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Identifier
Mp00114: Permutations connectivity setBinary words
Images
=>
[1]=> [1,2]=>1 [2,1]=>0 [1,2,3]=>11 [1,3,2]=>10 [2,1,3]=>01 [2,3,1]=>00 [3,1,2]=>00 [3,2,1]=>00 [1,2,3,4]=>111 [1,2,4,3]=>110 [1,3,2,4]=>101 [1,3,4,2]=>100 [1,4,2,3]=>100 [1,4,3,2]=>100 [2,1,3,4]=>011 [2,1,4,3]=>010 [2,3,1,4]=>001 [2,3,4,1]=>000 [2,4,1,3]=>000 [2,4,3,1]=>000 [3,1,2,4]=>001 [3,1,4,2]=>000 [3,2,1,4]=>001 [3,2,4,1]=>000 [3,4,1,2]=>000 [3,4,2,1]=>000 [4,1,2,3]=>000 [4,1,3,2]=>000 [4,2,1,3]=>000 [4,2,3,1]=>000 [4,3,1,2]=>000 [4,3,2,1]=>000 [1,2,3,4,5]=>1111 [1,2,3,5,4]=>1110 [1,2,4,3,5]=>1101 [1,2,4,5,3]=>1100 [1,2,5,3,4]=>1100 [1,2,5,4,3]=>1100 [1,3,2,4,5]=>1011 [1,3,2,5,4]=>1010 [1,3,4,2,5]=>1001 [1,3,4,5,2]=>1000 [1,3,5,2,4]=>1000 [1,3,5,4,2]=>1000 [1,4,2,3,5]=>1001 [1,4,2,5,3]=>1000 [1,4,3,2,5]=>1001 [1,4,3,5,2]=>1000 [1,4,5,2,3]=>1000 [1,4,5,3,2]=>1000 [1,5,2,3,4]=>1000 [1,5,2,4,3]=>1000 [1,5,3,2,4]=>1000 [1,5,3,4,2]=>1000 [1,5,4,2,3]=>1000 [1,5,4,3,2]=>1000 [2,1,3,4,5]=>0111 [2,1,3,5,4]=>0110 [2,1,4,3,5]=>0101 [2,1,4,5,3]=>0100 [2,1,5,3,4]=>0100 [2,1,5,4,3]=>0100 [2,3,1,4,5]=>0011 [2,3,1,5,4]=>0010 [2,3,4,1,5]=>0001 [2,3,4,5,1]=>0000 [2,3,5,1,4]=>0000 [2,3,5,4,1]=>0000 [2,4,1,3,5]=>0001 [2,4,1,5,3]=>0000 [2,4,3,1,5]=>0001 [2,4,3,5,1]=>0000 [2,4,5,1,3]=>0000 [2,4,5,3,1]=>0000 [2,5,1,3,4]=>0000 [2,5,1,4,3]=>0000 [2,5,3,1,4]=>0000 [2,5,3,4,1]=>0000 [2,5,4,1,3]=>0000 [2,5,4,3,1]=>0000 [3,1,2,4,5]=>0011 [3,1,2,5,4]=>0010 [3,1,4,2,5]=>0001 [3,1,4,5,2]=>0000 [3,1,5,2,4]=>0000 [3,1,5,4,2]=>0000 [3,2,1,4,5]=>0011 [3,2,1,5,4]=>0010 [3,2,4,1,5]=>0001 [3,2,4,5,1]=>0000 [3,2,5,1,4]=>0000 [3,2,5,4,1]=>0000 [3,4,1,2,5]=>0001 [3,4,1,5,2]=>0000 [3,4,2,1,5]=>0001 [3,4,2,5,1]=>0000 [3,4,5,1,2]=>0000 [3,4,5,2,1]=>0000 [3,5,1,2,4]=>0000 [3,5,1,4,2]=>0000 [3,5,2,1,4]=>0000 [3,5,2,4,1]=>0000 [3,5,4,1,2]=>0000 [3,5,4,2,1]=>0000 [4,1,2,3,5]=>0001 [4,1,2,5,3]=>0000 [4,1,3,2,5]=>0001 [4,1,3,5,2]=>0000 [4,1,5,2,3]=>0000 [4,1,5,3,2]=>0000 [4,2,1,3,5]=>0001 [4,2,1,5,3]=>0000 [4,2,3,1,5]=>0001 [4,2,3,5,1]=>0000 [4,2,5,1,3]=>0000 [4,2,5,3,1]=>0000 [4,3,1,2,5]=>0001 [4,3,1,5,2]=>0000 [4,3,2,1,5]=>0001 [4,3,2,5,1]=>0000 [4,3,5,1,2]=>0000 [4,3,5,2,1]=>0000 [4,5,1,2,3]=>0000 [4,5,1,3,2]=>0000 [4,5,2,1,3]=>0000 [4,5,2,3,1]=>0000 [4,5,3,1,2]=>0000 [4,5,3,2,1]=>0000 [5,1,2,3,4]=>0000 [5,1,2,4,3]=>0000 [5,1,3,2,4]=>0000 [5,1,3,4,2]=>0000 [5,1,4,2,3]=>0000 [5,1,4,3,2]=>0000 [5,2,1,3,4]=>0000 [5,2,1,4,3]=>0000 [5,2,3,1,4]=>0000 [5,2,3,4,1]=>0000 [5,2,4,1,3]=>0000 [5,2,4,3,1]=>0000 [5,3,1,2,4]=>0000 [5,3,1,4,2]=>0000 [5,3,2,1,4]=>0000 [5,3,2,4,1]=>0000 [5,3,4,1,2]=>0000 [5,3,4,2,1]=>0000 [5,4,1,2,3]=>0000 [5,4,1,3,2]=>0000 [5,4,2,1,3]=>0000 [5,4,2,3,1]=>0000 [5,4,3,1,2]=>0000 [5,4,3,2,1]=>0000 [1,2,3,4,5,6]=>11111 [1,2,3,4,6,5]=>11110 [1,2,3,5,4,6]=>11101 [1,2,3,5,6,4]=>11100 [1,2,3,6,4,5]=>11100 [1,2,3,6,5,4]=>11100 [1,2,4,3,5,6]=>11011 [1,2,4,3,6,5]=>11010 [1,2,4,5,3,6]=>11001 [1,2,4,5,6,3]=>11000 [1,2,4,6,3,5]=>11000 [1,2,4,6,5,3]=>11000 [1,2,5,3,4,6]=>11001 [1,2,5,3,6,4]=>11000 [1,2,5,4,3,6]=>11001 [1,2,5,4,6,3]=>11000 [1,2,5,6,3,4]=>11000 [1,2,5,6,4,3]=>11000 [1,2,6,3,4,5]=>11000 [1,2,6,3,5,4]=>11000 [1,2,6,4,3,5]=>11000 [1,2,6,4,5,3]=>11000 [1,2,6,5,3,4]=>11000 [1,2,6,5,4,3]=>11000 [1,3,2,4,5,6]=>10111 [1,3,2,4,6,5]=>10110 [1,3,2,5,4,6]=>10101 [1,3,2,5,6,4]=>10100 [1,3,2,6,4,5]=>10100 [1,3,2,6,5,4]=>10100 [1,3,4,2,5,6]=>10011 [1,3,4,2,6,5]=>10010 [1,3,4,5,2,6]=>10001 [1,3,4,5,6,2]=>10000 [1,3,4,6,2,5]=>10000 [1,3,4,6,5,2]=>10000 [1,3,5,2,4,6]=>10001 [1,3,5,2,6,4]=>10000 [1,3,5,4,2,6]=>10001 [1,3,5,4,6,2]=>10000 [1,3,5,6,2,4]=>10000 [1,3,5,6,4,2]=>10000 [1,3,6,2,4,5]=>10000 [1,3,6,2,5,4]=>10000 [1,3,6,4,2,5]=>10000 [1,3,6,4,5,2]=>10000 [1,3,6,5,2,4]=>10000 [1,3,6,5,4,2]=>10000 [1,4,2,3,5,6]=>10011 [1,4,2,3,6,5]=>10010 [1,4,2,5,3,6]=>10001 [1,4,2,5,6,3]=>10000 [1,4,2,6,3,5]=>10000 [1,4,2,6,5,3]=>10000 [1,4,3,2,5,6]=>10011 [1,4,3,2,6,5]=>10010 [1,4,3,5,2,6]=>10001 [1,4,3,5,6,2]=>10000 [1,4,3,6,2,5]=>10000 [1,4,3,6,5,2]=>10000 [1,4,5,2,3,6]=>10001 [1,4,5,2,6,3]=>10000 [1,4,5,3,2,6]=>10001 [1,4,5,3,6,2]=>10000 [1,4,5,6,2,3]=>10000 [1,4,5,6,3,2]=>10000 [1,4,6,2,3,5]=>10000 [1,4,6,2,5,3]=>10000 [1,4,6,3,2,5]=>10000 [1,4,6,3,5,2]=>10000 [1,4,6,5,2,3]=>10000 [1,4,6,5,3,2]=>10000 [1,5,2,3,4,6]=>10001 [1,5,2,3,6,4]=>10000 [1,5,2,4,3,6]=>10001 [1,5,2,4,6,3]=>10000 [1,5,2,6,3,4]=>10000 [1,5,2,6,4,3]=>10000 [1,5,3,2,4,6]=>10001 [1,5,3,2,6,4]=>10000 [1,5,3,4,2,6]=>10001 [1,5,3,4,6,2]=>10000 [1,5,3,6,2,4]=>10000 [1,5,3,6,4,2]=>10000 [1,5,4,2,3,6]=>10001 [1,5,4,2,6,3]=>10000 [1,5,4,3,2,6]=>10001 [1,5,4,3,6,2]=>10000 [1,5,4,6,2,3]=>10000 [1,5,4,6,3,2]=>10000 [1,5,6,2,3,4]=>10000 [1,5,6,2,4,3]=>10000 [1,5,6,3,2,4]=>10000 [1,5,6,3,4,2]=>10000 [1,5,6,4,2,3]=>10000 [1,5,6,4,3,2]=>10000 [1,6,2,3,4,5]=>10000 [1,6,2,3,5,4]=>10000 [1,6,2,4,3,5]=>10000 [1,6,2,4,5,3]=>10000 [1,6,2,5,3,4]=>10000 [1,6,2,5,4,3]=>10000 [1,6,3,2,4,5]=>10000 [1,6,3,2,5,4]=>10000 [1,6,3,4,2,5]=>10000 [1,6,3,4,5,2]=>10000 [1,6,3,5,2,4]=>10000 [1,6,3,5,4,2]=>10000 [1,6,4,2,3,5]=>10000 [1,6,4,2,5,3]=>10000 [1,6,4,3,2,5]=>10000 [1,6,4,3,5,2]=>10000 [1,6,4,5,2,3]=>10000 [1,6,4,5,3,2]=>10000 [1,6,5,2,3,4]=>10000 [1,6,5,2,4,3]=>10000 [1,6,5,3,2,4]=>10000 [1,6,5,3,4,2]=>10000 [1,6,5,4,2,3]=>10000 [1,6,5,4,3,2]=>10000 [2,1,3,4,5,6]=>01111 [2,1,3,4,6,5]=>01110 [2,1,3,5,4,6]=>01101 [2,1,3,5,6,4]=>01100 [2,1,3,6,4,5]=>01100 [2,1,3,6,5,4]=>01100 [2,1,4,3,5,6]=>01011 [2,1,4,3,6,5]=>01010 [2,1,4,5,3,6]=>01001 [2,1,4,5,6,3]=>01000 [2,1,4,6,3,5]=>01000 [2,1,4,6,5,3]=>01000 [2,1,5,3,4,6]=>01001 [2,1,5,3,6,4]=>01000 [2,1,5,4,3,6]=>01001 [2,1,5,4,6,3]=>01000 [2,1,5,6,3,4]=>01000 [2,1,5,6,4,3]=>01000 [2,1,6,3,4,5]=>01000 [2,1,6,3,5,4]=>01000 [2,1,6,4,3,5]=>01000 [2,1,6,4,5,3]=>01000 [2,1,6,5,3,4]=>01000 [2,1,6,5,4,3]=>01000 [2,3,1,4,5,6]=>00111 [2,3,1,4,6,5]=>00110 [2,3,1,5,4,6]=>00101 [2,3,1,5,6,4]=>00100 [2,3,1,6,4,5]=>00100 [2,3,1,6,5,4]=>00100 [2,3,4,1,5,6]=>00011 [2,3,4,1,6,5]=>00010 [2,3,4,5,1,6]=>00001 [2,3,4,5,6,1]=>00000 [2,3,4,6,1,5]=>00000 [2,3,4,6,5,1]=>00000 [2,3,5,1,4,6]=>00001 [2,3,5,1,6,4]=>00000 [2,3,5,4,1,6]=>00001 [2,3,5,4,6,1]=>00000 [2,3,5,6,1,4]=>00000 [2,3,5,6,4,1]=>00000 [2,3,6,1,4,5]=>00000 [2,3,6,1,5,4]=>00000 [2,3,6,4,1,5]=>00000 [2,3,6,4,5,1]=>00000 [2,3,6,5,1,4]=>00000 [2,3,6,5,4,1]=>00000 [2,4,1,3,5,6]=>00011 [2,4,1,3,6,5]=>00010 [2,4,1,5,3,6]=>00001 [2,4,1,5,6,3]=>00000 [2,4,1,6,3,5]=>00000 [2,4,1,6,5,3]=>00000 [2,4,3,1,5,6]=>00011 [2,4,3,1,6,5]=>00010 [2,4,3,5,1,6]=>00001 [2,4,3,5,6,1]=>00000 [2,4,3,6,1,5]=>00000 [2,4,3,6,5,1]=>00000 [2,4,5,1,3,6]=>00001 [2,4,5,1,6,3]=>00000 [2,4,5,3,1,6]=>00001 [2,4,5,3,6,1]=>00000 [2,4,5,6,1,3]=>00000 [2,4,5,6,3,1]=>00000 [2,4,6,1,3,5]=>00000 [2,4,6,1,5,3]=>00000 [2,4,6,3,1,5]=>00000 [2,4,6,3,5,1]=>00000 [2,4,6,5,1,3]=>00000 [2,4,6,5,3,1]=>00000 [2,5,1,3,4,6]=>00001 [2,5,1,3,6,4]=>00000 [2,5,1,4,3,6]=>00001 [2,5,1,4,6,3]=>00000 [2,5,1,6,3,4]=>00000 [2,5,1,6,4,3]=>00000 [2,5,3,1,4,6]=>00001 [2,5,3,1,6,4]=>00000 [2,5,3,4,1,6]=>00001 [2,5,3,4,6,1]=>00000 [2,5,3,6,1,4]=>00000 [2,5,3,6,4,1]=>00000 [2,5,4,1,3,6]=>00001 [2,5,4,1,6,3]=>00000 [2,5,4,3,1,6]=>00001 [2,5,4,3,6,1]=>00000 [2,5,4,6,1,3]=>00000 [2,5,4,6,3,1]=>00000 [2,5,6,1,3,4]=>00000 [2,5,6,1,4,3]=>00000 [2,5,6,3,1,4]=>00000 [2,5,6,3,4,1]=>00000 [2,5,6,4,1,3]=>00000 [2,5,6,4,3,1]=>00000 [2,6,1,3,4,5]=>00000 [2,6,1,3,5,4]=>00000 [2,6,1,4,3,5]=>00000 [2,6,1,4,5,3]=>00000 [2,6,1,5,3,4]=>00000 [2,6,1,5,4,3]=>00000 [2,6,3,1,4,5]=>00000 [2,6,3,1,5,4]=>00000 [2,6,3,4,1,5]=>00000 [2,6,3,4,5,1]=>00000 [2,6,3,5,1,4]=>00000 [2,6,3,5,4,1]=>00000 [2,6,4,1,3,5]=>00000 [2,6,4,1,5,3]=>00000 [2,6,4,3,1,5]=>00000 [2,6,4,3,5,1]=>00000 [2,6,4,5,1,3]=>00000 [2,6,4,5,3,1]=>00000 [2,6,5,1,3,4]=>00000 [2,6,5,1,4,3]=>00000 [2,6,5,3,1,4]=>00000 [2,6,5,3,4,1]=>00000 [2,6,5,4,1,3]=>00000 [2,6,5,4,3,1]=>00000 [3,1,2,4,5,6]=>00111 [3,1,2,4,6,5]=>00110 [3,1,2,5,4,6]=>00101 [3,1,2,5,6,4]=>00100 [3,1,2,6,4,5]=>00100 [3,1,2,6,5,4]=>00100 [3,1,4,2,5,6]=>00011 [3,1,4,2,6,5]=>00010 [3,1,4,5,2,6]=>00001 [3,1,4,5,6,2]=>00000 [3,1,4,6,2,5]=>00000 [3,1,4,6,5,2]=>00000 [3,1,5,2,4,6]=>00001 [3,1,5,2,6,4]=>00000 [3,1,5,4,2,6]=>00001 [3,1,5,4,6,2]=>00000 [3,1,5,6,2,4]=>00000 [3,1,5,6,4,2]=>00000 [3,1,6,2,4,5]=>00000 [3,1,6,2,5,4]=>00000 [3,1,6,4,2,5]=>00000 [3,1,6,4,5,2]=>00000 [3,1,6,5,2,4]=>00000 [3,1,6,5,4,2]=>00000 [3,2,1,4,5,6]=>00111 [3,2,1,4,6,5]=>00110 [3,2,1,5,4,6]=>00101 [3,2,1,5,6,4]=>00100 [3,2,1,6,4,5]=>00100 [3,2,1,6,5,4]=>00100 [3,2,4,1,5,6]=>00011 [3,2,4,1,6,5]=>00010 [3,2,4,5,1,6]=>00001 [3,2,4,5,6,1]=>00000 [3,2,4,6,1,5]=>00000 [3,2,4,6,5,1]=>00000 [3,2,5,1,4,6]=>00001 [3,2,5,1,6,4]=>00000 [3,2,5,4,1,6]=>00001 [3,2,5,4,6,1]=>00000 [3,2,5,6,1,4]=>00000 [3,2,5,6,4,1]=>00000 [3,2,6,1,4,5]=>00000 [3,2,6,1,5,4]=>00000 [3,2,6,4,1,5]=>00000 [3,2,6,4,5,1]=>00000 [3,2,6,5,1,4]=>00000 [3,2,6,5,4,1]=>00000 [3,4,1,2,5,6]=>00011 [3,4,1,2,6,5]=>00010 [3,4,1,5,2,6]=>00001 [3,4,1,5,6,2]=>00000 [3,4,1,6,2,5]=>00000 [3,4,1,6,5,2]=>00000 [3,4,2,1,5,6]=>00011 [3,4,2,1,6,5]=>00010 [3,4,2,5,1,6]=>00001 [3,4,2,5,6,1]=>00000 [3,4,2,6,1,5]=>00000 [3,4,2,6,5,1]=>00000 [3,4,5,1,2,6]=>00001 [3,4,5,1,6,2]=>00000 [3,4,5,2,1,6]=>00001 [3,4,5,2,6,1]=>00000 [3,4,5,6,1,2]=>00000 [3,4,5,6,2,1]=>00000 [3,4,6,1,2,5]=>00000 [3,4,6,1,5,2]=>00000 [3,4,6,2,1,5]=>00000 [3,4,6,2,5,1]=>00000 [3,4,6,5,1,2]=>00000 [3,4,6,5,2,1]=>00000 [3,5,1,2,4,6]=>00001 [3,5,1,2,6,4]=>00000 [3,5,1,4,2,6]=>00001 [3,5,1,4,6,2]=>00000 [3,5,1,6,2,4]=>00000 [3,5,1,6,4,2]=>00000 [3,5,2,1,4,6]=>00001 [3,5,2,1,6,4]=>00000 [3,5,2,4,1,6]=>00001 [3,5,2,4,6,1]=>00000 [3,5,2,6,1,4]=>00000 [3,5,2,6,4,1]=>00000 [3,5,4,1,2,6]=>00001 [3,5,4,1,6,2]=>00000 [3,5,4,2,1,6]=>00001 [3,5,4,2,6,1]=>00000 [3,5,4,6,1,2]=>00000 [3,5,4,6,2,1]=>00000 [3,5,6,1,2,4]=>00000 [3,5,6,1,4,2]=>00000 [3,5,6,2,1,4]=>00000 [3,5,6,2,4,1]=>00000 [3,5,6,4,1,2]=>00000 [3,5,6,4,2,1]=>00000 [3,6,1,2,4,5]=>00000 [3,6,1,2,5,4]=>00000 [3,6,1,4,2,5]=>00000 [3,6,1,4,5,2]=>00000 [3,6,1,5,2,4]=>00000 [3,6,1,5,4,2]=>00000 [3,6,2,1,4,5]=>00000 [3,6,2,1,5,4]=>00000 [3,6,2,4,1,5]=>00000 [3,6,2,4,5,1]=>00000 [3,6,2,5,1,4]=>00000 [3,6,2,5,4,1]=>00000 [3,6,4,1,2,5]=>00000 [3,6,4,1,5,2]=>00000 [3,6,4,2,1,5]=>00000 [3,6,4,2,5,1]=>00000 [3,6,4,5,1,2]=>00000 [3,6,4,5,2,1]=>00000 [3,6,5,1,2,4]=>00000 [3,6,5,1,4,2]=>00000 [3,6,5,2,1,4]=>00000 [3,6,5,2,4,1]=>00000 [3,6,5,4,1,2]=>00000 [3,6,5,4,2,1]=>00000 [4,1,2,3,5,6]=>00011 [4,1,2,3,6,5]=>00010 [4,1,2,5,3,6]=>00001 [4,1,2,5,6,3]=>00000 [4,1,2,6,3,5]=>00000 [4,1,2,6,5,3]=>00000 [4,1,3,2,5,6]=>00011 [4,1,3,2,6,5]=>00010 [4,1,3,5,2,6]=>00001 [4,1,3,5,6,2]=>00000 [4,1,3,6,2,5]=>00000 [4,1,3,6,5,2]=>00000 [4,1,5,2,3,6]=>00001 [4,1,5,2,6,3]=>00000 [4,1,5,3,2,6]=>00001 [4,1,5,3,6,2]=>00000 [4,1,5,6,2,3]=>00000 [4,1,5,6,3,2]=>00000 [4,1,6,2,3,5]=>00000 [4,1,6,2,5,3]=>00000 [4,1,6,3,2,5]=>00000 [4,1,6,3,5,2]=>00000 [4,1,6,5,2,3]=>00000 [4,1,6,5,3,2]=>00000 [4,2,1,3,5,6]=>00011 [4,2,1,3,6,5]=>00010 [4,2,1,5,3,6]=>00001 [4,2,1,5,6,3]=>00000 [4,2,1,6,3,5]=>00000 [4,2,1,6,5,3]=>00000 [4,2,3,1,5,6]=>00011 [4,2,3,1,6,5]=>00010 [4,2,3,5,1,6]=>00001 [4,2,3,5,6,1]=>00000 [4,2,3,6,1,5]=>00000 [4,2,3,6,5,1]=>00000 [4,2,5,1,3,6]=>00001 [4,2,5,1,6,3]=>00000 [4,2,5,3,1,6]=>00001 [4,2,5,3,6,1]=>00000 [4,2,5,6,1,3]=>00000 [4,2,5,6,3,1]=>00000 [4,2,6,1,3,5]=>00000 [4,2,6,1,5,3]=>00000 [4,2,6,3,1,5]=>00000 [4,2,6,3,5,1]=>00000 [4,2,6,5,1,3]=>00000 [4,2,6,5,3,1]=>00000 [4,3,1,2,5,6]=>00011 [4,3,1,2,6,5]=>00010 [4,3,1,5,2,6]=>00001 [4,3,1,5,6,2]=>00000 [4,3,1,6,2,5]=>00000 [4,3,1,6,5,2]=>00000 [4,3,2,1,5,6]=>00011 [4,3,2,1,6,5]=>00010 [4,3,2,5,1,6]=>00001 [4,3,2,5,6,1]=>00000 [4,3,2,6,1,5]=>00000 [4,3,2,6,5,1]=>00000 [4,3,5,1,2,6]=>00001 [4,3,5,1,6,2]=>00000 [4,3,5,2,1,6]=>00001 [4,3,5,2,6,1]=>00000 [4,3,5,6,1,2]=>00000 [4,3,5,6,2,1]=>00000 [4,3,6,1,2,5]=>00000 [4,3,6,1,5,2]=>00000 [4,3,6,2,1,5]=>00000 [4,3,6,2,5,1]=>00000 [4,3,6,5,1,2]=>00000 [4,3,6,5,2,1]=>00000 [4,5,1,2,3,6]=>00001 [4,5,1,2,6,3]=>00000 [4,5,1,3,2,6]=>00001 [4,5,1,3,6,2]=>00000 [4,5,1,6,2,3]=>00000 [4,5,1,6,3,2]=>00000 [4,5,2,1,3,6]=>00001 [4,5,2,1,6,3]=>00000 [4,5,2,3,1,6]=>00001 [4,5,2,3,6,1]=>00000 [4,5,2,6,1,3]=>00000 [4,5,2,6,3,1]=>00000 [4,5,3,1,2,6]=>00001 [4,5,3,1,6,2]=>00000 [4,5,3,2,1,6]=>00001 [4,5,3,2,6,1]=>00000 [4,5,3,6,1,2]=>00000 [4,5,3,6,2,1]=>00000 [4,5,6,1,2,3]=>00000 [4,5,6,1,3,2]=>00000 [4,5,6,2,1,3]=>00000 [4,5,6,2,3,1]=>00000 [4,5,6,3,1,2]=>00000 [4,5,6,3,2,1]=>00000 [4,6,1,2,3,5]=>00000 [4,6,1,2,5,3]=>00000 [4,6,1,3,2,5]=>00000 [4,6,1,3,5,2]=>00000 [4,6,1,5,2,3]=>00000 [4,6,1,5,3,2]=>00000 [4,6,2,1,3,5]=>00000 [4,6,2,1,5,3]=>00000 [4,6,2,3,1,5]=>00000 [4,6,2,3,5,1]=>00000 [4,6,2,5,1,3]=>00000 [4,6,2,5,3,1]=>00000 [4,6,3,1,2,5]=>00000 [4,6,3,1,5,2]=>00000 [4,6,3,2,1,5]=>00000 [4,6,3,2,5,1]=>00000 [4,6,3,5,1,2]=>00000 [4,6,3,5,2,1]=>00000 [4,6,5,1,2,3]=>00000 [4,6,5,1,3,2]=>00000 [4,6,5,2,1,3]=>00000 [4,6,5,2,3,1]=>00000 [4,6,5,3,1,2]=>00000 [4,6,5,3,2,1]=>00000 [5,1,2,3,4,6]=>00001 [5,1,2,3,6,4]=>00000 [5,1,2,4,3,6]=>00001 [5,1,2,4,6,3]=>00000 [5,1,2,6,3,4]=>00000 [5,1,2,6,4,3]=>00000 [5,1,3,2,4,6]=>00001 [5,1,3,2,6,4]=>00000 [5,1,3,4,2,6]=>00001 [5,1,3,4,6,2]=>00000 [5,1,3,6,2,4]=>00000 [5,1,3,6,4,2]=>00000 [5,1,4,2,3,6]=>00001 [5,1,4,2,6,3]=>00000 [5,1,4,3,2,6]=>00001 [5,1,4,3,6,2]=>00000 [5,1,4,6,2,3]=>00000 [5,1,4,6,3,2]=>00000 [5,1,6,2,3,4]=>00000 [5,1,6,2,4,3]=>00000 [5,1,6,3,2,4]=>00000 [5,1,6,3,4,2]=>00000 [5,1,6,4,2,3]=>00000 [5,1,6,4,3,2]=>00000 [5,2,1,3,4,6]=>00001 [5,2,1,3,6,4]=>00000 [5,2,1,4,3,6]=>00001 [5,2,1,4,6,3]=>00000 [5,2,1,6,3,4]=>00000 [5,2,1,6,4,3]=>00000 [5,2,3,1,4,6]=>00001 [5,2,3,1,6,4]=>00000 [5,2,3,4,1,6]=>00001 [5,2,3,4,6,1]=>00000 [5,2,3,6,1,4]=>00000 [5,2,3,6,4,1]=>00000 [5,2,4,1,3,6]=>00001 [5,2,4,1,6,3]=>00000 [5,2,4,3,1,6]=>00001 [5,2,4,3,6,1]=>00000 [5,2,4,6,1,3]=>00000 [5,2,4,6,3,1]=>00000 [5,2,6,1,3,4]=>00000 [5,2,6,1,4,3]=>00000 [5,2,6,3,1,4]=>00000 [5,2,6,3,4,1]=>00000 [5,2,6,4,1,3]=>00000 [5,2,6,4,3,1]=>00000 [5,3,1,2,4,6]=>00001 [5,3,1,2,6,4]=>00000 [5,3,1,4,2,6]=>00001 [5,3,1,4,6,2]=>00000 [5,3,1,6,2,4]=>00000 [5,3,1,6,4,2]=>00000 [5,3,2,1,4,6]=>00001 [5,3,2,1,6,4]=>00000 [5,3,2,4,1,6]=>00001 [5,3,2,4,6,1]=>00000 [5,3,2,6,1,4]=>00000 [5,3,2,6,4,1]=>00000 [5,3,4,1,2,6]=>00001 [5,3,4,1,6,2]=>00000 [5,3,4,2,1,6]=>00001 [5,3,4,2,6,1]=>00000 [5,3,4,6,1,2]=>00000 [5,3,4,6,2,1]=>00000 [5,3,6,1,2,4]=>00000 [5,3,6,1,4,2]=>00000 [5,3,6,2,1,4]=>00000 [5,3,6,2,4,1]=>00000 [5,3,6,4,1,2]=>00000 [5,3,6,4,2,1]=>00000 [5,4,1,2,3,6]=>00001 [5,4,1,2,6,3]=>00000 [5,4,1,3,2,6]=>00001 [5,4,1,3,6,2]=>00000 [5,4,1,6,2,3]=>00000 [5,4,1,6,3,2]=>00000 [5,4,2,1,3,6]=>00001 [5,4,2,1,6,3]=>00000 [5,4,2,3,1,6]=>00001 [5,4,2,3,6,1]=>00000 [5,4,2,6,1,3]=>00000 [5,4,2,6,3,1]=>00000 [5,4,3,1,2,6]=>00001 [5,4,3,1,6,2]=>00000 [5,4,3,2,1,6]=>00001 [5,4,3,2,6,1]=>00000 [5,4,3,6,1,2]=>00000 [5,4,3,6,2,1]=>00000 [5,4,6,1,2,3]=>00000 [5,4,6,1,3,2]=>00000 [5,4,6,2,1,3]=>00000 [5,4,6,2,3,1]=>00000 [5,4,6,3,1,2]=>00000 [5,4,6,3,2,1]=>00000 [5,6,1,2,3,4]=>00000 [5,6,1,2,4,3]=>00000 [5,6,1,3,2,4]=>00000 [5,6,1,3,4,2]=>00000 [5,6,1,4,2,3]=>00000 [5,6,1,4,3,2]=>00000 [5,6,2,1,3,4]=>00000 [5,6,2,1,4,3]=>00000 [5,6,2,3,1,4]=>00000 [5,6,2,3,4,1]=>00000 [5,6,2,4,1,3]=>00000 [5,6,2,4,3,1]=>00000 [5,6,3,1,2,4]=>00000 [5,6,3,1,4,2]=>00000 [5,6,3,2,1,4]=>00000 [5,6,3,2,4,1]=>00000 [5,6,3,4,1,2]=>00000 [5,6,3,4,2,1]=>00000 [5,6,4,1,2,3]=>00000 [5,6,4,1,3,2]=>00000 [5,6,4,2,1,3]=>00000 [5,6,4,2,3,1]=>00000 [5,6,4,3,1,2]=>00000 [5,6,4,3,2,1]=>00000 [6,1,2,3,4,5]=>00000 [6,1,2,3,5,4]=>00000 [6,1,2,4,3,5]=>00000 [6,1,2,4,5,3]=>00000 [6,1,2,5,3,4]=>00000 [6,1,2,5,4,3]=>00000 [6,1,3,2,4,5]=>00000 [6,1,3,2,5,4]=>00000 [6,1,3,4,2,5]=>00000 [6,1,3,4,5,2]=>00000 [6,1,3,5,2,4]=>00000 [6,1,3,5,4,2]=>00000 [6,1,4,2,3,5]=>00000 [6,1,4,2,5,3]=>00000 [6,1,4,3,2,5]=>00000 [6,1,4,3,5,2]=>00000 [6,1,4,5,2,3]=>00000 [6,1,4,5,3,2]=>00000 [6,1,5,2,3,4]=>00000 [6,1,5,2,4,3]=>00000 [6,1,5,3,2,4]=>00000 [6,1,5,3,4,2]=>00000 [6,1,5,4,2,3]=>00000 [6,1,5,4,3,2]=>00000 [6,2,1,3,4,5]=>00000 [6,2,1,3,5,4]=>00000 [6,2,1,4,3,5]=>00000 [6,2,1,4,5,3]=>00000 [6,2,1,5,3,4]=>00000 [6,2,1,5,4,3]=>00000 [6,2,3,1,4,5]=>00000 [6,2,3,1,5,4]=>00000 [6,2,3,4,1,5]=>00000 [6,2,3,4,5,1]=>00000 [6,2,3,5,1,4]=>00000 [6,2,3,5,4,1]=>00000 [6,2,4,1,3,5]=>00000 [6,2,4,1,5,3]=>00000 [6,2,4,3,1,5]=>00000 [6,2,4,3,5,1]=>00000 [6,2,4,5,1,3]=>00000 [6,2,4,5,3,1]=>00000 [6,2,5,1,3,4]=>00000 [6,2,5,1,4,3]=>00000 [6,2,5,3,1,4]=>00000 [6,2,5,3,4,1]=>00000 [6,2,5,4,1,3]=>00000 [6,2,5,4,3,1]=>00000 [6,3,1,2,4,5]=>00000 [6,3,1,2,5,4]=>00000 [6,3,1,4,2,5]=>00000 [6,3,1,4,5,2]=>00000 [6,3,1,5,2,4]=>00000 [6,3,1,5,4,2]=>00000 [6,3,2,1,4,5]=>00000 [6,3,2,1,5,4]=>00000 [6,3,2,4,1,5]=>00000 [6,3,2,4,5,1]=>00000 [6,3,2,5,1,4]=>00000 [6,3,2,5,4,1]=>00000 [6,3,4,1,2,5]=>00000 [6,3,4,1,5,2]=>00000 [6,3,4,2,1,5]=>00000 [6,3,4,2,5,1]=>00000 [6,3,4,5,1,2]=>00000 [6,3,4,5,2,1]=>00000 [6,3,5,1,2,4]=>00000 [6,3,5,1,4,2]=>00000 [6,3,5,2,1,4]=>00000 [6,3,5,2,4,1]=>00000 [6,3,5,4,1,2]=>00000 [6,3,5,4,2,1]=>00000 [6,4,1,2,3,5]=>00000 [6,4,1,2,5,3]=>00000 [6,4,1,3,2,5]=>00000 [6,4,1,3,5,2]=>00000 [6,4,1,5,2,3]=>00000 [6,4,1,5,3,2]=>00000 [6,4,2,1,3,5]=>00000 [6,4,2,1,5,3]=>00000 [6,4,2,3,1,5]=>00000 [6,4,2,3,5,1]=>00000 [6,4,2,5,1,3]=>00000 [6,4,2,5,3,1]=>00000 [6,4,3,1,2,5]=>00000 [6,4,3,1,5,2]=>00000 [6,4,3,2,1,5]=>00000 [6,4,3,2,5,1]=>00000 [6,4,3,5,1,2]=>00000 [6,4,3,5,2,1]=>00000 [6,4,5,1,2,3]=>00000 [6,4,5,1,3,2]=>00000 [6,4,5,2,1,3]=>00000 [6,4,5,2,3,1]=>00000 [6,4,5,3,1,2]=>00000 [6,4,5,3,2,1]=>00000 [6,5,1,2,3,4]=>00000 [6,5,1,2,4,3]=>00000 [6,5,1,3,2,4]=>00000 [6,5,1,3,4,2]=>00000 [6,5,1,4,2,3]=>00000 [6,5,1,4,3,2]=>00000 [6,5,2,1,3,4]=>00000 [6,5,2,1,4,3]=>00000 [6,5,2,3,1,4]=>00000 [6,5,2,3,4,1]=>00000 [6,5,2,4,1,3]=>00000 [6,5,2,4,3,1]=>00000 [6,5,3,1,2,4]=>00000 [6,5,3,1,4,2]=>00000 [6,5,3,2,1,4]=>00000 [6,5,3,2,4,1]=>00000 [6,5,3,4,1,2]=>00000 [6,5,3,4,2,1]=>00000 [6,5,4,1,2,3]=>00000 [6,5,4,1,3,2]=>00000 [6,5,4,2,1,3]=>00000 [6,5,4,2,3,1]=>00000 [6,5,4,3,1,2]=>00000 [6,5,4,3,2,1]=>00000 [1,2,3,4,5,6,7]=>111111 [1,2,3,4,5,7,6]=>111110 [1,2,3,4,6,5,7]=>111101 [1,2,3,4,6,7,5]=>111100 [1,2,3,4,7,5,6]=>111100 [1,2,3,4,7,6,5]=>111100 [1,2,3,5,4,6,7]=>111011 [1,2,3,5,4,7,6]=>111010 [1,2,3,5,6,4,7]=>111001 [1,2,3,5,6,7,4]=>111000 [1,2,3,5,7,4,6]=>111000 [1,2,3,5,7,6,4]=>111000 [1,2,3,6,4,5,7]=>111001 [1,2,3,6,4,7,5]=>111000 [1,2,3,6,5,4,7]=>111001 [1,2,3,6,5,7,4]=>111000 [1,2,3,6,7,4,5]=>111000 [1,2,3,6,7,5,4]=>111000 [1,2,3,7,4,5,6]=>111000 [1,2,3,7,4,6,5]=>111000 [1,2,3,7,5,4,6]=>111000 [1,2,3,7,5,6,4]=>111000 [1,2,3,7,6,4,5]=>111000 [1,2,3,7,6,5,4]=>111000 [1,2,4,3,5,6,7]=>110111 [1,2,4,3,5,7,6]=>110110 [1,2,4,3,6,5,7]=>110101 [1,2,4,3,6,7,5]=>110100 [1,2,4,3,7,5,6]=>110100 [1,2,4,3,7,6,5]=>110100 [1,2,4,5,3,6,7]=>110011 [1,2,4,5,3,7,6]=>110010 [1,2,4,5,6,3,7]=>110001 [1,2,4,5,6,7,3]=>110000 [1,2,4,5,7,3,6]=>110000 [1,2,4,5,7,6,3]=>110000 [1,2,4,6,3,5,7]=>110001 [1,2,4,6,3,7,5]=>110000 [1,2,4,6,5,3,7]=>110001 [1,2,4,6,5,7,3]=>110000 [1,2,4,6,7,3,5]=>110000 [1,2,4,6,7,5,3]=>110000 [1,2,4,7,3,5,6]=>110000 [1,2,4,7,3,6,5]=>110000 [1,2,4,7,5,3,6]=>110000 [1,2,4,7,5,6,3]=>110000 [1,2,4,7,6,3,5]=>110000 [1,2,4,7,6,5,3]=>110000 [1,2,5,3,4,6,7]=>110011 [1,2,5,3,4,7,6]=>110010 [1,2,5,3,6,4,7]=>110001 [1,2,5,3,6,7,4]=>110000 [1,2,5,3,7,4,6]=>110000 [1,2,5,3,7,6,4]=>110000 [1,2,5,4,3,6,7]=>110011 [1,2,5,4,3,7,6]=>110010 [1,2,5,4,6,3,7]=>110001 [1,2,5,4,6,7,3]=>110000 [1,2,5,4,7,3,6]=>110000 [1,2,5,4,7,6,3]=>110000 [1,2,5,6,3,4,7]=>110001 [1,2,5,6,3,7,4]=>110000 [1,2,5,6,4,3,7]=>110001 [1,2,5,6,4,7,3]=>110000 [1,2,5,6,7,3,4]=>110000 [1,2,5,6,7,4,3]=>110000 [1,2,5,7,3,4,6]=>110000 [1,2,5,7,3,6,4]=>110000 [1,2,5,7,4,3,6]=>110000 [1,2,5,7,4,6,3]=>110000 [1,2,5,7,6,3,4]=>110000 [1,2,5,7,6,4,3]=>110000 [1,2,6,3,4,5,7]=>110001 [1,2,6,3,4,7,5]=>110000 [1,2,6,3,5,4,7]=>110001 [1,2,6,3,5,7,4]=>110000 [1,2,6,3,7,4,5]=>110000 [1,2,6,3,7,5,4]=>110000 [1,2,6,4,3,5,7]=>110001 [1,2,6,4,3,7,5]=>110000 [1,2,6,4,5,3,7]=>110001 [1,2,6,4,5,7,3]=>110000 [1,2,6,4,7,3,5]=>110000 [1,2,6,4,7,5,3]=>110000 [1,2,6,5,3,4,7]=>110001 [1,2,6,5,3,7,4]=>110000 [1,2,6,5,4,3,7]=>110001 [1,2,6,5,4,7,3]=>110000 [1,2,6,5,7,3,4]=>110000 [1,2,6,5,7,4,3]=>110000 [1,2,6,7,3,4,5]=>110000 [1,2,6,7,3,5,4]=>110000 [1,2,6,7,4,3,5]=>110000 [1,2,6,7,4,5,3]=>110000 [1,2,6,7,5,3,4]=>110000 [1,2,6,7,5,4,3]=>110000 [1,2,7,3,4,5,6]=>110000 [1,2,7,3,4,6,5]=>110000 [1,2,7,3,5,4,6]=>110000 [1,2,7,3,5,6,4]=>110000 [1,2,7,3,6,4,5]=>110000 [1,2,7,3,6,5,4]=>110000 [1,2,7,4,3,5,6]=>110000 [1,2,7,4,3,6,5]=>110000 [1,2,7,4,5,3,6]=>110000 [1,2,7,4,5,6,3]=>110000 [1,2,7,4,6,3,5]=>110000 [1,2,7,4,6,5,3]=>110000 [1,2,7,5,3,4,6]=>110000 [1,2,7,5,3,6,4]=>110000 [1,2,7,5,4,3,6]=>110000 [1,2,7,5,4,6,3]=>110000 [1,2,7,5,6,3,4]=>110000 [1,2,7,5,6,4,3]=>110000 [1,2,7,6,3,4,5]=>110000 [1,2,7,6,3,5,4]=>110000 [1,2,7,6,4,3,5]=>110000 [1,2,7,6,4,5,3]=>110000 [1,2,7,6,5,3,4]=>110000 [1,2,7,6,5,4,3]=>110000 [1,3,2,4,5,6,7]=>101111 [1,3,2,4,5,7,6]=>101110 [1,3,2,4,6,5,7]=>101101 [1,3,2,4,6,7,5]=>101100 [1,3,2,4,7,5,6]=>101100 [1,3,2,4,7,6,5]=>101100 [1,3,2,5,4,6,7]=>101011 [1,3,2,5,4,7,6]=>101010 [1,3,2,5,6,4,7]=>101001 [1,3,2,5,6,7,4]=>101000 [1,3,2,5,7,4,6]=>101000 [1,3,2,5,7,6,4]=>101000 [1,3,2,6,4,5,7]=>101001 [1,3,2,6,4,7,5]=>101000 [1,3,2,6,5,4,7]=>101001 [1,3,2,6,5,7,4]=>101000 [1,3,2,6,7,4,5]=>101000 [1,3,2,6,7,5,4]=>101000 [1,3,2,7,4,5,6]=>101000 [1,3,2,7,4,6,5]=>101000 [1,3,2,7,5,4,6]=>101000 [1,3,2,7,5,6,4]=>101000 [1,3,2,7,6,4,5]=>101000 [1,3,2,7,6,5,4]=>101000 [1,3,4,2,5,6,7]=>100111 [1,3,4,2,5,7,6]=>100110 [1,3,4,2,6,5,7]=>100101 [1,3,4,2,6,7,5]=>100100 [1,3,4,2,7,5,6]=>100100 [1,3,4,2,7,6,5]=>100100 [1,3,4,5,2,6,7]=>100011 [1,3,4,5,2,7,6]=>100010 [1,3,4,5,6,2,7]=>100001 [1,3,4,5,6,7,2]=>100000 [1,3,4,5,7,2,6]=>100000 [1,3,4,5,7,6,2]=>100000 [1,3,4,6,2,5,7]=>100001 [1,3,4,6,2,7,5]=>100000 [1,3,4,6,5,2,7]=>100001 [1,3,4,6,5,7,2]=>100000 [1,3,4,6,7,2,5]=>100000 [1,3,4,6,7,5,2]=>100000 [1,3,4,7,2,5,6]=>100000 [1,3,4,7,2,6,5]=>100000 [1,3,4,7,5,2,6]=>100000 [1,3,4,7,5,6,2]=>100000 [1,3,4,7,6,2,5]=>100000 [1,3,4,7,6,5,2]=>100000 [1,3,5,2,4,6,7]=>100011 [1,3,5,2,4,7,6]=>100010 [1,3,5,2,6,4,7]=>100001 [1,3,5,2,6,7,4]=>100000 [1,3,5,2,7,4,6]=>100000 [1,3,5,2,7,6,4]=>100000 [1,3,5,4,2,6,7]=>100011 [1,3,5,4,2,7,6]=>100010 [1,3,5,4,6,2,7]=>100001 [1,3,5,4,6,7,2]=>100000 [1,3,5,4,7,2,6]=>100000 [1,3,5,4,7,6,2]=>100000 [1,3,5,6,2,4,7]=>100001 [1,3,5,6,2,7,4]=>100000 [1,3,5,6,4,2,7]=>100001 [1,3,5,6,4,7,2]=>100000 [1,3,5,6,7,2,4]=>100000 [1,3,5,6,7,4,2]=>100000 [1,3,5,7,2,4,6]=>100000 [1,3,5,7,2,6,4]=>100000 [1,3,5,7,4,2,6]=>100000 [1,3,5,7,4,6,2]=>100000 [1,3,5,7,6,2,4]=>100000 [1,3,5,7,6,4,2]=>100000 [1,3,6,2,4,5,7]=>100001 [1,3,6,2,4,7,5]=>100000 [1,3,6,2,5,4,7]=>100001 [1,3,6,2,5,7,4]=>100000 [1,3,6,2,7,4,5]=>100000 [1,3,6,2,7,5,4]=>100000 [1,3,6,4,2,5,7]=>100001 [1,3,6,4,2,7,5]=>100000 [1,3,6,4,5,2,7]=>100001 [1,3,6,4,5,7,2]=>100000 [1,3,6,4,7,2,5]=>100000 [1,3,6,4,7,5,2]=>100000 [1,3,6,5,2,4,7]=>100001 [1,3,6,5,2,7,4]=>100000 [1,3,6,5,4,2,7]=>100001 [1,3,6,5,4,7,2]=>100000 [1,3,6,5,7,2,4]=>100000 [1,3,6,5,7,4,2]=>100000 [1,3,6,7,2,4,5]=>100000 [1,3,6,7,2,5,4]=>100000 [1,3,6,7,4,2,5]=>100000 [1,3,6,7,4,5,2]=>100000 [1,3,6,7,5,2,4]=>100000 [1,3,6,7,5,4,2]=>100000 [1,3,7,2,4,5,6]=>100000 [1,3,7,2,4,6,5]=>100000 [1,3,7,2,5,4,6]=>100000 [1,3,7,2,5,6,4]=>100000 [1,3,7,2,6,4,5]=>100000 [1,3,7,2,6,5,4]=>100000 [1,3,7,4,2,5,6]=>100000 [1,3,7,4,2,6,5]=>100000 [1,3,7,4,5,2,6]=>100000 [1,3,7,4,5,6,2]=>100000 [1,3,7,4,6,2,5]=>100000 [1,3,7,4,6,5,2]=>100000 [1,3,7,5,2,4,6]=>100000 [1,3,7,5,2,6,4]=>100000 [1,3,7,5,4,2,6]=>100000 [1,3,7,5,4,6,2]=>100000 [1,3,7,5,6,2,4]=>100000 [1,3,7,5,6,4,2]=>100000 [1,3,7,6,2,4,5]=>100000 [1,3,7,6,2,5,4]=>100000 [1,3,7,6,4,2,5]=>100000 [1,3,7,6,4,5,2]=>100000 [1,3,7,6,5,2,4]=>100000 [1,3,7,6,5,4,2]=>100000 [1,4,2,3,5,6,7]=>100111 [1,4,2,3,5,7,6]=>100110 [1,4,2,3,6,5,7]=>100101 [1,4,2,3,6,7,5]=>100100 [1,4,2,3,7,5,6]=>100100 [1,4,2,3,7,6,5]=>100100 [1,4,2,5,3,6,7]=>100011 [1,4,2,5,3,7,6]=>100010 [1,4,2,5,6,3,7]=>100001 [1,4,2,5,6,7,3]=>100000 [1,4,2,5,7,3,6]=>100000 [1,4,2,5,7,6,3]=>100000 [1,4,2,6,3,5,7]=>100001 [1,4,2,6,3,7,5]=>100000 [1,4,2,6,5,3,7]=>100001 [1,4,2,6,5,7,3]=>100000 [1,4,2,6,7,3,5]=>100000 [1,4,2,6,7,5,3]=>100000 [1,4,2,7,3,5,6]=>100000 [1,4,2,7,3,6,5]=>100000 [1,4,2,7,5,3,6]=>100000 [1,4,2,7,5,6,3]=>100000 [1,4,2,7,6,3,5]=>100000 [1,4,2,7,6,5,3]=>100000 [1,4,3,2,5,6,7]=>100111 [1,4,3,2,5,7,6]=>100110 [1,4,3,2,6,5,7]=>100101 [1,4,3,2,6,7,5]=>100100 [1,4,3,2,7,5,6]=>100100 [1,4,3,2,7,6,5]=>100100 [1,4,3,5,2,6,7]=>100011 [1,4,3,5,2,7,6]=>100010 [1,4,3,5,6,2,7]=>100001 [1,4,3,5,6,7,2]=>100000 [1,4,3,5,7,2,6]=>100000 [1,4,3,5,7,6,2]=>100000 [1,4,3,6,2,5,7]=>100001 [1,4,3,6,2,7,5]=>100000 [1,4,3,6,5,2,7]=>100001 [1,4,3,6,5,7,2]=>100000 [1,4,3,6,7,2,5]=>100000 [1,4,3,6,7,5,2]=>100000 [1,4,3,7,2,5,6]=>100000 [1,4,3,7,2,6,5]=>100000 [1,4,3,7,5,2,6]=>100000 [1,4,3,7,5,6,2]=>100000 [1,4,3,7,6,2,5]=>100000 [1,4,3,7,6,5,2]=>100000 [1,4,5,2,3,6,7]=>100011 [1,4,5,2,3,7,6]=>100010 [1,4,5,2,6,3,7]=>100001 [1,4,5,2,6,7,3]=>100000 [1,4,5,2,7,3,6]=>100000 [1,4,5,2,7,6,3]=>100000 [1,4,5,3,2,6,7]=>100011 [1,4,5,3,2,7,6]=>100010 [1,4,5,3,6,2,7]=>100001 [1,4,5,3,6,7,2]=>100000 [1,4,5,3,7,2,6]=>100000 [1,4,5,3,7,6,2]=>100000 [1,4,5,6,2,3,7]=>100001 [1,4,5,6,2,7,3]=>100000 [1,4,5,6,3,2,7]=>100001 [1,4,5,6,3,7,2]=>100000 [1,4,5,6,7,2,3]=>100000 [1,4,5,6,7,3,2]=>100000 [1,4,5,7,2,3,6]=>100000 [1,4,5,7,2,6,3]=>100000 [1,4,5,7,3,2,6]=>100000 [1,4,5,7,3,6,2]=>100000 [1,4,5,7,6,2,3]=>100000 [1,4,5,7,6,3,2]=>100000 [1,4,6,2,3,5,7]=>100001 [1,4,6,2,3,7,5]=>100000 [1,4,6,2,5,3,7]=>100001 [1,4,6,2,5,7,3]=>100000 [1,4,6,2,7,3,5]=>100000 [1,4,6,2,7,5,3]=>100000 [1,4,6,3,2,5,7]=>100001 [1,4,6,3,2,7,5]=>100000 [1,4,6,3,5,2,7]=>100001 [1,4,6,3,5,7,2]=>100000 [1,4,6,3,7,2,5]=>100000 [1,4,6,3,7,5,2]=>100000 [1,4,6,5,2,3,7]=>100001 [1,4,6,5,2,7,3]=>100000 [1,4,6,5,3,2,7]=>100001 [1,4,6,5,3,7,2]=>100000 [1,4,6,5,7,2,3]=>100000 [1,4,6,5,7,3,2]=>100000 [1,4,6,7,2,3,5]=>100000 [1,4,6,7,2,5,3]=>100000 [1,4,6,7,3,2,5]=>100000 [1,4,6,7,3,5,2]=>100000 [1,4,6,7,5,2,3]=>100000 [1,4,6,7,5,3,2]=>100000 [1,4,7,2,3,5,6]=>100000 [1,4,7,2,3,6,5]=>100000 [1,4,7,2,5,3,6]=>100000 [1,4,7,2,5,6,3]=>100000 [1,4,7,2,6,3,5]=>100000 [1,4,7,2,6,5,3]=>100000 [1,4,7,3,2,5,6]=>100000 [1,4,7,3,2,6,5]=>100000 [1,4,7,3,5,2,6]=>100000 [1,4,7,3,5,6,2]=>100000 [1,4,7,3,6,2,5]=>100000 [1,4,7,3,6,5,2]=>100000 [1,4,7,5,2,3,6]=>100000 [1,4,7,5,2,6,3]=>100000 [1,4,7,5,3,2,6]=>100000 [1,4,7,5,3,6,2]=>100000 [1,4,7,5,6,2,3]=>100000 [1,4,7,5,6,3,2]=>100000 [1,4,7,6,2,3,5]=>100000 [1,4,7,6,2,5,3]=>100000 [1,4,7,6,3,2,5]=>100000 [1,4,7,6,3,5,2]=>100000 [1,4,7,6,5,2,3]=>100000 [1,4,7,6,5,3,2]=>100000 [1,5,2,3,4,6,7]=>100011 [1,5,2,3,4,7,6]=>100010 [1,5,2,3,6,4,7]=>100001 [1,5,2,3,6,7,4]=>100000 [1,5,2,3,7,4,6]=>100000 [1,5,2,3,7,6,4]=>100000 [1,5,2,4,3,6,7]=>100011 [1,5,2,4,3,7,6]=>100010 [1,5,2,4,6,3,7]=>100001 [1,5,2,4,6,7,3]=>100000 [1,5,2,4,7,3,6]=>100000 [1,5,2,4,7,6,3]=>100000 [1,5,2,6,3,4,7]=>100001 [1,5,2,6,3,7,4]=>100000 [1,5,2,6,4,3,7]=>100001 [1,5,2,6,4,7,3]=>100000 [1,5,2,6,7,3,4]=>100000 [1,5,2,6,7,4,3]=>100000 [1,5,2,7,3,4,6]=>100000 [1,5,2,7,3,6,4]=>100000 [1,5,2,7,4,3,6]=>100000 [1,5,2,7,4,6,3]=>100000 [1,5,2,7,6,3,4]=>100000 [1,5,2,7,6,4,3]=>100000 [1,5,3,2,4,6,7]=>100011 [1,5,3,2,4,7,6]=>100010 [1,5,3,2,6,4,7]=>100001 [1,5,3,2,6,7,4]=>100000 [1,5,3,2,7,4,6]=>100000 [1,5,3,2,7,6,4]=>100000 [1,5,3,4,2,6,7]=>100011 [1,5,3,4,2,7,6]=>100010 [1,5,3,4,6,2,7]=>100001 [1,5,3,4,6,7,2]=>100000 [1,5,3,4,7,2,6]=>100000 [1,5,3,4,7,6,2]=>100000 [1,5,3,6,2,4,7]=>100001 [1,5,3,6,2,7,4]=>100000 [1,5,3,6,4,2,7]=>100001 [1,5,3,6,4,7,2]=>100000 [1,5,3,6,7,2,4]=>100000 [1,5,3,6,7,4,2]=>100000 [1,5,3,7,2,4,6]=>100000 [1,5,3,7,2,6,4]=>100000 [1,5,3,7,4,2,6]=>100000 [1,5,3,7,4,6,2]=>100000 [1,5,3,7,6,2,4]=>100000 [1,5,3,7,6,4,2]=>100000 [1,5,4,2,3,6,7]=>100011 [1,5,4,2,3,7,6]=>100010 [1,5,4,2,6,3,7]=>100001 [1,5,4,2,6,7,3]=>100000 [1,5,4,2,7,3,6]=>100000 [1,5,4,2,7,6,3]=>100000 [1,5,4,3,2,6,7]=>100011 [1,5,4,3,2,7,6]=>100010 [1,5,4,3,6,2,7]=>100001 [1,5,4,3,6,7,2]=>100000 [1,5,4,3,7,2,6]=>100000 [1,5,4,3,7,6,2]=>100000 [1,5,4,6,2,3,7]=>100001 [1,5,4,6,2,7,3]=>100000 [1,5,4,6,3,2,7]=>100001 [1,5,4,6,3,7,2]=>100000 [1,5,4,6,7,2,3]=>100000 [1,5,4,6,7,3,2]=>100000 [1,5,4,7,2,3,6]=>100000 [1,5,4,7,2,6,3]=>100000 [1,5,4,7,3,2,6]=>100000 [1,5,4,7,3,6,2]=>100000 [1,5,4,7,6,2,3]=>100000 [1,5,4,7,6,3,2]=>100000 [1,5,6,2,3,4,7]=>100001 [1,5,6,2,3,7,4]=>100000 [1,5,6,2,4,3,7]=>100001 [1,5,6,2,4,7,3]=>100000 [1,5,6,2,7,3,4]=>100000 [1,5,6,2,7,4,3]=>100000 [1,5,6,3,2,4,7]=>100001 [1,5,6,3,2,7,4]=>100000 [1,5,6,3,4,2,7]=>100001 [1,5,6,3,4,7,2]=>100000 [1,5,6,3,7,2,4]=>100000 [1,5,6,3,7,4,2]=>100000 [1,5,6,4,2,3,7]=>100001 [1,5,6,4,2,7,3]=>100000 [1,5,6,4,3,2,7]=>100001 [1,5,6,4,3,7,2]=>100000 [1,5,6,4,7,2,3]=>100000 [1,5,6,4,7,3,2]=>100000 [1,5,6,7,2,3,4]=>100000 [1,5,6,7,2,4,3]=>100000 [1,5,6,7,3,2,4]=>100000 [1,5,6,7,3,4,2]=>100000 [1,5,6,7,4,2,3]=>100000 [1,5,6,7,4,3,2]=>100000 [1,5,7,2,3,4,6]=>100000 [1,5,7,2,3,6,4]=>100000 [1,5,7,2,4,3,6]=>100000 [1,5,7,2,4,6,3]=>100000 [1,5,7,2,6,3,4]=>100000 [1,5,7,2,6,4,3]=>100000 [1,5,7,3,2,4,6]=>100000 [1,5,7,3,2,6,4]=>100000 [1,5,7,3,4,2,6]=>100000 [1,5,7,3,4,6,2]=>100000 [1,5,7,3,6,2,4]=>100000 [1,5,7,3,6,4,2]=>100000 [1,5,7,4,2,3,6]=>100000 [1,5,7,4,2,6,3]=>100000 [1,5,7,4,3,2,6]=>100000 [1,5,7,4,3,6,2]=>100000 [1,5,7,4,6,2,3]=>100000 [1,5,7,4,6,3,2]=>100000 [1,5,7,6,2,3,4]=>100000 [1,5,7,6,2,4,3]=>100000 [1,5,7,6,3,2,4]=>100000 [1,5,7,6,3,4,2]=>100000 [1,5,7,6,4,2,3]=>100000 [1,5,7,6,4,3,2]=>100000 [1,6,2,3,4,5,7]=>100001 [1,6,2,3,4,7,5]=>100000 [1,6,2,3,5,4,7]=>100001 [1,6,2,3,5,7,4]=>100000 [1,6,2,3,7,4,5]=>100000 [1,6,2,3,7,5,4]=>100000 [1,6,2,4,3,5,7]=>100001 [1,6,2,4,3,7,5]=>100000 [1,6,2,4,5,3,7]=>100001 [1,6,2,4,5,7,3]=>100000 [1,6,2,4,7,3,5]=>100000 [1,6,2,4,7,5,3]=>100000 [1,6,2,5,3,4,7]=>100001 [1,6,2,5,3,7,4]=>100000 [1,6,2,5,4,3,7]=>100001 [1,6,2,5,4,7,3]=>100000 [1,6,2,5,7,3,4]=>100000 [1,6,2,5,7,4,3]=>100000 [1,6,2,7,3,4,5]=>100000 [1,6,2,7,3,5,4]=>100000 [1,6,2,7,4,3,5]=>100000 [1,6,2,7,4,5,3]=>100000 [1,6,2,7,5,3,4]=>100000 [1,6,2,7,5,4,3]=>100000 [1,6,3,2,4,5,7]=>100001 [1,6,3,2,4,7,5]=>100000 [1,6,3,2,5,4,7]=>100001 [1,6,3,2,5,7,4]=>100000 [1,6,3,2,7,4,5]=>100000 [1,6,3,2,7,5,4]=>100000 [1,6,3,4,2,5,7]=>100001 [1,6,3,4,2,7,5]=>100000 [1,6,3,4,5,2,7]=>100001 [1,6,3,4,5,7,2]=>100000 [1,6,3,4,7,2,5]=>100000 [1,6,3,4,7,5,2]=>100000 [1,6,3,5,2,4,7]=>100001 [1,6,3,5,2,7,4]=>100000 [1,6,3,5,4,2,7]=>100001 [1,6,3,5,4,7,2]=>100000 [1,6,3,5,7,2,4]=>100000 [1,6,3,5,7,4,2]=>100000 [1,6,3,7,2,4,5]=>100000 [1,6,3,7,2,5,4]=>100000 [1,6,3,7,4,2,5]=>100000 [1,6,3,7,4,5,2]=>100000 [1,6,3,7,5,2,4]=>100000 [1,6,3,7,5,4,2]=>100000 [1,6,4,2,3,5,7]=>100001 [1,6,4,2,3,7,5]=>100000 [1,6,4,2,5,3,7]=>100001 [1,6,4,2,5,7,3]=>100000 [1,6,4,2,7,3,5]=>100000 [1,6,4,2,7,5,3]=>100000 [1,6,4,3,2,5,7]=>100001 [1,6,4,3,2,7,5]=>100000 [1,6,4,3,5,2,7]=>100001 [1,6,4,3,5,7,2]=>100000 [1,6,4,3,7,2,5]=>100000 [1,6,4,3,7,5,2]=>100000 [1,6,4,5,2,3,7]=>100001 [1,6,4,5,2,7,3]=>100000 [1,6,4,5,3,2,7]=>100001 [1,6,4,5,3,7,2]=>100000 [1,6,4,5,7,2,3]=>100000 [1,6,4,5,7,3,2]=>100000 [1,6,4,7,2,3,5]=>100000 [1,6,4,7,2,5,3]=>100000 [1,6,4,7,3,2,5]=>100000 [1,6,4,7,3,5,2]=>100000 [1,6,4,7,5,2,3]=>100000 [1,6,4,7,5,3,2]=>100000 [1,6,5,2,3,4,7]=>100001 [1,6,5,2,3,7,4]=>100000 [1,6,5,2,4,3,7]=>100001 [1,6,5,2,4,7,3]=>100000 [1,6,5,2,7,3,4]=>100000 [1,6,5,2,7,4,3]=>100000 [1,6,5,3,2,4,7]=>100001 [1,6,5,3,2,7,4]=>100000 [1,6,5,3,4,2,7]=>100001 [1,6,5,3,4,7,2]=>100000 [1,6,5,3,7,2,4]=>100000 [1,6,5,3,7,4,2]=>100000 [1,6,5,4,2,3,7]=>100001 [1,6,5,4,2,7,3]=>100000 [1,6,5,4,3,2,7]=>100001 [1,6,5,4,3,7,2]=>100000 [1,6,5,4,7,2,3]=>100000 [1,6,5,4,7,3,2]=>100000 [1,6,5,7,2,3,4]=>100000 [1,6,5,7,2,4,3]=>100000 [1,6,5,7,3,2,4]=>100000 [1,6,5,7,3,4,2]=>100000 [1,6,5,7,4,2,3]=>100000 [1,6,5,7,4,3,2]=>100000 [1,6,7,2,3,4,5]=>100000 [1,6,7,2,3,5,4]=>100000 [1,6,7,2,4,3,5]=>100000 [1,6,7,2,4,5,3]=>100000 [1,6,7,2,5,3,4]=>100000 [1,6,7,2,5,4,3]=>100000 [1,6,7,3,2,4,5]=>100000 [1,6,7,3,2,5,4]=>100000 [1,6,7,3,4,2,5]=>100000 [1,6,7,3,4,5,2]=>100000 [1,6,7,3,5,2,4]=>100000 [1,6,7,3,5,4,2]=>100000 [1,6,7,4,2,3,5]=>100000 [1,6,7,4,2,5,3]=>100000 [1,6,7,4,3,2,5]=>100000 [1,6,7,4,3,5,2]=>100000 [1,6,7,4,5,2,3]=>100000 [1,6,7,4,5,3,2]=>100000 [1,6,7,5,2,3,4]=>100000 [1,6,7,5,2,4,3]=>100000 [1,6,7,5,3,2,4]=>100000 [1,6,7,5,3,4,2]=>100000 [1,6,7,5,4,2,3]=>100000 [1,6,7,5,4,3,2]=>100000 [1,7,2,3,4,5,6]=>100000 [1,7,2,3,4,6,5]=>100000 [1,7,2,3,5,4,6]=>100000 [1,7,2,3,5,6,4]=>100000 [1,7,2,3,6,4,5]=>100000 [1,7,2,3,6,5,4]=>100000 [1,7,2,4,3,5,6]=>100000 [1,7,2,4,3,6,5]=>100000 [1,7,2,4,5,3,6]=>100000 [1,7,2,4,5,6,3]=>100000 [1,7,2,4,6,3,5]=>100000 [1,7,2,4,6,5,3]=>100000 [1,7,2,5,3,4,6]=>100000 [1,7,2,5,3,6,4]=>100000 [1,7,2,5,4,3,6]=>100000 [1,7,2,5,4,6,3]=>100000 [1,7,2,5,6,3,4]=>100000 [1,7,2,5,6,4,3]=>100000 [1,7,2,6,3,4,5]=>100000 [1,7,2,6,3,5,4]=>100000 [1,7,2,6,4,3,5]=>100000 [1,7,2,6,4,5,3]=>100000 [1,7,2,6,5,3,4]=>100000 [1,7,2,6,5,4,3]=>100000 [1,7,3,2,4,5,6]=>100000 [1,7,3,2,4,6,5]=>100000 [1,7,3,2,5,4,6]=>100000 [1,7,3,2,5,6,4]=>100000 [1,7,3,2,6,4,5]=>100000 [1,7,3,2,6,5,4]=>100000 [1,7,3,4,2,5,6]=>100000 [1,7,3,4,2,6,5]=>100000 [1,7,3,4,5,2,6]=>100000 [1,7,3,4,5,6,2]=>100000 [1,7,3,4,6,2,5]=>100000 [1,7,3,4,6,5,2]=>100000 [1,7,3,5,2,4,6]=>100000 [1,7,3,5,2,6,4]=>100000 [1,7,3,5,4,2,6]=>100000 [1,7,3,5,4,6,2]=>100000 [1,7,3,5,6,2,4]=>100000 [1,7,3,5,6,4,2]=>100000 [1,7,3,6,2,4,5]=>100000 [1,7,3,6,2,5,4]=>100000 [1,7,3,6,4,2,5]=>100000 [1,7,3,6,4,5,2]=>100000 [1,7,3,6,5,2,4]=>100000 [1,7,3,6,5,4,2]=>100000 [1,7,4,2,3,5,6]=>100000 [1,7,4,2,3,6,5]=>100000 [1,7,4,2,5,3,6]=>100000 [1,7,4,2,5,6,3]=>100000 [1,7,4,2,6,3,5]=>100000 [1,7,4,2,6,5,3]=>100000 [1,7,4,3,2,5,6]=>100000 [1,7,4,3,2,6,5]=>100000 [1,7,4,3,5,2,6]=>100000 [1,7,4,3,5,6,2]=>100000 [1,7,4,3,6,2,5]=>100000 [1,7,4,3,6,5,2]=>100000 [1,7,4,5,2,3,6]=>100000 [1,7,4,5,2,6,3]=>100000 [1,7,4,5,3,2,6]=>100000 [1,7,4,5,3,6,2]=>100000 [1,7,4,5,6,2,3]=>100000 [1,7,4,5,6,3,2]=>100000 [1,7,4,6,2,3,5]=>100000 [1,7,4,6,2,5,3]=>100000 [1,7,4,6,3,2,5]=>100000 [1,7,4,6,3,5,2]=>100000 [1,7,4,6,5,2,3]=>100000 [1,7,4,6,5,3,2]=>100000 [1,7,5,2,3,4,6]=>100000 [1,7,5,2,3,6,4]=>100000 [1,7,5,2,4,3,6]=>100000 [1,7,5,2,4,6,3]=>100000 [1,7,5,2,6,3,4]=>100000 [1,7,5,2,6,4,3]=>100000 [1,7,5,3,2,4,6]=>100000 [1,7,5,3,2,6,4]=>100000 [1,7,5,3,4,2,6]=>100000 [1,7,5,3,4,6,2]=>100000 [1,7,5,3,6,2,4]=>100000 [1,7,5,3,6,4,2]=>100000 [1,7,5,4,2,3,6]=>100000 [1,7,5,4,2,6,3]=>100000 [1,7,5,4,3,2,6]=>100000 [1,7,5,4,3,6,2]=>100000 [1,7,5,4,6,2,3]=>100000 [1,7,5,4,6,3,2]=>100000 [1,7,5,6,2,3,4]=>100000 [1,7,5,6,2,4,3]=>100000 [1,7,5,6,3,2,4]=>100000 [1,7,5,6,3,4,2]=>100000 [1,7,5,6,4,2,3]=>100000 [1,7,5,6,4,3,2]=>100000 [1,7,6,2,3,4,5]=>100000 [1,7,6,2,3,5,4]=>100000 [1,7,6,2,4,3,5]=>100000 [1,7,6,2,4,5,3]=>100000 [1,7,6,2,5,3,4]=>100000 [1,7,6,2,5,4,3]=>100000 [1,7,6,3,2,4,5]=>100000 [1,7,6,3,2,5,4]=>100000 [1,7,6,3,4,2,5]=>100000 [1,7,6,3,4,5,2]=>100000 [1,7,6,3,5,2,4]=>100000 [1,7,6,3,5,4,2]=>100000 [1,7,6,4,2,3,5]=>100000 [1,7,6,4,2,5,3]=>100000 [1,7,6,4,3,2,5]=>100000 [1,7,6,4,3,5,2]=>100000 [1,7,6,4,5,2,3]=>100000 [1,7,6,4,5,3,2]=>100000 [1,7,6,5,2,3,4]=>100000 [1,7,6,5,2,4,3]=>100000 [1,7,6,5,3,2,4]=>100000 [1,7,6,5,3,4,2]=>100000 [1,7,6,5,4,2,3]=>100000 [1,7,6,5,4,3,2]=>100000 [2,1,3,4,5,6,7]=>011111 [2,1,3,4,5,7,6]=>011110 [2,1,3,4,6,5,7]=>011101 [2,1,3,4,6,7,5]=>011100 [2,1,3,4,7,5,6]=>011100 [2,1,3,4,7,6,5]=>011100 [2,1,3,5,4,6,7]=>011011 [2,1,3,5,4,7,6]=>011010 [2,1,3,5,6,4,7]=>011001 [2,1,3,5,6,7,4]=>011000 [2,1,3,5,7,4,6]=>011000 [2,1,3,5,7,6,4]=>011000 [2,1,3,6,4,5,7]=>011001 [2,1,3,6,4,7,5]=>011000 [2,1,3,6,5,4,7]=>011001 [2,1,3,6,5,7,4]=>011000 [2,1,3,6,7,4,5]=>011000 [2,1,3,6,7,5,4]=>011000 [2,1,3,7,4,5,6]=>011000 [2,1,3,7,4,6,5]=>011000 [2,1,3,7,5,4,6]=>011000 [2,1,3,7,5,6,4]=>011000 [2,1,3,7,6,4,5]=>011000 [2,1,3,7,6,5,4]=>011000 [2,1,4,3,5,6,7]=>010111 [2,1,4,3,5,7,6]=>010110 [2,1,4,3,6,5,7]=>010101 [2,1,4,3,6,7,5]=>010100 [2,1,4,3,7,5,6]=>010100 [2,1,4,3,7,6,5]=>010100 [2,1,4,5,3,6,7]=>010011 [2,1,4,5,3,7,6]=>010010 [2,1,4,5,6,3,7]=>010001 [2,1,4,5,6,7,3]=>010000 [2,1,4,5,7,3,6]=>010000 [2,1,4,5,7,6,3]=>010000 [2,1,4,6,3,5,7]=>010001 [2,1,4,6,3,7,5]=>010000 [2,1,4,6,5,3,7]=>010001 [2,1,4,6,5,7,3]=>010000 [2,1,4,6,7,3,5]=>010000 [2,1,4,6,7,5,3]=>010000 [2,1,4,7,3,5,6]=>010000 [2,1,4,7,3,6,5]=>010000 [2,1,4,7,5,3,6]=>010000 [2,1,4,7,5,6,3]=>010000 [2,1,4,7,6,3,5]=>010000 [2,1,4,7,6,5,3]=>010000 [2,1,5,3,4,6,7]=>010011 [2,1,5,3,4,7,6]=>010010 [2,1,5,3,6,4,7]=>010001 [2,1,5,3,6,7,4]=>010000 [2,1,5,3,7,4,6]=>010000 [2,1,5,3,7,6,4]=>010000 [2,1,5,4,3,6,7]=>010011 [2,1,5,4,3,7,6]=>010010 [2,1,5,4,6,3,7]=>010001 [2,1,5,4,6,7,3]=>010000 [2,1,5,4,7,3,6]=>010000 [2,1,5,4,7,6,3]=>010000 [2,1,5,6,3,4,7]=>010001 [2,1,5,6,3,7,4]=>010000 [2,1,5,6,4,3,7]=>010001 [2,1,5,6,4,7,3]=>010000 [2,1,5,6,7,3,4]=>010000 [2,1,5,6,7,4,3]=>010000 [2,1,5,7,3,4,6]=>010000 [2,1,5,7,3,6,4]=>010000 [2,1,5,7,4,3,6]=>010000 [2,1,5,7,4,6,3]=>010000 [2,1,5,7,6,3,4]=>010000 [2,1,5,7,6,4,3]=>010000 [2,1,6,3,4,5,7]=>010001 [2,1,6,3,4,7,5]=>010000 [2,1,6,3,5,4,7]=>010001 [2,1,6,3,5,7,4]=>010000 [2,1,6,3,7,4,5]=>010000 [2,1,6,3,7,5,4]=>010000 [2,1,6,4,3,5,7]=>010001 [2,1,6,4,3,7,5]=>010000 [2,1,6,4,5,3,7]=>010001 [2,1,6,4,5,7,3]=>010000 [2,1,6,4,7,3,5]=>010000 [2,1,6,4,7,5,3]=>010000 [2,1,6,5,3,4,7]=>010001 [2,1,6,5,3,7,4]=>010000 [2,1,6,5,4,3,7]=>010001 [2,1,6,5,4,7,3]=>010000 [2,1,6,5,7,3,4]=>010000 [2,1,6,5,7,4,3]=>010000 [2,1,6,7,3,4,5]=>010000 [2,1,6,7,3,5,4]=>010000 [2,1,6,7,4,3,5]=>010000 [2,1,6,7,4,5,3]=>010000 [2,1,6,7,5,3,4]=>010000 [2,1,6,7,5,4,3]=>010000 [2,1,7,3,4,5,6]=>010000 [2,1,7,3,4,6,5]=>010000 [2,1,7,3,5,4,6]=>010000 [2,1,7,3,5,6,4]=>010000 [2,1,7,3,6,4,5]=>010000 [2,1,7,3,6,5,4]=>010000 [2,1,7,4,3,5,6]=>010000 [2,1,7,4,3,6,5]=>010000 [2,1,7,4,5,3,6]=>010000 [2,1,7,4,5,6,3]=>010000 [2,1,7,4,6,3,5]=>010000 [2,1,7,4,6,5,3]=>010000 [2,1,7,5,3,4,6]=>010000 [2,1,7,5,3,6,4]=>010000 [2,1,7,5,4,3,6]=>010000 [2,1,7,5,4,6,3]=>010000 [2,1,7,5,6,3,4]=>010000 [2,1,7,5,6,4,3]=>010000 [2,1,7,6,3,4,5]=>010000 [2,1,7,6,3,5,4]=>010000 [2,1,7,6,4,3,5]=>010000 [2,1,7,6,4,5,3]=>010000 [2,1,7,6,5,3,4]=>010000 [2,1,7,6,5,4,3]=>010000 [2,3,1,4,5,6,7]=>001111 [2,3,1,4,5,7,6]=>001110 [2,3,1,4,6,5,7]=>001101 [2,3,1,4,6,7,5]=>001100 [2,3,1,4,7,5,6]=>001100 [2,3,1,4,7,6,5]=>001100 [2,3,1,5,4,6,7]=>001011 [2,3,1,5,4,7,6]=>001010 [2,3,1,5,6,4,7]=>001001 [2,3,1,5,6,7,4]=>001000 [2,3,1,5,7,4,6]=>001000 [2,3,1,5,7,6,4]=>001000 [2,3,1,6,4,5,7]=>001001 [2,3,1,6,4,7,5]=>001000 [2,3,1,6,5,4,7]=>001001 [2,3,1,6,5,7,4]=>001000 [2,3,1,6,7,4,5]=>001000 [2,3,1,6,7,5,4]=>001000 [2,3,1,7,4,5,6]=>001000 [2,3,1,7,4,6,5]=>001000 [2,3,1,7,5,4,6]=>001000 [2,3,1,7,5,6,4]=>001000 [2,3,1,7,6,4,5]=>001000 [2,3,1,7,6,5,4]=>001000 [2,3,4,1,5,6,7]=>000111 [2,3,4,1,5,7,6]=>000110 [2,3,4,1,6,5,7]=>000101 [2,3,4,1,6,7,5]=>000100 [2,3,4,1,7,5,6]=>000100 [2,3,4,1,7,6,5]=>000100 [2,3,4,5,1,6,7]=>000011 [2,3,4,5,1,7,6]=>000010 [2,3,4,5,6,1,7]=>000001 [2,3,4,5,6,7,1]=>000000 [2,3,4,5,7,1,6]=>000000 [2,3,4,5,7,6,1]=>000000 [2,3,4,6,1,5,7]=>000001 [2,3,4,6,1,7,5]=>000000 [2,3,4,6,5,1,7]=>000001 [2,3,4,6,5,7,1]=>000000 [2,3,4,6,7,1,5]=>000000 [2,3,4,6,7,5,1]=>000000 [2,3,4,7,1,5,6]=>000000 [2,3,4,7,1,6,5]=>000000 [2,3,4,7,5,1,6]=>000000 [2,3,4,7,5,6,1]=>000000 [2,3,4,7,6,1,5]=>000000 [2,3,4,7,6,5,1]=>000000 [2,3,5,1,4,6,7]=>000011 [2,3,5,1,4,7,6]=>000010 [2,3,5,1,6,4,7]=>000001 [2,3,5,1,6,7,4]=>000000 [2,3,5,1,7,4,6]=>000000 [2,3,5,1,7,6,4]=>000000 [2,3,5,4,1,6,7]=>000011 [2,3,5,4,1,7,6]=>000010 [2,3,5,4,6,1,7]=>000001 [2,3,5,4,6,7,1]=>000000 [2,3,5,4,7,1,6]=>000000 [2,3,5,4,7,6,1]=>000000 [2,3,5,6,1,4,7]=>000001 [2,3,5,6,1,7,4]=>000000 [2,3,5,6,4,1,7]=>000001 [2,3,5,6,4,7,1]=>000000 [2,3,5,6,7,1,4]=>000000 [2,3,5,6,7,4,1]=>000000 [2,3,5,7,1,4,6]=>000000 [2,3,5,7,1,6,4]=>000000 [2,3,5,7,4,1,6]=>000000 [2,3,5,7,4,6,1]=>000000 [2,3,5,7,6,1,4]=>000000 [2,3,5,7,6,4,1]=>000000 [2,3,6,1,4,5,7]=>000001 [2,3,6,1,4,7,5]=>000000 [2,3,6,1,5,4,7]=>000001 [2,3,6,1,5,7,4]=>000000 [2,3,6,1,7,4,5]=>000000 [2,3,6,1,7,5,4]=>000000 [2,3,6,4,1,5,7]=>000001 [2,3,6,4,1,7,5]=>000000 [2,3,6,4,5,1,7]=>000001 [2,3,6,4,5,7,1]=>000000 [2,3,6,4,7,1,5]=>000000 [2,3,6,4,7,5,1]=>000000 [2,3,6,5,1,4,7]=>000001 [2,3,6,5,1,7,4]=>000000 [2,3,6,5,4,1,7]=>000001 [2,3,6,5,4,7,1]=>000000 [2,3,6,5,7,1,4]=>000000 [2,3,6,5,7,4,1]=>000000 [2,3,6,7,1,4,5]=>000000 [2,3,6,7,1,5,4]=>000000 [2,3,6,7,4,1,5]=>000000 [2,3,6,7,4,5,1]=>000000 [2,3,6,7,5,1,4]=>000000 [2,3,6,7,5,4,1]=>000000 [2,3,7,1,4,5,6]=>000000 [2,3,7,1,4,6,5]=>000000 [2,3,7,1,5,4,6]=>000000 [2,3,7,1,5,6,4]=>000000 [2,3,7,1,6,4,5]=>000000 [2,3,7,1,6,5,4]=>000000 [2,3,7,4,1,5,6]=>000000 [2,3,7,4,1,6,5]=>000000 [2,3,7,4,5,1,6]=>000000 [2,3,7,4,5,6,1]=>000000 [2,3,7,4,6,1,5]=>000000 [2,3,7,4,6,5,1]=>000000 [2,3,7,5,1,4,6]=>000000 [2,3,7,5,1,6,4]=>000000 [2,3,7,5,4,1,6]=>000000 [2,3,7,5,4,6,1]=>000000 [2,3,7,5,6,1,4]=>000000 [2,3,7,5,6,4,1]=>000000 [2,3,7,6,1,4,5]=>000000 [2,3,7,6,1,5,4]=>000000 [2,3,7,6,4,1,5]=>000000 [2,3,7,6,4,5,1]=>000000 [2,3,7,6,5,1,4]=>000000 [2,3,7,6,5,4,1]=>000000 [2,4,1,3,5,6,7]=>000111 [2,4,1,3,5,7,6]=>000110 [2,4,1,3,6,5,7]=>000101 [2,4,1,3,6,7,5]=>000100 [2,4,1,3,7,5,6]=>000100 [2,4,1,3,7,6,5]=>000100 [2,4,1,5,3,6,7]=>000011 [2,4,1,5,3,7,6]=>000010 [2,4,1,5,6,3,7]=>000001 [2,4,1,5,6,7,3]=>000000 [2,4,1,5,7,3,6]=>000000 [2,4,1,5,7,6,3]=>000000 [2,4,1,6,3,5,7]=>000001 [2,4,1,6,3,7,5]=>000000 [2,4,1,6,5,3,7]=>000001 [2,4,1,6,5,7,3]=>000000 [2,4,1,6,7,3,5]=>000000 [2,4,1,6,7,5,3]=>000000 [2,4,1,7,3,5,6]=>000000 [2,4,1,7,3,6,5]=>000000 [2,4,1,7,5,3,6]=>000000 [2,4,1,7,5,6,3]=>000000 [2,4,1,7,6,3,5]=>000000 [2,4,1,7,6,5,3]=>000000 [2,4,3,1,5,6,7]=>000111 [2,4,3,1,5,7,6]=>000110 [2,4,3,1,6,5,7]=>000101 [2,4,3,1,6,7,5]=>000100 [2,4,3,1,7,5,6]=>000100 [2,4,3,1,7,6,5]=>000100 [2,4,3,5,1,6,7]=>000011 [2,4,3,5,1,7,6]=>000010 [2,4,3,5,6,1,7]=>000001 [2,4,3,5,6,7,1]=>000000 [2,4,3,5,7,1,6]=>000000 [2,4,3,5,7,6,1]=>000000 [2,4,3,6,1,5,7]=>000001 [2,4,3,6,1,7,5]=>000000 [2,4,3,6,5,1,7]=>000001 [2,4,3,6,5,7,1]=>000000 [2,4,3,6,7,1,5]=>000000 [2,4,3,6,7,5,1]=>000000 [2,4,3,7,1,5,6]=>000000 [2,4,3,7,1,6,5]=>000000 [2,4,3,7,5,1,6]=>000000 [2,4,3,7,5,6,1]=>000000 [2,4,3,7,6,1,5]=>000000 [2,4,3,7,6,5,1]=>000000 [2,4,5,1,3,6,7]=>000011 [2,4,5,1,3,7,6]=>000010 [2,4,5,1,6,3,7]=>000001 [2,4,5,1,6,7,3]=>000000 [2,4,5,1,7,3,6]=>000000 [2,4,5,1,7,6,3]=>000000 [2,4,5,3,1,6,7]=>000011 [2,4,5,3,1,7,6]=>000010 [2,4,5,3,6,1,7]=>000001 [2,4,5,3,6,7,1]=>000000 [2,4,5,3,7,1,6]=>000000 [2,4,5,3,7,6,1]=>000000 [2,4,5,6,1,3,7]=>000001 [2,4,5,6,1,7,3]=>000000 [2,4,5,6,3,1,7]=>000001 [2,4,5,6,3,7,1]=>000000 [2,4,5,6,7,1,3]=>000000 [2,4,5,6,7,3,1]=>000000 [2,4,5,7,1,3,6]=>000000 [2,4,5,7,1,6,3]=>000000 [2,4,5,7,3,1,6]=>000000 [2,4,5,7,3,6,1]=>000000 [2,4,5,7,6,1,3]=>000000 [2,4,5,7,6,3,1]=>000000 [2,4,6,1,3,5,7]=>000001 [2,4,6,1,3,7,5]=>000000 [2,4,6,1,5,3,7]=>000001 [2,4,6,1,5,7,3]=>000000 [2,4,6,1,7,3,5]=>000000 [2,4,6,1,7,5,3]=>000000 [2,4,6,3,1,5,7]=>000001 [2,4,6,3,1,7,5]=>000000 [2,4,6,3,5,1,7]=>000001 [2,4,6,3,5,7,1]=>000000 [2,4,6,3,7,1,5]=>000000 [2,4,6,3,7,5,1]=>000000 [2,4,6,5,1,3,7]=>000001 [2,4,6,5,1,7,3]=>000000 [2,4,6,5,3,1,7]=>000001 [2,4,6,5,3,7,1]=>000000 [2,4,6,5,7,1,3]=>000000 [2,4,6,5,7,3,1]=>000000 [2,4,6,7,1,3,5]=>000000 [2,4,6,7,1,5,3]=>000000 [2,4,6,7,3,1,5]=>000000 [2,4,6,7,3,5,1]=>000000 [2,4,6,7,5,1,3]=>000000 [2,4,6,7,5,3,1]=>000000 [2,4,7,1,3,5,6]=>000000 [2,4,7,1,3,6,5]=>000000 [2,4,7,1,5,3,6]=>000000 [2,4,7,1,5,6,3]=>000000 [2,4,7,1,6,3,5]=>000000 [2,4,7,1,6,5,3]=>000000 [2,4,7,3,1,5,6]=>000000 [2,4,7,3,1,6,5]=>000000 [2,4,7,3,5,1,6]=>000000 [2,4,7,3,5,6,1]=>000000 [2,4,7,3,6,1,5]=>000000 [2,4,7,3,6,5,1]=>000000 [2,4,7,5,1,3,6]=>000000 [2,4,7,5,1,6,3]=>000000 [2,4,7,5,3,1,6]=>000000 [2,4,7,5,3,6,1]=>000000 [2,4,7,5,6,1,3]=>000000 [2,4,7,5,6,3,1]=>000000 [2,4,7,6,1,3,5]=>000000 [2,4,7,6,1,5,3]=>000000 [2,4,7,6,3,1,5]=>000000 [2,4,7,6,3,5,1]=>000000 [2,4,7,6,5,1,3]=>000000 [2,4,7,6,5,3,1]=>000000 [2,5,1,3,4,6,7]=>000011 [2,5,1,3,4,7,6]=>000010 [2,5,1,3,6,4,7]=>000001 [2,5,1,3,6,7,4]=>000000 [2,5,1,3,7,4,6]=>000000 [2,5,1,3,7,6,4]=>000000 [2,5,1,4,3,6,7]=>000011 [2,5,1,4,3,7,6]=>000010 [2,5,1,4,6,3,7]=>000001 [2,5,1,4,6,7,3]=>000000 [2,5,1,4,7,3,6]=>000000 [2,5,1,4,7,6,3]=>000000 [2,5,1,6,3,4,7]=>000001 [2,5,1,6,3,7,4]=>000000 [2,5,1,6,4,3,7]=>000001 [2,5,1,6,4,7,3]=>000000 [2,5,1,6,7,3,4]=>000000 [2,5,1,6,7,4,3]=>000000 [2,5,1,7,3,4,6]=>000000 [2,5,1,7,3,6,4]=>000000 [2,5,1,7,4,3,6]=>000000 [2,5,1,7,4,6,3]=>000000 [2,5,1,7,6,3,4]=>000000 [2,5,1,7,6,4,3]=>000000 [2,5,3,1,4,6,7]=>000011 [2,5,3,1,4,7,6]=>000010 [2,5,3,1,6,4,7]=>000001 [2,5,3,1,6,7,4]=>000000 [2,5,3,1,7,4,6]=>000000 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[3,2,1,4,5,6,7]=>001111 [3,2,1,4,5,7,6]=>001110 [3,2,1,4,6,5,7]=>001101 [3,2,1,4,6,7,5]=>001100 [3,2,1,4,7,5,6]=>001100 [3,2,1,4,7,6,5]=>001100 [3,2,1,5,4,6,7]=>001011 [3,2,1,5,4,7,6]=>001010 [3,2,1,5,6,4,7]=>001001 [3,2,1,5,6,7,4]=>001000 [3,2,1,5,7,4,6]=>001000 [3,2,1,5,7,6,4]=>001000 [3,2,1,6,4,5,7]=>001001 [3,2,1,6,4,7,5]=>001000 [3,2,1,6,5,4,7]=>001001 [3,2,1,6,5,7,4]=>001000 [3,2,1,6,7,4,5]=>001000 [3,2,1,6,7,5,4]=>001000 [3,2,1,7,4,5,6]=>001000 [3,2,1,7,4,6,5]=>001000 [3,2,1,7,5,4,6]=>001000 [3,2,1,7,5,6,4]=>001000 [3,2,1,7,6,4,5]=>001000 [3,2,1,7,6,5,4]=>001000 [3,2,4,1,5,6,7]=>000111 [3,2,4,1,5,7,6]=>000110 [3,2,4,1,6,5,7]=>000101 [3,2,4,1,6,7,5]=>000100 [3,2,4,1,7,5,6]=>000100 [3,2,4,1,7,6,5]=>000100 [3,2,4,5,1,6,7]=>000011 [3,2,4,5,1,7,6]=>000010 [3,2,4,5,6,1,7]=>000001 [3,2,4,5,6,7,1]=>000000 [3,2,4,5,7,1,6]=>000000 [3,2,4,5,7,6,1]=>000000 [3,2,4,6,1,5,7]=>000001 [3,2,4,6,1,7,5]=>000000 [3,2,4,6,5,1,7]=>000001 [3,2,4,6,5,7,1]=>000000 [3,2,4,6,7,1,5]=>000000 [3,2,4,6,7,5,1]=>000000 [3,2,4,7,1,5,6]=>000000 [3,2,4,7,1,6,5]=>000000 [3,2,4,7,5,1,6]=>000000 [3,2,4,7,5,6,1]=>000000 [3,2,4,7,6,1,5]=>000000 [3,2,4,7,6,5,1]=>000000 [3,2,5,1,4,6,7]=>000011 [3,2,5,1,4,7,6]=>000010 [3,2,5,1,6,4,7]=>000001 [3,2,5,1,6,7,4]=>000000 [3,2,5,1,7,4,6]=>000000 [3,2,5,1,7,6,4]=>000000 [3,2,5,4,1,6,7]=>000011 [3,2,5,4,1,7,6]=>000010 [3,2,5,4,6,1,7]=>000001 [3,2,5,4,6,7,1]=>000000 [3,2,5,4,7,1,6]=>000000 [3,2,5,4,7,6,1]=>000000 [3,2,5,6,1,4,7]=>000001 [3,2,5,6,1,7,4]=>000000 [3,2,5,6,4,1,7]=>000001 [3,2,5,6,4,7,1]=>000000 [3,2,5,6,7,1,4]=>000000 [3,2,5,6,7,4,1]=>000000 [3,2,5,7,1,4,6]=>000000 [3,2,5,7,1,6,4]=>000000 [3,2,5,7,4,1,6]=>000000 [3,2,5,7,4,6,1]=>000000 [3,2,5,7,6,1,4]=>000000 [3,2,5,7,6,4,1]=>000000 [3,2,6,1,4,5,7]=>000001 [3,2,6,1,4,7,5]=>000000 [3,2,6,1,5,4,7]=>000001 [3,2,6,1,5,7,4]=>000000 [3,2,6,1,7,4,5]=>000000 [3,2,6,1,7,5,4]=>000000 [3,2,6,4,1,5,7]=>000001 [3,2,6,4,1,7,5]=>000000 [3,2,6,4,5,1,7]=>000001 [3,2,6,4,5,7,1]=>000000 [3,2,6,4,7,1,5]=>000000 [3,2,6,4,7,5,1]=>000000 [3,2,6,5,1,4,7]=>000001 [3,2,6,5,1,7,4]=>000000 [3,2,6,5,4,1,7]=>000001 [3,2,6,5,4,7,1]=>000000 [3,2,6,5,7,1,4]=>000000 [3,2,6,5,7,4,1]=>000000 [3,2,6,7,1,4,5]=>000000 [3,2,6,7,1,5,4]=>000000 [3,2,6,7,4,1,5]=>000000 [3,2,6,7,4,5,1]=>000000 [3,2,6,7,5,1,4]=>000000 [3,2,6,7,5,4,1]=>000000 [3,2,7,1,4,5,6]=>000000 [3,2,7,1,4,6,5]=>000000 [3,2,7,1,5,4,6]=>000000 [3,2,7,1,5,6,4]=>000000 [3,2,7,1,6,4,5]=>000000 [3,2,7,1,6,5,4]=>000000 [3,2,7,4,1,5,6]=>000000 [3,2,7,4,1,6,5]=>000000 [3,2,7,4,5,1,6]=>000000 [3,2,7,4,5,6,1]=>000000 [3,2,7,4,6,1,5]=>000000 [3,2,7,4,6,5,1]=>000000 [3,2,7,5,1,4,6]=>000000 [3,2,7,5,1,6,4]=>000000 [3,2,7,5,4,1,6]=>000000 [3,2,7,5,4,6,1]=>000000 [3,2,7,5,6,1,4]=>000000 [3,2,7,5,6,4,1]=>000000 [3,2,7,6,1,4,5]=>000000 [3,2,7,6,1,5,4]=>000000 [3,2,7,6,4,1,5]=>000000 [3,2,7,6,4,5,1]=>000000 [3,2,7,6,5,1,4]=>000000 [3,2,7,6,5,4,1]=>000000 [3,4,1,2,5,6,7]=>000111 [3,4,1,2,5,7,6]=>000110 [3,4,1,2,6,5,7]=>000101 [3,4,1,2,6,7,5]=>000100 [3,4,1,2,7,5,6]=>000100 [3,4,1,2,7,6,5]=>000100 [3,4,1,5,2,6,7]=>000011 [3,4,1,5,2,7,6]=>000010 [3,4,1,5,6,2,7]=>000001 [3,4,1,5,6,7,2]=>000000 [3,4,1,5,7,2,6]=>000000 [3,4,1,5,7,6,2]=>000000 [3,4,1,6,2,5,7]=>000001 [3,4,1,6,2,7,5]=>000000 [3,4,1,6,5,2,7]=>000001 [3,4,1,6,5,7,2]=>000000 [3,4,1,6,7,2,5]=>000000 [3,4,1,6,7,5,2]=>000000 [3,4,1,7,2,5,6]=>000000 [3,4,1,7,2,6,5]=>000000 [3,4,1,7,5,2,6]=>000000 [3,4,1,7,5,6,2]=>000000 [3,4,1,7,6,2,5]=>000000 [3,4,1,7,6,5,2]=>000000 [3,4,2,1,5,6,7]=>000111 [3,4,2,1,5,7,6]=>000110 [3,4,2,1,6,5,7]=>000101 [3,4,2,1,6,7,5]=>000100 [3,4,2,1,7,5,6]=>000100 [3,4,2,1,7,6,5]=>000100 [3,4,2,5,1,6,7]=>000011 [3,4,2,5,1,7,6]=>000010 [3,4,2,5,6,1,7]=>000001 [3,4,2,5,6,7,1]=>000000 [3,4,2,5,7,1,6]=>000000 [3,4,2,5,7,6,1]=>000000 [3,4,2,6,1,5,7]=>000001 [3,4,2,6,1,7,5]=>000000 [3,4,2,6,5,1,7]=>000001 [3,4,2,6,5,7,1]=>000000 [3,4,2,6,7,1,5]=>000000 [3,4,2,6,7,5,1]=>000000 [3,4,2,7,1,5,6]=>000000 [3,4,2,7,1,6,5]=>000000 [3,4,2,7,5,1,6]=>000000 [3,4,2,7,5,6,1]=>000000 [3,4,2,7,6,1,5]=>000000 [3,4,2,7,6,5,1]=>000000 [3,4,5,1,2,6,7]=>000011 [3,4,5,1,2,7,6]=>000010 [3,4,5,1,6,2,7]=>000001 [3,4,5,1,6,7,2]=>000000 [3,4,5,1,7,2,6]=>000000 [3,4,5,1,7,6,2]=>000000 [3,4,5,2,1,6,7]=>000011 [3,4,5,2,1,7,6]=>000010 [3,4,5,2,6,1,7]=>000001 [3,4,5,2,6,7,1]=>000000 [3,4,5,2,7,1,6]=>000000 [3,4,5,2,7,6,1]=>000000 [3,4,5,6,1,2,7]=>000001 [3,4,5,6,1,7,2]=>000000 [3,4,5,6,2,1,7]=>000001 [3,4,5,6,2,7,1]=>000000 [3,4,5,6,7,1,2]=>000000 [3,4,5,6,7,2,1]=>000000 [3,4,5,7,1,2,6]=>000000 [3,4,5,7,1,6,2]=>000000 [3,4,5,7,2,1,6]=>000000 [3,4,5,7,2,6,1]=>000000 [3,4,5,7,6,1,2]=>000000 [3,4,5,7,6,2,1]=>000000 [3,4,6,1,2,5,7]=>000001 [3,4,6,1,2,7,5]=>000000 [3,4,6,1,5,2,7]=>000001 [3,4,6,1,5,7,2]=>000000 [3,4,6,1,7,2,5]=>000000 [3,4,6,1,7,5,2]=>000000 [3,4,6,2,1,5,7]=>000001 [3,4,6,2,1,7,5]=>000000 [3,4,6,2,5,1,7]=>000001 [3,4,6,2,5,7,1]=>000000 [3,4,6,2,7,1,5]=>000000 [3,4,6,2,7,5,1]=>000000 [3,4,6,5,1,2,7]=>000001 [3,4,6,5,1,7,2]=>000000 [3,4,6,5,2,1,7]=>000001 [3,4,6,5,2,7,1]=>000000 [3,4,6,5,7,1,2]=>000000 [3,4,6,5,7,2,1]=>000000 [3,4,6,7,1,2,5]=>000000 [3,4,6,7,1,5,2]=>000000 [3,4,6,7,2,1,5]=>000000 [3,4,6,7,2,5,1]=>000000 [3,4,6,7,5,1,2]=>000000 [3,4,6,7,5,2,1]=>000000 [3,4,7,1,2,5,6]=>000000 [3,4,7,1,2,6,5]=>000000 [3,4,7,1,5,2,6]=>000000 [3,4,7,1,5,6,2]=>000000 [3,4,7,1,6,2,5]=>000000 [3,4,7,1,6,5,2]=>000000 [3,4,7,2,1,5,6]=>000000 [3,4,7,2,1,6,5]=>000000 [3,4,7,2,5,1,6]=>000000 [3,4,7,2,5,6,1]=>000000 [3,4,7,2,6,1,5]=>000000 [3,4,7,2,6,5,1]=>000000 [3,4,7,5,1,2,6]=>000000 [3,4,7,5,1,6,2]=>000000 [3,4,7,5,2,1,6]=>000000 [3,4,7,5,2,6,1]=>000000 [3,4,7,5,6,1,2]=>000000 [3,4,7,5,6,2,1]=>000000 [3,4,7,6,1,2,5]=>000000 [3,4,7,6,1,5,2]=>000000 [3,4,7,6,2,1,5]=>000000 [3,4,7,6,2,5,1]=>000000 [3,4,7,6,5,1,2]=>000000 [3,4,7,6,5,2,1]=>000000 [3,5,1,2,4,6,7]=>000011 [3,5,1,2,4,7,6]=>000010 [3,5,1,2,6,4,7]=>000001 [3,5,1,2,6,7,4]=>000000 [3,5,1,2,7,4,6]=>000000 [3,5,1,2,7,6,4]=>000000 [3,5,1,4,2,6,7]=>000011 [3,5,1,4,2,7,6]=>000010 [3,5,1,4,6,2,7]=>000001 [3,5,1,4,6,7,2]=>000000 [3,5,1,4,7,2,6]=>000000 [3,5,1,4,7,6,2]=>000000 [3,5,1,6,2,4,7]=>000001 [3,5,1,6,2,7,4]=>000000 [3,5,1,6,4,2,7]=>000001 [3,5,1,6,4,7,2]=>000000 [3,5,1,6,7,2,4]=>000000 [3,5,1,6,7,4,2]=>000000 [3,5,1,7,2,4,6]=>000000 [3,5,1,7,2,6,4]=>000000 [3,5,1,7,4,2,6]=>000000 [3,5,1,7,4,6,2]=>000000 [3,5,1,7,6,2,4]=>000000 [3,5,1,7,6,4,2]=>000000 [3,5,2,1,4,6,7]=>000011 [3,5,2,1,4,7,6]=>000010 [3,5,2,1,6,4,7]=>000001 [3,5,2,1,6,7,4]=>000000 [3,5,2,1,7,4,6]=>000000 [3,5,2,1,7,6,4]=>000000 [3,5,2,4,1,6,7]=>000011 [3,5,2,4,1,7,6]=>000010 [3,5,2,4,6,1,7]=>000001 [3,5,2,4,6,7,1]=>000000 [3,5,2,4,7,1,6]=>000000 [3,5,2,4,7,6,1]=>000000 [3,5,2,6,1,4,7]=>000001 [3,5,2,6,1,7,4]=>000000 [3,5,2,6,4,1,7]=>000001 [3,5,2,6,4,7,1]=>000000 [3,5,2,6,7,1,4]=>000000 [3,5,2,6,7,4,1]=>000000 [3,5,2,7,1,4,6]=>000000 [3,5,2,7,1,6,4]=>000000 [3,5,2,7,4,1,6]=>000000 [3,5,2,7,4,6,1]=>000000 [3,5,2,7,6,1,4]=>000000 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[7,4,6,5,3,2,1]=>000000 [7,5,1,2,3,4,6]=>000000 [7,5,1,2,3,6,4]=>000000 [7,5,1,2,4,3,6]=>000000 [7,5,1,2,4,6,3]=>000000 [7,5,1,2,6,3,4]=>000000 [7,5,1,2,6,4,3]=>000000 [7,5,1,3,2,4,6]=>000000 [7,5,1,3,2,6,4]=>000000 [7,5,1,3,4,2,6]=>000000 [7,5,1,3,4,6,2]=>000000 [7,5,1,3,6,2,4]=>000000 [7,5,1,3,6,4,2]=>000000 [7,5,1,4,2,3,6]=>000000 [7,5,1,4,2,6,3]=>000000 [7,5,1,4,3,2,6]=>000000 [7,5,1,4,3,6,2]=>000000 [7,5,1,4,6,2,3]=>000000 [7,5,1,4,6,3,2]=>000000 [7,5,1,6,2,3,4]=>000000 [7,5,1,6,2,4,3]=>000000 [7,5,1,6,3,2,4]=>000000 [7,5,1,6,3,4,2]=>000000 [7,5,1,6,4,2,3]=>000000 [7,5,1,6,4,3,2]=>000000 [7,5,2,1,3,4,6]=>000000 [7,5,2,1,3,6,4]=>000000 [7,5,2,1,4,3,6]=>000000 [7,5,2,1,4,6,3]=>000000 [7,5,2,1,6,3,4]=>000000 [7,5,2,1,6,4,3]=>000000 [7,5,2,3,1,4,6]=>000000 [7,5,2,3,1,6,4]=>000000 [7,5,2,3,4,1,6]=>000000 [7,5,2,3,4,6,1]=>000000 [7,5,2,3,6,1,4]=>000000 [7,5,2,3,6,4,1]=>000000 [7,5,2,4,1,3,6]=>000000 [7,5,2,4,1,6,3]=>000000 [7,5,2,4,3,1,6]=>000000 [7,5,2,4,3,6,1]=>000000 [7,5,2,4,6,1,3]=>000000 [7,5,2,4,6,3,1]=>000000 [7,5,2,6,1,3,4]=>000000 [7,5,2,6,1,4,3]=>000000 [7,5,2,6,3,1,4]=>000000 [7,5,2,6,3,4,1]=>000000 [7,5,2,6,4,1,3]=>000000 [7,5,2,6,4,3,1]=>000000 [7,5,3,1,2,4,6]=>000000 [7,5,3,1,2,6,4]=>000000 [7,5,3,1,4,2,6]=>000000 [7,5,3,1,4,6,2]=>000000 [7,5,3,1,6,2,4]=>000000 [7,5,3,1,6,4,2]=>000000 [7,5,3,2,1,4,6]=>000000 [7,5,3,2,1,6,4]=>000000 [7,5,3,2,4,1,6]=>000000 [7,5,3,2,4,6,1]=>000000 [7,5,3,2,6,1,4]=>000000 [7,5,3,2,6,4,1]=>000000 [7,5,3,4,1,2,6]=>000000 [7,5,3,4,1,6,2]=>000000 [7,5,3,4,2,1,6]=>000000 [7,5,3,4,2,6,1]=>000000 [7,5,3,4,6,1,2]=>000000 [7,5,3,4,6,2,1]=>000000 [7,5,3,6,1,2,4]=>000000 [7,5,3,6,1,4,2]=>000000 [7,5,3,6,2,1,4]=>000000 [7,5,3,6,2,4,1]=>000000 [7,5,3,6,4,1,2]=>000000 [7,5,3,6,4,2,1]=>000000 [7,5,4,1,2,3,6]=>000000 [7,5,4,1,2,6,3]=>000000 [7,5,4,1,3,2,6]=>000000 [7,5,4,1,3,6,2]=>000000 [7,5,4,1,6,2,3]=>000000 [7,5,4,1,6,3,2]=>000000 [7,5,4,2,1,3,6]=>000000 [7,5,4,2,1,6,3]=>000000 [7,5,4,2,3,1,6]=>000000 [7,5,4,2,3,6,1]=>000000 [7,5,4,2,6,1,3]=>000000 [7,5,4,2,6,3,1]=>000000 [7,5,4,3,1,2,6]=>000000 [7,5,4,3,1,6,2]=>000000 [7,5,4,3,2,1,6]=>000000 [7,5,4,3,2,6,1]=>000000 [7,5,4,3,6,1,2]=>000000 [7,5,4,3,6,2,1]=>000000 [7,5,4,6,1,2,3]=>000000 [7,5,4,6,1,3,2]=>000000 [7,5,4,6,2,1,3]=>000000 [7,5,4,6,2,3,1]=>000000 [7,5,4,6,3,1,2]=>000000 [7,5,4,6,3,2,1]=>000000 [7,5,6,1,2,3,4]=>000000 [7,5,6,1,2,4,3]=>000000 [7,5,6,1,3,2,4]=>000000 [7,5,6,1,3,4,2]=>000000 [7,5,6,1,4,2,3]=>000000 [7,5,6,1,4,3,2]=>000000 [7,5,6,2,1,3,4]=>000000 [7,5,6,2,1,4,3]=>000000 [7,5,6,2,3,1,4]=>000000 [7,5,6,2,3,4,1]=>000000 [7,5,6,2,4,1,3]=>000000 [7,5,6,2,4,3,1]=>000000 [7,5,6,3,1,2,4]=>000000 [7,5,6,3,1,4,2]=>000000 [7,5,6,3,2,1,4]=>000000 [7,5,6,3,2,4,1]=>000000 [7,5,6,3,4,1,2]=>000000 [7,5,6,3,4,2,1]=>000000 [7,5,6,4,1,2,3]=>000000 [7,5,6,4,1,3,2]=>000000 [7,5,6,4,2,1,3]=>000000 [7,5,6,4,2,3,1]=>000000 [7,5,6,4,3,1,2]=>000000 [7,5,6,4,3,2,1]=>000000 [7,6,1,2,3,4,5]=>000000 [7,6,1,2,3,5,4]=>000000 [7,6,1,2,4,3,5]=>000000 [7,6,1,2,4,5,3]=>000000 [7,6,1,2,5,3,4]=>000000 [7,6,1,2,5,4,3]=>000000 [7,6,1,3,2,4,5]=>000000 [7,6,1,3,2,5,4]=>000000 [7,6,1,3,4,2,5]=>000000 [7,6,1,3,4,5,2]=>000000 [7,6,1,3,5,2,4]=>000000 [7,6,1,3,5,4,2]=>000000 [7,6,1,4,2,3,5]=>000000 [7,6,1,4,2,5,3]=>000000 [7,6,1,4,3,2,5]=>000000 [7,6,1,4,3,5,2]=>000000 [7,6,1,4,5,2,3]=>000000 [7,6,1,4,5,3,2]=>000000 [7,6,1,5,2,3,4]=>000000 [7,6,1,5,2,4,3]=>000000 [7,6,1,5,3,2,4]=>000000 [7,6,1,5,3,4,2]=>000000 [7,6,1,5,4,2,3]=>000000 [7,6,1,5,4,3,2]=>000000 [7,6,2,1,3,4,5]=>000000 [7,6,2,1,3,5,4]=>000000 [7,6,2,1,4,3,5]=>000000 [7,6,2,1,4,5,3]=>000000 [7,6,2,1,5,3,4]=>000000 [7,6,2,1,5,4,3]=>000000 [7,6,2,3,1,4,5]=>000000 [7,6,2,3,1,5,4]=>000000 [7,6,2,3,4,1,5]=>000000 [7,6,2,3,4,5,1]=>000000 [7,6,2,3,5,1,4]=>000000 [7,6,2,3,5,4,1]=>000000 [7,6,2,4,1,3,5]=>000000 [7,6,2,4,1,5,3]=>000000 [7,6,2,4,3,1,5]=>000000 [7,6,2,4,3,5,1]=>000000 [7,6,2,4,5,1,3]=>000000 [7,6,2,4,5,3,1]=>000000 [7,6,2,5,1,3,4]=>000000 [7,6,2,5,1,4,3]=>000000 [7,6,2,5,3,1,4]=>000000 [7,6,2,5,3,4,1]=>000000 [7,6,2,5,4,1,3]=>000000 [7,6,2,5,4,3,1]=>000000 [7,6,3,1,2,4,5]=>000000 [7,6,3,1,2,5,4]=>000000 [7,6,3,1,4,2,5]=>000000 [7,6,3,1,4,5,2]=>000000 [7,6,3,1,5,2,4]=>000000 [7,6,3,1,5,4,2]=>000000 [7,6,3,2,1,4,5]=>000000 [7,6,3,2,1,5,4]=>000000 [7,6,3,2,4,1,5]=>000000 [7,6,3,2,4,5,1]=>000000 [7,6,3,2,5,1,4]=>000000 [7,6,3,2,5,4,1]=>000000 [7,6,3,4,1,2,5]=>000000 [7,6,3,4,1,5,2]=>000000 [7,6,3,4,2,1,5]=>000000 [7,6,3,4,2,5,1]=>000000 [7,6,3,4,5,1,2]=>000000 [7,6,3,4,5,2,1]=>000000 [7,6,3,5,1,2,4]=>000000 [7,6,3,5,1,4,2]=>000000 [7,6,3,5,2,1,4]=>000000 [7,6,3,5,2,4,1]=>000000 [7,6,3,5,4,1,2]=>000000 [7,6,3,5,4,2,1]=>000000 [7,6,4,1,2,3,5]=>000000 [7,6,4,1,2,5,3]=>000000 [7,6,4,1,3,2,5]=>000000 [7,6,4,1,3,5,2]=>000000 [7,6,4,1,5,2,3]=>000000 [7,6,4,1,5,3,2]=>000000 [7,6,4,2,1,3,5]=>000000 [7,6,4,2,1,5,3]=>000000 [7,6,4,2,3,1,5]=>000000 [7,6,4,2,3,5,1]=>000000 [7,6,4,2,5,1,3]=>000000 [7,6,4,2,5,3,1]=>000000 [7,6,4,3,1,2,5]=>000000 [7,6,4,3,1,5,2]=>000000 [7,6,4,3,2,1,5]=>000000 [7,6,4,3,2,5,1]=>000000 [7,6,4,3,5,1,2]=>000000 [7,6,4,3,5,2,1]=>000000 [7,6,4,5,1,2,3]=>000000 [7,6,4,5,1,3,2]=>000000 [7,6,4,5,2,1,3]=>000000 [7,6,4,5,2,3,1]=>000000 [7,6,4,5,3,1,2]=>000000 [7,6,4,5,3,2,1]=>000000 [7,6,5,1,2,3,4]=>000000 [7,6,5,1,2,4,3]=>000000 [7,6,5,1,3,2,4]=>000000 [7,6,5,1,3,4,2]=>000000 [7,6,5,1,4,2,3]=>000000 [7,6,5,1,4,3,2]=>000000 [7,6,5,2,1,3,4]=>000000 [7,6,5,2,1,4,3]=>000000 [7,6,5,2,3,1,4]=>000000 [7,6,5,2,3,4,1]=>000000 [7,6,5,2,4,1,3]=>000000 [7,6,5,2,4,3,1]=>000000 [7,6,5,3,1,2,4]=>000000 [7,6,5,3,1,4,2]=>000000 [7,6,5,3,2,1,4]=>000000 [7,6,5,3,2,4,1]=>000000 [7,6,5,3,4,1,2]=>000000 [7,6,5,3,4,2,1]=>000000 [7,6,5,4,1,2,3]=>000000 [7,6,5,4,1,3,2]=>000000 [7,6,5,4,2,1,3]=>000000 [7,6,5,4,2,3,1]=>000000 [7,6,5,4,3,1,2]=>000000 [7,6,5,4,3,2,1]=>000000 [8,7,6,5,4,3,2,1]=>0000000 [8,7,5,6,3,4,2,1]=>0000000 [8,6,7,5,4,2,3,1]=>0000000 [8,6,5,7,3,2,4,1]=>0000000 [8,5,6,7,2,3,4,1]=>0000000 [7,8,6,5,4,3,1,2]=>0000000 [7,8,5,6,3,4,1,2]=>0000000 [5,6,7,8,3,4,1,2]=>0000000 [7,8,3,4,5,6,1,2]=>0000000 [3,4,5,6,7,8,1,2]=>0000000 [7,6,8,5,4,2,1,3]=>0000000 [6,7,8,5,4,1,2,3]=>0000000 [7,6,5,8,3,2,1,4]=>0000000 [7,5,6,8,2,3,1,4]=>0000000 [6,7,5,8,3,1,2,4]=>0000000 [6,5,7,8,2,1,3,4]=>0000000 [7,8,5,6,1,2,3,4]=>0000000 [5,6,7,8,1,2,3,4]=>0000000 [7,8,1,2,3,4,5,6]=>0000000 [1,2,3,4,5,6,7,8]=>1111111 [2,1,8,7,6,5,4,3]=>0100000 [4,3,2,1,8,7,6,5]=>0001000 [3,4,2,1,7,8,6,5]=>0001000 [2,4,3,1,7,6,8,5]=>0001000 [3,2,4,1,6,8,7,5]=>0001000 [2,3,4,1,6,7,8,5]=>0001000 [2,1,4,3,8,7,6,5]=>0101000 [3,2,1,4,5,8,7,6]=>0011100 [2,3,1,4,5,7,8,6]=>0011100 [6,5,4,3,2,1,8,7]=>0000010 [2,1,6,5,4,3,8,7]=>0100010 [4,3,2,1,6,5,8,7]=>0001010 [2,1,4,3,6,5,8,7]=>0101010 [2,1,3,4,5,6,8,7]=>0111110 [1,4,3,2,7,6,5,8]=>1001001 [1,3,4,2,6,7,5,8]=>1001001 [1,3,2,4,5,7,6,8]=>1011101 [1,2,4,3,6,5,7,8]=>1101011 [2,1,8,5,4,7,6,3]=>0100000 [4,2,3,1,8,6,7,5]=>0001000 [6,3,2,5,4,1,8,7]=>0000010 [8,3,2,5,4,7,6,1]=>0000000 [8,3,2,7,6,5,4,1]=>0000000 [8,5,4,3,2,7,6,1]=>0000000 [8,7,4,3,6,5,2,1]=>0000000 [2,4,1,3,7,5,8,6]=>0001000 [2,1,4,3,7,8,5,6]=>0101000 [2,4,5,6,7,1,8,3]=>0000000 [2,1,5,6,3,4,8,7]=>0100010 [2,5,1,7,3,4,8,6]=>0000000 [2,1,5,7,3,8,4,6]=>0100000 [2,3,5,6,1,7,8,4]=>0000000 [2,6,7,1,3,4,8,5]=>0000000 [2,1,6,7,8,3,4,5]=>0100000 [3,4,1,2,6,5,8,7]=>0001010 [3,1,4,2,6,8,5,7]=>0001000 [3,4,1,2,7,8,5,6]=>0001000 [3,5,1,6,2,4,8,7]=>0000010 [3,1,5,6,2,8,4,7]=>0000000 [3,5,1,7,2,8,4,6]=>0000000 [1,3,5,6,2,7,4,8]=>1000001 [3,6,7,1,2,8,4,5]=>0000000 [3,6,1,7,8,2,4,5]=>0000000 [3,1,2,4,5,8,6,7]=>0011100 [4,5,6,1,2,3,8,7]=>0000010 [4,1,5,6,8,2,3,7]=>0000000 [4,5,7,1,2,8,3,6]=>0000000 [4,5,1,7,8,2,3,6]=>0000000 [1,4,5,6,7,2,3,8]=>1000001 [4,6,7,1,8,2,3,5]=>0000000 [1,4,2,3,7,5,6,8]=>1001001 [4,1,2,3,8,5,6,7]=>0001000 [1,2,5,6,3,4,7,8]=>1100011 [1,5,2,7,3,4,6,8]=>1000001 [5,1,2,8,3,4,6,7]=>0000000 [1,6,7,2,3,4,5,8]=>1000001 [6,1,8,2,3,4,5,7]=>0000000 [5,3,2,6,1,4,8,7]=>0000010 [7,3,2,5,4,8,1,6]=>0000000 [8,4,5,2,3,7,6,1]=>0000000 [7,4,5,2,3,8,1,6]=>0000000 [6,4,5,2,3,1,8,7]=>0000010 [5,4,6,2,1,3,8,7]=>0000010 [3,6,1,5,4,2,8,7]=>0000010 [4,6,5,1,3,2,8,7]=>0000010 [5,6,4,3,1,2,8,7]=>0000010 [7,5,4,3,2,8,1,6]=>0000000 [8,6,4,3,7,2,5,1]=>0000000 [7,6,4,3,8,2,1,5]=>0000000 [6,7,4,3,8,1,2,5]=>0000000 [5,7,4,3,1,8,2,6]=>0000000 [4,7,5,1,3,8,2,6]=>0000000 [3,7,1,5,4,8,2,6]=>0000000 [2,1,7,5,4,8,3,6]=>0100000 [3,8,1,5,4,7,6,2]=>0000000 [4,8,5,1,3,7,6,2]=>0000000 [5,8,4,3,1,7,6,2]=>0000000 [6,8,4,3,7,1,5,2]=>0000000 [7,8,4,3,6,5,1,2]=>0000000 [6,8,5,7,3,1,4,2]=>0000000 [5,8,6,7,1,3,4,2]=>0000000 [4,8,6,1,7,3,5,2]=>0000000 [3,8,1,6,7,4,5,2]=>0000000 [2,1,8,6,7,4,5,3]=>0100000 [2,1,7,6,8,4,3,5]=>0100000 [3,7,1,6,8,4,2,5]=>0000000 [4,7,6,1,8,3,2,5]=>0000000 [5,7,6,8,1,3,2,4]=>0000000 [5,4,7,2,1,8,3,6]=>0000000 [6,4,7,2,8,1,3,5]=>0000000 [7,4,6,2,8,3,1,5]=>0000000 [8,4,6,2,7,3,5,1]=>0000000 [8,3,2,6,7,4,5,1]=>0000000 [7,3,2,6,8,4,1,5]=>0000000 [6,3,2,7,8,1,4,5]=>0000000 [5,3,2,7,1,8,4,6]=>0000000 [4,3,2,1,7,8,5,6]=>0001000 [3,4,1,2,8,7,6,5]=>0001000 [5,3,2,8,1,7,6,4]=>0000000 [6,3,2,8,7,1,5,4]=>0000000 [7,3,2,8,6,5,1,4]=>0000000 [8,4,7,2,6,5,3,1]=>0000000 [7,4,8,2,6,5,1,3]=>0000000 [6,4,8,2,7,1,5,3]=>0000000 [5,4,8,2,1,7,6,3]=>0000000 [4,5,8,1,2,7,6,3]=>0000000 [3,5,1,8,2,7,6,4]=>0000000 [2,1,5,8,3,7,6,4]=>0100000 [2,1,6,8,7,3,5,4]=>0100000 [3,6,1,8,7,2,5,4]=>0000000 [4,6,8,1,7,2,5,3]=>0000000 [5,6,8,7,1,2,4,3]=>0000000 [6,5,8,7,2,1,4,3]=>0000000 [7,5,8,6,2,4,1,3]=>0000000 [8,5,7,6,2,4,3,1]=>0000000 [5,7,8,6,1,4,2,3]=>0000000 [4,7,8,1,6,5,2,3]=>0000000 [3,7,1,8,6,5,2,4]=>0000000 [2,1,7,8,6,5,3,4]=>0100000 [3,8,1,7,6,5,4,2]=>0000000 [4,8,7,1,6,5,3,2]=>0000000 [5,8,7,6,1,4,3,2]=>0000000 [6,8,7,5,4,1,3,2]=>0000000 [6,3,8,1,2,7,4,5]=>0000000 [7,8,4,1,6,2,3,5]=>0000000 [6,5,8,7,3,4,1,2]=>0000000 [4,6,7,3,8,5,1,2]=>0000000 [3,6,7,4,5,8,1,2]=>0000000 [2,6,7,4,5,1,8,3]=>0000000 [1,6,7,4,5,2,3,8]=>1000001 [1,5,4,7,6,2,3,8]=>1000001 [2,5,4,7,6,1,8,3]=>0000000 [3,5,4,7,6,8,1,2]=>0000000 [4,5,3,7,8,6,1,2]=>0000000 [5,4,3,8,7,6,1,2]=>0000000 [6,4,8,3,7,5,1,2]=>0000000 [6,3,8,4,5,7,1,2]=>0000000 [5,3,4,8,6,7,1,2]=>0000000 [4,3,5,6,8,7,1,2]=>0000000 [3,2,5,6,1,8,7,4]=>0000000 [4,2,5,6,8,1,7,3]=>0000000 [5,2,4,8,6,1,7,3]=>0000000 [6,2,8,4,5,1,7,3]=>0000000 [7,8,2,4,5,1,6,3]=>0000000 [7,8,1,4,5,2,3,6]=>0000000 [6,1,8,4,5,2,3,7]=>0000000 [5,1,4,8,6,2,3,7]=>0000000 [4,1,3,2,8,6,5,7]=>0001000 [5,1,3,8,2,6,4,7]=>0000000 [6,1,8,3,2,5,4,7]=>0000000 [7,8,1,3,2,5,4,6]=>0000000 [7,8,2,3,1,5,6,4]=>0000000 [6,2,8,3,1,5,7,4]=>0000000 [5,2,3,8,1,6,7,4]=>0000000 [6,3,8,2,1,7,5,4]=>0000000 [7,8,3,2,1,6,5,4]=>0000000 [7,8,4,2,6,1,5,3]=>0000000 [5,4,2,8,7,1,6,3]=>0000000 [4,5,2,7,8,1,6,3]=>0000000 [3,5,2,7,1,8,6,4]=>0000000 [2,5,3,7,1,6,8,4]=>0000000 [1,5,3,7,2,6,4,8]=>1000001 [1,6,7,3,2,5,4,8]=>1000001 [2,6,7,3,1,5,8,4]=>0000000 [3,6,7,2,1,8,5,4]=>0000000 [4,6,7,2,8,1,5,3]=>0000000 [5,6,7,8,2,1,4,3]=>0000000 [7,8,5,6,2,1,4,3]=>0000000 [6,5,8,7,1,2,3,4]=>0000000 [5,4,1,8,7,2,3,6]=>0000000 [6,4,8,1,7,2,3,5]=>0000000 [7,8,3,1,2,6,4,5]=>0000000 [5,3,1,8,2,7,4,6]=>0000000 [4,3,1,2,8,7,5,6]=>0001000 [4,2,1,3,8,5,7,6]=>0001000 [5,2,1,8,3,4,7,6]=>0000000 [6,2,8,1,3,4,7,5]=>0000000 [7,8,2,1,3,4,6,5]=>0000000
click to show experimental identities (only identities of compositions of up to three maps are shown)
Description
The connectivity set of a permutation as a binary word.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.
References
[1] Stanley, R. P. The descent set and connectivity set of a permutation MathSciNet:2167418 arXiv:math/0507224
[2] Bergeron, N., Hohlweg, C., Zabrocki, M. Posets related to the connectivity set of Coxeter groups MathSciNet:2255139 arXiv:math/0509271
[3] Brändén, P., Claesson, A. Mesh patterns and the expansion of permutation statistics as sums of permutation patterns arXiv:1102.4226
Properties
surjective, graded
Sage code
def mapping(pi):
    C = [1 if all(pi[j] < pi[k]
                  for j in range(i)
                  for k in range(i, len(pi)))
         else 0
         for i in range(1, len(pi))]
    return Words([0,1])(C)

Weight
26
Created
Jan 29, 2020 at 13:25 by FindStatCrew
Updated
Jan 29, 2020 at 13:25 by Martin Rubey