Identifier
Mp00326: Permutations —weak order rowmotion⟶ Permutations
Mp00131: Permutations —descent bottoms⟶ Binary words
Mp00104: Binary words —reverse⟶ Binary words
Images
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[1]=>[1]=>=> [1,2]=>[2,1]=>1=>1 [2,1]=>[1,2]=>0=>0 [1,2,3]=>[3,2,1]=>11=>11 [1,3,2]=>[2,3,1]=>10=>01 [2,1,3]=>[3,1,2]=>10=>01 [2,3,1]=>[2,1,3]=>10=>01 [3,1,2]=>[1,3,2]=>01=>10 [3,2,1]=>[1,2,3]=>00=>00 [1,2,3,4]=>[4,3,2,1]=>111=>111 [1,2,4,3]=>[3,4,2,1]=>110=>011 [1,3,2,4]=>[4,2,3,1]=>110=>011 [1,3,4,2]=>[3,2,4,1]=>110=>011 [1,4,2,3]=>[2,4,3,1]=>101=>101 [1,4,3,2]=>[2,3,4,1]=>100=>001 [2,1,3,4]=>[4,3,1,2]=>101=>101 [2,1,4,3]=>[3,4,1,2]=>100=>001 [2,3,1,4]=>[4,2,1,3]=>110=>011 [2,3,4,1]=>[3,2,1,4]=>110=>011 [2,4,1,3]=>[2,1,4,3]=>101=>101 [2,4,3,1]=>[2,1,3,4]=>100=>001 [3,1,2,4]=>[4,1,3,2]=>110=>011 [3,1,4,2]=>[1,3,2,4]=>010=>010 [3,2,1,4]=>[4,1,2,3]=>100=>001 [3,2,4,1]=>[2,3,1,4]=>100=>001 [3,4,1,2]=>[3,1,4,2]=>110=>011 [3,4,2,1]=>[3,1,2,4]=>100=>001 [4,1,2,3]=>[1,4,3,2]=>011=>110 [4,1,3,2]=>[1,4,2,3]=>010=>010 [4,2,1,3]=>[1,2,4,3]=>001=>100 [4,2,3,1]=>[2,4,1,3]=>100=>001 [4,3,1,2]=>[1,3,4,2]=>010=>010 [4,3,2,1]=>[1,2,3,4]=>000=>000 [1,2,3,4,5]=>[5,4,3,2,1]=>1111=>1111 [1,2,3,5,4]=>[4,5,3,2,1]=>1110=>0111 [1,2,4,3,5]=>[5,3,4,2,1]=>1110=>0111 [1,2,4,5,3]=>[4,3,5,2,1]=>1110=>0111 [1,2,5,3,4]=>[3,5,4,2,1]=>1101=>1011 [1,2,5,4,3]=>[3,4,5,2,1]=>1100=>0011 [1,3,2,4,5]=>[5,4,2,3,1]=>1101=>1011 [1,3,2,5,4]=>[4,5,2,3,1]=>1100=>0011 [1,3,4,2,5]=>[5,3,2,4,1]=>1110=>0111 [1,3,4,5,2]=>[4,3,2,5,1]=>1110=>0111 [1,3,5,2,4]=>[3,2,5,4,1]=>1101=>1011 [1,3,5,4,2]=>[3,2,4,5,1]=>1100=>0011 [1,4,2,3,5]=>[5,2,4,3,1]=>1110=>0111 [1,4,2,5,3]=>[2,4,3,5,1]=>1010=>0101 [1,4,3,2,5]=>[5,2,3,4,1]=>1100=>0011 [1,4,3,5,2]=>[3,4,2,5,1]=>1100=>0011 [1,4,5,2,3]=>[4,2,5,3,1]=>1110=>0111 [1,4,5,3,2]=>[4,2,3,5,1]=>1100=>0011 [1,5,2,3,4]=>[2,5,4,3,1]=>1011=>1101 [1,5,2,4,3]=>[2,5,3,4,1]=>1010=>0101 [1,5,3,2,4]=>[2,3,5,4,1]=>1001=>1001 [1,5,3,4,2]=>[3,5,2,4,1]=>1100=>0011 [1,5,4,2,3]=>[2,4,5,3,1]=>1010=>0101 [1,5,4,3,2]=>[2,3,4,5,1]=>1000=>0001 [2,1,3,4,5]=>[5,4,3,1,2]=>1011=>1101 [2,1,3,5,4]=>[4,5,3,1,2]=>1010=>0101 [2,1,4,3,5]=>[5,3,4,1,2]=>1010=>0101 [2,1,4,5,3]=>[4,3,5,1,2]=>1010=>0101 [2,1,5,3,4]=>[3,5,4,1,2]=>1001=>1001 [2,1,5,4,3]=>[3,4,5,1,2]=>1000=>0001 [2,3,1,4,5]=>[5,4,2,1,3]=>1101=>1011 [2,3,1,5,4]=>[4,5,2,1,3]=>1100=>0011 [2,3,4,1,5]=>[5,3,2,1,4]=>1110=>0111 [2,3,4,5,1]=>[4,3,2,1,5]=>1110=>0111 [2,3,5,1,4]=>[3,2,1,5,4]=>1101=>1011 [2,3,5,4,1]=>[3,2,1,4,5]=>1100=>0011 [2,4,1,3,5]=>[5,2,1,4,3]=>1110=>0111 [2,4,1,5,3]=>[2,1,4,3,5]=>1010=>0101 [2,4,3,1,5]=>[5,2,1,3,4]=>1100=>0011 [2,4,3,5,1]=>[3,4,2,1,5]=>1100=>0011 [2,4,5,1,3]=>[4,2,1,5,3]=>1110=>0111 [2,4,5,3,1]=>[4,2,1,3,5]=>1100=>0011 [2,5,1,3,4]=>[2,1,5,4,3]=>1011=>1101 [2,5,1,4,3]=>[2,1,5,3,4]=>1010=>0101 [2,5,3,1,4]=>[2,1,3,5,4]=>1001=>1001 [2,5,3,4,1]=>[3,5,2,1,4]=>1100=>0011 [2,5,4,1,3]=>[2,1,4,5,3]=>1010=>0101 [2,5,4,3,1]=>[2,1,3,4,5]=>1000=>0001 [3,1,2,4,5]=>[5,4,1,3,2]=>1101=>1011 [3,1,2,5,4]=>[4,5,1,3,2]=>1100=>0011 [3,1,4,2,5]=>[5,1,3,2,4]=>1100=>0011 [3,1,4,5,2]=>[4,1,3,2,5]=>1100=>0011 [3,1,5,2,4]=>[1,3,2,5,4]=>0101=>1010 [3,1,5,4,2]=>[1,3,2,4,5]=>0100=>0010 [3,2,1,4,5]=>[5,4,1,2,3]=>1001=>1001 [3,2,1,5,4]=>[4,5,1,2,3]=>1000=>0001 [3,2,4,1,5]=>[5,2,3,1,4]=>1100=>0011 [3,2,4,5,1]=>[4,2,3,1,5]=>1100=>0011 [3,2,5,1,4]=>[2,3,1,5,4]=>1001=>1001 [3,2,5,4,1]=>[2,3,1,4,5]=>1000=>0001 [3,4,1,2,5]=>[5,3,1,4,2]=>1110=>0111 [3,4,1,5,2]=>[3,1,4,2,5]=>1100=>0011 [3,4,2,1,5]=>[5,3,1,2,4]=>1010=>0101 [3,4,2,5,1]=>[3,2,4,1,5]=>1100=>0011 [3,4,5,1,2]=>[4,3,1,5,2]=>1110=>0111 [3,4,5,2,1]=>[4,3,1,2,5]=>1010=>0101 [3,5,1,2,4]=>[3,1,5,4,2]=>1101=>1011 [3,5,1,4,2]=>[3,1,5,2,4]=>1100=>0011 [3,5,2,1,4]=>[3,1,2,5,4]=>1001=>1001 [3,5,2,4,1]=>[3,2,5,1,4]=>1100=>0011 [3,5,4,1,2]=>[3,1,4,5,2]=>1100=>0011 [3,5,4,2,1]=>[3,1,2,4,5]=>1000=>0001 [4,1,2,3,5]=>[5,1,4,3,2]=>1110=>0111 [4,1,2,5,3]=>[1,4,3,5,2]=>0110=>0110 [4,1,3,2,5]=>[5,1,4,2,3]=>1100=>0011 [4,1,3,5,2]=>[1,4,3,2,5]=>0110=>0110 [4,1,5,2,3]=>[1,4,2,5,3]=>0110=>0110 [4,1,5,3,2]=>[1,4,2,3,5]=>0100=>0010 [4,2,1,3,5]=>[5,1,2,4,3]=>1010=>0101 [4,2,1,5,3]=>[1,2,4,3,5]=>0010=>0100 [4,2,3,1,5]=>[5,2,4,1,3]=>1100=>0011 [4,2,3,5,1]=>[2,4,3,1,5]=>1010=>0101 [4,2,5,1,3]=>[2,4,1,5,3]=>1010=>0101 [4,2,5,3,1]=>[2,4,1,3,5]=>1000=>0001 [4,3,1,2,5]=>[5,1,3,4,2]=>1100=>0011 [4,3,1,5,2]=>[1,3,4,2,5]=>0100=>0010 [4,3,2,1,5]=>[5,1,2,3,4]=>1000=>0001 [4,3,2,5,1]=>[2,3,4,1,5]=>1000=>0001 [4,3,5,1,2]=>[3,4,1,5,2]=>1100=>0011 [4,3,5,2,1]=>[3,4,1,2,5]=>1000=>0001 [4,5,1,2,3]=>[4,1,5,3,2]=>1110=>0111 [4,5,1,3,2]=>[4,1,5,2,3]=>1100=>0011 [4,5,2,1,3]=>[4,1,2,5,3]=>1010=>0101 [4,5,2,3,1]=>[4,2,5,1,3]=>1100=>0011 [4,5,3,1,2]=>[4,1,3,5,2]=>1100=>0011 [4,5,3,2,1]=>[4,1,2,3,5]=>1000=>0001 [5,1,2,3,4]=>[1,5,4,3,2]=>0111=>1110 [5,1,2,4,3]=>[1,5,3,4,2]=>0110=>0110 [5,1,3,2,4]=>[1,5,4,2,3]=>0101=>1010 [5,1,3,4,2]=>[1,5,3,2,4]=>0110=>0110 [5,1,4,2,3]=>[1,5,2,4,3]=>0110=>0110 [5,1,4,3,2]=>[1,5,2,3,4]=>0100=>0010 [5,2,1,3,4]=>[1,2,5,4,3]=>0011=>1100 [5,2,1,4,3]=>[1,2,5,3,4]=>0010=>0100 [5,2,3,1,4]=>[2,5,4,1,3]=>1001=>1001 [5,2,3,4,1]=>[2,5,3,1,4]=>1010=>0101 [5,2,4,1,3]=>[2,5,1,4,3]=>1010=>0101 [5,2,4,3,1]=>[2,5,1,3,4]=>1000=>0001 [5,3,1,2,4]=>[1,3,5,4,2]=>0101=>1010 [5,3,1,4,2]=>[1,3,5,2,4]=>0100=>0010 [5,3,2,1,4]=>[1,2,3,5,4]=>0001=>1000 [5,3,2,4,1]=>[2,3,5,1,4]=>1000=>0001 [5,3,4,1,2]=>[3,5,1,4,2]=>1100=>0011 [5,3,4,2,1]=>[3,5,1,2,4]=>1000=>0001 [5,4,1,2,3]=>[1,4,5,3,2]=>0110=>0110 [5,4,1,3,2]=>[1,4,5,2,3]=>0100=>0010 [5,4,2,1,3]=>[1,2,4,5,3]=>0010=>0100 [5,4,2,3,1]=>[2,4,5,1,3]=>1000=>0001 [5,4,3,1,2]=>[1,3,4,5,2]=>0100=>0010 [5,4,3,2,1]=>[1,2,3,4,5]=>0000=>0000 [1,2,3,4,5,6]=>[6,5,4,3,2,1]=>11111=>11111 [1,2,3,4,6,5]=>[5,6,4,3,2,1]=>11110=>01111 [1,2,3,5,4,6]=>[6,4,5,3,2,1]=>11110=>01111 [1,2,3,5,6,4]=>[5,4,6,3,2,1]=>11110=>01111 [1,2,3,6,4,5]=>[4,6,5,3,2,1]=>11101=>10111 [1,2,3,6,5,4]=>[4,5,6,3,2,1]=>11100=>00111 [1,2,4,3,5,6]=>[6,5,3,4,2,1]=>11101=>10111 [1,2,4,3,6,5]=>[5,6,3,4,2,1]=>11100=>00111 [1,2,4,5,3,6]=>[6,4,3,5,2,1]=>11110=>01111 [1,2,4,5,6,3]=>[5,4,3,6,2,1]=>11110=>01111 [1,2,4,6,3,5]=>[4,3,6,5,2,1]=>11101=>10111 [1,2,4,6,5,3]=>[4,3,5,6,2,1]=>11100=>00111 [1,2,5,3,4,6]=>[6,3,5,4,2,1]=>11110=>01111 [1,2,5,3,6,4]=>[3,5,4,6,2,1]=>11010=>01011 [1,2,5,4,3,6]=>[6,3,4,5,2,1]=>11100=>00111 [1,2,5,4,6,3]=>[4,5,3,6,2,1]=>11100=>00111 [1,2,5,6,3,4]=>[5,3,6,4,2,1]=>11110=>01111 [1,2,5,6,4,3]=>[5,3,4,6,2,1]=>11100=>00111 [1,2,6,3,4,5]=>[3,6,5,4,2,1]=>11011=>11011 [1,2,6,3,5,4]=>[3,6,4,5,2,1]=>11010=>01011 [1,2,6,4,3,5]=>[3,4,6,5,2,1]=>11001=>10011 [1,2,6,4,5,3]=>[4,6,3,5,2,1]=>11100=>00111 [1,2,6,5,3,4]=>[3,5,6,4,2,1]=>11010=>01011 [1,2,6,5,4,3]=>[3,4,5,6,2,1]=>11000=>00011 [1,3,2,4,5,6]=>[6,5,4,2,3,1]=>11011=>11011 [1,3,2,4,6,5]=>[5,6,4,2,3,1]=>11010=>01011 [1,3,2,5,4,6]=>[6,4,5,2,3,1]=>11010=>01011 [1,3,2,5,6,4]=>[5,4,6,2,3,1]=>11010=>01011 [1,3,2,6,4,5]=>[4,6,5,2,3,1]=>11001=>10011 [1,3,2,6,5,4]=>[4,5,6,2,3,1]=>11000=>00011 [1,3,4,2,5,6]=>[6,5,3,2,4,1]=>11101=>10111 [1,3,4,2,6,5]=>[5,6,3,2,4,1]=>11100=>00111 [1,3,4,5,2,6]=>[6,4,3,2,5,1]=>11110=>01111 [1,3,4,5,6,2]=>[5,4,3,2,6,1]=>11110=>01111 [1,3,4,6,2,5]=>[4,3,2,6,5,1]=>11101=>10111 [1,3,4,6,5,2]=>[4,3,2,5,6,1]=>11100=>00111 [1,3,5,2,4,6]=>[6,3,2,5,4,1]=>11110=>01111 [1,3,5,2,6,4]=>[3,2,5,4,6,1]=>11010=>01011 [1,3,5,4,2,6]=>[6,3,2,4,5,1]=>11100=>00111 [1,3,5,4,6,2]=>[4,5,3,2,6,1]=>11100=>00111 [1,3,5,6,2,4]=>[5,3,2,6,4,1]=>11110=>01111 [1,3,5,6,4,2]=>[5,3,2,4,6,1]=>11100=>00111 [1,3,6,2,4,5]=>[3,2,6,5,4,1]=>11011=>11011 [1,3,6,2,5,4]=>[3,2,6,4,5,1]=>11010=>01011 [1,3,6,4,2,5]=>[3,2,4,6,5,1]=>11001=>10011 [1,3,6,4,5,2]=>[4,6,3,2,5,1]=>11100=>00111 [1,3,6,5,2,4]=>[3,2,5,6,4,1]=>11010=>01011 [1,3,6,5,4,2]=>[3,2,4,5,6,1]=>11000=>00011 [1,4,2,3,5,6]=>[6,5,2,4,3,1]=>11101=>10111 [1,4,2,3,6,5]=>[5,6,2,4,3,1]=>11100=>00111 [1,4,2,5,3,6]=>[6,2,4,3,5,1]=>11100=>00111 [1,4,2,5,6,3]=>[5,2,4,3,6,1]=>11100=>00111 [1,4,2,6,3,5]=>[2,4,3,6,5,1]=>10101=>10101 [1,4,2,6,5,3]=>[2,4,3,5,6,1]=>10100=>00101 [1,4,3,2,5,6]=>[6,5,2,3,4,1]=>11001=>10011 [1,4,3,2,6,5]=>[5,6,2,3,4,1]=>11000=>00011 [1,4,3,5,2,6]=>[6,3,4,2,5,1]=>11100=>00111 [1,4,3,5,6,2]=>[5,3,4,2,6,1]=>11100=>00111 [1,4,3,6,2,5]=>[3,4,2,6,5,1]=>11001=>10011 [1,4,3,6,5,2]=>[3,4,2,5,6,1]=>11000=>00011 [1,4,5,2,3,6]=>[6,4,2,5,3,1]=>11110=>01111 [1,4,5,2,6,3]=>[4,2,5,3,6,1]=>11100=>00111 [1,4,5,3,2,6]=>[6,4,2,3,5,1]=>11010=>01011 [1,4,5,3,6,2]=>[4,3,5,2,6,1]=>11100=>00111 [1,4,5,6,2,3]=>[5,4,2,6,3,1]=>11110=>01111 [1,4,5,6,3,2]=>[5,4,2,3,6,1]=>11010=>01011 [1,4,6,2,3,5]=>[4,2,6,5,3,1]=>11101=>10111 [1,4,6,2,5,3]=>[4,2,6,3,5,1]=>11100=>00111 [1,4,6,3,2,5]=>[4,2,3,6,5,1]=>11001=>10011 [1,4,6,3,5,2]=>[4,3,6,2,5,1]=>11100=>00111 [1,4,6,5,2,3]=>[4,2,5,6,3,1]=>11100=>00111 [1,4,6,5,3,2]=>[4,2,3,5,6,1]=>11000=>00011 [1,5,2,3,4,6]=>[6,2,5,4,3,1]=>11110=>01111 [1,5,2,3,6,4]=>[2,5,4,6,3,1]=>10110=>01101 [1,5,2,4,3,6]=>[6,2,5,3,4,1]=>11100=>00111 [1,5,2,4,6,3]=>[2,5,4,3,6,1]=>10110=>01101 [1,5,2,6,3,4]=>[2,5,3,6,4,1]=>10110=>01101 [1,5,2,6,4,3]=>[2,5,3,4,6,1]=>10100=>00101 [1,5,3,2,4,6]=>[6,2,3,5,4,1]=>11010=>01011 [1,5,3,2,6,4]=>[2,3,5,4,6,1]=>10010=>01001 [1,5,3,4,2,6]=>[6,3,5,2,4,1]=>11100=>00111 [1,5,3,4,6,2]=>[3,5,4,2,6,1]=>11010=>01011 [1,5,3,6,2,4]=>[3,5,2,6,4,1]=>11010=>01011 [1,5,3,6,4,2]=>[3,5,2,4,6,1]=>11000=>00011 [1,5,4,2,3,6]=>[6,2,4,5,3,1]=>11100=>00111 [1,5,4,2,6,3]=>[2,4,5,3,6,1]=>10100=>00101 [1,5,4,3,2,6]=>[6,2,3,4,5,1]=>11000=>00011 [1,5,4,3,6,2]=>[3,4,5,2,6,1]=>11000=>00011 [1,5,4,6,2,3]=>[4,5,2,6,3,1]=>11100=>00111 [1,5,4,6,3,2]=>[4,5,2,3,6,1]=>11000=>00011 [1,5,6,2,3,4]=>[5,2,6,4,3,1]=>11110=>01111 [1,5,6,2,4,3]=>[5,2,6,3,4,1]=>11100=>00111 [1,5,6,3,2,4]=>[5,2,3,6,4,1]=>11010=>01011 [1,5,6,3,4,2]=>[5,3,6,2,4,1]=>11100=>00111 [1,5,6,4,2,3]=>[5,2,4,6,3,1]=>11100=>00111 [1,5,6,4,3,2]=>[5,2,3,4,6,1]=>11000=>00011 [1,6,2,3,4,5]=>[2,6,5,4,3,1]=>10111=>11101 [1,6,2,3,5,4]=>[2,6,4,5,3,1]=>10110=>01101 [1,6,2,4,3,5]=>[2,6,5,3,4,1]=>10101=>10101 [1,6,2,4,5,3]=>[2,6,4,3,5,1]=>10110=>01101 [1,6,2,5,3,4]=>[2,6,3,5,4,1]=>10110=>01101 [1,6,2,5,4,3]=>[2,6,3,4,5,1]=>10100=>00101 [1,6,3,2,4,5]=>[2,3,6,5,4,1]=>10011=>11001 [1,6,3,2,5,4]=>[2,3,6,4,5,1]=>10010=>01001 [1,6,3,4,2,5]=>[3,6,5,2,4,1]=>11001=>10011 [1,6,3,4,5,2]=>[3,6,4,2,5,1]=>11010=>01011 [1,6,3,5,2,4]=>[3,6,2,5,4,1]=>11010=>01011 [1,6,3,5,4,2]=>[3,6,2,4,5,1]=>11000=>00011 [1,6,4,2,3,5]=>[2,4,6,5,3,1]=>10101=>10101 [1,6,4,2,5,3]=>[2,4,6,3,5,1]=>10100=>00101 [1,6,4,3,2,5]=>[2,3,4,6,5,1]=>10001=>10001 [1,6,4,3,5,2]=>[3,4,6,2,5,1]=>11000=>00011 [1,6,4,5,2,3]=>[4,6,2,5,3,1]=>11100=>00111 [1,6,4,5,3,2]=>[4,6,2,3,5,1]=>11000=>00011 [1,6,5,2,3,4]=>[2,5,6,4,3,1]=>10110=>01101 [1,6,5,2,4,3]=>[2,5,6,3,4,1]=>10100=>00101 [1,6,5,3,2,4]=>[2,3,5,6,4,1]=>10010=>01001 [1,6,5,3,4,2]=>[3,5,6,2,4,1]=>11000=>00011 [1,6,5,4,2,3]=>[2,4,5,6,3,1]=>10100=>00101 [1,6,5,4,3,2]=>[2,3,4,5,6,1]=>10000=>00001 [2,1,3,4,5,6]=>[6,5,4,3,1,2]=>10111=>11101 [2,1,3,4,6,5]=>[5,6,4,3,1,2]=>10110=>01101 [2,1,3,5,4,6]=>[6,4,5,3,1,2]=>10110=>01101 [2,1,3,5,6,4]=>[5,4,6,3,1,2]=>10110=>01101 [2,1,3,6,4,5]=>[4,6,5,3,1,2]=>10101=>10101 [2,1,3,6,5,4]=>[4,5,6,3,1,2]=>10100=>00101 [2,1,4,3,5,6]=>[6,5,3,4,1,2]=>10101=>10101 [2,1,4,3,6,5]=>[5,6,3,4,1,2]=>10100=>00101 [2,1,4,5,3,6]=>[6,4,3,5,1,2]=>10110=>01101 [2,1,4,5,6,3]=>[5,4,3,6,1,2]=>10110=>01101 [2,1,4,6,3,5]=>[4,3,6,5,1,2]=>10101=>10101 [2,1,4,6,5,3]=>[4,3,5,6,1,2]=>10100=>00101 [2,1,5,3,4,6]=>[6,3,5,4,1,2]=>10110=>01101 [2,1,5,3,6,4]=>[3,5,4,6,1,2]=>10010=>01001 [2,1,5,4,3,6]=>[6,3,4,5,1,2]=>10100=>00101 [2,1,5,4,6,3]=>[4,5,3,6,1,2]=>10100=>00101 [2,1,5,6,3,4]=>[5,3,6,4,1,2]=>10110=>01101 [2,1,5,6,4,3]=>[5,3,4,6,1,2]=>10100=>00101 [2,1,6,3,4,5]=>[3,6,5,4,1,2]=>10011=>11001 [2,1,6,3,5,4]=>[3,6,4,5,1,2]=>10010=>01001 [2,1,6,4,3,5]=>[3,4,6,5,1,2]=>10001=>10001 [2,1,6,4,5,3]=>[4,6,3,5,1,2]=>10100=>00101 [2,1,6,5,3,4]=>[3,5,6,4,1,2]=>10010=>01001 [2,1,6,5,4,3]=>[3,4,5,6,1,2]=>10000=>00001 [2,3,1,4,5,6]=>[6,5,4,2,1,3]=>11011=>11011 [2,3,1,4,6,5]=>[5,6,4,2,1,3]=>11010=>01011 [2,3,1,5,4,6]=>[6,4,5,2,1,3]=>11010=>01011 [2,3,1,5,6,4]=>[5,4,6,2,1,3]=>11010=>01011 [2,3,1,6,4,5]=>[4,6,5,2,1,3]=>11001=>10011 [2,3,1,6,5,4]=>[4,5,6,2,1,3]=>11000=>00011 [2,3,4,1,5,6]=>[6,5,3,2,1,4]=>11101=>10111 [2,3,4,1,6,5]=>[5,6,3,2,1,4]=>11100=>00111 [2,3,4,5,1,6]=>[6,4,3,2,1,5]=>11110=>01111 [2,3,4,5,6,1]=>[5,4,3,2,1,6]=>11110=>01111 [2,3,4,6,1,5]=>[4,3,2,1,6,5]=>11101=>10111 [2,3,4,6,5,1]=>[4,3,2,1,5,6]=>11100=>00111 [2,3,5,1,4,6]=>[6,3,2,1,5,4]=>11110=>01111 [2,3,5,1,6,4]=>[3,2,1,5,4,6]=>11010=>01011 [2,3,5,4,1,6]=>[6,3,2,1,4,5]=>11100=>00111 [2,3,5,4,6,1]=>[4,5,3,2,1,6]=>11100=>00111 [2,3,5,6,1,4]=>[5,3,2,1,6,4]=>11110=>01111 [2,3,5,6,4,1]=>[5,3,2,1,4,6]=>11100=>00111 [2,3,6,1,4,5]=>[3,2,1,6,5,4]=>11011=>11011 [2,3,6,1,5,4]=>[3,2,1,6,4,5]=>11010=>01011 [2,3,6,4,1,5]=>[3,2,1,4,6,5]=>11001=>10011 [2,3,6,4,5,1]=>[4,6,3,2,1,5]=>11100=>00111 [2,3,6,5,1,4]=>[3,2,1,5,6,4]=>11010=>01011 [2,3,6,5,4,1]=>[3,2,1,4,5,6]=>11000=>00011 [2,4,1,3,5,6]=>[6,5,2,1,4,3]=>11101=>10111 [2,4,1,3,6,5]=>[5,6,2,1,4,3]=>11100=>00111 [2,4,1,5,3,6]=>[6,2,1,4,3,5]=>11100=>00111 [2,4,1,5,6,3]=>[5,2,1,4,3,6]=>11100=>00111 [2,4,1,6,3,5]=>[2,1,4,3,6,5]=>10101=>10101 [2,4,1,6,5,3]=>[2,1,4,3,5,6]=>10100=>00101 [2,4,3,1,5,6]=>[6,5,2,1,3,4]=>11001=>10011 [2,4,3,1,6,5]=>[5,6,2,1,3,4]=>11000=>00011 [2,4,3,5,1,6]=>[6,3,4,2,1,5]=>11100=>00111 [2,4,3,5,6,1]=>[5,3,4,2,1,6]=>11100=>00111 [2,4,3,6,1,5]=>[3,4,2,1,6,5]=>11001=>10011 [2,4,3,6,5,1]=>[3,4,2,1,5,6]=>11000=>00011 [2,4,5,1,3,6]=>[6,4,2,1,5,3]=>11110=>01111 [2,4,5,1,6,3]=>[4,2,1,5,3,6]=>11100=>00111 [2,4,5,3,1,6]=>[6,4,2,1,3,5]=>11010=>01011 [2,4,5,3,6,1]=>[4,3,5,2,1,6]=>11100=>00111 [2,4,5,6,1,3]=>[5,4,2,1,6,3]=>11110=>01111 [2,4,5,6,3,1]=>[5,4,2,1,3,6]=>11010=>01011 [2,4,6,1,3,5]=>[4,2,1,6,5,3]=>11101=>10111 [2,4,6,1,5,3]=>[4,2,1,6,3,5]=>11100=>00111 [2,4,6,3,1,5]=>[4,2,1,3,6,5]=>11001=>10011 [2,4,6,3,5,1]=>[4,3,6,2,1,5]=>11100=>00111 [2,4,6,5,1,3]=>[4,2,1,5,6,3]=>11100=>00111 [2,4,6,5,3,1]=>[4,2,1,3,5,6]=>11000=>00011 [2,5,1,3,4,6]=>[6,2,1,5,4,3]=>11110=>01111 [2,5,1,3,6,4]=>[2,1,5,4,6,3]=>10110=>01101 [2,5,1,4,3,6]=>[6,2,1,5,3,4]=>11100=>00111 [2,5,1,4,6,3]=>[2,1,5,4,3,6]=>10110=>01101 [2,5,1,6,3,4]=>[2,1,5,3,6,4]=>10110=>01101 [2,5,1,6,4,3]=>[2,1,5,3,4,6]=>10100=>00101 [2,5,3,1,4,6]=>[6,2,1,3,5,4]=>11010=>01011 [2,5,3,1,6,4]=>[2,1,3,5,4,6]=>10010=>01001 [2,5,3,4,1,6]=>[6,3,5,2,1,4]=>11100=>00111 [2,5,3,4,6,1]=>[3,5,4,2,1,6]=>11010=>01011 [2,5,3,6,1,4]=>[3,5,2,1,6,4]=>11010=>01011 [2,5,3,6,4,1]=>[3,5,2,1,4,6]=>11000=>00011 [2,5,4,1,3,6]=>[6,2,1,4,5,3]=>11100=>00111 [2,5,4,1,6,3]=>[2,1,4,5,3,6]=>10100=>00101 [2,5,4,3,1,6]=>[6,2,1,3,4,5]=>11000=>00011 [2,5,4,3,6,1]=>[3,4,5,2,1,6]=>11000=>00011 [2,5,4,6,1,3]=>[4,5,2,1,6,3]=>11100=>00111 [2,5,4,6,3,1]=>[4,5,2,1,3,6]=>11000=>00011 [2,5,6,1,3,4]=>[5,2,1,6,4,3]=>11110=>01111 [2,5,6,1,4,3]=>[5,2,1,6,3,4]=>11100=>00111 [2,5,6,3,1,4]=>[5,2,1,3,6,4]=>11010=>01011 [2,5,6,3,4,1]=>[5,3,6,2,1,4]=>11100=>00111 [2,5,6,4,1,3]=>[5,2,1,4,6,3]=>11100=>00111 [2,5,6,4,3,1]=>[5,2,1,3,4,6]=>11000=>00011 [2,6,1,3,4,5]=>[2,1,6,5,4,3]=>10111=>11101 [2,6,1,3,5,4]=>[2,1,6,4,5,3]=>10110=>01101 [2,6,1,4,3,5]=>[2,1,6,5,3,4]=>10101=>10101 [2,6,1,4,5,3]=>[2,1,6,4,3,5]=>10110=>01101 [2,6,1,5,3,4]=>[2,1,6,3,5,4]=>10110=>01101 [2,6,1,5,4,3]=>[2,1,6,3,4,5]=>10100=>00101 [2,6,3,1,4,5]=>[2,1,3,6,5,4]=>10011=>11001 [2,6,3,1,5,4]=>[2,1,3,6,4,5]=>10010=>01001 [2,6,3,4,1,5]=>[3,6,5,2,1,4]=>11001=>10011 [2,6,3,4,5,1]=>[3,6,4,2,1,5]=>11010=>01011 [2,6,3,5,1,4]=>[3,6,2,1,5,4]=>11010=>01011 [2,6,3,5,4,1]=>[3,6,2,1,4,5]=>11000=>00011 [2,6,4,1,3,5]=>[2,1,4,6,5,3]=>10101=>10101 [2,6,4,1,5,3]=>[2,1,4,6,3,5]=>10100=>00101 [2,6,4,3,1,5]=>[2,1,3,4,6,5]=>10001=>10001 [2,6,4,3,5,1]=>[3,4,6,2,1,5]=>11000=>00011 [2,6,4,5,1,3]=>[4,6,2,1,5,3]=>11100=>00111 [2,6,4,5,3,1]=>[4,6,2,1,3,5]=>11000=>00011 [2,6,5,1,3,4]=>[2,1,5,6,4,3]=>10110=>01101 [2,6,5,1,4,3]=>[2,1,5,6,3,4]=>10100=>00101 [2,6,5,3,1,4]=>[2,1,3,5,6,4]=>10010=>01001 [2,6,5,3,4,1]=>[3,5,6,2,1,4]=>11000=>00011 [2,6,5,4,1,3]=>[2,1,4,5,6,3]=>10100=>00101 [2,6,5,4,3,1]=>[2,1,3,4,5,6]=>10000=>00001 [3,1,2,4,5,6]=>[6,5,4,1,3,2]=>11011=>11011 [3,1,2,4,6,5]=>[5,6,4,1,3,2]=>11010=>01011 [3,1,2,5,4,6]=>[6,4,5,1,3,2]=>11010=>01011 [3,1,2,5,6,4]=>[5,4,6,1,3,2]=>11010=>01011 [3,1,2,6,4,5]=>[4,6,5,1,3,2]=>11001=>10011 [3,1,2,6,5,4]=>[4,5,6,1,3,2]=>11000=>00011 [3,1,4,2,5,6]=>[6,5,1,3,2,4]=>11001=>10011 [3,1,4,2,6,5]=>[5,6,1,3,2,4]=>11000=>00011 [3,1,4,5,2,6]=>[6,4,1,3,2,5]=>11010=>01011 [3,1,4,5,6,2]=>[5,4,1,3,2,6]=>11010=>01011 [3,1,4,6,2,5]=>[4,1,3,2,6,5]=>11001=>10011 [3,1,4,6,5,2]=>[4,1,3,2,5,6]=>11000=>00011 [3,1,5,2,4,6]=>[6,1,3,2,5,4]=>11010=>01011 [3,1,5,2,6,4]=>[1,3,2,5,4,6]=>01010=>01010 [3,1,5,4,2,6]=>[6,1,3,2,4,5]=>11000=>00011 [3,1,5,4,6,2]=>[4,5,1,3,2,6]=>11000=>00011 [3,1,5,6,2,4]=>[5,1,3,2,6,4]=>11010=>01011 [3,1,5,6,4,2]=>[5,1,3,2,4,6]=>11000=>00011 [3,1,6,2,4,5]=>[1,3,2,6,5,4]=>01011=>11010 [3,1,6,2,5,4]=>[1,3,2,6,4,5]=>01010=>01010 [3,1,6,4,2,5]=>[1,3,2,4,6,5]=>01001=>10010 [3,1,6,4,5,2]=>[4,6,1,3,2,5]=>11000=>00011 [3,1,6,5,2,4]=>[1,3,2,5,6,4]=>01010=>01010 [3,1,6,5,4,2]=>[1,3,2,4,5,6]=>01000=>00010 [3,2,1,4,5,6]=>[6,5,4,1,2,3]=>10011=>11001 [3,2,1,4,6,5]=>[5,6,4,1,2,3]=>10010=>01001 [3,2,1,5,4,6]=>[6,4,5,1,2,3]=>10010=>01001 [3,2,1,5,6,4]=>[5,4,6,1,2,3]=>10010=>01001 [3,2,1,6,4,5]=>[4,6,5,1,2,3]=>10001=>10001 [3,2,1,6,5,4]=>[4,5,6,1,2,3]=>10000=>00001 [3,2,4,1,5,6]=>[6,5,2,3,1,4]=>11001=>10011 [3,2,4,1,6,5]=>[5,6,2,3,1,4]=>11000=>00011 [3,2,4,5,1,6]=>[6,4,2,3,1,5]=>11010=>01011 [3,2,4,5,6,1]=>[5,4,2,3,1,6]=>11010=>01011 [3,2,4,6,1,5]=>[4,2,3,1,6,5]=>11001=>10011 [3,2,4,6,5,1]=>[4,2,3,1,5,6]=>11000=>00011 [3,2,5,1,4,6]=>[6,2,3,1,5,4]=>11010=>01011 [3,2,5,1,6,4]=>[2,3,1,5,4,6]=>10010=>01001 [3,2,5,4,1,6]=>[6,2,3,1,4,5]=>11000=>00011 [3,2,5,4,6,1]=>[4,5,2,3,1,6]=>11000=>00011 [3,2,5,6,1,4]=>[5,2,3,1,6,4]=>11010=>01011 [3,2,5,6,4,1]=>[5,2,3,1,4,6]=>11000=>00011 [3,2,6,1,4,5]=>[2,3,1,6,5,4]=>10011=>11001 [3,2,6,1,5,4]=>[2,3,1,6,4,5]=>10010=>01001 [3,2,6,4,1,5]=>[2,3,1,4,6,5]=>10001=>10001 [3,2,6,4,5,1]=>[4,6,2,3,1,5]=>11000=>00011 [3,2,6,5,1,4]=>[2,3,1,5,6,4]=>10010=>01001 [3,2,6,5,4,1]=>[2,3,1,4,5,6]=>10000=>00001 [3,4,1,2,5,6]=>[6,5,3,1,4,2]=>11101=>10111 [3,4,1,2,6,5]=>[5,6,3,1,4,2]=>11100=>00111 [3,4,1,5,2,6]=>[6,3,1,4,2,5]=>11100=>00111 [3,4,1,5,6,2]=>[5,3,1,4,2,6]=>11100=>00111 [3,4,1,6,2,5]=>[3,1,4,2,6,5]=>11001=>10011 [3,4,1,6,5,2]=>[3,1,4,2,5,6]=>11000=>00011 [3,4,2,1,5,6]=>[6,5,3,1,2,4]=>10101=>10101 [3,4,2,1,6,5]=>[5,6,3,1,2,4]=>10100=>00101 [3,4,2,5,1,6]=>[6,3,2,4,1,5]=>11100=>00111 [3,4,2,5,6,1]=>[5,3,2,4,1,6]=>11100=>00111 [3,4,2,6,1,5]=>[3,2,4,1,6,5]=>11001=>10011 [3,4,2,6,5,1]=>[3,2,4,1,5,6]=>11000=>00011 [3,4,5,1,2,6]=>[6,4,3,1,5,2]=>11110=>01111 [3,4,5,1,6,2]=>[4,3,1,5,2,6]=>11100=>00111 [3,4,5,2,1,6]=>[6,4,3,1,2,5]=>10110=>01101 [3,4,5,2,6,1]=>[4,3,2,5,1,6]=>11100=>00111 [3,4,5,6,1,2]=>[5,4,3,1,6,2]=>11110=>01111 [3,4,5,6,2,1]=>[5,4,3,1,2,6]=>10110=>01101 [3,4,6,1,2,5]=>[4,3,1,6,5,2]=>11101=>10111 [3,4,6,1,5,2]=>[4,3,1,6,2,5]=>11100=>00111 [3,4,6,2,1,5]=>[4,3,1,2,6,5]=>10101=>10101 [3,4,6,2,5,1]=>[4,3,2,6,1,5]=>11100=>00111 [3,4,6,5,1,2]=>[4,3,1,5,6,2]=>11100=>00111 [3,4,6,5,2,1]=>[4,3,1,2,5,6]=>10100=>00101 [3,5,1,2,4,6]=>[6,3,1,5,4,2]=>11110=>01111 [3,5,1,2,6,4]=>[3,1,5,4,6,2]=>11010=>01011 [3,5,1,4,2,6]=>[6,3,1,5,2,4]=>11100=>00111 [3,5,1,4,6,2]=>[3,1,5,4,2,6]=>11010=>01011 [3,5,1,6,2,4]=>[3,1,5,2,6,4]=>11010=>01011 [3,5,1,6,4,2]=>[3,1,5,2,4,6]=>11000=>00011 [3,5,2,1,4,6]=>[6,3,1,2,5,4]=>10110=>01101 [3,5,2,1,6,4]=>[3,1,2,5,4,6]=>10010=>01001 [3,5,2,4,1,6]=>[6,3,2,5,1,4]=>11100=>00111 [3,5,2,4,6,1]=>[3,2,5,4,1,6]=>11010=>01011 [3,5,2,6,1,4]=>[3,2,5,1,6,4]=>11010=>01011 [3,5,2,6,4,1]=>[3,2,5,1,4,6]=>11000=>00011 [3,5,4,1,2,6]=>[6,3,1,4,5,2]=>11100=>00111 [3,5,4,1,6,2]=>[3,1,4,5,2,6]=>11000=>00011 [3,5,4,2,1,6]=>[6,3,1,2,4,5]=>10100=>00101 [3,5,4,2,6,1]=>[3,2,4,5,1,6]=>11000=>00011 [3,5,4,6,1,2]=>[4,5,3,1,6,2]=>11100=>00111 [3,5,4,6,2,1]=>[4,5,3,1,2,6]=>10100=>00101 [3,5,6,1,2,4]=>[5,3,1,6,4,2]=>11110=>01111 [3,5,6,1,4,2]=>[5,3,1,6,2,4]=>11100=>00111 [3,5,6,2,1,4]=>[5,3,1,2,6,4]=>10110=>01101 [3,5,6,2,4,1]=>[5,3,2,6,1,4]=>11100=>00111 [3,5,6,4,1,2]=>[5,3,1,4,6,2]=>11100=>00111 [3,5,6,4,2,1]=>[5,3,1,2,4,6]=>10100=>00101 [3,6,1,2,4,5]=>[3,1,6,5,4,2]=>11011=>11011 [3,6,1,2,5,4]=>[3,1,6,4,5,2]=>11010=>01011 [3,6,1,4,2,5]=>[3,1,6,5,2,4]=>11001=>10011 [3,6,1,4,5,2]=>[3,1,6,4,2,5]=>11010=>01011 [3,6,1,5,2,4]=>[3,1,6,2,5,4]=>11010=>01011 [3,6,1,5,4,2]=>[3,1,6,2,4,5]=>11000=>00011 [3,6,2,1,4,5]=>[3,1,2,6,5,4]=>10011=>11001 [3,6,2,1,5,4]=>[3,1,2,6,4,5]=>10010=>01001 [3,6,2,4,1,5]=>[3,2,6,5,1,4]=>11001=>10011 [3,6,2,4,5,1]=>[3,2,6,4,1,5]=>11010=>01011 [3,6,2,5,1,4]=>[3,2,6,1,5,4]=>11010=>01011 [3,6,2,5,4,1]=>[3,2,6,1,4,5]=>11000=>00011 [3,6,4,1,2,5]=>[3,1,4,6,5,2]=>11001=>10011 [3,6,4,1,5,2]=>[3,1,4,6,2,5]=>11000=>00011 [3,6,4,2,1,5]=>[3,1,2,4,6,5]=>10001=>10001 [3,6,4,2,5,1]=>[3,2,4,6,1,5]=>11000=>00011 [3,6,4,5,1,2]=>[4,6,3,1,5,2]=>11100=>00111 [3,6,4,5,2,1]=>[4,6,3,1,2,5]=>10100=>00101 [3,6,5,1,2,4]=>[3,1,5,6,4,2]=>11010=>01011 [3,6,5,1,4,2]=>[3,1,5,6,2,4]=>11000=>00011 [3,6,5,2,1,4]=>[3,1,2,5,6,4]=>10010=>01001 [3,6,5,2,4,1]=>[3,2,5,6,1,4]=>11000=>00011 [3,6,5,4,1,2]=>[3,1,4,5,6,2]=>11000=>00011 [3,6,5,4,2,1]=>[3,1,2,4,5,6]=>10000=>00001 [4,1,2,3,5,6]=>[6,5,1,4,3,2]=>11101=>10111 [4,1,2,3,6,5]=>[5,6,1,4,3,2]=>11100=>00111 [4,1,2,5,3,6]=>[6,1,4,3,5,2]=>11100=>00111 [4,1,2,5,6,3]=>[5,1,4,3,6,2]=>11100=>00111 [4,1,2,6,3,5]=>[1,4,3,6,5,2]=>01101=>10110 [4,1,2,6,5,3]=>[1,4,3,5,6,2]=>01100=>00110 [4,1,3,2,5,6]=>[6,5,1,4,2,3]=>11001=>10011 [4,1,3,2,6,5]=>[5,6,1,4,2,3]=>11000=>00011 [4,1,3,5,2,6]=>[6,1,4,3,2,5]=>11100=>00111 [4,1,3,5,6,2]=>[5,1,4,3,2,6]=>11100=>00111 [4,1,3,6,2,5]=>[1,4,3,2,6,5]=>01101=>10110 [4,1,3,6,5,2]=>[1,4,3,2,5,6]=>01100=>00110 [4,1,5,2,3,6]=>[6,1,4,2,5,3]=>11100=>00111 [4,1,5,2,6,3]=>[1,4,2,5,3,6]=>01100=>00110 [4,1,5,3,2,6]=>[6,1,4,2,3,5]=>11000=>00011 [4,1,5,3,6,2]=>[1,4,3,5,2,6]=>01100=>00110 [4,1,5,6,2,3]=>[5,1,4,2,6,3]=>11100=>00111 [4,1,5,6,3,2]=>[5,1,4,2,3,6]=>11000=>00011 [4,1,6,2,3,5]=>[1,4,2,6,5,3]=>01101=>10110 [4,1,6,2,5,3]=>[1,4,2,6,3,5]=>01100=>00110 [4,1,6,3,2,5]=>[1,4,2,3,6,5]=>01001=>10010 [4,1,6,3,5,2]=>[1,4,3,6,2,5]=>01100=>00110 [4,1,6,5,2,3]=>[1,4,2,5,6,3]=>01100=>00110 [4,1,6,5,3,2]=>[1,4,2,3,5,6]=>01000=>00010 [4,2,1,3,5,6]=>[6,5,1,2,4,3]=>10101=>10101 [4,2,1,3,6,5]=>[5,6,1,2,4,3]=>10100=>00101 [4,2,1,5,3,6]=>[6,1,2,4,3,5]=>10100=>00101 [4,2,1,5,6,3]=>[5,1,2,4,3,6]=>10100=>00101 [4,2,1,6,3,5]=>[1,2,4,3,6,5]=>00101=>10100 [4,2,1,6,5,3]=>[1,2,4,3,5,6]=>00100=>00100 [4,2,3,1,5,6]=>[6,5,2,4,1,3]=>11001=>10011 [4,2,3,1,6,5]=>[5,6,2,4,1,3]=>11000=>00011 [4,2,3,5,1,6]=>[6,2,4,3,1,5]=>11100=>00111 [4,2,3,5,6,1]=>[5,2,4,3,1,6]=>11100=>00111 [4,2,3,6,1,5]=>[2,4,3,1,6,5]=>10101=>10101 [4,2,3,6,5,1]=>[2,4,3,1,5,6]=>10100=>00101 [4,2,5,1,3,6]=>[6,2,4,1,5,3]=>11100=>00111 [4,2,5,1,6,3]=>[2,4,1,5,3,6]=>10100=>00101 [4,2,5,3,1,6]=>[6,2,4,1,3,5]=>11000=>00011 [4,2,5,3,6,1]=>[2,4,3,5,1,6]=>10100=>00101 [4,2,5,6,1,3]=>[5,2,4,1,6,3]=>11100=>00111 [4,2,5,6,3,1]=>[5,2,4,1,3,6]=>11000=>00011 [4,2,6,1,3,5]=>[2,4,1,6,5,3]=>10101=>10101 [4,2,6,1,5,3]=>[2,4,1,6,3,5]=>10100=>00101 [4,2,6,3,1,5]=>[2,4,1,3,6,5]=>10001=>10001 [4,2,6,3,5,1]=>[2,4,3,6,1,5]=>10100=>00101 [4,2,6,5,1,3]=>[2,4,1,5,6,3]=>10100=>00101 [4,2,6,5,3,1]=>[2,4,1,3,5,6]=>10000=>00001 [4,3,1,2,5,6]=>[6,5,1,3,4,2]=>11001=>10011 [4,3,1,2,6,5]=>[5,6,1,3,4,2]=>11000=>00011 [4,3,1,5,2,6]=>[6,1,3,4,2,5]=>11000=>00011 [4,3,1,5,6,2]=>[5,1,3,4,2,6]=>11000=>00011 [4,3,1,6,2,5]=>[1,3,4,2,6,5]=>01001=>10010 [4,3,1,6,5,2]=>[1,3,4,2,5,6]=>01000=>00010 [4,3,2,1,5,6]=>[6,5,1,2,3,4]=>10001=>10001 [4,3,2,1,6,5]=>[5,6,1,2,3,4]=>10000=>00001 [4,3,2,5,1,6]=>[6,2,3,4,1,5]=>11000=>00011 [4,3,2,5,6,1]=>[5,2,3,4,1,6]=>11000=>00011 [4,3,2,6,1,5]=>[2,3,4,1,6,5]=>10001=>10001 [4,3,2,6,5,1]=>[2,3,4,1,5,6]=>10000=>00001 [4,3,5,1,2,6]=>[6,3,4,1,5,2]=>11100=>00111 [4,3,5,1,6,2]=>[3,4,1,5,2,6]=>11000=>00011 [4,3,5,2,1,6]=>[6,3,4,1,2,5]=>10100=>00101 [4,3,5,2,6,1]=>[3,4,2,5,1,6]=>11000=>00011 [4,3,5,6,1,2]=>[5,3,4,1,6,2]=>11100=>00111 [4,3,5,6,2,1]=>[5,3,4,1,2,6]=>10100=>00101 [4,3,6,1,2,5]=>[3,4,1,6,5,2]=>11001=>10011 [4,3,6,1,5,2]=>[3,4,1,6,2,5]=>11000=>00011 [4,3,6,2,1,5]=>[3,4,1,2,6,5]=>10001=>10001 [4,3,6,2,5,1]=>[3,4,2,6,1,5]=>11000=>00011 [4,3,6,5,1,2]=>[3,4,1,5,6,2]=>11000=>00011 [4,3,6,5,2,1]=>[3,4,1,2,5,6]=>10000=>00001 [4,5,1,2,3,6]=>[6,4,1,5,3,2]=>11110=>01111 [4,5,1,2,6,3]=>[4,1,5,3,6,2]=>11100=>00111 [4,5,1,3,2,6]=>[6,4,1,5,2,3]=>11010=>01011 [4,5,1,3,6,2]=>[4,1,5,3,2,6]=>11100=>00111 [4,5,1,6,2,3]=>[4,1,5,2,6,3]=>11100=>00111 [4,5,1,6,3,2]=>[4,1,5,2,3,6]=>11000=>00011 [4,5,2,1,3,6]=>[6,4,1,2,5,3]=>10110=>01101 [4,5,2,1,6,3]=>[4,1,2,5,3,6]=>10100=>00101 [4,5,2,3,1,6]=>[6,4,2,5,1,3]=>11010=>01011 [4,5,2,3,6,1]=>[4,2,5,3,1,6]=>11100=>00111 [4,5,2,6,1,3]=>[4,2,5,1,6,3]=>11100=>00111 [4,5,2,6,3,1]=>[4,2,5,1,3,6]=>11000=>00011 [4,5,3,1,2,6]=>[6,4,1,3,5,2]=>11010=>01011 [4,5,3,1,6,2]=>[4,1,3,5,2,6]=>11000=>00011 [4,5,3,2,1,6]=>[6,4,1,2,3,5]=>10010=>01001 [4,5,3,2,6,1]=>[4,2,3,5,1,6]=>11000=>00011 [4,5,3,6,1,2]=>[4,3,5,1,6,2]=>11100=>00111 [4,5,3,6,2,1]=>[4,3,5,1,2,6]=>10100=>00101 [4,5,6,1,2,3]=>[5,4,1,6,3,2]=>11110=>01111 [4,5,6,1,3,2]=>[5,4,1,6,2,3]=>11010=>01011 [4,5,6,2,1,3]=>[5,4,1,2,6,3]=>10110=>01101 [4,5,6,2,3,1]=>[5,4,2,6,1,3]=>11010=>01011 [4,5,6,3,1,2]=>[5,4,1,3,6,2]=>11010=>01011 [4,5,6,3,2,1]=>[5,4,1,2,3,6]=>10010=>01001 [4,6,1,2,3,5]=>[4,1,6,5,3,2]=>11101=>10111 [4,6,1,2,5,3]=>[4,1,6,3,5,2]=>11100=>00111 [4,6,1,3,2,5]=>[4,1,6,5,2,3]=>11001=>10011 [4,6,1,3,5,2]=>[4,1,6,3,2,5]=>11100=>00111 [4,6,1,5,2,3]=>[4,1,6,2,5,3]=>11100=>00111 [4,6,1,5,3,2]=>[4,1,6,2,3,5]=>11000=>00011 [4,6,2,1,3,5]=>[4,1,2,6,5,3]=>10101=>10101 [4,6,2,1,5,3]=>[4,1,2,6,3,5]=>10100=>00101 [4,6,2,3,1,5]=>[4,2,6,5,1,3]=>11001=>10011 [4,6,2,3,5,1]=>[4,2,6,3,1,5]=>11100=>00111 [4,6,2,5,1,3]=>[4,2,6,1,5,3]=>11100=>00111 [4,6,2,5,3,1]=>[4,2,6,1,3,5]=>11000=>00011 [4,6,3,1,2,5]=>[4,1,3,6,5,2]=>11001=>10011 [4,6,3,1,5,2]=>[4,1,3,6,2,5]=>11000=>00011 [4,6,3,2,1,5]=>[4,1,2,3,6,5]=>10001=>10001 [4,6,3,2,5,1]=>[4,2,3,6,1,5]=>11000=>00011 [4,6,3,5,1,2]=>[4,3,6,1,5,2]=>11100=>00111 [4,6,3,5,2,1]=>[4,3,6,1,2,5]=>10100=>00101 [4,6,5,1,2,3]=>[4,1,5,6,3,2]=>11100=>00111 [4,6,5,1,3,2]=>[4,1,5,6,2,3]=>11000=>00011 [4,6,5,2,1,3]=>[4,1,2,5,6,3]=>10100=>00101 [4,6,5,2,3,1]=>[4,2,5,6,1,3]=>11000=>00011 [4,6,5,3,1,2]=>[4,1,3,5,6,2]=>11000=>00011 [4,6,5,3,2,1]=>[4,1,2,3,5,6]=>10000=>00001 [5,1,2,3,4,6]=>[6,1,5,4,3,2]=>11110=>01111 [5,1,2,3,6,4]=>[1,5,4,6,3,2]=>01110=>01110 [5,1,2,4,3,6]=>[6,1,5,3,4,2]=>11100=>00111 [5,1,2,4,6,3]=>[1,5,4,3,6,2]=>01110=>01110 [5,1,2,6,3,4]=>[1,5,3,6,4,2]=>01110=>01110 [5,1,2,6,4,3]=>[1,5,3,4,6,2]=>01100=>00110 [5,1,3,2,4,6]=>[6,1,5,4,2,3]=>11010=>01011 [5,1,3,2,6,4]=>[1,5,4,6,2,3]=>01010=>01010 [5,1,3,4,2,6]=>[6,1,5,3,2,4]=>11100=>00111 [5,1,3,4,6,2]=>[1,5,4,3,2,6]=>01110=>01110 [5,1,3,6,2,4]=>[1,5,3,2,6,4]=>01110=>01110 [5,1,3,6,4,2]=>[1,5,3,2,4,6]=>01100=>00110 [5,1,4,2,3,6]=>[6,1,5,2,4,3]=>11100=>00111 [5,1,4,2,6,3]=>[1,5,2,4,3,6]=>01100=>00110 [5,1,4,3,2,6]=>[6,1,5,2,3,4]=>11000=>00011 [5,1,4,3,6,2]=>[1,5,3,4,2,6]=>01100=>00110 [5,1,4,6,2,3]=>[1,5,4,2,6,3]=>01110=>01110 [5,1,4,6,3,2]=>[1,5,4,2,3,6]=>01010=>01010 [5,1,6,2,3,4]=>[1,5,2,6,4,3]=>01110=>01110 [5,1,6,2,4,3]=>[1,5,2,6,3,4]=>01100=>00110 [5,1,6,3,2,4]=>[1,5,2,3,6,4]=>01010=>01010 [5,1,6,3,4,2]=>[1,5,3,6,2,4]=>01100=>00110 [5,1,6,4,2,3]=>[1,5,2,4,6,3]=>01100=>00110 [5,1,6,4,3,2]=>[1,5,2,3,4,6]=>01000=>00010 [5,2,1,3,4,6]=>[6,1,2,5,4,3]=>10110=>01101 [5,2,1,3,6,4]=>[1,2,5,4,6,3]=>00110=>01100 [5,2,1,4,3,6]=>[6,1,2,5,3,4]=>10100=>00101 [5,2,1,4,6,3]=>[1,2,5,4,3,6]=>00110=>01100 [5,2,1,6,3,4]=>[1,2,5,3,6,4]=>00110=>01100 [5,2,1,6,4,3]=>[1,2,5,3,4,6]=>00100=>00100 [5,2,3,1,4,6]=>[6,2,5,4,1,3]=>11010=>01011 [5,2,3,1,6,4]=>[2,5,4,6,1,3]=>10010=>01001 [5,2,3,4,1,6]=>[6,2,5,3,1,4]=>11100=>00111 [5,2,3,4,6,1]=>[2,5,4,3,1,6]=>10110=>01101 [5,2,3,6,1,4]=>[2,5,3,1,6,4]=>10110=>01101 [5,2,3,6,4,1]=>[2,5,3,1,4,6]=>10100=>00101 [5,2,4,1,3,6]=>[6,2,5,1,4,3]=>11100=>00111 [5,2,4,1,6,3]=>[2,5,1,4,3,6]=>10100=>00101 [5,2,4,3,1,6]=>[6,2,5,1,3,4]=>11000=>00011 [5,2,4,3,6,1]=>[2,5,3,4,1,6]=>10100=>00101 [5,2,4,6,1,3]=>[2,5,4,1,6,3]=>10110=>01101 [5,2,4,6,3,1]=>[2,5,4,1,3,6]=>10010=>01001 [5,2,6,1,3,4]=>[2,5,1,6,4,3]=>10110=>01101 [5,2,6,1,4,3]=>[2,5,1,6,3,4]=>10100=>00101 [5,2,6,3,1,4]=>[2,5,1,3,6,4]=>10010=>01001 [5,2,6,3,4,1]=>[2,5,3,6,1,4]=>10100=>00101 [5,2,6,4,1,3]=>[2,5,1,4,6,3]=>10100=>00101 [5,2,6,4,3,1]=>[2,5,1,3,4,6]=>10000=>00001 [5,3,1,2,4,6]=>[6,1,3,5,4,2]=>11010=>01011 [5,3,1,2,6,4]=>[1,3,5,4,6,2]=>01010=>01010 [5,3,1,4,2,6]=>[6,1,3,5,2,4]=>11000=>00011 [5,3,1,4,6,2]=>[1,3,5,4,2,6]=>01010=>01010 [5,3,1,6,2,4]=>[1,3,5,2,6,4]=>01010=>01010 [5,3,1,6,4,2]=>[1,3,5,2,4,6]=>01000=>00010 [5,3,2,1,4,6]=>[6,1,2,3,5,4]=>10010=>01001 [5,3,2,1,6,4]=>[1,2,3,5,4,6]=>00010=>01000 [5,3,2,4,1,6]=>[6,2,3,5,1,4]=>11000=>00011 [5,3,2,4,6,1]=>[2,3,5,4,1,6]=>10010=>01001 [5,3,2,6,1,4]=>[2,3,5,1,6,4]=>10010=>01001 [5,3,2,6,4,1]=>[2,3,5,1,4,6]=>10000=>00001 [5,3,4,1,2,6]=>[6,3,5,1,4,2]=>11100=>00111 [5,3,4,1,6,2]=>[3,5,1,4,2,6]=>11000=>00011 [5,3,4,2,1,6]=>[6,3,5,1,2,4]=>10100=>00101 [5,3,4,2,6,1]=>[3,5,2,4,1,6]=>11000=>00011 [5,3,4,6,1,2]=>[3,5,4,1,6,2]=>11010=>01011 [5,3,4,6,2,1]=>[3,5,4,1,2,6]=>10010=>01001 [5,3,6,1,2,4]=>[3,5,1,6,4,2]=>11010=>01011 [5,3,6,1,4,2]=>[3,5,1,6,2,4]=>11000=>00011 [5,3,6,2,1,4]=>[3,5,1,2,6,4]=>10010=>01001 [5,3,6,2,4,1]=>[3,5,2,6,1,4]=>11000=>00011 [5,3,6,4,1,2]=>[3,5,1,4,6,2]=>11000=>00011 [5,3,6,4,2,1]=>[3,5,1,2,4,6]=>10000=>00001 [5,4,1,2,3,6]=>[6,1,4,5,3,2]=>11100=>00111 [5,4,1,2,6,3]=>[1,4,5,3,6,2]=>01100=>00110 [5,4,1,3,2,6]=>[6,1,4,5,2,3]=>11000=>00011 [5,4,1,3,6,2]=>[1,4,5,3,2,6]=>01100=>00110 [5,4,1,6,2,3]=>[1,4,5,2,6,3]=>01100=>00110 [5,4,1,6,3,2]=>[1,4,5,2,3,6]=>01000=>00010 [5,4,2,1,3,6]=>[6,1,2,4,5,3]=>10100=>00101 [5,4,2,1,6,3]=>[1,2,4,5,3,6]=>00100=>00100 [5,4,2,3,1,6]=>[6,2,4,5,1,3]=>11000=>00011 [5,4,2,3,6,1]=>[2,4,5,3,1,6]=>10100=>00101 [5,4,2,6,1,3]=>[2,4,5,1,6,3]=>10100=>00101 [5,4,2,6,3,1]=>[2,4,5,1,3,6]=>10000=>00001 [5,4,3,1,2,6]=>[6,1,3,4,5,2]=>11000=>00011 [5,4,3,1,6,2]=>[1,3,4,5,2,6]=>01000=>00010 [5,4,3,2,1,6]=>[6,1,2,3,4,5]=>10000=>00001 [5,4,3,2,6,1]=>[2,3,4,5,1,6]=>10000=>00001 [5,4,3,6,1,2]=>[3,4,5,1,6,2]=>11000=>00011 [5,4,3,6,2,1]=>[3,4,5,1,2,6]=>10000=>00001 [5,4,6,1,2,3]=>[4,5,1,6,3,2]=>11100=>00111 [5,4,6,1,3,2]=>[4,5,1,6,2,3]=>11000=>00011 [5,4,6,2,1,3]=>[4,5,1,2,6,3]=>10100=>00101 [5,4,6,2,3,1]=>[4,5,2,6,1,3]=>11000=>00011 [5,4,6,3,1,2]=>[4,5,1,3,6,2]=>11000=>00011 [5,4,6,3,2,1]=>[4,5,1,2,3,6]=>10000=>00001 [5,6,1,2,3,4]=>[5,1,6,4,3,2]=>11110=>01111 [5,6,1,2,4,3]=>[5,1,6,3,4,2]=>11100=>00111 [5,6,1,3,2,4]=>[5,1,6,4,2,3]=>11010=>01011 [5,6,1,3,4,2]=>[5,1,6,3,2,4]=>11100=>00111 [5,6,1,4,2,3]=>[5,1,6,2,4,3]=>11100=>00111 [5,6,1,4,3,2]=>[5,1,6,2,3,4]=>11000=>00011 [5,6,2,1,3,4]=>[5,1,2,6,4,3]=>10110=>01101 [5,6,2,1,4,3]=>[5,1,2,6,3,4]=>10100=>00101 [5,6,2,3,1,4]=>[5,2,6,4,1,3]=>11010=>01011 [5,6,2,3,4,1]=>[5,2,6,3,1,4]=>11100=>00111 [5,6,2,4,1,3]=>[5,2,6,1,4,3]=>11100=>00111 [5,6,2,4,3,1]=>[5,2,6,1,3,4]=>11000=>00011 [5,6,3,1,2,4]=>[5,1,3,6,4,2]=>11010=>01011 [5,6,3,1,4,2]=>[5,1,3,6,2,4]=>11000=>00011 [5,6,3,2,1,4]=>[5,1,2,3,6,4]=>10010=>01001 [5,6,3,2,4,1]=>[5,2,3,6,1,4]=>11000=>00011 [5,6,3,4,1,2]=>[5,3,6,1,4,2]=>11100=>00111 [5,6,3,4,2,1]=>[5,3,6,1,2,4]=>10100=>00101 [5,6,4,1,2,3]=>[5,1,4,6,3,2]=>11100=>00111 [5,6,4,1,3,2]=>[5,1,4,6,2,3]=>11000=>00011 [5,6,4,2,1,3]=>[5,1,2,4,6,3]=>10100=>00101 [5,6,4,2,3,1]=>[5,2,4,6,1,3]=>11000=>00011 [5,6,4,3,1,2]=>[5,1,3,4,6,2]=>11000=>00011 [5,6,4,3,2,1]=>[5,1,2,3,4,6]=>10000=>00001 [6,1,2,3,4,5]=>[1,6,5,4,3,2]=>01111=>11110 [6,1,2,3,5,4]=>[1,6,4,5,3,2]=>01110=>01110 [6,1,2,4,3,5]=>[1,6,5,3,4,2]=>01101=>10110 [6,1,2,4,5,3]=>[1,6,4,3,5,2]=>01110=>01110 [6,1,2,5,3,4]=>[1,6,3,5,4,2]=>01110=>01110 [6,1,2,5,4,3]=>[1,6,3,4,5,2]=>01100=>00110 [6,1,3,2,4,5]=>[1,6,5,4,2,3]=>01011=>11010 [6,1,3,2,5,4]=>[1,6,4,5,2,3]=>01010=>01010 [6,1,3,4,2,5]=>[1,6,5,3,2,4]=>01101=>10110 [6,1,3,4,5,2]=>[1,6,4,3,2,5]=>01110=>01110 [6,1,3,5,2,4]=>[1,6,3,2,5,4]=>01110=>01110 [6,1,3,5,4,2]=>[1,6,3,2,4,5]=>01100=>00110 [6,1,4,2,3,5]=>[1,6,5,2,4,3]=>01101=>10110 [6,1,4,2,5,3]=>[1,6,2,4,3,5]=>01100=>00110 [6,1,4,3,2,5]=>[1,6,5,2,3,4]=>01001=>10010 [6,1,4,3,5,2]=>[1,6,3,4,2,5]=>01100=>00110 [6,1,4,5,2,3]=>[1,6,4,2,5,3]=>01110=>01110 [6,1,4,5,3,2]=>[1,6,4,2,3,5]=>01010=>01010 [6,1,5,2,3,4]=>[1,6,2,5,4,3]=>01110=>01110 [6,1,5,2,4,3]=>[1,6,2,5,3,4]=>01100=>00110 [6,1,5,3,2,4]=>[1,6,2,3,5,4]=>01010=>01010 [6,1,5,3,4,2]=>[1,6,3,5,2,4]=>01100=>00110 [6,1,5,4,2,3]=>[1,6,2,4,5,3]=>01100=>00110 [6,1,5,4,3,2]=>[1,6,2,3,4,5]=>01000=>00010 [6,2,1,3,4,5]=>[1,2,6,5,4,3]=>00111=>11100 [6,2,1,3,5,4]=>[1,2,6,4,5,3]=>00110=>01100 [6,2,1,4,3,5]=>[1,2,6,5,3,4]=>00101=>10100 [6,2,1,4,5,3]=>[1,2,6,4,3,5]=>00110=>01100 [6,2,1,5,3,4]=>[1,2,6,3,5,4]=>00110=>01100 [6,2,1,5,4,3]=>[1,2,6,3,4,5]=>00100=>00100 [6,2,3,1,4,5]=>[2,6,5,4,1,3]=>10011=>11001 [6,2,3,1,5,4]=>[2,6,4,5,1,3]=>10010=>01001 [6,2,3,4,1,5]=>[2,6,5,3,1,4]=>10101=>10101 [6,2,3,4,5,1]=>[2,6,4,3,1,5]=>10110=>01101 [6,2,3,5,1,4]=>[2,6,3,1,5,4]=>10110=>01101 [6,2,3,5,4,1]=>[2,6,3,1,4,5]=>10100=>00101 [6,2,4,1,3,5]=>[2,6,5,1,4,3]=>10101=>10101 [6,2,4,1,5,3]=>[2,6,1,4,3,5]=>10100=>00101 [6,2,4,3,1,5]=>[2,6,5,1,3,4]=>10001=>10001 [6,2,4,3,5,1]=>[2,6,3,4,1,5]=>10100=>00101 [6,2,4,5,1,3]=>[2,6,4,1,5,3]=>10110=>01101 [6,2,4,5,3,1]=>[2,6,4,1,3,5]=>10010=>01001 [6,2,5,1,3,4]=>[2,6,1,5,4,3]=>10110=>01101 [6,2,5,1,4,3]=>[2,6,1,5,3,4]=>10100=>00101 [6,2,5,3,1,4]=>[2,6,1,3,5,4]=>10010=>01001 [6,2,5,3,4,1]=>[2,6,3,5,1,4]=>10100=>00101 [6,2,5,4,1,3]=>[2,6,1,4,5,3]=>10100=>00101 [6,2,5,4,3,1]=>[2,6,1,3,4,5]=>10000=>00001 [6,3,1,2,4,5]=>[1,3,6,5,4,2]=>01011=>11010 [6,3,1,2,5,4]=>[1,3,6,4,5,2]=>01010=>01010 [6,3,1,4,2,5]=>[1,3,6,5,2,4]=>01001=>10010 [6,3,1,4,5,2]=>[1,3,6,4,2,5]=>01010=>01010 [6,3,1,5,2,4]=>[1,3,6,2,5,4]=>01010=>01010 [6,3,1,5,4,2]=>[1,3,6,2,4,5]=>01000=>00010 [6,3,2,1,4,5]=>[1,2,3,6,5,4]=>00011=>11000 [6,3,2,1,5,4]=>[1,2,3,6,4,5]=>00010=>01000 [6,3,2,4,1,5]=>[2,3,6,5,1,4]=>10001=>10001 [6,3,2,4,5,1]=>[2,3,6,4,1,5]=>10010=>01001 [6,3,2,5,1,4]=>[2,3,6,1,5,4]=>10010=>01001 [6,3,2,5,4,1]=>[2,3,6,1,4,5]=>10000=>00001 [6,3,4,1,2,5]=>[3,6,5,1,4,2]=>11001=>10011 [6,3,4,1,5,2]=>[3,6,1,4,2,5]=>11000=>00011 [6,3,4,2,1,5]=>[3,6,5,1,2,4]=>10001=>10001 [6,3,4,2,5,1]=>[3,6,2,4,1,5]=>11000=>00011 [6,3,4,5,1,2]=>[3,6,4,1,5,2]=>11010=>01011 [6,3,4,5,2,1]=>[3,6,4,1,2,5]=>10010=>01001 [6,3,5,1,2,4]=>[3,6,1,5,4,2]=>11010=>01011 [6,3,5,1,4,2]=>[3,6,1,5,2,4]=>11000=>00011 [6,3,5,2,1,4]=>[3,6,1,2,5,4]=>10010=>01001 [6,3,5,2,4,1]=>[3,6,2,5,1,4]=>11000=>00011 [6,3,5,4,1,2]=>[3,6,1,4,5,2]=>11000=>00011 [6,3,5,4,2,1]=>[3,6,1,2,4,5]=>10000=>00001 [6,4,1,2,3,5]=>[1,4,6,5,3,2]=>01101=>10110 [6,4,1,2,5,3]=>[1,4,6,3,5,2]=>01100=>00110 [6,4,1,3,2,5]=>[1,4,6,5,2,3]=>01001=>10010 [6,4,1,3,5,2]=>[1,4,6,3,2,5]=>01100=>00110 [6,4,1,5,2,3]=>[1,4,6,2,5,3]=>01100=>00110 [6,4,1,5,3,2]=>[1,4,6,2,3,5]=>01000=>00010 [6,4,2,1,3,5]=>[1,2,4,6,5,3]=>00101=>10100 [6,4,2,1,5,3]=>[1,2,4,6,3,5]=>00100=>00100 [6,4,2,3,1,5]=>[2,4,6,5,1,3]=>10001=>10001 [6,4,2,3,5,1]=>[2,4,6,3,1,5]=>10100=>00101 [6,4,2,5,1,3]=>[2,4,6,1,5,3]=>10100=>00101 [6,4,2,5,3,1]=>[2,4,6,1,3,5]=>10000=>00001 [6,4,3,1,2,5]=>[1,3,4,6,5,2]=>01001=>10010 [6,4,3,1,5,2]=>[1,3,4,6,2,5]=>01000=>00010 [6,4,3,2,1,5]=>[1,2,3,4,6,5]=>00001=>10000 [6,4,3,2,5,1]=>[2,3,4,6,1,5]=>10000=>00001 [6,4,3,5,1,2]=>[3,4,6,1,5,2]=>11000=>00011 [6,4,3,5,2,1]=>[3,4,6,1,2,5]=>10000=>00001 [6,4,5,1,2,3]=>[4,6,1,5,3,2]=>11100=>00111 [6,4,5,1,3,2]=>[4,6,1,5,2,3]=>11000=>00011 [6,4,5,2,1,3]=>[4,6,1,2,5,3]=>10100=>00101 [6,4,5,2,3,1]=>[4,6,2,5,1,3]=>11000=>00011 [6,4,5,3,1,2]=>[4,6,1,3,5,2]=>11000=>00011 [6,4,5,3,2,1]=>[4,6,1,2,3,5]=>10000=>00001 [6,5,1,2,3,4]=>[1,5,6,4,3,2]=>01110=>01110 [6,5,1,2,4,3]=>[1,5,6,3,4,2]=>01100=>00110 [6,5,1,3,2,4]=>[1,5,6,4,2,3]=>01010=>01010 [6,5,1,3,4,2]=>[1,5,6,3,2,4]=>01100=>00110 [6,5,1,4,2,3]=>[1,5,6,2,4,3]=>01100=>00110 [6,5,1,4,3,2]=>[1,5,6,2,3,4]=>01000=>00010 [6,5,2,1,3,4]=>[1,2,5,6,4,3]=>00110=>01100 [6,5,2,1,4,3]=>[1,2,5,6,3,4]=>00100=>00100 [6,5,2,3,1,4]=>[2,5,6,4,1,3]=>10010=>01001 [6,5,2,3,4,1]=>[2,5,6,3,1,4]=>10100=>00101 [6,5,2,4,1,3]=>[2,5,6,1,4,3]=>10100=>00101 [6,5,2,4,3,1]=>[2,5,6,1,3,4]=>10000=>00001 [6,5,3,1,2,4]=>[1,3,5,6,4,2]=>01010=>01010 [6,5,3,1,4,2]=>[1,3,5,6,2,4]=>01000=>00010 [6,5,3,2,1,4]=>[1,2,3,5,6,4]=>00010=>01000 [6,5,3,2,4,1]=>[2,3,5,6,1,4]=>10000=>00001 [6,5,3,4,1,2]=>[3,5,6,1,4,2]=>11000=>00011 [6,5,3,4,2,1]=>[3,5,6,1,2,4]=>10000=>00001 [6,5,4,1,2,3]=>[1,4,5,6,3,2]=>01100=>00110 [6,5,4,1,3,2]=>[1,4,5,6,2,3]=>01000=>00010 [6,5,4,2,1,3]=>[1,2,4,5,6,3]=>00100=>00100 [6,5,4,2,3,1]=>[2,4,5,6,1,3]=>10000=>00001 [6,5,4,3,1,2]=>[1,3,4,5,6,2]=>01000=>00010 [6,5,4,3,2,1]=>[1,2,3,4,5,6]=>00000=>00000 [1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>111111=>111111 [1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>111110=>011111 [1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>111110=>011111 [1,2,3,4,6,7,5]=>[6,5,7,4,3,2,1]=>111110=>011111 [1,2,3,4,7,5,6]=>[5,7,6,4,3,2,1]=>111101=>101111 [1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>111100=>001111 [1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>111101=>101111 [1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>111100=>001111 [1,2,3,5,6,4,7]=>[7,5,4,6,3,2,1]=>111110=>011111 [1,2,3,5,6,7,4]=>[6,5,4,7,3,2,1]=>111110=>011111 [1,2,3,5,7,4,6]=>[5,4,7,6,3,2,1]=>111101=>101111 [1,2,3,5,7,6,4]=>[5,4,6,7,3,2,1]=>111100=>001111 [1,2,3,6,4,5,7]=>[7,4,6,5,3,2,1]=>111110=>011111 [1,2,3,6,4,7,5]=>[4,6,5,7,3,2,1]=>111010=>010111 [1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>111100=>001111 [1,2,3,6,5,7,4]=>[5,6,4,7,3,2,1]=>111100=>001111 [1,2,3,6,7,4,5]=>[6,4,7,5,3,2,1]=>111110=>011111 [1,2,3,6,7,5,4]=>[6,4,5,7,3,2,1]=>111100=>001111 [1,2,3,7,4,5,6]=>[4,7,6,5,3,2,1]=>111011=>110111 [1,2,3,7,4,6,5]=>[4,7,5,6,3,2,1]=>111010=>010111 [1,2,3,7,5,4,6]=>[4,5,7,6,3,2,1]=>111001=>100111 [1,2,3,7,5,6,4]=>[5,7,4,6,3,2,1]=>111100=>001111 [1,2,3,7,6,4,5]=>[4,6,7,5,3,2,1]=>111010=>010111 [1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>111000=>000111 [1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>111011=>110111 [1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>111010=>010111 [1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>111010=>010111 [1,2,4,3,6,7,5]=>[6,5,7,3,4,2,1]=>111010=>010111 [1,2,4,3,7,5,6]=>[5,7,6,3,4,2,1]=>111001=>100111 [1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>111000=>000111 [1,2,4,5,3,6,7]=>[7,6,4,3,5,2,1]=>111101=>101111 [1,2,4,5,3,7,6]=>[6,7,4,3,5,2,1]=>111100=>001111 [1,2,4,5,6,3,7]=>[7,5,4,3,6,2,1]=>111110=>011111 [1,2,4,5,6,7,3]=>[6,5,4,3,7,2,1]=>111110=>011111 [1,2,4,5,7,3,6]=>[5,4,3,7,6,2,1]=>111101=>101111 [1,2,4,5,7,6,3]=>[5,4,3,6,7,2,1]=>111100=>001111 [1,2,4,6,3,5,7]=>[7,4,3,6,5,2,1]=>111110=>011111 [1,2,4,6,3,7,5]=>[4,3,6,5,7,2,1]=>111010=>010111 [1,2,4,6,5,3,7]=>[7,4,3,5,6,2,1]=>111100=>001111 [1,2,4,6,5,7,3]=>[5,6,4,3,7,2,1]=>111100=>001111 [1,2,4,6,7,3,5]=>[6,4,3,7,5,2,1]=>111110=>011111 [1,2,4,6,7,5,3]=>[6,4,3,5,7,2,1]=>111100=>001111 [1,2,4,7,3,5,6]=>[4,3,7,6,5,2,1]=>111011=>110111 [1,2,4,7,3,6,5]=>[4,3,7,5,6,2,1]=>111010=>010111 [1,2,4,7,5,3,6]=>[4,3,5,7,6,2,1]=>111001=>100111 [1,2,4,7,5,6,3]=>[5,7,4,3,6,2,1]=>111100=>001111 [1,2,4,7,6,3,5]=>[4,3,6,7,5,2,1]=>111010=>010111 [1,2,4,7,6,5,3]=>[4,3,5,6,7,2,1]=>111000=>000111 [1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>111101=>101111 [1,2,5,3,4,7,6]=>[6,7,3,5,4,2,1]=>111100=>001111 [1,2,5,3,6,4,7]=>[7,3,5,4,6,2,1]=>111100=>001111 [1,2,5,3,6,7,4]=>[6,3,5,4,7,2,1]=>111100=>001111 [1,2,5,3,7,4,6]=>[3,5,4,7,6,2,1]=>110101=>101011 [1,2,5,3,7,6,4]=>[3,5,4,6,7,2,1]=>110100=>001011 [1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>111001=>100111 [1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>111000=>000111 [1,2,5,4,6,3,7]=>[7,4,5,3,6,2,1]=>111100=>001111 [1,2,5,4,6,7,3]=>[6,4,5,3,7,2,1]=>111100=>001111 [1,2,5,4,7,3,6]=>[4,5,3,7,6,2,1]=>111001=>100111 [1,2,5,4,7,6,3]=>[4,5,3,6,7,2,1]=>111000=>000111 [1,2,5,6,3,4,7]=>[7,5,3,6,4,2,1]=>111110=>011111 [1,2,5,6,3,7,4]=>[5,3,6,4,7,2,1]=>111100=>001111 [1,2,5,6,4,3,7]=>[7,5,3,4,6,2,1]=>111010=>010111 [1,2,5,6,4,7,3]=>[5,4,6,3,7,2,1]=>111100=>001111 [1,2,5,6,7,3,4]=>[6,5,3,7,4,2,1]=>111110=>011111 [1,2,5,6,7,4,3]=>[6,5,3,4,7,2,1]=>111010=>010111 [1,2,5,7,3,4,6]=>[5,3,7,6,4,2,1]=>111101=>101111 [1,2,5,7,3,6,4]=>[5,3,7,4,6,2,1]=>111100=>001111 [1,2,5,7,4,3,6]=>[5,3,4,7,6,2,1]=>111001=>100111 [1,2,5,7,4,6,3]=>[5,4,7,3,6,2,1]=>111100=>001111 [1,2,5,7,6,3,4]=>[5,3,6,7,4,2,1]=>111100=>001111 [1,2,5,7,6,4,3]=>[5,3,4,6,7,2,1]=>111000=>000111 [1,2,6,3,4,5,7]=>[7,3,6,5,4,2,1]=>111110=>011111 [1,2,6,3,4,7,5]=>[3,6,5,7,4,2,1]=>110110=>011011 [1,2,6,3,5,4,7]=>[7,3,6,4,5,2,1]=>111100=>001111 [1,2,6,3,5,7,4]=>[3,6,5,4,7,2,1]=>110110=>011011 [1,2,6,3,7,4,5]=>[3,6,4,7,5,2,1]=>110110=>011011 [1,2,6,3,7,5,4]=>[3,6,4,5,7,2,1]=>110100=>001011 [1,2,6,4,3,5,7]=>[7,3,4,6,5,2,1]=>111010=>010111 [1,2,6,4,3,7,5]=>[3,4,6,5,7,2,1]=>110010=>010011 [1,2,6,4,5,3,7]=>[7,4,6,3,5,2,1]=>111100=>001111 [1,2,6,4,5,7,3]=>[4,6,5,3,7,2,1]=>111010=>010111 [1,2,6,4,7,3,5]=>[4,6,3,7,5,2,1]=>111010=>010111 [1,2,6,4,7,5,3]=>[4,6,3,5,7,2,1]=>111000=>000111 [1,2,6,5,3,4,7]=>[7,3,5,6,4,2,1]=>111100=>001111 [1,2,6,5,3,7,4]=>[3,5,6,4,7,2,1]=>110100=>001011 [1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>111000=>000111 [1,2,6,5,4,7,3]=>[4,5,6,3,7,2,1]=>111000=>000111 [1,2,6,5,7,3,4]=>[5,6,3,7,4,2,1]=>111100=>001111 [1,2,6,5,7,4,3]=>[5,6,3,4,7,2,1]=>111000=>000111 [1,2,6,7,3,4,5]=>[6,3,7,5,4,2,1]=>111110=>011111 [1,2,6,7,3,5,4]=>[6,3,7,4,5,2,1]=>111100=>001111 [1,2,6,7,4,3,5]=>[6,3,4,7,5,2,1]=>111010=>010111 [1,2,6,7,4,5,3]=>[6,4,7,3,5,2,1]=>111100=>001111 [1,2,6,7,5,3,4]=>[6,3,5,7,4,2,1]=>111100=>001111 [1,2,6,7,5,4,3]=>[6,3,4,5,7,2,1]=>111000=>000111 [1,2,7,3,4,5,6]=>[3,7,6,5,4,2,1]=>110111=>111011 [1,2,7,3,4,6,5]=>[3,7,5,6,4,2,1]=>110110=>011011 [1,2,7,3,5,4,6]=>[3,7,6,4,5,2,1]=>110101=>101011 [1,2,7,3,5,6,4]=>[3,7,5,4,6,2,1]=>110110=>011011 [1,2,7,3,6,4,5]=>[3,7,4,6,5,2,1]=>110110=>011011 [1,2,7,3,6,5,4]=>[3,7,4,5,6,2,1]=>110100=>001011 [1,2,7,4,3,5,6]=>[3,4,7,6,5,2,1]=>110011=>110011 [1,2,7,4,3,6,5]=>[3,4,7,5,6,2,1]=>110010=>010011 [1,2,7,4,5,3,6]=>[4,7,6,3,5,2,1]=>111001=>100111 [1,2,7,4,5,6,3]=>[4,7,5,3,6,2,1]=>111010=>010111 [1,2,7,4,6,3,5]=>[4,7,3,6,5,2,1]=>111010=>010111 [1,2,7,4,6,5,3]=>[4,7,3,5,6,2,1]=>111000=>000111 [1,2,7,5,3,4,6]=>[3,5,7,6,4,2,1]=>110101=>101011 [1,2,7,5,3,6,4]=>[3,5,7,4,6,2,1]=>110100=>001011 [1,2,7,5,4,3,6]=>[3,4,5,7,6,2,1]=>110001=>100011 [1,2,7,5,4,6,3]=>[4,5,7,3,6,2,1]=>111000=>000111 [1,2,7,5,6,3,4]=>[5,7,3,6,4,2,1]=>111100=>001111 [1,2,7,5,6,4,3]=>[5,7,3,4,6,2,1]=>111000=>000111 [1,2,7,6,3,4,5]=>[3,6,7,5,4,2,1]=>110110=>011011 [1,2,7,6,3,5,4]=>[3,6,7,4,5,2,1]=>110100=>001011 [1,2,7,6,4,3,5]=>[3,4,6,7,5,2,1]=>110010=>010011 [1,2,7,6,4,5,3]=>[4,6,7,3,5,2,1]=>111000=>000111 [1,2,7,6,5,3,4]=>[3,5,6,7,4,2,1]=>110100=>001011 [1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>110000=>000011 [1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>110111=>111011 [1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>110110=>011011 [1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>110110=>011011 [1,3,2,4,6,7,5]=>[6,5,7,4,2,3,1]=>110110=>011011 [1,3,2,4,7,5,6]=>[5,7,6,4,2,3,1]=>110101=>101011 [1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>110100=>001011 [1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>110101=>101011 [1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>110100=>001011 [1,3,2,5,6,4,7]=>[7,5,4,6,2,3,1]=>110110=>011011 [1,3,2,5,6,7,4]=>[6,5,4,7,2,3,1]=>110110=>011011 [1,3,2,5,7,4,6]=>[5,4,7,6,2,3,1]=>110101=>101011 [1,3,2,5,7,6,4]=>[5,4,6,7,2,3,1]=>110100=>001011 [1,3,2,6,4,5,7]=>[7,4,6,5,2,3,1]=>110110=>011011 [1,3,2,6,4,7,5]=>[4,6,5,7,2,3,1]=>110010=>010011 [1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>110100=>001011 [1,3,2,6,5,7,4]=>[5,6,4,7,2,3,1]=>110100=>001011 [1,3,2,6,7,4,5]=>[6,4,7,5,2,3,1]=>110110=>011011 [1,3,2,6,7,5,4]=>[6,4,5,7,2,3,1]=>110100=>001011 [1,3,2,7,4,5,6]=>[4,7,6,5,2,3,1]=>110011=>110011 [1,3,2,7,4,6,5]=>[4,7,5,6,2,3,1]=>110010=>010011 [1,3,2,7,5,4,6]=>[4,5,7,6,2,3,1]=>110001=>100011 [1,3,2,7,5,6,4]=>[5,7,4,6,2,3,1]=>110100=>001011 [1,3,2,7,6,4,5]=>[4,6,7,5,2,3,1]=>110010=>010011 [1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>110000=>000011 [1,3,4,2,5,6,7]=>[7,6,5,3,2,4,1]=>111011=>110111 [1,3,4,2,5,7,6]=>[6,7,5,3,2,4,1]=>111010=>010111 [1,3,4,2,6,5,7]=>[7,5,6,3,2,4,1]=>111010=>010111 [1,3,4,2,6,7,5]=>[6,5,7,3,2,4,1]=>111010=>010111 [1,3,4,2,7,5,6]=>[5,7,6,3,2,4,1]=>111001=>100111 [1,3,4,2,7,6,5]=>[5,6,7,3,2,4,1]=>111000=>000111 [1,3,4,5,2,6,7]=>[7,6,4,3,2,5,1]=>111101=>101111 [1,3,4,5,2,7,6]=>[6,7,4,3,2,5,1]=>111100=>001111 [1,3,4,5,6,2,7]=>[7,5,4,3,2,6,1]=>111110=>011111 [1,3,4,5,6,7,2]=>[6,5,4,3,2,7,1]=>111110=>011111 [1,3,4,5,7,2,6]=>[5,4,3,2,7,6,1]=>111101=>101111 [1,3,4,5,7,6,2]=>[5,4,3,2,6,7,1]=>111100=>001111 [1,3,4,6,2,5,7]=>[7,4,3,2,6,5,1]=>111110=>011111 [1,3,4,6,2,7,5]=>[4,3,2,6,5,7,1]=>111010=>010111 [1,3,4,6,5,2,7]=>[7,4,3,2,5,6,1]=>111100=>001111 [1,3,4,6,5,7,2]=>[5,6,4,3,2,7,1]=>111100=>001111 [1,3,4,6,7,2,5]=>[6,4,3,2,7,5,1]=>111110=>011111 [1,3,4,6,7,5,2]=>[6,4,3,2,5,7,1]=>111100=>001111 [1,3,4,7,2,5,6]=>[4,3,2,7,6,5,1]=>111011=>110111 [1,3,4,7,2,6,5]=>[4,3,2,7,5,6,1]=>111010=>010111 [1,3,4,7,5,2,6]=>[4,3,2,5,7,6,1]=>111001=>100111 [1,3,4,7,5,6,2]=>[5,7,4,3,2,6,1]=>111100=>001111 [1,3,4,7,6,2,5]=>[4,3,2,6,7,5,1]=>111010=>010111 [1,3,4,7,6,5,2]=>[4,3,2,5,6,7,1]=>111000=>000111 [1,3,5,2,4,6,7]=>[7,6,3,2,5,4,1]=>111101=>101111 [1,3,5,2,4,7,6]=>[6,7,3,2,5,4,1]=>111100=>001111 [1,3,5,2,6,4,7]=>[7,3,2,5,4,6,1]=>111100=>001111 [1,3,5,2,6,7,4]=>[6,3,2,5,4,7,1]=>111100=>001111 [1,3,5,2,7,4,6]=>[3,2,5,4,7,6,1]=>110101=>101011 [1,3,5,2,7,6,4]=>[3,2,5,4,6,7,1]=>110100=>001011 [1,3,5,4,2,6,7]=>[7,6,3,2,4,5,1]=>111001=>100111 [1,3,5,4,2,7,6]=>[6,7,3,2,4,5,1]=>111000=>000111 [1,3,5,4,6,2,7]=>[7,4,5,3,2,6,1]=>111100=>001111 [1,3,5,4,6,7,2]=>[6,4,5,3,2,7,1]=>111100=>001111 [1,3,5,4,7,2,6]=>[4,5,3,2,7,6,1]=>111001=>100111 [1,3,5,4,7,6,2]=>[4,5,3,2,6,7,1]=>111000=>000111 [1,3,5,6,2,4,7]=>[7,5,3,2,6,4,1]=>111110=>011111 [1,3,5,6,2,7,4]=>[5,3,2,6,4,7,1]=>111100=>001111 [1,3,5,6,4,2,7]=>[7,5,3,2,4,6,1]=>111010=>010111 [1,3,5,6,4,7,2]=>[5,4,6,3,2,7,1]=>111100=>001111 [1,3,5,6,7,2,4]=>[6,5,3,2,7,4,1]=>111110=>011111 [1,3,5,6,7,4,2]=>[6,5,3,2,4,7,1]=>111010=>010111 [1,3,5,7,2,4,6]=>[5,3,2,7,6,4,1]=>111101=>101111 [1,3,5,7,2,6,4]=>[5,3,2,7,4,6,1]=>111100=>001111 [1,3,5,7,4,2,6]=>[5,3,2,4,7,6,1]=>111001=>100111 [1,3,5,7,4,6,2]=>[5,4,7,3,2,6,1]=>111100=>001111 [1,3,5,7,6,2,4]=>[5,3,2,6,7,4,1]=>111100=>001111 [1,3,5,7,6,4,2]=>[5,3,2,4,6,7,1]=>111000=>000111 [1,3,6,2,4,5,7]=>[7,3,2,6,5,4,1]=>111110=>011111 [1,3,6,2,4,7,5]=>[3,2,6,5,7,4,1]=>110110=>011011 [1,3,6,2,5,4,7]=>[7,3,2,6,4,5,1]=>111100=>001111 [1,3,6,2,5,7,4]=>[3,2,6,5,4,7,1]=>110110=>011011 [1,3,6,2,7,4,5]=>[3,2,6,4,7,5,1]=>110110=>011011 [1,3,6,2,7,5,4]=>[3,2,6,4,5,7,1]=>110100=>001011 [1,3,6,4,2,5,7]=>[7,3,2,4,6,5,1]=>111010=>010111 [1,3,6,4,2,7,5]=>[3,2,4,6,5,7,1]=>110010=>010011 [1,3,6,4,5,2,7]=>[7,4,6,3,2,5,1]=>111100=>001111 [1,3,6,4,5,7,2]=>[4,6,5,3,2,7,1]=>111010=>010111 [1,3,6,4,7,2,5]=>[4,6,3,2,7,5,1]=>111010=>010111 [1,3,6,4,7,5,2]=>[4,6,3,2,5,7,1]=>111000=>000111 [1,3,6,5,2,4,7]=>[7,3,2,5,6,4,1]=>111100=>001111 [1,3,6,5,2,7,4]=>[3,2,5,6,4,7,1]=>110100=>001011 [1,3,6,5,4,2,7]=>[7,3,2,4,5,6,1]=>111000=>000111 [1,3,6,5,4,7,2]=>[4,5,6,3,2,7,1]=>111000=>000111 [1,3,6,5,7,2,4]=>[5,6,3,2,7,4,1]=>111100=>001111 [1,3,6,5,7,4,2]=>[5,6,3,2,4,7,1]=>111000=>000111 [1,3,6,7,2,4,5]=>[6,3,2,7,5,4,1]=>111110=>011111 [1,3,6,7,2,5,4]=>[6,3,2,7,4,5,1]=>111100=>001111 [1,3,6,7,4,2,5]=>[6,3,2,4,7,5,1]=>111010=>010111 [1,3,6,7,4,5,2]=>[6,4,7,3,2,5,1]=>111100=>001111 [1,3,6,7,5,2,4]=>[6,3,2,5,7,4,1]=>111100=>001111 [1,3,6,7,5,4,2]=>[6,3,2,4,5,7,1]=>111000=>000111 [1,3,7,2,4,5,6]=>[3,2,7,6,5,4,1]=>110111=>111011 [1,3,7,2,4,6,5]=>[3,2,7,5,6,4,1]=>110110=>011011 [1,3,7,2,5,4,6]=>[3,2,7,6,4,5,1]=>110101=>101011 [1,3,7,2,5,6,4]=>[3,2,7,5,4,6,1]=>110110=>011011 [1,3,7,2,6,4,5]=>[3,2,7,4,6,5,1]=>110110=>011011 [1,3,7,2,6,5,4]=>[3,2,7,4,5,6,1]=>110100=>001011 [1,3,7,4,2,5,6]=>[3,2,4,7,6,5,1]=>110011=>110011 [1,3,7,4,2,6,5]=>[3,2,4,7,5,6,1]=>110010=>010011 [1,3,7,4,5,2,6]=>[4,7,6,3,2,5,1]=>111001=>100111 [1,3,7,4,5,6,2]=>[4,7,5,3,2,6,1]=>111010=>010111 [1,3,7,4,6,2,5]=>[4,7,3,2,6,5,1]=>111010=>010111 [1,3,7,4,6,5,2]=>[4,7,3,2,5,6,1]=>111000=>000111 [1,3,7,5,2,4,6]=>[3,2,5,7,6,4,1]=>110101=>101011 [1,3,7,5,2,6,4]=>[3,2,5,7,4,6,1]=>110100=>001011 [1,3,7,5,4,2,6]=>[3,2,4,5,7,6,1]=>110001=>100011 [1,3,7,5,4,6,2]=>[4,5,7,3,2,6,1]=>111000=>000111 [1,3,7,5,6,2,4]=>[5,7,3,2,6,4,1]=>111100=>001111 [1,3,7,5,6,4,2]=>[5,7,3,2,4,6,1]=>111000=>000111 [1,3,7,6,2,4,5]=>[3,2,6,7,5,4,1]=>110110=>011011 [1,3,7,6,2,5,4]=>[3,2,6,7,4,5,1]=>110100=>001011 [1,3,7,6,4,2,5]=>[3,2,4,6,7,5,1]=>110010=>010011 [1,3,7,6,4,5,2]=>[4,6,7,3,2,5,1]=>111000=>000111 [1,3,7,6,5,2,4]=>[3,2,5,6,7,4,1]=>110100=>001011 [1,3,7,6,5,4,2]=>[3,2,4,5,6,7,1]=>110000=>000011 [1,4,2,3,5,6,7]=>[7,6,5,2,4,3,1]=>111011=>110111 [1,4,2,3,5,7,6]=>[6,7,5,2,4,3,1]=>111010=>010111 [1,4,2,3,6,5,7]=>[7,5,6,2,4,3,1]=>111010=>010111 [1,4,2,3,6,7,5]=>[6,5,7,2,4,3,1]=>111010=>010111 [1,4,2,3,7,5,6]=>[5,7,6,2,4,3,1]=>111001=>100111 [1,4,2,3,7,6,5]=>[5,6,7,2,4,3,1]=>111000=>000111 [1,4,2,5,3,6,7]=>[7,6,2,4,3,5,1]=>111001=>100111 [1,4,2,5,3,7,6]=>[6,7,2,4,3,5,1]=>111000=>000111 [1,4,2,5,6,3,7]=>[7,5,2,4,3,6,1]=>111010=>010111 [1,4,2,5,6,7,3]=>[6,5,2,4,3,7,1]=>111010=>010111 [1,4,2,5,7,3,6]=>[5,2,4,3,7,6,1]=>111001=>100111 [1,4,2,5,7,6,3]=>[5,2,4,3,6,7,1]=>111000=>000111 [1,4,2,6,3,5,7]=>[7,2,4,3,6,5,1]=>111010=>010111 [1,4,2,6,3,7,5]=>[2,4,3,6,5,7,1]=>101010=>010101 [1,4,2,6,5,3,7]=>[7,2,4,3,5,6,1]=>111000=>000111 [1,4,2,6,5,7,3]=>[5,6,2,4,3,7,1]=>111000=>000111 [1,4,2,6,7,3,5]=>[6,2,4,3,7,5,1]=>111010=>010111 [1,4,2,6,7,5,3]=>[6,2,4,3,5,7,1]=>111000=>000111 [1,4,2,7,3,5,6]=>[2,4,3,7,6,5,1]=>101011=>110101 [1,4,2,7,3,6,5]=>[2,4,3,7,5,6,1]=>101010=>010101 [1,4,2,7,5,3,6]=>[2,4,3,5,7,6,1]=>101001=>100101 [1,4,2,7,5,6,3]=>[5,7,2,4,3,6,1]=>111000=>000111 [1,4,2,7,6,3,5]=>[2,4,3,6,7,5,1]=>101010=>010101 [1,4,2,7,6,5,3]=>[2,4,3,5,6,7,1]=>101000=>000101 [1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>110011=>110011 [1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>110010=>010011 [1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>110010=>010011 [1,4,3,2,6,7,5]=>[6,5,7,2,3,4,1]=>110010=>010011 [1,4,3,2,7,5,6]=>[5,7,6,2,3,4,1]=>110001=>100011 [1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>110000=>000011 [1,4,3,5,2,6,7]=>[7,6,3,4,2,5,1]=>111001=>100111 [1,4,3,5,2,7,6]=>[6,7,3,4,2,5,1]=>111000=>000111 [1,4,3,5,6,2,7]=>[7,5,3,4,2,6,1]=>111010=>010111 [1,4,3,5,6,7,2]=>[6,5,3,4,2,7,1]=>111010=>010111 [1,4,3,5,7,2,6]=>[5,3,4,2,7,6,1]=>111001=>100111 [1,4,3,5,7,6,2]=>[5,3,4,2,6,7,1]=>111000=>000111 [1,4,3,6,2,5,7]=>[7,3,4,2,6,5,1]=>111010=>010111 [1,4,3,6,2,7,5]=>[3,4,2,6,5,7,1]=>110010=>010011 [1,4,3,6,5,2,7]=>[7,3,4,2,5,6,1]=>111000=>000111 [1,4,3,6,5,7,2]=>[5,6,3,4,2,7,1]=>111000=>000111 [1,4,3,6,7,2,5]=>[6,3,4,2,7,5,1]=>111010=>010111 [1,4,3,6,7,5,2]=>[6,3,4,2,5,7,1]=>111000=>000111 [1,4,3,7,2,5,6]=>[3,4,2,7,6,5,1]=>110011=>110011 [1,4,3,7,2,6,5]=>[3,4,2,7,5,6,1]=>110010=>010011 [1,4,3,7,5,2,6]=>[3,4,2,5,7,6,1]=>110001=>100011 [1,4,3,7,5,6,2]=>[5,7,3,4,2,6,1]=>111000=>000111 [1,4,3,7,6,2,5]=>[3,4,2,6,7,5,1]=>110010=>010011 [1,4,3,7,6,5,2]=>[3,4,2,5,6,7,1]=>110000=>000011 [1,4,5,2,3,6,7]=>[7,6,4,2,5,3,1]=>111101=>101111 [1,4,5,2,3,7,6]=>[6,7,4,2,5,3,1]=>111100=>001111 [1,4,5,2,6,3,7]=>[7,4,2,5,3,6,1]=>111100=>001111 [1,4,5,2,6,7,3]=>[6,4,2,5,3,7,1]=>111100=>001111 [1,4,5,2,7,3,6]=>[4,2,5,3,7,6,1]=>111001=>100111 [1,4,5,2,7,6,3]=>[4,2,5,3,6,7,1]=>111000=>000111 [1,4,5,3,2,6,7]=>[7,6,4,2,3,5,1]=>110101=>101011 [1,4,5,3,2,7,6]=>[6,7,4,2,3,5,1]=>110100=>001011 [1,4,5,3,6,2,7]=>[7,4,3,5,2,6,1]=>111100=>001111 [1,4,5,3,6,7,2]=>[6,4,3,5,2,7,1]=>111100=>001111 [1,4,5,3,7,2,6]=>[4,3,5,2,7,6,1]=>111001=>100111 [1,4,5,3,7,6,2]=>[4,3,5,2,6,7,1]=>111000=>000111 [1,4,5,6,2,3,7]=>[7,5,4,2,6,3,1]=>111110=>011111 [1,4,5,6,2,7,3]=>[5,4,2,6,3,7,1]=>111100=>001111 [1,4,5,6,3,2,7]=>[7,5,4,2,3,6,1]=>110110=>011011 [1,4,5,6,3,7,2]=>[5,4,3,6,2,7,1]=>111100=>001111 [1,4,5,6,7,2,3]=>[6,5,4,2,7,3,1]=>111110=>011111 [1,4,5,6,7,3,2]=>[6,5,4,2,3,7,1]=>110110=>011011 [1,4,5,7,2,3,6]=>[5,4,2,7,6,3,1]=>111101=>101111 [1,4,5,7,2,6,3]=>[5,4,2,7,3,6,1]=>111100=>001111 [1,4,5,7,3,2,6]=>[5,4,2,3,7,6,1]=>110101=>101011 [1,4,5,7,3,6,2]=>[5,4,3,7,2,6,1]=>111100=>001111 [1,4,5,7,6,2,3]=>[5,4,2,6,7,3,1]=>111100=>001111 [1,4,5,7,6,3,2]=>[5,4,2,3,6,7,1]=>110100=>001011 [1,4,6,2,3,5,7]=>[7,4,2,6,5,3,1]=>111110=>011111 [1,4,6,2,3,7,5]=>[4,2,6,5,7,3,1]=>111010=>010111 [1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>111100=>001111 [1,4,6,2,5,7,3]=>[4,2,6,5,3,7,1]=>111010=>010111 [1,4,6,2,7,3,5]=>[4,2,6,3,7,5,1]=>111010=>010111 [1,4,6,2,7,5,3]=>[4,2,6,3,5,7,1]=>111000=>000111 [1,4,6,3,2,5,7]=>[7,4,2,3,6,5,1]=>110110=>011011 [1,4,6,3,2,7,5]=>[4,2,3,6,5,7,1]=>110010=>010011 [1,4,6,3,5,2,7]=>[7,4,3,6,2,5,1]=>111100=>001111 [1,4,6,3,5,7,2]=>[4,3,6,5,2,7,1]=>111010=>010111 [1,4,6,3,7,2,5]=>[4,3,6,2,7,5,1]=>111010=>010111 [1,4,6,3,7,5,2]=>[4,3,6,2,5,7,1]=>111000=>000111 [1,4,6,5,2,3,7]=>[7,4,2,5,6,3,1]=>111100=>001111 [1,4,6,5,2,7,3]=>[4,2,5,6,3,7,1]=>111000=>000111 [1,4,6,5,3,2,7]=>[7,4,2,3,5,6,1]=>110100=>001011 [1,4,6,5,3,7,2]=>[4,3,5,6,2,7,1]=>111000=>000111 [1,4,6,5,7,2,3]=>[5,6,4,2,7,3,1]=>111100=>001111 [1,4,6,5,7,3,2]=>[5,6,4,2,3,7,1]=>110100=>001011 [1,4,6,7,2,3,5]=>[6,4,2,7,5,3,1]=>111110=>011111 [1,4,6,7,2,5,3]=>[6,4,2,7,3,5,1]=>111100=>001111 [1,4,6,7,3,2,5]=>[6,4,2,3,7,5,1]=>110110=>011011 [1,4,6,7,3,5,2]=>[6,4,3,7,2,5,1]=>111100=>001111 [1,4,6,7,5,2,3]=>[6,4,2,5,7,3,1]=>111100=>001111 [1,4,6,7,5,3,2]=>[6,4,2,3,5,7,1]=>110100=>001011 [1,4,7,2,3,5,6]=>[4,2,7,6,5,3,1]=>111011=>110111 [1,4,7,2,3,6,5]=>[4,2,7,5,6,3,1]=>111010=>010111 [1,4,7,2,5,3,6]=>[4,2,7,6,3,5,1]=>111001=>100111 [1,4,7,2,5,6,3]=>[4,2,7,5,3,6,1]=>111010=>010111 [1,4,7,2,6,3,5]=>[4,2,7,3,6,5,1]=>111010=>010111 [1,4,7,2,6,5,3]=>[4,2,7,3,5,6,1]=>111000=>000111 [1,4,7,3,2,5,6]=>[4,2,3,7,6,5,1]=>110011=>110011 [1,4,7,3,2,6,5]=>[4,2,3,7,5,6,1]=>110010=>010011 [1,4,7,3,5,2,6]=>[4,3,7,6,2,5,1]=>111001=>100111 [1,4,7,3,5,6,2]=>[4,3,7,5,2,6,1]=>111010=>010111 [1,4,7,3,6,2,5]=>[4,3,7,2,6,5,1]=>111010=>010111 [1,4,7,3,6,5,2]=>[4,3,7,2,5,6,1]=>111000=>000111 [1,4,7,5,2,3,6]=>[4,2,5,7,6,3,1]=>111001=>100111 [1,4,7,5,2,6,3]=>[4,2,5,7,3,6,1]=>111000=>000111 [1,4,7,5,3,2,6]=>[4,2,3,5,7,6,1]=>110001=>100011 [1,4,7,5,3,6,2]=>[4,3,5,7,2,6,1]=>111000=>000111 [1,4,7,5,6,2,3]=>[5,7,4,2,6,3,1]=>111100=>001111 [1,4,7,5,6,3,2]=>[5,7,4,2,3,6,1]=>110100=>001011 [1,4,7,6,2,3,5]=>[4,2,6,7,5,3,1]=>111010=>010111 [1,4,7,6,2,5,3]=>[4,2,6,7,3,5,1]=>111000=>000111 [1,4,7,6,3,2,5]=>[4,2,3,6,7,5,1]=>110010=>010011 [1,4,7,6,3,5,2]=>[4,3,6,7,2,5,1]=>111000=>000111 [1,4,7,6,5,2,3]=>[4,2,5,6,7,3,1]=>111000=>000111 [1,4,7,6,5,3,2]=>[4,2,3,5,6,7,1]=>110000=>000011 [1,5,2,3,4,6,7]=>[7,6,2,5,4,3,1]=>111101=>101111 [1,5,2,3,4,7,6]=>[6,7,2,5,4,3,1]=>111100=>001111 [1,5,2,3,6,4,7]=>[7,2,5,4,6,3,1]=>111100=>001111 [1,5,2,3,6,7,4]=>[6,2,5,4,7,3,1]=>111100=>001111 [1,5,2,3,7,4,6]=>[2,5,4,7,6,3,1]=>101101=>101101 [1,5,2,3,7,6,4]=>[2,5,4,6,7,3,1]=>101100=>001101 [1,5,2,4,3,6,7]=>[7,6,2,5,3,4,1]=>111001=>100111 [1,5,2,4,3,7,6]=>[6,7,2,5,3,4,1]=>111000=>000111 [1,5,2,4,6,3,7]=>[7,2,5,4,3,6,1]=>111100=>001111 [1,5,2,4,6,7,3]=>[6,2,5,4,3,7,1]=>111100=>001111 [1,5,2,4,7,3,6]=>[2,5,4,3,7,6,1]=>101101=>101101 [1,5,2,4,7,6,3]=>[2,5,4,3,6,7,1]=>101100=>001101 [1,5,2,6,3,4,7]=>[7,2,5,3,6,4,1]=>111100=>001111 [1,5,2,6,3,7,4]=>[2,5,3,6,4,7,1]=>101100=>001101 [1,5,2,6,4,3,7]=>[7,2,5,3,4,6,1]=>111000=>000111 [1,5,2,6,4,7,3]=>[2,5,4,6,3,7,1]=>101100=>001101 [1,5,2,6,7,3,4]=>[6,2,5,3,7,4,1]=>111100=>001111 [1,5,2,6,7,4,3]=>[6,2,5,3,4,7,1]=>111000=>000111 [1,5,2,7,3,4,6]=>[2,5,3,7,6,4,1]=>101101=>101101 [1,5,2,7,3,6,4]=>[2,5,3,7,4,6,1]=>101100=>001101 [1,5,2,7,4,3,6]=>[2,5,3,4,7,6,1]=>101001=>100101 [1,5,2,7,4,6,3]=>[2,5,4,7,3,6,1]=>101100=>001101 [1,5,2,7,6,3,4]=>[2,5,3,6,7,4,1]=>101100=>001101 [1,5,2,7,6,4,3]=>[2,5,3,4,6,7,1]=>101000=>000101 [1,5,3,2,4,6,7]=>[7,6,2,3,5,4,1]=>110101=>101011 [1,5,3,2,4,7,6]=>[6,7,2,3,5,4,1]=>110100=>001011 [1,5,3,2,6,4,7]=>[7,2,3,5,4,6,1]=>110100=>001011 [1,5,3,2,6,7,4]=>[6,2,3,5,4,7,1]=>110100=>001011 [1,5,3,2,7,4,6]=>[2,3,5,4,7,6,1]=>100101=>101001 [1,5,3,2,7,6,4]=>[2,3,5,4,6,7,1]=>100100=>001001 [1,5,3,4,2,6,7]=>[7,6,3,5,2,4,1]=>111001=>100111 [1,5,3,4,2,7,6]=>[6,7,3,5,2,4,1]=>111000=>000111 [1,5,3,4,6,2,7]=>[7,3,5,4,2,6,1]=>111100=>001111 [1,5,3,4,6,7,2]=>[6,3,5,4,2,7,1]=>111100=>001111 [1,5,3,4,7,2,6]=>[3,5,4,2,7,6,1]=>110101=>101011 [1,5,3,4,7,6,2]=>[3,5,4,2,6,7,1]=>110100=>001011 [1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>111100=>001111 [1,5,3,6,2,7,4]=>[3,5,2,6,4,7,1]=>110100=>001011 [1,5,3,6,4,2,7]=>[7,3,5,2,4,6,1]=>111000=>000111 [1,5,3,6,4,7,2]=>[3,5,4,6,2,7,1]=>110100=>001011 [1,5,3,6,7,2,4]=>[6,3,5,2,7,4,1]=>111100=>001111 [1,5,3,6,7,4,2]=>[6,3,5,2,4,7,1]=>111000=>000111 [1,5,3,7,2,4,6]=>[3,5,2,7,6,4,1]=>110101=>101011 [1,5,3,7,2,6,4]=>[3,5,2,7,4,6,1]=>110100=>001011 [1,5,3,7,4,2,6]=>[3,5,2,4,7,6,1]=>110001=>100011 [1,5,3,7,4,6,2]=>[3,5,4,7,2,6,1]=>110100=>001011 [1,5,3,7,6,2,4]=>[3,5,2,6,7,4,1]=>110100=>001011 [1,5,3,7,6,4,2]=>[3,5,2,4,6,7,1]=>110000=>000011 [1,5,4,2,3,6,7]=>[7,6,2,4,5,3,1]=>111001=>100111 [1,5,4,2,3,7,6]=>[6,7,2,4,5,3,1]=>111000=>000111 [1,5,4,2,6,3,7]=>[7,2,4,5,3,6,1]=>111000=>000111 [1,5,4,2,6,7,3]=>[6,2,4,5,3,7,1]=>111000=>000111 [1,5,4,2,7,3,6]=>[2,4,5,3,7,6,1]=>101001=>100101 [1,5,4,2,7,6,3]=>[2,4,5,3,6,7,1]=>101000=>000101 [1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>110001=>100011 [1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>110000=>000011 [1,5,4,3,6,2,7]=>[7,3,4,5,2,6,1]=>111000=>000111 [1,5,4,3,6,7,2]=>[6,3,4,5,2,7,1]=>111000=>000111 [1,5,4,3,7,2,6]=>[3,4,5,2,7,6,1]=>110001=>100011 [1,5,4,3,7,6,2]=>[3,4,5,2,6,7,1]=>110000=>000011 [1,5,4,6,2,3,7]=>[7,4,5,2,6,3,1]=>111100=>001111 [1,5,4,6,2,7,3]=>[4,5,2,6,3,7,1]=>111000=>000111 [1,5,4,6,3,2,7]=>[7,4,5,2,3,6,1]=>110100=>001011 [1,5,4,6,3,7,2]=>[4,5,3,6,2,7,1]=>111000=>000111 [1,5,4,6,7,2,3]=>[6,4,5,2,7,3,1]=>111100=>001111 [1,5,4,6,7,3,2]=>[6,4,5,2,3,7,1]=>110100=>001011 [1,5,4,7,2,3,6]=>[4,5,2,7,6,3,1]=>111001=>100111 [1,5,4,7,2,6,3]=>[4,5,2,7,3,6,1]=>111000=>000111 [1,5,4,7,3,2,6]=>[4,5,2,3,7,6,1]=>110001=>100011 [1,5,4,7,3,6,2]=>[4,5,3,7,2,6,1]=>111000=>000111 [1,5,4,7,6,2,3]=>[4,5,2,6,7,3,1]=>111000=>000111 [1,5,4,7,6,3,2]=>[4,5,2,3,6,7,1]=>110000=>000011 [1,5,6,2,3,4,7]=>[7,5,2,6,4,3,1]=>111110=>011111 [1,5,6,2,3,7,4]=>[5,2,6,4,7,3,1]=>111100=>001111 [1,5,6,2,4,3,7]=>[7,5,2,6,3,4,1]=>111010=>010111 [1,5,6,2,4,7,3]=>[5,2,6,4,3,7,1]=>111100=>001111 [1,5,6,2,7,3,4]=>[5,2,6,3,7,4,1]=>111100=>001111 [1,5,6,2,7,4,3]=>[5,2,6,3,4,7,1]=>111000=>000111 [1,5,6,3,2,4,7]=>[7,5,2,3,6,4,1]=>110110=>011011 [1,5,6,3,2,7,4]=>[5,2,3,6,4,7,1]=>110100=>001011 [1,5,6,3,4,2,7]=>[7,5,3,6,2,4,1]=>111010=>010111 [1,5,6,3,4,7,2]=>[5,3,6,4,2,7,1]=>111100=>001111 [1,5,6,3,7,2,4]=>[5,3,6,2,7,4,1]=>111100=>001111 [1,5,6,3,7,4,2]=>[5,3,6,2,4,7,1]=>111000=>000111 [1,5,6,4,2,3,7]=>[7,5,2,4,6,3,1]=>111010=>010111 [1,5,6,4,2,7,3]=>[5,2,4,6,3,7,1]=>111000=>000111 [1,5,6,4,3,2,7]=>[7,5,2,3,4,6,1]=>110010=>010011 [1,5,6,4,3,7,2]=>[5,3,4,6,2,7,1]=>111000=>000111 [1,5,6,4,7,2,3]=>[5,4,6,2,7,3,1]=>111100=>001111 [1,5,6,4,7,3,2]=>[5,4,6,2,3,7,1]=>110100=>001011 [1,5,6,7,2,3,4]=>[6,5,2,7,4,3,1]=>111110=>011111 [1,5,6,7,2,4,3]=>[6,5,2,7,3,4,1]=>111010=>010111 [1,5,6,7,3,2,4]=>[6,5,2,3,7,4,1]=>110110=>011011 [1,5,6,7,3,4,2]=>[6,5,3,7,2,4,1]=>111010=>010111 [1,5,6,7,4,2,3]=>[6,5,2,4,7,3,1]=>111010=>010111 [1,5,6,7,4,3,2]=>[6,5,2,3,4,7,1]=>110010=>010011 [1,5,7,2,3,4,6]=>[5,2,7,6,4,3,1]=>111101=>101111 [1,5,7,2,3,6,4]=>[5,2,7,4,6,3,1]=>111100=>001111 [1,5,7,2,4,3,6]=>[5,2,7,6,3,4,1]=>111001=>100111 [1,5,7,2,4,6,3]=>[5,2,7,4,3,6,1]=>111100=>001111 [1,5,7,2,6,3,4]=>[5,2,7,3,6,4,1]=>111100=>001111 [1,5,7,2,6,4,3]=>[5,2,7,3,4,6,1]=>111000=>000111 [1,5,7,3,2,4,6]=>[5,2,3,7,6,4,1]=>110101=>101011 [1,5,7,3,2,6,4]=>[5,2,3,7,4,6,1]=>110100=>001011 [1,5,7,3,4,2,6]=>[5,3,7,6,2,4,1]=>111001=>100111 [1,5,7,3,4,6,2]=>[5,3,7,4,2,6,1]=>111100=>001111 [1,5,7,3,6,2,4]=>[5,3,7,2,6,4,1]=>111100=>001111 [1,5,7,3,6,4,2]=>[5,3,7,2,4,6,1]=>111000=>000111 [1,5,7,4,2,3,6]=>[5,2,4,7,6,3,1]=>111001=>100111 [1,5,7,4,2,6,3]=>[5,2,4,7,3,6,1]=>111000=>000111 [1,5,7,4,3,2,6]=>[5,2,3,4,7,6,1]=>110001=>100011 [1,5,7,4,3,6,2]=>[5,3,4,7,2,6,1]=>111000=>000111 [1,5,7,4,6,2,3]=>[5,4,7,2,6,3,1]=>111100=>001111 [1,5,7,4,6,3,2]=>[5,4,7,2,3,6,1]=>110100=>001011 [1,5,7,6,2,3,4]=>[5,2,6,7,4,3,1]=>111100=>001111 [1,5,7,6,2,4,3]=>[5,2,6,7,3,4,1]=>111000=>000111 [1,5,7,6,3,2,4]=>[5,2,3,6,7,4,1]=>110100=>001011 [1,5,7,6,3,4,2]=>[5,3,6,7,2,4,1]=>111000=>000111 [1,5,7,6,4,2,3]=>[5,2,4,6,7,3,1]=>111000=>000111 [1,5,7,6,4,3,2]=>[5,2,3,4,6,7,1]=>110000=>000011 [1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>111110=>011111 [1,6,2,3,4,7,5]=>[2,6,5,7,4,3,1]=>101110=>011101 [1,6,2,3,5,4,7]=>[7,2,6,4,5,3,1]=>111100=>001111 [1,6,2,3,5,7,4]=>[2,6,5,4,7,3,1]=>101110=>011101 [1,6,2,3,7,4,5]=>[2,6,4,7,5,3,1]=>101110=>011101 [1,6,2,3,7,5,4]=>[2,6,4,5,7,3,1]=>101100=>001101 [1,6,2,4,3,5,7]=>[7,2,6,5,3,4,1]=>111010=>010111 [1,6,2,4,3,7,5]=>[2,6,5,7,3,4,1]=>101010=>010101 [1,6,2,4,5,3,7]=>[7,2,6,4,3,5,1]=>111100=>001111 [1,6,2,4,5,7,3]=>[2,6,5,4,3,7,1]=>101110=>011101 [1,6,2,4,7,3,5]=>[2,6,4,3,7,5,1]=>101110=>011101 [1,6,2,4,7,5,3]=>[2,6,4,3,5,7,1]=>101100=>001101 [1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>111100=>001111 [1,6,2,5,3,7,4]=>[2,6,3,5,4,7,1]=>101100=>001101 [1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>111000=>000111 [1,6,2,5,4,7,3]=>[2,6,4,5,3,7,1]=>101100=>001101 [1,6,2,5,7,3,4]=>[2,6,5,3,7,4,1]=>101110=>011101 [1,6,2,5,7,4,3]=>[2,6,5,3,4,7,1]=>101010=>010101 [1,6,2,7,3,4,5]=>[2,6,3,7,5,4,1]=>101110=>011101 [1,6,2,7,3,5,4]=>[2,6,3,7,4,5,1]=>101100=>001101 [1,6,2,7,4,3,5]=>[2,6,3,4,7,5,1]=>101010=>010101 [1,6,2,7,4,5,3]=>[2,6,4,7,3,5,1]=>101100=>001101 [1,6,2,7,5,3,4]=>[2,6,3,5,7,4,1]=>101100=>001101 [1,6,2,7,5,4,3]=>[2,6,3,4,5,7,1]=>101000=>000101 [1,6,3,2,4,5,7]=>[7,2,3,6,5,4,1]=>110110=>011011 [1,6,3,2,4,7,5]=>[2,3,6,5,7,4,1]=>100110=>011001 [1,6,3,2,5,4,7]=>[7,2,3,6,4,5,1]=>110100=>001011 [1,6,3,2,5,7,4]=>[2,3,6,5,4,7,1]=>100110=>011001 [1,6,3,2,7,4,5]=>[2,3,6,4,7,5,1]=>100110=>011001 [1,6,3,2,7,5,4]=>[2,3,6,4,5,7,1]=>100100=>001001 [1,6,3,4,2,5,7]=>[7,3,6,5,2,4,1]=>111010=>010111 [1,6,3,4,2,7,5]=>[3,6,5,7,2,4,1]=>110010=>010011 [1,6,3,4,5,2,7]=>[7,3,6,4,2,5,1]=>111100=>001111 [1,6,3,4,5,7,2]=>[3,6,5,4,2,7,1]=>110110=>011011 [1,6,3,4,7,2,5]=>[3,6,4,2,7,5,1]=>110110=>011011 [1,6,3,4,7,5,2]=>[3,6,4,2,5,7,1]=>110100=>001011 [1,6,3,5,2,4,7]=>[7,3,6,2,5,4,1]=>111100=>001111 [1,6,3,5,2,7,4]=>[3,6,2,5,4,7,1]=>110100=>001011 [1,6,3,5,4,2,7]=>[7,3,6,2,4,5,1]=>111000=>000111 [1,6,3,5,4,7,2]=>[3,6,4,5,2,7,1]=>110100=>001011 [1,6,3,5,7,2,4]=>[3,6,5,2,7,4,1]=>110110=>011011 [1,6,3,5,7,4,2]=>[3,6,5,2,4,7,1]=>110010=>010011 [1,6,3,7,2,4,5]=>[3,6,2,7,5,4,1]=>110110=>011011 [1,6,3,7,2,5,4]=>[3,6,2,7,4,5,1]=>110100=>001011 [1,6,3,7,4,2,5]=>[3,6,2,4,7,5,1]=>110010=>010011 [1,6,3,7,4,5,2]=>[3,6,4,7,2,5,1]=>110100=>001011 [1,6,3,7,5,2,4]=>[3,6,2,5,7,4,1]=>110100=>001011 [1,6,3,7,5,4,2]=>[3,6,2,4,5,7,1]=>110000=>000011 [1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>111010=>010111 [1,6,4,2,3,7,5]=>[2,4,6,5,7,3,1]=>101010=>010101 [1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>111000=>000111 [1,6,4,2,5,7,3]=>[2,4,6,5,3,7,1]=>101010=>010101 [1,6,4,2,7,3,5]=>[2,4,6,3,7,5,1]=>101010=>010101 [1,6,4,2,7,5,3]=>[2,4,6,3,5,7,1]=>101000=>000101 [1,6,4,3,2,5,7]=>[7,2,3,4,6,5,1]=>110010=>010011 [1,6,4,3,2,7,5]=>[2,3,4,6,5,7,1]=>100010=>010001 [1,6,4,3,5,2,7]=>[7,3,4,6,2,5,1]=>111000=>000111 [1,6,4,3,5,7,2]=>[3,4,6,5,2,7,1]=>110010=>010011 [1,6,4,3,7,2,5]=>[3,4,6,2,7,5,1]=>110010=>010011 [1,6,4,3,7,5,2]=>[3,4,6,2,5,7,1]=>110000=>000011 [1,6,4,5,2,3,7]=>[7,4,6,2,5,3,1]=>111100=>001111 [1,6,4,5,2,7,3]=>[4,6,2,5,3,7,1]=>111000=>000111 [1,6,4,5,3,2,7]=>[7,4,6,2,3,5,1]=>110100=>001011 [1,6,4,5,3,7,2]=>[4,6,3,5,2,7,1]=>111000=>000111 [1,6,4,5,7,2,3]=>[4,6,5,2,7,3,1]=>111010=>010111 [1,6,4,5,7,3,2]=>[4,6,5,2,3,7,1]=>110010=>010011 [1,6,4,7,2,3,5]=>[4,6,2,7,5,3,1]=>111010=>010111 [1,6,4,7,2,5,3]=>[4,6,2,7,3,5,1]=>111000=>000111 [1,6,4,7,3,2,5]=>[4,6,2,3,7,5,1]=>110010=>010011 [1,6,4,7,3,5,2]=>[4,6,3,7,2,5,1]=>111000=>000111 [1,6,4,7,5,2,3]=>[4,6,2,5,7,3,1]=>111000=>000111 [1,6,4,7,5,3,2]=>[4,6,2,3,5,7,1]=>110000=>000011 [1,6,5,2,3,4,7]=>[7,2,5,6,4,3,1]=>111100=>001111 [1,6,5,2,3,7,4]=>[2,5,6,4,7,3,1]=>101100=>001101 [1,6,5,2,4,3,7]=>[7,2,5,6,3,4,1]=>111000=>000111 [1,6,5,2,4,7,3]=>[2,5,6,4,3,7,1]=>101100=>001101 [1,6,5,2,7,3,4]=>[2,5,6,3,7,4,1]=>101100=>001101 [1,6,5,2,7,4,3]=>[2,5,6,3,4,7,1]=>101000=>000101 [1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>110100=>001011 [1,6,5,3,2,7,4]=>[2,3,5,6,4,7,1]=>100100=>001001 [1,6,5,3,4,2,7]=>[7,3,5,6,2,4,1]=>111000=>000111 [1,6,5,3,4,7,2]=>[3,5,6,4,2,7,1]=>110100=>001011 [1,6,5,3,7,2,4]=>[3,5,6,2,7,4,1]=>110100=>001011 [1,6,5,3,7,4,2]=>[3,5,6,2,4,7,1]=>110000=>000011 [1,6,5,4,2,3,7]=>[7,2,4,5,6,3,1]=>111000=>000111 [1,6,5,4,2,7,3]=>[2,4,5,6,3,7,1]=>101000=>000101 [1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>110000=>000011 [1,6,5,4,3,7,2]=>[3,4,5,6,2,7,1]=>110000=>000011 [1,6,5,4,7,2,3]=>[4,5,6,2,7,3,1]=>111000=>000111 [1,6,5,4,7,3,2]=>[4,5,6,2,3,7,1]=>110000=>000011 [1,6,5,7,2,3,4]=>[5,6,2,7,4,3,1]=>111100=>001111 [1,6,5,7,2,4,3]=>[5,6,2,7,3,4,1]=>111000=>000111 [1,6,5,7,3,2,4]=>[5,6,2,3,7,4,1]=>110100=>001011 [1,6,5,7,3,4,2]=>[5,6,3,7,2,4,1]=>111000=>000111 [1,6,5,7,4,2,3]=>[5,6,2,4,7,3,1]=>111000=>000111 [1,6,5,7,4,3,2]=>[5,6,2,3,4,7,1]=>110000=>000011 [1,6,7,2,3,4,5]=>[6,2,7,5,4,3,1]=>111110=>011111 [1,6,7,2,3,5,4]=>[6,2,7,4,5,3,1]=>111100=>001111 [1,6,7,2,4,3,5]=>[6,2,7,5,3,4,1]=>111010=>010111 [1,6,7,2,4,5,3]=>[6,2,7,4,3,5,1]=>111100=>001111 [1,6,7,2,5,3,4]=>[6,2,7,3,5,4,1]=>111100=>001111 [1,6,7,2,5,4,3]=>[6,2,7,3,4,5,1]=>111000=>000111 [1,6,7,3,2,4,5]=>[6,2,3,7,5,4,1]=>110110=>011011 [1,6,7,3,2,5,4]=>[6,2,3,7,4,5,1]=>110100=>001011 [1,6,7,3,4,2,5]=>[6,3,7,5,2,4,1]=>111010=>010111 [1,6,7,3,4,5,2]=>[6,3,7,4,2,5,1]=>111100=>001111 [1,6,7,3,5,2,4]=>[6,3,7,2,5,4,1]=>111100=>001111 [1,6,7,3,5,4,2]=>[6,3,7,2,4,5,1]=>111000=>000111 [1,6,7,4,2,3,5]=>[6,2,4,7,5,3,1]=>111010=>010111 [1,6,7,4,2,5,3]=>[6,2,4,7,3,5,1]=>111000=>000111 [1,6,7,4,3,2,5]=>[6,2,3,4,7,5,1]=>110010=>010011 [1,6,7,4,3,5,2]=>[6,3,4,7,2,5,1]=>111000=>000111 [1,6,7,4,5,2,3]=>[6,4,7,2,5,3,1]=>111100=>001111 [1,6,7,4,5,3,2]=>[6,4,7,2,3,5,1]=>110100=>001011 [1,6,7,5,2,3,4]=>[6,2,5,7,4,3,1]=>111100=>001111 [1,6,7,5,2,4,3]=>[6,2,5,7,3,4,1]=>111000=>000111 [1,6,7,5,3,2,4]=>[6,2,3,5,7,4,1]=>110100=>001011 [1,6,7,5,3,4,2]=>[6,3,5,7,2,4,1]=>111000=>000111 [1,6,7,5,4,2,3]=>[6,2,4,5,7,3,1]=>111000=>000111 [1,6,7,5,4,3,2]=>[6,2,3,4,5,7,1]=>110000=>000011 [1,7,2,3,4,5,6]=>[2,7,6,5,4,3,1]=>101111=>111101 [1,7,2,3,4,6,5]=>[2,7,5,6,4,3,1]=>101110=>011101 [1,7,2,3,5,4,6]=>[2,7,6,4,5,3,1]=>101101=>101101 [1,7,2,3,5,6,4]=>[2,7,5,4,6,3,1]=>101110=>011101 [1,7,2,3,6,4,5]=>[2,7,4,6,5,3,1]=>101110=>011101 [1,7,2,3,6,5,4]=>[2,7,4,5,6,3,1]=>101100=>001101 [1,7,2,4,3,5,6]=>[2,7,6,5,3,4,1]=>101011=>110101 [1,7,2,4,3,6,5]=>[2,7,5,6,3,4,1]=>101010=>010101 [1,7,2,4,5,3,6]=>[2,7,6,4,3,5,1]=>101101=>101101 [1,7,2,4,5,6,3]=>[2,7,5,4,3,6,1]=>101110=>011101 [1,7,2,4,6,3,5]=>[2,7,4,3,6,5,1]=>101110=>011101 [1,7,2,4,6,5,3]=>[2,7,4,3,5,6,1]=>101100=>001101 [1,7,2,5,3,4,6]=>[2,7,6,3,5,4,1]=>101101=>101101 [1,7,2,5,3,6,4]=>[2,7,3,5,4,6,1]=>101100=>001101 [1,7,2,5,4,3,6]=>[2,7,6,3,4,5,1]=>101001=>100101 [1,7,2,5,4,6,3]=>[2,7,4,5,3,6,1]=>101100=>001101 [1,7,2,5,6,3,4]=>[2,7,5,3,6,4,1]=>101110=>011101 [1,7,2,5,6,4,3]=>[2,7,5,3,4,6,1]=>101010=>010101 [1,7,2,6,3,4,5]=>[2,7,3,6,5,4,1]=>101110=>011101 [1,7,2,6,3,5,4]=>[2,7,3,6,4,5,1]=>101100=>001101 [1,7,2,6,4,3,5]=>[2,7,3,4,6,5,1]=>101010=>010101 [1,7,2,6,4,5,3]=>[2,7,4,6,3,5,1]=>101100=>001101 [1,7,2,6,5,3,4]=>[2,7,3,5,6,4,1]=>101100=>001101 [1,7,2,6,5,4,3]=>[2,7,3,4,5,6,1]=>101000=>000101 [1,7,3,2,4,5,6]=>[2,3,7,6,5,4,1]=>100111=>111001 [1,7,3,2,4,6,5]=>[2,3,7,5,6,4,1]=>100110=>011001 [1,7,3,2,5,4,6]=>[2,3,7,6,4,5,1]=>100101=>101001 [1,7,3,2,5,6,4]=>[2,3,7,5,4,6,1]=>100110=>011001 [1,7,3,2,6,4,5]=>[2,3,7,4,6,5,1]=>100110=>011001 [1,7,3,2,6,5,4]=>[2,3,7,4,5,6,1]=>100100=>001001 [1,7,3,4,2,5,6]=>[3,7,6,5,2,4,1]=>110011=>110011 [1,7,3,4,2,6,5]=>[3,7,5,6,2,4,1]=>110010=>010011 [1,7,3,4,5,2,6]=>[3,7,6,4,2,5,1]=>110101=>101011 [1,7,3,4,5,6,2]=>[3,7,5,4,2,6,1]=>110110=>011011 [1,7,3,4,6,2,5]=>[3,7,4,2,6,5,1]=>110110=>011011 [1,7,3,4,6,5,2]=>[3,7,4,2,5,6,1]=>110100=>001011 [1,7,3,5,2,4,6]=>[3,7,6,2,5,4,1]=>110101=>101011 [1,7,3,5,2,6,4]=>[3,7,2,5,4,6,1]=>110100=>001011 [1,7,3,5,4,2,6]=>[3,7,6,2,4,5,1]=>110001=>100011 [1,7,3,5,4,6,2]=>[3,7,4,5,2,6,1]=>110100=>001011 [1,7,3,5,6,2,4]=>[3,7,5,2,6,4,1]=>110110=>011011 [1,7,3,5,6,4,2]=>[3,7,5,2,4,6,1]=>110010=>010011 [1,7,3,6,2,4,5]=>[3,7,2,6,5,4,1]=>110110=>011011 [1,7,3,6,2,5,4]=>[3,7,2,6,4,5,1]=>110100=>001011 [1,7,3,6,4,2,5]=>[3,7,2,4,6,5,1]=>110010=>010011 [1,7,3,6,4,5,2]=>[3,7,4,6,2,5,1]=>110100=>001011 [1,7,3,6,5,2,4]=>[3,7,2,5,6,4,1]=>110100=>001011 [1,7,3,6,5,4,2]=>[3,7,2,4,5,6,1]=>110000=>000011 [1,7,4,2,3,5,6]=>[2,4,7,6,5,3,1]=>101011=>110101 [1,7,4,2,3,6,5]=>[2,4,7,5,6,3,1]=>101010=>010101 [1,7,4,2,5,3,6]=>[2,4,7,6,3,5,1]=>101001=>100101 [1,7,4,2,5,6,3]=>[2,4,7,5,3,6,1]=>101010=>010101 [1,7,4,2,6,3,5]=>[2,4,7,3,6,5,1]=>101010=>010101 [1,7,4,2,6,5,3]=>[2,4,7,3,5,6,1]=>101000=>000101 [1,7,4,3,2,5,6]=>[2,3,4,7,6,5,1]=>100011=>110001 [1,7,4,3,2,6,5]=>[2,3,4,7,5,6,1]=>100010=>010001 [1,7,4,3,5,2,6]=>[3,4,7,6,2,5,1]=>110001=>100011 [1,7,4,3,5,6,2]=>[3,4,7,5,2,6,1]=>110010=>010011 [1,7,4,3,6,2,5]=>[3,4,7,2,6,5,1]=>110010=>010011 [1,7,4,3,6,5,2]=>[3,4,7,2,5,6,1]=>110000=>000011 [1,7,4,5,2,3,6]=>[4,7,6,2,5,3,1]=>111001=>100111 [1,7,4,5,2,6,3]=>[4,7,2,5,3,6,1]=>111000=>000111 [1,7,4,5,3,2,6]=>[4,7,6,2,3,5,1]=>110001=>100011 [1,7,4,5,3,6,2]=>[4,7,3,5,2,6,1]=>111000=>000111 [1,7,4,5,6,2,3]=>[4,7,5,2,6,3,1]=>111010=>010111 [1,7,4,5,6,3,2]=>[4,7,5,2,3,6,1]=>110010=>010011 [1,7,4,6,2,3,5]=>[4,7,2,6,5,3,1]=>111010=>010111 [1,7,4,6,2,5,3]=>[4,7,2,6,3,5,1]=>111000=>000111 [1,7,4,6,3,2,5]=>[4,7,2,3,6,5,1]=>110010=>010011 [1,7,4,6,3,5,2]=>[4,7,3,6,2,5,1]=>111000=>000111 [1,7,4,6,5,2,3]=>[4,7,2,5,6,3,1]=>111000=>000111 [1,7,4,6,5,3,2]=>[4,7,2,3,5,6,1]=>110000=>000011 [1,7,5,2,3,4,6]=>[2,5,7,6,4,3,1]=>101101=>101101 [1,7,5,2,3,6,4]=>[2,5,7,4,6,3,1]=>101100=>001101 [1,7,5,2,4,3,6]=>[2,5,7,6,3,4,1]=>101001=>100101 [1,7,5,2,4,6,3]=>[2,5,7,4,3,6,1]=>101100=>001101 [1,7,5,2,6,3,4]=>[2,5,7,3,6,4,1]=>101100=>001101 [1,7,5,2,6,4,3]=>[2,5,7,3,4,6,1]=>101000=>000101 [1,7,5,3,2,4,6]=>[2,3,5,7,6,4,1]=>100101=>101001 [1,7,5,3,2,6,4]=>[2,3,5,7,4,6,1]=>100100=>001001 [1,7,5,3,4,2,6]=>[3,5,7,6,2,4,1]=>110001=>100011 [1,7,5,3,4,6,2]=>[3,5,7,4,2,6,1]=>110100=>001011 [1,7,5,3,6,2,4]=>[3,5,7,2,6,4,1]=>110100=>001011 [1,7,5,3,6,4,2]=>[3,5,7,2,4,6,1]=>110000=>000011 [1,7,5,4,2,3,6]=>[2,4,5,7,6,3,1]=>101001=>100101 [1,7,5,4,2,6,3]=>[2,4,5,7,3,6,1]=>101000=>000101 [1,7,5,4,3,2,6]=>[2,3,4,5,7,6,1]=>100001=>100001 [1,7,5,4,3,6,2]=>[3,4,5,7,2,6,1]=>110000=>000011 [1,7,5,4,6,2,3]=>[4,5,7,2,6,3,1]=>111000=>000111 [1,7,5,4,6,3,2]=>[4,5,7,2,3,6,1]=>110000=>000011 [1,7,5,6,2,3,4]=>[5,7,2,6,4,3,1]=>111100=>001111 [1,7,5,6,2,4,3]=>[5,7,2,6,3,4,1]=>111000=>000111 [1,7,5,6,3,2,4]=>[5,7,2,3,6,4,1]=>110100=>001011 [1,7,5,6,3,4,2]=>[5,7,3,6,2,4,1]=>111000=>000111 [1,7,5,6,4,2,3]=>[5,7,2,4,6,3,1]=>111000=>000111 [1,7,5,6,4,3,2]=>[5,7,2,3,4,6,1]=>110000=>000011 [1,7,6,2,3,4,5]=>[2,6,7,5,4,3,1]=>101110=>011101 [1,7,6,2,3,5,4]=>[2,6,7,4,5,3,1]=>101100=>001101 [1,7,6,2,4,3,5]=>[2,6,7,5,3,4,1]=>101010=>010101 [1,7,6,2,4,5,3]=>[2,6,7,4,3,5,1]=>101100=>001101 [1,7,6,2,5,3,4]=>[2,6,7,3,5,4,1]=>101100=>001101 [1,7,6,2,5,4,3]=>[2,6,7,3,4,5,1]=>101000=>000101 [1,7,6,3,2,4,5]=>[2,3,6,7,5,4,1]=>100110=>011001 [1,7,6,3,2,5,4]=>[2,3,6,7,4,5,1]=>100100=>001001 [1,7,6,3,4,2,5]=>[3,6,7,5,2,4,1]=>110010=>010011 [1,7,6,3,4,5,2]=>[3,6,7,4,2,5,1]=>110100=>001011 [1,7,6,3,5,2,4]=>[3,6,7,2,5,4,1]=>110100=>001011 [1,7,6,3,5,4,2]=>[3,6,7,2,4,5,1]=>110000=>000011 [1,7,6,4,2,3,5]=>[2,4,6,7,5,3,1]=>101010=>010101 [1,7,6,4,2,5,3]=>[2,4,6,7,3,5,1]=>101000=>000101 [1,7,6,4,3,2,5]=>[2,3,4,6,7,5,1]=>100010=>010001 [1,7,6,4,3,5,2]=>[3,4,6,7,2,5,1]=>110000=>000011 [1,7,6,4,5,2,3]=>[4,6,7,2,5,3,1]=>111000=>000111 [1,7,6,4,5,3,2]=>[4,6,7,2,3,5,1]=>110000=>000011 [1,7,6,5,2,3,4]=>[2,5,6,7,4,3,1]=>101100=>001101 [1,7,6,5,2,4,3]=>[2,5,6,7,3,4,1]=>101000=>000101 [1,7,6,5,3,2,4]=>[2,3,5,6,7,4,1]=>100100=>001001 [1,7,6,5,3,4,2]=>[3,5,6,7,2,4,1]=>110000=>000011 [1,7,6,5,4,2,3]=>[2,4,5,6,7,3,1]=>101000=>000101 [1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>100000=>000001 [2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>101111=>111101 [2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>101110=>011101 [2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>101110=>011101 [2,1,3,4,6,7,5]=>[6,5,7,4,3,1,2]=>101110=>011101 [2,1,3,4,7,5,6]=>[5,7,6,4,3,1,2]=>101101=>101101 [2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>101100=>001101 [2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>101101=>101101 [2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>101100=>001101 [2,1,3,5,6,4,7]=>[7,5,4,6,3,1,2]=>101110=>011101 [2,1,3,5,6,7,4]=>[6,5,4,7,3,1,2]=>101110=>011101 [2,1,3,5,7,4,6]=>[5,4,7,6,3,1,2]=>101101=>101101 [2,1,3,5,7,6,4]=>[5,4,6,7,3,1,2]=>101100=>001101 [2,1,3,6,4,5,7]=>[7,4,6,5,3,1,2]=>101110=>011101 [2,1,3,6,4,7,5]=>[4,6,5,7,3,1,2]=>101010=>010101 [2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>101100=>001101 [2,1,3,6,5,7,4]=>[5,6,4,7,3,1,2]=>101100=>001101 [2,1,3,6,7,4,5]=>[6,4,7,5,3,1,2]=>101110=>011101 [2,1,3,6,7,5,4]=>[6,4,5,7,3,1,2]=>101100=>001101 [2,1,3,7,4,5,6]=>[4,7,6,5,3,1,2]=>101011=>110101 [2,1,3,7,4,6,5]=>[4,7,5,6,3,1,2]=>101010=>010101 [2,1,3,7,5,4,6]=>[4,5,7,6,3,1,2]=>101001=>100101 [2,1,3,7,5,6,4]=>[5,7,4,6,3,1,2]=>101100=>001101 [2,1,3,7,6,4,5]=>[4,6,7,5,3,1,2]=>101010=>010101 [2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>101000=>000101 [2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>101011=>110101 [2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>101010=>010101 [2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>101010=>010101 [2,1,4,3,6,7,5]=>[6,5,7,3,4,1,2]=>101010=>010101 [2,1,4,3,7,5,6]=>[5,7,6,3,4,1,2]=>101001=>100101 [2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>101000=>000101 [2,1,4,5,3,6,7]=>[7,6,4,3,5,1,2]=>101101=>101101 [2,1,4,5,3,7,6]=>[6,7,4,3,5,1,2]=>101100=>001101 [2,1,4,5,6,3,7]=>[7,5,4,3,6,1,2]=>101110=>011101 [2,1,4,5,6,7,3]=>[6,5,4,3,7,1,2]=>101110=>011101 [2,1,4,5,7,3,6]=>[5,4,3,7,6,1,2]=>101101=>101101 [2,1,4,5,7,6,3]=>[5,4,3,6,7,1,2]=>101100=>001101 [2,1,4,6,3,5,7]=>[7,4,3,6,5,1,2]=>101110=>011101 [2,1,4,6,3,7,5]=>[4,3,6,5,7,1,2]=>101010=>010101 [2,1,4,6,5,3,7]=>[7,4,3,5,6,1,2]=>101100=>001101 [2,1,4,6,5,7,3]=>[5,6,4,3,7,1,2]=>101100=>001101 [2,1,4,6,7,3,5]=>[6,4,3,7,5,1,2]=>101110=>011101 [2,1,4,6,7,5,3]=>[6,4,3,5,7,1,2]=>101100=>001101 [2,1,4,7,3,5,6]=>[4,3,7,6,5,1,2]=>101011=>110101 [2,1,4,7,3,6,5]=>[4,3,7,5,6,1,2]=>101010=>010101 [2,1,4,7,5,3,6]=>[4,3,5,7,6,1,2]=>101001=>100101 [2,1,4,7,5,6,3]=>[5,7,4,3,6,1,2]=>101100=>001101 [2,1,4,7,6,3,5]=>[4,3,6,7,5,1,2]=>101010=>010101 [2,1,4,7,6,5,3]=>[4,3,5,6,7,1,2]=>101000=>000101 [2,1,5,3,4,6,7]=>[7,6,3,5,4,1,2]=>101101=>101101 [2,1,5,3,4,7,6]=>[6,7,3,5,4,1,2]=>101100=>001101 [2,1,5,3,6,4,7]=>[7,3,5,4,6,1,2]=>101100=>001101 [2,1,5,3,6,7,4]=>[6,3,5,4,7,1,2]=>101100=>001101 [2,1,5,3,7,4,6]=>[3,5,4,7,6,1,2]=>100101=>101001 [2,1,5,3,7,6,4]=>[3,5,4,6,7,1,2]=>100100=>001001 [2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>101001=>100101 [2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>101000=>000101 [2,1,5,4,6,3,7]=>[7,4,5,3,6,1,2]=>101100=>001101 [2,1,5,4,6,7,3]=>[6,4,5,3,7,1,2]=>101100=>001101 [2,1,5,4,7,3,6]=>[4,5,3,7,6,1,2]=>101001=>100101 [2,1,5,4,7,6,3]=>[4,5,3,6,7,1,2]=>101000=>000101 [2,1,5,6,3,4,7]=>[7,5,3,6,4,1,2]=>101110=>011101 [2,1,5,6,3,7,4]=>[5,3,6,4,7,1,2]=>101100=>001101 [2,1,5,6,4,3,7]=>[7,5,3,4,6,1,2]=>101010=>010101 [2,1,5,6,4,7,3]=>[5,4,6,3,7,1,2]=>101100=>001101 [2,1,5,6,7,3,4]=>[6,5,3,7,4,1,2]=>101110=>011101 [2,1,5,6,7,4,3]=>[6,5,3,4,7,1,2]=>101010=>010101 [2,1,5,7,3,4,6]=>[5,3,7,6,4,1,2]=>101101=>101101 [2,1,5,7,3,6,4]=>[5,3,7,4,6,1,2]=>101100=>001101 [2,1,5,7,4,3,6]=>[5,3,4,7,6,1,2]=>101001=>100101 [2,1,5,7,4,6,3]=>[5,4,7,3,6,1,2]=>101100=>001101 [2,1,5,7,6,3,4]=>[5,3,6,7,4,1,2]=>101100=>001101 [2,1,5,7,6,4,3]=>[5,3,4,6,7,1,2]=>101000=>000101 [2,1,6,3,4,5,7]=>[7,3,6,5,4,1,2]=>101110=>011101 [2,1,6,3,4,7,5]=>[3,6,5,7,4,1,2]=>100110=>011001 [2,1,6,3,5,4,7]=>[7,3,6,4,5,1,2]=>101100=>001101 [2,1,6,3,5,7,4]=>[3,6,5,4,7,1,2]=>100110=>011001 [2,1,6,3,7,4,5]=>[3,6,4,7,5,1,2]=>100110=>011001 [2,1,6,3,7,5,4]=>[3,6,4,5,7,1,2]=>100100=>001001 [2,1,6,4,3,5,7]=>[7,3,4,6,5,1,2]=>101010=>010101 [2,1,6,4,3,7,5]=>[3,4,6,5,7,1,2]=>100010=>010001 [2,1,6,4,5,3,7]=>[7,4,6,3,5,1,2]=>101100=>001101 [2,1,6,4,5,7,3]=>[4,6,5,3,7,1,2]=>101010=>010101 [2,1,6,4,7,3,5]=>[4,6,3,7,5,1,2]=>101010=>010101 [2,1,6,4,7,5,3]=>[4,6,3,5,7,1,2]=>101000=>000101 [2,1,6,5,3,4,7]=>[7,3,5,6,4,1,2]=>101100=>001101 [2,1,6,5,3,7,4]=>[3,5,6,4,7,1,2]=>100100=>001001 [2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>101000=>000101 [2,1,6,5,4,7,3]=>[4,5,6,3,7,1,2]=>101000=>000101 [2,1,6,5,7,3,4]=>[5,6,3,7,4,1,2]=>101100=>001101 [2,1,6,5,7,4,3]=>[5,6,3,4,7,1,2]=>101000=>000101 [2,1,6,7,3,4,5]=>[6,3,7,5,4,1,2]=>101110=>011101 [2,1,6,7,3,5,4]=>[6,3,7,4,5,1,2]=>101100=>001101 [2,1,6,7,4,3,5]=>[6,3,4,7,5,1,2]=>101010=>010101 [2,1,6,7,4,5,3]=>[6,4,7,3,5,1,2]=>101100=>001101 [2,1,6,7,5,3,4]=>[6,3,5,7,4,1,2]=>101100=>001101 [2,1,6,7,5,4,3]=>[6,3,4,5,7,1,2]=>101000=>000101 [2,1,7,3,4,5,6]=>[3,7,6,5,4,1,2]=>100111=>111001 [2,1,7,3,4,6,5]=>[3,7,5,6,4,1,2]=>100110=>011001 [2,1,7,3,5,4,6]=>[3,7,6,4,5,1,2]=>100101=>101001 [2,1,7,3,5,6,4]=>[3,7,5,4,6,1,2]=>100110=>011001 [2,1,7,3,6,4,5]=>[3,7,4,6,5,1,2]=>100110=>011001 [2,1,7,3,6,5,4]=>[3,7,4,5,6,1,2]=>100100=>001001 [2,1,7,4,3,5,6]=>[3,4,7,6,5,1,2]=>100011=>110001 [2,1,7,4,3,6,5]=>[3,4,7,5,6,1,2]=>100010=>010001 [2,1,7,4,5,3,6]=>[4,7,6,3,5,1,2]=>101001=>100101 [2,1,7,4,5,6,3]=>[4,7,5,3,6,1,2]=>101010=>010101 [2,1,7,4,6,3,5]=>[4,7,3,6,5,1,2]=>101010=>010101 [2,1,7,4,6,5,3]=>[4,7,3,5,6,1,2]=>101000=>000101 [2,1,7,5,3,4,6]=>[3,5,7,6,4,1,2]=>100101=>101001 [2,1,7,5,3,6,4]=>[3,5,7,4,6,1,2]=>100100=>001001 [2,1,7,5,4,3,6]=>[3,4,5,7,6,1,2]=>100001=>100001 [2,1,7,5,4,6,3]=>[4,5,7,3,6,1,2]=>101000=>000101 [2,1,7,5,6,3,4]=>[5,7,3,6,4,1,2]=>101100=>001101 [2,1,7,5,6,4,3]=>[5,7,3,4,6,1,2]=>101000=>000101 [2,1,7,6,3,4,5]=>[3,6,7,5,4,1,2]=>100110=>011001 [2,1,7,6,3,5,4]=>[3,6,7,4,5,1,2]=>100100=>001001 [2,1,7,6,4,3,5]=>[3,4,6,7,5,1,2]=>100010=>010001 [2,1,7,6,4,5,3]=>[4,6,7,3,5,1,2]=>101000=>000101 [2,1,7,6,5,3,4]=>[3,5,6,7,4,1,2]=>100100=>001001 [2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>100000=>000001 [2,3,1,4,5,6,7]=>[7,6,5,4,2,1,3]=>110111=>111011 [2,3,1,4,5,7,6]=>[6,7,5,4,2,1,3]=>110110=>011011 [2,3,1,4,6,5,7]=>[7,5,6,4,2,1,3]=>110110=>011011 [2,3,1,4,6,7,5]=>[6,5,7,4,2,1,3]=>110110=>011011 [2,3,1,4,7,5,6]=>[5,7,6,4,2,1,3]=>110101=>101011 [2,3,1,4,7,6,5]=>[5,6,7,4,2,1,3]=>110100=>001011 [2,3,1,5,4,6,7]=>[7,6,4,5,2,1,3]=>110101=>101011 [2,3,1,5,4,7,6]=>[6,7,4,5,2,1,3]=>110100=>001011 [2,3,1,5,6,4,7]=>[7,5,4,6,2,1,3]=>110110=>011011 [2,3,1,5,6,7,4]=>[6,5,4,7,2,1,3]=>110110=>011011 [2,3,1,5,7,4,6]=>[5,4,7,6,2,1,3]=>110101=>101011 [2,3,1,5,7,6,4]=>[5,4,6,7,2,1,3]=>110100=>001011 [2,3,1,6,4,5,7]=>[7,4,6,5,2,1,3]=>110110=>011011 [2,3,1,6,4,7,5]=>[4,6,5,7,2,1,3]=>110010=>010011 [2,3,1,6,5,4,7]=>[7,4,5,6,2,1,3]=>110100=>001011 [2,3,1,6,5,7,4]=>[5,6,4,7,2,1,3]=>110100=>001011 [2,3,1,6,7,4,5]=>[6,4,7,5,2,1,3]=>110110=>011011 [2,3,1,6,7,5,4]=>[6,4,5,7,2,1,3]=>110100=>001011 [2,3,1,7,4,5,6]=>[4,7,6,5,2,1,3]=>110011=>110011 [2,3,1,7,4,6,5]=>[4,7,5,6,2,1,3]=>110010=>010011 [2,3,1,7,5,4,6]=>[4,5,7,6,2,1,3]=>110001=>100011 [2,3,1,7,5,6,4]=>[5,7,4,6,2,1,3]=>110100=>001011 [2,3,1,7,6,4,5]=>[4,6,7,5,2,1,3]=>110010=>010011 [2,3,1,7,6,5,4]=>[4,5,6,7,2,1,3]=>110000=>000011 [2,3,4,1,5,6,7]=>[7,6,5,3,2,1,4]=>111011=>110111 [2,3,4,1,5,7,6]=>[6,7,5,3,2,1,4]=>111010=>010111 [2,3,4,1,6,5,7]=>[7,5,6,3,2,1,4]=>111010=>010111 [2,3,4,1,6,7,5]=>[6,5,7,3,2,1,4]=>111010=>010111 [2,3,4,1,7,5,6]=>[5,7,6,3,2,1,4]=>111001=>100111 [2,3,4,1,7,6,5]=>[5,6,7,3,2,1,4]=>111000=>000111 [2,3,4,5,1,6,7]=>[7,6,4,3,2,1,5]=>111101=>101111 [2,3,4,5,1,7,6]=>[6,7,4,3,2,1,5]=>111100=>001111 [2,3,4,5,6,1,7]=>[7,5,4,3,2,1,6]=>111110=>011111 [2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>111110=>011111 [2,3,4,5,7,1,6]=>[5,4,3,2,1,7,6]=>111101=>101111 [2,3,4,5,7,6,1]=>[5,4,3,2,1,6,7]=>111100=>001111 [2,3,4,6,1,5,7]=>[7,4,3,2,1,6,5]=>111110=>011111 [2,3,4,6,1,7,5]=>[4,3,2,1,6,5,7]=>111010=>010111 [2,3,4,6,5,1,7]=>[7,4,3,2,1,5,6]=>111100=>001111 [2,3,4,6,5,7,1]=>[5,6,4,3,2,1,7]=>111100=>001111 [2,3,4,6,7,1,5]=>[6,4,3,2,1,7,5]=>111110=>011111 [2,3,4,6,7,5,1]=>[6,4,3,2,1,5,7]=>111100=>001111 [2,3,4,7,1,5,6]=>[4,3,2,1,7,6,5]=>111011=>110111 [2,3,4,7,1,6,5]=>[4,3,2,1,7,5,6]=>111010=>010111 [2,3,4,7,5,1,6]=>[4,3,2,1,5,7,6]=>111001=>100111 [2,3,4,7,5,6,1]=>[5,7,4,3,2,1,6]=>111100=>001111 [2,3,4,7,6,1,5]=>[4,3,2,1,6,7,5]=>111010=>010111 [2,3,4,7,6,5,1]=>[4,3,2,1,5,6,7]=>111000=>000111 [2,3,5,1,4,6,7]=>[7,6,3,2,1,5,4]=>111101=>101111 [2,3,5,1,4,7,6]=>[6,7,3,2,1,5,4]=>111100=>001111 [2,3,5,1,6,4,7]=>[7,3,2,1,5,4,6]=>111100=>001111 [2,3,5,1,6,7,4]=>[6,3,2,1,5,4,7]=>111100=>001111 [2,3,5,1,7,4,6]=>[3,2,1,5,4,7,6]=>110101=>101011 [2,3,5,1,7,6,4]=>[3,2,1,5,4,6,7]=>110100=>001011 [2,3,5,4,1,6,7]=>[7,6,3,2,1,4,5]=>111001=>100111 [2,3,5,4,1,7,6]=>[6,7,3,2,1,4,5]=>111000=>000111 [2,3,5,4,6,1,7]=>[7,4,5,3,2,1,6]=>111100=>001111 [2,3,5,4,6,7,1]=>[6,4,5,3,2,1,7]=>111100=>001111 [2,3,5,4,7,1,6]=>[4,5,3,2,1,7,6]=>111001=>100111 [2,3,5,4,7,6,1]=>[4,5,3,2,1,6,7]=>111000=>000111 [2,3,5,6,1,4,7]=>[7,5,3,2,1,6,4]=>111110=>011111 [2,3,5,6,1,7,4]=>[5,3,2,1,6,4,7]=>111100=>001111 [2,3,5,6,4,1,7]=>[7,5,3,2,1,4,6]=>111010=>010111 [2,3,5,6,4,7,1]=>[5,4,6,3,2,1,7]=>111100=>001111 [2,3,5,6,7,1,4]=>[6,5,3,2,1,7,4]=>111110=>011111 [2,3,5,6,7,4,1]=>[6,5,3,2,1,4,7]=>111010=>010111 [2,3,5,7,1,4,6]=>[5,3,2,1,7,6,4]=>111101=>101111 [2,3,5,7,1,6,4]=>[5,3,2,1,7,4,6]=>111100=>001111 [2,3,5,7,4,1,6]=>[5,3,2,1,4,7,6]=>111001=>100111 [2,3,5,7,4,6,1]=>[5,4,7,3,2,1,6]=>111100=>001111 [2,3,5,7,6,1,4]=>[5,3,2,1,6,7,4]=>111100=>001111 [2,3,5,7,6,4,1]=>[5,3,2,1,4,6,7]=>111000=>000111 [2,3,6,1,4,5,7]=>[7,3,2,1,6,5,4]=>111110=>011111 [2,3,6,1,4,7,5]=>[3,2,1,6,5,7,4]=>110110=>011011 [2,3,6,1,5,4,7]=>[7,3,2,1,6,4,5]=>111100=>001111 [2,3,6,1,5,7,4]=>[3,2,1,6,5,4,7]=>110110=>011011 [2,3,6,1,7,4,5]=>[3,2,1,6,4,7,5]=>110110=>011011 [2,3,6,1,7,5,4]=>[3,2,1,6,4,5,7]=>110100=>001011 [2,3,6,4,1,5,7]=>[7,3,2,1,4,6,5]=>111010=>010111 [2,3,6,4,1,7,5]=>[3,2,1,4,6,5,7]=>110010=>010011 [2,3,6,4,5,1,7]=>[7,4,6,3,2,1,5]=>111100=>001111 [2,3,6,4,5,7,1]=>[4,6,5,3,2,1,7]=>111010=>010111 [2,3,6,4,7,1,5]=>[4,6,3,2,1,7,5]=>111010=>010111 [2,3,6,4,7,5,1]=>[4,6,3,2,1,5,7]=>111000=>000111 [2,3,6,5,1,4,7]=>[7,3,2,1,5,6,4]=>111100=>001111 [2,3,6,5,1,7,4]=>[3,2,1,5,6,4,7]=>110100=>001011 [2,3,6,5,4,1,7]=>[7,3,2,1,4,5,6]=>111000=>000111 [2,3,6,5,4,7,1]=>[4,5,6,3,2,1,7]=>111000=>000111 [2,3,6,5,7,1,4]=>[5,6,3,2,1,7,4]=>111100=>001111 [2,3,6,5,7,4,1]=>[5,6,3,2,1,4,7]=>111000=>000111 [2,3,6,7,1,4,5]=>[6,3,2,1,7,5,4]=>111110=>011111 [2,3,6,7,1,5,4]=>[6,3,2,1,7,4,5]=>111100=>001111 [2,3,6,7,4,1,5]=>[6,3,2,1,4,7,5]=>111010=>010111 [2,3,6,7,4,5,1]=>[6,4,7,3,2,1,5]=>111100=>001111 [2,3,6,7,5,1,4]=>[6,3,2,1,5,7,4]=>111100=>001111 [2,3,6,7,5,4,1]=>[6,3,2,1,4,5,7]=>111000=>000111 [2,3,7,1,4,5,6]=>[3,2,1,7,6,5,4]=>110111=>111011 [2,3,7,1,4,6,5]=>[3,2,1,7,5,6,4]=>110110=>011011 [2,3,7,1,5,4,6]=>[3,2,1,7,6,4,5]=>110101=>101011 [2,3,7,1,5,6,4]=>[3,2,1,7,5,4,6]=>110110=>011011 [2,3,7,1,6,4,5]=>[3,2,1,7,4,6,5]=>110110=>011011 [2,3,7,1,6,5,4]=>[3,2,1,7,4,5,6]=>110100=>001011 [2,3,7,4,1,5,6]=>[3,2,1,4,7,6,5]=>110011=>110011 [2,3,7,4,1,6,5]=>[3,2,1,4,7,5,6]=>110010=>010011 [2,3,7,4,5,1,6]=>[4,7,6,3,2,1,5]=>111001=>100111 [2,3,7,4,5,6,1]=>[4,7,5,3,2,1,6]=>111010=>010111 [2,3,7,4,6,1,5]=>[4,7,3,2,1,6,5]=>111010=>010111 [2,3,7,4,6,5,1]=>[4,7,3,2,1,5,6]=>111000=>000111 [2,3,7,5,1,4,6]=>[3,2,1,5,7,6,4]=>110101=>101011 [2,3,7,5,1,6,4]=>[3,2,1,5,7,4,6]=>110100=>001011 [2,3,7,5,4,1,6]=>[3,2,1,4,5,7,6]=>110001=>100011 [2,3,7,5,4,6,1]=>[4,5,7,3,2,1,6]=>111000=>000111 [2,3,7,5,6,1,4]=>[5,7,3,2,1,6,4]=>111100=>001111 [2,3,7,5,6,4,1]=>[5,7,3,2,1,4,6]=>111000=>000111 [2,3,7,6,1,4,5]=>[3,2,1,6,7,5,4]=>110110=>011011 [2,3,7,6,1,5,4]=>[3,2,1,6,7,4,5]=>110100=>001011 [2,3,7,6,4,1,5]=>[3,2,1,4,6,7,5]=>110010=>010011 [2,3,7,6,4,5,1]=>[4,6,7,3,2,1,5]=>111000=>000111 [2,3,7,6,5,1,4]=>[3,2,1,5,6,7,4]=>110100=>001011 [2,3,7,6,5,4,1]=>[3,2,1,4,5,6,7]=>110000=>000011 [2,4,1,3,5,6,7]=>[7,6,5,2,1,4,3]=>111011=>110111 [2,4,1,3,5,7,6]=>[6,7,5,2,1,4,3]=>111010=>010111 [2,4,1,3,6,5,7]=>[7,5,6,2,1,4,3]=>111010=>010111 [2,4,1,3,6,7,5]=>[6,5,7,2,1,4,3]=>111010=>010111 [2,4,1,3,7,5,6]=>[5,7,6,2,1,4,3]=>111001=>100111 [2,4,1,3,7,6,5]=>[5,6,7,2,1,4,3]=>111000=>000111 [2,4,1,5,3,6,7]=>[7,6,2,1,4,3,5]=>111001=>100111 [2,4,1,5,3,7,6]=>[6,7,2,1,4,3,5]=>111000=>000111 [2,4,1,5,6,3,7]=>[7,5,2,1,4,3,6]=>111010=>010111 [2,4,1,5,6,7,3]=>[6,5,2,1,4,3,7]=>111010=>010111 [2,4,1,5,7,3,6]=>[5,2,1,4,3,7,6]=>111001=>100111 [2,4,1,5,7,6,3]=>[5,2,1,4,3,6,7]=>111000=>000111 [2,4,1,6,3,5,7]=>[7,2,1,4,3,6,5]=>111010=>010111 [2,4,1,6,3,7,5]=>[2,1,4,3,6,5,7]=>101010=>010101 [2,4,1,6,5,3,7]=>[7,2,1,4,3,5,6]=>111000=>000111 [2,4,1,6,5,7,3]=>[5,6,2,1,4,3,7]=>111000=>000111 [2,4,1,6,7,3,5]=>[6,2,1,4,3,7,5]=>111010=>010111 [2,4,1,6,7,5,3]=>[6,2,1,4,3,5,7]=>111000=>000111 [2,4,1,7,3,5,6]=>[2,1,4,3,7,6,5]=>101011=>110101 [2,4,1,7,3,6,5]=>[2,1,4,3,7,5,6]=>101010=>010101 [2,4,1,7,5,3,6]=>[2,1,4,3,5,7,6]=>101001=>100101 [2,4,1,7,5,6,3]=>[5,7,2,1,4,3,6]=>111000=>000111 [2,4,1,7,6,3,5]=>[2,1,4,3,6,7,5]=>101010=>010101 [2,4,1,7,6,5,3]=>[2,1,4,3,5,6,7]=>101000=>000101 [2,4,3,1,5,6,7]=>[7,6,5,2,1,3,4]=>110011=>110011 [2,4,3,1,5,7,6]=>[6,7,5,2,1,3,4]=>110010=>010011 [2,4,3,1,6,5,7]=>[7,5,6,2,1,3,4]=>110010=>010011 [2,4,3,1,6,7,5]=>[6,5,7,2,1,3,4]=>110010=>010011 [2,4,3,1,7,5,6]=>[5,7,6,2,1,3,4]=>110001=>100011 [2,4,3,1,7,6,5]=>[5,6,7,2,1,3,4]=>110000=>000011 [2,4,3,5,1,6,7]=>[7,6,3,4,2,1,5]=>111001=>100111 [2,4,3,5,1,7,6]=>[6,7,3,4,2,1,5]=>111000=>000111 [2,4,3,5,6,1,7]=>[7,5,3,4,2,1,6]=>111010=>010111 [2,4,3,5,6,7,1]=>[6,5,3,4,2,1,7]=>111010=>010111 [2,4,3,5,7,1,6]=>[5,3,4,2,1,7,6]=>111001=>100111 [2,4,3,5,7,6,1]=>[5,3,4,2,1,6,7]=>111000=>000111 [2,4,3,6,1,5,7]=>[7,3,4,2,1,6,5]=>111010=>010111 [2,4,3,6,1,7,5]=>[3,4,2,1,6,5,7]=>110010=>010011 [2,4,3,6,5,1,7]=>[7,3,4,2,1,5,6]=>111000=>000111 [2,4,3,6,5,7,1]=>[5,6,3,4,2,1,7]=>111000=>000111 [2,4,3,6,7,1,5]=>[6,3,4,2,1,7,5]=>111010=>010111 [2,4,3,6,7,5,1]=>[6,3,4,2,1,5,7]=>111000=>000111 [2,4,3,7,1,5,6]=>[3,4,2,1,7,6,5]=>110011=>110011 [2,4,3,7,1,6,5]=>[3,4,2,1,7,5,6]=>110010=>010011 [2,4,3,7,5,1,6]=>[3,4,2,1,5,7,6]=>110001=>100011 [2,4,3,7,5,6,1]=>[5,7,3,4,2,1,6]=>111000=>000111 [2,4,3,7,6,1,5]=>[3,4,2,1,6,7,5]=>110010=>010011 [2,4,3,7,6,5,1]=>[3,4,2,1,5,6,7]=>110000=>000011 [2,4,5,1,3,6,7]=>[7,6,4,2,1,5,3]=>111101=>101111 [2,4,5,1,3,7,6]=>[6,7,4,2,1,5,3]=>111100=>001111 [2,4,5,1,6,3,7]=>[7,4,2,1,5,3,6]=>111100=>001111 [2,4,5,1,6,7,3]=>[6,4,2,1,5,3,7]=>111100=>001111 [2,4,5,1,7,3,6]=>[4,2,1,5,3,7,6]=>111001=>100111 [2,4,5,1,7,6,3]=>[4,2,1,5,3,6,7]=>111000=>000111 [2,4,5,3,1,6,7]=>[7,6,4,2,1,3,5]=>110101=>101011 [2,4,5,3,1,7,6]=>[6,7,4,2,1,3,5]=>110100=>001011 [2,4,5,3,6,1,7]=>[7,4,3,5,2,1,6]=>111100=>001111 [2,4,5,3,6,7,1]=>[6,4,3,5,2,1,7]=>111100=>001111 [2,4,5,3,7,1,6]=>[4,3,5,2,1,7,6]=>111001=>100111 [2,4,5,3,7,6,1]=>[4,3,5,2,1,6,7]=>111000=>000111 [2,4,5,6,1,3,7]=>[7,5,4,2,1,6,3]=>111110=>011111 [2,4,5,6,1,7,3]=>[5,4,2,1,6,3,7]=>111100=>001111 [2,4,5,6,3,1,7]=>[7,5,4,2,1,3,6]=>110110=>011011 [2,4,5,6,3,7,1]=>[5,4,3,6,2,1,7]=>111100=>001111 [2,4,5,6,7,1,3]=>[6,5,4,2,1,7,3]=>111110=>011111 [2,4,5,6,7,3,1]=>[6,5,4,2,1,3,7]=>110110=>011011 [2,4,5,7,1,3,6]=>[5,4,2,1,7,6,3]=>111101=>101111 [2,4,5,7,1,6,3]=>[5,4,2,1,7,3,6]=>111100=>001111 [2,4,5,7,3,1,6]=>[5,4,2,1,3,7,6]=>110101=>101011 [2,4,5,7,3,6,1]=>[5,4,3,7,2,1,6]=>111100=>001111 [2,4,5,7,6,1,3]=>[5,4,2,1,6,7,3]=>111100=>001111 [2,4,5,7,6,3,1]=>[5,4,2,1,3,6,7]=>110100=>001011 [2,4,6,1,3,5,7]=>[7,4,2,1,6,5,3]=>111110=>011111 [2,4,6,1,3,7,5]=>[4,2,1,6,5,7,3]=>111010=>010111 [2,4,6,1,5,3,7]=>[7,4,2,1,6,3,5]=>111100=>001111 [2,4,6,1,5,7,3]=>[4,2,1,6,5,3,7]=>111010=>010111 [2,4,6,1,7,3,5]=>[4,2,1,6,3,7,5]=>111010=>010111 [2,4,6,1,7,5,3]=>[4,2,1,6,3,5,7]=>111000=>000111 [2,4,6,3,1,5,7]=>[7,4,2,1,3,6,5]=>110110=>011011 [2,4,6,3,1,7,5]=>[4,2,1,3,6,5,7]=>110010=>010011 [2,4,6,3,5,1,7]=>[7,4,3,6,2,1,5]=>111100=>001111 [2,4,6,3,5,7,1]=>[4,3,6,5,2,1,7]=>111010=>010111 [2,4,6,3,7,1,5]=>[4,3,6,2,1,7,5]=>111010=>010111 [2,4,6,3,7,5,1]=>[4,3,6,2,1,5,7]=>111000=>000111 [2,4,6,5,1,3,7]=>[7,4,2,1,5,6,3]=>111100=>001111 [2,4,6,5,1,7,3]=>[4,2,1,5,6,3,7]=>111000=>000111 [2,4,6,5,3,1,7]=>[7,4,2,1,3,5,6]=>110100=>001011 [2,4,6,5,3,7,1]=>[4,3,5,6,2,1,7]=>111000=>000111 [2,4,6,5,7,1,3]=>[5,6,4,2,1,7,3]=>111100=>001111 [2,4,6,5,7,3,1]=>[5,6,4,2,1,3,7]=>110100=>001011 [2,4,6,7,1,3,5]=>[6,4,2,1,7,5,3]=>111110=>011111 [2,4,6,7,1,5,3]=>[6,4,2,1,7,3,5]=>111100=>001111 [2,4,6,7,3,1,5]=>[6,4,2,1,3,7,5]=>110110=>011011 [2,4,6,7,3,5,1]=>[6,4,3,7,2,1,5]=>111100=>001111 [2,4,6,7,5,1,3]=>[6,4,2,1,5,7,3]=>111100=>001111 [2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>110100=>001011 [2,4,7,1,3,5,6]=>[4,2,1,7,6,5,3]=>111011=>110111 [2,4,7,1,3,6,5]=>[4,2,1,7,5,6,3]=>111010=>010111 [2,4,7,1,5,3,6]=>[4,2,1,7,6,3,5]=>111001=>100111 [2,4,7,1,5,6,3]=>[4,2,1,7,5,3,6]=>111010=>010111 [2,4,7,1,6,3,5]=>[4,2,1,7,3,6,5]=>111010=>010111 [2,4,7,1,6,5,3]=>[4,2,1,7,3,5,6]=>111000=>000111 [2,4,7,3,1,5,6]=>[4,2,1,3,7,6,5]=>110011=>110011 [2,4,7,3,1,6,5]=>[4,2,1,3,7,5,6]=>110010=>010011 [2,4,7,3,5,1,6]=>[4,3,7,6,2,1,5]=>111001=>100111 [2,4,7,3,5,6,1]=>[4,3,7,5,2,1,6]=>111010=>010111 [2,4,7,3,6,1,5]=>[4,3,7,2,1,6,5]=>111010=>010111 [2,4,7,3,6,5,1]=>[4,3,7,2,1,5,6]=>111000=>000111 [2,4,7,5,1,3,6]=>[4,2,1,5,7,6,3]=>111001=>100111 [2,4,7,5,1,6,3]=>[4,2,1,5,7,3,6]=>111000=>000111 [2,4,7,5,3,1,6]=>[4,2,1,3,5,7,6]=>110001=>100011 [2,4,7,5,3,6,1]=>[4,3,5,7,2,1,6]=>111000=>000111 [2,4,7,5,6,1,3]=>[5,7,4,2,1,6,3]=>111100=>001111 [2,4,7,5,6,3,1]=>[5,7,4,2,1,3,6]=>110100=>001011 [2,4,7,6,1,3,5]=>[4,2,1,6,7,5,3]=>111010=>010111 [2,4,7,6,1,5,3]=>[4,2,1,6,7,3,5]=>111000=>000111 [2,4,7,6,3,1,5]=>[4,2,1,3,6,7,5]=>110010=>010011 [2,4,7,6,3,5,1]=>[4,3,6,7,2,1,5]=>111000=>000111 [2,4,7,6,5,1,3]=>[4,2,1,5,6,7,3]=>111000=>000111 [2,4,7,6,5,3,1]=>[4,2,1,3,5,6,7]=>110000=>000011 [2,5,1,3,4,6,7]=>[7,6,2,1,5,4,3]=>111101=>101111 [2,5,1,3,4,7,6]=>[6,7,2,1,5,4,3]=>111100=>001111 [2,5,1,3,6,4,7]=>[7,2,1,5,4,6,3]=>111100=>001111 [2,5,1,3,6,7,4]=>[6,2,1,5,4,7,3]=>111100=>001111 [2,5,1,3,7,4,6]=>[2,1,5,4,7,6,3]=>101101=>101101 [2,5,1,3,7,6,4]=>[2,1,5,4,6,7,3]=>101100=>001101 [2,5,1,4,3,6,7]=>[7,6,2,1,5,3,4]=>111001=>100111 [2,5,1,4,3,7,6]=>[6,7,2,1,5,3,4]=>111000=>000111 [2,5,1,4,6,3,7]=>[7,2,1,5,4,3,6]=>111100=>001111 [2,5,1,4,6,7,3]=>[6,2,1,5,4,3,7]=>111100=>001111 [2,5,1,4,7,3,6]=>[2,1,5,4,3,7,6]=>101101=>101101 [2,5,1,4,7,6,3]=>[2,1,5,4,3,6,7]=>101100=>001101 [2,5,1,6,3,4,7]=>[7,2,1,5,3,6,4]=>111100=>001111 [2,5,1,6,3,7,4]=>[2,1,5,3,6,4,7]=>101100=>001101 [2,5,1,6,4,3,7]=>[7,2,1,5,3,4,6]=>111000=>000111 [2,5,1,6,4,7,3]=>[2,1,5,4,6,3,7]=>101100=>001101 [2,5,1,6,7,3,4]=>[6,2,1,5,3,7,4]=>111100=>001111 [2,5,1,6,7,4,3]=>[6,2,1,5,3,4,7]=>111000=>000111 [2,5,1,7,3,4,6]=>[2,1,5,3,7,6,4]=>101101=>101101 [2,5,1,7,3,6,4]=>[2,1,5,3,7,4,6]=>101100=>001101 [2,5,1,7,4,3,6]=>[2,1,5,3,4,7,6]=>101001=>100101 [2,5,1,7,4,6,3]=>[2,1,5,4,7,3,6]=>101100=>001101 [2,5,1,7,6,3,4]=>[2,1,5,3,6,7,4]=>101100=>001101 [2,5,1,7,6,4,3]=>[2,1,5,3,4,6,7]=>101000=>000101 [2,5,3,1,4,6,7]=>[7,6,2,1,3,5,4]=>110101=>101011 [2,5,3,1,4,7,6]=>[6,7,2,1,3,5,4]=>110100=>001011 [2,5,3,1,6,4,7]=>[7,2,1,3,5,4,6]=>110100=>001011 [2,5,3,1,6,7,4]=>[6,2,1,3,5,4,7]=>110100=>001011 [2,5,3,1,7,4,6]=>[2,1,3,5,4,7,6]=>100101=>101001 [2,5,3,1,7,6,4]=>[2,1,3,5,4,6,7]=>100100=>001001 [2,5,3,4,1,6,7]=>[7,6,3,5,2,1,4]=>111001=>100111 [2,5,3,4,1,7,6]=>[6,7,3,5,2,1,4]=>111000=>000111 [2,5,3,4,6,1,7]=>[7,3,5,4,2,1,6]=>111100=>001111 [2,5,3,4,6,7,1]=>[6,3,5,4,2,1,7]=>111100=>001111 [2,5,3,4,7,1,6]=>[3,5,4,2,1,7,6]=>110101=>101011 [2,5,3,4,7,6,1]=>[3,5,4,2,1,6,7]=>110100=>001011 [2,5,3,6,1,4,7]=>[7,3,5,2,1,6,4]=>111100=>001111 [2,5,3,6,1,7,4]=>[3,5,2,1,6,4,7]=>110100=>001011 [2,5,3,6,4,1,7]=>[7,3,5,2,1,4,6]=>111000=>000111 [2,5,3,6,4,7,1]=>[3,5,4,6,2,1,7]=>110100=>001011 [2,5,3,6,7,1,4]=>[6,3,5,2,1,7,4]=>111100=>001111 [2,5,3,6,7,4,1]=>[6,3,5,2,1,4,7]=>111000=>000111 [2,5,3,7,1,4,6]=>[3,5,2,1,7,6,4]=>110101=>101011 [2,5,3,7,1,6,4]=>[3,5,2,1,7,4,6]=>110100=>001011 [2,5,3,7,4,1,6]=>[3,5,2,1,4,7,6]=>110001=>100011 [2,5,3,7,4,6,1]=>[3,5,4,7,2,1,6]=>110100=>001011 [2,5,3,7,6,1,4]=>[3,5,2,1,6,7,4]=>110100=>001011 [2,5,3,7,6,4,1]=>[3,5,2,1,4,6,7]=>110000=>000011 [2,5,4,1,3,6,7]=>[7,6,2,1,4,5,3]=>111001=>100111 [2,5,4,1,3,7,6]=>[6,7,2,1,4,5,3]=>111000=>000111 [2,5,4,1,6,3,7]=>[7,2,1,4,5,3,6]=>111000=>000111 [2,5,4,1,6,7,3]=>[6,2,1,4,5,3,7]=>111000=>000111 [2,5,4,1,7,3,6]=>[2,1,4,5,3,7,6]=>101001=>100101 [2,5,4,1,7,6,3]=>[2,1,4,5,3,6,7]=>101000=>000101 [2,5,4,3,1,6,7]=>[7,6,2,1,3,4,5]=>110001=>100011 [2,5,4,3,1,7,6]=>[6,7,2,1,3,4,5]=>110000=>000011 [2,5,4,3,6,1,7]=>[7,3,4,5,2,1,6]=>111000=>000111 [2,5,4,3,6,7,1]=>[6,3,4,5,2,1,7]=>111000=>000111 [2,5,4,3,7,1,6]=>[3,4,5,2,1,7,6]=>110001=>100011 [2,5,4,3,7,6,1]=>[3,4,5,2,1,6,7]=>110000=>000011 [2,5,4,6,1,3,7]=>[7,4,5,2,1,6,3]=>111100=>001111 [2,5,4,6,1,7,3]=>[4,5,2,1,6,3,7]=>111000=>000111 [2,5,4,6,3,1,7]=>[7,4,5,2,1,3,6]=>110100=>001011 [2,5,4,6,3,7,1]=>[4,5,3,6,2,1,7]=>111000=>000111 [2,5,4,6,7,1,3]=>[6,4,5,2,1,7,3]=>111100=>001111 [2,5,4,6,7,3,1]=>[6,4,5,2,1,3,7]=>110100=>001011 [2,5,4,7,1,3,6]=>[4,5,2,1,7,6,3]=>111001=>100111 [2,5,4,7,1,6,3]=>[4,5,2,1,7,3,6]=>111000=>000111 [2,5,4,7,3,1,6]=>[4,5,2,1,3,7,6]=>110001=>100011 [2,5,4,7,3,6,1]=>[4,5,3,7,2,1,6]=>111000=>000111 [2,5,4,7,6,1,3]=>[4,5,2,1,6,7,3]=>111000=>000111 [2,5,4,7,6,3,1]=>[4,5,2,1,3,6,7]=>110000=>000011 [2,5,6,1,3,4,7]=>[7,5,2,1,6,4,3]=>111110=>011111 [2,5,6,1,3,7,4]=>[5,2,1,6,4,7,3]=>111100=>001111 [2,5,6,1,4,3,7]=>[7,5,2,1,6,3,4]=>111010=>010111 [2,5,6,1,4,7,3]=>[5,2,1,6,4,3,7]=>111100=>001111 [2,5,6,1,7,3,4]=>[5,2,1,6,3,7,4]=>111100=>001111 [2,5,6,1,7,4,3]=>[5,2,1,6,3,4,7]=>111000=>000111 [2,5,6,3,1,4,7]=>[7,5,2,1,3,6,4]=>110110=>011011 [2,5,6,3,1,7,4]=>[5,2,1,3,6,4,7]=>110100=>001011 [2,5,6,3,4,1,7]=>[7,5,3,6,2,1,4]=>111010=>010111 [2,5,6,3,4,7,1]=>[5,3,6,4,2,1,7]=>111100=>001111 [2,5,6,3,7,1,4]=>[5,3,6,2,1,7,4]=>111100=>001111 [2,5,6,3,7,4,1]=>[5,3,6,2,1,4,7]=>111000=>000111 [2,5,6,4,1,3,7]=>[7,5,2,1,4,6,3]=>111010=>010111 [2,5,6,4,1,7,3]=>[5,2,1,4,6,3,7]=>111000=>000111 [2,5,6,4,3,1,7]=>[7,5,2,1,3,4,6]=>110010=>010011 [2,5,6,4,3,7,1]=>[5,3,4,6,2,1,7]=>111000=>000111 [2,5,6,4,7,1,3]=>[5,4,6,2,1,7,3]=>111100=>001111 [2,5,6,4,7,3,1]=>[5,4,6,2,1,3,7]=>110100=>001011 [2,5,6,7,1,3,4]=>[6,5,2,1,7,4,3]=>111110=>011111 [2,5,6,7,1,4,3]=>[6,5,2,1,7,3,4]=>111010=>010111 [2,5,6,7,3,1,4]=>[6,5,2,1,3,7,4]=>110110=>011011 [2,5,6,7,3,4,1]=>[6,5,3,7,2,1,4]=>111010=>010111 [2,5,6,7,4,1,3]=>[6,5,2,1,4,7,3]=>111010=>010111 [2,5,6,7,4,3,1]=>[6,5,2,1,3,4,7]=>110010=>010011 [2,5,7,1,3,4,6]=>[5,2,1,7,6,4,3]=>111101=>101111 [2,5,7,1,3,6,4]=>[5,2,1,7,4,6,3]=>111100=>001111 [2,5,7,1,4,3,6]=>[5,2,1,7,6,3,4]=>111001=>100111 [2,5,7,1,4,6,3]=>[5,2,1,7,4,3,6]=>111100=>001111 [2,5,7,1,6,3,4]=>[5,2,1,7,3,6,4]=>111100=>001111 [2,5,7,1,6,4,3]=>[5,2,1,7,3,4,6]=>111000=>000111 [2,5,7,3,1,4,6]=>[5,2,1,3,7,6,4]=>110101=>101011 [2,5,7,3,1,6,4]=>[5,2,1,3,7,4,6]=>110100=>001011 [2,5,7,3,4,1,6]=>[5,3,7,6,2,1,4]=>111001=>100111 [2,5,7,3,4,6,1]=>[5,3,7,4,2,1,6]=>111100=>001111 [2,5,7,3,6,1,4]=>[5,3,7,2,1,6,4]=>111100=>001111 [2,5,7,3,6,4,1]=>[5,3,7,2,1,4,6]=>111000=>000111 [2,5,7,4,1,3,6]=>[5,2,1,4,7,6,3]=>111001=>100111 [2,5,7,4,1,6,3]=>[5,2,1,4,7,3,6]=>111000=>000111 [2,5,7,4,3,1,6]=>[5,2,1,3,4,7,6]=>110001=>100011 [2,5,7,4,3,6,1]=>[5,3,4,7,2,1,6]=>111000=>000111 [2,5,7,4,6,1,3]=>[5,4,7,2,1,6,3]=>111100=>001111 [2,5,7,4,6,3,1]=>[5,4,7,2,1,3,6]=>110100=>001011 [2,5,7,6,1,3,4]=>[5,2,1,6,7,4,3]=>111100=>001111 [2,5,7,6,1,4,3]=>[5,2,1,6,7,3,4]=>111000=>000111 [2,5,7,6,3,1,4]=>[5,2,1,3,6,7,4]=>110100=>001011 [2,5,7,6,3,4,1]=>[5,3,6,7,2,1,4]=>111000=>000111 [2,5,7,6,4,1,3]=>[5,2,1,4,6,7,3]=>111000=>000111 [2,5,7,6,4,3,1]=>[5,2,1,3,4,6,7]=>110000=>000011 [2,6,1,3,4,5,7]=>[7,2,1,6,5,4,3]=>111110=>011111 [2,6,1,3,4,7,5]=>[2,1,6,5,7,4,3]=>101110=>011101 [2,6,1,3,5,4,7]=>[7,2,1,6,4,5,3]=>111100=>001111 [2,6,1,3,5,7,4]=>[2,1,6,5,4,7,3]=>101110=>011101 [2,6,1,3,7,4,5]=>[2,1,6,4,7,5,3]=>101110=>011101 [2,6,1,3,7,5,4]=>[2,1,6,4,5,7,3]=>101100=>001101 [2,6,1,4,3,5,7]=>[7,2,1,6,5,3,4]=>111010=>010111 [2,6,1,4,3,7,5]=>[2,1,6,5,7,3,4]=>101010=>010101 [2,6,1,4,5,3,7]=>[7,2,1,6,4,3,5]=>111100=>001111 [2,6,1,4,5,7,3]=>[2,1,6,5,4,3,7]=>101110=>011101 [2,6,1,4,7,3,5]=>[2,1,6,4,3,7,5]=>101110=>011101 [2,6,1,4,7,5,3]=>[2,1,6,4,3,5,7]=>101100=>001101 [2,6,1,5,3,4,7]=>[7,2,1,6,3,5,4]=>111100=>001111 [2,6,1,5,3,7,4]=>[2,1,6,3,5,4,7]=>101100=>001101 [2,6,1,5,4,3,7]=>[7,2,1,6,3,4,5]=>111000=>000111 [2,6,1,5,4,7,3]=>[2,1,6,4,5,3,7]=>101100=>001101 [2,6,1,5,7,3,4]=>[2,1,6,5,3,7,4]=>101110=>011101 [2,6,1,5,7,4,3]=>[2,1,6,5,3,4,7]=>101010=>010101 [2,6,1,7,3,4,5]=>[2,1,6,3,7,5,4]=>101110=>011101 [2,6,1,7,3,5,4]=>[2,1,6,3,7,4,5]=>101100=>001101 [2,6,1,7,4,3,5]=>[2,1,6,3,4,7,5]=>101010=>010101 [2,6,1,7,4,5,3]=>[2,1,6,4,7,3,5]=>101100=>001101 [2,6,1,7,5,3,4]=>[2,1,6,3,5,7,4]=>101100=>001101 [2,6,1,7,5,4,3]=>[2,1,6,3,4,5,7]=>101000=>000101 [2,6,3,1,4,5,7]=>[7,2,1,3,6,5,4]=>110110=>011011 [2,6,3,1,4,7,5]=>[2,1,3,6,5,7,4]=>100110=>011001 [2,6,3,1,5,4,7]=>[7,2,1,3,6,4,5]=>110100=>001011 [2,6,3,1,5,7,4]=>[2,1,3,6,5,4,7]=>100110=>011001 [2,6,3,1,7,4,5]=>[2,1,3,6,4,7,5]=>100110=>011001 [2,6,3,1,7,5,4]=>[2,1,3,6,4,5,7]=>100100=>001001 [2,6,3,4,1,5,7]=>[7,3,6,5,2,1,4]=>111010=>010111 [2,6,3,4,1,7,5]=>[3,6,5,7,2,1,4]=>110010=>010011 [2,6,3,4,5,1,7]=>[7,3,6,4,2,1,5]=>111100=>001111 [2,6,3,4,5,7,1]=>[3,6,5,4,2,1,7]=>110110=>011011 [2,6,3,4,7,1,5]=>[3,6,4,2,1,7,5]=>110110=>011011 [2,6,3,4,7,5,1]=>[3,6,4,2,1,5,7]=>110100=>001011 [2,6,3,5,1,4,7]=>[7,3,6,2,1,5,4]=>111100=>001111 [2,6,3,5,1,7,4]=>[3,6,2,1,5,4,7]=>110100=>001011 [2,6,3,5,4,1,7]=>[7,3,6,2,1,4,5]=>111000=>000111 [2,6,3,5,4,7,1]=>[3,6,4,5,2,1,7]=>110100=>001011 [2,6,3,5,7,1,4]=>[3,6,5,2,1,7,4]=>110110=>011011 [2,6,3,5,7,4,1]=>[3,6,5,2,1,4,7]=>110010=>010011 [2,6,3,7,1,4,5]=>[3,6,2,1,7,5,4]=>110110=>011011 [2,6,3,7,1,5,4]=>[3,6,2,1,7,4,5]=>110100=>001011 [2,6,3,7,4,1,5]=>[3,6,2,1,4,7,5]=>110010=>010011 [2,6,3,7,4,5,1]=>[3,6,4,7,2,1,5]=>110100=>001011 [2,6,3,7,5,1,4]=>[3,6,2,1,5,7,4]=>110100=>001011 [2,6,3,7,5,4,1]=>[3,6,2,1,4,5,7]=>110000=>000011 [2,6,4,1,3,5,7]=>[7,2,1,4,6,5,3]=>111010=>010111 [2,6,4,1,3,7,5]=>[2,1,4,6,5,7,3]=>101010=>010101 [2,6,4,1,5,3,7]=>[7,2,1,4,6,3,5]=>111000=>000111 [2,6,4,1,5,7,3]=>[2,1,4,6,5,3,7]=>101010=>010101 [2,6,4,1,7,3,5]=>[2,1,4,6,3,7,5]=>101010=>010101 [2,6,4,1,7,5,3]=>[2,1,4,6,3,5,7]=>101000=>000101 [2,6,4,3,1,5,7]=>[7,2,1,3,4,6,5]=>110010=>010011 [2,6,4,3,1,7,5]=>[2,1,3,4,6,5,7]=>100010=>010001 [2,6,4,3,5,1,7]=>[7,3,4,6,2,1,5]=>111000=>000111 [2,6,4,3,5,7,1]=>[3,4,6,5,2,1,7]=>110010=>010011 [2,6,4,3,7,1,5]=>[3,4,6,2,1,7,5]=>110010=>010011 [2,6,4,3,7,5,1]=>[3,4,6,2,1,5,7]=>110000=>000011 [2,6,4,5,1,3,7]=>[7,4,6,2,1,5,3]=>111100=>001111 [2,6,4,5,1,7,3]=>[4,6,2,1,5,3,7]=>111000=>000111 [2,6,4,5,3,1,7]=>[7,4,6,2,1,3,5]=>110100=>001011 [2,6,4,5,3,7,1]=>[4,6,3,5,2,1,7]=>111000=>000111 [2,6,4,5,7,1,3]=>[4,6,5,2,1,7,3]=>111010=>010111 [2,6,4,5,7,3,1]=>[4,6,5,2,1,3,7]=>110010=>010011 [2,6,4,7,1,3,5]=>[4,6,2,1,7,5,3]=>111010=>010111 [2,6,4,7,1,5,3]=>[4,6,2,1,7,3,5]=>111000=>000111 [2,6,4,7,3,1,5]=>[4,6,2,1,3,7,5]=>110010=>010011 [2,6,4,7,3,5,1]=>[4,6,3,7,2,1,5]=>111000=>000111 [2,6,4,7,5,1,3]=>[4,6,2,1,5,7,3]=>111000=>000111 [2,6,4,7,5,3,1]=>[4,6,2,1,3,5,7]=>110000=>000011 [2,6,5,1,3,4,7]=>[7,2,1,5,6,4,3]=>111100=>001111 [2,6,5,1,3,7,4]=>[2,1,5,6,4,7,3]=>101100=>001101 [2,6,5,1,4,3,7]=>[7,2,1,5,6,3,4]=>111000=>000111 [2,6,5,1,4,7,3]=>[2,1,5,6,4,3,7]=>101100=>001101 [2,6,5,1,7,3,4]=>[2,1,5,6,3,7,4]=>101100=>001101 [2,6,5,1,7,4,3]=>[2,1,5,6,3,4,7]=>101000=>000101 [2,6,5,3,1,4,7]=>[7,2,1,3,5,6,4]=>110100=>001011 [2,6,5,3,1,7,4]=>[2,1,3,5,6,4,7]=>100100=>001001 [2,6,5,3,4,1,7]=>[7,3,5,6,2,1,4]=>111000=>000111 [2,6,5,3,4,7,1]=>[3,5,6,4,2,1,7]=>110100=>001011 [2,6,5,3,7,1,4]=>[3,5,6,2,1,7,4]=>110100=>001011 [2,6,5,3,7,4,1]=>[3,5,6,2,1,4,7]=>110000=>000011 [2,6,5,4,1,3,7]=>[7,2,1,4,5,6,3]=>111000=>000111 [2,6,5,4,1,7,3]=>[2,1,4,5,6,3,7]=>101000=>000101 [2,6,5,4,3,1,7]=>[7,2,1,3,4,5,6]=>110000=>000011 [2,6,5,4,3,7,1]=>[3,4,5,6,2,1,7]=>110000=>000011 [2,6,5,4,7,1,3]=>[4,5,6,2,1,7,3]=>111000=>000111 [2,6,5,4,7,3,1]=>[4,5,6,2,1,3,7]=>110000=>000011 [2,6,5,7,1,3,4]=>[5,6,2,1,7,4,3]=>111100=>001111 [2,6,5,7,1,4,3]=>[5,6,2,1,7,3,4]=>111000=>000111 [2,6,5,7,3,1,4]=>[5,6,2,1,3,7,4]=>110100=>001011 [2,6,5,7,3,4,1]=>[5,6,3,7,2,1,4]=>111000=>000111 [2,6,5,7,4,1,3]=>[5,6,2,1,4,7,3]=>111000=>000111 [2,6,5,7,4,3,1]=>[5,6,2,1,3,4,7]=>110000=>000011 [2,6,7,1,3,4,5]=>[6,2,1,7,5,4,3]=>111110=>011111 [2,6,7,1,3,5,4]=>[6,2,1,7,4,5,3]=>111100=>001111 [2,6,7,1,4,3,5]=>[6,2,1,7,5,3,4]=>111010=>010111 [2,6,7,1,4,5,3]=>[6,2,1,7,4,3,5]=>111100=>001111 [2,6,7,1,5,3,4]=>[6,2,1,7,3,5,4]=>111100=>001111 [2,6,7,1,5,4,3]=>[6,2,1,7,3,4,5]=>111000=>000111 [2,6,7,3,1,4,5]=>[6,2,1,3,7,5,4]=>110110=>011011 [2,6,7,3,1,5,4]=>[6,2,1,3,7,4,5]=>110100=>001011 [2,6,7,3,4,1,5]=>[6,3,7,5,2,1,4]=>111010=>010111 [2,6,7,3,4,5,1]=>[6,3,7,4,2,1,5]=>111100=>001111 [2,6,7,3,5,1,4]=>[6,3,7,2,1,5,4]=>111100=>001111 [2,6,7,3,5,4,1]=>[6,3,7,2,1,4,5]=>111000=>000111 [2,6,7,4,1,3,5]=>[6,2,1,4,7,5,3]=>111010=>010111 [2,6,7,4,1,5,3]=>[6,2,1,4,7,3,5]=>111000=>000111 [2,6,7,4,3,1,5]=>[6,2,1,3,4,7,5]=>110010=>010011 [2,6,7,4,3,5,1]=>[6,3,4,7,2,1,5]=>111000=>000111 [2,6,7,4,5,1,3]=>[6,4,7,2,1,5,3]=>111100=>001111 [2,6,7,4,5,3,1]=>[6,4,7,2,1,3,5]=>110100=>001011 [2,6,7,5,1,3,4]=>[6,2,1,5,7,4,3]=>111100=>001111 [2,6,7,5,1,4,3]=>[6,2,1,5,7,3,4]=>111000=>000111 [2,6,7,5,3,1,4]=>[6,2,1,3,5,7,4]=>110100=>001011 [2,6,7,5,3,4,1]=>[6,3,5,7,2,1,4]=>111000=>000111 [2,6,7,5,4,1,3]=>[6,2,1,4,5,7,3]=>111000=>000111 [2,6,7,5,4,3,1]=>[6,2,1,3,4,5,7]=>110000=>000011 [2,7,1,3,4,5,6]=>[2,1,7,6,5,4,3]=>101111=>111101 [2,7,1,3,4,6,5]=>[2,1,7,5,6,4,3]=>101110=>011101 [2,7,1,3,5,4,6]=>[2,1,7,6,4,5,3]=>101101=>101101 [2,7,1,3,5,6,4]=>[2,1,7,5,4,6,3]=>101110=>011101 [2,7,1,3,6,4,5]=>[2,1,7,4,6,5,3]=>101110=>011101 [2,7,1,3,6,5,4]=>[2,1,7,4,5,6,3]=>101100=>001101 [2,7,1,4,3,5,6]=>[2,1,7,6,5,3,4]=>101011=>110101 [2,7,1,4,3,6,5]=>[2,1,7,5,6,3,4]=>101010=>010101 [2,7,1,4,5,3,6]=>[2,1,7,6,4,3,5]=>101101=>101101 [2,7,1,4,5,6,3]=>[2,1,7,5,4,3,6]=>101110=>011101 [2,7,1,4,6,3,5]=>[2,1,7,4,3,6,5]=>101110=>011101 [2,7,1,4,6,5,3]=>[2,1,7,4,3,5,6]=>101100=>001101 [2,7,1,5,3,4,6]=>[2,1,7,6,3,5,4]=>101101=>101101 [2,7,1,5,3,6,4]=>[2,1,7,3,5,4,6]=>101100=>001101 [2,7,1,5,4,3,6]=>[2,1,7,6,3,4,5]=>101001=>100101 [2,7,1,5,4,6,3]=>[2,1,7,4,5,3,6]=>101100=>001101 [2,7,1,5,6,3,4]=>[2,1,7,5,3,6,4]=>101110=>011101 [2,7,1,5,6,4,3]=>[2,1,7,5,3,4,6]=>101010=>010101 [2,7,1,6,3,4,5]=>[2,1,7,3,6,5,4]=>101110=>011101 [2,7,1,6,3,5,4]=>[2,1,7,3,6,4,5]=>101100=>001101 [2,7,1,6,4,3,5]=>[2,1,7,3,4,6,5]=>101010=>010101 [2,7,1,6,4,5,3]=>[2,1,7,4,6,3,5]=>101100=>001101 [2,7,1,6,5,3,4]=>[2,1,7,3,5,6,4]=>101100=>001101 [2,7,1,6,5,4,3]=>[2,1,7,3,4,5,6]=>101000=>000101 [2,7,3,1,4,5,6]=>[2,1,3,7,6,5,4]=>100111=>111001 [2,7,3,1,4,6,5]=>[2,1,3,7,5,6,4]=>100110=>011001 [2,7,3,1,5,4,6]=>[2,1,3,7,6,4,5]=>100101=>101001 [2,7,3,1,5,6,4]=>[2,1,3,7,5,4,6]=>100110=>011001 [2,7,3,1,6,4,5]=>[2,1,3,7,4,6,5]=>100110=>011001 [2,7,3,1,6,5,4]=>[2,1,3,7,4,5,6]=>100100=>001001 [2,7,3,4,1,5,6]=>[3,7,6,5,2,1,4]=>110011=>110011 [2,7,3,4,1,6,5]=>[3,7,5,6,2,1,4]=>110010=>010011 [2,7,3,4,5,1,6]=>[3,7,6,4,2,1,5]=>110101=>101011 [2,7,3,4,5,6,1]=>[3,7,5,4,2,1,6]=>110110=>011011 [2,7,3,4,6,1,5]=>[3,7,4,2,1,6,5]=>110110=>011011 [2,7,3,4,6,5,1]=>[3,7,4,2,1,5,6]=>110100=>001011 [2,7,3,5,1,4,6]=>[3,7,6,2,1,5,4]=>110101=>101011 [2,7,3,5,1,6,4]=>[3,7,2,1,5,4,6]=>110100=>001011 [2,7,3,5,4,1,6]=>[3,7,6,2,1,4,5]=>110001=>100011 [2,7,3,5,4,6,1]=>[3,7,4,5,2,1,6]=>110100=>001011 [2,7,3,5,6,1,4]=>[3,7,5,2,1,6,4]=>110110=>011011 [2,7,3,5,6,4,1]=>[3,7,5,2,1,4,6]=>110010=>010011 [2,7,3,6,1,4,5]=>[3,7,2,1,6,5,4]=>110110=>011011 [2,7,3,6,1,5,4]=>[3,7,2,1,6,4,5]=>110100=>001011 [2,7,3,6,4,1,5]=>[3,7,2,1,4,6,5]=>110010=>010011 [2,7,3,6,4,5,1]=>[3,7,4,6,2,1,5]=>110100=>001011 [2,7,3,6,5,1,4]=>[3,7,2,1,5,6,4]=>110100=>001011 [2,7,3,6,5,4,1]=>[3,7,2,1,4,5,6]=>110000=>000011 [2,7,4,1,3,5,6]=>[2,1,4,7,6,5,3]=>101011=>110101 [2,7,4,1,3,6,5]=>[2,1,4,7,5,6,3]=>101010=>010101 [2,7,4,1,5,3,6]=>[2,1,4,7,6,3,5]=>101001=>100101 [2,7,4,1,5,6,3]=>[2,1,4,7,5,3,6]=>101010=>010101 [2,7,4,1,6,3,5]=>[2,1,4,7,3,6,5]=>101010=>010101 [2,7,4,1,6,5,3]=>[2,1,4,7,3,5,6]=>101000=>000101 [2,7,4,3,1,5,6]=>[2,1,3,4,7,6,5]=>100011=>110001 [2,7,4,3,1,6,5]=>[2,1,3,4,7,5,6]=>100010=>010001 [2,7,4,3,5,1,6]=>[3,4,7,6,2,1,5]=>110001=>100011 [2,7,4,3,5,6,1]=>[3,4,7,5,2,1,6]=>110010=>010011 [2,7,4,3,6,1,5]=>[3,4,7,2,1,6,5]=>110010=>010011 [2,7,4,3,6,5,1]=>[3,4,7,2,1,5,6]=>110000=>000011 [2,7,4,5,1,3,6]=>[4,7,6,2,1,5,3]=>111001=>100111 [2,7,4,5,1,6,3]=>[4,7,2,1,5,3,6]=>111000=>000111 [2,7,4,5,3,1,6]=>[4,7,6,2,1,3,5]=>110001=>100011 [2,7,4,5,3,6,1]=>[4,7,3,5,2,1,6]=>111000=>000111 [2,7,4,5,6,1,3]=>[4,7,5,2,1,6,3]=>111010=>010111 [2,7,4,5,6,3,1]=>[4,7,5,2,1,3,6]=>110010=>010011 [2,7,4,6,1,3,5]=>[4,7,2,1,6,5,3]=>111010=>010111 [2,7,4,6,1,5,3]=>[4,7,2,1,6,3,5]=>111000=>000111 [2,7,4,6,3,1,5]=>[4,7,2,1,3,6,5]=>110010=>010011 [2,7,4,6,3,5,1]=>[4,7,3,6,2,1,5]=>111000=>000111 [2,7,4,6,5,1,3]=>[4,7,2,1,5,6,3]=>111000=>000111 [2,7,4,6,5,3,1]=>[4,7,2,1,3,5,6]=>110000=>000011 [2,7,5,1,3,4,6]=>[2,1,5,7,6,4,3]=>101101=>101101 [2,7,5,1,3,6,4]=>[2,1,5,7,4,6,3]=>101100=>001101 [2,7,5,1,4,3,6]=>[2,1,5,7,6,3,4]=>101001=>100101 [2,7,5,1,4,6,3]=>[2,1,5,7,4,3,6]=>101100=>001101 [2,7,5,1,6,3,4]=>[2,1,5,7,3,6,4]=>101100=>001101 [2,7,5,1,6,4,3]=>[2,1,5,7,3,4,6]=>101000=>000101 [2,7,5,3,1,4,6]=>[2,1,3,5,7,6,4]=>100101=>101001 [2,7,5,3,1,6,4]=>[2,1,3,5,7,4,6]=>100100=>001001 [2,7,5,3,4,1,6]=>[3,5,7,6,2,1,4]=>110001=>100011 [2,7,5,3,4,6,1]=>[3,5,7,4,2,1,6]=>110100=>001011 [2,7,5,3,6,1,4]=>[3,5,7,2,1,6,4]=>110100=>001011 [2,7,5,3,6,4,1]=>[3,5,7,2,1,4,6]=>110000=>000011 [2,7,5,4,1,3,6]=>[2,1,4,5,7,6,3]=>101001=>100101 [2,7,5,4,1,6,3]=>[2,1,4,5,7,3,6]=>101000=>000101 [2,7,5,4,3,1,6]=>[2,1,3,4,5,7,6]=>100001=>100001 [2,7,5,4,3,6,1]=>[3,4,5,7,2,1,6]=>110000=>000011 [2,7,5,4,6,1,3]=>[4,5,7,2,1,6,3]=>111000=>000111 [2,7,5,4,6,3,1]=>[4,5,7,2,1,3,6]=>110000=>000011 [2,7,5,6,1,3,4]=>[5,7,2,1,6,4,3]=>111100=>001111 [2,7,5,6,1,4,3]=>[5,7,2,1,6,3,4]=>111000=>000111 [2,7,5,6,3,1,4]=>[5,7,2,1,3,6,4]=>110100=>001011 [2,7,5,6,3,4,1]=>[5,7,3,6,2,1,4]=>111000=>000111 [2,7,5,6,4,1,3]=>[5,7,2,1,4,6,3]=>111000=>000111 [2,7,5,6,4,3,1]=>[5,7,2,1,3,4,6]=>110000=>000011 [2,7,6,1,3,4,5]=>[2,1,6,7,5,4,3]=>101110=>011101 [2,7,6,1,3,5,4]=>[2,1,6,7,4,5,3]=>101100=>001101 [2,7,6,1,4,3,5]=>[2,1,6,7,5,3,4]=>101010=>010101 [2,7,6,1,4,5,3]=>[2,1,6,7,4,3,5]=>101100=>001101 [2,7,6,1,5,3,4]=>[2,1,6,7,3,5,4]=>101100=>001101 [2,7,6,1,5,4,3]=>[2,1,6,7,3,4,5]=>101000=>000101 [2,7,6,3,1,4,5]=>[2,1,3,6,7,5,4]=>100110=>011001 [2,7,6,3,1,5,4]=>[2,1,3,6,7,4,5]=>100100=>001001 [2,7,6,3,4,1,5]=>[3,6,7,5,2,1,4]=>110010=>010011 [2,7,6,3,4,5,1]=>[3,6,7,4,2,1,5]=>110100=>001011 [2,7,6,3,5,1,4]=>[3,6,7,2,1,5,4]=>110100=>001011 [2,7,6,3,5,4,1]=>[3,6,7,2,1,4,5]=>110000=>000011 [2,7,6,4,1,3,5]=>[2,1,4,6,7,5,3]=>101010=>010101 [2,7,6,4,1,5,3]=>[2,1,4,6,7,3,5]=>101000=>000101 [2,7,6,4,3,1,5]=>[2,1,3,4,6,7,5]=>100010=>010001 [2,7,6,4,3,5,1]=>[3,4,6,7,2,1,5]=>110000=>000011 [2,7,6,4,5,1,3]=>[4,6,7,2,1,5,3]=>111000=>000111 [2,7,6,4,5,3,1]=>[4,6,7,2,1,3,5]=>110000=>000011 [2,7,6,5,1,3,4]=>[2,1,5,6,7,4,3]=>101100=>001101 [2,7,6,5,1,4,3]=>[2,1,5,6,7,3,4]=>101000=>000101 [2,7,6,5,3,1,4]=>[2,1,3,5,6,7,4]=>100100=>001001 [2,7,6,5,3,4,1]=>[3,5,6,7,2,1,4]=>110000=>000011 [2,7,6,5,4,1,3]=>[2,1,4,5,6,7,3]=>101000=>000101 [2,7,6,5,4,3,1]=>[2,1,3,4,5,6,7]=>100000=>000001 [3,1,2,4,5,6,7]=>[7,6,5,4,1,3,2]=>110111=>111011 [3,1,2,4,5,7,6]=>[6,7,5,4,1,3,2]=>110110=>011011 [3,1,2,4,6,5,7]=>[7,5,6,4,1,3,2]=>110110=>011011 [3,1,2,4,6,7,5]=>[6,5,7,4,1,3,2]=>110110=>011011 [3,1,2,4,7,5,6]=>[5,7,6,4,1,3,2]=>110101=>101011 [3,1,2,4,7,6,5]=>[5,6,7,4,1,3,2]=>110100=>001011 [3,1,2,5,4,6,7]=>[7,6,4,5,1,3,2]=>110101=>101011 [3,1,2,5,4,7,6]=>[6,7,4,5,1,3,2]=>110100=>001011 [3,1,2,5,6,4,7]=>[7,5,4,6,1,3,2]=>110110=>011011 [3,1,2,5,6,7,4]=>[6,5,4,7,1,3,2]=>110110=>011011 [3,1,2,5,7,4,6]=>[5,4,7,6,1,3,2]=>110101=>101011 [3,1,2,5,7,6,4]=>[5,4,6,7,1,3,2]=>110100=>001011 [3,1,2,6,4,5,7]=>[7,4,6,5,1,3,2]=>110110=>011011 [3,1,2,6,4,7,5]=>[4,6,5,7,1,3,2]=>110010=>010011 [3,1,2,6,5,4,7]=>[7,4,5,6,1,3,2]=>110100=>001011 [3,1,2,6,5,7,4]=>[5,6,4,7,1,3,2]=>110100=>001011 [3,1,2,6,7,4,5]=>[6,4,7,5,1,3,2]=>110110=>011011 [3,1,2,6,7,5,4]=>[6,4,5,7,1,3,2]=>110100=>001011 [3,1,2,7,4,5,6]=>[4,7,6,5,1,3,2]=>110011=>110011 [3,1,2,7,4,6,5]=>[4,7,5,6,1,3,2]=>110010=>010011 [3,1,2,7,5,4,6]=>[4,5,7,6,1,3,2]=>110001=>100011 [3,1,2,7,5,6,4]=>[5,7,4,6,1,3,2]=>110100=>001011 [3,1,2,7,6,4,5]=>[4,6,7,5,1,3,2]=>110010=>010011 [3,1,2,7,6,5,4]=>[4,5,6,7,1,3,2]=>110000=>000011 [3,1,4,2,5,6,7]=>[7,6,5,1,3,2,4]=>110011=>110011 [3,1,4,2,5,7,6]=>[6,7,5,1,3,2,4]=>110010=>010011 [3,1,4,2,6,5,7]=>[7,5,6,1,3,2,4]=>110010=>010011 [3,1,4,2,6,7,5]=>[6,5,7,1,3,2,4]=>110010=>010011 [3,1,4,2,7,5,6]=>[5,7,6,1,3,2,4]=>110001=>100011 [3,1,4,2,7,6,5]=>[5,6,7,1,3,2,4]=>110000=>000011 [3,1,4,5,2,6,7]=>[7,6,4,1,3,2,5]=>110101=>101011 [3,1,4,5,2,7,6]=>[6,7,4,1,3,2,5]=>110100=>001011 [3,1,4,5,6,2,7]=>[7,5,4,1,3,2,6]=>110110=>011011 [3,1,4,5,6,7,2]=>[6,5,4,1,3,2,7]=>110110=>011011 [3,1,4,5,7,2,6]=>[5,4,1,3,2,7,6]=>110101=>101011 [3,1,4,5,7,6,2]=>[5,4,1,3,2,6,7]=>110100=>001011 [3,1,4,6,2,5,7]=>[7,4,1,3,2,6,5]=>110110=>011011 [3,1,4,6,2,7,5]=>[4,1,3,2,6,5,7]=>110010=>010011 [3,1,4,6,5,2,7]=>[7,4,1,3,2,5,6]=>110100=>001011 [3,1,4,6,5,7,2]=>[5,6,4,1,3,2,7]=>110100=>001011 [3,1,4,6,7,2,5]=>[6,4,1,3,2,7,5]=>110110=>011011 [3,1,4,6,7,5,2]=>[6,4,1,3,2,5,7]=>110100=>001011 [3,1,4,7,2,5,6]=>[4,1,3,2,7,6,5]=>110011=>110011 [3,1,4,7,2,6,5]=>[4,1,3,2,7,5,6]=>110010=>010011 [3,1,4,7,5,2,6]=>[4,1,3,2,5,7,6]=>110001=>100011 [3,1,4,7,5,6,2]=>[5,7,4,1,3,2,6]=>110100=>001011 [3,1,4,7,6,2,5]=>[4,1,3,2,6,7,5]=>110010=>010011 [3,1,4,7,6,5,2]=>[4,1,3,2,5,6,7]=>110000=>000011 [3,1,5,2,4,6,7]=>[7,6,1,3,2,5,4]=>110101=>101011 [3,1,5,2,4,7,6]=>[6,7,1,3,2,5,4]=>110100=>001011 [3,1,5,2,6,4,7]=>[7,1,3,2,5,4,6]=>110100=>001011 [3,1,5,2,6,7,4]=>[6,1,3,2,5,4,7]=>110100=>001011 [3,1,5,2,7,4,6]=>[1,3,2,5,4,7,6]=>010101=>101010 [3,1,5,2,7,6,4]=>[1,3,2,5,4,6,7]=>010100=>001010 [3,1,5,4,2,6,7]=>[7,6,1,3,2,4,5]=>110001=>100011 [3,1,5,4,2,7,6]=>[6,7,1,3,2,4,5]=>110000=>000011 [3,1,5,4,6,2,7]=>[7,4,5,1,3,2,6]=>110100=>001011 [3,1,5,4,6,7,2]=>[6,4,5,1,3,2,7]=>110100=>001011 [3,1,5,4,7,2,6]=>[4,5,1,3,2,7,6]=>110001=>100011 [3,1,5,4,7,6,2]=>[4,5,1,3,2,6,7]=>110000=>000011 [3,1,5,6,2,4,7]=>[7,5,1,3,2,6,4]=>110110=>011011 [3,1,5,6,2,7,4]=>[5,1,3,2,6,4,7]=>110100=>001011 [3,1,5,6,4,2,7]=>[7,5,1,3,2,4,6]=>110010=>010011 [3,1,5,6,4,7,2]=>[5,4,6,1,3,2,7]=>110100=>001011 [3,1,5,6,7,2,4]=>[6,5,1,3,2,7,4]=>110110=>011011 [3,1,5,6,7,4,2]=>[6,5,1,3,2,4,7]=>110010=>010011 [3,1,5,7,2,4,6]=>[5,1,3,2,7,6,4]=>110101=>101011 [3,1,5,7,2,6,4]=>[5,1,3,2,7,4,6]=>110100=>001011 [3,1,5,7,4,2,6]=>[5,1,3,2,4,7,6]=>110001=>100011 [3,1,5,7,4,6,2]=>[5,4,7,1,3,2,6]=>110100=>001011 [3,1,5,7,6,2,4]=>[5,1,3,2,6,7,4]=>110100=>001011 [3,1,5,7,6,4,2]=>[5,1,3,2,4,6,7]=>110000=>000011 [3,1,6,2,4,5,7]=>[7,1,3,2,6,5,4]=>110110=>011011 [3,1,6,2,4,7,5]=>[1,3,2,6,5,7,4]=>010110=>011010 [3,1,6,2,5,4,7]=>[7,1,3,2,6,4,5]=>110100=>001011 [3,1,6,2,5,7,4]=>[1,3,2,6,5,4,7]=>010110=>011010 [3,1,6,2,7,4,5]=>[1,3,2,6,4,7,5]=>010110=>011010 [3,1,6,2,7,5,4]=>[1,3,2,6,4,5,7]=>010100=>001010 [3,1,6,4,2,5,7]=>[7,1,3,2,4,6,5]=>110010=>010011 [3,1,6,4,2,7,5]=>[1,3,2,4,6,5,7]=>010010=>010010 [3,1,6,4,5,2,7]=>[7,4,6,1,3,2,5]=>110100=>001011 [3,1,6,4,5,7,2]=>[4,6,5,1,3,2,7]=>110010=>010011 [3,1,6,4,7,2,5]=>[4,6,1,3,2,7,5]=>110010=>010011 [3,1,6,4,7,5,2]=>[4,6,1,3,2,5,7]=>110000=>000011 [3,1,6,5,2,4,7]=>[7,1,3,2,5,6,4]=>110100=>001011 [3,1,6,5,2,7,4]=>[1,3,2,5,6,4,7]=>010100=>001010 [3,1,6,5,4,2,7]=>[7,1,3,2,4,5,6]=>110000=>000011 [3,1,6,5,4,7,2]=>[4,5,6,1,3,2,7]=>110000=>000011 [3,1,6,5,7,2,4]=>[5,6,1,3,2,7,4]=>110100=>001011 [3,1,6,5,7,4,2]=>[5,6,1,3,2,4,7]=>110000=>000011 [3,1,6,7,2,4,5]=>[6,1,3,2,7,5,4]=>110110=>011011 [3,1,6,7,2,5,4]=>[6,1,3,2,7,4,5]=>110100=>001011 [3,1,6,7,4,2,5]=>[6,1,3,2,4,7,5]=>110010=>010011 [3,1,6,7,4,5,2]=>[6,4,7,1,3,2,5]=>110100=>001011 [3,1,6,7,5,2,4]=>[6,1,3,2,5,7,4]=>110100=>001011 [3,1,6,7,5,4,2]=>[6,1,3,2,4,5,7]=>110000=>000011 [3,1,7,2,4,5,6]=>[1,3,2,7,6,5,4]=>010111=>111010 [3,1,7,2,4,6,5]=>[1,3,2,7,5,6,4]=>010110=>011010 [3,1,7,2,5,4,6]=>[1,3,2,7,6,4,5]=>010101=>101010 [3,1,7,2,5,6,4]=>[1,3,2,7,5,4,6]=>010110=>011010 [3,1,7,2,6,4,5]=>[1,3,2,7,4,6,5]=>010110=>011010 [3,1,7,2,6,5,4]=>[1,3,2,7,4,5,6]=>010100=>001010 [3,1,7,4,2,5,6]=>[1,3,2,4,7,6,5]=>010011=>110010 [3,1,7,4,2,6,5]=>[1,3,2,4,7,5,6]=>010010=>010010 [3,1,7,4,5,2,6]=>[4,7,6,1,3,2,5]=>110001=>100011 [3,1,7,4,5,6,2]=>[4,7,5,1,3,2,6]=>110010=>010011 [3,1,7,4,6,2,5]=>[4,7,1,3,2,6,5]=>110010=>010011 [3,1,7,4,6,5,2]=>[4,7,1,3,2,5,6]=>110000=>000011 [3,1,7,5,2,4,6]=>[1,3,2,5,7,6,4]=>010101=>101010 [3,1,7,5,2,6,4]=>[1,3,2,5,7,4,6]=>010100=>001010 [3,1,7,5,4,2,6]=>[1,3,2,4,5,7,6]=>010001=>100010 [3,1,7,5,4,6,2]=>[4,5,7,1,3,2,6]=>110000=>000011 [3,1,7,5,6,2,4]=>[5,7,1,3,2,6,4]=>110100=>001011 [3,1,7,5,6,4,2]=>[5,7,1,3,2,4,6]=>110000=>000011 [3,1,7,6,2,4,5]=>[1,3,2,6,7,5,4]=>010110=>011010 [3,1,7,6,2,5,4]=>[1,3,2,6,7,4,5]=>010100=>001010 [3,1,7,6,4,2,5]=>[1,3,2,4,6,7,5]=>010010=>010010 [3,1,7,6,4,5,2]=>[4,6,7,1,3,2,5]=>110000=>000011 [3,1,7,6,5,2,4]=>[1,3,2,5,6,7,4]=>010100=>001010 [3,1,7,6,5,4,2]=>[1,3,2,4,5,6,7]=>010000=>000010 [3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>100111=>111001 [3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>100110=>011001 [3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>100110=>011001 [3,2,1,4,6,7,5]=>[6,5,7,4,1,2,3]=>100110=>011001 [3,2,1,4,7,5,6]=>[5,7,6,4,1,2,3]=>100101=>101001 [3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>100100=>001001 [3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>100101=>101001 [3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>100100=>001001 [3,2,1,5,6,4,7]=>[7,5,4,6,1,2,3]=>100110=>011001 [3,2,1,5,6,7,4]=>[6,5,4,7,1,2,3]=>100110=>011001 [3,2,1,5,7,4,6]=>[5,4,7,6,1,2,3]=>100101=>101001 [3,2,1,5,7,6,4]=>[5,4,6,7,1,2,3]=>100100=>001001 [3,2,1,6,4,5,7]=>[7,4,6,5,1,2,3]=>100110=>011001 [3,2,1,6,4,7,5]=>[4,6,5,7,1,2,3]=>100010=>010001 [3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>100100=>001001 [3,2,1,6,5,7,4]=>[5,6,4,7,1,2,3]=>100100=>001001 [3,2,1,6,7,4,5]=>[6,4,7,5,1,2,3]=>100110=>011001 [3,2,1,6,7,5,4]=>[6,4,5,7,1,2,3]=>100100=>001001 [3,2,1,7,4,5,6]=>[4,7,6,5,1,2,3]=>100011=>110001 [3,2,1,7,4,6,5]=>[4,7,5,6,1,2,3]=>100010=>010001 [3,2,1,7,5,4,6]=>[4,5,7,6,1,2,3]=>100001=>100001 [3,2,1,7,5,6,4]=>[5,7,4,6,1,2,3]=>100100=>001001 [3,2,1,7,6,4,5]=>[4,6,7,5,1,2,3]=>100010=>010001 [3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>100000=>000001 [3,2,4,1,5,6,7]=>[7,6,5,2,3,1,4]=>110011=>110011 [3,2,4,1,5,7,6]=>[6,7,5,2,3,1,4]=>110010=>010011 [3,2,4,1,6,5,7]=>[7,5,6,2,3,1,4]=>110010=>010011 [3,2,4,1,6,7,5]=>[6,5,7,2,3,1,4]=>110010=>010011 [3,2,4,1,7,5,6]=>[5,7,6,2,3,1,4]=>110001=>100011 [3,2,4,1,7,6,5]=>[5,6,7,2,3,1,4]=>110000=>000011 [3,2,4,5,1,6,7]=>[7,6,4,2,3,1,5]=>110101=>101011 [3,2,4,5,1,7,6]=>[6,7,4,2,3,1,5]=>110100=>001011 [3,2,4,5,6,1,7]=>[7,5,4,2,3,1,6]=>110110=>011011 [3,2,4,5,6,7,1]=>[6,5,4,2,3,1,7]=>110110=>011011 [3,2,4,5,7,1,6]=>[5,4,2,3,1,7,6]=>110101=>101011 [3,2,4,5,7,6,1]=>[5,4,2,3,1,6,7]=>110100=>001011 [3,2,4,6,1,5,7]=>[7,4,2,3,1,6,5]=>110110=>011011 [3,2,4,6,1,7,5]=>[4,2,3,1,6,5,7]=>110010=>010011 [3,2,4,6,5,1,7]=>[7,4,2,3,1,5,6]=>110100=>001011 [3,2,4,6,5,7,1]=>[5,6,4,2,3,1,7]=>110100=>001011 [3,2,4,6,7,1,5]=>[6,4,2,3,1,7,5]=>110110=>011011 [3,2,4,6,7,5,1]=>[6,4,2,3,1,5,7]=>110100=>001011 [3,2,4,7,1,5,6]=>[4,2,3,1,7,6,5]=>110011=>110011 [3,2,4,7,1,6,5]=>[4,2,3,1,7,5,6]=>110010=>010011 [3,2,4,7,5,1,6]=>[4,2,3,1,5,7,6]=>110001=>100011 [3,2,4,7,5,6,1]=>[5,7,4,2,3,1,6]=>110100=>001011 [3,2,4,7,6,1,5]=>[4,2,3,1,6,7,5]=>110010=>010011 [3,2,4,7,6,5,1]=>[4,2,3,1,5,6,7]=>110000=>000011 [3,2,5,1,4,6,7]=>[7,6,2,3,1,5,4]=>110101=>101011 [3,2,5,1,4,7,6]=>[6,7,2,3,1,5,4]=>110100=>001011 [3,2,5,1,6,4,7]=>[7,2,3,1,5,4,6]=>110100=>001011 [3,2,5,1,6,7,4]=>[6,2,3,1,5,4,7]=>110100=>001011 [3,2,5,1,7,4,6]=>[2,3,1,5,4,7,6]=>100101=>101001 [3,2,5,1,7,6,4]=>[2,3,1,5,4,6,7]=>100100=>001001 [3,2,5,4,1,6,7]=>[7,6,2,3,1,4,5]=>110001=>100011 [3,2,5,4,1,7,6]=>[6,7,2,3,1,4,5]=>110000=>000011 [3,2,5,4,6,1,7]=>[7,4,5,2,3,1,6]=>110100=>001011 [3,2,5,4,6,7,1]=>[6,4,5,2,3,1,7]=>110100=>001011 [3,2,5,4,7,1,6]=>[4,5,2,3,1,7,6]=>110001=>100011 [3,2,5,4,7,6,1]=>[4,5,2,3,1,6,7]=>110000=>000011 [3,2,5,6,1,4,7]=>[7,5,2,3,1,6,4]=>110110=>011011 [3,2,5,6,1,7,4]=>[5,2,3,1,6,4,7]=>110100=>001011 [3,2,5,6,4,1,7]=>[7,5,2,3,1,4,6]=>110010=>010011 [3,2,5,6,4,7,1]=>[5,4,6,2,3,1,7]=>110100=>001011 [3,2,5,6,7,1,4]=>[6,5,2,3,1,7,4]=>110110=>011011 [3,2,5,6,7,4,1]=>[6,5,2,3,1,4,7]=>110010=>010011 [3,2,5,7,1,4,6]=>[5,2,3,1,7,6,4]=>110101=>101011 [3,2,5,7,1,6,4]=>[5,2,3,1,7,4,6]=>110100=>001011 [3,2,5,7,4,1,6]=>[5,2,3,1,4,7,6]=>110001=>100011 [3,2,5,7,4,6,1]=>[5,4,7,2,3,1,6]=>110100=>001011 [3,2,5,7,6,1,4]=>[5,2,3,1,6,7,4]=>110100=>001011 [3,2,5,7,6,4,1]=>[5,2,3,1,4,6,7]=>110000=>000011 [3,2,6,1,4,5,7]=>[7,2,3,1,6,5,4]=>110110=>011011 [3,2,6,1,4,7,5]=>[2,3,1,6,5,7,4]=>100110=>011001 [3,2,6,1,5,4,7]=>[7,2,3,1,6,4,5]=>110100=>001011 [3,2,6,1,5,7,4]=>[2,3,1,6,5,4,7]=>100110=>011001 [3,2,6,1,7,4,5]=>[2,3,1,6,4,7,5]=>100110=>011001 [3,2,6,1,7,5,4]=>[2,3,1,6,4,5,7]=>100100=>001001 [3,2,6,4,1,5,7]=>[7,2,3,1,4,6,5]=>110010=>010011 [3,2,6,4,1,7,5]=>[2,3,1,4,6,5,7]=>100010=>010001 [3,2,6,4,5,1,7]=>[7,4,6,2,3,1,5]=>110100=>001011 [3,2,6,4,5,7,1]=>[4,6,5,2,3,1,7]=>110010=>010011 [3,2,6,4,7,1,5]=>[4,6,2,3,1,7,5]=>110010=>010011 [3,2,6,4,7,5,1]=>[4,6,2,3,1,5,7]=>110000=>000011 [3,2,6,5,1,4,7]=>[7,2,3,1,5,6,4]=>110100=>001011 [3,2,6,5,1,7,4]=>[2,3,1,5,6,4,7]=>100100=>001001 [3,2,6,5,4,1,7]=>[7,2,3,1,4,5,6]=>110000=>000011 [3,2,6,5,4,7,1]=>[4,5,6,2,3,1,7]=>110000=>000011 [3,2,6,5,7,1,4]=>[5,6,2,3,1,7,4]=>110100=>001011 [3,2,6,5,7,4,1]=>[5,6,2,3,1,4,7]=>110000=>000011 [3,2,6,7,1,4,5]=>[6,2,3,1,7,5,4]=>110110=>011011 [3,2,6,7,1,5,4]=>[6,2,3,1,7,4,5]=>110100=>001011 [3,2,6,7,4,1,5]=>[6,2,3,1,4,7,5]=>110010=>010011 [3,2,6,7,4,5,1]=>[6,4,7,2,3,1,5]=>110100=>001011 [3,2,6,7,5,1,4]=>[6,2,3,1,5,7,4]=>110100=>001011 [3,2,6,7,5,4,1]=>[6,2,3,1,4,5,7]=>110000=>000011 [3,2,7,1,4,5,6]=>[2,3,1,7,6,5,4]=>100111=>111001 [3,2,7,1,4,6,5]=>[2,3,1,7,5,6,4]=>100110=>011001 [3,2,7,1,5,4,6]=>[2,3,1,7,6,4,5]=>100101=>101001 [3,2,7,1,5,6,4]=>[2,3,1,7,5,4,6]=>100110=>011001 [3,2,7,1,6,4,5]=>[2,3,1,7,4,6,5]=>100110=>011001 [3,2,7,1,6,5,4]=>[2,3,1,7,4,5,6]=>100100=>001001 [3,2,7,4,1,5,6]=>[2,3,1,4,7,6,5]=>100011=>110001 [3,2,7,4,1,6,5]=>[2,3,1,4,7,5,6]=>100010=>010001 [3,2,7,4,5,1,6]=>[4,7,6,2,3,1,5]=>110001=>100011 [3,2,7,4,5,6,1]=>[4,7,5,2,3,1,6]=>110010=>010011 [3,2,7,4,6,1,5]=>[4,7,2,3,1,6,5]=>110010=>010011 [3,2,7,4,6,5,1]=>[4,7,2,3,1,5,6]=>110000=>000011 [3,2,7,5,1,4,6]=>[2,3,1,5,7,6,4]=>100101=>101001 [3,2,7,5,1,6,4]=>[2,3,1,5,7,4,6]=>100100=>001001 [3,2,7,5,4,1,6]=>[2,3,1,4,5,7,6]=>100001=>100001 [3,2,7,5,4,6,1]=>[4,5,7,2,3,1,6]=>110000=>000011 [3,2,7,5,6,1,4]=>[5,7,2,3,1,6,4]=>110100=>001011 [3,2,7,5,6,4,1]=>[5,7,2,3,1,4,6]=>110000=>000011 [3,2,7,6,1,4,5]=>[2,3,1,6,7,5,4]=>100110=>011001 [3,2,7,6,1,5,4]=>[2,3,1,6,7,4,5]=>100100=>001001 [3,2,7,6,4,1,5]=>[2,3,1,4,6,7,5]=>100010=>010001 [3,2,7,6,4,5,1]=>[4,6,7,2,3,1,5]=>110000=>000011 [3,2,7,6,5,1,4]=>[2,3,1,5,6,7,4]=>100100=>001001 [3,2,7,6,5,4,1]=>[2,3,1,4,5,6,7]=>100000=>000001 [3,4,1,2,5,6,7]=>[7,6,5,3,1,4,2]=>111011=>110111 [3,4,1,2,5,7,6]=>[6,7,5,3,1,4,2]=>111010=>010111 [3,4,1,2,6,5,7]=>[7,5,6,3,1,4,2]=>111010=>010111 [3,4,1,2,6,7,5]=>[6,5,7,3,1,4,2]=>111010=>010111 [3,4,1,2,7,5,6]=>[5,7,6,3,1,4,2]=>111001=>100111 [3,4,1,2,7,6,5]=>[5,6,7,3,1,4,2]=>111000=>000111 [3,4,1,5,2,6,7]=>[7,6,3,1,4,2,5]=>111001=>100111 [3,4,1,5,2,7,6]=>[6,7,3,1,4,2,5]=>111000=>000111 [3,4,1,5,6,2,7]=>[7,5,3,1,4,2,6]=>111010=>010111 [3,4,1,5,6,7,2]=>[6,5,3,1,4,2,7]=>111010=>010111 [3,4,1,5,7,2,6]=>[5,3,1,4,2,7,6]=>111001=>100111 [3,4,1,5,7,6,2]=>[5,3,1,4,2,6,7]=>111000=>000111 [3,4,1,6,2,5,7]=>[7,3,1,4,2,6,5]=>111010=>010111 [3,4,1,6,2,7,5]=>[3,1,4,2,6,5,7]=>110010=>010011 [3,4,1,6,5,2,7]=>[7,3,1,4,2,5,6]=>111000=>000111 [3,4,1,6,5,7,2]=>[5,6,3,1,4,2,7]=>111000=>000111 [3,4,1,6,7,2,5]=>[6,3,1,4,2,7,5]=>111010=>010111 [3,4,1,6,7,5,2]=>[6,3,1,4,2,5,7]=>111000=>000111 [3,4,1,7,2,5,6]=>[3,1,4,2,7,6,5]=>110011=>110011 [3,4,1,7,2,6,5]=>[3,1,4,2,7,5,6]=>110010=>010011 [3,4,1,7,5,2,6]=>[3,1,4,2,5,7,6]=>110001=>100011 [3,4,1,7,5,6,2]=>[5,7,3,1,4,2,6]=>111000=>000111 [3,4,1,7,6,2,5]=>[3,1,4,2,6,7,5]=>110010=>010011 [3,4,1,7,6,5,2]=>[3,1,4,2,5,6,7]=>110000=>000011 [3,4,2,1,5,6,7]=>[7,6,5,3,1,2,4]=>101011=>110101 [3,4,2,1,5,7,6]=>[6,7,5,3,1,2,4]=>101010=>010101 [3,4,2,1,6,5,7]=>[7,5,6,3,1,2,4]=>101010=>010101 [3,4,2,1,6,7,5]=>[6,5,7,3,1,2,4]=>101010=>010101 [3,4,2,1,7,5,6]=>[5,7,6,3,1,2,4]=>101001=>100101 [3,4,2,1,7,6,5]=>[5,6,7,3,1,2,4]=>101000=>000101 [3,4,2,5,1,6,7]=>[7,6,3,2,4,1,5]=>111001=>100111 [3,4,2,5,1,7,6]=>[6,7,3,2,4,1,5]=>111000=>000111 [3,4,2,5,6,1,7]=>[7,5,3,2,4,1,6]=>111010=>010111 [3,4,2,5,6,7,1]=>[6,5,3,2,4,1,7]=>111010=>010111 [3,4,2,5,7,1,6]=>[5,3,2,4,1,7,6]=>111001=>100111 [3,4,2,5,7,6,1]=>[5,3,2,4,1,6,7]=>111000=>000111 [3,4,2,6,1,5,7]=>[7,3,2,4,1,6,5]=>111010=>010111 [3,4,2,6,1,7,5]=>[3,2,4,1,6,5,7]=>110010=>010011 [3,4,2,6,5,1,7]=>[7,3,2,4,1,5,6]=>111000=>000111 [3,4,2,6,5,7,1]=>[5,6,3,2,4,1,7]=>111000=>000111 [3,4,2,6,7,1,5]=>[6,3,2,4,1,7,5]=>111010=>010111 [3,4,2,6,7,5,1]=>[6,3,2,4,1,5,7]=>111000=>000111 [3,4,2,7,1,5,6]=>[3,2,4,1,7,6,5]=>110011=>110011 [3,4,2,7,1,6,5]=>[3,2,4,1,7,5,6]=>110010=>010011 [3,4,2,7,5,1,6]=>[3,2,4,1,5,7,6]=>110001=>100011 [3,4,2,7,5,6,1]=>[5,7,3,2,4,1,6]=>111000=>000111 [3,4,2,7,6,1,5]=>[3,2,4,1,6,7,5]=>110010=>010011 [3,4,2,7,6,5,1]=>[3,2,4,1,5,6,7]=>110000=>000011 [3,4,5,1,2,6,7]=>[7,6,4,3,1,5,2]=>111101=>101111 [3,4,5,1,2,7,6]=>[6,7,4,3,1,5,2]=>111100=>001111 [3,4,5,1,6,2,7]=>[7,4,3,1,5,2,6]=>111100=>001111 [3,4,5,1,6,7,2]=>[6,4,3,1,5,2,7]=>111100=>001111 [3,4,5,1,7,2,6]=>[4,3,1,5,2,7,6]=>111001=>100111 [3,4,5,1,7,6,2]=>[4,3,1,5,2,6,7]=>111000=>000111 [3,4,5,2,1,6,7]=>[7,6,4,3,1,2,5]=>101101=>101101 [3,4,5,2,1,7,6]=>[6,7,4,3,1,2,5]=>101100=>001101 [3,4,5,2,6,1,7]=>[7,4,3,2,5,1,6]=>111100=>001111 [3,4,5,2,6,7,1]=>[6,4,3,2,5,1,7]=>111100=>001111 [3,4,5,2,7,1,6]=>[4,3,2,5,1,7,6]=>111001=>100111 [3,4,5,2,7,6,1]=>[4,3,2,5,1,6,7]=>111000=>000111 [3,4,5,6,1,2,7]=>[7,5,4,3,1,6,2]=>111110=>011111 [3,4,5,6,1,7,2]=>[5,4,3,1,6,2,7]=>111100=>001111 [3,4,5,6,2,1,7]=>[7,5,4,3,1,2,6]=>101110=>011101 [3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>111100=>001111 [3,4,5,6,7,1,2]=>[6,5,4,3,1,7,2]=>111110=>011111 [3,4,5,6,7,2,1]=>[6,5,4,3,1,2,7]=>101110=>011101 [3,4,5,7,1,2,6]=>[5,4,3,1,7,6,2]=>111101=>101111 [3,4,5,7,1,6,2]=>[5,4,3,1,7,2,6]=>111100=>001111 [3,4,5,7,2,1,6]=>[5,4,3,1,2,7,6]=>101101=>101101 [3,4,5,7,2,6,1]=>[5,4,3,2,7,1,6]=>111100=>001111 [3,4,5,7,6,1,2]=>[5,4,3,1,6,7,2]=>111100=>001111 [3,4,5,7,6,2,1]=>[5,4,3,1,2,6,7]=>101100=>001101 [3,4,6,1,2,5,7]=>[7,4,3,1,6,5,2]=>111110=>011111 [3,4,6,1,2,7,5]=>[4,3,1,6,5,7,2]=>111010=>010111 [3,4,6,1,5,2,7]=>[7,4,3,1,6,2,5]=>111100=>001111 [3,4,6,1,5,7,2]=>[4,3,1,6,5,2,7]=>111010=>010111 [3,4,6,1,7,2,5]=>[4,3,1,6,2,7,5]=>111010=>010111 [3,4,6,1,7,5,2]=>[4,3,1,6,2,5,7]=>111000=>000111 [3,4,6,2,1,5,7]=>[7,4,3,1,2,6,5]=>101110=>011101 [3,4,6,2,1,7,5]=>[4,3,1,2,6,5,7]=>101010=>010101 [3,4,6,2,5,1,7]=>[7,4,3,2,6,1,5]=>111100=>001111 [3,4,6,2,5,7,1]=>[4,3,2,6,5,1,7]=>111010=>010111 [3,4,6,2,7,1,5]=>[4,3,2,6,1,7,5]=>111010=>010111 [3,4,6,2,7,5,1]=>[4,3,2,6,1,5,7]=>111000=>000111 [3,4,6,5,1,2,7]=>[7,4,3,1,5,6,2]=>111100=>001111 [3,4,6,5,1,7,2]=>[4,3,1,5,6,2,7]=>111000=>000111 [3,4,6,5,2,1,7]=>[7,4,3,1,2,5,6]=>101100=>001101 [3,4,6,5,2,7,1]=>[4,3,2,5,6,1,7]=>111000=>000111 [3,4,6,5,7,1,2]=>[5,6,4,3,1,7,2]=>111100=>001111 [3,4,6,5,7,2,1]=>[5,6,4,3,1,2,7]=>101100=>001101 [3,4,6,7,1,2,5]=>[6,4,3,1,7,5,2]=>111110=>011111 [3,4,6,7,1,5,2]=>[6,4,3,1,7,2,5]=>111100=>001111 [3,4,6,7,2,1,5]=>[6,4,3,1,2,7,5]=>101110=>011101 [3,4,6,7,2,5,1]=>[6,4,3,2,7,1,5]=>111100=>001111 [3,4,6,7,5,1,2]=>[6,4,3,1,5,7,2]=>111100=>001111 [3,4,6,7,5,2,1]=>[6,4,3,1,2,5,7]=>101100=>001101 [3,4,7,1,2,5,6]=>[4,3,1,7,6,5,2]=>111011=>110111 [3,4,7,1,2,6,5]=>[4,3,1,7,5,6,2]=>111010=>010111 [3,4,7,1,5,2,6]=>[4,3,1,7,6,2,5]=>111001=>100111 [3,4,7,1,5,6,2]=>[4,3,1,7,5,2,6]=>111010=>010111 [3,4,7,1,6,2,5]=>[4,3,1,7,2,6,5]=>111010=>010111 [3,4,7,1,6,5,2]=>[4,3,1,7,2,5,6]=>111000=>000111 [3,4,7,2,1,5,6]=>[4,3,1,2,7,6,5]=>101011=>110101 [3,4,7,2,1,6,5]=>[4,3,1,2,7,5,6]=>101010=>010101 [3,4,7,2,5,1,6]=>[4,3,2,7,6,1,5]=>111001=>100111 [3,4,7,2,5,6,1]=>[4,3,2,7,5,1,6]=>111010=>010111 [3,4,7,2,6,1,5]=>[4,3,2,7,1,6,5]=>111010=>010111 [3,4,7,2,6,5,1]=>[4,3,2,7,1,5,6]=>111000=>000111 [3,4,7,5,1,2,6]=>[4,3,1,5,7,6,2]=>111001=>100111 [3,4,7,5,1,6,2]=>[4,3,1,5,7,2,6]=>111000=>000111 [3,4,7,5,2,1,6]=>[4,3,1,2,5,7,6]=>101001=>100101 [3,4,7,5,2,6,1]=>[4,3,2,5,7,1,6]=>111000=>000111 [3,4,7,5,6,1,2]=>[5,7,4,3,1,6,2]=>111100=>001111 [3,4,7,5,6,2,1]=>[5,7,4,3,1,2,6]=>101100=>001101 [3,4,7,6,1,2,5]=>[4,3,1,6,7,5,2]=>111010=>010111 [3,4,7,6,1,5,2]=>[4,3,1,6,7,2,5]=>111000=>000111 [3,4,7,6,2,1,5]=>[4,3,1,2,6,7,5]=>101010=>010101 [3,4,7,6,2,5,1]=>[4,3,2,6,7,1,5]=>111000=>000111 [3,4,7,6,5,1,2]=>[4,3,1,5,6,7,2]=>111000=>000111 [3,4,7,6,5,2,1]=>[4,3,1,2,5,6,7]=>101000=>000101 [3,5,1,2,4,6,7]=>[7,6,3,1,5,4,2]=>111101=>101111 [3,5,1,2,4,7,6]=>[6,7,3,1,5,4,2]=>111100=>001111 [3,5,1,2,6,4,7]=>[7,3,1,5,4,6,2]=>111100=>001111 [3,5,1,2,6,7,4]=>[6,3,1,5,4,7,2]=>111100=>001111 [3,5,1,2,7,4,6]=>[3,1,5,4,7,6,2]=>110101=>101011 [3,5,1,2,7,6,4]=>[3,1,5,4,6,7,2]=>110100=>001011 [3,5,1,4,2,6,7]=>[7,6,3,1,5,2,4]=>111001=>100111 [3,5,1,4,2,7,6]=>[6,7,3,1,5,2,4]=>111000=>000111 [3,5,1,4,6,2,7]=>[7,3,1,5,4,2,6]=>111100=>001111 [3,5,1,4,6,7,2]=>[6,3,1,5,4,2,7]=>111100=>001111 [3,5,1,4,7,2,6]=>[3,1,5,4,2,7,6]=>110101=>101011 [3,5,1,4,7,6,2]=>[3,1,5,4,2,6,7]=>110100=>001011 [3,5,1,6,2,4,7]=>[7,3,1,5,2,6,4]=>111100=>001111 [3,5,1,6,2,7,4]=>[3,1,5,2,6,4,7]=>110100=>001011 [3,5,1,6,4,2,7]=>[7,3,1,5,2,4,6]=>111000=>000111 [3,5,1,6,4,7,2]=>[3,1,5,4,6,2,7]=>110100=>001011 [3,5,1,6,7,2,4]=>[6,3,1,5,2,7,4]=>111100=>001111 [3,5,1,6,7,4,2]=>[6,3,1,5,2,4,7]=>111000=>000111 [3,5,1,7,2,4,6]=>[3,1,5,2,7,6,4]=>110101=>101011 [3,5,1,7,2,6,4]=>[3,1,5,2,7,4,6]=>110100=>001011 [3,5,1,7,4,2,6]=>[3,1,5,2,4,7,6]=>110001=>100011 [3,5,1,7,4,6,2]=>[3,1,5,4,7,2,6]=>110100=>001011 [3,5,1,7,6,2,4]=>[3,1,5,2,6,7,4]=>110100=>001011 [3,5,1,7,6,4,2]=>[3,1,5,2,4,6,7]=>110000=>000011 [3,5,2,1,4,6,7]=>[7,6,3,1,2,5,4]=>101101=>101101 [3,5,2,1,4,7,6]=>[6,7,3,1,2,5,4]=>101100=>001101 [3,5,2,1,6,4,7]=>[7,3,1,2,5,4,6]=>101100=>001101 [3,5,2,1,6,7,4]=>[6,3,1,2,5,4,7]=>101100=>001101 [3,5,2,1,7,4,6]=>[3,1,2,5,4,7,6]=>100101=>101001 [3,5,2,1,7,6,4]=>[3,1,2,5,4,6,7]=>100100=>001001 [3,5,2,4,1,6,7]=>[7,6,3,2,5,1,4]=>111001=>100111 [3,5,2,4,1,7,6]=>[6,7,3,2,5,1,4]=>111000=>000111 [3,5,2,4,6,1,7]=>[7,3,2,5,4,1,6]=>111100=>001111 [3,5,2,4,6,7,1]=>[6,3,2,5,4,1,7]=>111100=>001111 [3,5,2,4,7,1,6]=>[3,2,5,4,1,7,6]=>110101=>101011 [3,5,2,4,7,6,1]=>[3,2,5,4,1,6,7]=>110100=>001011 [3,5,2,6,1,4,7]=>[7,3,2,5,1,6,4]=>111100=>001111 [3,5,2,6,1,7,4]=>[3,2,5,1,6,4,7]=>110100=>001011 [3,5,2,6,4,1,7]=>[7,3,2,5,1,4,6]=>111000=>000111 [3,5,2,6,4,7,1]=>[3,2,5,4,6,1,7]=>110100=>001011 [3,5,2,6,7,1,4]=>[6,3,2,5,1,7,4]=>111100=>001111 [3,5,2,6,7,4,1]=>[6,3,2,5,1,4,7]=>111000=>000111 [3,5,2,7,1,4,6]=>[3,2,5,1,7,6,4]=>110101=>101011 [3,5,2,7,1,6,4]=>[3,2,5,1,7,4,6]=>110100=>001011 [3,5,2,7,4,1,6]=>[3,2,5,1,4,7,6]=>110001=>100011 [3,5,2,7,4,6,1]=>[3,2,5,4,7,1,6]=>110100=>001011 [3,5,2,7,6,1,4]=>[3,2,5,1,6,7,4]=>110100=>001011 [3,5,2,7,6,4,1]=>[3,2,5,1,4,6,7]=>110000=>000011 [3,5,4,1,2,6,7]=>[7,6,3,1,4,5,2]=>111001=>100111 [3,5,4,1,2,7,6]=>[6,7,3,1,4,5,2]=>111000=>000111 [3,5,4,1,6,2,7]=>[7,3,1,4,5,2,6]=>111000=>000111 [3,5,4,1,6,7,2]=>[6,3,1,4,5,2,7]=>111000=>000111 [3,5,4,1,7,2,6]=>[3,1,4,5,2,7,6]=>110001=>100011 [3,5,4,1,7,6,2]=>[3,1,4,5,2,6,7]=>110000=>000011 [3,5,4,2,1,6,7]=>[7,6,3,1,2,4,5]=>101001=>100101 [3,5,4,2,1,7,6]=>[6,7,3,1,2,4,5]=>101000=>000101 [3,5,4,2,6,1,7]=>[7,3,2,4,5,1,6]=>111000=>000111 [3,5,4,2,6,7,1]=>[6,3,2,4,5,1,7]=>111000=>000111 [3,5,4,2,7,1,6]=>[3,2,4,5,1,7,6]=>110001=>100011 [3,5,4,2,7,6,1]=>[3,2,4,5,1,6,7]=>110000=>000011 [3,5,4,6,1,2,7]=>[7,4,5,3,1,6,2]=>111100=>001111 [3,5,4,6,1,7,2]=>[4,5,3,1,6,2,7]=>111000=>000111 [3,5,4,6,2,1,7]=>[7,4,5,3,1,2,6]=>101100=>001101 [3,5,4,6,2,7,1]=>[4,5,3,2,6,1,7]=>111000=>000111 [3,5,4,6,7,1,2]=>[6,4,5,3,1,7,2]=>111100=>001111 [3,5,4,6,7,2,1]=>[6,4,5,3,1,2,7]=>101100=>001101 [3,5,4,7,1,2,6]=>[4,5,3,1,7,6,2]=>111001=>100111 [3,5,4,7,1,6,2]=>[4,5,3,1,7,2,6]=>111000=>000111 [3,5,4,7,2,1,6]=>[4,5,3,1,2,7,6]=>101001=>100101 [3,5,4,7,2,6,1]=>[4,5,3,2,7,1,6]=>111000=>000111 [3,5,4,7,6,1,2]=>[4,5,3,1,6,7,2]=>111000=>000111 [3,5,4,7,6,2,1]=>[4,5,3,1,2,6,7]=>101000=>000101 [3,5,6,1,2,4,7]=>[7,5,3,1,6,4,2]=>111110=>011111 [3,5,6,1,2,7,4]=>[5,3,1,6,4,7,2]=>111100=>001111 [3,5,6,1,4,2,7]=>[7,5,3,1,6,2,4]=>111010=>010111 [3,5,6,1,4,7,2]=>[5,3,1,6,4,2,7]=>111100=>001111 [3,5,6,1,7,2,4]=>[5,3,1,6,2,7,4]=>111100=>001111 [3,5,6,1,7,4,2]=>[5,3,1,6,2,4,7]=>111000=>000111 [3,5,6,2,1,4,7]=>[7,5,3,1,2,6,4]=>101110=>011101 [3,5,6,2,1,7,4]=>[5,3,1,2,6,4,7]=>101100=>001101 [3,5,6,2,4,1,7]=>[7,5,3,2,6,1,4]=>111010=>010111 [3,5,6,2,4,7,1]=>[5,3,2,6,4,1,7]=>111100=>001111 [3,5,6,2,7,1,4]=>[5,3,2,6,1,7,4]=>111100=>001111 [3,5,6,2,7,4,1]=>[5,3,2,6,1,4,7]=>111000=>000111 [3,5,6,4,1,2,7]=>[7,5,3,1,4,6,2]=>111010=>010111 [3,5,6,4,1,7,2]=>[5,3,1,4,6,2,7]=>111000=>000111 [3,5,6,4,2,1,7]=>[7,5,3,1,2,4,6]=>101010=>010101 [3,5,6,4,2,7,1]=>[5,3,2,4,6,1,7]=>111000=>000111 [3,5,6,4,7,1,2]=>[5,4,6,3,1,7,2]=>111100=>001111 [3,5,6,4,7,2,1]=>[5,4,6,3,1,2,7]=>101100=>001101 [3,5,6,7,1,2,4]=>[6,5,3,1,7,4,2]=>111110=>011111 [3,5,6,7,1,4,2]=>[6,5,3,1,7,2,4]=>111010=>010111 [3,5,6,7,2,1,4]=>[6,5,3,1,2,7,4]=>101110=>011101 [3,5,6,7,2,4,1]=>[6,5,3,2,7,1,4]=>111010=>010111 [3,5,6,7,4,1,2]=>[6,5,3,1,4,7,2]=>111010=>010111 [3,5,6,7,4,2,1]=>[6,5,3,1,2,4,7]=>101010=>010101 [3,5,7,1,2,4,6]=>[5,3,1,7,6,4,2]=>111101=>101111 [3,5,7,1,2,6,4]=>[5,3,1,7,4,6,2]=>111100=>001111 [3,5,7,1,4,2,6]=>[5,3,1,7,6,2,4]=>111001=>100111 [3,5,7,1,4,6,2]=>[5,3,1,7,4,2,6]=>111100=>001111 [3,5,7,1,6,2,4]=>[5,3,1,7,2,6,4]=>111100=>001111 [3,5,7,1,6,4,2]=>[5,3,1,7,2,4,6]=>111000=>000111 [3,5,7,2,1,4,6]=>[5,3,1,2,7,6,4]=>101101=>101101 [3,5,7,2,1,6,4]=>[5,3,1,2,7,4,6]=>101100=>001101 [3,5,7,2,4,1,6]=>[5,3,2,7,6,1,4]=>111001=>100111 [3,5,7,2,4,6,1]=>[5,3,2,7,4,1,6]=>111100=>001111 [3,5,7,2,6,1,4]=>[5,3,2,7,1,6,4]=>111100=>001111 [3,5,7,2,6,4,1]=>[5,3,2,7,1,4,6]=>111000=>000111 [3,5,7,4,1,2,6]=>[5,3,1,4,7,6,2]=>111001=>100111 [3,5,7,4,1,6,2]=>[5,3,1,4,7,2,6]=>111000=>000111 [3,5,7,4,2,1,6]=>[5,3,1,2,4,7,6]=>101001=>100101 [3,5,7,4,2,6,1]=>[5,3,2,4,7,1,6]=>111000=>000111 [3,5,7,4,6,1,2]=>[5,4,7,3,1,6,2]=>111100=>001111 [3,5,7,4,6,2,1]=>[5,4,7,3,1,2,6]=>101100=>001101 [3,5,7,6,1,2,4]=>[5,3,1,6,7,4,2]=>111100=>001111 [3,5,7,6,1,4,2]=>[5,3,1,6,7,2,4]=>111000=>000111 [3,5,7,6,2,1,4]=>[5,3,1,2,6,7,4]=>101100=>001101 [3,5,7,6,2,4,1]=>[5,3,2,6,7,1,4]=>111000=>000111 [3,5,7,6,4,1,2]=>[5,3,1,4,6,7,2]=>111000=>000111 [3,5,7,6,4,2,1]=>[5,3,1,2,4,6,7]=>101000=>000101 [3,6,1,2,4,5,7]=>[7,3,1,6,5,4,2]=>111110=>011111 [3,6,1,2,4,7,5]=>[3,1,6,5,7,4,2]=>110110=>011011 [3,6,1,2,5,4,7]=>[7,3,1,6,4,5,2]=>111100=>001111 [3,6,1,2,5,7,4]=>[3,1,6,5,4,7,2]=>110110=>011011 [3,6,1,2,7,4,5]=>[3,1,6,4,7,5,2]=>110110=>011011 [3,6,1,2,7,5,4]=>[3,1,6,4,5,7,2]=>110100=>001011 [3,6,1,4,2,5,7]=>[7,3,1,6,5,2,4]=>111010=>010111 [3,6,1,4,2,7,5]=>[3,1,6,5,7,2,4]=>110010=>010011 [3,6,1,4,5,2,7]=>[7,3,1,6,4,2,5]=>111100=>001111 [3,6,1,4,5,7,2]=>[3,1,6,5,4,2,7]=>110110=>011011 [3,6,1,4,7,2,5]=>[3,1,6,4,2,7,5]=>110110=>011011 [3,6,1,4,7,5,2]=>[3,1,6,4,2,5,7]=>110100=>001011 [3,6,1,5,2,4,7]=>[7,3,1,6,2,5,4]=>111100=>001111 [3,6,1,5,2,7,4]=>[3,1,6,2,5,4,7]=>110100=>001011 [3,6,1,5,4,2,7]=>[7,3,1,6,2,4,5]=>111000=>000111 [3,6,1,5,4,7,2]=>[3,1,6,4,5,2,7]=>110100=>001011 [3,6,1,5,7,2,4]=>[3,1,6,5,2,7,4]=>110110=>011011 [3,6,1,5,7,4,2]=>[3,1,6,5,2,4,7]=>110010=>010011 [3,6,1,7,2,4,5]=>[3,1,6,2,7,5,4]=>110110=>011011 [3,6,1,7,2,5,4]=>[3,1,6,2,7,4,5]=>110100=>001011 [3,6,1,7,4,2,5]=>[3,1,6,2,4,7,5]=>110010=>010011 [3,6,1,7,4,5,2]=>[3,1,6,4,7,2,5]=>110100=>001011 [3,6,1,7,5,2,4]=>[3,1,6,2,5,7,4]=>110100=>001011 [3,6,1,7,5,4,2]=>[3,1,6,2,4,5,7]=>110000=>000011 [3,6,2,1,4,5,7]=>[7,3,1,2,6,5,4]=>101110=>011101 [3,6,2,1,4,7,5]=>[3,1,2,6,5,7,4]=>100110=>011001 [3,6,2,1,5,4,7]=>[7,3,1,2,6,4,5]=>101100=>001101 [3,6,2,1,5,7,4]=>[3,1,2,6,5,4,7]=>100110=>011001 [3,6,2,1,7,4,5]=>[3,1,2,6,4,7,5]=>100110=>011001 [3,6,2,1,7,5,4]=>[3,1,2,6,4,5,7]=>100100=>001001 [3,6,2,4,1,5,7]=>[7,3,2,6,5,1,4]=>111010=>010111 [3,6,2,4,1,7,5]=>[3,2,6,5,7,1,4]=>110010=>010011 [3,6,2,4,5,1,7]=>[7,3,2,6,4,1,5]=>111100=>001111 [3,6,2,4,5,7,1]=>[3,2,6,5,4,1,7]=>110110=>011011 [3,6,2,4,7,1,5]=>[3,2,6,4,1,7,5]=>110110=>011011 [3,6,2,4,7,5,1]=>[3,2,6,4,1,5,7]=>110100=>001011 [3,6,2,5,1,4,7]=>[7,3,2,6,1,5,4]=>111100=>001111 [3,6,2,5,1,7,4]=>[3,2,6,1,5,4,7]=>110100=>001011 [3,6,2,5,4,1,7]=>[7,3,2,6,1,4,5]=>111000=>000111 [3,6,2,5,4,7,1]=>[3,2,6,4,5,1,7]=>110100=>001011 [3,6,2,5,7,1,4]=>[3,2,6,5,1,7,4]=>110110=>011011 [3,6,2,5,7,4,1]=>[3,2,6,5,1,4,7]=>110010=>010011 [3,6,2,7,1,4,5]=>[3,2,6,1,7,5,4]=>110110=>011011 [3,6,2,7,1,5,4]=>[3,2,6,1,7,4,5]=>110100=>001011 [3,6,2,7,4,1,5]=>[3,2,6,1,4,7,5]=>110010=>010011 [3,6,2,7,4,5,1]=>[3,2,6,4,7,1,5]=>110100=>001011 [3,6,2,7,5,1,4]=>[3,2,6,1,5,7,4]=>110100=>001011 [3,6,2,7,5,4,1]=>[3,2,6,1,4,5,7]=>110000=>000011 [3,6,4,1,2,5,7]=>[7,3,1,4,6,5,2]=>111010=>010111 [3,6,4,1,2,7,5]=>[3,1,4,6,5,7,2]=>110010=>010011 [3,6,4,1,5,2,7]=>[7,3,1,4,6,2,5]=>111000=>000111 [3,6,4,1,5,7,2]=>[3,1,4,6,5,2,7]=>110010=>010011 [3,6,4,1,7,2,5]=>[3,1,4,6,2,7,5]=>110010=>010011 [3,6,4,1,7,5,2]=>[3,1,4,6,2,5,7]=>110000=>000011 [3,6,4,2,1,5,7]=>[7,3,1,2,4,6,5]=>101010=>010101 [3,6,4,2,1,7,5]=>[3,1,2,4,6,5,7]=>100010=>010001 [3,6,4,2,5,1,7]=>[7,3,2,4,6,1,5]=>111000=>000111 [3,6,4,2,5,7,1]=>[3,2,4,6,5,1,7]=>110010=>010011 [3,6,4,2,7,1,5]=>[3,2,4,6,1,7,5]=>110010=>010011 [3,6,4,2,7,5,1]=>[3,2,4,6,1,5,7]=>110000=>000011 [3,6,4,5,1,2,7]=>[7,4,6,3,1,5,2]=>111100=>001111 [3,6,4,5,1,7,2]=>[4,6,3,1,5,2,7]=>111000=>000111 [3,6,4,5,2,1,7]=>[7,4,6,3,1,2,5]=>101100=>001101 [3,6,4,5,2,7,1]=>[4,6,3,2,5,1,7]=>111000=>000111 [3,6,4,5,7,1,2]=>[4,6,5,3,1,7,2]=>111010=>010111 [3,6,4,5,7,2,1]=>[4,6,5,3,1,2,7]=>101010=>010101 [3,6,4,7,1,2,5]=>[4,6,3,1,7,5,2]=>111010=>010111 [3,6,4,7,1,5,2]=>[4,6,3,1,7,2,5]=>111000=>000111 [3,6,4,7,2,1,5]=>[4,6,3,1,2,7,5]=>101010=>010101 [3,6,4,7,2,5,1]=>[4,6,3,2,7,1,5]=>111000=>000111 [3,6,4,7,5,1,2]=>[4,6,3,1,5,7,2]=>111000=>000111 [3,6,4,7,5,2,1]=>[4,6,3,1,2,5,7]=>101000=>000101 [3,6,5,1,2,4,7]=>[7,3,1,5,6,4,2]=>111100=>001111 [3,6,5,1,2,7,4]=>[3,1,5,6,4,7,2]=>110100=>001011 [3,6,5,1,4,2,7]=>[7,3,1,5,6,2,4]=>111000=>000111 [3,6,5,1,4,7,2]=>[3,1,5,6,4,2,7]=>110100=>001011 [3,6,5,1,7,2,4]=>[3,1,5,6,2,7,4]=>110100=>001011 [3,6,5,1,7,4,2]=>[3,1,5,6,2,4,7]=>110000=>000011 [3,6,5,2,1,4,7]=>[7,3,1,2,5,6,4]=>101100=>001101 [3,6,5,2,1,7,4]=>[3,1,2,5,6,4,7]=>100100=>001001 [3,6,5,2,4,1,7]=>[7,3,2,5,6,1,4]=>111000=>000111 [3,6,5,2,4,7,1]=>[3,2,5,6,4,1,7]=>110100=>001011 [3,6,5,2,7,1,4]=>[3,2,5,6,1,7,4]=>110100=>001011 [3,6,5,2,7,4,1]=>[3,2,5,6,1,4,7]=>110000=>000011 [3,6,5,4,1,2,7]=>[7,3,1,4,5,6,2]=>111000=>000111 [3,6,5,4,1,7,2]=>[3,1,4,5,6,2,7]=>110000=>000011 [3,6,5,4,2,1,7]=>[7,3,1,2,4,5,6]=>101000=>000101 [3,6,5,4,2,7,1]=>[3,2,4,5,6,1,7]=>110000=>000011 [3,6,5,4,7,1,2]=>[4,5,6,3,1,7,2]=>111000=>000111 [3,6,5,4,7,2,1]=>[4,5,6,3,1,2,7]=>101000=>000101 [3,6,5,7,1,2,4]=>[5,6,3,1,7,4,2]=>111100=>001111 [3,6,5,7,1,4,2]=>[5,6,3,1,7,2,4]=>111000=>000111 [3,6,5,7,2,1,4]=>[5,6,3,1,2,7,4]=>101100=>001101 [3,6,5,7,2,4,1]=>[5,6,3,2,7,1,4]=>111000=>000111 [3,6,5,7,4,1,2]=>[5,6,3,1,4,7,2]=>111000=>000111 [3,6,5,7,4,2,1]=>[5,6,3,1,2,4,7]=>101000=>000101 [3,6,7,1,2,4,5]=>[6,3,1,7,5,4,2]=>111110=>011111 [3,6,7,1,2,5,4]=>[6,3,1,7,4,5,2]=>111100=>001111 [3,6,7,1,4,2,5]=>[6,3,1,7,5,2,4]=>111010=>010111 [3,6,7,1,4,5,2]=>[6,3,1,7,4,2,5]=>111100=>001111 [3,6,7,1,5,2,4]=>[6,3,1,7,2,5,4]=>111100=>001111 [3,6,7,1,5,4,2]=>[6,3,1,7,2,4,5]=>111000=>000111 [3,6,7,2,1,4,5]=>[6,3,1,2,7,5,4]=>101110=>011101 [3,6,7,2,1,5,4]=>[6,3,1,2,7,4,5]=>101100=>001101 [3,6,7,2,4,1,5]=>[6,3,2,7,5,1,4]=>111010=>010111 [3,6,7,2,4,5,1]=>[6,3,2,7,4,1,5]=>111100=>001111 [3,6,7,2,5,1,4]=>[6,3,2,7,1,5,4]=>111100=>001111 [3,6,7,2,5,4,1]=>[6,3,2,7,1,4,5]=>111000=>000111 [3,6,7,4,1,2,5]=>[6,3,1,4,7,5,2]=>111010=>010111 [3,6,7,4,1,5,2]=>[6,3,1,4,7,2,5]=>111000=>000111 [3,6,7,4,2,1,5]=>[6,3,1,2,4,7,5]=>101010=>010101 [3,6,7,4,2,5,1]=>[6,3,2,4,7,1,5]=>111000=>000111 [3,6,7,4,5,1,2]=>[6,4,7,3,1,5,2]=>111100=>001111 [3,6,7,4,5,2,1]=>[6,4,7,3,1,2,5]=>101100=>001101 [3,6,7,5,1,2,4]=>[6,3,1,5,7,4,2]=>111100=>001111 [3,6,7,5,1,4,2]=>[6,3,1,5,7,2,4]=>111000=>000111 [3,6,7,5,2,1,4]=>[6,3,1,2,5,7,4]=>101100=>001101 [3,6,7,5,2,4,1]=>[6,3,2,5,7,1,4]=>111000=>000111 [3,6,7,5,4,1,2]=>[6,3,1,4,5,7,2]=>111000=>000111 [3,6,7,5,4,2,1]=>[6,3,1,2,4,5,7]=>101000=>000101 [3,7,1,2,4,5,6]=>[3,1,7,6,5,4,2]=>110111=>111011 [3,7,1,2,4,6,5]=>[3,1,7,5,6,4,2]=>110110=>011011 [3,7,1,2,5,4,6]=>[3,1,7,6,4,5,2]=>110101=>101011 [3,7,1,2,5,6,4]=>[3,1,7,5,4,6,2]=>110110=>011011 [3,7,1,2,6,4,5]=>[3,1,7,4,6,5,2]=>110110=>011011 [3,7,1,2,6,5,4]=>[3,1,7,4,5,6,2]=>110100=>001011 [3,7,1,4,2,5,6]=>[3,1,7,6,5,2,4]=>110011=>110011 [3,7,1,4,2,6,5]=>[3,1,7,5,6,2,4]=>110010=>010011 [3,7,1,4,5,2,6]=>[3,1,7,6,4,2,5]=>110101=>101011 [3,7,1,4,5,6,2]=>[3,1,7,5,4,2,6]=>110110=>011011 [3,7,1,4,6,2,5]=>[3,1,7,4,2,6,5]=>110110=>011011 [3,7,1,4,6,5,2]=>[3,1,7,4,2,5,6]=>110100=>001011 [3,7,1,5,2,4,6]=>[3,1,7,6,2,5,4]=>110101=>101011 [3,7,1,5,2,6,4]=>[3,1,7,2,5,4,6]=>110100=>001011 [3,7,1,5,4,2,6]=>[3,1,7,6,2,4,5]=>110001=>100011 [3,7,1,5,4,6,2]=>[3,1,7,4,5,2,6]=>110100=>001011 [3,7,1,5,6,2,4]=>[3,1,7,5,2,6,4]=>110110=>011011 [3,7,1,5,6,4,2]=>[3,1,7,5,2,4,6]=>110010=>010011 [3,7,1,6,2,4,5]=>[3,1,7,2,6,5,4]=>110110=>011011 [3,7,1,6,2,5,4]=>[3,1,7,2,6,4,5]=>110100=>001011 [3,7,1,6,4,2,5]=>[3,1,7,2,4,6,5]=>110010=>010011 [3,7,1,6,4,5,2]=>[3,1,7,4,6,2,5]=>110100=>001011 [3,7,1,6,5,2,4]=>[3,1,7,2,5,6,4]=>110100=>001011 [3,7,1,6,5,4,2]=>[3,1,7,2,4,5,6]=>110000=>000011 [3,7,2,1,4,5,6]=>[3,1,2,7,6,5,4]=>100111=>111001 [3,7,2,1,4,6,5]=>[3,1,2,7,5,6,4]=>100110=>011001 [3,7,2,1,5,4,6]=>[3,1,2,7,6,4,5]=>100101=>101001 [3,7,2,1,5,6,4]=>[3,1,2,7,5,4,6]=>100110=>011001 [3,7,2,1,6,4,5]=>[3,1,2,7,4,6,5]=>100110=>011001 [3,7,2,1,6,5,4]=>[3,1,2,7,4,5,6]=>100100=>001001 [3,7,2,4,1,5,6]=>[3,2,7,6,5,1,4]=>110011=>110011 [3,7,2,4,1,6,5]=>[3,2,7,5,6,1,4]=>110010=>010011 [3,7,2,4,5,1,6]=>[3,2,7,6,4,1,5]=>110101=>101011 [3,7,2,4,5,6,1]=>[3,2,7,5,4,1,6]=>110110=>011011 [3,7,2,4,6,1,5]=>[3,2,7,4,1,6,5]=>110110=>011011 [3,7,2,4,6,5,1]=>[3,2,7,4,1,5,6]=>110100=>001011 [3,7,2,5,1,4,6]=>[3,2,7,6,1,5,4]=>110101=>101011 [3,7,2,5,1,6,4]=>[3,2,7,1,5,4,6]=>110100=>001011 [3,7,2,5,4,1,6]=>[3,2,7,6,1,4,5]=>110001=>100011 [3,7,2,5,4,6,1]=>[3,2,7,4,5,1,6]=>110100=>001011 [3,7,2,5,6,1,4]=>[3,2,7,5,1,6,4]=>110110=>011011 [3,7,2,5,6,4,1]=>[3,2,7,5,1,4,6]=>110010=>010011 [3,7,2,6,1,4,5]=>[3,2,7,1,6,5,4]=>110110=>011011 [3,7,2,6,1,5,4]=>[3,2,7,1,6,4,5]=>110100=>001011 [3,7,2,6,4,1,5]=>[3,2,7,1,4,6,5]=>110010=>010011 [3,7,2,6,4,5,1]=>[3,2,7,4,6,1,5]=>110100=>001011 [3,7,2,6,5,1,4]=>[3,2,7,1,5,6,4]=>110100=>001011 [3,7,2,6,5,4,1]=>[3,2,7,1,4,5,6]=>110000=>000011 [3,7,4,1,2,5,6]=>[3,1,4,7,6,5,2]=>110011=>110011 [3,7,4,1,2,6,5]=>[3,1,4,7,5,6,2]=>110010=>010011 [3,7,4,1,5,2,6]=>[3,1,4,7,6,2,5]=>110001=>100011 [3,7,4,1,5,6,2]=>[3,1,4,7,5,2,6]=>110010=>010011 [3,7,4,1,6,2,5]=>[3,1,4,7,2,6,5]=>110010=>010011 [3,7,4,1,6,5,2]=>[3,1,4,7,2,5,6]=>110000=>000011 [3,7,4,2,1,5,6]=>[3,1,2,4,7,6,5]=>100011=>110001 [3,7,4,2,1,6,5]=>[3,1,2,4,7,5,6]=>100010=>010001 [3,7,4,2,5,1,6]=>[3,2,4,7,6,1,5]=>110001=>100011 [3,7,4,2,5,6,1]=>[3,2,4,7,5,1,6]=>110010=>010011 [3,7,4,2,6,1,5]=>[3,2,4,7,1,6,5]=>110010=>010011 [3,7,4,2,6,5,1]=>[3,2,4,7,1,5,6]=>110000=>000011 [3,7,4,5,1,2,6]=>[4,7,6,3,1,5,2]=>111001=>100111 [3,7,4,5,1,6,2]=>[4,7,3,1,5,2,6]=>111000=>000111 [3,7,4,5,2,1,6]=>[4,7,6,3,1,2,5]=>101001=>100101 [3,7,4,5,2,6,1]=>[4,7,3,2,5,1,6]=>111000=>000111 [3,7,4,5,6,1,2]=>[4,7,5,3,1,6,2]=>111010=>010111 [3,7,4,5,6,2,1]=>[4,7,5,3,1,2,6]=>101010=>010101 [3,7,4,6,1,2,5]=>[4,7,3,1,6,5,2]=>111010=>010111 [3,7,4,6,1,5,2]=>[4,7,3,1,6,2,5]=>111000=>000111 [3,7,4,6,2,1,5]=>[4,7,3,1,2,6,5]=>101010=>010101 [3,7,4,6,2,5,1]=>[4,7,3,2,6,1,5]=>111000=>000111 [3,7,4,6,5,1,2]=>[4,7,3,1,5,6,2]=>111000=>000111 [3,7,4,6,5,2,1]=>[4,7,3,1,2,5,6]=>101000=>000101 [3,7,5,1,2,4,6]=>[3,1,5,7,6,4,2]=>110101=>101011 [3,7,5,1,2,6,4]=>[3,1,5,7,4,6,2]=>110100=>001011 [3,7,5,1,4,2,6]=>[3,1,5,7,6,2,4]=>110001=>100011 [3,7,5,1,4,6,2]=>[3,1,5,7,4,2,6]=>110100=>001011 [3,7,5,1,6,2,4]=>[3,1,5,7,2,6,4]=>110100=>001011 [3,7,5,1,6,4,2]=>[3,1,5,7,2,4,6]=>110000=>000011 [3,7,5,2,1,4,6]=>[3,1,2,5,7,6,4]=>100101=>101001 [3,7,5,2,1,6,4]=>[3,1,2,5,7,4,6]=>100100=>001001 [3,7,5,2,4,1,6]=>[3,2,5,7,6,1,4]=>110001=>100011 [3,7,5,2,4,6,1]=>[3,2,5,7,4,1,6]=>110100=>001011 [3,7,5,2,6,1,4]=>[3,2,5,7,1,6,4]=>110100=>001011 [3,7,5,2,6,4,1]=>[3,2,5,7,1,4,6]=>110000=>000011 [3,7,5,4,1,2,6]=>[3,1,4,5,7,6,2]=>110001=>100011 [3,7,5,4,1,6,2]=>[3,1,4,5,7,2,6]=>110000=>000011 [3,7,5,4,2,1,6]=>[3,1,2,4,5,7,6]=>100001=>100001 [3,7,5,4,2,6,1]=>[3,2,4,5,7,1,6]=>110000=>000011 [3,7,5,4,6,1,2]=>[4,5,7,3,1,6,2]=>111000=>000111 [3,7,5,4,6,2,1]=>[4,5,7,3,1,2,6]=>101000=>000101 [3,7,5,6,1,2,4]=>[5,7,3,1,6,4,2]=>111100=>001111 [3,7,5,6,1,4,2]=>[5,7,3,1,6,2,4]=>111000=>000111 [3,7,5,6,2,1,4]=>[5,7,3,1,2,6,4]=>101100=>001101 [3,7,5,6,2,4,1]=>[5,7,3,2,6,1,4]=>111000=>000111 [3,7,5,6,4,1,2]=>[5,7,3,1,4,6,2]=>111000=>000111 [3,7,5,6,4,2,1]=>[5,7,3,1,2,4,6]=>101000=>000101 [3,7,6,1,2,4,5]=>[3,1,6,7,5,4,2]=>110110=>011011 [3,7,6,1,2,5,4]=>[3,1,6,7,4,5,2]=>110100=>001011 [3,7,6,1,4,2,5]=>[3,1,6,7,5,2,4]=>110010=>010011 [3,7,6,1,4,5,2]=>[3,1,6,7,4,2,5]=>110100=>001011 [3,7,6,1,5,2,4]=>[3,1,6,7,2,5,4]=>110100=>001011 [3,7,6,1,5,4,2]=>[3,1,6,7,2,4,5]=>110000=>000011 [3,7,6,2,1,4,5]=>[3,1,2,6,7,5,4]=>100110=>011001 [3,7,6,2,1,5,4]=>[3,1,2,6,7,4,5]=>100100=>001001 [3,7,6,2,4,1,5]=>[3,2,6,7,5,1,4]=>110010=>010011 [3,7,6,2,4,5,1]=>[3,2,6,7,4,1,5]=>110100=>001011 [3,7,6,2,5,1,4]=>[3,2,6,7,1,5,4]=>110100=>001011 [3,7,6,2,5,4,1]=>[3,2,6,7,1,4,5]=>110000=>000011 [3,7,6,4,1,2,5]=>[3,1,4,6,7,5,2]=>110010=>010011 [3,7,6,4,1,5,2]=>[3,1,4,6,7,2,5]=>110000=>000011 [3,7,6,4,2,1,5]=>[3,1,2,4,6,7,5]=>100010=>010001 [3,7,6,4,2,5,1]=>[3,2,4,6,7,1,5]=>110000=>000011 [3,7,6,4,5,1,2]=>[4,6,7,3,1,5,2]=>111000=>000111 [3,7,6,4,5,2,1]=>[4,6,7,3,1,2,5]=>101000=>000101 [3,7,6,5,1,2,4]=>[3,1,5,6,7,4,2]=>110100=>001011 [3,7,6,5,1,4,2]=>[3,1,5,6,7,2,4]=>110000=>000011 [3,7,6,5,2,1,4]=>[3,1,2,5,6,7,4]=>100100=>001001 [3,7,6,5,2,4,1]=>[3,2,5,6,7,1,4]=>110000=>000011 [3,7,6,5,4,1,2]=>[3,1,4,5,6,7,2]=>110000=>000011 [3,7,6,5,4,2,1]=>[3,1,2,4,5,6,7]=>100000=>000001 [4,1,2,3,5,6,7]=>[7,6,5,1,4,3,2]=>111011=>110111 [4,1,2,3,5,7,6]=>[6,7,5,1,4,3,2]=>111010=>010111 [4,1,2,3,6,5,7]=>[7,5,6,1,4,3,2]=>111010=>010111 [4,1,2,3,6,7,5]=>[6,5,7,1,4,3,2]=>111010=>010111 [4,1,2,3,7,5,6]=>[5,7,6,1,4,3,2]=>111001=>100111 [4,1,2,3,7,6,5]=>[5,6,7,1,4,3,2]=>111000=>000111 [4,1,2,5,3,6,7]=>[7,6,1,4,3,5,2]=>111001=>100111 [4,1,2,5,3,7,6]=>[6,7,1,4,3,5,2]=>111000=>000111 [4,1,2,5,6,3,7]=>[7,5,1,4,3,6,2]=>111010=>010111 [4,1,2,5,6,7,3]=>[6,5,1,4,3,7,2]=>111010=>010111 [4,1,2,5,7,3,6]=>[5,1,4,3,7,6,2]=>111001=>100111 [4,1,2,5,7,6,3]=>[5,1,4,3,6,7,2]=>111000=>000111 [4,1,2,6,3,5,7]=>[7,1,4,3,6,5,2]=>111010=>010111 [4,1,2,6,3,7,5]=>[1,4,3,6,5,7,2]=>011010=>010110 [4,1,2,6,5,3,7]=>[7,1,4,3,5,6,2]=>111000=>000111 [4,1,2,6,5,7,3]=>[5,6,1,4,3,7,2]=>111000=>000111 [4,1,2,6,7,3,5]=>[6,1,4,3,7,5,2]=>111010=>010111 [4,1,2,6,7,5,3]=>[6,1,4,3,5,7,2]=>111000=>000111 [4,1,2,7,3,5,6]=>[1,4,3,7,6,5,2]=>011011=>110110 [4,1,2,7,3,6,5]=>[1,4,3,7,5,6,2]=>011010=>010110 [4,1,2,7,5,3,6]=>[1,4,3,5,7,6,2]=>011001=>100110 [4,1,2,7,5,6,3]=>[5,7,1,4,3,6,2]=>111000=>000111 [4,1,2,7,6,3,5]=>[1,4,3,6,7,5,2]=>011010=>010110 [4,1,2,7,6,5,3]=>[1,4,3,5,6,7,2]=>011000=>000110 [4,1,3,2,5,6,7]=>[7,6,5,1,4,2,3]=>110011=>110011 [4,1,3,2,5,7,6]=>[6,7,5,1,4,2,3]=>110010=>010011 [4,1,3,2,6,5,7]=>[7,5,6,1,4,2,3]=>110010=>010011 [4,1,3,2,6,7,5]=>[6,5,7,1,4,2,3]=>110010=>010011 [4,1,3,2,7,5,6]=>[5,7,6,1,4,2,3]=>110001=>100011 [4,1,3,2,7,6,5]=>[5,6,7,1,4,2,3]=>110000=>000011 [4,1,3,5,2,6,7]=>[7,6,1,4,3,2,5]=>111001=>100111 [4,1,3,5,2,7,6]=>[6,7,1,4,3,2,5]=>111000=>000111 [4,1,3,5,6,2,7]=>[7,5,1,4,3,2,6]=>111010=>010111 [4,1,3,5,6,7,2]=>[6,5,1,4,3,2,7]=>111010=>010111 [4,1,3,5,7,2,6]=>[5,1,4,3,2,7,6]=>111001=>100111 [4,1,3,5,7,6,2]=>[5,1,4,3,2,6,7]=>111000=>000111 [4,1,3,6,2,5,7]=>[7,1,4,3,2,6,5]=>111010=>010111 [4,1,3,6,2,7,5]=>[1,4,3,2,6,5,7]=>011010=>010110 [4,1,3,6,5,2,7]=>[7,1,4,3,2,5,6]=>111000=>000111 [4,1,3,6,5,7,2]=>[5,6,1,4,3,2,7]=>111000=>000111 [4,1,3,6,7,2,5]=>[6,1,4,3,2,7,5]=>111010=>010111 [4,1,3,6,7,5,2]=>[6,1,4,3,2,5,7]=>111000=>000111 [4,1,3,7,2,5,6]=>[1,4,3,2,7,6,5]=>011011=>110110 [4,1,3,7,2,6,5]=>[1,4,3,2,7,5,6]=>011010=>010110 [4,1,3,7,5,2,6]=>[1,4,3,2,5,7,6]=>011001=>100110 [4,1,3,7,5,6,2]=>[5,7,1,4,3,2,6]=>111000=>000111 [4,1,3,7,6,2,5]=>[1,4,3,2,6,7,5]=>011010=>010110 [4,1,3,7,6,5,2]=>[1,4,3,2,5,6,7]=>011000=>000110 [4,1,5,2,3,6,7]=>[7,6,1,4,2,5,3]=>111001=>100111 [4,1,5,2,3,7,6]=>[6,7,1,4,2,5,3]=>111000=>000111 [4,1,5,2,6,3,7]=>[7,1,4,2,5,3,6]=>111000=>000111 [4,1,5,2,6,7,3]=>[6,1,4,2,5,3,7]=>111000=>000111 [4,1,5,2,7,3,6]=>[1,4,2,5,3,7,6]=>011001=>100110 [4,1,5,2,7,6,3]=>[1,4,2,5,3,6,7]=>011000=>000110 [4,1,5,3,2,6,7]=>[7,6,1,4,2,3,5]=>110001=>100011 [4,1,5,3,2,7,6]=>[6,7,1,4,2,3,5]=>110000=>000011 [4,1,5,3,6,2,7]=>[7,1,4,3,5,2,6]=>111000=>000111 [4,1,5,3,6,7,2]=>[6,1,4,3,5,2,7]=>111000=>000111 [4,1,5,3,7,2,6]=>[1,4,3,5,2,7,6]=>011001=>100110 [4,1,5,3,7,6,2]=>[1,4,3,5,2,6,7]=>011000=>000110 [4,1,5,6,2,3,7]=>[7,5,1,4,2,6,3]=>111010=>010111 [4,1,5,6,2,7,3]=>[5,1,4,2,6,3,7]=>111000=>000111 [4,1,5,6,3,2,7]=>[7,5,1,4,2,3,6]=>110010=>010011 [4,1,5,6,3,7,2]=>[5,1,4,3,6,2,7]=>111000=>000111 [4,1,5,6,7,2,3]=>[6,5,1,4,2,7,3]=>111010=>010111 [4,1,5,6,7,3,2]=>[6,5,1,4,2,3,7]=>110010=>010011 [4,1,5,7,2,3,6]=>[5,1,4,2,7,6,3]=>111001=>100111 [4,1,5,7,2,6,3]=>[5,1,4,2,7,3,6]=>111000=>000111 [4,1,5,7,3,2,6]=>[5,1,4,2,3,7,6]=>110001=>100011 [4,1,5,7,3,6,2]=>[5,1,4,3,7,2,6]=>111000=>000111 [4,1,5,7,6,2,3]=>[5,1,4,2,6,7,3]=>111000=>000111 [4,1,5,7,6,3,2]=>[5,1,4,2,3,6,7]=>110000=>000011 [4,1,6,2,3,5,7]=>[7,1,4,2,6,5,3]=>111010=>010111 [4,1,6,2,3,7,5]=>[1,4,2,6,5,7,3]=>011010=>010110 [4,1,6,2,5,3,7]=>[7,1,4,2,6,3,5]=>111000=>000111 [4,1,6,2,5,7,3]=>[1,4,2,6,5,3,7]=>011010=>010110 [4,1,6,2,7,3,5]=>[1,4,2,6,3,7,5]=>011010=>010110 [4,1,6,2,7,5,3]=>[1,4,2,6,3,5,7]=>011000=>000110 [4,1,6,3,2,5,7]=>[7,1,4,2,3,6,5]=>110010=>010011 [4,1,6,3,2,7,5]=>[1,4,2,3,6,5,7]=>010010=>010010 [4,1,6,3,5,2,7]=>[7,1,4,3,6,2,5]=>111000=>000111 [4,1,6,3,5,7,2]=>[1,4,3,6,5,2,7]=>011010=>010110 [4,1,6,3,7,2,5]=>[1,4,3,6,2,7,5]=>011010=>010110 [4,1,6,3,7,5,2]=>[1,4,3,6,2,5,7]=>011000=>000110 [4,1,6,5,2,3,7]=>[7,1,4,2,5,6,3]=>111000=>000111 [4,1,6,5,2,7,3]=>[1,4,2,5,6,3,7]=>011000=>000110 [4,1,6,5,3,2,7]=>[7,1,4,2,3,5,6]=>110000=>000011 [4,1,6,5,3,7,2]=>[1,4,3,5,6,2,7]=>011000=>000110 [4,1,6,5,7,2,3]=>[5,6,1,4,2,7,3]=>111000=>000111 [4,1,6,5,7,3,2]=>[5,6,1,4,2,3,7]=>110000=>000011 [4,1,6,7,2,3,5]=>[6,1,4,2,7,5,3]=>111010=>010111 [4,1,6,7,2,5,3]=>[6,1,4,2,7,3,5]=>111000=>000111 [4,1,6,7,3,2,5]=>[6,1,4,2,3,7,5]=>110010=>010011 [4,1,6,7,3,5,2]=>[6,1,4,3,7,2,5]=>111000=>000111 [4,1,6,7,5,2,3]=>[6,1,4,2,5,7,3]=>111000=>000111 [4,1,6,7,5,3,2]=>[6,1,4,2,3,5,7]=>110000=>000011 [4,1,7,2,3,5,6]=>[1,4,2,7,6,5,3]=>011011=>110110 [4,1,7,2,3,6,5]=>[1,4,2,7,5,6,3]=>011010=>010110 [4,1,7,2,5,3,6]=>[1,4,2,7,6,3,5]=>011001=>100110 [4,1,7,2,5,6,3]=>[1,4,2,7,5,3,6]=>011010=>010110 [4,1,7,2,6,3,5]=>[1,4,2,7,3,6,5]=>011010=>010110 [4,1,7,2,6,5,3]=>[1,4,2,7,3,5,6]=>011000=>000110 [4,1,7,3,2,5,6]=>[1,4,2,3,7,6,5]=>010011=>110010 [4,1,7,3,2,6,5]=>[1,4,2,3,7,5,6]=>010010=>010010 [4,1,7,3,5,2,6]=>[1,4,3,7,6,2,5]=>011001=>100110 [4,1,7,3,5,6,2]=>[1,4,3,7,5,2,6]=>011010=>010110 [4,1,7,3,6,2,5]=>[1,4,3,7,2,6,5]=>011010=>010110 [4,1,7,3,6,5,2]=>[1,4,3,7,2,5,6]=>011000=>000110 [4,1,7,5,2,3,6]=>[1,4,2,5,7,6,3]=>011001=>100110 [4,1,7,5,2,6,3]=>[1,4,2,5,7,3,6]=>011000=>000110 [4,1,7,5,3,2,6]=>[1,4,2,3,5,7,6]=>010001=>100010 [4,1,7,5,3,6,2]=>[1,4,3,5,7,2,6]=>011000=>000110 [4,1,7,5,6,2,3]=>[5,7,1,4,2,6,3]=>111000=>000111 [4,1,7,5,6,3,2]=>[5,7,1,4,2,3,6]=>110000=>000011 [4,1,7,6,2,3,5]=>[1,4,2,6,7,5,3]=>011010=>010110 [4,1,7,6,2,5,3]=>[1,4,2,6,7,3,5]=>011000=>000110 [4,1,7,6,3,2,5]=>[1,4,2,3,6,7,5]=>010010=>010010 [4,1,7,6,3,5,2]=>[1,4,3,6,7,2,5]=>011000=>000110 [4,1,7,6,5,2,3]=>[1,4,2,5,6,7,3]=>011000=>000110 [4,1,7,6,5,3,2]=>[1,4,2,3,5,6,7]=>010000=>000010 [4,2,1,3,5,6,7]=>[7,6,5,1,2,4,3]=>101011=>110101 [4,2,1,3,5,7,6]=>[6,7,5,1,2,4,3]=>101010=>010101 [4,2,1,3,6,5,7]=>[7,5,6,1,2,4,3]=>101010=>010101 [4,2,1,3,6,7,5]=>[6,5,7,1,2,4,3]=>101010=>010101 [4,2,1,3,7,5,6]=>[5,7,6,1,2,4,3]=>101001=>100101 [4,2,1,3,7,6,5]=>[5,6,7,1,2,4,3]=>101000=>000101 [4,2,1,5,3,6,7]=>[7,6,1,2,4,3,5]=>101001=>100101 [4,2,1,5,3,7,6]=>[6,7,1,2,4,3,5]=>101000=>000101 [4,2,1,5,6,3,7]=>[7,5,1,2,4,3,6]=>101010=>010101 [4,2,1,5,6,7,3]=>[6,5,1,2,4,3,7]=>101010=>010101 [4,2,1,5,7,3,6]=>[5,1,2,4,3,7,6]=>101001=>100101 [4,2,1,5,7,6,3]=>[5,1,2,4,3,6,7]=>101000=>000101 [4,2,1,6,3,5,7]=>[7,1,2,4,3,6,5]=>101010=>010101 [4,2,1,6,3,7,5]=>[1,2,4,3,6,5,7]=>001010=>010100 [4,2,1,6,5,3,7]=>[7,1,2,4,3,5,6]=>101000=>000101 [4,2,1,6,5,7,3]=>[5,6,1,2,4,3,7]=>101000=>000101 [4,2,1,6,7,3,5]=>[6,1,2,4,3,7,5]=>101010=>010101 [4,2,1,6,7,5,3]=>[6,1,2,4,3,5,7]=>101000=>000101 [4,2,1,7,3,5,6]=>[1,2,4,3,7,6,5]=>001011=>110100 [4,2,1,7,3,6,5]=>[1,2,4,3,7,5,6]=>001010=>010100 [4,2,1,7,5,3,6]=>[1,2,4,3,5,7,6]=>001001=>100100 [4,2,1,7,5,6,3]=>[5,7,1,2,4,3,6]=>101000=>000101 [4,2,1,7,6,3,5]=>[1,2,4,3,6,7,5]=>001010=>010100 [4,2,1,7,6,5,3]=>[1,2,4,3,5,6,7]=>001000=>000100 [4,2,3,1,5,6,7]=>[7,6,5,2,4,1,3]=>110011=>110011 [4,2,3,1,5,7,6]=>[6,7,5,2,4,1,3]=>110010=>010011 [4,2,3,1,6,5,7]=>[7,5,6,2,4,1,3]=>110010=>010011 [4,2,3,1,6,7,5]=>[6,5,7,2,4,1,3]=>110010=>010011 [4,2,3,1,7,5,6]=>[5,7,6,2,4,1,3]=>110001=>100011 [4,2,3,1,7,6,5]=>[5,6,7,2,4,1,3]=>110000=>000011 [4,2,3,5,1,6,7]=>[7,6,2,4,3,1,5]=>111001=>100111 [4,2,3,5,1,7,6]=>[6,7,2,4,3,1,5]=>111000=>000111 [4,2,3,5,6,1,7]=>[7,5,2,4,3,1,6]=>111010=>010111 [4,2,3,5,6,7,1]=>[6,5,2,4,3,1,7]=>111010=>010111 [4,2,3,5,7,1,6]=>[5,2,4,3,1,7,6]=>111001=>100111 [4,2,3,5,7,6,1]=>[5,2,4,3,1,6,7]=>111000=>000111 [4,2,3,6,1,5,7]=>[7,2,4,3,1,6,5]=>111010=>010111 [4,2,3,6,1,7,5]=>[2,4,3,1,6,5,7]=>101010=>010101 [4,2,3,6,5,1,7]=>[7,2,4,3,1,5,6]=>111000=>000111 [4,2,3,6,5,7,1]=>[5,6,2,4,3,1,7]=>111000=>000111 [4,2,3,6,7,1,5]=>[6,2,4,3,1,7,5]=>111010=>010111 [4,2,3,6,7,5,1]=>[6,2,4,3,1,5,7]=>111000=>000111 [4,2,3,7,1,5,6]=>[2,4,3,1,7,6,5]=>101011=>110101 [4,2,3,7,1,6,5]=>[2,4,3,1,7,5,6]=>101010=>010101 [4,2,3,7,5,1,6]=>[2,4,3,1,5,7,6]=>101001=>100101 [4,2,3,7,5,6,1]=>[5,7,2,4,3,1,6]=>111000=>000111 [4,2,3,7,6,1,5]=>[2,4,3,1,6,7,5]=>101010=>010101 [4,2,3,7,6,5,1]=>[2,4,3,1,5,6,7]=>101000=>000101 [4,2,5,1,3,6,7]=>[7,6,2,4,1,5,3]=>111001=>100111 [4,2,5,1,3,7,6]=>[6,7,2,4,1,5,3]=>111000=>000111 [4,2,5,1,6,3,7]=>[7,2,4,1,5,3,6]=>111000=>000111 [4,2,5,1,6,7,3]=>[6,2,4,1,5,3,7]=>111000=>000111 [4,2,5,1,7,3,6]=>[2,4,1,5,3,7,6]=>101001=>100101 [4,2,5,1,7,6,3]=>[2,4,1,5,3,6,7]=>101000=>000101 [4,2,5,3,1,6,7]=>[7,6,2,4,1,3,5]=>110001=>100011 [4,2,5,3,1,7,6]=>[6,7,2,4,1,3,5]=>110000=>000011 [4,2,5,3,6,1,7]=>[7,2,4,3,5,1,6]=>111000=>000111 [4,2,5,3,6,7,1]=>[6,2,4,3,5,1,7]=>111000=>000111 [4,2,5,3,7,1,6]=>[2,4,3,5,1,7,6]=>101001=>100101 [4,2,5,3,7,6,1]=>[2,4,3,5,1,6,7]=>101000=>000101 [4,2,5,6,1,3,7]=>[7,5,2,4,1,6,3]=>111010=>010111 [4,2,5,6,1,7,3]=>[5,2,4,1,6,3,7]=>111000=>000111 [4,2,5,6,3,1,7]=>[7,5,2,4,1,3,6]=>110010=>010011 [4,2,5,6,3,7,1]=>[5,2,4,3,6,1,7]=>111000=>000111 [4,2,5,6,7,1,3]=>[6,5,2,4,1,7,3]=>111010=>010111 [4,2,5,6,7,3,1]=>[6,5,2,4,1,3,7]=>110010=>010011 [4,2,5,7,1,3,6]=>[5,2,4,1,7,6,3]=>111001=>100111 [4,2,5,7,1,6,3]=>[5,2,4,1,7,3,6]=>111000=>000111 [4,2,5,7,3,1,6]=>[5,2,4,1,3,7,6]=>110001=>100011 [4,2,5,7,3,6,1]=>[5,2,4,3,7,1,6]=>111000=>000111 [4,2,5,7,6,1,3]=>[5,2,4,1,6,7,3]=>111000=>000111 [4,2,5,7,6,3,1]=>[5,2,4,1,3,6,7]=>110000=>000011 [4,2,6,1,3,5,7]=>[7,2,4,1,6,5,3]=>111010=>010111 [4,2,6,1,3,7,5]=>[2,4,1,6,5,7,3]=>101010=>010101 [4,2,6,1,5,3,7]=>[7,2,4,1,6,3,5]=>111000=>000111 [4,2,6,1,5,7,3]=>[2,4,1,6,5,3,7]=>101010=>010101 [4,2,6,1,7,3,5]=>[2,4,1,6,3,7,5]=>101010=>010101 [4,2,6,1,7,5,3]=>[2,4,1,6,3,5,7]=>101000=>000101 [4,2,6,3,1,5,7]=>[7,2,4,1,3,6,5]=>110010=>010011 [4,2,6,3,1,7,5]=>[2,4,1,3,6,5,7]=>100010=>010001 [4,2,6,3,5,1,7]=>[7,2,4,3,6,1,5]=>111000=>000111 [4,2,6,3,5,7,1]=>[2,4,3,6,5,1,7]=>101010=>010101 [4,2,6,3,7,1,5]=>[2,4,3,6,1,7,5]=>101010=>010101 [4,2,6,3,7,5,1]=>[2,4,3,6,1,5,7]=>101000=>000101 [4,2,6,5,1,3,7]=>[7,2,4,1,5,6,3]=>111000=>000111 [4,2,6,5,1,7,3]=>[2,4,1,5,6,3,7]=>101000=>000101 [4,2,6,5,3,1,7]=>[7,2,4,1,3,5,6]=>110000=>000011 [4,2,6,5,3,7,1]=>[2,4,3,5,6,1,7]=>101000=>000101 [4,2,6,5,7,1,3]=>[5,6,2,4,1,7,3]=>111000=>000111 [4,2,6,5,7,3,1]=>[5,6,2,4,1,3,7]=>110000=>000011 [4,2,6,7,1,3,5]=>[6,2,4,1,7,5,3]=>111010=>010111 [4,2,6,7,1,5,3]=>[6,2,4,1,7,3,5]=>111000=>000111 [4,2,6,7,3,1,5]=>[6,2,4,1,3,7,5]=>110010=>010011 [4,2,6,7,3,5,1]=>[6,2,4,3,7,1,5]=>111000=>000111 [4,2,6,7,5,1,3]=>[6,2,4,1,5,7,3]=>111000=>000111 [4,2,6,7,5,3,1]=>[6,2,4,1,3,5,7]=>110000=>000011 [4,2,7,1,3,5,6]=>[2,4,1,7,6,5,3]=>101011=>110101 [4,2,7,1,3,6,5]=>[2,4,1,7,5,6,3]=>101010=>010101 [4,2,7,1,5,3,6]=>[2,4,1,7,6,3,5]=>101001=>100101 [4,2,7,1,5,6,3]=>[2,4,1,7,5,3,6]=>101010=>010101 [4,2,7,1,6,3,5]=>[2,4,1,7,3,6,5]=>101010=>010101 [4,2,7,1,6,5,3]=>[2,4,1,7,3,5,6]=>101000=>000101 [4,2,7,3,1,5,6]=>[2,4,1,3,7,6,5]=>100011=>110001 [4,2,7,3,1,6,5]=>[2,4,1,3,7,5,6]=>100010=>010001 [4,2,7,3,5,1,6]=>[2,4,3,7,6,1,5]=>101001=>100101 [4,2,7,3,5,6,1]=>[2,4,3,7,5,1,6]=>101010=>010101 [4,2,7,3,6,1,5]=>[2,4,3,7,1,6,5]=>101010=>010101 [4,2,7,3,6,5,1]=>[2,4,3,7,1,5,6]=>101000=>000101 [4,2,7,5,1,3,6]=>[2,4,1,5,7,6,3]=>101001=>100101 [4,2,7,5,1,6,3]=>[2,4,1,5,7,3,6]=>101000=>000101 [4,2,7,5,3,1,6]=>[2,4,1,3,5,7,6]=>100001=>100001 [4,2,7,5,3,6,1]=>[2,4,3,5,7,1,6]=>101000=>000101 [4,2,7,5,6,1,3]=>[5,7,2,4,1,6,3]=>111000=>000111 [4,2,7,5,6,3,1]=>[5,7,2,4,1,3,6]=>110000=>000011 [4,2,7,6,1,3,5]=>[2,4,1,6,7,5,3]=>101010=>010101 [4,2,7,6,1,5,3]=>[2,4,1,6,7,3,5]=>101000=>000101 [4,2,7,6,3,1,5]=>[2,4,1,3,6,7,5]=>100010=>010001 [4,2,7,6,3,5,1]=>[2,4,3,6,7,1,5]=>101000=>000101 [4,2,7,6,5,1,3]=>[2,4,1,5,6,7,3]=>101000=>000101 [4,2,7,6,5,3,1]=>[2,4,1,3,5,6,7]=>100000=>000001 [4,3,1,2,5,6,7]=>[7,6,5,1,3,4,2]=>110011=>110011 [4,3,1,2,5,7,6]=>[6,7,5,1,3,4,2]=>110010=>010011 [4,3,1,2,6,5,7]=>[7,5,6,1,3,4,2]=>110010=>010011 [4,3,1,2,6,7,5]=>[6,5,7,1,3,4,2]=>110010=>010011 [4,3,1,2,7,5,6]=>[5,7,6,1,3,4,2]=>110001=>100011 [4,3,1,2,7,6,5]=>[5,6,7,1,3,4,2]=>110000=>000011 [4,3,1,5,2,6,7]=>[7,6,1,3,4,2,5]=>110001=>100011 [4,3,1,5,2,7,6]=>[6,7,1,3,4,2,5]=>110000=>000011 [4,3,1,5,6,2,7]=>[7,5,1,3,4,2,6]=>110010=>010011 [4,3,1,5,6,7,2]=>[6,5,1,3,4,2,7]=>110010=>010011 [4,3,1,5,7,2,6]=>[5,1,3,4,2,7,6]=>110001=>100011 [4,3,1,5,7,6,2]=>[5,1,3,4,2,6,7]=>110000=>000011 [4,3,1,6,2,5,7]=>[7,1,3,4,2,6,5]=>110010=>010011 [4,3,1,6,2,7,5]=>[1,3,4,2,6,5,7]=>010010=>010010 [4,3,1,6,5,2,7]=>[7,1,3,4,2,5,6]=>110000=>000011 [4,3,1,6,5,7,2]=>[5,6,1,3,4,2,7]=>110000=>000011 [4,3,1,6,7,2,5]=>[6,1,3,4,2,7,5]=>110010=>010011 [4,3,1,6,7,5,2]=>[6,1,3,4,2,5,7]=>110000=>000011 [4,3,1,7,2,5,6]=>[1,3,4,2,7,6,5]=>010011=>110010 [4,3,1,7,2,6,5]=>[1,3,4,2,7,5,6]=>010010=>010010 [4,3,1,7,5,2,6]=>[1,3,4,2,5,7,6]=>010001=>100010 [4,3,1,7,5,6,2]=>[5,7,1,3,4,2,6]=>110000=>000011 [4,3,1,7,6,2,5]=>[1,3,4,2,6,7,5]=>010010=>010010 [4,3,1,7,6,5,2]=>[1,3,4,2,5,6,7]=>010000=>000010 [4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>100011=>110001 [4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>100010=>010001 [4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>100010=>010001 [4,3,2,1,6,7,5]=>[6,5,7,1,2,3,4]=>100010=>010001 [4,3,2,1,7,5,6]=>[5,7,6,1,2,3,4]=>100001=>100001 [4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>100000=>000001 [4,3,2,5,1,6,7]=>[7,6,2,3,4,1,5]=>110001=>100011 [4,3,2,5,1,7,6]=>[6,7,2,3,4,1,5]=>110000=>000011 [4,3,2,5,6,1,7]=>[7,5,2,3,4,1,6]=>110010=>010011 [4,3,2,5,6,7,1]=>[6,5,2,3,4,1,7]=>110010=>010011 [4,3,2,5,7,1,6]=>[5,2,3,4,1,7,6]=>110001=>100011 [4,3,2,5,7,6,1]=>[5,2,3,4,1,6,7]=>110000=>000011 [4,3,2,6,1,5,7]=>[7,2,3,4,1,6,5]=>110010=>010011 [4,3,2,6,1,7,5]=>[2,3,4,1,6,5,7]=>100010=>010001 [4,3,2,6,5,1,7]=>[7,2,3,4,1,5,6]=>110000=>000011 [4,3,2,6,5,7,1]=>[5,6,2,3,4,1,7]=>110000=>000011 [4,3,2,6,7,1,5]=>[6,2,3,4,1,7,5]=>110010=>010011 [4,3,2,6,7,5,1]=>[6,2,3,4,1,5,7]=>110000=>000011 [4,3,2,7,1,5,6]=>[2,3,4,1,7,6,5]=>100011=>110001 [4,3,2,7,1,6,5]=>[2,3,4,1,7,5,6]=>100010=>010001 [4,3,2,7,5,1,6]=>[2,3,4,1,5,7,6]=>100001=>100001 [4,3,2,7,5,6,1]=>[5,7,2,3,4,1,6]=>110000=>000011 [4,3,2,7,6,1,5]=>[2,3,4,1,6,7,5]=>100010=>010001 [4,3,2,7,6,5,1]=>[2,3,4,1,5,6,7]=>100000=>000001 [4,3,5,1,2,6,7]=>[7,6,3,4,1,5,2]=>111001=>100111 [4,3,5,1,2,7,6]=>[6,7,3,4,1,5,2]=>111000=>000111 [4,3,5,1,6,2,7]=>[7,3,4,1,5,2,6]=>111000=>000111 [4,3,5,1,6,7,2]=>[6,3,4,1,5,2,7]=>111000=>000111 [4,3,5,1,7,2,6]=>[3,4,1,5,2,7,6]=>110001=>100011 [4,3,5,1,7,6,2]=>[3,4,1,5,2,6,7]=>110000=>000011 [4,3,5,2,1,6,7]=>[7,6,3,4,1,2,5]=>101001=>100101 [4,3,5,2,1,7,6]=>[6,7,3,4,1,2,5]=>101000=>000101 [4,3,5,2,6,1,7]=>[7,3,4,2,5,1,6]=>111000=>000111 [4,3,5,2,6,7,1]=>[6,3,4,2,5,1,7]=>111000=>000111 [4,3,5,2,7,1,6]=>[3,4,2,5,1,7,6]=>110001=>100011 [4,3,5,2,7,6,1]=>[3,4,2,5,1,6,7]=>110000=>000011 [4,3,5,6,1,2,7]=>[7,5,3,4,1,6,2]=>111010=>010111 [4,3,5,6,1,7,2]=>[5,3,4,1,6,2,7]=>111000=>000111 [4,3,5,6,2,1,7]=>[7,5,3,4,1,2,6]=>101010=>010101 [4,3,5,6,2,7,1]=>[5,3,4,2,6,1,7]=>111000=>000111 [4,3,5,6,7,1,2]=>[6,5,3,4,1,7,2]=>111010=>010111 [4,3,5,6,7,2,1]=>[6,5,3,4,1,2,7]=>101010=>010101 [4,3,5,7,1,2,6]=>[5,3,4,1,7,6,2]=>111001=>100111 [4,3,5,7,1,6,2]=>[5,3,4,1,7,2,6]=>111000=>000111 [4,3,5,7,2,1,6]=>[5,3,4,1,2,7,6]=>101001=>100101 [4,3,5,7,2,6,1]=>[5,3,4,2,7,1,6]=>111000=>000111 [4,3,5,7,6,1,2]=>[5,3,4,1,6,7,2]=>111000=>000111 [4,3,5,7,6,2,1]=>[5,3,4,1,2,6,7]=>101000=>000101 [4,3,6,1,2,5,7]=>[7,3,4,1,6,5,2]=>111010=>010111 [4,3,6,1,2,7,5]=>[3,4,1,6,5,7,2]=>110010=>010011 [4,3,6,1,5,2,7]=>[7,3,4,1,6,2,5]=>111000=>000111 [4,3,6,1,5,7,2]=>[3,4,1,6,5,2,7]=>110010=>010011 [4,3,6,1,7,2,5]=>[3,4,1,6,2,7,5]=>110010=>010011 [4,3,6,1,7,5,2]=>[3,4,1,6,2,5,7]=>110000=>000011 [4,3,6,2,1,5,7]=>[7,3,4,1,2,6,5]=>101010=>010101 [4,3,6,2,1,7,5]=>[3,4,1,2,6,5,7]=>100010=>010001 [4,3,6,2,5,1,7]=>[7,3,4,2,6,1,5]=>111000=>000111 [4,3,6,2,5,7,1]=>[3,4,2,6,5,1,7]=>110010=>010011 [4,3,6,2,7,1,5]=>[3,4,2,6,1,7,5]=>110010=>010011 [4,3,6,2,7,5,1]=>[3,4,2,6,1,5,7]=>110000=>000011 [4,3,6,5,1,2,7]=>[7,3,4,1,5,6,2]=>111000=>000111 [4,3,6,5,1,7,2]=>[3,4,1,5,6,2,7]=>110000=>000011 [4,3,6,5,2,1,7]=>[7,3,4,1,2,5,6]=>101000=>000101 [4,3,6,5,2,7,1]=>[3,4,2,5,6,1,7]=>110000=>000011 [4,3,6,5,7,1,2]=>[5,6,3,4,1,7,2]=>111000=>000111 [4,3,6,5,7,2,1]=>[5,6,3,4,1,2,7]=>101000=>000101 [4,3,6,7,1,2,5]=>[6,3,4,1,7,5,2]=>111010=>010111 [4,3,6,7,1,5,2]=>[6,3,4,1,7,2,5]=>111000=>000111 [4,3,6,7,2,1,5]=>[6,3,4,1,2,7,5]=>101010=>010101 [4,3,6,7,2,5,1]=>[6,3,4,2,7,1,5]=>111000=>000111 [4,3,6,7,5,1,2]=>[6,3,4,1,5,7,2]=>111000=>000111 [4,3,6,7,5,2,1]=>[6,3,4,1,2,5,7]=>101000=>000101 [4,3,7,1,2,5,6]=>[3,4,1,7,6,5,2]=>110011=>110011 [4,3,7,1,2,6,5]=>[3,4,1,7,5,6,2]=>110010=>010011 [4,3,7,1,5,2,6]=>[3,4,1,7,6,2,5]=>110001=>100011 [4,3,7,1,5,6,2]=>[3,4,1,7,5,2,6]=>110010=>010011 [4,3,7,1,6,2,5]=>[3,4,1,7,2,6,5]=>110010=>010011 [4,3,7,1,6,5,2]=>[3,4,1,7,2,5,6]=>110000=>000011 [4,3,7,2,1,5,6]=>[3,4,1,2,7,6,5]=>100011=>110001 [4,3,7,2,1,6,5]=>[3,4,1,2,7,5,6]=>100010=>010001 [4,3,7,2,5,1,6]=>[3,4,2,7,6,1,5]=>110001=>100011 [4,3,7,2,5,6,1]=>[3,4,2,7,5,1,6]=>110010=>010011 [4,3,7,2,6,1,5]=>[3,4,2,7,1,6,5]=>110010=>010011 [4,3,7,2,6,5,1]=>[3,4,2,7,1,5,6]=>110000=>000011 [4,3,7,5,1,2,6]=>[3,4,1,5,7,6,2]=>110001=>100011 [4,3,7,5,1,6,2]=>[3,4,1,5,7,2,6]=>110000=>000011 [4,3,7,5,2,1,6]=>[3,4,1,2,5,7,6]=>100001=>100001 [4,3,7,5,2,6,1]=>[3,4,2,5,7,1,6]=>110000=>000011 [4,3,7,5,6,1,2]=>[5,7,3,4,1,6,2]=>111000=>000111 [4,3,7,5,6,2,1]=>[5,7,3,4,1,2,6]=>101000=>000101 [4,3,7,6,1,2,5]=>[3,4,1,6,7,5,2]=>110010=>010011 [4,3,7,6,1,5,2]=>[3,4,1,6,7,2,5]=>110000=>000011 [4,3,7,6,2,1,5]=>[3,4,1,2,6,7,5]=>100010=>010001 [4,3,7,6,2,5,1]=>[3,4,2,6,7,1,5]=>110000=>000011 [4,3,7,6,5,1,2]=>[3,4,1,5,6,7,2]=>110000=>000011 [4,3,7,6,5,2,1]=>[3,4,1,2,5,6,7]=>100000=>000001 [4,5,1,2,3,6,7]=>[7,6,4,1,5,3,2]=>111101=>101111 [4,5,1,2,3,7,6]=>[6,7,4,1,5,3,2]=>111100=>001111 [4,5,1,2,6,3,7]=>[7,4,1,5,3,6,2]=>111100=>001111 [4,5,1,2,6,7,3]=>[6,4,1,5,3,7,2]=>111100=>001111 [4,5,1,2,7,3,6]=>[4,1,5,3,7,6,2]=>111001=>100111 [4,5,1,2,7,6,3]=>[4,1,5,3,6,7,2]=>111000=>000111 [4,5,1,3,2,6,7]=>[7,6,4,1,5,2,3]=>110101=>101011 [4,5,1,3,2,7,6]=>[6,7,4,1,5,2,3]=>110100=>001011 [4,5,1,3,6,2,7]=>[7,4,1,5,3,2,6]=>111100=>001111 [4,5,1,3,6,7,2]=>[6,4,1,5,3,2,7]=>111100=>001111 [4,5,1,3,7,2,6]=>[4,1,5,3,2,7,6]=>111001=>100111 [4,5,1,3,7,6,2]=>[4,1,5,3,2,6,7]=>111000=>000111 [4,5,1,6,2,3,7]=>[7,4,1,5,2,6,3]=>111100=>001111 [4,5,1,6,2,7,3]=>[4,1,5,2,6,3,7]=>111000=>000111 [4,5,1,6,3,2,7]=>[7,4,1,5,2,3,6]=>110100=>001011 [4,5,1,6,3,7,2]=>[4,1,5,3,6,2,7]=>111000=>000111 [4,5,1,6,7,2,3]=>[6,4,1,5,2,7,3]=>111100=>001111 [4,5,1,6,7,3,2]=>[6,4,1,5,2,3,7]=>110100=>001011 [4,5,1,7,2,3,6]=>[4,1,5,2,7,6,3]=>111001=>100111 [4,5,1,7,2,6,3]=>[4,1,5,2,7,3,6]=>111000=>000111 [4,5,1,7,3,2,6]=>[4,1,5,2,3,7,6]=>110001=>100011 [4,5,1,7,3,6,2]=>[4,1,5,3,7,2,6]=>111000=>000111 [4,5,1,7,6,2,3]=>[4,1,5,2,6,7,3]=>111000=>000111 [4,5,1,7,6,3,2]=>[4,1,5,2,3,6,7]=>110000=>000011 [4,5,2,1,3,6,7]=>[7,6,4,1,2,5,3]=>101101=>101101 [4,5,2,1,3,7,6]=>[6,7,4,1,2,5,3]=>101100=>001101 [4,5,2,1,6,3,7]=>[7,4,1,2,5,3,6]=>101100=>001101 [4,5,2,1,6,7,3]=>[6,4,1,2,5,3,7]=>101100=>001101 [4,5,2,1,7,3,6]=>[4,1,2,5,3,7,6]=>101001=>100101 [4,5,2,1,7,6,3]=>[4,1,2,5,3,6,7]=>101000=>000101 [4,5,2,3,1,6,7]=>[7,6,4,2,5,1,3]=>110101=>101011 [4,5,2,3,1,7,6]=>[6,7,4,2,5,1,3]=>110100=>001011 [4,5,2,3,6,1,7]=>[7,4,2,5,3,1,6]=>111100=>001111 [4,5,2,3,6,7,1]=>[6,4,2,5,3,1,7]=>111100=>001111 [4,5,2,3,7,1,6]=>[4,2,5,3,1,7,6]=>111001=>100111 [4,5,2,3,7,6,1]=>[4,2,5,3,1,6,7]=>111000=>000111 [4,5,2,6,1,3,7]=>[7,4,2,5,1,6,3]=>111100=>001111 [4,5,2,6,1,7,3]=>[4,2,5,1,6,3,7]=>111000=>000111 [4,5,2,6,3,1,7]=>[7,4,2,5,1,3,6]=>110100=>001011 [4,5,2,6,3,7,1]=>[4,2,5,3,6,1,7]=>111000=>000111 [4,5,2,6,7,1,3]=>[6,4,2,5,1,7,3]=>111100=>001111 [4,5,2,6,7,3,1]=>[6,4,2,5,1,3,7]=>110100=>001011 [4,5,2,7,1,3,6]=>[4,2,5,1,7,6,3]=>111001=>100111 [4,5,2,7,1,6,3]=>[4,2,5,1,7,3,6]=>111000=>000111 [4,5,2,7,3,1,6]=>[4,2,5,1,3,7,6]=>110001=>100011 [4,5,2,7,3,6,1]=>[4,2,5,3,7,1,6]=>111000=>000111 [4,5,2,7,6,1,3]=>[4,2,5,1,6,7,3]=>111000=>000111 [4,5,2,7,6,3,1]=>[4,2,5,1,3,6,7]=>110000=>000011 [4,5,3,1,2,6,7]=>[7,6,4,1,3,5,2]=>110101=>101011 [4,5,3,1,2,7,6]=>[6,7,4,1,3,5,2]=>110100=>001011 [4,5,3,1,6,2,7]=>[7,4,1,3,5,2,6]=>110100=>001011 [4,5,3,1,6,7,2]=>[6,4,1,3,5,2,7]=>110100=>001011 [4,5,3,1,7,2,6]=>[4,1,3,5,2,7,6]=>110001=>100011 [4,5,3,1,7,6,2]=>[4,1,3,5,2,6,7]=>110000=>000011 [4,5,3,2,1,6,7]=>[7,6,4,1,2,3,5]=>100101=>101001 [4,5,3,2,1,7,6]=>[6,7,4,1,2,3,5]=>100100=>001001 [4,5,3,2,6,1,7]=>[7,4,2,3,5,1,6]=>110100=>001011 [4,5,3,2,6,7,1]=>[6,4,2,3,5,1,7]=>110100=>001011 [4,5,3,2,7,1,6]=>[4,2,3,5,1,7,6]=>110001=>100011 [4,5,3,2,7,6,1]=>[4,2,3,5,1,6,7]=>110000=>000011 [4,5,3,6,1,2,7]=>[7,4,3,5,1,6,2]=>111100=>001111 [4,5,3,6,1,7,2]=>[4,3,5,1,6,2,7]=>111000=>000111 [4,5,3,6,2,1,7]=>[7,4,3,5,1,2,6]=>101100=>001101 [4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>111000=>000111 [4,5,3,6,7,1,2]=>[6,4,3,5,1,7,2]=>111100=>001111 [4,5,3,6,7,2,1]=>[6,4,3,5,1,2,7]=>101100=>001101 [4,5,3,7,1,2,6]=>[4,3,5,1,7,6,2]=>111001=>100111 [4,5,3,7,1,6,2]=>[4,3,5,1,7,2,6]=>111000=>000111 [4,5,3,7,2,1,6]=>[4,3,5,1,2,7,6]=>101001=>100101 [4,5,3,7,2,6,1]=>[4,3,5,2,7,1,6]=>111000=>000111 [4,5,3,7,6,1,2]=>[4,3,5,1,6,7,2]=>111000=>000111 [4,5,3,7,6,2,1]=>[4,3,5,1,2,6,7]=>101000=>000101 [4,5,6,1,2,3,7]=>[7,5,4,1,6,3,2]=>111110=>011111 [4,5,6,1,2,7,3]=>[5,4,1,6,3,7,2]=>111100=>001111 [4,5,6,1,3,2,7]=>[7,5,4,1,6,2,3]=>110110=>011011 [4,5,6,1,3,7,2]=>[5,4,1,6,3,2,7]=>111100=>001111 [4,5,6,1,7,2,3]=>[5,4,1,6,2,7,3]=>111100=>001111 [4,5,6,1,7,3,2]=>[5,4,1,6,2,3,7]=>110100=>001011 [4,5,6,2,1,3,7]=>[7,5,4,1,2,6,3]=>101110=>011101 [4,5,6,2,1,7,3]=>[5,4,1,2,6,3,7]=>101100=>001101 [4,5,6,2,3,1,7]=>[7,5,4,2,6,1,3]=>110110=>011011 [4,5,6,2,3,7,1]=>[5,4,2,6,3,1,7]=>111100=>001111 [4,5,6,2,7,1,3]=>[5,4,2,6,1,7,3]=>111100=>001111 [4,5,6,2,7,3,1]=>[5,4,2,6,1,3,7]=>110100=>001011 [4,5,6,3,1,2,7]=>[7,5,4,1,3,6,2]=>110110=>011011 [4,5,6,3,1,7,2]=>[5,4,1,3,6,2,7]=>110100=>001011 [4,5,6,3,2,1,7]=>[7,5,4,1,2,3,6]=>100110=>011001 [4,5,6,3,2,7,1]=>[5,4,2,3,6,1,7]=>110100=>001011 [4,5,6,3,7,1,2]=>[5,4,3,6,1,7,2]=>111100=>001111 [4,5,6,3,7,2,1]=>[5,4,3,6,1,2,7]=>101100=>001101 [4,5,6,7,1,2,3]=>[6,5,4,1,7,3,2]=>111110=>011111 [4,5,6,7,1,3,2]=>[6,5,4,1,7,2,3]=>110110=>011011 [4,5,6,7,2,1,3]=>[6,5,4,1,2,7,3]=>101110=>011101 [4,5,6,7,2,3,1]=>[6,5,4,2,7,1,3]=>110110=>011011 [4,5,6,7,3,1,2]=>[6,5,4,1,3,7,2]=>110110=>011011 [4,5,6,7,3,2,1]=>[6,5,4,1,2,3,7]=>100110=>011001 [4,5,7,1,2,3,6]=>[5,4,1,7,6,3,2]=>111101=>101111 [4,5,7,1,2,6,3]=>[5,4,1,7,3,6,2]=>111100=>001111 [4,5,7,1,3,2,6]=>[5,4,1,7,6,2,3]=>110101=>101011 [4,5,7,1,3,6,2]=>[5,4,1,7,3,2,6]=>111100=>001111 [4,5,7,1,6,2,3]=>[5,4,1,7,2,6,3]=>111100=>001111 [4,5,7,1,6,3,2]=>[5,4,1,7,2,3,6]=>110100=>001011 [4,5,7,2,1,3,6]=>[5,4,1,2,7,6,3]=>101101=>101101 [4,5,7,2,1,6,3]=>[5,4,1,2,7,3,6]=>101100=>001101 [4,5,7,2,3,1,6]=>[5,4,2,7,6,1,3]=>110101=>101011 [4,5,7,2,3,6,1]=>[5,4,2,7,3,1,6]=>111100=>001111 [4,5,7,2,6,1,3]=>[5,4,2,7,1,6,3]=>111100=>001111 [4,5,7,2,6,3,1]=>[5,4,2,7,1,3,6]=>110100=>001011 [4,5,7,3,1,2,6]=>[5,4,1,3,7,6,2]=>110101=>101011 [4,5,7,3,1,6,2]=>[5,4,1,3,7,2,6]=>110100=>001011 [4,5,7,3,2,1,6]=>[5,4,1,2,3,7,6]=>100101=>101001 [4,5,7,3,2,6,1]=>[5,4,2,3,7,1,6]=>110100=>001011 [4,5,7,3,6,1,2]=>[5,4,3,7,1,6,2]=>111100=>001111 [4,5,7,3,6,2,1]=>[5,4,3,7,1,2,6]=>101100=>001101 [4,5,7,6,1,2,3]=>[5,4,1,6,7,3,2]=>111100=>001111 [4,5,7,6,1,3,2]=>[5,4,1,6,7,2,3]=>110100=>001011 [4,5,7,6,2,1,3]=>[5,4,1,2,6,7,3]=>101100=>001101 [4,5,7,6,2,3,1]=>[5,4,2,6,7,1,3]=>110100=>001011 [4,5,7,6,3,1,2]=>[5,4,1,3,6,7,2]=>110100=>001011 [4,5,7,6,3,2,1]=>[5,4,1,2,3,6,7]=>100100=>001001 [4,6,1,2,3,5,7]=>[7,4,1,6,5,3,2]=>111110=>011111 [4,6,1,2,3,7,5]=>[4,1,6,5,7,3,2]=>111010=>010111 [4,6,1,2,5,3,7]=>[7,4,1,6,3,5,2]=>111100=>001111 [4,6,1,2,5,7,3]=>[4,1,6,5,3,7,2]=>111010=>010111 [4,6,1,2,7,3,5]=>[4,1,6,3,7,5,2]=>111010=>010111 [4,6,1,2,7,5,3]=>[4,1,6,3,5,7,2]=>111000=>000111 [4,6,1,3,2,5,7]=>[7,4,1,6,5,2,3]=>110110=>011011 [4,6,1,3,2,7,5]=>[4,1,6,5,7,2,3]=>110010=>010011 [4,6,1,3,5,2,7]=>[7,4,1,6,3,2,5]=>111100=>001111 [4,6,1,3,5,7,2]=>[4,1,6,5,3,2,7]=>111010=>010111 [4,6,1,3,7,2,5]=>[4,1,6,3,2,7,5]=>111010=>010111 [4,6,1,3,7,5,2]=>[4,1,6,3,2,5,7]=>111000=>000111 [4,6,1,5,2,3,7]=>[7,4,1,6,2,5,3]=>111100=>001111 [4,6,1,5,2,7,3]=>[4,1,6,2,5,3,7]=>111000=>000111 [4,6,1,5,3,2,7]=>[7,4,1,6,2,3,5]=>110100=>001011 [4,6,1,5,3,7,2]=>[4,1,6,3,5,2,7]=>111000=>000111 [4,6,1,5,7,2,3]=>[4,1,6,5,2,7,3]=>111010=>010111 [4,6,1,5,7,3,2]=>[4,1,6,5,2,3,7]=>110010=>010011 [4,6,1,7,2,3,5]=>[4,1,6,2,7,5,3]=>111010=>010111 [4,6,1,7,2,5,3]=>[4,1,6,2,7,3,5]=>111000=>000111 [4,6,1,7,3,2,5]=>[4,1,6,2,3,7,5]=>110010=>010011 [4,6,1,7,3,5,2]=>[4,1,6,3,7,2,5]=>111000=>000111 [4,6,1,7,5,2,3]=>[4,1,6,2,5,7,3]=>111000=>000111 [4,6,1,7,5,3,2]=>[4,1,6,2,3,5,7]=>110000=>000011 [4,6,2,1,3,5,7]=>[7,4,1,2,6,5,3]=>101110=>011101 [4,6,2,1,3,7,5]=>[4,1,2,6,5,7,3]=>101010=>010101 [4,6,2,1,5,3,7]=>[7,4,1,2,6,3,5]=>101100=>001101 [4,6,2,1,5,7,3]=>[4,1,2,6,5,3,7]=>101010=>010101 [4,6,2,1,7,3,5]=>[4,1,2,6,3,7,5]=>101010=>010101 [4,6,2,1,7,5,3]=>[4,1,2,6,3,5,7]=>101000=>000101 [4,6,2,3,1,5,7]=>[7,4,2,6,5,1,3]=>110110=>011011 [4,6,2,3,1,7,5]=>[4,2,6,5,7,1,3]=>110010=>010011 [4,6,2,3,5,1,7]=>[7,4,2,6,3,1,5]=>111100=>001111 [4,6,2,3,5,7,1]=>[4,2,6,5,3,1,7]=>111010=>010111 [4,6,2,3,7,1,5]=>[4,2,6,3,1,7,5]=>111010=>010111 [4,6,2,3,7,5,1]=>[4,2,6,3,1,5,7]=>111000=>000111 [4,6,2,5,1,3,7]=>[7,4,2,6,1,5,3]=>111100=>001111 [4,6,2,5,1,7,3]=>[4,2,6,1,5,3,7]=>111000=>000111 [4,6,2,5,3,1,7]=>[7,4,2,6,1,3,5]=>110100=>001011 [4,6,2,5,3,7,1]=>[4,2,6,3,5,1,7]=>111000=>000111 [4,6,2,5,7,1,3]=>[4,2,6,5,1,7,3]=>111010=>010111 [4,6,2,5,7,3,1]=>[4,2,6,5,1,3,7]=>110010=>010011 [4,6,2,7,1,3,5]=>[4,2,6,1,7,5,3]=>111010=>010111 [4,6,2,7,1,5,3]=>[4,2,6,1,7,3,5]=>111000=>000111 [4,6,2,7,3,1,5]=>[4,2,6,1,3,7,5]=>110010=>010011 [4,6,2,7,3,5,1]=>[4,2,6,3,7,1,5]=>111000=>000111 [4,6,2,7,5,1,3]=>[4,2,6,1,5,7,3]=>111000=>000111 [4,6,2,7,5,3,1]=>[4,2,6,1,3,5,7]=>110000=>000011 [4,6,3,1,2,5,7]=>[7,4,1,3,6,5,2]=>110110=>011011 [4,6,3,1,2,7,5]=>[4,1,3,6,5,7,2]=>110010=>010011 [4,6,3,1,5,2,7]=>[7,4,1,3,6,2,5]=>110100=>001011 [4,6,3,1,5,7,2]=>[4,1,3,6,5,2,7]=>110010=>010011 [4,6,3,1,7,2,5]=>[4,1,3,6,2,7,5]=>110010=>010011 [4,6,3,1,7,5,2]=>[4,1,3,6,2,5,7]=>110000=>000011 [4,6,3,2,1,5,7]=>[7,4,1,2,3,6,5]=>100110=>011001 [4,6,3,2,1,7,5]=>[4,1,2,3,6,5,7]=>100010=>010001 [4,6,3,2,5,1,7]=>[7,4,2,3,6,1,5]=>110100=>001011 [4,6,3,2,5,7,1]=>[4,2,3,6,5,1,7]=>110010=>010011 [4,6,3,2,7,1,5]=>[4,2,3,6,1,7,5]=>110010=>010011 [4,6,3,2,7,5,1]=>[4,2,3,6,1,5,7]=>110000=>000011 [4,6,3,5,1,2,7]=>[7,4,3,6,1,5,2]=>111100=>001111 [4,6,3,5,1,7,2]=>[4,3,6,1,5,2,7]=>111000=>000111 [4,6,3,5,2,1,7]=>[7,4,3,6,1,2,5]=>101100=>001101 [4,6,3,5,2,7,1]=>[4,3,6,2,5,1,7]=>111000=>000111 [4,6,3,5,7,1,2]=>[4,3,6,5,1,7,2]=>111010=>010111 [4,6,3,5,7,2,1]=>[4,3,6,5,1,2,7]=>101010=>010101 [4,6,3,7,1,2,5]=>[4,3,6,1,7,5,2]=>111010=>010111 [4,6,3,7,1,5,2]=>[4,3,6,1,7,2,5]=>111000=>000111 [4,6,3,7,2,1,5]=>[4,3,6,1,2,7,5]=>101010=>010101 [4,6,3,7,2,5,1]=>[4,3,6,2,7,1,5]=>111000=>000111 [4,6,3,7,5,1,2]=>[4,3,6,1,5,7,2]=>111000=>000111 [4,6,3,7,5,2,1]=>[4,3,6,1,2,5,7]=>101000=>000101 [4,6,5,1,2,3,7]=>[7,4,1,5,6,3,2]=>111100=>001111 [4,6,5,1,2,7,3]=>[4,1,5,6,3,7,2]=>111000=>000111 [4,6,5,1,3,2,7]=>[7,4,1,5,6,2,3]=>110100=>001011 [4,6,5,1,3,7,2]=>[4,1,5,6,3,2,7]=>111000=>000111 [4,6,5,1,7,2,3]=>[4,1,5,6,2,7,3]=>111000=>000111 [4,6,5,1,7,3,2]=>[4,1,5,6,2,3,7]=>110000=>000011 [4,6,5,2,1,3,7]=>[7,4,1,2,5,6,3]=>101100=>001101 [4,6,5,2,1,7,3]=>[4,1,2,5,6,3,7]=>101000=>000101 [4,6,5,2,3,1,7]=>[7,4,2,5,6,1,3]=>110100=>001011 [4,6,5,2,3,7,1]=>[4,2,5,6,3,1,7]=>111000=>000111 [4,6,5,2,7,1,3]=>[4,2,5,6,1,7,3]=>111000=>000111 [4,6,5,2,7,3,1]=>[4,2,5,6,1,3,7]=>110000=>000011 [4,6,5,3,1,2,7]=>[7,4,1,3,5,6,2]=>110100=>001011 [4,6,5,3,1,7,2]=>[4,1,3,5,6,2,7]=>110000=>000011 [4,6,5,3,2,1,7]=>[7,4,1,2,3,5,6]=>100100=>001001 [4,6,5,3,2,7,1]=>[4,2,3,5,6,1,7]=>110000=>000011 [4,6,5,3,7,1,2]=>[4,3,5,6,1,7,2]=>111000=>000111 [4,6,5,3,7,2,1]=>[4,3,5,6,1,2,7]=>101000=>000101 [4,6,5,7,1,2,3]=>[5,6,4,1,7,3,2]=>111100=>001111 [4,6,5,7,1,3,2]=>[5,6,4,1,7,2,3]=>110100=>001011 [4,6,5,7,2,1,3]=>[5,6,4,1,2,7,3]=>101100=>001101 [4,6,5,7,2,3,1]=>[5,6,4,2,7,1,3]=>110100=>001011 [4,6,5,7,3,1,2]=>[5,6,4,1,3,7,2]=>110100=>001011 [4,6,5,7,3,2,1]=>[5,6,4,1,2,3,7]=>100100=>001001 [4,6,7,1,2,3,5]=>[6,4,1,7,5,3,2]=>111110=>011111 [4,6,7,1,2,5,3]=>[6,4,1,7,3,5,2]=>111100=>001111 [4,6,7,1,3,2,5]=>[6,4,1,7,5,2,3]=>110110=>011011 [4,6,7,1,3,5,2]=>[6,4,1,7,3,2,5]=>111100=>001111 [4,6,7,1,5,2,3]=>[6,4,1,7,2,5,3]=>111100=>001111 [4,6,7,1,5,3,2]=>[6,4,1,7,2,3,5]=>110100=>001011 [4,6,7,2,1,3,5]=>[6,4,1,2,7,5,3]=>101110=>011101 [4,6,7,2,1,5,3]=>[6,4,1,2,7,3,5]=>101100=>001101 [4,6,7,2,3,1,5]=>[6,4,2,7,5,1,3]=>110110=>011011 [4,6,7,2,3,5,1]=>[6,4,2,7,3,1,5]=>111100=>001111 [4,6,7,2,5,1,3]=>[6,4,2,7,1,5,3]=>111100=>001111 [4,6,7,2,5,3,1]=>[6,4,2,7,1,3,5]=>110100=>001011 [4,6,7,3,1,2,5]=>[6,4,1,3,7,5,2]=>110110=>011011 [4,6,7,3,1,5,2]=>[6,4,1,3,7,2,5]=>110100=>001011 [4,6,7,3,2,1,5]=>[6,4,1,2,3,7,5]=>100110=>011001 [4,6,7,3,2,5,1]=>[6,4,2,3,7,1,5]=>110100=>001011 [4,6,7,3,5,1,2]=>[6,4,3,7,1,5,2]=>111100=>001111 [4,6,7,3,5,2,1]=>[6,4,3,7,1,2,5]=>101100=>001101 [4,6,7,5,1,2,3]=>[6,4,1,5,7,3,2]=>111100=>001111 [4,6,7,5,1,3,2]=>[6,4,1,5,7,2,3]=>110100=>001011 [4,6,7,5,2,1,3]=>[6,4,1,2,5,7,3]=>101100=>001101 [4,6,7,5,2,3,1]=>[6,4,2,5,7,1,3]=>110100=>001011 [4,6,7,5,3,1,2]=>[6,4,1,3,5,7,2]=>110100=>001011 [4,6,7,5,3,2,1]=>[6,4,1,2,3,5,7]=>100100=>001001 [4,7,1,2,3,5,6]=>[4,1,7,6,5,3,2]=>111011=>110111 [4,7,1,2,3,6,5]=>[4,1,7,5,6,3,2]=>111010=>010111 [4,7,1,2,5,3,6]=>[4,1,7,6,3,5,2]=>111001=>100111 [4,7,1,2,5,6,3]=>[4,1,7,5,3,6,2]=>111010=>010111 [4,7,1,2,6,3,5]=>[4,1,7,3,6,5,2]=>111010=>010111 [4,7,1,2,6,5,3]=>[4,1,7,3,5,6,2]=>111000=>000111 [4,7,1,3,2,5,6]=>[4,1,7,6,5,2,3]=>110011=>110011 [4,7,1,3,2,6,5]=>[4,1,7,5,6,2,3]=>110010=>010011 [4,7,1,3,5,2,6]=>[4,1,7,6,3,2,5]=>111001=>100111 [4,7,1,3,5,6,2]=>[4,1,7,5,3,2,6]=>111010=>010111 [4,7,1,3,6,2,5]=>[4,1,7,3,2,6,5]=>111010=>010111 [4,7,1,3,6,5,2]=>[4,1,7,3,2,5,6]=>111000=>000111 [4,7,1,5,2,3,6]=>[4,1,7,6,2,5,3]=>111001=>100111 [4,7,1,5,2,6,3]=>[4,1,7,2,5,3,6]=>111000=>000111 [4,7,1,5,3,2,6]=>[4,1,7,6,2,3,5]=>110001=>100011 [4,7,1,5,3,6,2]=>[4,1,7,3,5,2,6]=>111000=>000111 [4,7,1,5,6,2,3]=>[4,1,7,5,2,6,3]=>111010=>010111 [4,7,1,5,6,3,2]=>[4,1,7,5,2,3,6]=>110010=>010011 [4,7,1,6,2,3,5]=>[4,1,7,2,6,5,3]=>111010=>010111 [4,7,1,6,2,5,3]=>[4,1,7,2,6,3,5]=>111000=>000111 [4,7,1,6,3,2,5]=>[4,1,7,2,3,6,5]=>110010=>010011 [4,7,1,6,3,5,2]=>[4,1,7,3,6,2,5]=>111000=>000111 [4,7,1,6,5,2,3]=>[4,1,7,2,5,6,3]=>111000=>000111 [4,7,1,6,5,3,2]=>[4,1,7,2,3,5,6]=>110000=>000011 [4,7,2,1,3,5,6]=>[4,1,2,7,6,5,3]=>101011=>110101 [4,7,2,1,3,6,5]=>[4,1,2,7,5,6,3]=>101010=>010101 [4,7,2,1,5,3,6]=>[4,1,2,7,6,3,5]=>101001=>100101 [4,7,2,1,5,6,3]=>[4,1,2,7,5,3,6]=>101010=>010101 [4,7,2,1,6,3,5]=>[4,1,2,7,3,6,5]=>101010=>010101 [4,7,2,1,6,5,3]=>[4,1,2,7,3,5,6]=>101000=>000101 [4,7,2,3,1,5,6]=>[4,2,7,6,5,1,3]=>110011=>110011 [4,7,2,3,1,6,5]=>[4,2,7,5,6,1,3]=>110010=>010011 [4,7,2,3,5,1,6]=>[4,2,7,6,3,1,5]=>111001=>100111 [4,7,2,3,5,6,1]=>[4,2,7,5,3,1,6]=>111010=>010111 [4,7,2,3,6,1,5]=>[4,2,7,3,1,6,5]=>111010=>010111 [4,7,2,3,6,5,1]=>[4,2,7,3,1,5,6]=>111000=>000111 [4,7,2,5,1,3,6]=>[4,2,7,6,1,5,3]=>111001=>100111 [4,7,2,5,1,6,3]=>[4,2,7,1,5,3,6]=>111000=>000111 [4,7,2,5,3,1,6]=>[4,2,7,6,1,3,5]=>110001=>100011 [4,7,2,5,3,6,1]=>[4,2,7,3,5,1,6]=>111000=>000111 [4,7,2,5,6,1,3]=>[4,2,7,5,1,6,3]=>111010=>010111 [4,7,2,5,6,3,1]=>[4,2,7,5,1,3,6]=>110010=>010011 [4,7,2,6,1,3,5]=>[4,2,7,1,6,5,3]=>111010=>010111 [4,7,2,6,1,5,3]=>[4,2,7,1,6,3,5]=>111000=>000111 [4,7,2,6,3,1,5]=>[4,2,7,1,3,6,5]=>110010=>010011 [4,7,2,6,3,5,1]=>[4,2,7,3,6,1,5]=>111000=>000111 [4,7,2,6,5,1,3]=>[4,2,7,1,5,6,3]=>111000=>000111 [4,7,2,6,5,3,1]=>[4,2,7,1,3,5,6]=>110000=>000011 [4,7,3,1,2,5,6]=>[4,1,3,7,6,5,2]=>110011=>110011 [4,7,3,1,2,6,5]=>[4,1,3,7,5,6,2]=>110010=>010011 [4,7,3,1,5,2,6]=>[4,1,3,7,6,2,5]=>110001=>100011 [4,7,3,1,5,6,2]=>[4,1,3,7,5,2,6]=>110010=>010011 [4,7,3,1,6,2,5]=>[4,1,3,7,2,6,5]=>110010=>010011 [4,7,3,1,6,5,2]=>[4,1,3,7,2,5,6]=>110000=>000011 [4,7,3,2,1,5,6]=>[4,1,2,3,7,6,5]=>100011=>110001 [4,7,3,2,1,6,5]=>[4,1,2,3,7,5,6]=>100010=>010001 [4,7,3,2,5,1,6]=>[4,2,3,7,6,1,5]=>110001=>100011 [4,7,3,2,5,6,1]=>[4,2,3,7,5,1,6]=>110010=>010011 [4,7,3,2,6,1,5]=>[4,2,3,7,1,6,5]=>110010=>010011 [4,7,3,2,6,5,1]=>[4,2,3,7,1,5,6]=>110000=>000011 [4,7,3,5,1,2,6]=>[4,3,7,6,1,5,2]=>111001=>100111 [4,7,3,5,1,6,2]=>[4,3,7,1,5,2,6]=>111000=>000111 [4,7,3,5,2,1,6]=>[4,3,7,6,1,2,5]=>101001=>100101 [4,7,3,5,2,6,1]=>[4,3,7,2,5,1,6]=>111000=>000111 [4,7,3,5,6,1,2]=>[4,3,7,5,1,6,2]=>111010=>010111 [4,7,3,5,6,2,1]=>[4,3,7,5,1,2,6]=>101010=>010101 [4,7,3,6,1,2,5]=>[4,3,7,1,6,5,2]=>111010=>010111 [4,7,3,6,1,5,2]=>[4,3,7,1,6,2,5]=>111000=>000111 [4,7,3,6,2,1,5]=>[4,3,7,1,2,6,5]=>101010=>010101 [4,7,3,6,2,5,1]=>[4,3,7,2,6,1,5]=>111000=>000111 [4,7,3,6,5,1,2]=>[4,3,7,1,5,6,2]=>111000=>000111 [4,7,3,6,5,2,1]=>[4,3,7,1,2,5,6]=>101000=>000101 [4,7,5,1,2,3,6]=>[4,1,5,7,6,3,2]=>111001=>100111 [4,7,5,1,2,6,3]=>[4,1,5,7,3,6,2]=>111000=>000111 [4,7,5,1,3,2,6]=>[4,1,5,7,6,2,3]=>110001=>100011 [4,7,5,1,3,6,2]=>[4,1,5,7,3,2,6]=>111000=>000111 [4,7,5,1,6,2,3]=>[4,1,5,7,2,6,3]=>111000=>000111 [4,7,5,1,6,3,2]=>[4,1,5,7,2,3,6]=>110000=>000011 [4,7,5,2,1,3,6]=>[4,1,2,5,7,6,3]=>101001=>100101 [4,7,5,2,1,6,3]=>[4,1,2,5,7,3,6]=>101000=>000101 [4,7,5,2,3,1,6]=>[4,2,5,7,6,1,3]=>110001=>100011 [4,7,5,2,3,6,1]=>[4,2,5,7,3,1,6]=>111000=>000111 [4,7,5,2,6,1,3]=>[4,2,5,7,1,6,3]=>111000=>000111 [4,7,5,2,6,3,1]=>[4,2,5,7,1,3,6]=>110000=>000011 [4,7,5,3,1,2,6]=>[4,1,3,5,7,6,2]=>110001=>100011 [4,7,5,3,1,6,2]=>[4,1,3,5,7,2,6]=>110000=>000011 [4,7,5,3,2,1,6]=>[4,1,2,3,5,7,6]=>100001=>100001 [4,7,5,3,2,6,1]=>[4,2,3,5,7,1,6]=>110000=>000011 [4,7,5,3,6,1,2]=>[4,3,5,7,1,6,2]=>111000=>000111 [4,7,5,3,6,2,1]=>[4,3,5,7,1,2,6]=>101000=>000101 [4,7,5,6,1,2,3]=>[5,7,4,1,6,3,2]=>111100=>001111 [4,7,5,6,1,3,2]=>[5,7,4,1,6,2,3]=>110100=>001011 [4,7,5,6,2,1,3]=>[5,7,4,1,2,6,3]=>101100=>001101 [4,7,5,6,2,3,1]=>[5,7,4,2,6,1,3]=>110100=>001011 [4,7,5,6,3,1,2]=>[5,7,4,1,3,6,2]=>110100=>001011 [4,7,5,6,3,2,1]=>[5,7,4,1,2,3,6]=>100100=>001001 [4,7,6,1,2,3,5]=>[4,1,6,7,5,3,2]=>111010=>010111 [4,7,6,1,2,5,3]=>[4,1,6,7,3,5,2]=>111000=>000111 [4,7,6,1,3,2,5]=>[4,1,6,7,5,2,3]=>110010=>010011 [4,7,6,1,3,5,2]=>[4,1,6,7,3,2,5]=>111000=>000111 [4,7,6,1,5,2,3]=>[4,1,6,7,2,5,3]=>111000=>000111 [4,7,6,1,5,3,2]=>[4,1,6,7,2,3,5]=>110000=>000011 [4,7,6,2,1,3,5]=>[4,1,2,6,7,5,3]=>101010=>010101 [4,7,6,2,1,5,3]=>[4,1,2,6,7,3,5]=>101000=>000101 [4,7,6,2,3,1,5]=>[4,2,6,7,5,1,3]=>110010=>010011 [4,7,6,2,3,5,1]=>[4,2,6,7,3,1,5]=>111000=>000111 [4,7,6,2,5,1,3]=>[4,2,6,7,1,5,3]=>111000=>000111 [4,7,6,2,5,3,1]=>[4,2,6,7,1,3,5]=>110000=>000011 [4,7,6,3,1,2,5]=>[4,1,3,6,7,5,2]=>110010=>010011 [4,7,6,3,1,5,2]=>[4,1,3,6,7,2,5]=>110000=>000011 [4,7,6,3,2,1,5]=>[4,1,2,3,6,7,5]=>100010=>010001 [4,7,6,3,2,5,1]=>[4,2,3,6,7,1,5]=>110000=>000011 [4,7,6,3,5,1,2]=>[4,3,6,7,1,5,2]=>111000=>000111 [4,7,6,3,5,2,1]=>[4,3,6,7,1,2,5]=>101000=>000101 [4,7,6,5,1,2,3]=>[4,1,5,6,7,3,2]=>111000=>000111 [4,7,6,5,1,3,2]=>[4,1,5,6,7,2,3]=>110000=>000011 [4,7,6,5,2,1,3]=>[4,1,2,5,6,7,3]=>101000=>000101 [4,7,6,5,2,3,1]=>[4,2,5,6,7,1,3]=>110000=>000011 [4,7,6,5,3,1,2]=>[4,1,3,5,6,7,2]=>110000=>000011 [4,7,6,5,3,2,1]=>[4,1,2,3,5,6,7]=>100000=>000001 [5,1,2,3,4,6,7]=>[7,6,1,5,4,3,2]=>111101=>101111 [5,1,2,3,4,7,6]=>[6,7,1,5,4,3,2]=>111100=>001111 [5,1,2,3,6,4,7]=>[7,1,5,4,6,3,2]=>111100=>001111 [5,1,2,3,6,7,4]=>[6,1,5,4,7,3,2]=>111100=>001111 [5,1,2,3,7,4,6]=>[1,5,4,7,6,3,2]=>011101=>101110 [5,1,2,3,7,6,4]=>[1,5,4,6,7,3,2]=>011100=>001110 [5,1,2,4,3,6,7]=>[7,6,1,5,3,4,2]=>111001=>100111 [5,1,2,4,3,7,6]=>[6,7,1,5,3,4,2]=>111000=>000111 [5,1,2,4,6,3,7]=>[7,1,5,4,3,6,2]=>111100=>001111 [5,1,2,4,6,7,3]=>[6,1,5,4,3,7,2]=>111100=>001111 [5,1,2,4,7,3,6]=>[1,5,4,3,7,6,2]=>011101=>101110 [5,1,2,4,7,6,3]=>[1,5,4,3,6,7,2]=>011100=>001110 [5,1,2,6,3,4,7]=>[7,1,5,3,6,4,2]=>111100=>001111 [5,1,2,6,3,7,4]=>[1,5,3,6,4,7,2]=>011100=>001110 [5,1,2,6,4,3,7]=>[7,1,5,3,4,6,2]=>111000=>000111 [5,1,2,6,4,7,3]=>[1,5,4,6,3,7,2]=>011100=>001110 [5,1,2,6,7,3,4]=>[6,1,5,3,7,4,2]=>111100=>001111 [5,1,2,6,7,4,3]=>[6,1,5,3,4,7,2]=>111000=>000111 [5,1,2,7,3,4,6]=>[1,5,3,7,6,4,2]=>011101=>101110 [5,1,2,7,3,6,4]=>[1,5,3,7,4,6,2]=>011100=>001110 [5,1,2,7,4,3,6]=>[1,5,3,4,7,6,2]=>011001=>100110 [5,1,2,7,4,6,3]=>[1,5,4,7,3,6,2]=>011100=>001110 [5,1,2,7,6,3,4]=>[1,5,3,6,7,4,2]=>011100=>001110 [5,1,2,7,6,4,3]=>[1,5,3,4,6,7,2]=>011000=>000110 [5,1,3,2,4,6,7]=>[7,6,1,5,4,2,3]=>110101=>101011 [5,1,3,2,4,7,6]=>[6,7,1,5,4,2,3]=>110100=>001011 [5,1,3,2,6,4,7]=>[7,1,5,4,6,2,3]=>110100=>001011 [5,1,3,2,6,7,4]=>[6,1,5,4,7,2,3]=>110100=>001011 [5,1,3,2,7,4,6]=>[1,5,4,7,6,2,3]=>010101=>101010 [5,1,3,2,7,6,4]=>[1,5,4,6,7,2,3]=>010100=>001010 [5,1,3,4,2,6,7]=>[7,6,1,5,3,2,4]=>111001=>100111 [5,1,3,4,2,7,6]=>[6,7,1,5,3,2,4]=>111000=>000111 [5,1,3,4,6,2,7]=>[7,1,5,4,3,2,6]=>111100=>001111 [5,1,3,4,6,7,2]=>[6,1,5,4,3,2,7]=>111100=>001111 [5,1,3,4,7,2,6]=>[1,5,4,3,2,7,6]=>011101=>101110 [5,1,3,4,7,6,2]=>[1,5,4,3,2,6,7]=>011100=>001110 [5,1,3,6,2,4,7]=>[7,1,5,3,2,6,4]=>111100=>001111 [5,1,3,6,2,7,4]=>[1,5,3,2,6,4,7]=>011100=>001110 [5,1,3,6,4,2,7]=>[7,1,5,3,2,4,6]=>111000=>000111 [5,1,3,6,4,7,2]=>[1,5,4,6,3,2,7]=>011100=>001110 [5,1,3,6,7,2,4]=>[6,1,5,3,2,7,4]=>111100=>001111 [5,1,3,6,7,4,2]=>[6,1,5,3,2,4,7]=>111000=>000111 [5,1,3,7,2,4,6]=>[1,5,3,2,7,6,4]=>011101=>101110 [5,1,3,7,2,6,4]=>[1,5,3,2,7,4,6]=>011100=>001110 [5,1,3,7,4,2,6]=>[1,5,3,2,4,7,6]=>011001=>100110 [5,1,3,7,4,6,2]=>[1,5,4,7,3,2,6]=>011100=>001110 [5,1,3,7,6,2,4]=>[1,5,3,2,6,7,4]=>011100=>001110 [5,1,3,7,6,4,2]=>[1,5,3,2,4,6,7]=>011000=>000110 [5,1,4,2,3,6,7]=>[7,6,1,5,2,4,3]=>111001=>100111 [5,1,4,2,3,7,6]=>[6,7,1,5,2,4,3]=>111000=>000111 [5,1,4,2,6,3,7]=>[7,1,5,2,4,3,6]=>111000=>000111 [5,1,4,2,6,7,3]=>[6,1,5,2,4,3,7]=>111000=>000111 [5,1,4,2,7,3,6]=>[1,5,2,4,3,7,6]=>011001=>100110 [5,1,4,2,7,6,3]=>[1,5,2,4,3,6,7]=>011000=>000110 [5,1,4,3,2,6,7]=>[7,6,1,5,2,3,4]=>110001=>100011 [5,1,4,3,2,7,6]=>[6,7,1,5,2,3,4]=>110000=>000011 [5,1,4,3,6,2,7]=>[7,1,5,3,4,2,6]=>111000=>000111 [5,1,4,3,6,7,2]=>[6,1,5,3,4,2,7]=>111000=>000111 [5,1,4,3,7,2,6]=>[1,5,3,4,2,7,6]=>011001=>100110 [5,1,4,3,7,6,2]=>[1,5,3,4,2,6,7]=>011000=>000110 [5,1,4,6,2,3,7]=>[7,1,5,4,2,6,3]=>111100=>001111 [5,1,4,6,2,7,3]=>[1,5,4,2,6,3,7]=>011100=>001110 [5,1,4,6,3,2,7]=>[7,1,5,4,2,3,6]=>110100=>001011 [5,1,4,6,3,7,2]=>[1,5,4,3,6,2,7]=>011100=>001110 [5,1,4,6,7,2,3]=>[6,1,5,4,2,7,3]=>111100=>001111 [5,1,4,6,7,3,2]=>[6,1,5,4,2,3,7]=>110100=>001011 [5,1,4,7,2,3,6]=>[1,5,4,2,7,6,3]=>011101=>101110 [5,1,4,7,2,6,3]=>[1,5,4,2,7,3,6]=>011100=>001110 [5,1,4,7,3,2,6]=>[1,5,4,2,3,7,6]=>010101=>101010 [5,1,4,7,3,6,2]=>[1,5,4,3,7,2,6]=>011100=>001110 [5,1,4,7,6,2,3]=>[1,5,4,2,6,7,3]=>011100=>001110 [5,1,4,7,6,3,2]=>[1,5,4,2,3,6,7]=>010100=>001010 [5,1,6,2,3,4,7]=>[7,1,5,2,6,4,3]=>111100=>001111 [5,1,6,2,3,7,4]=>[1,5,2,6,4,7,3]=>011100=>001110 [5,1,6,2,4,3,7]=>[7,1,5,2,6,3,4]=>111000=>000111 [5,1,6,2,4,7,3]=>[1,5,2,6,4,3,7]=>011100=>001110 [5,1,6,2,7,3,4]=>[1,5,2,6,3,7,4]=>011100=>001110 [5,1,6,2,7,4,3]=>[1,5,2,6,3,4,7]=>011000=>000110 [5,1,6,3,2,4,7]=>[7,1,5,2,3,6,4]=>110100=>001011 [5,1,6,3,2,7,4]=>[1,5,2,3,6,4,7]=>010100=>001010 [5,1,6,3,4,2,7]=>[7,1,5,3,6,2,4]=>111000=>000111 [5,1,6,3,4,7,2]=>[1,5,3,6,4,2,7]=>011100=>001110 [5,1,6,3,7,2,4]=>[1,5,3,6,2,7,4]=>011100=>001110 [5,1,6,3,7,4,2]=>[1,5,3,6,2,4,7]=>011000=>000110 [5,1,6,4,2,3,7]=>[7,1,5,2,4,6,3]=>111000=>000111 [5,1,6,4,2,7,3]=>[1,5,2,4,6,3,7]=>011000=>000110 [5,1,6,4,3,2,7]=>[7,1,5,2,3,4,6]=>110000=>000011 [5,1,6,4,3,7,2]=>[1,5,3,4,6,2,7]=>011000=>000110 [5,1,6,4,7,2,3]=>[1,5,4,6,2,7,3]=>011100=>001110 [5,1,6,4,7,3,2]=>[1,5,4,6,2,3,7]=>010100=>001010 [5,1,6,7,2,3,4]=>[6,1,5,2,7,4,3]=>111100=>001111 [5,1,6,7,2,4,3]=>[6,1,5,2,7,3,4]=>111000=>000111 [5,1,6,7,3,2,4]=>[6,1,5,2,3,7,4]=>110100=>001011 [5,1,6,7,3,4,2]=>[6,1,5,3,7,2,4]=>111000=>000111 [5,1,6,7,4,2,3]=>[6,1,5,2,4,7,3]=>111000=>000111 [5,1,6,7,4,3,2]=>[6,1,5,2,3,4,7]=>110000=>000011 [5,1,7,2,3,4,6]=>[1,5,2,7,6,4,3]=>011101=>101110 [5,1,7,2,3,6,4]=>[1,5,2,7,4,6,3]=>011100=>001110 [5,1,7,2,4,3,6]=>[1,5,2,7,6,3,4]=>011001=>100110 [5,1,7,2,4,6,3]=>[1,5,2,7,4,3,6]=>011100=>001110 [5,1,7,2,6,3,4]=>[1,5,2,7,3,6,4]=>011100=>001110 [5,1,7,2,6,4,3]=>[1,5,2,7,3,4,6]=>011000=>000110 [5,1,7,3,2,4,6]=>[1,5,2,3,7,6,4]=>010101=>101010 [5,1,7,3,2,6,4]=>[1,5,2,3,7,4,6]=>010100=>001010 [5,1,7,3,4,2,6]=>[1,5,3,7,6,2,4]=>011001=>100110 [5,1,7,3,4,6,2]=>[1,5,3,7,4,2,6]=>011100=>001110 [5,1,7,3,6,2,4]=>[1,5,3,7,2,6,4]=>011100=>001110 [5,1,7,3,6,4,2]=>[1,5,3,7,2,4,6]=>011000=>000110 [5,1,7,4,2,3,6]=>[1,5,2,4,7,6,3]=>011001=>100110 [5,1,7,4,2,6,3]=>[1,5,2,4,7,3,6]=>011000=>000110 [5,1,7,4,3,2,6]=>[1,5,2,3,4,7,6]=>010001=>100010 [5,1,7,4,3,6,2]=>[1,5,3,4,7,2,6]=>011000=>000110 [5,1,7,4,6,2,3]=>[1,5,4,7,2,6,3]=>011100=>001110 [5,1,7,4,6,3,2]=>[1,5,4,7,2,3,6]=>010100=>001010 [5,1,7,6,2,3,4]=>[1,5,2,6,7,4,3]=>011100=>001110 [5,1,7,6,2,4,3]=>[1,5,2,6,7,3,4]=>011000=>000110 [5,1,7,6,3,2,4]=>[1,5,2,3,6,7,4]=>010100=>001010 [5,1,7,6,3,4,2]=>[1,5,3,6,7,2,4]=>011000=>000110 [5,1,7,6,4,2,3]=>[1,5,2,4,6,7,3]=>011000=>000110 [5,1,7,6,4,3,2]=>[1,5,2,3,4,6,7]=>010000=>000010 [5,2,1,3,4,6,7]=>[7,6,1,2,5,4,3]=>101101=>101101 [5,2,1,3,4,7,6]=>[6,7,1,2,5,4,3]=>101100=>001101 [5,2,1,3,6,4,7]=>[7,1,2,5,4,6,3]=>101100=>001101 [5,2,1,3,6,7,4]=>[6,1,2,5,4,7,3]=>101100=>001101 [5,2,1,3,7,4,6]=>[1,2,5,4,7,6,3]=>001101=>101100 [5,2,1,3,7,6,4]=>[1,2,5,4,6,7,3]=>001100=>001100 [5,2,1,4,3,6,7]=>[7,6,1,2,5,3,4]=>101001=>100101 [5,2,1,4,3,7,6]=>[6,7,1,2,5,3,4]=>101000=>000101 [5,2,1,4,6,3,7]=>[7,1,2,5,4,3,6]=>101100=>001101 [5,2,1,4,6,7,3]=>[6,1,2,5,4,3,7]=>101100=>001101 [5,2,1,4,7,3,6]=>[1,2,5,4,3,7,6]=>001101=>101100 [5,2,1,4,7,6,3]=>[1,2,5,4,3,6,7]=>001100=>001100 [5,2,1,6,3,4,7]=>[7,1,2,5,3,6,4]=>101100=>001101 [5,2,1,6,3,7,4]=>[1,2,5,3,6,4,7]=>001100=>001100 [5,2,1,6,4,3,7]=>[7,1,2,5,3,4,6]=>101000=>000101 [5,2,1,6,4,7,3]=>[1,2,5,4,6,3,7]=>001100=>001100 [5,2,1,6,7,3,4]=>[6,1,2,5,3,7,4]=>101100=>001101 [5,2,1,6,7,4,3]=>[6,1,2,5,3,4,7]=>101000=>000101 [5,2,1,7,3,4,6]=>[1,2,5,3,7,6,4]=>001101=>101100 [5,2,1,7,3,6,4]=>[1,2,5,3,7,4,6]=>001100=>001100 [5,2,1,7,4,3,6]=>[1,2,5,3,4,7,6]=>001001=>100100 [5,2,1,7,4,6,3]=>[1,2,5,4,7,3,6]=>001100=>001100 [5,2,1,7,6,3,4]=>[1,2,5,3,6,7,4]=>001100=>001100 [5,2,1,7,6,4,3]=>[1,2,5,3,4,6,7]=>001000=>000100 [5,2,3,1,4,6,7]=>[7,6,2,5,4,1,3]=>110101=>101011 [5,2,3,1,4,7,6]=>[6,7,2,5,4,1,3]=>110100=>001011 [5,2,3,1,6,4,7]=>[7,2,5,4,6,1,3]=>110100=>001011 [5,2,3,1,6,7,4]=>[6,2,5,4,7,1,3]=>110100=>001011 [5,2,3,1,7,4,6]=>[2,5,4,7,6,1,3]=>100101=>101001 [5,2,3,1,7,6,4]=>[2,5,4,6,7,1,3]=>100100=>001001 [5,2,3,4,1,6,7]=>[7,6,2,5,3,1,4]=>111001=>100111 [5,2,3,4,1,7,6]=>[6,7,2,5,3,1,4]=>111000=>000111 [5,2,3,4,6,1,7]=>[7,2,5,4,3,1,6]=>111100=>001111 [5,2,3,4,6,7,1]=>[6,2,5,4,3,1,7]=>111100=>001111 [5,2,3,4,7,1,6]=>[2,5,4,3,1,7,6]=>101101=>101101 [5,2,3,4,7,6,1]=>[2,5,4,3,1,6,7]=>101100=>001101 [5,2,3,6,1,4,7]=>[7,2,5,3,1,6,4]=>111100=>001111 [5,2,3,6,1,7,4]=>[2,5,3,1,6,4,7]=>101100=>001101 [5,2,3,6,4,1,7]=>[7,2,5,3,1,4,6]=>111000=>000111 [5,2,3,6,4,7,1]=>[2,5,4,6,3,1,7]=>101100=>001101 [5,2,3,6,7,1,4]=>[6,2,5,3,1,7,4]=>111100=>001111 [5,2,3,6,7,4,1]=>[6,2,5,3,1,4,7]=>111000=>000111 [5,2,3,7,1,4,6]=>[2,5,3,1,7,6,4]=>101101=>101101 [5,2,3,7,1,6,4]=>[2,5,3,1,7,4,6]=>101100=>001101 [5,2,3,7,4,1,6]=>[2,5,3,1,4,7,6]=>101001=>100101 [5,2,3,7,4,6,1]=>[2,5,4,7,3,1,6]=>101100=>001101 [5,2,3,7,6,1,4]=>[2,5,3,1,6,7,4]=>101100=>001101 [5,2,3,7,6,4,1]=>[2,5,3,1,4,6,7]=>101000=>000101 [5,2,4,1,3,6,7]=>[7,6,2,5,1,4,3]=>111001=>100111 [5,2,4,1,3,7,6]=>[6,7,2,5,1,4,3]=>111000=>000111 [5,2,4,1,6,3,7]=>[7,2,5,1,4,3,6]=>111000=>000111 [5,2,4,1,6,7,3]=>[6,2,5,1,4,3,7]=>111000=>000111 [5,2,4,1,7,3,6]=>[2,5,1,4,3,7,6]=>101001=>100101 [5,2,4,1,7,6,3]=>[2,5,1,4,3,6,7]=>101000=>000101 [5,2,4,3,1,6,7]=>[7,6,2,5,1,3,4]=>110001=>100011 [5,2,4,3,1,7,6]=>[6,7,2,5,1,3,4]=>110000=>000011 [5,2,4,3,6,1,7]=>[7,2,5,3,4,1,6]=>111000=>000111 [5,2,4,3,6,7,1]=>[6,2,5,3,4,1,7]=>111000=>000111 [5,2,4,3,7,1,6]=>[2,5,3,4,1,7,6]=>101001=>100101 [5,2,4,3,7,6,1]=>[2,5,3,4,1,6,7]=>101000=>000101 [5,2,4,6,1,3,7]=>[7,2,5,4,1,6,3]=>111100=>001111 [5,2,4,6,1,7,3]=>[2,5,4,1,6,3,7]=>101100=>001101 [5,2,4,6,3,1,7]=>[7,2,5,4,1,3,6]=>110100=>001011 [5,2,4,6,3,7,1]=>[2,5,4,3,6,1,7]=>101100=>001101 [5,2,4,6,7,1,3]=>[6,2,5,4,1,7,3]=>111100=>001111 [5,2,4,6,7,3,1]=>[6,2,5,4,1,3,7]=>110100=>001011 [5,2,4,7,1,3,6]=>[2,5,4,1,7,6,3]=>101101=>101101 [5,2,4,7,1,6,3]=>[2,5,4,1,7,3,6]=>101100=>001101 [5,2,4,7,3,1,6]=>[2,5,4,1,3,7,6]=>100101=>101001 [5,2,4,7,3,6,1]=>[2,5,4,3,7,1,6]=>101100=>001101 [5,2,4,7,6,1,3]=>[2,5,4,1,6,7,3]=>101100=>001101 [5,2,4,7,6,3,1]=>[2,5,4,1,3,6,7]=>100100=>001001 [5,2,6,1,3,4,7]=>[7,2,5,1,6,4,3]=>111100=>001111 [5,2,6,1,3,7,4]=>[2,5,1,6,4,7,3]=>101100=>001101 [5,2,6,1,4,3,7]=>[7,2,5,1,6,3,4]=>111000=>000111 [5,2,6,1,4,7,3]=>[2,5,1,6,4,3,7]=>101100=>001101 [5,2,6,1,7,3,4]=>[2,5,1,6,3,7,4]=>101100=>001101 [5,2,6,1,7,4,3]=>[2,5,1,6,3,4,7]=>101000=>000101 [5,2,6,3,1,4,7]=>[7,2,5,1,3,6,4]=>110100=>001011 [5,2,6,3,1,7,4]=>[2,5,1,3,6,4,7]=>100100=>001001 [5,2,6,3,4,1,7]=>[7,2,5,3,6,1,4]=>111000=>000111 [5,2,6,3,4,7,1]=>[2,5,3,6,4,1,7]=>101100=>001101 [5,2,6,3,7,1,4]=>[2,5,3,6,1,7,4]=>101100=>001101 [5,2,6,3,7,4,1]=>[2,5,3,6,1,4,7]=>101000=>000101 [5,2,6,4,1,3,7]=>[7,2,5,1,4,6,3]=>111000=>000111 [5,2,6,4,1,7,3]=>[2,5,1,4,6,3,7]=>101000=>000101 [5,2,6,4,3,1,7]=>[7,2,5,1,3,4,6]=>110000=>000011 [5,2,6,4,3,7,1]=>[2,5,3,4,6,1,7]=>101000=>000101 [5,2,6,4,7,1,3]=>[2,5,4,6,1,7,3]=>101100=>001101 [5,2,6,4,7,3,1]=>[2,5,4,6,1,3,7]=>100100=>001001 [5,2,6,7,1,3,4]=>[6,2,5,1,7,4,3]=>111100=>001111 [5,2,6,7,1,4,3]=>[6,2,5,1,7,3,4]=>111000=>000111 [5,2,6,7,3,1,4]=>[6,2,5,1,3,7,4]=>110100=>001011 [5,2,6,7,3,4,1]=>[6,2,5,3,7,1,4]=>111000=>000111 [5,2,6,7,4,1,3]=>[6,2,5,1,4,7,3]=>111000=>000111 [5,2,6,7,4,3,1]=>[6,2,5,1,3,4,7]=>110000=>000011 [5,2,7,1,3,4,6]=>[2,5,1,7,6,4,3]=>101101=>101101 [5,2,7,1,3,6,4]=>[2,5,1,7,4,6,3]=>101100=>001101 [5,2,7,1,4,3,6]=>[2,5,1,7,6,3,4]=>101001=>100101 [5,2,7,1,4,6,3]=>[2,5,1,7,4,3,6]=>101100=>001101 [5,2,7,1,6,3,4]=>[2,5,1,7,3,6,4]=>101100=>001101 [5,2,7,1,6,4,3]=>[2,5,1,7,3,4,6]=>101000=>000101 [5,2,7,3,1,4,6]=>[2,5,1,3,7,6,4]=>100101=>101001 [5,2,7,3,1,6,4]=>[2,5,1,3,7,4,6]=>100100=>001001 [5,2,7,3,4,1,6]=>[2,5,3,7,6,1,4]=>101001=>100101 [5,2,7,3,4,6,1]=>[2,5,3,7,4,1,6]=>101100=>001101 [5,2,7,3,6,1,4]=>[2,5,3,7,1,6,4]=>101100=>001101 [5,2,7,3,6,4,1]=>[2,5,3,7,1,4,6]=>101000=>000101 [5,2,7,4,1,3,6]=>[2,5,1,4,7,6,3]=>101001=>100101 [5,2,7,4,1,6,3]=>[2,5,1,4,7,3,6]=>101000=>000101 [5,2,7,4,3,1,6]=>[2,5,1,3,4,7,6]=>100001=>100001 [5,2,7,4,3,6,1]=>[2,5,3,4,7,1,6]=>101000=>000101 [5,2,7,4,6,1,3]=>[2,5,4,7,1,6,3]=>101100=>001101 [5,2,7,4,6,3,1]=>[2,5,4,7,1,3,6]=>100100=>001001 [5,2,7,6,1,3,4]=>[2,5,1,6,7,4,3]=>101100=>001101 [5,2,7,6,1,4,3]=>[2,5,1,6,7,3,4]=>101000=>000101 [5,2,7,6,3,1,4]=>[2,5,1,3,6,7,4]=>100100=>001001 [5,2,7,6,3,4,1]=>[2,5,3,6,7,1,4]=>101000=>000101 [5,2,7,6,4,1,3]=>[2,5,1,4,6,7,3]=>101000=>000101 [5,2,7,6,4,3,1]=>[2,5,1,3,4,6,7]=>100000=>000001 [5,3,1,2,4,6,7]=>[7,6,1,3,5,4,2]=>110101=>101011 [5,3,1,2,4,7,6]=>[6,7,1,3,5,4,2]=>110100=>001011 [5,3,1,2,6,4,7]=>[7,1,3,5,4,6,2]=>110100=>001011 [5,3,1,2,6,7,4]=>[6,1,3,5,4,7,2]=>110100=>001011 [5,3,1,2,7,4,6]=>[1,3,5,4,7,6,2]=>010101=>101010 [5,3,1,2,7,6,4]=>[1,3,5,4,6,7,2]=>010100=>001010 [5,3,1,4,2,6,7]=>[7,6,1,3,5,2,4]=>110001=>100011 [5,3,1,4,2,7,6]=>[6,7,1,3,5,2,4]=>110000=>000011 [5,3,1,4,6,2,7]=>[7,1,3,5,4,2,6]=>110100=>001011 [5,3,1,4,6,7,2]=>[6,1,3,5,4,2,7]=>110100=>001011 [5,3,1,4,7,2,6]=>[1,3,5,4,2,7,6]=>010101=>101010 [5,3,1,4,7,6,2]=>[1,3,5,4,2,6,7]=>010100=>001010 [5,3,1,6,2,4,7]=>[7,1,3,5,2,6,4]=>110100=>001011 [5,3,1,6,2,7,4]=>[1,3,5,2,6,4,7]=>010100=>001010 [5,3,1,6,4,2,7]=>[7,1,3,5,2,4,6]=>110000=>000011 [5,3,1,6,4,7,2]=>[1,3,5,4,6,2,7]=>010100=>001010 [5,3,1,6,7,2,4]=>[6,1,3,5,2,7,4]=>110100=>001011 [5,3,1,6,7,4,2]=>[6,1,3,5,2,4,7]=>110000=>000011 [5,3,1,7,2,4,6]=>[1,3,5,2,7,6,4]=>010101=>101010 [5,3,1,7,2,6,4]=>[1,3,5,2,7,4,6]=>010100=>001010 [5,3,1,7,4,2,6]=>[1,3,5,2,4,7,6]=>010001=>100010 [5,3,1,7,4,6,2]=>[1,3,5,4,7,2,6]=>010100=>001010 [5,3,1,7,6,2,4]=>[1,3,5,2,6,7,4]=>010100=>001010 [5,3,1,7,6,4,2]=>[1,3,5,2,4,6,7]=>010000=>000010 [5,3,2,1,4,6,7]=>[7,6,1,2,3,5,4]=>100101=>101001 [5,3,2,1,4,7,6]=>[6,7,1,2,3,5,4]=>100100=>001001 [5,3,2,1,6,4,7]=>[7,1,2,3,5,4,6]=>100100=>001001 [5,3,2,1,6,7,4]=>[6,1,2,3,5,4,7]=>100100=>001001 [5,3,2,1,7,4,6]=>[1,2,3,5,4,7,6]=>000101=>101000 [5,3,2,1,7,6,4]=>[1,2,3,5,4,6,7]=>000100=>001000 [5,3,2,4,1,6,7]=>[7,6,2,3,5,1,4]=>110001=>100011 [5,3,2,4,1,7,6]=>[6,7,2,3,5,1,4]=>110000=>000011 [5,3,2,4,6,1,7]=>[7,2,3,5,4,1,6]=>110100=>001011 [5,3,2,4,6,7,1]=>[6,2,3,5,4,1,7]=>110100=>001011 [5,3,2,4,7,1,6]=>[2,3,5,4,1,7,6]=>100101=>101001 [5,3,2,4,7,6,1]=>[2,3,5,4,1,6,7]=>100100=>001001 [5,3,2,6,1,4,7]=>[7,2,3,5,1,6,4]=>110100=>001011 [5,3,2,6,1,7,4]=>[2,3,5,1,6,4,7]=>100100=>001001 [5,3,2,6,4,1,7]=>[7,2,3,5,1,4,6]=>110000=>000011 [5,3,2,6,4,7,1]=>[2,3,5,4,6,1,7]=>100100=>001001 [5,3,2,6,7,1,4]=>[6,2,3,5,1,7,4]=>110100=>001011 [5,3,2,6,7,4,1]=>[6,2,3,5,1,4,7]=>110000=>000011 [5,3,2,7,1,4,6]=>[2,3,5,1,7,6,4]=>100101=>101001 [5,3,2,7,1,6,4]=>[2,3,5,1,7,4,6]=>100100=>001001 [5,3,2,7,4,1,6]=>[2,3,5,1,4,7,6]=>100001=>100001 [5,3,2,7,4,6,1]=>[2,3,5,4,7,1,6]=>100100=>001001 [5,3,2,7,6,1,4]=>[2,3,5,1,6,7,4]=>100100=>001001 [5,3,2,7,6,4,1]=>[2,3,5,1,4,6,7]=>100000=>000001 [5,3,4,1,2,6,7]=>[7,6,3,5,1,4,2]=>111001=>100111 [5,3,4,1,2,7,6]=>[6,7,3,5,1,4,2]=>111000=>000111 [5,3,4,1,6,2,7]=>[7,3,5,1,4,2,6]=>111000=>000111 [5,3,4,1,6,7,2]=>[6,3,5,1,4,2,7]=>111000=>000111 [5,3,4,1,7,2,6]=>[3,5,1,4,2,7,6]=>110001=>100011 [5,3,4,1,7,6,2]=>[3,5,1,4,2,6,7]=>110000=>000011 [5,3,4,2,1,6,7]=>[7,6,3,5,1,2,4]=>101001=>100101 [5,3,4,2,1,7,6]=>[6,7,3,5,1,2,4]=>101000=>000101 [5,3,4,2,6,1,7]=>[7,3,5,2,4,1,6]=>111000=>000111 [5,3,4,2,6,7,1]=>[6,3,5,2,4,1,7]=>111000=>000111 [5,3,4,2,7,1,6]=>[3,5,2,4,1,7,6]=>110001=>100011 [5,3,4,2,7,6,1]=>[3,5,2,4,1,6,7]=>110000=>000011 [5,3,4,6,1,2,7]=>[7,3,5,4,1,6,2]=>111100=>001111 [5,3,4,6,1,7,2]=>[3,5,4,1,6,2,7]=>110100=>001011 [5,3,4,6,2,1,7]=>[7,3,5,4,1,2,6]=>101100=>001101 [5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]=>110100=>001011 [5,3,4,6,7,1,2]=>[6,3,5,4,1,7,2]=>111100=>001111 [5,3,4,6,7,2,1]=>[6,3,5,4,1,2,7]=>101100=>001101 [5,3,4,7,1,2,6]=>[3,5,4,1,7,6,2]=>110101=>101011 [5,3,4,7,1,6,2]=>[3,5,4,1,7,2,6]=>110100=>001011 [5,3,4,7,2,1,6]=>[3,5,4,1,2,7,6]=>100101=>101001 [5,3,4,7,2,6,1]=>[3,5,4,2,7,1,6]=>110100=>001011 [5,3,4,7,6,1,2]=>[3,5,4,1,6,7,2]=>110100=>001011 [5,3,4,7,6,2,1]=>[3,5,4,1,2,6,7]=>100100=>001001 [5,3,6,1,2,4,7]=>[7,3,5,1,6,4,2]=>111100=>001111 [5,3,6,1,2,7,4]=>[3,5,1,6,4,7,2]=>110100=>001011 [5,3,6,1,4,2,7]=>[7,3,5,1,6,2,4]=>111000=>000111 [5,3,6,1,4,7,2]=>[3,5,1,6,4,2,7]=>110100=>001011 [5,3,6,1,7,2,4]=>[3,5,1,6,2,7,4]=>110100=>001011 [5,3,6,1,7,4,2]=>[3,5,1,6,2,4,7]=>110000=>000011 [5,3,6,2,1,4,7]=>[7,3,5,1,2,6,4]=>101100=>001101 [5,3,6,2,1,7,4]=>[3,5,1,2,6,4,7]=>100100=>001001 [5,3,6,2,4,1,7]=>[7,3,5,2,6,1,4]=>111000=>000111 [5,3,6,2,4,7,1]=>[3,5,2,6,4,1,7]=>110100=>001011 [5,3,6,2,7,1,4]=>[3,5,2,6,1,7,4]=>110100=>001011 [5,3,6,2,7,4,1]=>[3,5,2,6,1,4,7]=>110000=>000011 [5,3,6,4,1,2,7]=>[7,3,5,1,4,6,2]=>111000=>000111 [5,3,6,4,1,7,2]=>[3,5,1,4,6,2,7]=>110000=>000011 [5,3,6,4,2,1,7]=>[7,3,5,1,2,4,6]=>101000=>000101 [5,3,6,4,2,7,1]=>[3,5,2,4,6,1,7]=>110000=>000011 [5,3,6,4,7,1,2]=>[3,5,4,6,1,7,2]=>110100=>001011 [5,3,6,4,7,2,1]=>[3,5,4,6,1,2,7]=>100100=>001001 [5,3,6,7,1,2,4]=>[6,3,5,1,7,4,2]=>111100=>001111 [5,3,6,7,1,4,2]=>[6,3,5,1,7,2,4]=>111000=>000111 [5,3,6,7,2,1,4]=>[6,3,5,1,2,7,4]=>101100=>001101 [5,3,6,7,2,4,1]=>[6,3,5,2,7,1,4]=>111000=>000111 [5,3,6,7,4,1,2]=>[6,3,5,1,4,7,2]=>111000=>000111 [5,3,6,7,4,2,1]=>[6,3,5,1,2,4,7]=>101000=>000101 [5,3,7,1,2,4,6]=>[3,5,1,7,6,4,2]=>110101=>101011 [5,3,7,1,2,6,4]=>[3,5,1,7,4,6,2]=>110100=>001011 [5,3,7,1,4,2,6]=>[3,5,1,7,6,2,4]=>110001=>100011 [5,3,7,1,4,6,2]=>[3,5,1,7,4,2,6]=>110100=>001011 [5,3,7,1,6,2,4]=>[3,5,1,7,2,6,4]=>110100=>001011 [5,3,7,1,6,4,2]=>[3,5,1,7,2,4,6]=>110000=>000011 [5,3,7,2,1,4,6]=>[3,5,1,2,7,6,4]=>100101=>101001 [5,3,7,2,1,6,4]=>[3,5,1,2,7,4,6]=>100100=>001001 [5,3,7,2,4,1,6]=>[3,5,2,7,6,1,4]=>110001=>100011 [5,3,7,2,4,6,1]=>[3,5,2,7,4,1,6]=>110100=>001011 [5,3,7,2,6,1,4]=>[3,5,2,7,1,6,4]=>110100=>001011 [5,3,7,2,6,4,1]=>[3,5,2,7,1,4,6]=>110000=>000011 [5,3,7,4,1,2,6]=>[3,5,1,4,7,6,2]=>110001=>100011 [5,3,7,4,1,6,2]=>[3,5,1,4,7,2,6]=>110000=>000011 [5,3,7,4,2,1,6]=>[3,5,1,2,4,7,6]=>100001=>100001 [5,3,7,4,2,6,1]=>[3,5,2,4,7,1,6]=>110000=>000011 [5,3,7,4,6,1,2]=>[3,5,4,7,1,6,2]=>110100=>001011 [5,3,7,4,6,2,1]=>[3,5,4,7,1,2,6]=>100100=>001001 [5,3,7,6,1,2,4]=>[3,5,1,6,7,4,2]=>110100=>001011 [5,3,7,6,1,4,2]=>[3,5,1,6,7,2,4]=>110000=>000011 [5,3,7,6,2,1,4]=>[3,5,1,2,6,7,4]=>100100=>001001 [5,3,7,6,2,4,1]=>[3,5,2,6,7,1,4]=>110000=>000011 [5,3,7,6,4,1,2]=>[3,5,1,4,6,7,2]=>110000=>000011 [5,3,7,6,4,2,1]=>[3,5,1,2,4,6,7]=>100000=>000001 [5,4,1,2,3,6,7]=>[7,6,1,4,5,3,2]=>111001=>100111 [5,4,1,2,3,7,6]=>[6,7,1,4,5,3,2]=>111000=>000111 [5,4,1,2,6,3,7]=>[7,1,4,5,3,6,2]=>111000=>000111 [5,4,1,2,6,7,3]=>[6,1,4,5,3,7,2]=>111000=>000111 [5,4,1,2,7,3,6]=>[1,4,5,3,7,6,2]=>011001=>100110 [5,4,1,2,7,6,3]=>[1,4,5,3,6,7,2]=>011000=>000110 [5,4,1,3,2,6,7]=>[7,6,1,4,5,2,3]=>110001=>100011 [5,4,1,3,2,7,6]=>[6,7,1,4,5,2,3]=>110000=>000011 [5,4,1,3,6,2,7]=>[7,1,4,5,3,2,6]=>111000=>000111 [5,4,1,3,6,7,2]=>[6,1,4,5,3,2,7]=>111000=>000111 [5,4,1,3,7,2,6]=>[1,4,5,3,2,7,6]=>011001=>100110 [5,4,1,3,7,6,2]=>[1,4,5,3,2,6,7]=>011000=>000110 [5,4,1,6,2,3,7]=>[7,1,4,5,2,6,3]=>111000=>000111 [5,4,1,6,2,7,3]=>[1,4,5,2,6,3,7]=>011000=>000110 [5,4,1,6,3,2,7]=>[7,1,4,5,2,3,6]=>110000=>000011 [5,4,1,6,3,7,2]=>[1,4,5,3,6,2,7]=>011000=>000110 [5,4,1,6,7,2,3]=>[6,1,4,5,2,7,3]=>111000=>000111 [5,4,1,6,7,3,2]=>[6,1,4,5,2,3,7]=>110000=>000011 [5,4,1,7,2,3,6]=>[1,4,5,2,7,6,3]=>011001=>100110 [5,4,1,7,2,6,3]=>[1,4,5,2,7,3,6]=>011000=>000110 [5,4,1,7,3,2,6]=>[1,4,5,2,3,7,6]=>010001=>100010 [5,4,1,7,3,6,2]=>[1,4,5,3,7,2,6]=>011000=>000110 [5,4,1,7,6,2,3]=>[1,4,5,2,6,7,3]=>011000=>000110 [5,4,1,7,6,3,2]=>[1,4,5,2,3,6,7]=>010000=>000010 [5,4,2,1,3,6,7]=>[7,6,1,2,4,5,3]=>101001=>100101 [5,4,2,1,3,7,6]=>[6,7,1,2,4,5,3]=>101000=>000101 [5,4,2,1,6,3,7]=>[7,1,2,4,5,3,6]=>101000=>000101 [5,4,2,1,6,7,3]=>[6,1,2,4,5,3,7]=>101000=>000101 [5,4,2,1,7,3,6]=>[1,2,4,5,3,7,6]=>001001=>100100 [5,4,2,1,7,6,3]=>[1,2,4,5,3,6,7]=>001000=>000100 [5,4,2,3,1,6,7]=>[7,6,2,4,5,1,3]=>110001=>100011 [5,4,2,3,1,7,6]=>[6,7,2,4,5,1,3]=>110000=>000011 [5,4,2,3,6,1,7]=>[7,2,4,5,3,1,6]=>111000=>000111 [5,4,2,3,6,7,1]=>[6,2,4,5,3,1,7]=>111000=>000111 [5,4,2,3,7,1,6]=>[2,4,5,3,1,7,6]=>101001=>100101 [5,4,2,3,7,6,1]=>[2,4,5,3,1,6,7]=>101000=>000101 [5,4,2,6,1,3,7]=>[7,2,4,5,1,6,3]=>111000=>000111 [5,4,2,6,1,7,3]=>[2,4,5,1,6,3,7]=>101000=>000101 [5,4,2,6,3,1,7]=>[7,2,4,5,1,3,6]=>110000=>000011 [5,4,2,6,3,7,1]=>[2,4,5,3,6,1,7]=>101000=>000101 [5,4,2,6,7,1,3]=>[6,2,4,5,1,7,3]=>111000=>000111 [5,4,2,6,7,3,1]=>[6,2,4,5,1,3,7]=>110000=>000011 [5,4,2,7,1,3,6]=>[2,4,5,1,7,6,3]=>101001=>100101 [5,4,2,7,1,6,3]=>[2,4,5,1,7,3,6]=>101000=>000101 [5,4,2,7,3,1,6]=>[2,4,5,1,3,7,6]=>100001=>100001 [5,4,2,7,3,6,1]=>[2,4,5,3,7,1,6]=>101000=>000101 [5,4,2,7,6,1,3]=>[2,4,5,1,6,7,3]=>101000=>000101 [5,4,2,7,6,3,1]=>[2,4,5,1,3,6,7]=>100000=>000001 [5,4,3,1,2,6,7]=>[7,6,1,3,4,5,2]=>110001=>100011 [5,4,3,1,2,7,6]=>[6,7,1,3,4,5,2]=>110000=>000011 [5,4,3,1,6,2,7]=>[7,1,3,4,5,2,6]=>110000=>000011 [5,4,3,1,6,7,2]=>[6,1,3,4,5,2,7]=>110000=>000011 [5,4,3,1,7,2,6]=>[1,3,4,5,2,7,6]=>010001=>100010 [5,4,3,1,7,6,2]=>[1,3,4,5,2,6,7]=>010000=>000010 [5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>100001=>100001 [5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>100000=>000001 [5,4,3,2,6,1,7]=>[7,2,3,4,5,1,6]=>110000=>000011 [5,4,3,2,6,7,1]=>[6,2,3,4,5,1,7]=>110000=>000011 [5,4,3,2,7,1,6]=>[2,3,4,5,1,7,6]=>100001=>100001 [5,4,3,2,7,6,1]=>[2,3,4,5,1,6,7]=>100000=>000001 [5,4,3,6,1,2,7]=>[7,3,4,5,1,6,2]=>111000=>000111 [5,4,3,6,1,7,2]=>[3,4,5,1,6,2,7]=>110000=>000011 [5,4,3,6,2,1,7]=>[7,3,4,5,1,2,6]=>101000=>000101 [5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>110000=>000011 [5,4,3,6,7,1,2]=>[6,3,4,5,1,7,2]=>111000=>000111 [5,4,3,6,7,2,1]=>[6,3,4,5,1,2,7]=>101000=>000101 [5,4,3,7,1,2,6]=>[3,4,5,1,7,6,2]=>110001=>100011 [5,4,3,7,1,6,2]=>[3,4,5,1,7,2,6]=>110000=>000011 [5,4,3,7,2,1,6]=>[3,4,5,1,2,7,6]=>100001=>100001 [5,4,3,7,2,6,1]=>[3,4,5,2,7,1,6]=>110000=>000011 [5,4,3,7,6,1,2]=>[3,4,5,1,6,7,2]=>110000=>000011 [5,4,3,7,6,2,1]=>[3,4,5,1,2,6,7]=>100000=>000001 [5,4,6,1,2,3,7]=>[7,4,5,1,6,3,2]=>111100=>001111 [5,4,6,1,2,7,3]=>[4,5,1,6,3,7,2]=>111000=>000111 [5,4,6,1,3,2,7]=>[7,4,5,1,6,2,3]=>110100=>001011 [5,4,6,1,3,7,2]=>[4,5,1,6,3,2,7]=>111000=>000111 [5,4,6,1,7,2,3]=>[4,5,1,6,2,7,3]=>111000=>000111 [5,4,6,1,7,3,2]=>[4,5,1,6,2,3,7]=>110000=>000011 [5,4,6,2,1,3,7]=>[7,4,5,1,2,6,3]=>101100=>001101 [5,4,6,2,1,7,3]=>[4,5,1,2,6,3,7]=>101000=>000101 [5,4,6,2,3,1,7]=>[7,4,5,2,6,1,3]=>110100=>001011 [5,4,6,2,3,7,1]=>[4,5,2,6,3,1,7]=>111000=>000111 [5,4,6,2,7,1,3]=>[4,5,2,6,1,7,3]=>111000=>000111 [5,4,6,2,7,3,1]=>[4,5,2,6,1,3,7]=>110000=>000011 [5,4,6,3,1,2,7]=>[7,4,5,1,3,6,2]=>110100=>001011 [5,4,6,3,1,7,2]=>[4,5,1,3,6,2,7]=>110000=>000011 [5,4,6,3,2,1,7]=>[7,4,5,1,2,3,6]=>100100=>001001 [5,4,6,3,2,7,1]=>[4,5,2,3,6,1,7]=>110000=>000011 [5,4,6,3,7,1,2]=>[4,5,3,6,1,7,2]=>111000=>000111 [5,4,6,3,7,2,1]=>[4,5,3,6,1,2,7]=>101000=>000101 [5,4,6,7,1,2,3]=>[6,4,5,1,7,3,2]=>111100=>001111 [5,4,6,7,1,3,2]=>[6,4,5,1,7,2,3]=>110100=>001011 [5,4,6,7,2,1,3]=>[6,4,5,1,2,7,3]=>101100=>001101 [5,4,6,7,2,3,1]=>[6,4,5,2,7,1,3]=>110100=>001011 [5,4,6,7,3,1,2]=>[6,4,5,1,3,7,2]=>110100=>001011 [5,4,6,7,3,2,1]=>[6,4,5,1,2,3,7]=>100100=>001001 [5,4,7,1,2,3,6]=>[4,5,1,7,6,3,2]=>111001=>100111 [5,4,7,1,2,6,3]=>[4,5,1,7,3,6,2]=>111000=>000111 [5,4,7,1,3,2,6]=>[4,5,1,7,6,2,3]=>110001=>100011 [5,4,7,1,3,6,2]=>[4,5,1,7,3,2,6]=>111000=>000111 [5,4,7,1,6,2,3]=>[4,5,1,7,2,6,3]=>111000=>000111 [5,4,7,1,6,3,2]=>[4,5,1,7,2,3,6]=>110000=>000011 [5,4,7,2,1,3,6]=>[4,5,1,2,7,6,3]=>101001=>100101 [5,4,7,2,1,6,3]=>[4,5,1,2,7,3,6]=>101000=>000101 [5,4,7,2,3,1,6]=>[4,5,2,7,6,1,3]=>110001=>100011 [5,4,7,2,3,6,1]=>[4,5,2,7,3,1,6]=>111000=>000111 [5,4,7,2,6,1,3]=>[4,5,2,7,1,6,3]=>111000=>000111 [5,4,7,2,6,3,1]=>[4,5,2,7,1,3,6]=>110000=>000011 [5,4,7,3,1,2,6]=>[4,5,1,3,7,6,2]=>110001=>100011 [5,4,7,3,1,6,2]=>[4,5,1,3,7,2,6]=>110000=>000011 [5,4,7,3,2,1,6]=>[4,5,1,2,3,7,6]=>100001=>100001 [5,4,7,3,2,6,1]=>[4,5,2,3,7,1,6]=>110000=>000011 [5,4,7,3,6,1,2]=>[4,5,3,7,1,6,2]=>111000=>000111 [5,4,7,3,6,2,1]=>[4,5,3,7,1,2,6]=>101000=>000101 [5,4,7,6,1,2,3]=>[4,5,1,6,7,3,2]=>111000=>000111 [5,4,7,6,1,3,2]=>[4,5,1,6,7,2,3]=>110000=>000011 [5,4,7,6,2,1,3]=>[4,5,1,2,6,7,3]=>101000=>000101 [5,4,7,6,2,3,1]=>[4,5,2,6,7,1,3]=>110000=>000011 [5,4,7,6,3,1,2]=>[4,5,1,3,6,7,2]=>110000=>000011 [5,4,7,6,3,2,1]=>[4,5,1,2,3,6,7]=>100000=>000001 [5,6,1,2,3,4,7]=>[7,5,1,6,4,3,2]=>111110=>011111 [5,6,1,2,3,7,4]=>[5,1,6,4,7,3,2]=>111100=>001111 [5,6,1,2,4,3,7]=>[7,5,1,6,3,4,2]=>111010=>010111 [5,6,1,2,4,7,3]=>[5,1,6,4,3,7,2]=>111100=>001111 [5,6,1,2,7,3,4]=>[5,1,6,3,7,4,2]=>111100=>001111 [5,6,1,2,7,4,3]=>[5,1,6,3,4,7,2]=>111000=>000111 [5,6,1,3,2,4,7]=>[7,5,1,6,4,2,3]=>110110=>011011 [5,6,1,3,2,7,4]=>[5,1,6,4,7,2,3]=>110100=>001011 [5,6,1,3,4,2,7]=>[7,5,1,6,3,2,4]=>111010=>010111 [5,6,1,3,4,7,2]=>[5,1,6,4,3,2,7]=>111100=>001111 [5,6,1,3,7,2,4]=>[5,1,6,3,2,7,4]=>111100=>001111 [5,6,1,3,7,4,2]=>[5,1,6,3,2,4,7]=>111000=>000111 [5,6,1,4,2,3,7]=>[7,5,1,6,2,4,3]=>111010=>010111 [5,6,1,4,2,7,3]=>[5,1,6,2,4,3,7]=>111000=>000111 [5,6,1,4,3,2,7]=>[7,5,1,6,2,3,4]=>110010=>010011 [5,6,1,4,3,7,2]=>[5,1,6,3,4,2,7]=>111000=>000111 [5,6,1,4,7,2,3]=>[5,1,6,4,2,7,3]=>111100=>001111 [5,6,1,4,7,3,2]=>[5,1,6,4,2,3,7]=>110100=>001011 [5,6,1,7,2,3,4]=>[5,1,6,2,7,4,3]=>111100=>001111 [5,6,1,7,2,4,3]=>[5,1,6,2,7,3,4]=>111000=>000111 [5,6,1,7,3,2,4]=>[5,1,6,2,3,7,4]=>110100=>001011 [5,6,1,7,3,4,2]=>[5,1,6,3,7,2,4]=>111000=>000111 [5,6,1,7,4,2,3]=>[5,1,6,2,4,7,3]=>111000=>000111 [5,6,1,7,4,3,2]=>[5,1,6,2,3,4,7]=>110000=>000011 [5,6,2,1,3,4,7]=>[7,5,1,2,6,4,3]=>101110=>011101 [5,6,2,1,3,7,4]=>[5,1,2,6,4,7,3]=>101100=>001101 [5,6,2,1,4,3,7]=>[7,5,1,2,6,3,4]=>101010=>010101 [5,6,2,1,4,7,3]=>[5,1,2,6,4,3,7]=>101100=>001101 [5,6,2,1,7,3,4]=>[5,1,2,6,3,7,4]=>101100=>001101 [5,6,2,1,7,4,3]=>[5,1,2,6,3,4,7]=>101000=>000101 [5,6,2,3,1,4,7]=>[7,5,2,6,4,1,3]=>110110=>011011 [5,6,2,3,1,7,4]=>[5,2,6,4,7,1,3]=>110100=>001011 [5,6,2,3,4,1,7]=>[7,5,2,6,3,1,4]=>111010=>010111 [5,6,2,3,4,7,1]=>[5,2,6,4,3,1,7]=>111100=>001111 [5,6,2,3,7,1,4]=>[5,2,6,3,1,7,4]=>111100=>001111 [5,6,2,3,7,4,1]=>[5,2,6,3,1,4,7]=>111000=>000111 [5,6,2,4,1,3,7]=>[7,5,2,6,1,4,3]=>111010=>010111 [5,6,2,4,1,7,3]=>[5,2,6,1,4,3,7]=>111000=>000111 [5,6,2,4,3,1,7]=>[7,5,2,6,1,3,4]=>110010=>010011 [5,6,2,4,3,7,1]=>[5,2,6,3,4,1,7]=>111000=>000111 [5,6,2,4,7,1,3]=>[5,2,6,4,1,7,3]=>111100=>001111 [5,6,2,4,7,3,1]=>[5,2,6,4,1,3,7]=>110100=>001011 [5,6,2,7,1,3,4]=>[5,2,6,1,7,4,3]=>111100=>001111 [5,6,2,7,1,4,3]=>[5,2,6,1,7,3,4]=>111000=>000111 [5,6,2,7,3,1,4]=>[5,2,6,1,3,7,4]=>110100=>001011 [5,6,2,7,3,4,1]=>[5,2,6,3,7,1,4]=>111000=>000111 [5,6,2,7,4,1,3]=>[5,2,6,1,4,7,3]=>111000=>000111 [5,6,2,7,4,3,1]=>[5,2,6,1,3,4,7]=>110000=>000011 [5,6,3,1,2,4,7]=>[7,5,1,3,6,4,2]=>110110=>011011 [5,6,3,1,2,7,4]=>[5,1,3,6,4,7,2]=>110100=>001011 [5,6,3,1,4,2,7]=>[7,5,1,3,6,2,4]=>110010=>010011 [5,6,3,1,4,7,2]=>[5,1,3,6,4,2,7]=>110100=>001011 [5,6,3,1,7,2,4]=>[5,1,3,6,2,7,4]=>110100=>001011 [5,6,3,1,7,4,2]=>[5,1,3,6,2,4,7]=>110000=>000011 [5,6,3,2,1,4,7]=>[7,5,1,2,3,6,4]=>100110=>011001 [5,6,3,2,1,7,4]=>[5,1,2,3,6,4,7]=>100100=>001001 [5,6,3,2,4,1,7]=>[7,5,2,3,6,1,4]=>110010=>010011 [5,6,3,2,4,7,1]=>[5,2,3,6,4,1,7]=>110100=>001011 [5,6,3,2,7,1,4]=>[5,2,3,6,1,7,4]=>110100=>001011 [5,6,3,2,7,4,1]=>[5,2,3,6,1,4,7]=>110000=>000011 [5,6,3,4,1,2,7]=>[7,5,3,6,1,4,2]=>111010=>010111 [5,6,3,4,1,7,2]=>[5,3,6,1,4,2,7]=>111000=>000111 [5,6,3,4,2,1,7]=>[7,5,3,6,1,2,4]=>101010=>010101 [5,6,3,4,2,7,1]=>[5,3,6,2,4,1,7]=>111000=>000111 [5,6,3,4,7,1,2]=>[5,3,6,4,1,7,2]=>111100=>001111 [5,6,3,4,7,2,1]=>[5,3,6,4,1,2,7]=>101100=>001101 [5,6,3,7,1,2,4]=>[5,3,6,1,7,4,2]=>111100=>001111 [5,6,3,7,1,4,2]=>[5,3,6,1,7,2,4]=>111000=>000111 [5,6,3,7,2,1,4]=>[5,3,6,1,2,7,4]=>101100=>001101 [5,6,3,7,2,4,1]=>[5,3,6,2,7,1,4]=>111000=>000111 [5,6,3,7,4,1,2]=>[5,3,6,1,4,7,2]=>111000=>000111 [5,6,3,7,4,2,1]=>[5,3,6,1,2,4,7]=>101000=>000101 [5,6,4,1,2,3,7]=>[7,5,1,4,6,3,2]=>111010=>010111 [5,6,4,1,2,7,3]=>[5,1,4,6,3,7,2]=>111000=>000111 [5,6,4,1,3,2,7]=>[7,5,1,4,6,2,3]=>110010=>010011 [5,6,4,1,3,7,2]=>[5,1,4,6,3,2,7]=>111000=>000111 [5,6,4,1,7,2,3]=>[5,1,4,6,2,7,3]=>111000=>000111 [5,6,4,1,7,3,2]=>[5,1,4,6,2,3,7]=>110000=>000011 [5,6,4,2,1,3,7]=>[7,5,1,2,4,6,3]=>101010=>010101 [5,6,4,2,1,7,3]=>[5,1,2,4,6,3,7]=>101000=>000101 [5,6,4,2,3,1,7]=>[7,5,2,4,6,1,3]=>110010=>010011 [5,6,4,2,3,7,1]=>[5,2,4,6,3,1,7]=>111000=>000111 [5,6,4,2,7,1,3]=>[5,2,4,6,1,7,3]=>111000=>000111 [5,6,4,2,7,3,1]=>[5,2,4,6,1,3,7]=>110000=>000011 [5,6,4,3,1,2,7]=>[7,5,1,3,4,6,2]=>110010=>010011 [5,6,4,3,1,7,2]=>[5,1,3,4,6,2,7]=>110000=>000011 [5,6,4,3,2,1,7]=>[7,5,1,2,3,4,6]=>100010=>010001 [5,6,4,3,2,7,1]=>[5,2,3,4,6,1,7]=>110000=>000011 [5,6,4,3,7,1,2]=>[5,3,4,6,1,7,2]=>111000=>000111 [5,6,4,3,7,2,1]=>[5,3,4,6,1,2,7]=>101000=>000101 [5,6,4,7,1,2,3]=>[5,4,6,1,7,3,2]=>111100=>001111 [5,6,4,7,1,3,2]=>[5,4,6,1,7,2,3]=>110100=>001011 [5,6,4,7,2,1,3]=>[5,4,6,1,2,7,3]=>101100=>001101 [5,6,4,7,2,3,1]=>[5,4,6,2,7,1,3]=>110100=>001011 [5,6,4,7,3,1,2]=>[5,4,6,1,3,7,2]=>110100=>001011 [5,6,4,7,3,2,1]=>[5,4,6,1,2,3,7]=>100100=>001001 [5,6,7,1,2,3,4]=>[6,5,1,7,4,3,2]=>111110=>011111 [5,6,7,1,2,4,3]=>[6,5,1,7,3,4,2]=>111010=>010111 [5,6,7,1,3,2,4]=>[6,5,1,7,4,2,3]=>110110=>011011 [5,6,7,1,3,4,2]=>[6,5,1,7,3,2,4]=>111010=>010111 [5,6,7,1,4,2,3]=>[6,5,1,7,2,4,3]=>111010=>010111 [5,6,7,1,4,3,2]=>[6,5,1,7,2,3,4]=>110010=>010011 [5,6,7,2,1,3,4]=>[6,5,1,2,7,4,3]=>101110=>011101 [5,6,7,2,1,4,3]=>[6,5,1,2,7,3,4]=>101010=>010101 [5,6,7,2,3,1,4]=>[6,5,2,7,4,1,3]=>110110=>011011 [5,6,7,2,3,4,1]=>[6,5,2,7,3,1,4]=>111010=>010111 [5,6,7,2,4,1,3]=>[6,5,2,7,1,4,3]=>111010=>010111 [5,6,7,2,4,3,1]=>[6,5,2,7,1,3,4]=>110010=>010011 [5,6,7,3,1,2,4]=>[6,5,1,3,7,4,2]=>110110=>011011 [5,6,7,3,1,4,2]=>[6,5,1,3,7,2,4]=>110010=>010011 [5,6,7,3,2,1,4]=>[6,5,1,2,3,7,4]=>100110=>011001 [5,6,7,3,2,4,1]=>[6,5,2,3,7,1,4]=>110010=>010011 [5,6,7,3,4,1,2]=>[6,5,3,7,1,4,2]=>111010=>010111 [5,6,7,3,4,2,1]=>[6,5,3,7,1,2,4]=>101010=>010101 [5,6,7,4,1,2,3]=>[6,5,1,4,7,3,2]=>111010=>010111 [5,6,7,4,1,3,2]=>[6,5,1,4,7,2,3]=>110010=>010011 [5,6,7,4,2,1,3]=>[6,5,1,2,4,7,3]=>101010=>010101 [5,6,7,4,2,3,1]=>[6,5,2,4,7,1,3]=>110010=>010011 [5,6,7,4,3,1,2]=>[6,5,1,3,4,7,2]=>110010=>010011 [5,6,7,4,3,2,1]=>[6,5,1,2,3,4,7]=>100010=>010001 [5,7,1,2,3,4,6]=>[5,1,7,6,4,3,2]=>111101=>101111 [5,7,1,2,3,6,4]=>[5,1,7,4,6,3,2]=>111100=>001111 [5,7,1,2,4,3,6]=>[5,1,7,6,3,4,2]=>111001=>100111 [5,7,1,2,4,6,3]=>[5,1,7,4,3,6,2]=>111100=>001111 [5,7,1,2,6,3,4]=>[5,1,7,3,6,4,2]=>111100=>001111 [5,7,1,2,6,4,3]=>[5,1,7,3,4,6,2]=>111000=>000111 [5,7,1,3,2,4,6]=>[5,1,7,6,4,2,3]=>110101=>101011 [5,7,1,3,2,6,4]=>[5,1,7,4,6,2,3]=>110100=>001011 [5,7,1,3,4,2,6]=>[5,1,7,6,3,2,4]=>111001=>100111 [5,7,1,3,4,6,2]=>[5,1,7,4,3,2,6]=>111100=>001111 [5,7,1,3,6,2,4]=>[5,1,7,3,2,6,4]=>111100=>001111 [5,7,1,3,6,4,2]=>[5,1,7,3,2,4,6]=>111000=>000111 [5,7,1,4,2,3,6]=>[5,1,7,6,2,4,3]=>111001=>100111 [5,7,1,4,2,6,3]=>[5,1,7,2,4,3,6]=>111000=>000111 [5,7,1,4,3,2,6]=>[5,1,7,6,2,3,4]=>110001=>100011 [5,7,1,4,3,6,2]=>[5,1,7,3,4,2,6]=>111000=>000111 [5,7,1,4,6,2,3]=>[5,1,7,4,2,6,3]=>111100=>001111 [5,7,1,4,6,3,2]=>[5,1,7,4,2,3,6]=>110100=>001011 [5,7,1,6,2,3,4]=>[5,1,7,2,6,4,3]=>111100=>001111 [5,7,1,6,2,4,3]=>[5,1,7,2,6,3,4]=>111000=>000111 [5,7,1,6,3,2,4]=>[5,1,7,2,3,6,4]=>110100=>001011 [5,7,1,6,3,4,2]=>[5,1,7,3,6,2,4]=>111000=>000111 [5,7,1,6,4,2,3]=>[5,1,7,2,4,6,3]=>111000=>000111 [5,7,1,6,4,3,2]=>[5,1,7,2,3,4,6]=>110000=>000011 [5,7,2,1,3,4,6]=>[5,1,2,7,6,4,3]=>101101=>101101 [5,7,2,1,3,6,4]=>[5,1,2,7,4,6,3]=>101100=>001101 [5,7,2,1,4,3,6]=>[5,1,2,7,6,3,4]=>101001=>100101 [5,7,2,1,4,6,3]=>[5,1,2,7,4,3,6]=>101100=>001101 [5,7,2,1,6,3,4]=>[5,1,2,7,3,6,4]=>101100=>001101 [5,7,2,1,6,4,3]=>[5,1,2,7,3,4,6]=>101000=>000101 [5,7,2,3,1,4,6]=>[5,2,7,6,4,1,3]=>110101=>101011 [5,7,2,3,1,6,4]=>[5,2,7,4,6,1,3]=>110100=>001011 [5,7,2,3,4,1,6]=>[5,2,7,6,3,1,4]=>111001=>100111 [5,7,2,3,4,6,1]=>[5,2,7,4,3,1,6]=>111100=>001111 [5,7,2,3,6,1,4]=>[5,2,7,3,1,6,4]=>111100=>001111 [5,7,2,3,6,4,1]=>[5,2,7,3,1,4,6]=>111000=>000111 [5,7,2,4,1,3,6]=>[5,2,7,6,1,4,3]=>111001=>100111 [5,7,2,4,1,6,3]=>[5,2,7,1,4,3,6]=>111000=>000111 [5,7,2,4,3,1,6]=>[5,2,7,6,1,3,4]=>110001=>100011 [5,7,2,4,3,6,1]=>[5,2,7,3,4,1,6]=>111000=>000111 [5,7,2,4,6,1,3]=>[5,2,7,4,1,6,3]=>111100=>001111 [5,7,2,4,6,3,1]=>[5,2,7,4,1,3,6]=>110100=>001011 [5,7,2,6,1,3,4]=>[5,2,7,1,6,4,3]=>111100=>001111 [5,7,2,6,1,4,3]=>[5,2,7,1,6,3,4]=>111000=>000111 [5,7,2,6,3,1,4]=>[5,2,7,1,3,6,4]=>110100=>001011 [5,7,2,6,3,4,1]=>[5,2,7,3,6,1,4]=>111000=>000111 [5,7,2,6,4,1,3]=>[5,2,7,1,4,6,3]=>111000=>000111 [5,7,2,6,4,3,1]=>[5,2,7,1,3,4,6]=>110000=>000011 [5,7,3,1,2,4,6]=>[5,1,3,7,6,4,2]=>110101=>101011 [5,7,3,1,2,6,4]=>[5,1,3,7,4,6,2]=>110100=>001011 [5,7,3,1,4,2,6]=>[5,1,3,7,6,2,4]=>110001=>100011 [5,7,3,1,4,6,2]=>[5,1,3,7,4,2,6]=>110100=>001011 [5,7,3,1,6,2,4]=>[5,1,3,7,2,6,4]=>110100=>001011 [5,7,3,1,6,4,2]=>[5,1,3,7,2,4,6]=>110000=>000011 [5,7,3,2,1,4,6]=>[5,1,2,3,7,6,4]=>100101=>101001 [5,7,3,2,1,6,4]=>[5,1,2,3,7,4,6]=>100100=>001001 [5,7,3,2,4,1,6]=>[5,2,3,7,6,1,4]=>110001=>100011 [5,7,3,2,4,6,1]=>[5,2,3,7,4,1,6]=>110100=>001011 [5,7,3,2,6,1,4]=>[5,2,3,7,1,6,4]=>110100=>001011 [5,7,3,2,6,4,1]=>[5,2,3,7,1,4,6]=>110000=>000011 [5,7,3,4,1,2,6]=>[5,3,7,6,1,4,2]=>111001=>100111 [5,7,3,4,1,6,2]=>[5,3,7,1,4,2,6]=>111000=>000111 [5,7,3,4,2,1,6]=>[5,3,7,6,1,2,4]=>101001=>100101 [5,7,3,4,2,6,1]=>[5,3,7,2,4,1,6]=>111000=>000111 [5,7,3,4,6,1,2]=>[5,3,7,4,1,6,2]=>111100=>001111 [5,7,3,4,6,2,1]=>[5,3,7,4,1,2,6]=>101100=>001101 [5,7,3,6,1,2,4]=>[5,3,7,1,6,4,2]=>111100=>001111 [5,7,3,6,1,4,2]=>[5,3,7,1,6,2,4]=>111000=>000111 [5,7,3,6,2,1,4]=>[5,3,7,1,2,6,4]=>101100=>001101 [5,7,3,6,2,4,1]=>[5,3,7,2,6,1,4]=>111000=>000111 [5,7,3,6,4,1,2]=>[5,3,7,1,4,6,2]=>111000=>000111 [5,7,3,6,4,2,1]=>[5,3,7,1,2,4,6]=>101000=>000101 [5,7,4,1,2,3,6]=>[5,1,4,7,6,3,2]=>111001=>100111 [5,7,4,1,2,6,3]=>[5,1,4,7,3,6,2]=>111000=>000111 [5,7,4,1,3,2,6]=>[5,1,4,7,6,2,3]=>110001=>100011 [5,7,4,1,3,6,2]=>[5,1,4,7,3,2,6]=>111000=>000111 [5,7,4,1,6,2,3]=>[5,1,4,7,2,6,3]=>111000=>000111 [5,7,4,1,6,3,2]=>[5,1,4,7,2,3,6]=>110000=>000011 [5,7,4,2,1,3,6]=>[5,1,2,4,7,6,3]=>101001=>100101 [5,7,4,2,1,6,3]=>[5,1,2,4,7,3,6]=>101000=>000101 [5,7,4,2,3,1,6]=>[5,2,4,7,6,1,3]=>110001=>100011 [5,7,4,2,3,6,1]=>[5,2,4,7,3,1,6]=>111000=>000111 [5,7,4,2,6,1,3]=>[5,2,4,7,1,6,3]=>111000=>000111 [5,7,4,2,6,3,1]=>[5,2,4,7,1,3,6]=>110000=>000011 [5,7,4,3,1,2,6]=>[5,1,3,4,7,6,2]=>110001=>100011 [5,7,4,3,1,6,2]=>[5,1,3,4,7,2,6]=>110000=>000011 [5,7,4,3,2,1,6]=>[5,1,2,3,4,7,6]=>100001=>100001 [5,7,4,3,2,6,1]=>[5,2,3,4,7,1,6]=>110000=>000011 [5,7,4,3,6,1,2]=>[5,3,4,7,1,6,2]=>111000=>000111 [5,7,4,3,6,2,1]=>[5,3,4,7,1,2,6]=>101000=>000101 [5,7,4,6,1,2,3]=>[5,4,7,1,6,3,2]=>111100=>001111 [5,7,4,6,1,3,2]=>[5,4,7,1,6,2,3]=>110100=>001011 [5,7,4,6,2,1,3]=>[5,4,7,1,2,6,3]=>101100=>001101 [5,7,4,6,2,3,1]=>[5,4,7,2,6,1,3]=>110100=>001011 [5,7,4,6,3,1,2]=>[5,4,7,1,3,6,2]=>110100=>001011 [5,7,4,6,3,2,1]=>[5,4,7,1,2,3,6]=>100100=>001001 [5,7,6,1,2,3,4]=>[5,1,6,7,4,3,2]=>111100=>001111 [5,7,6,1,2,4,3]=>[5,1,6,7,3,4,2]=>111000=>000111 [5,7,6,1,3,2,4]=>[5,1,6,7,4,2,3]=>110100=>001011 [5,7,6,1,3,4,2]=>[5,1,6,7,3,2,4]=>111000=>000111 [5,7,6,1,4,2,3]=>[5,1,6,7,2,4,3]=>111000=>000111 [5,7,6,1,4,3,2]=>[5,1,6,7,2,3,4]=>110000=>000011 [5,7,6,2,1,3,4]=>[5,1,2,6,7,4,3]=>101100=>001101 [5,7,6,2,1,4,3]=>[5,1,2,6,7,3,4]=>101000=>000101 [5,7,6,2,3,1,4]=>[5,2,6,7,4,1,3]=>110100=>001011 [5,7,6,2,3,4,1]=>[5,2,6,7,3,1,4]=>111000=>000111 [5,7,6,2,4,1,3]=>[5,2,6,7,1,4,3]=>111000=>000111 [5,7,6,2,4,3,1]=>[5,2,6,7,1,3,4]=>110000=>000011 [5,7,6,3,1,2,4]=>[5,1,3,6,7,4,2]=>110100=>001011 [5,7,6,3,1,4,2]=>[5,1,3,6,7,2,4]=>110000=>000011 [5,7,6,3,2,1,4]=>[5,1,2,3,6,7,4]=>100100=>001001 [5,7,6,3,2,4,1]=>[5,2,3,6,7,1,4]=>110000=>000011 [5,7,6,3,4,1,2]=>[5,3,6,7,1,4,2]=>111000=>000111 [5,7,6,3,4,2,1]=>[5,3,6,7,1,2,4]=>101000=>000101 [5,7,6,4,1,2,3]=>[5,1,4,6,7,3,2]=>111000=>000111 [5,7,6,4,1,3,2]=>[5,1,4,6,7,2,3]=>110000=>000011 [5,7,6,4,2,1,3]=>[5,1,2,4,6,7,3]=>101000=>000101 [5,7,6,4,2,3,1]=>[5,2,4,6,7,1,3]=>110000=>000011 [5,7,6,4,3,1,2]=>[5,1,3,4,6,7,2]=>110000=>000011 [5,7,6,4,3,2,1]=>[5,1,2,3,4,6,7]=>100000=>000001 [6,1,2,3,4,5,7]=>[7,1,6,5,4,3,2]=>111110=>011111 [6,1,2,3,4,7,5]=>[1,6,5,7,4,3,2]=>011110=>011110 [6,1,2,3,5,4,7]=>[7,1,6,4,5,3,2]=>111100=>001111 [6,1,2,3,5,7,4]=>[1,6,5,4,7,3,2]=>011110=>011110 [6,1,2,3,7,4,5]=>[1,6,4,7,5,3,2]=>011110=>011110 [6,1,2,3,7,5,4]=>[1,6,4,5,7,3,2]=>011100=>001110 [6,1,2,4,3,5,7]=>[7,1,6,5,3,4,2]=>111010=>010111 [6,1,2,4,3,7,5]=>[1,6,5,7,3,4,2]=>011010=>010110 [6,1,2,4,5,3,7]=>[7,1,6,4,3,5,2]=>111100=>001111 [6,1,2,4,5,7,3]=>[1,6,5,4,3,7,2]=>011110=>011110 [6,1,2,4,7,3,5]=>[1,6,4,3,7,5,2]=>011110=>011110 [6,1,2,4,7,5,3]=>[1,6,4,3,5,7,2]=>011100=>001110 [6,1,2,5,3,4,7]=>[7,1,6,3,5,4,2]=>111100=>001111 [6,1,2,5,3,7,4]=>[1,6,3,5,4,7,2]=>011100=>001110 [6,1,2,5,4,3,7]=>[7,1,6,3,4,5,2]=>111000=>000111 [6,1,2,5,4,7,3]=>[1,6,4,5,3,7,2]=>011100=>001110 [6,1,2,5,7,3,4]=>[1,6,5,3,7,4,2]=>011110=>011110 [6,1,2,5,7,4,3]=>[1,6,5,3,4,7,2]=>011010=>010110 [6,1,2,7,3,4,5]=>[1,6,3,7,5,4,2]=>011110=>011110 [6,1,2,7,3,5,4]=>[1,6,3,7,4,5,2]=>011100=>001110 [6,1,2,7,4,3,5]=>[1,6,3,4,7,5,2]=>011010=>010110 [6,1,2,7,4,5,3]=>[1,6,4,7,3,5,2]=>011100=>001110 [6,1,2,7,5,3,4]=>[1,6,3,5,7,4,2]=>011100=>001110 [6,1,2,7,5,4,3]=>[1,6,3,4,5,7,2]=>011000=>000110 [6,1,3,2,4,5,7]=>[7,1,6,5,4,2,3]=>110110=>011011 [6,1,3,2,4,7,5]=>[1,6,5,7,4,2,3]=>010110=>011010 [6,1,3,2,5,4,7]=>[7,1,6,4,5,2,3]=>110100=>001011 [6,1,3,2,5,7,4]=>[1,6,5,4,7,2,3]=>010110=>011010 [6,1,3,2,7,4,5]=>[1,6,4,7,5,2,3]=>010110=>011010 [6,1,3,2,7,5,4]=>[1,6,4,5,7,2,3]=>010100=>001010 [6,1,3,4,2,5,7]=>[7,1,6,5,3,2,4]=>111010=>010111 [6,1,3,4,2,7,5]=>[1,6,5,7,3,2,4]=>011010=>010110 [6,1,3,4,5,2,7]=>[7,1,6,4,3,2,5]=>111100=>001111 [6,1,3,4,5,7,2]=>[1,6,5,4,3,2,7]=>011110=>011110 [6,1,3,4,7,2,5]=>[1,6,4,3,2,7,5]=>011110=>011110 [6,1,3,4,7,5,2]=>[1,6,4,3,2,5,7]=>011100=>001110 [6,1,3,5,2,4,7]=>[7,1,6,3,2,5,4]=>111100=>001111 [6,1,3,5,2,7,4]=>[1,6,3,2,5,4,7]=>011100=>001110 [6,1,3,5,4,2,7]=>[7,1,6,3,2,4,5]=>111000=>000111 [6,1,3,5,4,7,2]=>[1,6,4,5,3,2,7]=>011100=>001110 [6,1,3,5,7,2,4]=>[1,6,5,3,2,7,4]=>011110=>011110 [6,1,3,5,7,4,2]=>[1,6,5,3,2,4,7]=>011010=>010110 [6,1,3,7,2,4,5]=>[1,6,3,2,7,5,4]=>011110=>011110 [6,1,3,7,2,5,4]=>[1,6,3,2,7,4,5]=>011100=>001110 [6,1,3,7,4,2,5]=>[1,6,3,2,4,7,5]=>011010=>010110 [6,1,3,7,4,5,2]=>[1,6,4,7,3,2,5]=>011100=>001110 [6,1,3,7,5,2,4]=>[1,6,3,2,5,7,4]=>011100=>001110 [6,1,3,7,5,4,2]=>[1,6,3,2,4,5,7]=>011000=>000110 [6,1,4,2,3,5,7]=>[7,1,6,5,2,4,3]=>111010=>010111 [6,1,4,2,3,7,5]=>[1,6,5,7,2,4,3]=>011010=>010110 [6,1,4,2,5,3,7]=>[7,1,6,2,4,3,5]=>111000=>000111 [6,1,4,2,5,7,3]=>[1,6,5,2,4,3,7]=>011010=>010110 [6,1,4,2,7,3,5]=>[1,6,2,4,3,7,5]=>011010=>010110 [6,1,4,2,7,5,3]=>[1,6,2,4,3,5,7]=>011000=>000110 [6,1,4,3,2,5,7]=>[7,1,6,5,2,3,4]=>110010=>010011 [6,1,4,3,2,7,5]=>[1,6,5,7,2,3,4]=>010010=>010010 [6,1,4,3,5,2,7]=>[7,1,6,3,4,2,5]=>111000=>000111 [6,1,4,3,5,7,2]=>[1,6,5,3,4,2,7]=>011010=>010110 [6,1,4,3,7,2,5]=>[1,6,3,4,2,7,5]=>011010=>010110 [6,1,4,3,7,5,2]=>[1,6,3,4,2,5,7]=>011000=>000110 [6,1,4,5,2,3,7]=>[7,1,6,4,2,5,3]=>111100=>001111 [6,1,4,5,2,7,3]=>[1,6,4,2,5,3,7]=>011100=>001110 [6,1,4,5,3,2,7]=>[7,1,6,4,2,3,5]=>110100=>001011 [6,1,4,5,3,7,2]=>[1,6,4,3,5,2,7]=>011100=>001110 [6,1,4,5,7,2,3]=>[1,6,5,4,2,7,3]=>011110=>011110 [6,1,4,5,7,3,2]=>[1,6,5,4,2,3,7]=>010110=>011010 [6,1,4,7,2,3,5]=>[1,6,4,2,7,5,3]=>011110=>011110 [6,1,4,7,2,5,3]=>[1,6,4,2,7,3,5]=>011100=>001110 [6,1,4,7,3,2,5]=>[1,6,4,2,3,7,5]=>010110=>011010 [6,1,4,7,3,5,2]=>[1,6,4,3,7,2,5]=>011100=>001110 [6,1,4,7,5,2,3]=>[1,6,4,2,5,7,3]=>011100=>001110 [6,1,4,7,5,3,2]=>[1,6,4,2,3,5,7]=>010100=>001010 [6,1,5,2,3,4,7]=>[7,1,6,2,5,4,3]=>111100=>001111 [6,1,5,2,3,7,4]=>[1,6,2,5,4,7,3]=>011100=>001110 [6,1,5,2,4,3,7]=>[7,1,6,2,5,3,4]=>111000=>000111 [6,1,5,2,4,7,3]=>[1,6,2,5,4,3,7]=>011100=>001110 [6,1,5,2,7,3,4]=>[1,6,2,5,3,7,4]=>011100=>001110 [6,1,5,2,7,4,3]=>[1,6,2,5,3,4,7]=>011000=>000110 [6,1,5,3,2,4,7]=>[7,1,6,2,3,5,4]=>110100=>001011 [6,1,5,3,2,7,4]=>[1,6,2,3,5,4,7]=>010100=>001010 [6,1,5,3,4,2,7]=>[7,1,6,3,5,2,4]=>111000=>000111 [6,1,5,3,4,7,2]=>[1,6,3,5,4,2,7]=>011100=>001110 [6,1,5,3,7,2,4]=>[1,6,3,5,2,7,4]=>011100=>001110 [6,1,5,3,7,4,2]=>[1,6,3,5,2,4,7]=>011000=>000110 [6,1,5,4,2,3,7]=>[7,1,6,2,4,5,3]=>111000=>000111 [6,1,5,4,2,7,3]=>[1,6,2,4,5,3,7]=>011000=>000110 [6,1,5,4,3,2,7]=>[7,1,6,2,3,4,5]=>110000=>000011 [6,1,5,4,3,7,2]=>[1,6,3,4,5,2,7]=>011000=>000110 [6,1,5,4,7,2,3]=>[1,6,4,5,2,7,3]=>011100=>001110 [6,1,5,4,7,3,2]=>[1,6,4,5,2,3,7]=>010100=>001010 [6,1,5,7,2,3,4]=>[1,6,5,2,7,4,3]=>011110=>011110 [6,1,5,7,2,4,3]=>[1,6,5,2,7,3,4]=>011010=>010110 [6,1,5,7,3,2,4]=>[1,6,5,2,3,7,4]=>010110=>011010 [6,1,5,7,3,4,2]=>[1,6,5,3,7,2,4]=>011010=>010110 [6,1,5,7,4,2,3]=>[1,6,5,2,4,7,3]=>011010=>010110 [6,1,5,7,4,3,2]=>[1,6,5,2,3,4,7]=>010010=>010010 [6,1,7,2,3,4,5]=>[1,6,2,7,5,4,3]=>011110=>011110 [6,1,7,2,3,5,4]=>[1,6,2,7,4,5,3]=>011100=>001110 [6,1,7,2,4,3,5]=>[1,6,2,7,5,3,4]=>011010=>010110 [6,1,7,2,4,5,3]=>[1,6,2,7,4,3,5]=>011100=>001110 [6,1,7,2,5,3,4]=>[1,6,2,7,3,5,4]=>011100=>001110 [6,1,7,2,5,4,3]=>[1,6,2,7,3,4,5]=>011000=>000110 [6,1,7,3,2,4,5]=>[1,6,2,3,7,5,4]=>010110=>011010 [6,1,7,3,2,5,4]=>[1,6,2,3,7,4,5]=>010100=>001010 [6,1,7,3,4,2,5]=>[1,6,3,7,5,2,4]=>011010=>010110 [6,1,7,3,4,5,2]=>[1,6,3,7,4,2,5]=>011100=>001110 [6,1,7,3,5,2,4]=>[1,6,3,7,2,5,4]=>011100=>001110 [6,1,7,3,5,4,2]=>[1,6,3,7,2,4,5]=>011000=>000110 [6,1,7,4,2,3,5]=>[1,6,2,4,7,5,3]=>011010=>010110 [6,1,7,4,2,5,3]=>[1,6,2,4,7,3,5]=>011000=>000110 [6,1,7,4,3,2,5]=>[1,6,2,3,4,7,5]=>010010=>010010 [6,1,7,4,3,5,2]=>[1,6,3,4,7,2,5]=>011000=>000110 [6,1,7,4,5,2,3]=>[1,6,4,7,2,5,3]=>011100=>001110 [6,1,7,4,5,3,2]=>[1,6,4,7,2,3,5]=>010100=>001010 [6,1,7,5,2,3,4]=>[1,6,2,5,7,4,3]=>011100=>001110 [6,1,7,5,2,4,3]=>[1,6,2,5,7,3,4]=>011000=>000110 [6,1,7,5,3,2,4]=>[1,6,2,3,5,7,4]=>010100=>001010 [6,1,7,5,3,4,2]=>[1,6,3,5,7,2,4]=>011000=>000110 [6,1,7,5,4,2,3]=>[1,6,2,4,5,7,3]=>011000=>000110 [6,1,7,5,4,3,2]=>[1,6,2,3,4,5,7]=>010000=>000010 [6,2,1,3,4,5,7]=>[7,1,2,6,5,4,3]=>101110=>011101 [6,2,1,3,4,7,5]=>[1,2,6,5,7,4,3]=>001110=>011100 [6,2,1,3,5,4,7]=>[7,1,2,6,4,5,3]=>101100=>001101 [6,2,1,3,5,7,4]=>[1,2,6,5,4,7,3]=>001110=>011100 [6,2,1,3,7,4,5]=>[1,2,6,4,7,5,3]=>001110=>011100 [6,2,1,3,7,5,4]=>[1,2,6,4,5,7,3]=>001100=>001100 [6,2,1,4,3,5,7]=>[7,1,2,6,5,3,4]=>101010=>010101 [6,2,1,4,3,7,5]=>[1,2,6,5,7,3,4]=>001010=>010100 [6,2,1,4,5,3,7]=>[7,1,2,6,4,3,5]=>101100=>001101 [6,2,1,4,5,7,3]=>[1,2,6,5,4,3,7]=>001110=>011100 [6,2,1,4,7,3,5]=>[1,2,6,4,3,7,5]=>001110=>011100 [6,2,1,4,7,5,3]=>[1,2,6,4,3,5,7]=>001100=>001100 [6,2,1,5,3,4,7]=>[7,1,2,6,3,5,4]=>101100=>001101 [6,2,1,5,3,7,4]=>[1,2,6,3,5,4,7]=>001100=>001100 [6,2,1,5,4,3,7]=>[7,1,2,6,3,4,5]=>101000=>000101 [6,2,1,5,4,7,3]=>[1,2,6,4,5,3,7]=>001100=>001100 [6,2,1,5,7,3,4]=>[1,2,6,5,3,7,4]=>001110=>011100 [6,2,1,5,7,4,3]=>[1,2,6,5,3,4,7]=>001010=>010100 [6,2,1,7,3,4,5]=>[1,2,6,3,7,5,4]=>001110=>011100 [6,2,1,7,3,5,4]=>[1,2,6,3,7,4,5]=>001100=>001100 [6,2,1,7,4,3,5]=>[1,2,6,3,4,7,5]=>001010=>010100 [6,2,1,7,4,5,3]=>[1,2,6,4,7,3,5]=>001100=>001100 [6,2,1,7,5,3,4]=>[1,2,6,3,5,7,4]=>001100=>001100 [6,2,1,7,5,4,3]=>[1,2,6,3,4,5,7]=>001000=>000100 [6,2,3,1,4,5,7]=>[7,2,6,5,4,1,3]=>110110=>011011 [6,2,3,1,4,7,5]=>[2,6,5,7,4,1,3]=>100110=>011001 [6,2,3,1,5,4,7]=>[7,2,6,4,5,1,3]=>110100=>001011 [6,2,3,1,5,7,4]=>[2,6,5,4,7,1,3]=>100110=>011001 [6,2,3,1,7,4,5]=>[2,6,4,7,5,1,3]=>100110=>011001 [6,2,3,1,7,5,4]=>[2,6,4,5,7,1,3]=>100100=>001001 [6,2,3,4,1,5,7]=>[7,2,6,5,3,1,4]=>111010=>010111 [6,2,3,4,1,7,5]=>[2,6,5,7,3,1,4]=>101010=>010101 [6,2,3,4,5,1,7]=>[7,2,6,4,3,1,5]=>111100=>001111 [6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>101110=>011101 [6,2,3,4,7,1,5]=>[2,6,4,3,1,7,5]=>101110=>011101 [6,2,3,4,7,5,1]=>[2,6,4,3,1,5,7]=>101100=>001101 [6,2,3,5,1,4,7]=>[7,2,6,3,1,5,4]=>111100=>001111 [6,2,3,5,1,7,4]=>[2,6,3,1,5,4,7]=>101100=>001101 [6,2,3,5,4,1,7]=>[7,2,6,3,1,4,5]=>111000=>000111 [6,2,3,5,4,7,1]=>[2,6,4,5,3,1,7]=>101100=>001101 [6,2,3,5,7,1,4]=>[2,6,5,3,1,7,4]=>101110=>011101 [6,2,3,5,7,4,1]=>[2,6,5,3,1,4,7]=>101010=>010101 [6,2,3,7,1,4,5]=>[2,6,3,1,7,5,4]=>101110=>011101 [6,2,3,7,1,5,4]=>[2,6,3,1,7,4,5]=>101100=>001101 [6,2,3,7,4,1,5]=>[2,6,3,1,4,7,5]=>101010=>010101 [6,2,3,7,4,5,1]=>[2,6,4,7,3,1,5]=>101100=>001101 [6,2,3,7,5,1,4]=>[2,6,3,1,5,7,4]=>101100=>001101 [6,2,3,7,5,4,1]=>[2,6,3,1,4,5,7]=>101000=>000101 [6,2,4,1,3,5,7]=>[7,2,6,5,1,4,3]=>111010=>010111 [6,2,4,1,3,7,5]=>[2,6,5,7,1,4,3]=>101010=>010101 [6,2,4,1,5,3,7]=>[7,2,6,1,4,3,5]=>111000=>000111 [6,2,4,1,5,7,3]=>[2,6,5,1,4,3,7]=>101010=>010101 [6,2,4,1,7,3,5]=>[2,6,1,4,3,7,5]=>101010=>010101 [6,2,4,1,7,5,3]=>[2,6,1,4,3,5,7]=>101000=>000101 [6,2,4,3,1,5,7]=>[7,2,6,5,1,3,4]=>110010=>010011 [6,2,4,3,1,7,5]=>[2,6,5,7,1,3,4]=>100010=>010001 [6,2,4,3,5,1,7]=>[7,2,6,3,4,1,5]=>111000=>000111 [6,2,4,3,5,7,1]=>[2,6,5,3,4,1,7]=>101010=>010101 [6,2,4,3,7,1,5]=>[2,6,3,4,1,7,5]=>101010=>010101 [6,2,4,3,7,5,1]=>[2,6,3,4,1,5,7]=>101000=>000101 [6,2,4,5,1,3,7]=>[7,2,6,4,1,5,3]=>111100=>001111 [6,2,4,5,1,7,3]=>[2,6,4,1,5,3,7]=>101100=>001101 [6,2,4,5,3,1,7]=>[7,2,6,4,1,3,5]=>110100=>001011 [6,2,4,5,3,7,1]=>[2,6,4,3,5,1,7]=>101100=>001101 [6,2,4,5,7,1,3]=>[2,6,5,4,1,7,3]=>101110=>011101 [6,2,4,5,7,3,1]=>[2,6,5,4,1,3,7]=>100110=>011001 [6,2,4,7,1,3,5]=>[2,6,4,1,7,5,3]=>101110=>011101 [6,2,4,7,1,5,3]=>[2,6,4,1,7,3,5]=>101100=>001101 [6,2,4,7,3,1,5]=>[2,6,4,1,3,7,5]=>100110=>011001 [6,2,4,7,3,5,1]=>[2,6,4,3,7,1,5]=>101100=>001101 [6,2,4,7,5,1,3]=>[2,6,4,1,5,7,3]=>101100=>001101 [6,2,4,7,5,3,1]=>[2,6,4,1,3,5,7]=>100100=>001001 [6,2,5,1,3,4,7]=>[7,2,6,1,5,4,3]=>111100=>001111 [6,2,5,1,3,7,4]=>[2,6,1,5,4,7,3]=>101100=>001101 [6,2,5,1,4,3,7]=>[7,2,6,1,5,3,4]=>111000=>000111 [6,2,5,1,4,7,3]=>[2,6,1,5,4,3,7]=>101100=>001101 [6,2,5,1,7,3,4]=>[2,6,1,5,3,7,4]=>101100=>001101 [6,2,5,1,7,4,3]=>[2,6,1,5,3,4,7]=>101000=>000101 [6,2,5,3,1,4,7]=>[7,2,6,1,3,5,4]=>110100=>001011 [6,2,5,3,1,7,4]=>[2,6,1,3,5,4,7]=>100100=>001001 [6,2,5,3,4,1,7]=>[7,2,6,3,5,1,4]=>111000=>000111 [6,2,5,3,4,7,1]=>[2,6,3,5,4,1,7]=>101100=>001101 [6,2,5,3,7,1,4]=>[2,6,3,5,1,7,4]=>101100=>001101 [6,2,5,3,7,4,1]=>[2,6,3,5,1,4,7]=>101000=>000101 [6,2,5,4,1,3,7]=>[7,2,6,1,4,5,3]=>111000=>000111 [6,2,5,4,1,7,3]=>[2,6,1,4,5,3,7]=>101000=>000101 [6,2,5,4,3,1,7]=>[7,2,6,1,3,4,5]=>110000=>000011 [6,2,5,4,3,7,1]=>[2,6,3,4,5,1,7]=>101000=>000101 [6,2,5,4,7,1,3]=>[2,6,4,5,1,7,3]=>101100=>001101 [6,2,5,4,7,3,1]=>[2,6,4,5,1,3,7]=>100100=>001001 [6,2,5,7,1,3,4]=>[2,6,5,1,7,4,3]=>101110=>011101 [6,2,5,7,1,4,3]=>[2,6,5,1,7,3,4]=>101010=>010101 [6,2,5,7,3,1,4]=>[2,6,5,1,3,7,4]=>100110=>011001 [6,2,5,7,3,4,1]=>[2,6,5,3,7,1,4]=>101010=>010101 [6,2,5,7,4,1,3]=>[2,6,5,1,4,7,3]=>101010=>010101 [6,2,5,7,4,3,1]=>[2,6,5,1,3,4,7]=>100010=>010001 [6,2,7,1,3,4,5]=>[2,6,1,7,5,4,3]=>101110=>011101 [6,2,7,1,3,5,4]=>[2,6,1,7,4,5,3]=>101100=>001101 [6,2,7,1,4,3,5]=>[2,6,1,7,5,3,4]=>101010=>010101 [6,2,7,1,4,5,3]=>[2,6,1,7,4,3,5]=>101100=>001101 [6,2,7,1,5,3,4]=>[2,6,1,7,3,5,4]=>101100=>001101 [6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]=>101000=>000101 [6,2,7,3,1,4,5]=>[2,6,1,3,7,5,4]=>100110=>011001 [6,2,7,3,1,5,4]=>[2,6,1,3,7,4,5]=>100100=>001001 [6,2,7,3,4,1,5]=>[2,6,3,7,5,1,4]=>101010=>010101 [6,2,7,3,4,5,1]=>[2,6,3,7,4,1,5]=>101100=>001101 [6,2,7,3,5,1,4]=>[2,6,3,7,1,5,4]=>101100=>001101 [6,2,7,3,5,4,1]=>[2,6,3,7,1,4,5]=>101000=>000101 [6,2,7,4,1,3,5]=>[2,6,1,4,7,5,3]=>101010=>010101 [6,2,7,4,1,5,3]=>[2,6,1,4,7,3,5]=>101000=>000101 [6,2,7,4,3,1,5]=>[2,6,1,3,4,7,5]=>100010=>010001 [6,2,7,4,3,5,1]=>[2,6,3,4,7,1,5]=>101000=>000101 [6,2,7,4,5,1,3]=>[2,6,4,7,1,5,3]=>101100=>001101 [6,2,7,4,5,3,1]=>[2,6,4,7,1,3,5]=>100100=>001001 [6,2,7,5,1,3,4]=>[2,6,1,5,7,4,3]=>101100=>001101 [6,2,7,5,1,4,3]=>[2,6,1,5,7,3,4]=>101000=>000101 [6,2,7,5,3,1,4]=>[2,6,1,3,5,7,4]=>100100=>001001 [6,2,7,5,3,4,1]=>[2,6,3,5,7,1,4]=>101000=>000101 [6,2,7,5,4,1,3]=>[2,6,1,4,5,7,3]=>101000=>000101 [6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]=>100000=>000001 [6,3,1,2,4,5,7]=>[7,1,3,6,5,4,2]=>110110=>011011 [6,3,1,2,4,7,5]=>[1,3,6,5,7,4,2]=>010110=>011010 [6,3,1,2,5,4,7]=>[7,1,3,6,4,5,2]=>110100=>001011 [6,3,1,2,5,7,4]=>[1,3,6,5,4,7,2]=>010110=>011010 [6,3,1,2,7,4,5]=>[1,3,6,4,7,5,2]=>010110=>011010 [6,3,1,2,7,5,4]=>[1,3,6,4,5,7,2]=>010100=>001010 [6,3,1,4,2,5,7]=>[7,1,3,6,5,2,4]=>110010=>010011 [6,3,1,4,2,7,5]=>[1,3,6,5,7,2,4]=>010010=>010010 [6,3,1,4,5,2,7]=>[7,1,3,6,4,2,5]=>110100=>001011 [6,3,1,4,5,7,2]=>[1,3,6,5,4,2,7]=>010110=>011010 [6,3,1,4,7,2,5]=>[1,3,6,4,2,7,5]=>010110=>011010 [6,3,1,4,7,5,2]=>[1,3,6,4,2,5,7]=>010100=>001010 [6,3,1,5,2,4,7]=>[7,1,3,6,2,5,4]=>110100=>001011 [6,3,1,5,2,7,4]=>[1,3,6,2,5,4,7]=>010100=>001010 [6,3,1,5,4,2,7]=>[7,1,3,6,2,4,5]=>110000=>000011 [6,3,1,5,4,7,2]=>[1,3,6,4,5,2,7]=>010100=>001010 [6,3,1,5,7,2,4]=>[1,3,6,5,2,7,4]=>010110=>011010 [6,3,1,5,7,4,2]=>[1,3,6,5,2,4,7]=>010010=>010010 [6,3,1,7,2,4,5]=>[1,3,6,2,7,5,4]=>010110=>011010 [6,3,1,7,2,5,4]=>[1,3,6,2,7,4,5]=>010100=>001010 [6,3,1,7,4,2,5]=>[1,3,6,2,4,7,5]=>010010=>010010 [6,3,1,7,4,5,2]=>[1,3,6,4,7,2,5]=>010100=>001010 [6,3,1,7,5,2,4]=>[1,3,6,2,5,7,4]=>010100=>001010 [6,3,1,7,5,4,2]=>[1,3,6,2,4,5,7]=>010000=>000010 [6,3,2,1,4,5,7]=>[7,1,2,3,6,5,4]=>100110=>011001 [6,3,2,1,4,7,5]=>[1,2,3,6,5,7,4]=>000110=>011000 [6,3,2,1,5,4,7]=>[7,1,2,3,6,4,5]=>100100=>001001 [6,3,2,1,5,7,4]=>[1,2,3,6,5,4,7]=>000110=>011000 [6,3,2,1,7,4,5]=>[1,2,3,6,4,7,5]=>000110=>011000 [6,3,2,1,7,5,4]=>[1,2,3,6,4,5,7]=>000100=>001000 [6,3,2,4,1,5,7]=>[7,2,3,6,5,1,4]=>110010=>010011 [6,3,2,4,1,7,5]=>[2,3,6,5,7,1,4]=>100010=>010001 [6,3,2,4,5,1,7]=>[7,2,3,6,4,1,5]=>110100=>001011 [6,3,2,4,5,7,1]=>[2,3,6,5,4,1,7]=>100110=>011001 [6,3,2,4,7,1,5]=>[2,3,6,4,1,7,5]=>100110=>011001 [6,3,2,4,7,5,1]=>[2,3,6,4,1,5,7]=>100100=>001001 [6,3,2,5,1,4,7]=>[7,2,3,6,1,5,4]=>110100=>001011 [6,3,2,5,1,7,4]=>[2,3,6,1,5,4,7]=>100100=>001001 [6,3,2,5,4,1,7]=>[7,2,3,6,1,4,5]=>110000=>000011 [6,3,2,5,4,7,1]=>[2,3,6,4,5,1,7]=>100100=>001001 [6,3,2,5,7,1,4]=>[2,3,6,5,1,7,4]=>100110=>011001 [6,3,2,5,7,4,1]=>[2,3,6,5,1,4,7]=>100010=>010001 [6,3,2,7,1,4,5]=>[2,3,6,1,7,5,4]=>100110=>011001 [6,3,2,7,1,5,4]=>[2,3,6,1,7,4,5]=>100100=>001001 [6,3,2,7,4,1,5]=>[2,3,6,1,4,7,5]=>100010=>010001 [6,3,2,7,4,5,1]=>[2,3,6,4,7,1,5]=>100100=>001001 [6,3,2,7,5,1,4]=>[2,3,6,1,5,7,4]=>100100=>001001 [6,3,2,7,5,4,1]=>[2,3,6,1,4,5,7]=>100000=>000001 [6,3,4,1,2,5,7]=>[7,3,6,5,1,4,2]=>111010=>010111 [6,3,4,1,2,7,5]=>[3,6,5,7,1,4,2]=>110010=>010011 [6,3,4,1,5,2,7]=>[7,3,6,1,4,2,5]=>111000=>000111 [6,3,4,1,5,7,2]=>[3,6,5,1,4,2,7]=>110010=>010011 [6,3,4,1,7,2,5]=>[3,6,1,4,2,7,5]=>110010=>010011 [6,3,4,1,7,5,2]=>[3,6,1,4,2,5,7]=>110000=>000011 [6,3,4,2,1,5,7]=>[7,3,6,5,1,2,4]=>101010=>010101 [6,3,4,2,1,7,5]=>[3,6,5,7,1,2,4]=>100010=>010001 [6,3,4,2,5,1,7]=>[7,3,6,2,4,1,5]=>111000=>000111 [6,3,4,2,5,7,1]=>[3,6,5,2,4,1,7]=>110010=>010011 [6,3,4,2,7,1,5]=>[3,6,2,4,1,7,5]=>110010=>010011 [6,3,4,2,7,5,1]=>[3,6,2,4,1,5,7]=>110000=>000011 [6,3,4,5,1,2,7]=>[7,3,6,4,1,5,2]=>111100=>001111 [6,3,4,5,1,7,2]=>[3,6,4,1,5,2,7]=>110100=>001011 [6,3,4,5,2,1,7]=>[7,3,6,4,1,2,5]=>101100=>001101 [6,3,4,5,2,7,1]=>[3,6,4,2,5,1,7]=>110100=>001011 [6,3,4,5,7,1,2]=>[3,6,5,4,1,7,2]=>110110=>011011 [6,3,4,5,7,2,1]=>[3,6,5,4,1,2,7]=>100110=>011001 [6,3,4,7,1,2,5]=>[3,6,4,1,7,5,2]=>110110=>011011 [6,3,4,7,1,5,2]=>[3,6,4,1,7,2,5]=>110100=>001011 [6,3,4,7,2,1,5]=>[3,6,4,1,2,7,5]=>100110=>011001 [6,3,4,7,2,5,1]=>[3,6,4,2,7,1,5]=>110100=>001011 [6,3,4,7,5,1,2]=>[3,6,4,1,5,7,2]=>110100=>001011 [6,3,4,7,5,2,1]=>[3,6,4,1,2,5,7]=>100100=>001001 [6,3,5,1,2,4,7]=>[7,3,6,1,5,4,2]=>111100=>001111 [6,3,5,1,2,7,4]=>[3,6,1,5,4,7,2]=>110100=>001011 [6,3,5,1,4,2,7]=>[7,3,6,1,5,2,4]=>111000=>000111 [6,3,5,1,4,7,2]=>[3,6,1,5,4,2,7]=>110100=>001011 [6,3,5,1,7,2,4]=>[3,6,1,5,2,7,4]=>110100=>001011 [6,3,5,1,7,4,2]=>[3,6,1,5,2,4,7]=>110000=>000011 [6,3,5,2,1,4,7]=>[7,3,6,1,2,5,4]=>101100=>001101 [6,3,5,2,1,7,4]=>[3,6,1,2,5,4,7]=>100100=>001001 [6,3,5,2,4,1,7]=>[7,3,6,2,5,1,4]=>111000=>000111 [6,3,5,2,4,7,1]=>[3,6,2,5,4,1,7]=>110100=>001011 [6,3,5,2,7,1,4]=>[3,6,2,5,1,7,4]=>110100=>001011 [6,3,5,2,7,4,1]=>[3,6,2,5,1,4,7]=>110000=>000011 [6,3,5,4,1,2,7]=>[7,3,6,1,4,5,2]=>111000=>000111 [6,3,5,4,1,7,2]=>[3,6,1,4,5,2,7]=>110000=>000011 [6,3,5,4,2,1,7]=>[7,3,6,1,2,4,5]=>101000=>000101 [6,3,5,4,2,7,1]=>[3,6,2,4,5,1,7]=>110000=>000011 [6,3,5,4,7,1,2]=>[3,6,4,5,1,7,2]=>110100=>001011 [6,3,5,4,7,2,1]=>[3,6,4,5,1,2,7]=>100100=>001001 [6,3,5,7,1,2,4]=>[3,6,5,1,7,4,2]=>110110=>011011 [6,3,5,7,1,4,2]=>[3,6,5,1,7,2,4]=>110010=>010011 [6,3,5,7,2,1,4]=>[3,6,5,1,2,7,4]=>100110=>011001 [6,3,5,7,2,4,1]=>[3,6,5,2,7,1,4]=>110010=>010011 [6,3,5,7,4,1,2]=>[3,6,5,1,4,7,2]=>110010=>010011 [6,3,5,7,4,2,1]=>[3,6,5,1,2,4,7]=>100010=>010001 [6,3,7,1,2,4,5]=>[3,6,1,7,5,4,2]=>110110=>011011 [6,3,7,1,2,5,4]=>[3,6,1,7,4,5,2]=>110100=>001011 [6,3,7,1,4,2,5]=>[3,6,1,7,5,2,4]=>110010=>010011 [6,3,7,1,4,5,2]=>[3,6,1,7,4,2,5]=>110100=>001011 [6,3,7,1,5,2,4]=>[3,6,1,7,2,5,4]=>110100=>001011 [6,3,7,1,5,4,2]=>[3,6,1,7,2,4,5]=>110000=>000011 [6,3,7,2,1,4,5]=>[3,6,1,2,7,5,4]=>100110=>011001 [6,3,7,2,1,5,4]=>[3,6,1,2,7,4,5]=>100100=>001001 [6,3,7,2,4,1,5]=>[3,6,2,7,5,1,4]=>110010=>010011 [6,3,7,2,4,5,1]=>[3,6,2,7,4,1,5]=>110100=>001011 [6,3,7,2,5,1,4]=>[3,6,2,7,1,5,4]=>110100=>001011 [6,3,7,2,5,4,1]=>[3,6,2,7,1,4,5]=>110000=>000011 [6,3,7,4,1,2,5]=>[3,6,1,4,7,5,2]=>110010=>010011 [6,3,7,4,1,5,2]=>[3,6,1,4,7,2,5]=>110000=>000011 [6,3,7,4,2,1,5]=>[3,6,1,2,4,7,5]=>100010=>010001 [6,3,7,4,2,5,1]=>[3,6,2,4,7,1,5]=>110000=>000011 [6,3,7,4,5,1,2]=>[3,6,4,7,1,5,2]=>110100=>001011 [6,3,7,4,5,2,1]=>[3,6,4,7,1,2,5]=>100100=>001001 [6,3,7,5,1,2,4]=>[3,6,1,5,7,4,2]=>110100=>001011 [6,3,7,5,1,4,2]=>[3,6,1,5,7,2,4]=>110000=>000011 [6,3,7,5,2,1,4]=>[3,6,1,2,5,7,4]=>100100=>001001 [6,3,7,5,2,4,1]=>[3,6,2,5,7,1,4]=>110000=>000011 [6,3,7,5,4,1,2]=>[3,6,1,4,5,7,2]=>110000=>000011 [6,3,7,5,4,2,1]=>[3,6,1,2,4,5,7]=>100000=>000001 [6,4,1,2,3,5,7]=>[7,1,4,6,5,3,2]=>111010=>010111 [6,4,1,2,3,7,5]=>[1,4,6,5,7,3,2]=>011010=>010110 [6,4,1,2,5,3,7]=>[7,1,4,6,3,5,2]=>111000=>000111 [6,4,1,2,5,7,3]=>[1,4,6,5,3,7,2]=>011010=>010110 [6,4,1,2,7,3,5]=>[1,4,6,3,7,5,2]=>011010=>010110 [6,4,1,2,7,5,3]=>[1,4,6,3,5,7,2]=>011000=>000110 [6,4,1,3,2,5,7]=>[7,1,4,6,5,2,3]=>110010=>010011 [6,4,1,3,2,7,5]=>[1,4,6,5,7,2,3]=>010010=>010010 [6,4,1,3,5,2,7]=>[7,1,4,6,3,2,5]=>111000=>000111 [6,4,1,3,5,7,2]=>[1,4,6,5,3,2,7]=>011010=>010110 [6,4,1,3,7,2,5]=>[1,4,6,3,2,7,5]=>011010=>010110 [6,4,1,3,7,5,2]=>[1,4,6,3,2,5,7]=>011000=>000110 [6,4,1,5,2,3,7]=>[7,1,4,6,2,5,3]=>111000=>000111 [6,4,1,5,2,7,3]=>[1,4,6,2,5,3,7]=>011000=>000110 [6,4,1,5,3,2,7]=>[7,1,4,6,2,3,5]=>110000=>000011 [6,4,1,5,3,7,2]=>[1,4,6,3,5,2,7]=>011000=>000110 [6,4,1,5,7,2,3]=>[1,4,6,5,2,7,3]=>011010=>010110 [6,4,1,5,7,3,2]=>[1,4,6,5,2,3,7]=>010010=>010010 [6,4,1,7,2,3,5]=>[1,4,6,2,7,5,3]=>011010=>010110 [6,4,1,7,2,5,3]=>[1,4,6,2,7,3,5]=>011000=>000110 [6,4,1,7,3,2,5]=>[1,4,6,2,3,7,5]=>010010=>010010 [6,4,1,7,3,5,2]=>[1,4,6,3,7,2,5]=>011000=>000110 [6,4,1,7,5,2,3]=>[1,4,6,2,5,7,3]=>011000=>000110 [6,4,1,7,5,3,2]=>[1,4,6,2,3,5,7]=>010000=>000010 [6,4,2,1,3,5,7]=>[7,1,2,4,6,5,3]=>101010=>010101 [6,4,2,1,3,7,5]=>[1,2,4,6,5,7,3]=>001010=>010100 [6,4,2,1,5,3,7]=>[7,1,2,4,6,3,5]=>101000=>000101 [6,4,2,1,5,7,3]=>[1,2,4,6,5,3,7]=>001010=>010100 [6,4,2,1,7,3,5]=>[1,2,4,6,3,7,5]=>001010=>010100 [6,4,2,1,7,5,3]=>[1,2,4,6,3,5,7]=>001000=>000100 [6,4,2,3,1,5,7]=>[7,2,4,6,5,1,3]=>110010=>010011 [6,4,2,3,1,7,5]=>[2,4,6,5,7,1,3]=>100010=>010001 [6,4,2,3,5,1,7]=>[7,2,4,6,3,1,5]=>111000=>000111 [6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>101010=>010101 [6,4,2,3,7,1,5]=>[2,4,6,3,1,7,5]=>101010=>010101 [6,4,2,3,7,5,1]=>[2,4,6,3,1,5,7]=>101000=>000101 [6,4,2,5,1,3,7]=>[7,2,4,6,1,5,3]=>111000=>000111 [6,4,2,5,1,7,3]=>[2,4,6,1,5,3,7]=>101000=>000101 [6,4,2,5,3,1,7]=>[7,2,4,6,1,3,5]=>110000=>000011 [6,4,2,5,3,7,1]=>[2,4,6,3,5,1,7]=>101000=>000101 [6,4,2,5,7,1,3]=>[2,4,6,5,1,7,3]=>101010=>010101 [6,4,2,5,7,3,1]=>[2,4,6,5,1,3,7]=>100010=>010001 [6,4,2,7,1,3,5]=>[2,4,6,1,7,5,3]=>101010=>010101 [6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]=>101000=>000101 [6,4,2,7,3,1,5]=>[2,4,6,1,3,7,5]=>100010=>010001 [6,4,2,7,3,5,1]=>[2,4,6,3,7,1,5]=>101000=>000101 [6,4,2,7,5,1,3]=>[2,4,6,1,5,7,3]=>101000=>000101 [6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]=>100000=>000001 [6,4,3,1,2,5,7]=>[7,1,3,4,6,5,2]=>110010=>010011 [6,4,3,1,2,7,5]=>[1,3,4,6,5,7,2]=>010010=>010010 [6,4,3,1,5,2,7]=>[7,1,3,4,6,2,5]=>110000=>000011 [6,4,3,1,5,7,2]=>[1,3,4,6,5,2,7]=>010010=>010010 [6,4,3,1,7,2,5]=>[1,3,4,6,2,7,5]=>010010=>010010 [6,4,3,1,7,5,2]=>[1,3,4,6,2,5,7]=>010000=>000010 [6,4,3,2,1,5,7]=>[7,1,2,3,4,6,5]=>100010=>010001 [6,4,3,2,1,7,5]=>[1,2,3,4,6,5,7]=>000010=>010000 [6,4,3,2,5,1,7]=>[7,2,3,4,6,1,5]=>110000=>000011 [6,4,3,2,5,7,1]=>[2,3,4,6,5,1,7]=>100010=>010001 [6,4,3,2,7,1,5]=>[2,3,4,6,1,7,5]=>100010=>010001 [6,4,3,2,7,5,1]=>[2,3,4,6,1,5,7]=>100000=>000001 [6,4,3,5,1,2,7]=>[7,3,4,6,1,5,2]=>111000=>000111 [6,4,3,5,1,7,2]=>[3,4,6,1,5,2,7]=>110000=>000011 [6,4,3,5,2,1,7]=>[7,3,4,6,1,2,5]=>101000=>000101 [6,4,3,5,2,7,1]=>[3,4,6,2,5,1,7]=>110000=>000011 [6,4,3,5,7,1,2]=>[3,4,6,5,1,7,2]=>110010=>010011 [6,4,3,5,7,2,1]=>[3,4,6,5,1,2,7]=>100010=>010001 [6,4,3,7,1,2,5]=>[3,4,6,1,7,5,2]=>110010=>010011 [6,4,3,7,1,5,2]=>[3,4,6,1,7,2,5]=>110000=>000011 [6,4,3,7,2,1,5]=>[3,4,6,1,2,7,5]=>100010=>010001 [6,4,3,7,2,5,1]=>[3,4,6,2,7,1,5]=>110000=>000011 [6,4,3,7,5,1,2]=>[3,4,6,1,5,7,2]=>110000=>000011 [6,4,3,7,5,2,1]=>[3,4,6,1,2,5,7]=>100000=>000001 [6,4,5,1,2,3,7]=>[7,4,6,1,5,3,2]=>111100=>001111 [6,4,5,1,2,7,3]=>[4,6,1,5,3,7,2]=>111000=>000111 [6,4,5,1,3,2,7]=>[7,4,6,1,5,2,3]=>110100=>001011 [6,4,5,1,3,7,2]=>[4,6,1,5,3,2,7]=>111000=>000111 [6,4,5,1,7,2,3]=>[4,6,1,5,2,7,3]=>111000=>000111 [6,4,5,1,7,3,2]=>[4,6,1,5,2,3,7]=>110000=>000011 [6,4,5,2,1,3,7]=>[7,4,6,1,2,5,3]=>101100=>001101 [6,4,5,2,1,7,3]=>[4,6,1,2,5,3,7]=>101000=>000101 [6,4,5,2,3,1,7]=>[7,4,6,2,5,1,3]=>110100=>001011 [6,4,5,2,3,7,1]=>[4,6,2,5,3,1,7]=>111000=>000111 [6,4,5,2,7,1,3]=>[4,6,2,5,1,7,3]=>111000=>000111 [6,4,5,2,7,3,1]=>[4,6,2,5,1,3,7]=>110000=>000011 [6,4,5,3,1,2,7]=>[7,4,6,1,3,5,2]=>110100=>001011 [6,4,5,3,1,7,2]=>[4,6,1,3,5,2,7]=>110000=>000011 [6,4,5,3,2,1,7]=>[7,4,6,1,2,3,5]=>100100=>001001 [6,4,5,3,2,7,1]=>[4,6,2,3,5,1,7]=>110000=>000011 [6,4,5,3,7,1,2]=>[4,6,3,5,1,7,2]=>111000=>000111 [6,4,5,3,7,2,1]=>[4,6,3,5,1,2,7]=>101000=>000101 [6,4,5,7,1,2,3]=>[4,6,5,1,7,3,2]=>111010=>010111 [6,4,5,7,1,3,2]=>[4,6,5,1,7,2,3]=>110010=>010011 [6,4,5,7,2,1,3]=>[4,6,5,1,2,7,3]=>101010=>010101 [6,4,5,7,2,3,1]=>[4,6,5,2,7,1,3]=>110010=>010011 [6,4,5,7,3,1,2]=>[4,6,5,1,3,7,2]=>110010=>010011 [6,4,5,7,3,2,1]=>[4,6,5,1,2,3,7]=>100010=>010001 [6,4,7,1,2,3,5]=>[4,6,1,7,5,3,2]=>111010=>010111 [6,4,7,1,2,5,3]=>[4,6,1,7,3,5,2]=>111000=>000111 [6,4,7,1,3,2,5]=>[4,6,1,7,5,2,3]=>110010=>010011 [6,4,7,1,3,5,2]=>[4,6,1,7,3,2,5]=>111000=>000111 [6,4,7,1,5,2,3]=>[4,6,1,7,2,5,3]=>111000=>000111 [6,4,7,1,5,3,2]=>[4,6,1,7,2,3,5]=>110000=>000011 [6,4,7,2,1,3,5]=>[4,6,1,2,7,5,3]=>101010=>010101 [6,4,7,2,1,5,3]=>[4,6,1,2,7,3,5]=>101000=>000101 [6,4,7,2,3,1,5]=>[4,6,2,7,5,1,3]=>110010=>010011 [6,4,7,2,3,5,1]=>[4,6,2,7,3,1,5]=>111000=>000111 [6,4,7,2,5,1,3]=>[4,6,2,7,1,5,3]=>111000=>000111 [6,4,7,2,5,3,1]=>[4,6,2,7,1,3,5]=>110000=>000011 [6,4,7,3,1,2,5]=>[4,6,1,3,7,5,2]=>110010=>010011 [6,4,7,3,1,5,2]=>[4,6,1,3,7,2,5]=>110000=>000011 [6,4,7,3,2,1,5]=>[4,6,1,2,3,7,5]=>100010=>010001 [6,4,7,3,2,5,1]=>[4,6,2,3,7,1,5]=>110000=>000011 [6,4,7,3,5,1,2]=>[4,6,3,7,1,5,2]=>111000=>000111 [6,4,7,3,5,2,1]=>[4,6,3,7,1,2,5]=>101000=>000101 [6,4,7,5,1,2,3]=>[4,6,1,5,7,3,2]=>111000=>000111 [6,4,7,5,1,3,2]=>[4,6,1,5,7,2,3]=>110000=>000011 [6,4,7,5,2,1,3]=>[4,6,1,2,5,7,3]=>101000=>000101 [6,4,7,5,2,3,1]=>[4,6,2,5,7,1,3]=>110000=>000011 [6,4,7,5,3,1,2]=>[4,6,1,3,5,7,2]=>110000=>000011 [6,4,7,5,3,2,1]=>[4,6,1,2,3,5,7]=>100000=>000001 [6,5,1,2,3,4,7]=>[7,1,5,6,4,3,2]=>111100=>001111 [6,5,1,2,3,7,4]=>[1,5,6,4,7,3,2]=>011100=>001110 [6,5,1,2,4,3,7]=>[7,1,5,6,3,4,2]=>111000=>000111 [6,5,1,2,4,7,3]=>[1,5,6,4,3,7,2]=>011100=>001110 [6,5,1,2,7,3,4]=>[1,5,6,3,7,4,2]=>011100=>001110 [6,5,1,2,7,4,3]=>[1,5,6,3,4,7,2]=>011000=>000110 [6,5,1,3,2,4,7]=>[7,1,5,6,4,2,3]=>110100=>001011 [6,5,1,3,2,7,4]=>[1,5,6,4,7,2,3]=>010100=>001010 [6,5,1,3,4,2,7]=>[7,1,5,6,3,2,4]=>111000=>000111 [6,5,1,3,4,7,2]=>[1,5,6,4,3,2,7]=>011100=>001110 [6,5,1,3,7,2,4]=>[1,5,6,3,2,7,4]=>011100=>001110 [6,5,1,3,7,4,2]=>[1,5,6,3,2,4,7]=>011000=>000110 [6,5,1,4,2,3,7]=>[7,1,5,6,2,4,3]=>111000=>000111 [6,5,1,4,2,7,3]=>[1,5,6,2,4,3,7]=>011000=>000110 [6,5,1,4,3,2,7]=>[7,1,5,6,2,3,4]=>110000=>000011 [6,5,1,4,3,7,2]=>[1,5,6,3,4,2,7]=>011000=>000110 [6,5,1,4,7,2,3]=>[1,5,6,4,2,7,3]=>011100=>001110 [6,5,1,4,7,3,2]=>[1,5,6,4,2,3,7]=>010100=>001010 [6,5,1,7,2,3,4]=>[1,5,6,2,7,4,3]=>011100=>001110 [6,5,1,7,2,4,3]=>[1,5,6,2,7,3,4]=>011000=>000110 [6,5,1,7,3,2,4]=>[1,5,6,2,3,7,4]=>010100=>001010 [6,5,1,7,3,4,2]=>[1,5,6,3,7,2,4]=>011000=>000110 [6,5,1,7,4,2,3]=>[1,5,6,2,4,7,3]=>011000=>000110 [6,5,1,7,4,3,2]=>[1,5,6,2,3,4,7]=>010000=>000010 [6,5,2,1,3,4,7]=>[7,1,2,5,6,4,3]=>101100=>001101 [6,5,2,1,3,7,4]=>[1,2,5,6,4,7,3]=>001100=>001100 [6,5,2,1,4,3,7]=>[7,1,2,5,6,3,4]=>101000=>000101 [6,5,2,1,4,7,3]=>[1,2,5,6,4,3,7]=>001100=>001100 [6,5,2,1,7,3,4]=>[1,2,5,6,3,7,4]=>001100=>001100 [6,5,2,1,7,4,3]=>[1,2,5,6,3,4,7]=>001000=>000100 [6,5,2,3,1,4,7]=>[7,2,5,6,4,1,3]=>110100=>001011 [6,5,2,3,1,7,4]=>[2,5,6,4,7,1,3]=>100100=>001001 [6,5,2,3,4,1,7]=>[7,2,5,6,3,1,4]=>111000=>000111 [6,5,2,3,4,7,1]=>[2,5,6,4,3,1,7]=>101100=>001101 [6,5,2,3,7,1,4]=>[2,5,6,3,1,7,4]=>101100=>001101 [6,5,2,3,7,4,1]=>[2,5,6,3,1,4,7]=>101000=>000101 [6,5,2,4,1,3,7]=>[7,2,5,6,1,4,3]=>111000=>000111 [6,5,2,4,1,7,3]=>[2,5,6,1,4,3,7]=>101000=>000101 [6,5,2,4,3,1,7]=>[7,2,5,6,1,3,4]=>110000=>000011 [6,5,2,4,3,7,1]=>[2,5,6,3,4,1,7]=>101000=>000101 [6,5,2,4,7,1,3]=>[2,5,6,4,1,7,3]=>101100=>001101 [6,5,2,4,7,3,1]=>[2,5,6,4,1,3,7]=>100100=>001001 [6,5,2,7,1,3,4]=>[2,5,6,1,7,4,3]=>101100=>001101 [6,5,2,7,1,4,3]=>[2,5,6,1,7,3,4]=>101000=>000101 [6,5,2,7,3,1,4]=>[2,5,6,1,3,7,4]=>100100=>001001 [6,5,2,7,3,4,1]=>[2,5,6,3,7,1,4]=>101000=>000101 [6,5,2,7,4,1,3]=>[2,5,6,1,4,7,3]=>101000=>000101 [6,5,2,7,4,3,1]=>[2,5,6,1,3,4,7]=>100000=>000001 [6,5,3,1,2,4,7]=>[7,1,3,5,6,4,2]=>110100=>001011 [6,5,3,1,2,7,4]=>[1,3,5,6,4,7,2]=>010100=>001010 [6,5,3,1,4,2,7]=>[7,1,3,5,6,2,4]=>110000=>000011 [6,5,3,1,4,7,2]=>[1,3,5,6,4,2,7]=>010100=>001010 [6,5,3,1,7,2,4]=>[1,3,5,6,2,7,4]=>010100=>001010 [6,5,3,1,7,4,2]=>[1,3,5,6,2,4,7]=>010000=>000010 [6,5,3,2,1,4,7]=>[7,1,2,3,5,6,4]=>100100=>001001 [6,5,3,2,1,7,4]=>[1,2,3,5,6,4,7]=>000100=>001000 [6,5,3,2,4,1,7]=>[7,2,3,5,6,1,4]=>110000=>000011 [6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>100100=>001001 [6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]=>100100=>001001 [6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]=>100000=>000001 [6,5,3,4,1,2,7]=>[7,3,5,6,1,4,2]=>111000=>000111 [6,5,3,4,1,7,2]=>[3,5,6,1,4,2,7]=>110000=>000011 [6,5,3,4,2,1,7]=>[7,3,5,6,1,2,4]=>101000=>000101 [6,5,3,4,2,7,1]=>[3,5,6,2,4,1,7]=>110000=>000011 [6,5,3,4,7,1,2]=>[3,5,6,4,1,7,2]=>110100=>001011 [6,5,3,4,7,2,1]=>[3,5,6,4,1,2,7]=>100100=>001001 [6,5,3,7,1,2,4]=>[3,5,6,1,7,4,2]=>110100=>001011 [6,5,3,7,1,4,2]=>[3,5,6,1,7,2,4]=>110000=>000011 [6,5,3,7,2,1,4]=>[3,5,6,1,2,7,4]=>100100=>001001 [6,5,3,7,2,4,1]=>[3,5,6,2,7,1,4]=>110000=>000011 [6,5,3,7,4,1,2]=>[3,5,6,1,4,7,2]=>110000=>000011 [6,5,3,7,4,2,1]=>[3,5,6,1,2,4,7]=>100000=>000001 [6,5,4,1,2,3,7]=>[7,1,4,5,6,3,2]=>111000=>000111 [6,5,4,1,2,7,3]=>[1,4,5,6,3,7,2]=>011000=>000110 [6,5,4,1,3,2,7]=>[7,1,4,5,6,2,3]=>110000=>000011 [6,5,4,1,3,7,2]=>[1,4,5,6,3,2,7]=>011000=>000110 [6,5,4,1,7,2,3]=>[1,4,5,6,2,7,3]=>011000=>000110 [6,5,4,1,7,3,2]=>[1,4,5,6,2,3,7]=>010000=>000010 [6,5,4,2,1,3,7]=>[7,1,2,4,5,6,3]=>101000=>000101 [6,5,4,2,1,7,3]=>[1,2,4,5,6,3,7]=>001000=>000100 [6,5,4,2,3,1,7]=>[7,2,4,5,6,1,3]=>110000=>000011 [6,5,4,2,3,7,1]=>[2,4,5,6,3,1,7]=>101000=>000101 [6,5,4,2,7,1,3]=>[2,4,5,6,1,7,3]=>101000=>000101 [6,5,4,2,7,3,1]=>[2,4,5,6,1,3,7]=>100000=>000001 [6,5,4,3,1,2,7]=>[7,1,3,4,5,6,2]=>110000=>000011 [6,5,4,3,1,7,2]=>[1,3,4,5,6,2,7]=>010000=>000010 [6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>100000=>000001 [6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>100000=>000001 [6,5,4,3,7,1,2]=>[3,4,5,6,1,7,2]=>110000=>000011 [6,5,4,3,7,2,1]=>[3,4,5,6,1,2,7]=>100000=>000001 [6,5,4,7,1,2,3]=>[4,5,6,1,7,3,2]=>111000=>000111 [6,5,4,7,1,3,2]=>[4,5,6,1,7,2,3]=>110000=>000011 [6,5,4,7,2,1,3]=>[4,5,6,1,2,7,3]=>101000=>000101 [6,5,4,7,2,3,1]=>[4,5,6,2,7,1,3]=>110000=>000011 [6,5,4,7,3,1,2]=>[4,5,6,1,3,7,2]=>110000=>000011 [6,5,4,7,3,2,1]=>[4,5,6,1,2,3,7]=>100000=>000001 [6,5,7,1,2,3,4]=>[5,6,1,7,4,3,2]=>111100=>001111 [6,5,7,1,2,4,3]=>[5,6,1,7,3,4,2]=>111000=>000111 [6,5,7,1,3,2,4]=>[5,6,1,7,4,2,3]=>110100=>001011 [6,5,7,1,3,4,2]=>[5,6,1,7,3,2,4]=>111000=>000111 [6,5,7,1,4,2,3]=>[5,6,1,7,2,4,3]=>111000=>000111 [6,5,7,1,4,3,2]=>[5,6,1,7,2,3,4]=>110000=>000011 [6,5,7,2,1,3,4]=>[5,6,1,2,7,4,3]=>101100=>001101 [6,5,7,2,1,4,3]=>[5,6,1,2,7,3,4]=>101000=>000101 [6,5,7,2,3,1,4]=>[5,6,2,7,4,1,3]=>110100=>001011 [6,5,7,2,3,4,1]=>[5,6,2,7,3,1,4]=>111000=>000111 [6,5,7,2,4,1,3]=>[5,6,2,7,1,4,3]=>111000=>000111 [6,5,7,2,4,3,1]=>[5,6,2,7,1,3,4]=>110000=>000011 [6,5,7,3,1,2,4]=>[5,6,1,3,7,4,2]=>110100=>001011 [6,5,7,3,1,4,2]=>[5,6,1,3,7,2,4]=>110000=>000011 [6,5,7,3,2,1,4]=>[5,6,1,2,3,7,4]=>100100=>001001 [6,5,7,3,2,4,1]=>[5,6,2,3,7,1,4]=>110000=>000011 [6,5,7,3,4,1,2]=>[5,6,3,7,1,4,2]=>111000=>000111 [6,5,7,3,4,2,1]=>[5,6,3,7,1,2,4]=>101000=>000101 [6,5,7,4,1,2,3]=>[5,6,1,4,7,3,2]=>111000=>000111 [6,5,7,4,1,3,2]=>[5,6,1,4,7,2,3]=>110000=>000011 [6,5,7,4,2,1,3]=>[5,6,1,2,4,7,3]=>101000=>000101 [6,5,7,4,2,3,1]=>[5,6,2,4,7,1,3]=>110000=>000011 [6,5,7,4,3,1,2]=>[5,6,1,3,4,7,2]=>110000=>000011 [6,5,7,4,3,2,1]=>[5,6,1,2,3,4,7]=>100000=>000001 [6,7,1,2,3,4,5]=>[6,1,7,5,4,3,2]=>111110=>011111 [6,7,1,2,3,5,4]=>[6,1,7,4,5,3,2]=>111100=>001111 [6,7,1,2,4,3,5]=>[6,1,7,5,3,4,2]=>111010=>010111 [6,7,1,2,4,5,3]=>[6,1,7,4,3,5,2]=>111100=>001111 [6,7,1,2,5,3,4]=>[6,1,7,3,5,4,2]=>111100=>001111 [6,7,1,2,5,4,3]=>[6,1,7,3,4,5,2]=>111000=>000111 [6,7,1,3,2,4,5]=>[6,1,7,5,4,2,3]=>110110=>011011 [6,7,1,3,2,5,4]=>[6,1,7,4,5,2,3]=>110100=>001011 [6,7,1,3,4,2,5]=>[6,1,7,5,3,2,4]=>111010=>010111 [6,7,1,3,4,5,2]=>[6,1,7,4,3,2,5]=>111100=>001111 [6,7,1,3,5,2,4]=>[6,1,7,3,2,5,4]=>111100=>001111 [6,7,1,3,5,4,2]=>[6,1,7,3,2,4,5]=>111000=>000111 [6,7,1,4,2,3,5]=>[6,1,7,5,2,4,3]=>111010=>010111 [6,7,1,4,2,5,3]=>[6,1,7,2,4,3,5]=>111000=>000111 [6,7,1,4,3,2,5]=>[6,1,7,5,2,3,4]=>110010=>010011 [6,7,1,4,3,5,2]=>[6,1,7,3,4,2,5]=>111000=>000111 [6,7,1,4,5,2,3]=>[6,1,7,4,2,5,3]=>111100=>001111 [6,7,1,4,5,3,2]=>[6,1,7,4,2,3,5]=>110100=>001011 [6,7,1,5,2,3,4]=>[6,1,7,2,5,4,3]=>111100=>001111 [6,7,1,5,2,4,3]=>[6,1,7,2,5,3,4]=>111000=>000111 [6,7,1,5,3,2,4]=>[6,1,7,2,3,5,4]=>110100=>001011 [6,7,1,5,3,4,2]=>[6,1,7,3,5,2,4]=>111000=>000111 [6,7,1,5,4,2,3]=>[6,1,7,2,4,5,3]=>111000=>000111 [6,7,1,5,4,3,2]=>[6,1,7,2,3,4,5]=>110000=>000011 [6,7,2,1,3,4,5]=>[6,1,2,7,5,4,3]=>101110=>011101 [6,7,2,1,3,5,4]=>[6,1,2,7,4,5,3]=>101100=>001101 [6,7,2,1,4,3,5]=>[6,1,2,7,5,3,4]=>101010=>010101 [6,7,2,1,4,5,3]=>[6,1,2,7,4,3,5]=>101100=>001101 [6,7,2,1,5,3,4]=>[6,1,2,7,3,5,4]=>101100=>001101 [6,7,2,1,5,4,3]=>[6,1,2,7,3,4,5]=>101000=>000101 [6,7,2,3,1,4,5]=>[6,2,7,5,4,1,3]=>110110=>011011 [6,7,2,3,1,5,4]=>[6,2,7,4,5,1,3]=>110100=>001011 [6,7,2,3,4,1,5]=>[6,2,7,5,3,1,4]=>111010=>010111 [6,7,2,3,4,5,1]=>[6,2,7,4,3,1,5]=>111100=>001111 [6,7,2,3,5,1,4]=>[6,2,7,3,1,5,4]=>111100=>001111 [6,7,2,3,5,4,1]=>[6,2,7,3,1,4,5]=>111000=>000111 [6,7,2,4,1,3,5]=>[6,2,7,5,1,4,3]=>111010=>010111 [6,7,2,4,1,5,3]=>[6,2,7,1,4,3,5]=>111000=>000111 [6,7,2,4,3,1,5]=>[6,2,7,5,1,3,4]=>110010=>010011 [6,7,2,4,3,5,1]=>[6,2,7,3,4,1,5]=>111000=>000111 [6,7,2,4,5,1,3]=>[6,2,7,4,1,5,3]=>111100=>001111 [6,7,2,4,5,3,1]=>[6,2,7,4,1,3,5]=>110100=>001011 [6,7,2,5,1,3,4]=>[6,2,7,1,5,4,3]=>111100=>001111 [6,7,2,5,1,4,3]=>[6,2,7,1,5,3,4]=>111000=>000111 [6,7,2,5,3,1,4]=>[6,2,7,1,3,5,4]=>110100=>001011 [6,7,2,5,3,4,1]=>[6,2,7,3,5,1,4]=>111000=>000111 [6,7,2,5,4,1,3]=>[6,2,7,1,4,5,3]=>111000=>000111 [6,7,2,5,4,3,1]=>[6,2,7,1,3,4,5]=>110000=>000011 [6,7,3,1,2,4,5]=>[6,1,3,7,5,4,2]=>110110=>011011 [6,7,3,1,2,5,4]=>[6,1,3,7,4,5,2]=>110100=>001011 [6,7,3,1,4,2,5]=>[6,1,3,7,5,2,4]=>110010=>010011 [6,7,3,1,4,5,2]=>[6,1,3,7,4,2,5]=>110100=>001011 [6,7,3,1,5,2,4]=>[6,1,3,7,2,5,4]=>110100=>001011 [6,7,3,1,5,4,2]=>[6,1,3,7,2,4,5]=>110000=>000011 [6,7,3,2,1,4,5]=>[6,1,2,3,7,5,4]=>100110=>011001 [6,7,3,2,1,5,4]=>[6,1,2,3,7,4,5]=>100100=>001001 [6,7,3,2,4,1,5]=>[6,2,3,7,5,1,4]=>110010=>010011 [6,7,3,2,4,5,1]=>[6,2,3,7,4,1,5]=>110100=>001011 [6,7,3,2,5,1,4]=>[6,2,3,7,1,5,4]=>110100=>001011 [6,7,3,2,5,4,1]=>[6,2,3,7,1,4,5]=>110000=>000011 [6,7,3,4,1,2,5]=>[6,3,7,5,1,4,2]=>111010=>010111 [6,7,3,4,1,5,2]=>[6,3,7,1,4,2,5]=>111000=>000111 [6,7,3,4,2,1,5]=>[6,3,7,5,1,2,4]=>101010=>010101 [6,7,3,4,2,5,1]=>[6,3,7,2,4,1,5]=>111000=>000111 [6,7,3,4,5,1,2]=>[6,3,7,4,1,5,2]=>111100=>001111 [6,7,3,4,5,2,1]=>[6,3,7,4,1,2,5]=>101100=>001101 [6,7,3,5,1,2,4]=>[6,3,7,1,5,4,2]=>111100=>001111 [6,7,3,5,1,4,2]=>[6,3,7,1,5,2,4]=>111000=>000111 [6,7,3,5,2,1,4]=>[6,3,7,1,2,5,4]=>101100=>001101 [6,7,3,5,2,4,1]=>[6,3,7,2,5,1,4]=>111000=>000111 [6,7,3,5,4,1,2]=>[6,3,7,1,4,5,2]=>111000=>000111 [6,7,3,5,4,2,1]=>[6,3,7,1,2,4,5]=>101000=>000101 [6,7,4,1,2,3,5]=>[6,1,4,7,5,3,2]=>111010=>010111 [6,7,4,1,2,5,3]=>[6,1,4,7,3,5,2]=>111000=>000111 [6,7,4,1,3,2,5]=>[6,1,4,7,5,2,3]=>110010=>010011 [6,7,4,1,3,5,2]=>[6,1,4,7,3,2,5]=>111000=>000111 [6,7,4,1,5,2,3]=>[6,1,4,7,2,5,3]=>111000=>000111 [6,7,4,1,5,3,2]=>[6,1,4,7,2,3,5]=>110000=>000011 [6,7,4,2,1,3,5]=>[6,1,2,4,7,5,3]=>101010=>010101 [6,7,4,2,1,5,3]=>[6,1,2,4,7,3,5]=>101000=>000101 [6,7,4,2,3,1,5]=>[6,2,4,7,5,1,3]=>110010=>010011 [6,7,4,2,3,5,1]=>[6,2,4,7,3,1,5]=>111000=>000111 [6,7,4,2,5,1,3]=>[6,2,4,7,1,5,3]=>111000=>000111 [6,7,4,2,5,3,1]=>[6,2,4,7,1,3,5]=>110000=>000011 [6,7,4,3,1,2,5]=>[6,1,3,4,7,5,2]=>110010=>010011 [6,7,4,3,1,5,2]=>[6,1,3,4,7,2,5]=>110000=>000011 [6,7,4,3,2,1,5]=>[6,1,2,3,4,7,5]=>100010=>010001 [6,7,4,3,2,5,1]=>[6,2,3,4,7,1,5]=>110000=>000011 [6,7,4,3,5,1,2]=>[6,3,4,7,1,5,2]=>111000=>000111 [6,7,4,3,5,2,1]=>[6,3,4,7,1,2,5]=>101000=>000101 [6,7,4,5,1,2,3]=>[6,4,7,1,5,3,2]=>111100=>001111 [6,7,4,5,1,3,2]=>[6,4,7,1,5,2,3]=>110100=>001011 [6,7,4,5,2,1,3]=>[6,4,7,1,2,5,3]=>101100=>001101 [6,7,4,5,2,3,1]=>[6,4,7,2,5,1,3]=>110100=>001011 [6,7,4,5,3,1,2]=>[6,4,7,1,3,5,2]=>110100=>001011 [6,7,4,5,3,2,1]=>[6,4,7,1,2,3,5]=>100100=>001001 [6,7,5,1,2,3,4]=>[6,1,5,7,4,3,2]=>111100=>001111 [6,7,5,1,2,4,3]=>[6,1,5,7,3,4,2]=>111000=>000111 [6,7,5,1,3,2,4]=>[6,1,5,7,4,2,3]=>110100=>001011 [6,7,5,1,3,4,2]=>[6,1,5,7,3,2,4]=>111000=>000111 [6,7,5,1,4,2,3]=>[6,1,5,7,2,4,3]=>111000=>000111 [6,7,5,1,4,3,2]=>[6,1,5,7,2,3,4]=>110000=>000011 [6,7,5,2,1,3,4]=>[6,1,2,5,7,4,3]=>101100=>001101 [6,7,5,2,1,4,3]=>[6,1,2,5,7,3,4]=>101000=>000101 [6,7,5,2,3,1,4]=>[6,2,5,7,4,1,3]=>110100=>001011 [6,7,5,2,3,4,1]=>[6,2,5,7,3,1,4]=>111000=>000111 [6,7,5,2,4,1,3]=>[6,2,5,7,1,4,3]=>111000=>000111 [6,7,5,2,4,3,1]=>[6,2,5,7,1,3,4]=>110000=>000011 [6,7,5,3,1,2,4]=>[6,1,3,5,7,4,2]=>110100=>001011 [6,7,5,3,1,4,2]=>[6,1,3,5,7,2,4]=>110000=>000011 [6,7,5,3,2,1,4]=>[6,1,2,3,5,7,4]=>100100=>001001 [6,7,5,3,2,4,1]=>[6,2,3,5,7,1,4]=>110000=>000011 [6,7,5,3,4,1,2]=>[6,3,5,7,1,4,2]=>111000=>000111 [6,7,5,3,4,2,1]=>[6,3,5,7,1,2,4]=>101000=>000101 [6,7,5,4,1,2,3]=>[6,1,4,5,7,3,2]=>111000=>000111 [6,7,5,4,1,3,2]=>[6,1,4,5,7,2,3]=>110000=>000011 [6,7,5,4,2,1,3]=>[6,1,2,4,5,7,3]=>101000=>000101 [6,7,5,4,2,3,1]=>[6,2,4,5,7,1,3]=>110000=>000011 [6,7,5,4,3,1,2]=>[6,1,3,4,5,7,2]=>110000=>000011 [6,7,5,4,3,2,1]=>[6,1,2,3,4,5,7]=>100000=>000001 [7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>011111=>111110 [7,1,2,3,4,6,5]=>[1,7,5,6,4,3,2]=>011110=>011110 [7,1,2,3,5,4,6]=>[1,7,6,4,5,3,2]=>011101=>101110 [7,1,2,3,5,6,4]=>[1,7,5,4,6,3,2]=>011110=>011110 [7,1,2,3,6,4,5]=>[1,7,4,6,5,3,2]=>011110=>011110 [7,1,2,3,6,5,4]=>[1,7,4,5,6,3,2]=>011100=>001110 [7,1,2,4,3,5,6]=>[1,7,6,5,3,4,2]=>011011=>110110 [7,1,2,4,3,6,5]=>[1,7,5,6,3,4,2]=>011010=>010110 [7,1,2,4,5,3,6]=>[1,7,6,4,3,5,2]=>011101=>101110 [7,1,2,4,5,6,3]=>[1,7,5,4,3,6,2]=>011110=>011110 [7,1,2,4,6,3,5]=>[1,7,4,3,6,5,2]=>011110=>011110 [7,1,2,4,6,5,3]=>[1,7,4,3,5,6,2]=>011100=>001110 [7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>011101=>101110 [7,1,2,5,3,6,4]=>[1,7,3,5,4,6,2]=>011100=>001110 [7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>011001=>100110 [7,1,2,5,4,6,3]=>[1,7,4,5,3,6,2]=>011100=>001110 [7,1,2,5,6,3,4]=>[1,7,5,3,6,4,2]=>011110=>011110 [7,1,2,5,6,4,3]=>[1,7,5,3,4,6,2]=>011010=>010110 [7,1,2,6,3,4,5]=>[1,7,3,6,5,4,2]=>011110=>011110 [7,1,2,6,3,5,4]=>[1,7,3,6,4,5,2]=>011100=>001110 [7,1,2,6,4,3,5]=>[1,7,3,4,6,5,2]=>011010=>010110 [7,1,2,6,4,5,3]=>[1,7,4,6,3,5,2]=>011100=>001110 [7,1,2,6,5,3,4]=>[1,7,3,5,6,4,2]=>011100=>001110 [7,1,2,6,5,4,3]=>[1,7,3,4,5,6,2]=>011000=>000110 [7,1,3,2,4,5,6]=>[1,7,6,5,4,2,3]=>010111=>111010 [7,1,3,2,4,6,5]=>[1,7,5,6,4,2,3]=>010110=>011010 [7,1,3,2,5,4,6]=>[1,7,6,4,5,2,3]=>010101=>101010 [7,1,3,2,5,6,4]=>[1,7,5,4,6,2,3]=>010110=>011010 [7,1,3,2,6,4,5]=>[1,7,4,6,5,2,3]=>010110=>011010 [7,1,3,2,6,5,4]=>[1,7,4,5,6,2,3]=>010100=>001010 [7,1,3,4,2,5,6]=>[1,7,6,5,3,2,4]=>011011=>110110 [7,1,3,4,2,6,5]=>[1,7,5,6,3,2,4]=>011010=>010110 [7,1,3,4,5,2,6]=>[1,7,6,4,3,2,5]=>011101=>101110 [7,1,3,4,5,6,2]=>[1,7,5,4,3,2,6]=>011110=>011110 [7,1,3,4,6,2,5]=>[1,7,4,3,2,6,5]=>011110=>011110 [7,1,3,4,6,5,2]=>[1,7,4,3,2,5,6]=>011100=>001110 [7,1,3,5,2,4,6]=>[1,7,6,3,2,5,4]=>011101=>101110 [7,1,3,5,2,6,4]=>[1,7,3,2,5,4,6]=>011100=>001110 [7,1,3,5,4,2,6]=>[1,7,6,3,2,4,5]=>011001=>100110 [7,1,3,5,4,6,2]=>[1,7,4,5,3,2,6]=>011100=>001110 [7,1,3,5,6,2,4]=>[1,7,5,3,2,6,4]=>011110=>011110 [7,1,3,5,6,4,2]=>[1,7,5,3,2,4,6]=>011010=>010110 [7,1,3,6,2,4,5]=>[1,7,3,2,6,5,4]=>011110=>011110 [7,1,3,6,2,5,4]=>[1,7,3,2,6,4,5]=>011100=>001110 [7,1,3,6,4,2,5]=>[1,7,3,2,4,6,5]=>011010=>010110 [7,1,3,6,4,5,2]=>[1,7,4,6,3,2,5]=>011100=>001110 [7,1,3,6,5,2,4]=>[1,7,3,2,5,6,4]=>011100=>001110 [7,1,3,6,5,4,2]=>[1,7,3,2,4,5,6]=>011000=>000110 [7,1,4,2,3,5,6]=>[1,7,6,5,2,4,3]=>011011=>110110 [7,1,4,2,3,6,5]=>[1,7,5,6,2,4,3]=>011010=>010110 [7,1,4,2,5,3,6]=>[1,7,6,2,4,3,5]=>011001=>100110 [7,1,4,2,5,6,3]=>[1,7,5,2,4,3,6]=>011010=>010110 [7,1,4,2,6,3,5]=>[1,7,2,4,3,6,5]=>011010=>010110 [7,1,4,2,6,5,3]=>[1,7,2,4,3,5,6]=>011000=>000110 [7,1,4,3,2,5,6]=>[1,7,6,5,2,3,4]=>010011=>110010 [7,1,4,3,2,6,5]=>[1,7,5,6,2,3,4]=>010010=>010010 [7,1,4,3,5,2,6]=>[1,7,6,3,4,2,5]=>011001=>100110 [7,1,4,3,5,6,2]=>[1,7,5,3,4,2,6]=>011010=>010110 [7,1,4,3,6,2,5]=>[1,7,3,4,2,6,5]=>011010=>010110 [7,1,4,3,6,5,2]=>[1,7,3,4,2,5,6]=>011000=>000110 [7,1,4,5,2,3,6]=>[1,7,6,4,2,5,3]=>011101=>101110 [7,1,4,5,2,6,3]=>[1,7,4,2,5,3,6]=>011100=>001110 [7,1,4,5,3,2,6]=>[1,7,6,4,2,3,5]=>010101=>101010 [7,1,4,5,3,6,2]=>[1,7,4,3,5,2,6]=>011100=>001110 [7,1,4,5,6,2,3]=>[1,7,5,4,2,6,3]=>011110=>011110 [7,1,4,5,6,3,2]=>[1,7,5,4,2,3,6]=>010110=>011010 [7,1,4,6,2,3,5]=>[1,7,4,2,6,5,3]=>011110=>011110 [7,1,4,6,2,5,3]=>[1,7,4,2,6,3,5]=>011100=>001110 [7,1,4,6,3,2,5]=>[1,7,4,2,3,6,5]=>010110=>011010 [7,1,4,6,3,5,2]=>[1,7,4,3,6,2,5]=>011100=>001110 [7,1,4,6,5,2,3]=>[1,7,4,2,5,6,3]=>011100=>001110 [7,1,4,6,5,3,2]=>[1,7,4,2,3,5,6]=>010100=>001010 [7,1,5,2,3,4,6]=>[1,7,6,2,5,4,3]=>011101=>101110 [7,1,5,2,3,6,4]=>[1,7,2,5,4,6,3]=>011100=>001110 [7,1,5,2,4,3,6]=>[1,7,6,2,5,3,4]=>011001=>100110 [7,1,5,2,4,6,3]=>[1,7,2,5,4,3,6]=>011100=>001110 [7,1,5,2,6,3,4]=>[1,7,2,5,3,6,4]=>011100=>001110 [7,1,5,2,6,4,3]=>[1,7,2,5,3,4,6]=>011000=>000110 [7,1,5,3,2,4,6]=>[1,7,6,2,3,5,4]=>010101=>101010 [7,1,5,3,2,6,4]=>[1,7,2,3,5,4,6]=>010100=>001010 [7,1,5,3,4,2,6]=>[1,7,6,3,5,2,4]=>011001=>100110 [7,1,5,3,4,6,2]=>[1,7,3,5,4,2,6]=>011100=>001110 [7,1,5,3,6,2,4]=>[1,7,3,5,2,6,4]=>011100=>001110 [7,1,5,3,6,4,2]=>[1,7,3,5,2,4,6]=>011000=>000110 [7,1,5,4,2,3,6]=>[1,7,6,2,4,5,3]=>011001=>100110 [7,1,5,4,2,6,3]=>[1,7,2,4,5,3,6]=>011000=>000110 [7,1,5,4,3,2,6]=>[1,7,6,2,3,4,5]=>010001=>100010 [7,1,5,4,3,6,2]=>[1,7,3,4,5,2,6]=>011000=>000110 [7,1,5,4,6,2,3]=>[1,7,4,5,2,6,3]=>011100=>001110 [7,1,5,4,6,3,2]=>[1,7,4,5,2,3,6]=>010100=>001010 [7,1,5,6,2,3,4]=>[1,7,5,2,6,4,3]=>011110=>011110 [7,1,5,6,2,4,3]=>[1,7,5,2,6,3,4]=>011010=>010110 [7,1,5,6,3,2,4]=>[1,7,5,2,3,6,4]=>010110=>011010 [7,1,5,6,3,4,2]=>[1,7,5,3,6,2,4]=>011010=>010110 [7,1,5,6,4,2,3]=>[1,7,5,2,4,6,3]=>011010=>010110 [7,1,5,6,4,3,2]=>[1,7,5,2,3,4,6]=>010010=>010010 [7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>011110=>011110 [7,1,6,2,3,5,4]=>[1,7,2,6,4,5,3]=>011100=>001110 [7,1,6,2,4,3,5]=>[1,7,2,6,5,3,4]=>011010=>010110 [7,1,6,2,4,5,3]=>[1,7,2,6,4,3,5]=>011100=>001110 [7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>011100=>001110 [7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>011000=>000110 [7,1,6,3,2,4,5]=>[1,7,2,3,6,5,4]=>010110=>011010 [7,1,6,3,2,5,4]=>[1,7,2,3,6,4,5]=>010100=>001010 [7,1,6,3,4,2,5]=>[1,7,3,6,5,2,4]=>011010=>010110 [7,1,6,3,4,5,2]=>[1,7,3,6,4,2,5]=>011100=>001110 [7,1,6,3,5,2,4]=>[1,7,3,6,2,5,4]=>011100=>001110 [7,1,6,3,5,4,2]=>[1,7,3,6,2,4,5]=>011000=>000110 [7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>011010=>010110 [7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>011000=>000110 [7,1,6,4,3,2,5]=>[1,7,2,3,4,6,5]=>010010=>010010 [7,1,6,4,3,5,2]=>[1,7,3,4,6,2,5]=>011000=>000110 [7,1,6,4,5,2,3]=>[1,7,4,6,2,5,3]=>011100=>001110 [7,1,6,4,5,3,2]=>[1,7,4,6,2,3,5]=>010100=>001010 [7,1,6,5,2,3,4]=>[1,7,2,5,6,4,3]=>011100=>001110 [7,1,6,5,2,4,3]=>[1,7,2,5,6,3,4]=>011000=>000110 [7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>010100=>001010 [7,1,6,5,3,4,2]=>[1,7,3,5,6,2,4]=>011000=>000110 [7,1,6,5,4,2,3]=>[1,7,2,4,5,6,3]=>011000=>000110 [7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>010000=>000010 [7,2,1,3,4,5,6]=>[1,2,7,6,5,4,3]=>001111=>111100 [7,2,1,3,4,6,5]=>[1,2,7,5,6,4,3]=>001110=>011100 [7,2,1,3,5,4,6]=>[1,2,7,6,4,5,3]=>001101=>101100 [7,2,1,3,5,6,4]=>[1,2,7,5,4,6,3]=>001110=>011100 [7,2,1,3,6,4,5]=>[1,2,7,4,6,5,3]=>001110=>011100 [7,2,1,3,6,5,4]=>[1,2,7,4,5,6,3]=>001100=>001100 [7,2,1,4,3,5,6]=>[1,2,7,6,5,3,4]=>001011=>110100 [7,2,1,4,3,6,5]=>[1,2,7,5,6,3,4]=>001010=>010100 [7,2,1,4,5,3,6]=>[1,2,7,6,4,3,5]=>001101=>101100 [7,2,1,4,5,6,3]=>[1,2,7,5,4,3,6]=>001110=>011100 [7,2,1,4,6,3,5]=>[1,2,7,4,3,6,5]=>001110=>011100 [7,2,1,4,6,5,3]=>[1,2,7,4,3,5,6]=>001100=>001100 [7,2,1,5,3,4,6]=>[1,2,7,6,3,5,4]=>001101=>101100 [7,2,1,5,3,6,4]=>[1,2,7,3,5,4,6]=>001100=>001100 [7,2,1,5,4,3,6]=>[1,2,7,6,3,4,5]=>001001=>100100 [7,2,1,5,4,6,3]=>[1,2,7,4,5,3,6]=>001100=>001100 [7,2,1,5,6,3,4]=>[1,2,7,5,3,6,4]=>001110=>011100 [7,2,1,5,6,4,3]=>[1,2,7,5,3,4,6]=>001010=>010100 [7,2,1,6,3,4,5]=>[1,2,7,3,6,5,4]=>001110=>011100 [7,2,1,6,3,5,4]=>[1,2,7,3,6,4,5]=>001100=>001100 [7,2,1,6,4,3,5]=>[1,2,7,3,4,6,5]=>001010=>010100 [7,2,1,6,4,5,3]=>[1,2,7,4,6,3,5]=>001100=>001100 [7,2,1,6,5,3,4]=>[1,2,7,3,5,6,4]=>001100=>001100 [7,2,1,6,5,4,3]=>[1,2,7,3,4,5,6]=>001000=>000100 [7,2,3,1,4,5,6]=>[2,7,6,5,4,1,3]=>100111=>111001 [7,2,3,1,4,6,5]=>[2,7,5,6,4,1,3]=>100110=>011001 [7,2,3,1,5,4,6]=>[2,7,6,4,5,1,3]=>100101=>101001 [7,2,3,1,5,6,4]=>[2,7,5,4,6,1,3]=>100110=>011001 [7,2,3,1,6,4,5]=>[2,7,4,6,5,1,3]=>100110=>011001 [7,2,3,1,6,5,4]=>[2,7,4,5,6,1,3]=>100100=>001001 [7,2,3,4,1,5,6]=>[2,7,6,5,3,1,4]=>101011=>110101 [7,2,3,4,1,6,5]=>[2,7,5,6,3,1,4]=>101010=>010101 [7,2,3,4,5,1,6]=>[2,7,6,4,3,1,5]=>101101=>101101 [7,2,3,4,5,6,1]=>[2,7,5,4,3,1,6]=>101110=>011101 [7,2,3,4,6,1,5]=>[2,7,4,3,1,6,5]=>101110=>011101 [7,2,3,4,6,5,1]=>[2,7,4,3,1,5,6]=>101100=>001101 [7,2,3,5,1,4,6]=>[2,7,6,3,1,5,4]=>101101=>101101 [7,2,3,5,1,6,4]=>[2,7,3,1,5,4,6]=>101100=>001101 [7,2,3,5,4,1,6]=>[2,7,6,3,1,4,5]=>101001=>100101 [7,2,3,5,4,6,1]=>[2,7,4,5,3,1,6]=>101100=>001101 [7,2,3,5,6,1,4]=>[2,7,5,3,1,6,4]=>101110=>011101 [7,2,3,5,6,4,1]=>[2,7,5,3,1,4,6]=>101010=>010101 [7,2,3,6,1,4,5]=>[2,7,3,1,6,5,4]=>101110=>011101 [7,2,3,6,1,5,4]=>[2,7,3,1,6,4,5]=>101100=>001101 [7,2,3,6,4,1,5]=>[2,7,3,1,4,6,5]=>101010=>010101 [7,2,3,6,4,5,1]=>[2,7,4,6,3,1,5]=>101100=>001101 [7,2,3,6,5,1,4]=>[2,7,3,1,5,6,4]=>101100=>001101 [7,2,3,6,5,4,1]=>[2,7,3,1,4,5,6]=>101000=>000101 [7,2,4,1,3,5,6]=>[2,7,6,5,1,4,3]=>101011=>110101 [7,2,4,1,3,6,5]=>[2,7,5,6,1,4,3]=>101010=>010101 [7,2,4,1,5,3,6]=>[2,7,6,1,4,3,5]=>101001=>100101 [7,2,4,1,5,6,3]=>[2,7,5,1,4,3,6]=>101010=>010101 [7,2,4,1,6,3,5]=>[2,7,1,4,3,6,5]=>101010=>010101 [7,2,4,1,6,5,3]=>[2,7,1,4,3,5,6]=>101000=>000101 [7,2,4,3,1,5,6]=>[2,7,6,5,1,3,4]=>100011=>110001 [7,2,4,3,1,6,5]=>[2,7,5,6,1,3,4]=>100010=>010001 [7,2,4,3,5,1,6]=>[2,7,6,3,4,1,5]=>101001=>100101 [7,2,4,3,5,6,1]=>[2,7,5,3,4,1,6]=>101010=>010101 [7,2,4,3,6,1,5]=>[2,7,3,4,1,6,5]=>101010=>010101 [7,2,4,3,6,5,1]=>[2,7,3,4,1,5,6]=>101000=>000101 [7,2,4,5,1,3,6]=>[2,7,6,4,1,5,3]=>101101=>101101 [7,2,4,5,1,6,3]=>[2,7,4,1,5,3,6]=>101100=>001101 [7,2,4,5,3,1,6]=>[2,7,6,4,1,3,5]=>100101=>101001 [7,2,4,5,3,6,1]=>[2,7,4,3,5,1,6]=>101100=>001101 [7,2,4,5,6,1,3]=>[2,7,5,4,1,6,3]=>101110=>011101 [7,2,4,5,6,3,1]=>[2,7,5,4,1,3,6]=>100110=>011001 [7,2,4,6,1,3,5]=>[2,7,4,1,6,5,3]=>101110=>011101 [7,2,4,6,1,5,3]=>[2,7,4,1,6,3,5]=>101100=>001101 [7,2,4,6,3,1,5]=>[2,7,4,1,3,6,5]=>100110=>011001 [7,2,4,6,3,5,1]=>[2,7,4,3,6,1,5]=>101100=>001101 [7,2,4,6,5,1,3]=>[2,7,4,1,5,6,3]=>101100=>001101 [7,2,4,6,5,3,1]=>[2,7,4,1,3,5,6]=>100100=>001001 [7,2,5,1,3,4,6]=>[2,7,6,1,5,4,3]=>101101=>101101 [7,2,5,1,3,6,4]=>[2,7,1,5,4,6,3]=>101100=>001101 [7,2,5,1,4,3,6]=>[2,7,6,1,5,3,4]=>101001=>100101 [7,2,5,1,4,6,3]=>[2,7,1,5,4,3,6]=>101100=>001101 [7,2,5,1,6,3,4]=>[2,7,1,5,3,6,4]=>101100=>001101 [7,2,5,1,6,4,3]=>[2,7,1,5,3,4,6]=>101000=>000101 [7,2,5,3,1,4,6]=>[2,7,6,1,3,5,4]=>100101=>101001 [7,2,5,3,1,6,4]=>[2,7,1,3,5,4,6]=>100100=>001001 [7,2,5,3,4,1,6]=>[2,7,6,3,5,1,4]=>101001=>100101 [7,2,5,3,4,6,1]=>[2,7,3,5,4,1,6]=>101100=>001101 [7,2,5,3,6,1,4]=>[2,7,3,5,1,6,4]=>101100=>001101 [7,2,5,3,6,4,1]=>[2,7,3,5,1,4,6]=>101000=>000101 [7,2,5,4,1,3,6]=>[2,7,6,1,4,5,3]=>101001=>100101 [7,2,5,4,1,6,3]=>[2,7,1,4,5,3,6]=>101000=>000101 [7,2,5,4,3,1,6]=>[2,7,6,1,3,4,5]=>100001=>100001 [7,2,5,4,3,6,1]=>[2,7,3,4,5,1,6]=>101000=>000101 [7,2,5,4,6,1,3]=>[2,7,4,5,1,6,3]=>101100=>001101 [7,2,5,4,6,3,1]=>[2,7,4,5,1,3,6]=>100100=>001001 [7,2,5,6,1,3,4]=>[2,7,5,1,6,4,3]=>101110=>011101 [7,2,5,6,1,4,3]=>[2,7,5,1,6,3,4]=>101010=>010101 [7,2,5,6,3,1,4]=>[2,7,5,1,3,6,4]=>100110=>011001 [7,2,5,6,3,4,1]=>[2,7,5,3,6,1,4]=>101010=>010101 [7,2,5,6,4,1,3]=>[2,7,5,1,4,6,3]=>101010=>010101 [7,2,5,6,4,3,1]=>[2,7,5,1,3,4,6]=>100010=>010001 [7,2,6,1,3,4,5]=>[2,7,1,6,5,4,3]=>101110=>011101 [7,2,6,1,3,5,4]=>[2,7,1,6,4,5,3]=>101100=>001101 [7,2,6,1,4,3,5]=>[2,7,1,6,5,3,4]=>101010=>010101 [7,2,6,1,4,5,3]=>[2,7,1,6,4,3,5]=>101100=>001101 [7,2,6,1,5,3,4]=>[2,7,1,6,3,5,4]=>101100=>001101 [7,2,6,1,5,4,3]=>[2,7,1,6,3,4,5]=>101000=>000101 [7,2,6,3,1,4,5]=>[2,7,1,3,6,5,4]=>100110=>011001 [7,2,6,3,1,5,4]=>[2,7,1,3,6,4,5]=>100100=>001001 [7,2,6,3,4,1,5]=>[2,7,3,6,5,1,4]=>101010=>010101 [7,2,6,3,4,5,1]=>[2,7,3,6,4,1,5]=>101100=>001101 [7,2,6,3,5,1,4]=>[2,7,3,6,1,5,4]=>101100=>001101 [7,2,6,3,5,4,1]=>[2,7,3,6,1,4,5]=>101000=>000101 [7,2,6,4,1,3,5]=>[2,7,1,4,6,5,3]=>101010=>010101 [7,2,6,4,1,5,3]=>[2,7,1,4,6,3,5]=>101000=>000101 [7,2,6,4,3,1,5]=>[2,7,1,3,4,6,5]=>100010=>010001 [7,2,6,4,3,5,1]=>[2,7,3,4,6,1,5]=>101000=>000101 [7,2,6,4,5,1,3]=>[2,7,4,6,1,5,3]=>101100=>001101 [7,2,6,4,5,3,1]=>[2,7,4,6,1,3,5]=>100100=>001001 [7,2,6,5,1,3,4]=>[2,7,1,5,6,4,3]=>101100=>001101 [7,2,6,5,1,4,3]=>[2,7,1,5,6,3,4]=>101000=>000101 [7,2,6,5,3,1,4]=>[2,7,1,3,5,6,4]=>100100=>001001 [7,2,6,5,3,4,1]=>[2,7,3,5,6,1,4]=>101000=>000101 [7,2,6,5,4,1,3]=>[2,7,1,4,5,6,3]=>101000=>000101 [7,2,6,5,4,3,1]=>[2,7,1,3,4,5,6]=>100000=>000001 [7,3,1,2,4,5,6]=>[1,3,7,6,5,4,2]=>010111=>111010 [7,3,1,2,4,6,5]=>[1,3,7,5,6,4,2]=>010110=>011010 [7,3,1,2,5,4,6]=>[1,3,7,6,4,5,2]=>010101=>101010 [7,3,1,2,5,6,4]=>[1,3,7,5,4,6,2]=>010110=>011010 [7,3,1,2,6,4,5]=>[1,3,7,4,6,5,2]=>010110=>011010 [7,3,1,2,6,5,4]=>[1,3,7,4,5,6,2]=>010100=>001010 [7,3,1,4,2,5,6]=>[1,3,7,6,5,2,4]=>010011=>110010 [7,3,1,4,2,6,5]=>[1,3,7,5,6,2,4]=>010010=>010010 [7,3,1,4,5,2,6]=>[1,3,7,6,4,2,5]=>010101=>101010 [7,3,1,4,5,6,2]=>[1,3,7,5,4,2,6]=>010110=>011010 [7,3,1,4,6,2,5]=>[1,3,7,4,2,6,5]=>010110=>011010 [7,3,1,4,6,5,2]=>[1,3,7,4,2,5,6]=>010100=>001010 [7,3,1,5,2,4,6]=>[1,3,7,6,2,5,4]=>010101=>101010 [7,3,1,5,2,6,4]=>[1,3,7,2,5,4,6]=>010100=>001010 [7,3,1,5,4,2,6]=>[1,3,7,6,2,4,5]=>010001=>100010 [7,3,1,5,4,6,2]=>[1,3,7,4,5,2,6]=>010100=>001010 [7,3,1,5,6,2,4]=>[1,3,7,5,2,6,4]=>010110=>011010 [7,3,1,5,6,4,2]=>[1,3,7,5,2,4,6]=>010010=>010010 [7,3,1,6,2,4,5]=>[1,3,7,2,6,5,4]=>010110=>011010 [7,3,1,6,2,5,4]=>[1,3,7,2,6,4,5]=>010100=>001010 [7,3,1,6,4,2,5]=>[1,3,7,2,4,6,5]=>010010=>010010 [7,3,1,6,4,5,2]=>[1,3,7,4,6,2,5]=>010100=>001010 [7,3,1,6,5,2,4]=>[1,3,7,2,5,6,4]=>010100=>001010 [7,3,1,6,5,4,2]=>[1,3,7,2,4,5,6]=>010000=>000010 [7,3,2,1,4,5,6]=>[1,2,3,7,6,5,4]=>000111=>111000 [7,3,2,1,4,6,5]=>[1,2,3,7,5,6,4]=>000110=>011000 [7,3,2,1,5,4,6]=>[1,2,3,7,6,4,5]=>000101=>101000 [7,3,2,1,5,6,4]=>[1,2,3,7,5,4,6]=>000110=>011000 [7,3,2,1,6,4,5]=>[1,2,3,7,4,6,5]=>000110=>011000 [7,3,2,1,6,5,4]=>[1,2,3,7,4,5,6]=>000100=>001000 [7,3,2,4,1,5,6]=>[2,3,7,6,5,1,4]=>100011=>110001 [7,3,2,4,1,6,5]=>[2,3,7,5,6,1,4]=>100010=>010001 [7,3,2,4,5,1,6]=>[2,3,7,6,4,1,5]=>100101=>101001 [7,3,2,4,5,6,1]=>[2,3,7,5,4,1,6]=>100110=>011001 [7,3,2,4,6,1,5]=>[2,3,7,4,1,6,5]=>100110=>011001 [7,3,2,4,6,5,1]=>[2,3,7,4,1,5,6]=>100100=>001001 [7,3,2,5,1,4,6]=>[2,3,7,6,1,5,4]=>100101=>101001 [7,3,2,5,1,6,4]=>[2,3,7,1,5,4,6]=>100100=>001001 [7,3,2,5,4,1,6]=>[2,3,7,6,1,4,5]=>100001=>100001 [7,3,2,5,4,6,1]=>[2,3,7,4,5,1,6]=>100100=>001001 [7,3,2,5,6,1,4]=>[2,3,7,5,1,6,4]=>100110=>011001 [7,3,2,5,6,4,1]=>[2,3,7,5,1,4,6]=>100010=>010001 [7,3,2,6,1,4,5]=>[2,3,7,1,6,5,4]=>100110=>011001 [7,3,2,6,1,5,4]=>[2,3,7,1,6,4,5]=>100100=>001001 [7,3,2,6,4,1,5]=>[2,3,7,1,4,6,5]=>100010=>010001 [7,3,2,6,4,5,1]=>[2,3,7,4,6,1,5]=>100100=>001001 [7,3,2,6,5,1,4]=>[2,3,7,1,5,6,4]=>100100=>001001 [7,3,2,6,5,4,1]=>[2,3,7,1,4,5,6]=>100000=>000001 [7,3,4,1,2,5,6]=>[3,7,6,5,1,4,2]=>110011=>110011 [7,3,4,1,2,6,5]=>[3,7,5,6,1,4,2]=>110010=>010011 [7,3,4,1,5,2,6]=>[3,7,6,1,4,2,5]=>110001=>100011 [7,3,4,1,5,6,2]=>[3,7,5,1,4,2,6]=>110010=>010011 [7,3,4,1,6,2,5]=>[3,7,1,4,2,6,5]=>110010=>010011 [7,3,4,1,6,5,2]=>[3,7,1,4,2,5,6]=>110000=>000011 [7,3,4,2,1,5,6]=>[3,7,6,5,1,2,4]=>100011=>110001 [7,3,4,2,1,6,5]=>[3,7,5,6,1,2,4]=>100010=>010001 [7,3,4,2,5,1,6]=>[3,7,6,2,4,1,5]=>110001=>100011 [7,3,4,2,5,6,1]=>[3,7,5,2,4,1,6]=>110010=>010011 [7,3,4,2,6,1,5]=>[3,7,2,4,1,6,5]=>110010=>010011 [7,3,4,2,6,5,1]=>[3,7,2,4,1,5,6]=>110000=>000011 [7,3,4,5,1,2,6]=>[3,7,6,4,1,5,2]=>110101=>101011 [7,3,4,5,1,6,2]=>[3,7,4,1,5,2,6]=>110100=>001011 [7,3,4,5,2,1,6]=>[3,7,6,4,1,2,5]=>100101=>101001 [7,3,4,5,2,6,1]=>[3,7,4,2,5,1,6]=>110100=>001011 [7,3,4,5,6,1,2]=>[3,7,5,4,1,6,2]=>110110=>011011 [7,3,4,5,6,2,1]=>[3,7,5,4,1,2,6]=>100110=>011001 [7,3,4,6,1,2,5]=>[3,7,4,1,6,5,2]=>110110=>011011 [7,3,4,6,1,5,2]=>[3,7,4,1,6,2,5]=>110100=>001011 [7,3,4,6,2,1,5]=>[3,7,4,1,2,6,5]=>100110=>011001 [7,3,4,6,2,5,1]=>[3,7,4,2,6,1,5]=>110100=>001011 [7,3,4,6,5,1,2]=>[3,7,4,1,5,6,2]=>110100=>001011 [7,3,4,6,5,2,1]=>[3,7,4,1,2,5,6]=>100100=>001001 [7,3,5,1,2,4,6]=>[3,7,6,1,5,4,2]=>110101=>101011 [7,3,5,1,2,6,4]=>[3,7,1,5,4,6,2]=>110100=>001011 [7,3,5,1,4,2,6]=>[3,7,6,1,5,2,4]=>110001=>100011 [7,3,5,1,4,6,2]=>[3,7,1,5,4,2,6]=>110100=>001011 [7,3,5,1,6,2,4]=>[3,7,1,5,2,6,4]=>110100=>001011 [7,3,5,1,6,4,2]=>[3,7,1,5,2,4,6]=>110000=>000011 [7,3,5,2,1,4,6]=>[3,7,6,1,2,5,4]=>100101=>101001 [7,3,5,2,1,6,4]=>[3,7,1,2,5,4,6]=>100100=>001001 [7,3,5,2,4,1,6]=>[3,7,6,2,5,1,4]=>110001=>100011 [7,3,5,2,4,6,1]=>[3,7,2,5,4,1,6]=>110100=>001011 [7,3,5,2,6,1,4]=>[3,7,2,5,1,6,4]=>110100=>001011 [7,3,5,2,6,4,1]=>[3,7,2,5,1,4,6]=>110000=>000011 [7,3,5,4,1,2,6]=>[3,7,6,1,4,5,2]=>110001=>100011 [7,3,5,4,1,6,2]=>[3,7,1,4,5,2,6]=>110000=>000011 [7,3,5,4,2,1,6]=>[3,7,6,1,2,4,5]=>100001=>100001 [7,3,5,4,2,6,1]=>[3,7,2,4,5,1,6]=>110000=>000011 [7,3,5,4,6,1,2]=>[3,7,4,5,1,6,2]=>110100=>001011 [7,3,5,4,6,2,1]=>[3,7,4,5,1,2,6]=>100100=>001001 [7,3,5,6,1,2,4]=>[3,7,5,1,6,4,2]=>110110=>011011 [7,3,5,6,1,4,2]=>[3,7,5,1,6,2,4]=>110010=>010011 [7,3,5,6,2,1,4]=>[3,7,5,1,2,6,4]=>100110=>011001 [7,3,5,6,2,4,1]=>[3,7,5,2,6,1,4]=>110010=>010011 [7,3,5,6,4,1,2]=>[3,7,5,1,4,6,2]=>110010=>010011 [7,3,5,6,4,2,1]=>[3,7,5,1,2,4,6]=>100010=>010001 [7,3,6,1,2,4,5]=>[3,7,1,6,5,4,2]=>110110=>011011 [7,3,6,1,2,5,4]=>[3,7,1,6,4,5,2]=>110100=>001011 [7,3,6,1,4,2,5]=>[3,7,1,6,5,2,4]=>110010=>010011 [7,3,6,1,4,5,2]=>[3,7,1,6,4,2,5]=>110100=>001011 [7,3,6,1,5,2,4]=>[3,7,1,6,2,5,4]=>110100=>001011 [7,3,6,1,5,4,2]=>[3,7,1,6,2,4,5]=>110000=>000011 [7,3,6,2,1,4,5]=>[3,7,1,2,6,5,4]=>100110=>011001 [7,3,6,2,1,5,4]=>[3,7,1,2,6,4,5]=>100100=>001001 [7,3,6,2,4,1,5]=>[3,7,2,6,5,1,4]=>110010=>010011 [7,3,6,2,4,5,1]=>[3,7,2,6,4,1,5]=>110100=>001011 [7,3,6,2,5,1,4]=>[3,7,2,6,1,5,4]=>110100=>001011 [7,3,6,2,5,4,1]=>[3,7,2,6,1,4,5]=>110000=>000011 [7,3,6,4,1,2,5]=>[3,7,1,4,6,5,2]=>110010=>010011 [7,3,6,4,1,5,2]=>[3,7,1,4,6,2,5]=>110000=>000011 [7,3,6,4,2,1,5]=>[3,7,1,2,4,6,5]=>100010=>010001 [7,3,6,4,2,5,1]=>[3,7,2,4,6,1,5]=>110000=>000011 [7,3,6,4,5,1,2]=>[3,7,4,6,1,5,2]=>110100=>001011 [7,3,6,4,5,2,1]=>[3,7,4,6,1,2,5]=>100100=>001001 [7,3,6,5,1,2,4]=>[3,7,1,5,6,4,2]=>110100=>001011 [7,3,6,5,1,4,2]=>[3,7,1,5,6,2,4]=>110000=>000011 [7,3,6,5,2,1,4]=>[3,7,1,2,5,6,4]=>100100=>001001 [7,3,6,5,2,4,1]=>[3,7,2,5,6,1,4]=>110000=>000011 [7,3,6,5,4,1,2]=>[3,7,1,4,5,6,2]=>110000=>000011 [7,3,6,5,4,2,1]=>[3,7,1,2,4,5,6]=>100000=>000001 [7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>011011=>110110 [7,4,1,2,3,6,5]=>[1,4,7,5,6,3,2]=>011010=>010110 [7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]=>011001=>100110 [7,4,1,2,5,6,3]=>[1,4,7,5,3,6,2]=>011010=>010110 [7,4,1,2,6,3,5]=>[1,4,7,3,6,5,2]=>011010=>010110 [7,4,1,2,6,5,3]=>[1,4,7,3,5,6,2]=>011000=>000110 [7,4,1,3,2,5,6]=>[1,4,7,6,5,2,3]=>010011=>110010 [7,4,1,3,2,6,5]=>[1,4,7,5,6,2,3]=>010010=>010010 [7,4,1,3,5,2,6]=>[1,4,7,6,3,2,5]=>011001=>100110 [7,4,1,3,5,6,2]=>[1,4,7,5,3,2,6]=>011010=>010110 [7,4,1,3,6,2,5]=>[1,4,7,3,2,6,5]=>011010=>010110 [7,4,1,3,6,5,2]=>[1,4,7,3,2,5,6]=>011000=>000110 [7,4,1,5,2,3,6]=>[1,4,7,6,2,5,3]=>011001=>100110 [7,4,1,5,2,6,3]=>[1,4,7,2,5,3,6]=>011000=>000110 [7,4,1,5,3,2,6]=>[1,4,7,6,2,3,5]=>010001=>100010 [7,4,1,5,3,6,2]=>[1,4,7,3,5,2,6]=>011000=>000110 [7,4,1,5,6,2,3]=>[1,4,7,5,2,6,3]=>011010=>010110 [7,4,1,5,6,3,2]=>[1,4,7,5,2,3,6]=>010010=>010010 [7,4,1,6,2,3,5]=>[1,4,7,2,6,5,3]=>011010=>010110 [7,4,1,6,2,5,3]=>[1,4,7,2,6,3,5]=>011000=>000110 [7,4,1,6,3,2,5]=>[1,4,7,2,3,6,5]=>010010=>010010 [7,4,1,6,3,5,2]=>[1,4,7,3,6,2,5]=>011000=>000110 [7,4,1,6,5,2,3]=>[1,4,7,2,5,6,3]=>011000=>000110 [7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]=>010000=>000010 [7,4,2,1,3,5,6]=>[1,2,4,7,6,5,3]=>001011=>110100 [7,4,2,1,3,6,5]=>[1,2,4,7,5,6,3]=>001010=>010100 [7,4,2,1,5,3,6]=>[1,2,4,7,6,3,5]=>001001=>100100 [7,4,2,1,5,6,3]=>[1,2,4,7,5,3,6]=>001010=>010100 [7,4,2,1,6,3,5]=>[1,2,4,7,3,6,5]=>001010=>010100 [7,4,2,1,6,5,3]=>[1,2,4,7,3,5,6]=>001000=>000100 [7,4,2,3,1,5,6]=>[2,4,7,6,5,1,3]=>100011=>110001 [7,4,2,3,1,6,5]=>[2,4,7,5,6,1,3]=>100010=>010001 [7,4,2,3,5,1,6]=>[2,4,7,6,3,1,5]=>101001=>100101 [7,4,2,3,5,6,1]=>[2,4,7,5,3,1,6]=>101010=>010101 [7,4,2,3,6,1,5]=>[2,4,7,3,1,6,5]=>101010=>010101 [7,4,2,3,6,5,1]=>[2,4,7,3,1,5,6]=>101000=>000101 [7,4,2,5,1,3,6]=>[2,4,7,6,1,5,3]=>101001=>100101 [7,4,2,5,1,6,3]=>[2,4,7,1,5,3,6]=>101000=>000101 [7,4,2,5,3,1,6]=>[2,4,7,6,1,3,5]=>100001=>100001 [7,4,2,5,3,6,1]=>[2,4,7,3,5,1,6]=>101000=>000101 [7,4,2,5,6,1,3]=>[2,4,7,5,1,6,3]=>101010=>010101 [7,4,2,5,6,3,1]=>[2,4,7,5,1,3,6]=>100010=>010001 [7,4,2,6,1,3,5]=>[2,4,7,1,6,5,3]=>101010=>010101 [7,4,2,6,1,5,3]=>[2,4,7,1,6,3,5]=>101000=>000101 [7,4,2,6,3,1,5]=>[2,4,7,1,3,6,5]=>100010=>010001 [7,4,2,6,3,5,1]=>[2,4,7,3,6,1,5]=>101000=>000101 [7,4,2,6,5,1,3]=>[2,4,7,1,5,6,3]=>101000=>000101 [7,4,2,6,5,3,1]=>[2,4,7,1,3,5,6]=>100000=>000001 [7,4,3,1,2,5,6]=>[1,3,4,7,6,5,2]=>010011=>110010 [7,4,3,1,2,6,5]=>[1,3,4,7,5,6,2]=>010010=>010010 [7,4,3,1,5,2,6]=>[1,3,4,7,6,2,5]=>010001=>100010 [7,4,3,1,5,6,2]=>[1,3,4,7,5,2,6]=>010010=>010010 [7,4,3,1,6,2,5]=>[1,3,4,7,2,6,5]=>010010=>010010 [7,4,3,1,6,5,2]=>[1,3,4,7,2,5,6]=>010000=>000010 [7,4,3,2,1,5,6]=>[1,2,3,4,7,6,5]=>000011=>110000 [7,4,3,2,1,6,5]=>[1,2,3,4,7,5,6]=>000010=>010000 [7,4,3,2,5,1,6]=>[2,3,4,7,6,1,5]=>100001=>100001 [7,4,3,2,5,6,1]=>[2,3,4,7,5,1,6]=>100010=>010001 [7,4,3,2,6,1,5]=>[2,3,4,7,1,6,5]=>100010=>010001 [7,4,3,2,6,5,1]=>[2,3,4,7,1,5,6]=>100000=>000001 [7,4,3,5,1,2,6]=>[3,4,7,6,1,5,2]=>110001=>100011 [7,4,3,5,1,6,2]=>[3,4,7,1,5,2,6]=>110000=>000011 [7,4,3,5,2,1,6]=>[3,4,7,6,1,2,5]=>100001=>100001 [7,4,3,5,2,6,1]=>[3,4,7,2,5,1,6]=>110000=>000011 [7,4,3,5,6,1,2]=>[3,4,7,5,1,6,2]=>110010=>010011 [7,4,3,5,6,2,1]=>[3,4,7,5,1,2,6]=>100010=>010001 [7,4,3,6,1,2,5]=>[3,4,7,1,6,5,2]=>110010=>010011 [7,4,3,6,1,5,2]=>[3,4,7,1,6,2,5]=>110000=>000011 [7,4,3,6,2,1,5]=>[3,4,7,1,2,6,5]=>100010=>010001 [7,4,3,6,2,5,1]=>[3,4,7,2,6,1,5]=>110000=>000011 [7,4,3,6,5,1,2]=>[3,4,7,1,5,6,2]=>110000=>000011 [7,4,3,6,5,2,1]=>[3,4,7,1,2,5,6]=>100000=>000001 [7,4,5,1,2,3,6]=>[4,7,6,1,5,3,2]=>111001=>100111 [7,4,5,1,2,6,3]=>[4,7,1,5,3,6,2]=>111000=>000111 [7,4,5,1,3,2,6]=>[4,7,6,1,5,2,3]=>110001=>100011 [7,4,5,1,3,6,2]=>[4,7,1,5,3,2,6]=>111000=>000111 [7,4,5,1,6,2,3]=>[4,7,1,5,2,6,3]=>111000=>000111 [7,4,5,1,6,3,2]=>[4,7,1,5,2,3,6]=>110000=>000011 [7,4,5,2,1,3,6]=>[4,7,6,1,2,5,3]=>101001=>100101 [7,4,5,2,1,6,3]=>[4,7,1,2,5,3,6]=>101000=>000101 [7,4,5,2,3,1,6]=>[4,7,6,2,5,1,3]=>110001=>100011 [7,4,5,2,3,6,1]=>[4,7,2,5,3,1,6]=>111000=>000111 [7,4,5,2,6,1,3]=>[4,7,2,5,1,6,3]=>111000=>000111 [7,4,5,2,6,3,1]=>[4,7,2,5,1,3,6]=>110000=>000011 [7,4,5,3,1,2,6]=>[4,7,6,1,3,5,2]=>110001=>100011 [7,4,5,3,1,6,2]=>[4,7,1,3,5,2,6]=>110000=>000011 [7,4,5,3,2,1,6]=>[4,7,6,1,2,3,5]=>100001=>100001 [7,4,5,3,2,6,1]=>[4,7,2,3,5,1,6]=>110000=>000011 [7,4,5,3,6,1,2]=>[4,7,3,5,1,6,2]=>111000=>000111 [7,4,5,3,6,2,1]=>[4,7,3,5,1,2,6]=>101000=>000101 [7,4,5,6,1,2,3]=>[4,7,5,1,6,3,2]=>111010=>010111 [7,4,5,6,1,3,2]=>[4,7,5,1,6,2,3]=>110010=>010011 [7,4,5,6,2,1,3]=>[4,7,5,1,2,6,3]=>101010=>010101 [7,4,5,6,2,3,1]=>[4,7,5,2,6,1,3]=>110010=>010011 [7,4,5,6,3,1,2]=>[4,7,5,1,3,6,2]=>110010=>010011 [7,4,5,6,3,2,1]=>[4,7,5,1,2,3,6]=>100010=>010001 [7,4,6,1,2,3,5]=>[4,7,1,6,5,3,2]=>111010=>010111 [7,4,6,1,2,5,3]=>[4,7,1,6,3,5,2]=>111000=>000111 [7,4,6,1,3,2,5]=>[4,7,1,6,5,2,3]=>110010=>010011 [7,4,6,1,3,5,2]=>[4,7,1,6,3,2,5]=>111000=>000111 [7,4,6,1,5,2,3]=>[4,7,1,6,2,5,3]=>111000=>000111 [7,4,6,1,5,3,2]=>[4,7,1,6,2,3,5]=>110000=>000011 [7,4,6,2,1,3,5]=>[4,7,1,2,6,5,3]=>101010=>010101 [7,4,6,2,1,5,3]=>[4,7,1,2,6,3,5]=>101000=>000101 [7,4,6,2,3,1,5]=>[4,7,2,6,5,1,3]=>110010=>010011 [7,4,6,2,3,5,1]=>[4,7,2,6,3,1,5]=>111000=>000111 [7,4,6,2,5,1,3]=>[4,7,2,6,1,5,3]=>111000=>000111 [7,4,6,2,5,3,1]=>[4,7,2,6,1,3,5]=>110000=>000011 [7,4,6,3,1,2,5]=>[4,7,1,3,6,5,2]=>110010=>010011 [7,4,6,3,1,5,2]=>[4,7,1,3,6,2,5]=>110000=>000011 [7,4,6,3,2,1,5]=>[4,7,1,2,3,6,5]=>100010=>010001 [7,4,6,3,2,5,1]=>[4,7,2,3,6,1,5]=>110000=>000011 [7,4,6,3,5,1,2]=>[4,7,3,6,1,5,2]=>111000=>000111 [7,4,6,3,5,2,1]=>[4,7,3,6,1,2,5]=>101000=>000101 [7,4,6,5,1,2,3]=>[4,7,1,5,6,3,2]=>111000=>000111 [7,4,6,5,1,3,2]=>[4,7,1,5,6,2,3]=>110000=>000011 [7,4,6,5,2,1,3]=>[4,7,1,2,5,6,3]=>101000=>000101 [7,4,6,5,2,3,1]=>[4,7,2,5,6,1,3]=>110000=>000011 [7,4,6,5,3,1,2]=>[4,7,1,3,5,6,2]=>110000=>000011 [7,4,6,5,3,2,1]=>[4,7,1,2,3,5,6]=>100000=>000001 [7,5,1,2,3,4,6]=>[1,5,7,6,4,3,2]=>011101=>101110 [7,5,1,2,3,6,4]=>[1,5,7,4,6,3,2]=>011100=>001110 [7,5,1,2,4,3,6]=>[1,5,7,6,3,4,2]=>011001=>100110 [7,5,1,2,4,6,3]=>[1,5,7,4,3,6,2]=>011100=>001110 [7,5,1,2,6,3,4]=>[1,5,7,3,6,4,2]=>011100=>001110 [7,5,1,2,6,4,3]=>[1,5,7,3,4,6,2]=>011000=>000110 [7,5,1,3,2,4,6]=>[1,5,7,6,4,2,3]=>010101=>101010 [7,5,1,3,2,6,4]=>[1,5,7,4,6,2,3]=>010100=>001010 [7,5,1,3,4,2,6]=>[1,5,7,6,3,2,4]=>011001=>100110 [7,5,1,3,4,6,2]=>[1,5,7,4,3,2,6]=>011100=>001110 [7,5,1,3,6,2,4]=>[1,5,7,3,2,6,4]=>011100=>001110 [7,5,1,3,6,4,2]=>[1,5,7,3,2,4,6]=>011000=>000110 [7,5,1,4,2,3,6]=>[1,5,7,6,2,4,3]=>011001=>100110 [7,5,1,4,2,6,3]=>[1,5,7,2,4,3,6]=>011000=>000110 [7,5,1,4,3,2,6]=>[1,5,7,6,2,3,4]=>010001=>100010 [7,5,1,4,3,6,2]=>[1,5,7,3,4,2,6]=>011000=>000110 [7,5,1,4,6,2,3]=>[1,5,7,4,2,6,3]=>011100=>001110 [7,5,1,4,6,3,2]=>[1,5,7,4,2,3,6]=>010100=>001010 [7,5,1,6,2,3,4]=>[1,5,7,2,6,4,3]=>011100=>001110 [7,5,1,6,2,4,3]=>[1,5,7,2,6,3,4]=>011000=>000110 [7,5,1,6,3,2,4]=>[1,5,7,2,3,6,4]=>010100=>001010 [7,5,1,6,3,4,2]=>[1,5,7,3,6,2,4]=>011000=>000110 [7,5,1,6,4,2,3]=>[1,5,7,2,4,6,3]=>011000=>000110 [7,5,1,6,4,3,2]=>[1,5,7,2,3,4,6]=>010000=>000010 [7,5,2,1,3,4,6]=>[1,2,5,7,6,4,3]=>001101=>101100 [7,5,2,1,3,6,4]=>[1,2,5,7,4,6,3]=>001100=>001100 [7,5,2,1,4,3,6]=>[1,2,5,7,6,3,4]=>001001=>100100 [7,5,2,1,4,6,3]=>[1,2,5,7,4,3,6]=>001100=>001100 [7,5,2,1,6,3,4]=>[1,2,5,7,3,6,4]=>001100=>001100 [7,5,2,1,6,4,3]=>[1,2,5,7,3,4,6]=>001000=>000100 [7,5,2,3,1,4,6]=>[2,5,7,6,4,1,3]=>100101=>101001 [7,5,2,3,1,6,4]=>[2,5,7,4,6,1,3]=>100100=>001001 [7,5,2,3,4,1,6]=>[2,5,7,6,3,1,4]=>101001=>100101 [7,5,2,3,4,6,1]=>[2,5,7,4,3,1,6]=>101100=>001101 [7,5,2,3,6,1,4]=>[2,5,7,3,1,6,4]=>101100=>001101 [7,5,2,3,6,4,1]=>[2,5,7,3,1,4,6]=>101000=>000101 [7,5,2,4,1,3,6]=>[2,5,7,6,1,4,3]=>101001=>100101 [7,5,2,4,1,6,3]=>[2,5,7,1,4,3,6]=>101000=>000101 [7,5,2,4,3,1,6]=>[2,5,7,6,1,3,4]=>100001=>100001 [7,5,2,4,3,6,1]=>[2,5,7,3,4,1,6]=>101000=>000101 [7,5,2,4,6,1,3]=>[2,5,7,4,1,6,3]=>101100=>001101 [7,5,2,4,6,3,1]=>[2,5,7,4,1,3,6]=>100100=>001001 [7,5,2,6,1,3,4]=>[2,5,7,1,6,4,3]=>101100=>001101 [7,5,2,6,1,4,3]=>[2,5,7,1,6,3,4]=>101000=>000101 [7,5,2,6,3,1,4]=>[2,5,7,1,3,6,4]=>100100=>001001 [7,5,2,6,3,4,1]=>[2,5,7,3,6,1,4]=>101000=>000101 [7,5,2,6,4,1,3]=>[2,5,7,1,4,6,3]=>101000=>000101 [7,5,2,6,4,3,1]=>[2,5,7,1,3,4,6]=>100000=>000001 [7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>010101=>101010 [7,5,3,1,2,6,4]=>[1,3,5,7,4,6,2]=>010100=>001010 [7,5,3,1,4,2,6]=>[1,3,5,7,6,2,4]=>010001=>100010 [7,5,3,1,4,6,2]=>[1,3,5,7,4,2,6]=>010100=>001010 [7,5,3,1,6,2,4]=>[1,3,5,7,2,6,4]=>010100=>001010 [7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]=>010000=>000010 [7,5,3,2,1,4,6]=>[1,2,3,5,7,6,4]=>000101=>101000 [7,5,3,2,1,6,4]=>[1,2,3,5,7,4,6]=>000100=>001000 [7,5,3,2,4,1,6]=>[2,3,5,7,6,1,4]=>100001=>100001 [7,5,3,2,4,6,1]=>[2,3,5,7,4,1,6]=>100100=>001001 [7,5,3,2,6,1,4]=>[2,3,5,7,1,6,4]=>100100=>001001 [7,5,3,2,6,4,1]=>[2,3,5,7,1,4,6]=>100000=>000001 [7,5,3,4,1,2,6]=>[3,5,7,6,1,4,2]=>110001=>100011 [7,5,3,4,1,6,2]=>[3,5,7,1,4,2,6]=>110000=>000011 [7,5,3,4,2,1,6]=>[3,5,7,6,1,2,4]=>100001=>100001 [7,5,3,4,2,6,1]=>[3,5,7,2,4,1,6]=>110000=>000011 [7,5,3,4,6,1,2]=>[3,5,7,4,1,6,2]=>110100=>001011 [7,5,3,4,6,2,1]=>[3,5,7,4,1,2,6]=>100100=>001001 [7,5,3,6,1,2,4]=>[3,5,7,1,6,4,2]=>110100=>001011 [7,5,3,6,1,4,2]=>[3,5,7,1,6,2,4]=>110000=>000011 [7,5,3,6,2,1,4]=>[3,5,7,1,2,6,4]=>100100=>001001 [7,5,3,6,2,4,1]=>[3,5,7,2,6,1,4]=>110000=>000011 [7,5,3,6,4,1,2]=>[3,5,7,1,4,6,2]=>110000=>000011 [7,5,3,6,4,2,1]=>[3,5,7,1,2,4,6]=>100000=>000001 [7,5,4,1,2,3,6]=>[1,4,5,7,6,3,2]=>011001=>100110 [7,5,4,1,2,6,3]=>[1,4,5,7,3,6,2]=>011000=>000110 [7,5,4,1,3,2,6]=>[1,4,5,7,6,2,3]=>010001=>100010 [7,5,4,1,3,6,2]=>[1,4,5,7,3,2,6]=>011000=>000110 [7,5,4,1,6,2,3]=>[1,4,5,7,2,6,3]=>011000=>000110 [7,5,4,1,6,3,2]=>[1,4,5,7,2,3,6]=>010000=>000010 [7,5,4,2,1,3,6]=>[1,2,4,5,7,6,3]=>001001=>100100 [7,5,4,2,1,6,3]=>[1,2,4,5,7,3,6]=>001000=>000100 [7,5,4,2,3,1,6]=>[2,4,5,7,6,1,3]=>100001=>100001 [7,5,4,2,3,6,1]=>[2,4,5,7,3,1,6]=>101000=>000101 [7,5,4,2,6,1,3]=>[2,4,5,7,1,6,3]=>101000=>000101 [7,5,4,2,6,3,1]=>[2,4,5,7,1,3,6]=>100000=>000001 [7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>010001=>100010 [7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>010000=>000010 [7,5,4,3,2,1,6]=>[1,2,3,4,5,7,6]=>000001=>100000 [7,5,4,3,2,6,1]=>[2,3,4,5,7,1,6]=>100000=>000001 [7,5,4,3,6,1,2]=>[3,4,5,7,1,6,2]=>110000=>000011 [7,5,4,3,6,2,1]=>[3,4,5,7,1,2,6]=>100000=>000001 [7,5,4,6,1,2,3]=>[4,5,7,1,6,3,2]=>111000=>000111 [7,5,4,6,1,3,2]=>[4,5,7,1,6,2,3]=>110000=>000011 [7,5,4,6,2,1,3]=>[4,5,7,1,2,6,3]=>101000=>000101 [7,5,4,6,2,3,1]=>[4,5,7,2,6,1,3]=>110000=>000011 [7,5,4,6,3,1,2]=>[4,5,7,1,3,6,2]=>110000=>000011 [7,5,4,6,3,2,1]=>[4,5,7,1,2,3,6]=>100000=>000001 [7,5,6,1,2,3,4]=>[5,7,1,6,4,3,2]=>111100=>001111 [7,5,6,1,2,4,3]=>[5,7,1,6,3,4,2]=>111000=>000111 [7,5,6,1,3,2,4]=>[5,7,1,6,4,2,3]=>110100=>001011 [7,5,6,1,3,4,2]=>[5,7,1,6,3,2,4]=>111000=>000111 [7,5,6,1,4,2,3]=>[5,7,1,6,2,4,3]=>111000=>000111 [7,5,6,1,4,3,2]=>[5,7,1,6,2,3,4]=>110000=>000011 [7,5,6,2,1,3,4]=>[5,7,1,2,6,4,3]=>101100=>001101 [7,5,6,2,1,4,3]=>[5,7,1,2,6,3,4]=>101000=>000101 [7,5,6,2,3,1,4]=>[5,7,2,6,4,1,3]=>110100=>001011 [7,5,6,2,3,4,1]=>[5,7,2,6,3,1,4]=>111000=>000111 [7,5,6,2,4,1,3]=>[5,7,2,6,1,4,3]=>111000=>000111 [7,5,6,2,4,3,1]=>[5,7,2,6,1,3,4]=>110000=>000011 [7,5,6,3,1,2,4]=>[5,7,1,3,6,4,2]=>110100=>001011 [7,5,6,3,1,4,2]=>[5,7,1,3,6,2,4]=>110000=>000011 [7,5,6,3,2,1,4]=>[5,7,1,2,3,6,4]=>100100=>001001 [7,5,6,3,2,4,1]=>[5,7,2,3,6,1,4]=>110000=>000011 [7,5,6,3,4,1,2]=>[5,7,3,6,1,4,2]=>111000=>000111 [7,5,6,3,4,2,1]=>[5,7,3,6,1,2,4]=>101000=>000101 [7,5,6,4,1,2,3]=>[5,7,1,4,6,3,2]=>111000=>000111 [7,5,6,4,1,3,2]=>[5,7,1,4,6,2,3]=>110000=>000011 [7,5,6,4,2,1,3]=>[5,7,1,2,4,6,3]=>101000=>000101 [7,5,6,4,2,3,1]=>[5,7,2,4,6,1,3]=>110000=>000011 [7,5,6,4,3,1,2]=>[5,7,1,3,4,6,2]=>110000=>000011 [7,5,6,4,3,2,1]=>[5,7,1,2,3,4,6]=>100000=>000001 [7,6,1,2,3,4,5]=>[1,6,7,5,4,3,2]=>011110=>011110 [7,6,1,2,3,5,4]=>[1,6,7,4,5,3,2]=>011100=>001110 [7,6,1,2,4,3,5]=>[1,6,7,5,3,4,2]=>011010=>010110 [7,6,1,2,4,5,3]=>[1,6,7,4,3,5,2]=>011100=>001110 [7,6,1,2,5,3,4]=>[1,6,7,3,5,4,2]=>011100=>001110 [7,6,1,2,5,4,3]=>[1,6,7,3,4,5,2]=>011000=>000110 [7,6,1,3,2,4,5]=>[1,6,7,5,4,2,3]=>010110=>011010 [7,6,1,3,2,5,4]=>[1,6,7,4,5,2,3]=>010100=>001010 [7,6,1,3,4,2,5]=>[1,6,7,5,3,2,4]=>011010=>010110 [7,6,1,3,4,5,2]=>[1,6,7,4,3,2,5]=>011100=>001110 [7,6,1,3,5,2,4]=>[1,6,7,3,2,5,4]=>011100=>001110 [7,6,1,3,5,4,2]=>[1,6,7,3,2,4,5]=>011000=>000110 [7,6,1,4,2,3,5]=>[1,6,7,5,2,4,3]=>011010=>010110 [7,6,1,4,2,5,3]=>[1,6,7,2,4,3,5]=>011000=>000110 [7,6,1,4,3,2,5]=>[1,6,7,5,2,3,4]=>010010=>010010 [7,6,1,4,3,5,2]=>[1,6,7,3,4,2,5]=>011000=>000110 [7,6,1,4,5,2,3]=>[1,6,7,4,2,5,3]=>011100=>001110 [7,6,1,4,5,3,2]=>[1,6,7,4,2,3,5]=>010100=>001010 [7,6,1,5,2,3,4]=>[1,6,7,2,5,4,3]=>011100=>001110 [7,6,1,5,2,4,3]=>[1,6,7,2,5,3,4]=>011000=>000110 [7,6,1,5,3,2,4]=>[1,6,7,2,3,5,4]=>010100=>001010 [7,6,1,5,3,4,2]=>[1,6,7,3,5,2,4]=>011000=>000110 [7,6,1,5,4,2,3]=>[1,6,7,2,4,5,3]=>011000=>000110 [7,6,1,5,4,3,2]=>[1,6,7,2,3,4,5]=>010000=>000010 [7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>001110=>011100 [7,6,2,1,3,5,4]=>[1,2,6,7,4,5,3]=>001100=>001100 [7,6,2,1,4,3,5]=>[1,2,6,7,5,3,4]=>001010=>010100 [7,6,2,1,4,5,3]=>[1,2,6,7,4,3,5]=>001100=>001100 [7,6,2,1,5,3,4]=>[1,2,6,7,3,5,4]=>001100=>001100 [7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]=>001000=>000100 [7,6,2,3,1,4,5]=>[2,6,7,5,4,1,3]=>100110=>011001 [7,6,2,3,1,5,4]=>[2,6,7,4,5,1,3]=>100100=>001001 [7,6,2,3,4,1,5]=>[2,6,7,5,3,1,4]=>101010=>010101 [7,6,2,3,4,5,1]=>[2,6,7,4,3,1,5]=>101100=>001101 [7,6,2,3,5,1,4]=>[2,6,7,3,1,5,4]=>101100=>001101 [7,6,2,3,5,4,1]=>[2,6,7,3,1,4,5]=>101000=>000101 [7,6,2,4,1,3,5]=>[2,6,7,5,1,4,3]=>101010=>010101 [7,6,2,4,1,5,3]=>[2,6,7,1,4,3,5]=>101000=>000101 [7,6,2,4,3,1,5]=>[2,6,7,5,1,3,4]=>100010=>010001 [7,6,2,4,3,5,1]=>[2,6,7,3,4,1,5]=>101000=>000101 [7,6,2,4,5,1,3]=>[2,6,7,4,1,5,3]=>101100=>001101 [7,6,2,4,5,3,1]=>[2,6,7,4,1,3,5]=>100100=>001001 [7,6,2,5,1,3,4]=>[2,6,7,1,5,4,3]=>101100=>001101 [7,6,2,5,1,4,3]=>[2,6,7,1,5,3,4]=>101000=>000101 [7,6,2,5,3,1,4]=>[2,6,7,1,3,5,4]=>100100=>001001 [7,6,2,5,3,4,1]=>[2,6,7,3,5,1,4]=>101000=>000101 [7,6,2,5,4,1,3]=>[2,6,7,1,4,5,3]=>101000=>000101 [7,6,2,5,4,3,1]=>[2,6,7,1,3,4,5]=>100000=>000001 [7,6,3,1,2,4,5]=>[1,3,6,7,5,4,2]=>010110=>011010 [7,6,3,1,2,5,4]=>[1,3,6,7,4,5,2]=>010100=>001010 [7,6,3,1,4,2,5]=>[1,3,6,7,5,2,4]=>010010=>010010 [7,6,3,1,4,5,2]=>[1,3,6,7,4,2,5]=>010100=>001010 [7,6,3,1,5,2,4]=>[1,3,6,7,2,5,4]=>010100=>001010 [7,6,3,1,5,4,2]=>[1,3,6,7,2,4,5]=>010000=>000010 [7,6,3,2,1,4,5]=>[1,2,3,6,7,5,4]=>000110=>011000 [7,6,3,2,1,5,4]=>[1,2,3,6,7,4,5]=>000100=>001000 [7,6,3,2,4,1,5]=>[2,3,6,7,5,1,4]=>100010=>010001 [7,6,3,2,4,5,1]=>[2,3,6,7,4,1,5]=>100100=>001001 [7,6,3,2,5,1,4]=>[2,3,6,7,1,5,4]=>100100=>001001 [7,6,3,2,5,4,1]=>[2,3,6,7,1,4,5]=>100000=>000001 [7,6,3,4,1,2,5]=>[3,6,7,5,1,4,2]=>110010=>010011 [7,6,3,4,1,5,2]=>[3,6,7,1,4,2,5]=>110000=>000011 [7,6,3,4,2,1,5]=>[3,6,7,5,1,2,4]=>100010=>010001 [7,6,3,4,2,5,1]=>[3,6,7,2,4,1,5]=>110000=>000011 [7,6,3,4,5,1,2]=>[3,6,7,4,1,5,2]=>110100=>001011 [7,6,3,4,5,2,1]=>[3,6,7,4,1,2,5]=>100100=>001001 [7,6,3,5,1,2,4]=>[3,6,7,1,5,4,2]=>110100=>001011 [7,6,3,5,1,4,2]=>[3,6,7,1,5,2,4]=>110000=>000011 [7,6,3,5,2,1,4]=>[3,6,7,1,2,5,4]=>100100=>001001 [7,6,3,5,2,4,1]=>[3,6,7,2,5,1,4]=>110000=>000011 [7,6,3,5,4,1,2]=>[3,6,7,1,4,5,2]=>110000=>000011 [7,6,3,5,4,2,1]=>[3,6,7,1,2,4,5]=>100000=>000001 [7,6,4,1,2,3,5]=>[1,4,6,7,5,3,2]=>011010=>010110 [7,6,4,1,2,5,3]=>[1,4,6,7,3,5,2]=>011000=>000110 [7,6,4,1,3,2,5]=>[1,4,6,7,5,2,3]=>010010=>010010 [7,6,4,1,3,5,2]=>[1,4,6,7,3,2,5]=>011000=>000110 [7,6,4,1,5,2,3]=>[1,4,6,7,2,5,3]=>011000=>000110 [7,6,4,1,5,3,2]=>[1,4,6,7,2,3,5]=>010000=>000010 [7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>001010=>010100 [7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]=>001000=>000100 [7,6,4,2,3,1,5]=>[2,4,6,7,5,1,3]=>100010=>010001 [7,6,4,2,3,5,1]=>[2,4,6,7,3,1,5]=>101000=>000101 [7,6,4,2,5,1,3]=>[2,4,6,7,1,5,3]=>101000=>000101 [7,6,4,2,5,3,1]=>[2,4,6,7,1,3,5]=>100000=>000001 [7,6,4,3,1,2,5]=>[1,3,4,6,7,5,2]=>010010=>010010 [7,6,4,3,1,5,2]=>[1,3,4,6,7,2,5]=>010000=>000010 [7,6,4,3,2,1,5]=>[1,2,3,4,6,7,5]=>000010=>010000 [7,6,4,3,2,5,1]=>[2,3,4,6,7,1,5]=>100000=>000001 [7,6,4,3,5,1,2]=>[3,4,6,7,1,5,2]=>110000=>000011 [7,6,4,3,5,2,1]=>[3,4,6,7,1,2,5]=>100000=>000001 [7,6,4,5,1,2,3]=>[4,6,7,1,5,3,2]=>111000=>000111 [7,6,4,5,1,3,2]=>[4,6,7,1,5,2,3]=>110000=>000011 [7,6,4,5,2,1,3]=>[4,6,7,1,2,5,3]=>101000=>000101 [7,6,4,5,2,3,1]=>[4,6,7,2,5,1,3]=>110000=>000011 [7,6,4,5,3,1,2]=>[4,6,7,1,3,5,2]=>110000=>000011 [7,6,4,5,3,2,1]=>[4,6,7,1,2,3,5]=>100000=>000001 [7,6,5,1,2,3,4]=>[1,5,6,7,4,3,2]=>011100=>001110 [7,6,5,1,2,4,3]=>[1,5,6,7,3,4,2]=>011000=>000110 [7,6,5,1,3,2,4]=>[1,5,6,7,4,2,3]=>010100=>001010 [7,6,5,1,3,4,2]=>[1,5,6,7,3,2,4]=>011000=>000110 [7,6,5,1,4,2,3]=>[1,5,6,7,2,4,3]=>011000=>000110 [7,6,5,1,4,3,2]=>[1,5,6,7,2,3,4]=>010000=>000010 [7,6,5,2,1,3,4]=>[1,2,5,6,7,4,3]=>001100=>001100 [7,6,5,2,1,4,3]=>[1,2,5,6,7,3,4]=>001000=>000100 [7,6,5,2,3,1,4]=>[2,5,6,7,4,1,3]=>100100=>001001 [7,6,5,2,3,4,1]=>[2,5,6,7,3,1,4]=>101000=>000101 [7,6,5,2,4,1,3]=>[2,5,6,7,1,4,3]=>101000=>000101 [7,6,5,2,4,3,1]=>[2,5,6,7,1,3,4]=>100000=>000001 [7,6,5,3,1,2,4]=>[1,3,5,6,7,4,2]=>010100=>001010 [7,6,5,3,1,4,2]=>[1,3,5,6,7,2,4]=>010000=>000010 [7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>000100=>001000 [7,6,5,3,2,4,1]=>[2,3,5,6,7,1,4]=>100000=>000001 [7,6,5,3,4,1,2]=>[3,5,6,7,1,4,2]=>110000=>000011 [7,6,5,3,4,2,1]=>[3,5,6,7,1,2,4]=>100000=>000001 [7,6,5,4,1,2,3]=>[1,4,5,6,7,3,2]=>011000=>000110 [7,6,5,4,1,3,2]=>[1,4,5,6,7,2,3]=>010000=>000010 [7,6,5,4,2,1,3]=>[1,2,4,5,6,7,3]=>001000=>000100 [7,6,5,4,2,3,1]=>[2,4,5,6,7,1,3]=>100000=>000001 [7,6,5,4,3,1,2]=>[1,3,4,5,6,7,2]=>010000=>000010 [7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>000000=>000000
Map
weak order rowmotion
Description
Return the reversal of the permutation obtained by inverting the corresponding Laguerre heap.
This map is the composite of Mp00241invert Laguerre heap and Mp00064reverse.
Conjecturally, it is also the rowmotion on the weak order:
Any semidistributive lattice $L$ has a canonical labeling of the edges of its Hasse diagram by its join irreducible elements (see [1] and [2]). Rowmotion on this lattice is the bijection which takes an element $x \in L$ with a given set of down-labels to the unique element $y \in L$ which has that set as its up-labels (see [2] and [3]). For example, if the lattice is the distributive lattice $J(P)$ of order ideals of a finite poset $P$, then this reduces to ordinary rowmotion on the order ideals of $P$.
The weak order (a.k.a. permutohedral order) on the permutations in $S_n$ is a semidistributive lattice. In this way, we obtain an action of rowmotion on the set of permutations in $S_n$.
Note that the dynamics of weak order rowmotion is poorly understood. A collection of nontrivial homomesies is described in Corollary 6.14 of [4].
Map
descent bottoms
Description
The descent bottoms of a permutation as a binary word.
Map
reverse
Description
Return the reversal of a binary word.