9,2,5,1,3,10]=>00000000000=>00000000000 [11,12,7,6,3,8,9,2,1,4,5,10]=>00000000000=>00000000000 [11,12,7,5,4,8,3,6,9,10,1,2]=>00000000000=>00000000000 [11,12,7,5,4,8,2,6,9,1,3,10]=>00000000000=>00000000000 [11,12,7,5,3,8,2,6,1,4,9,10]=>00000000000=>00000000000 [11,12,7,4,3,8,2,1,5,6,9,10]=>00000000000=>00000000000 [11,12,6,5,4,3,7,8,9,10,1,2]=>00000000000=>00000000000 [11,12,6,5,4,2,7,8,9,1,3,10]=>00000000000=>00000000000 [11,12,6,5,3,2,7,8,1,4,9,10]=>00000000000=>00000000000 [11,12,6,4,3,2,7,1,5,8,9,10]=>00000000000=>00000000000 [11,12,5,4,3,2,1,6,7,8,9,10]=>00000000000=>00000000000 [10,9,11,12,7,8,5,6,3,4,1,2]=>00000000000=>00000000000 [10,9,11,12,7,8,5,6,2,1,3,4]=>00000000000=>00000000000 [10,9,11,12,7,8,4,3,5,6,1,2]=>00000000000=>00000000000 [10,9,11,12,7,8,4,2,5,1,3,6]=>00000000000=>00000000000 [10,9,11,12,7,8,3,2,1,4,5,6]=>00000000000=>00000000000 [10,9,11,12,6,5,7,8,3,4,1,2]=>00000000000=>00000000000 [10,9,11,12,6,5,7,8,2,1,3,4]=>00000000000=>00000000000 [10,9,11,12,6,4,7,3,5,8,1,2]=>00000000000=>00000000000 [10,9,11,12,6,4,7,2,5,1,3,8]=>00000000000=>00000000000 [10,9,11,12,6,3,7,2,1,4,5,8]=>00000000000=>00000000000 [10,9,11,12,5,4,3,6,7,8,1,2]=>00000000000=>00000000000 [10,9,11,12,5,4,2,6,7,1,3,8]=>00000000000=>00000000000 [10,9,11,12,5,3,2,6,1,4,7,8]=>00000000000=>00000000000 [10,9,11,12,4,3,2,1,5,6,7,8]=>00000000000=>00000000000 [10,8,11,7,9,12,5,6,3,4,1,2]=>00000000000=>00000000000 [10,8,11,7,9,12,5,6,2,1,3,4]=>00000000000=>00000000000 [10,8,11,7,9,12,4,3,5,6,1,2]=>00000000000=>00000000000 [10,8,11,7,9,12,4,2,5,1,3,6]=>00000000000=>00000000000 [10,8,11,7,9,12,3,2,1,4,5,6]=>00000000000=>00000000000 [10,8,11,6,9,5,7,12,3,4,1,2]=>00000000000=>00000000000 [10,8,11,6,9,5,7,12,2,1,3,4]=>00000000000=>00000000000 [10,8,11,6,9,4,7,3,5,12,1,2]=>00000000000=>00000000000 [10,8,11,6,9,4,7,2,5,1,3,12]=>00000000001=>10000000000 [10,8,11,6,9,3,7,2,1,4,5,12]=>00000000001=>10000000000 [10,8,11,5,9,4,3,6,7,12,1,2]=>00000000000=>00000000000 [10,8,11,5,9,4,2,6,7,1,3,12]=>00000000001=>10000000000 [10,8,11,5,9,3,2,6,1,4,7,12]=>00000000001=>10000000000 [10,8,11,4,9,3,2,1,5,6,7,12]=>00000000001=>10000000000 [10,7,11,6,5,8,9,12,3,4,1,2]=>00000000000=>00000000000 [10,7,11,6,5,8,9,12,2,1,3,4]=>00000000000=>00000000000 [10,7,11,6,4,8,9,3,5,12,1,2]=>00000000000=>00000000000 [10,7,11,6,4,8,9,2,5,1,3,12]=>00000000001=>10000000000 [10,7,11,6,3,8,9,2,1,4,5,12]=>00000000001=>10000000000 [10,7,11,5,4,8,3,6,9,12,1,2]=>00000000000=>00000000000 [10,7,11,5,4,8,2,6,9,1,3,12]=>00000000001=>10000000000 [10,7,11,5,3,8,2,6,1,4,9,12]=>00000000001=>10000000000 [10,7,11,4,3,8,2,1,5,6,9,12]=>00000000001=>10000000000 [10,6,11,5,4,3,7,8,9,12,1,2]=>00000000000=>00000000000 [10,6,11,5,4,2,7,8,9,1,3,12]=>00000000001=>10000000000 [10,6,11,5,3,2,7,8,1,4,9,12]=>00000000001=>10000000000 [10,6,11,4,3,2,7,1,5,8,9,12]=>00000000001=>10000000000 [10,5,11,4,3,2,1,6,7,8,9,12]=>00000000001=>10000000000 [9,8,7,10,11,12,5,6,3,4,1,2]=>00000000000=>00000000000 [9,8,7,10,11,12,5,6,2,1,3,4]=>00000000000=>00000000000 [9,8,7,10,11,12,4,3,5,6,1,2]=>00000000000=>00000000000 [9,8,7,10,11,12,4,2,5,1,3,6]=>00000000000=>00000000000 [9,8,7,10,11,12,3,2,1,4,5,6]=>00000000000=>00000000000 [9,8,6,10,11,5,7,12,3,4,1,2]=>00000000000=>00000000000 [9,8,6,10,11,5,7,12,2,1,3,4]=>00000000000=>00000000000 [9,8,6,10,11,4,7,3,5,12,1,2]=>00000000000=>00000000000 [9,8,6,10,11,4,7,2,5,1,3,12]=>00000000001=>10000000000 [9,8,6,10,11,3,7,2,1,4,5,12]=>00000000001=>10000000000 [9,8,5,10,11,4,3,6,7,12,1,2]=>00000000000=>00000000000 [9,8,5,10,11,4,2,6,7,1,3,12]=>00000000001=>10000000000 [9,8,5,10,11,3,2,6,1,4,7,12]=>00000000001=>10000000000 [9,8,4,10,11,3,2,1,5,6,7,12]=>00000000001=>10000000000 [9,7,6,10,5,8,11,12,3,4,1,2]=>00000000000=>00000000000 [9,7,6,10,5,8,11,12,2,1,3,4]=>00000000000=>00000000000 [9,7,6,10,4,8,11,3,5,12,1,2]=>00000000000=>00000000000 [9,7,6,10,4,8,11,2,5,1,3,12]=>00000000001=>10000000000 [9,7,6,10,3,8,11,2,1,4,5,12]=>00000000001=>10000000000 [9,7,5,10,4,8,3,6,11,12,1,2]=>00000000000=>00000000000 [9,7,5,10,4,8,2,6,11,1,3,12]=>00000000001=>10000000000 [9,7,5,10,3,8,2,6,1,4,11,12]=>00000000011=>11000000000 [9,7,4,10,3,8,2,1,5,6,11,12]=>00000000011=>11000000000 [9,6,5,10,4,3,7,8,11,12,1,2]=>00000000000=>00000000000 [9,6,5,10,4,2,7,8,11,1,3,12]=>00000000001=>10000000000 [9,6,5,10,3,2,7,8,1,4,11,12]=>00000000011=>11000000000 [9,6,4,10,3,2,7,1,5,8,11,12]=>00000000011=>11000000000 [9,5,4,10,3,2,1,6,7,8,11,12]=>00000000011=>11000000000 [8,7,6,5,9,10,11,12,3,4,1,2]=>00000000000=>00000000000 [8,7,6,5,9,10,11,12,2,1,3,4]=>00000000000=>00000000000 [8,7,6,4,9,10,11,3,5,12,1,2]=>00000000000=>00000000000 [8,7,6,4,9,10,11,2,5,1,3,12]=>00000000001=>10000000000 [8,7,6,3,9,10,11,2,1,4,5,12]=>00000000001=>10000000000 [8,7,5,4,9,10,3,6,11,12,1,2]=>00000000000=>00000000000 [8,7,5,4,9,10,2,6,11,1,3,12]=>00000000001=>10000000000 [8,7,5,3,9,10,2,6,1,4,11,12]=>00000000011=>11000000000 [8,7,4,3,9,10,2,1,5,6,11,12]=>00000000011=>11000000000 [8,6,5,4,9,3,7,10,11,12,1,2]=>00000000000=>00000000000 [8,6,5,4,9,2,7,10,11,1,3,12]=>00000000001=>10000000000 [8,6,5,3,9,2,7,10,1,4,11,12]=>00000000011=>11000000000 [7,6,5,4,3,8,9,10,11,12,1,2]=>00000000000=>00000000000 [7,6,5,4,2,8,9,10,11,1,3,12]=>00000000001=>10000000000 [7,6,5,3,2,8,9,10,1,4,11,12]=>00000000011=>11000000000 [6,5,4,3,2,1,7,8,9,10,11,12]=>00000111111=>11111100000 [1,8,7,5,3,2,4,6]=>1000000=>0000001 [1,8,7,4,2,5,3,6]=>1000000=>0000001 [5,3,7,1,6,4,2,8]=>0000001=>1000000 [1,5,3,8,7,4,2,6]=>1000000=>0000001 [1,8,6,3,5,7,4,2]=>1000000=>0000001 [1,8,6,3,2,4,7,5]=>1000000=>0000001 [1,7,5,8,6,3,2,4]=>1000000=>0000001 [1,7,4,2,5,8,6,3]=>1000000=>0000001 [8,7,4,2,5,3,1,6]=>0000000=>0000000 [1,8,5,2,7,4,6,3]=>1000000=>0000001 [1,7,4,6,3,8,5,2]=>1000000=>0000001 [4,1,8,5,7,3,2,6]=>0000000=>0000000 [4,7,2,8,3,6,1,5]=>0000000=>0000000 [1,8,5,4,2,3,7,6]=>1000000=>0000001 [3,5,4,8,1,2,7,6]=>0000000=>0000000 [5,6,3,8,7,1,2,4]=>0000000=>0000000 [2,6,8,4,1,7,3,5]=>0000000=>0000000 [1,8,7,4,2,6,3,5]=>1000000=>0000001 [5,2,8,6,7,1,3,4]=>0000000=>0000000 [6,2,8,7,5,1,3,4]=>0000000=>0000000 [1,8,5,7,6,2,3,4]=>1000000=>0000001 [1,8,6,7,5,2,3,4]=>1000000=>0000001 [5,2,8,7,1,4,3,6]=>0000000=>0000000 [6,1,7,3,2,8,5,4]=>0000000=>0000000 [4,7,2,1,6,3,8,5]=>0000000=>0000000 [6,1,8,3,7,5,2,4]=>0000000=>0000000 [6,1,8,4,5,2,7,3]=>0000000=>0000000 [3,5,2,7,1,6,8,4]=>0000000=>0000000 [6,1,4,2,5,3,7,8]=>0000011=>1100000 [1,3,7,5,4,2,8,6]=>1000000=>0000001 [6,1,3,5,4,2,7,8]=>0000011=>1100000 [6,1,2,5,4,7,3,8]=>0000001=>1000000 [5,2,6,3,4,7,1,8]=>0000001=>1000000 [2,4,7,1,5,3,8,6]=>0000000=>0000000 [2,3,6,7,4,8,1,5]=>0000000=>0000000 [1,3,6,7,4,8,5,2]=>1000000=>0000001 [2,7,6,5,3,1,8,4]=>0000000=>0000000 [5,2,6,1,4,7,8,3]=>0000000=>0000000 [4,7,6,5,2,1,8,3]=>0000000=>0000000 [6,3,1,5,4,7,8,2]=>0000000=>0000000 [5,3,6,1,4,2,7,8]=>0000011=>1100000 [1,7,4,2,6,3,8,5]=>1000000=>0000001 [5,7,4,1,2,3,6,8]=>0000001=>1000000 [6,4,1,2,5,3,7,8]=>0000011=>1100000 [4,7,6,3,8,5,1,2]=>0000000=>0000000 [3,7,6,5,2,8,1,4]=>0000000=>0000000 [3,7,6,5,1,2,8,4]=>0000000=>0000000 [4,7,2,6,1,3,8,5]=>0000000=>0000000 [2,7,6,5,8,1,4,3]=>0000000=>0000000 [4,2,6,8,3,1,5,7]=>0000000=>0000000 [3,7,6,2,4,5,1,8]=>0000001=>1000000 [2,3,6,5,8,1,4,7]=>0000000=>0000000 [2,3,5,8,6,1,4,7]=>0000000=>0000000 [4,2,3,8,6,1,5,7]=>0000000=>0000000 [1,2,3,7,4,6,8,5]=>1110000=>0000111 [3,2,7,1,4,5,8,6]=>0000000=>0000000 [2,1,5,3,8,7,4,6]=>0100000=>0000010 [5,8,3,2,4,1,6,7]=>0000000=>0000000 [4,2,7,1,8,3,5,6]=>0000000=>0000000 [1,2,7,5,3,8,4,6]=>1100000=>0000011 [3,2,7,1,4,8,5,6]=>0000000=>0000000 [1,2,3,7,6,8,4,5]=>1110000=>0000111 [1,2,3,6,8,7,4,5]=>1110000=>0000111 [1,2,3,7,8,4,6,5]=>1110000=>0000111 [1,2,3,6,8,4,7,5]=>1110000=>0000111 [6,2,8,3,7,5,1,4]=>0000000=>0000000 [4,2,8,3,7,5,6,1]=>0000000=>0000000 [7,3,4,8,6,5,1,2]=>0000000=>0000000 [5,3,4,8,7,2,6,1]=>0000000=>0000000 [4,6,3,8,5,7,2,1]=>0000000=>0000000 [7,5,3,8,6,2,4,1]=>0000000=>0000000 [2,6,8,3,7,4,5,1]=>0000000=>0000000 [2,5,8,3,7,4,6,1]=>0000000=>0000000 [7,4,3,8,6,2,5,1]=>0000000=>0000000 [3,5,4,8,7,2,6,1]=>0000000=>0000000 [4,5,3,8,6,7,2,1]=>0000000=>0000000 [3,6,7,8,4,5,2,1]=>0000000=>0000000 [1,8,5,6,4,7,3,2]=>1000000=>0000001 [2,5,8,6,4,7,3,1]=>0000000=>0000000 [6,3,7,8,4,5,2,1]=>0000000=>0000000 [4,3,7,8,5,6,2,1]=>0000000=>0000000 [4,2,8,6,5,7,3,1]=>0000000=>0000000 [3,2,8,6,7,4,5,1]=>0000000=>0000000 [2,3,8,7,5,4,6,1]=>0000000=>0000000 [1,8,2,7,4,5,6,3]=>1000000=>0000001 [7,2,8,6,3,4,5,1]=>0000000=>0000000 [6,2,8,4,5,7,3,1]=>0000000=>0000000 [5,2,8,4,6,7,3,1]=>0000000=>0000000 [4,3,6,8,5,7,2,1]=>0000000=>0000000 [3,4,6,8,7,2,5,1]=>0000000=>0000000 [7,3,5,8,6,2,4,1]=>0000000=>0000000 [1,8,3,5,7,4,6,2]=>1000000=>0000001 [2,7,8,4,5,6,3,1]=>0000000=>0000000 [3,7,5,8,4,6,2,1]=>0000000=>0000000 [5,7,4,6,8,3,2,1]=>0000000=>0000000 [3,6,5,8,4,7,2,1]=>0000000=>0000000 [2,6,8,4,5,7,3,1]=>0000000=>0000000 [4,2,7,1,3,8,5,6]=>0000000=>0000000 [4,2,5,1,3,8,6,7]=>0000100=>0010000 [5,3,6,1,7,2,4,8]=>0000001=>1000000 [3,7,1,2,5,8,6,4]=>0000000=>0000000 [3,7,4,1,2,8,5,6]=>0000000=>0000000 [7,5,1,3,4,8,6,2]=>0000000=>0000000 [7,5,1,2,4,8,6,3]=>0000000=>0000000 [6,4,2,3,7,1,5,8]=>0000001=>1000000 [7,6,3,8,1,2,5,4]=>0000000=>0000000 [7,4,2,3,8,1,6,5]=>0000000=>0000000 [4,7,5,2,8,1,3,6]=>0000000=>0000000 [8,2,6,3,7,1,4,5]=>0000000=>0000000 [8,6,1,2,7,4,5,3]=>0000000=>0000000 [8,4,7,1,2,3,6,5]=>0000000=>0000000 [8,5,7,1,2,4,6,3]=>0000000=>0000000 [3,8,5,6,1,2,4,7]=>0000000=>0000000 [3,7,5,8,1,2,4,6]=>0000000=>0000000 [7,6,4,8,1,3,5,2]=>0000000=>0000000 [6,5,8,1,2,4,7,3]=>0000000=>0000000 [3,6,8,1,2,5,7,4]=>0000000=>0000000 [4,6,3,8,1,2,5,7]=>0000000=>0000000 [4,6,3,7,1,2,5,8]=>0000001=>1000000 [4,1,7,8,2,3,6,5]=>0000000=>0000000 [5,1,2,8,6,3,4,7]=>0000000=>0000000 [5,3,8,1,6,2,4,7]=>0000000=>0000000 [6,1,8,5,2,3,4,7]=>0000000=>0000000 [6,1,7,5,2,3,4,8]=>0000001=>1000000 [6,8,1,3,7,4,5,2]=>0000000=>0000000 [7,2,8,1,6,3,4,5]=>0000000=>0000000 [4,7,8,2,5,1,3,6]=>0000000=>0000000 [6,8,2,7,1,4,5,3]=>0000000=>0000000 [4,8,7,1,3,5,6,2]=>0000000=>0000000 [3,8,7,1,2,4,6,5]=>0000000=>0000000 [4,8,7,1,2,3,6,5]=>0000000=>0000000 [5,8,7,1,2,4,6,3]=>0000000=>0000000 [5,8,7,1,3,4,6,2]=>0000000=>0000000 [7,1,8,6,2,3,5,4]=>0000000=>0000000 [5,8,6,4,1,2,3,7]=>0000000=>0000000 [5,1,3,4,6,7,2,8]=>0000001=>1000000 [1,3,4,8,7,5,2,6]=>1000000=>0000001 [8,2,4,1,7,3,5,6]=>0000000=>0000000 [8,6,1,4,2,3,7,5]=>0000000=>0000000 [3,6,1,4,2,8,7,5]=>0000000=>0000000 [1,6,8,4,3,7,2,5]=>1000000=>0000001 [3,1,4,7,8,5,2,6]=>0000000=>0000000 [6,1,7,4,3,8,2,5]=>0000000=>0000000 [1,8,7,4,3,6,2,5]=>1000000=>0000001 [7,4,1,3,8,2,6,5]=>0000000=>0000000 [4,8,2,3,1,5,7,6]=>0000000=>0000000 [4,8,6,2,1,3,7,5]=>0000000=>0000000 [2,7,4,1,8,3,5,6]=>0000000=>0000000 [1,7,8,4,2,3,6,5]=>1000000=>0000001 [8,7,1,3,4,2,6,5]=>0000000=>0000000 [1,7,4,3,6,2,8,5]=>1000000=>0000001 [3,8,6,4,5,2,1,7]=>0000000=>0000000 [3,8,4,6,5,2,1,7]=>0000000=>0000000 [2,4,3,7,5,8,1,6]=>0000000=>0000000 [1,4,7,3,6,2,8,5]=>1000000=>0000001 [6,4,1,3,7,2,8,5]=>0000000=>0000000 [8,1,4,3,6,2,7,5]=>0000000=>0000000 [4,2,3,8,5,7,1,6]=>0000000=>0000000 [2,8,5,7,3,4,1,6]=>0000000=>0000000 [5,8,2,6,4,3,1,7]=>0000000=>0000000 [7,2,5,8,4,3,1,6]=>0000000=>0000000 [4,2,3,5,8,7,1,6]=>0000000=>0000000 [8,2,3,5,4,7,1,6]=>0000000=>0000000 [6,1,8,3,4,2,7,5]=>0000000=>0000000 [1,8,6,4,2,3,7,5]=>1000000=>0000001 [3,8,4,5,6,2,1,7]=>0000000=>0000000 [3,8,6,5,4,2,1,7]=>0000000=>0000000 [6,3,1,4,2,8,7,5]=>0000000=>0000000 [7,3,8,1,2,6,4,5]=>0000000=>0000000 [7,1,4,5,3,2,6,8]=>0000001=>1000000 [1,8,4,2,6,5,3,7]=>1000000=>0000001 [5,1,4,8,6,3,2,7]=>0000000=>0000000 [5,3,1,8,4,7,2,6]=>0000000=>0000000 [4,3,8,1,5,7,2,6]=>0000000=>0000000 [6,3,1,2,5,7,4,8]=>0000001=>1000000 [7,1,4,2,6,5,3,8]=>0000001=>1000000 [3,8,4,1,6,5,2,7]=>0000000=>0000000 [8,7,2,4,5,1,6,3]=>0000000=>0000000 [7,1,5,4,8,6,3,2]=>0000000=>0000000 [5,7,1,4,8,6,3,2]=>0000000=>0000000 [6,5,3,7,4,8,2,1]=>0000000=>0000000 [2,7,8,4,5,1,6,3]=>0000000=>0000000 [5,6,3,8,1,4,7,2]=>0000000=>0000000 [8,7,3,1,5,4,2,6]=>0000000=>0000000 [3,5,4,7,6,1,2,8]=>0000001=>1000000 [3,5,7,4,6,1,8,2]=>0000000=>0000000 [3,5,7,4,6,1,2,8]=>0000001=>1000000 [3,5,7,4,6,2,1,8]=>0000001=>1000000 [3,5,2,7,6,4,1,8]=>0000001=>1000000 [3,5,7,2,6,4,1,8]=>0000001=>1000000 [5,3,7,6,1,2,8,4]=>0000000=>0000000 [5,3,7,6,1,4,2,8]=>0000001=>1000000 [5,3,7,6,4,1,2,8]=>0000001=>1000000 [3,5,7,2,6,1,4,8]=>0000001=>1000000 [3,5,2,7,6,1,4,8]=>0000001=>1000000 [5,3,7,6,4,1,8,2]=>0000000=>0000000 [3,7,5,4,1,8,2,6]=>0000000=>0000000 [3,7,5,4,1,8,6,2]=>0000000=>0000000 [3,7,5,1,4,8,6,2]=>0000000=>0000000 [3,7,5,1,4,8,2,6]=>0000000=>0000000 [3,5,7,1,2,6,8,4]=>0000000=>0000000 [3,5,7,2,1,6,4,8]=>0000001=>1000000 [5,3,7,1,6,2,4,8]=>0000001=>1000000 [3,5,7,1,4,6,8,2]=>0000000=>0000000 [3,5,7,1,4,2,6,8]=>0000001=>1000000 [3,5,7,4,1,2,6,8]=>0000001=>1000000 [3,5,4,7,1,6,8,2]=>0000000=>0000000 [3,5,4,7,1,2,6,8]=>0000001=>1000000 [3,5,4,7,2,1,6,8]=>0000001=>1000000 [3,5,4,2,7,1,6,8]=>0000001=>1000000 [3,5,4,7,2,1,8,6]=>0000000=>0000000 [3,5,4,7,1,2,8,6]=>0000000=>0000000 [5,7,6,3,1,8,4,2]=>0000000=>0000000 [5,7,6,3,1,8,2,4]=>0000000=>0000000 [3,5,7,4,1,2,8,6]=>0000000=>0000000 [3,5,7,4,2,1,8,6]=>0000000=>0000000 [3,2,5,7,4,1,8,6]=>0000000=>0000000 [3,2,5,7,1,4,8,6]=>0000000=>0000000 [3,5,2,7,1,4,8,6]=>0000000=>0000000 [3,5,7,2,1,4,8,6]=>0000000=>0000000 [3,5,7,1,4,2,8,6]=>0000000=>0000000 [3,7,5,2,1,8,6,4]=>0000000=>0000000 [3,7,2,5,1,8,6,4]=>0000000=>0000000 [3,2,7,5,1,8,6,4]=>0000000=>0000000 [3,2,7,5,1,8,4,6]=>0000000=>0000000 [3,7,2,5,1,8,4,6]=>0000000=>0000000 [3,7,5,2,1,8,4,6]=>0000000=>0000000 [3,8,4,1,7,6,5,2]=>0000000=>0000000 [5,8,2,4,1,6,3,7]=>0000000=>0000000 [3,2,6,8,1,5,4,7]=>0000000=>0000000 [3,2,6,8,7,1,5,4]=>0000000=>0000000 [8,7,3,2,5,6,1,4]=>0000000=>0000000 [7,2,4,1,8,3,6,5]=>0000000=>0000000 [1,7,2,3,6,8,5,4]=>1000000=>0000001 [3,5,6,4,8,2,7,1]=>0000000=>0000000 [3,5,1,4,8,2,7,6]=>0000000=>0000000 [1,7,5,4,8,2,6,3]=>1000000=>0000001 [3,7,5,1,6,4,8,2]=>0000000=>0000000 [2,7,5,4,8,1,3,6]=>0000000=>0000000 [2,7,5,4,8,6,1,3]=>0000000=>0000000 [1,7,5,4,8,6,3,2]=>1000000=>0000001 [2,5,1,4,8,7,3,6]=>0000000=>0000000 [3,6,4,2,8,7,1,5]=>0000000=>0000000 [3,5,2,4,8,1,6,7]=>0000000=>0000000 [4,5,6,1,7,3,8,2]=>0000000=>0000000 [3,5,6,4,8,1,2,7]=>0000000=>0000000 [1,5,6,4,8,7,2,3]=>1000000=>0000001 [3,6,4,1,8,7,2,5]=>0000000=>0000000 [3,6,4,5,8,7,2,1]=>0000000=>0000000 [1,6,4,3,8,5,2,7]=>1000000=>0000001 [7,6,1,4,5,3,8,2]=>0000000=>0000000 [7,6,1,3,5,4,8,2]=>0000000=>0000000 [7,1,3,2,5,8,4,6]=>0000000=>0000000 [1,6,4,2,8,5,3,7]=>1000000=>0000001 [7,6,5,8,3,1,4,2]=>0000000=>0000000 [2,6,4,3,8,1,7,5]=>0000000=>0000000 [2,6,4,3,8,5,7,1]=>0000000=>0000000 [7,2,3,1,5,8,6,4]=>0000000=>0000000 [7,1,5,6,3,8,4,2]=>0000000=>0000000 [7,3,6,5,1,4,8,2]=>0000000=>0000000 [7,2,6,5,3,8,1,4]=>0000000=>0000000 [7,2,3,1,4,8,6,5]=>0000000=>0000000 [7,2,3,5,4,8,6,1]=>0000000=>0000000 [2,6,4,5,8,1,7,3]=>0000000=>0000000 [1,5,6,4,8,3,7,2]=>1000000=>0000001 [2,5,6,4,8,3,1,7]=>0000000=>0000000 [3,5,6,1,4,7,8,2]=>0000000=>0000000 [7,6,1,3,4,5,8,2]=>0000000=>0000000 [7,1,3,2,4,8,5,6]=>0000000=>0000000 [7,6,1,5,3,4,8,2]=>0000000=>0000000 [7,6,1,5,4,3,8,2]=>0000000=>0000000 [1,6,4,5,8,3,2,7]=>1000000=>0000001 [7,6,5,8,1,3,2,4]=>0000000=>0000000 [3,4,6,8,7,2,1,5]=>0000000=>0000000 [3,5,6,8,2,1,7,4]=>0000000=>0000000 [4,2,1,5,3,7,8,6]=>0000100=>0010000 [4,2,5,6,3,1,8,7]=>0000010=>0100000 [3,5,6,8,1,7,2,4]=>0000000=>0000000 [4,1,5,6,3,2,8,7]=>0000010=>0100000 [4,5,3,1,7,2,8,6]=>0000000=>0000000 [4,1,3,5,2,7,8,6]=>0000100=>0010000 [2,5,4,7,3,8,6,1]=>0000000=>0000000 [3,5,7,1,8,4,2,6]=>0000000=>0000000 [4,1,5,3,2,7,8,6]=>0000100=>0010000 [4,5,3,7,1,2,8,6]=>0000000=>0000000 [4,3,6,1,2,7,5,8]=>0000001=>1000000 [5,1,3,2,4,6,7,8]=>0000111=>1110000 [3,6,1,7,4,5,2,8]=>0000001=>1000000 [5,3,1,4,2,6,7,8]=>0000111=>1110000 [4,5,2,3,7,1,8,6]=>0000000=>0000000 [4,2,6,1,3,7,5,8]=>0000001=>1000000 [4,6,2,1,3,7,5,8]=>0000001=>1000000 [3,6,2,1,7,4,8,5]=>0000000=>0000000 [3,1,4,7,6,5,2,8]=>0000001=>1000000 [3,6,2,7,1,5,8,4]=>0000000=>0000000 [4,6,2,7,1,3,5,8]=>0000001=>1000000 [3,5,7,1,8,2,6,4]=>0000000=>0000000 [5,1,4,2,3,6,7,8]=>0000111=>1110000 [2,6,5,3,4,7,8,1]=>0000000=>0000000 [3,6,1,7,5,4,2,8]=>0000001=>1000000 [5,1,4,3,2,6,7,8]=>0000111=>1110000 [5,4,1,3,2,6,7,8]=>0000111=>1110000 [6,7,4,8,5,1,3,2]=>0000000=>0000000 [3,6,5,8,7,1,4,2]=>0000000=>0000000 [5,6,8,3,1,7,4,2]=>0000000=>0000000 [5,3,8,1,7,2,6,4]=>0000000=>0000000 [6,5,3,8,2,7,4,1]=>0000000=>0000000 [6,4,8,1,3,7,5,2]=>0000000=>0000000 [4,2,8,7,6,3,1,5]=>0000000=>0000000 [7,6,3,1,8,4,2,5]=>0000000=>0000000 [5,2,7,4,1,8,6,3]=>0000000=>0000000 [1,3,7,6,5,8,2,4]=>1000000=>0000001 [6,3,1,4,7,5,2,8]=>0000001=>1000000 [4,6,7,2,5,3,1,8]=>0000001=>1000000 [4,2,6,8,7,1,5,3]=>0000000=>0000000 [6,3,7,1,2,8,5,4]=>0000000=>0000000 [1,8,2,3,6,5,4,7]=>1000000=>0000001 [3,5,8,4,7,2,6,1]=>0000000=>0000000 [1,8,5,4,6,2,3,7]=>1000000=>0000001 [3,8,5,4,6,1,2,7]=>0000000=>0000000 [3,8,5,1,6,4,2,7]=>0000000=>0000000 [2,8,5,4,6,1,3,7]=>0000000=>0000000 [2,8,5,4,6,3,1,7]=>0000000=>0000000 [1,8,5,4,6,3,2,7]=>1000000=>0000001 [2,5,8,4,7,3,6,1]=>0000000=>0000000 [3,6,4,2,7,8,5,1]=>0000000=>0000000 [3,6,4,2,7,8,1,5]=>0000000=>0000000 [3,5,4,1,6,2,7,8]=>0000011=>1100000 [4,5,8,1,7,6,2,3]=>0000000=>0000000 [3,5,8,4,7,1,6,2]=>0000000=>0000000 [1,5,8,4,7,3,6,2]=>1000000=>0000001 [3,6,4,1,7,8,5,2]=>0000000=>0000000 [3,6,4,8,7,5,2,1]=>0000000=>0000000 [1,6,4,3,7,8,5,2]=>1000000=>0000001 [7,6,1,3,8,4,2,5]=>0000000=>0000000 [1,6,4,2,7,8,3,5]=>1000000=>0000001 [2,6,4,3,7,1,8,5]=>0000000=>0000000 [2,6,4,1,7,8,3,5]=>0000000=>0000000 [7,2,3,4,8,6,5,1]=>0000000=>0000000 [7,2,3,1,8,6,4,5]=>0000000=>0000000 [7,2,3,4,1,6,8,5]=>0000000=>0000000 [1,2,4,3,8,5,7,6]=>1101000=>0001011 [7,3,8,6,1,4,2,5]=>0000000=>0000000 [7,2,8,6,3,4,1,5]=>0000000=>0000000 [7,2,3,1,5,6,8,4]=>0000000=>0000000 [7,2,3,8,5,6,4,1]=>0000000=>0000000 [2,6,4,8,7,1,5,3]=>0000000=>0000000 [1,5,8,4,7,6,2,3]=>1000000=>0000001 [3,5,8,1,6,7,2,4]=>0000000=>0000000 [7,6,1,3,5,8,2,4]=>0000000=>0000000 [7,1,3,2,5,6,8,4]=>0000000=>0000000 [7,1,3,8,2,6,5,4]=>0000000=>0000000 [7,6,1,8,5,4,2,3]=>0000000=>0000000 [4,3,7,1,6,5,8,2]=>0000000=>0000000 [5,2,6,4,8,1,7,3]=>0000000=>0000000 [5,3,7,4,8,1,6,2]=>0000000=>0000000 [4,3,7,1,6,2,8,5]=>0000000=>0000000 [4,1,7,8,6,3,2,5]=>0000000=>0000000 [1,2,6,8,3,7,4,5]=>1100000=>0000011 [6,8,2,4,1,3,7,5]=>0000000=>0000000 [6,1,2,7,5,8,4,3]=>0000000=>0000000 [4,5,2,6,8,3,7,1]=>0000000=>0000000 [6,8,4,1,5,3,7,2]=>0000000=>0000000 [8,3,6,1,5,7,4,2]=>0000000=>0000000 [2,4,6,7,8,1,5,3]=>0000000=>0000000 [7,4,3,8,6,2,1,5]=>0000000=>0000000 [4,3,6,2,1,8,5,7]=>0000000=>0000000 [4,6,2,3,7,5,8,1]=>0000000=>0000000 [8,4,5,3,2,1,7,6]=>0000000=>0000000 [6,4,8,3,2,7,1,5]=>0000000=>0000000 [5,8,3,7,2,1,6,4]=>0000000=>0000000 [1,2,6,5,8,7,3,4]=>1100000=>0000011 [5,6,3,4,8,7,2,1]=>0000000=>0000000 [6,5,3,4,8,7,2,1]=>0000000=>0000000 [7,5,3,8,4,6,2,1]=>0000000=>0000000 [8,5,3,7,4,6,2,1]=>0000000=>0000000 [5,8,1,2,3,4,7,6]=>0000000=>0000000 [4,3,8,7,5,6,2,1]=>0000000=>0000000 [5,8,3,7,4,6,2,1]=>0000000=>0000000 [6,8,7,3,4,5,2,1]=>0000000=>0000000 [8,6,2,3,5,1,4,7]=>0000000=>0000000 [8,2,4,5,7,3,1,6]=>0000000=>0000000 [2,6,3,8,7,5,4,1]=>0000000=>0000000 [8,2,3,7,5,4,1,6]=>0000000=>0000000 [8,2,6,3,5,4,1,7]=>0000000=>0000000 [8,6,1,5,2,4,3,7]=>0000000=>0000000 [8,6,2,4,1,5,3,7]=>0000000=>0000000 [8,4,1,6,5,3,2,7]=>0000000=>0000000 [8,3,6,1,5,4,2,7]=>0000000=>0000000 [8,3,2,6,5,4,1,7]=>0000000=>0000000 [8,3,2,5,7,4,1,6]=>0000000=>0000000 [8,3,1,7,5,4,2,6]=>0000000=>0000000 [6,1,3,8,7,5,4,2]=>0000000=>0000000 [3,6,1,8,7,5,4,2]=>0000000=>0000000 [3,8,1,5,7,6,4,2]=>0000000=>0000000 [3,5,2,8,7,6,4,1]=>0000000=>0000000 [3,4,8,2,7,6,5,1]=>0000000=>0000000 [3,4,8,7,1,6,5,2]=>0000000=>0000000 [8,1,3,5,7,6,4,2]=>0000000=>0000000 [4,1,8,5,7,6,3,2]=>0000000=>0000000 [8,2,7,1,4,5,6,3]=>0000000=>0000000 [8,1,7,3,4,6,2,5]=>0000000=>0000000 [8,3,1,7,2,6,5,4]=>0000000=>0000000 [3,8,2,4,7,6,5,1]=>0000000=>0000000 [2,8,3,7,4,6,5,1]=>0000000=>0000000 [8,2,3,7,1,6,5,4]=>0000000=>0000000 [8,2,7,1,3,6,5,4]=>0000000=>0000000 [8,1,7,2,6,4,3,5]=>0000000=>0000000 [8,1,7,5,2,4,3,6]=>0000000=>0000000 [8,2,3,7,4,6,1,5]=>0000000=>0000000 [2,4,8,5,7,6,3,1]=>0000000=>0000000 [8,2,4,3,7,6,1,5]=>0000000=>0000000 [8,2,7,3,5,1,4,6]=>0000000=>0000000 [8,2,7,4,3,1,5,6]=>0000000=>0000000 [8,2,1,5,7,6,4,3]=>0000000=>0000000 [6,1,8,2,7,5,4,3]=>0000000=>0000000 [8,1,5,2,7,6,4,3]=>0000000=>0000000 [8,1,7,2,4,6,5,3]=>0000000=>0000000 [8,2,4,1,7,6,5,3]=>0000000=>0000000 [4,2,8,3,7,6,5,1]=>0000000=>0000000 [4,8,2,1,7,6,5,3]=>0000000=>0000000 [5,1,8,7,2,6,4,3]=>0000000=>0000000 [5,8,1,3,7,6,2,4]=>0000000=>0000000 [8,2,5,4,1,7,6,3]=>0000000=>0000000 [5,1,4,8,7,6,3,2]=>0000000=>0000000 [8,1,4,3,7,6,5,2]=>0000000=>0000000 [4,8,1,3,7,6,5,2]=>0000000=>0000000 [4,3,8,1,7,6,5,2]=>0000000=>0000000 [6,2,8,1,5,7,3,4]=>0000000=>0000000 [7,3,2,8,5,6,1,4]=>0000000=>0000000 [4,7,6,5,1,3,8,2]=>0000000=>0000000 [1,7,6,3,2,8,4,5]=>1000000=>0000001 [5,4,2,1,7,3,6,8]=>0000001=>1000000 [3,7,6,2,8,4,5,1]=>0000000=>0000000 [4,3,6,8,5,1,2,7]=>0000000=>0000000 [2,7,1,5,8,4,3,6]=>0000000=>0000000 [7,1,2,6,3,5,4,8]=>0000001=>1000000 [6,7,8,4,2,5,3,1]=>0000000=>0000000 [4,7,3,1,2,6,8,5]=>0000000=>0000000 [3,8,5,6,4,2,7,1]=>0000000=>0000000 [3,2,6,4,7,8,5,1]=>0000000=>0000000 [5,2,1,4,7,8,3,6]=>0000000=>0000000 [5,6,2,7,3,4,8,1]=>0000000=>0000000 [1,5,8,6,4,2,3,7]=>1000000=>0000001 [1,6,2,3,5,8,7,4]=>1000000=>0000001 [4,3,8,2,5,7,1,6]=>0000000=>0000000 [6,7,2,3,1,5,8,4]=>0000000=>0000000 [4,7,5,8,6,3,1,2]=>0000000=>0000000 [7,3,2,5,8,1,6,4]=>0000000=>0000000 [2,4,8,3,7,1,5,6]=>0000000=>0000000 [5,2,8,4,1,6,3,7]=>0000000=>0000000 [7,6,5,2,1,8,4,3]=>0000000=>0000000 [2,7,5,1,8,3,6,4]=>0000000=>0000000 [5,7,1,3,2,4,8,6]=>0000000=>0000000 [4,2,7,6,3,5,8,1]=>0000000=>0000000 [8,1,7,4,2,3,5,6]=>0000000=>0000000 [8,6,5,1,7,4,3,2]=>0000000=>0000000 [7,6,4,1,3,5,8,2]=>0000000=>0000000 [8,2,3,7,1,4,5,6]=>0000000=>0000000 [5,6,2,7,4,3,1,8]=>0000001=>1000000 [4,8,6,5,1,2,7,3]=>0000000=>0000000 [4,8,6,5,1,2,3,7]=>0000000=>0000000 [5,8,2,6,1,4,7,3]=>0000000=>0000000 [3,8,7,5,6,1,4,2]=>0000000=>0000000 [7,4,6,5,1,3,8,2]=>0000000=>0000000 [4,6,3,8,7,5,1,2]=>0000000=>0000000 [2,8,4,1,5,7,6,3]=>0000000=>0000000 [1,8,4,2,5,7,6,3]=>1000000=>0000001 [2,8,5,4,1,7,6,3]=>0000000=>0000000 [2,5,8,3,7,1,6,4]=>0000000=>0000000 [1,8,5,2,4,7,6,3]=>1000000=>0000001 [1,4,6,2,8,7,5,3]=>1000000=>0000001 [7,8,2,4,1,6,5,3]=>0000000=>0000000 [2,4,6,1,8,7,5,3]=>0000000=>0000000 [2,8,4,5,1,7,6,3]=>0000000=>0000000 [3,5,8,1,7,6,2,4]=>0000000=>0000000 [3,5,8,2,7,6,1,4]=>0000000=>0000000 [2,1,6,8,7,5,3,4]=>0100000=>0000010 [1,8,2,4,5,7,6,3]=>1000000=>0000001 [1,3,8,2,5,7,6,4]=>1000000=>0000001 [2,3,8,1,5,7,6,4]=>0000000=>0000000 [2,6,1,8,7,5,3,4]=>0000000=>0000000 [1,6,2,8,7,5,3,4]=>1000000=>0000001 [1,6,3,8,7,5,2,4]=>1000000=>0000001 [2,6,3,8,7,5,1,4]=>0000000=>0000000 [3,2,8,1,5,7,6,4]=>0000000=>0000000 [3,1,8,2,5,7,6,4]=>0000000=>0000000 [2,1,8,3,5,7,6,4]=>0100000=>0000010 [7,8,2,1,4,6,5,3]=>0000000=>0000000 [2,3,6,8,7,5,1,4]=>0000000=>0000000 [3,1,6,8,7,2,5,4]=>0000000=>0000000 [3,8,4,5,1,6,2,7]=>0000000=>0000000 [6,1,4,5,7,2,3,8]=>0000001=>1000000 [8,1,4,7,6,3,2,5]=>0000000=>0000000 [8,3,1,6,4,7,2,5]=>0000000=>0000000 [5,3,8,6,2,7,1,4]=>0000000=>0000000 [8,3,6,1,5,7,2,4]=>0000000=>0000000 [6,8,1,4,5,2,3,7]=>0000000=>0000000 [1,5,8,4,6,2,3,7]=>1000000=>0000001 [5,6,8,1,4,2,3,7]=>0000000=>0000000 [5,7,4,8,1,2,3,6]=>0000000=>0000000 [4,7,8,1,2,6,3,5]=>0000000=>0000000 [8,7,1,5,6,2,3,4]=>0000000=>0000000 [1,6,5,8,7,2,3,4]=>1000000=>0000001 [3,7,1,6,2,4,8,5]=>0000000=>0000000 [5,1,2,7,6,8,3,4]=>0000000=>0000000 [1,7,6,5,8,2,3,4]=>1000000=>0000001 [1,6,8,5,7,2,3,4]=>1000000=>0000001 [7,5,1,2,6,8,3,4]=>0000000=>0000000 [6,1,5,2,7,8,3,4]=>0000000=>0000000 [5,1,2,6,8,7,3,4]=>0000000=>0000000 [1,8,6,2,5,7,3,4]=>1000000=>0000001 [5,7,8,1,2,6,3,4]=>0000000=>0000000 [8,1,5,7,6,2,3,4]=>0000000=>0000000 [3,7,1,2,8,4,6,5]=>0000000=>0000000 [1,5,8,7,6,2,3,4]=>1000000=>0000001 [7,8,6,1,5,2,3,4]=>0000000=>0000000 [2,6,4,7,5,3,8,1]=>0000000=>0000000 [2,6,8,7,5,3,1,4]=>0000000=>0000000 [6,4,1,7,5,2,8,3]=>0000000=>0000000 [1,3,8,5,2,7,4,6]=>1000000=>0000001 [1,3,8,6,7,2,4,5]=>1000000=>0000001 [2,8,3,7,6,1,4,5]=>0000000=>0000000 [1,3,8,7,6,2,4,5]=>1000000=>0000001 [1,4,6,8,7,2,3,5]=>1000000=>0000001 [7,6,4,8,5,1,3,2]=>0000000=>0000000 [4,6,5,7,2,8,1,3]=>0000000=>0000000 [5,3,6,7,8,1,4,2]=>0000000=>0000000 [6,3,2,8,5,4,1,7]=>0000000=>0000000 [4,3,5,1,2,7,6,8]=>0000101=>1010000 [7,3,2,1,6,4,5,8]=>0000001=>1000000 [2,8,6,1,7,4,3,5]=>0000000=>0000000 [2,5,4,6,1,3,7,8]=>0000011=>1100000 [2,5,6,4,1,3,7,8]=>0000011=>1100000 [8,5,2,6,1,3,7,4]=>0000000=>0000000 [7,1,2,6,5,4,3,8]=>0000001=>1000000 [8,2,1,5,6,3,7,4]=>0000000=>0000000 [2,8,5,1,6,4,7,3]=>0000000=>0000000 [5,6,3,8,7,4,1,2]=>0000000=>0000000 [5,2,6,8,7,4,1,3]=>0000000=>0000000 [5,2,3,1,4,8,6,7]=>0000100=>0010000 [5,4,1,3,2,8,6,7]=>0000100=>0010000 [5,1,3,4,2,8,6,7]=>0000100=>0010000 [4,2,7,3,8,5,1,6]=>0000000=>0000000 [1,3,2,6,4,8,7,5]=>1010000=>0000101 [1,6,2,5,3,8,7,4]=>1000000=>0000001 [1,8,2,6,3,7,5,4]=>1000000=>0000001 [1,8,3,6,4,7,5,2]=>1000000=>0000001 [1,7,2,6,3,8,5,4]=>1000000=>0000001 [1,5,2,7,4,8,6,3]=>1000000=>0000001 [1,4,2,8,5,7,6,3]=>1000000=>0000001 [1,5,3,8,4,7,6,2]=>1000000=>0000001 [6,8,7,3,1,5,4,2]=>0000000=>0000000 [2,5,8,7,4,6,3,1]=>0000000=>0000000 [6,8,4,1,5,2,7,3]=>0000000=>0000000 [4,8,7,5,1,6,2,3]=>0000000=>0000000 [4,5,2,1,8,6,7,3]=>0000000=>0000000 [2,6,7,4,1,3,8,5]=>0000000=>0000000 [2,4,6,3,5,7,8,1]=>0000000=>0000000 [2,3,6,1,5,7,8,4]=>0000000=>0000000 [1,4,5,8,6,3,2,7]=>1000000=>0000001 [5,2,6,3,1,7,8,4]=>0000000=>0000000 [5,7,6,1,2,3,8,4]=>0000000=>0000000 [4,3,6,2,1,8,7,5]=>0000000=>0000000 [5,3,6,4,8,2,1,7]=>0000000=>0000000 [3,7,4,5,1,6,2,8]=>0000001=>1000000 [3,6,4,5,8,2,1,7]=>0000000=>0000000 [6,1,4,5,2,8,7,3]=>0000000=>0000000 [7,2,4,5,1,6,3,8]=>0000001=>1000000 [7,5,4,1,6,3,2,8]=>0000001=>1000000 [1,5,4,8,6,3,2,7]=>1000000=>0000001 [7,5,4,8,6,3,1,2]=>0000000=>0000000 [1,8,7,5,3,6,4,2]=>1000000=>0000001 [8,3,7,4,1,6,2,5]=>0000000=>0000000 [8,5,4,1,6,3,2,7]=>0000000=>0000000 [1,7,4,2,6,5,3,8]=>1000001=>1000001 [8,2,1,5,6,7,3,4]=>0000000=>0000000 [6,3,1,8,4,7,2,5]=>0000000=>0000000 [7,1,4,8,6,3,2,5]=>0000000=>0000000 [4,1,8,5,6,7,2,3]=>0000000=>0000000 [5,7,4,8,6,2,1,3]=>0000000=>0000000 [5,3,6,8,2,7,1,4]=>0000000=>0000000 [6,3,7,4,8,2,1,5]=>0000000=>0000000 [5,3,6,1,4,7,2,8]=>0000001=>1000000 [4,3,6,8,2,7,1,5]=>0000000=>0000000 [5,3,7,4,8,2,1,6]=>0000000=>0000000 [5,3,8,4,1,6,2,7]=>0000000=>0000000 [5,3,8,1,4,7,2,6]=>0000000=>0000000 [5,8,4,1,6,3,2,7]=>0000000=>0000000 [7,3,8,4,1,6,2,5]=>0000000=>0000000 [1,5,8,3,6,7,4,2]=>1000000=>0000001 [1,8,2,5,6,7,3,4]=>1000000=>0000001 [7,8,4,1,6,5,2,3]=>0000000=>0000000 [6,3,8,1,5,7,2,4]=>0000000=>0000000 [8,3,1,2,5,7,4,6]=>0000000=>0000000 [8,1,4,2,6,5,3,7]=>0000000=>0000000 [3,8,5,6,2,7,1,4]=>0000000=>0000000 [2,4,5,8,7,3,1,6]=>0000000=>0000000 [4,5,1,8,6,7,3,2]=>0000000=>0000000 [3,4,5,8,7,1,2,6]=>0000000=>0000000 [6,5,4,7,1,3,8,2]=>0000000=>0000000 [6,1,4,7,2,3,8,5]=>0000000=>0000000 [1,6,2,5,4,8,3,7]=>1000000=>0000001 [4,1,2,7,5,8,3,6]=>0000000=>0000000 [6,1,3,5,8,2,4,7]=>0000000=>0000000 [5,6,4,3,1,8,2,7]=>0000000=>0000000 [6,2,3,5,8,1,4,7]=>0000000=>0000000 [6,7,2,3,8,4,5,1]=>0000000=>0000000 [6,7,2,1,3,8,4,5]=>0000000=>0000000 [5,7,4,1,8,3,2,6]=>0000000=>0000000 [4,1,7,5,8,3,6,2]=>0000000=>0000000 [6,7,1,3,8,4,5,2]=>0000000=>0000000 [1,6,7,4,3,8,5,2]=>1000000=>0000001 [6,1,7,4,2,8,5,3]=>0000000=>0000000 [2,1,6,7,4,3,8,5]=>0100000=>0000010 [6,7,3,2,1,8,4,5]=>0000000=>0000000 [2,5,7,3,1,4,8,6]=>0000000=>0000000 [6,7,3,2,8,4,5,1]=>0000000=>0000000 [2,6,7,4,3,8,5,1]=>0000000=>0000000 [1,2,6,7,4,3,8,5]=>1100000=>0000011 [1,7,5,8,2,4,3,6]=>1000000=>0000001 [2,7,1,8,4,6,3,5]=>0000000=>0000000 [2,7,5,8,1,6,3,4]=>0000000=>0000000 [1,6,7,3,8,5,4,2]=>1000000=>0000001 [6,7,1,8,4,5,3,2]=>0000000=>0000000 [8,6,1,5,4,3,2,7]=>0000000=>0000000 [1,5,6,7,3,8,2,4]=>1000000=>0000001 [1,6,5,4,8,3,2,7]=>1000000=>0000001 [1,3,7,6,4,8,5,2]=>1000000=>0000001 [3,1,8,7,6,4,2,5]=>0000000=>0000000 [3,1,8,7,5,4,2,6]=>0000000=>0000000 [3,1,7,6,5,4,2,8]=>0000001=>1000000 [4,7,1,6,5,3,2,8]=>0000001=>1000000 [4,8,1,6,5,3,2,7]=>0000000=>0000000 [4,8,1,7,5,3,2,6]=>0000000=>0000000 [8,4,1,7,6,3,2,5]=>0000000=>0000000 [5,4,1,8,6,3,2,7]=>0000000=>0000000 [5,4,1,7,6,3,2,8]=>0000001=>1000000 [6,4,1,7,5,3,2,8]=>0000001=>1000000 [6,4,1,8,5,3,2,7]=>0000000=>0000000 [8,4,1,7,5,3,2,6]=>0000000=>0000000 [7,4,1,6,5,3,2,8]=>0000001=>1000000 [7,5,6,1,4,3,2,8]=>0000001=>1000000 [8,5,6,1,4,3,2,7]=>0000000=>0000000 [5,7,6,1,4,3,2,8]=>0000001=>1000000 [5,8,6,1,4,3,2,7]=>0000000=>0000000 [6,7,5,1,4,3,2,8]=>0000001=>1000000 [8,7,5,1,4,3,2,6]=>0000000=>0000000 [8,6,5,1,4,3,2,7]=>0000000=>0000000 [1,8,6,3,4,2,5,7]=>1000000=>0000001 [3,1,6,4,5,8,7,2]=>0000000=>0000000 [8,2,7,6,1,4,3,5]=>0000000=>0000000 [5,2,7,8,1,4,3,6]=>0000000=>0000000 [5,2,3,7,1,6,8,4]=>0000000=>0000000 [1,7,5,2,6,4,8,3]=>1000000=>0000001 [7,1,3,6,8,2,4,5]=>0000000=>0000000 [1,2,5,7,8,4,6,3]=>1100000=>0000011 [3,1,2,7,5,4,8,6]=>0010000=>0000100 [6,7,4,1,3,2,8,5]=>0000000=>0000000 [1,7,2,8,4,3,5,6]=>1000000=>0000001 [4,1,6,5,7,8,2,3]=>0000000=>0000000 [1,6,3,5,7,8,2,4]=>1000000=>0000001 [8,6,1,7,5,2,4,3]=>0000000=>0000000 [7,6,4,1,8,3,2,5]=>0000000=>0000000 [8,4,1,6,5,2,7,3]=>0000000=>0000000 [1,5,3,4,7,8,2,6]=>1000000=>0000001 [4,2,1,5,7,8,3,6]=>0000000=>0000000 [5,1,4,6,7,8,2,3]=>0000000=>0000000 [4,1,5,3,7,8,2,6]=>0000000=>0000000 [8,1,4,6,5,2,7,3]=>0000000=>0000000 [7,1,5,4,6,3,2,8]=>0000001=>1000000 [8,2,1,6,7,5,4,3]=>0000000=>0000000 [1,2,4,7,6,3,8,5]=>1100000=>0000011 [6,7,4,1,8,5,2,3]=>0000000=>0000000 [8,6,4,1,5,7,3,2]=>0000000=>0000000 [5,2,4,3,7,1,6,8]=>0000001=>1000000 [6,1,5,4,8,3,2,7]=>0000000=>0000000 [1,2,8,7,4,3,6,5]=>1100000=>0000011 [3,2,1,7,5,8,4,6]=>0010000=>0000100 [8,1,7,6,4,2,5,3]=>0000000=>0000000 [1,3,6,4,7,8,2,5]=>1000000=>0000001 [5,1,3,4,7,8,2,6]=>0000000=>0000000 [4,5,1,3,7,8,2,6]=>0000000=>0000000 [5,2,3,1,7,8,4,6]=>0000000=>0000000 [1,6,4,3,7,8,2,5]=>1000000=>0000001 [7,6,4,3,1,5,2,8]=>0000001=>1000000 [3,2,6,4,1,8,5,7]=>0000000=>0000000 [7,5,4,6,1,3,2,8]=>0000001=>1000000 [8,4,6,5,1,2,7,3]=>0000000=>0000000 [1,5,6,3,7,8,2,4]=>1000000=>0000001 [4,2,5,1,7,8,3,6]=>0000000=>0000000 [4,7,8,1,6,5,3,2]=>0000000=>0000000 [1,8,4,2,7,6,3,5]=>1000000=>0000001 [3,7,2,8,1,5,4,6]=>0000000=>0000000 [7,3,8,1,6,5,4,2]=>0000000=>0000000 [2,4,1,8,7,3,6,5]=>0000000=>0000000 [7,3,8,6,1,5,4,2]=>0000000=>0000000 [3,5,1,7,8,2,6,4]=>0000000=>0000000 [5,4,7,8,2,1,6,3]=>0000000=>0000000 [6,4,7,1,5,3,2,8]=>0000001=>1000000 [3,4,6,2,1,8,5,7]=>0000000=>0000000 [5,6,4,8,3,2,1,7]=>0000000=>0000000 [5,7,4,8,2,1,6,3]=>0000000=>0000000 [4,7,5,8,2,1,6,3]=>0000000=>0000000 [4,7,3,2,8,1,5,6]=>0000000=>0000000 [7,1,2,6,3,8,5,4]=>0000000=>0000000 [8,1,2,6,3,7,5,4]=>0000000=>0000000 [8,1,2,7,6,3,5,4]=>0000000=>0000000 [4,8,7,3,1,6,2,5]=>0000000=>0000000 [4,7,8,3,1,6,2,5]=>0000000=>0000000 [7,4,3,1,6,2,8,5]=>0000000=>0000000 [3,7,6,2,4,8,1,5]=>0000000=>0000000 [5,1,2,7,3,8,6,4]=>0000000=>0000000 [6,1,2,7,3,5,8,4]=>0000000=>0000000 [6,2,5,4,1,8,7,3]=>0000000=>0000000 [4,6,3,2,1,8,7,5]=>0000000=>0000000 [8,4,3,2,7,6,1,5]=>0000000=>0000000 [1,5,8,4,7,6,3,2]=>1000000=>0000001 [3,2,7,4,8,6,1,5]=>0000000=>0000000 [7,4,3,2,8,6,1,5]=>0000000=>0000000 [6,4,3,8,5,2,1,7]=>0000000=>0000000 [8,2,5,4,7,6,1,3]=>0000000=>0000000 [7,2,5,4,8,6,1,3]=>0000000=>0000000 [6,2,8,7,5,4,1,3]=>0000000=>0000000 [4,5,3,2,8,6,1,7]=>0000000=>0000000 [3,2,5,4,8,6,1,7]=>0000000=>0000000 [3,2,8,6,5,4,1,7]=>0000000=>0000000 [8,4,3,6,5,2,1,7]=>0000000=>0000000 [8,4,3,7,5,2,1,6]=>0000000=>0000000 [3,2,7,8,5,4,1,6]=>0000000=>0000000 [6,8,7,4,3,2,1,5]=>0000000=>0000000 [6,3,2,1,8,7,4,5]=>0000000=>0000000 [6,2,3,1,8,7,4,5]=>0000000=>0000000 [3,4,8,1,7,5,6,2]=>0000000=>0000000 [7,2,1,5,8,4,6,3]=>0000000=>0000000 [3,7,4,1,5,8,6,2]=>0000000=>0000000 [6,7,1,4,3,8,5,2]=>0000000=>0000000 [8,5,3,6,1,7,4,2]=>0000000=>0000000 [8,5,6,1,2,7,4,3]=>0000000=>0000000 [3,6,1,5,7,8,2,4]=>0000000=>0000000 [2,1,5,8,6,3,7,4]=>0100000=>0000010 [3,7,8,5,4,1,6,2]=>0000000=>0000000 [4,6,5,1,7,3,8,2]=>0000000=>0000000 [5,7,3,1,2,4,8,6]=>0000000=>0000000 [6,3,2,5,1,7,4,8]=>0000001=>1000000 [6,3,1,7,2,5,8,4]=>0000000=>0000000 [6,8,4,3,1,7,2,5]=>0000000=>0000000 [4,8,1,3,7,5,6,2]=>0000000=>0000000 [2,1,6,8,5,3,4,7]=>0100000=>0000010 [4,5,1,3,8,6,7,2]=>0000000=>0000000 [6,3,2,4,7,1,8,5]=>0000000=>0000000 [5,7,6,3,8,1,2,4]=>0000000=>0000000 [1,2,5,3,6,8,7,4]=>1100000=>0000011 [7,1,5,6,2,3,8,4]=>0000000=>0000000 [8,2,1,4,6,7,3,5]=>0000000=>0000000 [7,2,6,1,3,4,8,5]=>0000000=>0000000 [4,1,3,7,2,5,8,6]=>0000000=>0000000 [6,2,7,5,1,3,8,4]=>0000000=>0000000 [1,7,5,6,2,3,8,4]=>1000000=>0000001 [3,7,6,1,2,4,8,5]=>0000000=>0000000 [8,6,1,3,5,7,2,4]=>0000000=>0000000 [1,7,4,3,8,2,5,6]=>1000000=>0000001 [6,1,5,3,4,8,2,7]=>0000000=>0000000 [3,6,7,5,2,8,1,4]=>0000000=>0000000 [7,8,4,1,5,6,2,3]=>0000000=>0000000 [5,8,1,3,6,7,2,4]=>0000000=>0000000 [2,8,4,3,7,1,5,6]=>0000000=>0000000 [3,8,4,6,7,1,2,5]=>0000000=>0000000 [6,3,8,4,7,1,2,5]=>0000000=>0000000 [1,2,5,4,8,3,6,7]=>1100000=>0000011 [7,1,3,8,2,4,5,6]=>0000000=>0000000 [8,1,3,7,2,4,5,6]=>0000000=>0000000 [3,5,4,7,8,1,2,6]=>0000000=>0000000 [8,3,1,4,7,2,5,6]=>0000000=>0000000 [1,6,4,7,8,2,3,5]=>1000000=>0000001 [1,3,7,8,5,6,2,4]=>1000000=>0000001 [7,5,4,8,6,1,2,3]=>0000000=>0000000 [8,2,6,7,5,1,3,4]=>0000000=>0000000 [8,1,7,4,6,2,3,5]=>0000000=>0000000 [2,5,8,4,7,1,3,6]=>0000000=>0000000 [4,5,8,7,1,2,3,6]=>0000000=>0000000 [4,1,8,5,7,2,3,6]=>0000000=>0000000 [1,8,7,4,6,2,3,5]=>1000000=>0000001 [2,6,5,4,1,8,3,7]=>0000000=>0000000 [8,5,4,1,3,6,7,2]=>0000000=>0000000 [8,4,7,6,5,3,1,2]=>0000000=>0000000 [1,8,4,2,3,7,6,5]=>1000000=>0000001 [2,3,1,8,7,6,4,5]=>0010000=>0000100 [8,2,7,5,6,4,1,3]=>0000000=>0000000 [1,8,4,7,6,5,2,3]=>1000000=>0000001 [2,1,7,5,8,3,6,4]=>0100000=>0000010 [2,6,3,5,8,7,4,1]=>0000000=>0000000 [5,1,6,3,8,2,4,7]=>0000000=>0000000 [4,3,5,8,2,1,6,7]=>0000000=>0000000 [7,8,6,3,1,4,2,5]=>0000000=>0000000 [6,5,3,7,2,4,8,1]=>0000000=>0000000 [5,6,2,8,4,3,7,1]=>0000000=>0000000 [4,6,2,7,8,3,5,1]=>0000000=>0000000 [3,1,2,4,8,5,7,6]=>0011000=>0001100 [4,6,3,5,2,8,7,1]=>0000000=>0000000 [5,3,2,6,8,4,7,1]=>0000000=>0000000 [5,6,3,4,8,2,7,1]=>0000000=>0000000 [5,2,6,4,1,7,8,3]=>0000000=>0000000 [5,8,4,6,3,2,7,1]=>0000000=>0000000 [5,4,3,8,6,2,7,1]=>0000000=>0000000 [5,7,8,2,4,3,6,1]=>0000000=>0000000 [5,6,2,4,8,3,7,1]=>0000000=>0000000 [5,4,2,8,6,3,7,1]=>0000000=>0000000 [5,7,4,2,6,3,8,1]=>0000000=>0000000 [6,4,7,8,2,3,5,1]=>0000000=>0000000 [3,7,5,2,4,8,1,6]=>0000000=>0000000 [4,7,5,2,3,8,6,1]=>0000000=>0000000 [6,4,7,3,2,5,8,1]=>0000000=>0000000 [6,3,7,8,2,4,5,1]=>0000000=>0000000 [5,7,3,2,8,4,6,1]=>0000000=>0000000 [5,3,7,2,8,4,6,1]=>0000000=>0000000 [4,3,7,2,5,8,6,1]=>0000000=>0000000 [4,7,3,2,5,8,6,1]=>0000000=>0000000 [4,7,3,2,6,8,5,1]=>0000000=>0000000 [7,5,3,2,6,4,8,1]=>0000000=>0000000 [5,7,3,2,6,4,8,1]=>0000000=>0000000 [5,3,2,8,6,4,7,1]=>0000000=>0000000 [8,5,2,6,7,3,4,1]=>0000000=>0000000 [8,4,2,6,3,7,5,1]=>0000000=>0000000 [7,4,6,2,3,8,5,1]=>0000000=>0000000 [7,5,6,2,8,3,4,1]=>0000000=>0000000 [6,3,7,5,2,4,8,1]=>0000000=>0000000 [5,7,6,2,8,3,4,1]=>0000000=>0000000 [4,7,6,2,3,8,5,1]=>0000000=>0000000 [7,6,3,2,5,8,1,4]=>0000000=>0000000 [7,6,4,2,5,8,3,1]=>0000000=>0000000 [4,8,3,7,1,6,5,2]=>0000000=>0000000 [8,7,2,6,5,1,4,3]=>0000000=>0000000 [5,8,3,2,1,7,6,4]=>0000000=>0000000 [5,4,3,8,1,7,6,2]=>0000000=>0000000 [6,5,3,8,7,1,4,2]=>0000000=>0000000 [4,3,8,2,7,6,5,1]=>0000000=>0000000 [4,8,2,7,6,5,3,1]=>0000000=>0000000 [7,8,2,6,5,4,1,3]=>0000000=>0000000 [3,8,7,6,2,5,1,4]=>0000000=>0000000 [4,8,3,7,2,1,6,5]=>0000000=>0000000 [8,6,3,1,7,5,4,2]=>0000000=>0000000 [8,6,3,7,1,5,4,2]=>0000000=>0000000 [4,8,3,7,6,2,5,1]=>0000000=>0000000 [8,4,2,1,7,6,5,3]=>0000000=>0000000 [1,6,4,2,5,3,7,8]=>1000011=>1100001 [1,6,7,2,5,3,4,8]=>1000001=>1000001 [1,8,6,2,7,3,4,5]=>1000000=>0000001 [1,5,2,6,4,3,7,8]=>1000011=>1100001 [1,5,2,4,6,3,7,8]=>1000011=>1100001 [1,8,6,2,3,7,4,5]=>1000000=>0000001 [1,5,2,8,6,3,4,7]=>1000000=>0000001 [1,7,3,2,6,8,4,5]=>1000000=>0000001 [1,3,6,8,2,7,4,5]=>1000000=>0000001 [1,4,3,8,2,5,6,7]=>1000000=>0000001 [1,7,2,3,8,5,4,6]=>1000000=>0000001 [1,6,2,8,5,4,3,7]=>1000000=>0000001 [1,7,2,3,8,6,4,5]=>1000000=>0000001 [1,5,3,8,2,7,4,6]=>1000000=>0000001 [1,7,2,5,3,4,8,6]=>1000000=>0000001 [1,4,8,2,5,6,3,7]=>1000000=>0000001 [1,2,7,3,6,8,4,5]=>1100000=>0000011 [1,7,2,3,6,8,4,5]=>1000000=>0000001 [1,4,8,3,2,5,6,7]=>1000000=>0000001 [1,7,2,5,8,3,4,6]=>1000000=>0000001 [1,5,6,3,4,2,7,8]=>1000011=>1100001 [1,5,3,6,4,2,7,8]=>1000011=>1100001 [2,5,7,4,1,3,8,6]=>0000000=>0000000 [3,5,6,1,8,7,2,4]=>0000000=>0000000 [2,4,6,8,7,3,1,5]=>0000000=>0000000 [7,2,4,8,6,3,1,5]=>0000000=>0000000 [8,5,3,6,2,1,7,4]=>0000000=>0000000 [4,5,7,3,1,2,8,6]=>0000000=>0000000 [4,5,1,8,3,2,7,6]=>0000000=>0000000 [2,5,3,8,4,1,7,6]=>0000000=>0000000 [2,6,4,5,8,1,3,7]=>0000000=>0000000 [6,4,1,3,5,8,2,7]=>0000000=>0000000 [3,1,6,4,8,7,5,2]=>0000000=>0000000 [4,2,6,1,3,7,8,5]=>0000000=>0000000 [8,5,4,2,7,6,3,1]=>0000000=>0000000 [2,8,4,6,7,1,3,5]=>0000000=>0000000 [5,8,2,1,4,6,7,3]=>0000000=>0000000 [3,6,7,1,8,2,5,4]=>0000000=>0000000 [3,1,5,7,2,8,6,4]=>0000000=>0000000 [4,1,8,3,2,7,6,5]=>0000000=>0000000 [3,8,2,4,7,1,6,5]=>0000000=>0000000 [3,2,4,8,7,1,6,5]=>0000000=>0000000 [3,2,5,7,1,8,6,4]=>0000000=>0000000 [4,2,8,3,1,7,6,5]=>0000000=>0000000 [4,8,2,1,3,7,6,5]=>0000000=>0000000 [4,2,8,1,3,7,6,5]=>0000000=>0000000 [2,3,4,6,8,7,1,5]=>0000000=>0000000 [6,7,2,8,3,1,4,5]=>0000000=>0000000 [6,3,7,8,4,1,2,5]=>0000000=>0000000 [7,6,2,3,1,8,4,5]=>0000000=>0000000 [2,3,7,8,5,4,1,6]=>0000000=>0000000 [2,8,7,4,5,1,6,3]=>0000000=>0000000 [1,3,8,5,2,6,7,4]=>1000000=>0000001 [8,6,2,4,1,5,7,3]=>0000000=>0000000 [1,6,4,3,2,7,8,5]=>1000000=>0000001 [8,5,3,2,1,6,7,4]=>0000000=>0000000 [8,5,3,2,1,6,4,7]=>0000000=>0000000 [8,7,6,1,5,2,3,4]=>0000000=>0000000 [8,7,5,1,3,6,2,4]=>0000000=>0000000 [8,3,2,7,4,6,5,1]=>0000000=>0000000 [7,4,8,2,6,3,1,5]=>0000000=>0000000 [8,7,3,1,4,6,5,2]=>0000000=>0000000 [8,7,3,1,6,2,5,4]=>0000000=>0000000 [8,7,3,2,6,1,5,4]=>0000000=>0000000 [1,4,8,6,7,5,3,2]=>1000000=>0000001 [7,1,3,6,8,5,4,2]=>0000000=>0000000 [6,7,2,5,8,1,4,3]=>0000000=>0000000 [6,5,7,3,8,1,4,2]=>0000000=>0000000 [6,3,7,4,8,1,5,2]=>0000000=>0000000 [6,2,7,4,8,1,5,3]=>0000000=>0000000 [7,2,1,5,3,8,6,4]=>0000000=>0000000 [5,8,2,7,6,1,3,4]=>0000000=>0000000 [4,2,3,1,5,8,6,7]=>0001100=>0011000 [1,8,3,6,7,4,2,5]=>1000000=>0000001 [8,1,7,2,5,6,4,3]=>0000000=>0000000 [8,1,3,5,2,7,6,4]=>0000000=>0000000 [8,1,7,4,3,6,5,2]=>0000000=>0000000 [2,7,1,5,4,8,6,3]=>0000000=>0000000 [8,6,2,4,3,7,5,1]=>0000000=>0000000 [8,1,4,5,6,3,7,2]=>0000000=>0000000 [8,1,4,5,6,2,7,3]=>0000000=>0000000 [8,1,4,7,6,2,5,3]=>0000000=>0000000 [2,5,1,7,8,6,4,3]=>0000000=>0000000 [3,5,6,2,8,7,4,1]=>0000000=>0000000 [3,5,6,1,8,7,4,2]=>0000000=>0000000 [2,4,5,1,7,6,3,8]=>0000001=>1000000 [7,3,1,5,6,4,2,8]=>0000001=>1000000 [8,6,2,4,7,3,1,5]=>0000000=>0000000 [8,4,7,3,5,2,1,6]=>0000000=>0000000 [8,4,5,3,7,6,2,1]=>0000000=>0000000 [3,4,5,6,2,8,1,7]=>0000000=>0000000 [3,7,4,2,8,5,1,6]=>0000000=>0000000 [7,3,4,1,6,8,2,5]=>0000000=>0000000 [2,6,3,1,4,7,5,8]=>0000001=>1000000 [7,2,1,6,3,4,8,5]=>0000000=>0000000 [7,3,4,1,6,5,8,2]=>0000000=>0000000 [3,7,4,2,5,8,6,1]=>0000000=>0000000 [2,3,5,1,4,8,7,6]=>0000100=>0010000 [2,7,1,3,6,8,5,4]=>0000000=>0000000 [2,7,1,3,8,4,6,5]=>0000000=>0000000 [3,8,7,1,6,2,5,4]=>0000000=>0000000 [3,8,7,1,4,5,2,6]=>0000000=>0000000 [3,7,4,2,1,8,6,5]=>0000000=>0000000 [4,8,5,7,2,6,3,1]=>0000000=>0000000 [8,4,5,7,3,2,6,1]=>0000000=>0000000 [8,3,7,2,4,1,5,6]=>0000000=>0000000 [8,6,7,2,1,4,3,5]=>0000000=>0000000 [8,3,7,5,1,2,6,4]=>0000000=>0000000 [7,3,4,6,2,1,5,8]=>0000001=>1000000 [3,7,4,6,1,5,2,8]=>0000001=>1000000 [3,4,7,6,1,2,8,5]=>0000000=>0000000 [4,5,8,7,6,1,3,2]=>0000000=>0000000 [8,7,3,5,6,1,4,2]=>0000000=>0000000 [8,5,2,7,6,1,3,4]=>0000000=>0000000 [6,4,7,2,1,5,8,3]=>0000000=>0000000 [8,5,3,1,6,4,7,2]=>0000000=>0000000 [7,4,8,2,6,1,5,3]=>0000000=>0000000 [8,5,3,1,6,4,2,7]=>0000000=>0000000 [8,7,3,1,4,2,5,6]=>0000000=>0000000 [8,7,4,1,2,5,3,6]=>0000000=>0000000 [1,6,7,3,2,8,4,5]=>1000000=>0000001 [1,4,6,2,8,5,3,7]=>1000000=>0000001 [1,5,6,2,8,4,3,7]=>1000000=>0000001 [3,4,8,6,5,7,2,1]=>0000000=>0000000 [2,3,8,6,7,1,5,4]=>0000000=>0000000 [1,2,5,7,4,6,8,3]=>1100000=>0000011 [1,2,4,7,6,8,3,5]=>1100000=>0000011 [1,8,3,5,6,2,7,4]=>1000000=>0000001 [4,2,5,1,6,8,7,3]=>0000000=>0000000 [5,4,2,7,8,6,1,3]=>0000000=>0000000 [6,7,2,8,1,3,4,5]=>0000000=>0000000 [1,7,8,5,2,6,3,4]=>1000000=>0000001 [7,6,2,4,8,1,5,3]=>0000000=>0000000 [4,8,3,1,7,6,5,2]=>0000000=>0000000 [5,3,8,7,1,6,4,2]=>0000000=>0000000 [5,8,7,3,1,6,4,2]=>0000000=>0000000 [5,3,8,2,1,7,6,4]=>0000000=>0000000 [3,8,7,2,6,5,1,4]=>0000000=>0000000 [7,4,1,8,6,5,3,2]=>0000000=>0000000 [5,4,2,8,1,7,6,3]=>0000000=>0000000 [5,8,4,7,1,6,3,2]=>0000000=>0000000 [8,5,6,1,4,7,2,3]=>0000000=>0000000 [6,7,4,1,2,5,8,3]=>0000000=>0000000 [3,6,7,5,8,1,2,4]=>0000000=>0000000 [6,5,8,7,4,2,3,1]=>0000000=>0000000 [6,1,7,3,8,5,2,4]=>0000000=>0000000 [4,6,5,8,7,3,1,2]=>0000000=>0000000 [8,4,5,1,7,6,2,3]=>0000000=>0000000 [8,5,6,1,7,2,4,3]=>0000000=>0000000 [7,5,6,1,3,8,4,2]=>0000000=>0000000 [5,7,6,1,3,8,4,2]=>0000000=>0000000 [6,7,1,4,2,8,5,3]=>0000000=>0000000 [2,1,6,4,8,3,7,5]=>0100000=>0000010 [7,4,5,1,3,8,6,2]=>0000000=>0000000 [5,8,7,4,6,2,3,1]=>0000000=>0000000 [6,4,8,1,5,7,3,2]=>0000000=>0000000 [2,4,7,8,5,6,1,3]=>0000000=>0000000 [3,4,6,8,2,1,7,5]=>0000000=>0000000 [2,8,7,1,4,3,6,5]=>0000000=>0000000 [1,2,7,8,4,3,6,5]=>1100000=>0000011 [2,8,5,4,1,3,7,6]=>0000000=>0000000 [5,4,6,3,1,7,2,8]=>0000001=>1000000 [1,4,8,3,6,5,2,7]=>1000000=>0000001 [1,2,8,6,4,3,7,5]=>1100000=>0000011 [6,5,1,8,7,4,3,2]=>0000000=>0000000 [7,5,1,8,6,4,3,2]=>0000000=>0000000 [8,5,1,7,6,4,3,2]=>0000000=>0000000 [8,5,3,7,6,1,4,2]=>0000000=>0000000 [3,8,7,6,1,5,4,2]=>0000000=>0000000 [8,5,2,6,1,4,7,3]=>0000000=>0000000 [2,7,5,8,1,4,6,3]=>0000000=>0000000 [8,5,6,1,7,3,2,4]=>0000000=>0000000 [3,2,6,7,1,8,5,4]=>0000000=>0000000 [3,4,6,7,8,2,1,5]=>0000000=>0000000 [6,7,1,3,8,5,4,2]=>0000000=>0000000 [1,6,2,7,8,5,3,4]=>1000000=>0000001 [1,2,6,7,8,5,3,4]=>1100000=>0000011 [1,6,7,4,8,3,2,5]=>1000000=>0000001 [3,7,2,1,8,4,6,5]=>0000000=>0000000 [3,7,2,4,1,8,6,5]=>0000000=>0000000 [3,2,6,4,8,7,5,1]=>0000000=>0000000 [4,7,2,8,6,5,1,3]=>0000000=>0000000 [4,7,1,8,6,5,3,2]=>0000000=>0000000 [2,7,4,8,3,6,1,5]=>0000000=>0000000 [4,7,3,8,6,1,5,2]=>0000000=>0000000 [4,7,3,8,6,2,1,5]=>0000000=>0000000 [4,3,6,8,7,2,5,1]=>0000000=>0000000 [4,3,8,2,5,7,6,1]=>0000000=>0000000 [4,3,8,1,5,7,6,2]=>0000000=>0000000 [4,1,2,6,8,7,5,3]=>0000000=>0000000 [2,4,3,6,8,7,1,5]=>0000000=>0000000 [3,1,6,4,8,7,2,5]=>0000000=>0000000 [4,1,6,8,7,5,2,3]=>0000000=>0000000 [3,8,1,4,5,7,2,6]=>0000000=>0000000 [3,8,1,4,2,5,7,6]=>0000000=>0000000 [4,1,8,3,5,2,7,6]=>0000000=>0000000 [4,2,3,6,8,7,1,5]=>0000000=>0000000 [4,2,8,3,5,7,6,1]=>0000000=>0000000 [3,8,2,4,5,7,6,1]=>0000000=>0000000 [3,8,2,4,1,5,7,6]=>0000000=>0000000 [3,8,2,5,1,4,7,6]=>0000000=>0000000 [4,2,8,5,7,1,3,6]=>0000000=>0000000 [3,8,1,5,2,4,7,6]=>0000000=>0000000 [7,3,2,1,4,6,5,8]=>0000001=>1000000 [2,7,1,3,5,6,8,4]=>0000000=>0000000 [2,3,6,1,5,8,7,4]=>0000000=>0000000 [4,5,2,3,8,6,7,1]=>0000000=>0000000 [4,8,5,3,2,6,7,1]=>0000000=>0000000 [6,4,1,8,5,2,7,3]=>0000000=>0000000 [2,6,1,8,5,4,7,3]=>0000000=>0000000 [3,1,6,8,5,4,7,2]=>0000000=>0000000 [7,5,6,1,2,3,8,4]=>0000000=>0000000 [1,5,7,6,3,2,8,4]=>1000000=>0000001 [7,5,2,1,4,3,8,6]=>0000000=>0000000 [3,1,7,8,5,4,2,6]=>0000000=>0000000 [7,6,4,8,3,1,2,5]=>0000000=>0000000 [6,2,8,5,1,3,4,7]=>0000000=>0000000 [3,2,7,8,6,1,4,5]=>0000000=>0000000 [6,8,2,5,1,3,7,4]=>0000000=>0000000 [6,7,4,2,1,5,3,8]=>0000001=>1000000 [5,7,4,1,6,8,2,3]=>0000000=>0000000 [5,6,8,1,3,7,2,4]=>0000000=>0000000 [3,7,4,8,6,1,2,5]=>0000000=>0000000 [1,6,8,5,3,2,4,7]=>1000000=>0000001 [7,2,8,4,6,1,3,5]=>0000000=>0000000 [7,1,3,4,6,2,8,5]=>0000000=>0000000 [5,8,7,4,2,1,3,6]=>0000000=>0000000 [1,8,7,3,2,5,4,6]=>1000000=>0000001 [1,2,5,4,8,7,3,6]=>1100000=>0000011 [1,2,4,8,6,3,5,7]=>1100000=>0000011 [1,7,3,4,2,6,8,5]=>1000000=>0000001 [1,6,3,5,8,4,2,7]=>1000000=>0000001 [1,8,5,7,6,3,2,4]=>1000000=>0000001 [1,6,3,5,7,8,4,2]=>1000000=>0000001 [7,6,2,5,3,4,1,8]=>0000001=>1000000 [7,6,2,4,5,3,1,8]=>0000001=>1000000 [7,6,2,4,3,5,1,8]=>0000001=>1000000 [7,6,2,3,5,4,1,8]=>0000001=>1000000 [8,4,2,7,1,6,3,5]=>0000000=>0000000 [8,7,6,1,5,3,2,4]=>0000000=>0000000 [8,7,6,1,3,5,4,2]=>0000000=>0000000 [8,7,6,1,5,4,2,3]=>0000000=>0000000 [4,5,3,8,2,1,6,7]=>0000000=>0000000 [7,5,8,2,1,4,3,6]=>0000000=>0000000 [8,7,6,1,2,5,3,4]=>0000000=>0000000 [8,7,6,1,2,5,4,3]=>0000000=>0000000 [8,7,6,1,4,2,5,3]=>0000000=>0000000 [6,1,4,8,5,2,7,3]=>0000000=>0000000 [3,1,6,8,5,2,7,4]=>0000000=>0000000 [5,8,2,7,3,4,1,6]=>0000000=>0000000 [5,3,8,1,6,7,4,2]=>0000000=>0000000 [4,8,2,1,3,5,6,7]=>0000000=>0000000 [5,1,8,3,6,7,4,2]=>0000000=>0000000 [8,4,1,6,5,2,3,7]=>0000000=>0000000 [6,8,7,3,2,4,1,5]=>0000000=>0000000 [3,2,4,7,5,8,1,6]=>0000000=>0000000 [1,2,7,4,6,3,8,5]=>1100000=>0000011 [2,8,7,6,4,5,1,3]=>0000000=>0000000 [3,5,7,6,1,8,4,2]=>0000000=>0000000 [3,5,7,6,2,8,4,1]=>0000000=>0000000 [5,3,6,2,8,7,4,1]=>0000000=>0000000 [5,8,3,1,7,6,4,2]=>0000000=>0000000 [6,2,3,8,7,5,4,1]=>0000000=>0000000 [4,1,3,5,8,7,6,2]=>0000000=>0000000 [4,2,5,3,7,6,1,8]=>0000001=>1000000 [6,2,4,3,7,5,1,8]=>0000001=>1000000 [1,3,6,4,7,5,2,8]=>1000001=>1000001 [8,2,5,3,6,4,1,7]=>0000000=>0000000 [7,2,5,3,6,4,1,8]=>0000001=>1000000 [6,2,5,3,7,4,1,8]=>0000001=>1000000 [4,2,6,3,7,5,1,8]=>0000001=>1000000 [5,2,7,3,6,4,1,8]=>0000001=>1000000 [7,3,6,2,5,4,1,8]=>0000001=>1000000 [6,3,8,2,5,4,1,7]=>0000000=>0000000 [7,3,1,4,6,5,2,8]=>0000001=>1000000 [8,3,7,2,5,4,1,6]=>0000000=>0000000 [5,2,8,3,6,4,1,7]=>0000000=>0000000 [4,2,8,3,6,5,1,7]=>0000000=>0000000 [3,2,8,4,6,5,1,7]=>0000000=>0000000 [1,4,7,3,6,5,2,8]=>1000001=>1000001 [8,2,5,4,1,6,3,7]=>0000000=>0000000 [1,3,6,5,2,7,4,8]=>1000001=>1000001 [8,2,6,4,1,5,3,7]=>0000000=>0000000 [1,4,8,3,7,5,2,6]=>1000000=>0000001 [6,2,1,4,8,5,3,7]=>0000000=>0000000 [5,2,1,4,8,6,3,7]=>0000000=>0000000 [3,2,1,5,8,6,4,7]=>0010000=>0000100 [4,2,8,3,7,5,1,6]=>0000000=>0000000 [5,2,8,3,7,4,1,6]=>0000000=>0000000 [8,3,7,2,6,4,1,5]=>0000000=>0000000 [7,3,1,4,8,5,2,6]=>0000000=>0000000 [1,3,7,4,8,5,2,6]=>1000000=>0000001 [8,2,6,3,7,4,1,5]=>0000000=>0000000 [7,2,6,3,8,4,1,5]=>0000000=>0000000 [5,2,7,3,8,4,1,6]=>0000000=>0000000 [3,2,7,4,8,5,1,6]=>0000000=>0000000 [5,2,6,3,8,4,1,7]=>0000000=>0000000 [6,2,5,3,8,4,1,7]=>0000000=>0000000 [7,2,5,3,8,4,1,6]=>0000000=>0000000 [8,2,5,3,7,4,1,6]=>0000000=>0000000 [1,3,6,4,8,5,2,7]=>1000000=>0000001 [1,3,5,4,8,6,2,7]=>1000000=>0000001 [8,2,4,3,7,5,1,6]=>0000000=>0000000 [7,2,4,3,8,5,1,6]=>0000000=>0000000 [6,2,4,3,8,5,1,7]=>0000000=>0000000 [5,2,4,3,8,6,1,7]=>0000000=>0000000 [4,2,5,3,8,6,1,7]=>0000000=>0000000 [4,2,5,3,1,7,6,8]=>0000101=>1010000 [6,2,4,3,1,7,5,8]=>0000001=>1000000 [7,2,4,3,1,6,5,8]=>0000001=>1000000 [8,5,1,3,6,4,2,7]=>0000000=>0000000 [8,4,1,3,6,5,2,7]=>0000000=>0000000 [1,5,2,4,7,6,3,8]=>1000001=>1000001 [7,2,5,3,1,6,4,8]=>0000001=>1000000 [6,2,5,3,1,7,4,8]=>0000001=>1000000 [4,2,6,3,1,7,5,8]=>0000001=>1000000 [3,2,6,4,1,7,5,8]=>0000001=>1000000 [5,2,7,3,1,6,4,8]=>0000001=>1000000 [6,2,7,3,1,5,4,8]=>0000001=>1000000 [7,2,6,3,1,5,4,8]=>0000001=>1000000 [1,5,2,4,8,6,3,7]=>1000000=>0000001 [8,4,1,3,7,5,2,6]=>0000000=>0000000 [6,2,1,5,3,7,4,8]=>0000001=>1000000 [3,2,1,6,4,7,5,8]=>0010001=>1000100 [3,2,8,5,1,6,4,7]=>0000000=>0000000 [4,2,8,5,1,6,3,7]=>0000000=>0000000 [6,2,8,4,1,5,3,7]=>0000000=>0000000 [1,4,8,5,2,6,3,7]=>1000000=>0000001 [8,3,7,4,1,5,2,6]=>0000000=>0000000 [7,1,3,2,5,6,4,8]=>0000001=>1000000 [1,5,2,8,7,4,3,6]=>1000000=>0000001 [5,7,2,8,1,4,3,6]=>0000000=>0000000 [2,7,1,5,6,4,3,8]=>0000001=>1000000 [1,7,3,4,5,2,8,6]=>1000000=>0000001 [3,2,1,7,8,5,4,6]=>0010000=>0000100 [1,7,6,3,2,4,8,5]=>1000000=>0000001 [1,8,5,3,2,4,7,6]=>1000000=>0000001 [2,6,1,5,4,7,3,8]=>0000001=>1000000 [1,3,8,5,4,2,6,7]=>1000000=>0000001 [2,3,6,8,4,1,7,5]=>0000000=>0000000 [1,7,2,8,6,3,5,4]=>1000000=>0000001 [4,2,7,6,1,8,5,3]=>0000000=>0000000 [7,3,2,1,6,4,8,5]=>0000000=>0000000 [6,7,2,4,3,5,8,1]=>0000000=>0000000 [4,3,8,2,1,5,7,6]=>0000000=>0000000 [4,3,2,8,1,6,7,5]=>0000000=>0000000 [4,5,8,3,2,7,1,6]=>0000000=>0000000 [4,3,8,2,1,6,7,5]=>0000000=>0000000 [4,6,7,2,5,3,8,1]=>0000000=>0000000 [6,4,7,8,3,1,5,2]=>0000000=>0000000 [5,6,7,1,8,3,4,2]=>0000000=>0000000 [7,1,8,6,2,5,4,3]=>0000000=>0000000 [1,5,8,2,6,4,7,3]=>1000000=>0000001 [1,5,7,4,6,8,3,2]=>1000000=>0000001 [3,1,8,6,5,2,7,4]=>0000000=>0000000 [2,3,7,6,5,8,1,4]=>0000000=>0000000 [2,3,7,6,5,1,8,4]=>0000000=>0000000 [7,3,5,2,1,6,8,4]=>0000000=>0000000 [1,5,4,7,8,6,2,3]=>1000000=>0000001 [3,6,2,1,4,7,8,5]=>0000000=>0000000 [6,3,8,7,5,4,2,1]=>0000000=>0000000 [6,8,2,7,5,4,3,1]=>0000000=>0000000 [5,8,1,7,6,4,3,2]=>0000000=>0000000 [4,2,6,3,8,5,7,1]=>0000000=>0000000 [8,2,7,4,5,1,6,3]=>0000000=>0000000 [1,7,5,2,4,8,6,3]=>1000000=>0000001 [7,2,8,5,3,1,6,4]=>0000000=>0000000 [4,7,6,1,5,8,3,2]=>0000000=>0000000 [5,4,7,3,8,2,1,6]=>0000000=>0000000 [4,3,5,7,2,6,1,8]=>0000001=>1000000 [1,7,2,8,5,4,3,6]=>1000000=>0000001 [5,4,8,3,6,2,1,7]=>0000000=>0000000 [4,7,3,2,5,1,6,8]=>0000001=>1000000 [4,2,5,3,8,7,1,6]=>0000000=>0000000 [6,7,3,2,5,4,1,8]=>0000001=>1000000 [4,5,6,2,7,3,1,8]=>0000001=>1000000 [7,4,8,6,5,1,2,3]=>0000000=>0000000 [4,5,8,2,7,3,1,6]=>0000000=>0000000 [6,5,8,2,7,3,1,4]=>0000000=>0000000 [6,4,8,2,7,3,1,5]=>0000000=>0000000 [7,8,1,3,6,4,2,5]=>0000000=>0000000 [4,5,7,8,3,2,1,6]=>0000000=>0000000 [5,3,7,2,1,8,6,4]=>0000000=>0000000 [5,4,3,7,2,1,6,8]=>0000001=>1000000 [5,4,3,7,8,2,1,6]=>0000000=>0000000 [6,1,3,5,8,7,4,2]=>0000000=>0000000 [6,8,5,7,3,4,2,1]=>0000000=>0000000 [5,3,6,8,4,2,1,7]=>0000000=>0000000 [5,1,6,8,4,7,3,2]=>0000000=>0000000 [6,2,8,3,4,1,5,7]=>0000000=>0000000 [2,4,1,8,7,6,3,5]=>0000000=>0000000 [1,3,5,8,4,7,2,6]=>1000000=>0000001 [2,3,8,7,5,1,6,4]=>0000000=>0000000 [8,5,4,7,6,1,3,2]=>0000000=>0000000 [5,8,7,2,4,1,3,6]=>0000000=>0000000 [4,1,3,5,6,2,8,7]=>0000010=>0100000 [6,3,8,5,1,7,4,2]=>0000000=>0000000 [5,2,4,6,1,3,8,7]=>0000010=>0100000 [8,2,4,6,1,3,7,5]=>0000000=>0000000 [6,4,8,7,3,5,2,1]=>0000000=>0000000 [8,2,3,5,6,1,4,7]=>0000000=>0000000 [4,3,5,6,8,2,7,1]=>0000000=>0000000 [8,2,3,4,6,1,7,5]=>0000000=>0000000 [1,7,4,3,5,2,8,6]=>1000000=>0000001 [2,7,4,3,8,1,5,6]=>0000000=>0000000 [5,3,6,2,1,8,4,7]=>0000000=>0000000 [4,3,8,6,2,7,1,5]=>0000000=>0000000 [8,2,1,4,6,3,7,5]=>0000000=>0000000 [3,1,6,8,2,7,5,4]=>0000000=>0000000 [5,3,8,6,7,2,1,4]=>0000000=>0000000 [5,8,7,2,4,6,1,3]=>0000000=>0000000 [1,5,2,8,7,6,4,3]=>1000000=>0000001 [2,7,1,4,6,5,3,8]=>0000001=>1000000 [4,7,1,2,6,5,8,3]=>0000000=>0000000 [3,2,4,5,1,8,6,7]=>0000100=>0010000 [4,2,5,6,8,7,3,1]=>0000000=>0000000 [8,2,5,1,6,3,7,4]=>0000000=>0000000 [8,3,4,5,1,6,7,2]=>0000000=>0000000 [3,5,7,6,4,8,1,2]=>0000000=>0000000 [1,3,7,8,5,4,6,2]=>1000000=>0000001 [7,2,8,6,5,1,4,3]=>0000000=>0000000 [4,2,7,5,3,1,8,6]=>0000000=>0000000 [7,3,2,5,4,1,8,6]=>0000000=>0000000 [3,6,4,1,8,2,7,5]=>0000000=>0000000 [4,6,3,8,7,2,1,5]=>0000000=>0000000 [4,3,5,1,8,7,2,6]=>0000000=>0000000 [7,5,2,8,4,3,1,6]=>0000000=>0000000 [1,7,2,4,5,3,6,8]=>1000001=>1000001 [1,7,4,5,3,2,6,8]=>1000001=>1000001 [1,6,4,7,3,5,2,8]=>1000001=>1000001 [8,3,5,6,1,4,7,2]=>0000000=>0000000 [1,6,4,7,5,2,3,8]=>1000001=>1000001 [1,5,2,6,7,4,3,8]=>1000001=>1000001 [8,5,6,1,4,3,7,2]=>0000000=>0000000 [5,4,7,8,3,1,2,6]=>0000000=>0000000 [2,5,4,7,8,3,1,6]=>0000000=>0000000 [6,4,5,8,2,3,1,7]=>0000000=>0000000 [8,6,1,3,2,5,7,4]=>0000000=>0000000 [7,5,8,1,4,6,3,2]=>0000000=>0000000 [4,2,6,7,8,1,5,3]=>0000000=>0000000 [3,4,6,7,8,1,5,2]=>0000000=>0000000 [4,3,2,7,5,8,1,6]=>0000000=>0000000 [4,8,5,3,2,6,1,7]=>0000000=>0000000 [2,8,4,5,3,6,1,7]=>0000000=>0000000 [8,1,5,3,2,4,7,6]=>0000000=>0000000 [8,1,2,4,5,3,7,6]=>0000000=>0000000 [8,1,4,5,3,2,7,6]=>0000000=>0000000 [7,8,4,1,3,6,5,2]=>0000000=>0000000 [8,6,1,3,2,7,4,5]=>0000000=>0000000 [7,3,8,2,4,1,6,5]=>0000000=>0000000 [6,2,3,7,8,1,5,4]=>0000000=>0000000 [6,3,7,8,1,5,4,2]=>0000000=>0000000 [2,6,3,7,8,1,5,4]=>0000000=>0000000 [7,5,8,1,6,4,2,3]=>0000000=>0000000 [1,3,6,4,2,5,7,8]=>1000011=>1100001 [1,7,6,4,2,3,5,8]=>1000001=>1000001 [1,2,3,7,6,4,5,8]=>1110001=>1000111 [1,3,2,5,8,6,4,7]=>1010000=>0000101 [4,8,2,7,1,3,6,5]=>0000000=>0000000 [7,1,8,4,6,3,5,2]=>0000000=>0000000 [4,1,5,2,3,8,7,6]=>0000100=>0010000 [2,8,7,1,4,6,3,5]=>0000000=>0000000 [3,1,2,8,5,7,4,6]=>0010000=>0000100 [2,1,8,6,3,7,5,4]=>0100000=>0000010 [1,6,5,3,2,4,7,8]=>1000011=>1100001 [1,7,2,4,6,5,3,8]=>1000001=>1000001 [1,4,7,2,6,5,3,8]=>1000001=>1000001 [1,3,7,2,4,6,5,8]=>1000001=>1000001 [1,7,2,6,4,3,5,8]=>1000001=>1000001 [1,2,6,8,7,4,3,5]=>1100000=>0000011 [1,2,7,4,3,5,8,6]=>1100000=>0000011 [1,8,6,3,5,2,7,4]=>1000000=>0000001 [1,6,2,8,7,4,3,5]=>1000000=>0000001 [1,3,8,7,5,4,6,2]=>1000000=>0000001 [1,2,8,6,3,5,7,4]=>1100000=>0000011 [1,8,5,2,3,6,4,7]=>1000000=>0000001 [1,7,4,8,5,2,3,6]=>1000000=>0000001 [1,4,7,5,8,6,3,2]=>1000000=>0000001 [1,4,7,5,2,8,6,3]=>1000000=>0000001 [1,6,3,7,4,2,8,5]=>1000000=>0000001 [1,8,5,2,7,4,3,6]=>1000000=>0000001 [1,4,8,6,3,2,7,5]=>1000000=>0000001 [1,4,8,7,5,3,2,6]=>1000000=>0000001 [1,2,5,8,6,3,7,4]=>1100000=>0000011 [1,2,4,7,5,8,6,3]=>1100000=>0000011 [1,3,5,8,7,6,2,4]=>1000000=>0000001 [1,5,2,4,3,6,8,7]=>1000110=>0110001 [1,6,8,7,5,3,2,4]=>1000000=>0000001 [1,2,5,7,4,3,8,6]=>1100000=>0000011 [1,5,3,2,6,8,7,4]=>1000000=>0000001 [1,4,2,6,8,7,5,3]=>1000000=>0000001 [1,5,8,6,3,2,7,4]=>1000000=>0000001 [1,8,5,2,6,3,4,7]=>1000000=>0000001 [1,7,4,6,3,2,8,5]=>1000000=>0000001 [1,6,3,2,8,5,4,7]=>1000000=>0000001 [1,4,2,8,6,3,5,7]=>1000000=>0000001 [1,3,8,6,4,2,5,7]=>1000000=>0000001 [1,5,7,4,2,3,8,6]=>1000000=>0000001 [8,2,7,3,1,5,4,6]=>0000000=>0000000 [8,4,7,2,5,3,1,6]=>0000000=>0000000 [8,6,1,4,7,3,5,2]=>0000000=>0000000 [5,3,6,7,2,8,4,1]=>0000000=>0000000 [1,3,8,2,5,6,7,4]=>1000000=>0000001 [5,1,7,4,3,6,8,2]=>0000000=>0000000 [7,1,3,6,5,2,8,4]=>0000000=>0000000 [6,1,8,5,2,7,3,4]=>0000000=>0000000 [5,4,1,3,7,2,8,6]=>0000000=>0000000 [3,1,8,7,5,2,4,6]=>0000000=>0000000 [6,5,8,7,2,4,3,1]=>0000000=>0000000 [4,3,6,5,8,2,1,7]=>0000000=>0000000 [4,7,3,1,8,5,2,6]=>0000000=>0000000 [5,1,7,8,6,2,3,4]=>0000000=>0000000 [8,5,1,6,7,2,3,4]=>0000000=>0000000 [1,8,3,6,4,5,7,2]=>1000000=>0000001 [8,1,6,4,2,3,5,7]=>0000000=>0000000 [7,1,8,2,5,3,4,6]=>0000000=>0000000 [5,1,7,2,6,3,4,8]=>0000001=>1000000 [1,6,3,8,4,5,7,2]=>1000000=>0000001 [2,7,4,3,8,5,1,6]=>0000000=>0000000 [2,4,7,3,5,1,6,8]=>0000001=>1000000 [2,4,8,6,3,5,1,7]=>0000000=>0000000 [2,3,7,5,4,1,6,8]=>0000001=>1000000 [3,4,6,2,1,5,8,7]=>0000010=>0100000 [2,3,6,1,5,8,4,7]=>0000000=>0000000 [2,3,7,1,6,5,8,4]=>0000000=>0000000 [2,4,7,1,3,6,8,5]=>0000000=>0000000 [5,4,7,8,1,3,2,6]=>0000000=>0000000 [2,5,7,1,4,6,3,8]=>0000001=>1000000 [2,4,7,1,6,3,5,8]=>0000001=>1000000 [2,3,7,1,6,5,4,8]=>0000001=>1000000 [2,5,7,1,4,3,6,8]=>0000001=>1000000 [2,5,7,3,1,4,6,8]=>0000001=>1000000 [3,4,7,2,1,6,8,5]=>0000000=>0000000 [5,7,3,2,8,1,4,6]=>0000000=>0000000 [5,4,7,8,1,3,6,2]=>0000000=>0000000 [2,5,7,1,4,6,8,3]=>0000000=>0000000 [2,4,7,1,6,3,8,5]=>0000000=>0000000 [2,4,7,1,6,8,3,5]=>0000000=>0000000 [8,7,5,1,4,2,3,6]=>0000000=>0000000 [6,8,3,2,4,5,1,7]=>0000000=>0000000 [3,8,5,2,4,6,1,7]=>0000000=>0000000 [8,2,4,5,3,1,6,7]=>0000000=>0000000 [4,8,2,5,3,1,6,7]=>0000000=>0000000 [4,3,7,5,2,1,6,8]=>0000001=>1000000 [1,6,7,4,3,2,5,8]=>1000001=>1000001 [1,4,5,7,3,2,6,8]=>1000001=>1000001 [3,5,1,4,7,2,6,8]=>0000001=>1000000 [2,5,4,7,8,1,3,6]=>0000000=>0000000 [2,5,1,4,7,8,3,6]=>0000000=>0000000 [4,3,7,1,5,2,6,8]=>0000001=>1000000 [3,5,1,6,4,2,7,8]=>0000011=>1100000 [6,4,3,1,7,2,5,8]=>0000001=>1000000 [6,2,7,4,3,1,5,8]=>0000001=>1000000 [2,6,4,1,7,3,5,8]=>0000001=>1000000 [6,3,2,7,4,5,1,8]=>0000001=>1000000 [7,2,4,1,3,6,8,5]=>0000000=>0000000 [6,3,2,5,7,1,4,8]=>0000001=>1000000 [3,2,6,5,7,1,4,8]=>0000001=>1000000 [1,7,3,2,5,6,4,8]=>1000001=>1000001 [2,1,7,3,5,6,8,4]=>0100000=>0000010 [2,1,6,3,5,7,8,4]=>0100000=>0000010 [1,6,3,2,5,7,4,8]=>1000001=>1000001 [5,6,2,1,4,3,7,8]=>0000011=>1100000 [2,5,1,6,4,3,7,8]=>0000011=>1100000 [2,5,4,1,6,3,7,8]=>0000011=>1100000 [4,6,1,5,2,7,3,8]=>0000001=>1000000 [1,6,5,3,7,2,4,8]=>1000001=>1000001 [2,6,1,8,5,4,3,7]=>0000000=>0000000 [4,5,8,6,2,1,3,7]=>0000000=>0000000 [4,2,8,5,3,6,1,7]=>0000000=>0000000 [5,6,3,2,8,1,7,4]=>0000000=>0000000 [8,2,6,3,1,5,7,4]=>0000000=>0000000 [8,2,5,3,4,7,6,1]=>0000000=>0000000 [7,5,3,2,4,1,8,6]=>0000000=>0000000 [6,5,3,2,4,8,1,7]=>0000000=>0000000 [3,1,8,4,6,5,7,2]=>0000000=>0000000 [3,4,7,5,8,2,6,1]=>0000000=>0000000 [8,7,1,4,6,5,2,3]=>0000000=>0000000 [8,3,7,6,4,5,1,2]=>0000000=>0000000 [5,3,8,6,4,1,7,2]=>0000000=>0000000 [6,4,7,1,8,5,2,3]=>0000000=>0000000 [3,8,2,5,1,7,4,6]=>0000000=>0000000 [8,6,4,1,7,3,2,5]=>0000000=>0000000 [3,4,7,8,5,1,2,6]=>0000000=>0000000 [5,7,2,4,3,6,8,1]=>0000000=>0000000 [4,7,3,2,5,6,8,1]=>0000000=>0000000 [3,2,7,6,4,5,8,1]=>0000000=>0000000 [1,7,3,6,8,4,2,5]=>1000000=>0000001 [8,3,1,2,6,4,7,5]=>0000000=>0000000 [1,7,8,2,4,3,5,6]=>1000000=>0000001 [3,6,4,7,1,2,8,5]=>0000000=>0000000 [2,4,7,8,5,1,3,6]=>0000000=>0000000 [5,7,4,8,1,3,2,6]=>0000000=>0000000 [4,3,7,8,1,5,2,6]=>0000000=>0000000 [8,5,4,2,6,1,7,3]=>0000000=>0000000 [3,2,6,8,7,4,1,5]=>0000000=>0000000 [2,3,7,5,1,8,6,4]=>0000000=>0000000 [6,3,1,2,8,7,4,5]=>0000000=>0000000 [5,2,1,3,8,7,6,4]=>0000000=>0000000 [7,2,1,5,3,8,4,6]=>0000000=>0000000 [1,5,8,2,4,3,6,7]=>1000000=>0000001 [4,3,6,8,1,5,2,7]=>0000000=>0000000 [2,4,6,8,5,1,3,7]=>0000000=>0000000 [1,6,8,2,4,3,5,7]=>1000000=>0000001 [5,4,6,8,3,1,7,2]=>0000000=>0000000 [8,6,1,7,2,4,3,5]=>0000000=>0000000 [7,3,1,2,8,6,4,5]=>0000000=>0000000 [2,3,7,6,1,8,5,4]=>0000000=>0000000 [3,2,7,8,6,4,1,5]=>0000000=>0000000 [6,2,8,3,1,4,7,5]=>0000000=>0000000 [3,1,2,8,7,4,5,6]=>0010000=>0000100 [2,1,3,8,7,4,6,5]=>0110000=>0000110 [2,1,3,8,7,4,5,6]=>0110000=>0000110 [8,5,1,7,2,4,3,6]=>0000000=>0000000 [8,3,1,6,2,7,5,4]=>0000000=>0000000 [1,3,2,8,7,6,4,5]=>1010000=>0000101 [2,1,3,8,7,6,4,5]=>0110000=>0000110 [3,5,8,2,4,1,7,6]=>0000000=>0000000 [1,3,6,8,5,4,2,7]=>1000000=>0000001 [1,4,2,5,7,6,3,8]=>1000001=>1000001 [1,4,2,6,8,5,3,7]=>1000000=>0000001 [1,5,3,2,6,8,4,7]=>1000000=>0000001 [1,5,4,2,3,6,8,7]=>1000110=>0110001 [1,6,8,3,5,4,2,7]=>1000000=>0000001 [1,5,3,2,4,6,8,7]=>1000110=>0110001 [1,5,8,7,6,3,2,4]=>1000000=>0000001 [1,5,7,6,3,2,4,8]=>1000001=>1000001 [1,6,3,2,4,7,5,8]=>1000001=>1000001 [1,6,3,2,4,8,7,5]=>1000000=>0000001 [1,2,7,6,4,3,5,8]=>1100001=>1000011 [1,8,7,5,2,4,6,3]=>1000000=>0000001 [1,7,5,2,4,6,3,8]=>1000001=>1000001 [1,7,4,2,5,3,6,8]=>1000001=>1000001 [1,8,4,7,5,2,6,3]=>1000000=>0000001 [1,7,5,2,3,6,4,8]=>1000001=>1000001 [1,7,5,2,6,3,4,8]=>1000001=>1000001 [1,6,3,7,4,2,5,8]=>1000001=>1000001 [1,6,3,2,7,5,4,8]=>1000001=>1000001 [1,4,8,7,5,2,6,3]=>1000000=>0000001 [1,4,7,5,2,6,3,8]=>1000001=>1000001 [1,3,6,4,8,7,5,2]=>1000000=>0000001 [1,3,7,6,4,2,5,8]=>1000001=>1000001 [1,3,8,7,5,2,4,6]=>1000000=>0000001 [1,4,6,3,2,7,5,8]=>1000001=>1000001 [1,4,6,3,2,8,7,5]=>1000000=>0000001 [1,5,7,6,4,2,3,8]=>1000001=>1000001 [1,2,6,4,7,5,3,8]=>1100001=>1000011 [1,6,3,2,8,4,7,5]=>1000000=>0000001 [1,5,2,7,4,3,6,8]=>1000001=>1000001 [1,6,3,5,2,7,4,8]=>1000001=>1000001 [1,6,3,5,2,8,7,4]=>1000000=>0000001 [1,8,3,7,5,2,4,6]=>1000000=>0000001 [1,8,4,6,3,2,7,5]=>1000000=>0000001 [3,2,1,4,8,5,7,6]=>0011000=>0001100 [7,4,1,6,2,5,3,8]=>0000001=>1000000 [5,4,1,8,2,6,3,7]=>0000000=>0000000 [5,4,1,6,2,8,3,7]=>0000000=>0000000 [2,8,6,4,5,1,7,3]=>0000000=>0000000 [2,8,3,1,4,5,7,6]=>0000000=>0000000 [6,1,7,2,8,4,5,3]=>0000000=>0000000 [8,3,2,1,5,6,7,4]=>0000000=>0000000 [7,2,8,1,4,5,6,3]=>0000000=>0000000 [5,1,7,3,8,6,2,4]=>0000000=>0000000 [3,2,5,8,7,4,1,6]=>0000000=>0000000 [4,2,5,8,7,3,1,6]=>0000000=>0000000 [8,3,4,1,6,5,2,7]=>0000000=>0000000 [3,4,8,5,7,2,1,6]=>0000000=>0000000 [3,6,4,8,5,7,2,1]=>0000000=>0000000 [5,8,4,7,3,6,2,1]=>0000000=>0000000 [4,2,8,7,3,1,6,5]=>0000000=>0000000 [6,5,8,2,1,7,4,3]=>0000000=>0000000 [6,1,4,3,8,7,2,5]=>0000000=>0000000 [5,1,3,2,6,8,7,4]=>0000000=>0000000 [6,1,3,8,7,2,4,5]=>0000000=>0000000 [1,2,8,4,5,7,3,6]=>1100000=>0000011 [4,2,1,8,7,6,3,5]=>0000000=>0000000 [3,2,5,8,7,1,4,6]=>0000000=>0000000 [5,6,3,8,7,2,1,4]=>0000000=>0000000 [2,5,8,4,7,1,6,3]=>0000000=>0000000 [1,6,2,4,8,5,7,3]=>1000000=>0000001 [3,1,6,5,8,7,2,4]=>0000000=>0000000 [4,8,5,3,6,7,1,2]=>0000000=>0000000 [1,8,5,3,4,7,6,2]=>1000000=>0000001 [1,4,6,2,5,3,7,8]=>1000011=>1100001 [4,3,6,5,1,2,7,8]=>0000011=>1100000 [1,3,8,7,6,5,2,4]=>1000000=>0000001 [1,8,7,2,6,3,5,4]=>1000000=>0000001 [2,8,7,1,6,3,4,5]=>0000000=>0000000 [1,3,7,5,4,8,6,2]=>1000000=>0000001 [1,5,6,3,8,4,2,7]=>1000000=>0000001 [2,6,5,3,8,4,1,7]=>0000000=>0000000 [2,3,6,5,4,8,1,7]=>0000000=>0000000 [2,7,5,1,8,4,6,3]=>0000000=>0000000 [1,7,6,4,8,2,5,3]=>1000000=>0000001 [6,3,8,7,2,4,5,1]=>0000000=>0000000 [2,4,3,8,7,1,6,5]=>0000000=>0000000 [8,3,7,2,1,6,5,4]=>0000000=>0000000 [8,4,7,3,6,2,1,5]=>0000000=>0000000 [3,8,7,5,6,4,1,2]=>0000000=>0000000 [3,8,7,5,6,2,1,4]=>0000000=>0000000 [3,8,7,5,6,2,4,1]=>0000000=>0000000 [2,8,7,5,6,4,1,3]=>0000000=>0000000 [3,6,2,4,8,7,1,5]=>0000000=>0000000 [1,5,6,3,8,2,7,4]=>1000000=>0000001 [2,6,3,8,4,7,1,5]=>0000000=>0000000 [2,6,3,5,7,8,1,4]=>0000000=>0000000 [1,5,6,3,7,2,8,4]=>1000000=>0000001 [1,7,5,3,6,2,8,4]=>1000000=>0000001 [1,5,7,3,4,2,8,6]=>1000000=>0000001 [1,5,8,3,4,2,7,6]=>1000000=>0000001 [1,4,5,3,8,2,7,6]=>1000000=>0000001 [6,5,1,4,2,7,8,3]=>0000000=>0000000 [6,5,1,4,2,8,7,3]=>0000000=>0000000 [1,7,5,4,2,8,6,3]=>1000000=>0000001 [1,4,8,2,6,5,3,7]=>1000000=>0000001 [7,5,1,8,3,4,2,6]=>0000000=>0000000 [1,2,5,6,8,7,3,4]=>1100000=>0000011 [2,6,7,3,4,1,8,5]=>0000000=>0000000 [1,3,7,2,6,4,8,5]=>1000000=>0000001 [7,6,1,2,3,5,4,8]=>0000001=>1000000 [6,1,3,4,2,5,7,8]=>0000011=>1100000 [5,3,8,2,4,6,1,7]=>0000000=>0000000 [4,1,5,6,3,2,7,8]=>0000011=>1100000 [4,5,8,3,2,6,1,7]=>0000000=>0000000 [5,8,2,1,4,6,3,7]=>0000000=>0000000 [4,1,5,8,3,6,2,7]=>0000000=>0000000 [4,5,8,3,6,1,2,7]=>0000000=>0000000 [1,6,3,4,7,8,5,2]=>1000000=>0000001 [8,1,3,4,2,6,5,7]=>0000000=>0000000 [4,7,8,5,2,3,1,6]=>0000000=>0000000 [4,1,5,8,6,2,3,7]=>0000000=>0000000 [5,8,2,1,6,3,4,7]=>0000000=>0000000 [2,6,7,8,4,1,3,5]=>0000000=>0000000 [2,6,7,8,4,3,1,5]=>0000000=>0000000 [1,7,8,5,4,2,3,6]=>1000000=>0000001 [3,6,4,5,2,8,1,7]=>0000000=>0000000 [8,1,5,4,7,6,3,2]=>0000000=>0000000 [2,5,1,4,6,7,3,8]=>0000001=>1000000 [8,6,3,5,4,1,2,7]=>0000000=>0000000 [8,2,6,5,4,1,3,7]=>0000000=>0000000 [8,2,6,5,4,3,1,7]=>0000000=>0000000 [8,3,2,6,1,5,4,7]=>0000000=>0000000 [8,1,6,5,4,3,2,7]=>0000000=>0000000 [4,8,1,7,6,3,5,2]=>0000000=>0000000 [8,5,1,7,4,3,6,2]=>0000000=>0000000 [8,5,7,6,2,1,3,4]=>0000000=>0000000 [5,4,8,3,1,7,2,6]=>0000000=>0000000 [5,1,4,8,3,2,7,6]=>0000000=>0000000 [4,8,1,7,6,5,2,3]=>0000000=>0000000 [4,3,8,7,2,6,1,5]=>0000000=>0000000 [3,8,7,2,6,4,1,5]=>0000000=>0000000 [8,2,7,6,4,1,5,3]=>0000000=>0000000 [4,3,8,7,2,6,5,1]=>0000000=>0000000 [8,2,5,7,4,3,6,1]=>0000000=>0000000 [3,8,7,4,6,1,2,5]=>0000000=>0000000 [8,3,7,5,4,1,6,2]=>0000000=>0000000 [2,8,4,7,6,1,5,3]=>0000000=>0000000 [2,5,4,8,3,1,7,6]=>0000000=>0000000 [5,4,8,2,1,3,7,6]=>0000000=>0000000 [3,8,7,2,6,1,5,4]=>0000000=>0000000 [1,8,4,7,6,3,5,2]=>1000000=>0000001 [1,8,3,7,6,5,2,4]=>1000000=>0000001 [1,4,3,8,7,2,6,5]=>1000000=>0000001 [8,1,2,7,6,5,4,3]=>0000000=>0000000 [7,8,1,3,6,4,5,2]=>0000000=>0000000 [7,2,6,8,4,5,3,1]=>0000000=>0000000 [7,3,6,8,5,1,4,2]=>0000000=>0000000 [7,5,8,1,6,2,4,3]=>0000000=>0000000 [5,7,8,1,6,3,2,4]=>0000000=>0000000 [7,2,6,8,5,1,4,3]=>0000000=>0000000 [6,7,8,3,5,4,2,1]=>0000000=>0000000 [6,7,8,4,2,1,5,3]=>0000000=>0000000 [7,2,6,8,4,3,1,5]=>0000000=>0000000 [7,5,2,4,8,3,1,6]=>0000000=>0000000 [5,6,2,4,3,8,1,7]=>0000000=>0000000 [7,8,3,1,6,2,5,4]=>0000000=>0000000 [6,7,8,4,3,1,5,2]=>0000000=>0000000 [7,8,2,6,3,5,4,1]=>0000000=>0000000 [7,8,3,6,4,1,5,2]=>0000000=>0000000 [6,1,5,2,4,8,3,7]=>0000000=>0000000 [1,5,6,3,8,2,4,7]=>1000000=>0000001 [7,3,8,1,6,4,5,2]=>0000000=>0000000 [7,2,6,8,4,3,5,1]=>0000000=>0000000 [7,5,2,4,8,3,6,1]=>0000000=>0000000 [1,7,5,8,2,4,6,3]=>1000000=>0000001 [7,5,2,8,1,4,6,3]=>0000000=>0000000 [3,7,8,2,6,5,1,4]=>0000000=>0000000 [3,7,8,2,1,6,4,5]=>0000000=>0000000 [7,2,8,1,6,4,3,5]=>0000000=>0000000 [7,8,1,6,3,5,4,2]=>0000000=>0000000 [6,7,8,3,2,5,4,1]=>0000000=>0000000 [6,7,8,2,5,4,3,1]=>0000000=>0000000 [6,7,8,3,1,5,4,2]=>0000000=>0000000 [7,8,1,6,2,5,4,3]=>0000000=>0000000 [5,6,1,4,3,8,2,7]=>0000000=>0000000 [1,6,4,5,2,7,3,8]=>1000001=>1000001 [6,2,1,5,7,3,4,8]=>0000001=>1000000 [1,6,7,4,2,8,3,5]=>1000000=>0000001 [1,4,7,2,3,6,8,5]=>1000000=>0000001 [3,1,2,6,7,8,5,4]=>0010000=>0000100 [1,6,3,4,7,8,2,5]=>1000000=>0000001 [3,1,5,7,6,2,8,4]=>0000000=>0000000 [6,3,1,4,2,7,8,5]=>0000000=>0000000 [2,4,3,7,6,1,8,5]=>0000000=>0000000 [3,1,6,5,2,8,7,4]=>0000000=>0000000 [3,1,7,6,5,2,8,4]=>0000000=>0000000 [1,4,7,6,8,3,2,5]=>1000000=>0000001 [7,2,1,5,6,3,8,4]=>0000000=>0000000 [4,3,1,8,6,2,7,5]=>0000000=>0000000 [3,1,5,2,8,7,6,4]=>0000000=>0000000 [1,2,8,4,3,7,6,5]=>1100000=>0000011 [1,8,5,4,2,7,3,6]=>1000000=>0000001 [3,1,8,5,4,7,2,6]=>0000000=>0000000 [2,6,1,8,7,4,3,5]=>0000000=>0000000 [7,5,1,8,3,2,6,4]=>0000000=>0000000 [4,7,6,3,1,8,2,5]=>0000000=>0000000 [5,3,1,8,6,2,4,7]=>0000000=>0000000 [5,1,8,6,3,2,4,7]=>0000000=>0000000 [1,5,4,2,8,6,3,7]=>1000000=>0000001 [8,3,1,6,4,2,5,7]=>0000000=>0000000 [3,6,7,1,8,4,2,5]=>0000000=>0000000 [1,7,4,8,3,5,2,6]=>1000000=>0000001 [7,3,2,4,8,5,1,6]=>0000000=>0000000 [6,3,4,7,1,8,5,2]=>0000000=>0000000 [5,7,8,1,4,2,6,3]=>0000000=>0000000 [5,7,1,2,3,8,6,4]=>0000000=>0000000 [7,2,8,1,4,3,6,5]=>0000000=>0000000 [2,6,3,8,1,7,5,4]=>0000000=>0000000 [1,8,3,6,4,7,2,5]=>1000000=>0000001 [2,8,6,4,1,7,3,5]=>0000000=>0000000 [1,8,4,2,7,5,3,6]=>1000000=>0000001 [6,5,1,7,2,8,4,3]=>0000000=>0000000 [2,8,1,7,5,3,6,4]=>0000000=>0000000 [1,2,8,7,6,4,3,5]=>1100000=>0000011 [1,6,5,8,7,4,2,3]=>1000000=>0000001 [4,3,5,7,1,6,2,8]=>0000001=>1000000 [4,2,8,5,3,6,7,1]=>0000000=>0000000 [4,1,8,5,3,6,2,7]=>0000000=>0000000 [6,4,2,5,3,1,7,8]=>0000011=>1100000 [3,1,5,8,2,7,4,6]=>0000000=>0000000 [6,4,1,5,3,2,7,8]=>0000011=>1100000 [6,2,1,5,4,3,7,8]=>0000011=>1100000 [3,1,8,5,4,6,2,7]=>0000000=>0000000 [6,2,8,4,5,3,7,1]=>0000000=>0000000 [6,1,8,4,5,3,2,7]=>0000000=>0000000 [4,5,2,7,1,6,3,8]=>0000001=>1000000 [4,3,5,7,1,6,8,2]=>0000000=>0000000 [4,1,8,5,3,6,7,2]=>0000000=>0000000 [6,3,8,4,5,1,7,2]=>0000000=>0000000 [3,1,6,8,5,7,4,2]=>0000000=>0000000 [2,6,1,8,5,7,4,3]=>0000000=>0000000 [6,5,8,7,1,3,2,4]=>0000000=>0000000 [6,5,8,7,2,3,4,1]=>0000000=>0000000 [6,5,8,7,3,2,4,1]=>0000000=>0000000 [6,3,8,4,5,2,7,1]=>0000000=>0000000 [3,1,6,8,5,7,2,4]=>0000000=>0000000 [2,1,6,8,5,3,7,4]=>0100000=>0000010 [3,1,6,8,5,4,2,7]=>0000000=>0000000 [3,2,6,8,5,4,7,1]=>0000000=>0000000 [4,1,8,5,2,6,3,7]=>0000000=>0000000 [3,1,6,8,5,2,4,7]=>0000000=>0000000 [6,2,8,4,5,1,3,7]=>0000000=>0000000 [6,5,8,7,4,1,2,3]=>0000000=>0000000 [6,5,8,7,4,2,1,3]=>0000000=>0000000 [6,5,8,7,2,4,1,3]=>0000000=>0000000 [6,2,8,4,5,7,1,3]=>0000000=>0000000 [6,1,8,4,5,7,3,2]=>0000000=>0000000 [4,2,7,3,5,8,6,1]=>0000000=>0000000 [3,6,2,4,8,5,7,1]=>0000000=>0000000 [3,5,1,8,4,7,6,2]=>0000000=>0000000 [2,4,8,3,7,6,5,1]=>0000000=>0000000 [3,6,8,5,2,4,7,1]=>0000000=>0000000 [2,6,8,5,4,3,7,1]=>0000000=>0000000 [3,6,8,2,5,4,7,1]=>0000000=>0000000 [4,6,8,3,2,5,7,1]=>0000000=>0000000 [4,6,2,8,3,5,7,1]=>0000000=>0000000 [3,6,1,8,5,7,4,2]=>0000000=>0000000 [3,5,8,2,7,4,6,1]=>0000000=>0000000 [2,4,8,7,3,6,5,1]=>0000000=>0000000 [2,5,8,7,4,3,6,1]=>0000000=>0000000 [2,4,8,7,6,3,5,1]=>0000000=>0000000 [4,7,2,5,6,3,1,8]=>0000001=>1000000 [6,1,2,8,7,3,4,5]=>0000000=>0000000 [3,2,6,1,5,8,4,7]=>0000000=>0000000 [4,5,2,1,7,8,3,6]=>0000000=>0000000 [2,3,7,8,5,1,6,4]=>0000000=>0000000 [8,1,3,2,5,6,4,7]=>0000000=>0000000 [3,2,5,8,4,7,1,6]=>0000000=>0000000 [8,6,4,1,5,2,3,7]=>0000000=>0000000 [2,5,8,1,3,4,7,6]=>0000000=>0000000 [8,1,5,2,3,7,6,4]=>0000000=>0000000 [6,4,7,2,8,3,1,5]=>0000000=>0000000 [4,8,1,2,7,6,5,3]=>0000000=>0000000 [3,7,4,8,5,2,6,1]=>0000000=>0000000 [3,4,2,8,6,7,5,1]=>0000000=>0000000 [3,6,1,5,2,7,8,4]=>0000000=>0000000 [7,1,6,8,3,4,2,5]=>0000000=>0000000 [6,2,8,4,7,1,3,5]=>0000000=>0000000 [1,8,4,3,7,6,2,5]=>1000000=>0000001 [4,3,8,7,1,2,6,5]=>0000000=>0000000 [1,8,3,6,7,2,4,5]=>1000000=>0000001 [1,8,4,5,7,6,2,3]=>1000000=>0000001 [4,3,8,5,7,1,6,2]=>0000000=>0000000 [6,3,4,8,7,2,1,5]=>0000000=>0000000 [5,3,8,4,7,1,6,2]=>0000000=>0000000 [5,2,8,7,1,4,6,3]=>0000000=>0000000 [3,2,8,7,1,6,4,5]=>0000000=>0000000 [2,7,8,3,1,6,4,5]=>0000000=>0000000 [3,5,8,7,4,1,6,2]=>0000000=>0000000 [7,4,6,8,3,5,1,2]=>0000000=>0000000 [7,2,8,4,1,3,6,5]=>0000000=>0000000 [2,7,8,1,3,6,4,5]=>0000000=>0000000 [2,7,8,1,5,4,6,3]=>0000000=>0000000 [2,7,8,1,4,5,6,3]=>0000000=>0000000 [3,6,7,8,2,4,1,5]=>0000000=>0000000 [4,5,7,8,6,3,1,2]=>0000000=>0000000 [5,4,6,8,7,3,1,2]=>0000000=>0000000 [4,5,8,6,7,1,3,2]=>0000000=>0000000 [5,7,6,8,2,1,3,4]=>0000000=>0000000 [3,7,6,8,2,4,1,5]=>0000000=>0000000 [5,4,7,8,6,3,1,2]=>0000000=>0000000 [3,6,7,8,2,1,4,5]=>0000000=>0000000 [4,5,6,8,7,3,1,2]=>0000000=>0000000 [5,3,6,2,4,1,8,7]=>0000010=>0100000 [4,5,3,7,1,2,6,8]=>0000001=>1000000 [6,7,2,8,4,3,1,5]=>0000000=>0000000 [6,7,3,2,8,4,1,5]=>0000000=>0000000 [4,5,8,1,3,2,6,7]=>0000000=>0000000 [5,7,2,8,3,4,6,1]=>0000000=>0000000 [3,1,5,8,6,4,7,2]=>0000000=>0000000 [3,6,2,8,4,7,5,1]=>0000000=>0000000 [2,3,8,6,7,5,4,1]=>0000000=>0000000 [3,1,5,8,6,2,4,7]=>0000000=>0000000 [1,5,8,6,3,4,2,7]=>1000000=>0000001 [5,3,7,8,4,2,6,1]=>0000000=>0000000 [5,1,6,4,3,8,7,2]=>0000000=>0000000 [4,7,6,8,3,1,5,2]=>0000000=>0000000 [3,5,4,7,1,8,6,2]=>0000000=>0000000 [1,8,5,4,2,3,6,7]=>1000000=>0000001 [6,1,3,8,4,5,2,7]=>0000000=>0000000 [4,1,5,7,6,3,2,8]=>0000001=>1000000 [5,3,8,2,7,1,6,4]=>0000000=>0000000 [4,5,1,7,6,3,2,8]=>0000001=>1000000 [1,5,3,7,4,2,6,8]=>1000001=>1000001 [1,5,4,2,3,8,7,6]=>1000100=>0010001 [1,5,4,2,3,8,6,7]=>1000100=>0010001 [1,5,4,2,3,7,8,6]=>1000100=>0010001 [3,6,5,2,4,1,7,8]=>0000011=>1100000 [4,6,7,2,5,1,8,3]=>0000000=>0000000 [3,6,2,5,1,7,8,4]=>0000000=>0000000 [8,7,3,6,2,1,5,4]=>0000000=>0000000 [7,3,5,4,1,2,6,8]=>0000001=>1000000 [7,1,3,8,2,5,4,6]=>0000000=>0000000 [6,7,1,8,3,4,5,2]=>0000000=>0000000 [8,6,7,2,5,3,1,4]=>0000000=>0000000 [1,2,8,6,4,5,3,7]=>1100000=>0000011 [1,5,7,8,4,2,3,6]=>1000000=>0000001 [1,2,3,7,5,4,6,8]=>1110001=>1000111 [1,3,4,8,5,2,7,6]=>1000000=>0000001 [4,6,5,2,1,7,8,3]=>0000000=>0000000 [3,5,6,2,1,4,7,8]=>0000011=>1100000 [4,3,6,5,1,7,8,2]=>0000000=>0000000 [4,6,5,3,1,7,8,2]=>0000000=>0000000 [5,1,3,4,8,2,6,7]=>0000000=>0000000 [5,8,1,4,2,3,6,7]=>0000000=>0000000 [4,3,1,8,5,2,6,7]=>0000000=>0000000 [4,5,8,2,3,1,6,7]=>0000000=>0000000 [3,5,4,8,1,7,2,6]=>0000000=>0000000 [5,3,6,8,1,4,7,2]=>0000000=>0000000 [5,1,6,8,3,4,7,2]=>0000000=>0000000 [3,5,1,8,6,4,7,2]=>0000000=>0000000 [6,4,8,1,5,7,2,3]=>0000000=>0000000 [4,7,2,8,3,1,6,5]=>0000000=>0000000 [1,2,5,6,8,3,7,4]=>1100000=>0000011 [5,1,6,8,7,2,3,4]=>0000000=>0000000 [1,5,6,8,3,7,2,4]=>1000000=>0000001 [5,6,8,1,2,3,7,4]=>0000000=>0000000 [2,8,1,3,5,7,4,6]=>0000000=>0000000 [7,4,8,1,5,2,6,3]=>0000000=>0000000 [8,3,2,1,6,5,7,4]=>0000000=>0000000 [4,1,5,6,8,7,2,3]=>0000000=>0000000 [1,2,5,6,8,4,7,3]=>1100000=>0000011 [1,5,6,8,4,7,2,3]=>1000000=>0000001 [6,8,1,4,5,7,2,3]=>0000000=>0000000 [4,3,5,1,8,6,7,2]=>0000000=>0000000 [1,3,5,6,8,4,7,2]=>1000000=>0000001 [5,6,8,1,3,4,7,2]=>0000000=>0000000 [5,6,8,2,3,4,7,1]=>0000000=>0000000 [2,3,1,7,6,8,4,5]=>0010000=>0000100 [2,7,4,1,3,6,8,5]=>0000000=>0000000 [6,3,2,8,1,7,5,4]=>0000000=>0000000 [4,5,3,1,2,8,6,7]=>0000100=>0010000 [6,2,1,7,5,8,4,3]=>0000000=>0000000 [1,5,7,8,6,4,2,3]=>1000000=>0000001 [1,6,4,8,5,3,7,2]=>1000000=>0000001 [4,2,6,7,8,1,3,5]=>0000000=>0000000 [4,5,1,7,6,3,8,2]=>0000000=>0000000 [8,1,5,4,2,3,6,7]=>0000000=>0000000 [6,1,4,8,7,2,3,5]=>0000000=>0000000 [6,1,7,5,8,2,3,4]=>0000000=>0000000 [6,1,7,4,8,2,3,5]=>0000000=>0000000 [3,5,8,6,2,1,4,7]=>0000000=>0000000 [8,7,3,6,5,2,4,1]=>0000000=>0000000 [7,3,8,6,2,1,4,5]=>0000000=>0000000 [2,5,1,4,7,3,6,8]=>0000001=>1000000 [3,1,6,5,7,2,4,8]=>0000001=>1000000 [2,5,7,1,6,3,4,8]=>0000001=>1000000 [2,5,7,1,6,3,8,4]=>0000000=>0000000 [2,6,1,5,7,4,3,8]=>0000001=>1000000 [3,1,6,5,2,4,7,8]=>0000011=>1100000 [3,6,5,1,4,2,7,8]=>0000011=>1100000 [3,5,6,2,8,1,7,4]=>0000000=>0000000 [3,6,5,1,7,2,4,8]=>0000001=>1000000 [3,6,5,2,1,4,7,8]=>0000011=>1100000 [4,5,2,7,6,1,3,8]=>0000001=>1000000 [4,6,5,3,1,2,7,8]=>0000011=>1100000 [5,4,1,6,3,7,2,8]=>0000001=>1000000 [5,4,2,6,3,7,8,1]=>0000000=>0000000 [3,6,5,7,1,4,2,8]=>0000001=>1000000 [3,6,5,1,4,7,2,8]=>0000001=>1000000 [4,3,6,5,7,1,2,8]=>0000001=>1000000 [4,2,6,5,1,3,7,8]=>0000011=>1100000 [4,1,6,5,3,7,8,2]=>0000000=>0000000 [4,1,5,7,6,3,8,2]=>0000000=>0000000 [4,2,5,7,6,1,3,8]=>0000001=>1000000 [3,4,7,6,1,2,5,8]=>0000001=>1000000 [3,4,7,6,8,2,5,1]=>0000000=>0000000 [4,2,5,7,6,3,8,1]=>0000000=>0000000 [4,1,6,5,2,7,3,8]=>0000001=>1000000 [4,2,6,5,7,3,1,8]=>0000001=>1000000 [3,6,5,7,2,1,4,8]=>0000001=>1000000 [3,5,7,6,2,4,1,8]=>0000001=>1000000 [5,4,2,6,3,7,1,8]=>0000001=>1000000 [4,6,5,2,7,3,1,8]=>0000001=>1000000 [4,5,2,7,6,3,8,1]=>0000000=>0000000 [4,6,5,2,1,7,3,8]=>0000001=>1000000 [3,5,8,2,1,4,6,7]=>0000000=>0000000 [3,5,8,2,4,6,7,1]=>0000000=>0000000 [5,3,8,2,1,4,6,7]=>0000000=>0000000 [5,3,1,8,2,4,6,7]=>0000000=>0000000 [1,5,3,8,2,4,6,7]=>1000000=>0000001 [1,5,8,4,2,3,6,7]=>1000000=>0000001 [5,8,2,1,4,3,6,7]=>0000000=>0000000 [5,8,2,4,6,3,1,7]=>0000000=>0000000 [5,8,2,4,3,6,1,7]=>0000000=>0000000 [5,8,1,4,6,2,3,7]=>0000000=>0000000 [1,5,8,4,6,7,2,3]=>1000000=>0000001 [5,1,8,4,6,7,2,3]=>0000000=>0000000 [5,8,2,4,6,3,7,1]=>0000000=>0000000 [3,8,4,6,7,2,1,5]=>0000000=>0000000 [3,8,4,6,7,2,5,1]=>0000000=>0000000 [8,4,3,6,7,2,5,1]=>0000000=>0000000 [8,4,3,6,7,2,1,5]=>0000000=>0000000 [8,6,2,4,5,3,7,1]=>0000000=>0000000 [8,6,4,1,5,7,2,3]=>0000000=>0000000 [1,8,6,4,5,7,2,3]=>1000000=>0000001 [8,1,6,4,5,2,3,7]=>0000000=>0000000 [8,6,2,4,5,3,1,7]=>0000000=>0000000 [1,8,6,4,2,3,5,7]=>1000000=>0000001 [3,8,1,6,2,4,5,7]=>0000000=>0000000 [1,3,8,6,2,4,5,7]=>1000000=>0000001 [3,8,6,2,1,4,5,7]=>0000000=>0000000 [3,8,6,2,4,1,5,7]=>0000000=>0000000 [3,8,6,2,4,5,7,1]=>0000000=>0000000 [8,3,6,2,4,5,1,7]=>0000000=>0000000 [1,8,3,6,2,4,5,7]=>1000000=>0000001 [8,1,3,6,2,4,5,7]=>0000000=>0000000 [8,3,6,7,2,1,4,5]=>0000000=>0000000 [2,5,8,4,6,1,7,3]=>0000000=>0000000 [3,8,6,7,2,1,4,5]=>0000000=>0000000 [3,1,8,6,7,2,4,5]=>0000000=>0000000 [8,2,6,4,5,1,7,3]=>0000000=>0000000 [8,4,6,1,7,2,5,3]=>0000000=>0000000 [1,8,4,6,7,5,2,3]=>1000000=>0000001 [8,1,4,6,7,5,2,3]=>0000000=>0000000 [8,4,6,1,3,7,2,5]=>0000000=>0000000 [8,1,4,6,3,7,2,5]=>0000000=>0000000 [8,4,1,6,3,7,2,5]=>0000000=>0000000 [8,2,4,6,1,7,5,3]=>0000000=>0000000 [8,4,6,2,3,7,5,1]=>0000000=>0000000 [8,4,7,2,1,3,6,5]=>0000000=>0000000 [8,4,2,1,5,3,7,6]=>0000000=>0000000 [8,2,1,4,7,3,6,5]=>0000000=>0000000 [2,8,4,1,7,5,3,6]=>0000000=>0000000 [4,7,3,1,8,6,2,5]=>0000000=>0000000 [2,1,5,8,7,3,6,4]=>0100000=>0000010 [4,3,1,7,8,5,2,6]=>0000000=>0000000 [5,8,2,6,4,3,7,1]=>0000000=>0000000 [2,8,5,3,6,4,7,1]=>0000000=>0000000 [1,2,8,6,4,7,3,5]=>1100000=>0000011 [4,2,7,8,3,5,6,1]=>0000000=>0000000 [2,8,3,7,1,4,6,5]=>0000000=>0000000 [3,2,4,8,7,5,6,1]=>0000000=>0000000 [1,8,6,4,7,5,3,2]=>1000000=>0000001 [8,6,4,7,5,1,2,3]=>0000000=>0000000 [2,7,4,6,3,8,5,1]=>0000000=>0000000 [1,2,8,6,4,7,5,3]=>1100000=>0000011 [1,6,5,4,3,8,2,7]=>1000000=>0000001 [6,4,2,1,5,7,3,8]=>0000001=>1000000 [3,1,5,8,7,2,4,6]=>0000000=>0000000 [3,2,5,7,8,4,1,6]=>0000000=>0000000 [3,2,5,7,8,4,6,1]=>0000000=>0000000 [5,3,7,4,2,6,8,1]=>0000000=>0000000 [5,3,7,4,2,6,1,8]=>0000001=>1000000 [5,2,8,4,3,1,6,7]=>0000000=>0000000 [5,1,8,4,3,2,6,7]=>0000000=>0000000 [5,2,7,4,3,6,1,8]=>0000001=>1000000 [5,2,7,4,3,6,8,1]=>0000000=>0000000 [5,3,7,4,1,6,8,2]=>0000000=>0000000 [3,1,5,7,8,4,2,6]=>0000000=>0000000 [1,2,8,6,4,5,7,3]=>1100000=>0000011 [6,2,3,7,4,1,8,5]=>0000000=>0000000 [5,2,7,4,1,3,8,6]=>0000000=>0000000 [6,2,3,7,4,8,5,1]=>0000000=>0000000 [6,2,3,7,4,8,1,5]=>0000000=>0000000 [6,1,3,7,4,2,8,5]=>0000000=>0000000 [6,2,3,7,4,5,1,8]=>0000001=>1000000 [6,2,3,7,4,5,8,1]=>0000000=>0000000 [6,1,3,7,4,5,8,2]=>0000000=>0000000 [1,2,8,6,4,3,5,7]=>1100000=>0000011 [6,1,3,7,4,5,2,8]=>0000001=>1000000 [1,8,6,3,5,4,2,7]=>1000000=>0000001 [2,5,4,1,8,6,7,3]=>0000000=>0000000 [1,8,5,3,2,6,7,4]=>1000000=>0000001 [5,6,8,3,4,2,7,1]=>0000000=>0000000 [6,3,8,2,4,1,7,5]=>0000000=>0000000 [5,1,7,8,2,4,3,6]=>0000000=>0000000 [5,3,2,4,8,1,7,6]=>0000000=>0000000 [5,3,2,4,8,1,6,7]=>0000000=>0000000 [5,3,2,4,7,1,8,6]=>0000000=>0000000 [8,4,5,3,7,1,2,6]=>0000000=>0000000 [5,3,2,4,6,8,1,7]=>0000000=>0000000 [7,6,4,2,8,3,1,5]=>0000000=>0000000 [1,2,6,4,7,3,5,8]=>1100001=>1000011 [7,5,4,1,3,6,8,2]=>0000000=>0000000 [6,7,2,4,5,1,8,3]=>0000000=>0000000 [5,2,7,8,3,6,1,4]=>0000000=>0000000 [2,7,8,5,6,1,4,3]=>0000000=>0000000 [5,2,8,3,1,4,7,6]=>0000000=>0000000 [8,3,5,1,2,4,7,6]=>0000000=>0000000 [8,3,6,5,4,1,2,7]=>0000000=>0000000 [8,4,1,7,5,2,6,3]=>0000000=>0000000 [8,4,2,7,5,3,1,6]=>0000000=>0000000 [1,5,2,6,8,3,7,4]=>1000000=>0000001 [7,2,8,4,1,3,5,6]=>0000000=>0000000 [6,7,8,5,2,1,4,3]=>0000000=>0000000 [1,6,2,7,8,4,3,5]=>1000000=>0000001 [4,3,8,6,5,2,7,1]=>0000000=>0000000 [2,3,8,6,5,1,7,4]=>0000000=>0000000 [7,3,2,6,1,4,8,5]=>0000000=>0000000 [8,4,7,1,2,5,3,6]=>0000000=>0000000 [8,5,6,7,2,1,4,3]=>0000000=>0000000 [8,5,6,7,3,1,4,2]=>0000000=>0000000 [5,7,8,1,3,2,4,6]=>0000000=>0000000 [7,8,6,1,3,5,4,2]=>0000000=>0000000 [1,2,5,7,8,3,6,4]=>1100000=>0000011 [3,4,5,8,1,7,2,6]=>0000000=>0000000 [4,3,8,6,7,5,1,2]=>0000000=>0000000 [4,5,6,2,7,8,3,1]=>0000000=>0000000 [4,5,6,2,7,1,8,3]=>0000000=>0000000 [4,5,6,2,1,7,3,8]=>0000001=>1000000 [4,5,6,1,7,8,3,2]=>0000000=>0000000 [4,5,1,6,7,8,3,2]=>0000000=>0000000 [4,5,1,6,7,3,8,2]=>0000000=>0000000 [4,5,1,6,7,3,2,8]=>0000001=>1000000 [4,5,6,1,7,3,2,8]=>0000001=>1000000 [1,6,4,3,8,2,7,5]=>1000000=>0000001 [7,8,1,4,3,2,5,6]=>0000000=>0000000 [1,7,8,4,5,3,6,2]=>1000000=>0000001 [2,7,6,3,4,1,8,5]=>0000000=>0000000 [8,1,7,4,3,5,6,2]=>0000000=>0000000 [7,1,8,4,5,3,6,2]=>0000000=>0000000 [4,3,1,8,6,5,7,2]=>0000000=>0000000 [4,3,2,7,5,1,8,6]=>0000000=>0000000 [5,2,3,7,4,1,8,6]=>0000000=>0000000 [2,1,7,4,3,6,8,5]=>0100000=>0000010 [7,1,2,4,5,6,8,3]=>0000000=>0000000 [2,8,7,1,4,5,6,3]=>0000000=>0000000 [8,7,1,3,4,5,6,2]=>0000000=>0000000 [7,8,1,3,4,5,6,2]=>0000000=>0000000 [1,7,2,5,4,6,8,3]=>1000000=>0000001 [2,5,3,8,1,6,7,4]=>0000000=>0000000 [1,6,4,2,5,7,8,3]=>1000000=>0000001 [8,5,3,1,4,6,7,2]=>0000000=>0000000 [6,5,3,4,1,7,8,2]=>0000000=>0000000 [5,6,3,4,1,7,8,2]=>0000000=>0000000 [2,5,3,1,4,7,8,6]=>0000100=>0010000 [2,6,1,4,3,7,8,5]=>0000000=>0000000 [6,8,2,3,1,5,7,4]=>0000000=>0000000 [6,1,3,4,2,7,8,5]=>0000000=>0000000 [4,3,1,5,2,7,8,6]=>0000100=>0010000 [5,2,3,1,4,7,8,6]=>0000100=>0010000 [7,2,1,3,5,6,8,4]=>0000000=>0000000 [5,2,4,7,8,6,3,1]=>0000000=>0000000 [8,4,2,7,6,1,5,3]=>0000000=>0000000 [5,3,7,6,1,8,4,2]=>0000000=>0000000 [8,6,4,1,2,5,3,7]=>0000000=>0000000 [8,6,1,4,2,5,7,3]=>0000000=>0000000 [8,6,4,1,2,5,7,3]=>0000000=>0000000 [8,6,1,4,7,2,5,3]=>0000000=>0000000 [4,2,6,3,5,1,7,8]=>0000011=>1100000 [3,4,6,8,7,1,2,5]=>0000000=>0000000 [2,5,4,8,3,7,6,1]=>0000000=>0000000 [1,3,6,2,5,8,7,4]=>1000000=>0000001 [1,3,5,8,6,4,7,2]=>1000000=>0000001 [5,8,7,1,4,6,3,2]=>0000000=>0000000 [6,2,5,1,3,4,8,7]=>0000010=>0100000 [2,6,5,1,3,4,8,7]=>0000010=>0100000 [4,6,5,1,2,7,3,8]=>0000001=>1000000 [5,6,4,1,2,7,3,8]=>0000001=>1000000 [8,1,5,6,2,4,3,7]=>0000000=>0000000 [6,4,5,1,2,7,3,8]=>0000001=>1000000 [5,4,6,1,3,2,7,8]=>0000011=>1100000 [5,7,1,4,3,2,6,8]=>0000001=>1000000 [2,6,4,1,3,7,5,8]=>0000001=>1000000 [6,3,2,5,7,4,8,1]=>0000000=>0000000 [4,5,2,7,6,3,1,8]=>0000001=>1000000 [4,5,2,1,7,6,3,8]=>0000001=>1000000 [5,4,1,6,7,2,8,3]=>0000000=>0000000 [4,1,6,5,2,7,8,3]=>0000000=>0000000 [5,4,6,2,7,8,3,1]=>0000000=>0000000 [3,5,2,6,7,8,4,1]=>0000000=>0000000 [6,3,2,5,1,7,8,4]=>0000000=>0000000 [4,6,3,7,8,2,1,5]=>0000000=>0000000 [5,6,7,1,8,4,2,3]=>0000000=>0000000 [5,6,7,2,8,4,1,3]=>0000000=>0000000 [2,8,4,7,6,3,1,5]=>0000000=>0000000 [6,4,8,7,2,1,5,3]=>0000000=>0000000 [2,5,1,8,4,7,6,3]=>0000000=>0000000 [2,4,5,8,1,7,6,3]=>0000000=>0000000 [2,6,8,1,4,3,7,5]=>0000000=>0000000 [2,6,1,5,8,7,3,4]=>0000000=>0000000 [7,5,8,1,6,2,3,4]=>0000000=>0000000 [7,6,1,3,5,2,4,8]=>0000001=>1000000 [6,2,4,5,3,8,1,7]=>0000000=>0000000 [1,2,5,4,7,8,3,6]=>1100000=>0000011 [3,6,2,4,7,8,5,1]=>0000000=>0000000 [1,3,5,4,8,7,2,6]=>1000000=>0000001 [1,6,2,4,8,3,7,5]=>1000000=>0000001 [7,1,4,2,3,8,6,5]=>0000000=>0000000 [1,7,3,2,4,6,5,8]=>1000001=>1000001 [1,5,7,3,2,6,4,8]=>1000001=>1000001 [5,1,3,7,2,6,4,8]=>0000001=>1000000 [1,7,8,5,4,2,6,3]=>1000000=>0000001 [8,1,7,5,4,2,6,3]=>0000000=>0000000 [1,6,5,2,7,4,8,3]=>1000000=>0000001 [1,5,4,2,8,6,7,3]=>1000000=>0000001 [1,6,3,5,2,7,8,4]=>1000000=>0000001 [3,1,2,6,8,7,5,4]=>0010000=>0000100 [6,4,8,2,5,7,1,3]=>0000000=>0000000 [6,8,4,2,7,1,3,5]=>0000000=>0000000 [6,8,2,4,1,7,3,5]=>0000000=>0000000 [2,5,4,7,6,1,3,8]=>0000001=>1000000 [5,2,3,7,6,1,4,8]=>0000001=>1000000 [4,2,3,7,6,1,5,8]=>0000001=>1000000 [4,2,7,3,5,1,6,8]=>0000001=>1000000 [5,6,2,3,8,4,7,1]=>0000000=>0000000 [5,6,2,3,1,7,8,4]=>0000000=>0000000 [5,7,2,3,4,1,6,8]=>0000001=>1000000 [6,2,7,3,5,1,4,8]=>0000001=>1000000 [7,2,6,3,5,1,4,8]=>0000001=>1000000 [6,5,2,3,1,7,8,4]=>0000000=>0000000 [6,5,2,3,8,4,7,1]=>0000000=>0000000 [7,5,2,1,4,6,8,3]=>0000000=>0000000 [8,5,2,1,4,6,7,3]=>0000000=>0000000 [8,5,2,3,1,6,4,7]=>0000000=>0000000 [8,6,2,3,1,5,4,7]=>0000000=>0000000 [8,2,6,3,1,7,4,5]=>0000000=>0000000 [1,6,3,4,2,7,5,8]=>1000001=>1000001 [8,5,2,7,3,4,6,1]=>0000000=>0000000 [1,7,2,4,5,6,8,3]=>1000000=>0000001 [1,8,3,2,5,6,4,7]=>1000000=>0000001 [8,6,1,3,4,5,7,2]=>0000000=>0000000 [6,8,1,3,4,5,7,2]=>0000000=>0000000 [7,2,8,1,4,6,3,5]=>0000000=>0000000 [2,7,8,1,5,6,3,4]=>0000000=>0000000 [6,8,2,3,1,5,4,7]=>0000000=>0000000 [5,8,2,3,1,6,4,7]=>0000000=>0000000 [5,7,2,1,4,6,8,3]=>0000000=>0000000 [4,2,3,8,1,7,5,6]=>0000000=>0000000 [5,2,3,8,1,7,4,6]=>0000000=>0000000 [2,5,4,8,1,7,3,6]=>0000000=>0000000 [2,5,4,1,3,8,6,7]=>0000100=>0010000 [4,2,1,5,3,7,6,8]=>0000101=>1010000 [5,1,3,2,6,7,8,4]=>0000000=>0000000 [5,1,3,4,2,7,6,8]=>0000101=>1010000 [6,1,3,4,2,7,5,8]=>0000001=>1000000 [7,2,1,3,5,8,4,6]=>0000000=>0000000 [6,1,2,4,5,7,8,3]=>0000000=>0000000 [6,8,7,2,3,4,5,1]=>0000000=>0000000 [2,8,7,5,1,3,4,6]=>0000000=>0000000 [8,3,7,5,1,4,2,6]=>0000000=>0000000 [8,3,7,1,6,4,2,5]=>0000000=>0000000 [4,2,6,5,3,1,7,8]=>0000011=>1100000 [4,3,7,5,1,6,2,8]=>0000001=>1000000 [3,5,2,8,6,7,4,1]=>0000000=>0000000 [5,3,7,4,2,8,6,1]=>0000000=>0000000 [5,6,2,8,7,1,4,3]=>0000000=>0000000 [4,3,7,5,2,6,1,8]=>0000001=>1000000 [4,6,3,5,2,7,8,1]=>0000000=>0000000 [4,1,6,3,5,7,2,8]=>0000001=>1000000 [3,1,5,7,4,6,8,2]=>0000000=>0000000 [7,2,5,8,6,1,4,3]=>0000000=>0000000 [7,8,4,5,1,3,6,2]=>0000000=>0000000 [4,3,6,1,5,7,8,2]=>0000000=>0000000 [6,4,7,1,3,5,2,8]=>0000001=>1000000 [3,5,4,1,2,6,7,8]=>0000111=>1110000 [5,3,1,4,6,7,8,2]=>0000000=>0000000 [6,2,1,4,7,5,8,3]=>0000000=>0000000 [4,6,7,1,3,5,8,2]=>0000000=>0000000 [5,6,1,3,4,7,2,8]=>0000001=>1000000 [2,5,3,7,8,4,6,1]=>0000000=>0000000 [4,5,7,2,3,6,1,8]=>0000001=>1000000 [4,6,2,1,3,7,8,5]=>0000000=>0000000 [3,6,2,4,1,7,5,8]=>0000001=>1000000 [3,2,6,7,4,8,5,1]=>0000000=>0000000 [7,3,4,8,5,2,1,6]=>0000000=>0000000 [7,1,8,3,4,6,2,5]=>0000000=>0000000 [6,3,2,7,5,8,4,1]=>0000000=>0000000 [6,2,7,1,4,5,3,8]=>0000001=>1000000 [4,2,6,1,5,7,3,8]=>0000001=>1000000 [2,7,5,8,6,3,4,1]=>0000000=>0000000 [2,5,4,1,3,6,7,8]=>0000111=>1110000 [5,4,1,2,6,7,3,8]=>0000001=>1000000 [6,5,2,7,4,1,3,8]=>0000001=>1000000 [6,5,7,3,1,4,2,8]=>0000001=>1000000 [6,7,4,3,1,5,8,2]=>0000000=>0000000 [6,4,1,2,7,8,3,5]=>0000000=>0000000 [5,1,4,7,2,6,8,3]=>0000000=>0000000 [5,2,6,8,3,7,1,4]=>0000000=>0000000 [1,7,2,4,3,5,8,6]=>1000000=>0000001 [8,4,1,5,2,6,7,3]=>0000000=>0000000 [7,4,1,3,6,5,2,8]=>0000001=>1000000 [5,7,2,8,1,3,6,4]=>0000000=>0000000 [5,4,1,2,6,3,8,7]=>0000010=>0100000 [2,7,8,4,1,3,6,5]=>0000000=>0000000 [3,6,5,1,4,8,2,7]=>0000000=>0000000 [3,6,4,1,2,7,8,5]=>0000000=>0000000 [4,1,7,3,8,6,2,5]=>0000000=>0000000 [4,8,2,7,6,5,1,3]=>0000000=>0000000 [5,4,2,8,7,6,1,3]=>0000000=>0000000 [7,4,2,8,6,5,1,3]=>0000000=>0000000 [6,5,8,2,7,4,1,3]=>0000000=>0000000 [8,6,5,2,7,1,4,3]=>0000000=>0000000 [7,8,5,2,1,6,4,3]=>0000000=>0000000 [6,8,5,2,7,1,4,3]=>0000000=>0000000 [6,5,8,2,7,1,4,3]=>0000000=>0000000 [7,5,8,2,1,6,4,3]=>0000000=>0000000 [3,2,1,6,5,8,4,7]=>0010000=>0000100 [6,3,1,4,5,8,2,7]=>0000000=>0000000 [3,4,8,5,2,1,7,6]=>0000000=>0000000 [4,8,7,1,3,2,6,5]=>0000000=>0000000 [3,5,1,4,2,8,7,6]=>0000100=>0010000 [5,8,7,4,6,1,3,2]=>0000000=>0000000 [5,1,8,7,4,6,3,2]=>0000000=>0000000 [3,4,1,8,7,6,2,5]=>0000000=>0000000 [3,5,2,8,6,4,7,1]=>0000000=>0000000 [2,8,7,5,4,1,6,3]=>0000000=>0000000 [4,2,5,8,6,7,1,3]=>0000000=>0000000 [8,1,5,7,4,2,6,3]=>0000000=>0000000 [8,4,5,3,1,6,7,2]=>0000000=>0000000 [5,8,7,3,4,1,6,2]=>0000000=>0000000 [2,4,5,8,1,3,7,6]=>0000000=>0000000 [7,1,4,3,8,5,6,2]=>0000000=>0000000 [6,3,2,5,8,4,1,7]=>0000000=>0000000 [8,4,1,3,7,6,5,2]=>0000000=>0000000 [5,1,6,4,7,8,2,3]=>0000000=>0000000 [2,8,3,5,6,1,4,7]=>0000000=>0000000 [1,3,6,4,2,7,5,8]=>1000001=>1000001 [3,2,8,5,6,1,4,7]=>0000000=>0000000 [7,2,5,8,1,4,6,3]=>0000000=>0000000 [4,7,5,8,1,2,6,3]=>0000000=>0000000 [5,4,7,8,2,1,3,6]=>0000000=>0000000 [4,7,5,8,1,2,3,6]=>0000000=>0000000 [3,4,7,5,2,8,1,6]=>0000000=>0000000 [4,3,2,5,7,8,1,6]=>0000000=>0000000 [5,4,8,6,2,3,1,7]=>0000000=>0000000 [2,4,7,5,8,3,1,6]=>0000000=>0000000 [7,2,5,8,1,6,3,4]=>0000000=>0000000 [3,7,8,4,2,1,6,5]=>0000000=>0000000 [1,5,4,8,7,6,2,3]=>1000000=>0000001 [1,3,6,8,2,4,7,5]=>1000000=>0000001 [4,7,2,8,5,1,6,3]=>0000000=>0000000 [4,7,5,2,6,3,8,1]=>0000000=>0000000 [3,5,6,2,8,1,4,7]=>0000000=>0000000 [1,6,8,2,5,3,4,7]=>1000000=>0000001 [8,6,3,5,2,1,4,7]=>0000000=>0000000 [8,7,3,2,6,5,1,4]=>0000000=>0000000 [5,2,8,7,6,4,1,3]=>0000000=>0000000 [4,1,3,8,5,6,2,7]=>0000000=>0000000 [3,2,4,8,5,7,1,6]=>0000000=>0000000 [4,5,2,8,3,7,1,6]=>0000000=>0000000 [7,8,5,1,6,4,3,2]=>0000000=>0000000 [8,7,5,1,6,4,3,2]=>0000000=>0000000 [4,5,8,3,1,2,7,6]=>0000000=>0000000 [7,1,6,8,5,4,3,2]=>0000000=>0000000 [5,8,1,3,4,2,7,6]=>0000000=>0000000 [1,4,6,3,7,5,2,8]=>1000001=>1000001 [1,3,2,8,7,4,6,5]=>1010000=>0000101 [7,5,2,8,3,1,6,4]=>0000000=>0000000 [6,7,1,3,2,5,8,4]=>0000000=>0000000 [6,3,5,4,8,1,2,7]=>0000000=>0000000 [6,2,5,4,1,7,8,3]=>0000000=>0000000 [4,1,5,6,3,8,7,2]=>0000000=>0000000 [8,1,5,4,6,7,3,2]=>0000000=>0000000 [2,4,5,8,3,7,6,1]=>0000000=>0000000 [6,1,3,5,4,8,2,7]=>0000000=>0000000 [1,3,8,7,2,5,6,4]=>1000000=>0000001 [2,5,4,1,8,3,7,6]=>0000000=>0000000 [6,1,5,4,3,8,2,7]=>0000000=>0000000 [1,4,8,3,2,7,6,5]=>1000000=>0000001 [5,1,4,8,3,7,6,2]=>0000000=>0000000 [3,5,8,2,1,4,7,6]=>0000000=>0000000 [8,4,1,2,7,6,5,3]=>0000000=>0000000 [4,8,3,2,7,6,5,1]=>0000000=>0000000 [2,4,8,1,7,6,5,3]=>0000000=>0000000 [8,7,3,2,1,4,6,5]=>0000000=>0000000 [1,4,8,5,2,3,6,7]=>1000000=>0000001 [6,1,4,2,8,7,3,5]=>0000000=>0000000 [1,5,8,7,2,4,3,6]=>1000000=>0000001 [8,7,1,3,2,5,4,6]=>0000000=>0000000 [6,7,4,2,8,1,3,5]=>0000000=>0000000 [8,5,1,4,7,6,3,2]=>0000000=>0000000 [8,1,3,7,2,4,6,5]=>0000000=>0000000 [5,3,1,6,4,8,2,7]=>0000000=>0000000 [2,5,6,7,1,4,8,3]=>0000000=>0000000 [1,4,2,7,5,8,3,6]=>1000000=>0000001 [5,8,1,2,7,4,3,6]=>0000000=>0000000 [4,6,3,7,8,1,5,2]=>0000000=>0000000 [2,4,7,3,6,8,1,5]=>0000000=>0000000 [2,7,3,1,8,5,4,6]=>0000000=>0000000 [2,3,1,6,8,7,4,5]=>0010000=>0000100 [6,4,8,2,1,7,3,5]=>0000000=>0000000 [8,5,1,2,7,4,3,6]=>0000000=>0000000 [1,3,7,6,8,4,2,5]=>1000000=>0000001 [2,1,5,7,4,6,8,3]=>0100000=>0000010 [2,3,5,7,8,1,6,4]=>0000000=>0000000 [1,6,4,2,3,5,7,8]=>1000011=>1100001 [1,5,7,4,2,3,6,8]=>1000001=>1000001 [8,1,7,2,4,6,3,5]=>0000000=>0000000 [2,4,7,8,3,5,1,6]=>0000000=>0000000 [1,3,6,2,5,8,4,7]=>1000000=>0000001 [1,5,3,6,8,2,4,7]=>1000000=>0000001 [2,8,5,1,4,3,7,6]=>0000000=>0000000 [1,8,6,2,4,3,7,5]=>1000000=>0000001 [4,1,6,5,2,3,7,8]=>0000011=>1100000 [4,1,3,6,7,2,5,8]=>0000001=>1000000 [2,7,5,8,1,3,6,4]=>0000000=>0000000 [5,1,6,7,3,2,4,8]=>0000001=>1000000 [7,4,1,2,3,6,8,5]=>0000000=>0000000 [9,10,6,4,2,1,3,5,8,7]=>000000000=>000000000 [10,7,8,4,2,1,3,6,5,9]=>000000000=>000000000 [9,7,10,4,2,1,3,6,8,5]=>000000000=>000000000 [8,9,10,4,2,1,3,7,6,5]=>000000000=>000000000 [10,8,5,6,2,1,4,3,7,9]=>000000000=>000000000 [9,10,5,6,2,1,4,3,8,7]=>000000000=>000000000 [10,7,5,8,2,1,4,6,3,9]=>000000000=>000000000 [9,7,5,10,2,1,4,6,8,3]=>000000000=>000000000 [8,9,5,10,2,1,4,7,6,3]=>000000000=>000000000 [10,6,7,8,2,1,5,4,3,9]=>000000000=>000000000 [9,6,7,10,2,1,5,4,8,3]=>000000000=>000000000 [8,6,9,10,2,1,5,7,4,3]=>000000000=>000000000 [7,8,9,10,2,1,6,5,4,3]=>000000000=>000000000 [10,8,6,3,4,2,1,5,7,9]=>000000000=>000000000 [9,10,6,3,4,2,1,5,8,7]=>000000000=>000000000 [10,7,8,3,4,2,1,6,5,9]=>000000000=>000000000 [9,7,10,3,4,2,1,6,8,5]=>000000000=>000000000 [8,9,10,3,4,2,1,7,6,5]=>000000000=>000000000 [10,8,5,3,6,2,4,1,7,9]=>000000000=>000000000 [9,10,5,3,6,2,4,1,8,7]=>000000000=>000000000 [10,7,5,3,8,2,4,6,1,9]=>000000000=>000000000 [9,7,5,3,10,2,4,6,8,1]=>000000000=>000000000 [8,9,5,3,10,2,4,7,6,1]=>000000000=>000000000 [10,6,7,3,8,2,5,4,1,9]=>000000000=>000000000 [9,6,7,3,10,2,5,4,8,1]=>000000000=>000000000 [8,6,9,3,10,2,5,7,4,1]=>000000000=>000000000 [7,8,9,3,10,2,6,5,4,1]=>000000000=>000000000 [10,8,4,5,6,3,2,1,7,9]=>000000000=>000000000 [9,10,4,5,6,3,2,1,8,7]=>000000000=>000000000 [10,7,4,5,8,3,2,6,1,9]=>000000000=>000000000 [9,7,4,5,10,3,2,6,8,1]=>000000000=>000000000 [8,9,4,5,10,3,2,7,6,1]=>000000000=>000000000 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[7,3,2,4,8,1,6,5]=>0000000=>0000000 [8,3,2,4,6,1,7,5]=>0000000=>0000000 [8,3,2,4,5,7,1,6]=>0000000=>0000000 [8,3,6,2,4,1,7,5]=>0000000=>0000000 [7,4,6,2,1,3,8,5]=>0000000=>0000000 [3,2,4,5,7,8,1,6]=>0000000=>0000000 [3,6,7,2,4,1,8,5]=>0000000=>0000000 [7,3,5,2,8,1,4,6]=>0000000=>0000000 [2,6,8,4,5,1,7,3]=>0000000=>0000000 [1,5,8,7,4,2,3,6]=>1000000=>0000001 [1,5,2,7,6,4,8,3]=>1000000=>0000001 [1,4,6,8,7,2,5,3]=>1000000=>0000001 [1,3,6,8,7,2,5,4]=>1000000=>0000001 [1,4,3,6,8,7,2,5]=>1000000=>0000001 [1,6,2,7,5,3,4,8]=>1000001=>1000001 [1,7,2,5,4,3,8,6]=>1000000=>0000001 [1,6,3,7,2,4,5,8]=>1000001=>1000001 [1,3,2,6,8,5,4,7]=>1010000=>0000101 [1,6,3,2,7,4,5,8]=>1000001=>1000001 [1,5,8,6,2,7,4,3]=>1000000=>0000001 [1,3,7,2,6,4,5,8]=>1000001=>1000001 [1,3,7,5,8,6,2,4]=>1000000=>0000001 [1,7,3,2,8,5,6,4]=>1000000=>0000001 [1,6,5,2,4,8,3,7]=>1000000=>0000001 [1,4,7,6,2,3,5,8]=>1000001=>1000001 [1,7,3,8,4,2,5,6]=>1000000=>0000001 [1,6,2,4,7,5,8,3]=>1000000=>0000001 [1,6,2,7,4,3,8,5]=>1000000=>0000001 [1,5,8,2,3,6,4,7]=>1000000=>0000001 [5,4,7,8,1,6,3,2]=>0000000=>0000000 [1,7,8,4,3,6,5,2]=>1000000=>0000001 [1,7,8,3,6,5,4,2]=>1000000=>0000001 [1,8,4,2,3,7,5,6]=>1000000=>0000001 [6,5,1,3,8,4,2,7]=>0000000=>0000000 [6,1,4,2,7,8,3,5]=>0000000=>0000000 [6,5,1,3,7,8,4,2]=>0000000=>0000000 [5,6,8,2,4,7,1,3]=>0000000=>0000000 [5,1,3,2,6,8,4,7]=>0000000=>0000000 [1,5,7,3,6,4,2,8]=>1000001=>1000001 [1,6,3,5,7,4,8,2]=>1000000=>0000001 [1,7,2,4,8,3,5,6]=>1000000=>0000001 [1,6,7,2,4,8,3,5]=>1000000=>0000001 [1,6,7,8,2,4,3,5]=>1000000=>0000001 [3,1,6,7,8,4,2,5]=>0000000=>0000000 [3,1,6,7,8,4,5,2]=>0000000=>0000000 [1,6,7,8,2,4,5,3]=>1000000=>0000001 [4,2,7,6,8,5,1,3]=>0000000=>0000000 [5,3,4,1,7,8,6,2]=>0000000=>0000000 [3,7,5,6,1,8,4,2]=>0000000=>0000000 [2,4,7,5,8,3,6,1]=>0000000=>0000000 [6,8,7,4,2,5,1,3]=>0000000=>0000000 [7,6,3,1,2,8,5,4]=>0000000=>0000000 [3,1,8,6,4,7,2,5]=>0000000=>0000000 [6,2,7,8,3,4,5,1]=>0000000=>0000000 [8,1,3,5,6,4,7,2]=>0000000=>0000000 [2,3,7,5,8,4,6,1]=>0000000=>0000000 [8,1,7,4,2,5,3,6]=>0000000=>0000000 [5,2,6,4,1,3,8,7]=>0000010=>0100000 [2,1,8,5,4,3,7,6]=>0100000=>0000010 [5,2,4,7,8,1,3,6]=>0000000=>0000000 [1,7,6,2,8,5,3,4]=>1000000=>0000001 [5,6,2,8,1,7,3,4]=>0000000=>0000000 [3,1,2,4,8,6,7,5]=>0011000=>0001100 [1,8,7,2,3,4,5,6]=>1000000=>0000001 [3,7,5,2,8,1,4,6]=>0000000=>0000000 [1,2,7,4,8,5,6,3]=>1100000=>0000011 [5,6,3,4,2,8,7,1]=>0000000=>0000000 [3,2,7,5,8,1,6,4]=>0000000=>0000000 [3,6,5,8,2,7,4,1]=>0000000=>0000000 [2,7,1,8,5,6,4,3]=>0000000=>0000000 [4,3,6,8,5,2,1,7]=>0000000=>0000000 [4,3,6,8,5,2,7,1]=>0000000=>0000000 [4,5,3,2,1,8,6,7]=>0000100=>0010000 [3,6,5,8,1,7,4,2]=>0000000=>0000000 [3,6,5,8,1,2,7,4]=>0000000=>0000000 [4,1,6,8,5,2,3,7]=>0000000=>0000000 [4,5,2,8,6,7,3,1]=>0000000=>0000000 [3,5,8,6,2,4,7,1]=>0000000=>0000000 [3,2,4,5,8,6,1,7]=>0000000=>0000000 [3,4,5,8,6,2,1,7]=>0000000=>0000000 [3,4,5,8,6,2,7,1]=>0000000=>0000000 [4,5,2,1,3,8,6,7]=>0000100=>0010000 [4,2,3,6,8,5,1,7]=>0000000=>0000000 [4,1,3,6,8,5,2,7]=>0000000=>0000000 [3,1,4,5,8,6,2,7]=>0000000=>0000000 [4,5,1,3,2,8,6,7]=>0000100=>0010000 [3,4,5,8,6,1,7,2]=>0000000=>0000000 [3,4,5,8,6,1,2,7]=>0000000=>0000000 [8,2,5,4,1,3,7,6]=>0000000=>0000000 [8,2,6,4,1,3,7,5]=>0000000=>0000000 [1,5,8,2,4,3,7,6]=>1000000=>0000001 [2,4,8,3,5,7,1,6]=>0000000=>0000000 [1,4,8,5,7,2,3,6]=>1000000=>0000001 [1,8,7,3,2,4,5,6]=>1000000=>0000001 [2,8,4,3,5,7,1,6]=>0000000=>0000000 [5,6,2,7,8,3,1,4]=>0000000=>0000000 [8,6,2,7,3,4,1,5]=>0000000=>0000000 [8,6,2,7,3,4,5,1]=>0000000=>0000000 [5,6,2,7,8,3,4,1]=>0000000=>0000000 [5,6,3,2,8,7,1,4]=>0000000=>0000000 [6,8,5,3,1,7,2,4]=>0000000=>0000000 [8,6,1,7,3,4,2,5]=>0000000=>0000000 [5,1,6,7,8,3,2,4]=>0000000=>0000000 [1,5,6,3,7,2,4,8]=>1000001=>1000001 [6,2,4,8,3,7,1,5]=>0000000=>0000000 [1,6,8,7,5,2,3,4]=>1000000=>0000001 [1,5,6,7,4,2,3,8]=>1000001=>1000001 [5,1,6,7,3,4,2,8]=>0000001=>1000000 [8,6,1,7,3,4,5,2]=>0000000=>0000000 [6,1,8,7,4,5,2,3]=>0000000=>0000000 [2,6,8,4,7,5,1,3]=>0000000=>0000000 [6,8,5,1,7,4,2,3]=>0000000=>0000000 [4,6,5,7,2,3,8,1]=>0000000=>0000000 [5,3,7,4,6,2,8,1]=>0000000=>0000000 [3,6,7,2,5,8,4,1]=>0000000=>0000000 [3,5,7,6,8,2,1,4]=>0000000=>0000000 [5,3,6,7,4,8,1,2]=>0000000=>0000000 [3,5,7,6,8,1,4,2]=>0000000=>0000000 [4,2,7,8,3,6,5,1]=>0000000=>0000000 [5,4,3,7,8,1,6,2]=>0000000=>0000000 [5,3,6,7,8,2,1,4]=>0000000=>0000000 [3,5,7,8,4,2,1,6]=>0000000=>0000000 [4,6,7,8,2,1,3,5]=>0000000=>0000000 [4,6,7,3,2,8,1,5]=>0000000=>0000000 [4,6,5,3,7,8,1,2]=>0000000=>0000000 [4,6,5,2,7,8,3,1]=>0000000=>0000000 [3,7,5,2,8,6,1,4]=>0000000=>0000000 [5,6,2,4,7,8,3,1]=>0000000=>0000000 [5,4,6,2,8,3,7,1]=>0000000=>0000000 [5,6,3,2,8,4,7,1]=>0000000=>0000000 [5,6,2,8,3,4,7,1]=>0000000=>0000000 [3,7,4,8,1,6,5,2]=>0000000=>0000000 [5,2,6,4,8,7,3,1]=>0000000=>0000000 [2,4,7,8,6,5,1,3]=>0000000=>0000000 [2,5,7,8,6,1,4,3]=>0000000=>0000000 [1,3,6,4,8,2,7,5]=>1000000=>0000001 [2,4,5,3,8,7,1,6]=>0000000=>0000000 [8,6,3,7,2,4,1,5]=>0000000=>0000000 [1,8,5,6,4,2,3,7]=>1000000=>0000001 [1,7,6,2,3,5,8,4]=>1000000=>0000001 [8,1,6,5,2,7,4,3]=>0000000=>0000000 [2,7,1,5,3,8,6,4]=>0000000=>0000000 [7,3,2,1,4,8,6,5]=>0000000=>0000000 [8,3,7,2,6,5,1,4]=>0000000=>0000000 [7,5,8,2,6,1,4,3]=>0000000=>0000000 [8,5,1,3,2,4,6,7]=>0000000=>0000000 [3,8,5,1,2,4,6,7]=>0000000=>0000000 [5,1,3,2,4,6,8,7]=>0000110=>0110000 [5,3,8,1,4,2,6,7]=>0000000=>0000000 [5,8,4,1,2,3,6,7]=>0000000=>0000000 [5,1,7,8,4,2,3,6]=>0000000=>0000000 [1,5,7,8,2,4,3,6]=>1000000=>0000001 [3,5,8,1,4,2,7,6]=>0000000=>0000000 [2,8,5,7,1,4,3,6]=>0000000=>0000000 [4,8,7,5,1,2,3,6]=>0000000=>0000000 [8,6,4,1,2,3,7,5]=>0000000=>0000000 [8,1,2,4,6,3,7,5]=>0000000=>0000000 [6,3,8,4,1,7,2,5]=>0000000=>0000000 [7,6,1,4,2,3,8,5]=>0000000=>0000000 [1,7,5,2,3,4,8,6]=>1000000=>0000001 [7,8,1,2,5,3,4,6]=>0000000=>0000000 [1,8,7,5,2,3,4,6]=>1000000=>0000001 [7,1,4,8,2,3,6,5]=>0000000=>0000000 [1,8,4,7,5,2,3,6]=>1000000=>0000001 [7,3,4,1,8,6,2,5]=>0000000=>0000000 [8,4,7,2,1,6,3,5]=>0000000=>0000000 [3,4,7,8,6,1,2,5]=>0000000=>0000000 [7,6,1,8,2,5,4,3]=>0000000=>0000000 [5,8,4,2,1,6,3,7]=>0000000=>0000000 [7,6,4,1,2,5,3,8]=>0000001=>1000000 [4,8,6,5,1,3,7,2]=>0000000=>0000000 [1,7,5,4,8,6,2,3]=>1000000=>0000001 [1,6,3,7,2,4,8,5]=>1000000=>0000001 [8,7,2,4,1,5,3,6]=>0000000=>0000000 [5,2,4,1,8,3,6,7]=>0000000=>0000000 [4,3,1,6,7,2,5,8]=>0000001=>1000000 [6,3,1,5,7,2,4,8]=>0000001=>1000000 [4,5,2,1,3,7,6,8]=>0000101=>1010000 [2,7,6,4,5,1,8,3]=>0000000=>0000000 [2,8,4,6,3,1,5,7]=>0000000=>0000000 [2,8,3,1,6,7,4,5]=>0000000=>0000000 [4,8,5,7,1,2,3,6]=>0000000=>0000000 [7,4,8,3,6,2,1,5]=>0000000=>0000000 [1,5,7,4,8,6,2,3]=>1000000=>0000001 [4,8,7,5,2,3,1,6]=>0000000=>0000000 [1,2,7,8,6,4,3,5]=>1100000=>0000011 [3,5,1,7,8,6,2,4]=>0000000=>0000000 [1,8,6,7,4,2,3,5]=>1000000=>0000001 [1,5,4,7,3,8,6,2]=>1000000=>0000001 [2,5,6,4,1,3,8,7]=>0000010=>0100000 [7,2,3,1,6,8,4,5]=>0000000=>0000000 [5,7,8,1,6,2,3,4]=>0000000=>0000000 [1,6,3,8,2,7,4,5]=>1000000=>0000001 [1,4,2,5,8,6,3,7]=>1000000=>0000001 [4,8,2,1,5,7,3,6]=>0000000=>0000000 [5,2,7,1,6,3,4,8]=>0000001=>1000000 [4,8,2,5,1,6,3,7]=>0000000=>0000000 [5,8,1,2,4,6,3,7]=>0000000=>0000000 [5,1,7,3,6,4,2,8]=>0000001=>1000000 [3,1,7,5,6,2,4,8]=>0000001=>1000000 [3,2,7,5,6,1,4,8]=>0000001=>1000000 [3,2,7,1,6,4,5,8]=>0000001=>1000000 [6,3,1,7,5,4,2,8]=>0000001=>1000000 [5,8,3,2,4,1,7,6]=>0000000=>0000000 [2,7,5,6,8,3,1,4]=>0000000=>0000000 [1,7,8,6,3,4,2,5]=>1000000=>0000001 [7,3,2,1,4,6,8,5]=>0000000=>0000000 [7,8,5,3,2,1,6,4]=>0000000=>0000000 [1,4,7,2,5,3,6,8]=>1000001=>1000001 [4,5,1,3,8,2,6,7]=>0000000=>0000000 [4,1,5,3,2,7,6,8]=>0000101=>1010000 [7,3,5,1,4,2,6,8]=>0000001=>1000000 [7,5,2,4,1,3,8,6]=>0000000=>0000000 [6,2,1,7,4,3,8,5]=>0000000=>0000000 [2,4,3,6,7,1,5,8]=>0000001=>1000000 [3,1,7,4,2,6,8,5]=>0000000=>0000000 [7,3,5,2,1,6,4,8]=>0000001=>1000000 [4,6,5,2,1,3,7,8]=>0000011=>1100000 [1,4,7,2,5,6,3,8]=>1000001=>1000001 [7,2,5,6,1,3,8,4]=>0000000=>0000000 [2,5,6,1,4,3,7,8]=>0000011=>1100000 [6,1,5,3,7,2,4,8]=>0000001=>1000000 [3,6,5,4,1,7,2,8]=>0000001=>1000000 [6,8,5,7,2,1,4,3]=>0000000=>0000000 [1,4,2,6,7,8,5,3]=>1000000=>0000001 [5,6,4,2,1,8,3,7]=>0000000=>0000000 [4,1,2,6,7,8,5,3]=>0000000=>0000000 [5,6,2,7,8,1,3,4]=>0000000=>0000000 [3,7,8,2,1,4,5,6]=>0000000=>0000000 [5,1,4,7,8,3,6,2]=>0000000=>0000000 [5,6,4,1,7,3,8,2]=>0000000=>0000000 [2,7,1,6,5,8,3,4]=>0000000=>0000000 [4,6,1,7,3,2,8,5]=>0000000=>0000000 [1,7,3,6,4,2,8,5]=>1000000=>0000001 [1,3,7,6,2,4,8,5]=>1000000=>0000001 [4,7,3,5,1,2,8,6]=>0000000=>0000000 [2,5,1,8,3,7,4,6]=>0000000=>0000000 [5,1,2,4,3,6,8,7]=>0000110=>0110000 [4,8,3,5,2,1,6,7]=>0000000=>0000000 [3,8,4,1,7,5,2,6]=>0000000=>0000000 [4,7,3,2,6,5,1,8]=>0000001=>1000000 [4,7,5,2,3,6,1,8]=>0000001=>1000000 [4,3,7,8,2,1,6,5]=>0000000=>0000000 [4,8,7,2,1,5,6,3]=>0000000=>0000000 [7,3,8,2,5,1,6,4]=>0000000=>0000000 [4,5,3,8,2,1,7,6]=>0000000=>0000000 [4,5,3,8,6,1,2,7]=>0000000=>0000000 [7,3,8,4,5,1,2,6]=>0000000=>0000000 [4,8,7,5,1,3,2,6]=>0000000=>0000000 [4,8,7,5,1,2,6,3]=>0000000=>0000000 [7,8,4,6,1,3,5,2]=>0000000=>0000000 [4,8,7,5,1,3,6,2]=>0000000=>0000000 [4,5,3,6,8,1,2,7]=>0000000=>0000000 [7,8,6,2,1,4,3,5]=>0000000=>0000000 [4,7,5,8,2,1,3,6]=>0000000=>0000000 [4,8,5,7,1,3,2,6]=>0000000=>0000000 [7,8,6,3,1,2,5,4]=>0000000=>0000000 [5,3,1,2,4,6,8,7]=>0000110=>0110000 [6,1,5,2,8,7,4,3]=>0000000=>0000000 [3,2,6,1,5,8,7,4]=>0000000=>0000000 [4,5,2,1,6,7,8,3]=>0000000=>0000000 [1,4,7,2,6,5,8,3]=>1000000=>0000001 [1,7,6,2,8,5,4,3]=>1000000=>0000001 [1,2,7,8,3,4,6,5]=>1100000=>0000011 [2,8,4,3,1,6,5,7]=>0000000=>0000000 [2,4,3,8,6,5,1,7]=>0000000=>0000000 [2,8,6,4,3,1,7,5]=>0000000=>0000000 [7,4,5,8,1,3,6,2]=>0000000=>0000000 [4,2,5,7,1,6,8,3]=>0000000=>0000000 [4,5,3,7,1,6,8,2]=>0000000=>0000000 [6,8,4,1,5,7,3,2]=>0000000=>0000000 [6,8,4,1,5,7,2,3]=>0000000=>0000000 [5,2,6,7,4,1,8,3]=>0000000=>0000000 [5,6,7,4,3,1,8,2]=>0000000=>0000000 [8,5,6,4,1,7,3,2]=>0000000=>0000000 [5,8,2,6,1,7,4,3]=>0000000=>0000000 [7,8,3,1,6,4,5,2]=>0000000=>0000000 [5,8,2,6,3,1,7,4]=>0000000=>0000000 [4,5,8,1,6,3,7,2]=>0000000=>0000000 [8,1,4,6,2,5,7,3]=>0000000=>0000000 [4,8,1,3,6,2,7,5]=>0000000=>0000000 [4,5,8,1,6,2,7,3]=>0000000=>0000000 [5,2,6,8,1,4,3,7]=>0000000=>0000000 [6,2,7,3,8,1,4,5]=>0000000=>0000000 [6,7,3,8,2,1,4,5]=>0000000=>0000000 [6,2,7,8,3,1,4,5]=>0000000=>0000000 [8,7,3,1,2,5,6,4]=>0000000=>0000000 [2,8,3,6,4,1,7,5]=>0000000=>0000000 [6,1,3,7,2,8,5,4]=>0000000=>0000000 [5,4,3,6,1,7,8,2]=>0000000=>0000000 [4,8,3,2,1,7,5,6]=>0000000=>0000000 [1,3,7,8,4,6,2,5]=>1000000=>0000001 [5,8,4,3,7,1,2,6]=>0000000=>0000000 [5,6,4,8,7,2,1,3]=>0000000=>0000000 [4,1,7,8,6,5,2,3]=>0000000=>0000000 [2,1,8,7,3,5,4,6]=>0100000=>0000010 [1,7,6,2,3,8,5,4]=>1000000=>0000001 [1,8,5,3,2,7,4,6]=>1000000=>0000001 [4,5,1,3,7,6,2,8]=>0000001=>1000000 [7,2,3,8,6,4,5,1]=>0000000=>0000000 [3,5,8,1,7,4,2,6]=>0000000=>0000000 [5,8,1,2,7,6,4,3]=>0000000=>0000000 [8,7,1,3,2,6,4,5]=>0000000=>0000000 [8,1,6,3,7,5,4,2]=>0000000=>0000000 [8,5,1,3,7,6,4,2]=>0000000=>0000000 [1,6,4,7,3,8,5,2]=>1000000=>0000001 [2,8,1,5,6,4,3,7]=>0000000=>0000000 [1,2,6,8,3,4,7,5]=>1100000=>0000011 [1,6,7,5,8,4,2,3]=>1000000=>0000001 [5,3,8,2,7,6,1,4]=>0000000=>0000000 [7,4,2,8,6,5,3,1]=>0000000=>0000000 [5,8,2,7,6,1,4,3]=>0000000=>0000000 [7,4,8,3,1,6,5,2]=>0000000=>0000000 [5,8,7,2,6,4,3,1]=>0000000=>0000000 [6,8,7,5,2,1,4,3]=>0000000=>0000000 [6,8,7,3,5,1,4,2]=>0000000=>0000000 [7,2,5,4,1,3,8,6]=>0000000=>0000000 [1,5,7,2,4,3,8,6]=>1000000=>0000001 [1,2,7,5,8,4,3,6]=>1100000=>0000011 [5,1,3,8,2,7,4,6]=>0000000=>0000000 [5,7,1,3,2,8,4,6]=>0000000=>0000000 [7,1,6,3,2,8,4,5]=>0000000=>0000000 [8,1,7,2,3,6,5,4]=>0000000=>0000000 [1,7,2,5,8,4,3,6]=>1000000=>0000001 [7,1,2,6,4,3,8,5]=>0000000=>0000000 [1,4,7,8,3,2,5,6]=>1000000=>0000001 [8,7,1,3,2,4,6,5]=>0000000=>0000000 [8,1,6,3,2,4,7,5]=>0000000=>0000000 [1,8,2,7,6,3,5,4]=>1000000=>0000001 [1,8,6,2,7,4,3,5]=>1000000=>0000001 [8,1,6,3,2,7,4,5]=>0000000=>0000000 [8,2,1,7,6,3,4,5]=>0000000=>0000000 [6,4,5,3,1,8,7,2]=>0000000=>0000000 [1,8,2,3,5,6,4,7]=>1000000=>0000001 [2,8,1,3,5,6,4,7]=>0000000=>0000000 [2,5,7,4,8,3,6,1]=>0000000=>0000000 [2,6,3,4,7,8,5,1]=>0000000=>0000000 [2,3,5,4,7,1,8,6]=>0000000=>0000000 [7,4,1,3,6,8,5,2]=>0000000=>0000000 [7,2,1,3,6,8,4,5]=>0000000=>0000000 [7,4,2,3,6,8,5,1]=>0000000=>0000000 [7,2,3,6,8,5,4,1]=>0000000=>0000000 [7,6,3,1,8,5,2,4]=>0000000=>0000000 [7,2,1,3,6,8,5,4]=>0000000=>0000000 [7,6,3,8,1,5,2,4]=>0000000=>0000000 [1,6,4,7,8,5,3,2]=>1000000=>0000001 [7,2,5,1,6,4,3,8]=>0000001=>1000000 [1,2,4,6,8,5,7,3]=>1100000=>0000011 [2,6,3,7,4,1,8,5]=>0000000=>0000000 [3,8,5,1,2,4,7,6]=>0000000=>0000000 [1,8,3,7,5,2,6,4]=>1000000=>0000001 [8,1,3,6,5,2,7,4]=>0000000=>0000000 [7,1,3,8,5,2,6,4]=>0000000=>0000000 [4,7,1,5,2,6,8,3]=>0000000=>0000000 [7,4,1,5,2,6,8,3]=>0000000=>0000000 [3,1,6,7,5,2,8,4]=>0000000=>0000000 [8,6,2,4,5,1,7,3]=>0000000=>0000000 [4,6,2,5,3,1,7,8]=>0000011=>1100000 [7,1,4,5,2,6,8,3]=>0000000=>0000000 [5,7,6,8,2,1,4,3]=>0000000=>0000000 [4,5,1,3,6,7,8,2]=>0000000=>0000000 [6,4,7,1,5,2,8,3]=>0000000=>0000000 [3,5,6,2,1,7,8,4]=>0000000=>0000000 [4,5,1,6,2,8,7,3]=>0000000=>0000000 [3,2,5,8,6,1,7,4]=>0000000=>0000000 [5,6,3,2,7,4,1,8]=>0000001=>1000000 [5,2,6,7,4,3,1,8]=>0000001=>1000000 [8,5,1,6,4,3,2,7]=>0000000=>0000000 [8,5,1,6,4,3,7,2]=>0000000=>0000000 [8,5,2,1,6,4,3,7]=>0000000=>0000000 [8,6,3,5,2,7,1,4]=>0000000=>0000000 [8,4,6,2,1,5,7,3]=>0000000=>0000000 [5,6,2,1,8,4,7,3]=>0000000=>0000000 [8,5,2,1,6,4,7,3]=>0000000=>0000000 [1,7,2,8,5,4,6,3]=>1000000=>0000001 [6,7,1,4,8,5,3,2]=>0000000=>0000000 [7,4,8,2,1,5,6,3]=>0000000=>0000000 [7,3,2,8,5,1,4,6]=>0000000=>0000000 [6,7,1,4,3,2,8,5]=>0000000=>0000000 [4,1,7,3,2,8,5,6]=>0000000=>0000000 [8,3,5,2,4,7,1,6]=>0000000=>0000000 [4,3,7,8,6,1,5,2]=>0000000=>0000000 [6,2,8,4,3,7,1,5]=>0000000=>0000000 [1,2,6,3,7,8,5,4]=>1100000=>0000011 [6,1,3,2,7,8,5,4]=>0000000=>0000000 [6,7,1,3,2,8,5,4]=>0000000=>0000000 [2,6,4,7,5,3,1,8]=>0000001=>1000000 [5,6,1,8,7,2,3,4]=>0000000=>0000000 [1,4,7,5,2,3,6,8]=>1000001=>1000001 [1,5,8,6,2,3,4,7]=>1000000=>0000001 [5,8,4,3,6,2,7,1]=>0000000=>0000000 [4,6,5,8,3,2,7,1]=>0000000=>0000000 [3,4,7,5,6,8,2,1]=>0000000=>0000000 [3,4,7,8,5,2,6,1]=>0000000=>0000000 [2,3,8,4,7,1,6,5]=>0000000=>0000000 [1,8,7,5,2,6,3,4]=>1000000=>0000001 [1,8,7,5,4,3,2,6]=>1000000=>0000001 [1,7,6,3,4,5,8,2]=>1000000=>0000001 [1,8,7,4,5,6,2,3]=>1000000=>0000001 [1,8,7,3,6,4,2,5]=>1000000=>0000001 [1,8,7,2,4,6,3,5]=>1000000=>0000001 [1,4,7,8,6,2,5,3]=>1000000=>0000001 [1,7,6,4,2,5,3,8]=>1000001=>1000001 [1,4,7,5,8,2,3,6]=>1000000=>0000001 [1,4,7,5,8,2,6,3]=>1000000=>0000001 [1,6,8,3,4,2,5,7]=>1000000=>0000001 [1,4,7,2,3,6,5,8]=>1000001=>1000001 [1,3,2,6,8,4,7,5]=>1010000=>0000101 [1,7,2,5,6,3,4,8]=>1000001=>1000001 [1,5,8,3,6,4,7,2]=>1000000=>0000001 [1,2,6,5,8,3,4,7]=>1100000=>0000011 [1,6,8,2,7,3,4,5]=>1000000=>0000001 [1,4,5,8,2,6,3,7]=>1000000=>0000001 [3,5,6,7,2,4,1,8]=>0000001=>1000000 [6,4,7,5,2,3,1,8]=>0000001=>1000000 [1,5,6,4,8,3,2,7]=>1000000=>0000001 [5,2,6,4,8,7,1,3]=>0000000=>0000000 [2,1,5,6,4,8,3,7]=>0100000=>0000010 [5,1,4,7,8,6,2,3]=>0000000=>0000000 [2,5,7,1,8,6,3,4]=>0000000=>0000000 [1,6,7,2,8,5,4,3]=>1000000=>0000001 [4,6,1,7,8,5,3,2]=>0000000=>0000000 [5,3,2,1,7,8,6,4]=>0000000=>0000000 [7,4,3,8,6,1,5,2]=>0000000=>0000000 [4,3,7,1,5,8,6,2]=>0000000=>0000000 [8,2,4,5,3,1,7,6]=>0000000=>0000000 [8,5,3,2,4,1,7,6]=>0000000=>0000000 [1,4,3,2,7,5,8,6]=>1001000=>0001001 [7,2,5,3,4,6,1,8]=>0000001=>1000000 [7,1,2,6,4,3,5,8]=>0000001=>1000000 [7,1,2,6,3,4,5,8]=>0000001=>1000000 [7,1,2,6,4,5,3,8]=>0000001=>1000000 [7,1,2,6,5,3,4,8]=>0000001=>1000000 [5,3,1,4,7,2,8,6]=>0000000=>0000000 [7,1,3,8,2,6,4,5]=>0000000=>0000000 [1,8,3,7,2,4,6,5]=>1000000=>0000001 [7,4,3,1,6,5,2,8]=>0000001=>1000000 [3,5,1,2,6,8,7,4]=>0000000=>0000000 [1,5,2,4,3,8,7,6]=>1000100=>0010001 [3,1,2,4,8,7,5,6]=>0011000=>0001100 [5,2,1,6,3,8,7,4]=>0000000=>0000000 [3,4,6,7,2,1,5,8]=>0000001=>1000000 [2,5,7,4,6,8,1,3]=>0000000=>0000000 [4,6,2,7,5,8,1,3]=>0000000=>0000000 [4,7,2,5,3,8,1,6]=>0000000=>0000000 [2,4,7,6,3,8,1,5]=>0000000=>0000000 [5,8,3,6,4,1,7,2]=>0000000=>0000000 [4,6,8,5,1,2,3,7]=>0000000=>0000000 [4,6,5,7,1,2,3,8]=>0000001=>1000000 [4,6,5,7,1,3,8,2]=>0000000=>0000000 [3,4,7,6,1,8,2,5]=>0000000=>0000000 [1,6,5,7,3,8,2,4]=>1000000=>0000001 [8,6,2,7,5,3,1,4]=>0000000=>0000000 [4,3,7,1,2,8,5,6]=>0000000=>0000000 [2,6,7,1,4,3,8,5]=>0000000=>0000000 [4,5,2,1,6,3,8,7]=>0000010=>0100000 [4,5,2,1,6,7,3,8]=>0000001=>1000000 [5,3,8,6,2,4,7,1]=>0000000=>0000000 [2,5,1,6,4,3,8,7]=>0000010=>0100000 [3,6,2,8,5,7,1,4]=>0000000=>0000000 [4,6,8,1,5,7,2,3]=>0000000=>0000000 [4,1,2,5,7,6,3,8]=>0000001=>1000000 [5,2,3,8,7,1,6,4]=>0000000=>0000000 [3,2,8,1,7,5,4,6]=>0000000=>0000000 [4,8,5,1,3,7,2,6]=>0000000=>0000000 [4,6,5,8,1,7,3,2]=>0000000=>0000000 [2,1,3,6,4,8,7,5]=>0110000=>0000110 [4,8,2,1,6,7,5,3]=>0000000=>0000000 [4,8,1,2,7,5,6,3]=>0000000=>0000000 [5,2,8,1,7,4,6,3]=>0000000=>0000000 [5,7,4,8,1,2,6,3]=>0000000=>0000000 [8,1,6,7,3,4,2,5]=>0000000=>0000000 [4,5,1,6,8,7,2,3]=>0000000=>0000000 [3,4,7,2,5,8,6,1]=>0000000=>0000000 [3,4,7,1,5,8,2,6]=>0000000=>0000000 [6,2,7,4,5,3,1,8]=>0000001=>1000000 [8,6,4,7,5,1,3,2]=>0000000=>0000000 [5,1,4,8,2,3,7,6]=>0000000=>0000000 [4,5,2,3,8,6,1,7]=>0000000=>0000000 [4,5,1,3,2,6,8,7]=>0000110=>0110000 [4,7,1,8,5,3,6,2]=>0000000=>0000000 [6,4,7,5,1,3,2,8]=>0000001=>1000000 [6,7,2,4,1,8,3,5]=>0000000=>0000000 [5,1,6,3,2,7,8,4]=>0000000=>0000000 [2,3,7,8,5,4,6,1]=>0000000=>0000000 [7,4,5,1,2,6,8,3]=>0000000=>0000000 [6,7,8,2,1,5,3,4]=>0000000=>0000000 [5,2,1,6,4,7,3,8]=>0000001=>1000000 [6,7,2,5,4,1,3,8]=>0000001=>1000000 [7,4,8,6,3,5,1,2]=>0000000=>0000000 [4,6,3,5,1,8,2,7]=>0000000=>0000000 [8,5,7,6,2,3,4,1]=>0000000=>0000000 [2,4,7,5,8,6,3,1]=>0000000=>0000000 [1,4,6,5,3,8,2,7]=>1000000=>0000001 [2,4,5,8,7,1,3,6]=>0000000=>0000000 [3,1,6,8,7,5,4,2]=>0000000=>0000000 [3,1,8,7,5,6,4,2]=>0000000=>0000000 [5,1,8,7,6,3,4,2]=>0000000=>0000000 [1,3,8,4,7,2,6,5]=>1000000=>0000001 [1,8,2,4,7,3,6,5]=>1000000=>0000001 [8,2,7,5,3,6,4,1]=>0000000=>0000000 [8,4,1,3,6,7,2,5]=>0000000=>0000000 [8,7,2,3,1,5,6,4]=>0000000=>0000000 [1,2,8,6,7,5,4,3]=>1100000=>0000011 [2,8,5,7,6,1,3,4]=>0000000=>0000000 [1,8,7,2,6,4,5,3]=>1000000=>0000001 [8,7,2,1,6,4,5,3]=>0000000=>0000000 [8,7,2,4,3,6,5,1]=>0000000=>0000000 [4,2,8,7,3,6,5,1]=>0000000=>0000000 [8,7,1,6,4,3,5,2]=>0000000=>0000000 [8,4,1,7,3,6,5,2]=>0000000=>0000000 [4,5,1,8,7,3,6,2]=>0000000=>0000000 [4,3,8,5,2,6,1,7]=>0000000=>0000000 [5,7,4,1,2,6,8,3]=>0000000=>0000000 [2,8,6,7,5,3,1,4]=>0000000=>0000000 [5,2,6,3,7,8,4,1]=>0000000=>0000000 [3,6,2,5,7,8,4,1]=>0000000=>0000000 [2,7,4,6,8,3,5,1]=>0000000=>0000000 [2,7,3,6,8,5,4,1]=>0000000=>0000000 [3,7,6,8,1,5,4,2]=>0000000=>0000000 [4,7,6,8,2,3,5,1]=>0000000=>0000000 [3,7,5,6,8,2,4,1]=>0000000=>0000000 [3,7,2,6,8,4,5,1]=>0000000=>0000000 [1,5,7,6,8,4,2,3]=>1000000=>0000001 [2,7,5,6,8,4,3,1]=>0000000=>0000000 [3,7,6,8,5,1,4,2]=>0000000=>0000000 [7,1,3,8,6,2,4,5]=>0000000=>0000000 [2,7,1,8,6,5,3,4]=>0000000=>0000000 [5,3,4,7,6,2,1,8]=>0000001=>1000000 [7,1,4,6,8,5,3,2]=>0000000=>0000000 [7,2,5,1,6,4,8,3]=>0000000=>0000000 [2,7,1,5,6,4,8,3]=>0000000=>0000000 [1,5,7,8,4,6,3,2]=>1000000=>0000001 [1,4,8,5,7,6,3,2]=>1000000=>0000001 [2,8,1,5,6,4,7,3]=>0000000=>0000000 [8,2,1,5,6,4,7,3]=>0000000=>0000000 [2,8,5,1,6,4,3,7]=>0000000=>0000000 [3,7,2,8,1,5,6,4]=>0000000=>0000000 [7,3,2,5,1,6,8,4]=>0000000=>0000000 [8,7,2,1,3,6,5,4]=>0000000=>0000000 [7,3,2,8,1,4,6,5]=>0000000=>0000000 [2,7,8,1,5,4,3,6]=>0000000=>0000000 [3,6,2,1,8,4,7,5]=>0000000=>0000000 [3,8,6,1,5,7,4,2]=>0000000=>0000000 [6,4,2,3,7,8,1,5]=>0000000=>0000000 [5,4,3,1,7,2,8,6]=>0000000=>0000000 [5,3,1,6,4,7,2,8]=>0000001=>1000000 [6,5,2,4,1,7,8,3]=>0000000=>0000000 [4,3,6,2,5,8,1,7]=>0000000=>0000000 [1,6,2,7,8,4,5,3]=>1000000=>0000001 [8,5,2,4,1,3,7,6]=>0000000=>0000000 [6,3,2,8,4,5,1,7]=>0000000=>0000000 [5,4,7,2,1,3,8,6]=>0000000=>0000000 [4,1,7,6,5,2,8,3]=>0000000=>0000000 [6,4,7,1,2,3,8,5]=>0000000=>0000000 [8,2,3,1,6,4,7,5]=>0000000=>0000000 [3,1,8,5,7,2,6,4]=>0000000=>0000000 [5,6,4,2,1,7,3,8]=>0000001=>1000000 [6,5,7,1,2,8,3,4]=>0000000=>0000000 [6,4,7,1,2,5,3,8]=>0000001=>1000000 [1,2,4,8,5,7,3,6]=>1100000=>0000011 [1,2,7,5,8,6,3,4]=>1100000=>0000011 [7,4,5,1,6,8,2,3]=>0000000=>0000000 [1,7,8,4,2,6,3,5]=>1000000=>0000001 [6,3,2,5,7,4,1,8]=>0000001=>1000000 [6,4,7,5,3,8,1,2]=>0000000=>0000000 [6,2,1,5,3,7,8,4]=>0000000=>0000000 [4,1,7,8,3,6,5,2]=>0000000=>0000000 [6,3,2,4,8,5,1,7]=>0000000=>0000000 [6,4,2,1,7,3,5,8]=>0000001=>1000000 [5,7,4,2,1,6,3,8]=>0000001=>1000000 [5,8,4,2,1,3,6,7]=>0000000=>0000000 [8,3,2,6,5,1,7,4]=>0000000=>0000000 [1,8,5,6,4,3,7,2]=>1000000=>0000001 [1,7,5,8,4,6,3,2]=>1000000=>0000001 [8,3,5,6,1,7,2,4]=>0000000=>0000000 [1,5,3,7,8,4,6,2]=>1000000=>0000001 [1,4,7,3,5,8,6,2]=>1000000=>0000001 [1,6,3,7,8,5,4,2]=>1000000=>0000001 [8,5,6,1,7,4,2,3]=>0000000=>0000000 [8,6,1,4,3,7,2,5]=>0000000=>0000000 [3,7,8,2,5,1,6,4]=>0000000=>0000000 [8,1,3,5,6,4,2,7]=>0000000=>0000000 [8,6,1,4,3,2,7,5]=>0000000=>0000000 [7,3,8,2,4,1,5,6]=>0000000=>0000000 [6,3,7,8,1,2,5,4]=>0000000=>0000000 [7,5,8,1,2,3,6,4]=>0000000=>0000000 [8,6,1,5,3,7,2,4]=>0000000=>0000000 [8,1,7,5,6,4,2,3]=>0000000=>0000000 [8,1,4,7,6,5,2,3]=>0000000=>0000000 [6,1,4,8,2,7,5,3]=>0000000=>0000000 [8,6,4,2,7,3,5,1]=>0000000=>0000000 [6,8,7,5,2,1,3,4]=>0000000=>0000000 [7,6,1,5,2,3,8,4]=>0000000=>0000000 [5,1,8,6,7,2,3,4]=>0000000=>0000000 [5,7,1,6,8,2,3,4]=>0000000=>0000000 [5,1,7,6,8,2,3,4]=>0000000=>0000000 [6,1,5,7,2,8,3,4]=>0000000=>0000000 [6,8,4,2,1,7,3,5]=>0000000=>0000000 [5,8,6,1,7,2,3,4]=>0000000=>0000000 [6,3,2,8,1,7,4,5]=>0000000=>0000000 [1,4,7,8,3,5,2,6]=>1000000=>0000001 [2,5,6,8,1,4,7,3]=>0000000=>0000000 [8,4,5,1,6,7,2,3]=>0000000=>0000000 [7,3,6,1,4,2,8,5]=>0000000=>0000000 [7,4,1,6,5,2,3,8]=>0000001=>1000000 [4,1,6,5,2,3,8,7]=>0000010=>0100000 [4,5,1,7,8,6,2,3]=>0000000=>0000000 [8,3,1,4,6,2,7,5]=>0000000=>0000000 [2,5,3,4,6,8,1,7]=>0000000=>0000000 [8,3,6,1,5,2,4,7]=>0000000=>0000000 [4,7,1,2,5,6,3,8]=>0000001=>1000000 [6,7,3,1,8,2,4,5]=>0000000=>0000000 [7,3,1,4,6,2,8,5]=>0000000=>0000000 [7,4,1,2,5,6,3,8]=>0000001=>1000000 [4,5,1,3,6,8,7,2]=>0000000=>0000000 [8,4,1,2,5,7,3,6]=>0000000=>0000000 [8,4,1,3,6,7,5,2]=>0000000=>0000000 [5,4,1,6,3,7,8,2]=>0000000=>0000000 [6,7,3,1,5,2,4,8]=>0000001=>1000000 [5,4,1,3,6,8,7,2]=>0000000=>0000000 [6,4,1,2,5,8,3,7]=>0000000=>0000000 [5,7,4,8,1,6,3,2]=>0000000=>0000000 [7,5,3,6,4,2,1,8]=>0000001=>1000000 [4,3,1,2,6,5,7,8]=>0001011=>1101000 [4,3,1,2,5,7,6,8]=>0001101=>1011000 [4,7,3,1,5,2,8,6]=>0000000=>0000000 [6,5,1,2,7,4,8,3]=>0000000=>0000000 [5,3,8,1,4,2,7,6]=>0000000=>0000000 [6,5,3,4,1,8,2,7]=>0000000=>0000000 [3,1,8,4,2,7,6,5]=>0000000=>0000000 [2,8,7,4,1,3,6,5]=>0000000=>0000000 [8,2,3,1,7,6,4,5]=>0000000=>0000000 [5,2,4,1,6,8,3,7]=>0000000=>0000000 [8,7,2,3,1,6,4,5]=>0000000=>0000000 [6,2,3,1,7,8,4,5]=>0000000=>0000000 [7,2,5,8,3,1,4,6]=>0000000=>0000000 [6,8,2,3,1,7,4,5]=>0000000=>0000000 [8,2,5,7,3,1,4,6]=>0000000=>0000000 [2,5,8,7,3,1,4,6]=>0000000=>0000000 [2,8,7,3,1,4,5,6]=>0000000=>0000000 [8,2,3,1,6,7,4,5]=>0000000=>0000000 [2,8,4,1,3,6,7,5]=>0000000=>0000000 [2,7,3,1,4,5,8,6]=>0000000=>0000000 [7,2,8,3,1,4,5,6]=>0000000=>0000000 [2,7,8,3,1,4,5,6]=>0000000=>0000000 [5,3,2,8,7,1,6,4]=>0000000=>0000000 [6,8,7,2,1,5,4,3]=>0000000=>0000000 [4,8,5,3,6,1,7,2]=>0000000=>0000000 [6,3,1,5,4,8,2,7]=>0000000=>0000000 [8,4,2,6,5,7,3,1]=>0000000=>0000000 [4,7,6,3,5,2,8,1]=>0000000=>0000000 [1,7,5,3,4,8,6,2]=>1000000=>0000001 [4,8,6,2,5,7,3,1]=>0000000=>0000000 [8,7,3,2,6,4,5,1]=>0000000=>0000000 [8,3,1,4,7,5,2,6]=>0000000=>0000000 [5,3,1,6,4,8,7,2]=>0000000=>0000000 [3,4,8,5,7,2,6,1]=>0000000=>0000000 [4,1,7,8,3,2,5,6]=>0000000=>0000000 [8,5,1,2,7,6,4,3]=>0000000=>0000000 [4,6,5,3,1,8,7,2]=>0000000=>0000000 [6,4,7,2,5,3,1,8]=>0000001=>1000000 [4,3,6,1,2,7,8,5]=>0000000=>0000000 [2,7,4,6,3,8,1,5]=>0000000=>0000000 [7,3,5,6,4,1,8,2]=>0000000=>0000000 [5,7,6,3,4,2,1,8]=>0000001=>1000000 [3,7,5,6,4,2,1,8]=>0000001=>1000000 [5,7,3,6,4,2,1,8]=>0000001=>1000000 [5,7,3,6,4,1,8,2]=>0000000=>0000000 [3,7,5,6,4,1,8,2]=>0000000=>0000000 [5,7,6,3,4,1,8,2]=>0000000=>0000000 [3,2,7,5,6,1,8,4]=>0000000=>0000000 [5,3,4,7,6,1,8,2]=>0000000=>0000000 [5,3,4,2,7,1,8,6]=>0000000=>0000000 [3,5,4,1,7,8,6,2]=>0000000=>0000000 [3,1,2,7,5,8,4,6]=>0010000=>0000100 [8,4,1,5,6,2,7,3]=>0000000=>0000000 [1,8,5,3,2,4,6,7]=>1000000=>0000001 [4,8,5,1,2,3,6,7]=>0000000=>0000000 [3,5,1,4,2,6,8,7]=>0000110=>0110000 [4,8,7,1,2,5,3,6]=>0000000=>0000000 [8,7,2,6,1,4,3,5]=>0000000=>0000000 [1,7,6,8,4,2,3,5]=>1000000=>0000001 [1,7,4,8,2,5,3,6]=>1000000=>0000001 [6,1,7,3,8,2,4,5]=>0000000=>0000000 [1,5,8,2,3,4,7,6]=>1000000=>0000001 [8,4,2,7,1,3,6,5]=>0000000=>0000000 [7,1,8,6,4,2,3,5]=>0000000=>0000000 [1,7,8,6,4,2,3,5]=>1000000=>0000001 [5,1,7,3,2,6,8,4]=>0000000=>0000000 [8,7,5,3,2,6,4,1]=>0000000=>0000000 [4,5,2,3,8,7,1,6]=>0000000=>0000000 [4,6,7,5,2,3,1,8]=>0000001=>1000000 [6,5,2,3,1,8,7,4]=>0000000=>0000000 [6,2,5,3,1,8,7,4]=>0000000=>0000000 [6,2,5,3,8,7,1,4]=>0000000=>0000000 [6,4,5,3,8,7,1,2]=>0000000=>0000000 [1,6,4,5,8,7,3,2]=>1000000=>0000001 [8,4,7,5,2,3,1,6]=>0000000=>0000000 [8,2,7,4,5,3,1,6]=>0000000=>0000000 [6,2,4,7,5,3,1,8]=>0000001=>1000000 [8,2,4,7,5,3,1,6]=>0000000=>0000000 [8,2,6,7,5,3,1,4]=>0000000=>0000000 [8,4,6,7,5,3,1,2]=>0000000=>0000000 [6,4,5,8,7,3,1,2]=>0000000=>0000000 [6,2,8,7,5,3,1,4]=>0000000=>0000000 [2,4,8,7,5,3,1,6]=>0000000=>0000000 [4,6,8,7,5,3,1,2]=>0000000=>0000000 [4,6,5,3,8,7,1,2]=>0000000=>0000000 [2,6,5,8,7,3,1,4]=>0000000=>0000000 [6,7,2,4,5,3,1,8]=>0000001=>1000000 [4,5,8,7,2,3,1,6]=>0000000=>0000000 [4,8,7,2,5,3,1,6]=>0000000=>0000000 [6,8,7,4,5,3,1,2]=>0000000=>0000000 [2,8,4,7,5,3,1,6]=>0000000=>0000000 [4,8,2,7,5,3,1,6]=>0000000=>0000000 [6,8,2,7,5,3,1,4]=>0000000=>0000000 [7,4,3,8,1,6,5,2]=>0000000=>0000000 [3,7,4,6,2,1,8,5]=>0000000=>0000000 [2,6,5,7,8,3,1,4]=>0000000=>0000000 [3,4,8,6,2,1,7,5]=>0000000=>0000000 [1,6,2,3,8,5,7,4]=>1000000=>0000001 [1,2,7,3,8,5,6,4]=>1100000=>0000011 [2,3,6,5,8,4,7,1]=>0000000=>0000000 [3,4,2,6,8,5,7,1]=>0000000=>0000000 [2,4,7,3,8,5,1,6]=>0000000=>0000000 [1,2,8,3,5,4,7,6]=>1100000=>0000011 [1,3,6,7,4,5,8,2]=>1000000=>0000001 [7,4,1,3,6,8,2,5]=>0000000=>0000000 [5,1,7,3,4,6,8,2]=>0000000=>0000000 [6,1,7,3,5,8,2,4]=>0000000=>0000000 [6,8,1,2,7,3,4,5]=>0000000=>0000000 [5,6,2,1,8,3,4,7]=>0000000=>0000000 [6,4,1,3,7,8,2,5]=>0000000=>0000000 [1,6,2,8,7,3,4,5]=>1000000=>0000001 [5,2,8,4,7,1,3,6]=>0000000=>0000000 [3,8,7,2,6,1,4,5]=>0000000=>0000000 [2,5,1,8,3,6,4,7]=>0000000=>0000000 [2,3,8,1,4,6,5,7]=>0000000=>0000000 [1,3,8,2,5,4,7,6]=>1000000=>0000001 [3,1,8,4,6,2,5,7]=>0000000=>0000000 [6,3,2,4,8,7,1,5]=>0000000=>0000000 [1,4,8,6,2,3,5,7]=>1000000=>0000001 [3,1,8,4,5,6,2,7]=>0000000=>0000000 [4,5,8,3,6,1,7,2]=>0000000=>0000000 [3,5,4,8,6,1,7,2]=>0000000=>0000000 [4,2,7,8,6,3,1,5]=>0000000=>0000000 [7,1,4,2,8,6,3,5]=>0000000=>0000000 [2,3,7,4,8,1,6,5]=>0000000=>0000000 [8,3,1,2,5,4,7,6]=>0000000=>0000000 [6,5,1,2,8,4,7,3]=>0000000=>0000000 [8,1,5,3,7,4,2,6]=>0000000=>0000000 [1,3,4,8,6,2,7,5]=>1000000=>0000001 [1,2,4,8,6,7,3,5]=>1100000=>0000011 [8,1,2,6,5,7,3,4]=>0000000=>0000000 [7,1,2,6,5,8,3,4]=>0000000=>0000000 [7,1,6,8,3,2,4,5]=>0000000=>0000000 [2,6,1,4,7,5,8,3]=>0000000=>0000000 [5,1,4,3,7,8,6,2]=>0000000=>0000000 [6,4,1,3,7,8,5,2]=>0000000=>0000000 [3,1,5,7,2,6,8,4]=>0000000=>0000000 [7,2,4,8,5,1,6,3]=>0000000=>0000000 [3,1,7,5,2,6,8,4]=>0000000=>0000000 [3,2,7,5,1,6,8,4]=>0000000=>0000000 [5,2,7,3,1,6,8,4]=>0000000=>0000000 [6,7,2,1,3,4,8,5]=>0000000=>0000000 [4,6,3,1,2,7,8,5]=>0000000=>0000000 [6,7,3,1,2,4,8,5]=>0000000=>0000000 [3,8,5,2,1,6,7,4]=>0000000=>0000000 [6,4,7,8,3,5,1,2]=>0000000=>0000000 [6,4,7,8,1,2,5,3]=>0000000=>0000000 [3,5,6,7,1,8,4,2]=>0000000=>0000000 [1,7,4,5,2,8,6,3]=>1000000=>0000001 [1,7,3,8,2,5,4,6]=>1000000=>0000001 [8,6,4,5,1,3,7,2]=>0000000=>0000000 [7,5,8,4,1,3,6,2]=>0000000=>0000000 [4,7,5,3,6,8,1,2]=>0000000=>0000000 [4,8,5,3,7,1,2,6]=>0000000=>0000000 [2,8,1,6,5,7,3,4]=>0000000=>0000000 [4,7,5,3,8,1,6,2]=>0000000=>0000000 [7,4,8,5,3,6,1,2]=>0000000=>0000000 [7,4,5,3,8,1,6,2]=>0000000=>0000000 [8,4,6,5,1,3,7,2]=>0000000=>0000000 [6,3,5,8,1,7,4,2]=>0000000=>0000000 [7,3,6,1,5,8,4,2]=>0000000=>0000000 [4,5,3,8,7,1,2,6]=>0000000=>0000000 [8,5,4,7,6,1,2,3]=>0000000=>0000000 [3,7,6,1,5,8,4,2]=>0000000=>0000000 [8,2,3,6,4,1,7,5]=>0000000=>0000000 [2,7,3,6,4,1,8,5]=>0000000=>0000000 [2,3,7,8,1,4,6,5]=>0000000=>0000000 [2,7,3,5,4,1,8,6]=>0000000=>0000000 [8,2,3,5,4,1,7,6]=>0000000=>0000000 [7,1,3,8,2,4,6,5]=>0000000=>0000000 [7,2,3,6,4,1,8,5]=>0000000=>0000000 [6,5,2,4,1,8,3,7]=>0000000=>0000000 [5,7,2,4,1,3,8,6]=>0000000=>0000000 [6,2,5,4,1,8,3,7]=>0000000=>0000000 [8,1,2,5,3,7,6,4]=>0000000=>0000000 [1,8,5,4,2,6,3,7]=>1000000=>0000001 [8,3,6,5,4,2,1,7]=>0000000=>0000000 [5,4,8,7,6,2,3,1]=>0000000=>0000000 [6,8,4,7,5,1,3,2]=>0000000=>0000000 [1,7,2,5,6,8,3,4]=>1000000=>0000001 [4,1,7,5,6,8,2,3]=>0000000=>0000000 [1,5,8,3,2,7,4,6]=>1000000=>0000001 [7,6,4,2,5,3,1,8]=>0000001=>1000000 [1,8,6,5,2,7,4,3]=>1000000=>0000001 [8,2,6,5,1,7,4,3]=>0000000=>0000000 [6,1,4,7,2,5,8,3]=>0000000=>0000000 [6,8,2,5,1,7,4,3]=>0000000=>0000000 [1,6,4,7,2,5,8,3]=>1000000=>0000001 [7,6,4,1,2,5,8,3]=>0000000=>0000000 [6,8,1,5,2,7,4,3]=>0000000=>0000000 [8,6,5,2,1,7,4,3]=>0000000=>0000000 [1,6,5,2,8,7,4,3]=>1000000=>0000001 [1,8,5,2,7,6,4,3]=>1000000=>0000001 [1,8,6,7,2,5,4,3]=>1000000=>0000001 [1,7,6,8,2,5,4,3]=>1000000=>0000001 [1,7,8,6,2,5,4,3]=>1000000=>0000001 [8,1,7,6,2,5,4,3]=>0000000=>0000000 [1,7,8,6,3,5,4,2]=>1000000=>0000001 [1,4,2,3,7,8,6,5]=>1001000=>0001001 [1,8,4,2,3,6,5,7]=>1000000=>0000001 [1,3,8,5,6,4,2,7]=>1000000=>0000001 [1,6,3,7,8,4,2,5]=>1000000=>0000001 [1,6,3,8,4,2,5,7]=>1000000=>0000001 [1,7,8,4,2,3,5,6]=>1000000=>0000001 [1,7,8,5,6,4,2,3]=>1000000=>0000001 [1,6,3,4,2,5,8,7]=>1000010=>0100001 [1,3,5,8,6,4,2,7]=>1000000=>0000001 [1,7,6,2,3,8,4,5]=>1000000=>0000001 [1,5,7,6,2,3,8,4]=>1000000=>0000001 [1,3,7,6,2,4,5,8]=>1000001=>1000001 [1,4,3,7,6,2,5,8]=>1000001=>1000001 [1,5,8,4,3,7,6,2]=>1000000=>0000001 [1,7,5,8,4,3,6,2]=>1000000=>0000001 [4,1,5,7,3,8,2,6]=>0000000=>0000000 [1,3,7,4,6,8,5,2]=>1000000=>0000001 [1,5,2,6,8,7,4,3]=>1000000=>0000001 [1,3,7,6,4,8,2,5]=>1000000=>0000001 [6,5,1,4,3,8,7,2]=>0000000=>0000000 [5,6,1,4,3,8,7,2]=>0000000=>0000000 [5,8,6,4,3,1,7,2]=>0000000=>0000000 [4,1,3,7,8,6,5,2]=>0000000=>0000000 [8,5,6,4,3,1,7,2]=>0000000=>0000000 [8,4,3,1,7,6,5,2]=>0000000=>0000000 [3,2,7,1,8,6,5,4]=>0000000=>0000000
Map
connectivity set
Description
The connectivity set of a permutation as a binary word.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.
Map
reverse
Description
Return the reversal of a binary word.