Identifier
Mp00067: Permutations Foata bijectionPermutations
Mp00066: Permutations inversePermutations
Mp00109: Permutations descent wordBinary words
Images
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[1]=>[1]=>[1]=> [1,2]=>[1,2]=>[1,2]=>0 [2,1]=>[2,1]=>[2,1]=>1 [1,2,3]=>[1,2,3]=>[1,2,3]=>00 [1,3,2]=>[3,1,2]=>[2,3,1]=>01 [2,1,3]=>[2,1,3]=>[2,1,3]=>10 [2,3,1]=>[2,3,1]=>[3,1,2]=>10 [3,1,2]=>[1,3,2]=>[1,3,2]=>01 [3,2,1]=>[3,2,1]=>[3,2,1]=>11 [1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]=>000 [1,2,4,3]=>[4,1,2,3]=>[2,3,4,1]=>001 [1,3,2,4]=>[3,1,2,4]=>[2,3,1,4]=>010 [1,3,4,2]=>[3,1,4,2]=>[2,4,1,3]=>010 [1,4,2,3]=>[1,4,2,3]=>[1,3,4,2]=>001 [1,4,3,2]=>[4,3,1,2]=>[3,4,2,1]=>011 [2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]=>100 [2,1,4,3]=>[4,2,1,3]=>[3,2,4,1]=>101 [2,3,1,4]=>[2,3,1,4]=>[3,1,2,4]=>100 [2,3,4,1]=>[2,3,4,1]=>[4,1,2,3]=>100 [2,4,1,3]=>[2,1,4,3]=>[2,1,4,3]=>101 [2,4,3,1]=>[4,2,3,1]=>[4,2,3,1]=>101 [3,1,2,4]=>[1,3,2,4]=>[1,3,2,4]=>010 [3,1,4,2]=>[3,4,1,2]=>[3,4,1,2]=>010 [3,2,1,4]=>[3,2,1,4]=>[3,2,1,4]=>110 [3,2,4,1]=>[3,2,4,1]=>[4,2,1,3]=>110 [3,4,1,2]=>[1,3,4,2]=>[1,4,2,3]=>010 [3,4,2,1]=>[3,4,2,1]=>[4,3,1,2]=>110 [4,1,2,3]=>[1,2,4,3]=>[1,2,4,3]=>001 [4,1,3,2]=>[4,1,3,2]=>[2,4,3,1]=>011 [4,2,1,3]=>[2,4,1,3]=>[3,1,4,2]=>101 [4,2,3,1]=>[2,4,3,1]=>[4,1,3,2]=>101 [4,3,1,2]=>[1,4,3,2]=>[1,4,3,2]=>011 [4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]=>111 [1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]=>0000 [1,2,3,5,4]=>[5,1,2,3,4]=>[2,3,4,5,1]=>0001 [1,2,4,3,5]=>[4,1,2,3,5]=>[2,3,4,1,5]=>0010 [1,2,4,5,3]=>[4,1,2,5,3]=>[2,3,5,1,4]=>0010 [1,2,5,3,4]=>[1,5,2,3,4]=>[1,3,4,5,2]=>0001 [1,2,5,4,3]=>[5,4,1,2,3]=>[3,4,5,2,1]=>0011 [1,3,2,4,5]=>[3,1,2,4,5]=>[2,3,1,4,5]=>0100 [1,3,2,5,4]=>[5,3,1,2,4]=>[3,4,2,5,1]=>0101 [1,3,4,2,5]=>[3,1,4,2,5]=>[2,4,1,3,5]=>0100 [1,3,4,5,2]=>[3,1,4,5,2]=>[2,5,1,3,4]=>0100 [1,3,5,2,4]=>[3,1,2,5,4]=>[2,3,1,5,4]=>0101 [1,3,5,4,2]=>[5,3,1,4,2]=>[3,5,2,4,1]=>0101 [1,4,2,3,5]=>[1,4,2,3,5]=>[1,3,4,2,5]=>0010 [1,4,2,5,3]=>[4,5,1,2,3]=>[3,4,5,1,2]=>0010 [1,4,3,2,5]=>[4,3,1,2,5]=>[3,4,2,1,5]=>0110 [1,4,3,5,2]=>[4,3,1,5,2]=>[3,5,2,1,4]=>0110 [1,4,5,2,3]=>[1,4,2,5,3]=>[1,3,5,2,4]=>0010 [1,4,5,3,2]=>[4,5,1,3,2]=>[3,5,4,1,2]=>0110 [1,5,2,3,4]=>[1,2,5,3,4]=>[1,2,4,5,3]=>0001 [1,5,2,4,3]=>[5,1,4,2,3]=>[2,4,5,3,1]=>0011 [1,5,3,2,4]=>[3,5,1,2,4]=>[3,4,1,5,2]=>0101 [1,5,3,4,2]=>[5,1,3,4,2]=>[2,5,3,4,1]=>0101 [1,5,4,2,3]=>[1,5,4,2,3]=>[1,4,5,3,2]=>0011 [1,5,4,3,2]=>[5,4,3,1,2]=>[4,5,3,2,1]=>0111 [2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]=>1000 [2,1,3,5,4]=>[5,2,1,3,4]=>[3,2,4,5,1]=>1001 [2,1,4,3,5]=>[4,2,1,3,5]=>[3,2,4,1,5]=>1010 [2,1,4,5,3]=>[4,2,1,5,3]=>[3,2,5,1,4]=>1010 [2,1,5,3,4]=>[2,5,1,3,4]=>[3,1,4,5,2]=>1001 [2,1,5,4,3]=>[5,4,2,1,3]=>[4,3,5,2,1]=>1011 [2,3,1,4,5]=>[2,3,1,4,5]=>[3,1,2,4,5]=>1000 [2,3,1,5,4]=>[5,2,3,1,4]=>[4,2,3,5,1]=>1001 [2,3,4,1,5]=>[2,3,4,1,5]=>[4,1,2,3,5]=>1000 [2,3,4,5,1]=>[2,3,4,5,1]=>[5,1,2,3,4]=>1000 [2,3,5,1,4]=>[2,3,1,5,4]=>[3,1,2,5,4]=>1001 [2,3,5,4,1]=>[5,2,3,4,1]=>[5,2,3,4,1]=>1001 [2,4,1,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5]=>1010 [2,4,1,5,3]=>[4,2,5,1,3]=>[4,2,5,1,3]=>1010 [2,4,3,1,5]=>[4,2,3,1,5]=>[4,2,3,1,5]=>1010 [2,4,3,5,1]=>[4,2,3,5,1]=>[5,2,3,1,4]=>1010 [2,4,5,1,3]=>[2,1,4,5,3]=>[2,1,5,3,4]=>1010 [2,4,5,3,1]=>[4,2,5,3,1]=>[5,2,4,1,3]=>1010 [2,5,1,3,4]=>[2,1,3,5,4]=>[2,1,3,5,4]=>1001 [2,5,1,4,3]=>[5,2,1,4,3]=>[3,2,5,4,1]=>1011 [2,5,3,1,4]=>[2,5,3,1,4]=>[4,1,3,5,2]=>1001 [2,5,3,4,1]=>[2,5,3,4,1]=>[5,1,3,4,2]=>1001 [2,5,4,1,3]=>[2,5,1,4,3]=>[3,1,5,4,2]=>1011 [2,5,4,3,1]=>[5,4,2,3,1]=>[5,3,4,2,1]=>1011 [3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]=>0100 [3,1,2,5,4]=>[5,1,3,2,4]=>[2,4,3,5,1]=>0101 [3,1,4,2,5]=>[3,4,1,2,5]=>[3,4,1,2,5]=>0100 [3,1,4,5,2]=>[3,4,1,5,2]=>[3,5,1,2,4]=>0100 [3,1,5,2,4]=>[3,1,5,2,4]=>[2,4,1,5,3]=>0101 [3,1,5,4,2]=>[5,3,4,1,2]=>[4,5,2,3,1]=>0101 [3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5]=>1100 [3,2,1,5,4]=>[5,3,2,1,4]=>[4,3,2,5,1]=>1101 [3,2,4,1,5]=>[3,2,4,1,5]=>[4,2,1,3,5]=>1100 [3,2,4,5,1]=>[3,2,4,5,1]=>[5,2,1,3,4]=>1100 [3,2,5,1,4]=>[3,2,1,5,4]=>[3,2,1,5,4]=>1101 [3,2,5,4,1]=>[5,3,2,4,1]=>[5,3,2,4,1]=>1101 [3,4,1,2,5]=>[1,3,4,2,5]=>[1,4,2,3,5]=>0100 [3,4,1,5,2]=>[3,4,5,1,2]=>[4,5,1,2,3]=>0100 [3,4,2,1,5]=>[3,4,2,1,5]=>[4,3,1,2,5]=>1100 [3,4,2,5,1]=>[3,4,2,5,1]=>[5,3,1,2,4]=>1100 [3,4,5,1,2]=>[1,3,4,5,2]=>[1,5,2,3,4]=>0100 [3,4,5,2,1]=>[3,4,5,2,1]=>[5,4,1,2,3]=>1100 [3,5,1,2,4]=>[1,3,2,5,4]=>[1,3,2,5,4]=>0101 [3,5,1,4,2]=>[3,5,1,4,2]=>[3,5,1,4,2]=>0101 [3,5,2,1,4]=>[3,2,5,1,4]=>[4,2,1,5,3]=>1101 [3,5,2,4,1]=>[3,2,5,4,1]=>[5,2,1,4,3]=>1101 [3,5,4,1,2]=>[1,5,3,4,2]=>[1,5,3,4,2]=>0101 [3,5,4,2,1]=>[5,3,4,2,1]=>[5,4,2,3,1]=>1101 [4,1,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]=>0010 [4,1,2,5,3]=>[4,1,5,2,3]=>[2,4,5,1,3]=>0010 [4,1,3,2,5]=>[4,1,3,2,5]=>[2,4,3,1,5]=>0110 [4,1,3,5,2]=>[4,1,3,5,2]=>[2,5,3,1,4]=>0110 [4,1,5,2,3]=>[1,4,5,2,3]=>[1,4,5,2,3]=>0010 [4,1,5,3,2]=>[4,5,3,1,2]=>[4,5,3,1,2]=>0110 [4,2,1,3,5]=>[2,4,1,3,5]=>[3,1,4,2,5]=>1010 [4,2,1,5,3]=>[4,5,2,1,3]=>[4,3,5,1,2]=>1010 [4,2,3,1,5]=>[2,4,3,1,5]=>[4,1,3,2,5]=>1010 [4,2,3,5,1]=>[2,4,3,5,1]=>[5,1,3,2,4]=>1010 [4,2,5,1,3]=>[2,4,1,5,3]=>[3,1,5,2,4]=>1010 [4,2,5,3,1]=>[4,5,2,3,1]=>[5,3,4,1,2]=>1010 [4,3,1,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5]=>0110 [4,3,1,5,2]=>[4,3,5,1,2]=>[4,5,2,1,3]=>0110 [4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5]=>1110 [4,3,2,5,1]=>[4,3,2,5,1]=>[5,3,2,1,4]=>1110 [4,3,5,1,2]=>[1,4,3,5,2]=>[1,5,3,2,4]=>0110 [4,3,5,2,1]=>[4,3,5,2,1]=>[5,4,2,1,3]=>1110 [4,5,1,2,3]=>[1,2,4,5,3]=>[1,2,5,3,4]=>0010 [4,5,1,3,2]=>[4,1,5,3,2]=>[2,5,4,1,3]=>0110 [4,5,2,1,3]=>[2,4,5,1,3]=>[4,1,5,2,3]=>1010 [4,5,2,3,1]=>[2,4,5,3,1]=>[5,1,4,2,3]=>1010 [4,5,3,1,2]=>[1,4,5,3,2]=>[1,5,4,2,3]=>0110 [4,5,3,2,1]=>[4,5,3,2,1]=>[5,4,3,1,2]=>1110 [5,1,2,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]=>0001 [5,1,2,4,3]=>[5,1,2,4,3]=>[2,3,5,4,1]=>0011 [5,1,3,2,4]=>[1,5,3,2,4]=>[1,4,3,5,2]=>0101 [5,1,3,4,2]=>[3,1,5,4,2]=>[2,5,1,4,3]=>0101 [5,1,4,2,3]=>[1,5,2,4,3]=>[1,3,5,4,2]=>0011 [5,1,4,3,2]=>[5,4,1,3,2]=>[3,5,4,2,1]=>0111 [5,2,1,3,4]=>[2,1,5,3,4]=>[2,1,4,5,3]=>1001 [5,2,1,4,3]=>[5,2,4,1,3]=>[4,2,5,3,1]=>1011 [5,2,3,1,4]=>[2,3,5,1,4]=>[4,1,2,5,3]=>1001 [5,2,3,4,1]=>[2,3,5,4,1]=>[5,1,2,4,3]=>1001 [5,2,4,1,3]=>[2,1,5,4,3]=>[2,1,5,4,3]=>1011 [5,2,4,3,1]=>[5,2,4,3,1]=>[5,2,4,3,1]=>1011 [5,3,1,2,4]=>[1,3,5,2,4]=>[1,4,2,5,3]=>0101 [5,3,1,4,2]=>[3,5,4,1,2]=>[4,5,1,3,2]=>0101 [5,3,2,1,4]=>[3,5,2,1,4]=>[4,3,1,5,2]=>1101 [5,3,2,4,1]=>[3,5,2,4,1]=>[5,3,1,4,2]=>1101 [5,3,4,1,2]=>[1,3,5,4,2]=>[1,5,2,4,3]=>0101 [5,3,4,2,1]=>[3,5,4,2,1]=>[5,4,1,3,2]=>1101 [5,4,1,2,3]=>[1,2,5,4,3]=>[1,2,5,4,3]=>0011 [5,4,1,3,2]=>[5,1,4,3,2]=>[2,5,4,3,1]=>0111 [5,4,2,1,3]=>[2,5,4,1,3]=>[4,1,5,3,2]=>1011 [5,4,2,3,1]=>[2,5,4,3,1]=>[5,1,4,3,2]=>1011 [5,4,3,1,2]=>[1,5,4,3,2]=>[1,5,4,3,2]=>0111 [5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]=>1111 [1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>00000 [1,2,3,4,6,5]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>00001 [1,2,3,5,4,6]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>00010 [1,2,3,5,6,4]=>[5,1,2,3,6,4]=>[2,3,4,6,1,5]=>00010 [1,2,3,6,4,5]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>00001 [1,2,3,6,5,4]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>00011 [1,2,4,3,5,6]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>00100 [1,2,4,3,6,5]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>00101 [1,2,4,5,3,6]=>[4,1,2,5,3,6]=>[2,3,5,1,4,6]=>00100 [1,2,4,5,6,3]=>[4,1,2,5,6,3]=>[2,3,6,1,4,5]=>00100 [1,2,4,6,3,5]=>[4,1,2,3,6,5]=>[2,3,4,1,6,5]=>00101 [1,2,4,6,5,3]=>[6,4,1,2,5,3]=>[3,4,6,2,5,1]=>00101 [1,2,5,3,4,6]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]=>00010 [1,2,5,3,6,4]=>[5,6,1,2,3,4]=>[3,4,5,6,1,2]=>00010 [1,2,5,4,3,6]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>00110 [1,2,5,4,6,3]=>[5,4,1,2,6,3]=>[3,4,6,2,1,5]=>00110 [1,2,5,6,3,4]=>[1,5,2,3,6,4]=>[1,3,4,6,2,5]=>00010 [1,2,5,6,4,3]=>[5,6,1,2,4,3]=>[3,4,6,5,1,2]=>00110 [1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>00001 [1,2,6,3,5,4]=>[6,1,5,2,3,4]=>[2,4,5,6,3,1]=>00011 [1,2,6,4,3,5]=>[4,6,1,2,3,5]=>[3,4,5,1,6,2]=>00101 [1,2,6,4,5,3]=>[6,1,4,2,5,3]=>[2,4,6,3,5,1]=>00101 [1,2,6,5,3,4]=>[1,6,5,2,3,4]=>[1,4,5,6,3,2]=>00011 [1,2,6,5,4,3]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1]=>00111 [1,3,2,4,5,6]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>01000 [1,3,2,4,6,5]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>01001 [1,3,2,5,4,6]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>01010 [1,3,2,5,6,4]=>[5,3,1,2,6,4]=>[3,4,2,6,1,5]=>01010 [1,3,2,6,4,5]=>[3,6,1,2,4,5]=>[3,4,1,5,6,2]=>01001 [1,3,2,6,5,4]=>[6,5,3,1,2,4]=>[4,5,3,6,2,1]=>01011 [1,3,4,2,5,6]=>[3,1,4,2,5,6]=>[2,4,1,3,5,6]=>01000 [1,3,4,2,6,5]=>[6,3,1,4,2,5]=>[3,5,2,4,6,1]=>01001 [1,3,4,5,2,6]=>[3,1,4,5,2,6]=>[2,5,1,3,4,6]=>01000 [1,3,4,5,6,2]=>[3,1,4,5,6,2]=>[2,6,1,3,4,5]=>01000 [1,3,4,6,2,5]=>[3,1,4,2,6,5]=>[2,4,1,3,6,5]=>01001 [1,3,4,6,5,2]=>[6,3,1,4,5,2]=>[3,6,2,4,5,1]=>01001 [1,3,5,2,4,6]=>[3,1,2,5,4,6]=>[2,3,1,5,4,6]=>01010 [1,3,5,2,6,4]=>[5,3,1,6,2,4]=>[3,5,2,6,1,4]=>01010 [1,3,5,4,2,6]=>[5,3,1,4,2,6]=>[3,5,2,4,1,6]=>01010 [1,3,5,4,6,2]=>[5,3,1,4,6,2]=>[3,6,2,4,1,5]=>01010 [1,3,5,6,2,4]=>[3,1,2,5,6,4]=>[2,3,1,6,4,5]=>01010 [1,3,5,6,4,2]=>[5,3,1,6,4,2]=>[3,6,2,5,1,4]=>01010 [1,3,6,2,4,5]=>[3,1,2,4,6,5]=>[2,3,1,4,6,5]=>01001 [1,3,6,2,5,4]=>[6,3,1,2,5,4]=>[3,4,2,6,5,1]=>01011 [1,3,6,4,2,5]=>[3,6,1,4,2,5]=>[3,5,1,4,6,2]=>01001 [1,3,6,4,5,2]=>[6,1,3,4,5,2]=>[2,6,3,4,5,1]=>01001 [1,3,6,5,2,4]=>[3,6,1,2,5,4]=>[3,4,1,6,5,2]=>01011 [1,3,6,5,4,2]=>[6,5,3,1,4,2]=>[4,6,3,5,2,1]=>01011 [1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]=>00100 [1,4,2,3,6,5]=>[6,1,4,2,3,5]=>[2,4,5,3,6,1]=>00101 [1,4,2,5,3,6]=>[4,5,1,2,3,6]=>[3,4,5,1,2,6]=>00100 [1,4,2,5,6,3]=>[4,5,1,2,6,3]=>[3,4,6,1,2,5]=>00100 [1,4,2,6,3,5]=>[4,1,6,2,3,5]=>[2,4,5,1,6,3]=>00101 [1,4,2,6,5,3]=>[6,4,5,1,2,3]=>[4,5,6,2,3,1]=>00101 [1,4,3,2,5,6]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>01100 [1,4,3,2,6,5]=>[6,4,3,1,2,5]=>[4,5,3,2,6,1]=>01101 [1,4,3,5,2,6]=>[4,3,1,5,2,6]=>[3,5,2,1,4,6]=>01100 [1,4,3,5,6,2]=>[4,3,1,5,6,2]=>[3,6,2,1,4,5]=>01100 [1,4,3,6,2,5]=>[4,3,1,2,6,5]=>[3,4,2,1,6,5]=>01101 [1,4,3,6,5,2]=>[6,4,3,1,5,2]=>[4,6,3,2,5,1]=>01101 [1,4,5,2,3,6]=>[1,4,2,5,3,6]=>[1,3,5,2,4,6]=>00100 [1,4,5,2,6,3]=>[4,5,1,6,2,3]=>[3,5,6,1,2,4]=>00100 [1,4,5,3,2,6]=>[4,5,1,3,2,6]=>[3,5,4,1,2,6]=>01100 [1,4,5,3,6,2]=>[4,5,1,3,6,2]=>[3,6,4,1,2,5]=>01100 [1,4,5,6,2,3]=>[1,4,2,5,6,3]=>[1,3,6,2,4,5]=>00100 [1,4,5,6,3,2]=>[4,5,1,6,3,2]=>[3,6,5,1,2,4]=>01100 [1,4,6,2,3,5]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5]=>00101 [1,4,6,2,5,3]=>[4,6,1,2,5,3]=>[3,4,6,1,5,2]=>00101 [1,4,6,3,2,5]=>[4,1,6,3,2,5]=>[2,5,4,1,6,3]=>01101 [1,4,6,3,5,2]=>[4,3,1,6,5,2]=>[3,6,2,1,5,4]=>01101 [1,4,6,5,2,3]=>[1,6,4,2,5,3]=>[1,4,6,3,5,2]=>00101 [1,4,6,5,3,2]=>[6,4,5,1,3,2]=>[4,6,5,2,3,1]=>01101 [1,5,2,3,4,6]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6]=>00010 [1,5,2,3,6,4]=>[5,1,6,2,3,4]=>[2,4,5,6,1,3]=>00010 [1,5,2,4,3,6]=>[5,1,4,2,3,6]=>[2,4,5,3,1,6]=>00110 [1,5,2,4,6,3]=>[5,1,4,2,6,3]=>[2,4,6,3,1,5]=>00110 [1,5,2,6,3,4]=>[1,5,6,2,3,4]=>[1,4,5,6,2,3]=>00010 [1,5,2,6,4,3]=>[5,6,4,1,2,3]=>[4,5,6,3,1,2]=>00110 [1,5,3,2,4,6]=>[3,5,1,2,4,6]=>[3,4,1,5,2,6]=>01010 [1,5,3,2,6,4]=>[5,6,3,1,2,4]=>[4,5,3,6,1,2]=>01010 [1,5,3,4,2,6]=>[5,1,3,4,2,6]=>[2,5,3,4,1,6]=>01010 [1,5,3,4,6,2]=>[5,1,3,4,6,2]=>[2,6,3,4,1,5]=>01010 [1,5,3,6,2,4]=>[3,5,1,2,6,4]=>[3,4,1,6,2,5]=>01010 [1,5,3,6,4,2]=>[5,6,3,1,4,2]=>[4,6,3,5,1,2]=>01010 [1,5,4,2,3,6]=>[1,5,4,2,3,6]=>[1,4,5,3,2,6]=>00110 [1,5,4,2,6,3]=>[5,4,6,1,2,3]=>[4,5,6,2,1,3]=>00110 [1,5,4,3,2,6]=>[5,4,3,1,2,6]=>[4,5,3,2,1,6]=>01110 [1,5,4,3,6,2]=>[5,4,3,1,6,2]=>[4,6,3,2,1,5]=>01110 [1,5,4,6,2,3]=>[1,5,4,2,6,3]=>[1,4,6,3,2,5]=>00110 [1,5,4,6,3,2]=>[5,4,6,1,3,2]=>[4,6,5,2,1,3]=>01110 [1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[1,2,4,6,3,5]=>00010 [1,5,6,2,4,3]=>[5,1,6,2,4,3]=>[2,4,6,5,1,3]=>00110 [1,5,6,3,2,4]=>[1,5,6,3,2,4]=>[1,5,4,6,2,3]=>01010 [1,5,6,3,4,2]=>[5,1,3,6,4,2]=>[2,6,3,5,1,4]=>01010 [1,5,6,4,2,3]=>[1,5,6,2,4,3]=>[1,4,6,5,2,3]=>00110 [1,5,6,4,3,2]=>[5,6,4,1,3,2]=>[4,6,5,3,1,2]=>01110 [1,6,2,3,4,5]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>00001 [1,6,2,3,5,4]=>[6,1,2,5,3,4]=>[2,3,5,6,4,1]=>00011 [1,6,2,4,3,5]=>[1,6,4,2,3,5]=>[1,4,5,3,6,2]=>00101 [1,6,2,4,5,3]=>[6,1,2,4,5,3]=>[2,3,6,4,5,1]=>00101 [1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[1,3,5,6,4,2]=>00011 [1,6,2,5,4,3]=>[6,5,1,4,2,3]=>[3,5,6,4,2,1]=>00111 [1,6,3,2,4,5]=>[3,1,6,2,4,5]=>[2,4,1,5,6,3]=>01001 [1,6,3,2,5,4]=>[6,3,5,1,2,4]=>[4,5,2,6,3,1]=>01011 [1,6,3,4,2,5]=>[1,6,3,4,2,5]=>[1,5,3,4,6,2]=>01001 [1,6,3,4,5,2]=>[3,1,6,4,5,2]=>[2,6,1,4,5,3]=>01001 [1,6,3,5,2,4]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2]=>01011 [1,6,3,5,4,2]=>[6,5,1,3,4,2]=>[3,6,4,5,2,1]=>01011 [1,6,4,2,3,5]=>[1,4,6,2,3,5]=>[1,4,5,2,6,3]=>00101 [1,6,4,2,5,3]=>[4,6,5,1,2,3]=>[4,5,6,1,3,2]=>00101 [1,6,4,3,2,5]=>[4,6,3,1,2,5]=>[4,5,3,1,6,2]=>01101 [1,6,4,3,5,2]=>[4,6,3,1,5,2]=>[4,6,3,1,5,2]=>01101 [1,6,4,5,2,3]=>[1,6,2,4,5,3]=>[1,3,6,4,5,2]=>00101 [1,6,4,5,3,2]=>[6,4,1,5,3,2]=>[3,6,5,2,4,1]=>01101 [1,6,5,2,3,4]=>[1,2,6,5,3,4]=>[1,2,5,6,4,3]=>00011 [1,6,5,2,4,3]=>[6,1,5,4,2,3]=>[2,5,6,4,3,1]=>00111 [1,6,5,3,2,4]=>[3,6,5,1,2,4]=>[4,5,1,6,3,2]=>01011 [1,6,5,3,4,2]=>[6,1,5,3,4,2]=>[2,6,4,5,3,1]=>01011 [1,6,5,4,2,3]=>[1,6,5,4,2,3]=>[1,5,6,4,3,2]=>00111 [1,6,5,4,3,2]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1]=>01111 [2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>10000 [2,1,3,4,6,5]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>10001 [2,1,3,5,4,6]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>10010 [2,1,3,5,6,4]=>[5,2,1,3,6,4]=>[3,2,4,6,1,5]=>10010 [2,1,3,6,4,5]=>[2,6,1,3,4,5]=>[3,1,4,5,6,2]=>10001 [2,1,3,6,5,4]=>[6,5,2,1,3,4]=>[4,3,5,6,2,1]=>10011 [2,1,4,3,5,6]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>10100 [2,1,4,3,6,5]=>[6,4,2,1,3,5]=>[4,3,5,2,6,1]=>10101 [2,1,4,5,3,6]=>[4,2,1,5,3,6]=>[3,2,5,1,4,6]=>10100 [2,1,4,5,6,3]=>[4,2,1,5,6,3]=>[3,2,6,1,4,5]=>10100 [2,1,4,6,3,5]=>[4,2,1,3,6,5]=>[3,2,4,1,6,5]=>10101 [2,1,4,6,5,3]=>[6,4,2,1,5,3]=>[4,3,6,2,5,1]=>10101 [2,1,5,3,4,6]=>[2,5,1,3,4,6]=>[3,1,4,5,2,6]=>10010 [2,1,5,3,6,4]=>[5,6,2,1,3,4]=>[4,3,5,6,1,2]=>10010 [2,1,5,4,3,6]=>[5,4,2,1,3,6]=>[4,3,5,2,1,6]=>10110 [2,1,5,4,6,3]=>[5,4,2,1,6,3]=>[4,3,6,2,1,5]=>10110 [2,1,5,6,3,4]=>[2,5,1,3,6,4]=>[3,1,4,6,2,5]=>10010 [2,1,5,6,4,3]=>[5,6,2,1,4,3]=>[4,3,6,5,1,2]=>10110 [2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[2,1,4,5,6,3]=>10001 [2,1,6,3,5,4]=>[6,2,5,1,3,4]=>[4,2,5,6,3,1]=>10011 [2,1,6,4,3,5]=>[4,6,2,1,3,5]=>[4,3,5,1,6,2]=>10101 [2,1,6,4,5,3]=>[6,2,4,1,5,3]=>[4,2,6,3,5,1]=>10101 [2,1,6,5,3,4]=>[2,6,5,1,3,4]=>[4,1,5,6,3,2]=>10011 [2,1,6,5,4,3]=>[6,5,4,2,1,3]=>[5,4,6,3,2,1]=>10111 [2,3,1,4,5,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>10000 [2,3,1,4,6,5]=>[6,2,3,1,4,5]=>[4,2,3,5,6,1]=>10001 [2,3,1,5,4,6]=>[5,2,3,1,4,6]=>[4,2,3,5,1,6]=>10010 [2,3,1,5,6,4]=>[5,2,3,1,6,4]=>[4,2,3,6,1,5]=>10010 [2,3,1,6,4,5]=>[2,6,3,1,4,5]=>[4,1,3,5,6,2]=>10001 [2,3,1,6,5,4]=>[6,5,2,3,1,4]=>[5,3,4,6,2,1]=>10011 [2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>10000 [2,3,4,1,6,5]=>[6,2,3,4,1,5]=>[5,2,3,4,6,1]=>10001 [2,3,4,5,1,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>10000 [2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>10000 [2,3,4,6,1,5]=>[2,3,4,1,6,5]=>[4,1,2,3,6,5]=>10001 [2,3,4,6,5,1]=>[6,2,3,4,5,1]=>[6,2,3,4,5,1]=>10001 [2,3,5,1,4,6]=>[2,3,1,5,4,6]=>[3,1,2,5,4,6]=>10010 [2,3,5,1,6,4]=>[5,2,3,6,1,4]=>[5,2,3,6,1,4]=>10010 [2,3,5,4,1,6]=>[5,2,3,4,1,6]=>[5,2,3,4,1,6]=>10010 [2,3,5,4,6,1]=>[5,2,3,4,6,1]=>[6,2,3,4,1,5]=>10010 [2,3,5,6,1,4]=>[2,3,1,5,6,4]=>[3,1,2,6,4,5]=>10010 [2,3,5,6,4,1]=>[5,2,3,6,4,1]=>[6,2,3,5,1,4]=>10010 [2,3,6,1,4,5]=>[2,3,1,4,6,5]=>[3,1,2,4,6,5]=>10001 [2,3,6,1,5,4]=>[6,2,3,1,5,4]=>[4,2,3,6,5,1]=>10011 [2,3,6,4,1,5]=>[2,6,3,4,1,5]=>[5,1,3,4,6,2]=>10001 [2,3,6,4,5,1]=>[2,6,3,4,5,1]=>[6,1,3,4,5,2]=>10001 [2,3,6,5,1,4]=>[2,6,3,1,5,4]=>[4,1,3,6,5,2]=>10011 [2,3,6,5,4,1]=>[6,5,2,3,4,1]=>[6,3,4,5,2,1]=>10011 [2,4,1,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>10100 [2,4,1,3,6,5]=>[6,2,1,4,3,5]=>[3,2,5,4,6,1]=>10101 [2,4,1,5,3,6]=>[4,2,5,1,3,6]=>[4,2,5,1,3,6]=>10100 [2,4,1,5,6,3]=>[4,2,5,1,6,3]=>[4,2,6,1,3,5]=>10100 [2,4,1,6,3,5]=>[4,2,1,6,3,5]=>[3,2,5,1,6,4]=>10101 [2,4,1,6,5,3]=>[6,4,2,5,1,3]=>[5,3,6,2,4,1]=>10101 [2,4,3,1,5,6]=>[4,2,3,1,5,6]=>[4,2,3,1,5,6]=>10100 [2,4,3,1,6,5]=>[6,4,2,3,1,5]=>[5,3,4,2,6,1]=>10101 [2,4,3,5,1,6]=>[4,2,3,5,1,6]=>[5,2,3,1,4,6]=>10100 [2,4,3,5,6,1]=>[4,2,3,5,6,1]=>[6,2,3,1,4,5]=>10100 [2,4,3,6,1,5]=>[4,2,3,1,6,5]=>[4,2,3,1,6,5]=>10101 [2,4,3,6,5,1]=>[6,4,2,3,5,1]=>[6,3,4,2,5,1]=>10101 [2,4,5,1,3,6]=>[2,1,4,5,3,6]=>[2,1,5,3,4,6]=>10100 [2,4,5,1,6,3]=>[4,2,5,6,1,3]=>[5,2,6,1,3,4]=>10100 [2,4,5,3,1,6]=>[4,2,5,3,1,6]=>[5,2,4,1,3,6]=>10100 [2,4,5,3,6,1]=>[4,2,5,3,6,1]=>[6,2,4,1,3,5]=>10100 [2,4,5,6,1,3]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5]=>10100 [2,4,5,6,3,1]=>[4,2,5,6,3,1]=>[6,2,5,1,3,4]=>10100 [2,4,6,1,3,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>10101 [2,4,6,1,5,3]=>[4,2,6,1,5,3]=>[4,2,6,1,5,3]=>10101 [2,4,6,3,1,5]=>[4,2,3,6,1,5]=>[5,2,3,1,6,4]=>10101 [2,4,6,3,5,1]=>[4,2,3,6,5,1]=>[6,2,3,1,5,4]=>10101 [2,4,6,5,1,3]=>[2,6,1,4,5,3]=>[3,1,6,4,5,2]=>10101 [2,4,6,5,3,1]=>[6,4,2,5,3,1]=>[6,3,5,2,4,1]=>10101 [2,5,1,3,4,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>10010 [2,5,1,3,6,4]=>[5,2,1,6,3,4]=>[3,2,5,6,1,4]=>10010 [2,5,1,4,3,6]=>[5,2,1,4,3,6]=>[3,2,5,4,1,6]=>10110 [2,5,1,4,6,3]=>[5,2,1,4,6,3]=>[3,2,6,4,1,5]=>10110 [2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[3,1,5,6,2,4]=>10010 [2,5,1,6,4,3]=>[5,6,2,4,1,3]=>[5,3,6,4,1,2]=>10110 [2,5,3,1,4,6]=>[2,5,3,1,4,6]=>[4,1,3,5,2,6]=>10010 [2,5,3,1,6,4]=>[5,6,2,3,1,4]=>[5,3,4,6,1,2]=>10010 [2,5,3,4,1,6]=>[2,5,3,4,1,6]=>[5,1,3,4,2,6]=>10010 [2,5,3,4,6,1]=>[2,5,3,4,6,1]=>[6,1,3,4,2,5]=>10010 [2,5,3,6,1,4]=>[2,5,3,1,6,4]=>[4,1,3,6,2,5]=>10010 [2,5,3,6,4,1]=>[5,6,2,3,4,1]=>[6,3,4,5,1,2]=>10010 [2,5,4,1,3,6]=>[2,5,1,4,3,6]=>[3,1,5,4,2,6]=>10110 [2,5,4,1,6,3]=>[5,4,2,6,1,3]=>[5,3,6,2,1,4]=>10110 [2,5,4,3,1,6]=>[5,4,2,3,1,6]=>[5,3,4,2,1,6]=>10110 [2,5,4,3,6,1]=>[5,4,2,3,6,1]=>[6,3,4,2,1,5]=>10110 [2,5,4,6,1,3]=>[2,5,1,4,6,3]=>[3,1,6,4,2,5]=>10110 [2,5,4,6,3,1]=>[5,4,2,6,3,1]=>[6,3,5,2,1,4]=>10110 [2,5,6,1,3,4]=>[2,1,3,5,6,4]=>[2,1,3,6,4,5]=>10010 [2,5,6,1,4,3]=>[5,2,1,6,4,3]=>[3,2,6,5,1,4]=>10110 [2,5,6,3,1,4]=>[2,5,3,6,1,4]=>[5,1,3,6,2,4]=>10010 [2,5,6,3,4,1]=>[2,5,3,6,4,1]=>[6,1,3,5,2,4]=>10010 [2,5,6,4,1,3]=>[2,5,1,6,4,3]=>[3,1,6,5,2,4]=>10110 [2,5,6,4,3,1]=>[5,6,2,4,3,1]=>[6,3,5,4,1,2]=>10110 [2,6,1,3,4,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>10001 [2,6,1,3,5,4]=>[6,2,1,3,5,4]=>[3,2,4,6,5,1]=>10011 [2,6,1,4,3,5]=>[2,6,1,4,3,5]=>[3,1,5,4,6,2]=>10101 [2,6,1,4,5,3]=>[4,2,1,6,5,3]=>[3,2,6,1,5,4]=>10101 [2,6,1,5,3,4]=>[2,6,1,3,5,4]=>[3,1,4,6,5,2]=>10011 [2,6,1,5,4,3]=>[6,5,2,1,4,3]=>[4,3,6,5,2,1]=>10111 [2,6,3,1,4,5]=>[2,3,6,1,4,5]=>[4,1,2,5,6,3]=>10001 [2,6,3,1,5,4]=>[6,2,5,3,1,4]=>[5,2,4,6,3,1]=>10011 [2,6,3,4,1,5]=>[2,3,6,4,1,5]=>[5,1,2,4,6,3]=>10001 [2,6,3,4,5,1]=>[2,3,6,4,5,1]=>[6,1,2,4,5,3]=>10001 [2,6,3,5,1,4]=>[2,3,6,1,5,4]=>[4,1,2,6,5,3]=>10011 [2,6,3,5,4,1]=>[6,2,5,3,4,1]=>[6,2,4,5,3,1]=>10011 [2,6,4,1,3,5]=>[2,1,6,4,3,5]=>[2,1,5,4,6,3]=>10101 [2,6,4,1,5,3]=>[6,2,4,5,1,3]=>[5,2,6,3,4,1]=>10101 [2,6,4,3,1,5]=>[4,6,2,3,1,5]=>[5,3,4,1,6,2]=>10101 [2,6,4,3,5,1]=>[4,6,2,3,5,1]=>[6,3,4,1,5,2]=>10101 [2,6,4,5,1,3]=>[2,1,6,4,5,3]=>[2,1,6,4,5,3]=>10101 [2,6,4,5,3,1]=>[6,2,4,5,3,1]=>[6,2,5,3,4,1]=>10101 [2,6,5,1,3,4]=>[2,1,6,3,5,4]=>[2,1,4,6,5,3]=>10011 [2,6,5,1,4,3]=>[6,2,5,1,4,3]=>[4,2,6,5,3,1]=>10111 [2,6,5,3,1,4]=>[2,6,5,3,1,4]=>[5,1,4,6,3,2]=>10011 [2,6,5,3,4,1]=>[2,6,5,3,4,1]=>[6,1,4,5,3,2]=>10011 [2,6,5,4,1,3]=>[2,6,5,1,4,3]=>[4,1,6,5,3,2]=>10111 [2,6,5,4,3,1]=>[6,5,4,2,3,1]=>[6,4,5,3,2,1]=>10111 [3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>01000 [3,1,2,4,6,5]=>[6,1,3,2,4,5]=>[2,4,3,5,6,1]=>01001 [3,1,2,5,4,6]=>[5,1,3,2,4,6]=>[2,4,3,5,1,6]=>01010 [3,1,2,5,6,4]=>[5,1,3,2,6,4]=>[2,4,3,6,1,5]=>01010 [3,1,2,6,4,5]=>[1,6,3,2,4,5]=>[1,4,3,5,6,2]=>01001 [3,1,2,6,5,4]=>[6,5,1,3,2,4]=>[3,5,4,6,2,1]=>01011 [3,1,4,2,5,6]=>[3,4,1,2,5,6]=>[3,4,1,2,5,6]=>01000 [3,1,4,2,6,5]=>[6,3,4,1,2,5]=>[4,5,2,3,6,1]=>01001 [3,1,4,5,2,6]=>[3,4,1,5,2,6]=>[3,5,1,2,4,6]=>01000 [3,1,4,5,6,2]=>[3,4,1,5,6,2]=>[3,6,1,2,4,5]=>01000 [3,1,4,6,2,5]=>[3,4,1,2,6,5]=>[3,4,1,2,6,5]=>01001 [3,1,4,6,5,2]=>[6,3,4,1,5,2]=>[4,6,2,3,5,1]=>01001 [3,1,5,2,4,6]=>[3,1,5,2,4,6]=>[2,4,1,5,3,6]=>01010 [3,1,5,2,6,4]=>[5,3,6,1,2,4]=>[4,5,2,6,1,3]=>01010 [3,1,5,4,2,6]=>[5,3,4,1,2,6]=>[4,5,2,3,1,6]=>01010 [3,1,5,4,6,2]=>[5,3,4,1,6,2]=>[4,6,2,3,1,5]=>01010 [3,1,5,6,2,4]=>[3,1,5,2,6,4]=>[2,4,1,6,3,5]=>01010 [3,1,5,6,4,2]=>[5,3,6,1,4,2]=>[4,6,2,5,1,3]=>01010 [3,1,6,2,4,5]=>[3,1,2,6,4,5]=>[2,3,1,5,6,4]=>01001 [3,1,6,2,5,4]=>[6,3,1,5,2,4]=>[3,5,2,6,4,1]=>01011 [3,1,6,4,2,5]=>[3,6,4,1,2,5]=>[4,5,1,3,6,2]=>01001 [3,1,6,4,5,2]=>[3,6,4,1,5,2]=>[4,6,1,3,5,2]=>01001 [3,1,6,5,2,4]=>[3,6,1,5,2,4]=>[3,5,1,6,4,2]=>01011 [3,1,6,5,4,2]=>[6,5,3,4,1,2]=>[5,6,3,4,2,1]=>01011 [3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>11000 [3,2,1,4,6,5]=>[6,3,2,1,4,5]=>[4,3,2,5,6,1]=>11001 [3,2,1,5,4,6]=>[5,3,2,1,4,6]=>[4,3,2,5,1,6]=>11010 [3,2,1,5,6,4]=>[5,3,2,1,6,4]=>[4,3,2,6,1,5]=>11010 [3,2,1,6,4,5]=>[3,6,2,1,4,5]=>[4,3,1,5,6,2]=>11001 [3,2,1,6,5,4]=>[6,5,3,2,1,4]=>[5,4,3,6,2,1]=>11011 [3,2,4,1,5,6]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>11000 [3,2,4,1,6,5]=>[6,3,2,4,1,5]=>[5,3,2,4,6,1]=>11001 [3,2,4,5,1,6]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>11000 [3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>11000 [3,2,4,6,1,5]=>[3,2,4,1,6,5]=>[4,2,1,3,6,5]=>11001 [3,2,4,6,5,1]=>[6,3,2,4,5,1]=>[6,3,2,4,5,1]=>11001 [3,2,5,1,4,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>11010 [3,2,5,1,6,4]=>[5,3,2,6,1,4]=>[5,3,2,6,1,4]=>11010 [3,2,5,4,1,6]=>[5,3,2,4,1,6]=>[5,3,2,4,1,6]=>11010 [3,2,5,4,6,1]=>[5,3,2,4,6,1]=>[6,3,2,4,1,5]=>11010 [3,2,5,6,1,4]=>[3,2,1,5,6,4]=>[3,2,1,6,4,5]=>11010 [3,2,5,6,4,1]=>[5,3,2,6,4,1]=>[6,3,2,5,1,4]=>11010 [3,2,6,1,4,5]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>11001 [3,2,6,1,5,4]=>[6,3,2,1,5,4]=>[4,3,2,6,5,1]=>11011 [3,2,6,4,1,5]=>[3,6,2,4,1,5]=>[5,3,1,4,6,2]=>11001 [3,2,6,4,5,1]=>[3,6,2,4,5,1]=>[6,3,1,4,5,2]=>11001 [3,2,6,5,1,4]=>[3,6,2,1,5,4]=>[4,3,1,6,5,2]=>11011 [3,2,6,5,4,1]=>[6,5,3,2,4,1]=>[6,4,3,5,2,1]=>11011 [3,4,1,2,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>01000 [3,4,1,2,6,5]=>[6,1,3,4,2,5]=>[2,5,3,4,6,1]=>01001 [3,4,1,5,2,6]=>[3,4,5,1,2,6]=>[4,5,1,2,3,6]=>01000 [3,4,1,5,6,2]=>[3,4,5,1,6,2]=>[4,6,1,2,3,5]=>01000 [3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[3,5,1,2,6,4]=>01001 [3,4,1,6,5,2]=>[6,3,4,5,1,2]=>[5,6,2,3,4,1]=>01001 [3,4,2,1,5,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>11000 [3,4,2,1,6,5]=>[6,3,4,2,1,5]=>[5,4,2,3,6,1]=>11001 [3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>11000 [3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>11000 [3,4,2,6,1,5]=>[3,4,2,1,6,5]=>[4,3,1,2,6,5]=>11001 [3,4,2,6,5,1]=>[6,3,4,2,5,1]=>[6,4,2,3,5,1]=>11001 [3,4,5,1,2,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>01000 [3,4,5,1,6,2]=>[3,4,5,6,1,2]=>[5,6,1,2,3,4]=>01000 [3,4,5,2,1,6]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>11000 [3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>11000 [3,4,5,6,1,2]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>01000 [3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>11000 [3,4,6,1,2,5]=>[1,3,4,2,6,5]=>[1,4,2,3,6,5]=>01001 [3,4,6,1,5,2]=>[3,4,6,1,5,2]=>[4,6,1,2,5,3]=>01001 [3,4,6,2,1,5]=>[3,4,2,6,1,5]=>[5,3,1,2,6,4]=>11001 [3,4,6,2,5,1]=>[3,4,2,6,5,1]=>[6,3,1,2,5,4]=>11001 [3,4,6,5,1,2]=>[1,6,3,4,5,2]=>[1,6,3,4,5,2]=>01001 [3,4,6,5,2,1]=>[6,3,4,5,2,1]=>[6,5,2,3,4,1]=>11001 [3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>01010 [3,5,1,2,6,4]=>[5,1,3,6,2,4]=>[2,5,3,6,1,4]=>01010 [3,5,1,4,2,6]=>[3,5,1,4,2,6]=>[3,5,1,4,2,6]=>01010 [3,5,1,4,6,2]=>[3,5,1,4,6,2]=>[3,6,1,4,2,5]=>01010 [3,5,1,6,2,4]=>[3,1,5,6,2,4]=>[2,5,1,6,3,4]=>01010 [3,5,1,6,4,2]=>[5,3,6,4,1,2]=>[5,6,2,4,1,3]=>01010 [3,5,2,1,4,6]=>[3,2,5,1,4,6]=>[4,2,1,5,3,6]=>11010 [3,5,2,1,6,4]=>[5,3,6,2,1,4]=>[5,4,2,6,1,3]=>11010 [3,5,2,4,1,6]=>[3,2,5,4,1,6]=>[5,2,1,4,3,6]=>11010 [3,5,2,4,6,1]=>[3,2,5,4,6,1]=>[6,2,1,4,3,5]=>11010 [3,5,2,6,1,4]=>[3,2,5,1,6,4]=>[4,2,1,6,3,5]=>11010 [3,5,2,6,4,1]=>[5,3,6,2,4,1]=>[6,4,2,5,1,3]=>11010 [3,5,4,1,2,6]=>[1,5,3,4,2,6]=>[1,5,3,4,2,6]=>01010 [3,5,4,1,6,2]=>[5,3,4,6,1,2]=>[5,6,2,3,1,4]=>01010 [3,5,4,2,1,6]=>[5,3,4,2,1,6]=>[5,4,2,3,1,6]=>11010 [3,5,4,2,6,1]=>[5,3,4,2,6,1]=>[6,4,2,3,1,5]=>11010 [3,5,4,6,1,2]=>[1,5,3,4,6,2]=>[1,6,3,4,2,5]=>01010 [3,5,4,6,2,1]=>[5,3,4,6,2,1]=>[6,5,2,3,1,4]=>11010 [3,5,6,1,2,4]=>[1,3,2,5,6,4]=>[1,3,2,6,4,5]=>01010 [3,5,6,1,4,2]=>[3,5,1,6,4,2]=>[3,6,1,5,2,4]=>01010 [3,5,6,2,1,4]=>[3,2,5,6,1,4]=>[5,2,1,6,3,4]=>11010 [3,5,6,2,4,1]=>[3,2,5,6,4,1]=>[6,2,1,5,3,4]=>11010 [3,5,6,4,1,2]=>[1,5,3,6,4,2]=>[1,6,3,5,2,4]=>01010 [3,5,6,4,2,1]=>[5,3,6,4,2,1]=>[6,5,2,4,1,3]=>11010 [3,6,1,2,4,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>01001 [3,6,1,2,5,4]=>[6,1,3,2,5,4]=>[2,4,3,6,5,1]=>01011 [3,6,1,4,2,5]=>[3,1,6,4,2,5]=>[2,5,1,4,6,3]=>01001 [3,6,1,4,5,2]=>[3,4,1,6,5,2]=>[3,6,1,2,5,4]=>01001 [3,6,1,5,2,4]=>[3,1,6,2,5,4]=>[2,4,1,6,5,3]=>01011 [3,6,1,5,4,2]=>[6,3,5,1,4,2]=>[4,6,2,5,3,1]=>01011 [3,6,2,1,4,5]=>[3,2,1,6,4,5]=>[3,2,1,5,6,4]=>11001 [3,6,2,1,5,4]=>[6,3,2,5,1,4]=>[5,3,2,6,4,1]=>11011 [3,6,2,4,1,5]=>[3,2,4,6,1,5]=>[5,2,1,3,6,4]=>11001 [3,6,2,4,5,1]=>[3,2,4,6,5,1]=>[6,2,1,3,5,4]=>11001 [3,6,2,5,1,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>11011 [3,6,2,5,4,1]=>[6,3,2,5,4,1]=>[6,3,2,5,4,1]=>11011 [3,6,4,1,2,5]=>[1,3,6,4,2,5]=>[1,5,2,4,6,3]=>01001 [3,6,4,1,5,2]=>[3,6,4,5,1,2]=>[5,6,1,3,4,2]=>01001 [3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[5,4,1,3,6,2]=>11001 [3,6,4,2,5,1]=>[3,6,4,2,5,1]=>[6,4,1,3,5,2]=>11001 [3,6,4,5,1,2]=>[1,3,6,4,5,2]=>[1,6,2,4,5,3]=>01001 [3,6,4,5,2,1]=>[3,6,4,5,2,1]=>[6,5,1,3,4,2]=>11001 [3,6,5,1,2,4]=>[1,3,6,2,5,4]=>[1,4,2,6,5,3]=>01011 [3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[4,6,1,5,3,2]=>01011 [3,6,5,2,1,4]=>[3,6,2,5,1,4]=>[5,3,1,6,4,2]=>11011 [3,6,5,2,4,1]=>[3,6,2,5,4,1]=>[6,3,1,5,4,2]=>11011 [3,6,5,4,1,2]=>[1,6,5,3,4,2]=>[1,6,4,5,3,2]=>01011 [3,6,5,4,2,1]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>11011 [4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>00100 [4,1,2,3,6,5]=>[6,1,2,4,3,5]=>[2,3,5,4,6,1]=>00101 [4,1,2,5,3,6]=>[4,1,5,2,3,6]=>[2,4,5,1,3,6]=>00100 [4,1,2,5,6,3]=>[4,1,5,2,6,3]=>[2,4,6,1,3,5]=>00100 [4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[2,3,5,1,6,4]=>00101 [4,1,2,6,5,3]=>[6,4,1,5,2,3]=>[3,5,6,2,4,1]=>00101 [4,1,3,2,5,6]=>[4,1,3,2,5,6]=>[2,4,3,1,5,6]=>01100 [4,1,3,2,6,5]=>[6,4,1,3,2,5]=>[3,5,4,2,6,1]=>01101 [4,1,3,5,2,6]=>[4,1,3,5,2,6]=>[2,5,3,1,4,6]=>01100 [4,1,3,5,6,2]=>[4,1,3,5,6,2]=>[2,6,3,1,4,5]=>01100 [4,1,3,6,2,5]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5]=>01101 [4,1,3,6,5,2]=>[6,4,1,3,5,2]=>[3,6,4,2,5,1]=>01101 [4,1,5,2,3,6]=>[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>00100 [4,1,5,2,6,3]=>[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>00100 [4,1,5,3,2,6]=>[4,5,3,1,2,6]=>[4,5,3,1,2,6]=>01100 [4,1,5,3,6,2]=>[4,5,3,1,6,2]=>[4,6,3,1,2,5]=>01100 [4,1,5,6,2,3]=>[1,4,5,2,6,3]=>[1,4,6,2,3,5]=>00100 [4,1,5,6,3,2]=>[4,5,6,1,3,2]=>[4,6,5,1,2,3]=>01100 [4,1,6,2,3,5]=>[1,4,2,6,3,5]=>[1,3,5,2,6,4]=>00101 [4,1,6,2,5,3]=>[4,6,1,5,2,3]=>[3,5,6,1,4,2]=>00101 [4,1,6,3,2,5]=>[4,3,6,1,2,5]=>[4,5,2,1,6,3]=>01101 [4,1,6,3,5,2]=>[4,6,1,3,5,2]=>[3,6,4,1,5,2]=>01101 [4,1,6,5,2,3]=>[1,6,4,5,2,3]=>[1,5,6,3,4,2]=>00101 [4,1,6,5,3,2]=>[6,4,5,3,1,2]=>[5,6,4,2,3,1]=>01101 [4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[3,1,4,2,5,6]=>10100 [4,2,1,3,6,5]=>[6,2,4,1,3,5]=>[4,2,5,3,6,1]=>10101 [4,2,1,5,3,6]=>[4,5,2,1,3,6]=>[4,3,5,1,2,6]=>10100 [4,2,1,5,6,3]=>[4,5,2,1,6,3]=>[4,3,6,1,2,5]=>10100 [4,2,1,6,3,5]=>[4,2,6,1,3,5]=>[4,2,5,1,6,3]=>10101 [4,2,1,6,5,3]=>[6,4,5,2,1,3]=>[5,4,6,2,3,1]=>10101 [4,2,3,1,5,6]=>[2,4,3,1,5,6]=>[4,1,3,2,5,6]=>10100 [4,2,3,1,6,5]=>[6,2,4,3,1,5]=>[5,2,4,3,6,1]=>10101 [4,2,3,5,1,6]=>[2,4,3,5,1,6]=>[5,1,3,2,4,6]=>10100 [4,2,3,5,6,1]=>[2,4,3,5,6,1]=>[6,1,3,2,4,5]=>10100 [4,2,3,6,1,5]=>[2,4,3,1,6,5]=>[4,1,3,2,6,5]=>10101 [4,2,3,6,5,1]=>[6,2,4,3,5,1]=>[6,2,4,3,5,1]=>10101 [4,2,5,1,3,6]=>[2,4,1,5,3,6]=>[3,1,5,2,4,6]=>10100 [4,2,5,1,6,3]=>[4,5,2,6,1,3]=>[5,3,6,1,2,4]=>10100 [4,2,5,3,1,6]=>[4,5,2,3,1,6]=>[5,3,4,1,2,6]=>10100 [4,2,5,3,6,1]=>[4,5,2,3,6,1]=>[6,3,4,1,2,5]=>10100 [4,2,5,6,1,3]=>[2,4,1,5,6,3]=>[3,1,6,2,4,5]=>10100 [4,2,5,6,3,1]=>[4,5,2,6,3,1]=>[6,3,5,1,2,4]=>10100 [4,2,6,1,3,5]=>[2,4,1,3,6,5]=>[3,1,4,2,6,5]=>10101 [4,2,6,1,5,3]=>[4,6,2,1,5,3]=>[4,3,6,1,5,2]=>10101 [4,2,6,3,1,5]=>[4,2,6,3,1,5]=>[5,2,4,1,6,3]=>10101 [4,2,6,3,5,1]=>[4,2,6,3,5,1]=>[6,2,4,1,5,3]=>10101 [4,2,6,5,1,3]=>[2,6,4,1,5,3]=>[4,1,6,3,5,2]=>10101 [4,2,6,5,3,1]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>10101 [4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>01100 [4,3,1,2,6,5]=>[6,1,4,3,2,5]=>[2,5,4,3,6,1]=>01101 [4,3,1,5,2,6]=>[4,3,5,1,2,6]=>[4,5,2,1,3,6]=>01100 [4,3,1,5,6,2]=>[4,3,5,1,6,2]=>[4,6,2,1,3,5]=>01100 [4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[3,5,2,1,6,4]=>01101 [4,3,1,6,5,2]=>[6,4,3,5,1,2]=>[5,6,3,2,4,1]=>01101 [4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>11100 [4,3,2,1,6,5]=>[6,4,3,2,1,5]=>[5,4,3,2,6,1]=>11101 [4,3,2,5,1,6]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>11100 [4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>11100 [4,3,2,6,1,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>11101 [4,3,2,6,5,1]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>11101 [4,3,5,1,2,6]=>[1,4,3,5,2,6]=>[1,5,3,2,4,6]=>01100 [4,3,5,1,6,2]=>[4,3,5,6,1,2]=>[5,6,2,1,3,4]=>01100 [4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>11100 [4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>11100 [4,3,5,6,1,2]=>[1,4,3,5,6,2]=>[1,6,3,2,4,5]=>01100 [4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>11100 [4,3,6,1,2,5]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>01101 [4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[4,6,2,1,5,3]=>01101 [4,3,6,2,1,5]=>[4,3,2,6,1,5]=>[5,3,2,1,6,4]=>11101 [4,3,6,2,5,1]=>[4,3,2,6,5,1]=>[6,3,2,1,5,4]=>11101 [4,3,6,5,1,2]=>[1,6,4,3,5,2]=>[1,6,4,3,5,2]=>01101 [4,3,6,5,2,1]=>[6,4,3,5,2,1]=>[6,5,3,2,4,1]=>11101 [4,5,1,2,3,6]=>[1,2,4,5,3,6]=>[1,2,5,3,4,6]=>00100 [4,5,1,2,6,3]=>[4,1,5,6,2,3]=>[2,5,6,1,3,4]=>00100 [4,5,1,3,2,6]=>[4,1,5,3,2,6]=>[2,5,4,1,3,6]=>01100 [4,5,1,3,6,2]=>[4,1,5,3,6,2]=>[2,6,4,1,3,5]=>01100 [4,5,1,6,2,3]=>[1,4,5,6,2,3]=>[1,5,6,2,3,4]=>00100 [4,5,1,6,3,2]=>[4,5,6,3,1,2]=>[5,6,4,1,2,3]=>01100 [4,5,2,1,3,6]=>[2,4,5,1,3,6]=>[4,1,5,2,3,6]=>10100 [4,5,2,1,6,3]=>[4,5,6,2,1,3]=>[5,4,6,1,2,3]=>10100 [4,5,2,3,1,6]=>[2,4,5,3,1,6]=>[5,1,4,2,3,6]=>10100 [4,5,2,3,6,1]=>[2,4,5,3,6,1]=>[6,1,4,2,3,5]=>10100 [4,5,2,6,1,3]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5]=>10100 [4,5,2,6,3,1]=>[4,5,6,2,3,1]=>[6,4,5,1,2,3]=>10100 [4,5,3,1,2,6]=>[1,4,5,3,2,6]=>[1,5,4,2,3,6]=>01100 [4,5,3,1,6,2]=>[4,5,3,6,1,2]=>[5,6,3,1,2,4]=>01100 [4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>11100 [4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>11100 [4,5,3,6,1,2]=>[1,4,5,3,6,2]=>[1,6,4,2,3,5]=>01100 [4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>11100 [4,5,6,1,2,3]=>[1,2,4,5,6,3]=>[1,2,6,3,4,5]=>00100 [4,5,6,1,3,2]=>[4,1,5,6,3,2]=>[2,6,5,1,3,4]=>01100 [4,5,6,2,1,3]=>[2,4,5,6,1,3]=>[5,1,6,2,3,4]=>10100 [4,5,6,2,3,1]=>[2,4,5,6,3,1]=>[6,1,5,2,3,4]=>10100 [4,5,6,3,1,2]=>[1,4,5,6,3,2]=>[1,6,5,2,3,4]=>01100 [4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>11100 [4,6,1,2,3,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>00101 [4,6,1,2,5,3]=>[4,1,6,2,5,3]=>[2,4,6,1,5,3]=>00101 [4,6,1,3,2,5]=>[4,1,3,6,2,5]=>[2,5,3,1,6,4]=>01101 [4,6,1,3,5,2]=>[4,1,3,6,5,2]=>[2,6,3,1,5,4]=>01101 [4,6,1,5,2,3]=>[1,4,6,2,5,3]=>[1,4,6,2,5,3]=>00101 [4,6,1,5,3,2]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>01101 [4,6,2,1,3,5]=>[2,4,1,6,3,5]=>[3,1,5,2,6,4]=>10101 [4,6,2,1,5,3]=>[4,6,2,5,1,3]=>[5,3,6,1,4,2]=>10101 [4,6,2,3,1,5]=>[2,4,3,6,1,5]=>[5,1,3,2,6,4]=>10101 [4,6,2,3,5,1]=>[2,4,3,6,5,1]=>[6,1,3,2,5,4]=>10101 [4,6,2,5,1,3]=>[2,4,1,6,5,3]=>[3,1,6,2,5,4]=>10101 [4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[6,3,5,1,4,2]=>10101 [4,6,3,1,2,5]=>[1,4,3,6,2,5]=>[1,5,3,2,6,4]=>01101 [4,6,3,1,5,2]=>[4,3,6,5,1,2]=>[5,6,2,1,4,3]=>01101 [4,6,3,2,1,5]=>[4,3,6,2,1,5]=>[5,4,2,1,6,3]=>11101 [4,6,3,2,5,1]=>[4,3,6,2,5,1]=>[6,4,2,1,5,3]=>11101 [4,6,3,5,1,2]=>[1,4,3,6,5,2]=>[1,6,3,2,5,4]=>01101 [4,6,3,5,2,1]=>[4,3,6,5,2,1]=>[6,5,2,1,4,3]=>11101 [4,6,5,1,2,3]=>[1,2,6,4,5,3]=>[1,2,6,4,5,3]=>00101 [4,6,5,1,3,2]=>[6,1,4,5,3,2]=>[2,6,5,3,4,1]=>01101 [4,6,5,2,1,3]=>[2,6,4,5,1,3]=>[5,1,6,3,4,2]=>10101 [4,6,5,2,3,1]=>[2,6,4,5,3,1]=>[6,1,5,3,4,2]=>10101 [4,6,5,3,1,2]=>[1,6,4,5,3,2]=>[1,6,5,3,4,2]=>01101 [4,6,5,3,2,1]=>[6,4,5,3,2,1]=>[6,5,4,2,3,1]=>11101 [5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>00010 [5,1,2,3,6,4]=>[5,1,2,6,3,4]=>[2,3,5,6,1,4]=>00010 [5,1,2,4,3,6]=>[5,1,2,4,3,6]=>[2,3,5,4,1,6]=>00110 [5,1,2,4,6,3]=>[5,1,2,4,6,3]=>[2,3,6,4,1,5]=>00110 [5,1,2,6,3,4]=>[1,5,2,6,3,4]=>[1,3,5,6,2,4]=>00010 [5,1,2,6,4,3]=>[5,6,1,4,2,3]=>[3,5,6,4,1,2]=>00110 [5,1,3,2,4,6]=>[1,5,3,2,4,6]=>[1,4,3,5,2,6]=>01010 [5,1,3,2,6,4]=>[5,6,1,3,2,4]=>[3,5,4,6,1,2]=>01010 [5,1,3,4,2,6]=>[3,1,5,4,2,6]=>[2,5,1,4,3,6]=>01010 [5,1,3,4,6,2]=>[3,1,5,4,6,2]=>[2,6,1,4,3,5]=>01010 [5,1,3,6,2,4]=>[1,5,3,2,6,4]=>[1,4,3,6,2,5]=>01010 [5,1,3,6,4,2]=>[5,6,1,3,4,2]=>[3,6,4,5,1,2]=>01010 [5,1,4,2,3,6]=>[1,5,2,4,3,6]=>[1,3,5,4,2,6]=>00110 [5,1,4,2,6,3]=>[5,4,1,6,2,3]=>[3,5,6,2,1,4]=>00110 [5,1,4,3,2,6]=>[5,4,1,3,2,6]=>[3,5,4,2,1,6]=>01110 [5,1,4,3,6,2]=>[5,4,1,3,6,2]=>[3,6,4,2,1,5]=>01110 [5,1,4,6,2,3]=>[1,5,2,4,6,3]=>[1,3,6,4,2,5]=>00110 [5,1,4,6,3,2]=>[5,4,1,6,3,2]=>[3,6,5,2,1,4]=>01110 [5,1,6,2,3,4]=>[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>00010 [5,1,6,2,4,3]=>[5,1,6,4,2,3]=>[2,5,6,4,1,3]=>00110 [5,1,6,3,2,4]=>[3,5,6,1,2,4]=>[4,5,1,6,2,3]=>01010 [5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[2,6,4,5,1,3]=>01010 [5,1,6,4,2,3]=>[1,5,6,4,2,3]=>[1,5,6,4,2,3]=>00110 [5,1,6,4,3,2]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>01110 [5,2,1,3,4,6]=>[2,1,5,3,4,6]=>[2,1,4,5,3,6]=>10010 [5,2,1,3,6,4]=>[5,2,6,1,3,4]=>[4,2,5,6,1,3]=>10010 [5,2,1,4,3,6]=>[5,2,4,1,3,6]=>[4,2,5,3,1,6]=>10110 [5,2,1,4,6,3]=>[5,2,4,1,6,3]=>[4,2,6,3,1,5]=>10110 [5,2,1,6,3,4]=>[2,5,6,1,3,4]=>[4,1,5,6,2,3]=>10010 [5,2,1,6,4,3]=>[5,6,4,2,1,3]=>[5,4,6,3,1,2]=>10110 [5,2,3,1,4,6]=>[2,3,5,1,4,6]=>[4,1,2,5,3,6]=>10010 [5,2,3,1,6,4]=>[5,2,6,3,1,4]=>[5,2,4,6,1,3]=>10010 [5,2,3,4,1,6]=>[2,3,5,4,1,6]=>[5,1,2,4,3,6]=>10010 [5,2,3,4,6,1]=>[2,3,5,4,6,1]=>[6,1,2,4,3,5]=>10010 [5,2,3,6,1,4]=>[2,3,5,1,6,4]=>[4,1,2,6,3,5]=>10010 [5,2,3,6,4,1]=>[5,2,6,3,4,1]=>[6,2,4,5,1,3]=>10010 [5,2,4,1,3,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>10110 [5,2,4,1,6,3]=>[5,2,4,6,1,3]=>[5,2,6,3,1,4]=>10110 [5,2,4,3,1,6]=>[5,2,4,3,1,6]=>[5,2,4,3,1,6]=>10110 [5,2,4,3,6,1]=>[5,2,4,3,6,1]=>[6,2,4,3,1,5]=>10110 [5,2,4,6,1,3]=>[2,1,5,4,6,3]=>[2,1,6,4,3,5]=>10110 [5,2,4,6,3,1]=>[5,2,4,6,3,1]=>[6,2,5,3,1,4]=>10110 [5,2,6,1,3,4]=>[2,1,5,3,6,4]=>[2,1,4,6,3,5]=>10010 [5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[4,2,6,5,1,3]=>10110 [5,2,6,3,1,4]=>[2,5,6,3,1,4]=>[5,1,4,6,2,3]=>10010 [5,2,6,3,4,1]=>[2,5,6,3,4,1]=>[6,1,4,5,2,3]=>10010 [5,2,6,4,1,3]=>[2,5,6,1,4,3]=>[4,1,6,5,2,3]=>10110 [5,2,6,4,3,1]=>[5,6,4,2,3,1]=>[6,4,5,3,1,2]=>10110 [5,3,1,2,4,6]=>[1,3,5,2,4,6]=>[1,4,2,5,3,6]=>01010 [5,3,1,2,6,4]=>[5,1,6,3,2,4]=>[2,5,4,6,1,3]=>01010 [5,3,1,4,2,6]=>[3,5,4,1,2,6]=>[4,5,1,3,2,6]=>01010 [5,3,1,4,6,2]=>[3,5,4,1,6,2]=>[4,6,1,3,2,5]=>01010 [5,3,1,6,2,4]=>[3,5,1,6,2,4]=>[3,5,1,6,2,4]=>01010 [5,3,1,6,4,2]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>01010 [5,3,2,1,4,6]=>[3,5,2,1,4,6]=>[4,3,1,5,2,6]=>11010 [5,3,2,1,6,4]=>[5,6,3,2,1,4]=>[5,4,3,6,1,2]=>11010 [5,3,2,4,1,6]=>[3,5,2,4,1,6]=>[5,3,1,4,2,6]=>11010 [5,3,2,4,6,1]=>[3,5,2,4,6,1]=>[6,3,1,4,2,5]=>11010 [5,3,2,6,1,4]=>[3,5,2,1,6,4]=>[4,3,1,6,2,5]=>11010 [5,3,2,6,4,1]=>[5,6,3,2,4,1]=>[6,4,3,5,1,2]=>11010 [5,3,4,1,2,6]=>[1,3,5,4,2,6]=>[1,5,2,4,3,6]=>01010 [5,3,4,1,6,2]=>[3,5,4,6,1,2]=>[5,6,1,3,2,4]=>01010 [5,3,4,2,1,6]=>[3,5,4,2,1,6]=>[5,4,1,3,2,6]=>11010 [5,3,4,2,6,1]=>[3,5,4,2,6,1]=>[6,4,1,3,2,5]=>11010 [5,3,4,6,1,2]=>[1,3,5,4,6,2]=>[1,6,2,4,3,5]=>01010 [5,3,4,6,2,1]=>[3,5,4,6,2,1]=>[6,5,1,3,2,4]=>11010 [5,3,6,1,2,4]=>[1,3,5,2,6,4]=>[1,4,2,6,3,5]=>01010 [5,3,6,1,4,2]=>[3,5,6,1,4,2]=>[4,6,1,5,2,3]=>01010 [5,3,6,2,1,4]=>[3,5,2,6,1,4]=>[5,3,1,6,2,4]=>11010 [5,3,6,2,4,1]=>[3,5,2,6,4,1]=>[6,3,1,5,2,4]=>11010 [5,3,6,4,1,2]=>[1,5,6,3,4,2]=>[1,6,4,5,2,3]=>01010 [5,3,6,4,2,1]=>[5,6,3,4,2,1]=>[6,5,3,4,1,2]=>11010 [5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>00110 [5,4,1,2,6,3]=>[5,1,4,6,2,3]=>[2,5,6,3,1,4]=>00110 [5,4,1,3,2,6]=>[5,1,4,3,2,6]=>[2,5,4,3,1,6]=>01110 [5,4,1,3,6,2]=>[5,1,4,3,6,2]=>[2,6,4,3,1,5]=>01110 [5,4,1,6,2,3]=>[1,5,4,6,2,3]=>[1,5,6,3,2,4]=>00110 [5,4,1,6,3,2]=>[5,4,6,3,1,2]=>[5,6,4,2,1,3]=>01110 [5,4,2,1,3,6]=>[2,5,4,1,3,6]=>[4,1,5,3,2,6]=>10110 [5,4,2,1,6,3]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>10110 [5,4,2,3,1,6]=>[2,5,4,3,1,6]=>[5,1,4,3,2,6]=>10110 [5,4,2,3,6,1]=>[2,5,4,3,6,1]=>[6,1,4,3,2,5]=>10110 [5,4,2,6,1,3]=>[2,5,4,1,6,3]=>[4,1,6,3,2,5]=>10110 [5,4,2,6,3,1]=>[5,4,6,2,3,1]=>[6,4,5,2,1,3]=>10110 [5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>01110 [5,4,3,1,6,2]=>[5,4,3,6,1,2]=>[5,6,3,2,1,4]=>01110 [5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>11110 [5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>11110 [5,4,3,6,1,2]=>[1,5,4,3,6,2]=>[1,6,4,3,2,5]=>01110 [5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4]=>11110 [5,4,6,1,2,3]=>[1,2,5,4,6,3]=>[1,2,6,4,3,5]=>00110 [5,4,6,1,3,2]=>[5,1,4,6,3,2]=>[2,6,5,3,1,4]=>01110 [5,4,6,2,1,3]=>[2,5,4,6,1,3]=>[5,1,6,3,2,4]=>10110 [5,4,6,2,3,1]=>[2,5,4,6,3,1]=>[6,1,5,3,2,4]=>10110 [5,4,6,3,1,2]=>[1,5,4,6,3,2]=>[1,6,5,3,2,4]=>01110 [5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3]=>11110 [5,6,1,2,3,4]=>[1,2,3,5,6,4]=>[1,2,3,6,4,5]=>00010 [5,6,1,2,4,3]=>[5,1,2,6,4,3]=>[2,3,6,5,1,4]=>00110 [5,6,1,3,2,4]=>[1,5,3,6,2,4]=>[1,5,3,6,2,4]=>01010 [5,6,1,3,4,2]=>[3,1,5,6,4,2]=>[2,6,1,5,3,4]=>01010 [5,6,1,4,2,3]=>[1,5,2,6,4,3]=>[1,3,6,5,2,4]=>00110 [5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[3,6,5,4,1,2]=>01110 [5,6,2,1,3,4]=>[2,1,5,6,3,4]=>[2,1,5,6,3,4]=>10010 [5,6,2,1,4,3]=>[5,2,6,4,1,3]=>[5,2,6,4,1,3]=>10110 [5,6,2,3,1,4]=>[2,3,5,6,1,4]=>[5,1,2,6,3,4]=>10010 [5,6,2,3,4,1]=>[2,3,5,6,4,1]=>[6,1,2,5,3,4]=>10010 [5,6,2,4,1,3]=>[2,1,5,6,4,3]=>[2,1,6,5,3,4]=>10110 [5,6,2,4,3,1]=>[5,2,6,4,3,1]=>[6,2,5,4,1,3]=>10110 [5,6,3,1,2,4]=>[1,3,5,6,2,4]=>[1,5,2,6,3,4]=>01010 [5,6,3,1,4,2]=>[3,5,6,4,1,2]=>[5,6,1,4,2,3]=>01010 [5,6,3,2,1,4]=>[3,5,6,2,1,4]=>[5,4,1,6,2,3]=>11010 [5,6,3,2,4,1]=>[3,5,6,2,4,1]=>[6,4,1,5,2,3]=>11010 [5,6,3,4,1,2]=>[1,3,5,6,4,2]=>[1,6,2,5,3,4]=>01010 [5,6,3,4,2,1]=>[3,5,6,4,2,1]=>[6,5,1,4,2,3]=>11010 [5,6,4,1,2,3]=>[1,2,5,6,4,3]=>[1,2,6,5,3,4]=>00110 [5,6,4,1,3,2]=>[5,1,6,4,3,2]=>[2,6,5,4,1,3]=>01110 [5,6,4,2,1,3]=>[2,5,6,4,1,3]=>[5,1,6,4,2,3]=>10110 [5,6,4,2,3,1]=>[2,5,6,4,3,1]=>[6,1,5,4,2,3]=>10110 [5,6,4,3,1,2]=>[1,5,6,4,3,2]=>[1,6,5,4,2,3]=>01110 [5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>11110 [6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>00001 [6,1,2,3,5,4]=>[6,1,2,3,5,4]=>[2,3,4,6,5,1]=>00011 [6,1,2,4,3,5]=>[1,6,2,4,3,5]=>[1,3,5,4,6,2]=>00101 [6,1,2,4,5,3]=>[4,1,2,6,5,3]=>[2,3,6,1,5,4]=>00101 [6,1,2,5,3,4]=>[1,6,2,3,5,4]=>[1,3,4,6,5,2]=>00011 [6,1,2,5,4,3]=>[6,5,1,2,4,3]=>[3,4,6,5,2,1]=>00111 [6,1,3,2,4,5]=>[1,3,6,2,4,5]=>[1,4,2,5,6,3]=>01001 [6,1,3,2,5,4]=>[6,1,5,3,2,4]=>[2,5,4,6,3,1]=>01011 [6,1,3,4,2,5]=>[3,1,4,6,2,5]=>[2,5,1,3,6,4]=>01001 [6,1,3,4,5,2]=>[3,1,4,6,5,2]=>[2,6,1,3,5,4]=>01001 [6,1,3,5,2,4]=>[3,1,2,6,5,4]=>[2,3,1,6,5,4]=>01011 [6,1,3,5,4,2]=>[6,3,1,5,4,2]=>[3,6,2,5,4,1]=>01011 [6,1,4,2,3,5]=>[1,2,6,4,3,5]=>[1,2,5,4,6,3]=>00101 [6,1,4,2,5,3]=>[6,1,4,5,2,3]=>[2,5,6,3,4,1]=>00101 [6,1,4,3,2,5]=>[4,6,1,3,2,5]=>[3,5,4,1,6,2]=>01101 [6,1,4,3,5,2]=>[6,1,4,3,5,2]=>[2,6,4,3,5,1]=>01101 [6,1,4,5,2,3]=>[1,4,2,6,5,3]=>[1,3,6,2,5,4]=>00101 [6,1,4,5,3,2]=>[4,6,1,5,3,2]=>[3,6,5,1,4,2]=>01101 [6,1,5,2,3,4]=>[1,2,6,3,5,4]=>[1,2,4,6,5,3]=>00011 [6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[2,4,6,5,3,1]=>00111 [6,1,5,3,2,4]=>[1,6,5,3,2,4]=>[1,5,4,6,3,2]=>01011 [6,1,5,3,4,2]=>[6,1,3,5,4,2]=>[2,6,3,5,4,1]=>01011 [6,1,5,4,2,3]=>[1,6,5,2,4,3]=>[1,4,6,5,3,2]=>00111 [6,1,5,4,3,2]=>[6,5,4,1,3,2]=>[4,6,5,3,2,1]=>01111 [6,2,1,3,4,5]=>[2,1,3,6,4,5]=>[2,1,3,5,6,4]=>10001 [6,2,1,3,5,4]=>[6,2,1,5,3,4]=>[3,2,5,6,4,1]=>10011 [6,2,1,4,3,5]=>[2,6,4,1,3,5]=>[4,1,5,3,6,2]=>10101 [6,2,1,4,5,3]=>[6,2,1,4,5,3]=>[3,2,6,4,5,1]=>10101 [6,2,1,5,3,4]=>[2,6,1,5,3,4]=>[3,1,5,6,4,2]=>10011 [6,2,1,5,4,3]=>[6,5,2,4,1,3]=>[5,3,6,4,2,1]=>10111 [6,2,3,1,4,5]=>[2,3,1,6,4,5]=>[3,1,2,5,6,4]=>10001 [6,2,3,1,5,4]=>[6,2,3,5,1,4]=>[5,2,3,6,4,1]=>10011 [6,2,3,4,1,5]=>[2,3,4,6,1,5]=>[5,1,2,3,6,4]=>10001 [6,2,3,4,5,1]=>[2,3,4,6,5,1]=>[6,1,2,3,5,4]=>10001 [6,2,3,5,1,4]=>[2,3,1,6,5,4]=>[3,1,2,6,5,4]=>10011 [6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>10011 [6,2,4,1,3,5]=>[2,1,4,6,3,5]=>[2,1,5,3,6,4]=>10101 [6,2,4,1,5,3]=>[4,2,6,5,1,3]=>[5,2,6,1,4,3]=>10101 [6,2,4,3,1,5]=>[2,6,4,3,1,5]=>[5,1,4,3,6,2]=>10101 [6,2,4,3,5,1]=>[2,6,4,3,5,1]=>[6,1,4,3,5,2]=>10101 [6,2,4,5,1,3]=>[2,1,4,6,5,3]=>[2,1,6,3,5,4]=>10101 [6,2,4,5,3,1]=>[4,2,6,5,3,1]=>[6,2,5,1,4,3]=>10101 [6,2,5,1,3,4]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>10011 [6,2,5,1,4,3]=>[6,2,1,5,4,3]=>[3,2,6,5,4,1]=>10111 [6,2,5,3,1,4]=>[2,6,3,5,1,4]=>[5,1,3,6,4,2]=>10011 [6,2,5,3,4,1]=>[2,6,3,5,4,1]=>[6,1,3,5,4,2]=>10011 [6,2,5,4,1,3]=>[2,6,1,5,4,3]=>[3,1,6,5,4,2]=>10111 [6,2,5,4,3,1]=>[6,5,2,4,3,1]=>[6,3,5,4,2,1]=>10111 [6,3,1,2,4,5]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4]=>01001 [6,3,1,2,5,4]=>[6,1,3,5,2,4]=>[2,5,3,6,4,1]=>01011 [6,3,1,4,2,5]=>[3,4,6,1,2,5]=>[4,5,1,2,6,3]=>01001 [6,3,1,4,5,2]=>[3,6,1,4,5,2]=>[3,6,1,4,5,2]=>01001 [6,3,1,5,2,4]=>[3,1,6,5,2,4]=>[2,5,1,6,4,3]=>01011 [6,3,1,5,4,2]=>[6,3,5,4,1,2]=>[5,6,2,4,3,1]=>01011 [6,3,2,1,4,5]=>[3,2,6,1,4,5]=>[4,2,1,5,6,3]=>11001 [6,3,2,1,5,4]=>[6,3,5,2,1,4]=>[5,4,2,6,3,1]=>11011 [6,3,2,4,1,5]=>[3,2,6,4,1,5]=>[5,2,1,4,6,3]=>11001 [6,3,2,4,5,1]=>[3,2,6,4,5,1]=>[6,2,1,4,5,3]=>11001 [6,3,2,5,1,4]=>[3,2,6,1,5,4]=>[4,2,1,6,5,3]=>11011 [6,3,2,5,4,1]=>[6,3,5,2,4,1]=>[6,4,2,5,3,1]=>11011 [6,3,4,1,2,5]=>[1,3,4,6,2,5]=>[1,5,2,3,6,4]=>01001 [6,3,4,1,5,2]=>[3,4,6,5,1,2]=>[5,6,1,2,4,3]=>01001 [6,3,4,2,1,5]=>[3,4,6,2,1,5]=>[5,4,1,2,6,3]=>11001 [6,3,4,2,5,1]=>[3,4,6,2,5,1]=>[6,4,1,2,5,3]=>11001 [6,3,4,5,1,2]=>[1,3,4,6,5,2]=>[1,6,2,3,5,4]=>01001 [6,3,4,5,2,1]=>[3,4,6,5,2,1]=>[6,5,1,2,4,3]=>11001 [6,3,5,1,2,4]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>01011 [6,3,5,1,4,2]=>[3,6,1,5,4,2]=>[3,6,1,5,4,2]=>01011 [6,3,5,2,1,4]=>[3,2,6,5,1,4]=>[5,2,1,6,4,3]=>11011 [6,3,5,2,4,1]=>[3,2,6,5,4,1]=>[6,2,1,5,4,3]=>11011 [6,3,5,4,1,2]=>[1,6,3,5,4,2]=>[1,6,3,5,4,2]=>01011 [6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[6,5,2,4,3,1]=>11011 [6,4,1,2,3,5]=>[1,2,4,6,3,5]=>[1,2,5,3,6,4]=>00101 [6,4,1,2,5,3]=>[4,1,6,5,2,3]=>[2,5,6,1,4,3]=>00101 [6,4,1,3,2,5]=>[1,6,4,3,2,5]=>[1,5,4,3,6,2]=>01101 [6,4,1,3,5,2]=>[4,1,6,3,5,2]=>[2,6,4,1,5,3]=>01101 [6,4,1,5,2,3]=>[1,4,6,5,2,3]=>[1,5,6,2,4,3]=>00101 [6,4,1,5,3,2]=>[4,6,5,3,1,2]=>[5,6,4,1,3,2]=>01101 [6,4,2,1,3,5]=>[2,4,6,1,3,5]=>[4,1,5,2,6,3]=>10101 [6,4,2,1,5,3]=>[4,6,5,2,1,3]=>[5,4,6,1,3,2]=>10101 [6,4,2,3,1,5]=>[2,4,6,3,1,5]=>[5,1,4,2,6,3]=>10101 [6,4,2,3,5,1]=>[2,4,6,3,5,1]=>[6,1,4,2,5,3]=>10101 [6,4,2,5,1,3]=>[2,4,6,1,5,3]=>[4,1,6,2,5,3]=>10101 [6,4,2,5,3,1]=>[4,6,5,2,3,1]=>[6,4,5,1,3,2]=>10101 [6,4,3,1,2,5]=>[1,4,6,3,2,5]=>[1,5,4,2,6,3]=>01101 [6,4,3,1,5,2]=>[4,6,3,5,1,2]=>[5,6,3,1,4,2]=>01101 [6,4,3,2,1,5]=>[4,6,3,2,1,5]=>[5,4,3,1,6,2]=>11101 [6,4,3,2,5,1]=>[4,6,3,2,5,1]=>[6,4,3,1,5,2]=>11101 [6,4,3,5,1,2]=>[1,4,6,3,5,2]=>[1,6,4,2,5,3]=>01101 [6,4,3,5,2,1]=>[4,6,3,5,2,1]=>[6,5,3,1,4,2]=>11101 [6,4,5,1,2,3]=>[1,2,4,6,5,3]=>[1,2,6,3,5,4]=>00101 [6,4,5,1,3,2]=>[4,1,6,5,3,2]=>[2,6,5,1,4,3]=>01101 [6,4,5,2,1,3]=>[2,4,6,5,1,3]=>[5,1,6,2,4,3]=>10101 [6,4,5,2,3,1]=>[2,4,6,5,3,1]=>[6,1,5,2,4,3]=>10101 [6,4,5,3,1,2]=>[1,4,6,5,3,2]=>[1,6,5,2,4,3]=>01101 [6,4,5,3,2,1]=>[4,6,5,3,2,1]=>[6,5,4,1,3,2]=>11101 [6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>00011 [6,5,1,2,4,3]=>[6,1,2,5,4,3]=>[2,3,6,5,4,1]=>00111 [6,5,1,3,2,4]=>[1,6,3,5,2,4]=>[1,5,3,6,4,2]=>01011 [6,5,1,3,4,2]=>[3,1,6,5,4,2]=>[2,6,1,5,4,3]=>01011 [6,5,1,4,2,3]=>[1,6,2,5,4,3]=>[1,3,6,5,4,2]=>00111 [6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[3,6,5,4,2,1]=>01111 [6,5,2,1,3,4]=>[2,1,6,5,3,4]=>[2,1,5,6,4,3]=>10011 [6,5,2,1,4,3]=>[6,2,5,4,1,3]=>[5,2,6,4,3,1]=>10111 [6,5,2,3,1,4]=>[2,3,6,5,1,4]=>[5,1,2,6,4,3]=>10011 [6,5,2,3,4,1]=>[2,3,6,5,4,1]=>[6,1,2,5,4,3]=>10011 [6,5,2,4,1,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>10111 [6,5,2,4,3,1]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>10111 [6,5,3,1,2,4]=>[1,3,6,5,2,4]=>[1,5,2,6,4,3]=>01011 [6,5,3,1,4,2]=>[3,6,5,4,1,2]=>[5,6,1,4,3,2]=>01011 [6,5,3,2,1,4]=>[3,6,5,2,1,4]=>[5,4,1,6,3,2]=>11011 [6,5,3,2,4,1]=>[3,6,5,2,4,1]=>[6,4,1,5,3,2]=>11011 [6,5,3,4,1,2]=>[1,3,6,5,4,2]=>[1,6,2,5,4,3]=>01011 [6,5,3,4,2,1]=>[3,6,5,4,2,1]=>[6,5,1,4,3,2]=>11011 [6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>00111 [6,5,4,1,3,2]=>[6,1,5,4,3,2]=>[2,6,5,4,3,1]=>01111 [6,5,4,2,1,3]=>[2,6,5,4,1,3]=>[5,1,6,4,3,2]=>10111 [6,5,4,2,3,1]=>[2,6,5,4,3,1]=>[6,1,5,4,3,2]=>10111 [6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>01111 [6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>11111 [1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>000000 [1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>000001 [1,2,3,4,6,5,7]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>000010 [1,2,3,4,6,7,5]=>[6,1,2,3,4,7,5]=>[2,3,4,5,7,1,6]=>000010 [1,2,3,4,7,5,6]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>000001 [1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1]=>000011 [1,2,3,5,4,6,7]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>000100 [1,2,3,5,4,7,6]=>[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1]=>000101 [1,2,3,5,6,4,7]=>[5,1,2,3,6,4,7]=>[2,3,4,6,1,5,7]=>000100 [1,2,3,5,6,7,4]=>[5,1,2,3,6,7,4]=>[2,3,4,7,1,5,6]=>000100 [1,2,3,5,7,4,6]=>[5,1,2,3,4,7,6]=>[2,3,4,5,1,7,6]=>000101 [1,2,3,5,7,6,4]=>[7,5,1,2,3,6,4]=>[3,4,5,7,2,6,1]=>000101 [1,2,3,6,4,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]=>000010 [1,2,3,6,4,7,5]=>[6,7,1,2,3,4,5]=>[3,4,5,6,7,1,2]=>000010 [1,2,3,6,5,4,7]=>[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7]=>000110 [1,2,3,6,5,7,4]=>[6,5,1,2,3,7,4]=>[3,4,5,7,2,1,6]=>000110 [1,2,3,6,7,4,5]=>[1,6,2,3,4,7,5]=>[1,3,4,5,7,2,6]=>000010 [1,2,3,6,7,5,4]=>[6,7,1,2,3,5,4]=>[3,4,5,7,6,1,2]=>000110 [1,2,3,7,4,5,6]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>000001 [1,2,3,7,4,6,5]=>[7,1,6,2,3,4,5]=>[2,4,5,6,7,3,1]=>000011 [1,2,3,7,5,4,6]=>[5,7,1,2,3,4,6]=>[3,4,5,6,1,7,2]=>000101 [1,2,3,7,5,6,4]=>[7,1,5,2,3,6,4]=>[2,4,5,7,3,6,1]=>000101 [1,2,3,7,6,4,5]=>[1,7,6,2,3,4,5]=>[1,4,5,6,7,3,2]=>000011 [1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1]=>000111 [1,2,4,3,5,6,7]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>001000 [1,2,4,3,5,7,6]=>[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1]=>001001 [1,2,4,3,6,5,7]=>[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7]=>001010 [1,2,4,3,6,7,5]=>[6,4,1,2,3,7,5]=>[3,4,5,2,7,1,6]=>001010 [1,2,4,3,7,5,6]=>[4,7,1,2,3,5,6]=>[3,4,5,1,6,7,2]=>001001 [1,2,4,3,7,6,5]=>[7,6,4,1,2,3,5]=>[4,5,6,3,7,2,1]=>001011 [1,2,4,5,3,6,7]=>[4,1,2,5,3,6,7]=>[2,3,5,1,4,6,7]=>001000 [1,2,4,5,3,7,6]=>[7,4,1,2,5,3,6]=>[3,4,6,2,5,7,1]=>001001 [1,2,4,5,6,3,7]=>[4,1,2,5,6,3,7]=>[2,3,6,1,4,5,7]=>001000 [1,2,4,5,6,7,3]=>[4,1,2,5,6,7,3]=>[2,3,7,1,4,5,6]=>001000 [1,2,4,5,7,3,6]=>[4,1,2,5,3,7,6]=>[2,3,5,1,4,7,6]=>001001 [1,2,4,5,7,6,3]=>[7,4,1,2,5,6,3]=>[3,4,7,2,5,6,1]=>001001 [1,2,4,6,3,5,7]=>[4,1,2,3,6,5,7]=>[2,3,4,1,6,5,7]=>001010 [1,2,4,6,3,7,5]=>[6,4,1,2,7,3,5]=>[3,4,6,2,7,1,5]=>001010 [1,2,4,6,5,3,7]=>[6,4,1,2,5,3,7]=>[3,4,6,2,5,1,7]=>001010 [1,2,4,6,5,7,3]=>[6,4,1,2,5,7,3]=>[3,4,7,2,5,1,6]=>001010 [1,2,4,6,7,3,5]=>[4,1,2,3,6,7,5]=>[2,3,4,1,7,5,6]=>001010 [1,2,4,6,7,5,3]=>[6,4,1,2,7,5,3]=>[3,4,7,2,6,1,5]=>001010 [1,2,4,7,3,5,6]=>[4,1,2,3,5,7,6]=>[2,3,4,1,5,7,6]=>001001 [1,2,4,7,3,6,5]=>[7,4,1,2,3,6,5]=>[3,4,5,2,7,6,1]=>001011 [1,2,4,7,5,3,6]=>[4,7,1,2,5,3,6]=>[3,4,6,1,5,7,2]=>001001 [1,2,4,7,5,6,3]=>[7,1,4,2,5,6,3]=>[2,4,7,3,5,6,1]=>001001 [1,2,4,7,6,3,5]=>[4,7,1,2,3,6,5]=>[3,4,5,1,7,6,2]=>001011 [1,2,4,7,6,5,3]=>[7,6,4,1,2,5,3]=>[4,5,7,3,6,2,1]=>001011 [1,2,5,3,4,6,7]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]=>000100 [1,2,5,3,4,7,6]=>[7,1,5,2,3,4,6]=>[2,4,5,6,3,7,1]=>000101 [1,2,5,3,6,4,7]=>[5,6,1,2,3,4,7]=>[3,4,5,6,1,2,7]=>000100 [1,2,5,3,6,7,4]=>[5,6,1,2,3,7,4]=>[3,4,5,7,1,2,6]=>000100 [1,2,5,3,7,4,6]=>[5,1,7,2,3,4,6]=>[2,4,5,6,1,7,3]=>000101 [1,2,5,3,7,6,4]=>[7,5,6,1,2,3,4]=>[4,5,6,7,2,3,1]=>000101 [1,2,5,4,3,6,7]=>[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7]=>001100 [1,2,5,4,3,7,6]=>[7,5,4,1,2,3,6]=>[4,5,6,3,2,7,1]=>001101 [1,2,5,4,6,3,7]=>[5,4,1,2,6,3,7]=>[3,4,6,2,1,5,7]=>001100 [1,2,5,4,6,7,3]=>[5,4,1,2,6,7,3]=>[3,4,7,2,1,5,6]=>001100 [1,2,5,4,7,3,6]=>[5,4,1,2,3,7,6]=>[3,4,5,2,1,7,6]=>001101 [1,2,5,4,7,6,3]=>[7,5,4,1,2,6,3]=>[4,5,7,3,2,6,1]=>001101 [1,2,5,6,3,4,7]=>[1,5,2,3,6,4,7]=>[1,3,4,6,2,5,7]=>000100 [1,2,5,6,3,7,4]=>[5,6,1,2,7,3,4]=>[3,4,6,7,1,2,5]=>000100 [1,2,5,6,4,3,7]=>[5,6,1,2,4,3,7]=>[3,4,6,5,1,2,7]=>001100 [1,2,5,6,4,7,3]=>[5,6,1,2,4,7,3]=>[3,4,7,5,1,2,6]=>001100 [1,2,5,6,7,3,4]=>[1,5,2,3,6,7,4]=>[1,3,4,7,2,5,6]=>000100 [1,2,5,6,7,4,3]=>[5,6,1,2,7,4,3]=>[3,4,7,6,1,2,5]=>001100 [1,2,5,7,3,4,6]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6]=>000101 [1,2,5,7,3,6,4]=>[5,7,1,2,3,6,4]=>[3,4,5,7,1,6,2]=>000101 [1,2,5,7,4,3,6]=>[5,1,7,2,4,3,6]=>[2,4,6,5,1,7,3]=>001101 [1,2,5,7,4,6,3]=>[5,4,1,2,7,6,3]=>[3,4,7,2,1,6,5]=>001101 [1,2,5,7,6,3,4]=>[1,7,5,2,3,6,4]=>[1,4,5,7,3,6,2]=>000101 [1,2,5,7,6,4,3]=>[7,5,6,1,2,4,3]=>[4,5,7,6,2,3,1]=>001101 [1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7]=>000010 [1,2,6,3,4,7,5]=>[6,1,7,2,3,4,5]=>[2,4,5,6,7,1,3]=>000010 [1,2,6,3,5,4,7]=>[6,1,5,2,3,4,7]=>[2,4,5,6,3,1,7]=>000110 [1,2,6,3,5,7,4]=>[6,1,5,2,3,7,4]=>[2,4,5,7,3,1,6]=>000110 [1,2,6,3,7,4,5]=>[1,6,7,2,3,4,5]=>[1,4,5,6,7,2,3]=>000010 [1,2,6,3,7,5,4]=>[6,7,5,1,2,3,4]=>[4,5,6,7,3,1,2]=>000110 [1,2,6,4,3,5,7]=>[4,6,1,2,3,5,7]=>[3,4,5,1,6,2,7]=>001010 [1,2,6,4,3,7,5]=>[6,7,4,1,2,3,5]=>[4,5,6,3,7,1,2]=>001010 [1,2,6,4,5,3,7]=>[6,1,4,2,5,3,7]=>[2,4,6,3,5,1,7]=>001010 [1,2,6,4,5,7,3]=>[6,1,4,2,5,7,3]=>[2,4,7,3,5,1,6]=>001010 [1,2,6,4,7,3,5]=>[4,6,1,2,3,7,5]=>[3,4,5,1,7,2,6]=>001010 [1,2,6,4,7,5,3]=>[6,7,4,1,2,5,3]=>[4,5,7,3,6,1,2]=>001010 [1,2,6,5,3,4,7]=>[1,6,5,2,3,4,7]=>[1,4,5,6,3,2,7]=>000110 [1,2,6,5,3,7,4]=>[6,5,7,1,2,3,4]=>[4,5,6,7,2,1,3]=>000110 [1,2,6,5,4,3,7]=>[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7]=>001110 [1,2,6,5,4,7,3]=>[6,5,4,1,2,7,3]=>[4,5,7,3,2,1,6]=>001110 [1,2,6,5,7,3,4]=>[1,6,5,2,3,7,4]=>[1,4,5,7,3,2,6]=>000110 [1,2,6,5,7,4,3]=>[6,5,7,1,2,4,3]=>[4,5,7,6,2,1,3]=>001110 [1,2,6,7,3,4,5]=>[1,2,6,3,4,7,5]=>[1,2,4,5,7,3,6]=>000010 [1,2,6,7,3,5,4]=>[6,1,7,2,3,5,4]=>[2,4,5,7,6,1,3]=>000110 [1,2,6,7,4,3,5]=>[1,6,7,2,4,3,5]=>[1,4,6,5,7,2,3]=>001010 [1,2,6,7,4,5,3]=>[6,1,4,2,7,5,3]=>[2,4,7,3,6,1,5]=>001010 [1,2,6,7,5,3,4]=>[1,6,7,2,3,5,4]=>[1,4,5,7,6,2,3]=>000110 [1,2,6,7,5,4,3]=>[6,7,5,1,2,4,3]=>[4,5,7,6,3,1,2]=>001110 [1,2,7,3,4,5,6]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>000001 [1,2,7,3,4,6,5]=>[7,1,2,6,3,4,5]=>[2,3,5,6,7,4,1]=>000011 [1,2,7,3,5,4,6]=>[1,7,5,2,3,4,6]=>[1,4,5,6,3,7,2]=>000101 [1,2,7,3,5,6,4]=>[7,1,2,5,3,6,4]=>[2,3,5,7,4,6,1]=>000101 [1,2,7,3,6,4,5]=>[1,7,2,6,3,4,5]=>[1,3,5,6,7,4,2]=>000011 [1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[3,5,6,7,4,2,1]=>000111 [1,2,7,4,3,5,6]=>[4,1,7,2,3,5,6]=>[2,4,5,1,6,7,3]=>001001 [1,2,7,4,3,6,5]=>[7,4,6,1,2,3,5]=>[4,5,6,2,7,3,1]=>001011 [1,2,7,4,5,3,6]=>[1,7,4,2,5,3,6]=>[1,4,6,3,5,7,2]=>001001 [1,2,7,4,5,6,3]=>[7,1,2,4,5,6,3]=>[2,3,7,4,5,6,1]=>001001 [1,2,7,4,6,3,5]=>[1,7,4,2,3,6,5]=>[1,4,5,3,7,6,2]=>001011 [1,2,7,4,6,5,3]=>[7,6,1,4,2,5,3]=>[3,5,7,4,6,2,1]=>001011 [1,2,7,5,3,4,6]=>[1,5,7,2,3,4,6]=>[1,4,5,6,2,7,3]=>000101 [1,2,7,5,3,6,4]=>[5,7,6,1,2,3,4]=>[4,5,6,7,1,3,2]=>000101 [1,2,7,5,4,3,6]=>[5,7,4,1,2,3,6]=>[4,5,6,3,1,7,2]=>001101 [1,2,7,5,4,6,3]=>[5,7,4,1,2,6,3]=>[4,5,7,3,1,6,2]=>001101 [1,2,7,5,6,3,4]=>[1,7,2,5,3,6,4]=>[1,3,5,7,4,6,2]=>000101 [1,2,7,5,6,4,3]=>[7,5,1,6,2,4,3]=>[3,5,7,6,2,4,1]=>001101 [1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>[1,2,5,6,7,4,3]=>000011 [1,2,7,6,3,5,4]=>[7,1,6,5,2,3,4]=>[2,5,6,7,4,3,1]=>000111 [1,2,7,6,4,3,5]=>[4,7,6,1,2,3,5]=>[4,5,6,1,7,3,2]=>001011 [1,2,7,6,4,5,3]=>[7,1,6,4,2,5,3]=>[2,5,7,4,6,3,1]=>001011 [1,2,7,6,5,3,4]=>[1,7,6,5,2,3,4]=>[1,5,6,7,4,3,2]=>000111 [1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1]=>001111 [1,3,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>010000 [1,3,2,4,5,7,6]=>[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1]=>010001 [1,3,2,4,6,5,7]=>[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7]=>010010 [1,3,2,4,6,7,5]=>[6,3,1,2,4,7,5]=>[3,4,2,5,7,1,6]=>010010 [1,3,2,4,7,5,6]=>[3,7,1,2,4,5,6]=>[3,4,1,5,6,7,2]=>010001 [1,3,2,4,7,6,5]=>[7,6,3,1,2,4,5]=>[4,5,3,6,7,2,1]=>010011 [1,3,2,5,4,6,7]=>[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7]=>010100 [1,3,2,5,4,7,6]=>[7,5,3,1,2,4,6]=>[4,5,3,6,2,7,1]=>010101 [1,3,2,5,6,4,7]=>[5,3,1,2,6,4,7]=>[3,4,2,6,1,5,7]=>010100 [1,3,2,5,6,7,4]=>[5,3,1,2,6,7,4]=>[3,4,2,7,1,5,6]=>010100 [1,3,2,5,7,4,6]=>[5,3,1,2,4,7,6]=>[3,4,2,5,1,7,6]=>010101 [1,3,2,5,7,6,4]=>[7,5,3,1,2,6,4]=>[4,5,3,7,2,6,1]=>010101 [1,3,2,6,4,5,7]=>[3,6,1,2,4,5,7]=>[3,4,1,5,6,2,7]=>010010 [1,3,2,6,4,7,5]=>[6,7,3,1,2,4,5]=>[4,5,3,6,7,1,2]=>010010 [1,3,2,6,5,4,7]=>[6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7]=>010110 [1,3,2,6,5,7,4]=>[6,5,3,1,2,7,4]=>[4,5,3,7,2,1,6]=>010110 [1,3,2,6,7,4,5]=>[3,6,1,2,4,7,5]=>[3,4,1,5,7,2,6]=>010010 [1,3,2,6,7,5,4]=>[6,7,3,1,2,5,4]=>[4,5,3,7,6,1,2]=>010110 [1,3,2,7,4,5,6]=>[3,1,7,2,4,5,6]=>[2,4,1,5,6,7,3]=>010001 [1,3,2,7,4,6,5]=>[7,3,6,1,2,4,5]=>[4,5,2,6,7,3,1]=>010011 [1,3,2,7,5,4,6]=>[5,7,3,1,2,4,6]=>[4,5,3,6,1,7,2]=>010101 [1,3,2,7,5,6,4]=>[7,3,5,1,2,6,4]=>[4,5,2,7,3,6,1]=>010101 [1,3,2,7,6,4,5]=>[3,7,6,1,2,4,5]=>[4,5,1,6,7,3,2]=>010011 [1,3,2,7,6,5,4]=>[7,6,5,3,1,2,4]=>[5,6,4,7,3,2,1]=>010111 [1,3,4,2,5,6,7]=>[3,1,4,2,5,6,7]=>[2,4,1,3,5,6,7]=>010000 [1,3,4,2,5,7,6]=>[7,3,1,4,2,5,6]=>[3,5,2,4,6,7,1]=>010001 [1,3,4,2,6,5,7]=>[6,3,1,4,2,5,7]=>[3,5,2,4,6,1,7]=>010010 [1,3,4,2,6,7,5]=>[6,3,1,4,2,7,5]=>[3,5,2,4,7,1,6]=>010010 [1,3,4,2,7,5,6]=>[3,7,1,4,2,5,6]=>[3,5,1,4,6,7,2]=>010001 [1,3,4,2,7,6,5]=>[7,6,3,1,4,2,5]=>[4,6,3,5,7,2,1]=>010011 [1,3,4,5,2,6,7]=>[3,1,4,5,2,6,7]=>[2,5,1,3,4,6,7]=>010000 [1,3,4,5,2,7,6]=>[7,3,1,4,5,2,6]=>[3,6,2,4,5,7,1]=>010001 [1,3,4,5,6,2,7]=>[3,1,4,5,6,2,7]=>[2,6,1,3,4,5,7]=>010000 [1,3,4,5,6,7,2]=>[3,1,4,5,6,7,2]=>[2,7,1,3,4,5,6]=>010000 [1,3,4,5,7,2,6]=>[3,1,4,5,2,7,6]=>[2,5,1,3,4,7,6]=>010001 [1,3,4,5,7,6,2]=>[7,3,1,4,5,6,2]=>[3,7,2,4,5,6,1]=>010001 [1,3,4,6,2,5,7]=>[3,1,4,2,6,5,7]=>[2,4,1,3,6,5,7]=>010010 [1,3,4,6,2,7,5]=>[6,3,1,4,7,2,5]=>[3,6,2,4,7,1,5]=>010010 [1,3,4,6,5,2,7]=>[6,3,1,4,5,2,7]=>[3,6,2,4,5,1,7]=>010010 [1,3,4,6,5,7,2]=>[6,3,1,4,5,7,2]=>[3,7,2,4,5,1,6]=>010010 [1,3,4,6,7,2,5]=>[3,1,4,2,6,7,5]=>[2,4,1,3,7,5,6]=>010010 [1,3,4,6,7,5,2]=>[6,3,1,4,7,5,2]=>[3,7,2,4,6,1,5]=>010010 [1,3,4,7,2,5,6]=>[3,1,4,2,5,7,6]=>[2,4,1,3,5,7,6]=>010001 [1,3,4,7,2,6,5]=>[7,3,1,4,2,6,5]=>[3,5,2,4,7,6,1]=>010011 [1,3,4,7,5,2,6]=>[3,7,1,4,5,2,6]=>[3,6,1,4,5,7,2]=>010001 [1,3,4,7,5,6,2]=>[7,1,3,4,5,6,2]=>[2,7,3,4,5,6,1]=>010001 [1,3,4,7,6,2,5]=>[3,7,1,4,2,6,5]=>[3,5,1,4,7,6,2]=>010011 [1,3,4,7,6,5,2]=>[7,6,3,1,4,5,2]=>[4,7,3,5,6,2,1]=>010011 [1,3,5,2,4,6,7]=>[3,1,2,5,4,6,7]=>[2,3,1,5,4,6,7]=>010100 [1,3,5,2,4,7,6]=>[7,3,1,2,5,4,6]=>[3,4,2,6,5,7,1]=>010101 [1,3,5,2,6,4,7]=>[5,3,1,6,2,4,7]=>[3,5,2,6,1,4,7]=>010100 [1,3,5,2,6,7,4]=>[5,3,1,6,2,7,4]=>[3,5,2,7,1,4,6]=>010100 [1,3,5,2,7,4,6]=>[5,3,1,2,7,4,6]=>[3,4,2,6,1,7,5]=>010101 [1,3,5,2,7,6,4]=>[7,5,3,1,6,2,4]=>[4,6,3,7,2,5,1]=>010101 [1,3,5,4,2,6,7]=>[5,3,1,4,2,6,7]=>[3,5,2,4,1,6,7]=>010100 [1,3,5,4,2,7,6]=>[7,5,3,1,4,2,6]=>[4,6,3,5,2,7,1]=>010101 [1,3,5,4,6,2,7]=>[5,3,1,4,6,2,7]=>[3,6,2,4,1,5,7]=>010100 [1,3,5,4,6,7,2]=>[5,3,1,4,6,7,2]=>[3,7,2,4,1,5,6]=>010100 [1,3,5,4,7,2,6]=>[5,3,1,4,2,7,6]=>[3,5,2,4,1,7,6]=>010101 [1,3,5,4,7,6,2]=>[7,5,3,1,4,6,2]=>[4,7,3,5,2,6,1]=>010101 [1,3,5,6,2,4,7]=>[3,1,2,5,6,4,7]=>[2,3,1,6,4,5,7]=>010100 [1,3,5,6,2,7,4]=>[5,3,1,6,7,2,4]=>[3,6,2,7,1,4,5]=>010100 [1,3,5,6,4,2,7]=>[5,3,1,6,4,2,7]=>[3,6,2,5,1,4,7]=>010100 [1,3,5,6,4,7,2]=>[5,3,1,6,4,7,2]=>[3,7,2,5,1,4,6]=>010100 [1,3,5,6,7,2,4]=>[3,1,2,5,6,7,4]=>[2,3,1,7,4,5,6]=>010100 [1,3,5,6,7,4,2]=>[5,3,1,6,7,4,2]=>[3,7,2,6,1,4,5]=>010100 [1,3,5,7,2,4,6]=>[3,1,2,5,4,7,6]=>[2,3,1,5,4,7,6]=>010101 [1,3,5,7,2,6,4]=>[5,3,1,7,2,6,4]=>[3,5,2,7,1,6,4]=>010101 [1,3,5,7,4,2,6]=>[5,3,1,4,7,2,6]=>[3,6,2,4,1,7,5]=>010101 [1,3,5,7,4,6,2]=>[5,3,1,4,7,6,2]=>[3,7,2,4,1,6,5]=>010101 [1,3,5,7,6,2,4]=>[3,7,1,2,5,6,4]=>[3,4,1,7,5,6,2]=>010101 [1,3,5,7,6,4,2]=>[7,5,3,1,6,4,2]=>[4,7,3,6,2,5,1]=>010101 [1,3,6,2,4,5,7]=>[3,1,2,4,6,5,7]=>[2,3,1,4,6,5,7]=>010010 [1,3,6,2,4,7,5]=>[6,3,1,2,7,4,5]=>[3,4,2,6,7,1,5]=>010010 [1,3,6,2,5,4,7]=>[6,3,1,2,5,4,7]=>[3,4,2,6,5,1,7]=>010110 [1,3,6,2,5,7,4]=>[6,3,1,2,5,7,4]=>[3,4,2,7,5,1,6]=>010110 [1,3,6,2,7,4,5]=>[3,6,1,2,7,4,5]=>[3,4,1,6,7,2,5]=>010010 [1,3,6,2,7,5,4]=>[6,7,3,1,5,2,4]=>[4,6,3,7,5,1,2]=>010110 [1,3,6,4,2,5,7]=>[3,6,1,4,2,5,7]=>[3,5,1,4,6,2,7]=>010010 [1,3,6,4,2,7,5]=>[6,7,3,1,4,2,5]=>[4,6,3,5,7,1,2]=>010010 [1,3,6,4,5,2,7]=>[6,1,3,4,5,2,7]=>[2,6,3,4,5,1,7]=>010010 [1,3,6,4,5,7,2]=>[6,1,3,4,5,7,2]=>[2,7,3,4,5,1,6]=>010010 [1,3,6,4,7,2,5]=>[3,6,1,4,2,7,5]=>[3,5,1,4,7,2,6]=>010010 [1,3,6,4,7,5,2]=>[6,7,3,1,4,5,2]=>[4,7,3,5,6,1,2]=>010010 [1,3,6,5,2,4,7]=>[3,6,1,2,5,4,7]=>[3,4,1,6,5,2,7]=>010110 [1,3,6,5,2,7,4]=>[6,5,3,1,7,2,4]=>[4,6,3,7,2,1,5]=>010110 [1,3,6,5,4,2,7]=>[6,5,3,1,4,2,7]=>[4,6,3,5,2,1,7]=>010110 [1,3,6,5,4,7,2]=>[6,5,3,1,4,7,2]=>[4,7,3,5,2,1,6]=>010110 [1,3,6,5,7,2,4]=>[3,6,1,2,5,7,4]=>[3,4,1,7,5,2,6]=>010110 [1,3,6,5,7,4,2]=>[6,5,3,1,7,4,2]=>[4,7,3,6,2,1,5]=>010110 [1,3,6,7,2,4,5]=>[3,1,2,4,6,7,5]=>[2,3,1,4,7,5,6]=>010010 [1,3,6,7,2,5,4]=>[6,3,1,2,7,5,4]=>[3,4,2,7,6,1,5]=>010110 [1,3,6,7,4,2,5]=>[3,6,1,4,7,2,5]=>[3,6,1,4,7,2,5]=>010010 [1,3,6,7,4,5,2]=>[6,1,3,4,7,5,2]=>[2,7,3,4,6,1,5]=>010010 [1,3,6,7,5,2,4]=>[3,6,1,2,7,5,4]=>[3,4,1,7,6,2,5]=>010110 [1,3,6,7,5,4,2]=>[6,7,3,1,5,4,2]=>[4,7,3,6,5,1,2]=>010110 [1,3,7,2,4,5,6]=>[3,1,2,4,5,7,6]=>[2,3,1,4,5,7,6]=>010001 [1,3,7,2,4,6,5]=>[7,3,1,2,4,6,5]=>[3,4,2,5,7,6,1]=>010011 [1,3,7,2,5,4,6]=>[3,7,1,2,5,4,6]=>[3,4,1,6,5,7,2]=>010101 [1,3,7,2,5,6,4]=>[5,3,1,2,7,6,4]=>[3,4,2,7,1,6,5]=>010101 [1,3,7,2,6,4,5]=>[3,7,1,2,4,6,5]=>[3,4,1,5,7,6,2]=>010011 [1,3,7,2,6,5,4]=>[7,6,3,1,2,5,4]=>[4,5,3,7,6,2,1]=>010111 [1,3,7,4,2,5,6]=>[3,1,7,4,2,5,6]=>[2,5,1,4,6,7,3]=>010001 [1,3,7,4,2,6,5]=>[7,3,6,1,4,2,5]=>[4,6,2,5,7,3,1]=>010011 [1,3,7,4,5,2,6]=>[1,7,3,4,5,2,6]=>[1,6,3,4,5,7,2]=>010001 [1,3,7,4,5,6,2]=>[3,1,7,4,5,6,2]=>[2,7,1,4,5,6,3]=>010001 [1,3,7,4,6,2,5]=>[1,7,3,4,2,6,5]=>[1,5,3,4,7,6,2]=>010011 [1,3,7,4,6,5,2]=>[7,6,1,3,4,5,2]=>[3,7,4,5,6,2,1]=>010011 [1,3,7,5,2,4,6]=>[3,1,7,2,5,4,6]=>[2,4,1,6,5,7,3]=>010101 [1,3,7,5,2,6,4]=>[7,3,5,1,6,2,4]=>[4,6,2,7,3,5,1]=>010101 [1,3,7,5,4,2,6]=>[5,7,3,1,4,2,6]=>[4,6,3,5,1,7,2]=>010101 [1,3,7,5,4,6,2]=>[5,7,3,1,4,6,2]=>[4,7,3,5,1,6,2]=>010101 [1,3,7,5,6,2,4]=>[1,7,3,2,5,6,4]=>[1,4,3,7,5,6,2]=>010101 [1,3,7,5,6,4,2]=>[7,5,1,3,6,4,2]=>[3,7,4,6,2,5,1]=>010101 [1,3,7,6,2,4,5]=>[3,1,7,2,4,6,5]=>[2,4,1,5,7,6,3]=>010011 [1,3,7,6,2,5,4]=>[7,3,6,1,2,5,4]=>[4,5,2,7,6,3,1]=>010111 [1,3,7,6,4,2,5]=>[3,7,6,1,4,2,5]=>[4,6,1,5,7,3,2]=>010011 [1,3,7,6,4,5,2]=>[7,1,6,3,4,5,2]=>[2,7,4,5,6,3,1]=>010011 [1,3,7,6,5,2,4]=>[3,7,6,1,2,5,4]=>[4,5,1,7,6,3,2]=>010111 [1,3,7,6,5,4,2]=>[7,6,5,3,1,4,2]=>[5,7,4,6,3,2,1]=>010111 [1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]=>001000 [1,4,2,3,5,7,6]=>[7,1,4,2,3,5,6]=>[2,4,5,3,6,7,1]=>001001 [1,4,2,3,6,5,7]=>[6,1,4,2,3,5,7]=>[2,4,5,3,6,1,7]=>001010 [1,4,2,3,6,7,5]=>[6,1,4,2,3,7,5]=>[2,4,5,3,7,1,6]=>001010 [1,4,2,3,7,5,6]=>[1,7,4,2,3,5,6]=>[1,4,5,3,6,7,2]=>001001 [1,4,2,3,7,6,5]=>[7,6,1,4,2,3,5]=>[3,5,6,4,7,2,1]=>001011 [1,4,2,5,3,6,7]=>[4,5,1,2,3,6,7]=>[3,4,5,1,2,6,7]=>001000 [1,4,2,5,3,7,6]=>[7,4,5,1,2,3,6]=>[4,5,6,2,3,7,1]=>001001 [1,4,2,5,6,3,7]=>[4,5,1,2,6,3,7]=>[3,4,6,1,2,5,7]=>001000 [1,4,2,5,6,7,3]=>[4,5,1,2,6,7,3]=>[3,4,7,1,2,5,6]=>001000 [1,4,2,5,7,3,6]=>[4,5,1,2,3,7,6]=>[3,4,5,1,2,7,6]=>001001 [1,4,2,5,7,6,3]=>[7,4,5,1,2,6,3]=>[4,5,7,2,3,6,1]=>001001 [1,4,2,6,3,5,7]=>[4,1,6,2,3,5,7]=>[2,4,5,1,6,3,7]=>001010 [1,4,2,6,3,7,5]=>[6,4,7,1,2,3,5]=>[4,5,6,2,7,1,3]=>001010 [1,4,2,6,5,3,7]=>[6,4,5,1,2,3,7]=>[4,5,6,2,3,1,7]=>001010 [1,4,2,6,5,7,3]=>[6,4,5,1,2,7,3]=>[4,5,7,2,3,1,6]=>001010 [1,4,2,6,7,3,5]=>[4,1,6,2,3,7,5]=>[2,4,5,1,7,3,6]=>001010 [1,4,2,6,7,5,3]=>[6,4,7,1,2,5,3]=>[4,5,7,2,6,1,3]=>001010 [1,4,2,7,3,5,6]=>[4,1,2,7,3,5,6]=>[2,3,5,1,6,7,4]=>001001 [1,4,2,7,3,6,5]=>[7,4,1,6,2,3,5]=>[3,5,6,2,7,4,1]=>001011 [1,4,2,7,5,3,6]=>[4,7,5,1,2,3,6]=>[4,5,6,1,3,7,2]=>001001 [1,4,2,7,5,6,3]=>[4,7,5,1,2,6,3]=>[4,5,7,1,3,6,2]=>001001 [1,4,2,7,6,3,5]=>[4,7,1,6,2,3,5]=>[3,5,6,1,7,4,2]=>001011 [1,4,2,7,6,5,3]=>[7,6,4,5,1,2,3]=>[5,6,7,3,4,2,1]=>001011 [1,4,3,2,5,6,7]=>[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7]=>011000 [1,4,3,2,5,7,6]=>[7,4,3,1,2,5,6]=>[4,5,3,2,6,7,1]=>011001 [1,4,3,2,6,5,7]=>[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7]=>011010 [1,4,3,2,6,7,5]=>[6,4,3,1,2,7,5]=>[4,5,3,2,7,1,6]=>011010 [1,4,3,2,7,5,6]=>[4,7,3,1,2,5,6]=>[4,5,3,1,6,7,2]=>011001 [1,4,3,2,7,6,5]=>[7,6,4,3,1,2,5]=>[5,6,4,3,7,2,1]=>011011 [1,4,3,5,2,6,7]=>[4,3,1,5,2,6,7]=>[3,5,2,1,4,6,7]=>011000 [1,4,3,5,2,7,6]=>[7,4,3,1,5,2,6]=>[4,6,3,2,5,7,1]=>011001 [1,4,3,5,6,2,7]=>[4,3,1,5,6,2,7]=>[3,6,2,1,4,5,7]=>011000 [1,4,3,5,6,7,2]=>[4,3,1,5,6,7,2]=>[3,7,2,1,4,5,6]=>011000 [1,4,3,5,7,2,6]=>[4,3,1,5,2,7,6]=>[3,5,2,1,4,7,6]=>011001 [1,4,3,5,7,6,2]=>[7,4,3,1,5,6,2]=>[4,7,3,2,5,6,1]=>011001 [1,4,3,6,2,5,7]=>[4,3,1,2,6,5,7]=>[3,4,2,1,6,5,7]=>011010 [1,4,3,6,2,7,5]=>[6,4,3,1,7,2,5]=>[4,6,3,2,7,1,5]=>011010 [1,4,3,6,5,2,7]=>[6,4,3,1,5,2,7]=>[4,6,3,2,5,1,7]=>011010 [1,4,3,6,5,7,2]=>[6,4,3,1,5,7,2]=>[4,7,3,2,5,1,6]=>011010 [1,4,3,6,7,2,5]=>[4,3,1,2,6,7,5]=>[3,4,2,1,7,5,6]=>011010 [1,4,3,6,7,5,2]=>[6,4,3,1,7,5,2]=>[4,7,3,2,6,1,5]=>011010 [1,4,3,7,2,5,6]=>[4,3,1,2,5,7,6]=>[3,4,2,1,5,7,6]=>011001 [1,4,3,7,2,6,5]=>[7,4,3,1,2,6,5]=>[4,5,3,2,7,6,1]=>011011 [1,4,3,7,5,2,6]=>[4,7,3,1,5,2,6]=>[4,6,3,1,5,7,2]=>011001 [1,4,3,7,5,6,2]=>[4,7,3,1,5,6,2]=>[4,7,3,1,5,6,2]=>011001 [1,4,3,7,6,2,5]=>[4,7,3,1,2,6,5]=>[4,5,3,1,7,6,2]=>011011 [1,4,3,7,6,5,2]=>[7,6,4,3,1,5,2]=>[5,7,4,3,6,2,1]=>011011 [1,4,5,2,3,6,7]=>[1,4,2,5,3,6,7]=>[1,3,5,2,4,6,7]=>001000 [1,4,5,2,3,7,6]=>[7,1,4,2,5,3,6]=>[2,4,6,3,5,7,1]=>001001 [1,4,5,2,6,3,7]=>[4,5,1,6,2,3,7]=>[3,5,6,1,2,4,7]=>001000 [1,4,5,2,6,7,3]=>[4,5,1,6,2,7,3]=>[3,5,7,1,2,4,6]=>001000 [1,4,5,2,7,3,6]=>[4,5,1,2,7,3,6]=>[3,4,6,1,2,7,5]=>001001 [1,4,5,2,7,6,3]=>[7,4,5,1,6,2,3]=>[4,6,7,2,3,5,1]=>001001 [1,4,5,3,2,6,7]=>[4,5,1,3,2,6,7]=>[3,5,4,1,2,6,7]=>011000 [1,4,5,3,2,7,6]=>[7,4,5,1,3,2,6]=>[4,6,5,2,3,7,1]=>011001 [1,4,5,3,6,2,7]=>[4,5,1,3,6,2,7]=>[3,6,4,1,2,5,7]=>011000 [1,4,5,3,6,7,2]=>[4,5,1,3,6,7,2]=>[3,7,4,1,2,5,6]=>011000 [1,4,5,3,7,2,6]=>[4,5,1,3,2,7,6]=>[3,5,4,1,2,7,6]=>011001 [1,4,5,3,7,6,2]=>[7,4,5,1,3,6,2]=>[4,7,5,2,3,6,1]=>011001 [1,4,5,6,2,3,7]=>[1,4,2,5,6,3,7]=>[1,3,6,2,4,5,7]=>001000 [1,4,5,6,2,7,3]=>[4,5,1,6,7,2,3]=>[3,6,7,1,2,4,5]=>001000 [1,4,5,6,3,2,7]=>[4,5,1,6,3,2,7]=>[3,6,5,1,2,4,7]=>011000 [1,4,5,6,3,7,2]=>[4,5,1,6,3,7,2]=>[3,7,5,1,2,4,6]=>011000 [1,4,5,6,7,2,3]=>[1,4,2,5,6,7,3]=>[1,3,7,2,4,5,6]=>001000 [1,4,5,6,7,3,2]=>[4,5,1,6,7,3,2]=>[3,7,6,1,2,4,5]=>011000 [1,4,5,7,2,3,6]=>[1,4,2,5,3,7,6]=>[1,3,5,2,4,7,6]=>001001 [1,4,5,7,2,6,3]=>[4,5,1,7,2,6,3]=>[3,5,7,1,2,6,4]=>001001 [1,4,5,7,3,2,6]=>[4,5,1,3,7,2,6]=>[3,6,4,1,2,7,5]=>011001 [1,4,5,7,3,6,2]=>[4,5,1,3,7,6,2]=>[3,7,4,1,2,6,5]=>011001 [1,4,5,7,6,2,3]=>[1,7,4,2,5,6,3]=>[1,4,7,3,5,6,2]=>001001 [1,4,5,7,6,3,2]=>[7,4,5,1,6,3,2]=>[4,7,6,2,3,5,1]=>011001 [1,4,6,2,3,5,7]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7]=>001010 [1,4,6,2,3,7,5]=>[6,1,4,2,7,3,5]=>[2,4,6,3,7,1,5]=>001010 [1,4,6,2,5,3,7]=>[4,6,1,2,5,3,7]=>[3,4,6,1,5,2,7]=>001010 [1,4,6,2,5,7,3]=>[4,6,1,2,5,7,3]=>[3,4,7,1,5,2,6]=>001010 [1,4,6,2,7,3,5]=>[4,1,6,2,7,3,5]=>[2,4,6,1,7,3,5]=>001010 [1,4,6,2,7,5,3]=>[6,4,7,1,5,2,3]=>[4,6,7,2,5,1,3]=>001010 [1,4,6,3,2,5,7]=>[4,1,6,3,2,5,7]=>[2,5,4,1,6,3,7]=>011010 [1,4,6,3,2,7,5]=>[6,4,7,1,3,2,5]=>[4,6,5,2,7,1,3]=>011010 [1,4,6,3,5,2,7]=>[4,3,1,6,5,2,7]=>[3,6,2,1,5,4,7]=>011010 [1,4,6,3,5,7,2]=>[4,3,1,6,5,7,2]=>[3,7,2,1,5,4,6]=>011010 [1,4,6,3,7,2,5]=>[4,1,6,3,2,7,5]=>[2,5,4,1,7,3,6]=>011010 [1,4,6,3,7,5,2]=>[6,4,7,1,3,5,2]=>[4,7,5,2,6,1,3]=>011010 [1,4,6,5,2,3,7]=>[1,6,4,2,5,3,7]=>[1,4,6,3,5,2,7]=>001010 [1,4,6,5,2,7,3]=>[6,4,5,1,7,2,3]=>[4,6,7,2,3,1,5]=>001010 [1,4,6,5,3,2,7]=>[6,4,5,1,3,2,7]=>[4,6,5,2,3,1,7]=>011010 [1,4,6,5,3,7,2]=>[6,4,5,1,3,7,2]=>[4,7,5,2,3,1,6]=>011010 [1,4,6,5,7,2,3]=>[1,6,4,2,5,7,3]=>[1,4,7,3,5,2,6]=>001010 [1,4,6,5,7,3,2]=>[6,4,5,1,7,3,2]=>[4,7,6,2,3,1,5]=>011010 [1,4,6,7,2,3,5]=>[1,4,2,3,6,7,5]=>[1,3,4,2,7,5,6]=>001010 [1,4,6,7,2,5,3]=>[4,6,1,2,7,5,3]=>[3,4,7,1,6,2,5]=>001010 [1,4,6,7,3,2,5]=>[4,1,6,3,7,2,5]=>[2,6,4,1,7,3,5]=>011010 [1,4,6,7,3,5,2]=>[4,3,1,6,7,5,2]=>[3,7,2,1,6,4,5]=>011010 [1,4,6,7,5,2,3]=>[1,6,4,2,7,5,3]=>[1,4,7,3,6,2,5]=>001010 [1,4,6,7,5,3,2]=>[6,4,7,1,5,3,2]=>[4,7,6,2,5,1,3]=>011010 [1,4,7,2,3,5,6]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6]=>001001 [1,4,7,2,3,6,5]=>[7,1,4,2,3,6,5]=>[2,4,5,3,7,6,1]=>001011 [1,4,7,2,5,3,6]=>[4,1,7,2,5,3,6]=>[2,4,6,1,5,7,3]=>001001 [1,4,7,2,5,6,3]=>[4,5,1,2,7,6,3]=>[3,4,7,1,2,6,5]=>001001 [1,4,7,2,6,3,5]=>[4,1,7,2,3,6,5]=>[2,4,5,1,7,6,3]=>001011 [1,4,7,2,6,5,3]=>[7,4,6,1,2,5,3]=>[4,5,7,2,6,3,1]=>001011 [1,4,7,3,2,5,6]=>[4,1,3,7,2,5,6]=>[2,5,3,1,6,7,4]=>011001 [1,4,7,3,2,6,5]=>[7,4,1,6,3,2,5]=>[3,6,5,2,7,4,1]=>011011 [1,4,7,3,5,2,6]=>[4,3,1,5,7,2,6]=>[3,6,2,1,4,7,5]=>011001 [1,4,7,3,5,6,2]=>[4,3,1,5,7,6,2]=>[3,7,2,1,4,6,5]=>011001 [1,4,7,3,6,2,5]=>[4,3,1,2,7,6,5]=>[3,4,2,1,7,6,5]=>011011 [1,4,7,3,6,5,2]=>[7,4,3,1,6,5,2]=>[4,7,3,2,6,5,1]=>011011 [1,4,7,5,2,3,6]=>[1,4,7,2,5,3,6]=>[1,4,6,2,5,7,3]=>001001 [1,4,7,5,2,6,3]=>[4,7,5,1,6,2,3]=>[4,6,7,1,3,5,2]=>001001 [1,4,7,5,3,2,6]=>[4,7,5,1,3,2,6]=>[4,6,5,1,3,7,2]=>011001 [1,4,7,5,3,6,2]=>[4,7,5,1,3,6,2]=>[4,7,5,1,3,6,2]=>011001 [1,4,7,5,6,2,3]=>[1,7,2,4,5,6,3]=>[1,3,7,4,5,6,2]=>001001 [1,4,7,5,6,3,2]=>[7,4,1,5,6,3,2]=>[3,7,6,2,4,5,1]=>011001 [1,4,7,6,2,3,5]=>[1,4,7,2,3,6,5]=>[1,4,5,2,7,6,3]=>001011 [1,4,7,6,2,5,3]=>[4,7,6,1,2,5,3]=>[4,5,7,1,6,3,2]=>001011 [1,4,7,6,3,2,5]=>[4,7,1,6,3,2,5]=>[3,6,5,1,7,4,2]=>011011 [1,4,7,6,3,5,2]=>[4,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>011011 [1,4,7,6,5,2,3]=>[1,7,6,4,2,5,3]=>[1,5,7,4,6,3,2]=>001011 [1,4,7,6,5,3,2]=>[7,6,4,5,1,3,2]=>[5,7,6,3,4,2,1]=>011011 [1,5,2,3,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]=>000100 [1,5,2,3,4,7,6]=>[7,1,2,5,3,4,6]=>[2,3,5,6,4,7,1]=>000101 [1,5,2,3,6,4,7]=>[5,1,6,2,3,4,7]=>[2,4,5,6,1,3,7]=>000100 [1,5,2,3,6,7,4]=>[5,1,6,2,3,7,4]=>[2,4,5,7,1,3,6]=>000100 [1,5,2,3,7,4,6]=>[5,1,2,7,3,4,6]=>[2,3,5,6,1,7,4]=>000101 [1,5,2,3,7,6,4]=>[7,5,1,6,2,3,4]=>[3,5,6,7,2,4,1]=>000101 [1,5,2,4,3,6,7]=>[5,1,4,2,3,6,7]=>[2,4,5,3,1,6,7]=>001100 [1,5,2,4,3,7,6]=>[7,5,1,4,2,3,6]=>[3,5,6,4,2,7,1]=>001101 [1,5,2,4,6,3,7]=>[5,1,4,2,6,3,7]=>[2,4,6,3,1,5,7]=>001100 [1,5,2,4,6,7,3]=>[5,1,4,2,6,7,3]=>[2,4,7,3,1,5,6]=>001100 [1,5,2,4,7,3,6]=>[5,1,4,2,3,7,6]=>[2,4,5,3,1,7,6]=>001101 [1,5,2,4,7,6,3]=>[7,5,1,4,2,6,3]=>[3,5,7,4,2,6,1]=>001101 [1,5,2,6,3,4,7]=>[1,5,6,2,3,4,7]=>[1,4,5,6,2,3,7]=>000100 [1,5,2,6,3,7,4]=>[5,6,7,1,2,3,4]=>[4,5,6,7,1,2,3]=>000100 [1,5,2,6,4,3,7]=>[5,6,4,1,2,3,7]=>[4,5,6,3,1,2,7]=>001100 [1,5,2,6,4,7,3]=>[5,6,4,1,2,7,3]=>[4,5,7,3,1,2,6]=>001100 [1,5,2,6,7,3,4]=>[1,5,6,2,3,7,4]=>[1,4,5,7,2,3,6]=>000100 [1,5,2,6,7,4,3]=>[5,6,7,1,2,4,3]=>[4,5,7,6,1,2,3]=>001100 [1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[1,3,5,6,2,7,4]=>000101 [1,5,2,7,3,6,4]=>[5,7,1,6,2,3,4]=>[3,5,6,7,1,4,2]=>000101 [1,5,2,7,4,3,6]=>[5,4,7,1,2,3,6]=>[4,5,6,2,1,7,3]=>001101 [1,5,2,7,4,6,3]=>[5,7,1,4,2,6,3]=>[3,5,7,4,1,6,2]=>001101 [1,5,2,7,6,3,4]=>[1,7,5,6,2,3,4]=>[1,5,6,7,3,4,2]=>000101 [1,5,2,7,6,4,3]=>[7,5,6,4,1,2,3]=>[5,6,7,4,2,3,1]=>001101 [1,5,3,2,4,6,7]=>[3,5,1,2,4,6,7]=>[3,4,1,5,2,6,7]=>010100 [1,5,3,2,4,7,6]=>[7,3,5,1,2,4,6]=>[4,5,2,6,3,7,1]=>010101 [1,5,3,2,6,4,7]=>[5,6,3,1,2,4,7]=>[4,5,3,6,1,2,7]=>010100 [1,5,3,2,6,7,4]=>[5,6,3,1,2,7,4]=>[4,5,3,7,1,2,6]=>010100 [1,5,3,2,7,4,6]=>[5,3,7,1,2,4,6]=>[4,5,2,6,1,7,3]=>010101 [1,5,3,2,7,6,4]=>[7,5,6,3,1,2,4]=>[5,6,4,7,2,3,1]=>010101 [1,5,3,4,2,6,7]=>[5,1,3,4,2,6,7]=>[2,5,3,4,1,6,7]=>010100 [1,5,3,4,2,7,6]=>[7,5,1,3,4,2,6]=>[3,6,4,5,2,7,1]=>010101 [1,5,3,4,6,2,7]=>[5,1,3,4,6,2,7]=>[2,6,3,4,1,5,7]=>010100 [1,5,3,4,6,7,2]=>[5,1,3,4,6,7,2]=>[2,7,3,4,1,5,6]=>010100 [1,5,3,4,7,2,6]=>[5,1,3,4,2,7,6]=>[2,5,3,4,1,7,6]=>010101 [1,5,3,4,7,6,2]=>[7,5,1,3,4,6,2]=>[3,7,4,5,2,6,1]=>010101 [1,5,3,6,2,4,7]=>[3,5,1,2,6,4,7]=>[3,4,1,6,2,5,7]=>010100 [1,5,3,6,2,7,4]=>[5,6,3,1,7,2,4]=>[4,6,3,7,1,2,5]=>010100 [1,5,3,6,4,2,7]=>[5,6,3,1,4,2,7]=>[4,6,3,5,1,2,7]=>010100 [1,5,3,6,4,7,2]=>[5,6,3,1,4,7,2]=>[4,7,3,5,1,2,6]=>010100 [1,5,3,6,7,2,4]=>[3,5,1,2,6,7,4]=>[3,4,1,7,2,5,6]=>010100 [1,5,3,6,7,4,2]=>[5,6,3,1,7,4,2]=>[4,7,3,6,1,2,5]=>010100 [1,5,3,7,2,4,6]=>[3,5,1,2,4,7,6]=>[3,4,1,5,2,7,6]=>010101 [1,5,3,7,2,6,4]=>[5,7,3,1,2,6,4]=>[4,5,3,7,1,6,2]=>010101 [1,5,3,7,4,2,6]=>[5,3,7,1,4,2,6]=>[4,6,2,5,1,7,3]=>010101 [1,5,3,7,4,6,2]=>[5,7,1,3,4,6,2]=>[3,7,4,5,1,6,2]=>010101 [1,5,3,7,6,2,4]=>[3,7,5,1,2,6,4]=>[4,5,1,7,3,6,2]=>010101 [1,5,3,7,6,4,2]=>[7,5,6,3,1,4,2]=>[5,7,4,6,2,3,1]=>010101 [1,5,4,2,3,6,7]=>[1,5,4,2,3,6,7]=>[1,4,5,3,2,6,7]=>001100 [1,5,4,2,3,7,6]=>[7,1,5,4,2,3,6]=>[2,5,6,4,3,7,1]=>001101 [1,5,4,2,6,3,7]=>[5,4,6,1,2,3,7]=>[4,5,6,2,1,3,7]=>001100 [1,5,4,2,6,7,3]=>[5,4,6,1,2,7,3]=>[4,5,7,2,1,3,6]=>001100 [1,5,4,2,7,3,6]=>[5,4,1,7,2,3,6]=>[3,5,6,2,1,7,4]=>001101 [1,5,4,2,7,6,3]=>[7,5,4,6,1,2,3]=>[5,6,7,3,2,4,1]=>001101 [1,5,4,3,2,6,7]=>[5,4,3,1,2,6,7]=>[4,5,3,2,1,6,7]=>011100 [1,5,4,3,2,7,6]=>[7,5,4,3,1,2,6]=>[5,6,4,3,2,7,1]=>011101 [1,5,4,3,6,2,7]=>[5,4,3,1,6,2,7]=>[4,6,3,2,1,5,7]=>011100 [1,5,4,3,6,7,2]=>[5,4,3,1,6,7,2]=>[4,7,3,2,1,5,6]=>011100 [1,5,4,3,7,2,6]=>[5,4,3,1,2,7,6]=>[4,5,3,2,1,7,6]=>011101 [1,5,4,3,7,6,2]=>[7,5,4,3,1,6,2]=>[5,7,4,3,2,6,1]=>011101 [1,5,4,6,2,3,7]=>[1,5,4,2,6,3,7]=>[1,4,6,3,2,5,7]=>001100 [1,5,4,6,2,7,3]=>[5,4,6,1,7,2,3]=>[4,6,7,2,1,3,5]=>001100 [1,5,4,6,3,2,7]=>[5,4,6,1,3,2,7]=>[4,6,5,2,1,3,7]=>011100 [1,5,4,6,3,7,2]=>[5,4,6,1,3,7,2]=>[4,7,5,2,1,3,6]=>011100 [1,5,4,6,7,2,3]=>[1,5,4,2,6,7,3]=>[1,4,7,3,2,5,6]=>001100 [1,5,4,6,7,3,2]=>[5,4,6,1,7,3,2]=>[4,7,6,2,1,3,5]=>011100 [1,5,4,7,2,3,6]=>[1,5,4,2,3,7,6]=>[1,4,5,3,2,7,6]=>001101 [1,5,4,7,2,6,3]=>[5,4,7,1,2,6,3]=>[4,5,7,2,1,6,3]=>001101 [1,5,4,7,3,2,6]=>[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4]=>011101 [1,5,4,7,3,6,2]=>[5,4,3,1,7,6,2]=>[4,7,3,2,1,6,5]=>011101 [1,5,4,7,6,2,3]=>[1,7,5,4,2,6,3]=>[1,5,7,4,3,6,2]=>001101 [1,5,4,7,6,3,2]=>[7,5,4,6,1,3,2]=>[5,7,6,3,2,4,1]=>011101 [1,5,6,2,3,4,7]=>[1,2,5,3,6,4,7]=>[1,2,4,6,3,5,7]=>000100 [1,5,6,2,3,7,4]=>[5,1,6,2,7,3,4]=>[2,4,6,7,1,3,5]=>000100 [1,5,6,2,4,3,7]=>[5,1,6,2,4,3,7]=>[2,4,6,5,1,3,7]=>001100 [1,5,6,2,4,7,3]=>[5,1,6,2,4,7,3]=>[2,4,7,5,1,3,6]=>001100 [1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[1,4,6,7,2,3,5]=>000100 [1,5,6,2,7,4,3]=>[5,6,7,1,4,2,3]=>[4,6,7,5,1,2,3]=>001100 [1,5,6,3,2,4,7]=>[1,5,6,3,2,4,7]=>[1,5,4,6,2,3,7]=>010100 [1,5,6,3,2,7,4]=>[5,6,7,1,3,2,4]=>[4,6,5,7,1,2,3]=>010100 [1,5,6,3,4,2,7]=>[5,1,3,6,4,2,7]=>[2,6,3,5,1,4,7]=>010100 [1,5,6,3,4,7,2]=>[5,1,3,6,4,7,2]=>[2,7,3,5,1,4,6]=>010100 [1,5,6,3,7,2,4]=>[1,5,6,3,2,7,4]=>[1,5,4,7,2,3,6]=>010100 [1,5,6,3,7,4,2]=>[5,6,7,1,3,4,2]=>[4,7,5,6,1,2,3]=>010100 [1,5,6,4,2,3,7]=>[1,5,6,2,4,3,7]=>[1,4,6,5,2,3,7]=>001100 [1,5,6,4,2,7,3]=>[5,6,4,1,7,2,3]=>[4,6,7,3,1,2,5]=>001100 [1,5,6,4,3,2,7]=>[5,6,4,1,3,2,7]=>[4,6,5,3,1,2,7]=>011100 [1,5,6,4,3,7,2]=>[5,6,4,1,3,7,2]=>[4,7,5,3,1,2,6]=>011100 [1,5,6,4,7,2,3]=>[1,5,6,2,4,7,3]=>[1,4,7,5,2,3,6]=>001100 [1,5,6,4,7,3,2]=>[5,6,4,1,7,3,2]=>[4,7,6,3,1,2,5]=>011100 [1,5,6,7,2,3,4]=>[1,2,5,3,6,7,4]=>[1,2,4,7,3,5,6]=>000100 [1,5,6,7,2,4,3]=>[5,1,6,2,7,4,3]=>[2,4,7,6,1,3,5]=>001100 [1,5,6,7,3,2,4]=>[1,5,6,3,7,2,4]=>[1,6,4,7,2,3,5]=>010100 [1,5,6,7,3,4,2]=>[5,1,3,6,7,4,2]=>[2,7,3,6,1,4,5]=>010100 [1,5,6,7,4,2,3]=>[1,5,6,2,7,4,3]=>[1,4,7,6,2,3,5]=>001100 [1,5,6,7,4,3,2]=>[5,6,7,1,4,3,2]=>[4,7,6,5,1,2,3]=>011100 [1,5,7,2,3,4,6]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6]=>000101 [1,5,7,2,3,6,4]=>[5,1,7,2,3,6,4]=>[2,4,5,7,1,6,3]=>000101 [1,5,7,2,4,3,6]=>[5,1,2,7,4,3,6]=>[2,3,6,5,1,7,4]=>001101 [1,5,7,2,4,6,3]=>[5,1,4,2,7,6,3]=>[2,4,7,3,1,6,5]=>001101 [1,5,7,2,6,3,4]=>[1,5,7,2,3,6,4]=>[1,4,5,7,2,6,3]=>000101 [1,5,7,2,6,4,3]=>[5,7,6,1,2,4,3]=>[4,5,7,6,1,3,2]=>001101 [1,5,7,3,2,4,6]=>[1,5,3,7,2,4,6]=>[1,5,3,6,2,7,4]=>010101 [1,5,7,3,2,6,4]=>[5,7,1,6,3,2,4]=>[3,6,5,7,1,4,2]=>010101 [1,5,7,3,4,2,6]=>[5,1,3,4,7,2,6]=>[2,6,3,4,1,7,5]=>010101 [1,5,7,3,4,6,2]=>[5,1,3,4,7,6,2]=>[2,7,3,4,1,6,5]=>010101 [1,5,7,3,6,2,4]=>[3,5,1,2,7,6,4]=>[3,4,1,7,2,6,5]=>010101 [1,5,7,3,6,4,2]=>[5,7,3,1,6,4,2]=>[4,7,3,6,1,5,2]=>010101 [1,5,7,4,2,3,6]=>[1,5,2,7,4,3,6]=>[1,3,6,5,2,7,4]=>001101 [1,5,7,4,2,6,3]=>[5,7,1,4,6,2,3]=>[3,6,7,4,1,5,2]=>001101 [1,5,7,4,3,2,6]=>[5,4,7,1,3,2,6]=>[4,6,5,2,1,7,3]=>011101 [1,5,7,4,3,6,2]=>[5,7,1,4,3,6,2]=>[3,7,5,4,1,6,2]=>011101 [1,5,7,4,6,2,3]=>[1,5,4,2,7,6,3]=>[1,4,7,3,2,6,5]=>001101 [1,5,7,4,6,3,2]=>[5,4,7,1,6,3,2]=>[4,7,6,2,1,5,3]=>011101 [1,5,7,6,2,3,4]=>[1,2,7,5,3,6,4]=>[1,2,5,7,4,6,3]=>000101 [1,5,7,6,2,4,3]=>[7,1,5,6,2,4,3]=>[2,5,7,6,3,4,1]=>001101 [1,5,7,6,3,2,4]=>[1,7,5,6,3,2,4]=>[1,6,5,7,3,4,2]=>010101 [1,5,7,6,3,4,2]=>[7,1,5,3,6,4,2]=>[2,7,4,6,3,5,1]=>010101 [1,5,7,6,4,2,3]=>[1,7,5,6,2,4,3]=>[1,5,7,6,3,4,2]=>001101 [1,5,7,6,4,3,2]=>[7,5,6,4,1,3,2]=>[5,7,6,4,2,3,1]=>011101 [1,6,2,3,4,5,7]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7]=>000010 [1,6,2,3,4,7,5]=>[6,1,2,7,3,4,5]=>[2,3,5,6,7,1,4]=>000010 [1,6,2,3,5,4,7]=>[6,1,2,5,3,4,7]=>[2,3,5,6,4,1,7]=>000110 [1,6,2,3,5,7,4]=>[6,1,2,5,3,7,4]=>[2,3,5,7,4,1,6]=>000110 [1,6,2,3,7,4,5]=>[1,6,2,7,3,4,5]=>[1,3,5,6,7,2,4]=>000010 [1,6,2,3,7,5,4]=>[6,7,1,5,2,3,4]=>[3,5,6,7,4,1,2]=>000110 [1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7]=>[1,4,5,3,6,2,7]=>001010 [1,6,2,4,3,7,5]=>[6,7,1,4,2,3,5]=>[3,5,6,4,7,1,2]=>001010 [1,6,2,4,5,3,7]=>[6,1,2,4,5,3,7]=>[2,3,6,4,5,1,7]=>001010 [1,6,2,4,5,7,3]=>[6,1,2,4,5,7,3]=>[2,3,7,4,5,1,6]=>001010 [1,6,2,4,7,3,5]=>[1,6,4,2,3,7,5]=>[1,4,5,3,7,2,6]=>001010 [1,6,2,4,7,5,3]=>[6,7,1,4,2,5,3]=>[3,5,7,4,6,1,2]=>001010 [1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>[1,3,5,6,4,2,7]=>000110 [1,6,2,5,3,7,4]=>[6,5,1,7,2,3,4]=>[3,5,6,7,2,1,4]=>000110 [1,6,2,5,4,3,7]=>[6,5,1,4,2,3,7]=>[3,5,6,4,2,1,7]=>001110 [1,6,2,5,4,7,3]=>[6,5,1,4,2,7,3]=>[3,5,7,4,2,1,6]=>001110 [1,6,2,5,7,3,4]=>[1,6,2,5,3,7,4]=>[1,3,5,7,4,2,6]=>000110 [1,6,2,5,7,4,3]=>[6,5,1,7,2,4,3]=>[3,5,7,6,2,1,4]=>001110 [1,6,2,7,3,4,5]=>[1,2,6,7,3,4,5]=>[1,2,5,6,7,3,4]=>000010 [1,6,2,7,3,5,4]=>[6,1,7,5,2,3,4]=>[2,5,6,7,4,1,3]=>000110 [1,6,2,7,4,3,5]=>[4,6,7,1,2,3,5]=>[4,5,6,1,7,2,3]=>001010 [1,6,2,7,4,5,3]=>[6,1,7,4,2,5,3]=>[2,5,7,4,6,1,3]=>001010 [1,6,2,7,5,3,4]=>[1,6,7,5,2,3,4]=>[1,5,6,7,4,2,3]=>000110 [1,6,2,7,5,4,3]=>[6,7,5,4,1,2,3]=>[5,6,7,4,3,1,2]=>001110 [1,6,3,2,4,5,7]=>[3,1,6,2,4,5,7]=>[2,4,1,5,6,3,7]=>010010 [1,6,3,2,4,7,5]=>[6,3,7,1,2,4,5]=>[4,5,2,6,7,1,3]=>010010 [1,6,3,2,5,4,7]=>[6,3,5,1,2,4,7]=>[4,5,2,6,3,1,7]=>010110 [1,6,3,2,5,7,4]=>[6,3,5,1,2,7,4]=>[4,5,2,7,3,1,6]=>010110 [1,6,3,2,7,4,5]=>[3,6,7,1,2,4,5]=>[4,5,1,6,7,2,3]=>010010 [1,6,3,2,7,5,4]=>[6,7,5,3,1,2,4]=>[5,6,4,7,3,1,2]=>010110 [1,6,3,4,2,5,7]=>[1,6,3,4,2,5,7]=>[1,5,3,4,6,2,7]=>010010 [1,6,3,4,2,7,5]=>[6,7,1,3,4,2,5]=>[3,6,4,5,7,1,2]=>010010 [1,6,3,4,5,2,7]=>[3,1,6,4,5,2,7]=>[2,6,1,4,5,3,7]=>010010 [1,6,3,4,5,7,2]=>[3,1,6,4,5,7,2]=>[2,7,1,4,5,3,6]=>010010 [1,6,3,4,7,2,5]=>[1,6,3,4,2,7,5]=>[1,5,3,4,7,2,6]=>010010 [1,6,3,4,7,5,2]=>[6,7,1,3,4,5,2]=>[3,7,4,5,6,1,2]=>010010 [1,6,3,5,2,4,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]=>010110 [1,6,3,5,2,7,4]=>[6,5,1,3,7,2,4]=>[3,6,4,7,2,1,5]=>010110 [1,6,3,5,4,2,7]=>[6,5,1,3,4,2,7]=>[3,6,4,5,2,1,7]=>010110 [1,6,3,5,4,7,2]=>[6,5,1,3,4,7,2]=>[3,7,4,5,2,1,6]=>010110 [1,6,3,5,7,2,4]=>[1,6,3,2,5,7,4]=>[1,4,3,7,5,2,6]=>010110 [1,6,3,5,7,4,2]=>[6,5,1,3,7,4,2]=>[3,7,4,6,2,1,5]=>010110 [1,6,3,7,2,4,5]=>[3,1,6,2,4,7,5]=>[2,4,1,5,7,3,6]=>010010 [1,6,3,7,2,5,4]=>[6,3,7,1,2,5,4]=>[4,5,2,7,6,1,3]=>010110 [1,6,3,7,4,2,5]=>[3,6,7,1,4,2,5]=>[4,6,1,5,7,2,3]=>010010 [1,6,3,7,4,5,2]=>[6,1,7,3,4,5,2]=>[2,7,4,5,6,1,3]=>010010 [1,6,3,7,5,2,4]=>[3,6,7,1,2,5,4]=>[4,5,1,7,6,2,3]=>010110 [1,6,3,7,5,4,2]=>[6,7,5,3,1,4,2]=>[5,7,4,6,3,1,2]=>010110 [1,6,4,2,3,5,7]=>[1,4,6,2,3,5,7]=>[1,4,5,2,6,3,7]=>001010 [1,6,4,2,3,7,5]=>[6,1,7,4,2,3,5]=>[2,5,6,4,7,1,3]=>001010 [1,6,4,2,5,3,7]=>[4,6,5,1,2,3,7]=>[4,5,6,1,3,2,7]=>001010 [1,6,4,2,5,7,3]=>[4,6,5,1,2,7,3]=>[4,5,7,1,3,2,6]=>001010 [1,6,4,2,7,3,5]=>[4,6,1,7,2,3,5]=>[3,5,6,1,7,2,4]=>001010 [1,6,4,2,7,5,3]=>[6,7,4,5,1,2,3]=>[5,6,7,3,4,1,2]=>001010 [1,6,4,3,2,5,7]=>[4,6,3,1,2,5,7]=>[4,5,3,1,6,2,7]=>011010 [1,6,4,3,2,7,5]=>[6,7,4,3,1,2,5]=>[5,6,4,3,7,1,2]=>011010 [1,6,4,3,5,2,7]=>[4,6,3,1,5,2,7]=>[4,6,3,1,5,2,7]=>011010 [1,6,4,3,5,7,2]=>[4,6,3,1,5,7,2]=>[4,7,3,1,5,2,6]=>011010 [1,6,4,3,7,2,5]=>[4,6,3,1,2,7,5]=>[4,5,3,1,7,2,6]=>011010 [1,6,4,3,7,5,2]=>[6,7,4,3,1,5,2]=>[5,7,4,3,6,1,2]=>011010 [1,6,4,5,2,3,7]=>[1,6,2,4,5,3,7]=>[1,3,6,4,5,2,7]=>001010 [1,6,4,5,2,7,3]=>[6,4,1,5,7,2,3]=>[3,6,7,2,4,1,5]=>001010 [1,6,4,5,3,2,7]=>[6,4,1,5,3,2,7]=>[3,6,5,2,4,1,7]=>011010 [1,6,4,5,3,7,2]=>[6,4,1,5,3,7,2]=>[3,7,5,2,4,1,6]=>011010 [1,6,4,5,7,2,3]=>[1,6,2,4,5,7,3]=>[1,3,7,4,5,2,6]=>001010 [1,6,4,5,7,3,2]=>[6,4,1,5,7,3,2]=>[3,7,6,2,4,1,5]=>011010 [1,6,4,7,2,3,5]=>[1,4,6,2,3,7,5]=>[1,4,5,2,7,3,6]=>001010 [1,6,4,7,2,5,3]=>[4,6,7,1,2,5,3]=>[4,5,7,1,6,2,3]=>001010 [1,6,4,7,3,2,5]=>[4,6,1,7,3,2,5]=>[3,6,5,1,7,2,4]=>011010 [1,6,4,7,3,5,2]=>[4,6,3,1,7,5,2]=>[4,7,3,1,6,2,5]=>011010 [1,6,4,7,5,2,3]=>[1,6,7,4,2,5,3]=>[1,5,7,4,6,2,3]=>001010 [1,6,4,7,5,3,2]=>[6,7,4,5,1,3,2]=>[5,7,6,3,4,1,2]=>011010 [1,6,5,2,3,4,7]=>[1,2,6,5,3,4,7]=>[1,2,5,6,4,3,7]=>000110 [1,6,5,2,3,7,4]=>[6,1,5,7,2,3,4]=>[2,5,6,7,3,1,4]=>000110 [1,6,5,2,4,3,7]=>[6,1,5,4,2,3,7]=>[2,5,6,4,3,1,7]=>001110 [1,6,5,2,4,7,3]=>[6,1,5,4,2,7,3]=>[2,5,7,4,3,1,6]=>001110 [1,6,5,2,7,3,4]=>[1,6,5,7,2,3,4]=>[1,5,6,7,3,2,4]=>000110 [1,6,5,2,7,4,3]=>[6,5,7,4,1,2,3]=>[5,6,7,4,2,1,3]=>001110 [1,6,5,3,2,4,7]=>[3,6,5,1,2,4,7]=>[4,5,1,6,3,2,7]=>010110 [1,6,5,3,2,7,4]=>[6,5,7,3,1,2,4]=>[5,6,4,7,2,1,3]=>010110 [1,6,5,3,4,2,7]=>[6,1,5,3,4,2,7]=>[2,6,4,5,3,1,7]=>010110 [1,6,5,3,4,7,2]=>[6,1,5,3,4,7,2]=>[2,7,4,5,3,1,6]=>010110 [1,6,5,3,7,2,4]=>[3,6,5,1,2,7,4]=>[4,5,1,7,3,2,6]=>010110 [1,6,5,3,7,4,2]=>[6,5,7,3,1,4,2]=>[5,7,4,6,2,1,3]=>010110 [1,6,5,4,2,3,7]=>[1,6,5,4,2,3,7]=>[1,5,6,4,3,2,7]=>001110 [1,6,5,4,2,7,3]=>[6,5,4,7,1,2,3]=>[5,6,7,3,2,1,4]=>001110 [1,6,5,4,3,2,7]=>[6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7]=>011110 [1,6,5,4,3,7,2]=>[6,5,4,3,1,7,2]=>[5,7,4,3,2,1,6]=>011110 [1,6,5,4,7,2,3]=>[1,6,5,4,2,7,3]=>[1,5,7,4,3,2,6]=>001110 [1,6,5,4,7,3,2]=>[6,5,4,7,1,3,2]=>[5,7,6,3,2,1,4]=>011110 [1,6,5,7,2,3,4]=>[1,2,6,5,3,7,4]=>[1,2,5,7,4,3,6]=>000110 [1,6,5,7,2,4,3]=>[6,1,5,7,2,4,3]=>[2,5,7,6,3,1,4]=>001110 [1,6,5,7,3,2,4]=>[1,6,5,7,3,2,4]=>[1,6,5,7,3,2,4]=>010110 [1,6,5,7,3,4,2]=>[6,1,5,3,7,4,2]=>[2,7,4,6,3,1,5]=>010110 [1,6,5,7,4,2,3]=>[1,6,5,7,2,4,3]=>[1,5,7,6,3,2,4]=>001110 [1,6,5,7,4,3,2]=>[6,5,7,4,1,3,2]=>[5,7,6,4,2,1,3]=>011110 [1,6,7,2,3,4,5]=>[1,2,3,6,4,7,5]=>[1,2,3,5,7,4,6]=>000010 [1,6,7,2,3,5,4]=>[6,1,2,7,3,5,4]=>[2,3,5,7,6,1,4]=>000110 [1,6,7,2,4,3,5]=>[1,6,2,7,4,3,5]=>[1,3,6,5,7,2,4]=>001010 [1,6,7,2,4,5,3]=>[6,1,2,4,7,5,3]=>[2,3,7,4,6,1,5]=>001010 [1,6,7,2,5,3,4]=>[1,6,2,7,3,5,4]=>[1,3,5,7,6,2,4]=>000110 [1,6,7,2,5,4,3]=>[6,7,1,5,2,4,3]=>[3,5,7,6,4,1,2]=>001110 [1,6,7,3,2,4,5]=>[1,3,6,7,2,4,5]=>[1,5,2,6,7,3,4]=>010010 [1,6,7,3,2,5,4]=>[6,1,7,5,3,2,4]=>[2,6,5,7,4,1,3]=>010110 [1,6,7,3,4,2,5]=>[1,6,3,4,7,2,5]=>[1,6,3,4,7,2,5]=>010010 [1,6,7,3,4,5,2]=>[3,1,6,4,7,5,2]=>[2,7,1,4,6,3,5]=>010010 [1,6,7,3,5,2,4]=>[1,6,3,2,7,5,4]=>[1,4,3,7,6,2,5]=>010110 [1,6,7,3,5,4,2]=>[6,7,1,3,5,4,2]=>[3,7,4,6,5,1,2]=>010110 [1,6,7,4,2,3,5]=>[1,2,6,7,4,3,5]=>[1,2,6,5,7,3,4]=>001010 [1,6,7,4,2,5,3]=>[6,1,7,4,5,2,3]=>[2,6,7,4,5,1,3]=>001010 [1,6,7,4,3,2,5]=>[4,6,7,1,3,2,5]=>[4,6,5,1,7,2,3]=>011010 [1,6,7,4,3,5,2]=>[6,1,7,4,3,5,2]=>[2,7,5,4,6,1,3]=>011010 [1,6,7,4,5,2,3]=>[1,6,2,4,7,5,3]=>[1,3,7,4,6,2,5]=>001010 [1,6,7,4,5,3,2]=>[6,4,1,7,5,3,2]=>[3,7,6,2,5,1,4]=>011010 [1,6,7,5,2,3,4]=>[1,2,6,7,3,5,4]=>[1,2,5,7,6,3,4]=>000110 [1,6,7,5,2,4,3]=>[6,1,7,5,2,4,3]=>[2,5,7,6,4,1,3]=>001110 [1,6,7,5,3,2,4]=>[1,6,7,5,3,2,4]=>[1,6,5,7,4,2,3]=>010110 [1,6,7,5,3,4,2]=>[6,1,7,3,5,4,2]=>[2,7,4,6,5,1,3]=>010110 [1,6,7,5,4,2,3]=>[1,6,7,5,2,4,3]=>[1,5,7,6,4,2,3]=>001110 [1,6,7,5,4,3,2]=>[6,7,5,4,1,3,2]=>[5,7,6,4,3,1,2]=>011110 [1,7,2,3,4,5,6]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>000001 [1,7,2,3,4,6,5]=>[7,1,2,3,6,4,5]=>[2,3,4,6,7,5,1]=>000011 [1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6]=>[1,3,5,6,4,7,2]=>000101 [1,7,2,3,5,6,4]=>[7,1,2,3,5,6,4]=>[2,3,4,7,5,6,1]=>000101 [1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[1,3,4,6,7,5,2]=>000011 [1,7,2,3,6,5,4]=>[7,6,1,2,5,3,4]=>[3,4,6,7,5,2,1]=>000111 [1,7,2,4,3,5,6]=>[1,4,7,2,3,5,6]=>[1,4,5,2,6,7,3]=>001001 [1,7,2,4,3,6,5]=>[7,1,6,4,2,3,5]=>[2,5,6,4,7,3,1]=>001011 [1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>[1,3,6,4,5,7,2]=>001001 [1,7,2,4,5,6,3]=>[4,1,2,7,5,6,3]=>[2,3,7,1,5,6,4]=>001001 [1,7,2,4,6,3,5]=>[1,7,2,4,3,6,5]=>[1,3,5,4,7,6,2]=>001011 [1,7,2,4,6,5,3]=>[7,6,1,2,4,5,3]=>[3,4,7,5,6,2,1]=>001011 [1,7,2,5,3,4,6]=>[1,2,7,5,3,4,6]=>[1,2,5,6,4,7,3]=>000101 [1,7,2,5,3,6,4]=>[7,1,5,6,2,3,4]=>[2,5,6,7,3,4,1]=>000101 [1,7,2,5,4,3,6]=>[5,7,1,4,2,3,6]=>[3,5,6,4,1,7,2]=>001101 [1,7,2,5,4,6,3]=>[7,1,5,4,2,6,3]=>[2,5,7,4,3,6,1]=>001101 [1,7,2,5,6,3,4]=>[1,7,2,3,5,6,4]=>[1,3,4,7,5,6,2]=>000101 [1,7,2,5,6,4,3]=>[7,5,1,2,6,4,3]=>[3,4,7,6,2,5,1]=>001101 [1,7,2,6,3,4,5]=>[1,2,7,3,6,4,5]=>[1,2,4,6,7,5,3]=>000011 [1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[2,4,6,7,5,3,1]=>000111 [1,7,2,6,4,3,5]=>[1,7,6,4,2,3,5]=>[1,5,6,4,7,3,2]=>001011 [1,7,2,6,4,5,3]=>[7,1,6,2,4,5,3]=>[2,4,7,5,6,3,1]=>001011 [1,7,2,6,5,3,4]=>[1,7,6,2,5,3,4]=>[1,4,6,7,5,3,2]=>000111 [1,7,2,6,5,4,3]=>[7,6,5,1,4,2,3]=>[4,6,7,5,3,2,1]=>001111 [1,7,3,2,4,5,6]=>[3,1,2,7,4,5,6]=>[2,3,1,5,6,7,4]=>010001 [1,7,3,2,4,6,5]=>[7,3,1,6,2,4,5]=>[3,5,2,6,7,4,1]=>010011 [1,7,3,2,5,4,6]=>[3,7,5,1,2,4,6]=>[4,5,1,6,3,7,2]=>010101 [1,7,3,2,5,6,4]=>[7,3,1,5,2,6,4]=>[3,5,2,7,4,6,1]=>010101 [1,7,3,2,6,4,5]=>[3,7,1,6,2,4,5]=>[3,5,1,6,7,4,2]=>010011 [1,7,3,2,6,5,4]=>[7,6,3,5,1,2,4]=>[5,6,3,7,4,2,1]=>010111 [1,7,3,4,2,5,6]=>[1,3,7,4,2,5,6]=>[1,5,2,4,6,7,3]=>010001 [1,7,3,4,2,6,5]=>[7,1,6,3,4,2,5]=>[2,6,4,5,7,3,1]=>010011 [1,7,3,4,5,2,6]=>[3,1,4,7,5,2,6]=>[2,6,1,3,5,7,4]=>010001 [1,7,3,4,5,6,2]=>[3,1,4,7,5,6,2]=>[2,7,1,3,5,6,4]=>010001 [1,7,3,4,6,2,5]=>[3,1,4,7,2,6,5]=>[2,5,1,3,7,6,4]=>010011 [1,7,3,4,6,5,2]=>[7,3,1,6,4,5,2]=>[3,7,2,5,6,4,1]=>010011 [1,7,3,5,2,4,6]=>[1,3,7,2,5,4,6]=>[1,4,2,6,5,7,3]=>010101 [1,7,3,5,2,6,4]=>[7,1,5,3,6,2,4]=>[2,6,4,7,3,5,1]=>010101 [1,7,3,5,4,2,6]=>[5,7,1,3,4,2,6]=>[3,6,4,5,1,7,2]=>010101 [1,7,3,5,4,6,2]=>[7,1,5,3,4,6,2]=>[2,7,4,5,3,6,1]=>010101 [1,7,3,5,6,2,4]=>[3,1,2,7,5,6,4]=>[2,3,1,7,5,6,4]=>010101 [1,7,3,5,6,4,2]=>[7,3,1,5,6,4,2]=>[3,7,2,6,4,5,1]=>010101 [1,7,3,6,2,4,5]=>[1,3,7,2,4,6,5]=>[1,4,2,5,7,6,3]=>010011 [1,7,3,6,2,5,4]=>[7,1,6,3,2,5,4]=>[2,5,4,7,6,3,1]=>010111 [1,7,3,6,4,2,5]=>[1,7,6,3,4,2,5]=>[1,6,4,5,7,3,2]=>010011 [1,7,3,6,4,5,2]=>[7,1,3,6,4,5,2]=>[2,7,3,5,6,4,1]=>010011 [1,7,3,6,5,2,4]=>[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2]=>010111 [1,7,3,6,5,4,2]=>[7,6,5,1,3,4,2]=>[4,7,5,6,3,2,1]=>010111 [1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6]=>[1,3,5,2,6,7,4]=>001001 [1,7,4,2,3,6,5]=>[7,1,4,6,2,3,5]=>[2,5,6,3,7,4,1]=>001011 [1,7,4,2,5,3,6]=>[4,5,7,1,2,3,6]=>[4,5,6,1,2,7,3]=>001001 [1,7,4,2,5,6,3]=>[4,7,1,5,2,6,3]=>[3,5,7,1,4,6,2]=>001001 [1,7,4,2,6,3,5]=>[4,1,7,6,2,3,5]=>[2,5,6,1,7,4,3]=>001011 [1,7,4,2,6,5,3]=>[7,4,6,5,1,2,3]=>[5,6,7,2,4,3,1]=>001011 [1,7,4,3,2,5,6]=>[4,3,7,1,2,5,6]=>[4,5,2,1,6,7,3]=>011001 [1,7,4,3,2,6,5]=>[7,4,6,3,1,2,5]=>[5,6,4,2,7,3,1]=>011011 [1,7,4,3,5,2,6]=>[4,3,7,1,5,2,6]=>[4,6,2,1,5,7,3]=>011001 [1,7,4,3,5,6,2]=>[4,7,1,3,5,6,2]=>[3,7,4,1,5,6,2]=>011001 [1,7,4,3,6,2,5]=>[4,3,7,1,2,6,5]=>[4,5,2,1,7,6,3]=>011011 [1,7,4,3,6,5,2]=>[7,4,6,3,1,5,2]=>[5,7,4,2,6,3,1]=>011011 [1,7,4,5,2,3,6]=>[1,2,7,4,5,3,6]=>[1,2,6,4,5,7,3]=>001001 [1,7,4,5,2,6,3]=>[7,1,4,5,6,2,3]=>[2,6,7,3,4,5,1]=>001001 [1,7,4,5,3,2,6]=>[4,7,1,5,3,2,6]=>[3,6,5,1,4,7,2]=>011001 [1,7,4,5,3,6,2]=>[7,1,4,5,3,6,2]=>[2,7,5,3,4,6,1]=>011001 [1,7,4,5,6,2,3]=>[1,4,2,7,5,6,3]=>[1,3,7,2,5,6,4]=>001001 [1,7,4,5,6,3,2]=>[4,7,1,5,6,3,2]=>[3,7,6,1,4,5,2]=>011001 [1,7,4,6,2,3,5]=>[1,2,7,4,3,6,5]=>[1,2,5,4,7,6,3]=>001011 [1,7,4,6,2,5,3]=>[7,1,4,6,2,5,3]=>[2,5,7,3,6,4,1]=>001011 [1,7,4,6,3,2,5]=>[4,7,1,3,6,2,5]=>[3,6,4,1,7,5,2]=>011011 [1,7,4,6,3,5,2]=>[7,1,4,3,6,5,2]=>[2,7,4,3,6,5,1]=>011011 [1,7,4,6,5,2,3]=>[1,7,6,2,4,5,3]=>[1,4,7,5,6,3,2]=>001011 [1,7,4,6,5,3,2]=>[7,6,4,1,5,3,2]=>[4,7,6,3,5,2,1]=>011011 [1,7,5,2,3,4,6]=>[1,2,5,7,3,4,6]=>[1,2,5,6,3,7,4]=>000101 [1,7,5,2,3,6,4]=>[5,1,7,6,2,3,4]=>[2,5,6,7,1,4,3]=>000101 [1,7,5,2,4,3,6]=>[1,7,5,4,2,3,6]=>[1,5,6,4,3,7,2]=>001101 [1,7,5,2,4,6,3]=>[5,1,7,4,2,6,3]=>[2,5,7,4,1,6,3]=>001101 [1,7,5,2,6,3,4]=>[1,5,7,6,2,3,4]=>[1,5,6,7,2,4,3]=>000101 [1,7,5,2,6,4,3]=>[5,7,6,4,1,2,3]=>[5,6,7,4,1,3,2]=>001101 [1,7,5,3,2,4,6]=>[3,5,7,1,2,4,6]=>[4,5,1,6,2,7,3]=>010101 [1,7,5,3,2,6,4]=>[5,7,6,3,1,2,4]=>[5,6,4,7,1,3,2]=>010101 [1,7,5,3,4,2,6]=>[1,7,5,3,4,2,6]=>[1,6,4,5,3,7,2]=>010101 [1,7,5,3,4,6,2]=>[5,1,7,3,4,6,2]=>[2,7,4,5,1,6,3]=>010101 [1,7,5,3,6,2,4]=>[3,5,7,1,2,6,4]=>[4,5,1,7,2,6,3]=>010101 [1,7,5,3,6,4,2]=>[5,7,6,3,1,4,2]=>[5,7,4,6,1,3,2]=>010101 [1,7,5,4,2,3,6]=>[1,5,7,4,2,3,6]=>[1,5,6,4,2,7,3]=>001101 [1,7,5,4,2,6,3]=>[5,7,4,6,1,2,3]=>[5,6,7,3,1,4,2]=>001101 [1,7,5,4,3,2,6]=>[5,7,4,3,1,2,6]=>[5,6,4,3,1,7,2]=>011101 [1,7,5,4,3,6,2]=>[5,7,4,3,1,6,2]=>[5,7,4,3,1,6,2]=>011101 [1,7,5,4,6,2,3]=>[1,5,7,4,2,6,3]=>[1,5,7,4,2,6,3]=>001101 [1,7,5,4,6,3,2]=>[5,7,4,6,1,3,2]=>[5,7,6,3,1,4,2]=>011101 [1,7,5,6,2,3,4]=>[1,2,7,3,5,6,4]=>[1,2,4,7,5,6,3]=>000101 [1,7,5,6,2,4,3]=>[7,1,5,2,6,4,3]=>[2,4,7,6,3,5,1]=>001101 [1,7,5,6,3,2,4]=>[1,7,5,3,6,2,4]=>[1,6,4,7,3,5,2]=>010101 [1,7,5,6,3,4,2]=>[7,1,3,5,6,4,2]=>[2,7,3,6,4,5,1]=>010101 [1,7,5,6,4,2,3]=>[1,7,5,2,6,4,3]=>[1,4,7,6,3,5,2]=>001101 [1,7,5,6,4,3,2]=>[7,5,6,1,4,3,2]=>[4,7,6,5,2,3,1]=>011101 [1,7,6,2,3,4,5]=>[1,2,3,7,6,4,5]=>[1,2,3,6,7,5,4]=>000011 [1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[2,3,6,7,5,4,1]=>000111 [1,7,6,2,4,3,5]=>[1,7,4,6,2,3,5]=>[1,5,6,3,7,4,2]=>001011 [1,7,6,2,4,5,3]=>[7,1,2,6,4,5,3]=>[2,3,7,5,6,4,1]=>001011 [1,7,6,2,5,3,4]=>[1,7,2,6,5,3,4]=>[1,3,6,7,5,4,2]=>000111 [1,7,6,2,5,4,3]=>[7,6,1,5,4,2,3]=>[3,6,7,5,4,2,1]=>001111 [1,7,6,3,2,4,5]=>[3,1,7,6,2,4,5]=>[2,5,1,6,7,4,3]=>010011 [1,7,6,3,2,5,4]=>[7,3,6,5,1,2,4]=>[5,6,2,7,4,3,1]=>010111 [1,7,6,3,4,2,5]=>[1,7,3,6,4,2,5]=>[1,6,3,5,7,4,2]=>010011 [1,7,6,3,4,5,2]=>[3,1,7,6,4,5,2]=>[2,7,1,5,6,4,3]=>010011 [1,7,6,3,5,2,4]=>[1,7,3,6,2,5,4]=>[1,5,3,7,6,4,2]=>010111 [1,7,6,3,5,4,2]=>[7,6,1,5,3,4,2]=>[3,7,5,6,4,2,1]=>010111 [1,7,6,4,2,3,5]=>[1,4,7,6,2,3,5]=>[1,5,6,2,7,4,3]=>001011 [1,7,6,4,2,5,3]=>[4,7,6,5,1,2,3]=>[5,6,7,1,4,3,2]=>001011 [1,7,6,4,3,2,5]=>[4,7,6,3,1,2,5]=>[5,6,4,1,7,3,2]=>011011 [1,7,6,4,3,5,2]=>[4,7,6,3,1,5,2]=>[5,7,4,1,6,3,2]=>011011 [1,7,6,4,5,2,3]=>[1,7,2,6,4,5,3]=>[1,3,7,5,6,4,2]=>001011 [1,7,6,4,5,3,2]=>[7,6,1,4,5,3,2]=>[3,7,6,4,5,2,1]=>011011 [1,7,6,5,2,3,4]=>[1,2,7,6,5,3,4]=>[1,2,6,7,5,4,3]=>000111 [1,7,6,5,2,4,3]=>[7,1,6,5,4,2,3]=>[2,6,7,5,4,3,1]=>001111 [1,7,6,5,3,2,4]=>[3,7,6,5,1,2,4]=>[5,6,1,7,4,3,2]=>010111 [1,7,6,5,3,4,2]=>[7,1,6,5,3,4,2]=>[2,7,5,6,4,3,1]=>010111 [1,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]=>[1,6,7,5,4,3,2]=>001111 [1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1]=>011111 [2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>100000 [2,1,3,4,5,7,6]=>[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]=>100001 [2,1,3,4,6,5,7]=>[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7]=>100010 [2,1,3,4,6,7,5]=>[6,2,1,3,4,7,5]=>[3,2,4,5,7,1,6]=>100010 [2,1,3,4,7,5,6]=>[2,7,1,3,4,5,6]=>[3,1,4,5,6,7,2]=>100001 [2,1,3,4,7,6,5]=>[7,6,2,1,3,4,5]=>[4,3,5,6,7,2,1]=>100011 [2,1,3,5,4,6,7]=>[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7]=>100100 [2,1,3,5,4,7,6]=>[7,5,2,1,3,4,6]=>[4,3,5,6,2,7,1]=>100101 [2,1,3,5,6,4,7]=>[5,2,1,3,6,4,7]=>[3,2,4,6,1,5,7]=>100100 [2,1,3,5,6,7,4]=>[5,2,1,3,6,7,4]=>[3,2,4,7,1,5,6]=>100100 [2,1,3,5,7,4,6]=>[5,2,1,3,4,7,6]=>[3,2,4,5,1,7,6]=>100101 [2,1,3,5,7,6,4]=>[7,5,2,1,3,6,4]=>[4,3,5,7,2,6,1]=>100101 [2,1,3,6,4,5,7]=>[2,6,1,3,4,5,7]=>[3,1,4,5,6,2,7]=>100010 [2,1,3,6,4,7,5]=>[6,7,2,1,3,4,5]=>[4,3,5,6,7,1,2]=>100010 [2,1,3,6,5,4,7]=>[6,5,2,1,3,4,7]=>[4,3,5,6,2,1,7]=>100110 [2,1,3,6,5,7,4]=>[6,5,2,1,3,7,4]=>[4,3,5,7,2,1,6]=>100110 [2,1,3,6,7,4,5]=>[2,6,1,3,4,7,5]=>[3,1,4,5,7,2,6]=>100010 [2,1,3,6,7,5,4]=>[6,7,2,1,3,5,4]=>[4,3,5,7,6,1,2]=>100110 [2,1,3,7,4,5,6]=>[2,1,7,3,4,5,6]=>[2,1,4,5,6,7,3]=>100001 [2,1,3,7,4,6,5]=>[7,2,6,1,3,4,5]=>[4,2,5,6,7,3,1]=>100011 [2,1,3,7,5,4,6]=>[5,7,2,1,3,4,6]=>[4,3,5,6,1,7,2]=>100101 [2,1,3,7,5,6,4]=>[7,2,5,1,3,6,4]=>[4,2,5,7,3,6,1]=>100101 [2,1,3,7,6,4,5]=>[2,7,6,1,3,4,5]=>[4,1,5,6,7,3,2]=>100011 [2,1,3,7,6,5,4]=>[7,6,5,2,1,3,4]=>[5,4,6,7,3,2,1]=>100111 [2,1,4,3,5,6,7]=>[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7]=>101000 [2,1,4,3,5,7,6]=>[7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1]=>101001 [2,1,4,3,6,5,7]=>[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7]=>101010 [2,1,4,3,6,7,5]=>[6,4,2,1,3,7,5]=>[4,3,5,2,7,1,6]=>101010 [2,1,4,3,7,5,6]=>[4,7,2,1,3,5,6]=>[4,3,5,1,6,7,2]=>101001 [2,1,4,3,7,6,5]=>[7,6,4,2,1,3,5]=>[5,4,6,3,7,2,1]=>101011 [2,1,4,5,3,6,7]=>[4,2,1,5,3,6,7]=>[3,2,5,1,4,6,7]=>101000 [2,1,4,5,3,7,6]=>[7,4,2,1,5,3,6]=>[4,3,6,2,5,7,1]=>101001 [2,1,4,5,6,3,7]=>[4,2,1,5,6,3,7]=>[3,2,6,1,4,5,7]=>101000 [2,1,4,5,6,7,3]=>[4,2,1,5,6,7,3]=>[3,2,7,1,4,5,6]=>101000 [2,1,4,5,7,3,6]=>[4,2,1,5,3,7,6]=>[3,2,5,1,4,7,6]=>101001 [2,1,4,5,7,6,3]=>[7,4,2,1,5,6,3]=>[4,3,7,2,5,6,1]=>101001 [2,1,4,6,3,5,7]=>[4,2,1,3,6,5,7]=>[3,2,4,1,6,5,7]=>101010 [2,1,4,6,3,7,5]=>[6,4,2,1,7,3,5]=>[4,3,6,2,7,1,5]=>101010 [2,1,4,6,5,3,7]=>[6,4,2,1,5,3,7]=>[4,3,6,2,5,1,7]=>101010 [2,1,4,6,5,7,3]=>[6,4,2,1,5,7,3]=>[4,3,7,2,5,1,6]=>101010 [2,1,4,6,7,3,5]=>[4,2,1,3,6,7,5]=>[3,2,4,1,7,5,6]=>101010 [2,1,4,6,7,5,3]=>[6,4,2,1,7,5,3]=>[4,3,7,2,6,1,5]=>101010 [2,1,4,7,3,5,6]=>[4,2,1,3,5,7,6]=>[3,2,4,1,5,7,6]=>101001 [2,1,4,7,3,6,5]=>[7,4,2,1,3,6,5]=>[4,3,5,2,7,6,1]=>101011 [2,1,4,7,5,3,6]=>[4,7,2,1,5,3,6]=>[4,3,6,1,5,7,2]=>101001 [2,1,4,7,5,6,3]=>[7,2,4,1,5,6,3]=>[4,2,7,3,5,6,1]=>101001 [2,1,4,7,6,3,5]=>[4,7,2,1,3,6,5]=>[4,3,5,1,7,6,2]=>101011 [2,1,4,7,6,5,3]=>[7,6,4,2,1,5,3]=>[5,4,7,3,6,2,1]=>101011 [2,1,5,3,4,6,7]=>[2,5,1,3,4,6,7]=>[3,1,4,5,2,6,7]=>100100 [2,1,5,3,4,7,6]=>[7,2,5,1,3,4,6]=>[4,2,5,6,3,7,1]=>100101 [2,1,5,3,6,4,7]=>[5,6,2,1,3,4,7]=>[4,3,5,6,1,2,7]=>100100 [2,1,5,3,6,7,4]=>[5,6,2,1,3,7,4]=>[4,3,5,7,1,2,6]=>100100 [2,1,5,3,7,4,6]=>[5,2,7,1,3,4,6]=>[4,2,5,6,1,7,3]=>100101 [2,1,5,3,7,6,4]=>[7,5,6,2,1,3,4]=>[5,4,6,7,2,3,1]=>100101 [2,1,5,4,3,6,7]=>[5,4,2,1,3,6,7]=>[4,3,5,2,1,6,7]=>101100 [2,1,5,4,3,7,6]=>[7,5,4,2,1,3,6]=>[5,4,6,3,2,7,1]=>101101 [2,1,5,4,6,3,7]=>[5,4,2,1,6,3,7]=>[4,3,6,2,1,5,7]=>101100 [2,1,5,4,6,7,3]=>[5,4,2,1,6,7,3]=>[4,3,7,2,1,5,6]=>101100 [2,1,5,4,7,3,6]=>[5,4,2,1,3,7,6]=>[4,3,5,2,1,7,6]=>101101 [2,1,5,4,7,6,3]=>[7,5,4,2,1,6,3]=>[5,4,7,3,2,6,1]=>101101 [2,1,5,6,3,4,7]=>[2,5,1,3,6,4,7]=>[3,1,4,6,2,5,7]=>100100 [2,1,5,6,3,7,4]=>[5,6,2,1,7,3,4]=>[4,3,6,7,1,2,5]=>100100 [2,1,5,6,4,3,7]=>[5,6,2,1,4,3,7]=>[4,3,6,5,1,2,7]=>101100 [2,1,5,6,4,7,3]=>[5,6,2,1,4,7,3]=>[4,3,7,5,1,2,6]=>101100 [2,1,5,6,7,3,4]=>[2,5,1,3,6,7,4]=>[3,1,4,7,2,5,6]=>100100 [2,1,5,6,7,4,3]=>[5,6,2,1,7,4,3]=>[4,3,7,6,1,2,5]=>101100 [2,1,5,7,3,4,6]=>[2,5,1,3,4,7,6]=>[3,1,4,5,2,7,6]=>100101 [2,1,5,7,3,6,4]=>[5,7,2,1,3,6,4]=>[4,3,5,7,1,6,2]=>100101 [2,1,5,7,4,3,6]=>[5,2,7,1,4,3,6]=>[4,2,6,5,1,7,3]=>101101 [2,1,5,7,4,6,3]=>[5,4,2,1,7,6,3]=>[4,3,7,2,1,6,5]=>101101 [2,1,5,7,6,3,4]=>[2,7,5,1,3,6,4]=>[4,1,5,7,3,6,2]=>100101 [2,1,5,7,6,4,3]=>[7,5,6,2,1,4,3]=>[5,4,7,6,2,3,1]=>101101 [2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7]=>[2,1,4,5,6,3,7]=>100010 [2,1,6,3,4,7,5]=>[6,2,7,1,3,4,5]=>[4,2,5,6,7,1,3]=>100010 [2,1,6,3,5,4,7]=>[6,2,5,1,3,4,7]=>[4,2,5,6,3,1,7]=>100110 [2,1,6,3,5,7,4]=>[6,2,5,1,3,7,4]=>[4,2,5,7,3,1,6]=>100110 [2,1,6,3,7,4,5]=>[2,6,7,1,3,4,5]=>[4,1,5,6,7,2,3]=>100010 [2,1,6,3,7,5,4]=>[6,7,5,2,1,3,4]=>[5,4,6,7,3,1,2]=>100110 [2,1,6,4,3,5,7]=>[4,6,2,1,3,5,7]=>[4,3,5,1,6,2,7]=>101010 [2,1,6,4,3,7,5]=>[6,7,4,2,1,3,5]=>[5,4,6,3,7,1,2]=>101010 [2,1,6,4,5,3,7]=>[6,2,4,1,5,3,7]=>[4,2,6,3,5,1,7]=>101010 [2,1,6,4,5,7,3]=>[6,2,4,1,5,7,3]=>[4,2,7,3,5,1,6]=>101010 [2,1,6,4,7,3,5]=>[4,6,2,1,3,7,5]=>[4,3,5,1,7,2,6]=>101010 [2,1,6,4,7,5,3]=>[6,7,4,2,1,5,3]=>[5,4,7,3,6,1,2]=>101010 [2,1,6,5,3,4,7]=>[2,6,5,1,3,4,7]=>[4,1,5,6,3,2,7]=>100110 [2,1,6,5,3,7,4]=>[6,5,7,2,1,3,4]=>[5,4,6,7,2,1,3]=>100110 [2,1,6,5,4,3,7]=>[6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7]=>101110 [2,1,6,5,4,7,3]=>[6,5,4,2,1,7,3]=>[5,4,7,3,2,1,6]=>101110 [2,1,6,5,7,3,4]=>[2,6,5,1,3,7,4]=>[4,1,5,7,3,2,6]=>100110 [2,1,6,5,7,4,3]=>[6,5,7,2,1,4,3]=>[5,4,7,6,2,1,3]=>101110 [2,1,6,7,3,4,5]=>[2,1,6,3,4,7,5]=>[2,1,4,5,7,3,6]=>100010 [2,1,6,7,3,5,4]=>[6,2,7,1,3,5,4]=>[4,2,5,7,6,1,3]=>100110 [2,1,6,7,4,3,5]=>[2,6,7,1,4,3,5]=>[4,1,6,5,7,2,3]=>101010 [2,1,6,7,4,5,3]=>[6,2,4,1,7,5,3]=>[4,2,7,3,6,1,5]=>101010 [2,1,6,7,5,3,4]=>[2,6,7,1,3,5,4]=>[4,1,5,7,6,2,3]=>100110 [2,1,6,7,5,4,3]=>[6,7,5,2,1,4,3]=>[5,4,7,6,3,1,2]=>101110 [2,1,7,3,4,5,6]=>[2,1,3,7,4,5,6]=>[2,1,3,5,6,7,4]=>100001 [2,1,7,3,4,6,5]=>[7,2,1,6,3,4,5]=>[3,2,5,6,7,4,1]=>100011 [2,1,7,3,5,4,6]=>[2,7,5,1,3,4,6]=>[4,1,5,6,3,7,2]=>100101 [2,1,7,3,5,6,4]=>[7,2,1,5,3,6,4]=>[3,2,5,7,4,6,1]=>100101 [2,1,7,3,6,4,5]=>[2,7,1,6,3,4,5]=>[3,1,5,6,7,4,2]=>100011 [2,1,7,3,6,5,4]=>[7,6,2,5,1,3,4]=>[5,3,6,7,4,2,1]=>100111 [2,1,7,4,3,5,6]=>[4,2,7,1,3,5,6]=>[4,2,5,1,6,7,3]=>101001 [2,1,7,4,3,6,5]=>[7,4,6,2,1,3,5]=>[5,4,6,2,7,3,1]=>101011 [2,1,7,4,5,3,6]=>[2,7,4,1,5,3,6]=>[4,1,6,3,5,7,2]=>101001 [2,1,7,4,5,6,3]=>[7,2,1,4,5,6,3]=>[3,2,7,4,5,6,1]=>101001 [2,1,7,4,6,3,5]=>[2,7,4,1,3,6,5]=>[4,1,5,3,7,6,2]=>101011 [2,1,7,4,6,5,3]=>[7,6,2,4,1,5,3]=>[5,3,7,4,6,2,1]=>101011 [2,1,7,5,3,4,6]=>[2,5,7,1,3,4,6]=>[4,1,5,6,2,7,3]=>100101 [2,1,7,5,3,6,4]=>[5,7,6,2,1,3,4]=>[5,4,6,7,1,3,2]=>100101 [2,1,7,5,4,3,6]=>[5,7,4,2,1,3,6]=>[5,4,6,3,1,7,2]=>101101 [2,1,7,5,4,6,3]=>[5,7,4,2,1,6,3]=>[5,4,7,3,1,6,2]=>101101 [2,1,7,5,6,3,4]=>[2,7,1,5,3,6,4]=>[3,1,5,7,4,6,2]=>100101 [2,1,7,5,6,4,3]=>[7,5,2,6,1,4,3]=>[5,3,7,6,2,4,1]=>101101 [2,1,7,6,3,4,5]=>[2,1,7,6,3,4,5]=>[2,1,5,6,7,4,3]=>100011 [2,1,7,6,3,5,4]=>[7,2,6,5,1,3,4]=>[5,2,6,7,4,3,1]=>100111 [2,1,7,6,4,3,5]=>[4,7,6,2,1,3,5]=>[5,4,6,1,7,3,2]=>101011 [2,1,7,6,4,5,3]=>[7,2,6,4,1,5,3]=>[5,2,7,4,6,3,1]=>101011 [2,1,7,6,5,3,4]=>[2,7,6,5,1,3,4]=>[5,1,6,7,4,3,2]=>100111 [2,1,7,6,5,4,3]=>[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1]=>101111 [2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>100000 [2,3,1,4,5,7,6]=>[7,2,3,1,4,5,6]=>[4,2,3,5,6,7,1]=>100001 [2,3,1,4,6,5,7]=>[6,2,3,1,4,5,7]=>[4,2,3,5,6,1,7]=>100010 [2,3,1,4,6,7,5]=>[6,2,3,1,4,7,5]=>[4,2,3,5,7,1,6]=>100010 [2,3,1,4,7,5,6]=>[2,7,3,1,4,5,6]=>[4,1,3,5,6,7,2]=>100001 [2,3,1,4,7,6,5]=>[7,6,2,3,1,4,5]=>[5,3,4,6,7,2,1]=>100011 [2,3,1,5,4,6,7]=>[5,2,3,1,4,6,7]=>[4,2,3,5,1,6,7]=>100100 [2,3,1,5,4,7,6]=>[7,5,2,3,1,4,6]=>[5,3,4,6,2,7,1]=>100101 [2,3,1,5,6,4,7]=>[5,2,3,1,6,4,7]=>[4,2,3,6,1,5,7]=>100100 [2,3,1,5,6,7,4]=>[5,2,3,1,6,7,4]=>[4,2,3,7,1,5,6]=>100100 [2,3,1,5,7,4,6]=>[5,2,3,1,4,7,6]=>[4,2,3,5,1,7,6]=>100101 [2,3,1,5,7,6,4]=>[7,5,2,3,1,6,4]=>[5,3,4,7,2,6,1]=>100101 [2,3,1,6,4,5,7]=>[2,6,3,1,4,5,7]=>[4,1,3,5,6,2,7]=>100010 [2,3,1,6,4,7,5]=>[6,7,2,3,1,4,5]=>[5,3,4,6,7,1,2]=>100010 [2,3,1,6,5,4,7]=>[6,5,2,3,1,4,7]=>[5,3,4,6,2,1,7]=>100110 [2,3,1,6,5,7,4]=>[6,5,2,3,1,7,4]=>[5,3,4,7,2,1,6]=>100110 [2,3,1,6,7,4,5]=>[2,6,3,1,4,7,5]=>[4,1,3,5,7,2,6]=>100010 [2,3,1,6,7,5,4]=>[6,7,2,3,1,5,4]=>[5,3,4,7,6,1,2]=>100110 [2,3,1,7,4,5,6]=>[2,3,7,1,4,5,6]=>[4,1,2,5,6,7,3]=>100001 [2,3,1,7,4,6,5]=>[7,2,6,3,1,4,5]=>[5,2,4,6,7,3,1]=>100011 [2,3,1,7,5,4,6]=>[5,7,2,3,1,4,6]=>[5,3,4,6,1,7,2]=>100101 [2,3,1,7,5,6,4]=>[7,2,5,3,1,6,4]=>[5,2,4,7,3,6,1]=>100101 [2,3,1,7,6,4,5]=>[2,7,6,3,1,4,5]=>[5,1,4,6,7,3,2]=>100011 [2,3,1,7,6,5,4]=>[7,6,5,2,3,1,4]=>[6,4,5,7,3,2,1]=>100111 [2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>100000 [2,3,4,1,5,7,6]=>[7,2,3,4,1,5,6]=>[5,2,3,4,6,7,1]=>100001 [2,3,4,1,6,5,7]=>[6,2,3,4,1,5,7]=>[5,2,3,4,6,1,7]=>100010 [2,3,4,1,6,7,5]=>[6,2,3,4,1,7,5]=>[5,2,3,4,7,1,6]=>100010 [2,3,4,1,7,5,6]=>[2,7,3,4,1,5,6]=>[5,1,3,4,6,7,2]=>100001 [2,3,4,1,7,6,5]=>[7,6,2,3,4,1,5]=>[6,3,4,5,7,2,1]=>100011 [2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>100000 [2,3,4,5,1,7,6]=>[7,2,3,4,5,1,6]=>[6,2,3,4,5,7,1]=>100001 [2,3,4,5,6,1,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>100000 [2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>100000 [2,3,4,5,7,1,6]=>[2,3,4,5,1,7,6]=>[5,1,2,3,4,7,6]=>100001 [2,3,4,5,7,6,1]=>[7,2,3,4,5,6,1]=>[7,2,3,4,5,6,1]=>100001 [2,3,4,6,1,5,7]=>[2,3,4,1,6,5,7]=>[4,1,2,3,6,5,7]=>100010 [2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]=>[6,2,3,4,7,1,5]=>100010 [2,3,4,6,5,1,7]=>[6,2,3,4,5,1,7]=>[6,2,3,4,5,1,7]=>100010 [2,3,4,6,5,7,1]=>[6,2,3,4,5,7,1]=>[7,2,3,4,5,1,6]=>100010 [2,3,4,6,7,1,5]=>[2,3,4,1,6,7,5]=>[4,1,2,3,7,5,6]=>100010 [2,3,4,6,7,5,1]=>[6,2,3,4,7,5,1]=>[7,2,3,4,6,1,5]=>100010 [2,3,4,7,1,5,6]=>[2,3,4,1,5,7,6]=>[4,1,2,3,5,7,6]=>100001 [2,3,4,7,1,6,5]=>[7,2,3,4,1,6,5]=>[5,2,3,4,7,6,1]=>100011 [2,3,4,7,5,1,6]=>[2,7,3,4,5,1,6]=>[6,1,3,4,5,7,2]=>100001 [2,3,4,7,5,6,1]=>[2,7,3,4,5,6,1]=>[7,1,3,4,5,6,2]=>100001 [2,3,4,7,6,1,5]=>[2,7,3,4,1,6,5]=>[5,1,3,4,7,6,2]=>100011 [2,3,4,7,6,5,1]=>[7,6,2,3,4,5,1]=>[7,3,4,5,6,2,1]=>100011 [2,3,5,1,4,6,7]=>[2,3,1,5,4,6,7]=>[3,1,2,5,4,6,7]=>100100 [2,3,5,1,4,7,6]=>[7,2,3,1,5,4,6]=>[4,2,3,6,5,7,1]=>100101 [2,3,5,1,6,4,7]=>[5,2,3,6,1,4,7]=>[5,2,3,6,1,4,7]=>100100 [2,3,5,1,6,7,4]=>[5,2,3,6,1,7,4]=>[5,2,3,7,1,4,6]=>100100 [2,3,5,1,7,4,6]=>[5,2,3,1,7,4,6]=>[4,2,3,6,1,7,5]=>100101 [2,3,5,1,7,6,4]=>[7,5,2,3,6,1,4]=>[6,3,4,7,2,5,1]=>100101 [2,3,5,4,1,6,7]=>[5,2,3,4,1,6,7]=>[5,2,3,4,1,6,7]=>100100 [2,3,5,4,1,7,6]=>[7,5,2,3,4,1,6]=>[6,3,4,5,2,7,1]=>100101 [2,3,5,4,6,1,7]=>[5,2,3,4,6,1,7]=>[6,2,3,4,1,5,7]=>100100 [2,3,5,4,6,7,1]=>[5,2,3,4,6,7,1]=>[7,2,3,4,1,5,6]=>100100 [2,3,5,4,7,1,6]=>[5,2,3,4,1,7,6]=>[5,2,3,4,1,7,6]=>100101 [2,3,5,4,7,6,1]=>[7,5,2,3,4,6,1]=>[7,3,4,5,2,6,1]=>100101 [2,3,5,6,1,4,7]=>[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7]=>100100 [2,3,5,6,1,7,4]=>[5,2,3,6,7,1,4]=>[6,2,3,7,1,4,5]=>100100 [2,3,5,6,4,1,7]=>[5,2,3,6,4,1,7]=>[6,2,3,5,1,4,7]=>100100 [2,3,5,6,4,7,1]=>[5,2,3,6,4,7,1]=>[7,2,3,5,1,4,6]=>100100 [2,3,5,6,7,1,4]=>[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6]=>100100 [2,3,5,6,7,4,1]=>[5,2,3,6,7,4,1]=>[7,2,3,6,1,4,5]=>100100 [2,3,5,7,1,4,6]=>[2,3,1,5,4,7,6]=>[3,1,2,5,4,7,6]=>100101 [2,3,5,7,1,6,4]=>[5,2,3,7,1,6,4]=>[5,2,3,7,1,6,4]=>100101 [2,3,5,7,4,1,6]=>[5,2,3,4,7,1,6]=>[6,2,3,4,1,7,5]=>100101 [2,3,5,7,4,6,1]=>[5,2,3,4,7,6,1]=>[7,2,3,4,1,6,5]=>100101 [2,3,5,7,6,1,4]=>[2,7,3,1,5,6,4]=>[4,1,3,7,5,6,2]=>100101 [2,3,5,7,6,4,1]=>[7,5,2,3,6,4,1]=>[7,3,4,6,2,5,1]=>100101 [2,3,6,1,4,5,7]=>[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7]=>100010 [2,3,6,1,4,7,5]=>[6,2,3,1,7,4,5]=>[4,2,3,6,7,1,5]=>100010 [2,3,6,1,5,4,7]=>[6,2,3,1,5,4,7]=>[4,2,3,6,5,1,7]=>100110 [2,3,6,1,5,7,4]=>[6,2,3,1,5,7,4]=>[4,2,3,7,5,1,6]=>100110 [2,3,6,1,7,4,5]=>[2,6,3,1,7,4,5]=>[4,1,3,6,7,2,5]=>100010 [2,3,6,1,7,5,4]=>[6,7,2,3,5,1,4]=>[6,3,4,7,5,1,2]=>100110 [2,3,6,4,1,5,7]=>[2,6,3,4,1,5,7]=>[5,1,3,4,6,2,7]=>100010 [2,3,6,4,1,7,5]=>[6,7,2,3,4,1,5]=>[6,3,4,5,7,1,2]=>100010 [2,3,6,4,5,1,7]=>[2,6,3,4,5,1,7]=>[6,1,3,4,5,2,7]=>100010 [2,3,6,4,5,7,1]=>[2,6,3,4,5,7,1]=>[7,1,3,4,5,2,6]=>100010 [2,3,6,4,7,1,5]=>[2,6,3,4,1,7,5]=>[5,1,3,4,7,2,6]=>100010 [2,3,6,4,7,5,1]=>[6,7,2,3,4,5,1]=>[7,3,4,5,6,1,2]=>100010 [2,3,6,5,1,4,7]=>[2,6,3,1,5,4,7]=>[4,1,3,6,5,2,7]=>100110 [2,3,6,5,1,7,4]=>[6,5,2,3,7,1,4]=>[6,3,4,7,2,1,5]=>100110 [2,3,6,5,4,1,7]=>[6,5,2,3,4,1,7]=>[6,3,4,5,2,1,7]=>100110 [2,3,6,5,4,7,1]=>[6,5,2,3,4,7,1]=>[7,3,4,5,2,1,6]=>100110 [2,3,6,5,7,1,4]=>[2,6,3,1,5,7,4]=>[4,1,3,7,5,2,6]=>100110 [2,3,6,5,7,4,1]=>[6,5,2,3,7,4,1]=>[7,3,4,6,2,1,5]=>100110 [2,3,6,7,1,4,5]=>[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6]=>100010 [2,3,6,7,1,5,4]=>[6,2,3,1,7,5,4]=>[4,2,3,7,6,1,5]=>100110 [2,3,6,7,4,1,5]=>[2,6,3,4,7,1,5]=>[6,1,3,4,7,2,5]=>100010 [2,3,6,7,4,5,1]=>[2,6,3,4,7,5,1]=>[7,1,3,4,6,2,5]=>100010 [2,3,6,7,5,1,4]=>[2,6,3,1,7,5,4]=>[4,1,3,7,6,2,5]=>100110 [2,3,6,7,5,4,1]=>[6,7,2,3,5,4,1]=>[7,3,4,6,5,1,2]=>100110 [2,3,7,1,4,5,6]=>[2,3,1,4,5,7,6]=>[3,1,2,4,5,7,6]=>100001 [2,3,7,1,4,6,5]=>[7,2,3,1,4,6,5]=>[4,2,3,5,7,6,1]=>100011 [2,3,7,1,5,4,6]=>[2,7,3,1,5,4,6]=>[4,1,3,6,5,7,2]=>100101 [2,3,7,1,5,6,4]=>[5,2,3,1,7,6,4]=>[4,2,3,7,1,6,5]=>100101 [2,3,7,1,6,4,5]=>[2,7,3,1,4,6,5]=>[4,1,3,5,7,6,2]=>100011 [2,3,7,1,6,5,4]=>[7,6,2,3,1,5,4]=>[5,3,4,7,6,2,1]=>100111 [2,3,7,4,1,5,6]=>[2,3,7,4,1,5,6]=>[5,1,2,4,6,7,3]=>100001 [2,3,7,4,1,6,5]=>[7,2,6,3,4,1,5]=>[6,2,4,5,7,3,1]=>100011 [2,3,7,4,5,1,6]=>[2,3,7,4,5,1,6]=>[6,1,2,4,5,7,3]=>100001 [2,3,7,4,5,6,1]=>[2,3,7,4,5,6,1]=>[7,1,2,4,5,6,3]=>100001 [2,3,7,4,6,1,5]=>[2,3,7,4,1,6,5]=>[5,1,2,4,7,6,3]=>100011 [2,3,7,4,6,5,1]=>[7,2,6,3,4,5,1]=>[7,2,4,5,6,3,1]=>100011 [2,3,7,5,1,4,6]=>[2,3,7,1,5,4,6]=>[4,1,2,6,5,7,3]=>100101 [2,3,7,5,1,6,4]=>[7,2,5,3,6,1,4]=>[6,2,4,7,3,5,1]=>100101 [2,3,7,5,4,1,6]=>[5,7,2,3,4,1,6]=>[6,3,4,5,1,7,2]=>100101 [2,3,7,5,4,6,1]=>[5,7,2,3,4,6,1]=>[7,3,4,5,1,6,2]=>100101 [2,3,7,5,6,1,4]=>[2,3,7,1,5,6,4]=>[4,1,2,7,5,6,3]=>100101 [2,3,7,5,6,4,1]=>[7,2,5,3,6,4,1]=>[7,2,4,6,3,5,1]=>100101 [2,3,7,6,1,4,5]=>[2,3,7,1,4,6,5]=>[4,1,2,5,7,6,3]=>100011 [2,3,7,6,1,5,4]=>[7,2,6,3,1,5,4]=>[5,2,4,7,6,3,1]=>100111 [2,3,7,6,4,1,5]=>[2,7,6,3,4,1,5]=>[6,1,4,5,7,3,2]=>100011 [2,3,7,6,4,5,1]=>[2,7,6,3,4,5,1]=>[7,1,4,5,6,3,2]=>100011 [2,3,7,6,5,1,4]=>[2,7,6,3,1,5,4]=>[5,1,4,7,6,3,2]=>100111 [2,3,7,6,5,4,1]=>[7,6,5,2,3,4,1]=>[7,4,5,6,3,2,1]=>100111 [2,4,1,3,5,6,7]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>101000 [2,4,1,3,5,7,6]=>[7,2,1,4,3,5,6]=>[3,2,5,4,6,7,1]=>101001 [2,4,1,3,6,5,7]=>[6,2,1,4,3,5,7]=>[3,2,5,4,6,1,7]=>101010 [2,4,1,3,6,7,5]=>[6,2,1,4,3,7,5]=>[3,2,5,4,7,1,6]=>101010 [2,4,1,3,7,5,6]=>[2,7,1,4,3,5,6]=>[3,1,5,4,6,7,2]=>101001 [2,4,1,3,7,6,5]=>[7,6,2,1,4,3,5]=>[4,3,6,5,7,2,1]=>101011 [2,4,1,5,3,6,7]=>[4,2,5,1,3,6,7]=>[4,2,5,1,3,6,7]=>101000 [2,4,1,5,3,7,6]=>[7,4,2,5,1,3,6]=>[5,3,6,2,4,7,1]=>101001 [2,4,1,5,6,3,7]=>[4,2,5,1,6,3,7]=>[4,2,6,1,3,5,7]=>101000 [2,4,1,5,6,7,3]=>[4,2,5,1,6,7,3]=>[4,2,7,1,3,5,6]=>101000 [2,4,1,5,7,3,6]=>[4,2,5,1,3,7,6]=>[4,2,5,1,3,7,6]=>101001 [2,4,1,5,7,6,3]=>[7,4,2,5,1,6,3]=>[5,3,7,2,4,6,1]=>101001 [2,4,1,6,3,5,7]=>[4,2,1,6,3,5,7]=>[3,2,5,1,6,4,7]=>101010 [2,4,1,6,3,7,5]=>[6,4,2,7,1,3,5]=>[5,3,6,2,7,1,4]=>101010 [2,4,1,6,5,3,7]=>[6,4,2,5,1,3,7]=>[5,3,6,2,4,1,7]=>101010 [2,4,1,6,5,7,3]=>[6,4,2,5,1,7,3]=>[5,3,7,2,4,1,6]=>101010 [2,4,1,6,7,3,5]=>[4,2,1,6,3,7,5]=>[3,2,5,1,7,4,6]=>101010 [2,4,1,6,7,5,3]=>[6,4,2,7,1,5,3]=>[5,3,7,2,6,1,4]=>101010 [2,4,1,7,3,5,6]=>[4,2,1,3,7,5,6]=>[3,2,4,1,6,7,5]=>101001 [2,4,1,7,3,6,5]=>[7,4,2,1,6,3,5]=>[4,3,6,2,7,5,1]=>101011 [2,4,1,7,5,3,6]=>[4,7,2,5,1,3,6]=>[5,3,6,1,4,7,2]=>101001 [2,4,1,7,5,6,3]=>[7,2,4,5,1,6,3]=>[5,2,7,3,4,6,1]=>101001 [2,4,1,7,6,3,5]=>[4,7,2,1,6,3,5]=>[4,3,6,1,7,5,2]=>101011 [2,4,1,7,6,5,3]=>[7,6,4,2,5,1,3]=>[6,4,7,3,5,2,1]=>101011 [2,4,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>101000 [2,4,3,1,5,7,6]=>[7,4,2,3,1,5,6]=>[5,3,4,2,6,7,1]=>101001 [2,4,3,1,6,5,7]=>[6,4,2,3,1,5,7]=>[5,3,4,2,6,1,7]=>101010 [2,4,3,1,6,7,5]=>[6,4,2,3,1,7,5]=>[5,3,4,2,7,1,6]=>101010 [2,4,3,1,7,5,6]=>[4,7,2,3,1,5,6]=>[5,3,4,1,6,7,2]=>101001 [2,4,3,1,7,6,5]=>[7,6,4,2,3,1,5]=>[6,4,5,3,7,2,1]=>101011 [2,4,3,5,1,6,7]=>[4,2,3,5,1,6,7]=>[5,2,3,1,4,6,7]=>101000 [2,4,3,5,1,7,6]=>[7,4,2,3,5,1,6]=>[6,3,4,2,5,7,1]=>101001 [2,4,3,5,6,1,7]=>[4,2,3,5,6,1,7]=>[6,2,3,1,4,5,7]=>101000 [2,4,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>[7,2,3,1,4,5,6]=>101000 [2,4,3,5,7,1,6]=>[4,2,3,5,1,7,6]=>[5,2,3,1,4,7,6]=>101001 [2,4,3,5,7,6,1]=>[7,4,2,3,5,6,1]=>[7,3,4,2,5,6,1]=>101001 [2,4,3,6,1,5,7]=>[4,2,3,1,6,5,7]=>[4,2,3,1,6,5,7]=>101010 [2,4,3,6,1,7,5]=>[6,4,2,3,7,1,5]=>[6,3,4,2,7,1,5]=>101010 [2,4,3,6,5,1,7]=>[6,4,2,3,5,1,7]=>[6,3,4,2,5,1,7]=>101010 [2,4,3,6,5,7,1]=>[6,4,2,3,5,7,1]=>[7,3,4,2,5,1,6]=>101010 [2,4,3,6,7,1,5]=>[4,2,3,1,6,7,5]=>[4,2,3,1,7,5,6]=>101010 [2,4,3,6,7,5,1]=>[6,4,2,3,7,5,1]=>[7,3,4,2,6,1,5]=>101010 [2,4,3,7,1,5,6]=>[4,2,3,1,5,7,6]=>[4,2,3,1,5,7,6]=>101001 [2,4,3,7,1,6,5]=>[7,4,2,3,1,6,5]=>[5,3,4,2,7,6,1]=>101011 [2,4,3,7,5,1,6]=>[4,7,2,3,5,1,6]=>[6,3,4,1,5,7,2]=>101001 [2,4,3,7,5,6,1]=>[4,7,2,3,5,6,1]=>[7,3,4,1,5,6,2]=>101001 [2,4,3,7,6,1,5]=>[4,7,2,3,1,6,5]=>[5,3,4,1,7,6,2]=>101011 [2,4,3,7,6,5,1]=>[7,6,4,2,3,5,1]=>[7,4,5,3,6,2,1]=>101011 [2,4,5,1,3,6,7]=>[2,1,4,5,3,6,7]=>[2,1,5,3,4,6,7]=>101000 [2,4,5,1,3,7,6]=>[7,2,1,4,5,3,6]=>[3,2,6,4,5,7,1]=>101001 [2,4,5,1,6,3,7]=>[4,2,5,6,1,3,7]=>[5,2,6,1,3,4,7]=>101000 [2,4,5,1,6,7,3]=>[4,2,5,6,1,7,3]=>[5,2,7,1,3,4,6]=>101000 [2,4,5,1,7,3,6]=>[4,2,5,1,7,3,6]=>[4,2,6,1,3,7,5]=>101001 [2,4,5,1,7,6,3]=>[7,4,2,5,6,1,3]=>[6,3,7,2,4,5,1]=>101001 [2,4,5,3,1,6,7]=>[4,2,5,3,1,6,7]=>[5,2,4,1,3,6,7]=>101000 [2,4,5,3,1,7,6]=>[7,4,2,5,3,1,6]=>[6,3,5,2,4,7,1]=>101001 [2,4,5,3,6,1,7]=>[4,2,5,3,6,1,7]=>[6,2,4,1,3,5,7]=>101000 [2,4,5,3,6,7,1]=>[4,2,5,3,6,7,1]=>[7,2,4,1,3,5,6]=>101000 [2,4,5,3,7,1,6]=>[4,2,5,3,1,7,6]=>[5,2,4,1,3,7,6]=>101001 [2,4,5,3,7,6,1]=>[7,4,2,5,3,6,1]=>[7,3,5,2,4,6,1]=>101001 [2,4,5,6,1,3,7]=>[2,1,4,5,6,3,7]=>[2,1,6,3,4,5,7]=>101000 [2,4,5,6,1,7,3]=>[4,2,5,6,7,1,3]=>[6,2,7,1,3,4,5]=>101000 [2,4,5,6,3,1,7]=>[4,2,5,6,3,1,7]=>[6,2,5,1,3,4,7]=>101000 [2,4,5,6,3,7,1]=>[4,2,5,6,3,7,1]=>[7,2,5,1,3,4,6]=>101000 [2,4,5,6,7,1,3]=>[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6]=>101000 [2,4,5,6,7,3,1]=>[4,2,5,6,7,3,1]=>[7,2,6,1,3,4,5]=>101000 [2,4,5,7,1,3,6]=>[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6]=>101001 [2,4,5,7,1,6,3]=>[4,2,5,7,1,6,3]=>[5,2,7,1,3,6,4]=>101001 [2,4,5,7,3,1,6]=>[4,2,5,3,7,1,6]=>[6,2,4,1,3,7,5]=>101001 [2,4,5,7,3,6,1]=>[4,2,5,3,7,6,1]=>[7,2,4,1,3,6,5]=>101001 [2,4,5,7,6,1,3]=>[2,7,1,4,5,6,3]=>[3,1,7,4,5,6,2]=>101001 [2,4,5,7,6,3,1]=>[7,4,2,5,6,3,1]=>[7,3,6,2,4,5,1]=>101001 [2,4,6,1,3,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>101010 [2,4,6,1,3,7,5]=>[6,2,1,4,7,3,5]=>[3,2,6,4,7,1,5]=>101010 [2,4,6,1,5,3,7]=>[4,2,6,1,5,3,7]=>[4,2,6,1,5,3,7]=>101010 [2,4,6,1,5,7,3]=>[4,2,6,1,5,7,3]=>[4,2,7,1,5,3,6]=>101010 [2,4,6,1,7,3,5]=>[4,2,1,6,7,3,5]=>[3,2,6,1,7,4,5]=>101010 [2,4,6,1,7,5,3]=>[6,4,2,7,5,1,3]=>[6,3,7,2,5,1,4]=>101010 [2,4,6,3,1,5,7]=>[4,2,3,6,1,5,7]=>[5,2,3,1,6,4,7]=>101010 [2,4,6,3,1,7,5]=>[6,4,2,7,3,1,5]=>[6,3,5,2,7,1,4]=>101010 [2,4,6,3,5,1,7]=>[4,2,3,6,5,1,7]=>[6,2,3,1,5,4,7]=>101010 [2,4,6,3,5,7,1]=>[4,2,3,6,5,7,1]=>[7,2,3,1,5,4,6]=>101010 [2,4,6,3,7,1,5]=>[4,2,3,6,1,7,5]=>[5,2,3,1,7,4,6]=>101010 [2,4,6,3,7,5,1]=>[6,4,2,7,3,5,1]=>[7,3,5,2,6,1,4]=>101010 [2,4,6,5,1,3,7]=>[2,6,1,4,5,3,7]=>[3,1,6,4,5,2,7]=>101010 [2,4,6,5,1,7,3]=>[6,4,2,5,7,1,3]=>[6,3,7,2,4,1,5]=>101010 [2,4,6,5,3,1,7]=>[6,4,2,5,3,1,7]=>[6,3,5,2,4,1,7]=>101010 [2,4,6,5,3,7,1]=>[6,4,2,5,3,7,1]=>[7,3,5,2,4,1,6]=>101010 [2,4,6,5,7,1,3]=>[2,6,1,4,5,7,3]=>[3,1,7,4,5,2,6]=>101010 [2,4,6,5,7,3,1]=>[6,4,2,5,7,3,1]=>[7,3,6,2,4,1,5]=>101010 [2,4,6,7,1,3,5]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,5,6]=>101010 [2,4,6,7,1,5,3]=>[4,2,6,1,7,5,3]=>[4,2,7,1,6,3,5]=>101010 [2,4,6,7,3,1,5]=>[4,2,3,6,7,1,5]=>[6,2,3,1,7,4,5]=>101010 [2,4,6,7,3,5,1]=>[4,2,3,6,7,5,1]=>[7,2,3,1,6,4,5]=>101010 [2,4,6,7,5,1,3]=>[2,6,1,4,7,5,3]=>[3,1,7,4,6,2,5]=>101010 [2,4,6,7,5,3,1]=>[6,4,2,7,5,3,1]=>[7,3,6,2,5,1,4]=>101010 [2,4,7,1,3,5,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>101001 [2,4,7,1,3,6,5]=>[7,2,1,4,3,6,5]=>[3,2,5,4,7,6,1]=>101011 [2,4,7,1,5,3,6]=>[4,2,1,7,5,3,6]=>[3,2,6,1,5,7,4]=>101001 [2,4,7,1,5,6,3]=>[4,2,5,1,7,6,3]=>[4,2,7,1,3,6,5]=>101001 [2,4,7,1,6,3,5]=>[4,2,1,7,3,6,5]=>[3,2,5,1,7,6,4]=>101011 [2,4,7,1,6,5,3]=>[7,4,2,6,1,5,3]=>[5,3,7,2,6,4,1]=>101011 [2,4,7,3,1,5,6]=>[4,2,3,1,7,5,6]=>[4,2,3,1,6,7,5]=>101001 [2,4,7,3,1,6,5]=>[7,4,2,3,6,1,5]=>[6,3,4,2,7,5,1]=>101011 [2,4,7,3,5,1,6]=>[4,2,3,5,7,1,6]=>[6,2,3,1,4,7,5]=>101001 [2,4,7,3,5,6,1]=>[4,2,3,5,7,6,1]=>[7,2,3,1,4,6,5]=>101001 [2,4,7,3,6,1,5]=>[4,2,3,1,7,6,5]=>[4,2,3,1,7,6,5]=>101011 [2,4,7,3,6,5,1]=>[7,4,2,3,6,5,1]=>[7,3,4,2,6,5,1]=>101011 [2,4,7,5,1,3,6]=>[2,1,7,4,5,3,6]=>[2,1,6,4,5,7,3]=>101001 [2,4,7,5,1,6,3]=>[7,2,4,5,6,1,3]=>[6,2,7,3,4,5,1]=>101001 [2,4,7,5,3,1,6]=>[4,7,2,5,3,1,6]=>[6,3,5,1,4,7,2]=>101001 [2,4,7,5,3,6,1]=>[4,7,2,5,3,6,1]=>[7,3,5,1,4,6,2]=>101001 [2,4,7,5,6,1,3]=>[2,1,7,4,5,6,3]=>[2,1,7,4,5,6,3]=>101001 [2,4,7,5,6,3,1]=>[7,2,4,5,6,3,1]=>[7,2,6,3,4,5,1]=>101001 [2,4,7,6,1,3,5]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3]=>101011 [2,4,7,6,1,5,3]=>[7,2,4,6,1,5,3]=>[5,2,7,3,6,4,1]=>101011 [2,4,7,6,3,1,5]=>[4,7,2,3,6,1,5]=>[6,3,4,1,7,5,2]=>101011 [2,4,7,6,3,5,1]=>[4,7,2,3,6,5,1]=>[7,3,4,1,6,5,2]=>101011 [2,4,7,6,5,1,3]=>[2,7,6,1,4,5,3]=>[4,1,7,5,6,3,2]=>101011 [2,4,7,6,5,3,1]=>[7,6,4,2,5,3,1]=>[7,4,6,3,5,2,1]=>101011 [2,5,1,3,4,6,7]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>100100 [2,5,1,3,4,7,6]=>[7,2,1,3,5,4,6]=>[3,2,4,6,5,7,1]=>100101 [2,5,1,3,6,4,7]=>[5,2,1,6,3,4,7]=>[3,2,5,6,1,4,7]=>100100 [2,5,1,3,6,7,4]=>[5,2,1,6,3,7,4]=>[3,2,5,7,1,4,6]=>100100 [2,5,1,3,7,4,6]=>[5,2,1,3,7,4,6]=>[3,2,4,6,1,7,5]=>100101 [2,5,1,3,7,6,4]=>[7,5,2,1,6,3,4]=>[4,3,6,7,2,5,1]=>100101 [2,5,1,4,3,6,7]=>[5,2,1,4,3,6,7]=>[3,2,5,4,1,6,7]=>101100 [2,5,1,4,3,7,6]=>[7,5,2,1,4,3,6]=>[4,3,6,5,2,7,1]=>101101 [2,5,1,4,6,3,7]=>[5,2,1,4,6,3,7]=>[3,2,6,4,1,5,7]=>101100 [2,5,1,4,6,7,3]=>[5,2,1,4,6,7,3]=>[3,2,7,4,1,5,6]=>101100 [2,5,1,4,7,3,6]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]=>101101 [2,5,1,4,7,6,3]=>[7,5,2,1,4,6,3]=>[4,3,7,5,2,6,1]=>101101 [2,5,1,6,3,4,7]=>[2,5,1,6,3,4,7]=>[3,1,5,6,2,4,7]=>100100 [2,5,1,6,3,7,4]=>[5,6,2,7,1,3,4]=>[5,3,6,7,1,2,4]=>100100 [2,5,1,6,4,3,7]=>[5,6,2,4,1,3,7]=>[5,3,6,4,1,2,7]=>101100 [2,5,1,6,4,7,3]=>[5,6,2,4,1,7,3]=>[5,3,7,4,1,2,6]=>101100 [2,5,1,6,7,3,4]=>[2,5,1,6,3,7,4]=>[3,1,5,7,2,4,6]=>100100 [2,5,1,6,7,4,3]=>[5,6,2,7,1,4,3]=>[5,3,7,6,1,2,4]=>101100 [2,5,1,7,3,4,6]=>[2,5,1,3,7,4,6]=>[3,1,4,6,2,7,5]=>100101 [2,5,1,7,3,6,4]=>[5,7,2,1,6,3,4]=>[4,3,6,7,1,5,2]=>100101 [2,5,1,7,4,3,6]=>[5,2,7,4,1,3,6]=>[5,2,6,4,1,7,3]=>101101 [2,5,1,7,4,6,3]=>[5,7,2,1,4,6,3]=>[4,3,7,5,1,6,2]=>101101 [2,5,1,7,6,3,4]=>[2,7,5,1,6,3,4]=>[4,1,6,7,3,5,2]=>100101 [2,5,1,7,6,4,3]=>[7,5,6,2,4,1,3]=>[6,4,7,5,2,3,1]=>101101 [2,5,3,1,4,6,7]=>[2,5,3,1,4,6,7]=>[4,1,3,5,2,6,7]=>100100 [2,5,3,1,4,7,6]=>[7,2,5,3,1,4,6]=>[5,2,4,6,3,7,1]=>100101 [2,5,3,1,6,4,7]=>[5,6,2,3,1,4,7]=>[5,3,4,6,1,2,7]=>100100 [2,5,3,1,6,7,4]=>[5,6,2,3,1,7,4]=>[5,3,4,7,1,2,6]=>100100 [2,5,3,1,7,4,6]=>[5,2,7,3,1,4,6]=>[5,2,4,6,1,7,3]=>100101 [2,5,3,1,7,6,4]=>[7,5,6,2,3,1,4]=>[6,4,5,7,2,3,1]=>100101 [2,5,3,4,1,6,7]=>[2,5,3,4,1,6,7]=>[5,1,3,4,2,6,7]=>100100 [2,5,3,4,1,7,6]=>[7,2,5,3,4,1,6]=>[6,2,4,5,3,7,1]=>100101 [2,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]=>[6,1,3,4,2,5,7]=>100100 [2,5,3,4,6,7,1]=>[2,5,3,4,6,7,1]=>[7,1,3,4,2,5,6]=>100100 [2,5,3,4,7,1,6]=>[2,5,3,4,1,7,6]=>[5,1,3,4,2,7,6]=>100101 [2,5,3,4,7,6,1]=>[7,2,5,3,4,6,1]=>[7,2,4,5,3,6,1]=>100101 [2,5,3,6,1,4,7]=>[2,5,3,1,6,4,7]=>[4,1,3,6,2,5,7]=>100100 [2,5,3,6,1,7,4]=>[5,6,2,3,7,1,4]=>[6,3,4,7,1,2,5]=>100100 [2,5,3,6,4,1,7]=>[5,6,2,3,4,1,7]=>[6,3,4,5,1,2,7]=>100100 [2,5,3,6,4,7,1]=>[5,6,2,3,4,7,1]=>[7,3,4,5,1,2,6]=>100100 [2,5,3,6,7,1,4]=>[2,5,3,1,6,7,4]=>[4,1,3,7,2,5,6]=>100100 [2,5,3,6,7,4,1]=>[5,6,2,3,7,4,1]=>[7,3,4,6,1,2,5]=>100100 [2,5,3,7,1,4,6]=>[2,5,3,1,4,7,6]=>[4,1,3,5,2,7,6]=>100101 [2,5,3,7,1,6,4]=>[5,7,2,3,1,6,4]=>[5,3,4,7,1,6,2]=>100101 [2,5,3,7,4,1,6]=>[5,2,7,3,4,1,6]=>[6,2,4,5,1,7,3]=>100101 [2,5,3,7,4,6,1]=>[5,2,7,3,4,6,1]=>[7,2,4,5,1,6,3]=>100101 [2,5,3,7,6,1,4]=>[2,7,5,3,1,6,4]=>[5,1,4,7,3,6,2]=>100101 [2,5,3,7,6,4,1]=>[7,5,6,2,3,4,1]=>[7,4,5,6,2,3,1]=>100101 [2,5,4,1,3,6,7]=>[2,5,1,4,3,6,7]=>[3,1,5,4,2,6,7]=>101100 [2,5,4,1,3,7,6]=>[7,2,5,1,4,3,6]=>[4,2,6,5,3,7,1]=>101101 [2,5,4,1,6,3,7]=>[5,4,2,6,1,3,7]=>[5,3,6,2,1,4,7]=>101100 [2,5,4,1,6,7,3]=>[5,4,2,6,1,7,3]=>[5,3,7,2,1,4,6]=>101100 [2,5,4,1,7,3,6]=>[5,4,2,1,7,3,6]=>[4,3,6,2,1,7,5]=>101101 [2,5,4,1,7,6,3]=>[7,5,4,2,6,1,3]=>[6,4,7,3,2,5,1]=>101101 [2,5,4,3,1,6,7]=>[5,4,2,3,1,6,7]=>[5,3,4,2,1,6,7]=>101100 [2,5,4,3,1,7,6]=>[7,5,4,2,3,1,6]=>[6,4,5,3,2,7,1]=>101101 [2,5,4,3,6,1,7]=>[5,4,2,3,6,1,7]=>[6,3,4,2,1,5,7]=>101100 [2,5,4,3,6,7,1]=>[5,4,2,3,6,7,1]=>[7,3,4,2,1,5,6]=>101100 [2,5,4,3,7,1,6]=>[5,4,2,3,1,7,6]=>[5,3,4,2,1,7,6]=>101101 [2,5,4,3,7,6,1]=>[7,5,4,2,3,6,1]=>[7,4,5,3,2,6,1]=>101101 [2,5,4,6,1,3,7]=>[2,5,1,4,6,3,7]=>[3,1,6,4,2,5,7]=>101100 [2,5,4,6,1,7,3]=>[5,4,2,6,7,1,3]=>[6,3,7,2,1,4,5]=>101100 [2,5,4,6,3,1,7]=>[5,4,2,6,3,1,7]=>[6,3,5,2,1,4,7]=>101100 [2,5,4,6,3,7,1]=>[5,4,2,6,3,7,1]=>[7,3,5,2,1,4,6]=>101100 [2,5,4,6,7,1,3]=>[2,5,1,4,6,7,3]=>[3,1,7,4,2,5,6]=>101100 [2,5,4,6,7,3,1]=>[5,4,2,6,7,3,1]=>[7,3,6,2,1,4,5]=>101100 [2,5,4,7,1,3,6]=>[2,5,1,4,3,7,6]=>[3,1,5,4,2,7,6]=>101101 [2,5,4,7,1,6,3]=>[5,4,2,7,1,6,3]=>[5,3,7,2,1,6,4]=>101101 [2,5,4,7,3,1,6]=>[5,4,2,3,7,1,6]=>[6,3,4,2,1,7,5]=>101101 [2,5,4,7,3,6,1]=>[5,4,2,3,7,6,1]=>[7,3,4,2,1,6,5]=>101101 [2,5,4,7,6,1,3]=>[2,7,5,1,4,6,3]=>[4,1,7,5,3,6,2]=>101101 [2,5,4,7,6,3,1]=>[7,5,4,2,6,3,1]=>[7,4,6,3,2,5,1]=>101101 [2,5,6,1,3,4,7]=>[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7]=>100100 [2,5,6,1,3,7,4]=>[5,2,1,6,7,3,4]=>[3,2,6,7,1,4,5]=>100100 [2,5,6,1,4,3,7]=>[5,2,1,6,4,3,7]=>[3,2,6,5,1,4,7]=>101100 [2,5,6,1,4,7,3]=>[5,2,1,6,4,7,3]=>[3,2,7,5,1,4,6]=>101100 [2,5,6,1,7,3,4]=>[2,5,1,6,7,3,4]=>[3,1,6,7,2,4,5]=>100100 [2,5,6,1,7,4,3]=>[5,6,2,7,4,1,3]=>[6,3,7,5,1,2,4]=>101100 [2,5,6,3,1,4,7]=>[2,5,3,6,1,4,7]=>[5,1,3,6,2,4,7]=>100100 [2,5,6,3,1,7,4]=>[5,6,2,7,3,1,4]=>[6,3,5,7,1,2,4]=>100100 [2,5,6,3,4,1,7]=>[2,5,3,6,4,1,7]=>[6,1,3,5,2,4,7]=>100100 [2,5,6,3,4,7,1]=>[2,5,3,6,4,7,1]=>[7,1,3,5,2,4,6]=>100100 [2,5,6,3,7,1,4]=>[2,5,3,6,1,7,4]=>[5,1,3,7,2,4,6]=>100100 [2,5,6,3,7,4,1]=>[5,6,2,7,3,4,1]=>[7,3,5,6,1,2,4]=>100100 [2,5,6,4,1,3,7]=>[2,5,1,6,4,3,7]=>[3,1,6,5,2,4,7]=>101100 [2,5,6,4,1,7,3]=>[5,6,2,4,7,1,3]=>[6,3,7,4,1,2,5]=>101100 [2,5,6,4,3,1,7]=>[5,6,2,4,3,1,7]=>[6,3,5,4,1,2,7]=>101100 [2,5,6,4,3,7,1]=>[5,6,2,4,3,7,1]=>[7,3,5,4,1,2,6]=>101100 [2,5,6,4,7,1,3]=>[2,5,1,6,4,7,3]=>[3,1,7,5,2,4,6]=>101100 [2,5,6,4,7,3,1]=>[5,6,2,4,7,3,1]=>[7,3,6,4,1,2,5]=>101100 [2,5,6,7,1,3,4]=>[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6]=>100100 [2,5,6,7,1,4,3]=>[5,2,1,6,7,4,3]=>[3,2,7,6,1,4,5]=>101100 [2,5,6,7,3,1,4]=>[2,5,3,6,7,1,4]=>[6,1,3,7,2,4,5]=>100100 [2,5,6,7,3,4,1]=>[2,5,3,6,7,4,1]=>[7,1,3,6,2,4,5]=>100100 [2,5,6,7,4,1,3]=>[2,5,1,6,7,4,3]=>[3,1,7,6,2,4,5]=>101100 [2,5,6,7,4,3,1]=>[5,6,2,7,4,3,1]=>[7,3,6,5,1,2,4]=>101100 [2,5,7,1,3,4,6]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>100101 [2,5,7,1,3,6,4]=>[5,2,1,7,3,6,4]=>[3,2,5,7,1,6,4]=>100101 [2,5,7,1,4,3,6]=>[5,2,1,4,7,3,6]=>[3,2,6,4,1,7,5]=>101101 [2,5,7,1,4,6,3]=>[5,2,1,4,7,6,3]=>[3,2,7,4,1,6,5]=>101101 [2,5,7,1,6,3,4]=>[2,5,1,7,3,6,4]=>[3,1,5,7,2,6,4]=>100101 [2,5,7,1,6,4,3]=>[5,7,2,6,1,4,3]=>[5,3,7,6,1,4,2]=>101101 [2,5,7,3,1,4,6]=>[2,5,3,1,7,4,6]=>[4,1,3,6,2,7,5]=>100101 [2,5,7,3,1,6,4]=>[5,7,2,3,6,1,4]=>[6,3,4,7,1,5,2]=>100101 [2,5,7,3,4,1,6]=>[2,5,3,4,7,1,6]=>[6,1,3,4,2,7,5]=>100101 [2,5,7,3,4,6,1]=>[2,5,3,4,7,6,1]=>[7,1,3,4,2,6,5]=>100101 [2,5,7,3,6,1,4]=>[2,5,3,1,7,6,4]=>[4,1,3,7,2,6,5]=>100101 [2,5,7,3,6,4,1]=>[5,7,2,3,6,4,1]=>[7,3,4,6,1,5,2]=>100101 [2,5,7,4,1,3,6]=>[2,5,1,4,7,3,6]=>[3,1,6,4,2,7,5]=>101101 [2,5,7,4,1,6,3]=>[5,4,2,7,6,1,3]=>[6,3,7,2,1,5,4]=>101101 [2,5,7,4,3,1,6]=>[5,2,7,4,3,1,6]=>[6,2,5,4,1,7,3]=>101101 [2,5,7,4,3,6,1]=>[5,2,7,4,3,6,1]=>[7,2,5,4,1,6,3]=>101101 [2,5,7,4,6,1,3]=>[2,5,1,4,7,6,3]=>[3,1,7,4,2,6,5]=>101101 [2,5,7,4,6,3,1]=>[5,4,2,7,6,3,1]=>[7,3,6,2,1,5,4]=>101101 [2,5,7,6,1,3,4]=>[2,1,7,3,5,6,4]=>[2,1,4,7,5,6,3]=>100101 [2,5,7,6,1,4,3]=>[7,2,5,1,6,4,3]=>[4,2,7,6,3,5,1]=>101101 [2,5,7,6,3,1,4]=>[2,7,5,3,6,1,4]=>[6,1,4,7,3,5,2]=>100101 [2,5,7,6,3,4,1]=>[2,7,5,3,6,4,1]=>[7,1,4,6,3,5,2]=>100101 [2,5,7,6,4,1,3]=>[2,7,5,1,6,4,3]=>[4,1,7,6,3,5,2]=>101101 [2,5,7,6,4,3,1]=>[7,5,6,2,4,3,1]=>[7,4,6,5,2,3,1]=>101101 [2,6,1,3,4,5,7]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>100010 [2,6,1,3,4,7,5]=>[6,2,1,3,7,4,5]=>[3,2,4,6,7,1,5]=>100010 [2,6,1,3,5,4,7]=>[6,2,1,3,5,4,7]=>[3,2,4,6,5,1,7]=>100110 [2,6,1,3,5,7,4]=>[6,2,1,3,5,7,4]=>[3,2,4,7,5,1,6]=>100110 [2,6,1,3,7,4,5]=>[2,6,1,3,7,4,5]=>[3,1,4,6,7,2,5]=>100010 [2,6,1,3,7,5,4]=>[6,7,2,1,5,3,4]=>[4,3,6,7,5,1,2]=>100110 [2,6,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>[3,1,5,4,6,2,7]=>101010 [2,6,1,4,3,7,5]=>[6,7,2,1,4,3,5]=>[4,3,6,5,7,1,2]=>101010 [2,6,1,4,5,3,7]=>[4,2,1,6,5,3,7]=>[3,2,6,1,5,4,7]=>101010 [2,6,1,4,5,7,3]=>[4,2,1,6,5,7,3]=>[3,2,7,1,5,4,6]=>101010 [2,6,1,4,7,3,5]=>[2,6,1,4,3,7,5]=>[3,1,5,4,7,2,6]=>101010 [2,6,1,4,7,5,3]=>[6,7,2,1,4,5,3]=>[4,3,7,5,6,1,2]=>101010 [2,6,1,5,3,4,7]=>[2,6,1,3,5,4,7]=>[3,1,4,6,5,2,7]=>100110 [2,6,1,5,3,7,4]=>[6,5,2,1,7,3,4]=>[4,3,6,7,2,1,5]=>100110 [2,6,1,5,4,3,7]=>[6,5,2,1,4,3,7]=>[4,3,6,5,2,1,7]=>101110 [2,6,1,5,4,7,3]=>[6,5,2,1,4,7,3]=>[4,3,7,5,2,1,6]=>101110 [2,6,1,5,7,3,4]=>[2,6,1,3,5,7,4]=>[3,1,4,7,5,2,6]=>100110 [2,6,1,5,7,4,3]=>[6,5,2,1,7,4,3]=>[4,3,7,6,2,1,5]=>101110 [2,6,1,7,3,4,5]=>[2,1,6,3,7,4,5]=>[2,1,4,6,7,3,5]=>100010 [2,6,1,7,3,5,4]=>[6,2,7,1,5,3,4]=>[4,2,6,7,5,1,3]=>100110 [2,6,1,7,4,3,5]=>[2,6,7,4,1,3,5]=>[5,1,6,4,7,2,3]=>101010 [2,6,1,7,4,5,3]=>[6,2,7,1,4,5,3]=>[4,2,7,5,6,1,3]=>101010 [2,6,1,7,5,3,4]=>[2,6,7,1,5,3,4]=>[4,1,6,7,5,2,3]=>100110 [2,6,1,7,5,4,3]=>[6,7,5,2,4,1,3]=>[6,4,7,5,3,1,2]=>101110 [2,6,3,1,4,5,7]=>[2,3,6,1,4,5,7]=>[4,1,2,5,6,3,7]=>100010 [2,6,3,1,4,7,5]=>[6,2,7,3,1,4,5]=>[5,2,4,6,7,1,3]=>100010 [2,6,3,1,5,4,7]=>[6,2,5,3,1,4,7]=>[5,2,4,6,3,1,7]=>100110 [2,6,3,1,5,7,4]=>[6,2,5,3,1,7,4]=>[5,2,4,7,3,1,6]=>100110 [2,6,3,1,7,4,5]=>[2,6,7,3,1,4,5]=>[5,1,4,6,7,2,3]=>100010 [2,6,3,1,7,5,4]=>[6,7,5,2,3,1,4]=>[6,4,5,7,3,1,2]=>100110 [2,6,3,4,1,5,7]=>[2,3,6,4,1,5,7]=>[5,1,2,4,6,3,7]=>100010 [2,6,3,4,1,7,5]=>[6,2,7,3,4,1,5]=>[6,2,4,5,7,1,3]=>100010 [2,6,3,4,5,1,7]=>[2,3,6,4,5,1,7]=>[6,1,2,4,5,3,7]=>100010 [2,6,3,4,5,7,1]=>[2,3,6,4,5,7,1]=>[7,1,2,4,5,3,6]=>100010 [2,6,3,4,7,1,5]=>[2,3,6,4,1,7,5]=>[5,1,2,4,7,3,6]=>100010 [2,6,3,4,7,5,1]=>[6,2,7,3,4,5,1]=>[7,2,4,5,6,1,3]=>100010 [2,6,3,5,1,4,7]=>[2,3,6,1,5,4,7]=>[4,1,2,6,5,3,7]=>100110 [2,6,3,5,1,7,4]=>[6,2,5,3,7,1,4]=>[6,2,4,7,3,1,5]=>100110 [2,6,3,5,4,1,7]=>[6,2,5,3,4,1,7]=>[6,2,4,5,3,1,7]=>100110 [2,6,3,5,4,7,1]=>[6,2,5,3,4,7,1]=>[7,2,4,5,3,1,6]=>100110 [2,6,3,5,7,1,4]=>[2,3,6,1,5,7,4]=>[4,1,2,7,5,3,6]=>100110 [2,6,3,5,7,4,1]=>[6,2,5,3,7,4,1]=>[7,2,4,6,3,1,5]=>100110 [2,6,3,7,1,4,5]=>[2,3,6,1,4,7,5]=>[4,1,2,5,7,3,6]=>100010 [2,6,3,7,1,5,4]=>[6,2,7,3,1,5,4]=>[5,2,4,7,6,1,3]=>100110 [2,6,3,7,4,1,5]=>[2,6,7,3,4,1,5]=>[6,1,4,5,7,2,3]=>100010 [2,6,3,7,4,5,1]=>[2,6,7,3,4,5,1]=>[7,1,4,5,6,2,3]=>100010 [2,6,3,7,5,1,4]=>[2,6,7,3,1,5,4]=>[5,1,4,7,6,2,3]=>100110 [2,6,3,7,5,4,1]=>[6,7,5,2,3,4,1]=>[7,4,5,6,3,1,2]=>100110 [2,6,4,1,3,5,7]=>[2,1,6,4,3,5,7]=>[2,1,5,4,6,3,7]=>101010 [2,6,4,1,3,7,5]=>[6,2,7,1,4,3,5]=>[4,2,6,5,7,1,3]=>101010 [2,6,4,1,5,3,7]=>[6,2,4,5,1,3,7]=>[5,2,6,3,4,1,7]=>101010 [2,6,4,1,5,7,3]=>[6,2,4,5,1,7,3]=>[5,2,7,3,4,1,6]=>101010 [2,6,4,1,7,3,5]=>[4,6,2,1,7,3,5]=>[4,3,6,1,7,2,5]=>101010 [2,6,4,1,7,5,3]=>[6,7,4,2,5,1,3]=>[6,4,7,3,5,1,2]=>101010 [2,6,4,3,1,5,7]=>[4,6,2,3,1,5,7]=>[5,3,4,1,6,2,7]=>101010 [2,6,4,3,1,7,5]=>[6,7,4,2,3,1,5]=>[6,4,5,3,7,1,2]=>101010 [2,6,4,3,5,1,7]=>[4,6,2,3,5,1,7]=>[6,3,4,1,5,2,7]=>101010 [2,6,4,3,5,7,1]=>[4,6,2,3,5,7,1]=>[7,3,4,1,5,2,6]=>101010 [2,6,4,3,7,1,5]=>[4,6,2,3,1,7,5]=>[5,3,4,1,7,2,6]=>101010 [2,6,4,3,7,5,1]=>[6,7,4,2,3,5,1]=>[7,4,5,3,6,1,2]=>101010 [2,6,4,5,1,3,7]=>[2,1,6,4,5,3,7]=>[2,1,6,4,5,3,7]=>101010 [2,6,4,5,1,7,3]=>[6,2,4,5,7,1,3]=>[6,2,7,3,4,1,5]=>101010 [2,6,4,5,3,1,7]=>[6,2,4,5,3,1,7]=>[6,2,5,3,4,1,7]=>101010 [2,6,4,5,3,7,1]=>[6,2,4,5,3,7,1]=>[7,2,5,3,4,1,6]=>101010 [2,6,4,5,7,1,3]=>[2,1,6,4,5,7,3]=>[2,1,7,4,5,3,6]=>101010 [2,6,4,5,7,3,1]=>[6,2,4,5,7,3,1]=>[7,2,6,3,4,1,5]=>101010 [2,6,4,7,1,3,5]=>[2,1,6,4,3,7,5]=>[2,1,5,4,7,3,6]=>101010 [2,6,4,7,1,5,3]=>[6,2,4,7,1,5,3]=>[5,2,7,3,6,1,4]=>101010 [2,6,4,7,3,1,5]=>[4,6,2,3,7,1,5]=>[6,3,4,1,7,2,5]=>101010 [2,6,4,7,3,5,1]=>[4,6,2,3,7,5,1]=>[7,3,4,1,6,2,5]=>101010 [2,6,4,7,5,1,3]=>[2,6,7,1,4,5,3]=>[4,1,7,5,6,2,3]=>101010 [2,6,4,7,5,3,1]=>[6,7,4,2,5,3,1]=>[7,4,6,3,5,1,2]=>101010 [2,6,5,1,3,4,7]=>[2,1,6,3,5,4,7]=>[2,1,4,6,5,3,7]=>100110 [2,6,5,1,3,7,4]=>[6,2,5,1,7,3,4]=>[4,2,6,7,3,1,5]=>100110 [2,6,5,1,4,3,7]=>[6,2,5,1,4,3,7]=>[4,2,6,5,3,1,7]=>101110 [2,6,5,1,4,7,3]=>[6,2,5,1,4,7,3]=>[4,2,7,5,3,1,6]=>101110 [2,6,5,1,7,3,4]=>[2,6,5,1,7,3,4]=>[4,1,6,7,3,2,5]=>100110 [2,6,5,1,7,4,3]=>[6,5,7,2,4,1,3]=>[6,4,7,5,2,1,3]=>101110 [2,6,5,3,1,4,7]=>[2,6,5,3,1,4,7]=>[5,1,4,6,3,2,7]=>100110 [2,6,5,3,1,7,4]=>[6,5,7,2,3,1,4]=>[6,4,5,7,2,1,3]=>100110 [2,6,5,3,4,1,7]=>[2,6,5,3,4,1,7]=>[6,1,4,5,3,2,7]=>100110 [2,6,5,3,4,7,1]=>[2,6,5,3,4,7,1]=>[7,1,4,5,3,2,6]=>100110 [2,6,5,3,7,1,4]=>[2,6,5,3,1,7,4]=>[5,1,4,7,3,2,6]=>100110 [2,6,5,3,7,4,1]=>[6,5,7,2,3,4,1]=>[7,4,5,6,2,1,3]=>100110 [2,6,5,4,1,3,7]=>[2,6,5,1,4,3,7]=>[4,1,6,5,3,2,7]=>101110 [2,6,5,4,1,7,3]=>[6,5,4,2,7,1,3]=>[6,4,7,3,2,1,5]=>101110 [2,6,5,4,3,1,7]=>[6,5,4,2,3,1,7]=>[6,4,5,3,2,1,7]=>101110 [2,6,5,4,3,7,1]=>[6,5,4,2,3,7,1]=>[7,4,5,3,2,1,6]=>101110 [2,6,5,4,7,1,3]=>[2,6,5,1,4,7,3]=>[4,1,7,5,3,2,6]=>101110 [2,6,5,4,7,3,1]=>[6,5,4,2,7,3,1]=>[7,4,6,3,2,1,5]=>101110 [2,6,5,7,1,3,4]=>[2,1,6,3,5,7,4]=>[2,1,4,7,5,3,6]=>100110 [2,6,5,7,1,4,3]=>[6,2,5,1,7,4,3]=>[4,2,7,6,3,1,5]=>101110 [2,6,5,7,3,1,4]=>[2,6,5,3,7,1,4]=>[6,1,4,7,3,2,5]=>100110 [2,6,5,7,3,4,1]=>[2,6,5,3,7,4,1]=>[7,1,4,6,3,2,5]=>100110 [2,6,5,7,4,1,3]=>[2,6,5,1,7,4,3]=>[4,1,7,6,3,2,5]=>101110 [2,6,5,7,4,3,1]=>[6,5,7,2,4,3,1]=>[7,4,6,5,2,1,3]=>101110 [2,6,7,1,3,4,5]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6]=>100010 [2,6,7,1,3,5,4]=>[6,2,1,3,7,5,4]=>[3,2,4,7,6,1,5]=>100110 [2,6,7,1,4,3,5]=>[2,6,1,4,7,3,5]=>[3,1,6,4,7,2,5]=>101010 [2,6,7,1,4,5,3]=>[4,2,1,6,7,5,3]=>[3,2,7,1,6,4,5]=>101010 [2,6,7,1,5,3,4]=>[2,6,1,3,7,5,4]=>[3,1,4,7,6,2,5]=>100110 [2,6,7,1,5,4,3]=>[6,7,2,1,5,4,3]=>[4,3,7,6,5,1,2]=>101110 [2,6,7,3,1,4,5]=>[2,3,6,1,7,4,5]=>[4,1,2,6,7,3,5]=>100010 [2,6,7,3,1,5,4]=>[6,2,7,3,5,1,4]=>[6,2,4,7,5,1,3]=>100110 [2,6,7,3,4,1,5]=>[2,3,6,4,7,1,5]=>[6,1,2,4,7,3,5]=>100010 [2,6,7,3,4,5,1]=>[2,3,6,4,7,5,1]=>[7,1,2,4,6,3,5]=>100010 [2,6,7,3,5,1,4]=>[2,3,6,1,7,5,4]=>[4,1,2,7,6,3,5]=>100110 [2,6,7,3,5,4,1]=>[6,2,7,3,5,4,1]=>[7,2,4,6,5,1,3]=>100110 [2,6,7,4,1,3,5]=>[2,1,6,4,7,3,5]=>[2,1,6,4,7,3,5]=>101010 [2,6,7,4,1,5,3]=>[6,2,4,7,5,1,3]=>[6,2,7,3,5,1,4]=>101010 [2,6,7,4,3,1,5]=>[2,6,7,4,3,1,5]=>[6,1,5,4,7,2,3]=>101010 [2,6,7,4,3,5,1]=>[2,6,7,4,3,5,1]=>[7,1,5,4,6,2,3]=>101010 [2,6,7,4,5,1,3]=>[2,1,6,4,7,5,3]=>[2,1,7,4,6,3,5]=>101010 [2,6,7,4,5,3,1]=>[6,2,4,7,5,3,1]=>[7,2,6,3,5,1,4]=>101010 [2,6,7,5,1,3,4]=>[2,1,6,3,7,5,4]=>[2,1,4,7,6,3,5]=>100110 [2,6,7,5,1,4,3]=>[6,2,7,1,5,4,3]=>[4,2,7,6,5,1,3]=>101110 [2,6,7,5,3,1,4]=>[2,6,7,3,5,1,4]=>[6,1,4,7,5,2,3]=>100110 [2,6,7,5,3,4,1]=>[2,6,7,3,5,4,1]=>[7,1,4,6,5,2,3]=>100110 [2,6,7,5,4,1,3]=>[2,6,7,1,5,4,3]=>[4,1,7,6,5,2,3]=>101110 [2,6,7,5,4,3,1]=>[6,7,5,2,4,3,1]=>[7,4,6,5,3,1,2]=>101110 [2,7,1,3,4,5,6]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>100001 [2,7,1,3,4,6,5]=>[7,2,1,3,4,6,5]=>[3,2,4,5,7,6,1]=>100011 [2,7,1,3,5,4,6]=>[2,7,1,3,5,4,6]=>[3,1,4,6,5,7,2]=>100101 [2,7,1,3,5,6,4]=>[5,2,1,3,7,6,4]=>[3,2,4,7,1,6,5]=>100101 [2,7,1,3,6,4,5]=>[2,7,1,3,4,6,5]=>[3,1,4,5,7,6,2]=>100011 [2,7,1,3,6,5,4]=>[7,6,2,1,3,5,4]=>[4,3,5,7,6,2,1]=>100111 [2,7,1,4,3,5,6]=>[2,1,7,4,3,5,6]=>[2,1,5,4,6,7,3]=>101001 [2,7,1,4,3,6,5]=>[7,2,6,1,4,3,5]=>[4,2,6,5,7,3,1]=>101011 [2,7,1,4,5,3,6]=>[4,2,1,5,7,3,6]=>[3,2,6,1,4,7,5]=>101001 [2,7,1,4,5,6,3]=>[4,2,1,5,7,6,3]=>[3,2,7,1,4,6,5]=>101001 [2,7,1,4,6,3,5]=>[4,2,1,3,7,6,5]=>[3,2,4,1,7,6,5]=>101011 [2,7,1,4,6,5,3]=>[7,4,2,1,6,5,3]=>[4,3,7,2,6,5,1]=>101011 [2,7,1,5,3,4,6]=>[2,1,7,3,5,4,6]=>[2,1,4,6,5,7,3]=>100101 [2,7,1,5,3,6,4]=>[7,2,5,1,6,3,4]=>[4,2,6,7,3,5,1]=>100101 [2,7,1,5,4,3,6]=>[5,7,2,1,4,3,6]=>[4,3,6,5,1,7,2]=>101101 [2,7,1,5,4,6,3]=>[7,2,5,1,4,6,3]=>[4,2,7,5,3,6,1]=>101101 [2,7,1,5,6,3,4]=>[2,5,1,3,7,6,4]=>[3,1,4,7,2,6,5]=>100101 [2,7,1,5,6,4,3]=>[5,7,2,1,6,4,3]=>[4,3,7,6,1,5,2]=>101101 [2,7,1,6,3,4,5]=>[2,1,7,3,4,6,5]=>[2,1,4,5,7,6,3]=>100011 [2,7,1,6,3,5,4]=>[7,2,6,1,3,5,4]=>[4,2,5,7,6,3,1]=>100111 [2,7,1,6,4,3,5]=>[2,7,6,1,4,3,5]=>[4,1,6,5,7,3,2]=>101011 [2,7,1,6,4,5,3]=>[7,2,4,1,6,5,3]=>[4,2,7,3,6,5,1]=>101011 [2,7,1,6,5,3,4]=>[2,7,6,1,3,5,4]=>[4,1,5,7,6,3,2]=>100111 [2,7,1,6,5,4,3]=>[7,6,5,2,1,4,3]=>[5,4,7,6,3,2,1]=>101111 [2,7,3,1,4,5,6]=>[2,3,1,7,4,5,6]=>[3,1,2,5,6,7,4]=>100001 [2,7,3,1,4,6,5]=>[7,2,3,6,1,4,5]=>[5,2,3,6,7,4,1]=>100011 [2,7,3,1,5,4,6]=>[2,7,5,3,1,4,6]=>[5,1,4,6,3,7,2]=>100101 [2,7,3,1,5,6,4]=>[7,2,3,5,1,6,4]=>[5,2,3,7,4,6,1]=>100101 [2,7,3,1,6,4,5]=>[2,7,3,6,1,4,5]=>[5,1,3,6,7,4,2]=>100011 [2,7,3,1,6,5,4]=>[7,6,2,5,3,1,4]=>[6,3,5,7,4,2,1]=>100111 [2,7,3,4,1,5,6]=>[2,3,4,7,1,5,6]=>[5,1,2,3,6,7,4]=>100001 [2,7,3,4,1,6,5]=>[7,2,3,6,4,1,5]=>[6,2,3,5,7,4,1]=>100011 [2,7,3,4,5,1,6]=>[2,3,4,7,5,1,6]=>[6,1,2,3,5,7,4]=>100001 [2,7,3,4,5,6,1]=>[2,3,4,7,5,6,1]=>[7,1,2,3,5,6,4]=>100001 [2,7,3,4,6,1,5]=>[2,3,4,7,1,6,5]=>[5,1,2,3,7,6,4]=>100011 [2,7,3,4,6,5,1]=>[7,2,3,6,4,5,1]=>[7,2,3,5,6,4,1]=>100011 [2,7,3,5,1,4,6]=>[2,3,1,7,5,4,6]=>[3,1,2,6,5,7,4]=>100101 [2,7,3,5,1,6,4]=>[7,2,3,5,6,1,4]=>[6,2,3,7,4,5,1]=>100101 [2,7,3,5,4,1,6]=>[2,7,5,3,4,1,6]=>[6,1,4,5,3,7,2]=>100101 [2,7,3,5,4,6,1]=>[2,7,5,3,4,6,1]=>[7,1,4,5,3,6,2]=>100101 [2,7,3,5,6,1,4]=>[2,3,1,7,5,6,4]=>[3,1,2,7,5,6,4]=>100101 [2,7,3,5,6,4,1]=>[7,2,3,5,6,4,1]=>[7,2,3,6,4,5,1]=>100101 [2,7,3,6,1,4,5]=>[2,3,1,7,4,6,5]=>[3,1,2,5,7,6,4]=>100011 [2,7,3,6,1,5,4]=>[7,2,3,6,1,5,4]=>[5,2,3,7,6,4,1]=>100111 [2,7,3,6,4,1,5]=>[2,7,3,6,4,1,5]=>[6,1,3,5,7,4,2]=>100011 [2,7,3,6,4,5,1]=>[2,7,3,6,4,5,1]=>[7,1,3,5,6,4,2]=>100011 [2,7,3,6,5,1,4]=>[2,7,3,6,1,5,4]=>[5,1,3,7,6,4,2]=>100111 [2,7,3,6,5,4,1]=>[7,6,2,5,3,4,1]=>[7,3,5,6,4,2,1]=>100111 [2,7,4,1,3,5,6]=>[2,1,4,7,3,5,6]=>[2,1,5,3,6,7,4]=>101001 [2,7,4,1,3,6,5]=>[7,2,1,6,4,3,5]=>[3,2,6,5,7,4,1]=>101011 [2,7,4,1,5,3,6]=>[2,7,4,5,1,3,6]=>[5,1,6,3,4,7,2]=>101001 [2,7,4,1,5,6,3]=>[4,2,7,5,1,6,3]=>[5,2,7,1,4,6,3]=>101001 [2,7,4,1,6,3,5]=>[2,7,4,1,6,3,5]=>[4,1,6,3,7,5,2]=>101011 [2,7,4,1,6,5,3]=>[7,6,2,4,5,1,3]=>[6,3,7,4,5,2,1]=>101011 [2,7,4,3,1,5,6]=>[4,2,7,3,1,5,6]=>[5,2,4,1,6,7,3]=>101001 [2,7,4,3,1,6,5]=>[7,4,6,2,3,1,5]=>[6,4,5,2,7,3,1]=>101011 [2,7,4,3,5,1,6]=>[4,2,7,3,5,1,6]=>[6,2,4,1,5,7,3]=>101001 [2,7,4,3,5,6,1]=>[4,2,7,3,5,6,1]=>[7,2,4,1,5,6,3]=>101001 [2,7,4,3,6,1,5]=>[4,2,7,3,1,6,5]=>[5,2,4,1,7,6,3]=>101011 [2,7,4,3,6,5,1]=>[7,4,6,2,3,5,1]=>[7,4,5,2,6,3,1]=>101011 [2,7,4,5,1,3,6]=>[2,1,4,7,5,3,6]=>[2,1,6,3,5,7,4]=>101001 [2,7,4,5,1,6,3]=>[4,2,7,5,6,1,3]=>[6,2,7,1,4,5,3]=>101001 [2,7,4,5,3,1,6]=>[2,7,4,5,3,1,6]=>[6,1,5,3,4,7,2]=>101001 [2,7,4,5,3,6,1]=>[2,7,4,5,3,6,1]=>[7,1,5,3,4,6,2]=>101001 [2,7,4,5,6,1,3]=>[2,1,4,7,5,6,3]=>[2,1,7,3,5,6,4]=>101001 [2,7,4,5,6,3,1]=>[4,2,7,5,6,3,1]=>[7,2,6,1,4,5,3]=>101001 [2,7,4,6,1,3,5]=>[2,1,4,7,3,6,5]=>[2,1,5,3,7,6,4]=>101011 [2,7,4,6,1,5,3]=>[4,2,7,6,1,5,3]=>[5,2,7,1,6,4,3]=>101011 [2,7,4,6,3,1,5]=>[2,7,4,3,6,1,5]=>[6,1,4,3,7,5,2]=>101011 [2,7,4,6,3,5,1]=>[2,7,4,3,6,5,1]=>[7,1,4,3,6,5,2]=>101011 [2,7,4,6,5,1,3]=>[2,7,1,6,4,5,3]=>[3,1,7,5,6,4,2]=>101011 [2,7,4,6,5,3,1]=>[7,6,2,4,5,3,1]=>[7,3,6,4,5,2,1]=>101011 [2,7,5,1,3,4,6]=>[2,1,3,7,5,4,6]=>[2,1,3,6,5,7,4]=>100101 [2,7,5,1,3,6,4]=>[7,2,1,5,6,3,4]=>[3,2,6,7,4,5,1]=>100101 [2,7,5,1,4,3,6]=>[2,7,5,1,4,3,6]=>[4,1,6,5,3,7,2]=>101101 [2,7,5,1,4,6,3]=>[7,2,1,5,4,6,3]=>[3,2,7,5,4,6,1]=>101101 [2,7,5,1,6,3,4]=>[2,7,1,5,6,3,4]=>[3,1,6,7,4,5,2]=>100101 [2,7,5,1,6,4,3]=>[7,5,2,6,4,1,3]=>[6,3,7,5,2,4,1]=>101101 [2,7,5,3,1,4,6]=>[2,5,7,3,1,4,6]=>[5,1,4,6,2,7,3]=>100101 [2,7,5,3,1,6,4]=>[5,7,6,2,3,1,4]=>[6,4,5,7,1,3,2]=>100101 [2,7,5,3,4,1,6]=>[2,5,7,3,4,1,6]=>[6,1,4,5,2,7,3]=>100101 [2,7,5,3,4,6,1]=>[2,5,7,3,4,6,1]=>[7,1,4,5,2,6,3]=>100101 [2,7,5,3,6,1,4]=>[2,5,7,3,1,6,4]=>[5,1,4,7,2,6,3]=>100101 [2,7,5,3,6,4,1]=>[5,7,6,2,3,4,1]=>[7,4,5,6,1,3,2]=>100101 [2,7,5,4,1,3,6]=>[2,5,7,1,4,3,6]=>[4,1,6,5,2,7,3]=>101101 [2,7,5,4,1,6,3]=>[5,7,4,2,6,1,3]=>[6,4,7,3,1,5,2]=>101101 [2,7,5,4,3,1,6]=>[5,7,4,2,3,1,6]=>[6,4,5,3,1,7,2]=>101101 [2,7,5,4,3,6,1]=>[5,7,4,2,3,6,1]=>[7,4,5,3,1,6,2]=>101101 [2,7,5,4,6,1,3]=>[2,5,7,1,4,6,3]=>[4,1,7,5,2,6,3]=>101101 [2,7,5,4,6,3,1]=>[5,7,4,2,6,3,1]=>[7,4,6,3,1,5,2]=>101101 [2,7,5,6,1,3,4]=>[2,1,3,7,5,6,4]=>[2,1,3,7,5,6,4]=>100101 [2,7,5,6,1,4,3]=>[7,2,1,5,6,4,3]=>[3,2,7,6,4,5,1]=>101101 [2,7,5,6,3,1,4]=>[2,7,3,5,6,1,4]=>[6,1,3,7,4,5,2]=>100101 [2,7,5,6,3,4,1]=>[2,7,3,5,6,4,1]=>[7,1,3,6,4,5,2]=>100101 [2,7,5,6,4,1,3]=>[2,7,1,5,6,4,3]=>[3,1,7,6,4,5,2]=>101101 [2,7,5,6,4,3,1]=>[7,5,2,6,4,3,1]=>[7,3,6,5,2,4,1]=>101101 [2,7,6,1,3,4,5]=>[2,1,3,7,4,6,5]=>[2,1,3,5,7,6,4]=>100011 [2,7,6,1,3,5,4]=>[7,2,1,6,3,5,4]=>[3,2,5,7,6,4,1]=>100111 [2,7,6,1,4,3,5]=>[2,7,1,6,4,3,5]=>[3,1,6,5,7,4,2]=>101011 [2,7,6,1,4,5,3]=>[7,2,1,4,6,5,3]=>[3,2,7,4,6,5,1]=>101011 [2,7,6,1,5,3,4]=>[2,7,1,6,3,5,4]=>[3,1,5,7,6,4,2]=>100111 [2,7,6,1,5,4,3]=>[7,6,2,5,1,4,3]=>[5,3,7,6,4,2,1]=>101111 [2,7,6,3,1,4,5]=>[2,3,7,6,1,4,5]=>[5,1,2,6,7,4,3]=>100011 [2,7,6,3,1,5,4]=>[7,2,6,5,3,1,4]=>[6,2,5,7,4,3,1]=>100111 [2,7,6,3,4,1,5]=>[2,3,7,6,4,1,5]=>[6,1,2,5,7,4,3]=>100011 [2,7,6,3,4,5,1]=>[2,3,7,6,4,5,1]=>[7,1,2,5,6,4,3]=>100011 [2,7,6,3,5,1,4]=>[2,3,7,6,1,5,4]=>[5,1,2,7,6,4,3]=>100111 [2,7,6,3,5,4,1]=>[7,2,6,5,3,4,1]=>[7,2,5,6,4,3,1]=>100111 [2,7,6,4,1,3,5]=>[2,1,7,6,4,3,5]=>[2,1,6,5,7,4,3]=>101011 [2,7,6,4,1,5,3]=>[7,2,6,4,5,1,3]=>[6,2,7,4,5,3,1]=>101011 [2,7,6,4,3,1,5]=>[4,7,6,2,3,1,5]=>[6,4,5,1,7,3,2]=>101011 [2,7,6,4,3,5,1]=>[4,7,6,2,3,5,1]=>[7,4,5,1,6,3,2]=>101011 [2,7,6,4,5,1,3]=>[2,1,7,6,4,5,3]=>[2,1,7,5,6,4,3]=>101011 [2,7,6,4,5,3,1]=>[7,2,6,4,5,3,1]=>[7,2,6,4,5,3,1]=>101011 [2,7,6,5,1,3,4]=>[2,1,7,6,3,5,4]=>[2,1,5,7,6,4,3]=>100111 [2,7,6,5,1,4,3]=>[7,2,6,5,1,4,3]=>[5,2,7,6,4,3,1]=>101111 [2,7,6,5,3,1,4]=>[2,7,6,5,3,1,4]=>[6,1,5,7,4,3,2]=>100111 [2,7,6,5,3,4,1]=>[2,7,6,5,3,4,1]=>[7,1,5,6,4,3,2]=>100111 [2,7,6,5,4,1,3]=>[2,7,6,5,1,4,3]=>[5,1,7,6,4,3,2]=>101111 [2,7,6,5,4,3,1]=>[7,6,5,4,2,3,1]=>[7,5,6,4,3,2,1]=>101111 [3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>010000 [3,1,2,4,5,7,6]=>[7,1,3,2,4,5,6]=>[2,4,3,5,6,7,1]=>010001 [3,1,2,4,6,5,7]=>[6,1,3,2,4,5,7]=>[2,4,3,5,6,1,7]=>010010 [3,1,2,4,6,7,5]=>[6,1,3,2,4,7,5]=>[2,4,3,5,7,1,6]=>010010 [3,1,2,4,7,5,6]=>[1,7,3,2,4,5,6]=>[1,4,3,5,6,7,2]=>010001 [3,1,2,4,7,6,5]=>[7,6,1,3,2,4,5]=>[3,5,4,6,7,2,1]=>010011 [3,1,2,5,4,6,7]=>[5,1,3,2,4,6,7]=>[2,4,3,5,1,6,7]=>010100 [3,1,2,5,4,7,6]=>[7,5,1,3,2,4,6]=>[3,5,4,6,2,7,1]=>010101 [3,1,2,5,6,4,7]=>[5,1,3,2,6,4,7]=>[2,4,3,6,1,5,7]=>010100 [3,1,2,5,6,7,4]=>[5,1,3,2,6,7,4]=>[2,4,3,7,1,5,6]=>010100 [3,1,2,5,7,4,6]=>[5,1,3,2,4,7,6]=>[2,4,3,5,1,7,6]=>010101 [3,1,2,5,7,6,4]=>[7,5,1,3,2,6,4]=>[3,5,4,7,2,6,1]=>010101 [3,1,2,6,4,5,7]=>[1,6,3,2,4,5,7]=>[1,4,3,5,6,2,7]=>010010 [3,1,2,6,4,7,5]=>[6,7,1,3,2,4,5]=>[3,5,4,6,7,1,2]=>010010 [3,1,2,6,5,4,7]=>[6,5,1,3,2,4,7]=>[3,5,4,6,2,1,7]=>010110 [3,1,2,6,5,7,4]=>[6,5,1,3,2,7,4]=>[3,5,4,7,2,1,6]=>010110 [3,1,2,6,7,4,5]=>[1,6,3,2,4,7,5]=>[1,4,3,5,7,2,6]=>010010 [3,1,2,6,7,5,4]=>[6,7,1,3,2,5,4]=>[3,5,4,7,6,1,2]=>010110 [3,1,2,7,4,5,6]=>[1,3,7,2,4,5,6]=>[1,4,2,5,6,7,3]=>010001 [3,1,2,7,4,6,5]=>[7,1,6,3,2,4,5]=>[2,5,4,6,7,3,1]=>010011 [3,1,2,7,5,4,6]=>[5,7,1,3,2,4,6]=>[3,5,4,6,1,7,2]=>010101 [3,1,2,7,5,6,4]=>[7,1,5,3,2,6,4]=>[2,5,4,7,3,6,1]=>010101 [3,1,2,7,6,4,5]=>[1,7,6,3,2,4,5]=>[1,5,4,6,7,3,2]=>010011 [3,1,2,7,6,5,4]=>[7,6,5,1,3,2,4]=>[4,6,5,7,3,2,1]=>010111 [3,1,4,2,5,6,7]=>[3,4,1,2,5,6,7]=>[3,4,1,2,5,6,7]=>010000 [3,1,4,2,5,7,6]=>[7,3,4,1,2,5,6]=>[4,5,2,3,6,7,1]=>010001 [3,1,4,2,6,5,7]=>[6,3,4,1,2,5,7]=>[4,5,2,3,6,1,7]=>010010 [3,1,4,2,6,7,5]=>[6,3,4,1,2,7,5]=>[4,5,2,3,7,1,6]=>010010 [3,1,4,2,7,5,6]=>[3,7,4,1,2,5,6]=>[4,5,1,3,6,7,2]=>010001 [3,1,4,2,7,6,5]=>[7,6,3,4,1,2,5]=>[5,6,3,4,7,2,1]=>010011 [3,1,4,5,2,6,7]=>[3,4,1,5,2,6,7]=>[3,5,1,2,4,6,7]=>010000 [3,1,4,5,2,7,6]=>[7,3,4,1,5,2,6]=>[4,6,2,3,5,7,1]=>010001 [3,1,4,5,6,2,7]=>[3,4,1,5,6,2,7]=>[3,6,1,2,4,5,7]=>010000 [3,1,4,5,6,7,2]=>[3,4,1,5,6,7,2]=>[3,7,1,2,4,5,6]=>010000 [3,1,4,5,7,2,6]=>[3,4,1,5,2,7,6]=>[3,5,1,2,4,7,6]=>010001 [3,1,4,5,7,6,2]=>[7,3,4,1,5,6,2]=>[4,7,2,3,5,6,1]=>010001 [3,1,4,6,2,5,7]=>[3,4,1,2,6,5,7]=>[3,4,1,2,6,5,7]=>010010 [3,1,4,6,2,7,5]=>[6,3,4,1,7,2,5]=>[4,6,2,3,7,1,5]=>010010 [3,1,4,6,5,2,7]=>[6,3,4,1,5,2,7]=>[4,6,2,3,5,1,7]=>010010 [3,1,4,6,5,7,2]=>[6,3,4,1,5,7,2]=>[4,7,2,3,5,1,6]=>010010 [3,1,4,6,7,2,5]=>[3,4,1,2,6,7,5]=>[3,4,1,2,7,5,6]=>010010 [3,1,4,6,7,5,2]=>[6,3,4,1,7,5,2]=>[4,7,2,3,6,1,5]=>010010 [3,1,4,7,2,5,6]=>[3,4,1,2,5,7,6]=>[3,4,1,2,5,7,6]=>010001 [3,1,4,7,2,6,5]=>[7,3,4,1,2,6,5]=>[4,5,2,3,7,6,1]=>010011 [3,1,4,7,5,2,6]=>[3,7,4,1,5,2,6]=>[4,6,1,3,5,7,2]=>010001 [3,1,4,7,5,6,2]=>[3,7,4,1,5,6,2]=>[4,7,1,3,5,6,2]=>010001 [3,1,4,7,6,2,5]=>[3,7,4,1,2,6,5]=>[4,5,1,3,7,6,2]=>010011 [3,1,4,7,6,5,2]=>[7,6,3,4,1,5,2]=>[5,7,3,4,6,2,1]=>010011 [3,1,5,2,4,6,7]=>[3,1,5,2,4,6,7]=>[2,4,1,5,3,6,7]=>010100 [3,1,5,2,4,7,6]=>[7,3,1,5,2,4,6]=>[3,5,2,6,4,7,1]=>010101 [3,1,5,2,6,4,7]=>[5,3,6,1,2,4,7]=>[4,5,2,6,1,3,7]=>010100 [3,1,5,2,6,7,4]=>[5,3,6,1,2,7,4]=>[4,5,2,7,1,3,6]=>010100 [3,1,5,2,7,4,6]=>[5,3,1,7,2,4,6]=>[3,5,2,6,1,7,4]=>010101 [3,1,5,2,7,6,4]=>[7,5,3,6,1,2,4]=>[5,6,3,7,2,4,1]=>010101 [3,1,5,4,2,6,7]=>[5,3,4,1,2,6,7]=>[4,5,2,3,1,6,7]=>010100 [3,1,5,4,2,7,6]=>[7,5,3,4,1,2,6]=>[5,6,3,4,2,7,1]=>010101 [3,1,5,4,6,2,7]=>[5,3,4,1,6,2,7]=>[4,6,2,3,1,5,7]=>010100 [3,1,5,4,6,7,2]=>[5,3,4,1,6,7,2]=>[4,7,2,3,1,5,6]=>010100 [3,1,5,4,7,2,6]=>[5,3,4,1,2,7,6]=>[4,5,2,3,1,7,6]=>010101 [3,1,5,4,7,6,2]=>[7,5,3,4,1,6,2]=>[5,7,3,4,2,6,1]=>010101 [3,1,5,6,2,4,7]=>[3,1,5,2,6,4,7]=>[2,4,1,6,3,5,7]=>010100 [3,1,5,6,2,7,4]=>[5,3,6,1,7,2,4]=>[4,6,2,7,1,3,5]=>010100 [3,1,5,6,4,2,7]=>[5,3,6,1,4,2,7]=>[4,6,2,5,1,3,7]=>010100 [3,1,5,6,4,7,2]=>[5,3,6,1,4,7,2]=>[4,7,2,5,1,3,6]=>010100 [3,1,5,6,7,2,4]=>[3,1,5,2,6,7,4]=>[2,4,1,7,3,5,6]=>010100 [3,1,5,6,7,4,2]=>[5,3,6,1,7,4,2]=>[4,7,2,6,1,3,5]=>010100 [3,1,5,7,2,4,6]=>[3,1,5,2,4,7,6]=>[2,4,1,5,3,7,6]=>010101 [3,1,5,7,2,6,4]=>[5,3,7,1,2,6,4]=>[4,5,2,7,1,6,3]=>010101 [3,1,5,7,4,2,6]=>[5,3,1,7,4,2,6]=>[3,6,2,5,1,7,4]=>010101 [3,1,5,7,4,6,2]=>[5,3,4,1,7,6,2]=>[4,7,2,3,1,6,5]=>010101 [3,1,5,7,6,2,4]=>[3,7,1,5,2,6,4]=>[3,5,1,7,4,6,2]=>010101 [3,1,5,7,6,4,2]=>[7,5,3,6,1,4,2]=>[5,7,3,6,2,4,1]=>010101 [3,1,6,2,4,5,7]=>[3,1,2,6,4,5,7]=>[2,3,1,5,6,4,7]=>010010 [3,1,6,2,4,7,5]=>[6,3,1,7,2,4,5]=>[3,5,2,6,7,1,4]=>010010 [3,1,6,2,5,4,7]=>[6,3,1,5,2,4,7]=>[3,5,2,6,4,1,7]=>010110 [3,1,6,2,5,7,4]=>[6,3,1,5,2,7,4]=>[3,5,2,7,4,1,6]=>010110 [3,1,6,2,7,4,5]=>[3,6,1,7,2,4,5]=>[3,5,1,6,7,2,4]=>010010 [3,1,6,2,7,5,4]=>[6,7,3,5,1,2,4]=>[5,6,3,7,4,1,2]=>010110 [3,1,6,4,2,5,7]=>[3,6,4,1,2,5,7]=>[4,5,1,3,6,2,7]=>010010 [3,1,6,4,2,7,5]=>[6,7,3,4,1,2,5]=>[5,6,3,4,7,1,2]=>010010 [3,1,6,4,5,2,7]=>[3,6,4,1,5,2,7]=>[4,6,1,3,5,2,7]=>010010 [3,1,6,4,5,7,2]=>[3,6,4,1,5,7,2]=>[4,7,1,3,5,2,6]=>010010 [3,1,6,4,7,2,5]=>[3,6,4,1,2,7,5]=>[4,5,1,3,7,2,6]=>010010 [3,1,6,4,7,5,2]=>[6,7,3,4,1,5,2]=>[5,7,3,4,6,1,2]=>010010 [3,1,6,5,2,4,7]=>[3,6,1,5,2,4,7]=>[3,5,1,6,4,2,7]=>010110 [3,1,6,5,2,7,4]=>[6,5,3,7,1,2,4]=>[5,6,3,7,2,1,4]=>010110 [3,1,6,5,4,2,7]=>[6,5,3,4,1,2,7]=>[5,6,3,4,2,1,7]=>010110 [3,1,6,5,4,7,2]=>[6,5,3,4,1,7,2]=>[5,7,3,4,2,1,6]=>010110 [3,1,6,5,7,2,4]=>[3,6,1,5,2,7,4]=>[3,5,1,7,4,2,6]=>010110 [3,1,6,5,7,4,2]=>[6,5,3,7,1,4,2]=>[5,7,3,6,2,1,4]=>010110 [3,1,6,7,2,4,5]=>[3,1,2,6,4,7,5]=>[2,3,1,5,7,4,6]=>010010 [3,1,6,7,2,5,4]=>[6,3,1,7,2,5,4]=>[3,5,2,7,6,1,4]=>010110 [3,1,6,7,4,2,5]=>[3,6,1,7,4,2,5]=>[3,6,1,5,7,2,4]=>010010 [3,1,6,7,4,5,2]=>[3,6,4,1,7,5,2]=>[4,7,1,3,6,2,5]=>010010 [3,1,6,7,5,2,4]=>[3,6,1,7,2,5,4]=>[3,5,1,7,6,2,4]=>010110 [3,1,6,7,5,4,2]=>[6,7,3,5,1,4,2]=>[5,7,3,6,4,1,2]=>010110 [3,1,7,2,4,5,6]=>[3,1,2,4,7,5,6]=>[2,3,1,4,6,7,5]=>010001 [3,1,7,2,4,6,5]=>[7,3,1,2,6,4,5]=>[3,4,2,6,7,5,1]=>010011 [3,1,7,2,5,4,6]=>[3,7,1,5,2,4,6]=>[3,5,1,6,4,7,2]=>010101 [3,1,7,2,5,6,4]=>[7,3,1,2,5,6,4]=>[3,4,2,7,5,6,1]=>010101 [3,1,7,2,6,4,5]=>[3,7,1,2,6,4,5]=>[3,4,1,6,7,5,2]=>010011 [3,1,7,2,6,5,4]=>[7,6,3,1,5,2,4]=>[4,6,3,7,5,2,1]=>010111 [3,1,7,4,2,5,6]=>[3,4,7,1,2,5,6]=>[4,5,1,2,6,7,3]=>010001 [3,1,7,4,2,6,5]=>[7,3,6,4,1,2,5]=>[5,6,2,4,7,3,1]=>010011 [3,1,7,4,5,2,6]=>[3,4,7,1,5,2,6]=>[4,6,1,2,5,7,3]=>010001 [3,1,7,4,5,6,2]=>[3,7,1,4,5,6,2]=>[3,7,1,4,5,6,2]=>010001 [3,1,7,4,6,2,5]=>[3,4,7,1,2,6,5]=>[4,5,1,2,7,6,3]=>010011 [3,1,7,4,6,5,2]=>[7,3,6,4,1,5,2]=>[5,7,2,4,6,3,1]=>010011 [3,1,7,5,2,4,6]=>[3,1,7,5,2,4,6]=>[2,5,1,6,4,7,3]=>010101 [3,1,7,5,2,6,4]=>[7,3,5,6,1,2,4]=>[5,6,2,7,3,4,1]=>010101 [3,1,7,5,4,2,6]=>[5,7,3,4,1,2,6]=>[5,6,3,4,1,7,2]=>010101 [3,1,7,5,4,6,2]=>[5,7,3,4,1,6,2]=>[5,7,3,4,1,6,2]=>010101 [3,1,7,5,6,2,4]=>[3,1,7,5,2,6,4]=>[2,5,1,7,4,6,3]=>010101 [3,1,7,5,6,4,2]=>[7,3,5,6,1,4,2]=>[5,7,2,6,3,4,1]=>010101 [3,1,7,6,2,4,5]=>[3,1,7,2,6,4,5]=>[2,4,1,6,7,5,3]=>010011 [3,1,7,6,2,5,4]=>[7,3,6,1,5,2,4]=>[4,6,2,7,5,3,1]=>010111 [3,1,7,6,4,2,5]=>[3,7,6,4,1,2,5]=>[5,6,1,4,7,3,2]=>010011 [3,1,7,6,4,5,2]=>[3,7,6,4,1,5,2]=>[5,7,1,4,6,3,2]=>010011 [3,1,7,6,5,2,4]=>[3,7,6,1,5,2,4]=>[4,6,1,7,5,3,2]=>010111 [3,1,7,6,5,4,2]=>[7,6,5,3,4,1,2]=>[6,7,4,5,3,2,1]=>010111 [3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>110000 [3,2,1,4,5,7,6]=>[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1]=>110001 [3,2,1,4,6,5,7]=>[6,3,2,1,4,5,7]=>[4,3,2,5,6,1,7]=>110010 [3,2,1,4,6,7,5]=>[6,3,2,1,4,7,5]=>[4,3,2,5,7,1,6]=>110010 [3,2,1,4,7,5,6]=>[3,7,2,1,4,5,6]=>[4,3,1,5,6,7,2]=>110001 [3,2,1,4,7,6,5]=>[7,6,3,2,1,4,5]=>[5,4,3,6,7,2,1]=>110011 [3,2,1,5,4,6,7]=>[5,3,2,1,4,6,7]=>[4,3,2,5,1,6,7]=>110100 [3,2,1,5,4,7,6]=>[7,5,3,2,1,4,6]=>[5,4,3,6,2,7,1]=>110101 [3,2,1,5,6,4,7]=>[5,3,2,1,6,4,7]=>[4,3,2,6,1,5,7]=>110100 [3,2,1,5,6,7,4]=>[5,3,2,1,6,7,4]=>[4,3,2,7,1,5,6]=>110100 [3,2,1,5,7,4,6]=>[5,3,2,1,4,7,6]=>[4,3,2,5,1,7,6]=>110101 [3,2,1,5,7,6,4]=>[7,5,3,2,1,6,4]=>[5,4,3,7,2,6,1]=>110101 [3,2,1,6,4,5,7]=>[3,6,2,1,4,5,7]=>[4,3,1,5,6,2,7]=>110010 [3,2,1,6,4,7,5]=>[6,7,3,2,1,4,5]=>[5,4,3,6,7,1,2]=>110010 [3,2,1,6,5,4,7]=>[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7]=>110110 [3,2,1,6,5,7,4]=>[6,5,3,2,1,7,4]=>[5,4,3,7,2,1,6]=>110110 [3,2,1,6,7,4,5]=>[3,6,2,1,4,7,5]=>[4,3,1,5,7,2,6]=>110010 [3,2,1,6,7,5,4]=>[6,7,3,2,1,5,4]=>[5,4,3,7,6,1,2]=>110110 [3,2,1,7,4,5,6]=>[3,2,7,1,4,5,6]=>[4,2,1,5,6,7,3]=>110001 [3,2,1,7,4,6,5]=>[7,3,6,2,1,4,5]=>[5,4,2,6,7,3,1]=>110011 [3,2,1,7,5,4,6]=>[5,7,3,2,1,4,6]=>[5,4,3,6,1,7,2]=>110101 [3,2,1,7,5,6,4]=>[7,3,5,2,1,6,4]=>[5,4,2,7,3,6,1]=>110101 [3,2,1,7,6,4,5]=>[3,7,6,2,1,4,5]=>[5,4,1,6,7,3,2]=>110011 [3,2,1,7,6,5,4]=>[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1]=>110111 [3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]=>110000 [3,2,4,1,5,7,6]=>[7,3,2,4,1,5,6]=>[5,3,2,4,6,7,1]=>110001 [3,2,4,1,6,5,7]=>[6,3,2,4,1,5,7]=>[5,3,2,4,6,1,7]=>110010 [3,2,4,1,6,7,5]=>[6,3,2,4,1,7,5]=>[5,3,2,4,7,1,6]=>110010 [3,2,4,1,7,5,6]=>[3,7,2,4,1,5,6]=>[5,3,1,4,6,7,2]=>110001 [3,2,4,1,7,6,5]=>[7,6,3,2,4,1,5]=>[6,4,3,5,7,2,1]=>110011 [3,2,4,5,1,6,7]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]=>110000 [3,2,4,5,1,7,6]=>[7,3,2,4,5,1,6]=>[6,3,2,4,5,7,1]=>110001 [3,2,4,5,6,1,7]=>[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]=>110000 [3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]=>110000 [3,2,4,5,7,1,6]=>[3,2,4,5,1,7,6]=>[5,2,1,3,4,7,6]=>110001 [3,2,4,5,7,6,1]=>[7,3,2,4,5,6,1]=>[7,3,2,4,5,6,1]=>110001 [3,2,4,6,1,5,7]=>[3,2,4,1,6,5,7]=>[4,2,1,3,6,5,7]=>110010 [3,2,4,6,1,7,5]=>[6,3,2,4,7,1,5]=>[6,3,2,4,7,1,5]=>110010 [3,2,4,6,5,1,7]=>[6,3,2,4,5,1,7]=>[6,3,2,4,5,1,7]=>110010 [3,2,4,6,5,7,1]=>[6,3,2,4,5,7,1]=>[7,3,2,4,5,1,6]=>110010 [3,2,4,6,7,1,5]=>[3,2,4,1,6,7,5]=>[4,2,1,3,7,5,6]=>110010 [3,2,4,6,7,5,1]=>[6,3,2,4,7,5,1]=>[7,3,2,4,6,1,5]=>110010 [3,2,4,7,1,5,6]=>[3,2,4,1,5,7,6]=>[4,2,1,3,5,7,6]=>110001 [3,2,4,7,1,6,5]=>[7,3,2,4,1,6,5]=>[5,3,2,4,7,6,1]=>110011 [3,2,4,7,5,1,6]=>[3,7,2,4,5,1,6]=>[6,3,1,4,5,7,2]=>110001 [3,2,4,7,5,6,1]=>[3,7,2,4,5,6,1]=>[7,3,1,4,5,6,2]=>110001 [3,2,4,7,6,1,5]=>[3,7,2,4,1,6,5]=>[5,3,1,4,7,6,2]=>110011 [3,2,4,7,6,5,1]=>[7,6,3,2,4,5,1]=>[7,4,3,5,6,2,1]=>110011 [3,2,5,1,4,6,7]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>110100 [3,2,5,1,4,7,6]=>[7,3,2,1,5,4,6]=>[4,3,2,6,5,7,1]=>110101 [3,2,5,1,6,4,7]=>[5,3,2,6,1,4,7]=>[5,3,2,6,1,4,7]=>110100 [3,2,5,1,6,7,4]=>[5,3,2,6,1,7,4]=>[5,3,2,7,1,4,6]=>110100 [3,2,5,1,7,4,6]=>[5,3,2,1,7,4,6]=>[4,3,2,6,1,7,5]=>110101 [3,2,5,1,7,6,4]=>[7,5,3,2,6,1,4]=>[6,4,3,7,2,5,1]=>110101 [3,2,5,4,1,6,7]=>[5,3,2,4,1,6,7]=>[5,3,2,4,1,6,7]=>110100 [3,2,5,4,1,7,6]=>[7,5,3,2,4,1,6]=>[6,4,3,5,2,7,1]=>110101 [3,2,5,4,6,1,7]=>[5,3,2,4,6,1,7]=>[6,3,2,4,1,5,7]=>110100 [3,2,5,4,6,7,1]=>[5,3,2,4,6,7,1]=>[7,3,2,4,1,5,6]=>110100 [3,2,5,4,7,1,6]=>[5,3,2,4,1,7,6]=>[5,3,2,4,1,7,6]=>110101 [3,2,5,4,7,6,1]=>[7,5,3,2,4,6,1]=>[7,4,3,5,2,6,1]=>110101 [3,2,5,6,1,4,7]=>[3,2,1,5,6,4,7]=>[3,2,1,6,4,5,7]=>110100 [3,2,5,6,1,7,4]=>[5,3,2,6,7,1,4]=>[6,3,2,7,1,4,5]=>110100 [3,2,5,6,4,1,7]=>[5,3,2,6,4,1,7]=>[6,3,2,5,1,4,7]=>110100 [3,2,5,6,4,7,1]=>[5,3,2,6,4,7,1]=>[7,3,2,5,1,4,6]=>110100 [3,2,5,6,7,1,4]=>[3,2,1,5,6,7,4]=>[3,2,1,7,4,5,6]=>110100 [3,2,5,6,7,4,1]=>[5,3,2,6,7,4,1]=>[7,3,2,6,1,4,5]=>110100 [3,2,5,7,1,4,6]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>110101 [3,2,5,7,1,6,4]=>[5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>110101 [3,2,5,7,4,1,6]=>[5,3,2,4,7,1,6]=>[6,3,2,4,1,7,5]=>110101 [3,2,5,7,4,6,1]=>[5,3,2,4,7,6,1]=>[7,3,2,4,1,6,5]=>110101 [3,2,5,7,6,1,4]=>[3,7,2,1,5,6,4]=>[4,3,1,7,5,6,2]=>110101 [3,2,5,7,6,4,1]=>[7,5,3,2,6,4,1]=>[7,4,3,6,2,5,1]=>110101 [3,2,6,1,4,5,7]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>110010 [3,2,6,1,4,7,5]=>[6,3,2,1,7,4,5]=>[4,3,2,6,7,1,5]=>110010 [3,2,6,1,5,4,7]=>[6,3,2,1,5,4,7]=>[4,3,2,6,5,1,7]=>110110 [3,2,6,1,5,7,4]=>[6,3,2,1,5,7,4]=>[4,3,2,7,5,1,6]=>110110 [3,2,6,1,7,4,5]=>[3,6,2,1,7,4,5]=>[4,3,1,6,7,2,5]=>110010 [3,2,6,1,7,5,4]=>[6,7,3,2,5,1,4]=>[6,4,3,7,5,1,2]=>110110 [3,2,6,4,1,5,7]=>[3,6,2,4,1,5,7]=>[5,3,1,4,6,2,7]=>110010 [3,2,6,4,1,7,5]=>[6,7,3,2,4,1,5]=>[6,4,3,5,7,1,2]=>110010 [3,2,6,4,5,1,7]=>[3,6,2,4,5,1,7]=>[6,3,1,4,5,2,7]=>110010 [3,2,6,4,5,7,1]=>[3,6,2,4,5,7,1]=>[7,3,1,4,5,2,6]=>110010 [3,2,6,4,7,1,5]=>[3,6,2,4,1,7,5]=>[5,3,1,4,7,2,6]=>110010 [3,2,6,4,7,5,1]=>[6,7,3,2,4,5,1]=>[7,4,3,5,6,1,2]=>110010 [3,2,6,5,1,4,7]=>[3,6,2,1,5,4,7]=>[4,3,1,6,5,2,7]=>110110 [3,2,6,5,1,7,4]=>[6,5,3,2,7,1,4]=>[6,4,3,7,2,1,5]=>110110 [3,2,6,5,4,1,7]=>[6,5,3,2,4,1,7]=>[6,4,3,5,2,1,7]=>110110 [3,2,6,5,4,7,1]=>[6,5,3,2,4,7,1]=>[7,4,3,5,2,1,6]=>110110 [3,2,6,5,7,1,4]=>[3,6,2,1,5,7,4]=>[4,3,1,7,5,2,6]=>110110 [3,2,6,5,7,4,1]=>[6,5,3,2,7,4,1]=>[7,4,3,6,2,1,5]=>110110 [3,2,6,7,1,4,5]=>[3,2,1,4,6,7,5]=>[3,2,1,4,7,5,6]=>110010 [3,2,6,7,1,5,4]=>[6,3,2,1,7,5,4]=>[4,3,2,7,6,1,5]=>110110 [3,2,6,7,4,1,5]=>[3,6,2,4,7,1,5]=>[6,3,1,4,7,2,5]=>110010 [3,2,6,7,4,5,1]=>[3,6,2,4,7,5,1]=>[7,3,1,4,6,2,5]=>110010 [3,2,6,7,5,1,4]=>[3,6,2,1,7,5,4]=>[4,3,1,7,6,2,5]=>110110 [3,2,6,7,5,4,1]=>[6,7,3,2,5,4,1]=>[7,4,3,6,5,1,2]=>110110 [3,2,7,1,4,5,6]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>110001 [3,2,7,1,4,6,5]=>[7,3,2,1,4,6,5]=>[4,3,2,5,7,6,1]=>110011 [3,2,7,1,5,4,6]=>[3,7,2,1,5,4,6]=>[4,3,1,6,5,7,2]=>110101 [3,2,7,1,5,6,4]=>[5,3,2,1,7,6,4]=>[4,3,2,7,1,6,5]=>110101 [3,2,7,1,6,4,5]=>[3,7,2,1,4,6,5]=>[4,3,1,5,7,6,2]=>110011 [3,2,7,1,6,5,4]=>[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1]=>110111 [3,2,7,4,1,5,6]=>[3,2,7,4,1,5,6]=>[5,2,1,4,6,7,3]=>110001 [3,2,7,4,1,6,5]=>[7,3,6,2,4,1,5]=>[6,4,2,5,7,3,1]=>110011 [3,2,7,4,5,1,6]=>[3,2,7,4,5,1,6]=>[6,2,1,4,5,7,3]=>110001 [3,2,7,4,5,6,1]=>[3,2,7,4,5,6,1]=>[7,2,1,4,5,6,3]=>110001 [3,2,7,4,6,1,5]=>[3,2,7,4,1,6,5]=>[5,2,1,4,7,6,3]=>110011 [3,2,7,4,6,5,1]=>[7,3,6,2,4,5,1]=>[7,4,2,5,6,3,1]=>110011 [3,2,7,5,1,4,6]=>[3,2,7,1,5,4,6]=>[4,2,1,6,5,7,3]=>110101 [3,2,7,5,1,6,4]=>[7,3,5,2,6,1,4]=>[6,4,2,7,3,5,1]=>110101 [3,2,7,5,4,1,6]=>[5,7,3,2,4,1,6]=>[6,4,3,5,1,7,2]=>110101 [3,2,7,5,4,6,1]=>[5,7,3,2,4,6,1]=>[7,4,3,5,1,6,2]=>110101 [3,2,7,5,6,1,4]=>[3,2,7,1,5,6,4]=>[4,2,1,7,5,6,3]=>110101 [3,2,7,5,6,4,1]=>[7,3,5,2,6,4,1]=>[7,4,2,6,3,5,1]=>110101 [3,2,7,6,1,4,5]=>[3,2,7,1,4,6,5]=>[4,2,1,5,7,6,3]=>110011 [3,2,7,6,1,5,4]=>[7,3,6,2,1,5,4]=>[5,4,2,7,6,3,1]=>110111 [3,2,7,6,4,1,5]=>[3,7,6,2,4,1,5]=>[6,4,1,5,7,3,2]=>110011 [3,2,7,6,4,5,1]=>[3,7,6,2,4,5,1]=>[7,4,1,5,6,3,2]=>110011 [3,2,7,6,5,1,4]=>[3,7,6,2,1,5,4]=>[5,4,1,7,6,3,2]=>110111 [3,2,7,6,5,4,1]=>[7,6,5,3,2,4,1]=>[7,5,4,6,3,2,1]=>110111 [3,4,1,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7]=>010000 [3,4,1,2,5,7,6]=>[7,1,3,4,2,5,6]=>[2,5,3,4,6,7,1]=>010001 [3,4,1,2,6,5,7]=>[6,1,3,4,2,5,7]=>[2,5,3,4,6,1,7]=>010010 [3,4,1,2,6,7,5]=>[6,1,3,4,2,7,5]=>[2,5,3,4,7,1,6]=>010010 [3,4,1,2,7,5,6]=>[1,7,3,4,2,5,6]=>[1,5,3,4,6,7,2]=>010001 [3,4,1,2,7,6,5]=>[7,6,1,3,4,2,5]=>[3,6,4,5,7,2,1]=>010011 [3,4,1,5,2,6,7]=>[3,4,5,1,2,6,7]=>[4,5,1,2,3,6,7]=>010000 [3,4,1,5,2,7,6]=>[7,3,4,5,1,2,6]=>[5,6,2,3,4,7,1]=>010001 [3,4,1,5,6,2,7]=>[3,4,5,1,6,2,7]=>[4,6,1,2,3,5,7]=>010000 [3,4,1,5,6,7,2]=>[3,4,5,1,6,7,2]=>[4,7,1,2,3,5,6]=>010000 [3,4,1,5,7,2,6]=>[3,4,5,1,2,7,6]=>[4,5,1,2,3,7,6]=>010001 [3,4,1,5,7,6,2]=>[7,3,4,5,1,6,2]=>[5,7,2,3,4,6,1]=>010001 [3,4,1,6,2,5,7]=>[3,4,1,6,2,5,7]=>[3,5,1,2,6,4,7]=>010010 [3,4,1,6,2,7,5]=>[6,3,4,7,1,2,5]=>[5,6,2,3,7,1,4]=>010010 [3,4,1,6,5,2,7]=>[6,3,4,5,1,2,7]=>[5,6,2,3,4,1,7]=>010010 [3,4,1,6,5,7,2]=>[6,3,4,5,1,7,2]=>[5,7,2,3,4,1,6]=>010010 [3,4,1,6,7,2,5]=>[3,4,1,6,2,7,5]=>[3,5,1,2,7,4,6]=>010010 [3,4,1,6,7,5,2]=>[6,3,4,7,1,5,2]=>[5,7,2,3,6,1,4]=>010010 [3,4,1,7,2,5,6]=>[3,4,1,2,7,5,6]=>[3,4,1,2,6,7,5]=>010001 [3,4,1,7,2,6,5]=>[7,3,4,1,6,2,5]=>[4,6,2,3,7,5,1]=>010011 [3,4,1,7,5,2,6]=>[3,7,4,5,1,2,6]=>[5,6,1,3,4,7,2]=>010001 [3,4,1,7,5,6,2]=>[3,7,4,5,1,6,2]=>[5,7,1,3,4,6,2]=>010001 [3,4,1,7,6,2,5]=>[3,7,4,1,6,2,5]=>[4,6,1,3,7,5,2]=>010011 [3,4,1,7,6,5,2]=>[7,6,3,4,5,1,2]=>[6,7,3,4,5,2,1]=>010011 [3,4,2,1,5,6,7]=>[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]=>110000 [3,4,2,1,5,7,6]=>[7,3,4,2,1,5,6]=>[5,4,2,3,6,7,1]=>110001 [3,4,2,1,6,5,7]=>[6,3,4,2,1,5,7]=>[5,4,2,3,6,1,7]=>110010 [3,4,2,1,6,7,5]=>[6,3,4,2,1,7,5]=>[5,4,2,3,7,1,6]=>110010 [3,4,2,1,7,5,6]=>[3,7,4,2,1,5,6]=>[5,4,1,3,6,7,2]=>110001 [3,4,2,1,7,6,5]=>[7,6,3,4,2,1,5]=>[6,5,3,4,7,2,1]=>110011 [3,4,2,5,1,6,7]=>[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7]=>110000 [3,4,2,5,1,7,6]=>[7,3,4,2,5,1,6]=>[6,4,2,3,5,7,1]=>110001 [3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7]=>110000 [3,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6]=>110000 [3,4,2,5,7,1,6]=>[3,4,2,5,1,7,6]=>[5,3,1,2,4,7,6]=>110001 [3,4,2,5,7,6,1]=>[7,3,4,2,5,6,1]=>[7,4,2,3,5,6,1]=>110001 [3,4,2,6,1,5,7]=>[3,4,2,1,6,5,7]=>[4,3,1,2,6,5,7]=>110010 [3,4,2,6,1,7,5]=>[6,3,4,2,7,1,5]=>[6,4,2,3,7,1,5]=>110010 [3,4,2,6,5,1,7]=>[6,3,4,2,5,1,7]=>[6,4,2,3,5,1,7]=>110010 [3,4,2,6,5,7,1]=>[6,3,4,2,5,7,1]=>[7,4,2,3,5,1,6]=>110010 [3,4,2,6,7,1,5]=>[3,4,2,1,6,7,5]=>[4,3,1,2,7,5,6]=>110010 [3,4,2,6,7,5,1]=>[6,3,4,2,7,5,1]=>[7,4,2,3,6,1,5]=>110010 [3,4,2,7,1,5,6]=>[3,4,2,1,5,7,6]=>[4,3,1,2,5,7,6]=>110001 [3,4,2,7,1,6,5]=>[7,3,4,2,1,6,5]=>[5,4,2,3,7,6,1]=>110011 [3,4,2,7,5,1,6]=>[3,7,4,2,5,1,6]=>[6,4,1,3,5,7,2]=>110001 [3,4,2,7,5,6,1]=>[3,7,4,2,5,6,1]=>[7,4,1,3,5,6,2]=>110001 [3,4,2,7,6,1,5]=>[3,7,4,2,1,6,5]=>[5,4,1,3,7,6,2]=>110011 [3,4,2,7,6,5,1]=>[7,6,3,4,2,5,1]=>[7,5,3,4,6,2,1]=>110011 [3,4,5,1,2,6,7]=>[1,3,4,5,2,6,7]=>[1,5,2,3,4,6,7]=>010000 [3,4,5,1,2,7,6]=>[7,1,3,4,5,2,6]=>[2,6,3,4,5,7,1]=>010001 [3,4,5,1,6,2,7]=>[3,4,5,6,1,2,7]=>[5,6,1,2,3,4,7]=>010000 [3,4,5,1,6,7,2]=>[3,4,5,6,1,7,2]=>[5,7,1,2,3,4,6]=>010000 [3,4,5,1,7,2,6]=>[3,4,5,1,7,2,6]=>[4,6,1,2,3,7,5]=>010001 [3,4,5,1,7,6,2]=>[7,3,4,5,6,1,2]=>[6,7,2,3,4,5,1]=>010001 [3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7]=>110000 [3,4,5,2,1,7,6]=>[7,3,4,5,2,1,6]=>[6,5,2,3,4,7,1]=>110001 [3,4,5,2,6,1,7]=>[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7]=>110000 [3,4,5,2,6,7,1]=>[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6]=>110000 [3,4,5,2,7,1,6]=>[3,4,5,2,1,7,6]=>[5,4,1,2,3,7,6]=>110001 [3,4,5,2,7,6,1]=>[7,3,4,5,2,6,1]=>[7,5,2,3,4,6,1]=>110001 [3,4,5,6,1,2,7]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>010000 [3,4,5,6,1,7,2]=>[3,4,5,6,7,1,2]=>[6,7,1,2,3,4,5]=>010000 [3,4,5,6,2,1,7]=>[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7]=>110000 [3,4,5,6,2,7,1]=>[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6]=>110000 [3,4,5,6,7,1,2]=>[1,3,4,5,6,7,2]=>[1,7,2,3,4,5,6]=>010000 [3,4,5,6,7,2,1]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>110000 [3,4,5,7,1,2,6]=>[1,3,4,5,2,7,6]=>[1,5,2,3,4,7,6]=>010001 [3,4,5,7,1,6,2]=>[3,4,5,7,1,6,2]=>[5,7,1,2,3,6,4]=>010001 [3,4,5,7,2,1,6]=>[3,4,5,2,7,1,6]=>[6,4,1,2,3,7,5]=>110001 [3,4,5,7,2,6,1]=>[3,4,5,2,7,6,1]=>[7,4,1,2,3,6,5]=>110001 [3,4,5,7,6,1,2]=>[1,7,3,4,5,6,2]=>[1,7,3,4,5,6,2]=>010001 [3,4,5,7,6,2,1]=>[7,3,4,5,6,2,1]=>[7,6,2,3,4,5,1]=>110001 [3,4,6,1,2,5,7]=>[1,3,4,2,6,5,7]=>[1,4,2,3,6,5,7]=>010010 [3,4,6,1,2,7,5]=>[6,1,3,4,7,2,5]=>[2,6,3,4,7,1,5]=>010010 [3,4,6,1,5,2,7]=>[3,4,6,1,5,2,7]=>[4,6,1,2,5,3,7]=>010010 [3,4,6,1,5,7,2]=>[3,4,6,1,5,7,2]=>[4,7,1,2,5,3,6]=>010010 [3,4,6,1,7,2,5]=>[3,4,1,6,7,2,5]=>[3,6,1,2,7,4,5]=>010010 [3,4,6,1,7,5,2]=>[6,3,4,7,5,1,2]=>[6,7,2,3,5,1,4]=>010010 [3,4,6,2,1,5,7]=>[3,4,2,6,1,5,7]=>[5,3,1,2,6,4,7]=>110010 [3,4,6,2,1,7,5]=>[6,3,4,7,2,1,5]=>[6,5,2,3,7,1,4]=>110010 [3,4,6,2,5,1,7]=>[3,4,2,6,5,1,7]=>[6,3,1,2,5,4,7]=>110010 [3,4,6,2,5,7,1]=>[3,4,2,6,5,7,1]=>[7,3,1,2,5,4,6]=>110010 [3,4,6,2,7,1,5]=>[3,4,2,6,1,7,5]=>[5,3,1,2,7,4,6]=>110010 [3,4,6,2,7,5,1]=>[6,3,4,7,2,5,1]=>[7,5,2,3,6,1,4]=>110010 [3,4,6,5,1,2,7]=>[1,6,3,4,5,2,7]=>[1,6,3,4,5,2,7]=>010010 [3,4,6,5,1,7,2]=>[6,3,4,5,7,1,2]=>[6,7,2,3,4,1,5]=>010010 [3,4,6,5,2,1,7]=>[6,3,4,5,2,1,7]=>[6,5,2,3,4,1,7]=>110010 [3,4,6,5,2,7,1]=>[6,3,4,5,2,7,1]=>[7,5,2,3,4,1,6]=>110010 [3,4,6,5,7,1,2]=>[1,6,3,4,5,7,2]=>[1,7,3,4,5,2,6]=>010010 [3,4,6,5,7,2,1]=>[6,3,4,5,7,2,1]=>[7,6,2,3,4,1,5]=>110010 [3,4,6,7,1,2,5]=>[1,3,4,2,6,7,5]=>[1,4,2,3,7,5,6]=>010010 [3,4,6,7,1,5,2]=>[3,4,6,1,7,5,2]=>[4,7,1,2,6,3,5]=>010010 [3,4,6,7,2,1,5]=>[3,4,2,6,7,1,5]=>[6,3,1,2,7,4,5]=>110010 [3,4,6,7,2,5,1]=>[3,4,2,6,7,5,1]=>[7,3,1,2,6,4,5]=>110010 [3,4,6,7,5,1,2]=>[1,6,3,4,7,5,2]=>[1,7,3,4,6,2,5]=>010010 [3,4,6,7,5,2,1]=>[6,3,4,7,5,2,1]=>[7,6,2,3,5,1,4]=>110010 [3,4,7,1,2,5,6]=>[1,3,4,2,5,7,6]=>[1,4,2,3,5,7,6]=>010001 [3,4,7,1,2,6,5]=>[7,1,3,4,2,6,5]=>[2,5,3,4,7,6,1]=>010011 [3,4,7,1,5,2,6]=>[3,4,1,7,5,2,6]=>[3,6,1,2,5,7,4]=>010001 [3,4,7,1,5,6,2]=>[3,4,5,1,7,6,2]=>[4,7,1,2,3,6,5]=>010001 [3,4,7,1,6,2,5]=>[3,4,1,7,2,6,5]=>[3,5,1,2,7,6,4]=>010011 [3,4,7,1,6,5,2]=>[7,3,4,6,1,5,2]=>[5,7,2,3,6,4,1]=>010011 [3,4,7,2,1,5,6]=>[3,4,2,1,7,5,6]=>[4,3,1,2,6,7,5]=>110001 [3,4,7,2,1,6,5]=>[7,3,4,2,6,1,5]=>[6,4,2,3,7,5,1]=>110011 [3,4,7,2,5,1,6]=>[3,4,2,5,7,1,6]=>[6,3,1,2,4,7,5]=>110001 [3,4,7,2,5,6,1]=>[3,4,2,5,7,6,1]=>[7,3,1,2,4,6,5]=>110001 [3,4,7,2,6,1,5]=>[3,4,2,1,7,6,5]=>[4,3,1,2,7,6,5]=>110011 [3,4,7,2,6,5,1]=>[7,3,4,2,6,5,1]=>[7,4,2,3,6,5,1]=>110011 [3,4,7,5,1,2,6]=>[1,3,7,4,5,2,6]=>[1,6,2,4,5,7,3]=>010001 [3,4,7,5,1,6,2]=>[3,7,4,5,6,1,2]=>[6,7,1,3,4,5,2]=>010001 [3,4,7,5,2,1,6]=>[3,7,4,5,2,1,6]=>[6,5,1,3,4,7,2]=>110001 [3,4,7,5,2,6,1]=>[3,7,4,5,2,6,1]=>[7,5,1,3,4,6,2]=>110001 [3,4,7,5,6,1,2]=>[1,3,7,4,5,6,2]=>[1,7,2,4,5,6,3]=>010001 [3,4,7,5,6,2,1]=>[3,7,4,5,6,2,1]=>[7,6,1,3,4,5,2]=>110001 [3,4,7,6,1,2,5]=>[1,3,7,4,2,6,5]=>[1,5,2,4,7,6,3]=>010011 [3,4,7,6,1,5,2]=>[3,7,4,6,1,5,2]=>[5,7,1,3,6,4,2]=>010011 [3,4,7,6,2,1,5]=>[3,7,4,2,6,1,5]=>[6,4,1,3,7,5,2]=>110011 [3,4,7,6,2,5,1]=>[3,7,4,2,6,5,1]=>[7,4,1,3,6,5,2]=>110011 [3,4,7,6,5,1,2]=>[1,7,6,3,4,5,2]=>[1,7,4,5,6,3,2]=>010011 [3,4,7,6,5,2,1]=>[7,6,3,4,5,2,1]=>[7,6,3,4,5,2,1]=>110011 [3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>010100 [3,5,1,2,4,7,6]=>[7,1,3,2,5,4,6]=>[2,4,3,6,5,7,1]=>010101 [3,5,1,2,6,4,7]=>[5,1,3,6,2,4,7]=>[2,5,3,6,1,4,7]=>010100 [3,5,1,2,6,7,4]=>[5,1,3,6,2,7,4]=>[2,5,3,7,1,4,6]=>010100 [3,5,1,2,7,4,6]=>[5,1,3,2,7,4,6]=>[2,4,3,6,1,7,5]=>010101 [3,5,1,2,7,6,4]=>[7,5,1,3,6,2,4]=>[3,6,4,7,2,5,1]=>010101 [3,5,1,4,2,6,7]=>[3,5,1,4,2,6,7]=>[3,5,1,4,2,6,7]=>010100 [3,5,1,4,2,7,6]=>[7,3,5,1,4,2,6]=>[4,6,2,5,3,7,1]=>010101 [3,5,1,4,6,2,7]=>[3,5,1,4,6,2,7]=>[3,6,1,4,2,5,7]=>010100 [3,5,1,4,6,7,2]=>[3,5,1,4,6,7,2]=>[3,7,1,4,2,5,6]=>010100 [3,5,1,4,7,2,6]=>[3,5,1,4,2,7,6]=>[3,5,1,4,2,7,6]=>010101 [3,5,1,4,7,6,2]=>[7,3,5,1,4,6,2]=>[4,7,2,5,3,6,1]=>010101 [3,5,1,6,2,4,7]=>[3,1,5,6,2,4,7]=>[2,5,1,6,3,4,7]=>010100 [3,5,1,6,2,7,4]=>[5,3,6,7,1,2,4]=>[5,6,2,7,1,3,4]=>010100 [3,5,1,6,4,2,7]=>[5,3,6,4,1,2,7]=>[5,6,2,4,1,3,7]=>010100 [3,5,1,6,4,7,2]=>[5,3,6,4,1,7,2]=>[5,7,2,4,1,3,6]=>010100 [3,5,1,6,7,2,4]=>[3,1,5,6,2,7,4]=>[2,5,1,7,3,4,6]=>010100 [3,5,1,6,7,4,2]=>[5,3,6,7,1,4,2]=>[5,7,2,6,1,3,4]=>010100 [3,5,1,7,2,4,6]=>[3,1,5,2,7,4,6]=>[2,4,1,6,3,7,5]=>010101 [3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[4,6,2,7,1,5,3]=>010101 [3,5,1,7,4,2,6]=>[5,3,4,7,1,2,6]=>[5,6,2,3,1,7,4]=>010101 [3,5,1,7,4,6,2]=>[5,3,7,1,4,6,2]=>[4,7,2,5,1,6,3]=>010101 [3,5,1,7,6,2,4]=>[3,7,1,5,6,2,4]=>[3,6,1,7,4,5,2]=>010101 [3,5,1,7,6,4,2]=>[7,5,3,6,4,1,2]=>[6,7,3,5,2,4,1]=>010101 [3,5,2,1,4,6,7]=>[3,2,5,1,4,6,7]=>[4,2,1,5,3,6,7]=>110100 [3,5,2,1,4,7,6]=>[7,3,2,5,1,4,6]=>[5,3,2,6,4,7,1]=>110101 [3,5,2,1,6,4,7]=>[5,3,6,2,1,4,7]=>[5,4,2,6,1,3,7]=>110100 [3,5,2,1,6,7,4]=>[5,3,6,2,1,7,4]=>[5,4,2,7,1,3,6]=>110100 [3,5,2,1,7,4,6]=>[5,3,2,7,1,4,6]=>[5,3,2,6,1,7,4]=>110101 [3,5,2,1,7,6,4]=>[7,5,3,6,2,1,4]=>[6,5,3,7,2,4,1]=>110101 [3,5,2,4,1,6,7]=>[3,2,5,4,1,6,7]=>[5,2,1,4,3,6,7]=>110100 [3,5,2,4,1,7,6]=>[7,3,2,5,4,1,6]=>[6,3,2,5,4,7,1]=>110101 [3,5,2,4,6,1,7]=>[3,2,5,4,6,1,7]=>[6,2,1,4,3,5,7]=>110100 [3,5,2,4,6,7,1]=>[3,2,5,4,6,7,1]=>[7,2,1,4,3,5,6]=>110100 [3,5,2,4,7,1,6]=>[3,2,5,4,1,7,6]=>[5,2,1,4,3,7,6]=>110101 [3,5,2,4,7,6,1]=>[7,3,2,5,4,6,1]=>[7,3,2,5,4,6,1]=>110101 [3,5,2,6,1,4,7]=>[3,2,5,1,6,4,7]=>[4,2,1,6,3,5,7]=>110100 [3,5,2,6,1,7,4]=>[5,3,6,2,7,1,4]=>[6,4,2,7,1,3,5]=>110100 [3,5,2,6,4,1,7]=>[5,3,6,2,4,1,7]=>[6,4,2,5,1,3,7]=>110100 [3,5,2,6,4,7,1]=>[5,3,6,2,4,7,1]=>[7,4,2,5,1,3,6]=>110100 [3,5,2,6,7,1,4]=>[3,2,5,1,6,7,4]=>[4,2,1,7,3,5,6]=>110100 [3,5,2,6,7,4,1]=>[5,3,6,2,7,4,1]=>[7,4,2,6,1,3,5]=>110100 [3,5,2,7,1,4,6]=>[3,2,5,1,4,7,6]=>[4,2,1,5,3,7,6]=>110101 [3,5,2,7,1,6,4]=>[5,3,7,2,1,6,4]=>[5,4,2,7,1,6,3]=>110101 [3,5,2,7,4,1,6]=>[5,3,2,7,4,1,6]=>[6,3,2,5,1,7,4]=>110101 [3,5,2,7,4,6,1]=>[5,3,2,7,4,6,1]=>[7,3,2,5,1,6,4]=>110101 [3,5,2,7,6,1,4]=>[3,7,2,5,1,6,4]=>[5,3,1,7,4,6,2]=>110101 [3,5,2,7,6,4,1]=>[7,5,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>110101 [3,5,4,1,2,6,7]=>[1,5,3,4,2,6,7]=>[1,5,3,4,2,6,7]=>010100 [3,5,4,1,2,7,6]=>[7,1,5,3,4,2,6]=>[2,6,4,5,3,7,1]=>010101 [3,5,4,1,6,2,7]=>[5,3,4,6,1,2,7]=>[5,6,2,3,1,4,7]=>010100 [3,5,4,1,6,7,2]=>[5,3,4,6,1,7,2]=>[5,7,2,3,1,4,6]=>010100 [3,5,4,1,7,2,6]=>[5,3,4,1,7,2,6]=>[4,6,2,3,1,7,5]=>010101 [3,5,4,1,7,6,2]=>[7,5,3,4,6,1,2]=>[6,7,3,4,2,5,1]=>010101 [3,5,4,2,1,6,7]=>[5,3,4,2,1,6,7]=>[5,4,2,3,1,6,7]=>110100 [3,5,4,2,1,7,6]=>[7,5,3,4,2,1,6]=>[6,5,3,4,2,7,1]=>110101 [3,5,4,2,6,1,7]=>[5,3,4,2,6,1,7]=>[6,4,2,3,1,5,7]=>110100 [3,5,4,2,6,7,1]=>[5,3,4,2,6,7,1]=>[7,4,2,3,1,5,6]=>110100 [3,5,4,2,7,1,6]=>[5,3,4,2,1,7,6]=>[5,4,2,3,1,7,6]=>110101 [3,5,4,2,7,6,1]=>[7,5,3,4,2,6,1]=>[7,5,3,4,2,6,1]=>110101 [3,5,4,6,1,2,7]=>[1,5,3,4,6,2,7]=>[1,6,3,4,2,5,7]=>010100 [3,5,4,6,1,7,2]=>[5,3,4,6,7,1,2]=>[6,7,2,3,1,4,5]=>010100 [3,5,4,6,2,1,7]=>[5,3,4,6,2,1,7]=>[6,5,2,3,1,4,7]=>110100 [3,5,4,6,2,7,1]=>[5,3,4,6,2,7,1]=>[7,5,2,3,1,4,6]=>110100 [3,5,4,6,7,1,2]=>[1,5,3,4,6,7,2]=>[1,7,3,4,2,5,6]=>010100 [3,5,4,6,7,2,1]=>[5,3,4,6,7,2,1]=>[7,6,2,3,1,4,5]=>110100 [3,5,4,7,1,2,6]=>[1,5,3,4,2,7,6]=>[1,5,3,4,2,7,6]=>010101 [3,5,4,7,1,6,2]=>[5,3,4,7,1,6,2]=>[5,7,2,3,1,6,4]=>010101 [3,5,4,7,2,1,6]=>[5,3,4,2,7,1,6]=>[6,4,2,3,1,7,5]=>110101 [3,5,4,7,2,6,1]=>[5,3,4,2,7,6,1]=>[7,4,2,3,1,6,5]=>110101 [3,5,4,7,6,1,2]=>[1,7,5,3,4,6,2]=>[1,7,4,5,3,6,2]=>010101 [3,5,4,7,6,2,1]=>[7,5,3,4,6,2,1]=>[7,6,3,4,2,5,1]=>110101 [3,5,6,1,2,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,4,5,7]=>010100 [3,5,6,1,2,7,4]=>[5,1,3,6,7,2,4]=>[2,6,3,7,1,4,5]=>010100 [3,5,6,1,4,2,7]=>[3,5,1,6,4,2,7]=>[3,6,1,5,2,4,7]=>010100 [3,5,6,1,4,7,2]=>[3,5,1,6,4,7,2]=>[3,7,1,5,2,4,6]=>010100 [3,5,6,1,7,2,4]=>[3,1,5,6,7,2,4]=>[2,6,1,7,3,4,5]=>010100 [3,5,6,1,7,4,2]=>[5,3,6,7,4,1,2]=>[6,7,2,5,1,3,4]=>010100 [3,5,6,2,1,4,7]=>[3,2,5,6,1,4,7]=>[5,2,1,6,3,4,7]=>110100 [3,5,6,2,1,7,4]=>[5,3,6,7,2,1,4]=>[6,5,2,7,1,3,4]=>110100 [3,5,6,2,4,1,7]=>[3,2,5,6,4,1,7]=>[6,2,1,5,3,4,7]=>110100 [3,5,6,2,4,7,1]=>[3,2,5,6,4,7,1]=>[7,2,1,5,3,4,6]=>110100 [3,5,6,2,7,1,4]=>[3,2,5,6,1,7,4]=>[5,2,1,7,3,4,6]=>110100 [3,5,6,2,7,4,1]=>[5,3,6,7,2,4,1]=>[7,5,2,6,1,3,4]=>110100 [3,5,6,4,1,2,7]=>[1,5,3,6,4,2,7]=>[1,6,3,5,2,4,7]=>010100 [3,5,6,4,1,7,2]=>[5,3,6,4,7,1,2]=>[6,7,2,4,1,3,5]=>010100 [3,5,6,4,2,1,7]=>[5,3,6,4,2,1,7]=>[6,5,2,4,1,3,7]=>110100 [3,5,6,4,2,7,1]=>[5,3,6,4,2,7,1]=>[7,5,2,4,1,3,6]=>110100 [3,5,6,4,7,1,2]=>[1,5,3,6,4,7,2]=>[1,7,3,5,2,4,6]=>010100 [3,5,6,4,7,2,1]=>[5,3,6,4,7,2,1]=>[7,6,2,4,1,3,5]=>110100 [3,5,6,7,1,2,4]=>[1,3,2,5,6,7,4]=>[1,3,2,7,4,5,6]=>010100 [3,5,6,7,1,4,2]=>[3,5,1,6,7,4,2]=>[3,7,1,6,2,4,5]=>010100 [3,5,6,7,2,1,4]=>[3,2,5,6,7,1,4]=>[6,2,1,7,3,4,5]=>110100 [3,5,6,7,2,4,1]=>[3,2,5,6,7,4,1]=>[7,2,1,6,3,4,5]=>110100 [3,5,6,7,4,1,2]=>[1,5,3,6,7,4,2]=>[1,7,3,6,2,4,5]=>010100 [3,5,6,7,4,2,1]=>[5,3,6,7,4,2,1]=>[7,6,2,5,1,3,4]=>110100 [3,5,7,1,2,4,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>010101 [3,5,7,1,2,6,4]=>[5,1,3,7,2,6,4]=>[2,5,3,7,1,6,4]=>010101 [3,5,7,1,4,2,6]=>[3,5,1,4,7,2,6]=>[3,6,1,4,2,7,5]=>010101 [3,5,7,1,4,6,2]=>[3,5,1,4,7,6,2]=>[3,7,1,4,2,6,5]=>010101 [3,5,7,1,6,2,4]=>[3,1,5,7,2,6,4]=>[2,5,1,7,3,6,4]=>010101 [3,5,7,1,6,4,2]=>[5,3,7,6,1,4,2]=>[5,7,2,6,1,4,3]=>010101 [3,5,7,2,1,4,6]=>[3,2,5,1,7,4,6]=>[4,2,1,6,3,7,5]=>110101 [3,5,7,2,1,6,4]=>[5,3,7,2,6,1,4]=>[6,4,2,7,1,5,3]=>110101 [3,5,7,2,4,1,6]=>[3,2,5,4,7,1,6]=>[6,2,1,4,3,7,5]=>110101 [3,5,7,2,4,6,1]=>[3,2,5,4,7,6,1]=>[7,2,1,4,3,6,5]=>110101 [3,5,7,2,6,1,4]=>[3,2,5,1,7,6,4]=>[4,2,1,7,3,6,5]=>110101 [3,5,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[7,4,2,6,1,5,3]=>110101 [3,5,7,4,1,2,6]=>[1,5,3,4,7,2,6]=>[1,6,3,4,2,7,5]=>010101 [3,5,7,4,1,6,2]=>[5,3,4,7,6,1,2]=>[6,7,2,3,1,5,4]=>010101 [3,5,7,4,2,1,6]=>[5,3,4,7,2,1,6]=>[6,5,2,3,1,7,4]=>110101 [3,5,7,4,2,6,1]=>[5,3,4,7,2,6,1]=>[7,5,2,3,1,6,4]=>110101 [3,5,7,4,6,1,2]=>[1,5,3,4,7,6,2]=>[1,7,3,4,2,6,5]=>010101 [3,5,7,4,6,2,1]=>[5,3,4,7,6,2,1]=>[7,6,2,3,1,5,4]=>110101 [3,5,7,6,1,2,4]=>[1,3,7,2,5,6,4]=>[1,4,2,7,5,6,3]=>010101 [3,5,7,6,1,4,2]=>[3,7,5,1,6,4,2]=>[4,7,1,6,3,5,2]=>010101 [3,5,7,6,2,1,4]=>[3,7,2,5,6,1,4]=>[6,3,1,7,4,5,2]=>110101 [3,5,7,6,2,4,1]=>[3,7,2,5,6,4,1]=>[7,3,1,6,4,5,2]=>110101 [3,5,7,6,4,1,2]=>[1,7,5,3,6,4,2]=>[1,7,4,6,3,5,2]=>010101 [3,5,7,6,4,2,1]=>[7,5,3,6,4,2,1]=>[7,6,3,5,2,4,1]=>110101 [3,6,1,2,4,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>010010 [3,6,1,2,4,7,5]=>[6,1,3,2,7,4,5]=>[2,4,3,6,7,1,5]=>010010 [3,6,1,2,5,4,7]=>[6,1,3,2,5,4,7]=>[2,4,3,6,5,1,7]=>010110 [3,6,1,2,5,7,4]=>[6,1,3,2,5,7,4]=>[2,4,3,7,5,1,6]=>010110 [3,6,1,2,7,4,5]=>[1,6,3,2,7,4,5]=>[1,4,3,6,7,2,5]=>010010 [3,6,1,2,7,5,4]=>[6,7,1,3,5,2,4]=>[3,6,4,7,5,1,2]=>010110 [3,6,1,4,2,5,7]=>[3,1,6,4,2,5,7]=>[2,5,1,4,6,3,7]=>010010 [3,6,1,4,2,7,5]=>[6,3,7,1,4,2,5]=>[4,6,2,5,7,1,3]=>010010 [3,6,1,4,5,2,7]=>[3,4,1,6,5,2,7]=>[3,6,1,2,5,4,7]=>010010 [3,6,1,4,5,7,2]=>[3,4,1,6,5,7,2]=>[3,7,1,2,5,4,6]=>010010 [3,6,1,4,7,2,5]=>[3,1,6,4,2,7,5]=>[2,5,1,4,7,3,6]=>010010 [3,6,1,4,7,5,2]=>[6,3,7,1,4,5,2]=>[4,7,2,5,6,1,3]=>010010 [3,6,1,5,2,4,7]=>[3,1,6,2,5,4,7]=>[2,4,1,6,5,3,7]=>010110 [3,6,1,5,2,7,4]=>[6,3,5,1,7,2,4]=>[4,6,2,7,3,1,5]=>010110 [3,6,1,5,4,2,7]=>[6,3,5,1,4,2,7]=>[4,6,2,5,3,1,7]=>010110 [3,6,1,5,4,7,2]=>[6,3,5,1,4,7,2]=>[4,7,2,5,3,1,6]=>010110 [3,6,1,5,7,2,4]=>[3,1,6,2,5,7,4]=>[2,4,1,7,5,3,6]=>010110 [3,6,1,5,7,4,2]=>[6,3,5,1,7,4,2]=>[4,7,2,6,3,1,5]=>010110 [3,6,1,7,2,4,5]=>[3,1,2,6,7,4,5]=>[2,3,1,6,7,4,5]=>010010 [3,6,1,7,2,5,4]=>[6,3,1,7,5,2,4]=>[3,6,2,7,5,1,4]=>010110 [3,6,1,7,4,2,5]=>[3,6,4,7,1,2,5]=>[5,6,1,3,7,2,4]=>010010 [3,6,1,7,4,5,2]=>[3,6,7,1,4,5,2]=>[4,7,1,5,6,2,3]=>010010 [3,6,1,7,5,2,4]=>[3,6,1,7,5,2,4]=>[3,6,1,7,5,2,4]=>010110 [3,6,1,7,5,4,2]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>010110 [3,6,2,1,4,5,7]=>[3,2,1,6,4,5,7]=>[3,2,1,5,6,4,7]=>110010 [3,6,2,1,4,7,5]=>[6,3,2,7,1,4,5]=>[5,3,2,6,7,1,4]=>110010 [3,6,2,1,5,4,7]=>[6,3,2,5,1,4,7]=>[5,3,2,6,4,1,7]=>110110 [3,6,2,1,5,7,4]=>[6,3,2,5,1,7,4]=>[5,3,2,7,4,1,6]=>110110 [3,6,2,1,7,4,5]=>[3,6,2,7,1,4,5]=>[5,3,1,6,7,2,4]=>110010 [3,6,2,1,7,5,4]=>[6,7,3,5,2,1,4]=>[6,5,3,7,4,1,2]=>110110 [3,6,2,4,1,5,7]=>[3,2,4,6,1,5,7]=>[5,2,1,3,6,4,7]=>110010 [3,6,2,4,1,7,5]=>[6,3,2,7,4,1,5]=>[6,3,2,5,7,1,4]=>110010 [3,6,2,4,5,1,7]=>[3,2,4,6,5,1,7]=>[6,2,1,3,5,4,7]=>110010 [3,6,2,4,5,7,1]=>[3,2,4,6,5,7,1]=>[7,2,1,3,5,4,6]=>110010 [3,6,2,4,7,1,5]=>[3,2,4,6,1,7,5]=>[5,2,1,3,7,4,6]=>110010 [3,6,2,4,7,5,1]=>[6,3,2,7,4,5,1]=>[7,3,2,5,6,1,4]=>110010 [3,6,2,5,1,4,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>110110 [3,6,2,5,1,7,4]=>[6,3,2,5,7,1,4]=>[6,3,2,7,4,1,5]=>110110 [3,6,2,5,4,1,7]=>[6,3,2,5,4,1,7]=>[6,3,2,5,4,1,7]=>110110 [3,6,2,5,4,7,1]=>[6,3,2,5,4,7,1]=>[7,3,2,5,4,1,6]=>110110 [3,6,2,5,7,1,4]=>[3,2,1,6,5,7,4]=>[3,2,1,7,5,4,6]=>110110 [3,6,2,5,7,4,1]=>[6,3,2,5,7,4,1]=>[7,3,2,6,4,1,5]=>110110 [3,6,2,7,1,4,5]=>[3,2,1,6,4,7,5]=>[3,2,1,5,7,4,6]=>110010 [3,6,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[5,3,2,7,6,1,4]=>110110 [3,6,2,7,4,1,5]=>[3,6,2,7,4,1,5]=>[6,3,1,5,7,2,4]=>110010 [3,6,2,7,4,5,1]=>[3,6,2,7,4,5,1]=>[7,3,1,5,6,2,4]=>110010 [3,6,2,7,5,1,4]=>[3,6,2,7,1,5,4]=>[5,3,1,7,6,2,4]=>110110 [3,6,2,7,5,4,1]=>[6,7,3,5,2,4,1]=>[7,5,3,6,4,1,2]=>110110 [3,6,4,1,2,5,7]=>[1,3,6,4,2,5,7]=>[1,5,2,4,6,3,7]=>010010 [3,6,4,1,2,7,5]=>[6,1,7,3,4,2,5]=>[2,6,4,5,7,1,3]=>010010 [3,6,4,1,5,2,7]=>[3,6,4,5,1,2,7]=>[5,6,1,3,4,2,7]=>010010 [3,6,4,1,5,7,2]=>[3,6,4,5,1,7,2]=>[5,7,1,3,4,2,6]=>010010 [3,6,4,1,7,2,5]=>[3,6,4,1,7,2,5]=>[4,6,1,3,7,2,5]=>010010 [3,6,4,1,7,5,2]=>[6,7,3,4,5,1,2]=>[6,7,3,4,5,1,2]=>010010 [3,6,4,2,1,5,7]=>[3,6,4,2,1,5,7]=>[5,4,1,3,6,2,7]=>110010 [3,6,4,2,1,7,5]=>[6,7,3,4,2,1,5]=>[6,5,3,4,7,1,2]=>110010 [3,6,4,2,5,1,7]=>[3,6,4,2,5,1,7]=>[6,4,1,3,5,2,7]=>110010 [3,6,4,2,5,7,1]=>[3,6,4,2,5,7,1]=>[7,4,1,3,5,2,6]=>110010 [3,6,4,2,7,1,5]=>[3,6,4,2,1,7,5]=>[5,4,1,3,7,2,6]=>110010 [3,6,4,2,7,5,1]=>[6,7,3,4,2,5,1]=>[7,5,3,4,6,1,2]=>110010 [3,6,4,5,1,2,7]=>[1,3,6,4,5,2,7]=>[1,6,2,4,5,3,7]=>010010 [3,6,4,5,1,7,2]=>[3,6,4,5,7,1,2]=>[6,7,1,3,4,2,5]=>010010 [3,6,4,5,2,1,7]=>[3,6,4,5,2,1,7]=>[6,5,1,3,4,2,7]=>110010 [3,6,4,5,2,7,1]=>[3,6,4,5,2,7,1]=>[7,5,1,3,4,2,6]=>110010 [3,6,4,5,7,1,2]=>[1,3,6,4,5,7,2]=>[1,7,2,4,5,3,6]=>010010 [3,6,4,5,7,2,1]=>[3,6,4,5,7,2,1]=>[7,6,1,3,4,2,5]=>110010 [3,6,4,7,1,2,5]=>[1,3,6,4,2,7,5]=>[1,5,2,4,7,3,6]=>010010 [3,6,4,7,1,5,2]=>[3,6,4,7,1,5,2]=>[5,7,1,3,6,2,4]=>010010 [3,6,4,7,2,1,5]=>[3,6,4,2,7,1,5]=>[6,4,1,3,7,2,5]=>110010 [3,6,4,7,2,5,1]=>[3,6,4,2,7,5,1]=>[7,4,1,3,6,2,5]=>110010 [3,6,4,7,5,1,2]=>[1,6,7,3,4,5,2]=>[1,7,4,5,6,2,3]=>010010 [3,6,4,7,5,2,1]=>[6,7,3,4,5,2,1]=>[7,6,3,4,5,1,2]=>110010 [3,6,5,1,2,4,7]=>[1,3,6,2,5,4,7]=>[1,4,2,6,5,3,7]=>010110 [3,6,5,1,2,7,4]=>[6,1,5,3,7,2,4]=>[2,6,4,7,3,1,5]=>010110 [3,6,5,1,4,2,7]=>[3,6,5,1,4,2,7]=>[4,6,1,5,3,2,7]=>010110 [3,6,5,1,4,7,2]=>[3,6,5,1,4,7,2]=>[4,7,1,5,3,2,6]=>010110 [3,6,5,1,7,2,4]=>[3,6,1,5,7,2,4]=>[3,6,1,7,4,2,5]=>010110 [3,6,5,1,7,4,2]=>[6,5,3,7,4,1,2]=>[6,7,3,5,2,1,4]=>010110 [3,6,5,2,1,4,7]=>[3,6,2,5,1,4,7]=>[5,3,1,6,4,2,7]=>110110 [3,6,5,2,1,7,4]=>[6,5,3,7,2,1,4]=>[6,5,3,7,2,1,4]=>110110 [3,6,5,2,4,1,7]=>[3,6,2,5,4,1,7]=>[6,3,1,5,4,2,7]=>110110 [3,6,5,2,4,7,1]=>[3,6,2,5,4,7,1]=>[7,3,1,5,4,2,6]=>110110 [3,6,5,2,7,1,4]=>[3,6,2,5,1,7,4]=>[5,3,1,7,4,2,6]=>110110 [3,6,5,2,7,4,1]=>[6,5,3,7,2,4,1]=>[7,5,3,6,2,1,4]=>110110 [3,6,5,4,1,2,7]=>[1,6,5,3,4,2,7]=>[1,6,4,5,3,2,7]=>010110 [3,6,5,4,1,7,2]=>[6,5,3,4,7,1,2]=>[6,7,3,4,2,1,5]=>010110 [3,6,5,4,2,1,7]=>[6,5,3,4,2,1,7]=>[6,5,3,4,2,1,7]=>110110 [3,6,5,4,2,7,1]=>[6,5,3,4,2,7,1]=>[7,5,3,4,2,1,6]=>110110 [3,6,5,4,7,1,2]=>[1,6,5,3,4,7,2]=>[1,7,4,5,3,2,6]=>010110 [3,6,5,4,7,2,1]=>[6,5,3,4,7,2,1]=>[7,6,3,4,2,1,5]=>110110 [3,6,5,7,1,2,4]=>[1,3,6,2,5,7,4]=>[1,4,2,7,5,3,6]=>010110 [3,6,5,7,1,4,2]=>[3,6,5,1,7,4,2]=>[4,7,1,6,3,2,5]=>010110 [3,6,5,7,2,1,4]=>[3,6,2,5,7,1,4]=>[6,3,1,7,4,2,5]=>110110 [3,6,5,7,2,4,1]=>[3,6,2,5,7,4,1]=>[7,3,1,6,4,2,5]=>110110 [3,6,5,7,4,1,2]=>[1,6,5,3,7,4,2]=>[1,7,4,6,3,2,5]=>010110 [3,6,5,7,4,2,1]=>[6,5,3,7,4,2,1]=>[7,6,3,5,2,1,4]=>110110 [3,6,7,1,2,4,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,5,6]=>010010 [3,6,7,1,2,5,4]=>[6,1,3,2,7,5,4]=>[2,4,3,7,6,1,5]=>010110 [3,6,7,1,4,2,5]=>[3,1,6,4,7,2,5]=>[2,6,1,4,7,3,5]=>010010 [3,6,7,1,4,5,2]=>[3,4,1,6,7,5,2]=>[3,7,1,2,6,4,5]=>010010 [3,6,7,1,5,2,4]=>[3,1,6,2,7,5,4]=>[2,4,1,7,6,3,5]=>010110 [3,6,7,1,5,4,2]=>[6,3,7,1,5,4,2]=>[4,7,2,6,5,1,3]=>010110 [3,6,7,2,1,4,5]=>[3,2,1,6,7,4,5]=>[3,2,1,6,7,4,5]=>110010 [3,6,7,2,1,5,4]=>[6,3,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>110110 [3,6,7,2,4,1,5]=>[3,2,4,6,7,1,5]=>[6,2,1,3,7,4,5]=>110010 [3,6,7,2,4,5,1]=>[3,2,4,6,7,5,1]=>[7,2,1,3,6,4,5]=>110010 [3,6,7,2,5,1,4]=>[3,2,1,6,7,5,4]=>[3,2,1,7,6,4,5]=>110110 [3,6,7,2,5,4,1]=>[6,3,2,7,5,4,1]=>[7,3,2,6,5,1,4]=>110110 [3,6,7,4,1,2,5]=>[1,3,6,4,7,2,5]=>[1,6,2,4,7,3,5]=>010010 [3,6,7,4,1,5,2]=>[3,6,4,7,5,1,2]=>[6,7,1,3,5,2,4]=>010010 [3,6,7,4,2,1,5]=>[3,6,4,7,2,1,5]=>[6,5,1,3,7,2,4]=>110010 [3,6,7,4,2,5,1]=>[3,6,4,7,2,5,1]=>[7,5,1,3,6,2,4]=>110010 [3,6,7,4,5,1,2]=>[1,3,6,4,7,5,2]=>[1,7,2,4,6,3,5]=>010010 [3,6,7,4,5,2,1]=>[3,6,4,7,5,2,1]=>[7,6,1,3,5,2,4]=>110010 [3,6,7,5,1,2,4]=>[1,3,6,2,7,5,4]=>[1,4,2,7,6,3,5]=>010110 [3,6,7,5,1,4,2]=>[3,6,7,1,5,4,2]=>[4,7,1,6,5,2,3]=>010110 [3,6,7,5,2,1,4]=>[3,6,2,7,5,1,4]=>[6,3,1,7,5,2,4]=>110110 [3,6,7,5,2,4,1]=>[3,6,2,7,5,4,1]=>[7,3,1,6,5,2,4]=>110110 [3,6,7,5,4,1,2]=>[1,6,7,3,5,4,2]=>[1,7,4,6,5,2,3]=>010110 [3,6,7,5,4,2,1]=>[6,7,3,5,4,2,1]=>[7,6,3,5,4,1,2]=>110110 [3,7,1,2,4,5,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>010001 [3,7,1,2,4,6,5]=>[7,1,3,2,4,6,5]=>[2,4,3,5,7,6,1]=>010011 [3,7,1,2,5,4,6]=>[1,7,3,2,5,4,6]=>[1,4,3,6,5,7,2]=>010101 [3,7,1,2,5,6,4]=>[5,1,3,2,7,6,4]=>[2,4,3,7,1,6,5]=>010101 [3,7,1,2,6,4,5]=>[1,7,3,2,4,6,5]=>[1,4,3,5,7,6,2]=>010011 [3,7,1,2,6,5,4]=>[7,6,1,3,2,5,4]=>[3,5,4,7,6,2,1]=>010111 [3,7,1,4,2,5,6]=>[3,1,4,7,2,5,6]=>[2,5,1,3,6,7,4]=>010001 [3,7,1,4,2,6,5]=>[7,3,1,6,4,2,5]=>[3,6,2,5,7,4,1]=>010011 [3,7,1,4,5,2,6]=>[3,4,1,5,7,2,6]=>[3,6,1,2,4,7,5]=>010001 [3,7,1,4,5,6,2]=>[3,4,1,5,7,6,2]=>[3,7,1,2,4,6,5]=>010001 [3,7,1,4,6,2,5]=>[3,4,1,2,7,6,5]=>[3,4,1,2,7,6,5]=>010011 [3,7,1,4,6,5,2]=>[7,3,4,1,6,5,2]=>[4,7,2,3,6,5,1]=>010011 [3,7,1,5,2,4,6]=>[3,1,2,7,5,4,6]=>[2,3,1,6,5,7,4]=>010101 [3,7,1,5,2,6,4]=>[7,3,1,5,6,2,4]=>[3,6,2,7,4,5,1]=>010101 [3,7,1,5,4,2,6]=>[3,7,5,1,4,2,6]=>[4,6,1,5,3,7,2]=>010101 [3,7,1,5,4,6,2]=>[3,7,5,1,4,6,2]=>[4,7,1,5,3,6,2]=>010101 [3,7,1,5,6,2,4]=>[3,1,5,2,7,6,4]=>[2,4,1,7,3,6,5]=>010101 [3,7,1,5,6,4,2]=>[5,3,7,1,6,4,2]=>[4,7,2,6,1,5,3]=>010101 [3,7,1,6,2,4,5]=>[3,1,2,7,4,6,5]=>[2,3,1,5,7,6,4]=>010011 [3,7,1,6,2,5,4]=>[7,3,1,6,2,5,4]=>[3,5,2,7,6,4,1]=>010111 [3,7,1,6,4,2,5]=>[3,7,1,6,4,2,5]=>[3,6,1,5,7,4,2]=>010011 [3,7,1,6,4,5,2]=>[3,7,4,1,6,5,2]=>[4,7,1,3,6,5,2]=>010011 [3,7,1,6,5,2,4]=>[3,7,1,6,2,5,4]=>[3,5,1,7,6,4,2]=>010111 [3,7,1,6,5,4,2]=>[7,6,3,5,1,4,2]=>[5,7,3,6,4,2,1]=>010111 [3,7,2,1,4,5,6]=>[3,2,1,4,7,5,6]=>[3,2,1,4,6,7,5]=>110001 [3,7,2,1,4,6,5]=>[7,3,2,1,6,4,5]=>[4,3,2,6,7,5,1]=>110011 [3,7,2,1,5,4,6]=>[3,7,2,5,1,4,6]=>[5,3,1,6,4,7,2]=>110101 [3,7,2,1,5,6,4]=>[7,3,2,1,5,6,4]=>[4,3,2,7,5,6,1]=>110101 [3,7,2,1,6,4,5]=>[3,7,2,1,6,4,5]=>[4,3,1,6,7,5,2]=>110011 [3,7,2,1,6,5,4]=>[7,6,3,2,5,1,4]=>[6,4,3,7,5,2,1]=>110111 [3,7,2,4,1,5,6]=>[3,2,4,1,7,5,6]=>[4,2,1,3,6,7,5]=>110001 [3,7,2,4,1,6,5]=>[7,3,2,4,6,1,5]=>[6,3,2,4,7,5,1]=>110011 [3,7,2,4,5,1,6]=>[3,2,4,5,7,1,6]=>[6,2,1,3,4,7,5]=>110001 [3,7,2,4,5,6,1]=>[3,2,4,5,7,6,1]=>[7,2,1,3,4,6,5]=>110001 [3,7,2,4,6,1,5]=>[3,2,4,1,7,6,5]=>[4,2,1,3,7,6,5]=>110011 [3,7,2,4,6,5,1]=>[7,3,2,4,6,5,1]=>[7,3,2,4,6,5,1]=>110011 [3,7,2,5,1,4,6]=>[3,2,1,5,7,4,6]=>[3,2,1,6,4,7,5]=>110101 [3,7,2,5,1,6,4]=>[5,3,2,7,6,1,4]=>[6,3,2,7,1,5,4]=>110101 [3,7,2,5,4,1,6]=>[3,7,2,5,4,1,6]=>[6,3,1,5,4,7,2]=>110101 [3,7,2,5,4,6,1]=>[3,7,2,5,4,6,1]=>[7,3,1,5,4,6,2]=>110101 [3,7,2,5,6,1,4]=>[3,2,1,5,7,6,4]=>[3,2,1,7,4,6,5]=>110101 [3,7,2,5,6,4,1]=>[5,3,2,7,6,4,1]=>[7,3,2,6,1,5,4]=>110101 [3,7,2,6,1,4,5]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>110011 [3,7,2,6,1,5,4]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]=>110111 [3,7,2,6,4,1,5]=>[3,7,2,4,6,1,5]=>[6,3,1,4,7,5,2]=>110011 [3,7,2,6,4,5,1]=>[3,7,2,4,6,5,1]=>[7,3,1,4,6,5,2]=>110011 [3,7,2,6,5,1,4]=>[3,7,2,1,6,5,4]=>[4,3,1,7,6,5,2]=>110111 [3,7,2,6,5,4,1]=>[7,6,3,2,5,4,1]=>[7,4,3,6,5,2,1]=>110111 [3,7,4,1,2,5,6]=>[1,3,4,7,2,5,6]=>[1,5,2,3,6,7,4]=>010001 [3,7,4,1,2,6,5]=>[7,1,3,6,4,2,5]=>[2,6,3,5,7,4,1]=>010011 [3,7,4,1,5,2,6]=>[3,4,7,5,1,2,6]=>[5,6,1,2,4,7,3]=>010001 [3,7,4,1,5,6,2]=>[3,4,7,5,1,6,2]=>[5,7,1,2,4,6,3]=>010001 [3,7,4,1,6,2,5]=>[3,4,7,1,6,2,5]=>[4,6,1,2,7,5,3]=>010011 [3,7,4,1,6,5,2]=>[7,3,6,4,5,1,2]=>[6,7,2,4,5,3,1]=>010011 [3,7,4,2,1,5,6]=>[3,4,7,2,1,5,6]=>[5,4,1,2,6,7,3]=>110001 [3,7,4,2,1,6,5]=>[7,3,6,4,2,1,5]=>[6,5,2,4,7,3,1]=>110011 [3,7,4,2,5,1,6]=>[3,4,7,2,5,1,6]=>[6,4,1,2,5,7,3]=>110001 [3,7,4,2,5,6,1]=>[3,4,7,2,5,6,1]=>[7,4,1,2,5,6,3]=>110001 [3,7,4,2,6,1,5]=>[3,4,7,2,1,6,5]=>[5,4,1,2,7,6,3]=>110011 [3,7,4,2,6,5,1]=>[7,3,6,4,2,5,1]=>[7,5,2,4,6,3,1]=>110011 [3,7,4,5,1,2,6]=>[1,3,4,7,5,2,6]=>[1,6,2,3,5,7,4]=>010001 [3,7,4,5,1,6,2]=>[3,4,7,5,6,1,2]=>[6,7,1,2,4,5,3]=>010001 [3,7,4,5,2,1,6]=>[3,4,7,5,2,1,6]=>[6,5,1,2,4,7,3]=>110001 [3,7,4,5,2,6,1]=>[3,4,7,5,2,6,1]=>[7,5,1,2,4,6,3]=>110001 [3,7,4,5,6,1,2]=>[1,3,4,7,5,6,2]=>[1,7,2,3,5,6,4]=>010001 [3,7,4,5,6,2,1]=>[3,4,7,5,6,2,1]=>[7,6,1,2,4,5,3]=>110001 [3,7,4,6,1,2,5]=>[1,3,4,7,2,6,5]=>[1,5,2,3,7,6,4]=>010011 [3,7,4,6,1,5,2]=>[3,4,7,6,1,5,2]=>[5,7,1,2,6,4,3]=>010011 [3,7,4,6,2,1,5]=>[3,4,7,2,6,1,5]=>[6,4,1,2,7,5,3]=>110011 [3,7,4,6,2,5,1]=>[3,4,7,2,6,5,1]=>[7,4,1,2,6,5,3]=>110011 [3,7,4,6,5,1,2]=>[1,7,3,6,4,5,2]=>[1,7,3,5,6,4,2]=>010011 [3,7,4,6,5,2,1]=>[7,3,6,4,5,2,1]=>[7,6,2,4,5,3,1]=>110011 [3,7,5,1,2,4,6]=>[1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4]=>010101 [3,7,5,1,2,6,4]=>[7,1,3,5,6,2,4]=>[2,6,3,7,4,5,1]=>010101 [3,7,5,1,4,2,6]=>[3,5,7,1,4,2,6]=>[4,6,1,5,2,7,3]=>010101 [3,7,5,1,4,6,2]=>[3,7,1,5,4,6,2]=>[3,7,1,5,4,6,2]=>010101 [3,7,5,1,6,2,4]=>[3,1,7,5,6,2,4]=>[2,6,1,7,4,5,3]=>010101 [3,7,5,1,6,4,2]=>[7,3,5,6,4,1,2]=>[6,7,2,5,3,4,1]=>010101 [3,7,5,2,1,4,6]=>[3,2,7,5,1,4,6]=>[5,2,1,6,4,7,3]=>110101 [3,7,5,2,1,6,4]=>[7,3,5,6,2,1,4]=>[6,5,2,7,3,4,1]=>110101 [3,7,5,2,4,1,6]=>[3,2,7,5,4,1,6]=>[6,2,1,5,4,7,3]=>110101 [3,7,5,2,4,6,1]=>[3,2,7,5,4,6,1]=>[7,2,1,5,4,6,3]=>110101 [3,7,5,2,6,1,4]=>[3,2,7,5,1,6,4]=>[5,2,1,7,4,6,3]=>110101 [3,7,5,2,6,4,1]=>[7,3,5,6,2,4,1]=>[7,5,2,6,3,4,1]=>110101 [3,7,5,4,1,2,6]=>[1,5,7,3,4,2,6]=>[1,6,4,5,2,7,3]=>010101 [3,7,5,4,1,6,2]=>[5,7,3,4,6,1,2]=>[6,7,3,4,1,5,2]=>010101 [3,7,5,4,2,1,6]=>[5,7,3,4,2,1,6]=>[6,5,3,4,1,7,2]=>110101 [3,7,5,4,2,6,1]=>[5,7,3,4,2,6,1]=>[7,5,3,4,1,6,2]=>110101 [3,7,5,4,6,1,2]=>[1,5,7,3,4,6,2]=>[1,7,4,5,2,6,3]=>010101 [3,7,5,4,6,2,1]=>[5,7,3,4,6,2,1]=>[7,6,3,4,1,5,2]=>110101 [3,7,5,6,1,2,4]=>[1,3,2,7,5,6,4]=>[1,3,2,7,5,6,4]=>010101 [3,7,5,6,1,4,2]=>[3,7,1,5,6,4,2]=>[3,7,1,6,4,5,2]=>010101 [3,7,5,6,2,1,4]=>[3,2,7,5,6,1,4]=>[6,2,1,7,4,5,3]=>110101 [3,7,5,6,2,4,1]=>[3,2,7,5,6,4,1]=>[7,2,1,6,4,5,3]=>110101 [3,7,5,6,4,1,2]=>[1,7,3,5,6,4,2]=>[1,7,3,6,4,5,2]=>010101 [3,7,5,6,4,2,1]=>[7,3,5,6,4,2,1]=>[7,6,2,5,3,4,1]=>110101 [3,7,6,1,2,4,5]=>[1,3,2,7,4,6,5]=>[1,3,2,5,7,6,4]=>010011 [3,7,6,1,2,5,4]=>[7,1,3,6,2,5,4]=>[2,5,3,7,6,4,1]=>010111 [3,7,6,1,4,2,5]=>[3,1,7,6,4,2,5]=>[2,6,1,5,7,4,3]=>010011 [3,7,6,1,4,5,2]=>[3,7,1,4,6,5,2]=>[3,7,1,4,6,5,2]=>010011 [3,7,6,1,5,2,4]=>[3,1,7,6,2,5,4]=>[2,5,1,7,6,4,3]=>010111 [3,7,6,1,5,4,2]=>[7,3,6,5,1,4,2]=>[5,7,2,6,4,3,1]=>010111 [3,7,6,2,1,4,5]=>[3,2,7,1,6,4,5]=>[4,2,1,6,7,5,3]=>110011 [3,7,6,2,1,5,4]=>[7,3,6,2,5,1,4]=>[6,4,2,7,5,3,1]=>110111 [3,7,6,2,4,1,5]=>[3,2,7,4,6,1,5]=>[6,2,1,4,7,5,3]=>110011 [3,7,6,2,4,5,1]=>[3,2,7,4,6,5,1]=>[7,2,1,4,6,5,3]=>110011 [3,7,6,2,5,1,4]=>[3,2,7,1,6,5,4]=>[4,2,1,7,6,5,3]=>110111 [3,7,6,2,5,4,1]=>[7,3,6,2,5,4,1]=>[7,4,2,6,5,3,1]=>110111 [3,7,6,4,1,2,5]=>[1,3,7,6,4,2,5]=>[1,6,2,5,7,4,3]=>010011 [3,7,6,4,1,5,2]=>[3,7,6,4,5,1,2]=>[6,7,1,4,5,3,2]=>010011 [3,7,6,4,2,1,5]=>[3,7,6,4,2,1,5]=>[6,5,1,4,7,3,2]=>110011 [3,7,6,4,2,5,1]=>[3,7,6,4,2,5,1]=>[7,5,1,4,6,3,2]=>110011 [3,7,6,4,5,1,2]=>[1,3,7,6,4,5,2]=>[1,7,2,5,6,4,3]=>010011 [3,7,6,4,5,2,1]=>[3,7,6,4,5,2,1]=>[7,6,1,4,5,3,2]=>110011 [3,7,6,5,1,2,4]=>[1,3,7,6,2,5,4]=>[1,5,2,7,6,4,3]=>010111 [3,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[5,7,1,6,4,3,2]=>010111 [3,7,6,5,2,1,4]=>[3,7,6,2,5,1,4]=>[6,4,1,7,5,3,2]=>110111 [3,7,6,5,2,4,1]=>[3,7,6,2,5,4,1]=>[7,4,1,6,5,3,2]=>110111 [3,7,6,5,4,1,2]=>[1,7,6,5,3,4,2]=>[1,7,5,6,4,3,2]=>010111 [3,7,6,5,4,2,1]=>[7,6,5,3,4,2,1]=>[7,6,4,5,3,2,1]=>110111 [4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>001000 [4,1,2,3,5,7,6]=>[7,1,2,4,3,5,6]=>[2,3,5,4,6,7,1]=>001001 [4,1,2,3,6,5,7]=>[6,1,2,4,3,5,7]=>[2,3,5,4,6,1,7]=>001010 [4,1,2,3,6,7,5]=>[6,1,2,4,3,7,5]=>[2,3,5,4,7,1,6]=>001010 [4,1,2,3,7,5,6]=>[1,7,2,4,3,5,6]=>[1,3,5,4,6,7,2]=>001001 [4,1,2,3,7,6,5]=>[7,6,1,2,4,3,5]=>[3,4,6,5,7,2,1]=>001011 [4,1,2,5,3,6,7]=>[4,1,5,2,3,6,7]=>[2,4,5,1,3,6,7]=>001000 [4,1,2,5,3,7,6]=>[7,4,1,5,2,3,6]=>[3,5,6,2,4,7,1]=>001001 [4,1,2,5,6,3,7]=>[4,1,5,2,6,3,7]=>[2,4,6,1,3,5,7]=>001000 [4,1,2,5,6,7,3]=>[4,1,5,2,6,7,3]=>[2,4,7,1,3,5,6]=>001000 [4,1,2,5,7,3,6]=>[4,1,5,2,3,7,6]=>[2,4,5,1,3,7,6]=>001001 [4,1,2,5,7,6,3]=>[7,4,1,5,2,6,3]=>[3,5,7,2,4,6,1]=>001001 [4,1,2,6,3,5,7]=>[4,1,2,6,3,5,7]=>[2,3,5,1,6,4,7]=>001010 [4,1,2,6,3,7,5]=>[6,4,1,7,2,3,5]=>[3,5,6,2,7,1,4]=>001010 [4,1,2,6,5,3,7]=>[6,4,1,5,2,3,7]=>[3,5,6,2,4,1,7]=>001010 [4,1,2,6,5,7,3]=>[6,4,1,5,2,7,3]=>[3,5,7,2,4,1,6]=>001010 [4,1,2,6,7,3,5]=>[4,1,2,6,3,7,5]=>[2,3,5,1,7,4,6]=>001010 [4,1,2,6,7,5,3]=>[6,4,1,7,2,5,3]=>[3,5,7,2,6,1,4]=>001010 [4,1,2,7,3,5,6]=>[4,1,2,3,7,5,6]=>[2,3,4,1,6,7,5]=>001001 [4,1,2,7,3,6,5]=>[7,4,1,2,6,3,5]=>[3,4,6,2,7,5,1]=>001011 [4,1,2,7,5,3,6]=>[4,7,1,5,2,3,6]=>[3,5,6,1,4,7,2]=>001001 [4,1,2,7,5,6,3]=>[7,1,4,5,2,6,3]=>[2,5,7,3,4,6,1]=>001001 [4,1,2,7,6,3,5]=>[4,7,1,2,6,3,5]=>[3,4,6,1,7,5,2]=>001011 [4,1,2,7,6,5,3]=>[7,6,4,1,5,2,3]=>[4,6,7,3,5,2,1]=>001011 [4,1,3,2,5,6,7]=>[4,1,3,2,5,6,7]=>[2,4,3,1,5,6,7]=>011000 [4,1,3,2,5,7,6]=>[7,4,1,3,2,5,6]=>[3,5,4,2,6,7,1]=>011001 [4,1,3,2,6,5,7]=>[6,4,1,3,2,5,7]=>[3,5,4,2,6,1,7]=>011010 [4,1,3,2,6,7,5]=>[6,4,1,3,2,7,5]=>[3,5,4,2,7,1,6]=>011010 [4,1,3,2,7,5,6]=>[4,7,1,3,2,5,6]=>[3,5,4,1,6,7,2]=>011001 [4,1,3,2,7,6,5]=>[7,6,4,1,3,2,5]=>[4,6,5,3,7,2,1]=>011011 [4,1,3,5,2,6,7]=>[4,1,3,5,2,6,7]=>[2,5,3,1,4,6,7]=>011000 [4,1,3,5,2,7,6]=>[7,4,1,3,5,2,6]=>[3,6,4,2,5,7,1]=>011001 [4,1,3,5,6,2,7]=>[4,1,3,5,6,2,7]=>[2,6,3,1,4,5,7]=>011000 [4,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>[2,7,3,1,4,5,6]=>011000 [4,1,3,5,7,2,6]=>[4,1,3,5,2,7,6]=>[2,5,3,1,4,7,6]=>011001 [4,1,3,5,7,6,2]=>[7,4,1,3,5,6,2]=>[3,7,4,2,5,6,1]=>011001 [4,1,3,6,2,5,7]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]=>011010 [4,1,3,6,2,7,5]=>[6,4,1,3,7,2,5]=>[3,6,4,2,7,1,5]=>011010 [4,1,3,6,5,2,7]=>[6,4,1,3,5,2,7]=>[3,6,4,2,5,1,7]=>011010 [4,1,3,6,5,7,2]=>[6,4,1,3,5,7,2]=>[3,7,4,2,5,1,6]=>011010 [4,1,3,6,7,2,5]=>[4,1,3,2,6,7,5]=>[2,4,3,1,7,5,6]=>011010 [4,1,3,6,7,5,2]=>[6,4,1,3,7,5,2]=>[3,7,4,2,6,1,5]=>011010 [4,1,3,7,2,5,6]=>[4,1,3,2,5,7,6]=>[2,4,3,1,5,7,6]=>011001 [4,1,3,7,2,6,5]=>[7,4,1,3,2,6,5]=>[3,5,4,2,7,6,1]=>011011 [4,1,3,7,5,2,6]=>[4,7,1,3,5,2,6]=>[3,6,4,1,5,7,2]=>011001 [4,1,3,7,5,6,2]=>[7,1,4,3,5,6,2]=>[2,7,4,3,5,6,1]=>011001 [4,1,3,7,6,2,5]=>[4,7,1,3,2,6,5]=>[3,5,4,1,7,6,2]=>011011 [4,1,3,7,6,5,2]=>[7,6,4,1,3,5,2]=>[4,7,5,3,6,2,1]=>011011 [4,1,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>001000 [4,1,5,2,3,7,6]=>[7,1,4,5,2,3,6]=>[2,5,6,3,4,7,1]=>001001 [4,1,5,2,6,3,7]=>[4,5,6,1,2,3,7]=>[4,5,6,1,2,3,7]=>001000 [4,1,5,2,6,7,3]=>[4,5,6,1,2,7,3]=>[4,5,7,1,2,3,6]=>001000 [4,1,5,2,7,3,6]=>[4,5,1,7,2,3,6]=>[3,5,6,1,2,7,4]=>001001 [4,1,5,2,7,6,3]=>[7,4,5,6,1,2,3]=>[5,6,7,2,3,4,1]=>001001 [4,1,5,3,2,6,7]=>[4,5,3,1,2,6,7]=>[4,5,3,1,2,6,7]=>011000 [4,1,5,3,2,7,6]=>[7,4,5,3,1,2,6]=>[5,6,4,2,3,7,1]=>011001 [4,1,5,3,6,2,7]=>[4,5,3,1,6,2,7]=>[4,6,3,1,2,5,7]=>011000 [4,1,5,3,6,7,2]=>[4,5,3,1,6,7,2]=>[4,7,3,1,2,5,6]=>011000 [4,1,5,3,7,2,6]=>[4,5,3,1,2,7,6]=>[4,5,3,1,2,7,6]=>011001 [4,1,5,3,7,6,2]=>[7,4,5,3,1,6,2]=>[5,7,4,2,3,6,1]=>011001 [4,1,5,6,2,3,7]=>[1,4,5,2,6,3,7]=>[1,4,6,2,3,5,7]=>001000 [4,1,5,6,2,7,3]=>[4,5,6,1,7,2,3]=>[4,6,7,1,2,3,5]=>001000 [4,1,5,6,3,2,7]=>[4,5,6,1,3,2,7]=>[4,6,5,1,2,3,7]=>011000 [4,1,5,6,3,7,2]=>[4,5,6,1,3,7,2]=>[4,7,5,1,2,3,6]=>011000 [4,1,5,6,7,2,3]=>[1,4,5,2,6,7,3]=>[1,4,7,2,3,5,6]=>001000 [4,1,5,6,7,3,2]=>[4,5,6,1,7,3,2]=>[4,7,6,1,2,3,5]=>011000 [4,1,5,7,2,3,6]=>[1,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]=>001001 [4,1,5,7,2,6,3]=>[4,5,7,1,2,6,3]=>[4,5,7,1,2,6,3]=>001001 [4,1,5,7,3,2,6]=>[4,5,1,7,3,2,6]=>[3,6,5,1,2,7,4]=>011001 [4,1,5,7,3,6,2]=>[4,5,3,1,7,6,2]=>[4,7,3,1,2,6,5]=>011001 [4,1,5,7,6,2,3]=>[1,7,4,5,2,6,3]=>[1,5,7,3,4,6,2]=>001001 [4,1,5,7,6,3,2]=>[7,4,5,6,1,3,2]=>[5,7,6,2,3,4,1]=>011001 [4,1,6,2,3,5,7]=>[1,4,2,6,3,5,7]=>[1,3,5,2,6,4,7]=>001010 [4,1,6,2,3,7,5]=>[6,1,4,7,2,3,5]=>[2,5,6,3,7,1,4]=>001010 [4,1,6,2,5,3,7]=>[4,6,1,5,2,3,7]=>[3,5,6,1,4,2,7]=>001010 [4,1,6,2,5,7,3]=>[4,6,1,5,2,7,3]=>[3,5,7,1,4,2,6]=>001010 [4,1,6,2,7,3,5]=>[4,1,6,7,2,3,5]=>[2,5,6,1,7,3,4]=>001010 [4,1,6,2,7,5,3]=>[6,4,7,5,1,2,3]=>[5,6,7,2,4,1,3]=>001010 [4,1,6,3,2,5,7]=>[4,3,6,1,2,5,7]=>[4,5,2,1,6,3,7]=>011010 [4,1,6,3,2,7,5]=>[6,4,7,3,1,2,5]=>[5,6,4,2,7,1,3]=>011010 [4,1,6,3,5,2,7]=>[4,6,1,3,5,2,7]=>[3,6,4,1,5,2,7]=>011010 [4,1,6,3,5,7,2]=>[4,6,1,3,5,7,2]=>[3,7,4,1,5,2,6]=>011010 [4,1,6,3,7,2,5]=>[4,3,6,1,2,7,5]=>[4,5,2,1,7,3,6]=>011010 [4,1,6,3,7,5,2]=>[6,4,7,3,1,5,2]=>[5,7,4,2,6,1,3]=>011010 [4,1,6,5,2,3,7]=>[1,6,4,5,2,3,7]=>[1,5,6,3,4,2,7]=>001010 [4,1,6,5,2,7,3]=>[6,4,5,7,1,2,3]=>[5,6,7,2,3,1,4]=>001010 [4,1,6,5,3,2,7]=>[6,4,5,3,1,2,7]=>[5,6,4,2,3,1,7]=>011010 [4,1,6,5,3,7,2]=>[6,4,5,3,1,7,2]=>[5,7,4,2,3,1,6]=>011010 [4,1,6,5,7,2,3]=>[1,6,4,5,2,7,3]=>[1,5,7,3,4,2,6]=>001010 [4,1,6,5,7,3,2]=>[6,4,5,7,1,3,2]=>[5,7,6,2,3,1,4]=>011010 [4,1,6,7,2,3,5]=>[1,4,2,6,3,7,5]=>[1,3,5,2,7,4,6]=>001010 [4,1,6,7,2,5,3]=>[4,6,1,7,2,5,3]=>[3,5,7,1,6,2,4]=>001010 [4,1,6,7,3,2,5]=>[4,1,6,7,3,2,5]=>[2,6,5,1,7,3,4]=>011010 [4,1,6,7,3,5,2]=>[4,6,1,3,7,5,2]=>[3,7,4,1,6,2,5]=>011010 [4,1,6,7,5,2,3]=>[1,6,4,7,2,5,3]=>[1,5,7,3,6,2,4]=>001010 [4,1,6,7,5,3,2]=>[6,4,7,5,1,3,2]=>[5,7,6,2,4,1,3]=>011010 [4,1,7,2,3,5,6]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5]=>001001 [4,1,7,2,3,6,5]=>[7,1,4,2,6,3,5]=>[2,4,6,3,7,5,1]=>001011 [4,1,7,2,5,3,6]=>[4,1,7,5,2,3,6]=>[2,5,6,1,4,7,3]=>001001 [4,1,7,2,5,6,3]=>[4,7,1,2,5,6,3]=>[3,4,7,1,5,6,2]=>001001 [4,1,7,2,6,3,5]=>[4,1,7,2,6,3,5]=>[2,4,6,1,7,5,3]=>001011 [4,1,7,2,6,5,3]=>[7,4,6,1,5,2,3]=>[4,6,7,2,5,3,1]=>001011 [4,1,7,3,2,5,6]=>[4,3,1,7,2,5,6]=>[3,5,2,1,6,7,4]=>011001 [4,1,7,3,2,6,5]=>[7,4,3,6,1,2,5]=>[5,6,3,2,7,4,1]=>011011 [4,1,7,3,5,2,6]=>[4,1,7,3,5,2,6]=>[2,6,4,1,5,7,3]=>011001 [4,1,7,3,5,6,2]=>[4,3,1,7,5,6,2]=>[3,7,2,1,5,6,4]=>011001 [4,1,7,3,6,2,5]=>[4,1,7,3,2,6,5]=>[2,5,4,1,7,6,3]=>011011 [4,1,7,3,6,5,2]=>[7,4,6,1,3,5,2]=>[4,7,5,2,6,3,1]=>011011 [4,1,7,5,2,3,6]=>[1,4,7,5,2,3,6]=>[1,5,6,2,4,7,3]=>001001 [4,1,7,5,2,6,3]=>[4,7,5,6,1,2,3]=>[5,6,7,1,3,4,2]=>001001 [4,1,7,5,3,2,6]=>[4,7,5,3,1,2,6]=>[5,6,4,1,3,7,2]=>011001 [4,1,7,5,3,6,2]=>[4,7,5,3,1,6,2]=>[5,7,4,1,3,6,2]=>011001 [4,1,7,5,6,2,3]=>[1,4,7,5,2,6,3]=>[1,5,7,2,4,6,3]=>001001 [4,1,7,5,6,3,2]=>[4,7,5,6,1,3,2]=>[5,7,6,1,3,4,2]=>011001 [4,1,7,6,2,3,5]=>[1,4,7,2,6,3,5]=>[1,4,6,2,7,5,3]=>001011 [4,1,7,6,2,5,3]=>[4,7,6,1,5,2,3]=>[4,6,7,1,5,3,2]=>001011 [4,1,7,6,3,2,5]=>[4,7,3,6,1,2,5]=>[5,6,3,1,7,4,2]=>011011 [4,1,7,6,3,5,2]=>[4,7,6,1,3,5,2]=>[4,7,5,1,6,3,2]=>011011 [4,1,7,6,5,2,3]=>[1,7,6,4,5,2,3]=>[1,6,7,4,5,3,2]=>001011 [4,1,7,6,5,3,2]=>[7,6,4,5,3,1,2]=>[6,7,5,3,4,2,1]=>011011 [4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[3,1,4,2,5,6,7]=>101000 [4,2,1,3,5,7,6]=>[7,2,4,1,3,5,6]=>[4,2,5,3,6,7,1]=>101001 [4,2,1,3,6,5,7]=>[6,2,4,1,3,5,7]=>[4,2,5,3,6,1,7]=>101010 [4,2,1,3,6,7,5]=>[6,2,4,1,3,7,5]=>[4,2,5,3,7,1,6]=>101010 [4,2,1,3,7,5,6]=>[2,7,4,1,3,5,6]=>[4,1,5,3,6,7,2]=>101001 [4,2,1,3,7,6,5]=>[7,6,2,4,1,3,5]=>[5,3,6,4,7,2,1]=>101011 [4,2,1,5,3,6,7]=>[4,5,2,1,3,6,7]=>[4,3,5,1,2,6,7]=>101000 [4,2,1,5,3,7,6]=>[7,4,5,2,1,3,6]=>[5,4,6,2,3,7,1]=>101001 [4,2,1,5,6,3,7]=>[4,5,2,1,6,3,7]=>[4,3,6,1,2,5,7]=>101000 [4,2,1,5,6,7,3]=>[4,5,2,1,6,7,3]=>[4,3,7,1,2,5,6]=>101000 [4,2,1,5,7,3,6]=>[4,5,2,1,3,7,6]=>[4,3,5,1,2,7,6]=>101001 [4,2,1,5,7,6,3]=>[7,4,5,2,1,6,3]=>[5,4,7,2,3,6,1]=>101001 [4,2,1,6,3,5,7]=>[4,2,6,1,3,5,7]=>[4,2,5,1,6,3,7]=>101010 [4,2,1,6,3,7,5]=>[6,4,7,2,1,3,5]=>[5,4,6,2,7,1,3]=>101010 [4,2,1,6,5,3,7]=>[6,4,5,2,1,3,7]=>[5,4,6,2,3,1,7]=>101010 [4,2,1,6,5,7,3]=>[6,4,5,2,1,7,3]=>[5,4,7,2,3,1,6]=>101010 [4,2,1,6,7,3,5]=>[4,2,6,1,3,7,5]=>[4,2,5,1,7,3,6]=>101010 [4,2,1,6,7,5,3]=>[6,4,7,2,1,5,3]=>[5,4,7,2,6,1,3]=>101010 [4,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]=>[3,2,5,1,6,7,4]=>101001 [4,2,1,7,3,6,5]=>[7,4,2,6,1,3,5]=>[5,3,6,2,7,4,1]=>101011 [4,2,1,7,5,3,6]=>[4,7,5,2,1,3,6]=>[5,4,6,1,3,7,2]=>101001 [4,2,1,7,5,6,3]=>[4,7,5,2,1,6,3]=>[5,4,7,1,3,6,2]=>101001 [4,2,1,7,6,3,5]=>[4,7,2,6,1,3,5]=>[5,3,6,1,7,4,2]=>101011 [4,2,1,7,6,5,3]=>[7,6,4,5,2,1,3]=>[6,5,7,3,4,2,1]=>101011 [4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]=>[4,1,3,2,5,6,7]=>101000 [4,2,3,1,5,7,6]=>[7,2,4,3,1,5,6]=>[5,2,4,3,6,7,1]=>101001 [4,2,3,1,6,5,7]=>[6,2,4,3,1,5,7]=>[5,2,4,3,6,1,7]=>101010 [4,2,3,1,6,7,5]=>[6,2,4,3,1,7,5]=>[5,2,4,3,7,1,6]=>101010 [4,2,3,1,7,5,6]=>[2,7,4,3,1,5,6]=>[5,1,4,3,6,7,2]=>101001 [4,2,3,1,7,6,5]=>[7,6,2,4,3,1,5]=>[6,3,5,4,7,2,1]=>101011 [4,2,3,5,1,6,7]=>[2,4,3,5,1,6,7]=>[5,1,3,2,4,6,7]=>101000 [4,2,3,5,1,7,6]=>[7,2,4,3,5,1,6]=>[6,2,4,3,5,7,1]=>101001 [4,2,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[6,1,3,2,4,5,7]=>101000 [4,2,3,5,6,7,1]=>[2,4,3,5,6,7,1]=>[7,1,3,2,4,5,6]=>101000 [4,2,3,5,7,1,6]=>[2,4,3,5,1,7,6]=>[5,1,3,2,4,7,6]=>101001 [4,2,3,5,7,6,1]=>[7,2,4,3,5,6,1]=>[7,2,4,3,5,6,1]=>101001 [4,2,3,6,1,5,7]=>[2,4,3,1,6,5,7]=>[4,1,3,2,6,5,7]=>101010 [4,2,3,6,1,7,5]=>[6,2,4,3,7,1,5]=>[6,2,4,3,7,1,5]=>101010 [4,2,3,6,5,1,7]=>[6,2,4,3,5,1,7]=>[6,2,4,3,5,1,7]=>101010 [4,2,3,6,5,7,1]=>[6,2,4,3,5,7,1]=>[7,2,4,3,5,1,6]=>101010 [4,2,3,6,7,1,5]=>[2,4,3,1,6,7,5]=>[4,1,3,2,7,5,6]=>101010 [4,2,3,6,7,5,1]=>[6,2,4,3,7,5,1]=>[7,2,4,3,6,1,5]=>101010 [4,2,3,7,1,5,6]=>[2,4,3,1,5,7,6]=>[4,1,3,2,5,7,6]=>101001 [4,2,3,7,1,6,5]=>[7,2,4,3,1,6,5]=>[5,2,4,3,7,6,1]=>101011 [4,2,3,7,5,1,6]=>[2,7,4,3,5,1,6]=>[6,1,4,3,5,7,2]=>101001 [4,2,3,7,5,6,1]=>[2,7,4,3,5,6,1]=>[7,1,4,3,5,6,2]=>101001 [4,2,3,7,6,1,5]=>[2,7,4,3,1,6,5]=>[5,1,4,3,7,6,2]=>101011 [4,2,3,7,6,5,1]=>[7,6,2,4,3,5,1]=>[7,3,5,4,6,2,1]=>101011 [4,2,5,1,3,6,7]=>[2,4,1,5,3,6,7]=>[3,1,5,2,4,6,7]=>101000 [4,2,5,1,3,7,6]=>[7,2,4,1,5,3,6]=>[4,2,6,3,5,7,1]=>101001 [4,2,5,1,6,3,7]=>[4,5,2,6,1,3,7]=>[5,3,6,1,2,4,7]=>101000 [4,2,5,1,6,7,3]=>[4,5,2,6,1,7,3]=>[5,3,7,1,2,4,6]=>101000 [4,2,5,1,7,3,6]=>[4,5,2,1,7,3,6]=>[4,3,6,1,2,7,5]=>101001 [4,2,5,1,7,6,3]=>[7,4,5,2,6,1,3]=>[6,4,7,2,3,5,1]=>101001 [4,2,5,3,1,6,7]=>[4,5,2,3,1,6,7]=>[5,3,4,1,2,6,7]=>101000 [4,2,5,3,1,7,6]=>[7,4,5,2,3,1,6]=>[6,4,5,2,3,7,1]=>101001 [4,2,5,3,6,1,7]=>[4,5,2,3,6,1,7]=>[6,3,4,1,2,5,7]=>101000 [4,2,5,3,6,7,1]=>[4,5,2,3,6,7,1]=>[7,3,4,1,2,5,6]=>101000 [4,2,5,3,7,1,6]=>[4,5,2,3,1,7,6]=>[5,3,4,1,2,7,6]=>101001 [4,2,5,3,7,6,1]=>[7,4,5,2,3,6,1]=>[7,4,5,2,3,6,1]=>101001 [4,2,5,6,1,3,7]=>[2,4,1,5,6,3,7]=>[3,1,6,2,4,5,7]=>101000 [4,2,5,6,1,7,3]=>[4,5,2,6,7,1,3]=>[6,3,7,1,2,4,5]=>101000 [4,2,5,6,3,1,7]=>[4,5,2,6,3,1,7]=>[6,3,5,1,2,4,7]=>101000 [4,2,5,6,3,7,1]=>[4,5,2,6,3,7,1]=>[7,3,5,1,2,4,6]=>101000 [4,2,5,6,7,1,3]=>[2,4,1,5,6,7,3]=>[3,1,7,2,4,5,6]=>101000 [4,2,5,6,7,3,1]=>[4,5,2,6,7,3,1]=>[7,3,6,1,2,4,5]=>101000 [4,2,5,7,1,3,6]=>[2,4,1,5,3,7,6]=>[3,1,5,2,4,7,6]=>101001 [4,2,5,7,1,6,3]=>[4,5,2,7,1,6,3]=>[5,3,7,1,2,6,4]=>101001 [4,2,5,7,3,1,6]=>[4,5,2,3,7,1,6]=>[6,3,4,1,2,7,5]=>101001 [4,2,5,7,3,6,1]=>[4,5,2,3,7,6,1]=>[7,3,4,1,2,6,5]=>101001 [4,2,5,7,6,1,3]=>[2,7,4,1,5,6,3]=>[4,1,7,3,5,6,2]=>101001 [4,2,5,7,6,3,1]=>[7,4,5,2,6,3,1]=>[7,4,6,2,3,5,1]=>101001 [4,2,6,1,3,5,7]=>[2,4,1,3,6,5,7]=>[3,1,4,2,6,5,7]=>101010 [4,2,6,1,3,7,5]=>[6,2,4,1,7,3,5]=>[4,2,6,3,7,1,5]=>101010 [4,2,6,1,5,3,7]=>[4,6,2,1,5,3,7]=>[4,3,6,1,5,2,7]=>101010 [4,2,6,1,5,7,3]=>[4,6,2,1,5,7,3]=>[4,3,7,1,5,2,6]=>101010 [4,2,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>101010 [4,2,6,1,7,5,3]=>[6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>101010 [4,2,6,3,1,5,7]=>[4,2,6,3,1,5,7]=>[5,2,4,1,6,3,7]=>101010 [4,2,6,3,1,7,5]=>[6,4,7,2,3,1,5]=>[6,4,5,2,7,1,3]=>101010 [4,2,6,3,5,1,7]=>[4,2,6,3,5,1,7]=>[6,2,4,1,5,3,7]=>101010 [4,2,6,3,5,7,1]=>[4,2,6,3,5,7,1]=>[7,2,4,1,5,3,6]=>101010 [4,2,6,3,7,1,5]=>[4,2,6,3,1,7,5]=>[5,2,4,1,7,3,6]=>101010 [4,2,6,3,7,5,1]=>[6,4,7,2,3,5,1]=>[7,4,5,2,6,1,3]=>101010 [4,2,6,5,1,3,7]=>[2,6,4,1,5,3,7]=>[4,1,6,3,5,2,7]=>101010 [4,2,6,5,1,7,3]=>[6,4,5,2,7,1,3]=>[6,4,7,2,3,1,5]=>101010 [4,2,6,5,3,1,7]=>[6,4,5,2,3,1,7]=>[6,4,5,2,3,1,7]=>101010 [4,2,6,5,3,7,1]=>[6,4,5,2,3,7,1]=>[7,4,5,2,3,1,6]=>101010 [4,2,6,5,7,1,3]=>[2,6,4,1,5,7,3]=>[4,1,7,3,5,2,6]=>101010 [4,2,6,5,7,3,1]=>[6,4,5,2,7,3,1]=>[7,4,6,2,3,1,5]=>101010 [4,2,6,7,1,3,5]=>[2,4,1,3,6,7,5]=>[3,1,4,2,7,5,6]=>101010 [4,2,6,7,1,5,3]=>[4,6,2,1,7,5,3]=>[4,3,7,1,6,2,5]=>101010 [4,2,6,7,3,1,5]=>[4,2,6,3,7,1,5]=>[6,2,4,1,7,3,5]=>101010 [4,2,6,7,3,5,1]=>[4,2,6,3,7,5,1]=>[7,2,4,1,6,3,5]=>101010 [4,2,6,7,5,1,3]=>[2,6,4,1,7,5,3]=>[4,1,7,3,6,2,5]=>101010 [4,2,6,7,5,3,1]=>[6,4,7,2,5,3,1]=>[7,4,6,2,5,1,3]=>101010 [4,2,7,1,3,5,6]=>[2,4,1,3,5,7,6]=>[3,1,4,2,5,7,6]=>101001 [4,2,7,1,3,6,5]=>[7,2,4,1,3,6,5]=>[4,2,5,3,7,6,1]=>101011 [4,2,7,1,5,3,6]=>[4,2,7,1,5,3,6]=>[4,2,6,1,5,7,3]=>101001 [4,2,7,1,5,6,3]=>[4,5,2,1,7,6,3]=>[4,3,7,1,2,6,5]=>101001 [4,2,7,1,6,3,5]=>[4,2,7,1,3,6,5]=>[4,2,5,1,7,6,3]=>101011 [4,2,7,1,6,5,3]=>[7,4,6,2,1,5,3]=>[5,4,7,2,6,3,1]=>101011 [4,2,7,3,1,5,6]=>[4,2,3,7,1,5,6]=>[5,2,3,1,6,7,4]=>101001 [4,2,7,3,1,6,5]=>[7,4,2,6,3,1,5]=>[6,3,5,2,7,4,1]=>101011 [4,2,7,3,5,1,6]=>[4,2,3,7,5,1,6]=>[6,2,3,1,5,7,4]=>101001 [4,2,7,3,5,6,1]=>[4,2,3,7,5,6,1]=>[7,2,3,1,5,6,4]=>101001 [4,2,7,3,6,1,5]=>[4,2,3,7,1,6,5]=>[5,2,3,1,7,6,4]=>101011 [4,2,7,3,6,5,1]=>[7,4,2,6,3,5,1]=>[7,3,5,2,6,4,1]=>101011 [4,2,7,5,1,3,6]=>[2,4,7,1,5,3,6]=>[4,1,6,2,5,7,3]=>101001 [4,2,7,5,1,6,3]=>[4,7,5,2,6,1,3]=>[6,4,7,1,3,5,2]=>101001 [4,2,7,5,3,1,6]=>[4,7,5,2,3,1,6]=>[6,4,5,1,3,7,2]=>101001 [4,2,7,5,3,6,1]=>[4,7,5,2,3,6,1]=>[7,4,5,1,3,6,2]=>101001 [4,2,7,5,6,1,3]=>[2,4,7,1,5,6,3]=>[4,1,7,2,5,6,3]=>101001 [4,2,7,5,6,3,1]=>[4,7,5,2,6,3,1]=>[7,4,6,1,3,5,2]=>101001 [4,2,7,6,1,3,5]=>[2,4,7,1,3,6,5]=>[4,1,5,2,7,6,3]=>101011 [4,2,7,6,1,5,3]=>[4,7,6,2,1,5,3]=>[5,4,7,1,6,3,2]=>101011 [4,2,7,6,3,1,5]=>[4,7,2,6,3,1,5]=>[6,3,5,1,7,4,2]=>101011 [4,2,7,6,3,5,1]=>[4,7,2,6,3,5,1]=>[7,3,5,1,6,4,2]=>101011 [4,2,7,6,5,1,3]=>[2,7,6,4,1,5,3]=>[5,1,7,4,6,3,2]=>101011 [4,2,7,6,5,3,1]=>[7,6,4,5,2,3,1]=>[7,5,6,3,4,2,1]=>101011 [4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>011000 [4,3,1,2,5,7,6]=>[7,1,4,3,2,5,6]=>[2,5,4,3,6,7,1]=>011001 [4,3,1,2,6,5,7]=>[6,1,4,3,2,5,7]=>[2,5,4,3,6,1,7]=>011010 [4,3,1,2,6,7,5]=>[6,1,4,3,2,7,5]=>[2,5,4,3,7,1,6]=>011010 [4,3,1,2,7,5,6]=>[1,7,4,3,2,5,6]=>[1,5,4,3,6,7,2]=>011001 [4,3,1,2,7,6,5]=>[7,6,1,4,3,2,5]=>[3,6,5,4,7,2,1]=>011011 [4,3,1,5,2,6,7]=>[4,3,5,1,2,6,7]=>[4,5,2,1,3,6,7]=>011000 [4,3,1,5,2,7,6]=>[7,4,3,5,1,2,6]=>[5,6,3,2,4,7,1]=>011001 [4,3,1,5,6,2,7]=>[4,3,5,1,6,2,7]=>[4,6,2,1,3,5,7]=>011000 [4,3,1,5,6,7,2]=>[4,3,5,1,6,7,2]=>[4,7,2,1,3,5,6]=>011000 [4,3,1,5,7,2,6]=>[4,3,5,1,2,7,6]=>[4,5,2,1,3,7,6]=>011001 [4,3,1,5,7,6,2]=>[7,4,3,5,1,6,2]=>[5,7,3,2,4,6,1]=>011001 [4,3,1,6,2,5,7]=>[4,3,1,6,2,5,7]=>[3,5,2,1,6,4,7]=>011010 [4,3,1,6,2,7,5]=>[6,4,3,7,1,2,5]=>[5,6,3,2,7,1,4]=>011010 [4,3,1,6,5,2,7]=>[6,4,3,5,1,2,7]=>[5,6,3,2,4,1,7]=>011010 [4,3,1,6,5,7,2]=>[6,4,3,5,1,7,2]=>[5,7,3,2,4,1,6]=>011010 [4,3,1,6,7,2,5]=>[4,3,1,6,2,7,5]=>[3,5,2,1,7,4,6]=>011010 [4,3,1,6,7,5,2]=>[6,4,3,7,1,5,2]=>[5,7,3,2,6,1,4]=>011010 [4,3,1,7,2,5,6]=>[4,3,1,2,7,5,6]=>[3,4,2,1,6,7,5]=>011001 [4,3,1,7,2,6,5]=>[7,4,3,1,6,2,5]=>[4,6,3,2,7,5,1]=>011011 [4,3,1,7,5,2,6]=>[4,7,3,5,1,2,6]=>[5,6,3,1,4,7,2]=>011001 [4,3,1,7,5,6,2]=>[4,7,3,5,1,6,2]=>[5,7,3,1,4,6,2]=>011001 [4,3,1,7,6,2,5]=>[4,7,3,1,6,2,5]=>[4,6,3,1,7,5,2]=>011011 [4,3,1,7,6,5,2]=>[7,6,4,3,5,1,2]=>[6,7,4,3,5,2,1]=>011011 [4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>111000 [4,3,2,1,5,7,6]=>[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1]=>111001 [4,3,2,1,6,5,7]=>[6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7]=>111010 [4,3,2,1,6,7,5]=>[6,4,3,2,1,7,5]=>[5,4,3,2,7,1,6]=>111010 [4,3,2,1,7,5,6]=>[4,7,3,2,1,5,6]=>[5,4,3,1,6,7,2]=>111001 [4,3,2,1,7,6,5]=>[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1]=>111011 [4,3,2,5,1,6,7]=>[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7]=>111000 [4,3,2,5,1,7,6]=>[7,4,3,2,5,1,6]=>[6,4,3,2,5,7,1]=>111001 [4,3,2,5,6,1,7]=>[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7]=>111000 [4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6]=>111000 [4,3,2,5,7,1,6]=>[4,3,2,5,1,7,6]=>[5,3,2,1,4,7,6]=>111001 [4,3,2,5,7,6,1]=>[7,4,3,2,5,6,1]=>[7,4,3,2,5,6,1]=>111001 [4,3,2,6,1,5,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>111010 [4,3,2,6,1,7,5]=>[6,4,3,2,7,1,5]=>[6,4,3,2,7,1,5]=>111010 [4,3,2,6,5,1,7]=>[6,4,3,2,5,1,7]=>[6,4,3,2,5,1,7]=>111010 [4,3,2,6,5,7,1]=>[6,4,3,2,5,7,1]=>[7,4,3,2,5,1,6]=>111010 [4,3,2,6,7,1,5]=>[4,3,2,1,6,7,5]=>[4,3,2,1,7,5,6]=>111010 [4,3,2,6,7,5,1]=>[6,4,3,2,7,5,1]=>[7,4,3,2,6,1,5]=>111010 [4,3,2,7,1,5,6]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>111001 [4,3,2,7,1,6,5]=>[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]=>111011 [4,3,2,7,5,1,6]=>[4,7,3,2,5,1,6]=>[6,4,3,1,5,7,2]=>111001 [4,3,2,7,5,6,1]=>[4,7,3,2,5,6,1]=>[7,4,3,1,5,6,2]=>111001 [4,3,2,7,6,1,5]=>[4,7,3,2,1,6,5]=>[5,4,3,1,7,6,2]=>111011 [4,3,2,7,6,5,1]=>[7,6,4,3,2,5,1]=>[7,5,4,3,6,2,1]=>111011 [4,3,5,1,2,6,7]=>[1,4,3,5,2,6,7]=>[1,5,3,2,4,6,7]=>011000 [4,3,5,1,2,7,6]=>[7,1,4,3,5,2,6]=>[2,6,4,3,5,7,1]=>011001 [4,3,5,1,6,2,7]=>[4,3,5,6,1,2,7]=>[5,6,2,1,3,4,7]=>011000 [4,3,5,1,6,7,2]=>[4,3,5,6,1,7,2]=>[5,7,2,1,3,4,6]=>011000 [4,3,5,1,7,2,6]=>[4,3,5,1,7,2,6]=>[4,6,2,1,3,7,5]=>011001 [4,3,5,1,7,6,2]=>[7,4,3,5,6,1,2]=>[6,7,3,2,4,5,1]=>011001 [4,3,5,2,1,6,7]=>[4,3,5,2,1,6,7]=>[5,4,2,1,3,6,7]=>111000 [4,3,5,2,1,7,6]=>[7,4,3,5,2,1,6]=>[6,5,3,2,4,7,1]=>111001 [4,3,5,2,6,1,7]=>[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7]=>111000 [4,3,5,2,6,7,1]=>[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6]=>111000 [4,3,5,2,7,1,6]=>[4,3,5,2,1,7,6]=>[5,4,2,1,3,7,6]=>111001 [4,3,5,2,7,6,1]=>[7,4,3,5,2,6,1]=>[7,5,3,2,4,6,1]=>111001 [4,3,5,6,1,2,7]=>[1,4,3,5,6,2,7]=>[1,6,3,2,4,5,7]=>011000 [4,3,5,6,1,7,2]=>[4,3,5,6,7,1,2]=>[6,7,2,1,3,4,5]=>011000 [4,3,5,6,2,1,7]=>[4,3,5,6,2,1,7]=>[6,5,2,1,3,4,7]=>111000 [4,3,5,6,2,7,1]=>[4,3,5,6,2,7,1]=>[7,5,2,1,3,4,6]=>111000 [4,3,5,6,7,1,2]=>[1,4,3,5,6,7,2]=>[1,7,3,2,4,5,6]=>011000 [4,3,5,6,7,2,1]=>[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5]=>111000 [4,3,5,7,1,2,6]=>[1,4,3,5,2,7,6]=>[1,5,3,2,4,7,6]=>011001 [4,3,5,7,1,6,2]=>[4,3,5,7,1,6,2]=>[5,7,2,1,3,6,4]=>011001 [4,3,5,7,2,1,6]=>[4,3,5,2,7,1,6]=>[6,4,2,1,3,7,5]=>111001 [4,3,5,7,2,6,1]=>[4,3,5,2,7,6,1]=>[7,4,2,1,3,6,5]=>111001 [4,3,5,7,6,1,2]=>[1,7,4,3,5,6,2]=>[1,7,4,3,5,6,2]=>011001 [4,3,5,7,6,2,1]=>[7,4,3,5,6,2,1]=>[7,6,3,2,4,5,1]=>111001 [4,3,6,1,2,5,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>011010 [4,3,6,1,2,7,5]=>[6,1,4,3,7,2,5]=>[2,6,4,3,7,1,5]=>011010 [4,3,6,1,5,2,7]=>[4,3,6,1,5,2,7]=>[4,6,2,1,5,3,7]=>011010 [4,3,6,1,5,7,2]=>[4,3,6,1,5,7,2]=>[4,7,2,1,5,3,6]=>011010 [4,3,6,1,7,2,5]=>[4,3,1,6,7,2,5]=>[3,6,2,1,7,4,5]=>011010 [4,3,6,1,7,5,2]=>[6,4,3,7,5,1,2]=>[6,7,3,2,5,1,4]=>011010 [4,3,6,2,1,5,7]=>[4,3,2,6,1,5,7]=>[5,3,2,1,6,4,7]=>111010 [4,3,6,2,1,7,5]=>[6,4,3,7,2,1,5]=>[6,5,3,2,7,1,4]=>111010 [4,3,6,2,5,1,7]=>[4,3,2,6,5,1,7]=>[6,3,2,1,5,4,7]=>111010 [4,3,6,2,5,7,1]=>[4,3,2,6,5,7,1]=>[7,3,2,1,5,4,6]=>111010 [4,3,6,2,7,1,5]=>[4,3,2,6,1,7,5]=>[5,3,2,1,7,4,6]=>111010 [4,3,6,2,7,5,1]=>[6,4,3,7,2,5,1]=>[7,5,3,2,6,1,4]=>111010 [4,3,6,5,1,2,7]=>[1,6,4,3,5,2,7]=>[1,6,4,3,5,2,7]=>011010 [4,3,6,5,1,7,2]=>[6,4,3,5,7,1,2]=>[6,7,3,2,4,1,5]=>011010 [4,3,6,5,2,1,7]=>[6,4,3,5,2,1,7]=>[6,5,3,2,4,1,7]=>111010 [4,3,6,5,2,7,1]=>[6,4,3,5,2,7,1]=>[7,5,3,2,4,1,6]=>111010 [4,3,6,5,7,1,2]=>[1,6,4,3,5,7,2]=>[1,7,4,3,5,2,6]=>011010 [4,3,6,5,7,2,1]=>[6,4,3,5,7,2,1]=>[7,6,3,2,4,1,5]=>111010 [4,3,6,7,1,2,5]=>[1,4,3,2,6,7,5]=>[1,4,3,2,7,5,6]=>011010 [4,3,6,7,1,5,2]=>[4,3,6,1,7,5,2]=>[4,7,2,1,6,3,5]=>011010 [4,3,6,7,2,1,5]=>[4,3,2,6,7,1,5]=>[6,3,2,1,7,4,5]=>111010 [4,3,6,7,2,5,1]=>[4,3,2,6,7,5,1]=>[7,3,2,1,6,4,5]=>111010 [4,3,6,7,5,1,2]=>[1,6,4,3,7,5,2]=>[1,7,4,3,6,2,5]=>011010 [4,3,6,7,5,2,1]=>[6,4,3,7,5,2,1]=>[7,6,3,2,5,1,4]=>111010 [4,3,7,1,2,5,6]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>011001 [4,3,7,1,2,6,5]=>[7,1,4,3,2,6,5]=>[2,5,4,3,7,6,1]=>011011 [4,3,7,1,5,2,6]=>[4,3,1,7,5,2,6]=>[3,6,2,1,5,7,4]=>011001 [4,3,7,1,5,6,2]=>[4,3,5,1,7,6,2]=>[4,7,2,1,3,6,5]=>011001 [4,3,7,1,6,2,5]=>[4,3,1,7,2,6,5]=>[3,5,2,1,7,6,4]=>011011 [4,3,7,1,6,5,2]=>[7,4,3,6,1,5,2]=>[5,7,3,2,6,4,1]=>011011 [4,3,7,2,1,5,6]=>[4,3,2,1,7,5,6]=>[4,3,2,1,6,7,5]=>111001 [4,3,7,2,1,6,5]=>[7,4,3,2,6,1,5]=>[6,4,3,2,7,5,1]=>111011 [4,3,7,2,5,1,6]=>[4,3,2,5,7,1,6]=>[6,3,2,1,4,7,5]=>111001 [4,3,7,2,5,6,1]=>[4,3,2,5,7,6,1]=>[7,3,2,1,4,6,5]=>111001 [4,3,7,2,6,1,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>111011 [4,3,7,2,6,5,1]=>[7,4,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>111011 [4,3,7,5,1,2,6]=>[1,4,7,3,5,2,6]=>[1,6,4,2,5,7,3]=>011001 [4,3,7,5,1,6,2]=>[4,7,3,5,6,1,2]=>[6,7,3,1,4,5,2]=>011001 [4,3,7,5,2,1,6]=>[4,7,3,5,2,1,6]=>[6,5,3,1,4,7,2]=>111001 [4,3,7,5,2,6,1]=>[4,7,3,5,2,6,1]=>[7,5,3,1,4,6,2]=>111001 [4,3,7,5,6,1,2]=>[1,4,7,3,5,6,2]=>[1,7,4,2,5,6,3]=>011001 [4,3,7,5,6,2,1]=>[4,7,3,5,6,2,1]=>[7,6,3,1,4,5,2]=>111001 [4,3,7,6,1,2,5]=>[1,4,7,3,2,6,5]=>[1,5,4,2,7,6,3]=>011011 [4,3,7,6,1,5,2]=>[4,7,3,6,1,5,2]=>[5,7,3,1,6,4,2]=>011011 [4,3,7,6,2,1,5]=>[4,7,3,2,6,1,5]=>[6,4,3,1,7,5,2]=>111011 [4,3,7,6,2,5,1]=>[4,7,3,2,6,5,1]=>[7,4,3,1,6,5,2]=>111011 [4,3,7,6,5,1,2]=>[1,7,6,4,3,5,2]=>[1,7,5,4,6,3,2]=>011011 [4,3,7,6,5,2,1]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>111011 [4,5,1,2,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,3,4,6,7]=>001000 [4,5,1,2,3,7,6]=>[7,1,2,4,5,3,6]=>[2,3,6,4,5,7,1]=>001001 [4,5,1,2,6,3,7]=>[4,1,5,6,2,3,7]=>[2,5,6,1,3,4,7]=>001000 [4,5,1,2,6,7,3]=>[4,1,5,6,2,7,3]=>[2,5,7,1,3,4,6]=>001000 [4,5,1,2,7,3,6]=>[4,1,5,2,7,3,6]=>[2,4,6,1,3,7,5]=>001001 [4,5,1,2,7,6,3]=>[7,4,1,5,6,2,3]=>[3,6,7,2,4,5,1]=>001001 [4,5,1,3,2,6,7]=>[4,1,5,3,2,6,7]=>[2,5,4,1,3,6,7]=>011000 [4,5,1,3,2,7,6]=>[7,4,1,5,3,2,6]=>[3,6,5,2,4,7,1]=>011001 [4,5,1,3,6,2,7]=>[4,1,5,3,6,2,7]=>[2,6,4,1,3,5,7]=>011000 [4,5,1,3,6,7,2]=>[4,1,5,3,6,7,2]=>[2,7,4,1,3,5,6]=>011000 [4,5,1,3,7,2,6]=>[4,1,5,3,2,7,6]=>[2,5,4,1,3,7,6]=>011001 [4,5,1,3,7,6,2]=>[7,4,1,5,3,6,2]=>[3,7,5,2,4,6,1]=>011001 [4,5,1,6,2,3,7]=>[1,4,5,6,2,3,7]=>[1,5,6,2,3,4,7]=>001000 [4,5,1,6,2,7,3]=>[4,5,6,7,1,2,3]=>[5,6,7,1,2,3,4]=>001000 [4,5,1,6,3,2,7]=>[4,5,6,3,1,2,7]=>[5,6,4,1,2,3,7]=>011000 [4,5,1,6,3,7,2]=>[4,5,6,3,1,7,2]=>[5,7,4,1,2,3,6]=>011000 [4,5,1,6,7,2,3]=>[1,4,5,6,2,7,3]=>[1,5,7,2,3,4,6]=>001000 [4,5,1,6,7,3,2]=>[4,5,6,7,1,3,2]=>[5,7,6,1,2,3,4]=>011000 [4,5,1,7,2,3,6]=>[1,4,5,2,7,3,6]=>[1,4,6,2,3,7,5]=>001001 [4,5,1,7,2,6,3]=>[4,5,7,1,6,2,3]=>[4,6,7,1,2,5,3]=>001001 [4,5,1,7,3,2,6]=>[4,5,3,7,1,2,6]=>[5,6,3,1,2,7,4]=>011001 [4,5,1,7,3,6,2]=>[4,5,7,1,3,6,2]=>[4,7,5,1,2,6,3]=>011001 [4,5,1,7,6,2,3]=>[1,7,4,5,6,2,3]=>[1,6,7,3,4,5,2]=>001001 [4,5,1,7,6,3,2]=>[7,4,5,6,3,1,2]=>[6,7,5,2,3,4,1]=>011001 [4,5,2,1,3,6,7]=>[2,4,5,1,3,6,7]=>[4,1,5,2,3,6,7]=>101000 [4,5,2,1,3,7,6]=>[7,2,4,5,1,3,6]=>[5,2,6,3,4,7,1]=>101001 [4,5,2,1,6,3,7]=>[4,5,6,2,1,3,7]=>[5,4,6,1,2,3,7]=>101000 [4,5,2,1,6,7,3]=>[4,5,6,2,1,7,3]=>[5,4,7,1,2,3,6]=>101000 [4,5,2,1,7,3,6]=>[4,5,2,7,1,3,6]=>[5,3,6,1,2,7,4]=>101001 [4,5,2,1,7,6,3]=>[7,4,5,6,2,1,3]=>[6,5,7,2,3,4,1]=>101001 [4,5,2,3,1,6,7]=>[2,4,5,3,1,6,7]=>[5,1,4,2,3,6,7]=>101000 [4,5,2,3,1,7,6]=>[7,2,4,5,3,1,6]=>[6,2,5,3,4,7,1]=>101001 [4,5,2,3,6,1,7]=>[2,4,5,3,6,1,7]=>[6,1,4,2,3,5,7]=>101000 [4,5,2,3,6,7,1]=>[2,4,5,3,6,7,1]=>[7,1,4,2,3,5,6]=>101000 [4,5,2,3,7,1,6]=>[2,4,5,3,1,7,6]=>[5,1,4,2,3,7,6]=>101001 [4,5,2,3,7,6,1]=>[7,2,4,5,3,6,1]=>[7,2,5,3,4,6,1]=>101001 [4,5,2,6,1,3,7]=>[2,4,5,1,6,3,7]=>[4,1,6,2,3,5,7]=>101000 [4,5,2,6,1,7,3]=>[4,5,6,2,7,1,3]=>[6,4,7,1,2,3,5]=>101000 [4,5,2,6,3,1,7]=>[4,5,6,2,3,1,7]=>[6,4,5,1,2,3,7]=>101000 [4,5,2,6,3,7,1]=>[4,5,6,2,3,7,1]=>[7,4,5,1,2,3,6]=>101000 [4,5,2,6,7,1,3]=>[2,4,5,1,6,7,3]=>[4,1,7,2,3,5,6]=>101000 [4,5,2,6,7,3,1]=>[4,5,6,2,7,3,1]=>[7,4,6,1,2,3,5]=>101000 [4,5,2,7,1,3,6]=>[2,4,5,1,3,7,6]=>[4,1,5,2,3,7,6]=>101001 [4,5,2,7,1,6,3]=>[4,5,7,2,1,6,3]=>[5,4,7,1,2,6,3]=>101001 [4,5,2,7,3,1,6]=>[4,5,2,7,3,1,6]=>[6,3,5,1,2,7,4]=>101001 [4,5,2,7,3,6,1]=>[4,5,2,7,3,6,1]=>[7,3,5,1,2,6,4]=>101001 [4,5,2,7,6,1,3]=>[2,7,4,5,1,6,3]=>[5,1,7,3,4,6,2]=>101001 [4,5,2,7,6,3,1]=>[7,4,5,6,2,3,1]=>[7,5,6,2,3,4,1]=>101001 [4,5,3,1,2,6,7]=>[1,4,5,3,2,6,7]=>[1,5,4,2,3,6,7]=>011000 [4,5,3,1,2,7,6]=>[7,1,4,5,3,2,6]=>[2,6,5,3,4,7,1]=>011001 [4,5,3,1,6,2,7]=>[4,5,3,6,1,2,7]=>[5,6,3,1,2,4,7]=>011000 [4,5,3,1,6,7,2]=>[4,5,3,6,1,7,2]=>[5,7,3,1,2,4,6]=>011000 [4,5,3,1,7,2,6]=>[4,5,3,1,7,2,6]=>[4,6,3,1,2,7,5]=>011001 [4,5,3,1,7,6,2]=>[7,4,5,3,6,1,2]=>[6,7,4,2,3,5,1]=>011001 [4,5,3,2,1,6,7]=>[4,5,3,2,1,6,7]=>[5,4,3,1,2,6,7]=>111000 [4,5,3,2,1,7,6]=>[7,4,5,3,2,1,6]=>[6,5,4,2,3,7,1]=>111001 [4,5,3,2,6,1,7]=>[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7]=>111000 [4,5,3,2,6,7,1]=>[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6]=>111000 [4,5,3,2,7,1,6]=>[4,5,3,2,1,7,6]=>[5,4,3,1,2,7,6]=>111001 [4,5,3,2,7,6,1]=>[7,4,5,3,2,6,1]=>[7,5,4,2,3,6,1]=>111001 [4,5,3,6,1,2,7]=>[1,4,5,3,6,2,7]=>[1,6,4,2,3,5,7]=>011000 [4,5,3,6,1,7,2]=>[4,5,3,6,7,1,2]=>[6,7,3,1,2,4,5]=>011000 [4,5,3,6,2,1,7]=>[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7]=>111000 [4,5,3,6,2,7,1]=>[4,5,3,6,2,7,1]=>[7,5,3,1,2,4,6]=>111000 [4,5,3,6,7,1,2]=>[1,4,5,3,6,7,2]=>[1,7,4,2,3,5,6]=>011000 [4,5,3,6,7,2,1]=>[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5]=>111000 [4,5,3,7,1,2,6]=>[1,4,5,3,2,7,6]=>[1,5,4,2,3,7,6]=>011001 [4,5,3,7,1,6,2]=>[4,5,3,7,1,6,2]=>[5,7,3,1,2,6,4]=>011001 [4,5,3,7,2,1,6]=>[4,5,3,2,7,1,6]=>[6,4,3,1,2,7,5]=>111001 [4,5,3,7,2,6,1]=>[4,5,3,2,7,6,1]=>[7,4,3,1,2,6,5]=>111001 [4,5,3,7,6,1,2]=>[1,7,4,5,3,6,2]=>[1,7,5,3,4,6,2]=>011001 [4,5,3,7,6,2,1]=>[7,4,5,3,6,2,1]=>[7,6,4,2,3,5,1]=>111001 [4,5,6,1,2,3,7]=>[1,2,4,5,6,3,7]=>[1,2,6,3,4,5,7]=>001000 [4,5,6,1,2,7,3]=>[4,1,5,6,7,2,3]=>[2,6,7,1,3,4,5]=>001000 [4,5,6,1,3,2,7]=>[4,1,5,6,3,2,7]=>[2,6,5,1,3,4,7]=>011000 [4,5,6,1,3,7,2]=>[4,1,5,6,3,7,2]=>[2,7,5,1,3,4,6]=>011000 [4,5,6,1,7,2,3]=>[1,4,5,6,7,2,3]=>[1,6,7,2,3,4,5]=>001000 [4,5,6,1,7,3,2]=>[4,5,6,7,3,1,2]=>[6,7,5,1,2,3,4]=>011000 [4,5,6,2,1,3,7]=>[2,4,5,6,1,3,7]=>[5,1,6,2,3,4,7]=>101000 [4,5,6,2,1,7,3]=>[4,5,6,7,2,1,3]=>[6,5,7,1,2,3,4]=>101000 [4,5,6,2,3,1,7]=>[2,4,5,6,3,1,7]=>[6,1,5,2,3,4,7]=>101000 [4,5,6,2,3,7,1]=>[2,4,5,6,3,7,1]=>[7,1,5,2,3,4,6]=>101000 [4,5,6,2,7,1,3]=>[2,4,5,6,1,7,3]=>[5,1,7,2,3,4,6]=>101000 [4,5,6,2,7,3,1]=>[4,5,6,7,2,3,1]=>[7,5,6,1,2,3,4]=>101000 [4,5,6,3,1,2,7]=>[1,4,5,6,3,2,7]=>[1,6,5,2,3,4,7]=>011000 [4,5,6,3,1,7,2]=>[4,5,6,3,7,1,2]=>[6,7,4,1,2,3,5]=>011000 [4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]=>111000 [4,5,6,3,2,7,1]=>[4,5,6,3,2,7,1]=>[7,5,4,1,2,3,6]=>111000 [4,5,6,3,7,1,2]=>[1,4,5,6,3,7,2]=>[1,7,5,2,3,4,6]=>011000 [4,5,6,3,7,2,1]=>[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5]=>111000 [4,5,6,7,1,2,3]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>001000 [4,5,6,7,1,3,2]=>[4,1,5,6,7,3,2]=>[2,7,6,1,3,4,5]=>011000 [4,5,6,7,2,1,3]=>[2,4,5,6,7,1,3]=>[6,1,7,2,3,4,5]=>101000 [4,5,6,7,2,3,1]=>[2,4,5,6,7,3,1]=>[7,1,6,2,3,4,5]=>101000 [4,5,6,7,3,1,2]=>[1,4,5,6,7,3,2]=>[1,7,6,2,3,4,5]=>011000 [4,5,6,7,3,2,1]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]=>111000 [4,5,7,1,2,3,6]=>[1,2,4,5,3,7,6]=>[1,2,5,3,4,7,6]=>001001 [4,5,7,1,2,6,3]=>[4,1,5,7,2,6,3]=>[2,5,7,1,3,6,4]=>001001 [4,5,7,1,3,2,6]=>[4,1,5,3,7,2,6]=>[2,6,4,1,3,7,5]=>011001 [4,5,7,1,3,6,2]=>[4,1,5,3,7,6,2]=>[2,7,4,1,3,6,5]=>011001 [4,5,7,1,6,2,3]=>[1,4,5,7,2,6,3]=>[1,5,7,2,3,6,4]=>001001 [4,5,7,1,6,3,2]=>[4,5,7,6,1,3,2]=>[5,7,6,1,2,4,3]=>011001 [4,5,7,2,1,3,6]=>[2,4,5,1,7,3,6]=>[4,1,6,2,3,7,5]=>101001 [4,5,7,2,1,6,3]=>[4,5,7,2,6,1,3]=>[6,4,7,1,2,5,3]=>101001 [4,5,7,2,3,1,6]=>[2,4,5,3,7,1,6]=>[6,1,4,2,3,7,5]=>101001 [4,5,7,2,3,6,1]=>[2,4,5,3,7,6,1]=>[7,1,4,2,3,6,5]=>101001 [4,5,7,2,6,1,3]=>[2,4,5,1,7,6,3]=>[4,1,7,2,3,6,5]=>101001 [4,5,7,2,6,3,1]=>[4,5,7,2,6,3,1]=>[7,4,6,1,2,5,3]=>101001 [4,5,7,3,1,2,6]=>[1,4,5,3,7,2,6]=>[1,6,4,2,3,7,5]=>011001 [4,5,7,3,1,6,2]=>[4,5,3,7,6,1,2]=>[6,7,3,1,2,5,4]=>011001 [4,5,7,3,2,1,6]=>[4,5,3,7,2,1,6]=>[6,5,3,1,2,7,4]=>111001 [4,5,7,3,2,6,1]=>[4,5,3,7,2,6,1]=>[7,5,3,1,2,6,4]=>111001 [4,5,7,3,6,1,2]=>[1,4,5,3,7,6,2]=>[1,7,4,2,3,6,5]=>011001 [4,5,7,3,6,2,1]=>[4,5,3,7,6,2,1]=>[7,6,3,1,2,5,4]=>111001 [4,5,7,6,1,2,3]=>[1,2,7,4,5,6,3]=>[1,2,7,4,5,6,3]=>001001 [4,5,7,6,1,3,2]=>[7,1,4,5,6,3,2]=>[2,7,6,3,4,5,1]=>011001 [4,5,7,6,2,1,3]=>[2,7,4,5,6,1,3]=>[6,1,7,3,4,5,2]=>101001 [4,5,7,6,2,3,1]=>[2,7,4,5,6,3,1]=>[7,1,6,3,4,5,2]=>101001 [4,5,7,6,3,1,2]=>[1,7,4,5,6,3,2]=>[1,7,6,3,4,5,2]=>011001 [4,5,7,6,3,2,1]=>[7,4,5,6,3,2,1]=>[7,6,5,2,3,4,1]=>111001 [4,6,1,2,3,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>001010 [4,6,1,2,3,7,5]=>[6,1,2,4,7,3,5]=>[2,3,6,4,7,1,5]=>001010 [4,6,1,2,5,3,7]=>[4,1,6,2,5,3,7]=>[2,4,6,1,5,3,7]=>001010 [4,6,1,2,5,7,3]=>[4,1,6,2,5,7,3]=>[2,4,7,1,5,3,6]=>001010 [4,6,1,2,7,3,5]=>[4,1,2,6,7,3,5]=>[2,3,6,1,7,4,5]=>001010 [4,6,1,2,7,5,3]=>[6,4,1,7,5,2,3]=>[3,6,7,2,5,1,4]=>001010 [4,6,1,3,2,5,7]=>[4,1,3,6,2,5,7]=>[2,5,3,1,6,4,7]=>011010 [4,6,1,3,2,7,5]=>[6,4,1,7,3,2,5]=>[3,6,5,2,7,1,4]=>011010 [4,6,1,3,5,2,7]=>[4,1,3,6,5,2,7]=>[2,6,3,1,5,4,7]=>011010 [4,6,1,3,5,7,2]=>[4,1,3,6,5,7,2]=>[2,7,3,1,5,4,6]=>011010 [4,6,1,3,7,2,5]=>[4,1,3,6,2,7,5]=>[2,5,3,1,7,4,6]=>011010 [4,6,1,3,7,5,2]=>[6,4,1,7,3,5,2]=>[3,7,5,2,6,1,4]=>011010 [4,6,1,5,2,3,7]=>[1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>001010 [4,6,1,5,2,7,3]=>[4,6,5,1,7,2,3]=>[4,6,7,1,3,2,5]=>001010 [4,6,1,5,3,2,7]=>[4,6,5,1,3,2,7]=>[4,6,5,1,3,2,7]=>011010 [4,6,1,5,3,7,2]=>[4,6,5,1,3,7,2]=>[4,7,5,1,3,2,6]=>011010 [4,6,1,5,7,2,3]=>[1,4,6,2,5,7,3]=>[1,4,7,2,5,3,6]=>001010 [4,6,1,5,7,3,2]=>[4,6,5,1,7,3,2]=>[4,7,6,1,3,2,5]=>011010 [4,6,1,7,2,3,5]=>[1,4,2,6,7,3,5]=>[1,3,6,2,7,4,5]=>001010 [4,6,1,7,2,5,3]=>[4,6,1,7,5,2,3]=>[3,6,7,1,5,2,4]=>001010 [4,6,1,7,3,2,5]=>[4,3,6,7,1,2,5]=>[5,6,2,1,7,3,4]=>011010 [4,6,1,7,3,5,2]=>[4,6,1,7,3,5,2]=>[3,7,5,1,6,2,4]=>011010 [4,6,1,7,5,2,3]=>[1,6,4,7,5,2,3]=>[1,6,7,3,5,2,4]=>001010 [4,6,1,7,5,3,2]=>[6,4,7,5,3,1,2]=>[6,7,5,2,4,1,3]=>011010 [4,6,2,1,3,5,7]=>[2,4,1,6,3,5,7]=>[3,1,5,2,6,4,7]=>101010 [4,6,2,1,3,7,5]=>[6,2,4,7,1,3,5]=>[5,2,6,3,7,1,4]=>101010 [4,6,2,1,5,3,7]=>[4,6,2,5,1,3,7]=>[5,3,6,1,4,2,7]=>101010 [4,6,2,1,5,7,3]=>[4,6,2,5,1,7,3]=>[5,3,7,1,4,2,6]=>101010 [4,6,2,1,7,3,5]=>[4,2,6,7,1,3,5]=>[5,2,6,1,7,3,4]=>101010 [4,6,2,1,7,5,3]=>[6,4,7,5,2,1,3]=>[6,5,7,2,4,1,3]=>101010 [4,6,2,3,1,5,7]=>[2,4,3,6,1,5,7]=>[5,1,3,2,6,4,7]=>101010 [4,6,2,3,1,7,5]=>[6,2,4,7,3,1,5]=>[6,2,5,3,7,1,4]=>101010 [4,6,2,3,5,1,7]=>[2,4,3,6,5,1,7]=>[6,1,3,2,5,4,7]=>101010 [4,6,2,3,5,7,1]=>[2,4,3,6,5,7,1]=>[7,1,3,2,5,4,6]=>101010 [4,6,2,3,7,1,5]=>[2,4,3,6,1,7,5]=>[5,1,3,2,7,4,6]=>101010 [4,6,2,3,7,5,1]=>[6,2,4,7,3,5,1]=>[7,2,5,3,6,1,4]=>101010 [4,6,2,5,1,3,7]=>[2,4,1,6,5,3,7]=>[3,1,6,2,5,4,7]=>101010 [4,6,2,5,1,7,3]=>[4,6,2,5,7,1,3]=>[6,3,7,1,4,2,5]=>101010 [4,6,2,5,3,1,7]=>[4,6,2,5,3,1,7]=>[6,3,5,1,4,2,7]=>101010 [4,6,2,5,3,7,1]=>[4,6,2,5,3,7,1]=>[7,3,5,1,4,2,6]=>101010 [4,6,2,5,7,1,3]=>[2,4,1,6,5,7,3]=>[3,1,7,2,5,4,6]=>101010 [4,6,2,5,7,3,1]=>[4,6,2,5,7,3,1]=>[7,3,6,1,4,2,5]=>101010 [4,6,2,7,1,3,5]=>[2,4,1,6,3,7,5]=>[3,1,5,2,7,4,6]=>101010 [4,6,2,7,1,5,3]=>[4,6,2,7,1,5,3]=>[5,3,7,1,6,2,4]=>101010 [4,6,2,7,3,1,5]=>[4,2,6,7,3,1,5]=>[6,2,5,1,7,3,4]=>101010 [4,6,2,7,3,5,1]=>[4,2,6,7,3,5,1]=>[7,2,5,1,6,3,4]=>101010 [4,6,2,7,5,1,3]=>[2,6,4,7,1,5,3]=>[5,1,7,3,6,2,4]=>101010 [4,6,2,7,5,3,1]=>[6,4,7,5,2,3,1]=>[7,5,6,2,4,1,3]=>101010 [4,6,3,1,2,5,7]=>[1,4,3,6,2,5,7]=>[1,5,3,2,6,4,7]=>011010 [4,6,3,1,2,7,5]=>[6,1,4,7,3,2,5]=>[2,6,5,3,7,1,4]=>011010 [4,6,3,1,5,2,7]=>[4,3,6,5,1,2,7]=>[5,6,2,1,4,3,7]=>011010 [4,6,3,1,5,7,2]=>[4,3,6,5,1,7,2]=>[5,7,2,1,4,3,6]=>011010 [4,6,3,1,7,2,5]=>[4,3,6,1,7,2,5]=>[4,6,2,1,7,3,5]=>011010 [4,6,3,1,7,5,2]=>[6,4,7,3,5,1,2]=>[6,7,4,2,5,1,3]=>011010 [4,6,3,2,1,5,7]=>[4,3,6,2,1,5,7]=>[5,4,2,1,6,3,7]=>111010 [4,6,3,2,1,7,5]=>[6,4,7,3,2,1,5]=>[6,5,4,2,7,1,3]=>111010 [4,6,3,2,5,1,7]=>[4,3,6,2,5,1,7]=>[6,4,2,1,5,3,7]=>111010 [4,6,3,2,5,7,1]=>[4,3,6,2,5,7,1]=>[7,4,2,1,5,3,6]=>111010 [4,6,3,2,7,1,5]=>[4,3,6,2,1,7,5]=>[5,4,2,1,7,3,6]=>111010 [4,6,3,2,7,5,1]=>[6,4,7,3,2,5,1]=>[7,5,4,2,6,1,3]=>111010 [4,6,3,5,1,2,7]=>[1,4,3,6,5,2,7]=>[1,6,3,2,5,4,7]=>011010 [4,6,3,5,1,7,2]=>[4,3,6,5,7,1,2]=>[6,7,2,1,4,3,5]=>011010 [4,6,3,5,2,1,7]=>[4,3,6,5,2,1,7]=>[6,5,2,1,4,3,7]=>111010 [4,6,3,5,2,7,1]=>[4,3,6,5,2,7,1]=>[7,5,2,1,4,3,6]=>111010 [4,6,3,5,7,1,2]=>[1,4,3,6,5,7,2]=>[1,7,3,2,5,4,6]=>011010 [4,6,3,5,7,2,1]=>[4,3,6,5,7,2,1]=>[7,6,2,1,4,3,5]=>111010 [4,6,3,7,1,2,5]=>[1,4,3,6,2,7,5]=>[1,5,3,2,7,4,6]=>011010 [4,6,3,7,1,5,2]=>[4,3,6,7,1,5,2]=>[5,7,2,1,6,3,4]=>011010 [4,6,3,7,2,1,5]=>[4,3,6,2,7,1,5]=>[6,4,2,1,7,3,5]=>111010 [4,6,3,7,2,5,1]=>[4,3,6,2,7,5,1]=>[7,4,2,1,6,3,5]=>111010 [4,6,3,7,5,1,2]=>[1,6,4,7,3,5,2]=>[1,7,5,3,6,2,4]=>011010 [4,6,3,7,5,2,1]=>[6,4,7,3,5,2,1]=>[7,6,4,2,5,1,3]=>111010 [4,6,5,1,2,3,7]=>[1,2,6,4,5,3,7]=>[1,2,6,4,5,3,7]=>001010 [4,6,5,1,2,7,3]=>[6,1,4,5,7,2,3]=>[2,6,7,3,4,1,5]=>001010 [4,6,5,1,3,2,7]=>[6,1,4,5,3,2,7]=>[2,6,5,3,4,1,7]=>011010 [4,6,5,1,3,7,2]=>[6,1,4,5,3,7,2]=>[2,7,5,3,4,1,6]=>011010 [4,6,5,1,7,2,3]=>[1,6,4,5,7,2,3]=>[1,6,7,3,4,2,5]=>001010 [4,6,5,1,7,3,2]=>[6,4,5,7,3,1,2]=>[6,7,5,2,3,1,4]=>011010 [4,6,5,2,1,3,7]=>[2,6,4,5,1,3,7]=>[5,1,6,3,4,2,7]=>101010 [4,6,5,2,1,7,3]=>[6,4,5,7,2,1,3]=>[6,5,7,2,3,1,4]=>101010 [4,6,5,2,3,1,7]=>[2,6,4,5,3,1,7]=>[6,1,5,3,4,2,7]=>101010 [4,6,5,2,3,7,1]=>[2,6,4,5,3,7,1]=>[7,1,5,3,4,2,6]=>101010 [4,6,5,2,7,1,3]=>[2,6,4,5,1,7,3]=>[5,1,7,3,4,2,6]=>101010 [4,6,5,2,7,3,1]=>[6,4,5,7,2,3,1]=>[7,5,6,2,3,1,4]=>101010 [4,6,5,3,1,2,7]=>[1,6,4,5,3,2,7]=>[1,6,5,3,4,2,7]=>011010 [4,6,5,3,1,7,2]=>[6,4,5,3,7,1,2]=>[6,7,4,2,3,1,5]=>011010 [4,6,5,3,2,1,7]=>[6,4,5,3,2,1,7]=>[6,5,4,2,3,1,7]=>111010 [4,6,5,3,2,7,1]=>[6,4,5,3,2,7,1]=>[7,5,4,2,3,1,6]=>111010 [4,6,5,3,7,1,2]=>[1,6,4,5,3,7,2]=>[1,7,5,3,4,2,6]=>011010 [4,6,5,3,7,2,1]=>[6,4,5,3,7,2,1]=>[7,6,4,2,3,1,5]=>111010 [4,6,5,7,1,2,3]=>[1,2,6,4,5,7,3]=>[1,2,7,4,5,3,6]=>001010 [4,6,5,7,1,3,2]=>[6,1,4,5,7,3,2]=>[2,7,6,3,4,1,5]=>011010 [4,6,5,7,2,1,3]=>[2,6,4,5,7,1,3]=>[6,1,7,3,4,2,5]=>101010 [4,6,5,7,2,3,1]=>[2,6,4,5,7,3,1]=>[7,1,6,3,4,2,5]=>101010 [4,6,5,7,3,1,2]=>[1,6,4,5,7,3,2]=>[1,7,6,3,4,2,5]=>011010 [4,6,5,7,3,2,1]=>[6,4,5,7,3,2,1]=>[7,6,5,2,3,1,4]=>111010 [4,6,7,1,2,3,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,5,6]=>001010 [4,6,7,1,2,5,3]=>[4,1,6,2,7,5,3]=>[2,4,7,1,6,3,5]=>001010 [4,6,7,1,3,2,5]=>[4,1,3,6,7,2,5]=>[2,6,3,1,7,4,5]=>011010 [4,6,7,1,3,5,2]=>[4,1,3,6,7,5,2]=>[2,7,3,1,6,4,5]=>011010 [4,6,7,1,5,2,3]=>[1,4,6,2,7,5,3]=>[1,4,7,2,6,3,5]=>001010 [4,6,7,1,5,3,2]=>[4,6,7,1,5,3,2]=>[4,7,6,1,5,2,3]=>011010 [4,6,7,2,1,3,5]=>[2,4,1,6,7,3,5]=>[3,1,6,2,7,4,5]=>101010 [4,6,7,2,1,5,3]=>[4,6,2,7,5,1,3]=>[6,3,7,1,5,2,4]=>101010 [4,6,7,2,3,1,5]=>[2,4,3,6,7,1,5]=>[6,1,3,2,7,4,5]=>101010 [4,6,7,2,3,5,1]=>[2,4,3,6,7,5,1]=>[7,1,3,2,6,4,5]=>101010 [4,6,7,2,5,1,3]=>[2,4,1,6,7,5,3]=>[3,1,7,2,6,4,5]=>101010 [4,6,7,2,5,3,1]=>[4,6,2,7,5,3,1]=>[7,3,6,1,5,2,4]=>101010 [4,6,7,3,1,2,5]=>[1,4,3,6,7,2,5]=>[1,6,3,2,7,4,5]=>011010 [4,6,7,3,1,5,2]=>[4,3,6,7,5,1,2]=>[6,7,2,1,5,3,4]=>011010 [4,6,7,3,2,1,5]=>[4,3,6,7,2,1,5]=>[6,5,2,1,7,3,4]=>111010 [4,6,7,3,2,5,1]=>[4,3,6,7,2,5,1]=>[7,5,2,1,6,3,4]=>111010 [4,6,7,3,5,1,2]=>[1,4,3,6,7,5,2]=>[1,7,3,2,6,4,5]=>011010 [4,6,7,3,5,2,1]=>[4,3,6,7,5,2,1]=>[7,6,2,1,5,3,4]=>111010 [4,6,7,5,1,2,3]=>[1,2,6,4,7,5,3]=>[1,2,7,4,6,3,5]=>001010 [4,6,7,5,1,3,2]=>[6,1,4,7,5,3,2]=>[2,7,6,3,5,1,4]=>011010 [4,6,7,5,2,1,3]=>[2,6,4,7,5,1,3]=>[6,1,7,3,5,2,4]=>101010 [4,6,7,5,2,3,1]=>[2,6,4,7,5,3,1]=>[7,1,6,3,5,2,4]=>101010 [4,6,7,5,3,1,2]=>[1,6,4,7,5,3,2]=>[1,7,6,3,5,2,4]=>011010 [4,6,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[7,6,5,2,4,1,3]=>111010 [4,7,1,2,3,5,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>001001 [4,7,1,2,3,6,5]=>[7,1,2,4,3,6,5]=>[2,3,5,4,7,6,1]=>001011 [4,7,1,2,5,3,6]=>[4,1,2,7,5,3,6]=>[2,3,6,1,5,7,4]=>001001 [4,7,1,2,5,6,3]=>[4,1,5,2,7,6,3]=>[2,4,7,1,3,6,5]=>001001 [4,7,1,2,6,3,5]=>[4,1,2,7,3,6,5]=>[2,3,5,1,7,6,4]=>001011 [4,7,1,2,6,5,3]=>[7,4,1,6,2,5,3]=>[3,5,7,2,6,4,1]=>001011 [4,7,1,3,2,5,6]=>[4,1,3,2,7,5,6]=>[2,4,3,1,6,7,5]=>011001 [4,7,1,3,2,6,5]=>[7,4,1,3,6,2,5]=>[3,6,4,2,7,5,1]=>011011 [4,7,1,3,5,2,6]=>[4,1,3,5,7,2,6]=>[2,6,3,1,4,7,5]=>011001 [4,7,1,3,5,6,2]=>[4,1,3,5,7,6,2]=>[2,7,3,1,4,6,5]=>011001 [4,7,1,3,6,2,5]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5]=>011011 [4,7,1,3,6,5,2]=>[7,4,1,3,6,5,2]=>[3,7,4,2,6,5,1]=>011011 [4,7,1,5,2,3,6]=>[1,4,2,7,5,3,6]=>[1,3,6,2,5,7,4]=>001001 [4,7,1,5,2,6,3]=>[4,7,1,5,6,2,3]=>[3,6,7,1,4,5,2]=>001001 [4,7,1,5,3,2,6]=>[4,5,7,1,3,2,6]=>[4,6,5,1,2,7,3]=>011001 [4,7,1,5,3,6,2]=>[4,7,1,5,3,6,2]=>[3,7,5,1,4,6,2]=>011001 [4,7,1,5,6,2,3]=>[1,4,5,2,7,6,3]=>[1,4,7,2,3,6,5]=>001001 [4,7,1,5,6,3,2]=>[4,5,7,1,6,3,2]=>[4,7,6,1,2,5,3]=>011001 [4,7,1,6,2,3,5]=>[1,4,2,7,3,6,5]=>[1,3,5,2,7,6,4]=>001011 [4,7,1,6,2,5,3]=>[4,7,1,6,2,5,3]=>[3,5,7,1,6,4,2]=>001011 [4,7,1,6,3,2,5]=>[4,1,7,6,3,2,5]=>[2,6,5,1,7,4,3]=>011011 [4,7,1,6,3,5,2]=>[4,7,1,3,6,5,2]=>[3,7,4,1,6,5,2]=>011011 [4,7,1,6,5,2,3]=>[1,7,4,6,2,5,3]=>[1,5,7,3,6,4,2]=>001011 [4,7,1,6,5,3,2]=>[7,4,6,5,1,3,2]=>[5,7,6,2,4,3,1]=>011011 [4,7,2,1,3,5,6]=>[2,4,1,3,7,5,6]=>[3,1,4,2,6,7,5]=>101001 [4,7,2,1,3,6,5]=>[7,2,4,1,6,3,5]=>[4,2,6,3,7,5,1]=>101011 [4,7,2,1,5,3,6]=>[4,2,7,5,1,3,6]=>[5,2,6,1,4,7,3]=>101001 [4,7,2,1,5,6,3]=>[4,7,2,1,5,6,3]=>[4,3,7,1,5,6,2]=>101001 [4,7,2,1,6,3,5]=>[4,2,7,1,6,3,5]=>[4,2,6,1,7,5,3]=>101011 [4,7,2,1,6,5,3]=>[7,4,6,2,5,1,3]=>[6,4,7,2,5,3,1]=>101011 [4,7,2,3,1,5,6]=>[2,4,3,1,7,5,6]=>[4,1,3,2,6,7,5]=>101001 [4,7,2,3,1,6,5]=>[7,2,4,3,6,1,5]=>[6,2,4,3,7,5,1]=>101011 [4,7,2,3,5,1,6]=>[2,4,3,5,7,1,6]=>[6,1,3,2,4,7,5]=>101001 [4,7,2,3,5,6,1]=>[2,4,3,5,7,6,1]=>[7,1,3,2,4,6,5]=>101001 [4,7,2,3,6,1,5]=>[2,4,3,1,7,6,5]=>[4,1,3,2,7,6,5]=>101011 [4,7,2,3,6,5,1]=>[7,2,4,3,6,5,1]=>[7,2,4,3,6,5,1]=>101011 [4,7,2,5,1,3,6]=>[2,4,1,5,7,3,6]=>[3,1,6,2,4,7,5]=>101001 [4,7,2,5,1,6,3]=>[4,5,2,7,6,1,3]=>[6,3,7,1,2,5,4]=>101001 [4,7,2,5,3,1,6]=>[4,2,7,5,3,1,6]=>[6,2,5,1,4,7,3]=>101001 [4,7,2,5,3,6,1]=>[4,2,7,5,3,6,1]=>[7,2,5,1,4,6,3]=>101001 [4,7,2,5,6,1,3]=>[2,4,1,5,7,6,3]=>[3,1,7,2,4,6,5]=>101001 [4,7,2,5,6,3,1]=>[4,5,2,7,6,3,1]=>[7,3,6,1,2,5,4]=>101001 [4,7,2,6,1,3,5]=>[2,4,1,3,7,6,5]=>[3,1,4,2,7,6,5]=>101011 [4,7,2,6,1,5,3]=>[4,7,2,1,6,5,3]=>[4,3,7,1,6,5,2]=>101011 [4,7,2,6,3,1,5]=>[4,2,7,3,6,1,5]=>[6,2,4,1,7,5,3]=>101011 [4,7,2,6,3,5,1]=>[4,2,7,3,6,5,1]=>[7,2,4,1,6,5,3]=>101011 [4,7,2,6,5,1,3]=>[2,7,4,1,6,5,3]=>[4,1,7,3,6,5,2]=>101011 [4,7,2,6,5,3,1]=>[7,4,6,2,5,3,1]=>[7,4,6,2,5,3,1]=>101011 [4,7,3,1,2,5,6]=>[1,4,3,2,7,5,6]=>[1,4,3,2,6,7,5]=>011001 [4,7,3,1,2,6,5]=>[7,1,4,3,6,2,5]=>[2,6,4,3,7,5,1]=>011011 [4,7,3,1,5,2,6]=>[4,3,5,7,1,2,6]=>[5,6,2,1,3,7,4]=>011001 [4,7,3,1,5,6,2]=>[4,3,7,1,5,6,2]=>[4,7,2,1,5,6,3]=>011001 [4,7,3,1,6,2,5]=>[4,3,1,7,6,2,5]=>[3,6,2,1,7,5,4]=>011011 [4,7,3,1,6,5,2]=>[7,4,3,6,5,1,2]=>[6,7,3,2,5,4,1]=>011011 [4,7,3,2,1,5,6]=>[4,3,2,7,1,5,6]=>[5,3,2,1,6,7,4]=>111001 [4,7,3,2,1,6,5]=>[7,4,3,6,2,1,5]=>[6,5,3,2,7,4,1]=>111011 [4,7,3,2,5,1,6]=>[4,3,2,7,5,1,6]=>[6,3,2,1,5,7,4]=>111001 [4,7,3,2,5,6,1]=>[4,3,2,7,5,6,1]=>[7,3,2,1,5,6,4]=>111001 [4,7,3,2,6,1,5]=>[4,3,2,7,1,6,5]=>[5,3,2,1,7,6,4]=>111011 [4,7,3,2,6,5,1]=>[7,4,3,6,2,5,1]=>[7,5,3,2,6,4,1]=>111011 [4,7,3,5,1,2,6]=>[1,4,3,5,7,2,6]=>[1,6,3,2,4,7,5]=>011001 [4,7,3,5,1,6,2]=>[4,3,5,7,6,1,2]=>[6,7,2,1,3,5,4]=>011001 [4,7,3,5,2,1,6]=>[4,3,5,7,2,1,6]=>[6,5,2,1,3,7,4]=>111001 [4,7,3,5,2,6,1]=>[4,3,5,7,2,6,1]=>[7,5,2,1,3,6,4]=>111001 [4,7,3,5,6,1,2]=>[1,4,3,5,7,6,2]=>[1,7,3,2,4,6,5]=>011001 [4,7,3,5,6,2,1]=>[4,3,5,7,6,2,1]=>[7,6,2,1,3,5,4]=>111001 [4,7,3,6,1,2,5]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>011011 [4,7,3,6,1,5,2]=>[4,3,7,1,6,5,2]=>[4,7,2,1,6,5,3]=>011011 [4,7,3,6,2,1,5]=>[4,3,2,7,6,1,5]=>[6,3,2,1,7,5,4]=>111011 [4,7,3,6,2,5,1]=>[4,3,2,7,6,5,1]=>[7,3,2,1,6,5,4]=>111011 [4,7,3,6,5,1,2]=>[1,7,4,3,6,5,2]=>[1,7,4,3,6,5,2]=>011011 [4,7,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[7,6,3,2,5,4,1]=>111011 [4,7,5,1,2,3,6]=>[1,2,4,7,5,3,6]=>[1,2,6,3,5,7,4]=>001001 [4,7,5,1,2,6,3]=>[4,1,7,5,6,2,3]=>[2,6,7,1,4,5,3]=>001001 [4,7,5,1,3,2,6]=>[1,7,4,5,3,2,6]=>[1,6,5,3,4,7,2]=>011001 [4,7,5,1,3,6,2]=>[4,1,7,5,3,6,2]=>[2,7,5,1,4,6,3]=>011001 [4,7,5,1,6,2,3]=>[1,4,7,5,6,2,3]=>[1,6,7,2,4,5,3]=>001001 [4,7,5,1,6,3,2]=>[4,7,5,6,3,1,2]=>[6,7,5,1,3,4,2]=>011001 [4,7,5,2,1,3,6]=>[2,4,7,5,1,3,6]=>[5,1,6,2,4,7,3]=>101001 [4,7,5,2,1,6,3]=>[4,7,5,6,2,1,3]=>[6,5,7,1,3,4,2]=>101001 [4,7,5,2,3,1,6]=>[2,4,7,5,3,1,6]=>[6,1,5,2,4,7,3]=>101001 [4,7,5,2,3,6,1]=>[2,4,7,5,3,6,1]=>[7,1,5,2,4,6,3]=>101001 [4,7,5,2,6,1,3]=>[2,4,7,5,1,6,3]=>[5,1,7,2,4,6,3]=>101001 [4,7,5,2,6,3,1]=>[4,7,5,6,2,3,1]=>[7,5,6,1,3,4,2]=>101001 [4,7,5,3,1,2,6]=>[1,4,7,5,3,2,6]=>[1,6,5,2,4,7,3]=>011001 [4,7,5,3,1,6,2]=>[4,7,5,3,6,1,2]=>[6,7,4,1,3,5,2]=>011001 [4,7,5,3,2,1,6]=>[4,7,5,3,2,1,6]=>[6,5,4,1,3,7,2]=>111001 [4,7,5,3,2,6,1]=>[4,7,5,3,2,6,1]=>[7,5,4,1,3,6,2]=>111001 [4,7,5,3,6,1,2]=>[1,4,7,5,3,6,2]=>[1,7,5,2,4,6,3]=>011001 [4,7,5,3,6,2,1]=>[4,7,5,3,6,2,1]=>[7,6,4,1,3,5,2]=>111001 [4,7,5,6,1,2,3]=>[1,2,4,7,5,6,3]=>[1,2,7,3,5,6,4]=>001001 [4,7,5,6,1,3,2]=>[4,1,7,5,6,3,2]=>[2,7,6,1,4,5,3]=>011001 [4,7,5,6,2,1,3]=>[2,4,7,5,6,1,3]=>[6,1,7,2,4,5,3]=>101001 [4,7,5,6,2,3,1]=>[2,4,7,5,6,3,1]=>[7,1,6,2,4,5,3]=>101001 [4,7,5,6,3,1,2]=>[1,4,7,5,6,3,2]=>[1,7,6,2,4,5,3]=>011001 [4,7,5,6,3,2,1]=>[4,7,5,6,3,2,1]=>[7,6,5,1,3,4,2]=>111001 [4,7,6,1,2,3,5]=>[1,2,4,7,3,6,5]=>[1,2,5,3,7,6,4]=>001011 [4,7,6,1,2,5,3]=>[4,1,7,6,2,5,3]=>[2,5,7,1,6,4,3]=>001011 [4,7,6,1,3,2,5]=>[1,7,4,3,6,2,5]=>[1,6,4,3,7,5,2]=>011011 [4,7,6,1,3,5,2]=>[4,1,7,3,6,5,2]=>[2,7,4,1,6,5,3]=>011011 [4,7,6,1,5,2,3]=>[1,4,7,6,2,5,3]=>[1,5,7,2,6,4,3]=>001011 [4,7,6,1,5,3,2]=>[4,7,6,5,1,3,2]=>[5,7,6,1,4,3,2]=>011011 [4,7,6,2,1,3,5]=>[2,4,7,1,6,3,5]=>[4,1,6,2,7,5,3]=>101011 [4,7,6,2,1,5,3]=>[4,7,6,2,5,1,3]=>[6,4,7,1,5,3,2]=>101011 [4,7,6,2,3,1,5]=>[2,4,7,3,6,1,5]=>[6,1,4,2,7,5,3]=>101011 [4,7,6,2,3,5,1]=>[2,4,7,3,6,5,1]=>[7,1,4,2,6,5,3]=>101011 [4,7,6,2,5,1,3]=>[2,4,7,1,6,5,3]=>[4,1,7,2,6,5,3]=>101011 [4,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[7,4,6,1,5,3,2]=>101011 [4,7,6,3,1,2,5]=>[1,4,7,3,6,2,5]=>[1,6,4,2,7,5,3]=>011011 [4,7,6,3,1,5,2]=>[4,7,3,6,5,1,2]=>[6,7,3,1,5,4,2]=>011011 [4,7,6,3,2,1,5]=>[4,7,3,6,2,1,5]=>[6,5,3,1,7,4,2]=>111011 [4,7,6,3,2,5,1]=>[4,7,3,6,2,5,1]=>[7,5,3,1,6,4,2]=>111011 [4,7,6,3,5,1,2]=>[1,4,7,3,6,5,2]=>[1,7,4,2,6,5,3]=>011011 [4,7,6,3,5,2,1]=>[4,7,3,6,5,2,1]=>[7,6,3,1,5,4,2]=>111011 [4,7,6,5,1,2,3]=>[1,2,7,6,4,5,3]=>[1,2,7,5,6,4,3]=>001011 [4,7,6,5,1,3,2]=>[7,1,6,4,5,3,2]=>[2,7,6,4,5,3,1]=>011011 [4,7,6,5,2,1,3]=>[2,7,6,4,5,1,3]=>[6,1,7,4,5,3,2]=>101011 [4,7,6,5,2,3,1]=>[2,7,6,4,5,3,1]=>[7,1,6,4,5,3,2]=>101011 [4,7,6,5,3,1,2]=>[1,7,6,4,5,3,2]=>[1,7,6,4,5,3,2]=>011011 [4,7,6,5,3,2,1]=>[7,6,4,5,3,2,1]=>[7,6,5,3,4,2,1]=>111011 [5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>000100 [5,1,2,3,4,7,6]=>[7,1,2,3,5,4,6]=>[2,3,4,6,5,7,1]=>000101 [5,1,2,3,6,4,7]=>[5,1,2,6,3,4,7]=>[2,3,5,6,1,4,7]=>000100 [5,1,2,3,6,7,4]=>[5,1,2,6,3,7,4]=>[2,3,5,7,1,4,6]=>000100 [5,1,2,3,7,4,6]=>[5,1,2,3,7,4,6]=>[2,3,4,6,1,7,5]=>000101 [5,1,2,3,7,6,4]=>[7,5,1,2,6,3,4]=>[3,4,6,7,2,5,1]=>000101 [5,1,2,4,3,6,7]=>[5,1,2,4,3,6,7]=>[2,3,5,4,1,6,7]=>001100 [5,1,2,4,3,7,6]=>[7,5,1,2,4,3,6]=>[3,4,6,5,2,7,1]=>001101 [5,1,2,4,6,3,7]=>[5,1,2,4,6,3,7]=>[2,3,6,4,1,5,7]=>001100 [5,1,2,4,6,7,3]=>[5,1,2,4,6,7,3]=>[2,3,7,4,1,5,6]=>001100 [5,1,2,4,7,3,6]=>[5,1,2,4,3,7,6]=>[2,3,5,4,1,7,6]=>001101 [5,1,2,4,7,6,3]=>[7,5,1,2,4,6,3]=>[3,4,7,5,2,6,1]=>001101 [5,1,2,6,3,4,7]=>[1,5,2,6,3,4,7]=>[1,3,5,6,2,4,7]=>000100 [5,1,2,6,3,7,4]=>[5,6,1,7,2,3,4]=>[3,5,6,7,1,2,4]=>000100 [5,1,2,6,4,3,7]=>[5,6,1,4,2,3,7]=>[3,5,6,4,1,2,7]=>001100 [5,1,2,6,4,7,3]=>[5,6,1,4,2,7,3]=>[3,5,7,4,1,2,6]=>001100 [5,1,2,6,7,3,4]=>[1,5,2,6,3,7,4]=>[1,3,5,7,2,4,6]=>000100 [5,1,2,6,7,4,3]=>[5,6,1,7,2,4,3]=>[3,5,7,6,1,2,4]=>001100 [5,1,2,7,3,4,6]=>[1,5,2,3,7,4,6]=>[1,3,4,6,2,7,5]=>000101 [5,1,2,7,3,6,4]=>[5,7,1,2,6,3,4]=>[3,4,6,7,1,5,2]=>000101 [5,1,2,7,4,3,6]=>[5,1,7,4,2,3,6]=>[2,5,6,4,1,7,3]=>001101 [5,1,2,7,4,6,3]=>[5,7,1,2,4,6,3]=>[3,4,7,5,1,6,2]=>001101 [5,1,2,7,6,3,4]=>[1,7,5,2,6,3,4]=>[1,4,6,7,3,5,2]=>000101 [5,1,2,7,6,4,3]=>[7,5,6,1,4,2,3]=>[4,6,7,5,2,3,1]=>001101 [5,1,3,2,4,6,7]=>[1,5,3,2,4,6,7]=>[1,4,3,5,2,6,7]=>010100 [5,1,3,2,4,7,6]=>[7,1,5,3,2,4,6]=>[2,5,4,6,3,7,1]=>010101 [5,1,3,2,6,4,7]=>[5,6,1,3,2,4,7]=>[3,5,4,6,1,2,7]=>010100 [5,1,3,2,6,7,4]=>[5,6,1,3,2,7,4]=>[3,5,4,7,1,2,6]=>010100 [5,1,3,2,7,4,6]=>[5,1,7,3,2,4,6]=>[2,5,4,6,1,7,3]=>010101 [5,1,3,2,7,6,4]=>[7,5,6,1,3,2,4]=>[4,6,5,7,2,3,1]=>010101 [5,1,3,4,2,6,7]=>[3,1,5,4,2,6,7]=>[2,5,1,4,3,6,7]=>010100 [5,1,3,4,2,7,6]=>[7,3,1,5,4,2,6]=>[3,6,2,5,4,7,1]=>010101 [5,1,3,4,6,2,7]=>[3,1,5,4,6,2,7]=>[2,6,1,4,3,5,7]=>010100 [5,1,3,4,6,7,2]=>[3,1,5,4,6,7,2]=>[2,7,1,4,3,5,6]=>010100 [5,1,3,4,7,2,6]=>[3,1,5,4,2,7,6]=>[2,5,1,4,3,7,6]=>010101 [5,1,3,4,7,6,2]=>[7,3,1,5,4,6,2]=>[3,7,2,5,4,6,1]=>010101 [5,1,3,6,2,4,7]=>[1,5,3,2,6,4,7]=>[1,4,3,6,2,5,7]=>010100 [5,1,3,6,2,7,4]=>[5,6,1,3,7,2,4]=>[3,6,4,7,1,2,5]=>010100 [5,1,3,6,4,2,7]=>[5,6,1,3,4,2,7]=>[3,6,4,5,1,2,7]=>010100 [5,1,3,6,4,7,2]=>[5,6,1,3,4,7,2]=>[3,7,4,5,1,2,6]=>010100 [5,1,3,6,7,2,4]=>[1,5,3,2,6,7,4]=>[1,4,3,7,2,5,6]=>010100 [5,1,3,6,7,4,2]=>[5,6,1,3,7,4,2]=>[3,7,4,6,1,2,5]=>010100 [5,1,3,7,2,4,6]=>[1,5,3,2,4,7,6]=>[1,4,3,5,2,7,6]=>010101 [5,1,3,7,2,6,4]=>[5,7,1,3,2,6,4]=>[3,5,4,7,1,6,2]=>010101 [5,1,3,7,4,2,6]=>[5,1,7,3,4,2,6]=>[2,6,4,5,1,7,3]=>010101 [5,1,3,7,4,6,2]=>[5,3,1,7,4,6,2]=>[3,7,2,5,1,6,4]=>010101 [5,1,3,7,6,2,4]=>[1,7,5,3,2,6,4]=>[1,5,4,7,3,6,2]=>010101 [5,1,3,7,6,4,2]=>[7,5,6,1,3,4,2]=>[4,7,5,6,2,3,1]=>010101 [5,1,4,2,3,6,7]=>[1,5,2,4,3,6,7]=>[1,3,5,4,2,6,7]=>001100 [5,1,4,2,3,7,6]=>[7,1,5,2,4,3,6]=>[2,4,6,5,3,7,1]=>001101 [5,1,4,2,6,3,7]=>[5,4,1,6,2,3,7]=>[3,5,6,2,1,4,7]=>001100 [5,1,4,2,6,7,3]=>[5,4,1,6,2,7,3]=>[3,5,7,2,1,4,6]=>001100 [5,1,4,2,7,3,6]=>[5,4,1,2,7,3,6]=>[3,4,6,2,1,7,5]=>001101 [5,1,4,2,7,6,3]=>[7,5,4,1,6,2,3]=>[4,6,7,3,2,5,1]=>001101 [5,1,4,3,2,6,7]=>[5,4,1,3,2,6,7]=>[3,5,4,2,1,6,7]=>011100 [5,1,4,3,2,7,6]=>[7,5,4,1,3,2,6]=>[4,6,5,3,2,7,1]=>011101 [5,1,4,3,6,2,7]=>[5,4,1,3,6,2,7]=>[3,6,4,2,1,5,7]=>011100 [5,1,4,3,6,7,2]=>[5,4,1,3,6,7,2]=>[3,7,4,2,1,5,6]=>011100 [5,1,4,3,7,2,6]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6]=>011101 [5,1,4,3,7,6,2]=>[7,5,4,1,3,6,2]=>[4,7,5,3,2,6,1]=>011101 [5,1,4,6,2,3,7]=>[1,5,2,4,6,3,7]=>[1,3,6,4,2,5,7]=>001100 [5,1,4,6,2,7,3]=>[5,4,1,6,7,2,3]=>[3,6,7,2,1,4,5]=>001100 [5,1,4,6,3,2,7]=>[5,4,1,6,3,2,7]=>[3,6,5,2,1,4,7]=>011100 [5,1,4,6,3,7,2]=>[5,4,1,6,3,7,2]=>[3,7,5,2,1,4,6]=>011100 [5,1,4,6,7,2,3]=>[1,5,2,4,6,7,3]=>[1,3,7,4,2,5,6]=>001100 [5,1,4,6,7,3,2]=>[5,4,1,6,7,3,2]=>[3,7,6,2,1,4,5]=>011100 [5,1,4,7,2,3,6]=>[1,5,2,4,3,7,6]=>[1,3,5,4,2,7,6]=>001101 [5,1,4,7,2,6,3]=>[5,4,1,7,2,6,3]=>[3,5,7,2,1,6,4]=>001101 [5,1,4,7,3,2,6]=>[5,4,1,3,7,2,6]=>[3,6,4,2,1,7,5]=>011101 [5,1,4,7,3,6,2]=>[5,4,1,3,7,6,2]=>[3,7,4,2,1,6,5]=>011101 [5,1,4,7,6,2,3]=>[1,7,5,2,4,6,3]=>[1,4,7,5,3,6,2]=>001101 [5,1,4,7,6,3,2]=>[7,5,4,1,6,3,2]=>[4,7,6,3,2,5,1]=>011101 [5,1,6,2,3,4,7]=>[1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7]=>000100 [5,1,6,2,3,7,4]=>[5,1,6,7,2,3,4]=>[2,5,6,7,1,3,4]=>000100 [5,1,6,2,4,3,7]=>[5,1,6,4,2,3,7]=>[2,5,6,4,1,3,7]=>001100 [5,1,6,2,4,7,3]=>[5,1,6,4,2,7,3]=>[2,5,7,4,1,3,6]=>001100 [5,1,6,2,7,3,4]=>[1,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>000100 [5,1,6,2,7,4,3]=>[5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3]=>001100 [5,1,6,3,2,4,7]=>[3,5,6,1,2,4,7]=>[4,5,1,6,2,3,7]=>010100 [5,1,6,3,2,7,4]=>[5,6,7,3,1,2,4]=>[5,6,4,7,1,2,3]=>010100 [5,1,6,3,4,2,7]=>[5,1,6,3,4,2,7]=>[2,6,4,5,1,3,7]=>010100 [5,1,6,3,4,7,2]=>[5,1,6,3,4,7,2]=>[2,7,4,5,1,3,6]=>010100 [5,1,6,3,7,2,4]=>[3,5,6,1,2,7,4]=>[4,5,1,7,2,3,6]=>010100 [5,1,6,3,7,4,2]=>[5,6,7,3,1,4,2]=>[5,7,4,6,1,2,3]=>010100 [5,1,6,4,2,3,7]=>[1,5,6,4,2,3,7]=>[1,5,6,4,2,3,7]=>001100 [5,1,6,4,2,7,3]=>[5,6,4,7,1,2,3]=>[5,6,7,3,1,2,4]=>001100 [5,1,6,4,3,2,7]=>[5,6,4,3,1,2,7]=>[5,6,4,3,1,2,7]=>011100 [5,1,6,4,3,7,2]=>[5,6,4,3,1,7,2]=>[5,7,4,3,1,2,6]=>011100 [5,1,6,4,7,2,3]=>[1,5,6,4,2,7,3]=>[1,5,7,4,2,3,6]=>001100 [5,1,6,4,7,3,2]=>[5,6,4,7,1,3,2]=>[5,7,6,3,1,2,4]=>011100 [5,1,6,7,2,3,4]=>[1,2,5,6,3,7,4]=>[1,2,5,7,3,4,6]=>000100 [5,1,6,7,2,4,3]=>[5,1,6,7,2,4,3]=>[2,5,7,6,1,3,4]=>001100 [5,1,6,7,3,2,4]=>[1,5,6,7,3,2,4]=>[1,6,5,7,2,3,4]=>010100 [5,1,6,7,3,4,2]=>[5,1,6,3,7,4,2]=>[2,7,4,6,1,3,5]=>010100 [5,1,6,7,4,2,3]=>[1,5,6,7,2,4,3]=>[1,5,7,6,2,3,4]=>001100 [5,1,6,7,4,3,2]=>[5,6,7,4,1,3,2]=>[5,7,6,4,1,2,3]=>011100 [5,1,7,2,3,4,6]=>[1,2,5,3,7,4,6]=>[1,2,4,6,3,7,5]=>000101 [5,1,7,2,3,6,4]=>[5,1,7,2,6,3,4]=>[2,4,6,7,1,5,3]=>000101 [5,1,7,2,4,3,6]=>[5,1,4,7,2,3,6]=>[2,5,6,3,1,7,4]=>001101 [5,1,7,2,4,6,3]=>[5,1,7,2,4,6,3]=>[2,4,7,5,1,6,3]=>001101 [5,1,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[1,4,6,7,2,5,3]=>000101 [5,1,7,2,6,4,3]=>[5,7,6,1,4,2,3]=>[4,6,7,5,1,3,2]=>001101 [5,1,7,3,2,4,6]=>[3,5,1,7,2,4,6]=>[3,5,1,6,2,7,4]=>010101 [5,1,7,3,2,6,4]=>[5,7,3,6,1,2,4]=>[5,6,3,7,1,4,2]=>010101 [5,1,7,3,4,2,6]=>[5,1,3,7,4,2,6]=>[2,6,3,5,1,7,4]=>010101 [5,1,7,3,4,6,2]=>[5,1,3,7,4,6,2]=>[2,7,3,5,1,6,4]=>010101 [5,1,7,3,6,2,4]=>[1,5,7,3,2,6,4]=>[1,5,4,7,2,6,3]=>010101 [5,1,7,3,6,4,2]=>[5,7,6,1,3,4,2]=>[4,7,5,6,1,3,2]=>010101 [5,1,7,4,2,3,6]=>[1,5,4,7,2,3,6]=>[1,5,6,3,2,7,4]=>001101 [5,1,7,4,2,6,3]=>[5,4,7,6,1,2,3]=>[5,6,7,2,1,4,3]=>001101 [5,1,7,4,3,2,6]=>[5,4,7,3,1,2,6]=>[5,6,4,2,1,7,3]=>011101 [5,1,7,4,3,6,2]=>[5,4,7,3,1,6,2]=>[5,7,4,2,1,6,3]=>011101 [5,1,7,4,6,2,3]=>[1,5,7,2,4,6,3]=>[1,4,7,5,2,6,3]=>001101 [5,1,7,4,6,3,2]=>[5,7,4,1,6,3,2]=>[4,7,6,3,1,5,2]=>011101 [5,1,7,6,2,3,4]=>[1,2,7,5,6,3,4]=>[1,2,6,7,4,5,3]=>000101 [5,1,7,6,2,4,3]=>[7,1,5,6,4,2,3]=>[2,6,7,5,3,4,1]=>001101 [5,1,7,6,3,2,4]=>[3,7,5,6,1,2,4]=>[5,6,1,7,3,4,2]=>010101 [5,1,7,6,3,4,2]=>[7,1,5,6,3,4,2]=>[2,7,5,6,3,4,1]=>010101 [5,1,7,6,4,2,3]=>[1,7,5,6,4,2,3]=>[1,6,7,5,3,4,2]=>001101 [5,1,7,6,4,3,2]=>[7,5,6,4,3,1,2]=>[6,7,5,4,2,3,1]=>011101 [5,2,1,3,4,6,7]=>[2,1,5,3,4,6,7]=>[2,1,4,5,3,6,7]=>100100 [5,2,1,3,4,7,6]=>[7,2,1,5,3,4,6]=>[3,2,5,6,4,7,1]=>100101 [5,2,1,3,6,4,7]=>[5,2,6,1,3,4,7]=>[4,2,5,6,1,3,7]=>100100 [5,2,1,3,6,7,4]=>[5,2,6,1,3,7,4]=>[4,2,5,7,1,3,6]=>100100 [5,2,1,3,7,4,6]=>[5,2,1,7,3,4,6]=>[3,2,5,6,1,7,4]=>100101 [5,2,1,3,7,6,4]=>[7,5,2,6,1,3,4]=>[5,3,6,7,2,4,1]=>100101 [5,2,1,4,3,6,7]=>[5,2,4,1,3,6,7]=>[4,2,5,3,1,6,7]=>101100 [5,2,1,4,3,7,6]=>[7,5,2,4,1,3,6]=>[5,3,6,4,2,7,1]=>101101 [5,2,1,4,6,3,7]=>[5,2,4,1,6,3,7]=>[4,2,6,3,1,5,7]=>101100 [5,2,1,4,6,7,3]=>[5,2,4,1,6,7,3]=>[4,2,7,3,1,5,6]=>101100 [5,2,1,4,7,3,6]=>[5,2,4,1,3,7,6]=>[4,2,5,3,1,7,6]=>101101 [5,2,1,4,7,6,3]=>[7,5,2,4,1,6,3]=>[5,3,7,4,2,6,1]=>101101 [5,2,1,6,3,4,7]=>[2,5,6,1,3,4,7]=>[4,1,5,6,2,3,7]=>100100 [5,2,1,6,3,7,4]=>[5,6,7,2,1,3,4]=>[5,4,6,7,1,2,3]=>100100 [5,2,1,6,4,3,7]=>[5,6,4,2,1,3,7]=>[5,4,6,3,1,2,7]=>101100 [5,2,1,6,4,7,3]=>[5,6,4,2,1,7,3]=>[5,4,7,3,1,2,6]=>101100 [5,2,1,6,7,3,4]=>[2,5,6,1,3,7,4]=>[4,1,5,7,2,3,6]=>100100 [5,2,1,6,7,4,3]=>[5,6,7,2,1,4,3]=>[5,4,7,6,1,2,3]=>101100 [5,2,1,7,3,4,6]=>[2,5,1,7,3,4,6]=>[3,1,5,6,2,7,4]=>100101 [5,2,1,7,3,6,4]=>[5,7,2,6,1,3,4]=>[5,3,6,7,1,4,2]=>100101 [5,2,1,7,4,3,6]=>[5,4,7,2,1,3,6]=>[5,4,6,2,1,7,3]=>101101 [5,2,1,7,4,6,3]=>[5,7,2,4,1,6,3]=>[5,3,7,4,1,6,2]=>101101 [5,2,1,7,6,3,4]=>[2,7,5,6,1,3,4]=>[5,1,6,7,3,4,2]=>100101 [5,2,1,7,6,4,3]=>[7,5,6,4,2,1,3]=>[6,5,7,4,2,3,1]=>101101 [5,2,3,1,4,6,7]=>[2,3,5,1,4,6,7]=>[4,1,2,5,3,6,7]=>100100 [5,2,3,1,4,7,6]=>[7,2,3,5,1,4,6]=>[5,2,3,6,4,7,1]=>100101 [5,2,3,1,6,4,7]=>[5,2,6,3,1,4,7]=>[5,2,4,6,1,3,7]=>100100 [5,2,3,1,6,7,4]=>[5,2,6,3,1,7,4]=>[5,2,4,7,1,3,6]=>100100 [5,2,3,1,7,4,6]=>[5,2,3,7,1,4,6]=>[5,2,3,6,1,7,4]=>100101 [5,2,3,1,7,6,4]=>[7,5,2,6,3,1,4]=>[6,3,5,7,2,4,1]=>100101 [5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]=>[5,1,2,4,3,6,7]=>100100 [5,2,3,4,1,7,6]=>[7,2,3,5,4,1,6]=>[6,2,3,5,4,7,1]=>100101 [5,2,3,4,6,1,7]=>[2,3,5,4,6,1,7]=>[6,1,2,4,3,5,7]=>100100 [5,2,3,4,6,7,1]=>[2,3,5,4,6,7,1]=>[7,1,2,4,3,5,6]=>100100 [5,2,3,4,7,1,6]=>[2,3,5,4,1,7,6]=>[5,1,2,4,3,7,6]=>100101 [5,2,3,4,7,6,1]=>[7,2,3,5,4,6,1]=>[7,2,3,5,4,6,1]=>100101 [5,2,3,6,1,4,7]=>[2,3,5,1,6,4,7]=>[4,1,2,6,3,5,7]=>100100 [5,2,3,6,1,7,4]=>[5,2,6,3,7,1,4]=>[6,2,4,7,1,3,5]=>100100 [5,2,3,6,4,1,7]=>[5,2,6,3,4,1,7]=>[6,2,4,5,1,3,7]=>100100 [5,2,3,6,4,7,1]=>[5,2,6,3,4,7,1]=>[7,2,4,5,1,3,6]=>100100 [5,2,3,6,7,1,4]=>[2,3,5,1,6,7,4]=>[4,1,2,7,3,5,6]=>100100 [5,2,3,6,7,4,1]=>[5,2,6,3,7,4,1]=>[7,2,4,6,1,3,5]=>100100 [5,2,3,7,1,4,6]=>[2,3,5,1,4,7,6]=>[4,1,2,5,3,7,6]=>100101 [5,2,3,7,1,6,4]=>[5,2,7,3,1,6,4]=>[5,2,4,7,1,6,3]=>100101 [5,2,3,7,4,1,6]=>[5,2,3,7,4,1,6]=>[6,2,3,5,1,7,4]=>100101 [5,2,3,7,4,6,1]=>[5,2,3,7,4,6,1]=>[7,2,3,5,1,6,4]=>100101 [5,2,3,7,6,1,4]=>[2,7,3,5,1,6,4]=>[5,1,3,7,4,6,2]=>100101 [5,2,3,7,6,4,1]=>[7,5,2,6,3,4,1]=>[7,3,5,6,2,4,1]=>100101 [5,2,4,1,3,6,7]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>101100 [5,2,4,1,3,7,6]=>[7,2,1,5,4,3,6]=>[3,2,6,5,4,7,1]=>101101 [5,2,4,1,6,3,7]=>[5,2,4,6,1,3,7]=>[5,2,6,3,1,4,7]=>101100 [5,2,4,1,6,7,3]=>[5,2,4,6,1,7,3]=>[5,2,7,3,1,4,6]=>101100 [5,2,4,1,7,3,6]=>[5,2,4,1,7,3,6]=>[4,2,6,3,1,7,5]=>101101 [5,2,4,1,7,6,3]=>[7,5,2,4,6,1,3]=>[6,3,7,4,2,5,1]=>101101 [5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]=>101100 [5,2,4,3,1,7,6]=>[7,5,2,4,3,1,6]=>[6,3,5,4,2,7,1]=>101101 [5,2,4,3,6,1,7]=>[5,2,4,3,6,1,7]=>[6,2,4,3,1,5,7]=>101100 [5,2,4,3,6,7,1]=>[5,2,4,3,6,7,1]=>[7,2,4,3,1,5,6]=>101100 [5,2,4,3,7,1,6]=>[5,2,4,3,1,7,6]=>[5,2,4,3,1,7,6]=>101101 [5,2,4,3,7,6,1]=>[7,5,2,4,3,6,1]=>[7,3,5,4,2,6,1]=>101101 [5,2,4,6,1,3,7]=>[2,1,5,4,6,3,7]=>[2,1,6,4,3,5,7]=>101100 [5,2,4,6,1,7,3]=>[5,2,4,6,7,1,3]=>[6,2,7,3,1,4,5]=>101100 [5,2,4,6,3,1,7]=>[5,2,4,6,3,1,7]=>[6,2,5,3,1,4,7]=>101100 [5,2,4,6,3,7,1]=>[5,2,4,6,3,7,1]=>[7,2,5,3,1,4,6]=>101100 [5,2,4,6,7,1,3]=>[2,1,5,4,6,7,3]=>[2,1,7,4,3,5,6]=>101100 [5,2,4,6,7,3,1]=>[5,2,4,6,7,3,1]=>[7,2,6,3,1,4,5]=>101100 [5,2,4,7,1,3,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>101101 [5,2,4,7,1,6,3]=>[5,2,4,7,1,6,3]=>[5,2,7,3,1,6,4]=>101101 [5,2,4,7,3,1,6]=>[5,2,4,3,7,1,6]=>[6,2,4,3,1,7,5]=>101101 [5,2,4,7,3,6,1]=>[5,2,4,3,7,6,1]=>[7,2,4,3,1,6,5]=>101101 [5,2,4,7,6,1,3]=>[2,7,1,5,4,6,3]=>[3,1,7,5,4,6,2]=>101101 [5,2,4,7,6,3,1]=>[7,5,2,4,6,3,1]=>[7,3,6,4,2,5,1]=>101101 [5,2,6,1,3,4,7]=>[2,1,5,3,6,4,7]=>[2,1,4,6,3,5,7]=>100100 [5,2,6,1,3,7,4]=>[5,2,6,1,7,3,4]=>[4,2,6,7,1,3,5]=>100100 [5,2,6,1,4,3,7]=>[5,2,6,1,4,3,7]=>[4,2,6,5,1,3,7]=>101100 [5,2,6,1,4,7,3]=>[5,2,6,1,4,7,3]=>[4,2,7,5,1,3,6]=>101100 [5,2,6,1,7,3,4]=>[2,5,6,1,7,3,4]=>[4,1,6,7,2,3,5]=>100100 [5,2,6,1,7,4,3]=>[5,6,7,2,4,1,3]=>[6,4,7,5,1,2,3]=>101100 [5,2,6,3,1,4,7]=>[2,5,6,3,1,4,7]=>[5,1,4,6,2,3,7]=>100100 [5,2,6,3,1,7,4]=>[5,6,7,2,3,1,4]=>[6,4,5,7,1,2,3]=>100100 [5,2,6,3,4,1,7]=>[2,5,6,3,4,1,7]=>[6,1,4,5,2,3,7]=>100100 [5,2,6,3,4,7,1]=>[2,5,6,3,4,7,1]=>[7,1,4,5,2,3,6]=>100100 [5,2,6,3,7,1,4]=>[2,5,6,3,1,7,4]=>[5,1,4,7,2,3,6]=>100100 [5,2,6,3,7,4,1]=>[5,6,7,2,3,4,1]=>[7,4,5,6,1,2,3]=>100100 [5,2,6,4,1,3,7]=>[2,5,6,1,4,3,7]=>[4,1,6,5,2,3,7]=>101100 [5,2,6,4,1,7,3]=>[5,6,4,2,7,1,3]=>[6,4,7,3,1,2,5]=>101100 [5,2,6,4,3,1,7]=>[5,6,4,2,3,1,7]=>[6,4,5,3,1,2,7]=>101100 [5,2,6,4,3,7,1]=>[5,6,4,2,3,7,1]=>[7,4,5,3,1,2,6]=>101100 [5,2,6,4,7,1,3]=>[2,5,6,1,4,7,3]=>[4,1,7,5,2,3,6]=>101100 [5,2,6,4,7,3,1]=>[5,6,4,2,7,3,1]=>[7,4,6,3,1,2,5]=>101100 [5,2,6,7,1,3,4]=>[2,1,5,3,6,7,4]=>[2,1,4,7,3,5,6]=>100100 [5,2,6,7,1,4,3]=>[5,2,6,1,7,4,3]=>[4,2,7,6,1,3,5]=>101100 [5,2,6,7,3,1,4]=>[2,5,6,3,7,1,4]=>[6,1,4,7,2,3,5]=>100100 [5,2,6,7,3,4,1]=>[2,5,6,3,7,4,1]=>[7,1,4,6,2,3,5]=>100100 [5,2,6,7,4,1,3]=>[2,5,6,1,7,4,3]=>[4,1,7,6,2,3,5]=>101100 [5,2,6,7,4,3,1]=>[5,6,7,2,4,3,1]=>[7,4,6,5,1,2,3]=>101100 [5,2,7,1,3,4,6]=>[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6]=>100101 [5,2,7,1,3,6,4]=>[5,2,7,1,3,6,4]=>[4,2,5,7,1,6,3]=>100101 [5,2,7,1,4,3,6]=>[5,2,1,7,4,3,6]=>[3,2,6,5,1,7,4]=>101101 [5,2,7,1,4,6,3]=>[5,2,4,1,7,6,3]=>[4,2,7,3,1,6,5]=>101101 [5,2,7,1,6,3,4]=>[2,5,7,1,3,6,4]=>[4,1,5,7,2,6,3]=>100101 [5,2,7,1,6,4,3]=>[5,7,6,2,1,4,3]=>[5,4,7,6,1,3,2]=>101101 [5,2,7,3,1,4,6]=>[2,5,3,7,1,4,6]=>[5,1,3,6,2,7,4]=>100101 [5,2,7,3,1,6,4]=>[5,7,2,6,3,1,4]=>[6,3,5,7,1,4,2]=>100101 [5,2,7,3,4,1,6]=>[2,5,3,7,4,1,6]=>[6,1,3,5,2,7,4]=>100101 [5,2,7,3,4,6,1]=>[2,5,3,7,4,6,1]=>[7,1,3,5,2,6,4]=>100101 [5,2,7,3,6,1,4]=>[2,5,3,7,1,6,4]=>[5,1,3,7,2,6,4]=>100101 [5,2,7,3,6,4,1]=>[5,7,2,6,3,4,1]=>[7,3,5,6,1,4,2]=>100101 [5,2,7,4,1,3,6]=>[2,5,1,7,4,3,6]=>[3,1,6,5,2,7,4]=>101101 [5,2,7,4,1,6,3]=>[5,7,2,4,6,1,3]=>[6,3,7,4,1,5,2]=>101101 [5,2,7,4,3,1,6]=>[5,4,7,2,3,1,6]=>[6,4,5,2,1,7,3]=>101101 [5,2,7,4,3,6,1]=>[5,4,7,2,3,6,1]=>[7,4,5,2,1,6,3]=>101101 [5,2,7,4,6,1,3]=>[2,5,1,7,4,6,3]=>[3,1,7,5,2,6,4]=>101101 [5,2,7,4,6,3,1]=>[5,7,2,4,6,3,1]=>[7,3,6,4,1,5,2]=>101101 [5,2,7,6,1,3,4]=>[2,1,7,5,3,6,4]=>[2,1,5,7,4,6,3]=>100101 [5,2,7,6,1,4,3]=>[7,2,5,6,1,4,3]=>[5,2,7,6,3,4,1]=>101101 [5,2,7,6,3,1,4]=>[2,7,5,6,3,1,4]=>[6,1,5,7,3,4,2]=>100101 [5,2,7,6,3,4,1]=>[2,7,5,6,3,4,1]=>[7,1,5,6,3,4,2]=>100101 [5,2,7,6,4,1,3]=>[2,7,5,6,1,4,3]=>[5,1,7,6,3,4,2]=>101101 [5,2,7,6,4,3,1]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>101101 [5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,4,2,5,3,6,7]=>010100 [5,3,1,2,4,7,6]=>[7,1,3,5,2,4,6]=>[2,5,3,6,4,7,1]=>010101 [5,3,1,2,6,4,7]=>[5,1,6,3,2,4,7]=>[2,5,4,6,1,3,7]=>010100 [5,3,1,2,6,7,4]=>[5,1,6,3,2,7,4]=>[2,5,4,7,1,3,6]=>010100 [5,3,1,2,7,4,6]=>[5,1,3,7,2,4,6]=>[2,5,3,6,1,7,4]=>010101 [5,3,1,2,7,6,4]=>[7,5,1,6,3,2,4]=>[3,6,5,7,2,4,1]=>010101 [5,3,1,4,2,6,7]=>[3,5,4,1,2,6,7]=>[4,5,1,3,2,6,7]=>010100 [5,3,1,4,2,7,6]=>[7,3,5,4,1,2,6]=>[5,6,2,4,3,7,1]=>010101 [5,3,1,4,6,2,7]=>[3,5,4,1,6,2,7]=>[4,6,1,3,2,5,7]=>010100 [5,3,1,4,6,7,2]=>[3,5,4,1,6,7,2]=>[4,7,1,3,2,5,6]=>010100 [5,3,1,4,7,2,6]=>[3,5,4,1,2,7,6]=>[4,5,1,3,2,7,6]=>010101 [5,3,1,4,7,6,2]=>[7,3,5,4,1,6,2]=>[5,7,2,4,3,6,1]=>010101 [5,3,1,6,2,4,7]=>[3,5,1,6,2,4,7]=>[3,5,1,6,2,4,7]=>010100 [5,3,1,6,2,7,4]=>[5,6,3,7,1,2,4]=>[5,6,3,7,1,2,4]=>010100 [5,3,1,6,4,2,7]=>[5,6,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>010100 [5,3,1,6,4,7,2]=>[5,6,3,4,1,7,2]=>[5,7,3,4,1,2,6]=>010100 [5,3,1,6,7,2,4]=>[3,5,1,6,2,7,4]=>[3,5,1,7,2,4,6]=>010100 [5,3,1,6,7,4,2]=>[5,6,3,7,1,4,2]=>[5,7,3,6,1,2,4]=>010100 [5,3,1,7,2,4,6]=>[3,5,1,2,7,4,6]=>[3,4,1,6,2,7,5]=>010101 [5,3,1,7,2,6,4]=>[5,7,3,1,6,2,4]=>[4,6,3,7,1,5,2]=>010101 [5,3,1,7,4,2,6]=>[5,3,7,4,1,2,6]=>[5,6,2,4,1,7,3]=>010101 [5,3,1,7,4,6,2]=>[5,3,7,4,1,6,2]=>[5,7,2,4,1,6,3]=>010101 [5,3,1,7,6,2,4]=>[3,7,5,1,6,2,4]=>[4,6,1,7,3,5,2]=>010101 [5,3,1,7,6,4,2]=>[7,5,6,3,4,1,2]=>[6,7,4,5,2,3,1]=>010101 [5,3,2,1,4,6,7]=>[3,5,2,1,4,6,7]=>[4,3,1,5,2,6,7]=>110100 [5,3,2,1,4,7,6]=>[7,3,5,2,1,4,6]=>[5,4,2,6,3,7,1]=>110101 [5,3,2,1,6,4,7]=>[5,6,3,2,1,4,7]=>[5,4,3,6,1,2,7]=>110100 [5,3,2,1,6,7,4]=>[5,6,3,2,1,7,4]=>[5,4,3,7,1,2,6]=>110100 [5,3,2,1,7,4,6]=>[5,3,7,2,1,4,6]=>[5,4,2,6,1,7,3]=>110101 [5,3,2,1,7,6,4]=>[7,5,6,3,2,1,4]=>[6,5,4,7,2,3,1]=>110101 [5,3,2,4,1,6,7]=>[3,5,2,4,1,6,7]=>[5,3,1,4,2,6,7]=>110100 [5,3,2,4,1,7,6]=>[7,3,5,2,4,1,6]=>[6,4,2,5,3,7,1]=>110101 [5,3,2,4,6,1,7]=>[3,5,2,4,6,1,7]=>[6,3,1,4,2,5,7]=>110100 [5,3,2,4,6,7,1]=>[3,5,2,4,6,7,1]=>[7,3,1,4,2,5,6]=>110100 [5,3,2,4,7,1,6]=>[3,5,2,4,1,7,6]=>[5,3,1,4,2,7,6]=>110101 [5,3,2,4,7,6,1]=>[7,3,5,2,4,6,1]=>[7,4,2,5,3,6,1]=>110101 [5,3,2,6,1,4,7]=>[3,5,2,1,6,4,7]=>[4,3,1,6,2,5,7]=>110100 [5,3,2,6,1,7,4]=>[5,6,3,2,7,1,4]=>[6,4,3,7,1,2,5]=>110100 [5,3,2,6,4,1,7]=>[5,6,3,2,4,1,7]=>[6,4,3,5,1,2,7]=>110100 [5,3,2,6,4,7,1]=>[5,6,3,2,4,7,1]=>[7,4,3,5,1,2,6]=>110100 [5,3,2,6,7,1,4]=>[3,5,2,1,6,7,4]=>[4,3,1,7,2,5,6]=>110100 [5,3,2,6,7,4,1]=>[5,6,3,2,7,4,1]=>[7,4,3,6,1,2,5]=>110100 [5,3,2,7,1,4,6]=>[3,5,2,1,4,7,6]=>[4,3,1,5,2,7,6]=>110101 [5,3,2,7,1,6,4]=>[5,7,3,2,1,6,4]=>[5,4,3,7,1,6,2]=>110101 [5,3,2,7,4,1,6]=>[5,3,7,2,4,1,6]=>[6,4,2,5,1,7,3]=>110101 [5,3,2,7,4,6,1]=>[5,3,7,2,4,6,1]=>[7,4,2,5,1,6,3]=>110101 [5,3,2,7,6,1,4]=>[3,7,5,2,1,6,4]=>[5,4,1,7,3,6,2]=>110101 [5,3,2,7,6,4,1]=>[7,5,6,3,2,4,1]=>[7,5,4,6,2,3,1]=>110101 [5,3,4,1,2,6,7]=>[1,3,5,4,2,6,7]=>[1,5,2,4,3,6,7]=>010100 [5,3,4,1,2,7,6]=>[7,1,3,5,4,2,6]=>[2,6,3,5,4,7,1]=>010101 [5,3,4,1,6,2,7]=>[3,5,4,6,1,2,7]=>[5,6,1,3,2,4,7]=>010100 [5,3,4,1,6,7,2]=>[3,5,4,6,1,7,2]=>[5,7,1,3,2,4,6]=>010100 [5,3,4,1,7,2,6]=>[3,5,4,1,7,2,6]=>[4,6,1,3,2,7,5]=>010101 [5,3,4,1,7,6,2]=>[7,3,5,4,6,1,2]=>[6,7,2,4,3,5,1]=>010101 [5,3,4,2,1,6,7]=>[3,5,4,2,1,6,7]=>[5,4,1,3,2,6,7]=>110100 [5,3,4,2,1,7,6]=>[7,3,5,4,2,1,6]=>[6,5,2,4,3,7,1]=>110101 [5,3,4,2,6,1,7]=>[3,5,4,2,6,1,7]=>[6,4,1,3,2,5,7]=>110100 [5,3,4,2,6,7,1]=>[3,5,4,2,6,7,1]=>[7,4,1,3,2,5,6]=>110100 [5,3,4,2,7,1,6]=>[3,5,4,2,1,7,6]=>[5,4,1,3,2,7,6]=>110101 [5,3,4,2,7,6,1]=>[7,3,5,4,2,6,1]=>[7,5,2,4,3,6,1]=>110101 [5,3,4,6,1,2,7]=>[1,3,5,4,6,2,7]=>[1,6,2,4,3,5,7]=>010100 [5,3,4,6,1,7,2]=>[3,5,4,6,7,1,2]=>[6,7,1,3,2,4,5]=>010100 [5,3,4,6,2,1,7]=>[3,5,4,6,2,1,7]=>[6,5,1,3,2,4,7]=>110100 [5,3,4,6,2,7,1]=>[3,5,4,6,2,7,1]=>[7,5,1,3,2,4,6]=>110100 [5,3,4,6,7,1,2]=>[1,3,5,4,6,7,2]=>[1,7,2,4,3,5,6]=>010100 [5,3,4,6,7,2,1]=>[3,5,4,6,7,2,1]=>[7,6,1,3,2,4,5]=>110100 [5,3,4,7,1,2,6]=>[1,3,5,4,2,7,6]=>[1,5,2,4,3,7,6]=>010101 [5,3,4,7,1,6,2]=>[3,5,4,7,1,6,2]=>[5,7,1,3,2,6,4]=>010101 [5,3,4,7,2,1,6]=>[3,5,4,2,7,1,6]=>[6,4,1,3,2,7,5]=>110101 [5,3,4,7,2,6,1]=>[3,5,4,2,7,6,1]=>[7,4,1,3,2,6,5]=>110101 [5,3,4,7,6,1,2]=>[1,7,3,5,4,6,2]=>[1,7,3,5,4,6,2]=>010101 [5,3,4,7,6,2,1]=>[7,3,5,4,6,2,1]=>[7,6,2,4,3,5,1]=>110101 [5,3,6,1,2,4,7]=>[1,3,5,2,6,4,7]=>[1,4,2,6,3,5,7]=>010100 [5,3,6,1,2,7,4]=>[5,1,6,3,7,2,4]=>[2,6,4,7,1,3,5]=>010100 [5,3,6,1,4,2,7]=>[3,5,6,1,4,2,7]=>[4,6,1,5,2,3,7]=>010100 [5,3,6,1,4,7,2]=>[3,5,6,1,4,7,2]=>[4,7,1,5,2,3,6]=>010100 [5,3,6,1,7,2,4]=>[3,5,1,6,7,2,4]=>[3,6,1,7,2,4,5]=>010100 [5,3,6,1,7,4,2]=>[5,6,3,7,4,1,2]=>[6,7,3,5,1,2,4]=>010100 [5,3,6,2,1,4,7]=>[3,5,2,6,1,4,7]=>[5,3,1,6,2,4,7]=>110100 [5,3,6,2,1,7,4]=>[5,6,3,7,2,1,4]=>[6,5,3,7,1,2,4]=>110100 [5,3,6,2,4,1,7]=>[3,5,2,6,4,1,7]=>[6,3,1,5,2,4,7]=>110100 [5,3,6,2,4,7,1]=>[3,5,2,6,4,7,1]=>[7,3,1,5,2,4,6]=>110100 [5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>[5,3,1,7,2,4,6]=>110100 [5,3,6,2,7,4,1]=>[5,6,3,7,2,4,1]=>[7,5,3,6,1,2,4]=>110100 [5,3,6,4,1,2,7]=>[1,5,6,3,4,2,7]=>[1,6,4,5,2,3,7]=>010100 [5,3,6,4,1,7,2]=>[5,6,3,4,7,1,2]=>[6,7,3,4,1,2,5]=>010100 [5,3,6,4,2,1,7]=>[5,6,3,4,2,1,7]=>[6,5,3,4,1,2,7]=>110100 [5,3,6,4,2,7,1]=>[5,6,3,4,2,7,1]=>[7,5,3,4,1,2,6]=>110100 [5,3,6,4,7,1,2]=>[1,5,6,3,4,7,2]=>[1,7,4,5,2,3,6]=>010100 [5,3,6,4,7,2,1]=>[5,6,3,4,7,2,1]=>[7,6,3,4,1,2,5]=>110100 [5,3,6,7,1,2,4]=>[1,3,5,2,6,7,4]=>[1,4,2,7,3,5,6]=>010100 [5,3,6,7,1,4,2]=>[3,5,6,1,7,4,2]=>[4,7,1,6,2,3,5]=>010100 [5,3,6,7,2,1,4]=>[3,5,2,6,7,1,4]=>[6,3,1,7,2,4,5]=>110100 [5,3,6,7,2,4,1]=>[3,5,2,6,7,4,1]=>[7,3,1,6,2,4,5]=>110100 [5,3,6,7,4,1,2]=>[1,5,6,3,7,4,2]=>[1,7,4,6,2,3,5]=>010100 [5,3,6,7,4,2,1]=>[5,6,3,7,4,2,1]=>[7,6,3,5,1,2,4]=>110100 [5,3,7,1,2,4,6]=>[1,3,5,2,4,7,6]=>[1,4,2,5,3,7,6]=>010101 [5,3,7,1,2,6,4]=>[5,1,7,3,2,6,4]=>[2,5,4,7,1,6,3]=>010101 [5,3,7,1,4,2,6]=>[3,5,1,7,4,2,6]=>[3,6,1,5,2,7,4]=>010101 [5,3,7,1,4,6,2]=>[3,5,4,1,7,6,2]=>[4,7,1,3,2,6,5]=>010101 [5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>[3,5,1,7,2,6,4]=>010101 [5,3,7,1,6,4,2]=>[5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>010101 [5,3,7,2,1,4,6]=>[3,5,2,1,7,4,6]=>[4,3,1,6,2,7,5]=>110101 [5,3,7,2,1,6,4]=>[5,7,3,2,6,1,4]=>[6,4,3,7,1,5,2]=>110101 [5,3,7,2,4,1,6]=>[3,5,2,4,7,1,6]=>[6,3,1,4,2,7,5]=>110101 [5,3,7,2,4,6,1]=>[3,5,2,4,7,6,1]=>[7,3,1,4,2,6,5]=>110101 [5,3,7,2,6,1,4]=>[3,5,2,1,7,6,4]=>[4,3,1,7,2,6,5]=>110101 [5,3,7,2,6,4,1]=>[5,7,3,2,6,4,1]=>[7,4,3,6,1,5,2]=>110101 [5,3,7,4,1,2,6]=>[1,5,3,7,4,2,6]=>[1,6,3,5,2,7,4]=>010101 [5,3,7,4,1,6,2]=>[5,3,7,4,6,1,2]=>[6,7,2,4,1,5,3]=>010101 [5,3,7,4,2,1,6]=>[5,3,7,4,2,1,6]=>[6,5,2,4,1,7,3]=>110101 [5,3,7,4,2,6,1]=>[5,3,7,4,2,6,1]=>[7,5,2,4,1,6,3]=>110101 [5,3,7,4,6,1,2]=>[1,5,3,7,4,6,2]=>[1,7,3,5,2,6,4]=>010101 [5,3,7,4,6,2,1]=>[5,3,7,4,6,2,1]=>[7,6,2,4,1,5,3]=>110101 [5,3,7,6,1,2,4]=>[1,3,7,5,2,6,4]=>[1,5,2,7,4,6,3]=>010101 [5,3,7,6,1,4,2]=>[3,7,5,6,1,4,2]=>[5,7,1,6,3,4,2]=>010101 [5,3,7,6,2,1,4]=>[3,7,5,2,6,1,4]=>[6,4,1,7,3,5,2]=>110101 [5,3,7,6,2,4,1]=>[3,7,5,2,6,4,1]=>[7,4,1,6,3,5,2]=>110101 [5,3,7,6,4,1,2]=>[1,7,5,6,3,4,2]=>[1,7,5,6,3,4,2]=>010101 [5,3,7,6,4,2,1]=>[7,5,6,3,4,2,1]=>[7,6,4,5,2,3,1]=>110101 [5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>001100 [5,4,1,2,3,7,6]=>[7,1,2,5,4,3,6]=>[2,3,6,5,4,7,1]=>001101 [5,4,1,2,6,3,7]=>[5,1,4,6,2,3,7]=>[2,5,6,3,1,4,7]=>001100 [5,4,1,2,6,7,3]=>[5,1,4,6,2,7,3]=>[2,5,7,3,1,4,6]=>001100 [5,4,1,2,7,3,6]=>[5,1,4,2,7,3,6]=>[2,4,6,3,1,7,5]=>001101 [5,4,1,2,7,6,3]=>[7,5,1,4,6,2,3]=>[3,6,7,4,2,5,1]=>001101 [5,4,1,3,2,6,7]=>[5,1,4,3,2,6,7]=>[2,5,4,3,1,6,7]=>011100 [5,4,1,3,2,7,6]=>[7,5,1,4,3,2,6]=>[3,6,5,4,2,7,1]=>011101 [5,4,1,3,6,2,7]=>[5,1,4,3,6,2,7]=>[2,6,4,3,1,5,7]=>011100 [5,4,1,3,6,7,2]=>[5,1,4,3,6,7,2]=>[2,7,4,3,1,5,6]=>011100 [5,4,1,3,7,2,6]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6]=>011101 [5,4,1,3,7,6,2]=>[7,5,1,4,3,6,2]=>[3,7,5,4,2,6,1]=>011101 [5,4,1,6,2,3,7]=>[1,5,4,6,2,3,7]=>[1,5,6,3,2,4,7]=>001100 [5,4,1,6,2,7,3]=>[5,4,6,7,1,2,3]=>[5,6,7,2,1,3,4]=>001100 [5,4,1,6,3,2,7]=>[5,4,6,3,1,2,7]=>[5,6,4,2,1,3,7]=>011100 [5,4,1,6,3,7,2]=>[5,4,6,3,1,7,2]=>[5,7,4,2,1,3,6]=>011100 [5,4,1,6,7,2,3]=>[1,5,4,6,2,7,3]=>[1,5,7,3,2,4,6]=>001100 [5,4,1,6,7,3,2]=>[5,4,6,7,1,3,2]=>[5,7,6,2,1,3,4]=>011100 [5,4,1,7,2,3,6]=>[1,5,4,2,7,3,6]=>[1,4,6,3,2,7,5]=>001101 [5,4,1,7,2,6,3]=>[5,4,7,1,6,2,3]=>[4,6,7,2,1,5,3]=>001101 [5,4,1,7,3,2,6]=>[5,4,3,7,1,2,6]=>[5,6,3,2,1,7,4]=>011101 [5,4,1,7,3,6,2]=>[5,4,7,1,3,6,2]=>[4,7,5,2,1,6,3]=>011101 [5,4,1,7,6,2,3]=>[1,7,5,4,6,2,3]=>[1,6,7,4,3,5,2]=>001101 [5,4,1,7,6,3,2]=>[7,5,4,6,3,1,2]=>[6,7,5,3,2,4,1]=>011101 [5,4,2,1,3,6,7]=>[2,5,4,1,3,6,7]=>[4,1,5,3,2,6,7]=>101100 [5,4,2,1,3,7,6]=>[7,2,5,4,1,3,6]=>[5,2,6,4,3,7,1]=>101101 [5,4,2,1,6,3,7]=>[5,4,6,2,1,3,7]=>[5,4,6,2,1,3,7]=>101100 [5,4,2,1,6,7,3]=>[5,4,6,2,1,7,3]=>[5,4,7,2,1,3,6]=>101100 [5,4,2,1,7,3,6]=>[5,4,2,7,1,3,6]=>[5,3,6,2,1,7,4]=>101101 [5,4,2,1,7,6,3]=>[7,5,4,6,2,1,3]=>[6,5,7,3,2,4,1]=>101101 [5,4,2,3,1,6,7]=>[2,5,4,3,1,6,7]=>[5,1,4,3,2,6,7]=>101100 [5,4,2,3,1,7,6]=>[7,2,5,4,3,1,6]=>[6,2,5,4,3,7,1]=>101101 [5,4,2,3,6,1,7]=>[2,5,4,3,6,1,7]=>[6,1,4,3,2,5,7]=>101100 [5,4,2,3,6,7,1]=>[2,5,4,3,6,7,1]=>[7,1,4,3,2,5,6]=>101100 [5,4,2,3,7,1,6]=>[2,5,4,3,1,7,6]=>[5,1,4,3,2,7,6]=>101101 [5,4,2,3,7,6,1]=>[7,2,5,4,3,6,1]=>[7,2,5,4,3,6,1]=>101101 [5,4,2,6,1,3,7]=>[2,5,4,1,6,3,7]=>[4,1,6,3,2,5,7]=>101100 [5,4,2,6,1,7,3]=>[5,4,6,2,7,1,3]=>[6,4,7,2,1,3,5]=>101100 [5,4,2,6,3,1,7]=>[5,4,6,2,3,1,7]=>[6,4,5,2,1,3,7]=>101100 [5,4,2,6,3,7,1]=>[5,4,6,2,3,7,1]=>[7,4,5,2,1,3,6]=>101100 [5,4,2,6,7,1,3]=>[2,5,4,1,6,7,3]=>[4,1,7,3,2,5,6]=>101100 [5,4,2,6,7,3,1]=>[5,4,6,2,7,3,1]=>[7,4,6,2,1,3,5]=>101100 [5,4,2,7,1,3,6]=>[2,5,4,1,3,7,6]=>[4,1,5,3,2,7,6]=>101101 [5,4,2,7,1,6,3]=>[5,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>101101 [5,4,2,7,3,1,6]=>[5,4,2,7,3,1,6]=>[6,3,5,2,1,7,4]=>101101 [5,4,2,7,3,6,1]=>[5,4,2,7,3,6,1]=>[7,3,5,2,1,6,4]=>101101 [5,4,2,7,6,1,3]=>[2,7,5,4,1,6,3]=>[5,1,7,4,3,6,2]=>101101 [5,4,2,7,6,3,1]=>[7,5,4,6,2,3,1]=>[7,5,6,3,2,4,1]=>101101 [5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>011100 [5,4,3,1,2,7,6]=>[7,1,5,4,3,2,6]=>[2,6,5,4,3,7,1]=>011101 [5,4,3,1,6,2,7]=>[5,4,3,6,1,2,7]=>[5,6,3,2,1,4,7]=>011100 [5,4,3,1,6,7,2]=>[5,4,3,6,1,7,2]=>[5,7,3,2,1,4,6]=>011100 [5,4,3,1,7,2,6]=>[5,4,3,1,7,2,6]=>[4,6,3,2,1,7,5]=>011101 [5,4,3,1,7,6,2]=>[7,5,4,3,6,1,2]=>[6,7,4,3,2,5,1]=>011101 [5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>111100 [5,4,3,2,1,7,6]=>[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]=>111101 [5,4,3,2,6,1,7]=>[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]=>111100 [5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6]=>111100 [5,4,3,2,7,1,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>111101 [5,4,3,2,7,6,1]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>111101 [5,4,3,6,1,2,7]=>[1,5,4,3,6,2,7]=>[1,6,4,3,2,5,7]=>011100 [5,4,3,6,1,7,2]=>[5,4,3,6,7,1,2]=>[6,7,3,2,1,4,5]=>011100 [5,4,3,6,2,1,7]=>[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7]=>111100 [5,4,3,6,2,7,1]=>[5,4,3,6,2,7,1]=>[7,5,3,2,1,4,6]=>111100 [5,4,3,6,7,1,2]=>[1,5,4,3,6,7,2]=>[1,7,4,3,2,5,6]=>011100 [5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5]=>111100 [5,4,3,7,1,2,6]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>011101 [5,4,3,7,1,6,2]=>[5,4,3,7,1,6,2]=>[5,7,3,2,1,6,4]=>011101 [5,4,3,7,2,1,6]=>[5,4,3,2,7,1,6]=>[6,4,3,2,1,7,5]=>111101 [5,4,3,7,2,6,1]=>[5,4,3,2,7,6,1]=>[7,4,3,2,1,6,5]=>111101 [5,4,3,7,6,1,2]=>[1,7,5,4,3,6,2]=>[1,7,5,4,3,6,2]=>011101 [5,4,3,7,6,2,1]=>[7,5,4,3,6,2,1]=>[7,6,4,3,2,5,1]=>111101 [5,4,6,1,2,3,7]=>[1,2,5,4,6,3,7]=>[1,2,6,4,3,5,7]=>001100 [5,4,6,1,2,7,3]=>[5,1,4,6,7,2,3]=>[2,6,7,3,1,4,5]=>001100 [5,4,6,1,3,2,7]=>[5,1,4,6,3,2,7]=>[2,6,5,3,1,4,7]=>011100 [5,4,6,1,3,7,2]=>[5,1,4,6,3,7,2]=>[2,7,5,3,1,4,6]=>011100 [5,4,6,1,7,2,3]=>[1,5,4,6,7,2,3]=>[1,6,7,3,2,4,5]=>001100 [5,4,6,1,7,3,2]=>[5,4,6,7,3,1,2]=>[6,7,5,2,1,3,4]=>011100 [5,4,6,2,1,3,7]=>[2,5,4,6,1,3,7]=>[5,1,6,3,2,4,7]=>101100 [5,4,6,2,1,7,3]=>[5,4,6,7,2,1,3]=>[6,5,7,2,1,3,4]=>101100 [5,4,6,2,3,1,7]=>[2,5,4,6,3,1,7]=>[6,1,5,3,2,4,7]=>101100 [5,4,6,2,3,7,1]=>[2,5,4,6,3,7,1]=>[7,1,5,3,2,4,6]=>101100 [5,4,6,2,7,1,3]=>[2,5,4,6,1,7,3]=>[5,1,7,3,2,4,6]=>101100 [5,4,6,2,7,3,1]=>[5,4,6,7,2,3,1]=>[7,5,6,2,1,3,4]=>101100 [5,4,6,3,1,2,7]=>[1,5,4,6,3,2,7]=>[1,6,5,3,2,4,7]=>011100 [5,4,6,3,1,7,2]=>[5,4,6,3,7,1,2]=>[6,7,4,2,1,3,5]=>011100 [5,4,6,3,2,1,7]=>[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7]=>111100 [5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]=>[7,5,4,2,1,3,6]=>111100 [5,4,6,3,7,1,2]=>[1,5,4,6,3,7,2]=>[1,7,5,3,2,4,6]=>011100 [5,4,6,3,7,2,1]=>[5,4,6,3,7,2,1]=>[7,6,4,2,1,3,5]=>111100 [5,4,6,7,1,2,3]=>[1,2,5,4,6,7,3]=>[1,2,7,4,3,5,6]=>001100 [5,4,6,7,1,3,2]=>[5,1,4,6,7,3,2]=>[2,7,6,3,1,4,5]=>011100 [5,4,6,7,2,1,3]=>[2,5,4,6,7,1,3]=>[6,1,7,3,2,4,5]=>101100 [5,4,6,7,2,3,1]=>[2,5,4,6,7,3,1]=>[7,1,6,3,2,4,5]=>101100 [5,4,6,7,3,1,2]=>[1,5,4,6,7,3,2]=>[1,7,6,3,2,4,5]=>011100 [5,4,6,7,3,2,1]=>[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4]=>111100 [5,4,7,1,2,3,6]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>001101 [5,4,7,1,2,6,3]=>[5,1,4,7,2,6,3]=>[2,5,7,3,1,6,4]=>001101 [5,4,7,1,3,2,6]=>[5,1,4,3,7,2,6]=>[2,6,4,3,1,7,5]=>011101 [5,4,7,1,3,6,2]=>[5,1,4,3,7,6,2]=>[2,7,4,3,1,6,5]=>011101 [5,4,7,1,6,2,3]=>[1,5,4,7,2,6,3]=>[1,5,7,3,2,6,4]=>001101 [5,4,7,1,6,3,2]=>[5,4,7,6,1,3,2]=>[5,7,6,2,1,4,3]=>011101 [5,4,7,2,1,3,6]=>[2,5,4,1,7,3,6]=>[4,1,6,3,2,7,5]=>101101 [5,4,7,2,1,6,3]=>[5,4,7,2,6,1,3]=>[6,4,7,2,1,5,3]=>101101 [5,4,7,2,3,1,6]=>[2,5,4,3,7,1,6]=>[6,1,4,3,2,7,5]=>101101 [5,4,7,2,3,6,1]=>[2,5,4,3,7,6,1]=>[7,1,4,3,2,6,5]=>101101 [5,4,7,2,6,1,3]=>[2,5,4,1,7,6,3]=>[4,1,7,3,2,6,5]=>101101 [5,4,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[7,4,6,2,1,5,3]=>101101 [5,4,7,3,1,2,6]=>[1,5,4,3,7,2,6]=>[1,6,4,3,2,7,5]=>011101 [5,4,7,3,1,6,2]=>[5,4,3,7,6,1,2]=>[6,7,3,2,1,5,4]=>011101 [5,4,7,3,2,1,6]=>[5,4,3,7,2,1,6]=>[6,5,3,2,1,7,4]=>111101 [5,4,7,3,2,6,1]=>[5,4,3,7,2,6,1]=>[7,5,3,2,1,6,4]=>111101 [5,4,7,3,6,1,2]=>[1,5,4,3,7,6,2]=>[1,7,4,3,2,6,5]=>011101 [5,4,7,3,6,2,1]=>[5,4,3,7,6,2,1]=>[7,6,3,2,1,5,4]=>111101 [5,4,7,6,1,2,3]=>[1,2,7,5,4,6,3]=>[1,2,7,5,4,6,3]=>001101 [5,4,7,6,1,3,2]=>[7,1,5,4,6,3,2]=>[2,7,6,4,3,5,1]=>011101 [5,4,7,6,2,1,3]=>[2,7,5,4,6,1,3]=>[6,1,7,4,3,5,2]=>101101 [5,4,7,6,2,3,1]=>[2,7,5,4,6,3,1]=>[7,1,6,4,3,5,2]=>101101 [5,4,7,6,3,1,2]=>[1,7,5,4,6,3,2]=>[1,7,6,4,3,5,2]=>011101 [5,4,7,6,3,2,1]=>[7,5,4,6,3,2,1]=>[7,6,5,3,2,4,1]=>111101 [5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,4,5,7]=>000100 [5,6,1,2,3,7,4]=>[5,1,2,6,7,3,4]=>[2,3,6,7,1,4,5]=>000100 [5,6,1,2,4,3,7]=>[5,1,2,6,4,3,7]=>[2,3,6,5,1,4,7]=>001100 [5,6,1,2,4,7,3]=>[5,1,2,6,4,7,3]=>[2,3,7,5,1,4,6]=>001100 [5,6,1,2,7,3,4]=>[1,5,2,6,7,3,4]=>[1,3,6,7,2,4,5]=>000100 [5,6,1,2,7,4,3]=>[5,6,1,7,4,2,3]=>[3,6,7,5,1,2,4]=>001100 [5,6,1,3,2,4,7]=>[1,5,3,6,2,4,7]=>[1,5,3,6,2,4,7]=>010100 [5,6,1,3,2,7,4]=>[5,6,1,7,3,2,4]=>[3,6,5,7,1,2,4]=>010100 [5,6,1,3,4,2,7]=>[3,1,5,6,4,2,7]=>[2,6,1,5,3,4,7]=>010100 [5,6,1,3,4,7,2]=>[3,1,5,6,4,7,2]=>[2,7,1,5,3,4,6]=>010100 [5,6,1,3,7,2,4]=>[1,5,3,6,2,7,4]=>[1,5,3,7,2,4,6]=>010100 [5,6,1,3,7,4,2]=>[5,6,1,7,3,4,2]=>[3,7,5,6,1,2,4]=>010100 [5,6,1,4,2,3,7]=>[1,5,2,6,4,3,7]=>[1,3,6,5,2,4,7]=>001100 [5,6,1,4,2,7,3]=>[5,6,1,4,7,2,3]=>[3,6,7,4,1,2,5]=>001100 [5,6,1,4,3,2,7]=>[5,6,1,4,3,2,7]=>[3,6,5,4,1,2,7]=>011100 [5,6,1,4,3,7,2]=>[5,6,1,4,3,7,2]=>[3,7,5,4,1,2,6]=>011100 [5,6,1,4,7,2,3]=>[1,5,2,6,4,7,3]=>[1,3,7,5,2,4,6]=>001100 [5,6,1,4,7,3,2]=>[5,6,1,4,7,3,2]=>[3,7,6,4,1,2,5]=>011100 [5,6,1,7,2,3,4]=>[1,2,5,6,7,3,4]=>[1,2,6,7,3,4,5]=>000100 [5,6,1,7,2,4,3]=>[5,1,6,7,4,2,3]=>[2,6,7,5,1,3,4]=>001100 [5,6,1,7,3,2,4]=>[3,5,6,7,1,2,4]=>[5,6,1,7,2,3,4]=>010100 [5,6,1,7,3,4,2]=>[5,1,6,7,3,4,2]=>[2,7,5,6,1,3,4]=>010100 [5,6,1,7,4,2,3]=>[1,5,6,7,4,2,3]=>[1,6,7,5,2,3,4]=>001100 [5,6,1,7,4,3,2]=>[5,6,7,4,3,1,2]=>[6,7,5,4,1,2,3]=>011100 [5,6,2,1,3,4,7]=>[2,1,5,6,3,4,7]=>[2,1,5,6,3,4,7]=>100100 [5,6,2,1,3,7,4]=>[5,2,6,7,1,3,4]=>[5,2,6,7,1,3,4]=>100100 [5,6,2,1,4,3,7]=>[5,2,6,4,1,3,7]=>[5,2,6,4,1,3,7]=>101100 [5,6,2,1,4,7,3]=>[5,2,6,4,1,7,3]=>[5,2,7,4,1,3,6]=>101100 [5,6,2,1,7,3,4]=>[2,5,6,7,1,3,4]=>[5,1,6,7,2,3,4]=>100100 [5,6,2,1,7,4,3]=>[5,6,7,4,2,1,3]=>[6,5,7,4,1,2,3]=>101100 [5,6,2,3,1,4,7]=>[2,3,5,6,1,4,7]=>[5,1,2,6,3,4,7]=>100100 [5,6,2,3,1,7,4]=>[5,2,6,7,3,1,4]=>[6,2,5,7,1,3,4]=>100100 [5,6,2,3,4,1,7]=>[2,3,5,6,4,1,7]=>[6,1,2,5,3,4,7]=>100100 [5,6,2,3,4,7,1]=>[2,3,5,6,4,7,1]=>[7,1,2,5,3,4,6]=>100100 [5,6,2,3,7,1,4]=>[2,3,5,6,1,7,4]=>[5,1,2,7,3,4,6]=>100100 [5,6,2,3,7,4,1]=>[5,2,6,7,3,4,1]=>[7,2,5,6,1,3,4]=>100100 [5,6,2,4,1,3,7]=>[2,1,5,6,4,3,7]=>[2,1,6,5,3,4,7]=>101100 [5,6,2,4,1,7,3]=>[5,2,6,4,7,1,3]=>[6,2,7,4,1,3,5]=>101100 [5,6,2,4,3,1,7]=>[5,2,6,4,3,1,7]=>[6,2,5,4,1,3,7]=>101100 [5,6,2,4,3,7,1]=>[5,2,6,4,3,7,1]=>[7,2,5,4,1,3,6]=>101100 [5,6,2,4,7,1,3]=>[2,1,5,6,4,7,3]=>[2,1,7,5,3,4,6]=>101100 [5,6,2,4,7,3,1]=>[5,2,6,4,7,3,1]=>[7,2,6,4,1,3,5]=>101100 [5,6,2,7,1,3,4]=>[2,1,5,6,3,7,4]=>[2,1,5,7,3,4,6]=>100100 [5,6,2,7,1,4,3]=>[5,2,6,7,1,4,3]=>[5,2,7,6,1,3,4]=>101100 [5,6,2,7,3,1,4]=>[2,5,6,7,3,1,4]=>[6,1,5,7,2,3,4]=>100100 [5,6,2,7,3,4,1]=>[2,5,6,7,3,4,1]=>[7,1,5,6,2,3,4]=>100100 [5,6,2,7,4,1,3]=>[2,5,6,7,1,4,3]=>[5,1,7,6,2,3,4]=>101100 [5,6,2,7,4,3,1]=>[5,6,7,4,2,3,1]=>[7,5,6,4,1,2,3]=>101100 [5,6,3,1,2,4,7]=>[1,3,5,6,2,4,7]=>[1,5,2,6,3,4,7]=>010100 [5,6,3,1,2,7,4]=>[5,1,6,7,3,2,4]=>[2,6,5,7,1,3,4]=>010100 [5,6,3,1,4,2,7]=>[3,5,6,4,1,2,7]=>[5,6,1,4,2,3,7]=>010100 [5,6,3,1,4,7,2]=>[3,5,6,4,1,7,2]=>[5,7,1,4,2,3,6]=>010100 [5,6,3,1,7,2,4]=>[3,5,6,1,7,2,4]=>[4,6,1,7,2,3,5]=>010100 [5,6,3,1,7,4,2]=>[5,6,7,3,4,1,2]=>[6,7,4,5,1,2,3]=>010100 [5,6,3,2,1,4,7]=>[3,5,6,2,1,4,7]=>[5,4,1,6,2,3,7]=>110100 [5,6,3,2,1,7,4]=>[5,6,7,3,2,1,4]=>[6,5,4,7,1,2,3]=>110100 [5,6,3,2,4,1,7]=>[3,5,6,2,4,1,7]=>[6,4,1,5,2,3,7]=>110100 [5,6,3,2,4,7,1]=>[3,5,6,2,4,7,1]=>[7,4,1,5,2,3,6]=>110100 [5,6,3,2,7,1,4]=>[3,5,6,2,1,7,4]=>[5,4,1,7,2,3,6]=>110100 [5,6,3,2,7,4,1]=>[5,6,7,3,2,4,1]=>[7,5,4,6,1,2,3]=>110100 [5,6,3,4,1,2,7]=>[1,3,5,6,4,2,7]=>[1,6,2,5,3,4,7]=>010100 [5,6,3,4,1,7,2]=>[3,5,6,4,7,1,2]=>[6,7,1,4,2,3,5]=>010100 [5,6,3,4,2,1,7]=>[3,5,6,4,2,1,7]=>[6,5,1,4,2,3,7]=>110100 [5,6,3,4,2,7,1]=>[3,5,6,4,2,7,1]=>[7,5,1,4,2,3,6]=>110100 [5,6,3,4,7,1,2]=>[1,3,5,6,4,7,2]=>[1,7,2,5,3,4,6]=>010100 [5,6,3,4,7,2,1]=>[3,5,6,4,7,2,1]=>[7,6,1,4,2,3,5]=>110100 [5,6,3,7,1,2,4]=>[1,3,5,6,2,7,4]=>[1,5,2,7,3,4,6]=>010100 [5,6,3,7,1,4,2]=>[3,5,6,7,1,4,2]=>[5,7,1,6,2,3,4]=>010100 [5,6,3,7,2,1,4]=>[3,5,6,2,7,1,4]=>[6,4,1,7,2,3,5]=>110100 [5,6,3,7,2,4,1]=>[3,5,6,2,7,4,1]=>[7,4,1,6,2,3,5]=>110100 [5,6,3,7,4,1,2]=>[1,5,6,7,3,4,2]=>[1,7,5,6,2,3,4]=>010100 [5,6,3,7,4,2,1]=>[5,6,7,3,4,2,1]=>[7,6,4,5,1,2,3]=>110100 [5,6,4,1,2,3,7]=>[1,2,5,6,4,3,7]=>[1,2,6,5,3,4,7]=>001100 [5,6,4,1,2,7,3]=>[5,1,6,4,7,2,3]=>[2,6,7,4,1,3,5]=>001100 [5,6,4,1,3,2,7]=>[5,1,6,4,3,2,7]=>[2,6,5,4,1,3,7]=>011100 [5,6,4,1,3,7,2]=>[5,1,6,4,3,7,2]=>[2,7,5,4,1,3,6]=>011100 [5,6,4,1,7,2,3]=>[1,5,6,4,7,2,3]=>[1,6,7,4,2,3,5]=>001100 [5,6,4,1,7,3,2]=>[5,6,4,7,3,1,2]=>[6,7,5,3,1,2,4]=>011100 [5,6,4,2,1,3,7]=>[2,5,6,4,1,3,7]=>[5,1,6,4,2,3,7]=>101100 [5,6,4,2,1,7,3]=>[5,6,4,7,2,1,3]=>[6,5,7,3,1,2,4]=>101100 [5,6,4,2,3,1,7]=>[2,5,6,4,3,1,7]=>[6,1,5,4,2,3,7]=>101100 [5,6,4,2,3,7,1]=>[2,5,6,4,3,7,1]=>[7,1,5,4,2,3,6]=>101100 [5,6,4,2,7,1,3]=>[2,5,6,4,1,7,3]=>[5,1,7,4,2,3,6]=>101100 [5,6,4,2,7,3,1]=>[5,6,4,7,2,3,1]=>[7,5,6,3,1,2,4]=>101100 [5,6,4,3,1,2,7]=>[1,5,6,4,3,2,7]=>[1,6,5,4,2,3,7]=>011100 [5,6,4,3,1,7,2]=>[5,6,4,3,7,1,2]=>[6,7,4,3,1,2,5]=>011100 [5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7]=>111100 [5,6,4,3,2,7,1]=>[5,6,4,3,2,7,1]=>[7,5,4,3,1,2,6]=>111100 [5,6,4,3,7,1,2]=>[1,5,6,4,3,7,2]=>[1,7,5,4,2,3,6]=>011100 [5,6,4,3,7,2,1]=>[5,6,4,3,7,2,1]=>[7,6,4,3,1,2,5]=>111100 [5,6,4,7,1,2,3]=>[1,2,5,6,4,7,3]=>[1,2,7,5,3,4,6]=>001100 [5,6,4,7,1,3,2]=>[5,1,6,4,7,3,2]=>[2,7,6,4,1,3,5]=>011100 [5,6,4,7,2,1,3]=>[2,5,6,4,7,1,3]=>[6,1,7,4,2,3,5]=>101100 [5,6,4,7,2,3,1]=>[2,5,6,4,7,3,1]=>[7,1,6,4,2,3,5]=>101100 [5,6,4,7,3,1,2]=>[1,5,6,4,7,3,2]=>[1,7,6,4,2,3,5]=>011100 [5,6,4,7,3,2,1]=>[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4]=>111100 [5,6,7,1,2,3,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,4,5,6]=>000100 [5,6,7,1,2,4,3]=>[5,1,2,6,7,4,3]=>[2,3,7,6,1,4,5]=>001100 [5,6,7,1,3,2,4]=>[1,5,3,6,7,2,4]=>[1,6,3,7,2,4,5]=>010100 [5,6,7,1,3,4,2]=>[3,1,5,6,7,4,2]=>[2,7,1,6,3,4,5]=>010100 [5,6,7,1,4,2,3]=>[1,5,2,6,7,4,3]=>[1,3,7,6,2,4,5]=>001100 [5,6,7,1,4,3,2]=>[5,6,1,7,4,3,2]=>[3,7,6,5,1,2,4]=>011100 [5,6,7,2,1,3,4]=>[2,1,5,6,7,3,4]=>[2,1,6,7,3,4,5]=>100100 [5,6,7,2,1,4,3]=>[5,2,6,7,4,1,3]=>[6,2,7,5,1,3,4]=>101100 [5,6,7,2,3,1,4]=>[2,3,5,6,7,1,4]=>[6,1,2,7,3,4,5]=>100100 [5,6,7,2,3,4,1]=>[2,3,5,6,7,4,1]=>[7,1,2,6,3,4,5]=>100100 [5,6,7,2,4,1,3]=>[2,1,5,6,7,4,3]=>[2,1,7,6,3,4,5]=>101100 [5,6,7,2,4,3,1]=>[5,2,6,7,4,3,1]=>[7,2,6,5,1,3,4]=>101100 [5,6,7,3,1,2,4]=>[1,3,5,6,7,2,4]=>[1,6,2,7,3,4,5]=>010100 [5,6,7,3,1,4,2]=>[3,5,6,7,4,1,2]=>[6,7,1,5,2,3,4]=>010100 [5,6,7,3,2,1,4]=>[3,5,6,7,2,1,4]=>[6,5,1,7,2,3,4]=>110100 [5,6,7,3,2,4,1]=>[3,5,6,7,2,4,1]=>[7,5,1,6,2,3,4]=>110100 [5,6,7,3,4,1,2]=>[1,3,5,6,7,4,2]=>[1,7,2,6,3,4,5]=>010100 [5,6,7,3,4,2,1]=>[3,5,6,7,4,2,1]=>[7,6,1,5,2,3,4]=>110100 [5,6,7,4,1,2,3]=>[1,2,5,6,7,4,3]=>[1,2,7,6,3,4,5]=>001100 [5,6,7,4,1,3,2]=>[5,1,6,7,4,3,2]=>[2,7,6,5,1,3,4]=>011100 [5,6,7,4,2,1,3]=>[2,5,6,7,4,1,3]=>[6,1,7,5,2,3,4]=>101100 [5,6,7,4,2,3,1]=>[2,5,6,7,4,3,1]=>[7,1,6,5,2,3,4]=>101100 [5,6,7,4,3,1,2]=>[1,5,6,7,4,3,2]=>[1,7,6,5,2,3,4]=>011100 [5,6,7,4,3,2,1]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]=>111100 [5,7,1,2,3,4,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>000101 [5,7,1,2,3,6,4]=>[5,1,2,7,3,6,4]=>[2,3,5,7,1,6,4]=>000101 [5,7,1,2,4,3,6]=>[5,1,2,4,7,3,6]=>[2,3,6,4,1,7,5]=>001101 [5,7,1,2,4,6,3]=>[5,1,2,4,7,6,3]=>[2,3,7,4,1,6,5]=>001101 [5,7,1,2,6,3,4]=>[1,5,2,7,3,6,4]=>[1,3,5,7,2,6,4]=>000101 [5,7,1,2,6,4,3]=>[5,7,1,6,2,4,3]=>[3,5,7,6,1,4,2]=>001101 [5,7,1,3,2,4,6]=>[1,5,3,2,7,4,6]=>[1,4,3,6,2,7,5]=>010101 [5,7,1,3,2,6,4]=>[5,7,1,3,6,2,4]=>[3,6,4,7,1,5,2]=>010101 [5,7,1,3,4,2,6]=>[3,1,5,4,7,2,6]=>[2,6,1,4,3,7,5]=>010101 [5,7,1,3,4,6,2]=>[3,1,5,4,7,6,2]=>[2,7,1,4,3,6,5]=>010101 [5,7,1,3,6,2,4]=>[1,5,3,2,7,6,4]=>[1,4,3,7,2,6,5]=>010101 [5,7,1,3,6,4,2]=>[5,7,1,3,6,4,2]=>[3,7,4,6,1,5,2]=>010101 [5,7,1,4,2,3,6]=>[1,5,2,4,7,3,6]=>[1,3,6,4,2,7,5]=>001101 [5,7,1,4,2,6,3]=>[5,4,1,7,6,2,3]=>[3,6,7,2,1,5,4]=>001101 [5,7,1,4,3,2,6]=>[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3]=>011101 [5,7,1,4,3,6,2]=>[5,4,1,7,3,6,2]=>[3,7,5,2,1,6,4]=>011101 [5,7,1,4,6,2,3]=>[1,5,2,4,7,6,3]=>[1,3,7,4,2,6,5]=>001101 [5,7,1,4,6,3,2]=>[5,4,1,7,6,3,2]=>[3,7,6,2,1,5,4]=>011101 [5,7,1,6,2,3,4]=>[1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>000101 [5,7,1,6,2,4,3]=>[5,1,7,6,2,4,3]=>[2,5,7,6,1,4,3]=>001101 [5,7,1,6,3,2,4]=>[1,5,7,6,3,2,4]=>[1,6,5,7,2,4,3]=>010101 [5,7,1,6,3,4,2]=>[5,1,7,3,6,4,2]=>[2,7,4,6,1,5,3]=>010101 [5,7,1,6,4,2,3]=>[1,5,7,6,2,4,3]=>[1,5,7,6,2,4,3]=>001101 [5,7,1,6,4,3,2]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>011101 [5,7,2,1,3,4,6]=>[2,1,5,3,7,4,6]=>[2,1,4,6,3,7,5]=>100101 [5,7,2,1,3,6,4]=>[5,2,7,1,6,3,4]=>[4,2,6,7,1,5,3]=>100101 [5,7,2,1,4,3,6]=>[5,2,4,7,1,3,6]=>[5,2,6,3,1,7,4]=>101101 [5,7,2,1,4,6,3]=>[5,2,7,1,4,6,3]=>[4,2,7,5,1,6,3]=>101101 [5,7,2,1,6,3,4]=>[2,5,7,1,6,3,4]=>[4,1,6,7,2,5,3]=>100101 [5,7,2,1,6,4,3]=>[5,7,6,2,4,1,3]=>[6,4,7,5,1,3,2]=>101101 [5,7,2,3,1,4,6]=>[2,3,5,1,7,4,6]=>[4,1,2,6,3,7,5]=>100101 [5,7,2,3,1,6,4]=>[5,2,7,3,6,1,4]=>[6,2,4,7,1,5,3]=>100101 [5,7,2,3,4,1,6]=>[2,3,5,4,7,1,6]=>[6,1,2,4,3,7,5]=>100101 [5,7,2,3,4,6,1]=>[2,3,5,4,7,6,1]=>[7,1,2,4,3,6,5]=>100101 [5,7,2,3,6,1,4]=>[2,3,5,1,7,6,4]=>[4,1,2,7,3,6,5]=>100101 [5,7,2,3,6,4,1]=>[5,2,7,3,6,4,1]=>[7,2,4,6,1,5,3]=>100101 [5,7,2,4,1,3,6]=>[2,1,5,4,7,3,6]=>[2,1,6,4,3,7,5]=>101101 [5,7,2,4,1,6,3]=>[5,2,4,7,6,1,3]=>[6,2,7,3,1,5,4]=>101101 [5,7,2,4,3,1,6]=>[5,2,4,7,3,1,6]=>[6,2,5,3,1,7,4]=>101101 [5,7,2,4,3,6,1]=>[5,2,4,7,3,6,1]=>[7,2,5,3,1,6,4]=>101101 [5,7,2,4,6,1,3]=>[2,1,5,4,7,6,3]=>[2,1,7,4,3,6,5]=>101101 [5,7,2,4,6,3,1]=>[5,2,4,7,6,3,1]=>[7,2,6,3,1,5,4]=>101101 [5,7,2,6,1,3,4]=>[2,1,5,3,7,6,4]=>[2,1,4,7,3,6,5]=>100101 [5,7,2,6,1,4,3]=>[5,2,7,1,6,4,3]=>[4,2,7,6,1,5,3]=>101101 [5,7,2,6,3,1,4]=>[2,5,7,3,6,1,4]=>[6,1,4,7,2,5,3]=>100101 [5,7,2,6,3,4,1]=>[2,5,7,3,6,4,1]=>[7,1,4,6,2,5,3]=>100101 [5,7,2,6,4,1,3]=>[2,5,7,1,6,4,3]=>[4,1,7,6,2,5,3]=>101101 [5,7,2,6,4,3,1]=>[5,7,6,2,4,3,1]=>[7,4,6,5,1,3,2]=>101101 [5,7,3,1,2,4,6]=>[1,3,5,2,7,4,6]=>[1,4,2,6,3,7,5]=>010101 [5,7,3,1,2,6,4]=>[5,1,7,3,6,2,4]=>[2,6,4,7,1,5,3]=>010101 [5,7,3,1,4,2,6]=>[3,5,4,7,1,2,6]=>[5,6,1,3,2,7,4]=>010101 [5,7,3,1,4,6,2]=>[3,5,7,1,4,6,2]=>[4,7,1,5,2,6,3]=>010101 [5,7,3,1,6,2,4]=>[3,5,1,7,6,2,4]=>[3,6,1,7,2,5,4]=>010101 [5,7,3,1,6,4,2]=>[5,7,3,6,4,1,2]=>[6,7,3,5,1,4,2]=>010101 [5,7,3,2,1,4,6]=>[3,5,2,7,1,4,6]=>[5,3,1,6,2,7,4]=>110101 [5,7,3,2,1,6,4]=>[5,7,3,6,2,1,4]=>[6,5,3,7,1,4,2]=>110101 [5,7,3,2,4,1,6]=>[3,5,2,7,4,1,6]=>[6,3,1,5,2,7,4]=>110101 [5,7,3,2,4,6,1]=>[3,5,2,7,4,6,1]=>[7,3,1,5,2,6,4]=>110101 [5,7,3,2,6,1,4]=>[3,5,2,7,1,6,4]=>[5,3,1,7,2,6,4]=>110101 [5,7,3,2,6,4,1]=>[5,7,3,6,2,4,1]=>[7,5,3,6,1,4,2]=>110101 [5,7,3,4,1,2,6]=>[1,3,5,4,7,2,6]=>[1,6,2,4,3,7,5]=>010101 [5,7,3,4,1,6,2]=>[3,5,4,7,6,1,2]=>[6,7,1,3,2,5,4]=>010101 [5,7,3,4,2,1,6]=>[3,5,4,7,2,1,6]=>[6,5,1,3,2,7,4]=>110101 [5,7,3,4,2,6,1]=>[3,5,4,7,2,6,1]=>[7,5,1,3,2,6,4]=>110101 [5,7,3,4,6,1,2]=>[1,3,5,4,7,6,2]=>[1,7,2,4,3,6,5]=>010101 [5,7,3,4,6,2,1]=>[3,5,4,7,6,2,1]=>[7,6,1,3,2,5,4]=>110101 [5,7,3,6,1,2,4]=>[1,3,5,2,7,6,4]=>[1,4,2,7,3,6,5]=>010101 [5,7,3,6,1,4,2]=>[3,5,7,1,6,4,2]=>[4,7,1,6,2,5,3]=>010101 [5,7,3,6,2,1,4]=>[3,5,2,7,6,1,4]=>[6,3,1,7,2,5,4]=>110101 [5,7,3,6,2,4,1]=>[3,5,2,7,6,4,1]=>[7,3,1,6,2,5,4]=>110101 [5,7,3,6,4,1,2]=>[1,5,7,3,6,4,2]=>[1,7,4,6,2,5,3]=>010101 [5,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[7,6,3,5,1,4,2]=>110101 [5,7,4,1,2,3,6]=>[1,2,5,4,7,3,6]=>[1,2,6,4,3,7,5]=>001101 [5,7,4,1,2,6,3]=>[5,1,4,7,6,2,3]=>[2,6,7,3,1,5,4]=>001101 [5,7,4,1,3,2,6]=>[5,1,4,7,3,2,6]=>[2,6,5,3,1,7,4]=>011101 [5,7,4,1,3,6,2]=>[5,1,4,7,3,6,2]=>[2,7,5,3,1,6,4]=>011101 [5,7,4,1,6,2,3]=>[1,5,4,7,6,2,3]=>[1,6,7,3,2,5,4]=>001101 [5,7,4,1,6,3,2]=>[5,4,7,6,3,1,2]=>[6,7,5,2,1,4,3]=>011101 [5,7,4,2,1,3,6]=>[2,5,4,7,1,3,6]=>[5,1,6,3,2,7,4]=>101101 [5,7,4,2,1,6,3]=>[5,4,7,6,2,1,3]=>[6,5,7,2,1,4,3]=>101101 [5,7,4,2,3,1,6]=>[2,5,4,7,3,1,6]=>[6,1,5,3,2,7,4]=>101101 [5,7,4,2,3,6,1]=>[2,5,4,7,3,6,1]=>[7,1,5,3,2,6,4]=>101101 [5,7,4,2,6,1,3]=>[2,5,4,7,1,6,3]=>[5,1,7,3,2,6,4]=>101101 [5,7,4,2,6,3,1]=>[5,4,7,6,2,3,1]=>[7,5,6,2,1,4,3]=>101101 [5,7,4,3,1,2,6]=>[1,5,4,7,3,2,6]=>[1,6,5,3,2,7,4]=>011101 [5,7,4,3,1,6,2]=>[5,4,7,3,6,1,2]=>[6,7,4,2,1,5,3]=>011101 [5,7,4,3,2,1,6]=>[5,4,7,3,2,1,6]=>[6,5,4,2,1,7,3]=>111101 [5,7,4,3,2,6,1]=>[5,4,7,3,2,6,1]=>[7,5,4,2,1,6,3]=>111101 [5,7,4,3,6,1,2]=>[1,5,4,7,3,6,2]=>[1,7,5,3,2,6,4]=>011101 [5,7,4,3,6,2,1]=>[5,4,7,3,6,2,1]=>[7,6,4,2,1,5,3]=>111101 [5,7,4,6,1,2,3]=>[1,2,5,4,7,6,3]=>[1,2,7,4,3,6,5]=>001101 [5,7,4,6,1,3,2]=>[5,1,4,7,6,3,2]=>[2,7,6,3,1,5,4]=>011101 [5,7,4,6,2,1,3]=>[2,5,4,7,6,1,3]=>[6,1,7,3,2,5,4]=>101101 [5,7,4,6,2,3,1]=>[2,5,4,7,6,3,1]=>[7,1,6,3,2,5,4]=>101101 [5,7,4,6,3,1,2]=>[1,5,4,7,6,3,2]=>[1,7,6,3,2,5,4]=>011101 [5,7,4,6,3,2,1]=>[5,4,7,6,3,2,1]=>[7,6,5,2,1,4,3]=>111101 [5,7,6,1,2,3,4]=>[1,2,3,7,5,6,4]=>[1,2,3,7,5,6,4]=>000101 [5,7,6,1,2,4,3]=>[7,1,2,5,6,4,3]=>[2,3,7,6,4,5,1]=>001101 [5,7,6,1,3,2,4]=>[1,7,3,5,6,2,4]=>[1,6,3,7,4,5,2]=>010101 [5,7,6,1,3,4,2]=>[3,1,7,5,6,4,2]=>[2,7,1,6,4,5,3]=>010101 [5,7,6,1,4,2,3]=>[1,7,2,5,6,4,3]=>[1,3,7,6,4,5,2]=>001101 [5,7,6,1,4,3,2]=>[7,5,1,6,4,3,2]=>[3,7,6,5,2,4,1]=>011101 [5,7,6,2,1,3,4]=>[2,1,7,5,6,3,4]=>[2,1,6,7,4,5,3]=>100101 [5,7,6,2,1,4,3]=>[7,2,5,6,4,1,3]=>[6,2,7,5,3,4,1]=>101101 [5,7,6,2,3,1,4]=>[2,3,7,5,6,1,4]=>[6,1,2,7,4,5,3]=>100101 [5,7,6,2,3,4,1]=>[2,3,7,5,6,4,1]=>[7,1,2,6,4,5,3]=>100101 [5,7,6,2,4,1,3]=>[2,1,7,5,6,4,3]=>[2,1,7,6,4,5,3]=>101101 [5,7,6,2,4,3,1]=>[7,2,5,6,4,3,1]=>[7,2,6,5,3,4,1]=>101101 [5,7,6,3,1,2,4]=>[1,3,7,5,6,2,4]=>[1,6,2,7,4,5,3]=>010101 [5,7,6,3,1,4,2]=>[3,7,5,6,4,1,2]=>[6,7,1,5,3,4,2]=>010101 [5,7,6,3,2,1,4]=>[3,7,5,6,2,1,4]=>[6,5,1,7,3,4,2]=>110101 [5,7,6,3,2,4,1]=>[3,7,5,6,2,4,1]=>[7,5,1,6,3,4,2]=>110101 [5,7,6,3,4,1,2]=>[1,3,7,5,6,4,2]=>[1,7,2,6,4,5,3]=>010101 [5,7,6,3,4,2,1]=>[3,7,5,6,4,2,1]=>[7,6,1,5,3,4,2]=>110101 [5,7,6,4,1,2,3]=>[1,2,7,5,6,4,3]=>[1,2,7,6,4,5,3]=>001101 [5,7,6,4,1,3,2]=>[7,1,5,6,4,3,2]=>[2,7,6,5,3,4,1]=>011101 [5,7,6,4,2,1,3]=>[2,7,5,6,4,1,3]=>[6,1,7,5,3,4,2]=>101101 [5,7,6,4,2,3,1]=>[2,7,5,6,4,3,1]=>[7,1,6,5,3,4,2]=>101101 [5,7,6,4,3,1,2]=>[1,7,5,6,4,3,2]=>[1,7,6,5,3,4,2]=>011101 [5,7,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[7,6,5,4,2,3,1]=>111101 [6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>000010 [6,1,2,3,4,7,5]=>[6,1,2,3,7,4,5]=>[2,3,4,6,7,1,5]=>000010 [6,1,2,3,5,4,7]=>[6,1,2,3,5,4,7]=>[2,3,4,6,5,1,7]=>000110 [6,1,2,3,5,7,4]=>[6,1,2,3,5,7,4]=>[2,3,4,7,5,1,6]=>000110 [6,1,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>[1,3,4,6,7,2,5]=>000010 [6,1,2,3,7,5,4]=>[6,7,1,2,5,3,4]=>[3,4,6,7,5,1,2]=>000110 [6,1,2,4,3,5,7]=>[1,6,2,4,3,5,7]=>[1,3,5,4,6,2,7]=>001010 [6,1,2,4,3,7,5]=>[6,7,1,2,4,3,5]=>[3,4,6,5,7,1,2]=>001010 [6,1,2,4,5,3,7]=>[4,1,2,6,5,3,7]=>[2,3,6,1,5,4,7]=>001010 [6,1,2,4,5,7,3]=>[4,1,2,6,5,7,3]=>[2,3,7,1,5,4,6]=>001010 [6,1,2,4,7,3,5]=>[1,6,2,4,3,7,5]=>[1,3,5,4,7,2,6]=>001010 [6,1,2,4,7,5,3]=>[6,7,1,2,4,5,3]=>[3,4,7,5,6,1,2]=>001010 [6,1,2,5,3,4,7]=>[1,6,2,3,5,4,7]=>[1,3,4,6,5,2,7]=>000110 [6,1,2,5,3,7,4]=>[6,5,1,2,7,3,4]=>[3,4,6,7,2,1,5]=>000110 [6,1,2,5,4,3,7]=>[6,5,1,2,4,3,7]=>[3,4,6,5,2,1,7]=>001110 [6,1,2,5,4,7,3]=>[6,5,1,2,4,7,3]=>[3,4,7,5,2,1,6]=>001110 [6,1,2,5,7,3,4]=>[1,6,2,3,5,7,4]=>[1,3,4,7,5,2,6]=>000110 [6,1,2,5,7,4,3]=>[6,5,1,2,7,4,3]=>[3,4,7,6,2,1,5]=>001110 [6,1,2,7,3,4,5]=>[1,2,6,3,7,4,5]=>[1,2,4,6,7,3,5]=>000010 [6,1,2,7,3,5,4]=>[6,1,7,2,5,3,4]=>[2,4,6,7,5,1,3]=>000110 [6,1,2,7,4,3,5]=>[1,6,7,4,2,3,5]=>[1,5,6,4,7,2,3]=>001010 [6,1,2,7,4,5,3]=>[6,1,7,2,4,5,3]=>[2,4,7,5,6,1,3]=>001010 [6,1,2,7,5,3,4]=>[1,6,7,2,5,3,4]=>[1,4,6,7,5,2,3]=>000110 [6,1,2,7,5,4,3]=>[6,7,5,1,4,2,3]=>[4,6,7,5,3,1,2]=>001110 [6,1,3,2,4,5,7]=>[1,3,6,2,4,5,7]=>[1,4,2,5,6,3,7]=>010010 [6,1,3,2,4,7,5]=>[6,1,7,3,2,4,5]=>[2,5,4,6,7,1,3]=>010010 [6,1,3,2,5,4,7]=>[6,1,5,3,2,4,7]=>[2,5,4,6,3,1,7]=>010110 [6,1,3,2,5,7,4]=>[6,1,5,3,2,7,4]=>[2,5,4,7,3,1,6]=>010110 [6,1,3,2,7,4,5]=>[1,6,7,3,2,4,5]=>[1,5,4,6,7,2,3]=>010010 [6,1,3,2,7,5,4]=>[6,7,5,1,3,2,4]=>[4,6,5,7,3,1,2]=>010110 [6,1,3,4,2,5,7]=>[3,1,4,6,2,5,7]=>[2,5,1,3,6,4,7]=>010010 [6,1,3,4,2,7,5]=>[6,3,1,7,4,2,5]=>[3,6,2,5,7,1,4]=>010010 [6,1,3,4,5,2,7]=>[3,1,4,6,5,2,7]=>[2,6,1,3,5,4,7]=>010010 [6,1,3,4,5,7,2]=>[3,1,4,6,5,7,2]=>[2,7,1,3,5,4,6]=>010010 [6,1,3,4,7,2,5]=>[3,1,4,6,2,7,5]=>[2,5,1,3,7,4,6]=>010010 [6,1,3,4,7,5,2]=>[6,3,1,7,4,5,2]=>[3,7,2,5,6,1,4]=>010010 [6,1,3,5,2,4,7]=>[3,1,2,6,5,4,7]=>[2,3,1,6,5,4,7]=>010110 [6,1,3,5,2,7,4]=>[6,3,1,5,7,2,4]=>[3,6,2,7,4,1,5]=>010110 [6,1,3,5,4,2,7]=>[6,3,1,5,4,2,7]=>[3,6,2,5,4,1,7]=>010110 [6,1,3,5,4,7,2]=>[6,3,1,5,4,7,2]=>[3,7,2,5,4,1,6]=>010110 [6,1,3,5,7,2,4]=>[3,1,2,6,5,7,4]=>[2,3,1,7,5,4,6]=>010110 [6,1,3,5,7,4,2]=>[6,3,1,5,7,4,2]=>[3,7,2,6,4,1,5]=>010110 [6,1,3,7,2,4,5]=>[1,3,6,2,4,7,5]=>[1,4,2,5,7,3,6]=>010010 [6,1,3,7,2,5,4]=>[6,1,7,3,2,5,4]=>[2,5,4,7,6,1,3]=>010110 [6,1,3,7,4,2,5]=>[1,6,7,3,4,2,5]=>[1,6,4,5,7,2,3]=>010010 [6,1,3,7,4,5,2]=>[6,1,3,7,4,5,2]=>[2,7,3,5,6,1,4]=>010010 [6,1,3,7,5,2,4]=>[1,6,7,3,2,5,4]=>[1,5,4,7,6,2,3]=>010110 [6,1,3,7,5,4,2]=>[6,7,5,1,3,4,2]=>[4,7,5,6,3,1,2]=>010110 [6,1,4,2,3,5,7]=>[1,2,6,4,3,5,7]=>[1,2,5,4,6,3,7]=>001010 [6,1,4,2,3,7,5]=>[6,1,7,2,4,3,5]=>[2,4,6,5,7,1,3]=>001010 [6,1,4,2,5,3,7]=>[6,1,4,5,2,3,7]=>[2,5,6,3,4,1,7]=>001010 [6,1,4,2,5,7,3]=>[6,1,4,5,2,7,3]=>[2,5,7,3,4,1,6]=>001010 [6,1,4,2,7,3,5]=>[4,6,1,2,7,3,5]=>[3,4,6,1,7,2,5]=>001010 [6,1,4,2,7,5,3]=>[6,7,4,1,5,2,3]=>[4,6,7,3,5,1,2]=>001010 [6,1,4,3,2,5,7]=>[4,6,1,3,2,5,7]=>[3,5,4,1,6,2,7]=>011010 [6,1,4,3,2,7,5]=>[6,7,4,1,3,2,5]=>[4,6,5,3,7,1,2]=>011010 [6,1,4,3,5,2,7]=>[6,1,4,3,5,2,7]=>[2,6,4,3,5,1,7]=>011010 [6,1,4,3,5,7,2]=>[6,1,4,3,5,7,2]=>[2,7,4,3,5,1,6]=>011010 [6,1,4,3,7,2,5]=>[4,6,1,3,2,7,5]=>[3,5,4,1,7,2,6]=>011010 [6,1,4,3,7,5,2]=>[6,7,4,1,3,5,2]=>[4,7,5,3,6,1,2]=>011010 [6,1,4,5,2,3,7]=>[1,4,2,6,5,3,7]=>[1,3,6,2,5,4,7]=>001010 [6,1,4,5,2,7,3]=>[4,6,1,5,7,2,3]=>[3,6,7,1,4,2,5]=>001010 [6,1,4,5,3,2,7]=>[4,6,1,5,3,2,7]=>[3,6,5,1,4,2,7]=>011010 [6,1,4,5,3,7,2]=>[4,6,1,5,3,7,2]=>[3,7,5,1,4,2,6]=>011010 [6,1,4,5,7,2,3]=>[1,4,2,6,5,7,3]=>[1,3,7,2,5,4,6]=>001010 [6,1,4,5,7,3,2]=>[4,6,1,5,7,3,2]=>[3,7,6,1,4,2,5]=>011010 [6,1,4,7,2,3,5]=>[1,2,6,4,3,7,5]=>[1,2,5,4,7,3,6]=>001010 [6,1,4,7,2,5,3]=>[6,1,4,7,2,5,3]=>[2,5,7,3,6,1,4]=>001010 [6,1,4,7,3,2,5]=>[4,6,1,3,7,2,5]=>[3,6,4,1,7,2,5]=>011010 [6,1,4,7,3,5,2]=>[6,1,4,3,7,5,2]=>[2,7,4,3,6,1,5]=>011010 [6,1,4,7,5,2,3]=>[1,6,7,2,4,5,3]=>[1,4,7,5,6,2,3]=>001010 [6,1,4,7,5,3,2]=>[6,7,4,1,5,3,2]=>[4,7,6,3,5,1,2]=>011010 [6,1,5,2,3,4,7]=>[1,2,6,3,5,4,7]=>[1,2,4,6,5,3,7]=>000110 [6,1,5,2,3,7,4]=>[6,1,5,2,7,3,4]=>[2,4,6,7,3,1,5]=>000110 [6,1,5,2,4,3,7]=>[6,1,5,2,4,3,7]=>[2,4,6,5,3,1,7]=>001110 [6,1,5,2,4,7,3]=>[6,1,5,2,4,7,3]=>[2,4,7,5,3,1,6]=>001110 [6,1,5,2,7,3,4]=>[1,6,5,2,7,3,4]=>[1,4,6,7,3,2,5]=>000110 [6,1,5,2,7,4,3]=>[6,5,7,1,4,2,3]=>[4,6,7,5,2,1,3]=>001110 [6,1,5,3,2,4,7]=>[1,6,5,3,2,4,7]=>[1,5,4,6,3,2,7]=>010110 [6,1,5,3,2,7,4]=>[6,5,7,1,3,2,4]=>[4,6,5,7,2,1,3]=>010110 [6,1,5,3,4,2,7]=>[6,1,3,5,4,2,7]=>[2,6,3,5,4,1,7]=>010110 [6,1,5,3,4,7,2]=>[6,1,3,5,4,7,2]=>[2,7,3,5,4,1,6]=>010110 [6,1,5,3,7,2,4]=>[1,6,5,3,2,7,4]=>[1,5,4,7,3,2,6]=>010110 [6,1,5,3,7,4,2]=>[6,5,7,1,3,4,2]=>[4,7,5,6,2,1,3]=>010110 [6,1,5,4,2,3,7]=>[1,6,5,2,4,3,7]=>[1,4,6,5,3,2,7]=>001110 [6,1,5,4,2,7,3]=>[6,5,4,1,7,2,3]=>[4,6,7,3,2,1,5]=>001110 [6,1,5,4,3,2,7]=>[6,5,4,1,3,2,7]=>[4,6,5,3,2,1,7]=>011110 [6,1,5,4,3,7,2]=>[6,5,4,1,3,7,2]=>[4,7,5,3,2,1,6]=>011110 [6,1,5,4,7,2,3]=>[1,6,5,2,4,7,3]=>[1,4,7,5,3,2,6]=>001110 [6,1,5,4,7,3,2]=>[6,5,4,1,7,3,2]=>[4,7,6,3,2,1,5]=>011110 [6,1,5,7,2,3,4]=>[1,2,6,3,5,7,4]=>[1,2,4,7,5,3,6]=>000110 [6,1,5,7,2,4,3]=>[6,1,5,2,7,4,3]=>[2,4,7,6,3,1,5]=>001110 [6,1,5,7,3,2,4]=>[1,6,5,3,7,2,4]=>[1,6,4,7,3,2,5]=>010110 [6,1,5,7,3,4,2]=>[6,1,3,5,7,4,2]=>[2,7,3,6,4,1,5]=>010110 [6,1,5,7,4,2,3]=>[1,6,5,2,7,4,3]=>[1,4,7,6,3,2,5]=>001110 [6,1,5,7,4,3,2]=>[6,5,7,1,4,3,2]=>[4,7,6,5,2,1,3]=>011110 [6,1,7,2,3,4,5]=>[1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5]=>000010 [6,1,7,2,3,5,4]=>[6,1,2,7,5,3,4]=>[2,3,6,7,5,1,4]=>000110 [6,1,7,2,4,3,5]=>[1,6,4,7,2,3,5]=>[1,5,6,3,7,2,4]=>001010 [6,1,7,2,4,5,3]=>[6,1,2,7,4,5,3]=>[2,3,7,5,6,1,4]=>001010 [6,1,7,2,5,3,4]=>[1,6,2,7,5,3,4]=>[1,3,6,7,5,2,4]=>000110 [6,1,7,2,5,4,3]=>[6,7,1,5,4,2,3]=>[3,6,7,5,4,1,2]=>001110 [6,1,7,3,2,4,5]=>[3,1,6,7,2,4,5]=>[2,5,1,6,7,3,4]=>010010 [6,1,7,3,2,5,4]=>[6,3,7,5,1,2,4]=>[5,6,2,7,4,1,3]=>010110 [6,1,7,3,4,2,5]=>[1,6,3,7,4,2,5]=>[1,6,3,5,7,2,4]=>010010 [6,1,7,3,4,5,2]=>[3,1,6,7,4,5,2]=>[2,7,1,5,6,3,4]=>010010 [6,1,7,3,5,2,4]=>[1,6,3,7,2,5,4]=>[1,5,3,7,6,2,4]=>010110 [6,1,7,3,5,4,2]=>[6,7,1,5,3,4,2]=>[3,7,5,6,4,1,2]=>010110 [6,1,7,4,2,3,5]=>[1,4,6,7,2,3,5]=>[1,5,6,2,7,3,4]=>001010 [6,1,7,4,2,5,3]=>[4,6,7,5,1,2,3]=>[5,6,7,1,4,2,3]=>001010 [6,1,7,4,3,2,5]=>[4,6,7,3,1,2,5]=>[5,6,4,1,7,2,3]=>011010 [6,1,7,4,3,5,2]=>[4,6,7,3,1,5,2]=>[5,7,4,1,6,2,3]=>011010 [6,1,7,4,5,2,3]=>[1,6,2,7,4,5,3]=>[1,3,7,5,6,2,4]=>001010 [6,1,7,4,5,3,2]=>[6,7,1,4,5,3,2]=>[3,7,6,4,5,1,2]=>011010 [6,1,7,5,2,3,4]=>[1,2,6,7,5,3,4]=>[1,2,6,7,5,3,4]=>000110 [6,1,7,5,2,4,3]=>[6,1,7,5,4,2,3]=>[2,6,7,5,4,1,3]=>001110 [6,1,7,5,3,2,4]=>[3,6,7,5,1,2,4]=>[5,6,1,7,4,2,3]=>010110 [6,1,7,5,3,4,2]=>[6,1,7,5,3,4,2]=>[2,7,5,6,4,1,3]=>010110 [6,1,7,5,4,2,3]=>[1,6,7,5,4,2,3]=>[1,6,7,5,4,2,3]=>001110 [6,1,7,5,4,3,2]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>011110 [6,2,1,3,4,5,7]=>[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7]=>100010 [6,2,1,3,4,7,5]=>[6,2,1,7,3,4,5]=>[3,2,5,6,7,1,4]=>100010 [6,2,1,3,5,4,7]=>[6,2,1,5,3,4,7]=>[3,2,5,6,4,1,7]=>100110 [6,2,1,3,5,7,4]=>[6,2,1,5,3,7,4]=>[3,2,5,7,4,1,6]=>100110 [6,2,1,3,7,4,5]=>[2,6,1,7,3,4,5]=>[3,1,5,6,7,2,4]=>100010 [6,2,1,3,7,5,4]=>[6,7,2,5,1,3,4]=>[5,3,6,7,4,1,2]=>100110 [6,2,1,4,3,5,7]=>[2,6,4,1,3,5,7]=>[4,1,5,3,6,2,7]=>101010 [6,2,1,4,3,7,5]=>[6,7,2,4,1,3,5]=>[5,3,6,4,7,1,2]=>101010 [6,2,1,4,5,3,7]=>[6,2,1,4,5,3,7]=>[3,2,6,4,5,1,7]=>101010 [6,2,1,4,5,7,3]=>[6,2,1,4,5,7,3]=>[3,2,7,4,5,1,6]=>101010 [6,2,1,4,7,3,5]=>[2,6,4,1,3,7,5]=>[4,1,5,3,7,2,6]=>101010 [6,2,1,4,7,5,3]=>[6,7,2,4,1,5,3]=>[5,3,7,4,6,1,2]=>101010 [6,2,1,5,3,4,7]=>[2,6,1,5,3,4,7]=>[3,1,5,6,4,2,7]=>100110 [6,2,1,5,3,7,4]=>[6,5,2,7,1,3,4]=>[5,3,6,7,2,1,4]=>100110 [6,2,1,5,4,3,7]=>[6,5,2,4,1,3,7]=>[5,3,6,4,2,1,7]=>101110 [6,2,1,5,4,7,3]=>[6,5,2,4,1,7,3]=>[5,3,7,4,2,1,6]=>101110 [6,2,1,5,7,3,4]=>[2,6,1,5,3,7,4]=>[3,1,5,7,4,2,6]=>100110 [6,2,1,5,7,4,3]=>[6,5,2,7,1,4,3]=>[5,3,7,6,2,1,4]=>101110 [6,2,1,7,3,4,5]=>[2,1,6,7,3,4,5]=>[2,1,5,6,7,3,4]=>100010 [6,2,1,7,3,5,4]=>[6,2,7,5,1,3,4]=>[5,2,6,7,4,1,3]=>100110 [6,2,1,7,4,3,5]=>[4,6,7,2,1,3,5]=>[5,4,6,1,7,2,3]=>101010 [6,2,1,7,4,5,3]=>[6,2,7,4,1,5,3]=>[5,2,7,4,6,1,3]=>101010 [6,2,1,7,5,3,4]=>[2,6,7,5,1,3,4]=>[5,1,6,7,4,2,3]=>100110 [6,2,1,7,5,4,3]=>[6,7,5,4,2,1,3]=>[6,5,7,4,3,1,2]=>101110 [6,2,3,1,4,5,7]=>[2,3,1,6,4,5,7]=>[3,1,2,5,6,4,7]=>100010 [6,2,3,1,4,7,5]=>[6,2,3,7,1,4,5]=>[5,2,3,6,7,1,4]=>100010 [6,2,3,1,5,4,7]=>[6,2,3,5,1,4,7]=>[5,2,3,6,4,1,7]=>100110 [6,2,3,1,5,7,4]=>[6,2,3,5,1,7,4]=>[5,2,3,7,4,1,6]=>100110 [6,2,3,1,7,4,5]=>[2,6,3,7,1,4,5]=>[5,1,3,6,7,2,4]=>100010 [6,2,3,1,7,5,4]=>[6,7,2,5,3,1,4]=>[6,3,5,7,4,1,2]=>100110 [6,2,3,4,1,5,7]=>[2,3,4,6,1,5,7]=>[5,1,2,3,6,4,7]=>100010 [6,2,3,4,1,7,5]=>[6,2,3,7,4,1,5]=>[6,2,3,5,7,1,4]=>100010 [6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]=>[6,1,2,3,5,4,7]=>100010 [6,2,3,4,5,7,1]=>[2,3,4,6,5,7,1]=>[7,1,2,3,5,4,6]=>100010 [6,2,3,4,7,1,5]=>[2,3,4,6,1,7,5]=>[5,1,2,3,7,4,6]=>100010 [6,2,3,4,7,5,1]=>[6,2,3,7,4,5,1]=>[7,2,3,5,6,1,4]=>100010 [6,2,3,5,1,4,7]=>[2,3,1,6,5,4,7]=>[3,1,2,6,5,4,7]=>100110 [6,2,3,5,1,7,4]=>[6,2,3,5,7,1,4]=>[6,2,3,7,4,1,5]=>100110 [6,2,3,5,4,1,7]=>[6,2,3,5,4,1,7]=>[6,2,3,5,4,1,7]=>100110 [6,2,3,5,4,7,1]=>[6,2,3,5,4,7,1]=>[7,2,3,5,4,1,6]=>100110 [6,2,3,5,7,1,4]=>[2,3,1,6,5,7,4]=>[3,1,2,7,5,4,6]=>100110 [6,2,3,5,7,4,1]=>[6,2,3,5,7,4,1]=>[7,2,3,6,4,1,5]=>100110 [6,2,3,7,1,4,5]=>[2,3,1,6,4,7,5]=>[3,1,2,5,7,4,6]=>100010 [6,2,3,7,1,5,4]=>[6,2,3,7,1,5,4]=>[5,2,3,7,6,1,4]=>100110 [6,2,3,7,4,1,5]=>[2,6,3,7,4,1,5]=>[6,1,3,5,7,2,4]=>100010 [6,2,3,7,4,5,1]=>[2,6,3,7,4,5,1]=>[7,1,3,5,6,2,4]=>100010 [6,2,3,7,5,1,4]=>[2,6,3,7,1,5,4]=>[5,1,3,7,6,2,4]=>100110 [6,2,3,7,5,4,1]=>[6,7,2,5,3,4,1]=>[7,3,5,6,4,1,2]=>100110 [6,2,4,1,3,5,7]=>[2,1,4,6,3,5,7]=>[2,1,5,3,6,4,7]=>101010 [6,2,4,1,3,7,5]=>[6,2,1,7,4,3,5]=>[3,2,6,5,7,1,4]=>101010 [6,2,4,1,5,3,7]=>[4,2,6,5,1,3,7]=>[5,2,6,1,4,3,7]=>101010 [6,2,4,1,5,7,3]=>[4,2,6,5,1,7,3]=>[5,2,7,1,4,3,6]=>101010 [6,2,4,1,7,3,5]=>[2,6,4,1,7,3,5]=>[4,1,6,3,7,2,5]=>101010 [6,2,4,1,7,5,3]=>[6,7,2,4,5,1,3]=>[6,3,7,4,5,1,2]=>101010 [6,2,4,3,1,5,7]=>[2,6,4,3,1,5,7]=>[5,1,4,3,6,2,7]=>101010 [6,2,4,3,1,7,5]=>[6,7,2,4,3,1,5]=>[6,3,5,4,7,1,2]=>101010 [6,2,4,3,5,1,7]=>[2,6,4,3,5,1,7]=>[6,1,4,3,5,2,7]=>101010 [6,2,4,3,5,7,1]=>[2,6,4,3,5,7,1]=>[7,1,4,3,5,2,6]=>101010 [6,2,4,3,7,1,5]=>[2,6,4,3,1,7,5]=>[5,1,4,3,7,2,6]=>101010 [6,2,4,3,7,5,1]=>[6,7,2,4,3,5,1]=>[7,3,5,4,6,1,2]=>101010 [6,2,4,5,1,3,7]=>[2,1,4,6,5,3,7]=>[2,1,6,3,5,4,7]=>101010 [6,2,4,5,1,7,3]=>[4,2,6,5,7,1,3]=>[6,2,7,1,4,3,5]=>101010 [6,2,4,5,3,1,7]=>[4,2,6,5,3,1,7]=>[6,2,5,1,4,3,7]=>101010 [6,2,4,5,3,7,1]=>[4,2,6,5,3,7,1]=>[7,2,5,1,4,3,6]=>101010 [6,2,4,5,7,1,3]=>[2,1,4,6,5,7,3]=>[2,1,7,3,5,4,6]=>101010 [6,2,4,5,7,3,1]=>[4,2,6,5,7,3,1]=>[7,2,6,1,4,3,5]=>101010 [6,2,4,7,1,3,5]=>[2,1,4,6,3,7,5]=>[2,1,5,3,7,4,6]=>101010 [6,2,4,7,1,5,3]=>[4,2,6,7,1,5,3]=>[5,2,7,1,6,3,4]=>101010 [6,2,4,7,3,1,5]=>[2,6,4,3,7,1,5]=>[6,1,4,3,7,2,5]=>101010 [6,2,4,7,3,5,1]=>[2,6,4,3,7,5,1]=>[7,1,4,3,6,2,5]=>101010 [6,2,4,7,5,1,3]=>[2,6,1,7,4,5,3]=>[3,1,7,5,6,2,4]=>101010 [6,2,4,7,5,3,1]=>[6,7,2,4,5,3,1]=>[7,3,6,4,5,1,2]=>101010 [6,2,5,1,3,4,7]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>100110 [6,2,5,1,3,7,4]=>[6,2,1,5,7,3,4]=>[3,2,6,7,4,1,5]=>100110 [6,2,5,1,4,3,7]=>[6,2,1,5,4,3,7]=>[3,2,6,5,4,1,7]=>101110 [6,2,5,1,4,7,3]=>[6,2,1,5,4,7,3]=>[3,2,7,5,4,1,6]=>101110 [6,2,5,1,7,3,4]=>[2,6,1,5,7,3,4]=>[3,1,6,7,4,2,5]=>100110 [6,2,5,1,7,4,3]=>[6,5,2,7,4,1,3]=>[6,3,7,5,2,1,4]=>101110 [6,2,5,3,1,4,7]=>[2,6,3,5,1,4,7]=>[5,1,3,6,4,2,7]=>100110 [6,2,5,3,1,7,4]=>[6,5,2,7,3,1,4]=>[6,3,5,7,2,1,4]=>100110 [6,2,5,3,4,1,7]=>[2,6,3,5,4,1,7]=>[6,1,3,5,4,2,7]=>100110 [6,2,5,3,4,7,1]=>[2,6,3,5,4,7,1]=>[7,1,3,5,4,2,6]=>100110 [6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>[5,1,3,7,4,2,6]=>100110 [6,2,5,3,7,4,1]=>[6,5,2,7,3,4,1]=>[7,3,5,6,2,1,4]=>100110 [6,2,5,4,1,3,7]=>[2,6,1,5,4,3,7]=>[3,1,6,5,4,2,7]=>101110 [6,2,5,4,1,7,3]=>[6,5,2,4,7,1,3]=>[6,3,7,4,2,1,5]=>101110 [6,2,5,4,3,1,7]=>[6,5,2,4,3,1,7]=>[6,3,5,4,2,1,7]=>101110 [6,2,5,4,3,7,1]=>[6,5,2,4,3,7,1]=>[7,3,5,4,2,1,6]=>101110 [6,2,5,4,7,1,3]=>[2,6,1,5,4,7,3]=>[3,1,7,5,4,2,6]=>101110 [6,2,5,4,7,3,1]=>[6,5,2,4,7,3,1]=>[7,3,6,4,2,1,5]=>101110 [6,2,5,7,1,3,4]=>[2,1,3,6,5,7,4]=>[2,1,3,7,5,4,6]=>100110 [6,2,5,7,1,4,3]=>[6,2,1,5,7,4,3]=>[3,2,7,6,4,1,5]=>101110 [6,2,5,7,3,1,4]=>[2,6,3,5,7,1,4]=>[6,1,3,7,4,2,5]=>100110 [6,2,5,7,3,4,1]=>[2,6,3,5,7,4,1]=>[7,1,3,6,4,2,5]=>100110 [6,2,5,7,4,1,3]=>[2,6,1,5,7,4,3]=>[3,1,7,6,4,2,5]=>101110 [6,2,5,7,4,3,1]=>[6,5,2,7,4,3,1]=>[7,3,6,5,2,1,4]=>101110 [6,2,7,1,3,4,5]=>[2,1,3,6,4,7,5]=>[2,1,3,5,7,4,6]=>100010 [6,2,7,1,3,5,4]=>[6,2,1,7,3,5,4]=>[3,2,5,7,6,1,4]=>100110 [6,2,7,1,4,3,5]=>[2,6,1,7,4,3,5]=>[3,1,6,5,7,2,4]=>101010 [6,2,7,1,4,5,3]=>[6,2,1,4,7,5,3]=>[3,2,7,4,6,1,5]=>101010 [6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>[3,1,5,7,6,2,4]=>100110 [6,2,7,1,5,4,3]=>[6,7,2,5,1,4,3]=>[5,3,7,6,4,1,2]=>101110 [6,2,7,3,1,4,5]=>[2,3,6,7,1,4,5]=>[5,1,2,6,7,3,4]=>100010 [6,2,7,3,1,5,4]=>[6,2,7,5,3,1,4]=>[6,2,5,7,4,1,3]=>100110 [6,2,7,3,4,1,5]=>[2,3,6,7,4,1,5]=>[6,1,2,5,7,3,4]=>100010 [6,2,7,3,4,5,1]=>[2,3,6,7,4,5,1]=>[7,1,2,5,6,3,4]=>100010 [6,2,7,3,5,1,4]=>[2,3,6,7,1,5,4]=>[5,1,2,7,6,3,4]=>100110 [6,2,7,3,5,4,1]=>[6,2,7,5,3,4,1]=>[7,2,5,6,4,1,3]=>100110 [6,2,7,4,1,3,5]=>[2,1,6,7,4,3,5]=>[2,1,6,5,7,3,4]=>101010 [6,2,7,4,1,5,3]=>[6,2,7,4,5,1,3]=>[6,2,7,4,5,1,3]=>101010 [6,2,7,4,3,1,5]=>[4,6,7,2,3,1,5]=>[6,4,5,1,7,2,3]=>101010 [6,2,7,4,3,5,1]=>[4,6,7,2,3,5,1]=>[7,4,5,1,6,2,3]=>101010 [6,2,7,4,5,1,3]=>[2,1,6,7,4,5,3]=>[2,1,7,5,6,3,4]=>101010 [6,2,7,4,5,3,1]=>[6,2,7,4,5,3,1]=>[7,2,6,4,5,1,3]=>101010 [6,2,7,5,1,3,4]=>[2,1,6,7,3,5,4]=>[2,1,5,7,6,3,4]=>100110 [6,2,7,5,1,4,3]=>[6,2,7,5,1,4,3]=>[5,2,7,6,4,1,3]=>101110 [6,2,7,5,3,1,4]=>[2,6,7,5,3,1,4]=>[6,1,5,7,4,2,3]=>100110 [6,2,7,5,3,4,1]=>[2,6,7,5,3,4,1]=>[7,1,5,6,4,2,3]=>100110 [6,2,7,5,4,1,3]=>[2,6,7,5,1,4,3]=>[5,1,7,6,4,2,3]=>101110 [6,2,7,5,4,3,1]=>[6,7,5,4,2,3,1]=>[7,5,6,4,3,1,2]=>101110 [6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]=>010010 [6,3,1,2,4,7,5]=>[6,1,3,7,2,4,5]=>[2,5,3,6,7,1,4]=>010010 [6,3,1,2,5,4,7]=>[6,1,3,5,2,4,7]=>[2,5,3,6,4,1,7]=>010110 [6,3,1,2,5,7,4]=>[6,1,3,5,2,7,4]=>[2,5,3,7,4,1,6]=>010110 [6,3,1,2,7,4,5]=>[1,6,3,7,2,4,5]=>[1,5,3,6,7,2,4]=>010010 [6,3,1,2,7,5,4]=>[6,7,1,5,3,2,4]=>[3,6,5,7,4,1,2]=>010110 [6,3,1,4,2,5,7]=>[3,4,6,1,2,5,7]=>[4,5,1,2,6,3,7]=>010010 [6,3,1,4,2,7,5]=>[6,3,7,4,1,2,5]=>[5,6,2,4,7,1,3]=>010010 [6,3,1,4,5,2,7]=>[3,6,1,4,5,2,7]=>[3,6,1,4,5,2,7]=>010010 [6,3,1,4,5,7,2]=>[3,6,1,4,5,7,2]=>[3,7,1,4,5,2,6]=>010010 [6,3,1,4,7,2,5]=>[3,4,6,1,2,7,5]=>[4,5,1,2,7,3,6]=>010010 [6,3,1,4,7,5,2]=>[6,3,7,4,1,5,2]=>[5,7,2,4,6,1,3]=>010010 [6,3,1,5,2,4,7]=>[3,1,6,5,2,4,7]=>[2,5,1,6,4,3,7]=>010110 [6,3,1,5,2,7,4]=>[6,3,5,7,1,2,4]=>[5,6,2,7,3,1,4]=>010110 [6,3,1,5,4,2,7]=>[6,3,5,4,1,2,7]=>[5,6,2,4,3,1,7]=>010110 [6,3,1,5,4,7,2]=>[6,3,5,4,1,7,2]=>[5,7,2,4,3,1,6]=>010110 [6,3,1,5,7,2,4]=>[3,1,6,5,2,7,4]=>[2,5,1,7,4,3,6]=>010110 [6,3,1,5,7,4,2]=>[6,3,5,7,1,4,2]=>[5,7,2,6,3,1,4]=>010110 [6,3,1,7,2,4,5]=>[3,1,6,2,7,4,5]=>[2,4,1,6,7,3,5]=>010010 [6,3,1,7,2,5,4]=>[6,3,7,1,5,2,4]=>[4,6,2,7,5,1,3]=>010110 [6,3,1,7,4,2,5]=>[3,6,7,4,1,2,5]=>[5,6,1,4,7,2,3]=>010010 [6,3,1,7,4,5,2]=>[3,6,7,4,1,5,2]=>[5,7,1,4,6,2,3]=>010010 [6,3,1,7,5,2,4]=>[3,6,7,1,5,2,4]=>[4,6,1,7,5,2,3]=>010110 [6,3,1,7,5,4,2]=>[6,7,5,3,4,1,2]=>[6,7,4,5,3,1,2]=>010110 [6,3,2,1,4,5,7]=>[3,2,6,1,4,5,7]=>[4,2,1,5,6,3,7]=>110010 [6,3,2,1,4,7,5]=>[6,3,7,2,1,4,5]=>[5,4,2,6,7,1,3]=>110010 [6,3,2,1,5,4,7]=>[6,3,5,2,1,4,7]=>[5,4,2,6,3,1,7]=>110110 [6,3,2,1,5,7,4]=>[6,3,5,2,1,7,4]=>[5,4,2,7,3,1,6]=>110110 [6,3,2,1,7,4,5]=>[3,6,7,2,1,4,5]=>[5,4,1,6,7,2,3]=>110010 [6,3,2,1,7,5,4]=>[6,7,5,3,2,1,4]=>[6,5,4,7,3,1,2]=>110110 [6,3,2,4,1,5,7]=>[3,2,6,4,1,5,7]=>[5,2,1,4,6,3,7]=>110010 [6,3,2,4,1,7,5]=>[6,3,7,2,4,1,5]=>[6,4,2,5,7,1,3]=>110010 [6,3,2,4,5,1,7]=>[3,2,6,4,5,1,7]=>[6,2,1,4,5,3,7]=>110010 [6,3,2,4,5,7,1]=>[3,2,6,4,5,7,1]=>[7,2,1,4,5,3,6]=>110010 [6,3,2,4,7,1,5]=>[3,2,6,4,1,7,5]=>[5,2,1,4,7,3,6]=>110010 [6,3,2,4,7,5,1]=>[6,3,7,2,4,5,1]=>[7,4,2,5,6,1,3]=>110010 [6,3,2,5,1,4,7]=>[3,2,6,1,5,4,7]=>[4,2,1,6,5,3,7]=>110110 [6,3,2,5,1,7,4]=>[6,3,5,2,7,1,4]=>[6,4,2,7,3,1,5]=>110110 [6,3,2,5,4,1,7]=>[6,3,5,2,4,1,7]=>[6,4,2,5,3,1,7]=>110110 [6,3,2,5,4,7,1]=>[6,3,5,2,4,7,1]=>[7,4,2,5,3,1,6]=>110110 [6,3,2,5,7,1,4]=>[3,2,6,1,5,7,4]=>[4,2,1,7,5,3,6]=>110110 [6,3,2,5,7,4,1]=>[6,3,5,2,7,4,1]=>[7,4,2,6,3,1,5]=>110110 [6,3,2,7,1,4,5]=>[3,2,6,1,4,7,5]=>[4,2,1,5,7,3,6]=>110010 [6,3,2,7,1,5,4]=>[6,3,7,2,1,5,4]=>[5,4,2,7,6,1,3]=>110110 [6,3,2,7,4,1,5]=>[3,6,7,2,4,1,5]=>[6,4,1,5,7,2,3]=>110010 [6,3,2,7,4,5,1]=>[3,6,7,2,4,5,1]=>[7,4,1,5,6,2,3]=>110010 [6,3,2,7,5,1,4]=>[3,6,7,2,1,5,4]=>[5,4,1,7,6,2,3]=>110110 [6,3,2,7,5,4,1]=>[6,7,5,3,2,4,1]=>[7,5,4,6,3,1,2]=>110110 [6,3,4,1,2,5,7]=>[1,3,4,6,2,5,7]=>[1,5,2,3,6,4,7]=>010010 [6,3,4,1,2,7,5]=>[6,1,3,7,4,2,5]=>[2,6,3,5,7,1,4]=>010010 [6,3,4,1,5,2,7]=>[3,4,6,5,1,2,7]=>[5,6,1,2,4,3,7]=>010010 [6,3,4,1,5,7,2]=>[3,4,6,5,1,7,2]=>[5,7,1,2,4,3,6]=>010010 [6,3,4,1,7,2,5]=>[3,4,6,1,7,2,5]=>[4,6,1,2,7,3,5]=>010010 [6,3,4,1,7,5,2]=>[6,3,7,4,5,1,2]=>[6,7,2,4,5,1,3]=>010010 [6,3,4,2,1,5,7]=>[3,4,6,2,1,5,7]=>[5,4,1,2,6,3,7]=>110010 [6,3,4,2,1,7,5]=>[6,3,7,4,2,1,5]=>[6,5,2,4,7,1,3]=>110010 [6,3,4,2,5,1,7]=>[3,4,6,2,5,1,7]=>[6,4,1,2,5,3,7]=>110010 [6,3,4,2,5,7,1]=>[3,4,6,2,5,7,1]=>[7,4,1,2,5,3,6]=>110010 [6,3,4,2,7,1,5]=>[3,4,6,2,1,7,5]=>[5,4,1,2,7,3,6]=>110010 [6,3,4,2,7,5,1]=>[6,3,7,4,2,5,1]=>[7,5,2,4,6,1,3]=>110010 [6,3,4,5,1,2,7]=>[1,3,4,6,5,2,7]=>[1,6,2,3,5,4,7]=>010010 [6,3,4,5,1,7,2]=>[3,4,6,5,7,1,2]=>[6,7,1,2,4,3,5]=>010010 [6,3,4,5,2,1,7]=>[3,4,6,5,2,1,7]=>[6,5,1,2,4,3,7]=>110010 [6,3,4,5,2,7,1]=>[3,4,6,5,2,7,1]=>[7,5,1,2,4,3,6]=>110010 [6,3,4,5,7,1,2]=>[1,3,4,6,5,7,2]=>[1,7,2,3,5,4,6]=>010010 [6,3,4,5,7,2,1]=>[3,4,6,5,7,2,1]=>[7,6,1,2,4,3,5]=>110010 [6,3,4,7,1,2,5]=>[1,3,4,6,2,7,5]=>[1,5,2,3,7,4,6]=>010010 [6,3,4,7,1,5,2]=>[3,4,6,7,1,5,2]=>[5,7,1,2,6,3,4]=>010010 [6,3,4,7,2,1,5]=>[3,4,6,2,7,1,5]=>[6,4,1,2,7,3,5]=>110010 [6,3,4,7,2,5,1]=>[3,4,6,2,7,5,1]=>[7,4,1,2,6,3,5]=>110010 [6,3,4,7,5,1,2]=>[1,6,3,7,4,5,2]=>[1,7,3,5,6,2,4]=>010010 [6,3,4,7,5,2,1]=>[6,3,7,4,5,2,1]=>[7,6,2,4,5,1,3]=>110010 [6,3,5,1,2,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>010110 [6,3,5,1,2,7,4]=>[6,1,3,5,7,2,4]=>[2,6,3,7,4,1,5]=>010110 [6,3,5,1,4,2,7]=>[3,6,1,5,4,2,7]=>[3,6,1,5,4,2,7]=>010110 [6,3,5,1,4,7,2]=>[3,6,1,5,4,7,2]=>[3,7,1,5,4,2,6]=>010110 [6,3,5,1,7,2,4]=>[3,1,6,5,7,2,4]=>[2,6,1,7,4,3,5]=>010110 [6,3,5,1,7,4,2]=>[6,3,5,7,4,1,2]=>[6,7,2,5,3,1,4]=>010110 [6,3,5,2,1,4,7]=>[3,2,6,5,1,4,7]=>[5,2,1,6,4,3,7]=>110110 [6,3,5,2,1,7,4]=>[6,3,5,7,2,1,4]=>[6,5,2,7,3,1,4]=>110110 [6,3,5,2,4,1,7]=>[3,2,6,5,4,1,7]=>[6,2,1,5,4,3,7]=>110110 [6,3,5,2,4,7,1]=>[3,2,6,5,4,7,1]=>[7,2,1,5,4,3,6]=>110110 [6,3,5,2,7,1,4]=>[3,2,6,5,1,7,4]=>[5,2,1,7,4,3,6]=>110110 [6,3,5,2,7,4,1]=>[6,3,5,7,2,4,1]=>[7,5,2,6,3,1,4]=>110110 [6,3,5,4,1,2,7]=>[1,6,3,5,4,2,7]=>[1,6,3,5,4,2,7]=>010110 [6,3,5,4,1,7,2]=>[6,3,5,4,7,1,2]=>[6,7,2,4,3,1,5]=>010110 [6,3,5,4,2,1,7]=>[6,3,5,4,2,1,7]=>[6,5,2,4,3,1,7]=>110110 [6,3,5,4,2,7,1]=>[6,3,5,4,2,7,1]=>[7,5,2,4,3,1,6]=>110110 [6,3,5,4,7,1,2]=>[1,6,3,5,4,7,2]=>[1,7,3,5,4,2,6]=>010110 [6,3,5,4,7,2,1]=>[6,3,5,4,7,2,1]=>[7,6,2,4,3,1,5]=>110110 [6,3,5,7,1,2,4]=>[1,3,2,6,5,7,4]=>[1,3,2,7,5,4,6]=>010110 [6,3,5,7,1,4,2]=>[3,6,1,5,7,4,2]=>[3,7,1,6,4,2,5]=>010110 [6,3,5,7,2,1,4]=>[3,2,6,5,7,1,4]=>[6,2,1,7,4,3,5]=>110110 [6,3,5,7,2,4,1]=>[3,2,6,5,7,4,1]=>[7,2,1,6,4,3,5]=>110110 [6,3,5,7,4,1,2]=>[1,6,3,5,7,4,2]=>[1,7,3,6,4,2,5]=>010110 [6,3,5,7,4,2,1]=>[6,3,5,7,4,2,1]=>[7,6,2,5,3,1,4]=>110110 [6,3,7,1,2,4,5]=>[1,3,2,6,4,7,5]=>[1,3,2,5,7,4,6]=>010010 [6,3,7,1,2,5,4]=>[6,1,3,7,2,5,4]=>[2,5,3,7,6,1,4]=>010110 [6,3,7,1,4,2,5]=>[3,1,6,7,4,2,5]=>[2,6,1,5,7,3,4]=>010010 [6,3,7,1,4,5,2]=>[3,6,1,4,7,5,2]=>[3,7,1,4,6,2,5]=>010010 [6,3,7,1,5,2,4]=>[3,1,6,7,2,5,4]=>[2,5,1,7,6,3,4]=>010110 [6,3,7,1,5,4,2]=>[6,3,7,5,1,4,2]=>[5,7,2,6,4,1,3]=>010110 [6,3,7,2,1,4,5]=>[3,2,6,1,7,4,5]=>[4,2,1,6,7,3,5]=>110010 [6,3,7,2,1,5,4]=>[6,3,7,2,5,1,4]=>[6,4,2,7,5,1,3]=>110110 [6,3,7,2,4,1,5]=>[3,2,6,4,7,1,5]=>[6,2,1,4,7,3,5]=>110010 [6,3,7,2,4,5,1]=>[3,2,6,4,7,5,1]=>[7,2,1,4,6,3,5]=>110010 [6,3,7,2,5,1,4]=>[3,2,6,1,7,5,4]=>[4,2,1,7,6,3,5]=>110110 [6,3,7,2,5,4,1]=>[6,3,7,2,5,4,1]=>[7,4,2,6,5,1,3]=>110110 [6,3,7,4,1,2,5]=>[1,3,6,7,4,2,5]=>[1,6,2,5,7,3,4]=>010010 [6,3,7,4,1,5,2]=>[3,6,7,4,5,1,2]=>[6,7,1,4,5,2,3]=>010010 [6,3,7,4,2,1,5]=>[3,6,7,4,2,1,5]=>[6,5,1,4,7,2,3]=>110010 [6,3,7,4,2,5,1]=>[3,6,7,4,2,5,1]=>[7,5,1,4,6,2,3]=>110010 [6,3,7,4,5,1,2]=>[1,3,6,7,4,5,2]=>[1,7,2,5,6,3,4]=>010010 [6,3,7,4,5,2,1]=>[3,6,7,4,5,2,1]=>[7,6,1,4,5,2,3]=>110010 [6,3,7,5,1,2,4]=>[1,3,6,7,2,5,4]=>[1,5,2,7,6,3,4]=>010110 [6,3,7,5,1,4,2]=>[3,6,7,5,1,4,2]=>[5,7,1,6,4,2,3]=>010110 [6,3,7,5,2,1,4]=>[3,6,7,2,5,1,4]=>[6,4,1,7,5,2,3]=>110110 [6,3,7,5,2,4,1]=>[3,6,7,2,5,4,1]=>[7,4,1,6,5,2,3]=>110110 [6,3,7,5,4,1,2]=>[1,6,7,5,3,4,2]=>[1,7,5,6,4,2,3]=>010110 [6,3,7,5,4,2,1]=>[6,7,5,3,4,2,1]=>[7,6,4,5,3,1,2]=>110110 [6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]=>[1,2,5,3,6,4,7]=>001010 [6,4,1,2,3,7,5]=>[6,1,2,7,4,3,5]=>[2,3,6,5,7,1,4]=>001010 [6,4,1,2,5,3,7]=>[4,1,6,5,2,3,7]=>[2,5,6,1,4,3,7]=>001010 [6,4,1,2,5,7,3]=>[4,1,6,5,2,7,3]=>[2,5,7,1,4,3,6]=>001010 [6,4,1,2,7,3,5]=>[1,6,4,2,7,3,5]=>[1,4,6,3,7,2,5]=>001010 [6,4,1,2,7,5,3]=>[6,7,1,4,5,2,3]=>[3,6,7,4,5,1,2]=>001010 [6,4,1,3,2,5,7]=>[1,6,4,3,2,5,7]=>[1,5,4,3,6,2,7]=>011010 [6,4,1,3,2,7,5]=>[6,7,1,4,3,2,5]=>[3,6,5,4,7,1,2]=>011010 [6,4,1,3,5,2,7]=>[4,1,6,3,5,2,7]=>[2,6,4,1,5,3,7]=>011010 [6,4,1,3,5,7,2]=>[4,1,6,3,5,7,2]=>[2,7,4,1,5,3,6]=>011010 [6,4,1,3,7,2,5]=>[1,6,4,3,2,7,5]=>[1,5,4,3,7,2,6]=>011010 [6,4,1,3,7,5,2]=>[6,7,1,4,3,5,2]=>[3,7,5,4,6,1,2]=>011010 [6,4,1,5,2,3,7]=>[1,4,6,5,2,3,7]=>[1,5,6,2,4,3,7]=>001010 [6,4,1,5,2,7,3]=>[4,6,5,7,1,2,3]=>[5,6,7,1,3,2,4]=>001010 [6,4,1,5,3,2,7]=>[4,6,5,3,1,2,7]=>[5,6,4,1,3,2,7]=>011010 [6,4,1,5,3,7,2]=>[4,6,5,3,1,7,2]=>[5,7,4,1,3,2,6]=>011010 [6,4,1,5,7,2,3]=>[1,4,6,5,2,7,3]=>[1,5,7,2,4,3,6]=>001010 [6,4,1,5,7,3,2]=>[4,6,5,7,1,3,2]=>[5,7,6,1,3,2,4]=>011010 [6,4,1,7,2,3,5]=>[1,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>001010 [6,4,1,7,2,5,3]=>[4,6,7,1,5,2,3]=>[4,6,7,1,5,2,3]=>001010 [6,4,1,7,3,2,5]=>[4,6,3,7,1,2,5]=>[5,6,3,1,7,2,4]=>011010 [6,4,1,7,3,5,2]=>[4,6,7,1,3,5,2]=>[4,7,5,1,6,2,3]=>011010 [6,4,1,7,5,2,3]=>[1,6,7,4,5,2,3]=>[1,6,7,4,5,2,3]=>001010 [6,4,1,7,5,3,2]=>[6,7,4,5,3,1,2]=>[6,7,5,3,4,1,2]=>011010 [6,4,2,1,3,5,7]=>[2,4,6,1,3,5,7]=>[4,1,5,2,6,3,7]=>101010 [6,4,2,1,3,7,5]=>[6,2,7,4,1,3,5]=>[5,2,6,4,7,1,3]=>101010 [6,4,2,1,5,3,7]=>[4,6,5,2,1,3,7]=>[5,4,6,1,3,2,7]=>101010 [6,4,2,1,5,7,3]=>[4,6,5,2,1,7,3]=>[5,4,7,1,3,2,6]=>101010 [6,4,2,1,7,3,5]=>[4,6,2,7,1,3,5]=>[5,3,6,1,7,2,4]=>101010 [6,4,2,1,7,5,3]=>[6,7,4,5,2,1,3]=>[6,5,7,3,4,1,2]=>101010 [6,4,2,3,1,5,7]=>[2,4,6,3,1,5,7]=>[5,1,4,2,6,3,7]=>101010 [6,4,2,3,1,7,5]=>[6,2,7,4,3,1,5]=>[6,2,5,4,7,1,3]=>101010 [6,4,2,3,5,1,7]=>[2,4,6,3,5,1,7]=>[6,1,4,2,5,3,7]=>101010 [6,4,2,3,5,7,1]=>[2,4,6,3,5,7,1]=>[7,1,4,2,5,3,6]=>101010 [6,4,2,3,7,1,5]=>[2,4,6,3,1,7,5]=>[5,1,4,2,7,3,6]=>101010 [6,4,2,3,7,5,1]=>[6,2,7,4,3,5,1]=>[7,2,5,4,6,1,3]=>101010 [6,4,2,5,1,3,7]=>[2,4,6,1,5,3,7]=>[4,1,6,2,5,3,7]=>101010 [6,4,2,5,1,7,3]=>[4,6,5,2,7,1,3]=>[6,4,7,1,3,2,5]=>101010 [6,4,2,5,3,1,7]=>[4,6,5,2,3,1,7]=>[6,4,5,1,3,2,7]=>101010 [6,4,2,5,3,7,1]=>[4,6,5,2,3,7,1]=>[7,4,5,1,3,2,6]=>101010 [6,4,2,5,7,1,3]=>[2,4,6,1,5,7,3]=>[4,1,7,2,5,3,6]=>101010 [6,4,2,5,7,3,1]=>[4,6,5,2,7,3,1]=>[7,4,6,1,3,2,5]=>101010 [6,4,2,7,1,3,5]=>[2,4,6,1,3,7,5]=>[4,1,5,2,7,3,6]=>101010 [6,4,2,7,1,5,3]=>[4,6,7,2,1,5,3]=>[5,4,7,1,6,2,3]=>101010 [6,4,2,7,3,1,5]=>[4,6,2,7,3,1,5]=>[6,3,5,1,7,2,4]=>101010 [6,4,2,7,3,5,1]=>[4,6,2,7,3,5,1]=>[7,3,5,1,6,2,4]=>101010 [6,4,2,7,5,1,3]=>[2,6,7,4,1,5,3]=>[5,1,7,4,6,2,3]=>101010 [6,4,2,7,5,3,1]=>[6,7,4,5,2,3,1]=>[7,5,6,3,4,1,2]=>101010 [6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7]=>[1,5,4,2,6,3,7]=>011010 [6,4,3,1,2,7,5]=>[6,1,7,4,3,2,5]=>[2,6,5,4,7,1,3]=>011010 [6,4,3,1,5,2,7]=>[4,6,3,5,1,2,7]=>[5,6,3,1,4,2,7]=>011010 [6,4,3,1,5,7,2]=>[4,6,3,5,1,7,2]=>[5,7,3,1,4,2,6]=>011010 [6,4,3,1,7,2,5]=>[4,6,3,1,7,2,5]=>[4,6,3,1,7,2,5]=>011010 [6,4,3,1,7,5,2]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>011010 [6,4,3,2,1,5,7]=>[4,6,3,2,1,5,7]=>[5,4,3,1,6,2,7]=>111010 [6,4,3,2,1,7,5]=>[6,7,4,3,2,1,5]=>[6,5,4,3,7,1,2]=>111010 [6,4,3,2,5,1,7]=>[4,6,3,2,5,1,7]=>[6,4,3,1,5,2,7]=>111010 [6,4,3,2,5,7,1]=>[4,6,3,2,5,7,1]=>[7,4,3,1,5,2,6]=>111010 [6,4,3,2,7,1,5]=>[4,6,3,2,1,7,5]=>[5,4,3,1,7,2,6]=>111010 [6,4,3,2,7,5,1]=>[6,7,4,3,2,5,1]=>[7,5,4,3,6,1,2]=>111010 [6,4,3,5,1,2,7]=>[1,4,6,3,5,2,7]=>[1,6,4,2,5,3,7]=>011010 [6,4,3,5,1,7,2]=>[4,6,3,5,7,1,2]=>[6,7,3,1,4,2,5]=>011010 [6,4,3,5,2,1,7]=>[4,6,3,5,2,1,7]=>[6,5,3,1,4,2,7]=>111010 [6,4,3,5,2,7,1]=>[4,6,3,5,2,7,1]=>[7,5,3,1,4,2,6]=>111010 [6,4,3,5,7,1,2]=>[1,4,6,3,5,7,2]=>[1,7,4,2,5,3,6]=>011010 [6,4,3,5,7,2,1]=>[4,6,3,5,7,2,1]=>[7,6,3,1,4,2,5]=>111010 [6,4,3,7,1,2,5]=>[1,4,6,3,2,7,5]=>[1,5,4,2,7,3,6]=>011010 [6,4,3,7,1,5,2]=>[4,6,3,7,1,5,2]=>[5,7,3,1,6,2,4]=>011010 [6,4,3,7,2,1,5]=>[4,6,3,2,7,1,5]=>[6,4,3,1,7,2,5]=>111010 [6,4,3,7,2,5,1]=>[4,6,3,2,7,5,1]=>[7,4,3,1,6,2,5]=>111010 [6,4,3,7,5,1,2]=>[1,6,7,4,3,5,2]=>[1,7,5,4,6,2,3]=>011010 [6,4,3,7,5,2,1]=>[6,7,4,3,5,2,1]=>[7,6,4,3,5,1,2]=>111010 [6,4,5,1,2,3,7]=>[1,2,4,6,5,3,7]=>[1,2,6,3,5,4,7]=>001010 [6,4,5,1,2,7,3]=>[4,1,6,5,7,2,3]=>[2,6,7,1,4,3,5]=>001010 [6,4,5,1,3,2,7]=>[4,1,6,5,3,2,7]=>[2,6,5,1,4,3,7]=>011010 [6,4,5,1,3,7,2]=>[4,1,6,5,3,7,2]=>[2,7,5,1,4,3,6]=>011010 [6,4,5,1,7,2,3]=>[1,4,6,5,7,2,3]=>[1,6,7,2,4,3,5]=>001010 [6,4,5,1,7,3,2]=>[4,6,5,7,3,1,2]=>[6,7,5,1,3,2,4]=>011010 [6,4,5,2,1,3,7]=>[2,4,6,5,1,3,7]=>[5,1,6,2,4,3,7]=>101010 [6,4,5,2,1,7,3]=>[4,6,5,7,2,1,3]=>[6,5,7,1,3,2,4]=>101010 [6,4,5,2,3,1,7]=>[2,4,6,5,3,1,7]=>[6,1,5,2,4,3,7]=>101010 [6,4,5,2,3,7,1]=>[2,4,6,5,3,7,1]=>[7,1,5,2,4,3,6]=>101010 [6,4,5,2,7,1,3]=>[2,4,6,5,1,7,3]=>[5,1,7,2,4,3,6]=>101010 [6,4,5,2,7,3,1]=>[4,6,5,7,2,3,1]=>[7,5,6,1,3,2,4]=>101010 [6,4,5,3,1,2,7]=>[1,4,6,5,3,2,7]=>[1,6,5,2,4,3,7]=>011010 [6,4,5,3,1,7,2]=>[4,6,5,3,7,1,2]=>[6,7,4,1,3,2,5]=>011010 [6,4,5,3,2,1,7]=>[4,6,5,3,2,1,7]=>[6,5,4,1,3,2,7]=>111010 [6,4,5,3,2,7,1]=>[4,6,5,3,2,7,1]=>[7,5,4,1,3,2,6]=>111010 [6,4,5,3,7,1,2]=>[1,4,6,5,3,7,2]=>[1,7,5,2,4,3,6]=>011010 [6,4,5,3,7,2,1]=>[4,6,5,3,7,2,1]=>[7,6,4,1,3,2,5]=>111010 [6,4,5,7,1,2,3]=>[1,2,4,6,5,7,3]=>[1,2,7,3,5,4,6]=>001010 [6,4,5,7,1,3,2]=>[4,1,6,5,7,3,2]=>[2,7,6,1,4,3,5]=>011010 [6,4,5,7,2,1,3]=>[2,4,6,5,7,1,3]=>[6,1,7,2,4,3,5]=>101010 [6,4,5,7,2,3,1]=>[2,4,6,5,7,3,1]=>[7,1,6,2,4,3,5]=>101010 [6,4,5,7,3,1,2]=>[1,4,6,5,7,3,2]=>[1,7,6,2,4,3,5]=>011010 [6,4,5,7,3,2,1]=>[4,6,5,7,3,2,1]=>[7,6,5,1,3,2,4]=>111010 [6,4,7,1,2,3,5]=>[1,2,4,6,3,7,5]=>[1,2,5,3,7,4,6]=>001010 [6,4,7,1,2,5,3]=>[4,1,6,7,2,5,3]=>[2,5,7,1,6,3,4]=>001010 [6,4,7,1,3,2,5]=>[1,6,4,3,7,2,5]=>[1,6,4,3,7,2,5]=>011010 [6,4,7,1,3,5,2]=>[4,1,6,3,7,5,2]=>[2,7,4,1,6,3,5]=>011010 [6,4,7,1,5,2,3]=>[1,4,6,7,2,5,3]=>[1,5,7,2,6,3,4]=>001010 [6,4,7,1,5,3,2]=>[4,6,7,5,1,3,2]=>[5,7,6,1,4,2,3]=>011010 [6,4,7,2,1,3,5]=>[2,4,6,1,7,3,5]=>[4,1,6,2,7,3,5]=>101010 [6,4,7,2,1,5,3]=>[4,6,7,2,5,1,3]=>[6,4,7,1,5,2,3]=>101010 [6,4,7,2,3,1,5]=>[2,4,6,3,7,1,5]=>[6,1,4,2,7,3,5]=>101010 [6,4,7,2,3,5,1]=>[2,4,6,3,7,5,1]=>[7,1,4,2,6,3,5]=>101010 [6,4,7,2,5,1,3]=>[2,4,6,1,7,5,3]=>[4,1,7,2,6,3,5]=>101010 [6,4,7,2,5,3,1]=>[4,6,7,2,5,3,1]=>[7,4,6,1,5,2,3]=>101010 [6,4,7,3,1,2,5]=>[1,4,6,3,7,2,5]=>[1,6,4,2,7,3,5]=>011010 [6,4,7,3,1,5,2]=>[4,6,3,7,5,1,2]=>[6,7,3,1,5,2,4]=>011010 [6,4,7,3,2,1,5]=>[4,6,3,7,2,1,5]=>[6,5,3,1,7,2,4]=>111010 [6,4,7,3,2,5,1]=>[4,6,3,7,2,5,1]=>[7,5,3,1,6,2,4]=>111010 [6,4,7,3,5,1,2]=>[1,4,6,3,7,5,2]=>[1,7,4,2,6,3,5]=>011010 [6,4,7,3,5,2,1]=>[4,6,3,7,5,2,1]=>[7,6,3,1,5,2,4]=>111010 [6,4,7,5,1,2,3]=>[1,2,6,7,4,5,3]=>[1,2,7,5,6,3,4]=>001010 [6,4,7,5,1,3,2]=>[6,1,7,4,5,3,2]=>[2,7,6,4,5,1,3]=>011010 [6,4,7,5,2,1,3]=>[2,6,7,4,5,1,3]=>[6,1,7,4,5,2,3]=>101010 [6,4,7,5,2,3,1]=>[2,6,7,4,5,3,1]=>[7,1,6,4,5,2,3]=>101010 [6,4,7,5,3,1,2]=>[1,6,7,4,5,3,2]=>[1,7,6,4,5,2,3]=>011010 [6,4,7,5,3,2,1]=>[6,7,4,5,3,2,1]=>[7,6,5,3,4,1,2]=>111010 [6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>000110 [6,5,1,2,3,7,4]=>[6,1,2,5,7,3,4]=>[2,3,6,7,4,1,5]=>000110 [6,5,1,2,4,3,7]=>[6,1,2,5,4,3,7]=>[2,3,6,5,4,1,7]=>001110 [6,5,1,2,4,7,3]=>[6,1,2,5,4,7,3]=>[2,3,7,5,4,1,6]=>001110 [6,5,1,2,7,3,4]=>[1,6,2,5,7,3,4]=>[1,3,6,7,4,2,5]=>000110 [6,5,1,2,7,4,3]=>[6,5,1,7,4,2,3]=>[3,6,7,5,2,1,4]=>001110 [6,5,1,3,2,4,7]=>[1,6,3,5,2,4,7]=>[1,5,3,6,4,2,7]=>010110 [6,5,1,3,2,7,4]=>[6,5,1,7,3,2,4]=>[3,6,5,7,2,1,4]=>010110 [6,5,1,3,4,2,7]=>[3,1,6,5,4,2,7]=>[2,6,1,5,4,3,7]=>010110 [6,5,1,3,4,7,2]=>[3,1,6,5,4,7,2]=>[2,7,1,5,4,3,6]=>010110 [6,5,1,3,7,2,4]=>[1,6,3,5,2,7,4]=>[1,5,3,7,4,2,6]=>010110 [6,5,1,3,7,4,2]=>[6,5,1,7,3,4,2]=>[3,7,5,6,2,1,4]=>010110 [6,5,1,4,2,3,7]=>[1,6,2,5,4,3,7]=>[1,3,6,5,4,2,7]=>001110 [6,5,1,4,2,7,3]=>[6,5,1,4,7,2,3]=>[3,6,7,4,2,1,5]=>001110 [6,5,1,4,3,2,7]=>[6,5,1,4,3,2,7]=>[3,6,5,4,2,1,7]=>011110 [6,5,1,4,3,7,2]=>[6,5,1,4,3,7,2]=>[3,7,5,4,2,1,6]=>011110 [6,5,1,4,7,2,3]=>[1,6,2,5,4,7,3]=>[1,3,7,5,4,2,6]=>001110 [6,5,1,4,7,3,2]=>[6,5,1,4,7,3,2]=>[3,7,6,4,2,1,5]=>011110 [6,5,1,7,2,3,4]=>[1,2,6,5,7,3,4]=>[1,2,6,7,4,3,5]=>000110 [6,5,1,7,2,4,3]=>[6,1,5,7,4,2,3]=>[2,6,7,5,3,1,4]=>001110 [6,5,1,7,3,2,4]=>[3,6,5,7,1,2,4]=>[5,6,1,7,3,2,4]=>010110 [6,5,1,7,3,4,2]=>[6,1,5,7,3,4,2]=>[2,7,5,6,3,1,4]=>010110 [6,5,1,7,4,2,3]=>[1,6,5,7,4,2,3]=>[1,6,7,5,3,2,4]=>001110 [6,5,1,7,4,3,2]=>[6,5,7,4,3,1,2]=>[6,7,5,4,2,1,3]=>011110 [6,5,2,1,3,4,7]=>[2,1,6,5,3,4,7]=>[2,1,5,6,4,3,7]=>100110 [6,5,2,1,3,7,4]=>[6,2,5,7,1,3,4]=>[5,2,6,7,3,1,4]=>100110 [6,5,2,1,4,3,7]=>[6,2,5,4,1,3,7]=>[5,2,6,4,3,1,7]=>101110 [6,5,2,1,4,7,3]=>[6,2,5,4,1,7,3]=>[5,2,7,4,3,1,6]=>101110 [6,5,2,1,7,3,4]=>[2,6,5,7,1,3,4]=>[5,1,6,7,3,2,4]=>100110 [6,5,2,1,7,4,3]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>101110 [6,5,2,3,1,4,7]=>[2,3,6,5,1,4,7]=>[5,1,2,6,4,3,7]=>100110 [6,5,2,3,1,7,4]=>[6,2,5,7,3,1,4]=>[6,2,5,7,3,1,4]=>100110 [6,5,2,3,4,1,7]=>[2,3,6,5,4,1,7]=>[6,1,2,5,4,3,7]=>100110 [6,5,2,3,4,7,1]=>[2,3,6,5,4,7,1]=>[7,1,2,5,4,3,6]=>100110 [6,5,2,3,7,1,4]=>[2,3,6,5,1,7,4]=>[5,1,2,7,4,3,6]=>100110 [6,5,2,3,7,4,1]=>[6,2,5,7,3,4,1]=>[7,2,5,6,3,1,4]=>100110 [6,5,2,4,1,3,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>101110 [6,5,2,4,1,7,3]=>[6,2,5,4,7,1,3]=>[6,2,7,4,3,1,5]=>101110 [6,5,2,4,3,1,7]=>[6,2,5,4,3,1,7]=>[6,2,5,4,3,1,7]=>101110 [6,5,2,4,3,7,1]=>[6,2,5,4,3,7,1]=>[7,2,5,4,3,1,6]=>101110 [6,5,2,4,7,1,3]=>[2,1,6,5,4,7,3]=>[2,1,7,5,4,3,6]=>101110 [6,5,2,4,7,3,1]=>[6,2,5,4,7,3,1]=>[7,2,6,4,3,1,5]=>101110 [6,5,2,7,1,3,4]=>[2,1,6,5,3,7,4]=>[2,1,5,7,4,3,6]=>100110 [6,5,2,7,1,4,3]=>[6,2,5,7,1,4,3]=>[5,2,7,6,3,1,4]=>101110 [6,5,2,7,3,1,4]=>[2,6,5,7,3,1,4]=>[6,1,5,7,3,2,4]=>100110 [6,5,2,7,3,4,1]=>[2,6,5,7,3,4,1]=>[7,1,5,6,3,2,4]=>100110 [6,5,2,7,4,1,3]=>[2,6,5,7,1,4,3]=>[5,1,7,6,3,2,4]=>101110 [6,5,2,7,4,3,1]=>[6,5,7,4,2,3,1]=>[7,5,6,4,2,1,3]=>101110 [6,5,3,1,2,4,7]=>[1,3,6,5,2,4,7]=>[1,5,2,6,4,3,7]=>010110 [6,5,3,1,2,7,4]=>[6,1,5,7,3,2,4]=>[2,6,5,7,3,1,4]=>010110 [6,5,3,1,4,2,7]=>[3,6,5,4,1,2,7]=>[5,6,1,4,3,2,7]=>010110 [6,5,3,1,4,7,2]=>[3,6,5,4,1,7,2]=>[5,7,1,4,3,2,6]=>010110 [6,5,3,1,7,2,4]=>[3,6,5,1,7,2,4]=>[4,6,1,7,3,2,5]=>010110 [6,5,3,1,7,4,2]=>[6,5,7,3,4,1,2]=>[6,7,4,5,2,1,3]=>010110 [6,5,3,2,1,4,7]=>[3,6,5,2,1,4,7]=>[5,4,1,6,3,2,7]=>110110 [6,5,3,2,1,7,4]=>[6,5,7,3,2,1,4]=>[6,5,4,7,2,1,3]=>110110 [6,5,3,2,4,1,7]=>[3,6,5,2,4,1,7]=>[6,4,1,5,3,2,7]=>110110 [6,5,3,2,4,7,1]=>[3,6,5,2,4,7,1]=>[7,4,1,5,3,2,6]=>110110 [6,5,3,2,7,1,4]=>[3,6,5,2,1,7,4]=>[5,4,1,7,3,2,6]=>110110 [6,5,3,2,7,4,1]=>[6,5,7,3,2,4,1]=>[7,5,4,6,2,1,3]=>110110 [6,5,3,4,1,2,7]=>[1,3,6,5,4,2,7]=>[1,6,2,5,4,3,7]=>010110 [6,5,3,4,1,7,2]=>[3,6,5,4,7,1,2]=>[6,7,1,4,3,2,5]=>010110 [6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>[6,5,1,4,3,2,7]=>110110 [6,5,3,4,2,7,1]=>[3,6,5,4,2,7,1]=>[7,5,1,4,3,2,6]=>110110 [6,5,3,4,7,1,2]=>[1,3,6,5,4,7,2]=>[1,7,2,5,4,3,6]=>010110 [6,5,3,4,7,2,1]=>[3,6,5,4,7,2,1]=>[7,6,1,4,3,2,5]=>110110 [6,5,3,7,1,2,4]=>[1,3,6,5,2,7,4]=>[1,5,2,7,4,3,6]=>010110 [6,5,3,7,1,4,2]=>[3,6,5,7,1,4,2]=>[5,7,1,6,3,2,4]=>010110 [6,5,3,7,2,1,4]=>[3,6,5,2,7,1,4]=>[6,4,1,7,3,2,5]=>110110 [6,5,3,7,2,4,1]=>[3,6,5,2,7,4,1]=>[7,4,1,6,3,2,5]=>110110 [6,5,3,7,4,1,2]=>[1,6,5,7,3,4,2]=>[1,7,5,6,3,2,4]=>010110 [6,5,3,7,4,2,1]=>[6,5,7,3,4,2,1]=>[7,6,4,5,2,1,3]=>110110 [6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>001110 [6,5,4,1,2,7,3]=>[6,1,5,4,7,2,3]=>[2,6,7,4,3,1,5]=>001110 [6,5,4,1,3,2,7]=>[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7]=>011110 [6,5,4,1,3,7,2]=>[6,1,5,4,3,7,2]=>[2,7,5,4,3,1,6]=>011110 [6,5,4,1,7,2,3]=>[1,6,5,4,7,2,3]=>[1,6,7,4,3,2,5]=>001110 [6,5,4,1,7,3,2]=>[6,5,4,7,3,1,2]=>[6,7,5,3,2,1,4]=>011110 [6,5,4,2,1,3,7]=>[2,6,5,4,1,3,7]=>[5,1,6,4,3,2,7]=>101110 [6,5,4,2,1,7,3]=>[6,5,4,7,2,1,3]=>[6,5,7,3,2,1,4]=>101110 [6,5,4,2,3,1,7]=>[2,6,5,4,3,1,7]=>[6,1,5,4,3,2,7]=>101110 [6,5,4,2,3,7,1]=>[2,6,5,4,3,7,1]=>[7,1,5,4,3,2,6]=>101110 [6,5,4,2,7,1,3]=>[2,6,5,4,1,7,3]=>[5,1,7,4,3,2,6]=>101110 [6,5,4,2,7,3,1]=>[6,5,4,7,2,3,1]=>[7,5,6,3,2,1,4]=>101110 [6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>011110 [6,5,4,3,1,7,2]=>[6,5,4,3,7,1,2]=>[6,7,4,3,2,1,5]=>011110 [6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>111110 [6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]=>111110 [6,5,4,3,7,1,2]=>[1,6,5,4,3,7,2]=>[1,7,5,4,3,2,6]=>011110 [6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5]=>111110 [6,5,4,7,1,2,3]=>[1,2,6,5,4,7,3]=>[1,2,7,5,4,3,6]=>001110 [6,5,4,7,1,3,2]=>[6,1,5,4,7,3,2]=>[2,7,6,4,3,1,5]=>011110 [6,5,4,7,2,1,3]=>[2,6,5,4,7,1,3]=>[6,1,7,4,3,2,5]=>101110 [6,5,4,7,2,3,1]=>[2,6,5,4,7,3,1]=>[7,1,6,4,3,2,5]=>101110 [6,5,4,7,3,1,2]=>[1,6,5,4,7,3,2]=>[1,7,6,4,3,2,5]=>011110 [6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4]=>111110 [6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,5,4,6]=>000110 [6,5,7,1,2,4,3]=>[6,1,2,5,7,4,3]=>[2,3,7,6,4,1,5]=>001110 [6,5,7,1,3,2,4]=>[1,6,3,5,7,2,4]=>[1,6,3,7,4,2,5]=>010110 [6,5,7,1,3,4,2]=>[3,1,6,5,7,4,2]=>[2,7,1,6,4,3,5]=>010110 [6,5,7,1,4,2,3]=>[1,6,2,5,7,4,3]=>[1,3,7,6,4,2,5]=>001110 [6,5,7,1,4,3,2]=>[6,5,1,7,4,3,2]=>[3,7,6,5,2,1,4]=>011110 [6,5,7,2,1,3,4]=>[2,1,6,5,7,3,4]=>[2,1,6,7,4,3,5]=>100110 [6,5,7,2,1,4,3]=>[6,2,5,7,4,1,3]=>[6,2,7,5,3,1,4]=>101110 [6,5,7,2,3,1,4]=>[2,3,6,5,7,1,4]=>[6,1,2,7,4,3,5]=>100110 [6,5,7,2,3,4,1]=>[2,3,6,5,7,4,1]=>[7,1,2,6,4,3,5]=>100110 [6,5,7,2,4,1,3]=>[2,1,6,5,7,4,3]=>[2,1,7,6,4,3,5]=>101110 [6,5,7,2,4,3,1]=>[6,2,5,7,4,3,1]=>[7,2,6,5,3,1,4]=>101110 [6,5,7,3,1,2,4]=>[1,3,6,5,7,2,4]=>[1,6,2,7,4,3,5]=>010110 [6,5,7,3,1,4,2]=>[3,6,5,7,4,1,2]=>[6,7,1,5,3,2,4]=>010110 [6,5,7,3,2,1,4]=>[3,6,5,7,2,1,4]=>[6,5,1,7,3,2,4]=>110110 [6,5,7,3,2,4,1]=>[3,6,5,7,2,4,1]=>[7,5,1,6,3,2,4]=>110110 [6,5,7,3,4,1,2]=>[1,3,6,5,7,4,2]=>[1,7,2,6,4,3,5]=>010110 [6,5,7,3,4,2,1]=>[3,6,5,7,4,2,1]=>[7,6,1,5,3,2,4]=>110110 [6,5,7,4,1,2,3]=>[1,2,6,5,7,4,3]=>[1,2,7,6,4,3,5]=>001110 [6,5,7,4,1,3,2]=>[6,1,5,7,4,3,2]=>[2,7,6,5,3,1,4]=>011110 [6,5,7,4,2,1,3]=>[2,6,5,7,4,1,3]=>[6,1,7,5,3,2,4]=>101110 [6,5,7,4,2,3,1]=>[2,6,5,7,4,3,1]=>[7,1,6,5,3,2,4]=>101110 [6,5,7,4,3,1,2]=>[1,6,5,7,4,3,2]=>[1,7,6,5,3,2,4]=>011110 [6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3]=>111110 [6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,5,6]=>000010 [6,7,1,2,3,5,4]=>[6,1,2,3,7,5,4]=>[2,3,4,7,6,1,5]=>000110 [6,7,1,2,4,3,5]=>[1,6,2,4,7,3,5]=>[1,3,6,4,7,2,5]=>001010 [6,7,1,2,4,5,3]=>[4,1,2,6,7,5,3]=>[2,3,7,1,6,4,5]=>001010 [6,7,1,2,5,3,4]=>[1,6,2,3,7,5,4]=>[1,3,4,7,6,2,5]=>000110 [6,7,1,2,5,4,3]=>[6,7,1,2,5,4,3]=>[3,4,7,6,5,1,2]=>001110 [6,7,1,3,2,4,5]=>[1,3,6,2,7,4,5]=>[1,4,2,6,7,3,5]=>010010 [6,7,1,3,2,5,4]=>[6,1,7,3,5,2,4]=>[2,6,4,7,5,1,3]=>010110 [6,7,1,3,4,2,5]=>[3,1,4,6,7,2,5]=>[2,6,1,3,7,4,5]=>010010 [6,7,1,3,4,5,2]=>[3,1,4,6,7,5,2]=>[2,7,1,3,6,4,5]=>010010 [6,7,1,3,5,2,4]=>[3,1,2,6,7,5,4]=>[2,3,1,7,6,4,5]=>010110 [6,7,1,3,5,4,2]=>[6,3,1,7,5,4,2]=>[3,7,2,6,5,1,4]=>010110 [6,7,1,4,2,3,5]=>[1,2,6,4,7,3,5]=>[1,2,6,4,7,3,5]=>001010 [6,7,1,4,2,5,3]=>[6,1,4,7,5,2,3]=>[2,6,7,3,5,1,4]=>001010 [6,7,1,4,3,2,5]=>[1,6,7,4,3,2,5]=>[1,6,5,4,7,2,3]=>011010 [6,7,1,4,3,5,2]=>[6,1,4,7,3,5,2]=>[2,7,5,3,6,1,4]=>011010 [6,7,1,4,5,2,3]=>[1,4,2,6,7,5,3]=>[1,3,7,2,6,4,5]=>001010 [6,7,1,4,5,3,2]=>[4,6,1,7,5,3,2]=>[3,7,6,1,5,2,4]=>011010 [6,7,1,5,2,3,4]=>[1,2,6,3,7,5,4]=>[1,2,4,7,6,3,5]=>000110 [6,7,1,5,2,4,3]=>[6,1,7,2,5,4,3]=>[2,4,7,6,5,1,3]=>001110 [6,7,1,5,3,2,4]=>[1,6,7,3,5,2,4]=>[1,6,4,7,5,2,3]=>010110 [6,7,1,5,3,4,2]=>[6,1,3,7,5,4,2]=>[2,7,3,6,5,1,4]=>010110 [6,7,1,5,4,2,3]=>[1,6,7,2,5,4,3]=>[1,4,7,6,5,2,3]=>001110 [6,7,1,5,4,3,2]=>[6,7,5,1,4,3,2]=>[4,7,6,5,3,1,2]=>011110 [6,7,2,1,3,4,5]=>[2,1,3,6,7,4,5]=>[2,1,3,6,7,4,5]=>100010 [6,7,2,1,3,5,4]=>[6,2,1,7,5,3,4]=>[3,2,6,7,5,1,4]=>100110 [6,7,2,1,4,3,5]=>[2,6,4,7,1,3,5]=>[5,1,6,3,7,2,4]=>101010 [6,7,2,1,4,5,3]=>[6,2,1,7,4,5,3]=>[3,2,7,5,6,1,4]=>101010 [6,7,2,1,5,3,4]=>[2,6,1,7,5,3,4]=>[3,1,6,7,5,2,4]=>100110 [6,7,2,1,5,4,3]=>[6,7,2,5,4,1,3]=>[6,3,7,5,4,1,2]=>101110 [6,7,2,3,1,4,5]=>[2,3,1,6,7,4,5]=>[3,1,2,6,7,4,5]=>100010 [6,7,2,3,1,5,4]=>[6,2,3,7,5,1,4]=>[6,2,3,7,5,1,4]=>100110 [6,7,2,3,4,1,5]=>[2,3,4,6,7,1,5]=>[6,1,2,3,7,4,5]=>100010 [6,7,2,3,4,5,1]=>[2,3,4,6,7,5,1]=>[7,1,2,3,6,4,5]=>100010 [6,7,2,3,5,1,4]=>[2,3,1,6,7,5,4]=>[3,1,2,7,6,4,5]=>100110 [6,7,2,3,5,4,1]=>[6,2,3,7,5,4,1]=>[7,2,3,6,5,1,4]=>100110 [6,7,2,4,1,3,5]=>[2,1,4,6,7,3,5]=>[2,1,6,3,7,4,5]=>101010 [6,7,2,4,1,5,3]=>[4,2,6,7,5,1,3]=>[6,2,7,1,5,3,4]=>101010 [6,7,2,4,3,1,5]=>[2,6,4,7,3,1,5]=>[6,1,5,3,7,2,4]=>101010 [6,7,2,4,3,5,1]=>[2,6,4,7,3,5,1]=>[7,1,5,3,6,2,4]=>101010 [6,7,2,4,5,1,3]=>[2,1,4,6,7,5,3]=>[2,1,7,3,6,4,5]=>101010 [6,7,2,4,5,3,1]=>[4,2,6,7,5,3,1]=>[7,2,6,1,5,3,4]=>101010 [6,7,2,5,1,3,4]=>[2,1,3,6,7,5,4]=>[2,1,3,7,6,4,5]=>100110 [6,7,2,5,1,4,3]=>[6,2,1,7,5,4,3]=>[3,2,7,6,5,1,4]=>101110 [6,7,2,5,3,1,4]=>[2,6,3,7,5,1,4]=>[6,1,3,7,5,2,4]=>100110 [6,7,2,5,3,4,1]=>[2,6,3,7,5,4,1]=>[7,1,3,6,5,2,4]=>100110 [6,7,2,5,4,1,3]=>[2,6,1,7,5,4,3]=>[3,1,7,6,5,2,4]=>101110 [6,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[7,3,6,5,4,1,2]=>101110 [6,7,3,1,2,4,5]=>[1,3,2,6,7,4,5]=>[1,3,2,6,7,4,5]=>010010 [6,7,3,1,2,5,4]=>[6,1,3,7,5,2,4]=>[2,6,3,7,5,1,4]=>010110 [6,7,3,1,4,2,5]=>[3,4,6,7,1,2,5]=>[5,6,1,2,7,3,4]=>010010 [6,7,3,1,4,5,2]=>[3,6,1,7,4,5,2]=>[3,7,1,5,6,2,4]=>010010 [6,7,3,1,5,2,4]=>[3,1,6,7,5,2,4]=>[2,6,1,7,5,3,4]=>010110 [6,7,3,1,5,4,2]=>[6,3,7,5,4,1,2]=>[6,7,2,5,4,1,3]=>010110 [6,7,3,2,1,4,5]=>[3,2,6,7,1,4,5]=>[5,2,1,6,7,3,4]=>110010 [6,7,3,2,1,5,4]=>[6,3,7,5,2,1,4]=>[6,5,2,7,4,1,3]=>110110 [6,7,3,2,4,1,5]=>[3,2,6,7,4,1,5]=>[6,2,1,5,7,3,4]=>110010 [6,7,3,2,4,5,1]=>[3,2,6,7,4,5,1]=>[7,2,1,5,6,3,4]=>110010 [6,7,3,2,5,1,4]=>[3,2,6,7,1,5,4]=>[5,2,1,7,6,3,4]=>110110 [6,7,3,2,5,4,1]=>[6,3,7,5,2,4,1]=>[7,5,2,6,4,1,3]=>110110 [6,7,3,4,1,2,5]=>[1,3,4,6,7,2,5]=>[1,6,2,3,7,4,5]=>010010 [6,7,3,4,1,5,2]=>[3,4,6,7,5,1,2]=>[6,7,1,2,5,3,4]=>010010 [6,7,3,4,2,1,5]=>[3,4,6,7,2,1,5]=>[6,5,1,2,7,3,4]=>110010 [6,7,3,4,2,5,1]=>[3,4,6,7,2,5,1]=>[7,5,1,2,6,3,4]=>110010 [6,7,3,4,5,1,2]=>[1,3,4,6,7,5,2]=>[1,7,2,3,6,4,5]=>010010 [6,7,3,4,5,2,1]=>[3,4,6,7,5,2,1]=>[7,6,1,2,5,3,4]=>110010 [6,7,3,5,1,2,4]=>[1,3,2,6,7,5,4]=>[1,3,2,7,6,4,5]=>010110 [6,7,3,5,1,4,2]=>[3,6,1,7,5,4,2]=>[3,7,1,6,5,2,4]=>010110 [6,7,3,5,2,1,4]=>[3,2,6,7,5,1,4]=>[6,2,1,7,5,3,4]=>110110 [6,7,3,5,2,4,1]=>[3,2,6,7,5,4,1]=>[7,2,1,6,5,3,4]=>110110 [6,7,3,5,4,1,2]=>[1,6,3,7,5,4,2]=>[1,7,3,6,5,2,4]=>010110 [6,7,3,5,4,2,1]=>[6,3,7,5,4,2,1]=>[7,6,2,5,4,1,3]=>110110 [6,7,4,1,2,3,5]=>[1,2,4,6,7,3,5]=>[1,2,6,3,7,4,5]=>001010 [6,7,4,1,2,5,3]=>[4,1,6,7,5,2,3]=>[2,6,7,1,5,3,4]=>001010 [6,7,4,1,3,2,5]=>[1,6,4,7,3,2,5]=>[1,6,5,3,7,2,4]=>011010 [6,7,4,1,3,5,2]=>[4,1,6,7,3,5,2]=>[2,7,5,1,6,3,4]=>011010 [6,7,4,1,5,2,3]=>[1,4,6,7,5,2,3]=>[1,6,7,2,5,3,4]=>001010 [6,7,4,1,5,3,2]=>[4,6,7,5,3,1,2]=>[6,7,5,1,4,2,3]=>011010 [6,7,4,2,1,3,5]=>[2,4,6,7,1,3,5]=>[5,1,6,2,7,3,4]=>101010 [6,7,4,2,1,5,3]=>[4,6,7,5,2,1,3]=>[6,5,7,1,4,2,3]=>101010 [6,7,4,2,3,1,5]=>[2,4,6,7,3,1,5]=>[6,1,5,2,7,3,4]=>101010 [6,7,4,2,3,5,1]=>[2,4,6,7,3,5,1]=>[7,1,5,2,6,3,4]=>101010 [6,7,4,2,5,1,3]=>[2,4,6,7,1,5,3]=>[5,1,7,2,6,3,4]=>101010 [6,7,4,2,5,3,1]=>[4,6,7,5,2,3,1]=>[7,5,6,1,4,2,3]=>101010 [6,7,4,3,1,2,5]=>[1,4,6,7,3,2,5]=>[1,6,5,2,7,3,4]=>011010 [6,7,4,3,1,5,2]=>[4,6,7,3,5,1,2]=>[6,7,4,1,5,2,3]=>011010 [6,7,4,3,2,1,5]=>[4,6,7,3,2,1,5]=>[6,5,4,1,7,2,3]=>111010 [6,7,4,3,2,5,1]=>[4,6,7,3,2,5,1]=>[7,5,4,1,6,2,3]=>111010 [6,7,4,3,5,1,2]=>[1,4,6,7,3,5,2]=>[1,7,5,2,6,3,4]=>011010 [6,7,4,3,5,2,1]=>[4,6,7,3,5,2,1]=>[7,6,4,1,5,2,3]=>111010 [6,7,4,5,1,2,3]=>[1,2,4,6,7,5,3]=>[1,2,7,3,6,4,5]=>001010 [6,7,4,5,1,3,2]=>[4,1,6,7,5,3,2]=>[2,7,6,1,5,3,4]=>011010 [6,7,4,5,2,1,3]=>[2,4,6,7,5,1,3]=>[6,1,7,2,5,3,4]=>101010 [6,7,4,5,2,3,1]=>[2,4,6,7,5,3,1]=>[7,1,6,2,5,3,4]=>101010 [6,7,4,5,3,1,2]=>[1,4,6,7,5,3,2]=>[1,7,6,2,5,3,4]=>011010 [6,7,4,5,3,2,1]=>[4,6,7,5,3,2,1]=>[7,6,5,1,4,2,3]=>111010 [6,7,5,1,2,3,4]=>[1,2,3,6,7,5,4]=>[1,2,3,7,6,4,5]=>000110 [6,7,5,1,2,4,3]=>[6,1,2,7,5,4,3]=>[2,3,7,6,5,1,4]=>001110 [6,7,5,1,3,2,4]=>[1,6,3,7,5,2,4]=>[1,6,3,7,5,2,4]=>010110 [6,7,5,1,3,4,2]=>[3,1,6,7,5,4,2]=>[2,7,1,6,5,3,4]=>010110 [6,7,5,1,4,2,3]=>[1,6,2,7,5,4,3]=>[1,3,7,6,5,2,4]=>001110 [6,7,5,1,4,3,2]=>[6,7,1,5,4,3,2]=>[3,7,6,5,4,1,2]=>011110 [6,7,5,2,1,3,4]=>[2,1,6,7,5,3,4]=>[2,1,6,7,5,3,4]=>100110 [6,7,5,2,1,4,3]=>[6,2,7,5,4,1,3]=>[6,2,7,5,4,1,3]=>101110 [6,7,5,2,3,1,4]=>[2,3,6,7,5,1,4]=>[6,1,2,7,5,3,4]=>100110 [6,7,5,2,3,4,1]=>[2,3,6,7,5,4,1]=>[7,1,2,6,5,3,4]=>100110 [6,7,5,2,4,1,3]=>[2,1,6,7,5,4,3]=>[2,1,7,6,5,3,4]=>101110 [6,7,5,2,4,3,1]=>[6,2,7,5,4,3,1]=>[7,2,6,5,4,1,3]=>101110 [6,7,5,3,1,2,4]=>[1,3,6,7,5,2,4]=>[1,6,2,7,5,3,4]=>010110 [6,7,5,3,1,4,2]=>[3,6,7,5,4,1,2]=>[6,7,1,5,4,2,3]=>010110 [6,7,5,3,2,1,4]=>[3,6,7,5,2,1,4]=>[6,5,1,7,4,2,3]=>110110 [6,7,5,3,2,4,1]=>[3,6,7,5,2,4,1]=>[7,5,1,6,4,2,3]=>110110 [6,7,5,3,4,1,2]=>[1,3,6,7,5,4,2]=>[1,7,2,6,5,3,4]=>010110 [6,7,5,3,4,2,1]=>[3,6,7,5,4,2,1]=>[7,6,1,5,4,2,3]=>110110 [6,7,5,4,1,2,3]=>[1,2,6,7,5,4,3]=>[1,2,7,6,5,3,4]=>001110 [6,7,5,4,1,3,2]=>[6,1,7,5,4,3,2]=>[2,7,6,5,4,1,3]=>011110 [6,7,5,4,2,1,3]=>[2,6,7,5,4,1,3]=>[6,1,7,5,4,2,3]=>101110 [6,7,5,4,2,3,1]=>[2,6,7,5,4,3,1]=>[7,1,6,5,4,2,3]=>101110 [6,7,5,4,3,1,2]=>[1,6,7,5,4,3,2]=>[1,7,6,5,4,2,3]=>011110 [6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]=>111110 [7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>000001 [7,1,2,3,4,6,5]=>[7,1,2,3,4,6,5]=>[2,3,4,5,7,6,1]=>000011 [7,1,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[1,3,4,6,5,7,2]=>000101 [7,1,2,3,5,6,4]=>[5,1,2,3,7,6,4]=>[2,3,4,7,1,6,5]=>000101 [7,1,2,3,6,4,5]=>[1,7,2,3,4,6,5]=>[1,3,4,5,7,6,2]=>000011 [7,1,2,3,6,5,4]=>[7,6,1,2,3,5,4]=>[3,4,5,7,6,2,1]=>000111 [7,1,2,4,3,5,6]=>[1,2,7,4,3,5,6]=>[1,2,5,4,6,7,3]=>001001 [7,1,2,4,3,6,5]=>[7,1,6,2,4,3,5]=>[2,4,6,5,7,3,1]=>001011 [7,1,2,4,5,3,6]=>[4,1,2,5,7,3,6]=>[2,3,6,1,4,7,5]=>001001 [7,1,2,4,5,6,3]=>[4,1,2,5,7,6,3]=>[2,3,7,1,4,6,5]=>001001 [7,1,2,4,6,3,5]=>[4,1,2,3,7,6,5]=>[2,3,4,1,7,6,5]=>001011 [7,1,2,4,6,5,3]=>[7,4,1,2,6,5,3]=>[3,4,7,2,6,5,1]=>001011 [7,1,2,5,3,4,6]=>[1,2,7,3,5,4,6]=>[1,2,4,6,5,7,3]=>000101 [7,1,2,5,3,6,4]=>[7,1,5,2,6,3,4]=>[2,4,6,7,3,5,1]=>000101 [7,1,2,5,4,3,6]=>[5,7,1,2,4,3,6]=>[3,4,6,5,1,7,2]=>001101 [7,1,2,5,4,6,3]=>[7,1,5,2,4,6,3]=>[2,4,7,5,3,6,1]=>001101 [7,1,2,5,6,3,4]=>[1,5,2,3,7,6,4]=>[1,3,4,7,2,6,5]=>000101 [7,1,2,5,6,4,3]=>[5,7,1,2,6,4,3]=>[3,4,7,6,1,5,2]=>001101 [7,1,2,6,3,4,5]=>[1,2,7,3,4,6,5]=>[1,2,4,5,7,6,3]=>000011 [7,1,2,6,3,5,4]=>[7,1,6,2,3,5,4]=>[2,4,5,7,6,3,1]=>000111 [7,1,2,6,4,3,5]=>[1,7,6,2,4,3,5]=>[1,4,6,5,7,3,2]=>001011 [7,1,2,6,4,5,3]=>[7,1,4,2,6,5,3]=>[2,4,7,3,6,5,1]=>001011 [7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[1,4,5,7,6,3,2]=>000111 [7,1,2,6,5,4,3]=>[7,6,5,1,2,4,3]=>[4,5,7,6,3,2,1]=>001111 [7,1,3,2,4,5,6]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4]=>010001 [7,1,3,2,4,6,5]=>[7,1,3,6,2,4,5]=>[2,5,3,6,7,4,1]=>010011 [7,1,3,2,5,4,6]=>[1,7,5,3,2,4,6]=>[1,5,4,6,3,7,2]=>010101 [7,1,3,2,5,6,4]=>[7,1,3,5,2,6,4]=>[2,5,3,7,4,6,1]=>010101 [7,1,3,2,6,4,5]=>[1,7,3,6,2,4,5]=>[1,5,3,6,7,4,2]=>010011 [7,1,3,2,6,5,4]=>[7,6,1,5,3,2,4]=>[3,6,5,7,4,2,1]=>010111 [7,1,3,4,2,5,6]=>[3,1,4,2,7,5,6]=>[2,4,1,3,6,7,5]=>010001 [7,1,3,4,2,6,5]=>[7,3,1,4,6,2,5]=>[3,6,2,4,7,5,1]=>010011 [7,1,3,4,5,2,6]=>[3,1,4,5,7,2,6]=>[2,6,1,3,4,7,5]=>010001 [7,1,3,4,5,6,2]=>[3,1,4,5,7,6,2]=>[2,7,1,3,4,6,5]=>010001 [7,1,3,4,6,2,5]=>[3,1,4,2,7,6,5]=>[2,4,1,3,7,6,5]=>010011 [7,1,3,4,6,5,2]=>[7,3,1,4,6,5,2]=>[3,7,2,4,6,5,1]=>010011 [7,1,3,5,2,4,6]=>[3,1,2,5,7,4,6]=>[2,3,1,6,4,7,5]=>010101 [7,1,3,5,2,6,4]=>[5,3,1,7,6,2,4]=>[3,6,2,7,1,5,4]=>010101 [7,1,3,5,4,2,6]=>[3,7,1,5,4,2,6]=>[3,6,1,5,4,7,2]=>010101 [7,1,3,5,4,6,2]=>[7,1,3,5,4,6,2]=>[2,7,3,5,4,6,1]=>010101 [7,1,3,5,6,2,4]=>[3,1,2,5,7,6,4]=>[2,3,1,7,4,6,5]=>010101 [7,1,3,5,6,4,2]=>[5,3,1,7,6,4,2]=>[3,7,2,6,1,5,4]=>010101 [7,1,3,6,2,4,5]=>[3,1,2,4,7,6,5]=>[2,3,1,4,7,6,5]=>010011 [7,1,3,6,2,5,4]=>[7,3,1,2,6,5,4]=>[3,4,2,7,6,5,1]=>010111 [7,1,3,6,4,2,5]=>[3,7,1,4,6,2,5]=>[3,6,1,4,7,5,2]=>010011 [7,1,3,6,4,5,2]=>[7,1,3,4,6,5,2]=>[2,7,3,4,6,5,1]=>010011 [7,1,3,6,5,2,4]=>[3,7,1,2,6,5,4]=>[3,4,1,7,6,5,2]=>010111 [7,1,3,6,5,4,2]=>[7,6,3,1,5,4,2]=>[4,7,3,6,5,2,1]=>010111 [7,1,4,2,3,5,6]=>[1,2,4,7,3,5,6]=>[1,2,5,3,6,7,4]=>001001 [7,1,4,2,3,6,5]=>[7,1,2,6,4,3,5]=>[2,3,6,5,7,4,1]=>001011 [7,1,4,2,5,3,6]=>[1,7,4,5,2,3,6]=>[1,5,6,3,4,7,2]=>001001 [7,1,4,2,5,6,3]=>[4,1,7,5,2,6,3]=>[2,5,7,1,4,6,3]=>001001 [7,1,4,2,6,3,5]=>[1,7,4,2,6,3,5]=>[1,4,6,3,7,5,2]=>001011 [7,1,4,2,6,5,3]=>[7,6,1,4,5,2,3]=>[3,6,7,4,5,2,1]=>001011 [7,1,4,3,2,5,6]=>[4,1,7,3,2,5,6]=>[2,5,4,1,6,7,3]=>011001 [7,1,4,3,2,6,5]=>[7,4,6,1,3,2,5]=>[4,6,5,2,7,3,1]=>011011 [7,1,4,3,5,2,6]=>[1,7,4,3,5,2,6]=>[1,6,4,3,5,7,2]=>011001 [7,1,4,3,5,6,2]=>[4,1,7,3,5,6,2]=>[2,7,4,1,5,6,3]=>011001 [7,1,4,3,6,2,5]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2]=>011011 [7,1,4,3,6,5,2]=>[7,6,1,4,3,5,2]=>[3,7,5,4,6,2,1]=>011011 [7,1,4,5,2,3,6]=>[1,4,2,5,7,3,6]=>[1,3,6,2,4,7,5]=>001001 [7,1,4,5,2,6,3]=>[4,5,1,7,6,2,3]=>[3,6,7,1,2,5,4]=>001001 [7,1,4,5,3,2,6]=>[4,1,7,5,3,2,6]=>[2,6,5,1,4,7,3]=>011001 [7,1,4,5,3,6,2]=>[4,5,1,7,3,6,2]=>[3,7,5,1,2,6,4]=>011001 [7,1,4,5,6,2,3]=>[1,4,2,5,7,6,3]=>[1,3,7,2,4,6,5]=>001001 [7,1,4,5,6,3,2]=>[4,5,1,7,6,3,2]=>[3,7,6,1,2,5,4]=>011001 [7,1,4,6,2,3,5]=>[1,4,2,3,7,6,5]=>[1,3,4,2,7,6,5]=>001011 [7,1,4,6,2,5,3]=>[4,7,1,2,6,5,3]=>[3,4,7,1,6,5,2]=>001011 [7,1,4,6,3,2,5]=>[4,1,7,3,6,2,5]=>[2,6,4,1,7,5,3]=>011011 [7,1,4,6,3,5,2]=>[4,3,1,7,6,5,2]=>[3,7,2,1,6,5,4]=>011011 [7,1,4,6,5,2,3]=>[1,7,4,2,6,5,3]=>[1,4,7,3,6,5,2]=>001011 [7,1,4,6,5,3,2]=>[7,4,6,1,5,3,2]=>[4,7,6,2,5,3,1]=>011011 [7,1,5,2,3,4,6]=>[1,2,3,7,5,4,6]=>[1,2,3,6,5,7,4]=>000101 [7,1,5,2,3,6,4]=>[7,1,2,5,6,3,4]=>[2,3,6,7,4,5,1]=>000101 [7,1,5,2,4,3,6]=>[1,7,5,2,4,3,6]=>[1,4,6,5,3,7,2]=>001101 [7,1,5,2,4,6,3]=>[7,1,2,5,4,6,3]=>[2,3,7,5,4,6,1]=>001101 [7,1,5,2,6,3,4]=>[1,7,2,5,6,3,4]=>[1,3,6,7,4,5,2]=>000101 [7,1,5,2,6,4,3]=>[7,5,1,6,4,2,3]=>[3,6,7,5,2,4,1]=>001101 [7,1,5,3,2,4,6]=>[1,5,7,3,2,4,6]=>[1,5,4,6,2,7,3]=>010101 [7,1,5,3,2,6,4]=>[5,7,6,1,3,2,4]=>[4,6,5,7,1,3,2]=>010101 [7,1,5,3,4,2,6]=>[1,7,3,5,4,2,6]=>[1,6,3,5,4,7,2]=>010101 [7,1,5,3,4,6,2]=>[3,1,7,5,4,6,2]=>[2,7,1,5,4,6,3]=>010101 [7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>[1,5,3,7,4,6,2]=>010101 [7,1,5,3,6,4,2]=>[7,5,1,6,3,4,2]=>[3,7,5,6,2,4,1]=>010101 [7,1,5,4,2,3,6]=>[1,5,7,2,4,3,6]=>[1,4,6,5,2,7,3]=>001101 [7,1,5,4,2,6,3]=>[5,7,4,1,6,2,3]=>[4,6,7,3,1,5,2]=>001101 [7,1,5,4,3,2,6]=>[5,7,4,1,3,2,6]=>[4,6,5,3,1,7,2]=>011101 [7,1,5,4,3,6,2]=>[5,7,4,1,3,6,2]=>[4,7,5,3,1,6,2]=>011101 [7,1,5,4,6,2,3]=>[1,7,2,5,4,6,3]=>[1,3,7,5,4,6,2]=>001101 [7,1,5,4,6,3,2]=>[7,5,1,4,6,3,2]=>[3,7,6,4,2,5,1]=>011101 [7,1,5,6,2,3,4]=>[1,2,5,3,7,6,4]=>[1,2,4,7,3,6,5]=>000101 [7,1,5,6,2,4,3]=>[5,1,7,2,6,4,3]=>[2,4,7,6,1,5,3]=>001101 [7,1,5,6,3,2,4]=>[1,5,7,3,6,2,4]=>[1,6,4,7,2,5,3]=>010101 [7,1,5,6,3,4,2]=>[5,1,3,7,6,4,2]=>[2,7,3,6,1,5,4]=>010101 [7,1,5,6,4,2,3]=>[1,5,7,2,6,4,3]=>[1,4,7,6,2,5,3]=>001101 [7,1,5,6,4,3,2]=>[5,7,6,1,4,3,2]=>[4,7,6,5,1,3,2]=>011101 [7,1,6,2,3,4,5]=>[1,2,3,7,4,6,5]=>[1,2,3,5,7,6,4]=>000011 [7,1,6,2,3,5,4]=>[7,1,2,6,3,5,4]=>[2,3,5,7,6,4,1]=>000111 [7,1,6,2,4,3,5]=>[1,7,2,6,4,3,5]=>[1,3,6,5,7,4,2]=>001011 [7,1,6,2,4,5,3]=>[7,1,2,4,6,5,3]=>[2,3,7,4,6,5,1]=>001011 [7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[1,3,5,7,6,4,2]=>000111 [7,1,6,2,5,4,3]=>[7,6,1,5,2,4,3]=>[3,5,7,6,4,2,1]=>001111 [7,1,6,3,2,4,5]=>[1,3,7,6,2,4,5]=>[1,5,2,6,7,4,3]=>010011 [7,1,6,3,2,5,4]=>[7,1,6,5,3,2,4]=>[2,6,5,7,4,3,1]=>010111 [7,1,6,3,4,2,5]=>[1,7,3,4,6,2,5]=>[1,6,3,4,7,5,2]=>010011 [7,1,6,3,4,5,2]=>[3,1,7,4,6,5,2]=>[2,7,1,4,6,5,3]=>010011 [7,1,6,3,5,2,4]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2]=>010111 [7,1,6,3,5,4,2]=>[7,6,1,3,5,4,2]=>[3,7,4,6,5,2,1]=>010111 [7,1,6,4,2,3,5]=>[1,2,7,6,4,3,5]=>[1,2,6,5,7,4,3]=>001011 [7,1,6,4,2,5,3]=>[7,1,6,4,5,2,3]=>[2,6,7,4,5,3,1]=>001011 [7,1,6,4,3,2,5]=>[4,7,6,1,3,2,5]=>[4,6,5,1,7,3,2]=>011011 [7,1,6,4,3,5,2]=>[7,1,6,4,3,5,2]=>[2,7,5,4,6,3,1]=>011011 [7,1,6,4,5,2,3]=>[1,7,2,4,6,5,3]=>[1,3,7,4,6,5,2]=>001011 [7,1,6,4,5,3,2]=>[7,4,1,6,5,3,2]=>[3,7,6,2,5,4,1]=>011011 [7,1,6,5,2,3,4]=>[1,2,7,6,3,5,4]=>[1,2,5,7,6,4,3]=>000111 [7,1,6,5,2,4,3]=>[7,1,6,5,2,4,3]=>[2,5,7,6,4,3,1]=>001111 [7,1,6,5,3,2,4]=>[1,7,6,5,3,2,4]=>[1,6,5,7,4,3,2]=>010111 [7,1,6,5,3,4,2]=>[7,1,6,3,5,4,2]=>[2,7,4,6,5,3,1]=>010111 [7,1,6,5,4,2,3]=>[1,7,6,5,2,4,3]=>[1,5,7,6,4,3,2]=>001111 [7,1,6,5,4,3,2]=>[7,6,5,4,1,3,2]=>[5,7,6,4,3,2,1]=>011111 [7,2,1,3,4,5,6]=>[2,1,3,4,7,5,6]=>[2,1,3,4,6,7,5]=>100001 [7,2,1,3,4,6,5]=>[7,2,1,3,6,4,5]=>[3,2,4,6,7,5,1]=>100011 [7,2,1,3,5,4,6]=>[2,7,1,5,3,4,6]=>[3,1,5,6,4,7,2]=>100101 [7,2,1,3,5,6,4]=>[7,2,1,3,5,6,4]=>[3,2,4,7,5,6,1]=>100101 [7,2,1,3,6,4,5]=>[2,7,1,3,6,4,5]=>[3,1,4,6,7,5,2]=>100011 [7,2,1,3,6,5,4]=>[7,6,2,1,5,3,4]=>[4,3,6,7,5,2,1]=>100111 [7,2,1,4,3,5,6]=>[2,4,7,1,3,5,6]=>[4,1,5,2,6,7,3]=>101001 [7,2,1,4,3,6,5]=>[7,2,6,4,1,3,5]=>[5,2,6,4,7,3,1]=>101011 [7,2,1,4,5,3,6]=>[2,7,1,4,5,3,6]=>[3,1,6,4,5,7,2]=>101001 [7,2,1,4,5,6,3]=>[4,2,1,7,5,6,3]=>[3,2,7,1,5,6,4]=>101001 [7,2,1,4,6,3,5]=>[2,7,1,4,3,6,5]=>[3,1,5,4,7,6,2]=>101011 [7,2,1,4,6,5,3]=>[7,6,2,1,4,5,3]=>[4,3,7,5,6,2,1]=>101011 [7,2,1,5,3,4,6]=>[2,1,7,5,3,4,6]=>[2,1,5,6,4,7,3]=>100101 [7,2,1,5,3,6,4]=>[7,2,5,6,1,3,4]=>[5,2,6,7,3,4,1]=>100101 [7,2,1,5,4,3,6]=>[5,7,2,4,1,3,6]=>[5,3,6,4,1,7,2]=>101101 [7,2,1,5,4,6,3]=>[7,2,5,4,1,6,3]=>[5,2,7,4,3,6,1]=>101101 [7,2,1,5,6,3,4]=>[2,7,1,3,5,6,4]=>[3,1,4,7,5,6,2]=>100101 [7,2,1,5,6,4,3]=>[7,5,2,1,6,4,3]=>[4,3,7,6,2,5,1]=>101101 [7,2,1,6,3,4,5]=>[2,1,7,3,6,4,5]=>[2,1,4,6,7,5,3]=>100011 [7,2,1,6,3,5,4]=>[7,2,6,1,5,3,4]=>[4,2,6,7,5,3,1]=>100111 [7,2,1,6,4,3,5]=>[2,7,6,4,1,3,5]=>[5,1,6,4,7,3,2]=>101011 [7,2,1,6,4,5,3]=>[7,2,6,1,4,5,3]=>[4,2,7,5,6,3,1]=>101011 [7,2,1,6,5,3,4]=>[2,7,6,1,5,3,4]=>[4,1,6,7,5,3,2]=>100111 [7,2,1,6,5,4,3]=>[7,6,5,2,4,1,3]=>[6,4,7,5,3,2,1]=>101111 [7,2,3,1,4,5,6]=>[2,3,1,4,7,5,6]=>[3,1,2,4,6,7,5]=>100001 [7,2,3,1,4,6,5]=>[7,2,3,1,6,4,5]=>[4,2,3,6,7,5,1]=>100011 [7,2,3,1,5,4,6]=>[2,7,3,5,1,4,6]=>[5,1,3,6,4,7,2]=>100101 [7,2,3,1,5,6,4]=>[7,2,3,1,5,6,4]=>[4,2,3,7,5,6,1]=>100101 [7,2,3,1,6,4,5]=>[2,7,3,1,6,4,5]=>[4,1,3,6,7,5,2]=>100011 [7,2,3,1,6,5,4]=>[7,6,2,3,5,1,4]=>[6,3,4,7,5,2,1]=>100111 [7,2,3,4,1,5,6]=>[2,3,4,1,7,5,6]=>[4,1,2,3,6,7,5]=>100001 [7,2,3,4,1,6,5]=>[7,2,3,4,6,1,5]=>[6,2,3,4,7,5,1]=>100011 [7,2,3,4,5,1,6]=>[2,3,4,5,7,1,6]=>[6,1,2,3,4,7,5]=>100001 [7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]=>[7,1,2,3,4,6,5]=>100001 [7,2,3,4,6,1,5]=>[2,3,4,1,7,6,5]=>[4,1,2,3,7,6,5]=>100011 [7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]=>100011 [7,2,3,5,1,4,6]=>[2,3,1,5,7,4,6]=>[3,1,2,6,4,7,5]=>100101 [7,2,3,5,1,6,4]=>[5,2,3,7,6,1,4]=>[6,2,3,7,1,5,4]=>100101 [7,2,3,5,4,1,6]=>[2,7,3,5,4,1,6]=>[6,1,3,5,4,7,2]=>100101 [7,2,3,5,4,6,1]=>[2,7,3,5,4,6,1]=>[7,1,3,5,4,6,2]=>100101 [7,2,3,5,6,1,4]=>[2,3,1,5,7,6,4]=>[3,1,2,7,4,6,5]=>100101 [7,2,3,5,6,4,1]=>[5,2,3,7,6,4,1]=>[7,2,3,6,1,5,4]=>100101 [7,2,3,6,1,4,5]=>[2,3,1,4,7,6,5]=>[3,1,2,4,7,6,5]=>100011 [7,2,3,6,1,5,4]=>[7,2,3,1,6,5,4]=>[4,2,3,7,6,5,1]=>100111 [7,2,3,6,4,1,5]=>[2,7,3,4,6,1,5]=>[6,1,3,4,7,5,2]=>100011 [7,2,3,6,4,5,1]=>[2,7,3,4,6,5,1]=>[7,1,3,4,6,5,2]=>100011 [7,2,3,6,5,1,4]=>[2,7,3,1,6,5,4]=>[4,1,3,7,6,5,2]=>100111 [7,2,3,6,5,4,1]=>[7,6,2,3,5,4,1]=>[7,3,4,6,5,2,1]=>100111 [7,2,4,1,3,5,6]=>[2,1,4,3,7,5,6]=>[2,1,4,3,6,7,5]=>101001 [7,2,4,1,3,6,5]=>[7,2,1,4,6,3,5]=>[3,2,6,4,7,5,1]=>101011 [7,2,4,1,5,3,6]=>[4,2,5,7,1,3,6]=>[5,2,6,1,3,7,4]=>101001 [7,2,4,1,5,6,3]=>[4,2,7,1,5,6,3]=>[4,2,7,1,5,6,3]=>101001 [7,2,4,1,6,3,5]=>[4,2,1,7,6,3,5]=>[3,2,6,1,7,5,4]=>101011 [7,2,4,1,6,5,3]=>[7,4,2,6,5,1,3]=>[6,3,7,2,5,4,1]=>101011 [7,2,4,3,1,5,6]=>[2,4,7,3,1,5,6]=>[5,1,4,2,6,7,3]=>101001 [7,2,4,3,1,6,5]=>[7,2,6,4,3,1,5]=>[6,2,5,4,7,3,1]=>101011 [7,2,4,3,5,1,6]=>[2,4,7,3,5,1,6]=>[6,1,4,2,5,7,3]=>101001 [7,2,4,3,5,6,1]=>[2,4,7,3,5,6,1]=>[7,1,4,2,5,6,3]=>101001 [7,2,4,3,6,1,5]=>[2,4,7,3,1,6,5]=>[5,1,4,2,7,6,3]=>101011 [7,2,4,3,6,5,1]=>[7,2,6,4,3,5,1]=>[7,2,5,4,6,3,1]=>101011 [7,2,4,5,1,3,6]=>[2,1,4,5,7,3,6]=>[2,1,6,3,4,7,5]=>101001 [7,2,4,5,1,6,3]=>[4,2,5,7,6,1,3]=>[6,2,7,1,3,5,4]=>101001 [7,2,4,5,3,1,6]=>[4,2,5,7,3,1,6]=>[6,2,5,1,3,7,4]=>101001 [7,2,4,5,3,6,1]=>[4,2,5,7,3,6,1]=>[7,2,5,1,3,6,4]=>101001 [7,2,4,5,6,1,3]=>[2,1,4,5,7,6,3]=>[2,1,7,3,4,6,5]=>101001 [7,2,4,5,6,3,1]=>[4,2,5,7,6,3,1]=>[7,2,6,1,3,5,4]=>101001 [7,2,4,6,1,3,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>101011 [7,2,4,6,1,5,3]=>[4,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>101011 [7,2,4,6,3,1,5]=>[4,2,3,7,6,1,5]=>[6,2,3,1,7,5,4]=>101011 [7,2,4,6,3,5,1]=>[4,2,3,7,6,5,1]=>[7,2,3,1,6,5,4]=>101011 [7,2,4,6,5,1,3]=>[2,7,1,4,6,5,3]=>[3,1,7,4,6,5,2]=>101011 [7,2,4,6,5,3,1]=>[7,4,2,6,5,3,1]=>[7,3,6,2,5,4,1]=>101011 [7,2,5,1,3,4,6]=>[2,1,3,5,7,4,6]=>[2,1,3,6,4,7,5]=>100101 [7,2,5,1,3,6,4]=>[5,2,1,7,6,3,4]=>[3,2,6,7,1,5,4]=>100101 [7,2,5,1,4,3,6]=>[2,7,1,5,4,3,6]=>[3,1,6,5,4,7,2]=>101101 [7,2,5,1,4,6,3]=>[5,2,1,7,4,6,3]=>[3,2,7,5,1,6,4]=>101101 [7,2,5,1,6,3,4]=>[2,5,1,7,6,3,4]=>[3,1,6,7,2,5,4]=>100101 [7,2,5,1,6,4,3]=>[5,7,2,6,4,1,3]=>[6,3,7,5,1,4,2]=>101101 [7,2,5,3,1,4,6]=>[2,3,7,5,1,4,6]=>[5,1,2,6,4,7,3]=>100101 [7,2,5,3,1,6,4]=>[7,2,5,6,3,1,4]=>[6,2,5,7,3,4,1]=>100101 [7,2,5,3,4,1,6]=>[2,3,7,5,4,1,6]=>[6,1,2,5,4,7,3]=>100101 [7,2,5,3,4,6,1]=>[2,3,7,5,4,6,1]=>[7,1,2,5,4,6,3]=>100101 [7,2,5,3,6,1,4]=>[2,3,7,5,1,6,4]=>[5,1,2,7,4,6,3]=>100101 [7,2,5,3,6,4,1]=>[7,2,5,6,3,4,1]=>[7,2,5,6,3,4,1]=>100101 [7,2,5,4,1,3,6]=>[2,1,7,5,4,3,6]=>[2,1,6,5,4,7,3]=>101101 [7,2,5,4,1,6,3]=>[7,2,5,4,6,1,3]=>[6,2,7,4,3,5,1]=>101101 [7,2,5,4,3,1,6]=>[5,7,2,4,3,1,6]=>[6,3,5,4,1,7,2]=>101101 [7,2,5,4,3,6,1]=>[5,7,2,4,3,6,1]=>[7,3,5,4,1,6,2]=>101101 [7,2,5,4,6,1,3]=>[2,1,7,5,4,6,3]=>[2,1,7,5,4,6,3]=>101101 [7,2,5,4,6,3,1]=>[7,2,5,4,6,3,1]=>[7,2,6,4,3,5,1]=>101101 [7,2,5,6,1,3,4]=>[2,1,3,5,7,6,4]=>[2,1,3,7,4,6,5]=>100101 [7,2,5,6,1,4,3]=>[5,2,1,7,6,4,3]=>[3,2,7,6,1,5,4]=>101101 [7,2,5,6,3,1,4]=>[2,5,3,7,6,1,4]=>[6,1,3,7,2,5,4]=>100101 [7,2,5,6,3,4,1]=>[2,5,3,7,6,4,1]=>[7,1,3,6,2,5,4]=>100101 [7,2,5,6,4,1,3]=>[2,5,1,7,6,4,3]=>[3,1,7,6,2,5,4]=>101101 [7,2,5,6,4,3,1]=>[5,7,2,6,4,3,1]=>[7,3,6,5,1,4,2]=>101101 [7,2,6,1,3,4,5]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>100011 [7,2,6,1,3,5,4]=>[7,2,1,3,6,5,4]=>[3,2,4,7,6,5,1]=>100111 [7,2,6,1,4,3,5]=>[2,7,1,4,6,3,5]=>[3,1,6,4,7,5,2]=>101011 [7,2,6,1,4,5,3]=>[4,2,1,7,6,5,3]=>[3,2,7,1,6,5,4]=>101011 [7,2,6,1,5,3,4]=>[2,7,1,3,6,5,4]=>[3,1,4,7,6,5,2]=>100111 [7,2,6,1,5,4,3]=>[7,6,2,1,5,4,3]=>[4,3,7,6,5,2,1]=>101111 [7,2,6,3,1,4,5]=>[2,3,7,1,6,4,5]=>[4,1,2,6,7,5,3]=>100011 [7,2,6,3,1,5,4]=>[7,2,6,3,5,1,4]=>[6,2,4,7,5,3,1]=>100111 [7,2,6,3,4,1,5]=>[2,3,7,4,6,1,5]=>[6,1,2,4,7,5,3]=>100011 [7,2,6,3,4,5,1]=>[2,3,7,4,6,5,1]=>[7,1,2,4,6,5,3]=>100011 [7,2,6,3,5,1,4]=>[2,3,7,1,6,5,4]=>[4,1,2,7,6,5,3]=>100111 [7,2,6,3,5,4,1]=>[7,2,6,3,5,4,1]=>[7,2,4,6,5,3,1]=>100111 [7,2,6,4,1,3,5]=>[2,1,7,4,6,3,5]=>[2,1,6,4,7,5,3]=>101011 [7,2,6,4,1,5,3]=>[7,2,4,6,5,1,3]=>[6,2,7,3,5,4,1]=>101011 [7,2,6,4,3,1,5]=>[2,7,6,4,3,1,5]=>[6,1,5,4,7,3,2]=>101011 [7,2,6,4,3,5,1]=>[2,7,6,4,3,5,1]=>[7,1,5,4,6,3,2]=>101011 [7,2,6,4,5,1,3]=>[2,1,7,4,6,5,3]=>[2,1,7,4,6,5,3]=>101011 [7,2,6,4,5,3,1]=>[7,2,4,6,5,3,1]=>[7,2,6,3,5,4,1]=>101011 [7,2,6,5,1,3,4]=>[2,1,7,3,6,5,4]=>[2,1,4,7,6,5,3]=>100111 [7,2,6,5,1,4,3]=>[7,2,6,1,5,4,3]=>[4,2,7,6,5,3,1]=>101111 [7,2,6,5,3,1,4]=>[2,7,6,3,5,1,4]=>[6,1,4,7,5,3,2]=>100111 [7,2,6,5,3,4,1]=>[2,7,6,3,5,4,1]=>[7,1,4,6,5,3,2]=>100111 [7,2,6,5,4,1,3]=>[2,7,6,1,5,4,3]=>[4,1,7,6,5,3,2]=>101111 [7,2,6,5,4,3,1]=>[7,6,5,2,4,3,1]=>[7,4,6,5,3,2,1]=>101111 [7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5]=>010001 [7,3,1,2,4,6,5]=>[7,1,3,2,6,4,5]=>[2,4,3,6,7,5,1]=>010011 [7,3,1,2,5,4,6]=>[1,7,3,5,2,4,6]=>[1,5,3,6,4,7,2]=>010101 [7,3,1,2,5,6,4]=>[7,1,3,2,5,6,4]=>[2,4,3,7,5,6,1]=>010101 [7,3,1,2,6,4,5]=>[1,7,3,2,6,4,5]=>[1,4,3,6,7,5,2]=>010011 [7,3,1,2,6,5,4]=>[7,6,1,3,5,2,4]=>[3,6,4,7,5,2,1]=>010111 [7,3,1,4,2,5,6]=>[3,4,1,7,2,5,6]=>[3,5,1,2,6,7,4]=>010001 [7,3,1,4,2,6,5]=>[7,3,4,6,1,2,5]=>[5,6,2,3,7,4,1]=>010011 [7,3,1,4,5,2,6]=>[3,1,7,4,5,2,6]=>[2,6,1,4,5,7,3]=>010001 [7,3,1,4,5,6,2]=>[3,4,1,7,5,6,2]=>[3,7,1,2,5,6,4]=>010001 [7,3,1,4,6,2,5]=>[3,1,7,4,2,6,5]=>[2,5,1,4,7,6,3]=>010011 [7,3,1,4,6,5,2]=>[7,3,6,1,4,5,2]=>[4,7,2,5,6,3,1]=>010011 [7,3,1,5,2,4,6]=>[3,1,5,7,2,4,6]=>[2,5,1,6,3,7,4]=>010101 [7,3,1,5,2,6,4]=>[5,3,7,6,1,2,4]=>[5,6,2,7,1,4,3]=>010101 [7,3,1,5,4,2,6]=>[3,7,5,4,1,2,6]=>[5,6,1,4,3,7,2]=>010101 [7,3,1,5,4,6,2]=>[3,7,5,4,1,6,2]=>[5,7,1,4,3,6,2]=>010101 [7,3,1,5,6,2,4]=>[3,1,7,2,5,6,4]=>[2,4,1,7,5,6,3]=>010101 [7,3,1,5,6,4,2]=>[7,3,5,1,6,4,2]=>[4,7,2,6,3,5,1]=>010101 [7,3,1,6,2,4,5]=>[3,1,2,7,6,4,5]=>[2,3,1,6,7,5,4]=>010011 [7,3,1,6,2,5,4]=>[7,3,1,6,5,2,4]=>[3,6,2,7,5,4,1]=>010111 [7,3,1,6,4,2,5]=>[3,7,4,6,1,2,5]=>[5,6,1,3,7,4,2]=>010011 [7,3,1,6,4,5,2]=>[3,7,6,1,4,5,2]=>[4,7,1,5,6,3,2]=>010011 [7,3,1,6,5,2,4]=>[3,7,1,6,5,2,4]=>[3,6,1,7,5,4,2]=>010111 [7,3,1,6,5,4,2]=>[7,6,3,5,4,1,2]=>[6,7,3,5,4,2,1]=>010111 [7,3,2,1,4,5,6]=>[3,2,1,7,4,5,6]=>[3,2,1,5,6,7,4]=>110001 [7,3,2,1,4,6,5]=>[7,3,2,6,1,4,5]=>[5,3,2,6,7,4,1]=>110011 [7,3,2,1,5,4,6]=>[3,7,5,2,1,4,6]=>[5,4,1,6,3,7,2]=>110101 [7,3,2,1,5,6,4]=>[7,3,2,5,1,6,4]=>[5,3,2,7,4,6,1]=>110101 [7,3,2,1,6,4,5]=>[3,7,2,6,1,4,5]=>[5,3,1,6,7,4,2]=>110011 [7,3,2,1,6,5,4]=>[7,6,3,5,2,1,4]=>[6,5,3,7,4,2,1]=>110111 [7,3,2,4,1,5,6]=>[3,2,4,7,1,5,6]=>[5,2,1,3,6,7,4]=>110001 [7,3,2,4,1,6,5]=>[7,3,2,6,4,1,5]=>[6,3,2,5,7,4,1]=>110011 [7,3,2,4,5,1,6]=>[3,2,4,7,5,1,6]=>[6,2,1,3,5,7,4]=>110001 [7,3,2,4,5,6,1]=>[3,2,4,7,5,6,1]=>[7,2,1,3,5,6,4]=>110001 [7,3,2,4,6,1,5]=>[3,2,4,7,1,6,5]=>[5,2,1,3,7,6,4]=>110011 [7,3,2,4,6,5,1]=>[7,3,2,6,4,5,1]=>[7,3,2,5,6,4,1]=>110011 [7,3,2,5,1,4,6]=>[3,2,1,7,5,4,6]=>[3,2,1,6,5,7,4]=>110101 [7,3,2,5,1,6,4]=>[7,3,2,5,6,1,4]=>[6,3,2,7,4,5,1]=>110101 [7,3,2,5,4,1,6]=>[3,7,5,2,4,1,6]=>[6,4,1,5,3,7,2]=>110101 [7,3,2,5,4,6,1]=>[3,7,5,2,4,6,1]=>[7,4,1,5,3,6,2]=>110101 [7,3,2,5,6,1,4]=>[3,2,1,7,5,6,4]=>[3,2,1,7,5,6,4]=>110101 [7,3,2,5,6,4,1]=>[7,3,2,5,6,4,1]=>[7,3,2,6,4,5,1]=>110101 [7,3,2,6,1,4,5]=>[3,2,1,7,4,6,5]=>[3,2,1,5,7,6,4]=>110011 [7,3,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[5,3,2,7,6,4,1]=>110111 [7,3,2,6,4,1,5]=>[3,7,2,6,4,1,5]=>[6,3,1,5,7,4,2]=>110011 [7,3,2,6,4,5,1]=>[3,7,2,6,4,5,1]=>[7,3,1,5,6,4,2]=>110011 [7,3,2,6,5,1,4]=>[3,7,2,6,1,5,4]=>[5,3,1,7,6,4,2]=>110111 [7,3,2,6,5,4,1]=>[7,6,3,5,2,4,1]=>[7,5,3,6,4,2,1]=>110111 [7,3,4,1,2,5,6]=>[1,3,4,2,7,5,6]=>[1,4,2,3,6,7,5]=>010001 [7,3,4,1,2,6,5]=>[7,1,3,4,6,2,5]=>[2,6,3,4,7,5,1]=>010011 [7,3,4,1,5,2,6]=>[3,4,5,7,1,2,6]=>[5,6,1,2,3,7,4]=>010001 [7,3,4,1,5,6,2]=>[3,4,7,1,5,6,2]=>[4,7,1,2,5,6,3]=>010001 [7,3,4,1,6,2,5]=>[3,4,1,7,6,2,5]=>[3,6,1,2,7,5,4]=>010011 [7,3,4,1,6,5,2]=>[7,3,4,6,5,1,2]=>[6,7,2,3,5,4,1]=>010011 [7,3,4,2,1,5,6]=>[3,4,2,7,1,5,6]=>[5,3,1,2,6,7,4]=>110001 [7,3,4,2,1,6,5]=>[7,3,4,6,2,1,5]=>[6,5,2,3,7,4,1]=>110011 [7,3,4,2,5,1,6]=>[3,4,2,7,5,1,6]=>[6,3,1,2,5,7,4]=>110001 [7,3,4,2,5,6,1]=>[3,4,2,7,5,6,1]=>[7,3,1,2,5,6,4]=>110001 [7,3,4,2,6,1,5]=>[3,4,2,7,1,6,5]=>[5,3,1,2,7,6,4]=>110011 [7,3,4,2,6,5,1]=>[7,3,4,6,2,5,1]=>[7,5,2,3,6,4,1]=>110011 [7,3,4,5,1,2,6]=>[1,3,4,5,7,2,6]=>[1,6,2,3,4,7,5]=>010001 [7,3,4,5,1,6,2]=>[3,4,5,7,6,1,2]=>[6,7,1,2,3,5,4]=>010001 [7,3,4,5,2,1,6]=>[3,4,5,7,2,1,6]=>[6,5,1,2,3,7,4]=>110001 [7,3,4,5,2,6,1]=>[3,4,5,7,2,6,1]=>[7,5,1,2,3,6,4]=>110001 [7,3,4,5,6,1,2]=>[1,3,4,5,7,6,2]=>[1,7,2,3,4,6,5]=>010001 [7,3,4,5,6,2,1]=>[3,4,5,7,6,2,1]=>[7,6,1,2,3,5,4]=>110001 [7,3,4,6,1,2,5]=>[1,3,4,2,7,6,5]=>[1,4,2,3,7,6,5]=>010011 [7,3,4,6,1,5,2]=>[3,4,7,1,6,5,2]=>[4,7,1,2,6,5,3]=>010011 [7,3,4,6,2,1,5]=>[3,4,2,7,6,1,5]=>[6,3,1,2,7,5,4]=>110011 [7,3,4,6,2,5,1]=>[3,4,2,7,6,5,1]=>[7,3,1,2,6,5,4]=>110011 [7,3,4,6,5,1,2]=>[1,7,3,4,6,5,2]=>[1,7,3,4,6,5,2]=>010011 [7,3,4,6,5,2,1]=>[7,3,4,6,5,2,1]=>[7,6,2,3,5,4,1]=>110011 [7,3,5,1,2,4,6]=>[1,3,2,5,7,4,6]=>[1,3,2,6,4,7,5]=>010101 [7,3,5,1,2,6,4]=>[5,1,3,7,6,2,4]=>[2,6,3,7,1,5,4]=>010101 [7,3,5,1,4,2,6]=>[3,1,7,5,4,2,6]=>[2,6,1,5,4,7,3]=>010101 [7,3,5,1,4,6,2]=>[3,5,1,7,4,6,2]=>[3,7,1,5,2,6,4]=>010101 [7,3,5,1,6,2,4]=>[3,1,5,7,6,2,4]=>[2,6,1,7,3,5,4]=>010101 [7,3,5,1,6,4,2]=>[5,3,7,6,4,1,2]=>[6,7,2,5,1,4,3]=>010101 [7,3,5,2,1,4,6]=>[3,2,5,7,1,4,6]=>[5,2,1,6,3,7,4]=>110101 [7,3,5,2,1,6,4]=>[5,3,7,6,2,1,4]=>[6,5,2,7,1,4,3]=>110101 [7,3,5,2,4,1,6]=>[3,2,5,7,4,1,6]=>[6,2,1,5,3,7,4]=>110101 [7,3,5,2,4,6,1]=>[3,2,5,7,4,6,1]=>[7,2,1,5,3,6,4]=>110101 [7,3,5,2,6,1,4]=>[3,2,5,7,1,6,4]=>[5,2,1,7,3,6,4]=>110101 [7,3,5,2,6,4,1]=>[5,3,7,6,2,4,1]=>[7,5,2,6,1,4,3]=>110101 [7,3,5,4,1,2,6]=>[1,3,7,5,4,2,6]=>[1,6,2,5,4,7,3]=>010101 [7,3,5,4,1,6,2]=>[3,7,5,4,6,1,2]=>[6,7,1,4,3,5,2]=>010101 [7,3,5,4,2,1,6]=>[3,7,5,4,2,1,6]=>[6,5,1,4,3,7,2]=>110101 [7,3,5,4,2,6,1]=>[3,7,5,4,2,6,1]=>[7,5,1,4,3,6,2]=>110101 [7,3,5,4,6,1,2]=>[1,3,7,5,4,6,2]=>[1,7,2,5,4,6,3]=>010101 [7,3,5,4,6,2,1]=>[3,7,5,4,6,2,1]=>[7,6,1,4,3,5,2]=>110101 [7,3,5,6,1,2,4]=>[1,3,2,5,7,6,4]=>[1,3,2,7,4,6,5]=>010101 [7,3,5,6,1,4,2]=>[3,5,1,7,6,4,2]=>[3,7,1,6,2,5,4]=>010101 [7,3,5,6,2,1,4]=>[3,2,5,7,6,1,4]=>[6,2,1,7,3,5,4]=>110101 [7,3,5,6,2,4,1]=>[3,2,5,7,6,4,1]=>[7,2,1,6,3,5,4]=>110101 [7,3,5,6,4,1,2]=>[1,5,3,7,6,4,2]=>[1,7,3,6,2,5,4]=>010101 [7,3,5,6,4,2,1]=>[5,3,7,6,4,2,1]=>[7,6,2,5,1,4,3]=>110101 [7,3,6,1,2,4,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>010011 [7,3,6,1,2,5,4]=>[7,1,3,2,6,5,4]=>[2,4,3,7,6,5,1]=>010111 [7,3,6,1,4,2,5]=>[3,1,7,4,6,2,5]=>[2,6,1,4,7,5,3]=>010011 [7,3,6,1,4,5,2]=>[3,4,1,7,6,5,2]=>[3,7,1,2,6,5,4]=>010011 [7,3,6,1,5,2,4]=>[3,1,7,2,6,5,4]=>[2,4,1,7,6,5,3]=>010111 [7,3,6,1,5,4,2]=>[7,3,6,1,5,4,2]=>[4,7,2,6,5,3,1]=>010111 [7,3,6,2,1,4,5]=>[3,2,1,7,6,4,5]=>[3,2,1,6,7,5,4]=>110011 [7,3,6,2,1,5,4]=>[7,3,2,6,5,1,4]=>[6,3,2,7,5,4,1]=>110111 [7,3,6,2,4,1,5]=>[3,2,4,7,6,1,5]=>[6,2,1,3,7,5,4]=>110011 [7,3,6,2,4,5,1]=>[3,2,4,7,6,5,1]=>[7,2,1,3,6,5,4]=>110011 [7,3,6,2,5,1,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>110111 [7,3,6,2,5,4,1]=>[7,3,2,6,5,4,1]=>[7,3,2,6,5,4,1]=>110111 [7,3,6,4,1,2,5]=>[1,3,7,4,6,2,5]=>[1,6,2,4,7,5,3]=>010011 [7,3,6,4,1,5,2]=>[3,7,4,6,5,1,2]=>[6,7,1,3,5,4,2]=>010011 [7,3,6,4,2,1,5]=>[3,7,4,6,2,1,5]=>[6,5,1,3,7,4,2]=>110011 [7,3,6,4,2,5,1]=>[3,7,4,6,2,5,1]=>[7,5,1,3,6,4,2]=>110011 [7,3,6,4,5,1,2]=>[1,3,7,4,6,5,2]=>[1,7,2,4,6,5,3]=>010011 [7,3,6,4,5,2,1]=>[3,7,4,6,5,2,1]=>[7,6,1,3,5,4,2]=>110011 [7,3,6,5,1,2,4]=>[1,3,7,2,6,5,4]=>[1,4,2,7,6,5,3]=>010111 [7,3,6,5,1,4,2]=>[3,7,6,1,5,4,2]=>[4,7,1,6,5,3,2]=>010111 [7,3,6,5,2,1,4]=>[3,7,2,6,5,1,4]=>[6,3,1,7,5,4,2]=>110111 [7,3,6,5,2,4,1]=>[3,7,2,6,5,4,1]=>[7,3,1,6,5,4,2]=>110111 [7,3,6,5,4,1,2]=>[1,7,6,3,5,4,2]=>[1,7,4,6,5,3,2]=>010111 [7,3,6,5,4,2,1]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>110111 [7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5]=>001001 [7,4,1,2,3,6,5]=>[7,1,2,4,6,3,5]=>[2,3,6,4,7,5,1]=>001011 [7,4,1,2,5,3,6]=>[4,1,5,7,2,3,6]=>[2,5,6,1,3,7,4]=>001001 [7,4,1,2,5,6,3]=>[4,1,7,2,5,6,3]=>[2,4,7,1,5,6,3]=>001001 [7,4,1,2,6,3,5]=>[4,1,2,7,6,3,5]=>[2,3,6,1,7,5,4]=>001011 [7,4,1,2,6,5,3]=>[7,4,1,6,5,2,3]=>[3,6,7,2,5,4,1]=>001011 [7,4,1,3,2,5,6]=>[1,4,7,3,2,5,6]=>[1,5,4,2,6,7,3]=>011001 [7,4,1,3,2,6,5]=>[7,1,6,4,3,2,5]=>[2,6,5,4,7,3,1]=>011011 [7,4,1,3,5,2,6]=>[4,1,3,7,5,2,6]=>[2,6,3,1,5,7,4]=>011001 [7,4,1,3,5,6,2]=>[4,1,3,7,5,6,2]=>[2,7,3,1,5,6,4]=>011001 [7,4,1,3,6,2,5]=>[4,1,3,7,2,6,5]=>[2,5,3,1,7,6,4]=>011011 [7,4,1,3,6,5,2]=>[7,4,1,6,3,5,2]=>[3,7,5,2,6,4,1]=>011011 [7,4,1,5,2,3,6]=>[1,4,5,7,2,3,6]=>[1,5,6,2,3,7,4]=>001001 [7,4,1,5,2,6,3]=>[4,5,7,6,1,2,3]=>[5,6,7,1,2,4,3]=>001001 [7,4,1,5,3,2,6]=>[4,5,7,3,1,2,6]=>[5,6,4,1,2,7,3]=>011001 [7,4,1,5,3,6,2]=>[4,5,7,3,1,6,2]=>[5,7,4,1,2,6,3]=>011001 [7,4,1,5,6,2,3]=>[1,4,7,2,5,6,3]=>[1,4,7,2,5,6,3]=>001001 [7,4,1,5,6,3,2]=>[4,7,5,1,6,3,2]=>[4,7,6,1,3,5,2]=>011001 [7,4,1,6,2,3,5]=>[1,4,2,7,6,3,5]=>[1,3,6,2,7,5,4]=>001011 [7,4,1,6,2,5,3]=>[4,7,1,6,5,2,3]=>[3,6,7,1,5,4,2]=>001011 [7,4,1,6,3,2,5]=>[4,3,7,6,1,2,5]=>[5,6,2,1,7,4,3]=>011011 [7,4,1,6,3,5,2]=>[4,7,1,6,3,5,2]=>[3,7,5,1,6,4,2]=>011011 [7,4,1,6,5,2,3]=>[1,7,4,6,5,2,3]=>[1,6,7,3,5,4,2]=>001011 [7,4,1,6,5,3,2]=>[7,4,6,5,3,1,2]=>[6,7,5,2,4,3,1]=>011011 [7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]=>[3,1,5,2,6,7,4]=>101001 [7,4,2,1,3,6,5]=>[7,2,4,6,1,3,5]=>[5,2,6,3,7,4,1]=>101011 [7,4,2,1,5,3,6]=>[4,5,7,2,1,3,6]=>[5,4,6,1,2,7,3]=>101001 [7,4,2,1,5,6,3]=>[4,7,2,5,1,6,3]=>[5,3,7,1,4,6,2]=>101001 [7,4,2,1,6,3,5]=>[4,2,7,6,1,3,5]=>[5,2,6,1,7,4,3]=>101011 [7,4,2,1,6,5,3]=>[7,4,6,5,2,1,3]=>[6,5,7,2,4,3,1]=>101011 [7,4,2,3,1,5,6]=>[2,4,3,7,1,5,6]=>[5,1,3,2,6,7,4]=>101001 [7,4,2,3,1,6,5]=>[7,2,4,6,3,1,5]=>[6,2,5,3,7,4,1]=>101011 [7,4,2,3,5,1,6]=>[2,4,3,7,5,1,6]=>[6,1,3,2,5,7,4]=>101001 [7,4,2,3,5,6,1]=>[2,4,3,7,5,6,1]=>[7,1,3,2,5,6,4]=>101001 [7,4,2,3,6,1,5]=>[2,4,3,7,1,6,5]=>[5,1,3,2,7,6,4]=>101011 [7,4,2,3,6,5,1]=>[7,2,4,6,3,5,1]=>[7,2,5,3,6,4,1]=>101011 [7,4,2,5,1,3,6]=>[2,4,1,7,5,3,6]=>[3,1,6,2,5,7,4]=>101001 [7,4,2,5,1,6,3]=>[4,7,2,5,6,1,3]=>[6,3,7,1,4,5,2]=>101001 [7,4,2,5,3,1,6]=>[4,5,7,2,3,1,6]=>[6,4,5,1,2,7,3]=>101001 [7,4,2,5,3,6,1]=>[4,5,7,2,3,6,1]=>[7,4,5,1,2,6,3]=>101001 [7,4,2,5,6,1,3]=>[2,4,1,7,5,6,3]=>[3,1,7,2,5,6,4]=>101001 [7,4,2,5,6,3,1]=>[4,7,2,5,6,3,1]=>[7,3,6,1,4,5,2]=>101001 [7,4,2,6,1,3,5]=>[2,4,1,7,3,6,5]=>[3,1,5,2,7,6,4]=>101011 [7,4,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[5,3,7,1,6,4,2]=>101011 [7,4,2,6,3,1,5]=>[4,2,7,6,3,1,5]=>[6,2,5,1,7,4,3]=>101011 [7,4,2,6,3,5,1]=>[4,2,7,6,3,5,1]=>[7,2,5,1,6,4,3]=>101011 [7,4,2,6,5,1,3]=>[2,7,4,6,1,5,3]=>[5,1,7,3,6,4,2]=>101011 [7,4,2,6,5,3,1]=>[7,4,6,5,2,3,1]=>[7,5,6,2,4,3,1]=>101011 [7,4,3,1,2,5,6]=>[1,4,3,7,2,5,6]=>[1,5,3,2,6,7,4]=>011001 [7,4,3,1,2,6,5]=>[7,1,4,6,3,2,5]=>[2,6,5,3,7,4,1]=>011011 [7,4,3,1,5,2,6]=>[4,3,7,5,1,2,6]=>[5,6,2,1,4,7,3]=>011001 [7,4,3,1,5,6,2]=>[4,3,7,5,1,6,2]=>[5,7,2,1,4,6,3]=>011001 [7,4,3,1,6,2,5]=>[4,3,7,1,6,2,5]=>[4,6,2,1,7,5,3]=>011011 [7,4,3,1,6,5,2]=>[7,4,6,3,5,1,2]=>[6,7,4,2,5,3,1]=>011011 [7,4,3,2,1,5,6]=>[4,3,7,2,1,5,6]=>[5,4,2,1,6,7,3]=>111001 [7,4,3,2,1,6,5]=>[7,4,6,3,2,1,5]=>[6,5,4,2,7,3,1]=>111011 [7,4,3,2,5,1,6]=>[4,3,7,2,5,1,6]=>[6,4,2,1,5,7,3]=>111001 [7,4,3,2,5,6,1]=>[4,3,7,2,5,6,1]=>[7,4,2,1,5,6,3]=>111001 [7,4,3,2,6,1,5]=>[4,3,7,2,1,6,5]=>[5,4,2,1,7,6,3]=>111011 [7,4,3,2,6,5,1]=>[7,4,6,3,2,5,1]=>[7,5,4,2,6,3,1]=>111011 [7,4,3,5,1,2,6]=>[1,4,3,7,5,2,6]=>[1,6,3,2,5,7,4]=>011001 [7,4,3,5,1,6,2]=>[4,3,7,5,6,1,2]=>[6,7,2,1,4,5,3]=>011001 [7,4,3,5,2,1,6]=>[4,3,7,5,2,1,6]=>[6,5,2,1,4,7,3]=>111001 [7,4,3,5,2,6,1]=>[4,3,7,5,2,6,1]=>[7,5,2,1,4,6,3]=>111001 [7,4,3,5,6,1,2]=>[1,4,3,7,5,6,2]=>[1,7,3,2,5,6,4]=>011001 [7,4,3,5,6,2,1]=>[4,3,7,5,6,2,1]=>[7,6,2,1,4,5,3]=>111001 [7,4,3,6,1,2,5]=>[1,4,3,7,2,6,5]=>[1,5,3,2,7,6,4]=>011011 [7,4,3,6,1,5,2]=>[4,3,7,6,1,5,2]=>[5,7,2,1,6,4,3]=>011011 [7,4,3,6,2,1,5]=>[4,3,7,2,6,1,5]=>[6,4,2,1,7,5,3]=>111011 [7,4,3,6,2,5,1]=>[4,3,7,2,6,5,1]=>[7,4,2,1,6,5,3]=>111011 [7,4,3,6,5,1,2]=>[1,7,4,6,3,5,2]=>[1,7,5,3,6,4,2]=>011011 [7,4,3,6,5,2,1]=>[7,4,6,3,5,2,1]=>[7,6,4,2,5,3,1]=>111011 [7,4,5,1,2,3,6]=>[1,2,4,5,7,3,6]=>[1,2,6,3,4,7,5]=>001001 [7,4,5,1,2,6,3]=>[4,1,5,7,6,2,3]=>[2,6,7,1,3,5,4]=>001001 [7,4,5,1,3,2,6]=>[4,1,5,7,3,2,6]=>[2,6,5,1,3,7,4]=>011001 [7,4,5,1,3,6,2]=>[4,1,5,7,3,6,2]=>[2,7,5,1,3,6,4]=>011001 [7,4,5,1,6,2,3]=>[1,4,5,7,6,2,3]=>[1,6,7,2,3,5,4]=>001001 [7,4,5,1,6,3,2]=>[4,5,7,6,3,1,2]=>[6,7,5,1,2,4,3]=>011001 [7,4,5,2,1,3,6]=>[2,4,5,7,1,3,6]=>[5,1,6,2,3,7,4]=>101001 [7,4,5,2,1,6,3]=>[4,5,7,6,2,1,3]=>[6,5,7,1,2,4,3]=>101001 [7,4,5,2,3,1,6]=>[2,4,5,7,3,1,6]=>[6,1,5,2,3,7,4]=>101001 [7,4,5,2,3,6,1]=>[2,4,5,7,3,6,1]=>[7,1,5,2,3,6,4]=>101001 [7,4,5,2,6,1,3]=>[2,4,5,7,1,6,3]=>[5,1,7,2,3,6,4]=>101001 [7,4,5,2,6,3,1]=>[4,5,7,6,2,3,1]=>[7,5,6,1,2,4,3]=>101001 [7,4,5,3,1,2,6]=>[1,4,5,7,3,2,6]=>[1,6,5,2,3,7,4]=>011001 [7,4,5,3,1,6,2]=>[4,5,7,3,6,1,2]=>[6,7,4,1,2,5,3]=>011001 [7,4,5,3,2,1,6]=>[4,5,7,3,2,1,6]=>[6,5,4,1,2,7,3]=>111001 [7,4,5,3,2,6,1]=>[4,5,7,3,2,6,1]=>[7,5,4,1,2,6,3]=>111001 [7,4,5,3,6,1,2]=>[1,4,5,7,3,6,2]=>[1,7,5,2,3,6,4]=>011001 [7,4,5,3,6,2,1]=>[4,5,7,3,6,2,1]=>[7,6,4,1,2,5,3]=>111001 [7,4,5,6,1,2,3]=>[1,2,4,5,7,6,3]=>[1,2,7,3,4,6,5]=>001001 [7,4,5,6,1,3,2]=>[4,1,5,7,6,3,2]=>[2,7,6,1,3,5,4]=>011001 [7,4,5,6,2,1,3]=>[2,4,5,7,6,1,3]=>[6,1,7,2,3,5,4]=>101001 [7,4,5,6,2,3,1]=>[2,4,5,7,6,3,1]=>[7,1,6,2,3,5,4]=>101001 [7,4,5,6,3,1,2]=>[1,4,5,7,6,3,2]=>[1,7,6,2,3,5,4]=>011001 [7,4,5,6,3,2,1]=>[4,5,7,6,3,2,1]=>[7,6,5,1,2,4,3]=>111001 [7,4,6,1,2,3,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>001011 [7,4,6,1,2,5,3]=>[4,1,7,2,6,5,3]=>[2,4,7,1,6,5,3]=>001011 [7,4,6,1,3,2,5]=>[4,1,3,7,6,2,5]=>[2,6,3,1,7,5,4]=>011011 [7,4,6,1,3,5,2]=>[4,1,3,7,6,5,2]=>[2,7,3,1,6,5,4]=>011011 [7,4,6,1,5,2,3]=>[1,4,7,2,6,5,3]=>[1,4,7,2,6,5,3]=>001011 [7,4,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>[4,7,6,1,5,3,2]=>011011 [7,4,6,2,1,3,5]=>[2,4,1,7,6,3,5]=>[3,1,6,2,7,5,4]=>101011 [7,4,6,2,1,5,3]=>[4,7,2,6,5,1,3]=>[6,3,7,1,5,4,2]=>101011 [7,4,6,2,3,1,5]=>[2,4,3,7,6,1,5]=>[6,1,3,2,7,5,4]=>101011 [7,4,6,2,3,5,1]=>[2,4,3,7,6,5,1]=>[7,1,3,2,6,5,4]=>101011 [7,4,6,2,5,1,3]=>[2,4,1,7,6,5,3]=>[3,1,7,2,6,5,4]=>101011 [7,4,6,2,5,3,1]=>[4,7,2,6,5,3,1]=>[7,3,6,1,5,4,2]=>101011 [7,4,6,3,1,2,5]=>[1,4,3,7,6,2,5]=>[1,6,3,2,7,5,4]=>011011 [7,4,6,3,1,5,2]=>[4,3,7,6,5,1,2]=>[6,7,2,1,5,4,3]=>011011 [7,4,6,3,2,1,5]=>[4,3,7,6,2,1,5]=>[6,5,2,1,7,4,3]=>111011 [7,4,6,3,2,5,1]=>[4,3,7,6,2,5,1]=>[7,5,2,1,6,4,3]=>111011 [7,4,6,3,5,1,2]=>[1,4,3,7,6,5,2]=>[1,7,3,2,6,5,4]=>011011 [7,4,6,3,5,2,1]=>[4,3,7,6,5,2,1]=>[7,6,2,1,5,4,3]=>111011 [7,4,6,5,1,2,3]=>[1,2,7,4,6,5,3]=>[1,2,7,4,6,5,3]=>001011 [7,4,6,5,1,3,2]=>[7,1,4,6,5,3,2]=>[2,7,6,3,5,4,1]=>011011 [7,4,6,5,2,1,3]=>[2,7,4,6,5,1,3]=>[6,1,7,3,5,4,2]=>101011 [7,4,6,5,2,3,1]=>[2,7,4,6,5,3,1]=>[7,1,6,3,5,4,2]=>101011 [7,4,6,5,3,1,2]=>[1,7,4,6,5,3,2]=>[1,7,6,3,5,4,2]=>011011 [7,4,6,5,3,2,1]=>[7,4,6,5,3,2,1]=>[7,6,5,2,4,3,1]=>111011 [7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[1,2,3,6,4,7,5]=>000101 [7,5,1,2,3,6,4]=>[5,1,2,7,6,3,4]=>[2,3,6,7,1,5,4]=>000101 [7,5,1,2,4,3,6]=>[1,7,2,5,4,3,6]=>[1,3,6,5,4,7,2]=>001101 [7,5,1,2,4,6,3]=>[5,1,2,7,4,6,3]=>[2,3,7,5,1,6,4]=>001101 [7,5,1,2,6,3,4]=>[1,5,2,7,6,3,4]=>[1,3,6,7,2,5,4]=>000101 [7,5,1,2,6,4,3]=>[5,7,1,6,4,2,3]=>[3,6,7,5,1,4,2]=>001101 [7,5,1,3,2,4,6]=>[1,3,7,5,2,4,6]=>[1,5,2,6,4,7,3]=>010101 [7,5,1,3,2,6,4]=>[7,1,5,6,3,2,4]=>[2,6,5,7,3,4,1]=>010101 [7,5,1,3,4,2,6]=>[3,1,5,7,4,2,6]=>[2,6,1,5,3,7,4]=>010101 [7,5,1,3,4,6,2]=>[3,1,5,7,4,6,2]=>[2,7,1,5,3,6,4]=>010101 [7,5,1,3,6,2,4]=>[1,5,3,7,2,6,4]=>[1,5,3,7,2,6,4]=>010101 [7,5,1,3,6,4,2]=>[5,7,1,6,3,4,2]=>[3,7,5,6,1,4,2]=>010101 [7,5,1,4,2,3,6]=>[1,2,7,5,4,3,6]=>[1,2,6,5,4,7,3]=>001101 [7,5,1,4,2,6,3]=>[7,1,5,4,6,2,3]=>[2,6,7,4,3,5,1]=>001101 [7,5,1,4,3,2,6]=>[5,7,1,4,3,2,6]=>[3,6,5,4,1,7,2]=>011101 [7,5,1,4,3,6,2]=>[7,1,5,4,3,6,2]=>[2,7,5,4,3,6,1]=>011101 [7,5,1,4,6,2,3]=>[1,5,2,7,4,6,3]=>[1,3,7,5,2,6,4]=>001101 [7,5,1,4,6,3,2]=>[5,7,1,4,6,3,2]=>[3,7,6,4,1,5,2]=>011101 [7,5,1,6,2,3,4]=>[1,2,5,7,6,3,4]=>[1,2,6,7,3,5,4]=>000101 [7,5,1,6,2,4,3]=>[5,1,7,6,4,2,3]=>[2,6,7,5,1,4,3]=>001101 [7,5,1,6,3,2,4]=>[3,5,7,6,1,2,4]=>[5,6,1,7,2,4,3]=>010101 [7,5,1,6,3,4,2]=>[5,1,7,6,3,4,2]=>[2,7,5,6,1,4,3]=>010101 [7,5,1,6,4,2,3]=>[1,5,7,6,4,2,3]=>[1,6,7,5,2,4,3]=>001101 [7,5,1,6,4,3,2]=>[5,7,6,4,3,1,2]=>[6,7,5,4,1,3,2]=>011101 [7,5,2,1,3,4,6]=>[2,1,5,7,3,4,6]=>[2,1,5,6,3,7,4]=>100101 [7,5,2,1,3,6,4]=>[5,2,7,6,1,3,4]=>[5,2,6,7,1,4,3]=>100101 [7,5,2,1,4,3,6]=>[2,7,5,4,1,3,6]=>[5,1,6,4,3,7,2]=>101101 [7,5,2,1,4,6,3]=>[5,2,7,4,1,6,3]=>[5,2,7,4,1,6,3]=>101101 [7,5,2,1,6,3,4]=>[2,5,7,6,1,3,4]=>[5,1,6,7,2,4,3]=>100101 [7,5,2,1,6,4,3]=>[5,7,6,4,2,1,3]=>[6,5,7,4,1,3,2]=>101101 [7,5,2,3,1,4,6]=>[2,3,5,7,1,4,6]=>[5,1,2,6,3,7,4]=>100101 [7,5,2,3,1,6,4]=>[5,2,7,6,3,1,4]=>[6,2,5,7,1,4,3]=>100101 [7,5,2,3,4,1,6]=>[2,3,5,7,4,1,6]=>[6,1,2,5,3,7,4]=>100101 [7,5,2,3,4,6,1]=>[2,3,5,7,4,6,1]=>[7,1,2,5,3,6,4]=>100101 [7,5,2,3,6,1,4]=>[2,3,5,7,1,6,4]=>[5,1,2,7,3,6,4]=>100101 [7,5,2,3,6,4,1]=>[5,2,7,6,3,4,1]=>[7,2,5,6,1,4,3]=>100101 [7,5,2,4,1,3,6]=>[2,1,5,7,4,3,6]=>[2,1,6,5,3,7,4]=>101101 [7,5,2,4,1,6,3]=>[5,2,7,4,6,1,3]=>[6,2,7,4,1,5,3]=>101101 [7,5,2,4,3,1,6]=>[2,7,5,4,3,1,6]=>[6,1,5,4,3,7,2]=>101101 [7,5,2,4,3,6,1]=>[2,7,5,4,3,6,1]=>[7,1,5,4,3,6,2]=>101101 [7,5,2,4,6,1,3]=>[2,1,5,7,4,6,3]=>[2,1,7,5,3,6,4]=>101101 [7,5,2,4,6,3,1]=>[5,2,7,4,6,3,1]=>[7,2,6,4,1,5,3]=>101101 [7,5,2,6,1,3,4]=>[2,1,5,7,3,6,4]=>[2,1,5,7,3,6,4]=>100101 [7,5,2,6,1,4,3]=>[5,2,7,6,1,4,3]=>[5,2,7,6,1,4,3]=>101101 [7,5,2,6,3,1,4]=>[2,5,7,6,3,1,4]=>[6,1,5,7,2,4,3]=>100101 [7,5,2,6,3,4,1]=>[2,5,7,6,3,4,1]=>[7,1,5,6,2,4,3]=>100101 [7,5,2,6,4,1,3]=>[2,5,7,6,1,4,3]=>[5,1,7,6,2,4,3]=>101101 [7,5,2,6,4,3,1]=>[5,7,6,4,2,3,1]=>[7,5,6,4,1,3,2]=>101101 [7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6]=>[1,5,2,6,3,7,4]=>010101 [7,5,3,1,2,6,4]=>[5,1,7,6,3,2,4]=>[2,6,5,7,1,4,3]=>010101 [7,5,3,1,4,2,6]=>[3,5,7,4,1,2,6]=>[5,6,1,4,2,7,3]=>010101 [7,5,3,1,4,6,2]=>[3,5,7,4,1,6,2]=>[5,7,1,4,2,6,3]=>010101 [7,5,3,1,6,2,4]=>[3,5,7,1,6,2,4]=>[4,6,1,7,2,5,3]=>010101 [7,5,3,1,6,4,2]=>[5,7,6,3,4,1,2]=>[6,7,4,5,1,3,2]=>010101 [7,5,3,2,1,4,6]=>[3,5,7,2,1,4,6]=>[5,4,1,6,2,7,3]=>110101 [7,5,3,2,1,6,4]=>[5,7,6,3,2,1,4]=>[6,5,4,7,1,3,2]=>110101 [7,5,3,2,4,1,6]=>[3,5,7,2,4,1,6]=>[6,4,1,5,2,7,3]=>110101 [7,5,3,2,4,6,1]=>[3,5,7,2,4,6,1]=>[7,4,1,5,2,6,3]=>110101 [7,5,3,2,6,1,4]=>[3,5,7,2,1,6,4]=>[5,4,1,7,2,6,3]=>110101 [7,5,3,2,6,4,1]=>[5,7,6,3,2,4,1]=>[7,5,4,6,1,3,2]=>110101 [7,5,3,4,1,2,6]=>[1,3,5,7,4,2,6]=>[1,6,2,5,3,7,4]=>010101 [7,5,3,4,1,6,2]=>[3,5,7,4,6,1,2]=>[6,7,1,4,2,5,3]=>010101 [7,5,3,4,2,1,6]=>[3,5,7,4,2,1,6]=>[6,5,1,4,2,7,3]=>110101 [7,5,3,4,2,6,1]=>[3,5,7,4,2,6,1]=>[7,5,1,4,2,6,3]=>110101 [7,5,3,4,6,1,2]=>[1,3,5,7,4,6,2]=>[1,7,2,5,3,6,4]=>010101 [7,5,3,4,6,2,1]=>[3,5,7,4,6,2,1]=>[7,6,1,4,2,5,3]=>110101 [7,5,3,6,1,2,4]=>[1,3,5,7,2,6,4]=>[1,5,2,7,3,6,4]=>010101 [7,5,3,6,1,4,2]=>[3,5,7,6,1,4,2]=>[5,7,1,6,2,4,3]=>010101 [7,5,3,6,2,1,4]=>[3,5,7,2,6,1,4]=>[6,4,1,7,2,5,3]=>110101 [7,5,3,6,2,4,1]=>[3,5,7,2,6,4,1]=>[7,4,1,6,2,5,3]=>110101 [7,5,3,6,4,1,2]=>[1,5,7,6,3,4,2]=>[1,7,5,6,2,4,3]=>010101 [7,5,3,6,4,2,1]=>[5,7,6,3,4,2,1]=>[7,6,4,5,1,3,2]=>110101 [7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>[1,2,6,5,3,7,4]=>001101 [7,5,4,1,2,6,3]=>[5,1,7,4,6,2,3]=>[2,6,7,4,1,5,3]=>001101 [7,5,4,1,3,2,6]=>[1,7,5,4,3,2,6]=>[1,6,5,4,3,7,2]=>011101 [7,5,4,1,3,6,2]=>[5,1,7,4,3,6,2]=>[2,7,5,4,1,6,3]=>011101 [7,5,4,1,6,2,3]=>[1,5,7,4,6,2,3]=>[1,6,7,4,2,5,3]=>001101 [7,5,4,1,6,3,2]=>[5,7,4,6,3,1,2]=>[6,7,5,3,1,4,2]=>011101 [7,5,4,2,1,3,6]=>[2,5,7,4,1,3,6]=>[5,1,6,4,2,7,3]=>101101 [7,5,4,2,1,6,3]=>[5,7,4,6,2,1,3]=>[6,5,7,3,1,4,2]=>101101 [7,5,4,2,3,1,6]=>[2,5,7,4,3,1,6]=>[6,1,5,4,2,7,3]=>101101 [7,5,4,2,3,6,1]=>[2,5,7,4,3,6,1]=>[7,1,5,4,2,6,3]=>101101 [7,5,4,2,6,1,3]=>[2,5,7,4,1,6,3]=>[5,1,7,4,2,6,3]=>101101 [7,5,4,2,6,3,1]=>[5,7,4,6,2,3,1]=>[7,5,6,3,1,4,2]=>101101 [7,5,4,3,1,2,6]=>[1,5,7,4,3,2,6]=>[1,6,5,4,2,7,3]=>011101 [7,5,4,3,1,6,2]=>[5,7,4,3,6,1,2]=>[6,7,4,3,1,5,2]=>011101 [7,5,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[6,5,4,3,1,7,2]=>111101 [7,5,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[7,5,4,3,1,6,2]=>111101 [7,5,4,3,6,1,2]=>[1,5,7,4,3,6,2]=>[1,7,5,4,2,6,3]=>011101 [7,5,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[7,6,4,3,1,5,2]=>111101 [7,5,4,6,1,2,3]=>[1,2,5,7,4,6,3]=>[1,2,7,5,3,6,4]=>001101 [7,5,4,6,1,3,2]=>[5,1,7,4,6,3,2]=>[2,7,6,4,1,5,3]=>011101 [7,5,4,6,2,1,3]=>[2,5,7,4,6,1,3]=>[6,1,7,4,2,5,3]=>101101 [7,5,4,6,2,3,1]=>[2,5,7,4,6,3,1]=>[7,1,6,4,2,5,3]=>101101 [7,5,4,6,3,1,2]=>[1,5,7,4,6,3,2]=>[1,7,6,4,2,5,3]=>011101 [7,5,4,6,3,2,1]=>[5,7,4,6,3,2,1]=>[7,6,5,3,1,4,2]=>111101 [7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4]=>[1,2,3,7,4,6,5]=>000101 [7,5,6,1,2,4,3]=>[5,1,2,7,6,4,3]=>[2,3,7,6,1,5,4]=>001101 [7,5,6,1,3,2,4]=>[1,5,3,7,6,2,4]=>[1,6,3,7,2,5,4]=>010101 [7,5,6,1,3,4,2]=>[3,1,5,7,6,4,2]=>[2,7,1,6,3,5,4]=>010101 [7,5,6,1,4,2,3]=>[1,5,2,7,6,4,3]=>[1,3,7,6,2,5,4]=>001101 [7,5,6,1,4,3,2]=>[5,7,1,6,4,3,2]=>[3,7,6,5,1,4,2]=>011101 [7,5,6,2,1,3,4]=>[2,1,5,7,6,3,4]=>[2,1,6,7,3,5,4]=>100101 [7,5,6,2,1,4,3]=>[5,2,7,6,4,1,3]=>[6,2,7,5,1,4,3]=>101101 [7,5,6,2,3,1,4]=>[2,3,5,7,6,1,4]=>[6,1,2,7,3,5,4]=>100101 [7,5,6,2,3,4,1]=>[2,3,5,7,6,4,1]=>[7,1,2,6,3,5,4]=>100101 [7,5,6,2,4,1,3]=>[2,1,5,7,6,4,3]=>[2,1,7,6,3,5,4]=>101101 [7,5,6,2,4,3,1]=>[5,2,7,6,4,3,1]=>[7,2,6,5,1,4,3]=>101101 [7,5,6,3,1,2,4]=>[1,3,5,7,6,2,4]=>[1,6,2,7,3,5,4]=>010101 [7,5,6,3,1,4,2]=>[3,5,7,6,4,1,2]=>[6,7,1,5,2,4,3]=>010101 [7,5,6,3,2,1,4]=>[3,5,7,6,2,1,4]=>[6,5,1,7,2,4,3]=>110101 [7,5,6,3,2,4,1]=>[3,5,7,6,2,4,1]=>[7,5,1,6,2,4,3]=>110101 [7,5,6,3,4,1,2]=>[1,3,5,7,6,4,2]=>[1,7,2,6,3,5,4]=>010101 [7,5,6,3,4,2,1]=>[3,5,7,6,4,2,1]=>[7,6,1,5,2,4,3]=>110101 [7,5,6,4,1,2,3]=>[1,2,5,7,6,4,3]=>[1,2,7,6,3,5,4]=>001101 [7,5,6,4,1,3,2]=>[5,1,7,6,4,3,2]=>[2,7,6,5,1,4,3]=>011101 [7,5,6,4,2,1,3]=>[2,5,7,6,4,1,3]=>[6,1,7,5,2,4,3]=>101101 [7,5,6,4,2,3,1]=>[2,5,7,6,4,3,1]=>[7,1,6,5,2,4,3]=>101101 [7,5,6,4,3,1,2]=>[1,5,7,6,4,3,2]=>[1,7,6,5,2,4,3]=>011101 [7,5,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[7,6,5,4,1,3,2]=>111101 [7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>000011 [7,6,1,2,3,5,4]=>[7,1,2,3,6,5,4]=>[2,3,4,7,6,5,1]=>000111 [7,6,1,2,4,3,5]=>[1,7,2,4,6,3,5]=>[1,3,6,4,7,5,2]=>001011 [7,6,1,2,4,5,3]=>[4,1,2,7,6,5,3]=>[2,3,7,1,6,5,4]=>001011 [7,6,1,2,5,3,4]=>[1,7,2,3,6,5,4]=>[1,3,4,7,6,5,2]=>000111 [7,6,1,2,5,4,3]=>[7,6,1,2,5,4,3]=>[3,4,7,6,5,2,1]=>001111 [7,6,1,3,2,4,5]=>[1,3,7,2,6,4,5]=>[1,4,2,6,7,5,3]=>010011 [7,6,1,3,2,5,4]=>[7,1,6,3,5,2,4]=>[2,6,4,7,5,3,1]=>010111 [7,6,1,3,4,2,5]=>[3,1,4,7,6,2,5]=>[2,6,1,3,7,5,4]=>010011 [7,6,1,3,4,5,2]=>[3,1,4,7,6,5,2]=>[2,7,1,3,6,5,4]=>010011 [7,6,1,3,5,2,4]=>[3,1,2,7,6,5,4]=>[2,3,1,7,6,5,4]=>010111 [7,6,1,3,5,4,2]=>[7,3,1,6,5,4,2]=>[3,7,2,6,5,4,1]=>010111 [7,6,1,4,2,3,5]=>[1,2,7,4,6,3,5]=>[1,2,6,4,7,5,3]=>001011 [7,6,1,4,2,5,3]=>[7,1,4,6,5,2,3]=>[2,6,7,3,5,4,1]=>001011 [7,6,1,4,3,2,5]=>[1,7,6,4,3,2,5]=>[1,6,5,4,7,3,2]=>011011 [7,6,1,4,3,5,2]=>[7,1,4,6,3,5,2]=>[2,7,5,3,6,4,1]=>011011 [7,6,1,4,5,2,3]=>[1,4,2,7,6,5,3]=>[1,3,7,2,6,5,4]=>001011 [7,6,1,4,5,3,2]=>[4,7,1,6,5,3,2]=>[3,7,6,1,5,4,2]=>011011 [7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[1,2,4,7,6,5,3]=>000111 [7,6,1,5,2,4,3]=>[7,1,6,2,5,4,3]=>[2,4,7,6,5,3,1]=>001111 [7,6,1,5,3,2,4]=>[1,7,6,3,5,2,4]=>[1,6,4,7,5,3,2]=>010111 [7,6,1,5,3,4,2]=>[7,1,3,6,5,4,2]=>[2,7,3,6,5,4,1]=>010111 [7,6,1,5,4,2,3]=>[1,7,6,2,5,4,3]=>[1,4,7,6,5,3,2]=>001111 [7,6,1,5,4,3,2]=>[7,6,5,1,4,3,2]=>[4,7,6,5,3,2,1]=>011111 [7,6,2,1,3,4,5]=>[2,1,3,7,6,4,5]=>[2,1,3,6,7,5,4]=>100011 [7,6,2,1,3,5,4]=>[7,2,1,6,5,3,4]=>[3,2,6,7,5,4,1]=>100111 [7,6,2,1,4,3,5]=>[2,7,4,6,1,3,5]=>[5,1,6,3,7,4,2]=>101011 [7,6,2,1,4,5,3]=>[7,2,1,6,4,5,3]=>[3,2,7,5,6,4,1]=>101011 [7,6,2,1,5,3,4]=>[2,7,1,6,5,3,4]=>[3,1,6,7,5,4,2]=>100111 [7,6,2,1,5,4,3]=>[7,6,2,5,4,1,3]=>[6,3,7,5,4,2,1]=>101111 [7,6,2,3,1,4,5]=>[2,3,1,7,6,4,5]=>[3,1,2,6,7,5,4]=>100011 [7,6,2,3,1,5,4]=>[7,2,3,6,5,1,4]=>[6,2,3,7,5,4,1]=>100111 [7,6,2,3,4,1,5]=>[2,3,4,7,6,1,5]=>[6,1,2,3,7,5,4]=>100011 [7,6,2,3,4,5,1]=>[2,3,4,7,6,5,1]=>[7,1,2,3,6,5,4]=>100011 [7,6,2,3,5,1,4]=>[2,3,1,7,6,5,4]=>[3,1,2,7,6,5,4]=>100111 [7,6,2,3,5,4,1]=>[7,2,3,6,5,4,1]=>[7,2,3,6,5,4,1]=>100111 [7,6,2,4,1,3,5]=>[2,1,4,7,6,3,5]=>[2,1,6,3,7,5,4]=>101011 [7,6,2,4,1,5,3]=>[4,2,7,6,5,1,3]=>[6,2,7,1,5,4,3]=>101011 [7,6,2,4,3,1,5]=>[2,7,4,6,3,1,5]=>[6,1,5,3,7,4,2]=>101011 [7,6,2,4,3,5,1]=>[2,7,4,6,3,5,1]=>[7,1,5,3,6,4,2]=>101011 [7,6,2,4,5,1,3]=>[2,1,4,7,6,5,3]=>[2,1,7,3,6,5,4]=>101011 [7,6,2,4,5,3,1]=>[4,2,7,6,5,3,1]=>[7,2,6,1,5,4,3]=>101011 [7,6,2,5,1,3,4]=>[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>100111 [7,6,2,5,1,4,3]=>[7,2,1,6,5,4,3]=>[3,2,7,6,5,4,1]=>101111 [7,6,2,5,3,1,4]=>[2,7,3,6,5,1,4]=>[6,1,3,7,5,4,2]=>100111 [7,6,2,5,3,4,1]=>[2,7,3,6,5,4,1]=>[7,1,3,6,5,4,2]=>100111 [7,6,2,5,4,1,3]=>[2,7,1,6,5,4,3]=>[3,1,7,6,5,4,2]=>101111 [7,6,2,5,4,3,1]=>[7,6,2,5,4,3,1]=>[7,3,6,5,4,2,1]=>101111 [7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5]=>[1,3,2,6,7,5,4]=>010011 [7,6,3,1,2,5,4]=>[7,1,3,6,5,2,4]=>[2,6,3,7,5,4,1]=>010111 [7,6,3,1,4,2,5]=>[3,4,7,6,1,2,5]=>[5,6,1,2,7,4,3]=>010011 [7,6,3,1,4,5,2]=>[3,7,1,6,4,5,2]=>[3,7,1,5,6,4,2]=>010011 [7,6,3,1,5,2,4]=>[3,1,7,6,5,2,4]=>[2,6,1,7,5,4,3]=>010111 [7,6,3,1,5,4,2]=>[7,3,6,5,4,1,2]=>[6,7,2,5,4,3,1]=>010111 [7,6,3,2,1,4,5]=>[3,2,7,6,1,4,5]=>[5,2,1,6,7,4,3]=>110011 [7,6,3,2,1,5,4]=>[7,3,6,5,2,1,4]=>[6,5,2,7,4,3,1]=>110111 [7,6,3,2,4,1,5]=>[3,2,7,6,4,1,5]=>[6,2,1,5,7,4,3]=>110011 [7,6,3,2,4,5,1]=>[3,2,7,6,4,5,1]=>[7,2,1,5,6,4,3]=>110011 [7,6,3,2,5,1,4]=>[3,2,7,6,1,5,4]=>[5,2,1,7,6,4,3]=>110111 [7,6,3,2,5,4,1]=>[7,3,6,5,2,4,1]=>[7,5,2,6,4,3,1]=>110111 [7,6,3,4,1,2,5]=>[1,3,4,7,6,2,5]=>[1,6,2,3,7,5,4]=>010011 [7,6,3,4,1,5,2]=>[3,4,7,6,5,1,2]=>[6,7,1,2,5,4,3]=>010011 [7,6,3,4,2,1,5]=>[3,4,7,6,2,1,5]=>[6,5,1,2,7,4,3]=>110011 [7,6,3,4,2,5,1]=>[3,4,7,6,2,5,1]=>[7,5,1,2,6,4,3]=>110011 [7,6,3,4,5,1,2]=>[1,3,4,7,6,5,2]=>[1,7,2,3,6,5,4]=>010011 [7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>[7,6,1,2,5,4,3]=>110011 [7,6,3,5,1,2,4]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>010111 [7,6,3,5,1,4,2]=>[3,7,1,6,5,4,2]=>[3,7,1,6,5,4,2]=>010111 [7,6,3,5,2,1,4]=>[3,2,7,6,5,1,4]=>[6,2,1,7,5,4,3]=>110111 [7,6,3,5,2,4,1]=>[3,2,7,6,5,4,1]=>[7,2,1,6,5,4,3]=>110111 [7,6,3,5,4,1,2]=>[1,7,3,6,5,4,2]=>[1,7,3,6,5,4,2]=>010111 [7,6,3,5,4,2,1]=>[7,3,6,5,4,2,1]=>[7,6,2,5,4,3,1]=>110111 [7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5]=>[1,2,6,3,7,5,4]=>001011 [7,6,4,1,2,5,3]=>[4,1,7,6,5,2,3]=>[2,6,7,1,5,4,3]=>001011 [7,6,4,1,3,2,5]=>[1,7,4,6,3,2,5]=>[1,6,5,3,7,4,2]=>011011 [7,6,4,1,3,5,2]=>[4,1,7,6,3,5,2]=>[2,7,5,1,6,4,3]=>011011 [7,6,4,1,5,2,3]=>[1,4,7,6,5,2,3]=>[1,6,7,2,5,4,3]=>001011 [7,6,4,1,5,3,2]=>[4,7,6,5,3,1,2]=>[6,7,5,1,4,3,2]=>011011 [7,6,4,2,1,3,5]=>[2,4,7,6,1,3,5]=>[5,1,6,2,7,4,3]=>101011 [7,6,4,2,1,5,3]=>[4,7,6,5,2,1,3]=>[6,5,7,1,4,3,2]=>101011 [7,6,4,2,3,1,5]=>[2,4,7,6,3,1,5]=>[6,1,5,2,7,4,3]=>101011 [7,6,4,2,3,5,1]=>[2,4,7,6,3,5,1]=>[7,1,5,2,6,4,3]=>101011 [7,6,4,2,5,1,3]=>[2,4,7,6,1,5,3]=>[5,1,7,2,6,4,3]=>101011 [7,6,4,2,5,3,1]=>[4,7,6,5,2,3,1]=>[7,5,6,1,4,3,2]=>101011 [7,6,4,3,1,2,5]=>[1,4,7,6,3,2,5]=>[1,6,5,2,7,4,3]=>011011 [7,6,4,3,1,5,2]=>[4,7,6,3,5,1,2]=>[6,7,4,1,5,3,2]=>011011 [7,6,4,3,2,1,5]=>[4,7,6,3,2,1,5]=>[6,5,4,1,7,3,2]=>111011 [7,6,4,3,2,5,1]=>[4,7,6,3,2,5,1]=>[7,5,4,1,6,3,2]=>111011 [7,6,4,3,5,1,2]=>[1,4,7,6,3,5,2]=>[1,7,5,2,6,4,3]=>011011 [7,6,4,3,5,2,1]=>[4,7,6,3,5,2,1]=>[7,6,4,1,5,3,2]=>111011 [7,6,4,5,1,2,3]=>[1,2,4,7,6,5,3]=>[1,2,7,3,6,5,4]=>001011 [7,6,4,5,1,3,2]=>[4,1,7,6,5,3,2]=>[2,7,6,1,5,4,3]=>011011 [7,6,4,5,2,1,3]=>[2,4,7,6,5,1,3]=>[6,1,7,2,5,4,3]=>101011 [7,6,4,5,2,3,1]=>[2,4,7,6,5,3,1]=>[7,1,6,2,5,4,3]=>101011 [7,6,4,5,3,1,2]=>[1,4,7,6,5,3,2]=>[1,7,6,2,5,4,3]=>011011 [7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1]=>[7,6,5,1,4,3,2]=>111011 [7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>000111 [7,6,5,1,2,4,3]=>[7,1,2,6,5,4,3]=>[2,3,7,6,5,4,1]=>001111 [7,6,5,1,3,2,4]=>[1,7,3,6,5,2,4]=>[1,6,3,7,5,4,2]=>010111 [7,6,5,1,3,4,2]=>[3,1,7,6,5,4,2]=>[2,7,1,6,5,4,3]=>010111 [7,6,5,1,4,2,3]=>[1,7,2,6,5,4,3]=>[1,3,7,6,5,4,2]=>001111 [7,6,5,1,4,3,2]=>[7,6,1,5,4,3,2]=>[3,7,6,5,4,2,1]=>011111 [7,6,5,2,1,3,4]=>[2,1,7,6,5,3,4]=>[2,1,6,7,5,4,3]=>100111 [7,6,5,2,1,4,3]=>[7,2,6,5,4,1,3]=>[6,2,7,5,4,3,1]=>101111 [7,6,5,2,3,1,4]=>[2,3,7,6,5,1,4]=>[6,1,2,7,5,4,3]=>100111 [7,6,5,2,3,4,1]=>[2,3,7,6,5,4,1]=>[7,1,2,6,5,4,3]=>100111 [7,6,5,2,4,1,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>101111 [7,6,5,2,4,3,1]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>101111 [7,6,5,3,1,2,4]=>[1,3,7,6,5,2,4]=>[1,6,2,7,5,4,3]=>010111 [7,6,5,3,1,4,2]=>[3,7,6,5,4,1,2]=>[6,7,1,5,4,3,2]=>010111 [7,6,5,3,2,1,4]=>[3,7,6,5,2,1,4]=>[6,5,1,7,4,3,2]=>110111 [7,6,5,3,2,4,1]=>[3,7,6,5,2,4,1]=>[7,5,1,6,4,3,2]=>110111 [7,6,5,3,4,1,2]=>[1,3,7,6,5,4,2]=>[1,7,2,6,5,4,3]=>010111 [7,6,5,3,4,2,1]=>[3,7,6,5,4,2,1]=>[7,6,1,5,4,3,2]=>110111 [7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>001111 [7,6,5,4,1,3,2]=>[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]=>011111 [7,6,5,4,2,1,3]=>[2,7,6,5,4,1,3]=>[6,1,7,5,4,3,2]=>101111 [7,6,5,4,2,3,1]=>[2,7,6,5,4,3,1]=>[7,1,6,5,4,3,2]=>101111 [7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>011111 [7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>111111 [8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>1111111 [1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>0000000 [2,3,7,8,1,4,5,6]=>[2,3,1,4,5,7,8,6]=>[3,1,2,4,5,8,6,7]=>1000010 [2,8,1,3,4,5,6,7]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>1000001 [3,4,5,6,7,1,8,2]=>[3,4,5,6,7,8,1,2]=>[7,8,1,2,3,4,5,6]=>0100000 [3,1,8,2,4,5,6,7]=>[3,1,2,4,5,8,6,7]=>[2,3,1,4,5,7,8,6]=>0100001 [5,1,6,2,7,3,8,4]=>[5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>0001000 [1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]=>[1,3,5,6,2,7,4,8]=>0001010 [8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>[8,4,7,2,6,5,3,1]=>1010111 [4,7,2,8,1,3,5,6]=>[2,4,1,3,7,5,8,6]=>[3,1,4,2,6,8,5,7]=>1010010 [4,2,5,3,7,1,8,6]=>[7,4,5,2,3,8,1,6]=>[7,4,5,2,3,8,1,6]=>1010010 [4,2,6,1,7,3,8,5]=>[6,4,7,2,8,1,3,5]=>[6,4,7,2,8,1,3,5]=>1010100 [8,7,6,3,5,1,4,2]=>[3,8,1,7,6,5,4,2]=>[3,8,1,7,6,5,4,2]=>0101111
Map
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
  • If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
  • If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
In either case, place a vertical line at the start of the word as well. Now, within each block between vertical lines, cyclically shift the entries one place to the right.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
  • $1$
  • $|1|4 \to 14$
  • $|14|2 \to 412$
  • $|4|1|2|5 \to 4125$
  • $|4|125|3 \to 45123.$
In total, this gives $\phi([1,4,2,5,3]) = [4,5,1,2,3]$.
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
Map
inverse
Description
Sends a permutation to its inverse.
Map
descent word
Description
The descent positions of a permutation as a binary word.
For a permutation $\pi$ of $n$ letters and each $1\leq i\leq n-1$ such that $\pi(i) > \pi(i+1)$ we set $w_i=1$, otherwise $w_i=0$.
Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation.