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Identifier
Mp00131: Permutations descent bottomsBinary words
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=>
[1]=> [1,2]=>0 [2,1]=>1 [1,2,3]=>00 [1,3,2]=>01 [2,1,3]=>10 [2,3,1]=>10 [3,1,2]=>10 [3,2,1]=>11 [1,2,3,4]=>000 [1,2,4,3]=>001 [1,3,2,4]=>010 [1,3,4,2]=>010 [1,4,2,3]=>010 [1,4,3,2]=>011 [2,1,3,4]=>100 [2,1,4,3]=>101 [2,3,1,4]=>100 [2,3,4,1]=>100 [2,4,1,3]=>100 [2,4,3,1]=>101 [3,1,2,4]=>100 [3,1,4,2]=>110 [3,2,1,4]=>110 [3,2,4,1]=>110 [3,4,1,2]=>100 [3,4,2,1]=>110 [4,1,2,3]=>100 [4,1,3,2]=>110 [4,2,1,3]=>110 [4,2,3,1]=>110 [4,3,1,2]=>101 [4,3,2,1]=>111 [1,2,3,4,5]=>0000 [1,2,3,5,4]=>0001 [1,2,4,3,5]=>0010 [1,2,4,5,3]=>0010 [1,2,5,3,4]=>0010 [1,2,5,4,3]=>0011 [1,3,2,4,5]=>0100 [1,3,2,5,4]=>0101 [1,3,4,2,5]=>0100 [1,3,4,5,2]=>0100 [1,3,5,2,4]=>0100 [1,3,5,4,2]=>0101 [1,4,2,3,5]=>0100 [1,4,2,5,3]=>0110 [1,4,3,2,5]=>0110 [1,4,3,5,2]=>0110 [1,4,5,2,3]=>0100 [1,4,5,3,2]=>0110 [1,5,2,3,4]=>0100 [1,5,2,4,3]=>0110 [1,5,3,2,4]=>0110 [1,5,3,4,2]=>0110 [1,5,4,2,3]=>0101 [1,5,4,3,2]=>0111 [2,1,3,4,5]=>1000 [2,1,3,5,4]=>1001 [2,1,4,3,5]=>1010 [2,1,4,5,3]=>1010 [2,1,5,3,4]=>1010 [2,1,5,4,3]=>1011 [2,3,1,4,5]=>1000 [2,3,1,5,4]=>1001 [2,3,4,1,5]=>1000 [2,3,4,5,1]=>1000 [2,3,5,1,4]=>1000 [2,3,5,4,1]=>1001 [2,4,1,3,5]=>1000 [2,4,1,5,3]=>1010 [2,4,3,1,5]=>1010 [2,4,3,5,1]=>1010 [2,4,5,1,3]=>1000 [2,4,5,3,1]=>1010 [2,5,1,3,4]=>1000 [2,5,1,4,3]=>1010 [2,5,3,1,4]=>1010 [2,5,3,4,1]=>1010 [2,5,4,1,3]=>1001 [2,5,4,3,1]=>1011 [3,1,2,4,5]=>1000 [3,1,2,5,4]=>1001 [3,1,4,2,5]=>1100 [3,1,4,5,2]=>1100 [3,1,5,2,4]=>1100 [3,1,5,4,2]=>1101 [3,2,1,4,5]=>1100 [3,2,1,5,4]=>1101 [3,2,4,1,5]=>1100 [3,2,4,5,1]=>1100 [3,2,5,1,4]=>1100 [3,2,5,4,1]=>1101 [3,4,1,2,5]=>1000 [3,4,1,5,2]=>1100 [3,4,2,1,5]=>1100 [3,4,2,5,1]=>1100 [3,4,5,1,2]=>1000 [3,4,5,2,1]=>1100 [3,5,1,2,4]=>1000 [3,5,1,4,2]=>1100 [3,5,2,1,4]=>1100 [3,5,2,4,1]=>1100 [3,5,4,1,2]=>1001 [3,5,4,2,1]=>1101 [4,1,2,3,5]=>1000 [4,1,2,5,3]=>1010 [4,1,3,2,5]=>1100 [4,1,3,5,2]=>1100 [4,1,5,2,3]=>1100 [4,1,5,3,2]=>1110 [4,2,1,3,5]=>1100 [4,2,1,5,3]=>1110 [4,2,3,1,5]=>1100 [4,2,3,5,1]=>1100 [4,2,5,1,3]=>1100 [4,2,5,3,1]=>1110 [4,3,1,2,5]=>1010 [4,3,1,5,2]=>1110 [4,3,2,1,5]=>1110 [4,3,2,5,1]=>1110 [4,3,5,1,2]=>1010 [4,3,5,2,1]=>1110 [4,5,1,2,3]=>1000 [4,5,1,3,2]=>1100 [4,5,2,1,3]=>1100 [4,5,2,3,1]=>1100 [4,5,3,1,2]=>1010 [4,5,3,2,1]=>1110 [5,1,2,3,4]=>1000 [5,1,2,4,3]=>1010 [5,1,3,2,4]=>1100 [5,1,3,4,2]=>1100 [5,1,4,2,3]=>1100 [5,1,4,3,2]=>1110 [5,2,1,3,4]=>1100 [5,2,1,4,3]=>1110 [5,2,3,1,4]=>1100 [5,2,3,4,1]=>1100 [5,2,4,1,3]=>1100 [5,2,4,3,1]=>1110 [5,3,1,2,4]=>1010 [5,3,1,4,2]=>1110 [5,3,2,1,4]=>1110 [5,3,2,4,1]=>1110 [5,3,4,1,2]=>1010 [5,3,4,2,1]=>1110 [5,4,1,2,3]=>1001 [5,4,1,3,2]=>1101 [5,4,2,1,3]=>1101 [5,4,2,3,1]=>1101 [5,4,3,1,2]=>1011 [5,4,3,2,1]=>1111 [1,2,3,4,5,6]=>00000 [1,2,3,4,6,5]=>00001 [1,2,3,5,4,6]=>00010 [1,2,3,5,6,4]=>00010 [1,2,3,6,4,5]=>00010 [1,2,3,6,5,4]=>00011 [1,2,4,3,5,6]=>00100 [1,2,4,3,6,5]=>00101 [1,2,4,5,3,6]=>00100 [1,2,4,5,6,3]=>00100 [1,2,4,6,3,5]=>00100 [1,2,4,6,5,3]=>00101 [1,2,5,3,4,6]=>00100 [1,2,5,3,6,4]=>00110 [1,2,5,4,3,6]=>00110 [1,2,5,4,6,3]=>00110 [1,2,5,6,3,4]=>00100 [1,2,5,6,4,3]=>00110 [1,2,6,3,4,5]=>00100 [1,2,6,3,5,4]=>00110 [1,2,6,4,3,5]=>00110 [1,2,6,4,5,3]=>00110 [1,2,6,5,3,4]=>00101 [1,2,6,5,4,3]=>00111 [1,3,2,4,5,6]=>01000 [1,3,2,4,6,5]=>01001 [1,3,2,5,4,6]=>01010 [1,3,2,5,6,4]=>01010 [1,3,2,6,4,5]=>01010 [1,3,2,6,5,4]=>01011 [1,3,4,2,5,6]=>01000 [1,3,4,2,6,5]=>01001 [1,3,4,5,2,6]=>01000 [1,3,4,5,6,2]=>01000 [1,3,4,6,2,5]=>01000 [1,3,4,6,5,2]=>01001 [1,3,5,2,4,6]=>01000 [1,3,5,2,6,4]=>01010 [1,3,5,4,2,6]=>01010 [1,3,5,4,6,2]=>01010 [1,3,5,6,2,4]=>01000 [1,3,5,6,4,2]=>01010 [1,3,6,2,4,5]=>01000 [1,3,6,2,5,4]=>01010 [1,3,6,4,2,5]=>01010 [1,3,6,4,5,2]=>01010 [1,3,6,5,2,4]=>01001 [1,3,6,5,4,2]=>01011 [1,4,2,3,5,6]=>01000 [1,4,2,3,6,5]=>01001 [1,4,2,5,3,6]=>01100 [1,4,2,5,6,3]=>01100 [1,4,2,6,3,5]=>01100 [1,4,2,6,5,3]=>01101 [1,4,3,2,5,6]=>01100 [1,4,3,2,6,5]=>01101 [1,4,3,5,2,6]=>01100 [1,4,3,5,6,2]=>01100 [1,4,3,6,2,5]=>01100 [1,4,3,6,5,2]=>01101 [1,4,5,2,3,6]=>01000 [1,4,5,2,6,3]=>01100 [1,4,5,3,2,6]=>01100 [1,4,5,3,6,2]=>01100 [1,4,5,6,2,3]=>01000 [1,4,5,6,3,2]=>01100 [1,4,6,2,3,5]=>01000 [1,4,6,2,5,3]=>01100 [1,4,6,3,2,5]=>01100 [1,4,6,3,5,2]=>01100 [1,4,6,5,2,3]=>01001 [1,4,6,5,3,2]=>01101 [1,5,2,3,4,6]=>01000 [1,5,2,3,6,4]=>01010 [1,5,2,4,3,6]=>01100 [1,5,2,4,6,3]=>01100 [1,5,2,6,3,4]=>01100 [1,5,2,6,4,3]=>01110 [1,5,3,2,4,6]=>01100 [1,5,3,2,6,4]=>01110 [1,5,3,4,2,6]=>01100 [1,5,3,4,6,2]=>01100 [1,5,3,6,2,4]=>01100 [1,5,3,6,4,2]=>01110 [1,5,4,2,3,6]=>01010 [1,5,4,2,6,3]=>01110 [1,5,4,3,2,6]=>01110 [1,5,4,3,6,2]=>01110 [1,5,4,6,2,3]=>01010 [1,5,4,6,3,2]=>01110 [1,5,6,2,3,4]=>01000 [1,5,6,2,4,3]=>01100 [1,5,6,3,2,4]=>01100 [1,5,6,3,4,2]=>01100 [1,5,6,4,2,3]=>01010 [1,5,6,4,3,2]=>01110 [1,6,2,3,4,5]=>01000 [1,6,2,3,5,4]=>01010 [1,6,2,4,3,5]=>01100 [1,6,2,4,5,3]=>01100 [1,6,2,5,3,4]=>01100 [1,6,2,5,4,3]=>01110 [1,6,3,2,4,5]=>01100 [1,6,3,2,5,4]=>01110 [1,6,3,4,2,5]=>01100 [1,6,3,4,5,2]=>01100 [1,6,3,5,2,4]=>01100 [1,6,3,5,4,2]=>01110 [1,6,4,2,3,5]=>01010 [1,6,4,2,5,3]=>01110 [1,6,4,3,2,5]=>01110 [1,6,4,3,5,2]=>01110 [1,6,4,5,2,3]=>01010 [1,6,4,5,3,2]=>01110 [1,6,5,2,3,4]=>01001 [1,6,5,2,4,3]=>01101 [1,6,5,3,2,4]=>01101 [1,6,5,3,4,2]=>01101 [1,6,5,4,2,3]=>01011 [1,6,5,4,3,2]=>01111 [2,1,3,4,5,6]=>10000 [2,1,3,4,6,5]=>10001 [2,1,3,5,4,6]=>10010 [2,1,3,5,6,4]=>10010 [2,1,3,6,4,5]=>10010 [2,1,3,6,5,4]=>10011 [2,1,4,3,5,6]=>10100 [2,1,4,3,6,5]=>10101 [2,1,4,5,3,6]=>10100 [2,1,4,5,6,3]=>10100 [2,1,4,6,3,5]=>10100 [2,1,4,6,5,3]=>10101 [2,1,5,3,4,6]=>10100 [2,1,5,3,6,4]=>10110 [2,1,5,4,3,6]=>10110 [2,1,5,4,6,3]=>10110 [2,1,5,6,3,4]=>10100 [2,1,5,6,4,3]=>10110 [2,1,6,3,4,5]=>10100 [2,1,6,3,5,4]=>10110 [2,1,6,4,3,5]=>10110 [2,1,6,4,5,3]=>10110 [2,1,6,5,3,4]=>10101 [2,1,6,5,4,3]=>10111 [2,3,1,4,5,6]=>10000 [2,3,1,4,6,5]=>10001 [2,3,1,5,4,6]=>10010 [2,3,1,5,6,4]=>10010 [2,3,1,6,4,5]=>10010 [2,3,1,6,5,4]=>10011 [2,3,4,1,5,6]=>10000 [2,3,4,1,6,5]=>10001 [2,3,4,5,1,6]=>10000 [2,3,4,5,6,1]=>10000 [2,3,4,6,1,5]=>10000 [2,3,4,6,5,1]=>10001 [2,3,5,1,4,6]=>10000 [2,3,5,1,6,4]=>10010 [2,3,5,4,1,6]=>10010 [2,3,5,4,6,1]=>10010 [2,3,5,6,1,4]=>10000 [2,3,5,6,4,1]=>10010 [2,3,6,1,4,5]=>10000 [2,3,6,1,5,4]=>10010 [2,3,6,4,1,5]=>10010 [2,3,6,4,5,1]=>10010 [2,3,6,5,1,4]=>10001 [2,3,6,5,4,1]=>10011 [2,4,1,3,5,6]=>10000 [2,4,1,3,6,5]=>10001 [2,4,1,5,3,6]=>10100 [2,4,1,5,6,3]=>10100 [2,4,1,6,3,5]=>10100 [2,4,1,6,5,3]=>10101 [2,4,3,1,5,6]=>10100 [2,4,3,1,6,5]=>10101 [2,4,3,5,1,6]=>10100 [2,4,3,5,6,1]=>10100 [2,4,3,6,1,5]=>10100 [2,4,3,6,5,1]=>10101 [2,4,5,1,3,6]=>10000 [2,4,5,1,6,3]=>10100 [2,4,5,3,1,6]=>10100 [2,4,5,3,6,1]=>10100 [2,4,5,6,1,3]=>10000 [2,4,5,6,3,1]=>10100 [2,4,6,1,3,5]=>10000 [2,4,6,1,5,3]=>10100 [2,4,6,3,1,5]=>10100 [2,4,6,3,5,1]=>10100 [2,4,6,5,1,3]=>10001 [2,4,6,5,3,1]=>10101 [2,5,1,3,4,6]=>10000 [2,5,1,3,6,4]=>10010 [2,5,1,4,3,6]=>10100 [2,5,1,4,6,3]=>10100 [2,5,1,6,3,4]=>10100 [2,5,1,6,4,3]=>10110 [2,5,3,1,4,6]=>10100 [2,5,3,1,6,4]=>10110 [2,5,3,4,1,6]=>10100 [2,5,3,4,6,1]=>10100 [2,5,3,6,1,4]=>10100 [2,5,3,6,4,1]=>10110 [2,5,4,1,3,6]=>10010 [2,5,4,1,6,3]=>10110 [2,5,4,3,1,6]=>10110 [2,5,4,3,6,1]=>10110 [2,5,4,6,1,3]=>10010 [2,5,4,6,3,1]=>10110 [2,5,6,1,3,4]=>10000 [2,5,6,1,4,3]=>10100 [2,5,6,3,1,4]=>10100 [2,5,6,3,4,1]=>10100 [2,5,6,4,1,3]=>10010 [2,5,6,4,3,1]=>10110 [2,6,1,3,4,5]=>10000 [2,6,1,3,5,4]=>10010 [2,6,1,4,3,5]=>10100 [2,6,1,4,5,3]=>10100 [2,6,1,5,3,4]=>10100 [2,6,1,5,4,3]=>10110 [2,6,3,1,4,5]=>10100 [2,6,3,1,5,4]=>10110 [2,6,3,4,1,5]=>10100 [2,6,3,4,5,1]=>10100 [2,6,3,5,1,4]=>10100 [2,6,3,5,4,1]=>10110 [2,6,4,1,3,5]=>10010 [2,6,4,1,5,3]=>10110 [2,6,4,3,1,5]=>10110 [2,6,4,3,5,1]=>10110 [2,6,4,5,1,3]=>10010 [2,6,4,5,3,1]=>10110 [2,6,5,1,3,4]=>10001 [2,6,5,1,4,3]=>10101 [2,6,5,3,1,4]=>10101 [2,6,5,3,4,1]=>10101 [2,6,5,4,1,3]=>10011 [2,6,5,4,3,1]=>10111 [3,1,2,4,5,6]=>10000 [3,1,2,4,6,5]=>10001 [3,1,2,5,4,6]=>10010 [3,1,2,5,6,4]=>10010 [3,1,2,6,4,5]=>10010 [3,1,2,6,5,4]=>10011 [3,1,4,2,5,6]=>11000 [3,1,4,2,6,5]=>11001 [3,1,4,5,2,6]=>11000 [3,1,4,5,6,2]=>11000 [3,1,4,6,2,5]=>11000 [3,1,4,6,5,2]=>11001 [3,1,5,2,4,6]=>11000 [3,1,5,2,6,4]=>11010 [3,1,5,4,2,6]=>11010 [3,1,5,4,6,2]=>11010 [3,1,5,6,2,4]=>11000 [3,1,5,6,4,2]=>11010 [3,1,6,2,4,5]=>11000 [3,1,6,2,5,4]=>11010 [3,1,6,4,2,5]=>11010 [3,1,6,4,5,2]=>11010 [3,1,6,5,2,4]=>11001 [3,1,6,5,4,2]=>11011 [3,2,1,4,5,6]=>11000 [3,2,1,4,6,5]=>11001 [3,2,1,5,4,6]=>11010 [3,2,1,5,6,4]=>11010 [3,2,1,6,4,5]=>11010 [3,2,1,6,5,4]=>11011 [3,2,4,1,5,6]=>11000 [3,2,4,1,6,5]=>11001 [3,2,4,5,1,6]=>11000 [3,2,4,5,6,1]=>11000 [3,2,4,6,1,5]=>11000 [3,2,4,6,5,1]=>11001 [3,2,5,1,4,6]=>11000 [3,2,5,1,6,4]=>11010 [3,2,5,4,1,6]=>11010 [3,2,5,4,6,1]=>11010 [3,2,5,6,1,4]=>11000 [3,2,5,6,4,1]=>11010 [3,2,6,1,4,5]=>11000 [3,2,6,1,5,4]=>11010 [3,2,6,4,1,5]=>11010 [3,2,6,4,5,1]=>11010 [3,2,6,5,1,4]=>11001 [3,2,6,5,4,1]=>11011 [3,4,1,2,5,6]=>10000 [3,4,1,2,6,5]=>10001 [3,4,1,5,2,6]=>11000 [3,4,1,5,6,2]=>11000 [3,4,1,6,2,5]=>11000 [3,4,1,6,5,2]=>11001 [3,4,2,1,5,6]=>11000 [3,4,2,1,6,5]=>11001 [3,4,2,5,1,6]=>11000 [3,4,2,5,6,1]=>11000 [3,4,2,6,1,5]=>11000 [3,4,2,6,5,1]=>11001 [3,4,5,1,2,6]=>10000 [3,4,5,1,6,2]=>11000 [3,4,5,2,1,6]=>11000 [3,4,5,2,6,1]=>11000 [3,4,5,6,1,2]=>10000 [3,4,5,6,2,1]=>11000 [3,4,6,1,2,5]=>10000 [3,4,6,1,5,2]=>11000 [3,4,6,2,1,5]=>11000 [3,4,6,2,5,1]=>11000 [3,4,6,5,1,2]=>10001 [3,4,6,5,2,1]=>11001 [3,5,1,2,4,6]=>10000 [3,5,1,2,6,4]=>10010 [3,5,1,4,2,6]=>11000 [3,5,1,4,6,2]=>11000 [3,5,1,6,2,4]=>11000 [3,5,1,6,4,2]=>11010 [3,5,2,1,4,6]=>11000 [3,5,2,1,6,4]=>11010 [3,5,2,4,1,6]=>11000 [3,5,2,4,6,1]=>11000 [3,5,2,6,1,4]=>11000 [3,5,2,6,4,1]=>11010 [3,5,4,1,2,6]=>10010 [3,5,4,1,6,2]=>11010 [3,5,4,2,1,6]=>11010 [3,5,4,2,6,1]=>11010 [3,5,4,6,1,2]=>10010 [3,5,4,6,2,1]=>11010 [3,5,6,1,2,4]=>10000 [3,5,6,1,4,2]=>11000 [3,5,6,2,1,4]=>11000 [3,5,6,2,4,1]=>11000 [3,5,6,4,1,2]=>10010 [3,5,6,4,2,1]=>11010 [3,6,1,2,4,5]=>10000 [3,6,1,2,5,4]=>10010 [3,6,1,4,2,5]=>11000 [3,6,1,4,5,2]=>11000 [3,6,1,5,2,4]=>11000 [3,6,1,5,4,2]=>11010 [3,6,2,1,4,5]=>11000 [3,6,2,1,5,4]=>11010 [3,6,2,4,1,5]=>11000 [3,6,2,4,5,1]=>11000 [3,6,2,5,1,4]=>11000 [3,6,2,5,4,1]=>11010 [3,6,4,1,2,5]=>10010 [3,6,4,1,5,2]=>11010 [3,6,4,2,1,5]=>11010 [3,6,4,2,5,1]=>11010 [3,6,4,5,1,2]=>10010 [3,6,4,5,2,1]=>11010 [3,6,5,1,2,4]=>10001 [3,6,5,1,4,2]=>11001 [3,6,5,2,1,4]=>11001 [3,6,5,2,4,1]=>11001 [3,6,5,4,1,2]=>10011 [3,6,5,4,2,1]=>11011 [4,1,2,3,5,6]=>10000 [4,1,2,3,6,5]=>10001 [4,1,2,5,3,6]=>10100 [4,1,2,5,6,3]=>10100 [4,1,2,6,3,5]=>10100 [4,1,2,6,5,3]=>10101 [4,1,3,2,5,6]=>11000 [4,1,3,2,6,5]=>11001 [4,1,3,5,2,6]=>11000 [4,1,3,5,6,2]=>11000 [4,1,3,6,2,5]=>11000 [4,1,3,6,5,2]=>11001 [4,1,5,2,3,6]=>11000 [4,1,5,2,6,3]=>11100 [4,1,5,3,2,6]=>11100 [4,1,5,3,6,2]=>11100 [4,1,5,6,2,3]=>11000 [4,1,5,6,3,2]=>11100 [4,1,6,2,3,5]=>11000 [4,1,6,2,5,3]=>11100 [4,1,6,3,2,5]=>11100 [4,1,6,3,5,2]=>11100 [4,1,6,5,2,3]=>11001 [4,1,6,5,3,2]=>11101 [4,2,1,3,5,6]=>11000 [4,2,1,3,6,5]=>11001 [4,2,1,5,3,6]=>11100 [4,2,1,5,6,3]=>11100 [4,2,1,6,3,5]=>11100 [4,2,1,6,5,3]=>11101 [4,2,3,1,5,6]=>11000 [4,2,3,1,6,5]=>11001 [4,2,3,5,1,6]=>11000 [4,2,3,5,6,1]=>11000 [4,2,3,6,1,5]=>11000 [4,2,3,6,5,1]=>11001 [4,2,5,1,3,6]=>11000 [4,2,5,1,6,3]=>11100 [4,2,5,3,1,6]=>11100 [4,2,5,3,6,1]=>11100 [4,2,5,6,1,3]=>11000 [4,2,5,6,3,1]=>11100 [4,2,6,1,3,5]=>11000 [4,2,6,1,5,3]=>11100 [4,2,6,3,1,5]=>11100 [4,2,6,3,5,1]=>11100 [4,2,6,5,1,3]=>11001 [4,2,6,5,3,1]=>11101 [4,3,1,2,5,6]=>10100 [4,3,1,2,6,5]=>10101 [4,3,1,5,2,6]=>11100 [4,3,1,5,6,2]=>11100 [4,3,1,6,2,5]=>11100 [4,3,1,6,5,2]=>11101 [4,3,2,1,5,6]=>11100 [4,3,2,1,6,5]=>11101 [4,3,2,5,1,6]=>11100 [4,3,2,5,6,1]=>11100 [4,3,2,6,1,5]=>11100 [4,3,2,6,5,1]=>11101 [4,3,5,1,2,6]=>10100 [4,3,5,1,6,2]=>11100 [4,3,5,2,1,6]=>11100 [4,3,5,2,6,1]=>11100 [4,3,5,6,1,2]=>10100 [4,3,5,6,2,1]=>11100 [4,3,6,1,2,5]=>10100 [4,3,6,1,5,2]=>11100 [4,3,6,2,1,5]=>11100 [4,3,6,2,5,1]=>11100 [4,3,6,5,1,2]=>10101 [4,3,6,5,2,1]=>11101 [4,5,1,2,3,6]=>10000 [4,5,1,2,6,3]=>10100 [4,5,1,3,2,6]=>11000 [4,5,1,3,6,2]=>11000 [4,5,1,6,2,3]=>11000 [4,5,1,6,3,2]=>11100 [4,5,2,1,3,6]=>11000 [4,5,2,1,6,3]=>11100 [4,5,2,3,1,6]=>11000 [4,5,2,3,6,1]=>11000 [4,5,2,6,1,3]=>11000 [4,5,2,6,3,1]=>11100 [4,5,3,1,2,6]=>10100 [4,5,3,1,6,2]=>11100 [4,5,3,2,1,6]=>11100 [4,5,3,2,6,1]=>11100 [4,5,3,6,1,2]=>10100 [4,5,3,6,2,1]=>11100 [4,5,6,1,2,3]=>10000 [4,5,6,1,3,2]=>11000 [4,5,6,2,1,3]=>11000 [4,5,6,2,3,1]=>11000 [4,5,6,3,1,2]=>10100 [4,5,6,3,2,1]=>11100 [4,6,1,2,3,5]=>10000 [4,6,1,2,5,3]=>10100 [4,6,1,3,2,5]=>11000 [4,6,1,3,5,2]=>11000 [4,6,1,5,2,3]=>11000 [4,6,1,5,3,2]=>11100 [4,6,2,1,3,5]=>11000 [4,6,2,1,5,3]=>11100 [4,6,2,3,1,5]=>11000 [4,6,2,3,5,1]=>11000 [4,6,2,5,1,3]=>11000 [4,6,2,5,3,1]=>11100 [4,6,3,1,2,5]=>10100 [4,6,3,1,5,2]=>11100 [4,6,3,2,1,5]=>11100 [4,6,3,2,5,1]=>11100 [4,6,3,5,1,2]=>10100 [4,6,3,5,2,1]=>11100 [4,6,5,1,2,3]=>10001 [4,6,5,1,3,2]=>11001 [4,6,5,2,1,3]=>11001 [4,6,5,2,3,1]=>11001 [4,6,5,3,1,2]=>10101 [4,6,5,3,2,1]=>11101 [5,1,2,3,4,6]=>10000 [5,1,2,3,6,4]=>10010 [5,1,2,4,3,6]=>10100 [5,1,2,4,6,3]=>10100 [5,1,2,6,3,4]=>10100 [5,1,2,6,4,3]=>10110 [5,1,3,2,4,6]=>11000 [5,1,3,2,6,4]=>11010 [5,1,3,4,2,6]=>11000 [5,1,3,4,6,2]=>11000 [5,1,3,6,2,4]=>11000 [5,1,3,6,4,2]=>11010 [5,1,4,2,3,6]=>11000 [5,1,4,2,6,3]=>11100 [5,1,4,3,2,6]=>11100 [5,1,4,3,6,2]=>11100 [5,1,4,6,2,3]=>11000 [5,1,4,6,3,2]=>11100 [5,1,6,2,3,4]=>11000 [5,1,6,2,4,3]=>11100 [5,1,6,3,2,4]=>11100 [5,1,6,3,4,2]=>11100 [5,1,6,4,2,3]=>11010 [5,1,6,4,3,2]=>11110 [5,2,1,3,4,6]=>11000 [5,2,1,3,6,4]=>11010 [5,2,1,4,3,6]=>11100 [5,2,1,4,6,3]=>11100 [5,2,1,6,3,4]=>11100 [5,2,1,6,4,3]=>11110 [5,2,3,1,4,6]=>11000 [5,2,3,1,6,4]=>11010 [5,2,3,4,1,6]=>11000 [5,2,3,4,6,1]=>11000 [5,2,3,6,1,4]=>11000 [5,2,3,6,4,1]=>11010 [5,2,4,1,3,6]=>11000 [5,2,4,1,6,3]=>11100 [5,2,4,3,1,6]=>11100 [5,2,4,3,6,1]=>11100 [5,2,4,6,1,3]=>11000 [5,2,4,6,3,1]=>11100 [5,2,6,1,3,4]=>11000 [5,2,6,1,4,3]=>11100 [5,2,6,3,1,4]=>11100 [5,2,6,3,4,1]=>11100 [5,2,6,4,1,3]=>11010 [5,2,6,4,3,1]=>11110 [5,3,1,2,4,6]=>10100 [5,3,1,2,6,4]=>10110 [5,3,1,4,2,6]=>11100 [5,3,1,4,6,2]=>11100 [5,3,1,6,2,4]=>11100 [5,3,1,6,4,2]=>11110 [5,3,2,1,4,6]=>11100 [5,3,2,1,6,4]=>11110 [5,3,2,4,1,6]=>11100 [5,3,2,4,6,1]=>11100 [5,3,2,6,1,4]=>11100 [5,3,2,6,4,1]=>11110 [5,3,4,1,2,6]=>10100 [5,3,4,1,6,2]=>11100 [5,3,4,2,1,6]=>11100 [5,3,4,2,6,1]=>11100 [5,3,4,6,1,2]=>10100 [5,3,4,6,2,1]=>11100 [5,3,6,1,2,4]=>10100 [5,3,6,1,4,2]=>11100 [5,3,6,2,1,4]=>11100 [5,3,6,2,4,1]=>11100 [5,3,6,4,1,2]=>10110 [5,3,6,4,2,1]=>11110 [5,4,1,2,3,6]=>10010 [5,4,1,2,6,3]=>10110 [5,4,1,3,2,6]=>11010 [5,4,1,3,6,2]=>11010 [5,4,1,6,2,3]=>11010 [5,4,1,6,3,2]=>11110 [5,4,2,1,3,6]=>11010 [5,4,2,1,6,3]=>11110 [5,4,2,3,1,6]=>11010 [5,4,2,3,6,1]=>11010 [5,4,2,6,1,3]=>11010 [5,4,2,6,3,1]=>11110 [5,4,3,1,2,6]=>10110 [5,4,3,1,6,2]=>11110 [5,4,3,2,1,6]=>11110 [5,4,3,2,6,1]=>11110 [5,4,3,6,1,2]=>10110 [5,4,3,6,2,1]=>11110 [5,4,6,1,2,3]=>10010 [5,4,6,1,3,2]=>11010 [5,4,6,2,1,3]=>11010 [5,4,6,2,3,1]=>11010 [5,4,6,3,1,2]=>10110 [5,4,6,3,2,1]=>11110 [5,6,1,2,3,4]=>10000 [5,6,1,2,4,3]=>10100 [5,6,1,3,2,4]=>11000 [5,6,1,3,4,2]=>11000 [5,6,1,4,2,3]=>11000 [5,6,1,4,3,2]=>11100 [5,6,2,1,3,4]=>11000 [5,6,2,1,4,3]=>11100 [5,6,2,3,1,4]=>11000 [5,6,2,3,4,1]=>11000 [5,6,2,4,1,3]=>11000 [5,6,2,4,3,1]=>11100 [5,6,3,1,2,4]=>10100 [5,6,3,1,4,2]=>11100 [5,6,3,2,1,4]=>11100 [5,6,3,2,4,1]=>11100 [5,6,3,4,1,2]=>10100 [5,6,3,4,2,1]=>11100 [5,6,4,1,2,3]=>10010 [5,6,4,1,3,2]=>11010 [5,6,4,2,1,3]=>11010 [5,6,4,2,3,1]=>11010 [5,6,4,3,1,2]=>10110 [5,6,4,3,2,1]=>11110 [6,1,2,3,4,5]=>10000 [6,1,2,3,5,4]=>10010 [6,1,2,4,3,5]=>10100 [6,1,2,4,5,3]=>10100 [6,1,2,5,3,4]=>10100 [6,1,2,5,4,3]=>10110 [6,1,3,2,4,5]=>11000 [6,1,3,2,5,4]=>11010 [6,1,3,4,2,5]=>11000 [6,1,3,4,5,2]=>11000 [6,1,3,5,2,4]=>11000 [6,1,3,5,4,2]=>11010 [6,1,4,2,3,5]=>11000 [6,1,4,2,5,3]=>11100 [6,1,4,3,2,5]=>11100 [6,1,4,3,5,2]=>11100 [6,1,4,5,2,3]=>11000 [6,1,4,5,3,2]=>11100 [6,1,5,2,3,4]=>11000 [6,1,5,2,4,3]=>11100 [6,1,5,3,2,4]=>11100 [6,1,5,3,4,2]=>11100 [6,1,5,4,2,3]=>11010 [6,1,5,4,3,2]=>11110 [6,2,1,3,4,5]=>11000 [6,2,1,3,5,4]=>11010 [6,2,1,4,3,5]=>11100 [6,2,1,4,5,3]=>11100 [6,2,1,5,3,4]=>11100 [6,2,1,5,4,3]=>11110 [6,2,3,1,4,5]=>11000 [6,2,3,1,5,4]=>11010 [6,2,3,4,1,5]=>11000 [6,2,3,4,5,1]=>11000 [6,2,3,5,1,4]=>11000 [6,2,3,5,4,1]=>11010 [6,2,4,1,3,5]=>11000 [6,2,4,1,5,3]=>11100 [6,2,4,3,1,5]=>11100 [6,2,4,3,5,1]=>11100 [6,2,4,5,1,3]=>11000 [6,2,4,5,3,1]=>11100 [6,2,5,1,3,4]=>11000 [6,2,5,1,4,3]=>11100 [6,2,5,3,1,4]=>11100 [6,2,5,3,4,1]=>11100 [6,2,5,4,1,3]=>11010 [6,2,5,4,3,1]=>11110 [6,3,1,2,4,5]=>10100 [6,3,1,2,5,4]=>10110 [6,3,1,4,2,5]=>11100 [6,3,1,4,5,2]=>11100 [6,3,1,5,2,4]=>11100 [6,3,1,5,4,2]=>11110 [6,3,2,1,4,5]=>11100 [6,3,2,1,5,4]=>11110 [6,3,2,4,1,5]=>11100 [6,3,2,4,5,1]=>11100 [6,3,2,5,1,4]=>11100 [6,3,2,5,4,1]=>11110 [6,3,4,1,2,5]=>10100 [6,3,4,1,5,2]=>11100 [6,3,4,2,1,5]=>11100 [6,3,4,2,5,1]=>11100 [6,3,4,5,1,2]=>10100 [6,3,4,5,2,1]=>11100 [6,3,5,1,2,4]=>10100 [6,3,5,1,4,2]=>11100 [6,3,5,2,1,4]=>11100 [6,3,5,2,4,1]=>11100 [6,3,5,4,1,2]=>10110 [6,3,5,4,2,1]=>11110 [6,4,1,2,3,5]=>10010 [6,4,1,2,5,3]=>10110 [6,4,1,3,2,5]=>11010 [6,4,1,3,5,2]=>11010 [6,4,1,5,2,3]=>11010 [6,4,1,5,3,2]=>11110 [6,4,2,1,3,5]=>11010 [6,4,2,1,5,3]=>11110 [6,4,2,3,1,5]=>11010 [6,4,2,3,5,1]=>11010 [6,4,2,5,1,3]=>11010 [6,4,2,5,3,1]=>11110 [6,4,3,1,2,5]=>10110 [6,4,3,1,5,2]=>11110 [6,4,3,2,1,5]=>11110 [6,4,3,2,5,1]=>11110 [6,4,3,5,1,2]=>10110 [6,4,3,5,2,1]=>11110 [6,4,5,1,2,3]=>10010 [6,4,5,1,3,2]=>11010 [6,4,5,2,1,3]=>11010 [6,4,5,2,3,1]=>11010 [6,4,5,3,1,2]=>10110 [6,4,5,3,2,1]=>11110 [6,5,1,2,3,4]=>10001 [6,5,1,2,4,3]=>10101 [6,5,1,3,2,4]=>11001 [6,5,1,3,4,2]=>11001 [6,5,1,4,2,3]=>11001 [6,5,1,4,3,2]=>11101 [6,5,2,1,3,4]=>11001 [6,5,2,1,4,3]=>11101 [6,5,2,3,1,4]=>11001 [6,5,2,3,4,1]=>11001 [6,5,2,4,1,3]=>11001 [6,5,2,4,3,1]=>11101 [6,5,3,1,2,4]=>10101 [6,5,3,1,4,2]=>11101 [6,5,3,2,1,4]=>11101 [6,5,3,2,4,1]=>11101 [6,5,3,4,1,2]=>10101 [6,5,3,4,2,1]=>11101 [6,5,4,1,2,3]=>10011 [6,5,4,1,3,2]=>11011 [6,5,4,2,1,3]=>11011 [6,5,4,2,3,1]=>11011 [6,5,4,3,1,2]=>10111 [6,5,4,3,2,1]=>11111 [1,2,3,4,5,6,7]=>000000 [1,2,3,4,5,7,6]=>000001 [1,2,3,4,6,5,7]=>000010 [1,2,3,4,6,7,5]=>000010 [1,2,3,4,7,5,6]=>000010 [1,2,3,4,7,6,5]=>000011 [1,2,3,5,4,6,7]=>000100 [1,2,3,5,4,7,6]=>000101 [1,2,3,5,6,4,7]=>000100 [1,2,3,5,6,7,4]=>000100 [1,2,3,5,7,4,6]=>000100 [1,2,3,5,7,6,4]=>000101 [1,2,3,6,4,5,7]=>000100 [1,2,3,6,4,7,5]=>000110 [1,2,3,6,5,4,7]=>000110 [1,2,3,6,5,7,4]=>000110 [1,2,3,6,7,4,5]=>000100 [1,2,3,6,7,5,4]=>000110 [1,2,3,7,4,5,6]=>000100 [1,2,3,7,4,6,5]=>000110 [1,2,3,7,5,4,6]=>000110 [1,2,3,7,5,6,4]=>000110 [1,2,3,7,6,4,5]=>000101 [1,2,3,7,6,5,4]=>000111 [1,2,4,3,5,6,7]=>001000 [1,2,4,3,5,7,6]=>001001 [1,2,4,3,6,5,7]=>001010 [1,2,4,3,6,7,5]=>001010 [1,2,4,3,7,5,6]=>001010 [1,2,4,3,7,6,5]=>001011 [1,2,4,5,3,6,7]=>001000 [1,2,4,5,3,7,6]=>001001 [1,2,4,5,6,3,7]=>001000 [1,2,4,5,6,7,3]=>001000 [1,2,4,5,7,3,6]=>001000 [1,2,4,5,7,6,3]=>001001 [1,2,4,6,3,5,7]=>001000 [1,2,4,6,3,7,5]=>001010 [1,2,4,6,5,3,7]=>001010 [1,2,4,6,5,7,3]=>001010 [1,2,4,6,7,3,5]=>001000 [1,2,4,6,7,5,3]=>001010 [1,2,4,7,3,5,6]=>001000 [1,2,4,7,3,6,5]=>001010 [1,2,4,7,5,3,6]=>001010 [1,2,4,7,5,6,3]=>001010 [1,2,4,7,6,3,5]=>001001 [1,2,4,7,6,5,3]=>001011 [1,2,5,3,4,6,7]=>001000 [1,2,5,3,4,7,6]=>001001 [1,2,5,3,6,4,7]=>001100 [1,2,5,3,6,7,4]=>001100 [1,2,5,3,7,4,6]=>001100 [1,2,5,3,7,6,4]=>001101 [1,2,5,4,3,6,7]=>001100 [1,2,5,4,3,7,6]=>001101 [1,2,5,4,6,3,7]=>001100 [1,2,5,4,6,7,3]=>001100 [1,2,5,4,7,3,6]=>001100 [1,2,5,4,7,6,3]=>001101 [1,2,5,6,3,4,7]=>001000 [1,2,5,6,3,7,4]=>001100 [1,2,5,6,4,3,7]=>001100 [1,2,5,6,4,7,3]=>001100 [1,2,5,6,7,3,4]=>001000 [1,2,5,6,7,4,3]=>001100 [1,2,5,7,3,4,6]=>001000 [1,2,5,7,3,6,4]=>001100 [1,2,5,7,4,3,6]=>001100 [1,2,5,7,4,6,3]=>001100 [1,2,5,7,6,3,4]=>001001 [1,2,5,7,6,4,3]=>001101 [1,2,6,3,4,5,7]=>001000 [1,2,6,3,4,7,5]=>001010 [1,2,6,3,5,4,7]=>001100 [1,2,6,3,5,7,4]=>001100 [1,2,6,3,7,4,5]=>001100 [1,2,6,3,7,5,4]=>001110 [1,2,6,4,3,5,7]=>001100 [1,2,6,4,3,7,5]=>001110 [1,2,6,4,5,3,7]=>001100 [1,2,6,4,5,7,3]=>001100 [1,2,6,4,7,3,5]=>001100 [1,2,6,4,7,5,3]=>001110 [1,2,6,5,3,4,7]=>001010 [1,2,6,5,3,7,4]=>001110 [1,2,6,5,4,3,7]=>001110 [1,2,6,5,4,7,3]=>001110 [1,2,6,5,7,3,4]=>001010 [1,2,6,5,7,4,3]=>001110 [1,2,6,7,3,4,5]=>001000 [1,2,6,7,3,5,4]=>001100 [1,2,6,7,4,3,5]=>001100 [1,2,6,7,4,5,3]=>001100 [1,2,6,7,5,3,4]=>001010 [1,2,6,7,5,4,3]=>001110 [1,2,7,3,4,5,6]=>001000 [1,2,7,3,4,6,5]=>001010 [1,2,7,3,5,4,6]=>001100 [1,2,7,3,5,6,4]=>001100 [1,2,7,3,6,4,5]=>001100 [1,2,7,3,6,5,4]=>001110 [1,2,7,4,3,5,6]=>001100 [1,2,7,4,3,6,5]=>001110 [1,2,7,4,5,3,6]=>001100 [1,2,7,4,5,6,3]=>001100 [1,2,7,4,6,3,5]=>001100 [1,2,7,4,6,5,3]=>001110 [1,2,7,5,3,4,6]=>001010 [1,2,7,5,3,6,4]=>001110 [1,2,7,5,4,3,6]=>001110 [1,2,7,5,4,6,3]=>001110 [1,2,7,5,6,3,4]=>001010 [1,2,7,5,6,4,3]=>001110 [1,2,7,6,3,4,5]=>001001 [1,2,7,6,3,5,4]=>001101 [1,2,7,6,4,3,5]=>001101 [1,2,7,6,4,5,3]=>001101 [1,2,7,6,5,3,4]=>001011 [1,2,7,6,5,4,3]=>001111 [1,3,2,4,5,6,7]=>010000 [1,3,2,4,5,7,6]=>010001 [1,3,2,4,6,5,7]=>010010 [1,3,2,4,6,7,5]=>010010 [1,3,2,4,7,5,6]=>010010 [1,3,2,4,7,6,5]=>010011 [1,3,2,5,4,6,7]=>010100 [1,3,2,5,4,7,6]=>010101 [1,3,2,5,6,4,7]=>010100 [1,3,2,5,6,7,4]=>010100 [1,3,2,5,7,4,6]=>010100 [1,3,2,5,7,6,4]=>010101 [1,3,2,6,4,5,7]=>010100 [1,3,2,6,4,7,5]=>010110 [1,3,2,6,5,4,7]=>010110 [1,3,2,6,5,7,4]=>010110 [1,3,2,6,7,4,5]=>010100 [1,3,2,6,7,5,4]=>010110 [1,3,2,7,4,5,6]=>010100 [1,3,2,7,4,6,5]=>010110 [1,3,2,7,5,4,6]=>010110 [1,3,2,7,5,6,4]=>010110 [1,3,2,7,6,4,5]=>010101 [1,3,2,7,6,5,4]=>010111 [1,3,4,2,5,6,7]=>010000 [1,3,4,2,5,7,6]=>010001 [1,3,4,2,6,5,7]=>010010 [1,3,4,2,6,7,5]=>010010 [1,3,4,2,7,5,6]=>010010 [1,3,4,2,7,6,5]=>010011 [1,3,4,5,2,6,7]=>010000 [1,3,4,5,2,7,6]=>010001 [1,3,4,5,6,2,7]=>010000 [1,3,4,5,6,7,2]=>010000 [1,3,4,5,7,2,6]=>010000 [1,3,4,5,7,6,2]=>010001 [1,3,4,6,2,5,7]=>010000 [1,3,4,6,2,7,5]=>010010 [1,3,4,6,5,2,7]=>010010 [1,3,4,6,5,7,2]=>010010 [1,3,4,6,7,2,5]=>010000 [1,3,4,6,7,5,2]=>010010 [1,3,4,7,2,5,6]=>010000 [1,3,4,7,2,6,5]=>010010 [1,3,4,7,5,2,6]=>010010 [1,3,4,7,5,6,2]=>010010 [1,3,4,7,6,2,5]=>010001 [1,3,4,7,6,5,2]=>010011 [1,3,5,2,4,6,7]=>010000 [1,3,5,2,4,7,6]=>010001 [1,3,5,2,6,4,7]=>010100 [1,3,5,2,6,7,4]=>010100 [1,3,5,2,7,4,6]=>010100 [1,3,5,2,7,6,4]=>010101 [1,3,5,4,2,6,7]=>010100 [1,3,5,4,2,7,6]=>010101 [1,3,5,4,6,2,7]=>010100 [1,3,5,4,6,7,2]=>010100 [1,3,5,4,7,2,6]=>010100 [1,3,5,4,7,6,2]=>010101 [1,3,5,6,2,4,7]=>010000 [1,3,5,6,2,7,4]=>010100 [1,3,5,6,4,2,7]=>010100 [1,3,5,6,4,7,2]=>010100 [1,3,5,6,7,2,4]=>010000 [1,3,5,6,7,4,2]=>010100 [1,3,5,7,2,4,6]=>010000 [1,3,5,7,2,6,4]=>010100 [1,3,5,7,4,2,6]=>010100 [1,3,5,7,4,6,2]=>010100 [1,3,5,7,6,2,4]=>010001 [1,3,5,7,6,4,2]=>010101 [1,3,6,2,4,5,7]=>010000 [1,3,6,2,4,7,5]=>010010 [1,3,6,2,5,4,7]=>010100 [1,3,6,2,5,7,4]=>010100 [1,3,6,2,7,4,5]=>010100 [1,3,6,2,7,5,4]=>010110 [1,3,6,4,2,5,7]=>010100 [1,3,6,4,2,7,5]=>010110 [1,3,6,4,5,2,7]=>010100 [1,3,6,4,5,7,2]=>010100 [1,3,6,4,7,2,5]=>010100 [1,3,6,4,7,5,2]=>010110 [1,3,6,5,2,4,7]=>010010 [1,3,6,5,2,7,4]=>010110 [1,3,6,5,4,2,7]=>010110 [1,3,6,5,4,7,2]=>010110 [1,3,6,5,7,2,4]=>010010 [1,3,6,5,7,4,2]=>010110 [1,3,6,7,2,4,5]=>010000 [1,3,6,7,2,5,4]=>010100 [1,3,6,7,4,2,5]=>010100 [1,3,6,7,4,5,2]=>010100 [1,3,6,7,5,2,4]=>010010 [1,3,6,7,5,4,2]=>010110 [1,3,7,2,4,5,6]=>010000 [1,3,7,2,4,6,5]=>010010 [1,3,7,2,5,4,6]=>010100 [1,3,7,2,5,6,4]=>010100 [1,3,7,2,6,4,5]=>010100 [1,3,7,2,6,5,4]=>010110 [1,3,7,4,2,5,6]=>010100 [1,3,7,4,2,6,5]=>010110 [1,3,7,4,5,2,6]=>010100 [1,3,7,4,5,6,2]=>010100 [1,3,7,4,6,2,5]=>010100 [1,3,7,4,6,5,2]=>010110 [1,3,7,5,2,4,6]=>010010 [1,3,7,5,2,6,4]=>010110 [1,3,7,5,4,2,6]=>010110 [1,3,7,5,4,6,2]=>010110 [1,3,7,5,6,2,4]=>010010 [1,3,7,5,6,4,2]=>010110 [1,3,7,6,2,4,5]=>010001 [1,3,7,6,2,5,4]=>010101 [1,3,7,6,4,2,5]=>010101 [1,3,7,6,4,5,2]=>010101 [1,3,7,6,5,2,4]=>010011 [1,3,7,6,5,4,2]=>010111 [1,4,2,3,5,6,7]=>010000 [1,4,2,3,5,7,6]=>010001 [1,4,2,3,6,5,7]=>010010 [1,4,2,3,6,7,5]=>010010 [1,4,2,3,7,5,6]=>010010 [1,4,2,3,7,6,5]=>010011 [1,4,2,5,3,6,7]=>011000 [1,4,2,5,3,7,6]=>011001 [1,4,2,5,6,3,7]=>011000 [1,4,2,5,6,7,3]=>011000 [1,4,2,5,7,3,6]=>011000 [1,4,2,5,7,6,3]=>011001 [1,4,2,6,3,5,7]=>011000 [1,4,2,6,3,7,5]=>011010 [1,4,2,6,5,3,7]=>011010 [1,4,2,6,5,7,3]=>011010 [1,4,2,6,7,3,5]=>011000 [1,4,2,6,7,5,3]=>011010 [1,4,2,7,3,5,6]=>011000 [1,4,2,7,3,6,5]=>011010 [1,4,2,7,5,3,6]=>011010 [1,4,2,7,5,6,3]=>011010 [1,4,2,7,6,3,5]=>011001 [1,4,2,7,6,5,3]=>011011 [1,4,3,2,5,6,7]=>011000 [1,4,3,2,5,7,6]=>011001 [1,4,3,2,6,5,7]=>011010 [1,4,3,2,6,7,5]=>011010 [1,4,3,2,7,5,6]=>011010 [1,4,3,2,7,6,5]=>011011 [1,4,3,5,2,6,7]=>011000 [1,4,3,5,2,7,6]=>011001 [1,4,3,5,6,2,7]=>011000 [1,4,3,5,6,7,2]=>011000 [1,4,3,5,7,2,6]=>011000 [1,4,3,5,7,6,2]=>011001 [1,4,3,6,2,5,7]=>011000 [1,4,3,6,2,7,5]=>011010 [1,4,3,6,5,2,7]=>011010 [1,4,3,6,5,7,2]=>011010 [1,4,3,6,7,2,5]=>011000 [1,4,3,6,7,5,2]=>011010 [1,4,3,7,2,5,6]=>011000 [1,4,3,7,2,6,5]=>011010 [1,4,3,7,5,2,6]=>011010 [1,4,3,7,5,6,2]=>011010 [1,4,3,7,6,2,5]=>011001 [1,4,3,7,6,5,2]=>011011 [1,4,5,2,3,6,7]=>010000 [1,4,5,2,3,7,6]=>010001 [1,4,5,2,6,3,7]=>011000 [1,4,5,2,6,7,3]=>011000 [1,4,5,2,7,3,6]=>011000 [1,4,5,2,7,6,3]=>011001 [1,4,5,3,2,6,7]=>011000 [1,4,5,3,2,7,6]=>011001 [1,4,5,3,6,2,7]=>011000 [1,4,5,3,6,7,2]=>011000 [1,4,5,3,7,2,6]=>011000 [1,4,5,3,7,6,2]=>011001 [1,4,5,6,2,3,7]=>010000 [1,4,5,6,2,7,3]=>011000 [1,4,5,6,3,2,7]=>011000 [1,4,5,6,3,7,2]=>011000 [1,4,5,6,7,2,3]=>010000 [1,4,5,6,7,3,2]=>011000 [1,4,5,7,2,3,6]=>010000 [1,4,5,7,2,6,3]=>011000 [1,4,5,7,3,2,6]=>011000 [1,4,5,7,3,6,2]=>011000 [1,4,5,7,6,2,3]=>010001 [1,4,5,7,6,3,2]=>011001 [1,4,6,2,3,5,7]=>010000 [1,4,6,2,3,7,5]=>010010 [1,4,6,2,5,3,7]=>011000 [1,4,6,2,5,7,3]=>011000 [1,4,6,2,7,3,5]=>011000 [1,4,6,2,7,5,3]=>011010 [1,4,6,3,2,5,7]=>011000 [1,4,6,3,2,7,5]=>011010 [1,4,6,3,5,2,7]=>011000 [1,4,6,3,5,7,2]=>011000 [1,4,6,3,7,2,5]=>011000 [1,4,6,3,7,5,2]=>011010 [1,4,6,5,2,3,7]=>010010 [1,4,6,5,2,7,3]=>011010 [1,4,6,5,3,2,7]=>011010 [1,4,6,5,3,7,2]=>011010 [1,4,6,5,7,2,3]=>010010 [1,4,6,5,7,3,2]=>011010 [1,4,6,7,2,3,5]=>010000 [1,4,6,7,2,5,3]=>011000 [1,4,6,7,3,2,5]=>011000 [1,4,6,7,3,5,2]=>011000 [1,4,6,7,5,2,3]=>010010 [1,4,6,7,5,3,2]=>011010 [1,4,7,2,3,5,6]=>010000 [1,4,7,2,3,6,5]=>010010 [1,4,7,2,5,3,6]=>011000 [1,4,7,2,5,6,3]=>011000 [1,4,7,2,6,3,5]=>011000 [1,4,7,2,6,5,3]=>011010 [1,4,7,3,2,5,6]=>011000 [1,4,7,3,2,6,5]=>011010 [1,4,7,3,5,2,6]=>011000 [1,4,7,3,5,6,2]=>011000 [1,4,7,3,6,2,5]=>011000 [1,4,7,3,6,5,2]=>011010 [1,4,7,5,2,3,6]=>010010 [1,4,7,5,2,6,3]=>011010 [1,4,7,5,3,2,6]=>011010 [1,4,7,5,3,6,2]=>011010 [1,4,7,5,6,2,3]=>010010 [1,4,7,5,6,3,2]=>011010 [1,4,7,6,2,3,5]=>010001 [1,4,7,6,2,5,3]=>011001 [1,4,7,6,3,2,5]=>011001 [1,4,7,6,3,5,2]=>011001 [1,4,7,6,5,2,3]=>010011 [1,4,7,6,5,3,2]=>011011 [1,5,2,3,4,6,7]=>010000 [1,5,2,3,4,7,6]=>010001 [1,5,2,3,6,4,7]=>010100 [1,5,2,3,6,7,4]=>010100 [1,5,2,3,7,4,6]=>010100 [1,5,2,3,7,6,4]=>010101 [1,5,2,4,3,6,7]=>011000 [1,5,2,4,3,7,6]=>011001 [1,5,2,4,6,3,7]=>011000 [1,5,2,4,6,7,3]=>011000 [1,5,2,4,7,3,6]=>011000 [1,5,2,4,7,6,3]=>011001 [1,5,2,6,3,4,7]=>011000 [1,5,2,6,3,7,4]=>011100 [1,5,2,6,4,3,7]=>011100 [1,5,2,6,4,7,3]=>011100 [1,5,2,6,7,3,4]=>011000 [1,5,2,6,7,4,3]=>011100 [1,5,2,7,3,4,6]=>011000 [1,5,2,7,3,6,4]=>011100 [1,5,2,7,4,3,6]=>011100 [1,5,2,7,4,6,3]=>011100 [1,5,2,7,6,3,4]=>011001 [1,5,2,7,6,4,3]=>011101 [1,5,3,2,4,6,7]=>011000 [1,5,3,2,4,7,6]=>011001 [1,5,3,2,6,4,7]=>011100 [1,5,3,2,6,7,4]=>011100 [1,5,3,2,7,4,6]=>011100 [1,5,3,2,7,6,4]=>011101 [1,5,3,4,2,6,7]=>011000 [1,5,3,4,2,7,6]=>011001 [1,5,3,4,6,2,7]=>011000 [1,5,3,4,6,7,2]=>011000 [1,5,3,4,7,2,6]=>011000 [1,5,3,4,7,6,2]=>011001 [1,5,3,6,2,4,7]=>011000 [1,5,3,6,2,7,4]=>011100 [1,5,3,6,4,2,7]=>011100 [1,5,3,6,4,7,2]=>011100 [1,5,3,6,7,2,4]=>011000 [1,5,3,6,7,4,2]=>011100 [1,5,3,7,2,4,6]=>011000 [1,5,3,7,2,6,4]=>011100 [1,5,3,7,4,2,6]=>011100 [1,5,3,7,4,6,2]=>011100 [1,5,3,7,6,2,4]=>011001 [1,5,3,7,6,4,2]=>011101 [1,5,4,2,3,6,7]=>010100 [1,5,4,2,3,7,6]=>010101 [1,5,4,2,6,3,7]=>011100 [1,5,4,2,6,7,3]=>011100 [1,5,4,2,7,3,6]=>011100 [1,5,4,2,7,6,3]=>011101 [1,5,4,3,2,6,7]=>011100 [1,5,4,3,2,7,6]=>011101 [1,5,4,3,6,2,7]=>011100 [1,5,4,3,6,7,2]=>011100 [1,5,4,3,7,2,6]=>011100 [1,5,4,3,7,6,2]=>011101 [1,5,4,6,2,3,7]=>010100 [1,5,4,6,2,7,3]=>011100 [1,5,4,6,3,2,7]=>011100 [1,5,4,6,3,7,2]=>011100 [1,5,4,6,7,2,3]=>010100 [1,5,4,6,7,3,2]=>011100 [1,5,4,7,2,3,6]=>010100 [1,5,4,7,2,6,3]=>011100 [1,5,4,7,3,2,6]=>011100 [1,5,4,7,3,6,2]=>011100 [1,5,4,7,6,2,3]=>010101 [1,5,4,7,6,3,2]=>011101 [1,5,6,2,3,4,7]=>010000 [1,5,6,2,3,7,4]=>010100 [1,5,6,2,4,3,7]=>011000 [1,5,6,2,4,7,3]=>011000 [1,5,6,2,7,3,4]=>011000 [1,5,6,2,7,4,3]=>011100 [1,5,6,3,2,4,7]=>011000 [1,5,6,3,2,7,4]=>011100 [1,5,6,3,4,2,7]=>011000 [1,5,6,3,4,7,2]=>011000 [1,5,6,3,7,2,4]=>011000 [1,5,6,3,7,4,2]=>011100 [1,5,6,4,2,3,7]=>010100 [1,5,6,4,2,7,3]=>011100 [1,5,6,4,3,2,7]=>011100 [1,5,6,4,3,7,2]=>011100 [1,5,6,4,7,2,3]=>010100 [1,5,6,4,7,3,2]=>011100 [1,5,6,7,2,3,4]=>010000 [1,5,6,7,2,4,3]=>011000 [1,5,6,7,3,2,4]=>011000 [1,5,6,7,3,4,2]=>011000 [1,5,6,7,4,2,3]=>010100 [1,5,6,7,4,3,2]=>011100 [1,5,7,2,3,4,6]=>010000 [1,5,7,2,3,6,4]=>010100 [1,5,7,2,4,3,6]=>011000 [1,5,7,2,4,6,3]=>011000 [1,5,7,2,6,3,4]=>011000 [1,5,7,2,6,4,3]=>011100 [1,5,7,3,2,4,6]=>011000 [1,5,7,3,2,6,4]=>011100 [1,5,7,3,4,2,6]=>011000 [1,5,7,3,4,6,2]=>011000 [1,5,7,3,6,2,4]=>011000 [1,5,7,3,6,4,2]=>011100 [1,5,7,4,2,3,6]=>010100 [1,5,7,4,2,6,3]=>011100 [1,5,7,4,3,2,6]=>011100 [1,5,7,4,3,6,2]=>011100 [1,5,7,4,6,2,3]=>010100 [1,5,7,4,6,3,2]=>011100 [1,5,7,6,2,3,4]=>010001 [1,5,7,6,2,4,3]=>011001 [1,5,7,6,3,2,4]=>011001 [1,5,7,6,3,4,2]=>011001 [1,5,7,6,4,2,3]=>010101 [1,5,7,6,4,3,2]=>011101 [1,6,2,3,4,5,7]=>010000 [1,6,2,3,4,7,5]=>010010 [1,6,2,3,5,4,7]=>010100 [1,6,2,3,5,7,4]=>010100 [1,6,2,3,7,4,5]=>010100 [1,6,2,3,7,5,4]=>010110 [1,6,2,4,3,5,7]=>011000 [1,6,2,4,3,7,5]=>011010 [1,6,2,4,5,3,7]=>011000 [1,6,2,4,5,7,3]=>011000 [1,6,2,4,7,3,5]=>011000 [1,6,2,4,7,5,3]=>011010 [1,6,2,5,3,4,7]=>011000 [1,6,2,5,3,7,4]=>011100 [1,6,2,5,4,3,7]=>011100 [1,6,2,5,4,7,3]=>011100 [1,6,2,5,7,3,4]=>011000 [1,6,2,5,7,4,3]=>011100 [1,6,2,7,3,4,5]=>011000 [1,6,2,7,3,5,4]=>011100 [1,6,2,7,4,3,5]=>011100 [1,6,2,7,4,5,3]=>011100 [1,6,2,7,5,3,4]=>011010 [1,6,2,7,5,4,3]=>011110 [1,6,3,2,4,5,7]=>011000 [1,6,3,2,4,7,5]=>011010 [1,6,3,2,5,4,7]=>011100 [1,6,3,2,5,7,4]=>011100 [1,6,3,2,7,4,5]=>011100 [1,6,3,2,7,5,4]=>011110 [1,6,3,4,2,5,7]=>011000 [1,6,3,4,2,7,5]=>011010 [1,6,3,4,5,2,7]=>011000 [1,6,3,4,5,7,2]=>011000 [1,6,3,4,7,2,5]=>011000 [1,6,3,4,7,5,2]=>011010 [1,6,3,5,2,4,7]=>011000 [1,6,3,5,2,7,4]=>011100 [1,6,3,5,4,2,7]=>011100 [1,6,3,5,4,7,2]=>011100 [1,6,3,5,7,2,4]=>011000 [1,6,3,5,7,4,2]=>011100 [1,6,3,7,2,4,5]=>011000 [1,6,3,7,2,5,4]=>011100 [1,6,3,7,4,2,5]=>011100 [1,6,3,7,4,5,2]=>011100 [1,6,3,7,5,2,4]=>011010 [1,6,3,7,5,4,2]=>011110 [1,6,4,2,3,5,7]=>010100 [1,6,4,2,3,7,5]=>010110 [1,6,4,2,5,3,7]=>011100 [1,6,4,2,5,7,3]=>011100 [1,6,4,2,7,3,5]=>011100 [1,6,4,2,7,5,3]=>011110 [1,6,4,3,2,5,7]=>011100 [1,6,4,3,2,7,5]=>011110 [1,6,4,3,5,2,7]=>011100 [1,6,4,3,5,7,2]=>011100 [1,6,4,3,7,2,5]=>011100 [1,6,4,3,7,5,2]=>011110 [1,6,4,5,2,3,7]=>010100 [1,6,4,5,2,7,3]=>011100 [1,6,4,5,3,2,7]=>011100 [1,6,4,5,3,7,2]=>011100 [1,6,4,5,7,2,3]=>010100 [1,6,4,5,7,3,2]=>011100 [1,6,4,7,2,3,5]=>010100 [1,6,4,7,2,5,3]=>011100 [1,6,4,7,3,2,5]=>011100 [1,6,4,7,3,5,2]=>011100 [1,6,4,7,5,2,3]=>010110 [1,6,4,7,5,3,2]=>011110 [1,6,5,2,3,4,7]=>010010 [1,6,5,2,3,7,4]=>010110 [1,6,5,2,4,3,7]=>011010 [1,6,5,2,4,7,3]=>011010 [1,6,5,2,7,3,4]=>011010 [1,6,5,2,7,4,3]=>011110 [1,6,5,3,2,4,7]=>011010 [1,6,5,3,2,7,4]=>011110 [1,6,5,3,4,2,7]=>011010 [1,6,5,3,4,7,2]=>011010 [1,6,5,3,7,2,4]=>011010 [1,6,5,3,7,4,2]=>011110 [1,6,5,4,2,3,7]=>010110 [1,6,5,4,2,7,3]=>011110 [1,6,5,4,3,2,7]=>011110 [1,6,5,4,3,7,2]=>011110 [1,6,5,4,7,2,3]=>010110 [1,6,5,4,7,3,2]=>011110 [1,6,5,7,2,3,4]=>010010 [1,6,5,7,2,4,3]=>011010 [1,6,5,7,3,2,4]=>011010 [1,6,5,7,3,4,2]=>011010 [1,6,5,7,4,2,3]=>010110 [1,6,5,7,4,3,2]=>011110 [1,6,7,2,3,4,5]=>010000 [1,6,7,2,3,5,4]=>010100 [1,6,7,2,4,3,5]=>011000 [1,6,7,2,4,5,3]=>011000 [1,6,7,2,5,3,4]=>011000 [1,6,7,2,5,4,3]=>011100 [1,6,7,3,2,4,5]=>011000 [1,6,7,3,2,5,4]=>011100 [1,6,7,3,4,2,5]=>011000 [1,6,7,3,4,5,2]=>011000 [1,6,7,3,5,2,4]=>011000 [1,6,7,3,5,4,2]=>011100 [1,6,7,4,2,3,5]=>010100 [1,6,7,4,2,5,3]=>011100 [1,6,7,4,3,2,5]=>011100 [1,6,7,4,3,5,2]=>011100 [1,6,7,4,5,2,3]=>010100 [1,6,7,4,5,3,2]=>011100 [1,6,7,5,2,3,4]=>010010 [1,6,7,5,2,4,3]=>011010 [1,6,7,5,3,2,4]=>011010 [1,6,7,5,3,4,2]=>011010 [1,6,7,5,4,2,3]=>010110 [1,6,7,5,4,3,2]=>011110 [1,7,2,3,4,5,6]=>010000 [1,7,2,3,4,6,5]=>010010 [1,7,2,3,5,4,6]=>010100 [1,7,2,3,5,6,4]=>010100 [1,7,2,3,6,4,5]=>010100 [1,7,2,3,6,5,4]=>010110 [1,7,2,4,3,5,6]=>011000 [1,7,2,4,3,6,5]=>011010 [1,7,2,4,5,3,6]=>011000 [1,7,2,4,5,6,3]=>011000 [1,7,2,4,6,3,5]=>011000 [1,7,2,4,6,5,3]=>011010 [1,7,2,5,3,4,6]=>011000 [1,7,2,5,3,6,4]=>011100 [1,7,2,5,4,3,6]=>011100 [1,7,2,5,4,6,3]=>011100 [1,7,2,5,6,3,4]=>011000 [1,7,2,5,6,4,3]=>011100 [1,7,2,6,3,4,5]=>011000 [1,7,2,6,3,5,4]=>011100 [1,7,2,6,4,3,5]=>011100 [1,7,2,6,4,5,3]=>011100 [1,7,2,6,5,3,4]=>011010 [1,7,2,6,5,4,3]=>011110 [1,7,3,2,4,5,6]=>011000 [1,7,3,2,4,6,5]=>011010 [1,7,3,2,5,4,6]=>011100 [1,7,3,2,5,6,4]=>011100 [1,7,3,2,6,4,5]=>011100 [1,7,3,2,6,5,4]=>011110 [1,7,3,4,2,5,6]=>011000 [1,7,3,4,2,6,5]=>011010 [1,7,3,4,5,2,6]=>011000 [1,7,3,4,5,6,2]=>011000 [1,7,3,4,6,2,5]=>011000 [1,7,3,4,6,5,2]=>011010 [1,7,3,5,2,4,6]=>011000 [1,7,3,5,2,6,4]=>011100 [1,7,3,5,4,2,6]=>011100 [1,7,3,5,4,6,2]=>011100 [1,7,3,5,6,2,4]=>011000 [1,7,3,5,6,4,2]=>011100 [1,7,3,6,2,4,5]=>011000 [1,7,3,6,2,5,4]=>011100 [1,7,3,6,4,2,5]=>011100 [1,7,3,6,4,5,2]=>011100 [1,7,3,6,5,2,4]=>011010 [1,7,3,6,5,4,2]=>011110 [1,7,4,2,3,5,6]=>010100 [1,7,4,2,3,6,5]=>010110 [1,7,4,2,5,3,6]=>011100 [1,7,4,2,5,6,3]=>011100 [1,7,4,2,6,3,5]=>011100 [1,7,4,2,6,5,3]=>011110 [1,7,4,3,2,5,6]=>011100 [1,7,4,3,2,6,5]=>011110 [1,7,4,3,5,2,6]=>011100 [1,7,4,3,5,6,2]=>011100 [1,7,4,3,6,2,5]=>011100 [1,7,4,3,6,5,2]=>011110 [1,7,4,5,2,3,6]=>010100 [1,7,4,5,2,6,3]=>011100 [1,7,4,5,3,2,6]=>011100 [1,7,4,5,3,6,2]=>011100 [1,7,4,5,6,2,3]=>010100 [1,7,4,5,6,3,2]=>011100 [1,7,4,6,2,3,5]=>010100 [1,7,4,6,2,5,3]=>011100 [1,7,4,6,3,2,5]=>011100 [1,7,4,6,3,5,2]=>011100 [1,7,4,6,5,2,3]=>010110 [1,7,4,6,5,3,2]=>011110 [1,7,5,2,3,4,6]=>010010 [1,7,5,2,3,6,4]=>010110 [1,7,5,2,4,3,6]=>011010 [1,7,5,2,4,6,3]=>011010 [1,7,5,2,6,3,4]=>011010 [1,7,5,2,6,4,3]=>011110 [1,7,5,3,2,4,6]=>011010 [1,7,5,3,2,6,4]=>011110 [1,7,5,3,4,2,6]=>011010 [1,7,5,3,4,6,2]=>011010 [1,7,5,3,6,2,4]=>011010 [1,7,5,3,6,4,2]=>011110 [1,7,5,4,2,3,6]=>010110 [1,7,5,4,2,6,3]=>011110 [1,7,5,4,3,2,6]=>011110 [1,7,5,4,3,6,2]=>011110 [1,7,5,4,6,2,3]=>010110 [1,7,5,4,6,3,2]=>011110 [1,7,5,6,2,3,4]=>010010 [1,7,5,6,2,4,3]=>011010 [1,7,5,6,3,2,4]=>011010 [1,7,5,6,3,4,2]=>011010 [1,7,5,6,4,2,3]=>010110 [1,7,5,6,4,3,2]=>011110 [1,7,6,2,3,4,5]=>010001 [1,7,6,2,3,5,4]=>010101 [1,7,6,2,4,3,5]=>011001 [1,7,6,2,4,5,3]=>011001 [1,7,6,2,5,3,4]=>011001 [1,7,6,2,5,4,3]=>011101 [1,7,6,3,2,4,5]=>011001 [1,7,6,3,2,5,4]=>011101 [1,7,6,3,4,2,5]=>011001 [1,7,6,3,4,5,2]=>011001 [1,7,6,3,5,2,4]=>011001 [1,7,6,3,5,4,2]=>011101 [1,7,6,4,2,3,5]=>010101 [1,7,6,4,2,5,3]=>011101 [1,7,6,4,3,2,5]=>011101 [1,7,6,4,3,5,2]=>011101 [1,7,6,4,5,2,3]=>010101 [1,7,6,4,5,3,2]=>011101 [1,7,6,5,2,3,4]=>010011 [1,7,6,5,2,4,3]=>011011 [1,7,6,5,3,2,4]=>011011 [1,7,6,5,3,4,2]=>011011 [1,7,6,5,4,2,3]=>010111 [1,7,6,5,4,3,2]=>011111 [2,1,3,4,5,6,7]=>100000 [2,1,3,4,5,7,6]=>100001 [2,1,3,4,6,5,7]=>100010 [2,1,3,4,6,7,5]=>100010 [2,1,3,4,7,5,6]=>100010 [2,1,3,4,7,6,5]=>100011 [2,1,3,5,4,6,7]=>100100 [2,1,3,5,4,7,6]=>100101 [2,1,3,5,6,4,7]=>100100 [2,1,3,5,6,7,4]=>100100 [2,1,3,5,7,4,6]=>100100 [2,1,3,5,7,6,4]=>100101 [2,1,3,6,4,5,7]=>100100 [2,1,3,6,4,7,5]=>100110 [2,1,3,6,5,4,7]=>100110 [2,1,3,6,5,7,4]=>100110 [2,1,3,6,7,4,5]=>100100 [2,1,3,6,7,5,4]=>100110 [2,1,3,7,4,5,6]=>100100 [2,1,3,7,4,6,5]=>100110 [2,1,3,7,5,4,6]=>100110 [2,1,3,7,5,6,4]=>100110 [2,1,3,7,6,4,5]=>100101 [2,1,3,7,6,5,4]=>100111 [2,1,4,3,5,6,7]=>101000 [2,1,4,3,5,7,6]=>101001 [2,1,4,3,6,5,7]=>101010 [2,1,4,3,6,7,5]=>101010 [2,1,4,3,7,5,6]=>101010 [2,1,4,3,7,6,5]=>101011 [2,1,4,5,3,6,7]=>101000 [2,1,4,5,3,7,6]=>101001 [2,1,4,5,6,3,7]=>101000 [2,1,4,5,6,7,3]=>101000 [2,1,4,5,7,3,6]=>101000 [2,1,4,5,7,6,3]=>101001 [2,1,4,6,3,5,7]=>101000 [2,1,4,6,3,7,5]=>101010 [2,1,4,6,5,3,7]=>101010 [2,1,4,6,5,7,3]=>101010 [2,1,4,6,7,3,5]=>101000 [2,1,4,6,7,5,3]=>101010 [2,1,4,7,3,5,6]=>101000 [2,1,4,7,3,6,5]=>101010 [2,1,4,7,5,3,6]=>101010 [2,1,4,7,5,6,3]=>101010 [2,1,4,7,6,3,5]=>101001 [2,1,4,7,6,5,3]=>101011 [2,1,5,3,4,6,7]=>101000 [2,1,5,3,4,7,6]=>101001 [2,1,5,3,6,4,7]=>101100 [2,1,5,3,6,7,4]=>101100 [2,1,5,3,7,4,6]=>101100 [2,1,5,3,7,6,4]=>101101 [2,1,5,4,3,6,7]=>101100 [2,1,5,4,3,7,6]=>101101 [2,1,5,4,6,3,7]=>101100 [2,1,5,4,6,7,3]=>101100 [2,1,5,4,7,3,6]=>101100 [2,1,5,4,7,6,3]=>101101 [2,1,5,6,3,4,7]=>101000 [2,1,5,6,3,7,4]=>101100 [2,1,5,6,4,3,7]=>101100 [2,1,5,6,4,7,3]=>101100 [2,1,5,6,7,3,4]=>101000 [2,1,5,6,7,4,3]=>101100 [2,1,5,7,3,4,6]=>101000 [2,1,5,7,3,6,4]=>101100 [2,1,5,7,4,3,6]=>101100 [2,1,5,7,4,6,3]=>101100 [2,1,5,7,6,3,4]=>101001 [2,1,5,7,6,4,3]=>101101 [2,1,6,3,4,5,7]=>101000 [2,1,6,3,4,7,5]=>101010 [2,1,6,3,5,4,7]=>101100 [2,1,6,3,5,7,4]=>101100 [2,1,6,3,7,4,5]=>101100 [2,1,6,3,7,5,4]=>101110 [2,1,6,4,3,5,7]=>101100 [2,1,6,4,3,7,5]=>101110 [2,1,6,4,5,3,7]=>101100 [2,1,6,4,5,7,3]=>101100 [2,1,6,4,7,3,5]=>101100 [2,1,6,4,7,5,3]=>101110 [2,1,6,5,3,4,7]=>101010 [2,1,6,5,3,7,4]=>101110 [2,1,6,5,4,3,7]=>101110 [2,1,6,5,4,7,3]=>101110 [2,1,6,5,7,3,4]=>101010 [2,1,6,5,7,4,3]=>101110 [2,1,6,7,3,4,5]=>101000 [2,1,6,7,3,5,4]=>101100 [2,1,6,7,4,3,5]=>101100 [2,1,6,7,4,5,3]=>101100 [2,1,6,7,5,3,4]=>101010 [2,1,6,7,5,4,3]=>101110 [2,1,7,3,4,5,6]=>101000 [2,1,7,3,4,6,5]=>101010 [2,1,7,3,5,4,6]=>101100 [2,1,7,3,5,6,4]=>101100 [2,1,7,3,6,4,5]=>101100 [2,1,7,3,6,5,4]=>101110 [2,1,7,4,3,5,6]=>101100 [2,1,7,4,3,6,5]=>101110 [2,1,7,4,5,3,6]=>101100 [2,1,7,4,5,6,3]=>101100 [2,1,7,4,6,3,5]=>101100 [2,1,7,4,6,5,3]=>101110 [2,1,7,5,3,4,6]=>101010 [2,1,7,5,3,6,4]=>101110 [2,1,7,5,4,3,6]=>101110 [2,1,7,5,4,6,3]=>101110 [2,1,7,5,6,3,4]=>101010 [2,1,7,5,6,4,3]=>101110 [2,1,7,6,3,4,5]=>101001 [2,1,7,6,3,5,4]=>101101 [2,1,7,6,4,3,5]=>101101 [2,1,7,6,4,5,3]=>101101 [2,1,7,6,5,3,4]=>101011 [2,1,7,6,5,4,3]=>101111 [2,3,1,4,5,6,7]=>100000 [2,3,1,4,5,7,6]=>100001 [2,3,1,4,6,5,7]=>100010 [2,3,1,4,6,7,5]=>100010 [2,3,1,4,7,5,6]=>100010 [2,3,1,4,7,6,5]=>100011 [2,3,1,5,4,6,7]=>100100 [2,3,1,5,4,7,6]=>100101 [2,3,1,5,6,4,7]=>100100 [2,3,1,5,6,7,4]=>100100 [2,3,1,5,7,4,6]=>100100 [2,3,1,5,7,6,4]=>100101 [2,3,1,6,4,5,7]=>100100 [2,3,1,6,4,7,5]=>100110 [2,3,1,6,5,4,7]=>100110 [2,3,1,6,5,7,4]=>100110 [2,3,1,6,7,4,5]=>100100 [2,3,1,6,7,5,4]=>100110 [2,3,1,7,4,5,6]=>100100 [2,3,1,7,4,6,5]=>100110 [2,3,1,7,5,4,6]=>100110 [2,3,1,7,5,6,4]=>100110 [2,3,1,7,6,4,5]=>100101 [2,3,1,7,6,5,4]=>100111 [2,3,4,1,5,6,7]=>100000 [2,3,4,1,5,7,6]=>100001 [2,3,4,1,6,5,7]=>100010 [2,3,4,1,6,7,5]=>100010 [2,3,4,1,7,5,6]=>100010 [2,3,4,1,7,6,5]=>100011 [2,3,4,5,1,6,7]=>100000 [2,3,4,5,1,7,6]=>100001 [2,3,4,5,6,1,7]=>100000 [2,3,4,5,6,7,1]=>100000 [2,3,4,5,7,1,6]=>100000 [2,3,4,5,7,6,1]=>100001 [2,3,4,6,1,5,7]=>100000 [2,3,4,6,1,7,5]=>100010 [2,3,4,6,5,1,7]=>100010 [2,3,4,6,5,7,1]=>100010 [2,3,4,6,7,1,5]=>100000 [2,3,4,6,7,5,1]=>100010 [2,3,4,7,1,5,6]=>100000 [2,3,4,7,1,6,5]=>100010 [2,3,4,7,5,1,6]=>100010 [2,3,4,7,5,6,1]=>100010 [2,3,4,7,6,1,5]=>100001 [2,3,4,7,6,5,1]=>100011 [2,3,5,1,4,6,7]=>100000 [2,3,5,1,4,7,6]=>100001 [2,3,5,1,6,4,7]=>100100 [2,3,5,1,6,7,4]=>100100 [2,3,5,1,7,4,6]=>100100 [2,3,5,1,7,6,4]=>100101 [2,3,5,4,1,6,7]=>100100 [2,3,5,4,1,7,6]=>100101 [2,3,5,4,6,1,7]=>100100 [2,3,5,4,6,7,1]=>100100 [2,3,5,4,7,1,6]=>100100 [2,3,5,4,7,6,1]=>100101 [2,3,5,6,1,4,7]=>100000 [2,3,5,6,1,7,4]=>100100 [2,3,5,6,4,1,7]=>100100 [2,3,5,6,4,7,1]=>100100 [2,3,5,6,7,1,4]=>100000 [2,3,5,6,7,4,1]=>100100 [2,3,5,7,1,4,6]=>100000 [2,3,5,7,1,6,4]=>100100 [2,3,5,7,4,1,6]=>100100 [2,3,5,7,4,6,1]=>100100 [2,3,5,7,6,1,4]=>100001 [2,3,5,7,6,4,1]=>100101 [2,3,6,1,4,5,7]=>100000 [2,3,6,1,4,7,5]=>100010 [2,3,6,1,5,4,7]=>100100 [2,3,6,1,5,7,4]=>100100 [2,3,6,1,7,4,5]=>100100 [2,3,6,1,7,5,4]=>100110 [2,3,6,4,1,5,7]=>100100 [2,3,6,4,1,7,5]=>100110 [2,3,6,4,5,1,7]=>100100 [2,3,6,4,5,7,1]=>100100 [2,3,6,4,7,1,5]=>100100 [2,3,6,4,7,5,1]=>100110 [2,3,6,5,1,4,7]=>100010 [2,3,6,5,1,7,4]=>100110 [2,3,6,5,4,1,7]=>100110 [2,3,6,5,4,7,1]=>100110 [2,3,6,5,7,1,4]=>100010 [2,3,6,5,7,4,1]=>100110 [2,3,6,7,1,4,5]=>100000 [2,3,6,7,1,5,4]=>100100 [2,3,6,7,4,1,5]=>100100 [2,3,6,7,4,5,1]=>100100 [2,3,6,7,5,1,4]=>100010 [2,3,6,7,5,4,1]=>100110 [2,3,7,1,4,5,6]=>100000 [2,3,7,1,4,6,5]=>100010 [2,3,7,1,5,4,6]=>100100 [2,3,7,1,5,6,4]=>100100 [2,3,7,1,6,4,5]=>100100 [2,3,7,1,6,5,4]=>100110 [2,3,7,4,1,5,6]=>100100 [2,3,7,4,1,6,5]=>100110 [2,3,7,4,5,1,6]=>100100 [2,3,7,4,5,6,1]=>100100 [2,3,7,4,6,1,5]=>100100 [2,3,7,4,6,5,1]=>100110 [2,3,7,5,1,4,6]=>100010 [2,3,7,5,1,6,4]=>100110 [2,3,7,5,4,1,6]=>100110 [2,3,7,5,4,6,1]=>100110 [2,3,7,5,6,1,4]=>100010 [2,3,7,5,6,4,1]=>100110 [2,3,7,6,1,4,5]=>100001 [2,3,7,6,1,5,4]=>100101 [2,3,7,6,4,1,5]=>100101 [2,3,7,6,4,5,1]=>100101 [2,3,7,6,5,1,4]=>100011 [2,3,7,6,5,4,1]=>100111 [2,4,1,3,5,6,7]=>100000 [2,4,1,3,5,7,6]=>100001 [2,4,1,3,6,5,7]=>100010 [2,4,1,3,6,7,5]=>100010 [2,4,1,3,7,5,6]=>100010 [2,4,1,3,7,6,5]=>100011 [2,4,1,5,3,6,7]=>101000 [2,4,1,5,3,7,6]=>101001 [2,4,1,5,6,3,7]=>101000 [2,4,1,5,6,7,3]=>101000 [2,4,1,5,7,3,6]=>101000 [2,4,1,5,7,6,3]=>101001 [2,4,1,6,3,5,7]=>101000 [2,4,1,6,3,7,5]=>101010 [2,4,1,6,5,3,7]=>101010 [2,4,1,6,5,7,3]=>101010 [2,4,1,6,7,3,5]=>101000 [2,4,1,6,7,5,3]=>101010 [2,4,1,7,3,5,6]=>101000 [2,4,1,7,3,6,5]=>101010 [2,4,1,7,5,3,6]=>101010 [2,4,1,7,5,6,3]=>101010 [2,4,1,7,6,3,5]=>101001 [2,4,1,7,6,5,3]=>101011 [2,4,3,1,5,6,7]=>101000 [2,4,3,1,5,7,6]=>101001 [2,4,3,1,6,5,7]=>101010 [2,4,3,1,6,7,5]=>101010 [2,4,3,1,7,5,6]=>101010 [2,4,3,1,7,6,5]=>101011 [2,4,3,5,1,6,7]=>101000 [2,4,3,5,1,7,6]=>101001 [2,4,3,5,6,1,7]=>101000 [2,4,3,5,6,7,1]=>101000 [2,4,3,5,7,1,6]=>101000 [2,4,3,5,7,6,1]=>101001 [2,4,3,6,1,5,7]=>101000 [2,4,3,6,1,7,5]=>101010 [2,4,3,6,5,1,7]=>101010 [2,4,3,6,5,7,1]=>101010 [2,4,3,6,7,1,5]=>101000 [2,4,3,6,7,5,1]=>101010 [2,4,3,7,1,5,6]=>101000 [2,4,3,7,1,6,5]=>101010 [2,4,3,7,5,1,6]=>101010 [2,4,3,7,5,6,1]=>101010 [2,4,3,7,6,1,5]=>101001 [2,4,3,7,6,5,1]=>101011 [2,4,5,1,3,6,7]=>100000 [2,4,5,1,3,7,6]=>100001 [2,4,5,1,6,3,7]=>101000 [2,4,5,1,6,7,3]=>101000 [2,4,5,1,7,3,6]=>101000 [2,4,5,1,7,6,3]=>101001 [2,4,5,3,1,6,7]=>101000 [2,4,5,3,1,7,6]=>101001 [2,4,5,3,6,1,7]=>101000 [2,4,5,3,6,7,1]=>101000 [2,4,5,3,7,1,6]=>101000 [2,4,5,3,7,6,1]=>101001 [2,4,5,6,1,3,7]=>100000 [2,4,5,6,1,7,3]=>101000 [2,4,5,6,3,1,7]=>101000 [2,4,5,6,3,7,1]=>101000 [2,4,5,6,7,1,3]=>100000 [2,4,5,6,7,3,1]=>101000 [2,4,5,7,1,3,6]=>100000 [2,4,5,7,1,6,3]=>101000 [2,4,5,7,3,1,6]=>101000 [2,4,5,7,3,6,1]=>101000 [2,4,5,7,6,1,3]=>100001 [2,4,5,7,6,3,1]=>101001 [2,4,6,1,3,5,7]=>100000 [2,4,6,1,3,7,5]=>100010 [2,4,6,1,5,3,7]=>101000 [2,4,6,1,5,7,3]=>101000 [2,4,6,1,7,3,5]=>101000 [2,4,6,1,7,5,3]=>101010 [2,4,6,3,1,5,7]=>101000 [2,4,6,3,1,7,5]=>101010 [2,4,6,3,5,1,7]=>101000 [2,4,6,3,5,7,1]=>101000 [2,4,6,3,7,1,5]=>101000 [2,4,6,3,7,5,1]=>101010 [2,4,6,5,1,3,7]=>100010 [2,4,6,5,1,7,3]=>101010 [2,4,6,5,3,1,7]=>101010 [2,4,6,5,3,7,1]=>101010 [2,4,6,5,7,1,3]=>100010 [2,4,6,5,7,3,1]=>101010 [2,4,6,7,1,3,5]=>100000 [2,4,6,7,1,5,3]=>101000 [2,4,6,7,3,1,5]=>101000 [2,4,6,7,3,5,1]=>101000 [2,4,6,7,5,1,3]=>100010 [2,4,6,7,5,3,1]=>101010 [2,4,7,1,3,5,6]=>100000 [2,4,7,1,3,6,5]=>100010 [2,4,7,1,5,3,6]=>101000 [2,4,7,1,5,6,3]=>101000 [2,4,7,1,6,3,5]=>101000 [2,4,7,1,6,5,3]=>101010 [2,4,7,3,1,5,6]=>101000 [2,4,7,3,1,6,5]=>101010 [2,4,7,3,5,1,6]=>101000 [2,4,7,3,5,6,1]=>101000 [2,4,7,3,6,1,5]=>101000 [2,4,7,3,6,5,1]=>101010 [2,4,7,5,1,3,6]=>100010 [2,4,7,5,1,6,3]=>101010 [2,4,7,5,3,1,6]=>101010 [2,4,7,5,3,6,1]=>101010 [2,4,7,5,6,1,3]=>100010 [2,4,7,5,6,3,1]=>101010 [2,4,7,6,1,3,5]=>100001 [2,4,7,6,1,5,3]=>101001 [2,4,7,6,3,1,5]=>101001 [2,4,7,6,3,5,1]=>101001 [2,4,7,6,5,1,3]=>100011 [2,4,7,6,5,3,1]=>101011 [2,5,1,3,4,6,7]=>100000 [2,5,1,3,4,7,6]=>100001 [2,5,1,3,6,4,7]=>100100 [2,5,1,3,6,7,4]=>100100 [2,5,1,3,7,4,6]=>100100 [2,5,1,3,7,6,4]=>100101 [2,5,1,4,3,6,7]=>101000 [2,5,1,4,3,7,6]=>101001 [2,5,1,4,6,3,7]=>101000 [2,5,1,4,6,7,3]=>101000 [2,5,1,4,7,3,6]=>101000 [2,5,1,4,7,6,3]=>101001 [2,5,1,6,3,4,7]=>101000 [2,5,1,6,3,7,4]=>101100 [2,5,1,6,4,3,7]=>101100 [2,5,1,6,4,7,3]=>101100 [2,5,1,6,7,3,4]=>101000 [2,5,1,6,7,4,3]=>101100 [2,5,1,7,3,4,6]=>101000 [2,5,1,7,3,6,4]=>101100 [2,5,1,7,4,3,6]=>101100 [2,5,1,7,4,6,3]=>101100 [2,5,1,7,6,3,4]=>101001 [2,5,1,7,6,4,3]=>101101 [2,5,3,1,4,6,7]=>101000 [2,5,3,1,4,7,6]=>101001 [2,5,3,1,6,4,7]=>101100 [2,5,3,1,6,7,4]=>101100 [2,5,3,1,7,4,6]=>101100 [2,5,3,1,7,6,4]=>101101 [2,5,3,4,1,6,7]=>101000 [2,5,3,4,1,7,6]=>101001 [2,5,3,4,6,1,7]=>101000 [2,5,3,4,6,7,1]=>101000 [2,5,3,4,7,1,6]=>101000 [2,5,3,4,7,6,1]=>101001 [2,5,3,6,1,4,7]=>101000 [2,5,3,6,1,7,4]=>101100 [2,5,3,6,4,1,7]=>101100 [2,5,3,6,4,7,1]=>101100 [2,5,3,6,7,1,4]=>101000 [2,5,3,6,7,4,1]=>101100 [2,5,3,7,1,4,6]=>101000 [2,5,3,7,1,6,4]=>101100 [2,5,3,7,4,1,6]=>101100 [2,5,3,7,4,6,1]=>101100 [2,5,3,7,6,1,4]=>101001 [2,5,3,7,6,4,1]=>101101 [2,5,4,1,3,6,7]=>100100 [2,5,4,1,3,7,6]=>100101 [2,5,4,1,6,3,7]=>101100 [2,5,4,1,6,7,3]=>101100 [2,5,4,1,7,3,6]=>101100 [2,5,4,1,7,6,3]=>101101 [2,5,4,3,1,6,7]=>101100 [2,5,4,3,1,7,6]=>101101 [2,5,4,3,6,1,7]=>101100 [2,5,4,3,6,7,1]=>101100 [2,5,4,3,7,1,6]=>101100 [2,5,4,3,7,6,1]=>101101 [2,5,4,6,1,3,7]=>100100 [2,5,4,6,1,7,3]=>101100 [2,5,4,6,3,1,7]=>101100 [2,5,4,6,3,7,1]=>101100 [2,5,4,6,7,1,3]=>100100 [2,5,4,6,7,3,1]=>101100 [2,5,4,7,1,3,6]=>100100 [2,5,4,7,1,6,3]=>101100 [2,5,4,7,3,1,6]=>101100 [2,5,4,7,3,6,1]=>101100 [2,5,4,7,6,1,3]=>100101 [2,5,4,7,6,3,1]=>101101 [2,5,6,1,3,4,7]=>100000 [2,5,6,1,3,7,4]=>100100 [2,5,6,1,4,3,7]=>101000 [2,5,6,1,4,7,3]=>101000 [2,5,6,1,7,3,4]=>101000 [2,5,6,1,7,4,3]=>101100 [2,5,6,3,1,4,7]=>101000 [2,5,6,3,1,7,4]=>101100 [2,5,6,3,4,1,7]=>101000 [2,5,6,3,4,7,1]=>101000 [2,5,6,3,7,1,4]=>101000 [2,5,6,3,7,4,1]=>101100 [2,5,6,4,1,3,7]=>100100 [2,5,6,4,1,7,3]=>101100 [2,5,6,4,3,1,7]=>101100 [2,5,6,4,3,7,1]=>101100 [2,5,6,4,7,1,3]=>100100 [2,5,6,4,7,3,1]=>101100 [2,5,6,7,1,3,4]=>100000 [2,5,6,7,1,4,3]=>101000 [2,5,6,7,3,1,4]=>101000 [2,5,6,7,3,4,1]=>101000 [2,5,6,7,4,1,3]=>100100 [2,5,6,7,4,3,1]=>101100 [2,5,7,1,3,4,6]=>100000 [2,5,7,1,3,6,4]=>100100 [2,5,7,1,4,3,6]=>101000 [2,5,7,1,4,6,3]=>101000 [2,5,7,1,6,3,4]=>101000 [2,5,7,1,6,4,3]=>101100 [2,5,7,3,1,4,6]=>101000 [2,5,7,3,1,6,4]=>101100 [2,5,7,3,4,1,6]=>101000 [2,5,7,3,4,6,1]=>101000 [2,5,7,3,6,1,4]=>101000 [2,5,7,3,6,4,1]=>101100 [2,5,7,4,1,3,6]=>100100 [2,5,7,4,1,6,3]=>101100 [2,5,7,4,3,1,6]=>101100 [2,5,7,4,3,6,1]=>101100 [2,5,7,4,6,1,3]=>100100 [2,5,7,4,6,3,1]=>101100 [2,5,7,6,1,3,4]=>100001 [2,5,7,6,1,4,3]=>101001 [2,5,7,6,3,1,4]=>101001 [2,5,7,6,3,4,1]=>101001 [2,5,7,6,4,1,3]=>100101 [2,5,7,6,4,3,1]=>101101 [2,6,1,3,4,5,7]=>100000 [2,6,1,3,4,7,5]=>100010 [2,6,1,3,5,4,7]=>100100 [2,6,1,3,5,7,4]=>100100 [2,6,1,3,7,4,5]=>100100 [2,6,1,3,7,5,4]=>100110 [2,6,1,4,3,5,7]=>101000 [2,6,1,4,3,7,5]=>101010 [2,6,1,4,5,3,7]=>101000 [2,6,1,4,5,7,3]=>101000 [2,6,1,4,7,3,5]=>101000 [2,6,1,4,7,5,3]=>101010 [2,6,1,5,3,4,7]=>101000 [2,6,1,5,3,7,4]=>101100 [2,6,1,5,4,3,7]=>101100 [2,6,1,5,4,7,3]=>101100 [2,6,1,5,7,3,4]=>101000 [2,6,1,5,7,4,3]=>101100 [2,6,1,7,3,4,5]=>101000 [2,6,1,7,3,5,4]=>101100 [2,6,1,7,4,3,5]=>101100 [2,6,1,7,4,5,3]=>101100 [2,6,1,7,5,3,4]=>101010 [2,6,1,7,5,4,3]=>101110 [2,6,3,1,4,5,7]=>101000 [2,6,3,1,4,7,5]=>101010 [2,6,3,1,5,4,7]=>101100 [2,6,3,1,5,7,4]=>101100 [2,6,3,1,7,4,5]=>101100 [2,6,3,1,7,5,4]=>101110 [2,6,3,4,1,5,7]=>101000 [2,6,3,4,1,7,5]=>101010 [2,6,3,4,5,1,7]=>101000 [2,6,3,4,5,7,1]=>101000 [2,6,3,4,7,1,5]=>101000 [2,6,3,4,7,5,1]=>101010 [2,6,3,5,1,4,7]=>101000 [2,6,3,5,1,7,4]=>101100 [2,6,3,5,4,1,7]=>101100 [2,6,3,5,4,7,1]=>101100 [2,6,3,5,7,1,4]=>101000 [2,6,3,5,7,4,1]=>101100 [2,6,3,7,1,4,5]=>101000 [2,6,3,7,1,5,4]=>101100 [2,6,3,7,4,1,5]=>101100 [2,6,3,7,4,5,1]=>101100 [2,6,3,7,5,1,4]=>101010 [2,6,3,7,5,4,1]=>101110 [2,6,4,1,3,5,7]=>100100 [2,6,4,1,3,7,5]=>100110 [2,6,4,1,5,3,7]=>101100 [2,6,4,1,5,7,3]=>101100 [2,6,4,1,7,3,5]=>101100 [2,6,4,1,7,5,3]=>101110 [2,6,4,3,1,5,7]=>101100 [2,6,4,3,1,7,5]=>101110 [2,6,4,3,5,1,7]=>101100 [2,6,4,3,5,7,1]=>101100 [2,6,4,3,7,1,5]=>101100 [2,6,4,3,7,5,1]=>101110 [2,6,4,5,1,3,7]=>100100 [2,6,4,5,1,7,3]=>101100 [2,6,4,5,3,1,7]=>101100 [2,6,4,5,3,7,1]=>101100 [2,6,4,5,7,1,3]=>100100 [2,6,4,5,7,3,1]=>101100 [2,6,4,7,1,3,5]=>100100 [2,6,4,7,1,5,3]=>101100 [2,6,4,7,3,1,5]=>101100 [2,6,4,7,3,5,1]=>101100 [2,6,4,7,5,1,3]=>100110 [2,6,4,7,5,3,1]=>101110 [2,6,5,1,3,4,7]=>100010 [2,6,5,1,3,7,4]=>100110 [2,6,5,1,4,3,7]=>101010 [2,6,5,1,4,7,3]=>101010 [2,6,5,1,7,3,4]=>101010 [2,6,5,1,7,4,3]=>101110 [2,6,5,3,1,4,7]=>101010 [2,6,5,3,1,7,4]=>101110 [2,6,5,3,4,1,7]=>101010 [2,6,5,3,4,7,1]=>101010 [2,6,5,3,7,1,4]=>101010 [2,6,5,3,7,4,1]=>101110 [2,6,5,4,1,3,7]=>100110 [2,6,5,4,1,7,3]=>101110 [2,6,5,4,3,1,7]=>101110 [2,6,5,4,3,7,1]=>101110 [2,6,5,4,7,1,3]=>100110 [2,6,5,4,7,3,1]=>101110 [2,6,5,7,1,3,4]=>100010 [2,6,5,7,1,4,3]=>101010 [2,6,5,7,3,1,4]=>101010 [2,6,5,7,3,4,1]=>101010 [2,6,5,7,4,1,3]=>100110 [2,6,5,7,4,3,1]=>101110 [2,6,7,1,3,4,5]=>100000 [2,6,7,1,3,5,4]=>100100 [2,6,7,1,4,3,5]=>101000 [2,6,7,1,4,5,3]=>101000 [2,6,7,1,5,3,4]=>101000 [2,6,7,1,5,4,3]=>101100 [2,6,7,3,1,4,5]=>101000 [2,6,7,3,1,5,4]=>101100 [2,6,7,3,4,1,5]=>101000 [2,6,7,3,4,5,1]=>101000 [2,6,7,3,5,1,4]=>101000 [2,6,7,3,5,4,1]=>101100 [2,6,7,4,1,3,5]=>100100 [2,6,7,4,1,5,3]=>101100 [2,6,7,4,3,1,5]=>101100 [2,6,7,4,3,5,1]=>101100 [2,6,7,4,5,1,3]=>100100 [2,6,7,4,5,3,1]=>101100 [2,6,7,5,1,3,4]=>100010 [2,6,7,5,1,4,3]=>101010 [2,6,7,5,3,1,4]=>101010 [2,6,7,5,3,4,1]=>101010 [2,6,7,5,4,1,3]=>100110 [2,6,7,5,4,3,1]=>101110 [2,7,1,3,4,5,6]=>100000 [2,7,1,3,4,6,5]=>100010 [2,7,1,3,5,4,6]=>100100 [2,7,1,3,5,6,4]=>100100 [2,7,1,3,6,4,5]=>100100 [2,7,1,3,6,5,4]=>100110 [2,7,1,4,3,5,6]=>101000 [2,7,1,4,3,6,5]=>101010 [2,7,1,4,5,3,6]=>101000 [2,7,1,4,5,6,3]=>101000 [2,7,1,4,6,3,5]=>101000 [2,7,1,4,6,5,3]=>101010 [2,7,1,5,3,4,6]=>101000 [2,7,1,5,3,6,4]=>101100 [2,7,1,5,4,3,6]=>101100 [2,7,1,5,4,6,3]=>101100 [2,7,1,5,6,3,4]=>101000 [2,7,1,5,6,4,3]=>101100 [2,7,1,6,3,4,5]=>101000 [2,7,1,6,3,5,4]=>101100 [2,7,1,6,4,3,5]=>101100 [2,7,1,6,4,5,3]=>101100 [2,7,1,6,5,3,4]=>101010 [2,7,1,6,5,4,3]=>101110 [2,7,3,1,4,5,6]=>101000 [2,7,3,1,4,6,5]=>101010 [2,7,3,1,5,4,6]=>101100 [2,7,3,1,5,6,4]=>101100 [2,7,3,1,6,4,5]=>101100 [2,7,3,1,6,5,4]=>101110 [2,7,3,4,1,5,6]=>101000 [2,7,3,4,1,6,5]=>101010 [2,7,3,4,5,1,6]=>101000 [2,7,3,4,5,6,1]=>101000 [2,7,3,4,6,1,5]=>101000 [2,7,3,4,6,5,1]=>101010 [2,7,3,5,1,4,6]=>101000 [2,7,3,5,1,6,4]=>101100 [2,7,3,5,4,1,6]=>101100 [2,7,3,5,4,6,1]=>101100 [2,7,3,5,6,1,4]=>101000 [2,7,3,5,6,4,1]=>101100 [2,7,3,6,1,4,5]=>101000 [2,7,3,6,1,5,4]=>101100 [2,7,3,6,4,1,5]=>101100 [2,7,3,6,4,5,1]=>101100 [2,7,3,6,5,1,4]=>101010 [2,7,3,6,5,4,1]=>101110 [2,7,4,1,3,5,6]=>100100 [2,7,4,1,3,6,5]=>100110 [2,7,4,1,5,3,6]=>101100 [2,7,4,1,5,6,3]=>101100 [2,7,4,1,6,3,5]=>101100 [2,7,4,1,6,5,3]=>101110 [2,7,4,3,1,5,6]=>101100 [2,7,4,3,1,6,5]=>101110 [2,7,4,3,5,1,6]=>101100 [2,7,4,3,5,6,1]=>101100 [2,7,4,3,6,1,5]=>101100 [2,7,4,3,6,5,1]=>101110 [2,7,4,5,1,3,6]=>100100 [2,7,4,5,1,6,3]=>101100 [2,7,4,5,3,1,6]=>101100 [2,7,4,5,3,6,1]=>101100 [2,7,4,5,6,1,3]=>100100 [2,7,4,5,6,3,1]=>101100 [2,7,4,6,1,3,5]=>100100 [2,7,4,6,1,5,3]=>101100 [2,7,4,6,3,1,5]=>101100 [2,7,4,6,3,5,1]=>101100 [2,7,4,6,5,1,3]=>100110 [2,7,4,6,5,3,1]=>101110 [2,7,5,1,3,4,6]=>100010 [2,7,5,1,3,6,4]=>100110 [2,7,5,1,4,3,6]=>101010 [2,7,5,1,4,6,3]=>101010 [2,7,5,1,6,3,4]=>101010 [2,7,5,1,6,4,3]=>101110 [2,7,5,3,1,4,6]=>101010 [2,7,5,3,1,6,4]=>101110 [2,7,5,3,4,1,6]=>101010 [2,7,5,3,4,6,1]=>101010 [2,7,5,3,6,1,4]=>101010 [2,7,5,3,6,4,1]=>101110 [2,7,5,4,1,3,6]=>100110 [2,7,5,4,1,6,3]=>101110 [2,7,5,4,3,1,6]=>101110 [2,7,5,4,3,6,1]=>101110 [2,7,5,4,6,1,3]=>100110 [2,7,5,4,6,3,1]=>101110 [2,7,5,6,1,3,4]=>100010 [2,7,5,6,1,4,3]=>101010 [2,7,5,6,3,1,4]=>101010 [2,7,5,6,3,4,1]=>101010 [2,7,5,6,4,1,3]=>100110 [2,7,5,6,4,3,1]=>101110 [2,7,6,1,3,4,5]=>100001 [2,7,6,1,3,5,4]=>100101 [2,7,6,1,4,3,5]=>101001 [2,7,6,1,4,5,3]=>101001 [2,7,6,1,5,3,4]=>101001 [2,7,6,1,5,4,3]=>101101 [2,7,6,3,1,4,5]=>101001 [2,7,6,3,1,5,4]=>101101 [2,7,6,3,4,1,5]=>101001 [2,7,6,3,4,5,1]=>101001 [2,7,6,3,5,1,4]=>101001 [2,7,6,3,5,4,1]=>101101 [2,7,6,4,1,3,5]=>100101 [2,7,6,4,1,5,3]=>101101 [2,7,6,4,3,1,5]=>101101 [2,7,6,4,3,5,1]=>101101 [2,7,6,4,5,1,3]=>100101 [2,7,6,4,5,3,1]=>101101 [2,7,6,5,1,3,4]=>100011 [2,7,6,5,1,4,3]=>101011 [2,7,6,5,3,1,4]=>101011 [2,7,6,5,3,4,1]=>101011 [2,7,6,5,4,1,3]=>100111 [2,7,6,5,4,3,1]=>101111 [3,1,2,4,5,6,7]=>100000 [3,1,2,4,5,7,6]=>100001 [3,1,2,4,6,5,7]=>100010 [3,1,2,4,6,7,5]=>100010 [3,1,2,4,7,5,6]=>100010 [3,1,2,4,7,6,5]=>100011 [3,1,2,5,4,6,7]=>100100 [3,1,2,5,4,7,6]=>100101 [3,1,2,5,6,4,7]=>100100 [3,1,2,5,6,7,4]=>100100 [3,1,2,5,7,4,6]=>100100 [3,1,2,5,7,6,4]=>100101 [3,1,2,6,4,5,7]=>100100 [3,1,2,6,4,7,5]=>100110 [3,1,2,6,5,4,7]=>100110 [3,1,2,6,5,7,4]=>100110 [3,1,2,6,7,4,5]=>100100 [3,1,2,6,7,5,4]=>100110 [3,1,2,7,4,5,6]=>100100 [3,1,2,7,4,6,5]=>100110 [3,1,2,7,5,4,6]=>100110 [3,1,2,7,5,6,4]=>100110 [3,1,2,7,6,4,5]=>100101 [3,1,2,7,6,5,4]=>100111 [3,1,4,2,5,6,7]=>110000 [3,1,4,2,5,7,6]=>110001 [3,1,4,2,6,5,7]=>110010 [3,1,4,2,6,7,5]=>110010 [3,1,4,2,7,5,6]=>110010 [3,1,4,2,7,6,5]=>110011 [3,1,4,5,2,6,7]=>110000 [3,1,4,5,2,7,6]=>110001 [3,1,4,5,6,2,7]=>110000 [3,1,4,5,6,7,2]=>110000 [3,1,4,5,7,2,6]=>110000 [3,1,4,5,7,6,2]=>110001 [3,1,4,6,2,5,7]=>110000 [3,1,4,6,2,7,5]=>110010 [3,1,4,6,5,2,7]=>110010 [3,1,4,6,5,7,2]=>110010 [3,1,4,6,7,2,5]=>110000 [3,1,4,6,7,5,2]=>110010 [3,1,4,7,2,5,6]=>110000 [3,1,4,7,2,6,5]=>110010 [3,1,4,7,5,2,6]=>110010 [3,1,4,7,5,6,2]=>110010 [3,1,4,7,6,2,5]=>110001 [3,1,4,7,6,5,2]=>110011 [3,1,5,2,4,6,7]=>110000 [3,1,5,2,4,7,6]=>110001 [3,1,5,2,6,4,7]=>110100 [3,1,5,2,6,7,4]=>110100 [3,1,5,2,7,4,6]=>110100 [3,1,5,2,7,6,4]=>110101 [3,1,5,4,2,6,7]=>110100 [3,1,5,4,2,7,6]=>110101 [3,1,5,4,6,2,7]=>110100 [3,1,5,4,6,7,2]=>110100 [3,1,5,4,7,2,6]=>110100 [3,1,5,4,7,6,2]=>110101 [3,1,5,6,2,4,7]=>110000 [3,1,5,6,2,7,4]=>110100 [3,1,5,6,4,2,7]=>110100 [3,1,5,6,4,7,2]=>110100 [3,1,5,6,7,2,4]=>110000 [3,1,5,6,7,4,2]=>110100 [3,1,5,7,2,4,6]=>110000 [3,1,5,7,2,6,4]=>110100 [3,1,5,7,4,2,6]=>110100 [3,1,5,7,4,6,2]=>110100 [3,1,5,7,6,2,4]=>110001 [3,1,5,7,6,4,2]=>110101 [3,1,6,2,4,5,7]=>110000 [3,1,6,2,4,7,5]=>110010 [3,1,6,2,5,4,7]=>110100 [3,1,6,2,5,7,4]=>110100 [3,1,6,2,7,4,5]=>110100 [3,1,6,2,7,5,4]=>110110 [3,1,6,4,2,5,7]=>110100 [3,1,6,4,2,7,5]=>110110 [3,1,6,4,5,2,7]=>110100 [3,1,6,4,5,7,2]=>110100 [3,1,6,4,7,2,5]=>110100 [3,1,6,4,7,5,2]=>110110 [3,1,6,5,2,4,7]=>110010 [3,1,6,5,2,7,4]=>110110 [3,1,6,5,4,2,7]=>110110 [3,1,6,5,4,7,2]=>110110 [3,1,6,5,7,2,4]=>110010 [3,1,6,5,7,4,2]=>110110 [3,1,6,7,2,4,5]=>110000 [3,1,6,7,2,5,4]=>110100 [3,1,6,7,4,2,5]=>110100 [3,1,6,7,4,5,2]=>110100 [3,1,6,7,5,2,4]=>110010 [3,1,6,7,5,4,2]=>110110 [3,1,7,2,4,5,6]=>110000 [3,1,7,2,4,6,5]=>110010 [3,1,7,2,5,4,6]=>110100 [3,1,7,2,5,6,4]=>110100 [3,1,7,2,6,4,5]=>110100 [3,1,7,2,6,5,4]=>110110 [3,1,7,4,2,5,6]=>110100 [3,1,7,4,2,6,5]=>110110 [3,1,7,4,5,2,6]=>110100 [3,1,7,4,5,6,2]=>110100 [3,1,7,4,6,2,5]=>110100 [3,1,7,4,6,5,2]=>110110 [3,1,7,5,2,4,6]=>110010 [3,1,7,5,2,6,4]=>110110 [3,1,7,5,4,2,6]=>110110 [3,1,7,5,4,6,2]=>110110 [3,1,7,5,6,2,4]=>110010 [3,1,7,5,6,4,2]=>110110 [3,1,7,6,2,4,5]=>110001 [3,1,7,6,2,5,4]=>110101 [3,1,7,6,4,2,5]=>110101 [3,1,7,6,4,5,2]=>110101 [3,1,7,6,5,2,4]=>110011 [3,1,7,6,5,4,2]=>110111 [3,2,1,4,5,6,7]=>110000 [3,2,1,4,5,7,6]=>110001 [3,2,1,4,6,5,7]=>110010 [3,2,1,4,6,7,5]=>110010 [3,2,1,4,7,5,6]=>110010 [3,2,1,4,7,6,5]=>110011 [3,2,1,5,4,6,7]=>110100 [3,2,1,5,4,7,6]=>110101 [3,2,1,5,6,4,7]=>110100 [3,2,1,5,6,7,4]=>110100 [3,2,1,5,7,4,6]=>110100 [3,2,1,5,7,6,4]=>110101 [3,2,1,6,4,5,7]=>110100 [3,2,1,6,4,7,5]=>110110 [3,2,1,6,5,4,7]=>110110 [3,2,1,6,5,7,4]=>110110 [3,2,1,6,7,4,5]=>110100 [3,2,1,6,7,5,4]=>110110 [3,2,1,7,4,5,6]=>110100 [3,2,1,7,4,6,5]=>110110 [3,2,1,7,5,4,6]=>110110 [3,2,1,7,5,6,4]=>110110 [3,2,1,7,6,4,5]=>110101 [3,2,1,7,6,5,4]=>110111 [3,2,4,1,5,6,7]=>110000 [3,2,4,1,5,7,6]=>110001 [3,2,4,1,6,5,7]=>110010 [3,2,4,1,6,7,5]=>110010 [3,2,4,1,7,5,6]=>110010 [3,2,4,1,7,6,5]=>110011 [3,2,4,5,1,6,7]=>110000 [3,2,4,5,1,7,6]=>110001 [3,2,4,5,6,1,7]=>110000 [3,2,4,5,6,7,1]=>110000 [3,2,4,5,7,1,6]=>110000 [3,2,4,5,7,6,1]=>110001 [3,2,4,6,1,5,7]=>110000 [3,2,4,6,1,7,5]=>110010 [3,2,4,6,5,1,7]=>110010 [3,2,4,6,5,7,1]=>110010 [3,2,4,6,7,1,5]=>110000 [3,2,4,6,7,5,1]=>110010 [3,2,4,7,1,5,6]=>110000 [3,2,4,7,1,6,5]=>110010 [3,2,4,7,5,1,6]=>110010 [3,2,4,7,5,6,1]=>110010 [3,2,4,7,6,1,5]=>110001 [3,2,4,7,6,5,1]=>110011 [3,2,5,1,4,6,7]=>110000 [3,2,5,1,4,7,6]=>110001 [3,2,5,1,6,4,7]=>110100 [3,2,5,1,6,7,4]=>110100 [3,2,5,1,7,4,6]=>110100 [3,2,5,1,7,6,4]=>110101 [3,2,5,4,1,6,7]=>110100 [3,2,5,4,1,7,6]=>110101 [3,2,5,4,6,1,7]=>110100 [3,2,5,4,6,7,1]=>110100 [3,2,5,4,7,1,6]=>110100 [3,2,5,4,7,6,1]=>110101 [3,2,5,6,1,4,7]=>110000 [3,2,5,6,1,7,4]=>110100 [3,2,5,6,4,1,7]=>110100 [3,2,5,6,4,7,1]=>110100 [3,2,5,6,7,1,4]=>110000 [3,2,5,6,7,4,1]=>110100 [3,2,5,7,1,4,6]=>110000 [3,2,5,7,1,6,4]=>110100 [3,2,5,7,4,1,6]=>110100 [3,2,5,7,4,6,1]=>110100 [3,2,5,7,6,1,4]=>110001 [3,2,5,7,6,4,1]=>110101 [3,2,6,1,4,5,7]=>110000 [3,2,6,1,4,7,5]=>110010 [3,2,6,1,5,4,7]=>110100 [3,2,6,1,5,7,4]=>110100 [3,2,6,1,7,4,5]=>110100 [3,2,6,1,7,5,4]=>110110 [3,2,6,4,1,5,7]=>110100 [3,2,6,4,1,7,5]=>110110 [3,2,6,4,5,1,7]=>110100 [3,2,6,4,5,7,1]=>110100 [3,2,6,4,7,1,5]=>110100 [3,2,6,4,7,5,1]=>110110 [3,2,6,5,1,4,7]=>110010 [3,2,6,5,1,7,4]=>110110 [3,2,6,5,4,1,7]=>110110 [3,2,6,5,4,7,1]=>110110 [3,2,6,5,7,1,4]=>110010 [3,2,6,5,7,4,1]=>110110 [3,2,6,7,1,4,5]=>110000 [3,2,6,7,1,5,4]=>110100 [3,2,6,7,4,1,5]=>110100 [3,2,6,7,4,5,1]=>110100 [3,2,6,7,5,1,4]=>110010 [3,2,6,7,5,4,1]=>110110 [3,2,7,1,4,5,6]=>110000 [3,2,7,1,4,6,5]=>110010 [3,2,7,1,5,4,6]=>110100 [3,2,7,1,5,6,4]=>110100 [3,2,7,1,6,4,5]=>110100 [3,2,7,1,6,5,4]=>110110 [3,2,7,4,1,5,6]=>110100 [3,2,7,4,1,6,5]=>110110 [3,2,7,4,5,1,6]=>110100 [3,2,7,4,5,6,1]=>110100 [3,2,7,4,6,1,5]=>110100 [3,2,7,4,6,5,1]=>110110 [3,2,7,5,1,4,6]=>110010 [3,2,7,5,1,6,4]=>110110 [3,2,7,5,4,1,6]=>110110 [3,2,7,5,4,6,1]=>110110 [3,2,7,5,6,1,4]=>110010 [3,2,7,5,6,4,1]=>110110 [3,2,7,6,1,4,5]=>110001 [3,2,7,6,1,5,4]=>110101 [3,2,7,6,4,1,5]=>110101 [3,2,7,6,4,5,1]=>110101 [3,2,7,6,5,1,4]=>110011 [3,2,7,6,5,4,1]=>110111 [3,4,1,2,5,6,7]=>100000 [3,4,1,2,5,7,6]=>100001 [3,4,1,2,6,5,7]=>100010 [3,4,1,2,6,7,5]=>100010 [3,4,1,2,7,5,6]=>100010 [3,4,1,2,7,6,5]=>100011 [3,4,1,5,2,6,7]=>110000 [3,4,1,5,2,7,6]=>110001 [3,4,1,5,6,2,7]=>110000 [3,4,1,5,6,7,2]=>110000 [3,4,1,5,7,2,6]=>110000 [3,4,1,5,7,6,2]=>110001 [3,4,1,6,2,5,7]=>110000 [3,4,1,6,2,7,5]=>110010 [3,4,1,6,5,2,7]=>110010 [3,4,1,6,5,7,2]=>110010 [3,4,1,6,7,2,5]=>110000 [3,4,1,6,7,5,2]=>110010 [3,4,1,7,2,5,6]=>110000 [3,4,1,7,2,6,5]=>110010 [3,4,1,7,5,2,6]=>110010 [3,4,1,7,5,6,2]=>110010 [3,4,1,7,6,2,5]=>110001 [3,4,1,7,6,5,2]=>110011 [3,4,2,1,5,6,7]=>110000 [3,4,2,1,5,7,6]=>110001 [3,4,2,1,6,5,7]=>110010 [3,4,2,1,6,7,5]=>110010 [3,4,2,1,7,5,6]=>110010 [3,4,2,1,7,6,5]=>110011 [3,4,2,5,1,6,7]=>110000 [3,4,2,5,1,7,6]=>110001 [3,4,2,5,6,1,7]=>110000 [3,4,2,5,6,7,1]=>110000 [3,4,2,5,7,1,6]=>110000 [3,4,2,5,7,6,1]=>110001 [3,4,2,6,1,5,7]=>110000 [3,4,2,6,1,7,5]=>110010 [3,4,2,6,5,1,7]=>110010 [3,4,2,6,5,7,1]=>110010 [3,4,2,6,7,1,5]=>110000 [3,4,2,6,7,5,1]=>110010 [3,4,2,7,1,5,6]=>110000 [3,4,2,7,1,6,5]=>110010 [3,4,2,7,5,1,6]=>110010 [3,4,2,7,5,6,1]=>110010 [3,4,2,7,6,1,5]=>110001 [3,4,2,7,6,5,1]=>110011 [3,4,5,1,2,6,7]=>100000 [3,4,5,1,2,7,6]=>100001 [3,4,5,1,6,2,7]=>110000 [3,4,5,1,6,7,2]=>110000 [3,4,5,1,7,2,6]=>110000 [3,4,5,1,7,6,2]=>110001 [3,4,5,2,1,6,7]=>110000 [3,4,5,2,1,7,6]=>110001 [3,4,5,2,6,1,7]=>110000 [3,4,5,2,6,7,1]=>110000 [3,4,5,2,7,1,6]=>110000 [3,4,5,2,7,6,1]=>110001 [3,4,5,6,1,2,7]=>100000 [3,4,5,6,1,7,2]=>110000 [3,4,5,6,2,1,7]=>110000 [3,4,5,6,2,7,1]=>110000 [3,4,5,6,7,1,2]=>100000 [3,4,5,6,7,2,1]=>110000 [3,4,5,7,1,2,6]=>100000 [3,4,5,7,1,6,2]=>110000 [3,4,5,7,2,1,6]=>110000 [3,4,5,7,2,6,1]=>110000 [3,4,5,7,6,1,2]=>100001 [3,4,5,7,6,2,1]=>110001 [3,4,6,1,2,5,7]=>100000 [3,4,6,1,2,7,5]=>100010 [3,4,6,1,5,2,7]=>110000 [3,4,6,1,5,7,2]=>110000 [3,4,6,1,7,2,5]=>110000 [3,4,6,1,7,5,2]=>110010 [3,4,6,2,1,5,7]=>110000 [3,4,6,2,1,7,5]=>110010 [3,4,6,2,5,1,7]=>110000 [3,4,6,2,5,7,1]=>110000 [3,4,6,2,7,1,5]=>110000 [3,4,6,2,7,5,1]=>110010 [3,4,6,5,1,2,7]=>100010 [3,4,6,5,1,7,2]=>110010 [3,4,6,5,2,1,7]=>110010 [3,4,6,5,2,7,1]=>110010 [3,4,6,5,7,1,2]=>100010 [3,4,6,5,7,2,1]=>110010 [3,4,6,7,1,2,5]=>100000 [3,4,6,7,1,5,2]=>110000 [3,4,6,7,2,1,5]=>110000 [3,4,6,7,2,5,1]=>110000 [3,4,6,7,5,1,2]=>100010 [3,4,6,7,5,2,1]=>110010 [3,4,7,1,2,5,6]=>100000 [3,4,7,1,2,6,5]=>100010 [3,4,7,1,5,2,6]=>110000 [3,4,7,1,5,6,2]=>110000 [3,4,7,1,6,2,5]=>110000 [3,4,7,1,6,5,2]=>110010 [3,4,7,2,1,5,6]=>110000 [3,4,7,2,1,6,5]=>110010 [3,4,7,2,5,1,6]=>110000 [3,4,7,2,5,6,1]=>110000 [3,4,7,2,6,1,5]=>110000 [3,4,7,2,6,5,1]=>110010 [3,4,7,5,1,2,6]=>100010 [3,4,7,5,1,6,2]=>110010 [3,4,7,5,2,1,6]=>110010 [3,4,7,5,2,6,1]=>110010 [3,4,7,5,6,1,2]=>100010 [3,4,7,5,6,2,1]=>110010 [3,4,7,6,1,2,5]=>100001 [3,4,7,6,1,5,2]=>110001 [3,4,7,6,2,1,5]=>110001 [3,4,7,6,2,5,1]=>110001 [3,4,7,6,5,1,2]=>100011 [3,4,7,6,5,2,1]=>110011 [3,5,1,2,4,6,7]=>100000 [3,5,1,2,4,7,6]=>100001 [3,5,1,2,6,4,7]=>100100 [3,5,1,2,6,7,4]=>100100 [3,5,1,2,7,4,6]=>100100 [3,5,1,2,7,6,4]=>100101 [3,5,1,4,2,6,7]=>110000 [3,5,1,4,2,7,6]=>110001 [3,5,1,4,6,2,7]=>110000 [3,5,1,4,6,7,2]=>110000 [3,5,1,4,7,2,6]=>110000 [3,5,1,4,7,6,2]=>110001 [3,5,1,6,2,4,7]=>110000 [3,5,1,6,2,7,4]=>110100 [3,5,1,6,4,2,7]=>110100 [3,5,1,6,4,7,2]=>110100 [3,5,1,6,7,2,4]=>110000 [3,5,1,6,7,4,2]=>110100 [3,5,1,7,2,4,6]=>110000 [3,5,1,7,2,6,4]=>110100 [3,5,1,7,4,2,6]=>110100 [3,5,1,7,4,6,2]=>110100 [3,5,1,7,6,2,4]=>110001 [3,5,1,7,6,4,2]=>110101 [3,5,2,1,4,6,7]=>110000 [3,5,2,1,4,7,6]=>110001 [3,5,2,1,6,4,7]=>110100 [3,5,2,1,6,7,4]=>110100 [3,5,2,1,7,4,6]=>110100 [3,5,2,1,7,6,4]=>110101 [3,5,2,4,1,6,7]=>110000 [3,5,2,4,1,7,6]=>110001 [3,5,2,4,6,1,7]=>110000 [3,5,2,4,6,7,1]=>110000 [3,5,2,4,7,1,6]=>110000 [3,5,2,4,7,6,1]=>110001 [3,5,2,6,1,4,7]=>110000 [3,5,2,6,1,7,4]=>110100 [3,5,2,6,4,1,7]=>110100 [3,5,2,6,4,7,1]=>110100 [3,5,2,6,7,1,4]=>110000 [3,5,2,6,7,4,1]=>110100 [3,5,2,7,1,4,6]=>110000 [3,5,2,7,1,6,4]=>110100 [3,5,2,7,4,1,6]=>110100 [3,5,2,7,4,6,1]=>110100 [3,5,2,7,6,1,4]=>110001 [3,5,2,7,6,4,1]=>110101 [3,5,4,1,2,6,7]=>100100 [3,5,4,1,2,7,6]=>100101 [3,5,4,1,6,2,7]=>110100 [3,5,4,1,6,7,2]=>110100 [3,5,4,1,7,2,6]=>110100 [3,5,4,1,7,6,2]=>110101 [3,5,4,2,1,6,7]=>110100 [3,5,4,2,1,7,6]=>110101 [3,5,4,2,6,1,7]=>110100 [3,5,4,2,6,7,1]=>110100 [3,5,4,2,7,1,6]=>110100 [3,5,4,2,7,6,1]=>110101 [3,5,4,6,1,2,7]=>100100 [3,5,4,6,1,7,2]=>110100 [3,5,4,6,2,1,7]=>110100 [3,5,4,6,2,7,1]=>110100 [3,5,4,6,7,1,2]=>100100 [3,5,4,6,7,2,1]=>110100 [3,5,4,7,1,2,6]=>100100 [3,5,4,7,1,6,2]=>110100 [3,5,4,7,2,1,6]=>110100 [3,5,4,7,2,6,1]=>110100 [3,5,4,7,6,1,2]=>100101 [3,5,4,7,6,2,1]=>110101 [3,5,6,1,2,4,7]=>100000 [3,5,6,1,2,7,4]=>100100 [3,5,6,1,4,2,7]=>110000 [3,5,6,1,4,7,2]=>110000 [3,5,6,1,7,2,4]=>110000 [3,5,6,1,7,4,2]=>110100 [3,5,6,2,1,4,7]=>110000 [3,5,6,2,1,7,4]=>110100 [3,5,6,2,4,1,7]=>110000 [3,5,6,2,4,7,1]=>110000 [3,5,6,2,7,1,4]=>110000 [3,5,6,2,7,4,1]=>110100 [3,5,6,4,1,2,7]=>100100 [3,5,6,4,1,7,2]=>110100 [3,5,6,4,2,1,7]=>110100 [3,5,6,4,2,7,1]=>110100 [3,5,6,4,7,1,2]=>100100 [3,5,6,4,7,2,1]=>110100 [3,5,6,7,1,2,4]=>100000 [3,5,6,7,1,4,2]=>110000 [3,5,6,7,2,1,4]=>110000 [3,5,6,7,2,4,1]=>110000 [3,5,6,7,4,1,2]=>100100 [3,5,6,7,4,2,1]=>110100 [3,5,7,1,2,4,6]=>100000 [3,5,7,1,2,6,4]=>100100 [3,5,7,1,4,2,6]=>110000 [3,5,7,1,4,6,2]=>110000 [3,5,7,1,6,2,4]=>110000 [3,5,7,1,6,4,2]=>110100 [3,5,7,2,1,4,6]=>110000 [3,5,7,2,1,6,4]=>110100 [3,5,7,2,4,1,6]=>110000 [3,5,7,2,4,6,1]=>110000 [3,5,7,2,6,1,4]=>110000 [3,5,7,2,6,4,1]=>110100 [3,5,7,4,1,2,6]=>100100 [3,5,7,4,1,6,2]=>110100 [3,5,7,4,2,1,6]=>110100 [3,5,7,4,2,6,1]=>110100 [3,5,7,4,6,1,2]=>100100 [3,5,7,4,6,2,1]=>110100 [3,5,7,6,1,2,4]=>100001 [3,5,7,6,1,4,2]=>110001 [3,5,7,6,2,1,4]=>110001 [3,5,7,6,2,4,1]=>110001 [3,5,7,6,4,1,2]=>100101 [3,5,7,6,4,2,1]=>110101 [3,6,1,2,4,5,7]=>100000 [3,6,1,2,4,7,5]=>100010 [3,6,1,2,5,4,7]=>100100 [3,6,1,2,5,7,4]=>100100 [3,6,1,2,7,4,5]=>100100 [3,6,1,2,7,5,4]=>100110 [3,6,1,4,2,5,7]=>110000 [3,6,1,4,2,7,5]=>110010 [3,6,1,4,5,2,7]=>110000 [3,6,1,4,5,7,2]=>110000 [3,6,1,4,7,2,5]=>110000 [3,6,1,4,7,5,2]=>110010 [3,6,1,5,2,4,7]=>110000 [3,6,1,5,2,7,4]=>110100 [3,6,1,5,4,2,7]=>110100 [3,6,1,5,4,7,2]=>110100 [3,6,1,5,7,2,4]=>110000 [3,6,1,5,7,4,2]=>110100 [3,6,1,7,2,4,5]=>110000 [3,6,1,7,2,5,4]=>110100 [3,6,1,7,4,2,5]=>110100 [3,6,1,7,4,5,2]=>110100 [3,6,1,7,5,2,4]=>110010 [3,6,1,7,5,4,2]=>110110 [3,6,2,1,4,5,7]=>110000 [3,6,2,1,4,7,5]=>110010 [3,6,2,1,5,4,7]=>110100 [3,6,2,1,5,7,4]=>110100 [3,6,2,1,7,4,5]=>110100 [3,6,2,1,7,5,4]=>110110 [3,6,2,4,1,5,7]=>110000 [3,6,2,4,1,7,5]=>110010 [3,6,2,4,5,1,7]=>110000 [3,6,2,4,5,7,1]=>110000 [3,6,2,4,7,1,5]=>110000 [3,6,2,4,7,5,1]=>110010 [3,6,2,5,1,4,7]=>110000 [3,6,2,5,1,7,4]=>110100 [3,6,2,5,4,1,7]=>110100 [3,6,2,5,4,7,1]=>110100 [3,6,2,5,7,1,4]=>110000 [3,6,2,5,7,4,1]=>110100 [3,6,2,7,1,4,5]=>110000 [3,6,2,7,1,5,4]=>110100 [3,6,2,7,4,1,5]=>110100 [3,6,2,7,4,5,1]=>110100 [3,6,2,7,5,1,4]=>110010 [3,6,2,7,5,4,1]=>110110 [3,6,4,1,2,5,7]=>100100 [3,6,4,1,2,7,5]=>100110 [3,6,4,1,5,2,7]=>110100 [3,6,4,1,5,7,2]=>110100 [3,6,4,1,7,2,5]=>110100 [3,6,4,1,7,5,2]=>110110 [3,6,4,2,1,5,7]=>110100 [3,6,4,2,1,7,5]=>110110 [3,6,4,2,5,1,7]=>110100 [3,6,4,2,5,7,1]=>110100 [3,6,4,2,7,1,5]=>110100 [3,6,4,2,7,5,1]=>110110 [3,6,4,5,1,2,7]=>100100 [3,6,4,5,1,7,2]=>110100 [3,6,4,5,2,1,7]=>110100 [3,6,4,5,2,7,1]=>110100 [3,6,4,5,7,1,2]=>100100 [3,6,4,5,7,2,1]=>110100 [3,6,4,7,1,2,5]=>100100 [3,6,4,7,1,5,2]=>110100 [3,6,4,7,2,1,5]=>110100 [3,6,4,7,2,5,1]=>110100 [3,6,4,7,5,1,2]=>100110 [3,6,4,7,5,2,1]=>110110 [3,6,5,1,2,4,7]=>100010 [3,6,5,1,2,7,4]=>100110 [3,6,5,1,4,2,7]=>110010 [3,6,5,1,4,7,2]=>110010 [3,6,5,1,7,2,4]=>110010 [3,6,5,1,7,4,2]=>110110 [3,6,5,2,1,4,7]=>110010 [3,6,5,2,1,7,4]=>110110 [3,6,5,2,4,1,7]=>110010 [3,6,5,2,4,7,1]=>110010 [3,6,5,2,7,1,4]=>110010 [3,6,5,2,7,4,1]=>110110 [3,6,5,4,1,2,7]=>100110 [3,6,5,4,1,7,2]=>110110 [3,6,5,4,2,1,7]=>110110 [3,6,5,4,2,7,1]=>110110 [3,6,5,4,7,1,2]=>100110 [3,6,5,4,7,2,1]=>110110 [3,6,5,7,1,2,4]=>100010 [3,6,5,7,1,4,2]=>110010 [3,6,5,7,2,1,4]=>110010 [3,6,5,7,2,4,1]=>110010 [3,6,5,7,4,1,2]=>100110 [3,6,5,7,4,2,1]=>110110 [3,6,7,1,2,4,5]=>100000 [3,6,7,1,2,5,4]=>100100 [3,6,7,1,4,2,5]=>110000 [3,6,7,1,4,5,2]=>110000 [3,6,7,1,5,2,4]=>110000 [3,6,7,1,5,4,2]=>110100 [3,6,7,2,1,4,5]=>110000 [3,6,7,2,1,5,4]=>110100 [3,6,7,2,4,1,5]=>110000 [3,6,7,2,4,5,1]=>110000 [3,6,7,2,5,1,4]=>110000 [3,6,7,2,5,4,1]=>110100 [3,6,7,4,1,2,5]=>100100 [3,6,7,4,1,5,2]=>110100 [3,6,7,4,2,1,5]=>110100 [3,6,7,4,2,5,1]=>110100 [3,6,7,4,5,1,2]=>100100 [3,6,7,4,5,2,1]=>110100 [3,6,7,5,1,2,4]=>100010 [3,6,7,5,1,4,2]=>110010 [3,6,7,5,2,1,4]=>110010 [3,6,7,5,2,4,1]=>110010 [3,6,7,5,4,1,2]=>100110 [3,6,7,5,4,2,1]=>110110 [3,7,1,2,4,5,6]=>100000 [3,7,1,2,4,6,5]=>100010 [3,7,1,2,5,4,6]=>100100 [3,7,1,2,5,6,4]=>100100 [3,7,1,2,6,4,5]=>100100 [3,7,1,2,6,5,4]=>100110 [3,7,1,4,2,5,6]=>110000 [3,7,1,4,2,6,5]=>110010 [3,7,1,4,5,2,6]=>110000 [3,7,1,4,5,6,2]=>110000 [3,7,1,4,6,2,5]=>110000 [3,7,1,4,6,5,2]=>110010 [3,7,1,5,2,4,6]=>110000 [3,7,1,5,2,6,4]=>110100 [3,7,1,5,4,2,6]=>110100 [3,7,1,5,4,6,2]=>110100 [3,7,1,5,6,2,4]=>110000 [3,7,1,5,6,4,2]=>110100 [3,7,1,6,2,4,5]=>110000 [3,7,1,6,2,5,4]=>110100 [3,7,1,6,4,2,5]=>110100 [3,7,1,6,4,5,2]=>110100 [3,7,1,6,5,2,4]=>110010 [3,7,1,6,5,4,2]=>110110 [3,7,2,1,4,5,6]=>110000 [3,7,2,1,4,6,5]=>110010 [3,7,2,1,5,4,6]=>110100 [3,7,2,1,5,6,4]=>110100 [3,7,2,1,6,4,5]=>110100 [3,7,2,1,6,5,4]=>110110 [3,7,2,4,1,5,6]=>110000 [3,7,2,4,1,6,5]=>110010 [3,7,2,4,5,1,6]=>110000 [3,7,2,4,5,6,1]=>110000 [3,7,2,4,6,1,5]=>110000 [3,7,2,4,6,5,1]=>110010 [3,7,2,5,1,4,6]=>110000 [3,7,2,5,1,6,4]=>110100 [3,7,2,5,4,1,6]=>110100 [3,7,2,5,4,6,1]=>110100 [3,7,2,5,6,1,4]=>110000 [3,7,2,5,6,4,1]=>110100 [3,7,2,6,1,4,5]=>110000 [3,7,2,6,1,5,4]=>110100 [3,7,2,6,4,1,5]=>110100 [3,7,2,6,4,5,1]=>110100 [3,7,2,6,5,1,4]=>110010 [3,7,2,6,5,4,1]=>110110 [3,7,4,1,2,5,6]=>100100 [3,7,4,1,2,6,5]=>100110 [3,7,4,1,5,2,6]=>110100 [3,7,4,1,5,6,2]=>110100 [3,7,4,1,6,2,5]=>110100 [3,7,4,1,6,5,2]=>110110 [3,7,4,2,1,5,6]=>110100 [3,7,4,2,1,6,5]=>110110 [3,7,4,2,5,1,6]=>110100 [3,7,4,2,5,6,1]=>110100 [3,7,4,2,6,1,5]=>110100 [3,7,4,2,6,5,1]=>110110 [3,7,4,5,1,2,6]=>100100 [3,7,4,5,1,6,2]=>110100 [3,7,4,5,2,1,6]=>110100 [3,7,4,5,2,6,1]=>110100 [3,7,4,5,6,1,2]=>100100 [3,7,4,5,6,2,1]=>110100 [3,7,4,6,1,2,5]=>100100 [3,7,4,6,1,5,2]=>110100 [3,7,4,6,2,1,5]=>110100 [3,7,4,6,2,5,1]=>110100 [3,7,4,6,5,1,2]=>100110 [3,7,4,6,5,2,1]=>110110 [3,7,5,1,2,4,6]=>100010 [3,7,5,1,2,6,4]=>100110 [3,7,5,1,4,2,6]=>110010 [3,7,5,1,4,6,2]=>110010 [3,7,5,1,6,2,4]=>110010 [3,7,5,1,6,4,2]=>110110 [3,7,5,2,1,4,6]=>110010 [3,7,5,2,1,6,4]=>110110 [3,7,5,2,4,1,6]=>110010 [3,7,5,2,4,6,1]=>110010 [3,7,5,2,6,1,4]=>110010 [3,7,5,2,6,4,1]=>110110 [3,7,5,4,1,2,6]=>100110 [3,7,5,4,1,6,2]=>110110 [3,7,5,4,2,1,6]=>110110 [3,7,5,4,2,6,1]=>110110 [3,7,5,4,6,1,2]=>100110 [3,7,5,4,6,2,1]=>110110 [3,7,5,6,1,2,4]=>100010 [3,7,5,6,1,4,2]=>110010 [3,7,5,6,2,1,4]=>110010 [3,7,5,6,2,4,1]=>110010 [3,7,5,6,4,1,2]=>100110 [3,7,5,6,4,2,1]=>110110 [3,7,6,1,2,4,5]=>100001 [3,7,6,1,2,5,4]=>100101 [3,7,6,1,4,2,5]=>110001 [3,7,6,1,4,5,2]=>110001 [3,7,6,1,5,2,4]=>110001 [3,7,6,1,5,4,2]=>110101 [3,7,6,2,1,4,5]=>110001 [3,7,6,2,1,5,4]=>110101 [3,7,6,2,4,1,5]=>110001 [3,7,6,2,4,5,1]=>110001 [3,7,6,2,5,1,4]=>110001 [3,7,6,2,5,4,1]=>110101 [3,7,6,4,1,2,5]=>100101 [3,7,6,4,1,5,2]=>110101 [3,7,6,4,2,1,5]=>110101 [3,7,6,4,2,5,1]=>110101 [3,7,6,4,5,1,2]=>100101 [3,7,6,4,5,2,1]=>110101 [3,7,6,5,1,2,4]=>100011 [3,7,6,5,1,4,2]=>110011 [3,7,6,5,2,1,4]=>110011 [3,7,6,5,2,4,1]=>110011 [3,7,6,5,4,1,2]=>100111 [3,7,6,5,4,2,1]=>110111 [4,1,2,3,5,6,7]=>100000 [4,1,2,3,5,7,6]=>100001 [4,1,2,3,6,5,7]=>100010 [4,1,2,3,6,7,5]=>100010 [4,1,2,3,7,5,6]=>100010 [4,1,2,3,7,6,5]=>100011 [4,1,2,5,3,6,7]=>101000 [4,1,2,5,3,7,6]=>101001 [4,1,2,5,6,3,7]=>101000 [4,1,2,5,6,7,3]=>101000 [4,1,2,5,7,3,6]=>101000 [4,1,2,5,7,6,3]=>101001 [4,1,2,6,3,5,7]=>101000 [4,1,2,6,3,7,5]=>101010 [4,1,2,6,5,3,7]=>101010 [4,1,2,6,5,7,3]=>101010 [4,1,2,6,7,3,5]=>101000 [4,1,2,6,7,5,3]=>101010 [4,1,2,7,3,5,6]=>101000 [4,1,2,7,3,6,5]=>101010 [4,1,2,7,5,3,6]=>101010 [4,1,2,7,5,6,3]=>101010 [4,1,2,7,6,3,5]=>101001 [4,1,2,7,6,5,3]=>101011 [4,1,3,2,5,6,7]=>110000 [4,1,3,2,5,7,6]=>110001 [4,1,3,2,6,5,7]=>110010 [4,1,3,2,6,7,5]=>110010 [4,1,3,2,7,5,6]=>110010 [4,1,3,2,7,6,5]=>110011 [4,1,3,5,2,6,7]=>110000 [4,1,3,5,2,7,6]=>110001 [4,1,3,5,6,2,7]=>110000 [4,1,3,5,6,7,2]=>110000 [4,1,3,5,7,2,6]=>110000 [4,1,3,5,7,6,2]=>110001 [4,1,3,6,2,5,7]=>110000 [4,1,3,6,2,7,5]=>110010 [4,1,3,6,5,2,7]=>110010 [4,1,3,6,5,7,2]=>110010 [4,1,3,6,7,2,5]=>110000 [4,1,3,6,7,5,2]=>110010 [4,1,3,7,2,5,6]=>110000 [4,1,3,7,2,6,5]=>110010 [4,1,3,7,5,2,6]=>110010 [4,1,3,7,5,6,2]=>110010 [4,1,3,7,6,2,5]=>110001 [4,1,3,7,6,5,2]=>110011 [4,1,5,2,3,6,7]=>110000 [4,1,5,2,3,7,6]=>110001 [4,1,5,2,6,3,7]=>111000 [4,1,5,2,6,7,3]=>111000 [4,1,5,2,7,3,6]=>111000 [4,1,5,2,7,6,3]=>111001 [4,1,5,3,2,6,7]=>111000 [4,1,5,3,2,7,6]=>111001 [4,1,5,3,6,2,7]=>111000 [4,1,5,3,6,7,2]=>111000 [4,1,5,3,7,2,6]=>111000 [4,1,5,3,7,6,2]=>111001 [4,1,5,6,2,3,7]=>110000 [4,1,5,6,2,7,3]=>111000 [4,1,5,6,3,2,7]=>111000 [4,1,5,6,3,7,2]=>111000 [4,1,5,6,7,2,3]=>110000 [4,1,5,6,7,3,2]=>111000 [4,1,5,7,2,3,6]=>110000 [4,1,5,7,2,6,3]=>111000 [4,1,5,7,3,2,6]=>111000 [4,1,5,7,3,6,2]=>111000 [4,1,5,7,6,2,3]=>110001 [4,1,5,7,6,3,2]=>111001 [4,1,6,2,3,5,7]=>110000 [4,1,6,2,3,7,5]=>110010 [4,1,6,2,5,3,7]=>111000 [4,1,6,2,5,7,3]=>111000 [4,1,6,2,7,3,5]=>111000 [4,1,6,2,7,5,3]=>111010 [4,1,6,3,2,5,7]=>111000 [4,1,6,3,2,7,5]=>111010 [4,1,6,3,5,2,7]=>111000 [4,1,6,3,5,7,2]=>111000 [4,1,6,3,7,2,5]=>111000 [4,1,6,3,7,5,2]=>111010 [4,1,6,5,2,3,7]=>110010 [4,1,6,5,2,7,3]=>111010 [4,1,6,5,3,2,7]=>111010 [4,1,6,5,3,7,2]=>111010 [4,1,6,5,7,2,3]=>110010 [4,1,6,5,7,3,2]=>111010 [4,1,6,7,2,3,5]=>110000 [4,1,6,7,2,5,3]=>111000 [4,1,6,7,3,2,5]=>111000 [4,1,6,7,3,5,2]=>111000 [4,1,6,7,5,2,3]=>110010 [4,1,6,7,5,3,2]=>111010 [4,1,7,2,3,5,6]=>110000 [4,1,7,2,3,6,5]=>110010 [4,1,7,2,5,3,6]=>111000 [4,1,7,2,5,6,3]=>111000 [4,1,7,2,6,3,5]=>111000 [4,1,7,2,6,5,3]=>111010 [4,1,7,3,2,5,6]=>111000 [4,1,7,3,2,6,5]=>111010 [4,1,7,3,5,2,6]=>111000 [4,1,7,3,5,6,2]=>111000 [4,1,7,3,6,2,5]=>111000 [4,1,7,3,6,5,2]=>111010 [4,1,7,5,2,3,6]=>110010 [4,1,7,5,2,6,3]=>111010 [4,1,7,5,3,2,6]=>111010 [4,1,7,5,3,6,2]=>111010 [4,1,7,5,6,2,3]=>110010 [4,1,7,5,6,3,2]=>111010 [4,1,7,6,2,3,5]=>110001 [4,1,7,6,2,5,3]=>111001 [4,1,7,6,3,2,5]=>111001 [4,1,7,6,3,5,2]=>111001 [4,1,7,6,5,2,3]=>110011 [4,1,7,6,5,3,2]=>111011 [4,2,1,3,5,6,7]=>110000 [4,2,1,3,5,7,6]=>110001 [4,2,1,3,6,5,7]=>110010 [4,2,1,3,6,7,5]=>110010 [4,2,1,3,7,5,6]=>110010 [4,2,1,3,7,6,5]=>110011 [4,2,1,5,3,6,7]=>111000 [4,2,1,5,3,7,6]=>111001 [4,2,1,5,6,3,7]=>111000 [4,2,1,5,6,7,3]=>111000 [4,2,1,5,7,3,6]=>111000 [4,2,1,5,7,6,3]=>111001 [4,2,1,6,3,5,7]=>111000 [4,2,1,6,3,7,5]=>111010 [4,2,1,6,5,3,7]=>111010 [4,2,1,6,5,7,3]=>111010 [4,2,1,6,7,3,5]=>111000 [4,2,1,6,7,5,3]=>111010 [4,2,1,7,3,5,6]=>111000 [4,2,1,7,3,6,5]=>111010 [4,2,1,7,5,3,6]=>111010 [4,2,1,7,5,6,3]=>111010 [4,2,1,7,6,3,5]=>111001 [4,2,1,7,6,5,3]=>111011 [4,2,3,1,5,6,7]=>110000 [4,2,3,1,5,7,6]=>110001 [4,2,3,1,6,5,7]=>110010 [4,2,3,1,6,7,5]=>110010 [4,2,3,1,7,5,6]=>110010 [4,2,3,1,7,6,5]=>110011 [4,2,3,5,1,6,7]=>110000 [4,2,3,5,1,7,6]=>110001 [4,2,3,5,6,1,7]=>110000 [4,2,3,5,6,7,1]=>110000 [4,2,3,5,7,1,6]=>110000 [4,2,3,5,7,6,1]=>110001 [4,2,3,6,1,5,7]=>110000 [4,2,3,6,1,7,5]=>110010 [4,2,3,6,5,1,7]=>110010 [4,2,3,6,5,7,1]=>110010 [4,2,3,6,7,1,5]=>110000 [4,2,3,6,7,5,1]=>110010 [4,2,3,7,1,5,6]=>110000 [4,2,3,7,1,6,5]=>110010 [4,2,3,7,5,1,6]=>110010 [4,2,3,7,5,6,1]=>110010 [4,2,3,7,6,1,5]=>110001 [4,2,3,7,6,5,1]=>110011 [4,2,5,1,3,6,7]=>110000 [4,2,5,1,3,7,6]=>110001 [4,2,5,1,6,3,7]=>111000 [4,2,5,1,6,7,3]=>111000 [4,2,5,1,7,3,6]=>111000 [4,2,5,1,7,6,3]=>111001 [4,2,5,3,1,6,7]=>111000 [4,2,5,3,1,7,6]=>111001 [4,2,5,3,6,1,7]=>111000 [4,2,5,3,6,7,1]=>111000 [4,2,5,3,7,1,6]=>111000 [4,2,5,3,7,6,1]=>111001 [4,2,5,6,1,3,7]=>110000 [4,2,5,6,1,7,3]=>111000 [4,2,5,6,3,1,7]=>111000 [4,2,5,6,3,7,1]=>111000 [4,2,5,6,7,1,3]=>110000 [4,2,5,6,7,3,1]=>111000 [4,2,5,7,1,3,6]=>110000 [4,2,5,7,1,6,3]=>111000 [4,2,5,7,3,1,6]=>111000 [4,2,5,7,3,6,1]=>111000 [4,2,5,7,6,1,3]=>110001 [4,2,5,7,6,3,1]=>111001 [4,2,6,1,3,5,7]=>110000 [4,2,6,1,3,7,5]=>110010 [4,2,6,1,5,3,7]=>111000 [4,2,6,1,5,7,3]=>111000 [4,2,6,1,7,3,5]=>111000 [4,2,6,1,7,5,3]=>111010 [4,2,6,3,1,5,7]=>111000 [4,2,6,3,1,7,5]=>111010 [4,2,6,3,5,1,7]=>111000 [4,2,6,3,5,7,1]=>111000 [4,2,6,3,7,1,5]=>111000 [4,2,6,3,7,5,1]=>111010 [4,2,6,5,1,3,7]=>110010 [4,2,6,5,1,7,3]=>111010 [4,2,6,5,3,1,7]=>111010 [4,2,6,5,3,7,1]=>111010 [4,2,6,5,7,1,3]=>110010 [4,2,6,5,7,3,1]=>111010 [4,2,6,7,1,3,5]=>110000 [4,2,6,7,1,5,3]=>111000 [4,2,6,7,3,1,5]=>111000 [4,2,6,7,3,5,1]=>111000 [4,2,6,7,5,1,3]=>110010 [4,2,6,7,5,3,1]=>111010 [4,2,7,1,3,5,6]=>110000 [4,2,7,1,3,6,5]=>110010 [4,2,7,1,5,3,6]=>111000 [4,2,7,1,5,6,3]=>111000 [4,2,7,1,6,3,5]=>111000 [4,2,7,1,6,5,3]=>111010 [4,2,7,3,1,5,6]=>111000 [4,2,7,3,1,6,5]=>111010 [4,2,7,3,5,1,6]=>111000 [4,2,7,3,5,6,1]=>111000 [4,2,7,3,6,1,5]=>111000 [4,2,7,3,6,5,1]=>111010 [4,2,7,5,1,3,6]=>110010 [4,2,7,5,1,6,3]=>111010 [4,2,7,5,3,1,6]=>111010 [4,2,7,5,3,6,1]=>111010 [4,2,7,5,6,1,3]=>110010 [4,2,7,5,6,3,1]=>111010 [4,2,7,6,1,3,5]=>110001 [4,2,7,6,1,5,3]=>111001 [4,2,7,6,3,1,5]=>111001 [4,2,7,6,3,5,1]=>111001 [4,2,7,6,5,1,3]=>110011 [4,2,7,6,5,3,1]=>111011 [4,3,1,2,5,6,7]=>101000 [4,3,1,2,5,7,6]=>101001 [4,3,1,2,6,5,7]=>101010 [4,3,1,2,6,7,5]=>101010 [4,3,1,2,7,5,6]=>101010 [4,3,1,2,7,6,5]=>101011 [4,3,1,5,2,6,7]=>111000 [4,3,1,5,2,7,6]=>111001 [4,3,1,5,6,2,7]=>111000 [4,3,1,5,6,7,2]=>111000 [4,3,1,5,7,2,6]=>111000 [4,3,1,5,7,6,2]=>111001 [4,3,1,6,2,5,7]=>111000 [4,3,1,6,2,7,5]=>111010 [4,3,1,6,5,2,7]=>111010 [4,3,1,6,5,7,2]=>111010 [4,3,1,6,7,2,5]=>111000 [4,3,1,6,7,5,2]=>111010 [4,3,1,7,2,5,6]=>111000 [4,3,1,7,2,6,5]=>111010 [4,3,1,7,5,2,6]=>111010 [4,3,1,7,5,6,2]=>111010 [4,3,1,7,6,2,5]=>111001 [4,3,1,7,6,5,2]=>111011 [4,3,2,1,5,6,7]=>111000 [4,3,2,1,5,7,6]=>111001 [4,3,2,1,6,5,7]=>111010 [4,3,2,1,6,7,5]=>111010 [4,3,2,1,7,5,6]=>111010 [4,3,2,1,7,6,5]=>111011 [4,3,2,5,1,6,7]=>111000 [4,3,2,5,1,7,6]=>111001 [4,3,2,5,6,1,7]=>111000 [4,3,2,5,6,7,1]=>111000 [4,3,2,5,7,1,6]=>111000 [4,3,2,5,7,6,1]=>111001 [4,3,2,6,1,5,7]=>111000 [4,3,2,6,1,7,5]=>111010 [4,3,2,6,5,1,7]=>111010 [4,3,2,6,5,7,1]=>111010 [4,3,2,6,7,1,5]=>111000 [4,3,2,6,7,5,1]=>111010 [4,3,2,7,1,5,6]=>111000 [4,3,2,7,1,6,5]=>111010 [4,3,2,7,5,1,6]=>111010 [4,3,2,7,5,6,1]=>111010 [4,3,2,7,6,1,5]=>111001 [4,3,2,7,6,5,1]=>111011 [4,3,5,1,2,6,7]=>101000 [4,3,5,1,2,7,6]=>101001 [4,3,5,1,6,2,7]=>111000 [4,3,5,1,6,7,2]=>111000 [4,3,5,1,7,2,6]=>111000 [4,3,5,1,7,6,2]=>111001 [4,3,5,2,1,6,7]=>111000 [4,3,5,2,1,7,6]=>111001 [4,3,5,2,6,1,7]=>111000 [4,3,5,2,6,7,1]=>111000 [4,3,5,2,7,1,6]=>111000 [4,3,5,2,7,6,1]=>111001 [4,3,5,6,1,2,7]=>101000 [4,3,5,6,1,7,2]=>111000 [4,3,5,6,2,1,7]=>111000 [4,3,5,6,2,7,1]=>111000 [4,3,5,6,7,1,2]=>101000 [4,3,5,6,7,2,1]=>111000 [4,3,5,7,1,2,6]=>101000 [4,3,5,7,1,6,2]=>111000 [4,3,5,7,2,1,6]=>111000 [4,3,5,7,2,6,1]=>111000 [4,3,5,7,6,1,2]=>101001 [4,3,5,7,6,2,1]=>111001 [4,3,6,1,2,5,7]=>101000 [4,3,6,1,2,7,5]=>101010 [4,3,6,1,5,2,7]=>111000 [4,3,6,1,5,7,2]=>111000 [4,3,6,1,7,2,5]=>111000 [4,3,6,1,7,5,2]=>111010 [4,3,6,2,1,5,7]=>111000 [4,3,6,2,1,7,5]=>111010 [4,3,6,2,5,1,7]=>111000 [4,3,6,2,5,7,1]=>111000 [4,3,6,2,7,1,5]=>111000 [4,3,6,2,7,5,1]=>111010 [4,3,6,5,1,2,7]=>101010 [4,3,6,5,1,7,2]=>111010 [4,3,6,5,2,1,7]=>111010 [4,3,6,5,2,7,1]=>111010 [4,3,6,5,7,1,2]=>101010 [4,3,6,5,7,2,1]=>111010 [4,3,6,7,1,2,5]=>101000 [4,3,6,7,1,5,2]=>111000 [4,3,6,7,2,1,5]=>111000 [4,3,6,7,2,5,1]=>111000 [4,3,6,7,5,1,2]=>101010 [4,3,6,7,5,2,1]=>111010 [4,3,7,1,2,5,6]=>101000 [4,3,7,1,2,6,5]=>101010 [4,3,7,1,5,2,6]=>111000 [4,3,7,1,5,6,2]=>111000 [4,3,7,1,6,2,5]=>111000 [4,3,7,1,6,5,2]=>111010 [4,3,7,2,1,5,6]=>111000 [4,3,7,2,1,6,5]=>111010 [4,3,7,2,5,1,6]=>111000 [4,3,7,2,5,6,1]=>111000 [4,3,7,2,6,1,5]=>111000 [4,3,7,2,6,5,1]=>111010 [4,3,7,5,1,2,6]=>101010 [4,3,7,5,1,6,2]=>111010 [4,3,7,5,2,1,6]=>111010 [4,3,7,5,2,6,1]=>111010 [4,3,7,5,6,1,2]=>101010 [4,3,7,5,6,2,1]=>111010 [4,3,7,6,1,2,5]=>101001 [4,3,7,6,1,5,2]=>111001 [4,3,7,6,2,1,5]=>111001 [4,3,7,6,2,5,1]=>111001 [4,3,7,6,5,1,2]=>101011 [4,3,7,6,5,2,1]=>111011 [4,5,1,2,3,6,7]=>100000 [4,5,1,2,3,7,6]=>100001 [4,5,1,2,6,3,7]=>101000 [4,5,1,2,6,7,3]=>101000 [4,5,1,2,7,3,6]=>101000 [4,5,1,2,7,6,3]=>101001 [4,5,1,3,2,6,7]=>110000 [4,5,1,3,2,7,6]=>110001 [4,5,1,3,6,2,7]=>110000 [4,5,1,3,6,7,2]=>110000 [4,5,1,3,7,2,6]=>110000 [4,5,1,3,7,6,2]=>110001 [4,5,1,6,2,3,7]=>110000 [4,5,1,6,2,7,3]=>111000 [4,5,1,6,3,2,7]=>111000 [4,5,1,6,3,7,2]=>111000 [4,5,1,6,7,2,3]=>110000 [4,5,1,6,7,3,2]=>111000 [4,5,1,7,2,3,6]=>110000 [4,5,1,7,2,6,3]=>111000 [4,5,1,7,3,2,6]=>111000 [4,5,1,7,3,6,2]=>111000 [4,5,1,7,6,2,3]=>110001 [4,5,1,7,6,3,2]=>111001 [4,5,2,1,3,6,7]=>110000 [4,5,2,1,3,7,6]=>110001 [4,5,2,1,6,3,7]=>111000 [4,5,2,1,6,7,3]=>111000 [4,5,2,1,7,3,6]=>111000 [4,5,2,1,7,6,3]=>111001 [4,5,2,3,1,6,7]=>110000 [4,5,2,3,1,7,6]=>110001 [4,5,2,3,6,1,7]=>110000 [4,5,2,3,6,7,1]=>110000 [4,5,2,3,7,1,6]=>110000 [4,5,2,3,7,6,1]=>110001 [4,5,2,6,1,3,7]=>110000 [4,5,2,6,1,7,3]=>111000 [4,5,2,6,3,1,7]=>111000 [4,5,2,6,3,7,1]=>111000 [4,5,2,6,7,1,3]=>110000 [4,5,2,6,7,3,1]=>111000 [4,5,2,7,1,3,6]=>110000 [4,5,2,7,1,6,3]=>111000 [4,5,2,7,3,1,6]=>111000 [4,5,2,7,3,6,1]=>111000 [4,5,2,7,6,1,3]=>110001 [4,5,2,7,6,3,1]=>111001 [4,5,3,1,2,6,7]=>101000 [4,5,3,1,2,7,6]=>101001 [4,5,3,1,6,2,7]=>111000 [4,5,3,1,6,7,2]=>111000 [4,5,3,1,7,2,6]=>111000 [4,5,3,1,7,6,2]=>111001 [4,5,3,2,1,6,7]=>111000 [4,5,3,2,1,7,6]=>111001 [4,5,3,2,6,1,7]=>111000 [4,5,3,2,6,7,1]=>111000 [4,5,3,2,7,1,6]=>111000 [4,5,3,2,7,6,1]=>111001 [4,5,3,6,1,2,7]=>101000 [4,5,3,6,1,7,2]=>111000 [4,5,3,6,2,1,7]=>111000 [4,5,3,6,2,7,1]=>111000 [4,5,3,6,7,1,2]=>101000 [4,5,3,6,7,2,1]=>111000 [4,5,3,7,1,2,6]=>101000 [4,5,3,7,1,6,2]=>111000 [4,5,3,7,2,1,6]=>111000 [4,5,3,7,2,6,1]=>111000 [4,5,3,7,6,1,2]=>101001 [4,5,3,7,6,2,1]=>111001 [4,5,6,1,2,3,7]=>100000 [4,5,6,1,2,7,3]=>101000 [4,5,6,1,3,2,7]=>110000 [4,5,6,1,3,7,2]=>110000 [4,5,6,1,7,2,3]=>110000 [4,5,6,1,7,3,2]=>111000 [4,5,6,2,1,3,7]=>110000 [4,5,6,2,1,7,3]=>111000 [4,5,6,2,3,1,7]=>110000 [4,5,6,2,3,7,1]=>110000 [4,5,6,2,7,1,3]=>110000 [4,5,6,2,7,3,1]=>111000 [4,5,6,3,1,2,7]=>101000 [4,5,6,3,1,7,2]=>111000 [4,5,6,3,2,1,7]=>111000 [4,5,6,3,2,7,1]=>111000 [4,5,6,3,7,1,2]=>101000 [4,5,6,3,7,2,1]=>111000 [4,5,6,7,1,2,3]=>100000 [4,5,6,7,1,3,2]=>110000 [4,5,6,7,2,1,3]=>110000 [4,5,6,7,2,3,1]=>110000 [4,5,6,7,3,1,2]=>101000 [4,5,6,7,3,2,1]=>111000 [4,5,7,1,2,3,6]=>100000 [4,5,7,1,2,6,3]=>101000 [4,5,7,1,3,2,6]=>110000 [4,5,7,1,3,6,2]=>110000 [4,5,7,1,6,2,3]=>110000 [4,5,7,1,6,3,2]=>111000 [4,5,7,2,1,3,6]=>110000 [4,5,7,2,1,6,3]=>111000 [4,5,7,2,3,1,6]=>110000 [4,5,7,2,3,6,1]=>110000 [4,5,7,2,6,1,3]=>110000 [4,5,7,2,6,3,1]=>111000 [4,5,7,3,1,2,6]=>101000 [4,5,7,3,1,6,2]=>111000 [4,5,7,3,2,1,6]=>111000 [4,5,7,3,2,6,1]=>111000 [4,5,7,3,6,1,2]=>101000 [4,5,7,3,6,2,1]=>111000 [4,5,7,6,1,2,3]=>100001 [4,5,7,6,1,3,2]=>110001 [4,5,7,6,2,1,3]=>110001 [4,5,7,6,2,3,1]=>110001 [4,5,7,6,3,1,2]=>101001 [4,5,7,6,3,2,1]=>111001 [4,6,1,2,3,5,7]=>100000 [4,6,1,2,3,7,5]=>100010 [4,6,1,2,5,3,7]=>101000 [4,6,1,2,5,7,3]=>101000 [4,6,1,2,7,3,5]=>101000 [4,6,1,2,7,5,3]=>101010 [4,6,1,3,2,5,7]=>110000 [4,6,1,3,2,7,5]=>110010 [4,6,1,3,5,2,7]=>110000 [4,6,1,3,5,7,2]=>110000 [4,6,1,3,7,2,5]=>110000 [4,6,1,3,7,5,2]=>110010 [4,6,1,5,2,3,7]=>110000 [4,6,1,5,2,7,3]=>111000 [4,6,1,5,3,2,7]=>111000 [4,6,1,5,3,7,2]=>111000 [4,6,1,5,7,2,3]=>110000 [4,6,1,5,7,3,2]=>111000 [4,6,1,7,2,3,5]=>110000 [4,6,1,7,2,5,3]=>111000 [4,6,1,7,3,2,5]=>111000 [4,6,1,7,3,5,2]=>111000 [4,6,1,7,5,2,3]=>110010 [4,6,1,7,5,3,2]=>111010 [4,6,2,1,3,5,7]=>110000 [4,6,2,1,3,7,5]=>110010 [4,6,2,1,5,3,7]=>111000 [4,6,2,1,5,7,3]=>111000 [4,6,2,1,7,3,5]=>111000 [4,6,2,1,7,5,3]=>111010 [4,6,2,3,1,5,7]=>110000 [4,6,2,3,1,7,5]=>110010 [4,6,2,3,5,1,7]=>110000 [4,6,2,3,5,7,1]=>110000 [4,6,2,3,7,1,5]=>110000 [4,6,2,3,7,5,1]=>110010 [4,6,2,5,1,3,7]=>110000 [4,6,2,5,1,7,3]=>111000 [4,6,2,5,3,1,7]=>111000 [4,6,2,5,3,7,1]=>111000 [4,6,2,5,7,1,3]=>110000 [4,6,2,5,7,3,1]=>111000 [4,6,2,7,1,3,5]=>110000 [4,6,2,7,1,5,3]=>111000 [4,6,2,7,3,1,5]=>111000 [4,6,2,7,3,5,1]=>111000 [4,6,2,7,5,1,3]=>110010 [4,6,2,7,5,3,1]=>111010 [4,6,3,1,2,5,7]=>101000 [4,6,3,1,2,7,5]=>101010 [4,6,3,1,5,2,7]=>111000 [4,6,3,1,5,7,2]=>111000 [4,6,3,1,7,2,5]=>111000 [4,6,3,1,7,5,2]=>111010 [4,6,3,2,1,5,7]=>111000 [4,6,3,2,1,7,5]=>111010 [4,6,3,2,5,1,7]=>111000 [4,6,3,2,5,7,1]=>111000 [4,6,3,2,7,1,5]=>111000 [4,6,3,2,7,5,1]=>111010 [4,6,3,5,1,2,7]=>101000 [4,6,3,5,1,7,2]=>111000 [4,6,3,5,2,1,7]=>111000 [4,6,3,5,2,7,1]=>111000 [4,6,3,5,7,1,2]=>101000 [4,6,3,5,7,2,1]=>111000 [4,6,3,7,1,2,5]=>101000 [4,6,3,7,1,5,2]=>111000 [4,6,3,7,2,1,5]=>111000 [4,6,3,7,2,5,1]=>111000 [4,6,3,7,5,1,2]=>101010 [4,6,3,7,5,2,1]=>111010 [4,6,5,1,2,3,7]=>100010 [4,6,5,1,2,7,3]=>101010 [4,6,5,1,3,2,7]=>110010 [4,6,5,1,3,7,2]=>110010 [4,6,5,1,7,2,3]=>110010 [4,6,5,1,7,3,2]=>111010 [4,6,5,2,1,3,7]=>110010 [4,6,5,2,1,7,3]=>111010 [4,6,5,2,3,1,7]=>110010 [4,6,5,2,3,7,1]=>110010 [4,6,5,2,7,1,3]=>110010 [4,6,5,2,7,3,1]=>111010 [4,6,5,3,1,2,7]=>101010 [4,6,5,3,1,7,2]=>111010 [4,6,5,3,2,1,7]=>111010 [4,6,5,3,2,7,1]=>111010 [4,6,5,3,7,1,2]=>101010 [4,6,5,3,7,2,1]=>111010 [4,6,5,7,1,2,3]=>100010 [4,6,5,7,1,3,2]=>110010 [4,6,5,7,2,1,3]=>110010 [4,6,5,7,2,3,1]=>110010 [4,6,5,7,3,1,2]=>101010 [4,6,5,7,3,2,1]=>111010 [4,6,7,1,2,3,5]=>100000 [4,6,7,1,2,5,3]=>101000 [4,6,7,1,3,2,5]=>110000 [4,6,7,1,3,5,2]=>110000 [4,6,7,1,5,2,3]=>110000 [4,6,7,1,5,3,2]=>111000 [4,6,7,2,1,3,5]=>110000 [4,6,7,2,1,5,3]=>111000 [4,6,7,2,3,1,5]=>110000 [4,6,7,2,3,5,1]=>110000 [4,6,7,2,5,1,3]=>110000 [4,6,7,2,5,3,1]=>111000 [4,6,7,3,1,2,5]=>101000 [4,6,7,3,1,5,2]=>111000 [4,6,7,3,2,1,5]=>111000 [4,6,7,3,2,5,1]=>111000 [4,6,7,3,5,1,2]=>101000 [4,6,7,3,5,2,1]=>111000 [4,6,7,5,1,2,3]=>100010 [4,6,7,5,1,3,2]=>110010 [4,6,7,5,2,1,3]=>110010 [4,6,7,5,2,3,1]=>110010 [4,6,7,5,3,1,2]=>101010 [4,6,7,5,3,2,1]=>111010 [4,7,1,2,3,5,6]=>100000 [4,7,1,2,3,6,5]=>100010 [4,7,1,2,5,3,6]=>101000 [4,7,1,2,5,6,3]=>101000 [4,7,1,2,6,3,5]=>101000 [4,7,1,2,6,5,3]=>101010 [4,7,1,3,2,5,6]=>110000 [4,7,1,3,2,6,5]=>110010 [4,7,1,3,5,2,6]=>110000 [4,7,1,3,5,6,2]=>110000 [4,7,1,3,6,2,5]=>110000 [4,7,1,3,6,5,2]=>110010 [4,7,1,5,2,3,6]=>110000 [4,7,1,5,2,6,3]=>111000 [4,7,1,5,3,2,6]=>111000 [4,7,1,5,3,6,2]=>111000 [4,7,1,5,6,2,3]=>110000 [4,7,1,5,6,3,2]=>111000 [4,7,1,6,2,3,5]=>110000 [4,7,1,6,2,5,3]=>111000 [4,7,1,6,3,2,5]=>111000 [4,7,1,6,3,5,2]=>111000 [4,7,1,6,5,2,3]=>110010 [4,7,1,6,5,3,2]=>111010 [4,7,2,1,3,5,6]=>110000 [4,7,2,1,3,6,5]=>110010 [4,7,2,1,5,3,6]=>111000 [4,7,2,1,5,6,3]=>111000 [4,7,2,1,6,3,5]=>111000 [4,7,2,1,6,5,3]=>111010 [4,7,2,3,1,5,6]=>110000 [4,7,2,3,1,6,5]=>110010 [4,7,2,3,5,1,6]=>110000 [4,7,2,3,5,6,1]=>110000 [4,7,2,3,6,1,5]=>110000 [4,7,2,3,6,5,1]=>110010 [4,7,2,5,1,3,6]=>110000 [4,7,2,5,1,6,3]=>111000 [4,7,2,5,3,1,6]=>111000 [4,7,2,5,3,6,1]=>111000 [4,7,2,5,6,1,3]=>110000 [4,7,2,5,6,3,1]=>111000 [4,7,2,6,1,3,5]=>110000 [4,7,2,6,1,5,3]=>111000 [4,7,2,6,3,1,5]=>111000 [4,7,2,6,3,5,1]=>111000 [4,7,2,6,5,1,3]=>110010 [4,7,2,6,5,3,1]=>111010 [4,7,3,1,2,5,6]=>101000 [4,7,3,1,2,6,5]=>101010 [4,7,3,1,5,2,6]=>111000 [4,7,3,1,5,6,2]=>111000 [4,7,3,1,6,2,5]=>111000 [4,7,3,1,6,5,2]=>111010 [4,7,3,2,1,5,6]=>111000 [4,7,3,2,1,6,5]=>111010 [4,7,3,2,5,1,6]=>111000 [4,7,3,2,5,6,1]=>111000 [4,7,3,2,6,1,5]=>111000 [4,7,3,2,6,5,1]=>111010 [4,7,3,5,1,2,6]=>101000 [4,7,3,5,1,6,2]=>111000 [4,7,3,5,2,1,6]=>111000 [4,7,3,5,2,6,1]=>111000 [4,7,3,5,6,1,2]=>101000 [4,7,3,5,6,2,1]=>111000 [4,7,3,6,1,2,5]=>101000 [4,7,3,6,1,5,2]=>111000 [4,7,3,6,2,1,5]=>111000 [4,7,3,6,2,5,1]=>111000 [4,7,3,6,5,1,2]=>101010 [4,7,3,6,5,2,1]=>111010 [4,7,5,1,2,3,6]=>100010 [4,7,5,1,2,6,3]=>101010 [4,7,5,1,3,2,6]=>110010 [4,7,5,1,3,6,2]=>110010 [4,7,5,1,6,2,3]=>110010 [4,7,5,1,6,3,2]=>111010 [4,7,5,2,1,3,6]=>110010 [4,7,5,2,1,6,3]=>111010 [4,7,5,2,3,1,6]=>110010 [4,7,5,2,3,6,1]=>110010 [4,7,5,2,6,1,3]=>110010 [4,7,5,2,6,3,1]=>111010 [4,7,5,3,1,2,6]=>101010 [4,7,5,3,1,6,2]=>111010 [4,7,5,3,2,1,6]=>111010 [4,7,5,3,2,6,1]=>111010 [4,7,5,3,6,1,2]=>101010 [4,7,5,3,6,2,1]=>111010 [4,7,5,6,1,2,3]=>100010 [4,7,5,6,1,3,2]=>110010 [4,7,5,6,2,1,3]=>110010 [4,7,5,6,2,3,1]=>110010 [4,7,5,6,3,1,2]=>101010 [4,7,5,6,3,2,1]=>111010 [4,7,6,1,2,3,5]=>100001 [4,7,6,1,2,5,3]=>101001 [4,7,6,1,3,2,5]=>110001 [4,7,6,1,3,5,2]=>110001 [4,7,6,1,5,2,3]=>110001 [4,7,6,1,5,3,2]=>111001 [4,7,6,2,1,3,5]=>110001 [4,7,6,2,1,5,3]=>111001 [4,7,6,2,3,1,5]=>110001 [4,7,6,2,3,5,1]=>110001 [4,7,6,2,5,1,3]=>110001 [4,7,6,2,5,3,1]=>111001 [4,7,6,3,1,2,5]=>101001 [4,7,6,3,1,5,2]=>111001 [4,7,6,3,2,1,5]=>111001 [4,7,6,3,2,5,1]=>111001 [4,7,6,3,5,1,2]=>101001 [4,7,6,3,5,2,1]=>111001 [4,7,6,5,1,2,3]=>100011 [4,7,6,5,1,3,2]=>110011 [4,7,6,5,2,1,3]=>110011 [4,7,6,5,2,3,1]=>110011 [4,7,6,5,3,1,2]=>101011 [4,7,6,5,3,2,1]=>111011 [5,1,2,3,4,6,7]=>100000 [5,1,2,3,4,7,6]=>100001 [5,1,2,3,6,4,7]=>100100 [5,1,2,3,6,7,4]=>100100 [5,1,2,3,7,4,6]=>100100 [5,1,2,3,7,6,4]=>100101 [5,1,2,4,3,6,7]=>101000 [5,1,2,4,3,7,6]=>101001 [5,1,2,4,6,3,7]=>101000 [5,1,2,4,6,7,3]=>101000 [5,1,2,4,7,3,6]=>101000 [5,1,2,4,7,6,3]=>101001 [5,1,2,6,3,4,7]=>101000 [5,1,2,6,3,7,4]=>101100 [5,1,2,6,4,3,7]=>101100 [5,1,2,6,4,7,3]=>101100 [5,1,2,6,7,3,4]=>101000 [5,1,2,6,7,4,3]=>101100 [5,1,2,7,3,4,6]=>101000 [5,1,2,7,3,6,4]=>101100 [5,1,2,7,4,3,6]=>101100 [5,1,2,7,4,6,3]=>101100 [5,1,2,7,6,3,4]=>101001 [5,1,2,7,6,4,3]=>101101 [5,1,3,2,4,6,7]=>110000 [5,1,3,2,4,7,6]=>110001 [5,1,3,2,6,4,7]=>110100 [5,1,3,2,6,7,4]=>110100 [5,1,3,2,7,4,6]=>110100 [5,1,3,2,7,6,4]=>110101 [5,1,3,4,2,6,7]=>110000 [5,1,3,4,2,7,6]=>110001 [5,1,3,4,6,2,7]=>110000 [5,1,3,4,6,7,2]=>110000 [5,1,3,4,7,2,6]=>110000 [5,1,3,4,7,6,2]=>110001 [5,1,3,6,2,4,7]=>110000 [5,1,3,6,2,7,4]=>110100 [5,1,3,6,4,2,7]=>110100 [5,1,3,6,4,7,2]=>110100 [5,1,3,6,7,2,4]=>110000 [5,1,3,6,7,4,2]=>110100 [5,1,3,7,2,4,6]=>110000 [5,1,3,7,2,6,4]=>110100 [5,1,3,7,4,2,6]=>110100 [5,1,3,7,4,6,2]=>110100 [5,1,3,7,6,2,4]=>110001 [5,1,3,7,6,4,2]=>110101 [5,1,4,2,3,6,7]=>110000 [5,1,4,2,3,7,6]=>110001 [5,1,4,2,6,3,7]=>111000 [5,1,4,2,6,7,3]=>111000 [5,1,4,2,7,3,6]=>111000 [5,1,4,2,7,6,3]=>111001 [5,1,4,3,2,6,7]=>111000 [5,1,4,3,2,7,6]=>111001 [5,1,4,3,6,2,7]=>111000 [5,1,4,3,6,7,2]=>111000 [5,1,4,3,7,2,6]=>111000 [5,1,4,3,7,6,2]=>111001 [5,1,4,6,2,3,7]=>110000 [5,1,4,6,2,7,3]=>111000 [5,1,4,6,3,2,7]=>111000 [5,1,4,6,3,7,2]=>111000 [5,1,4,6,7,2,3]=>110000 [5,1,4,6,7,3,2]=>111000 [5,1,4,7,2,3,6]=>110000 [5,1,4,7,2,6,3]=>111000 [5,1,4,7,3,2,6]=>111000 [5,1,4,7,3,6,2]=>111000 [5,1,4,7,6,2,3]=>110001 [5,1,4,7,6,3,2]=>111001 [5,1,6,2,3,4,7]=>110000 [5,1,6,2,3,7,4]=>110100 [5,1,6,2,4,3,7]=>111000 [5,1,6,2,4,7,3]=>111000 [5,1,6,2,7,3,4]=>111000 [5,1,6,2,7,4,3]=>111100 [5,1,6,3,2,4,7]=>111000 [5,1,6,3,2,7,4]=>111100 [5,1,6,3,4,2,7]=>111000 [5,1,6,3,4,7,2]=>111000 [5,1,6,3,7,2,4]=>111000 [5,1,6,3,7,4,2]=>111100 [5,1,6,4,2,3,7]=>110100 [5,1,6,4,2,7,3]=>111100 [5,1,6,4,3,2,7]=>111100 [5,1,6,4,3,7,2]=>111100 [5,1,6,4,7,2,3]=>110100 [5,1,6,4,7,3,2]=>111100 [5,1,6,7,2,3,4]=>110000 [5,1,6,7,2,4,3]=>111000 [5,1,6,7,3,2,4]=>111000 [5,1,6,7,3,4,2]=>111000 [5,1,6,7,4,2,3]=>110100 [5,1,6,7,4,3,2]=>111100 [5,1,7,2,3,4,6]=>110000 [5,1,7,2,3,6,4]=>110100 [5,1,7,2,4,3,6]=>111000 [5,1,7,2,4,6,3]=>111000 [5,1,7,2,6,3,4]=>111000 [5,1,7,2,6,4,3]=>111100 [5,1,7,3,2,4,6]=>111000 [5,1,7,3,2,6,4]=>111100 [5,1,7,3,4,2,6]=>111000 [5,1,7,3,4,6,2]=>111000 [5,1,7,3,6,2,4]=>111000 [5,1,7,3,6,4,2]=>111100 [5,1,7,4,2,3,6]=>110100 [5,1,7,4,2,6,3]=>111100 [5,1,7,4,3,2,6]=>111100 [5,1,7,4,3,6,2]=>111100 [5,1,7,4,6,2,3]=>110100 [5,1,7,4,6,3,2]=>111100 [5,1,7,6,2,3,4]=>110001 [5,1,7,6,2,4,3]=>111001 [5,1,7,6,3,2,4]=>111001 [5,1,7,6,3,4,2]=>111001 [5,1,7,6,4,2,3]=>110101 [5,1,7,6,4,3,2]=>111101 [5,2,1,3,4,6,7]=>110000 [5,2,1,3,4,7,6]=>110001 [5,2,1,3,6,4,7]=>110100 [5,2,1,3,6,7,4]=>110100 [5,2,1,3,7,4,6]=>110100 [5,2,1,3,7,6,4]=>110101 [5,2,1,4,3,6,7]=>111000 [5,2,1,4,3,7,6]=>111001 [5,2,1,4,6,3,7]=>111000 [5,2,1,4,6,7,3]=>111000 [5,2,1,4,7,3,6]=>111000 [5,2,1,4,7,6,3]=>111001 [5,2,1,6,3,4,7]=>111000 [5,2,1,6,3,7,4]=>111100 [5,2,1,6,4,3,7]=>111100 [5,2,1,6,4,7,3]=>111100 [5,2,1,6,7,3,4]=>111000 [5,2,1,6,7,4,3]=>111100 [5,2,1,7,3,4,6]=>111000 [5,2,1,7,3,6,4]=>111100 [5,2,1,7,4,3,6]=>111100 [5,2,1,7,4,6,3]=>111100 [5,2,1,7,6,3,4]=>111001 [5,2,1,7,6,4,3]=>111101 [5,2,3,1,4,6,7]=>110000 [5,2,3,1,4,7,6]=>110001 [5,2,3,1,6,4,7]=>110100 [5,2,3,1,6,7,4]=>110100 [5,2,3,1,7,4,6]=>110100 [5,2,3,1,7,6,4]=>110101 [5,2,3,4,1,6,7]=>110000 [5,2,3,4,1,7,6]=>110001 [5,2,3,4,6,1,7]=>110000 [5,2,3,4,6,7,1]=>110000 [5,2,3,4,7,1,6]=>110000 [5,2,3,4,7,6,1]=>110001 [5,2,3,6,1,4,7]=>110000 [5,2,3,6,1,7,4]=>110100 [5,2,3,6,4,1,7]=>110100 [5,2,3,6,4,7,1]=>110100 [5,2,3,6,7,1,4]=>110000 [5,2,3,6,7,4,1]=>110100 [5,2,3,7,1,4,6]=>110000 [5,2,3,7,1,6,4]=>110100 [5,2,3,7,4,1,6]=>110100 [5,2,3,7,4,6,1]=>110100 [5,2,3,7,6,1,4]=>110001 [5,2,3,7,6,4,1]=>110101 [5,2,4,1,3,6,7]=>110000 [5,2,4,1,3,7,6]=>110001 [5,2,4,1,6,3,7]=>111000 [5,2,4,1,6,7,3]=>111000 [5,2,4,1,7,3,6]=>111000 [5,2,4,1,7,6,3]=>111001 [5,2,4,3,1,6,7]=>111000 [5,2,4,3,1,7,6]=>111001 [5,2,4,3,6,1,7]=>111000 [5,2,4,3,6,7,1]=>111000 [5,2,4,3,7,1,6]=>111000 [5,2,4,3,7,6,1]=>111001 [5,2,4,6,1,3,7]=>110000 [5,2,4,6,1,7,3]=>111000 [5,2,4,6,3,1,7]=>111000 [5,2,4,6,3,7,1]=>111000 [5,2,4,6,7,1,3]=>110000 [5,2,4,6,7,3,1]=>111000 [5,2,4,7,1,3,6]=>110000 [5,2,4,7,1,6,3]=>111000 [5,2,4,7,3,1,6]=>111000 [5,2,4,7,3,6,1]=>111000 [5,2,4,7,6,1,3]=>110001 [5,2,4,7,6,3,1]=>111001 [5,2,6,1,3,4,7]=>110000 [5,2,6,1,3,7,4]=>110100 [5,2,6,1,4,3,7]=>111000 [5,2,6,1,4,7,3]=>111000 [5,2,6,1,7,3,4]=>111000 [5,2,6,1,7,4,3]=>111100 [5,2,6,3,1,4,7]=>111000 [5,2,6,3,1,7,4]=>111100 [5,2,6,3,4,1,7]=>111000 [5,2,6,3,4,7,1]=>111000 [5,2,6,3,7,1,4]=>111000 [5,2,6,3,7,4,1]=>111100 [5,2,6,4,1,3,7]=>110100 [5,2,6,4,1,7,3]=>111100 [5,2,6,4,3,1,7]=>111100 [5,2,6,4,3,7,1]=>111100 [5,2,6,4,7,1,3]=>110100 [5,2,6,4,7,3,1]=>111100 [5,2,6,7,1,3,4]=>110000 [5,2,6,7,1,4,3]=>111000 [5,2,6,7,3,1,4]=>111000 [5,2,6,7,3,4,1]=>111000 [5,2,6,7,4,1,3]=>110100 [5,2,6,7,4,3,1]=>111100 [5,2,7,1,3,4,6]=>110000 [5,2,7,1,3,6,4]=>110100 [5,2,7,1,4,3,6]=>111000 [5,2,7,1,4,6,3]=>111000 [5,2,7,1,6,3,4]=>111000 [5,2,7,1,6,4,3]=>111100 [5,2,7,3,1,4,6]=>111000 [5,2,7,3,1,6,4]=>111100 [5,2,7,3,4,1,6]=>111000 [5,2,7,3,4,6,1]=>111000 [5,2,7,3,6,1,4]=>111000 [5,2,7,3,6,4,1]=>111100 [5,2,7,4,1,3,6]=>110100 [5,2,7,4,1,6,3]=>111100 [5,2,7,4,3,1,6]=>111100 [5,2,7,4,3,6,1]=>111100 [5,2,7,4,6,1,3]=>110100 [5,2,7,4,6,3,1]=>111100 [5,2,7,6,1,3,4]=>110001 [5,2,7,6,1,4,3]=>111001 [5,2,7,6,3,1,4]=>111001 [5,2,7,6,3,4,1]=>111001 [5,2,7,6,4,1,3]=>110101 [5,2,7,6,4,3,1]=>111101 [5,3,1,2,4,6,7]=>101000 [5,3,1,2,4,7,6]=>101001 [5,3,1,2,6,4,7]=>101100 [5,3,1,2,6,7,4]=>101100 [5,3,1,2,7,4,6]=>101100 [5,3,1,2,7,6,4]=>101101 [5,3,1,4,2,6,7]=>111000 [5,3,1,4,2,7,6]=>111001 [5,3,1,4,6,2,7]=>111000 [5,3,1,4,6,7,2]=>111000 [5,3,1,4,7,2,6]=>111000 [5,3,1,4,7,6,2]=>111001 [5,3,1,6,2,4,7]=>111000 [5,3,1,6,2,7,4]=>111100 [5,3,1,6,4,2,7]=>111100 [5,3,1,6,4,7,2]=>111100 [5,3,1,6,7,2,4]=>111000 [5,3,1,6,7,4,2]=>111100 [5,3,1,7,2,4,6]=>111000 [5,3,1,7,2,6,4]=>111100 [5,3,1,7,4,2,6]=>111100 [5,3,1,7,4,6,2]=>111100 [5,3,1,7,6,2,4]=>111001 [5,3,1,7,6,4,2]=>111101 [5,3,2,1,4,6,7]=>111000 [5,3,2,1,4,7,6]=>111001 [5,3,2,1,6,4,7]=>111100 [5,3,2,1,6,7,4]=>111100 [5,3,2,1,7,4,6]=>111100 [5,3,2,1,7,6,4]=>111101 [5,3,2,4,1,6,7]=>111000 [5,3,2,4,1,7,6]=>111001 [5,3,2,4,6,1,7]=>111000 [5,3,2,4,6,7,1]=>111000 [5,3,2,4,7,1,6]=>111000 [5,3,2,4,7,6,1]=>111001 [5,3,2,6,1,4,7]=>111000 [5,3,2,6,1,7,4]=>111100 [5,3,2,6,4,1,7]=>111100 [5,3,2,6,4,7,1]=>111100 [5,3,2,6,7,1,4]=>111000 [5,3,2,6,7,4,1]=>111100 [5,3,2,7,1,4,6]=>111000 [5,3,2,7,1,6,4]=>111100 [5,3,2,7,4,1,6]=>111100 [5,3,2,7,4,6,1]=>111100 [5,3,2,7,6,1,4]=>111001 [5,3,2,7,6,4,1]=>111101 [5,3,4,1,2,6,7]=>101000 [5,3,4,1,2,7,6]=>101001 [5,3,4,1,6,2,7]=>111000 [5,3,4,1,6,7,2]=>111000 [5,3,4,1,7,2,6]=>111000 [5,3,4,1,7,6,2]=>111001 [5,3,4,2,1,6,7]=>111000 [5,3,4,2,1,7,6]=>111001 [5,3,4,2,6,1,7]=>111000 [5,3,4,2,6,7,1]=>111000 [5,3,4,2,7,1,6]=>111000 [5,3,4,2,7,6,1]=>111001 [5,3,4,6,1,2,7]=>101000 [5,3,4,6,1,7,2]=>111000 [5,3,4,6,2,1,7]=>111000 [5,3,4,6,2,7,1]=>111000 [5,3,4,6,7,1,2]=>101000 [5,3,4,6,7,2,1]=>111000 [5,3,4,7,1,2,6]=>101000 [5,3,4,7,1,6,2]=>111000 [5,3,4,7,2,1,6]=>111000 [5,3,4,7,2,6,1]=>111000 [5,3,4,7,6,1,2]=>101001 [5,3,4,7,6,2,1]=>111001 [5,3,6,1,2,4,7]=>101000 [5,3,6,1,2,7,4]=>101100 [5,3,6,1,4,2,7]=>111000 [5,3,6,1,4,7,2]=>111000 [5,3,6,1,7,2,4]=>111000 [5,3,6,1,7,4,2]=>111100 [5,3,6,2,1,4,7]=>111000 [5,3,6,2,1,7,4]=>111100 [5,3,6,2,4,1,7]=>111000 [5,3,6,2,4,7,1]=>111000 [5,3,6,2,7,1,4]=>111000 [5,3,6,2,7,4,1]=>111100 [5,3,6,4,1,2,7]=>101100 [5,3,6,4,1,7,2]=>111100 [5,3,6,4,2,1,7]=>111100 [5,3,6,4,2,7,1]=>111100 [5,3,6,4,7,1,2]=>101100 [5,3,6,4,7,2,1]=>111100 [5,3,6,7,1,2,4]=>101000 [5,3,6,7,1,4,2]=>111000 [5,3,6,7,2,1,4]=>111000 [5,3,6,7,2,4,1]=>111000 [5,3,6,7,4,1,2]=>101100 [5,3,6,7,4,2,1]=>111100 [5,3,7,1,2,4,6]=>101000 [5,3,7,1,2,6,4]=>101100 [5,3,7,1,4,2,6]=>111000 [5,3,7,1,4,6,2]=>111000 [5,3,7,1,6,2,4]=>111000 [5,3,7,1,6,4,2]=>111100 [5,3,7,2,1,4,6]=>111000 [5,3,7,2,1,6,4]=>111100 [5,3,7,2,4,1,6]=>111000 [5,3,7,2,4,6,1]=>111000 [5,3,7,2,6,1,4]=>111000 [5,3,7,2,6,4,1]=>111100 [5,3,7,4,1,2,6]=>101100 [5,3,7,4,1,6,2]=>111100 [5,3,7,4,2,1,6]=>111100 [5,3,7,4,2,6,1]=>111100 [5,3,7,4,6,1,2]=>101100 [5,3,7,4,6,2,1]=>111100 [5,3,7,6,1,2,4]=>101001 [5,3,7,6,1,4,2]=>111001 [5,3,7,6,2,1,4]=>111001 [5,3,7,6,2,4,1]=>111001 [5,3,7,6,4,1,2]=>101101 [5,3,7,6,4,2,1]=>111101 [5,4,1,2,3,6,7]=>100100 [5,4,1,2,3,7,6]=>100101 [5,4,1,2,6,3,7]=>101100 [5,4,1,2,6,7,3]=>101100 [5,4,1,2,7,3,6]=>101100 [5,4,1,2,7,6,3]=>101101 [5,4,1,3,2,6,7]=>110100 [5,4,1,3,2,7,6]=>110101 [5,4,1,3,6,2,7]=>110100 [5,4,1,3,6,7,2]=>110100 [5,4,1,3,7,2,6]=>110100 [5,4,1,3,7,6,2]=>110101 [5,4,1,6,2,3,7]=>110100 [5,4,1,6,2,7,3]=>111100 [5,4,1,6,3,2,7]=>111100 [5,4,1,6,3,7,2]=>111100 [5,4,1,6,7,2,3]=>110100 [5,4,1,6,7,3,2]=>111100 [5,4,1,7,2,3,6]=>110100 [5,4,1,7,2,6,3]=>111100 [5,4,1,7,3,2,6]=>111100 [5,4,1,7,3,6,2]=>111100 [5,4,1,7,6,2,3]=>110101 [5,4,1,7,6,3,2]=>111101 [5,4,2,1,3,6,7]=>110100 [5,4,2,1,3,7,6]=>110101 [5,4,2,1,6,3,7]=>111100 [5,4,2,1,6,7,3]=>111100 [5,4,2,1,7,3,6]=>111100 [5,4,2,1,7,6,3]=>111101 [5,4,2,3,1,6,7]=>110100 [5,4,2,3,1,7,6]=>110101 [5,4,2,3,6,1,7]=>110100 [5,4,2,3,6,7,1]=>110100 [5,4,2,3,7,1,6]=>110100 [5,4,2,3,7,6,1]=>110101 [5,4,2,6,1,3,7]=>110100 [5,4,2,6,1,7,3]=>111100 [5,4,2,6,3,1,7]=>111100 [5,4,2,6,3,7,1]=>111100 [5,4,2,6,7,1,3]=>110100 [5,4,2,6,7,3,1]=>111100 [5,4,2,7,1,3,6]=>110100 [5,4,2,7,1,6,3]=>111100 [5,4,2,7,3,1,6]=>111100 [5,4,2,7,3,6,1]=>111100 [5,4,2,7,6,1,3]=>110101 [5,4,2,7,6,3,1]=>111101 [5,4,3,1,2,6,7]=>101100 [5,4,3,1,2,7,6]=>101101 [5,4,3,1,6,2,7]=>111100 [5,4,3,1,6,7,2]=>111100 [5,4,3,1,7,2,6]=>111100 [5,4,3,1,7,6,2]=>111101 [5,4,3,2,1,6,7]=>111100 [5,4,3,2,1,7,6]=>111101 [5,4,3,2,6,1,7]=>111100 [5,4,3,2,6,7,1]=>111100 [5,4,3,2,7,1,6]=>111100 [5,4,3,2,7,6,1]=>111101 [5,4,3,6,1,2,7]=>101100 [5,4,3,6,1,7,2]=>111100 [5,4,3,6,2,1,7]=>111100 [5,4,3,6,2,7,1]=>111100 [5,4,3,6,7,1,2]=>101100 [5,4,3,6,7,2,1]=>111100 [5,4,3,7,1,2,6]=>101100 [5,4,3,7,1,6,2]=>111100 [5,4,3,7,2,1,6]=>111100 [5,4,3,7,2,6,1]=>111100 [5,4,3,7,6,1,2]=>101101 [5,4,3,7,6,2,1]=>111101 [5,4,6,1,2,3,7]=>100100 [5,4,6,1,2,7,3]=>101100 [5,4,6,1,3,2,7]=>110100 [5,4,6,1,3,7,2]=>110100 [5,4,6,1,7,2,3]=>110100 [5,4,6,1,7,3,2]=>111100 [5,4,6,2,1,3,7]=>110100 [5,4,6,2,1,7,3]=>111100 [5,4,6,2,3,1,7]=>110100 [5,4,6,2,3,7,1]=>110100 [5,4,6,2,7,1,3]=>110100 [5,4,6,2,7,3,1]=>111100 [5,4,6,3,1,2,7]=>101100 [5,4,6,3,1,7,2]=>111100 [5,4,6,3,2,1,7]=>111100 [5,4,6,3,2,7,1]=>111100 [5,4,6,3,7,1,2]=>101100 [5,4,6,3,7,2,1]=>111100 [5,4,6,7,1,2,3]=>100100 [5,4,6,7,1,3,2]=>110100 [5,4,6,7,2,1,3]=>110100 [5,4,6,7,2,3,1]=>110100 [5,4,6,7,3,1,2]=>101100 [5,4,6,7,3,2,1]=>111100 [5,4,7,1,2,3,6]=>100100 [5,4,7,1,2,6,3]=>101100 [5,4,7,1,3,2,6]=>110100 [5,4,7,1,3,6,2]=>110100 [5,4,7,1,6,2,3]=>110100 [5,4,7,1,6,3,2]=>111100 [5,4,7,2,1,3,6]=>110100 [5,4,7,2,1,6,3]=>111100 [5,4,7,2,3,1,6]=>110100 [5,4,7,2,3,6,1]=>110100 [5,4,7,2,6,1,3]=>110100 [5,4,7,2,6,3,1]=>111100 [5,4,7,3,1,2,6]=>101100 [5,4,7,3,1,6,2]=>111100 [5,4,7,3,2,1,6]=>111100 [5,4,7,3,2,6,1]=>111100 [5,4,7,3,6,1,2]=>101100 [5,4,7,3,6,2,1]=>111100 [5,4,7,6,1,2,3]=>100101 [5,4,7,6,1,3,2]=>110101 [5,4,7,6,2,1,3]=>110101 [5,4,7,6,2,3,1]=>110101 [5,4,7,6,3,1,2]=>101101 [5,4,7,6,3,2,1]=>111101 [5,6,1,2,3,4,7]=>100000 [5,6,1,2,3,7,4]=>100100 [5,6,1,2,4,3,7]=>101000 [5,6,1,2,4,7,3]=>101000 [5,6,1,2,7,3,4]=>101000 [5,6,1,2,7,4,3]=>101100 [5,6,1,3,2,4,7]=>110000 [5,6,1,3,2,7,4]=>110100 [5,6,1,3,4,2,7]=>110000 [5,6,1,3,4,7,2]=>110000 [5,6,1,3,7,2,4]=>110000 [5,6,1,3,7,4,2]=>110100 [5,6,1,4,2,3,7]=>110000 [5,6,1,4,2,7,3]=>111000 [5,6,1,4,3,2,7]=>111000 [5,6,1,4,3,7,2]=>111000 [5,6,1,4,7,2,3]=>110000 [5,6,1,4,7,3,2]=>111000 [5,6,1,7,2,3,4]=>110000 [5,6,1,7,2,4,3]=>111000 [5,6,1,7,3,2,4]=>111000 [5,6,1,7,3,4,2]=>111000 [5,6,1,7,4,2,3]=>110100 [5,6,1,7,4,3,2]=>111100 [5,6,2,1,3,4,7]=>110000 [5,6,2,1,3,7,4]=>110100 [5,6,2,1,4,3,7]=>111000 [5,6,2,1,4,7,3]=>111000 [5,6,2,1,7,3,4]=>111000 [5,6,2,1,7,4,3]=>111100 [5,6,2,3,1,4,7]=>110000 [5,6,2,3,1,7,4]=>110100 [5,6,2,3,4,1,7]=>110000 [5,6,2,3,4,7,1]=>110000 [5,6,2,3,7,1,4]=>110000 [5,6,2,3,7,4,1]=>110100 [5,6,2,4,1,3,7]=>110000 [5,6,2,4,1,7,3]=>111000 [5,6,2,4,3,1,7]=>111000 [5,6,2,4,3,7,1]=>111000 [5,6,2,4,7,1,3]=>110000 [5,6,2,4,7,3,1]=>111000 [5,6,2,7,1,3,4]=>110000 [5,6,2,7,1,4,3]=>111000 [5,6,2,7,3,1,4]=>111000 [5,6,2,7,3,4,1]=>111000 [5,6,2,7,4,1,3]=>110100 [5,6,2,7,4,3,1]=>111100 [5,6,3,1,2,4,7]=>101000 [5,6,3,1,2,7,4]=>101100 [5,6,3,1,4,2,7]=>111000 [5,6,3,1,4,7,2]=>111000 [5,6,3,1,7,2,4]=>111000 [5,6,3,1,7,4,2]=>111100 [5,6,3,2,1,4,7]=>111000 [5,6,3,2,1,7,4]=>111100 [5,6,3,2,4,1,7]=>111000 [5,6,3,2,4,7,1]=>111000 [5,6,3,2,7,1,4]=>111000 [5,6,3,2,7,4,1]=>111100 [5,6,3,4,1,2,7]=>101000 [5,6,3,4,1,7,2]=>111000 [5,6,3,4,2,1,7]=>111000 [5,6,3,4,2,7,1]=>111000 [5,6,3,4,7,1,2]=>101000 [5,6,3,4,7,2,1]=>111000 [5,6,3,7,1,2,4]=>101000 [5,6,3,7,1,4,2]=>111000 [5,6,3,7,2,1,4]=>111000 [5,6,3,7,2,4,1]=>111000 [5,6,3,7,4,1,2]=>101100 [5,6,3,7,4,2,1]=>111100 [5,6,4,1,2,3,7]=>100100 [5,6,4,1,2,7,3]=>101100 [5,6,4,1,3,2,7]=>110100 [5,6,4,1,3,7,2]=>110100 [5,6,4,1,7,2,3]=>110100 [5,6,4,1,7,3,2]=>111100 [5,6,4,2,1,3,7]=>110100 [5,6,4,2,1,7,3]=>111100 [5,6,4,2,3,1,7]=>110100 [5,6,4,2,3,7,1]=>110100 [5,6,4,2,7,1,3]=>110100 [5,6,4,2,7,3,1]=>111100 [5,6,4,3,1,2,7]=>101100 [5,6,4,3,1,7,2]=>111100 [5,6,4,3,2,1,7]=>111100 [5,6,4,3,2,7,1]=>111100 [5,6,4,3,7,1,2]=>101100 [5,6,4,3,7,2,1]=>111100 [5,6,4,7,1,2,3]=>100100 [5,6,4,7,1,3,2]=>110100 [5,6,4,7,2,1,3]=>110100 [5,6,4,7,2,3,1]=>110100 [5,6,4,7,3,1,2]=>101100 [5,6,4,7,3,2,1]=>111100 [5,6,7,1,2,3,4]=>100000 [5,6,7,1,2,4,3]=>101000 [5,6,7,1,3,2,4]=>110000 [5,6,7,1,3,4,2]=>110000 [5,6,7,1,4,2,3]=>110000 [5,6,7,1,4,3,2]=>111000 [5,6,7,2,1,3,4]=>110000 [5,6,7,2,1,4,3]=>111000 [5,6,7,2,3,1,4]=>110000 [5,6,7,2,3,4,1]=>110000 [5,6,7,2,4,1,3]=>110000 [5,6,7,2,4,3,1]=>111000 [5,6,7,3,1,2,4]=>101000 [5,6,7,3,1,4,2]=>111000 [5,6,7,3,2,1,4]=>111000 [5,6,7,3,2,4,1]=>111000 [5,6,7,3,4,1,2]=>101000 [5,6,7,3,4,2,1]=>111000 [5,6,7,4,1,2,3]=>100100 [5,6,7,4,1,3,2]=>110100 [5,6,7,4,2,1,3]=>110100 [5,6,7,4,2,3,1]=>110100 [5,6,7,4,3,1,2]=>101100 [5,6,7,4,3,2,1]=>111100 [5,7,1,2,3,4,6]=>100000 [5,7,1,2,3,6,4]=>100100 [5,7,1,2,4,3,6]=>101000 [5,7,1,2,4,6,3]=>101000 [5,7,1,2,6,3,4]=>101000 [5,7,1,2,6,4,3]=>101100 [5,7,1,3,2,4,6]=>110000 [5,7,1,3,2,6,4]=>110100 [5,7,1,3,4,2,6]=>110000 [5,7,1,3,4,6,2]=>110000 [5,7,1,3,6,2,4]=>110000 [5,7,1,3,6,4,2]=>110100 [5,7,1,4,2,3,6]=>110000 [5,7,1,4,2,6,3]=>111000 [5,7,1,4,3,2,6]=>111000 [5,7,1,4,3,6,2]=>111000 [5,7,1,4,6,2,3]=>110000 [5,7,1,4,6,3,2]=>111000 [5,7,1,6,2,3,4]=>110000 [5,7,1,6,2,4,3]=>111000 [5,7,1,6,3,2,4]=>111000 [5,7,1,6,3,4,2]=>111000 [5,7,1,6,4,2,3]=>110100 [5,7,1,6,4,3,2]=>111100 [5,7,2,1,3,4,6]=>110000 [5,7,2,1,3,6,4]=>110100 [5,7,2,1,4,3,6]=>111000 [5,7,2,1,4,6,3]=>111000 [5,7,2,1,6,3,4]=>111000 [5,7,2,1,6,4,3]=>111100 [5,7,2,3,1,4,6]=>110000 [5,7,2,3,1,6,4]=>110100 [5,7,2,3,4,1,6]=>110000 [5,7,2,3,4,6,1]=>110000 [5,7,2,3,6,1,4]=>110000 [5,7,2,3,6,4,1]=>110100 [5,7,2,4,1,3,6]=>110000 [5,7,2,4,1,6,3]=>111000 [5,7,2,4,3,1,6]=>111000 [5,7,2,4,3,6,1]=>111000 [5,7,2,4,6,1,3]=>110000 [5,7,2,4,6,3,1]=>111000 [5,7,2,6,1,3,4]=>110000 [5,7,2,6,1,4,3]=>111000 [5,7,2,6,3,1,4]=>111000 [5,7,2,6,3,4,1]=>111000 [5,7,2,6,4,1,3]=>110100 [5,7,2,6,4,3,1]=>111100 [5,7,3,1,2,4,6]=>101000 [5,7,3,1,2,6,4]=>101100 [5,7,3,1,4,2,6]=>111000 [5,7,3,1,4,6,2]=>111000 [5,7,3,1,6,2,4]=>111000 [5,7,3,1,6,4,2]=>111100 [5,7,3,2,1,4,6]=>111000 [5,7,3,2,1,6,4]=>111100 [5,7,3,2,4,1,6]=>111000 [5,7,3,2,4,6,1]=>111000 [5,7,3,2,6,1,4]=>111000 [5,7,3,2,6,4,1]=>111100 [5,7,3,4,1,2,6]=>101000 [5,7,3,4,1,6,2]=>111000 [5,7,3,4,2,1,6]=>111000 [5,7,3,4,2,6,1]=>111000 [5,7,3,4,6,1,2]=>101000 [5,7,3,4,6,2,1]=>111000 [5,7,3,6,1,2,4]=>101000 [5,7,3,6,1,4,2]=>111000 [5,7,3,6,2,1,4]=>111000 [5,7,3,6,2,4,1]=>111000 [5,7,3,6,4,1,2]=>101100 [5,7,3,6,4,2,1]=>111100 [5,7,4,1,2,3,6]=>100100 [5,7,4,1,2,6,3]=>101100 [5,7,4,1,3,2,6]=>110100 [5,7,4,1,3,6,2]=>110100 [5,7,4,1,6,2,3]=>110100 [5,7,4,1,6,3,2]=>111100 [5,7,4,2,1,3,6]=>110100 [5,7,4,2,1,6,3]=>111100 [5,7,4,2,3,1,6]=>110100 [5,7,4,2,3,6,1]=>110100 [5,7,4,2,6,1,3]=>110100 [5,7,4,2,6,3,1]=>111100 [5,7,4,3,1,2,6]=>101100 [5,7,4,3,1,6,2]=>111100 [5,7,4,3,2,1,6]=>111100 [5,7,4,3,2,6,1]=>111100 [5,7,4,3,6,1,2]=>101100 [5,7,4,3,6,2,1]=>111100 [5,7,4,6,1,2,3]=>100100 [5,7,4,6,1,3,2]=>110100 [5,7,4,6,2,1,3]=>110100 [5,7,4,6,2,3,1]=>110100 [5,7,4,6,3,1,2]=>101100 [5,7,4,6,3,2,1]=>111100 [5,7,6,1,2,3,4]=>100001 [5,7,6,1,2,4,3]=>101001 [5,7,6,1,3,2,4]=>110001 [5,7,6,1,3,4,2]=>110001 [5,7,6,1,4,2,3]=>110001 [5,7,6,1,4,3,2]=>111001 [5,7,6,2,1,3,4]=>110001 [5,7,6,2,1,4,3]=>111001 [5,7,6,2,3,1,4]=>110001 [5,7,6,2,3,4,1]=>110001 [5,7,6,2,4,1,3]=>110001 [5,7,6,2,4,3,1]=>111001 [5,7,6,3,1,2,4]=>101001 [5,7,6,3,1,4,2]=>111001 [5,7,6,3,2,1,4]=>111001 [5,7,6,3,2,4,1]=>111001 [5,7,6,3,4,1,2]=>101001 [5,7,6,3,4,2,1]=>111001 [5,7,6,4,1,2,3]=>100101 [5,7,6,4,1,3,2]=>110101 [5,7,6,4,2,1,3]=>110101 [5,7,6,4,2,3,1]=>110101 [5,7,6,4,3,1,2]=>101101 [5,7,6,4,3,2,1]=>111101 [6,1,2,3,4,5,7]=>100000 [6,1,2,3,4,7,5]=>100010 [6,1,2,3,5,4,7]=>100100 [6,1,2,3,5,7,4]=>100100 [6,1,2,3,7,4,5]=>100100 [6,1,2,3,7,5,4]=>100110 [6,1,2,4,3,5,7]=>101000 [6,1,2,4,3,7,5]=>101010 [6,1,2,4,5,3,7]=>101000 [6,1,2,4,5,7,3]=>101000 [6,1,2,4,7,3,5]=>101000 [6,1,2,4,7,5,3]=>101010 [6,1,2,5,3,4,7]=>101000 [6,1,2,5,3,7,4]=>101100 [6,1,2,5,4,3,7]=>101100 [6,1,2,5,4,7,3]=>101100 [6,1,2,5,7,3,4]=>101000 [6,1,2,5,7,4,3]=>101100 [6,1,2,7,3,4,5]=>101000 [6,1,2,7,3,5,4]=>101100 [6,1,2,7,4,3,5]=>101100 [6,1,2,7,4,5,3]=>101100 [6,1,2,7,5,3,4]=>101010 [6,1,2,7,5,4,3]=>101110 [6,1,3,2,4,5,7]=>110000 [6,1,3,2,4,7,5]=>110010 [6,1,3,2,5,4,7]=>110100 [6,1,3,2,5,7,4]=>110100 [6,1,3,2,7,4,5]=>110100 [6,1,3,2,7,5,4]=>110110 [6,1,3,4,2,5,7]=>110000 [6,1,3,4,2,7,5]=>110010 [6,1,3,4,5,2,7]=>110000 [6,1,3,4,5,7,2]=>110000 [6,1,3,4,7,2,5]=>110000 [6,1,3,4,7,5,2]=>110010 [6,1,3,5,2,4,7]=>110000 [6,1,3,5,2,7,4]=>110100 [6,1,3,5,4,2,7]=>110100 [6,1,3,5,4,7,2]=>110100 [6,1,3,5,7,2,4]=>110000 [6,1,3,5,7,4,2]=>110100 [6,1,3,7,2,4,5]=>110000 [6,1,3,7,2,5,4]=>110100 [6,1,3,7,4,2,5]=>110100 [6,1,3,7,4,5,2]=>110100 [6,1,3,7,5,2,4]=>110010 [6,1,3,7,5,4,2]=>110110 [6,1,4,2,3,5,7]=>110000 [6,1,4,2,3,7,5]=>110010 [6,1,4,2,5,3,7]=>111000 [6,1,4,2,5,7,3]=>111000 [6,1,4,2,7,3,5]=>111000 [6,1,4,2,7,5,3]=>111010 [6,1,4,3,2,5,7]=>111000 [6,1,4,3,2,7,5]=>111010 [6,1,4,3,5,2,7]=>111000 [6,1,4,3,5,7,2]=>111000 [6,1,4,3,7,2,5]=>111000 [6,1,4,3,7,5,2]=>111010 [6,1,4,5,2,3,7]=>110000 [6,1,4,5,2,7,3]=>111000 [6,1,4,5,3,2,7]=>111000 [6,1,4,5,3,7,2]=>111000 [6,1,4,5,7,2,3]=>110000 [6,1,4,5,7,3,2]=>111000 [6,1,4,7,2,3,5]=>110000 [6,1,4,7,2,5,3]=>111000 [6,1,4,7,3,2,5]=>111000 [6,1,4,7,3,5,2]=>111000 [6,1,4,7,5,2,3]=>110010 [6,1,4,7,5,3,2]=>111010 [6,1,5,2,3,4,7]=>110000 [6,1,5,2,3,7,4]=>110100 [6,1,5,2,4,3,7]=>111000 [6,1,5,2,4,7,3]=>111000 [6,1,5,2,7,3,4]=>111000 [6,1,5,2,7,4,3]=>111100 [6,1,5,3,2,4,7]=>111000 [6,1,5,3,2,7,4]=>111100 [6,1,5,3,4,2,7]=>111000 [6,1,5,3,4,7,2]=>111000 [6,1,5,3,7,2,4]=>111000 [6,1,5,3,7,4,2]=>111100 [6,1,5,4,2,3,7]=>110100 [6,1,5,4,2,7,3]=>111100 [6,1,5,4,3,2,7]=>111100 [6,1,5,4,3,7,2]=>111100 [6,1,5,4,7,2,3]=>110100 [6,1,5,4,7,3,2]=>111100 [6,1,5,7,2,3,4]=>110000 [6,1,5,7,2,4,3]=>111000 [6,1,5,7,3,2,4]=>111000 [6,1,5,7,3,4,2]=>111000 [6,1,5,7,4,2,3]=>110100 [6,1,5,7,4,3,2]=>111100 [6,1,7,2,3,4,5]=>110000 [6,1,7,2,3,5,4]=>110100 [6,1,7,2,4,3,5]=>111000 [6,1,7,2,4,5,3]=>111000 [6,1,7,2,5,3,4]=>111000 [6,1,7,2,5,4,3]=>111100 [6,1,7,3,2,4,5]=>111000 [6,1,7,3,2,5,4]=>111100 [6,1,7,3,4,2,5]=>111000 [6,1,7,3,4,5,2]=>111000 [6,1,7,3,5,2,4]=>111000 [6,1,7,3,5,4,2]=>111100 [6,1,7,4,2,3,5]=>110100 [6,1,7,4,2,5,3]=>111100 [6,1,7,4,3,2,5]=>111100 [6,1,7,4,3,5,2]=>111100 [6,1,7,4,5,2,3]=>110100 [6,1,7,4,5,3,2]=>111100 [6,1,7,5,2,3,4]=>110010 [6,1,7,5,2,4,3]=>111010 [6,1,7,5,3,2,4]=>111010 [6,1,7,5,3,4,2]=>111010 [6,1,7,5,4,2,3]=>110110 [6,1,7,5,4,3,2]=>111110 [6,2,1,3,4,5,7]=>110000 [6,2,1,3,4,7,5]=>110010 [6,2,1,3,5,4,7]=>110100 [6,2,1,3,5,7,4]=>110100 [6,2,1,3,7,4,5]=>110100 [6,2,1,3,7,5,4]=>110110 [6,2,1,4,3,5,7]=>111000 [6,2,1,4,3,7,5]=>111010 [6,2,1,4,5,3,7]=>111000 [6,2,1,4,5,7,3]=>111000 [6,2,1,4,7,3,5]=>111000 [6,2,1,4,7,5,3]=>111010 [6,2,1,5,3,4,7]=>111000 [6,2,1,5,3,7,4]=>111100 [6,2,1,5,4,3,7]=>111100 [6,2,1,5,4,7,3]=>111100 [6,2,1,5,7,3,4]=>111000 [6,2,1,5,7,4,3]=>111100 [6,2,1,7,3,4,5]=>111000 [6,2,1,7,3,5,4]=>111100 [6,2,1,7,4,3,5]=>111100 [6,2,1,7,4,5,3]=>111100 [6,2,1,7,5,3,4]=>111010 [6,2,1,7,5,4,3]=>111110 [6,2,3,1,4,5,7]=>110000 [6,2,3,1,4,7,5]=>110010 [6,2,3,1,5,4,7]=>110100 [6,2,3,1,5,7,4]=>110100 [6,2,3,1,7,4,5]=>110100 [6,2,3,1,7,5,4]=>110110 [6,2,3,4,1,5,7]=>110000 [6,2,3,4,1,7,5]=>110010 [6,2,3,4,5,1,7]=>110000 [6,2,3,4,5,7,1]=>110000 [6,2,3,4,7,1,5]=>110000 [6,2,3,4,7,5,1]=>110010 [6,2,3,5,1,4,7]=>110000 [6,2,3,5,1,7,4]=>110100 [6,2,3,5,4,1,7]=>110100 [6,2,3,5,4,7,1]=>110100 [6,2,3,5,7,1,4]=>110000 [6,2,3,5,7,4,1]=>110100 [6,2,3,7,1,4,5]=>110000 [6,2,3,7,1,5,4]=>110100 [6,2,3,7,4,1,5]=>110100 [6,2,3,7,4,5,1]=>110100 [6,2,3,7,5,1,4]=>110010 [6,2,3,7,5,4,1]=>110110 [6,2,4,1,3,5,7]=>110000 [6,2,4,1,3,7,5]=>110010 [6,2,4,1,5,3,7]=>111000 [6,2,4,1,5,7,3]=>111000 [6,2,4,1,7,3,5]=>111000 [6,2,4,1,7,5,3]=>111010 [6,2,4,3,1,5,7]=>111000 [6,2,4,3,1,7,5]=>111010 [6,2,4,3,5,1,7]=>111000 [6,2,4,3,5,7,1]=>111000 [6,2,4,3,7,1,5]=>111000 [6,2,4,3,7,5,1]=>111010 [6,2,4,5,1,3,7]=>110000 [6,2,4,5,1,7,3]=>111000 [6,2,4,5,3,1,7]=>111000 [6,2,4,5,3,7,1]=>111000 [6,2,4,5,7,1,3]=>110000 [6,2,4,5,7,3,1]=>111000 [6,2,4,7,1,3,5]=>110000 [6,2,4,7,1,5,3]=>111000 [6,2,4,7,3,1,5]=>111000 [6,2,4,7,3,5,1]=>111000 [6,2,4,7,5,1,3]=>110010 [6,2,4,7,5,3,1]=>111010 [6,2,5,1,3,4,7]=>110000 [6,2,5,1,3,7,4]=>110100 [6,2,5,1,4,3,7]=>111000 [6,2,5,1,4,7,3]=>111000 [6,2,5,1,7,3,4]=>111000 [6,2,5,1,7,4,3]=>111100 [6,2,5,3,1,4,7]=>111000 [6,2,5,3,1,7,4]=>111100 [6,2,5,3,4,1,7]=>111000 [6,2,5,3,4,7,1]=>111000 [6,2,5,3,7,1,4]=>111000 [6,2,5,3,7,4,1]=>111100 [6,2,5,4,1,3,7]=>110100 [6,2,5,4,1,7,3]=>111100 [6,2,5,4,3,1,7]=>111100 [6,2,5,4,3,7,1]=>111100 [6,2,5,4,7,1,3]=>110100 [6,2,5,4,7,3,1]=>111100 [6,2,5,7,1,3,4]=>110000 [6,2,5,7,1,4,3]=>111000 [6,2,5,7,3,1,4]=>111000 [6,2,5,7,3,4,1]=>111000 [6,2,5,7,4,1,3]=>110100 [6,2,5,7,4,3,1]=>111100 [6,2,7,1,3,4,5]=>110000 [6,2,7,1,3,5,4]=>110100 [6,2,7,1,4,3,5]=>111000 [6,2,7,1,4,5,3]=>111000 [6,2,7,1,5,3,4]=>111000 [6,2,7,1,5,4,3]=>111100 [6,2,7,3,1,4,5]=>111000 [6,2,7,3,1,5,4]=>111100 [6,2,7,3,4,1,5]=>111000 [6,2,7,3,4,5,1]=>111000 [6,2,7,3,5,1,4]=>111000 [6,2,7,3,5,4,1]=>111100 [6,2,7,4,1,3,5]=>110100 [6,2,7,4,1,5,3]=>111100 [6,2,7,4,3,1,5]=>111100 [6,2,7,4,3,5,1]=>111100 [6,2,7,4,5,1,3]=>110100 [6,2,7,4,5,3,1]=>111100 [6,2,7,5,1,3,4]=>110010 [6,2,7,5,1,4,3]=>111010 [6,2,7,5,3,1,4]=>111010 [6,2,7,5,3,4,1]=>111010 [6,2,7,5,4,1,3]=>110110 [6,2,7,5,4,3,1]=>111110 [6,3,1,2,4,5,7]=>101000 [6,3,1,2,4,7,5]=>101010 [6,3,1,2,5,4,7]=>101100 [6,3,1,2,5,7,4]=>101100 [6,3,1,2,7,4,5]=>101100 [6,3,1,2,7,5,4]=>101110 [6,3,1,4,2,5,7]=>111000 [6,3,1,4,2,7,5]=>111010 [6,3,1,4,5,2,7]=>111000 [6,3,1,4,5,7,2]=>111000 [6,3,1,4,7,2,5]=>111000 [6,3,1,4,7,5,2]=>111010 [6,3,1,5,2,4,7]=>111000 [6,3,1,5,2,7,4]=>111100 [6,3,1,5,4,2,7]=>111100 [6,3,1,5,4,7,2]=>111100 [6,3,1,5,7,2,4]=>111000 [6,3,1,5,7,4,2]=>111100 [6,3,1,7,2,4,5]=>111000 [6,3,1,7,2,5,4]=>111100 [6,3,1,7,4,2,5]=>111100 [6,3,1,7,4,5,2]=>111100 [6,3,1,7,5,2,4]=>111010 [6,3,1,7,5,4,2]=>111110 [6,3,2,1,4,5,7]=>111000 [6,3,2,1,4,7,5]=>111010 [6,3,2,1,5,4,7]=>111100 [6,3,2,1,5,7,4]=>111100 [6,3,2,1,7,4,5]=>111100 [6,3,2,1,7,5,4]=>111110 [6,3,2,4,1,5,7]=>111000 [6,3,2,4,1,7,5]=>111010 [6,3,2,4,5,1,7]=>111000 [6,3,2,4,5,7,1]=>111000 [6,3,2,4,7,1,5]=>111000 [6,3,2,4,7,5,1]=>111010 [6,3,2,5,1,4,7]=>111000 [6,3,2,5,1,7,4]=>111100 [6,3,2,5,4,1,7]=>111100 [6,3,2,5,4,7,1]=>111100 [6,3,2,5,7,1,4]=>111000 [6,3,2,5,7,4,1]=>111100 [6,3,2,7,1,4,5]=>111000 [6,3,2,7,1,5,4]=>111100 [6,3,2,7,4,1,5]=>111100 [6,3,2,7,4,5,1]=>111100 [6,3,2,7,5,1,4]=>111010 [6,3,2,7,5,4,1]=>111110 [6,3,4,1,2,5,7]=>101000 [6,3,4,1,2,7,5]=>101010 [6,3,4,1,5,2,7]=>111000 [6,3,4,1,5,7,2]=>111000 [6,3,4,1,7,2,5]=>111000 [6,3,4,1,7,5,2]=>111010 [6,3,4,2,1,5,7]=>111000 [6,3,4,2,1,7,5]=>111010 [6,3,4,2,5,1,7]=>111000 [6,3,4,2,5,7,1]=>111000 [6,3,4,2,7,1,5]=>111000 [6,3,4,2,7,5,1]=>111010 [6,3,4,5,1,2,7]=>101000 [6,3,4,5,1,7,2]=>111000 [6,3,4,5,2,1,7]=>111000 [6,3,4,5,2,7,1]=>111000 [6,3,4,5,7,1,2]=>101000 [6,3,4,5,7,2,1]=>111000 [6,3,4,7,1,2,5]=>101000 [6,3,4,7,1,5,2]=>111000 [6,3,4,7,2,1,5]=>111000 [6,3,4,7,2,5,1]=>111000 [6,3,4,7,5,1,2]=>101010 [6,3,4,7,5,2,1]=>111010 [6,3,5,1,2,4,7]=>101000 [6,3,5,1,2,7,4]=>101100 [6,3,5,1,4,2,7]=>111000 [6,3,5,1,4,7,2]=>111000 [6,3,5,1,7,2,4]=>111000 [6,3,5,1,7,4,2]=>111100 [6,3,5,2,1,4,7]=>111000 [6,3,5,2,1,7,4]=>111100 [6,3,5,2,4,1,7]=>111000 [6,3,5,2,4,7,1]=>111000 [6,3,5,2,7,1,4]=>111000 [6,3,5,2,7,4,1]=>111100 [6,3,5,4,1,2,7]=>101100 [6,3,5,4,1,7,2]=>111100 [6,3,5,4,2,1,7]=>111100 [6,3,5,4,2,7,1]=>111100 [6,3,5,4,7,1,2]=>101100 [6,3,5,4,7,2,1]=>111100 [6,3,5,7,1,2,4]=>101000 [6,3,5,7,1,4,2]=>111000 [6,3,5,7,2,1,4]=>111000 [6,3,5,7,2,4,1]=>111000 [6,3,5,7,4,1,2]=>101100 [6,3,5,7,4,2,1]=>111100 [6,3,7,1,2,4,5]=>101000 [6,3,7,1,2,5,4]=>101100 [6,3,7,1,4,2,5]=>111000 [6,3,7,1,4,5,2]=>111000 [6,3,7,1,5,2,4]=>111000 [6,3,7,1,5,4,2]=>111100 [6,3,7,2,1,4,5]=>111000 [6,3,7,2,1,5,4]=>111100 [6,3,7,2,4,1,5]=>111000 [6,3,7,2,4,5,1]=>111000 [6,3,7,2,5,1,4]=>111000 [6,3,7,2,5,4,1]=>111100 [6,3,7,4,1,2,5]=>101100 [6,3,7,4,1,5,2]=>111100 [6,3,7,4,2,1,5]=>111100 [6,3,7,4,2,5,1]=>111100 [6,3,7,4,5,1,2]=>101100 [6,3,7,4,5,2,1]=>111100 [6,3,7,5,1,2,4]=>101010 [6,3,7,5,1,4,2]=>111010 [6,3,7,5,2,1,4]=>111010 [6,3,7,5,2,4,1]=>111010 [6,3,7,5,4,1,2]=>101110 [6,3,7,5,4,2,1]=>111110 [6,4,1,2,3,5,7]=>100100 [6,4,1,2,3,7,5]=>100110 [6,4,1,2,5,3,7]=>101100 [6,4,1,2,5,7,3]=>101100 [6,4,1,2,7,3,5]=>101100 [6,4,1,2,7,5,3]=>101110 [6,4,1,3,2,5,7]=>110100 [6,4,1,3,2,7,5]=>110110 [6,4,1,3,5,2,7]=>110100 [6,4,1,3,5,7,2]=>110100 [6,4,1,3,7,2,5]=>110100 [6,4,1,3,7,5,2]=>110110 [6,4,1,5,2,3,7]=>110100 [6,4,1,5,2,7,3]=>111100 [6,4,1,5,3,2,7]=>111100 [6,4,1,5,3,7,2]=>111100 [6,4,1,5,7,2,3]=>110100 [6,4,1,5,7,3,2]=>111100 [6,4,1,7,2,3,5]=>110100 [6,4,1,7,2,5,3]=>111100 [6,4,1,7,3,2,5]=>111100 [6,4,1,7,3,5,2]=>111100 [6,4,1,7,5,2,3]=>110110 [6,4,1,7,5,3,2]=>111110 [6,4,2,1,3,5,7]=>110100 [6,4,2,1,3,7,5]=>110110 [6,4,2,1,5,3,7]=>111100 [6,4,2,1,5,7,3]=>111100 [6,4,2,1,7,3,5]=>111100 [6,4,2,1,7,5,3]=>111110 [6,4,2,3,1,5,7]=>110100 [6,4,2,3,1,7,5]=>110110 [6,4,2,3,5,1,7]=>110100 [6,4,2,3,5,7,1]=>110100 [6,4,2,3,7,1,5]=>110100 [6,4,2,3,7,5,1]=>110110 [6,4,2,5,1,3,7]=>110100 [6,4,2,5,1,7,3]=>111100 [6,4,2,5,3,1,7]=>111100 [6,4,2,5,3,7,1]=>111100 [6,4,2,5,7,1,3]=>110100 [6,4,2,5,7,3,1]=>111100 [6,4,2,7,1,3,5]=>110100 [6,4,2,7,1,5,3]=>111100 [6,4,2,7,3,1,5]=>111100 [6,4,2,7,3,5,1]=>111100 [6,4,2,7,5,1,3]=>110110 [6,4,2,7,5,3,1]=>111110 [6,4,3,1,2,5,7]=>101100 [6,4,3,1,2,7,5]=>101110 [6,4,3,1,5,2,7]=>111100 [6,4,3,1,5,7,2]=>111100 [6,4,3,1,7,2,5]=>111100 [6,4,3,1,7,5,2]=>111110 [6,4,3,2,1,5,7]=>111100 [6,4,3,2,1,7,5]=>111110 [6,4,3,2,5,1,7]=>111100 [6,4,3,2,5,7,1]=>111100 [6,4,3,2,7,1,5]=>111100 [6,4,3,2,7,5,1]=>111110 [6,4,3,5,1,2,7]=>101100 [6,4,3,5,1,7,2]=>111100 [6,4,3,5,2,1,7]=>111100 [6,4,3,5,2,7,1]=>111100 [6,4,3,5,7,1,2]=>101100 [6,4,3,5,7,2,1]=>111100 [6,4,3,7,1,2,5]=>101100 [6,4,3,7,1,5,2]=>111100 [6,4,3,7,2,1,5]=>111100 [6,4,3,7,2,5,1]=>111100 [6,4,3,7,5,1,2]=>101110 [6,4,3,7,5,2,1]=>111110 [6,4,5,1,2,3,7]=>100100 [6,4,5,1,2,7,3]=>101100 [6,4,5,1,3,2,7]=>110100 [6,4,5,1,3,7,2]=>110100 [6,4,5,1,7,2,3]=>110100 [6,4,5,1,7,3,2]=>111100 [6,4,5,2,1,3,7]=>110100 [6,4,5,2,1,7,3]=>111100 [6,4,5,2,3,1,7]=>110100 [6,4,5,2,3,7,1]=>110100 [6,4,5,2,7,1,3]=>110100 [6,4,5,2,7,3,1]=>111100 [6,4,5,3,1,2,7]=>101100 [6,4,5,3,1,7,2]=>111100 [6,4,5,3,2,1,7]=>111100 [6,4,5,3,2,7,1]=>111100 [6,4,5,3,7,1,2]=>101100 [6,4,5,3,7,2,1]=>111100 [6,4,5,7,1,2,3]=>100100 [6,4,5,7,1,3,2]=>110100 [6,4,5,7,2,1,3]=>110100 [6,4,5,7,2,3,1]=>110100 [6,4,5,7,3,1,2]=>101100 [6,4,5,7,3,2,1]=>111100 [6,4,7,1,2,3,5]=>100100 [6,4,7,1,2,5,3]=>101100 [6,4,7,1,3,2,5]=>110100 [6,4,7,1,3,5,2]=>110100 [6,4,7,1,5,2,3]=>110100 [6,4,7,1,5,3,2]=>111100 [6,4,7,2,1,3,5]=>110100 [6,4,7,2,1,5,3]=>111100 [6,4,7,2,3,1,5]=>110100 [6,4,7,2,3,5,1]=>110100 [6,4,7,2,5,1,3]=>110100 [6,4,7,2,5,3,1]=>111100 [6,4,7,3,1,2,5]=>101100 [6,4,7,3,1,5,2]=>111100 [6,4,7,3,2,1,5]=>111100 [6,4,7,3,2,5,1]=>111100 [6,4,7,3,5,1,2]=>101100 [6,4,7,3,5,2,1]=>111100 [6,4,7,5,1,2,3]=>100110 [6,4,7,5,1,3,2]=>110110 [6,4,7,5,2,1,3]=>110110 [6,4,7,5,2,3,1]=>110110 [6,4,7,5,3,1,2]=>101110 [6,4,7,5,3,2,1]=>111110 [6,5,1,2,3,4,7]=>100010 [6,5,1,2,3,7,4]=>100110 [6,5,1,2,4,3,7]=>101010 [6,5,1,2,4,7,3]=>101010 [6,5,1,2,7,3,4]=>101010 [6,5,1,2,7,4,3]=>101110 [6,5,1,3,2,4,7]=>110010 [6,5,1,3,2,7,4]=>110110 [6,5,1,3,4,2,7]=>110010 [6,5,1,3,4,7,2]=>110010 [6,5,1,3,7,2,4]=>110010 [6,5,1,3,7,4,2]=>110110 [6,5,1,4,2,3,7]=>110010 [6,5,1,4,2,7,3]=>111010 [6,5,1,4,3,2,7]=>111010 [6,5,1,4,3,7,2]=>111010 [6,5,1,4,7,2,3]=>110010 [6,5,1,4,7,3,2]=>111010 [6,5,1,7,2,3,4]=>110010 [6,5,1,7,2,4,3]=>111010 [6,5,1,7,3,2,4]=>111010 [6,5,1,7,3,4,2]=>111010 [6,5,1,7,4,2,3]=>110110 [6,5,1,7,4,3,2]=>111110 [6,5,2,1,3,4,7]=>110010 [6,5,2,1,3,7,4]=>110110 [6,5,2,1,4,3,7]=>111010 [6,5,2,1,4,7,3]=>111010 [6,5,2,1,7,3,4]=>111010 [6,5,2,1,7,4,3]=>111110 [6,5,2,3,1,4,7]=>110010 [6,5,2,3,1,7,4]=>110110 [6,5,2,3,4,1,7]=>110010 [6,5,2,3,4,7,1]=>110010 [6,5,2,3,7,1,4]=>110010 [6,5,2,3,7,4,1]=>110110 [6,5,2,4,1,3,7]=>110010 [6,5,2,4,1,7,3]=>111010 [6,5,2,4,3,1,7]=>111010 [6,5,2,4,3,7,1]=>111010 [6,5,2,4,7,1,3]=>110010 [6,5,2,4,7,3,1]=>111010 [6,5,2,7,1,3,4]=>110010 [6,5,2,7,1,4,3]=>111010 [6,5,2,7,3,1,4]=>111010 [6,5,2,7,3,4,1]=>111010 [6,5,2,7,4,1,3]=>110110 [6,5,2,7,4,3,1]=>111110 [6,5,3,1,2,4,7]=>101010 [6,5,3,1,2,7,4]=>101110 [6,5,3,1,4,2,7]=>111010 [6,5,3,1,4,7,2]=>111010 [6,5,3,1,7,2,4]=>111010 [6,5,3,1,7,4,2]=>111110 [6,5,3,2,1,4,7]=>111010 [6,5,3,2,1,7,4]=>111110 [6,5,3,2,4,1,7]=>111010 [6,5,3,2,4,7,1]=>111010 [6,5,3,2,7,1,4]=>111010 [6,5,3,2,7,4,1]=>111110 [6,5,3,4,1,2,7]=>101010 [6,5,3,4,1,7,2]=>111010 [6,5,3,4,2,1,7]=>111010 [6,5,3,4,2,7,1]=>111010 [6,5,3,4,7,1,2]=>101010 [6,5,3,4,7,2,1]=>111010 [6,5,3,7,1,2,4]=>101010 [6,5,3,7,1,4,2]=>111010 [6,5,3,7,2,1,4]=>111010 [6,5,3,7,2,4,1]=>111010 [6,5,3,7,4,1,2]=>101110 [6,5,3,7,4,2,1]=>111110 [6,5,4,1,2,3,7]=>100110 [6,5,4,1,2,7,3]=>101110 [6,5,4,1,3,2,7]=>110110 [6,5,4,1,3,7,2]=>110110 [6,5,4,1,7,2,3]=>110110 [6,5,4,1,7,3,2]=>111110 [6,5,4,2,1,3,7]=>110110 [6,5,4,2,1,7,3]=>111110 [6,5,4,2,3,1,7]=>110110 [6,5,4,2,3,7,1]=>110110 [6,5,4,2,7,1,3]=>110110 [6,5,4,2,7,3,1]=>111110 [6,5,4,3,1,2,7]=>101110 [6,5,4,3,1,7,2]=>111110 [6,5,4,3,2,1,7]=>111110 [6,5,4,3,2,7,1]=>111110 [6,5,4,3,7,1,2]=>101110 [6,5,4,3,7,2,1]=>111110 [6,5,4,7,1,2,3]=>100110 [6,5,4,7,1,3,2]=>110110 [6,5,4,7,2,1,3]=>110110 [6,5,4,7,2,3,1]=>110110 [6,5,4,7,3,1,2]=>101110 [6,5,4,7,3,2,1]=>111110 [6,5,7,1,2,3,4]=>100010 [6,5,7,1,2,4,3]=>101010 [6,5,7,1,3,2,4]=>110010 [6,5,7,1,3,4,2]=>110010 [6,5,7,1,4,2,3]=>110010 [6,5,7,1,4,3,2]=>111010 [6,5,7,2,1,3,4]=>110010 [6,5,7,2,1,4,3]=>111010 [6,5,7,2,3,1,4]=>110010 [6,5,7,2,3,4,1]=>110010 [6,5,7,2,4,1,3]=>110010 [6,5,7,2,4,3,1]=>111010 [6,5,7,3,1,2,4]=>101010 [6,5,7,3,1,4,2]=>111010 [6,5,7,3,2,1,4]=>111010 [6,5,7,3,2,4,1]=>111010 [6,5,7,3,4,1,2]=>101010 [6,5,7,3,4,2,1]=>111010 [6,5,7,4,1,2,3]=>100110 [6,5,7,4,1,3,2]=>110110 [6,5,7,4,2,1,3]=>110110 [6,5,7,4,2,3,1]=>110110 [6,5,7,4,3,1,2]=>101110 [6,5,7,4,3,2,1]=>111110 [6,7,1,2,3,4,5]=>100000 [6,7,1,2,3,5,4]=>100100 [6,7,1,2,4,3,5]=>101000 [6,7,1,2,4,5,3]=>101000 [6,7,1,2,5,3,4]=>101000 [6,7,1,2,5,4,3]=>101100 [6,7,1,3,2,4,5]=>110000 [6,7,1,3,2,5,4]=>110100 [6,7,1,3,4,2,5]=>110000 [6,7,1,3,4,5,2]=>110000 [6,7,1,3,5,2,4]=>110000 [6,7,1,3,5,4,2]=>110100 [6,7,1,4,2,3,5]=>110000 [6,7,1,4,2,5,3]=>111000 [6,7,1,4,3,2,5]=>111000 [6,7,1,4,3,5,2]=>111000 [6,7,1,4,5,2,3]=>110000 [6,7,1,4,5,3,2]=>111000 [6,7,1,5,2,3,4]=>110000 [6,7,1,5,2,4,3]=>111000 [6,7,1,5,3,2,4]=>111000 [6,7,1,5,3,4,2]=>111000 [6,7,1,5,4,2,3]=>110100 [6,7,1,5,4,3,2]=>111100 [6,7,2,1,3,4,5]=>110000 [6,7,2,1,3,5,4]=>110100 [6,7,2,1,4,3,5]=>111000 [6,7,2,1,4,5,3]=>111000 [6,7,2,1,5,3,4]=>111000 [6,7,2,1,5,4,3]=>111100 [6,7,2,3,1,4,5]=>110000 [6,7,2,3,1,5,4]=>110100 [6,7,2,3,4,1,5]=>110000 [6,7,2,3,4,5,1]=>110000 [6,7,2,3,5,1,4]=>110000 [6,7,2,3,5,4,1]=>110100 [6,7,2,4,1,3,5]=>110000 [6,7,2,4,1,5,3]=>111000 [6,7,2,4,3,1,5]=>111000 [6,7,2,4,3,5,1]=>111000 [6,7,2,4,5,1,3]=>110000 [6,7,2,4,5,3,1]=>111000 [6,7,2,5,1,3,4]=>110000 [6,7,2,5,1,4,3]=>111000 [6,7,2,5,3,1,4]=>111000 [6,7,2,5,3,4,1]=>111000 [6,7,2,5,4,1,3]=>110100 [6,7,2,5,4,3,1]=>111100 [6,7,3,1,2,4,5]=>101000 [6,7,3,1,2,5,4]=>101100 [6,7,3,1,4,2,5]=>111000 [6,7,3,1,4,5,2]=>111000 [6,7,3,1,5,2,4]=>111000 [6,7,3,1,5,4,2]=>111100 [6,7,3,2,1,4,5]=>111000 [6,7,3,2,1,5,4]=>111100 [6,7,3,2,4,1,5]=>111000 [6,7,3,2,4,5,1]=>111000 [6,7,3,2,5,1,4]=>111000 [6,7,3,2,5,4,1]=>111100 [6,7,3,4,1,2,5]=>101000 [6,7,3,4,1,5,2]=>111000 [6,7,3,4,2,1,5]=>111000 [6,7,3,4,2,5,1]=>111000 [6,7,3,4,5,1,2]=>101000 [6,7,3,4,5,2,1]=>111000 [6,7,3,5,1,2,4]=>101000 [6,7,3,5,1,4,2]=>111000 [6,7,3,5,2,1,4]=>111000 [6,7,3,5,2,4,1]=>111000 [6,7,3,5,4,1,2]=>101100 [6,7,3,5,4,2,1]=>111100 [6,7,4,1,2,3,5]=>100100 [6,7,4,1,2,5,3]=>101100 [6,7,4,1,3,2,5]=>110100 [6,7,4,1,3,5,2]=>110100 [6,7,4,1,5,2,3]=>110100 [6,7,4,1,5,3,2]=>111100 [6,7,4,2,1,3,5]=>110100 [6,7,4,2,1,5,3]=>111100 [6,7,4,2,3,1,5]=>110100 [6,7,4,2,3,5,1]=>110100 [6,7,4,2,5,1,3]=>110100 [6,7,4,2,5,3,1]=>111100 [6,7,4,3,1,2,5]=>101100 [6,7,4,3,1,5,2]=>111100 [6,7,4,3,2,1,5]=>111100 [6,7,4,3,2,5,1]=>111100 [6,7,4,3,5,1,2]=>101100 [6,7,4,3,5,2,1]=>111100 [6,7,4,5,1,2,3]=>100100 [6,7,4,5,1,3,2]=>110100 [6,7,4,5,2,1,3]=>110100 [6,7,4,5,2,3,1]=>110100 [6,7,4,5,3,1,2]=>101100 [6,7,4,5,3,2,1]=>111100 [6,7,5,1,2,3,4]=>100010 [6,7,5,1,2,4,3]=>101010 [6,7,5,1,3,2,4]=>110010 [6,7,5,1,3,4,2]=>110010 [6,7,5,1,4,2,3]=>110010 [6,7,5,1,4,3,2]=>111010 [6,7,5,2,1,3,4]=>110010 [6,7,5,2,1,4,3]=>111010 [6,7,5,2,3,1,4]=>110010 [6,7,5,2,3,4,1]=>110010 [6,7,5,2,4,1,3]=>110010 [6,7,5,2,4,3,1]=>111010 [6,7,5,3,1,2,4]=>101010 [6,7,5,3,1,4,2]=>111010 [6,7,5,3,2,1,4]=>111010 [6,7,5,3,2,4,1]=>111010 [6,7,5,3,4,1,2]=>101010 [6,7,5,3,4,2,1]=>111010 [6,7,5,4,1,2,3]=>100110 [6,7,5,4,1,3,2]=>110110 [6,7,5,4,2,1,3]=>110110 [6,7,5,4,2,3,1]=>110110 [6,7,5,4,3,1,2]=>101110 [6,7,5,4,3,2,1]=>111110 [7,1,2,3,4,5,6]=>100000 [7,1,2,3,4,6,5]=>100010 [7,1,2,3,5,4,6]=>100100 [7,1,2,3,5,6,4]=>100100 [7,1,2,3,6,4,5]=>100100 [7,1,2,3,6,5,4]=>100110 [7,1,2,4,3,5,6]=>101000 [7,1,2,4,3,6,5]=>101010 [7,1,2,4,5,3,6]=>101000 [7,1,2,4,5,6,3]=>101000 [7,1,2,4,6,3,5]=>101000 [7,1,2,4,6,5,3]=>101010 [7,1,2,5,3,4,6]=>101000 [7,1,2,5,3,6,4]=>101100 [7,1,2,5,4,3,6]=>101100 [7,1,2,5,4,6,3]=>101100 [7,1,2,5,6,3,4]=>101000 [7,1,2,5,6,4,3]=>101100 [7,1,2,6,3,4,5]=>101000 [7,1,2,6,3,5,4]=>101100 [7,1,2,6,4,3,5]=>101100 [7,1,2,6,4,5,3]=>101100 [7,1,2,6,5,3,4]=>101010 [7,1,2,6,5,4,3]=>101110 [7,1,3,2,4,5,6]=>110000 [7,1,3,2,4,6,5]=>110010 [7,1,3,2,5,4,6]=>110100 [7,1,3,2,5,6,4]=>110100 [7,1,3,2,6,4,5]=>110100 [7,1,3,2,6,5,4]=>110110 [7,1,3,4,2,5,6]=>110000 [7,1,3,4,2,6,5]=>110010 [7,1,3,4,5,2,6]=>110000 [7,1,3,4,5,6,2]=>110000 [7,1,3,4,6,2,5]=>110000 [7,1,3,4,6,5,2]=>110010 [7,1,3,5,2,4,6]=>110000 [7,1,3,5,2,6,4]=>110100 [7,1,3,5,4,2,6]=>110100 [7,1,3,5,4,6,2]=>110100 [7,1,3,5,6,2,4]=>110000 [7,1,3,5,6,4,2]=>110100 [7,1,3,6,2,4,5]=>110000 [7,1,3,6,2,5,4]=>110100 [7,1,3,6,4,2,5]=>110100 [7,1,3,6,4,5,2]=>110100 [7,1,3,6,5,2,4]=>110010 [7,1,3,6,5,4,2]=>110110 [7,1,4,2,3,5,6]=>110000 [7,1,4,2,3,6,5]=>110010 [7,1,4,2,5,3,6]=>111000 [7,1,4,2,5,6,3]=>111000 [7,1,4,2,6,3,5]=>111000 [7,1,4,2,6,5,3]=>111010 [7,1,4,3,2,5,6]=>111000 [7,1,4,3,2,6,5]=>111010 [7,1,4,3,5,2,6]=>111000 [7,1,4,3,5,6,2]=>111000 [7,1,4,3,6,2,5]=>111000 [7,1,4,3,6,5,2]=>111010 [7,1,4,5,2,3,6]=>110000 [7,1,4,5,2,6,3]=>111000 [7,1,4,5,3,2,6]=>111000 [7,1,4,5,3,6,2]=>111000 [7,1,4,5,6,2,3]=>110000 [7,1,4,5,6,3,2]=>111000 [7,1,4,6,2,3,5]=>110000 [7,1,4,6,2,5,3]=>111000 [7,1,4,6,3,2,5]=>111000 [7,1,4,6,3,5,2]=>111000 [7,1,4,6,5,2,3]=>110010 [7,1,4,6,5,3,2]=>111010 [7,1,5,2,3,4,6]=>110000 [7,1,5,2,3,6,4]=>110100 [7,1,5,2,4,3,6]=>111000 [7,1,5,2,4,6,3]=>111000 [7,1,5,2,6,3,4]=>111000 [7,1,5,2,6,4,3]=>111100 [7,1,5,3,2,4,6]=>111000 [7,1,5,3,2,6,4]=>111100 [7,1,5,3,4,2,6]=>111000 [7,1,5,3,4,6,2]=>111000 [7,1,5,3,6,2,4]=>111000 [7,1,5,3,6,4,2]=>111100 [7,1,5,4,2,3,6]=>110100 [7,1,5,4,2,6,3]=>111100 [7,1,5,4,3,2,6]=>111100 [7,1,5,4,3,6,2]=>111100 [7,1,5,4,6,2,3]=>110100 [7,1,5,4,6,3,2]=>111100 [7,1,5,6,2,3,4]=>110000 [7,1,5,6,2,4,3]=>111000 [7,1,5,6,3,2,4]=>111000 [7,1,5,6,3,4,2]=>111000 [7,1,5,6,4,2,3]=>110100 [7,1,5,6,4,3,2]=>111100 [7,1,6,2,3,4,5]=>110000 [7,1,6,2,3,5,4]=>110100 [7,1,6,2,4,3,5]=>111000 [7,1,6,2,4,5,3]=>111000 [7,1,6,2,5,3,4]=>111000 [7,1,6,2,5,4,3]=>111100 [7,1,6,3,2,4,5]=>111000 [7,1,6,3,2,5,4]=>111100 [7,1,6,3,4,2,5]=>111000 [7,1,6,3,4,5,2]=>111000 [7,1,6,3,5,2,4]=>111000 [7,1,6,3,5,4,2]=>111100 [7,1,6,4,2,3,5]=>110100 [7,1,6,4,2,5,3]=>111100 [7,1,6,4,3,2,5]=>111100 [7,1,6,4,3,5,2]=>111100 [7,1,6,4,5,2,3]=>110100 [7,1,6,4,5,3,2]=>111100 [7,1,6,5,2,3,4]=>110010 [7,1,6,5,2,4,3]=>111010 [7,1,6,5,3,2,4]=>111010 [7,1,6,5,3,4,2]=>111010 [7,1,6,5,4,2,3]=>110110 [7,1,6,5,4,3,2]=>111110 [7,2,1,3,4,5,6]=>110000 [7,2,1,3,4,6,5]=>110010 [7,2,1,3,5,4,6]=>110100 [7,2,1,3,5,6,4]=>110100 [7,2,1,3,6,4,5]=>110100 [7,2,1,3,6,5,4]=>110110 [7,2,1,4,3,5,6]=>111000 [7,2,1,4,3,6,5]=>111010 [7,2,1,4,5,3,6]=>111000 [7,2,1,4,5,6,3]=>111000 [7,2,1,4,6,3,5]=>111000 [7,2,1,4,6,5,3]=>111010 [7,2,1,5,3,4,6]=>111000 [7,2,1,5,3,6,4]=>111100 [7,2,1,5,4,3,6]=>111100 [7,2,1,5,4,6,3]=>111100 [7,2,1,5,6,3,4]=>111000 [7,2,1,5,6,4,3]=>111100 [7,2,1,6,3,4,5]=>111000 [7,2,1,6,3,5,4]=>111100 [7,2,1,6,4,3,5]=>111100 [7,2,1,6,4,5,3]=>111100 [7,2,1,6,5,3,4]=>111010 [7,2,1,6,5,4,3]=>111110 [7,2,3,1,4,5,6]=>110000 [7,2,3,1,4,6,5]=>110010 [7,2,3,1,5,4,6]=>110100 [7,2,3,1,5,6,4]=>110100 [7,2,3,1,6,4,5]=>110100 [7,2,3,1,6,5,4]=>110110 [7,2,3,4,1,5,6]=>110000 [7,2,3,4,1,6,5]=>110010 [7,2,3,4,5,1,6]=>110000 [7,2,3,4,5,6,1]=>110000 [7,2,3,4,6,1,5]=>110000 [7,2,3,4,6,5,1]=>110010 [7,2,3,5,1,4,6]=>110000 [7,2,3,5,1,6,4]=>110100 [7,2,3,5,4,1,6]=>110100 [7,2,3,5,4,6,1]=>110100 [7,2,3,5,6,1,4]=>110000 [7,2,3,5,6,4,1]=>110100 [7,2,3,6,1,4,5]=>110000 [7,2,3,6,1,5,4]=>110100 [7,2,3,6,4,1,5]=>110100 [7,2,3,6,4,5,1]=>110100 [7,2,3,6,5,1,4]=>110010 [7,2,3,6,5,4,1]=>110110 [7,2,4,1,3,5,6]=>110000 [7,2,4,1,3,6,5]=>110010 [7,2,4,1,5,3,6]=>111000 [7,2,4,1,5,6,3]=>111000 [7,2,4,1,6,3,5]=>111000 [7,2,4,1,6,5,3]=>111010 [7,2,4,3,1,5,6]=>111000 [7,2,4,3,1,6,5]=>111010 [7,2,4,3,5,1,6]=>111000 [7,2,4,3,5,6,1]=>111000 [7,2,4,3,6,1,5]=>111000 [7,2,4,3,6,5,1]=>111010 [7,2,4,5,1,3,6]=>110000 [7,2,4,5,1,6,3]=>111000 [7,2,4,5,3,1,6]=>111000 [7,2,4,5,3,6,1]=>111000 [7,2,4,5,6,1,3]=>110000 [7,2,4,5,6,3,1]=>111000 [7,2,4,6,1,3,5]=>110000 [7,2,4,6,1,5,3]=>111000 [7,2,4,6,3,1,5]=>111000 [7,2,4,6,3,5,1]=>111000 [7,2,4,6,5,1,3]=>110010 [7,2,4,6,5,3,1]=>111010 [7,2,5,1,3,4,6]=>110000 [7,2,5,1,3,6,4]=>110100 [7,2,5,1,4,3,6]=>111000 [7,2,5,1,4,6,3]=>111000 [7,2,5,1,6,3,4]=>111000 [7,2,5,1,6,4,3]=>111100 [7,2,5,3,1,4,6]=>111000 [7,2,5,3,1,6,4]=>111100 [7,2,5,3,4,1,6]=>111000 [7,2,5,3,4,6,1]=>111000 [7,2,5,3,6,1,4]=>111000 [7,2,5,3,6,4,1]=>111100 [7,2,5,4,1,3,6]=>110100 [7,2,5,4,1,6,3]=>111100 [7,2,5,4,3,1,6]=>111100 [7,2,5,4,3,6,1]=>111100 [7,2,5,4,6,1,3]=>110100 [7,2,5,4,6,3,1]=>111100 [7,2,5,6,1,3,4]=>110000 [7,2,5,6,1,4,3]=>111000 [7,2,5,6,3,1,4]=>111000 [7,2,5,6,3,4,1]=>111000 [7,2,5,6,4,1,3]=>110100 [7,2,5,6,4,3,1]=>111100 [7,2,6,1,3,4,5]=>110000 [7,2,6,1,3,5,4]=>110100 [7,2,6,1,4,3,5]=>111000 [7,2,6,1,4,5,3]=>111000 [7,2,6,1,5,3,4]=>111000 [7,2,6,1,5,4,3]=>111100 [7,2,6,3,1,4,5]=>111000 [7,2,6,3,1,5,4]=>111100 [7,2,6,3,4,1,5]=>111000 [7,2,6,3,4,5,1]=>111000 [7,2,6,3,5,1,4]=>111000 [7,2,6,3,5,4,1]=>111100 [7,2,6,4,1,3,5]=>110100 [7,2,6,4,1,5,3]=>111100 [7,2,6,4,3,1,5]=>111100 [7,2,6,4,3,5,1]=>111100 [7,2,6,4,5,1,3]=>110100 [7,2,6,4,5,3,1]=>111100 [7,2,6,5,1,3,4]=>110010 [7,2,6,5,1,4,3]=>111010 [7,2,6,5,3,1,4]=>111010 [7,2,6,5,3,4,1]=>111010 [7,2,6,5,4,1,3]=>110110 [7,2,6,5,4,3,1]=>111110 [7,3,1,2,4,5,6]=>101000 [7,3,1,2,4,6,5]=>101010 [7,3,1,2,5,4,6]=>101100 [7,3,1,2,5,6,4]=>101100 [7,3,1,2,6,4,5]=>101100 [7,3,1,2,6,5,4]=>101110 [7,3,1,4,2,5,6]=>111000 [7,3,1,4,2,6,5]=>111010 [7,3,1,4,5,2,6]=>111000 [7,3,1,4,5,6,2]=>111000 [7,3,1,4,6,2,5]=>111000 [7,3,1,4,6,5,2]=>111010 [7,3,1,5,2,4,6]=>111000 [7,3,1,5,2,6,4]=>111100 [7,3,1,5,4,2,6]=>111100 [7,3,1,5,4,6,2]=>111100 [7,3,1,5,6,2,4]=>111000 [7,3,1,5,6,4,2]=>111100 [7,3,1,6,2,4,5]=>111000 [7,3,1,6,2,5,4]=>111100 [7,3,1,6,4,2,5]=>111100 [7,3,1,6,4,5,2]=>111100 [7,3,1,6,5,2,4]=>111010 [7,3,1,6,5,4,2]=>111110 [7,3,2,1,4,5,6]=>111000 [7,3,2,1,4,6,5]=>111010 [7,3,2,1,5,4,6]=>111100 [7,3,2,1,5,6,4]=>111100 [7,3,2,1,6,4,5]=>111100 [7,3,2,1,6,5,4]=>111110 [7,3,2,4,1,5,6]=>111000 [7,3,2,4,1,6,5]=>111010 [7,3,2,4,5,1,6]=>111000 [7,3,2,4,5,6,1]=>111000 [7,3,2,4,6,1,5]=>111000 [7,3,2,4,6,5,1]=>111010 [7,3,2,5,1,4,6]=>111000 [7,3,2,5,1,6,4]=>111100 [7,3,2,5,4,1,6]=>111100 [7,3,2,5,4,6,1]=>111100 [7,3,2,5,6,1,4]=>111000 [7,3,2,5,6,4,1]=>111100 [7,3,2,6,1,4,5]=>111000 [7,3,2,6,1,5,4]=>111100 [7,3,2,6,4,1,5]=>111100 [7,3,2,6,4,5,1]=>111100 [7,3,2,6,5,1,4]=>111010 [7,3,2,6,5,4,1]=>111110 [7,3,4,1,2,5,6]=>101000 [7,3,4,1,2,6,5]=>101010 [7,3,4,1,5,2,6]=>111000 [7,3,4,1,5,6,2]=>111000 [7,3,4,1,6,2,5]=>111000 [7,3,4,1,6,5,2]=>111010 [7,3,4,2,1,5,6]=>111000 [7,3,4,2,1,6,5]=>111010 [7,3,4,2,5,1,6]=>111000 [7,3,4,2,5,6,1]=>111000 [7,3,4,2,6,1,5]=>111000 [7,3,4,2,6,5,1]=>111010 [7,3,4,5,1,2,6]=>101000 [7,3,4,5,1,6,2]=>111000 [7,3,4,5,2,1,6]=>111000 [7,3,4,5,2,6,1]=>111000 [7,3,4,5,6,1,2]=>101000 [7,3,4,5,6,2,1]=>111000 [7,3,4,6,1,2,5]=>101000 [7,3,4,6,1,5,2]=>111000 [7,3,4,6,2,1,5]=>111000 [7,3,4,6,2,5,1]=>111000 [7,3,4,6,5,1,2]=>101010 [7,3,4,6,5,2,1]=>111010 [7,3,5,1,2,4,6]=>101000 [7,3,5,1,2,6,4]=>101100 [7,3,5,1,4,2,6]=>111000 [7,3,5,1,4,6,2]=>111000 [7,3,5,1,6,2,4]=>111000 [7,3,5,1,6,4,2]=>111100 [7,3,5,2,1,4,6]=>111000 [7,3,5,2,1,6,4]=>111100 [7,3,5,2,4,1,6]=>111000 [7,3,5,2,4,6,1]=>111000 [7,3,5,2,6,1,4]=>111000 [7,3,5,2,6,4,1]=>111100 [7,3,5,4,1,2,6]=>101100 [7,3,5,4,1,6,2]=>111100 [7,3,5,4,2,1,6]=>111100 [7,3,5,4,2,6,1]=>111100 [7,3,5,4,6,1,2]=>101100 [7,3,5,4,6,2,1]=>111100 [7,3,5,6,1,2,4]=>101000 [7,3,5,6,1,4,2]=>111000 [7,3,5,6,2,1,4]=>111000 [7,3,5,6,2,4,1]=>111000 [7,3,5,6,4,1,2]=>101100 [7,3,5,6,4,2,1]=>111100 [7,3,6,1,2,4,5]=>101000 [7,3,6,1,2,5,4]=>101100 [7,3,6,1,4,2,5]=>111000 [7,3,6,1,4,5,2]=>111000 [7,3,6,1,5,2,4]=>111000 [7,3,6,1,5,4,2]=>111100 [7,3,6,2,1,4,5]=>111000 [7,3,6,2,1,5,4]=>111100 [7,3,6,2,4,1,5]=>111000 [7,3,6,2,4,5,1]=>111000 [7,3,6,2,5,1,4]=>111000 [7,3,6,2,5,4,1]=>111100 [7,3,6,4,1,2,5]=>101100 [7,3,6,4,1,5,2]=>111100 [7,3,6,4,2,1,5]=>111100 [7,3,6,4,2,5,1]=>111100 [7,3,6,4,5,1,2]=>101100 [7,3,6,4,5,2,1]=>111100 [7,3,6,5,1,2,4]=>101010 [7,3,6,5,1,4,2]=>111010 [7,3,6,5,2,1,4]=>111010 [7,3,6,5,2,4,1]=>111010 [7,3,6,5,4,1,2]=>101110 [7,3,6,5,4,2,1]=>111110 [7,4,1,2,3,5,6]=>100100 [7,4,1,2,3,6,5]=>100110 [7,4,1,2,5,3,6]=>101100 [7,4,1,2,5,6,3]=>101100 [7,4,1,2,6,3,5]=>101100 [7,4,1,2,6,5,3]=>101110 [7,4,1,3,2,5,6]=>110100 [7,4,1,3,2,6,5]=>110110 [7,4,1,3,5,2,6]=>110100 [7,4,1,3,5,6,2]=>110100 [7,4,1,3,6,2,5]=>110100 [7,4,1,3,6,5,2]=>110110 [7,4,1,5,2,3,6]=>110100 [7,4,1,5,2,6,3]=>111100 [7,4,1,5,3,2,6]=>111100 [7,4,1,5,3,6,2]=>111100 [7,4,1,5,6,2,3]=>110100 [7,4,1,5,6,3,2]=>111100 [7,4,1,6,2,3,5]=>110100 [7,4,1,6,2,5,3]=>111100 [7,4,1,6,3,2,5]=>111100 [7,4,1,6,3,5,2]=>111100 [7,4,1,6,5,2,3]=>110110 [7,4,1,6,5,3,2]=>111110 [7,4,2,1,3,5,6]=>110100 [7,4,2,1,3,6,5]=>110110 [7,4,2,1,5,3,6]=>111100 [7,4,2,1,5,6,3]=>111100 [7,4,2,1,6,3,5]=>111100 [7,4,2,1,6,5,3]=>111110 [7,4,2,3,1,5,6]=>110100 [7,4,2,3,1,6,5]=>110110 [7,4,2,3,5,1,6]=>110100 [7,4,2,3,5,6,1]=>110100 [7,4,2,3,6,1,5]=>110100 [7,4,2,3,6,5,1]=>110110 [7,4,2,5,1,3,6]=>110100 [7,4,2,5,1,6,3]=>111100 [7,4,2,5,3,1,6]=>111100 [7,4,2,5,3,6,1]=>111100 [7,4,2,5,6,1,3]=>110100 [7,4,2,5,6,3,1]=>111100 [7,4,2,6,1,3,5]=>110100 [7,4,2,6,1,5,3]=>111100 [7,4,2,6,3,1,5]=>111100 [7,4,2,6,3,5,1]=>111100 [7,4,2,6,5,1,3]=>110110 [7,4,2,6,5,3,1]=>111110 [7,4,3,1,2,5,6]=>101100 [7,4,3,1,2,6,5]=>101110 [7,4,3,1,5,2,6]=>111100 [7,4,3,1,5,6,2]=>111100 [7,4,3,1,6,2,5]=>111100 [7,4,3,1,6,5,2]=>111110 [7,4,3,2,1,5,6]=>111100 [7,4,3,2,1,6,5]=>111110 [7,4,3,2,5,1,6]=>111100 [7,4,3,2,5,6,1]=>111100 [7,4,3,2,6,1,5]=>111100 [7,4,3,2,6,5,1]=>111110 [7,4,3,5,1,2,6]=>101100 [7,4,3,5,1,6,2]=>111100 [7,4,3,5,2,1,6]=>111100 [7,4,3,5,2,6,1]=>111100 [7,4,3,5,6,1,2]=>101100 [7,4,3,5,6,2,1]=>111100 [7,4,3,6,1,2,5]=>101100 [7,4,3,6,1,5,2]=>111100 [7,4,3,6,2,1,5]=>111100 [7,4,3,6,2,5,1]=>111100 [7,4,3,6,5,1,2]=>101110 [7,4,3,6,5,2,1]=>111110 [7,4,5,1,2,3,6]=>100100 [7,4,5,1,2,6,3]=>101100 [7,4,5,1,3,2,6]=>110100 [7,4,5,1,3,6,2]=>110100 [7,4,5,1,6,2,3]=>110100 [7,4,5,1,6,3,2]=>111100 [7,4,5,2,1,3,6]=>110100 [7,4,5,2,1,6,3]=>111100 [7,4,5,2,3,1,6]=>110100 [7,4,5,2,3,6,1]=>110100 [7,4,5,2,6,1,3]=>110100 [7,4,5,2,6,3,1]=>111100 [7,4,5,3,1,2,6]=>101100 [7,4,5,3,1,6,2]=>111100 [7,4,5,3,2,1,6]=>111100 [7,4,5,3,2,6,1]=>111100 [7,4,5,3,6,1,2]=>101100 [7,4,5,3,6,2,1]=>111100 [7,4,5,6,1,2,3]=>100100 [7,4,5,6,1,3,2]=>110100 [7,4,5,6,2,1,3]=>110100 [7,4,5,6,2,3,1]=>110100 [7,4,5,6,3,1,2]=>101100 [7,4,5,6,3,2,1]=>111100 [7,4,6,1,2,3,5]=>100100 [7,4,6,1,2,5,3]=>101100 [7,4,6,1,3,2,5]=>110100 [7,4,6,1,3,5,2]=>110100 [7,4,6,1,5,2,3]=>110100 [7,4,6,1,5,3,2]=>111100 [7,4,6,2,1,3,5]=>110100 [7,4,6,2,1,5,3]=>111100 [7,4,6,2,3,1,5]=>110100 [7,4,6,2,3,5,1]=>110100 [7,4,6,2,5,1,3]=>110100 [7,4,6,2,5,3,1]=>111100 [7,4,6,3,1,2,5]=>101100 [7,4,6,3,1,5,2]=>111100 [7,4,6,3,2,1,5]=>111100 [7,4,6,3,2,5,1]=>111100 [7,4,6,3,5,1,2]=>101100 [7,4,6,3,5,2,1]=>111100 [7,4,6,5,1,2,3]=>100110 [7,4,6,5,1,3,2]=>110110 [7,4,6,5,2,1,3]=>110110 [7,4,6,5,2,3,1]=>110110 [7,4,6,5,3,1,2]=>101110 [7,4,6,5,3,2,1]=>111110 [7,5,1,2,3,4,6]=>100010 [7,5,1,2,3,6,4]=>100110 [7,5,1,2,4,3,6]=>101010 [7,5,1,2,4,6,3]=>101010 [7,5,1,2,6,3,4]=>101010 [7,5,1,2,6,4,3]=>101110 [7,5,1,3,2,4,6]=>110010 [7,5,1,3,2,6,4]=>110110 [7,5,1,3,4,2,6]=>110010 [7,5,1,3,4,6,2]=>110010 [7,5,1,3,6,2,4]=>110010 [7,5,1,3,6,4,2]=>110110 [7,5,1,4,2,3,6]=>110010 [7,5,1,4,2,6,3]=>111010 [7,5,1,4,3,2,6]=>111010 [7,5,1,4,3,6,2]=>111010 [7,5,1,4,6,2,3]=>110010 [7,5,1,4,6,3,2]=>111010 [7,5,1,6,2,3,4]=>110010 [7,5,1,6,2,4,3]=>111010 [7,5,1,6,3,2,4]=>111010 [7,5,1,6,3,4,2]=>111010 [7,5,1,6,4,2,3]=>110110 [7,5,1,6,4,3,2]=>111110 [7,5,2,1,3,4,6]=>110010 [7,5,2,1,3,6,4]=>110110 [7,5,2,1,4,3,6]=>111010 [7,5,2,1,4,6,3]=>111010 [7,5,2,1,6,3,4]=>111010 [7,5,2,1,6,4,3]=>111110 [7,5,2,3,1,4,6]=>110010 [7,5,2,3,1,6,4]=>110110 [7,5,2,3,4,1,6]=>110010 [7,5,2,3,4,6,1]=>110010 [7,5,2,3,6,1,4]=>110010 [7,5,2,3,6,4,1]=>110110 [7,5,2,4,1,3,6]=>110010 [7,5,2,4,1,6,3]=>111010 [7,5,2,4,3,1,6]=>111010 [7,5,2,4,3,6,1]=>111010 [7,5,2,4,6,1,3]=>110010 [7,5,2,4,6,3,1]=>111010 [7,5,2,6,1,3,4]=>110010 [7,5,2,6,1,4,3]=>111010 [7,5,2,6,3,1,4]=>111010 [7,5,2,6,3,4,1]=>111010 [7,5,2,6,4,1,3]=>110110 [7,5,2,6,4,3,1]=>111110 [7,5,3,1,2,4,6]=>101010 [7,5,3,1,2,6,4]=>101110 [7,5,3,1,4,2,6]=>111010 [7,5,3,1,4,6,2]=>111010 [7,5,3,1,6,2,4]=>111010 [7,5,3,1,6,4,2]=>111110 [7,5,3,2,1,4,6]=>111010 [7,5,3,2,1,6,4]=>111110 [7,5,3,2,4,1,6]=>111010 [7,5,3,2,4,6,1]=>111010 [7,5,3,2,6,1,4]=>111010 [7,5,3,2,6,4,1]=>111110 [7,5,3,4,1,2,6]=>101010 [7,5,3,4,1,6,2]=>111010 [7,5,3,4,2,1,6]=>111010 [7,5,3,4,2,6,1]=>111010 [7,5,3,4,6,1,2]=>101010 [7,5,3,4,6,2,1]=>111010 [7,5,3,6,1,2,4]=>101010 [7,5,3,6,1,4,2]=>111010 [7,5,3,6,2,1,4]=>111010 [7,5,3,6,2,4,1]=>111010 [7,5,3,6,4,1,2]=>101110 [7,5,3,6,4,2,1]=>111110 [7,5,4,1,2,3,6]=>100110 [7,5,4,1,2,6,3]=>101110 [7,5,4,1,3,2,6]=>110110 [7,5,4,1,3,6,2]=>110110 [7,5,4,1,6,2,3]=>110110 [7,5,4,1,6,3,2]=>111110 [7,5,4,2,1,3,6]=>110110 [7,5,4,2,1,6,3]=>111110 [7,5,4,2,3,1,6]=>110110 [7,5,4,2,3,6,1]=>110110 [7,5,4,2,6,1,3]=>110110 [7,5,4,2,6,3,1]=>111110 [7,5,4,3,1,2,6]=>101110 [7,5,4,3,1,6,2]=>111110 [7,5,4,3,2,1,6]=>111110 [7,5,4,3,2,6,1]=>111110 [7,5,4,3,6,1,2]=>101110 [7,5,4,3,6,2,1]=>111110 [7,5,4,6,1,2,3]=>100110 [7,5,4,6,1,3,2]=>110110 [7,5,4,6,2,1,3]=>110110 [7,5,4,6,2,3,1]=>110110 [7,5,4,6,3,1,2]=>101110 [7,5,4,6,3,2,1]=>111110 [7,5,6,1,2,3,4]=>100010 [7,5,6,1,2,4,3]=>101010 [7,5,6,1,3,2,4]=>110010 [7,5,6,1,3,4,2]=>110010 [7,5,6,1,4,2,3]=>110010 [7,5,6,1,4,3,2]=>111010 [7,5,6,2,1,3,4]=>110010 [7,5,6,2,1,4,3]=>111010 [7,5,6,2,3,1,4]=>110010 [7,5,6,2,3,4,1]=>110010 [7,5,6,2,4,1,3]=>110010 [7,5,6,2,4,3,1]=>111010 [7,5,6,3,1,2,4]=>101010 [7,5,6,3,1,4,2]=>111010 [7,5,6,3,2,1,4]=>111010 [7,5,6,3,2,4,1]=>111010 [7,5,6,3,4,1,2]=>101010 [7,5,6,3,4,2,1]=>111010 [7,5,6,4,1,2,3]=>100110 [7,5,6,4,1,3,2]=>110110 [7,5,6,4,2,1,3]=>110110 [7,5,6,4,2,3,1]=>110110 [7,5,6,4,3,1,2]=>101110 [7,5,6,4,3,2,1]=>111110 [7,6,1,2,3,4,5]=>100001 [7,6,1,2,3,5,4]=>100101 [7,6,1,2,4,3,5]=>101001 [7,6,1,2,4,5,3]=>101001 [7,6,1,2,5,3,4]=>101001 [7,6,1,2,5,4,3]=>101101 [7,6,1,3,2,4,5]=>110001 [7,6,1,3,2,5,4]=>110101 [7,6,1,3,4,2,5]=>110001 [7,6,1,3,4,5,2]=>110001 [7,6,1,3,5,2,4]=>110001 [7,6,1,3,5,4,2]=>110101 [7,6,1,4,2,3,5]=>110001 [7,6,1,4,2,5,3]=>111001 [7,6,1,4,3,2,5]=>111001 [7,6,1,4,3,5,2]=>111001 [7,6,1,4,5,2,3]=>110001 [7,6,1,4,5,3,2]=>111001 [7,6,1,5,2,3,4]=>110001 [7,6,1,5,2,4,3]=>111001 [7,6,1,5,3,2,4]=>111001 [7,6,1,5,3,4,2]=>111001 [7,6,1,5,4,2,3]=>110101 [7,6,1,5,4,3,2]=>111101 [7,6,2,1,3,4,5]=>110001 [7,6,2,1,3,5,4]=>110101 [7,6,2,1,4,3,5]=>111001 [7,6,2,1,4,5,3]=>111001 [7,6,2,1,5,3,4]=>111001 [7,6,2,1,5,4,3]=>111101 [7,6,2,3,1,4,5]=>110001 [7,6,2,3,1,5,4]=>110101 [7,6,2,3,4,1,5]=>110001 [7,6,2,3,4,5,1]=>110001 [7,6,2,3,5,1,4]=>110001 [7,6,2,3,5,4,1]=>110101 [7,6,2,4,1,3,5]=>110001 [7,6,2,4,1,5,3]=>111001 [7,6,2,4,3,1,5]=>111001 [7,6,2,4,3,5,1]=>111001 [7,6,2,4,5,1,3]=>110001 [7,6,2,4,5,3,1]=>111001 [7,6,2,5,1,3,4]=>110001 [7,6,2,5,1,4,3]=>111001 [7,6,2,5,3,1,4]=>111001 [7,6,2,5,3,4,1]=>111001 [7,6,2,5,4,1,3]=>110101 [7,6,2,5,4,3,1]=>111101 [7,6,3,1,2,4,5]=>101001 [7,6,3,1,2,5,4]=>101101 [7,6,3,1,4,2,5]=>111001 [7,6,3,1,4,5,2]=>111001 [7,6,3,1,5,2,4]=>111001 [7,6,3,1,5,4,2]=>111101 [7,6,3,2,1,4,5]=>111001 [7,6,3,2,1,5,4]=>111101 [7,6,3,2,4,1,5]=>111001 [7,6,3,2,4,5,1]=>111001 [7,6,3,2,5,1,4]=>111001 [7,6,3,2,5,4,1]=>111101 [7,6,3,4,1,2,5]=>101001 [7,6,3,4,1,5,2]=>111001 [7,6,3,4,2,1,5]=>111001 [7,6,3,4,2,5,1]=>111001 [7,6,3,4,5,1,2]=>101001 [7,6,3,4,5,2,1]=>111001 [7,6,3,5,1,2,4]=>101001 [7,6,3,5,1,4,2]=>111001 [7,6,3,5,2,1,4]=>111001 [7,6,3,5,2,4,1]=>111001 [7,6,3,5,4,1,2]=>101101 [7,6,3,5,4,2,1]=>111101 [7,6,4,1,2,3,5]=>100101 [7,6,4,1,2,5,3]=>101101 [7,6,4,1,3,2,5]=>110101 [7,6,4,1,3,5,2]=>110101 [7,6,4,1,5,2,3]=>110101 [7,6,4,1,5,3,2]=>111101 [7,6,4,2,1,3,5]=>110101 [7,6,4,2,1,5,3]=>111101 [7,6,4,2,3,1,5]=>110101 [7,6,4,2,3,5,1]=>110101 [7,6,4,2,5,1,3]=>110101 [7,6,4,2,5,3,1]=>111101 [7,6,4,3,1,2,5]=>101101 [7,6,4,3,1,5,2]=>111101 [7,6,4,3,2,1,5]=>111101 [7,6,4,3,2,5,1]=>111101 [7,6,4,3,5,1,2]=>101101 [7,6,4,3,5,2,1]=>111101 [7,6,4,5,1,2,3]=>100101 [7,6,4,5,1,3,2]=>110101 [7,6,4,5,2,1,3]=>110101 [7,6,4,5,2,3,1]=>110101 [7,6,4,5,3,1,2]=>101101 [7,6,4,5,3,2,1]=>111101 [7,6,5,1,2,3,4]=>100011 [7,6,5,1,2,4,3]=>101011 [7,6,5,1,3,2,4]=>110011 [7,6,5,1,3,4,2]=>110011 [7,6,5,1,4,2,3]=>110011 [7,6,5,1,4,3,2]=>111011 [7,6,5,2,1,3,4]=>110011 [7,6,5,2,1,4,3]=>111011 [7,6,5,2,3,1,4]=>110011 [7,6,5,2,3,4,1]=>110011 [7,6,5,2,4,1,3]=>110011 [7,6,5,2,4,3,1]=>111011 [7,6,5,3,1,2,4]=>101011 [7,6,5,3,1,4,2]=>111011 [7,6,5,3,2,1,4]=>111011 [7,6,5,3,2,4,1]=>111011 [7,6,5,3,4,1,2]=>101011 [7,6,5,3,4,2,1]=>111011 [7,6,5,4,1,2,3]=>100111 [7,6,5,4,1,3,2]=>110111 [7,6,5,4,2,1,3]=>110111 [7,6,5,4,2,3,1]=>110111 [7,6,5,4,3,1,2]=>101111 [7,6,5,4,3,2,1]=>111111 [8,7,6,5,4,3,2,1]=>1111111 [8,7,5,6,3,4,2,1]=>1110101 [8,6,7,5,4,2,3,1]=>1101110 [8,6,5,7,3,2,4,1]=>1110110 [8,5,6,7,2,3,4,1]=>1100100 [7,8,6,5,4,3,1,2]=>1011110 [7,8,5,6,3,4,1,2]=>1010100 [5,6,7,8,3,4,1,2]=>1010000 [7,8,3,4,5,6,1,2]=>1010000 [3,4,5,6,7,8,1,2]=>1000000 [7,6,8,5,4,2,1,3]=>1101110 [6,7,8,5,4,1,2,3]=>1001100 [7,6,5,8,3,2,1,4]=>1110110 [7,5,6,8,2,3,1,4]=>1100100 [6,7,5,8,3,1,2,4]=>1010100 [6,5,7,8,2,1,3,4]=>1100100 [7,8,5,6,1,2,3,4]=>1000100 [5,6,7,8,1,2,3,4]=>1000000 [7,8,1,2,3,4,5,6]=>1000000 [1,2,3,4,5,6,7,8]=>0000000 [2,1,8,7,6,5,4,3]=>1011111 [4,3,2,1,8,7,6,5]=>1110111 [3,4,2,1,7,8,6,5]=>1100110 [2,4,3,1,7,6,8,5]=>1010110 [3,2,4,1,6,8,7,5]=>1100101 [2,3,4,1,6,7,8,5]=>1000100 [2,1,4,3,8,7,6,5]=>1010111 [3,2,1,4,5,8,7,6]=>1100011 [2,3,1,4,5,7,8,6]=>1000010 [6,5,4,3,2,1,8,7]=>1111101 [2,1,6,5,4,3,8,7]=>1011101 [4,3,2,1,6,5,8,7]=>1110101 [2,1,4,3,6,5,8,7]=>1010101 [2,1,3,4,5,6,8,7]=>1000001 [1,4,3,2,7,6,5,8]=>0110110 [1,3,4,2,6,7,5,8]=>0100100 [1,3,2,4,5,7,6,8]=>0100010 [1,2,4,3,6,5,7,8]=>0010100 [2,1,8,5,4,7,6,3]=>1011110 [4,2,3,1,8,6,7,5]=>1100110 [6,3,2,5,4,1,8,7]=>1111001 [8,3,2,5,4,7,6,1]=>1111010 [8,3,2,7,6,5,4,1]=>1111110 [8,5,4,3,2,7,6,1]=>1111110 [8,7,4,3,6,5,2,1]=>1111101 [2,4,1,3,7,5,8,6]=>1000110 [2,1,4,3,7,8,5,6]=>1010100 [2,4,5,6,7,1,8,3]=>1010000 [2,1,5,6,3,4,8,7]=>1010001 [2,5,1,7,3,4,8,6]=>1010010 [2,1,5,7,3,8,4,6]=>1011000 [2,3,5,6,1,7,8,4]=>1001000 [2,6,7,1,3,4,8,5]=>1000100 [2,1,6,7,8,3,4,5]=>1010000 [3,4,1,2,6,5,8,7]=>1000101 [3,1,4,2,6,8,5,7]=>1100100 [3,4,1,2,7,8,5,6]=>1000100 [3,5,1,6,2,4,8,7]=>1100001 [3,1,5,6,2,8,4,7]=>1101000 [3,5,1,7,2,8,4,6]=>1101000 [1,3,5,6,2,7,4,8]=>0101000 [3,6,7,1,2,8,4,5]=>1001000 [3,6,1,7,8,2,4,5]=>1100000 [3,1,2,4,5,8,6,7]=>1000010 [4,5,6,1,2,3,8,7]=>1000001 [4,1,5,6,8,2,3,7]=>1100000 [4,5,7,1,2,8,3,6]=>1010000 [4,5,1,7,8,2,3,6]=>1100000 [1,4,5,6,7,2,3,8]=>0100000 [4,6,7,1,8,2,3,5]=>1100000 [1,4,2,3,7,5,6,8]=>0100100 [4,1,2,3,8,5,6,7]=>1000100 [1,2,5,6,3,4,7,8]=>0010000 [1,5,2,7,3,4,6,8]=>0110000 [5,1,2,8,3,4,6,7]=>1010000 [1,6,7,2,3,4,5,8]=>0100000 [6,1,8,2,3,4,5,7]=>1100000 [5,3,2,6,1,4,8,7]=>1110001 [7,3,2,5,4,8,1,6]=>1111000 [8,4,5,2,3,7,6,1]=>1101010 [7,4,5,2,3,8,1,6]=>1101000 [6,4,5,2,3,1,8,7]=>1101001 [5,4,6,2,1,3,8,7]=>1101001 [3,6,1,5,4,2,8,7]=>1101001 [4,6,5,1,3,2,8,7]=>1100101 [5,6,4,3,1,2,8,7]=>1011001 [7,5,4,3,2,8,1,6]=>1111100 [8,6,4,3,7,2,5,1]=>1111010 [7,6,4,3,8,2,1,5]=>1111010 [6,7,4,3,8,1,2,5]=>1011000 [5,7,4,3,1,8,2,6]=>1111000 [4,7,5,1,3,8,2,6]=>1100100 [3,7,1,5,4,8,2,6]=>1101000 [2,1,7,5,4,8,3,6]=>1011100 [3,8,1,5,4,7,6,2]=>1101010 [4,8,5,1,3,7,6,2]=>1100110 [5,8,4,3,1,7,6,2]=>1111010 [6,8,4,3,7,1,5,2]=>1111000 [7,8,4,3,6,5,1,2]=>1011100 [6,8,5,7,3,1,4,2]=>1110100 [5,8,6,7,1,3,4,2]=>1100010 [4,8,6,1,7,3,5,2]=>1110010 [3,8,1,6,7,4,5,2]=>1101000 [2,1,8,6,7,4,5,3]=>1011010 [2,1,7,6,8,4,3,5]=>1011010 [3,7,1,6,8,4,2,5]=>1101000 [4,7,6,1,8,3,2,5]=>1110010 [5,7,6,8,1,3,2,4]=>1100010 [5,4,7,2,1,8,3,6]=>1111000 [6,4,7,2,8,1,3,5]=>1101000 [7,4,6,2,8,3,1,5]=>1111000 [8,4,6,2,7,3,5,1]=>1111000 [8,3,2,6,7,4,5,1]=>1111000 [7,3,2,6,8,4,1,5]=>1111000 [6,3,2,7,8,1,4,5]=>1110000 [5,3,2,7,1,8,4,6]=>1111000 [4,3,2,1,7,8,5,6]=>1110100 [3,4,1,2,8,7,6,5]=>1000111 [5,3,2,8,1,7,6,4]=>1111010 [6,3,2,8,7,1,5,4]=>1111001 [7,3,2,8,6,5,1,4]=>1110110 [8,4,7,2,6,5,3,1]=>1111100 [7,4,8,2,6,5,1,3]=>1101100 [6,4,8,2,7,1,5,3]=>1111000 [5,4,8,2,1,7,6,3]=>1111010 [4,5,8,1,2,7,6,3]=>1010010 [3,5,1,8,2,7,6,4]=>1101010 [2,1,5,8,3,7,6,4]=>1011010 [2,1,6,8,7,3,5,4]=>1011001 [3,6,1,8,7,2,5,4]=>1101001 [4,6,8,1,7,2,5,3]=>1110000 [5,6,8,7,1,2,4,3]=>1010001 [6,5,8,7,2,1,4,3]=>1110101 [7,5,8,6,2,4,1,3]=>1100110 [8,5,7,6,2,4,3,1]=>1110110 [5,7,8,6,1,4,2,3]=>1100010 [4,7,8,1,6,5,2,3]=>1100100 [3,7,1,8,6,5,2,4]=>1100110 [2,1,7,8,6,5,3,4]=>1010110 [3,8,1,7,6,5,4,2]=>1101110 [4,8,7,1,6,5,3,2]=>1110101 [5,8,7,6,1,4,3,2]=>1110011 [6,8,7,5,4,1,3,2]=>1101101 [6,3,8,1,2,7,4,5]=>1011000 [7,8,4,1,6,2,3,5]=>1101000 [6,5,8,7,3,4,1,2]=>1010101 [4,6,7,3,8,5,1,2]=>1010100 [3,6,7,4,5,8,1,2]=>1001000 [2,6,7,4,5,1,8,3]=>1011000 [1,6,7,4,5,2,3,8]=>0101000 [1,5,4,7,6,2,3,8]=>0101010 [2,5,4,7,6,1,8,3]=>1011010 [3,5,4,7,6,8,1,2]=>1001010 [4,5,3,7,8,6,1,2]=>1010010 [5,4,3,8,7,6,1,2]=>1011011 [6,4,8,3,7,5,1,2]=>1011100 [6,3,8,4,5,7,1,2]=>1011000 [5,3,4,8,6,7,1,2]=>1010010 [4,3,5,6,8,7,1,2]=>1010001 [3,2,5,6,1,8,7,4]=>1101001 [4,2,5,6,8,1,7,3]=>1110000 [5,2,4,8,6,1,7,3]=>1110010 [6,2,8,4,5,1,7,3]=>1111000 [7,8,2,4,5,1,6,3]=>1110000 [7,8,1,4,5,2,3,6]=>1100000 [6,1,8,4,5,2,3,7]=>1101000 [5,1,4,8,6,2,3,7]=>1100010 [4,1,3,2,8,6,5,7]=>1100110 [5,1,3,8,2,6,4,7]=>1101000 [6,1,8,3,2,5,4,7]=>1111000 [7,8,1,3,2,5,4,6]=>1101000 [7,8,2,3,1,5,6,4]=>1101000 [6,2,8,3,1,5,7,4]=>1111000 [5,2,3,8,1,6,7,4]=>1101000 [6,3,8,2,1,7,5,4]=>1111100 [7,8,3,2,1,6,5,4]=>1111100 [7,8,4,2,6,1,5,3]=>1111000 [5,4,2,8,7,1,6,3]=>1111001 [4,5,2,7,8,1,6,3]=>1110000 [3,5,2,7,1,8,6,4]=>1101010 [2,5,3,7,1,6,8,4]=>1011000 [1,5,3,7,2,6,4,8]=>0111000 [1,6,7,3,2,5,4,8]=>0111000 [2,6,7,3,1,5,8,4]=>1011000 [3,6,7,2,1,8,5,4]=>1101100 [4,6,7,2,8,1,5,3]=>1110000 [5,6,7,8,2,1,4,3]=>1110000 [7,8,5,6,2,1,4,3]=>1110100 [6,5,8,7,1,2,3,4]=>1000101 [5,4,1,8,7,2,3,6]=>1101001 [6,4,8,1,7,2,3,5]=>1101000 [7,8,3,1,2,6,4,5]=>1011000 [5,3,1,8,2,7,4,6]=>1111000 [4,3,1,2,8,7,5,6]=>1010101 [4,2,1,3,8,5,7,6]=>1100110 [5,2,1,8,3,4,7,6]=>1110010 [6,2,8,1,3,4,7,5]=>1100100 [7,8,2,1,3,4,6,5]=>1100100
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Description
The descent bottoms of a permutation as a binary word.
Properties
surjective, graded
Sage code
def mapping(pi):
    """
    Return the elements which are descent bottoms as a binary word.
    Since n is never a descent bottom, it is omitted.

    sage: mapping(Permutation([3,1,2]))
    word: 10
    """
    D = [pi[i+1] for i in pi.descents(from_zero=True)]
    return Words([0,1])([1 if i in D else 0 for i in range(1,len(pi))])
Weight
26
Created
Jan 29, 2020 at 13:27 by FindStatCrew
Updated
Jan 29, 2020 at 13:27 by Martin Rubey