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Identifier
Mp00130: Permutations descent topsBinary 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]=>01 [3,1,2]=>01 [3,2,1]=>11 [1,2,3,4]=>000 [1,2,4,3]=>001 [1,3,2,4]=>010 [1,3,4,2]=>001 [1,4,2,3]=>001 [1,4,3,2]=>011 [2,1,3,4]=>100 [2,1,4,3]=>101 [2,3,1,4]=>010 [2,3,4,1]=>001 [2,4,1,3]=>001 [2,4,3,1]=>011 [3,1,2,4]=>010 [3,1,4,2]=>011 [3,2,1,4]=>110 [3,2,4,1]=>011 [3,4,1,2]=>001 [3,4,2,1]=>101 [4,1,2,3]=>001 [4,1,3,2]=>011 [4,2,1,3]=>101 [4,2,3,1]=>011 [4,3,1,2]=>011 [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]=>0001 [1,2,5,3,4]=>0001 [1,2,5,4,3]=>0011 [1,3,2,4,5]=>0100 [1,3,2,5,4]=>0101 [1,3,4,2,5]=>0010 [1,3,4,5,2]=>0001 [1,3,5,2,4]=>0001 [1,3,5,4,2]=>0011 [1,4,2,3,5]=>0010 [1,4,2,5,3]=>0011 [1,4,3,2,5]=>0110 [1,4,3,5,2]=>0011 [1,4,5,2,3]=>0001 [1,4,5,3,2]=>0101 [1,5,2,3,4]=>0001 [1,5,2,4,3]=>0011 [1,5,3,2,4]=>0101 [1,5,3,4,2]=>0011 [1,5,4,2,3]=>0011 [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]=>1001 [2,1,5,3,4]=>1001 [2,1,5,4,3]=>1011 [2,3,1,4,5]=>0100 [2,3,1,5,4]=>0101 [2,3,4,1,5]=>0010 [2,3,4,5,1]=>0001 [2,3,5,1,4]=>0001 [2,3,5,4,1]=>0011 [2,4,1,3,5]=>0010 [2,4,1,5,3]=>0011 [2,4,3,1,5]=>0110 [2,4,3,5,1]=>0011 [2,4,5,1,3]=>0001 [2,4,5,3,1]=>0101 [2,5,1,3,4]=>0001 [2,5,1,4,3]=>0011 [2,5,3,1,4]=>0101 [2,5,3,4,1]=>0011 [2,5,4,1,3]=>0011 [2,5,4,3,1]=>0111 [3,1,2,4,5]=>0100 [3,1,2,5,4]=>0101 [3,1,4,2,5]=>0110 [3,1,4,5,2]=>0101 [3,1,5,2,4]=>0101 [3,1,5,4,2]=>0111 [3,2,1,4,5]=>1100 [3,2,1,5,4]=>1101 [3,2,4,1,5]=>0110 [3,2,4,5,1]=>0101 [3,2,5,1,4]=>0101 [3,2,5,4,1]=>0111 [3,4,1,2,5]=>0010 [3,4,1,5,2]=>0011 [3,4,2,1,5]=>1010 [3,4,2,5,1]=>0011 [3,4,5,1,2]=>0001 [3,4,5,2,1]=>1001 [3,5,1,2,4]=>0001 [3,5,1,4,2]=>0011 [3,5,2,1,4]=>1001 [3,5,2,4,1]=>0011 [3,5,4,1,2]=>0011 [3,5,4,2,1]=>1011 [4,1,2,3,5]=>0010 [4,1,2,5,3]=>0011 [4,1,3,2,5]=>0110 [4,1,3,5,2]=>0011 [4,1,5,2,3]=>0011 [4,1,5,3,2]=>0111 [4,2,1,3,5]=>1010 [4,2,1,5,3]=>1011 [4,2,3,1,5]=>0110 [4,2,3,5,1]=>0011 [4,2,5,1,3]=>0011 [4,2,5,3,1]=>0111 [4,3,1,2,5]=>0110 [4,3,1,5,2]=>0111 [4,3,2,1,5]=>1110 [4,3,2,5,1]=>0111 [4,3,5,1,2]=>0011 [4,3,5,2,1]=>1011 [4,5,1,2,3]=>0001 [4,5,1,3,2]=>0101 [4,5,2,1,3]=>1001 [4,5,2,3,1]=>0101 [4,5,3,1,2]=>0101 [4,5,3,2,1]=>1101 [5,1,2,3,4]=>0001 [5,1,2,4,3]=>0011 [5,1,3,2,4]=>0101 [5,1,3,4,2]=>0011 [5,1,4,2,3]=>0011 [5,1,4,3,2]=>0111 [5,2,1,3,4]=>1001 [5,2,1,4,3]=>1011 [5,2,3,1,4]=>0101 [5,2,3,4,1]=>0011 [5,2,4,1,3]=>0011 [5,2,4,3,1]=>0111 [5,3,1,2,4]=>0101 [5,3,1,4,2]=>0111 [5,3,2,1,4]=>1101 [5,3,2,4,1]=>0111 [5,3,4,1,2]=>0011 [5,3,4,2,1]=>1011 [5,4,1,2,3]=>0011 [5,4,1,3,2]=>0111 [5,4,2,1,3]=>1011 [5,4,2,3,1]=>0111 [5,4,3,1,2]=>0111 [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]=>00001 [1,2,3,6,4,5]=>00001 [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]=>00010 [1,2,4,5,6,3]=>00001 [1,2,4,6,3,5]=>00001 [1,2,4,6,5,3]=>00011 [1,2,5,3,4,6]=>00010 [1,2,5,3,6,4]=>00011 [1,2,5,4,3,6]=>00110 [1,2,5,4,6,3]=>00011 [1,2,5,6,3,4]=>00001 [1,2,5,6,4,3]=>00101 [1,2,6,3,4,5]=>00001 [1,2,6,3,5,4]=>00011 [1,2,6,4,3,5]=>00101 [1,2,6,4,5,3]=>00011 [1,2,6,5,3,4]=>00011 [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]=>01001 [1,3,2,6,4,5]=>01001 [1,3,2,6,5,4]=>01011 [1,3,4,2,5,6]=>00100 [1,3,4,2,6,5]=>00101 [1,3,4,5,2,6]=>00010 [1,3,4,5,6,2]=>00001 [1,3,4,6,2,5]=>00001 [1,3,4,6,5,2]=>00011 [1,3,5,2,4,6]=>00010 [1,3,5,2,6,4]=>00011 [1,3,5,4,2,6]=>00110 [1,3,5,4,6,2]=>00011 [1,3,5,6,2,4]=>00001 [1,3,5,6,4,2]=>00101 [1,3,6,2,4,5]=>00001 [1,3,6,2,5,4]=>00011 [1,3,6,4,2,5]=>00101 [1,3,6,4,5,2]=>00011 [1,3,6,5,2,4]=>00011 [1,3,6,5,4,2]=>00111 [1,4,2,3,5,6]=>00100 [1,4,2,3,6,5]=>00101 [1,4,2,5,3,6]=>00110 [1,4,2,5,6,3]=>00101 [1,4,2,6,3,5]=>00101 [1,4,2,6,5,3]=>00111 [1,4,3,2,5,6]=>01100 [1,4,3,2,6,5]=>01101 [1,4,3,5,2,6]=>00110 [1,4,3,5,6,2]=>00101 [1,4,3,6,2,5]=>00101 [1,4,3,6,5,2]=>00111 [1,4,5,2,3,6]=>00010 [1,4,5,2,6,3]=>00011 [1,4,5,3,2,6]=>01010 [1,4,5,3,6,2]=>00011 [1,4,5,6,2,3]=>00001 [1,4,5,6,3,2]=>01001 [1,4,6,2,3,5]=>00001 [1,4,6,2,5,3]=>00011 [1,4,6,3,2,5]=>01001 [1,4,6,3,5,2]=>00011 [1,4,6,5,2,3]=>00011 [1,4,6,5,3,2]=>01011 [1,5,2,3,4,6]=>00010 [1,5,2,3,6,4]=>00011 [1,5,2,4,3,6]=>00110 [1,5,2,4,6,3]=>00011 [1,5,2,6,3,4]=>00011 [1,5,2,6,4,3]=>00111 [1,5,3,2,4,6]=>01010 [1,5,3,2,6,4]=>01011 [1,5,3,4,2,6]=>00110 [1,5,3,4,6,2]=>00011 [1,5,3,6,2,4]=>00011 [1,5,3,6,4,2]=>00111 [1,5,4,2,3,6]=>00110 [1,5,4,2,6,3]=>00111 [1,5,4,3,2,6]=>01110 [1,5,4,3,6,2]=>00111 [1,5,4,6,2,3]=>00011 [1,5,4,6,3,2]=>01011 [1,5,6,2,3,4]=>00001 [1,5,6,2,4,3]=>00101 [1,5,6,3,2,4]=>01001 [1,5,6,3,4,2]=>00101 [1,5,6,4,2,3]=>00101 [1,5,6,4,3,2]=>01101 [1,6,2,3,4,5]=>00001 [1,6,2,3,5,4]=>00011 [1,6,2,4,3,5]=>00101 [1,6,2,4,5,3]=>00011 [1,6,2,5,3,4]=>00011 [1,6,2,5,4,3]=>00111 [1,6,3,2,4,5]=>01001 [1,6,3,2,5,4]=>01011 [1,6,3,4,2,5]=>00101 [1,6,3,4,5,2]=>00011 [1,6,3,5,2,4]=>00011 [1,6,3,5,4,2]=>00111 [1,6,4,2,3,5]=>00101 [1,6,4,2,5,3]=>00111 [1,6,4,3,2,5]=>01101 [1,6,4,3,5,2]=>00111 [1,6,4,5,2,3]=>00011 [1,6,4,5,3,2]=>01011 [1,6,5,2,3,4]=>00011 [1,6,5,2,4,3]=>00111 [1,6,5,3,2,4]=>01011 [1,6,5,3,4,2]=>00111 [1,6,5,4,2,3]=>00111 [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]=>10001 [2,1,3,6,4,5]=>10001 [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]=>10010 [2,1,4,5,6,3]=>10001 [2,1,4,6,3,5]=>10001 [2,1,4,6,5,3]=>10011 [2,1,5,3,4,6]=>10010 [2,1,5,3,6,4]=>10011 [2,1,5,4,3,6]=>10110 [2,1,5,4,6,3]=>10011 [2,1,5,6,3,4]=>10001 [2,1,5,6,4,3]=>10101 [2,1,6,3,4,5]=>10001 [2,1,6,3,5,4]=>10011 [2,1,6,4,3,5]=>10101 [2,1,6,4,5,3]=>10011 [2,1,6,5,3,4]=>10011 [2,1,6,5,4,3]=>10111 [2,3,1,4,5,6]=>01000 [2,3,1,4,6,5]=>01001 [2,3,1,5,4,6]=>01010 [2,3,1,5,6,4]=>01001 [2,3,1,6,4,5]=>01001 [2,3,1,6,5,4]=>01011 [2,3,4,1,5,6]=>00100 [2,3,4,1,6,5]=>00101 [2,3,4,5,1,6]=>00010 [2,3,4,5,6,1]=>00001 [2,3,4,6,1,5]=>00001 [2,3,4,6,5,1]=>00011 [2,3,5,1,4,6]=>00010 [2,3,5,1,6,4]=>00011 [2,3,5,4,1,6]=>00110 [2,3,5,4,6,1]=>00011 [2,3,5,6,1,4]=>00001 [2,3,5,6,4,1]=>00101 [2,3,6,1,4,5]=>00001 [2,3,6,1,5,4]=>00011 [2,3,6,4,1,5]=>00101 [2,3,6,4,5,1]=>00011 [2,3,6,5,1,4]=>00011 [2,3,6,5,4,1]=>00111 [2,4,1,3,5,6]=>00100 [2,4,1,3,6,5]=>00101 [2,4,1,5,3,6]=>00110 [2,4,1,5,6,3]=>00101 [2,4,1,6,3,5]=>00101 [2,4,1,6,5,3]=>00111 [2,4,3,1,5,6]=>01100 [2,4,3,1,6,5]=>01101 [2,4,3,5,1,6]=>00110 [2,4,3,5,6,1]=>00101 [2,4,3,6,1,5]=>00101 [2,4,3,6,5,1]=>00111 [2,4,5,1,3,6]=>00010 [2,4,5,1,6,3]=>00011 [2,4,5,3,1,6]=>01010 [2,4,5,3,6,1]=>00011 [2,4,5,6,1,3]=>00001 [2,4,5,6,3,1]=>01001 [2,4,6,1,3,5]=>00001 [2,4,6,1,5,3]=>00011 [2,4,6,3,1,5]=>01001 [2,4,6,3,5,1]=>00011 [2,4,6,5,1,3]=>00011 [2,4,6,5,3,1]=>01011 [2,5,1,3,4,6]=>00010 [2,5,1,3,6,4]=>00011 [2,5,1,4,3,6]=>00110 [2,5,1,4,6,3]=>00011 [2,5,1,6,3,4]=>00011 [2,5,1,6,4,3]=>00111 [2,5,3,1,4,6]=>01010 [2,5,3,1,6,4]=>01011 [2,5,3,4,1,6]=>00110 [2,5,3,4,6,1]=>00011 [2,5,3,6,1,4]=>00011 [2,5,3,6,4,1]=>00111 [2,5,4,1,3,6]=>00110 [2,5,4,1,6,3]=>00111 [2,5,4,3,1,6]=>01110 [2,5,4,3,6,1]=>00111 [2,5,4,6,1,3]=>00011 [2,5,4,6,3,1]=>01011 [2,5,6,1,3,4]=>00001 [2,5,6,1,4,3]=>00101 [2,5,6,3,1,4]=>01001 [2,5,6,3,4,1]=>00101 [2,5,6,4,1,3]=>00101 [2,5,6,4,3,1]=>01101 [2,6,1,3,4,5]=>00001 [2,6,1,3,5,4]=>00011 [2,6,1,4,3,5]=>00101 [2,6,1,4,5,3]=>00011 [2,6,1,5,3,4]=>00011 [2,6,1,5,4,3]=>00111 [2,6,3,1,4,5]=>01001 [2,6,3,1,5,4]=>01011 [2,6,3,4,1,5]=>00101 [2,6,3,4,5,1]=>00011 [2,6,3,5,1,4]=>00011 [2,6,3,5,4,1]=>00111 [2,6,4,1,3,5]=>00101 [2,6,4,1,5,3]=>00111 [2,6,4,3,1,5]=>01101 [2,6,4,3,5,1]=>00111 [2,6,4,5,1,3]=>00011 [2,6,4,5,3,1]=>01011 [2,6,5,1,3,4]=>00011 [2,6,5,1,4,3]=>00111 [2,6,5,3,1,4]=>01011 [2,6,5,3,4,1]=>00111 [2,6,5,4,1,3]=>00111 [2,6,5,4,3,1]=>01111 [3,1,2,4,5,6]=>01000 [3,1,2,4,6,5]=>01001 [3,1,2,5,4,6]=>01010 [3,1,2,5,6,4]=>01001 [3,1,2,6,4,5]=>01001 [3,1,2,6,5,4]=>01011 [3,1,4,2,5,6]=>01100 [3,1,4,2,6,5]=>01101 [3,1,4,5,2,6]=>01010 [3,1,4,5,6,2]=>01001 [3,1,4,6,2,5]=>01001 [3,1,4,6,5,2]=>01011 [3,1,5,2,4,6]=>01010 [3,1,5,2,6,4]=>01011 [3,1,5,4,2,6]=>01110 [3,1,5,4,6,2]=>01011 [3,1,5,6,2,4]=>01001 [3,1,5,6,4,2]=>01101 [3,1,6,2,4,5]=>01001 [3,1,6,2,5,4]=>01011 [3,1,6,4,2,5]=>01101 [3,1,6,4,5,2]=>01011 [3,1,6,5,2,4]=>01011 [3,1,6,5,4,2]=>01111 [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]=>11001 [3,2,1,6,4,5]=>11001 [3,2,1,6,5,4]=>11011 [3,2,4,1,5,6]=>01100 [3,2,4,1,6,5]=>01101 [3,2,4,5,1,6]=>01010 [3,2,4,5,6,1]=>01001 [3,2,4,6,1,5]=>01001 [3,2,4,6,5,1]=>01011 [3,2,5,1,4,6]=>01010 [3,2,5,1,6,4]=>01011 [3,2,5,4,1,6]=>01110 [3,2,5,4,6,1]=>01011 [3,2,5,6,1,4]=>01001 [3,2,5,6,4,1]=>01101 [3,2,6,1,4,5]=>01001 [3,2,6,1,5,4]=>01011 [3,2,6,4,1,5]=>01101 [3,2,6,4,5,1]=>01011 [3,2,6,5,1,4]=>01011 [3,2,6,5,4,1]=>01111 [3,4,1,2,5,6]=>00100 [3,4,1,2,6,5]=>00101 [3,4,1,5,2,6]=>00110 [3,4,1,5,6,2]=>00101 [3,4,1,6,2,5]=>00101 [3,4,1,6,5,2]=>00111 [3,4,2,1,5,6]=>10100 [3,4,2,1,6,5]=>10101 [3,4,2,5,1,6]=>00110 [3,4,2,5,6,1]=>00101 [3,4,2,6,1,5]=>00101 [3,4,2,6,5,1]=>00111 [3,4,5,1,2,6]=>00010 [3,4,5,1,6,2]=>00011 [3,4,5,2,1,6]=>10010 [3,4,5,2,6,1]=>00011 [3,4,5,6,1,2]=>00001 [3,4,5,6,2,1]=>10001 [3,4,6,1,2,5]=>00001 [3,4,6,1,5,2]=>00011 [3,4,6,2,1,5]=>10001 [3,4,6,2,5,1]=>00011 [3,4,6,5,1,2]=>00011 [3,4,6,5,2,1]=>10011 [3,5,1,2,4,6]=>00010 [3,5,1,2,6,4]=>00011 [3,5,1,4,2,6]=>00110 [3,5,1,4,6,2]=>00011 [3,5,1,6,2,4]=>00011 [3,5,1,6,4,2]=>00111 [3,5,2,1,4,6]=>10010 [3,5,2,1,6,4]=>10011 [3,5,2,4,1,6]=>00110 [3,5,2,4,6,1]=>00011 [3,5,2,6,1,4]=>00011 [3,5,2,6,4,1]=>00111 [3,5,4,1,2,6]=>00110 [3,5,4,1,6,2]=>00111 [3,5,4,2,1,6]=>10110 [3,5,4,2,6,1]=>00111 [3,5,4,6,1,2]=>00011 [3,5,4,6,2,1]=>10011 [3,5,6,1,2,4]=>00001 [3,5,6,1,4,2]=>00101 [3,5,6,2,1,4]=>10001 [3,5,6,2,4,1]=>00101 [3,5,6,4,1,2]=>00101 [3,5,6,4,2,1]=>10101 [3,6,1,2,4,5]=>00001 [3,6,1,2,5,4]=>00011 [3,6,1,4,2,5]=>00101 [3,6,1,4,5,2]=>00011 [3,6,1,5,2,4]=>00011 [3,6,1,5,4,2]=>00111 [3,6,2,1,4,5]=>10001 [3,6,2,1,5,4]=>10011 [3,6,2,4,1,5]=>00101 [3,6,2,4,5,1]=>00011 [3,6,2,5,1,4]=>00011 [3,6,2,5,4,1]=>00111 [3,6,4,1,2,5]=>00101 [3,6,4,1,5,2]=>00111 [3,6,4,2,1,5]=>10101 [3,6,4,2,5,1]=>00111 [3,6,4,5,1,2]=>00011 [3,6,4,5,2,1]=>10011 [3,6,5,1,2,4]=>00011 [3,6,5,1,4,2]=>00111 [3,6,5,2,1,4]=>10011 [3,6,5,2,4,1]=>00111 [3,6,5,4,1,2]=>00111 [3,6,5,4,2,1]=>10111 [4,1,2,3,5,6]=>00100 [4,1,2,3,6,5]=>00101 [4,1,2,5,3,6]=>00110 [4,1,2,5,6,3]=>00101 [4,1,2,6,3,5]=>00101 [4,1,2,6,5,3]=>00111 [4,1,3,2,5,6]=>01100 [4,1,3,2,6,5]=>01101 [4,1,3,5,2,6]=>00110 [4,1,3,5,6,2]=>00101 [4,1,3,6,2,5]=>00101 [4,1,3,6,5,2]=>00111 [4,1,5,2,3,6]=>00110 [4,1,5,2,6,3]=>00111 [4,1,5,3,2,6]=>01110 [4,1,5,3,6,2]=>00111 [4,1,5,6,2,3]=>00101 [4,1,5,6,3,2]=>01101 [4,1,6,2,3,5]=>00101 [4,1,6,2,5,3]=>00111 [4,1,6,3,2,5]=>01101 [4,1,6,3,5,2]=>00111 [4,1,6,5,2,3]=>00111 [4,1,6,5,3,2]=>01111 [4,2,1,3,5,6]=>10100 [4,2,1,3,6,5]=>10101 [4,2,1,5,3,6]=>10110 [4,2,1,5,6,3]=>10101 [4,2,1,6,3,5]=>10101 [4,2,1,6,5,3]=>10111 [4,2,3,1,5,6]=>01100 [4,2,3,1,6,5]=>01101 [4,2,3,5,1,6]=>00110 [4,2,3,5,6,1]=>00101 [4,2,3,6,1,5]=>00101 [4,2,3,6,5,1]=>00111 [4,2,5,1,3,6]=>00110 [4,2,5,1,6,3]=>00111 [4,2,5,3,1,6]=>01110 [4,2,5,3,6,1]=>00111 [4,2,5,6,1,3]=>00101 [4,2,5,6,3,1]=>01101 [4,2,6,1,3,5]=>00101 [4,2,6,1,5,3]=>00111 [4,2,6,3,1,5]=>01101 [4,2,6,3,5,1]=>00111 [4,2,6,5,1,3]=>00111 [4,2,6,5,3,1]=>01111 [4,3,1,2,5,6]=>01100 [4,3,1,2,6,5]=>01101 [4,3,1,5,2,6]=>01110 [4,3,1,5,6,2]=>01101 [4,3,1,6,2,5]=>01101 [4,3,1,6,5,2]=>01111 [4,3,2,1,5,6]=>11100 [4,3,2,1,6,5]=>11101 [4,3,2,5,1,6]=>01110 [4,3,2,5,6,1]=>01101 [4,3,2,6,1,5]=>01101 [4,3,2,6,5,1]=>01111 [4,3,5,1,2,6]=>00110 [4,3,5,1,6,2]=>00111 [4,3,5,2,1,6]=>10110 [4,3,5,2,6,1]=>00111 [4,3,5,6,1,2]=>00101 [4,3,5,6,2,1]=>10101 [4,3,6,1,2,5]=>00101 [4,3,6,1,5,2]=>00111 [4,3,6,2,1,5]=>10101 [4,3,6,2,5,1]=>00111 [4,3,6,5,1,2]=>00111 [4,3,6,5,2,1]=>10111 [4,5,1,2,3,6]=>00010 [4,5,1,2,6,3]=>00011 [4,5,1,3,2,6]=>01010 [4,5,1,3,6,2]=>00011 [4,5,1,6,2,3]=>00011 [4,5,1,6,3,2]=>01011 [4,5,2,1,3,6]=>10010 [4,5,2,1,6,3]=>10011 [4,5,2,3,1,6]=>01010 [4,5,2,3,6,1]=>00011 [4,5,2,6,1,3]=>00011 [4,5,2,6,3,1]=>01011 [4,5,3,1,2,6]=>01010 [4,5,3,1,6,2]=>01011 [4,5,3,2,1,6]=>11010 [4,5,3,2,6,1]=>01011 [4,5,3,6,1,2]=>00011 [4,5,3,6,2,1]=>10011 [4,5,6,1,2,3]=>00001 [4,5,6,1,3,2]=>01001 [4,5,6,2,1,3]=>10001 [4,5,6,2,3,1]=>01001 [4,5,6,3,1,2]=>01001 [4,5,6,3,2,1]=>11001 [4,6,1,2,3,5]=>00001 [4,6,1,2,5,3]=>00011 [4,6,1,3,2,5]=>01001 [4,6,1,3,5,2]=>00011 [4,6,1,5,2,3]=>00011 [4,6,1,5,3,2]=>01011 [4,6,2,1,3,5]=>10001 [4,6,2,1,5,3]=>10011 [4,6,2,3,1,5]=>01001 [4,6,2,3,5,1]=>00011 [4,6,2,5,1,3]=>00011 [4,6,2,5,3,1]=>01011 [4,6,3,1,2,5]=>01001 [4,6,3,1,5,2]=>01011 [4,6,3,2,1,5]=>11001 [4,6,3,2,5,1]=>01011 [4,6,3,5,1,2]=>00011 [4,6,3,5,2,1]=>10011 [4,6,5,1,2,3]=>00011 [4,6,5,1,3,2]=>01011 [4,6,5,2,1,3]=>10011 [4,6,5,2,3,1]=>01011 [4,6,5,3,1,2]=>01011 [4,6,5,3,2,1]=>11011 [5,1,2,3,4,6]=>00010 [5,1,2,3,6,4]=>00011 [5,1,2,4,3,6]=>00110 [5,1,2,4,6,3]=>00011 [5,1,2,6,3,4]=>00011 [5,1,2,6,4,3]=>00111 [5,1,3,2,4,6]=>01010 [5,1,3,2,6,4]=>01011 [5,1,3,4,2,6]=>00110 [5,1,3,4,6,2]=>00011 [5,1,3,6,2,4]=>00011 [5,1,3,6,4,2]=>00111 [5,1,4,2,3,6]=>00110 [5,1,4,2,6,3]=>00111 [5,1,4,3,2,6]=>01110 [5,1,4,3,6,2]=>00111 [5,1,4,6,2,3]=>00011 [5,1,4,6,3,2]=>01011 [5,1,6,2,3,4]=>00011 [5,1,6,2,4,3]=>00111 [5,1,6,3,2,4]=>01011 [5,1,6,3,4,2]=>00111 [5,1,6,4,2,3]=>00111 [5,1,6,4,3,2]=>01111 [5,2,1,3,4,6]=>10010 [5,2,1,3,6,4]=>10011 [5,2,1,4,3,6]=>10110 [5,2,1,4,6,3]=>10011 [5,2,1,6,3,4]=>10011 [5,2,1,6,4,3]=>10111 [5,2,3,1,4,6]=>01010 [5,2,3,1,6,4]=>01011 [5,2,3,4,1,6]=>00110 [5,2,3,4,6,1]=>00011 [5,2,3,6,1,4]=>00011 [5,2,3,6,4,1]=>00111 [5,2,4,1,3,6]=>00110 [5,2,4,1,6,3]=>00111 [5,2,4,3,1,6]=>01110 [5,2,4,3,6,1]=>00111 [5,2,4,6,1,3]=>00011 [5,2,4,6,3,1]=>01011 [5,2,6,1,3,4]=>00011 [5,2,6,1,4,3]=>00111 [5,2,6,3,1,4]=>01011 [5,2,6,3,4,1]=>00111 [5,2,6,4,1,3]=>00111 [5,2,6,4,3,1]=>01111 [5,3,1,2,4,6]=>01010 [5,3,1,2,6,4]=>01011 [5,3,1,4,2,6]=>01110 [5,3,1,4,6,2]=>01011 [5,3,1,6,2,4]=>01011 [5,3,1,6,4,2]=>01111 [5,3,2,1,4,6]=>11010 [5,3,2,1,6,4]=>11011 [5,3,2,4,1,6]=>01110 [5,3,2,4,6,1]=>01011 [5,3,2,6,1,4]=>01011 [5,3,2,6,4,1]=>01111 [5,3,4,1,2,6]=>00110 [5,3,4,1,6,2]=>00111 [5,3,4,2,1,6]=>10110 [5,3,4,2,6,1]=>00111 [5,3,4,6,1,2]=>00011 [5,3,4,6,2,1]=>10011 [5,3,6,1,2,4]=>00011 [5,3,6,1,4,2]=>00111 [5,3,6,2,1,4]=>10011 [5,3,6,2,4,1]=>00111 [5,3,6,4,1,2]=>00111 [5,3,6,4,2,1]=>10111 [5,4,1,2,3,6]=>00110 [5,4,1,2,6,3]=>00111 [5,4,1,3,2,6]=>01110 [5,4,1,3,6,2]=>00111 [5,4,1,6,2,3]=>00111 [5,4,1,6,3,2]=>01111 [5,4,2,1,3,6]=>10110 [5,4,2,1,6,3]=>10111 [5,4,2,3,1,6]=>01110 [5,4,2,3,6,1]=>00111 [5,4,2,6,1,3]=>00111 [5,4,2,6,3,1]=>01111 [5,4,3,1,2,6]=>01110 [5,4,3,1,6,2]=>01111 [5,4,3,2,1,6]=>11110 [5,4,3,2,6,1]=>01111 [5,4,3,6,1,2]=>00111 [5,4,3,6,2,1]=>10111 [5,4,6,1,2,3]=>00011 [5,4,6,1,3,2]=>01011 [5,4,6,2,1,3]=>10011 [5,4,6,2,3,1]=>01011 [5,4,6,3,1,2]=>01011 [5,4,6,3,2,1]=>11011 [5,6,1,2,3,4]=>00001 [5,6,1,2,4,3]=>00101 [5,6,1,3,2,4]=>01001 [5,6,1,3,4,2]=>00101 [5,6,1,4,2,3]=>00101 [5,6,1,4,3,2]=>01101 [5,6,2,1,3,4]=>10001 [5,6,2,1,4,3]=>10101 [5,6,2,3,1,4]=>01001 [5,6,2,3,4,1]=>00101 [5,6,2,4,1,3]=>00101 [5,6,2,4,3,1]=>01101 [5,6,3,1,2,4]=>01001 [5,6,3,1,4,2]=>01101 [5,6,3,2,1,4]=>11001 [5,6,3,2,4,1]=>01101 [5,6,3,4,1,2]=>00101 [5,6,3,4,2,1]=>10101 [5,6,4,1,2,3]=>00101 [5,6,4,1,3,2]=>01101 [5,6,4,2,1,3]=>10101 [5,6,4,2,3,1]=>01101 [5,6,4,3,1,2]=>01101 [5,6,4,3,2,1]=>11101 [6,1,2,3,4,5]=>00001 [6,1,2,3,5,4]=>00011 [6,1,2,4,3,5]=>00101 [6,1,2,4,5,3]=>00011 [6,1,2,5,3,4]=>00011 [6,1,2,5,4,3]=>00111 [6,1,3,2,4,5]=>01001 [6,1,3,2,5,4]=>01011 [6,1,3,4,2,5]=>00101 [6,1,3,4,5,2]=>00011 [6,1,3,5,2,4]=>00011 [6,1,3,5,4,2]=>00111 [6,1,4,2,3,5]=>00101 [6,1,4,2,5,3]=>00111 [6,1,4,3,2,5]=>01101 [6,1,4,3,5,2]=>00111 [6,1,4,5,2,3]=>00011 [6,1,4,5,3,2]=>01011 [6,1,5,2,3,4]=>00011 [6,1,5,2,4,3]=>00111 [6,1,5,3,2,4]=>01011 [6,1,5,3,4,2]=>00111 [6,1,5,4,2,3]=>00111 [6,1,5,4,3,2]=>01111 [6,2,1,3,4,5]=>10001 [6,2,1,3,5,4]=>10011 [6,2,1,4,3,5]=>10101 [6,2,1,4,5,3]=>10011 [6,2,1,5,3,4]=>10011 [6,2,1,5,4,3]=>10111 [6,2,3,1,4,5]=>01001 [6,2,3,1,5,4]=>01011 [6,2,3,4,1,5]=>00101 [6,2,3,4,5,1]=>00011 [6,2,3,5,1,4]=>00011 [6,2,3,5,4,1]=>00111 [6,2,4,1,3,5]=>00101 [6,2,4,1,5,3]=>00111 [6,2,4,3,1,5]=>01101 [6,2,4,3,5,1]=>00111 [6,2,4,5,1,3]=>00011 [6,2,4,5,3,1]=>01011 [6,2,5,1,3,4]=>00011 [6,2,5,1,4,3]=>00111 [6,2,5,3,1,4]=>01011 [6,2,5,3,4,1]=>00111 [6,2,5,4,1,3]=>00111 [6,2,5,4,3,1]=>01111 [6,3,1,2,4,5]=>01001 [6,3,1,2,5,4]=>01011 [6,3,1,4,2,5]=>01101 [6,3,1,4,5,2]=>01011 [6,3,1,5,2,4]=>01011 [6,3,1,5,4,2]=>01111 [6,3,2,1,4,5]=>11001 [6,3,2,1,5,4]=>11011 [6,3,2,4,1,5]=>01101 [6,3,2,4,5,1]=>01011 [6,3,2,5,1,4]=>01011 [6,3,2,5,4,1]=>01111 [6,3,4,1,2,5]=>00101 [6,3,4,1,5,2]=>00111 [6,3,4,2,1,5]=>10101 [6,3,4,2,5,1]=>00111 [6,3,4,5,1,2]=>00011 [6,3,4,5,2,1]=>10011 [6,3,5,1,2,4]=>00011 [6,3,5,1,4,2]=>00111 [6,3,5,2,1,4]=>10011 [6,3,5,2,4,1]=>00111 [6,3,5,4,1,2]=>00111 [6,3,5,4,2,1]=>10111 [6,4,1,2,3,5]=>00101 [6,4,1,2,5,3]=>00111 [6,4,1,3,2,5]=>01101 [6,4,1,3,5,2]=>00111 [6,4,1,5,2,3]=>00111 [6,4,1,5,3,2]=>01111 [6,4,2,1,3,5]=>10101 [6,4,2,1,5,3]=>10111 [6,4,2,3,1,5]=>01101 [6,4,2,3,5,1]=>00111 [6,4,2,5,1,3]=>00111 [6,4,2,5,3,1]=>01111 [6,4,3,1,2,5]=>01101 [6,4,3,1,5,2]=>01111 [6,4,3,2,1,5]=>11101 [6,4,3,2,5,1]=>01111 [6,4,3,5,1,2]=>00111 [6,4,3,5,2,1]=>10111 [6,4,5,1,2,3]=>00011 [6,4,5,1,3,2]=>01011 [6,4,5,2,1,3]=>10011 [6,4,5,2,3,1]=>01011 [6,4,5,3,1,2]=>01011 [6,4,5,3,2,1]=>11011 [6,5,1,2,3,4]=>00011 [6,5,1,2,4,3]=>00111 [6,5,1,3,2,4]=>01011 [6,5,1,3,4,2]=>00111 [6,5,1,4,2,3]=>00111 [6,5,1,4,3,2]=>01111 [6,5,2,1,3,4]=>10011 [6,5,2,1,4,3]=>10111 [6,5,2,3,1,4]=>01011 [6,5,2,3,4,1]=>00111 [6,5,2,4,1,3]=>00111 [6,5,2,4,3,1]=>01111 [6,5,3,1,2,4]=>01011 [6,5,3,1,4,2]=>01111 [6,5,3,2,1,4]=>11011 [6,5,3,2,4,1]=>01111 [6,5,3,4,1,2]=>00111 [6,5,3,4,2,1]=>10111 [6,5,4,1,2,3]=>00111 [6,5,4,1,3,2]=>01111 [6,5,4,2,1,3]=>10111 [6,5,4,2,3,1]=>01111 [6,5,4,3,1,2]=>01111 [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]=>000001 [1,2,3,4,7,5,6]=>000001 [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]=>000010 [1,2,3,5,6,7,4]=>000001 [1,2,3,5,7,4,6]=>000001 [1,2,3,5,7,6,4]=>000011 [1,2,3,6,4,5,7]=>000010 [1,2,3,6,4,7,5]=>000011 [1,2,3,6,5,4,7]=>000110 [1,2,3,6,5,7,4]=>000011 [1,2,3,6,7,4,5]=>000001 [1,2,3,6,7,5,4]=>000101 [1,2,3,7,4,5,6]=>000001 [1,2,3,7,4,6,5]=>000011 [1,2,3,7,5,4,6]=>000101 [1,2,3,7,5,6,4]=>000011 [1,2,3,7,6,4,5]=>000011 [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]=>001001 [1,2,4,3,7,5,6]=>001001 [1,2,4,3,7,6,5]=>001011 [1,2,4,5,3,6,7]=>000100 [1,2,4,5,3,7,6]=>000101 [1,2,4,5,6,3,7]=>000010 [1,2,4,5,6,7,3]=>000001 [1,2,4,5,7,3,6]=>000001 [1,2,4,5,7,6,3]=>000011 [1,2,4,6,3,5,7]=>000010 [1,2,4,6,3,7,5]=>000011 [1,2,4,6,5,3,7]=>000110 [1,2,4,6,5,7,3]=>000011 [1,2,4,6,7,3,5]=>000001 [1,2,4,6,7,5,3]=>000101 [1,2,4,7,3,5,6]=>000001 [1,2,4,7,3,6,5]=>000011 [1,2,4,7,5,3,6]=>000101 [1,2,4,7,5,6,3]=>000011 [1,2,4,7,6,3,5]=>000011 [1,2,4,7,6,5,3]=>000111 [1,2,5,3,4,6,7]=>000100 [1,2,5,3,4,7,6]=>000101 [1,2,5,3,6,4,7]=>000110 [1,2,5,3,6,7,4]=>000101 [1,2,5,3,7,4,6]=>000101 [1,2,5,3,7,6,4]=>000111 [1,2,5,4,3,6,7]=>001100 [1,2,5,4,3,7,6]=>001101 [1,2,5,4,6,3,7]=>000110 [1,2,5,4,6,7,3]=>000101 [1,2,5,4,7,3,6]=>000101 [1,2,5,4,7,6,3]=>000111 [1,2,5,6,3,4,7]=>000010 [1,2,5,6,3,7,4]=>000011 [1,2,5,6,4,3,7]=>001010 [1,2,5,6,4,7,3]=>000011 [1,2,5,6,7,3,4]=>000001 [1,2,5,6,7,4,3]=>001001 [1,2,5,7,3,4,6]=>000001 [1,2,5,7,3,6,4]=>000011 [1,2,5,7,4,3,6]=>001001 [1,2,5,7,4,6,3]=>000011 [1,2,5,7,6,3,4]=>000011 [1,2,5,7,6,4,3]=>001011 [1,2,6,3,4,5,7]=>000010 [1,2,6,3,4,7,5]=>000011 [1,2,6,3,5,4,7]=>000110 [1,2,6,3,5,7,4]=>000011 [1,2,6,3,7,4,5]=>000011 [1,2,6,3,7,5,4]=>000111 [1,2,6,4,3,5,7]=>001010 [1,2,6,4,3,7,5]=>001011 [1,2,6,4,5,3,7]=>000110 [1,2,6,4,5,7,3]=>000011 [1,2,6,4,7,3,5]=>000011 [1,2,6,4,7,5,3]=>000111 [1,2,6,5,3,4,7]=>000110 [1,2,6,5,3,7,4]=>000111 [1,2,6,5,4,3,7]=>001110 [1,2,6,5,4,7,3]=>000111 [1,2,6,5,7,3,4]=>000011 [1,2,6,5,7,4,3]=>001011 [1,2,6,7,3,4,5]=>000001 [1,2,6,7,3,5,4]=>000101 [1,2,6,7,4,3,5]=>001001 [1,2,6,7,4,5,3]=>000101 [1,2,6,7,5,3,4]=>000101 [1,2,6,7,5,4,3]=>001101 [1,2,7,3,4,5,6]=>000001 [1,2,7,3,4,6,5]=>000011 [1,2,7,3,5,4,6]=>000101 [1,2,7,3,5,6,4]=>000011 [1,2,7,3,6,4,5]=>000011 [1,2,7,3,6,5,4]=>000111 [1,2,7,4,3,5,6]=>001001 [1,2,7,4,3,6,5]=>001011 [1,2,7,4,5,3,6]=>000101 [1,2,7,4,5,6,3]=>000011 [1,2,7,4,6,3,5]=>000011 [1,2,7,4,6,5,3]=>000111 [1,2,7,5,3,4,6]=>000101 [1,2,7,5,3,6,4]=>000111 [1,2,7,5,4,3,6]=>001101 [1,2,7,5,4,6,3]=>000111 [1,2,7,5,6,3,4]=>000011 [1,2,7,5,6,4,3]=>001011 [1,2,7,6,3,4,5]=>000011 [1,2,7,6,3,5,4]=>000111 [1,2,7,6,4,3,5]=>001011 [1,2,7,6,4,5,3]=>000111 [1,2,7,6,5,3,4]=>000111 [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]=>010001 [1,3,2,4,7,5,6]=>010001 [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]=>010010 [1,3,2,5,6,7,4]=>010001 [1,3,2,5,7,4,6]=>010001 [1,3,2,5,7,6,4]=>010011 [1,3,2,6,4,5,7]=>010010 [1,3,2,6,4,7,5]=>010011 [1,3,2,6,5,4,7]=>010110 [1,3,2,6,5,7,4]=>010011 [1,3,2,6,7,4,5]=>010001 [1,3,2,6,7,5,4]=>010101 [1,3,2,7,4,5,6]=>010001 [1,3,2,7,4,6,5]=>010011 [1,3,2,7,5,4,6]=>010101 [1,3,2,7,5,6,4]=>010011 [1,3,2,7,6,4,5]=>010011 [1,3,2,7,6,5,4]=>010111 [1,3,4,2,5,6,7]=>001000 [1,3,4,2,5,7,6]=>001001 [1,3,4,2,6,5,7]=>001010 [1,3,4,2,6,7,5]=>001001 [1,3,4,2,7,5,6]=>001001 [1,3,4,2,7,6,5]=>001011 [1,3,4,5,2,6,7]=>000100 [1,3,4,5,2,7,6]=>000101 [1,3,4,5,6,2,7]=>000010 [1,3,4,5,6,7,2]=>000001 [1,3,4,5,7,2,6]=>000001 [1,3,4,5,7,6,2]=>000011 [1,3,4,6,2,5,7]=>000010 [1,3,4,6,2,7,5]=>000011 [1,3,4,6,5,2,7]=>000110 [1,3,4,6,5,7,2]=>000011 [1,3,4,6,7,2,5]=>000001 [1,3,4,6,7,5,2]=>000101 [1,3,4,7,2,5,6]=>000001 [1,3,4,7,2,6,5]=>000011 [1,3,4,7,5,2,6]=>000101 [1,3,4,7,5,6,2]=>000011 [1,3,4,7,6,2,5]=>000011 [1,3,4,7,6,5,2]=>000111 [1,3,5,2,4,6,7]=>000100 [1,3,5,2,4,7,6]=>000101 [1,3,5,2,6,4,7]=>000110 [1,3,5,2,6,7,4]=>000101 [1,3,5,2,7,4,6]=>000101 [1,3,5,2,7,6,4]=>000111 [1,3,5,4,2,6,7]=>001100 [1,3,5,4,2,7,6]=>001101 [1,3,5,4,6,2,7]=>000110 [1,3,5,4,6,7,2]=>000101 [1,3,5,4,7,2,6]=>000101 [1,3,5,4,7,6,2]=>000111 [1,3,5,6,2,4,7]=>000010 [1,3,5,6,2,7,4]=>000011 [1,3,5,6,4,2,7]=>001010 [1,3,5,6,4,7,2]=>000011 [1,3,5,6,7,2,4]=>000001 [1,3,5,6,7,4,2]=>001001 [1,3,5,7,2,4,6]=>000001 [1,3,5,7,2,6,4]=>000011 [1,3,5,7,4,2,6]=>001001 [1,3,5,7,4,6,2]=>000011 [1,3,5,7,6,2,4]=>000011 [1,3,5,7,6,4,2]=>001011 [1,3,6,2,4,5,7]=>000010 [1,3,6,2,4,7,5]=>000011 [1,3,6,2,5,4,7]=>000110 [1,3,6,2,5,7,4]=>000011 [1,3,6,2,7,4,5]=>000011 [1,3,6,2,7,5,4]=>000111 [1,3,6,4,2,5,7]=>001010 [1,3,6,4,2,7,5]=>001011 [1,3,6,4,5,2,7]=>000110 [1,3,6,4,5,7,2]=>000011 [1,3,6,4,7,2,5]=>000011 [1,3,6,4,7,5,2]=>000111 [1,3,6,5,2,4,7]=>000110 [1,3,6,5,2,7,4]=>000111 [1,3,6,5,4,2,7]=>001110 [1,3,6,5,4,7,2]=>000111 [1,3,6,5,7,2,4]=>000011 [1,3,6,5,7,4,2]=>001011 [1,3,6,7,2,4,5]=>000001 [1,3,6,7,2,5,4]=>000101 [1,3,6,7,4,2,5]=>001001 [1,3,6,7,4,5,2]=>000101 [1,3,6,7,5,2,4]=>000101 [1,3,6,7,5,4,2]=>001101 [1,3,7,2,4,5,6]=>000001 [1,3,7,2,4,6,5]=>000011 [1,3,7,2,5,4,6]=>000101 [1,3,7,2,5,6,4]=>000011 [1,3,7,2,6,4,5]=>000011 [1,3,7,2,6,5,4]=>000111 [1,3,7,4,2,5,6]=>001001 [1,3,7,4,2,6,5]=>001011 [1,3,7,4,5,2,6]=>000101 [1,3,7,4,5,6,2]=>000011 [1,3,7,4,6,2,5]=>000011 [1,3,7,4,6,5,2]=>000111 [1,3,7,5,2,4,6]=>000101 [1,3,7,5,2,6,4]=>000111 [1,3,7,5,4,2,6]=>001101 [1,3,7,5,4,6,2]=>000111 [1,3,7,5,6,2,4]=>000011 [1,3,7,5,6,4,2]=>001011 [1,3,7,6,2,4,5]=>000011 [1,3,7,6,2,5,4]=>000111 [1,3,7,6,4,2,5]=>001011 [1,3,7,6,4,5,2]=>000111 [1,3,7,6,5,2,4]=>000111 [1,3,7,6,5,4,2]=>001111 [1,4,2,3,5,6,7]=>001000 [1,4,2,3,5,7,6]=>001001 [1,4,2,3,6,5,7]=>001010 [1,4,2,3,6,7,5]=>001001 [1,4,2,3,7,5,6]=>001001 [1,4,2,3,7,6,5]=>001011 [1,4,2,5,3,6,7]=>001100 [1,4,2,5,3,7,6]=>001101 [1,4,2,5,6,3,7]=>001010 [1,4,2,5,6,7,3]=>001001 [1,4,2,5,7,3,6]=>001001 [1,4,2,5,7,6,3]=>001011 [1,4,2,6,3,5,7]=>001010 [1,4,2,6,3,7,5]=>001011 [1,4,2,6,5,3,7]=>001110 [1,4,2,6,5,7,3]=>001011 [1,4,2,6,7,3,5]=>001001 [1,4,2,6,7,5,3]=>001101 [1,4,2,7,3,5,6]=>001001 [1,4,2,7,3,6,5]=>001011 [1,4,2,7,5,3,6]=>001101 [1,4,2,7,5,6,3]=>001011 [1,4,2,7,6,3,5]=>001011 [1,4,2,7,6,5,3]=>001111 [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]=>011001 [1,4,3,2,7,5,6]=>011001 [1,4,3,2,7,6,5]=>011011 [1,4,3,5,2,6,7]=>001100 [1,4,3,5,2,7,6]=>001101 [1,4,3,5,6,2,7]=>001010 [1,4,3,5,6,7,2]=>001001 [1,4,3,5,7,2,6]=>001001 [1,4,3,5,7,6,2]=>001011 [1,4,3,6,2,5,7]=>001010 [1,4,3,6,2,7,5]=>001011 [1,4,3,6,5,2,7]=>001110 [1,4,3,6,5,7,2]=>001011 [1,4,3,6,7,2,5]=>001001 [1,4,3,6,7,5,2]=>001101 [1,4,3,7,2,5,6]=>001001 [1,4,3,7,2,6,5]=>001011 [1,4,3,7,5,2,6]=>001101 [1,4,3,7,5,6,2]=>001011 [1,4,3,7,6,2,5]=>001011 [1,4,3,7,6,5,2]=>001111 [1,4,5,2,3,6,7]=>000100 [1,4,5,2,3,7,6]=>000101 [1,4,5,2,6,3,7]=>000110 [1,4,5,2,6,7,3]=>000101 [1,4,5,2,7,3,6]=>000101 [1,4,5,2,7,6,3]=>000111 [1,4,5,3,2,6,7]=>010100 [1,4,5,3,2,7,6]=>010101 [1,4,5,3,6,2,7]=>000110 [1,4,5,3,6,7,2]=>000101 [1,4,5,3,7,2,6]=>000101 [1,4,5,3,7,6,2]=>000111 [1,4,5,6,2,3,7]=>000010 [1,4,5,6,2,7,3]=>000011 [1,4,5,6,3,2,7]=>010010 [1,4,5,6,3,7,2]=>000011 [1,4,5,6,7,2,3]=>000001 [1,4,5,6,7,3,2]=>010001 [1,4,5,7,2,3,6]=>000001 [1,4,5,7,2,6,3]=>000011 [1,4,5,7,3,2,6]=>010001 [1,4,5,7,3,6,2]=>000011 [1,4,5,7,6,2,3]=>000011 [1,4,5,7,6,3,2]=>010011 [1,4,6,2,3,5,7]=>000010 [1,4,6,2,3,7,5]=>000011 [1,4,6,2,5,3,7]=>000110 [1,4,6,2,5,7,3]=>000011 [1,4,6,2,7,3,5]=>000011 [1,4,6,2,7,5,3]=>000111 [1,4,6,3,2,5,7]=>010010 [1,4,6,3,2,7,5]=>010011 [1,4,6,3,5,2,7]=>000110 [1,4,6,3,5,7,2]=>000011 [1,4,6,3,7,2,5]=>000011 [1,4,6,3,7,5,2]=>000111 [1,4,6,5,2,3,7]=>000110 [1,4,6,5,2,7,3]=>000111 [1,4,6,5,3,2,7]=>010110 [1,4,6,5,3,7,2]=>000111 [1,4,6,5,7,2,3]=>000011 [1,4,6,5,7,3,2]=>010011 [1,4,6,7,2,3,5]=>000001 [1,4,6,7,2,5,3]=>000101 [1,4,6,7,3,2,5]=>010001 [1,4,6,7,3,5,2]=>000101 [1,4,6,7,5,2,3]=>000101 [1,4,6,7,5,3,2]=>010101 [1,4,7,2,3,5,6]=>000001 [1,4,7,2,3,6,5]=>000011 [1,4,7,2,5,3,6]=>000101 [1,4,7,2,5,6,3]=>000011 [1,4,7,2,6,3,5]=>000011 [1,4,7,2,6,5,3]=>000111 [1,4,7,3,2,5,6]=>010001 [1,4,7,3,2,6,5]=>010011 [1,4,7,3,5,2,6]=>000101 [1,4,7,3,5,6,2]=>000011 [1,4,7,3,6,2,5]=>000011 [1,4,7,3,6,5,2]=>000111 [1,4,7,5,2,3,6]=>000101 [1,4,7,5,2,6,3]=>000111 [1,4,7,5,3,2,6]=>010101 [1,4,7,5,3,6,2]=>000111 [1,4,7,5,6,2,3]=>000011 [1,4,7,5,6,3,2]=>010011 [1,4,7,6,2,3,5]=>000011 [1,4,7,6,2,5,3]=>000111 [1,4,7,6,3,2,5]=>010011 [1,4,7,6,3,5,2]=>000111 [1,4,7,6,5,2,3]=>000111 [1,4,7,6,5,3,2]=>010111 [1,5,2,3,4,6,7]=>000100 [1,5,2,3,4,7,6]=>000101 [1,5,2,3,6,4,7]=>000110 [1,5,2,3,6,7,4]=>000101 [1,5,2,3,7,4,6]=>000101 [1,5,2,3,7,6,4]=>000111 [1,5,2,4,3,6,7]=>001100 [1,5,2,4,3,7,6]=>001101 [1,5,2,4,6,3,7]=>000110 [1,5,2,4,6,7,3]=>000101 [1,5,2,4,7,3,6]=>000101 [1,5,2,4,7,6,3]=>000111 [1,5,2,6,3,4,7]=>000110 [1,5,2,6,3,7,4]=>000111 [1,5,2,6,4,3,7]=>001110 [1,5,2,6,4,7,3]=>000111 [1,5,2,6,7,3,4]=>000101 [1,5,2,6,7,4,3]=>001101 [1,5,2,7,3,4,6]=>000101 [1,5,2,7,3,6,4]=>000111 [1,5,2,7,4,3,6]=>001101 [1,5,2,7,4,6,3]=>000111 [1,5,2,7,6,3,4]=>000111 [1,5,2,7,6,4,3]=>001111 [1,5,3,2,4,6,7]=>010100 [1,5,3,2,4,7,6]=>010101 [1,5,3,2,6,4,7]=>010110 [1,5,3,2,6,7,4]=>010101 [1,5,3,2,7,4,6]=>010101 [1,5,3,2,7,6,4]=>010111 [1,5,3,4,2,6,7]=>001100 [1,5,3,4,2,7,6]=>001101 [1,5,3,4,6,2,7]=>000110 [1,5,3,4,6,7,2]=>000101 [1,5,3,4,7,2,6]=>000101 [1,5,3,4,7,6,2]=>000111 [1,5,3,6,2,4,7]=>000110 [1,5,3,6,2,7,4]=>000111 [1,5,3,6,4,2,7]=>001110 [1,5,3,6,4,7,2]=>000111 [1,5,3,6,7,2,4]=>000101 [1,5,3,6,7,4,2]=>001101 [1,5,3,7,2,4,6]=>000101 [1,5,3,7,2,6,4]=>000111 [1,5,3,7,4,2,6]=>001101 [1,5,3,7,4,6,2]=>000111 [1,5,3,7,6,2,4]=>000111 [1,5,3,7,6,4,2]=>001111 [1,5,4,2,3,6,7]=>001100 [1,5,4,2,3,7,6]=>001101 [1,5,4,2,6,3,7]=>001110 [1,5,4,2,6,7,3]=>001101 [1,5,4,2,7,3,6]=>001101 [1,5,4,2,7,6,3]=>001111 [1,5,4,3,2,6,7]=>011100 [1,5,4,3,2,7,6]=>011101 [1,5,4,3,6,2,7]=>001110 [1,5,4,3,6,7,2]=>001101 [1,5,4,3,7,2,6]=>001101 [1,5,4,3,7,6,2]=>001111 [1,5,4,6,2,3,7]=>000110 [1,5,4,6,2,7,3]=>000111 [1,5,4,6,3,2,7]=>010110 [1,5,4,6,3,7,2]=>000111 [1,5,4,6,7,2,3]=>000101 [1,5,4,6,7,3,2]=>010101 [1,5,4,7,2,3,6]=>000101 [1,5,4,7,2,6,3]=>000111 [1,5,4,7,3,2,6]=>010101 [1,5,4,7,3,6,2]=>000111 [1,5,4,7,6,2,3]=>000111 [1,5,4,7,6,3,2]=>010111 [1,5,6,2,3,4,7]=>000010 [1,5,6,2,3,7,4]=>000011 [1,5,6,2,4,3,7]=>001010 [1,5,6,2,4,7,3]=>000011 [1,5,6,2,7,3,4]=>000011 [1,5,6,2,7,4,3]=>001011 [1,5,6,3,2,4,7]=>010010 [1,5,6,3,2,7,4]=>010011 [1,5,6,3,4,2,7]=>001010 [1,5,6,3,4,7,2]=>000011 [1,5,6,3,7,2,4]=>000011 [1,5,6,3,7,4,2]=>001011 [1,5,6,4,2,3,7]=>001010 [1,5,6,4,2,7,3]=>001011 [1,5,6,4,3,2,7]=>011010 [1,5,6,4,3,7,2]=>001011 [1,5,6,4,7,2,3]=>000011 [1,5,6,4,7,3,2]=>010011 [1,5,6,7,2,3,4]=>000001 [1,5,6,7,2,4,3]=>001001 [1,5,6,7,3,2,4]=>010001 [1,5,6,7,3,4,2]=>001001 [1,5,6,7,4,2,3]=>001001 [1,5,6,7,4,3,2]=>011001 [1,5,7,2,3,4,6]=>000001 [1,5,7,2,3,6,4]=>000011 [1,5,7,2,4,3,6]=>001001 [1,5,7,2,4,6,3]=>000011 [1,5,7,2,6,3,4]=>000011 [1,5,7,2,6,4,3]=>001011 [1,5,7,3,2,4,6]=>010001 [1,5,7,3,2,6,4]=>010011 [1,5,7,3,4,2,6]=>001001 [1,5,7,3,4,6,2]=>000011 [1,5,7,3,6,2,4]=>000011 [1,5,7,3,6,4,2]=>001011 [1,5,7,4,2,3,6]=>001001 [1,5,7,4,2,6,3]=>001011 [1,5,7,4,3,2,6]=>011001 [1,5,7,4,3,6,2]=>001011 [1,5,7,4,6,2,3]=>000011 [1,5,7,4,6,3,2]=>010011 [1,5,7,6,2,3,4]=>000011 [1,5,7,6,2,4,3]=>001011 [1,5,7,6,3,2,4]=>010011 [1,5,7,6,3,4,2]=>001011 [1,5,7,6,4,2,3]=>001011 [1,5,7,6,4,3,2]=>011011 [1,6,2,3,4,5,7]=>000010 [1,6,2,3,4,7,5]=>000011 [1,6,2,3,5,4,7]=>000110 [1,6,2,3,5,7,4]=>000011 [1,6,2,3,7,4,5]=>000011 [1,6,2,3,7,5,4]=>000111 [1,6,2,4,3,5,7]=>001010 [1,6,2,4,3,7,5]=>001011 [1,6,2,4,5,3,7]=>000110 [1,6,2,4,5,7,3]=>000011 [1,6,2,4,7,3,5]=>000011 [1,6,2,4,7,5,3]=>000111 [1,6,2,5,3,4,7]=>000110 [1,6,2,5,3,7,4]=>000111 [1,6,2,5,4,3,7]=>001110 [1,6,2,5,4,7,3]=>000111 [1,6,2,5,7,3,4]=>000011 [1,6,2,5,7,4,3]=>001011 [1,6,2,7,3,4,5]=>000011 [1,6,2,7,3,5,4]=>000111 [1,6,2,7,4,3,5]=>001011 [1,6,2,7,4,5,3]=>000111 [1,6,2,7,5,3,4]=>000111 [1,6,2,7,5,4,3]=>001111 [1,6,3,2,4,5,7]=>010010 [1,6,3,2,4,7,5]=>010011 [1,6,3,2,5,4,7]=>010110 [1,6,3,2,5,7,4]=>010011 [1,6,3,2,7,4,5]=>010011 [1,6,3,2,7,5,4]=>010111 [1,6,3,4,2,5,7]=>001010 [1,6,3,4,2,7,5]=>001011 [1,6,3,4,5,2,7]=>000110 [1,6,3,4,5,7,2]=>000011 [1,6,3,4,7,2,5]=>000011 [1,6,3,4,7,5,2]=>000111 [1,6,3,5,2,4,7]=>000110 [1,6,3,5,2,7,4]=>000111 [1,6,3,5,4,2,7]=>001110 [1,6,3,5,4,7,2]=>000111 [1,6,3,5,7,2,4]=>000011 [1,6,3,5,7,4,2]=>001011 [1,6,3,7,2,4,5]=>000011 [1,6,3,7,2,5,4]=>000111 [1,6,3,7,4,2,5]=>001011 [1,6,3,7,4,5,2]=>000111 [1,6,3,7,5,2,4]=>000111 [1,6,3,7,5,4,2]=>001111 [1,6,4,2,3,5,7]=>001010 [1,6,4,2,3,7,5]=>001011 [1,6,4,2,5,3,7]=>001110 [1,6,4,2,5,7,3]=>001011 [1,6,4,2,7,3,5]=>001011 [1,6,4,2,7,5,3]=>001111 [1,6,4,3,2,5,7]=>011010 [1,6,4,3,2,7,5]=>011011 [1,6,4,3,5,2,7]=>001110 [1,6,4,3,5,7,2]=>001011 [1,6,4,3,7,2,5]=>001011 [1,6,4,3,7,5,2]=>001111 [1,6,4,5,2,3,7]=>000110 [1,6,4,5,2,7,3]=>000111 [1,6,4,5,3,2,7]=>010110 [1,6,4,5,3,7,2]=>000111 [1,6,4,5,7,2,3]=>000011 [1,6,4,5,7,3,2]=>010011 [1,6,4,7,2,3,5]=>000011 [1,6,4,7,2,5,3]=>000111 [1,6,4,7,3,2,5]=>010011 [1,6,4,7,3,5,2]=>000111 [1,6,4,7,5,2,3]=>000111 [1,6,4,7,5,3,2]=>010111 [1,6,5,2,3,4,7]=>000110 [1,6,5,2,3,7,4]=>000111 [1,6,5,2,4,3,7]=>001110 [1,6,5,2,4,7,3]=>000111 [1,6,5,2,7,3,4]=>000111 [1,6,5,2,7,4,3]=>001111 [1,6,5,3,2,4,7]=>010110 [1,6,5,3,2,7,4]=>010111 [1,6,5,3,4,2,7]=>001110 [1,6,5,3,4,7,2]=>000111 [1,6,5,3,7,2,4]=>000111 [1,6,5,3,7,4,2]=>001111 [1,6,5,4,2,3,7]=>001110 [1,6,5,4,2,7,3]=>001111 [1,6,5,4,3,2,7]=>011110 [1,6,5,4,3,7,2]=>001111 [1,6,5,4,7,2,3]=>000111 [1,6,5,4,7,3,2]=>010111 [1,6,5,7,2,3,4]=>000011 [1,6,5,7,2,4,3]=>001011 [1,6,5,7,3,2,4]=>010011 [1,6,5,7,3,4,2]=>001011 [1,6,5,7,4,2,3]=>001011 [1,6,5,7,4,3,2]=>011011 [1,6,7,2,3,4,5]=>000001 [1,6,7,2,3,5,4]=>000101 [1,6,7,2,4,3,5]=>001001 [1,6,7,2,4,5,3]=>000101 [1,6,7,2,5,3,4]=>000101 [1,6,7,2,5,4,3]=>001101 [1,6,7,3,2,4,5]=>010001 [1,6,7,3,2,5,4]=>010101 [1,6,7,3,4,2,5]=>001001 [1,6,7,3,4,5,2]=>000101 [1,6,7,3,5,2,4]=>000101 [1,6,7,3,5,4,2]=>001101 [1,6,7,4,2,3,5]=>001001 [1,6,7,4,2,5,3]=>001101 [1,6,7,4,3,2,5]=>011001 [1,6,7,4,3,5,2]=>001101 [1,6,7,4,5,2,3]=>000101 [1,6,7,4,5,3,2]=>010101 [1,6,7,5,2,3,4]=>000101 [1,6,7,5,2,4,3]=>001101 [1,6,7,5,3,2,4]=>010101 [1,6,7,5,3,4,2]=>001101 [1,6,7,5,4,2,3]=>001101 [1,6,7,5,4,3,2]=>011101 [1,7,2,3,4,5,6]=>000001 [1,7,2,3,4,6,5]=>000011 [1,7,2,3,5,4,6]=>000101 [1,7,2,3,5,6,4]=>000011 [1,7,2,3,6,4,5]=>000011 [1,7,2,3,6,5,4]=>000111 [1,7,2,4,3,5,6]=>001001 [1,7,2,4,3,6,5]=>001011 [1,7,2,4,5,3,6]=>000101 [1,7,2,4,5,6,3]=>000011 [1,7,2,4,6,3,5]=>000011 [1,7,2,4,6,5,3]=>000111 [1,7,2,5,3,4,6]=>000101 [1,7,2,5,3,6,4]=>000111 [1,7,2,5,4,3,6]=>001101 [1,7,2,5,4,6,3]=>000111 [1,7,2,5,6,3,4]=>000011 [1,7,2,5,6,4,3]=>001011 [1,7,2,6,3,4,5]=>000011 [1,7,2,6,3,5,4]=>000111 [1,7,2,6,4,3,5]=>001011 [1,7,2,6,4,5,3]=>000111 [1,7,2,6,5,3,4]=>000111 [1,7,2,6,5,4,3]=>001111 [1,7,3,2,4,5,6]=>010001 [1,7,3,2,4,6,5]=>010011 [1,7,3,2,5,4,6]=>010101 [1,7,3,2,5,6,4]=>010011 [1,7,3,2,6,4,5]=>010011 [1,7,3,2,6,5,4]=>010111 [1,7,3,4,2,5,6]=>001001 [1,7,3,4,2,6,5]=>001011 [1,7,3,4,5,2,6]=>000101 [1,7,3,4,5,6,2]=>000011 [1,7,3,4,6,2,5]=>000011 [1,7,3,4,6,5,2]=>000111 [1,7,3,5,2,4,6]=>000101 [1,7,3,5,2,6,4]=>000111 [1,7,3,5,4,2,6]=>001101 [1,7,3,5,4,6,2]=>000111 [1,7,3,5,6,2,4]=>000011 [1,7,3,5,6,4,2]=>001011 [1,7,3,6,2,4,5]=>000011 [1,7,3,6,2,5,4]=>000111 [1,7,3,6,4,2,5]=>001011 [1,7,3,6,4,5,2]=>000111 [1,7,3,6,5,2,4]=>000111 [1,7,3,6,5,4,2]=>001111 [1,7,4,2,3,5,6]=>001001 [1,7,4,2,3,6,5]=>001011 [1,7,4,2,5,3,6]=>001101 [1,7,4,2,5,6,3]=>001011 [1,7,4,2,6,3,5]=>001011 [1,7,4,2,6,5,3]=>001111 [1,7,4,3,2,5,6]=>011001 [1,7,4,3,2,6,5]=>011011 [1,7,4,3,5,2,6]=>001101 [1,7,4,3,5,6,2]=>001011 [1,7,4,3,6,2,5]=>001011 [1,7,4,3,6,5,2]=>001111 [1,7,4,5,2,3,6]=>000101 [1,7,4,5,2,6,3]=>000111 [1,7,4,5,3,2,6]=>010101 [1,7,4,5,3,6,2]=>000111 [1,7,4,5,6,2,3]=>000011 [1,7,4,5,6,3,2]=>010011 [1,7,4,6,2,3,5]=>000011 [1,7,4,6,2,5,3]=>000111 [1,7,4,6,3,2,5]=>010011 [1,7,4,6,3,5,2]=>000111 [1,7,4,6,5,2,3]=>000111 [1,7,4,6,5,3,2]=>010111 [1,7,5,2,3,4,6]=>000101 [1,7,5,2,3,6,4]=>000111 [1,7,5,2,4,3,6]=>001101 [1,7,5,2,4,6,3]=>000111 [1,7,5,2,6,3,4]=>000111 [1,7,5,2,6,4,3]=>001111 [1,7,5,3,2,4,6]=>010101 [1,7,5,3,2,6,4]=>010111 [1,7,5,3,4,2,6]=>001101 [1,7,5,3,4,6,2]=>000111 [1,7,5,3,6,2,4]=>000111 [1,7,5,3,6,4,2]=>001111 [1,7,5,4,2,3,6]=>001101 [1,7,5,4,2,6,3]=>001111 [1,7,5,4,3,2,6]=>011101 [1,7,5,4,3,6,2]=>001111 [1,7,5,4,6,2,3]=>000111 [1,7,5,4,6,3,2]=>010111 [1,7,5,6,2,3,4]=>000011 [1,7,5,6,2,4,3]=>001011 [1,7,5,6,3,2,4]=>010011 [1,7,5,6,3,4,2]=>001011 [1,7,5,6,4,2,3]=>001011 [1,7,5,6,4,3,2]=>011011 [1,7,6,2,3,4,5]=>000011 [1,7,6,2,3,5,4]=>000111 [1,7,6,2,4,3,5]=>001011 [1,7,6,2,4,5,3]=>000111 [1,7,6,2,5,3,4]=>000111 [1,7,6,2,5,4,3]=>001111 [1,7,6,3,2,4,5]=>010011 [1,7,6,3,2,5,4]=>010111 [1,7,6,3,4,2,5]=>001011 [1,7,6,3,4,5,2]=>000111 [1,7,6,3,5,2,4]=>000111 [1,7,6,3,5,4,2]=>001111 [1,7,6,4,2,3,5]=>001011 [1,7,6,4,2,5,3]=>001111 [1,7,6,4,3,2,5]=>011011 [1,7,6,4,3,5,2]=>001111 [1,7,6,4,5,2,3]=>000111 [1,7,6,4,5,3,2]=>010111 [1,7,6,5,2,3,4]=>000111 [1,7,6,5,2,4,3]=>001111 [1,7,6,5,3,2,4]=>010111 [1,7,6,5,3,4,2]=>001111 [1,7,6,5,4,2,3]=>001111 [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]=>100001 [2,1,3,4,7,5,6]=>100001 [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]=>100010 [2,1,3,5,6,7,4]=>100001 [2,1,3,5,7,4,6]=>100001 [2,1,3,5,7,6,4]=>100011 [2,1,3,6,4,5,7]=>100010 [2,1,3,6,4,7,5]=>100011 [2,1,3,6,5,4,7]=>100110 [2,1,3,6,5,7,4]=>100011 [2,1,3,6,7,4,5]=>100001 [2,1,3,6,7,5,4]=>100101 [2,1,3,7,4,5,6]=>100001 [2,1,3,7,4,6,5]=>100011 [2,1,3,7,5,4,6]=>100101 [2,1,3,7,5,6,4]=>100011 [2,1,3,7,6,4,5]=>100011 [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]=>101001 [2,1,4,3,7,5,6]=>101001 [2,1,4,3,7,6,5]=>101011 [2,1,4,5,3,6,7]=>100100 [2,1,4,5,3,7,6]=>100101 [2,1,4,5,6,3,7]=>100010 [2,1,4,5,6,7,3]=>100001 [2,1,4,5,7,3,6]=>100001 [2,1,4,5,7,6,3]=>100011 [2,1,4,6,3,5,7]=>100010 [2,1,4,6,3,7,5]=>100011 [2,1,4,6,5,3,7]=>100110 [2,1,4,6,5,7,3]=>100011 [2,1,4,6,7,3,5]=>100001 [2,1,4,6,7,5,3]=>100101 [2,1,4,7,3,5,6]=>100001 [2,1,4,7,3,6,5]=>100011 [2,1,4,7,5,3,6]=>100101 [2,1,4,7,5,6,3]=>100011 [2,1,4,7,6,3,5]=>100011 [2,1,4,7,6,5,3]=>100111 [2,1,5,3,4,6,7]=>100100 [2,1,5,3,4,7,6]=>100101 [2,1,5,3,6,4,7]=>100110 [2,1,5,3,6,7,4]=>100101 [2,1,5,3,7,4,6]=>100101 [2,1,5,3,7,6,4]=>100111 [2,1,5,4,3,6,7]=>101100 [2,1,5,4,3,7,6]=>101101 [2,1,5,4,6,3,7]=>100110 [2,1,5,4,6,7,3]=>100101 [2,1,5,4,7,3,6]=>100101 [2,1,5,4,7,6,3]=>100111 [2,1,5,6,3,4,7]=>100010 [2,1,5,6,3,7,4]=>100011 [2,1,5,6,4,3,7]=>101010 [2,1,5,6,4,7,3]=>100011 [2,1,5,6,7,3,4]=>100001 [2,1,5,6,7,4,3]=>101001 [2,1,5,7,3,4,6]=>100001 [2,1,5,7,3,6,4]=>100011 [2,1,5,7,4,3,6]=>101001 [2,1,5,7,4,6,3]=>100011 [2,1,5,7,6,3,4]=>100011 [2,1,5,7,6,4,3]=>101011 [2,1,6,3,4,5,7]=>100010 [2,1,6,3,4,7,5]=>100011 [2,1,6,3,5,4,7]=>100110 [2,1,6,3,5,7,4]=>100011 [2,1,6,3,7,4,5]=>100011 [2,1,6,3,7,5,4]=>100111 [2,1,6,4,3,5,7]=>101010 [2,1,6,4,3,7,5]=>101011 [2,1,6,4,5,3,7]=>100110 [2,1,6,4,5,7,3]=>100011 [2,1,6,4,7,3,5]=>100011 [2,1,6,4,7,5,3]=>100111 [2,1,6,5,3,4,7]=>100110 [2,1,6,5,3,7,4]=>100111 [2,1,6,5,4,3,7]=>101110 [2,1,6,5,4,7,3]=>100111 [2,1,6,5,7,3,4]=>100011 [2,1,6,5,7,4,3]=>101011 [2,1,6,7,3,4,5]=>100001 [2,1,6,7,3,5,4]=>100101 [2,1,6,7,4,3,5]=>101001 [2,1,6,7,4,5,3]=>100101 [2,1,6,7,5,3,4]=>100101 [2,1,6,7,5,4,3]=>101101 [2,1,7,3,4,5,6]=>100001 [2,1,7,3,4,6,5]=>100011 [2,1,7,3,5,4,6]=>100101 [2,1,7,3,5,6,4]=>100011 [2,1,7,3,6,4,5]=>100011 [2,1,7,3,6,5,4]=>100111 [2,1,7,4,3,5,6]=>101001 [2,1,7,4,3,6,5]=>101011 [2,1,7,4,5,3,6]=>100101 [2,1,7,4,5,6,3]=>100011 [2,1,7,4,6,3,5]=>100011 [2,1,7,4,6,5,3]=>100111 [2,1,7,5,3,4,6]=>100101 [2,1,7,5,3,6,4]=>100111 [2,1,7,5,4,3,6]=>101101 [2,1,7,5,4,6,3]=>100111 [2,1,7,5,6,3,4]=>100011 [2,1,7,5,6,4,3]=>101011 [2,1,7,6,3,4,5]=>100011 [2,1,7,6,3,5,4]=>100111 [2,1,7,6,4,3,5]=>101011 [2,1,7,6,4,5,3]=>100111 [2,1,7,6,5,3,4]=>100111 [2,1,7,6,5,4,3]=>101111 [2,3,1,4,5,6,7]=>010000 [2,3,1,4,5,7,6]=>010001 [2,3,1,4,6,5,7]=>010010 [2,3,1,4,6,7,5]=>010001 [2,3,1,4,7,5,6]=>010001 [2,3,1,4,7,6,5]=>010011 [2,3,1,5,4,6,7]=>010100 [2,3,1,5,4,7,6]=>010101 [2,3,1,5,6,4,7]=>010010 [2,3,1,5,6,7,4]=>010001 [2,3,1,5,7,4,6]=>010001 [2,3,1,5,7,6,4]=>010011 [2,3,1,6,4,5,7]=>010010 [2,3,1,6,4,7,5]=>010011 [2,3,1,6,5,4,7]=>010110 [2,3,1,6,5,7,4]=>010011 [2,3,1,6,7,4,5]=>010001 [2,3,1,6,7,5,4]=>010101 [2,3,1,7,4,5,6]=>010001 [2,3,1,7,4,6,5]=>010011 [2,3,1,7,5,4,6]=>010101 [2,3,1,7,5,6,4]=>010011 [2,3,1,7,6,4,5]=>010011 [2,3,1,7,6,5,4]=>010111 [2,3,4,1,5,6,7]=>001000 [2,3,4,1,5,7,6]=>001001 [2,3,4,1,6,5,7]=>001010 [2,3,4,1,6,7,5]=>001001 [2,3,4,1,7,5,6]=>001001 [2,3,4,1,7,6,5]=>001011 [2,3,4,5,1,6,7]=>000100 [2,3,4,5,1,7,6]=>000101 [2,3,4,5,6,1,7]=>000010 [2,3,4,5,6,7,1]=>000001 [2,3,4,5,7,1,6]=>000001 [2,3,4,5,7,6,1]=>000011 [2,3,4,6,1,5,7]=>000010 [2,3,4,6,1,7,5]=>000011 [2,3,4,6,5,1,7]=>000110 [2,3,4,6,5,7,1]=>000011 [2,3,4,6,7,1,5]=>000001 [2,3,4,6,7,5,1]=>000101 [2,3,4,7,1,5,6]=>000001 [2,3,4,7,1,6,5]=>000011 [2,3,4,7,5,1,6]=>000101 [2,3,4,7,5,6,1]=>000011 [2,3,4,7,6,1,5]=>000011 [2,3,4,7,6,5,1]=>000111 [2,3,5,1,4,6,7]=>000100 [2,3,5,1,4,7,6]=>000101 [2,3,5,1,6,4,7]=>000110 [2,3,5,1,6,7,4]=>000101 [2,3,5,1,7,4,6]=>000101 [2,3,5,1,7,6,4]=>000111 [2,3,5,4,1,6,7]=>001100 [2,3,5,4,1,7,6]=>001101 [2,3,5,4,6,1,7]=>000110 [2,3,5,4,6,7,1]=>000101 [2,3,5,4,7,1,6]=>000101 [2,3,5,4,7,6,1]=>000111 [2,3,5,6,1,4,7]=>000010 [2,3,5,6,1,7,4]=>000011 [2,3,5,6,4,1,7]=>001010 [2,3,5,6,4,7,1]=>000011 [2,3,5,6,7,1,4]=>000001 [2,3,5,6,7,4,1]=>001001 [2,3,5,7,1,4,6]=>000001 [2,3,5,7,1,6,4]=>000011 [2,3,5,7,4,1,6]=>001001 [2,3,5,7,4,6,1]=>000011 [2,3,5,7,6,1,4]=>000011 [2,3,5,7,6,4,1]=>001011 [2,3,6,1,4,5,7]=>000010 [2,3,6,1,4,7,5]=>000011 [2,3,6,1,5,4,7]=>000110 [2,3,6,1,5,7,4]=>000011 [2,3,6,1,7,4,5]=>000011 [2,3,6,1,7,5,4]=>000111 [2,3,6,4,1,5,7]=>001010 [2,3,6,4,1,7,5]=>001011 [2,3,6,4,5,1,7]=>000110 [2,3,6,4,5,7,1]=>000011 [2,3,6,4,7,1,5]=>000011 [2,3,6,4,7,5,1]=>000111 [2,3,6,5,1,4,7]=>000110 [2,3,6,5,1,7,4]=>000111 [2,3,6,5,4,1,7]=>001110 [2,3,6,5,4,7,1]=>000111 [2,3,6,5,7,1,4]=>000011 [2,3,6,5,7,4,1]=>001011 [2,3,6,7,1,4,5]=>000001 [2,3,6,7,1,5,4]=>000101 [2,3,6,7,4,1,5]=>001001 [2,3,6,7,4,5,1]=>000101 [2,3,6,7,5,1,4]=>000101 [2,3,6,7,5,4,1]=>001101 [2,3,7,1,4,5,6]=>000001 [2,3,7,1,4,6,5]=>000011 [2,3,7,1,5,4,6]=>000101 [2,3,7,1,5,6,4]=>000011 [2,3,7,1,6,4,5]=>000011 [2,3,7,1,6,5,4]=>000111 [2,3,7,4,1,5,6]=>001001 [2,3,7,4,1,6,5]=>001011 [2,3,7,4,5,1,6]=>000101 [2,3,7,4,5,6,1]=>000011 [2,3,7,4,6,1,5]=>000011 [2,3,7,4,6,5,1]=>000111 [2,3,7,5,1,4,6]=>000101 [2,3,7,5,1,6,4]=>000111 [2,3,7,5,4,1,6]=>001101 [2,3,7,5,4,6,1]=>000111 [2,3,7,5,6,1,4]=>000011 [2,3,7,5,6,4,1]=>001011 [2,3,7,6,1,4,5]=>000011 [2,3,7,6,1,5,4]=>000111 [2,3,7,6,4,1,5]=>001011 [2,3,7,6,4,5,1]=>000111 [2,3,7,6,5,1,4]=>000111 [2,3,7,6,5,4,1]=>001111 [2,4,1,3,5,6,7]=>001000 [2,4,1,3,5,7,6]=>001001 [2,4,1,3,6,5,7]=>001010 [2,4,1,3,6,7,5]=>001001 [2,4,1,3,7,5,6]=>001001 [2,4,1,3,7,6,5]=>001011 [2,4,1,5,3,6,7]=>001100 [2,4,1,5,3,7,6]=>001101 [2,4,1,5,6,3,7]=>001010 [2,4,1,5,6,7,3]=>001001 [2,4,1,5,7,3,6]=>001001 [2,4,1,5,7,6,3]=>001011 [2,4,1,6,3,5,7]=>001010 [2,4,1,6,3,7,5]=>001011 [2,4,1,6,5,3,7]=>001110 [2,4,1,6,5,7,3]=>001011 [2,4,1,6,7,3,5]=>001001 [2,4,1,6,7,5,3]=>001101 [2,4,1,7,3,5,6]=>001001 [2,4,1,7,3,6,5]=>001011 [2,4,1,7,5,3,6]=>001101 [2,4,1,7,5,6,3]=>001011 [2,4,1,7,6,3,5]=>001011 [2,4,1,7,6,5,3]=>001111 [2,4,3,1,5,6,7]=>011000 [2,4,3,1,5,7,6]=>011001 [2,4,3,1,6,5,7]=>011010 [2,4,3,1,6,7,5]=>011001 [2,4,3,1,7,5,6]=>011001 [2,4,3,1,7,6,5]=>011011 [2,4,3,5,1,6,7]=>001100 [2,4,3,5,1,7,6]=>001101 [2,4,3,5,6,1,7]=>001010 [2,4,3,5,6,7,1]=>001001 [2,4,3,5,7,1,6]=>001001 [2,4,3,5,7,6,1]=>001011 [2,4,3,6,1,5,7]=>001010 [2,4,3,6,1,7,5]=>001011 [2,4,3,6,5,1,7]=>001110 [2,4,3,6,5,7,1]=>001011 [2,4,3,6,7,1,5]=>001001 [2,4,3,6,7,5,1]=>001101 [2,4,3,7,1,5,6]=>001001 [2,4,3,7,1,6,5]=>001011 [2,4,3,7,5,1,6]=>001101 [2,4,3,7,5,6,1]=>001011 [2,4,3,7,6,1,5]=>001011 [2,4,3,7,6,5,1]=>001111 [2,4,5,1,3,6,7]=>000100 [2,4,5,1,3,7,6]=>000101 [2,4,5,1,6,3,7]=>000110 [2,4,5,1,6,7,3]=>000101 [2,4,5,1,7,3,6]=>000101 [2,4,5,1,7,6,3]=>000111 [2,4,5,3,1,6,7]=>010100 [2,4,5,3,1,7,6]=>010101 [2,4,5,3,6,1,7]=>000110 [2,4,5,3,6,7,1]=>000101 [2,4,5,3,7,1,6]=>000101 [2,4,5,3,7,6,1]=>000111 [2,4,5,6,1,3,7]=>000010 [2,4,5,6,1,7,3]=>000011 [2,4,5,6,3,1,7]=>010010 [2,4,5,6,3,7,1]=>000011 [2,4,5,6,7,1,3]=>000001 [2,4,5,6,7,3,1]=>010001 [2,4,5,7,1,3,6]=>000001 [2,4,5,7,1,6,3]=>000011 [2,4,5,7,3,1,6]=>010001 [2,4,5,7,3,6,1]=>000011 [2,4,5,7,6,1,3]=>000011 [2,4,5,7,6,3,1]=>010011 [2,4,6,1,3,5,7]=>000010 [2,4,6,1,3,7,5]=>000011 [2,4,6,1,5,3,7]=>000110 [2,4,6,1,5,7,3]=>000011 [2,4,6,1,7,3,5]=>000011 [2,4,6,1,7,5,3]=>000111 [2,4,6,3,1,5,7]=>010010 [2,4,6,3,1,7,5]=>010011 [2,4,6,3,5,1,7]=>000110 [2,4,6,3,5,7,1]=>000011 [2,4,6,3,7,1,5]=>000011 [2,4,6,3,7,5,1]=>000111 [2,4,6,5,1,3,7]=>000110 [2,4,6,5,1,7,3]=>000111 [2,4,6,5,3,1,7]=>010110 [2,4,6,5,3,7,1]=>000111 [2,4,6,5,7,1,3]=>000011 [2,4,6,5,7,3,1]=>010011 [2,4,6,7,1,3,5]=>000001 [2,4,6,7,1,5,3]=>000101 [2,4,6,7,3,1,5]=>010001 [2,4,6,7,3,5,1]=>000101 [2,4,6,7,5,1,3]=>000101 [2,4,6,7,5,3,1]=>010101 [2,4,7,1,3,5,6]=>000001 [2,4,7,1,3,6,5]=>000011 [2,4,7,1,5,3,6]=>000101 [2,4,7,1,5,6,3]=>000011 [2,4,7,1,6,3,5]=>000011 [2,4,7,1,6,5,3]=>000111 [2,4,7,3,1,5,6]=>010001 [2,4,7,3,1,6,5]=>010011 [2,4,7,3,5,1,6]=>000101 [2,4,7,3,5,6,1]=>000011 [2,4,7,3,6,1,5]=>000011 [2,4,7,3,6,5,1]=>000111 [2,4,7,5,1,3,6]=>000101 [2,4,7,5,1,6,3]=>000111 [2,4,7,5,3,1,6]=>010101 [2,4,7,5,3,6,1]=>000111 [2,4,7,5,6,1,3]=>000011 [2,4,7,5,6,3,1]=>010011 [2,4,7,6,1,3,5]=>000011 [2,4,7,6,1,5,3]=>000111 [2,4,7,6,3,1,5]=>010011 [2,4,7,6,3,5,1]=>000111 [2,4,7,6,5,1,3]=>000111 [2,4,7,6,5,3,1]=>010111 [2,5,1,3,4,6,7]=>000100 [2,5,1,3,4,7,6]=>000101 [2,5,1,3,6,4,7]=>000110 [2,5,1,3,6,7,4]=>000101 [2,5,1,3,7,4,6]=>000101 [2,5,1,3,7,6,4]=>000111 [2,5,1,4,3,6,7]=>001100 [2,5,1,4,3,7,6]=>001101 [2,5,1,4,6,3,7]=>000110 [2,5,1,4,6,7,3]=>000101 [2,5,1,4,7,3,6]=>000101 [2,5,1,4,7,6,3]=>000111 [2,5,1,6,3,4,7]=>000110 [2,5,1,6,3,7,4]=>000111 [2,5,1,6,4,3,7]=>001110 [2,5,1,6,4,7,3]=>000111 [2,5,1,6,7,3,4]=>000101 [2,5,1,6,7,4,3]=>001101 [2,5,1,7,3,4,6]=>000101 [2,5,1,7,3,6,4]=>000111 [2,5,1,7,4,3,6]=>001101 [2,5,1,7,4,6,3]=>000111 [2,5,1,7,6,3,4]=>000111 [2,5,1,7,6,4,3]=>001111 [2,5,3,1,4,6,7]=>010100 [2,5,3,1,4,7,6]=>010101 [2,5,3,1,6,4,7]=>010110 [2,5,3,1,6,7,4]=>010101 [2,5,3,1,7,4,6]=>010101 [2,5,3,1,7,6,4]=>010111 [2,5,3,4,1,6,7]=>001100 [2,5,3,4,1,7,6]=>001101 [2,5,3,4,6,1,7]=>000110 [2,5,3,4,6,7,1]=>000101 [2,5,3,4,7,1,6]=>000101 [2,5,3,4,7,6,1]=>000111 [2,5,3,6,1,4,7]=>000110 [2,5,3,6,1,7,4]=>000111 [2,5,3,6,4,1,7]=>001110 [2,5,3,6,4,7,1]=>000111 [2,5,3,6,7,1,4]=>000101 [2,5,3,6,7,4,1]=>001101 [2,5,3,7,1,4,6]=>000101 [2,5,3,7,1,6,4]=>000111 [2,5,3,7,4,1,6]=>001101 [2,5,3,7,4,6,1]=>000111 [2,5,3,7,6,1,4]=>000111 [2,5,3,7,6,4,1]=>001111 [2,5,4,1,3,6,7]=>001100 [2,5,4,1,3,7,6]=>001101 [2,5,4,1,6,3,7]=>001110 [2,5,4,1,6,7,3]=>001101 [2,5,4,1,7,3,6]=>001101 [2,5,4,1,7,6,3]=>001111 [2,5,4,3,1,6,7]=>011100 [2,5,4,3,1,7,6]=>011101 [2,5,4,3,6,1,7]=>001110 [2,5,4,3,6,7,1]=>001101 [2,5,4,3,7,1,6]=>001101 [2,5,4,3,7,6,1]=>001111 [2,5,4,6,1,3,7]=>000110 [2,5,4,6,1,7,3]=>000111 [2,5,4,6,3,1,7]=>010110 [2,5,4,6,3,7,1]=>000111 [2,5,4,6,7,1,3]=>000101 [2,5,4,6,7,3,1]=>010101 [2,5,4,7,1,3,6]=>000101 [2,5,4,7,1,6,3]=>000111 [2,5,4,7,3,1,6]=>010101 [2,5,4,7,3,6,1]=>000111 [2,5,4,7,6,1,3]=>000111 [2,5,4,7,6,3,1]=>010111 [2,5,6,1,3,4,7]=>000010 [2,5,6,1,3,7,4]=>000011 [2,5,6,1,4,3,7]=>001010 [2,5,6,1,4,7,3]=>000011 [2,5,6,1,7,3,4]=>000011 [2,5,6,1,7,4,3]=>001011 [2,5,6,3,1,4,7]=>010010 [2,5,6,3,1,7,4]=>010011 [2,5,6,3,4,1,7]=>001010 [2,5,6,3,4,7,1]=>000011 [2,5,6,3,7,1,4]=>000011 [2,5,6,3,7,4,1]=>001011 [2,5,6,4,1,3,7]=>001010 [2,5,6,4,1,7,3]=>001011 [2,5,6,4,3,1,7]=>011010 [2,5,6,4,3,7,1]=>001011 [2,5,6,4,7,1,3]=>000011 [2,5,6,4,7,3,1]=>010011 [2,5,6,7,1,3,4]=>000001 [2,5,6,7,1,4,3]=>001001 [2,5,6,7,3,1,4]=>010001 [2,5,6,7,3,4,1]=>001001 [2,5,6,7,4,1,3]=>001001 [2,5,6,7,4,3,1]=>011001 [2,5,7,1,3,4,6]=>000001 [2,5,7,1,3,6,4]=>000011 [2,5,7,1,4,3,6]=>001001 [2,5,7,1,4,6,3]=>000011 [2,5,7,1,6,3,4]=>000011 [2,5,7,1,6,4,3]=>001011 [2,5,7,3,1,4,6]=>010001 [2,5,7,3,1,6,4]=>010011 [2,5,7,3,4,1,6]=>001001 [2,5,7,3,4,6,1]=>000011 [2,5,7,3,6,1,4]=>000011 [2,5,7,3,6,4,1]=>001011 [2,5,7,4,1,3,6]=>001001 [2,5,7,4,1,6,3]=>001011 [2,5,7,4,3,1,6]=>011001 [2,5,7,4,3,6,1]=>001011 [2,5,7,4,6,1,3]=>000011 [2,5,7,4,6,3,1]=>010011 [2,5,7,6,1,3,4]=>000011 [2,5,7,6,1,4,3]=>001011 [2,5,7,6,3,1,4]=>010011 [2,5,7,6,3,4,1]=>001011 [2,5,7,6,4,1,3]=>001011 [2,5,7,6,4,3,1]=>011011 [2,6,1,3,4,5,7]=>000010 [2,6,1,3,4,7,5]=>000011 [2,6,1,3,5,4,7]=>000110 [2,6,1,3,5,7,4]=>000011 [2,6,1,3,7,4,5]=>000011 [2,6,1,3,7,5,4]=>000111 [2,6,1,4,3,5,7]=>001010 [2,6,1,4,3,7,5]=>001011 [2,6,1,4,5,3,7]=>000110 [2,6,1,4,5,7,3]=>000011 [2,6,1,4,7,3,5]=>000011 [2,6,1,4,7,5,3]=>000111 [2,6,1,5,3,4,7]=>000110 [2,6,1,5,3,7,4]=>000111 [2,6,1,5,4,3,7]=>001110 [2,6,1,5,4,7,3]=>000111 [2,6,1,5,7,3,4]=>000011 [2,6,1,5,7,4,3]=>001011 [2,6,1,7,3,4,5]=>000011 [2,6,1,7,3,5,4]=>000111 [2,6,1,7,4,3,5]=>001011 [2,6,1,7,4,5,3]=>000111 [2,6,1,7,5,3,4]=>000111 [2,6,1,7,5,4,3]=>001111 [2,6,3,1,4,5,7]=>010010 [2,6,3,1,4,7,5]=>010011 [2,6,3,1,5,4,7]=>010110 [2,6,3,1,5,7,4]=>010011 [2,6,3,1,7,4,5]=>010011 [2,6,3,1,7,5,4]=>010111 [2,6,3,4,1,5,7]=>001010 [2,6,3,4,1,7,5]=>001011 [2,6,3,4,5,1,7]=>000110 [2,6,3,4,5,7,1]=>000011 [2,6,3,4,7,1,5]=>000011 [2,6,3,4,7,5,1]=>000111 [2,6,3,5,1,4,7]=>000110 [2,6,3,5,1,7,4]=>000111 [2,6,3,5,4,1,7]=>001110 [2,6,3,5,4,7,1]=>000111 [2,6,3,5,7,1,4]=>000011 [2,6,3,5,7,4,1]=>001011 [2,6,3,7,1,4,5]=>000011 [2,6,3,7,1,5,4]=>000111 [2,6,3,7,4,1,5]=>001011 [2,6,3,7,4,5,1]=>000111 [2,6,3,7,5,1,4]=>000111 [2,6,3,7,5,4,1]=>001111 [2,6,4,1,3,5,7]=>001010 [2,6,4,1,3,7,5]=>001011 [2,6,4,1,5,3,7]=>001110 [2,6,4,1,5,7,3]=>001011 [2,6,4,1,7,3,5]=>001011 [2,6,4,1,7,5,3]=>001111 [2,6,4,3,1,5,7]=>011010 [2,6,4,3,1,7,5]=>011011 [2,6,4,3,5,1,7]=>001110 [2,6,4,3,5,7,1]=>001011 [2,6,4,3,7,1,5]=>001011 [2,6,4,3,7,5,1]=>001111 [2,6,4,5,1,3,7]=>000110 [2,6,4,5,1,7,3]=>000111 [2,6,4,5,3,1,7]=>010110 [2,6,4,5,3,7,1]=>000111 [2,6,4,5,7,1,3]=>000011 [2,6,4,5,7,3,1]=>010011 [2,6,4,7,1,3,5]=>000011 [2,6,4,7,1,5,3]=>000111 [2,6,4,7,3,1,5]=>010011 [2,6,4,7,3,5,1]=>000111 [2,6,4,7,5,1,3]=>000111 [2,6,4,7,5,3,1]=>010111 [2,6,5,1,3,4,7]=>000110 [2,6,5,1,3,7,4]=>000111 [2,6,5,1,4,3,7]=>001110 [2,6,5,1,4,7,3]=>000111 [2,6,5,1,7,3,4]=>000111 [2,6,5,1,7,4,3]=>001111 [2,6,5,3,1,4,7]=>010110 [2,6,5,3,1,7,4]=>010111 [2,6,5,3,4,1,7]=>001110 [2,6,5,3,4,7,1]=>000111 [2,6,5,3,7,1,4]=>000111 [2,6,5,3,7,4,1]=>001111 [2,6,5,4,1,3,7]=>001110 [2,6,5,4,1,7,3]=>001111 [2,6,5,4,3,1,7]=>011110 [2,6,5,4,3,7,1]=>001111 [2,6,5,4,7,1,3]=>000111 [2,6,5,4,7,3,1]=>010111 [2,6,5,7,1,3,4]=>000011 [2,6,5,7,1,4,3]=>001011 [2,6,5,7,3,1,4]=>010011 [2,6,5,7,3,4,1]=>001011 [2,6,5,7,4,1,3]=>001011 [2,6,5,7,4,3,1]=>011011 [2,6,7,1,3,4,5]=>000001 [2,6,7,1,3,5,4]=>000101 [2,6,7,1,4,3,5]=>001001 [2,6,7,1,4,5,3]=>000101 [2,6,7,1,5,3,4]=>000101 [2,6,7,1,5,4,3]=>001101 [2,6,7,3,1,4,5]=>010001 [2,6,7,3,1,5,4]=>010101 [2,6,7,3,4,1,5]=>001001 [2,6,7,3,4,5,1]=>000101 [2,6,7,3,5,1,4]=>000101 [2,6,7,3,5,4,1]=>001101 [2,6,7,4,1,3,5]=>001001 [2,6,7,4,1,5,3]=>001101 [2,6,7,4,3,1,5]=>011001 [2,6,7,4,3,5,1]=>001101 [2,6,7,4,5,1,3]=>000101 [2,6,7,4,5,3,1]=>010101 [2,6,7,5,1,3,4]=>000101 [2,6,7,5,1,4,3]=>001101 [2,6,7,5,3,1,4]=>010101 [2,6,7,5,3,4,1]=>001101 [2,6,7,5,4,1,3]=>001101 [2,6,7,5,4,3,1]=>011101 [2,7,1,3,4,5,6]=>000001 [2,7,1,3,4,6,5]=>000011 [2,7,1,3,5,4,6]=>000101 [2,7,1,3,5,6,4]=>000011 [2,7,1,3,6,4,5]=>000011 [2,7,1,3,6,5,4]=>000111 [2,7,1,4,3,5,6]=>001001 [2,7,1,4,3,6,5]=>001011 [2,7,1,4,5,3,6]=>000101 [2,7,1,4,5,6,3]=>000011 [2,7,1,4,6,3,5]=>000011 [2,7,1,4,6,5,3]=>000111 [2,7,1,5,3,4,6]=>000101 [2,7,1,5,3,6,4]=>000111 [2,7,1,5,4,3,6]=>001101 [2,7,1,5,4,6,3]=>000111 [2,7,1,5,6,3,4]=>000011 [2,7,1,5,6,4,3]=>001011 [2,7,1,6,3,4,5]=>000011 [2,7,1,6,3,5,4]=>000111 [2,7,1,6,4,3,5]=>001011 [2,7,1,6,4,5,3]=>000111 [2,7,1,6,5,3,4]=>000111 [2,7,1,6,5,4,3]=>001111 [2,7,3,1,4,5,6]=>010001 [2,7,3,1,4,6,5]=>010011 [2,7,3,1,5,4,6]=>010101 [2,7,3,1,5,6,4]=>010011 [2,7,3,1,6,4,5]=>010011 [2,7,3,1,6,5,4]=>010111 [2,7,3,4,1,5,6]=>001001 [2,7,3,4,1,6,5]=>001011 [2,7,3,4,5,1,6]=>000101 [2,7,3,4,5,6,1]=>000011 [2,7,3,4,6,1,5]=>000011 [2,7,3,4,6,5,1]=>000111 [2,7,3,5,1,4,6]=>000101 [2,7,3,5,1,6,4]=>000111 [2,7,3,5,4,1,6]=>001101 [2,7,3,5,4,6,1]=>000111 [2,7,3,5,6,1,4]=>000011 [2,7,3,5,6,4,1]=>001011 [2,7,3,6,1,4,5]=>000011 [2,7,3,6,1,5,4]=>000111 [2,7,3,6,4,1,5]=>001011 [2,7,3,6,4,5,1]=>000111 [2,7,3,6,5,1,4]=>000111 [2,7,3,6,5,4,1]=>001111 [2,7,4,1,3,5,6]=>001001 [2,7,4,1,3,6,5]=>001011 [2,7,4,1,5,3,6]=>001101 [2,7,4,1,5,6,3]=>001011 [2,7,4,1,6,3,5]=>001011 [2,7,4,1,6,5,3]=>001111 [2,7,4,3,1,5,6]=>011001 [2,7,4,3,1,6,5]=>011011 [2,7,4,3,5,1,6]=>001101 [2,7,4,3,5,6,1]=>001011 [2,7,4,3,6,1,5]=>001011 [2,7,4,3,6,5,1]=>001111 [2,7,4,5,1,3,6]=>000101 [2,7,4,5,1,6,3]=>000111 [2,7,4,5,3,1,6]=>010101 [2,7,4,5,3,6,1]=>000111 [2,7,4,5,6,1,3]=>000011 [2,7,4,5,6,3,1]=>010011 [2,7,4,6,1,3,5]=>000011 [2,7,4,6,1,5,3]=>000111 [2,7,4,6,3,1,5]=>010011 [2,7,4,6,3,5,1]=>000111 [2,7,4,6,5,1,3]=>000111 [2,7,4,6,5,3,1]=>010111 [2,7,5,1,3,4,6]=>000101 [2,7,5,1,3,6,4]=>000111 [2,7,5,1,4,3,6]=>001101 [2,7,5,1,4,6,3]=>000111 [2,7,5,1,6,3,4]=>000111 [2,7,5,1,6,4,3]=>001111 [2,7,5,3,1,4,6]=>010101 [2,7,5,3,1,6,4]=>010111 [2,7,5,3,4,1,6]=>001101 [2,7,5,3,4,6,1]=>000111 [2,7,5,3,6,1,4]=>000111 [2,7,5,3,6,4,1]=>001111 [2,7,5,4,1,3,6]=>001101 [2,7,5,4,1,6,3]=>001111 [2,7,5,4,3,1,6]=>011101 [2,7,5,4,3,6,1]=>001111 [2,7,5,4,6,1,3]=>000111 [2,7,5,4,6,3,1]=>010111 [2,7,5,6,1,3,4]=>000011 [2,7,5,6,1,4,3]=>001011 [2,7,5,6,3,1,4]=>010011 [2,7,5,6,3,4,1]=>001011 [2,7,5,6,4,1,3]=>001011 [2,7,5,6,4,3,1]=>011011 [2,7,6,1,3,4,5]=>000011 [2,7,6,1,3,5,4]=>000111 [2,7,6,1,4,3,5]=>001011 [2,7,6,1,4,5,3]=>000111 [2,7,6,1,5,3,4]=>000111 [2,7,6,1,5,4,3]=>001111 [2,7,6,3,1,4,5]=>010011 [2,7,6,3,1,5,4]=>010111 [2,7,6,3,4,1,5]=>001011 [2,7,6,3,4,5,1]=>000111 [2,7,6,3,5,1,4]=>000111 [2,7,6,3,5,4,1]=>001111 [2,7,6,4,1,3,5]=>001011 [2,7,6,4,1,5,3]=>001111 [2,7,6,4,3,1,5]=>011011 [2,7,6,4,3,5,1]=>001111 [2,7,6,4,5,1,3]=>000111 [2,7,6,4,5,3,1]=>010111 [2,7,6,5,1,3,4]=>000111 [2,7,6,5,1,4,3]=>001111 [2,7,6,5,3,1,4]=>010111 [2,7,6,5,3,4,1]=>001111 [2,7,6,5,4,1,3]=>001111 [2,7,6,5,4,3,1]=>011111 [3,1,2,4,5,6,7]=>010000 [3,1,2,4,5,7,6]=>010001 [3,1,2,4,6,5,7]=>010010 [3,1,2,4,6,7,5]=>010001 [3,1,2,4,7,5,6]=>010001 [3,1,2,4,7,6,5]=>010011 [3,1,2,5,4,6,7]=>010100 [3,1,2,5,4,7,6]=>010101 [3,1,2,5,6,4,7]=>010010 [3,1,2,5,6,7,4]=>010001 [3,1,2,5,7,4,6]=>010001 [3,1,2,5,7,6,4]=>010011 [3,1,2,6,4,5,7]=>010010 [3,1,2,6,4,7,5]=>010011 [3,1,2,6,5,4,7]=>010110 [3,1,2,6,5,7,4]=>010011 [3,1,2,6,7,4,5]=>010001 [3,1,2,6,7,5,4]=>010101 [3,1,2,7,4,5,6]=>010001 [3,1,2,7,4,6,5]=>010011 [3,1,2,7,5,4,6]=>010101 [3,1,2,7,5,6,4]=>010011 [3,1,2,7,6,4,5]=>010011 [3,1,2,7,6,5,4]=>010111 [3,1,4,2,5,6,7]=>011000 [3,1,4,2,5,7,6]=>011001 [3,1,4,2,6,5,7]=>011010 [3,1,4,2,6,7,5]=>011001 [3,1,4,2,7,5,6]=>011001 [3,1,4,2,7,6,5]=>011011 [3,1,4,5,2,6,7]=>010100 [3,1,4,5,2,7,6]=>010101 [3,1,4,5,6,2,7]=>010010 [3,1,4,5,6,7,2]=>010001 [3,1,4,5,7,2,6]=>010001 [3,1,4,5,7,6,2]=>010011 [3,1,4,6,2,5,7]=>010010 [3,1,4,6,2,7,5]=>010011 [3,1,4,6,5,2,7]=>010110 [3,1,4,6,5,7,2]=>010011 [3,1,4,6,7,2,5]=>010001 [3,1,4,6,7,5,2]=>010101 [3,1,4,7,2,5,6]=>010001 [3,1,4,7,2,6,5]=>010011 [3,1,4,7,5,2,6]=>010101 [3,1,4,7,5,6,2]=>010011 [3,1,4,7,6,2,5]=>010011 [3,1,4,7,6,5,2]=>010111 [3,1,5,2,4,6,7]=>010100 [3,1,5,2,4,7,6]=>010101 [3,1,5,2,6,4,7]=>010110 [3,1,5,2,6,7,4]=>010101 [3,1,5,2,7,4,6]=>010101 [3,1,5,2,7,6,4]=>010111 [3,1,5,4,2,6,7]=>011100 [3,1,5,4,2,7,6]=>011101 [3,1,5,4,6,2,7]=>010110 [3,1,5,4,6,7,2]=>010101 [3,1,5,4,7,2,6]=>010101 [3,1,5,4,7,6,2]=>010111 [3,1,5,6,2,4,7]=>010010 [3,1,5,6,2,7,4]=>010011 [3,1,5,6,4,2,7]=>011010 [3,1,5,6,4,7,2]=>010011 [3,1,5,6,7,2,4]=>010001 [3,1,5,6,7,4,2]=>011001 [3,1,5,7,2,4,6]=>010001 [3,1,5,7,2,6,4]=>010011 [3,1,5,7,4,2,6]=>011001 [3,1,5,7,4,6,2]=>010011 [3,1,5,7,6,2,4]=>010011 [3,1,5,7,6,4,2]=>011011 [3,1,6,2,4,5,7]=>010010 [3,1,6,2,4,7,5]=>010011 [3,1,6,2,5,4,7]=>010110 [3,1,6,2,5,7,4]=>010011 [3,1,6,2,7,4,5]=>010011 [3,1,6,2,7,5,4]=>010111 [3,1,6,4,2,5,7]=>011010 [3,1,6,4,2,7,5]=>011011 [3,1,6,4,5,2,7]=>010110 [3,1,6,4,5,7,2]=>010011 [3,1,6,4,7,2,5]=>010011 [3,1,6,4,7,5,2]=>010111 [3,1,6,5,2,4,7]=>010110 [3,1,6,5,2,7,4]=>010111 [3,1,6,5,4,2,7]=>011110 [3,1,6,5,4,7,2]=>010111 [3,1,6,5,7,2,4]=>010011 [3,1,6,5,7,4,2]=>011011 [3,1,6,7,2,4,5]=>010001 [3,1,6,7,2,5,4]=>010101 [3,1,6,7,4,2,5]=>011001 [3,1,6,7,4,5,2]=>010101 [3,1,6,7,5,2,4]=>010101 [3,1,6,7,5,4,2]=>011101 [3,1,7,2,4,5,6]=>010001 [3,1,7,2,4,6,5]=>010011 [3,1,7,2,5,4,6]=>010101 [3,1,7,2,5,6,4]=>010011 [3,1,7,2,6,4,5]=>010011 [3,1,7,2,6,5,4]=>010111 [3,1,7,4,2,5,6]=>011001 [3,1,7,4,2,6,5]=>011011 [3,1,7,4,5,2,6]=>010101 [3,1,7,4,5,6,2]=>010011 [3,1,7,4,6,2,5]=>010011 [3,1,7,4,6,5,2]=>010111 [3,1,7,5,2,4,6]=>010101 [3,1,7,5,2,6,4]=>010111 [3,1,7,5,4,2,6]=>011101 [3,1,7,5,4,6,2]=>010111 [3,1,7,5,6,2,4]=>010011 [3,1,7,5,6,4,2]=>011011 [3,1,7,6,2,4,5]=>010011 [3,1,7,6,2,5,4]=>010111 [3,1,7,6,4,2,5]=>011011 [3,1,7,6,4,5,2]=>010111 [3,1,7,6,5,2,4]=>010111 [3,1,7,6,5,4,2]=>011111 [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]=>110001 [3,2,1,4,7,5,6]=>110001 [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]=>110010 [3,2,1,5,6,7,4]=>110001 [3,2,1,5,7,4,6]=>110001 [3,2,1,5,7,6,4]=>110011 [3,2,1,6,4,5,7]=>110010 [3,2,1,6,4,7,5]=>110011 [3,2,1,6,5,4,7]=>110110 [3,2,1,6,5,7,4]=>110011 [3,2,1,6,7,4,5]=>110001 [3,2,1,6,7,5,4]=>110101 [3,2,1,7,4,5,6]=>110001 [3,2,1,7,4,6,5]=>110011 [3,2,1,7,5,4,6]=>110101 [3,2,1,7,5,6,4]=>110011 [3,2,1,7,6,4,5]=>110011 [3,2,1,7,6,5,4]=>110111 [3,2,4,1,5,6,7]=>011000 [3,2,4,1,5,7,6]=>011001 [3,2,4,1,6,5,7]=>011010 [3,2,4,1,6,7,5]=>011001 [3,2,4,1,7,5,6]=>011001 [3,2,4,1,7,6,5]=>011011 [3,2,4,5,1,6,7]=>010100 [3,2,4,5,1,7,6]=>010101 [3,2,4,5,6,1,7]=>010010 [3,2,4,5,6,7,1]=>010001 [3,2,4,5,7,1,6]=>010001 [3,2,4,5,7,6,1]=>010011 [3,2,4,6,1,5,7]=>010010 [3,2,4,6,1,7,5]=>010011 [3,2,4,6,5,1,7]=>010110 [3,2,4,6,5,7,1]=>010011 [3,2,4,6,7,1,5]=>010001 [3,2,4,6,7,5,1]=>010101 [3,2,4,7,1,5,6]=>010001 [3,2,4,7,1,6,5]=>010011 [3,2,4,7,5,1,6]=>010101 [3,2,4,7,5,6,1]=>010011 [3,2,4,7,6,1,5]=>010011 [3,2,4,7,6,5,1]=>010111 [3,2,5,1,4,6,7]=>010100 [3,2,5,1,4,7,6]=>010101 [3,2,5,1,6,4,7]=>010110 [3,2,5,1,6,7,4]=>010101 [3,2,5,1,7,4,6]=>010101 [3,2,5,1,7,6,4]=>010111 [3,2,5,4,1,6,7]=>011100 [3,2,5,4,1,7,6]=>011101 [3,2,5,4,6,1,7]=>010110 [3,2,5,4,6,7,1]=>010101 [3,2,5,4,7,1,6]=>010101 [3,2,5,4,7,6,1]=>010111 [3,2,5,6,1,4,7]=>010010 [3,2,5,6,1,7,4]=>010011 [3,2,5,6,4,1,7]=>011010 [3,2,5,6,4,7,1]=>010011 [3,2,5,6,7,1,4]=>010001 [3,2,5,6,7,4,1]=>011001 [3,2,5,7,1,4,6]=>010001 [3,2,5,7,1,6,4]=>010011 [3,2,5,7,4,1,6]=>011001 [3,2,5,7,4,6,1]=>010011 [3,2,5,7,6,1,4]=>010011 [3,2,5,7,6,4,1]=>011011 [3,2,6,1,4,5,7]=>010010 [3,2,6,1,4,7,5]=>010011 [3,2,6,1,5,4,7]=>010110 [3,2,6,1,5,7,4]=>010011 [3,2,6,1,7,4,5]=>010011 [3,2,6,1,7,5,4]=>010111 [3,2,6,4,1,5,7]=>011010 [3,2,6,4,1,7,5]=>011011 [3,2,6,4,5,1,7]=>010110 [3,2,6,4,5,7,1]=>010011 [3,2,6,4,7,1,5]=>010011 [3,2,6,4,7,5,1]=>010111 [3,2,6,5,1,4,7]=>010110 [3,2,6,5,1,7,4]=>010111 [3,2,6,5,4,1,7]=>011110 [3,2,6,5,4,7,1]=>010111 [3,2,6,5,7,1,4]=>010011 [3,2,6,5,7,4,1]=>011011 [3,2,6,7,1,4,5]=>010001 [3,2,6,7,1,5,4]=>010101 [3,2,6,7,4,1,5]=>011001 [3,2,6,7,4,5,1]=>010101 [3,2,6,7,5,1,4]=>010101 [3,2,6,7,5,4,1]=>011101 [3,2,7,1,4,5,6]=>010001 [3,2,7,1,4,6,5]=>010011 [3,2,7,1,5,4,6]=>010101 [3,2,7,1,5,6,4]=>010011 [3,2,7,1,6,4,5]=>010011 [3,2,7,1,6,5,4]=>010111 [3,2,7,4,1,5,6]=>011001 [3,2,7,4,1,6,5]=>011011 [3,2,7,4,5,1,6]=>010101 [3,2,7,4,5,6,1]=>010011 [3,2,7,4,6,1,5]=>010011 [3,2,7,4,6,5,1]=>010111 [3,2,7,5,1,4,6]=>010101 [3,2,7,5,1,6,4]=>010111 [3,2,7,5,4,1,6]=>011101 [3,2,7,5,4,6,1]=>010111 [3,2,7,5,6,1,4]=>010011 [3,2,7,5,6,4,1]=>011011 [3,2,7,6,1,4,5]=>010011 [3,2,7,6,1,5,4]=>010111 [3,2,7,6,4,1,5]=>011011 [3,2,7,6,4,5,1]=>010111 [3,2,7,6,5,1,4]=>010111 [3,2,7,6,5,4,1]=>011111 [3,4,1,2,5,6,7]=>001000 [3,4,1,2,5,7,6]=>001001 [3,4,1,2,6,5,7]=>001010 [3,4,1,2,6,7,5]=>001001 [3,4,1,2,7,5,6]=>001001 [3,4,1,2,7,6,5]=>001011 [3,4,1,5,2,6,7]=>001100 [3,4,1,5,2,7,6]=>001101 [3,4,1,5,6,2,7]=>001010 [3,4,1,5,6,7,2]=>001001 [3,4,1,5,7,2,6]=>001001 [3,4,1,5,7,6,2]=>001011 [3,4,1,6,2,5,7]=>001010 [3,4,1,6,2,7,5]=>001011 [3,4,1,6,5,2,7]=>001110 [3,4,1,6,5,7,2]=>001011 [3,4,1,6,7,2,5]=>001001 [3,4,1,6,7,5,2]=>001101 [3,4,1,7,2,5,6]=>001001 [3,4,1,7,2,6,5]=>001011 [3,4,1,7,5,2,6]=>001101 [3,4,1,7,5,6,2]=>001011 [3,4,1,7,6,2,5]=>001011 [3,4,1,7,6,5,2]=>001111 [3,4,2,1,5,6,7]=>101000 [3,4,2,1,5,7,6]=>101001 [3,4,2,1,6,5,7]=>101010 [3,4,2,1,6,7,5]=>101001 [3,4,2,1,7,5,6]=>101001 [3,4,2,1,7,6,5]=>101011 [3,4,2,5,1,6,7]=>001100 [3,4,2,5,1,7,6]=>001101 [3,4,2,5,6,1,7]=>001010 [3,4,2,5,6,7,1]=>001001 [3,4,2,5,7,1,6]=>001001 [3,4,2,5,7,6,1]=>001011 [3,4,2,6,1,5,7]=>001010 [3,4,2,6,1,7,5]=>001011 [3,4,2,6,5,1,7]=>001110 [3,4,2,6,5,7,1]=>001011 [3,4,2,6,7,1,5]=>001001 [3,4,2,6,7,5,1]=>001101 [3,4,2,7,1,5,6]=>001001 [3,4,2,7,1,6,5]=>001011 [3,4,2,7,5,1,6]=>001101 [3,4,2,7,5,6,1]=>001011 [3,4,2,7,6,1,5]=>001011 [3,4,2,7,6,5,1]=>001111 [3,4,5,1,2,6,7]=>000100 [3,4,5,1,2,7,6]=>000101 [3,4,5,1,6,2,7]=>000110 [3,4,5,1,6,7,2]=>000101 [3,4,5,1,7,2,6]=>000101 [3,4,5,1,7,6,2]=>000111 [3,4,5,2,1,6,7]=>100100 [3,4,5,2,1,7,6]=>100101 [3,4,5,2,6,1,7]=>000110 [3,4,5,2,6,7,1]=>000101 [3,4,5,2,7,1,6]=>000101 [3,4,5,2,7,6,1]=>000111 [3,4,5,6,1,2,7]=>000010 [3,4,5,6,1,7,2]=>000011 [3,4,5,6,2,1,7]=>100010 [3,4,5,6,2,7,1]=>000011 [3,4,5,6,7,1,2]=>000001 [3,4,5,6,7,2,1]=>100001 [3,4,5,7,1,2,6]=>000001 [3,4,5,7,1,6,2]=>000011 [3,4,5,7,2,1,6]=>100001 [3,4,5,7,2,6,1]=>000011 [3,4,5,7,6,1,2]=>000011 [3,4,5,7,6,2,1]=>100011 [3,4,6,1,2,5,7]=>000010 [3,4,6,1,2,7,5]=>000011 [3,4,6,1,5,2,7]=>000110 [3,4,6,1,5,7,2]=>000011 [3,4,6,1,7,2,5]=>000011 [3,4,6,1,7,5,2]=>000111 [3,4,6,2,1,5,7]=>100010 [3,4,6,2,1,7,5]=>100011 [3,4,6,2,5,1,7]=>000110 [3,4,6,2,5,7,1]=>000011 [3,4,6,2,7,1,5]=>000011 [3,4,6,2,7,5,1]=>000111 [3,4,6,5,1,2,7]=>000110 [3,4,6,5,1,7,2]=>000111 [3,4,6,5,2,1,7]=>100110 [3,4,6,5,2,7,1]=>000111 [3,4,6,5,7,1,2]=>000011 [3,4,6,5,7,2,1]=>100011 [3,4,6,7,1,2,5]=>000001 [3,4,6,7,1,5,2]=>000101 [3,4,6,7,2,1,5]=>100001 [3,4,6,7,2,5,1]=>000101 [3,4,6,7,5,1,2]=>000101 [3,4,6,7,5,2,1]=>100101 [3,4,7,1,2,5,6]=>000001 [3,4,7,1,2,6,5]=>000011 [3,4,7,1,5,2,6]=>000101 [3,4,7,1,5,6,2]=>000011 [3,4,7,1,6,2,5]=>000011 [3,4,7,1,6,5,2]=>000111 [3,4,7,2,1,5,6]=>100001 [3,4,7,2,1,6,5]=>100011 [3,4,7,2,5,1,6]=>000101 [3,4,7,2,5,6,1]=>000011 [3,4,7,2,6,1,5]=>000011 [3,4,7,2,6,5,1]=>000111 [3,4,7,5,1,2,6]=>000101 [3,4,7,5,1,6,2]=>000111 [3,4,7,5,2,1,6]=>100101 [3,4,7,5,2,6,1]=>000111 [3,4,7,5,6,1,2]=>000011 [3,4,7,5,6,2,1]=>100011 [3,4,7,6,1,2,5]=>000011 [3,4,7,6,1,5,2]=>000111 [3,4,7,6,2,1,5]=>100011 [3,4,7,6,2,5,1]=>000111 [3,4,7,6,5,1,2]=>000111 [3,4,7,6,5,2,1]=>100111 [3,5,1,2,4,6,7]=>000100 [3,5,1,2,4,7,6]=>000101 [3,5,1,2,6,4,7]=>000110 [3,5,1,2,6,7,4]=>000101 [3,5,1,2,7,4,6]=>000101 [3,5,1,2,7,6,4]=>000111 [3,5,1,4,2,6,7]=>001100 [3,5,1,4,2,7,6]=>001101 [3,5,1,4,6,2,7]=>000110 [3,5,1,4,6,7,2]=>000101 [3,5,1,4,7,2,6]=>000101 [3,5,1,4,7,6,2]=>000111 [3,5,1,6,2,4,7]=>000110 [3,5,1,6,2,7,4]=>000111 [3,5,1,6,4,2,7]=>001110 [3,5,1,6,4,7,2]=>000111 [3,5,1,6,7,2,4]=>000101 [3,5,1,6,7,4,2]=>001101 [3,5,1,7,2,4,6]=>000101 [3,5,1,7,2,6,4]=>000111 [3,5,1,7,4,2,6]=>001101 [3,5,1,7,4,6,2]=>000111 [3,5,1,7,6,2,4]=>000111 [3,5,1,7,6,4,2]=>001111 [3,5,2,1,4,6,7]=>100100 [3,5,2,1,4,7,6]=>100101 [3,5,2,1,6,4,7]=>100110 [3,5,2,1,6,7,4]=>100101 [3,5,2,1,7,4,6]=>100101 [3,5,2,1,7,6,4]=>100111 [3,5,2,4,1,6,7]=>001100 [3,5,2,4,1,7,6]=>001101 [3,5,2,4,6,1,7]=>000110 [3,5,2,4,6,7,1]=>000101 [3,5,2,4,7,1,6]=>000101 [3,5,2,4,7,6,1]=>000111 [3,5,2,6,1,4,7]=>000110 [3,5,2,6,1,7,4]=>000111 [3,5,2,6,4,1,7]=>001110 [3,5,2,6,4,7,1]=>000111 [3,5,2,6,7,1,4]=>000101 [3,5,2,6,7,4,1]=>001101 [3,5,2,7,1,4,6]=>000101 [3,5,2,7,1,6,4]=>000111 [3,5,2,7,4,1,6]=>001101 [3,5,2,7,4,6,1]=>000111 [3,5,2,7,6,1,4]=>000111 [3,5,2,7,6,4,1]=>001111 [3,5,4,1,2,6,7]=>001100 [3,5,4,1,2,7,6]=>001101 [3,5,4,1,6,2,7]=>001110 [3,5,4,1,6,7,2]=>001101 [3,5,4,1,7,2,6]=>001101 [3,5,4,1,7,6,2]=>001111 [3,5,4,2,1,6,7]=>101100 [3,5,4,2,1,7,6]=>101101 [3,5,4,2,6,1,7]=>001110 [3,5,4,2,6,7,1]=>001101 [3,5,4,2,7,1,6]=>001101 [3,5,4,2,7,6,1]=>001111 [3,5,4,6,1,2,7]=>000110 [3,5,4,6,1,7,2]=>000111 [3,5,4,6,2,1,7]=>100110 [3,5,4,6,2,7,1]=>000111 [3,5,4,6,7,1,2]=>000101 [3,5,4,6,7,2,1]=>100101 [3,5,4,7,1,2,6]=>000101 [3,5,4,7,1,6,2]=>000111 [3,5,4,7,2,1,6]=>100101 [3,5,4,7,2,6,1]=>000111 [3,5,4,7,6,1,2]=>000111 [3,5,4,7,6,2,1]=>100111 [3,5,6,1,2,4,7]=>000010 [3,5,6,1,2,7,4]=>000011 [3,5,6,1,4,2,7]=>001010 [3,5,6,1,4,7,2]=>000011 [3,5,6,1,7,2,4]=>000011 [3,5,6,1,7,4,2]=>001011 [3,5,6,2,1,4,7]=>100010 [3,5,6,2,1,7,4]=>100011 [3,5,6,2,4,1,7]=>001010 [3,5,6,2,4,7,1]=>000011 [3,5,6,2,7,1,4]=>000011 [3,5,6,2,7,4,1]=>001011 [3,5,6,4,1,2,7]=>001010 [3,5,6,4,1,7,2]=>001011 [3,5,6,4,2,1,7]=>101010 [3,5,6,4,2,7,1]=>001011 [3,5,6,4,7,1,2]=>000011 [3,5,6,4,7,2,1]=>100011 [3,5,6,7,1,2,4]=>000001 [3,5,6,7,1,4,2]=>001001 [3,5,6,7,2,1,4]=>100001 [3,5,6,7,2,4,1]=>001001 [3,5,6,7,4,1,2]=>001001 [3,5,6,7,4,2,1]=>101001 [3,5,7,1,2,4,6]=>000001 [3,5,7,1,2,6,4]=>000011 [3,5,7,1,4,2,6]=>001001 [3,5,7,1,4,6,2]=>000011 [3,5,7,1,6,2,4]=>000011 [3,5,7,1,6,4,2]=>001011 [3,5,7,2,1,4,6]=>100001 [3,5,7,2,1,6,4]=>100011 [3,5,7,2,4,1,6]=>001001 [3,5,7,2,4,6,1]=>000011 [3,5,7,2,6,1,4]=>000011 [3,5,7,2,6,4,1]=>001011 [3,5,7,4,1,2,6]=>001001 [3,5,7,4,1,6,2]=>001011 [3,5,7,4,2,1,6]=>101001 [3,5,7,4,2,6,1]=>001011 [3,5,7,4,6,1,2]=>000011 [3,5,7,4,6,2,1]=>100011 [3,5,7,6,1,2,4]=>000011 [3,5,7,6,1,4,2]=>001011 [3,5,7,6,2,1,4]=>100011 [3,5,7,6,2,4,1]=>001011 [3,5,7,6,4,1,2]=>001011 [3,5,7,6,4,2,1]=>101011 [3,6,1,2,4,5,7]=>000010 [3,6,1,2,4,7,5]=>000011 [3,6,1,2,5,4,7]=>000110 [3,6,1,2,5,7,4]=>000011 [3,6,1,2,7,4,5]=>000011 [3,6,1,2,7,5,4]=>000111 [3,6,1,4,2,5,7]=>001010 [3,6,1,4,2,7,5]=>001011 [3,6,1,4,5,2,7]=>000110 [3,6,1,4,5,7,2]=>000011 [3,6,1,4,7,2,5]=>000011 [3,6,1,4,7,5,2]=>000111 [3,6,1,5,2,4,7]=>000110 [3,6,1,5,2,7,4]=>000111 [3,6,1,5,4,2,7]=>001110 [3,6,1,5,4,7,2]=>000111 [3,6,1,5,7,2,4]=>000011 [3,6,1,5,7,4,2]=>001011 [3,6,1,7,2,4,5]=>000011 [3,6,1,7,2,5,4]=>000111 [3,6,1,7,4,2,5]=>001011 [3,6,1,7,4,5,2]=>000111 [3,6,1,7,5,2,4]=>000111 [3,6,1,7,5,4,2]=>001111 [3,6,2,1,4,5,7]=>100010 [3,6,2,1,4,7,5]=>100011 [3,6,2,1,5,4,7]=>100110 [3,6,2,1,5,7,4]=>100011 [3,6,2,1,7,4,5]=>100011 [3,6,2,1,7,5,4]=>100111 [3,6,2,4,1,5,7]=>001010 [3,6,2,4,1,7,5]=>001011 [3,6,2,4,5,1,7]=>000110 [3,6,2,4,5,7,1]=>000011 [3,6,2,4,7,1,5]=>000011 [3,6,2,4,7,5,1]=>000111 [3,6,2,5,1,4,7]=>000110 [3,6,2,5,1,7,4]=>000111 [3,6,2,5,4,1,7]=>001110 [3,6,2,5,4,7,1]=>000111 [3,6,2,5,7,1,4]=>000011 [3,6,2,5,7,4,1]=>001011 [3,6,2,7,1,4,5]=>000011 [3,6,2,7,1,5,4]=>000111 [3,6,2,7,4,1,5]=>001011 [3,6,2,7,4,5,1]=>000111 [3,6,2,7,5,1,4]=>000111 [3,6,2,7,5,4,1]=>001111 [3,6,4,1,2,5,7]=>001010 [3,6,4,1,2,7,5]=>001011 [3,6,4,1,5,2,7]=>001110 [3,6,4,1,5,7,2]=>001011 [3,6,4,1,7,2,5]=>001011 [3,6,4,1,7,5,2]=>001111 [3,6,4,2,1,5,7]=>101010 [3,6,4,2,1,7,5]=>101011 [3,6,4,2,5,1,7]=>001110 [3,6,4,2,5,7,1]=>001011 [3,6,4,2,7,1,5]=>001011 [3,6,4,2,7,5,1]=>001111 [3,6,4,5,1,2,7]=>000110 [3,6,4,5,1,7,2]=>000111 [3,6,4,5,2,1,7]=>100110 [3,6,4,5,2,7,1]=>000111 [3,6,4,5,7,1,2]=>000011 [3,6,4,5,7,2,1]=>100011 [3,6,4,7,1,2,5]=>000011 [3,6,4,7,1,5,2]=>000111 [3,6,4,7,2,1,5]=>100011 [3,6,4,7,2,5,1]=>000111 [3,6,4,7,5,1,2]=>000111 [3,6,4,7,5,2,1]=>100111 [3,6,5,1,2,4,7]=>000110 [3,6,5,1,2,7,4]=>000111 [3,6,5,1,4,2,7]=>001110 [3,6,5,1,4,7,2]=>000111 [3,6,5,1,7,2,4]=>000111 [3,6,5,1,7,4,2]=>001111 [3,6,5,2,1,4,7]=>100110 [3,6,5,2,1,7,4]=>100111 [3,6,5,2,4,1,7]=>001110 [3,6,5,2,4,7,1]=>000111 [3,6,5,2,7,1,4]=>000111 [3,6,5,2,7,4,1]=>001111 [3,6,5,4,1,2,7]=>001110 [3,6,5,4,1,7,2]=>001111 [3,6,5,4,2,1,7]=>101110 [3,6,5,4,2,7,1]=>001111 [3,6,5,4,7,1,2]=>000111 [3,6,5,4,7,2,1]=>100111 [3,6,5,7,1,2,4]=>000011 [3,6,5,7,1,4,2]=>001011 [3,6,5,7,2,1,4]=>100011 [3,6,5,7,2,4,1]=>001011 [3,6,5,7,4,1,2]=>001011 [3,6,5,7,4,2,1]=>101011 [3,6,7,1,2,4,5]=>000001 [3,6,7,1,2,5,4]=>000101 [3,6,7,1,4,2,5]=>001001 [3,6,7,1,4,5,2]=>000101 [3,6,7,1,5,2,4]=>000101 [3,6,7,1,5,4,2]=>001101 [3,6,7,2,1,4,5]=>100001 [3,6,7,2,1,5,4]=>100101 [3,6,7,2,4,1,5]=>001001 [3,6,7,2,4,5,1]=>000101 [3,6,7,2,5,1,4]=>000101 [3,6,7,2,5,4,1]=>001101 [3,6,7,4,1,2,5]=>001001 [3,6,7,4,1,5,2]=>001101 [3,6,7,4,2,1,5]=>101001 [3,6,7,4,2,5,1]=>001101 [3,6,7,4,5,1,2]=>000101 [3,6,7,4,5,2,1]=>100101 [3,6,7,5,1,2,4]=>000101 [3,6,7,5,1,4,2]=>001101 [3,6,7,5,2,1,4]=>100101 [3,6,7,5,2,4,1]=>001101 [3,6,7,5,4,1,2]=>001101 [3,6,7,5,4,2,1]=>101101 [3,7,1,2,4,5,6]=>000001 [3,7,1,2,4,6,5]=>000011 [3,7,1,2,5,4,6]=>000101 [3,7,1,2,5,6,4]=>000011 [3,7,1,2,6,4,5]=>000011 [3,7,1,2,6,5,4]=>000111 [3,7,1,4,2,5,6]=>001001 [3,7,1,4,2,6,5]=>001011 [3,7,1,4,5,2,6]=>000101 [3,7,1,4,5,6,2]=>000011 [3,7,1,4,6,2,5]=>000011 [3,7,1,4,6,5,2]=>000111 [3,7,1,5,2,4,6]=>000101 [3,7,1,5,2,6,4]=>000111 [3,7,1,5,4,2,6]=>001101 [3,7,1,5,4,6,2]=>000111 [3,7,1,5,6,2,4]=>000011 [3,7,1,5,6,4,2]=>001011 [3,7,1,6,2,4,5]=>000011 [3,7,1,6,2,5,4]=>000111 [3,7,1,6,4,2,5]=>001011 [3,7,1,6,4,5,2]=>000111 [3,7,1,6,5,2,4]=>000111 [3,7,1,6,5,4,2]=>001111 [3,7,2,1,4,5,6]=>100001 [3,7,2,1,4,6,5]=>100011 [3,7,2,1,5,4,6]=>100101 [3,7,2,1,5,6,4]=>100011 [3,7,2,1,6,4,5]=>100011 [3,7,2,1,6,5,4]=>100111 [3,7,2,4,1,5,6]=>001001 [3,7,2,4,1,6,5]=>001011 [3,7,2,4,5,1,6]=>000101 [3,7,2,4,5,6,1]=>000011 [3,7,2,4,6,1,5]=>000011 [3,7,2,4,6,5,1]=>000111 [3,7,2,5,1,4,6]=>000101 [3,7,2,5,1,6,4]=>000111 [3,7,2,5,4,1,6]=>001101 [3,7,2,5,4,6,1]=>000111 [3,7,2,5,6,1,4]=>000011 [3,7,2,5,6,4,1]=>001011 [3,7,2,6,1,4,5]=>000011 [3,7,2,6,1,5,4]=>000111 [3,7,2,6,4,1,5]=>001011 [3,7,2,6,4,5,1]=>000111 [3,7,2,6,5,1,4]=>000111 [3,7,2,6,5,4,1]=>001111 [3,7,4,1,2,5,6]=>001001 [3,7,4,1,2,6,5]=>001011 [3,7,4,1,5,2,6]=>001101 [3,7,4,1,5,6,2]=>001011 [3,7,4,1,6,2,5]=>001011 [3,7,4,1,6,5,2]=>001111 [3,7,4,2,1,5,6]=>101001 [3,7,4,2,1,6,5]=>101011 [3,7,4,2,5,1,6]=>001101 [3,7,4,2,5,6,1]=>001011 [3,7,4,2,6,1,5]=>001011 [3,7,4,2,6,5,1]=>001111 [3,7,4,5,1,2,6]=>000101 [3,7,4,5,1,6,2]=>000111 [3,7,4,5,2,1,6]=>100101 [3,7,4,5,2,6,1]=>000111 [3,7,4,5,6,1,2]=>000011 [3,7,4,5,6,2,1]=>100011 [3,7,4,6,1,2,5]=>000011 [3,7,4,6,1,5,2]=>000111 [3,7,4,6,2,1,5]=>100011 [3,7,4,6,2,5,1]=>000111 [3,7,4,6,5,1,2]=>000111 [3,7,4,6,5,2,1]=>100111 [3,7,5,1,2,4,6]=>000101 [3,7,5,1,2,6,4]=>000111 [3,7,5,1,4,2,6]=>001101 [3,7,5,1,4,6,2]=>000111 [3,7,5,1,6,2,4]=>000111 [3,7,5,1,6,4,2]=>001111 [3,7,5,2,1,4,6]=>100101 [3,7,5,2,1,6,4]=>100111 [3,7,5,2,4,1,6]=>001101 [3,7,5,2,4,6,1]=>000111 [3,7,5,2,6,1,4]=>000111 [3,7,5,2,6,4,1]=>001111 [3,7,5,4,1,2,6]=>001101 [3,7,5,4,1,6,2]=>001111 [3,7,5,4,2,1,6]=>101101 [3,7,5,4,2,6,1]=>001111 [3,7,5,4,6,1,2]=>000111 [3,7,5,4,6,2,1]=>100111 [3,7,5,6,1,2,4]=>000011 [3,7,5,6,1,4,2]=>001011 [3,7,5,6,2,1,4]=>100011 [3,7,5,6,2,4,1]=>001011 [3,7,5,6,4,1,2]=>001011 [3,7,5,6,4,2,1]=>101011 [3,7,6,1,2,4,5]=>000011 [3,7,6,1,2,5,4]=>000111 [3,7,6,1,4,2,5]=>001011 [3,7,6,1,4,5,2]=>000111 [3,7,6,1,5,2,4]=>000111 [3,7,6,1,5,4,2]=>001111 [3,7,6,2,1,4,5]=>100011 [3,7,6,2,1,5,4]=>100111 [3,7,6,2,4,1,5]=>001011 [3,7,6,2,4,5,1]=>000111 [3,7,6,2,5,1,4]=>000111 [3,7,6,2,5,4,1]=>001111 [3,7,6,4,1,2,5]=>001011 [3,7,6,4,1,5,2]=>001111 [3,7,6,4,2,1,5]=>101011 [3,7,6,4,2,5,1]=>001111 [3,7,6,4,5,1,2]=>000111 [3,7,6,4,5,2,1]=>100111 [3,7,6,5,1,2,4]=>000111 [3,7,6,5,1,4,2]=>001111 [3,7,6,5,2,1,4]=>100111 [3,7,6,5,2,4,1]=>001111 [3,7,6,5,4,1,2]=>001111 [3,7,6,5,4,2,1]=>101111 [4,1,2,3,5,6,7]=>001000 [4,1,2,3,5,7,6]=>001001 [4,1,2,3,6,5,7]=>001010 [4,1,2,3,6,7,5]=>001001 [4,1,2,3,7,5,6]=>001001 [4,1,2,3,7,6,5]=>001011 [4,1,2,5,3,6,7]=>001100 [4,1,2,5,3,7,6]=>001101 [4,1,2,5,6,3,7]=>001010 [4,1,2,5,6,7,3]=>001001 [4,1,2,5,7,3,6]=>001001 [4,1,2,5,7,6,3]=>001011 [4,1,2,6,3,5,7]=>001010 [4,1,2,6,3,7,5]=>001011 [4,1,2,6,5,3,7]=>001110 [4,1,2,6,5,7,3]=>001011 [4,1,2,6,7,3,5]=>001001 [4,1,2,6,7,5,3]=>001101 [4,1,2,7,3,5,6]=>001001 [4,1,2,7,3,6,5]=>001011 [4,1,2,7,5,3,6]=>001101 [4,1,2,7,5,6,3]=>001011 [4,1,2,7,6,3,5]=>001011 [4,1,2,7,6,5,3]=>001111 [4,1,3,2,5,6,7]=>011000 [4,1,3,2,5,7,6]=>011001 [4,1,3,2,6,5,7]=>011010 [4,1,3,2,6,7,5]=>011001 [4,1,3,2,7,5,6]=>011001 [4,1,3,2,7,6,5]=>011011 [4,1,3,5,2,6,7]=>001100 [4,1,3,5,2,7,6]=>001101 [4,1,3,5,6,2,7]=>001010 [4,1,3,5,6,7,2]=>001001 [4,1,3,5,7,2,6]=>001001 [4,1,3,5,7,6,2]=>001011 [4,1,3,6,2,5,7]=>001010 [4,1,3,6,2,7,5]=>001011 [4,1,3,6,5,2,7]=>001110 [4,1,3,6,5,7,2]=>001011 [4,1,3,6,7,2,5]=>001001 [4,1,3,6,7,5,2]=>001101 [4,1,3,7,2,5,6]=>001001 [4,1,3,7,2,6,5]=>001011 [4,1,3,7,5,2,6]=>001101 [4,1,3,7,5,6,2]=>001011 [4,1,3,7,6,2,5]=>001011 [4,1,3,7,6,5,2]=>001111 [4,1,5,2,3,6,7]=>001100 [4,1,5,2,3,7,6]=>001101 [4,1,5,2,6,3,7]=>001110 [4,1,5,2,6,7,3]=>001101 [4,1,5,2,7,3,6]=>001101 [4,1,5,2,7,6,3]=>001111 [4,1,5,3,2,6,7]=>011100 [4,1,5,3,2,7,6]=>011101 [4,1,5,3,6,2,7]=>001110 [4,1,5,3,6,7,2]=>001101 [4,1,5,3,7,2,6]=>001101 [4,1,5,3,7,6,2]=>001111 [4,1,5,6,2,3,7]=>001010 [4,1,5,6,2,7,3]=>001011 [4,1,5,6,3,2,7]=>011010 [4,1,5,6,3,7,2]=>001011 [4,1,5,6,7,2,3]=>001001 [4,1,5,6,7,3,2]=>011001 [4,1,5,7,2,3,6]=>001001 [4,1,5,7,2,6,3]=>001011 [4,1,5,7,3,2,6]=>011001 [4,1,5,7,3,6,2]=>001011 [4,1,5,7,6,2,3]=>001011 [4,1,5,7,6,3,2]=>011011 [4,1,6,2,3,5,7]=>001010 [4,1,6,2,3,7,5]=>001011 [4,1,6,2,5,3,7]=>001110 [4,1,6,2,5,7,3]=>001011 [4,1,6,2,7,3,5]=>001011 [4,1,6,2,7,5,3]=>001111 [4,1,6,3,2,5,7]=>011010 [4,1,6,3,2,7,5]=>011011 [4,1,6,3,5,2,7]=>001110 [4,1,6,3,5,7,2]=>001011 [4,1,6,3,7,2,5]=>001011 [4,1,6,3,7,5,2]=>001111 [4,1,6,5,2,3,7]=>001110 [4,1,6,5,2,7,3]=>001111 [4,1,6,5,3,2,7]=>011110 [4,1,6,5,3,7,2]=>001111 [4,1,6,5,7,2,3]=>001011 [4,1,6,5,7,3,2]=>011011 [4,1,6,7,2,3,5]=>001001 [4,1,6,7,2,5,3]=>001101 [4,1,6,7,3,2,5]=>011001 [4,1,6,7,3,5,2]=>001101 [4,1,6,7,5,2,3]=>001101 [4,1,6,7,5,3,2]=>011101 [4,1,7,2,3,5,6]=>001001 [4,1,7,2,3,6,5]=>001011 [4,1,7,2,5,3,6]=>001101 [4,1,7,2,5,6,3]=>001011 [4,1,7,2,6,3,5]=>001011 [4,1,7,2,6,5,3]=>001111 [4,1,7,3,2,5,6]=>011001 [4,1,7,3,2,6,5]=>011011 [4,1,7,3,5,2,6]=>001101 [4,1,7,3,5,6,2]=>001011 [4,1,7,3,6,2,5]=>001011 [4,1,7,3,6,5,2]=>001111 [4,1,7,5,2,3,6]=>001101 [4,1,7,5,2,6,3]=>001111 [4,1,7,5,3,2,6]=>011101 [4,1,7,5,3,6,2]=>001111 [4,1,7,5,6,2,3]=>001011 [4,1,7,5,6,3,2]=>011011 [4,1,7,6,2,3,5]=>001011 [4,1,7,6,2,5,3]=>001111 [4,1,7,6,3,2,5]=>011011 [4,1,7,6,3,5,2]=>001111 [4,1,7,6,5,2,3]=>001111 [4,1,7,6,5,3,2]=>011111 [4,2,1,3,5,6,7]=>101000 [4,2,1,3,5,7,6]=>101001 [4,2,1,3,6,5,7]=>101010 [4,2,1,3,6,7,5]=>101001 [4,2,1,3,7,5,6]=>101001 [4,2,1,3,7,6,5]=>101011 [4,2,1,5,3,6,7]=>101100 [4,2,1,5,3,7,6]=>101101 [4,2,1,5,6,3,7]=>101010 [4,2,1,5,6,7,3]=>101001 [4,2,1,5,7,3,6]=>101001 [4,2,1,5,7,6,3]=>101011 [4,2,1,6,3,5,7]=>101010 [4,2,1,6,3,7,5]=>101011 [4,2,1,6,5,3,7]=>101110 [4,2,1,6,5,7,3]=>101011 [4,2,1,6,7,3,5]=>101001 [4,2,1,6,7,5,3]=>101101 [4,2,1,7,3,5,6]=>101001 [4,2,1,7,3,6,5]=>101011 [4,2,1,7,5,3,6]=>101101 [4,2,1,7,5,6,3]=>101011 [4,2,1,7,6,3,5]=>101011 [4,2,1,7,6,5,3]=>101111 [4,2,3,1,5,6,7]=>011000 [4,2,3,1,5,7,6]=>011001 [4,2,3,1,6,5,7]=>011010 [4,2,3,1,6,7,5]=>011001 [4,2,3,1,7,5,6]=>011001 [4,2,3,1,7,6,5]=>011011 [4,2,3,5,1,6,7]=>001100 [4,2,3,5,1,7,6]=>001101 [4,2,3,5,6,1,7]=>001010 [4,2,3,5,6,7,1]=>001001 [4,2,3,5,7,1,6]=>001001 [4,2,3,5,7,6,1]=>001011 [4,2,3,6,1,5,7]=>001010 [4,2,3,6,1,7,5]=>001011 [4,2,3,6,5,1,7]=>001110 [4,2,3,6,5,7,1]=>001011 [4,2,3,6,7,1,5]=>001001 [4,2,3,6,7,5,1]=>001101 [4,2,3,7,1,5,6]=>001001 [4,2,3,7,1,6,5]=>001011 [4,2,3,7,5,1,6]=>001101 [4,2,3,7,5,6,1]=>001011 [4,2,3,7,6,1,5]=>001011 [4,2,3,7,6,5,1]=>001111 [4,2,5,1,3,6,7]=>001100 [4,2,5,1,3,7,6]=>001101 [4,2,5,1,6,3,7]=>001110 [4,2,5,1,6,7,3]=>001101 [4,2,5,1,7,3,6]=>001101 [4,2,5,1,7,6,3]=>001111 [4,2,5,3,1,6,7]=>011100 [4,2,5,3,1,7,6]=>011101 [4,2,5,3,6,1,7]=>001110 [4,2,5,3,6,7,1]=>001101 [4,2,5,3,7,1,6]=>001101 [4,2,5,3,7,6,1]=>001111 [4,2,5,6,1,3,7]=>001010 [4,2,5,6,1,7,3]=>001011 [4,2,5,6,3,1,7]=>011010 [4,2,5,6,3,7,1]=>001011 [4,2,5,6,7,1,3]=>001001 [4,2,5,6,7,3,1]=>011001 [4,2,5,7,1,3,6]=>001001 [4,2,5,7,1,6,3]=>001011 [4,2,5,7,3,1,6]=>011001 [4,2,5,7,3,6,1]=>001011 [4,2,5,7,6,1,3]=>001011 [4,2,5,7,6,3,1]=>011011 [4,2,6,1,3,5,7]=>001010 [4,2,6,1,3,7,5]=>001011 [4,2,6,1,5,3,7]=>001110 [4,2,6,1,5,7,3]=>001011 [4,2,6,1,7,3,5]=>001011 [4,2,6,1,7,5,3]=>001111 [4,2,6,3,1,5,7]=>011010 [4,2,6,3,1,7,5]=>011011 [4,2,6,3,5,1,7]=>001110 [4,2,6,3,5,7,1]=>001011 [4,2,6,3,7,1,5]=>001011 [4,2,6,3,7,5,1]=>001111 [4,2,6,5,1,3,7]=>001110 [4,2,6,5,1,7,3]=>001111 [4,2,6,5,3,1,7]=>011110 [4,2,6,5,3,7,1]=>001111 [4,2,6,5,7,1,3]=>001011 [4,2,6,5,7,3,1]=>011011 [4,2,6,7,1,3,5]=>001001 [4,2,6,7,1,5,3]=>001101 [4,2,6,7,3,1,5]=>011001 [4,2,6,7,3,5,1]=>001101 [4,2,6,7,5,1,3]=>001101 [4,2,6,7,5,3,1]=>011101 [4,2,7,1,3,5,6]=>001001 [4,2,7,1,3,6,5]=>001011 [4,2,7,1,5,3,6]=>001101 [4,2,7,1,5,6,3]=>001011 [4,2,7,1,6,3,5]=>001011 [4,2,7,1,6,5,3]=>001111 [4,2,7,3,1,5,6]=>011001 [4,2,7,3,1,6,5]=>011011 [4,2,7,3,5,1,6]=>001101 [4,2,7,3,5,6,1]=>001011 [4,2,7,3,6,1,5]=>001011 [4,2,7,3,6,5,1]=>001111 [4,2,7,5,1,3,6]=>001101 [4,2,7,5,1,6,3]=>001111 [4,2,7,5,3,1,6]=>011101 [4,2,7,5,3,6,1]=>001111 [4,2,7,5,6,1,3]=>001011 [4,2,7,5,6,3,1]=>011011 [4,2,7,6,1,3,5]=>001011 [4,2,7,6,1,5,3]=>001111 [4,2,7,6,3,1,5]=>011011 [4,2,7,6,3,5,1]=>001111 [4,2,7,6,5,1,3]=>001111 [4,2,7,6,5,3,1]=>011111 [4,3,1,2,5,6,7]=>011000 [4,3,1,2,5,7,6]=>011001 [4,3,1,2,6,5,7]=>011010 [4,3,1,2,6,7,5]=>011001 [4,3,1,2,7,5,6]=>011001 [4,3,1,2,7,6,5]=>011011 [4,3,1,5,2,6,7]=>011100 [4,3,1,5,2,7,6]=>011101 [4,3,1,5,6,2,7]=>011010 [4,3,1,5,6,7,2]=>011001 [4,3,1,5,7,2,6]=>011001 [4,3,1,5,7,6,2]=>011011 [4,3,1,6,2,5,7]=>011010 [4,3,1,6,2,7,5]=>011011 [4,3,1,6,5,2,7]=>011110 [4,3,1,6,5,7,2]=>011011 [4,3,1,6,7,2,5]=>011001 [4,3,1,6,7,5,2]=>011101 [4,3,1,7,2,5,6]=>011001 [4,3,1,7,2,6,5]=>011011 [4,3,1,7,5,2,6]=>011101 [4,3,1,7,5,6,2]=>011011 [4,3,1,7,6,2,5]=>011011 [4,3,1,7,6,5,2]=>011111 [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]=>111001 [4,3,2,1,7,5,6]=>111001 [4,3,2,1,7,6,5]=>111011 [4,3,2,5,1,6,7]=>011100 [4,3,2,5,1,7,6]=>011101 [4,3,2,5,6,1,7]=>011010 [4,3,2,5,6,7,1]=>011001 [4,3,2,5,7,1,6]=>011001 [4,3,2,5,7,6,1]=>011011 [4,3,2,6,1,5,7]=>011010 [4,3,2,6,1,7,5]=>011011 [4,3,2,6,5,1,7]=>011110 [4,3,2,6,5,7,1]=>011011 [4,3,2,6,7,1,5]=>011001 [4,3,2,6,7,5,1]=>011101 [4,3,2,7,1,5,6]=>011001 [4,3,2,7,1,6,5]=>011011 [4,3,2,7,5,1,6]=>011101 [4,3,2,7,5,6,1]=>011011 [4,3,2,7,6,1,5]=>011011 [4,3,2,7,6,5,1]=>011111 [4,3,5,1,2,6,7]=>001100 [4,3,5,1,2,7,6]=>001101 [4,3,5,1,6,2,7]=>001110 [4,3,5,1,6,7,2]=>001101 [4,3,5,1,7,2,6]=>001101 [4,3,5,1,7,6,2]=>001111 [4,3,5,2,1,6,7]=>101100 [4,3,5,2,1,7,6]=>101101 [4,3,5,2,6,1,7]=>001110 [4,3,5,2,6,7,1]=>001101 [4,3,5,2,7,1,6]=>001101 [4,3,5,2,7,6,1]=>001111 [4,3,5,6,1,2,7]=>001010 [4,3,5,6,1,7,2]=>001011 [4,3,5,6,2,1,7]=>101010 [4,3,5,6,2,7,1]=>001011 [4,3,5,6,7,1,2]=>001001 [4,3,5,6,7,2,1]=>101001 [4,3,5,7,1,2,6]=>001001 [4,3,5,7,1,6,2]=>001011 [4,3,5,7,2,1,6]=>101001 [4,3,5,7,2,6,1]=>001011 [4,3,5,7,6,1,2]=>001011 [4,3,5,7,6,2,1]=>101011 [4,3,6,1,2,5,7]=>001010 [4,3,6,1,2,7,5]=>001011 [4,3,6,1,5,2,7]=>001110 [4,3,6,1,5,7,2]=>001011 [4,3,6,1,7,2,5]=>001011 [4,3,6,1,7,5,2]=>001111 [4,3,6,2,1,5,7]=>101010 [4,3,6,2,1,7,5]=>101011 [4,3,6,2,5,1,7]=>001110 [4,3,6,2,5,7,1]=>001011 [4,3,6,2,7,1,5]=>001011 [4,3,6,2,7,5,1]=>001111 [4,3,6,5,1,2,7]=>001110 [4,3,6,5,1,7,2]=>001111 [4,3,6,5,2,1,7]=>101110 [4,3,6,5,2,7,1]=>001111 [4,3,6,5,7,1,2]=>001011 [4,3,6,5,7,2,1]=>101011 [4,3,6,7,1,2,5]=>001001 [4,3,6,7,1,5,2]=>001101 [4,3,6,7,2,1,5]=>101001 [4,3,6,7,2,5,1]=>001101 [4,3,6,7,5,1,2]=>001101 [4,3,6,7,5,2,1]=>101101 [4,3,7,1,2,5,6]=>001001 [4,3,7,1,2,6,5]=>001011 [4,3,7,1,5,2,6]=>001101 [4,3,7,1,5,6,2]=>001011 [4,3,7,1,6,2,5]=>001011 [4,3,7,1,6,5,2]=>001111 [4,3,7,2,1,5,6]=>101001 [4,3,7,2,1,6,5]=>101011 [4,3,7,2,5,1,6]=>001101 [4,3,7,2,5,6,1]=>001011 [4,3,7,2,6,1,5]=>001011 [4,3,7,2,6,5,1]=>001111 [4,3,7,5,1,2,6]=>001101 [4,3,7,5,1,6,2]=>001111 [4,3,7,5,2,1,6]=>101101 [4,3,7,5,2,6,1]=>001111 [4,3,7,5,6,1,2]=>001011 [4,3,7,5,6,2,1]=>101011 [4,3,7,6,1,2,5]=>001011 [4,3,7,6,1,5,2]=>001111 [4,3,7,6,2,1,5]=>101011 [4,3,7,6,2,5,1]=>001111 [4,3,7,6,5,1,2]=>001111 [4,3,7,6,5,2,1]=>101111 [4,5,1,2,3,6,7]=>000100 [4,5,1,2,3,7,6]=>000101 [4,5,1,2,6,3,7]=>000110 [4,5,1,2,6,7,3]=>000101 [4,5,1,2,7,3,6]=>000101 [4,5,1,2,7,6,3]=>000111 [4,5,1,3,2,6,7]=>010100 [4,5,1,3,2,7,6]=>010101 [4,5,1,3,6,2,7]=>000110 [4,5,1,3,6,7,2]=>000101 [4,5,1,3,7,2,6]=>000101 [4,5,1,3,7,6,2]=>000111 [4,5,1,6,2,3,7]=>000110 [4,5,1,6,2,7,3]=>000111 [4,5,1,6,3,2,7]=>010110 [4,5,1,6,3,7,2]=>000111 [4,5,1,6,7,2,3]=>000101 [4,5,1,6,7,3,2]=>010101 [4,5,1,7,2,3,6]=>000101 [4,5,1,7,2,6,3]=>000111 [4,5,1,7,3,2,6]=>010101 [4,5,1,7,3,6,2]=>000111 [4,5,1,7,6,2,3]=>000111 [4,5,1,7,6,3,2]=>010111 [4,5,2,1,3,6,7]=>100100 [4,5,2,1,3,7,6]=>100101 [4,5,2,1,6,3,7]=>100110 [4,5,2,1,6,7,3]=>100101 [4,5,2,1,7,3,6]=>100101 [4,5,2,1,7,6,3]=>100111 [4,5,2,3,1,6,7]=>010100 [4,5,2,3,1,7,6]=>010101 [4,5,2,3,6,1,7]=>000110 [4,5,2,3,6,7,1]=>000101 [4,5,2,3,7,1,6]=>000101 [4,5,2,3,7,6,1]=>000111 [4,5,2,6,1,3,7]=>000110 [4,5,2,6,1,7,3]=>000111 [4,5,2,6,3,1,7]=>010110 [4,5,2,6,3,7,1]=>000111 [4,5,2,6,7,1,3]=>000101 [4,5,2,6,7,3,1]=>010101 [4,5,2,7,1,3,6]=>000101 [4,5,2,7,1,6,3]=>000111 [4,5,2,7,3,1,6]=>010101 [4,5,2,7,3,6,1]=>000111 [4,5,2,7,6,1,3]=>000111 [4,5,2,7,6,3,1]=>010111 [4,5,3,1,2,6,7]=>010100 [4,5,3,1,2,7,6]=>010101 [4,5,3,1,6,2,7]=>010110 [4,5,3,1,6,7,2]=>010101 [4,5,3,1,7,2,6]=>010101 [4,5,3,1,7,6,2]=>010111 [4,5,3,2,1,6,7]=>110100 [4,5,3,2,1,7,6]=>110101 [4,5,3,2,6,1,7]=>010110 [4,5,3,2,6,7,1]=>010101 [4,5,3,2,7,1,6]=>010101 [4,5,3,2,7,6,1]=>010111 [4,5,3,6,1,2,7]=>000110 [4,5,3,6,1,7,2]=>000111 [4,5,3,6,2,1,7]=>100110 [4,5,3,6,2,7,1]=>000111 [4,5,3,6,7,1,2]=>000101 [4,5,3,6,7,2,1]=>100101 [4,5,3,7,1,2,6]=>000101 [4,5,3,7,1,6,2]=>000111 [4,5,3,7,2,1,6]=>100101 [4,5,3,7,2,6,1]=>000111 [4,5,3,7,6,1,2]=>000111 [4,5,3,7,6,2,1]=>100111 [4,5,6,1,2,3,7]=>000010 [4,5,6,1,2,7,3]=>000011 [4,5,6,1,3,2,7]=>010010 [4,5,6,1,3,7,2]=>000011 [4,5,6,1,7,2,3]=>000011 [4,5,6,1,7,3,2]=>010011 [4,5,6,2,1,3,7]=>100010 [4,5,6,2,1,7,3]=>100011 [4,5,6,2,3,1,7]=>010010 [4,5,6,2,3,7,1]=>000011 [4,5,6,2,7,1,3]=>000011 [4,5,6,2,7,3,1]=>010011 [4,5,6,3,1,2,7]=>010010 [4,5,6,3,1,7,2]=>010011 [4,5,6,3,2,1,7]=>110010 [4,5,6,3,2,7,1]=>010011 [4,5,6,3,7,1,2]=>000011 [4,5,6,3,7,2,1]=>100011 [4,5,6,7,1,2,3]=>000001 [4,5,6,7,1,3,2]=>010001 [4,5,6,7,2,1,3]=>100001 [4,5,6,7,2,3,1]=>010001 [4,5,6,7,3,1,2]=>010001 [4,5,6,7,3,2,1]=>110001 [4,5,7,1,2,3,6]=>000001 [4,5,7,1,2,6,3]=>000011 [4,5,7,1,3,2,6]=>010001 [4,5,7,1,3,6,2]=>000011 [4,5,7,1,6,2,3]=>000011 [4,5,7,1,6,3,2]=>010011 [4,5,7,2,1,3,6]=>100001 [4,5,7,2,1,6,3]=>100011 [4,5,7,2,3,1,6]=>010001 [4,5,7,2,3,6,1]=>000011 [4,5,7,2,6,1,3]=>000011 [4,5,7,2,6,3,1]=>010011 [4,5,7,3,1,2,6]=>010001 [4,5,7,3,1,6,2]=>010011 [4,5,7,3,2,1,6]=>110001 [4,5,7,3,2,6,1]=>010011 [4,5,7,3,6,1,2]=>000011 [4,5,7,3,6,2,1]=>100011 [4,5,7,6,1,2,3]=>000011 [4,5,7,6,1,3,2]=>010011 [4,5,7,6,2,1,3]=>100011 [4,5,7,6,2,3,1]=>010011 [4,5,7,6,3,1,2]=>010011 [4,5,7,6,3,2,1]=>110011 [4,6,1,2,3,5,7]=>000010 [4,6,1,2,3,7,5]=>000011 [4,6,1,2,5,3,7]=>000110 [4,6,1,2,5,7,3]=>000011 [4,6,1,2,7,3,5]=>000011 [4,6,1,2,7,5,3]=>000111 [4,6,1,3,2,5,7]=>010010 [4,6,1,3,2,7,5]=>010011 [4,6,1,3,5,2,7]=>000110 [4,6,1,3,5,7,2]=>000011 [4,6,1,3,7,2,5]=>000011 [4,6,1,3,7,5,2]=>000111 [4,6,1,5,2,3,7]=>000110 [4,6,1,5,2,7,3]=>000111 [4,6,1,5,3,2,7]=>010110 [4,6,1,5,3,7,2]=>000111 [4,6,1,5,7,2,3]=>000011 [4,6,1,5,7,3,2]=>010011 [4,6,1,7,2,3,5]=>000011 [4,6,1,7,2,5,3]=>000111 [4,6,1,7,3,2,5]=>010011 [4,6,1,7,3,5,2]=>000111 [4,6,1,7,5,2,3]=>000111 [4,6,1,7,5,3,2]=>010111 [4,6,2,1,3,5,7]=>100010 [4,6,2,1,3,7,5]=>100011 [4,6,2,1,5,3,7]=>100110 [4,6,2,1,5,7,3]=>100011 [4,6,2,1,7,3,5]=>100011 [4,6,2,1,7,5,3]=>100111 [4,6,2,3,1,5,7]=>010010 [4,6,2,3,1,7,5]=>010011 [4,6,2,3,5,1,7]=>000110 [4,6,2,3,5,7,1]=>000011 [4,6,2,3,7,1,5]=>000011 [4,6,2,3,7,5,1]=>000111 [4,6,2,5,1,3,7]=>000110 [4,6,2,5,1,7,3]=>000111 [4,6,2,5,3,1,7]=>010110 [4,6,2,5,3,7,1]=>000111 [4,6,2,5,7,1,3]=>000011 [4,6,2,5,7,3,1]=>010011 [4,6,2,7,1,3,5]=>000011 [4,6,2,7,1,5,3]=>000111 [4,6,2,7,3,1,5]=>010011 [4,6,2,7,3,5,1]=>000111 [4,6,2,7,5,1,3]=>000111 [4,6,2,7,5,3,1]=>010111 [4,6,3,1,2,5,7]=>010010 [4,6,3,1,2,7,5]=>010011 [4,6,3,1,5,2,7]=>010110 [4,6,3,1,5,7,2]=>010011 [4,6,3,1,7,2,5]=>010011 [4,6,3,1,7,5,2]=>010111 [4,6,3,2,1,5,7]=>110010 [4,6,3,2,1,7,5]=>110011 [4,6,3,2,5,1,7]=>010110 [4,6,3,2,5,7,1]=>010011 [4,6,3,2,7,1,5]=>010011 [4,6,3,2,7,5,1]=>010111 [4,6,3,5,1,2,7]=>000110 [4,6,3,5,1,7,2]=>000111 [4,6,3,5,2,1,7]=>100110 [4,6,3,5,2,7,1]=>000111 [4,6,3,5,7,1,2]=>000011 [4,6,3,5,7,2,1]=>100011 [4,6,3,7,1,2,5]=>000011 [4,6,3,7,1,5,2]=>000111 [4,6,3,7,2,1,5]=>100011 [4,6,3,7,2,5,1]=>000111 [4,6,3,7,5,1,2]=>000111 [4,6,3,7,5,2,1]=>100111 [4,6,5,1,2,3,7]=>000110 [4,6,5,1,2,7,3]=>000111 [4,6,5,1,3,2,7]=>010110 [4,6,5,1,3,7,2]=>000111 [4,6,5,1,7,2,3]=>000111 [4,6,5,1,7,3,2]=>010111 [4,6,5,2,1,3,7]=>100110 [4,6,5,2,1,7,3]=>100111 [4,6,5,2,3,1,7]=>010110 [4,6,5,2,3,7,1]=>000111 [4,6,5,2,7,1,3]=>000111 [4,6,5,2,7,3,1]=>010111 [4,6,5,3,1,2,7]=>010110 [4,6,5,3,1,7,2]=>010111 [4,6,5,3,2,1,7]=>110110 [4,6,5,3,2,7,1]=>010111 [4,6,5,3,7,1,2]=>000111 [4,6,5,3,7,2,1]=>100111 [4,6,5,7,1,2,3]=>000011 [4,6,5,7,1,3,2]=>010011 [4,6,5,7,2,1,3]=>100011 [4,6,5,7,2,3,1]=>010011 [4,6,5,7,3,1,2]=>010011 [4,6,5,7,3,2,1]=>110011 [4,6,7,1,2,3,5]=>000001 [4,6,7,1,2,5,3]=>000101 [4,6,7,1,3,2,5]=>010001 [4,6,7,1,3,5,2]=>000101 [4,6,7,1,5,2,3]=>000101 [4,6,7,1,5,3,2]=>010101 [4,6,7,2,1,3,5]=>100001 [4,6,7,2,1,5,3]=>100101 [4,6,7,2,3,1,5]=>010001 [4,6,7,2,3,5,1]=>000101 [4,6,7,2,5,1,3]=>000101 [4,6,7,2,5,3,1]=>010101 [4,6,7,3,1,2,5]=>010001 [4,6,7,3,1,5,2]=>010101 [4,6,7,3,2,1,5]=>110001 [4,6,7,3,2,5,1]=>010101 [4,6,7,3,5,1,2]=>000101 [4,6,7,3,5,2,1]=>100101 [4,6,7,5,1,2,3]=>000101 [4,6,7,5,1,3,2]=>010101 [4,6,7,5,2,1,3]=>100101 [4,6,7,5,2,3,1]=>010101 [4,6,7,5,3,1,2]=>010101 [4,6,7,5,3,2,1]=>110101 [4,7,1,2,3,5,6]=>000001 [4,7,1,2,3,6,5]=>000011 [4,7,1,2,5,3,6]=>000101 [4,7,1,2,5,6,3]=>000011 [4,7,1,2,6,3,5]=>000011 [4,7,1,2,6,5,3]=>000111 [4,7,1,3,2,5,6]=>010001 [4,7,1,3,2,6,5]=>010011 [4,7,1,3,5,2,6]=>000101 [4,7,1,3,5,6,2]=>000011 [4,7,1,3,6,2,5]=>000011 [4,7,1,3,6,5,2]=>000111 [4,7,1,5,2,3,6]=>000101 [4,7,1,5,2,6,3]=>000111 [4,7,1,5,3,2,6]=>010101 [4,7,1,5,3,6,2]=>000111 [4,7,1,5,6,2,3]=>000011 [4,7,1,5,6,3,2]=>010011 [4,7,1,6,2,3,5]=>000011 [4,7,1,6,2,5,3]=>000111 [4,7,1,6,3,2,5]=>010011 [4,7,1,6,3,5,2]=>000111 [4,7,1,6,5,2,3]=>000111 [4,7,1,6,5,3,2]=>010111 [4,7,2,1,3,5,6]=>100001 [4,7,2,1,3,6,5]=>100011 [4,7,2,1,5,3,6]=>100101 [4,7,2,1,5,6,3]=>100011 [4,7,2,1,6,3,5]=>100011 [4,7,2,1,6,5,3]=>100111 [4,7,2,3,1,5,6]=>010001 [4,7,2,3,1,6,5]=>010011 [4,7,2,3,5,1,6]=>000101 [4,7,2,3,5,6,1]=>000011 [4,7,2,3,6,1,5]=>000011 [4,7,2,3,6,5,1]=>000111 [4,7,2,5,1,3,6]=>000101 [4,7,2,5,1,6,3]=>000111 [4,7,2,5,3,1,6]=>010101 [4,7,2,5,3,6,1]=>000111 [4,7,2,5,6,1,3]=>000011 [4,7,2,5,6,3,1]=>010011 [4,7,2,6,1,3,5]=>000011 [4,7,2,6,1,5,3]=>000111 [4,7,2,6,3,1,5]=>010011 [4,7,2,6,3,5,1]=>000111 [4,7,2,6,5,1,3]=>000111 [4,7,2,6,5,3,1]=>010111 [4,7,3,1,2,5,6]=>010001 [4,7,3,1,2,6,5]=>010011 [4,7,3,1,5,2,6]=>010101 [4,7,3,1,5,6,2]=>010011 [4,7,3,1,6,2,5]=>010011 [4,7,3,1,6,5,2]=>010111 [4,7,3,2,1,5,6]=>110001 [4,7,3,2,1,6,5]=>110011 [4,7,3,2,5,1,6]=>010101 [4,7,3,2,5,6,1]=>010011 [4,7,3,2,6,1,5]=>010011 [4,7,3,2,6,5,1]=>010111 [4,7,3,5,1,2,6]=>000101 [4,7,3,5,1,6,2]=>000111 [4,7,3,5,2,1,6]=>100101 [4,7,3,5,2,6,1]=>000111 [4,7,3,5,6,1,2]=>000011 [4,7,3,5,6,2,1]=>100011 [4,7,3,6,1,2,5]=>000011 [4,7,3,6,1,5,2]=>000111 [4,7,3,6,2,1,5]=>100011 [4,7,3,6,2,5,1]=>000111 [4,7,3,6,5,1,2]=>000111 [4,7,3,6,5,2,1]=>100111 [4,7,5,1,2,3,6]=>000101 [4,7,5,1,2,6,3]=>000111 [4,7,5,1,3,2,6]=>010101 [4,7,5,1,3,6,2]=>000111 [4,7,5,1,6,2,3]=>000111 [4,7,5,1,6,3,2]=>010111 [4,7,5,2,1,3,6]=>100101 [4,7,5,2,1,6,3]=>100111 [4,7,5,2,3,1,6]=>010101 [4,7,5,2,3,6,1]=>000111 [4,7,5,2,6,1,3]=>000111 [4,7,5,2,6,3,1]=>010111 [4,7,5,3,1,2,6]=>010101 [4,7,5,3,1,6,2]=>010111 [4,7,5,3,2,1,6]=>110101 [4,7,5,3,2,6,1]=>010111 [4,7,5,3,6,1,2]=>000111 [4,7,5,3,6,2,1]=>100111 [4,7,5,6,1,2,3]=>000011 [4,7,5,6,1,3,2]=>010011 [4,7,5,6,2,1,3]=>100011 [4,7,5,6,2,3,1]=>010011 [4,7,5,6,3,1,2]=>010011 [4,7,5,6,3,2,1]=>110011 [4,7,6,1,2,3,5]=>000011 [4,7,6,1,2,5,3]=>000111 [4,7,6,1,3,2,5]=>010011 [4,7,6,1,3,5,2]=>000111 [4,7,6,1,5,2,3]=>000111 [4,7,6,1,5,3,2]=>010111 [4,7,6,2,1,3,5]=>100011 [4,7,6,2,1,5,3]=>100111 [4,7,6,2,3,1,5]=>010011 [4,7,6,2,3,5,1]=>000111 [4,7,6,2,5,1,3]=>000111 [4,7,6,2,5,3,1]=>010111 [4,7,6,3,1,2,5]=>010011 [4,7,6,3,1,5,2]=>010111 [4,7,6,3,2,1,5]=>110011 [4,7,6,3,2,5,1]=>010111 [4,7,6,3,5,1,2]=>000111 [4,7,6,3,5,2,1]=>100111 [4,7,6,5,1,2,3]=>000111 [4,7,6,5,1,3,2]=>010111 [4,7,6,5,2,1,3]=>100111 [4,7,6,5,2,3,1]=>010111 [4,7,6,5,3,1,2]=>010111 [4,7,6,5,3,2,1]=>110111 [5,1,2,3,4,6,7]=>000100 [5,1,2,3,4,7,6]=>000101 [5,1,2,3,6,4,7]=>000110 [5,1,2,3,6,7,4]=>000101 [5,1,2,3,7,4,6]=>000101 [5,1,2,3,7,6,4]=>000111 [5,1,2,4,3,6,7]=>001100 [5,1,2,4,3,7,6]=>001101 [5,1,2,4,6,3,7]=>000110 [5,1,2,4,6,7,3]=>000101 [5,1,2,4,7,3,6]=>000101 [5,1,2,4,7,6,3]=>000111 [5,1,2,6,3,4,7]=>000110 [5,1,2,6,3,7,4]=>000111 [5,1,2,6,4,3,7]=>001110 [5,1,2,6,4,7,3]=>000111 [5,1,2,6,7,3,4]=>000101 [5,1,2,6,7,4,3]=>001101 [5,1,2,7,3,4,6]=>000101 [5,1,2,7,3,6,4]=>000111 [5,1,2,7,4,3,6]=>001101 [5,1,2,7,4,6,3]=>000111 [5,1,2,7,6,3,4]=>000111 [5,1,2,7,6,4,3]=>001111 [5,1,3,2,4,6,7]=>010100 [5,1,3,2,4,7,6]=>010101 [5,1,3,2,6,4,7]=>010110 [5,1,3,2,6,7,4]=>010101 [5,1,3,2,7,4,6]=>010101 [5,1,3,2,7,6,4]=>010111 [5,1,3,4,2,6,7]=>001100 [5,1,3,4,2,7,6]=>001101 [5,1,3,4,6,2,7]=>000110 [5,1,3,4,6,7,2]=>000101 [5,1,3,4,7,2,6]=>000101 [5,1,3,4,7,6,2]=>000111 [5,1,3,6,2,4,7]=>000110 [5,1,3,6,2,7,4]=>000111 [5,1,3,6,4,2,7]=>001110 [5,1,3,6,4,7,2]=>000111 [5,1,3,6,7,2,4]=>000101 [5,1,3,6,7,4,2]=>001101 [5,1,3,7,2,4,6]=>000101 [5,1,3,7,2,6,4]=>000111 [5,1,3,7,4,2,6]=>001101 [5,1,3,7,4,6,2]=>000111 [5,1,3,7,6,2,4]=>000111 [5,1,3,7,6,4,2]=>001111 [5,1,4,2,3,6,7]=>001100 [5,1,4,2,3,7,6]=>001101 [5,1,4,2,6,3,7]=>001110 [5,1,4,2,6,7,3]=>001101 [5,1,4,2,7,3,6]=>001101 [5,1,4,2,7,6,3]=>001111 [5,1,4,3,2,6,7]=>011100 [5,1,4,3,2,7,6]=>011101 [5,1,4,3,6,2,7]=>001110 [5,1,4,3,6,7,2]=>001101 [5,1,4,3,7,2,6]=>001101 [5,1,4,3,7,6,2]=>001111 [5,1,4,6,2,3,7]=>000110 [5,1,4,6,2,7,3]=>000111 [5,1,4,6,3,2,7]=>010110 [5,1,4,6,3,7,2]=>000111 [5,1,4,6,7,2,3]=>000101 [5,1,4,6,7,3,2]=>010101 [5,1,4,7,2,3,6]=>000101 [5,1,4,7,2,6,3]=>000111 [5,1,4,7,3,2,6]=>010101 [5,1,4,7,3,6,2]=>000111 [5,1,4,7,6,2,3]=>000111 [5,1,4,7,6,3,2]=>010111 [5,1,6,2,3,4,7]=>000110 [5,1,6,2,3,7,4]=>000111 [5,1,6,2,4,3,7]=>001110 [5,1,6,2,4,7,3]=>000111 [5,1,6,2,7,3,4]=>000111 [5,1,6,2,7,4,3]=>001111 [5,1,6,3,2,4,7]=>010110 [5,1,6,3,2,7,4]=>010111 [5,1,6,3,4,2,7]=>001110 [5,1,6,3,4,7,2]=>000111 [5,1,6,3,7,2,4]=>000111 [5,1,6,3,7,4,2]=>001111 [5,1,6,4,2,3,7]=>001110 [5,1,6,4,2,7,3]=>001111 [5,1,6,4,3,2,7]=>011110 [5,1,6,4,3,7,2]=>001111 [5,1,6,4,7,2,3]=>000111 [5,1,6,4,7,3,2]=>010111 [5,1,6,7,2,3,4]=>000101 [5,1,6,7,2,4,3]=>001101 [5,1,6,7,3,2,4]=>010101 [5,1,6,7,3,4,2]=>001101 [5,1,6,7,4,2,3]=>001101 [5,1,6,7,4,3,2]=>011101 [5,1,7,2,3,4,6]=>000101 [5,1,7,2,3,6,4]=>000111 [5,1,7,2,4,3,6]=>001101 [5,1,7,2,4,6,3]=>000111 [5,1,7,2,6,3,4]=>000111 [5,1,7,2,6,4,3]=>001111 [5,1,7,3,2,4,6]=>010101 [5,1,7,3,2,6,4]=>010111 [5,1,7,3,4,2,6]=>001101 [5,1,7,3,4,6,2]=>000111 [5,1,7,3,6,2,4]=>000111 [5,1,7,3,6,4,2]=>001111 [5,1,7,4,2,3,6]=>001101 [5,1,7,4,2,6,3]=>001111 [5,1,7,4,3,2,6]=>011101 [5,1,7,4,3,6,2]=>001111 [5,1,7,4,6,2,3]=>000111 [5,1,7,4,6,3,2]=>010111 [5,1,7,6,2,3,4]=>000111 [5,1,7,6,2,4,3]=>001111 [5,1,7,6,3,2,4]=>010111 [5,1,7,6,3,4,2]=>001111 [5,1,7,6,4,2,3]=>001111 [5,1,7,6,4,3,2]=>011111 [5,2,1,3,4,6,7]=>100100 [5,2,1,3,4,7,6]=>100101 [5,2,1,3,6,4,7]=>100110 [5,2,1,3,6,7,4]=>100101 [5,2,1,3,7,4,6]=>100101 [5,2,1,3,7,6,4]=>100111 [5,2,1,4,3,6,7]=>101100 [5,2,1,4,3,7,6]=>101101 [5,2,1,4,6,3,7]=>100110 [5,2,1,4,6,7,3]=>100101 [5,2,1,4,7,3,6]=>100101 [5,2,1,4,7,6,3]=>100111 [5,2,1,6,3,4,7]=>100110 [5,2,1,6,3,7,4]=>100111 [5,2,1,6,4,3,7]=>101110 [5,2,1,6,4,7,3]=>100111 [5,2,1,6,7,3,4]=>100101 [5,2,1,6,7,4,3]=>101101 [5,2,1,7,3,4,6]=>100101 [5,2,1,7,3,6,4]=>100111 [5,2,1,7,4,3,6]=>101101 [5,2,1,7,4,6,3]=>100111 [5,2,1,7,6,3,4]=>100111 [5,2,1,7,6,4,3]=>101111 [5,2,3,1,4,6,7]=>010100 [5,2,3,1,4,7,6]=>010101 [5,2,3,1,6,4,7]=>010110 [5,2,3,1,6,7,4]=>010101 [5,2,3,1,7,4,6]=>010101 [5,2,3,1,7,6,4]=>010111 [5,2,3,4,1,6,7]=>001100 [5,2,3,4,1,7,6]=>001101 [5,2,3,4,6,1,7]=>000110 [5,2,3,4,6,7,1]=>000101 [5,2,3,4,7,1,6]=>000101 [5,2,3,4,7,6,1]=>000111 [5,2,3,6,1,4,7]=>000110 [5,2,3,6,1,7,4]=>000111 [5,2,3,6,4,1,7]=>001110 [5,2,3,6,4,7,1]=>000111 [5,2,3,6,7,1,4]=>000101 [5,2,3,6,7,4,1]=>001101 [5,2,3,7,1,4,6]=>000101 [5,2,3,7,1,6,4]=>000111 [5,2,3,7,4,1,6]=>001101 [5,2,3,7,4,6,1]=>000111 [5,2,3,7,6,1,4]=>000111 [5,2,3,7,6,4,1]=>001111 [5,2,4,1,3,6,7]=>001100 [5,2,4,1,3,7,6]=>001101 [5,2,4,1,6,3,7]=>001110 [5,2,4,1,6,7,3]=>001101 [5,2,4,1,7,3,6]=>001101 [5,2,4,1,7,6,3]=>001111 [5,2,4,3,1,6,7]=>011100 [5,2,4,3,1,7,6]=>011101 [5,2,4,3,6,1,7]=>001110 [5,2,4,3,6,7,1]=>001101 [5,2,4,3,7,1,6]=>001101 [5,2,4,3,7,6,1]=>001111 [5,2,4,6,1,3,7]=>000110 [5,2,4,6,1,7,3]=>000111 [5,2,4,6,3,1,7]=>010110 [5,2,4,6,3,7,1]=>000111 [5,2,4,6,7,1,3]=>000101 [5,2,4,6,7,3,1]=>010101 [5,2,4,7,1,3,6]=>000101 [5,2,4,7,1,6,3]=>000111 [5,2,4,7,3,1,6]=>010101 [5,2,4,7,3,6,1]=>000111 [5,2,4,7,6,1,3]=>000111 [5,2,4,7,6,3,1]=>010111 [5,2,6,1,3,4,7]=>000110 [5,2,6,1,3,7,4]=>000111 [5,2,6,1,4,3,7]=>001110 [5,2,6,1,4,7,3]=>000111 [5,2,6,1,7,3,4]=>000111 [5,2,6,1,7,4,3]=>001111 [5,2,6,3,1,4,7]=>010110 [5,2,6,3,1,7,4]=>010111 [5,2,6,3,4,1,7]=>001110 [5,2,6,3,4,7,1]=>000111 [5,2,6,3,7,1,4]=>000111 [5,2,6,3,7,4,1]=>001111 [5,2,6,4,1,3,7]=>001110 [5,2,6,4,1,7,3]=>001111 [5,2,6,4,3,1,7]=>011110 [5,2,6,4,3,7,1]=>001111 [5,2,6,4,7,1,3]=>000111 [5,2,6,4,7,3,1]=>010111 [5,2,6,7,1,3,4]=>000101 [5,2,6,7,1,4,3]=>001101 [5,2,6,7,3,1,4]=>010101 [5,2,6,7,3,4,1]=>001101 [5,2,6,7,4,1,3]=>001101 [5,2,6,7,4,3,1]=>011101 [5,2,7,1,3,4,6]=>000101 [5,2,7,1,3,6,4]=>000111 [5,2,7,1,4,3,6]=>001101 [5,2,7,1,4,6,3]=>000111 [5,2,7,1,6,3,4]=>000111 [5,2,7,1,6,4,3]=>001111 [5,2,7,3,1,4,6]=>010101 [5,2,7,3,1,6,4]=>010111 [5,2,7,3,4,1,6]=>001101 [5,2,7,3,4,6,1]=>000111 [5,2,7,3,6,1,4]=>000111 [5,2,7,3,6,4,1]=>001111 [5,2,7,4,1,3,6]=>001101 [5,2,7,4,1,6,3]=>001111 [5,2,7,4,3,1,6]=>011101 [5,2,7,4,3,6,1]=>001111 [5,2,7,4,6,1,3]=>000111 [5,2,7,4,6,3,1]=>010111 [5,2,7,6,1,3,4]=>000111 [5,2,7,6,1,4,3]=>001111 [5,2,7,6,3,1,4]=>010111 [5,2,7,6,3,4,1]=>001111 [5,2,7,6,4,1,3]=>001111 [5,2,7,6,4,3,1]=>011111 [5,3,1,2,4,6,7]=>010100 [5,3,1,2,4,7,6]=>010101 [5,3,1,2,6,4,7]=>010110 [5,3,1,2,6,7,4]=>010101 [5,3,1,2,7,4,6]=>010101 [5,3,1,2,7,6,4]=>010111 [5,3,1,4,2,6,7]=>011100 [5,3,1,4,2,7,6]=>011101 [5,3,1,4,6,2,7]=>010110 [5,3,1,4,6,7,2]=>010101 [5,3,1,4,7,2,6]=>010101 [5,3,1,4,7,6,2]=>010111 [5,3,1,6,2,4,7]=>010110 [5,3,1,6,2,7,4]=>010111 [5,3,1,6,4,2,7]=>011110 [5,3,1,6,4,7,2]=>010111 [5,3,1,6,7,2,4]=>010101 [5,3,1,6,7,4,2]=>011101 [5,3,1,7,2,4,6]=>010101 [5,3,1,7,2,6,4]=>010111 [5,3,1,7,4,2,6]=>011101 [5,3,1,7,4,6,2]=>010111 [5,3,1,7,6,2,4]=>010111 [5,3,1,7,6,4,2]=>011111 [5,3,2,1,4,6,7]=>110100 [5,3,2,1,4,7,6]=>110101 [5,3,2,1,6,4,7]=>110110 [5,3,2,1,6,7,4]=>110101 [5,3,2,1,7,4,6]=>110101 [5,3,2,1,7,6,4]=>110111 [5,3,2,4,1,6,7]=>011100 [5,3,2,4,1,7,6]=>011101 [5,3,2,4,6,1,7]=>010110 [5,3,2,4,6,7,1]=>010101 [5,3,2,4,7,1,6]=>010101 [5,3,2,4,7,6,1]=>010111 [5,3,2,6,1,4,7]=>010110 [5,3,2,6,1,7,4]=>010111 [5,3,2,6,4,1,7]=>011110 [5,3,2,6,4,7,1]=>010111 [5,3,2,6,7,1,4]=>010101 [5,3,2,6,7,4,1]=>011101 [5,3,2,7,1,4,6]=>010101 [5,3,2,7,1,6,4]=>010111 [5,3,2,7,4,1,6]=>011101 [5,3,2,7,4,6,1]=>010111 [5,3,2,7,6,1,4]=>010111 [5,3,2,7,6,4,1]=>011111 [5,3,4,1,2,6,7]=>001100 [5,3,4,1,2,7,6]=>001101 [5,3,4,1,6,2,7]=>001110 [5,3,4,1,6,7,2]=>001101 [5,3,4,1,7,2,6]=>001101 [5,3,4,1,7,6,2]=>001111 [5,3,4,2,1,6,7]=>101100 [5,3,4,2,1,7,6]=>101101 [5,3,4,2,6,1,7]=>001110 [5,3,4,2,6,7,1]=>001101 [5,3,4,2,7,1,6]=>001101 [5,3,4,2,7,6,1]=>001111 [5,3,4,6,1,2,7]=>000110 [5,3,4,6,1,7,2]=>000111 [5,3,4,6,2,1,7]=>100110 [5,3,4,6,2,7,1]=>000111 [5,3,4,6,7,1,2]=>000101 [5,3,4,6,7,2,1]=>100101 [5,3,4,7,1,2,6]=>000101 [5,3,4,7,1,6,2]=>000111 [5,3,4,7,2,1,6]=>100101 [5,3,4,7,2,6,1]=>000111 [5,3,4,7,6,1,2]=>000111 [5,3,4,7,6,2,1]=>100111 [5,3,6,1,2,4,7]=>000110 [5,3,6,1,2,7,4]=>000111 [5,3,6,1,4,2,7]=>001110 [5,3,6,1,4,7,2]=>000111 [5,3,6,1,7,2,4]=>000111 [5,3,6,1,7,4,2]=>001111 [5,3,6,2,1,4,7]=>100110 [5,3,6,2,1,7,4]=>100111 [5,3,6,2,4,1,7]=>001110 [5,3,6,2,4,7,1]=>000111 [5,3,6,2,7,1,4]=>000111 [5,3,6,2,7,4,1]=>001111 [5,3,6,4,1,2,7]=>001110 [5,3,6,4,1,7,2]=>001111 [5,3,6,4,2,1,7]=>101110 [5,3,6,4,2,7,1]=>001111 [5,3,6,4,7,1,2]=>000111 [5,3,6,4,7,2,1]=>100111 [5,3,6,7,1,2,4]=>000101 [5,3,6,7,1,4,2]=>001101 [5,3,6,7,2,1,4]=>100101 [5,3,6,7,2,4,1]=>001101 [5,3,6,7,4,1,2]=>001101 [5,3,6,7,4,2,1]=>101101 [5,3,7,1,2,4,6]=>000101 [5,3,7,1,2,6,4]=>000111 [5,3,7,1,4,2,6]=>001101 [5,3,7,1,4,6,2]=>000111 [5,3,7,1,6,2,4]=>000111 [5,3,7,1,6,4,2]=>001111 [5,3,7,2,1,4,6]=>100101 [5,3,7,2,1,6,4]=>100111 [5,3,7,2,4,1,6]=>001101 [5,3,7,2,4,6,1]=>000111 [5,3,7,2,6,1,4]=>000111 [5,3,7,2,6,4,1]=>001111 [5,3,7,4,1,2,6]=>001101 [5,3,7,4,1,6,2]=>001111 [5,3,7,4,2,1,6]=>101101 [5,3,7,4,2,6,1]=>001111 [5,3,7,4,6,1,2]=>000111 [5,3,7,4,6,2,1]=>100111 [5,3,7,6,1,2,4]=>000111 [5,3,7,6,1,4,2]=>001111 [5,3,7,6,2,1,4]=>100111 [5,3,7,6,2,4,1]=>001111 [5,3,7,6,4,1,2]=>001111 [5,3,7,6,4,2,1]=>101111 [5,4,1,2,3,6,7]=>001100 [5,4,1,2,3,7,6]=>001101 [5,4,1,2,6,3,7]=>001110 [5,4,1,2,6,7,3]=>001101 [5,4,1,2,7,3,6]=>001101 [5,4,1,2,7,6,3]=>001111 [5,4,1,3,2,6,7]=>011100 [5,4,1,3,2,7,6]=>011101 [5,4,1,3,6,2,7]=>001110 [5,4,1,3,6,7,2]=>001101 [5,4,1,3,7,2,6]=>001101 [5,4,1,3,7,6,2]=>001111 [5,4,1,6,2,3,7]=>001110 [5,4,1,6,2,7,3]=>001111 [5,4,1,6,3,2,7]=>011110 [5,4,1,6,3,7,2]=>001111 [5,4,1,6,7,2,3]=>001101 [5,4,1,6,7,3,2]=>011101 [5,4,1,7,2,3,6]=>001101 [5,4,1,7,2,6,3]=>001111 [5,4,1,7,3,2,6]=>011101 [5,4,1,7,3,6,2]=>001111 [5,4,1,7,6,2,3]=>001111 [5,4,1,7,6,3,2]=>011111 [5,4,2,1,3,6,7]=>101100 [5,4,2,1,3,7,6]=>101101 [5,4,2,1,6,3,7]=>101110 [5,4,2,1,6,7,3]=>101101 [5,4,2,1,7,3,6]=>101101 [5,4,2,1,7,6,3]=>101111 [5,4,2,3,1,6,7]=>011100 [5,4,2,3,1,7,6]=>011101 [5,4,2,3,6,1,7]=>001110 [5,4,2,3,6,7,1]=>001101 [5,4,2,3,7,1,6]=>001101 [5,4,2,3,7,6,1]=>001111 [5,4,2,6,1,3,7]=>001110 [5,4,2,6,1,7,3]=>001111 [5,4,2,6,3,1,7]=>011110 [5,4,2,6,3,7,1]=>001111 [5,4,2,6,7,1,3]=>001101 [5,4,2,6,7,3,1]=>011101 [5,4,2,7,1,3,6]=>001101 [5,4,2,7,1,6,3]=>001111 [5,4,2,7,3,1,6]=>011101 [5,4,2,7,3,6,1]=>001111 [5,4,2,7,6,1,3]=>001111 [5,4,2,7,6,3,1]=>011111 [5,4,3,1,2,6,7]=>011100 [5,4,3,1,2,7,6]=>011101 [5,4,3,1,6,2,7]=>011110 [5,4,3,1,6,7,2]=>011101 [5,4,3,1,7,2,6]=>011101 [5,4,3,1,7,6,2]=>011111 [5,4,3,2,1,6,7]=>111100 [5,4,3,2,1,7,6]=>111101 [5,4,3,2,6,1,7]=>011110 [5,4,3,2,6,7,1]=>011101 [5,4,3,2,7,1,6]=>011101 [5,4,3,2,7,6,1]=>011111 [5,4,3,6,1,2,7]=>001110 [5,4,3,6,1,7,2]=>001111 [5,4,3,6,2,1,7]=>101110 [5,4,3,6,2,7,1]=>001111 [5,4,3,6,7,1,2]=>001101 [5,4,3,6,7,2,1]=>101101 [5,4,3,7,1,2,6]=>001101 [5,4,3,7,1,6,2]=>001111 [5,4,3,7,2,1,6]=>101101 [5,4,3,7,2,6,1]=>001111 [5,4,3,7,6,1,2]=>001111 [5,4,3,7,6,2,1]=>101111 [5,4,6,1,2,3,7]=>000110 [5,4,6,1,2,7,3]=>000111 [5,4,6,1,3,2,7]=>010110 [5,4,6,1,3,7,2]=>000111 [5,4,6,1,7,2,3]=>000111 [5,4,6,1,7,3,2]=>010111 [5,4,6,2,1,3,7]=>100110 [5,4,6,2,1,7,3]=>100111 [5,4,6,2,3,1,7]=>010110 [5,4,6,2,3,7,1]=>000111 [5,4,6,2,7,1,3]=>000111 [5,4,6,2,7,3,1]=>010111 [5,4,6,3,1,2,7]=>010110 [5,4,6,3,1,7,2]=>010111 [5,4,6,3,2,1,7]=>110110 [5,4,6,3,2,7,1]=>010111 [5,4,6,3,7,1,2]=>000111 [5,4,6,3,7,2,1]=>100111 [5,4,6,7,1,2,3]=>000101 [5,4,6,7,1,3,2]=>010101 [5,4,6,7,2,1,3]=>100101 [5,4,6,7,2,3,1]=>010101 [5,4,6,7,3,1,2]=>010101 [5,4,6,7,3,2,1]=>110101 [5,4,7,1,2,3,6]=>000101 [5,4,7,1,2,6,3]=>000111 [5,4,7,1,3,2,6]=>010101 [5,4,7,1,3,6,2]=>000111 [5,4,7,1,6,2,3]=>000111 [5,4,7,1,6,3,2]=>010111 [5,4,7,2,1,3,6]=>100101 [5,4,7,2,1,6,3]=>100111 [5,4,7,2,3,1,6]=>010101 [5,4,7,2,3,6,1]=>000111 [5,4,7,2,6,1,3]=>000111 [5,4,7,2,6,3,1]=>010111 [5,4,7,3,1,2,6]=>010101 [5,4,7,3,1,6,2]=>010111 [5,4,7,3,2,1,6]=>110101 [5,4,7,3,2,6,1]=>010111 [5,4,7,3,6,1,2]=>000111 [5,4,7,3,6,2,1]=>100111 [5,4,7,6,1,2,3]=>000111 [5,4,7,6,1,3,2]=>010111 [5,4,7,6,2,1,3]=>100111 [5,4,7,6,2,3,1]=>010111 [5,4,7,6,3,1,2]=>010111 [5,4,7,6,3,2,1]=>110111 [5,6,1,2,3,4,7]=>000010 [5,6,1,2,3,7,4]=>000011 [5,6,1,2,4,3,7]=>001010 [5,6,1,2,4,7,3]=>000011 [5,6,1,2,7,3,4]=>000011 [5,6,1,2,7,4,3]=>001011 [5,6,1,3,2,4,7]=>010010 [5,6,1,3,2,7,4]=>010011 [5,6,1,3,4,2,7]=>001010 [5,6,1,3,4,7,2]=>000011 [5,6,1,3,7,2,4]=>000011 [5,6,1,3,7,4,2]=>001011 [5,6,1,4,2,3,7]=>001010 [5,6,1,4,2,7,3]=>001011 [5,6,1,4,3,2,7]=>011010 [5,6,1,4,3,7,2]=>001011 [5,6,1,4,7,2,3]=>000011 [5,6,1,4,7,3,2]=>010011 [5,6,1,7,2,3,4]=>000011 [5,6,1,7,2,4,3]=>001011 [5,6,1,7,3,2,4]=>010011 [5,6,1,7,3,4,2]=>001011 [5,6,1,7,4,2,3]=>001011 [5,6,1,7,4,3,2]=>011011 [5,6,2,1,3,4,7]=>100010 [5,6,2,1,3,7,4]=>100011 [5,6,2,1,4,3,7]=>101010 [5,6,2,1,4,7,3]=>100011 [5,6,2,1,7,3,4]=>100011 [5,6,2,1,7,4,3]=>101011 [5,6,2,3,1,4,7]=>010010 [5,6,2,3,1,7,4]=>010011 [5,6,2,3,4,1,7]=>001010 [5,6,2,3,4,7,1]=>000011 [5,6,2,3,7,1,4]=>000011 [5,6,2,3,7,4,1]=>001011 [5,6,2,4,1,3,7]=>001010 [5,6,2,4,1,7,3]=>001011 [5,6,2,4,3,1,7]=>011010 [5,6,2,4,3,7,1]=>001011 [5,6,2,4,7,1,3]=>000011 [5,6,2,4,7,3,1]=>010011 [5,6,2,7,1,3,4]=>000011 [5,6,2,7,1,4,3]=>001011 [5,6,2,7,3,1,4]=>010011 [5,6,2,7,3,4,1]=>001011 [5,6,2,7,4,1,3]=>001011 [5,6,2,7,4,3,1]=>011011 [5,6,3,1,2,4,7]=>010010 [5,6,3,1,2,7,4]=>010011 [5,6,3,1,4,2,7]=>011010 [5,6,3,1,4,7,2]=>010011 [5,6,3,1,7,2,4]=>010011 [5,6,3,1,7,4,2]=>011011 [5,6,3,2,1,4,7]=>110010 [5,6,3,2,1,7,4]=>110011 [5,6,3,2,4,1,7]=>011010 [5,6,3,2,4,7,1]=>010011 [5,6,3,2,7,1,4]=>010011 [5,6,3,2,7,4,1]=>011011 [5,6,3,4,1,2,7]=>001010 [5,6,3,4,1,7,2]=>001011 [5,6,3,4,2,1,7]=>101010 [5,6,3,4,2,7,1]=>001011 [5,6,3,4,7,1,2]=>000011 [5,6,3,4,7,2,1]=>100011 [5,6,3,7,1,2,4]=>000011 [5,6,3,7,1,4,2]=>001011 [5,6,3,7,2,1,4]=>100011 [5,6,3,7,2,4,1]=>001011 [5,6,3,7,4,1,2]=>001011 [5,6,3,7,4,2,1]=>101011 [5,6,4,1,2,3,7]=>001010 [5,6,4,1,2,7,3]=>001011 [5,6,4,1,3,2,7]=>011010 [5,6,4,1,3,7,2]=>001011 [5,6,4,1,7,2,3]=>001011 [5,6,4,1,7,3,2]=>011011 [5,6,4,2,1,3,7]=>101010 [5,6,4,2,1,7,3]=>101011 [5,6,4,2,3,1,7]=>011010 [5,6,4,2,3,7,1]=>001011 [5,6,4,2,7,1,3]=>001011 [5,6,4,2,7,3,1]=>011011 [5,6,4,3,1,2,7]=>011010 [5,6,4,3,1,7,2]=>011011 [5,6,4,3,2,1,7]=>111010 [5,6,4,3,2,7,1]=>011011 [5,6,4,3,7,1,2]=>001011 [5,6,4,3,7,2,1]=>101011 [5,6,4,7,1,2,3]=>000011 [5,6,4,7,1,3,2]=>010011 [5,6,4,7,2,1,3]=>100011 [5,6,4,7,2,3,1]=>010011 [5,6,4,7,3,1,2]=>010011 [5,6,4,7,3,2,1]=>110011 [5,6,7,1,2,3,4]=>000001 [5,6,7,1,2,4,3]=>001001 [5,6,7,1,3,2,4]=>010001 [5,6,7,1,3,4,2]=>001001 [5,6,7,1,4,2,3]=>001001 [5,6,7,1,4,3,2]=>011001 [5,6,7,2,1,3,4]=>100001 [5,6,7,2,1,4,3]=>101001 [5,6,7,2,3,1,4]=>010001 [5,6,7,2,3,4,1]=>001001 [5,6,7,2,4,1,3]=>001001 [5,6,7,2,4,3,1]=>011001 [5,6,7,3,1,2,4]=>010001 [5,6,7,3,1,4,2]=>011001 [5,6,7,3,2,1,4]=>110001 [5,6,7,3,2,4,1]=>011001 [5,6,7,3,4,1,2]=>001001 [5,6,7,3,4,2,1]=>101001 [5,6,7,4,1,2,3]=>001001 [5,6,7,4,1,3,2]=>011001 [5,6,7,4,2,1,3]=>101001 [5,6,7,4,2,3,1]=>011001 [5,6,7,4,3,1,2]=>011001 [5,6,7,4,3,2,1]=>111001 [5,7,1,2,3,4,6]=>000001 [5,7,1,2,3,6,4]=>000011 [5,7,1,2,4,3,6]=>001001 [5,7,1,2,4,6,3]=>000011 [5,7,1,2,6,3,4]=>000011 [5,7,1,2,6,4,3]=>001011 [5,7,1,3,2,4,6]=>010001 [5,7,1,3,2,6,4]=>010011 [5,7,1,3,4,2,6]=>001001 [5,7,1,3,4,6,2]=>000011 [5,7,1,3,6,2,4]=>000011 [5,7,1,3,6,4,2]=>001011 [5,7,1,4,2,3,6]=>001001 [5,7,1,4,2,6,3]=>001011 [5,7,1,4,3,2,6]=>011001 [5,7,1,4,3,6,2]=>001011 [5,7,1,4,6,2,3]=>000011 [5,7,1,4,6,3,2]=>010011 [5,7,1,6,2,3,4]=>000011 [5,7,1,6,2,4,3]=>001011 [5,7,1,6,3,2,4]=>010011 [5,7,1,6,3,4,2]=>001011 [5,7,1,6,4,2,3]=>001011 [5,7,1,6,4,3,2]=>011011 [5,7,2,1,3,4,6]=>100001 [5,7,2,1,3,6,4]=>100011 [5,7,2,1,4,3,6]=>101001 [5,7,2,1,4,6,3]=>100011 [5,7,2,1,6,3,4]=>100011 [5,7,2,1,6,4,3]=>101011 [5,7,2,3,1,4,6]=>010001 [5,7,2,3,1,6,4]=>010011 [5,7,2,3,4,1,6]=>001001 [5,7,2,3,4,6,1]=>000011 [5,7,2,3,6,1,4]=>000011 [5,7,2,3,6,4,1]=>001011 [5,7,2,4,1,3,6]=>001001 [5,7,2,4,1,6,3]=>001011 [5,7,2,4,3,1,6]=>011001 [5,7,2,4,3,6,1]=>001011 [5,7,2,4,6,1,3]=>000011 [5,7,2,4,6,3,1]=>010011 [5,7,2,6,1,3,4]=>000011 [5,7,2,6,1,4,3]=>001011 [5,7,2,6,3,1,4]=>010011 [5,7,2,6,3,4,1]=>001011 [5,7,2,6,4,1,3]=>001011 [5,7,2,6,4,3,1]=>011011 [5,7,3,1,2,4,6]=>010001 [5,7,3,1,2,6,4]=>010011 [5,7,3,1,4,2,6]=>011001 [5,7,3,1,4,6,2]=>010011 [5,7,3,1,6,2,4]=>010011 [5,7,3,1,6,4,2]=>011011 [5,7,3,2,1,4,6]=>110001 [5,7,3,2,1,6,4]=>110011 [5,7,3,2,4,1,6]=>011001 [5,7,3,2,4,6,1]=>010011 [5,7,3,2,6,1,4]=>010011 [5,7,3,2,6,4,1]=>011011 [5,7,3,4,1,2,6]=>001001 [5,7,3,4,1,6,2]=>001011 [5,7,3,4,2,1,6]=>101001 [5,7,3,4,2,6,1]=>001011 [5,7,3,4,6,1,2]=>000011 [5,7,3,4,6,2,1]=>100011 [5,7,3,6,1,2,4]=>000011 [5,7,3,6,1,4,2]=>001011 [5,7,3,6,2,1,4]=>100011 [5,7,3,6,2,4,1]=>001011 [5,7,3,6,4,1,2]=>001011 [5,7,3,6,4,2,1]=>101011 [5,7,4,1,2,3,6]=>001001 [5,7,4,1,2,6,3]=>001011 [5,7,4,1,3,2,6]=>011001 [5,7,4,1,3,6,2]=>001011 [5,7,4,1,6,2,3]=>001011 [5,7,4,1,6,3,2]=>011011 [5,7,4,2,1,3,6]=>101001 [5,7,4,2,1,6,3]=>101011 [5,7,4,2,3,1,6]=>011001 [5,7,4,2,3,6,1]=>001011 [5,7,4,2,6,1,3]=>001011 [5,7,4,2,6,3,1]=>011011 [5,7,4,3,1,2,6]=>011001 [5,7,4,3,1,6,2]=>011011 [5,7,4,3,2,1,6]=>111001 [5,7,4,3,2,6,1]=>011011 [5,7,4,3,6,1,2]=>001011 [5,7,4,3,6,2,1]=>101011 [5,7,4,6,1,2,3]=>000011 [5,7,4,6,1,3,2]=>010011 [5,7,4,6,2,1,3]=>100011 [5,7,4,6,2,3,1]=>010011 [5,7,4,6,3,1,2]=>010011 [5,7,4,6,3,2,1]=>110011 [5,7,6,1,2,3,4]=>000011 [5,7,6,1,2,4,3]=>001011 [5,7,6,1,3,2,4]=>010011 [5,7,6,1,3,4,2]=>001011 [5,7,6,1,4,2,3]=>001011 [5,7,6,1,4,3,2]=>011011 [5,7,6,2,1,3,4]=>100011 [5,7,6,2,1,4,3]=>101011 [5,7,6,2,3,1,4]=>010011 [5,7,6,2,3,4,1]=>001011 [5,7,6,2,4,1,3]=>001011 [5,7,6,2,4,3,1]=>011011 [5,7,6,3,1,2,4]=>010011 [5,7,6,3,1,4,2]=>011011 [5,7,6,3,2,1,4]=>110011 [5,7,6,3,2,4,1]=>011011 [5,7,6,3,4,1,2]=>001011 [5,7,6,3,4,2,1]=>101011 [5,7,6,4,1,2,3]=>001011 [5,7,6,4,1,3,2]=>011011 [5,7,6,4,2,1,3]=>101011 [5,7,6,4,2,3,1]=>011011 [5,7,6,4,3,1,2]=>011011 [5,7,6,4,3,2,1]=>111011 [6,1,2,3,4,5,7]=>000010 [6,1,2,3,4,7,5]=>000011 [6,1,2,3,5,4,7]=>000110 [6,1,2,3,5,7,4]=>000011 [6,1,2,3,7,4,5]=>000011 [6,1,2,3,7,5,4]=>000111 [6,1,2,4,3,5,7]=>001010 [6,1,2,4,3,7,5]=>001011 [6,1,2,4,5,3,7]=>000110 [6,1,2,4,5,7,3]=>000011 [6,1,2,4,7,3,5]=>000011 [6,1,2,4,7,5,3]=>000111 [6,1,2,5,3,4,7]=>000110 [6,1,2,5,3,7,4]=>000111 [6,1,2,5,4,3,7]=>001110 [6,1,2,5,4,7,3]=>000111 [6,1,2,5,7,3,4]=>000011 [6,1,2,5,7,4,3]=>001011 [6,1,2,7,3,4,5]=>000011 [6,1,2,7,3,5,4]=>000111 [6,1,2,7,4,3,5]=>001011 [6,1,2,7,4,5,3]=>000111 [6,1,2,7,5,3,4]=>000111 [6,1,2,7,5,4,3]=>001111 [6,1,3,2,4,5,7]=>010010 [6,1,3,2,4,7,5]=>010011 [6,1,3,2,5,4,7]=>010110 [6,1,3,2,5,7,4]=>010011 [6,1,3,2,7,4,5]=>010011 [6,1,3,2,7,5,4]=>010111 [6,1,3,4,2,5,7]=>001010 [6,1,3,4,2,7,5]=>001011 [6,1,3,4,5,2,7]=>000110 [6,1,3,4,5,7,2]=>000011 [6,1,3,4,7,2,5]=>000011 [6,1,3,4,7,5,2]=>000111 [6,1,3,5,2,4,7]=>000110 [6,1,3,5,2,7,4]=>000111 [6,1,3,5,4,2,7]=>001110 [6,1,3,5,4,7,2]=>000111 [6,1,3,5,7,2,4]=>000011 [6,1,3,5,7,4,2]=>001011 [6,1,3,7,2,4,5]=>000011 [6,1,3,7,2,5,4]=>000111 [6,1,3,7,4,2,5]=>001011 [6,1,3,7,4,5,2]=>000111 [6,1,3,7,5,2,4]=>000111 [6,1,3,7,5,4,2]=>001111 [6,1,4,2,3,5,7]=>001010 [6,1,4,2,3,7,5]=>001011 [6,1,4,2,5,3,7]=>001110 [6,1,4,2,5,7,3]=>001011 [6,1,4,2,7,3,5]=>001011 [6,1,4,2,7,5,3]=>001111 [6,1,4,3,2,5,7]=>011010 [6,1,4,3,2,7,5]=>011011 [6,1,4,3,5,2,7]=>001110 [6,1,4,3,5,7,2]=>001011 [6,1,4,3,7,2,5]=>001011 [6,1,4,3,7,5,2]=>001111 [6,1,4,5,2,3,7]=>000110 [6,1,4,5,2,7,3]=>000111 [6,1,4,5,3,2,7]=>010110 [6,1,4,5,3,7,2]=>000111 [6,1,4,5,7,2,3]=>000011 [6,1,4,5,7,3,2]=>010011 [6,1,4,7,2,3,5]=>000011 [6,1,4,7,2,5,3]=>000111 [6,1,4,7,3,2,5]=>010011 [6,1,4,7,3,5,2]=>000111 [6,1,4,7,5,2,3]=>000111 [6,1,4,7,5,3,2]=>010111 [6,1,5,2,3,4,7]=>000110 [6,1,5,2,3,7,4]=>000111 [6,1,5,2,4,3,7]=>001110 [6,1,5,2,4,7,3]=>000111 [6,1,5,2,7,3,4]=>000111 [6,1,5,2,7,4,3]=>001111 [6,1,5,3,2,4,7]=>010110 [6,1,5,3,2,7,4]=>010111 [6,1,5,3,4,2,7]=>001110 [6,1,5,3,4,7,2]=>000111 [6,1,5,3,7,2,4]=>000111 [6,1,5,3,7,4,2]=>001111 [6,1,5,4,2,3,7]=>001110 [6,1,5,4,2,7,3]=>001111 [6,1,5,4,3,2,7]=>011110 [6,1,5,4,3,7,2]=>001111 [6,1,5,4,7,2,3]=>000111 [6,1,5,4,7,3,2]=>010111 [6,1,5,7,2,3,4]=>000011 [6,1,5,7,2,4,3]=>001011 [6,1,5,7,3,2,4]=>010011 [6,1,5,7,3,4,2]=>001011 [6,1,5,7,4,2,3]=>001011 [6,1,5,7,4,3,2]=>011011 [6,1,7,2,3,4,5]=>000011 [6,1,7,2,3,5,4]=>000111 [6,1,7,2,4,3,5]=>001011 [6,1,7,2,4,5,3]=>000111 [6,1,7,2,5,3,4]=>000111 [6,1,7,2,5,4,3]=>001111 [6,1,7,3,2,4,5]=>010011 [6,1,7,3,2,5,4]=>010111 [6,1,7,3,4,2,5]=>001011 [6,1,7,3,4,5,2]=>000111 [6,1,7,3,5,2,4]=>000111 [6,1,7,3,5,4,2]=>001111 [6,1,7,4,2,3,5]=>001011 [6,1,7,4,2,5,3]=>001111 [6,1,7,4,3,2,5]=>011011 [6,1,7,4,3,5,2]=>001111 [6,1,7,4,5,2,3]=>000111 [6,1,7,4,5,3,2]=>010111 [6,1,7,5,2,3,4]=>000111 [6,1,7,5,2,4,3]=>001111 [6,1,7,5,3,2,4]=>010111 [6,1,7,5,3,4,2]=>001111 [6,1,7,5,4,2,3]=>001111 [6,1,7,5,4,3,2]=>011111 [6,2,1,3,4,5,7]=>100010 [6,2,1,3,4,7,5]=>100011 [6,2,1,3,5,4,7]=>100110 [6,2,1,3,5,7,4]=>100011 [6,2,1,3,7,4,5]=>100011 [6,2,1,3,7,5,4]=>100111 [6,2,1,4,3,5,7]=>101010 [6,2,1,4,3,7,5]=>101011 [6,2,1,4,5,3,7]=>100110 [6,2,1,4,5,7,3]=>100011 [6,2,1,4,7,3,5]=>100011 [6,2,1,4,7,5,3]=>100111 [6,2,1,5,3,4,7]=>100110 [6,2,1,5,3,7,4]=>100111 [6,2,1,5,4,3,7]=>101110 [6,2,1,5,4,7,3]=>100111 [6,2,1,5,7,3,4]=>100011 [6,2,1,5,7,4,3]=>101011 [6,2,1,7,3,4,5]=>100011 [6,2,1,7,3,5,4]=>100111 [6,2,1,7,4,3,5]=>101011 [6,2,1,7,4,5,3]=>100111 [6,2,1,7,5,3,4]=>100111 [6,2,1,7,5,4,3]=>101111 [6,2,3,1,4,5,7]=>010010 [6,2,3,1,4,7,5]=>010011 [6,2,3,1,5,4,7]=>010110 [6,2,3,1,5,7,4]=>010011 [6,2,3,1,7,4,5]=>010011 [6,2,3,1,7,5,4]=>010111 [6,2,3,4,1,5,7]=>001010 [6,2,3,4,1,7,5]=>001011 [6,2,3,4,5,1,7]=>000110 [6,2,3,4,5,7,1]=>000011 [6,2,3,4,7,1,5]=>000011 [6,2,3,4,7,5,1]=>000111 [6,2,3,5,1,4,7]=>000110 [6,2,3,5,1,7,4]=>000111 [6,2,3,5,4,1,7]=>001110 [6,2,3,5,4,7,1]=>000111 [6,2,3,5,7,1,4]=>000011 [6,2,3,5,7,4,1]=>001011 [6,2,3,7,1,4,5]=>000011 [6,2,3,7,1,5,4]=>000111 [6,2,3,7,4,1,5]=>001011 [6,2,3,7,4,5,1]=>000111 [6,2,3,7,5,1,4]=>000111 [6,2,3,7,5,4,1]=>001111 [6,2,4,1,3,5,7]=>001010 [6,2,4,1,3,7,5]=>001011 [6,2,4,1,5,3,7]=>001110 [6,2,4,1,5,7,3]=>001011 [6,2,4,1,7,3,5]=>001011 [6,2,4,1,7,5,3]=>001111 [6,2,4,3,1,5,7]=>011010 [6,2,4,3,1,7,5]=>011011 [6,2,4,3,5,1,7]=>001110 [6,2,4,3,5,7,1]=>001011 [6,2,4,3,7,1,5]=>001011 [6,2,4,3,7,5,1]=>001111 [6,2,4,5,1,3,7]=>000110 [6,2,4,5,1,7,3]=>000111 [6,2,4,5,3,1,7]=>010110 [6,2,4,5,3,7,1]=>000111 [6,2,4,5,7,1,3]=>000011 [6,2,4,5,7,3,1]=>010011 [6,2,4,7,1,3,5]=>000011 [6,2,4,7,1,5,3]=>000111 [6,2,4,7,3,1,5]=>010011 [6,2,4,7,3,5,1]=>000111 [6,2,4,7,5,1,3]=>000111 [6,2,4,7,5,3,1]=>010111 [6,2,5,1,3,4,7]=>000110 [6,2,5,1,3,7,4]=>000111 [6,2,5,1,4,3,7]=>001110 [6,2,5,1,4,7,3]=>000111 [6,2,5,1,7,3,4]=>000111 [6,2,5,1,7,4,3]=>001111 [6,2,5,3,1,4,7]=>010110 [6,2,5,3,1,7,4]=>010111 [6,2,5,3,4,1,7]=>001110 [6,2,5,3,4,7,1]=>000111 [6,2,5,3,7,1,4]=>000111 [6,2,5,3,7,4,1]=>001111 [6,2,5,4,1,3,7]=>001110 [6,2,5,4,1,7,3]=>001111 [6,2,5,4,3,1,7]=>011110 [6,2,5,4,3,7,1]=>001111 [6,2,5,4,7,1,3]=>000111 [6,2,5,4,7,3,1]=>010111 [6,2,5,7,1,3,4]=>000011 [6,2,5,7,1,4,3]=>001011 [6,2,5,7,3,1,4]=>010011 [6,2,5,7,3,4,1]=>001011 [6,2,5,7,4,1,3]=>001011 [6,2,5,7,4,3,1]=>011011 [6,2,7,1,3,4,5]=>000011 [6,2,7,1,3,5,4]=>000111 [6,2,7,1,4,3,5]=>001011 [6,2,7,1,4,5,3]=>000111 [6,2,7,1,5,3,4]=>000111 [6,2,7,1,5,4,3]=>001111 [6,2,7,3,1,4,5]=>010011 [6,2,7,3,1,5,4]=>010111 [6,2,7,3,4,1,5]=>001011 [6,2,7,3,4,5,1]=>000111 [6,2,7,3,5,1,4]=>000111 [6,2,7,3,5,4,1]=>001111 [6,2,7,4,1,3,5]=>001011 [6,2,7,4,1,5,3]=>001111 [6,2,7,4,3,1,5]=>011011 [6,2,7,4,3,5,1]=>001111 [6,2,7,4,5,1,3]=>000111 [6,2,7,4,5,3,1]=>010111 [6,2,7,5,1,3,4]=>000111 [6,2,7,5,1,4,3]=>001111 [6,2,7,5,3,1,4]=>010111 [6,2,7,5,3,4,1]=>001111 [6,2,7,5,4,1,3]=>001111 [6,2,7,5,4,3,1]=>011111 [6,3,1,2,4,5,7]=>010010 [6,3,1,2,4,7,5]=>010011 [6,3,1,2,5,4,7]=>010110 [6,3,1,2,5,7,4]=>010011 [6,3,1,2,7,4,5]=>010011 [6,3,1,2,7,5,4]=>010111 [6,3,1,4,2,5,7]=>011010 [6,3,1,4,2,7,5]=>011011 [6,3,1,4,5,2,7]=>010110 [6,3,1,4,5,7,2]=>010011 [6,3,1,4,7,2,5]=>010011 [6,3,1,4,7,5,2]=>010111 [6,3,1,5,2,4,7]=>010110 [6,3,1,5,2,7,4]=>010111 [6,3,1,5,4,2,7]=>011110 [6,3,1,5,4,7,2]=>010111 [6,3,1,5,7,2,4]=>010011 [6,3,1,5,7,4,2]=>011011 [6,3,1,7,2,4,5]=>010011 [6,3,1,7,2,5,4]=>010111 [6,3,1,7,4,2,5]=>011011 [6,3,1,7,4,5,2]=>010111 [6,3,1,7,5,2,4]=>010111 [6,3,1,7,5,4,2]=>011111 [6,3,2,1,4,5,7]=>110010 [6,3,2,1,4,7,5]=>110011 [6,3,2,1,5,4,7]=>110110 [6,3,2,1,5,7,4]=>110011 [6,3,2,1,7,4,5]=>110011 [6,3,2,1,7,5,4]=>110111 [6,3,2,4,1,5,7]=>011010 [6,3,2,4,1,7,5]=>011011 [6,3,2,4,5,1,7]=>010110 [6,3,2,4,5,7,1]=>010011 [6,3,2,4,7,1,5]=>010011 [6,3,2,4,7,5,1]=>010111 [6,3,2,5,1,4,7]=>010110 [6,3,2,5,1,7,4]=>010111 [6,3,2,5,4,1,7]=>011110 [6,3,2,5,4,7,1]=>010111 [6,3,2,5,7,1,4]=>010011 [6,3,2,5,7,4,1]=>011011 [6,3,2,7,1,4,5]=>010011 [6,3,2,7,1,5,4]=>010111 [6,3,2,7,4,1,5]=>011011 [6,3,2,7,4,5,1]=>010111 [6,3,2,7,5,1,4]=>010111 [6,3,2,7,5,4,1]=>011111 [6,3,4,1,2,5,7]=>001010 [6,3,4,1,2,7,5]=>001011 [6,3,4,1,5,2,7]=>001110 [6,3,4,1,5,7,2]=>001011 [6,3,4,1,7,2,5]=>001011 [6,3,4,1,7,5,2]=>001111 [6,3,4,2,1,5,7]=>101010 [6,3,4,2,1,7,5]=>101011 [6,3,4,2,5,1,7]=>001110 [6,3,4,2,5,7,1]=>001011 [6,3,4,2,7,1,5]=>001011 [6,3,4,2,7,5,1]=>001111 [6,3,4,5,1,2,7]=>000110 [6,3,4,5,1,7,2]=>000111 [6,3,4,5,2,1,7]=>100110 [6,3,4,5,2,7,1]=>000111 [6,3,4,5,7,1,2]=>000011 [6,3,4,5,7,2,1]=>100011 [6,3,4,7,1,2,5]=>000011 [6,3,4,7,1,5,2]=>000111 [6,3,4,7,2,1,5]=>100011 [6,3,4,7,2,5,1]=>000111 [6,3,4,7,5,1,2]=>000111 [6,3,4,7,5,2,1]=>100111 [6,3,5,1,2,4,7]=>000110 [6,3,5,1,2,7,4]=>000111 [6,3,5,1,4,2,7]=>001110 [6,3,5,1,4,7,2]=>000111 [6,3,5,1,7,2,4]=>000111 [6,3,5,1,7,4,2]=>001111 [6,3,5,2,1,4,7]=>100110 [6,3,5,2,1,7,4]=>100111 [6,3,5,2,4,1,7]=>001110 [6,3,5,2,4,7,1]=>000111 [6,3,5,2,7,1,4]=>000111 [6,3,5,2,7,4,1]=>001111 [6,3,5,4,1,2,7]=>001110 [6,3,5,4,1,7,2]=>001111 [6,3,5,4,2,1,7]=>101110 [6,3,5,4,2,7,1]=>001111 [6,3,5,4,7,1,2]=>000111 [6,3,5,4,7,2,1]=>100111 [6,3,5,7,1,2,4]=>000011 [6,3,5,7,1,4,2]=>001011 [6,3,5,7,2,1,4]=>100011 [6,3,5,7,2,4,1]=>001011 [6,3,5,7,4,1,2]=>001011 [6,3,5,7,4,2,1]=>101011 [6,3,7,1,2,4,5]=>000011 [6,3,7,1,2,5,4]=>000111 [6,3,7,1,4,2,5]=>001011 [6,3,7,1,4,5,2]=>000111 [6,3,7,1,5,2,4]=>000111 [6,3,7,1,5,4,2]=>001111 [6,3,7,2,1,4,5]=>100011 [6,3,7,2,1,5,4]=>100111 [6,3,7,2,4,1,5]=>001011 [6,3,7,2,4,5,1]=>000111 [6,3,7,2,5,1,4]=>000111 [6,3,7,2,5,4,1]=>001111 [6,3,7,4,1,2,5]=>001011 [6,3,7,4,1,5,2]=>001111 [6,3,7,4,2,1,5]=>101011 [6,3,7,4,2,5,1]=>001111 [6,3,7,4,5,1,2]=>000111 [6,3,7,4,5,2,1]=>100111 [6,3,7,5,1,2,4]=>000111 [6,3,7,5,1,4,2]=>001111 [6,3,7,5,2,1,4]=>100111 [6,3,7,5,2,4,1]=>001111 [6,3,7,5,4,1,2]=>001111 [6,3,7,5,4,2,1]=>101111 [6,4,1,2,3,5,7]=>001010 [6,4,1,2,3,7,5]=>001011 [6,4,1,2,5,3,7]=>001110 [6,4,1,2,5,7,3]=>001011 [6,4,1,2,7,3,5]=>001011 [6,4,1,2,7,5,3]=>001111 [6,4,1,3,2,5,7]=>011010 [6,4,1,3,2,7,5]=>011011 [6,4,1,3,5,2,7]=>001110 [6,4,1,3,5,7,2]=>001011 [6,4,1,3,7,2,5]=>001011 [6,4,1,3,7,5,2]=>001111 [6,4,1,5,2,3,7]=>001110 [6,4,1,5,2,7,3]=>001111 [6,4,1,5,3,2,7]=>011110 [6,4,1,5,3,7,2]=>001111 [6,4,1,5,7,2,3]=>001011 [6,4,1,5,7,3,2]=>011011 [6,4,1,7,2,3,5]=>001011 [6,4,1,7,2,5,3]=>001111 [6,4,1,7,3,2,5]=>011011 [6,4,1,7,3,5,2]=>001111 [6,4,1,7,5,2,3]=>001111 [6,4,1,7,5,3,2]=>011111 [6,4,2,1,3,5,7]=>101010 [6,4,2,1,3,7,5]=>101011 [6,4,2,1,5,3,7]=>101110 [6,4,2,1,5,7,3]=>101011 [6,4,2,1,7,3,5]=>101011 [6,4,2,1,7,5,3]=>101111 [6,4,2,3,1,5,7]=>011010 [6,4,2,3,1,7,5]=>011011 [6,4,2,3,5,1,7]=>001110 [6,4,2,3,5,7,1]=>001011 [6,4,2,3,7,1,5]=>001011 [6,4,2,3,7,5,1]=>001111 [6,4,2,5,1,3,7]=>001110 [6,4,2,5,1,7,3]=>001111 [6,4,2,5,3,1,7]=>011110 [6,4,2,5,3,7,1]=>001111 [6,4,2,5,7,1,3]=>001011 [6,4,2,5,7,3,1]=>011011 [6,4,2,7,1,3,5]=>001011 [6,4,2,7,1,5,3]=>001111 [6,4,2,7,3,1,5]=>011011 [6,4,2,7,3,5,1]=>001111 [6,4,2,7,5,1,3]=>001111 [6,4,2,7,5,3,1]=>011111 [6,4,3,1,2,5,7]=>011010 [6,4,3,1,2,7,5]=>011011 [6,4,3,1,5,2,7]=>011110 [6,4,3,1,5,7,2]=>011011 [6,4,3,1,7,2,5]=>011011 [6,4,3,1,7,5,2]=>011111 [6,4,3,2,1,5,7]=>111010 [6,4,3,2,1,7,5]=>111011 [6,4,3,2,5,1,7]=>011110 [6,4,3,2,5,7,1]=>011011 [6,4,3,2,7,1,5]=>011011 [6,4,3,2,7,5,1]=>011111 [6,4,3,5,1,2,7]=>001110 [6,4,3,5,1,7,2]=>001111 [6,4,3,5,2,1,7]=>101110 [6,4,3,5,2,7,1]=>001111 [6,4,3,5,7,1,2]=>001011 [6,4,3,5,7,2,1]=>101011 [6,4,3,7,1,2,5]=>001011 [6,4,3,7,1,5,2]=>001111 [6,4,3,7,2,1,5]=>101011 [6,4,3,7,2,5,1]=>001111 [6,4,3,7,5,1,2]=>001111 [6,4,3,7,5,2,1]=>101111 [6,4,5,1,2,3,7]=>000110 [6,4,5,1,2,7,3]=>000111 [6,4,5,1,3,2,7]=>010110 [6,4,5,1,3,7,2]=>000111 [6,4,5,1,7,2,3]=>000111 [6,4,5,1,7,3,2]=>010111 [6,4,5,2,1,3,7]=>100110 [6,4,5,2,1,7,3]=>100111 [6,4,5,2,3,1,7]=>010110 [6,4,5,2,3,7,1]=>000111 [6,4,5,2,7,1,3]=>000111 [6,4,5,2,7,3,1]=>010111 [6,4,5,3,1,2,7]=>010110 [6,4,5,3,1,7,2]=>010111 [6,4,5,3,2,1,7]=>110110 [6,4,5,3,2,7,1]=>010111 [6,4,5,3,7,1,2]=>000111 [6,4,5,3,7,2,1]=>100111 [6,4,5,7,1,2,3]=>000011 [6,4,5,7,1,3,2]=>010011 [6,4,5,7,2,1,3]=>100011 [6,4,5,7,2,3,1]=>010011 [6,4,5,7,3,1,2]=>010011 [6,4,5,7,3,2,1]=>110011 [6,4,7,1,2,3,5]=>000011 [6,4,7,1,2,5,3]=>000111 [6,4,7,1,3,2,5]=>010011 [6,4,7,1,3,5,2]=>000111 [6,4,7,1,5,2,3]=>000111 [6,4,7,1,5,3,2]=>010111 [6,4,7,2,1,3,5]=>100011 [6,4,7,2,1,5,3]=>100111 [6,4,7,2,3,1,5]=>010011 [6,4,7,2,3,5,1]=>000111 [6,4,7,2,5,1,3]=>000111 [6,4,7,2,5,3,1]=>010111 [6,4,7,3,1,2,5]=>010011 [6,4,7,3,1,5,2]=>010111 [6,4,7,3,2,1,5]=>110011 [6,4,7,3,2,5,1]=>010111 [6,4,7,3,5,1,2]=>000111 [6,4,7,3,5,2,1]=>100111 [6,4,7,5,1,2,3]=>000111 [6,4,7,5,1,3,2]=>010111 [6,4,7,5,2,1,3]=>100111 [6,4,7,5,2,3,1]=>010111 [6,4,7,5,3,1,2]=>010111 [6,4,7,5,3,2,1]=>110111 [6,5,1,2,3,4,7]=>000110 [6,5,1,2,3,7,4]=>000111 [6,5,1,2,4,3,7]=>001110 [6,5,1,2,4,7,3]=>000111 [6,5,1,2,7,3,4]=>000111 [6,5,1,2,7,4,3]=>001111 [6,5,1,3,2,4,7]=>010110 [6,5,1,3,2,7,4]=>010111 [6,5,1,3,4,2,7]=>001110 [6,5,1,3,4,7,2]=>000111 [6,5,1,3,7,2,4]=>000111 [6,5,1,3,7,4,2]=>001111 [6,5,1,4,2,3,7]=>001110 [6,5,1,4,2,7,3]=>001111 [6,5,1,4,3,2,7]=>011110 [6,5,1,4,3,7,2]=>001111 [6,5,1,4,7,2,3]=>000111 [6,5,1,4,7,3,2]=>010111 [6,5,1,7,2,3,4]=>000111 [6,5,1,7,2,4,3]=>001111 [6,5,1,7,3,2,4]=>010111 [6,5,1,7,3,4,2]=>001111 [6,5,1,7,4,2,3]=>001111 [6,5,1,7,4,3,2]=>011111 [6,5,2,1,3,4,7]=>100110 [6,5,2,1,3,7,4]=>100111 [6,5,2,1,4,3,7]=>101110 [6,5,2,1,4,7,3]=>100111 [6,5,2,1,7,3,4]=>100111 [6,5,2,1,7,4,3]=>101111 [6,5,2,3,1,4,7]=>010110 [6,5,2,3,1,7,4]=>010111 [6,5,2,3,4,1,7]=>001110 [6,5,2,3,4,7,1]=>000111 [6,5,2,3,7,1,4]=>000111 [6,5,2,3,7,4,1]=>001111 [6,5,2,4,1,3,7]=>001110 [6,5,2,4,1,7,3]=>001111 [6,5,2,4,3,1,7]=>011110 [6,5,2,4,3,7,1]=>001111 [6,5,2,4,7,1,3]=>000111 [6,5,2,4,7,3,1]=>010111 [6,5,2,7,1,3,4]=>000111 [6,5,2,7,1,4,3]=>001111 [6,5,2,7,3,1,4]=>010111 [6,5,2,7,3,4,1]=>001111 [6,5,2,7,4,1,3]=>001111 [6,5,2,7,4,3,1]=>011111 [6,5,3,1,2,4,7]=>010110 [6,5,3,1,2,7,4]=>010111 [6,5,3,1,4,2,7]=>011110 [6,5,3,1,4,7,2]=>010111 [6,5,3,1,7,2,4]=>010111 [6,5,3,1,7,4,2]=>011111 [6,5,3,2,1,4,7]=>110110 [6,5,3,2,1,7,4]=>110111 [6,5,3,2,4,1,7]=>011110 [6,5,3,2,4,7,1]=>010111 [6,5,3,2,7,1,4]=>010111 [6,5,3,2,7,4,1]=>011111 [6,5,3,4,1,2,7]=>001110 [6,5,3,4,1,7,2]=>001111 [6,5,3,4,2,1,7]=>101110 [6,5,3,4,2,7,1]=>001111 [6,5,3,4,7,1,2]=>000111 [6,5,3,4,7,2,1]=>100111 [6,5,3,7,1,2,4]=>000111 [6,5,3,7,1,4,2]=>001111 [6,5,3,7,2,1,4]=>100111 [6,5,3,7,2,4,1]=>001111 [6,5,3,7,4,1,2]=>001111 [6,5,3,7,4,2,1]=>101111 [6,5,4,1,2,3,7]=>001110 [6,5,4,1,2,7,3]=>001111 [6,5,4,1,3,2,7]=>011110 [6,5,4,1,3,7,2]=>001111 [6,5,4,1,7,2,3]=>001111 [6,5,4,1,7,3,2]=>011111 [6,5,4,2,1,3,7]=>101110 [6,5,4,2,1,7,3]=>101111 [6,5,4,2,3,1,7]=>011110 [6,5,4,2,3,7,1]=>001111 [6,5,4,2,7,1,3]=>001111 [6,5,4,2,7,3,1]=>011111 [6,5,4,3,1,2,7]=>011110 [6,5,4,3,1,7,2]=>011111 [6,5,4,3,2,1,7]=>111110 [6,5,4,3,2,7,1]=>011111 [6,5,4,3,7,1,2]=>001111 [6,5,4,3,7,2,1]=>101111 [6,5,4,7,1,2,3]=>000111 [6,5,4,7,1,3,2]=>010111 [6,5,4,7,2,1,3]=>100111 [6,5,4,7,2,3,1]=>010111 [6,5,4,7,3,1,2]=>010111 [6,5,4,7,3,2,1]=>110111 [6,5,7,1,2,3,4]=>000011 [6,5,7,1,2,4,3]=>001011 [6,5,7,1,3,2,4]=>010011 [6,5,7,1,3,4,2]=>001011 [6,5,7,1,4,2,3]=>001011 [6,5,7,1,4,3,2]=>011011 [6,5,7,2,1,3,4]=>100011 [6,5,7,2,1,4,3]=>101011 [6,5,7,2,3,1,4]=>010011 [6,5,7,2,3,4,1]=>001011 [6,5,7,2,4,1,3]=>001011 [6,5,7,2,4,3,1]=>011011 [6,5,7,3,1,2,4]=>010011 [6,5,7,3,1,4,2]=>011011 [6,5,7,3,2,1,4]=>110011 [6,5,7,3,2,4,1]=>011011 [6,5,7,3,4,1,2]=>001011 [6,5,7,3,4,2,1]=>101011 [6,5,7,4,1,2,3]=>001011 [6,5,7,4,1,3,2]=>011011 [6,5,7,4,2,1,3]=>101011 [6,5,7,4,2,3,1]=>011011 [6,5,7,4,3,1,2]=>011011 [6,5,7,4,3,2,1]=>111011 [6,7,1,2,3,4,5]=>000001 [6,7,1,2,3,5,4]=>000101 [6,7,1,2,4,3,5]=>001001 [6,7,1,2,4,5,3]=>000101 [6,7,1,2,5,3,4]=>000101 [6,7,1,2,5,4,3]=>001101 [6,7,1,3,2,4,5]=>010001 [6,7,1,3,2,5,4]=>010101 [6,7,1,3,4,2,5]=>001001 [6,7,1,3,4,5,2]=>000101 [6,7,1,3,5,2,4]=>000101 [6,7,1,3,5,4,2]=>001101 [6,7,1,4,2,3,5]=>001001 [6,7,1,4,2,5,3]=>001101 [6,7,1,4,3,2,5]=>011001 [6,7,1,4,3,5,2]=>001101 [6,7,1,4,5,2,3]=>000101 [6,7,1,4,5,3,2]=>010101 [6,7,1,5,2,3,4]=>000101 [6,7,1,5,2,4,3]=>001101 [6,7,1,5,3,2,4]=>010101 [6,7,1,5,3,4,2]=>001101 [6,7,1,5,4,2,3]=>001101 [6,7,1,5,4,3,2]=>011101 [6,7,2,1,3,4,5]=>100001 [6,7,2,1,3,5,4]=>100101 [6,7,2,1,4,3,5]=>101001 [6,7,2,1,4,5,3]=>100101 [6,7,2,1,5,3,4]=>100101 [6,7,2,1,5,4,3]=>101101 [6,7,2,3,1,4,5]=>010001 [6,7,2,3,1,5,4]=>010101 [6,7,2,3,4,1,5]=>001001 [6,7,2,3,4,5,1]=>000101 [6,7,2,3,5,1,4]=>000101 [6,7,2,3,5,4,1]=>001101 [6,7,2,4,1,3,5]=>001001 [6,7,2,4,1,5,3]=>001101 [6,7,2,4,3,1,5]=>011001 [6,7,2,4,3,5,1]=>001101 [6,7,2,4,5,1,3]=>000101 [6,7,2,4,5,3,1]=>010101 [6,7,2,5,1,3,4]=>000101 [6,7,2,5,1,4,3]=>001101 [6,7,2,5,3,1,4]=>010101 [6,7,2,5,3,4,1]=>001101 [6,7,2,5,4,1,3]=>001101 [6,7,2,5,4,3,1]=>011101 [6,7,3,1,2,4,5]=>010001 [6,7,3,1,2,5,4]=>010101 [6,7,3,1,4,2,5]=>011001 [6,7,3,1,4,5,2]=>010101 [6,7,3,1,5,2,4]=>010101 [6,7,3,1,5,4,2]=>011101 [6,7,3,2,1,4,5]=>110001 [6,7,3,2,1,5,4]=>110101 [6,7,3,2,4,1,5]=>011001 [6,7,3,2,4,5,1]=>010101 [6,7,3,2,5,1,4]=>010101 [6,7,3,2,5,4,1]=>011101 [6,7,3,4,1,2,5]=>001001 [6,7,3,4,1,5,2]=>001101 [6,7,3,4,2,1,5]=>101001 [6,7,3,4,2,5,1]=>001101 [6,7,3,4,5,1,2]=>000101 [6,7,3,4,5,2,1]=>100101 [6,7,3,5,1,2,4]=>000101 [6,7,3,5,1,4,2]=>001101 [6,7,3,5,2,1,4]=>100101 [6,7,3,5,2,4,1]=>001101 [6,7,3,5,4,1,2]=>001101 [6,7,3,5,4,2,1]=>101101 [6,7,4,1,2,3,5]=>001001 [6,7,4,1,2,5,3]=>001101 [6,7,4,1,3,2,5]=>011001 [6,7,4,1,3,5,2]=>001101 [6,7,4,1,5,2,3]=>001101 [6,7,4,1,5,3,2]=>011101 [6,7,4,2,1,3,5]=>101001 [6,7,4,2,1,5,3]=>101101 [6,7,4,2,3,1,5]=>011001 [6,7,4,2,3,5,1]=>001101 [6,7,4,2,5,1,3]=>001101 [6,7,4,2,5,3,1]=>011101 [6,7,4,3,1,2,5]=>011001 [6,7,4,3,1,5,2]=>011101 [6,7,4,3,2,1,5]=>111001 [6,7,4,3,2,5,1]=>011101 [6,7,4,3,5,1,2]=>001101 [6,7,4,3,5,2,1]=>101101 [6,7,4,5,1,2,3]=>000101 [6,7,4,5,1,3,2]=>010101 [6,7,4,5,2,1,3]=>100101 [6,7,4,5,2,3,1]=>010101 [6,7,4,5,3,1,2]=>010101 [6,7,4,5,3,2,1]=>110101 [6,7,5,1,2,3,4]=>000101 [6,7,5,1,2,4,3]=>001101 [6,7,5,1,3,2,4]=>010101 [6,7,5,1,3,4,2]=>001101 [6,7,5,1,4,2,3]=>001101 [6,7,5,1,4,3,2]=>011101 [6,7,5,2,1,3,4]=>100101 [6,7,5,2,1,4,3]=>101101 [6,7,5,2,3,1,4]=>010101 [6,7,5,2,3,4,1]=>001101 [6,7,5,2,4,1,3]=>001101 [6,7,5,2,4,3,1]=>011101 [6,7,5,3,1,2,4]=>010101 [6,7,5,3,1,4,2]=>011101 [6,7,5,3,2,1,4]=>110101 [6,7,5,3,2,4,1]=>011101 [6,7,5,3,4,1,2]=>001101 [6,7,5,3,4,2,1]=>101101 [6,7,5,4,1,2,3]=>001101 [6,7,5,4,1,3,2]=>011101 [6,7,5,4,2,1,3]=>101101 [6,7,5,4,2,3,1]=>011101 [6,7,5,4,3,1,2]=>011101 [6,7,5,4,3,2,1]=>111101 [7,1,2,3,4,5,6]=>000001 [7,1,2,3,4,6,5]=>000011 [7,1,2,3,5,4,6]=>000101 [7,1,2,3,5,6,4]=>000011 [7,1,2,3,6,4,5]=>000011 [7,1,2,3,6,5,4]=>000111 [7,1,2,4,3,5,6]=>001001 [7,1,2,4,3,6,5]=>001011 [7,1,2,4,5,3,6]=>000101 [7,1,2,4,5,6,3]=>000011 [7,1,2,4,6,3,5]=>000011 [7,1,2,4,6,5,3]=>000111 [7,1,2,5,3,4,6]=>000101 [7,1,2,5,3,6,4]=>000111 [7,1,2,5,4,3,6]=>001101 [7,1,2,5,4,6,3]=>000111 [7,1,2,5,6,3,4]=>000011 [7,1,2,5,6,4,3]=>001011 [7,1,2,6,3,4,5]=>000011 [7,1,2,6,3,5,4]=>000111 [7,1,2,6,4,3,5]=>001011 [7,1,2,6,4,5,3]=>000111 [7,1,2,6,5,3,4]=>000111 [7,1,2,6,5,4,3]=>001111 [7,1,3,2,4,5,6]=>010001 [7,1,3,2,4,6,5]=>010011 [7,1,3,2,5,4,6]=>010101 [7,1,3,2,5,6,4]=>010011 [7,1,3,2,6,4,5]=>010011 [7,1,3,2,6,5,4]=>010111 [7,1,3,4,2,5,6]=>001001 [7,1,3,4,2,6,5]=>001011 [7,1,3,4,5,2,6]=>000101 [7,1,3,4,5,6,2]=>000011 [7,1,3,4,6,2,5]=>000011 [7,1,3,4,6,5,2]=>000111 [7,1,3,5,2,4,6]=>000101 [7,1,3,5,2,6,4]=>000111 [7,1,3,5,4,2,6]=>001101 [7,1,3,5,4,6,2]=>000111 [7,1,3,5,6,2,4]=>000011 [7,1,3,5,6,4,2]=>001011 [7,1,3,6,2,4,5]=>000011 [7,1,3,6,2,5,4]=>000111 [7,1,3,6,4,2,5]=>001011 [7,1,3,6,4,5,2]=>000111 [7,1,3,6,5,2,4]=>000111 [7,1,3,6,5,4,2]=>001111 [7,1,4,2,3,5,6]=>001001 [7,1,4,2,3,6,5]=>001011 [7,1,4,2,5,3,6]=>001101 [7,1,4,2,5,6,3]=>001011 [7,1,4,2,6,3,5]=>001011 [7,1,4,2,6,5,3]=>001111 [7,1,4,3,2,5,6]=>011001 [7,1,4,3,2,6,5]=>011011 [7,1,4,3,5,2,6]=>001101 [7,1,4,3,5,6,2]=>001011 [7,1,4,3,6,2,5]=>001011 [7,1,4,3,6,5,2]=>001111 [7,1,4,5,2,3,6]=>000101 [7,1,4,5,2,6,3]=>000111 [7,1,4,5,3,2,6]=>010101 [7,1,4,5,3,6,2]=>000111 [7,1,4,5,6,2,3]=>000011 [7,1,4,5,6,3,2]=>010011 [7,1,4,6,2,3,5]=>000011 [7,1,4,6,2,5,3]=>000111 [7,1,4,6,3,2,5]=>010011 [7,1,4,6,3,5,2]=>000111 [7,1,4,6,5,2,3]=>000111 [7,1,4,6,5,3,2]=>010111 [7,1,5,2,3,4,6]=>000101 [7,1,5,2,3,6,4]=>000111 [7,1,5,2,4,3,6]=>001101 [7,1,5,2,4,6,3]=>000111 [7,1,5,2,6,3,4]=>000111 [7,1,5,2,6,4,3]=>001111 [7,1,5,3,2,4,6]=>010101 [7,1,5,3,2,6,4]=>010111 [7,1,5,3,4,2,6]=>001101 [7,1,5,3,4,6,2]=>000111 [7,1,5,3,6,2,4]=>000111 [7,1,5,3,6,4,2]=>001111 [7,1,5,4,2,3,6]=>001101 [7,1,5,4,2,6,3]=>001111 [7,1,5,4,3,2,6]=>011101 [7,1,5,4,3,6,2]=>001111 [7,1,5,4,6,2,3]=>000111 [7,1,5,4,6,3,2]=>010111 [7,1,5,6,2,3,4]=>000011 [7,1,5,6,2,4,3]=>001011 [7,1,5,6,3,2,4]=>010011 [7,1,5,6,3,4,2]=>001011 [7,1,5,6,4,2,3]=>001011 [7,1,5,6,4,3,2]=>011011 [7,1,6,2,3,4,5]=>000011 [7,1,6,2,3,5,4]=>000111 [7,1,6,2,4,3,5]=>001011 [7,1,6,2,4,5,3]=>000111 [7,1,6,2,5,3,4]=>000111 [7,1,6,2,5,4,3]=>001111 [7,1,6,3,2,4,5]=>010011 [7,1,6,3,2,5,4]=>010111 [7,1,6,3,4,2,5]=>001011 [7,1,6,3,4,5,2]=>000111 [7,1,6,3,5,2,4]=>000111 [7,1,6,3,5,4,2]=>001111 [7,1,6,4,2,3,5]=>001011 [7,1,6,4,2,5,3]=>001111 [7,1,6,4,3,2,5]=>011011 [7,1,6,4,3,5,2]=>001111 [7,1,6,4,5,2,3]=>000111 [7,1,6,4,5,3,2]=>010111 [7,1,6,5,2,3,4]=>000111 [7,1,6,5,2,4,3]=>001111 [7,1,6,5,3,2,4]=>010111 [7,1,6,5,3,4,2]=>001111 [7,1,6,5,4,2,3]=>001111 [7,1,6,5,4,3,2]=>011111 [7,2,1,3,4,5,6]=>100001 [7,2,1,3,4,6,5]=>100011 [7,2,1,3,5,4,6]=>100101 [7,2,1,3,5,6,4]=>100011 [7,2,1,3,6,4,5]=>100011 [7,2,1,3,6,5,4]=>100111 [7,2,1,4,3,5,6]=>101001 [7,2,1,4,3,6,5]=>101011 [7,2,1,4,5,3,6]=>100101 [7,2,1,4,5,6,3]=>100011 [7,2,1,4,6,3,5]=>100011 [7,2,1,4,6,5,3]=>100111 [7,2,1,5,3,4,6]=>100101 [7,2,1,5,3,6,4]=>100111 [7,2,1,5,4,3,6]=>101101 [7,2,1,5,4,6,3]=>100111 [7,2,1,5,6,3,4]=>100011 [7,2,1,5,6,4,3]=>101011 [7,2,1,6,3,4,5]=>100011 [7,2,1,6,3,5,4]=>100111 [7,2,1,6,4,3,5]=>101011 [7,2,1,6,4,5,3]=>100111 [7,2,1,6,5,3,4]=>100111 [7,2,1,6,5,4,3]=>101111 [7,2,3,1,4,5,6]=>010001 [7,2,3,1,4,6,5]=>010011 [7,2,3,1,5,4,6]=>010101 [7,2,3,1,5,6,4]=>010011 [7,2,3,1,6,4,5]=>010011 [7,2,3,1,6,5,4]=>010111 [7,2,3,4,1,5,6]=>001001 [7,2,3,4,1,6,5]=>001011 [7,2,3,4,5,1,6]=>000101 [7,2,3,4,5,6,1]=>000011 [7,2,3,4,6,1,5]=>000011 [7,2,3,4,6,5,1]=>000111 [7,2,3,5,1,4,6]=>000101 [7,2,3,5,1,6,4]=>000111 [7,2,3,5,4,1,6]=>001101 [7,2,3,5,4,6,1]=>000111 [7,2,3,5,6,1,4]=>000011 [7,2,3,5,6,4,1]=>001011 [7,2,3,6,1,4,5]=>000011 [7,2,3,6,1,5,4]=>000111 [7,2,3,6,4,1,5]=>001011 [7,2,3,6,4,5,1]=>000111 [7,2,3,6,5,1,4]=>000111 [7,2,3,6,5,4,1]=>001111 [7,2,4,1,3,5,6]=>001001 [7,2,4,1,3,6,5]=>001011 [7,2,4,1,5,3,6]=>001101 [7,2,4,1,5,6,3]=>001011 [7,2,4,1,6,3,5]=>001011 [7,2,4,1,6,5,3]=>001111 [7,2,4,3,1,5,6]=>011001 [7,2,4,3,1,6,5]=>011011 [7,2,4,3,5,1,6]=>001101 [7,2,4,3,5,6,1]=>001011 [7,2,4,3,6,1,5]=>001011 [7,2,4,3,6,5,1]=>001111 [7,2,4,5,1,3,6]=>000101 [7,2,4,5,1,6,3]=>000111 [7,2,4,5,3,1,6]=>010101 [7,2,4,5,3,6,1]=>000111 [7,2,4,5,6,1,3]=>000011 [7,2,4,5,6,3,1]=>010011 [7,2,4,6,1,3,5]=>000011 [7,2,4,6,1,5,3]=>000111 [7,2,4,6,3,1,5]=>010011 [7,2,4,6,3,5,1]=>000111 [7,2,4,6,5,1,3]=>000111 [7,2,4,6,5,3,1]=>010111 [7,2,5,1,3,4,6]=>000101 [7,2,5,1,3,6,4]=>000111 [7,2,5,1,4,3,6]=>001101 [7,2,5,1,4,6,3]=>000111 [7,2,5,1,6,3,4]=>000111 [7,2,5,1,6,4,3]=>001111 [7,2,5,3,1,4,6]=>010101 [7,2,5,3,1,6,4]=>010111 [7,2,5,3,4,1,6]=>001101 [7,2,5,3,4,6,1]=>000111 [7,2,5,3,6,1,4]=>000111 [7,2,5,3,6,4,1]=>001111 [7,2,5,4,1,3,6]=>001101 [7,2,5,4,1,6,3]=>001111 [7,2,5,4,3,1,6]=>011101 [7,2,5,4,3,6,1]=>001111 [7,2,5,4,6,1,3]=>000111 [7,2,5,4,6,3,1]=>010111 [7,2,5,6,1,3,4]=>000011 [7,2,5,6,1,4,3]=>001011 [7,2,5,6,3,1,4]=>010011 [7,2,5,6,3,4,1]=>001011 [7,2,5,6,4,1,3]=>001011 [7,2,5,6,4,3,1]=>011011 [7,2,6,1,3,4,5]=>000011 [7,2,6,1,3,5,4]=>000111 [7,2,6,1,4,3,5]=>001011 [7,2,6,1,4,5,3]=>000111 [7,2,6,1,5,3,4]=>000111 [7,2,6,1,5,4,3]=>001111 [7,2,6,3,1,4,5]=>010011 [7,2,6,3,1,5,4]=>010111 [7,2,6,3,4,1,5]=>001011 [7,2,6,3,4,5,1]=>000111 [7,2,6,3,5,1,4]=>000111 [7,2,6,3,5,4,1]=>001111 [7,2,6,4,1,3,5]=>001011 [7,2,6,4,1,5,3]=>001111 [7,2,6,4,3,1,5]=>011011 [7,2,6,4,3,5,1]=>001111 [7,2,6,4,5,1,3]=>000111 [7,2,6,4,5,3,1]=>010111 [7,2,6,5,1,3,4]=>000111 [7,2,6,5,1,4,3]=>001111 [7,2,6,5,3,1,4]=>010111 [7,2,6,5,3,4,1]=>001111 [7,2,6,5,4,1,3]=>001111 [7,2,6,5,4,3,1]=>011111 [7,3,1,2,4,5,6]=>010001 [7,3,1,2,4,6,5]=>010011 [7,3,1,2,5,4,6]=>010101 [7,3,1,2,5,6,4]=>010011 [7,3,1,2,6,4,5]=>010011 [7,3,1,2,6,5,4]=>010111 [7,3,1,4,2,5,6]=>011001 [7,3,1,4,2,6,5]=>011011 [7,3,1,4,5,2,6]=>010101 [7,3,1,4,5,6,2]=>010011 [7,3,1,4,6,2,5]=>010011 [7,3,1,4,6,5,2]=>010111 [7,3,1,5,2,4,6]=>010101 [7,3,1,5,2,6,4]=>010111 [7,3,1,5,4,2,6]=>011101 [7,3,1,5,4,6,2]=>010111 [7,3,1,5,6,2,4]=>010011 [7,3,1,5,6,4,2]=>011011 [7,3,1,6,2,4,5]=>010011 [7,3,1,6,2,5,4]=>010111 [7,3,1,6,4,2,5]=>011011 [7,3,1,6,4,5,2]=>010111 [7,3,1,6,5,2,4]=>010111 [7,3,1,6,5,4,2]=>011111 [7,3,2,1,4,5,6]=>110001 [7,3,2,1,4,6,5]=>110011 [7,3,2,1,5,4,6]=>110101 [7,3,2,1,5,6,4]=>110011 [7,3,2,1,6,4,5]=>110011 [7,3,2,1,6,5,4]=>110111 [7,3,2,4,1,5,6]=>011001 [7,3,2,4,1,6,5]=>011011 [7,3,2,4,5,1,6]=>010101 [7,3,2,4,5,6,1]=>010011 [7,3,2,4,6,1,5]=>010011 [7,3,2,4,6,5,1]=>010111 [7,3,2,5,1,4,6]=>010101 [7,3,2,5,1,6,4]=>010111 [7,3,2,5,4,1,6]=>011101 [7,3,2,5,4,6,1]=>010111 [7,3,2,5,6,1,4]=>010011 [7,3,2,5,6,4,1]=>011011 [7,3,2,6,1,4,5]=>010011 [7,3,2,6,1,5,4]=>010111 [7,3,2,6,4,1,5]=>011011 [7,3,2,6,4,5,1]=>010111 [7,3,2,6,5,1,4]=>010111 [7,3,2,6,5,4,1]=>011111 [7,3,4,1,2,5,6]=>001001 [7,3,4,1,2,6,5]=>001011 [7,3,4,1,5,2,6]=>001101 [7,3,4,1,5,6,2]=>001011 [7,3,4,1,6,2,5]=>001011 [7,3,4,1,6,5,2]=>001111 [7,3,4,2,1,5,6]=>101001 [7,3,4,2,1,6,5]=>101011 [7,3,4,2,5,1,6]=>001101 [7,3,4,2,5,6,1]=>001011 [7,3,4,2,6,1,5]=>001011 [7,3,4,2,6,5,1]=>001111 [7,3,4,5,1,2,6]=>000101 [7,3,4,5,1,6,2]=>000111 [7,3,4,5,2,1,6]=>100101 [7,3,4,5,2,6,1]=>000111 [7,3,4,5,6,1,2]=>000011 [7,3,4,5,6,2,1]=>100011 [7,3,4,6,1,2,5]=>000011 [7,3,4,6,1,5,2]=>000111 [7,3,4,6,2,1,5]=>100011 [7,3,4,6,2,5,1]=>000111 [7,3,4,6,5,1,2]=>000111 [7,3,4,6,5,2,1]=>100111 [7,3,5,1,2,4,6]=>000101 [7,3,5,1,2,6,4]=>000111 [7,3,5,1,4,2,6]=>001101 [7,3,5,1,4,6,2]=>000111 [7,3,5,1,6,2,4]=>000111 [7,3,5,1,6,4,2]=>001111 [7,3,5,2,1,4,6]=>100101 [7,3,5,2,1,6,4]=>100111 [7,3,5,2,4,1,6]=>001101 [7,3,5,2,4,6,1]=>000111 [7,3,5,2,6,1,4]=>000111 [7,3,5,2,6,4,1]=>001111 [7,3,5,4,1,2,6]=>001101 [7,3,5,4,1,6,2]=>001111 [7,3,5,4,2,1,6]=>101101 [7,3,5,4,2,6,1]=>001111 [7,3,5,4,6,1,2]=>000111 [7,3,5,4,6,2,1]=>100111 [7,3,5,6,1,2,4]=>000011 [7,3,5,6,1,4,2]=>001011 [7,3,5,6,2,1,4]=>100011 [7,3,5,6,2,4,1]=>001011 [7,3,5,6,4,1,2]=>001011 [7,3,5,6,4,2,1]=>101011 [7,3,6,1,2,4,5]=>000011 [7,3,6,1,2,5,4]=>000111 [7,3,6,1,4,2,5]=>001011 [7,3,6,1,4,5,2]=>000111 [7,3,6,1,5,2,4]=>000111 [7,3,6,1,5,4,2]=>001111 [7,3,6,2,1,4,5]=>100011 [7,3,6,2,1,5,4]=>100111 [7,3,6,2,4,1,5]=>001011 [7,3,6,2,4,5,1]=>000111 [7,3,6,2,5,1,4]=>000111 [7,3,6,2,5,4,1]=>001111 [7,3,6,4,1,2,5]=>001011 [7,3,6,4,1,5,2]=>001111 [7,3,6,4,2,1,5]=>101011 [7,3,6,4,2,5,1]=>001111 [7,3,6,4,5,1,2]=>000111 [7,3,6,4,5,2,1]=>100111 [7,3,6,5,1,2,4]=>000111 [7,3,6,5,1,4,2]=>001111 [7,3,6,5,2,1,4]=>100111 [7,3,6,5,2,4,1]=>001111 [7,3,6,5,4,1,2]=>001111 [7,3,6,5,4,2,1]=>101111 [7,4,1,2,3,5,6]=>001001 [7,4,1,2,3,6,5]=>001011 [7,4,1,2,5,3,6]=>001101 [7,4,1,2,5,6,3]=>001011 [7,4,1,2,6,3,5]=>001011 [7,4,1,2,6,5,3]=>001111 [7,4,1,3,2,5,6]=>011001 [7,4,1,3,2,6,5]=>011011 [7,4,1,3,5,2,6]=>001101 [7,4,1,3,5,6,2]=>001011 [7,4,1,3,6,2,5]=>001011 [7,4,1,3,6,5,2]=>001111 [7,4,1,5,2,3,6]=>001101 [7,4,1,5,2,6,3]=>001111 [7,4,1,5,3,2,6]=>011101 [7,4,1,5,3,6,2]=>001111 [7,4,1,5,6,2,3]=>001011 [7,4,1,5,6,3,2]=>011011 [7,4,1,6,2,3,5]=>001011 [7,4,1,6,2,5,3]=>001111 [7,4,1,6,3,2,5]=>011011 [7,4,1,6,3,5,2]=>001111 [7,4,1,6,5,2,3]=>001111 [7,4,1,6,5,3,2]=>011111 [7,4,2,1,3,5,6]=>101001 [7,4,2,1,3,6,5]=>101011 [7,4,2,1,5,3,6]=>101101 [7,4,2,1,5,6,3]=>101011 [7,4,2,1,6,3,5]=>101011 [7,4,2,1,6,5,3]=>101111 [7,4,2,3,1,5,6]=>011001 [7,4,2,3,1,6,5]=>011011 [7,4,2,3,5,1,6]=>001101 [7,4,2,3,5,6,1]=>001011 [7,4,2,3,6,1,5]=>001011 [7,4,2,3,6,5,1]=>001111 [7,4,2,5,1,3,6]=>001101 [7,4,2,5,1,6,3]=>001111 [7,4,2,5,3,1,6]=>011101 [7,4,2,5,3,6,1]=>001111 [7,4,2,5,6,1,3]=>001011 [7,4,2,5,6,3,1]=>011011 [7,4,2,6,1,3,5]=>001011 [7,4,2,6,1,5,3]=>001111 [7,4,2,6,3,1,5]=>011011 [7,4,2,6,3,5,1]=>001111 [7,4,2,6,5,1,3]=>001111 [7,4,2,6,5,3,1]=>011111 [7,4,3,1,2,5,6]=>011001 [7,4,3,1,2,6,5]=>011011 [7,4,3,1,5,2,6]=>011101 [7,4,3,1,5,6,2]=>011011 [7,4,3,1,6,2,5]=>011011 [7,4,3,1,6,5,2]=>011111 [7,4,3,2,1,5,6]=>111001 [7,4,3,2,1,6,5]=>111011 [7,4,3,2,5,1,6]=>011101 [7,4,3,2,5,6,1]=>011011 [7,4,3,2,6,1,5]=>011011 [7,4,3,2,6,5,1]=>011111 [7,4,3,5,1,2,6]=>001101 [7,4,3,5,1,6,2]=>001111 [7,4,3,5,2,1,6]=>101101 [7,4,3,5,2,6,1]=>001111 [7,4,3,5,6,1,2]=>001011 [7,4,3,5,6,2,1]=>101011 [7,4,3,6,1,2,5]=>001011 [7,4,3,6,1,5,2]=>001111 [7,4,3,6,2,1,5]=>101011 [7,4,3,6,2,5,1]=>001111 [7,4,3,6,5,1,2]=>001111 [7,4,3,6,5,2,1]=>101111 [7,4,5,1,2,3,6]=>000101 [7,4,5,1,2,6,3]=>000111 [7,4,5,1,3,2,6]=>010101 [7,4,5,1,3,6,2]=>000111 [7,4,5,1,6,2,3]=>000111 [7,4,5,1,6,3,2]=>010111 [7,4,5,2,1,3,6]=>100101 [7,4,5,2,1,6,3]=>100111 [7,4,5,2,3,1,6]=>010101 [7,4,5,2,3,6,1]=>000111 [7,4,5,2,6,1,3]=>000111 [7,4,5,2,6,3,1]=>010111 [7,4,5,3,1,2,6]=>010101 [7,4,5,3,1,6,2]=>010111 [7,4,5,3,2,1,6]=>110101 [7,4,5,3,2,6,1]=>010111 [7,4,5,3,6,1,2]=>000111 [7,4,5,3,6,2,1]=>100111 [7,4,5,6,1,2,3]=>000011 [7,4,5,6,1,3,2]=>010011 [7,4,5,6,2,1,3]=>100011 [7,4,5,6,2,3,1]=>010011 [7,4,5,6,3,1,2]=>010011 [7,4,5,6,3,2,1]=>110011 [7,4,6,1,2,3,5]=>000011 [7,4,6,1,2,5,3]=>000111 [7,4,6,1,3,2,5]=>010011 [7,4,6,1,3,5,2]=>000111 [7,4,6,1,5,2,3]=>000111 [7,4,6,1,5,3,2]=>010111 [7,4,6,2,1,3,5]=>100011 [7,4,6,2,1,5,3]=>100111 [7,4,6,2,3,1,5]=>010011 [7,4,6,2,3,5,1]=>000111 [7,4,6,2,5,1,3]=>000111 [7,4,6,2,5,3,1]=>010111 [7,4,6,3,1,2,5]=>010011 [7,4,6,3,1,5,2]=>010111 [7,4,6,3,2,1,5]=>110011 [7,4,6,3,2,5,1]=>010111 [7,4,6,3,5,1,2]=>000111 [7,4,6,3,5,2,1]=>100111 [7,4,6,5,1,2,3]=>000111 [7,4,6,5,1,3,2]=>010111 [7,4,6,5,2,1,3]=>100111 [7,4,6,5,2,3,1]=>010111 [7,4,6,5,3,1,2]=>010111 [7,4,6,5,3,2,1]=>110111 [7,5,1,2,3,4,6]=>000101 [7,5,1,2,3,6,4]=>000111 [7,5,1,2,4,3,6]=>001101 [7,5,1,2,4,6,3]=>000111 [7,5,1,2,6,3,4]=>000111 [7,5,1,2,6,4,3]=>001111 [7,5,1,3,2,4,6]=>010101 [7,5,1,3,2,6,4]=>010111 [7,5,1,3,4,2,6]=>001101 [7,5,1,3,4,6,2]=>000111 [7,5,1,3,6,2,4]=>000111 [7,5,1,3,6,4,2]=>001111 [7,5,1,4,2,3,6]=>001101 [7,5,1,4,2,6,3]=>001111 [7,5,1,4,3,2,6]=>011101 [7,5,1,4,3,6,2]=>001111 [7,5,1,4,6,2,3]=>000111 [7,5,1,4,6,3,2]=>010111 [7,5,1,6,2,3,4]=>000111 [7,5,1,6,2,4,3]=>001111 [7,5,1,6,3,2,4]=>010111 [7,5,1,6,3,4,2]=>001111 [7,5,1,6,4,2,3]=>001111 [7,5,1,6,4,3,2]=>011111 [7,5,2,1,3,4,6]=>100101 [7,5,2,1,3,6,4]=>100111 [7,5,2,1,4,3,6]=>101101 [7,5,2,1,4,6,3]=>100111 [7,5,2,1,6,3,4]=>100111 [7,5,2,1,6,4,3]=>101111 [7,5,2,3,1,4,6]=>010101 [7,5,2,3,1,6,4]=>010111 [7,5,2,3,4,1,6]=>001101 [7,5,2,3,4,6,1]=>000111 [7,5,2,3,6,1,4]=>000111 [7,5,2,3,6,4,1]=>001111 [7,5,2,4,1,3,6]=>001101 [7,5,2,4,1,6,3]=>001111 [7,5,2,4,3,1,6]=>011101 [7,5,2,4,3,6,1]=>001111 [7,5,2,4,6,1,3]=>000111 [7,5,2,4,6,3,1]=>010111 [7,5,2,6,1,3,4]=>000111 [7,5,2,6,1,4,3]=>001111 [7,5,2,6,3,1,4]=>010111 [7,5,2,6,3,4,1]=>001111 [7,5,2,6,4,1,3]=>001111 [7,5,2,6,4,3,1]=>011111 [7,5,3,1,2,4,6]=>010101 [7,5,3,1,2,6,4]=>010111 [7,5,3,1,4,2,6]=>011101 [7,5,3,1,4,6,2]=>010111 [7,5,3,1,6,2,4]=>010111 [7,5,3,1,6,4,2]=>011111 [7,5,3,2,1,4,6]=>110101 [7,5,3,2,1,6,4]=>110111 [7,5,3,2,4,1,6]=>011101 [7,5,3,2,4,6,1]=>010111 [7,5,3,2,6,1,4]=>010111 [7,5,3,2,6,4,1]=>011111 [7,5,3,4,1,2,6]=>001101 [7,5,3,4,1,6,2]=>001111 [7,5,3,4,2,1,6]=>101101 [7,5,3,4,2,6,1]=>001111 [7,5,3,4,6,1,2]=>000111 [7,5,3,4,6,2,1]=>100111 [7,5,3,6,1,2,4]=>000111 [7,5,3,6,1,4,2]=>001111 [7,5,3,6,2,1,4]=>100111 [7,5,3,6,2,4,1]=>001111 [7,5,3,6,4,1,2]=>001111 [7,5,3,6,4,2,1]=>101111 [7,5,4,1,2,3,6]=>001101 [7,5,4,1,2,6,3]=>001111 [7,5,4,1,3,2,6]=>011101 [7,5,4,1,3,6,2]=>001111 [7,5,4,1,6,2,3]=>001111 [7,5,4,1,6,3,2]=>011111 [7,5,4,2,1,3,6]=>101101 [7,5,4,2,1,6,3]=>101111 [7,5,4,2,3,1,6]=>011101 [7,5,4,2,3,6,1]=>001111 [7,5,4,2,6,1,3]=>001111 [7,5,4,2,6,3,1]=>011111 [7,5,4,3,1,2,6]=>011101 [7,5,4,3,1,6,2]=>011111 [7,5,4,3,2,1,6]=>111101 [7,5,4,3,2,6,1]=>011111 [7,5,4,3,6,1,2]=>001111 [7,5,4,3,6,2,1]=>101111 [7,5,4,6,1,2,3]=>000111 [7,5,4,6,1,3,2]=>010111 [7,5,4,6,2,1,3]=>100111 [7,5,4,6,2,3,1]=>010111 [7,5,4,6,3,1,2]=>010111 [7,5,4,6,3,2,1]=>110111 [7,5,6,1,2,3,4]=>000011 [7,5,6,1,2,4,3]=>001011 [7,5,6,1,3,2,4]=>010011 [7,5,6,1,3,4,2]=>001011 [7,5,6,1,4,2,3]=>001011 [7,5,6,1,4,3,2]=>011011 [7,5,6,2,1,3,4]=>100011 [7,5,6,2,1,4,3]=>101011 [7,5,6,2,3,1,4]=>010011 [7,5,6,2,3,4,1]=>001011 [7,5,6,2,4,1,3]=>001011 [7,5,6,2,4,3,1]=>011011 [7,5,6,3,1,2,4]=>010011 [7,5,6,3,1,4,2]=>011011 [7,5,6,3,2,1,4]=>110011 [7,5,6,3,2,4,1]=>011011 [7,5,6,3,4,1,2]=>001011 [7,5,6,3,4,2,1]=>101011 [7,5,6,4,1,2,3]=>001011 [7,5,6,4,1,3,2]=>011011 [7,5,6,4,2,1,3]=>101011 [7,5,6,4,2,3,1]=>011011 [7,5,6,4,3,1,2]=>011011 [7,5,6,4,3,2,1]=>111011 [7,6,1,2,3,4,5]=>000011 [7,6,1,2,3,5,4]=>000111 [7,6,1,2,4,3,5]=>001011 [7,6,1,2,4,5,3]=>000111 [7,6,1,2,5,3,4]=>000111 [7,6,1,2,5,4,3]=>001111 [7,6,1,3,2,4,5]=>010011 [7,6,1,3,2,5,4]=>010111 [7,6,1,3,4,2,5]=>001011 [7,6,1,3,4,5,2]=>000111 [7,6,1,3,5,2,4]=>000111 [7,6,1,3,5,4,2]=>001111 [7,6,1,4,2,3,5]=>001011 [7,6,1,4,2,5,3]=>001111 [7,6,1,4,3,2,5]=>011011 [7,6,1,4,3,5,2]=>001111 [7,6,1,4,5,2,3]=>000111 [7,6,1,4,5,3,2]=>010111 [7,6,1,5,2,3,4]=>000111 [7,6,1,5,2,4,3]=>001111 [7,6,1,5,3,2,4]=>010111 [7,6,1,5,3,4,2]=>001111 [7,6,1,5,4,2,3]=>001111 [7,6,1,5,4,3,2]=>011111 [7,6,2,1,3,4,5]=>100011 [7,6,2,1,3,5,4]=>100111 [7,6,2,1,4,3,5]=>101011 [7,6,2,1,4,5,3]=>100111 [7,6,2,1,5,3,4]=>100111 [7,6,2,1,5,4,3]=>101111 [7,6,2,3,1,4,5]=>010011 [7,6,2,3,1,5,4]=>010111 [7,6,2,3,4,1,5]=>001011 [7,6,2,3,4,5,1]=>000111 [7,6,2,3,5,1,4]=>000111 [7,6,2,3,5,4,1]=>001111 [7,6,2,4,1,3,5]=>001011 [7,6,2,4,1,5,3]=>001111 [7,6,2,4,3,1,5]=>011011 [7,6,2,4,3,5,1]=>001111 [7,6,2,4,5,1,3]=>000111 [7,6,2,4,5,3,1]=>010111 [7,6,2,5,1,3,4]=>000111 [7,6,2,5,1,4,3]=>001111 [7,6,2,5,3,1,4]=>010111 [7,6,2,5,3,4,1]=>001111 [7,6,2,5,4,1,3]=>001111 [7,6,2,5,4,3,1]=>011111 [7,6,3,1,2,4,5]=>010011 [7,6,3,1,2,5,4]=>010111 [7,6,3,1,4,2,5]=>011011 [7,6,3,1,4,5,2]=>010111 [7,6,3,1,5,2,4]=>010111 [7,6,3,1,5,4,2]=>011111 [7,6,3,2,1,4,5]=>110011 [7,6,3,2,1,5,4]=>110111 [7,6,3,2,4,1,5]=>011011 [7,6,3,2,4,5,1]=>010111 [7,6,3,2,5,1,4]=>010111 [7,6,3,2,5,4,1]=>011111 [7,6,3,4,1,2,5]=>001011 [7,6,3,4,1,5,2]=>001111 [7,6,3,4,2,1,5]=>101011 [7,6,3,4,2,5,1]=>001111 [7,6,3,4,5,1,2]=>000111 [7,6,3,4,5,2,1]=>100111 [7,6,3,5,1,2,4]=>000111 [7,6,3,5,1,4,2]=>001111 [7,6,3,5,2,1,4]=>100111 [7,6,3,5,2,4,1]=>001111 [7,6,3,5,4,1,2]=>001111 [7,6,3,5,4,2,1]=>101111 [7,6,4,1,2,3,5]=>001011 [7,6,4,1,2,5,3]=>001111 [7,6,4,1,3,2,5]=>011011 [7,6,4,1,3,5,2]=>001111 [7,6,4,1,5,2,3]=>001111 [7,6,4,1,5,3,2]=>011111 [7,6,4,2,1,3,5]=>101011 [7,6,4,2,1,5,3]=>101111 [7,6,4,2,3,1,5]=>011011 [7,6,4,2,3,5,1]=>001111 [7,6,4,2,5,1,3]=>001111 [7,6,4,2,5,3,1]=>011111 [7,6,4,3,1,2,5]=>011011 [7,6,4,3,1,5,2]=>011111 [7,6,4,3,2,1,5]=>111011 [7,6,4,3,2,5,1]=>011111 [7,6,4,3,5,1,2]=>001111 [7,6,4,3,5,2,1]=>101111 [7,6,4,5,1,2,3]=>000111 [7,6,4,5,1,3,2]=>010111 [7,6,4,5,2,1,3]=>100111 [7,6,4,5,2,3,1]=>010111 [7,6,4,5,3,1,2]=>010111 [7,6,4,5,3,2,1]=>110111 [7,6,5,1,2,3,4]=>000111 [7,6,5,1,2,4,3]=>001111 [7,6,5,1,3,2,4]=>010111 [7,6,5,1,3,4,2]=>001111 [7,6,5,1,4,2,3]=>001111 [7,6,5,1,4,3,2]=>011111 [7,6,5,2,1,3,4]=>100111 [7,6,5,2,1,4,3]=>101111 [7,6,5,2,3,1,4]=>010111 [7,6,5,2,3,4,1]=>001111 [7,6,5,2,4,1,3]=>001111 [7,6,5,2,4,3,1]=>011111 [7,6,5,3,1,2,4]=>010111 [7,6,5,3,1,4,2]=>011111 [7,6,5,3,2,1,4]=>110111 [7,6,5,3,2,4,1]=>011111 [7,6,5,3,4,1,2]=>001111 [7,6,5,3,4,2,1]=>101111 [7,6,5,4,1,2,3]=>001111 [7,6,5,4,1,3,2]=>011111 [7,6,5,4,2,1,3]=>101111 [7,6,5,4,2,3,1]=>011111 [7,6,5,4,3,1,2]=>011111 [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]=>1010111 [8,6,7,5,4,2,3,1]=>0111011 [8,6,5,7,3,2,4,1]=>0110111 [8,5,6,7,2,3,4,1]=>0010011 [7,8,6,5,4,3,1,2]=>0111101 [7,8,5,6,3,4,1,2]=>0010101 [5,6,7,8,3,4,1,2]=>0010001 [7,8,3,4,5,6,1,2]=>0000101 [3,4,5,6,7,8,1,2]=>0000001 [7,6,8,5,4,2,1,3]=>1011011 [6,7,8,5,4,1,2,3]=>0011001 [7,6,5,8,3,2,1,4]=>1100111 [7,5,6,8,2,3,1,4]=>0100011 [6,7,5,8,3,1,2,4]=>0100011 [6,5,7,8,2,1,3,4]=>1000101 [7,8,5,6,1,2,3,4]=>0000101 [5,6,7,8,1,2,3,4]=>0000001 [7,8,1,2,3,4,5,6]=>0000001 [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]=>1010101 [2,4,3,1,7,6,8,5]=>0110011 [3,2,4,1,6,8,7,5]=>0110011 [2,3,4,1,6,7,8,5]=>0010001 [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]=>0100001 [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]=>0010010 [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]=>1001111 [4,2,3,1,8,6,7,5]=>0110011 [6,3,2,5,4,1,8,7]=>0111101 [8,3,2,5,4,7,6,1]=>0101111 [8,3,2,7,6,5,4,1]=>0111111 [8,5,4,3,2,7,6,1]=>0111111 [8,7,4,3,6,5,2,1]=>1011111 [2,4,1,3,7,5,8,6]=>0010011 [2,1,4,3,7,8,5,6]=>1010001 [2,4,5,6,7,1,8,3]=>0000011 [2,1,5,6,3,4,8,7]=>1000101 [2,5,1,7,3,4,8,6]=>0001011 [2,1,5,7,3,8,4,6]=>1000011 [2,3,5,6,1,7,8,4]=>0000101 [2,6,7,1,3,4,8,5]=>0000011 [2,1,6,7,8,3,4,5]=>1000001 [3,4,1,2,6,5,8,7]=>0010101 [3,1,4,2,6,8,5,7]=>0110001 [3,4,1,2,7,8,5,6]=>0010001 [3,5,1,6,2,4,8,7]=>0001101 [3,1,5,6,2,8,4,7]=>0100101 [3,5,1,7,2,8,4,6]=>0001011 [1,3,5,6,2,7,4,8]=>0000110 [3,6,7,1,2,8,4,5]=>0000011 [3,6,1,7,8,2,4,5]=>0000101 [3,1,2,4,5,8,6,7]=>0100001 [4,5,6,1,2,3,8,7]=>0000101 [4,1,5,6,8,2,3,7]=>0010001 [4,5,7,1,2,8,3,6]=>0000011 [4,5,1,7,8,2,3,6]=>0001001 [1,4,5,6,7,2,3,8]=>0000010 [4,6,7,1,8,2,3,5]=>0000011 [1,4,2,3,7,5,6,8]=>0010010 [4,1,2,3,8,5,6,7]=>0010001 [1,2,5,6,3,4,7,8]=>0000100 [1,5,2,7,3,4,6,8]=>0001010 [5,1,2,8,3,4,6,7]=>0001001 [1,6,7,2,3,4,5,8]=>0000010 [6,1,8,2,3,4,5,7]=>0000101 [5,3,2,6,1,4,8,7]=>0101101 [7,3,2,5,4,8,1,6]=>0101011 [8,4,5,2,3,7,6,1]=>0001111 [7,4,5,2,3,8,1,6]=>0001011 [6,4,5,2,3,1,8,7]=>0101101 [5,4,6,2,1,3,8,7]=>1001101 [3,6,1,5,4,2,8,7]=>0011101 [4,6,5,1,3,2,8,7]=>0101101 [5,6,4,3,1,2,8,7]=>0110101 [7,5,4,3,2,8,1,6]=>0111011 [8,6,4,3,7,2,5,1]=>0011111 [7,6,4,3,8,2,1,5]=>1010111 [6,7,4,3,8,1,2,5]=>0010011 [5,7,4,3,1,8,2,6]=>0110011 [4,7,5,1,3,8,2,6]=>0001011 [3,7,1,5,4,8,2,6]=>0001011 [2,1,7,5,4,8,3,6]=>1001011 [3,8,1,5,4,7,6,2]=>0001111 [4,8,5,1,3,7,6,2]=>0001111 [5,8,4,3,1,7,6,2]=>0110111 [6,8,4,3,7,1,5,2]=>0011011 [7,8,4,3,6,5,1,2]=>0011101 [6,8,5,7,3,1,4,2]=>0110011 [5,8,6,7,1,3,4,2]=>0010011 [4,8,6,1,7,3,5,2]=>0001111 [3,8,1,6,7,4,5,2]=>0001011 [2,1,8,6,7,4,5,3]=>1001011 [2,1,7,6,8,4,3,5]=>1010011 [3,7,1,6,8,4,2,5]=>0010011 [4,7,6,1,8,3,2,5]=>0100111 [5,7,6,8,1,3,2,4]=>0100011 [5,4,7,2,1,8,3,6]=>1001011 [6,4,7,2,8,1,3,5]=>0000111 [7,4,6,2,8,3,1,5]=>0100111 [8,4,6,2,7,3,5,1]=>0001111 [8,3,2,6,7,4,5,1]=>0101011 [7,3,2,6,8,4,1,5]=>0110011 [6,3,2,7,8,1,4,5]=>0100101 [5,3,2,7,1,8,4,6]=>0101011 [4,3,2,1,7,8,5,6]=>1110001 [3,4,1,2,8,7,6,5]=>0010111 [5,3,2,8,1,7,6,4]=>0101111 [6,3,2,8,7,1,5,4]=>0101111 [7,3,2,8,6,5,1,4]=>0101111 [8,4,7,2,6,5,3,1]=>0101111 [7,4,8,2,6,5,1,3]=>0001111 [6,4,8,2,7,1,5,3]=>0001111 [5,4,8,2,1,7,6,3]=>1001111 [4,5,8,1,2,7,6,3]=>0000111 [3,5,1,8,2,7,6,4]=>0001111 [2,1,5,8,3,7,6,4]=>1000111 [2,1,6,8,7,3,5,4]=>1001011 [3,6,1,8,7,2,5,4]=>0001111 [4,6,8,1,7,2,5,3]=>0001011 [5,6,8,7,1,2,4,3]=>0010011 [6,5,8,7,2,1,4,3]=>1010111 [7,5,8,6,2,4,1,3]=>0010111 [8,5,7,6,2,4,3,1]=>0110111 [5,7,8,6,1,4,2,3]=>0010101 [4,7,8,1,6,5,2,3]=>0001101 [3,7,1,8,6,5,2,4]=>0001111 [2,1,7,8,6,5,3,4]=>1001101 [3,8,1,7,6,5,4,2]=>0011111 [4,8,7,1,6,5,3,2]=>0101111 [5,8,7,6,1,4,3,2]=>0110111 [6,8,7,5,4,1,3,2]=>0111011 [6,3,8,1,2,7,4,5]=>0000111 [7,8,4,1,6,2,3,5]=>0010101 [6,5,8,7,3,4,1,2]=>0010111 [4,6,7,3,8,5,1,2]=>0001011 [3,6,7,4,5,8,1,2]=>0000011 [2,6,7,4,5,1,8,3]=>0001011 [1,6,7,4,5,2,3,8]=>0001010 [1,5,4,7,6,2,3,8]=>0001110 [2,5,4,7,6,1,8,3]=>0001111 [3,5,4,7,6,8,1,2]=>0001011 [4,5,3,7,8,6,1,2]=>0001101 [5,4,3,8,7,6,1,2]=>0011111 [6,4,8,3,7,5,1,2]=>0001111 [6,3,8,4,5,7,1,2]=>0000111 [5,3,4,8,6,7,1,2]=>0001011 [4,3,5,6,8,7,1,2]=>0010011 [3,2,5,6,1,8,7,4]=>0100111 [4,2,5,6,8,1,7,3]=>0010011 [5,2,4,8,6,1,7,3]=>0001111 [6,2,8,4,5,1,7,3]=>0001111 [7,8,2,4,5,1,6,3]=>0001101 [7,8,1,4,5,2,3,6]=>0001001 [6,1,8,4,5,2,3,7]=>0001101 [5,1,4,8,6,2,3,7]=>0001101 [4,1,3,2,8,6,5,7]=>0110101 [5,1,3,8,2,6,4,7]=>0001101 [6,1,8,3,2,5,4,7]=>0101101 [7,8,1,3,2,5,4,6]=>0101001 [7,8,2,3,1,5,6,4]=>0100101 [6,2,8,3,1,5,7,4]=>0100111 [5,2,3,8,1,6,7,4]=>0001011 [6,3,8,2,1,7,5,4]=>1001111 [7,8,3,2,1,6,5,4]=>1101101 [7,8,4,2,6,1,5,3]=>0011101 [5,4,2,8,7,1,6,3]=>0011111 [4,5,2,7,8,1,6,3]=>0001101 [3,5,2,7,1,8,6,4]=>0001111 [2,5,3,7,1,6,8,4]=>0001011 [1,5,3,7,2,6,4,8]=>0001110 [1,6,7,3,2,5,4,8]=>0101010 [2,6,7,3,1,5,8,4]=>0100011 [3,6,7,2,1,8,5,4]=>1001011 [4,6,7,2,8,1,5,3]=>0001011 [5,6,7,8,2,1,4,3]=>1010001 [7,8,5,6,2,1,4,3]=>1010101 [6,5,8,7,1,2,3,4]=>0000111 [5,4,1,8,7,2,3,6]=>0011011 [6,4,8,1,7,2,3,5]=>0000111 [7,8,3,1,2,6,4,5]=>0100101 [5,3,1,8,2,7,4,6]=>0101011 [4,3,1,2,8,7,5,6]=>0110011 [4,2,1,3,8,5,7,6]=>1010011 [5,2,1,8,3,4,7,6]=>1001011 [6,2,8,1,3,4,7,5]=>0000111 [7,8,2,1,3,4,6,5]=>1000101
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The descent tops of a permutation as a binary word.
Since 1 is never a descent top, it is omitted and the first letter of the word corresponds to the element 2.
Properties
surjective, graded
Sage code
def mapping(pi):
    """
    Return the elements which are descent tops as a binary word, the
    first letter corresponding to 2.

    sage: mapping(Permutation([3,1,2]))
    word: 01

    sage: all(descent_bottoms(pi.reverse().complement()).reversal() == mapping(pi) for pi in Permutations(5))
    True
    """
    D = [pi[i] for i in pi.descents(from_zero=True)]
    return Words([0,1])([1 if i in D else 0 for i in range(2,len(pi)+1)])
Weight
26
Created
Jan 29, 2020 at 13:27 by FindStatCrew
Updated
Jan 29, 2020 at 13:27 by Martin Rubey