Identifier
-
Mp00130:
Permutations
—descent tops⟶
Binary words
St000543: Binary words ⟶ ℤ
Values
=>
[1,2]=>0=>1
[2,1]=>1=>1
[1,2,3]=>00=>1
[1,3,2]=>01=>2
[2,1,3]=>10=>2
[2,3,1]=>01=>2
[3,1,2]=>01=>2
[3,2,1]=>11=>1
[1,2,3,4]=>000=>1
[1,2,4,3]=>001=>3
[1,3,2,4]=>010=>3
[1,3,4,2]=>001=>3
[1,4,2,3]=>001=>3
[1,4,3,2]=>011=>3
[2,1,3,4]=>100=>3
[2,1,4,3]=>101=>3
[2,3,1,4]=>010=>3
[2,3,4,1]=>001=>3
[2,4,1,3]=>001=>3
[2,4,3,1]=>011=>3
[3,1,2,4]=>010=>3
[3,1,4,2]=>011=>3
[3,2,1,4]=>110=>3
[3,2,4,1]=>011=>3
[3,4,1,2]=>001=>3
[3,4,2,1]=>101=>3
[4,1,2,3]=>001=>3
[4,1,3,2]=>011=>3
[4,2,1,3]=>101=>3
[4,2,3,1]=>011=>3
[4,3,1,2]=>011=>3
[4,3,2,1]=>111=>1
[1,2,3,4,5]=>0000=>1
[1,2,3,5,4]=>0001=>4
[1,2,4,3,5]=>0010=>4
[1,2,4,5,3]=>0001=>4
[1,2,5,3,4]=>0001=>4
[1,2,5,4,3]=>0011=>4
[1,3,2,4,5]=>0100=>4
[1,3,2,5,4]=>0101=>2
[1,3,4,2,5]=>0010=>4
[1,3,4,5,2]=>0001=>4
[1,3,5,2,4]=>0001=>4
[1,3,5,4,2]=>0011=>4
[1,4,2,3,5]=>0010=>4
[1,4,2,5,3]=>0011=>4
[1,4,3,2,5]=>0110=>4
[1,4,3,5,2]=>0011=>4
[1,4,5,2,3]=>0001=>4
[1,4,5,3,2]=>0101=>2
[1,5,2,3,4]=>0001=>4
[1,5,2,4,3]=>0011=>4
[1,5,3,2,4]=>0101=>2
[1,5,3,4,2]=>0011=>4
[1,5,4,2,3]=>0011=>4
[1,5,4,3,2]=>0111=>4
[2,1,3,4,5]=>1000=>4
[2,1,3,5,4]=>1001=>4
[2,1,4,3,5]=>1010=>2
[2,1,4,5,3]=>1001=>4
[2,1,5,3,4]=>1001=>4
[2,1,5,4,3]=>1011=>4
[2,3,1,4,5]=>0100=>4
[2,3,1,5,4]=>0101=>2
[2,3,4,1,5]=>0010=>4
[2,3,4,5,1]=>0001=>4
[2,3,5,1,4]=>0001=>4
[2,3,5,4,1]=>0011=>4
[2,4,1,3,5]=>0010=>4
[2,4,1,5,3]=>0011=>4
[2,4,3,1,5]=>0110=>4
[2,4,3,5,1]=>0011=>4
[2,4,5,1,3]=>0001=>4
[2,4,5,3,1]=>0101=>2
[2,5,1,3,4]=>0001=>4
[2,5,1,4,3]=>0011=>4
[2,5,3,1,4]=>0101=>2
[2,5,3,4,1]=>0011=>4
[2,5,4,1,3]=>0011=>4
[2,5,4,3,1]=>0111=>4
[3,1,2,4,5]=>0100=>4
[3,1,2,5,4]=>0101=>2
[3,1,4,2,5]=>0110=>4
[3,1,4,5,2]=>0101=>2
[3,1,5,2,4]=>0101=>2
[3,1,5,4,2]=>0111=>4
[3,2,1,4,5]=>1100=>4
[3,2,1,5,4]=>1101=>4
[3,2,4,1,5]=>0110=>4
[3,2,4,5,1]=>0101=>2
[3,2,5,1,4]=>0101=>2
[3,2,5,4,1]=>0111=>4
[3,4,1,2,5]=>0010=>4
[3,4,1,5,2]=>0011=>4
[3,4,2,1,5]=>1010=>2
[3,4,2,5,1]=>0011=>4
[3,4,5,1,2]=>0001=>4
[3,4,5,2,1]=>1001=>4
[3,5,1,2,4]=>0001=>4
[3,5,1,4,2]=>0011=>4
[3,5,2,1,4]=>1001=>4
[3,5,2,4,1]=>0011=>4
[3,5,4,1,2]=>0011=>4
[3,5,4,2,1]=>1011=>4
[4,1,2,3,5]=>0010=>4
[4,1,2,5,3]=>0011=>4
[4,1,3,2,5]=>0110=>4
[4,1,3,5,2]=>0011=>4
[4,1,5,2,3]=>0011=>4
[4,1,5,3,2]=>0111=>4
[4,2,1,3,5]=>1010=>2
[4,2,1,5,3]=>1011=>4
[4,2,3,1,5]=>0110=>4
[4,2,3,5,1]=>0011=>4
[4,2,5,1,3]=>0011=>4
[4,2,5,3,1]=>0111=>4
[4,3,1,2,5]=>0110=>4
[4,3,1,5,2]=>0111=>4
[4,3,2,1,5]=>1110=>4
[4,3,2,5,1]=>0111=>4
[4,3,5,1,2]=>0011=>4
[4,3,5,2,1]=>1011=>4
[4,5,1,2,3]=>0001=>4
[4,5,1,3,2]=>0101=>2
[4,5,2,1,3]=>1001=>4
[4,5,2,3,1]=>0101=>2
[4,5,3,1,2]=>0101=>2
[4,5,3,2,1]=>1101=>4
[5,1,2,3,4]=>0001=>4
[5,1,2,4,3]=>0011=>4
[5,1,3,2,4]=>0101=>2
[5,1,3,4,2]=>0011=>4
[5,1,4,2,3]=>0011=>4
[5,1,4,3,2]=>0111=>4
[5,2,1,3,4]=>1001=>4
[5,2,1,4,3]=>1011=>4
[5,2,3,1,4]=>0101=>2
[5,2,3,4,1]=>0011=>4
[5,2,4,1,3]=>0011=>4
[5,2,4,3,1]=>0111=>4
[5,3,1,2,4]=>0101=>2
[5,3,1,4,2]=>0111=>4
[5,3,2,1,4]=>1101=>4
[5,3,2,4,1]=>0111=>4
[5,3,4,1,2]=>0011=>4
[5,3,4,2,1]=>1011=>4
[5,4,1,2,3]=>0011=>4
[5,4,1,3,2]=>0111=>4
[5,4,2,1,3]=>1011=>4
[5,4,2,3,1]=>0111=>4
[5,4,3,1,2]=>0111=>4
[5,4,3,2,1]=>1111=>1
[1,2,3,4,5,6]=>00000=>1
[1,2,3,4,6,5]=>00001=>5
[1,2,3,5,4,6]=>00010=>5
[1,2,3,5,6,4]=>00001=>5
[1,2,3,6,4,5]=>00001=>5
[1,2,3,6,5,4]=>00011=>5
[1,2,4,3,5,6]=>00100=>5
[1,2,4,3,6,5]=>00101=>5
[1,2,4,5,3,6]=>00010=>5
[1,2,4,5,6,3]=>00001=>5
[1,2,4,6,3,5]=>00001=>5
[1,2,4,6,5,3]=>00011=>5
[1,2,5,3,4,6]=>00010=>5
[1,2,5,3,6,4]=>00011=>5
[1,2,5,4,3,6]=>00110=>5
[1,2,5,4,6,3]=>00011=>5
[1,2,5,6,3,4]=>00001=>5
[1,2,5,6,4,3]=>00101=>5
[1,2,6,3,4,5]=>00001=>5
[1,2,6,3,5,4]=>00011=>5
[1,2,6,4,3,5]=>00101=>5
[1,2,6,4,5,3]=>00011=>5
[1,2,6,5,3,4]=>00011=>5
[1,2,6,5,4,3]=>00111=>5
[1,3,2,4,5,6]=>01000=>5
[1,3,2,4,6,5]=>01001=>5
[1,3,2,5,4,6]=>01010=>5
[1,3,2,5,6,4]=>01001=>5
[1,3,2,6,4,5]=>01001=>5
[1,3,2,6,5,4]=>01011=>5
[1,3,4,2,5,6]=>00100=>5
[1,3,4,2,6,5]=>00101=>5
[1,3,4,5,2,6]=>00010=>5
[1,3,4,5,6,2]=>00001=>5
[1,3,4,6,2,5]=>00001=>5
[1,3,4,6,5,2]=>00011=>5
[1,3,5,2,4,6]=>00010=>5
[1,3,5,2,6,4]=>00011=>5
[1,3,5,4,2,6]=>00110=>5
[1,3,5,4,6,2]=>00011=>5
[1,3,5,6,2,4]=>00001=>5
[1,3,5,6,4,2]=>00101=>5
[1,3,6,2,4,5]=>00001=>5
[1,3,6,2,5,4]=>00011=>5
[1,3,6,4,2,5]=>00101=>5
[1,3,6,4,5,2]=>00011=>5
[1,3,6,5,2,4]=>00011=>5
[1,3,6,5,4,2]=>00111=>5
[1,4,2,3,5,6]=>00100=>5
[1,4,2,3,6,5]=>00101=>5
[1,4,2,5,3,6]=>00110=>5
[1,4,2,5,6,3]=>00101=>5
[1,4,2,6,3,5]=>00101=>5
[1,4,2,6,5,3]=>00111=>5
[1,4,3,2,5,6]=>01100=>5
[1,4,3,2,6,5]=>01101=>5
[1,4,3,5,2,6]=>00110=>5
[1,4,3,5,6,2]=>00101=>5
[1,4,3,6,2,5]=>00101=>5
[1,4,3,6,5,2]=>00111=>5
[1,4,5,2,3,6]=>00010=>5
[1,4,5,2,6,3]=>00011=>5
[1,4,5,3,2,6]=>01010=>5
[1,4,5,3,6,2]=>00011=>5
[1,4,5,6,2,3]=>00001=>5
[1,4,5,6,3,2]=>01001=>5
[1,4,6,2,3,5]=>00001=>5
[1,4,6,2,5,3]=>00011=>5
[1,4,6,3,2,5]=>01001=>5
[1,4,6,3,5,2]=>00011=>5
[1,4,6,5,2,3]=>00011=>5
[1,4,6,5,3,2]=>01011=>5
[1,5,2,3,4,6]=>00010=>5
[1,5,2,3,6,4]=>00011=>5
[1,5,2,4,3,6]=>00110=>5
[1,5,2,4,6,3]=>00011=>5
[1,5,2,6,3,4]=>00011=>5
[1,5,2,6,4,3]=>00111=>5
[1,5,3,2,4,6]=>01010=>5
[1,5,3,2,6,4]=>01011=>5
[1,5,3,4,2,6]=>00110=>5
[1,5,3,4,6,2]=>00011=>5
[1,5,3,6,2,4]=>00011=>5
[1,5,3,6,4,2]=>00111=>5
[1,5,4,2,3,6]=>00110=>5
[1,5,4,2,6,3]=>00111=>5
[1,5,4,3,2,6]=>01110=>5
[1,5,4,3,6,2]=>00111=>5
[1,5,4,6,2,3]=>00011=>5
[1,5,4,6,3,2]=>01011=>5
[1,5,6,2,3,4]=>00001=>5
[1,5,6,2,4,3]=>00101=>5
[1,5,6,3,2,4]=>01001=>5
[1,5,6,3,4,2]=>00101=>5
[1,5,6,4,2,3]=>00101=>5
[1,5,6,4,3,2]=>01101=>5
[1,6,2,3,4,5]=>00001=>5
[1,6,2,3,5,4]=>00011=>5
[1,6,2,4,3,5]=>00101=>5
[1,6,2,4,5,3]=>00011=>5
[1,6,2,5,3,4]=>00011=>5
[1,6,2,5,4,3]=>00111=>5
[1,6,3,2,4,5]=>01001=>5
[1,6,3,2,5,4]=>01011=>5
[1,6,3,4,2,5]=>00101=>5
[1,6,3,4,5,2]=>00011=>5
[1,6,3,5,2,4]=>00011=>5
[1,6,3,5,4,2]=>00111=>5
[1,6,4,2,3,5]=>00101=>5
[1,6,4,2,5,3]=>00111=>5
[1,6,4,3,2,5]=>01101=>5
[1,6,4,3,5,2]=>00111=>5
[1,6,4,5,2,3]=>00011=>5
[1,6,4,5,3,2]=>01011=>5
[1,6,5,2,3,4]=>00011=>5
[1,6,5,2,4,3]=>00111=>5
[1,6,5,3,2,4]=>01011=>5
[1,6,5,3,4,2]=>00111=>5
[1,6,5,4,2,3]=>00111=>5
[1,6,5,4,3,2]=>01111=>5
[2,1,3,4,5,6]=>10000=>5
[2,1,3,4,6,5]=>10001=>5
[2,1,3,5,4,6]=>10010=>5
[2,1,3,5,6,4]=>10001=>5
[2,1,3,6,4,5]=>10001=>5
[2,1,3,6,5,4]=>10011=>5
[2,1,4,3,5,6]=>10100=>5
[2,1,4,3,6,5]=>10101=>5
[2,1,4,5,3,6]=>10010=>5
[2,1,4,5,6,3]=>10001=>5
[2,1,4,6,3,5]=>10001=>5
[2,1,4,6,5,3]=>10011=>5
[2,1,5,3,4,6]=>10010=>5
[2,1,5,3,6,4]=>10011=>5
[2,1,5,4,3,6]=>10110=>5
[2,1,5,4,6,3]=>10011=>5
[2,1,5,6,3,4]=>10001=>5
[2,1,5,6,4,3]=>10101=>5
[2,1,6,3,4,5]=>10001=>5
[2,1,6,3,5,4]=>10011=>5
[2,1,6,4,3,5]=>10101=>5
[2,1,6,4,5,3]=>10011=>5
[2,1,6,5,3,4]=>10011=>5
[2,1,6,5,4,3]=>10111=>5
[2,3,1,4,5,6]=>01000=>5
[2,3,1,4,6,5]=>01001=>5
[2,3,1,5,4,6]=>01010=>5
[2,3,1,5,6,4]=>01001=>5
[2,3,1,6,4,5]=>01001=>5
[2,3,1,6,5,4]=>01011=>5
[2,3,4,1,5,6]=>00100=>5
[2,3,4,1,6,5]=>00101=>5
[2,3,4,5,1,6]=>00010=>5
[2,3,4,5,6,1]=>00001=>5
[2,3,4,6,1,5]=>00001=>5
[2,3,4,6,5,1]=>00011=>5
[2,3,5,1,4,6]=>00010=>5
[2,3,5,1,6,4]=>00011=>5
[2,3,5,4,1,6]=>00110=>5
[2,3,5,4,6,1]=>00011=>5
[2,3,5,6,1,4]=>00001=>5
[2,3,5,6,4,1]=>00101=>5
[2,3,6,1,4,5]=>00001=>5
[2,3,6,1,5,4]=>00011=>5
[2,3,6,4,1,5]=>00101=>5
[2,3,6,4,5,1]=>00011=>5
[2,3,6,5,1,4]=>00011=>5
[2,3,6,5,4,1]=>00111=>5
[2,4,1,3,5,6]=>00100=>5
[2,4,1,3,6,5]=>00101=>5
[2,4,1,5,3,6]=>00110=>5
[2,4,1,5,6,3]=>00101=>5
[2,4,1,6,3,5]=>00101=>5
[2,4,1,6,5,3]=>00111=>5
[2,4,3,1,5,6]=>01100=>5
[2,4,3,1,6,5]=>01101=>5
[2,4,3,5,1,6]=>00110=>5
[2,4,3,5,6,1]=>00101=>5
[2,4,3,6,1,5]=>00101=>5
[2,4,3,6,5,1]=>00111=>5
[2,4,5,1,3,6]=>00010=>5
[2,4,5,1,6,3]=>00011=>5
[2,4,5,3,1,6]=>01010=>5
[2,4,5,3,6,1]=>00011=>5
[2,4,5,6,1,3]=>00001=>5
[2,4,5,6,3,1]=>01001=>5
[2,4,6,1,3,5]=>00001=>5
[2,4,6,1,5,3]=>00011=>5
[2,4,6,3,1,5]=>01001=>5
[2,4,6,3,5,1]=>00011=>5
[2,4,6,5,1,3]=>00011=>5
[2,4,6,5,3,1]=>01011=>5
[2,5,1,3,4,6]=>00010=>5
[2,5,1,3,6,4]=>00011=>5
[2,5,1,4,3,6]=>00110=>5
[2,5,1,4,6,3]=>00011=>5
[2,5,1,6,3,4]=>00011=>5
[2,5,1,6,4,3]=>00111=>5
[2,5,3,1,4,6]=>01010=>5
[2,5,3,1,6,4]=>01011=>5
[2,5,3,4,1,6]=>00110=>5
[2,5,3,4,6,1]=>00011=>5
[2,5,3,6,1,4]=>00011=>5
[2,5,3,6,4,1]=>00111=>5
[2,5,4,1,3,6]=>00110=>5
[2,5,4,1,6,3]=>00111=>5
[2,5,4,3,1,6]=>01110=>5
[2,5,4,3,6,1]=>00111=>5
[2,5,4,6,1,3]=>00011=>5
[2,5,4,6,3,1]=>01011=>5
[2,5,6,1,3,4]=>00001=>5
[2,5,6,1,4,3]=>00101=>5
[2,5,6,3,1,4]=>01001=>5
[2,5,6,3,4,1]=>00101=>5
[2,5,6,4,1,3]=>00101=>5
[2,5,6,4,3,1]=>01101=>5
[2,6,1,3,4,5]=>00001=>5
[2,6,1,3,5,4]=>00011=>5
[2,6,1,4,3,5]=>00101=>5
[2,6,1,4,5,3]=>00011=>5
[2,6,1,5,3,4]=>00011=>5
[2,6,1,5,4,3]=>00111=>5
[2,6,3,1,4,5]=>01001=>5
[2,6,3,1,5,4]=>01011=>5
[2,6,3,4,1,5]=>00101=>5
[2,6,3,4,5,1]=>00011=>5
[2,6,3,5,1,4]=>00011=>5
[2,6,3,5,4,1]=>00111=>5
[2,6,4,1,3,5]=>00101=>5
[2,6,4,1,5,3]=>00111=>5
[2,6,4,3,1,5]=>01101=>5
[2,6,4,3,5,1]=>00111=>5
[2,6,4,5,1,3]=>00011=>5
[2,6,4,5,3,1]=>01011=>5
[2,6,5,1,3,4]=>00011=>5
[2,6,5,1,4,3]=>00111=>5
[2,6,5,3,1,4]=>01011=>5
[2,6,5,3,4,1]=>00111=>5
[2,6,5,4,1,3]=>00111=>5
[2,6,5,4,3,1]=>01111=>5
[3,1,2,4,5,6]=>01000=>5
[3,1,2,4,6,5]=>01001=>5
[3,1,2,5,4,6]=>01010=>5
[3,1,2,5,6,4]=>01001=>5
[3,1,2,6,4,5]=>01001=>5
[3,1,2,6,5,4]=>01011=>5
[3,1,4,2,5,6]=>01100=>5
[3,1,4,2,6,5]=>01101=>5
[3,1,4,5,2,6]=>01010=>5
[3,1,4,5,6,2]=>01001=>5
[3,1,4,6,2,5]=>01001=>5
[3,1,4,6,5,2]=>01011=>5
[3,1,5,2,4,6]=>01010=>5
[3,1,5,2,6,4]=>01011=>5
[3,1,5,4,2,6]=>01110=>5
[3,1,5,4,6,2]=>01011=>5
[3,1,5,6,2,4]=>01001=>5
[3,1,5,6,4,2]=>01101=>5
[3,1,6,2,4,5]=>01001=>5
[3,1,6,2,5,4]=>01011=>5
[3,1,6,4,2,5]=>01101=>5
[3,1,6,4,5,2]=>01011=>5
[3,1,6,5,2,4]=>01011=>5
[3,1,6,5,4,2]=>01111=>5
[3,2,1,4,5,6]=>11000=>5
[3,2,1,4,6,5]=>11001=>5
[3,2,1,5,4,6]=>11010=>5
[3,2,1,5,6,4]=>11001=>5
[3,2,1,6,4,5]=>11001=>5
[3,2,1,6,5,4]=>11011=>5
[3,2,4,1,5,6]=>01100=>5
[3,2,4,1,6,5]=>01101=>5
[3,2,4,5,1,6]=>01010=>5
[3,2,4,5,6,1]=>01001=>5
[3,2,4,6,1,5]=>01001=>5
[3,2,4,6,5,1]=>01011=>5
[3,2,5,1,4,6]=>01010=>5
[3,2,5,1,6,4]=>01011=>5
[3,2,5,4,1,6]=>01110=>5
[3,2,5,4,6,1]=>01011=>5
[3,2,5,6,1,4]=>01001=>5
[3,2,5,6,4,1]=>01101=>5
[3,2,6,1,4,5]=>01001=>5
[3,2,6,1,5,4]=>01011=>5
[3,2,6,4,1,5]=>01101=>5
[3,2,6,4,5,1]=>01011=>5
[3,2,6,5,1,4]=>01011=>5
[3,2,6,5,4,1]=>01111=>5
[3,4,1,2,5,6]=>00100=>5
[3,4,1,2,6,5]=>00101=>5
[3,4,1,5,2,6]=>00110=>5
[3,4,1,5,6,2]=>00101=>5
[3,4,1,6,2,5]=>00101=>5
[3,4,1,6,5,2]=>00111=>5
[3,4,2,1,5,6]=>10100=>5
[3,4,2,1,6,5]=>10101=>5
[3,4,2,5,1,6]=>00110=>5
[3,4,2,5,6,1]=>00101=>5
[3,4,2,6,1,5]=>00101=>5
[3,4,2,6,5,1]=>00111=>5
[3,4,5,1,2,6]=>00010=>5
[3,4,5,1,6,2]=>00011=>5
[3,4,5,2,1,6]=>10010=>5
[3,4,5,2,6,1]=>00011=>5
[3,4,5,6,1,2]=>00001=>5
[3,4,5,6,2,1]=>10001=>5
[3,4,6,1,2,5]=>00001=>5
[3,4,6,1,5,2]=>00011=>5
[3,4,6,2,1,5]=>10001=>5
[3,4,6,2,5,1]=>00011=>5
[3,4,6,5,1,2]=>00011=>5
[3,4,6,5,2,1]=>10011=>5
[3,5,1,2,4,6]=>00010=>5
[3,5,1,2,6,4]=>00011=>5
[3,5,1,4,2,6]=>00110=>5
[3,5,1,4,6,2]=>00011=>5
[3,5,1,6,2,4]=>00011=>5
[3,5,1,6,4,2]=>00111=>5
[3,5,2,1,4,6]=>10010=>5
[3,5,2,1,6,4]=>10011=>5
[3,5,2,4,1,6]=>00110=>5
[3,5,2,4,6,1]=>00011=>5
[3,5,2,6,1,4]=>00011=>5
[3,5,2,6,4,1]=>00111=>5
[3,5,4,1,2,6]=>00110=>5
[3,5,4,1,6,2]=>00111=>5
[3,5,4,2,1,6]=>10110=>5
[3,5,4,2,6,1]=>00111=>5
[3,5,4,6,1,2]=>00011=>5
[3,5,4,6,2,1]=>10011=>5
[3,5,6,1,2,4]=>00001=>5
[3,5,6,1,4,2]=>00101=>5
[3,5,6,2,1,4]=>10001=>5
[3,5,6,2,4,1]=>00101=>5
[3,5,6,4,1,2]=>00101=>5
[3,5,6,4,2,1]=>10101=>5
[3,6,1,2,4,5]=>00001=>5
[3,6,1,2,5,4]=>00011=>5
[3,6,1,4,2,5]=>00101=>5
[3,6,1,4,5,2]=>00011=>5
[3,6,1,5,2,4]=>00011=>5
[3,6,1,5,4,2]=>00111=>5
[3,6,2,1,4,5]=>10001=>5
[3,6,2,1,5,4]=>10011=>5
[3,6,2,4,1,5]=>00101=>5
[3,6,2,4,5,1]=>00011=>5
[3,6,2,5,1,4]=>00011=>5
[3,6,2,5,4,1]=>00111=>5
[3,6,4,1,2,5]=>00101=>5
[3,6,4,1,5,2]=>00111=>5
[3,6,4,2,1,5]=>10101=>5
[3,6,4,2,5,1]=>00111=>5
[3,6,4,5,1,2]=>00011=>5
[3,6,4,5,2,1]=>10011=>5
[3,6,5,1,2,4]=>00011=>5
[3,6,5,1,4,2]=>00111=>5
[3,6,5,2,1,4]=>10011=>5
[3,6,5,2,4,1]=>00111=>5
[3,6,5,4,1,2]=>00111=>5
[3,6,5,4,2,1]=>10111=>5
[4,1,2,3,5,6]=>00100=>5
[4,1,2,3,6,5]=>00101=>5
[4,1,2,5,3,6]=>00110=>5
[4,1,2,5,6,3]=>00101=>5
[4,1,2,6,3,5]=>00101=>5
[4,1,2,6,5,3]=>00111=>5
[4,1,3,2,5,6]=>01100=>5
[4,1,3,2,6,5]=>01101=>5
[4,1,3,5,2,6]=>00110=>5
[4,1,3,5,6,2]=>00101=>5
[4,1,3,6,2,5]=>00101=>5
[4,1,3,6,5,2]=>00111=>5
[4,1,5,2,3,6]=>00110=>5
[4,1,5,2,6,3]=>00111=>5
[4,1,5,3,2,6]=>01110=>5
[4,1,5,3,6,2]=>00111=>5
[4,1,5,6,2,3]=>00101=>5
[4,1,5,6,3,2]=>01101=>5
[4,1,6,2,3,5]=>00101=>5
[4,1,6,2,5,3]=>00111=>5
[4,1,6,3,2,5]=>01101=>5
[4,1,6,3,5,2]=>00111=>5
[4,1,6,5,2,3]=>00111=>5
[4,1,6,5,3,2]=>01111=>5
[4,2,1,3,5,6]=>10100=>5
[4,2,1,3,6,5]=>10101=>5
[4,2,1,5,3,6]=>10110=>5
[4,2,1,5,6,3]=>10101=>5
[4,2,1,6,3,5]=>10101=>5
[4,2,1,6,5,3]=>10111=>5
[4,2,3,1,5,6]=>01100=>5
[4,2,3,1,6,5]=>01101=>5
[4,2,3,5,1,6]=>00110=>5
[4,2,3,5,6,1]=>00101=>5
[4,2,3,6,1,5]=>00101=>5
[4,2,3,6,5,1]=>00111=>5
[4,2,5,1,3,6]=>00110=>5
[4,2,5,1,6,3]=>00111=>5
[4,2,5,3,1,6]=>01110=>5
[4,2,5,3,6,1]=>00111=>5
[4,2,5,6,1,3]=>00101=>5
[4,2,5,6,3,1]=>01101=>5
[4,2,6,1,3,5]=>00101=>5
[4,2,6,1,5,3]=>00111=>5
[4,2,6,3,1,5]=>01101=>5
[4,2,6,3,5,1]=>00111=>5
[4,2,6,5,1,3]=>00111=>5
[4,2,6,5,3,1]=>01111=>5
[4,3,1,2,5,6]=>01100=>5
[4,3,1,2,6,5]=>01101=>5
[4,3,1,5,2,6]=>01110=>5
[4,3,1,5,6,2]=>01101=>5
[4,3,1,6,2,5]=>01101=>5
[4,3,1,6,5,2]=>01111=>5
[4,3,2,1,5,6]=>11100=>5
[4,3,2,1,6,5]=>11101=>5
[4,3,2,5,1,6]=>01110=>5
[4,3,2,5,6,1]=>01101=>5
[4,3,2,6,1,5]=>01101=>5
[4,3,2,6,5,1]=>01111=>5
[4,3,5,1,2,6]=>00110=>5
[4,3,5,1,6,2]=>00111=>5
[4,3,5,2,1,6]=>10110=>5
[4,3,5,2,6,1]=>00111=>5
[4,3,5,6,1,2]=>00101=>5
[4,3,5,6,2,1]=>10101=>5
[4,3,6,1,2,5]=>00101=>5
[4,3,6,1,5,2]=>00111=>5
[4,3,6,2,1,5]=>10101=>5
[4,3,6,2,5,1]=>00111=>5
[4,3,6,5,1,2]=>00111=>5
[4,3,6,5,2,1]=>10111=>5
[4,5,1,2,3,6]=>00010=>5
[4,5,1,2,6,3]=>00011=>5
[4,5,1,3,2,6]=>01010=>5
[4,5,1,3,6,2]=>00011=>5
[4,5,1,6,2,3]=>00011=>5
[4,5,1,6,3,2]=>01011=>5
[4,5,2,1,3,6]=>10010=>5
[4,5,2,1,6,3]=>10011=>5
[4,5,2,3,1,6]=>01010=>5
[4,5,2,3,6,1]=>00011=>5
[4,5,2,6,1,3]=>00011=>5
[4,5,2,6,3,1]=>01011=>5
[4,5,3,1,2,6]=>01010=>5
[4,5,3,1,6,2]=>01011=>5
[4,5,3,2,1,6]=>11010=>5
[4,5,3,2,6,1]=>01011=>5
[4,5,3,6,1,2]=>00011=>5
[4,5,3,6,2,1]=>10011=>5
[4,5,6,1,2,3]=>00001=>5
[4,5,6,1,3,2]=>01001=>5
[4,5,6,2,1,3]=>10001=>5
[4,5,6,2,3,1]=>01001=>5
[4,5,6,3,1,2]=>01001=>5
[4,5,6,3,2,1]=>11001=>5
[4,6,1,2,3,5]=>00001=>5
[4,6,1,2,5,3]=>00011=>5
[4,6,1,3,2,5]=>01001=>5
[4,6,1,3,5,2]=>00011=>5
[4,6,1,5,2,3]=>00011=>5
[4,6,1,5,3,2]=>01011=>5
[4,6,2,1,3,5]=>10001=>5
[4,6,2,1,5,3]=>10011=>5
[4,6,2,3,1,5]=>01001=>5
[4,6,2,3,5,1]=>00011=>5
[4,6,2,5,1,3]=>00011=>5
[4,6,2,5,3,1]=>01011=>5
[4,6,3,1,2,5]=>01001=>5
[4,6,3,1,5,2]=>01011=>5
[4,6,3,2,1,5]=>11001=>5
[4,6,3,2,5,1]=>01011=>5
[4,6,3,5,1,2]=>00011=>5
[4,6,3,5,2,1]=>10011=>5
[4,6,5,1,2,3]=>00011=>5
[4,6,5,1,3,2]=>01011=>5
[4,6,5,2,1,3]=>10011=>5
[4,6,5,2,3,1]=>01011=>5
[4,6,5,3,1,2]=>01011=>5
[4,6,5,3,2,1]=>11011=>5
[5,1,2,3,4,6]=>00010=>5
[5,1,2,3,6,4]=>00011=>5
[5,1,2,4,3,6]=>00110=>5
[5,1,2,4,6,3]=>00011=>5
[5,1,2,6,3,4]=>00011=>5
[5,1,2,6,4,3]=>00111=>5
[5,1,3,2,4,6]=>01010=>5
[5,1,3,2,6,4]=>01011=>5
[5,1,3,4,2,6]=>00110=>5
[5,1,3,4,6,2]=>00011=>5
[5,1,3,6,2,4]=>00011=>5
[5,1,3,6,4,2]=>00111=>5
[5,1,4,2,3,6]=>00110=>5
[5,1,4,2,6,3]=>00111=>5
[5,1,4,3,2,6]=>01110=>5
[5,1,4,3,6,2]=>00111=>5
[5,1,4,6,2,3]=>00011=>5
[5,1,4,6,3,2]=>01011=>5
[5,1,6,2,3,4]=>00011=>5
[5,1,6,2,4,3]=>00111=>5
[5,1,6,3,2,4]=>01011=>5
[5,1,6,3,4,2]=>00111=>5
[5,1,6,4,2,3]=>00111=>5
[5,1,6,4,3,2]=>01111=>5
[5,2,1,3,4,6]=>10010=>5
[5,2,1,3,6,4]=>10011=>5
[5,2,1,4,3,6]=>10110=>5
[5,2,1,4,6,3]=>10011=>5
[5,2,1,6,3,4]=>10011=>5
[5,2,1,6,4,3]=>10111=>5
[5,2,3,1,4,6]=>01010=>5
[5,2,3,1,6,4]=>01011=>5
[5,2,3,4,1,6]=>00110=>5
[5,2,3,4,6,1]=>00011=>5
[5,2,3,6,1,4]=>00011=>5
[5,2,3,6,4,1]=>00111=>5
[5,2,4,1,3,6]=>00110=>5
[5,2,4,1,6,3]=>00111=>5
[5,2,4,3,1,6]=>01110=>5
[5,2,4,3,6,1]=>00111=>5
[5,2,4,6,1,3]=>00011=>5
[5,2,4,6,3,1]=>01011=>5
[5,2,6,1,3,4]=>00011=>5
[5,2,6,1,4,3]=>00111=>5
[5,2,6,3,1,4]=>01011=>5
[5,2,6,3,4,1]=>00111=>5
[5,2,6,4,1,3]=>00111=>5
[5,2,6,4,3,1]=>01111=>5
[5,3,1,2,4,6]=>01010=>5
[5,3,1,2,6,4]=>01011=>5
[5,3,1,4,2,6]=>01110=>5
[5,3,1,4,6,2]=>01011=>5
[5,3,1,6,2,4]=>01011=>5
[5,3,1,6,4,2]=>01111=>5
[5,3,2,1,4,6]=>11010=>5
[5,3,2,1,6,4]=>11011=>5
[5,3,2,4,1,6]=>01110=>5
[5,3,2,4,6,1]=>01011=>5
[5,3,2,6,1,4]=>01011=>5
[5,3,2,6,4,1]=>01111=>5
[5,3,4,1,2,6]=>00110=>5
[5,3,4,1,6,2]=>00111=>5
[5,3,4,2,1,6]=>10110=>5
[5,3,4,2,6,1]=>00111=>5
[5,3,4,6,1,2]=>00011=>5
[5,3,4,6,2,1]=>10011=>5
[5,3,6,1,2,4]=>00011=>5
[5,3,6,1,4,2]=>00111=>5
[5,3,6,2,1,4]=>10011=>5
[5,3,6,2,4,1]=>00111=>5
[5,3,6,4,1,2]=>00111=>5
[5,3,6,4,2,1]=>10111=>5
[5,4,1,2,3,6]=>00110=>5
[5,4,1,2,6,3]=>00111=>5
[5,4,1,3,2,6]=>01110=>5
[5,4,1,3,6,2]=>00111=>5
[5,4,1,6,2,3]=>00111=>5
[5,4,1,6,3,2]=>01111=>5
[5,4,2,1,3,6]=>10110=>5
[5,4,2,1,6,3]=>10111=>5
[5,4,2,3,1,6]=>01110=>5
[5,4,2,3,6,1]=>00111=>5
[5,4,2,6,1,3]=>00111=>5
[5,4,2,6,3,1]=>01111=>5
[5,4,3,1,2,6]=>01110=>5
[5,4,3,1,6,2]=>01111=>5
[5,4,3,2,1,6]=>11110=>5
[5,4,3,2,6,1]=>01111=>5
[5,4,3,6,1,2]=>00111=>5
[5,4,3,6,2,1]=>10111=>5
[5,4,6,1,2,3]=>00011=>5
[5,4,6,1,3,2]=>01011=>5
[5,4,6,2,1,3]=>10011=>5
[5,4,6,2,3,1]=>01011=>5
[5,4,6,3,1,2]=>01011=>5
[5,4,6,3,2,1]=>11011=>5
[5,6,1,2,3,4]=>00001=>5
[5,6,1,2,4,3]=>00101=>5
[5,6,1,3,2,4]=>01001=>5
[5,6,1,3,4,2]=>00101=>5
[5,6,1,4,2,3]=>00101=>5
[5,6,1,4,3,2]=>01101=>5
[5,6,2,1,3,4]=>10001=>5
[5,6,2,1,4,3]=>10101=>5
[5,6,2,3,1,4]=>01001=>5
[5,6,2,3,4,1]=>00101=>5
[5,6,2,4,1,3]=>00101=>5
[5,6,2,4,3,1]=>01101=>5
[5,6,3,1,2,4]=>01001=>5
[5,6,3,1,4,2]=>01101=>5
[5,6,3,2,1,4]=>11001=>5
[5,6,3,2,4,1]=>01101=>5
[5,6,3,4,1,2]=>00101=>5
[5,6,3,4,2,1]=>10101=>5
[5,6,4,1,2,3]=>00101=>5
[5,6,4,1,3,2]=>01101=>5
[5,6,4,2,1,3]=>10101=>5
[5,6,4,2,3,1]=>01101=>5
[5,6,4,3,1,2]=>01101=>5
[5,6,4,3,2,1]=>11101=>5
[6,1,2,3,4,5]=>00001=>5
[6,1,2,3,5,4]=>00011=>5
[6,1,2,4,3,5]=>00101=>5
[6,1,2,4,5,3]=>00011=>5
[6,1,2,5,3,4]=>00011=>5
[6,1,2,5,4,3]=>00111=>5
[6,1,3,2,4,5]=>01001=>5
[6,1,3,2,5,4]=>01011=>5
[6,1,3,4,2,5]=>00101=>5
[6,1,3,4,5,2]=>00011=>5
[6,1,3,5,2,4]=>00011=>5
[6,1,3,5,4,2]=>00111=>5
[6,1,4,2,3,5]=>00101=>5
[6,1,4,2,5,3]=>00111=>5
[6,1,4,3,2,5]=>01101=>5
[6,1,4,3,5,2]=>00111=>5
[6,1,4,5,2,3]=>00011=>5
[6,1,4,5,3,2]=>01011=>5
[6,1,5,2,3,4]=>00011=>5
[6,1,5,2,4,3]=>00111=>5
[6,1,5,3,2,4]=>01011=>5
[6,1,5,3,4,2]=>00111=>5
[6,1,5,4,2,3]=>00111=>5
[6,1,5,4,3,2]=>01111=>5
[6,2,1,3,4,5]=>10001=>5
[6,2,1,3,5,4]=>10011=>5
[6,2,1,4,3,5]=>10101=>5
[6,2,1,4,5,3]=>10011=>5
[6,2,1,5,3,4]=>10011=>5
[6,2,1,5,4,3]=>10111=>5
[6,2,3,1,4,5]=>01001=>5
[6,2,3,1,5,4]=>01011=>5
[6,2,3,4,1,5]=>00101=>5
[6,2,3,4,5,1]=>00011=>5
[6,2,3,5,1,4]=>00011=>5
[6,2,3,5,4,1]=>00111=>5
[6,2,4,1,3,5]=>00101=>5
[6,2,4,1,5,3]=>00111=>5
[6,2,4,3,1,5]=>01101=>5
[6,2,4,3,5,1]=>00111=>5
[6,2,4,5,1,3]=>00011=>5
[6,2,4,5,3,1]=>01011=>5
[6,2,5,1,3,4]=>00011=>5
[6,2,5,1,4,3]=>00111=>5
[6,2,5,3,1,4]=>01011=>5
[6,2,5,3,4,1]=>00111=>5
[6,2,5,4,1,3]=>00111=>5
[6,2,5,4,3,1]=>01111=>5
[6,3,1,2,4,5]=>01001=>5
[6,3,1,2,5,4]=>01011=>5
[6,3,1,4,2,5]=>01101=>5
[6,3,1,4,5,2]=>01011=>5
[6,3,1,5,2,4]=>01011=>5
[6,3,1,5,4,2]=>01111=>5
[6,3,2,1,4,5]=>11001=>5
[6,3,2,1,5,4]=>11011=>5
[6,3,2,4,1,5]=>01101=>5
[6,3,2,4,5,1]=>01011=>5
[6,3,2,5,1,4]=>01011=>5
[6,3,2,5,4,1]=>01111=>5
[6,3,4,1,2,5]=>00101=>5
[6,3,4,1,5,2]=>00111=>5
[6,3,4,2,1,5]=>10101=>5
[6,3,4,2,5,1]=>00111=>5
[6,3,4,5,1,2]=>00011=>5
[6,3,4,5,2,1]=>10011=>5
[6,3,5,1,2,4]=>00011=>5
[6,3,5,1,4,2]=>00111=>5
[6,3,5,2,1,4]=>10011=>5
[6,3,5,2,4,1]=>00111=>5
[6,3,5,4,1,2]=>00111=>5
[6,3,5,4,2,1]=>10111=>5
[6,4,1,2,3,5]=>00101=>5
[6,4,1,2,5,3]=>00111=>5
[6,4,1,3,2,5]=>01101=>5
[6,4,1,3,5,2]=>00111=>5
[6,4,1,5,2,3]=>00111=>5
[6,4,1,5,3,2]=>01111=>5
[6,4,2,1,3,5]=>10101=>5
[6,4,2,1,5,3]=>10111=>5
[6,4,2,3,1,5]=>01101=>5
[6,4,2,3,5,1]=>00111=>5
[6,4,2,5,1,3]=>00111=>5
[6,4,2,5,3,1]=>01111=>5
[6,4,3,1,2,5]=>01101=>5
[6,4,3,1,5,2]=>01111=>5
[6,4,3,2,1,5]=>11101=>5
[6,4,3,2,5,1]=>01111=>5
[6,4,3,5,1,2]=>00111=>5
[6,4,3,5,2,1]=>10111=>5
[6,4,5,1,2,3]=>00011=>5
[6,4,5,1,3,2]=>01011=>5
[6,4,5,2,1,3]=>10011=>5
[6,4,5,2,3,1]=>01011=>5
[6,4,5,3,1,2]=>01011=>5
[6,4,5,3,2,1]=>11011=>5
[6,5,1,2,3,4]=>00011=>5
[6,5,1,2,4,3]=>00111=>5
[6,5,1,3,2,4]=>01011=>5
[6,5,1,3,4,2]=>00111=>5
[6,5,1,4,2,3]=>00111=>5
[6,5,1,4,3,2]=>01111=>5
[6,5,2,1,3,4]=>10011=>5
[6,5,2,1,4,3]=>10111=>5
[6,5,2,3,1,4]=>01011=>5
[6,5,2,3,4,1]=>00111=>5
[6,5,2,4,1,3]=>00111=>5
[6,5,2,4,3,1]=>01111=>5
[6,5,3,1,2,4]=>01011=>5
[6,5,3,1,4,2]=>01111=>5
[6,5,3,2,1,4]=>11011=>5
[6,5,3,2,4,1]=>01111=>5
[6,5,3,4,1,2]=>00111=>5
[6,5,3,4,2,1]=>10111=>5
[6,5,4,1,2,3]=>00111=>5
[6,5,4,1,3,2]=>01111=>5
[6,5,4,2,1,3]=>10111=>5
[6,5,4,2,3,1]=>01111=>5
[6,5,4,3,1,2]=>01111=>5
[6,5,4,3,2,1]=>11111=>1
[1,2,3,4,5,6,7]=>000000=>1
[1,2,3,4,5,7,6]=>000001=>6
[1,2,3,4,6,5,7]=>000010=>6
[1,2,3,4,6,7,5]=>000001=>6
[1,2,3,4,7,5,6]=>000001=>6
[1,2,3,4,7,6,5]=>000011=>6
[1,2,3,5,4,6,7]=>000100=>6
[1,2,3,5,4,7,6]=>000101=>6
[1,2,3,5,6,4,7]=>000010=>6
[1,2,3,5,6,7,4]=>000001=>6
[1,2,3,5,7,4,6]=>000001=>6
[1,2,3,5,7,6,4]=>000011=>6
[1,2,3,6,4,5,7]=>000010=>6
[1,2,3,6,4,7,5]=>000011=>6
[1,2,3,6,5,4,7]=>000110=>6
[1,2,3,6,5,7,4]=>000011=>6
[1,2,3,6,7,4,5]=>000001=>6
[1,2,3,6,7,5,4]=>000101=>6
[1,2,3,7,4,5,6]=>000001=>6
[1,2,3,7,4,6,5]=>000011=>6
[1,2,3,7,5,4,6]=>000101=>6
[1,2,3,7,5,6,4]=>000011=>6
[1,2,3,7,6,4,5]=>000011=>6
[1,2,3,7,6,5,4]=>000111=>6
[1,2,4,3,5,6,7]=>001000=>6
[1,2,4,3,5,7,6]=>001001=>3
[1,2,4,3,6,5,7]=>001010=>6
[1,2,4,3,6,7,5]=>001001=>3
[1,2,4,3,7,5,6]=>001001=>3
[1,2,4,3,7,6,5]=>001011=>6
[1,2,4,5,3,6,7]=>000100=>6
[1,2,4,5,3,7,6]=>000101=>6
[1,2,4,5,6,3,7]=>000010=>6
[1,2,4,5,6,7,3]=>000001=>6
[1,2,4,5,7,3,6]=>000001=>6
[1,2,4,5,7,6,3]=>000011=>6
[1,2,4,6,3,5,7]=>000010=>6
[1,2,4,6,3,7,5]=>000011=>6
[1,2,4,6,5,3,7]=>000110=>6
[1,2,4,6,5,7,3]=>000011=>6
[1,2,4,6,7,3,5]=>000001=>6
[1,2,4,6,7,5,3]=>000101=>6
[1,2,4,7,3,5,6]=>000001=>6
[1,2,4,7,3,6,5]=>000011=>6
[1,2,4,7,5,3,6]=>000101=>6
[1,2,4,7,5,6,3]=>000011=>6
[1,2,4,7,6,3,5]=>000011=>6
[1,2,4,7,6,5,3]=>000111=>6
[1,2,5,3,4,6,7]=>000100=>6
[1,2,5,3,4,7,6]=>000101=>6
[1,2,5,3,6,4,7]=>000110=>6
[1,2,5,3,6,7,4]=>000101=>6
[1,2,5,3,7,4,6]=>000101=>6
[1,2,5,3,7,6,4]=>000111=>6
[1,2,5,4,3,6,7]=>001100=>6
[1,2,5,4,3,7,6]=>001101=>6
[1,2,5,4,6,3,7]=>000110=>6
[1,2,5,4,6,7,3]=>000101=>6
[1,2,5,4,7,3,6]=>000101=>6
[1,2,5,4,7,6,3]=>000111=>6
[1,2,5,6,3,4,7]=>000010=>6
[1,2,5,6,3,7,4]=>000011=>6
[1,2,5,6,4,3,7]=>001010=>6
[1,2,5,6,4,7,3]=>000011=>6
[1,2,5,6,7,3,4]=>000001=>6
[1,2,5,6,7,4,3]=>001001=>3
[1,2,5,7,3,4,6]=>000001=>6
[1,2,5,7,3,6,4]=>000011=>6
[1,2,5,7,4,3,6]=>001001=>3
[1,2,5,7,4,6,3]=>000011=>6
[1,2,5,7,6,3,4]=>000011=>6
[1,2,5,7,6,4,3]=>001011=>6
[1,2,6,3,4,5,7]=>000010=>6
[1,2,6,3,4,7,5]=>000011=>6
[1,2,6,3,5,4,7]=>000110=>6
[1,2,6,3,5,7,4]=>000011=>6
[1,2,6,3,7,4,5]=>000011=>6
[1,2,6,3,7,5,4]=>000111=>6
[1,2,6,4,3,5,7]=>001010=>6
[1,2,6,4,3,7,5]=>001011=>6
[1,2,6,4,5,3,7]=>000110=>6
[1,2,6,4,5,7,3]=>000011=>6
[1,2,6,4,7,3,5]=>000011=>6
[1,2,6,4,7,5,3]=>000111=>6
[1,2,6,5,3,4,7]=>000110=>6
[1,2,6,5,3,7,4]=>000111=>6
[1,2,6,5,4,3,7]=>001110=>6
[1,2,6,5,4,7,3]=>000111=>6
[1,2,6,5,7,3,4]=>000011=>6
[1,2,6,5,7,4,3]=>001011=>6
[1,2,6,7,3,4,5]=>000001=>6
[1,2,6,7,3,5,4]=>000101=>6
[1,2,6,7,4,3,5]=>001001=>3
[1,2,6,7,4,5,3]=>000101=>6
[1,2,6,7,5,3,4]=>000101=>6
[1,2,6,7,5,4,3]=>001101=>6
[1,2,7,3,4,5,6]=>000001=>6
[1,2,7,3,4,6,5]=>000011=>6
[1,2,7,3,5,4,6]=>000101=>6
[1,2,7,3,5,6,4]=>000011=>6
[1,2,7,3,6,4,5]=>000011=>6
[1,2,7,3,6,5,4]=>000111=>6
[1,2,7,4,3,5,6]=>001001=>3
[1,2,7,4,3,6,5]=>001011=>6
[1,2,7,4,5,3,6]=>000101=>6
[1,2,7,4,5,6,3]=>000011=>6
[1,2,7,4,6,3,5]=>000011=>6
[1,2,7,4,6,5,3]=>000111=>6
[1,2,7,5,3,4,6]=>000101=>6
[1,2,7,5,3,6,4]=>000111=>6
[1,2,7,5,4,3,6]=>001101=>6
[1,2,7,5,4,6,3]=>000111=>6
[1,2,7,5,6,3,4]=>000011=>6
[1,2,7,5,6,4,3]=>001011=>6
[1,2,7,6,3,4,5]=>000011=>6
[1,2,7,6,3,5,4]=>000111=>6
[1,2,7,6,4,3,5]=>001011=>6
[1,2,7,6,4,5,3]=>000111=>6
[1,2,7,6,5,3,4]=>000111=>6
[1,2,7,6,5,4,3]=>001111=>6
[1,3,2,4,5,6,7]=>010000=>6
[1,3,2,4,5,7,6]=>010001=>6
[1,3,2,4,6,5,7]=>010010=>3
[1,3,2,4,6,7,5]=>010001=>6
[1,3,2,4,7,5,6]=>010001=>6
[1,3,2,4,7,6,5]=>010011=>6
[1,3,2,5,4,6,7]=>010100=>6
[1,3,2,5,4,7,6]=>010101=>2
[1,3,2,5,6,4,7]=>010010=>3
[1,3,2,5,6,7,4]=>010001=>6
[1,3,2,5,7,4,6]=>010001=>6
[1,3,2,5,7,6,4]=>010011=>6
[1,3,2,6,4,5,7]=>010010=>3
[1,3,2,6,4,7,5]=>010011=>6
[1,3,2,6,5,4,7]=>010110=>6
[1,3,2,6,5,7,4]=>010011=>6
[1,3,2,6,7,4,5]=>010001=>6
[1,3,2,6,7,5,4]=>010101=>2
[1,3,2,7,4,5,6]=>010001=>6
[1,3,2,7,4,6,5]=>010011=>6
[1,3,2,7,5,4,6]=>010101=>2
[1,3,2,7,5,6,4]=>010011=>6
[1,3,2,7,6,4,5]=>010011=>6
[1,3,2,7,6,5,4]=>010111=>6
[1,3,4,2,5,6,7]=>001000=>6
[1,3,4,2,5,7,6]=>001001=>3
[1,3,4,2,6,5,7]=>001010=>6
[1,3,4,2,6,7,5]=>001001=>3
[1,3,4,2,7,5,6]=>001001=>3
[1,3,4,2,7,6,5]=>001011=>6
[1,3,4,5,2,6,7]=>000100=>6
[1,3,4,5,2,7,6]=>000101=>6
[1,3,4,5,6,2,7]=>000010=>6
[1,3,4,5,6,7,2]=>000001=>6
[1,3,4,5,7,2,6]=>000001=>6
[1,3,4,5,7,6,2]=>000011=>6
[1,3,4,6,2,5,7]=>000010=>6
[1,3,4,6,2,7,5]=>000011=>6
[1,3,4,6,5,2,7]=>000110=>6
[1,3,4,6,5,7,2]=>000011=>6
[1,3,4,6,7,2,5]=>000001=>6
[1,3,4,6,7,5,2]=>000101=>6
[1,3,4,7,2,5,6]=>000001=>6
[1,3,4,7,2,6,5]=>000011=>6
[1,3,4,7,5,2,6]=>000101=>6
[1,3,4,7,5,6,2]=>000011=>6
[1,3,4,7,6,2,5]=>000011=>6
[1,3,4,7,6,5,2]=>000111=>6
[1,3,5,2,4,6,7]=>000100=>6
[1,3,5,2,4,7,6]=>000101=>6
[1,3,5,2,6,4,7]=>000110=>6
[1,3,5,2,6,7,4]=>000101=>6
[1,3,5,2,7,4,6]=>000101=>6
[1,3,5,2,7,6,4]=>000111=>6
[1,3,5,4,2,6,7]=>001100=>6
[1,3,5,4,2,7,6]=>001101=>6
[1,3,5,4,6,2,7]=>000110=>6
[1,3,5,4,6,7,2]=>000101=>6
[1,3,5,4,7,2,6]=>000101=>6
[1,3,5,4,7,6,2]=>000111=>6
[1,3,5,6,2,4,7]=>000010=>6
[1,3,5,6,2,7,4]=>000011=>6
[1,3,5,6,4,2,7]=>001010=>6
[1,3,5,6,4,7,2]=>000011=>6
[1,3,5,6,7,2,4]=>000001=>6
[1,3,5,6,7,4,2]=>001001=>3
[1,3,5,7,2,4,6]=>000001=>6
[1,3,5,7,2,6,4]=>000011=>6
[1,3,5,7,4,2,6]=>001001=>3
[1,3,5,7,4,6,2]=>000011=>6
[1,3,5,7,6,2,4]=>000011=>6
[1,3,5,7,6,4,2]=>001011=>6
[1,3,6,2,4,5,7]=>000010=>6
[1,3,6,2,4,7,5]=>000011=>6
[1,3,6,2,5,4,7]=>000110=>6
[1,3,6,2,5,7,4]=>000011=>6
[1,3,6,2,7,4,5]=>000011=>6
[1,3,6,2,7,5,4]=>000111=>6
[1,3,6,4,2,5,7]=>001010=>6
[1,3,6,4,2,7,5]=>001011=>6
[1,3,6,4,5,2,7]=>000110=>6
[1,3,6,4,5,7,2]=>000011=>6
[1,3,6,4,7,2,5]=>000011=>6
[1,3,6,4,7,5,2]=>000111=>6
[1,3,6,5,2,4,7]=>000110=>6
[1,3,6,5,2,7,4]=>000111=>6
[1,3,6,5,4,2,7]=>001110=>6
[1,3,6,5,4,7,2]=>000111=>6
[1,3,6,5,7,2,4]=>000011=>6
[1,3,6,5,7,4,2]=>001011=>6
[1,3,6,7,2,4,5]=>000001=>6
[1,3,6,7,2,5,4]=>000101=>6
[1,3,6,7,4,2,5]=>001001=>3
[1,3,6,7,4,5,2]=>000101=>6
[1,3,6,7,5,2,4]=>000101=>6
[1,3,6,7,5,4,2]=>001101=>6
[1,3,7,2,4,5,6]=>000001=>6
[1,3,7,2,4,6,5]=>000011=>6
[1,3,7,2,5,4,6]=>000101=>6
[1,3,7,2,5,6,4]=>000011=>6
[1,3,7,2,6,4,5]=>000011=>6
[1,3,7,2,6,5,4]=>000111=>6
[1,3,7,4,2,5,6]=>001001=>3
[1,3,7,4,2,6,5]=>001011=>6
[1,3,7,4,5,2,6]=>000101=>6
[1,3,7,4,5,6,2]=>000011=>6
[1,3,7,4,6,2,5]=>000011=>6
[1,3,7,4,6,5,2]=>000111=>6
[1,3,7,5,2,4,6]=>000101=>6
[1,3,7,5,2,6,4]=>000111=>6
[1,3,7,5,4,2,6]=>001101=>6
[1,3,7,5,4,6,2]=>000111=>6
[1,3,7,5,6,2,4]=>000011=>6
[1,3,7,5,6,4,2]=>001011=>6
[1,3,7,6,2,4,5]=>000011=>6
[1,3,7,6,2,5,4]=>000111=>6
[1,3,7,6,4,2,5]=>001011=>6
[1,3,7,6,4,5,2]=>000111=>6
[1,3,7,6,5,2,4]=>000111=>6
[1,3,7,6,5,4,2]=>001111=>6
[1,4,2,3,5,6,7]=>001000=>6
[1,4,2,3,5,7,6]=>001001=>3
[1,4,2,3,6,5,7]=>001010=>6
[1,4,2,3,6,7,5]=>001001=>3
[1,4,2,3,7,5,6]=>001001=>3
[1,4,2,3,7,6,5]=>001011=>6
[1,4,2,5,3,6,7]=>001100=>6
[1,4,2,5,3,7,6]=>001101=>6
[1,4,2,5,6,3,7]=>001010=>6
[1,4,2,5,6,7,3]=>001001=>3
[1,4,2,5,7,3,6]=>001001=>3
[1,4,2,5,7,6,3]=>001011=>6
[1,4,2,6,3,5,7]=>001010=>6
[1,4,2,6,3,7,5]=>001011=>6
[1,4,2,6,5,3,7]=>001110=>6
[1,4,2,6,5,7,3]=>001011=>6
[1,4,2,6,7,3,5]=>001001=>3
[1,4,2,6,7,5,3]=>001101=>6
[1,4,2,7,3,5,6]=>001001=>3
[1,4,2,7,3,6,5]=>001011=>6
[1,4,2,7,5,3,6]=>001101=>6
[1,4,2,7,5,6,3]=>001011=>6
[1,4,2,7,6,3,5]=>001011=>6
[1,4,2,7,6,5,3]=>001111=>6
[1,4,3,2,5,6,7]=>011000=>6
[1,4,3,2,5,7,6]=>011001=>6
[1,4,3,2,6,5,7]=>011010=>6
[1,4,3,2,6,7,5]=>011001=>6
[1,4,3,2,7,5,6]=>011001=>6
[1,4,3,2,7,6,5]=>011011=>3
[1,4,3,5,2,6,7]=>001100=>6
[1,4,3,5,2,7,6]=>001101=>6
[1,4,3,5,6,2,7]=>001010=>6
[1,4,3,5,6,7,2]=>001001=>3
[1,4,3,5,7,2,6]=>001001=>3
[1,4,3,5,7,6,2]=>001011=>6
[1,4,3,6,2,5,7]=>001010=>6
[1,4,3,6,2,7,5]=>001011=>6
[1,4,3,6,5,2,7]=>001110=>6
[1,4,3,6,5,7,2]=>001011=>6
[1,4,3,6,7,2,5]=>001001=>3
[1,4,3,6,7,5,2]=>001101=>6
[1,4,3,7,2,5,6]=>001001=>3
[1,4,3,7,2,6,5]=>001011=>6
[1,4,3,7,5,2,6]=>001101=>6
[1,4,3,7,5,6,2]=>001011=>6
[1,4,3,7,6,2,5]=>001011=>6
[1,4,3,7,6,5,2]=>001111=>6
[1,4,5,2,3,6,7]=>000100=>6
[1,4,5,2,3,7,6]=>000101=>6
[1,4,5,2,6,3,7]=>000110=>6
[1,4,5,2,6,7,3]=>000101=>6
[1,4,5,2,7,3,6]=>000101=>6
[1,4,5,2,7,6,3]=>000111=>6
[1,4,5,3,2,6,7]=>010100=>6
[1,4,5,3,2,7,6]=>010101=>2
[1,4,5,3,6,2,7]=>000110=>6
[1,4,5,3,6,7,2]=>000101=>6
[1,4,5,3,7,2,6]=>000101=>6
[1,4,5,3,7,6,2]=>000111=>6
[1,4,5,6,2,3,7]=>000010=>6
[1,4,5,6,2,7,3]=>000011=>6
[1,4,5,6,3,2,7]=>010010=>3
[1,4,5,6,3,7,2]=>000011=>6
[1,4,5,6,7,2,3]=>000001=>6
[1,4,5,6,7,3,2]=>010001=>6
[1,4,5,7,2,3,6]=>000001=>6
[1,4,5,7,2,6,3]=>000011=>6
[1,4,5,7,3,2,6]=>010001=>6
[1,4,5,7,3,6,2]=>000011=>6
[1,4,5,7,6,2,3]=>000011=>6
[1,4,5,7,6,3,2]=>010011=>6
[1,4,6,2,3,5,7]=>000010=>6
[1,4,6,2,3,7,5]=>000011=>6
[1,4,6,2,5,3,7]=>000110=>6
[1,4,6,2,5,7,3]=>000011=>6
[1,4,6,2,7,3,5]=>000011=>6
[1,4,6,2,7,5,3]=>000111=>6
[1,4,6,3,2,5,7]=>010010=>3
[1,4,6,3,2,7,5]=>010011=>6
[1,4,6,3,5,2,7]=>000110=>6
[1,4,6,3,5,7,2]=>000011=>6
[1,4,6,3,7,2,5]=>000011=>6
[1,4,6,3,7,5,2]=>000111=>6
[1,4,6,5,2,3,7]=>000110=>6
[1,4,6,5,2,7,3]=>000111=>6
[1,4,6,5,3,2,7]=>010110=>6
[1,4,6,5,3,7,2]=>000111=>6
[1,4,6,5,7,2,3]=>000011=>6
[1,4,6,5,7,3,2]=>010011=>6
[1,4,6,7,2,3,5]=>000001=>6
[1,4,6,7,2,5,3]=>000101=>6
[1,4,6,7,3,2,5]=>010001=>6
[1,4,6,7,3,5,2]=>000101=>6
[1,4,6,7,5,2,3]=>000101=>6
[1,4,6,7,5,3,2]=>010101=>2
[1,4,7,2,3,5,6]=>000001=>6
[1,4,7,2,3,6,5]=>000011=>6
[1,4,7,2,5,3,6]=>000101=>6
[1,4,7,2,5,6,3]=>000011=>6
[1,4,7,2,6,3,5]=>000011=>6
[1,4,7,2,6,5,3]=>000111=>6
[1,4,7,3,2,5,6]=>010001=>6
[1,4,7,3,2,6,5]=>010011=>6
[1,4,7,3,5,2,6]=>000101=>6
[1,4,7,3,5,6,2]=>000011=>6
[1,4,7,3,6,2,5]=>000011=>6
[1,4,7,3,6,5,2]=>000111=>6
[1,4,7,5,2,3,6]=>000101=>6
[1,4,7,5,2,6,3]=>000111=>6
[1,4,7,5,3,2,6]=>010101=>2
[1,4,7,5,3,6,2]=>000111=>6
[1,4,7,5,6,2,3]=>000011=>6
[1,4,7,5,6,3,2]=>010011=>6
[1,4,7,6,2,3,5]=>000011=>6
[1,4,7,6,2,5,3]=>000111=>6
[1,4,7,6,3,2,5]=>010011=>6
[1,4,7,6,3,5,2]=>000111=>6
[1,4,7,6,5,2,3]=>000111=>6
[1,4,7,6,5,3,2]=>010111=>6
[1,5,2,3,4,6,7]=>000100=>6
[1,5,2,3,4,7,6]=>000101=>6
[1,5,2,3,6,4,7]=>000110=>6
[1,5,2,3,6,7,4]=>000101=>6
[1,5,2,3,7,4,6]=>000101=>6
[1,5,2,3,7,6,4]=>000111=>6
[1,5,2,4,3,6,7]=>001100=>6
[1,5,2,4,3,7,6]=>001101=>6
[1,5,2,4,6,3,7]=>000110=>6
[1,5,2,4,6,7,3]=>000101=>6
[1,5,2,4,7,3,6]=>000101=>6
[1,5,2,4,7,6,3]=>000111=>6
[1,5,2,6,3,4,7]=>000110=>6
[1,5,2,6,3,7,4]=>000111=>6
[1,5,2,6,4,3,7]=>001110=>6
[1,5,2,6,4,7,3]=>000111=>6
[1,5,2,6,7,3,4]=>000101=>6
[1,5,2,6,7,4,3]=>001101=>6
[1,5,2,7,3,4,6]=>000101=>6
[1,5,2,7,3,6,4]=>000111=>6
[1,5,2,7,4,3,6]=>001101=>6
[1,5,2,7,4,6,3]=>000111=>6
[1,5,2,7,6,3,4]=>000111=>6
[1,5,2,7,6,4,3]=>001111=>6
[1,5,3,2,4,6,7]=>010100=>6
[1,5,3,2,4,7,6]=>010101=>2
[1,5,3,2,6,4,7]=>010110=>6
[1,5,3,2,6,7,4]=>010101=>2
[1,5,3,2,7,4,6]=>010101=>2
[1,5,3,2,7,6,4]=>010111=>6
[1,5,3,4,2,6,7]=>001100=>6
[1,5,3,4,2,7,6]=>001101=>6
[1,5,3,4,6,2,7]=>000110=>6
[1,5,3,4,6,7,2]=>000101=>6
[1,5,3,4,7,2,6]=>000101=>6
[1,5,3,4,7,6,2]=>000111=>6
[1,5,3,6,2,4,7]=>000110=>6
[1,5,3,6,2,7,4]=>000111=>6
[1,5,3,6,4,2,7]=>001110=>6
[1,5,3,6,4,7,2]=>000111=>6
[1,5,3,6,7,2,4]=>000101=>6
[1,5,3,6,7,4,2]=>001101=>6
[1,5,3,7,2,4,6]=>000101=>6
[1,5,3,7,2,6,4]=>000111=>6
[1,5,3,7,4,2,6]=>001101=>6
[1,5,3,7,4,6,2]=>000111=>6
[1,5,3,7,6,2,4]=>000111=>6
[1,5,3,7,6,4,2]=>001111=>6
[1,5,4,2,3,6,7]=>001100=>6
[1,5,4,2,3,7,6]=>001101=>6
[1,5,4,2,6,3,7]=>001110=>6
[1,5,4,2,6,7,3]=>001101=>6
[1,5,4,2,7,3,6]=>001101=>6
[1,5,4,2,7,6,3]=>001111=>6
[1,5,4,3,2,6,7]=>011100=>6
[1,5,4,3,2,7,6]=>011101=>6
[1,5,4,3,6,2,7]=>001110=>6
[1,5,4,3,6,7,2]=>001101=>6
[1,5,4,3,7,2,6]=>001101=>6
[1,5,4,3,7,6,2]=>001111=>6
[1,5,4,6,2,3,7]=>000110=>6
[1,5,4,6,2,7,3]=>000111=>6
[1,5,4,6,3,2,7]=>010110=>6
[1,5,4,6,3,7,2]=>000111=>6
[1,5,4,6,7,2,3]=>000101=>6
[1,5,4,6,7,3,2]=>010101=>2
[1,5,4,7,2,3,6]=>000101=>6
[1,5,4,7,2,6,3]=>000111=>6
[1,5,4,7,3,2,6]=>010101=>2
[1,5,4,7,3,6,2]=>000111=>6
[1,5,4,7,6,2,3]=>000111=>6
[1,5,4,7,6,3,2]=>010111=>6
[1,5,6,2,3,4,7]=>000010=>6
[1,5,6,2,3,7,4]=>000011=>6
[1,5,6,2,4,3,7]=>001010=>6
[1,5,6,2,4,7,3]=>000011=>6
[1,5,6,2,7,3,4]=>000011=>6
[1,5,6,2,7,4,3]=>001011=>6
[1,5,6,3,2,4,7]=>010010=>3
[1,5,6,3,2,7,4]=>010011=>6
[1,5,6,3,4,2,7]=>001010=>6
[1,5,6,3,4,7,2]=>000011=>6
[1,5,6,3,7,2,4]=>000011=>6
[1,5,6,3,7,4,2]=>001011=>6
[1,5,6,4,2,3,7]=>001010=>6
[1,5,6,4,2,7,3]=>001011=>6
[1,5,6,4,3,2,7]=>011010=>6
[1,5,6,4,3,7,2]=>001011=>6
[1,5,6,4,7,2,3]=>000011=>6
[1,5,6,4,7,3,2]=>010011=>6
[1,5,6,7,2,3,4]=>000001=>6
[1,5,6,7,2,4,3]=>001001=>3
[1,5,6,7,3,2,4]=>010001=>6
[1,5,6,7,3,4,2]=>001001=>3
[1,5,6,7,4,2,3]=>001001=>3
[1,5,6,7,4,3,2]=>011001=>6
[1,5,7,2,3,4,6]=>000001=>6
[1,5,7,2,3,6,4]=>000011=>6
[1,5,7,2,4,3,6]=>001001=>3
[1,5,7,2,4,6,3]=>000011=>6
[1,5,7,2,6,3,4]=>000011=>6
[1,5,7,2,6,4,3]=>001011=>6
[1,5,7,3,2,4,6]=>010001=>6
[1,5,7,3,2,6,4]=>010011=>6
[1,5,7,3,4,2,6]=>001001=>3
[1,5,7,3,4,6,2]=>000011=>6
[1,5,7,3,6,2,4]=>000011=>6
[1,5,7,3,6,4,2]=>001011=>6
[1,5,7,4,2,3,6]=>001001=>3
[1,5,7,4,2,6,3]=>001011=>6
[1,5,7,4,3,2,6]=>011001=>6
[1,5,7,4,3,6,2]=>001011=>6
[1,5,7,4,6,2,3]=>000011=>6
[1,5,7,4,6,3,2]=>010011=>6
[1,5,7,6,2,3,4]=>000011=>6
[1,5,7,6,2,4,3]=>001011=>6
[1,5,7,6,3,2,4]=>010011=>6
[1,5,7,6,3,4,2]=>001011=>6
[1,5,7,6,4,2,3]=>001011=>6
[1,5,7,6,4,3,2]=>011011=>3
[1,6,2,3,4,5,7]=>000010=>6
[1,6,2,3,4,7,5]=>000011=>6
[1,6,2,3,5,4,7]=>000110=>6
[1,6,2,3,5,7,4]=>000011=>6
[1,6,2,3,7,4,5]=>000011=>6
[1,6,2,3,7,5,4]=>000111=>6
[1,6,2,4,3,5,7]=>001010=>6
[1,6,2,4,3,7,5]=>001011=>6
[1,6,2,4,5,3,7]=>000110=>6
[1,6,2,4,5,7,3]=>000011=>6
[1,6,2,4,7,3,5]=>000011=>6
[1,6,2,4,7,5,3]=>000111=>6
[1,6,2,5,3,4,7]=>000110=>6
[1,6,2,5,3,7,4]=>000111=>6
[1,6,2,5,4,3,7]=>001110=>6
[1,6,2,5,4,7,3]=>000111=>6
[1,6,2,5,7,3,4]=>000011=>6
[1,6,2,5,7,4,3]=>001011=>6
[1,6,2,7,3,4,5]=>000011=>6
[1,6,2,7,3,5,4]=>000111=>6
[1,6,2,7,4,3,5]=>001011=>6
[1,6,2,7,4,5,3]=>000111=>6
[1,6,2,7,5,3,4]=>000111=>6
[1,6,2,7,5,4,3]=>001111=>6
[1,6,3,2,4,5,7]=>010010=>3
[1,6,3,2,4,7,5]=>010011=>6
[1,6,3,2,5,4,7]=>010110=>6
[1,6,3,2,5,7,4]=>010011=>6
[1,6,3,2,7,4,5]=>010011=>6
[1,6,3,2,7,5,4]=>010111=>6
[1,6,3,4,2,5,7]=>001010=>6
[1,6,3,4,2,7,5]=>001011=>6
[1,6,3,4,5,2,7]=>000110=>6
[1,6,3,4,5,7,2]=>000011=>6
[1,6,3,4,7,2,5]=>000011=>6
[1,6,3,4,7,5,2]=>000111=>6
[1,6,3,5,2,4,7]=>000110=>6
[1,6,3,5,2,7,4]=>000111=>6
[1,6,3,5,4,2,7]=>001110=>6
[1,6,3,5,4,7,2]=>000111=>6
[1,6,3,5,7,2,4]=>000011=>6
[1,6,3,5,7,4,2]=>001011=>6
[1,6,3,7,2,4,5]=>000011=>6
[1,6,3,7,2,5,4]=>000111=>6
[1,6,3,7,4,2,5]=>001011=>6
[1,6,3,7,4,5,2]=>000111=>6
[1,6,3,7,5,2,4]=>000111=>6
[1,6,3,7,5,4,2]=>001111=>6
[1,6,4,2,3,5,7]=>001010=>6
[1,6,4,2,3,7,5]=>001011=>6
[1,6,4,2,5,3,7]=>001110=>6
[1,6,4,2,5,7,3]=>001011=>6
[1,6,4,2,7,3,5]=>001011=>6
[1,6,4,2,7,5,3]=>001111=>6
[1,6,4,3,2,5,7]=>011010=>6
[1,6,4,3,2,7,5]=>011011=>3
[1,6,4,3,5,2,7]=>001110=>6
[1,6,4,3,5,7,2]=>001011=>6
[1,6,4,3,7,2,5]=>001011=>6
[1,6,4,3,7,5,2]=>001111=>6
[1,6,4,5,2,3,7]=>000110=>6
[1,6,4,5,2,7,3]=>000111=>6
[1,6,4,5,3,2,7]=>010110=>6
[1,6,4,5,3,7,2]=>000111=>6
[1,6,4,5,7,2,3]=>000011=>6
[1,6,4,5,7,3,2]=>010011=>6
[1,6,4,7,2,3,5]=>000011=>6
[1,6,4,7,2,5,3]=>000111=>6
[1,6,4,7,3,2,5]=>010011=>6
[1,6,4,7,3,5,2]=>000111=>6
[1,6,4,7,5,2,3]=>000111=>6
[1,6,4,7,5,3,2]=>010111=>6
[1,6,5,2,3,4,7]=>000110=>6
[1,6,5,2,3,7,4]=>000111=>6
[1,6,5,2,4,3,7]=>001110=>6
[1,6,5,2,4,7,3]=>000111=>6
[1,6,5,2,7,3,4]=>000111=>6
[1,6,5,2,7,4,3]=>001111=>6
[1,6,5,3,2,4,7]=>010110=>6
[1,6,5,3,2,7,4]=>010111=>6
[1,6,5,3,4,2,7]=>001110=>6
[1,6,5,3,4,7,2]=>000111=>6
[1,6,5,3,7,2,4]=>000111=>6
[1,6,5,3,7,4,2]=>001111=>6
[1,6,5,4,2,3,7]=>001110=>6
[1,6,5,4,2,7,3]=>001111=>6
[1,6,5,4,3,2,7]=>011110=>6
[1,6,5,4,3,7,2]=>001111=>6
[1,6,5,4,7,2,3]=>000111=>6
[1,6,5,4,7,3,2]=>010111=>6
[1,6,5,7,2,3,4]=>000011=>6
[1,6,5,7,2,4,3]=>001011=>6
[1,6,5,7,3,2,4]=>010011=>6
[1,6,5,7,3,4,2]=>001011=>6
[1,6,5,7,4,2,3]=>001011=>6
[1,6,5,7,4,3,2]=>011011=>3
[1,6,7,2,3,4,5]=>000001=>6
[1,6,7,2,3,5,4]=>000101=>6
[1,6,7,2,4,3,5]=>001001=>3
[1,6,7,2,4,5,3]=>000101=>6
[1,6,7,2,5,3,4]=>000101=>6
[1,6,7,2,5,4,3]=>001101=>6
[1,6,7,3,2,4,5]=>010001=>6
[1,6,7,3,2,5,4]=>010101=>2
[1,6,7,3,4,2,5]=>001001=>3
[1,6,7,3,4,5,2]=>000101=>6
[1,6,7,3,5,2,4]=>000101=>6
[1,6,7,3,5,4,2]=>001101=>6
[1,6,7,4,2,3,5]=>001001=>3
[1,6,7,4,2,5,3]=>001101=>6
[1,6,7,4,3,2,5]=>011001=>6
[1,6,7,4,3,5,2]=>001101=>6
[1,6,7,4,5,2,3]=>000101=>6
[1,6,7,4,5,3,2]=>010101=>2
[1,6,7,5,2,3,4]=>000101=>6
[1,6,7,5,2,4,3]=>001101=>6
[1,6,7,5,3,2,4]=>010101=>2
[1,6,7,5,3,4,2]=>001101=>6
[1,6,7,5,4,2,3]=>001101=>6
[1,6,7,5,4,3,2]=>011101=>6
[1,7,2,3,4,5,6]=>000001=>6
[1,7,2,3,4,6,5]=>000011=>6
[1,7,2,3,5,4,6]=>000101=>6
[1,7,2,3,5,6,4]=>000011=>6
[1,7,2,3,6,4,5]=>000011=>6
[1,7,2,3,6,5,4]=>000111=>6
[1,7,2,4,3,5,6]=>001001=>3
[1,7,2,4,3,6,5]=>001011=>6
[1,7,2,4,5,3,6]=>000101=>6
[1,7,2,4,5,6,3]=>000011=>6
[1,7,2,4,6,3,5]=>000011=>6
[1,7,2,4,6,5,3]=>000111=>6
[1,7,2,5,3,4,6]=>000101=>6
[1,7,2,5,3,6,4]=>000111=>6
[1,7,2,5,4,3,6]=>001101=>6
[1,7,2,5,4,6,3]=>000111=>6
[1,7,2,5,6,3,4]=>000011=>6
[1,7,2,5,6,4,3]=>001011=>6
[1,7,2,6,3,4,5]=>000011=>6
[1,7,2,6,3,5,4]=>000111=>6
[1,7,2,6,4,3,5]=>001011=>6
[1,7,2,6,4,5,3]=>000111=>6
[1,7,2,6,5,3,4]=>000111=>6
[1,7,2,6,5,4,3]=>001111=>6
[1,7,3,2,4,5,6]=>010001=>6
[1,7,3,2,4,6,5]=>010011=>6
[1,7,3,2,5,4,6]=>010101=>2
[1,7,3,2,5,6,4]=>010011=>6
[1,7,3,2,6,4,5]=>010011=>6
[1,7,3,2,6,5,4]=>010111=>6
[1,7,3,4,2,5,6]=>001001=>3
[1,7,3,4,2,6,5]=>001011=>6
[1,7,3,4,5,2,6]=>000101=>6
[1,7,3,4,5,6,2]=>000011=>6
[1,7,3,4,6,2,5]=>000011=>6
[1,7,3,4,6,5,2]=>000111=>6
[1,7,3,5,2,4,6]=>000101=>6
[1,7,3,5,2,6,4]=>000111=>6
[1,7,3,5,4,2,6]=>001101=>6
[1,7,3,5,4,6,2]=>000111=>6
[1,7,3,5,6,2,4]=>000011=>6
[1,7,3,5,6,4,2]=>001011=>6
[1,7,3,6,2,4,5]=>000011=>6
[1,7,3,6,2,5,4]=>000111=>6
[1,7,3,6,4,2,5]=>001011=>6
[1,7,3,6,4,5,2]=>000111=>6
[1,7,3,6,5,2,4]=>000111=>6
[1,7,3,6,5,4,2]=>001111=>6
[1,7,4,2,3,5,6]=>001001=>3
[1,7,4,2,3,6,5]=>001011=>6
[1,7,4,2,5,3,6]=>001101=>6
[1,7,4,2,5,6,3]=>001011=>6
[1,7,4,2,6,3,5]=>001011=>6
[1,7,4,2,6,5,3]=>001111=>6
[1,7,4,3,2,5,6]=>011001=>6
[1,7,4,3,2,6,5]=>011011=>3
[1,7,4,3,5,2,6]=>001101=>6
[1,7,4,3,5,6,2]=>001011=>6
[1,7,4,3,6,2,5]=>001011=>6
[1,7,4,3,6,5,2]=>001111=>6
[1,7,4,5,2,3,6]=>000101=>6
[1,7,4,5,2,6,3]=>000111=>6
[1,7,4,5,3,2,6]=>010101=>2
[1,7,4,5,3,6,2]=>000111=>6
[1,7,4,5,6,2,3]=>000011=>6
[1,7,4,5,6,3,2]=>010011=>6
[1,7,4,6,2,3,5]=>000011=>6
[1,7,4,6,2,5,3]=>000111=>6
[1,7,4,6,3,2,5]=>010011=>6
[1,7,4,6,3,5,2]=>000111=>6
[1,7,4,6,5,2,3]=>000111=>6
[1,7,4,6,5,3,2]=>010111=>6
[1,7,5,2,3,4,6]=>000101=>6
[1,7,5,2,3,6,4]=>000111=>6
[1,7,5,2,4,3,6]=>001101=>6
[1,7,5,2,4,6,3]=>000111=>6
[1,7,5,2,6,3,4]=>000111=>6
[1,7,5,2,6,4,3]=>001111=>6
[1,7,5,3,2,4,6]=>010101=>2
[1,7,5,3,2,6,4]=>010111=>6
[1,7,5,3,4,2,6]=>001101=>6
[1,7,5,3,4,6,2]=>000111=>6
[1,7,5,3,6,2,4]=>000111=>6
[1,7,5,3,6,4,2]=>001111=>6
[1,7,5,4,2,3,6]=>001101=>6
[1,7,5,4,2,6,3]=>001111=>6
[1,7,5,4,3,2,6]=>011101=>6
[1,7,5,4,3,6,2]=>001111=>6
[1,7,5,4,6,2,3]=>000111=>6
[1,7,5,4,6,3,2]=>010111=>6
[1,7,5,6,2,3,4]=>000011=>6
[1,7,5,6,2,4,3]=>001011=>6
[1,7,5,6,3,2,4]=>010011=>6
[1,7,5,6,3,4,2]=>001011=>6
[1,7,5,6,4,2,3]=>001011=>6
[1,7,5,6,4,3,2]=>011011=>3
[1,7,6,2,3,4,5]=>000011=>6
[1,7,6,2,3,5,4]=>000111=>6
[1,7,6,2,4,3,5]=>001011=>6
[1,7,6,2,4,5,3]=>000111=>6
[1,7,6,2,5,3,4]=>000111=>6
[1,7,6,2,5,4,3]=>001111=>6
[1,7,6,3,2,4,5]=>010011=>6
[1,7,6,3,2,5,4]=>010111=>6
[1,7,6,3,4,2,5]=>001011=>6
[1,7,6,3,4,5,2]=>000111=>6
[1,7,6,3,5,2,4]=>000111=>6
[1,7,6,3,5,4,2]=>001111=>6
[1,7,6,4,2,3,5]=>001011=>6
[1,7,6,4,2,5,3]=>001111=>6
[1,7,6,4,3,2,5]=>011011=>3
[1,7,6,4,3,5,2]=>001111=>6
[1,7,6,4,5,2,3]=>000111=>6
[1,7,6,4,5,3,2]=>010111=>6
[1,7,6,5,2,3,4]=>000111=>6
[1,7,6,5,2,4,3]=>001111=>6
[1,7,6,5,3,2,4]=>010111=>6
[1,7,6,5,3,4,2]=>001111=>6
[1,7,6,5,4,2,3]=>001111=>6
[1,7,6,5,4,3,2]=>011111=>6
[2,1,3,4,5,6,7]=>100000=>6
[2,1,3,4,5,7,6]=>100001=>6
[2,1,3,4,6,5,7]=>100010=>6
[2,1,3,4,6,7,5]=>100001=>6
[2,1,3,4,7,5,6]=>100001=>6
[2,1,3,4,7,6,5]=>100011=>6
[2,1,3,5,4,6,7]=>100100=>3
[2,1,3,5,4,7,6]=>100101=>6
[2,1,3,5,6,4,7]=>100010=>6
[2,1,3,5,6,7,4]=>100001=>6
[2,1,3,5,7,4,6]=>100001=>6
[2,1,3,5,7,6,4]=>100011=>6
[2,1,3,6,4,5,7]=>100010=>6
[2,1,3,6,4,7,5]=>100011=>6
[2,1,3,6,5,4,7]=>100110=>6
[2,1,3,6,5,7,4]=>100011=>6
[2,1,3,6,7,4,5]=>100001=>6
[2,1,3,6,7,5,4]=>100101=>6
[2,1,3,7,4,5,6]=>100001=>6
[2,1,3,7,4,6,5]=>100011=>6
[2,1,3,7,5,4,6]=>100101=>6
[2,1,3,7,5,6,4]=>100011=>6
[2,1,3,7,6,4,5]=>100011=>6
[2,1,3,7,6,5,4]=>100111=>6
[2,1,4,3,5,6,7]=>101000=>6
[2,1,4,3,5,7,6]=>101001=>6
[2,1,4,3,6,5,7]=>101010=>2
[2,1,4,3,6,7,5]=>101001=>6
[2,1,4,3,7,5,6]=>101001=>6
[2,1,4,3,7,6,5]=>101011=>6
[2,1,4,5,3,6,7]=>100100=>3
[2,1,4,5,3,7,6]=>100101=>6
[2,1,4,5,6,3,7]=>100010=>6
[2,1,4,5,6,7,3]=>100001=>6
[2,1,4,5,7,3,6]=>100001=>6
[2,1,4,5,7,6,3]=>100011=>6
[2,1,4,6,3,5,7]=>100010=>6
[2,1,4,6,3,7,5]=>100011=>6
[2,1,4,6,5,3,7]=>100110=>6
[2,1,4,6,5,7,3]=>100011=>6
[2,1,4,6,7,3,5]=>100001=>6
[2,1,4,6,7,5,3]=>100101=>6
[2,1,4,7,3,5,6]=>100001=>6
[2,1,4,7,3,6,5]=>100011=>6
[2,1,4,7,5,3,6]=>100101=>6
[2,1,4,7,5,6,3]=>100011=>6
[2,1,4,7,6,3,5]=>100011=>6
[2,1,4,7,6,5,3]=>100111=>6
[2,1,5,3,4,6,7]=>100100=>3
[2,1,5,3,4,7,6]=>100101=>6
[2,1,5,3,6,4,7]=>100110=>6
[2,1,5,3,6,7,4]=>100101=>6
[2,1,5,3,7,4,6]=>100101=>6
[2,1,5,3,7,6,4]=>100111=>6
[2,1,5,4,3,6,7]=>101100=>6
[2,1,5,4,3,7,6]=>101101=>3
[2,1,5,4,6,3,7]=>100110=>6
[2,1,5,4,6,7,3]=>100101=>6
[2,1,5,4,7,3,6]=>100101=>6
[2,1,5,4,7,6,3]=>100111=>6
[2,1,5,6,3,4,7]=>100010=>6
[2,1,5,6,3,7,4]=>100011=>6
[2,1,5,6,4,3,7]=>101010=>2
[2,1,5,6,4,7,3]=>100011=>6
[2,1,5,6,7,3,4]=>100001=>6
[2,1,5,6,7,4,3]=>101001=>6
[2,1,5,7,3,4,6]=>100001=>6
[2,1,5,7,3,6,4]=>100011=>6
[2,1,5,7,4,3,6]=>101001=>6
[2,1,5,7,4,6,3]=>100011=>6
[2,1,5,7,6,3,4]=>100011=>6
[2,1,5,7,6,4,3]=>101011=>6
[2,1,6,3,4,5,7]=>100010=>6
[2,1,6,3,4,7,5]=>100011=>6
[2,1,6,3,5,4,7]=>100110=>6
[2,1,6,3,5,7,4]=>100011=>6
[2,1,6,3,7,4,5]=>100011=>6
[2,1,6,3,7,5,4]=>100111=>6
[2,1,6,4,3,5,7]=>101010=>2
[2,1,6,4,3,7,5]=>101011=>6
[2,1,6,4,5,3,7]=>100110=>6
[2,1,6,4,5,7,3]=>100011=>6
[2,1,6,4,7,3,5]=>100011=>6
[2,1,6,4,7,5,3]=>100111=>6
[2,1,6,5,3,4,7]=>100110=>6
[2,1,6,5,3,7,4]=>100111=>6
[2,1,6,5,4,3,7]=>101110=>6
[2,1,6,5,4,7,3]=>100111=>6
[2,1,6,5,7,3,4]=>100011=>6
[2,1,6,5,7,4,3]=>101011=>6
[2,1,6,7,3,4,5]=>100001=>6
[2,1,6,7,3,5,4]=>100101=>6
[2,1,6,7,4,3,5]=>101001=>6
[2,1,6,7,4,5,3]=>100101=>6
[2,1,6,7,5,3,4]=>100101=>6
[2,1,6,7,5,4,3]=>101101=>3
[2,1,7,3,4,5,6]=>100001=>6
[2,1,7,3,4,6,5]=>100011=>6
[2,1,7,3,5,4,6]=>100101=>6
[2,1,7,3,5,6,4]=>100011=>6
[2,1,7,3,6,4,5]=>100011=>6
[2,1,7,3,6,5,4]=>100111=>6
[2,1,7,4,3,5,6]=>101001=>6
[2,1,7,4,3,6,5]=>101011=>6
[2,1,7,4,5,3,6]=>100101=>6
[2,1,7,4,5,6,3]=>100011=>6
[2,1,7,4,6,3,5]=>100011=>6
[2,1,7,4,6,5,3]=>100111=>6
[2,1,7,5,3,4,6]=>100101=>6
[2,1,7,5,3,6,4]=>100111=>6
[2,1,7,5,4,3,6]=>101101=>3
[2,1,7,5,4,6,3]=>100111=>6
[2,1,7,5,6,3,4]=>100011=>6
[2,1,7,5,6,4,3]=>101011=>6
[2,1,7,6,3,4,5]=>100011=>6
[2,1,7,6,3,5,4]=>100111=>6
[2,1,7,6,4,3,5]=>101011=>6
[2,1,7,6,4,5,3]=>100111=>6
[2,1,7,6,5,3,4]=>100111=>6
[2,1,7,6,5,4,3]=>101111=>6
[2,3,1,4,5,6,7]=>010000=>6
[2,3,1,4,5,7,6]=>010001=>6
[2,3,1,4,6,5,7]=>010010=>3
[2,3,1,4,6,7,5]=>010001=>6
[2,3,1,4,7,5,6]=>010001=>6
[2,3,1,4,7,6,5]=>010011=>6
[2,3,1,5,4,6,7]=>010100=>6
[2,3,1,5,4,7,6]=>010101=>2
[2,3,1,5,6,4,7]=>010010=>3
[2,3,1,5,6,7,4]=>010001=>6
[2,3,1,5,7,4,6]=>010001=>6
[2,3,1,5,7,6,4]=>010011=>6
[2,3,1,6,4,5,7]=>010010=>3
[2,3,1,6,4,7,5]=>010011=>6
[2,3,1,6,5,4,7]=>010110=>6
[2,3,1,6,5,7,4]=>010011=>6
[2,3,1,6,7,4,5]=>010001=>6
[2,3,1,6,7,5,4]=>010101=>2
[2,3,1,7,4,5,6]=>010001=>6
[2,3,1,7,4,6,5]=>010011=>6
[2,3,1,7,5,4,6]=>010101=>2
[2,3,1,7,5,6,4]=>010011=>6
[2,3,1,7,6,4,5]=>010011=>6
[2,3,1,7,6,5,4]=>010111=>6
[2,3,4,1,5,6,7]=>001000=>6
[2,3,4,1,5,7,6]=>001001=>3
[2,3,4,1,6,5,7]=>001010=>6
[2,3,4,1,6,7,5]=>001001=>3
[2,3,4,1,7,5,6]=>001001=>3
[2,3,4,1,7,6,5]=>001011=>6
[2,3,4,5,1,6,7]=>000100=>6
[2,3,4,5,1,7,6]=>000101=>6
[2,3,4,5,6,1,7]=>000010=>6
[2,3,4,5,6,7,1]=>000001=>6
[2,3,4,5,7,1,6]=>000001=>6
[2,3,4,5,7,6,1]=>000011=>6
[2,3,4,6,1,5,7]=>000010=>6
[2,3,4,6,1,7,5]=>000011=>6
[2,3,4,6,5,1,7]=>000110=>6
[2,3,4,6,5,7,1]=>000011=>6
[2,3,4,6,7,1,5]=>000001=>6
[2,3,4,6,7,5,1]=>000101=>6
[2,3,4,7,1,5,6]=>000001=>6
[2,3,4,7,1,6,5]=>000011=>6
[2,3,4,7,5,1,6]=>000101=>6
[2,3,4,7,5,6,1]=>000011=>6
[2,3,4,7,6,1,5]=>000011=>6
[2,3,4,7,6,5,1]=>000111=>6
[2,3,5,1,4,6,7]=>000100=>6
[2,3,5,1,4,7,6]=>000101=>6
[2,3,5,1,6,4,7]=>000110=>6
[2,3,5,1,6,7,4]=>000101=>6
[2,3,5,1,7,4,6]=>000101=>6
[2,3,5,1,7,6,4]=>000111=>6
[2,3,5,4,1,6,7]=>001100=>6
[2,3,5,4,1,7,6]=>001101=>6
[2,3,5,4,6,1,7]=>000110=>6
[2,3,5,4,6,7,1]=>000101=>6
[2,3,5,4,7,1,6]=>000101=>6
[2,3,5,4,7,6,1]=>000111=>6
[2,3,5,6,1,4,7]=>000010=>6
[2,3,5,6,1,7,4]=>000011=>6
[2,3,5,6,4,1,7]=>001010=>6
[2,3,5,6,4,7,1]=>000011=>6
[2,3,5,6,7,1,4]=>000001=>6
[2,3,5,6,7,4,1]=>001001=>3
[2,3,5,7,1,4,6]=>000001=>6
[2,3,5,7,1,6,4]=>000011=>6
[2,3,5,7,4,1,6]=>001001=>3
[2,3,5,7,4,6,1]=>000011=>6
[2,3,5,7,6,1,4]=>000011=>6
[2,3,5,7,6,4,1]=>001011=>6
[2,3,6,1,4,5,7]=>000010=>6
[2,3,6,1,4,7,5]=>000011=>6
[2,3,6,1,5,4,7]=>000110=>6
[2,3,6,1,5,7,4]=>000011=>6
[2,3,6,1,7,4,5]=>000011=>6
[2,3,6,1,7,5,4]=>000111=>6
[2,3,6,4,1,5,7]=>001010=>6
[2,3,6,4,1,7,5]=>001011=>6
[2,3,6,4,5,1,7]=>000110=>6
[2,3,6,4,5,7,1]=>000011=>6
[2,3,6,4,7,1,5]=>000011=>6
[2,3,6,4,7,5,1]=>000111=>6
[2,3,6,5,1,4,7]=>000110=>6
[2,3,6,5,1,7,4]=>000111=>6
[2,3,6,5,4,1,7]=>001110=>6
[2,3,6,5,4,7,1]=>000111=>6
[2,3,6,5,7,1,4]=>000011=>6
[2,3,6,5,7,4,1]=>001011=>6
[2,3,6,7,1,4,5]=>000001=>6
[2,3,6,7,1,5,4]=>000101=>6
[2,3,6,7,4,1,5]=>001001=>3
[2,3,6,7,4,5,1]=>000101=>6
[2,3,6,7,5,1,4]=>000101=>6
[2,3,6,7,5,4,1]=>001101=>6
[2,3,7,1,4,5,6]=>000001=>6
[2,3,7,1,4,6,5]=>000011=>6
[2,3,7,1,5,4,6]=>000101=>6
[2,3,7,1,5,6,4]=>000011=>6
[2,3,7,1,6,4,5]=>000011=>6
[2,3,7,1,6,5,4]=>000111=>6
[2,3,7,4,1,5,6]=>001001=>3
[2,3,7,4,1,6,5]=>001011=>6
[2,3,7,4,5,1,6]=>000101=>6
[2,3,7,4,5,6,1]=>000011=>6
[2,3,7,4,6,1,5]=>000011=>6
[2,3,7,4,6,5,1]=>000111=>6
[2,3,7,5,1,4,6]=>000101=>6
[2,3,7,5,1,6,4]=>000111=>6
[2,3,7,5,4,1,6]=>001101=>6
[2,3,7,5,4,6,1]=>000111=>6
[2,3,7,5,6,1,4]=>000011=>6
[2,3,7,5,6,4,1]=>001011=>6
[2,3,7,6,1,4,5]=>000011=>6
[2,3,7,6,1,5,4]=>000111=>6
[2,3,7,6,4,1,5]=>001011=>6
[2,3,7,6,4,5,1]=>000111=>6
[2,3,7,6,5,1,4]=>000111=>6
[2,3,7,6,5,4,1]=>001111=>6
[2,4,1,3,5,6,7]=>001000=>6
[2,4,1,3,5,7,6]=>001001=>3
[2,4,1,3,6,5,7]=>001010=>6
[2,4,1,3,6,7,5]=>001001=>3
[2,4,1,3,7,5,6]=>001001=>3
[2,4,1,3,7,6,5]=>001011=>6
[2,4,1,5,3,6,7]=>001100=>6
[2,4,1,5,3,7,6]=>001101=>6
[2,4,1,5,6,3,7]=>001010=>6
[2,4,1,5,6,7,3]=>001001=>3
[2,4,1,5,7,3,6]=>001001=>3
[2,4,1,5,7,6,3]=>001011=>6
[2,4,1,6,3,5,7]=>001010=>6
[2,4,1,6,3,7,5]=>001011=>6
[2,4,1,6,5,3,7]=>001110=>6
[2,4,1,6,5,7,3]=>001011=>6
[2,4,1,6,7,3,5]=>001001=>3
[2,4,1,6,7,5,3]=>001101=>6
[2,4,1,7,3,5,6]=>001001=>3
[2,4,1,7,3,6,5]=>001011=>6
[2,4,1,7,5,3,6]=>001101=>6
[2,4,1,7,5,6,3]=>001011=>6
[2,4,1,7,6,3,5]=>001011=>6
[2,4,1,7,6,5,3]=>001111=>6
[2,4,3,1,5,6,7]=>011000=>6
[2,4,3,1,5,7,6]=>011001=>6
[2,4,3,1,6,5,7]=>011010=>6
[2,4,3,1,6,7,5]=>011001=>6
[2,4,3,1,7,5,6]=>011001=>6
[2,4,3,1,7,6,5]=>011011=>3
[2,4,3,5,1,6,7]=>001100=>6
[2,4,3,5,1,7,6]=>001101=>6
[2,4,3,5,6,1,7]=>001010=>6
[2,4,3,5,6,7,1]=>001001=>3
[2,4,3,5,7,1,6]=>001001=>3
[2,4,3,5,7,6,1]=>001011=>6
[2,4,3,6,1,5,7]=>001010=>6
[2,4,3,6,1,7,5]=>001011=>6
[2,4,3,6,5,1,7]=>001110=>6
[2,4,3,6,5,7,1]=>001011=>6
[2,4,3,6,7,1,5]=>001001=>3
[2,4,3,6,7,5,1]=>001101=>6
[2,4,3,7,1,5,6]=>001001=>3
[2,4,3,7,1,6,5]=>001011=>6
[2,4,3,7,5,1,6]=>001101=>6
[2,4,3,7,5,6,1]=>001011=>6
[2,4,3,7,6,1,5]=>001011=>6
[2,4,3,7,6,5,1]=>001111=>6
[2,4,5,1,3,6,7]=>000100=>6
[2,4,5,1,3,7,6]=>000101=>6
[2,4,5,1,6,3,7]=>000110=>6
[2,4,5,1,6,7,3]=>000101=>6
[2,4,5,1,7,3,6]=>000101=>6
[2,4,5,1,7,6,3]=>000111=>6
[2,4,5,3,1,6,7]=>010100=>6
[2,4,5,3,1,7,6]=>010101=>2
[2,4,5,3,6,1,7]=>000110=>6
[2,4,5,3,6,7,1]=>000101=>6
[2,4,5,3,7,1,6]=>000101=>6
[2,4,5,3,7,6,1]=>000111=>6
[2,4,5,6,1,3,7]=>000010=>6
[2,4,5,6,1,7,3]=>000011=>6
[2,4,5,6,3,1,7]=>010010=>3
[2,4,5,6,3,7,1]=>000011=>6
[2,4,5,6,7,1,3]=>000001=>6
[2,4,5,6,7,3,1]=>010001=>6
[2,4,5,7,1,3,6]=>000001=>6
[2,4,5,7,1,6,3]=>000011=>6
[2,4,5,7,3,1,6]=>010001=>6
[2,4,5,7,3,6,1]=>000011=>6
[2,4,5,7,6,1,3]=>000011=>6
[2,4,5,7,6,3,1]=>010011=>6
[2,4,6,1,3,5,7]=>000010=>6
[2,4,6,1,3,7,5]=>000011=>6
[2,4,6,1,5,3,7]=>000110=>6
[2,4,6,1,5,7,3]=>000011=>6
[2,4,6,1,7,3,5]=>000011=>6
[2,4,6,1,7,5,3]=>000111=>6
[2,4,6,3,1,5,7]=>010010=>3
[2,4,6,3,1,7,5]=>010011=>6
[2,4,6,3,5,1,7]=>000110=>6
[2,4,6,3,5,7,1]=>000011=>6
[2,4,6,3,7,1,5]=>000011=>6
[2,4,6,3,7,5,1]=>000111=>6
[2,4,6,5,1,3,7]=>000110=>6
[2,4,6,5,1,7,3]=>000111=>6
[2,4,6,5,3,1,7]=>010110=>6
[2,4,6,5,3,7,1]=>000111=>6
[2,4,6,5,7,1,3]=>000011=>6
[2,4,6,5,7,3,1]=>010011=>6
[2,4,6,7,1,3,5]=>000001=>6
[2,4,6,7,1,5,3]=>000101=>6
[2,4,6,7,3,1,5]=>010001=>6
[2,4,6,7,3,5,1]=>000101=>6
[2,4,6,7,5,1,3]=>000101=>6
[2,4,6,7,5,3,1]=>010101=>2
[2,4,7,1,3,5,6]=>000001=>6
[2,4,7,1,3,6,5]=>000011=>6
[2,4,7,1,5,3,6]=>000101=>6
[2,4,7,1,5,6,3]=>000011=>6
[2,4,7,1,6,3,5]=>000011=>6
[2,4,7,1,6,5,3]=>000111=>6
[2,4,7,3,1,5,6]=>010001=>6
[2,4,7,3,1,6,5]=>010011=>6
[2,4,7,3,5,1,6]=>000101=>6
[2,4,7,3,5,6,1]=>000011=>6
[2,4,7,3,6,1,5]=>000011=>6
[2,4,7,3,6,5,1]=>000111=>6
[2,4,7,5,1,3,6]=>000101=>6
[2,4,7,5,1,6,3]=>000111=>6
[2,4,7,5,3,1,6]=>010101=>2
[2,4,7,5,3,6,1]=>000111=>6
[2,4,7,5,6,1,3]=>000011=>6
[2,4,7,5,6,3,1]=>010011=>6
[2,4,7,6,1,3,5]=>000011=>6
[2,4,7,6,1,5,3]=>000111=>6
[2,4,7,6,3,1,5]=>010011=>6
[2,4,7,6,3,5,1]=>000111=>6
[2,4,7,6,5,1,3]=>000111=>6
[2,4,7,6,5,3,1]=>010111=>6
[2,5,1,3,4,6,7]=>000100=>6
[2,5,1,3,4,7,6]=>000101=>6
[2,5,1,3,6,4,7]=>000110=>6
[2,5,1,3,6,7,4]=>000101=>6
[2,5,1,3,7,4,6]=>000101=>6
[2,5,1,3,7,6,4]=>000111=>6
[2,5,1,4,3,6,7]=>001100=>6
[2,5,1,4,3,7,6]=>001101=>6
[2,5,1,4,6,3,7]=>000110=>6
[2,5,1,4,6,7,3]=>000101=>6
[2,5,1,4,7,3,6]=>000101=>6
[2,5,1,4,7,6,3]=>000111=>6
[2,5,1,6,3,4,7]=>000110=>6
[2,5,1,6,3,7,4]=>000111=>6
[2,5,1,6,4,3,7]=>001110=>6
[2,5,1,6,4,7,3]=>000111=>6
[2,5,1,6,7,3,4]=>000101=>6
[2,5,1,6,7,4,3]=>001101=>6
[2,5,1,7,3,4,6]=>000101=>6
[2,5,1,7,3,6,4]=>000111=>6
[2,5,1,7,4,3,6]=>001101=>6
[2,5,1,7,4,6,3]=>000111=>6
[2,5,1,7,6,3,4]=>000111=>6
[2,5,1,7,6,4,3]=>001111=>6
[2,5,3,1,4,6,7]=>010100=>6
[2,5,3,1,4,7,6]=>010101=>2
[2,5,3,1,6,4,7]=>010110=>6
[2,5,3,1,6,7,4]=>010101=>2
[2,5,3,1,7,4,6]=>010101=>2
[2,5,3,1,7,6,4]=>010111=>6
[2,5,3,4,1,6,7]=>001100=>6
[2,5,3,4,1,7,6]=>001101=>6
[2,5,3,4,6,1,7]=>000110=>6
[2,5,3,4,6,7,1]=>000101=>6
[2,5,3,4,7,1,6]=>000101=>6
[2,5,3,4,7,6,1]=>000111=>6
[2,5,3,6,1,4,7]=>000110=>6
[2,5,3,6,1,7,4]=>000111=>6
[2,5,3,6,4,1,7]=>001110=>6
[2,5,3,6,4,7,1]=>000111=>6
[2,5,3,6,7,1,4]=>000101=>6
[2,5,3,6,7,4,1]=>001101=>6
[2,5,3,7,1,4,6]=>000101=>6
[2,5,3,7,1,6,4]=>000111=>6
[2,5,3,7,4,1,6]=>001101=>6
[2,5,3,7,4,6,1]=>000111=>6
[2,5,3,7,6,1,4]=>000111=>6
[2,5,3,7,6,4,1]=>001111=>6
[2,5,4,1,3,6,7]=>001100=>6
[2,5,4,1,3,7,6]=>001101=>6
[2,5,4,1,6,3,7]=>001110=>6
[2,5,4,1,6,7,3]=>001101=>6
[2,5,4,1,7,3,6]=>001101=>6
[2,5,4,1,7,6,3]=>001111=>6
[2,5,4,3,1,6,7]=>011100=>6
[2,5,4,3,1,7,6]=>011101=>6
[2,5,4,3,6,1,7]=>001110=>6
[2,5,4,3,6,7,1]=>001101=>6
[2,5,4,3,7,1,6]=>001101=>6
[2,5,4,3,7,6,1]=>001111=>6
[2,5,4,6,1,3,7]=>000110=>6
[2,5,4,6,1,7,3]=>000111=>6
[2,5,4,6,3,1,7]=>010110=>6
[2,5,4,6,3,7,1]=>000111=>6
[2,5,4,6,7,1,3]=>000101=>6
[2,5,4,6,7,3,1]=>010101=>2
[2,5,4,7,1,3,6]=>000101=>6
[2,5,4,7,1,6,3]=>000111=>6
[2,5,4,7,3,1,6]=>010101=>2
[2,5,4,7,3,6,1]=>000111=>6
[2,5,4,7,6,1,3]=>000111=>6
[2,5,4,7,6,3,1]=>010111=>6
[2,5,6,1,3,4,7]=>000010=>6
[2,5,6,1,3,7,4]=>000011=>6
[2,5,6,1,4,3,7]=>001010=>6
[2,5,6,1,4,7,3]=>000011=>6
[2,5,6,1,7,3,4]=>000011=>6
[2,5,6,1,7,4,3]=>001011=>6
[2,5,6,3,1,4,7]=>010010=>3
[2,5,6,3,1,7,4]=>010011=>6
[2,5,6,3,4,1,7]=>001010=>6
[2,5,6,3,4,7,1]=>000011=>6
[2,5,6,3,7,1,4]=>000011=>6
[2,5,6,3,7,4,1]=>001011=>6
[2,5,6,4,1,3,7]=>001010=>6
[2,5,6,4,1,7,3]=>001011=>6
[2,5,6,4,3,1,7]=>011010=>6
[2,5,6,4,3,7,1]=>001011=>6
[2,5,6,4,7,1,3]=>000011=>6
[2,5,6,4,7,3,1]=>010011=>6
[2,5,6,7,1,3,4]=>000001=>6
[2,5,6,7,1,4,3]=>001001=>3
[2,5,6,7,3,1,4]=>010001=>6
[2,5,6,7,3,4,1]=>001001=>3
[2,5,6,7,4,1,3]=>001001=>3
[2,5,6,7,4,3,1]=>011001=>6
[2,5,7,1,3,4,6]=>000001=>6
[2,5,7,1,3,6,4]=>000011=>6
[2,5,7,1,4,3,6]=>001001=>3
[2,5,7,1,4,6,3]=>000011=>6
[2,5,7,1,6,3,4]=>000011=>6
[2,5,7,1,6,4,3]=>001011=>6
[2,5,7,3,1,4,6]=>010001=>6
[2,5,7,3,1,6,4]=>010011=>6
[2,5,7,3,4,1,6]=>001001=>3
[2,5,7,3,4,6,1]=>000011=>6
[2,5,7,3,6,1,4]=>000011=>6
[2,5,7,3,6,4,1]=>001011=>6
[2,5,7,4,1,3,6]=>001001=>3
[2,5,7,4,1,6,3]=>001011=>6
[2,5,7,4,3,1,6]=>011001=>6
[2,5,7,4,3,6,1]=>001011=>6
[2,5,7,4,6,1,3]=>000011=>6
[2,5,7,4,6,3,1]=>010011=>6
[2,5,7,6,1,3,4]=>000011=>6
[2,5,7,6,1,4,3]=>001011=>6
[2,5,7,6,3,1,4]=>010011=>6
[2,5,7,6,3,4,1]=>001011=>6
[2,5,7,6,4,1,3]=>001011=>6
[2,5,7,6,4,3,1]=>011011=>3
[2,6,1,3,4,5,7]=>000010=>6
[2,6,1,3,4,7,5]=>000011=>6
[2,6,1,3,5,4,7]=>000110=>6
[2,6,1,3,5,7,4]=>000011=>6
[2,6,1,3,7,4,5]=>000011=>6
[2,6,1,3,7,5,4]=>000111=>6
[2,6,1,4,3,5,7]=>001010=>6
[2,6,1,4,3,7,5]=>001011=>6
[2,6,1,4,5,3,7]=>000110=>6
[2,6,1,4,5,7,3]=>000011=>6
[2,6,1,4,7,3,5]=>000011=>6
[2,6,1,4,7,5,3]=>000111=>6
[2,6,1,5,3,4,7]=>000110=>6
[2,6,1,5,3,7,4]=>000111=>6
[2,6,1,5,4,3,7]=>001110=>6
[2,6,1,5,4,7,3]=>000111=>6
[2,6,1,5,7,3,4]=>000011=>6
[2,6,1,5,7,4,3]=>001011=>6
[2,6,1,7,3,4,5]=>000011=>6
[2,6,1,7,3,5,4]=>000111=>6
[2,6,1,7,4,3,5]=>001011=>6
[2,6,1,7,4,5,3]=>000111=>6
[2,6,1,7,5,3,4]=>000111=>6
[2,6,1,7,5,4,3]=>001111=>6
[2,6,3,1,4,5,7]=>010010=>3
[2,6,3,1,4,7,5]=>010011=>6
[2,6,3,1,5,4,7]=>010110=>6
[2,6,3,1,5,7,4]=>010011=>6
[2,6,3,1,7,4,5]=>010011=>6
[2,6,3,1,7,5,4]=>010111=>6
[2,6,3,4,1,5,7]=>001010=>6
[2,6,3,4,1,7,5]=>001011=>6
[2,6,3,4,5,1,7]=>000110=>6
[2,6,3,4,5,7,1]=>000011=>6
[2,6,3,4,7,1,5]=>000011=>6
[2,6,3,4,7,5,1]=>000111=>6
[2,6,3,5,1,4,7]=>000110=>6
[2,6,3,5,1,7,4]=>000111=>6
[2,6,3,5,4,1,7]=>001110=>6
[2,6,3,5,4,7,1]=>000111=>6
[2,6,3,5,7,1,4]=>000011=>6
[2,6,3,5,7,4,1]=>001011=>6
[2,6,3,7,1,4,5]=>000011=>6
[2,6,3,7,1,5,4]=>000111=>6
[2,6,3,7,4,1,5]=>001011=>6
[2,6,3,7,4,5,1]=>000111=>6
[2,6,3,7,5,1,4]=>000111=>6
[2,6,3,7,5,4,1]=>001111=>6
[2,6,4,1,3,5,7]=>001010=>6
[2,6,4,1,3,7,5]=>001011=>6
[2,6,4,1,5,3,7]=>001110=>6
[2,6,4,1,5,7,3]=>001011=>6
[2,6,4,1,7,3,5]=>001011=>6
[2,6,4,1,7,5,3]=>001111=>6
[2,6,4,3,1,5,7]=>011010=>6
[2,6,4,3,1,7,5]=>011011=>3
[2,6,4,3,5,1,7]=>001110=>6
[2,6,4,3,5,7,1]=>001011=>6
[2,6,4,3,7,1,5]=>001011=>6
[2,6,4,3,7,5,1]=>001111=>6
[2,6,4,5,1,3,7]=>000110=>6
[2,6,4,5,1,7,3]=>000111=>6
[2,6,4,5,3,1,7]=>010110=>6
[2,6,4,5,3,7,1]=>000111=>6
[2,6,4,5,7,1,3]=>000011=>6
[2,6,4,5,7,3,1]=>010011=>6
[2,6,4,7,1,3,5]=>000011=>6
[2,6,4,7,1,5,3]=>000111=>6
[2,6,4,7,3,1,5]=>010011=>6
[2,6,4,7,3,5,1]=>000111=>6
[2,6,4,7,5,1,3]=>000111=>6
[2,6,4,7,5,3,1]=>010111=>6
[2,6,5,1,3,4,7]=>000110=>6
[2,6,5,1,3,7,4]=>000111=>6
[2,6,5,1,4,3,7]=>001110=>6
[2,6,5,1,4,7,3]=>000111=>6
[2,6,5,1,7,3,4]=>000111=>6
[2,6,5,1,7,4,3]=>001111=>6
[2,6,5,3,1,4,7]=>010110=>6
[2,6,5,3,1,7,4]=>010111=>6
[2,6,5,3,4,1,7]=>001110=>6
[2,6,5,3,4,7,1]=>000111=>6
[2,6,5,3,7,1,4]=>000111=>6
[2,6,5,3,7,4,1]=>001111=>6
[2,6,5,4,1,3,7]=>001110=>6
[2,6,5,4,1,7,3]=>001111=>6
[2,6,5,4,3,1,7]=>011110=>6
[2,6,5,4,3,7,1]=>001111=>6
[2,6,5,4,7,1,3]=>000111=>6
[2,6,5,4,7,3,1]=>010111=>6
[2,6,5,7,1,3,4]=>000011=>6
[2,6,5,7,1,4,3]=>001011=>6
[2,6,5,7,3,1,4]=>010011=>6
[2,6,5,7,3,4,1]=>001011=>6
[2,6,5,7,4,1,3]=>001011=>6
[2,6,5,7,4,3,1]=>011011=>3
[2,6,7,1,3,4,5]=>000001=>6
[2,6,7,1,3,5,4]=>000101=>6
[2,6,7,1,4,3,5]=>001001=>3
[2,6,7,1,4,5,3]=>000101=>6
[2,6,7,1,5,3,4]=>000101=>6
[2,6,7,1,5,4,3]=>001101=>6
[2,6,7,3,1,4,5]=>010001=>6
[2,6,7,3,1,5,4]=>010101=>2
[2,6,7,3,4,1,5]=>001001=>3
[2,6,7,3,4,5,1]=>000101=>6
[2,6,7,3,5,1,4]=>000101=>6
[2,6,7,3,5,4,1]=>001101=>6
[2,6,7,4,1,3,5]=>001001=>3
[2,6,7,4,1,5,3]=>001101=>6
[2,6,7,4,3,1,5]=>011001=>6
[2,6,7,4,3,5,1]=>001101=>6
[2,6,7,4,5,1,3]=>000101=>6
[2,6,7,4,5,3,1]=>010101=>2
[2,6,7,5,1,3,4]=>000101=>6
[2,6,7,5,1,4,3]=>001101=>6
[2,6,7,5,3,1,4]=>010101=>2
[2,6,7,5,3,4,1]=>001101=>6
[2,6,7,5,4,1,3]=>001101=>6
[2,6,7,5,4,3,1]=>011101=>6
[2,7,1,3,4,5,6]=>000001=>6
[2,7,1,3,4,6,5]=>000011=>6
[2,7,1,3,5,4,6]=>000101=>6
[2,7,1,3,5,6,4]=>000011=>6
[2,7,1,3,6,4,5]=>000011=>6
[2,7,1,3,6,5,4]=>000111=>6
[2,7,1,4,3,5,6]=>001001=>3
[2,7,1,4,3,6,5]=>001011=>6
[2,7,1,4,5,3,6]=>000101=>6
[2,7,1,4,5,6,3]=>000011=>6
[2,7,1,4,6,3,5]=>000011=>6
[2,7,1,4,6,5,3]=>000111=>6
[2,7,1,5,3,4,6]=>000101=>6
[2,7,1,5,3,6,4]=>000111=>6
[2,7,1,5,4,3,6]=>001101=>6
[2,7,1,5,4,6,3]=>000111=>6
[2,7,1,5,6,3,4]=>000011=>6
[2,7,1,5,6,4,3]=>001011=>6
[2,7,1,6,3,4,5]=>000011=>6
[2,7,1,6,3,5,4]=>000111=>6
[2,7,1,6,4,3,5]=>001011=>6
[2,7,1,6,4,5,3]=>000111=>6
[2,7,1,6,5,3,4]=>000111=>6
[2,7,1,6,5,4,3]=>001111=>6
[2,7,3,1,4,5,6]=>010001=>6
[2,7,3,1,4,6,5]=>010011=>6
[2,7,3,1,5,4,6]=>010101=>2
[2,7,3,1,5,6,4]=>010011=>6
[2,7,3,1,6,4,5]=>010011=>6
[2,7,3,1,6,5,4]=>010111=>6
[2,7,3,4,1,5,6]=>001001=>3
[2,7,3,4,1,6,5]=>001011=>6
[2,7,3,4,5,1,6]=>000101=>6
[2,7,3,4,5,6,1]=>000011=>6
[2,7,3,4,6,1,5]=>000011=>6
[2,7,3,4,6,5,1]=>000111=>6
[2,7,3,5,1,4,6]=>000101=>6
[2,7,3,5,1,6,4]=>000111=>6
[2,7,3,5,4,1,6]=>001101=>6
[2,7,3,5,4,6,1]=>000111=>6
[2,7,3,5,6,1,4]=>000011=>6
[2,7,3,5,6,4,1]=>001011=>6
[2,7,3,6,1,4,5]=>000011=>6
[2,7,3,6,1,5,4]=>000111=>6
[2,7,3,6,4,1,5]=>001011=>6
[2,7,3,6,4,5,1]=>000111=>6
[2,7,3,6,5,1,4]=>000111=>6
[2,7,3,6,5,4,1]=>001111=>6
[2,7,4,1,3,5,6]=>001001=>3
[2,7,4,1,3,6,5]=>001011=>6
[2,7,4,1,5,3,6]=>001101=>6
[2,7,4,1,5,6,3]=>001011=>6
[2,7,4,1,6,3,5]=>001011=>6
[2,7,4,1,6,5,3]=>001111=>6
[2,7,4,3,1,5,6]=>011001=>6
[2,7,4,3,1,6,5]=>011011=>3
[2,7,4,3,5,1,6]=>001101=>6
[2,7,4,3,5,6,1]=>001011=>6
[2,7,4,3,6,1,5]=>001011=>6
[2,7,4,3,6,5,1]=>001111=>6
[2,7,4,5,1,3,6]=>000101=>6
[2,7,4,5,1,6,3]=>000111=>6
[2,7,4,5,3,1,6]=>010101=>2
[2,7,4,5,3,6,1]=>000111=>6
[2,7,4,5,6,1,3]=>000011=>6
[2,7,4,5,6,3,1]=>010011=>6
[2,7,4,6,1,3,5]=>000011=>6
[2,7,4,6,1,5,3]=>000111=>6
[2,7,4,6,3,1,5]=>010011=>6
[2,7,4,6,3,5,1]=>000111=>6
[2,7,4,6,5,1,3]=>000111=>6
[2,7,4,6,5,3,1]=>010111=>6
[2,7,5,1,3,4,6]=>000101=>6
[2,7,5,1,3,6,4]=>000111=>6
[2,7,5,1,4,3,6]=>001101=>6
[2,7,5,1,4,6,3]=>000111=>6
[2,7,5,1,6,3,4]=>000111=>6
[2,7,5,1,6,4,3]=>001111=>6
[2,7,5,3,1,4,6]=>010101=>2
[2,7,5,3,1,6,4]=>010111=>6
[2,7,5,3,4,1,6]=>001101=>6
[2,7,5,3,4,6,1]=>000111=>6
[2,7,5,3,6,1,4]=>000111=>6
[2,7,5,3,6,4,1]=>001111=>6
[2,7,5,4,1,3,6]=>001101=>6
[2,7,5,4,1,6,3]=>001111=>6
[2,7,5,4,3,1,6]=>011101=>6
[2,7,5,4,3,6,1]=>001111=>6
[2,7,5,4,6,1,3]=>000111=>6
[2,7,5,4,6,3,1]=>010111=>6
[2,7,5,6,1,3,4]=>000011=>6
[2,7,5,6,1,4,3]=>001011=>6
[2,7,5,6,3,1,4]=>010011=>6
[2,7,5,6,3,4,1]=>001011=>6
[2,7,5,6,4,1,3]=>001011=>6
[2,7,5,6,4,3,1]=>011011=>3
[2,7,6,1,3,4,5]=>000011=>6
[2,7,6,1,3,5,4]=>000111=>6
[2,7,6,1,4,3,5]=>001011=>6
[2,7,6,1,4,5,3]=>000111=>6
[2,7,6,1,5,3,4]=>000111=>6
[2,7,6,1,5,4,3]=>001111=>6
[2,7,6,3,1,4,5]=>010011=>6
[2,7,6,3,1,5,4]=>010111=>6
[2,7,6,3,4,1,5]=>001011=>6
[2,7,6,3,4,5,1]=>000111=>6
[2,7,6,3,5,1,4]=>000111=>6
[2,7,6,3,5,4,1]=>001111=>6
[2,7,6,4,1,3,5]=>001011=>6
[2,7,6,4,1,5,3]=>001111=>6
[2,7,6,4,3,1,5]=>011011=>3
[2,7,6,4,3,5,1]=>001111=>6
[2,7,6,4,5,1,3]=>000111=>6
[2,7,6,4,5,3,1]=>010111=>6
[2,7,6,5,1,3,4]=>000111=>6
[2,7,6,5,1,4,3]=>001111=>6
[2,7,6,5,3,1,4]=>010111=>6
[2,7,6,5,3,4,1]=>001111=>6
[2,7,6,5,4,1,3]=>001111=>6
[2,7,6,5,4,3,1]=>011111=>6
[3,1,2,4,5,6,7]=>010000=>6
[3,1,2,4,5,7,6]=>010001=>6
[3,1,2,4,6,5,7]=>010010=>3
[3,1,2,4,6,7,5]=>010001=>6
[3,1,2,4,7,5,6]=>010001=>6
[3,1,2,4,7,6,5]=>010011=>6
[3,1,2,5,4,6,7]=>010100=>6
[3,1,2,5,4,7,6]=>010101=>2
[3,1,2,5,6,4,7]=>010010=>3
[3,1,2,5,6,7,4]=>010001=>6
[3,1,2,5,7,4,6]=>010001=>6
[3,1,2,5,7,6,4]=>010011=>6
[3,1,2,6,4,5,7]=>010010=>3
[3,1,2,6,4,7,5]=>010011=>6
[3,1,2,6,5,4,7]=>010110=>6
[3,1,2,6,5,7,4]=>010011=>6
[3,1,2,6,7,4,5]=>010001=>6
[3,1,2,6,7,5,4]=>010101=>2
[3,1,2,7,4,5,6]=>010001=>6
[3,1,2,7,4,6,5]=>010011=>6
[3,1,2,7,5,4,6]=>010101=>2
[3,1,2,7,5,6,4]=>010011=>6
[3,1,2,7,6,4,5]=>010011=>6
[3,1,2,7,6,5,4]=>010111=>6
[3,1,4,2,5,6,7]=>011000=>6
[3,1,4,2,5,7,6]=>011001=>6
[3,1,4,2,6,5,7]=>011010=>6
[3,1,4,2,6,7,5]=>011001=>6
[3,1,4,2,7,5,6]=>011001=>6
[3,1,4,2,7,6,5]=>011011=>3
[3,1,4,5,2,6,7]=>010100=>6
[3,1,4,5,2,7,6]=>010101=>2
[3,1,4,5,6,2,7]=>010010=>3
[3,1,4,5,6,7,2]=>010001=>6
[3,1,4,5,7,2,6]=>010001=>6
[3,1,4,5,7,6,2]=>010011=>6
[3,1,4,6,2,5,7]=>010010=>3
[3,1,4,6,2,7,5]=>010011=>6
[3,1,4,6,5,2,7]=>010110=>6
[3,1,4,6,5,7,2]=>010011=>6
[3,1,4,6,7,2,5]=>010001=>6
[3,1,4,6,7,5,2]=>010101=>2
[3,1,4,7,2,5,6]=>010001=>6
[3,1,4,7,2,6,5]=>010011=>6
[3,1,4,7,5,2,6]=>010101=>2
[3,1,4,7,5,6,2]=>010011=>6
[3,1,4,7,6,2,5]=>010011=>6
[3,1,4,7,6,5,2]=>010111=>6
[3,1,5,2,4,6,7]=>010100=>6
[3,1,5,2,4,7,6]=>010101=>2
[3,1,5,2,6,4,7]=>010110=>6
[3,1,5,2,6,7,4]=>010101=>2
[3,1,5,2,7,4,6]=>010101=>2
[3,1,5,2,7,6,4]=>010111=>6
[3,1,5,4,2,6,7]=>011100=>6
[3,1,5,4,2,7,6]=>011101=>6
[3,1,5,4,6,2,7]=>010110=>6
[3,1,5,4,6,7,2]=>010101=>2
[3,1,5,4,7,2,6]=>010101=>2
[3,1,5,4,7,6,2]=>010111=>6
[3,1,5,6,2,4,7]=>010010=>3
[3,1,5,6,2,7,4]=>010011=>6
[3,1,5,6,4,2,7]=>011010=>6
[3,1,5,6,4,7,2]=>010011=>6
[3,1,5,6,7,2,4]=>010001=>6
[3,1,5,6,7,4,2]=>011001=>6
[3,1,5,7,2,4,6]=>010001=>6
[3,1,5,7,2,6,4]=>010011=>6
[3,1,5,7,4,2,6]=>011001=>6
[3,1,5,7,4,6,2]=>010011=>6
[3,1,5,7,6,2,4]=>010011=>6
[3,1,5,7,6,4,2]=>011011=>3
[3,1,6,2,4,5,7]=>010010=>3
[3,1,6,2,4,7,5]=>010011=>6
[3,1,6,2,5,4,7]=>010110=>6
[3,1,6,2,5,7,4]=>010011=>6
[3,1,6,2,7,4,5]=>010011=>6
[3,1,6,2,7,5,4]=>010111=>6
[3,1,6,4,2,5,7]=>011010=>6
[3,1,6,4,2,7,5]=>011011=>3
[3,1,6,4,5,2,7]=>010110=>6
[3,1,6,4,5,7,2]=>010011=>6
[3,1,6,4,7,2,5]=>010011=>6
[3,1,6,4,7,5,2]=>010111=>6
[3,1,6,5,2,4,7]=>010110=>6
[3,1,6,5,2,7,4]=>010111=>6
[3,1,6,5,4,2,7]=>011110=>6
[3,1,6,5,4,7,2]=>010111=>6
[3,1,6,5,7,2,4]=>010011=>6
[3,1,6,5,7,4,2]=>011011=>3
[3,1,6,7,2,4,5]=>010001=>6
[3,1,6,7,2,5,4]=>010101=>2
[3,1,6,7,4,2,5]=>011001=>6
[3,1,6,7,4,5,2]=>010101=>2
[3,1,6,7,5,2,4]=>010101=>2
[3,1,6,7,5,4,2]=>011101=>6
[3,1,7,2,4,5,6]=>010001=>6
[3,1,7,2,4,6,5]=>010011=>6
[3,1,7,2,5,4,6]=>010101=>2
[3,1,7,2,5,6,4]=>010011=>6
[3,1,7,2,6,4,5]=>010011=>6
[3,1,7,2,6,5,4]=>010111=>6
[3,1,7,4,2,5,6]=>011001=>6
[3,1,7,4,2,6,5]=>011011=>3
[3,1,7,4,5,2,6]=>010101=>2
[3,1,7,4,5,6,2]=>010011=>6
[3,1,7,4,6,2,5]=>010011=>6
[3,1,7,4,6,5,2]=>010111=>6
[3,1,7,5,2,4,6]=>010101=>2
[3,1,7,5,2,6,4]=>010111=>6
[3,1,7,5,4,2,6]=>011101=>6
[3,1,7,5,4,6,2]=>010111=>6
[3,1,7,5,6,2,4]=>010011=>6
[3,1,7,5,6,4,2]=>011011=>3
[3,1,7,6,2,4,5]=>010011=>6
[3,1,7,6,2,5,4]=>010111=>6
[3,1,7,6,4,2,5]=>011011=>3
[3,1,7,6,4,5,2]=>010111=>6
[3,1,7,6,5,2,4]=>010111=>6
[3,1,7,6,5,4,2]=>011111=>6
[3,2,1,4,5,6,7]=>110000=>6
[3,2,1,4,5,7,6]=>110001=>6
[3,2,1,4,6,5,7]=>110010=>6
[3,2,1,4,6,7,5]=>110001=>6
[3,2,1,4,7,5,6]=>110001=>6
[3,2,1,4,7,6,5]=>110011=>6
[3,2,1,5,4,6,7]=>110100=>6
[3,2,1,5,4,7,6]=>110101=>6
[3,2,1,5,6,4,7]=>110010=>6
[3,2,1,5,6,7,4]=>110001=>6
[3,2,1,5,7,4,6]=>110001=>6
[3,2,1,5,7,6,4]=>110011=>6
[3,2,1,6,4,5,7]=>110010=>6
[3,2,1,6,4,7,5]=>110011=>6
[3,2,1,6,5,4,7]=>110110=>3
[3,2,1,6,5,7,4]=>110011=>6
[3,2,1,6,7,4,5]=>110001=>6
[3,2,1,6,7,5,4]=>110101=>6
[3,2,1,7,4,5,6]=>110001=>6
[3,2,1,7,4,6,5]=>110011=>6
[3,2,1,7,5,4,6]=>110101=>6
[3,2,1,7,5,6,4]=>110011=>6
[3,2,1,7,6,4,5]=>110011=>6
[3,2,1,7,6,5,4]=>110111=>6
[3,2,4,1,5,6,7]=>011000=>6
[3,2,4,1,5,7,6]=>011001=>6
[3,2,4,1,6,5,7]=>011010=>6
[3,2,4,1,6,7,5]=>011001=>6
[3,2,4,1,7,5,6]=>011001=>6
[3,2,4,1,7,6,5]=>011011=>3
[3,2,4,5,1,6,7]=>010100=>6
[3,2,4,5,1,7,6]=>010101=>2
[3,2,4,5,6,1,7]=>010010=>3
[3,2,4,5,6,7,1]=>010001=>6
[3,2,4,5,7,1,6]=>010001=>6
[3,2,4,5,7,6,1]=>010011=>6
[3,2,4,6,1,5,7]=>010010=>3
[3,2,4,6,1,7,5]=>010011=>6
[3,2,4,6,5,1,7]=>010110=>6
[3,2,4,6,5,7,1]=>010011=>6
[3,2,4,6,7,1,5]=>010001=>6
[3,2,4,6,7,5,1]=>010101=>2
[3,2,4,7,1,5,6]=>010001=>6
[3,2,4,7,1,6,5]=>010011=>6
[3,2,4,7,5,1,6]=>010101=>2
[3,2,4,7,5,6,1]=>010011=>6
[3,2,4,7,6,1,5]=>010011=>6
[3,2,4,7,6,5,1]=>010111=>6
[3,2,5,1,4,6,7]=>010100=>6
[3,2,5,1,4,7,6]=>010101=>2
[3,2,5,1,6,4,7]=>010110=>6
[3,2,5,1,6,7,4]=>010101=>2
[3,2,5,1,7,4,6]=>010101=>2
[3,2,5,1,7,6,4]=>010111=>6
[3,2,5,4,1,6,7]=>011100=>6
[3,2,5,4,1,7,6]=>011101=>6
[3,2,5,4,6,1,7]=>010110=>6
[3,2,5,4,6,7,1]=>010101=>2
[3,2,5,4,7,1,6]=>010101=>2
[3,2,5,4,7,6,1]=>010111=>6
[3,2,5,6,1,4,7]=>010010=>3
[3,2,5,6,1,7,4]=>010011=>6
[3,2,5,6,4,1,7]=>011010=>6
[3,2,5,6,4,7,1]=>010011=>6
[3,2,5,6,7,1,4]=>010001=>6
[3,2,5,6,7,4,1]=>011001=>6
[3,2,5,7,1,4,6]=>010001=>6
[3,2,5,7,1,6,4]=>010011=>6
[3,2,5,7,4,1,6]=>011001=>6
[3,2,5,7,4,6,1]=>010011=>6
[3,2,5,7,6,1,4]=>010011=>6
[3,2,5,7,6,4,1]=>011011=>3
[3,2,6,1,4,5,7]=>010010=>3
[3,2,6,1,4,7,5]=>010011=>6
[3,2,6,1,5,4,7]=>010110=>6
[3,2,6,1,5,7,4]=>010011=>6
[3,2,6,1,7,4,5]=>010011=>6
[3,2,6,1,7,5,4]=>010111=>6
[3,2,6,4,1,5,7]=>011010=>6
[3,2,6,4,1,7,5]=>011011=>3
[3,2,6,4,5,1,7]=>010110=>6
[3,2,6,4,5,7,1]=>010011=>6
[3,2,6,4,7,1,5]=>010011=>6
[3,2,6,4,7,5,1]=>010111=>6
[3,2,6,5,1,4,7]=>010110=>6
[3,2,6,5,1,7,4]=>010111=>6
[3,2,6,5,4,1,7]=>011110=>6
[3,2,6,5,4,7,1]=>010111=>6
[3,2,6,5,7,1,4]=>010011=>6
[3,2,6,5,7,4,1]=>011011=>3
[3,2,6,7,1,4,5]=>010001=>6
[3,2,6,7,1,5,4]=>010101=>2
[3,2,6,7,4,1,5]=>011001=>6
[3,2,6,7,4,5,1]=>010101=>2
[3,2,6,7,5,1,4]=>010101=>2
[3,2,6,7,5,4,1]=>011101=>6
[3,2,7,1,4,5,6]=>010001=>6
[3,2,7,1,4,6,5]=>010011=>6
[3,2,7,1,5,4,6]=>010101=>2
[3,2,7,1,5,6,4]=>010011=>6
[3,2,7,1,6,4,5]=>010011=>6
[3,2,7,1,6,5,4]=>010111=>6
[3,2,7,4,1,5,6]=>011001=>6
[3,2,7,4,1,6,5]=>011011=>3
[3,2,7,4,5,1,6]=>010101=>2
[3,2,7,4,5,6,1]=>010011=>6
[3,2,7,4,6,1,5]=>010011=>6
[3,2,7,4,6,5,1]=>010111=>6
[3,2,7,5,1,4,6]=>010101=>2
[3,2,7,5,1,6,4]=>010111=>6
[3,2,7,5,4,1,6]=>011101=>6
[3,2,7,5,4,6,1]=>010111=>6
[3,2,7,5,6,1,4]=>010011=>6
[3,2,7,5,6,4,1]=>011011=>3
[3,2,7,6,1,4,5]=>010011=>6
[3,2,7,6,1,5,4]=>010111=>6
[3,2,7,6,4,1,5]=>011011=>3
[3,2,7,6,4,5,1]=>010111=>6
[3,2,7,6,5,1,4]=>010111=>6
[3,2,7,6,5,4,1]=>011111=>6
[3,4,1,2,5,6,7]=>001000=>6
[3,4,1,2,5,7,6]=>001001=>3
[3,4,1,2,6,5,7]=>001010=>6
[3,4,1,2,6,7,5]=>001001=>3
[3,4,1,2,7,5,6]=>001001=>3
[3,4,1,2,7,6,5]=>001011=>6
[3,4,1,5,2,6,7]=>001100=>6
[3,4,1,5,2,7,6]=>001101=>6
[3,4,1,5,6,2,7]=>001010=>6
[3,4,1,5,6,7,2]=>001001=>3
[3,4,1,5,7,2,6]=>001001=>3
[3,4,1,5,7,6,2]=>001011=>6
[3,4,1,6,2,5,7]=>001010=>6
[3,4,1,6,2,7,5]=>001011=>6
[3,4,1,6,5,2,7]=>001110=>6
[3,4,1,6,5,7,2]=>001011=>6
[3,4,1,6,7,2,5]=>001001=>3
[3,4,1,6,7,5,2]=>001101=>6
[3,4,1,7,2,5,6]=>001001=>3
[3,4,1,7,2,6,5]=>001011=>6
[3,4,1,7,5,2,6]=>001101=>6
[3,4,1,7,5,6,2]=>001011=>6
[3,4,1,7,6,2,5]=>001011=>6
[3,4,1,7,6,5,2]=>001111=>6
[3,4,2,1,5,6,7]=>101000=>6
[3,4,2,1,5,7,6]=>101001=>6
[3,4,2,1,6,5,7]=>101010=>2
[3,4,2,1,6,7,5]=>101001=>6
[3,4,2,1,7,5,6]=>101001=>6
[3,4,2,1,7,6,5]=>101011=>6
[3,4,2,5,1,6,7]=>001100=>6
[3,4,2,5,1,7,6]=>001101=>6
[3,4,2,5,6,1,7]=>001010=>6
[3,4,2,5,6,7,1]=>001001=>3
[3,4,2,5,7,1,6]=>001001=>3
[3,4,2,5,7,6,1]=>001011=>6
[3,4,2,6,1,5,7]=>001010=>6
[3,4,2,6,1,7,5]=>001011=>6
[3,4,2,6,5,1,7]=>001110=>6
[3,4,2,6,5,7,1]=>001011=>6
[3,4,2,6,7,1,5]=>001001=>3
[3,4,2,6,7,5,1]=>001101=>6
[3,4,2,7,1,5,6]=>001001=>3
[3,4,2,7,1,6,5]=>001011=>6
[3,4,2,7,5,1,6]=>001101=>6
[3,4,2,7,5,6,1]=>001011=>6
[3,4,2,7,6,1,5]=>001011=>6
[3,4,2,7,6,5,1]=>001111=>6
[3,4,5,1,2,6,7]=>000100=>6
[3,4,5,1,2,7,6]=>000101=>6
[3,4,5,1,6,2,7]=>000110=>6
[3,4,5,1,6,7,2]=>000101=>6
[3,4,5,1,7,2,6]=>000101=>6
[3,4,5,1,7,6,2]=>000111=>6
[3,4,5,2,1,6,7]=>100100=>3
[3,4,5,2,1,7,6]=>100101=>6
[3,4,5,2,6,1,7]=>000110=>6
[3,4,5,2,6,7,1]=>000101=>6
[3,4,5,2,7,1,6]=>000101=>6
[3,4,5,2,7,6,1]=>000111=>6
[3,4,5,6,1,2,7]=>000010=>6
[3,4,5,6,1,7,2]=>000011=>6
[3,4,5,6,2,1,7]=>100010=>6
[3,4,5,6,2,7,1]=>000011=>6
[3,4,5,6,7,1,2]=>000001=>6
[3,4,5,6,7,2,1]=>100001=>6
[3,4,5,7,1,2,6]=>000001=>6
[3,4,5,7,1,6,2]=>000011=>6
[3,4,5,7,2,1,6]=>100001=>6
[3,4,5,7,2,6,1]=>000011=>6
[3,4,5,7,6,1,2]=>000011=>6
[3,4,5,7,6,2,1]=>100011=>6
[3,4,6,1,2,5,7]=>000010=>6
[3,4,6,1,2,7,5]=>000011=>6
[3,4,6,1,5,2,7]=>000110=>6
[3,4,6,1,5,7,2]=>000011=>6
[3,4,6,1,7,2,5]=>000011=>6
[3,4,6,1,7,5,2]=>000111=>6
[3,4,6,2,1,5,7]=>100010=>6
[3,4,6,2,1,7,5]=>100011=>6
[3,4,6,2,5,1,7]=>000110=>6
[3,4,6,2,5,7,1]=>000011=>6
[3,4,6,2,7,1,5]=>000011=>6
[3,4,6,2,7,5,1]=>000111=>6
[3,4,6,5,1,2,7]=>000110=>6
[3,4,6,5,1,7,2]=>000111=>6
[3,4,6,5,2,1,7]=>100110=>6
[3,4,6,5,2,7,1]=>000111=>6
[3,4,6,5,7,1,2]=>000011=>6
[3,4,6,5,7,2,1]=>100011=>6
[3,4,6,7,1,2,5]=>000001=>6
[3,4,6,7,1,5,2]=>000101=>6
[3,4,6,7,2,1,5]=>100001=>6
[3,4,6,7,2,5,1]=>000101=>6
[3,4,6,7,5,1,2]=>000101=>6
[3,4,6,7,5,2,1]=>100101=>6
[3,4,7,1,2,5,6]=>000001=>6
[3,4,7,1,2,6,5]=>000011=>6
[3,4,7,1,5,2,6]=>000101=>6
[3,4,7,1,5,6,2]=>000011=>6
[3,4,7,1,6,2,5]=>000011=>6
[3,4,7,1,6,5,2]=>000111=>6
[3,4,7,2,1,5,6]=>100001=>6
[3,4,7,2,1,6,5]=>100011=>6
[3,4,7,2,5,1,6]=>000101=>6
[3,4,7,2,5,6,1]=>000011=>6
[3,4,7,2,6,1,5]=>000011=>6
[3,4,7,2,6,5,1]=>000111=>6
[3,4,7,5,1,2,6]=>000101=>6
[3,4,7,5,1,6,2]=>000111=>6
[3,4,7,5,2,1,6]=>100101=>6
[3,4,7,5,2,6,1]=>000111=>6
[3,4,7,5,6,1,2]=>000011=>6
[3,4,7,5,6,2,1]=>100011=>6
[3,4,7,6,1,2,5]=>000011=>6
[3,4,7,6,1,5,2]=>000111=>6
[3,4,7,6,2,1,5]=>100011=>6
[3,4,7,6,2,5,1]=>000111=>6
[3,4,7,6,5,1,2]=>000111=>6
[3,4,7,6,5,2,1]=>100111=>6
[3,5,1,2,4,6,7]=>000100=>6
[3,5,1,2,4,7,6]=>000101=>6
[3,5,1,2,6,4,7]=>000110=>6
[3,5,1,2,6,7,4]=>000101=>6
[3,5,1,2,7,4,6]=>000101=>6
[3,5,1,2,7,6,4]=>000111=>6
[3,5,1,4,2,6,7]=>001100=>6
[3,5,1,4,2,7,6]=>001101=>6
[3,5,1,4,6,2,7]=>000110=>6
[3,5,1,4,6,7,2]=>000101=>6
[3,5,1,4,7,2,6]=>000101=>6
[3,5,1,4,7,6,2]=>000111=>6
[3,5,1,6,2,4,7]=>000110=>6
[3,5,1,6,2,7,4]=>000111=>6
[3,5,1,6,4,2,7]=>001110=>6
[3,5,1,6,4,7,2]=>000111=>6
[3,5,1,6,7,2,4]=>000101=>6
[3,5,1,6,7,4,2]=>001101=>6
[3,5,1,7,2,4,6]=>000101=>6
[3,5,1,7,2,6,4]=>000111=>6
[3,5,1,7,4,2,6]=>001101=>6
[3,5,1,7,4,6,2]=>000111=>6
[3,5,1,7,6,2,4]=>000111=>6
[3,5,1,7,6,4,2]=>001111=>6
[3,5,2,1,4,6,7]=>100100=>3
[3,5,2,1,4,7,6]=>100101=>6
[3,5,2,1,6,4,7]=>100110=>6
[3,5,2,1,6,7,4]=>100101=>6
[3,5,2,1,7,4,6]=>100101=>6
[3,5,2,1,7,6,4]=>100111=>6
[3,5,2,4,1,6,7]=>001100=>6
[3,5,2,4,1,7,6]=>001101=>6
[3,5,2,4,6,1,7]=>000110=>6
[3,5,2,4,6,7,1]=>000101=>6
[3,5,2,4,7,1,6]=>000101=>6
[3,5,2,4,7,6,1]=>000111=>6
[3,5,2,6,1,4,7]=>000110=>6
[3,5,2,6,1,7,4]=>000111=>6
[3,5,2,6,4,1,7]=>001110=>6
[3,5,2,6,4,7,1]=>000111=>6
[3,5,2,6,7,1,4]=>000101=>6
[3,5,2,6,7,4,1]=>001101=>6
[3,5,2,7,1,4,6]=>000101=>6
[3,5,2,7,1,6,4]=>000111=>6
[3,5,2,7,4,1,6]=>001101=>6
[3,5,2,7,4,6,1]=>000111=>6
[3,5,2,7,6,1,4]=>000111=>6
[3,5,2,7,6,4,1]=>001111=>6
[3,5,4,1,2,6,7]=>001100=>6
[3,5,4,1,2,7,6]=>001101=>6
[3,5,4,1,6,2,7]=>001110=>6
[3,5,4,1,6,7,2]=>001101=>6
[3,5,4,1,7,2,6]=>001101=>6
[3,5,4,1,7,6,2]=>001111=>6
[3,5,4,2,1,6,7]=>101100=>6
[3,5,4,2,1,7,6]=>101101=>3
[3,5,4,2,6,1,7]=>001110=>6
[3,5,4,2,6,7,1]=>001101=>6
[3,5,4,2,7,1,6]=>001101=>6
[3,5,4,2,7,6,1]=>001111=>6
[3,5,4,6,1,2,7]=>000110=>6
[3,5,4,6,1,7,2]=>000111=>6
[3,5,4,6,2,1,7]=>100110=>6
[3,5,4,6,2,7,1]=>000111=>6
[3,5,4,6,7,1,2]=>000101=>6
[3,5,4,6,7,2,1]=>100101=>6
[3,5,4,7,1,2,6]=>000101=>6
[3,5,4,7,1,6,2]=>000111=>6
[3,5,4,7,2,1,6]=>100101=>6
[3,5,4,7,2,6,1]=>000111=>6
[3,5,4,7,6,1,2]=>000111=>6
[3,5,4,7,6,2,1]=>100111=>6
[3,5,6,1,2,4,7]=>000010=>6
[3,5,6,1,2,7,4]=>000011=>6
[3,5,6,1,4,2,7]=>001010=>6
[3,5,6,1,4,7,2]=>000011=>6
[3,5,6,1,7,2,4]=>000011=>6
[3,5,6,1,7,4,2]=>001011=>6
[3,5,6,2,1,4,7]=>100010=>6
[3,5,6,2,1,7,4]=>100011=>6
[3,5,6,2,4,1,7]=>001010=>6
[3,5,6,2,4,7,1]=>000011=>6
[3,5,6,2,7,1,4]=>000011=>6
[3,5,6,2,7,4,1]=>001011=>6
[3,5,6,4,1,2,7]=>001010=>6
[3,5,6,4,1,7,2]=>001011=>6
[3,5,6,4,2,1,7]=>101010=>2
[3,5,6,4,2,7,1]=>001011=>6
[3,5,6,4,7,1,2]=>000011=>6
[3,5,6,4,7,2,1]=>100011=>6
[3,5,6,7,1,2,4]=>000001=>6
[3,5,6,7,1,4,2]=>001001=>3
[3,5,6,7,2,1,4]=>100001=>6
[3,5,6,7,2,4,1]=>001001=>3
[3,5,6,7,4,1,2]=>001001=>3
[3,5,6,7,4,2,1]=>101001=>6
[3,5,7,1,2,4,6]=>000001=>6
[3,5,7,1,2,6,4]=>000011=>6
[3,5,7,1,4,2,6]=>001001=>3
[3,5,7,1,4,6,2]=>000011=>6
[3,5,7,1,6,2,4]=>000011=>6
[3,5,7,1,6,4,2]=>001011=>6
[3,5,7,2,1,4,6]=>100001=>6
[3,5,7,2,1,6,4]=>100011=>6
[3,5,7,2,4,1,6]=>001001=>3
[3,5,7,2,4,6,1]=>000011=>6
[3,5,7,2,6,1,4]=>000011=>6
[3,5,7,2,6,4,1]=>001011=>6
[3,5,7,4,1,2,6]=>001001=>3
[3,5,7,4,1,6,2]=>001011=>6
[3,5,7,4,2,1,6]=>101001=>6
[3,5,7,4,2,6,1]=>001011=>6
[3,5,7,4,6,1,2]=>000011=>6
[3,5,7,4,6,2,1]=>100011=>6
[3,5,7,6,1,2,4]=>000011=>6
[3,5,7,6,1,4,2]=>001011=>6
[3,5,7,6,2,1,4]=>100011=>6
[3,5,7,6,2,4,1]=>001011=>6
[3,5,7,6,4,1,2]=>001011=>6
[3,5,7,6,4,2,1]=>101011=>6
[3,6,1,2,4,5,7]=>000010=>6
[3,6,1,2,4,7,5]=>000011=>6
[3,6,1,2,5,4,7]=>000110=>6
[3,6,1,2,5,7,4]=>000011=>6
[3,6,1,2,7,4,5]=>000011=>6
[3,6,1,2,7,5,4]=>000111=>6
[3,6,1,4,2,5,7]=>001010=>6
[3,6,1,4,2,7,5]=>001011=>6
[3,6,1,4,5,2,7]=>000110=>6
[3,6,1,4,5,7,2]=>000011=>6
[3,6,1,4,7,2,5]=>000011=>6
[3,6,1,4,7,5,2]=>000111=>6
[3,6,1,5,2,4,7]=>000110=>6
[3,6,1,5,2,7,4]=>000111=>6
[3,6,1,5,4,2,7]=>001110=>6
[3,6,1,5,4,7,2]=>000111=>6
[3,6,1,5,7,2,4]=>000011=>6
[3,6,1,5,7,4,2]=>001011=>6
[3,6,1,7,2,4,5]=>000011=>6
[3,6,1,7,2,5,4]=>000111=>6
[3,6,1,7,4,2,5]=>001011=>6
[3,6,1,7,4,5,2]=>000111=>6
[3,6,1,7,5,2,4]=>000111=>6
[3,6,1,7,5,4,2]=>001111=>6
[3,6,2,1,4,5,7]=>100010=>6
[3,6,2,1,4,7,5]=>100011=>6
[3,6,2,1,5,4,7]=>100110=>6
[3,6,2,1,5,7,4]=>100011=>6
[3,6,2,1,7,4,5]=>100011=>6
[3,6,2,1,7,5,4]=>100111=>6
[3,6,2,4,1,5,7]=>001010=>6
[3,6,2,4,1,7,5]=>001011=>6
[3,6,2,4,5,1,7]=>000110=>6
[3,6,2,4,5,7,1]=>000011=>6
[3,6,2,4,7,1,5]=>000011=>6
[3,6,2,4,7,5,1]=>000111=>6
[3,6,2,5,1,4,7]=>000110=>6
[3,6,2,5,1,7,4]=>000111=>6
[3,6,2,5,4,1,7]=>001110=>6
[3,6,2,5,4,7,1]=>000111=>6
[3,6,2,5,7,1,4]=>000011=>6
[3,6,2,5,7,4,1]=>001011=>6
[3,6,2,7,1,4,5]=>000011=>6
[3,6,2,7,1,5,4]=>000111=>6
[3,6,2,7,4,1,5]=>001011=>6
[3,6,2,7,4,5,1]=>000111=>6
[3,6,2,7,5,1,4]=>000111=>6
[3,6,2,7,5,4,1]=>001111=>6
[3,6,4,1,2,5,7]=>001010=>6
[3,6,4,1,2,7,5]=>001011=>6
[3,6,4,1,5,2,7]=>001110=>6
[3,6,4,1,5,7,2]=>001011=>6
[3,6,4,1,7,2,5]=>001011=>6
[3,6,4,1,7,5,2]=>001111=>6
[3,6,4,2,1,5,7]=>101010=>2
[3,6,4,2,1,7,5]=>101011=>6
[3,6,4,2,5,1,7]=>001110=>6
[3,6,4,2,5,7,1]=>001011=>6
[3,6,4,2,7,1,5]=>001011=>6
[3,6,4,2,7,5,1]=>001111=>6
[3,6,4,5,1,2,7]=>000110=>6
[3,6,4,5,1,7,2]=>000111=>6
[3,6,4,5,2,1,7]=>100110=>6
[3,6,4,5,2,7,1]=>000111=>6
[3,6,4,5,7,1,2]=>000011=>6
[3,6,4,5,7,2,1]=>100011=>6
[3,6,4,7,1,2,5]=>000011=>6
[3,6,4,7,1,5,2]=>000111=>6
[3,6,4,7,2,1,5]=>100011=>6
[3,6,4,7,2,5,1]=>000111=>6
[3,6,4,7,5,1,2]=>000111=>6
[3,6,4,7,5,2,1]=>100111=>6
[3,6,5,1,2,4,7]=>000110=>6
[3,6,5,1,2,7,4]=>000111=>6
[3,6,5,1,4,2,7]=>001110=>6
[3,6,5,1,4,7,2]=>000111=>6
[3,6,5,1,7,2,4]=>000111=>6
[3,6,5,1,7,4,2]=>001111=>6
[3,6,5,2,1,4,7]=>100110=>6
[3,6,5,2,1,7,4]=>100111=>6
[3,6,5,2,4,1,7]=>001110=>6
[3,6,5,2,4,7,1]=>000111=>6
[3,6,5,2,7,1,4]=>000111=>6
[3,6,5,2,7,4,1]=>001111=>6
[3,6,5,4,1,2,7]=>001110=>6
[3,6,5,4,1,7,2]=>001111=>6
[3,6,5,4,2,1,7]=>101110=>6
[3,6,5,4,2,7,1]=>001111=>6
[3,6,5,4,7,1,2]=>000111=>6
[3,6,5,4,7,2,1]=>100111=>6
[3,6,5,7,1,2,4]=>000011=>6
[3,6,5,7,1,4,2]=>001011=>6
[3,6,5,7,2,1,4]=>100011=>6
[3,6,5,7,2,4,1]=>001011=>6
[3,6,5,7,4,1,2]=>001011=>6
[3,6,5,7,4,2,1]=>101011=>6
[3,6,7,1,2,4,5]=>000001=>6
[3,6,7,1,2,5,4]=>000101=>6
[3,6,7,1,4,2,5]=>001001=>3
[3,6,7,1,4,5,2]=>000101=>6
[3,6,7,1,5,2,4]=>000101=>6
[3,6,7,1,5,4,2]=>001101=>6
[3,6,7,2,1,4,5]=>100001=>6
[3,6,7,2,1,5,4]=>100101=>6
[3,6,7,2,4,1,5]=>001001=>3
[3,6,7,2,4,5,1]=>000101=>6
[3,6,7,2,5,1,4]=>000101=>6
[3,6,7,2,5,4,1]=>001101=>6
[3,6,7,4,1,2,5]=>001001=>3
[3,6,7,4,1,5,2]=>001101=>6
[3,6,7,4,2,1,5]=>101001=>6
[3,6,7,4,2,5,1]=>001101=>6
[3,6,7,4,5,1,2]=>000101=>6
[3,6,7,4,5,2,1]=>100101=>6
[3,6,7,5,1,2,4]=>000101=>6
[3,6,7,5,1,4,2]=>001101=>6
[3,6,7,5,2,1,4]=>100101=>6
[3,6,7,5,2,4,1]=>001101=>6
[3,6,7,5,4,1,2]=>001101=>6
[3,6,7,5,4,2,1]=>101101=>3
[3,7,1,2,4,5,6]=>000001=>6
[3,7,1,2,4,6,5]=>000011=>6
[3,7,1,2,5,4,6]=>000101=>6
[3,7,1,2,5,6,4]=>000011=>6
[3,7,1,2,6,4,5]=>000011=>6
[3,7,1,2,6,5,4]=>000111=>6
[3,7,1,4,2,5,6]=>001001=>3
[3,7,1,4,2,6,5]=>001011=>6
[3,7,1,4,5,2,6]=>000101=>6
[3,7,1,4,5,6,2]=>000011=>6
[3,7,1,4,6,2,5]=>000011=>6
[3,7,1,4,6,5,2]=>000111=>6
[3,7,1,5,2,4,6]=>000101=>6
[3,7,1,5,2,6,4]=>000111=>6
[3,7,1,5,4,2,6]=>001101=>6
[3,7,1,5,4,6,2]=>000111=>6
[3,7,1,5,6,2,4]=>000011=>6
[3,7,1,5,6,4,2]=>001011=>6
[3,7,1,6,2,4,5]=>000011=>6
[3,7,1,6,2,5,4]=>000111=>6
[3,7,1,6,4,2,5]=>001011=>6
[3,7,1,6,4,5,2]=>000111=>6
[3,7,1,6,5,2,4]=>000111=>6
[3,7,1,6,5,4,2]=>001111=>6
[3,7,2,1,4,5,6]=>100001=>6
[3,7,2,1,4,6,5]=>100011=>6
[3,7,2,1,5,4,6]=>100101=>6
[3,7,2,1,5,6,4]=>100011=>6
[3,7,2,1,6,4,5]=>100011=>6
[3,7,2,1,6,5,4]=>100111=>6
[3,7,2,4,1,5,6]=>001001=>3
[3,7,2,4,1,6,5]=>001011=>6
[3,7,2,4,5,1,6]=>000101=>6
[3,7,2,4,5,6,1]=>000011=>6
[3,7,2,4,6,1,5]=>000011=>6
[3,7,2,4,6,5,1]=>000111=>6
[3,7,2,5,1,4,6]=>000101=>6
[3,7,2,5,1,6,4]=>000111=>6
[3,7,2,5,4,1,6]=>001101=>6
[3,7,2,5,4,6,1]=>000111=>6
[3,7,2,5,6,1,4]=>000011=>6
[3,7,2,5,6,4,1]=>001011=>6
[3,7,2,6,1,4,5]=>000011=>6
[3,7,2,6,1,5,4]=>000111=>6
[3,7,2,6,4,1,5]=>001011=>6
[3,7,2,6,4,5,1]=>000111=>6
[3,7,2,6,5,1,4]=>000111=>6
[3,7,2,6,5,4,1]=>001111=>6
[3,7,4,1,2,5,6]=>001001=>3
[3,7,4,1,2,6,5]=>001011=>6
[3,7,4,1,5,2,6]=>001101=>6
[3,7,4,1,5,6,2]=>001011=>6
[3,7,4,1,6,2,5]=>001011=>6
[3,7,4,1,6,5,2]=>001111=>6
[3,7,4,2,1,5,6]=>101001=>6
[3,7,4,2,1,6,5]=>101011=>6
[3,7,4,2,5,1,6]=>001101=>6
[3,7,4,2,5,6,1]=>001011=>6
[3,7,4,2,6,1,5]=>001011=>6
[3,7,4,2,6,5,1]=>001111=>6
[3,7,4,5,1,2,6]=>000101=>6
[3,7,4,5,1,6,2]=>000111=>6
[3,7,4,5,2,1,6]=>100101=>6
[3,7,4,5,2,6,1]=>000111=>6
[3,7,4,5,6,1,2]=>000011=>6
[3,7,4,5,6,2,1]=>100011=>6
[3,7,4,6,1,2,5]=>000011=>6
[3,7,4,6,1,5,2]=>000111=>6
[3,7,4,6,2,1,5]=>100011=>6
[3,7,4,6,2,5,1]=>000111=>6
[3,7,4,6,5,1,2]=>000111=>6
[3,7,4,6,5,2,1]=>100111=>6
[3,7,5,1,2,4,6]=>000101=>6
[3,7,5,1,2,6,4]=>000111=>6
[3,7,5,1,4,2,6]=>001101=>6
[3,7,5,1,4,6,2]=>000111=>6
[3,7,5,1,6,2,4]=>000111=>6
[3,7,5,1,6,4,2]=>001111=>6
[3,7,5,2,1,4,6]=>100101=>6
[3,7,5,2,1,6,4]=>100111=>6
[3,7,5,2,4,1,6]=>001101=>6
[3,7,5,2,4,6,1]=>000111=>6
[3,7,5,2,6,1,4]=>000111=>6
[3,7,5,2,6,4,1]=>001111=>6
[3,7,5,4,1,2,6]=>001101=>6
[3,7,5,4,1,6,2]=>001111=>6
[3,7,5,4,2,1,6]=>101101=>3
[3,7,5,4,2,6,1]=>001111=>6
[3,7,5,4,6,1,2]=>000111=>6
[3,7,5,4,6,2,1]=>100111=>6
[3,7,5,6,1,2,4]=>000011=>6
[3,7,5,6,1,4,2]=>001011=>6
[3,7,5,6,2,1,4]=>100011=>6
[3,7,5,6,2,4,1]=>001011=>6
[3,7,5,6,4,1,2]=>001011=>6
[3,7,5,6,4,2,1]=>101011=>6
[3,7,6,1,2,4,5]=>000011=>6
[3,7,6,1,2,5,4]=>000111=>6
[3,7,6,1,4,2,5]=>001011=>6
[3,7,6,1,4,5,2]=>000111=>6
[3,7,6,1,5,2,4]=>000111=>6
[3,7,6,1,5,4,2]=>001111=>6
[3,7,6,2,1,4,5]=>100011=>6
[3,7,6,2,1,5,4]=>100111=>6
[3,7,6,2,4,1,5]=>001011=>6
[3,7,6,2,4,5,1]=>000111=>6
[3,7,6,2,5,1,4]=>000111=>6
[3,7,6,2,5,4,1]=>001111=>6
[3,7,6,4,1,2,5]=>001011=>6
[3,7,6,4,1,5,2]=>001111=>6
[3,7,6,4,2,1,5]=>101011=>6
[3,7,6,4,2,5,1]=>001111=>6
[3,7,6,4,5,1,2]=>000111=>6
[3,7,6,4,5,2,1]=>100111=>6
[3,7,6,5,1,2,4]=>000111=>6
[3,7,6,5,1,4,2]=>001111=>6
[3,7,6,5,2,1,4]=>100111=>6
[3,7,6,5,2,4,1]=>001111=>6
[3,7,6,5,4,1,2]=>001111=>6
[3,7,6,5,4,2,1]=>101111=>6
[4,1,2,3,5,6,7]=>001000=>6
[4,1,2,3,5,7,6]=>001001=>3
[4,1,2,3,6,5,7]=>001010=>6
[4,1,2,3,6,7,5]=>001001=>3
[4,1,2,3,7,5,6]=>001001=>3
[4,1,2,3,7,6,5]=>001011=>6
[4,1,2,5,3,6,7]=>001100=>6
[4,1,2,5,3,7,6]=>001101=>6
[4,1,2,5,6,3,7]=>001010=>6
[4,1,2,5,6,7,3]=>001001=>3
[4,1,2,5,7,3,6]=>001001=>3
[4,1,2,5,7,6,3]=>001011=>6
[4,1,2,6,3,5,7]=>001010=>6
[4,1,2,6,3,7,5]=>001011=>6
[4,1,2,6,5,3,7]=>001110=>6
[4,1,2,6,5,7,3]=>001011=>6
[4,1,2,6,7,3,5]=>001001=>3
[4,1,2,6,7,5,3]=>001101=>6
[4,1,2,7,3,5,6]=>001001=>3
[4,1,2,7,3,6,5]=>001011=>6
[4,1,2,7,5,3,6]=>001101=>6
[4,1,2,7,5,6,3]=>001011=>6
[4,1,2,7,6,3,5]=>001011=>6
[4,1,2,7,6,5,3]=>001111=>6
[4,1,3,2,5,6,7]=>011000=>6
[4,1,3,2,5,7,6]=>011001=>6
[4,1,3,2,6,5,7]=>011010=>6
[4,1,3,2,6,7,5]=>011001=>6
[4,1,3,2,7,5,6]=>011001=>6
[4,1,3,2,7,6,5]=>011011=>3
[4,1,3,5,2,6,7]=>001100=>6
[4,1,3,5,2,7,6]=>001101=>6
[4,1,3,5,6,2,7]=>001010=>6
[4,1,3,5,6,7,2]=>001001=>3
[4,1,3,5,7,2,6]=>001001=>3
[4,1,3,5,7,6,2]=>001011=>6
[4,1,3,6,2,5,7]=>001010=>6
[4,1,3,6,2,7,5]=>001011=>6
[4,1,3,6,5,2,7]=>001110=>6
[4,1,3,6,5,7,2]=>001011=>6
[4,1,3,6,7,2,5]=>001001=>3
[4,1,3,6,7,5,2]=>001101=>6
[4,1,3,7,2,5,6]=>001001=>3
[4,1,3,7,2,6,5]=>001011=>6
[4,1,3,7,5,2,6]=>001101=>6
[4,1,3,7,5,6,2]=>001011=>6
[4,1,3,7,6,2,5]=>001011=>6
[4,1,3,7,6,5,2]=>001111=>6
[4,1,5,2,3,6,7]=>001100=>6
[4,1,5,2,3,7,6]=>001101=>6
[4,1,5,2,6,3,7]=>001110=>6
[4,1,5,2,6,7,3]=>001101=>6
[4,1,5,2,7,3,6]=>001101=>6
[4,1,5,2,7,6,3]=>001111=>6
[4,1,5,3,2,6,7]=>011100=>6
[4,1,5,3,2,7,6]=>011101=>6
[4,1,5,3,6,2,7]=>001110=>6
[4,1,5,3,6,7,2]=>001101=>6
[4,1,5,3,7,2,6]=>001101=>6
[4,1,5,3,7,6,2]=>001111=>6
[4,1,5,6,2,3,7]=>001010=>6
[4,1,5,6,2,7,3]=>001011=>6
[4,1,5,6,3,2,7]=>011010=>6
[4,1,5,6,3,7,2]=>001011=>6
[4,1,5,6,7,2,3]=>001001=>3
[4,1,5,6,7,3,2]=>011001=>6
[4,1,5,7,2,3,6]=>001001=>3
[4,1,5,7,2,6,3]=>001011=>6
[4,1,5,7,3,2,6]=>011001=>6
[4,1,5,7,3,6,2]=>001011=>6
[4,1,5,7,6,2,3]=>001011=>6
[4,1,5,7,6,3,2]=>011011=>3
[4,1,6,2,3,5,7]=>001010=>6
[4,1,6,2,3,7,5]=>001011=>6
[4,1,6,2,5,3,7]=>001110=>6
[4,1,6,2,5,7,3]=>001011=>6
[4,1,6,2,7,3,5]=>001011=>6
[4,1,6,2,7,5,3]=>001111=>6
[4,1,6,3,2,5,7]=>011010=>6
[4,1,6,3,2,7,5]=>011011=>3
[4,1,6,3,5,2,7]=>001110=>6
[4,1,6,3,5,7,2]=>001011=>6
[4,1,6,3,7,2,5]=>001011=>6
[4,1,6,3,7,5,2]=>001111=>6
[4,1,6,5,2,3,7]=>001110=>6
[4,1,6,5,2,7,3]=>001111=>6
[4,1,6,5,3,2,7]=>011110=>6
[4,1,6,5,3,7,2]=>001111=>6
[4,1,6,5,7,2,3]=>001011=>6
[4,1,6,5,7,3,2]=>011011=>3
[4,1,6,7,2,3,5]=>001001=>3
[4,1,6,7,2,5,3]=>001101=>6
[4,1,6,7,3,2,5]=>011001=>6
[4,1,6,7,3,5,2]=>001101=>6
[4,1,6,7,5,2,3]=>001101=>6
[4,1,6,7,5,3,2]=>011101=>6
[4,1,7,2,3,5,6]=>001001=>3
[4,1,7,2,3,6,5]=>001011=>6
[4,1,7,2,5,3,6]=>001101=>6
[4,1,7,2,5,6,3]=>001011=>6
[4,1,7,2,6,3,5]=>001011=>6
[4,1,7,2,6,5,3]=>001111=>6
[4,1,7,3,2,5,6]=>011001=>6
[4,1,7,3,2,6,5]=>011011=>3
[4,1,7,3,5,2,6]=>001101=>6
[4,1,7,3,5,6,2]=>001011=>6
[4,1,7,3,6,2,5]=>001011=>6
[4,1,7,3,6,5,2]=>001111=>6
[4,1,7,5,2,3,6]=>001101=>6
[4,1,7,5,2,6,3]=>001111=>6
[4,1,7,5,3,2,6]=>011101=>6
[4,1,7,5,3,6,2]=>001111=>6
[4,1,7,5,6,2,3]=>001011=>6
[4,1,7,5,6,3,2]=>011011=>3
[4,1,7,6,2,3,5]=>001011=>6
[4,1,7,6,2,5,3]=>001111=>6
[4,1,7,6,3,2,5]=>011011=>3
[4,1,7,6,3,5,2]=>001111=>6
[4,1,7,6,5,2,3]=>001111=>6
[4,1,7,6,5,3,2]=>011111=>6
[4,2,1,3,5,6,7]=>101000=>6
[4,2,1,3,5,7,6]=>101001=>6
[4,2,1,3,6,5,7]=>101010=>2
[4,2,1,3,6,7,5]=>101001=>6
[4,2,1,3,7,5,6]=>101001=>6
[4,2,1,3,7,6,5]=>101011=>6
[4,2,1,5,3,6,7]=>101100=>6
[4,2,1,5,3,7,6]=>101101=>3
[4,2,1,5,6,3,7]=>101010=>2
[4,2,1,5,6,7,3]=>101001=>6
[4,2,1,5,7,3,6]=>101001=>6
[4,2,1,5,7,6,3]=>101011=>6
[4,2,1,6,3,5,7]=>101010=>2
[4,2,1,6,3,7,5]=>101011=>6
[4,2,1,6,5,3,7]=>101110=>6
[4,2,1,6,5,7,3]=>101011=>6
[4,2,1,6,7,3,5]=>101001=>6
[4,2,1,6,7,5,3]=>101101=>3
[4,2,1,7,3,5,6]=>101001=>6
[4,2,1,7,3,6,5]=>101011=>6
[4,2,1,7,5,3,6]=>101101=>3
[4,2,1,7,5,6,3]=>101011=>6
[4,2,1,7,6,3,5]=>101011=>6
[4,2,1,7,6,5,3]=>101111=>6
[4,2,3,1,5,6,7]=>011000=>6
[4,2,3,1,5,7,6]=>011001=>6
[4,2,3,1,6,5,7]=>011010=>6
[4,2,3,1,6,7,5]=>011001=>6
[4,2,3,1,7,5,6]=>011001=>6
[4,2,3,1,7,6,5]=>011011=>3
[4,2,3,5,1,6,7]=>001100=>6
[4,2,3,5,1,7,6]=>001101=>6
[4,2,3,5,6,1,7]=>001010=>6
[4,2,3,5,6,7,1]=>001001=>3
[4,2,3,5,7,1,6]=>001001=>3
[4,2,3,5,7,6,1]=>001011=>6
[4,2,3,6,1,5,7]=>001010=>6
[4,2,3,6,1,7,5]=>001011=>6
[4,2,3,6,5,1,7]=>001110=>6
[4,2,3,6,5,7,1]=>001011=>6
[4,2,3,6,7,1,5]=>001001=>3
[4,2,3,6,7,5,1]=>001101=>6
[4,2,3,7,1,5,6]=>001001=>3
[4,2,3,7,1,6,5]=>001011=>6
[4,2,3,7,5,1,6]=>001101=>6
[4,2,3,7,5,6,1]=>001011=>6
[4,2,3,7,6,1,5]=>001011=>6
[4,2,3,7,6,5,1]=>001111=>6
[4,2,5,1,3,6,7]=>001100=>6
[4,2,5,1,3,7,6]=>001101=>6
[4,2,5,1,6,3,7]=>001110=>6
[4,2,5,1,6,7,3]=>001101=>6
[4,2,5,1,7,3,6]=>001101=>6
[4,2,5,1,7,6,3]=>001111=>6
[4,2,5,3,1,6,7]=>011100=>6
[4,2,5,3,1,7,6]=>011101=>6
[4,2,5,3,6,1,7]=>001110=>6
[4,2,5,3,6,7,1]=>001101=>6
[4,2,5,3,7,1,6]=>001101=>6
[4,2,5,3,7,6,1]=>001111=>6
[4,2,5,6,1,3,7]=>001010=>6
[4,2,5,6,1,7,3]=>001011=>6
[4,2,5,6,3,1,7]=>011010=>6
[4,2,5,6,3,7,1]=>001011=>6
[4,2,5,6,7,1,3]=>001001=>3
[4,2,5,6,7,3,1]=>011001=>6
[4,2,5,7,1,3,6]=>001001=>3
[4,2,5,7,1,6,3]=>001011=>6
[4,2,5,7,3,1,6]=>011001=>6
[4,2,5,7,3,6,1]=>001011=>6
[4,2,5,7,6,1,3]=>001011=>6
[4,2,5,7,6,3,1]=>011011=>3
[4,2,6,1,3,5,7]=>001010=>6
[4,2,6,1,3,7,5]=>001011=>6
[4,2,6,1,5,3,7]=>001110=>6
[4,2,6,1,5,7,3]=>001011=>6
[4,2,6,1,7,3,5]=>001011=>6
[4,2,6,1,7,5,3]=>001111=>6
[4,2,6,3,1,5,7]=>011010=>6
[4,2,6,3,1,7,5]=>011011=>3
[4,2,6,3,5,1,7]=>001110=>6
[4,2,6,3,5,7,1]=>001011=>6
[4,2,6,3,7,1,5]=>001011=>6
[4,2,6,3,7,5,1]=>001111=>6
[4,2,6,5,1,3,7]=>001110=>6
[4,2,6,5,1,7,3]=>001111=>6
[4,2,6,5,3,1,7]=>011110=>6
[4,2,6,5,3,7,1]=>001111=>6
[4,2,6,5,7,1,3]=>001011=>6
[4,2,6,5,7,3,1]=>011011=>3
[4,2,6,7,1,3,5]=>001001=>3
[4,2,6,7,1,5,3]=>001101=>6
[4,2,6,7,3,1,5]=>011001=>6
[4,2,6,7,3,5,1]=>001101=>6
[4,2,6,7,5,1,3]=>001101=>6
[4,2,6,7,5,3,1]=>011101=>6
[4,2,7,1,3,5,6]=>001001=>3
[4,2,7,1,3,6,5]=>001011=>6
[4,2,7,1,5,3,6]=>001101=>6
[4,2,7,1,5,6,3]=>001011=>6
[4,2,7,1,6,3,5]=>001011=>6
[4,2,7,1,6,5,3]=>001111=>6
[4,2,7,3,1,5,6]=>011001=>6
[4,2,7,3,1,6,5]=>011011=>3
[4,2,7,3,5,1,6]=>001101=>6
[4,2,7,3,5,6,1]=>001011=>6
[4,2,7,3,6,1,5]=>001011=>6
[4,2,7,3,6,5,1]=>001111=>6
[4,2,7,5,1,3,6]=>001101=>6
[4,2,7,5,1,6,3]=>001111=>6
[4,2,7,5,3,1,6]=>011101=>6
[4,2,7,5,3,6,1]=>001111=>6
[4,2,7,5,6,1,3]=>001011=>6
[4,2,7,5,6,3,1]=>011011=>3
[4,2,7,6,1,3,5]=>001011=>6
[4,2,7,6,1,5,3]=>001111=>6
[4,2,7,6,3,1,5]=>011011=>3
[4,2,7,6,3,5,1]=>001111=>6
[4,2,7,6,5,1,3]=>001111=>6
[4,2,7,6,5,3,1]=>011111=>6
[4,3,1,2,5,6,7]=>011000=>6
[4,3,1,2,5,7,6]=>011001=>6
[4,3,1,2,6,5,7]=>011010=>6
[4,3,1,2,6,7,5]=>011001=>6
[4,3,1,2,7,5,6]=>011001=>6
[4,3,1,2,7,6,5]=>011011=>3
[4,3,1,5,2,6,7]=>011100=>6
[4,3,1,5,2,7,6]=>011101=>6
[4,3,1,5,6,2,7]=>011010=>6
[4,3,1,5,6,7,2]=>011001=>6
[4,3,1,5,7,2,6]=>011001=>6
[4,3,1,5,7,6,2]=>011011=>3
[4,3,1,6,2,5,7]=>011010=>6
[4,3,1,6,2,7,5]=>011011=>3
[4,3,1,6,5,2,7]=>011110=>6
[4,3,1,6,5,7,2]=>011011=>3
[4,3,1,6,7,2,5]=>011001=>6
[4,3,1,6,7,5,2]=>011101=>6
[4,3,1,7,2,5,6]=>011001=>6
[4,3,1,7,2,6,5]=>011011=>3
[4,3,1,7,5,2,6]=>011101=>6
[4,3,1,7,5,6,2]=>011011=>3
[4,3,1,7,6,2,5]=>011011=>3
[4,3,1,7,6,5,2]=>011111=>6
[4,3,2,1,5,6,7]=>111000=>6
[4,3,2,1,5,7,6]=>111001=>6
[4,3,2,1,6,5,7]=>111010=>6
[4,3,2,1,6,7,5]=>111001=>6
[4,3,2,1,7,5,6]=>111001=>6
[4,3,2,1,7,6,5]=>111011=>6
[4,3,2,5,1,6,7]=>011100=>6
[4,3,2,5,1,7,6]=>011101=>6
[4,3,2,5,6,1,7]=>011010=>6
[4,3,2,5,6,7,1]=>011001=>6
[4,3,2,5,7,1,6]=>011001=>6
[4,3,2,5,7,6,1]=>011011=>3
[4,3,2,6,1,5,7]=>011010=>6
[4,3,2,6,1,7,5]=>011011=>3
[4,3,2,6,5,1,7]=>011110=>6
[4,3,2,6,5,7,1]=>011011=>3
[4,3,2,6,7,1,5]=>011001=>6
[4,3,2,6,7,5,1]=>011101=>6
[4,3,2,7,1,5,6]=>011001=>6
[4,3,2,7,1,6,5]=>011011=>3
[4,3,2,7,5,1,6]=>011101=>6
[4,3,2,7,5,6,1]=>011011=>3
[4,3,2,7,6,1,5]=>011011=>3
[4,3,2,7,6,5,1]=>011111=>6
[4,3,5,1,2,6,7]=>001100=>6
[4,3,5,1,2,7,6]=>001101=>6
[4,3,5,1,6,2,7]=>001110=>6
[4,3,5,1,6,7,2]=>001101=>6
[4,3,5,1,7,2,6]=>001101=>6
[4,3,5,1,7,6,2]=>001111=>6
[4,3,5,2,1,6,7]=>101100=>6
[4,3,5,2,1,7,6]=>101101=>3
[4,3,5,2,6,1,7]=>001110=>6
[4,3,5,2,6,7,1]=>001101=>6
[4,3,5,2,7,1,6]=>001101=>6
[4,3,5,2,7,6,1]=>001111=>6
[4,3,5,6,1,2,7]=>001010=>6
[4,3,5,6,1,7,2]=>001011=>6
[4,3,5,6,2,1,7]=>101010=>2
[4,3,5,6,2,7,1]=>001011=>6
[4,3,5,6,7,1,2]=>001001=>3
[4,3,5,6,7,2,1]=>101001=>6
[4,3,5,7,1,2,6]=>001001=>3
[4,3,5,7,1,6,2]=>001011=>6
[4,3,5,7,2,1,6]=>101001=>6
[4,3,5,7,2,6,1]=>001011=>6
[4,3,5,7,6,1,2]=>001011=>6
[4,3,5,7,6,2,1]=>101011=>6
[4,3,6,1,2,5,7]=>001010=>6
[4,3,6,1,2,7,5]=>001011=>6
[4,3,6,1,5,2,7]=>001110=>6
[4,3,6,1,5,7,2]=>001011=>6
[4,3,6,1,7,2,5]=>001011=>6
[4,3,6,1,7,5,2]=>001111=>6
[4,3,6,2,1,5,7]=>101010=>2
[4,3,6,2,1,7,5]=>101011=>6
[4,3,6,2,5,1,7]=>001110=>6
[4,3,6,2,5,7,1]=>001011=>6
[4,3,6,2,7,1,5]=>001011=>6
[4,3,6,2,7,5,1]=>001111=>6
[4,3,6,5,1,2,7]=>001110=>6
[4,3,6,5,1,7,2]=>001111=>6
[4,3,6,5,2,1,7]=>101110=>6
[4,3,6,5,2,7,1]=>001111=>6
[4,3,6,5,7,1,2]=>001011=>6
[4,3,6,5,7,2,1]=>101011=>6
[4,3,6,7,1,2,5]=>001001=>3
[4,3,6,7,1,5,2]=>001101=>6
[4,3,6,7,2,1,5]=>101001=>6
[4,3,6,7,2,5,1]=>001101=>6
[4,3,6,7,5,1,2]=>001101=>6
[4,3,6,7,5,2,1]=>101101=>3
[4,3,7,1,2,5,6]=>001001=>3
[4,3,7,1,2,6,5]=>001011=>6
[4,3,7,1,5,2,6]=>001101=>6
[4,3,7,1,5,6,2]=>001011=>6
[4,3,7,1,6,2,5]=>001011=>6
[4,3,7,1,6,5,2]=>001111=>6
[4,3,7,2,1,5,6]=>101001=>6
[4,3,7,2,1,6,5]=>101011=>6
[4,3,7,2,5,1,6]=>001101=>6
[4,3,7,2,5,6,1]=>001011=>6
[4,3,7,2,6,1,5]=>001011=>6
[4,3,7,2,6,5,1]=>001111=>6
[4,3,7,5,1,2,6]=>001101=>6
[4,3,7,5,1,6,2]=>001111=>6
[4,3,7,5,2,1,6]=>101101=>3
[4,3,7,5,2,6,1]=>001111=>6
[4,3,7,5,6,1,2]=>001011=>6
[4,3,7,5,6,2,1]=>101011=>6
[4,3,7,6,1,2,5]=>001011=>6
[4,3,7,6,1,5,2]=>001111=>6
[4,3,7,6,2,1,5]=>101011=>6
[4,3,7,6,2,5,1]=>001111=>6
[4,3,7,6,5,1,2]=>001111=>6
[4,3,7,6,5,2,1]=>101111=>6
[4,5,1,2,3,6,7]=>000100=>6
[4,5,1,2,3,7,6]=>000101=>6
[4,5,1,2,6,3,7]=>000110=>6
[4,5,1,2,6,7,3]=>000101=>6
[4,5,1,2,7,3,6]=>000101=>6
[4,5,1,2,7,6,3]=>000111=>6
[4,5,1,3,2,6,7]=>010100=>6
[4,5,1,3,2,7,6]=>010101=>2
[4,5,1,3,6,2,7]=>000110=>6
[4,5,1,3,6,7,2]=>000101=>6
[4,5,1,3,7,2,6]=>000101=>6
[4,5,1,3,7,6,2]=>000111=>6
[4,5,1,6,2,3,7]=>000110=>6
[4,5,1,6,2,7,3]=>000111=>6
[4,5,1,6,3,2,7]=>010110=>6
[4,5,1,6,3,7,2]=>000111=>6
[4,5,1,6,7,2,3]=>000101=>6
[4,5,1,6,7,3,2]=>010101=>2
[4,5,1,7,2,3,6]=>000101=>6
[4,5,1,7,2,6,3]=>000111=>6
[4,5,1,7,3,2,6]=>010101=>2
[4,5,1,7,3,6,2]=>000111=>6
[4,5,1,7,6,2,3]=>000111=>6
[4,5,1,7,6,3,2]=>010111=>6
[4,5,2,1,3,6,7]=>100100=>3
[4,5,2,1,3,7,6]=>100101=>6
[4,5,2,1,6,3,7]=>100110=>6
[4,5,2,1,6,7,3]=>100101=>6
[4,5,2,1,7,3,6]=>100101=>6
[4,5,2,1,7,6,3]=>100111=>6
[4,5,2,3,1,6,7]=>010100=>6
[4,5,2,3,1,7,6]=>010101=>2
[4,5,2,3,6,1,7]=>000110=>6
[4,5,2,3,6,7,1]=>000101=>6
[4,5,2,3,7,1,6]=>000101=>6
[4,5,2,3,7,6,1]=>000111=>6
[4,5,2,6,1,3,7]=>000110=>6
[4,5,2,6,1,7,3]=>000111=>6
[4,5,2,6,3,1,7]=>010110=>6
[4,5,2,6,3,7,1]=>000111=>6
[4,5,2,6,7,1,3]=>000101=>6
[4,5,2,6,7,3,1]=>010101=>2
[4,5,2,7,1,3,6]=>000101=>6
[4,5,2,7,1,6,3]=>000111=>6
[4,5,2,7,3,1,6]=>010101=>2
[4,5,2,7,3,6,1]=>000111=>6
[4,5,2,7,6,1,3]=>000111=>6
[4,5,2,7,6,3,1]=>010111=>6
[4,5,3,1,2,6,7]=>010100=>6
[4,5,3,1,2,7,6]=>010101=>2
[4,5,3,1,6,2,7]=>010110=>6
[4,5,3,1,6,7,2]=>010101=>2
[4,5,3,1,7,2,6]=>010101=>2
[4,5,3,1,7,6,2]=>010111=>6
[4,5,3,2,1,6,7]=>110100=>6
[4,5,3,2,1,7,6]=>110101=>6
[4,5,3,2,6,1,7]=>010110=>6
[4,5,3,2,6,7,1]=>010101=>2
[4,5,3,2,7,1,6]=>010101=>2
[4,5,3,2,7,6,1]=>010111=>6
[4,5,3,6,1,2,7]=>000110=>6
[4,5,3,6,1,7,2]=>000111=>6
[4,5,3,6,2,1,7]=>100110=>6
[4,5,3,6,2,7,1]=>000111=>6
[4,5,3,6,7,1,2]=>000101=>6
[4,5,3,6,7,2,1]=>100101=>6
[4,5,3,7,1,2,6]=>000101=>6
[4,5,3,7,1,6,2]=>000111=>6
[4,5,3,7,2,1,6]=>100101=>6
[4,5,3,7,2,6,1]=>000111=>6
[4,5,3,7,6,1,2]=>000111=>6
[4,5,3,7,6,2,1]=>100111=>6
[4,5,6,1,2,3,7]=>000010=>6
[4,5,6,1,2,7,3]=>000011=>6
[4,5,6,1,3,2,7]=>010010=>3
[4,5,6,1,3,7,2]=>000011=>6
[4,5,6,1,7,2,3]=>000011=>6
[4,5,6,1,7,3,2]=>010011=>6
[4,5,6,2,1,3,7]=>100010=>6
[4,5,6,2,1,7,3]=>100011=>6
[4,5,6,2,3,1,7]=>010010=>3
[4,5,6,2,3,7,1]=>000011=>6
[4,5,6,2,7,1,3]=>000011=>6
[4,5,6,2,7,3,1]=>010011=>6
[4,5,6,3,1,2,7]=>010010=>3
[4,5,6,3,1,7,2]=>010011=>6
[4,5,6,3,2,1,7]=>110010=>6
[4,5,6,3,2,7,1]=>010011=>6
[4,5,6,3,7,1,2]=>000011=>6
[4,5,6,3,7,2,1]=>100011=>6
[4,5,6,7,1,2,3]=>000001=>6
[4,5,6,7,1,3,2]=>010001=>6
[4,5,6,7,2,1,3]=>100001=>6
[4,5,6,7,2,3,1]=>010001=>6
[4,5,6,7,3,1,2]=>010001=>6
[4,5,6,7,3,2,1]=>110001=>6
[4,5,7,1,2,3,6]=>000001=>6
[4,5,7,1,2,6,3]=>000011=>6
[4,5,7,1,3,2,6]=>010001=>6
[4,5,7,1,3,6,2]=>000011=>6
[4,5,7,1,6,2,3]=>000011=>6
[4,5,7,1,6,3,2]=>010011=>6
[4,5,7,2,1,3,6]=>100001=>6
[4,5,7,2,1,6,3]=>100011=>6
[4,5,7,2,3,1,6]=>010001=>6
[4,5,7,2,3,6,1]=>000011=>6
[4,5,7,2,6,1,3]=>000011=>6
[4,5,7,2,6,3,1]=>010011=>6
[4,5,7,3,1,2,6]=>010001=>6
[4,5,7,3,1,6,2]=>010011=>6
[4,5,7,3,2,1,6]=>110001=>6
[4,5,7,3,2,6,1]=>010011=>6
[4,5,7,3,6,1,2]=>000011=>6
[4,5,7,3,6,2,1]=>100011=>6
[4,5,7,6,1,2,3]=>000011=>6
[4,5,7,6,1,3,2]=>010011=>6
[4,5,7,6,2,1,3]=>100011=>6
[4,5,7,6,2,3,1]=>010011=>6
[4,5,7,6,3,1,2]=>010011=>6
[4,5,7,6,3,2,1]=>110011=>6
[4,6,1,2,3,5,7]=>000010=>6
[4,6,1,2,3,7,5]=>000011=>6
[4,6,1,2,5,3,7]=>000110=>6
[4,6,1,2,5,7,3]=>000011=>6
[4,6,1,2,7,3,5]=>000011=>6
[4,6,1,2,7,5,3]=>000111=>6
[4,6,1,3,2,5,7]=>010010=>3
[4,6,1,3,2,7,5]=>010011=>6
[4,6,1,3,5,2,7]=>000110=>6
[4,6,1,3,5,7,2]=>000011=>6
[4,6,1,3,7,2,5]=>000011=>6
[4,6,1,3,7,5,2]=>000111=>6
[4,6,1,5,2,3,7]=>000110=>6
[4,6,1,5,2,7,3]=>000111=>6
[4,6,1,5,3,2,7]=>010110=>6
[4,6,1,5,3,7,2]=>000111=>6
[4,6,1,5,7,2,3]=>000011=>6
[4,6,1,5,7,3,2]=>010011=>6
[4,6,1,7,2,3,5]=>000011=>6
[4,6,1,7,2,5,3]=>000111=>6
[4,6,1,7,3,2,5]=>010011=>6
[4,6,1,7,3,5,2]=>000111=>6
[4,6,1,7,5,2,3]=>000111=>6
[4,6,1,7,5,3,2]=>010111=>6
[4,6,2,1,3,5,7]=>100010=>6
[4,6,2,1,3,7,5]=>100011=>6
[4,6,2,1,5,3,7]=>100110=>6
[4,6,2,1,5,7,3]=>100011=>6
[4,6,2,1,7,3,5]=>100011=>6
[4,6,2,1,7,5,3]=>100111=>6
[4,6,2,3,1,5,7]=>010010=>3
[4,6,2,3,1,7,5]=>010011=>6
[4,6,2,3,5,1,7]=>000110=>6
[4,6,2,3,5,7,1]=>000011=>6
[4,6,2,3,7,1,5]=>000011=>6
[4,6,2,3,7,5,1]=>000111=>6
[4,6,2,5,1,3,7]=>000110=>6
[4,6,2,5,1,7,3]=>000111=>6
[4,6,2,5,3,1,7]=>010110=>6
[4,6,2,5,3,7,1]=>000111=>6
[4,6,2,5,7,1,3]=>000011=>6
[4,6,2,5,7,3,1]=>010011=>6
[4,6,2,7,1,3,5]=>000011=>6
[4,6,2,7,1,5,3]=>000111=>6
[4,6,2,7,3,1,5]=>010011=>6
[4,6,2,7,3,5,1]=>000111=>6
[4,6,2,7,5,1,3]=>000111=>6
[4,6,2,7,5,3,1]=>010111=>6
[4,6,3,1,2,5,7]=>010010=>3
[4,6,3,1,2,7,5]=>010011=>6
[4,6,3,1,5,2,7]=>010110=>6
[4,6,3,1,5,7,2]=>010011=>6
[4,6,3,1,7,2,5]=>010011=>6
[4,6,3,1,7,5,2]=>010111=>6
[4,6,3,2,1,5,7]=>110010=>6
[4,6,3,2,1,7,5]=>110011=>6
[4,6,3,2,5,1,7]=>010110=>6
[4,6,3,2,5,7,1]=>010011=>6
[4,6,3,2,7,1,5]=>010011=>6
[4,6,3,2,7,5,1]=>010111=>6
[4,6,3,5,1,2,7]=>000110=>6
[4,6,3,5,1,7,2]=>000111=>6
[4,6,3,5,2,1,7]=>100110=>6
[4,6,3,5,2,7,1]=>000111=>6
[4,6,3,5,7,1,2]=>000011=>6
[4,6,3,5,7,2,1]=>100011=>6
[4,6,3,7,1,2,5]=>000011=>6
[4,6,3,7,1,5,2]=>000111=>6
[4,6,3,7,2,1,5]=>100011=>6
[4,6,3,7,2,5,1]=>000111=>6
[4,6,3,7,5,1,2]=>000111=>6
[4,6,3,7,5,2,1]=>100111=>6
[4,6,5,1,2,3,7]=>000110=>6
[4,6,5,1,2,7,3]=>000111=>6
[4,6,5,1,3,2,7]=>010110=>6
[4,6,5,1,3,7,2]=>000111=>6
[4,6,5,1,7,2,3]=>000111=>6
[4,6,5,1,7,3,2]=>010111=>6
[4,6,5,2,1,3,7]=>100110=>6
[4,6,5,2,1,7,3]=>100111=>6
[4,6,5,2,3,1,7]=>010110=>6
[4,6,5,2,3,7,1]=>000111=>6
[4,6,5,2,7,1,3]=>000111=>6
[4,6,5,2,7,3,1]=>010111=>6
[4,6,5,3,1,2,7]=>010110=>6
[4,6,5,3,1,7,2]=>010111=>6
[4,6,5,3,2,1,7]=>110110=>3
[4,6,5,3,2,7,1]=>010111=>6
[4,6,5,3,7,1,2]=>000111=>6
[4,6,5,3,7,2,1]=>100111=>6
[4,6,5,7,1,2,3]=>000011=>6
[4,6,5,7,1,3,2]=>010011=>6
[4,6,5,7,2,1,3]=>100011=>6
[4,6,5,7,2,3,1]=>010011=>6
[4,6,5,7,3,1,2]=>010011=>6
[4,6,5,7,3,2,1]=>110011=>6
[4,6,7,1,2,3,5]=>000001=>6
[4,6,7,1,2,5,3]=>000101=>6
[4,6,7,1,3,2,5]=>010001=>6
[4,6,7,1,3,5,2]=>000101=>6
[4,6,7,1,5,2,3]=>000101=>6
[4,6,7,1,5,3,2]=>010101=>2
[4,6,7,2,1,3,5]=>100001=>6
[4,6,7,2,1,5,3]=>100101=>6
[4,6,7,2,3,1,5]=>010001=>6
[4,6,7,2,3,5,1]=>000101=>6
[4,6,7,2,5,1,3]=>000101=>6
[4,6,7,2,5,3,1]=>010101=>2
[4,6,7,3,1,2,5]=>010001=>6
[4,6,7,3,1,5,2]=>010101=>2
[4,6,7,3,2,1,5]=>110001=>6
[4,6,7,3,2,5,1]=>010101=>2
[4,6,7,3,5,1,2]=>000101=>6
[4,6,7,3,5,2,1]=>100101=>6
[4,6,7,5,1,2,3]=>000101=>6
[4,6,7,5,1,3,2]=>010101=>2
[4,6,7,5,2,1,3]=>100101=>6
[4,6,7,5,2,3,1]=>010101=>2
[4,6,7,5,3,1,2]=>010101=>2
[4,6,7,5,3,2,1]=>110101=>6
[4,7,1,2,3,5,6]=>000001=>6
[4,7,1,2,3,6,5]=>000011=>6
[4,7,1,2,5,3,6]=>000101=>6
[4,7,1,2,5,6,3]=>000011=>6
[4,7,1,2,6,3,5]=>000011=>6
[4,7,1,2,6,5,3]=>000111=>6
[4,7,1,3,2,5,6]=>010001=>6
[4,7,1,3,2,6,5]=>010011=>6
[4,7,1,3,5,2,6]=>000101=>6
[4,7,1,3,5,6,2]=>000011=>6
[4,7,1,3,6,2,5]=>000011=>6
[4,7,1,3,6,5,2]=>000111=>6
[4,7,1,5,2,3,6]=>000101=>6
[4,7,1,5,2,6,3]=>000111=>6
[4,7,1,5,3,2,6]=>010101=>2
[4,7,1,5,3,6,2]=>000111=>6
[4,7,1,5,6,2,3]=>000011=>6
[4,7,1,5,6,3,2]=>010011=>6
[4,7,1,6,2,3,5]=>000011=>6
[4,7,1,6,2,5,3]=>000111=>6
[4,7,1,6,3,2,5]=>010011=>6
[4,7,1,6,3,5,2]=>000111=>6
[4,7,1,6,5,2,3]=>000111=>6
[4,7,1,6,5,3,2]=>010111=>6
[4,7,2,1,3,5,6]=>100001=>6
[4,7,2,1,3,6,5]=>100011=>6
[4,7,2,1,5,3,6]=>100101=>6
[4,7,2,1,5,6,3]=>100011=>6
[4,7,2,1,6,3,5]=>100011=>6
[4,7,2,1,6,5,3]=>100111=>6
[4,7,2,3,1,5,6]=>010001=>6
[4,7,2,3,1,6,5]=>010011=>6
[4,7,2,3,5,1,6]=>000101=>6
[4,7,2,3,5,6,1]=>000011=>6
[4,7,2,3,6,1,5]=>000011=>6
[4,7,2,3,6,5,1]=>000111=>6
[4,7,2,5,1,3,6]=>000101=>6
[4,7,2,5,1,6,3]=>000111=>6
[4,7,2,5,3,1,6]=>010101=>2
[4,7,2,5,3,6,1]=>000111=>6
[4,7,2,5,6,1,3]=>000011=>6
[4,7,2,5,6,3,1]=>010011=>6
[4,7,2,6,1,3,5]=>000011=>6
[4,7,2,6,1,5,3]=>000111=>6
[4,7,2,6,3,1,5]=>010011=>6
[4,7,2,6,3,5,1]=>000111=>6
[4,7,2,6,5,1,3]=>000111=>6
[4,7,2,6,5,3,1]=>010111=>6
[4,7,3,1,2,5,6]=>010001=>6
[4,7,3,1,2,6,5]=>010011=>6
[4,7,3,1,5,2,6]=>010101=>2
[4,7,3,1,5,6,2]=>010011=>6
[4,7,3,1,6,2,5]=>010011=>6
[4,7,3,1,6,5,2]=>010111=>6
[4,7,3,2,1,5,6]=>110001=>6
[4,7,3,2,1,6,5]=>110011=>6
[4,7,3,2,5,1,6]=>010101=>2
[4,7,3,2,5,6,1]=>010011=>6
[4,7,3,2,6,1,5]=>010011=>6
[4,7,3,2,6,5,1]=>010111=>6
[4,7,3,5,1,2,6]=>000101=>6
[4,7,3,5,1,6,2]=>000111=>6
[4,7,3,5,2,1,6]=>100101=>6
[4,7,3,5,2,6,1]=>000111=>6
[4,7,3,5,6,1,2]=>000011=>6
[4,7,3,5,6,2,1]=>100011=>6
[4,7,3,6,1,2,5]=>000011=>6
[4,7,3,6,1,5,2]=>000111=>6
[4,7,3,6,2,1,5]=>100011=>6
[4,7,3,6,2,5,1]=>000111=>6
[4,7,3,6,5,1,2]=>000111=>6
[4,7,3,6,5,2,1]=>100111=>6
[4,7,5,1,2,3,6]=>000101=>6
[4,7,5,1,2,6,3]=>000111=>6
[4,7,5,1,3,2,6]=>010101=>2
[4,7,5,1,3,6,2]=>000111=>6
[4,7,5,1,6,2,3]=>000111=>6
[4,7,5,1,6,3,2]=>010111=>6
[4,7,5,2,1,3,6]=>100101=>6
[4,7,5,2,1,6,3]=>100111=>6
[4,7,5,2,3,1,6]=>010101=>2
[4,7,5,2,3,6,1]=>000111=>6
[4,7,5,2,6,1,3]=>000111=>6
[4,7,5,2,6,3,1]=>010111=>6
[4,7,5,3,1,2,6]=>010101=>2
[4,7,5,3,1,6,2]=>010111=>6
[4,7,5,3,2,1,6]=>110101=>6
[4,7,5,3,2,6,1]=>010111=>6
[4,7,5,3,6,1,2]=>000111=>6
[4,7,5,3,6,2,1]=>100111=>6
[4,7,5,6,1,2,3]=>000011=>6
[4,7,5,6,1,3,2]=>010011=>6
[4,7,5,6,2,1,3]=>100011=>6
[4,7,5,6,2,3,1]=>010011=>6
[4,7,5,6,3,1,2]=>010011=>6
[4,7,5,6,3,2,1]=>110011=>6
[4,7,6,1,2,3,5]=>000011=>6
[4,7,6,1,2,5,3]=>000111=>6
[4,7,6,1,3,2,5]=>010011=>6
[4,7,6,1,3,5,2]=>000111=>6
[4,7,6,1,5,2,3]=>000111=>6
[4,7,6,1,5,3,2]=>010111=>6
[4,7,6,2,1,3,5]=>100011=>6
[4,7,6,2,1,5,3]=>100111=>6
[4,7,6,2,3,1,5]=>010011=>6
[4,7,6,2,3,5,1]=>000111=>6
[4,7,6,2,5,1,3]=>000111=>6
[4,7,6,2,5,3,1]=>010111=>6
[4,7,6,3,1,2,5]=>010011=>6
[4,7,6,3,1,5,2]=>010111=>6
[4,7,6,3,2,1,5]=>110011=>6
[4,7,6,3,2,5,1]=>010111=>6
[4,7,6,3,5,1,2]=>000111=>6
[4,7,6,3,5,2,1]=>100111=>6
[4,7,6,5,1,2,3]=>000111=>6
[4,7,6,5,1,3,2]=>010111=>6
[4,7,6,5,2,1,3]=>100111=>6
[4,7,6,5,2,3,1]=>010111=>6
[4,7,6,5,3,1,2]=>010111=>6
[4,7,6,5,3,2,1]=>110111=>6
[5,1,2,3,4,6,7]=>000100=>6
[5,1,2,3,4,7,6]=>000101=>6
[5,1,2,3,6,4,7]=>000110=>6
[5,1,2,3,6,7,4]=>000101=>6
[5,1,2,3,7,4,6]=>000101=>6
[5,1,2,3,7,6,4]=>000111=>6
[5,1,2,4,3,6,7]=>001100=>6
[5,1,2,4,3,7,6]=>001101=>6
[5,1,2,4,6,3,7]=>000110=>6
[5,1,2,4,6,7,3]=>000101=>6
[5,1,2,4,7,3,6]=>000101=>6
[5,1,2,4,7,6,3]=>000111=>6
[5,1,2,6,3,4,7]=>000110=>6
[5,1,2,6,3,7,4]=>000111=>6
[5,1,2,6,4,3,7]=>001110=>6
[5,1,2,6,4,7,3]=>000111=>6
[5,1,2,6,7,3,4]=>000101=>6
[5,1,2,6,7,4,3]=>001101=>6
[5,1,2,7,3,4,6]=>000101=>6
[5,1,2,7,3,6,4]=>000111=>6
[5,1,2,7,4,3,6]=>001101=>6
[5,1,2,7,4,6,3]=>000111=>6
[5,1,2,7,6,3,4]=>000111=>6
[5,1,2,7,6,4,3]=>001111=>6
[5,1,3,2,4,6,7]=>010100=>6
[5,1,3,2,4,7,6]=>010101=>2
[5,1,3,2,6,4,7]=>010110=>6
[5,1,3,2,6,7,4]=>010101=>2
[5,1,3,2,7,4,6]=>010101=>2
[5,1,3,2,7,6,4]=>010111=>6
[5,1,3,4,2,6,7]=>001100=>6
[5,1,3,4,2,7,6]=>001101=>6
[5,1,3,4,6,2,7]=>000110=>6
[5,1,3,4,6,7,2]=>000101=>6
[5,1,3,4,7,2,6]=>000101=>6
[5,1,3,4,7,6,2]=>000111=>6
[5,1,3,6,2,4,7]=>000110=>6
[5,1,3,6,2,7,4]=>000111=>6
[5,1,3,6,4,2,7]=>001110=>6
[5,1,3,6,4,7,2]=>000111=>6
[5,1,3,6,7,2,4]=>000101=>6
[5,1,3,6,7,4,2]=>001101=>6
[5,1,3,7,2,4,6]=>000101=>6
[5,1,3,7,2,6,4]=>000111=>6
[5,1,3,7,4,2,6]=>001101=>6
[5,1,3,7,4,6,2]=>000111=>6
[5,1,3,7,6,2,4]=>000111=>6
[5,1,3,7,6,4,2]=>001111=>6
[5,1,4,2,3,6,7]=>001100=>6
[5,1,4,2,3,7,6]=>001101=>6
[5,1,4,2,6,3,7]=>001110=>6
[5,1,4,2,6,7,3]=>001101=>6
[5,1,4,2,7,3,6]=>001101=>6
[5,1,4,2,7,6,3]=>001111=>6
[5,1,4,3,2,6,7]=>011100=>6
[5,1,4,3,2,7,6]=>011101=>6
[5,1,4,3,6,2,7]=>001110=>6
[5,1,4,3,6,7,2]=>001101=>6
[5,1,4,3,7,2,6]=>001101=>6
[5,1,4,3,7,6,2]=>001111=>6
[5,1,4,6,2,3,7]=>000110=>6
[5,1,4,6,2,7,3]=>000111=>6
[5,1,4,6,3,2,7]=>010110=>6
[5,1,4,6,3,7,2]=>000111=>6
[5,1,4,6,7,2,3]=>000101=>6
[5,1,4,6,7,3,2]=>010101=>2
[5,1,4,7,2,3,6]=>000101=>6
[5,1,4,7,2,6,3]=>000111=>6
[5,1,4,7,3,2,6]=>010101=>2
[5,1,4,7,3,6,2]=>000111=>6
[5,1,4,7,6,2,3]=>000111=>6
[5,1,4,7,6,3,2]=>010111=>6
[5,1,6,2,3,4,7]=>000110=>6
[5,1,6,2,3,7,4]=>000111=>6
[5,1,6,2,4,3,7]=>001110=>6
[5,1,6,2,4,7,3]=>000111=>6
[5,1,6,2,7,3,4]=>000111=>6
[5,1,6,2,7,4,3]=>001111=>6
[5,1,6,3,2,4,7]=>010110=>6
[5,1,6,3,2,7,4]=>010111=>6
[5,1,6,3,4,2,7]=>001110=>6
[5,1,6,3,4,7,2]=>000111=>6
[5,1,6,3,7,2,4]=>000111=>6
[5,1,6,3,7,4,2]=>001111=>6
[5,1,6,4,2,3,7]=>001110=>6
[5,1,6,4,2,7,3]=>001111=>6
[5,1,6,4,3,2,7]=>011110=>6
[5,1,6,4,3,7,2]=>001111=>6
[5,1,6,4,7,2,3]=>000111=>6
[5,1,6,4,7,3,2]=>010111=>6
[5,1,6,7,2,3,4]=>000101=>6
[5,1,6,7,2,4,3]=>001101=>6
[5,1,6,7,3,2,4]=>010101=>2
[5,1,6,7,3,4,2]=>001101=>6
[5,1,6,7,4,2,3]=>001101=>6
[5,1,6,7,4,3,2]=>011101=>6
[5,1,7,2,3,4,6]=>000101=>6
[5,1,7,2,3,6,4]=>000111=>6
[5,1,7,2,4,3,6]=>001101=>6
[5,1,7,2,4,6,3]=>000111=>6
[5,1,7,2,6,3,4]=>000111=>6
[5,1,7,2,6,4,3]=>001111=>6
[5,1,7,3,2,4,6]=>010101=>2
[5,1,7,3,2,6,4]=>010111=>6
[5,1,7,3,4,2,6]=>001101=>6
[5,1,7,3,4,6,2]=>000111=>6
[5,1,7,3,6,2,4]=>000111=>6
[5,1,7,3,6,4,2]=>001111=>6
[5,1,7,4,2,3,6]=>001101=>6
[5,1,7,4,2,6,3]=>001111=>6
[5,1,7,4,3,2,6]=>011101=>6
[5,1,7,4,3,6,2]=>001111=>6
[5,1,7,4,6,2,3]=>000111=>6
[5,1,7,4,6,3,2]=>010111=>6
[5,1,7,6,2,3,4]=>000111=>6
[5,1,7,6,2,4,3]=>001111=>6
[5,1,7,6,3,2,4]=>010111=>6
[5,1,7,6,3,4,2]=>001111=>6
[5,1,7,6,4,2,3]=>001111=>6
[5,1,7,6,4,3,2]=>011111=>6
[5,2,1,3,4,6,7]=>100100=>3
[5,2,1,3,4,7,6]=>100101=>6
[5,2,1,3,6,4,7]=>100110=>6
[5,2,1,3,6,7,4]=>100101=>6
[5,2,1,3,7,4,6]=>100101=>6
[5,2,1,3,7,6,4]=>100111=>6
[5,2,1,4,3,6,7]=>101100=>6
[5,2,1,4,3,7,6]=>101101=>3
[5,2,1,4,6,3,7]=>100110=>6
[5,2,1,4,6,7,3]=>100101=>6
[5,2,1,4,7,3,6]=>100101=>6
[5,2,1,4,7,6,3]=>100111=>6
[5,2,1,6,3,4,7]=>100110=>6
[5,2,1,6,3,7,4]=>100111=>6
[5,2,1,6,4,3,7]=>101110=>6
[5,2,1,6,4,7,3]=>100111=>6
[5,2,1,6,7,3,4]=>100101=>6
[5,2,1,6,7,4,3]=>101101=>3
[5,2,1,7,3,4,6]=>100101=>6
[5,2,1,7,3,6,4]=>100111=>6
[5,2,1,7,4,3,6]=>101101=>3
[5,2,1,7,4,6,3]=>100111=>6
[5,2,1,7,6,3,4]=>100111=>6
[5,2,1,7,6,4,3]=>101111=>6
[5,2,3,1,4,6,7]=>010100=>6
[5,2,3,1,4,7,6]=>010101=>2
[5,2,3,1,6,4,7]=>010110=>6
[5,2,3,1,6,7,4]=>010101=>2
[5,2,3,1,7,4,6]=>010101=>2
[5,2,3,1,7,6,4]=>010111=>6
[5,2,3,4,1,6,7]=>001100=>6
[5,2,3,4,1,7,6]=>001101=>6
[5,2,3,4,6,1,7]=>000110=>6
[5,2,3,4,6,7,1]=>000101=>6
[5,2,3,4,7,1,6]=>000101=>6
[5,2,3,4,7,6,1]=>000111=>6
[5,2,3,6,1,4,7]=>000110=>6
[5,2,3,6,1,7,4]=>000111=>6
[5,2,3,6,4,1,7]=>001110=>6
[5,2,3,6,4,7,1]=>000111=>6
[5,2,3,6,7,1,4]=>000101=>6
[5,2,3,6,7,4,1]=>001101=>6
[5,2,3,7,1,4,6]=>000101=>6
[5,2,3,7,1,6,4]=>000111=>6
[5,2,3,7,4,1,6]=>001101=>6
[5,2,3,7,4,6,1]=>000111=>6
[5,2,3,7,6,1,4]=>000111=>6
[5,2,3,7,6,4,1]=>001111=>6
[5,2,4,1,3,6,7]=>001100=>6
[5,2,4,1,3,7,6]=>001101=>6
[5,2,4,1,6,3,7]=>001110=>6
[5,2,4,1,6,7,3]=>001101=>6
[5,2,4,1,7,3,6]=>001101=>6
[5,2,4,1,7,6,3]=>001111=>6
[5,2,4,3,1,6,7]=>011100=>6
[5,2,4,3,1,7,6]=>011101=>6
[5,2,4,3,6,1,7]=>001110=>6
[5,2,4,3,6,7,1]=>001101=>6
[5,2,4,3,7,1,6]=>001101=>6
[5,2,4,3,7,6,1]=>001111=>6
[5,2,4,6,1,3,7]=>000110=>6
[5,2,4,6,1,7,3]=>000111=>6
[5,2,4,6,3,1,7]=>010110=>6
[5,2,4,6,3,7,1]=>000111=>6
[5,2,4,6,7,1,3]=>000101=>6
[5,2,4,6,7,3,1]=>010101=>2
[5,2,4,7,1,3,6]=>000101=>6
[5,2,4,7,1,6,3]=>000111=>6
[5,2,4,7,3,1,6]=>010101=>2
[5,2,4,7,3,6,1]=>000111=>6
[5,2,4,7,6,1,3]=>000111=>6
[5,2,4,7,6,3,1]=>010111=>6
[5,2,6,1,3,4,7]=>000110=>6
[5,2,6,1,3,7,4]=>000111=>6
[5,2,6,1,4,3,7]=>001110=>6
[5,2,6,1,4,7,3]=>000111=>6
[5,2,6,1,7,3,4]=>000111=>6
[5,2,6,1,7,4,3]=>001111=>6
[5,2,6,3,1,4,7]=>010110=>6
[5,2,6,3,1,7,4]=>010111=>6
[5,2,6,3,4,1,7]=>001110=>6
[5,2,6,3,4,7,1]=>000111=>6
[5,2,6,3,7,1,4]=>000111=>6
[5,2,6,3,7,4,1]=>001111=>6
[5,2,6,4,1,3,7]=>001110=>6
[5,2,6,4,1,7,3]=>001111=>6
[5,2,6,4,3,1,7]=>011110=>6
[5,2,6,4,3,7,1]=>001111=>6
[5,2,6,4,7,1,3]=>000111=>6
[5,2,6,4,7,3,1]=>010111=>6
[5,2,6,7,1,3,4]=>000101=>6
[5,2,6,7,1,4,3]=>001101=>6
[5,2,6,7,3,1,4]=>010101=>2
[5,2,6,7,3,4,1]=>001101=>6
[5,2,6,7,4,1,3]=>001101=>6
[5,2,6,7,4,3,1]=>011101=>6
[5,2,7,1,3,4,6]=>000101=>6
[5,2,7,1,3,6,4]=>000111=>6
[5,2,7,1,4,3,6]=>001101=>6
[5,2,7,1,4,6,3]=>000111=>6
[5,2,7,1,6,3,4]=>000111=>6
[5,2,7,1,6,4,3]=>001111=>6
[5,2,7,3,1,4,6]=>010101=>2
[5,2,7,3,1,6,4]=>010111=>6
[5,2,7,3,4,1,6]=>001101=>6
[5,2,7,3,4,6,1]=>000111=>6
[5,2,7,3,6,1,4]=>000111=>6
[5,2,7,3,6,4,1]=>001111=>6
[5,2,7,4,1,3,6]=>001101=>6
[5,2,7,4,1,6,3]=>001111=>6
[5,2,7,4,3,1,6]=>011101=>6
[5,2,7,4,3,6,1]=>001111=>6
[5,2,7,4,6,1,3]=>000111=>6
[5,2,7,4,6,3,1]=>010111=>6
[5,2,7,6,1,3,4]=>000111=>6
[5,2,7,6,1,4,3]=>001111=>6
[5,2,7,6,3,1,4]=>010111=>6
[5,2,7,6,3,4,1]=>001111=>6
[5,2,7,6,4,1,3]=>001111=>6
[5,2,7,6,4,3,1]=>011111=>6
[5,3,1,2,4,6,7]=>010100=>6
[5,3,1,2,4,7,6]=>010101=>2
[5,3,1,2,6,4,7]=>010110=>6
[5,3,1,2,6,7,4]=>010101=>2
[5,3,1,2,7,4,6]=>010101=>2
[5,3,1,2,7,6,4]=>010111=>6
[5,3,1,4,2,6,7]=>011100=>6
[5,3,1,4,2,7,6]=>011101=>6
[5,3,1,4,6,2,7]=>010110=>6
[5,3,1,4,6,7,2]=>010101=>2
[5,3,1,4,7,2,6]=>010101=>2
[5,3,1,4,7,6,2]=>010111=>6
[5,3,1,6,2,4,7]=>010110=>6
[5,3,1,6,2,7,4]=>010111=>6
[5,3,1,6,4,2,7]=>011110=>6
[5,3,1,6,4,7,2]=>010111=>6
[5,3,1,6,7,2,4]=>010101=>2
[5,3,1,6,7,4,2]=>011101=>6
[5,3,1,7,2,4,6]=>010101=>2
[5,3,1,7,2,6,4]=>010111=>6
[5,3,1,7,4,2,6]=>011101=>6
[5,3,1,7,4,6,2]=>010111=>6
[5,3,1,7,6,2,4]=>010111=>6
[5,3,1,7,6,4,2]=>011111=>6
[5,3,2,1,4,6,7]=>110100=>6
[5,3,2,1,4,7,6]=>110101=>6
[5,3,2,1,6,4,7]=>110110=>3
[5,3,2,1,6,7,4]=>110101=>6
[5,3,2,1,7,4,6]=>110101=>6
[5,3,2,1,7,6,4]=>110111=>6
[5,3,2,4,1,6,7]=>011100=>6
[5,3,2,4,1,7,6]=>011101=>6
[5,3,2,4,6,1,7]=>010110=>6
[5,3,2,4,6,7,1]=>010101=>2
[5,3,2,4,7,1,6]=>010101=>2
[5,3,2,4,7,6,1]=>010111=>6
[5,3,2,6,1,4,7]=>010110=>6
[5,3,2,6,1,7,4]=>010111=>6
[5,3,2,6,4,1,7]=>011110=>6
[5,3,2,6,4,7,1]=>010111=>6
[5,3,2,6,7,1,4]=>010101=>2
[5,3,2,6,7,4,1]=>011101=>6
[5,3,2,7,1,4,6]=>010101=>2
[5,3,2,7,1,6,4]=>010111=>6
[5,3,2,7,4,1,6]=>011101=>6
[5,3,2,7,4,6,1]=>010111=>6
[5,3,2,7,6,1,4]=>010111=>6
[5,3,2,7,6,4,1]=>011111=>6
[5,3,4,1,2,6,7]=>001100=>6
[5,3,4,1,2,7,6]=>001101=>6
[5,3,4,1,6,2,7]=>001110=>6
[5,3,4,1,6,7,2]=>001101=>6
[5,3,4,1,7,2,6]=>001101=>6
[5,3,4,1,7,6,2]=>001111=>6
[5,3,4,2,1,6,7]=>101100=>6
[5,3,4,2,1,7,6]=>101101=>3
[5,3,4,2,6,1,7]=>001110=>6
[5,3,4,2,6,7,1]=>001101=>6
[5,3,4,2,7,1,6]=>001101=>6
[5,3,4,2,7,6,1]=>001111=>6
[5,3,4,6,1,2,7]=>000110=>6
[5,3,4,6,1,7,2]=>000111=>6
[5,3,4,6,2,1,7]=>100110=>6
[5,3,4,6,2,7,1]=>000111=>6
[5,3,4,6,7,1,2]=>000101=>6
[5,3,4,6,7,2,1]=>100101=>6
[5,3,4,7,1,2,6]=>000101=>6
[5,3,4,7,1,6,2]=>000111=>6
[5,3,4,7,2,1,6]=>100101=>6
[5,3,4,7,2,6,1]=>000111=>6
[5,3,4,7,6,1,2]=>000111=>6
[5,3,4,7,6,2,1]=>100111=>6
[5,3,6,1,2,4,7]=>000110=>6
[5,3,6,1,2,7,4]=>000111=>6
[5,3,6,1,4,2,7]=>001110=>6
[5,3,6,1,4,7,2]=>000111=>6
[5,3,6,1,7,2,4]=>000111=>6
[5,3,6,1,7,4,2]=>001111=>6
[5,3,6,2,1,4,7]=>100110=>6
[5,3,6,2,1,7,4]=>100111=>6
[5,3,6,2,4,1,7]=>001110=>6
[5,3,6,2,4,7,1]=>000111=>6
[5,3,6,2,7,1,4]=>000111=>6
[5,3,6,2,7,4,1]=>001111=>6
[5,3,6,4,1,2,7]=>001110=>6
[5,3,6,4,1,7,2]=>001111=>6
[5,3,6,4,2,1,7]=>101110=>6
[5,3,6,4,2,7,1]=>001111=>6
[5,3,6,4,7,1,2]=>000111=>6
[5,3,6,4,7,2,1]=>100111=>6
[5,3,6,7,1,2,4]=>000101=>6
[5,3,6,7,1,4,2]=>001101=>6
[5,3,6,7,2,1,4]=>100101=>6
[5,3,6,7,2,4,1]=>001101=>6
[5,3,6,7,4,1,2]=>001101=>6
[5,3,6,7,4,2,1]=>101101=>3
[5,3,7,1,2,4,6]=>000101=>6
[5,3,7,1,2,6,4]=>000111=>6
[5,3,7,1,4,2,6]=>001101=>6
[5,3,7,1,4,6,2]=>000111=>6
[5,3,7,1,6,2,4]=>000111=>6
[5,3,7,1,6,4,2]=>001111=>6
[5,3,7,2,1,4,6]=>100101=>6
[5,3,7,2,1,6,4]=>100111=>6
[5,3,7,2,4,1,6]=>001101=>6
[5,3,7,2,4,6,1]=>000111=>6
[5,3,7,2,6,1,4]=>000111=>6
[5,3,7,2,6,4,1]=>001111=>6
[5,3,7,4,1,2,6]=>001101=>6
[5,3,7,4,1,6,2]=>001111=>6
[5,3,7,4,2,1,6]=>101101=>3
[5,3,7,4,2,6,1]=>001111=>6
[5,3,7,4,6,1,2]=>000111=>6
[5,3,7,4,6,2,1]=>100111=>6
[5,3,7,6,1,2,4]=>000111=>6
[5,3,7,6,1,4,2]=>001111=>6
[5,3,7,6,2,1,4]=>100111=>6
[5,3,7,6,2,4,1]=>001111=>6
[5,3,7,6,4,1,2]=>001111=>6
[5,3,7,6,4,2,1]=>101111=>6
[5,4,1,2,3,6,7]=>001100=>6
[5,4,1,2,3,7,6]=>001101=>6
[5,4,1,2,6,3,7]=>001110=>6
[5,4,1,2,6,7,3]=>001101=>6
[5,4,1,2,7,3,6]=>001101=>6
[5,4,1,2,7,6,3]=>001111=>6
[5,4,1,3,2,6,7]=>011100=>6
[5,4,1,3,2,7,6]=>011101=>6
[5,4,1,3,6,2,7]=>001110=>6
[5,4,1,3,6,7,2]=>001101=>6
[5,4,1,3,7,2,6]=>001101=>6
[5,4,1,3,7,6,2]=>001111=>6
[5,4,1,6,2,3,7]=>001110=>6
[5,4,1,6,2,7,3]=>001111=>6
[5,4,1,6,3,2,7]=>011110=>6
[5,4,1,6,3,7,2]=>001111=>6
[5,4,1,6,7,2,3]=>001101=>6
[5,4,1,6,7,3,2]=>011101=>6
[5,4,1,7,2,3,6]=>001101=>6
[5,4,1,7,2,6,3]=>001111=>6
[5,4,1,7,3,2,6]=>011101=>6
[5,4,1,7,3,6,2]=>001111=>6
[5,4,1,7,6,2,3]=>001111=>6
[5,4,1,7,6,3,2]=>011111=>6
[5,4,2,1,3,6,7]=>101100=>6
[5,4,2,1,3,7,6]=>101101=>3
[5,4,2,1,6,3,7]=>101110=>6
[5,4,2,1,6,7,3]=>101101=>3
[5,4,2,1,7,3,6]=>101101=>3
[5,4,2,1,7,6,3]=>101111=>6
[5,4,2,3,1,6,7]=>011100=>6
[5,4,2,3,1,7,6]=>011101=>6
[5,4,2,3,6,1,7]=>001110=>6
[5,4,2,3,6,7,1]=>001101=>6
[5,4,2,3,7,1,6]=>001101=>6
[5,4,2,3,7,6,1]=>001111=>6
[5,4,2,6,1,3,7]=>001110=>6
[5,4,2,6,1,7,3]=>001111=>6
[5,4,2,6,3,1,7]=>011110=>6
[5,4,2,6,3,7,1]=>001111=>6
[5,4,2,6,7,1,3]=>001101=>6
[5,4,2,6,7,3,1]=>011101=>6
[5,4,2,7,1,3,6]=>001101=>6
[5,4,2,7,1,6,3]=>001111=>6
[5,4,2,7,3,1,6]=>011101=>6
[5,4,2,7,3,6,1]=>001111=>6
[5,4,2,7,6,1,3]=>001111=>6
[5,4,2,7,6,3,1]=>011111=>6
[5,4,3,1,2,6,7]=>011100=>6
[5,4,3,1,2,7,6]=>011101=>6
[5,4,3,1,6,2,7]=>011110=>6
[5,4,3,1,6,7,2]=>011101=>6
[5,4,3,1,7,2,6]=>011101=>6
[5,4,3,1,7,6,2]=>011111=>6
[5,4,3,2,1,6,7]=>111100=>6
[5,4,3,2,1,7,6]=>111101=>6
[5,4,3,2,6,1,7]=>011110=>6
[5,4,3,2,6,7,1]=>011101=>6
[5,4,3,2,7,1,6]=>011101=>6
[5,4,3,2,7,6,1]=>011111=>6
[5,4,3,6,1,2,7]=>001110=>6
[5,4,3,6,1,7,2]=>001111=>6
[5,4,3,6,2,1,7]=>101110=>6
[5,4,3,6,2,7,1]=>001111=>6
[5,4,3,6,7,1,2]=>001101=>6
[5,4,3,6,7,2,1]=>101101=>3
[5,4,3,7,1,2,6]=>001101=>6
[5,4,3,7,1,6,2]=>001111=>6
[5,4,3,7,2,1,6]=>101101=>3
[5,4,3,7,2,6,1]=>001111=>6
[5,4,3,7,6,1,2]=>001111=>6
[5,4,3,7,6,2,1]=>101111=>6
[5,4,6,1,2,3,7]=>000110=>6
[5,4,6,1,2,7,3]=>000111=>6
[5,4,6,1,3,2,7]=>010110=>6
[5,4,6,1,3,7,2]=>000111=>6
[5,4,6,1,7,2,3]=>000111=>6
[5,4,6,1,7,3,2]=>010111=>6
[5,4,6,2,1,3,7]=>100110=>6
[5,4,6,2,1,7,3]=>100111=>6
[5,4,6,2,3,1,7]=>010110=>6
[5,4,6,2,3,7,1]=>000111=>6
[5,4,6,2,7,1,3]=>000111=>6
[5,4,6,2,7,3,1]=>010111=>6
[5,4,6,3,1,2,7]=>010110=>6
[5,4,6,3,1,7,2]=>010111=>6
[5,4,6,3,2,1,7]=>110110=>3
[5,4,6,3,2,7,1]=>010111=>6
[5,4,6,3,7,1,2]=>000111=>6
[5,4,6,3,7,2,1]=>100111=>6
[5,4,6,7,1,2,3]=>000101=>6
[5,4,6,7,1,3,2]=>010101=>2
[5,4,6,7,2,1,3]=>100101=>6
[5,4,6,7,2,3,1]=>010101=>2
[5,4,6,7,3,1,2]=>010101=>2
[5,4,6,7,3,2,1]=>110101=>6
[5,4,7,1,2,3,6]=>000101=>6
[5,4,7,1,2,6,3]=>000111=>6
[5,4,7,1,3,2,6]=>010101=>2
[5,4,7,1,3,6,2]=>000111=>6
[5,4,7,1,6,2,3]=>000111=>6
[5,4,7,1,6,3,2]=>010111=>6
[5,4,7,2,1,3,6]=>100101=>6
[5,4,7,2,1,6,3]=>100111=>6
[5,4,7,2,3,1,6]=>010101=>2
[5,4,7,2,3,6,1]=>000111=>6
[5,4,7,2,6,1,3]=>000111=>6
[5,4,7,2,6,3,1]=>010111=>6
[5,4,7,3,1,2,6]=>010101=>2
[5,4,7,3,1,6,2]=>010111=>6
[5,4,7,3,2,1,6]=>110101=>6
[5,4,7,3,2,6,1]=>010111=>6
[5,4,7,3,6,1,2]=>000111=>6
[5,4,7,3,6,2,1]=>100111=>6
[5,4,7,6,1,2,3]=>000111=>6
[5,4,7,6,1,3,2]=>010111=>6
[5,4,7,6,2,1,3]=>100111=>6
[5,4,7,6,2,3,1]=>010111=>6
[5,4,7,6,3,1,2]=>010111=>6
[5,4,7,6,3,2,1]=>110111=>6
[5,6,1,2,3,4,7]=>000010=>6
[5,6,1,2,3,7,4]=>000011=>6
[5,6,1,2,4,3,7]=>001010=>6
[5,6,1,2,4,7,3]=>000011=>6
[5,6,1,2,7,3,4]=>000011=>6
[5,6,1,2,7,4,3]=>001011=>6
[5,6,1,3,2,4,7]=>010010=>3
[5,6,1,3,2,7,4]=>010011=>6
[5,6,1,3,4,2,7]=>001010=>6
[5,6,1,3,4,7,2]=>000011=>6
[5,6,1,3,7,2,4]=>000011=>6
[5,6,1,3,7,4,2]=>001011=>6
[5,6,1,4,2,3,7]=>001010=>6
[5,6,1,4,2,7,3]=>001011=>6
[5,6,1,4,3,2,7]=>011010=>6
[5,6,1,4,3,7,2]=>001011=>6
[5,6,1,4,7,2,3]=>000011=>6
[5,6,1,4,7,3,2]=>010011=>6
[5,6,1,7,2,3,4]=>000011=>6
[5,6,1,7,2,4,3]=>001011=>6
[5,6,1,7,3,2,4]=>010011=>6
[5,6,1,7,3,4,2]=>001011=>6
[5,6,1,7,4,2,3]=>001011=>6
[5,6,1,7,4,3,2]=>011011=>3
[5,6,2,1,3,4,7]=>100010=>6
[5,6,2,1,3,7,4]=>100011=>6
[5,6,2,1,4,3,7]=>101010=>2
[5,6,2,1,4,7,3]=>100011=>6
[5,6,2,1,7,3,4]=>100011=>6
[5,6,2,1,7,4,3]=>101011=>6
[5,6,2,3,1,4,7]=>010010=>3
[5,6,2,3,1,7,4]=>010011=>6
[5,6,2,3,4,1,7]=>001010=>6
[5,6,2,3,4,7,1]=>000011=>6
[5,6,2,3,7,1,4]=>000011=>6
[5,6,2,3,7,4,1]=>001011=>6
[5,6,2,4,1,3,7]=>001010=>6
[5,6,2,4,1,7,3]=>001011=>6
[5,6,2,4,3,1,7]=>011010=>6
[5,6,2,4,3,7,1]=>001011=>6
[5,6,2,4,7,1,3]=>000011=>6
[5,6,2,4,7,3,1]=>010011=>6
[5,6,2,7,1,3,4]=>000011=>6
[5,6,2,7,1,4,3]=>001011=>6
[5,6,2,7,3,1,4]=>010011=>6
[5,6,2,7,3,4,1]=>001011=>6
[5,6,2,7,4,1,3]=>001011=>6
[5,6,2,7,4,3,1]=>011011=>3
[5,6,3,1,2,4,7]=>010010=>3
[5,6,3,1,2,7,4]=>010011=>6
[5,6,3,1,4,2,7]=>011010=>6
[5,6,3,1,4,7,2]=>010011=>6
[5,6,3,1,7,2,4]=>010011=>6
[5,6,3,1,7,4,2]=>011011=>3
[5,6,3,2,1,4,7]=>110010=>6
[5,6,3,2,1,7,4]=>110011=>6
[5,6,3,2,4,1,7]=>011010=>6
[5,6,3,2,4,7,1]=>010011=>6
[5,6,3,2,7,1,4]=>010011=>6
[5,6,3,2,7,4,1]=>011011=>3
[5,6,3,4,1,2,7]=>001010=>6
[5,6,3,4,1,7,2]=>001011=>6
[5,6,3,4,2,1,7]=>101010=>2
[5,6,3,4,2,7,1]=>001011=>6
[5,6,3,4,7,1,2]=>000011=>6
[5,6,3,4,7,2,1]=>100011=>6
[5,6,3,7,1,2,4]=>000011=>6
[5,6,3,7,1,4,2]=>001011=>6
[5,6,3,7,2,1,4]=>100011=>6
[5,6,3,7,2,4,1]=>001011=>6
[5,6,3,7,4,1,2]=>001011=>6
[5,6,3,7,4,2,1]=>101011=>6
[5,6,4,1,2,3,7]=>001010=>6
[5,6,4,1,2,7,3]=>001011=>6
[5,6,4,1,3,2,7]=>011010=>6
[5,6,4,1,3,7,2]=>001011=>6
[5,6,4,1,7,2,3]=>001011=>6
[5,6,4,1,7,3,2]=>011011=>3
[5,6,4,2,1,3,7]=>101010=>2
[5,6,4,2,1,7,3]=>101011=>6
[5,6,4,2,3,1,7]=>011010=>6
[5,6,4,2,3,7,1]=>001011=>6
[5,6,4,2,7,1,3]=>001011=>6
[5,6,4,2,7,3,1]=>011011=>3
[5,6,4,3,1,2,7]=>011010=>6
[5,6,4,3,1,7,2]=>011011=>3
[5,6,4,3,2,1,7]=>111010=>6
[5,6,4,3,2,7,1]=>011011=>3
[5,6,4,3,7,1,2]=>001011=>6
[5,6,4,3,7,2,1]=>101011=>6
[5,6,4,7,1,2,3]=>000011=>6
[5,6,4,7,1,3,2]=>010011=>6
[5,6,4,7,2,1,3]=>100011=>6
[5,6,4,7,2,3,1]=>010011=>6
[5,6,4,7,3,1,2]=>010011=>6
[5,6,4,7,3,2,1]=>110011=>6
[5,6,7,1,2,3,4]=>000001=>6
[5,6,7,1,2,4,3]=>001001=>3
[5,6,7,1,3,2,4]=>010001=>6
[5,6,7,1,3,4,2]=>001001=>3
[5,6,7,1,4,2,3]=>001001=>3
[5,6,7,1,4,3,2]=>011001=>6
[5,6,7,2,1,3,4]=>100001=>6
[5,6,7,2,1,4,3]=>101001=>6
[5,6,7,2,3,1,4]=>010001=>6
[5,6,7,2,3,4,1]=>001001=>3
[5,6,7,2,4,1,3]=>001001=>3
[5,6,7,2,4,3,1]=>011001=>6
[5,6,7,3,1,2,4]=>010001=>6
[5,6,7,3,1,4,2]=>011001=>6
[5,6,7,3,2,1,4]=>110001=>6
[5,6,7,3,2,4,1]=>011001=>6
[5,6,7,3,4,1,2]=>001001=>3
[5,6,7,3,4,2,1]=>101001=>6
[5,6,7,4,1,2,3]=>001001=>3
[5,6,7,4,1,3,2]=>011001=>6
[5,6,7,4,2,1,3]=>101001=>6
[5,6,7,4,2,3,1]=>011001=>6
[5,6,7,4,3,1,2]=>011001=>6
[5,6,7,4,3,2,1]=>111001=>6
[5,7,1,2,3,4,6]=>000001=>6
[5,7,1,2,3,6,4]=>000011=>6
[5,7,1,2,4,3,6]=>001001=>3
[5,7,1,2,4,6,3]=>000011=>6
[5,7,1,2,6,3,4]=>000011=>6
[5,7,1,2,6,4,3]=>001011=>6
[5,7,1,3,2,4,6]=>010001=>6
[5,7,1,3,2,6,4]=>010011=>6
[5,7,1,3,4,2,6]=>001001=>3
[5,7,1,3,4,6,2]=>000011=>6
[5,7,1,3,6,2,4]=>000011=>6
[5,7,1,3,6,4,2]=>001011=>6
[5,7,1,4,2,3,6]=>001001=>3
[5,7,1,4,2,6,3]=>001011=>6
[5,7,1,4,3,2,6]=>011001=>6
[5,7,1,4,3,6,2]=>001011=>6
[5,7,1,4,6,2,3]=>000011=>6
[5,7,1,4,6,3,2]=>010011=>6
[5,7,1,6,2,3,4]=>000011=>6
[5,7,1,6,2,4,3]=>001011=>6
[5,7,1,6,3,2,4]=>010011=>6
[5,7,1,6,3,4,2]=>001011=>6
[5,7,1,6,4,2,3]=>001011=>6
[5,7,1,6,4,3,2]=>011011=>3
[5,7,2,1,3,4,6]=>100001=>6
[5,7,2,1,3,6,4]=>100011=>6
[5,7,2,1,4,3,6]=>101001=>6
[5,7,2,1,4,6,3]=>100011=>6
[5,7,2,1,6,3,4]=>100011=>6
[5,7,2,1,6,4,3]=>101011=>6
[5,7,2,3,1,4,6]=>010001=>6
[5,7,2,3,1,6,4]=>010011=>6
[5,7,2,3,4,1,6]=>001001=>3
[5,7,2,3,4,6,1]=>000011=>6
[5,7,2,3,6,1,4]=>000011=>6
[5,7,2,3,6,4,1]=>001011=>6
[5,7,2,4,1,3,6]=>001001=>3
[5,7,2,4,1,6,3]=>001011=>6
[5,7,2,4,3,1,6]=>011001=>6
[5,7,2,4,3,6,1]=>001011=>6
[5,7,2,4,6,1,3]=>000011=>6
[5,7,2,4,6,3,1]=>010011=>6
[5,7,2,6,1,3,4]=>000011=>6
[5,7,2,6,1,4,3]=>001011=>6
[5,7,2,6,3,1,4]=>010011=>6
[5,7,2,6,3,4,1]=>001011=>6
[5,7,2,6,4,1,3]=>001011=>6
[5,7,2,6,4,3,1]=>011011=>3
[5,7,3,1,2,4,6]=>010001=>6
[5,7,3,1,2,6,4]=>010011=>6
[5,7,3,1,4,2,6]=>011001=>6
[5,7,3,1,4,6,2]=>010011=>6
[5,7,3,1,6,2,4]=>010011=>6
[5,7,3,1,6,4,2]=>011011=>3
[5,7,3,2,1,4,6]=>110001=>6
[5,7,3,2,1,6,4]=>110011=>6
[5,7,3,2,4,1,6]=>011001=>6
[5,7,3,2,4,6,1]=>010011=>6
[5,7,3,2,6,1,4]=>010011=>6
[5,7,3,2,6,4,1]=>011011=>3
[5,7,3,4,1,2,6]=>001001=>3
[5,7,3,4,1,6,2]=>001011=>6
[5,7,3,4,2,1,6]=>101001=>6
[5,7,3,4,2,6,1]=>001011=>6
[5,7,3,4,6,1,2]=>000011=>6
[5,7,3,4,6,2,1]=>100011=>6
[5,7,3,6,1,2,4]=>000011=>6
[5,7,3,6,1,4,2]=>001011=>6
[5,7,3,6,2,1,4]=>100011=>6
[5,7,3,6,2,4,1]=>001011=>6
[5,7,3,6,4,1,2]=>001011=>6
[5,7,3,6,4,2,1]=>101011=>6
[5,7,4,1,2,3,6]=>001001=>3
[5,7,4,1,2,6,3]=>001011=>6
[5,7,4,1,3,2,6]=>011001=>6
[5,7,4,1,3,6,2]=>001011=>6
[5,7,4,1,6,2,3]=>001011=>6
[5,7,4,1,6,3,2]=>011011=>3
[5,7,4,2,1,3,6]=>101001=>6
[5,7,4,2,1,6,3]=>101011=>6
[5,7,4,2,3,1,6]=>011001=>6
[5,7,4,2,3,6,1]=>001011=>6
[5,7,4,2,6,1,3]=>001011=>6
[5,7,4,2,6,3,1]=>011011=>3
[5,7,4,3,1,2,6]=>011001=>6
[5,7,4,3,1,6,2]=>011011=>3
[5,7,4,3,2,1,6]=>111001=>6
[5,7,4,3,2,6,1]=>011011=>3
[5,7,4,3,6,1,2]=>001011=>6
[5,7,4,3,6,2,1]=>101011=>6
[5,7,4,6,1,2,3]=>000011=>6
[5,7,4,6,1,3,2]=>010011=>6
[5,7,4,6,2,1,3]=>100011=>6
[5,7,4,6,2,3,1]=>010011=>6
[5,7,4,6,3,1,2]=>010011=>6
[5,7,4,6,3,2,1]=>110011=>6
[5,7,6,1,2,3,4]=>000011=>6
[5,7,6,1,2,4,3]=>001011=>6
[5,7,6,1,3,2,4]=>010011=>6
[5,7,6,1,3,4,2]=>001011=>6
[5,7,6,1,4,2,3]=>001011=>6
[5,7,6,1,4,3,2]=>011011=>3
[5,7,6,2,1,3,4]=>100011=>6
[5,7,6,2,1,4,3]=>101011=>6
[5,7,6,2,3,1,4]=>010011=>6
[5,7,6,2,3,4,1]=>001011=>6
[5,7,6,2,4,1,3]=>001011=>6
[5,7,6,2,4,3,1]=>011011=>3
[5,7,6,3,1,2,4]=>010011=>6
[5,7,6,3,1,4,2]=>011011=>3
[5,7,6,3,2,1,4]=>110011=>6
[5,7,6,3,2,4,1]=>011011=>3
[5,7,6,3,4,1,2]=>001011=>6
[5,7,6,3,4,2,1]=>101011=>6
[5,7,6,4,1,2,3]=>001011=>6
[5,7,6,4,1,3,2]=>011011=>3
[5,7,6,4,2,1,3]=>101011=>6
[5,7,6,4,2,3,1]=>011011=>3
[5,7,6,4,3,1,2]=>011011=>3
[5,7,6,4,3,2,1]=>111011=>6
[6,1,2,3,4,5,7]=>000010=>6
[6,1,2,3,4,7,5]=>000011=>6
[6,1,2,3,5,4,7]=>000110=>6
[6,1,2,3,5,7,4]=>000011=>6
[6,1,2,3,7,4,5]=>000011=>6
[6,1,2,3,7,5,4]=>000111=>6
[6,1,2,4,3,5,7]=>001010=>6
[6,1,2,4,3,7,5]=>001011=>6
[6,1,2,4,5,3,7]=>000110=>6
[6,1,2,4,5,7,3]=>000011=>6
[6,1,2,4,7,3,5]=>000011=>6
[6,1,2,4,7,5,3]=>000111=>6
[6,1,2,5,3,4,7]=>000110=>6
[6,1,2,5,3,7,4]=>000111=>6
[6,1,2,5,4,3,7]=>001110=>6
[6,1,2,5,4,7,3]=>000111=>6
[6,1,2,5,7,3,4]=>000011=>6
[6,1,2,5,7,4,3]=>001011=>6
[6,1,2,7,3,4,5]=>000011=>6
[6,1,2,7,3,5,4]=>000111=>6
[6,1,2,7,4,3,5]=>001011=>6
[6,1,2,7,4,5,3]=>000111=>6
[6,1,2,7,5,3,4]=>000111=>6
[6,1,2,7,5,4,3]=>001111=>6
[6,1,3,2,4,5,7]=>010010=>3
[6,1,3,2,4,7,5]=>010011=>6
[6,1,3,2,5,4,7]=>010110=>6
[6,1,3,2,5,7,4]=>010011=>6
[6,1,3,2,7,4,5]=>010011=>6
[6,1,3,2,7,5,4]=>010111=>6
[6,1,3,4,2,5,7]=>001010=>6
[6,1,3,4,2,7,5]=>001011=>6
[6,1,3,4,5,2,7]=>000110=>6
[6,1,3,4,5,7,2]=>000011=>6
[6,1,3,4,7,2,5]=>000011=>6
[6,1,3,4,7,5,2]=>000111=>6
[6,1,3,5,2,4,7]=>000110=>6
[6,1,3,5,2,7,4]=>000111=>6
[6,1,3,5,4,2,7]=>001110=>6
[6,1,3,5,4,7,2]=>000111=>6
[6,1,3,5,7,2,4]=>000011=>6
[6,1,3,5,7,4,2]=>001011=>6
[6,1,3,7,2,4,5]=>000011=>6
[6,1,3,7,2,5,4]=>000111=>6
[6,1,3,7,4,2,5]=>001011=>6
[6,1,3,7,4,5,2]=>000111=>6
[6,1,3,7,5,2,4]=>000111=>6
[6,1,3,7,5,4,2]=>001111=>6
[6,1,4,2,3,5,7]=>001010=>6
[6,1,4,2,3,7,5]=>001011=>6
[6,1,4,2,5,3,7]=>001110=>6
[6,1,4,2,5,7,3]=>001011=>6
[6,1,4,2,7,3,5]=>001011=>6
[6,1,4,2,7,5,3]=>001111=>6
[6,1,4,3,2,5,7]=>011010=>6
[6,1,4,3,2,7,5]=>011011=>3
[6,1,4,3,5,2,7]=>001110=>6
[6,1,4,3,5,7,2]=>001011=>6
[6,1,4,3,7,2,5]=>001011=>6
[6,1,4,3,7,5,2]=>001111=>6
[6,1,4,5,2,3,7]=>000110=>6
[6,1,4,5,2,7,3]=>000111=>6
[6,1,4,5,3,2,7]=>010110=>6
[6,1,4,5,3,7,2]=>000111=>6
[6,1,4,5,7,2,3]=>000011=>6
[6,1,4,5,7,3,2]=>010011=>6
[6,1,4,7,2,3,5]=>000011=>6
[6,1,4,7,2,5,3]=>000111=>6
[6,1,4,7,3,2,5]=>010011=>6
[6,1,4,7,3,5,2]=>000111=>6
[6,1,4,7,5,2,3]=>000111=>6
[6,1,4,7,5,3,2]=>010111=>6
[6,1,5,2,3,4,7]=>000110=>6
[6,1,5,2,3,7,4]=>000111=>6
[6,1,5,2,4,3,7]=>001110=>6
[6,1,5,2,4,7,3]=>000111=>6
[6,1,5,2,7,3,4]=>000111=>6
[6,1,5,2,7,4,3]=>001111=>6
[6,1,5,3,2,4,7]=>010110=>6
[6,1,5,3,2,7,4]=>010111=>6
[6,1,5,3,4,2,7]=>001110=>6
[6,1,5,3,4,7,2]=>000111=>6
[6,1,5,3,7,2,4]=>000111=>6
[6,1,5,3,7,4,2]=>001111=>6
[6,1,5,4,2,3,7]=>001110=>6
[6,1,5,4,2,7,3]=>001111=>6
[6,1,5,4,3,2,7]=>011110=>6
[6,1,5,4,3,7,2]=>001111=>6
[6,1,5,4,7,2,3]=>000111=>6
[6,1,5,4,7,3,2]=>010111=>6
[6,1,5,7,2,3,4]=>000011=>6
[6,1,5,7,2,4,3]=>001011=>6
[6,1,5,7,3,2,4]=>010011=>6
[6,1,5,7,3,4,2]=>001011=>6
[6,1,5,7,4,2,3]=>001011=>6
[6,1,5,7,4,3,2]=>011011=>3
[6,1,7,2,3,4,5]=>000011=>6
[6,1,7,2,3,5,4]=>000111=>6
[6,1,7,2,4,3,5]=>001011=>6
[6,1,7,2,4,5,3]=>000111=>6
[6,1,7,2,5,3,4]=>000111=>6
[6,1,7,2,5,4,3]=>001111=>6
[6,1,7,3,2,4,5]=>010011=>6
[6,1,7,3,2,5,4]=>010111=>6
[6,1,7,3,4,2,5]=>001011=>6
[6,1,7,3,4,5,2]=>000111=>6
[6,1,7,3,5,2,4]=>000111=>6
[6,1,7,3,5,4,2]=>001111=>6
[6,1,7,4,2,3,5]=>001011=>6
[6,1,7,4,2,5,3]=>001111=>6
[6,1,7,4,3,2,5]=>011011=>3
[6,1,7,4,3,5,2]=>001111=>6
[6,1,7,4,5,2,3]=>000111=>6
[6,1,7,4,5,3,2]=>010111=>6
[6,1,7,5,2,3,4]=>000111=>6
[6,1,7,5,2,4,3]=>001111=>6
[6,1,7,5,3,2,4]=>010111=>6
[6,1,7,5,3,4,2]=>001111=>6
[6,1,7,5,4,2,3]=>001111=>6
[6,1,7,5,4,3,2]=>011111=>6
[6,2,1,3,4,5,7]=>100010=>6
[6,2,1,3,4,7,5]=>100011=>6
[6,2,1,3,5,4,7]=>100110=>6
[6,2,1,3,5,7,4]=>100011=>6
[6,2,1,3,7,4,5]=>100011=>6
[6,2,1,3,7,5,4]=>100111=>6
[6,2,1,4,3,5,7]=>101010=>2
[6,2,1,4,3,7,5]=>101011=>6
[6,2,1,4,5,3,7]=>100110=>6
[6,2,1,4,5,7,3]=>100011=>6
[6,2,1,4,7,3,5]=>100011=>6
[6,2,1,4,7,5,3]=>100111=>6
[6,2,1,5,3,4,7]=>100110=>6
[6,2,1,5,3,7,4]=>100111=>6
[6,2,1,5,4,3,7]=>101110=>6
[6,2,1,5,4,7,3]=>100111=>6
[6,2,1,5,7,3,4]=>100011=>6
[6,2,1,5,7,4,3]=>101011=>6
[6,2,1,7,3,4,5]=>100011=>6
[6,2,1,7,3,5,4]=>100111=>6
[6,2,1,7,4,3,5]=>101011=>6
[6,2,1,7,4,5,3]=>100111=>6
[6,2,1,7,5,3,4]=>100111=>6
[6,2,1,7,5,4,3]=>101111=>6
[6,2,3,1,4,5,7]=>010010=>3
[6,2,3,1,4,7,5]=>010011=>6
[6,2,3,1,5,4,7]=>010110=>6
[6,2,3,1,5,7,4]=>010011=>6
[6,2,3,1,7,4,5]=>010011=>6
[6,2,3,1,7,5,4]=>010111=>6
[6,2,3,4,1,5,7]=>001010=>6
[6,2,3,4,1,7,5]=>001011=>6
[6,2,3,4,5,1,7]=>000110=>6
[6,2,3,4,5,7,1]=>000011=>6
[6,2,3,4,7,1,5]=>000011=>6
[6,2,3,4,7,5,1]=>000111=>6
[6,2,3,5,1,4,7]=>000110=>6
[6,2,3,5,1,7,4]=>000111=>6
[6,2,3,5,4,1,7]=>001110=>6
[6,2,3,5,4,7,1]=>000111=>6
[6,2,3,5,7,1,4]=>000011=>6
[6,2,3,5,7,4,1]=>001011=>6
[6,2,3,7,1,4,5]=>000011=>6
[6,2,3,7,1,5,4]=>000111=>6
[6,2,3,7,4,1,5]=>001011=>6
[6,2,3,7,4,5,1]=>000111=>6
[6,2,3,7,5,1,4]=>000111=>6
[6,2,3,7,5,4,1]=>001111=>6
[6,2,4,1,3,5,7]=>001010=>6
[6,2,4,1,3,7,5]=>001011=>6
[6,2,4,1,5,3,7]=>001110=>6
[6,2,4,1,5,7,3]=>001011=>6
[6,2,4,1,7,3,5]=>001011=>6
[6,2,4,1,7,5,3]=>001111=>6
[6,2,4,3,1,5,7]=>011010=>6
[6,2,4,3,1,7,5]=>011011=>3
[6,2,4,3,5,1,7]=>001110=>6
[6,2,4,3,5,7,1]=>001011=>6
[6,2,4,3,7,1,5]=>001011=>6
[6,2,4,3,7,5,1]=>001111=>6
[6,2,4,5,1,3,7]=>000110=>6
[6,2,4,5,1,7,3]=>000111=>6
[6,2,4,5,3,1,7]=>010110=>6
[6,2,4,5,3,7,1]=>000111=>6
[6,2,4,5,7,1,3]=>000011=>6
[6,2,4,5,7,3,1]=>010011=>6
[6,2,4,7,1,3,5]=>000011=>6
[6,2,4,7,1,5,3]=>000111=>6
[6,2,4,7,3,1,5]=>010011=>6
[6,2,4,7,3,5,1]=>000111=>6
[6,2,4,7,5,1,3]=>000111=>6
[6,2,4,7,5,3,1]=>010111=>6
[6,2,5,1,3,4,7]=>000110=>6
[6,2,5,1,3,7,4]=>000111=>6
[6,2,5,1,4,3,7]=>001110=>6
[6,2,5,1,4,7,3]=>000111=>6
[6,2,5,1,7,3,4]=>000111=>6
[6,2,5,1,7,4,3]=>001111=>6
[6,2,5,3,1,4,7]=>010110=>6
[6,2,5,3,1,7,4]=>010111=>6
[6,2,5,3,4,1,7]=>001110=>6
[6,2,5,3,4,7,1]=>000111=>6
[6,2,5,3,7,1,4]=>000111=>6
[6,2,5,3,7,4,1]=>001111=>6
[6,2,5,4,1,3,7]=>001110=>6
[6,2,5,4,1,7,3]=>001111=>6
[6,2,5,4,3,1,7]=>011110=>6
[6,2,5,4,3,7,1]=>001111=>6
[6,2,5,4,7,1,3]=>000111=>6
[6,2,5,4,7,3,1]=>010111=>6
[6,2,5,7,1,3,4]=>000011=>6
[6,2,5,7,1,4,3]=>001011=>6
[6,2,5,7,3,1,4]=>010011=>6
[6,2,5,7,3,4,1]=>001011=>6
[6,2,5,7,4,1,3]=>001011=>6
[6,2,5,7,4,3,1]=>011011=>3
[6,2,7,1,3,4,5]=>000011=>6
[6,2,7,1,3,5,4]=>000111=>6
[6,2,7,1,4,3,5]=>001011=>6
[6,2,7,1,4,5,3]=>000111=>6
[6,2,7,1,5,3,4]=>000111=>6
[6,2,7,1,5,4,3]=>001111=>6
[6,2,7,3,1,4,5]=>010011=>6
[6,2,7,3,1,5,4]=>010111=>6
[6,2,7,3,4,1,5]=>001011=>6
[6,2,7,3,4,5,1]=>000111=>6
[6,2,7,3,5,1,4]=>000111=>6
[6,2,7,3,5,4,1]=>001111=>6
[6,2,7,4,1,3,5]=>001011=>6
[6,2,7,4,1,5,3]=>001111=>6
[6,2,7,4,3,1,5]=>011011=>3
[6,2,7,4,3,5,1]=>001111=>6
[6,2,7,4,5,1,3]=>000111=>6
[6,2,7,4,5,3,1]=>010111=>6
[6,2,7,5,1,3,4]=>000111=>6
[6,2,7,5,1,4,3]=>001111=>6
[6,2,7,5,3,1,4]=>010111=>6
[6,2,7,5,3,4,1]=>001111=>6
[6,2,7,5,4,1,3]=>001111=>6
[6,2,7,5,4,3,1]=>011111=>6
[6,3,1,2,4,5,7]=>010010=>3
[6,3,1,2,4,7,5]=>010011=>6
[6,3,1,2,5,4,7]=>010110=>6
[6,3,1,2,5,7,4]=>010011=>6
[6,3,1,2,7,4,5]=>010011=>6
[6,3,1,2,7,5,4]=>010111=>6
[6,3,1,4,2,5,7]=>011010=>6
[6,3,1,4,2,7,5]=>011011=>3
[6,3,1,4,5,2,7]=>010110=>6
[6,3,1,4,5,7,2]=>010011=>6
[6,3,1,4,7,2,5]=>010011=>6
[6,3,1,4,7,5,2]=>010111=>6
[6,3,1,5,2,4,7]=>010110=>6
[6,3,1,5,2,7,4]=>010111=>6
[6,3,1,5,4,2,7]=>011110=>6
[6,3,1,5,4,7,2]=>010111=>6
[6,3,1,5,7,2,4]=>010011=>6
[6,3,1,5,7,4,2]=>011011=>3
[6,3,1,7,2,4,5]=>010011=>6
[6,3,1,7,2,5,4]=>010111=>6
[6,3,1,7,4,2,5]=>011011=>3
[6,3,1,7,4,5,2]=>010111=>6
[6,3,1,7,5,2,4]=>010111=>6
[6,3,1,7,5,4,2]=>011111=>6
[6,3,2,1,4,5,7]=>110010=>6
[6,3,2,1,4,7,5]=>110011=>6
[6,3,2,1,5,4,7]=>110110=>3
[6,3,2,1,5,7,4]=>110011=>6
[6,3,2,1,7,4,5]=>110011=>6
[6,3,2,1,7,5,4]=>110111=>6
[6,3,2,4,1,5,7]=>011010=>6
[6,3,2,4,1,7,5]=>011011=>3
[6,3,2,4,5,1,7]=>010110=>6
[6,3,2,4,5,7,1]=>010011=>6
[6,3,2,4,7,1,5]=>010011=>6
[6,3,2,4,7,5,1]=>010111=>6
[6,3,2,5,1,4,7]=>010110=>6
[6,3,2,5,1,7,4]=>010111=>6
[6,3,2,5,4,1,7]=>011110=>6
[6,3,2,5,4,7,1]=>010111=>6
[6,3,2,5,7,1,4]=>010011=>6
[6,3,2,5,7,4,1]=>011011=>3
[6,3,2,7,1,4,5]=>010011=>6
[6,3,2,7,1,5,4]=>010111=>6
[6,3,2,7,4,1,5]=>011011=>3
[6,3,2,7,4,5,1]=>010111=>6
[6,3,2,7,5,1,4]=>010111=>6
[6,3,2,7,5,4,1]=>011111=>6
[6,3,4,1,2,5,7]=>001010=>6
[6,3,4,1,2,7,5]=>001011=>6
[6,3,4,1,5,2,7]=>001110=>6
[6,3,4,1,5,7,2]=>001011=>6
[6,3,4,1,7,2,5]=>001011=>6
[6,3,4,1,7,5,2]=>001111=>6
[6,3,4,2,1,5,7]=>101010=>2
[6,3,4,2,1,7,5]=>101011=>6
[6,3,4,2,5,1,7]=>001110=>6
[6,3,4,2,5,7,1]=>001011=>6
[6,3,4,2,7,1,5]=>001011=>6
[6,3,4,2,7,5,1]=>001111=>6
[6,3,4,5,1,2,7]=>000110=>6
[6,3,4,5,1,7,2]=>000111=>6
[6,3,4,5,2,1,7]=>100110=>6
[6,3,4,5,2,7,1]=>000111=>6
[6,3,4,5,7,1,2]=>000011=>6
[6,3,4,5,7,2,1]=>100011=>6
[6,3,4,7,1,2,5]=>000011=>6
[6,3,4,7,1,5,2]=>000111=>6
[6,3,4,7,2,1,5]=>100011=>6
[6,3,4,7,2,5,1]=>000111=>6
[6,3,4,7,5,1,2]=>000111=>6
[6,3,4,7,5,2,1]=>100111=>6
[6,3,5,1,2,4,7]=>000110=>6
[6,3,5,1,2,7,4]=>000111=>6
[6,3,5,1,4,2,7]=>001110=>6
[6,3,5,1,4,7,2]=>000111=>6
[6,3,5,1,7,2,4]=>000111=>6
[6,3,5,1,7,4,2]=>001111=>6
[6,3,5,2,1,4,7]=>100110=>6
[6,3,5,2,1,7,4]=>100111=>6
[6,3,5,2,4,1,7]=>001110=>6
[6,3,5,2,4,7,1]=>000111=>6
[6,3,5,2,7,1,4]=>000111=>6
[6,3,5,2,7,4,1]=>001111=>6
[6,3,5,4,1,2,7]=>001110=>6
[6,3,5,4,1,7,2]=>001111=>6
[6,3,5,4,2,1,7]=>101110=>6
[6,3,5,4,2,7,1]=>001111=>6
[6,3,5,4,7,1,2]=>000111=>6
[6,3,5,4,7,2,1]=>100111=>6
[6,3,5,7,1,2,4]=>000011=>6
[6,3,5,7,1,4,2]=>001011=>6
[6,3,5,7,2,1,4]=>100011=>6
[6,3,5,7,2,4,1]=>001011=>6
[6,3,5,7,4,1,2]=>001011=>6
[6,3,5,7,4,2,1]=>101011=>6
[6,3,7,1,2,4,5]=>000011=>6
[6,3,7,1,2,5,4]=>000111=>6
[6,3,7,1,4,2,5]=>001011=>6
[6,3,7,1,4,5,2]=>000111=>6
[6,3,7,1,5,2,4]=>000111=>6
[6,3,7,1,5,4,2]=>001111=>6
[6,3,7,2,1,4,5]=>100011=>6
[6,3,7,2,1,5,4]=>100111=>6
[6,3,7,2,4,1,5]=>001011=>6
[6,3,7,2,4,5,1]=>000111=>6
[6,3,7,2,5,1,4]=>000111=>6
[6,3,7,2,5,4,1]=>001111=>6
[6,3,7,4,1,2,5]=>001011=>6
[6,3,7,4,1,5,2]=>001111=>6
[6,3,7,4,2,1,5]=>101011=>6
[6,3,7,4,2,5,1]=>001111=>6
[6,3,7,4,5,1,2]=>000111=>6
[6,3,7,4,5,2,1]=>100111=>6
[6,3,7,5,1,2,4]=>000111=>6
[6,3,7,5,1,4,2]=>001111=>6
[6,3,7,5,2,1,4]=>100111=>6
[6,3,7,5,2,4,1]=>001111=>6
[6,3,7,5,4,1,2]=>001111=>6
[6,3,7,5,4,2,1]=>101111=>6
[6,4,1,2,3,5,7]=>001010=>6
[6,4,1,2,3,7,5]=>001011=>6
[6,4,1,2,5,3,7]=>001110=>6
[6,4,1,2,5,7,3]=>001011=>6
[6,4,1,2,7,3,5]=>001011=>6
[6,4,1,2,7,5,3]=>001111=>6
[6,4,1,3,2,5,7]=>011010=>6
[6,4,1,3,2,7,5]=>011011=>3
[6,4,1,3,5,2,7]=>001110=>6
[6,4,1,3,5,7,2]=>001011=>6
[6,4,1,3,7,2,5]=>001011=>6
[6,4,1,3,7,5,2]=>001111=>6
[6,4,1,5,2,3,7]=>001110=>6
[6,4,1,5,2,7,3]=>001111=>6
[6,4,1,5,3,2,7]=>011110=>6
[6,4,1,5,3,7,2]=>001111=>6
[6,4,1,5,7,2,3]=>001011=>6
[6,4,1,5,7,3,2]=>011011=>3
[6,4,1,7,2,3,5]=>001011=>6
[6,4,1,7,2,5,3]=>001111=>6
[6,4,1,7,3,2,5]=>011011=>3
[6,4,1,7,3,5,2]=>001111=>6
[6,4,1,7,5,2,3]=>001111=>6
[6,4,1,7,5,3,2]=>011111=>6
[6,4,2,1,3,5,7]=>101010=>2
[6,4,2,1,3,7,5]=>101011=>6
[6,4,2,1,5,3,7]=>101110=>6
[6,4,2,1,5,7,3]=>101011=>6
[6,4,2,1,7,3,5]=>101011=>6
[6,4,2,1,7,5,3]=>101111=>6
[6,4,2,3,1,5,7]=>011010=>6
[6,4,2,3,1,7,5]=>011011=>3
[6,4,2,3,5,1,7]=>001110=>6
[6,4,2,3,5,7,1]=>001011=>6
[6,4,2,3,7,1,5]=>001011=>6
[6,4,2,3,7,5,1]=>001111=>6
[6,4,2,5,1,3,7]=>001110=>6
[6,4,2,5,1,7,3]=>001111=>6
[6,4,2,5,3,1,7]=>011110=>6
[6,4,2,5,3,7,1]=>001111=>6
[6,4,2,5,7,1,3]=>001011=>6
[6,4,2,5,7,3,1]=>011011=>3
[6,4,2,7,1,3,5]=>001011=>6
[6,4,2,7,1,5,3]=>001111=>6
[6,4,2,7,3,1,5]=>011011=>3
[6,4,2,7,3,5,1]=>001111=>6
[6,4,2,7,5,1,3]=>001111=>6
[6,4,2,7,5,3,1]=>011111=>6
[6,4,3,1,2,5,7]=>011010=>6
[6,4,3,1,2,7,5]=>011011=>3
[6,4,3,1,5,2,7]=>011110=>6
[6,4,3,1,5,7,2]=>011011=>3
[6,4,3,1,7,2,5]=>011011=>3
[6,4,3,1,7,5,2]=>011111=>6
[6,4,3,2,1,5,7]=>111010=>6
[6,4,3,2,1,7,5]=>111011=>6
[6,4,3,2,5,1,7]=>011110=>6
[6,4,3,2,5,7,1]=>011011=>3
[6,4,3,2,7,1,5]=>011011=>3
[6,4,3,2,7,5,1]=>011111=>6
[6,4,3,5,1,2,7]=>001110=>6
[6,4,3,5,1,7,2]=>001111=>6
[6,4,3,5,2,1,7]=>101110=>6
[6,4,3,5,2,7,1]=>001111=>6
[6,4,3,5,7,1,2]=>001011=>6
[6,4,3,5,7,2,1]=>101011=>6
[6,4,3,7,1,2,5]=>001011=>6
[6,4,3,7,1,5,2]=>001111=>6
[6,4,3,7,2,1,5]=>101011=>6
[6,4,3,7,2,5,1]=>001111=>6
[6,4,3,7,5,1,2]=>001111=>6
[6,4,3,7,5,2,1]=>101111=>6
[6,4,5,1,2,3,7]=>000110=>6
[6,4,5,1,2,7,3]=>000111=>6
[6,4,5,1,3,2,7]=>010110=>6
[6,4,5,1,3,7,2]=>000111=>6
[6,4,5,1,7,2,3]=>000111=>6
[6,4,5,1,7,3,2]=>010111=>6
[6,4,5,2,1,3,7]=>100110=>6
[6,4,5,2,1,7,3]=>100111=>6
[6,4,5,2,3,1,7]=>010110=>6
[6,4,5,2,3,7,1]=>000111=>6
[6,4,5,2,7,1,3]=>000111=>6
[6,4,5,2,7,3,1]=>010111=>6
[6,4,5,3,1,2,7]=>010110=>6
[6,4,5,3,1,7,2]=>010111=>6
[6,4,5,3,2,1,7]=>110110=>3
[6,4,5,3,2,7,1]=>010111=>6
[6,4,5,3,7,1,2]=>000111=>6
[6,4,5,3,7,2,1]=>100111=>6
[6,4,5,7,1,2,3]=>000011=>6
[6,4,5,7,1,3,2]=>010011=>6
[6,4,5,7,2,1,3]=>100011=>6
[6,4,5,7,2,3,1]=>010011=>6
[6,4,5,7,3,1,2]=>010011=>6
[6,4,5,7,3,2,1]=>110011=>6
[6,4,7,1,2,3,5]=>000011=>6
[6,4,7,1,2,5,3]=>000111=>6
[6,4,7,1,3,2,5]=>010011=>6
[6,4,7,1,3,5,2]=>000111=>6
[6,4,7,1,5,2,3]=>000111=>6
[6,4,7,1,5,3,2]=>010111=>6
[6,4,7,2,1,3,5]=>100011=>6
[6,4,7,2,1,5,3]=>100111=>6
[6,4,7,2,3,1,5]=>010011=>6
[6,4,7,2,3,5,1]=>000111=>6
[6,4,7,2,5,1,3]=>000111=>6
[6,4,7,2,5,3,1]=>010111=>6
[6,4,7,3,1,2,5]=>010011=>6
[6,4,7,3,1,5,2]=>010111=>6
[6,4,7,3,2,1,5]=>110011=>6
[6,4,7,3,2,5,1]=>010111=>6
[6,4,7,3,5,1,2]=>000111=>6
[6,4,7,3,5,2,1]=>100111=>6
[6,4,7,5,1,2,3]=>000111=>6
[6,4,7,5,1,3,2]=>010111=>6
[6,4,7,5,2,1,3]=>100111=>6
[6,4,7,5,2,3,1]=>010111=>6
[6,4,7,5,3,1,2]=>010111=>6
[6,4,7,5,3,2,1]=>110111=>6
[6,5,1,2,3,4,7]=>000110=>6
[6,5,1,2,3,7,4]=>000111=>6
[6,5,1,2,4,3,7]=>001110=>6
[6,5,1,2,4,7,3]=>000111=>6
[6,5,1,2,7,3,4]=>000111=>6
[6,5,1,2,7,4,3]=>001111=>6
[6,5,1,3,2,4,7]=>010110=>6
[6,5,1,3,2,7,4]=>010111=>6
[6,5,1,3,4,2,7]=>001110=>6
[6,5,1,3,4,7,2]=>000111=>6
[6,5,1,3,7,2,4]=>000111=>6
[6,5,1,3,7,4,2]=>001111=>6
[6,5,1,4,2,3,7]=>001110=>6
[6,5,1,4,2,7,3]=>001111=>6
[6,5,1,4,3,2,7]=>011110=>6
[6,5,1,4,3,7,2]=>001111=>6
[6,5,1,4,7,2,3]=>000111=>6
[6,5,1,4,7,3,2]=>010111=>6
[6,5,1,7,2,3,4]=>000111=>6
[6,5,1,7,2,4,3]=>001111=>6
[6,5,1,7,3,2,4]=>010111=>6
[6,5,1,7,3,4,2]=>001111=>6
[6,5,1,7,4,2,3]=>001111=>6
[6,5,1,7,4,3,2]=>011111=>6
[6,5,2,1,3,4,7]=>100110=>6
[6,5,2,1,3,7,4]=>100111=>6
[6,5,2,1,4,3,7]=>101110=>6
[6,5,2,1,4,7,3]=>100111=>6
[6,5,2,1,7,3,4]=>100111=>6
[6,5,2,1,7,4,3]=>101111=>6
[6,5,2,3,1,4,7]=>010110=>6
[6,5,2,3,1,7,4]=>010111=>6
[6,5,2,3,4,1,7]=>001110=>6
[6,5,2,3,4,7,1]=>000111=>6
[6,5,2,3,7,1,4]=>000111=>6
[6,5,2,3,7,4,1]=>001111=>6
[6,5,2,4,1,3,7]=>001110=>6
[6,5,2,4,1,7,3]=>001111=>6
[6,5,2,4,3,1,7]=>011110=>6
[6,5,2,4,3,7,1]=>001111=>6
[6,5,2,4,7,1,3]=>000111=>6
[6,5,2,4,7,3,1]=>010111=>6
[6,5,2,7,1,3,4]=>000111=>6
[6,5,2,7,1,4,3]=>001111=>6
[6,5,2,7,3,1,4]=>010111=>6
[6,5,2,7,3,4,1]=>001111=>6
[6,5,2,7,4,1,3]=>001111=>6
[6,5,2,7,4,3,1]=>011111=>6
[6,5,3,1,2,4,7]=>010110=>6
[6,5,3,1,2,7,4]=>010111=>6
[6,5,3,1,4,2,7]=>011110=>6
[6,5,3,1,4,7,2]=>010111=>6
[6,5,3,1,7,2,4]=>010111=>6
[6,5,3,1,7,4,2]=>011111=>6
[6,5,3,2,1,4,7]=>110110=>3
[6,5,3,2,1,7,4]=>110111=>6
[6,5,3,2,4,1,7]=>011110=>6
[6,5,3,2,4,7,1]=>010111=>6
[6,5,3,2,7,1,4]=>010111=>6
[6,5,3,2,7,4,1]=>011111=>6
[6,5,3,4,1,2,7]=>001110=>6
[6,5,3,4,1,7,2]=>001111=>6
[6,5,3,4,2,1,7]=>101110=>6
[6,5,3,4,2,7,1]=>001111=>6
[6,5,3,4,7,1,2]=>000111=>6
[6,5,3,4,7,2,1]=>100111=>6
[6,5,3,7,1,2,4]=>000111=>6
[6,5,3,7,1,4,2]=>001111=>6
[6,5,3,7,2,1,4]=>100111=>6
[6,5,3,7,2,4,1]=>001111=>6
[6,5,3,7,4,1,2]=>001111=>6
[6,5,3,7,4,2,1]=>101111=>6
[6,5,4,1,2,3,7]=>001110=>6
[6,5,4,1,2,7,3]=>001111=>6
[6,5,4,1,3,2,7]=>011110=>6
[6,5,4,1,3,7,2]=>001111=>6
[6,5,4,1,7,2,3]=>001111=>6
[6,5,4,1,7,3,2]=>011111=>6
[6,5,4,2,1,3,7]=>101110=>6
[6,5,4,2,1,7,3]=>101111=>6
[6,5,4,2,3,1,7]=>011110=>6
[6,5,4,2,3,7,1]=>001111=>6
[6,5,4,2,7,1,3]=>001111=>6
[6,5,4,2,7,3,1]=>011111=>6
[6,5,4,3,1,2,7]=>011110=>6
[6,5,4,3,1,7,2]=>011111=>6
[6,5,4,3,2,1,7]=>111110=>6
[6,5,4,3,2,7,1]=>011111=>6
[6,5,4,3,7,1,2]=>001111=>6
[6,5,4,3,7,2,1]=>101111=>6
[6,5,4,7,1,2,3]=>000111=>6
[6,5,4,7,1,3,2]=>010111=>6
[6,5,4,7,2,1,3]=>100111=>6
[6,5,4,7,2,3,1]=>010111=>6
[6,5,4,7,3,1,2]=>010111=>6
[6,5,4,7,3,2,1]=>110111=>6
[6,5,7,1,2,3,4]=>000011=>6
[6,5,7,1,2,4,3]=>001011=>6
[6,5,7,1,3,2,4]=>010011=>6
[6,5,7,1,3,4,2]=>001011=>6
[6,5,7,1,4,2,3]=>001011=>6
[6,5,7,1,4,3,2]=>011011=>3
[6,5,7,2,1,3,4]=>100011=>6
[6,5,7,2,1,4,3]=>101011=>6
[6,5,7,2,3,1,4]=>010011=>6
[6,5,7,2,3,4,1]=>001011=>6
[6,5,7,2,4,1,3]=>001011=>6
[6,5,7,2,4,3,1]=>011011=>3
[6,5,7,3,1,2,4]=>010011=>6
[6,5,7,3,1,4,2]=>011011=>3
[6,5,7,3,2,1,4]=>110011=>6
[6,5,7,3,2,4,1]=>011011=>3
[6,5,7,3,4,1,2]=>001011=>6
[6,5,7,3,4,2,1]=>101011=>6
[6,5,7,4,1,2,3]=>001011=>6
[6,5,7,4,1,3,2]=>011011=>3
[6,5,7,4,2,1,3]=>101011=>6
[6,5,7,4,2,3,1]=>011011=>3
[6,5,7,4,3,1,2]=>011011=>3
[6,5,7,4,3,2,1]=>111011=>6
[6,7,1,2,3,4,5]=>000001=>6
[6,7,1,2,3,5,4]=>000101=>6
[6,7,1,2,4,3,5]=>001001=>3
[6,7,1,2,4,5,3]=>000101=>6
[6,7,1,2,5,3,4]=>000101=>6
[6,7,1,2,5,4,3]=>001101=>6
[6,7,1,3,2,4,5]=>010001=>6
[6,7,1,3,2,5,4]=>010101=>2
[6,7,1,3,4,2,5]=>001001=>3
[6,7,1,3,4,5,2]=>000101=>6
[6,7,1,3,5,2,4]=>000101=>6
[6,7,1,3,5,4,2]=>001101=>6
[6,7,1,4,2,3,5]=>001001=>3
[6,7,1,4,2,5,3]=>001101=>6
[6,7,1,4,3,2,5]=>011001=>6
[6,7,1,4,3,5,2]=>001101=>6
[6,7,1,4,5,2,3]=>000101=>6
[6,7,1,4,5,3,2]=>010101=>2
[6,7,1,5,2,3,4]=>000101=>6
[6,7,1,5,2,4,3]=>001101=>6
[6,7,1,5,3,2,4]=>010101=>2
[6,7,1,5,3,4,2]=>001101=>6
[6,7,1,5,4,2,3]=>001101=>6
[6,7,1,5,4,3,2]=>011101=>6
[6,7,2,1,3,4,5]=>100001=>6
[6,7,2,1,3,5,4]=>100101=>6
[6,7,2,1,4,3,5]=>101001=>6
[6,7,2,1,4,5,3]=>100101=>6
[6,7,2,1,5,3,4]=>100101=>6
[6,7,2,1,5,4,3]=>101101=>3
[6,7,2,3,1,4,5]=>010001=>6
[6,7,2,3,1,5,4]=>010101=>2
[6,7,2,3,4,1,5]=>001001=>3
[6,7,2,3,4,5,1]=>000101=>6
[6,7,2,3,5,1,4]=>000101=>6
[6,7,2,3,5,4,1]=>001101=>6
[6,7,2,4,1,3,5]=>001001=>3
[6,7,2,4,1,5,3]=>001101=>6
[6,7,2,4,3,1,5]=>011001=>6
[6,7,2,4,3,5,1]=>001101=>6
[6,7,2,4,5,1,3]=>000101=>6
[6,7,2,4,5,3,1]=>010101=>2
[6,7,2,5,1,3,4]=>000101=>6
[6,7,2,5,1,4,3]=>001101=>6
[6,7,2,5,3,1,4]=>010101=>2
[6,7,2,5,3,4,1]=>001101=>6
[6,7,2,5,4,1,3]=>001101=>6
[6,7,2,5,4,3,1]=>011101=>6
[6,7,3,1,2,4,5]=>010001=>6
[6,7,3,1,2,5,4]=>010101=>2
[6,7,3,1,4,2,5]=>011001=>6
[6,7,3,1,4,5,2]=>010101=>2
[6,7,3,1,5,2,4]=>010101=>2
[6,7,3,1,5,4,2]=>011101=>6
[6,7,3,2,1,4,5]=>110001=>6
[6,7,3,2,1,5,4]=>110101=>6
[6,7,3,2,4,1,5]=>011001=>6
[6,7,3,2,4,5,1]=>010101=>2
[6,7,3,2,5,1,4]=>010101=>2
[6,7,3,2,5,4,1]=>011101=>6
[6,7,3,4,1,2,5]=>001001=>3
[6,7,3,4,1,5,2]=>001101=>6
[6,7,3,4,2,1,5]=>101001=>6
[6,7,3,4,2,5,1]=>001101=>6
[6,7,3,4,5,1,2]=>000101=>6
[6,7,3,4,5,2,1]=>100101=>6
[6,7,3,5,1,2,4]=>000101=>6
[6,7,3,5,1,4,2]=>001101=>6
[6,7,3,5,2,1,4]=>100101=>6
[6,7,3,5,2,4,1]=>001101=>6
[6,7,3,5,4,1,2]=>001101=>6
[6,7,3,5,4,2,1]=>101101=>3
[6,7,4,1,2,3,5]=>001001=>3
[6,7,4,1,2,5,3]=>001101=>6
[6,7,4,1,3,2,5]=>011001=>6
[6,7,4,1,3,5,2]=>001101=>6
[6,7,4,1,5,2,3]=>001101=>6
[6,7,4,1,5,3,2]=>011101=>6
[6,7,4,2,1,3,5]=>101001=>6
[6,7,4,2,1,5,3]=>101101=>3
[6,7,4,2,3,1,5]=>011001=>6
[6,7,4,2,3,5,1]=>001101=>6
[6,7,4,2,5,1,3]=>001101=>6
[6,7,4,2,5,3,1]=>011101=>6
[6,7,4,3,1,2,5]=>011001=>6
[6,7,4,3,1,5,2]=>011101=>6
[6,7,4,3,2,1,5]=>111001=>6
[6,7,4,3,2,5,1]=>011101=>6
[6,7,4,3,5,1,2]=>001101=>6
[6,7,4,3,5,2,1]=>101101=>3
[6,7,4,5,1,2,3]=>000101=>6
[6,7,4,5,1,3,2]=>010101=>2
[6,7,4,5,2,1,3]=>100101=>6
[6,7,4,5,2,3,1]=>010101=>2
[6,7,4,5,3,1,2]=>010101=>2
[6,7,4,5,3,2,1]=>110101=>6
[6,7,5,1,2,3,4]=>000101=>6
[6,7,5,1,2,4,3]=>001101=>6
[6,7,5,1,3,2,4]=>010101=>2
[6,7,5,1,3,4,2]=>001101=>6
[6,7,5,1,4,2,3]=>001101=>6
[6,7,5,1,4,3,2]=>011101=>6
[6,7,5,2,1,3,4]=>100101=>6
[6,7,5,2,1,4,3]=>101101=>3
[6,7,5,2,3,1,4]=>010101=>2
[6,7,5,2,3,4,1]=>001101=>6
[6,7,5,2,4,1,3]=>001101=>6
[6,7,5,2,4,3,1]=>011101=>6
[6,7,5,3,1,2,4]=>010101=>2
[6,7,5,3,1,4,2]=>011101=>6
[6,7,5,3,2,1,4]=>110101=>6
[6,7,5,3,2,4,1]=>011101=>6
[6,7,5,3,4,1,2]=>001101=>6
[6,7,5,3,4,2,1]=>101101=>3
[6,7,5,4,1,2,3]=>001101=>6
[6,7,5,4,1,3,2]=>011101=>6
[6,7,5,4,2,1,3]=>101101=>3
[6,7,5,4,2,3,1]=>011101=>6
[6,7,5,4,3,1,2]=>011101=>6
[6,7,5,4,3,2,1]=>111101=>6
[7,1,2,3,4,5,6]=>000001=>6
[7,1,2,3,4,6,5]=>000011=>6
[7,1,2,3,5,4,6]=>000101=>6
[7,1,2,3,5,6,4]=>000011=>6
[7,1,2,3,6,4,5]=>000011=>6
[7,1,2,3,6,5,4]=>000111=>6
[7,1,2,4,3,5,6]=>001001=>3
[7,1,2,4,3,6,5]=>001011=>6
[7,1,2,4,5,3,6]=>000101=>6
[7,1,2,4,5,6,3]=>000011=>6
[7,1,2,4,6,3,5]=>000011=>6
[7,1,2,4,6,5,3]=>000111=>6
[7,1,2,5,3,4,6]=>000101=>6
[7,1,2,5,3,6,4]=>000111=>6
[7,1,2,5,4,3,6]=>001101=>6
[7,1,2,5,4,6,3]=>000111=>6
[7,1,2,5,6,3,4]=>000011=>6
[7,1,2,5,6,4,3]=>001011=>6
[7,1,2,6,3,4,5]=>000011=>6
[7,1,2,6,3,5,4]=>000111=>6
[7,1,2,6,4,3,5]=>001011=>6
[7,1,2,6,4,5,3]=>000111=>6
[7,1,2,6,5,3,4]=>000111=>6
[7,1,2,6,5,4,3]=>001111=>6
[7,1,3,2,4,5,6]=>010001=>6
[7,1,3,2,4,6,5]=>010011=>6
[7,1,3,2,5,4,6]=>010101=>2
[7,1,3,2,5,6,4]=>010011=>6
[7,1,3,2,6,4,5]=>010011=>6
[7,1,3,2,6,5,4]=>010111=>6
[7,1,3,4,2,5,6]=>001001=>3
[7,1,3,4,2,6,5]=>001011=>6
[7,1,3,4,5,2,6]=>000101=>6
[7,1,3,4,5,6,2]=>000011=>6
[7,1,3,4,6,2,5]=>000011=>6
[7,1,3,4,6,5,2]=>000111=>6
[7,1,3,5,2,4,6]=>000101=>6
[7,1,3,5,2,6,4]=>000111=>6
[7,1,3,5,4,2,6]=>001101=>6
[7,1,3,5,4,6,2]=>000111=>6
[7,1,3,5,6,2,4]=>000011=>6
[7,1,3,5,6,4,2]=>001011=>6
[7,1,3,6,2,4,5]=>000011=>6
[7,1,3,6,2,5,4]=>000111=>6
[7,1,3,6,4,2,5]=>001011=>6
[7,1,3,6,4,5,2]=>000111=>6
[7,1,3,6,5,2,4]=>000111=>6
[7,1,3,6,5,4,2]=>001111=>6
[7,1,4,2,3,5,6]=>001001=>3
[7,1,4,2,3,6,5]=>001011=>6
[7,1,4,2,5,3,6]=>001101=>6
[7,1,4,2,5,6,3]=>001011=>6
[7,1,4,2,6,3,5]=>001011=>6
[7,1,4,2,6,5,3]=>001111=>6
[7,1,4,3,2,5,6]=>011001=>6
[7,1,4,3,2,6,5]=>011011=>3
[7,1,4,3,5,2,6]=>001101=>6
[7,1,4,3,5,6,2]=>001011=>6
[7,1,4,3,6,2,5]=>001011=>6
[7,1,4,3,6,5,2]=>001111=>6
[7,1,4,5,2,3,6]=>000101=>6
[7,1,4,5,2,6,3]=>000111=>6
[7,1,4,5,3,2,6]=>010101=>2
[7,1,4,5,3,6,2]=>000111=>6
[7,1,4,5,6,2,3]=>000011=>6
[7,1,4,5,6,3,2]=>010011=>6
[7,1,4,6,2,3,5]=>000011=>6
[7,1,4,6,2,5,3]=>000111=>6
[7,1,4,6,3,2,5]=>010011=>6
[7,1,4,6,3,5,2]=>000111=>6
[7,1,4,6,5,2,3]=>000111=>6
[7,1,4,6,5,3,2]=>010111=>6
[7,1,5,2,3,4,6]=>000101=>6
[7,1,5,2,3,6,4]=>000111=>6
[7,1,5,2,4,3,6]=>001101=>6
[7,1,5,2,4,6,3]=>000111=>6
[7,1,5,2,6,3,4]=>000111=>6
[7,1,5,2,6,4,3]=>001111=>6
[7,1,5,3,2,4,6]=>010101=>2
[7,1,5,3,2,6,4]=>010111=>6
[7,1,5,3,4,2,6]=>001101=>6
[7,1,5,3,4,6,2]=>000111=>6
[7,1,5,3,6,2,4]=>000111=>6
[7,1,5,3,6,4,2]=>001111=>6
[7,1,5,4,2,3,6]=>001101=>6
[7,1,5,4,2,6,3]=>001111=>6
[7,1,5,4,3,2,6]=>011101=>6
[7,1,5,4,3,6,2]=>001111=>6
[7,1,5,4,6,2,3]=>000111=>6
[7,1,5,4,6,3,2]=>010111=>6
[7,1,5,6,2,3,4]=>000011=>6
[7,1,5,6,2,4,3]=>001011=>6
[7,1,5,6,3,2,4]=>010011=>6
[7,1,5,6,3,4,2]=>001011=>6
[7,1,5,6,4,2,3]=>001011=>6
[7,1,5,6,4,3,2]=>011011=>3
[7,1,6,2,3,4,5]=>000011=>6
[7,1,6,2,3,5,4]=>000111=>6
[7,1,6,2,4,3,5]=>001011=>6
[7,1,6,2,4,5,3]=>000111=>6
[7,1,6,2,5,3,4]=>000111=>6
[7,1,6,2,5,4,3]=>001111=>6
[7,1,6,3,2,4,5]=>010011=>6
[7,1,6,3,2,5,4]=>010111=>6
[7,1,6,3,4,2,5]=>001011=>6
[7,1,6,3,4,5,2]=>000111=>6
[7,1,6,3,5,2,4]=>000111=>6
[7,1,6,3,5,4,2]=>001111=>6
[7,1,6,4,2,3,5]=>001011=>6
[7,1,6,4,2,5,3]=>001111=>6
[7,1,6,4,3,2,5]=>011011=>3
[7,1,6,4,3,5,2]=>001111=>6
[7,1,6,4,5,2,3]=>000111=>6
[7,1,6,4,5,3,2]=>010111=>6
[7,1,6,5,2,3,4]=>000111=>6
[7,1,6,5,2,4,3]=>001111=>6
[7,1,6,5,3,2,4]=>010111=>6
[7,1,6,5,3,4,2]=>001111=>6
[7,1,6,5,4,2,3]=>001111=>6
[7,1,6,5,4,3,2]=>011111=>6
[7,2,1,3,4,5,6]=>100001=>6
[7,2,1,3,4,6,5]=>100011=>6
[7,2,1,3,5,4,6]=>100101=>6
[7,2,1,3,5,6,4]=>100011=>6
[7,2,1,3,6,4,5]=>100011=>6
[7,2,1,3,6,5,4]=>100111=>6
[7,2,1,4,3,5,6]=>101001=>6
[7,2,1,4,3,6,5]=>101011=>6
[7,2,1,4,5,3,6]=>100101=>6
[7,2,1,4,5,6,3]=>100011=>6
[7,2,1,4,6,3,5]=>100011=>6
[7,2,1,4,6,5,3]=>100111=>6
[7,2,1,5,3,4,6]=>100101=>6
[7,2,1,5,3,6,4]=>100111=>6
[7,2,1,5,4,3,6]=>101101=>3
[7,2,1,5,4,6,3]=>100111=>6
[7,2,1,5,6,3,4]=>100011=>6
[7,2,1,5,6,4,3]=>101011=>6
[7,2,1,6,3,4,5]=>100011=>6
[7,2,1,6,3,5,4]=>100111=>6
[7,2,1,6,4,3,5]=>101011=>6
[7,2,1,6,4,5,3]=>100111=>6
[7,2,1,6,5,3,4]=>100111=>6
[7,2,1,6,5,4,3]=>101111=>6
[7,2,3,1,4,5,6]=>010001=>6
[7,2,3,1,4,6,5]=>010011=>6
[7,2,3,1,5,4,6]=>010101=>2
[7,2,3,1,5,6,4]=>010011=>6
[7,2,3,1,6,4,5]=>010011=>6
[7,2,3,1,6,5,4]=>010111=>6
[7,2,3,4,1,5,6]=>001001=>3
[7,2,3,4,1,6,5]=>001011=>6
[7,2,3,4,5,1,6]=>000101=>6
[7,2,3,4,5,6,1]=>000011=>6
[7,2,3,4,6,1,5]=>000011=>6
[7,2,3,4,6,5,1]=>000111=>6
[7,2,3,5,1,4,6]=>000101=>6
[7,2,3,5,1,6,4]=>000111=>6
[7,2,3,5,4,1,6]=>001101=>6
[7,2,3,5,4,6,1]=>000111=>6
[7,2,3,5,6,1,4]=>000011=>6
[7,2,3,5,6,4,1]=>001011=>6
[7,2,3,6,1,4,5]=>000011=>6
[7,2,3,6,1,5,4]=>000111=>6
[7,2,3,6,4,1,5]=>001011=>6
[7,2,3,6,4,5,1]=>000111=>6
[7,2,3,6,5,1,4]=>000111=>6
[7,2,3,6,5,4,1]=>001111=>6
[7,2,4,1,3,5,6]=>001001=>3
[7,2,4,1,3,6,5]=>001011=>6
[7,2,4,1,5,3,6]=>001101=>6
[7,2,4,1,5,6,3]=>001011=>6
[7,2,4,1,6,3,5]=>001011=>6
[7,2,4,1,6,5,3]=>001111=>6
[7,2,4,3,1,5,6]=>011001=>6
[7,2,4,3,1,6,5]=>011011=>3
[7,2,4,3,5,1,6]=>001101=>6
[7,2,4,3,5,6,1]=>001011=>6
[7,2,4,3,6,1,5]=>001011=>6
[7,2,4,3,6,5,1]=>001111=>6
[7,2,4,5,1,3,6]=>000101=>6
[7,2,4,5,1,6,3]=>000111=>6
[7,2,4,5,3,1,6]=>010101=>2
[7,2,4,5,3,6,1]=>000111=>6
[7,2,4,5,6,1,3]=>000011=>6
[7,2,4,5,6,3,1]=>010011=>6
[7,2,4,6,1,3,5]=>000011=>6
[7,2,4,6,1,5,3]=>000111=>6
[7,2,4,6,3,1,5]=>010011=>6
[7,2,4,6,3,5,1]=>000111=>6
[7,2,4,6,5,1,3]=>000111=>6
[7,2,4,6,5,3,1]=>010111=>6
[7,2,5,1,3,4,6]=>000101=>6
[7,2,5,1,3,6,4]=>000111=>6
[7,2,5,1,4,3,6]=>001101=>6
[7,2,5,1,4,6,3]=>000111=>6
[7,2,5,1,6,3,4]=>000111=>6
[7,2,5,1,6,4,3]=>001111=>6
[7,2,5,3,1,4,6]=>010101=>2
[7,2,5,3,1,6,4]=>010111=>6
[7,2,5,3,4,1,6]=>001101=>6
[7,2,5,3,4,6,1]=>000111=>6
[7,2,5,3,6,1,4]=>000111=>6
[7,2,5,3,6,4,1]=>001111=>6
[7,2,5,4,1,3,6]=>001101=>6
[7,2,5,4,1,6,3]=>001111=>6
[7,2,5,4,3,1,6]=>011101=>6
[7,2,5,4,3,6,1]=>001111=>6
[7,2,5,4,6,1,3]=>000111=>6
[7,2,5,4,6,3,1]=>010111=>6
[7,2,5,6,1,3,4]=>000011=>6
[7,2,5,6,1,4,3]=>001011=>6
[7,2,5,6,3,1,4]=>010011=>6
[7,2,5,6,3,4,1]=>001011=>6
[7,2,5,6,4,1,3]=>001011=>6
[7,2,5,6,4,3,1]=>011011=>3
[7,2,6,1,3,4,5]=>000011=>6
[7,2,6,1,3,5,4]=>000111=>6
[7,2,6,1,4,3,5]=>001011=>6
[7,2,6,1,4,5,3]=>000111=>6
[7,2,6,1,5,3,4]=>000111=>6
[7,2,6,1,5,4,3]=>001111=>6
[7,2,6,3,1,4,5]=>010011=>6
[7,2,6,3,1,5,4]=>010111=>6
[7,2,6,3,4,1,5]=>001011=>6
[7,2,6,3,4,5,1]=>000111=>6
[7,2,6,3,5,1,4]=>000111=>6
[7,2,6,3,5,4,1]=>001111=>6
[7,2,6,4,1,3,5]=>001011=>6
[7,2,6,4,1,5,3]=>001111=>6
[7,2,6,4,3,1,5]=>011011=>3
[7,2,6,4,3,5,1]=>001111=>6
[7,2,6,4,5,1,3]=>000111=>6
[7,2,6,4,5,3,1]=>010111=>6
[7,2,6,5,1,3,4]=>000111=>6
[7,2,6,5,1,4,3]=>001111=>6
[7,2,6,5,3,1,4]=>010111=>6
[7,2,6,5,3,4,1]=>001111=>6
[7,2,6,5,4,1,3]=>001111=>6
[7,2,6,5,4,3,1]=>011111=>6
[7,3,1,2,4,5,6]=>010001=>6
[7,3,1,2,4,6,5]=>010011=>6
[7,3,1,2,5,4,6]=>010101=>2
[7,3,1,2,5,6,4]=>010011=>6
[7,3,1,2,6,4,5]=>010011=>6
[7,3,1,2,6,5,4]=>010111=>6
[7,3,1,4,2,5,6]=>011001=>6
[7,3,1,4,2,6,5]=>011011=>3
[7,3,1,4,5,2,6]=>010101=>2
[7,3,1,4,5,6,2]=>010011=>6
[7,3,1,4,6,2,5]=>010011=>6
[7,3,1,4,6,5,2]=>010111=>6
[7,3,1,5,2,4,6]=>010101=>2
[7,3,1,5,2,6,4]=>010111=>6
[7,3,1,5,4,2,6]=>011101=>6
[7,3,1,5,4,6,2]=>010111=>6
[7,3,1,5,6,2,4]=>010011=>6
[7,3,1,5,6,4,2]=>011011=>3
[7,3,1,6,2,4,5]=>010011=>6
[7,3,1,6,2,5,4]=>010111=>6
[7,3,1,6,4,2,5]=>011011=>3
[7,3,1,6,4,5,2]=>010111=>6
[7,3,1,6,5,2,4]=>010111=>6
[7,3,1,6,5,4,2]=>011111=>6
[7,3,2,1,4,5,6]=>110001=>6
[7,3,2,1,4,6,5]=>110011=>6
[7,3,2,1,5,4,6]=>110101=>6
[7,3,2,1,5,6,4]=>110011=>6
[7,3,2,1,6,4,5]=>110011=>6
[7,3,2,1,6,5,4]=>110111=>6
[7,3,2,4,1,5,6]=>011001=>6
[7,3,2,4,1,6,5]=>011011=>3
[7,3,2,4,5,1,6]=>010101=>2
[7,3,2,4,5,6,1]=>010011=>6
[7,3,2,4,6,1,5]=>010011=>6
[7,3,2,4,6,5,1]=>010111=>6
[7,3,2,5,1,4,6]=>010101=>2
[7,3,2,5,1,6,4]=>010111=>6
[7,3,2,5,4,1,6]=>011101=>6
[7,3,2,5,4,6,1]=>010111=>6
[7,3,2,5,6,1,4]=>010011=>6
[7,3,2,5,6,4,1]=>011011=>3
[7,3,2,6,1,4,5]=>010011=>6
[7,3,2,6,1,5,4]=>010111=>6
[7,3,2,6,4,1,5]=>011011=>3
[7,3,2,6,4,5,1]=>010111=>6
[7,3,2,6,5,1,4]=>010111=>6
[7,3,2,6,5,4,1]=>011111=>6
[7,3,4,1,2,5,6]=>001001=>3
[7,3,4,1,2,6,5]=>001011=>6
[7,3,4,1,5,2,6]=>001101=>6
[7,3,4,1,5,6,2]=>001011=>6
[7,3,4,1,6,2,5]=>001011=>6
[7,3,4,1,6,5,2]=>001111=>6
[7,3,4,2,1,5,6]=>101001=>6
[7,3,4,2,1,6,5]=>101011=>6
[7,3,4,2,5,1,6]=>001101=>6
[7,3,4,2,5,6,1]=>001011=>6
[7,3,4,2,6,1,5]=>001011=>6
[7,3,4,2,6,5,1]=>001111=>6
[7,3,4,5,1,2,6]=>000101=>6
[7,3,4,5,1,6,2]=>000111=>6
[7,3,4,5,2,1,6]=>100101=>6
[7,3,4,5,2,6,1]=>000111=>6
[7,3,4,5,6,1,2]=>000011=>6
[7,3,4,5,6,2,1]=>100011=>6
[7,3,4,6,1,2,5]=>000011=>6
[7,3,4,6,1,5,2]=>000111=>6
[7,3,4,6,2,1,5]=>100011=>6
[7,3,4,6,2,5,1]=>000111=>6
[7,3,4,6,5,1,2]=>000111=>6
[7,3,4,6,5,2,1]=>100111=>6
[7,3,5,1,2,4,6]=>000101=>6
[7,3,5,1,2,6,4]=>000111=>6
[7,3,5,1,4,2,6]=>001101=>6
[7,3,5,1,4,6,2]=>000111=>6
[7,3,5,1,6,2,4]=>000111=>6
[7,3,5,1,6,4,2]=>001111=>6
[7,3,5,2,1,4,6]=>100101=>6
[7,3,5,2,1,6,4]=>100111=>6
[7,3,5,2,4,1,6]=>001101=>6
[7,3,5,2,4,6,1]=>000111=>6
[7,3,5,2,6,1,4]=>000111=>6
[7,3,5,2,6,4,1]=>001111=>6
[7,3,5,4,1,2,6]=>001101=>6
[7,3,5,4,1,6,2]=>001111=>6
[7,3,5,4,2,1,6]=>101101=>3
[7,3,5,4,2,6,1]=>001111=>6
[7,3,5,4,6,1,2]=>000111=>6
[7,3,5,4,6,2,1]=>100111=>6
[7,3,5,6,1,2,4]=>000011=>6
[7,3,5,6,1,4,2]=>001011=>6
[7,3,5,6,2,1,4]=>100011=>6
[7,3,5,6,2,4,1]=>001011=>6
[7,3,5,6,4,1,2]=>001011=>6
[7,3,5,6,4,2,1]=>101011=>6
[7,3,6,1,2,4,5]=>000011=>6
[7,3,6,1,2,5,4]=>000111=>6
[7,3,6,1,4,2,5]=>001011=>6
[7,3,6,1,4,5,2]=>000111=>6
[7,3,6,1,5,2,4]=>000111=>6
[7,3,6,1,5,4,2]=>001111=>6
[7,3,6,2,1,4,5]=>100011=>6
[7,3,6,2,1,5,4]=>100111=>6
[7,3,6,2,4,1,5]=>001011=>6
[7,3,6,2,4,5,1]=>000111=>6
[7,3,6,2,5,1,4]=>000111=>6
[7,3,6,2,5,4,1]=>001111=>6
[7,3,6,4,1,2,5]=>001011=>6
[7,3,6,4,1,5,2]=>001111=>6
[7,3,6,4,2,1,5]=>101011=>6
[7,3,6,4,2,5,1]=>001111=>6
[7,3,6,4,5,1,2]=>000111=>6
[7,3,6,4,5,2,1]=>100111=>6
[7,3,6,5,1,2,4]=>000111=>6
[7,3,6,5,1,4,2]=>001111=>6
[7,3,6,5,2,1,4]=>100111=>6
[7,3,6,5,2,4,1]=>001111=>6
[7,3,6,5,4,1,2]=>001111=>6
[7,3,6,5,4,2,1]=>101111=>6
[7,4,1,2,3,5,6]=>001001=>3
[7,4,1,2,3,6,5]=>001011=>6
[7,4,1,2,5,3,6]=>001101=>6
[7,4,1,2,5,6,3]=>001011=>6
[7,4,1,2,6,3,5]=>001011=>6
[7,4,1,2,6,5,3]=>001111=>6
[7,4,1,3,2,5,6]=>011001=>6
[7,4,1,3,2,6,5]=>011011=>3
[7,4,1,3,5,2,6]=>001101=>6
[7,4,1,3,5,6,2]=>001011=>6
[7,4,1,3,6,2,5]=>001011=>6
[7,4,1,3,6,5,2]=>001111=>6
[7,4,1,5,2,3,6]=>001101=>6
[7,4,1,5,2,6,3]=>001111=>6
[7,4,1,5,3,2,6]=>011101=>6
[7,4,1,5,3,6,2]=>001111=>6
[7,4,1,5,6,2,3]=>001011=>6
[7,4,1,5,6,3,2]=>011011=>3
[7,4,1,6,2,3,5]=>001011=>6
[7,4,1,6,2,5,3]=>001111=>6
[7,4,1,6,3,2,5]=>011011=>3
[7,4,1,6,3,5,2]=>001111=>6
[7,4,1,6,5,2,3]=>001111=>6
[7,4,1,6,5,3,2]=>011111=>6
[7,4,2,1,3,5,6]=>101001=>6
[7,4,2,1,3,6,5]=>101011=>6
[7,4,2,1,5,3,6]=>101101=>3
[7,4,2,1,5,6,3]=>101011=>6
[7,4,2,1,6,3,5]=>101011=>6
[7,4,2,1,6,5,3]=>101111=>6
[7,4,2,3,1,5,6]=>011001=>6
[7,4,2,3,1,6,5]=>011011=>3
[7,4,2,3,5,1,6]=>001101=>6
[7,4,2,3,5,6,1]=>001011=>6
[7,4,2,3,6,1,5]=>001011=>6
[7,4,2,3,6,5,1]=>001111=>6
[7,4,2,5,1,3,6]=>001101=>6
[7,4,2,5,1,6,3]=>001111=>6
[7,4,2,5,3,1,6]=>011101=>6
[7,4,2,5,3,6,1]=>001111=>6
[7,4,2,5,6,1,3]=>001011=>6
[7,4,2,5,6,3,1]=>011011=>3
[7,4,2,6,1,3,5]=>001011=>6
[7,4,2,6,1,5,3]=>001111=>6
[7,4,2,6,3,1,5]=>011011=>3
[7,4,2,6,3,5,1]=>001111=>6
[7,4,2,6,5,1,3]=>001111=>6
[7,4,2,6,5,3,1]=>011111=>6
[7,4,3,1,2,5,6]=>011001=>6
[7,4,3,1,2,6,5]=>011011=>3
[7,4,3,1,5,2,6]=>011101=>6
[7,4,3,1,5,6,2]=>011011=>3
[7,4,3,1,6,2,5]=>011011=>3
[7,4,3,1,6,5,2]=>011111=>6
[7,4,3,2,1,5,6]=>111001=>6
[7,4,3,2,1,6,5]=>111011=>6
[7,4,3,2,5,1,6]=>011101=>6
[7,4,3,2,5,6,1]=>011011=>3
[7,4,3,2,6,1,5]=>011011=>3
[7,4,3,2,6,5,1]=>011111=>6
[7,4,3,5,1,2,6]=>001101=>6
[7,4,3,5,1,6,2]=>001111=>6
[7,4,3,5,2,1,6]=>101101=>3
[7,4,3,5,2,6,1]=>001111=>6
[7,4,3,5,6,1,2]=>001011=>6
[7,4,3,5,6,2,1]=>101011=>6
[7,4,3,6,1,2,5]=>001011=>6
[7,4,3,6,1,5,2]=>001111=>6
[7,4,3,6,2,1,5]=>101011=>6
[7,4,3,6,2,5,1]=>001111=>6
[7,4,3,6,5,1,2]=>001111=>6
[7,4,3,6,5,2,1]=>101111=>6
[7,4,5,1,2,3,6]=>000101=>6
[7,4,5,1,2,6,3]=>000111=>6
[7,4,5,1,3,2,6]=>010101=>2
[7,4,5,1,3,6,2]=>000111=>6
[7,4,5,1,6,2,3]=>000111=>6
[7,4,5,1,6,3,2]=>010111=>6
[7,4,5,2,1,3,6]=>100101=>6
[7,4,5,2,1,6,3]=>100111=>6
[7,4,5,2,3,1,6]=>010101=>2
[7,4,5,2,3,6,1]=>000111=>6
[7,4,5,2,6,1,3]=>000111=>6
[7,4,5,2,6,3,1]=>010111=>6
[7,4,5,3,1,2,6]=>010101=>2
[7,4,5,3,1,6,2]=>010111=>6
[7,4,5,3,2,1,6]=>110101=>6
[7,4,5,3,2,6,1]=>010111=>6
[7,4,5,3,6,1,2]=>000111=>6
[7,4,5,3,6,2,1]=>100111=>6
[7,4,5,6,1,2,3]=>000011=>6
[7,4,5,6,1,3,2]=>010011=>6
[7,4,5,6,2,1,3]=>100011=>6
[7,4,5,6,2,3,1]=>010011=>6
[7,4,5,6,3,1,2]=>010011=>6
[7,4,5,6,3,2,1]=>110011=>6
[7,4,6,1,2,3,5]=>000011=>6
[7,4,6,1,2,5,3]=>000111=>6
[7,4,6,1,3,2,5]=>010011=>6
[7,4,6,1,3,5,2]=>000111=>6
[7,4,6,1,5,2,3]=>000111=>6
[7,4,6,1,5,3,2]=>010111=>6
[7,4,6,2,1,3,5]=>100011=>6
[7,4,6,2,1,5,3]=>100111=>6
[7,4,6,2,3,1,5]=>010011=>6
[7,4,6,2,3,5,1]=>000111=>6
[7,4,6,2,5,1,3]=>000111=>6
[7,4,6,2,5,3,1]=>010111=>6
[7,4,6,3,1,2,5]=>010011=>6
[7,4,6,3,1,5,2]=>010111=>6
[7,4,6,3,2,1,5]=>110011=>6
[7,4,6,3,2,5,1]=>010111=>6
[7,4,6,3,5,1,2]=>000111=>6
[7,4,6,3,5,2,1]=>100111=>6
[7,4,6,5,1,2,3]=>000111=>6
[7,4,6,5,1,3,2]=>010111=>6
[7,4,6,5,2,1,3]=>100111=>6
[7,4,6,5,2,3,1]=>010111=>6
[7,4,6,5,3,1,2]=>010111=>6
[7,4,6,5,3,2,1]=>110111=>6
[7,5,1,2,3,4,6]=>000101=>6
[7,5,1,2,3,6,4]=>000111=>6
[7,5,1,2,4,3,6]=>001101=>6
[7,5,1,2,4,6,3]=>000111=>6
[7,5,1,2,6,3,4]=>000111=>6
[7,5,1,2,6,4,3]=>001111=>6
[7,5,1,3,2,4,6]=>010101=>2
[7,5,1,3,2,6,4]=>010111=>6
[7,5,1,3,4,2,6]=>001101=>6
[7,5,1,3,4,6,2]=>000111=>6
[7,5,1,3,6,2,4]=>000111=>6
[7,5,1,3,6,4,2]=>001111=>6
[7,5,1,4,2,3,6]=>001101=>6
[7,5,1,4,2,6,3]=>001111=>6
[7,5,1,4,3,2,6]=>011101=>6
[7,5,1,4,3,6,2]=>001111=>6
[7,5,1,4,6,2,3]=>000111=>6
[7,5,1,4,6,3,2]=>010111=>6
[7,5,1,6,2,3,4]=>000111=>6
[7,5,1,6,2,4,3]=>001111=>6
[7,5,1,6,3,2,4]=>010111=>6
[7,5,1,6,3,4,2]=>001111=>6
[7,5,1,6,4,2,3]=>001111=>6
[7,5,1,6,4,3,2]=>011111=>6
[7,5,2,1,3,4,6]=>100101=>6
[7,5,2,1,3,6,4]=>100111=>6
[7,5,2,1,4,3,6]=>101101=>3
[7,5,2,1,4,6,3]=>100111=>6
[7,5,2,1,6,3,4]=>100111=>6
[7,5,2,1,6,4,3]=>101111=>6
[7,5,2,3,1,4,6]=>010101=>2
[7,5,2,3,1,6,4]=>010111=>6
[7,5,2,3,4,1,6]=>001101=>6
[7,5,2,3,4,6,1]=>000111=>6
[7,5,2,3,6,1,4]=>000111=>6
[7,5,2,3,6,4,1]=>001111=>6
[7,5,2,4,1,3,6]=>001101=>6
[7,5,2,4,1,6,3]=>001111=>6
[7,5,2,4,3,1,6]=>011101=>6
[7,5,2,4,3,6,1]=>001111=>6
[7,5,2,4,6,1,3]=>000111=>6
[7,5,2,4,6,3,1]=>010111=>6
[7,5,2,6,1,3,4]=>000111=>6
[7,5,2,6,1,4,3]=>001111=>6
[7,5,2,6,3,1,4]=>010111=>6
[7,5,2,6,3,4,1]=>001111=>6
[7,5,2,6,4,1,3]=>001111=>6
[7,5,2,6,4,3,1]=>011111=>6
[7,5,3,1,2,4,6]=>010101=>2
[7,5,3,1,2,6,4]=>010111=>6
[7,5,3,1,4,2,6]=>011101=>6
[7,5,3,1,4,6,2]=>010111=>6
[7,5,3,1,6,2,4]=>010111=>6
[7,5,3,1,6,4,2]=>011111=>6
[7,5,3,2,1,4,6]=>110101=>6
[7,5,3,2,1,6,4]=>110111=>6
[7,5,3,2,4,1,6]=>011101=>6
[7,5,3,2,4,6,1]=>010111=>6
[7,5,3,2,6,1,4]=>010111=>6
[7,5,3,2,6,4,1]=>011111=>6
[7,5,3,4,1,2,6]=>001101=>6
[7,5,3,4,1,6,2]=>001111=>6
[7,5,3,4,2,1,6]=>101101=>3
[7,5,3,4,2,6,1]=>001111=>6
[7,5,3,4,6,1,2]=>000111=>6
[7,5,3,4,6,2,1]=>100111=>6
[7,5,3,6,1,2,4]=>000111=>6
[7,5,3,6,1,4,2]=>001111=>6
[7,5,3,6,2,1,4]=>100111=>6
[7,5,3,6,2,4,1]=>001111=>6
[7,5,3,6,4,1,2]=>001111=>6
[7,5,3,6,4,2,1]=>101111=>6
[7,5,4,1,2,3,6]=>001101=>6
[7,5,4,1,2,6,3]=>001111=>6
[7,5,4,1,3,2,6]=>011101=>6
[7,5,4,1,3,6,2]=>001111=>6
[7,5,4,1,6,2,3]=>001111=>6
[7,5,4,1,6,3,2]=>011111=>6
[7,5,4,2,1,3,6]=>101101=>3
[7,5,4,2,1,6,3]=>101111=>6
[7,5,4,2,3,1,6]=>011101=>6
[7,5,4,2,3,6,1]=>001111=>6
[7,5,4,2,6,1,3]=>001111=>6
[7,5,4,2,6,3,1]=>011111=>6
[7,5,4,3,1,2,6]=>011101=>6
[7,5,4,3,1,6,2]=>011111=>6
[7,5,4,3,2,1,6]=>111101=>6
[7,5,4,3,2,6,1]=>011111=>6
[7,5,4,3,6,1,2]=>001111=>6
[7,5,4,3,6,2,1]=>101111=>6
[7,5,4,6,1,2,3]=>000111=>6
[7,5,4,6,1,3,2]=>010111=>6
[7,5,4,6,2,1,3]=>100111=>6
[7,5,4,6,2,3,1]=>010111=>6
[7,5,4,6,3,1,2]=>010111=>6
[7,5,4,6,3,2,1]=>110111=>6
[7,5,6,1,2,3,4]=>000011=>6
[7,5,6,1,2,4,3]=>001011=>6
[7,5,6,1,3,2,4]=>010011=>6
[7,5,6,1,3,4,2]=>001011=>6
[7,5,6,1,4,2,3]=>001011=>6
[7,5,6,1,4,3,2]=>011011=>3
[7,5,6,2,1,3,4]=>100011=>6
[7,5,6,2,1,4,3]=>101011=>6
[7,5,6,2,3,1,4]=>010011=>6
[7,5,6,2,3,4,1]=>001011=>6
[7,5,6,2,4,1,3]=>001011=>6
[7,5,6,2,4,3,1]=>011011=>3
[7,5,6,3,1,2,4]=>010011=>6
[7,5,6,3,1,4,2]=>011011=>3
[7,5,6,3,2,1,4]=>110011=>6
[7,5,6,3,2,4,1]=>011011=>3
[7,5,6,3,4,1,2]=>001011=>6
[7,5,6,3,4,2,1]=>101011=>6
[7,5,6,4,1,2,3]=>001011=>6
[7,5,6,4,1,3,2]=>011011=>3
[7,5,6,4,2,1,3]=>101011=>6
[7,5,6,4,2,3,1]=>011011=>3
[7,5,6,4,3,1,2]=>011011=>3
[7,5,6,4,3,2,1]=>111011=>6
[7,6,1,2,3,4,5]=>000011=>6
[7,6,1,2,3,5,4]=>000111=>6
[7,6,1,2,4,3,5]=>001011=>6
[7,6,1,2,4,5,3]=>000111=>6
[7,6,1,2,5,3,4]=>000111=>6
[7,6,1,2,5,4,3]=>001111=>6
[7,6,1,3,2,4,5]=>010011=>6
[7,6,1,3,2,5,4]=>010111=>6
[7,6,1,3,4,2,5]=>001011=>6
[7,6,1,3,4,5,2]=>000111=>6
[7,6,1,3,5,2,4]=>000111=>6
[7,6,1,3,5,4,2]=>001111=>6
[7,6,1,4,2,3,5]=>001011=>6
[7,6,1,4,2,5,3]=>001111=>6
[7,6,1,4,3,2,5]=>011011=>3
[7,6,1,4,3,5,2]=>001111=>6
[7,6,1,4,5,2,3]=>000111=>6
[7,6,1,4,5,3,2]=>010111=>6
[7,6,1,5,2,3,4]=>000111=>6
[7,6,1,5,2,4,3]=>001111=>6
[7,6,1,5,3,2,4]=>010111=>6
[7,6,1,5,3,4,2]=>001111=>6
[7,6,1,5,4,2,3]=>001111=>6
[7,6,1,5,4,3,2]=>011111=>6
[7,6,2,1,3,4,5]=>100011=>6
[7,6,2,1,3,5,4]=>100111=>6
[7,6,2,1,4,3,5]=>101011=>6
[7,6,2,1,4,5,3]=>100111=>6
[7,6,2,1,5,3,4]=>100111=>6
[7,6,2,1,5,4,3]=>101111=>6
[7,6,2,3,1,4,5]=>010011=>6
[7,6,2,3,1,5,4]=>010111=>6
[7,6,2,3,4,1,5]=>001011=>6
[7,6,2,3,4,5,1]=>000111=>6
[7,6,2,3,5,1,4]=>000111=>6
[7,6,2,3,5,4,1]=>001111=>6
[7,6,2,4,1,3,5]=>001011=>6
[7,6,2,4,1,5,3]=>001111=>6
[7,6,2,4,3,1,5]=>011011=>3
[7,6,2,4,3,5,1]=>001111=>6
[7,6,2,4,5,1,3]=>000111=>6
[7,6,2,4,5,3,1]=>010111=>6
[7,6,2,5,1,3,4]=>000111=>6
[7,6,2,5,1,4,3]=>001111=>6
[7,6,2,5,3,1,4]=>010111=>6
[7,6,2,5,3,4,1]=>001111=>6
[7,6,2,5,4,1,3]=>001111=>6
[7,6,2,5,4,3,1]=>011111=>6
[7,6,3,1,2,4,5]=>010011=>6
[7,6,3,1,2,5,4]=>010111=>6
[7,6,3,1,4,2,5]=>011011=>3
[7,6,3,1,4,5,2]=>010111=>6
[7,6,3,1,5,2,4]=>010111=>6
[7,6,3,1,5,4,2]=>011111=>6
[7,6,3,2,1,4,5]=>110011=>6
[7,6,3,2,1,5,4]=>110111=>6
[7,6,3,2,4,1,5]=>011011=>3
[7,6,3,2,4,5,1]=>010111=>6
[7,6,3,2,5,1,4]=>010111=>6
[7,6,3,2,5,4,1]=>011111=>6
[7,6,3,4,1,2,5]=>001011=>6
[7,6,3,4,1,5,2]=>001111=>6
[7,6,3,4,2,1,5]=>101011=>6
[7,6,3,4,2,5,1]=>001111=>6
[7,6,3,4,5,1,2]=>000111=>6
[7,6,3,4,5,2,1]=>100111=>6
[7,6,3,5,1,2,4]=>000111=>6
[7,6,3,5,1,4,2]=>001111=>6
[7,6,3,5,2,1,4]=>100111=>6
[7,6,3,5,2,4,1]=>001111=>6
[7,6,3,5,4,1,2]=>001111=>6
[7,6,3,5,4,2,1]=>101111=>6
[7,6,4,1,2,3,5]=>001011=>6
[7,6,4,1,2,5,3]=>001111=>6
[7,6,4,1,3,2,5]=>011011=>3
[7,6,4,1,3,5,2]=>001111=>6
[7,6,4,1,5,2,3]=>001111=>6
[7,6,4,1,5,3,2]=>011111=>6
[7,6,4,2,1,3,5]=>101011=>6
[7,6,4,2,1,5,3]=>101111=>6
[7,6,4,2,3,1,5]=>011011=>3
[7,6,4,2,3,5,1]=>001111=>6
[7,6,4,2,5,1,3]=>001111=>6
[7,6,4,2,5,3,1]=>011111=>6
[7,6,4,3,1,2,5]=>011011=>3
[7,6,4,3,1,5,2]=>011111=>6
[7,6,4,3,2,1,5]=>111011=>6
[7,6,4,3,2,5,1]=>011111=>6
[7,6,4,3,5,1,2]=>001111=>6
[7,6,4,3,5,2,1]=>101111=>6
[7,6,4,5,1,2,3]=>000111=>6
[7,6,4,5,1,3,2]=>010111=>6
[7,6,4,5,2,1,3]=>100111=>6
[7,6,4,5,2,3,1]=>010111=>6
[7,6,4,5,3,1,2]=>010111=>6
[7,6,4,5,3,2,1]=>110111=>6
[7,6,5,1,2,3,4]=>000111=>6
[7,6,5,1,2,4,3]=>001111=>6
[7,6,5,1,3,2,4]=>010111=>6
[7,6,5,1,3,4,2]=>001111=>6
[7,6,5,1,4,2,3]=>001111=>6
[7,6,5,1,4,3,2]=>011111=>6
[7,6,5,2,1,3,4]=>100111=>6
[7,6,5,2,1,4,3]=>101111=>6
[7,6,5,2,3,1,4]=>010111=>6
[7,6,5,2,3,4,1]=>001111=>6
[7,6,5,2,4,1,3]=>001111=>6
[7,6,5,2,4,3,1]=>011111=>6
[7,6,5,3,1,2,4]=>010111=>6
[7,6,5,3,1,4,2]=>011111=>6
[7,6,5,3,2,1,4]=>110111=>6
[7,6,5,3,2,4,1]=>011111=>6
[7,6,5,3,4,1,2]=>001111=>6
[7,6,5,3,4,2,1]=>101111=>6
[7,6,5,4,1,2,3]=>001111=>6
[7,6,5,4,1,3,2]=>011111=>6
[7,6,5,4,2,1,3]=>101111=>6
[7,6,5,4,2,3,1]=>011111=>6
[7,6,5,4,3,1,2]=>011111=>6
[7,6,5,4,3,2,1]=>111111=>1
[8,7,6,5,4,3,2,1]=>1111111=>1
[7,8,6,5,4,3,2,1]=>1111101=>7
[8,6,7,5,4,3,2,1]=>1111011=>7
[7,6,8,5,4,3,2,1]=>1111011=>7
[6,7,8,5,4,3,2,1]=>1111001=>7
[8,7,5,6,4,3,2,1]=>1110111=>7
[7,8,5,6,4,3,2,1]=>1110101=>7
[8,6,5,7,4,3,2,1]=>1110111=>7
[8,5,6,7,4,3,2,1]=>1110011=>7
[7,6,5,8,4,3,2,1]=>1110111=>7
[6,7,5,8,4,3,2,1]=>1110011=>7
[7,5,6,8,4,3,2,1]=>1110011=>7
[6,5,7,8,4,3,2,1]=>1110101=>7
[5,6,7,8,4,3,2,1]=>1110001=>7
[8,7,6,4,5,3,2,1]=>1101111=>7
[7,8,6,4,5,3,2,1]=>1101101=>7
[8,6,7,4,5,3,2,1]=>1101011=>7
[7,6,8,4,5,3,2,1]=>1101011=>7
[6,7,8,4,5,3,2,1]=>1101001=>7
[8,7,5,4,6,3,2,1]=>1101111=>7
[8,7,4,5,6,3,2,1]=>1100111=>7
[8,6,5,4,7,3,2,1]=>1101111=>7
[8,5,6,4,7,3,2,1]=>1100111=>7
[8,6,4,5,7,3,2,1]=>1100111=>7
[8,5,4,6,7,3,2,1]=>1101011=>7
[8,4,5,6,7,3,2,1]=>1100011=>7
[7,6,5,4,8,3,2,1]=>1101111=>7
[6,7,5,4,8,3,2,1]=>1101011=>7
[7,5,6,4,8,3,2,1]=>1100111=>7
[6,5,7,4,8,3,2,1]=>1100111=>7
[5,6,7,4,8,3,2,1]=>1100011=>7
[7,6,4,5,8,3,2,1]=>1100111=>7
[6,7,4,5,8,3,2,1]=>1100011=>7
[7,5,4,6,8,3,2,1]=>1101011=>7
[7,4,5,6,8,3,2,1]=>1100011=>7
[6,5,4,7,8,3,2,1]=>1101101=>7
[5,6,4,7,8,3,2,1]=>1100101=>7
[6,4,5,7,8,3,2,1]=>1100101=>7
[5,4,6,7,8,3,2,1]=>1101001=>7
[4,5,6,7,8,3,2,1]=>1100001=>7
[8,7,6,5,3,4,2,1]=>1011111=>7
[7,8,6,5,3,4,2,1]=>1011101=>7
[8,6,7,5,3,4,2,1]=>1011011=>7
[7,6,8,5,3,4,2,1]=>1011011=>7
[8,7,5,6,3,4,2,1]=>1010111=>7
[7,8,5,6,3,4,2,1]=>1010101=>7
[8,5,6,7,3,4,2,1]=>1010011=>7
[7,6,5,8,3,4,2,1]=>1010111=>7
[6,7,5,8,3,4,2,1]=>1010011=>7
[6,5,7,8,3,4,2,1]=>1010101=>7
[5,6,7,8,3,4,2,1]=>1010001=>7
[8,7,6,4,3,5,2,1]=>1011111=>7
[7,8,6,4,3,5,2,1]=>1011101=>7
[8,6,7,4,3,5,2,1]=>1011011=>7
[7,6,8,4,3,5,2,1]=>1011011=>7
[6,7,8,4,3,5,2,1]=>1011001=>7
[8,7,6,3,4,5,2,1]=>1001111=>7
[7,8,6,3,4,5,2,1]=>1001101=>7
[8,6,7,3,4,5,2,1]=>1001011=>7
[7,6,8,3,4,5,2,1]=>1001011=>7
[6,7,8,3,4,5,2,1]=>1001001=>7
[8,7,5,4,3,6,2,1]=>1011111=>7
[7,8,5,4,3,6,2,1]=>1011101=>7
[8,7,4,5,3,6,2,1]=>1001111=>7
[8,7,5,3,4,6,2,1]=>1001111=>7
[7,8,5,3,4,6,2,1]=>1001101=>7
[8,7,4,3,5,6,2,1]=>1010111=>7
[8,7,3,4,5,6,2,1]=>1000111=>7
[7,8,3,4,5,6,2,1]=>1000101=>7
[8,6,5,4,3,7,2,1]=>1011111=>7
[8,6,4,5,3,7,2,1]=>1001111=>7
[8,6,4,3,5,7,2,1]=>1010111=>7
[8,5,4,3,6,7,2,1]=>1011011=>7
[8,5,3,4,6,7,2,1]=>1001011=>7
[8,4,3,5,6,7,2,1]=>1010011=>7
[8,3,4,5,6,7,2,1]=>1000011=>7
[7,6,5,4,3,8,2,1]=>1011111=>7
[6,7,5,4,3,8,2,1]=>1011011=>7
[7,5,6,4,3,8,2,1]=>1010111=>7
[6,5,7,4,3,8,2,1]=>1010111=>7
[5,6,7,4,3,8,2,1]=>1010011=>7
[6,7,4,5,3,8,2,1]=>1001011=>7
[7,5,4,6,3,8,2,1]=>1001111=>7
[7,4,5,6,3,8,2,1]=>1000111=>7
[6,5,4,7,3,8,2,1]=>1001111=>7
[6,4,5,7,3,8,2,1]=>1000111=>7
[5,4,6,7,3,8,2,1]=>1001011=>7
[4,5,6,7,3,8,2,1]=>1000011=>7
[7,6,5,3,4,8,2,1]=>1001111=>7
[7,6,4,3,5,8,2,1]=>1010111=>7
[7,6,3,4,5,8,2,1]=>1000111=>7
[7,5,4,3,6,8,2,1]=>1011011=>7
[7,5,3,4,6,8,2,1]=>1001011=>7
[7,3,4,5,6,8,2,1]=>1000011=>7
[6,5,4,3,7,8,2,1]=>1011101=>7
[4,5,6,3,7,8,2,1]=>1000101=>7
[6,5,3,4,7,8,2,1]=>1001101=>7
[6,3,4,5,7,8,2,1]=>1000101=>7
[5,4,3,6,7,8,2,1]=>1011001=>7
[5,3,4,6,7,8,2,1]=>1001001=>7
[4,3,5,6,7,8,2,1]=>1010001=>7
[3,4,5,6,7,8,2,1]=>1000001=>7
[8,7,6,5,4,2,3,1]=>0111111=>7
[7,8,6,5,4,2,3,1]=>0111101=>7
[8,6,7,5,4,2,3,1]=>0111011=>7
[7,6,8,5,4,2,3,1]=>0111011=>7
[8,7,5,6,4,2,3,1]=>0110111=>7
[8,6,5,7,4,2,3,1]=>0110111=>7
[8,5,6,7,4,2,3,1]=>0110011=>7
[7,6,5,8,4,2,3,1]=>0110111=>7
[6,7,5,8,4,2,3,1]=>0110011=>7
[7,5,6,8,4,2,3,1]=>0110011=>7
[5,6,7,8,4,2,3,1]=>0110001=>7
[8,7,6,4,5,2,3,1]=>0101111=>7
[8,6,7,4,5,2,3,1]=>0101011=>7
[7,6,8,4,5,2,3,1]=>0101011=>7
[6,7,8,4,5,2,3,1]=>0101001=>7
[8,7,5,4,6,2,3,1]=>0101111=>7
[8,7,4,5,6,2,3,1]=>0100111=>7
[7,8,4,5,6,2,3,1]=>0100101=>7
[8,6,5,4,7,2,3,1]=>0101111=>7
[8,5,6,4,7,2,3,1]=>0100111=>7
[8,6,4,5,7,2,3,1]=>0100111=>7
[8,4,5,6,7,2,3,1]=>0100011=>7
[7,6,5,4,8,2,3,1]=>0101111=>7
[7,5,6,4,8,2,3,1]=>0100111=>7
[6,5,7,4,8,2,3,1]=>0100111=>7
[6,7,4,5,8,2,3,1]=>0100011=>7
[4,5,6,7,8,2,3,1]=>0100001=>7
[8,7,6,5,3,2,4,1]=>0111111=>7
[7,8,6,5,3,2,4,1]=>0111101=>7
[8,6,7,5,3,2,4,1]=>0111011=>7
[7,6,8,5,3,2,4,1]=>0111011=>7
[6,7,8,5,3,2,4,1]=>0111001=>7
[8,7,5,6,3,2,4,1]=>0110111=>7
[8,6,5,7,3,2,4,1]=>0110111=>7
[8,5,6,7,3,2,4,1]=>0110011=>7
[7,6,5,8,3,2,4,1]=>0110111=>7
[6,7,5,8,3,2,4,1]=>0110011=>7
[5,6,7,8,3,2,4,1]=>0110001=>7
[8,7,6,5,2,3,4,1]=>0011111=>7
[8,6,7,5,2,3,4,1]=>0011011=>7
[7,6,8,5,2,3,4,1]=>0011011=>7
[6,7,8,5,2,3,4,1]=>0011001=>7
[8,7,5,6,2,3,4,1]=>0010111=>7
[7,8,5,6,2,3,4,1]=>0010101=>7
[8,6,5,7,2,3,4,1]=>0010111=>7
[8,5,6,7,2,3,4,1]=>0010011=>7
[7,6,5,8,2,3,4,1]=>0010111=>7
[6,7,5,8,2,3,4,1]=>0010011=>7
[6,5,7,8,2,3,4,1]=>0010101=>7
[5,6,7,8,2,3,4,1]=>0010001=>7
[8,7,6,4,3,2,5,1]=>0111111=>7
[7,8,6,4,3,2,5,1]=>0111101=>7
[8,6,7,4,3,2,5,1]=>0111011=>7
[7,6,8,4,3,2,5,1]=>0111011=>7
[6,7,8,4,3,2,5,1]=>0111001=>7
[8,7,6,3,4,2,5,1]=>0011111=>7
[7,8,6,3,4,2,5,1]=>0011101=>7
[8,6,7,3,4,2,5,1]=>0011011=>7
[7,6,8,3,4,2,5,1]=>0011011=>7
[6,7,8,3,4,2,5,1]=>0011001=>7
[8,7,6,4,2,3,5,1]=>0011111=>7
[8,6,7,4,2,3,5,1]=>0011011=>7
[7,6,8,4,2,3,5,1]=>0011011=>7
[6,7,8,4,2,3,5,1]=>0011001=>7
[8,7,6,3,2,4,5,1]=>0101111=>7
[7,8,6,3,2,4,5,1]=>0101101=>7
[8,6,7,3,2,4,5,1]=>0101011=>7
[6,7,8,3,2,4,5,1]=>0101001=>7
[8,7,6,2,3,4,5,1]=>0001111=>7
[7,8,6,2,3,4,5,1]=>0001101=>7
[8,6,7,2,3,4,5,1]=>0001011=>7
[7,6,8,2,3,4,5,1]=>0001011=>7
[6,7,8,2,3,4,5,1]=>0001001=>7
[8,7,5,4,3,2,6,1]=>0111111=>7
[7,8,5,4,3,2,6,1]=>0111101=>7
[8,7,5,3,4,2,6,1]=>0011111=>7
[7,8,5,3,4,2,6,1]=>0011101=>7
[8,7,4,3,5,2,6,1]=>0011111=>7
[7,8,4,3,5,2,6,1]=>0011101=>7
[8,7,5,4,2,3,6,1]=>0011111=>7
[8,7,5,3,2,4,6,1]=>0101111=>7
[8,7,4,3,2,5,6,1]=>0110111=>7
[7,8,4,3,2,5,6,1]=>0110101=>7
[7,8,3,4,2,5,6,1]=>0010101=>7
[7,8,4,2,3,5,6,1]=>0010101=>7
[7,8,3,2,4,5,6,1]=>0100101=>7
[8,7,2,3,4,5,6,1]=>0000111=>7
[7,8,2,3,4,5,6,1]=>0000101=>7
[8,6,5,4,3,2,7,1]=>0111111=>7
[8,5,6,4,3,2,7,1]=>0110111=>7
[8,6,4,5,3,2,7,1]=>0101111=>7
[8,5,4,6,3,2,7,1]=>0101111=>7
[8,6,5,3,4,2,7,1]=>0011111=>7
[8,5,6,3,4,2,7,1]=>0010111=>7
[8,6,4,3,5,2,7,1]=>0011111=>7
[8,6,3,4,5,2,7,1]=>0001111=>7
[8,5,4,3,6,2,7,1]=>0011111=>7
[8,4,5,3,6,2,7,1]=>0001111=>7
[8,4,3,5,6,2,7,1]=>0010111=>7
[8,3,4,5,6,2,7,1]=>0000111=>7
[8,6,5,4,2,3,7,1]=>0011111=>7
[8,5,6,4,2,3,7,1]=>0010111=>7
[8,6,4,5,2,3,7,1]=>0001111=>7
[8,6,5,3,2,4,7,1]=>0101111=>7
[8,6,4,3,2,5,7,1]=>0110111=>7
[8,6,4,2,3,5,7,1]=>0010111=>7
[8,5,4,3,2,6,7,1]=>0111011=>7
[8,4,5,3,2,6,7,1]=>0101011=>7
[8,5,3,4,2,6,7,1]=>0011011=>7
[8,3,4,5,2,6,7,1]=>0001011=>7
[8,5,4,2,3,6,7,1]=>0011011=>7
[8,4,5,2,3,6,7,1]=>0001011=>7
[8,5,2,3,4,6,7,1]=>0001011=>7
[8,4,3,2,5,6,7,1]=>0110011=>7
[8,3,4,2,5,6,7,1]=>0010011=>7
[8,4,2,3,5,6,7,1]=>0010011=>7
[8,3,2,4,5,6,7,1]=>0100011=>7
[8,2,3,4,5,6,7,1]=>0000011=>7
[7,6,5,4,3,2,8,1]=>0111111=>7
[6,7,5,4,3,2,8,1]=>0111011=>7
[7,5,6,4,3,2,8,1]=>0110111=>7
[6,5,7,4,3,2,8,1]=>0110111=>7
[5,6,7,4,3,2,8,1]=>0110011=>7
[7,6,4,5,3,2,8,1]=>0101111=>7
[6,7,4,5,3,2,8,1]=>0101011=>7
[7,4,5,6,3,2,8,1]=>0100111=>7
[6,5,4,7,3,2,8,1]=>0101111=>7
[6,4,5,7,3,2,8,1]=>0100111=>7
[4,5,6,7,3,2,8,1]=>0100011=>7
[7,6,5,3,4,2,8,1]=>0011111=>7
[7,5,6,3,4,2,8,1]=>0010111=>7
[6,5,7,3,4,2,8,1]=>0010111=>7
[5,6,7,3,4,2,8,1]=>0010011=>7
[7,6,4,3,5,2,8,1]=>0011111=>7
[7,6,3,4,5,2,8,1]=>0001111=>7
[7,5,4,3,6,2,8,1]=>0011111=>7
[7,4,5,3,6,2,8,1]=>0001111=>7
[7,5,3,4,6,2,8,1]=>0001111=>7
[7,3,4,5,6,2,8,1]=>0000111=>7
[6,5,4,3,7,2,8,1]=>0011111=>7
[6,4,5,3,7,2,8,1]=>0001111=>7
[5,4,6,3,7,2,8,1]=>0001111=>7
[4,5,6,3,7,2,8,1]=>0000111=>7
[6,5,3,4,7,2,8,1]=>0001111=>7
[5,6,3,4,7,2,8,1]=>0000111=>7
[6,4,3,5,7,2,8,1]=>0010111=>7
[6,3,4,5,7,2,8,1]=>0000111=>7
[5,4,3,6,7,2,8,1]=>0011011=>7
[4,5,3,6,7,2,8,1]=>0001011=>7
[4,3,5,6,7,2,8,1]=>0010011=>7
[3,4,5,6,7,2,8,1]=>0000011=>7
[7,6,5,4,2,3,8,1]=>0011111=>7
[6,7,5,4,2,3,8,1]=>0011011=>7
[7,5,6,4,2,3,8,1]=>0010111=>7
[6,5,7,4,2,3,8,1]=>0010111=>7
[5,6,7,4,2,3,8,1]=>0010011=>7
[7,6,4,5,2,3,8,1]=>0001111=>7
[6,7,4,5,2,3,8,1]=>0001011=>7
[7,5,4,6,2,3,8,1]=>0001111=>7
[7,4,5,6,2,3,8,1]=>0000111=>7
[6,5,4,7,2,3,8,1]=>0001111=>7
[5,6,4,7,2,3,8,1]=>0000111=>7
[6,4,5,7,2,3,8,1]=>0000111=>7
[5,4,6,7,2,3,8,1]=>0001011=>7
[4,5,6,7,2,3,8,1]=>0000011=>7
[7,6,5,3,2,4,8,1]=>0101111=>7
[6,7,5,3,2,4,8,1]=>0101011=>7
[6,5,7,3,2,4,8,1]=>0100111=>7
[7,6,5,2,3,4,8,1]=>0001111=>7
[7,5,6,2,3,4,8,1]=>0000111=>7
[5,6,7,2,3,4,8,1]=>0000011=>7
[6,7,4,3,2,5,8,1]=>0110011=>7
[7,6,4,2,3,5,8,1]=>0010111=>7
[7,6,3,2,4,5,8,1]=>0100111=>7
[6,7,3,2,4,5,8,1]=>0100011=>7
[7,6,2,3,4,5,8,1]=>0000111=>7
[6,7,2,3,4,5,8,1]=>0000011=>7
[7,5,4,3,2,6,8,1]=>0111011=>7
[7,4,3,5,2,6,8,1]=>0011011=>7
[7,5,4,2,3,6,8,1]=>0011011=>7
[7,4,5,2,3,6,8,1]=>0001011=>7
[7,5,3,2,4,6,8,1]=>0101011=>7
[7,5,2,3,4,6,8,1]=>0001011=>7
[7,4,3,2,5,6,8,1]=>0110011=>7
[7,4,2,3,5,6,8,1]=>0010011=>7
[7,3,2,4,5,6,8,1]=>0100011=>7
[7,2,3,4,5,6,8,1]=>0000011=>7
[6,5,4,3,2,7,8,1]=>0111101=>7
[5,4,6,3,2,7,8,1]=>0101101=>7
[4,5,6,3,2,7,8,1]=>0100101=>7
[6,5,3,4,2,7,8,1]=>0011101=>7
[6,3,4,5,2,7,8,1]=>0001101=>7
[5,4,3,6,2,7,8,1]=>0011101=>7
[4,3,5,6,2,7,8,1]=>0010101=>7
[3,4,5,6,2,7,8,1]=>0000101=>7
[6,5,4,2,3,7,8,1]=>0011101=>7
[5,6,4,2,3,7,8,1]=>0010101=>7
[6,4,5,2,3,7,8,1]=>0001101=>7
[5,4,6,2,3,7,8,1]=>0001101=>7
[4,5,6,2,3,7,8,1]=>0000101=>7
[6,5,3,2,4,7,8,1]=>0101101=>7
[6,5,2,3,4,7,8,1]=>0001101=>7
[6,2,3,4,5,7,8,1]=>0000101=>7
[5,4,3,2,6,7,8,1]=>0111001=>7
[4,5,3,2,6,7,8,1]=>0101001=>7
[5,3,4,2,6,7,8,1]=>0011001=>7
[4,3,5,2,6,7,8,1]=>0011001=>7
[3,4,5,2,6,7,8,1]=>0001001=>7
[5,4,2,3,6,7,8,1]=>0011001=>7
[4,5,2,3,6,7,8,1]=>0001001=>7
[5,3,2,4,6,7,8,1]=>0101001=>7
[5,2,3,4,6,7,8,1]=>0001001=>7
[4,3,2,5,6,7,8,1]=>0110001=>7
[3,4,2,5,6,7,8,1]=>0010001=>7
[4,2,3,5,6,7,8,1]=>0010001=>7
[3,2,4,5,6,7,8,1]=>0100001=>7
[2,3,4,5,6,7,8,1]=>0000001=>7
[8,7,6,5,4,3,1,2]=>0111111=>7
[7,8,6,5,4,3,1,2]=>0111101=>7
[8,6,7,5,4,3,1,2]=>0111011=>7
[7,6,8,5,4,3,1,2]=>0111011=>7
[6,7,8,5,4,3,1,2]=>0111001=>7
[8,7,5,6,4,3,1,2]=>0110111=>7
[7,8,5,6,4,3,1,2]=>0110101=>7
[8,6,5,7,4,3,1,2]=>0110111=>7
[7,6,5,8,4,3,1,2]=>0110111=>7
[6,7,5,8,4,3,1,2]=>0110011=>7
[7,5,6,8,4,3,1,2]=>0110011=>7
[6,5,7,8,4,3,1,2]=>0110101=>7
[5,6,7,8,4,3,1,2]=>0110001=>7
[8,7,6,4,5,3,1,2]=>0101111=>7
[7,8,6,4,5,3,1,2]=>0101101=>7
[8,6,7,4,5,3,1,2]=>0101011=>7
[6,7,8,4,5,3,1,2]=>0101001=>7
[8,7,5,4,6,3,1,2]=>0101111=>7
[7,8,4,5,6,3,1,2]=>0100101=>7
[8,5,6,4,7,3,1,2]=>0100111=>7
[8,6,4,5,7,3,1,2]=>0100111=>7
[8,5,4,6,7,3,1,2]=>0101011=>7
[7,6,5,4,8,3,1,2]=>0101111=>7
[7,5,6,4,8,3,1,2]=>0100111=>7
[6,5,7,4,8,3,1,2]=>0100111=>7
[7,6,4,5,8,3,1,2]=>0100111=>7
[6,7,4,5,8,3,1,2]=>0100011=>7
[6,5,4,7,8,3,1,2]=>0101101=>7
[5,6,4,7,8,3,1,2]=>0100101=>7
[5,4,6,7,8,3,1,2]=>0101001=>7
[4,5,6,7,8,3,1,2]=>0100001=>7
[8,7,6,5,3,4,1,2]=>0011111=>7
[7,8,6,5,3,4,1,2]=>0011101=>7
[7,6,8,5,3,4,1,2]=>0011011=>7
[6,7,8,5,3,4,1,2]=>0011001=>7
[8,7,5,6,3,4,1,2]=>0010111=>7
[7,8,5,6,3,4,1,2]=>0010101=>7
[8,6,5,7,3,4,1,2]=>0010111=>7
[8,5,6,7,3,4,1,2]=>0010011=>7
[7,6,5,8,3,4,1,2]=>0010111=>7
[6,7,5,8,3,4,1,2]=>0010011=>7
[7,5,6,8,3,4,1,2]=>0010011=>7
[6,5,7,8,3,4,1,2]=>0010101=>7
[5,6,7,8,3,4,1,2]=>0010001=>7
[6,7,8,4,3,5,1,2]=>0011001=>7
[8,7,6,3,4,5,1,2]=>0001111=>7
[7,8,6,3,4,5,1,2]=>0001101=>7
[8,6,7,3,4,5,1,2]=>0001011=>7
[6,7,8,3,4,5,1,2]=>0001001=>7
[7,8,5,4,3,6,1,2]=>0011101=>7
[8,7,4,5,3,6,1,2]=>0001111=>7
[7,8,4,5,3,6,1,2]=>0001101=>7
[7,8,5,3,4,6,1,2]=>0001101=>7
[8,7,4,3,5,6,1,2]=>0010111=>7
[7,8,4,3,5,6,1,2]=>0010101=>7
[8,7,3,4,5,6,1,2]=>0000111=>7
[7,8,3,4,5,6,1,2]=>0000101=>7
[8,6,5,4,3,7,1,2]=>0011111=>7
[8,5,4,6,3,7,1,2]=>0001111=>7
[8,5,4,3,6,7,1,2]=>0011011=>7
[8,5,3,4,6,7,1,2]=>0001011=>7
[8,4,3,5,6,7,1,2]=>0010011=>7
[8,3,4,5,6,7,1,2]=>0000011=>7
[7,6,5,4,3,8,1,2]=>0011111=>7
[7,5,6,4,3,8,1,2]=>0010111=>7
[6,5,7,4,3,8,1,2]=>0010111=>7
[5,6,7,4,3,8,1,2]=>0010011=>7
[6,7,4,5,3,8,1,2]=>0001011=>7
[7,5,4,6,3,8,1,2]=>0001111=>7
[6,5,4,7,3,8,1,2]=>0001111=>7
[5,6,4,7,3,8,1,2]=>0000111=>7
[5,4,6,7,3,8,1,2]=>0001011=>7
[4,5,6,7,3,8,1,2]=>0000011=>7
[7,6,5,3,4,8,1,2]=>0001111=>7
[7,5,6,3,4,8,1,2]=>0000111=>7
[5,6,7,3,4,8,1,2]=>0000011=>7
[7,6,4,3,5,8,1,2]=>0010111=>7
[7,6,3,4,5,8,1,2]=>0000111=>7
[7,5,4,3,6,8,1,2]=>0011011=>7
[7,4,5,3,6,8,1,2]=>0001011=>7
[7,5,3,4,6,8,1,2]=>0001011=>7
[7,3,4,5,6,8,1,2]=>0000011=>7
[6,5,4,3,7,8,1,2]=>0011101=>7
[5,6,4,3,7,8,1,2]=>0010101=>7
[5,4,6,3,7,8,1,2]=>0001101=>7
[4,5,6,3,7,8,1,2]=>0000101=>7
[6,5,3,4,7,8,1,2]=>0001101=>7
[5,6,3,4,7,8,1,2]=>0000101=>7
[6,4,3,5,7,8,1,2]=>0010101=>7
[6,3,4,5,7,8,1,2]=>0000101=>7
[5,4,3,6,7,8,1,2]=>0011001=>7
[4,5,3,6,7,8,1,2]=>0001001=>7
[5,3,4,6,7,8,1,2]=>0001001=>7
[4,3,5,6,7,8,1,2]=>0010001=>7
[3,4,5,6,7,8,1,2]=>0000001=>7
[8,7,6,5,4,2,1,3]=>1011111=>7
[7,8,6,5,4,2,1,3]=>1011101=>7
[8,6,7,5,4,2,1,3]=>1011011=>7
[7,6,8,5,4,2,1,3]=>1011011=>7
[6,7,8,5,4,2,1,3]=>1011001=>7
[8,7,5,6,4,2,1,3]=>1010111=>7
[7,8,5,6,4,2,1,3]=>1010101=>7
[8,6,5,7,4,2,1,3]=>1010111=>7
[7,6,5,8,4,2,1,3]=>1010111=>7
[6,7,5,8,4,2,1,3]=>1010011=>7
[7,5,6,8,4,2,1,3]=>1010011=>7
[6,5,7,8,4,2,1,3]=>1010101=>7
[5,6,7,8,4,2,1,3]=>1010001=>7
[8,7,6,4,5,2,1,3]=>1001111=>7
[8,6,7,4,5,2,1,3]=>1001011=>7
[7,6,8,4,5,2,1,3]=>1001011=>7
[8,7,4,5,6,2,1,3]=>1000111=>7
[8,6,5,4,7,2,1,3]=>1001111=>7
[8,6,4,5,7,2,1,3]=>1000111=>7
[8,4,5,6,7,2,1,3]=>1000011=>7
[7,6,5,4,8,2,1,3]=>1001111=>7
[6,7,5,4,8,2,1,3]=>1001011=>7
[7,5,6,4,8,2,1,3]=>1000111=>7
[6,5,7,4,8,2,1,3]=>1000111=>7
[5,6,7,4,8,2,1,3]=>1000011=>7
[7,6,4,5,8,2,1,3]=>1000111=>7
[7,4,5,6,8,2,1,3]=>1000011=>7
[5,4,6,7,8,2,1,3]=>1001001=>7
[4,5,6,7,8,2,1,3]=>1000001=>7
[8,7,6,5,4,1,2,3]=>0011111=>7
[7,8,6,5,4,1,2,3]=>0011101=>7
[7,6,8,5,4,1,2,3]=>0011011=>7
[6,7,8,5,4,1,2,3]=>0011001=>7
[7,8,5,6,4,1,2,3]=>0010101=>7
[8,6,5,7,4,1,2,3]=>0010111=>7
[8,5,6,7,4,1,2,3]=>0010011=>7
[7,6,5,8,4,1,2,3]=>0010111=>7
[6,7,5,8,4,1,2,3]=>0010011=>7
[7,5,6,8,4,1,2,3]=>0010011=>7
[6,5,7,8,4,1,2,3]=>0010101=>7
[5,6,7,8,4,1,2,3]=>0010001=>7
[8,7,6,4,5,1,2,3]=>0001111=>7
[8,6,7,4,5,1,2,3]=>0001011=>7
[6,7,8,4,5,1,2,3]=>0001001=>7
[8,7,5,4,6,1,2,3]=>0001111=>7
[7,8,5,4,6,1,2,3]=>0001101=>7
[8,7,4,5,6,1,2,3]=>0000111=>7
[7,8,4,5,6,1,2,3]=>0000101=>7
[8,6,5,4,7,1,2,3]=>0001111=>7
[8,5,6,4,7,1,2,3]=>0000111=>7
[8,6,4,5,7,1,2,3]=>0000111=>7
[8,5,4,6,7,1,2,3]=>0001011=>7
[8,4,5,6,7,1,2,3]=>0000011=>7
[7,6,5,4,8,1,2,3]=>0001111=>7
[6,7,5,4,8,1,2,3]=>0001011=>7
[7,5,6,4,8,1,2,3]=>0000111=>7
[6,5,7,4,8,1,2,3]=>0000111=>7
[5,6,7,4,8,1,2,3]=>0000011=>7
[7,6,4,5,8,1,2,3]=>0000111=>7
[6,7,4,5,8,1,2,3]=>0000011=>7
[7,5,4,6,8,1,2,3]=>0001011=>7
[7,4,5,6,8,1,2,3]=>0000011=>7
[6,5,4,7,8,1,2,3]=>0001101=>7
[5,6,4,7,8,1,2,3]=>0000101=>7
[6,4,5,7,8,1,2,3]=>0000101=>7
[5,4,6,7,8,1,2,3]=>0001001=>7
[4,5,6,7,8,1,2,3]=>0000001=>7
[8,7,6,5,3,2,1,4]=>1101111=>7
[7,8,6,5,3,2,1,4]=>1101101=>7
[8,6,7,5,3,2,1,4]=>1101011=>7
[7,6,8,5,3,2,1,4]=>1101011=>7
[6,7,8,5,3,2,1,4]=>1101001=>7
[8,7,5,6,3,2,1,4]=>1100111=>7
[7,8,5,6,3,2,1,4]=>1100101=>7
[8,6,5,7,3,2,1,4]=>1100111=>7
[8,5,6,7,3,2,1,4]=>1100011=>7
[7,6,5,8,3,2,1,4]=>1100111=>7
[6,7,5,8,3,2,1,4]=>1100011=>7
[7,5,6,8,3,2,1,4]=>1100011=>7
[6,5,7,8,3,2,1,4]=>1100101=>7
[5,6,7,8,3,2,1,4]=>1100001=>7
[8,7,6,5,2,3,1,4]=>0101111=>7
[7,8,6,5,2,3,1,4]=>0101101=>7
[8,6,7,5,2,3,1,4]=>0101011=>7
[7,6,8,5,2,3,1,4]=>0101011=>7
[6,7,8,5,2,3,1,4]=>0101001=>7
[8,7,5,6,2,3,1,4]=>0100111=>7
[7,8,5,6,2,3,1,4]=>0100101=>7
[8,6,5,7,2,3,1,4]=>0100111=>7
[8,5,6,7,2,3,1,4]=>0100011=>7
[7,6,5,8,2,3,1,4]=>0100111=>7
[6,7,5,8,2,3,1,4]=>0100011=>7
[7,5,6,8,2,3,1,4]=>0100011=>7
[6,5,7,8,2,3,1,4]=>0100101=>7
[5,6,7,8,2,3,1,4]=>0100001=>7
[8,7,6,5,3,1,2,4]=>0101111=>7
[7,8,6,5,3,1,2,4]=>0101101=>7
[8,6,7,5,3,1,2,4]=>0101011=>7
[7,6,8,5,3,1,2,4]=>0101011=>7
[8,7,5,6,3,1,2,4]=>0100111=>7
[7,8,5,6,3,1,2,4]=>0100101=>7
[8,6,5,7,3,1,2,4]=>0100111=>7
[7,6,5,8,3,1,2,4]=>0100111=>7
[6,7,5,8,3,1,2,4]=>0100011=>7
[7,5,6,8,3,1,2,4]=>0100011=>7
[6,5,7,8,3,1,2,4]=>0100101=>7
[5,6,7,8,3,1,2,4]=>0100001=>7
[8,7,6,5,2,1,3,4]=>1001111=>7
[7,8,6,5,2,1,3,4]=>1001101=>7
[7,6,8,5,2,1,3,4]=>1001011=>7
[6,7,8,5,2,1,3,4]=>1001001=>7
[8,7,5,6,2,1,3,4]=>1000111=>7
[7,8,5,6,2,1,3,4]=>1000101=>7
[8,6,5,7,2,1,3,4]=>1000111=>7
[8,5,6,7,2,1,3,4]=>1000011=>7
[7,6,5,8,2,1,3,4]=>1000111=>7
[6,7,5,8,2,1,3,4]=>1000011=>7
[7,5,6,8,2,1,3,4]=>1000011=>7
[6,5,7,8,2,1,3,4]=>1000101=>7
[5,6,7,8,2,1,3,4]=>1000001=>7
[8,7,6,5,1,2,3,4]=>0001111=>7
[7,8,6,5,1,2,3,4]=>0001101=>7
[8,6,7,5,1,2,3,4]=>0001011=>7
[7,6,8,5,1,2,3,4]=>0001011=>7
[6,7,8,5,1,2,3,4]=>0001001=>7
[8,7,5,6,1,2,3,4]=>0000111=>7
[7,8,5,6,1,2,3,4]=>0000101=>7
[8,6,5,7,1,2,3,4]=>0000111=>7
[8,5,6,7,1,2,3,4]=>0000011=>7
[7,6,5,8,1,2,3,4]=>0000111=>7
[6,7,5,8,1,2,3,4]=>0000011=>7
[7,5,6,8,1,2,3,4]=>0000011=>7
[6,5,7,8,1,2,3,4]=>0000101=>7
[5,6,7,8,1,2,3,4]=>0000001=>7
[8,7,6,4,3,2,1,5]=>1110111=>7
[7,8,6,4,3,2,1,5]=>1110101=>7
[8,6,7,4,3,2,1,5]=>1110011=>7
[7,6,8,4,3,2,1,5]=>1110011=>7
[6,7,8,4,3,2,1,5]=>1110001=>7
[8,7,6,3,4,2,1,5]=>1010111=>7
[7,8,6,3,4,2,1,5]=>1010101=>7
[6,7,8,3,4,2,1,5]=>1010001=>7
[8,7,6,4,2,3,1,5]=>0110111=>7
[8,6,7,4,2,3,1,5]=>0110011=>7
[7,6,8,4,2,3,1,5]=>0110011=>7
[6,7,8,4,2,3,1,5]=>0110001=>7
[8,7,6,3,2,4,1,5]=>0110111=>7
[8,6,7,3,2,4,1,5]=>0110011=>7
[6,7,8,3,2,4,1,5]=>0110001=>7
[8,7,6,2,3,4,1,5]=>0010111=>7
[8,6,7,2,3,4,1,5]=>0010011=>7
[7,6,8,2,3,4,1,5]=>0010011=>7
[6,7,8,2,3,4,1,5]=>0010001=>7
[8,7,6,4,3,1,2,5]=>0110111=>7
[6,7,8,4,3,1,2,5]=>0110001=>7
[8,7,6,3,4,1,2,5]=>0010111=>7
[7,8,6,3,4,1,2,5]=>0010101=>7
[8,6,7,3,4,1,2,5]=>0010011=>7
[6,7,8,3,4,1,2,5]=>0010001=>7
[8,7,6,4,2,1,3,5]=>1010111=>7
[7,8,6,4,2,1,3,5]=>1010101=>7
[8,6,7,4,2,1,3,5]=>1010011=>7
[6,7,8,4,2,1,3,5]=>1010001=>7
[8,7,6,4,1,2,3,5]=>0010111=>7
[7,8,6,4,1,2,3,5]=>0010101=>7
[7,6,8,4,1,2,3,5]=>0010011=>7
[6,7,8,4,1,2,3,5]=>0010001=>7
[8,7,6,3,2,1,4,5]=>1100111=>7
[7,8,6,3,2,1,4,5]=>1100101=>7
[8,6,7,3,2,1,4,5]=>1100011=>7
[7,6,8,3,2,1,4,5]=>1100011=>7
[6,7,8,3,2,1,4,5]=>1100001=>7
[8,7,6,2,3,1,4,5]=>0100111=>7
[7,8,6,2,3,1,4,5]=>0100101=>7
[8,6,7,2,3,1,4,5]=>0100011=>7
[7,6,8,2,3,1,4,5]=>0100011=>7
[6,7,8,2,3,1,4,5]=>0100001=>7
[8,7,6,3,1,2,4,5]=>0100111=>7
[7,8,6,3,1,2,4,5]=>0100101=>7
[8,6,7,3,1,2,4,5]=>0100011=>7
[7,6,8,3,1,2,4,5]=>0100011=>7
[6,7,8,3,1,2,4,5]=>0100001=>7
[8,7,6,2,1,3,4,5]=>1000111=>7
[7,8,6,2,1,3,4,5]=>1000101=>7
[8,6,7,2,1,3,4,5]=>1000011=>7
[6,7,8,2,1,3,4,5]=>1000001=>7
[8,7,6,1,2,3,4,5]=>0000111=>7
[7,8,6,1,2,3,4,5]=>0000101=>7
[8,6,7,1,2,3,4,5]=>0000011=>7
[7,6,8,1,2,3,4,5]=>0000011=>7
[6,7,8,1,2,3,4,5]=>0000001=>7
[8,7,5,4,3,2,1,6]=>1111011=>7
[7,8,5,4,3,2,1,6]=>1111001=>7
[8,7,4,5,3,2,1,6]=>1101011=>7
[7,8,4,5,3,2,1,6]=>1101001=>7
[8,7,5,3,4,2,1,6]=>1011011=>7
[8,7,4,3,5,2,1,6]=>1011011=>7
[8,7,3,4,5,2,1,6]=>1001011=>7
[7,8,3,4,5,2,1,6]=>1001001=>7
[8,7,4,5,2,3,1,6]=>0101011=>7
[7,8,4,5,2,3,1,6]=>0101001=>7
[8,7,5,3,2,4,1,6]=>0111011=>7
[7,8,5,2,3,4,1,6]=>0011001=>7
[8,7,4,3,2,5,1,6]=>0111011=>7
[7,8,4,3,2,5,1,6]=>0111001=>7
[8,7,3,4,2,5,1,6]=>0011011=>7
[7,8,3,4,2,5,1,6]=>0011001=>7
[8,7,2,3,4,5,1,6]=>0001011=>7
[7,8,2,3,4,5,1,6]=>0001001=>7
[8,7,5,4,3,1,2,6]=>0111011=>7
[7,8,5,4,3,1,2,6]=>0111001=>7
[8,7,5,3,4,1,2,6]=>0011011=>7
[7,8,5,3,4,1,2,6]=>0011001=>7
[8,7,3,4,5,1,2,6]=>0001011=>7
[7,8,3,4,5,1,2,6]=>0001001=>7
[7,8,5,4,2,1,3,6]=>1011001=>7
[8,7,5,4,1,2,3,6]=>0011011=>7
[7,8,5,4,1,2,3,6]=>0011001=>7
[8,7,4,5,1,2,3,6]=>0001011=>7
[7,8,4,5,1,2,3,6]=>0001001=>7
[8,7,5,3,2,1,4,6]=>1101011=>7
[7,8,5,3,2,1,4,6]=>1101001=>7
[8,7,5,2,3,1,4,6]=>0101011=>7
[8,7,5,3,1,2,4,6]=>0101011=>7
[7,8,5,3,1,2,4,6]=>0101001=>7
[8,7,5,2,1,3,4,6]=>1001011=>7
[7,8,5,2,1,3,4,6]=>1001001=>7
[8,7,5,1,2,3,4,6]=>0001011=>7
[7,8,5,1,2,3,4,6]=>0001001=>7
[8,7,4,3,2,1,5,6]=>1110011=>7
[7,8,4,3,2,1,5,6]=>1110001=>7
[8,7,3,4,2,1,5,6]=>1010011=>7
[7,8,3,4,2,1,5,6]=>1010001=>7
[7,8,4,2,3,1,5,6]=>0110001=>7
[8,7,3,2,4,1,5,6]=>0110011=>7
[7,8,3,2,4,1,5,6]=>0110001=>7
[8,7,2,3,4,1,5,6]=>0010011=>7
[7,8,2,3,4,1,5,6]=>0010001=>7
[7,8,4,3,1,2,5,6]=>0110001=>7
[8,7,3,4,1,2,5,6]=>0010011=>7
[7,8,3,4,1,2,5,6]=>0010001=>7
[8,7,4,2,1,3,5,6]=>1010011=>7
[7,8,4,2,1,3,5,6]=>1010001=>7
[8,7,4,1,2,3,5,6]=>0010011=>7
[7,8,4,1,2,3,5,6]=>0010001=>7
[8,7,3,2,1,4,5,6]=>1100011=>7
[7,8,3,2,1,4,5,6]=>1100001=>7
[8,7,2,3,1,4,5,6]=>0100011=>7
[7,8,2,3,1,4,5,6]=>0100001=>7
[7,8,3,1,2,4,5,6]=>0100001=>7
[8,7,2,1,3,4,5,6]=>1000011=>7
[7,8,2,1,3,4,5,6]=>1000001=>7
[8,7,1,2,3,4,5,6]=>0000011=>7
[7,8,1,2,3,4,5,6]=>0000001=>7
[8,6,5,4,3,2,1,7]=>1111101=>7
[8,5,6,4,3,2,1,7]=>1110101=>7
[8,6,4,5,3,2,1,7]=>1101101=>7
[8,5,4,6,3,2,1,7]=>1101101=>7
[8,4,5,6,3,2,1,7]=>1100101=>7
[8,6,5,3,4,2,1,7]=>1011101=>7
[8,5,6,3,4,2,1,7]=>1010101=>7
[8,6,4,3,5,2,1,7]=>1011101=>7
[8,4,5,3,6,2,1,7]=>1001101=>7
[8,4,3,5,6,2,1,7]=>1010101=>7
[8,3,4,5,6,2,1,7]=>1000101=>7
[8,6,5,4,2,3,1,7]=>0111101=>7
[8,5,6,4,2,3,1,7]=>0110101=>7
[8,6,4,5,2,3,1,7]=>0101101=>7
[8,4,5,6,2,3,1,7]=>0100101=>7
[8,6,5,3,2,4,1,7]=>0111101=>7
[8,6,5,2,3,4,1,7]=>0011101=>7
[8,5,6,2,3,4,1,7]=>0010101=>7
[8,6,4,3,2,5,1,7]=>0111101=>7
[8,6,4,2,3,5,1,7]=>0011101=>7
[8,6,3,2,4,5,1,7]=>0101101=>7
[8,5,4,3,2,6,1,7]=>0111101=>7
[8,4,3,5,2,6,1,7]=>0011101=>7
[8,5,4,2,3,6,1,7]=>0011101=>7
[8,4,5,2,3,6,1,7]=>0001101=>7
[8,5,3,2,4,6,1,7]=>0101101=>7
[8,5,2,3,4,6,1,7]=>0001101=>7
[8,3,4,2,5,6,1,7]=>0010101=>7
[8,3,2,4,5,6,1,7]=>0100101=>7
[8,2,3,4,5,6,1,7]=>0000101=>7
[8,6,5,4,3,1,2,7]=>0111101=>7
[8,6,4,5,3,1,2,7]=>0101101=>7
[8,6,5,3,4,1,2,7]=>0011101=>7
[8,5,6,3,4,1,2,7]=>0010101=>7
[8,6,3,4,5,1,2,7]=>0001101=>7
[8,5,4,3,6,1,2,7]=>0011101=>7
[8,4,5,3,6,1,2,7]=>0001101=>7
[8,5,3,4,6,1,2,7]=>0001101=>7
[8,4,3,5,6,1,2,7]=>0010101=>7
[8,3,4,5,6,1,2,7]=>0000101=>7
[8,6,5,4,2,1,3,7]=>1011101=>7
[8,5,6,4,2,1,3,7]=>1010101=>7
[8,6,4,5,2,1,3,7]=>1001101=>7
[8,4,5,6,2,1,3,7]=>1000101=>7
[8,6,5,4,1,2,3,7]=>0011101=>7
[8,5,6,4,1,2,3,7]=>0010101=>7
[8,6,4,5,1,2,3,7]=>0001101=>7
[8,4,5,6,1,2,3,7]=>0000101=>7
[8,6,5,3,2,1,4,7]=>1101101=>7
[8,5,6,3,2,1,4,7]=>1100101=>7
[8,6,5,2,3,1,4,7]=>0101101=>7
[8,5,6,2,3,1,4,7]=>0100101=>7
[8,5,6,3,1,2,4,7]=>0100101=>7
[8,6,5,2,1,3,4,7]=>1001101=>7
[8,5,6,2,1,3,4,7]=>1000101=>7
[8,6,5,1,2,3,4,7]=>0001101=>7
[8,5,6,1,2,3,4,7]=>0000101=>7
[8,6,4,3,2,1,5,7]=>1110101=>7
[8,6,3,4,2,1,5,7]=>1010101=>7
[8,6,4,2,3,1,5,7]=>0110101=>7
[8,6,3,2,4,1,5,7]=>0110101=>7
[8,6,2,3,4,1,5,7]=>0010101=>7
[8,6,4,3,1,2,5,7]=>0110101=>7
[8,6,3,4,1,2,5,7]=>0010101=>7
[8,6,4,2,1,3,5,7]=>1010101=>7
[8,6,3,2,1,4,5,7]=>1100101=>7
[8,6,1,2,3,4,5,7]=>0000101=>7
[8,5,4,3,2,1,6,7]=>1111001=>7
[8,4,5,3,2,1,6,7]=>1101001=>7
[8,4,3,5,2,1,6,7]=>1011001=>7
[8,3,4,5,2,1,6,7]=>1001001=>7
[8,4,5,2,3,1,6,7]=>0101001=>7
[8,5,2,3,4,1,6,7]=>0011001=>7
[8,4,2,3,5,1,6,7]=>0011001=>7
[8,2,3,4,5,1,6,7]=>0001001=>7
[8,5,3,4,1,2,6,7]=>0011001=>7
[8,3,4,5,1,2,6,7]=>0001001=>7
[8,5,4,2,1,3,6,7]=>1011001=>7
[8,5,4,1,2,3,6,7]=>0011001=>7
[8,4,5,1,2,3,6,7]=>0001001=>7
[8,5,3,2,1,4,6,7]=>1101001=>7
[8,5,3,1,2,4,6,7]=>0101001=>7
[8,5,2,1,3,4,6,7]=>1001001=>7
[8,5,1,2,3,4,6,7]=>0001001=>7
[8,4,3,2,1,5,6,7]=>1110001=>7
[8,3,4,2,1,5,6,7]=>1010001=>7
[8,4,2,3,1,5,6,7]=>0110001=>7
[8,2,3,4,1,5,6,7]=>0010001=>7
[8,3,4,1,2,5,6,7]=>0010001=>7
[8,4,2,1,3,5,6,7]=>1010001=>7
[8,4,1,2,3,5,6,7]=>0010001=>7
[8,3,2,1,4,5,6,7]=>1100001=>7
[8,2,3,1,4,5,6,7]=>0100001=>7
[8,3,1,2,4,5,6,7]=>0100001=>7
[8,2,1,3,4,5,6,7]=>1000001=>7
[8,1,2,3,4,5,6,7]=>0000001=>7
[7,6,5,4,3,2,1,8]=>1111110=>7
[6,7,5,4,3,2,1,8]=>1111010=>7
[7,5,6,4,3,2,1,8]=>1110110=>7
[6,5,7,4,3,2,1,8]=>1110110=>7
[5,6,7,4,3,2,1,8]=>1110010=>7
[7,6,4,5,3,2,1,8]=>1101110=>7
[6,7,4,5,3,2,1,8]=>1101010=>7
[7,5,4,6,3,2,1,8]=>1101110=>7
[7,4,5,6,3,2,1,8]=>1100110=>7
[6,5,4,7,3,2,1,8]=>1101110=>7
[5,6,4,7,3,2,1,8]=>1100110=>7
[5,4,6,7,3,2,1,8]=>1101010=>7
[4,5,6,7,3,2,1,8]=>1100010=>7
[7,6,5,3,4,2,1,8]=>1011110=>7
[6,7,5,3,4,2,1,8]=>1011010=>7
[7,5,6,3,4,2,1,8]=>1010110=>7
[6,5,7,3,4,2,1,8]=>1010110=>7
[5,6,7,3,4,2,1,8]=>1010010=>7
[7,6,4,3,5,2,1,8]=>1011110=>7
[6,7,4,3,5,2,1,8]=>1011010=>7
[7,6,3,4,5,2,1,8]=>1001110=>7
[7,5,4,3,6,2,1,8]=>1011110=>7
[7,4,5,3,6,2,1,8]=>1001110=>7
[7,3,4,5,6,2,1,8]=>1000110=>7
[6,5,4,3,7,2,1,8]=>1011110=>7
[5,6,4,3,7,2,1,8]=>1010110=>7
[5,4,6,3,7,2,1,8]=>1001110=>7
[5,4,3,6,7,2,1,8]=>1011010=>7
[3,4,5,6,7,2,1,8]=>1000010=>7
[7,6,5,4,2,3,1,8]=>0111110=>7
[6,7,5,4,2,3,1,8]=>0111010=>7
[7,5,6,4,2,3,1,8]=>0110110=>7
[5,6,7,4,2,3,1,8]=>0110010=>7
[7,6,4,5,2,3,1,8]=>0101110=>7
[6,7,4,5,2,3,1,8]=>0101010=>7
[7,5,4,6,2,3,1,8]=>0101110=>7
[7,4,5,6,2,3,1,8]=>0100110=>7
[6,5,4,7,2,3,1,8]=>0101110=>7
[5,6,4,7,2,3,1,8]=>0100110=>7
[5,4,6,7,2,3,1,8]=>0101010=>7
[4,5,6,7,2,3,1,8]=>0100010=>7
[7,6,5,3,2,4,1,8]=>0111110=>7
[6,5,7,3,2,4,1,8]=>0110110=>7
[5,6,7,3,2,4,1,8]=>0110010=>7
[7,6,5,2,3,4,1,8]=>0011110=>7
[6,7,5,2,3,4,1,8]=>0011010=>7
[7,5,6,2,3,4,1,8]=>0010110=>7
[6,5,7,2,3,4,1,8]=>0010110=>7
[5,6,7,2,3,4,1,8]=>0010010=>7
[7,6,4,3,2,5,1,8]=>0111110=>7
[6,7,4,3,2,5,1,8]=>0111010=>7
[6,7,3,4,2,5,1,8]=>0011010=>7
[7,6,4,2,3,5,1,8]=>0011110=>7
[6,7,4,2,3,5,1,8]=>0011010=>7
[7,6,3,2,4,5,1,8]=>0101110=>7
[6,7,3,2,4,5,1,8]=>0101010=>7
[7,6,2,3,4,5,1,8]=>0001110=>7
[6,7,2,3,4,5,1,8]=>0001010=>7
[7,5,4,3,2,6,1,8]=>0111110=>7
[7,4,5,3,2,6,1,8]=>0101110=>7
[7,5,3,4,2,6,1,8]=>0011110=>7
[7,4,3,5,2,6,1,8]=>0011110=>7
[7,5,4,2,3,6,1,8]=>0011110=>7
[7,4,5,2,3,6,1,8]=>0001110=>7
[7,5,3,2,4,6,1,8]=>0101110=>7
[7,2,3,4,5,6,1,8]=>0000110=>7
[6,5,4,3,2,7,1,8]=>0111110=>7
[5,6,4,3,2,7,1,8]=>0110110=>7
[5,4,6,3,2,7,1,8]=>0101110=>7
[5,6,3,4,2,7,1,8]=>0010110=>7
[6,3,4,5,2,7,1,8]=>0001110=>7
[5,4,3,6,2,7,1,8]=>0011110=>7
[4,5,3,6,2,7,1,8]=>0001110=>7
[5,3,4,6,2,7,1,8]=>0001110=>7
[4,3,5,6,2,7,1,8]=>0010110=>7
[3,4,5,6,2,7,1,8]=>0000110=>7
[5,4,6,2,3,7,1,8]=>0001110=>7
[6,5,3,2,4,7,1,8]=>0101110=>7
[6,3,2,4,5,7,1,8]=>0100110=>7
[6,2,3,4,5,7,1,8]=>0000110=>7
[5,4,3,2,6,7,1,8]=>0111010=>7
[3,4,5,2,6,7,1,8]=>0001010=>7
[5,4,2,3,6,7,1,8]=>0011010=>7
[4,5,2,3,6,7,1,8]=>0001010=>7
[5,2,3,4,6,7,1,8]=>0001010=>7
[4,3,2,5,6,7,1,8]=>0110010=>7
[3,4,2,5,6,7,1,8]=>0010010=>7
[4,2,3,5,6,7,1,8]=>0010010=>7
[3,2,4,5,6,7,1,8]=>0100010=>7
[2,3,4,5,6,7,1,8]=>0000010=>7
[7,6,5,4,3,1,2,8]=>0111110=>7
[6,7,5,4,3,1,2,8]=>0111010=>7
[7,5,6,4,3,1,2,8]=>0110110=>7
[7,6,4,5,3,1,2,8]=>0101110=>7
[7,4,5,6,3,1,2,8]=>0100110=>7
[5,4,6,7,3,1,2,8]=>0101010=>7
[4,5,6,7,3,1,2,8]=>0100010=>7
[7,6,5,3,4,1,2,8]=>0011110=>7
[7,5,6,3,4,1,2,8]=>0010110=>7
[6,5,7,3,4,1,2,8]=>0010110=>7
[6,7,3,4,5,1,2,8]=>0001010=>7
[7,5,3,4,6,1,2,8]=>0001110=>7
[6,5,4,3,7,1,2,8]=>0011110=>7
[6,4,5,3,7,1,2,8]=>0001110=>7
[5,6,3,4,7,1,2,8]=>0000110=>7
[6,4,3,5,7,1,2,8]=>0010110=>7
[6,3,4,5,7,1,2,8]=>0000110=>7
[4,3,5,6,7,1,2,8]=>0010010=>7
[3,4,5,6,7,1,2,8]=>0000010=>7
[7,6,5,4,2,1,3,8]=>1011110=>7
[6,5,7,4,2,1,3,8]=>1010110=>7
[7,6,4,5,2,1,3,8]=>1001110=>7
[7,5,4,6,2,1,3,8]=>1001110=>7
[7,4,5,6,2,1,3,8]=>1000110=>7
[5,4,6,7,2,1,3,8]=>1001010=>7
[4,5,6,7,2,1,3,8]=>1000010=>7
[7,6,5,4,1,2,3,8]=>0011110=>7
[7,5,6,4,1,2,3,8]=>0010110=>7
[5,6,7,4,1,2,3,8]=>0010010=>7
[7,6,4,5,1,2,3,8]=>0001110=>7
[7,5,4,6,1,2,3,8]=>0001110=>7
[7,4,5,6,1,2,3,8]=>0000110=>7
[5,6,4,7,1,2,3,8]=>0000110=>7
[5,4,6,7,1,2,3,8]=>0001010=>7
[4,5,6,7,1,2,3,8]=>0000010=>7
[7,6,5,3,2,1,4,8]=>1101110=>7
[7,6,5,2,3,1,4,8]=>0101110=>7
[6,7,5,2,3,1,4,8]=>0101010=>7
[7,5,6,2,3,1,4,8]=>0100110=>7
[6,5,7,2,3,1,4,8]=>0100110=>7
[5,6,7,2,3,1,4,8]=>0100010=>7
[7,5,6,3,1,2,4,8]=>0100110=>7
[5,6,7,3,1,2,4,8]=>0100010=>7
[7,6,5,2,1,3,4,8]=>1001110=>7
[6,7,5,2,1,3,4,8]=>1001010=>7
[7,5,6,2,1,3,4,8]=>1000110=>7
[5,6,7,2,1,3,4,8]=>1000010=>7
[7,6,5,1,2,3,4,8]=>0001110=>7
[6,7,5,1,2,3,4,8]=>0001010=>7
[7,5,6,1,2,3,4,8]=>0000110=>7
[6,5,7,1,2,3,4,8]=>0000110=>7
[5,6,7,1,2,3,4,8]=>0000010=>7
[7,6,4,3,2,1,5,8]=>1110110=>7
[6,7,4,3,2,1,5,8]=>1110010=>7
[7,6,3,4,2,1,5,8]=>1010110=>7
[6,7,3,4,2,1,5,8]=>1010010=>7
[7,6,4,2,3,1,5,8]=>0110110=>7
[7,6,3,2,4,1,5,8]=>0110110=>7
[6,7,3,2,4,1,5,8]=>0110010=>7
[7,6,2,3,4,1,5,8]=>0010110=>7
[6,7,2,3,4,1,5,8]=>0010010=>7
[7,6,4,3,1,2,5,8]=>0110110=>7
[6,7,3,4,1,2,5,8]=>0010010=>7
[7,6,4,2,1,3,5,8]=>1010110=>7
[7,6,3,2,1,4,5,8]=>1100110=>7
[6,7,3,2,1,4,5,8]=>1100010=>7
[7,6,2,3,1,4,5,8]=>0100110=>7
[6,7,2,3,1,4,5,8]=>0100010=>7
[6,7,3,1,2,4,5,8]=>0100010=>7
[7,6,1,2,3,4,5,8]=>0000110=>7
[6,7,1,2,3,4,5,8]=>0000010=>7
[7,5,4,3,2,1,6,8]=>1111010=>7
[7,4,5,3,2,1,6,8]=>1101010=>7
[7,4,3,5,2,1,6,8]=>1011010=>7
[7,3,4,5,2,1,6,8]=>1001010=>7
[7,5,4,2,3,1,6,8]=>0111010=>7
[7,5,3,2,4,1,6,8]=>0111010=>7
[7,5,2,3,4,1,6,8]=>0011010=>7
[7,4,2,3,5,1,6,8]=>0011010=>7
[7,2,3,4,5,1,6,8]=>0001010=>7
[7,5,4,3,1,2,6,8]=>0111010=>7
[7,5,3,4,1,2,6,8]=>0011010=>7
[7,4,5,2,1,3,6,8]=>1001010=>7
[7,4,5,1,2,3,6,8]=>0001010=>7
[7,5,3,2,1,4,6,8]=>1101010=>7
[7,5,2,3,1,4,6,8]=>0101010=>7
[7,5,3,1,2,4,6,8]=>0101010=>7
[7,5,1,2,3,4,6,8]=>0001010=>7
[7,4,3,2,1,5,6,8]=>1110010=>7
[7,2,3,4,1,5,6,8]=>0010010=>7
[7,4,3,1,2,5,6,8]=>0110010=>7
[7,3,4,1,2,5,6,8]=>0010010=>7
[7,4,1,2,3,5,6,8]=>0010010=>7
[7,3,2,1,4,5,6,8]=>1100010=>7
[7,2,3,1,4,5,6,8]=>0100010=>7
[7,3,1,2,4,5,6,8]=>0100010=>7
[7,2,1,3,4,5,6,8]=>1000010=>7
[7,1,2,3,4,5,6,8]=>0000010=>7
[6,5,4,3,2,1,7,8]=>1111100=>7
[5,6,4,3,2,1,7,8]=>1110100=>7
[5,4,6,3,2,1,7,8]=>1101100=>7
[4,5,6,3,2,1,7,8]=>1100100=>7
[6,5,3,4,2,1,7,8]=>1011100=>7
[5,6,3,4,2,1,7,8]=>1010100=>7
[5,4,3,6,2,1,7,8]=>1011100=>7
[3,4,5,6,2,1,7,8]=>1000100=>7
[5,4,6,2,3,1,7,8]=>0101100=>7
[5,6,3,2,4,1,7,8]=>0110100=>7
[6,5,2,3,4,1,7,8]=>0011100=>7
[5,6,2,3,4,1,7,8]=>0010100=>7
[6,4,3,2,5,1,7,8]=>0111100=>7
[6,2,3,4,5,1,7,8]=>0001100=>7
[5,4,3,2,6,1,7,8]=>0111100=>7
[4,5,3,2,6,1,7,8]=>0101100=>7
[4,3,5,2,6,1,7,8]=>0011100=>7
[3,4,5,2,6,1,7,8]=>0001100=>7
[5,3,2,4,6,1,7,8]=>0101100=>7
[5,2,3,4,6,1,7,8]=>0001100=>7
[4,3,2,5,6,1,7,8]=>0110100=>7
[3,4,2,5,6,1,7,8]=>0010100=>7
[4,2,3,5,6,1,7,8]=>0010100=>7
[3,2,4,5,6,1,7,8]=>0100100=>7
[2,3,4,5,6,1,7,8]=>0000100=>7
[6,5,4,3,1,2,7,8]=>0111100=>7
[5,6,4,3,1,2,7,8]=>0110100=>7
[6,4,5,3,1,2,7,8]=>0101100=>7
[5,4,6,3,1,2,7,8]=>0101100=>7
[5,6,3,4,1,2,7,8]=>0010100=>7
[6,4,3,5,1,2,7,8]=>0011100=>7
[5,4,3,6,1,2,7,8]=>0011100=>7
[4,3,5,6,1,2,7,8]=>0010100=>7
[3,4,5,6,1,2,7,8]=>0000100=>7
[6,5,4,2,1,3,7,8]=>1011100=>7
[5,6,4,2,1,3,7,8]=>1010100=>7
[6,4,5,2,1,3,7,8]=>1001100=>7
[5,4,6,2,1,3,7,8]=>1001100=>7
[4,5,6,2,1,3,7,8]=>1000100=>7
[6,5,4,1,2,3,7,8]=>0011100=>7
[4,5,6,1,2,3,7,8]=>0000100=>7
[6,5,3,2,1,4,7,8]=>1101100=>7
[5,6,3,2,1,4,7,8]=>1100100=>7
[5,6,2,1,3,4,7,8]=>1000100=>7
[6,4,3,2,1,5,7,8]=>1110100=>7
[6,3,4,2,1,5,7,8]=>1010100=>7
[6,4,3,1,2,5,7,8]=>0110100=>7
[6,4,2,1,3,5,7,8]=>1010100=>7
[6,4,1,2,3,5,7,8]=>0010100=>7
[6,3,2,1,4,5,7,8]=>1100100=>7
[6,2,3,1,4,5,7,8]=>0100100=>7
[6,3,1,2,4,5,7,8]=>0100100=>7
[6,2,1,3,4,5,7,8]=>1000100=>7
[6,1,2,3,4,5,7,8]=>0000100=>7
[5,4,3,2,1,6,7,8]=>1111000=>7
[4,5,3,2,1,6,7,8]=>1101000=>7
[5,3,4,2,1,6,7,8]=>1011000=>7
[4,3,5,2,1,6,7,8]=>1011000=>7
[3,4,5,2,1,6,7,8]=>1001000=>7
[5,4,2,3,1,6,7,8]=>0111000=>7
[4,5,2,3,1,6,7,8]=>0101000=>7
[5,3,2,4,1,6,7,8]=>0111000=>7
[5,2,3,4,1,6,7,8]=>0011000=>7
[4,3,2,5,1,6,7,8]=>0111000=>7
[3,4,2,5,1,6,7,8]=>0011000=>7
[4,2,3,5,1,6,7,8]=>0011000=>7
[3,2,4,5,1,6,7,8]=>0101000=>7
[2,3,4,5,1,6,7,8]=>0001000=>7
[5,4,3,1,2,6,7,8]=>0111000=>7
[5,3,4,1,2,6,7,8]=>0011000=>7
[4,3,5,1,2,6,7,8]=>0011000=>7
[3,4,5,1,2,6,7,8]=>0001000=>7
[5,4,2,1,3,6,7,8]=>1011000=>7
[4,5,2,1,3,6,7,8]=>1001000=>7
[5,4,1,2,3,6,7,8]=>0011000=>7
[4,5,1,2,3,6,7,8]=>0001000=>7
[5,3,2,1,4,6,7,8]=>1101000=>7
[5,2,3,1,4,6,7,8]=>0101000=>7
[5,3,1,2,4,6,7,8]=>0101000=>7
[5,2,1,3,4,6,7,8]=>1001000=>7
[5,1,2,3,4,6,7,8]=>0001000=>7
[4,3,2,1,5,6,7,8]=>1110000=>7
[3,4,2,1,5,6,7,8]=>1010000=>7
[4,2,3,1,5,6,7,8]=>0110000=>7
[3,2,4,1,5,6,7,8]=>0110000=>7
[2,3,4,1,5,6,7,8]=>0010000=>7
[4,3,1,2,5,6,7,8]=>0110000=>7
[3,4,1,2,5,6,7,8]=>0010000=>7
[4,2,1,3,5,6,7,8]=>1010000=>7
[4,1,2,3,5,6,7,8]=>0010000=>7
[3,2,1,4,5,6,7,8]=>1100000=>7
[2,3,1,4,5,6,7,8]=>0100000=>7
[3,1,2,4,5,6,7,8]=>0100000=>7
[2,1,3,4,5,6,7,8]=>1000000=>7
[1,2,3,4,5,6,7,8]=>0000000=>1
[6,8,7,5,4,3,2,1]=>1111011=>7
[5,8,7,6,4,3,2,1]=>1110111=>7
[5,7,8,6,4,3,2,1]=>1110101=>7
[6,5,8,7,4,3,2,1]=>1110111=>7
[5,6,8,7,4,3,2,1]=>1110011=>7
[5,7,6,8,4,3,2,1]=>1110011=>7
[4,8,7,6,5,3,2,1]=>1101111=>7
[4,7,8,6,5,3,2,1]=>1101101=>7
[4,6,8,7,5,3,2,1]=>1101011=>7
[4,7,6,8,5,3,2,1]=>1101011=>7
[4,6,7,8,5,3,2,1]=>1101001=>7
[5,4,7,8,6,3,2,1]=>1101101=>7
[4,5,8,7,6,3,2,1]=>1100111=>7
[4,5,7,8,6,3,2,1]=>1100101=>7
[6,5,4,8,7,3,2,1]=>1101111=>7
[5,6,4,8,7,3,2,1]=>1100111=>7
[4,6,5,8,7,3,2,1]=>1100111=>7
[4,5,6,8,7,3,2,1]=>1100011=>7
[5,7,6,4,8,3,2,1]=>1100111=>7
[4,7,6,5,8,3,2,1]=>1100111=>7
[4,6,7,5,8,3,2,1]=>1100011=>7
[5,4,7,6,8,3,2,1]=>1101011=>7
[4,5,7,6,8,3,2,1]=>1100011=>7
[4,6,5,7,8,3,2,1]=>1100101=>7
[3,8,7,6,5,4,2,1]=>1011111=>7
[3,7,8,6,5,4,2,1]=>1011101=>7
[3,6,8,7,5,4,2,1]=>1011011=>7
[3,7,6,8,5,4,2,1]=>1011011=>7
[3,5,8,7,6,4,2,1]=>1010111=>7
[3,5,7,8,6,4,2,1]=>1010101=>7
[3,5,6,8,7,4,2,1]=>1010011=>7
[3,7,6,5,8,4,2,1]=>1010111=>7
[3,6,7,5,8,4,2,1]=>1010011=>7
[3,5,7,6,8,4,2,1]=>1010011=>7
[3,5,6,7,8,4,2,1]=>1010001=>7
[4,3,8,7,6,5,2,1]=>1011111=>7
[4,3,7,8,6,5,2,1]=>1011101=>7
[4,3,6,7,8,5,2,1]=>1011001=>7
[3,4,8,7,6,5,2,1]=>1001111=>7
[3,4,6,7,8,5,2,1]=>1001001=>7
[5,4,3,8,7,6,2,1]=>1011111=>7
[5,4,3,7,8,6,2,1]=>1011101=>7
[4,5,3,7,8,6,2,1]=>1001101=>7
[3,5,4,7,8,6,2,1]=>1001101=>7
[4,3,5,7,8,6,2,1]=>1010101=>7
[3,4,5,8,7,6,2,1]=>1000111=>7
[3,4,5,7,8,6,2,1]=>1000101=>7
[6,5,4,3,8,7,2,1]=>1011111=>7
[5,6,4,3,8,7,2,1]=>1010111=>7
[4,5,6,3,8,7,2,1]=>1000111=>7
[3,6,5,4,8,7,2,1]=>1001111=>7
[4,3,6,5,8,7,2,1]=>1010111=>7
[5,4,3,6,8,7,2,1]=>1011011=>7
[4,5,3,6,8,7,2,1]=>1001011=>7
[4,3,5,6,8,7,2,1]=>1010011=>7
[3,4,5,6,8,7,2,1]=>1000011=>7
[5,7,6,4,3,8,2,1]=>1010111=>7
[4,7,6,5,3,8,2,1]=>1001111=>7
[5,4,7,6,3,8,2,1]=>1001111=>7
[3,7,6,5,4,8,2,1]=>1001111=>7
[3,5,7,6,4,8,2,1]=>1000111=>7
[3,5,6,7,4,8,2,1]=>1000011=>7
[4,3,7,6,5,8,2,1]=>1010111=>7
[3,4,7,6,5,8,2,1]=>1000111=>7
[3,4,6,7,5,8,2,1]=>1000011=>7
[4,5,3,7,6,8,2,1]=>1001011=>7
[3,5,4,7,6,8,2,1]=>1001011=>7
[4,3,5,7,6,8,2,1]=>1010011=>7
[3,4,5,7,6,8,2,1]=>1000011=>7
[3,6,5,4,7,8,2,1]=>1001101=>7
[3,5,6,4,7,8,2,1]=>1000101=>7
[4,3,6,5,7,8,2,1]=>1010101=>7
[3,4,6,5,7,8,2,1]=>1000101=>7
[3,5,4,6,7,8,2,1]=>1001001=>7
[2,8,7,6,5,4,3,1]=>0111111=>7
[2,7,8,6,5,4,3,1]=>0111101=>7
[2,6,8,7,5,4,3,1]=>0111011=>7
[2,7,6,8,5,4,3,1]=>0111011=>7
[2,6,7,8,5,4,3,1]=>0111001=>7
[2,5,8,7,6,4,3,1]=>0110111=>7
[2,6,7,5,8,4,3,1]=>0110011=>7
[2,6,5,7,8,4,3,1]=>0110101=>7
[2,5,6,7,8,4,3,1]=>0110001=>7
[2,4,8,7,6,5,3,1]=>0101111=>7
[2,4,7,8,6,5,3,1]=>0101101=>7
[2,4,6,8,7,5,3,1]=>0101011=>7
[2,4,6,7,8,5,3,1]=>0101001=>7
[2,5,4,8,7,6,3,1]=>0101111=>7
[2,5,4,7,8,6,3,1]=>0101101=>7
[2,4,5,7,8,6,3,1]=>0100101=>7
[2,6,5,4,8,7,3,1]=>0101111=>7
[2,5,6,4,8,7,3,1]=>0100111=>7
[2,4,6,5,8,7,3,1]=>0100111=>7
[2,4,5,6,8,7,3,1]=>0100011=>7
[2,7,6,5,4,8,3,1]=>0101111=>7
[2,6,7,5,4,8,3,1]=>0101011=>7
[2,5,6,7,4,8,3,1]=>0100011=>7
[2,4,7,6,5,8,3,1]=>0100111=>7
[2,4,6,7,5,8,3,1]=>0100011=>7
[2,5,4,7,6,8,3,1]=>0101011=>7
[2,6,5,4,7,8,3,1]=>0101101=>7
[2,5,6,4,7,8,3,1]=>0100101=>7
[2,4,6,5,7,8,3,1]=>0100101=>7
[2,5,4,6,7,8,3,1]=>0101001=>7
[2,4,5,6,7,8,3,1]=>0100001=>7
[3,2,8,7,6,5,4,1]=>0111111=>7
[3,2,7,8,6,5,4,1]=>0111101=>7
[3,2,6,8,7,5,4,1]=>0111011=>7
[3,2,5,7,8,6,4,1]=>0110101=>7
[3,2,6,5,8,7,4,1]=>0110111=>7
[3,2,5,7,6,8,4,1]=>0110011=>7
[3,2,5,6,7,8,4,1]=>0110001=>7
[2,3,8,7,6,5,4,1]=>0011111=>7
[2,3,6,7,8,5,4,1]=>0011001=>7
[2,3,5,8,7,6,4,1]=>0010111=>7
[2,3,5,7,8,6,4,1]=>0010101=>7
[2,3,6,5,8,7,4,1]=>0010111=>7
[2,3,5,6,8,7,4,1]=>0010011=>7
[2,3,7,6,5,8,4,1]=>0010111=>7
[2,3,5,7,6,8,4,1]=>0010011=>7
[2,3,5,6,7,8,4,1]=>0010001=>7
[4,3,2,8,7,6,5,1]=>0111111=>7
[4,3,2,7,8,6,5,1]=>0111101=>7
[4,3,2,6,8,7,5,1]=>0111011=>7
[3,4,2,8,7,6,5,1]=>0011111=>7
[3,4,2,7,8,6,5,1]=>0011101=>7
[2,4,3,8,7,6,5,1]=>0011111=>7
[2,4,3,6,8,7,5,1]=>0011011=>7
[2,4,3,6,7,8,5,1]=>0011001=>7
[3,2,4,8,7,6,5,1]=>0101111=>7
[3,2,4,7,8,6,5,1]=>0101101=>7
[2,3,4,8,7,6,5,1]=>0001111=>7
[2,3,4,7,8,6,5,1]=>0001101=>7
[2,3,4,6,8,7,5,1]=>0001011=>7
[2,3,4,7,6,8,5,1]=>0001011=>7
[2,3,4,6,7,8,5,1]=>0001001=>7
[5,4,3,2,8,7,6,1]=>0111111=>7
[5,4,3,2,7,8,6,1]=>0111101=>7
[4,5,3,2,8,7,6,1]=>0101111=>7
[3,5,4,2,7,8,6,1]=>0011101=>7
[4,3,5,2,8,7,6,1]=>0011111=>7
[3,4,5,2,7,8,6,1]=>0001101=>7
[2,5,4,3,8,7,6,1]=>0011111=>7
[2,5,4,3,7,8,6,1]=>0011101=>7
[2,4,5,3,8,7,6,1]=>0001111=>7
[2,4,5,3,7,8,6,1]=>0001101=>7
[3,2,5,4,7,8,6,1]=>0101101=>7
[2,3,5,4,8,7,6,1]=>0001111=>7
[2,3,5,4,7,8,6,1]=>0001101=>7
[4,3,2,5,8,7,6,1]=>0110111=>7
[4,3,2,5,7,8,6,1]=>0110101=>7
[3,4,2,5,8,7,6,1]=>0010111=>7
[3,4,2,5,7,8,6,1]=>0010101=>7
[2,4,3,5,8,7,6,1]=>0010111=>7
[3,2,4,5,7,8,6,1]=>0100101=>7
[2,3,4,5,8,7,6,1]=>0000111=>7
[2,3,4,5,7,8,6,1]=>0000101=>7
[6,5,4,3,2,8,7,1]=>0111111=>7
[4,6,5,3,2,8,7,1]=>0101111=>7
[5,4,6,3,2,8,7,1]=>0101111=>7
[4,5,6,3,2,8,7,1]=>0100111=>7
[3,6,5,4,2,8,7,1]=>0011111=>7
[3,5,6,4,2,8,7,1]=>0010111=>7
[4,3,6,5,2,8,7,1]=>0011111=>7
[5,4,3,6,2,8,7,1]=>0011111=>7
[4,5,3,6,2,8,7,1]=>0001111=>7
[3,5,4,6,2,8,7,1]=>0001111=>7
[3,4,5,6,2,8,7,1]=>0000111=>7
[2,6,5,4,3,8,7,1]=>0011111=>7
[2,4,6,5,3,8,7,1]=>0001111=>7
[2,4,5,6,3,8,7,1]=>0000111=>7
[3,2,6,5,4,8,7,1]=>0101111=>7
[2,3,5,6,4,8,7,1]=>0000111=>7
[4,3,2,6,5,8,7,1]=>0110111=>7
[3,4,2,6,5,8,7,1]=>0010111=>7
[2,4,3,6,5,8,7,1]=>0010111=>7
[3,2,4,6,5,8,7,1]=>0100111=>7
[2,3,4,6,5,8,7,1]=>0000111=>7
[5,4,3,2,6,8,7,1]=>0111011=>7
[4,5,3,2,6,8,7,1]=>0101011=>7
[2,5,4,3,6,8,7,1]=>0011011=>7
[2,4,5,3,6,8,7,1]=>0001011=>7
[3,2,5,4,6,8,7,1]=>0101011=>7
[4,3,2,5,6,8,7,1]=>0110011=>7
[3,4,2,5,6,8,7,1]=>0010011=>7
[2,4,3,5,6,8,7,1]=>0010011=>7
[3,2,4,5,6,8,7,1]=>0100011=>7
[2,3,4,5,6,8,7,1]=>0000011=>7
[5,7,6,4,3,2,8,1]=>0110111=>7
[4,7,6,5,3,2,8,1]=>0101111=>7
[4,6,7,5,3,2,8,1]=>0101011=>7
[4,6,5,7,3,2,8,1]=>0100111=>7
[3,5,7,6,4,2,8,1]=>0010111=>7
[3,5,6,7,4,2,8,1]=>0010011=>7
[4,3,7,6,5,2,8,1]=>0011111=>7
[4,3,6,7,5,2,8,1]=>0011011=>7
[3,4,7,6,5,2,8,1]=>0001111=>7
[3,4,6,7,5,2,8,1]=>0001011=>7
[5,4,3,7,6,2,8,1]=>0011111=>7
[4,5,3,7,6,2,8,1]=>0001111=>7
[3,5,4,7,6,2,8,1]=>0001111=>7
[3,4,5,7,6,2,8,1]=>0000111=>7
[4,6,5,3,7,2,8,1]=>0001111=>7
[3,6,5,4,7,2,8,1]=>0001111=>7
[3,5,6,4,7,2,8,1]=>0000111=>7
[4,3,6,5,7,2,8,1]=>0010111=>7
[3,4,6,5,7,2,8,1]=>0000111=>7
[3,5,4,6,7,2,8,1]=>0001011=>7
[2,7,6,5,4,3,8,1]=>0011111=>7
[2,6,5,7,4,3,8,1]=>0010111=>7
[2,5,6,7,4,3,8,1]=>0010011=>7
[2,4,6,7,5,3,8,1]=>0001011=>7
[2,5,4,7,6,3,8,1]=>0001111=>7
[2,4,6,5,7,3,8,1]=>0000111=>7
[2,5,4,6,7,3,8,1]=>0001011=>7
[2,4,5,6,7,3,8,1]=>0000011=>7
[3,2,7,6,5,4,8,1]=>0101111=>7
[3,2,6,7,5,4,8,1]=>0101011=>7
[3,2,5,7,6,4,8,1]=>0100111=>7
[3,2,6,5,7,4,8,1]=>0100111=>7
[3,2,5,6,7,4,8,1]=>0100011=>7
[2,3,7,6,5,4,8,1]=>0001111=>7
[2,3,5,7,6,4,8,1]=>0000111=>7
[2,3,5,6,7,4,8,1]=>0000011=>7
[4,3,2,7,6,5,8,1]=>0110111=>7
[4,3,2,6,7,5,8,1]=>0110011=>7
[3,4,2,7,6,5,8,1]=>0010111=>7
[3,4,2,6,7,5,8,1]=>0010011=>7
[2,4,3,7,6,5,8,1]=>0010111=>7
[2,4,3,6,7,5,8,1]=>0010011=>7
[3,2,4,7,6,5,8,1]=>0100111=>7
[2,3,4,7,6,5,8,1]=>0000111=>7
[2,3,4,6,7,5,8,1]=>0000011=>7
[5,4,3,2,7,6,8,1]=>0111011=>7
[3,5,4,2,7,6,8,1]=>0011011=>7
[4,3,5,2,7,6,8,1]=>0011011=>7
[3,4,5,2,7,6,8,1]=>0001011=>7
[2,5,4,3,7,6,8,1]=>0011011=>7
[3,2,5,4,7,6,8,1]=>0101011=>7
[2,3,5,4,7,6,8,1]=>0001011=>7
[4,3,2,5,7,6,8,1]=>0110011=>7
[3,4,2,5,7,6,8,1]=>0010011=>7
[2,4,3,5,7,6,8,1]=>0010011=>7
[3,2,4,5,7,6,8,1]=>0100011=>7
[2,3,4,5,7,6,8,1]=>0000011=>7
[3,6,5,4,2,7,8,1]=>0011101=>7
[3,5,6,4,2,7,8,1]=>0010101=>7
[3,4,6,5,2,7,8,1]=>0001101=>7
[3,5,4,6,2,7,8,1]=>0001101=>7
[2,6,5,4,3,7,8,1]=>0011101=>7
[2,5,6,4,3,7,8,1]=>0010101=>7
[2,4,6,5,3,7,8,1]=>0001101=>7
[2,5,4,6,3,7,8,1]=>0001101=>7
[2,4,5,6,3,7,8,1]=>0000101=>7
[3,2,5,6,4,7,8,1]=>0100101=>7
[2,3,6,5,4,7,8,1]=>0001101=>7
[2,3,5,6,4,7,8,1]=>0000101=>7
[4,3,2,6,5,7,8,1]=>0110101=>7
[3,4,2,6,5,7,8,1]=>0010101=>7
[2,4,3,6,5,7,8,1]=>0010101=>7
[2,3,4,6,5,7,8,1]=>0000101=>7
[3,5,4,2,6,7,8,1]=>0011001=>7
[2,5,4,3,6,7,8,1]=>0011001=>7
[2,4,5,3,6,7,8,1]=>0001001=>7
[3,2,5,4,6,7,8,1]=>0101001=>7
[2,3,5,4,6,7,8,1]=>0001001=>7
[2,4,3,5,6,7,8,1]=>0010001=>7
[1,8,7,6,5,4,3,2]=>0111111=>7
[1,7,8,6,5,4,3,2]=>0111101=>7
[1,6,8,7,5,4,3,2]=>0111011=>7
[1,7,6,8,5,4,3,2]=>0111011=>7
[1,6,7,8,5,4,3,2]=>0111001=>7
[1,5,8,7,6,4,3,2]=>0110111=>7
[1,6,5,8,7,4,3,2]=>0110111=>7
[1,7,6,5,8,4,3,2]=>0110111=>7
[1,6,7,5,8,4,3,2]=>0110011=>7
[1,5,7,6,8,4,3,2]=>0110011=>7
[1,6,5,7,8,4,3,2]=>0110101=>7
[1,5,6,7,8,4,3,2]=>0110001=>7
[1,4,8,7,6,5,3,2]=>0101111=>7
[1,4,7,8,6,5,3,2]=>0101101=>7
[1,4,6,8,7,5,3,2]=>0101011=>7
[1,4,6,7,8,5,3,2]=>0101001=>7
[1,5,4,7,8,6,3,2]=>0101101=>7
[1,4,5,8,7,6,3,2]=>0100111=>7
[1,4,5,7,8,6,3,2]=>0100101=>7
[1,6,5,4,8,7,3,2]=>0101111=>7
[1,4,6,5,8,7,3,2]=>0100111=>7
[1,5,4,6,8,7,3,2]=>0101011=>7
[1,7,6,5,4,8,3,2]=>0101111=>7
[1,4,7,6,5,8,3,2]=>0100111=>7
[1,4,6,7,5,8,3,2]=>0100011=>7
[1,6,5,4,7,8,3,2]=>0101101=>7
[1,5,6,4,7,8,3,2]=>0100101=>7
[1,5,4,6,7,8,3,2]=>0101001=>7
[1,4,5,6,7,8,3,2]=>0100001=>7
[1,3,8,7,6,5,4,2]=>0011111=>7
[1,3,7,8,6,5,4,2]=>0011101=>7
[1,3,6,8,7,5,4,2]=>0011011=>7
[1,3,6,7,8,5,4,2]=>0011001=>7
[1,3,5,8,7,6,4,2]=>0010111=>7
[1,3,5,7,8,6,4,2]=>0010101=>7
[1,3,5,6,8,7,4,2]=>0010011=>7
[1,3,6,7,5,8,4,2]=>0010011=>7
[1,3,5,7,6,8,4,2]=>0010011=>7
[1,3,6,5,7,8,4,2]=>0010101=>7
[1,3,5,6,7,8,4,2]=>0010001=>7
[1,4,3,8,7,6,5,2]=>0011111=>7
[1,4,3,7,8,6,5,2]=>0011101=>7
[1,4,3,6,8,7,5,2]=>0011011=>7
[1,4,3,7,6,8,5,2]=>0011011=>7
[1,4,3,6,7,8,5,2]=>0011001=>7
[1,3,4,8,7,6,5,2]=>0001111=>7
[1,3,4,7,6,8,5,2]=>0001011=>7
[1,3,4,6,7,8,5,2]=>0001001=>7
[1,5,4,3,8,7,6,2]=>0011111=>7
[1,4,5,3,8,7,6,2]=>0001111=>7
[1,4,5,3,7,8,6,2]=>0001101=>7
[1,3,5,4,8,7,6,2]=>0001111=>7
[1,3,5,4,7,8,6,2]=>0001101=>7
[1,4,3,5,8,7,6,2]=>0010111=>7
[1,4,3,5,7,8,6,2]=>0010101=>7
[1,3,4,5,8,7,6,2]=>0000111=>7
[1,3,4,5,7,8,6,2]=>0000101=>7
[1,6,5,4,3,8,7,2]=>0011111=>7
[1,5,6,4,3,8,7,2]=>0010111=>7
[1,4,6,5,3,8,7,2]=>0001111=>7
[1,4,5,6,3,8,7,2]=>0000111=>7
[1,3,6,5,4,8,7,2]=>0001111=>7
[1,4,3,6,5,8,7,2]=>0010111=>7
[1,5,4,3,6,8,7,2]=>0011011=>7
[1,4,5,3,6,8,7,2]=>0001011=>7
[1,3,4,5,6,8,7,2]=>0000011=>7
[1,7,6,5,4,3,8,2]=>0011111=>7
[1,6,7,5,4,3,8,2]=>0011011=>7
[1,6,5,7,4,3,8,2]=>0010111=>7
[1,5,6,7,4,3,8,2]=>0010011=>7
[1,4,6,7,5,3,8,2]=>0001011=>7
[1,5,6,4,7,3,8,2]=>0000111=>7
[1,4,6,5,7,3,8,2]=>0000111=>7
[1,5,4,6,7,3,8,2]=>0001011=>7
[1,4,5,6,7,3,8,2]=>0000011=>7
[1,3,5,7,6,4,8,2]=>0000111=>7
[1,3,6,5,7,4,8,2]=>0000111=>7
[1,3,5,6,7,4,8,2]=>0000011=>7
[1,4,3,6,7,5,8,2]=>0010011=>7
[1,3,4,7,6,5,8,2]=>0000111=>7
[1,3,4,6,7,5,8,2]=>0000011=>7
[1,3,5,4,7,6,8,2]=>0001011=>7
[1,3,4,5,7,6,8,2]=>0000011=>7
[1,6,5,4,3,7,8,2]=>0011101=>7
[1,5,4,6,3,7,8,2]=>0001101=>7
[1,3,5,6,4,7,8,2]=>0000101=>7
[1,4,3,6,5,7,8,2]=>0010101=>7
[1,3,4,6,5,7,8,2]=>0000101=>7
[1,5,4,3,6,7,8,2]=>0011001=>7
[1,4,5,3,6,7,8,2]=>0001001=>7
[1,3,5,4,6,7,8,2]=>0001001=>7
[1,4,3,5,6,7,8,2]=>0010001=>7
[1,3,4,5,6,7,8,2]=>0000001=>7
[2,1,8,7,6,5,4,3]=>1011111=>7
[2,1,7,8,6,5,4,3]=>1011101=>7
[2,1,6,8,7,5,4,3]=>1011011=>7
[2,1,7,6,8,5,4,3]=>1011011=>7
[2,1,6,7,8,5,4,3]=>1011001=>7
[2,1,5,8,7,6,4,3]=>1010111=>7
[2,1,5,7,8,6,4,3]=>1010101=>7
[2,1,6,5,8,7,4,3]=>1010111=>7
[2,1,5,6,8,7,4,3]=>1010011=>7
[2,1,7,6,5,8,4,3]=>1010111=>7
[2,1,6,7,5,8,4,3]=>1010011=>7
[2,1,5,7,6,8,4,3]=>1010011=>7
[2,1,6,5,7,8,4,3]=>1010101=>7
[2,1,5,6,7,8,4,3]=>1010001=>7
[2,1,4,8,7,6,5,3]=>1001111=>7
[2,1,4,7,8,6,5,3]=>1001101=>7
[2,1,4,6,8,7,5,3]=>1001011=>7
[2,1,4,7,6,8,5,3]=>1001011=>7
[2,1,4,6,7,8,5,3]=>1001001=>7
[2,1,5,4,8,7,6,3]=>1001111=>7
[2,1,5,4,7,8,6,3]=>1001101=>7
[2,1,4,5,8,7,6,3]=>1000111=>7
[2,1,4,5,7,8,6,3]=>1000101=>7
[2,1,6,5,4,8,7,3]=>1001111=>7
[2,1,5,6,4,8,7,3]=>1000111=>7
[2,1,4,6,5,8,7,3]=>1000111=>7
[2,1,5,4,6,8,7,3]=>1001011=>7
[2,1,4,5,6,8,7,3]=>1000011=>7
[2,1,7,6,5,4,8,3]=>1001111=>7
[2,1,6,7,5,4,8,3]=>1001011=>7
[2,1,5,7,6,4,8,3]=>1000111=>7
[2,1,6,5,7,4,8,3]=>1000111=>7
[2,1,5,6,7,4,8,3]=>1000011=>7
[2,1,4,7,6,5,8,3]=>1000111=>7
[2,1,4,6,7,5,8,3]=>1000011=>7
[2,1,5,4,7,6,8,3]=>1001011=>7
[2,1,5,6,4,7,8,3]=>1000101=>7
[2,1,5,4,6,7,8,3]=>1001001=>7
[2,1,4,5,6,7,8,3]=>1000001=>7
[1,2,8,7,6,5,4,3]=>0011111=>7
[1,2,7,8,6,5,4,3]=>0011101=>7
[1,2,7,6,8,5,4,3]=>0011011=>7
[1,2,6,7,8,5,4,3]=>0011001=>7
[1,2,5,8,7,6,4,3]=>0010111=>7
[1,2,6,5,8,7,4,3]=>0010111=>7
[1,2,5,6,8,7,4,3]=>0010011=>7
[1,2,7,6,5,8,4,3]=>0010111=>7
[1,2,5,7,6,8,4,3]=>0010011=>7
[1,2,6,5,7,8,4,3]=>0010101=>7
[1,2,5,6,7,8,4,3]=>0010001=>7
[1,2,4,8,7,6,5,3]=>0001111=>7
[1,2,4,7,8,6,5,3]=>0001101=>7
[1,2,4,6,8,7,5,3]=>0001011=>7
[1,2,4,7,6,8,5,3]=>0001011=>7
[1,2,4,6,7,8,5,3]=>0001001=>7
[1,2,5,4,8,7,6,3]=>0001111=>7
[1,2,5,4,7,8,6,3]=>0001101=>7
[1,2,4,5,8,7,6,3]=>0000111=>7
[1,2,4,5,7,8,6,3]=>0000101=>7
[1,2,6,5,4,8,7,3]=>0001111=>7
[1,2,4,6,5,8,7,3]=>0000111=>7
[1,2,5,4,6,8,7,3]=>0001011=>7
[1,2,4,5,6,8,7,3]=>0000011=>7
[1,2,7,6,5,4,8,3]=>0001111=>7
[1,2,5,7,6,4,8,3]=>0000111=>7
[1,2,5,6,7,4,8,3]=>0000011=>7
[1,2,4,7,6,5,8,3]=>0000111=>7
[1,2,5,4,7,6,8,3]=>0001011=>7
[1,2,6,5,4,7,8,3]=>0001101=>7
[1,2,5,6,4,7,8,3]=>0000101=>7
[1,2,4,6,5,7,8,3]=>0000101=>7
[1,2,5,4,6,7,8,3]=>0001001=>7
[1,2,4,5,6,7,8,3]=>0000001=>7
[3,2,1,8,7,6,5,4]=>1101111=>7
[3,2,1,7,8,6,5,4]=>1101101=>7
[3,2,1,6,8,7,5,4]=>1101011=>7
[3,2,1,7,6,8,5,4]=>1101011=>7
[3,2,1,6,7,8,5,4]=>1101001=>7
[3,2,1,5,8,7,6,4]=>1100111=>7
[3,2,1,5,7,8,6,4]=>1100101=>7
[3,2,1,6,5,8,7,4]=>1100111=>7
[3,2,1,5,6,8,7,4]=>1100011=>7
[3,2,1,7,6,5,8,4]=>1100111=>7
[3,2,1,6,7,5,8,4]=>1100011=>7
[3,2,1,5,7,6,8,4]=>1100011=>7
[3,2,1,6,5,7,8,4]=>1100101=>7
[3,2,1,5,6,7,8,4]=>1100001=>7
[2,3,1,8,7,6,5,4]=>0101111=>7
[2,3,1,7,8,6,5,4]=>0101101=>7
[2,3,1,6,8,7,5,4]=>0101011=>7
[2,3,1,7,6,8,5,4]=>0101011=>7
[2,3,1,6,7,8,5,4]=>0101001=>7
[2,3,1,5,7,8,6,4]=>0100101=>7
[2,3,1,6,5,8,7,4]=>0100111=>7
[2,3,1,7,6,5,8,4]=>0100111=>7
[2,3,1,6,7,5,8,4]=>0100011=>7
[2,3,1,5,7,6,8,4]=>0100011=>7
[2,3,1,5,6,7,8,4]=>0100001=>7
[1,3,2,8,7,6,5,4]=>0101111=>7
[1,3,2,6,8,7,5,4]=>0101011=>7
[1,3,2,7,6,8,5,4]=>0101011=>7
[1,3,2,6,7,8,5,4]=>0101001=>7
[1,3,2,5,8,7,6,4]=>0100111=>7
[1,3,2,5,7,8,6,4]=>0100101=>7
[1,3,2,6,5,8,7,4]=>0100111=>7
[1,3,2,5,6,8,7,4]=>0100011=>7
[1,3,2,7,6,5,8,4]=>0100111=>7
[1,3,2,6,7,5,8,4]=>0100011=>7
[1,3,2,5,7,6,8,4]=>0100011=>7
[1,3,2,6,5,7,8,4]=>0100101=>7
[1,3,2,5,6,7,8,4]=>0100001=>7
[2,1,3,8,7,6,5,4]=>1001111=>7
[2,1,3,7,8,6,5,4]=>1001101=>7
[2,1,3,6,8,7,5,4]=>1001011=>7
[2,1,3,6,7,8,5,4]=>1001001=>7
[2,1,3,6,5,8,7,4]=>1000111=>7
[2,1,3,5,7,6,8,4]=>1000011=>7
[2,1,3,5,6,7,8,4]=>1000001=>7
[1,2,3,8,7,6,5,4]=>0001111=>7
[1,2,3,7,8,6,5,4]=>0001101=>7
[1,2,3,6,8,7,5,4]=>0001011=>7
[1,2,3,7,6,8,5,4]=>0001011=>7
[1,2,3,6,7,8,5,4]=>0001001=>7
[1,2,3,5,8,7,6,4]=>0000111=>7
[1,2,3,5,7,8,6,4]=>0000101=>7
[1,2,3,6,5,8,7,4]=>0000111=>7
[1,2,3,5,6,8,7,4]=>0000011=>7
[1,2,3,7,6,5,8,4]=>0000111=>7
[1,2,3,6,7,5,8,4]=>0000011=>7
[1,2,3,5,7,6,8,4]=>0000011=>7
[1,2,3,6,5,7,8,4]=>0000101=>7
[1,2,3,5,6,7,8,4]=>0000001=>7
[4,3,2,1,8,7,6,5]=>1110111=>7
[4,3,2,1,7,8,6,5]=>1110101=>7
[4,3,2,1,6,8,7,5]=>1110011=>7
[4,3,2,1,7,6,8,5]=>1110011=>7
[4,3,2,1,6,7,8,5]=>1110001=>7
[3,4,2,1,8,7,6,5]=>1010111=>7
[3,4,2,1,7,8,6,5]=>1010101=>7
[3,4,2,1,6,8,7,5]=>1010011=>7
[3,4,2,1,7,6,8,5]=>1010011=>7
[3,4,2,1,6,7,8,5]=>1010001=>7
[2,4,3,1,8,7,6,5]=>0110111=>7
[2,4,3,1,7,8,6,5]=>0110101=>7
[2,4,3,1,6,8,7,5]=>0110011=>7
[2,4,3,1,7,6,8,5]=>0110011=>7
[2,4,3,1,6,7,8,5]=>0110001=>7
[3,2,4,1,8,7,6,5]=>0110111=>7
[3,2,4,1,7,8,6,5]=>0110101=>7
[3,2,4,1,6,8,7,5]=>0110011=>7
[3,2,4,1,7,6,8,5]=>0110011=>7
[3,2,4,1,6,7,8,5]=>0110001=>7
[2,3,4,1,8,7,6,5]=>0010111=>7
[2,3,4,1,7,8,6,5]=>0010101=>7
[2,3,4,1,6,8,7,5]=>0010011=>7
[2,3,4,1,7,6,8,5]=>0010011=>7
[2,3,4,1,6,7,8,5]=>0010001=>7
[1,4,3,2,8,7,6,5]=>0110111=>7
[1,4,3,2,6,8,7,5]=>0110011=>7
[1,4,3,2,7,6,8,5]=>0110011=>7
[1,4,3,2,6,7,8,5]=>0110001=>7
[1,3,4,2,8,7,6,5]=>0010111=>7
[1,3,4,2,7,8,6,5]=>0010101=>7
[1,3,4,2,6,8,7,5]=>0010011=>7
[1,3,4,2,7,6,8,5]=>0010011=>7
[1,3,4,2,6,7,8,5]=>0010001=>7
[2,1,4,3,8,7,6,5]=>1010111=>7
[2,1,4,3,7,8,6,5]=>1010101=>7
[2,1,4,3,6,8,7,5]=>1010011=>7
[2,1,4,3,7,6,8,5]=>1010011=>7
[2,1,4,3,6,7,8,5]=>1010001=>7
[1,2,4,3,8,7,6,5]=>0010111=>7
[1,2,4,3,7,8,6,5]=>0010101=>7
[1,2,4,3,6,8,7,5]=>0010011=>7
[1,2,4,3,7,6,8,5]=>0010011=>7
[1,2,4,3,6,7,8,5]=>0010001=>7
[3,2,1,4,8,7,6,5]=>1100111=>7
[3,2,1,4,7,8,6,5]=>1100101=>7
[3,2,1,4,6,8,7,5]=>1100011=>7
[3,2,1,4,7,6,8,5]=>1100011=>7
[3,2,1,4,6,7,8,5]=>1100001=>7
[2,3,1,4,8,7,6,5]=>0100111=>7
[2,3,1,4,7,8,6,5]=>0100101=>7
[2,3,1,4,7,6,8,5]=>0100011=>7
[2,3,1,4,6,7,8,5]=>0100001=>7
[1,3,2,4,8,7,6,5]=>0100111=>7
[1,3,2,4,6,8,7,5]=>0100011=>7
[1,3,2,4,7,6,8,5]=>0100011=>7
[1,3,2,4,6,7,8,5]=>0100001=>7
[2,1,3,4,8,7,6,5]=>1000111=>7
[2,1,3,4,7,8,6,5]=>1000101=>7
[2,1,3,4,7,6,8,5]=>1000011=>7
[2,1,3,4,6,7,8,5]=>1000001=>7
[1,2,3,4,8,7,6,5]=>0000111=>7
[1,2,3,4,7,8,6,5]=>0000101=>7
[1,2,3,4,6,8,7,5]=>0000011=>7
[1,2,3,4,7,6,8,5]=>0000011=>7
[1,2,3,4,6,7,8,5]=>0000001=>7
[5,4,3,2,1,8,7,6]=>1111011=>7
[5,4,3,2,1,7,8,6]=>1111001=>7
[4,5,3,2,1,8,7,6]=>1101011=>7
[3,5,4,2,1,8,7,6]=>1011011=>7
[3,5,4,2,1,7,8,6]=>1011001=>7
[4,3,5,2,1,8,7,6]=>1011011=>7
[3,4,5,2,1,8,7,6]=>1001011=>7
[3,4,5,2,1,7,8,6]=>1001001=>7
[2,5,4,3,1,8,7,6]=>0111011=>7
[2,5,4,3,1,7,8,6]=>0111001=>7
[2,4,5,3,1,8,7,6]=>0101011=>7
[2,4,5,3,1,7,8,6]=>0101001=>7
[3,2,5,4,1,8,7,6]=>0111011=>7
[3,2,5,4,1,7,8,6]=>0111001=>7
[2,3,5,4,1,8,7,6]=>0011011=>7
[4,3,2,5,1,8,7,6]=>0111011=>7
[4,3,2,5,1,7,8,6]=>0111001=>7
[3,4,2,5,1,8,7,6]=>0011011=>7
[3,4,2,5,1,7,8,6]=>0011001=>7
[2,4,3,5,1,8,7,6]=>0011011=>7
[2,4,3,5,1,7,8,6]=>0011001=>7
[3,2,4,5,1,8,7,6]=>0101011=>7
[2,3,4,5,1,8,7,6]=>0001011=>7
[2,3,4,5,1,7,8,6]=>0001001=>7
[1,5,4,3,2,8,7,6]=>0111011=>7
[1,5,4,3,2,7,8,6]=>0111001=>7
[1,4,5,3,2,8,7,6]=>0101011=>7
[1,4,5,3,2,7,8,6]=>0101001=>7
[1,3,5,4,2,7,8,6]=>0011001=>7
[1,4,3,5,2,8,7,6]=>0011011=>7
[1,4,3,5,2,7,8,6]=>0011001=>7
[1,3,4,5,2,8,7,6]=>0001011=>7
[1,3,4,5,2,7,8,6]=>0001001=>7
[2,1,5,4,3,8,7,6]=>1011011=>7
[2,1,4,5,3,8,7,6]=>1001011=>7
[1,2,5,4,3,8,7,6]=>0011011=>7
[1,2,5,4,3,7,8,6]=>0011001=>7
[1,2,4,5,3,8,7,6]=>0001011=>7
[1,2,4,5,3,7,8,6]=>0001001=>7
[1,3,2,5,4,8,7,6]=>0101011=>7
[1,3,2,5,4,7,8,6]=>0101001=>7
[2,1,3,5,4,8,7,6]=>1001011=>7
[2,1,3,5,4,7,8,6]=>1001001=>7
[1,2,3,5,4,8,7,6]=>0001011=>7
[1,2,3,5,4,7,8,6]=>0001001=>7
[4,3,2,1,5,8,7,6]=>1110011=>7
[4,3,2,1,5,7,8,6]=>1110001=>7
[3,4,2,1,5,8,7,6]=>1010011=>7
[2,4,3,1,5,8,7,6]=>0110011=>7
[3,2,4,1,5,8,7,6]=>0110011=>7
[3,2,4,1,5,7,8,6]=>0110001=>7
[2,3,4,1,5,8,7,6]=>0010011=>7
[2,3,4,1,5,7,8,6]=>0010001=>7
[1,4,3,2,5,8,7,6]=>0110011=>7
[1,4,3,2,5,7,8,6]=>0110001=>7
[1,3,4,2,5,8,7,6]=>0010011=>7
[1,3,4,2,5,7,8,6]=>0010001=>7
[2,1,4,3,5,8,7,6]=>1010011=>7
[2,1,4,3,5,7,8,6]=>1010001=>7
[1,2,4,3,5,8,7,6]=>0010011=>7
[1,2,4,3,5,7,8,6]=>0010001=>7
[3,2,1,4,5,8,7,6]=>1100011=>7
[3,2,1,4,5,7,8,6]=>1100001=>7
[2,3,1,4,5,7,8,6]=>0100001=>7
[1,3,2,4,5,8,7,6]=>0100011=>7
[1,3,2,4,5,7,8,6]=>0100001=>7
[2,1,3,4,5,8,7,6]=>1000011=>7
[2,1,3,4,5,7,8,6]=>1000001=>7
[1,2,3,4,5,8,7,6]=>0000011=>7
[1,2,3,4,5,7,8,6]=>0000001=>7
[6,5,4,3,2,1,8,7]=>1111101=>7
[5,6,4,3,2,1,8,7]=>1110101=>7
[4,6,5,3,2,1,8,7]=>1101101=>7
[5,4,6,3,2,1,8,7]=>1101101=>7
[4,5,6,3,2,1,8,7]=>1100101=>7
[3,6,5,4,2,1,8,7]=>1011101=>7
[3,5,6,4,2,1,8,7]=>1010101=>7
[4,3,6,5,2,1,8,7]=>1011101=>7
[3,4,6,5,2,1,8,7]=>1001101=>7
[5,4,3,6,2,1,8,7]=>1011101=>7
[4,5,3,6,2,1,8,7]=>1001101=>7
[4,3,5,6,2,1,8,7]=>1010101=>7
[3,4,5,6,2,1,8,7]=>1000101=>7
[2,6,5,4,3,1,8,7]=>0111101=>7
[2,5,6,4,3,1,8,7]=>0110101=>7
[2,4,6,5,3,1,8,7]=>0101101=>7
[3,2,6,5,4,1,8,7]=>0111101=>7
[3,2,5,6,4,1,8,7]=>0110101=>7
[2,3,6,5,4,1,8,7]=>0011101=>7
[2,3,5,6,4,1,8,7]=>0010101=>7
[4,3,2,6,5,1,8,7]=>0111101=>7
[3,4,2,6,5,1,8,7]=>0011101=>7
[2,4,3,6,5,1,8,7]=>0011101=>7
[5,4,3,2,6,1,8,7]=>0111101=>7
[4,5,3,2,6,1,8,7]=>0101101=>7
[3,5,4,2,6,1,8,7]=>0011101=>7
[4,3,5,2,6,1,8,7]=>0011101=>7
[3,4,5,2,6,1,8,7]=>0001101=>7
[2,5,4,3,6,1,8,7]=>0011101=>7
[2,4,5,3,6,1,8,7]=>0001101=>7
[3,2,5,4,6,1,8,7]=>0101101=>7
[4,3,2,5,6,1,8,7]=>0110101=>7
[3,4,2,5,6,1,8,7]=>0010101=>7
[2,4,3,5,6,1,8,7]=>0010101=>7
[2,3,4,5,6,1,8,7]=>0000101=>7
[1,6,5,4,3,2,8,7]=>0111101=>7
[1,5,6,4,3,2,8,7]=>0110101=>7
[1,5,4,6,3,2,8,7]=>0101101=>7
[1,3,6,5,4,2,8,7]=>0011101=>7
[1,3,4,5,6,2,8,7]=>0000101=>7
[2,1,6,5,4,3,8,7]=>1011101=>7
[2,1,5,6,4,3,8,7]=>1010101=>7
[2,1,4,6,5,3,8,7]=>1001101=>7
[2,1,5,4,6,3,8,7]=>1001101=>7
[2,1,4,5,6,3,8,7]=>1000101=>7
[1,2,4,5,6,3,8,7]=>0000101=>7
[3,2,1,6,5,4,8,7]=>1101101=>7
[2,3,1,6,5,4,8,7]=>0101101=>7
[1,3,2,6,5,4,8,7]=>0101101=>7
[1,3,2,5,6,4,8,7]=>0100101=>7
[2,1,3,6,5,4,8,7]=>1001101=>7
[2,1,3,5,6,4,8,7]=>1000101=>7
[1,2,3,6,5,4,8,7]=>0001101=>7
[1,2,3,5,6,4,8,7]=>0000101=>7
[4,3,2,1,6,5,8,7]=>1110101=>7
[3,4,2,1,6,5,8,7]=>1010101=>7
[2,4,3,1,6,5,8,7]=>0110101=>7
[3,2,4,1,6,5,8,7]=>0110101=>7
[2,3,4,1,6,5,8,7]=>0010101=>7
[1,3,4,2,6,5,8,7]=>0010101=>7
[2,1,4,3,6,5,8,7]=>1010101=>7
[1,2,4,3,6,5,8,7]=>0010101=>7
[2,3,1,4,6,5,8,7]=>0100101=>7
[1,3,2,4,6,5,8,7]=>0100101=>7
[2,1,3,4,6,5,8,7]=>1000101=>7
[1,2,3,4,6,5,8,7]=>0000101=>7
[5,4,3,2,1,6,8,7]=>1111001=>7
[4,5,3,2,1,6,8,7]=>1101001=>7
[3,5,4,2,1,6,8,7]=>1011001=>7
[4,3,5,2,1,6,8,7]=>1011001=>7
[3,4,5,2,1,6,8,7]=>1001001=>7
[2,5,4,3,1,6,8,7]=>0111001=>7
[2,4,5,3,1,6,8,7]=>0101001=>7
[3,2,5,4,1,6,8,7]=>0111001=>7
[2,3,5,4,1,6,8,7]=>0011001=>7
[2,4,3,5,1,6,8,7]=>0011001=>7
[2,3,4,5,1,6,8,7]=>0001001=>7
[1,4,5,3,2,6,8,7]=>0101001=>7
[1,3,5,4,2,6,8,7]=>0011001=>7
[1,3,4,5,2,6,8,7]=>0001001=>7
[2,1,5,4,3,6,8,7]=>1011001=>7
[2,1,4,5,3,6,8,7]=>1001001=>7
[1,2,5,4,3,6,8,7]=>0011001=>7
[2,1,3,5,4,6,8,7]=>1001001=>7
[1,2,3,5,4,6,8,7]=>0001001=>7
[4,3,2,1,5,6,8,7]=>1110001=>7
[3,4,2,1,5,6,8,7]=>1010001=>7
[3,2,4,1,5,6,8,7]=>0110001=>7
[2,3,4,1,5,6,8,7]=>0010001=>7
[1,4,3,2,5,6,8,7]=>0110001=>7
[1,3,4,2,5,6,8,7]=>0010001=>7
[2,1,4,3,5,6,8,7]=>1010001=>7
[1,2,4,3,5,6,8,7]=>0010001=>7
[3,2,1,4,5,6,8,7]=>1100001=>7
[2,3,1,4,5,6,8,7]=>0100001=>7
[1,3,2,4,5,6,8,7]=>0100001=>7
[2,1,3,4,5,6,8,7]=>1000001=>7
[1,2,3,4,5,6,8,7]=>0000001=>7
[5,7,6,4,3,2,1,8]=>1110110=>7
[4,7,6,5,3,2,1,8]=>1101110=>7
[4,6,7,5,3,2,1,8]=>1101010=>7
[5,4,7,6,3,2,1,8]=>1101110=>7
[4,5,7,6,3,2,1,8]=>1100110=>7
[4,6,5,7,3,2,1,8]=>1100110=>7
[3,5,7,6,4,2,1,8]=>1010110=>7
[3,5,6,7,4,2,1,8]=>1010010=>7
[4,3,7,6,5,2,1,8]=>1011110=>7
[3,4,7,6,5,2,1,8]=>1001110=>7
[5,4,3,7,6,2,1,8]=>1011110=>7
[4,5,3,7,6,2,1,8]=>1001110=>7
[3,5,4,7,6,2,1,8]=>1001110=>7
[4,3,5,7,6,2,1,8]=>1010110=>7
[3,6,5,4,7,2,1,8]=>1001110=>7
[3,5,6,4,7,2,1,8]=>1000110=>7
[4,3,6,5,7,2,1,8]=>1010110=>7
[2,7,6,5,4,3,1,8]=>0111110=>7
[2,6,7,5,4,3,1,8]=>0111010=>7
[2,5,7,6,4,3,1,8]=>0110110=>7
[2,5,6,7,4,3,1,8]=>0110010=>7
[2,4,6,7,5,3,1,8]=>0101010=>7
[2,5,4,7,6,3,1,8]=>0101110=>7
[2,5,6,4,7,3,1,8]=>0100110=>7
[2,5,4,6,7,3,1,8]=>0101010=>7
[2,4,5,6,7,3,1,8]=>0100010=>7
[3,2,7,6,5,4,1,8]=>0111110=>7
[3,2,6,7,5,4,1,8]=>0111010=>7
[3,2,5,7,6,4,1,8]=>0110110=>7
[3,2,6,5,7,4,1,8]=>0110110=>7
[3,2,5,6,7,4,1,8]=>0110010=>7
[2,3,7,6,5,4,1,8]=>0011110=>7
[2,3,6,7,5,4,1,8]=>0011010=>7
[2,3,5,7,6,4,1,8]=>0010110=>7
[2,3,6,5,7,4,1,8]=>0010110=>7
[2,3,5,6,7,4,1,8]=>0010010=>7
[4,3,2,6,7,5,1,8]=>0111010=>7
[3,4,2,7,6,5,1,8]=>0011110=>7
[3,4,2,6,7,5,1,8]=>0011010=>7
[3,2,4,6,7,5,1,8]=>0101010=>7
[2,3,4,7,6,5,1,8]=>0001110=>7
[2,3,4,6,7,5,1,8]=>0001010=>7
[5,4,3,2,7,6,1,8]=>0111110=>7
[4,5,3,2,7,6,1,8]=>0101110=>7
[3,5,4,2,7,6,1,8]=>0011110=>7
[4,3,5,2,7,6,1,8]=>0011110=>7
[3,4,5,2,7,6,1,8]=>0001110=>7
[3,2,5,4,7,6,1,8]=>0101110=>7
[4,3,2,5,7,6,1,8]=>0110110=>7
[3,4,2,5,7,6,1,8]=>0010110=>7
[2,3,4,5,7,6,1,8]=>0000110=>7
[3,6,5,4,2,7,1,8]=>0011110=>7
[3,5,6,4,2,7,1,8]=>0010110=>7
[3,4,6,5,2,7,1,8]=>0001110=>7
[3,5,4,6,2,7,1,8]=>0001110=>7
[2,5,4,6,3,7,1,8]=>0001110=>7
[3,2,6,5,4,7,1,8]=>0101110=>7
[2,3,5,6,4,7,1,8]=>0000110=>7
[4,3,2,6,5,7,1,8]=>0110110=>7
[3,4,2,6,5,7,1,8]=>0010110=>7
[2,4,3,6,5,7,1,8]=>0010110=>7
[2,3,4,6,5,7,1,8]=>0000110=>7
[3,5,4,2,6,7,1,8]=>0011010=>7
[2,5,4,3,6,7,1,8]=>0011010=>7
[2,4,5,3,6,7,1,8]=>0001010=>7
[2,3,5,4,6,7,1,8]=>0001010=>7
[1,7,6,5,4,3,2,8]=>0111110=>7
[1,6,7,5,4,3,2,8]=>0111010=>7
[1,6,5,7,4,3,2,8]=>0110110=>7
[1,5,6,7,4,3,2,8]=>0110010=>7
[1,4,7,6,5,3,2,8]=>0101110=>7
[1,4,6,7,5,3,2,8]=>0101010=>7
[1,5,4,7,6,3,2,8]=>0101110=>7
[1,5,6,4,7,3,2,8]=>0100110=>7
[1,4,6,5,7,3,2,8]=>0100110=>7
[1,5,4,6,7,3,2,8]=>0101010=>7
[1,4,5,6,7,3,2,8]=>0100010=>7
[1,3,7,6,5,4,2,8]=>0011110=>7
[1,3,6,7,5,4,2,8]=>0011010=>7
[1,3,5,7,6,4,2,8]=>0010110=>7
[1,3,6,5,7,4,2,8]=>0010110=>7
[1,3,5,6,7,4,2,8]=>0010010=>7
[1,3,4,6,7,5,2,8]=>0001010=>7
[1,3,5,4,7,6,2,8]=>0001110=>7
[1,4,3,5,7,6,2,8]=>0010110=>7
[1,3,4,5,7,6,2,8]=>0000110=>7
[1,5,4,6,3,7,2,8]=>0001110=>7
[1,4,5,6,3,7,2,8]=>0000110=>7
[1,3,6,5,4,7,2,8]=>0001110=>7
[1,3,5,6,4,7,2,8]=>0000110=>7
[1,4,3,6,5,7,2,8]=>0010110=>7
[1,3,4,6,5,7,2,8]=>0000110=>7
[1,5,4,3,6,7,2,8]=>0011010=>7
[1,4,5,3,6,7,2,8]=>0001010=>7
[1,3,5,4,6,7,2,8]=>0001010=>7
[1,3,4,5,6,7,2,8]=>0000010=>7
[2,1,7,6,5,4,3,8]=>1011110=>7
[2,1,6,7,5,4,3,8]=>1011010=>7
[2,1,5,6,7,4,3,8]=>1010010=>7
[2,1,4,6,7,5,3,8]=>1001010=>7
[2,1,5,4,6,7,3,8]=>1001010=>7
[2,1,4,5,6,7,3,8]=>1000010=>7
[1,2,7,6,5,4,3,8]=>0011110=>7
[1,2,6,7,5,4,3,8]=>0011010=>7
[1,2,5,7,6,4,3,8]=>0010110=>7
[1,2,5,6,7,4,3,8]=>0010010=>7
[1,2,4,6,7,5,3,8]=>0001010=>7
[1,2,5,6,4,7,3,8]=>0000110=>7
[1,2,5,4,6,7,3,8]=>0001010=>7
[1,2,4,5,6,7,3,8]=>0000010=>7
[3,2,1,7,6,5,4,8]=>1101110=>7
[3,2,1,6,7,5,4,8]=>1101010=>7
[3,2,1,5,7,6,4,8]=>1100110=>7
[3,2,1,6,5,7,4,8]=>1100110=>7
[3,2,1,5,6,7,4,8]=>1100010=>7
[2,3,1,6,7,5,4,8]=>0101010=>7
[2,3,1,6,5,7,4,8]=>0100110=>7
[2,3,1,5,6,7,4,8]=>0100010=>7
[1,3,2,7,6,5,4,8]=>0101110=>7
[1,3,2,6,7,5,4,8]=>0101010=>7
[1,3,2,5,7,6,4,8]=>0100110=>7
[1,3,2,6,5,7,4,8]=>0100110=>7
[1,3,2,5,6,7,4,8]=>0100010=>7
[2,1,3,6,7,5,4,8]=>1001010=>7
[1,2,3,7,6,5,4,8]=>0001110=>7
[1,2,3,6,7,5,4,8]=>0001010=>7
[1,2,3,5,7,6,4,8]=>0000110=>7
[1,2,3,6,5,7,4,8]=>0000110=>7
[1,2,3,5,6,7,4,8]=>0000010=>7
[4,3,2,1,7,6,5,8]=>1110110=>7
[4,3,2,1,6,7,5,8]=>1110010=>7
[3,2,4,1,7,6,5,8]=>0110110=>7
[3,2,4,1,6,7,5,8]=>0110010=>7
[2,3,4,1,7,6,5,8]=>0010110=>7
[2,3,4,1,6,7,5,8]=>0010010=>7
[1,4,3,2,7,6,5,8]=>0110110=>7
[1,4,3,2,6,7,5,8]=>0110010=>7
[1,3,4,2,6,7,5,8]=>0010010=>7
[2,1,4,3,6,7,5,8]=>1010010=>7
[1,2,4,3,6,7,5,8]=>0010010=>7
[3,2,1,4,7,6,5,8]=>1100110=>7
[2,3,1,4,6,7,5,8]=>0100010=>7
[1,3,2,4,7,6,5,8]=>0100110=>7
[2,1,3,4,6,7,5,8]=>1000010=>7
[1,2,3,4,7,6,5,8]=>0000110=>7
[1,2,3,4,6,7,5,8]=>0000010=>7
[5,4,3,2,1,7,6,8]=>1111010=>7
[4,5,3,2,1,7,6,8]=>1101010=>7
[3,5,4,2,1,7,6,8]=>1011010=>7
[3,4,5,2,1,7,6,8]=>1001010=>7
[2,5,4,3,1,7,6,8]=>0111010=>7
[2,4,5,3,1,7,6,8]=>0101010=>7
[3,2,5,4,1,7,6,8]=>0111010=>7
[2,3,5,4,1,7,6,8]=>0011010=>7
[3,4,2,5,1,7,6,8]=>0011010=>7
[2,4,3,5,1,7,6,8]=>0011010=>7
[2,3,4,5,1,7,6,8]=>0001010=>7
[1,5,4,3,2,7,6,8]=>0111010=>7
[1,4,5,3,2,7,6,8]=>0101010=>7
[1,3,5,4,2,7,6,8]=>0011010=>7
[1,4,3,5,2,7,6,8]=>0011010=>7
[1,3,4,5,2,7,6,8]=>0001010=>7
[2,1,5,4,3,7,6,8]=>1011010=>7
[1,2,4,5,3,7,6,8]=>0001010=>7
[3,2,1,5,4,7,6,8]=>1101010=>7
[2,3,1,5,4,7,6,8]=>0101010=>7
[1,3,2,5,4,7,6,8]=>0101010=>7
[1,2,3,5,4,7,6,8]=>0001010=>7
[4,3,2,1,5,7,6,8]=>1110010=>7
[3,2,4,1,5,7,6,8]=>0110010=>7
[2,3,4,1,5,7,6,8]=>0010010=>7
[1,4,3,2,5,7,6,8]=>0110010=>7
[1,3,4,2,5,7,6,8]=>0010010=>7
[1,2,4,3,5,7,6,8]=>0010010=>7
[3,2,1,4,5,7,6,8]=>1100010=>7
[2,3,1,4,5,7,6,8]=>0100010=>7
[1,3,2,4,5,7,6,8]=>0100010=>7
[2,1,3,4,5,7,6,8]=>1000010=>7
[1,2,3,4,5,7,6,8]=>0000010=>7
[3,6,5,4,2,1,7,8]=>1011100=>7
[4,3,6,5,2,1,7,8]=>1011100=>7
[2,4,6,5,3,1,7,8]=>0101100=>7
[2,4,5,6,3,1,7,8]=>0100100=>7
[2,3,6,5,4,1,7,8]=>0011100=>7
[2,3,5,6,4,1,7,8]=>0010100=>7
[4,3,2,6,5,1,7,8]=>0111100=>7
[2,4,3,6,5,1,7,8]=>0011100=>7
[2,3,4,6,5,1,7,8]=>0001100=>7
[3,5,4,2,6,1,7,8]=>0011100=>7
[2,3,5,4,6,1,7,8]=>0001100=>7
[1,6,5,4,3,2,7,8]=>0111100=>7
[1,5,6,4,3,2,7,8]=>0110100=>7
[1,4,6,5,3,2,7,8]=>0101100=>7
[1,5,4,6,3,2,7,8]=>0101100=>7
[1,4,5,6,3,2,7,8]=>0100100=>7
[1,3,5,6,4,2,7,8]=>0010100=>7
[1,4,3,6,5,2,7,8]=>0011100=>7
[1,5,4,3,6,2,7,8]=>0011100=>7
[1,4,5,3,6,2,7,8]=>0001100=>7
[1,3,5,4,6,2,7,8]=>0001100=>7
[1,4,3,5,6,2,7,8]=>0010100=>7
[1,3,4,5,6,2,7,8]=>0000100=>7
[2,1,5,6,4,3,7,8]=>1010100=>7
[2,1,4,6,5,3,7,8]=>1001100=>7
[1,2,6,5,4,3,7,8]=>0011100=>7
[1,2,5,6,4,3,7,8]=>0010100=>7
[1,2,4,6,5,3,7,8]=>0001100=>7
[1,2,4,5,6,3,7,8]=>0000100=>7
[3,2,1,6,5,4,7,8]=>1101100=>7
[3,2,1,5,6,4,7,8]=>1100100=>7
[2,3,1,6,5,4,7,8]=>0101100=>7
[2,3,1,5,6,4,7,8]=>0100100=>7
[1,3,2,6,5,4,7,8]=>0101100=>7
[1,3,2,5,6,4,7,8]=>0100100=>7
[1,2,3,6,5,4,7,8]=>0001100=>7
[1,2,3,5,6,4,7,8]=>0000100=>7
[4,3,2,1,6,5,7,8]=>1110100=>7
[2,4,3,1,6,5,7,8]=>0110100=>7
[3,2,4,1,6,5,7,8]=>0110100=>7
[2,3,4,1,6,5,7,8]=>0010100=>7
[2,1,4,3,6,5,7,8]=>1010100=>7
[1,2,4,3,6,5,7,8]=>0010100=>7
[1,3,2,4,6,5,7,8]=>0100100=>7
[2,1,3,4,6,5,7,8]=>1000100=>7
[1,2,3,4,6,5,7,8]=>0000100=>7
[3,5,4,2,1,6,7,8]=>1011000=>7
[2,5,4,3,1,6,7,8]=>0111000=>7
[2,4,5,3,1,6,7,8]=>0101000=>7
[3,2,5,4,1,6,7,8]=>0111000=>7
[2,3,5,4,1,6,7,8]=>0011000=>7
[2,4,3,5,1,6,7,8]=>0011000=>7
[1,5,4,3,2,6,7,8]=>0111000=>7
[1,4,5,3,2,6,7,8]=>0101000=>7
[1,3,5,4,2,6,7,8]=>0011000=>7
[1,3,4,5,2,6,7,8]=>0001000=>7
[2,1,5,4,3,6,7,8]=>1011000=>7
[2,1,4,5,3,6,7,8]=>1001000=>7
[1,2,5,4,3,6,7,8]=>0011000=>7
[3,2,1,5,4,6,7,8]=>1101000=>7
[2,3,1,5,4,6,7,8]=>0101000=>7
[1,3,2,5,4,6,7,8]=>0101000=>7
[2,1,3,5,4,6,7,8]=>1001000=>7
[1,2,3,5,4,6,7,8]=>0001000=>7
[2,4,3,1,5,6,7,8]=>0110000=>7
[1,4,3,2,5,6,7,8]=>0110000=>7
[1,3,4,2,5,6,7,8]=>0010000=>7
[2,1,4,3,5,6,7,8]=>1010000=>7
[1,2,4,3,5,6,7,8]=>0010000=>7
[1,3,2,4,5,6,7,8]=>0100000=>7
[1,2,3,4,8,6,7,5]=>0000011=>7
[1,2,3,5,8,6,7,4]=>0000011=>7
[1,2,3,7,5,6,4,8]=>0000110=>7
[1,2,3,7,5,6,8,4]=>0000011=>7
[1,2,3,8,5,6,7,4]=>0000011=>7
[1,2,3,8,5,7,6,4]=>0000111=>7
[1,2,3,8,6,5,7,4]=>0000111=>7
[1,2,3,8,6,7,5,4]=>0001011=>7
[1,2,4,3,8,6,7,5]=>0010011=>7
[1,2,4,5,8,6,7,3]=>0000011=>7
[1,2,4,7,5,6,8,3]=>0000011=>7
[1,2,4,8,5,6,7,3]=>0000011=>7
[1,2,4,8,6,5,7,3]=>0000111=>7
[1,2,5,4,8,6,7,3]=>0001011=>7
[1,2,6,4,5,3,7,8]=>0001100=>7
[1,2,6,4,5,7,8,3]=>0000101=>7
[1,2,6,4,5,8,7,3]=>0000111=>7
[1,2,7,4,5,6,8,3]=>0000011=>7
[1,2,8,4,5,6,7,3]=>0000011=>7
[1,2,8,4,6,7,5,3]=>0001011=>7
[1,2,8,4,7,6,5,3]=>0001111=>7
[1,2,7,5,4,6,3,8]=>0001110=>7
[1,2,7,5,4,6,8,3]=>0001011=>7
[1,2,8,5,4,6,7,3]=>0001011=>7
[1,2,8,5,4,7,6,3]=>0001111=>7
[1,2,8,5,6,4,7,3]=>0000111=>7
[1,2,8,5,6,7,4,3]=>0010011=>7
[1,2,8,6,5,4,7,3]=>0001111=>7
[1,2,8,6,5,7,4,3]=>0010111=>7
[1,2,8,7,5,6,4,3]=>0010111=>7
[1,3,2,4,8,6,7,5]=>0100011=>7
[1,3,2,7,5,6,8,4]=>0100011=>7
[1,3,2,8,5,7,6,4]=>0100111=>7
[1,3,2,8,6,5,7,4]=>0100111=>7
[1,3,2,8,6,7,5,4]=>0101011=>7
[1,3,4,2,8,6,7,5]=>0010011=>7
[1,3,4,5,8,6,7,2]=>0000011=>7
[1,3,4,8,5,6,7,2]=>0000011=>7
[1,3,4,8,6,5,7,2]=>0000111=>7
[1,3,4,8,6,7,5,2]=>0001011=>7
[1,3,6,4,5,2,8,7]=>0001101=>7
[1,3,6,4,5,7,2,8]=>0000110=>7
[1,3,6,4,5,7,8,2]=>0000101=>7
[1,3,6,4,5,8,7,2]=>0000111=>7
[1,3,7,4,5,6,2,8]=>0000110=>7
[1,3,7,4,5,6,8,2]=>0000011=>7
[1,3,8,4,5,6,7,2]=>0000011=>7
[1,3,8,4,6,5,7,2]=>0000111=>7
[1,3,8,4,6,7,5,2]=>0001011=>7
[1,3,8,5,4,6,7,2]=>0001011=>7
[1,3,8,5,4,7,6,2]=>0001111=>7
[1,3,8,5,6,7,4,2]=>0010011=>7
[1,3,8,5,7,6,4,2]=>0010111=>7
[1,3,8,6,5,7,4,2]=>0010111=>7
[1,3,8,7,5,6,4,2]=>0010111=>7
[1,4,3,2,8,6,7,5]=>0110011=>7
[1,4,3,5,8,6,7,2]=>0010011=>7
[1,4,3,8,5,6,7,2]=>0010011=>7
[1,4,3,8,5,7,6,2]=>0010111=>7
[1,4,3,8,6,5,7,2]=>0010111=>7
[1,4,3,8,6,7,5,2]=>0011011=>7
[1,5,3,4,2,6,7,8]=>0011000=>7
[1,5,3,4,2,7,8,6]=>0011001=>7
[1,5,3,4,2,8,7,6]=>0011011=>7
[1,5,3,4,6,2,7,8]=>0001100=>7
[1,5,3,4,6,2,8,7]=>0001101=>7
[1,5,3,4,6,7,2,8]=>0001010=>7
[1,5,3,4,6,7,8,2]=>0001001=>7
[1,5,3,4,7,6,2,8]=>0001110=>7
[1,5,3,4,8,6,7,2]=>0001011=>7
[1,6,3,4,5,2,7,8]=>0001100=>7
[1,6,3,4,5,8,7,2]=>0000111=>7
[1,7,3,4,5,6,2,8]=>0000110=>7
[1,7,3,4,5,6,8,2]=>0000011=>7
[1,8,3,4,5,6,7,2]=>0000011=>7
[1,8,3,4,6,7,5,2]=>0001011=>7
[1,8,3,4,7,6,5,2]=>0001111=>7
[1,6,3,5,4,2,7,8]=>0011100=>7
[1,6,3,5,4,8,7,2]=>0001111=>7
[1,7,3,5,4,6,2,8]=>0001110=>7
[1,8,3,5,4,6,7,2]=>0001011=>7
[1,8,3,5,4,7,6,2]=>0001111=>7
[1,8,3,5,6,4,7,2]=>0000111=>7
[1,8,3,5,6,7,4,2]=>0010011=>7
[1,8,3,5,7,6,4,2]=>0010111=>7
[1,7,3,6,5,4,2,8]=>0011110=>7
[1,7,3,6,5,4,8,2]=>0001111=>7
[1,8,3,6,5,4,7,2]=>0001111=>7
[1,8,3,7,5,6,4,2]=>0010111=>7
[1,8,3,7,6,5,4,2]=>0011111=>7
[1,6,4,3,5,2,7,8]=>0011100=>7
[1,6,4,3,5,8,7,2]=>0010111=>7
[1,8,4,3,5,6,7,2]=>0010011=>7
[1,8,4,3,5,7,6,2]=>0010111=>7
[1,7,4,3,6,5,8,2]=>0010111=>7
[1,8,4,3,6,5,7,2]=>0010111=>7
[1,8,4,3,6,7,5,2]=>0011011=>7
[1,6,4,5,3,2,7,8]=>0101100=>7
[1,6,4,5,3,2,8,7]=>0101101=>7
[1,6,4,5,3,8,7,2]=>0001111=>7
[1,7,4,5,3,6,8,2]=>0001011=>7
[1,8,4,5,3,6,7,2]=>0001011=>7
[1,7,4,5,6,3,2,8]=>0100110=>7
[1,7,4,5,6,3,8,2]=>0000111=>7
[1,8,4,5,6,3,7,2]=>0000111=>7
[1,8,4,5,6,7,3,2]=>0100011=>7
[1,7,4,6,5,3,2,8]=>0101110=>7
[1,8,4,6,5,3,7,2]=>0001111=>7
[1,8,4,6,5,7,3,2]=>0100111=>7
[1,8,4,7,6,5,3,2]=>0101111=>7
[1,7,5,4,3,6,2,8]=>0011110=>7
[1,7,5,4,3,6,8,2]=>0011011=>7
[1,8,5,4,3,6,7,2]=>0011011=>7
[1,8,5,4,3,7,6,2]=>0011111=>7
[1,8,5,4,6,3,7,2]=>0001111=>7
[1,8,5,4,6,7,3,2]=>0101011=>7
[1,8,5,4,7,6,3,2]=>0101111=>7
[1,7,6,4,5,3,2,8]=>0101110=>7
[1,8,6,4,5,3,7,2]=>0001111=>7
[1,8,6,4,5,7,3,2]=>0100111=>7
[1,8,7,4,5,6,3,2]=>0100111=>7
[1,8,7,4,6,5,3,2]=>0101111=>7
[1,8,6,5,4,3,7,2]=>0011111=>7
[1,8,6,5,4,7,3,2]=>0101111=>7
[1,8,7,5,4,6,3,2]=>0101111=>7
[1,8,7,5,6,4,3,2]=>0110111=>7
[2,1,3,4,8,6,7,5]=>1000011=>7
[2,1,3,5,8,6,7,4]=>1000011=>7
[2,1,3,8,5,6,7,4]=>1000011=>7
[2,1,3,8,5,7,6,4]=>1000111=>7
[2,1,3,8,6,5,7,4]=>1000111=>7
[2,1,3,8,6,7,5,4]=>1001011=>7
[2,1,4,3,8,6,7,5]=>1010011=>7
[2,1,4,5,8,6,7,3]=>1000011=>7
[2,1,4,8,5,6,7,3]=>1000011=>7
[2,1,4,8,5,7,6,3]=>1000111=>7
[2,1,4,8,6,5,7,3]=>1000111=>7
[2,1,4,8,6,7,5,3]=>1001011=>7
[2,1,6,4,5,3,8,7]=>1001101=>7
[2,1,6,4,5,7,8,3]=>1000101=>7
[2,1,6,4,5,8,7,3]=>1000111=>7
[2,1,8,4,5,6,7,3]=>1000011=>7
[2,1,8,4,5,7,6,3]=>1000111=>7
[2,1,7,4,6,5,8,3]=>1000111=>7
[2,1,8,4,6,5,7,3]=>1000111=>7
[2,1,8,4,6,7,5,3]=>1001011=>7
[2,1,8,4,7,6,5,3]=>1001111=>7
[2,1,7,5,4,6,8,3]=>1001011=>7
[2,1,8,5,4,6,7,3]=>1001011=>7
[2,1,8,5,4,7,6,3]=>1001111=>7
[2,1,7,5,6,4,8,3]=>1000111=>7
[2,1,8,5,6,7,4,3]=>1010011=>7
[2,1,8,5,7,6,4,3]=>1010111=>7
[2,1,8,6,5,4,7,3]=>1001111=>7
[2,1,8,6,5,7,4,3]=>1010111=>7
[2,1,8,7,5,6,4,3]=>1010111=>7
[2,3,1,5,8,6,7,4]=>0100011=>7
[2,3,1,7,5,6,4,8]=>0100110=>7
[2,3,1,8,5,6,7,4]=>0100011=>7
[2,3,1,8,6,7,5,4]=>0101011=>7
[2,3,4,1,8,6,7,5]=>0010011=>7
[2,3,4,5,8,6,7,1]=>0000011=>7
[2,3,4,7,5,6,1,8]=>0000110=>7
[2,3,4,7,5,6,8,1]=>0000011=>7
[2,3,4,8,5,6,7,1]=>0000011=>7
[2,3,4,8,5,7,6,1]=>0000111=>7
[2,3,4,8,6,5,7,1]=>0000111=>7
[2,3,4,8,6,7,5,1]=>0001011=>7
[2,3,5,4,8,6,7,1]=>0001011=>7
[2,3,6,4,5,1,7,8]=>0001100=>7
[2,3,6,4,5,1,8,7]=>0001101=>7
[2,3,6,4,5,7,8,1]=>0000101=>7
[2,3,6,4,5,8,7,1]=>0000111=>7
[2,3,7,4,5,6,8,1]=>0000011=>7
[2,3,8,4,5,6,7,1]=>0000011=>7
[2,3,7,4,6,5,8,1]=>0000111=>7
[2,3,8,4,6,7,5,1]=>0001011=>7
[2,3,7,5,4,6,1,8]=>0001110=>7
[2,3,7,5,4,6,8,1]=>0001011=>7
[2,3,8,5,4,6,7,1]=>0001011=>7
[2,3,7,5,6,4,1,8]=>0010110=>7
[2,3,7,5,6,4,8,1]=>0000111=>7
[2,3,8,5,6,4,7,1]=>0000111=>7
[2,3,8,5,6,7,4,1]=>0010011=>7
[2,3,8,5,7,6,4,1]=>0010111=>7
[2,3,8,6,5,4,7,1]=>0001111=>7
[2,4,3,1,8,6,7,5]=>0110011=>7
[2,4,3,5,8,6,7,1]=>0010011=>7
[2,4,3,7,5,6,8,1]=>0010011=>7
[2,4,3,8,5,6,7,1]=>0010011=>7
[2,4,3,8,5,7,6,1]=>0010111=>7
[2,4,3,8,6,5,7,1]=>0010111=>7
[2,4,3,8,6,7,5,1]=>0011011=>7
[2,5,3,4,1,6,7,8]=>0011000=>7
[2,5,3,4,1,8,7,6]=>0011011=>7
[2,5,3,4,6,7,1,8]=>0001010=>7
[2,5,3,4,6,7,8,1]=>0001001=>7
[2,5,3,4,6,8,7,1]=>0001011=>7
[2,5,3,4,7,6,8,1]=>0001011=>7
[2,5,3,4,8,6,7,1]=>0001011=>7
[2,5,3,4,8,7,6,1]=>0001111=>7
[2,6,3,4,5,1,7,8]=>0001100=>7
[2,6,3,4,5,7,8,1]=>0000101=>7
[2,6,3,4,5,8,7,1]=>0000111=>7
[2,7,3,4,5,6,1,8]=>0000110=>7
[2,8,3,4,5,6,7,1]=>0000011=>7
[2,8,3,4,5,7,6,1]=>0000111=>7
[2,6,3,5,4,1,7,8]=>0011100=>7
[2,6,3,5,4,1,8,7]=>0011101=>7
[2,6,3,5,4,7,8,1]=>0001101=>7
[2,6,3,5,4,8,7,1]=>0001111=>7
[2,7,3,5,4,6,8,1]=>0001011=>7
[2,8,3,5,4,7,6,1]=>0001111=>7
[2,7,3,5,6,4,8,1]=>0000111=>7
[2,8,3,5,6,7,4,1]=>0010011=>7
[2,8,3,5,7,6,4,1]=>0010111=>7
[2,7,3,6,5,4,1,8]=>0011110=>7
[2,8,3,7,5,6,4,1]=>0010111=>7
[2,8,3,7,6,5,4,1]=>0011111=>7
[2,5,4,3,8,6,7,1]=>0011011=>7
[2,6,4,3,5,1,8,7]=>0011101=>7
[2,6,4,3,5,7,8,1]=>0010101=>7
[2,6,4,3,5,8,7,1]=>0010111=>7
[2,7,4,3,5,6,8,1]=>0010011=>7
[2,8,4,3,5,6,7,1]=>0010011=>7
[2,8,4,3,5,7,6,1]=>0010111=>7
[2,7,4,3,6,5,8,1]=>0010111=>7
[2,8,4,3,6,5,7,1]=>0010111=>7
[2,8,4,3,6,7,5,1]=>0011011=>7
[2,8,4,3,7,6,5,1]=>0011111=>7
[2,6,4,5,3,1,7,8]=>0101100=>7
[2,6,4,5,3,1,8,7]=>0101101=>7
[2,6,4,5,3,7,8,1]=>0001101=>7
[2,6,4,5,3,8,7,1]=>0001111=>7
[2,8,4,5,3,6,7,1]=>0001011=>7
[2,7,4,5,6,3,1,8]=>0100110=>7
[2,7,4,5,6,3,8,1]=>0000111=>7
[2,8,4,5,6,3,7,1]=>0000111=>7
[2,8,4,5,6,7,3,1]=>0100011=>7
[2,7,4,6,5,3,1,8]=>0101110=>7
[2,7,4,6,5,3,8,1]=>0001111=>7
[2,8,4,6,5,3,7,1]=>0001111=>7
[2,8,4,7,6,5,3,1]=>0101111=>7
[2,7,5,4,3,6,8,1]=>0011011=>7
[2,8,5,4,3,6,7,1]=>0011011=>7
[2,8,5,4,3,7,6,1]=>0011111=>7
[2,7,5,4,6,3,8,1]=>0001111=>7
[2,8,5,4,6,7,3,1]=>0101011=>7
[2,8,5,4,7,6,3,1]=>0101111=>7
[2,7,6,4,5,3,8,1]=>0001111=>7
[2,8,7,4,5,6,3,1]=>0100111=>7
[2,8,7,4,6,5,3,1]=>0101111=>7
[2,8,7,5,4,6,3,1]=>0101111=>7
[2,8,7,5,6,4,3,1]=>0110111=>7
[3,2,1,4,8,6,7,5]=>1100011=>7
[3,2,1,5,8,6,7,4]=>1100011=>7
[3,2,1,7,5,6,4,8]=>1100110=>7
[3,2,1,7,5,6,8,4]=>1100011=>7
[3,2,1,8,5,6,7,4]=>1100011=>7
[3,2,1,8,5,7,6,4]=>1100111=>7
[3,2,1,8,6,5,7,4]=>1100111=>7
[3,2,1,8,6,7,5,4]=>1101011=>7
[3,2,4,1,8,6,7,5]=>0110011=>7
[3,2,4,5,8,6,7,1]=>0100011=>7
[3,2,4,7,5,6,8,1]=>0100011=>7
[3,2,4,8,5,6,7,1]=>0100011=>7
[3,2,4,8,6,7,5,1]=>0101011=>7
[3,2,5,4,8,6,7,1]=>0101011=>7
[3,2,6,4,5,7,1,8]=>0100110=>7
[3,2,7,4,5,6,1,8]=>0100110=>7
[3,2,8,4,5,6,7,1]=>0100011=>7
[3,2,7,4,6,5,1,8]=>0101110=>7
[3,2,7,4,6,5,8,1]=>0100111=>7
[3,2,7,5,4,6,1,8]=>0101110=>7
[3,2,8,5,4,6,7,1]=>0101011=>7
[3,2,8,5,4,7,6,1]=>0101111=>7
[3,2,7,5,6,4,1,8]=>0110110=>7
[3,2,7,5,6,4,8,1]=>0100111=>7
[3,2,8,5,7,6,4,1]=>0110111=>7
[3,2,8,6,5,7,4,1]=>0110111=>7
[3,2,8,7,5,6,4,1]=>0110111=>7
[4,2,3,1,5,7,6,8]=>0110010=>7
[4,2,3,1,5,7,8,6]=>0110001=>7
[4,2,3,1,5,8,7,6]=>0110011=>7
[4,2,3,1,6,5,7,8]=>0110100=>7
[4,2,3,1,6,5,8,7]=>0110101=>7
[4,2,3,1,6,7,8,5]=>0110001=>7
[4,2,3,1,6,8,7,5]=>0110011=>7
[4,2,3,1,7,6,5,8]=>0110110=>7
[4,2,3,1,7,6,8,5]=>0110011=>7
[4,2,3,1,8,6,7,5]=>0110011=>7
[4,2,3,1,8,7,6,5]=>0110111=>7
[4,2,3,5,1,6,8,7]=>0011001=>7
[4,2,3,5,1,7,8,6]=>0011001=>7
[4,2,3,5,1,8,7,6]=>0011011=>7
[4,2,3,5,6,1,8,7]=>0010101=>7
[4,2,3,5,6,8,7,1]=>0010011=>7
[4,2,3,5,7,6,1,8]=>0010110=>7
[4,2,3,5,8,7,6,1]=>0010111=>7
[4,2,3,6,5,1,7,8]=>0011100=>7
[4,2,3,6,5,1,8,7]=>0011101=>7
[4,2,3,6,5,8,7,1]=>0010111=>7
[4,2,3,7,5,6,1,8]=>0010110=>7
[4,2,3,7,5,6,8,1]=>0010011=>7
[4,2,3,8,5,6,7,1]=>0010011=>7
[4,2,3,8,5,7,6,1]=>0010111=>7
[4,2,3,7,6,5,8,1]=>0010111=>7
[4,2,3,8,6,7,5,1]=>0011011=>7
[4,2,3,8,7,6,5,1]=>0011111=>7
[5,2,3,4,1,6,8,7]=>0011001=>7
[5,2,3,4,1,7,8,6]=>0011001=>7
[5,2,3,4,1,8,7,6]=>0011011=>7
[5,2,3,4,6,1,8,7]=>0001101=>7
[5,2,3,4,7,6,1,8]=>0001110=>7
[5,2,3,4,8,6,7,1]=>0001011=>7
[5,2,3,4,8,7,6,1]=>0001111=>7
[6,2,3,4,5,1,8,7]=>0001101=>7
[6,2,3,4,5,8,7,1]=>0000111=>7
[8,2,3,4,5,7,6,1]=>0000111=>7
[7,2,3,4,6,5,1,8]=>0001110=>7
[8,2,3,4,7,6,5,1]=>0001111=>7
[6,2,3,5,4,1,7,8]=>0011100=>7
[6,2,3,5,4,1,8,7]=>0011101=>7
[6,2,3,5,4,7,1,8]=>0001110=>7
[6,2,3,5,4,7,8,1]=>0001101=>7
[7,2,3,5,4,6,1,8]=>0001110=>7
[8,2,3,5,4,6,7,1]=>0001011=>7
[8,2,3,5,4,7,6,1]=>0001111=>7
[7,2,3,5,6,4,1,8]=>0010110=>7
[8,2,3,5,6,7,4,1]=>0010011=>7
[8,2,3,5,7,6,4,1]=>0010111=>7
[7,2,3,6,5,4,1,8]=>0011110=>7
[8,2,3,6,5,4,7,1]=>0001111=>7
[8,2,3,7,5,6,4,1]=>0010111=>7
[8,2,3,7,6,5,4,1]=>0011111=>7
[5,2,4,3,1,6,7,8]=>0111000=>7
[5,2,4,3,1,6,8,7]=>0111001=>7
[5,2,4,3,1,7,6,8]=>0111010=>7
[5,2,4,3,1,8,7,6]=>0111011=>7
[5,2,4,3,6,1,7,8]=>0011100=>7
[5,2,4,3,6,1,8,7]=>0011101=>7
[5,2,4,3,6,7,1,8]=>0011010=>7
[5,2,4,3,7,6,1,8]=>0011110=>7
[5,2,4,3,7,6,8,1]=>0011011=>7
[5,2,4,3,8,7,6,1]=>0011111=>7
[6,2,4,3,5,1,8,7]=>0011101=>7
[7,2,4,3,6,5,1,8]=>0011110=>7
[7,2,4,3,6,5,8,1]=>0010111=>7
[8,2,4,3,6,5,7,1]=>0010111=>7
[8,2,4,3,6,7,5,1]=>0011011=>7
[8,2,4,3,7,6,5,1]=>0011111=>7
[6,2,4,5,3,1,7,8]=>0101100=>7
[6,2,4,5,3,1,8,7]=>0101101=>7
[6,2,4,5,3,8,7,1]=>0001111=>7
[7,2,4,5,3,6,1,8]=>0001110=>7
[7,2,4,5,3,6,8,1]=>0001011=>7
[8,2,4,5,3,7,6,1]=>0001111=>7
[8,2,4,5,6,3,7,1]=>0000111=>7
[8,2,4,5,6,7,3,1]=>0100011=>7
[8,2,4,5,7,6,3,1]=>0100111=>7
[7,2,4,6,5,3,1,8]=>0101110=>7
[7,2,4,6,5,3,8,1]=>0001111=>7
[8,2,4,7,5,6,3,1]=>0100111=>7
[8,2,4,7,6,5,3,1]=>0101111=>7
[6,2,5,4,3,1,7,8]=>0111100=>7
[6,2,5,4,3,1,8,7]=>0111101=>7
[6,2,5,4,3,7,1,8]=>0011110=>7
[6,2,5,4,3,7,8,1]=>0011101=>7
[7,2,5,4,3,6,1,8]=>0011110=>7
[8,2,5,4,3,6,7,1]=>0011011=>7
[8,2,5,4,3,7,6,1]=>0011111=>7
[7,2,5,4,6,3,8,1]=>0001111=>7
[8,2,5,4,7,6,3,1]=>0101111=>7
[7,2,6,4,5,3,1,8]=>0101110=>7
[7,2,6,4,5,3,8,1]=>0001111=>7
[8,2,6,4,5,3,7,1]=>0001111=>7
[8,2,6,4,5,7,3,1]=>0100111=>7
[8,2,7,4,5,6,3,1]=>0100111=>7
[8,2,7,4,6,5,3,1]=>0101111=>7
[7,2,6,5,4,3,1,8]=>0111110=>7
[7,2,6,5,4,3,8,1]=>0011111=>7
[8,2,6,5,4,3,7,1]=>0011111=>7
[8,2,6,5,4,7,3,1]=>0101111=>7
[8,2,7,5,4,6,3,1]=>0101111=>7
[8,2,7,5,6,4,3,1]=>0110111=>7
[8,2,7,6,5,4,3,1]=>0111111=>7
[4,3,2,1,8,6,7,5]=>1110011=>7
[4,3,2,7,5,6,8,1]=>0110011=>7
[4,3,2,8,5,6,7,1]=>0110011=>7
[4,3,2,8,5,7,6,1]=>0110111=>7
[4,3,2,8,6,7,5,1]=>0111011=>7
[5,3,2,4,1,6,8,7]=>0111001=>7
[5,3,2,4,1,7,6,8]=>0111010=>7
[5,3,2,4,1,8,7,6]=>0111011=>7
[5,3,2,4,6,1,8,7]=>0101101=>7
[5,3,2,4,7,6,1,8]=>0101110=>7
[8,3,2,4,6,5,7,1]=>0100111=>7
[8,3,2,4,6,7,5,1]=>0101011=>7
[8,3,2,4,7,6,5,1]=>0101111=>7
[6,3,2,5,4,1,7,8]=>0111100=>7
[6,3,2,5,4,1,8,7]=>0111101=>7
[6,3,2,5,4,7,1,8]=>0101110=>7
[6,3,2,5,4,7,8,1]=>0101101=>7
[6,3,2,5,4,8,7,1]=>0101111=>7
[7,3,2,5,4,6,1,8]=>0101110=>7
[8,3,2,5,4,7,6,1]=>0101111=>7
[7,3,2,5,6,4,8,1]=>0100111=>7
[8,3,2,5,6,4,7,1]=>0100111=>7
[8,3,2,5,6,7,4,1]=>0110011=>7
[8,3,2,5,7,6,4,1]=>0110111=>7
[8,3,2,6,5,7,4,1]=>0110111=>7
[8,3,2,7,5,6,4,1]=>0110111=>7
[8,3,2,7,6,5,4,1]=>0111111=>7
[5,3,4,2,1,6,8,7]=>1011001=>7
[5,3,4,2,1,7,8,6]=>1011001=>7
[5,3,4,2,1,8,7,6]=>1011011=>7
[5,3,4,2,7,6,1,8]=>0011110=>7
[7,3,4,2,6,5,1,8]=>0011110=>7
[7,3,4,2,6,5,8,1]=>0010111=>7
[8,3,4,2,6,5,7,1]=>0010111=>7
[6,3,4,5,2,1,8,7]=>1001101=>7
[6,3,4,5,2,8,7,1]=>0001111=>7
[8,3,4,5,2,7,6,1]=>0001111=>7
[8,3,4,5,7,6,2,1]=>1000111=>7
[7,3,4,6,5,2,1,8]=>1001110=>7
[8,3,4,7,6,5,2,1]=>1001111=>7
[6,3,5,4,2,1,8,7]=>1011101=>7
[6,3,5,4,2,7,1,8]=>0011110=>7
[6,3,5,4,2,7,8,1]=>0011101=>7
[6,3,5,4,2,8,7,1]=>0011111=>7
[7,3,5,4,2,6,1,8]=>0011110=>7
[8,3,5,4,2,6,7,1]=>0011011=>7
[8,3,5,4,2,7,6,1]=>0011111=>7
[7,3,5,4,6,2,1,8]=>1001110=>7
[7,3,5,4,6,2,8,1]=>0001111=>7
[8,3,5,4,6,7,2,1]=>1001011=>7
[8,3,5,4,7,6,2,1]=>1001111=>7
[7,3,6,4,5,2,1,8]=>1001110=>7
[8,3,6,4,5,2,7,1]=>0001111=>7
[8,3,6,4,5,7,2,1]=>1000111=>7
[8,3,7,4,5,6,2,1]=>1000111=>7
[8,3,7,4,6,5,2,1]=>1001111=>7
[7,3,6,5,4,2,1,8]=>1011110=>7
[7,3,6,5,4,2,8,1]=>0011111=>7
[8,3,6,5,4,2,7,1]=>0011111=>7
[8,3,6,5,4,7,2,1]=>1001111=>7
[8,3,7,5,4,6,2,1]=>1001111=>7
[8,3,7,5,6,4,2,1]=>1010111=>7
[8,3,7,6,5,4,2,1]=>1011111=>7
[5,4,3,2,8,6,7,1]=>0111011=>7
[6,4,3,2,5,1,8,7]=>0111101=>7
[6,4,3,2,5,8,7,1]=>0110111=>7
[8,4,3,2,5,7,6,1]=>0110111=>7
[7,4,3,2,6,5,1,8]=>0111110=>7
[7,4,3,2,6,5,8,1]=>0110111=>7
[8,4,3,2,6,5,7,1]=>0110111=>7
[8,4,3,2,6,7,5,1]=>0111011=>7
[8,4,3,2,7,6,5,1]=>0111111=>7
[6,4,3,5,2,1,8,7]=>1011101=>7
[8,4,3,5,2,7,6,1]=>0011111=>7
[8,4,3,5,7,6,2,1]=>1010111=>7
[7,4,3,6,5,2,1,8]=>1011110=>7
[7,4,3,6,5,2,8,1]=>0011111=>7
[8,4,3,7,5,6,2,1]=>1010111=>7
[8,4,3,7,6,5,2,1]=>1011111=>7
[6,5,3,4,2,1,8,7]=>1011101=>7
[8,5,3,4,2,7,6,1]=>0011111=>7
[8,5,3,4,7,6,2,1]=>1001111=>7
[8,7,3,4,6,5,2,1]=>1001111=>7
[7,6,3,5,4,2,1,8]=>1011110=>7
[7,6,3,5,4,2,8,1]=>0011111=>7
[8,6,3,5,4,2,7,1]=>0011111=>7
[8,6,3,5,4,7,2,1]=>1001111=>7
[8,7,3,5,4,6,2,1]=>1001111=>7
[8,7,3,5,6,4,2,1]=>1010111=>7
[8,7,3,6,5,4,2,1]=>1011111=>7
[8,5,4,3,2,7,6,1]=>0111111=>7
[8,5,4,3,7,6,2,1]=>1011111=>7
[8,7,4,3,6,5,2,1]=>1011111=>7
[8,7,4,6,5,3,2,1]=>1101111=>7
[2,4,1,3,6,5,8,7]=>0010101=>7
[2,1,4,6,3,5,8,7]=>1000101=>7
[2,4,1,6,3,5,8,7]=>0010101=>7
[2,4,6,1,3,5,8,7]=>0000101=>7
[2,1,4,3,6,8,5,7]=>1010001=>7
[2,4,1,3,6,8,5,7]=>0010001=>7
[2,1,4,6,3,8,5,7]=>1000101=>7
[2,4,1,6,3,8,5,7]=>0010101=>7
[2,4,6,1,3,8,5,7]=>0000101=>7
[2,1,4,6,8,3,5,7]=>1000001=>7
[2,4,1,6,8,3,5,7]=>0010001=>7
[2,4,6,1,8,3,5,7]=>0000101=>7
[2,4,6,8,1,3,5,7]=>0000001=>7
[2,4,1,3,6,5,7,8]=>0010100=>7
[2,1,4,6,3,5,7,8]=>1000100=>7
[2,4,1,6,3,5,7,8]=>0010100=>7
[2,4,6,1,3,5,7,8]=>0000100=>7
[2,1,4,6,3,7,5,8]=>1000110=>7
[2,4,1,6,3,7,5,8]=>0010110=>7
[2,4,6,1,3,7,5,8]=>0000110=>7
[2,1,4,6,7,3,5,8]=>1000010=>7
[2,4,1,6,7,3,5,8]=>0010010=>7
[2,4,6,7,1,3,5,8]=>0000010=>7
[2,4,1,3,6,7,8,5]=>0010001=>7
[2,1,4,6,3,7,8,5]=>1000101=>7
[2,4,1,6,3,7,8,5]=>0010101=>7
[2,4,6,1,3,7,8,5]=>0000101=>7
[2,1,4,6,7,3,8,5]=>1000011=>7
[2,4,1,6,7,3,8,5]=>0010011=>7
[2,4,6,1,7,3,8,5]=>0000111=>7
[2,4,6,7,1,3,8,5]=>0000011=>7
[2,1,4,6,7,8,3,5]=>1000001=>7
[2,4,1,6,7,8,3,5]=>0010001=>7
[2,4,6,1,7,8,3,5]=>0000101=>7
[2,4,6,7,1,8,3,5]=>0000011=>7
[2,4,6,7,8,1,3,5]=>0000001=>7
[2,1,4,3,7,5,8,6]=>1010011=>7
[2,4,1,3,7,5,8,6]=>0010011=>7
[2,1,4,7,3,5,8,6]=>1000011=>7
[2,4,1,7,3,5,8,6]=>0010011=>7
[2,4,7,1,3,5,8,6]=>0000011=>7
[2,1,4,3,7,8,5,6]=>1010001=>7
[2,4,1,3,7,8,5,6]=>0010001=>7
[2,4,1,7,3,8,5,6]=>0010011=>7
[2,4,7,1,3,8,5,6]=>0000011=>7
[2,1,4,7,8,3,5,6]=>1000001=>7
[2,4,1,7,8,3,5,6]=>0010001=>7
[2,4,7,1,8,3,5,6]=>0000011=>7
[2,4,7,8,1,3,5,6]=>0000001=>7
[2,4,1,5,3,7,6,8]=>0011010=>7
[2,4,5,1,3,7,6,8]=>0001010=>7
[2,4,5,1,7,3,6,8]=>0001010=>7
[2,4,1,3,5,7,8,6]=>0010001=>7
[2,4,1,5,3,7,8,6]=>0011001=>7
[2,4,5,1,3,7,8,6]=>0001001=>7
[2,1,4,5,7,3,8,6]=>1000011=>7
[2,4,1,5,7,3,8,6]=>0010011=>7
[2,4,5,1,7,3,8,6]=>0001011=>7
[2,4,5,7,1,3,8,6]=>0000011=>7
[2,1,4,5,7,8,3,6]=>1000001=>7
[2,4,5,1,7,8,3,6]=>0001001=>7
[2,4,5,7,1,8,3,6]=>0000011=>7
[2,4,5,7,8,1,3,6]=>0000001=>7
[2,1,4,3,8,5,6,7]=>1010001=>7
[2,4,1,3,8,5,6,7]=>0010001=>7
[2,1,4,8,3,5,6,7]=>1000001=>7
[2,4,1,8,3,5,6,7]=>0010001=>7
[2,4,8,1,3,5,6,7]=>0000001=>7
[2,1,4,3,5,8,6,7]=>1010001=>7
[2,4,1,5,3,8,6,7]=>0011001=>7
[2,1,4,5,8,3,6,7]=>1000001=>7
[2,4,1,5,8,3,6,7]=>0010001=>7
[2,4,5,1,8,3,6,7]=>0001001=>7
[2,4,5,8,1,3,6,7]=>0000001=>7
[2,4,1,5,3,6,8,7]=>0011001=>7
[2,4,1,5,6,3,8,7]=>0010101=>7
[2,4,5,1,6,3,8,7]=>0001101=>7
[2,4,5,6,1,3,8,7]=>0000101=>7
[2,1,4,5,6,8,3,7]=>1000001=>7
[2,4,1,5,6,8,3,7]=>0010001=>7
[2,4,5,1,6,8,3,7]=>0001001=>7
[2,4,5,6,1,8,3,7]=>0000101=>7
[2,4,5,6,8,1,3,7]=>0000001=>7
[2,4,1,3,5,6,7,8]=>0010000=>7
[2,4,1,5,3,6,7,8]=>0011000=>7
[2,4,5,1,3,6,7,8]=>0001000=>7
[2,4,1,5,6,3,7,8]=>0010100=>7
[2,4,5,1,6,3,7,8]=>0001100=>7
[2,4,5,6,1,3,7,8]=>0000100=>7
[2,4,1,5,6,7,3,8]=>0010010=>7
[2,4,5,1,6,7,3,8]=>0001010=>7
[2,4,5,6,1,7,3,8]=>0000110=>7
[2,4,5,6,7,1,3,8]=>0000010=>7
[2,4,1,5,6,7,8,3]=>0010001=>7
[2,4,5,1,6,7,8,3]=>0001001=>7
[2,4,5,6,1,7,8,3]=>0000101=>7
[2,4,5,6,7,1,8,3]=>0000011=>7
[2,4,5,6,7,8,1,3]=>0000001=>7
[2,1,5,3,6,4,8,7]=>1001101=>7
[2,5,1,3,6,4,8,7]=>0001101=>7
[2,1,5,6,3,4,8,7]=>1000101=>7
[2,5,1,6,3,4,8,7]=>0001101=>7
[2,5,6,1,3,4,8,7]=>0000101=>7
[2,1,5,3,6,8,4,7]=>1001001=>7
[2,5,1,3,6,8,4,7]=>0001001=>7
[2,5,1,6,3,8,4,7]=>0001101=>7
[2,5,6,1,3,8,4,7]=>0000101=>7
[2,1,5,6,8,3,4,7]=>1000001=>7
[2,5,1,6,8,3,4,7]=>0001001=>7
[2,5,6,8,1,3,4,7]=>0000001=>7
[2,5,1,3,6,4,7,8]=>0001100=>7
[2,1,5,6,3,4,7,8]=>1000100=>7
[2,5,1,6,3,4,7,8]=>0001100=>7
[2,1,5,3,6,7,4,8]=>1001010=>7
[2,1,5,6,3,7,4,8]=>1000110=>7
[2,5,1,6,3,7,4,8]=>0001110=>7
[2,5,6,1,3,7,4,8]=>0000110=>7
[2,1,5,6,7,3,4,8]=>1000010=>7
[2,5,1,6,7,3,4,8]=>0001010=>7
[2,5,6,1,7,3,4,8]=>0000110=>7
[2,1,5,3,6,7,8,4]=>1001001=>7
[2,5,1,3,6,7,8,4]=>0001001=>7
[2,1,5,6,3,7,8,4]=>1000101=>7
[2,5,1,6,3,7,8,4]=>0001101=>7
[2,5,6,1,3,7,8,4]=>0000101=>7
[2,1,5,6,7,3,8,4]=>1000011=>7
[2,5,1,6,7,3,8,4]=>0001011=>7
[2,5,6,7,1,3,8,4]=>0000011=>7
[2,1,5,6,7,8,3,4]=>1000001=>7
[2,5,1,6,7,8,3,4]=>0001001=>7
[2,5,6,1,7,8,3,4]=>0000101=>7
[2,5,6,7,1,8,3,4]=>0000011=>7
[2,5,6,7,8,1,3,4]=>0000001=>7
[2,1,5,3,7,4,8,6]=>1001011=>7
[2,5,1,3,7,4,8,6]=>0001011=>7
[2,1,5,7,3,4,8,6]=>1000011=>7
[2,5,1,7,3,4,8,6]=>0001011=>7
[2,5,7,1,3,4,8,6]=>0000011=>7
[2,1,5,3,7,8,4,6]=>1001001=>7
[2,5,1,3,7,8,4,6]=>0001001=>7
[2,1,5,7,3,8,4,6]=>1000011=>7
[2,5,1,7,3,8,4,6]=>0001011=>7
[2,5,7,1,3,8,4,6]=>0000011=>7
[2,1,5,7,8,3,4,6]=>1000001=>7
[2,5,1,7,8,3,4,6]=>0001001=>7
[2,5,7,1,8,3,4,6]=>0000011=>7
[2,5,7,8,1,3,4,6]=>0000001=>7
[2,5,1,3,7,4,6,8]=>0001010=>7
[2,1,5,7,3,4,6,8]=>1000010=>7
[2,3,5,1,4,7,6,8]=>0001010=>7
[2,3,5,7,1,4,6,8]=>0000010=>7
[2,3,5,1,7,4,8,6]=>0001011=>7
[2,3,5,7,1,4,8,6]=>0000011=>7
[2,3,1,5,7,8,4,6]=>0100001=>7
[2,3,5,7,1,8,4,6]=>0000011=>7
[2,3,5,7,8,1,4,6]=>0000001=>7
[2,1,5,3,8,4,6,7]=>1001001=>7
[2,5,1,3,8,4,6,7]=>0001001=>7
[2,1,5,8,3,4,6,7]=>1000001=>7
[2,5,1,8,3,4,6,7]=>0001001=>7
[2,5,8,1,3,4,6,7]=>0000001=>7
[2,3,5,1,4,8,6,7]=>0001001=>7
[2,1,3,5,8,4,6,7]=>1000001=>7
[2,3,5,1,8,4,6,7]=>0001001=>7
[2,3,5,8,1,4,6,7]=>0000001=>7
[2,1,5,3,4,6,8,7]=>1001001=>7
[2,3,5,1,6,4,8,7]=>0001101=>7
[2,3,5,6,1,4,8,7]=>0000101=>7
[2,1,3,5,6,8,4,7]=>1000001=>7
[2,3,1,5,6,8,4,7]=>0100001=>7
[2,3,5,1,6,8,4,7]=>0001001=>7
[2,3,5,6,1,8,4,7]=>0000101=>7
[2,3,5,6,8,1,4,7]=>0000001=>7
[2,1,5,3,4,6,7,8]=>1001000=>7
[2,5,1,3,4,6,7,8]=>0001000=>7
[2,3,5,1,4,6,7,8]=>0001000=>7
[2,3,5,1,6,4,7,8]=>0001100=>7
[2,3,5,6,1,4,7,8]=>0000100=>7
[2,3,5,6,1,7,4,8]=>0000110=>7
[2,3,5,6,7,1,4,8]=>0000010=>7
[2,3,5,1,6,7,8,4]=>0001001=>7
[2,3,5,6,1,7,8,4]=>0000101=>7
[2,3,5,6,7,1,8,4]=>0000011=>7
[2,3,5,6,7,8,1,4]=>0000001=>7
[2,1,6,3,7,4,8,5]=>1000111=>7
[2,6,1,3,7,4,8,5]=>0000111=>7
[2,1,6,7,3,4,8,5]=>1000011=>7
[2,6,1,7,3,4,8,5]=>0000111=>7
[2,6,7,1,3,4,8,5]=>0000011=>7
[2,1,6,3,7,8,4,5]=>1000101=>7
[2,6,1,3,7,8,4,5]=>0000101=>7
[2,1,6,7,3,8,4,5]=>1000011=>7
[2,6,1,7,3,8,4,5]=>0000111=>7
[2,6,7,1,3,8,4,5]=>0000011=>7
[2,1,6,7,8,3,4,5]=>1000001=>7
[2,6,1,7,8,3,4,5]=>0000101=>7
[2,6,7,1,8,3,4,5]=>0000011=>7
[2,6,7,8,1,3,4,5]=>0000001=>7
[2,1,6,3,7,4,5,8]=>1000110=>7
[2,6,1,7,3,4,5,8]=>0000110=>7
[2,6,7,1,3,4,5,8]=>0000010=>7
[2,6,1,3,4,7,5,8]=>0000110=>7
[2,3,1,6,4,7,5,8]=>0100110=>7
[2,3,6,1,4,7,5,8]=>0000110=>7
[2,3,6,7,1,4,5,8]=>0000010=>7
[2,1,6,3,4,7,8,5]=>1000101=>7
[2,6,1,3,4,7,8,5]=>0000101=>7
[2,3,6,1,4,7,8,5]=>0000101=>7
[2,1,3,6,7,4,8,5]=>1000011=>7
[2,3,6,7,1,4,8,5]=>0000011=>7
[2,1,3,6,7,8,4,5]=>1000001=>7
[2,3,1,6,7,8,4,5]=>0100001=>7
[2,3,6,1,7,8,4,5]=>0000101=>7
[2,3,6,7,1,8,4,5]=>0000011=>7
[2,3,6,7,8,1,4,5]=>0000001=>7
[2,1,6,3,8,4,5,7]=>1000101=>7
[2,6,1,3,8,4,5,7]=>0000101=>7
[2,1,6,8,3,4,5,7]=>1000001=>7
[2,6,1,8,3,4,5,7]=>0000101=>7
[2,6,8,1,3,4,5,7]=>0000001=>7
[2,1,6,3,4,8,5,7]=>1000101=>7
[2,6,1,3,4,8,5,7]=>0000101=>7
[2,3,1,6,4,8,5,7]=>0100101=>7
[2,3,6,1,4,8,5,7]=>0000101=>7
[2,3,1,6,8,4,5,7]=>0100001=>7
[2,3,6,1,8,4,5,7]=>0000101=>7
[2,3,6,8,1,4,5,7]=>0000001=>7
[2,1,6,3,4,5,8,7]=>1000101=>7
[2,6,1,3,4,5,8,7]=>0000101=>7
[2,1,3,6,4,5,8,7]=>1000101=>7
[2,3,6,1,4,5,8,7]=>0000101=>7
[2,3,4,1,6,8,5,7]=>0010001=>7
[2,3,4,6,1,8,5,7]=>0000101=>7
[2,3,4,6,8,1,5,7]=>0000001=>7
[2,6,1,3,4,5,7,8]=>0000100=>7
[2,1,3,6,4,5,7,8]=>1000100=>7
[2,3,1,6,4,5,7,8]=>0100100=>7
[2,3,6,1,4,5,7,8]=>0000100=>7
[2,3,4,6,1,5,7,8]=>0000100=>7
[2,3,4,6,1,7,5,8]=>0000110=>7
[2,3,4,6,7,1,5,8]=>0000010=>7
[2,3,4,6,1,7,8,5]=>0000101=>7
[2,3,4,6,7,8,1,5]=>0000001=>7
[2,1,7,3,8,4,5,6]=>1000011=>7
[2,7,1,3,8,4,5,6]=>0000011=>7
[2,1,7,8,3,4,5,6]=>1000001=>7
[2,7,1,8,3,4,5,6]=>0000011=>7
[2,7,8,1,3,4,5,6]=>0000001=>7
[2,1,7,3,4,8,5,6]=>1000011=>7
[2,7,1,3,4,8,5,6]=>0000011=>7
[2,1,3,7,4,8,5,6]=>1000011=>7
[2,3,1,7,4,8,5,6]=>0100011=>7
[2,3,7,1,4,8,5,6]=>0000011=>7
[2,1,3,7,8,4,5,6]=>1000001=>7
[2,3,1,7,8,4,5,6]=>0100001=>7
[2,3,7,8,1,4,5,6]=>0000001=>7
[2,1,7,3,4,5,8,6]=>1000011=>7
[2,7,1,3,4,5,8,6]=>0000011=>7
[2,3,1,7,4,5,8,6]=>0100011=>7
[2,3,7,1,4,5,8,6]=>0000011=>7
[2,1,3,4,7,5,8,6]=>1000011=>7
[2,3,4,1,7,5,8,6]=>0010011=>7
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[2,1,3,4,7,8,5,6]=>1000001=>7
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[2,1,7,3,4,5,6,8]=>1000010=>7
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[2,1,3,4,7,5,6,8]=>1000010=>7
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[2,1,3,8,4,5,6,7]=>1000001=>7
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[2,1,3,4,5,8,6,7]=>1000001=>7
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[3,4,1,6,2,8,5,7]=>0010101=>7
[3,1,4,6,8,2,5,7]=>0100001=>7
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[3,4,1,2,6,7,5,8]=>0010010=>7
[3,4,1,6,2,7,5,8]=>0010110=>7
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[3,1,4,6,2,7,8,5]=>0100101=>7
[3,4,1,6,2,7,8,5]=>0010101=>7
[3,4,6,1,2,7,8,5]=>0000101=>7
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[3,4,6,1,7,8,2,5]=>0000101=>7
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[3,1,4,7,2,5,8,6]=>0100011=>7
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[3,4,7,1,2,5,8,6]=>0000011=>7
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[3,4,1,2,7,8,5,6]=>0010001=>7
[3,1,4,7,2,8,5,6]=>0100011=>7
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[3,1,4,2,7,5,6,8]=>0110010=>7
[3,4,1,2,7,5,6,8]=>0010010=>7
[3,4,1,2,5,7,6,8]=>0010010=>7
[3,1,4,5,2,7,6,8]=>0101010=>7
[3,4,1,5,2,7,6,8]=>0011010=>7
[3,4,1,5,7,2,6,8]=>0010010=>7
[3,4,5,1,7,2,6,8]=>0001010=>7
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[3,4,1,2,5,7,8,6]=>0010001=>7
[3,1,4,5,2,7,8,6]=>0101001=>7
[3,4,5,1,2,7,8,6]=>0001001=>7
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[3,4,1,5,7,2,8,6]=>0010011=>7
[3,4,5,7,1,2,8,6]=>0000011=>7
[3,1,4,5,7,8,2,6]=>0100001=>7
[3,4,1,5,7,8,2,6]=>0010001=>7
[3,4,5,1,7,8,2,6]=>0001001=>7
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[3,1,4,2,8,5,6,7]=>0110001=>7
[3,4,1,2,8,5,6,7]=>0010001=>7
[3,1,4,8,2,5,6,7]=>0100001=>7
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[3,4,8,1,2,5,6,7]=>0000001=>7
[3,1,4,2,5,8,6,7]=>0110001=>7
[3,4,1,2,5,8,6,7]=>0010001=>7
[3,4,1,5,2,8,6,7]=>0011001=>7
[3,4,5,1,2,8,6,7]=>0001001=>7
[3,1,4,5,8,2,6,7]=>0100001=>7
[3,4,1,5,8,2,6,7]=>0010001=>7
[3,4,5,8,1,2,6,7]=>0000001=>7
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[3,4,5,1,2,6,8,7]=>0001001=>7
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[3,4,5,1,6,2,8,7]=>0001101=>7
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[3,1,4,5,6,8,2,7]=>0100001=>7
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[3,4,5,6,1,8,2,7]=>0000101=>7
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[3,1,4,2,5,6,7,8]=>0110000=>7
[3,1,4,5,2,6,7,8]=>0101000=>7
[3,4,1,5,2,6,7,8]=>0011000=>7
[3,1,4,5,6,2,7,8]=>0100100=>7
[3,4,1,5,6,2,7,8]=>0010100=>7
[3,4,5,1,6,2,7,8]=>0001100=>7
[3,1,4,5,6,7,2,8]=>0100010=>7
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[3,4,5,1,6,7,2,8]=>0001010=>7
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[3,1,4,5,6,7,8,2]=>0100001=>7
[3,4,1,5,6,7,8,2]=>0010001=>7
[3,4,5,1,6,7,8,2]=>0001001=>7
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[3,1,5,2,6,4,8,7]=>0101101=>7
[3,5,1,2,6,4,8,7]=>0001101=>7
[3,1,5,6,2,4,8,7]=>0100101=>7
[3,5,1,6,2,4,8,7]=>0001101=>7
[3,5,6,1,2,4,8,7]=>0000101=>7
[3,1,5,2,6,8,4,7]=>0101001=>7
[3,5,1,2,6,8,4,7]=>0001001=>7
[3,1,5,6,2,8,4,7]=>0100101=>7
[3,5,6,1,2,8,4,7]=>0000101=>7
[3,1,5,6,8,2,4,7]=>0100001=>7
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[3,5,6,1,8,2,4,7]=>0000101=>7
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[3,1,5,6,2,4,7,8]=>0100100=>7
[3,5,1,6,2,4,7,8]=>0001100=>7
[3,5,6,1,2,4,7,8]=>0000100=>7
[3,5,1,2,6,7,4,8]=>0001010=>7
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[3,5,6,1,2,7,4,8]=>0000110=>7
[3,5,1,6,7,2,4,8]=>0001010=>7
[3,5,6,1,7,2,4,8]=>0000110=>7
[3,5,6,7,1,2,4,8]=>0000010=>7
[3,1,5,2,6,7,8,4]=>0101001=>7
[3,5,1,2,6,7,8,4]=>0001001=>7
[3,1,5,6,2,7,8,4]=>0100101=>7
[3,5,1,6,2,7,8,4]=>0001101=>7
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[3,1,5,6,7,2,8,4]=>0100011=>7
[3,5,1,6,7,2,8,4]=>0001011=>7
[3,5,6,1,7,2,8,4]=>0000111=>7
[3,5,6,7,1,2,8,4]=>0000011=>7
[3,1,5,6,7,8,2,4]=>0100001=>7
[3,5,1,6,7,8,2,4]=>0001001=>7
[3,5,6,1,7,8,2,4]=>0000101=>7
[3,5,6,7,1,8,2,4]=>0000011=>7
[3,5,6,7,8,1,2,4]=>0000001=>7
[3,1,5,2,7,4,8,6]=>0101011=>7
[3,5,1,2,7,4,8,6]=>0001011=>7
[3,1,5,7,2,4,8,6]=>0100011=>7
[3,5,1,7,2,4,8,6]=>0001011=>7
[3,5,7,1,2,4,8,6]=>0000011=>7
[3,1,5,2,7,8,4,6]=>0101001=>7
[3,5,1,2,7,8,4,6]=>0001001=>7
[3,1,5,7,2,8,4,6]=>0100011=>7
[3,5,1,7,2,8,4,6]=>0001011=>7
[3,5,7,1,2,8,4,6]=>0000011=>7
[3,1,5,7,8,2,4,6]=>0100001=>7
[3,5,1,7,8,2,4,6]=>0001001=>7
[3,5,7,8,1,2,4,6]=>0000001=>7
[3,1,5,2,7,4,6,8]=>0101010=>7
[3,5,1,2,7,4,6,8]=>0001010=>7
[3,1,5,7,2,4,6,8]=>0100010=>7
[3,5,1,7,2,4,6,8]=>0001010=>7
[3,5,7,1,2,4,6,8]=>0000010=>7
[3,1,5,2,4,7,6,8]=>0101010=>7
[3,5,1,2,4,7,6,8]=>0001010=>7
[3,1,2,5,4,7,6,8]=>0101010=>7
[1,3,5,2,4,7,6,8]=>0001010=>7
[3,1,2,5,7,4,6,8]=>0100010=>7
[1,3,2,5,7,4,6,8]=>0100010=>7
[1,3,5,2,7,4,6,8]=>0001010=>7
[1,3,5,7,2,4,6,8]=>0000010=>7
[3,1,5,2,4,7,8,6]=>0101001=>7
[3,5,1,2,4,7,8,6]=>0001001=>7
[1,3,5,2,4,7,8,6]=>0001001=>7
[3,1,2,5,7,4,8,6]=>0100011=>7
[1,3,2,5,7,4,8,6]=>0100011=>7
[1,3,5,2,7,4,8,6]=>0001011=>7
[1,3,5,7,2,4,8,6]=>0000011=>7
[3,1,2,5,7,8,4,6]=>0100001=>7
[1,3,2,5,7,8,4,6]=>0100001=>7
[1,3,5,2,7,8,4,6]=>0001001=>7
[1,3,5,7,2,8,4,6]=>0000011=>7
[1,3,5,7,8,2,4,6]=>0000001=>7
[3,1,5,2,8,4,6,7]=>0101001=>7
[3,5,1,2,8,4,6,7]=>0001001=>7
[3,1,5,8,2,4,6,7]=>0100001=>7
[3,5,1,8,2,4,6,7]=>0001001=>7
[3,1,5,2,4,8,6,7]=>0101001=>7
[3,5,1,2,4,8,6,7]=>0001001=>7
[1,3,2,5,4,8,6,7]=>0101001=>7
[1,3,5,2,4,8,6,7]=>0001001=>7
[3,1,2,5,8,4,6,7]=>0100001=>7
[1,3,2,5,8,4,6,7]=>0100001=>7
[1,3,5,2,8,4,6,7]=>0001001=>7
[1,3,5,8,2,4,6,7]=>0000001=>7
[3,1,5,2,4,6,8,7]=>0101001=>7
[3,5,1,2,4,6,8,7]=>0001001=>7
[3,1,2,5,4,6,8,7]=>0101001=>7
[1,3,5,2,4,6,8,7]=>0001001=>7
[1,3,5,2,6,4,8,7]=>0001101=>7
[1,3,5,6,2,4,8,7]=>0000101=>7
[3,1,2,5,6,8,4,7]=>0100001=>7
[1,3,5,2,6,8,4,7]=>0001001=>7
[1,3,5,6,2,8,4,7]=>0000101=>7
[1,3,5,6,8,2,4,7]=>0000001=>7
[3,1,5,2,4,6,7,8]=>0101000=>7
[3,5,1,2,4,6,7,8]=>0001000=>7
[1,3,5,2,4,6,7,8]=>0001000=>7
[3,1,2,5,6,4,7,8]=>0100100=>7
[1,3,5,2,6,4,7,8]=>0001100=>7
[1,3,5,6,2,4,7,8]=>0000100=>7
[3,1,2,5,6,7,4,8]=>0100010=>7
[1,3,5,2,6,7,4,8]=>0001010=>7
[1,3,5,6,2,7,4,8]=>0000110=>7
[1,3,5,6,7,2,4,8]=>0000010=>7
[3,1,2,5,6,7,8,4]=>0100001=>7
[1,3,5,2,6,7,8,4]=>0001001=>7
[1,3,5,6,2,7,8,4]=>0000101=>7
[1,3,5,6,7,2,8,4]=>0000011=>7
[1,3,5,6,7,8,2,4]=>0000001=>7
[3,1,6,2,7,4,8,5]=>0100111=>7
[3,6,1,2,7,4,8,5]=>0000111=>7
[3,6,1,7,2,4,8,5]=>0000111=>7
[3,6,7,1,2,4,8,5]=>0000011=>7
[3,6,1,2,7,8,4,5]=>0000101=>7
[3,1,6,7,2,8,4,5]=>0100011=>7
[3,6,1,7,2,8,4,5]=>0000111=>7
[3,6,7,1,2,8,4,5]=>0000011=>7
[3,6,1,7,8,2,4,5]=>0000101=>7
[3,6,7,8,1,2,4,5]=>0000001=>7
[3,1,6,2,7,4,5,8]=>0100110=>7
[3,1,6,7,2,4,5,8]=>0100010=>7
[3,6,7,1,2,4,5,8]=>0000010=>7
[3,1,6,2,4,7,5,8]=>0100110=>7
[3,6,1,2,4,7,5,8]=>0000110=>7
[3,1,2,6,4,7,5,8]=>0100110=>7
[1,3,2,6,4,7,5,8]=>0100110=>7
[1,3,6,2,4,7,5,8]=>0000110=>7
[1,3,2,6,7,4,5,8]=>0100010=>7
[1,3,6,2,7,4,5,8]=>0000110=>7
[3,1,6,2,4,7,8,5]=>0100101=>7
[3,6,1,2,4,7,8,5]=>0000101=>7
[3,1,2,6,4,7,8,5]=>0100101=>7
[1,3,2,6,4,7,8,5]=>0100101=>7
[1,3,6,2,4,7,8,5]=>0000101=>7
[3,1,2,6,7,4,8,5]=>0100011=>7
[1,3,2,6,7,4,8,5]=>0100011=>7
[1,3,6,2,7,4,8,5]=>0000111=>7
[1,3,6,7,2,4,8,5]=>0000011=>7
[3,1,2,6,7,8,4,5]=>0100001=>7
[1,3,2,6,7,8,4,5]=>0100001=>7
[1,3,6,2,7,8,4,5]=>0000101=>7
[1,3,6,7,8,2,4,5]=>0000001=>7
[3,1,6,2,8,4,5,7]=>0100101=>7
[3,6,1,2,8,4,5,7]=>0000101=>7
[3,1,6,8,2,4,5,7]=>0100001=>7
[3,6,1,8,2,4,5,7]=>0000101=>7
[3,6,8,1,2,4,5,7]=>0000001=>7
[3,1,6,2,4,8,5,7]=>0100101=>7
[3,6,1,2,4,8,5,7]=>0000101=>7
[1,3,2,6,4,8,5,7]=>0100101=>7
[1,3,6,2,4,8,5,7]=>0000101=>7
[3,1,2,6,8,4,5,7]=>0100001=>7
[1,3,2,6,8,4,5,7]=>0100001=>7
[3,1,6,2,4,5,8,7]=>0100101=>7
[3,6,1,2,4,5,8,7]=>0000101=>7
[3,1,2,6,4,5,8,7]=>0100101=>7
[1,3,6,2,4,5,8,7]=>0000101=>7
[3,1,2,4,6,5,8,7]=>0100101=>7
[1,3,4,6,2,5,8,7]=>0000101=>7
[3,1,2,4,6,8,5,7]=>0100001=>7
[1,3,2,4,6,8,5,7]=>0100001=>7
[1,3,4,6,8,2,5,7]=>0000001=>7
[3,1,6,2,4,5,7,8]=>0100100=>7
[3,6,1,2,4,5,7,8]=>0000100=>7
[1,3,2,6,4,5,7,8]=>0100100=>7
[1,3,6,2,4,5,7,8]=>0000100=>7
[1,3,4,6,2,5,7,8]=>0000100=>7
[3,1,2,4,6,7,5,8]=>0100010=>7
[1,3,4,6,2,7,5,8]=>0000110=>7
[1,3,4,6,7,2,5,8]=>0000010=>7
[3,1,2,4,6,7,8,5]=>0100001=>7
[1,3,4,6,7,2,8,5]=>0000011=>7
[1,3,4,6,7,8,2,5]=>0000001=>7
[3,1,7,2,8,4,5,6]=>0100011=>7
[3,7,1,2,8,4,5,6]=>0000011=>7
[3,1,7,8,2,4,5,6]=>0100001=>7
[3,7,1,8,2,4,5,6]=>0000011=>7
[3,7,8,1,2,4,5,6]=>0000001=>7
[3,7,1,2,4,8,5,6]=>0000011=>7
[3,1,2,7,4,8,5,6]=>0100011=>7
[1,3,2,7,4,8,5,6]=>0100011=>7
[1,3,7,2,4,8,5,6]=>0000011=>7
[3,1,2,7,8,4,5,6]=>0100001=>7
[1,3,7,2,8,4,5,6]=>0000011=>7
[1,3,7,8,2,4,5,6]=>0000001=>7
[3,1,7,2,4,5,8,6]=>0100011=>7
[3,7,1,2,4,5,8,6]=>0000011=>7
[1,3,7,2,4,5,8,6]=>0000011=>7
[3,1,2,4,7,5,8,6]=>0100011=>7
[1,3,2,4,7,5,8,6]=>0100011=>7
[1,3,4,2,7,5,8,6]=>0010011=>7
[1,3,4,7,2,5,8,6]=>0000011=>7
[3,1,2,4,7,8,5,6]=>0100001=>7
[1,3,2,4,7,8,5,6]=>0100001=>7
[1,3,4,2,7,8,5,6]=>0010001=>7
[1,3,4,7,8,2,5,6]=>0000001=>7
[3,1,7,2,4,5,6,8]=>0100010=>7
[3,7,1,2,4,5,6,8]=>0000010=>7
[3,1,2,7,4,5,6,8]=>0100010=>7
[1,3,2,7,4,5,6,8]=>0100010=>7
[1,3,7,2,4,5,6,8]=>0000010=>7
[3,1,2,4,7,5,6,8]=>0100010=>7
[1,3,4,7,2,5,6,8]=>0000010=>7
[3,1,2,4,5,7,6,8]=>0100010=>7
[1,3,4,5,7,2,6,8]=>0000010=>7
[3,1,2,4,5,7,8,6]=>0100001=>7
[1,3,4,5,7,2,8,6]=>0000011=>7
[1,3,4,5,7,8,2,6]=>0000001=>7
[3,1,8,2,4,5,6,7]=>0100001=>7
[3,8,1,2,4,5,6,7]=>0000001=>7
[3,1,2,8,4,5,6,7]=>0100001=>7
[1,3,2,8,4,5,6,7]=>0100001=>7
[1,3,8,2,4,5,6,7]=>0000001=>7
[3,1,2,4,8,5,6,7]=>0100001=>7
[1,3,2,4,8,5,6,7]=>0100001=>7
[1,3,4,2,8,5,6,7]=>0010001=>7
[1,3,4,8,2,5,6,7]=>0000001=>7
[3,1,2,4,5,8,6,7]=>0100001=>7
[1,3,2,4,5,8,6,7]=>0100001=>7
[1,3,4,2,5,8,6,7]=>0010001=>7
[1,3,4,5,2,8,6,7]=>0001001=>7
[1,3,4,5,8,2,6,7]=>0000001=>7
[3,1,2,4,5,6,8,7]=>0100001=>7
[1,3,4,5,6,8,2,7]=>0000001=>7
[4,1,5,2,6,3,8,7]=>0011101=>7
[4,5,1,2,6,3,8,7]=>0001101=>7
[4,1,5,6,2,3,8,7]=>0010101=>7
[4,5,1,6,2,3,8,7]=>0001101=>7
[4,5,6,1,2,3,8,7]=>0000101=>7
[4,1,5,2,6,8,3,7]=>0011001=>7
[4,5,1,2,6,8,3,7]=>0001001=>7
[4,1,5,6,2,8,3,7]=>0010101=>7
[4,5,1,6,2,8,3,7]=>0001101=>7
[4,5,6,1,2,8,3,7]=>0000101=>7
[4,1,5,6,8,2,3,7]=>0010001=>7
[4,5,1,6,8,2,3,7]=>0001001=>7
[4,5,6,1,8,2,3,7]=>0000101=>7
[4,5,6,8,1,2,3,7]=>0000001=>7
[4,1,5,2,6,3,7,8]=>0011100=>7
[4,1,5,6,2,3,7,8]=>0010100=>7
[4,5,1,6,2,3,7,8]=>0001100=>7
[4,5,1,2,6,7,3,8]=>0001010=>7
[4,5,1,6,2,7,3,8]=>0001110=>7
[4,5,6,1,2,7,3,8]=>0000110=>7
[4,1,5,6,7,2,3,8]=>0010010=>7
[4,5,1,6,7,2,3,8]=>0001010=>7
[4,5,6,1,7,2,3,8]=>0000110=>7
[4,1,5,2,6,7,8,3]=>0011001=>7
[4,5,1,2,6,7,8,3]=>0001001=>7
[4,5,1,6,2,7,8,3]=>0001101=>7
[4,5,6,1,2,7,8,3]=>0000101=>7
[4,1,5,6,7,2,8,3]=>0010011=>7
[4,5,1,6,7,2,8,3]=>0001011=>7
[4,5,6,1,7,2,8,3]=>0000111=>7
[4,5,6,7,1,2,8,3]=>0000011=>7
[4,1,5,6,7,8,2,3]=>0010001=>7
[4,5,1,6,7,8,2,3]=>0001001=>7
[4,5,6,1,7,8,2,3]=>0000101=>7
[4,5,6,7,1,8,2,3]=>0000011=>7
[4,1,5,2,7,3,8,6]=>0011011=>7
[4,5,1,2,7,3,8,6]=>0001011=>7
[4,5,1,7,2,3,8,6]=>0001011=>7
[4,5,7,1,2,3,8,6]=>0000011=>7
[4,1,5,2,7,8,3,6]=>0011001=>7
[4,5,1,2,7,8,3,6]=>0001001=>7
[4,1,5,7,2,8,3,6]=>0010011=>7
[4,5,1,7,2,8,3,6]=>0001011=>7
[4,5,7,1,2,8,3,6]=>0000011=>7
[4,5,1,7,8,2,3,6]=>0001001=>7
[4,5,7,8,1,2,3,6]=>0000001=>7
[4,1,5,2,7,3,6,8]=>0011010=>7
[4,5,1,2,7,3,6,8]=>0001010=>7
[4,1,5,7,2,3,6,8]=>0010010=>7
[4,5,1,7,2,3,6,8]=>0001010=>7
[4,1,5,2,3,7,6,8]=>0011010=>7
[4,5,1,2,3,7,6,8]=>0001010=>7
[4,1,2,5,3,7,6,8]=>0011010=>7
[1,4,2,5,3,7,6,8]=>0011010=>7
[1,4,5,2,3,7,6,8]=>0001010=>7
[4,1,2,5,7,3,6,8]=>0010010=>7
[1,4,2,5,7,3,6,8]=>0010010=>7
[1,4,5,2,7,3,6,8]=>0001010=>7
[1,4,5,7,2,3,6,8]=>0000010=>7
[4,1,5,2,3,7,8,6]=>0011001=>7
[4,1,2,5,3,7,8,6]=>0011001=>7
[1,4,2,5,3,7,8,6]=>0011001=>7
[1,4,5,2,3,7,8,6]=>0001001=>7
[4,1,2,5,7,3,8,6]=>0010011=>7
[1,4,2,5,7,3,8,6]=>0010011=>7
[1,4,5,2,7,3,8,6]=>0001011=>7
[1,4,5,7,2,3,8,6]=>0000011=>7
[4,1,2,5,7,8,3,6]=>0010001=>7
[1,4,2,5,7,8,3,6]=>0010001=>7
[1,4,5,2,7,8,3,6]=>0001001=>7
[1,4,5,7,8,2,3,6]=>0000001=>7
[4,1,5,2,8,3,6,7]=>0011001=>7
[4,5,1,2,8,3,6,7]=>0001001=>7
[4,1,5,8,2,3,6,7]=>0010001=>7
[4,5,1,8,2,3,6,7]=>0001001=>7
[4,5,8,1,2,3,6,7]=>0000001=>7
[4,1,5,2,3,8,6,7]=>0011001=>7
[4,5,1,2,3,8,6,7]=>0001001=>7
[4,1,2,5,3,8,6,7]=>0011001=>7
[1,4,2,5,3,8,6,7]=>0011001=>7
[1,4,5,2,3,8,6,7]=>0001001=>7
[4,1,2,5,8,3,6,7]=>0010001=>7
[1,4,2,5,8,3,6,7]=>0010001=>7
[1,4,5,2,8,3,6,7]=>0001001=>7
[1,4,5,8,2,3,6,7]=>0000001=>7
[1,4,2,5,3,6,8,7]=>0011001=>7
[4,1,2,5,6,3,8,7]=>0010101=>7
[1,4,5,2,6,3,8,7]=>0001101=>7
[1,4,5,6,2,3,8,7]=>0000101=>7
[4,1,2,5,6,8,3,7]=>0010001=>7
[1,4,2,5,6,8,3,7]=>0010001=>7
[1,4,5,2,6,8,3,7]=>0001001=>7
[1,4,5,6,2,8,3,7]=>0000101=>7
[1,4,5,6,8,2,3,7]=>0000001=>7
[4,1,5,2,3,6,7,8]=>0011000=>7
[4,1,2,5,3,6,7,8]=>0011000=>7
[1,4,2,5,3,6,7,8]=>0011000=>7
[1,4,5,2,3,6,7,8]=>0001000=>7
[4,1,2,5,6,3,7,8]=>0010100=>7
[1,4,5,2,6,3,7,8]=>0001100=>7
[1,4,5,6,2,3,7,8]=>0000100=>7
[4,1,2,5,6,7,3,8]=>0010010=>7
[1,4,2,5,6,7,3,8]=>0010010=>7
[1,4,5,2,6,7,3,8]=>0001010=>7
[1,4,5,6,2,7,3,8]=>0000110=>7
[1,4,5,6,7,2,3,8]=>0000010=>7
[4,1,2,5,6,7,8,3]=>0010001=>7
[1,4,2,5,6,7,8,3]=>0010001=>7
[1,4,5,2,6,7,8,3]=>0001001=>7
[1,4,5,6,2,7,8,3]=>0000101=>7
[1,4,5,6,7,2,8,3]=>0000011=>7
[1,4,5,6,7,8,2,3]=>0000001=>7
[4,1,6,2,7,3,8,5]=>0010111=>7
[4,1,6,7,2,3,8,5]=>0010011=>7
[4,6,1,7,2,3,8,5]=>0000111=>7
[4,6,7,1,2,3,8,5]=>0000011=>7
[4,6,1,2,7,8,3,5]=>0000101=>7
[4,1,6,7,2,8,3,5]=>0010011=>7
[4,6,1,7,2,8,3,5]=>0000111=>7
[4,1,6,7,8,2,3,5]=>0010001=>7
[4,6,1,7,8,2,3,5]=>0000101=>7
[4,6,7,1,8,2,3,5]=>0000011=>7
[4,6,7,8,1,2,3,5]=>0000001=>7
[4,1,6,2,7,3,5,8]=>0010110=>7
[4,6,1,2,7,3,5,8]=>0000110=>7
[4,1,6,7,2,3,5,8]=>0010010=>7
[4,6,1,7,2,3,5,8]=>0000110=>7
[4,6,7,1,2,3,5,8]=>0000010=>7
[4,1,6,2,3,7,5,8]=>0010110=>7
[4,6,1,2,3,7,5,8]=>0000110=>7
[4,1,2,6,3,7,5,8]=>0010110=>7
[1,4,2,6,3,7,5,8]=>0010110=>7
[4,1,2,6,7,3,5,8]=>0010010=>7
[1,4,2,6,7,3,5,8]=>0010010=>7
[1,4,6,2,7,3,5,8]=>0000110=>7
[1,4,6,7,2,3,5,8]=>0000010=>7
[4,1,6,2,3,7,8,5]=>0010101=>7
[4,1,2,6,3,7,8,5]=>0010101=>7
[1,4,6,2,3,7,8,5]=>0000101=>7
[4,1,2,6,7,3,8,5]=>0010011=>7
[1,4,6,2,7,3,8,5]=>0000111=>7
[1,4,6,7,2,3,8,5]=>0000011=>7
[1,4,2,6,7,8,3,5]=>0010001=>7
[1,4,6,2,7,8,3,5]=>0000101=>7
[1,4,6,7,2,8,3,5]=>0000011=>7
[1,4,6,7,8,2,3,5]=>0000001=>7
[4,1,6,2,8,3,5,7]=>0010101=>7
[4,6,1,2,8,3,5,7]=>0000101=>7
[4,1,6,8,2,3,5,7]=>0010001=>7
[4,6,1,8,2,3,5,7]=>0000101=>7
[4,6,8,1,2,3,5,7]=>0000001=>7
[4,1,6,2,3,8,5,7]=>0010101=>7
[4,6,1,2,3,8,5,7]=>0000101=>7
[4,1,2,6,3,8,5,7]=>0010101=>7
[1,4,2,6,3,8,5,7]=>0010101=>7
[1,4,6,2,3,8,5,7]=>0000101=>7
[1,4,2,6,8,3,5,7]=>0010001=>7
[1,4,6,2,8,3,5,7]=>0000101=>7
[1,4,6,8,2,3,5,7]=>0000001=>7
[4,1,6,2,3,5,8,7]=>0010101=>7
[4,6,1,2,3,5,8,7]=>0000101=>7
[4,1,2,6,3,5,8,7]=>0010101=>7
[1,4,2,6,3,5,8,7]=>0010101=>7
[1,4,6,2,3,5,8,7]=>0000101=>7
[4,1,2,3,6,5,8,7]=>0010101=>7
[1,4,2,3,6,5,8,7]=>0010101=>7
[1,2,4,6,3,5,8,7]=>0000101=>7
[4,1,2,3,6,8,5,7]=>0010001=>7
[1,2,4,3,6,8,5,7]=>0010001=>7
[1,2,4,6,3,8,5,7]=>0000101=>7
[1,2,4,6,8,3,5,7]=>0000001=>7
[4,1,6,2,3,5,7,8]=>0010100=>7
[4,6,1,2,3,5,7,8]=>0000100=>7
[4,1,2,6,3,5,7,8]=>0010100=>7
[1,4,2,6,3,5,7,8]=>0010100=>7
[1,4,6,2,3,5,7,8]=>0000100=>7
[4,1,2,3,6,5,7,8]=>0010100=>7
[1,4,2,3,6,5,7,8]=>0010100=>7
[1,2,4,6,3,5,7,8]=>0000100=>7
[4,1,2,3,6,7,5,8]=>0010010=>7
[1,4,2,3,6,7,5,8]=>0010010=>7
[1,2,4,6,7,3,5,8]=>0000010=>7
[4,1,2,3,6,7,8,5]=>0010001=>7
[1,4,2,3,6,7,8,5]=>0010001=>7
[1,2,4,6,3,7,8,5]=>0000101=>7
[1,2,4,6,7,3,8,5]=>0000011=>7
[1,2,4,6,7,8,3,5]=>0000001=>7
[4,1,7,2,8,3,5,6]=>0010011=>7
[4,7,1,2,8,3,5,6]=>0000011=>7
[4,1,7,8,2,3,5,6]=>0010001=>7
[4,7,1,8,2,3,5,6]=>0000011=>7
[4,7,8,1,2,3,5,6]=>0000001=>7
[4,1,7,2,3,8,5,6]=>0010011=>7
[4,7,1,2,3,8,5,6]=>0000011=>7
[1,4,2,7,3,8,5,6]=>0010011=>7
[1,4,7,2,3,8,5,6]=>0000011=>7
[4,1,2,7,8,3,5,6]=>0010001=>7
[1,4,2,7,8,3,5,6]=>0010001=>7
[1,4,7,2,8,3,5,6]=>0000011=>7
[1,4,7,8,2,3,5,6]=>0000001=>7
[4,1,7,2,3,5,8,6]=>0010011=>7
[4,7,1,2,3,5,8,6]=>0000011=>7
[4,1,2,7,3,5,8,6]=>0010011=>7
[1,4,2,7,3,5,8,6]=>0010011=>7
[1,4,7,2,3,5,8,6]=>0000011=>7
[4,1,2,3,7,5,8,6]=>0010011=>7
[1,4,2,3,7,5,8,6]=>0010011=>7
[1,2,4,3,7,5,8,6]=>0010011=>7
[1,2,4,7,3,5,8,6]=>0000011=>7
[4,1,2,3,7,8,5,6]=>0010001=>7
[1,4,2,3,7,8,5,6]=>0010001=>7
[1,2,4,3,7,8,5,6]=>0010001=>7
[1,2,4,7,3,8,5,6]=>0000011=>7
[1,2,4,7,8,3,5,6]=>0000001=>7
[4,1,7,2,3,5,6,8]=>0010010=>7
[4,7,1,2,3,5,6,8]=>0000010=>7
[4,1,2,7,3,5,6,8]=>0010010=>7
[1,4,2,7,3,5,6,8]=>0010010=>7
[1,4,7,2,3,5,6,8]=>0000010=>7
[4,1,2,3,7,5,6,8]=>0010010=>7
[1,4,2,3,7,5,6,8]=>0010010=>7
[1,2,4,3,7,5,6,8]=>0010010=>7
[1,2,4,7,3,5,6,8]=>0000010=>7
[4,1,2,3,5,7,6,8]=>0010010=>7
[1,4,2,3,5,7,6,8]=>0010010=>7
[1,2,4,5,7,3,6,8]=>0000010=>7
[4,1,2,3,5,7,8,6]=>0010001=>7
[1,4,2,3,5,7,8,6]=>0010001=>7
[1,2,4,5,7,3,8,6]=>0000011=>7
[1,2,4,5,7,8,3,6]=>0000001=>7
[4,1,8,2,3,5,6,7]=>0010001=>7
[4,8,1,2,3,5,6,7]=>0000001=>7
[4,1,2,8,3,5,6,7]=>0010001=>7
[1,4,2,8,3,5,6,7]=>0010001=>7
[1,4,8,2,3,5,6,7]=>0000001=>7
[4,1,2,3,8,5,6,7]=>0010001=>7
[1,4,2,3,8,5,6,7]=>0010001=>7
[1,2,4,3,8,5,6,7]=>0010001=>7
[1,2,4,8,3,5,6,7]=>0000001=>7
[4,1,2,3,5,8,6,7]=>0010001=>7
[1,4,2,3,5,8,6,7]=>0010001=>7
[1,2,4,3,5,8,6,7]=>0010001=>7
[1,2,4,5,3,8,6,7]=>0001001=>7
[1,2,4,5,8,3,6,7]=>0000001=>7
[4,1,2,3,5,6,8,7]=>0010001=>7
[1,4,2,3,5,6,8,7]=>0010001=>7
[1,2,4,5,6,8,3,7]=>0000001=>7
[1,4,2,3,5,6,7,8]=>0010000=>7
[5,1,6,2,7,3,8,4]=>0001111=>7
[5,6,1,2,7,3,8,4]=>0000111=>7
[5,1,6,7,2,3,8,4]=>0001011=>7
[5,6,1,7,2,3,8,4]=>0000111=>7
[5,6,7,1,2,3,8,4]=>0000011=>7
[5,1,6,2,7,8,3,4]=>0001101=>7
[5,6,1,2,7,8,3,4]=>0000101=>7
[5,1,6,7,2,8,3,4]=>0001011=>7
[5,6,1,7,2,8,3,4]=>0000111=>7
[5,6,7,1,2,8,3,4]=>0000011=>7
[5,1,6,7,8,2,3,4]=>0001001=>7
[5,6,1,7,8,2,3,4]=>0000101=>7
[5,6,7,1,8,2,3,4]=>0000011=>7
[5,1,6,2,7,3,4,8]=>0001110=>7
[5,6,1,2,7,3,4,8]=>0000110=>7
[5,6,1,7,2,3,4,8]=>0000110=>7
[5,1,6,2,3,7,4,8]=>0001110=>7
[5,1,2,6,3,7,4,8]=>0001110=>7
[1,5,2,6,3,7,4,8]=>0001110=>7
[5,1,2,6,7,3,4,8]=>0001010=>7
[1,5,2,6,7,3,4,8]=>0001010=>7
[1,5,6,2,7,3,4,8]=>0000110=>7
[1,5,6,7,2,3,4,8]=>0000010=>7
[5,1,6,2,3,7,8,4]=>0001101=>7
[5,6,1,2,3,7,8,4]=>0000101=>7
[5,1,2,6,3,7,8,4]=>0001101=>7
[1,5,2,6,3,7,8,4]=>0001101=>7
[1,5,6,2,3,7,8,4]=>0000101=>7
[5,1,2,6,7,3,8,4]=>0001011=>7
[1,5,6,7,2,3,8,4]=>0000011=>7
[5,1,2,6,7,8,3,4]=>0001001=>7
[1,5,2,6,7,8,3,4]=>0001001=>7
[1,5,6,2,7,8,3,4]=>0000101=>7
[1,5,6,7,2,8,3,4]=>0000011=>7
[1,5,6,7,8,2,3,4]=>0000001=>7
[5,1,6,2,8,3,4,7]=>0001101=>7
[5,6,1,2,8,3,4,7]=>0000101=>7
[5,6,1,8,2,3,4,7]=>0000101=>7
[5,6,8,1,2,3,4,7]=>0000001=>7
[5,1,6,2,3,8,4,7]=>0001101=>7
[5,6,1,2,3,8,4,7]=>0000101=>7
[5,1,2,6,3,8,4,7]=>0001101=>7
[1,5,2,6,3,8,4,7]=>0001101=>7
[1,5,6,2,3,8,4,7]=>0000101=>7
[5,1,2,6,8,3,4,7]=>0001001=>7
[1,5,2,6,8,3,4,7]=>0001001=>7
[1,5,6,2,8,3,4,7]=>0000101=>7
[1,5,6,8,2,3,4,7]=>0000001=>7
[5,1,6,2,3,4,8,7]=>0001101=>7
[5,6,1,2,3,4,8,7]=>0000101=>7
[5,1,2,6,3,4,8,7]=>0001101=>7
[1,5,2,6,3,4,8,7]=>0001101=>7
[1,5,6,2,3,4,8,7]=>0000101=>7
[1,5,2,3,6,4,8,7]=>0001101=>7
[1,2,5,3,6,4,8,7]=>0001101=>7
[1,2,5,6,3,4,8,7]=>0000101=>7
[5,1,2,3,6,8,4,7]=>0001001=>7
[1,5,2,3,6,8,4,7]=>0001001=>7
[1,2,5,6,3,8,4,7]=>0000101=>7
[1,2,5,6,8,3,4,7]=>0000001=>7
[5,1,6,2,3,4,7,8]=>0001100=>7
[5,1,2,6,3,4,7,8]=>0001100=>7
[1,5,2,6,3,4,7,8]=>0001100=>7
[1,5,6,2,3,4,7,8]=>0000100=>7
[5,1,2,3,6,4,7,8]=>0001100=>7
[1,5,2,3,6,4,7,8]=>0001100=>7
[1,2,5,3,6,4,7,8]=>0001100=>7
[1,2,5,6,3,4,7,8]=>0000100=>7
[5,1,2,3,6,7,4,8]=>0001010=>7
[1,5,2,3,6,7,4,8]=>0001010=>7
[1,2,5,3,6,7,4,8]=>0001010=>7
[1,2,5,6,3,7,4,8]=>0000110=>7
[5,1,2,3,6,7,8,4]=>0001001=>7
[1,5,2,3,6,7,8,4]=>0001001=>7
[1,2,5,3,6,7,8,4]=>0001001=>7
[1,2,5,6,3,7,8,4]=>0000101=>7
[1,2,5,6,7,3,8,4]=>0000011=>7
[1,2,5,6,7,8,3,4]=>0000001=>7
[5,1,7,2,8,3,4,6]=>0001011=>7
[5,7,1,2,8,3,4,6]=>0000011=>7
[5,1,7,8,2,3,4,6]=>0001001=>7
[5,7,1,8,2,3,4,6]=>0000011=>7
[5,7,8,1,2,3,4,6]=>0000001=>7
[5,1,7,2,3,8,4,6]=>0001011=>7
[5,7,1,2,3,8,4,6]=>0000011=>7
[5,1,2,7,3,8,4,6]=>0001011=>7
[1,5,2,7,3,8,4,6]=>0001011=>7
[1,5,7,2,3,8,4,6]=>0000011=>7
[5,1,2,7,8,3,4,6]=>0001001=>7
[1,5,2,7,8,3,4,6]=>0001001=>7
[1,5,7,2,8,3,4,6]=>0000011=>7
[1,5,7,8,2,3,4,6]=>0000001=>7
[5,1,7,2,3,4,8,6]=>0001011=>7
[5,7,1,2,3,4,8,6]=>0000011=>7
[5,1,2,7,3,4,8,6]=>0001011=>7
[1,5,2,7,3,4,8,6]=>0001011=>7
[1,5,7,2,3,4,8,6]=>0000011=>7
[5,1,2,3,7,4,8,6]=>0001011=>7
[1,5,2,3,7,4,8,6]=>0001011=>7
[1,2,5,3,7,4,8,6]=>0001011=>7
[1,2,5,7,3,4,8,6]=>0000011=>7
[5,1,2,3,7,8,4,6]=>0001001=>7
[1,5,2,3,7,8,4,6]=>0001001=>7
[1,2,5,3,7,8,4,6]=>0001001=>7
[1,2,5,7,3,8,4,6]=>0000011=>7
[1,2,5,7,8,3,4,6]=>0000001=>7
[5,1,7,2,3,4,6,8]=>0001010=>7
[5,7,1,2,3,4,6,8]=>0000010=>7
[5,1,2,7,3,4,6,8]=>0001010=>7
[1,5,2,7,3,4,6,8]=>0001010=>7
[1,5,7,2,3,4,6,8]=>0000010=>7
[5,1,2,3,7,4,6,8]=>0001010=>7
[1,5,2,3,7,4,6,8]=>0001010=>7
[1,2,5,3,7,4,6,8]=>0001010=>7
[1,2,5,7,3,4,6,8]=>0000010=>7
[1,5,2,3,4,7,6,8]=>0001010=>7
[1,2,5,3,4,7,6,8]=>0001010=>7
[1,2,3,5,7,4,6,8]=>0000010=>7
[5,1,2,3,4,7,8,6]=>0001001=>7
[1,5,2,3,4,7,8,6]=>0001001=>7
[1,2,5,3,4,7,8,6]=>0001001=>7
[1,2,3,5,7,4,8,6]=>0000011=>7
[1,2,3,5,7,8,4,6]=>0000001=>7
[5,1,8,2,3,4,6,7]=>0001001=>7
[5,8,1,2,3,4,6,7]=>0000001=>7
[5,1,2,8,3,4,6,7]=>0001001=>7
[1,5,2,8,3,4,6,7]=>0001001=>7
[1,5,8,2,3,4,6,7]=>0000001=>7
[5,1,2,3,8,4,6,7]=>0001001=>7
[1,5,2,3,8,4,6,7]=>0001001=>7
[1,2,5,3,8,4,6,7]=>0001001=>7
[1,2,5,8,3,4,6,7]=>0000001=>7
[5,1,2,3,4,8,6,7]=>0001001=>7
[1,5,2,3,4,8,6,7]=>0001001=>7
[1,2,5,3,4,8,6,7]=>0001001=>7
[1,2,3,5,4,8,6,7]=>0001001=>7
[1,2,3,5,8,4,6,7]=>0000001=>7
[5,1,2,3,4,6,8,7]=>0001001=>7
[1,5,2,3,4,6,8,7]=>0001001=>7
[1,2,5,3,4,6,8,7]=>0001001=>7
[1,2,3,5,6,8,4,7]=>0000001=>7
[1,5,2,3,4,6,7,8]=>0001000=>7
[1,2,5,3,4,6,7,8]=>0001000=>7
[6,1,7,2,8,3,4,5]=>0000111=>7
[6,7,1,2,8,3,4,5]=>0000011=>7
[6,1,7,8,2,3,4,5]=>0000101=>7
[6,7,1,8,2,3,4,5]=>0000011=>7
[6,1,7,2,3,8,4,5]=>0000111=>7
[6,7,1,2,3,8,4,5]=>0000011=>7
[6,1,2,7,3,8,4,5]=>0000111=>7
[1,6,2,7,3,8,4,5]=>0000111=>7
[1,6,7,2,3,8,4,5]=>0000011=>7
[6,1,2,7,8,3,4,5]=>0000101=>7
[1,6,2,7,8,3,4,5]=>0000101=>7
[1,6,7,2,8,3,4,5]=>0000011=>7
[1,6,7,8,2,3,4,5]=>0000001=>7
[6,1,7,2,3,4,8,5]=>0000111=>7
[6,7,1,2,3,4,8,5]=>0000011=>7
[6,1,2,7,3,4,8,5]=>0000111=>7
[1,6,2,7,3,4,8,5]=>0000111=>7
[1,6,7,2,3,4,8,5]=>0000011=>7
[6,1,2,3,7,4,8,5]=>0000111=>7
[1,6,2,3,7,4,8,5]=>0000111=>7
[1,2,6,3,7,4,8,5]=>0000111=>7
[1,2,6,7,3,4,8,5]=>0000011=>7
[6,1,2,3,7,8,4,5]=>0000101=>7
[1,6,2,3,7,8,4,5]=>0000101=>7
[1,2,6,3,7,8,4,5]=>0000101=>7
[1,2,6,7,3,8,4,5]=>0000011=>7
[1,2,6,7,8,3,4,5]=>0000001=>7
[6,1,7,2,3,4,5,8]=>0000110=>7
[6,1,2,7,3,4,5,8]=>0000110=>7
[1,6,2,7,3,4,5,8]=>0000110=>7
[1,6,7,2,3,4,5,8]=>0000010=>7
[6,1,2,3,7,4,5,8]=>0000110=>7
[1,6,2,3,7,4,5,8]=>0000110=>7
[1,2,6,3,7,4,5,8]=>0000110=>7
[1,2,6,7,3,4,5,8]=>0000010=>7
[6,1,2,3,4,7,5,8]=>0000110=>7
[1,6,2,3,4,7,5,8]=>0000110=>7
[1,2,6,3,4,7,5,8]=>0000110=>7
[1,2,3,6,4,7,5,8]=>0000110=>7
[1,2,3,6,7,4,5,8]=>0000010=>7
[6,1,2,3,4,7,8,5]=>0000101=>7
[1,6,2,3,4,7,8,5]=>0000101=>7
[1,2,6,3,4,7,8,5]=>0000101=>7
[1,2,3,6,4,7,8,5]=>0000101=>7
[1,2,3,6,7,4,8,5]=>0000011=>7
[1,2,3,6,7,8,4,5]=>0000001=>7
[6,1,8,2,3,4,5,7]=>0000101=>7
[6,8,1,2,3,4,5,7]=>0000001=>7
[6,1,2,8,3,4,5,7]=>0000101=>7
[1,6,2,8,3,4,5,7]=>0000101=>7
[1,6,8,2,3,4,5,7]=>0000001=>7
[6,1,2,3,8,4,5,7]=>0000101=>7
[1,6,2,3,8,4,5,7]=>0000101=>7
[1,2,6,3,8,4,5,7]=>0000101=>7
[1,2,6,8,3,4,5,7]=>0000001=>7
[6,1,2,3,4,8,5,7]=>0000101=>7
[1,6,2,3,4,8,5,7]=>0000101=>7
[1,2,6,3,4,8,5,7]=>0000101=>7
[1,2,3,6,4,8,5,7]=>0000101=>7
[1,2,3,6,8,4,5,7]=>0000001=>7
[6,1,2,3,4,5,8,7]=>0000101=>7
[1,6,2,3,4,5,8,7]=>0000101=>7
[1,2,6,3,4,5,8,7]=>0000101=>7
[1,2,3,6,4,5,8,7]=>0000101=>7
[1,2,3,4,6,8,5,7]=>0000001=>7
[1,6,2,3,4,5,7,8]=>0000100=>7
[1,2,6,3,4,5,7,8]=>0000100=>7
[1,2,3,6,4,5,7,8]=>0000100=>7
[7,1,8,2,3,4,5,6]=>0000011=>7
[7,1,2,8,3,4,5,6]=>0000011=>7
[1,7,2,8,3,4,5,6]=>0000011=>7
[1,7,8,2,3,4,5,6]=>0000001=>7
[7,1,2,3,8,4,5,6]=>0000011=>7
[1,7,2,3,8,4,5,6]=>0000011=>7
[1,2,7,3,8,4,5,6]=>0000011=>7
[1,2,7,8,3,4,5,6]=>0000001=>7
[7,1,2,3,4,8,5,6]=>0000011=>7
[1,7,2,3,4,8,5,6]=>0000011=>7
[1,2,7,3,4,8,5,6]=>0000011=>7
[1,2,3,7,4,8,5,6]=>0000011=>7
[1,2,3,7,8,4,5,6]=>0000001=>7
[7,1,2,3,4,5,8,6]=>0000011=>7
[1,7,2,3,4,5,8,6]=>0000011=>7
[1,2,7,3,4,5,8,6]=>0000011=>7
[1,2,3,7,4,5,8,6]=>0000011=>7
[1,2,3,4,7,5,8,6]=>0000011=>7
[1,2,3,4,7,8,5,6]=>0000001=>7
[1,7,2,3,4,5,6,8]=>0000010=>7
[1,2,7,3,4,5,6,8]=>0000010=>7
[1,2,3,7,4,5,6,8]=>0000010=>7
[1,2,3,4,7,5,6,8]=>0000010=>7
[1,8,2,3,4,5,6,7]=>0000001=>7
[1,2,8,3,4,5,6,7]=>0000001=>7
[1,2,3,8,4,5,6,7]=>0000001=>7
[1,2,3,4,8,5,6,7]=>0000001=>7
[1,2,3,4,5,8,6,7]=>0000001=>7
[5,3,2,6,1,4,8,7]=>0101101=>7
[7,3,2,5,4,8,1,6]=>0101011=>7
[8,4,5,2,3,7,6,1]=>0001111=>7
[7,4,5,2,3,8,1,6]=>0001011=>7
[6,4,5,2,3,1,8,7]=>0101101=>7
[5,4,6,2,1,3,8,7]=>1001101=>7
[3,6,1,5,4,2,8,7]=>0011101=>7
[4,6,5,1,3,2,8,7]=>0101101=>7
[5,6,4,3,1,2,8,7]=>0110101=>7
[7,5,4,3,2,8,1,6]=>0111011=>7
[8,6,4,3,7,2,5,1]=>0011111=>7
[7,6,4,3,8,2,1,5]=>1010111=>7
[6,7,4,3,8,1,2,5]=>0010011=>7
[5,7,4,3,1,8,2,6]=>0110011=>7
[4,7,5,1,3,8,2,6]=>0001011=>7
[3,7,1,5,4,8,2,6]=>0001011=>7
[2,1,7,5,4,8,3,6]=>1001011=>7
[3,8,1,5,4,7,6,2]=>0001111=>7
[4,8,5,1,3,7,6,2]=>0001111=>7
[5,8,4,3,1,7,6,2]=>0110111=>7
[6,8,4,3,7,1,5,2]=>0011011=>7
[7,8,4,3,6,5,1,2]=>0011101=>7
[6,8,5,7,3,1,4,2]=>0110011=>7
[5,8,6,7,1,3,4,2]=>0010011=>7
[4,8,6,1,7,3,5,2]=>0001111=>7
[3,8,1,6,7,4,5,2]=>0001011=>7
[2,1,8,6,7,4,5,3]=>1001011=>7
[2,1,7,6,8,4,3,5]=>1010011=>7
[3,7,1,6,8,4,2,5]=>0010011=>7
[4,7,6,1,8,3,2,5]=>0100111=>7
[5,7,6,8,1,3,2,4]=>0100011=>7
[5,4,7,2,1,8,3,6]=>1001011=>7
[6,4,7,2,8,1,3,5]=>0000111=>7
[7,4,6,2,8,3,1,5]=>0100111=>7
[8,4,6,2,7,3,5,1]=>0001111=>7
[8,3,2,6,7,4,5,1]=>0101011=>7
[7,3,2,6,8,4,1,5]=>0110011=>7
[6,3,2,7,8,1,4,5]=>0100101=>7
[5,3,2,7,1,8,4,6]=>0101011=>7
[4,3,2,1,7,8,5,6]=>1110001=>7
[3,4,1,2,8,7,6,5]=>0010111=>7
[5,3,2,8,1,7,6,4]=>0101111=>7
[6,3,2,8,7,1,5,4]=>0101111=>7
[7,3,2,8,6,5,1,4]=>0101111=>7
[8,4,7,2,6,5,3,1]=>0101111=>7
[7,4,8,2,6,5,1,3]=>0001111=>7
[6,4,8,2,7,1,5,3]=>0001111=>7
[5,4,8,2,1,7,6,3]=>1001111=>7
[4,5,8,1,2,7,6,3]=>0000111=>7
[3,5,1,8,2,7,6,4]=>0001111=>7
[2,1,5,8,3,7,6,4]=>1000111=>7
[2,1,6,8,7,3,5,4]=>1001011=>7
[3,6,1,8,7,2,5,4]=>0001111=>7
[4,6,8,1,7,2,5,3]=>0001011=>7
[5,6,8,7,1,2,4,3]=>0010011=>7
[6,5,8,7,2,1,4,3]=>1010111=>7
[7,5,8,6,2,4,1,3]=>0010111=>7
[8,5,7,6,2,4,3,1]=>0110111=>7
[5,7,8,6,1,4,2,3]=>0010101=>7
[4,7,8,1,6,5,2,3]=>0001101=>7
[3,7,1,8,6,5,2,4]=>0001111=>7
[2,1,7,8,6,5,3,4]=>1001101=>7
[3,8,1,7,6,5,4,2]=>0011111=>7
[4,8,7,1,6,5,3,2]=>0101111=>7
[5,8,7,6,1,4,3,2]=>0110111=>7
[6,8,7,5,4,1,3,2]=>0111011=>7
[2,1,4,3,6,5,8,7,10,9]=>101010101=>9
[3,4,1,2,6,5,8,7,10,9]=>001010101=>9
[4,3,2,1,6,5,8,7,10,9]=>111010101=>9
[6,3,2,5,4,1,8,7,10,9]=>011110101=>9
[8,3,2,5,4,7,6,1,10,9]=>010111101=>9
[10,3,2,5,4,7,6,9,8,1]=>010101111=>9
[4,5,6,1,2,3,8,7,10,9]=>000010101=>9
[3,5,1,6,2,4,8,7,10,9]=>000110101=>9
[2,1,5,6,3,4,8,7,10,9]=>100010101=>9
[2,1,6,5,4,3,8,7,10,9]=>101110101=>9
[6,5,4,3,2,1,8,7,10,9]=>111110101=>9
[8,5,4,3,2,7,6,1,10,9]=>011111101=>9
[10,5,4,3,2,7,6,9,8,1]=>011101111=>9
[2,1,8,5,4,7,6,3,10,9]=>100111101=>9
[8,7,4,3,6,5,2,1,10,9]=>101111101=>9
[10,7,4,3,6,5,2,9,8,1]=>001111111=>9
[2,1,10,5,4,7,6,9,8,3]=>100101111=>9
[10,9,4,3,6,5,8,7,2,1]=>101011111=>9
[8,9,5,6,3,4,10,1,2,7]=>000010011=>9
[5,6,7,8,1,2,3,4,10,9]=>000000101=>9
[4,6,7,1,8,2,3,5,10,9]=>000001101=>9
[3,6,1,7,8,2,4,5,10,9]=>000010101=>9
[2,1,6,7,8,3,4,5,10,9]=>100000101=>9
[2,1,5,7,3,8,4,6,10,9]=>100001101=>9
[3,5,1,7,2,8,4,6,10,9]=>000101101=>9
[4,5,7,1,2,8,3,6,10,9]=>000001101=>9
[3,4,1,2,7,8,5,6,10,9]=>001000101=>9
[2,1,4,3,7,8,5,6,10,9]=>101000101=>9
[2,1,4,3,8,7,6,5,10,9]=>101011101=>9
[4,3,2,1,8,7,6,5,10,9]=>111011101=>9
[8,3,2,7,6,5,4,1,10,9]=>011111101=>9
[10,3,2,7,6,5,4,9,8,1]=>010111111=>9
[2,1,8,7,6,5,4,3,10,9]=>101111101=>9
[8,7,6,5,4,3,2,1,10,9]=>111111101=>9
[9,7,6,5,4,3,2,10,1,8]=>011111011=>9
[10,7,6,5,4,3,2,9,8,1]=>011111111=>9
[2,1,10,7,6,5,4,9,8,3]=>100111111=>9
[10,9,6,5,4,3,8,7,2,1]=>101111111=>9
[2,1,4,3,10,7,6,9,8,5]=>101001111=>9
[4,3,2,1,10,7,6,9,8,5]=>111001111=>9
[10,3,2,9,6,5,8,7,4,1]=>011011111=>9
[2,1,10,9,6,5,8,7,4,3]=>101011111=>9
[10,9,8,5,4,7,6,3,2,1]=>110111111=>9
[10,8,9,6,7,4,5,2,3,1]=>010101011=>9
[2,1,7,8,9,10,3,4,5,6]=>100000001=>9
[3,7,1,8,9,10,2,4,5,6]=>000001001=>9
[4,7,8,1,9,10,2,3,5,6]=>000000101=>9
[5,7,8,9,1,10,2,3,4,6]=>000000011=>9
[6,7,8,9,10,1,2,3,4,5]=>000000001=>9
[5,6,8,9,1,2,10,3,4,7]=>000000011=>9
[4,6,8,1,9,2,10,3,5,7]=>000000111=>9
[3,6,1,8,9,2,10,4,5,7]=>000010011=>9
[2,1,6,8,9,3,10,4,5,7]=>100000011=>9
[2,1,5,8,3,9,10,4,6,7]=>100000101=>9
[3,5,1,8,2,9,10,4,6,7]=>000100101=>9
[4,5,8,1,2,9,10,3,6,7]=>000000101=>9
[7,3,2,8,9,10,1,4,5,6]=>010001001=>9
[3,4,1,2,8,9,10,5,6,7]=>001000001=>9
[2,1,4,3,8,9,10,5,6,7]=>101000001=>9
[2,1,4,3,7,9,5,10,6,8]=>101000011=>9
[3,4,1,2,7,9,5,10,6,8]=>001000011=>9
[4,5,7,1,2,9,3,10,6,8]=>000001011=>9
[3,5,1,7,2,9,4,10,6,8]=>000101011=>9
[2,1,5,7,3,9,4,10,6,8]=>100001011=>9
[2,1,6,7,9,3,4,10,5,8]=>100000011=>9
[3,6,1,7,9,2,4,10,5,8]=>000010011=>9
[4,6,7,1,9,2,3,10,5,8]=>000001011=>9
[5,6,7,9,1,2,3,10,4,8]=>000000011=>9
[8,5,4,3,2,9,10,1,6,7]=>011100101=>9
[2,1,5,6,3,4,9,10,7,8]=>100010001=>9
[3,5,1,6,2,4,9,10,7,8]=>000110001=>9
[4,5,6,1,2,3,9,10,7,8]=>000010001=>9
[3,4,1,2,6,5,9,10,7,8]=>001010001=>9
[2,1,4,3,6,5,9,10,7,8]=>101010001=>9
[2,1,4,3,6,5,10,9,8,7]=>101010111=>9
[4,3,2,1,6,5,10,9,8,7]=>111010111=>9
[6,3,2,5,4,1,10,9,8,7]=>011110111=>9
[10,3,2,5,4,9,8,7,6,1]=>010111111=>9
[2,1,6,5,4,3,10,9,8,7]=>101110111=>9
[6,5,4,3,2,1,10,9,8,7]=>111110111=>9
[10,5,4,3,2,9,8,7,6,1]=>011111111=>9
[2,1,10,5,4,9,8,7,6,3]=>100111111=>9
[10,9,4,3,8,7,6,5,2,1]=>101111111=>9
[9,7,5,10,3,8,2,6,1,4]=>000011111=>9
[2,1,4,3,10,9,8,7,6,5]=>101011111=>9
[4,3,2,1,10,9,8,7,6,5]=>111011111=>9
[10,3,2,9,8,7,6,5,4,1]=>011111111=>9
[2,1,10,9,8,7,6,5,4,3]=>101111111=>9
[9,10,8,7,6,5,4,3,1,2]=>011111101=>9
[10,9,8,7,6,5,4,3,2,1]=>111111111=>1
[3,2,5,1,4,6,7,8]=>0101000=>7
[4,2,5,1,3,6,7,8]=>0011000=>7
[5,2,4,1,3,6,7,8]=>0011000=>7
[3,2,6,1,4,5,7,8]=>0100100=>7
[4,2,6,1,3,5,7,8]=>0010100=>7
[5,3,6,1,2,4,7,8]=>0001100=>7
[6,2,4,1,3,5,7,8]=>0010100=>7
[6,3,5,1,2,4,7,8]=>0001100=>7
[5,2,7,1,3,4,6,8]=>0001010=>7
[5,3,7,1,2,4,6,8]=>0001010=>7
[5,4,7,1,2,3,6,8]=>0001010=>7
[6,2,7,1,3,4,5,8]=>0000110=>7
[6,3,7,1,2,4,5,8]=>0000110=>7
[6,4,7,1,2,3,5,8]=>0000110=>7
[7,3,5,1,2,4,6,8]=>0001010=>7
[7,3,6,1,2,4,5,8]=>0000110=>7
[7,4,6,1,2,3,5,8]=>0000110=>7
[3,2,8,1,4,5,6,7]=>0100001=>7
[4,2,8,1,3,5,6,7]=>0010001=>7
[5,2,8,1,3,4,6,7]=>0001001=>7
[5,4,8,1,2,3,6,7]=>0001001=>7
[6,2,8,1,3,4,5,7]=>0000101=>7
[6,3,8,1,2,4,5,7]=>0000101=>7
[6,4,8,1,2,3,5,7]=>0000101=>7
[6,5,8,1,2,3,4,7]=>0000101=>7
[7,2,8,1,3,4,5,6]=>0000011=>7
[7,3,8,1,2,4,5,6]=>0000011=>7
[7,4,8,1,2,3,5,6]=>0000011=>7
[7,5,8,1,2,3,4,6]=>0000011=>7
[8,2,4,1,3,5,6,7]=>0010001=>7
[8,3,5,1,2,4,6,7]=>0001001=>7
[8,3,6,1,2,4,5,7]=>0000101=>7
[8,3,7,1,2,4,5,6]=>0000011=>7
[8,4,7,1,2,3,5,6]=>0000011=>7
[8,5,7,1,2,3,4,6]=>0000011=>7
[3,2,5,7,1,4,6,8]=>0100010=>7
[4,2,5,7,1,3,6,8]=>0010010=>7
[4,3,5,7,1,2,6,8]=>0010010=>7
[5,2,4,7,1,3,6,8]=>0001010=>7
[5,3,4,7,1,2,6,8]=>0001010=>7
[4,2,6,7,1,3,5,8]=>0010010=>7
[5,2,6,7,1,3,4,8]=>0001010=>7
[5,3,6,7,1,2,4,8]=>0001010=>7
[6,2,5,7,1,3,4,8]=>0000110=>7
[6,3,5,7,1,2,4,8]=>0000110=>7
[7,2,4,6,1,3,5,8]=>0000110=>7
[7,3,4,6,1,2,5,8]=>0000110=>7
[7,3,5,6,1,2,4,8]=>0000110=>7
[3,2,5,8,1,4,6,7]=>0100001=>7
[4,2,5,8,1,3,6,7]=>0010001=>7
[4,3,5,8,1,2,6,7]=>0010001=>7
[5,2,4,8,1,3,6,7]=>0001001=>7
[3,2,6,8,1,4,5,7]=>0100001=>7
[4,2,6,8,1,3,5,7]=>0010001=>7
[4,3,6,8,1,2,5,7]=>0010001=>7
[5,2,6,8,1,3,4,7]=>0001001=>7
[6,2,4,8,1,3,5,7]=>0000101=>7
[6,2,5,8,1,3,4,7]=>0000101=>7
[6,3,5,8,1,2,4,7]=>0000101=>7
[6,4,5,8,1,2,3,7]=>0000101=>7
[3,2,7,8,1,4,5,6]=>0100001=>7
[4,3,7,8,1,2,5,6]=>0010001=>7
[5,3,7,8,1,2,4,6]=>0001001=>7
[5,4,7,8,1,2,3,6]=>0001001=>7
[6,2,7,8,1,3,4,5]=>0000101=>7
[6,3,7,8,1,2,4,5]=>0000101=>7
[6,4,7,8,1,2,3,5]=>0000101=>7
[7,2,4,8,1,3,5,6]=>0000011=>7
[7,3,4,8,1,2,5,6]=>0000011=>7
[7,3,5,8,1,2,4,6]=>0000011=>7
[7,4,5,8,1,2,3,6]=>0000011=>7
[7,4,6,8,1,2,3,5]=>0000011=>7
[8,2,4,6,1,3,5,7]=>0000101=>7
[8,3,4,6,1,2,5,7]=>0000101=>7
[8,2,5,6,1,3,4,7]=>0000101=>7
[8,3,5,6,1,2,4,7]=>0000101=>7
[8,2,4,7,1,3,5,6]=>0000011=>7
[8,2,5,7,1,3,4,6]=>0000011=>7
[8,3,5,7,1,2,4,6]=>0000011=>7
[8,2,6,7,1,3,4,5]=>0000011=>7
[8,4,6,7,1,2,3,5]=>0000011=>7
[3,6,2,5,1,4,7,8]=>0001100=>7
[4,6,2,5,1,3,7,8]=>0001100=>7
[4,6,3,5,1,2,7,8]=>0001100=>7
[5,6,2,4,1,3,7,8]=>0010100=>7
[3,7,2,5,1,4,6,8]=>0001010=>7
[4,7,3,5,1,2,6,8]=>0001010=>7
[5,7,2,4,1,3,6,8]=>0010010=>7
[5,7,3,4,1,2,6,8]=>0010010=>7
[3,7,2,6,1,4,5,8]=>0000110=>7
[4,7,3,6,1,2,5,8]=>0000110=>7
[5,7,2,6,1,3,4,8]=>0000110=>7
[5,7,3,6,1,2,4,8]=>0000110=>7
[6,7,2,5,1,3,4,8]=>0001010=>7
[4,8,2,5,1,3,6,7]=>0001001=>7
[5,8,3,4,1,2,6,7]=>0010001=>7
[3,8,2,6,1,4,5,7]=>0000101=>7
[4,8,2,6,1,3,5,7]=>0000101=>7
[5,8,3,6,1,2,4,7]=>0000101=>7
[5,8,4,6,1,2,3,7]=>0000101=>7
[6,8,2,4,1,3,5,7]=>0010001=>7
[6,8,3,4,1,2,5,7]=>0010001=>7
[6,8,3,5,1,2,4,7]=>0001001=>7
[6,8,4,5,1,2,3,7]=>0001001=>7
[3,8,2,7,1,4,5,6]=>0000011=>7
[4,8,2,7,1,3,5,6]=>0000011=>7
[4,8,3,7,1,2,5,6]=>0000011=>7
[5,8,2,7,1,3,4,6]=>0000011=>7
[5,8,3,7,1,2,4,6]=>0000011=>7
[5,8,4,7,1,2,3,6]=>0000011=>7
[6,8,2,7,1,3,4,5]=>0000011=>7
[6,8,3,7,1,2,4,5]=>0000011=>7
[6,8,5,7,1,2,3,4]=>0000011=>7
[7,8,2,4,1,3,5,6]=>0010001=>7
[7,8,2,5,1,3,4,6]=>0001001=>7
[7,8,3,5,1,2,4,6]=>0001001=>7
[7,8,4,6,1,2,3,5]=>0000101=>7
[4,3,2,6,1,5,7,8]=>0110100=>7
[5,3,2,6,1,4,7,8]=>0101100=>7
[5,4,2,6,1,3,7,8]=>0011100=>7
[6,3,2,5,1,4,7,8]=>0101100=>7
[6,4,2,5,1,3,7,8]=>0011100=>7
[6,5,2,4,1,3,7,8]=>0011100=>7
[4,3,2,7,1,5,6,8]=>0110010=>7
[5,3,2,7,1,4,6,8]=>0101010=>7
[5,4,3,7,1,2,6,8]=>0011010=>7
[6,3,2,7,1,4,5,8]=>0100110=>7
[6,4,2,7,1,3,5,8]=>0010110=>7
[6,4,3,7,1,2,5,8]=>0010110=>7
[6,5,2,7,1,3,4,8]=>0001110=>7
[6,5,3,7,1,2,4,8]=>0001110=>7
[7,3,2,5,1,4,6,8]=>0101010=>7
[7,4,2,5,1,3,6,8]=>0011010=>7
[7,3,2,6,1,4,5,8]=>0100110=>7
[7,4,2,6,1,3,5,8]=>0010110=>7
[7,4,3,6,1,2,5,8]=>0010110=>7
[7,5,2,6,1,3,4,8]=>0001110=>7
[7,5,3,6,1,2,4,8]=>0001110=>7
[7,6,3,5,1,2,4,8]=>0001110=>7
[4,3,2,8,1,5,6,7]=>0110001=>7
[5,3,2,8,1,4,6,7]=>0101001=>7
[5,4,3,8,1,2,6,7]=>0011001=>7
[6,3,2,8,1,4,5,7]=>0100101=>7
[6,4,2,8,1,3,5,7]=>0010101=>7
[6,4,3,8,1,2,5,7]=>0010101=>7
[6,5,2,8,1,3,4,7]=>0001101=>7
[6,5,3,8,1,2,4,7]=>0001101=>7
[6,5,4,8,1,2,3,7]=>0001101=>7
[7,3,2,8,1,4,5,6]=>0100011=>7
[7,4,2,8,1,3,5,6]=>0010011=>7
[7,4,3,8,1,2,5,6]=>0010011=>7
[7,5,3,8,1,2,4,6]=>0001011=>7
[7,5,4,8,1,2,3,6]=>0001011=>7
[7,6,2,8,1,3,4,5]=>0000111=>7
[8,3,2,5,1,4,6,7]=>0101001=>7
[8,4,2,5,1,3,6,7]=>0011001=>7
[8,3,2,6,1,4,5,7]=>0100101=>7
[8,4,2,6,1,3,5,7]=>0010101=>7
[8,5,3,6,1,2,4,7]=>0001101=>7
[8,6,2,4,1,3,5,7]=>0010101=>7
[8,6,2,5,1,3,4,7]=>0001101=>7
[8,3,2,7,1,4,5,6]=>0100011=>7
[8,4,2,7,1,3,5,6]=>0010011=>7
[8,4,3,7,1,2,5,6]=>0010011=>7
[8,5,2,7,1,3,4,6]=>0001011=>7
[8,5,3,7,1,2,4,6]=>0001011=>7
[8,5,4,7,1,2,3,6]=>0001011=>7
[8,6,3,7,1,2,4,5]=>0000111=>7
[8,7,2,4,1,3,5,6]=>0010011=>7
[8,7,2,5,1,3,4,6]=>0001011=>7
[8,7,3,5,1,2,4,6]=>0001011=>7
[8,7,2,6,1,3,4,5]=>0000111=>7
[8,7,3,6,1,2,4,5]=>0000111=>7
[8,7,4,6,1,2,3,5]=>0000111=>7
[3,6,2,5,8,1,4,7]=>0000101=>7
[4,6,3,5,8,1,2,7]=>0000101=>7
[5,6,2,4,8,1,3,7]=>0000101=>7
[4,7,2,5,8,1,3,6]=>0000011=>7
[4,7,3,5,8,1,2,6]=>0000011=>7
[5,7,2,4,8,1,3,6]=>0000011=>7
[5,7,3,4,8,1,2,6]=>0000011=>7
[3,7,2,6,8,1,4,5]=>0000011=>7
[4,7,3,6,8,1,2,5]=>0000011=>7
[5,7,2,6,8,1,3,4]=>0000011=>7
[5,7,4,6,8,1,2,3]=>0000011=>7
[6,7,3,4,8,1,2,5]=>0000011=>7
[6,7,3,5,8,1,2,4]=>0000011=>7
[3,8,2,5,7,1,4,6]=>0000011=>7
[4,8,2,5,7,1,3,6]=>0000011=>7
[4,8,3,5,7,1,2,6]=>0000011=>7
[5,8,2,4,7,1,3,6]=>0000011=>7
[3,8,2,6,7,1,4,5]=>0000011=>7
[4,8,3,6,7,1,2,5]=>0000011=>7
[5,8,2,6,7,1,3,4]=>0000011=>7
[5,8,3,6,7,1,2,4]=>0000011=>7
[5,8,4,6,7,1,2,3]=>0000011=>7
[6,8,2,5,7,1,3,4]=>0000011=>7
[6,8,3,5,7,1,2,4]=>0000011=>7
[6,8,4,5,7,1,2,3]=>0000011=>7
[7,8,2,4,6,1,3,5]=>0000101=>7
[7,8,3,4,6,1,2,5]=>0000101=>7
[7,8,2,5,6,1,3,4]=>0000101=>7
[7,8,3,5,6,1,2,4]=>0000101=>7
[4,3,2,6,8,1,5,7]=>0110001=>7
[5,3,2,6,8,1,4,7]=>0101001=>7
[5,4,2,6,8,1,3,7]=>0011001=>7
[5,4,3,6,8,1,2,7]=>0011001=>7
[6,3,2,5,8,1,4,7]=>0100101=>7
[6,4,3,5,8,1,2,7]=>0010101=>7
[6,5,2,4,8,1,3,7]=>0001101=>7
[4,3,2,7,8,1,5,6]=>0110001=>7
[5,3,2,7,8,1,4,6]=>0101001=>7
[5,4,2,7,8,1,3,6]=>0011001=>7
[5,4,3,7,8,1,2,6]=>0011001=>7
[6,4,2,7,8,1,3,5]=>0010101=>7
[6,4,3,7,8,1,2,5]=>0010101=>7
[6,5,2,7,8,1,3,4]=>0001101=>7
[7,4,2,5,8,1,3,6]=>0010011=>7
[7,4,3,5,8,1,2,6]=>0010011=>7
[7,5,3,4,8,1,2,6]=>0001011=>7
[7,3,2,6,8,1,4,5]=>0100011=>7
[7,5,2,6,8,1,3,4]=>0001011=>7
[7,5,3,6,8,1,2,4]=>0001011=>7
[7,6,2,4,8,1,3,5]=>0000111=>7
[7,6,3,5,8,1,2,4]=>0000111=>7
[8,3,2,5,7,1,4,6]=>0100011=>7
[8,4,2,5,7,1,3,6]=>0010011=>7
[8,5,2,4,7,1,3,6]=>0001011=>7
[8,3,2,6,7,1,4,5]=>0100011=>7
[8,4,2,6,7,1,3,5]=>0010011=>7
[8,5,2,6,7,1,3,4]=>0001011=>7
[8,5,3,6,7,1,2,4]=>0001011=>7
[8,6,2,4,7,1,3,5]=>0000111=>7
[8,6,2,5,7,1,3,4]=>0000111=>7
[8,6,3,5,7,1,2,4]=>0000111=>7
[8,7,2,4,6,1,3,5]=>0000111=>7
[8,7,3,4,6,1,2,5]=>0000111=>7
[8,7,2,5,6,1,3,4]=>0000111=>7
[8,7,3,5,6,1,2,4]=>0000111=>7
[4,3,7,2,6,1,5,8]=>0010110=>7
[5,3,7,2,6,1,4,8]=>0001110=>7
[5,4,7,2,6,1,3,8]=>0001110=>7
[6,3,7,2,5,1,4,8]=>0001110=>7
[6,4,7,2,5,1,3,8]=>0001110=>7
[6,4,7,3,5,1,2,8]=>0001110=>7
[7,3,6,2,5,1,4,8]=>0001110=>7
[4,3,8,2,6,1,5,7]=>0010101=>7
[5,3,8,2,6,1,4,7]=>0001101=>7
[5,4,8,2,6,1,3,7]=>0001101=>7
[5,4,8,3,6,1,2,7]=>0001101=>7
[6,3,8,2,5,1,4,7]=>0001101=>7
[6,4,8,2,5,1,3,7]=>0001101=>7
[6,4,8,3,5,1,2,7]=>0001101=>7
[6,5,8,2,4,1,3,7]=>0010101=>7
[6,5,8,3,4,1,2,7]=>0010101=>7
[4,3,8,2,7,1,5,6]=>0010011=>7
[5,3,8,2,7,1,4,6]=>0001011=>7
[5,4,8,2,7,1,3,6]=>0001011=>7
[5,4,8,3,7,1,2,6]=>0001011=>7
[6,3,8,2,7,1,4,5]=>0000111=>7
[6,4,8,2,7,1,3,5]=>0000111=>7
[6,4,8,3,7,1,2,5]=>0000111=>7
[6,5,8,2,7,1,3,4]=>0000111=>7
[7,3,8,2,5,1,4,6]=>0001011=>7
[7,4,8,3,5,1,2,6]=>0001011=>7
[7,5,8,2,4,1,3,6]=>0010011=>7
[7,5,8,3,4,1,2,6]=>0010011=>7
[7,3,8,2,6,1,4,5]=>0000111=>7
[7,4,8,2,6,1,3,5]=>0000111=>7
[7,5,8,2,6,1,3,4]=>0000111=>7
[7,5,8,3,6,1,2,4]=>0000111=>7
[7,5,8,4,6,1,2,3]=>0000111=>7
[7,6,8,2,5,1,3,4]=>0001011=>7
[7,6,8,3,5,1,2,4]=>0001011=>7
[8,3,6,2,5,1,4,7]=>0001101=>7
[8,4,6,2,5,1,3,7]=>0001101=>7
[8,5,6,2,4,1,3,7]=>0010101=>7
[8,3,7,2,5,1,4,6]=>0001011=>7
[8,4,7,3,5,1,2,6]=>0001011=>7
[8,5,7,2,4,1,3,6]=>0010011=>7
[8,3,7,2,6,1,4,5]=>0000111=>7
[8,4,7,2,6,1,3,5]=>0000111=>7
[8,4,7,3,6,1,2,5]=>0000111=>7
[8,5,7,2,6,1,3,4]=>0000111=>7
[8,6,7,2,4,1,3,5]=>0010011=>7
[8,6,7,2,5,1,3,4]=>0001011=>7
[8,6,7,3,5,1,2,4]=>0001011=>7
[5,4,3,2,7,1,6,8]=>0111010=>7
[6,4,3,2,7,1,5,8]=>0110110=>7
[6,5,3,2,7,1,4,8]=>0101110=>7
[6,5,4,2,7,1,3,8]=>0011110=>7
[7,5,3,2,6,1,4,8]=>0101110=>7
[7,5,4,2,6,1,3,8]=>0011110=>7
[7,6,3,2,5,1,4,8]=>0101110=>7
[5,4,3,2,8,1,6,7]=>0111001=>7
[6,5,3,2,8,1,4,7]=>0101101=>7
[6,5,4,2,8,1,3,7]=>0011101=>7
[6,5,4,3,8,1,2,7]=>0011101=>7
[7,5,3,2,8,1,4,6]=>0101011=>7
[7,5,4,2,8,1,3,6]=>0011011=>7
[7,6,3,2,8,1,4,5]=>0100111=>7
[7,6,4,3,8,1,2,5]=>0010111=>7
[7,6,5,2,8,1,3,4]=>0001111=>7
[7,6,5,3,8,1,2,4]=>0001111=>7
[8,5,3,2,6,1,4,7]=>0101101=>7
[8,5,4,2,6,1,3,7]=>0011101=>7
[8,6,4,2,5,1,3,7]=>0011101=>7
[8,6,5,2,4,1,3,7]=>0011101=>7
[8,5,3,2,7,1,4,6]=>0101011=>7
[8,6,3,2,7,1,4,5]=>0100111=>7
[8,6,4,2,7,1,3,5]=>0010111=>7
[8,6,4,3,7,1,2,5]=>0010111=>7
[8,6,5,3,7,1,2,4]=>0001111=>7
[8,7,3,2,6,1,4,5]=>0100111=>7
[8,7,4,2,6,1,3,5]=>0010111=>7
[8,7,4,3,6,1,2,5]=>0010111=>7
[8,7,5,2,6,1,3,4]=>0001111=>7
[8,7,5,3,6,1,2,4]=>0001111=>7
[8,7,6,2,4,1,3,5]=>0010111=>7
[8,7,6,2,5,1,3,4]=>0001111=>7
[8,7,6,3,5,1,2,4]=>0001111=>7
[4,8,3,7,2,6,1,5]=>0000111=>7
[5,8,3,7,2,6,1,4]=>0000111=>7
[5,8,4,7,2,6,1,3]=>0000111=>7
[5,8,4,7,3,6,1,2]=>0000111=>7
[6,8,3,7,2,5,1,4]=>0001011=>7
[6,8,4,7,2,5,1,3]=>0001011=>7
[6,8,4,7,3,5,1,2]=>0001011=>7
[6,8,5,7,2,4,1,3]=>0010011=>7
[6,8,5,7,3,4,1,2]=>0010011=>7
[7,8,3,6,2,5,1,4]=>0001101=>7
[7,8,4,6,2,5,1,3]=>0001101=>7
[7,8,4,6,3,5,1,2]=>0001101=>7
[7,8,5,6,2,4,1,3]=>0010101=>7
[5,4,3,8,2,7,1,6]=>0011011=>7
[6,4,3,8,2,7,1,5]=>0010111=>7
[6,5,3,8,2,7,1,4]=>0001111=>7
[6,5,4,8,2,7,1,3]=>0001111=>7
[6,5,4,8,3,7,1,2]=>0001111=>7
[7,4,3,8,2,6,1,5]=>0010111=>7
[7,5,3,8,2,6,1,4]=>0001111=>7
[7,5,4,8,2,6,1,3]=>0001111=>7
[7,6,3,8,2,5,1,4]=>0001111=>7
[7,6,4,8,2,5,1,3]=>0001111=>7
[7,6,5,8,2,4,1,3]=>0010111=>7
[8,4,3,7,2,6,1,5]=>0010111=>7
[8,5,3,7,2,6,1,4]=>0001111=>7
[8,5,4,7,2,6,1,3]=>0001111=>7
[8,5,4,7,3,6,1,2]=>0001111=>7
[8,6,3,7,2,5,1,4]=>0001111=>7
[8,6,4,7,2,5,1,3]=>0001111=>7
[8,6,4,7,3,5,1,2]=>0001111=>7
[8,6,5,7,2,4,1,3]=>0010111=>7
[8,7,3,6,2,5,1,4]=>0001111=>7
[8,7,4,6,2,5,1,3]=>0001111=>7
[8,7,4,6,3,5,1,2]=>0001111=>7
[8,7,5,6,2,4,1,3]=>0010111=>7
[6,5,4,3,2,8,1,7]=>0111101=>7
[7,6,4,3,2,8,1,5]=>0110111=>7
[7,6,5,4,2,8,1,3]=>0011111=>7
[8,5,4,3,2,7,1,6]=>0111011=>7
[8,6,4,3,2,7,1,5]=>0110111=>7
[8,6,5,3,2,7,1,4]=>0101111=>7
[8,6,5,4,2,7,1,3]=>0011111=>7
[8,7,4,3,2,6,1,5]=>0110111=>7
[8,7,5,3,2,6,1,4]=>0101111=>7
[8,7,5,4,2,6,1,3]=>0011111=>7
[8,7,6,3,2,5,1,4]=>0101111=>7
[8,7,6,4,2,5,1,3]=>0011111=>7
[8,7,6,5,2,4,1,3]=>0011111=>7
[8,1,2,3,4,7,5,6]=>0000011=>7
[8,1,2,3,6,4,5,7]=>0000101=>7
[8,1,2,3,7,4,5,6]=>0000011=>7
[7,1,2,3,6,4,8,5]=>0000111=>7
[5,1,2,3,8,7,4,6]=>0001011=>7
[8,1,2,3,6,7,4,5]=>0000011=>7
[4,1,2,8,3,7,5,6]=>0010011=>7
[8,1,2,5,3,4,6,7]=>0001001=>7
[7,1,2,5,3,4,8,6]=>0001011=>7
[8,1,2,6,3,4,5,7]=>0000101=>7
[7,1,2,6,3,4,8,5]=>0000111=>7
[6,1,2,5,3,8,4,7]=>0001101=>7
[8,1,2,5,3,7,4,6]=>0001011=>7
[8,1,2,6,3,7,4,5]=>0000111=>7
[6,1,2,5,3,7,8,4]=>0001101=>7
[4,1,2,8,6,3,5,7]=>0010101=>7
[4,1,2,8,7,3,5,6]=>0010011=>7
[4,1,2,7,6,3,8,5]=>0010111=>7
[8,1,2,5,6,3,4,7]=>0000101=>7
[8,1,2,5,7,3,4,6]=>0000011=>7
[8,1,2,7,6,3,4,5]=>0000111=>7
[7,1,2,5,6,3,8,4]=>0000111=>7
[4,1,2,5,8,7,3,6]=>0010011=>7
[4,1,2,8,6,7,3,5]=>0010011=>7
[8,1,2,5,6,7,3,4]=>0000011=>7
[3,1,8,2,4,7,5,6]=>0100011=>7
[3,1,8,2,6,4,5,7]=>0100101=>7
[3,1,8,2,7,4,5,6]=>0100011=>7
[3,1,7,2,6,4,8,5]=>0100111=>7
[3,1,5,2,8,7,4,6]=>0101011=>7
[3,1,8,2,6,7,4,5]=>0100011=>7
[8,1,4,2,3,5,6,7]=>0010001=>7
[7,1,4,2,3,5,8,6]=>0010011=>7
[6,1,4,2,3,8,5,7]=>0010101=>7
[8,1,4,2,3,7,5,6]=>0010011=>7
[6,1,4,2,3,7,8,5]=>0010101=>7
[8,1,5,2,3,4,6,7]=>0001001=>7
[7,1,5,2,3,4,8,6]=>0001011=>7
[8,1,7,2,3,4,5,6]=>0000011=>7
[6,1,5,2,3,8,4,7]=>0001101=>7
[8,1,5,2,3,7,4,6]=>0001011=>7
[6,1,8,2,3,7,4,5]=>0000111=>7
[6,1,5,2,3,7,8,4]=>0001101=>7
[5,1,4,2,8,3,6,7]=>0011001=>7
[5,1,4,2,7,3,8,6]=>0011011=>7
[8,1,4,2,6,3,5,7]=>0010101=>7
[8,1,4,2,7,3,5,6]=>0010011=>7
[7,1,4,2,6,3,8,5]=>0010111=>7
[8,1,5,2,6,3,4,7]=>0001101=>7
[8,1,5,2,7,3,4,6]=>0001011=>7
[7,1,8,2,6,3,4,5]=>0000111=>7
[7,1,5,2,6,3,8,4]=>0001111=>7
[5,1,4,2,6,8,3,7]=>0011001=>7
[5,1,4,2,8,7,3,6]=>0011011=>7
[8,1,4,2,6,7,3,5]=>0010011=>7
[8,1,5,2,6,7,3,4]=>0001011=>7
[5,1,4,2,6,7,8,3]=>0011001=>7
[3,1,4,8,2,7,5,6]=>0100011=>7
[3,1,8,5,2,4,6,7]=>0101001=>7
[3,1,7,5,2,4,8,6]=>0101011=>7
[3,1,8,6,2,4,5,7]=>0100101=>7
[3,1,7,6,2,4,8,5]=>0100111=>7
[3,1,6,5,2,8,4,7]=>0101101=>7
[3,1,8,5,2,7,4,6]=>0101011=>7
[3,1,8,6,2,7,4,5]=>0100111=>7
[3,1,6,5,2,7,8,4]=>0101101=>7
[8,1,4,5,2,3,6,7]=>0001001=>7
[7,1,4,5,2,3,8,6]=>0001011=>7
[8,1,4,6,2,3,5,7]=>0000101=>7
[7,1,4,8,2,3,5,6]=>0000011=>7
[7,1,4,6,2,3,8,5]=>0000111=>7
[8,1,6,5,2,3,4,7]=>0001101=>7
[7,1,8,5,2,3,4,6]=>0001011=>7
[7,1,8,6,2,3,4,5]=>0000111=>7
[7,1,6,5,2,3,8,4]=>0001111=>7
[6,1,4,5,2,8,3,7]=>0001101=>7
[8,1,4,5,2,7,3,6]=>0001011=>7
[8,1,4,6,2,7,3,5]=>0000111=>7
[8,1,6,5,2,7,3,4]=>0001111=>7
[6,1,4,5,2,7,8,3]=>0001101=>7
[3,1,4,8,6,2,5,7]=>0100101=>7
[3,1,4,8,7,2,5,6]=>0100011=>7
[3,1,4,7,6,2,8,5]=>0100111=>7
[3,1,8,5,6,2,4,7]=>0100101=>7
[3,1,8,5,7,2,4,6]=>0100011=>7
[3,1,8,7,6,2,4,5]=>0100111=>7
[3,1,7,5,6,2,8,4]=>0100111=>7
[8,1,4,5,6,2,3,7]=>0000101=>7
[8,1,4,5,7,2,3,6]=>0000011=>7
[8,1,4,7,6,2,3,5]=>0000111=>7
[8,1,7,5,6,2,3,4]=>0000111=>7
[7,1,4,5,6,2,8,3]=>0000111=>7
[3,1,4,5,8,7,2,6]=>0100011=>7
[3,1,4,8,6,7,2,5]=>0100011=>7
[3,1,8,5,6,7,2,4]=>0100011=>7
[8,1,4,5,6,7,2,3]=>0000011=>7
[2,8,1,3,4,7,5,6]=>0000011=>7
[2,8,1,3,6,4,5,7]=>0000101=>7
[2,8,1,3,7,4,5,6]=>0000011=>7
[2,7,1,3,6,4,8,5]=>0000111=>7
[2,5,1,3,8,7,4,6]=>0001011=>7
[2,8,1,3,6,7,4,5]=>0000011=>7
[2,4,1,8,3,7,5,6]=>0010011=>7
[2,8,1,5,3,4,6,7]=>0001001=>7
[2,7,1,5,3,4,8,6]=>0001011=>7
[2,8,1,6,3,4,5,7]=>0000101=>7
[2,7,1,6,3,4,8,5]=>0000111=>7
[2,6,1,5,3,8,4,7]=>0001101=>7
[2,8,1,5,3,7,4,6]=>0001011=>7
[2,6,1,5,3,7,8,4]=>0001101=>7
[2,4,1,8,6,3,5,7]=>0010101=>7
[2,4,1,8,7,3,5,6]=>0010011=>7
[2,4,1,7,6,3,8,5]=>0010111=>7
[2,8,1,5,6,3,4,7]=>0000101=>7
[2,8,1,5,7,3,4,6]=>0000011=>7
[2,8,1,7,6,3,4,5]=>0000111=>7
[2,7,1,5,6,3,8,4]=>0000111=>7
[2,4,1,5,8,7,3,6]=>0010011=>7
[2,4,1,8,6,7,3,5]=>0010011=>7
[2,8,1,5,6,7,3,4]=>0000011=>7
[7,3,1,2,4,5,8,6]=>0100011=>7
[6,3,1,2,4,8,5,7]=>0100101=>7
[8,3,1,2,4,7,5,6]=>0100011=>7
[6,3,1,2,4,7,8,5]=>0100101=>7
[5,3,1,2,8,4,6,7]=>0101001=>7
[5,3,1,2,7,4,8,6]=>0101011=>7
[8,3,1,2,6,4,5,7]=>0100101=>7
[8,3,1,2,7,4,5,6]=>0100011=>7
[7,3,1,2,6,4,8,5]=>0100111=>7
[5,3,1,2,6,8,4,7]=>0101001=>7
[5,3,1,2,8,7,4,6]=>0101011=>7
[8,3,1,2,6,7,4,5]=>0100011=>7
[5,3,1,2,6,7,8,4]=>0101001=>7
[7,4,1,2,3,5,8,6]=>0010011=>7
[6,4,1,2,3,8,5,7]=>0010101=>7
[8,4,1,2,3,7,5,6]=>0010011=>7
[6,4,1,2,3,7,8,5]=>0010101=>7
[7,6,1,2,3,4,8,5]=>0000111=>7
[5,8,1,2,3,7,4,6]=>0000011=>7
[8,6,1,2,3,7,4,5]=>0000111=>7
[5,4,1,2,8,3,6,7]=>0011001=>7
[5,4,1,2,7,3,8,6]=>0011011=>7
[8,4,1,2,6,3,5,7]=>0010101=>7
[8,4,1,2,7,3,5,6]=>0010011=>7
[7,4,1,2,6,3,8,5]=>0010111=>7
[5,8,1,2,6,3,4,7]=>0000101=>7
[5,8,1,2,7,3,4,6]=>0000011=>7
[8,7,1,2,6,3,4,5]=>0000111=>7
[5,7,1,2,6,3,8,4]=>0000111=>7
[5,4,1,2,6,8,3,7]=>0011001=>7
[5,4,1,2,8,7,3,6]=>0011011=>7
[8,4,1,2,6,7,3,5]=>0010011=>7
[5,8,1,2,6,7,3,4]=>0000011=>7
[5,4,1,2,6,7,8,3]=>0011001=>7
[4,3,1,8,2,5,6,7]=>0110001=>7
[4,3,1,7,2,5,8,6]=>0110011=>7
[4,3,1,6,2,8,5,7]=>0110101=>7
[4,3,1,8,2,7,5,6]=>0110011=>7
[4,3,1,6,2,7,8,5]=>0110101=>7
[8,3,1,5,2,4,6,7]=>0101001=>7
[7,3,1,5,2,4,8,6]=>0101011=>7
[8,3,1,6,2,4,5,7]=>0100101=>7
[7,3,1,8,2,4,5,6]=>0100011=>7
[7,3,1,6,2,4,8,5]=>0100111=>7
[6,3,1,5,2,8,4,7]=>0101101=>7
[8,3,1,5,2,7,4,6]=>0101011=>7
[8,3,1,6,2,7,4,5]=>0100111=>7
[6,3,1,5,2,7,8,4]=>0101101=>7
[8,4,1,5,2,3,6,7]=>0011001=>7
[7,4,1,5,2,3,8,6]=>0011011=>7
[8,4,1,6,2,3,5,7]=>0010101=>7
[7,4,1,8,2,3,5,6]=>0010011=>7
[7,4,1,6,2,3,8,5]=>0010111=>7
[6,8,1,5,2,3,4,7]=>0001001=>7
[8,7,1,5,2,3,4,6]=>0001011=>7
[8,7,1,6,2,3,4,5]=>0000111=>7
[6,7,1,5,2,3,8,4]=>0001011=>7
[6,4,1,5,2,8,3,7]=>0011101=>7
[8,4,1,5,2,7,3,6]=>0011011=>7
[8,4,1,6,2,7,3,5]=>0010111=>7
[6,8,1,5,2,7,3,4]=>0001011=>7
[6,4,1,5,2,7,8,3]=>0011101=>7
[4,3,1,5,8,2,6,7]=>0110001=>7
[4,3,1,5,7,2,8,6]=>0110011=>7
[4,3,1,8,6,2,5,7]=>0110101=>7
[4,3,1,8,7,2,5,6]=>0110011=>7
[4,3,1,7,6,2,8,5]=>0110111=>7
[8,3,1,5,6,2,4,7]=>0100101=>7
[8,3,1,5,7,2,4,6]=>0100011=>7
[8,3,1,7,6,2,4,5]=>0100111=>7
[7,3,1,5,6,2,8,4]=>0100111=>7
[8,4,1,5,6,2,3,7]=>0010101=>7
[8,4,1,5,7,2,3,6]=>0010011=>7
[8,4,1,7,6,2,3,5]=>0010111=>7
[7,8,1,5,6,2,3,4]=>0000101=>7
[7,4,1,5,6,2,8,3]=>0010111=>7
[4,3,1,5,6,8,2,7]=>0110001=>7
[4,3,1,5,8,7,2,6]=>0110011=>7
[4,3,1,8,6,7,2,5]=>0110011=>7
[8,3,1,5,6,7,2,4]=>0100011=>7
[8,4,1,5,6,7,2,3]=>0010011=>7
[4,3,1,5,6,7,8,2]=>0110001=>7
[2,3,8,1,4,7,5,6]=>0000011=>7
[2,3,8,1,6,4,5,7]=>0000101=>7
[2,3,8,1,7,4,5,6]=>0000011=>7
[2,3,7,1,6,4,8,5]=>0000111=>7
[2,3,5,1,8,7,4,6]=>0001011=>7
[2,3,8,1,6,7,4,5]=>0000011=>7
[2,8,4,1,3,5,6,7]=>0010001=>7
[2,7,4,1,3,5,8,6]=>0010011=>7
[2,6,4,1,3,8,5,7]=>0010101=>7
[2,8,4,1,3,7,5,6]=>0010011=>7
[2,6,4,1,3,7,8,5]=>0010101=>7
[2,8,5,1,3,4,6,7]=>0001001=>7
[2,7,5,1,3,4,8,6]=>0001011=>7
[2,8,7,1,3,4,5,6]=>0000011=>7
[2,6,5,1,3,8,4,7]=>0001101=>7
[2,8,5,1,3,7,4,6]=>0001011=>7
[2,6,8,1,3,7,4,5]=>0000011=>7
[2,6,5,1,3,7,8,4]=>0001101=>7
[2,5,4,1,8,3,6,7]=>0011001=>7
[2,5,4,1,7,3,8,6]=>0011011=>7
[2,8,4,1,6,3,5,7]=>0010101=>7
[2,8,4,1,7,3,5,6]=>0010011=>7
[2,7,4,1,6,3,8,5]=>0010111=>7
[2,8,5,1,6,3,4,7]=>0001101=>7
[2,8,5,1,7,3,4,6]=>0001011=>7
[2,7,8,1,6,3,4,5]=>0000101=>7
[2,7,5,1,6,3,8,4]=>0001111=>7
[2,5,4,1,6,8,3,7]=>0011001=>7
[2,5,4,1,8,7,3,6]=>0011011=>7
[2,8,4,1,6,7,3,5]=>0010011=>7
[2,8,5,1,6,7,3,4]=>0001011=>7
[2,5,4,1,6,7,8,3]=>0011001=>7
[7,3,4,1,2,5,8,6]=>0010011=>7
[6,3,4,1,2,8,5,7]=>0010101=>7
[8,3,4,1,2,7,5,6]=>0010011=>7
[6,3,4,1,2,7,8,5]=>0010101=>7
[7,3,5,1,2,4,8,6]=>0001011=>7
[6,3,7,1,2,4,8,5]=>0000111=>7
[6,3,5,1,2,8,4,7]=>0001101=>7
[8,3,5,1,2,7,4,6]=>0001011=>7
[6,3,8,1,2,7,4,5]=>0000111=>7
[6,3,5,1,2,7,8,4]=>0001101=>7
[7,5,4,1,2,3,8,6]=>0011011=>7
[6,8,4,1,2,3,5,7]=>0010001=>7
[6,7,4,1,2,3,8,5]=>0010011=>7
[6,8,5,1,2,3,4,7]=>0001001=>7
[6,7,5,1,2,3,8,4]=>0001011=>7
[6,5,4,1,2,8,3,7]=>0011101=>7
[8,5,4,1,2,7,3,6]=>0011011=>7
[6,8,4,1,2,7,3,5]=>0010011=>7
[6,8,5,1,2,7,3,4]=>0001011=>7
[6,5,4,1,2,7,8,3]=>0011101=>7
[5,3,4,1,8,2,6,7]=>0011001=>7
[5,3,4,1,7,2,8,6]=>0011011=>7
[8,3,4,1,6,2,5,7]=>0010101=>7
[8,3,4,1,7,2,5,6]=>0010011=>7
[7,3,4,1,6,2,8,5]=>0010111=>7
[8,3,5,1,6,2,4,7]=>0001101=>7
[8,3,5,1,7,2,4,6]=>0001011=>7
[7,3,8,1,6,2,4,5]=>0000111=>7
[7,3,5,1,6,2,8,4]=>0001111=>7
[8,5,4,1,6,2,3,7]=>0011101=>7
[8,5,4,1,7,2,3,6]=>0011011=>7
[7,8,4,1,6,2,3,5]=>0010101=>7
[7,8,5,1,6,2,3,4]=>0001101=>7
[7,5,4,1,6,2,8,3]=>0011111=>7
[5,3,4,1,6,8,2,7]=>0011001=>7
[5,3,4,1,8,7,2,6]=>0011011=>7
[8,3,4,1,6,7,2,5]=>0010011=>7
[8,3,5,1,6,7,2,4]=>0001011=>7
[8,5,4,1,6,7,2,3]=>0011011=>7
[5,3,4,1,6,7,8,2]=>0011001=>7
[2,3,4,8,1,7,5,6]=>0000011=>7
[2,3,8,5,1,4,6,7]=>0001001=>7
[2,3,7,5,1,4,8,6]=>0001011=>7
[2,3,8,6,1,4,5,7]=>0000101=>7
[2,3,7,6,1,4,8,5]=>0000111=>7
[2,3,6,5,1,8,4,7]=>0001101=>7
[2,3,8,5,1,7,4,6]=>0001011=>7
[2,3,8,6,1,7,4,5]=>0000111=>7
[2,3,6,5,1,7,8,4]=>0001101=>7
[2,8,4,5,1,3,6,7]=>0001001=>7
[2,7,4,5,1,3,8,6]=>0001011=>7
[2,8,4,6,1,3,5,7]=>0000101=>7
[2,7,4,8,1,3,5,6]=>0000011=>7
[2,7,4,6,1,3,8,5]=>0000111=>7
[2,8,6,5,1,3,4,7]=>0001101=>7
[2,7,8,5,1,3,4,6]=>0001001=>7
[2,7,8,6,1,3,4,5]=>0000101=>7
[2,7,6,5,1,3,8,4]=>0001111=>7
[2,6,4,5,1,8,3,7]=>0001101=>7
[2,8,4,5,1,7,3,6]=>0001011=>7
[2,8,4,6,1,7,3,5]=>0000111=>7
[2,8,6,5,1,7,3,4]=>0001111=>7
[2,6,4,5,1,7,8,3]=>0001101=>7
[7,3,4,5,1,2,8,6]=>0001011=>7
[7,3,4,6,1,2,8,5]=>0000111=>7
[8,3,6,5,1,2,4,7]=>0001101=>7
[7,3,8,5,1,2,4,6]=>0001011=>7
[7,3,8,6,1,2,4,5]=>0000111=>7
[7,3,6,5,1,2,8,4]=>0001111=>7
[7,6,4,5,1,2,8,3]=>0001111=>7
[6,3,4,5,1,8,2,7]=>0001101=>7
[8,3,4,5,1,7,2,6]=>0001011=>7
[8,3,4,6,1,7,2,5]=>0000111=>7
[8,3,6,5,1,7,2,4]=>0001111=>7
[8,6,4,5,1,7,2,3]=>0001111=>7
[6,3,4,5,1,7,8,2]=>0001101=>7
[2,3,4,8,6,1,5,7]=>0000101=>7
[2,3,4,8,7,1,5,6]=>0000011=>7
[2,3,4,7,6,1,8,5]=>0000111=>7
[2,3,8,5,6,1,4,7]=>0000101=>7
[2,3,8,5,7,1,4,6]=>0000011=>7
[2,3,8,7,6,1,4,5]=>0000111=>7
[2,3,7,5,6,1,8,4]=>0000111=>7
[2,8,4,5,6,1,3,7]=>0000101=>7
[2,8,4,5,7,1,3,6]=>0000011=>7
[2,8,4,7,6,1,3,5]=>0000111=>7
[2,8,7,5,6,1,3,4]=>0000111=>7
[2,7,4,5,6,1,8,3]=>0000111=>7
[8,3,4,5,7,1,2,6]=>0000011=>7
[8,3,4,7,6,1,2,5]=>0000111=>7
[8,3,7,5,6,1,2,4]=>0000111=>7
[7,3,4,5,6,1,8,2]=>0000111=>7
[2,3,4,5,8,7,1,6]=>0000011=>7
[2,3,4,8,6,7,1,5]=>0000011=>7
[2,3,8,5,6,7,1,4]=>0000011=>7
[2,8,4,5,6,7,1,3]=>0000011=>7
[9,1,2,3,4,5,6,7,8]=>00000001=>8
[8,1,2,3,4,5,6,9,7]=>00000011=>8
[7,1,2,3,4,5,9,6,8]=>00000101=>8
[9,1,2,3,4,5,8,6,7]=>00000011=>8
[7,1,2,3,4,5,8,9,6]=>00000101=>8
[6,1,2,3,4,9,5,7,8]=>00001001=>8
[6,1,2,3,4,8,5,9,7]=>00001011=>8
[9,1,2,3,4,7,5,6,8]=>00000101=>8
[9,1,2,3,4,8,5,6,7]=>00000011=>8
[8,1,2,3,4,7,5,9,6]=>00000111=>8
[6,1,2,3,4,7,9,5,8]=>00001001=>8
[6,1,2,3,4,9,8,5,7]=>00001011=>8
[9,1,2,3,4,7,8,5,6]=>00000011=>8
[6,1,2,3,4,7,8,9,5]=>00001001=>8
[5,1,2,3,9,4,6,7,8]=>00010001=>4
[5,1,2,3,8,4,6,9,7]=>00010011=>8
[9,1,2,3,6,4,5,7,8]=>00001001=>8
[8,1,2,3,9,4,5,6,7]=>00000011=>8
[5,1,2,3,9,8,4,6,7]=>00010011=>8
[9,1,2,3,6,8,4,5,7]=>00000011=>8
[5,1,2,3,6,9,8,4,7]=>00010011=>8
[5,1,2,3,6,7,8,9,4]=>00010001=>4
[4,1,2,8,3,5,6,9,7]=>00100011=>8
[4,1,2,9,3,5,8,6,7]=>00100011=>8
[4,1,2,9,3,8,5,6,7]=>00100011=>8
[9,1,2,5,3,4,6,7,8]=>00010001=>4
[9,1,2,8,3,4,5,6,7]=>00000011=>8
[7,1,2,8,3,4,5,9,6]=>00000111=>8
[4,1,2,5,9,3,6,7,8]=>00100001=>8
[4,1,2,8,9,3,5,6,7]=>00100001=>8
[8,1,2,5,9,3,4,6,7]=>00000011=>8
[8,1,2,9,6,3,4,5,7]=>00001011=>8
[4,1,2,5,9,8,3,6,7]=>00100011=>8
[9,1,2,8,6,7,3,4,5]=>00000111=>8
[4,1,2,5,6,7,9,3,8]=>00100001=>8
[4,1,2,9,6,7,8,3,5]=>00100011=>8
[9,1,2,5,6,7,8,3,4]=>00000011=>8
[4,1,2,5,6,7,8,9,3]=>00100001=>8
[3,1,9,2,4,5,6,7,8]=>01000001=>8
[3,1,8,2,4,5,6,9,7]=>01000011=>8
[3,1,9,2,4,5,8,6,7]=>01000011=>8
[3,1,5,2,7,4,9,6,8]=>01010101=>2
[8,1,4,2,3,5,6,9,7]=>00100011=>8
[9,1,4,2,3,5,8,6,7]=>00100011=>8
[6,1,4,2,3,7,8,9,5]=>00101001=>8
[9,1,8,2,3,4,5,6,7]=>00000011=>8
[8,1,7,2,3,4,5,9,6]=>00000111=>8
[3,1,4,9,2,5,6,7,8]=>01000001=>8
[3,1,4,9,2,5,8,6,7]=>01000011=>8
[3,1,9,8,2,4,5,6,7]=>01000011=>8
[9,1,4,5,2,3,6,7,8]=>00010001=>4
[7,1,4,5,2,3,8,9,6]=>00010101=>8
[7,1,4,9,2,3,5,6,8]=>00000101=>8
[9,1,4,8,2,3,5,6,7]=>00000011=>8
[9,1,6,5,2,3,4,7,8]=>00011001=>8
[7,1,9,6,2,3,4,5,8]=>00001101=>8
[9,1,8,6,2,3,4,5,7]=>00001011=>8
[7,1,8,9,2,3,4,5,6]=>00000101=>8
[3,1,4,8,9,2,5,6,7]=>01000001=>8
[3,1,8,9,7,2,4,5,6]=>01000101=>8
[8,1,4,5,6,2,3,9,7]=>00001011=>8
[8,1,4,9,7,2,3,5,6]=>00000111=>8
[8,1,9,5,6,2,3,4,7]=>00001011=>8
[8,1,9,7,6,2,3,4,5]=>00001111=>8
[7,1,4,5,6,2,8,9,3]=>00001101=>8
[3,1,4,5,6,9,2,7,8]=>01000001=>8
[3,1,4,5,6,8,2,9,7]=>01000011=>8
[3,1,4,9,8,7,2,5,6]=>01000111=>8
[3,1,9,8,6,7,2,4,5]=>01000111=>8
[9,1,4,5,6,7,2,3,8]=>00000101=>8
[9,1,4,8,6,7,2,3,5]=>00000111=>8
[9,1,8,5,6,7,2,3,4]=>00000111=>8
[8,1,4,5,6,7,2,9,3]=>00000111=>8
[3,1,4,5,6,7,9,2,8]=>01000001=>8
[3,1,4,9,6,7,8,2,5]=>01000011=>8
[3,1,9,5,6,7,8,2,4]=>01000011=>8
[9,1,4,5,6,7,8,2,3]=>00000011=>8
[3,1,4,5,6,7,8,9,2]=>01000001=>8
[2,9,1,3,4,5,6,7,8]=>00000001=>8
[2,8,1,3,4,5,6,9,7]=>00000011=>8
[2,7,1,3,4,5,9,6,8]=>00000101=>8
[2,9,1,3,4,5,8,6,7]=>00000011=>8
[2,7,1,3,4,5,8,9,6]=>00000101=>8
[2,6,1,3,4,9,5,7,8]=>00001001=>8
[2,9,1,3,4,8,5,6,7]=>00000011=>8
[2,8,1,3,9,4,5,6,7]=>00000011=>8
[2,9,1,3,8,7,4,5,6]=>00000111=>8
[2,9,1,3,6,7,8,4,5]=>00000011=>8
[2,5,1,3,6,7,8,9,4]=>00010001=>4
[2,4,1,6,3,8,5,9,7]=>00101011=>8
[2,9,1,8,3,4,5,6,7]=>00000011=>8
[2,7,1,6,3,4,8,9,5]=>00001101=>8
[2,6,1,5,3,7,8,9,4]=>00011001=>8
[2,4,1,5,9,3,6,7,8]=>00100001=>8
[2,4,1,8,9,3,5,6,7]=>00100001=>8
[2,8,1,9,7,3,4,5,6]=>00000111=>8
[2,9,1,8,6,7,3,4,5]=>00000111=>8
[2,4,1,5,6,7,9,3,8]=>00100001=>8
[2,4,1,5,6,9,8,3,7]=>00100011=>8
[2,9,1,5,6,7,8,3,4]=>00000011=>8
[2,4,1,5,6,7,8,9,3]=>00100001=>8
[9,3,1,2,4,5,6,7,8]=>01000001=>8
[8,3,1,2,4,5,6,9,7]=>01000011=>8
[9,3,1,2,4,5,8,6,7]=>01000011=>8
[6,3,1,2,4,7,8,9,5]=>01001001=>8
[9,3,1,2,6,7,8,4,5]=>01000011=>8
[5,3,1,2,6,7,8,9,4]=>01010001=>8
[9,4,1,2,3,5,6,7,8]=>00100001=>8
[7,4,1,2,3,5,8,9,6]=>00100101=>8
[6,4,1,2,3,7,8,9,5]=>00101001=>8
[5,9,1,2,3,4,6,7,8]=>00000001=>8
[5,8,1,2,3,4,6,9,7]=>00000011=>8
[5,7,1,2,3,4,8,9,6]=>00000101=>8
[9,6,1,2,3,4,5,7,8]=>00001001=>8
[8,6,1,2,3,4,5,9,7]=>00001011=>8
[9,7,1,2,3,4,5,6,8]=>00000101=>8
[8,9,1,2,3,4,5,6,7]=>00000001=>8
[8,7,1,2,3,4,5,9,6]=>00000111=>8
[7,6,1,2,3,4,9,5,8]=>00001101=>8
[9,6,1,2,3,4,8,5,7]=>00001011=>8
[9,7,1,2,3,4,8,5,6]=>00000111=>8
[7,6,1,2,3,4,8,9,5]=>00001101=>8
[5,6,1,2,3,9,4,7,8]=>00001001=>8
[5,9,1,2,3,8,4,6,7]=>00000011=>8
[9,6,1,2,3,7,4,5,8]=>00001101=>8
[9,8,1,2,3,7,4,5,6]=>00000111=>8
[8,6,1,2,3,7,4,9,5]=>00001111=>8
[5,6,1,2,3,7,9,4,8]=>00001001=>8
[9,6,1,2,3,7,8,4,5]=>00001011=>8
[5,6,1,2,3,7,8,9,4]=>00001001=>8
[5,4,1,2,9,3,6,7,8]=>00110001=>8
[8,4,1,2,9,3,5,6,7]=>00100011=>8
[5,9,1,2,6,3,4,7,8]=>00001001=>8
[5,8,1,2,9,3,4,6,7]=>00000011=>8
[9,7,1,2,6,3,8,4,5]=>00001111=>8
[5,4,1,2,6,9,3,7,8]=>00110001=>8
[9,8,1,2,6,7,3,4,5]=>00000111=>8
[5,4,1,2,6,7,9,3,8]=>00110001=>8
[5,4,1,2,6,7,8,9,3]=>00110001=>8
[4,3,1,9,2,5,6,7,8]=>01100001=>8
[9,3,1,8,2,4,5,6,7]=>01000011=>8
[9,4,1,5,2,3,6,7,8]=>00110001=>8
[9,4,1,8,2,3,5,6,7]=>00100011=>8
[6,9,1,5,2,3,4,7,8]=>00010001=>4
[9,7,1,6,2,3,4,5,8]=>00001101=>8
[8,7,1,9,2,3,4,5,6]=>00000111=>8
[8,7,1,6,2,3,4,9,5]=>00001111=>8
[9,4,1,6,2,8,3,5,7]=>00101011=>8
[9,8,1,6,2,7,3,4,5]=>00001111=>8
[4,3,1,5,9,2,6,7,8]=>01100001=>8
[9,8,1,7,6,2,3,4,5]=>00001111=>8
[4,3,1,5,6,8,2,9,7]=>01100011=>8
[4,3,1,5,9,8,2,6,7]=>01100011=>8
[4,3,1,5,8,7,2,9,6]=>01100111=>8
[8,9,1,5,6,7,2,3,4]=>00000101=>8
[4,3,1,5,6,7,9,2,8]=>01100001=>8
[4,3,1,5,6,9,8,2,7]=>01100011=>8
[9,3,1,5,6,7,8,2,4]=>01000011=>8
[9,4,1,5,6,7,8,2,3]=>00100011=>8
[4,3,1,5,6,7,8,9,2]=>01100001=>8
[2,3,9,1,4,5,6,7,8]=>00000001=>8
[2,3,8,1,4,5,6,9,7]=>00000011=>8
[2,3,9,1,4,5,8,6,7]=>00000011=>8
[2,3,9,1,4,7,8,5,6]=>00000011=>8
[2,3,9,1,8,7,4,5,6]=>00000111=>8
[2,3,8,1,6,7,4,9,5]=>00000111=>8
[2,3,5,1,6,7,9,4,8]=>00010001=>4
[2,3,9,1,6,7,8,4,5]=>00000011=>8
[2,3,5,1,6,7,8,9,4]=>00010001=>4
[2,9,4,1,3,5,6,7,8]=>00100001=>8
[2,6,4,1,3,7,8,9,5]=>00101001=>8
[2,9,5,1,3,4,6,7,8]=>00010001=>4
[2,6,9,1,3,4,5,7,8]=>00000001=>8
[2,9,7,1,3,4,5,6,8]=>00000101=>8
[2,9,8,1,3,4,5,6,7]=>00000011=>8
[2,6,7,1,3,4,8,9,5]=>00000101=>8
[2,9,4,1,6,3,5,7,8]=>00101001=>8
[2,8,4,1,9,3,5,6,7]=>00100011=>8
[2,9,4,1,6,3,8,5,7]=>00101011=>8
[2,9,8,1,7,3,4,5,6]=>00000111=>8
[2,9,5,1,6,7,8,3,4]=>00010011=>8
[9,3,4,1,2,5,6,7,8]=>00100001=>8
[6,3,4,1,2,7,8,9,5]=>00101001=>8
[9,3,7,1,2,4,5,6,8]=>00000101=>8
[9,3,8,1,2,4,5,6,7]=>00000011=>8
[9,5,4,1,2,3,6,7,8]=>00110001=>8
[8,5,4,1,2,3,6,9,7]=>00110011=>4
[6,9,4,1,2,3,5,7,8]=>00100001=>8
[6,8,4,1,2,3,5,9,7]=>00100011=>8
[9,7,4,1,2,3,5,6,8]=>00100101=>8
[9,8,4,1,2,3,5,6,7]=>00100011=>8
[6,9,5,1,2,3,4,7,8]=>00010001=>4
[6,8,5,1,2,3,4,9,7]=>00010011=>8
[8,7,5,1,2,3,4,9,6]=>00010111=>8
[6,7,9,1,2,3,4,5,8]=>00000001=>8
[6,9,8,1,2,3,4,5,7]=>00000011=>8
[9,7,8,1,2,3,4,5,6]=>00000011=>8
[6,7,8,1,2,3,4,9,5]=>00000011=>8
[6,5,4,1,2,8,3,9,7]=>00111011=>8
[9,8,5,1,7,2,3,4,6]=>00010111=>8
[7,8,9,1,6,2,3,4,5]=>00001001=>8
[7,8,5,1,6,2,3,9,4]=>00011011=>8
[5,3,4,1,6,8,2,9,7]=>00110011=>4
[9,3,4,1,8,7,2,5,6]=>00100111=>8
[8,3,4,1,6,7,2,9,5]=>00100111=>8
[9,5,4,1,8,7,2,3,6]=>00110111=>8
[8,5,4,1,6,7,2,9,3]=>00110111=>8
[5,3,4,1,9,7,8,2,6]=>00110011=>4
[9,3,5,1,6,7,8,2,4]=>00010011=>8
[9,5,4,1,6,7,8,2,3]=>00110011=>4
[5,3,4,1,6,7,8,9,2]=>00110001=>8
[2,3,4,9,1,5,6,7,8]=>00000001=>8
[2,3,4,9,1,5,8,6,7]=>00000011=>8
[2,3,4,9,1,7,8,5,6]=>00000011=>8
[2,3,4,6,1,7,8,9,5]=>00001001=>8
[2,3,9,5,1,4,6,7,8]=>00010001=>4
[2,3,9,6,1,4,5,7,8]=>00001001=>8
[2,3,7,9,1,4,5,6,8]=>00000001=>8
[2,3,9,8,1,4,5,6,7]=>00000011=>8
[2,3,9,5,1,7,4,6,8]=>00010101=>8
[2,3,9,6,1,7,8,4,5]=>00001011=>8
[2,9,4,5,1,3,6,7,8]=>00010001=>4
[2,7,4,5,1,3,8,9,6]=>00010101=>8
[2,9,8,6,1,3,4,5,7]=>00001011=>8
[2,7,8,9,1,3,4,5,6]=>00000001=>8
[2,8,9,6,1,7,3,4,5]=>00001101=>8
[2,9,6,5,1,7,8,3,4]=>00011011=>8
[7,3,4,5,1,2,8,9,6]=>00010101=>8
[9,3,4,8,1,2,5,6,7]=>00000011=>8
[7,3,4,8,1,2,5,9,6]=>00000111=>8
[7,3,8,9,1,2,4,5,6]=>00000101=>8
[9,8,4,5,1,2,3,6,7]=>00010011=>8
[7,8,4,6,1,2,3,9,5]=>00001011=>8
[9,8,6,5,1,2,3,4,7]=>00011011=>8
[7,8,9,6,1,2,3,4,5]=>00001001=>8
[7,8,6,5,1,2,3,9,4]=>00011011=>8
[8,3,9,6,1,7,2,4,5]=>00001111=>8
[8,3,6,5,1,7,2,9,4]=>00011111=>8
[8,6,4,5,1,7,2,9,3]=>00011111=>8
[6,3,4,5,1,7,9,2,8]=>00011001=>8
[6,3,4,5,1,9,8,2,7]=>00011011=>8
[9,3,4,6,1,7,8,2,5]=>00001011=>8
[6,3,4,5,1,7,8,9,2]=>00011001=>8
[2,3,4,5,9,1,6,7,8]=>00000001=>8
[2,3,4,5,8,1,6,9,7]=>00000011=>8
[2,3,4,5,9,1,8,6,7]=>00000011=>8
[2,3,4,5,7,1,8,9,6]=>00000101=>8
[2,3,4,9,6,1,5,7,8]=>00001001=>8
[2,3,4,9,7,1,5,6,8]=>00000101=>8
[2,3,4,9,6,1,8,5,7]=>00001011=>8
[2,3,4,9,7,1,8,5,6]=>00000111=>8
[2,3,9,5,6,1,4,7,8]=>00001001=>8
[2,3,8,5,6,1,4,9,7]=>00001011=>8
[2,3,9,5,6,1,8,4,7]=>00001011=>8
[2,8,4,5,6,1,3,9,7]=>00001011=>8
[2,8,9,5,7,1,3,4,6]=>00000101=>8
[2,8,9,7,6,1,3,4,5]=>00001101=>8
[2,9,7,5,6,1,8,3,4]=>00001111=>8
[8,3,4,5,6,1,2,9,7]=>00001011=>8
[8,3,4,7,6,1,2,9,5]=>00001111=>8
[8,3,9,7,6,1,2,4,5]=>00001111=>8
[8,3,7,5,6,1,2,9,4]=>00001111=>8
[9,7,4,5,6,1,2,3,8]=>00001101=>8
[8,9,4,5,6,1,2,3,7]=>00001001=>8
[8,9,7,5,6,1,2,3,4]=>00001101=>8
[8,7,4,5,6,1,2,9,3]=>00001111=>8
[7,3,4,5,6,1,9,2,8]=>00001101=>8
[9,3,4,5,6,1,8,2,7]=>00001011=>8
[9,3,7,5,6,1,8,2,4]=>00001111=>8
[7,3,4,5,6,1,8,9,2]=>00001101=>8
[2,3,4,5,6,9,1,7,8]=>00000001=>8
[2,3,4,5,6,8,1,9,7]=>00000011=>8
[2,3,4,5,9,7,1,6,8]=>00000101=>8
[2,3,4,5,9,8,1,6,7]=>00000011=>8
[2,3,4,9,6,7,1,5,8]=>00000101=>8
[2,3,9,5,6,7,1,4,8]=>00000101=>8
[2,3,9,5,6,8,1,4,7]=>00000011=>8
[2,9,4,5,6,7,1,3,8]=>00000101=>8
[2,9,4,5,6,8,1,3,7]=>00000011=>8
[2,9,4,5,8,7,1,3,6]=>00000111=>8
[2,9,4,8,6,7,1,3,5]=>00000111=>8
[2,9,8,5,6,7,1,3,4]=>00000111=>8
[2,8,4,5,6,7,1,9,3]=>00000111=>8
[9,3,4,5,6,7,1,2,8]=>00000101=>8
[9,3,4,5,6,8,1,2,7]=>00000011=>8
[9,8,4,5,6,7,1,2,3]=>00000111=>8
[8,3,4,5,6,7,1,9,2]=>00000111=>8
[2,3,4,5,6,7,9,1,8]=>00000001=>8
[2,3,4,5,6,9,8,1,7]=>00000011=>8
[2,3,4,5,9,7,8,1,6]=>00000011=>8
[2,3,4,9,6,7,8,1,5]=>00000011=>8
[2,3,9,5,6,7,8,1,4]=>00000011=>8
[2,9,4,5,6,7,8,1,3]=>00000011=>8
[9,3,4,5,6,7,8,1,2]=>00000011=>8
[2,3,4,5,6,7,8,9,1]=>00000001=>8
[3,5,2,6,1,4,8,7]=>0001101=>7
[3,5,2,6,4,1,8,7]=>0011101=>7
[3,5,2,7,4,8,1,6]=>0001011=>7
[3,5,2,7,4,8,6,1]=>0001111=>7
[4,5,7,2,3,8,6,1]=>0000111=>7
[4,5,7,2,3,8,1,6]=>0000011=>7
[4,5,6,2,3,1,8,7]=>0100101=>7
[4,5,6,2,1,3,8,7]=>1000101=>7
[3,5,1,6,4,2,8,7]=>0011101=>7
[4,5,6,1,3,2,8,7]=>0100101=>7
[4,5,6,3,1,2,8,7]=>0100101=>7
[4,5,7,3,2,8,1,6]=>0100011=>7
[4,5,7,3,2,8,6,1]=>0100111=>7
[4,6,7,3,8,2,5,1]=>0001011=>7
[4,6,7,3,8,2,1,5]=>1000011=>7
[4,6,7,3,8,1,2,5]=>0000011=>7
[4,5,7,3,1,8,2,6]=>0100011=>7
[4,5,7,1,3,8,2,6]=>0000011=>7
[3,5,1,7,4,8,2,6]=>0001011=>7
[2,1,5,7,4,8,3,6]=>1000011=>7
[2,1,5,7,4,8,6,3]=>1000111=>7
[3,5,1,7,4,8,6,2]=>0001111=>7
[4,5,7,1,3,8,6,2]=>0000111=>7
[4,5,7,3,1,8,6,2]=>0100111=>7
[4,6,7,3,8,1,5,2]=>0001011=>7
[4,6,7,3,8,5,1,2]=>0001011=>7
[4,6,7,3,8,5,2,1]=>1001011=>7
[5,6,7,8,3,1,4,2]=>0110001=>7
[5,6,7,8,1,3,4,2]=>0010001=>7
[4,6,7,1,8,3,5,2]=>0001011=>7
[3,6,1,7,8,4,5,2]=>0001101=>7
[2,1,6,7,8,4,5,3]=>1001001=>7
[2,1,6,7,8,4,3,5]=>1010001=>7
[3,6,1,7,8,4,2,5]=>0010101=>7
[4,6,7,1,8,3,2,5]=>0100011=>7
[5,6,7,8,1,3,2,4]=>0100001=>7
[4,5,7,2,1,8,3,6]=>1000011=>7
[4,6,7,2,8,1,3,5]=>0000011=>7
[4,6,7,2,8,3,1,5]=>0100011=>7
[4,6,7,2,8,3,5,1]=>0001011=>7
[3,6,2,7,8,4,5,1]=>0001101=>7
[3,6,2,7,8,4,1,5]=>0010101=>7
[3,6,2,7,8,1,4,5]=>0000101=>7
[3,5,2,7,1,8,4,6]=>0001011=>7
[3,4,2,1,7,8,5,6]=>1010001=>7
[3,4,1,2,7,8,6,5]=>0010101=>7
[3,5,2,7,1,8,6,4]=>0001111=>7
[3,6,2,7,8,1,5,4]=>0001101=>7
[3,6,2,7,8,5,1,4]=>0001101=>7
[3,6,2,7,8,5,4,1]=>0011101=>7
[4,6,7,2,8,5,3,1]=>0101011=>7
[4,6,7,2,8,5,1,3]=>0001011=>7
[4,6,7,2,8,1,5,3]=>0001011=>7
[4,5,7,2,1,8,6,3]=>1000111=>7
[4,5,7,1,2,8,6,3]=>0000111=>7
[3,5,1,7,2,8,6,4]=>0001111=>7
[2,1,5,7,3,8,6,4]=>1000111=>7
[2,1,6,7,8,3,5,4]=>1001001=>7
[3,6,1,7,8,2,5,4]=>0001101=>7
[4,6,7,1,8,2,5,3]=>0001011=>7
[5,6,7,8,1,2,4,3]=>0010001=>7
[5,6,7,8,2,1,4,3]=>1010001=>7
[5,6,7,8,2,4,1,3]=>0010001=>7
[5,6,7,8,2,4,3,1]=>0110001=>7
[5,6,7,8,1,4,2,3]=>0010001=>7
[4,6,7,1,8,5,2,3]=>0001011=>7
[3,6,1,7,8,5,2,4]=>0001101=>7
[2,1,6,7,8,5,3,4]=>1001001=>7
[3,6,1,7,8,5,4,2]=>0011101=>7
[4,6,7,1,8,5,3,2]=>0101011=>7
[5,6,7,8,1,4,3,2]=>0110001=>7
[5,6,7,8,4,1,3,2]=>0110001=>7
[3,4,2,1,6,5,8,7,10,9]=>101010101=>9
[3,5,2,6,4,1,8,7,10,9]=>001110101=>9
[3,5,2,7,4,8,6,1,10,9]=>000111101=>9
[3,5,2,7,4,9,6,10,8,1]=>000101111=>9
[2,1,5,6,4,3,8,7,10,9]=>101010101=>9
[4,5,6,3,2,1,8,7,10,9]=>110010101=>9
[4,5,7,3,2,8,6,1,10,9]=>010011101=>9
[4,5,7,3,2,9,6,10,8,1]=>010001111=>9
[2,1,5,7,4,8,6,3,10,9]=>100011101=>9
[4,6,7,3,8,5,2,1,10,9]=>100101101=>9
[4,6,7,3,9,5,2,10,8,1]=>000101111=>9
[2,1,5,7,4,9,6,10,8,3]=>100001111=>9
[4,6,8,3,9,5,10,7,2,1]=>100001111=>9
[2,1,4,3,7,8,6,5,10,9]=>101010101=>9
[3,4,2,1,7,8,6,5,10,9]=>101010101=>9
[3,6,2,7,8,5,4,1,10,9]=>001110101=>9
[3,6,2,7,9,5,4,10,8,1]=>000110111=>9
[2,1,6,7,8,5,4,3,10,9]=>101100101=>9
[5,6,7,8,4,3,2,1,10,9]=>111000101=>9
[5,6,7,9,4,3,2,10,8,1]=>011000111=>9
[2,1,6,7,9,5,4,10,8,3]=>100100111=>9
[5,6,8,9,4,3,10,7,2,1]=>101001011=>9
[2,1,4,3,7,9,6,10,8,5]=>101000111=>9
[3,4,2,1,7,9,6,10,8,5]=>101000111=>9
[3,6,2,8,9,5,10,7,4,1]=>001011011=>9
[2,1,6,8,9,5,10,7,4,3]=>101001011=>9
[5,7,8,9,4,10,6,3,2,1]=>110010011=>9
[6,7,8,9,10,4,5,3,2,1]=>110100001=>9
[6,7,8,9,10,1,4,5,3,2]=>010100001=>9
[6,7,8,9,10,1,4,5,2,3]=>000100001=>9
[6,7,8,9,10,4,5,2,3,1]=>010100001=>9
[6,7,8,9,10,4,3,2,1,5]=>111000001=>9
[6,7,8,9,10,3,4,5,2,1]=>100100001=>9
[6,7,8,9,10,3,4,5,1,2]=>000100001=>9
[6,7,8,9,10,1,3,4,5,2]=>000100001=>9
[6,7,8,9,10,3,4,1,2,5]=>001000001=>9
[6,7,8,9,10,3,4,2,1,5]=>101000001=>9
[6,7,8,9,10,2,3,4,1,5]=>001000001=>9
[6,7,8,9,10,2,3,4,5,1]=>000100001=>9
[2,1,4,3,6,5,9,10,8,7]=>101010101=>9
[3,4,2,1,6,5,9,10,8,7]=>101010101=>9
[3,5,2,6,4,1,9,10,8,7]=>001110101=>9
[3,5,2,8,4,9,10,7,6,1]=>000111101=>9
[2,1,5,6,4,3,9,10,8,7]=>101010101=>9
[4,5,6,3,2,1,9,10,8,7]=>110010101=>9
[4,5,8,3,2,9,10,7,6,1]=>010011101=>9
[2,1,5,8,4,9,10,7,6,3]=>100011101=>9
[4,7,8,3,9,10,6,5,2,1]=>100110101=>9
[2,1,4,3,8,9,10,7,6,5]=>101011001=>9
[3,4,2,1,8,9,10,7,6,5]=>101011001=>9
[3,7,2,8,9,10,6,5,4,1]=>001111001=>9
[2,1,7,8,9,10,6,5,4,3]=>101110001=>9
[6,7,8,9,10,1,5,4,3,2]=>011100001=>9
[6,7,8,9,10,5,4,3,2,1]=>111100001=>9
[6,5,8,7,3,4,1,2]=>0010111=>7
[3,6,7,4,5,8,1,2]=>0000011=>7
[2,6,7,4,5,1,8,3]=>0001011=>7
[1,6,7,4,5,2,3,8]=>0001010=>7
[1,5,4,7,6,2,3,8]=>0001110=>7
[2,5,4,7,6,1,8,3]=>0001111=>7
[3,5,4,7,6,8,1,2]=>0001011=>7
[4,5,3,7,8,6,1,2]=>0001101=>7
[5,4,3,8,7,6,1,2]=>0011111=>7
[6,4,8,3,7,5,1,2]=>0001111=>7
[6,3,8,4,5,7,1,2]=>0000111=>7
[5,3,4,8,6,7,1,2]=>0001011=>7
[4,3,5,6,8,7,1,2]=>0010011=>7
[3,2,5,6,1,8,7,4]=>0100111=>7
[4,2,5,6,8,1,7,3]=>0010011=>7
[5,2,4,8,6,1,7,3]=>0001111=>7
[6,2,8,4,5,1,7,3]=>0001111=>7
[7,8,2,4,5,1,6,3]=>0001101=>7
[7,8,1,4,5,2,3,6]=>0001001=>7
[6,1,8,4,5,2,3,7]=>0001101=>7
[5,1,4,8,6,2,3,7]=>0001101=>7
[4,1,3,2,8,6,5,7]=>0110101=>7
[5,1,3,8,2,6,4,7]=>0001101=>7
[6,1,8,3,2,5,4,7]=>0101101=>7
[7,8,1,3,2,5,4,6]=>0101001=>7
[7,8,2,3,1,5,6,4]=>0100101=>7
[6,2,8,3,1,5,7,4]=>0100111=>7
[5,2,3,8,1,6,7,4]=>0001011=>7
[6,3,8,2,1,7,5,4]=>1001111=>7
[7,8,3,2,1,6,5,4]=>1101101=>7
[7,8,4,2,6,1,5,3]=>0011101=>7
[5,4,2,8,7,1,6,3]=>0011111=>7
[4,5,2,7,8,1,6,3]=>0001101=>7
[2,5,3,7,1,6,8,4]=>0001011=>7
[1,5,3,7,2,6,4,8]=>0001110=>7
[1,6,7,3,2,5,4,8]=>0101010=>7
[2,6,7,3,1,5,8,4]=>0100011=>7
[3,6,7,2,1,8,5,4]=>1001011=>7
[7,8,5,6,2,1,4,3]=>1010101=>7
[6,5,8,7,1,2,3,4]=>0000111=>7
[5,4,1,8,7,2,3,6]=>0011011=>7
[6,4,8,1,7,2,3,5]=>0000111=>7
[7,8,3,1,2,6,4,5]=>0100101=>7
[5,3,1,8,2,7,4,6]=>0101011=>7
[4,3,1,2,8,7,5,6]=>0110011=>7
[4,2,1,3,8,5,7,6]=>1010011=>7
[5,2,1,8,3,4,7,6]=>1001011=>7
[6,2,8,1,3,4,7,5]=>0000111=>7
[7,8,2,1,3,4,6,5]=>1000101=>7
[4,3,1,2,6,5,8,7]=>0110101=>7
[5,3,1,6,2,4,8,7]=>0101101=>7
[6,3,1,5,2,4,8,7]=>0101101=>7
[7,3,1,5,2,8,4,6]=>0101011=>7
[8,4,5,1,2,7,3,6]=>0001011=>7
[7,4,5,1,2,8,3,6]=>0001011=>7
[6,4,5,1,2,3,8,7]=>0001101=>7
[5,4,6,1,2,3,8,7]=>0001101=>7
[2,1,6,5,3,4,8,7]=>1001101=>7
[3,6,1,5,2,4,8,7]=>0001101=>7
[4,6,5,1,2,3,8,7]=>0001101=>7
[5,6,4,1,2,3,8,7]=>0010101=>7
[6,5,4,1,2,3,8,7]=>0011101=>7
[7,5,4,1,2,8,3,6]=>0011011=>7
[8,6,4,1,7,2,3,5]=>0010111=>7
[7,6,4,1,8,2,3,5]=>0010111=>7
[6,7,4,1,8,2,3,5]=>0010011=>7
[5,7,4,1,2,8,3,6]=>0010011=>7
[4,7,5,1,2,8,3,6]=>0001011=>7
[3,7,1,5,2,8,4,6]=>0001011=>7
[2,1,7,5,3,8,4,6]=>1001011=>7
[2,1,8,5,3,7,4,6]=>1001011=>7
[3,8,1,5,2,7,4,6]=>0001011=>7
[4,8,5,1,2,7,3,6]=>0001011=>7
[5,8,4,1,2,7,3,6]=>0010011=>7
[6,8,4,1,7,2,3,5]=>0010011=>7
[8,7,4,1,6,2,3,5]=>0010111=>7
[5,8,6,7,1,2,3,4]=>0000011=>7
[4,8,6,1,7,2,3,5]=>0000111=>7
[3,8,1,6,7,2,4,5]=>0000011=>7
[2,1,8,6,7,3,4,5]=>1000011=>7
[2,1,7,6,8,3,4,5]=>1000011=>7
[3,7,1,6,8,2,4,5]=>0000011=>7
[4,7,6,1,8,2,3,5]=>0000111=>7
[5,7,6,8,1,2,3,4]=>0000011=>7
[5,4,7,1,2,8,3,6]=>0001011=>7
[6,4,7,1,8,2,3,5]=>0000111=>7
[7,4,6,1,8,2,3,5]=>0000111=>7
[8,4,6,1,7,2,3,5]=>0000111=>7
[8,3,1,6,7,2,4,5]=>0100011=>7
[7,3,1,6,8,2,4,5]=>0100011=>7
[6,3,1,7,8,2,4,5]=>0100101=>7
[5,3,1,7,2,8,4,6]=>0101011=>7
[4,3,1,2,7,8,5,6]=>0110001=>7
[2,1,4,3,8,7,5,6]=>1010011=>7
[3,4,1,2,8,7,5,6]=>0010011=>7
[6,3,1,8,7,2,4,5]=>0100111=>7
[7,3,1,8,6,2,4,5]=>0100111=>7
[8,4,7,1,6,2,3,5]=>0000111=>7
[7,4,8,1,6,2,3,5]=>0000111=>7
[5,4,8,1,2,7,3,6]=>0001011=>7
[4,5,8,1,2,7,3,6]=>0000011=>7
[3,5,1,8,2,7,4,6]=>0001011=>7
[2,1,5,8,3,7,4,6]=>1000011=>7
[2,1,6,8,7,3,4,5]=>1000011=>7
[3,6,1,8,7,2,4,5]=>0000111=>7
[4,6,8,1,7,2,3,5]=>0000011=>7
[5,6,8,7,1,2,3,4]=>0000011=>7
[7,5,8,6,1,2,3,4]=>0000111=>7
[8,5,7,6,1,2,3,4]=>0000111=>7
[5,7,8,6,1,2,3,4]=>0000101=>7
[4,7,8,1,6,2,3,5]=>0000101=>7
[3,7,1,8,6,2,4,5]=>0000111=>7
[2,1,7,8,6,3,4,5]=>1000101=>7
[2,1,8,7,6,3,4,5]=>1000111=>7
[3,8,1,7,6,2,4,5]=>0000111=>7
[4,8,7,1,6,2,3,5]=>0000111=>7
[5,8,7,6,1,2,3,4]=>0000111=>7
[6,8,7,5,1,2,3,4]=>0001011=>7
[6,4,7,3,8,5,1,2]=>0001111=>7
[6,4,7,3,5,8,1,2]=>0000111=>7
[6,4,7,2,5,1,8,3]=>0001111=>7
[5,4,2,7,6,1,3,8]=>0011110=>7
[5,4,2,7,6,1,8,3]=>0011111=>7
[5,4,3,7,6,8,1,2]=>0011011=>7
[5,4,3,7,8,6,1,2]=>0011101=>7
[6,4,8,3,5,7,1,2]=>0000111=>7
[5,4,3,8,6,7,1,2]=>0011011=>7
[5,4,3,6,8,7,1,2]=>0011011=>7
[5,4,2,6,7,1,8,3]=>0011011=>7
[5,4,2,6,7,1,3,8]=>0011010=>7
[5,3,2,6,1,7,4,8]=>0101110=>7
[5,3,2,6,1,7,8,4]=>0101101=>7
[5,3,2,6,1,8,7,4]=>0101111=>7
[5,4,2,6,8,1,7,3]=>0011011=>7
[5,4,2,8,6,1,7,3]=>0011111=>7
[6,4,8,2,5,1,7,3]=>0001111=>7
[7,8,4,2,5,1,6,3]=>0011101=>7
[7,8,4,2,5,1,3,6]=>0011001=>7
[5,4,2,8,6,1,3,7]=>0011101=>7
[5,3,2,6,1,8,4,7]=>0101101=>7
[4,3,2,1,6,8,5,7]=>1110001=>7
[4,3,2,1,8,6,5,7]=>1110101=>7
[5,3,2,8,1,6,4,7]=>0101101=>7
[6,3,8,2,1,5,4,7]=>1001101=>7
[7,8,3,2,1,5,4,6]=>1101001=>7
[7,8,3,2,1,5,6,4]=>1100101=>7
[6,3,8,2,1,5,7,4]=>1000111=>7
[5,3,2,8,1,6,7,4]=>0101011=>7
[5,4,2,7,8,1,6,3]=>0011101=>7
[5,3,2,7,1,8,6,4]=>0101111=>7
[5,3,2,7,1,6,8,4]=>0101011=>7
[5,3,2,7,1,6,4,8]=>0101110=>7
[6,3,7,2,1,5,4,8]=>1001110=>7
[6,3,7,2,1,5,8,4]=>1000111=>7
[6,3,7,2,1,8,5,4]=>1001111=>7
[6,4,7,2,8,1,5,3]=>0001111=>7
[6,5,7,8,2,1,4,3]=>1010101=>7
[6,5,8,7,2,1,3,4]=>1000111=>7
[6,3,7,2,1,8,4,5]=>1000111=>7
[6,3,7,2,1,4,8,5]=>1000111=>7
[6,3,7,2,1,4,5,8]=>1000110=>7
[5,3,2,7,1,4,8,6]=>0101011=>7
[5,4,2,8,7,1,3,6]=>0011011=>7
[7,8,4,2,6,1,3,5]=>0010101=>7
[7,8,3,2,1,6,4,5]=>1100101=>7
[6,3,8,2,1,7,4,5]=>1000111=>7
[5,3,2,8,1,7,4,6]=>0101011=>7
[4,3,2,1,8,7,5,6]=>1110011=>7
[4,3,2,1,7,5,8,6]=>1110011=>7
[4,3,2,1,7,5,6,8]=>1110010=>7
[4,3,2,1,8,5,7,6]=>1110011=>7
[5,3,2,8,1,4,7,6]=>0101011=>7
[6,3,8,2,1,4,7,5]=>1000111=>7
[7,8,3,2,1,4,6,5]=>1100101=>7
[6,3,8,2,1,4,5,7]=>1000101=>7
[4,3,2,1,8,5,6,7]=>1110001=>7
[4,3,2,1,5,8,6,7]=>1110001=>7
[7,8,5,6,1,2,4,3]=>0010101=>7
[7,8,4,1,6,2,5,3]=>0011101=>7
[7,8,1,4,6,2,5,3]=>0001101=>7
[6,1,8,4,7,2,5,3]=>0001111=>7
[1,6,8,4,7,2,5,3]=>0001011=>7
[1,6,8,3,2,7,5,4]=>0101011=>7
[6,1,8,3,2,7,5,4]=>0101111=>7
[7,8,1,3,2,6,5,4]=>0101101=>7
[7,8,3,1,2,6,5,4]=>0101101=>7
[7,8,3,4,6,5,1,2]=>0001101=>7
[7,8,2,4,6,1,5,3]=>0001101=>7
[7,8,2,3,1,6,5,4]=>0101101=>7
[7,8,2,1,3,6,5,4]=>1001101=>7
[7,8,1,2,3,6,5,4]=>0001101=>7
[6,1,8,2,3,7,5,4]=>0001111=>7
[1,6,8,2,3,7,5,4]=>0001011=>7
[1,5,2,8,3,7,6,4]=>0001111=>7
[5,1,2,8,3,7,6,4]=>0001111=>7
[5,2,1,8,3,7,6,4]=>1001111=>7
[6,2,8,1,3,7,5,4]=>0001111=>7
[6,2,8,3,1,7,5,4]=>0101111=>7
[6,2,8,4,7,1,5,3]=>0001111=>7
[6,3,8,4,7,5,1,2]=>0001111=>7
[3,6,8,4,7,5,1,2]=>0001011=>7
[2,6,8,4,7,1,5,3]=>0001011=>7
[2,6,8,3,1,7,5,4]=>0101011=>7
[2,6,8,1,3,7,5,4]=>0001011=>7
[2,5,1,8,3,7,6,4]=>0001111=>7
[1,2,5,8,3,7,6,4]=>0000111=>7
[2,4,1,3,8,7,6,5]=>0010111=>7
[2,5,3,8,1,7,6,4]=>0001111=>7
[2,5,4,8,7,1,6,3]=>0001111=>7
[3,5,4,8,7,6,1,2]=>0001111=>7
[5,3,4,8,7,6,1,2]=>0001111=>7
[5,2,4,8,7,1,6,3]=>0001111=>7
[5,2,3,8,1,7,6,4]=>0001111=>7
[4,2,1,3,8,7,6,5]=>1010111=>7
[4,1,2,3,8,7,6,5]=>0010111=>7
[1,4,2,3,8,7,6,5]=>0010111=>7
[4,1,3,2,8,7,6,5]=>0110111=>7
[4,3,1,2,8,7,6,5]=>0110111=>7
[6,3,8,1,2,7,5,4]=>0001111=>7
[5,3,1,8,2,7,6,4]=>0101111=>7
[5,1,3,8,2,7,6,4]=>0001111=>7
[1,5,3,8,2,7,6,4]=>0001111=>7
[1,5,4,8,7,2,6,3]=>0001111=>7
[5,1,4,8,7,2,6,3]=>0001111=>7
[5,4,1,8,7,2,6,3]=>0011111=>7
[6,4,8,1,7,2,5,3]=>0001111=>7
[6,5,8,7,1,2,4,3]=>0010111=>7
[5,6,8,7,3,4,1,2]=>0010011=>7
[5,6,8,7,2,1,4,3]=>1010011=>7
[4,5,1,8,7,2,6,3]=>0001111=>7
[4,1,5,8,7,2,6,3]=>0010111=>7
[1,4,5,8,7,2,6,3]=>0000111=>7
[1,3,5,8,2,7,6,4]=>0000111=>7
[3,1,5,8,2,7,6,4]=>0100111=>7
[3,6,8,1,2,7,5,4]=>0001011=>7
[3,6,8,2,1,7,5,4]=>1001011=>7
[4,6,8,2,7,1,5,3]=>0001011=>7
[4,6,8,3,7,5,1,2]=>0001011=>7
[4,5,3,8,7,6,1,2]=>0001111=>7
[4,5,2,8,7,1,6,3]=>0001111=>7
[3,5,2,8,1,7,6,4]=>0001111=>7
[3,1,4,2,8,7,6,5]=>0110111=>7
[3,1,2,4,8,7,6,5]=>0100111=>7
[3,2,5,8,1,7,6,4]=>0100111=>7
[4,2,5,8,7,1,6,3]=>0010111=>7
[4,3,5,8,7,6,1,2]=>0010111=>7
[3,4,5,8,7,6,1,2]=>0000111=>7
[2,4,5,8,7,1,6,3]=>0000111=>7
[2,3,5,8,1,7,6,4]=>0000111=>7
[4,1,3,2,6,5,8,7]=>0110101=>7
[5,1,3,2,6,4,8,7]=>0101101=>7
[6,1,3,2,5,4,8,7]=>0101101=>7
[7,1,3,2,5,4,8,6]=>0101011=>7
[8,1,3,2,5,4,7,6]=>0101011=>7
[8,1,4,2,5,3,7,6]=>0011011=>7
[7,1,4,2,5,3,8,6]=>0011011=>7
[6,1,4,2,5,3,8,7]=>0011101=>7
[5,1,4,2,6,3,8,7]=>0011101=>7
[2,1,6,3,5,4,8,7]=>1001101=>7
[3,1,6,2,5,4,8,7]=>0101101=>7
[4,1,6,2,5,3,8,7]=>0011101=>7
[6,2,5,1,4,3,8,7]=>0011101=>7
[5,2,6,1,4,3,8,7]=>0011101=>7
[5,2,7,1,4,3,8,6]=>0011011=>7
[5,2,8,1,4,3,7,6]=>0011011=>7
[6,2,8,1,4,3,7,5]=>0010111=>7
[6,2,7,1,4,3,8,5]=>0010111=>7
[7,2,6,1,4,3,8,5]=>0010111=>7
[7,2,5,1,4,3,8,6]=>0011011=>7
[4,1,7,2,5,3,8,6]=>0011011=>7
[3,1,7,2,5,4,8,6]=>0101011=>7
[2,1,7,3,5,4,8,6]=>1001011=>7
[2,1,8,3,5,4,7,6]=>1001011=>7
[3,1,8,2,5,4,7,6]=>0101011=>7
[4,1,8,2,5,3,7,6]=>0011011=>7
[8,2,5,1,4,3,7,6]=>0011011=>7
[8,2,6,1,4,3,7,5]=>0010111=>7
[7,1,4,3,8,2,6,5]=>0010111=>7
[8,1,4,3,7,2,6,5]=>0010111=>7
[8,1,5,3,7,2,6,4]=>0001111=>7
[7,1,5,3,8,2,6,4]=>0001111=>7
[8,2,6,1,5,3,7,4]=>0001111=>7
[5,1,8,2,6,3,7,4]=>0001111=>7
[4,1,8,2,6,3,7,5]=>0010111=>7
[3,1,8,2,6,4,7,5]=>0100111=>7
[2,1,8,3,6,4,7,5]=>1000111=>7
[2,1,7,3,6,4,8,5]=>1000111=>7
[4,1,7,2,6,3,8,5]=>0010111=>7
[5,1,7,2,6,3,8,4]=>0001111=>7
[7,2,6,1,5,3,8,4]=>0001111=>7
[6,2,7,1,5,3,8,4]=>0001111=>7
[6,2,8,1,5,3,7,4]=>0001111=>7
[8,1,5,2,6,3,7,4]=>0001111=>7
[6,1,5,2,7,3,8,4]=>0001111=>7
[6,1,4,2,7,3,8,5]=>0010111=>7
[8,1,4,2,6,3,7,5]=>0010111=>7
[8,1,3,2,6,4,7,5]=>0100111=>7
[7,1,3,2,6,4,8,5]=>0100111=>7
[6,1,3,2,7,4,8,5]=>0100111=>7
[5,1,3,2,7,4,8,6]=>0101011=>7
[4,1,3,2,7,5,8,6]=>0110011=>7
[2,1,4,3,8,5,7,6]=>1010011=>7
[3,1,4,2,8,5,7,6]=>0110011=>7
[4,1,3,2,8,5,7,6]=>0110011=>7
[5,1,3,2,8,4,7,6]=>0101011=>7
[6,1,3,2,8,4,7,5]=>0100111=>7
[8,4,7,1,3,2,6,5]=>0100111=>7
[7,4,8,1,3,2,6,5]=>0100111=>7
[7,3,8,1,4,2,6,5]=>0010111=>7
[8,3,7,1,4,2,6,5]=>0010111=>7
[6,1,4,2,8,3,7,5]=>0010111=>7
[5,1,4,2,8,3,7,6]=>0011011=>7
[4,1,5,2,8,3,7,6]=>0011011=>7
[3,1,5,2,8,4,7,6]=>0101011=>7
[2,1,5,3,8,4,7,6]=>1001011=>7
[2,1,6,3,8,4,7,5]=>1000111=>7
[3,1,6,2,8,4,7,5]=>0100111=>7
[4,1,6,2,8,3,7,5]=>0010111=>7
[5,1,6,2,8,3,7,4]=>0001111=>7
[6,1,5,2,8,3,7,4]=>0001111=>7
[8,3,7,1,5,2,6,4]=>0001111=>7
[7,3,8,1,5,2,6,4]=>0001111=>7
[6,2,7,3,8,1,5,4]=>0001111=>7
[6,2,8,3,7,1,5,4]=>0001111=>7
[8,3,7,2,6,1,5,4]=>0001111=>7
[5,1,8,3,7,2,6,4]=>0001111=>7
[4,1,8,3,7,2,6,5]=>0010111=>7
[3,1,8,4,7,2,6,5]=>0100111=>7
[2,1,8,4,7,3,6,5]=>1000111=>7
[2,1,7,4,8,3,6,5]=>1000111=>7
[3,1,7,4,8,2,6,5]=>0100111=>7
[4,1,7,3,8,2,6,5]=>0010111=>7
[5,1,7,3,8,2,6,4]=>0001111=>7
[7,3,8,2,6,1,5,4]=>0001111=>7
[8,2,6,3,7,1,5,4]=>0001111=>7
[7,2,6,3,8,1,5,4]=>0001111=>7
[3,4,2,6,8,1,5,7]=>0010001=>7
[5,3,6,2,8,1,4,7]=>0001101=>7
[5,3,6,2,4,8,1,7]=>0001101=>7
[5,7,3,8,2,4,1,6]=>0010011=>7
[5,7,3,8,2,4,6,1]=>0000111=>7
[7,4,2,5,8,3,6,1]=>0010111=>7
[7,4,2,5,8,3,1,6]=>0110011=>7
[4,5,2,6,3,8,1,7]=>0001101=>7
[4,5,2,1,6,8,3,7]=>1001001=>7
[5,3,1,6,8,2,4,7]=>0101001=>7
[5,6,2,8,1,3,4,7]=>0000101=>7
[3,5,6,1,4,8,2,7]=>0000101=>7
[4,1,5,6,3,8,2,7]=>0010101=>7
[4,5,1,6,3,8,2,7]=>0001101=>7
[4,5,6,3,2,8,1,7]=>0100101=>7
[7,4,5,3,8,2,1,6]=>1001011=>7
[7,4,5,3,8,2,6,1]=>0001111=>7
[6,7,4,8,3,2,5,1]=>0101011=>7
[6,7,4,8,3,2,1,5]=>1100011=>7
[6,7,4,1,8,3,2,5]=>0110011=>7
[7,4,5,3,1,8,2,6]=>0101011=>7
[4,7,1,5,8,3,2,6]=>0100011=>7
[5,3,7,8,1,4,2,6]=>0011001=>7
[7,5,8,2,4,6,1,3]=>0000111=>7
[7,3,5,8,1,4,6,2]=>0000111=>7
[4,5,1,7,8,3,6,2]=>0001101=>7
[7,4,1,5,8,3,6,2]=>0010111=>7
[6,7,4,3,8,1,5,2]=>0011011=>7
[6,7,4,8,3,1,5,2]=>0101011=>7
[6,7,4,8,3,5,2,1]=>1001011=>7
[5,6,7,3,8,4,2,1]=>1010011=>7
[5,6,7,3,1,8,4,2]=>0110011=>7
[5,6,1,7,3,8,4,2]=>0010111=>7
[5,1,6,7,3,8,4,2]=>0011011=>7
[6,4,7,1,8,3,5,2]=>0001111=>7
[6,7,8,3,1,4,5,2]=>0101001=>7
[6,7,2,8,4,5,1,3]=>0001011=>7
[6,7,2,8,4,1,3,5]=>0010011=>7
[6,1,7,4,8,3,2,5]=>0100111=>7
[5,1,6,7,3,2,8,4]=>0101011=>7
[5,6,1,7,3,2,8,4]=>0100111=>7
[5,6,7,3,2,1,8,4]=>1100011=>7
[5,6,7,3,2,8,4,1]=>0110011=>7
[5,6,2,7,3,8,4,1]=>0010111=>7
[5,6,2,7,3,1,8,4]=>0100111=>7
[5,6,2,1,7,3,8,4]=>1000111=>7
[6,1,7,4,2,8,3,5]=>0010111=>7
[6,7,2,1,8,3,4,5]=>1000011=>7
[7,5,8,2,1,3,4,6]=>1000011=>7
[5,7,3,1,8,2,4,6]=>0100011=>7
[4,7,1,5,2,8,3,6]=>0001011=>7
[7,4,2,5,1,8,3,6]=>0011011=>7
[6,7,4,2,1,8,3,5]=>1010011=>7
[6,7,4,2,8,3,1,5]=>0110011=>7
[6,7,4,2,8,3,5,1]=>0011011=>7
[3,6,7,2,8,4,5,1]=>0001011=>7
[3,6,7,2,8,4,1,5]=>0010011=>7
[3,6,7,2,1,8,4,5]=>1000011=>7
[5,7,3,8,2,1,4,6]=>1000011=>7
[3,4,7,8,2,1,5,6]=>1000001=>7
[3,7,8,1,4,6,2,5]=>0000101=>7
[3,4,7,8,2,6,1,5]=>0000101=>7
[5,7,3,8,2,6,1,4]=>0000111=>7
[3,6,7,2,8,5,1,4]=>0001011=>7
[3,6,7,8,5,2,1,4]=>1001001=>7
[3,6,7,8,5,2,4,1]=>0011001=>7
[6,4,7,8,2,5,3,1]=>0101101=>7
[6,4,7,8,2,1,5,3]=>1001101=>7
[4,1,5,7,8,2,6,3]=>0010101=>7
[5,3,7,8,1,6,2,4]=>0001101=>7
[6,7,2,8,5,1,3,4]=>0001011=>7
[6,4,1,7,8,2,5,3]=>0011101=>7
[5,1,6,2,7,8,4,3]=>0011101=>7
[5,6,2,1,7,8,4,3]=>1010101=>7
[5,6,2,7,1,8,4,3]=>0010111=>7
[5,6,2,7,8,4,3,1]=>0110101=>7
[5,6,7,2,8,4,3,1]=>0110011=>7
[5,6,7,2,1,8,4,3]=>1010011=>7
[5,6,1,7,2,8,4,3]=>0010111=>7
[5,1,6,7,2,8,4,3]=>0011011=>7
[6,4,7,1,8,2,5,3]=>0001111=>7
[3,6,7,1,8,5,2,4]=>0001011=>7
[6,7,8,5,2,4,1,3]=>0011001=>7
[6,7,8,3,5,1,4,2]=>0011001=>7
[4,6,7,8,1,5,3,2]=>0101001=>7
[5,1,6,7,8,4,3,2]=>0111001=>7
[5,6,1,7,8,4,3,2]=>0110101=>7
[5,6,7,1,8,4,3,2]=>0110011=>7
[8,6,1,3,4,2,5,7]=>0010101=>7
[8,3,2,5,1,6,4,7]=>0101101=>7
[8,5,3,6,2,4,1,7]=>0011101=>7
[5,3,2,7,4,1,8,6]=>0111011=>7
[7,5,3,8,2,4,6,1]=>0001111=>7
[7,2,4,5,8,3,6,1]=>0000111=>7
[2,4,5,3,7,1,8,6]=>0001011=>7
[8,2,4,5,6,3,1,7]=>0100101=>7
[8,2,4,5,6,1,3,7]=>0000101=>7
[8,1,2,4,5,6,3,7]=>0000101=>7
[8,2,5,1,3,6,4,7]=>0001101=>7
[8,5,6,2,1,4,3,7]=>1010101=>7
[8,5,3,6,4,1,2,7]=>0011101=>7
[8,4,1,5,6,3,2,7]=>0110101=>7
[8,1,4,5,6,3,2,7]=>0100101=>7
[4,5,3,7,2,1,8,6]=>1001011=>7
[7,4,5,8,3,2,6,1]=>0100111=>7
[4,3,6,7,2,8,5,1]=>0011011=>7
[4,3,6,7,2,8,1,5]=>0010011=>7
[1,4,3,6,7,2,8,5]=>0010011=>7
[4,5,3,7,1,8,2,6]=>0001011=>7
[4,1,5,3,7,2,8,6]=>0011011=>7
[5,3,4,7,1,2,8,6]=>0001011=>7
[7,5,8,2,1,4,6,3]=>1000111=>7
[7,5,3,8,4,1,6,2]=>0011111=>7
[7,4,5,8,3,6,1,2]=>0000111=>7
[4,3,6,7,8,1,5,2]=>0011001=>7
[1,6,4,7,8,3,5,2]=>0001101=>7
[6,4,7,8,3,5,2,1]=>1001101=>7
[3,5,6,7,8,4,1,2]=>0010001=>7
[3,1,5,6,7,8,4,2]=>0110001=>7
[4,6,1,7,8,3,5,2]=>0001101=>7
[3,6,7,1,4,8,5,2]=>0001011=>7
[6,2,4,1,7,8,5,3]=>0011101=>7
[2,6,7,1,4,8,3,5]=>0000011=>7
[4,3,6,7,8,1,2,5]=>0010001=>7
[1,5,3,6,7,8,2,4]=>0001001=>7
[3,5,6,7,8,2,1,4]=>1000001=>7
[3,5,6,7,8,2,4,1]=>0010001=>7
[5,2,7,1,3,8,4,6]=>0001011=>7
[5,3,1,7,8,2,4,6]=>0101001=>7
[4,5,2,7,8,1,3,6]=>0001001=>7
[4,2,6,7,8,3,1,5]=>0110001=>7
[4,2,6,7,8,3,5,1]=>0011001=>7
[3,6,2,7,4,8,5,1]=>0001111=>7
[3,6,2,7,4,8,1,5]=>0000111=>7
[3,2,1,6,4,7,8,5]=>1100101=>7
[3,7,4,2,1,5,8,6]=>1010011=>7
[1,7,3,4,2,5,8,6]=>0010011=>7
[4,7,2,1,3,5,8,6]=>1000011=>7
[7,8,4,2,1,3,6,5]=>1010101=>7
[7,8,1,3,4,2,6,5]=>0010101=>7
[7,8,3,4,2,1,6,5]=>1010101=>7
[6,3,2,7,1,8,5,4]=>0101111=>7
[3,6,2,7,1,8,5,4]=>0001111=>7
[6,7,3,8,2,5,4,1]=>0011011=>7
[6,4,7,8,5,2,3,1]=>0101101=>7
[2,6,4,7,8,1,5,3]=>0001101=>7
[4,6,2,7,8,1,5,3]=>0001101=>7
[7,4,5,8,6,2,1,3]=>1000111=>7
[7,4,1,5,8,6,2,3]=>0010111=>7
[7,5,3,8,6,1,2,4]=>0001111=>7
[7,5,8,2,1,6,3,4]=>1000111=>7
[6,2,7,1,3,8,5,4]=>0001111=>7
[6,3,1,7,8,2,5,4]=>0101101=>7
[4,6,1,7,8,5,2,3]=>0001101=>7
[5,1,2,6,7,8,4,3]=>0011001=>7
[5,2,6,7,8,4,1,3]=>0011001=>7
[5,2,6,7,8,4,3,1]=>0111001=>7
[2,5,6,7,8,4,1,3]=>0010001=>7
[1,5,2,6,7,8,4,3]=>0011001=>7
[1,6,4,7,8,5,2,3]=>0001101=>7
[2,6,7,1,3,8,5,4]=>0001011=>7
[6,7,8,2,1,5,4,3]=>1011001=>7
[6,7,3,8,5,1,4,2]=>0011011=>7
[6,4,7,8,5,3,1,2]=>0101101=>7
[4,5,2,3,7,6,1,8]=>0001110=>7
[6,4,3,7,2,5,1,8]=>0011110=>7
[8,4,3,6,5,1,2,7]=>0011101=>7
[1,5,6,3,4,8,7,2]=>0000111=>7
[4,6,2,7,3,5,1,8]=>0001110=>7
[3,2,6,7,4,5,1,8]=>0101010=>7
[4,7,2,6,5,3,1,8]=>0101110=>7
[5,7,6,2,4,3,1,8]=>0110110=>7
[1,7,5,4,8,3,6,2]=>0001111=>7
[8,7,5,4,1,3,2,6]=>0111011=>7
[6,8,5,4,2,1,3,7]=>1011001=>7
[5,8,6,2,4,1,3,7]=>0010101=>7
[4,8,2,6,5,1,3,7]=>0001101=>7
[3,2,8,6,5,1,4,7]=>0101101=>7
[4,1,2,6,5,8,7,3]=>0010111=>7
[5,1,6,2,4,8,7,3]=>0001111=>7
[6,1,5,4,2,8,7,3]=>0011111=>7
[7,1,5,4,8,2,6,3]=>0001111=>7
[8,1,5,4,7,6,2,3]=>0001111=>7
[1,8,6,7,4,5,3,2]=>0101011=>7
[8,1,6,7,4,5,2,3]=>0001011=>7
[7,1,6,8,4,2,5,3]=>0011011=>7
[6,1,7,8,2,4,5,3]=>0001101=>7
[5,1,7,2,8,4,6,3]=>0001111=>7
[4,1,2,7,8,5,6,3]=>0010101=>7
[3,2,1,7,8,5,6,4]=>1100101=>7
[3,2,8,7,1,5,4,6]=>0101011=>7
[4,8,2,7,1,5,3,6]=>0001011=>7
[5,8,7,2,1,4,3,6]=>1010011=>7
[6,8,7,1,2,4,3,5]=>0010011=>7
[7,8,6,1,4,2,3,5]=>0010101=>7
[8,7,6,1,4,3,2,5]=>0110111=>7
[1,7,6,8,4,3,5,2]=>0011011=>7
[1,6,7,8,3,4,5,2]=>0001001=>7
[8,6,7,1,3,4,2,5]=>0010011=>7
[7,6,8,1,3,2,4,5]=>0100011=>7
[5,7,8,2,1,3,4,6]=>1000001=>7
[4,7,2,8,1,3,5,6]=>0000011=>7
[3,2,6,8,4,1,5,7]=>0110001=>7
[4,6,2,8,3,1,5,7]=>0100101=>7
[5,6,8,2,3,1,4,7]=>0100001=>7
[6,5,8,3,2,1,4,7]=>1100101=>7
[7,5,8,3,1,2,4,6]=>0100011=>7
[8,5,7,3,1,4,2,6]=>0110011=>7
[1,5,7,3,8,4,6,2]=>0000111=>7
[1,4,3,7,8,5,6,2]=>0010101=>7
[8,4,3,7,1,5,2,6]=>0011011=>7
[6,4,3,8,2,1,5,7]=>1010101=>7
[4,5,2,3,8,1,6,7]=>0001001=>7
[3,2,5,4,8,1,6,7]=>0101001=>7
[4,5,2,3,1,8,7,6]=>0101011=>7
[6,4,3,1,2,8,7,5]=>0110111=>7
[7,4,3,1,8,2,6,5]=>0110111=>7
[8,4,3,1,7,6,2,5]=>0110111=>7
[1,5,8,3,7,6,4,2]=>0010111=>7
[8,5,1,3,7,6,2,4]=>0001111=>7
[7,5,1,3,8,2,6,4]=>0001111=>7
[6,5,1,3,2,8,7,4]=>0101111=>7
[5,6,1,2,3,8,7,4]=>0000111=>7
[4,6,2,1,3,8,7,5]=>1000111=>7
[3,2,6,1,4,8,7,5]=>0100111=>7
[3,2,7,1,8,4,6,5]=>0100111=>7
[4,7,2,1,8,3,6,5]=>1000111=>7
[5,7,1,2,8,3,6,4]=>0000111=>7
[6,7,1,8,2,3,5,4]=>0001011=>7
[7,6,1,8,3,2,5,4]=>0101111=>7
[8,6,1,7,3,5,2,4]=>0001111=>7
[1,6,8,7,3,5,4,2]=>0011011=>7
[1,7,8,6,5,3,4,2]=>0011101=>7
[8,7,1,6,5,3,2,4]=>0101111=>7
[7,8,1,6,5,2,3,4]=>0001101=>7
[6,8,1,7,2,5,3,4]=>0001011=>7
[5,8,1,2,7,6,3,4]=>0000111=>7
[4,8,2,1,7,6,3,5]=>1000111=>7
[3,2,8,1,7,6,4,5]=>0100111=>7
[4,1,2,8,7,6,5,3]=>0011111=>7
[5,1,8,2,7,6,4,3]=>0011111=>7
[6,1,8,7,2,5,4,3]=>0011111=>7
[7,1,8,6,5,2,4,3]=>0011111=>7
[8,1,7,6,5,4,2,3]=>0011111=>7
[3,1,2,6,5,8,7,4]=>0100111=>7
[3,1,6,2,4,8,7,5]=>0100111=>7
[3,1,5,2,4,8,7,6]=>0101011=>7
[4,5,1,2,3,8,7,6]=>0001011=>7
[4,6,1,2,3,8,7,5]=>0000111=>7
[1,6,5,3,4,8,7,2]=>0001111=>7
[6,1,5,2,4,8,7,3]=>0001111=>7
[6,5,1,2,3,8,7,4]=>0001111=>7
[6,4,1,2,3,8,7,5]=>0010111=>7
[5,4,1,2,3,8,7,6]=>0011011=>7
[5,4,1,2,7,3,6,8]=>0011010=>7
[6,4,1,7,2,3,5,8]=>0010110=>7
[6,4,1,8,2,3,5,7]=>0010101=>7
[7,4,1,2,8,3,6,5]=>0010111=>7
[7,5,1,2,8,3,6,4]=>0001111=>7
[7,1,5,2,8,4,6,3]=>0001111=>7
[1,7,5,3,8,4,6,2]=>0001111=>7
[1,8,5,3,7,4,6,2]=>0001111=>7
[8,1,5,2,7,4,6,3]=>0001111=>7
[8,5,1,2,7,3,6,4]=>0001111=>7
[8,4,1,2,7,3,6,5]=>0010111=>7
[8,4,1,7,2,3,5,6]=>0010011=>7
[7,4,1,6,2,3,5,8]=>0010110=>7
[8,6,1,7,2,3,5,4]=>0001111=>7
[8,1,6,7,2,4,5,3]=>0001011=>7
[1,8,6,7,3,4,5,2]=>0001011=>7
[1,7,6,8,3,4,5,2]=>0001011=>7
[7,1,6,8,2,4,5,3]=>0001011=>7
[7,6,1,8,2,3,5,4]=>0001111=>7
[4,7,1,2,8,3,6,5]=>0000111=>7
[3,1,7,2,8,4,6,5]=>0100111=>7
[3,1,2,7,8,5,6,4]=>0100101=>7
[1,4,3,8,7,5,6,2]=>0010111=>7
[4,1,2,8,7,5,6,3]=>0010111=>7
[3,1,2,8,7,5,6,4]=>0100111=>7
[3,1,8,2,7,4,6,5]=>0100111=>7
[3,1,8,7,2,4,5,6]=>0100011=>7
[3,1,7,6,2,4,5,8]=>0100110=>7
[4,7,1,6,2,3,5,8]=>0000110=>7
[4,8,1,6,2,3,5,7]=>0000101=>7
[4,8,1,7,2,3,5,6]=>0000011=>7
[4,8,1,2,7,3,6,5]=>0000111=>7
[5,8,1,2,7,3,6,4]=>0000111=>7
[5,1,8,2,7,4,6,3]=>0001111=>7
[1,5,8,3,7,4,6,2]=>0000111=>7
[1,6,8,7,3,4,5,2]=>0001011=>7
[6,1,8,7,2,4,5,3]=>0001111=>7
[6,8,1,7,2,3,5,4]=>0001011=>7
[6,8,7,1,2,3,4,5]=>0000011=>7
[5,8,7,1,2,3,4,6]=>0000011=>7
[5,8,6,1,2,3,4,7]=>0000101=>7
[5,7,6,1,2,3,4,8]=>0000110=>7
[7,8,1,6,2,3,5,4]=>0001101=>7
[7,1,8,6,2,4,5,3]=>0001111=>7
[1,7,8,6,3,4,5,2]=>0001101=>7
[1,8,7,6,3,4,5,2]=>0001111=>7
[8,1,7,6,2,4,5,3]=>0001111=>7
[8,7,1,6,2,3,5,4]=>0001111=>7
[3,2,5,1,6,4,8,7]=>0101101=>7
[3,2,5,4,7,1,8,6]=>0101011=>7
[4,2,5,3,7,6,8,1]=>0011011=>7
[4,2,5,3,7,1,8,6]=>0011011=>7
[4,2,5,3,6,1,8,7]=>0011101=>7
[4,2,5,1,6,3,8,7]=>0011101=>7
[3,1,5,4,6,2,8,7]=>0101101=>7
[4,1,5,3,6,2,8,7]=>0011101=>7
[4,3,5,1,6,2,8,7]=>0011101=>7
[4,3,5,2,7,1,8,6]=>0011011=>7
[4,3,6,2,7,5,8,1]=>0010111=>7
[4,3,6,2,7,1,8,5]=>0010111=>7
[4,3,6,1,7,2,8,5]=>0010111=>7
[4,3,5,1,7,2,8,6]=>0011011=>7
[3,1,5,4,7,2,8,6]=>0101011=>7
[2,1,5,4,7,3,8,6]=>1001011=>7
[3,1,5,4,7,6,8,2]=>0101011=>7
[4,1,5,3,7,6,8,2]=>0011011=>7
[4,3,5,1,7,6,8,2]=>0011011=>7
[4,3,6,1,7,5,8,2]=>0010111=>7
[4,3,6,5,7,1,8,2]=>0010111=>7
[5,3,6,4,7,2,8,1]=>0001111=>7
[5,3,6,4,7,1,8,2]=>0001111=>7
[5,3,6,1,7,4,8,2]=>0001111=>7
[5,1,6,3,7,4,8,2]=>0001111=>7
[4,1,6,3,7,5,8,2]=>0010111=>7
[3,1,6,4,7,5,8,2]=>0100111=>7
[2,1,6,4,7,5,8,3]=>1000111=>7
[2,1,6,4,7,3,8,5]=>1000111=>7
[3,1,6,4,7,2,8,5]=>0100111=>7
[4,1,6,3,7,2,8,5]=>0010111=>7
[5,1,6,3,7,2,8,4]=>0001111=>7
[5,3,6,1,7,2,8,4]=>0001111=>7
[5,3,6,2,7,1,8,4]=>0001111=>7
[5,3,6,2,7,4,8,1]=>0001111=>7
[5,2,6,3,7,4,8,1]=>0001111=>7
[5,2,6,3,7,1,8,4]=>0001111=>7
[5,2,6,1,7,3,8,4]=>0001111=>7
[4,2,5,1,7,3,8,6]=>0011011=>7
[4,2,6,1,7,3,8,5]=>0010111=>7
[4,2,6,3,7,1,8,5]=>0010111=>7
[4,2,6,3,7,5,8,1]=>0010111=>7
[3,2,6,4,7,5,8,1]=>0100111=>7
[3,2,6,4,7,1,8,5]=>0100111=>7
[3,2,6,1,7,4,8,5]=>0100111=>7
[3,2,5,1,7,4,8,6]=>0101011=>7
[3,2,4,1,7,5,8,6]=>0110011=>7
[3,1,4,2,7,6,8,5]=>0110011=>7
[3,2,5,1,7,6,8,4]=>0101011=>7
[3,2,6,1,7,5,8,4]=>0100111=>7
[3,2,6,5,7,1,8,4]=>0100111=>7
[4,2,6,5,7,3,8,1]=>0010111=>7
[4,2,6,5,7,1,8,3]=>0010111=>7
[4,2,6,1,7,5,8,3]=>0010111=>7
[4,2,5,1,7,6,8,3]=>0011011=>7
[4,1,5,2,7,6,8,3]=>0011011=>7
[3,1,5,2,7,6,8,4]=>0101011=>7
[2,1,5,3,7,6,8,4]=>1001011=>7
[2,1,6,3,7,5,8,4]=>1000111=>7
[3,1,6,2,7,5,8,4]=>0100111=>7
[4,1,6,2,7,5,8,3]=>0010111=>7
[5,1,6,2,7,4,8,3]=>0001111=>7
[5,2,6,1,7,4,8,3]=>0001111=>7
[5,2,6,4,7,1,8,3]=>0001111=>7
[5,2,6,4,7,3,8,1]=>0001111=>7
[5,4,6,2,7,3,8,1]=>0001111=>7
[5,4,6,2,7,1,8,3]=>0001111=>7
[5,4,6,1,7,2,8,3]=>0001111=>7
[5,1,6,4,7,2,8,3]=>0001111=>7
[4,1,6,5,7,2,8,3]=>0010111=>7
[3,1,6,5,7,2,8,4]=>0100111=>7
[2,1,6,5,7,3,8,4]=>1000111=>7
[3,1,6,5,7,4,8,2]=>0100111=>7
[4,1,6,5,7,3,8,2]=>0010111=>7
[5,1,6,4,7,3,8,2]=>0001111=>7
[5,4,6,1,7,3,8,2]=>0001111=>7
[5,4,6,3,7,1,8,2]=>0001111=>7
[8,3,5,2,1,6,4,7]=>1001101=>7
[8,6,3,5,2,4,1,7]=>0011101=>7
[3,7,5,2,4,1,8,6]=>0011011=>7
[8,3,7,5,2,4,6,1]=>0001111=>7
[8,2,4,5,7,3,6,1]=>0000111=>7
[2,4,5,7,3,1,8,6]=>0100011=>7
[8,2,4,6,5,3,1,7]=>0101101=>7
[8,2,5,4,6,1,3,7]=>0001101=>7
[8,6,3,5,1,4,2,7]=>0011101=>7
[8,6,1,4,5,3,2,7]=>0101101=>7
[8,1,5,6,4,3,2,7]=>0110101=>7
[5,7,4,3,2,1,8,6]=>1110011=>7
[8,5,7,4,3,2,6,1]=>0110111=>7
[4,6,8,3,2,7,5,1]=>0101011=>7
[4,7,6,3,2,8,1,5]=>0100111=>7
[1,4,6,7,3,2,8,5]=>0100011=>7
[5,4,7,3,1,8,2,6]=>0101011=>7
[1,7,4,5,3,2,8,6]=>0101011=>7
[3,7,5,1,4,2,8,6]=>0011011=>7
[5,7,4,2,1,3,8,6]=>1010011=>7
[8,5,7,4,2,1,6,3]=>1010111=>7
[8,3,7,5,1,4,6,2]=>0001111=>7
[8,4,1,7,5,3,6,2]=>0011111=>7
[4,6,3,8,7,1,5,2]=>0001111=>7
[1,7,4,8,6,3,5,2]=>0001111=>7
[8,4,7,6,3,5,2,1]=>1001111=>7
[3,6,5,8,7,4,1,2]=>0010111=>7
[3,1,5,8,6,7,4,2]=>0110011=>7
[4,8,1,6,7,3,5,2]=>0001011=>7
[3,6,4,1,8,7,5,2]=>0011111=>7
[8,2,6,1,4,7,5,3]=>0001111=>7
[2,7,6,8,1,4,3,5]=>0010011=>7
[3,7,1,6,4,8,2,5]=>0000111=>7
[1,7,3,5,6,8,2,4]=>0000011=>7
[1,3,6,7,5,8,2,4]=>0000011=>7
[3,7,6,5,8,2,1,4]=>1000111=>7
[3,6,8,5,7,2,4,1]=>0010011=>7
[2,3,5,7,6,8,1,4]=>0000011=>7
[2,1,6,5,7,8,3,4]=>1000101=>7
[4,2,7,6,8,3,1,5]=>0110011=>7
[4,2,6,8,7,3,5,1]=>0011011=>7
[3,8,2,4,6,7,5,1]=>0001011=>7
[3,7,2,6,4,8,1,5]=>0000111=>7
[3,2,6,1,4,7,8,5]=>0100101=>7
[5,3,7,2,1,8,4,6]=>1001011=>7
[4,7,3,2,1,5,8,6]=>1100011=>7
[8,7,6,1,3,4,2,5]=>0010111=>7
[8,5,7,3,2,1,6,4]=>1100111=>7
[8,3,6,7,2,1,5,4]=>1001011=>7
[3,7,8,6,2,1,5,4]=>1001101=>7
[8,7,6,3,5,2,4,1]=>0011111=>7
[2,7,4,8,1,6,5,3]=>0001111=>7
[4,6,8,2,1,7,5,3]=>1001011=>7
[8,4,1,5,7,2,6,3]=>0010111=>7
[8,5,3,7,1,6,2,4]=>0001111=>7
[8,5,7,2,1,3,6,4]=>1000111=>7
[8,2,6,7,1,3,5,4]=>0001011=>7
[8,3,6,1,7,5,2,4]=>0001111=>7
[4,6,1,8,7,2,5,3]=>0001111=>7
[8,1,2,5,6,7,4,3]=>0010011=>7
[8,2,6,5,7,4,1,3]=>0010111=>7
[2,1,7,8,5,6,4,3]=>1010101=>7
[8,2,5,7,6,4,3,1]=>0110111=>7
[2,7,6,8,5,4,1,3]=>0011011=>7
[1,7,2,5,8,6,4,3]=>0010111=>7
[1,7,4,8,2,6,5,3]=>0001111=>7
[3,7,8,1,6,5,2,4]=>0001101=>7
[2,7,8,6,1,3,5,4]=>0001101=>7
[8,7,6,3,5,1,4,2]=>0011111=>7
[8,4,7,6,5,1,3,2]=>0101111=>7
[8,7,1,5,6,4,3,2]=>0110111=>7
[8,1,6,7,5,4,3,2]=>0111011=>7
[6,5,3,1,2,4,8,7]=>0101101=>7
[4,6,3,5,1,2,8,7]=>0001101=>7
[8,5,3,7,2,1,4,6]=>1001011=>7
[6,8,1,4,5,7,3,2]=>0100011=>7
[8,7,2,4,5,1,3,6]=>0001011=>7
[3,6,2,4,5,1,8,7]=>0001101=>7
[2,6,1,4,5,3,8,7]=>0001101=>7
[6,1,2,4,5,3,8,7]=>0001101=>7
[5,6,3,2,1,4,8,7]=>1100101=>7
[5,4,3,6,1,2,8,7]=>0011101=>7
[6,3,1,4,5,2,8,7]=>0101101=>7
[3,1,6,4,5,2,8,7]=>0101101=>7
[8,3,7,4,5,1,2,6]=>0001011=>7
[5,8,7,4,2,6,3,1]=>0110111=>7
[2,8,7,4,1,6,3,5]=>0010111=>7
[8,1,7,4,2,6,3,5]=>0010111=>7
[3,7,8,4,5,1,2,6]=>0001001=>7
[2,1,8,7,5,3,4,6]=>1001011=>7
[2,1,6,8,5,7,3,4]=>1000011=>7
[5,6,3,8,1,7,2,4]=>0000111=>7
[7,6,1,4,5,8,3,2]=>0100111=>7
[3,7,6,4,5,8,2,1]=>1000111=>7
[8,5,7,4,1,6,3,2]=>0110111=>7
[5,1,8,4,7,6,2,3]=>0001111=>7
[2,5,8,4,7,6,1,3]=>0000111=>7
[2,4,8,3,5,6,7,1]=>0000011=>7
[4,1,8,3,5,6,7,2]=>0010011=>7
[3,8,4,2,5,6,7,1]=>0010011=>7
[8,4,1,3,5,6,7,2]=>0010011=>7
[7,5,8,4,3,6,1,2]=>0010111=>7
[6,5,3,8,4,1,7,2]=>0011111=>7
[2,1,5,8,4,6,7,3]=>1000011=>7
[2,1,4,8,3,6,7,5]=>1000011=>7
[6,4,3,8,2,1,7,5]=>1010111=>7
[7,3,8,4,2,6,1,5]=>0010111=>7
[8,3,1,2,5,6,7,4]=>0100011=>7
[3,1,8,2,5,6,7,4]=>0100011=>7
[2,3,8,1,5,6,7,4]=>0000011=>7
[4,3,8,2,5,6,7,1]=>0010011=>7
[4,8,2,3,5,6,7,1]=>0000011=>7
[3,8,2,1,5,6,7,4]=>1000011=>7
[2,8,1,3,5,6,7,4]=>0000011=>7
[8,1,2,3,5,6,7,4]=>0000011=>7
[7,8,2,4,3,6,1,5]=>0010101=>7
[6,8,3,2,4,1,7,5]=>0110011=>7
[2,1,8,3,4,6,7,5]=>1000011=>7
[2,1,7,8,5,4,3,6]=>1011001=>7
[5,7,3,8,1,4,2,6]=>0010011=>7
[7,1,8,4,5,3,2,6]=>0101011=>7
[2,7,8,4,5,3,1,6]=>0101001=>7
[8,7,1,4,3,6,2,5]=>0010111=>7
[3,8,7,4,2,6,1,5]=>0010111=>7
[5,7,8,4,3,6,2,1]=>1010101=>7
[5,6,3,8,4,2,7,1]=>0010111=>7
[4,8,3,6,2,1,7,5]=>1000111=>7
[8,6,3,1,4,2,7,5]=>0110111=>7
[7,5,3,8,2,4,1,6]=>0011011=>7
[2,4,3,1,8,5,7,6]=>0110011=>7
[4,1,3,2,6,8,7,5]=>0110011=>7
[7,5,3,6,2,8,1,4]=>0001111=>7
[8,6,3,5,1,2,7,4]=>0001111=>7
[5,8,3,2,6,1,7,4]=>0100111=>7
[4,5,3,8,6,2,7,1]=>0001111=>7
[3,5,8,4,7,6,2,1]=>1000111=>7
[5,8,2,4,7,6,1,3]=>0000111=>7
[8,7,5,4,1,6,2,3]=>0011111=>7
[2,7,6,4,5,8,1,3]=>0000111=>7
[7,1,6,4,5,8,2,3]=>0000111=>7
[5,7,3,6,1,8,2,4]=>0000111=>7
[2,1,7,6,5,8,3,4]=>1000111=>7
[2,1,8,5,3,6,7,4]=>1001011=>7
[6,8,3,5,2,1,7,4]=>1001011=>7
[7,8,5,4,2,6,1,3]=>0011101=>7
[8,1,4,2,5,6,7,3]=>0010011=>7
[2,8,4,1,5,6,7,3]=>0010011=>7
[4,8,1,2,5,6,7,3]=>0000011=>7
[3,4,8,1,5,6,7,2]=>0000011=>7
[3,4,2,8,5,6,7,1]=>0010011=>7
[2,4,1,8,5,6,7,3]=>0010011=>7
[4,1,2,8,5,6,7,3]=>0010011=>7
[8,4,2,1,5,6,7,3]=>1010011=>7
[7,5,2,4,8,6,1,3]=>0001111=>7
[6,5,3,2,8,1,7,4]=>0101111=>7
[2,1,5,3,8,6,7,4]=>1001011=>7
[6,4,3,5,8,1,7,2]=>0010111=>7
[7,3,5,4,8,6,1,2]=>0001111=>7
[8,3,4,1,5,6,7,2]=>0010011=>7
[4,3,1,8,5,6,7,2]=>0110011=>7
[3,1,4,8,5,6,7,2]=>0100011=>7
[6,5,3,7,2,8,4,1]=>0011111=>7
[6,3,7,4,5,8,2,1]=>1000111=>7
[6,7,2,4,5,8,3,1]=>0100011=>7
[5,1,7,4,8,6,3,2]=>0101111=>7
[2,5,7,4,8,6,3,1]=>0100111=>7
[5,6,3,7,1,8,4,2]=>0010111=>7
[3,8,7,4,5,2,1,6]=>1001011=>7
[3,7,5,4,8,6,2,1]=>1001111=>7
[5,7,1,4,8,6,2,3]=>0000111=>7
[5,6,3,1,8,2,7,4]=>0100111=>7
[4,6,3,5,8,2,7,1]=>0000111=>7
[4,6,3,8,1,2,7,5]=>0000111=>7
[3,7,8,4,1,6,2,5]=>0010101=>7
[3,2,5,1,6,8,4,7]=>0101001=>7
[3,6,2,5,4,8,1,7]=>0001101=>7
[3,5,2,4,7,1,8,6]=>0001011=>7
[3,5,8,2,4,7,6,1]=>0000111=>7
[4,2,5,8,3,7,6,1]=>0010111=>7
[4,2,6,5,3,8,1,7]=>0011101=>7
[5,4,2,1,6,8,3,7]=>1011001=>7
[6,3,5,1,4,8,2,7]=>0001101=>7
[4,6,1,5,3,8,2,7]=>0001101=>7
[5,1,6,4,3,8,2,7]=>0011101=>7
[5,4,3,2,7,1,8,6]=>0111011=>7
[5,4,3,8,2,7,6,1]=>0011111=>7
[4,3,6,2,8,7,5,1]=>0011111=>7
[4,3,7,6,2,1,8,5]=>1010111=>7
[6,4,3,1,7,2,8,5]=>0110111=>7
[7,5,4,3,1,8,2,6]=>0111011=>7
[1,4,7,5,8,3,2,6]=>0100011=>7
[7,1,3,5,8,4,2,6]=>0010011=>7
[7,2,5,8,4,1,3,6]=>0010011=>7
[2,8,5,7,4,6,1,3]=>0000111=>7
[3,5,8,7,1,4,6,2]=>0000111=>7
[1,4,5,8,7,3,6,2]=>0000111=>7
[1,5,4,8,7,3,6,2]=>0001111=>7
[6,4,3,8,1,7,5,2]=>0011111=>7
[4,3,7,1,8,6,5,2]=>0011111=>7
[4,8,3,7,6,5,2,1]=>1001111=>7
[5,3,8,7,6,4,2,1]=>1011111=>7
[7,5,3,1,8,6,4,2]=>0111111=>7
[1,8,6,5,3,7,4,2]=>0011111=>7
[1,5,8,6,3,7,4,2]=>0010111=>7
[4,6,1,8,7,3,5,2]=>0001111=>7
[6,8,7,3,1,4,5,2]=>0101011=>7
[6,2,8,7,4,5,1,3]=>0001111=>7
[7,6,2,8,4,1,3,5]=>0010111=>7
[7,3,1,6,8,4,2,5]=>0110011=>7
[1,7,6,4,8,3,2,5]=>0100111=>7
[5,7,1,6,3,2,8,4]=>0100111=>7
[6,1,7,5,3,2,8,4]=>0101111=>7
[7,6,5,3,2,1,8,4]=>1101111=>7
[6,5,3,2,8,7,4,1]=>0111111=>7
[5,2,6,3,8,7,4,1]=>0011111=>7
[5,2,7,6,3,1,8,4]=>0101111=>7
[6,5,2,1,7,3,8,4]=>1001111=>7
[5,2,7,4,1,8,3,6]=>0011011=>7
[4,7,2,6,3,1,8,5]=>0100111=>7
[2,4,8,6,3,7,5,1]=>0001111=>7
[3,8,6,2,4,7,5,1]=>0001111=>7
[7,3,6,2,4,1,8,5]=>0010111=>7
[3,6,7,2,1,4,8,5]=>1000011=>7
[4,3,7,8,2,1,5,6]=>1010001=>7
[8,3,7,1,4,6,2,5]=>0000111=>7
[3,8,2,5,7,1,6,4]=>0000111=>7
[8,3,6,2,7,1,5,4]=>0001111=>7
[7,8,3,6,2,1,5,4]=>1001101=>7
[8,7,3,6,2,5,4,1]=>0011111=>7
[4,7,8,2,1,6,5,3]=>1001101=>7
[4,2,6,8,1,7,5,3]=>0011011=>7
[5,4,8,2,7,1,6,3]=>0001111=>7
[4,8,1,5,7,2,6,3]=>0000111=>7
[5,8,3,7,1,6,2,4]=>0000111=>7
[5,8,7,2,6,1,3,4]=>0000111=>7
[8,6,2,7,5,1,3,4]=>0001111=>7
[3,6,8,1,7,5,2,4]=>0001011=>7
[5,1,6,8,2,7,4,3]=>0011011=>7
[6,5,2,8,1,7,4,3]=>0011111=>7
[5,2,7,1,8,6,4,3]=>0011111=>7
[5,8,2,7,6,4,3,1]=>0110111=>7
[6,2,8,7,5,4,3,1]=>0111111=>7
[7,6,2,1,8,5,4,3]=>1011111=>7
[6,1,7,2,8,5,4,3]=>0011111=>7
[7,5,1,8,2,6,4,3]=>0011111=>7
[4,7,1,8,6,2,5,3]=>0001111=>7
[7,8,3,1,6,5,2,4]=>0101101=>7
[8,7,4,6,1,5,3,2]=>0101111=>7
[8,5,7,1,6,4,3,2]=>0110111=>7
[6,8,1,7,5,4,3,2]=>0111011=>7
[7,1,8,6,5,4,3,2]=>0111111=>7
[5,4,2,3,7,6,1,8]=>0011110=>7
[6,4,2,7,3,5,1,8]=>0011110=>7
[7,4,2,6,3,5,1,8]=>0011110=>7
[8,4,2,6,3,1,5,7]=>0110101=>7
[3,2,7,6,4,5,1,8]=>0101110=>7
[4,7,2,6,3,5,1,8]=>0001110=>7
[5,7,6,2,3,4,1,8]=>0010110=>7
[1,6,5,2,3,8,4,7]=>0001101=>7
[1,7,5,2,8,3,4,6]=>0001011=>7
[6,8,5,2,3,1,4,7]=>0101001=>7
[5,8,6,2,3,1,4,7]=>0100101=>7
[4,8,2,6,3,1,5,7]=>0100101=>7
[3,2,8,6,4,1,5,7]=>0110101=>7
[3,2,1,6,4,8,5,7]=>1100101=>7
[7,1,5,2,8,3,4,6]=>0001011=>7
[1,8,5,2,7,3,4,6]=>0001011=>7
[1,8,6,7,2,3,4,5]=>0000011=>7
[8,1,6,7,2,3,4,5]=>0000011=>7
[7,1,6,8,2,3,4,5]=>0000011=>7
[3,2,1,7,8,4,5,6]=>1100001=>7
[3,2,8,7,1,4,5,6]=>0100011=>7
[5,8,7,2,1,3,4,6]=>1000011=>7
[1,7,6,8,2,3,4,5]=>0000011=>7
[6,5,8,2,3,1,4,7]=>0100101=>7
[8,5,7,2,1,3,4,6]=>1000011=>7
[6,4,2,8,3,1,5,7]=>0110101=>7
[5,4,2,3,8,1,6,7]=>0011001=>7
[3,2,5,4,1,8,6,7]=>0111001=>7
[4,5,2,3,1,8,6,7]=>0101001=>7
[5,4,2,3,1,8,6,7]=>0111001=>7
[6,4,2,1,3,8,5,7]=>1010101=>7
[7,4,2,1,8,3,5,6]=>1010011=>7
[8,4,2,1,7,3,5,6]=>1010011=>7
[1,4,2,8,7,3,5,6]=>0010011=>7
[1,5,8,2,7,3,4,6]=>0000011=>7
[8,5,1,2,7,3,4,6]=>0001011=>7
[7,5,1,2,8,3,4,6]=>0001011=>7
[6,5,1,2,3,8,4,7]=>0001101=>7
[4,6,2,1,3,8,5,7]=>1000101=>7
[3,2,6,1,4,8,5,7]=>0100101=>7
[3,2,7,1,8,4,5,6]=>0100011=>7
[4,7,2,1,8,3,5,6]=>1000011=>7
[7,6,1,8,2,3,4,5]=>0000111=>7
[8,6,1,7,2,3,4,5]=>0000111=>7
[1,6,8,7,2,3,4,5]=>0000011=>7
[1,7,8,6,2,3,4,5]=>0000101=>7
[7,8,1,6,2,3,4,5]=>0000101=>7
[6,8,1,7,2,3,4,5]=>0000011=>7
[4,8,2,1,7,3,5,6]=>1000011=>7
[3,2,8,1,7,4,5,6]=>0100011=>7
[3,2,1,8,7,4,5,6]=>1100011=>7
[5,1,8,2,7,3,4,6]=>0001011=>7
[6,1,8,7,2,3,4,5]=>0000111=>7
[8,1,7,6,2,3,4,5]=>0000111=>7
[1,8,7,6,2,3,4,5]=>0000111=>7
[6,3,5,1,2,4,8,7]=>0001101=>7
[4,3,5,6,1,2,8,7]=>0010101=>7
[8,3,7,5,2,1,4,6]=>1001011=>7
[6,3,7,5,1,8,4,2]=>0011111=>7
[6,5,2,7,1,8,3,4]=>0001111=>7
[8,5,2,7,4,1,3,6]=>0011011=>7
[2,6,1,5,4,3,8,7]=>0011101=>7
[6,4,3,5,1,2,8,7]=>0011101=>7
[5,3,1,4,6,2,8,7]=>0101101=>7
[3,1,4,6,5,2,8,7]=>0101101=>7
[5,7,4,6,2,8,3,1]=>0100111=>7
[8,1,4,7,2,6,3,5]=>0000111=>7
[3,4,7,8,5,2,1,6]=>1001001=>7
[2,1,8,5,7,3,4,6]=>1000011=>7
[8,6,3,5,1,7,4,2]=>0011111=>7
[5,8,2,4,6,7,3,1]=>0100011=>7
[3,4,8,6,5,7,1,2]=>0000111=>7
[7,5,4,8,1,6,3,2]=>0101111=>7
[5,1,4,6,8,2,7,3]=>0001011=>7
[2,5,4,6,7,1,8,3]=>0001011=>7
[2,4,6,3,7,5,8,1]=>0000111=>7
[4,1,6,3,8,5,7,2]=>0010111=>7
[3,7,4,2,8,6,5,1]=>0011111=>7
[7,4,1,3,5,8,6,2]=>0010111=>7
[6,5,8,4,1,7,3,2]=>0110111=>7
[8,5,3,7,4,1,6,2]=>0011111=>7
[2,1,4,8,3,7,6,5]=>1000111=>7
[7,4,3,8,2,1,6,5]=>1010111=>7
[6,3,7,4,1,8,2,5]=>0010111=>7
[8,3,1,2,5,7,6,4]=>0100111=>7
[3,1,8,2,7,6,5,4]=>0101111=>7
[2,3,8,1,6,7,5,4]=>0001011=>7
[4,3,7,2,6,8,5,1]=>0011011=>7
[4,7,2,3,8,5,6,1]=>0000111=>7
[3,8,2,1,7,5,6,4]=>1000111=>7
[2,8,1,3,6,5,7,4]=>0000111=>7
[2,7,8,5,4,3,1,6]=>0111001=>7
[8,7,1,6,3,4,2,5]=>0010111=>7
[3,8,6,7,2,4,1,5]=>0010011=>7
[5,3,8,7,4,2,6,1]=>0011111=>7
[4,3,8,7,2,1,6,5]=>1010111=>7
[8,3,6,1,4,2,7,5]=>0010111=>7
[7,3,5,8,2,4,1,6]=>0010011=>7
[2,3,4,1,8,5,7,6]=>0010011=>7
[4,1,3,2,6,7,8,5]=>0110001=>7
[8,3,5,6,2,7,1,4]=>0000111=>7
[5,3,6,1,8,7,2,4]=>0001111=>7
[5,6,2,8,7,4,1,3]=>0010111=>7
[7,8,5,6,1,4,2,3]=>0010101=>7
[2,8,6,5,4,7,1,3]=>0001111=>7
[8,1,6,4,5,7,2,3]=>0000111=>7
[5,8,3,6,1,7,2,4]=>0000111=>7
[2,1,8,6,5,7,3,4]=>1000111=>7
[2,1,7,5,3,6,8,4]=>1001011=>7
[6,7,3,5,2,1,8,4]=>1001011=>7
[7,1,4,2,5,6,8,3]=>0010011=>7
[2,7,4,1,6,5,8,3]=>0010111=>7
[4,6,1,2,8,7,3,5]=>0000111=>7
[2,4,1,5,8,7,6,3]=>0010111=>7
[4,1,2,5,8,6,7,3]=>0010011=>7
[6,4,2,1,5,8,7,3]=>1010111=>7
[8,5,2,4,6,1,7,3]=>0001111=>7
[7,5,3,2,6,8,1,4]=>0101011=>7
[2,1,5,3,6,8,7,4]=>1001011=>7
[7,3,5,4,6,1,8,2]=>0001111=>7
[6,3,4,1,5,7,8,2]=>0010101=>7
[4,3,1,5,7,6,8,2]=>0110011=>7
[3,1,4,5,6,8,7,2]=>0100011=>7
[4,5,2,6,3,1,8,7]=>0101101=>7
[6,5,2,1,4,3,8,7]=>1011101=>7
[6,5,2,7,4,8,3,1]=>0101111=>7
[8,5,2,7,4,1,6,3]=>0011111=>7
[8,3,7,5,2,1,6,4]=>1001111=>7
[6,3,7,5,2,8,4,1]=>0011111=>7
[3,1,6,5,4,2,8,7]=>0111101=>7
[5,6,3,2,4,1,8,7]=>0110101=>7
[3,6,2,4,1,5,8,7]=>0010101=>7
[2,6,1,3,5,4,8,7]=>0001101=>7
[6,7,2,3,4,8,5,1]=>0001011=>7
[8,7,2,3,4,1,6,5]=>0010111=>7
[5,1,7,3,8,4,6,2]=>0001111=>7
[2,5,7,3,8,6,4,1]=>0010111=>7
[7,6,1,3,5,8,4,2]=>0010111=>7
[3,6,7,4,1,8,5,2]=>0011011=>7
[5,6,3,7,4,8,1,2]=>0000111=>7
[2,1,6,7,4,8,5,3]=>1001011=>7
[2,1,8,7,4,3,6,5]=>1010111=>7
[5,8,3,7,4,2,6,1]=>0010111=>7
[3,8,7,4,1,2,6,5]=>0010111=>7
[7,8,1,3,5,2,6,4]=>0001101=>7
[5,8,7,3,2,6,1,4]=>0100111=>7
[2,8,6,3,1,5,7,4]=>0100111=>7
[8,1,6,3,2,5,4,7]=>0101101=>7
[2,8,4,1,6,3,7,5]=>0010111=>7
[4,8,1,2,7,6,3,5]=>0000111=>7
[3,8,4,2,5,7,1,6]=>0010011=>7
[6,8,3,5,2,7,4,1]=>0011011=>7
[2,1,5,3,8,7,6,4]=>1001111=>7
[6,5,3,2,8,7,1,4]=>0101111=>7
[7,5,2,4,8,1,6,3]=>0001111=>7
[3,4,2,8,5,7,6,1]=>0010111=>7
[2,4,1,8,7,6,5,3]=>0011111=>7
[8,4,2,1,7,5,3,6]=>1011011=>7
[4,3,1,8,6,7,5,2]=>0111011=>7
[3,1,4,8,6,5,7,2]=>0100111=>7
[7,1,6,5,4,8,2,3]=>0001111=>7
[3,7,5,6,8,4,2,1]=>1010011=>7
[5,7,1,6,8,2,4,3]=>0010011=>7
[8,6,2,5,1,7,4,3]=>0011111=>7
[5,6,2,1,8,7,3,4]=>1000111=>7
[4,6,2,5,8,3,7,1]=>0000111=>7
[7,5,2,6,3,8,1,4]=>0001111=>7
[4,1,2,3,6,8,7,5]=>0010011=>7
[2,4,3,1,8,5,6,7]=>0110001=>7
[7,5,2,8,3,4,6,1]=>0001111=>7
[5,6,2,8,4,3,1,7]=>0110101=>7
[4,7,2,8,1,5,3,6]=>0001011=>7
[8,7,2,1,4,5,6,3]=>1000111=>7
[3,6,8,7,1,5,4,2]=>0011011=>7
[5,7,8,6,3,4,1,2]=>0010101=>7
[7,1,8,5,4,3,6,2]=>0011111=>7
[2,7,8,4,5,3,6,1]=>0001101=>7
[5,7,3,8,1,4,6,2]=>0000111=>7
[2,1,7,8,5,4,6,3]=>1001101=>7
[2,1,5,8,4,6,3,7]=>1000101=>7
[6,5,3,8,4,1,2,7]=>0011101=>7
[7,5,8,4,3,6,2,1]=>1010111=>7
[2,4,8,3,5,6,1,7]=>0000101=>7
[4,1,8,3,6,5,2,7]=>0011101=>7
[3,4,8,1,7,2,5,6]=>0000011=>7
[8,4,1,3,7,2,6,5]=>0010111=>7
[3,1,8,2,4,7,6,5]=>0100111=>7
[2,3,8,1,4,6,7,5]=>0000011=>7
[4,3,8,2,5,1,7,6]=>0011011=>7
[6,3,8,4,2,5,7,1]=>0010111=>7
[7,4,3,8,2,5,1,6]=>0011011=>7
[2,1,4,8,3,5,7,6]=>1000011=>7
[6,8,2,4,3,5,1,7]=>0011001=>7
[4,8,2,3,5,1,6,7]=>0001001=>7
[3,8,2,1,4,6,5,7]=>1000101=>7
[2,8,1,3,4,5,7,6]=>0000011=>7
[2,8,4,1,6,5,3,7]=>0011101=>7
[2,8,4,1,6,5,7,3]=>0010111=>7
[2,8,7,6,1,4,3,5]=>0010111=>7
[2,8,5,6,7,4,3,1]=>0110011=>7
[7,5,8,6,1,4,2,3]=>0010111=>7
[3,5,7,6,1,4,2,8]=>0010110=>7
[3,5,7,2,4,1,6,8]=>0010010=>7
[7,5,8,2,4,1,6,3]=>0010111=>7
[2,8,5,3,4,7,6,1]=>0001111=>7
[2,8,5,3,4,1,7,6]=>0011011=>7
[2,8,5,3,4,1,6,7]=>0011001=>7
[2,8,7,6,1,4,5,3]=>0001111=>7
[2,8,5,3,6,1,7,4]=>0001111=>7
[2,8,5,6,7,4,1,3]=>0010011=>7
[2,8,5,3,4,7,1,6]=>0001011=>7
[2,8,5,3,4,6,1,7]=>0001101=>7
[2,8,5,3,4,6,7,1]=>0001011=>7
[3,5,7,2,4,6,1,8]=>0000110=>7
[6,5,2,7,3,1,4,8]=>0101110=>7
[6,5,2,8,3,1,7,4]=>0101111=>7
[6,5,2,8,3,1,4,7]=>0101101=>7
[7,5,8,2,4,6,3,1]=>0100111=>7
[7,5,8,6,1,4,3,2]=>0110111=>7
[6,5,8,2,1,3,7,4]=>1000111=>7
[3,5,6,2,1,8,7,4]=>1000111=>7
[3,5,7,6,1,4,8,2]=>0000111=>7
[3,5,7,2,4,1,8,6]=>0010011=>7
[3,5,7,2,4,6,8,1]=>0000011=>7
[6,5,2,7,3,1,8,4]=>0101111=>7
[4,5,2,6,3,1,7,8]=>0101100=>7
[4,1,2,3,7,6,8,5]=>0010011=>7
[6,5,2,7,3,4,8,1]=>0001111=>7
[5,1,6,7,4,3,8,2]=>0011011=>7
[5,1,2,6,4,8,7,3]=>0001111=>7
[5,1,2,8,6,4,7,3]=>0001111=>7
[5,1,6,8,7,3,4,2]=>0011011=>7
[6,5,2,8,3,7,4,1]=>0011111=>7
[4,1,2,3,8,7,5,6]=>0010011=>7
[4,1,2,3,8,6,5,7]=>0010101=>7
[4,1,2,3,8,6,7,5]=>0010011=>7
[4,1,2,3,7,6,5,8]=>0010110=>7
[4,1,2,3,8,5,7,6]=>0010011=>7
[7,1,6,8,4,3,5,2]=>0011011=>7
[6,1,2,8,4,5,7,3]=>0000111=>7
[5,6,8,2,3,1,7,4]=>0100011=>7
[6,5,8,2,4,3,1,7]=>0110101=>7
[6,5,8,2,4,3,7,1]=>0010111=>7
[7,5,2,8,3,4,1,6]=>0011011=>7
[6,5,2,8,3,7,1,4]=>0001111=>7
[6,5,2,7,3,4,1,8]=>0011110=>7
[5,1,6,7,4,3,2,8]=>0111010=>7
[5,1,6,8,7,3,2,4]=>0101011=>7
[7,1,6,8,4,3,2,5]=>0110011=>7
[5,7,8,6,3,4,2,1]=>1010101=>7
[4,1,8,3,6,5,7,2]=>0010111=>7
[4,1,8,3,6,2,7,5]=>0010111=>7
[3,1,4,8,6,2,7,5]=>0100111=>7
[3,1,4,8,6,5,2,7]=>0101101=>7
[7,1,6,5,8,3,2,4]=>0100111=>7
[4,1,6,7,8,3,2,5]=>0110001=>7
[4,1,6,5,7,3,2,8]=>0110110=>7
[4,5,2,6,3,7,1,8]=>0001110=>7
[4,5,2,7,3,8,1,6]=>0001011=>7
[3,5,6,2,4,8,7,1]=>0000111=>7
[3,5,6,2,4,8,1,7]=>0000101=>7
[3,7,5,6,8,4,1,2]=>0010011=>7
[3,6,5,2,8,1,7,4]=>0001111=>7
[6,1,2,5,8,4,7,3]=>0000111=>7
[7,1,6,5,8,3,4,2]=>0010111=>7
[7,5,2,6,3,8,4,1]=>0011111=>7
[4,1,2,3,5,8,7,6]=>0010011=>7
[4,1,2,3,7,8,6,5]=>0010101=>7
[4,5,2,7,3,8,6,1]=>0001111=>7
[4,1,6,7,8,3,5,2]=>0011001=>7
[4,1,2,6,8,5,7,3]=>0010011=>7
[4,1,2,5,6,8,7,3]=>0010011=>7
[4,5,2,6,3,7,8,1]=>0001101=>7
[7,8,5,6,1,4,3,2]=>0110101=>7
[7,8,4,2,1,5,3,6]=>1011001=>7
[7,8,2,1,6,5,3,4]=>1001101=>7
[6,4,1,2,5,7,3,8]=>0010110=>7
[2,4,8,1,5,7,3,6]=>0000011=>7
[4,3,8,1,7,2,5,6]=>0010011=>7
[6,3,1,4,7,2,5,8]=>0100110=>7
[7,8,3,4,5,1,6,2]=>0001101=>7
[7,8,3,5,4,2,1,6]=>1011001=>7
[7,8,4,1,2,3,6,5]=>0010101=>7
[7,8,3,6,5,4,1,2]=>0011101=>7
[7,8,2,1,5,3,4,6]=>1001001=>7
[7,8,2,6,4,1,3,5]=>0010101=>7
[7,8,2,5,6,4,1,3]=>0010101=>7
[7,8,1,6,5,4,3,2]=>0111101=>7
[6,2,1,7,5,4,3,8]=>1011110=>7
[2,1,8,7,5,4,3,6]=>1011011=>7
[1,3,8,2,6,4,7,5]=>0000111=>7
[5,3,7,1,6,4,8,2]=>0001111=>7
[5,3,6,2,7,4,1,8]=>0011110=>7
[6,1,2,5,8,7,4,3]=>0010111=>7
[6,3,1,8,4,2,7,5]=>0110111=>7
[6,4,2,1,5,3,8,7]=>1011101=>7
[6,4,3,7,5,8,1,2]=>0010111=>7
[4,3,8,7,5,6,1,2]=>0010111=>7
[2,4,7,1,5,3,6,8]=>0001010=>7
[1,3,7,6,4,2,8,5]=>0010111=>7
[2,1,7,5,6,8,4,3]=>1010011=>7
[3,7,2,8,6,4,1,5]=>0010111=>7
[3,8,1,7,6,4,5,2]=>0001111=>7
[1,8,5,7,3,6,4,2]=>0010111=>7
[2,7,5,8,3,6,1,4]=>0000111=>7
[1,5,6,8,2,4,7,3]=>0000011=>7
[2,6,8,5,3,1,4,7]=>0101001=>7
[2,6,1,4,7,3,5,8]=>0000110=>7
[5,6,7,3,8,4,1,2]=>0010011=>7
[5,2,8,1,4,7,3,6]=>0001011=>7
[4,6,7,5,2,1,3,8]=>1001010=>7
[4,5,6,7,2,8,1,3]=>0000011=>7
[4,5,7,6,1,8,3,2]=>0100111=>7
[1,5,8,6,2,7,3,4]=>0000111=>7
[1,6,5,8,3,2,7,4]=>0100111=>7
[4,6,5,7,1,2,8,3]=>0000111=>7
[4,7,5,6,3,1,8,2]=>0100111=>7
[5,1,6,3,4,2,8,7]=>0011101=>7
[5,7,1,4,2,3,8,6]=>0010011=>7
[5,7,6,4,3,8,1,2]=>0010111=>7
[6,3,4,5,8,7,1,2]=>0000111=>7
[6,2,4,1,8,3,7,5]=>0010111=>7
[6,2,3,5,4,8,1,7]=>0001101=>7
[6,1,3,4,5,8,7,2]=>0000111=>7
[5,1,4,2,7,6,8,3]=>0011011=>7
[1,6,2,4,7,8,3,5]=>0000101=>7
[5,7,2,4,1,6,3,8]=>0010110=>7
[6,1,4,2,8,5,3,7]=>0011101=>7
[6,7,5,8,1,4,3,2]=>0110011=>7
[5,8,7,6,3,4,1,2]=>0010111=>7
[5,8,7,6,2,3,1,4]=>0100111=>7
[4,1,7,2,6,5,3,8]=>0011110=>7
[4,8,2,1,5,6,3,7]=>1000101=>7
[4,2,7,8,1,6,3,5]=>0010101=>7
[2,1,8,7,6,5,3,4]=>1001111=>7
[3,1,4,7,8,2,6,5]=>0100101=>7
[3,1,7,4,5,6,8,2]=>0100011=>7
[4,2,7,1,6,3,8,5]=>0010111=>7
[4,3,7,5,6,8,1,2]=>0010011=>7
[4,8,6,3,5,7,1,2]=>0000111=>7
[4,8,1,2,5,3,7,6]=>0001011=>7
[3,8,6,5,2,4,1,7]=>0011101=>7
[3,8,5,6,1,4,7,2]=>0000111=>7
[5,3,7,8,2,1,6,4]=>1001101=>7
[5,2,8,7,1,6,4,3]=>0011111=>7
[1,6,8,7,5,2,4,3]=>0011011=>7
[3,6,7,8,5,1,4,2]=>0011001=>7
[3,7,6,8,5,2,1,4]=>1001011=>7
[3,7,8,5,1,2,4,6]=>0001001=>7
[3,7,1,6,4,2,5,8]=>0010110=>7
[4,1,8,6,2,3,5,7]=>0010101=>7
[4,7,8,6,3,5,1,2]=>0001101=>7
[3,8,7,6,5,4,1,2]=>0011111=>7
[2,1,7,6,5,3,4,8]=>1001110=>7
[2,8,1,6,4,5,3,7]=>0001101=>7
[2,8,7,5,1,4,3,6]=>0011011=>7
[2,8,6,7,5,1,3,4]=>0001011=>7
[2,7,8,6,5,4,1,3]=>0011101=>7
[6,3,1,2,7,4,8,5]=>0100111=>7
[6,4,2,7,1,3,8,5]=>0010111=>7
[7,4,2,5,1,3,8,6]=>0011011=>7
[7,5,3,6,1,8,2,4]=>0001111=>7
[8,5,3,6,1,7,2,4]=>0001111=>7
[8,3,6,2,4,7,1,5]=>0000111=>7
[7,3,6,2,4,8,1,5]=>0000111=>7
[4,3,7,1,2,5,8,6]=>0010011=>7
[3,6,2,7,1,4,8,5]=>0000111=>7
[5,3,6,7,1,2,8,4]=>0001011=>7
[6,3,7,4,1,2,8,5]=>0010111=>7
[4,7,1,5,2,3,8,6]=>0001011=>7
[3,7,5,1,2,4,8,6]=>0001011=>7
[7,6,4,2,3,8,1,5]=>0010111=>7
[8,6,4,2,3,7,1,5]=>0010111=>7
[4,7,6,3,8,1,2,5]=>0000111=>7
[5,7,4,2,3,8,1,6]=>0010011=>7
[3,7,6,1,4,8,2,5]=>0000111=>7
[5,7,2,6,1,8,3,4]=>0000111=>7
[6,4,7,5,2,8,1,3]=>0001111=>7
[7,4,8,5,2,6,1,3]=>0001111=>7
[5,8,2,6,3,7,1,4]=>0000111=>7
[3,8,6,1,2,7,4,5]=>0000111=>7
[3,8,6,2,4,7,1,5]=>0000111=>7
[6,8,4,3,7,1,2,5]=>0010011=>7
[6,8,5,3,7,1,2,4]=>0001011=>7
[3,8,5,7,1,2,4,6]=>0000011=>7
[2,8,5,7,1,3,4,6]=>0000011=>7
[4,8,6,2,7,1,3,5]=>0000111=>7
[7,3,8,5,6,1,2,4]=>0000111=>7
[6,3,7,5,8,1,2,4]=>0000111=>7
[2,7,6,4,8,1,3,5]=>0000111=>7
[2,6,5,8,1,3,4,7]=>0000101=>7
[3,6,5,8,1,2,4,7]=>0000101=>7
[2,5,7,4,8,1,3,6]=>0000011=>7
[5,4,6,7,2,8,1,3]=>0001011=>7
[4,6,3,7,1,8,2,5]=>0000111=>7
[3,5,7,1,4,8,2,6]=>0000011=>7
[5,3,7,2,4,8,1,6]=>0001011=>7
[5,4,7,3,8,1,2,6]=>0001011=>7
[7,4,6,3,8,1,2,5]=>0000111=>7
[8,4,6,3,7,1,2,5]=>0000111=>7
[8,4,1,6,7,2,3,5]=>0010011=>7
[7,4,1,6,8,2,3,5]=>0010011=>7
[5,4,1,7,8,2,3,6]=>0011001=>7
[6,5,3,7,1,8,2,4]=>0001111=>7
[6,5,1,2,7,8,3,4]=>0001101=>7
[5,3,6,4,7,8,1,2]=>0001101=>7
[6,3,7,4,8,5,1,2]=>0001111=>7
[4,7,1,5,8,6,2,3]=>0000111=>7
[7,5,1,2,8,6,3,4]=>0001111=>7
[7,5,3,8,1,6,2,4]=>0001111=>7
[7,4,1,8,6,2,3,5]=>0010111=>7
[7,6,1,8,5,2,3,4]=>0001111=>7
[8,6,1,7,5,2,3,4]=>0001111=>7
[5,7,2,8,1,6,3,4]=>0000111=>7
[6,4,7,8,2,5,1,3]=>0001101=>7
[6,3,7,8,5,1,2,4]=>0001101=>7
[3,6,8,2,7,1,4,5]=>0000011=>7
[2,4,8,7,1,3,5,6]=>0000011=>7
[4,3,8,7,1,2,5,6]=>0010011=>7
[5,3,8,7,1,2,4,6]=>0001011=>7
[8,3,7,6,1,2,4,5]=>0000111=>7
[8,4,7,6,1,2,3,5]=>0000111=>7
[5,4,8,7,1,2,3,6]=>0001011=>7
[3,5,8,7,1,2,4,6]=>0000011=>7
[2,5,8,7,1,3,4,6]=>0000011=>7
[4,6,8,2,7,1,3,5]=>0000011=>7
[4,7,1,8,6,2,3,5]=>0000111=>7
[7,5,8,6,4,1,2,3]=>0010111=>7
[6,8,4,7,5,1,2,3]=>0001011=>7
[5,8,7,1,6,2,3,4]=>0000111=>7
[2,8,7,6,1,3,4,5]=>0000111=>7
[3,8,7,6,1,2,4,5]=>0000111=>7
[4,8,7,6,1,2,3,5]=>0000111=>7
[5,6,3,1,4,2,8,7]=>0110101=>7
[7,5,3,8,2,1,6,4]=>1001111=>7
[3,8,7,4,5,1,6,2]=>0001111=>7
[6,7,1,4,5,8,2,3]=>0000011=>7
[2,1,7,8,5,3,6,4]=>1001101=>7
[5,7,3,8,1,2,6,4]=>0000111=>7
[8,7,1,4,5,3,2,6]=>0101011=>7
[2,7,8,4,1,6,5,3]=>0011101=>7
[7,1,8,4,2,6,5,3]=>0011111=>7
[7,5,1,4,8,6,3,2]=>0101111=>7
[6,5,3,1,8,4,7,2]=>0101111=>7
[6,4,3,8,1,5,7,2]=>0010111=>7
[8,6,3,1,2,5,7,4]=>0100111=>7
[8,7,1,4,2,6,5,3]=>0011111=>7
[7,3,8,4,1,6,5,2]=>0011111=>7
[2,3,4,5,6,7,8,1,9]=>00000010=>8
[2,3,4,5,6,8,9,1,7]=>00000001=>8
[2,3,4,5,7,8,9,1,6]=>00000001=>8
[2,3,4,6,7,8,9,1,5]=>00000001=>8
[2,3,5,6,7,8,9,1,4]=>00000001=>8
[2,4,5,6,7,8,9,1,3]=>00000001=>8
[3,4,5,6,7,8,9,1,2]=>00000001=>8
[2,3,4,5,6,7,8,9,10,1]=>000000001=>9
[2,3,4,5,6,7,8,9,1,10]=>000000010=>9
[2,3,4,5,6,7,1,8,9]=>00000100=>8
[2,3,4,5,6,7,8,10,1,9]=>000000001=>9
[2,3,4,5,6,1,9,7,8]=>00001001=>8
[2,3,4,5,6,7,9,10,1,8]=>000000001=>9
[2,3,4,5,1,8,9,6,7]=>00010001=>4
[2,3,4,5,6,8,9,10,1,7]=>000000001=>9
[2,3,4,1,7,8,9,5,6]=>00100001=>8
[2,3,4,5,7,8,9,10,1,6]=>000000001=>9
[2,3,1,6,7,8,9,4,5]=>01000001=>8
[2,3,4,6,7,8,9,10,1,5]=>000000001=>9
[2,1,5,6,7,8,9,3,4]=>10000001=>8
[2,3,5,6,7,8,9,10,1,4]=>000000001=>9
[1,4,5,6,7,8,9,2,3]=>00000001=>8
[2,4,5,6,7,8,9,10,1,3]=>000000001=>9
[3,4,5,6,7,8,9,10,1,2]=>000000001=>9
[3,6,4,5,7,2,8,1]=>0000111=>7
[5,3,2,7,4,6,8,1]=>0101011=>7
[7,5,3,6,2,4,8,1]=>0001111=>7
[6,3,2,5,1,8,4,7]=>0101101=>7
[8,5,3,6,2,7,1,4]=>0001111=>7
[8,2,6,3,4,7,1,5]=>0000111=>7
[7,2,6,3,4,5,8,1]=>0000111=>7
[6,2,7,3,4,5,8,1]=>0000111=>7
[3,6,2,7,4,5,8,1]=>0000111=>7
[4,2,5,7,3,6,8,1]=>0010011=>7
[5,4,7,6,2,3,8,1]=>0001111=>7
[6,7,3,5,2,4,8,1]=>0001011=>7
[3,7,6,2,4,5,8,1]=>0000111=>7
[2,7,6,3,4,5,8,1]=>0000111=>7
[6,5,3,1,2,8,4,7]=>0101101=>7
[8,6,5,2,3,7,1,4]=>0001111=>7
[8,5,2,1,7,3,4,6]=>1001011=>7
[7,5,2,1,8,3,4,6]=>1001011=>7
[1,6,3,2,8,4,5,7]=>0100101=>7
[5,7,3,1,2,8,4,6]=>0100011=>7
[5,6,2,3,1,8,4,7]=>0100101=>7
[4,2,6,5,1,8,3,7]=>0011101=>7
[5,4,8,6,2,7,1,3]=>0001111=>7
[6,8,3,5,2,7,1,4]=>0001011=>7
[7,8,5,2,3,6,1,4]=>0001101=>7
[6,8,2,1,7,3,4,5]=>1000011=>7
[1,8,6,3,7,2,4,5]=>0000111=>7
[1,8,2,7,3,4,5,6]=>0000011=>7
[2,8,1,7,3,4,5,6]=>0000011=>7
[3,8,6,1,7,2,4,5]=>0000111=>7
[4,8,1,5,7,2,3,6]=>0000011=>7
[4,2,8,3,7,1,5,6]=>0010011=>7
[4,1,7,5,8,2,3,6]=>0010011=>7
[1,7,3,8,2,4,5,6]=>0000011=>7
[8,1,2,7,3,4,5,6]=>0000011=>7
[4,2,5,7,1,8,3,6]=>0010011=>7
[3,6,2,7,1,8,4,5]=>0000111=>7
[6,3,7,1,2,8,4,5]=>0000111=>7
[7,2,6,1,8,3,4,5]=>0000111=>7
[8,2,6,1,7,3,4,5]=>0000111=>7
[7,3,1,5,8,2,4,6]=>0100011=>7
[3,2,1,5,8,4,6,7]=>1100001=>7
[5,4,1,3,6,8,2,7]=>0011001=>7
[1,5,3,4,6,8,2,7]=>0001001=>7
[4,3,5,1,6,8,2,7]=>0011001=>7
[5,4,6,3,8,7,1,2]=>0001111=>7
[3,6,4,5,8,7,1,2]=>0000111=>7
[6,5,3,4,8,7,1,2]=>0001111=>7
[5,3,2,8,7,1,4,6]=>0101011=>7
[5,3,1,8,7,2,4,6]=>0101011=>7
[8,5,3,7,6,1,2,4]=>0001111=>7
[6,1,8,3,7,2,4,5]=>0000111=>7
[6,3,8,1,7,2,4,5]=>0000111=>7
[7,6,8,2,3,5,1,4]=>0001011=>7
[3,7,8,2,4,6,1,5]=>0000101=>7
[6,7,3,8,2,5,1,4]=>0001011=>7
[5,4,7,8,2,6,1,3]=>0001101=>7
[4,2,5,8,7,1,3,6]=>0010011=>7
[3,6,2,8,7,1,4,5]=>0000111=>7
[3,7,8,1,6,2,4,5]=>0000101=>7
[2,3,8,7,1,4,5,6]=>0000011=>7
[7,2,8,6,1,3,4,5]=>0000111=>7
[2,1,8,7,3,4,5,6]=>1000011=>7
[8,2,7,6,1,3,4,5]=>0000111=>7
[1,2,8,7,3,4,5,6]=>0000011=>7
[1,3,8,7,2,4,5,6]=>0000011=>7
[1,7,8,3,6,2,4,5]=>0000101=>7
[4,1,5,8,7,2,3,6]=>0010011=>7
[5,4,8,7,6,1,2,3]=>0001111=>7
[6,8,3,7,5,1,2,4]=>0001011=>7
[7,8,6,2,5,1,3,4]=>0001101=>7
[8,1,6,7,3,2,5,4]=>0101011=>7
[8,1,6,7,3,2,4,5]=>0100011=>7
[8,1,5,3,7,2,4,6]=>0001011=>7
[8,1,5,3,6,2,4,7]=>0001101=>7
[7,5,1,3,6,2,4,8]=>0001110=>7
[7,5,8,3,6,2,4,1]=>0010111=>7
[7,4,8,3,2,6,5,1]=>0101111=>7
[7,4,1,3,2,6,5,8]=>0110110=>7
[8,1,4,3,2,6,5,7]=>0110101=>7
[8,1,4,3,2,7,5,6]=>0110011=>7
[8,1,4,3,2,7,6,5]=>0110111=>7
[8,1,5,4,6,7,2,3]=>0001011=>7
[8,1,5,3,6,2,7,4]=>0001111=>7
[8,1,4,3,2,6,7,5]=>0110011=>7
[8,1,4,3,2,5,7,6]=>0110011=>7
[8,1,4,3,2,5,6,7]=>0110001=>7
[7,4,1,3,2,5,6,8]=>0110010=>7
[7,4,8,3,2,5,6,1]=>0100111=>7
[6,4,3,8,2,5,7,1]=>0010111=>7
[6,4,3,1,2,5,8,7]=>0110101=>7
[7,4,1,3,2,5,8,6]=>0110011=>7
[7,4,1,3,2,6,8,5]=>0110011=>7
[7,5,1,3,6,2,8,4]=>0001111=>7
[7,5,1,4,6,8,2,3]=>0001011=>7
[7,5,8,3,6,2,1,4]=>1000111=>7
[7,4,8,3,2,6,1,5]=>0100111=>7
[7,4,8,3,2,5,1,6]=>0101011=>7
[6,4,3,8,2,5,1,7]=>0011101=>7
[6,4,3,7,2,5,8,1]=>0010111=>7
[5,4,3,2,8,6,1,7]=>0111101=>7
[5,4,3,2,8,7,1,6]=>0111011=>7
[6,5,3,8,7,2,1,4]=>1001111=>7
[6,5,4,8,7,1,2,3]=>0001111=>7
[6,5,4,1,7,8,2,3]=>0011101=>7
[6,5,3,1,7,2,8,4]=>0101111=>7
[6,4,3,1,2,7,8,5]=>0110101=>7
[5,4,3,2,1,8,6,7]=>1111001=>7
[6,5,3,1,8,2,7,4]=>0101111=>7
[6,5,4,1,8,7,2,3]=>0011111=>7
[7,5,1,4,8,6,2,3]=>0001111=>7
[7,4,1,3,2,8,6,5]=>0110111=>7
[7,4,1,3,2,8,5,6]=>0110011=>7
[6,4,3,1,2,8,5,7]=>0110101=>7
[6,4,3,1,2,7,5,8]=>0110110=>7
[6,4,3,8,2,7,5,1]=>0011111=>7
[6,5,3,8,7,2,4,1]=>0011111=>7
[6,5,3,1,7,2,4,8]=>0101110=>7
[6,5,3,1,8,2,4,7]=>0101101=>7
[7,5,1,3,8,2,4,6]=>0001011=>7
[7,6,1,8,3,2,4,5]=>0100111=>7
[7,6,1,8,4,5,2,3]=>0001111=>7
[7,6,8,1,4,5,2,3]=>0001011=>7
[7,6,8,1,3,2,5,4]=>0101011=>7
[6,5,3,7,8,2,4,1]=>0011101=>7
[6,4,3,7,2,8,5,1]=>0011111=>7
[6,4,3,7,2,1,5,8]=>1010110=>7
[7,4,8,3,2,1,5,6]=>1100011=>7
[7,4,8,3,2,1,6,5]=>1100111=>7
[7,5,8,3,1,2,6,4]=>0100111=>7
[7,5,8,4,1,6,2,3]=>0010111=>7
[6,5,4,8,1,7,2,3]=>0001111=>7
[6,5,3,8,1,2,7,4]=>0001111=>7
[5,4,3,2,8,1,7,6]=>0111011=>7
[6,4,3,7,2,1,8,5]=>1010111=>7
[6,5,3,7,1,2,8,4]=>0001111=>7
[6,5,4,7,1,8,2,3]=>0001111=>7
[6,5,3,7,8,2,1,4]=>1001101=>7
[6,4,3,7,2,8,1,5]=>0010111=>7
[5,4,3,2,7,8,1,6]=>0111001=>7
[5,4,3,2,6,8,1,7]=>0111001=>7
[5,6,2,1,3,4,8,7]=>1000101=>7
[5,8,2,7,4,1,3,6]=>0010011=>7
[5,3,7,8,2,1,4,6]=>1001001=>7
[7,6,1,2,5,8,3,4]=>0000111=>7
[2,1,7,8,4,3,5,6]=>1010001=>7
[8,3,7,4,1,5,6,2]=>0010111=>7
[7,8,1,2,5,4,6,3]=>0001101=>7
[2,6,8,3,1,4,7,5]=>0100011=>7
[6,1,8,3,2,4,5,7]=>0100101=>7
[8,4,1,3,7,6,2,5]=>0010111=>7
[5,8,7,4,2,1,6,3]=>1010111=>7
[7,5,1,6,8,3,4,2]=>0011011=>7
[6,5,2,1,8,7,4,3]=>1011111=>7
[4,7,2,8,1,3,6,5]=>0000111=>7
[7,3,8,6,1,2,5,4]=>0001111=>7
[3,4,7,1,8,2,6,5]=>0000111=>7
[1,8,2,4,3,5,6,7]=>0010001=>7
[1,7,2,4,3,5,6,8]=>0010010=>7
[1,6,2,4,3,5,7,8]=>0010100=>7
[1,5,2,4,3,6,7,8]=>0011000=>7
[1,6,2,5,3,4,7,8]=>0001100=>7
[1,7,2,5,3,4,6,8]=>0001010=>7
[1,8,2,5,3,4,6,7]=>0001001=>7
[1,8,2,6,3,4,5,7]=>0000101=>7
[1,7,2,6,3,4,5,8]=>0000110=>7
[1,8,2,7,3,5,4,6]=>0001011=>7
[1,7,2,8,3,5,4,6]=>0001011=>7
[1,6,2,8,3,5,4,7]=>0001101=>7
[1,5,2,8,3,6,4,7]=>0001101=>7
[1,4,2,8,3,6,5,7]=>0010101=>7
[1,3,2,8,4,6,5,7]=>0100101=>7
[1,2,3,8,4,6,5,7]=>0000101=>7
[1,2,3,7,4,6,5,8]=>0000110=>7
[1,3,2,7,4,6,5,8]=>0100110=>7
[1,4,2,7,3,6,5,8]=>0010110=>7
[1,5,2,7,3,6,4,8]=>0001110=>7
[1,6,2,7,3,5,4,8]=>0001110=>7
[1,7,2,6,3,5,4,8]=>0001110=>7
[1,8,2,6,3,5,4,7]=>0001101=>7
[1,8,2,5,3,6,4,7]=>0001101=>7
[1,7,2,5,3,6,4,8]=>0001110=>7
[1,6,2,5,3,7,4,8]=>0001110=>7
[1,5,2,4,3,7,6,8]=>0011010=>7
[1,6,2,4,3,7,5,8]=>0010110=>7
[1,7,2,4,3,6,5,8]=>0010110=>7
[1,8,2,4,3,6,5,7]=>0010101=>7
[1,8,2,3,4,6,5,7]=>0000101=>7
[1,7,2,3,4,6,5,8]=>0000110=>7
[1,8,2,3,4,7,5,6]=>0000011=>7
[1,8,2,4,3,7,5,6]=>0010011=>7
[1,7,2,4,3,8,5,6]=>0010011=>7
[1,6,2,4,3,8,5,7]=>0010101=>7
[1,5,2,4,3,8,6,7]=>0011001=>7
[1,6,2,5,3,8,4,7]=>0001101=>7
[1,7,2,5,3,8,4,6]=>0001011=>7
[1,8,2,5,3,7,4,6]=>0001011=>7
[1,8,2,6,3,7,4,5]=>0000111=>7
[1,7,2,6,3,8,4,5]=>0000111=>7
[1,2,3,8,4,7,5,6]=>0000011=>7
[1,3,2,8,4,7,5,6]=>0100011=>7
[1,4,2,8,3,7,5,6]=>0010011=>7
[1,5,2,8,3,7,4,6]=>0001011=>7
[1,6,2,8,3,7,4,5]=>0000111=>7
[1,7,2,8,3,6,4,5]=>0000111=>7
[1,8,2,7,3,6,4,5]=>0000111=>7
[4,6,3,7,2,5,1,8]=>0001110=>7
[4,6,3,7,5,2,1,8]=>1001110=>7
[4,6,3,8,5,1,7,2]=>0001111=>7
[4,6,3,8,5,1,2,7]=>0001101=>7
[5,6,8,3,4,1,2,7]=>0010001=>7
[5,6,8,3,4,1,7,2]=>0010011=>7
[4,6,2,7,5,3,1,8]=>0101110=>7
[5,6,7,2,4,3,1,8]=>0110010=>7
[5,6,8,4,3,1,7,2]=>0110011=>7
[5,6,8,4,3,1,2,7]=>0110001=>7
[5,7,8,4,1,6,2,3]=>0010101=>7
[5,7,8,4,1,6,3,2]=>0110101=>7
[5,7,8,4,1,3,6,2]=>0010101=>7
[5,6,8,4,2,1,7,3]=>1010011=>7
[5,6,8,2,4,1,7,3]=>0010011=>7
[4,6,2,8,5,1,7,3]=>0001111=>7
[3,2,6,8,5,1,7,4]=>0101011=>7
[3,2,6,8,5,1,4,7]=>0101001=>7
[4,6,2,8,5,1,3,7]=>0001101=>7
[5,6,8,2,4,1,3,7]=>0010001=>7
[5,6,8,4,2,1,3,7]=>1010001=>7
[5,7,8,4,1,3,2,6]=>0110001=>7
[5,7,8,4,1,2,6,3]=>0010101=>7
[5,7,8,4,1,2,3,6]=>0010001=>7
[6,7,8,1,5,2,3,4]=>0001001=>7
[6,7,8,1,5,2,4,3]=>0011001=>7
[6,7,8,1,5,3,2,4]=>0101001=>7
[6,7,8,1,3,5,2,4]=>0001001=>7
[5,7,8,2,1,6,3,4]=>1000101=>7
[4,7,2,8,1,6,3,5]=>0000111=>7
[3,2,7,8,1,6,4,5]=>0100101=>7
[3,2,7,8,1,6,5,4]=>0101101=>7
[4,7,2,8,1,6,5,3]=>0001111=>7
[5,7,8,2,1,6,4,3]=>1010101=>7
[6,7,8,1,3,5,4,2]=>0011001=>7
[6,7,8,1,5,3,4,2]=>0011001=>7
[6,7,8,1,5,4,3,2]=>0111001=>7
[6,7,8,1,5,4,2,3]=>0011001=>7
[6,7,8,1,4,5,2,3]=>0001001=>7
[6,7,8,1,4,5,3,2]=>0101001=>7
[6,7,8,1,4,3,5,2]=>0011001=>7
[6,7,8,1,3,4,5,2]=>0001001=>7
[5,7,8,2,1,4,6,3]=>1000101=>7
[4,7,2,8,1,5,6,3]=>0000111=>7
[3,2,7,8,1,5,6,4]=>0100101=>7
[3,2,6,8,4,1,7,5]=>0110011=>7
[4,6,2,8,3,1,7,5]=>0100111=>7
[5,6,8,3,2,1,7,4]=>1100011=>7
[5,7,8,3,1,4,6,2]=>0100101=>7
[5,7,8,3,1,6,4,2]=>0110101=>7
[5,7,8,3,1,6,2,4]=>0100101=>7
[4,7,3,8,1,6,2,5]=>0000111=>7
[4,7,3,8,1,6,5,2]=>0001111=>7
[4,7,3,8,1,5,6,2]=>0000111=>7
[4,6,3,8,2,1,7,5]=>1000111=>7
[4,5,3,2,8,1,7,6]=>0101011=>7
[4,5,2,3,8,1,7,6]=>0001011=>7
[3,2,5,4,8,1,7,6]=>0101011=>7
[4,5,3,2,8,1,6,7]=>0101001=>7
[4,6,3,8,2,1,5,7]=>1000101=>7
[4,7,3,8,1,5,2,6]=>0001011=>7
[4,7,3,8,1,2,6,5]=>0000111=>7
[4,7,3,8,1,2,5,6]=>0000011=>7
[5,7,8,3,1,2,4,6]=>0100001=>7
[5,7,8,3,1,2,6,4]=>0100101=>7
[5,7,8,3,1,4,2,6]=>0110001=>7
[5,6,8,3,2,1,4,7]=>1100001=>7
[3,2,7,8,1,5,4,6]=>0101001=>7
[5,7,8,2,1,4,3,6]=>1010001=>7
[6,7,8,1,3,4,2,5]=>0010001=>7
[6,7,8,1,4,3,2,5]=>0110001=>7
[6,7,8,1,4,2,5,3]=>0011001=>7
[6,7,8,1,4,2,3,5]=>0010001=>7
[6,7,8,1,2,5,3,4]=>0001001=>7
[6,7,8,1,2,5,4,3]=>0011001=>7
[6,7,8,1,2,4,5,3]=>0001001=>7
[6,7,8,1,3,2,5,4]=>0101001=>7
[5,7,8,2,1,3,6,4]=>1000101=>7
[3,2,7,8,1,4,6,5]=>0100101=>7
[6,7,8,1,3,2,4,5]=>0100001=>7
[6,7,8,1,2,4,3,5]=>0010001=>7
[6,7,8,1,2,3,5,4]=>0001001=>7
[7,2,8,5,1,6,4,3]=>0011111=>7
[1,3,7,5,2,6,4,8]=>0001110=>7
[1,3,7,5,4,2,6,8]=>0011010=>7
[7,2,8,5,4,1,6,3]=>0011111=>7
[2,8,5,4,3,1,7,6]=>0111011=>7
[2,8,4,5,6,1,7,3]=>0000111=>7
[2,8,6,5,7,3,1,4]=>0100111=>7
[2,8,4,5,3,7,1,6]=>0001011=>7
[2,8,4,3,5,6,1,7]=>0010101=>7
[7,2,8,4,5,6,1,3]=>0000111=>7
[1,6,3,7,5,2,4,8]=>0001110=>7
[6,2,3,8,5,1,7,4]=>0001111=>7
[6,3,2,8,5,1,4,7]=>0101101=>7
[7,4,8,2,5,6,3,1]=>0100111=>7
[7,4,8,5,2,1,3,6]=>1001011=>7
[6,4,8,5,1,3,7,2]=>0001111=>7
[6,3,7,5,2,1,8,4]=>1001111=>7
[4,3,7,5,1,2,8,6]=>0011011=>7
[4,3,7,1,5,6,8,2]=>0010011=>7
[3,6,1,7,5,2,8,4]=>0001111=>7
[3,4,1,2,7,6,8,5]=>0010011=>7
[3,4,2,1,7,5,8,6]=>1010011=>7
[3,6,5,7,1,4,8,2]=>0000111=>7
[6,5,2,7,4,1,8,3]=>0011111=>7
[3,5,2,6,4,8,7,1]=>0001111=>7
[5,3,1,8,6,4,7,2]=>0101111=>7
[5,6,1,8,7,2,4,3]=>0010111=>7
[6,3,5,8,2,7,4,1]=>0010111=>7
[6,5,8,4,2,3,7,1]=>0010111=>7
[6,2,5,8,3,7,1,4]=>0000111=>7
[1,6,5,7,3,4,2,8]=>0010110=>7
[1,5,2,7,4,6,3,8]=>0001110=>7
[5,2,1,8,7,6,3,4]=>1001111=>7
[7,1,3,8,4,6,2,5]=>0000111=>7
[2,3,4,8,6,1,7,5]=>0000111=>7
[2,3,4,8,6,5,1,7]=>0001101=>7
[2,7,3,5,8,6,1,4]=>0000111=>7
[3,2,4,7,8,6,1,5]=>0100101=>7
[1,5,4,6,2,7,3,8]=>0001110=>7
[5,2,4,7,1,8,3,6]=>0001011=>7
[5,3,6,4,1,8,7,2]=>0011111=>7
[5,3,6,1,4,8,2,7]=>0001101=>7
[7,3,5,6,8,4,2,1]=>1010011=>7
[6,3,5,1,8,2,7,4]=>0001111=>7
[2,6,1,5,8,4,7,3]=>0000111=>7
[2,7,6,5,8,3,4,1]=>0010111=>7
[5,7,1,6,3,8,4,2]=>0010111=>7
[3,2,4,1,7,8,5,6]=>0110001=>7
[3,1,4,2,7,8,6,5]=>0110101=>7
[5,1,4,7,2,8,6,3]=>0001111=>7
[3,6,4,7,8,2,5,1]=>0001101=>7
[3,1,4,6,8,5,7,2]=>0100011=>7
[6,3,4,5,7,1,8,2]=>0000111=>7
[2,5,4,6,1,7,8,3]=>0001101=>7
[7,2,1,4,3,6,5,8]=>1010110=>7
[7,3,4,1,2,6,5,8]=>0010110=>7
[7,4,3,2,1,6,5,8]=>1110110=>7
[7,6,3,2,5,4,1,8]=>0111110=>7
[6,7,3,2,5,4,8,1]=>0101011=>7
[1,8,3,2,5,4,7,6]=>0101011=>7
[1,8,4,5,2,3,7,6]=>0001011=>7
[7,3,5,1,6,2,4,8]=>0001110=>7
[7,2,1,5,6,3,4,8]=>1000110=>7
[7,2,1,6,5,4,3,8]=>1011110=>7
[7,3,6,1,5,4,2,8]=>0011110=>7
[7,4,6,5,1,3,2,8]=>0101110=>7
[1,8,5,4,3,2,7,6]=>0111011=>7
[1,8,6,4,3,7,2,5]=>0010111=>7
[6,5,7,4,3,1,8,2]=>0110111=>7
[6,4,7,5,1,3,8,2]=>0001111=>7
[6,3,7,1,5,4,8,2]=>0001111=>7
[6,2,1,7,5,4,8,3]=>1001111=>7
[3,2,1,8,5,4,7,6]=>1101011=>7
[2,3,8,1,5,4,7,6]=>0001011=>7
[2,4,8,5,1,3,7,6]=>0001011=>7
[2,5,8,4,3,1,7,6]=>0110011=>7
[2,6,8,4,3,7,1,5]=>0010011=>7
[2,7,8,4,3,6,5,1]=>0011101=>7
[1,8,7,4,3,6,5,2]=>0011111=>7
[1,8,7,5,6,3,4,2]=>0010111=>7
[2,7,8,5,6,3,4,1]=>0010101=>7
[2,6,8,5,7,3,1,4]=>0100011=>7
[2,5,8,6,7,1,3,4]=>0000011=>7
[2,4,8,6,1,7,3,5]=>0000111=>7
[3,2,1,8,6,7,4,5]=>1100011=>7
[5,2,1,7,6,8,4,3]=>1011011=>7
[5,3,7,1,6,8,4,2]=>0011011=>7
[5,4,7,6,1,8,3,2]=>0101111=>7
[4,5,7,6,8,1,3,2]=>0100011=>7
[4,6,7,5,8,3,1,2]=>0100011=>7
[1,8,6,5,7,3,2,4]=>0100111=>7
[1,8,5,6,7,2,3,4]=>0000011=>7
[4,7,5,6,8,2,3,1]=>0100011=>7
[4,6,5,7,8,2,1,3]=>1000101=>7
[5,4,6,7,1,8,2,3]=>0001011=>7
[5,3,6,1,7,8,2,4]=>0001101=>7
[5,2,1,6,7,8,3,4]=>1001001=>7
[6,2,1,5,7,3,8,4]=>1000111=>7
[6,3,5,1,7,2,8,4]=>0001111=>7
[6,4,5,7,1,2,8,3]=>0000111=>7
[6,5,4,7,2,1,8,3]=>1001111=>7
[5,6,4,7,2,8,1,3]=>0000111=>7
[1,8,4,6,2,7,3,5]=>0000111=>7
[1,8,3,2,6,7,4,5]=>0100011=>7
[5,7,3,2,6,8,4,1]=>0110011=>7
[5,6,3,2,7,8,1,4]=>0100101=>7
[6,5,3,2,7,1,8,4]=>0101111=>7
[6,4,3,2,1,7,8,5]=>1110101=>7
[6,2,1,4,3,7,8,5]=>1010101=>7
[5,2,1,4,3,8,7,6]=>1011011=>7
[5,3,4,1,2,8,7,6]=>0011011=>7
[4,6,3,2,8,7,1,5]=>0100111=>7
[4,7,3,2,8,6,5,1]=>0101111=>7
[1,8,3,2,7,6,5,4]=>0101111=>7
[1,8,4,7,2,6,5,3]=>0001111=>7
[3,7,4,8,2,6,5,1]=>0001111=>7
[3,6,4,8,2,7,1,5]=>0000111=>7
[3,5,4,8,2,1,7,6]=>1001011=>7
[3,4,5,8,1,2,7,6]=>0000011=>7
[4,3,5,1,8,2,7,6]=>0011011=>7
[4,2,1,5,8,3,7,6]=>1010011=>7
[4,2,1,6,8,7,3,5]=>1010011=>7
[4,3,6,1,8,7,2,5]=>0010111=>7
[3,4,6,8,1,7,2,5]=>0000011=>7
[3,5,6,8,7,1,2,4]=>0000011=>7
[3,6,5,8,7,2,1,4]=>1000111=>7
[3,7,5,8,6,2,4,1]=>0010111=>7
[1,8,5,7,6,2,4,3]=>0010111=>7
[1,8,6,7,5,4,2,3]=>0011011=>7
[3,6,7,8,5,4,1,2]=>0011001=>7
[3,5,7,8,6,1,4,2]=>0010101=>7
[3,4,7,8,1,6,5,2]=>0001101=>7
[4,2,1,7,8,6,5,3]=>1011101=>7
[2,3,8,1,7,6,5,4]=>0001111=>7
[2,4,8,7,1,6,5,3]=>0001111=>7
[2,5,8,7,6,1,4,3]=>0010111=>7
[2,6,8,7,5,4,1,3]=>0011011=>7
[7,4,6,1,8,3,5,2]=>0001111=>7
[8,3,5,1,7,4,6,2]=>0001111=>7
[8,3,4,1,7,5,6,2]=>0010111=>7
[4,8,3,1,7,5,6,2]=>0100111=>7
[4,6,2,1,7,5,8,3]=>1000111=>7
[1,4,6,2,7,5,8,3]=>0000111=>7
[1,7,5,2,6,8,4,3]=>0011011=>7
[7,5,2,1,6,8,4,3]=>1011011=>7
[6,8,4,3,1,7,5,2]=>0111011=>7
[3,6,8,4,1,7,5,2]=>0011011=>7
[3,6,7,5,1,8,4,2]=>0011011=>7
[7,5,6,1,8,3,4,2]=>0010111=>7
[3,4,6,5,7,1,8,2]=>0000111=>7
[4,7,5,6,1,8,3,2]=>0100111=>7
[6,7,5,1,8,4,3,2]=>0111011=>7
[6,8,4,1,7,5,3,2]=>0111011=>7
[6,7,5,3,1,8,4,2]=>0111011=>7
[8,4,2,1,6,7,5,3]=>1011011=>7
[1,8,4,2,6,7,5,3]=>0011011=>7
[1,5,3,2,7,6,8,4]=>0101011=>7
[5,3,2,1,7,6,8,4]=>1101011=>7
[2,5,3,1,7,6,8,4]=>0101011=>7
[2,8,4,1,6,7,5,3]=>0011011=>7
[2,7,5,1,6,8,4,3]=>0011011=>7
[2,4,6,1,7,5,8,3]=>0000111=>7
[4,7,1,6,5,8,2,3]=>0000111=>7
[4,8,2,6,5,7,1,3]=>0000111=>7
[4,6,1,2,7,5,8,3]=>0000111=>7
[7,5,1,2,6,8,4,3]=>0011011=>7
[8,4,1,2,6,7,5,3]=>0011011=>7
[5,3,1,2,7,6,8,4]=>0101011=>7
[1,2,5,3,7,6,8,4]=>0001011=>7
[4,3,1,2,7,6,8,5]=>0110011=>7
[3,5,1,2,7,6,8,4]=>0001011=>7
[6,7,1,5,8,2,3,4]=>0000011=>7
[2,7,6,1,5,8,3,4]=>0000111=>7
[2,3,5,1,7,6,8,4]=>0001011=>7
[7,6,1,5,8,3,2,4]=>0100111=>7
[3,6,7,1,5,8,2,4]=>0000011=>7
[7,1,6,5,8,2,4,3]=>0010111=>7
[7,5,1,6,8,4,2,3]=>0011011=>7
[8,4,1,6,7,5,2,3]=>0011011=>7
[5,2,3,1,7,6,8,4]=>0101011=>7
[3,5,2,1,7,6,8,4]=>1001011=>7
[1,3,5,2,7,6,8,4]=>0001011=>7
[1,7,6,2,5,8,3,4]=>0000111=>7
[7,6,2,1,5,8,3,4]=>1000111=>7
[8,3,1,5,7,6,2,4]=>0100111=>7
[6,2,4,1,7,5,8,3]=>0010111=>7
[6,2,5,1,7,4,8,3]=>0001111=>7
[7,1,6,4,8,2,5,3]=>0001111=>7
[8,2,6,4,7,1,5,3]=>0001111=>7
[6,1,5,2,7,4,8,3]=>0001111=>7
[7,6,2,5,8,3,1,4]=>0100111=>7
[8,3,5,7,6,2,1,4]=>1000111=>7
[1,8,3,5,7,6,2,4]=>0000111=>7
[1,5,2,3,7,6,8,4]=>0001011=>7
[5,2,1,3,7,6,8,4]=>1001011=>7
[7,5,2,6,8,4,1,3]=>0011011=>7
[8,4,2,6,7,5,1,3]=>0011011=>7
[6,1,4,2,7,5,8,3]=>0010111=>7
[8,2,6,5,7,1,4,3]=>0010111=>7
[3,6,8,2,5,7,1,4]=>0000011=>7
[8,3,2,5,7,6,1,4]=>0100111=>7
[5,1,3,2,7,6,8,4]=>0101011=>7
[4,1,3,2,7,6,8,5]=>0110011=>7
[4,2,1,3,7,6,8,5]=>1010011=>7
[1,4,2,3,7,6,8,5]=>0010011=>7
[2,4,1,3,7,6,8,5]=>0010011=>7
[2,5,1,3,7,6,8,4]=>0001011=>7
[2,8,3,5,7,6,1,4]=>0000111=>7
[6,8,2,3,5,7,1,4]=>0000011=>7
[6,7,1,3,5,8,2,4]=>0000011=>7
[8,3,5,7,6,1,2,4]=>0000111=>7
[5,1,2,3,7,6,8,4]=>0001011=>7
[3,1,2,4,7,6,8,5]=>0100011=>7
[10,8,9,5,6,7,1,2,3,4]=>000001011=>9
[10,8,9,4,5,6,1,2,3,7]=>000010011=>9
[10,7,8,5,6,9,1,2,3,4]=>000000111=>9
[10,7,8,4,5,9,1,2,3,6]=>000000111=>9
[10,6,7,4,5,8,1,2,3,9]=>000001101=>9
[10,7,8,3,4,9,1,2,5,6]=>000000111=>9
[10,6,7,3,4,8,1,2,5,9]=>000001101=>9
[9,8,10,5,6,7,1,2,3,4]=>000001011=>9
[9,8,10,4,5,6,1,2,3,7]=>000010011=>9
[9,7,10,5,6,8,1,2,3,4]=>000000111=>9
[9,7,10,4,5,8,1,2,3,6]=>000000111=>9
[9,6,10,4,5,7,1,2,3,8]=>000001011=>9
[9,7,10,3,4,8,1,2,5,6]=>000000111=>9
[9,6,10,3,4,7,1,2,5,8]=>000001011=>9
[8,7,9,5,6,10,1,2,3,4]=>000000111=>9
[8,7,9,4,5,10,1,2,3,6]=>000000111=>9
[8,6,9,4,5,10,1,2,3,7]=>000000111=>9
[7,6,8,4,5,9,1,2,3,10]=>000001110=>9
[8,7,9,3,4,10,1,2,5,6]=>000000111=>9
[8,6,9,3,4,10,1,2,5,7]=>000000111=>9
[7,6,8,3,4,9,1,2,5,10]=>000001110=>9
[9,6,10,5,7,8,1,2,3,4]=>000000111=>9
[9,6,10,4,7,8,1,2,3,5]=>000000111=>9
[9,5,10,4,6,7,1,2,3,8]=>000001011=>9
[9,6,10,3,7,8,1,2,4,5]=>000000111=>9
[9,5,10,3,6,7,1,2,4,8]=>000001011=>9
[8,6,9,5,7,10,1,2,3,4]=>000000111=>9
[8,6,9,4,7,10,1,2,3,5]=>000000111=>9
[8,5,9,4,6,10,1,2,3,7]=>000000111=>9
[7,5,8,4,6,9,1,2,3,10]=>000001110=>9
[8,6,9,3,7,10,1,2,4,5]=>000000111=>9
[8,5,9,3,6,10,1,2,4,7]=>000000111=>9
[7,5,8,3,6,9,1,2,4,10]=>000001110=>9
[8,4,9,3,5,10,1,2,6,7]=>000000111=>9
[7,4,8,3,5,9,1,2,6,10]=>000001110=>9
[9,6,10,2,7,8,1,3,4,5]=>000000111=>9
[9,5,10,2,6,7,1,3,4,8]=>000001011=>9
[8,6,9,2,7,10,1,3,4,5]=>000000111=>9
[8,5,9,2,6,10,1,3,4,7]=>000000111=>9
[7,5,8,2,6,9,1,3,4,10]=>000001110=>9
[8,4,9,2,5,10,1,3,6,7]=>000000111=>9
[7,4,8,2,5,9,1,3,6,10]=>000001110=>9
[8,1,2,4,3,6,5,7]=>0010101=>7
[8,1,3,5,6,2,7,4]=>0000111=>7
[8,1,3,4,2,6,7,5]=>0010011=>7
[8,1,3,2,4,5,7,6]=>0100011=>7
[2,7,8,3,4,5,6,1]=>0000101=>7
[2,6,3,8,4,5,7,1]=>0000111=>7
[6,3,2,1,4,5,8,7]=>1100101=>7
[7,3,1,4,2,6,8,5]=>0110011=>7
[7,4,1,5,6,8,2,3]=>0010011=>7
[4,7,8,5,6,1,2,3]=>0000101=>7
[3,7,8,5,6,2,1,4]=>1000101=>7
[3,7,8,4,2,6,1,5]=>0010101=>7
[3,7,8,2,4,5,1,6]=>0001001=>7
[3,6,2,8,4,5,1,7]=>0001101=>7
[2,3,6,7,4,5,8,1]=>0000011=>7
[3,5,2,4,8,6,1,7]=>0001101=>7
[3,5,4,2,8,7,1,6]=>0011011=>7
[4,6,5,8,7,1,2,3]=>0000111=>7
[6,4,5,1,7,8,2,3]=>0001101=>7
[7,4,1,2,3,8,5,6]=>0010011=>7
[6,2,4,1,3,7,5,8]=>0010110=>7
[2,6,4,8,3,7,5,1]=>0001111=>7
[2,6,5,8,7,3,4,1]=>0010111=>7
[6,2,5,1,7,3,4,8]=>0001110=>7
[6,5,2,1,8,3,4,7]=>1001101=>7
[2,5,6,7,8,3,4,1]=>0010001=>7
[2,4,6,7,3,8,5,1]=>0001011=>7
[4,2,6,7,3,1,5,8]=>0110010=>7
[4,7,8,2,3,1,5,6]=>0100001=>7
[4,7,8,3,2,1,6,5]=>1100101=>7
[5,6,4,8,1,7,2,3]=>0000111=>7
[5,6,3,8,1,2,7,4]=>0000111=>7
[4,2,5,3,7,1,6,8]=>0011010=>7
[4,3,6,7,2,1,8,5]=>1010011=>7
[3,4,6,7,2,8,1,5]=>0000011=>7
[3,4,5,2,7,8,1,6]=>0001001=>7
[3,4,2,5,6,8,1,7]=>0010001=>7
[5,2,7,8,6,4,1,3]=>0011101=>7
[5,1,2,7,8,6,4,3]=>0011101=>7
[4,7,1,8,6,5,2,3]=>0001111=>7
[4,7,1,2,8,6,5,3]=>0001111=>7
[4,6,8,1,2,7,5,3]=>0001011=>7
[6,8,7,1,5,3,2,4]=>0101011=>7
[6,8,7,3,5,1,2,4]=>0001011=>7
[7,8,1,6,3,5,2,4]=>0001101=>7
[7,8,1,3,6,5,2,4]=>0001101=>7
[7,8,3,6,5,2,1,4]=>1001101=>7
[4,7,2,8,6,1,5,3]=>0001111=>7
[1,7,3,4,8,6,5,2]=>0001111=>7
[4,2,7,1,8,6,5,3]=>0011111=>7
[7,8,2,3,6,5,1,4]=>0001101=>7
[8,5,7,1,6,2,3,4]=>0000111=>7
[8,5,7,1,2,6,3,4]=>0000111=>7
[6,8,2,7,1,3,5,4]=>0001011=>7
[6,8,7,2,5,3,1,4]=>0101011=>7
[6,2,4,8,7,1,5,3]=>0001111=>7
[1,6,8,3,7,4,5,2]=>0001011=>7
[1,6,8,3,4,7,5,2]=>0001011=>7
[6,2,4,8,1,7,5,3]=>0001111=>7
[6,8,7,2,3,5,1,4]=>0001011=>7
[6,8,2,1,7,3,5,4]=>1001011=>7
[8,5,7,2,1,6,3,4]=>1000111=>7
[8,5,7,1,2,3,6,4]=>0000111=>7
[8,7,6,2,1,4,3,5]=>1010111=>7
[8,5,7,2,3,1,6,4]=>0100111=>7
[5,8,4,2,7,1,6,3]=>0010111=>7
[1,8,7,5,3,4,6,2]=>0001111=>7
[1,8,7,3,5,4,6,2]=>0001111=>7
[8,2,5,4,7,1,6,3]=>0001111=>7
[8,5,2,7,3,1,6,4]=>0101111=>7
[8,7,6,2,4,3,1,5]=>0110111=>7
[8,7,6,1,2,4,3,5]=>0010111=>7
[8,7,6,1,4,2,3,5]=>0010111=>7
[8,7,6,4,1,3,2,5]=>0110111=>7
[5,8,4,7,2,1,6,3]=>1000111=>7
[1,8,7,5,4,3,6,2]=>0011111=>7
[1,6,8,4,3,7,5,2]=>0011011=>7
[6,8,7,3,2,5,1,4]=>0101011=>7
[6,8,1,7,3,2,5,4]=>0101011=>7
[8,5,7,3,1,6,2,4]=>0100111=>7
[8,5,7,1,3,2,6,4]=>0100111=>7
[8,5,7,3,1,2,6,4]=>0100111=>7
[5,8,4,7,1,2,6,3]=>0000111=>7
[5,8,4,1,7,2,6,3]=>0010111=>7
[5,8,4,7,1,6,2,3]=>0000111=>7
[8,1,2,6,5,7,4,3]=>0010111=>7
[8,2,5,6,7,4,1,3]=>0010011=>7
[4,8,5,7,1,6,2,3]=>0000111=>7
[4,8,5,7,1,2,6,3]=>0000111=>7
[4,8,5,1,7,2,6,3]=>0001111=>7
[8,5,3,1,7,2,6,4]=>0101111=>7
[8,5,3,7,1,2,6,4]=>0001111=>7
[6,8,1,3,7,2,5,4]=>0001011=>7
[4,6,2,8,1,7,5,3]=>0001111=>7
[1,6,4,8,3,7,5,2]=>0001111=>7
[1,8,7,4,5,3,6,2]=>0001111=>7
[4,8,5,7,2,1,6,3]=>1000111=>7
[8,5,3,7,2,1,6,4]=>1001111=>7
[8,7,6,3,1,4,2,5]=>0110111=>7
[8,7,6,1,3,2,4,5]=>0100111=>7
[8,5,3,2,7,1,6,4]=>0101111=>7
[4,8,5,2,7,1,6,3]=>0001111=>7
[1,8,7,4,3,5,6,2]=>0010111=>7
[1,8,7,3,4,5,6,2]=>0000111=>7
[8,2,4,5,7,1,6,3]=>0000111=>7
[8,5,2,3,7,1,6,4]=>0001111=>7
[6,3,1,5,4,2,8,7]=>0111101=>7
[8,3,1,5,2,7,6,4]=>0101111=>7
[8,5,4,2,1,7,3,6]=>1011011=>7
[8,5,4,2,1,7,6,3]=>1011111=>7
[6,5,4,2,1,3,8,7]=>1011101=>7
[6,5,4,2,3,1,8,7]=>0111101=>7
[6,3,2,5,1,4,8,7]=>0101101=>7
[6,5,4,3,1,2,8,7]=>0111101=>7
[6,5,4,1,3,2,8,7]=>0111101=>7
[8,5,4,1,2,7,6,3]=>0011111=>7
[8,7,4,1,6,3,2,5]=>0110111=>7
[8,7,4,1,6,3,5,2]=>0011111=>7
[8,7,4,1,6,5,3,2]=>0111111=>7
[8,5,4,1,3,7,6,2]=>0011111=>7
[8,5,4,3,1,7,6,2]=>0111111=>7
[8,3,2,5,1,7,6,4]=>0101111=>7
[2,1,8,5,3,7,6,4]=>1001111=>7
[8,3,2,5,1,7,4,6]=>0101011=>7
[8,5,4,3,1,7,2,6]=>0111011=>7
[8,5,4,1,3,7,2,6]=>0011011=>7
[8,7,4,1,6,5,2,3]=>0011111=>7
[8,7,4,1,6,2,5,3]=>0011111=>7
[8,7,6,5,2,1,4,3]=>1011111=>7
[8,7,4,3,6,2,1,5]=>1010111=>7
[8,3,2,7,6,4,1,5]=>0110111=>7
[2,1,8,7,6,4,3,5]=>1010111=>7
[2,1,8,7,6,4,5,3]=>1001111=>7
[8,3,2,7,6,4,5,1]=>0101111=>7
[8,7,4,3,6,2,5,1]=>0011111=>7
[8,7,6,5,2,4,3,1]=>0111111=>7
[8,5,4,2,3,7,6,1]=>0011111=>7
[8,7,4,2,6,5,3,1]=>0111111=>7
[8,7,4,2,6,3,5,1]=>0011111=>7
[8,7,4,2,6,3,1,5]=>0110111=>7
[8,3,1,7,6,4,2,5]=>0110111=>7
[8,3,1,7,6,4,5,2]=>0101111=>7
[8,3,1,7,6,5,4,2]=>0111111=>7
[8,3,1,5,4,7,6,2]=>0101111=>7
[8,3,1,5,4,7,2,6]=>0101011=>7
[8,3,1,7,6,5,2,4]=>0101111=>7
[8,3,1,7,6,2,5,4]=>0101111=>7
[8,7,4,2,6,1,5,3]=>0011111=>7
[8,7,4,2,6,5,1,3]=>0011111=>7
[8,5,4,2,3,7,1,6]=>0011011=>7
[8,3,2,5,4,7,1,6]=>0101011=>7
[2,1,8,5,4,7,3,6]=>1001011=>7
[8,3,2,7,6,5,1,4]=>0101111=>7
[8,7,4,3,6,5,1,2]=>0011111=>7
[8,7,6,5,3,1,4,2]=>0111111=>7
[8,7,6,5,1,3,2,4]=>0101111=>7
[8,7,6,5,1,3,4,2]=>0011111=>7
[8,7,6,5,1,4,3,2]=>0111111=>7
[8,7,6,5,4,1,3,2]=>0111111=>7
[8,7,4,3,6,1,5,2]=>0011111=>7
[8,3,2,7,6,1,5,4]=>0101111=>7
[2,1,8,7,6,3,5,4]=>1001111=>7
[8,3,2,7,6,1,4,5]=>0100111=>7
[8,7,6,5,1,4,2,3]=>0011111=>7
[8,7,6,5,1,2,4,3]=>0011111=>7
[7,3,5,1,8,4,6,2]=>0001111=>7
[7,3,4,1,8,5,6,2]=>0010111=>7
[4,5,6,2,1,8,7,3]=>1000111=>7
[1,6,5,2,7,4,3,8]=>0011110=>7
[7,4,3,1,8,6,5,2]=>0111111=>7
[7,6,5,1,8,4,3,2]=>0111111=>7
[7,6,4,1,8,5,3,2]=>0111111=>7
[6,4,2,1,8,7,5,3]=>1011111=>7
[1,6,4,2,7,5,3,8]=>0011110=>7
[1,5,3,2,7,6,4,8]=>0101110=>7
[5,3,2,1,8,7,6,4]=>1101111=>7
[2,5,3,1,7,8,6,4]=>0101101=>7
[2,6,4,1,7,8,5,3]=>0011101=>7
[2,6,5,1,7,8,4,3]=>0011101=>7
[4,5,7,1,6,8,2,3]=>0000011=>7
[6,5,1,2,8,4,3,7]=>0011101=>7
[6,4,1,2,8,5,3,7]=>0011101=>7
[5,3,1,2,8,6,4,7]=>0101101=>7
[4,3,1,2,8,6,5,7]=>0110101=>7
[6,1,2,5,8,3,4,7]=>0000101=>7
[7,1,3,4,8,2,5,6]=>0000011=>7
[7,1,5,6,8,2,3,4]=>0000011=>7
[2,6,1,5,7,8,3,4]=>0000101=>7
[7,4,1,6,8,5,2,3]=>0011011=>7
[5,2,3,1,8,6,7,4]=>0101011=>7
[3,5,2,1,6,8,7,4]=>1001011=>7
[1,6,2,5,7,3,4,8]=>0000110=>7
[6,2,1,5,8,7,3,4]=>1000111=>7
[7,3,1,5,8,6,2,4]=>0100111=>7
[6,2,4,1,8,5,7,3]=>0010111=>7
[6,2,5,1,8,4,7,3]=>0001111=>7
[7,3,1,4,8,6,2,5]=>0100111=>7
[6,2,1,4,8,7,3,5]=>1000111=>7
[1,6,2,4,7,3,5,8]=>0000110=>7
[5,2,1,3,8,7,4,6]=>1001011=>7
[7,4,1,3,8,5,2,6]=>0011011=>7
[7,5,1,3,8,4,2,6]=>0011011=>7
[3,6,7,1,4,8,2,5]=>0000011=>7
[7,6,1,4,8,3,2,5]=>0100111=>7
[4,2,1,3,8,7,5,6]=>1010011=>7
[2,6,1,4,7,8,3,5]=>0000101=>7
[7,1,4,6,8,2,3,5]=>0000011=>7
[7,1,3,5,8,2,4,6]=>0000011=>7
[6,1,2,4,8,3,5,7]=>0000101=>7
[7,4,5,2,3,1,8,6]=>0101011=>7
[8,6,7,3,5,2,4,1]=>0011011=>7
[6,3,5,2,4,1,8,7]=>0011101=>7
[4,1,6,3,5,2,8,7]=>0011101=>7
[5,2,6,3,4,1,8,7]=>0011101=>7
[5,2,7,3,4,1,8,6]=>0011011=>7
[5,2,8,6,7,3,4,1]=>0011011=>7
[6,2,8,5,7,3,4,1]=>0010111=>7
[6,2,7,3,4,1,8,5]=>0010111=>7
[4,1,7,3,5,2,8,6]=>0011011=>7
[3,1,7,4,5,2,8,6]=>0101011=>7
[3,1,8,6,7,4,5,2]=>0101011=>7
[4,1,8,6,7,3,5,2]=>0011011=>7
[8,6,7,3,4,1,5,2]=>0011011=>7
[8,5,7,3,4,1,6,2]=>0010111=>7
[8,5,6,2,7,3,4,1]=>0010111=>7
[8,4,7,3,5,1,6,2]=>0001111=>7
[5,1,8,4,7,3,6,2]=>0001111=>7
[4,1,8,5,7,3,6,2]=>0010111=>7
[2,1,8,5,7,4,6,3]=>1000111=>7
[2,1,7,4,6,3,8,5]=>1000111=>7
[4,1,7,3,6,2,8,5]=>0010111=>7
[5,1,7,3,6,2,8,4]=>0001111=>7
[6,2,7,3,5,1,8,4]=>0001111=>7
[6,2,8,4,7,3,5,1]=>0001111=>7
[8,4,7,3,6,2,5,1]=>0001111=>7
[7,3,6,2,5,1,8,4]=>0001111=>7
[6,2,5,1,7,3,8,4]=>0001111=>7
[5,2,4,1,7,3,8,6]=>0011011=>7
[6,2,4,1,7,3,8,5]=>0010111=>7
[8,5,7,3,6,2,4,1]=>0010111=>7
[8,5,7,4,6,2,3,1]=>0100111=>7
[4,2,3,1,7,5,8,6]=>0110011=>7
[3,1,4,2,8,6,7,5]=>0110011=>7
[8,5,6,2,3,1,7,4]=>0100111=>7
[7,4,8,5,6,2,3,1]=>0100111=>7
[7,3,8,5,6,2,4,1]=>0010111=>7
[8,5,6,2,4,1,7,3]=>0010111=>7
[3,1,5,2,8,6,7,4]=>0101011=>7
[2,1,6,3,8,5,7,4]=>1000111=>7
[3,1,6,2,8,5,7,4]=>0100111=>7
[4,1,6,2,8,5,7,3]=>0010111=>7
[5,1,6,2,8,4,7,3]=>0001111=>7
[8,4,6,2,5,1,7,3]=>0001111=>7
[7,3,8,4,6,2,5,1]=>0001111=>7
[6,2,7,3,8,4,5,1]=>0001111=>7
[8,4,5,1,6,2,7,3]=>0001111=>7
[5,1,8,4,6,2,7,3]=>0001111=>7
[4,1,8,5,6,2,7,3]=>0010111=>7
[3,1,8,5,6,2,7,4]=>0100111=>7
[2,1,7,4,8,5,6,3]=>1000111=>7
[4,1,7,3,8,5,6,2]=>0010111=>7
[7,3,8,4,5,1,6,2]=>0001111=>7
[8,4,5,1,7,3,6,2]=>0001111=>7
[7,3,6,2,8,4,5,1]=>0001111=>7
[7,8,5,6,1,3,4,2]=>0010101=>7
[7,8,1,3,6,2,5,4]=>0001101=>7
[1,3,8,4,7,2,5,6]=>0000011=>7
[3,6,1,4,7,2,5,8]=>0000110=>7
[4,6,1,2,5,7,3,8]=>0000110=>7
[1,4,8,2,5,7,3,6]=>0000011=>7
[7,8,2,4,5,6,1,3]=>0000101=>7
[7,8,1,5,4,6,3,2]=>0101101=>7
[7,8,2,1,6,3,4,5]=>1000101=>7
[7,8,3,5,6,4,1,2]=>0010101=>7
[7,8,1,4,2,3,6,5]=>0010101=>7
[7,8,5,1,4,2,6,3]=>0011101=>7
[7,8,4,5,3,1,6,2]=>0101101=>7
[1,5,8,4,3,2,7,6]=>0110011=>7
[5,6,1,4,3,2,7,8]=>0110100=>7
[2,6,4,8,3,7,1,5]=>0000111=>7
[1,4,6,8,3,7,5,2]=>0001011=>7
[2,4,8,5,3,1,6,7]=>0101001=>7
[2,5,8,1,4,7,6,3]=>0000111=>7
[3,5,8,4,7,6,1,2]=>0000111=>7
[1,6,2,4,7,3,8,5]=>0000111=>7
[5,6,2,1,4,7,8,3]=>1000101=>7
[4,6,2,5,3,1,8,7]=>0101101=>7
[4,7,5,1,3,6,8,2]=>0001011=>7
[7,5,3,6,2,4,1,8]=>0011110=>7
[5,7,3,6,1,4,8,2]=>0000111=>7
[5,3,6,7,2,1,8,4]=>1001011=>7
[6,1,7,5,2,4,8,3]=>0001111=>7
[6,3,1,2,4,5,8,7]=>0100101=>7
[1,4,7,2,5,3,8,6]=>0001011=>7
[4,6,7,8,3,5,1,2]=>0001001=>7
[3,6,1,8,4,2,5,7]=>0010101=>7
[1,6,7,5,8,2,4,3]=>0010011=>7
[3,5,6,7,8,1,4,2]=>0010001=>7
[3,6,5,7,8,2,1,4]=>1000101=>7
[5,2,7,6,1,4,3,8]=>0011110=>7
[2,5,7,6,8,1,3,4]=>0000011=>7
[2,7,5,6,8,4,1,3]=>0010011=>7
[2,1,6,8,4,5,3,7]=>1001001=>7
[2,7,1,8,5,3,4,6]=>0001011=>7
[3,7,6,8,5,4,1,2]=>0011011=>7
[4,3,8,5,6,7,1,2]=>0010011=>7
[4,2,8,1,6,3,7,5]=>0010111=>7
[3,1,8,5,4,6,7,2]=>0101011=>7
[3,2,8,4,5,6,1,7]=>0100101=>7
[3,4,2,8,6,1,7,5]=>0010111=>7
[3,4,7,1,5,2,6,8]=>0001010=>7
[4,3,7,8,1,2,6,5]=>0010101=>7
[1,7,3,8,5,2,6,4]=>0001111=>7
[4,1,8,3,6,2,5,7]=>0010101=>7
[5,7,8,6,3,2,1,4]=>1100101=>7
[5,7,8,6,1,3,4,2]=>0010101=>7
[7,6,5,8,1,3,4,2]=>0010111=>7
[1,6,4,3,8,2,5,7]=>0010101=>7
[7,1,3,4,8,2,6,5]=>0000111=>7
[3,6,5,4,1,2,7,8]=>0011100=>7
[2,4,5,1,7,8,6,3]=>0001101=>7
[2,6,3,4,5,8,1,7]=>0000101=>7
[2,6,4,1,8,3,7,5]=>0010111=>7
[7,3,6,4,8,5,1,2]=>0001111=>7
[7,2,1,4,8,3,5,6]=>1000011=>7
[7,1,6,5,3,8,4,2]=>0011111=>7
[7,2,5,6,3,8,1,4]=>0000111=>7
[6,5,2,7,1,8,4,3]=>0011111=>7
[5,6,2,7,3,1,4,8]=>0100110=>7
[5,6,7,4,2,8,1,3]=>0010011=>7
[5,7,6,4,1,8,3,2]=>0110111=>7
[6,7,1,5,2,8,3,4]=>0001011=>7
[1,7,5,2,4,8,3,6]=>0001011=>7
[6,1,5,2,8,3,4,7]=>0001101=>7
[6,7,5,3,8,4,1,2]=>0011011=>7
[1,6,5,4,2,3,8,7]=>0011101=>7
[7,1,5,3,4,2,8,6]=>0011011=>7
[7,6,1,5,3,2,8,4]=>0101111=>7
[7,5,6,4,1,2,8,3]=>0010111=>7
[6,7,5,4,3,1,8,2]=>0111011=>7
[7,5,2,4,3,1,6,8]=>0111010=>7
[7,4,6,1,2,5,3,8]=>0001110=>7
[7,1,4,2,5,3,6,8]=>0011010=>7
[6,8,1,4,2,5,7,3]=>0010011=>7
[1,6,4,2,5,7,3,8]=>0010110=>7
[1,6,3,7,5,4,2,8]=>0011110=>7
[6,8,1,3,7,5,4,2]=>0011011=>7
[7,1,3,5,6,4,2,8]=>0010110=>7
[7,3,1,6,4,5,2,8]=>0101110=>7
[7,4,2,6,5,1,3,8]=>0011110=>7
[7,4,6,3,1,5,2,8]=>0101110=>7
[7,2,4,1,5,3,6,8]=>0011010=>7
[7,2,3,5,4,1,6,8]=>0011010=>7
[6,8,1,2,3,4,7,5]=>0000011=>7
[1,5,7,2,3,8,6,4]=>0000111=>7
[5,1,8,2,3,6,7,4]=>0001011=>7
[5,8,2,3,7,6,4,1]=>0010111=>7
[6,2,8,1,3,7,4,5]=>0000111=>7
[6,8,2,3,5,4,7,1]=>0001011=>7
[6,8,2,4,1,5,7,3]=>0010011=>7
[6,8,3,1,2,4,7,5]=>0100011=>7
[2,6,4,1,5,7,3,8]=>0010110=>7
[2,6,3,5,7,1,4,8]=>0000110=>7
[2,5,1,7,8,3,6,4]=>0001101=>7
[2,5,3,6,8,4,7,1]=>0001011=>7
[2,1,4,7,8,5,6,3]=>1000101=>7
[2,4,7,6,8,5,1,3]=>0001011=>7
[2,5,3,7,6,1,8,4]=>0001111=>7
[2,5,7,8,1,4,6,3]=>0000101=>7
[3,5,7,4,1,6,2,8]=>0010110=>7
[5,3,4,1,8,6,7,2]=>0011011=>7
[5,2,8,4,6,1,7,3]=>0001111=>7
[5,2,1,8,6,3,7,4]=>1001111=>7
[4,2,8,6,5,3,7,1]=>0011111=>7
[4,2,8,5,7,6,3,1]=>0110111=>7
[1,4,2,7,5,8,6,3]=>0010111=>7
[4,1,8,6,7,5,3,2]=>0111011=>7
[5,3,8,7,6,2,4,1]=>0011111=>7
[5,8,4,7,6,2,1,3]=>1000111=>7
[5,8,7,4,3,6,1,2]=>0010111=>7
[6,4,8,3,1,7,2,5]=>0100111=>7
[6,4,2,8,7,1,3,5]=>0010111=>7
[6,3,8,7,2,5,1,4]=>0001111=>7
[5,8,3,7,1,6,4,2]=>0010111=>7
[5,1,3,8,6,7,2,4]=>0001011=>7
[1,5,3,7,8,6,2,4]=>0001101=>7
[1,5,7,6,4,2,8,3]=>0010111=>7
[5,8,7,4,1,6,2,3]=>0010111=>7
[6,4,8,1,2,7,3,5]=>0000111=>7
[6,8,5,1,2,3,7,4]=>0001011=>7
[6,8,5,2,4,3,7,1]=>0011011=>7
[6,8,5,3,1,2,7,4]=>0101011=>7
[4,5,1,2,7,6,3,8]=>0001110=>7
[4,5,1,2,6,8,7,3]=>0001011=>7
[3,5,6,1,8,4,7,2]=>0000111=>7
[3,5,7,1,2,8,6,4]=>0000111=>7
[3,6,2,7,5,1,4,8]=>0001110=>7
[4,2,6,1,7,3,5,8]=>0010110=>7
[4,6,3,1,2,7,5,8]=>0100110=>7
[4,5,3,1,7,6,2,8]=>0101110=>7
[4,2,5,7,1,6,3,8]=>0010110=>7
[3,5,2,7,8,1,6,4]=>0001101=>7
[3,1,4,7,5,6,2,8]=>0100110=>7
[3,4,6,5,8,7,1,2]=>0000111=>7
[3,1,4,5,8,6,7,2]=>0100011=>7
[3,4,6,8,5,2,7,1]=>0001011=>7
[3,5,6,2,8,4,7,1]=>0000111=>7
[4,2,5,6,1,8,7,3]=>0010111=>7
[4,5,3,1,6,8,7,2]=>0101011=>7
[2,1,7,5,8,6,4,3]=>1010111=>7
[1,2,7,5,3,8,6,4]=>0001111=>7
[4,1,2,7,3,8,6,5]=>0010111=>7
[6,4,1,7,5,2,3,8]=>0011110=>7
[6,1,3,7,5,2,4,8]=>0001110=>7
[3,1,2,6,8,5,4,7]=>0101001=>7
[3,7,1,2,5,4,8,6]=>0001011=>7
[1,3,7,2,4,8,6,5]=>0000111=>7
[2,4,1,7,8,6,5,3]=>0011101=>7
[3,4,7,5,1,8,6,2]=>0001111=>7
[2,7,4,1,5,8,6,3]=>0010111=>7
[2,3,7,1,5,8,6,4]=>0000111=>7
[5,2,8,1,3,7,4,6]=>0001011=>7
[2,1,6,8,3,4,7,5]=>1000011=>7
[2,6,8,3,1,5,7,4]=>0100011=>7
[2,8,6,4,1,5,7,3]=>0010111=>7
[3,6,4,8,5,1,7,2]=>0001111=>7
[6,3,7,4,5,1,8,2]=>0001111=>7
[2,6,3,7,5,8,1,4]=>0000111=>7
[5,2,1,7,8,3,4,6]=>1001001=>7
[4,7,2,3,6,8,1,5]=>0000011=>7
[5,2,7,3,6,8,1,4]=>0001011=>7
[5,7,4,6,2,8,1,3]=>0000111=>7
[5,7,3,4,6,1,8,2]=>0000111=>7
[5,3,8,4,6,1,7,2]=>0001111=>7
[8,5,2,4,1,6,7,3]=>0011011=>7
[8,2,3,5,1,6,7,4]=>0001011=>7
[4,2,8,3,6,7,1,5]=>0010011=>7
[2,4,8,1,7,3,5,6]=>0000011=>7
[8,4,1,3,6,2,5,7]=>0010101=>7
[4,8,3,1,7,2,5,6]=>0100011=>7
[5,2,8,4,7,1,6,3]=>0001111=>7
[5,8,4,7,3,1,6,2]=>0100111=>7
[4,6,8,3,1,7,5,2]=>0101011=>7
[6,3,8,2,7,1,5,4]=>0001111=>7
[6,3,1,8,2,4,7,5]=>0100111=>7
[5,3,8,1,2,6,4,7]=>0001101=>7
[5,7,4,1,6,2,3,8]=>0010110=>7
[8,5,4,1,2,6,3,7]=>0011101=>7
[5,1,8,4,2,7,3,6]=>0011011=>7
[1,6,2,8,5,3,7,4]=>0001111=>7
[6,8,5,3,1,7,4,2]=>0111011=>7
[8,4,5,1,2,6,3,7]=>0001101=>7
[5,6,3,7,1,2,4,8]=>0000110=>7
[1,6,3,7,2,8,4,5]=>0000111=>7
[6,3,2,7,8,5,1,4]=>0101101=>7
[4,5,7,8,3,1,6,2]=>0100101=>7
[4,7,2,5,8,1,6,3]=>0000111=>7
[8,1,3,4,6,2,5,7]=>0000101=>7
[3,8,2,4,6,7,1,5]=>0000011=>7
[3,5,6,8,2,7,1,4]=>0000011=>7
[2,4,5,6,8,1,7,3]=>0000011=>7
[4,8,3,5,6,1,7,2]=>0000111=>7
[5,6,2,3,7,8,1,4]=>0000101=>7
[5,8,7,3,4,1,2,6]=>0010011=>7
[6,8,7,3,4,1,2,5]=>0010011=>7
[6,8,4,7,1,5,3,2]=>0101011=>7
[6,8,4,7,2,5,3,1]=>0101011=>7
[5,4,8,7,2,6,3,1]=>0101111=>7
[5,4,8,7,1,6,3,2]=>0101111=>7
[5,3,8,7,6,1,2,4]=>0001111=>7
[4,3,8,7,6,1,2,5]=>0010111=>7
[4,8,3,7,5,1,2,6]=>0001011=>7
[8,3,4,6,5,1,2,7]=>0001101=>7
[3,8,4,7,5,1,2,6]=>0001011=>7
[3,4,8,7,6,1,2,5]=>0000111=>7
[3,5,8,7,6,1,2,4]=>0000111=>7
[4,5,8,7,6,1,2,3]=>0000111=>7
[4,5,8,7,1,6,3,2]=>0100111=>7
[4,5,8,7,2,6,3,1]=>0100111=>7
[3,5,8,2,7,6,4,1]=>0010111=>7
[3,5,8,1,7,6,4,2]=>0010111=>7
[2,5,8,1,7,6,4,3]=>0010111=>7
[2,5,8,7,1,6,3,4]=>0000111=>7
[2,4,8,7,1,6,3,5]=>0000111=>7
[2,8,4,7,1,5,3,6]=>0001011=>7
[8,2,4,6,1,5,3,7]=>0001101=>7
[8,1,4,6,2,5,3,7]=>0001101=>7
[1,8,4,7,2,5,3,6]=>0001011=>7
[1,4,8,7,2,6,3,5]=>0000111=>7
[1,5,8,7,2,6,3,4]=>0000111=>7
[1,5,8,2,7,6,4,3]=>0010111=>7
[2,5,8,3,7,6,4,1]=>0010111=>7
[1,4,2,8,7,6,5,3]=>0011111=>7
[1,3,8,2,7,6,4,5]=>0000111=>7
[1,8,3,2,7,5,4,6]=>0101011=>7
[8,1,3,2,6,5,4,7]=>0101101=>7
[8,2,3,1,6,5,4,7]=>0101101=>7
[2,8,3,1,7,5,4,6]=>0101011=>7
[2,3,8,1,7,6,4,5]=>0000111=>7
[3,4,1,8,7,6,5,2]=>0011111=>7
[4,3,1,8,7,6,5,2]=>0111111=>7
[4,2,1,8,7,6,5,3]=>1011111=>7
[3,8,2,1,7,5,4,6]=>1001011=>7
[8,3,2,1,6,5,4,7]=>1101101=>7
[8,4,2,6,1,5,3,7]=>0011101=>7
[4,2,8,7,1,6,3,5]=>0010111=>7
[5,2,8,7,1,6,3,4]=>0001111=>7
[5,2,8,1,7,6,4,3]=>0011111=>7
[5,3,8,1,7,6,4,2]=>0011111=>7
[5,3,8,2,7,6,4,1]=>0011111=>7
[6,8,3,2,7,5,4,1]=>0111011=>7
[6,8,3,1,7,5,4,2]=>0111011=>7
[6,8,2,1,7,5,4,3]=>1011011=>7
[6,8,2,7,1,5,3,4]=>0001011=>7
[6,8,7,2,1,4,3,5]=>1010011=>7
[8,5,6,1,2,4,3,7]=>0010101=>7
[5,8,7,1,2,4,3,6]=>0010011=>7
[6,8,1,2,7,5,4,3]=>0011011=>7
[6,8,2,3,7,5,4,1]=>0011011=>7
[5,2,8,3,7,6,4,1]=>0011111=>7
[5,1,8,3,7,6,4,2]=>0011111=>7
[5,1,8,7,2,6,3,4]=>0001111=>7
[4,1,8,7,2,6,3,5]=>0010111=>7
[4,8,1,7,2,5,3,6]=>0001011=>7
[8,4,1,6,2,5,3,7]=>0011101=>7
[8,3,1,2,6,5,4,7]=>0101101=>7
[3,8,1,2,7,5,4,6]=>0001011=>7
[3,1,8,2,7,6,4,5]=>0100111=>7
[3,1,2,8,7,6,5,4]=>0101111=>7
[4,1,3,8,7,6,5,2]=>0011111=>7
[3,1,4,8,7,6,5,2]=>0101111=>7
[2,1,8,3,7,6,4,5]=>1000111=>7
[2,8,1,3,7,5,4,6]=>0001011=>7
[8,2,1,3,6,5,4,7]=>1001101=>7
[8,1,2,3,6,5,4,7]=>0001101=>7
[1,8,2,3,7,5,4,6]=>0001011=>7
[1,2,8,3,7,6,4,5]=>0000111=>7
[1,4,3,6,8,2,5,7]=>0010001=>7
[3,1,6,2,5,8,4,7]=>0100101=>7
[3,5,1,8,2,4,7,6]=>0001011=>7
[1,4,5,2,8,3,7,6]=>0001011=>7
[1,4,2,6,5,8,3,7]=>0010101=>7
[1,5,4,2,6,8,3,7]=>0011001=>7
[3,1,6,5,8,2,4,7]=>0100101=>7
[1,6,4,2,5,8,3,7]=>0010101=>7
[1,5,2,6,4,8,3,7]=>0001101=>7
[1,2,6,5,4,8,3,7]=>0001101=>7
[1,2,5,4,7,3,8,6]=>0001011=>7
[4,1,2,6,3,8,7,5]=>0010111=>7
[7,1,5,4,2,8,3,6]=>0011011=>7
[1,4,7,5,2,8,3,6]=>0001011=>7
[7,1,3,5,2,8,4,6]=>0001011=>7
[7,2,5,1,8,3,4,6]=>0001011=>7
[1,4,5,2,8,7,3,6]=>0001011=>7
[1,6,4,2,8,3,7,5]=>0010111=>7
[1,4,2,8,3,7,6,5]=>0010111=>7
[1,2,5,3,8,7,6,4]=>0001111=>7
[1,2,8,6,5,3,7,4]=>0001111=>7
[1,5,2,8,6,3,7,4]=>0001111=>7
[1,6,4,2,8,7,3,5]=>0010111=>7
[6,2,1,8,7,3,4,5]=>1000111=>7
[7,6,2,1,8,3,4,5]=>1000111=>7
[7,3,1,6,2,8,4,5]=>0100111=>7
[1,7,6,4,2,8,3,5]=>0010111=>7
[1,7,5,2,6,3,8,4]=>0001111=>7
[1,6,2,7,5,3,8,4]=>0001111=>7
[1,2,7,6,5,3,8,4]=>0001111=>7
[1,2,6,5,3,8,7,4]=>0001111=>7
[1,5,2,6,3,8,7,4]=>0001111=>7
[1,5,2,7,6,3,8,4]=>0001111=>7
[1,6,5,2,7,3,8,4]=>0001111=>7
[1,5,7,4,2,8,3,6]=>0010011=>7
[4,1,2,8,6,3,7,5]=>0010111=>7
[3,1,8,6,2,4,7,5]=>0100111=>7
[4,3,7,1,8,2,5,6]=>0010011=>7
[8,3,1,6,2,4,7,5]=>0100111=>7
[7,1,8,3,2,4,6,5]=>0100111=>7
[1,8,7,3,2,4,6,5]=>0100111=>7
[1,4,2,8,7,3,6,5]=>0010111=>7
[1,7,4,2,8,3,6,5]=>0010111=>7
[8,1,5,4,2,7,3,6]=>0011011=>7
[1,4,8,5,2,7,3,6]=>0001011=>7
[8,5,3,1,7,2,4,6]=>0101011=>7
[8,6,2,1,7,3,4,5]=>1000111=>7
[1,8,6,4,2,7,3,5]=>0010111=>7
[1,8,5,2,6,3,7,4]=>0001111=>7
[1,5,2,7,3,8,6,4]=>0001111=>7
[1,2,8,5,3,7,6,4]=>0001111=>7
[1,2,6,3,8,7,5,4]=>0001111=>7
[1,2,7,6,3,8,5,4]=>0001111=>7
[1,6,2,7,3,8,5,4]=>0001111=>7
[1,7,2,8,5,3,6,4]=>0001111=>7
[1,7,4,2,8,6,3,5]=>0010111=>7
[7,1,8,3,2,6,4,5]=>0100111=>7
[7,2,1,8,6,3,4,5]=>1000111=>7
[1,8,7,3,2,6,4,5]=>0100111=>7
[1,4,2,8,7,6,3,5]=>0010111=>7
[1,2,8,7,5,3,6,4]=>0001111=>7
[1,2,8,6,3,7,5,4]=>0001111=>7
[1,2,7,3,8,6,5,4]=>0001111=>7
[4,1,7,3,6,5,8,2]=>0010111=>7
[5,1,8,7,6,2,4,3]=>0011111=>7
[8,1,7,6,3,4,5,2]=>0001111=>7
[5,7,8,6,2,4,1,3]=>0010101=>7
[5,7,1,6,2,4,3,8]=>0010110=>7
[6,4,1,5,2,7,3,8]=>0011110=>7
[8,1,4,5,3,7,6,2]=>0001111=>7
[6,1,4,5,3,8,7,2]=>0001111=>7
[6,1,4,5,3,7,8,2]=>0001101=>7
[5,1,7,8,6,2,4,3]=>0011101=>7
[6,1,4,8,3,5,7,2]=>0000111=>7
[7,1,8,6,3,4,5,2]=>0001111=>7
[7,1,4,5,3,8,6,2]=>0001111=>7
[7,1,4,5,3,6,8,2]=>0001011=>7
[8,1,4,5,3,6,7,2]=>0001011=>7
[7,4,1,5,2,6,3,8]=>0011110=>7
[6,3,5,7,2,1,4,8]=>1000110=>7
[6,3,5,8,2,1,7,4]=>1000111=>7
[6,3,5,7,2,1,8,4]=>1000111=>7
[8,4,5,7,3,6,1,2]=>0000111=>7
[6,4,5,8,3,7,2,1]=>1000111=>7
[5,8,7,6,2,4,1,3]=>0010111=>7
[5,4,8,6,3,1,7,2]=>0101111=>7
[5,4,1,8,2,3,7,6]=>0011011=>7
[5,8,1,6,2,4,3,7]=>0010101=>7
[8,4,1,5,2,6,3,7]=>0011101=>7
[6,3,5,8,2,1,4,7]=>1000101=>7
[2,3,4,1,8,6,5,7]=>0010101=>7
[8,3,5,6,2,1,4,7]=>1000101=>7
[2,3,8,5,1,4,7,6]=>0001011=>7
[2,3,8,6,1,5,7,4]=>0000111=>7
[2,8,6,7,1,3,5,4]=>0001011=>7
[8,3,5,7,2,1,6,4]=>1000111=>7
[2,3,8,5,6,1,7,4]=>0000111=>7
[7,4,5,6,3,1,8,2]=>0100111=>7
[8,4,5,6,3,1,7,2]=>0100111=>7
[7,3,5,6,2,8,1,4]=>0000111=>7
[7,3,5,8,2,1,6,4]=>1000111=>7
[7,3,5,6,2,1,4,8]=>1000110=>7
[2,7,6,5,1,3,4,8]=>0001110=>7
[2,7,6,8,1,3,5,4]=>0001011=>7
[2,7,6,5,8,3,1,4]=>0100111=>7
[8,7,5,6,1,4,2,3]=>0010111=>7
[2,6,4,1,8,5,7,3]=>0010111=>7
[2,6,1,3,8,5,7,4]=>0000111=>7
[2,7,1,3,6,5,8,4]=>0000111=>7
[2,7,6,8,4,3,1,5]=>0110011=>7
[2,7,6,1,8,3,4,5]=>0000111=>7
[2,7,6,1,4,3,5,8]=>0010110=>7
[7,3,5,1,2,8,4,6]=>0001011=>7
[8,4,1,5,2,3,7,6]=>0011011=>7
[7,8,1,6,3,4,2,5]=>0010101=>7
[6,4,1,8,3,2,7,5]=>0110111=>7
[2,3,8,6,4,1,7,5]=>0010111=>7
[2,8,6,7,4,3,1,5]=>0110011=>7
[8,3,5,7,2,4,1,6]=>0010011=>7
[2,3,4,1,8,7,5,6]=>0010011=>7
[2,8,6,1,7,3,4,5]=>0000111=>7
[2,3,8,1,6,4,7,5]=>0000111=>7
[2,3,8,1,4,5,7,6]=>0000011=>7
[2,8,6,1,4,3,5,7]=>0010101=>7
[1,2,3,4,5,6,7,9,8]=>00000001=>8
[2,1,3,4,5,6,7,8,9]=>10000000=>8
[1,2,3,4,5,6,7,8,10,9]=>000000001=>9
[2,1,3,4,5,6,7,8,9,10]=>100000000=>9
[1,2,3,4,5,6,7,8,9,11,10]=>0000000001=>10
[9,1,2,3,4,5,6,7,10,8]=>000000011=>9
[1,8,2,3,4,5,6,9,7]=>00000011=>8
[7,1,2,3,4,5,6,9,8]=>00000101=>8
[2,1,9,3,4,5,6,7,8]=>10000001=>8
[2,8,1,3,4,5,6,7,9]=>00000010=>8
[2,10,1,3,4,5,6,7,8,9]=>000000001=>9
[8,4,3,6,5,1,7,2]=>0011111=>7
[8,5,6,3,4,1,7,2]=>0010111=>7
[8,6,5,4,3,1,7,2]=>0111111=>7
[1,7,6,5,4,2,3,8]=>0011110=>7
[1,8,6,5,2,7,3,4]=>0001111=>7
[8,7,5,4,1,6,3,2]=>0111111=>7
[7,8,5,4,1,3,6,2]=>0011101=>7
[6,8,5,4,2,1,7,3]=>1011011=>7
[5,8,6,2,4,1,7,3]=>0010111=>7
[4,8,2,6,5,1,7,3]=>0001111=>7
[3,2,8,6,5,1,7,4]=>0101111=>7
[3,2,1,7,6,4,5,8]=>1100110=>7
[4,1,3,7,6,2,5,8]=>0010110=>7
[5,1,7,3,6,2,4,8]=>0001110=>7
[6,1,7,5,3,2,4,8]=>0101110=>7
[7,1,6,5,2,4,3,8]=>0011110=>7
[8,1,6,5,2,3,7,4]=>0001111=>7
[1,2,7,6,3,4,5,8]=>0000110=>7
[1,2,8,3,7,4,5,6]=>0000011=>7
[8,1,7,2,6,3,5,4]=>0001111=>7
[7,1,8,2,6,4,3,5]=>0010111=>7
[6,1,8,2,4,7,3,5]=>0000111=>7
[5,1,8,3,2,7,4,6]=>0101011=>7
[4,1,3,8,2,7,5,6]=>0010011=>7
[3,2,1,8,4,7,5,6]=>1100011=>7
[3,2,8,7,1,6,5,4]=>0101111=>7
[4,8,2,7,1,6,5,3]=>0001111=>7
[5,8,7,2,1,6,4,3]=>1010111=>7
[6,8,7,1,3,5,4,2]=>0011011=>7
[7,8,6,1,5,3,4,2]=>0011101=>7
[8,7,6,1,5,4,3,2]=>0111111=>7
[1,8,7,2,6,5,3,4]=>0001111=>7
[1,7,8,2,5,6,3,4]=>0000101=>7
[8,6,7,1,4,5,3,2]=>0101011=>7
[7,6,8,1,4,3,5,2]=>0011011=>7
[6,5,8,3,2,1,7,4]=>1100111=>7
[7,5,8,3,1,4,6,2]=>0100111=>7
[8,5,7,3,1,6,4,2]=>0110111=>7
[1,6,8,4,2,7,3,5]=>0010011=>7
[1,5,4,8,2,7,3,6]=>0001011=>7
[8,4,3,7,1,6,5,2]=>0011111=>7
[7,4,3,8,1,5,6,2]=>0010111=>7
[6,4,3,1,5,2,7,8]=>0111100=>7
[7,4,3,1,2,6,5,8]=>0110110=>7
[8,4,3,1,2,5,7,6]=>0110011=>7
[1,5,4,2,3,6,7,8]=>0011000=>7
[8,5,1,4,2,3,7,6]=>0011011=>7
[7,5,1,4,2,6,3,8]=>0011110=>7
[6,5,1,4,3,2,7,8]=>0111100=>7
[5,6,1,3,4,2,7,8]=>0010100=>7
[4,6,2,1,5,3,7,8]=>1001100=>7
[3,2,6,1,5,4,7,8]=>0101100=>7
[3,2,7,1,4,6,5,8]=>0100110=>7
[4,7,2,1,3,6,5,8]=>1000110=>7
[5,7,1,3,2,6,4,8]=>0100110=>7
[6,7,1,2,4,5,3,8]=>0001010=>7
[7,6,1,2,5,4,3,8]=>0011110=>7
[8,6,1,2,5,3,7,4]=>0001111=>7
[1,7,2,3,6,4,5,8]=>0000110=>7
[8,7,1,2,3,6,5,4]=>0001111=>7
[7,8,1,2,3,5,6,4]=>0000101=>7
[6,8,1,2,4,3,7,5]=>0010011=>7
[5,8,1,3,2,4,7,6]=>0100011=>7
[4,8,2,1,3,5,7,6]=>1000011=>7
[3,2,8,1,4,5,7,6]=>0100011=>7
[4,1,3,2,5,6,7,8]=>0110000=>7
[5,1,2,4,3,6,7,8]=>0011000=>7
[6,1,2,3,5,4,7,8]=>0001100=>7
[7,1,2,3,4,6,5,8]=>0000110=>7
[8,1,2,3,4,5,7,6]=>0000011=>7
[6,7,3,8,5,1,2,4]=>0001011=>7
[6,7,4,5,1,8,3,2]=>0101011=>7
[5,4,7,6,8,1,2,3]=>0001011=>7
[5,3,7,8,6,1,2,4]=>0001101=>7
[3,8,4,5,7,1,2,6]=>0000011=>7
[3,4,8,6,7,1,2,5]=>0000011=>7
[4,5,6,7,1,8,3,2]=>0100011=>7
[3,5,6,2,7,4,8,1]=>0000111=>7
[3,5,6,1,7,8,4,2]=>0010101=>7
[2,5,6,1,8,7,4,3]=>0010111=>7
[2,5,6,8,1,7,3,4]=>0000011=>7
[8,2,4,5,1,6,3,7]=>0001101=>7
[1,4,8,6,2,3,7,5]=>0000111=>7
[1,5,6,8,2,3,7,4]=>0000011=>7
[1,5,6,2,8,4,7,3]=>0000111=>7
[2,5,6,3,4,7,8,1]=>0000101=>7
[1,4,2,6,8,5,7,3]=>0010011=>7
[8,1,3,2,5,4,6,7]=>0101001=>7
[8,2,3,1,5,6,4,7]=>0100101=>7
[2,8,3,1,5,7,4,6]=>0100011=>7
[2,4,1,6,8,7,5,3]=>0011011=>7
[3,4,1,6,7,8,5,2]=>0011001=>7
[4,3,1,7,6,8,5,2]=>0111011=>7
[5,2,7,8,1,6,3,4]=>0001101=>7
[5,3,7,2,6,4,8,1]=>0001111=>7
[6,7,3,1,5,8,4,2]=>0110011=>7
[6,7,2,1,8,5,4,3]=>1011011=>7
[6,7,2,8,1,5,3,4]=>0001011=>7
[6,7,8,2,1,4,3,5]=>1010001=>7
[6,7,1,2,8,4,5,3]=>0001011=>7
[6,7,1,3,4,8,5,2]=>0001011=>7
[5,2,7,3,4,6,8,1]=>0001011=>7
[5,1,7,3,4,8,6,2]=>0001111=>7
[5,1,7,8,2,3,6,4]=>0001101=>7
[4,1,8,7,2,3,6,5]=>0010111=>7
[3,8,1,2,7,4,5,6]=>0000011=>7
[4,1,3,7,5,8,6,2]=>0010111=>7
[3,1,4,5,7,8,6,2]=>0100101=>7
[2,1,8,3,4,7,6,5]=>1000111=>7
[8,2,1,3,4,6,5,7]=>1000101=>7
[1,8,2,3,4,5,7,6]=>0000011=>7
[1,2,8,3,4,6,7,5]=>0000011=>7
[4,2,1,6,5,8,7,3]=>1010111=>7
[5,2,6,1,4,8,7,3]=>0001111=>7
[5,2,6,4,1,8,7,3]=>0011111=>7
[5,2,7,4,8,1,6,3]=>0001111=>7
[5,2,7,4,8,6,1,3]=>0001111=>7
[5,7,2,3,8,6,1,4]=>0000111=>7
[5,7,2,3,8,1,6,4]=>0000111=>7
[5,6,2,3,1,8,7,4]=>0100111=>7
[5,6,2,1,3,8,7,4]=>1000111=>7
[5,1,6,4,2,8,7,3]=>0011111=>7
[5,6,1,3,2,8,7,4]=>0100111=>7
[5,6,3,1,2,8,7,4]=>0100111=>7
[5,6,3,2,1,8,7,4]=>1100111=>7
[5,7,3,2,8,1,6,4]=>0100111=>7
[5,7,3,2,8,6,1,4]=>0100111=>7
[6,7,3,8,2,1,5,4]=>1001011=>7
[6,7,3,8,1,2,5,4]=>0001011=>7
[5,7,3,1,8,2,6,4]=>0100111=>7
[5,7,1,3,8,2,6,4]=>0000111=>7
[5,1,7,4,8,2,6,3]=>0001111=>7
[1,5,7,4,8,3,6,2]=>0000111=>7
[1,5,7,4,8,6,3,2]=>0100111=>7
[5,1,7,4,8,6,2,3]=>0001111=>7
[5,7,1,3,8,6,2,4]=>0000111=>7
[5,7,3,1,8,6,2,4]=>0100111=>7
[6,7,3,8,1,5,2,4]=>0001011=>7
[6,7,3,8,5,2,1,4]=>1001011=>7
[6,7,8,3,1,4,2,5]=>0110001=>7
[6,7,1,8,3,5,2,4]=>0001011=>7
[6,1,7,8,4,5,2,3]=>0001101=>7
[1,6,7,8,4,5,3,2]=>0101001=>7
[1,6,7,8,4,3,5,2]=>0011001=>7
[6,1,7,8,4,2,5,3]=>0011101=>7
[6,7,1,8,3,2,5,4]=>0101011=>7
[5,7,2,1,8,3,6,4]=>1000111=>7
[6,7,2,8,1,3,5,4]=>0001011=>7
[6,7,2,8,3,1,5,4]=>0101011=>7
[6,7,2,8,3,5,1,4]=>0001011=>7
[6,2,7,8,4,5,1,3]=>0001101=>7
[6,2,7,8,4,1,5,3]=>0011101=>7
[6,2,7,8,1,4,5,3]=>0001101=>7
[5,2,7,1,8,4,6,3]=>0001111=>7
[4,2,1,7,8,5,6,3]=>1010101=>7
[4,1,2,7,8,6,5,3]=>0011101=>7
[6,2,7,8,1,5,4,3]=>0011101=>7
[6,2,7,8,5,1,4,3]=>0011101=>7
[6,2,7,8,5,4,1,3]=>0011101=>7
[6,7,2,8,5,3,1,4]=>0101011=>7
[5,7,2,1,8,6,3,4]=>1000111=>7
[5,7,1,2,8,6,3,4]=>0000111=>7
[5,1,7,2,8,6,4,3]=>0011111=>7
[1,5,7,3,8,6,4,2]=>0010111=>7
[1,6,7,8,3,5,4,2]=>0011001=>7
[6,1,7,8,2,5,4,3]=>0011101=>7
[6,7,1,8,2,5,3,4]=>0001011=>7
[6,7,8,2,4,1,3,5]=>0010001=>7
[6,7,8,2,4,3,1,5]=>0110001=>7
[6,7,1,8,5,2,3,4]=>0001011=>7
[6,1,7,8,5,2,4,3]=>0011101=>7
[1,6,7,8,5,3,4,2]=>0011001=>7
[6,1,7,8,5,4,2,3]=>0011101=>7
[6,7,1,8,5,3,2,4]=>0101011=>7
[6,7,8,4,1,3,2,5]=>0110001=>7
[6,3,8,5,2,7,4,1]=>0011111=>7
[6,5,2,8,4,7,3,1]=>0101111=>7
[6,3,4,5,8,7,2,1]=>1000111=>7
[3,8,4,7,5,2,1,6]=>1001011=>7
[5,8,1,4,7,2,3,6]=>0000011=>7
[5,6,1,4,8,7,3,2]=>0100111=>7
[3,6,4,8,5,7,1,2]=>0000111=>7
[5,1,4,8,6,3,7,2]=>0001111=>7
[3,4,7,1,8,6,5,2]=>0001111=>7
[6,3,8,4,2,7,1,5]=>0010111=>7
[3,6,8,7,1,4,2,5]=>0010011=>7
[5,3,7,1,6,8,2,4]=>0001011=>7
[4,3,8,5,6,7,2,1]=>1010011=>7
[5,8,1,7,6,2,4,3]=>0010111=>7
[4,6,1,2,7,8,5,3]=>0001101=>7
[3,6,4,2,8,7,5,1]=>0011111=>7
[6,3,7,5,2,8,1,4]=>0001111=>7
[6,5,2,7,4,8,1,3]=>0001111=>7
[5,7,1,4,8,3,2,6]=>0100011=>7
[7,8,3,5,1,4,6,2]=>0001101=>7
[5,8,1,4,6,7,2,3]=>0000011=>7
[6,5,8,4,3,7,2,1]=>1010111=>7
[6,3,7,4,2,8,5,1]=>0011111=>7
[8,7,1,6,2,4,5,3]=>0001111=>7
[3,8,6,7,1,4,5,2]=>0001011=>7
[5,3,8,7,4,1,2,6]=>0011011=>7
[4,3,8,7,1,5,6,2]=>0010111=>7
[8,3,6,1,2,5,7,4]=>0000111=>7
[5,6,1,8,7,3,2,4]=>0100111=>7
[5,4,2,7,3,6,8,1]=>0011011=>7
[7,5,3,6,4,2,8,1]=>0011111=>7
[6,4,1,5,3,8,2,7]=>0011101=>7
[8,5,2,6,4,7,3,1]=>0101111=>7
[8,2,6,3,4,7,5,1]=>0001111=>7
[7,2,6,3,5,4,8,1]=>0001111=>7
[6,2,7,4,3,5,8,1]=>0010111=>7
[5,7,3,6,4,2,8,1]=>0010111=>7
[3,7,6,4,5,2,8,1]=>0001111=>7
[2,7,6,5,3,4,8,1]=>0001111=>7
[6,5,4,3,1,8,2,7]=>0111101=>7
[8,6,5,4,2,7,3,1]=>0111111=>7
[8,5,4,1,7,2,6,3]=>0011111=>7
[7,5,4,1,8,3,2,6]=>0111011=>7
[1,6,5,2,8,3,4,7]=>0001101=>7
[5,7,4,2,1,8,3,6]=>1010011=>7
[1,6,5,3,4,8,2,7]=>0001101=>7
[5,4,6,3,1,8,2,7]=>0101101=>7
[6,5,8,4,2,7,3,1]=>0110111=>7
[5,8,2,6,4,7,3,1]=>0100111=>7
[3,8,6,2,5,7,4,1]=>0010111=>7
[7,8,5,3,2,6,4,1]=>0111101=>7
[6,8,3,1,7,2,5,4]=>0101011=>7
[1,8,6,3,7,5,2,4]=>0001111=>7
[8,7,5,2,6,4,3,1]=>0111111=>7
[8,7,1,6,2,5,4,3]=>0011111=>7
[7,8,1,6,3,2,5,4]=>0101101=>7
[2,8,1,7,3,5,6,4]=>0000111=>7
[3,8,6,1,7,4,5,2]=>0001111=>7
[4,8,1,3,7,2,6,5]=>0000111=>7
[4,2,8,5,7,3,6,1]=>0010111=>7
[5,1,7,6,8,3,2,4]=>0101011=>7
[3,7,1,5,8,4,2,6]=>0010011=>7
[6,7,3,1,8,4,2,5]=>0110011=>7
[1,7,3,8,4,5,2,6]=>0001011=>7
[1,7,2,8,5,3,4,6]=>0001011=>7
[7,6,1,8,4,3,2,5]=>0110111=>7
[8,6,1,7,4,2,5,3]=>0011111=>7
[8,1,2,7,3,4,6,5]=>0000111=>7
[7,1,2,8,3,5,4,6]=>0001011=>7
[7,2,6,1,8,4,3,5]=>0010111=>7
[8,2,6,1,7,3,5,4]=>0001111=>7
[8,3,1,4,7,5,6,2]=>0100111=>7
[7,3,1,5,8,4,2,6]=>0110011=>7
[4,2,1,5,8,3,6,7]=>1010001=>7
[5,4,2,7,1,8,3,6]=>0011011=>7
[5,4,3,1,6,8,2,7]=>0111001=>7
[4,7,5,6,8,3,2,1]=>1100011=>7
[6,5,4,8,2,7,3,1]=>0101111=>7
[6,5,2,8,7,3,4,1]=>0011111=>7
[6,5,1,8,7,4,2,3]=>0011111=>7
[8,6,4,7,5,3,2,1]=>1101111=>7
[5,1,8,3,7,6,2,4]=>0001111=>7
[5,4,8,1,7,2,6,3]=>0001111=>7
[7,5,8,3,2,6,4,1]=>0110111=>7
[3,6,8,2,4,7,5,1]=>0001011=>7
[5,7,3,8,2,6,4,1]=>0010111=>7
[5,4,6,8,2,7,3,1]=>0101011=>7
[5,2,6,8,7,3,4,1]=>0011011=>7
[4,7,2,8,6,3,5,1]=>0001111=>7
[3,6,8,1,7,2,5,4]=>0001011=>7
[2,3,8,7,4,5,6,1]=>0000111=>7
[7,2,8,6,4,3,5,1]=>0011111=>7
[2,1,8,7,5,6,3,4]=>1000111=>7
[8,2,7,6,3,5,4,1]=>0011111=>7
[8,1,7,6,5,2,4,3]=>0011111=>7
[7,1,8,6,5,3,2,4]=>0101111=>7
[1,2,8,7,6,3,4,5]=>0000111=>7
[1,3,8,7,4,6,2,5]=>0000111=>7
[1,5,8,3,7,6,2,4]=>0000111=>7
[5,1,6,8,7,4,2,3]=>0011011=>7
[6,8,4,7,5,3,2,1]=>1101011=>7
[6,8,7,2,5,4,3,1]=>0111011=>7
[3,8,7,6,4,5,2,1]=>1001111=>7
[2,8,7,6,5,3,4,1]=>0011111=>7
[1,8,7,6,5,4,2,3]=>0011111=>7
[5,8,6,7,3,4,1,2]=>0010011=>7
[4,8,6,7,3,5,1,2]=>0001011=>7
[3,8,6,7,4,5,1,2]=>0001011=>7
[2,8,6,7,4,5,1,3]=>0001011=>7
[1,8,6,7,4,5,2,3]=>0001011=>7
[1,8,5,7,4,6,2,3]=>0000111=>7
[3,8,5,7,4,6,1,2]=>0000111=>7
[4,8,5,7,3,6,1,2]=>0000111=>7
[7,8,3,6,4,5,1,2]=>0001101=>7
[6,8,3,7,4,5,1,2]=>0001011=>7
[5,8,3,7,4,6,1,2]=>0000111=>7
[3,7,4,8,5,6,1,2]=>0000111=>7
[4,7,3,8,5,6,1,2]=>0000111=>7
[4,7,2,8,5,6,1,3]=>0000111=>7
[4,7,1,8,5,6,2,3]=>0000111=>7
[3,7,1,8,5,6,2,4]=>0000111=>7
[3,7,2,8,5,6,1,4]=>0000111=>7
[2,7,3,8,5,6,1,4]=>0000111=>7
[2,7,4,8,5,6,1,3]=>0000111=>7
[5,8,2,7,4,6,1,3]=>0000111=>7
[6,8,2,7,4,5,1,3]=>0001011=>7
[7,8,2,6,4,5,1,3]=>0001101=>7
[7,8,1,6,4,5,2,3]=>0001101=>7
[6,8,1,7,4,5,2,3]=>0001011=>7
[5,8,1,7,4,6,2,3]=>0000111=>7
[1,7,4,8,5,6,2,3]=>0000111=>7
[1,7,3,8,5,6,2,4]=>0000111=>7
[2,8,5,6,1,7,3,4]=>0000111=>7
[1,8,5,6,2,7,3,4]=>0000111=>7
[1,7,3,8,4,6,2,5]=>0000111=>7
[4,8,1,7,3,6,2,5]=>0000111=>7
[5,8,1,7,3,6,2,4]=>0000111=>7
[6,8,1,7,3,5,2,4]=>0001011=>7
[7,8,2,6,3,5,1,4]=>0001101=>7
[6,8,2,7,3,5,1,4]=>0001011=>7
[5,8,2,7,3,6,1,4]=>0000111=>7
[4,8,2,7,3,6,1,5]=>0000111=>7
[2,7,3,8,4,6,1,5]=>0000111=>7
[3,7,2,8,4,6,1,5]=>0000111=>7
[3,7,1,8,4,6,2,5]=>0000111=>7
[1,8,4,7,3,6,2,5]=>0000111=>7
[2,8,4,7,3,6,1,5]=>0000111=>7
[3,8,4,7,2,6,1,5]=>0000111=>7
[4,8,5,7,2,6,1,3]=>0000111=>7
[3,8,5,7,2,6,1,4]=>0000111=>7
[2,8,5,7,3,6,1,4]=>0000111=>7
[1,8,5,7,3,6,2,4]=>0000111=>7
[1,8,6,7,3,5,2,4]=>0001011=>7
[2,8,6,7,3,5,1,4]=>0001011=>7
[3,8,6,7,2,5,1,4]=>0001011=>7
[4,8,6,7,2,5,1,3]=>0001011=>7
[5,8,6,7,2,4,1,3]=>0010011=>7
[6,8,5,7,1,4,2,3]=>0010011=>7
[5,8,6,7,1,4,2,3]=>0010011=>7
[4,8,6,7,1,5,2,3]=>0001011=>7
[3,8,6,7,1,5,2,4]=>0001011=>7
[1,5,2,8,6,7,3,4]=>0001011=>7
[2,5,1,8,6,7,3,4]=>0001011=>7
[2,6,1,8,5,7,3,4]=>0000111=>7
[1,6,2,8,5,7,3,4]=>0000111=>7
[3,8,5,7,1,6,2,4]=>0000111=>7
[6,8,4,7,1,5,2,3]=>0001011=>7
[7,8,4,6,1,5,2,3]=>0001101=>7
[7,8,3,6,1,5,2,4]=>0001101=>7
[6,8,3,7,1,5,2,4]=>0001011=>7
[4,8,3,7,1,6,2,5]=>0000111=>7
[3,8,4,7,1,6,2,5]=>0000111=>7
[1,6,2,8,4,7,3,5]=>0000111=>7
[2,6,1,8,4,7,3,5]=>0000111=>7
[3,7,2,6,1,8,4,5]=>0000111=>7
[3,7,1,6,2,8,4,5]=>0000111=>7
[4,8,1,6,2,7,3,5]=>0000111=>7
[5,8,1,6,2,7,3,4]=>0000111=>7
[7,8,1,5,2,6,3,4]=>0001101=>7
[7,8,2,5,1,6,3,4]=>0001101=>7
[6,8,2,5,1,7,3,4]=>0001011=>7
[5,8,2,6,1,7,3,4]=>0000111=>7
[4,8,2,6,1,7,3,5]=>0000111=>7
[1,7,3,6,2,8,4,5]=>0000111=>7
[2,7,3,6,1,8,4,5]=>0000111=>7
[1,2,3,4,5,6,7,8,9]=>00000000=>1
[1,2,3,4,5,6,8,9,7]=>00000001=>8
[1,2,3,4,5,7,8,9,6]=>00000001=>8
[1,2,3,4,6,7,8,9,5]=>00000001=>8
[1,2,3,5,6,7,8,9,4]=>00000001=>8
[1,2,4,5,6,7,8,9,3]=>00000001=>8
[1,3,4,5,6,7,8,9,2]=>00000001=>8
[1,2,3,4,5,6,7,8,9,10]=>000000000=>1
[1,2,3,4,5,6,9,8,7]=>00000011=>8
[1,2,3,4,5,6,7,9,10,8]=>000000001=>9
[1,2,3,4,5,8,7,9,6]=>00000011=>8
[1,2,3,4,5,6,8,9,10,7]=>000000001=>9
[1,2,3,4,7,6,8,9,5]=>00000101=>8
[1,2,3,4,5,7,8,9,10,6]=>000000001=>9
[1,2,3,6,5,7,8,9,4]=>00001001=>8
[1,2,3,4,6,7,8,9,10,5]=>000000001=>9
[1,2,5,4,6,7,8,9,3]=>00010001=>4
[1,2,3,5,6,7,8,9,10,4]=>000000001=>9
[1,4,3,5,6,7,8,9,2]=>00100001=>8
[1,2,4,5,6,7,8,9,10,3]=>000000001=>9
[3,2,4,5,6,7,8,9,1]=>01000001=>8
[1,3,4,5,6,7,8,9,10,2]=>000000001=>9
[6,7,4,8,3,5,1,2]=>0001011=>7
[6,7,4,5,2,8,1,3]=>0001011=>7
[5,7,4,6,2,3,1,8]=>0100110=>7
[5,7,4,6,3,8,1,2]=>0000111=>7
[5,7,4,8,3,6,1,2]=>0000111=>7
[6,8,4,5,3,7,1,2]=>0001011=>7
[5,8,4,6,3,7,1,2]=>0000111=>7
[5,6,4,8,3,7,1,2]=>0000111=>7
[5,6,3,7,2,4,1,8]=>0010110=>7
[5,6,3,7,2,8,1,4]=>0000111=>7
[5,6,3,8,2,7,1,4]=>0000111=>7
[5,6,4,8,2,7,1,3]=>0000111=>7
[5,8,4,6,2,7,1,3]=>0000111=>7
[6,8,4,5,2,7,1,3]=>0001011=>7
[7,8,4,5,2,6,1,3]=>0001101=>7
[6,8,4,5,2,3,1,7]=>0101001=>7
[5,8,4,6,2,3,1,7]=>0100101=>7
[5,6,4,8,2,3,1,7]=>0100101=>7
[5,6,3,8,2,4,1,7]=>0010101=>7
[5,6,3,4,2,8,1,7]=>0010101=>7
[4,6,3,5,2,7,1,8]=>0001110=>7
[4,6,3,5,2,8,1,7]=>0001101=>7
[4,6,3,8,2,5,1,7]=>0001101=>7
[4,8,3,6,2,5,1,7]=>0001101=>7
[5,8,3,6,2,4,1,7]=>0010101=>7
[6,8,3,5,2,4,1,7]=>0011001=>7
[7,8,3,5,2,4,1,6]=>0011001=>7
[7,8,3,5,2,6,1,4]=>0001101=>7
[5,8,3,6,2,7,1,4]=>0000111=>7
[4,8,3,6,2,7,1,5]=>0000111=>7
[4,6,3,8,2,7,1,5]=>0000111=>7
[4,6,3,7,2,8,1,5]=>0000111=>7
[4,7,3,6,2,5,1,8]=>0001110=>7
[4,7,3,6,2,8,1,5]=>0000111=>7
[4,7,3,8,2,6,1,5]=>0000111=>7
[5,7,4,8,2,6,1,3]=>0000111=>7
[5,7,3,6,2,8,1,4]=>0000111=>7
[5,7,3,6,2,4,1,8]=>0010110=>7
[6,7,3,5,2,4,1,8]=>0011010=>7
[6,7,3,5,2,8,1,4]=>0001011=>7
[6,7,4,8,2,5,1,3]=>0001011=>7
[6,7,5,8,2,4,1,3]=>0010011=>7
[6,8,5,7,2,3,1,4]=>0100011=>7
[6,7,4,8,2,3,1,5]=>0100011=>7
[6,7,3,8,2,4,1,5]=>0010011=>7
[6,7,3,4,2,8,1,5]=>0010011=>7
[5,7,3,4,2,6,1,8]=>0010110=>7
[5,7,3,4,2,8,1,6]=>0010011=>7
[5,7,4,8,2,3,1,6]=>0100011=>7
[5,8,4,7,2,3,1,6]=>0100011=>7
[6,8,4,7,2,3,1,5]=>0100011=>7
[7,8,4,6,2,3,1,5]=>0100101=>7
[7,8,3,6,2,4,1,5]=>0010101=>7
[6,8,3,7,2,4,1,5]=>0010011=>7
[5,8,3,7,2,4,1,6]=>0010011=>7
[4,8,3,7,2,5,1,6]=>0001011=>7
[4,7,3,8,2,5,1,6]=>0001011=>7
[4,7,3,5,2,8,1,6]=>0001011=>7
[4,7,3,5,2,6,1,8]=>0001110=>7
[4,5,3,7,2,6,1,8]=>0001110=>7
[4,5,3,7,2,8,1,6]=>0001011=>7
[4,5,3,8,2,7,1,6]=>0001011=>7
[4,8,3,5,2,7,1,6]=>0001011=>7
[5,8,3,4,2,7,1,6]=>0010011=>7
[6,8,3,4,2,7,1,5]=>0010011=>7
[7,8,3,4,2,6,1,5]=>0010101=>7
[6,8,3,4,2,5,1,7]=>0011001=>7
[5,8,3,4,2,6,1,7]=>0010101=>7
[4,8,3,5,2,6,1,7]=>0001101=>7
[4,5,3,8,2,6,1,7]=>0001101=>7
[4,5,3,6,2,8,1,7]=>0001101=>7
[4,7,5,2,1,8,3,6]=>1001011=>7
[4,8,5,2,1,7,6,3]=>1001111=>7
[4,6,5,2,1,3,8,7]=>1001101=>7
[5,6,4,2,3,1,8,7]=>0110101=>7
[6,4,5,3,1,2,8,7]=>0101101=>7
[5,4,6,1,3,2,8,7]=>0101101=>7
[4,6,8,1,7,3,2,5]=>0100011=>7
[4,7,8,1,6,3,5,2]=>0001101=>7
[7,4,8,1,6,5,3,2]=>0101111=>7
[5,4,8,1,3,7,6,2]=>0001111=>7
[8,4,5,3,1,7,6,2]=>0101111=>7
[5,4,7,1,3,8,2,6]=>0001011=>7
[6,4,8,1,7,5,2,3]=>0001111=>7
[5,6,8,7,2,1,3,4]=>1000011=>7
[8,5,7,6,4,2,1,3]=>1010111=>7
[8,4,6,3,7,2,1,5]=>1000111=>7
[6,3,2,8,7,4,1,5]=>0110111=>7
[2,1,6,8,7,4,3,5]=>1010011=>7
[2,1,7,8,6,4,5,3]=>1001101=>7
[7,3,2,8,6,4,5,1]=>0101111=>7
[7,6,8,5,2,4,3,1]=>0111011=>7
[5,7,8,6,2,3,1,4]=>0100101=>7
[5,8,7,6,3,2,1,4]=>1100111=>7
[6,8,7,5,3,2,4,1]=>0111011=>7
[5,8,4,2,3,7,6,1]=>0010111=>7
[7,8,4,2,6,5,3,1]=>0111101=>7
[4,8,7,2,6,3,5,1]=>0001111=>7
[4,8,6,2,7,3,1,5]=>0100111=>7
[3,6,1,8,7,4,2,5]=>0010111=>7
[3,7,1,8,6,4,5,2]=>0001111=>7
[3,8,1,6,7,5,2,4]=>0001011=>7
[3,7,1,6,8,2,5,4]=>0001011=>7
[4,7,6,2,8,1,3,5]=>0000111=>7
[6,7,4,2,8,1,5,3]=>0011011=>7
[6,8,4,2,7,5,1,3]=>0011011=>7
[2,1,8,6,7,5,3,4]=>1001011=>7
[8,3,2,6,7,5,1,4]=>0101011=>7
[8,6,4,3,7,5,1,2]=>0011111=>7
[5,8,6,7,3,1,2,4]=>0100011=>7
[6,7,5,8,1,3,4,2]=>0010011=>7
[7,6,5,8,1,4,3,2]=>0110111=>7
[8,6,5,7,4,1,3,2]=>0110111=>7
[7,6,4,3,8,1,5,2]=>0011111=>7
[7,3,2,6,8,1,5,4]=>0101011=>7
[2,1,7,6,8,3,5,4]=>1001011=>7
[7,5,6,8,1,4,2,3]=>0010011=>7
[6,5,7,8,1,2,4,3]=>0010101=>7
[8,1,3,7,4,6,5,2]=>0001111=>7
[5,2,8,7,4,6,1,3]=>0001111=>7
[1,6,2,5,4,7,3,8]=>0001110=>7
[6,2,7,5,4,8,3,1]=>0101111=>7
[8,1,3,5,4,7,6,2]=>0001111=>7
[6,1,5,4,3,8,7,2]=>0011111=>7
[6,1,8,3,4,5,7,2]=>0000111=>7
[7,1,5,3,4,8,6,2]=>0001111=>7
[7,1,4,3,5,6,8,2]=>0010011=>7
[8,1,3,4,5,6,7,2]=>0000011=>7
[1,7,2,4,5,6,3,8]=>0000110=>7
[6,3,2,7,5,1,8,4]=>0101111=>7
[8,4,7,2,5,6,1,3]=>0000111=>7
[6,5,8,2,4,7,3,1]=>0100111=>7
[8,5,2,1,4,3,7,6]=>1011011=>7
[6,5,2,8,4,1,3,7]=>0011101=>7
[5,6,2,1,4,8,3,7]=>1000101=>7
[3,6,1,8,5,2,4,7]=>0001101=>7
[1,2,6,3,5,4,7,8]=>0001100=>7
[3,4,1,2,8,6,5,7]=>0010101=>7
[4,3,1,2,6,8,5,7]=>0110001=>7
[5,8,1,6,3,2,4,7]=>0100101=>7
[6,3,8,5,2,1,4,7]=>1001101=>7
[8,3,1,5,2,4,7,6]=>0101011=>7
[3,8,2,6,1,5,7,4]=>0000111=>7
[3,8,6,7,2,1,5,4]=>1001011=>7
[8,5,6,4,2,1,7,3]=>1010111=>7
[7,2,5,8,3,1,6,4]=>0100111=>7
[1,7,5,6,3,2,4,8]=>0100110=>7
[6,1,2,3,8,5,7,4]=>0000111=>7
[7,1,2,3,6,5,8,4]=>0000111=>7
[7,2,1,3,8,6,4,5]=>1000111=>7
[1,5,7,3,2,4,6,8]=>0100010=>7
[5,2,7,3,1,8,4,6]=>0101011=>7
[5,8,2,4,1,3,7,6]=>0010011=>7
[8,7,2,6,3,4,1,5]=>0010111=>7
[4,8,1,6,3,2,7,5]=>0100111=>7
[3,1,8,6,4,2,7,5]=>0110111=>7
[8,1,6,7,4,3,2,5]=>0110011=>7
[3,5,8,7,2,4,1,6]=>0010011=>7
[4,2,1,3,7,8,5,6]=>1010001=>7
[2,4,1,3,8,7,5,6]=>0010011=>7
[2,5,8,3,1,7,4,6]=>0100011=>7
[8,6,1,3,7,2,4,5]=>0000111=>7
[2,8,1,3,6,4,7,5]=>0000111=>7
[6,8,2,3,4,1,5,7]=>0010001=>7
[5,1,8,3,2,4,6,7]=>0101001=>7
[9,8,7,6,5,4,3,2,1]=>11111111=>1
[8,9,7,6,5,4,3,2,1]=>11111101=>8
[8,7,9,6,5,4,3,2,1]=>11111011=>8
[8,7,6,9,5,4,3,2,1]=>11110111=>8
[8,7,6,5,9,4,3,2,1]=>11101111=>8
[8,7,6,5,4,9,3,2,1]=>11011111=>8
[8,7,6,5,4,3,9,2,1]=>10111111=>8
[8,7,6,5,4,3,2,9,1]=>01111111=>8
[8,7,6,5,4,3,2,1,9]=>11111110=>8
[9,10,8,7,6,5,4,3,2,1]=>111111101=>9
[7,8,9,6,5,4,3,2,1]=>11111001=>8
[9,8,10,7,6,5,4,3,2,1]=>111111011=>9
[8,6,7,9,5,4,3,2,1]=>11110011=>8
[9,8,7,10,6,5,4,3,2,1]=>111110111=>9
[8,7,5,6,9,4,3,2,1]=>11100111=>8
[9,8,7,6,10,5,4,3,2,1]=>111101111=>9
[8,7,6,4,5,9,3,2,1]=>11001111=>8
[9,8,7,6,5,10,4,3,2,1]=>111011111=>9
[8,7,6,5,3,4,9,2,1]=>10011111=>8
[9,8,7,6,5,4,10,3,2,1]=>110111111=>9
[8,7,6,5,4,2,3,9,1]=>00111111=>8
[9,8,7,6,5,4,3,10,2,1]=>101111111=>9
[8,7,6,5,4,3,1,2,9]=>01111110=>8
[9,8,7,6,5,4,3,2,10,1]=>011111111=>9
[9,8,7,6,5,4,3,2,1,10]=>111111110=>9
[1,4,2,7,8,6,3,5]=>0010101=>7
[1,6,2,4,8,5,3,7]=>0001101=>7
[1,6,2,4,7,5,3,8]=>0001110=>7
[1,7,3,8,5,2,4,6]=>0001011=>7
[1,7,3,2,8,6,4,5]=>0100111=>7
[4,2,5,7,8,6,1,3]=>0010101=>7
[7,2,3,1,8,5,6,4]=>0100111=>7
[8,2,5,1,7,3,4,6]=>0001011=>7
[6,2,1,8,3,4,7,5]=>1000111=>7
[6,2,8,3,5,1,7,4]=>0001111=>7
[6,2,4,8,5,7,1,3]=>0000111=>7
[1,3,6,4,8,5,7,2]=>0000111=>7
[1,3,6,4,7,5,8,2]=>0000111=>7
[6,2,4,7,5,8,1,3]=>0000111=>7
[6,2,1,3,7,8,4,5]=>1000101=>7
[7,8,2,1,4,3,5,6]=>1010001=>7
[7,6,4,2,3,1,8,5]=>0110111=>7
[5,7,2,3,1,6,8,4]=>0100011=>7
[7,5,4,2,6,8,1,3]=>0011011=>7
[1,7,5,3,4,6,8,2]=>0001011=>7
[8,2,5,4,6,7,1,3]=>0001011=>7
[5,2,6,3,1,8,7,4]=>0101111=>7
[8,2,6,4,3,1,7,5]=>0110111=>7
[8,2,7,4,1,3,5,6]=>0010011=>7
[1,2,8,4,3,5,6,7]=>0010001=>7
[1,7,4,2,3,5,6,8]=>0010010=>7
[6,8,4,1,3,2,5,7]=>0110001=>7
[1,8,7,4,3,2,5,6]=>0110011=>7
[1,6,3,8,2,4,7,5]=>0000111=>7
[5,3,8,1,2,7,4,6]=>0001011=>7
[5,1,8,3,2,6,4,7]=>0101101=>7
[5,7,3,1,2,6,4,8]=>0100110=>7
[1,7,5,4,2,6,3,8]=>0011110=>7
[1,5,8,2,4,6,3,7]=>0000101=>7
[1,5,8,4,2,7,3,6]=>0010011=>7
[1,4,6,2,8,3,7,5]=>0000111=>7
[5,3,1,6,7,2,4,8]=>0101010=>7
[5,3,6,1,2,8,4,7]=>0001101=>7
[1,6,3,2,7,8,4,5]=>0100101=>7
[1,7,4,5,3,8,6,2]=>0001111=>7
[6,3,4,1,2,5,8,7]=>0010101=>7
[6,3,1,4,2,7,5,8]=>0110110=>7
[1,8,3,2,4,5,6,7]=>0100001=>7
[8,6,3,2,4,1,7,5]=>0110111=>7
[8,5,3,2,6,7,1,4]=>0101011=>7
[4,5,2,6,8,1,7,3]=>0001011=>7
[4,2,5,6,7,8,1,3]=>0010001=>7
[5,2,3,6,7,1,8,4]=>0001011=>7
[6,2,3,4,1,7,8,5]=>0010101=>7
[7,2,3,1,4,5,8,6]=>0100011=>7
[8,6,1,4,3,2,5,7]=>0110101=>7
[8,3,1,6,5,2,4,7]=>0101101=>7
[3,7,5,1,8,2,4,6]=>0001011=>7
[4,1,5,2,8,7,3,6]=>0011011=>7
[8,1,2,4,6,5,3,7]=>0001101=>7
[8,1,2,5,4,6,3,7]=>0001101=>7
[8,2,6,5,1,3,4,7]=>0001101=>7
[8,3,1,6,2,5,4,7]=>0101101=>7
[8,1,2,6,4,5,3,7]=>0001101=>7
[8,1,2,5,6,4,3,7]=>0010101=>7
[8,1,2,6,5,4,3,7]=>0011101=>7
[1,7,5,4,2,8,3,6]=>0011011=>7
[5,1,4,8,2,7,3,6]=>0001011=>7
[1,4,6,8,2,7,3,5]=>0000011=>7
[1,4,7,6,2,8,3,5]=>0000111=>7
[5,1,4,7,2,8,3,6]=>0001011=>7
[1,7,4,5,2,8,3,6]=>0001011=>7
[3,7,5,1,2,8,4,6]=>0001011=>7
[5,7,2,8,1,3,4,6]=>0000011=>7
[5,2,8,7,1,3,4,6]=>0001011=>7
[4,1,5,8,2,7,3,6]=>0010011=>7
[1,4,6,2,8,7,3,5]=>0000111=>7
[1,4,2,8,6,7,3,5]=>0010011=>7
[3,1,2,6,4,8,7,5]=>0100111=>7
[2,1,7,6,3,4,8,5]=>1000111=>7
[3,1,2,7,4,6,8,5]=>0100011=>7
[1,4,7,2,6,8,3,5]=>0000011=>7
[1,2,3,6,8,5,7,4]=>0000011=>7
[5,1,4,2,7,8,3,6]=>0011001=>7
[1,4,2,7,6,8,3,5]=>0010011=>7
[1,4,2,6,8,7,3,5]=>0010011=>7
[3,1,2,8,4,6,7,5]=>0100011=>7
[3,1,2,7,6,4,8,5]=>0100111=>7
[5,3,7,1,8,2,4,6]=>0001011=>7
[1,7,4,3,2,5,8,6]=>0110011=>7
[4,8,7,2,1,3,5,6]=>1000011=>7
[1,8,7,3,4,2,5,6]=>0010011=>7
[3,1,7,8,2,6,4,5]=>0100101=>7
[1,4,2,7,8,3,6,5]=>0010101=>7
[5,2,8,1,3,4,7,6]=>0001011=>7
[2,1,8,6,3,4,7,5]=>1000111=>7
[1,4,2,6,8,3,7,5]=>0010011=>7
[1,2,3,7,8,5,6,4]=>0000101=>7
[1,2,3,7,5,8,6,4]=>0000111=>7
[1,4,2,7,3,8,6,5]=>0010111=>7
[3,1,7,2,8,6,4,5]=>0100111=>7
[2,1,7,8,3,4,6,5]=>1000101=>7
[1,2,3,8,7,5,6,4]=>0000111=>7
[10,1,2,3,4,5,6,7,8,9]=>000000001=>9
[10,1,2,3,4,5,6,9,7,8]=>000000011=>9
[10,1,2,3,4,5,9,6,7,8]=>000000011=>9
[9,1,2,3,4,10,5,6,7,8]=>000000011=>9
[10,1,2,3,9,4,5,6,7,8]=>000000011=>9
[10,1,2,9,3,4,5,6,7,8]=>000000011=>9
[9,1,10,2,3,4,5,6,7,8]=>000000011=>9
[10,9,1,2,3,4,5,6,7,8]=>000000011=>9
[11,1,2,3,4,5,6,7,8,9,10]=>0000000001=>10
[10,1,2,3,4,5,6,7,8,11,9]=>0000000011=>10
[8,1,2,3,4,5,6,9,10,7]=>000000101=>9
[11,1,2,3,4,5,6,7,10,8,9]=>0000000011=>10
[7,1,2,3,4,5,10,9,6,8]=>000001011=>9
[11,1,2,3,4,5,6,10,7,8,9]=>0000000011=>10
[6,1,2,3,4,10,9,5,7,8]=>000010011=>9
[10,1,2,3,4,5,11,6,7,8,9]=>0000000011=>10
[5,1,2,3,9,10,4,6,7,8]=>000100001=>9
[11,1,2,3,4,10,5,6,7,8,9]=>0000000011=>10
[4,1,2,10,9,3,5,6,7,8]=>001000011=>9
[11,1,2,3,10,4,5,6,7,8,9]=>0000000011=>10
[3,1,10,9,2,4,5,6,7,8]=>010000011=>9
[10,1,2,11,3,4,5,6,7,8,9]=>0000000011=>10
[2,9,10,1,3,4,5,6,7,8]=>000000001=>9
[11,1,10,2,3,4,5,6,7,8,9]=>0000000011=>10
[11,10,1,2,3,4,5,6,7,8,9]=>0000000011=>10
[4,7,8,5,6,2,1,3]=>1000101=>7
[5,7,8,4,2,6,1,3]=>0010101=>7
[6,7,8,4,2,5,1,3]=>0011001=>7
[8,6,3,7,2,1,5,4]=>1001111=>7
[7,6,3,8,2,1,5,4]=>1001111=>7
[6,7,8,3,2,1,5,4]=>1101001=>7
[5,7,8,3,2,1,6,4]=>1100101=>7
[2,7,8,4,3,5,6,1]=>0010101=>7
[3,7,8,4,2,5,1,6]=>0011001=>7
[4,7,8,3,2,1,5,6]=>1100001=>7
[5,7,8,3,2,1,4,6]=>1100001=>7
[7,6,3,8,2,1,4,5]=>1000111=>7
[8,6,3,7,2,1,4,5]=>1000111=>7
[5,6,3,8,2,1,4,7]=>1000101=>7
[3,6,4,8,2,5,1,7]=>0001101=>7
[2,6,4,8,3,5,7,1]=>0000111=>7
[2,6,4,7,3,5,8,1]=>0000111=>7
[3,6,4,7,2,5,1,8]=>0001110=>7
[4,6,3,7,2,1,5,8]=>1000110=>7
[5,6,3,7,2,1,4,8]=>1000110=>7
[8,4,3,2,1,6,5,7]=>1110101=>7
[6,4,3,2,1,7,5,8]=>1110110=>7
[4,5,3,2,7,1,6,8]=>0101010=>7
[3,5,4,2,8,6,1,7]=>0011101=>7
[6,4,3,2,1,8,5,7]=>1110101=>7
[7,4,3,2,1,8,5,6]=>1110011=>7
[8,4,3,2,1,7,5,6]=>1110011=>7
[8,4,3,2,1,7,6,5]=>1110111=>7
[7,4,3,2,1,8,6,5]=>1110111=>7
[6,4,3,2,1,8,7,5]=>1110111=>7
[5,6,3,8,2,1,7,4]=>1000111=>7
[7,5,3,2,8,1,6,4]=>0101111=>7
[8,5,4,2,7,6,1,3]=>0011111=>7
[7,5,4,2,8,6,1,3]=>0011111=>7
[6,5,4,2,8,7,1,3]=>0011111=>7
[4,6,5,8,7,2,1,3]=>1000111=>7
[2,6,5,7,8,3,4,1]=>0010101=>7
[6,5,4,2,7,8,1,3]=>0011101=>7
[8,5,4,2,6,7,1,3]=>0011011=>7
[8,5,3,2,6,1,7,4]=>0101111=>7
[7,5,3,2,6,1,8,4]=>0101111=>7
[5,6,3,7,2,1,8,4]=>1000111=>7
[4,6,3,7,2,1,8,5]=>1000111=>7
[3,6,4,7,2,8,1,5]=>0000111=>7
[2,6,4,7,3,8,5,1]=>0001111=>7
[3,5,4,2,7,8,1,6]=>0011001=>7
[4,5,3,2,7,1,8,6]=>0101011=>7
[7,4,3,2,1,6,8,5]=>1110011=>7
[8,4,3,2,1,6,7,5]=>1110011=>7
[8,4,3,2,1,5,7,6]=>1110011=>7
[7,4,3,2,1,5,8,6]=>1110011=>7
[6,4,3,2,1,5,8,7]=>1110101=>7
[3,5,4,2,6,8,1,7]=>0011001=>7
[5,6,3,4,1,2,8,7]=>0010101=>7
[8,5,3,7,2,6,4,1]=>0011111=>7
[8,5,7,4,2,6,3,1]=>0110111=>7
[7,5,8,4,2,6,1,3]=>0010111=>7
[2,1,7,8,5,6,3,4]=>1000101=>7
[6,8,3,7,5,1,4,2]=>0011011=>7
[5,7,3,8,1,6,2,4]=>0000111=>7
[3,2,6,4,8,5,1,7]=>0101101=>7
[3,2,5,8,4,6,1,7]=>0100101=>7
[3,5,2,4,1,7,6,8]=>0011010=>7
[4,2,1,5,7,3,6,8]=>1010010=>7
[4,5,2,3,7,1,6,8]=>0001010=>7
[4,2,5,3,8,1,6,7]=>0011001=>7
[4,2,5,8,3,1,6,7]=>0110001=>7
[3,1,5,4,2,8,6,7]=>0111001=>7
[4,1,5,3,8,2,6,7]=>0011001=>7
[4,1,5,8,3,2,6,7]=>0110001=>7
[4,3,8,5,2,1,6,7]=>1011001=>7
[4,7,3,5,2,1,6,8]=>1001010=>7
[4,3,2,7,5,1,6,8]=>0111010=>7
[4,3,6,2,5,1,7,8]=>0011100=>7
[4,6,3,2,5,1,7,8]=>0101100=>7
[4,6,7,1,3,2,5,8]=>0100010=>7
[4,5,1,7,3,2,6,8]=>0101010=>7
[4,5,1,3,7,2,6,8]=>0001010=>7
[3,5,1,4,2,7,6,8]=>0011010=>7
[2,5,1,4,3,7,8,6]=>0011001=>7
[5,2,1,4,3,7,8,6]=>1011001=>7
[5,3,1,4,2,7,6,8]=>0111010=>7
[4,3,1,5,7,2,6,8]=>0110010=>7
[4,3,1,7,5,2,6,8]=>0111010=>7
[4,3,6,1,5,2,7,8]=>0011100=>7
[4,6,3,1,5,2,7,8]=>0101100=>7
[5,3,6,4,1,2,7,8]=>0011100=>7
[4,3,6,1,7,2,5,8]=>0010110=>7
[6,3,4,1,2,7,5,8]=>0010110=>7
[6,2,4,1,3,7,8,5]=>0010101=>7
[3,6,4,1,2,7,5,8]=>0010110=>7
[4,6,3,1,7,2,5,8]=>0100110=>7
[5,3,6,2,1,4,7,8]=>1001100=>7
[5,6,2,7,1,3,4,8]=>0000110=>7
[4,5,2,7,3,1,6,8]=>0101010=>7
[4,6,7,2,3,1,5,8]=>0100010=>7
[4,6,2,1,7,3,5,8]=>1000110=>7
[3,2,6,1,4,7,5,8]=>0100110=>7
[3,6,2,1,4,7,5,8]=>1000110=>7
[3,6,7,2,4,5,1,8]=>0001010=>7
[3,5,2,7,4,6,1,8]=>0001110=>7
[3,7,2,4,8,5,1,6]=>0001011=>7
[7,2,1,4,6,3,8,5]=>1000111=>7
[7,3,1,4,6,8,2,5]=>0100011=>7
[3,2,6,1,5,7,4,8]=>0100110=>7
[3,6,2,1,5,7,4,8]=>1000110=>7
[6,3,2,1,5,7,4,8]=>1100110=>7
[6,4,2,1,5,3,7,8]=>1011100=>7
[4,2,6,1,5,3,7,8]=>0011100=>7
[4,2,1,7,5,3,6,8]=>1011010=>7
[7,4,1,5,6,2,3,8]=>0010110=>7
[7,3,1,5,2,6,4,8]=>0101110=>7
[7,2,1,5,3,6,8,4]=>1001011=>7
[6,2,5,1,3,7,8,4]=>0001101=>7
[6,3,5,1,2,7,4,8]=>0001110=>7
[6,4,5,1,7,2,3,8]=>0001110=>7
[5,2,6,4,1,3,7,8]=>0011100=>7
[4,6,5,1,7,2,3,8]=>0001110=>7
[3,6,5,1,2,7,4,8]=>0001110=>7
[6,5,2,1,4,7,8,3]=>1001101=>7
[6,5,3,1,4,7,2,8]=>0101110=>7
[2,3,1,8,5,4,7,6]=>0101011=>7
[2,4,1,5,8,3,7,6]=>0010011=>7
[2,4,1,5,3,8,7,6]=>0011011=>7
[3,4,5,1,2,8,7,6]=>0001011=>7
[3,4,5,1,8,2,7,6]=>0001011=>7
[1,8,4,5,3,2,7,6]=>0101011=>7
[2,4,8,5,3,1,7,6]=>0101011=>7
[3,4,5,8,2,1,7,6]=>1000011=>7
[3,4,5,2,8,1,7,6]=>0001011=>7
[3,4,6,2,1,7,8,5]=>1000101=>7
[3,4,6,2,1,7,5,8]=>1000110=>7
[3,5,6,2,7,1,4,8]=>0000110=>7
[3,5,6,2,7,1,8,4]=>0000111=>7
[3,5,6,2,7,8,1,4]=>0000101=>7
[3,4,6,2,8,7,1,5]=>0000111=>7
[3,4,6,8,2,7,1,5]=>0000011=>7
[2,4,8,6,3,7,1,5]=>0000111=>7
[1,8,4,6,3,7,2,5]=>0000111=>7
[1,8,4,6,3,7,5,2]=>0001111=>7
[3,4,6,8,2,7,5,1]=>0001011=>7
[3,4,6,2,8,7,5,1]=>0001111=>7
[3,5,6,2,7,8,4,1]=>0010101=>7
[3,5,6,2,7,4,1,8]=>0010110=>7
[4,5,6,7,2,8,3,1]=>0100011=>7
[3,5,6,8,7,2,4,1]=>0010011=>7
[2,5,8,6,7,3,4,1]=>0010011=>7
[1,8,5,6,7,3,4,2]=>0010011=>7
[1,8,5,6,7,3,2,4]=>0100011=>7
[2,5,8,6,7,3,1,4]=>0100011=>7
[3,5,6,8,7,2,1,4]=>1000011=>7
[4,5,6,7,2,1,8,3]=>1000011=>7
[3,4,6,1,8,7,2,5]=>0000111=>7
[2,4,1,6,8,7,3,5]=>0010011=>7
[2,3,1,8,6,7,4,5]=>0100011=>7
[1,8,3,2,6,7,5,4]=>0101011=>7
[2,5,1,6,7,8,4,3]=>0011001=>7
[2,5,1,6,7,4,8,3]=>0001011=>7
[2,5,1,6,7,4,3,8]=>0011010=>7
[3,5,6,1,7,4,2,8]=>0010110=>7
[3,5,6,1,7,4,8,2]=>0000111=>7
[3,4,6,1,8,7,5,2]=>0001111=>7
[3,4,6,8,1,7,5,2]=>0001011=>7
[2,4,8,6,1,7,5,3]=>0001111=>7
[1,8,4,6,2,7,5,3]=>0001111=>7
[1,8,5,6,7,2,4,3]=>0010011=>7
[2,5,8,6,7,1,4,3]=>0010011=>7
[3,5,6,8,7,1,4,2]=>0010011=>7
[4,5,6,7,8,1,3,2]=>0100001=>7
[4,5,6,7,1,3,8,2]=>0000011=>7
[4,5,6,7,1,3,2,8]=>0100010=>7
[4,5,6,7,3,1,8,2]=>0100011=>7
[3,5,6,8,7,4,1,2]=>0010011=>7
[2,5,8,6,7,4,1,3]=>0010011=>7
[1,8,5,6,7,4,2,3]=>0010011=>7
[1,8,5,6,7,4,3,2]=>0110011=>7
[2,5,8,6,7,4,3,1]=>0110011=>7
[8,2,5,3,7,1,6,4]=>0001111=>7
[8,2,4,3,7,1,6,5]=>0010111=>7
[5,8,2,4,3,7,1,6]=>0010011=>7
[4,2,5,6,1,8,3,7]=>0010101=>7
[4,2,5,6,1,7,3,8]=>0010110=>7
[6,1,5,7,3,2,4,8]=>0100110=>7
[6,1,5,8,3,2,4,7]=>0100101=>7
[3,8,2,4,7,1,5,6]=>0000011=>7
[3,6,8,2,4,7,1,5]=>0000011=>7
[4,3,5,6,7,1,8,2]=>0010011=>7
[3,7,1,5,6,8,2,4]=>0000011=>7
[3,7,1,5,8,2,4,6]=>0000011=>7
[8,3,2,4,6,1,5,7]=>0100101=>7
[7,3,2,4,6,1,5,8]=>0100110=>7
[3,2,5,1,7,4,6,8]=>0101010=>7
[3,2,5,1,8,4,6,7]=>0101001=>7
[3,2,5,1,7,8,4,6]=>0101001=>7
[7,8,3,2,4,6,1,5]=>0100101=>7
[6,1,5,7,8,3,2,4]=>0100101=>7
[4,2,5,6,1,7,8,3]=>0010101=>7
[5,7,6,1,8,3,4,2]=>0010111=>7
[5,8,6,1,7,3,4,2]=>0010111=>7
[6,1,5,8,7,3,2,4]=>0100111=>7
[8,7,3,2,4,6,1,5]=>0100111=>7
[3,2,5,1,8,7,4,6]=>0101011=>7
[3,2,5,1,6,4,7,8]=>0101100=>7
[3,2,4,1,8,7,5,6]=>0110011=>7
[3,2,5,1,6,8,7,4]=>0101011=>7
[3,8,6,5,1,7,4,2]=>0011111=>7
[3,7,6,5,1,8,4,2]=>0011111=>7
[6,5,1,7,8,4,2,3]=>0011101=>7
[3,2,5,1,6,7,8,4]=>0101001=>7
[3,2,4,1,8,5,6,7]=>0110001=>7
[3,2,4,1,7,5,6,8]=>0110010=>7
[3,2,4,1,6,8,5,7]=>0110001=>7
[3,2,4,1,8,5,7,6]=>0110011=>7
[8,3,2,4,7,6,1,5]=>0100111=>7
[3,2,5,1,8,4,7,6]=>0101011=>7
[3,2,5,1,6,7,4,8]=>0101010=>7
[6,5,1,7,4,2,3,8]=>0011110=>7
[6,5,1,8,4,2,3,7]=>0011101=>7
[8,4,2,3,7,5,1,6]=>0011011=>7
[4,2,6,1,8,3,7,5]=>0010111=>7
[5,2,6,1,8,3,7,4]=>0001111=>7
[8,4,6,1,7,3,5,2]=>0001111=>7
[5,2,6,1,8,4,7,3]=>0001111=>7
[7,4,2,3,8,5,1,6]=>0011011=>7
[8,5,1,6,4,2,3,7]=>0011101=>7
[7,5,1,6,4,2,3,8]=>0011110=>7
[3,2,5,1,7,6,4,8]=>0101110=>7
[3,2,5,1,8,6,4,7]=>0101101=>7
[7,3,2,4,8,6,1,5]=>0100111=>7
[8,6,1,5,7,3,2,4]=>0100111=>7
[4,2,6,1,8,5,7,3]=>0010111=>7
[8,5,6,1,7,3,4,2]=>0010111=>7
[3,6,8,5,1,7,4,2]=>0011011=>7
[8,5,1,6,7,4,2,3]=>0011011=>7
[3,2,5,1,8,6,7,4]=>0101011=>7
[3,2,4,1,8,6,5,7]=>0110101=>7
[3,2,4,1,5,8,6,7]=>0110001=>7
[3,2,5,1,7,8,6,4]=>0101101=>7
[7,8,5,1,6,4,2,3]=>0011101=>7
[3,8,5,1,7,6,4,2]=>0011111=>7
[3,7,5,1,8,6,4,2]=>0011111=>7
[8,7,5,1,6,4,2,3]=>0011111=>7
[3,2,5,1,8,7,6,4]=>0101111=>7
[6,5,7,3,1,8,4,2]=>0110111=>7
[4,6,3,7,1,8,5,2]=>0001111=>7
[4,6,3,7,5,1,8,2]=>0001111=>7
[4,2,6,1,7,5,3,8]=>0011110=>7
[2,5,7,4,1,6,3,8]=>0010110=>7
[2,5,7,4,1,6,8,3]=>0010011=>7
[5,4,7,3,6,1,8,2]=>0001111=>7
[5,4,7,8,3,1,6,2]=>0101101=>7
[4,3,7,5,1,8,6,2]=>0011111=>7
[6,4,3,8,5,1,7,2]=>0011111=>7
[5,8,4,3,6,1,7,2]=>0010111=>7
[5,4,8,3,6,1,7,2]=>0001111=>7
[5,4,3,6,7,1,8,2]=>0011011=>7
[2,5,4,6,1,7,3,8]=>0001110=>7
[3,2,5,8,1,6,7,4]=>0100011=>7
[2,5,4,6,8,1,7,3]=>0001011=>7
[5,2,8,4,1,6,7,3]=>0011011=>7
[4,6,2,1,8,5,7,3]=>1000111=>7
[2,4,1,7,5,8,6,3]=>0010111=>7
[2,4,1,7,5,3,8,6]=>0011011=>7
[2,6,4,1,8,5,3,7]=>0011101=>7
[5,4,8,2,1,6,3,7]=>1001101=>7
[2,5,8,4,1,6,3,7]=>0010101=>7
[3,2,5,6,1,8,4,7]=>0100101=>7
[4,8,3,2,6,1,5,7]=>0100101=>7
[3,5,2,8,1,6,4,7]=>0001101=>7
[3,2,1,6,8,5,4,7]=>1101001=>7
[3,2,7,1,5,4,8,6]=>0101011=>7
[3,2,7,1,5,8,6,4]=>0100111=>7
[3,8,2,5,1,6,7,4]=>0001011=>7
[4,8,3,2,6,7,1,5]=>0100011=>7
[4,3,8,2,6,7,1,5]=>0010011=>7
[4,3,2,6,7,8,1,5]=>0110001=>7
[4,3,2,6,7,1,5,8]=>0110010=>7
[4,3,7,2,6,8,1,5]=>0010011=>7
[4,3,7,8,2,6,1,5]=>0010101=>7
[2,5,7,4,8,1,6,3]=>0000111=>7
[3,2,5,7,8,1,6,4]=>0100101=>7
[3,2,5,7,1,6,8,4]=>0100011=>7
[3,2,5,7,1,6,4,8]=>0100110=>7
[6,3,2,7,1,5,4,8]=>0101110=>7
[6,3,2,7,1,5,8,4]=>0100111=>7
[6,3,2,7,8,1,5,4]=>0101101=>7
[4,2,6,1,7,8,5,3]=>0011101=>7
[6,5,2,1,7,8,4,3]=>1011101=>7
[2,1,7,5,3,8,6,4]=>1001111=>7
[6,2,1,8,5,3,7,4]=>1001111=>7
[6,3,2,7,1,4,8,5]=>0100111=>7
[6,3,2,1,4,7,8,5]=>1100101=>7
[6,3,2,1,4,7,5,8]=>1100110=>7
[3,5,2,1,7,4,6,8]=>1001010=>7
[3,5,2,1,7,8,4,6]=>1001001=>7
[5,8,4,2,1,7,3,6]=>1010011=>7
[4,6,2,1,8,3,7,5]=>1000111=>7
[2,4,1,7,3,8,6,5]=>0010111=>7
[3,2,7,1,4,8,6,5]=>0100111=>7
[3,5,8,2,1,7,4,6]=>1000011=>7
[4,8,3,7,2,1,5,6]=>1000011=>7
[4,3,7,2,8,1,5,6]=>0010011=>7
[4,3,7,2,1,5,6,8]=>1010010=>7
[4,8,3,2,7,1,5,6]=>0100011=>7
[3,5,2,8,1,7,4,6]=>0001011=>7
[6,3,2,8,1,4,7,5]=>0100111=>7
[3,2,1,4,7,5,8,6]=>1100011=>7
[5,3,2,1,8,4,6,7]=>1101001=>7
[4,8,3,2,1,5,6,7]=>1100001=>7
[4,3,8,2,1,5,6,7]=>1010001=>7
[1,9,8,7,6,5,4,3,2]=>01111111=>8
[8,7,6,4,5,3,2,1,9]=>11011110=>8
[1,9,8,7,5,6,4,3,2]=>01101111=>8
[1,10,9,8,7,6,5,4,3,2]=>011111111=>9
[9,8,7,5,6,4,3,2,1,10]=>111011110=>9
[8,7,5,4,6,3,2,1,9]=>11011110=>8
[8,7,4,6,5,3,2,1,9]=>11011110=>8
[1,9,8,6,5,7,4,3,2]=>01101111=>8
[1,9,8,5,7,6,4,3,2]=>01101111=>8
[1,10,9,8,6,7,5,4,3,2]=>011101111=>9
[6,2,3,1,5,4,8,7]=>0101101=>7
[8,4,5,2,3,1,7,6]=>0101011=>7
[8,6,7,2,5,3,4,1]=>0011011=>7
[8,2,5,3,4,1,7,6]=>0011011=>7
[6,2,5,3,4,1,8,7]=>0011101=>7
[6,1,5,2,4,3,8,7]=>0011101=>7
[6,4,5,1,3,2,8,7]=>0101101=>7
[6,1,5,3,4,2,8,7]=>0011101=>7
[6,3,5,1,4,2,8,7]=>0011101=>7
[8,3,5,2,4,1,7,6]=>0011011=>7
[8,3,7,5,6,2,4,1]=>0010111=>7
[8,3,7,2,4,1,6,5]=>0010111=>7
[8,3,5,1,4,2,7,6]=>0011011=>7
[8,1,5,3,4,2,7,6]=>0011011=>7
[8,4,5,1,3,2,7,6]=>0101011=>7
[2,1,8,4,5,3,7,6]=>1001011=>7
[8,6,7,4,5,1,3,2]=>0101011=>7
[8,6,7,1,5,3,4,2]=>0011011=>7
[8,6,7,3,5,1,4,2]=>0011011=>7
[8,3,7,5,6,1,4,2]=>0010111=>7
[8,5,7,3,6,1,4,2]=>0010111=>7
[8,3,7,4,6,2,5,1]=>0001111=>7
[8,3,7,4,6,1,5,2]=>0001111=>7
[8,3,7,1,6,4,5,2]=>0001111=>7
[8,1,7,3,6,4,5,2]=>0001111=>7
[8,1,7,5,6,3,4,2]=>0010111=>7
[8,4,7,5,6,1,3,2]=>0100111=>7
[2,1,8,4,7,5,6,3]=>1000111=>7
[8,1,7,3,4,2,6,5]=>0010111=>7
[8,1,7,3,6,2,5,4]=>0001111=>7
[8,3,7,1,6,2,5,4]=>0001111=>7
[8,3,7,2,6,4,5,1]=>0001111=>7
[8,2,7,3,6,4,5,1]=>0001111=>7
[8,2,7,3,6,1,5,4]=>0001111=>7
[8,2,7,1,6,3,5,4]=>0001111=>7
[8,1,7,2,4,3,6,5]=>0010111=>7
[8,1,3,2,7,4,6,5]=>0100111=>7
[2,1,8,3,7,4,6,5]=>1000111=>7
[8,1,5,2,4,3,7,6]=>0011011=>7
[8,2,7,1,4,3,6,5]=>0010111=>7
[8,2,7,3,4,1,6,5]=>0010111=>7
[8,2,7,5,6,3,4,1]=>0010111=>7
[8,4,7,5,6,2,3,1]=>0100111=>7
[8,4,7,2,3,1,6,5]=>0100111=>7
[8,2,3,1,7,4,6,5]=>0100111=>7
[8,2,3,1,5,4,7,6]=>0101011=>7
[4,2,3,1,8,5,7,6]=>0110011=>7
[4,1,3,2,8,6,7,5]=>0110011=>7
[8,6,7,2,3,1,5,4]=>0101011=>7
[8,2,3,1,7,5,6,4]=>0100111=>7
[8,5,7,2,6,3,4,1]=>0010111=>7
[8,5,7,2,6,1,4,3]=>0010111=>7
[8,2,7,5,6,1,4,3]=>0010111=>7
[8,6,7,2,5,1,4,3]=>0011011=>7
[8,6,7,1,5,2,4,3]=>0011011=>7
[8,6,7,1,3,2,5,4]=>0101011=>7
[2,1,8,6,7,3,5,4]=>1001011=>7
[2,1,8,3,7,5,6,4]=>1000111=>7
[8,1,3,2,7,5,6,4]=>0100111=>7
[8,1,7,5,6,2,4,3]=>0010111=>7
[8,1,7,2,6,4,5,3]=>0001111=>7
[8,2,7,1,6,4,5,3]=>0001111=>7
[8,2,7,4,6,1,5,3]=>0001111=>7
[8,2,7,4,6,3,5,1]=>0001111=>7
[8,4,7,2,6,3,5,1]=>0001111=>7
[8,4,7,2,6,1,5,3]=>0001111=>7
[8,4,7,1,6,2,5,3]=>0001111=>7
[8,1,7,4,6,2,5,3]=>0001111=>7
[8,5,7,1,6,2,4,3]=>0010111=>7
[2,1,8,5,7,3,6,4]=>1000111=>7
[8,5,7,4,6,1,3,2]=>0100111=>7
[8,5,7,1,6,3,4,2]=>0010111=>7
[8,1,7,4,6,3,5,2]=>0001111=>7
[8,4,7,1,6,3,5,2]=>0001111=>7
[8,4,7,3,6,1,5,2]=>0001111=>7
[2,4,8,3,6,1,7,5]=>0000111=>7
[6,5,8,1,3,2,7,4]=>0100111=>7
[4,5,8,6,3,2,7,1]=>0100111=>7
[6,5,8,7,3,1,2,4]=>0100111=>7
[1,5,8,7,3,6,2,4]=>0000111=>7
[1,7,2,8,4,6,5,3]=>0001111=>7
[6,7,2,8,4,1,5,3]=>0011011=>7
[3,6,2,8,4,5,7,1]=>0000111=>7
[2,6,1,8,4,5,7,3]=>0000111=>7
[2,8,4,6,1,5,7,3]=>0000111=>7
[6,3,1,8,4,5,7,2]=>0100111=>7
[3,1,6,8,4,5,7,2]=>0100011=>7
[2,3,6,8,4,5,7,1]=>0000011=>7
[6,3,7,8,4,1,5,2]=>0011101=>7
[1,3,7,8,4,6,5,2]=>0001101=>7
[1,5,7,8,2,4,6,3]=>0000101=>7
[5,1,7,8,2,4,6,3]=>0001101=>7
[3,6,7,8,4,2,5,1]=>0011001=>7
[7,6,1,8,4,2,5,3]=>0011111=>7
[5,6,8,7,3,2,1,4]=>1100011=>7
[2,8,3,7,1,6,5,4]=>0001111=>7
[5,2,8,7,3,6,1,4]=>0001111=>7
[7,2,1,8,4,6,5,3]=>1001111=>7
[3,2,7,8,4,6,5,1]=>0101101=>7
[5,2,7,8,1,4,6,3]=>0001101=>7
[1,2,7,8,5,4,6,3]=>0001101=>7
[4,2,1,3,8,5,6,7]=>1010001=>7
[7,2,5,8,3,4,6,1]=>0000111=>7
[6,2,8,5,4,3,1,7]=>0111101=>7
[2,8,3,5,4,1,6,7]=>0011001=>7
[2,8,4,5,3,1,6,7]=>0101001=>7
[6,4,8,5,2,3,1,7]=>0101101=>7
[7,3,5,8,2,4,6,1]=>0000111=>7
[4,3,1,2,8,5,6,7]=>0110001=>7
[3,4,2,1,8,5,6,7]=>1010001=>7
[2,7,6,8,4,3,5,1]=>0011011=>7
[5,7,1,8,3,4,6,2]=>0000111=>7
[3,7,5,8,1,4,6,2]=>0000111=>7
[1,7,5,8,3,4,6,2]=>0000111=>7
[1,6,8,5,4,3,2,7]=>0111001=>7
[4,6,8,5,1,3,2,7]=>0101001=>7
[5,6,8,1,4,3,2,7]=>0110001=>7
[7,5,8,6,3,4,2,1]=>1010111=>7
[2,4,8,3,6,5,1,7]=>0001101=>7
[2,8,4,1,5,6,3,7]=>0010101=>7
[4,1,8,3,5,6,2,7]=>0010101=>7
[5,6,8,4,1,3,2,7]=>0110001=>7
[4,6,8,1,5,3,2,7]=>0101001=>7
[1,6,8,4,5,3,2,7]=>0101001=>7
[1,7,3,8,5,4,6,2]=>0001111=>7
[3,7,1,8,5,4,6,2]=>0001111=>7
[2,7,3,8,4,6,5,1]=>0001111=>7
[7,1,3,8,4,6,5,2]=>0001111=>7
[5,7,8,4,3,6,1,2]=>0010101=>7
[2,8,7,4,1,6,5,3]=>0011111=>7
[2,8,5,4,3,1,6,7]=>0111001=>7
[6,5,8,4,2,3,1,7]=>0110101=>7
[4,1,3,2,8,5,6,7]=>0110001=>7
[1,4,3,2,8,5,6,7]=>0110001=>7
[7,3,2,8,5,4,6,1]=>0101111=>7
[6,4,8,2,5,3,1,7]=>0101101=>7
[2,8,4,3,5,1,6,7]=>0011001=>7
[2,8,3,4,5,1,6,7]=>0001001=>7
[6,2,8,4,5,3,1,7]=>0101101=>7
[7,2,3,8,5,4,6,1]=>0001111=>7
[4,2,3,1,8,5,6,7]=>0110001=>7
[3,2,1,4,8,5,6,7]=>1100001=>7
[5,1,3,2,4,8,6,7]=>0101001=>7
[2,8,1,5,3,4,7,6]=>0001011=>7
[1,2,8,4,5,3,7,6]=>0001011=>7
[1,4,2,8,5,3,6,7]=>0011001=>7
[1,8,4,2,5,3,6,7]=>0011001=>7
[8,1,5,3,2,4,6,7]=>0101001=>7
[3,8,1,5,2,4,6,7]=>0001001=>7
[3,5,1,4,8,2,6,7]=>0001001=>7
[1,5,2,8,4,3,6,7]=>0011001=>7
[1,2,8,5,4,3,6,7]=>0011001=>7
[1,2,5,4,3,8,6,7]=>0011001=>7
[1,2,4,8,5,3,7,6]=>0001011=>7
[1,2,7,4,8,5,3,6]=>0001011=>7
[1,5,2,7,8,4,3,6]=>0011001=>7
[5,1,2,7,4,8,3,6]=>0001011=>7
[8,3,5,1,4,7,2,6]=>0001011=>7
[2,8,1,5,4,7,3,6]=>0001011=>7
[1,2,8,5,7,4,3,6]=>0010011=>7
[1,2,4,8,7,5,3,6]=>0001011=>7
[2,8,1,4,3,7,6,5]=>0010111=>7
[6,1,2,8,7,4,3,5]=>0010111=>7
[6,4,1,2,8,7,3,5]=>0010111=>7
[3,6,4,8,1,7,2,5]=>0000111=>7
[7,6,1,4,2,8,3,5]=>0010111=>7
[7,1,6,2,8,4,3,5]=>0010111=>7
[1,6,7,2,8,4,3,5]=>0010011=>7
[6,7,1,4,2,8,3,5]=>0010011=>7
[6,3,7,1,4,8,2,5]=>0000111=>7
[3,7,8,1,5,2,4,6]=>0001001=>7
[7,1,2,8,5,3,4,6]=>0001011=>7
[1,7,2,8,4,5,3,6]=>0001011=>7
[1,4,2,7,8,5,3,6]=>0011001=>7
[6,1,2,8,4,3,7,5]=>0010111=>7
[6,4,1,2,8,3,7,5]=>0010111=>7
[7,6,1,3,2,4,8,5]=>0100111=>7
[6,7,1,3,2,4,8,5]=>0100011=>7
[1,2,7,3,5,8,4,6]=>0000011=>7
[1,2,7,5,8,3,4,6]=>0000011=>7
[5,8,1,3,7,2,4,6]=>0000011=>7
[1,2,5,8,7,3,4,6]=>0000011=>7
[1,2,5,8,3,7,4,6]=>0000011=>7
[2,8,1,7,3,5,4,6]=>0001011=>7
[8,6,1,3,2,4,7,5]=>0100111=>7
[4,2,8,1,7,3,6,5]=>0010111=>7
[2,8,1,7,4,3,6,5]=>0010111=>7
[7,1,2,8,4,3,6,5]=>0010111=>7
[1,2,8,4,7,5,3,6]=>0001011=>7
[1,2,8,7,4,5,3,6]=>0001011=>7
[2,8,1,7,5,3,4,6]=>0001011=>7
[8,3,7,1,5,2,4,6]=>0001011=>7
[3,8,6,1,4,7,2,5]=>0000111=>7
[8,6,1,4,2,7,3,5]=>0010111=>7
[8,1,6,2,7,4,3,5]=>0010111=>7
[7,1,2,8,6,4,3,5]=>0010111=>7
[7,4,1,2,8,6,3,5]=>0010111=>7
[3,7,4,8,1,6,2,5]=>0000111=>7
[3,4,8,7,1,6,2,5]=>0000111=>7
[4,2,8,1,7,6,3,5]=>0010111=>7
[2,8,1,7,6,4,3,5]=>0010111=>7
[7,8,3,4,1,5,2,6]=>0011001=>7
[7,8,3,4,1,6,2,5]=>0010101=>7
[6,8,3,4,1,7,2,5]=>0010011=>7
[6,7,3,4,1,8,2,5]=>0010011=>7
[5,7,3,4,1,8,2,6]=>0010011=>7
[5,8,3,4,1,7,2,6]=>0010011=>7
[5,8,3,4,1,6,2,7]=>0010101=>7
[6,8,3,4,1,5,2,7]=>0011001=>7
[6,7,3,4,1,5,2,8]=>0011010=>7
[5,7,3,4,1,6,2,8]=>0010110=>7
[5,6,2,8,3,4,1,7]=>0010101=>7
[5,6,2,7,3,4,1,8]=>0010110=>7
[4,6,2,8,3,5,1,7]=>0001101=>7
[4,7,3,5,1,6,2,8]=>0001110=>7
[4,8,3,5,1,6,2,7]=>0001101=>7
[4,8,3,5,1,7,2,6]=>0001011=>7
[4,7,3,5,1,8,2,6]=>0001011=>7
[5,6,2,3,1,7,4,8]=>0100110=>7
[5,6,2,4,1,8,3,7]=>0010101=>7
[5,6,2,4,1,7,3,8]=>0010110=>7
[4,6,2,5,1,7,3,8]=>0001110=>7
[4,6,2,5,1,8,3,7]=>0001101=>7
[4,5,1,8,3,7,2,6]=>0001011=>7
[4,5,1,7,3,8,2,6]=>0001011=>7
[4,6,2,7,3,8,1,5]=>0000111=>7
[5,6,2,7,3,8,1,4]=>0000111=>7
[5,6,2,7,4,8,1,3]=>0000111=>7
[5,6,3,8,4,7,1,2]=>0000111=>7
[5,6,2,8,4,7,1,3]=>0000111=>7
[5,6,2,8,3,7,1,4]=>0000111=>7
[4,6,2,8,3,7,1,5]=>0000111=>7
[4,5,1,7,3,6,2,8]=>0001110=>7
[4,5,1,8,3,6,2,7]=>0001101=>7
[9,2,1,3,4,5,6,7,8]=>10000001=>8
[10,2,1,3,4,5,6,7,8,9]=>100000001=>9
[9,2,3,1,4,5,6,7,8]=>01000001=>8
[4,2,3,5,6,7,8,9,1]=>00100001=>8
[3,4,2,5,6,7,8,9,1]=>00100001=>8
[3,2,4,5,6,7,8,9,10,1]=>010000001=>9
[2,3,4,5,6,7,8,9,10,11,1]=>0000000001=>10
[6,5,3,2,1,4,8,7]=>1101101=>7
[4,6,3,5,2,1,8,7]=>1001101=>7
[8,7,3,5,2,4,1,6]=>0011011=>7
[6,8,2,4,5,7,3,1]=>0100011=>7
[8,7,2,4,5,3,1,6]=>0101011=>7
[3,6,1,4,5,2,8,7]=>0001101=>7
[8,3,7,4,5,2,1,6]=>1001011=>7
[6,3,8,4,5,7,2,1]=>1000111=>7
[5,8,7,4,3,6,2,1]=>1010111=>7
[2,8,7,4,3,6,1,5]=>0010111=>7
[8,1,7,4,3,6,2,5]=>0010111=>7
[8,7,3,5,1,4,2,6]=>0011011=>7
[2,1,6,8,5,7,4,3]=>1010011=>7
[6,8,3,5,1,7,4,2]=>0011011=>7
[5,1,8,4,7,6,3,2]=>0101111=>7
[2,5,8,4,7,6,3,1]=>0100111=>7
[4,3,8,1,5,6,7,2]=>0010011=>7
[4,8,1,3,5,6,7,2]=>0000011=>7
[5,8,7,4,1,6,3,2]=>0110111=>7
[5,8,3,6,1,4,7,2]=>0000111=>7
[4,8,3,6,1,2,7,5]=>0000111=>7
[3,8,7,4,1,6,2,5]=>0010111=>7
[3,8,1,2,5,6,7,4]=>0000011=>7
[8,7,1,4,2,6,3,5]=>0010111=>7
[8,6,3,1,2,4,7,5]=>0100111=>7
[8,1,7,4,5,2,3,6]=>0001011=>7
[2,8,7,4,5,1,3,6]=>0001011=>7
[8,7,2,4,1,6,3,5]=>0010111=>7
[5,8,3,6,2,4,7,1]=>0000111=>7
[8,6,3,2,1,4,7,5]=>1100111=>7
[8,7,3,5,2,1,4,6]=>1001011=>7
[5,8,3,6,2,1,7,4]=>1000111=>7
[5,8,7,4,2,6,1,3]=>0010111=>7
[2,6,8,4,5,7,1,3]=>0000011=>7
[6,1,8,4,5,7,2,3]=>0000111=>7
[6,8,3,5,1,7,2,4]=>0001011=>7
[2,1,5,8,3,6,7,4]=>1000011=>7
[5,8,3,6,1,2,7,4]=>0000111=>7
[4,1,8,2,5,6,7,3]=>0010011=>7
[2,4,8,1,5,6,7,3]=>0000011=>7
[4,8,2,1,5,6,7,3]=>1000011=>7
[3,4,8,2,5,6,7,1]=>0000011=>7
[5,8,1,4,7,6,2,3]=>0000111=>7
[5,8,3,1,6,2,7,4]=>0100111=>7
[4,5,3,8,6,1,7,2]=>0001111=>7
[3,4,1,8,5,6,7,2]=>0010011=>7
[2,4,6,8,10,1,3,5,7,9]=>000000001=>9
[2,4,6,9,10,1,3,5,7,8]=>000000001=>9
[2,4,7,8,10,1,3,5,6,9]=>000000001=>9
[2,4,7,9,10,1,3,5,6,8]=>000000001=>9
[2,4,8,9,10,1,3,5,6,7]=>000000001=>9
[2,5,6,8,10,1,3,4,7,9]=>000000001=>9
[2,5,6,9,10,1,3,4,7,8]=>000000001=>9
[2,5,7,8,10,1,3,4,6,9]=>000000001=>9
[2,5,7,9,10,1,3,4,6,8]=>000000001=>9
[2,5,8,9,10,1,3,4,6,7]=>000000001=>9
[2,6,7,8,10,1,3,4,5,9]=>000000001=>9
[2,6,7,9,10,1,3,4,5,8]=>000000001=>9
[2,6,8,9,10,1,3,4,5,7]=>000000001=>9
[2,7,8,9,10,1,3,4,5,6]=>000000001=>9
[3,4,6,8,10,1,2,5,7,9]=>000000001=>9
[3,4,6,9,10,1,2,5,7,8]=>000000001=>9
[3,4,7,8,10,1,2,5,6,9]=>000000001=>9
[3,4,7,9,10,1,2,5,6,8]=>000000001=>9
[3,4,8,9,10,1,2,5,6,7]=>000000001=>9
[3,5,6,8,10,1,2,4,7,9]=>000000001=>9
[3,5,6,9,10,1,2,4,7,8]=>000000001=>9
[3,5,7,8,10,1,2,4,6,9]=>000000001=>9
[3,5,7,9,10,1,2,4,6,8]=>000000001=>9
[3,5,8,9,10,1,2,4,6,7]=>000000001=>9
[3,6,7,8,10,1,2,4,5,9]=>000000001=>9
[3,6,7,9,10,1,2,4,5,8]=>000000001=>9
[3,6,8,9,10,1,2,4,5,7]=>000000001=>9
[3,7,8,9,10,1,2,4,5,6]=>000000001=>9
[4,5,6,8,10,1,2,3,7,9]=>000000001=>9
[4,5,6,9,10,1,2,3,7,8]=>000000001=>9
[4,5,7,8,10,1,2,3,6,9]=>000000001=>9
[4,5,7,9,10,1,2,3,6,8]=>000000001=>9
[4,5,8,9,10,1,2,3,6,7]=>000000001=>9
[4,6,7,8,10,1,2,3,5,9]=>000000001=>9
[4,6,7,9,10,1,2,3,5,8]=>000000001=>9
[4,6,8,9,10,1,2,3,5,7]=>000000001=>9
[4,7,8,9,10,1,2,3,5,6]=>000000001=>9
[5,6,7,8,10,1,2,3,4,9]=>000000001=>9
[5,6,7,9,10,1,2,3,4,8]=>000000001=>9
[5,6,8,9,10,1,2,3,4,7]=>000000001=>9
[5,7,8,9,10,1,2,3,4,6]=>000000001=>9
[4,5,7,6,2,3,8,1]=>0000111=>7
[3,5,7,2,6,4,8,1]=>0000111=>7
[2,5,7,3,6,4,8,1]=>0000111=>7
[1,5,7,3,6,8,4,2]=>0010011=>7
[8,4,3,7,6,1,5,2]=>0011111=>7
[6,7,2,3,5,4,8,1]=>0001011=>7
[5,2,7,3,6,4,8,1]=>0001111=>7
[8,3,4,7,6,1,5,2]=>0001111=>7
[8,2,4,7,1,6,5,3]=>0001111=>7
[3,1,4,7,6,8,5,2]=>0101011=>7
[4,1,3,7,6,8,5,2]=>0011011=>7
[5,1,7,3,6,8,4,2]=>0011011=>7
[6,7,1,3,5,8,4,2]=>0010011=>7
[5,8,7,3,6,1,4,2]=>0010111=>7
[4,8,3,7,6,1,5,2]=>0001111=>7
[3,8,4,7,6,1,5,2]=>0001111=>7
[2,8,4,7,1,6,5,3]=>0001111=>7
[8,1,4,7,2,6,5,3]=>0001111=>7
[8,1,3,2,7,6,5,4]=>0101111=>7
[2,8,3,1,7,6,5,4]=>0101111=>7
[3,8,2,1,7,6,5,4]=>1001111=>7
[6,7,1,2,8,5,4,3]=>0011011=>7
[8,2,3,1,7,6,5,4]=>0101111=>7
[8,3,2,1,7,6,5,4]=>1101111=>7
[3,4,1,7,6,8,5,2]=>0011011=>7
[1,4,2,7,8,6,5,3]=>0011101=>7
[8,4,2,7,1,6,5,3]=>0011111=>7
[8,5,7,2,1,6,4,3]=>1010111=>7
[1,5,7,2,8,6,4,3]=>0010111=>7
[2,5,7,1,8,6,4,3]=>0010111=>7
[3,5,7,1,6,8,4,2]=>0010011=>7
[6,7,4,5,8,1,3,2]=>0100011=>7
[5,4,7,6,8,1,3,2]=>0101011=>7
[2,5,7,8,1,6,4,3]=>0010101=>7
[1,5,7,8,2,6,4,3]=>0010101=>7
[8,5,7,1,2,6,4,3]=>0010111=>7
[8,4,1,7,2,6,5,3]=>0011111=>7
[1,4,8,7,2,6,5,3]=>0001111=>7
[3,4,8,7,6,1,5,2]=>0001111=>7
[4,3,8,7,6,1,5,2]=>0011111=>7
[5,3,7,8,6,1,4,2]=>0011101=>7
[6,7,2,8,1,5,4,3]=>0011011=>7
[5,2,7,8,1,6,4,3]=>0011101=>7
[4,2,8,7,1,6,5,3]=>0011111=>7
[3,2,8,1,7,6,5,4]=>0101111=>7
[1,3,8,2,7,6,5,4]=>0001111=>7
[8,3,1,2,7,6,5,4]=>0101111=>7
[8,2,1,3,7,6,5,4]=>1001111=>7
[1,2,8,3,7,6,5,4]=>0001111=>7
[2,1,8,3,7,6,5,4]=>1001111=>7
[4,1,8,7,2,6,5,3]=>0011111=>7
[5,1,7,8,2,6,4,3]=>0011101=>7
[6,7,1,8,2,5,4,3]=>0011011=>7
[5,8,7,1,2,6,4,3]=>0010111=>7
[4,8,1,7,2,6,5,3]=>0001111=>7
[3,8,1,2,7,6,5,4]=>0001111=>7
[2,8,1,3,7,6,5,4]=>0001111=>7
[1,8,2,3,7,6,5,4]=>0001111=>7
[8,1,2,3,7,6,5,4]=>0001111=>7
[3,1,4,5,6,7,8,9,10,2]=>010000001=>9
[2,3,4,5,6,7,8,9,11,1,10]=>0000000001=>10
[10,3,4,5,6,7,8,1,2,9]=>000000101=>9
[10,1,4,5,6,7,8,9,2,3]=>000000011=>9
[11,3,4,5,6,7,8,9,1,2,10]=>0000000101=>10
[2,10,4,5,6,7,8,1,3,9]=>000000101=>9
[8,3,4,5,6,7,1,10,2,9]=>000001101=>9
[3,1,10,5,6,7,8,9,2,4]=>010000011=>9
[9,1,4,5,6,7,8,2,10,3]=>000000111=>9
[11,1,4,5,6,7,8,9,10,2,3]=>0000000011=>10
[6,7,1,8,4,5,2,3]=>0001011=>7
[3,7,1,5,8,2,6,4]=>0000111=>7
[2,7,1,5,8,3,6,4]=>0000111=>7
[2,6,5,1,8,3,7,4]=>0001111=>7
[3,6,5,1,8,2,7,4]=>0001111=>7
[4,6,5,1,8,7,2,3]=>0001111=>7
[5,6,4,1,8,7,2,3]=>0010111=>7
[8,1,4,5,7,6,2,3]=>0000111=>7
[6,4,5,1,8,7,2,3]=>0001111=>7
[5,4,6,1,8,7,2,3]=>0001111=>7
[4,5,6,1,8,7,2,3]=>0000111=>7
[3,5,6,1,8,2,7,4]=>0000111=>7
[2,5,6,1,8,3,7,4]=>0000111=>7
[2,4,6,1,3,8,7,5]=>0000111=>7
[3,4,6,1,2,8,7,5]=>0000111=>7
[4,3,6,1,2,8,7,5]=>0010111=>7
[5,3,6,1,8,2,7,4]=>0001111=>7
[7,3,1,5,8,2,6,4]=>0100111=>7
[8,1,3,5,7,2,6,4]=>0000111=>7
[8,1,2,5,7,3,6,4]=>0000111=>7
[7,2,1,5,8,3,6,4]=>1000111=>7
[6,2,5,1,8,3,7,4]=>0001111=>7
[4,2,6,1,3,8,7,5]=>0010111=>7
[2,3,6,1,4,8,7,5]=>0000111=>7
[4,2,5,3,1,8,7,6]=>0111011=>7
[6,2,4,1,3,8,7,5]=>0010111=>7
[7,2,1,4,3,8,6,5]=>1010111=>7
[8,1,2,4,3,7,6,5]=>0010111=>7
[8,1,3,4,2,7,6,5]=>0010111=>7
[7,3,1,4,2,8,6,5]=>0110111=>7
[6,3,4,1,2,8,7,5]=>0010111=>7
[4,6,3,1,2,8,7,5]=>0100111=>7
[3,6,4,1,2,8,7,5]=>0010111=>7
[2,6,4,1,3,8,7,5]=>0010111=>7
[2,7,1,4,3,8,6,5]=>0010111=>7
[3,7,1,4,2,8,6,5]=>0010111=>7
[4,7,1,3,2,8,6,5]=>0100111=>7
[8,1,6,7,2,3,5,4]=>0001011=>7
[4,7,1,2,3,8,6,5]=>0000111=>7
[3,7,1,2,4,8,6,5]=>0000111=>7
[2,7,1,3,4,8,6,5]=>0000111=>7
[2,6,3,1,4,8,7,5]=>0100111=>7
[3,6,2,1,4,8,7,5]=>1000111=>7
[5,6,2,1,8,3,7,4]=>1000111=>7
[6,5,2,1,8,3,7,4]=>1001111=>7
[8,1,5,2,7,3,6,4]=>0001111=>7
[8,1,4,2,3,7,6,5]=>0010111=>7
[7,4,1,2,3,8,6,5]=>0010111=>7
[6,4,2,1,3,8,7,5]=>1010111=>7
[5,4,2,3,1,8,7,6]=>0111011=>7
[3,5,2,4,1,8,7,6]=>0011011=>7
[6,3,2,1,4,8,7,5]=>1100111=>7
[7,3,1,2,4,8,6,5]=>0100111=>7
[8,1,3,2,4,7,6,5]=>0100111=>7
[8,1,2,3,4,7,6,5]=>0000111=>7
[7,2,1,3,4,8,6,5]=>1000111=>7
[6,2,3,1,4,8,7,5]=>0100111=>7
[2,4,3,6,1,5,8,7]=>0010101=>7
[2,4,3,6,5,8,1,7]=>0010101=>7
[2,4,6,3,5,8,7,1]=>0000111=>7
[2,4,6,3,5,8,1,7]=>0000101=>7
[2,4,6,3,5,1,8,7]=>0001101=>7
[2,4,6,3,1,5,8,7]=>0100101=>7
[2,4,1,6,5,3,8,7]=>0011101=>7
[2,4,6,1,5,3,8,7]=>0001101=>7
[4,2,6,5,3,1,8,7]=>0111101=>7
[4,2,6,5,1,3,8,7]=>0011101=>7
[4,2,6,5,1,8,7,3]=>0011111=>7
[4,2,6,5,8,1,7,3]=>0010111=>7
[4,2,6,5,8,1,3,7]=>0010101=>7
[4,2,6,5,8,3,1,7]=>0110101=>7
[2,4,6,1,5,8,3,7]=>0000101=>7
[2,4,1,6,5,8,3,7]=>0010101=>7
[2,1,4,6,5,8,3,7]=>1000101=>7
[2,4,1,6,5,8,7,3]=>0010111=>7
[2,4,6,1,5,8,7,3]=>0000111=>7
[4,2,6,5,3,8,7,1]=>0011111=>7
[4,2,6,5,8,3,7,1]=>0010111=>7
[2,6,4,3,8,7,1,5]=>0010111=>7
[2,6,4,3,8,7,5,1]=>0011111=>7
[4,2,6,8,5,3,7,1]=>0011011=>7
[2,4,6,8,1,5,7,3]=>0000011=>7
[2,4,6,1,8,5,7,3]=>0000111=>7
[2,4,1,6,8,5,7,3]=>0010011=>7
[2,1,4,6,8,5,7,3]=>1000011=>7
[2,1,4,6,8,5,3,7]=>1001001=>7
[2,4,1,6,8,5,3,7]=>0011001=>7
[2,4,6,1,8,5,3,7]=>0001101=>7
[2,4,6,8,1,5,3,7]=>0001001=>7
[4,2,6,8,5,3,1,7]=>0111001=>7
[4,2,6,8,5,1,3,7]=>0011001=>7
[4,2,6,8,5,1,7,3]=>0011011=>7
[2,4,6,8,3,5,7,1]=>0000011=>7
[2,4,6,8,3,5,1,7]=>0001001=>7
[2,4,6,8,3,1,5,7]=>0100001=>7
[2,4,6,3,1,8,5,7]=>0100101=>7
[2,4,6,3,8,1,5,7]=>0000101=>7
[2,4,6,3,8,5,1,7]=>0001101=>7
[2,4,6,3,8,5,7,1]=>0000111=>7
[2,4,3,6,8,5,7,1]=>0010011=>7
[2,4,3,6,8,5,1,7]=>0011001=>7
[2,4,3,6,8,1,5,7]=>0010001=>7
[2,4,3,6,1,8,5,7]=>0010101=>7
[2,4,3,1,6,8,5,7]=>0110001=>7
[2,4,1,3,6,8,7,5]=>0010011=>7
[2,4,3,6,1,8,7,5]=>0010111=>7
[2,4,3,6,8,1,7,5]=>0010011=>7
[4,6,5,2,8,7,3,1]=>0101111=>7
[4,6,5,2,8,7,1,3]=>0001111=>7
[4,6,2,5,8,7,1,3]=>0000111=>7
[4,6,2,5,8,7,3,1]=>0100111=>7
[2,4,6,3,8,1,7,5]=>0000111=>7
[2,4,6,3,1,8,7,5]=>0100111=>7
[2,4,1,6,3,8,7,5]=>0010111=>7
[2,1,4,6,3,8,7,5]=>1000111=>7
[2,1,4,6,8,3,7,5]=>1000011=>7
[2,4,1,6,8,3,7,5]=>0010011=>7
[2,4,6,1,8,3,7,5]=>0000111=>7
[2,4,6,8,1,3,7,5]=>0000011=>7
[2,4,6,8,3,1,7,5]=>0100011=>7
[4,6,2,8,5,7,3,1]=>0100111=>7
[4,6,2,8,5,7,1,3]=>0000111=>7
[6,2,4,8,7,1,3,5]=>0000111=>7
[6,4,2,8,7,5,3,1]=>0111111=>7
[2,6,4,8,1,7,5,3]=>0001111=>7
[2,6,4,1,8,7,5,3]=>0011111=>7
[2,6,1,4,8,7,5,3]=>0001111=>7
[2,1,6,4,8,7,5,3]=>1001111=>7
[2,1,6,4,8,7,3,5]=>1000111=>7
[2,6,1,4,8,7,3,5]=>0000111=>7
[2,6,4,1,8,7,3,5]=>0010111=>7
[2,6,4,8,1,7,3,5]=>0000111=>7
[6,4,2,8,7,5,1,3]=>0011111=>7
[6,2,4,8,7,3,5,1]=>0001111=>7
[6,2,4,8,7,3,1,5]=>0100111=>7
[1,6,4,7,3,8,2,5]=>0000111=>7
[1,3,7,4,5,8,2,6]=>0000011=>7
[5,2,4,7,3,6,8,1]=>0001011=>7
[1,7,6,3,4,8,2,5]=>0000111=>7
[8,1,6,3,7,2,4,5]=>0000111=>7
[7,1,6,3,8,2,4,5]=>0000111=>7
[1,2,7,4,8,3,5,6]=>0000011=>7
[6,1,7,3,4,8,2,5]=>0000111=>7
[2,1,7,4,5,8,3,6]=>1000011=>7
[5,1,4,7,3,8,2,6]=>0001011=>7
[4,3,1,7,5,8,2,6]=>0110011=>7
[2,8,6,3,7,1,4,5]=>0000111=>7
[6,8,1,3,7,2,4,5]=>0000011=>7
[5,8,2,1,7,3,4,6]=>1000011=>7
[5,7,2,1,8,3,4,6]=>1000011=>7
[6,7,1,3,8,2,4,5]=>0000011=>7
[5,1,2,4,8,3,6,7]=>0001001=>7
[4,3,6,1,5,8,2,7]=>0010101=>7
[2,6,1,4,5,8,3,7]=>0000101=>7
[6,5,1,3,4,8,2,7]=>0001101=>7
[1,6,2,4,8,3,5,7]=>0000101=>7
[8,5,1,3,7,2,4,6]=>0001011=>7
[1,5,3,2,8,4,6,7]=>0101001=>7
[6,4,2,1,5,8,3,7]=>1010101=>7
[2,5,3,4,1,8,6,7]=>0011001=>7
[4,3,5,2,1,8,6,7]=>1011001=>7
[2,6,4,8,7,1,3,5]=>0000111=>7
[1,6,4,8,7,2,3,5]=>0000111=>7
[2,7,8,3,6,1,4,5]=>0000101=>7
[4,3,2,8,7,1,5,6]=>0110011=>7
[5,2,4,8,7,1,3,6]=>0001011=>7
[6,2,8,3,7,1,4,5]=>0000111=>7
[5,1,4,8,7,2,3,6]=>0001011=>7
[4,8,2,5,1,3,7,6]=>0001011=>7
[4,7,2,5,1,3,8,6]=>0001011=>7
[3,7,2,1,5,4,8,6]=>1001011=>7
[3,8,2,1,5,4,7,6]=>1001011=>7
[8,3,2,1,5,4,6,7]=>1101001=>7
[8,3,2,1,6,4,5,7]=>1100101=>7
[8,4,2,5,1,6,3,7]=>0011101=>7
[8,3,2,1,5,6,4,7]=>1100101=>7
[8,3,2,1,4,6,5,7]=>1100101=>7
[3,8,2,1,4,5,7,6]=>1000011=>7
[3,7,2,1,4,5,8,6]=>1000011=>7
[3,2,7,1,4,6,8,5]=>0100011=>7
[3,2,8,1,4,6,7,5]=>0100011=>7
[3,2,8,1,4,7,6,5]=>0100111=>7
[3,8,2,1,4,7,5,6]=>1000011=>7
[3,8,2,1,5,7,4,6]=>1000011=>7
[4,8,2,5,1,7,3,6]=>0001011=>7
[4,7,2,5,1,8,3,6]=>0001011=>7
[3,7,2,1,5,8,4,6]=>1000011=>7
[3,7,2,1,4,8,5,6]=>1000011=>7
[3,2,1,7,5,8,6,4]=>1100111=>7
[3,2,7,1,6,8,4,5]=>0100011=>7
[4,2,7,6,1,8,3,5]=>0010111=>7
[4,3,7,6,8,1,2,5]=>0010011=>7
[4,3,8,6,7,1,2,5]=>0010011=>7
[4,2,8,6,1,7,3,5]=>0010111=>7
[3,2,8,1,6,7,4,5]=>0100011=>7
[3,2,1,8,7,5,6,4]=>1100111=>7
[3,8,2,1,7,4,5,6]=>1000011=>7
[3,2,8,1,7,4,6,5]=>0100111=>7
[3,2,8,1,6,4,7,5]=>0100111=>7
[3,2,7,1,6,4,8,5]=>0100111=>7
[4,2,7,6,1,3,8,5]=>0010111=>7
[4,2,8,6,1,3,7,5]=>0010111=>7
[4,2,8,7,1,3,6,5]=>0010111=>7
[5,7,8,3,4,1,2,6]=>0010001=>7
[4,2,7,8,1,3,6,5]=>0010101=>7
[4,2,6,8,1,3,7,5]=>0010011=>7
[4,2,6,7,1,3,8,5]=>0010011=>7
[3,2,6,1,8,4,7,5]=>0100111=>7
[3,7,2,1,8,4,5,6]=>1000011=>7
[3,7,2,1,8,5,4,6]=>1001011=>7
[4,7,3,8,5,1,2,6]=>0001011=>7
[4,3,7,8,6,1,2,5]=>0010101=>7
[3,2,7,1,8,6,4,5]=>0100111=>7
[3,2,1,6,8,5,7,4]=>1100011=>7
[3,2,6,1,8,7,4,5]=>0100111=>7
[4,2,6,8,1,7,3,5]=>0010011=>7
[4,3,6,8,7,1,2,5]=>0010011=>7
[4,2,6,7,1,8,3,5]=>0010011=>7
[3,2,6,1,7,8,4,5]=>0100101=>7
[3,4,6,8,7,5,1,2]=>0001011=>7
[5,3,6,4,8,7,1,2]=>0001111=>7
[1,4,6,2,7,8,5,3]=>0001101=>7
[3,1,8,5,4,2,6,7]=>0111001=>7
[1,2,7,5,4,8,6,3]=>0001111=>7
[6,3,7,5,4,8,1,2]=>0001111=>7
[7,3,8,5,4,6,1,2]=>0001111=>7
[3,8,7,5,4,6,1,2]=>0001111=>7
[4,3,6,7,8,5,1,2]=>0011001=>7
[4,5,6,3,8,7,1,2]=>0000111=>7
[3,6,8,5,4,7,1,2]=>0001011=>7
[6,8,3,5,4,7,1,2]=>0001011=>7
[7,6,3,5,4,8,1,2]=>0001111=>7
[1,6,2,5,4,8,7,3]=>0001111=>7
[7,1,2,5,8,3,6,4]=>0000111=>7
[1,8,2,5,7,3,6,4]=>0000111=>7
[6,2,1,5,4,8,7,3]=>1001111=>7
[4,1,6,2,8,7,5,3]=>0011111=>7
[7,8,1,2,4,6,5,3]=>0001101=>7
[7,8,3,1,4,2,6,5]=>0110101=>7
[4,3,6,1,8,2,7,5]=>0010111=>7
[2,3,8,5,4,1,6,7]=>0011001=>7
[4,8,1,5,2,3,7,6]=>0001011=>7
[7,5,1,6,4,3,2,8]=>0111110=>7
[5,8,1,6,4,3,2,7]=>0110101=>7
[6,1,5,7,4,3,2,8]=>0110110=>7
[1,5,8,6,4,3,2,7]=>0110101=>7
[3,4,6,1,5,8,2,7]=>0000101=>7
[7,8,4,1,5,3,2,6]=>0111001=>7
[7,8,5,1,6,3,2,4]=>0101101=>7
[2,6,1,5,7,3,8,4]=>0000111=>7
[1,6,8,7,4,3,2,5]=>0110011=>7
[6,8,1,7,4,3,2,5]=>0110011=>7
[5,6,1,7,4,3,2,8]=>0110110=>7
[5,1,7,6,4,3,2,8]=>0111110=>7
[6,1,7,8,4,3,2,5]=>0110101=>7
[7,1,8,6,4,3,2,5]=>0110111=>7
[1,8,7,6,4,3,2,5]=>0110111=>7
[2,1,7,5,6,3,8,4]=>1000111=>7
[3,1,6,7,5,8,2,4]=>0100011=>7
[7,8,1,6,5,3,2,4]=>0101101=>7
[7,8,2,1,4,5,6,3]=>1000101=>7
[2,8,1,5,4,6,7,3]=>0001011=>7
[7,2,1,5,4,6,8,3]=>1001011=>7
[1,2,8,5,6,3,7,4]=>0000111=>7
[6,1,2,5,7,3,8,4]=>0000111=>7
[4,2,1,5,6,3,7,8]=>1010100=>7
[4,3,6,1,5,7,2,8]=>0010110=>7
[5,1,6,3,7,8,2,4]=>0001101=>7
[1,3,6,8,5,7,2,4]=>0000011=>7
[2,4,6,3,7,1,8,5]=>0000111=>7
[1,3,6,4,8,7,2,5]=>0000111=>7
[4,1,6,7,3,8,2,5]=>0010011=>7
[5,4,6,1,3,7,2,8]=>0001110=>7
[6,4,1,5,2,3,7,8]=>0011100=>7
[4,1,7,5,2,3,8,6]=>0011011=>7
[1,2,4,5,8,3,7,6]=>0000011=>7
[7,2,3,5,4,1,8,6]=>0011011=>7
[2,8,3,5,4,1,7,6]=>0011011=>7
[4,2,6,3,8,1,7,5]=>0010111=>7
[7,8,2,3,4,1,6,5]=>0010101=>7
[7,8,1,4,6,3,2,5]=>0100101=>7
[3,1,6,4,7,8,2,5]=>0100101=>7
[1,8,5,7,4,3,2,6]=>0110011=>7
[7,1,5,8,4,3,2,6]=>0110011=>7
[5,1,8,7,4,3,2,6]=>0111011=>7
[6,5,1,8,4,3,2,7]=>0111101=>7
[6,5,7,1,4,3,2,8]=>0110110=>7
[7,5,8,1,4,3,2,6]=>0110011=>7
[5,8,7,1,4,3,2,6]=>0110011=>7
[1,5,7,8,4,3,2,6]=>0110001=>7
[2,4,7,5,1,3,8,6]=>0001011=>7
[7,8,4,6,1,3,2,5]=>0100101=>7
[7,8,5,4,1,3,2,6]=>0111001=>7
[3,5,6,4,1,8,2,7]=>0010101=>7
[2,6,4,5,1,3,8,7]=>0001101=>7
[1,6,5,8,4,3,2,7]=>0110101=>7
[6,8,5,1,4,3,2,7]=>0111001=>7
[7,6,5,1,4,3,2,8]=>0111110=>7
[1,2,3,4,5,6,9,7,8]=>00000001=>8
[1,2,3,4,5,8,6,9,7]=>00000011=>8
[1,2,3,4,7,5,8,9,6]=>00000101=>8
[1,2,3,6,4,7,8,9,5]=>00001001=>8
[1,2,5,3,6,7,8,9,4]=>00010001=>4
[1,4,2,5,6,7,8,9,3]=>00100001=>8
[9,8,1,2,3,4,5,6,7]=>00000011=>8
[7,8,9,1,2,3,4,5,6]=>00000001=>8
[9,8,7,1,2,3,4,5,6]=>00000111=>8
[6,7,8,9,1,2,3,4,5]=>00000001=>8
[9,6,7,8,1,2,3,4,5]=>00000011=>8
[8,9,6,7,1,2,3,4,5]=>00000101=>8
[9,8,6,7,1,2,3,4,5]=>00000111=>8
[9,8,7,6,1,2,3,4,5]=>00001111=>8
[9,5,6,7,8,1,2,3,4]=>00000011=>8
[8,9,5,6,7,1,2,3,4]=>00000101=>8
[9,8,5,6,7,1,2,3,4]=>00000111=>8
[9,7,8,5,6,1,2,3,4]=>00001011=>8
[9,8,7,5,6,1,2,3,4]=>00001111=>8
[9,8,7,6,5,1,2,3,4]=>00011111=>8
[7,8,9,4,5,6,1,2,3]=>00001001=>8
[9,7,8,4,5,6,1,2,3]=>00001011=>8
[9,8,7,4,5,6,1,2,3]=>00001111=>8
[8,9,6,7,4,5,1,2,3]=>00010101=>8
[9,8,6,7,4,5,1,2,3]=>00010111=>8
[9,8,7,6,4,5,1,2,3]=>00011111=>8
[9,8,7,6,5,4,1,2,3]=>00111111=>8
[9,7,8,5,6,3,4,1,2]=>00101011=>8
[9,8,7,5,6,3,4,1,2]=>00101111=>8
[9,8,7,6,5,3,4,1,2]=>00111111=>8
[9,8,7,6,5,4,3,1,2]=>01111111=>8
[9,10,1,2,3,4,5,6,7,8]=>000000001=>9
[8,9,10,1,2,3,4,5,6,7]=>000000001=>9
[10,8,9,1,2,3,4,5,6,7]=>000000011=>9
[10,9,8,1,2,3,4,5,6,7]=>000000111=>9
[7,8,9,10,1,2,3,4,5,6]=>000000001=>9
[10,7,8,9,1,2,3,4,5,6]=>000000011=>9
[9,10,7,8,1,2,3,4,5,6]=>000000101=>9
[10,9,7,8,1,2,3,4,5,6]=>000000111=>9
[10,9,8,7,1,2,3,4,5,6]=>000001111=>9
[10,6,7,8,9,1,2,3,4,5]=>000000011=>9
[9,10,6,7,8,1,2,3,4,5]=>000000101=>9
[10,9,6,7,8,1,2,3,4,5]=>000000111=>9
[10,8,9,6,7,1,2,3,4,5]=>000001011=>9
[10,9,8,6,7,1,2,3,4,5]=>000001111=>9
[10,9,8,7,6,1,2,3,4,5]=>000011111=>9
[9,10,5,6,7,8,1,2,3,4]=>000000101=>9
[10,9,5,6,7,8,1,2,3,4]=>000000111=>9
[8,9,10,5,6,7,1,2,3,4]=>000001001=>9
[10,9,8,5,6,7,1,2,3,4]=>000001111=>9
[9,10,7,8,5,6,1,2,3,4]=>000010101=>9
[10,9,7,8,5,6,1,2,3,4]=>000010111=>9
[10,9,8,7,5,6,1,2,3,4]=>000011111=>9
[10,9,8,7,6,5,1,2,3,4]=>000111111=>9
[10,7,8,9,4,5,6,1,2,3]=>000010011=>9
[9,10,7,8,4,5,6,1,2,3]=>000010101=>9
[10,9,7,8,4,5,6,1,2,3]=>000010111=>9
[10,9,8,7,4,5,6,1,2,3]=>000011111=>9
[10,8,9,6,7,4,5,1,2,3]=>000101011=>9
[10,9,8,6,7,4,5,1,2,3]=>000101111=>9
[10,9,8,7,6,4,5,1,2,3]=>000111111=>9
[10,9,8,7,6,5,4,1,2,3]=>001111111=>9
[9,10,7,8,5,6,3,4,1,2]=>001010101=>9
[10,9,7,8,5,6,3,4,1,2]=>001010111=>9
[10,9,8,7,5,6,3,4,1,2]=>001011111=>9
[10,9,8,7,6,5,3,4,1,2]=>001111111=>9
[10,9,8,7,6,5,4,3,1,2]=>011111111=>9
[3,4,6,2,7,1,5,8]=>0000110=>7
[3,6,2,5,4,1,7,8]=>0011100=>7
[3,2,7,5,4,1,6,8]=>0111010=>7
[4,3,6,2,8,1,5,7]=>0010101=>7
[6,1,2,5,4,7,8,3]=>0001101=>7
[6,2,4,5,1,3,7,8]=>0001100=>7
[4,2,8,5,1,3,7,6]=>0011011=>7
[4,3,6,8,1,7,2,5]=>0010011=>7
[5,3,6,4,1,7,2,8]=>0011110=>7
[6,2,1,5,8,3,7,4]=>1000111=>7
[1,6,7,4,8,3,5,2]=>0001011=>7
[1,4,6,3,7,5,8,2]=>0000111=>7
[4,6,7,2,5,8,1,3]=>0000011=>7
[2,4,6,1,7,5,3,8]=>0001110=>7
[2,7,5,4,1,6,3,8]=>0011110=>7
[7,5,4,6,2,8,1,3]=>0001111=>7
[1,7,5,4,3,8,6,2]=>0011111=>7
[1,4,6,3,5,8,7,2]=>0000111=>7
[1,5,8,4,3,6,7,2]=>0010011=>7
[5,4,6,2,7,8,1,3]=>0001101=>7
[2,5,4,1,6,7,3,8]=>0011010=>7
[5,6,3,2,7,1,4,8]=>0100110=>7
[5,6,3,2,7,1,8,4]=>0100111=>7
[8,5,6,3,2,7,1,4]=>0100111=>7
[5,4,6,2,8,1,7,3]=>0001111=>7
[2,4,1,7,8,5,3,6]=>0011001=>7
[2,5,4,1,6,3,8,7]=>0011101=>7
[5,6,3,2,1,8,4,7]=>1100101=>7
[3,5,2,1,6,4,7,8]=>1001100=>7
[6,8,4,3,2,1,5,7]=>1110001=>7
[5,3,8,2,1,6,4,7]=>1001101=>7
[3,7,5,8,2,1,4,6]=>1000011=>7
[7,3,2,8,5,1,6,4]=>0101111=>7
[8,4,6,3,2,1,7,5]=>1100111=>7
[8,6,4,3,2,1,7,5]=>1110111=>7
[7,6,4,3,2,1,8,5]=>1110111=>7
[7,8,4,3,2,1,6,5]=>1110101=>7
[5,4,7,2,1,8,6,3]=>1001111=>7
[7,5,8,3,2,6,1,4]=>0100111=>7
[5,7,3,2,1,6,8,4]=>1100011=>7
[5,7,3,2,1,6,4,8]=>1100110=>7
[6,3,7,2,5,1,8,4]=>0001111=>7
[6,7,8,3,5,2,1,4]=>1001001=>7
[6,2,5,7,8,4,1,3]=>0010101=>7
[2,1,5,7,8,6,3,4]=>1000101=>7
[3,6,7,2,8,1,4,5]=>0000011=>7
[6,3,7,2,8,1,4,5]=>0000111=>7
[3,2,6,1,7,4,5,8]=>0100110=>7
[3,5,2,1,4,7,6,8]=>1001010=>7
[7,3,5,2,1,8,4,6]=>1001011=>7
[2,5,4,1,3,7,8,6]=>0011001=>7
[2,5,8,4,1,3,7,6]=>0010011=>7
[2,4,1,7,8,3,6,5]=>0010101=>7
[3,7,2,8,6,1,4,5]=>0000111=>7
[3,6,8,2,1,7,4,5]=>1000011=>7
[5,3,8,2,1,4,7,6]=>1001011=>7
[4,8,7,3,2,1,5,6]=>1100011=>7
[4,7,3,2,1,5,6,8]=>1100010=>7
[8,4,7,3,2,1,5,6]=>1100011=>7
[8,3,5,2,1,4,7,6]=>1001011=>7
[7,3,2,8,6,1,4,5]=>0100111=>7
[3,5,2,1,4,6,8,7]=>1001001=>7
[7,8,6,5,4,3,2,1,9]=>11111010=>8
[1,8,9,7,6,5,4,3,2]=>01111101=>8
[8,9,7,6,5,4,3,2,1,10]=>111111010=>9
[7,6,8,5,4,3,2,1,9]=>11110110=>8
[6,8,7,5,4,3,2,1,9]=>11110110=>8
[1,8,7,9,6,5,4,3,2]=>01111011=>8
[1,7,9,8,6,5,4,3,2]=>01111011=>8
[1,9,10,8,7,6,5,4,3,2]=>011111101=>9
[7,8,3,5,4,6,1,2]=>0001101=>7
[8,6,3,7,5,2,4,1]=>0011111=>7
[5,4,1,6,3,2,8,7]=>0111101=>7
[5,4,1,6,2,3,8,7]=>0011101=>7
[5,7,1,6,2,8,3,4]=>0000111=>7
[5,7,1,6,2,8,4,3]=>0010111=>7
[2,7,6,5,1,8,3,4]=>0001111=>7
[2,7,6,5,1,8,4,3]=>0011111=>7
[2,3,6,5,1,4,8,7]=>0001101=>7
[2,3,6,4,1,5,8,7]=>0010101=>7
[2,3,6,1,5,4,8,7]=>0001101=>7
[2,7,6,1,4,8,5,3]=>0001111=>7
[2,7,6,1,4,8,3,5]=>0000111=>7
[7,3,5,1,8,4,2,6]=>0011011=>7
[7,3,5,1,8,6,4,2]=>0011111=>7
[2,7,6,1,5,8,4,3]=>0010111=>7
[2,7,6,4,1,8,5,3]=>0011111=>7
[2,1,7,6,3,8,5,4]=>1001111=>7
[2,1,7,6,3,8,4,5]=>1000111=>7
[5,7,3,6,2,8,4,1]=>0010111=>7
[2,7,6,4,1,8,3,5]=>0010111=>7
[7,3,5,1,8,6,2,4]=>0001111=>7
[6,3,5,1,8,2,4,7]=>0001101=>7
[2,3,4,8,7,6,1,5]=>0000111=>7
[2,3,4,8,5,7,1,6]=>0000011=>7
[7,3,5,4,8,1,2,6]=>0001011=>7
[6,4,3,5,8,7,2,1]=>1010111=>7
[2,1,4,5,8,7,3,6]=>1000011=>7
[6,4,3,5,8,7,1,2]=>0010111=>7
[7,3,5,4,8,1,6,2]=>0001111=>7
[2,3,4,8,7,5,6,1]=>0000111=>7
[2,3,4,8,7,5,1,6]=>0001011=>7
[2,7,6,5,4,8,1,3]=>0001111=>7
[7,3,5,6,8,4,1,2]=>0010011=>7
[7,3,5,6,8,1,4,2]=>0010011=>7
[7,3,5,6,8,1,2,4]=>0000011=>7
[6,4,1,5,8,7,2,3]=>0010111=>7
[6,4,1,5,8,7,3,2]=>0110111=>7
[6,4,1,5,8,3,7,2]=>0010111=>7
[5,7,1,6,3,8,2,4]=>0000111=>7
[6,4,1,5,8,3,2,7]=>0110101=>7
[7,4,1,5,8,2,3,6]=>0010011=>7
[7,4,1,5,8,2,6,3]=>0010111=>7
[6,3,5,7,8,2,1,4]=>1000101=>7
[6,3,5,7,8,2,4,1]=>0010101=>7
[2,7,6,4,5,8,3,1]=>0100111=>7
[5,7,3,6,1,8,4,2]=>0010111=>7
[2,1,4,5,8,6,3,7]=>1000101=>7
[7,3,5,4,8,6,2,1]=>1001111=>7
[2,3,4,8,5,6,1,7]=>0000101=>7
[2,3,4,8,7,1,6,5]=>0000111=>7
[2,3,4,8,1,7,6,5]=>0000111=>7
[2,3,4,8,1,6,7,5]=>0000011=>7
[2,3,4,8,5,1,7,6]=>0001011=>7
[6,3,5,4,8,2,7,1]=>0001111=>7
[7,4,3,5,8,2,1,6]=>1010011=>7
[2,1,4,5,8,3,7,6]=>1000011=>7
[7,4,3,5,8,2,6,1]=>0010111=>7
[6,3,5,4,8,2,1,7]=>1001101=>7
[2,3,4,8,5,1,6,7]=>0001001=>7
[2,3,4,8,1,6,5,7]=>0000101=>7
[2,3,4,8,1,5,7,6]=>0000011=>7
[7,8,2,6,1,5,3,4]=>0001101=>7
[7,8,1,6,2,5,3,4]=>0001101=>7
[1,8,6,7,2,5,3,4]=>0001011=>7
[1,8,5,7,2,6,3,4]=>0000111=>7
[5,8,1,7,2,6,3,4]=>0000111=>7
[5,8,2,7,1,6,3,4]=>0000111=>7
[2,8,6,7,1,5,3,4]=>0001011=>7
[2,8,5,7,1,6,3,4]=>0000111=>7
[2,8,1,7,5,6,3,4]=>0000111=>7
[1,8,2,7,5,6,3,4]=>0000111=>7
[1,8,2,7,4,6,3,5]=>0000111=>7
[2,8,1,7,4,6,3,5]=>0000111=>7
[2,8,4,7,1,6,3,5]=>0000111=>7
[4,8,2,7,1,6,3,5]=>0000111=>7
[4,8,1,7,2,6,3,5]=>0000111=>7
[1,8,4,7,2,6,3,5]=>0000111=>7
[4,8,1,7,5,6,2,3]=>0000111=>7
[1,8,4,7,5,6,2,3]=>0000111=>7
[1,8,3,7,5,6,2,4]=>0000111=>7
[3,8,1,7,5,6,2,4]=>0000111=>7
[3,8,1,7,4,6,2,5]=>0000111=>7
[1,8,3,7,4,6,2,5]=>0000111=>7
[1,8,3,7,2,6,4,5]=>0000111=>7
[3,8,1,7,2,6,4,5]=>0000111=>7
[3,8,2,7,1,6,4,5]=>0000111=>7
[3,8,2,7,4,6,1,5]=>0000111=>7
[3,8,2,7,5,6,1,4]=>0000111=>7
[4,8,2,7,5,6,1,3]=>0000111=>7
[4,8,3,7,5,6,1,2]=>0000111=>7
[3,8,4,7,5,6,1,2]=>0000111=>7
[2,8,4,7,5,6,1,3]=>0000111=>7
[2,8,3,7,5,6,1,4]=>0000111=>7
[2,8,3,7,4,6,1,5]=>0000111=>7
[2,8,3,7,1,6,4,5]=>0000111=>7
[2,8,1,7,3,6,4,5]=>0000111=>7
[7,5,2,8,6,4,1,3]=>0011111=>7
[7,5,1,8,6,2,3,4]=>0001111=>7
[7,4,8,6,1,5,2,3]=>0001111=>7
[7,1,8,4,5,2,6,3]=>0001111=>7
[6,8,1,7,4,2,5,3]=>0011011=>7
[1,6,7,4,2,8,5,3]=>0011011=>7
[1,6,7,3,8,5,2,4]=>0001011=>7
[7,1,8,3,5,6,2,4]=>0000111=>7
[7,3,8,6,2,5,1,4]=>0001111=>7
[7,4,2,8,6,1,3,5]=>0010111=>7
[7,3,1,8,4,2,5,6]=>0110011=>7
[7,2,8,4,1,5,3,6]=>0011011=>7
[7,2,8,3,5,1,6,4]=>0001111=>7
[7,2,8,3,4,6,1,5]=>0000111=>7
[1,5,7,8,2,6,3,4]=>0000101=>7
[6,2,3,8,5,7,4,1]=>0010111=>7
[6,2,4,8,5,3,1,7]=>0101101=>7
[6,3,1,4,8,5,2,7]=>0101101=>7
[2,6,3,7,8,5,4,1]=>0011101=>7
[2,6,3,7,8,4,5,1]=>0001101=>7
[2,4,7,3,5,6,8,1]=>0000011=>7
[2,4,7,3,6,8,5,1]=>0001011=>7
[2,5,3,7,8,1,6,4]=>0001101=>7
[3,1,5,4,7,8,2,6]=>0101001=>7
[5,3,1,4,8,2,6,7]=>0101001=>7
[5,2,4,8,6,1,3,7]=>0001101=>7
[5,2,3,8,4,6,7,1]=>0001011=>7
[4,8,2,3,6,1,7,5]=>0000111=>7
[4,8,2,3,5,7,1,6]=>0000011=>7
[1,4,7,8,3,6,2,5]=>0000101=>7
[4,8,1,3,6,7,2,5]=>0000011=>7
[5,3,8,2,4,7,1,6]=>0001011=>7
[5,4,3,8,1,2,7,6]=>0011011=>7
[6,4,2,8,1,3,7,5]=>0010111=>7
[6,3,8,2,5,1,7,4]=>0001111=>7
[6,3,8,1,4,7,2,5]=>0000111=>7
[5,8,1,3,6,2,7,4]=>0000111=>7
[1,5,7,4,2,6,8,3]=>0010011=>7
[5,8,1,4,2,6,3,7]=>0010101=>7
[5,8,4,1,2,7,6,3]=>0010111=>7
[6,5,1,2,8,7,3,4]=>0001111=>7
[6,5,3,1,4,2,8,7]=>0111101=>7
[5,3,1,6,4,2,7,8]=>0111100=>7
[5,2,6,4,1,7,3,8]=>0011110=>7
[4,6,1,7,5,2,8,3]=>0001111=>7
[4,5,1,7,2,6,3,8]=>0001110=>7
[3,5,6,1,2,8,7,4]=>0000111=>7
[3,5,7,1,8,6,2,4]=>0000111=>7
[3,6,2,7,5,1,8,4]=>0001111=>7
[4,2,5,7,1,8,6,3]=>0010111=>7
[3,4,7,2,8,6,1,5]=>0000111=>7
[3,4,5,8,2,7,1,6]=>0000011=>7
[3,4,6,2,8,1,5,7]=>0000101=>7
[3,5,2,6,8,1,7,4]=>0001011=>7
[4,2,5,6,1,3,8,7]=>0010101=>7
[4,3,1,2,5,6,8,7]=>0110001=>7
[5,3,6,8,4,7,2,1]=>1001011=>7
[3,7,2,5,4,8,6,1]=>0001111=>7
[8,4,2,5,7,3,6,1]=>0010111=>7
[4,7,2,5,8,3,6,1]=>0000111=>7
[5,2,6,8,4,3,7,1]=>0011011=>7
[3,1,6,5,4,8,2,7]=>0101101=>7
[4,1,6,5,8,3,2,7]=>0110101=>7
[5,1,6,8,4,3,2,7]=>0111001=>7
[8,5,4,7,6,3,2,1]=>1101111=>7
[5,7,1,8,4,3,2,6]=>0110011=>7
[2,7,1,5,4,3,8,6]=>0011011=>7
[8,2,1,5,4,3,7,6]=>1011011=>7
[8,4,1,5,7,3,2,6]=>0110011=>7
[8,5,6,7,1,3,2,4]=>0100011=>7
[8,4,6,1,7,3,2,5]=>0100111=>7
[8,3,6,1,4,7,2,5]=>0000111=>7
[2,7,6,1,4,3,8,5]=>0010111=>7
[6,7,8,5,1,3,2,4]=>0101001=>7
[5,7,6,8,2,3,4,1]=>0010011=>7
[5,7,2,8,4,3,6,1]=>0010111=>7
[6,7,8,2,4,3,5,1]=>0011001=>7
[4,7,6,2,8,3,5,1]=>0001111=>7
[8,3,6,2,4,7,5,1]=>0001111=>7
[3,7,6,2,4,8,5,1]=>0001111=>7
[5,7,3,8,4,6,2,1]=>1000111=>7
[4,7,3,5,8,6,2,1]=>1000111=>7
[8,7,2,1,4,3,6,5]=>1010111=>7
[8,7,3,1,4,6,2,5]=>0100111=>7
[8,7,6,3,2,5,4,1]=>0111111=>7
[8,7,3,5,1,6,2,4]=>0001111=>7
[8,7,2,5,1,3,6,4]=>0001111=>7
[8,2,6,5,1,3,7,4]=>0001111=>7
[8,4,6,5,7,1,2,3]=>0000111=>7
[5,7,6,8,4,1,2,3]=>0010011=>7
[4,7,6,5,8,1,2,3]=>0000111=>7
[3,7,6,5,1,8,2,4]=>0001111=>7
[8,1,2,3,4,5,6,7,9]=>00000010=>8
[1,9,2,3,4,5,6,7,8]=>00000001=>8
[9,1,2,3,4,5,6,7,8,10]=>000000010=>9
[7,8,1,2,3,4,5,6,9]=>00000010=>8
[1,8,9,2,3,4,5,6,7]=>00000001=>8
[1,10,2,3,4,5,6,7,8,9]=>000000001=>9
[10,1,2,3,4,5,6,7,8,9,11]=>0000000010=>10
[8,9,1,2,3,4,5,6,7,10]=>000000010=>9
[7,1,8,2,3,4,5,6,9]=>00000110=>8
[6,8,1,2,3,4,5,7,9]=>00000010=>8
[1,8,2,9,3,4,5,6,7]=>00000011=>8
[1,7,9,2,3,4,5,6,8]=>00000001=>8
[1,9,10,2,3,4,5,6,7,8]=>000000001=>9
[1,11,2,3,4,5,6,7,8,9,10]=>0000000001=>10
[3,6,4,8,7,5,1,2]=>0001111=>7
[5,6,4,3,8,7,1,2]=>0010111=>7
[1,6,2,4,7,8,5,3]=>0001101=>7
[3,6,2,4,8,1,5,7]=>0000101=>7
[3,4,7,2,8,1,6,5]=>0000111=>7
[1,4,7,2,5,8,6,3]=>0000111=>7
[7,3,8,4,5,6,1,2]=>0000111=>7
[3,5,6,4,8,7,1,2]=>0000111=>7
[4,6,8,5,3,7,1,2]=>0001011=>7
[6,8,5,3,4,7,1,2]=>0001011=>7
[1,6,5,4,2,8,7,3]=>0011111=>7
[1,8,5,2,7,3,6,4]=>0001111=>7
[4,2,7,5,1,8,6,3]=>0011111=>7
[7,8,1,4,2,6,5,3]=>0011101=>7
[1,3,6,4,8,2,5,7]=>0000101=>7
[4,1,7,5,3,2,6,8]=>0111010=>7
[6,5,1,3,4,2,8,7]=>0011101=>7
[4,8,5,3,1,7,2,6]=>0101011=>7
[7,4,5,3,2,8,1,6]=>0101011=>7
[5,8,3,6,1,4,2,7]=>0010101=>7
[2,5,8,6,4,1,3,7]=>0010101=>7
[1,4,6,2,5,8,3,7]=>0000101=>7
[3,6,2,5,8,1,7,4]=>0000111=>7
[1,6,8,7,4,2,3,5]=>0010011=>7
[6,1,7,8,2,4,3,5]=>0010101=>7
[7,1,8,6,3,4,2,5]=>0010111=>7
[7,2,1,4,5,6,8,3]=>1000011=>7
[1,2,8,3,6,5,7,4]=>0000111=>7
[6,1,3,2,7,5,8,4]=>0100111=>7
[1,6,3,8,5,7,2,4]=>0000111=>7
[2,6,4,1,7,5,8,3]=>0010111=>7
[7,6,5,8,1,4,2,3]=>0010111=>7
[5,8,6,7,3,2,1,4]=>1100011=>7
[1,6,4,3,7,2,8,5]=>0010111=>7
[2,6,3,4,8,7,1,5]=>0000111=>7
[7,1,3,4,5,2,8,6]=>0001011=>7
[1,8,3,5,4,2,7,6]=>0011011=>7
[4,1,6,3,8,2,7,5]=>0010111=>7
[7,8,2,4,6,3,1,5]=>0100101=>7
[3,2,6,4,7,8,1,5]=>0100101=>7
[2,8,5,7,4,3,1,6]=>0110011=>7
[7,2,5,8,3,4,1,6]=>0010011=>7
[5,3,8,7,1,2,6,4]=>0001111=>7
[6,5,3,8,2,1,7,4]=>1001111=>7
[7,5,8,4,1,2,3,6]=>0010011=>7
[5,8,7,4,1,3,2,6]=>0110011=>7
[3,5,7,8,4,1,2,6]=>0010001=>7
[1,4,7,5,3,8,2,6]=>0001011=>7
[2,4,6,7,3,1,8,5]=>0100011=>7
[7,8,4,6,3,1,2,5]=>0100101=>7
[2,6,4,5,3,8,1,7]=>0001101=>7
[3,6,5,8,4,2,1,7]=>1010101=>7
[5,6,8,4,2,3,1,7]=>0110001=>7
[6,8,5,4,3,1,2,7]=>0111001=>7
[6,1,4,2,8,5,7,3]=>0010111=>7
[4,8,6,5,3,2,7,1]=>0101111=>7
[8,6,5,1,2,4,7,3]=>0001111=>7
[6,7,5,8,2,1,4,3]=>1010011=>7
[1,7,5,8,2,6,4,3]=>0010111=>7
[1,3,8,5,7,6,2,4]=>0000111=>7
[6,3,8,5,7,1,2,4]=>0000111=>7
[8,3,1,5,6,2,7,4]=>0100111=>7
[6,8,5,2,1,4,7,3]=>1001011=>7
[3,8,2,5,6,1,7,4]=>0000111=>7
[2,8,1,5,6,3,7,4]=>0000111=>7
[8,1,2,5,6,3,7,4]=>0000111=>7
[1,8,2,5,7,6,3,4]=>0000111=>7
[5,1,8,6,2,7,3,4]=>0001111=>7
[2,5,8,6,1,7,3,4]=>0000111=>7
[8,6,1,5,7,2,3,4]=>0000111=>7
[3,8,6,5,7,1,2,4]=>0000111=>7
[7,6,5,8,1,2,4,3]=>0010111=>7
[5,1,7,6,8,4,2,3]=>0011011=>7
[5,1,3,7,8,6,2,4]=>0001101=>7
[7,2,5,8,1,6,4,3]=>0010111=>7
[3,2,8,5,7,6,1,4]=>0100111=>7
[8,2,1,5,7,6,3,4]=>1000111=>7
[5,2,8,6,1,7,3,4]=>0001111=>7
[1,2,8,6,5,7,3,4]=>0000111=>7
[4,2,1,3,6,7,8,5]=>1010001=>7
[8,2,5,6,3,7,1,4]=>0000111=>7
[7,2,6,5,4,1,8,3]=>0011111=>7
[6,1,3,5,4,7,8,2]=>0001101=>7
[6,1,5,3,4,7,8,2]=>0001101=>7
[7,5,6,2,4,1,8,3]=>0010111=>7
[8,5,2,6,3,7,1,4]=>0001111=>7
[4,3,1,2,6,7,8,5]=>0110001=>7
[8,1,6,5,7,3,2,4]=>0100111=>7
[3,5,8,6,2,7,1,4]=>0000111=>7
[5,8,1,6,3,7,2,4]=>0000111=>7
[1,8,5,6,3,7,2,4]=>0000111=>7
[1,7,6,5,4,2,8,3]=>0011111=>7
[5,7,6,1,4,2,8,3]=>0010111=>7
[7,1,4,2,6,5,8,3]=>0010111=>7
[4,1,7,3,5,6,8,2]=>0010011=>7
[2,7,4,1,5,6,8,3]=>0010011=>7
[5,7,6,4,1,2,8,3]=>0010111=>7
[4,7,6,1,5,2,8,3]=>0001111=>7
[1,7,6,4,5,2,8,3]=>0001111=>7
[1,8,3,6,5,7,2,4]=>0000111=>7
[3,8,1,6,5,7,2,4]=>0000111=>7
[8,1,3,5,7,6,2,4]=>0000111=>7
[7,8,5,4,1,6,2,3]=>0011101=>7
[6,1,5,4,3,7,8,2]=>0011101=>7
[7,5,6,4,2,1,8,3]=>1010111=>7
[8,3,2,6,5,7,1,4]=>0100111=>7
[7,4,6,2,5,1,8,3]=>0001111=>7
[6,1,4,3,5,7,8,2]=>0010101=>7
[6,1,3,4,5,7,8,2]=>0000101=>7
[7,2,6,4,5,1,8,3]=>0001111=>7
[8,2,3,6,5,7,1,4]=>0000111=>7
[5,4,7,3,6,8,1,2]=>0001011=>7
[3,4,7,8,5,6,1,2]=>0000101=>7
[3,4,7,2,5,1,6,8]=>0001010=>7
[1,4,7,2,5,8,3,6]=>0000011=>7
[3,6,2,4,7,1,5,8]=>0000110=>7
[6,8,3,4,5,7,1,2]=>0000011=>7
[4,3,6,7,5,8,1,2]=>0010011=>7
[6,3,7,5,8,4,1,2]=>0010111=>7
[7,3,8,6,4,5,1,2]=>0001111=>7
[3,2,7,6,5,1,4,8]=>0101110=>7
[1,2,7,6,5,8,3,4]=>0000111=>7
[4,8,2,6,1,5,3,7]=>0001101=>7
[2,3,8,6,4,1,5,7]=>0010101=>7
[4,3,6,2,5,1,8,7]=>0011101=>7
[7,8,3,2,5,1,4,6]=>0101001=>7
[7,8,1,2,5,6,3,4]=>0000101=>7
[4,1,6,2,5,7,3,8]=>0010110=>7
[6,1,2,5,8,7,3,4]=>0000111=>7
[2,1,8,6,4,7,3,5]=>1000111=>7
[7,1,3,6,8,4,2,5]=>0010011=>7
[1,8,3,6,7,4,5,2]=>0001011=>7
[7,1,5,8,3,6,2,4]=>0000111=>7
[5,1,8,7,2,3,6,4]=>0001111=>7
[6,1,5,7,4,2,8,3]=>0010111=>7
[3,1,6,4,7,2,5,8]=>0100110=>7
[2,4,7,5,1,8,3,6]=>0001011=>7
[6,5,7,1,4,2,3,8]=>0010110=>7
[5,6,8,1,3,2,4,7]=>0100001=>7
[6,8,5,1,3,4,2,7]=>0011001=>7
[2,8,3,4,5,1,7,6]=>0001011=>7
[6,2,4,3,1,5,7,8]=>0110100=>7
[4,2,8,3,1,7,5,6]=>0110011=>7
[1,3,7,4,8,2,5,6]=>0000011=>7
[5,3,7,4,1,6,2,8]=>0011110=>7
[2,4,7,3,6,1,8,5]=>0000111=>7
[5,8,7,6,3,1,2,4]=>0100111=>7
[7,5,6,8,1,4,3,2]=>0110011=>7
[2,4,7,1,6,5,3,8]=>0001110=>7
[1,2,7,8,5,4,3,6]=>0011001=>7
[6,3,1,2,8,4,5,7]=>0100101=>7
[4,2,1,3,6,5,8,7]=>1010101=>7
[2,8,1,4,5,6,3,7]=>0000101=>7
[7,2,1,5,4,6,3,8]=>1001110=>7
[4,2,6,1,8,5,3,7]=>0011101=>7
[7,8,2,1,4,5,3,6]=>1001001=>7
[7,8,4,1,5,3,6,2]=>0011101=>7
[3,4,6,1,5,8,7,2]=>0000111=>7
[7,5,1,6,4,3,8,2]=>0011111=>7
[5,8,1,6,3,4,7,2]=>0000111=>7
[6,5,1,8,2,7,4,3]=>0011111=>7
[6,8,1,7,5,2,3,4]=>0001011=>7
[7,6,1,8,5,3,2,4]=>0101111=>7
[5,6,1,7,4,8,2,3]=>0000111=>7
[3,6,1,5,7,4,2,8]=>0010110=>7
[2,5,6,1,7,4,8,3]=>0000111=>7
[3,1,7,5,6,4,8,2]=>0100111=>7
[5,1,7,6,4,8,3,2]=>0101111=>7
[6,1,7,8,5,3,4,2]=>0011101=>7
[7,1,8,6,5,4,2,3]=>0011111=>7
[2,6,5,7,3,4,8,1]=>0000111=>7
[1,6,4,7,5,8,2,3]=>0000111=>7
[8,5,3,6,2,7,4,1]=>0011111=>7
[1,3,7,4,6,8,2,5]=>0000011=>7
[4,7,5,6,3,2,8,1]=>0100111=>7
[1,7,6,5,4,8,2,3]=>0001111=>7
[8,1,6,5,7,2,4,3]=>0010111=>7
[1,2,7,6,8,3,4,5]=>0000011=>7
[6,1,7,5,3,8,2,4]=>0001111=>7
[2,1,7,5,6,8,3,4]=>1000011=>7
[5,4,1,7,6,8,2,3]=>0011011=>7
[4,8,5,6,2,7,3,1]=>0100111=>7
[3,8,6,4,2,7,5,1]=>0011111=>7
[7,8,5,2,4,6,3,1]=>0101101=>7
[2,8,6,3,7,4,5,1]=>0001111=>7
[7,8,1,6,2,4,5,3]=>0001101=>7
[6,8,1,4,7,2,5,3]=>0001011=>7
[3,8,4,1,7,2,6,5]=>0010111=>7
[5,4,7,1,8,3,2,6]=>0101011=>7
[3,7,4,1,8,5,2,6]=>0011011=>7
[6,7,1,4,8,3,2,5]=>0100011=>7
[2,7,1,8,4,5,3,6]=>0001011=>7
[6,1,2,8,4,3,5,7]=>0010101=>7
[6,5,1,4,3,8,2,7]=>0011101=>7
[1,6,2,5,8,3,4,7]=>0000101=>7
[8,5,1,3,7,2,6,4]=>0001111=>7
[8,4,2,1,7,3,6,5]=>1010111=>7
[7,4,2,1,8,5,3,6]=>1011011=>7
[1,5,4,2,8,3,6,7]=>0011001=>7
[6,4,3,1,5,8,2,7]=>0110101=>7
[3,7,6,8,4,5,2,1]=>1001011=>7
[2,7,6,8,5,3,4,1]=>0011011=>7
[1,7,6,8,5,4,2,3]=>0011011=>7
[1,4,8,6,7,5,2,3]=>0001011=>7
[2,4,8,6,7,3,5,1]=>0001011=>7
[7,3,8,5,4,6,2,1]=>1001111=>7
[3,4,8,5,6,7,2,1]=>1000011=>7
[6,3,5,8,4,7,2,1]=>1000111=>7
[5,4,3,8,6,7,2,1]=>1011011=>7
[5,4,2,8,7,3,6,1]=>0011111=>7
[6,2,5,8,7,3,4,1]=>0010111=>7
[3,2,8,5,7,4,6,1]=>0100111=>7
[1,3,8,7,5,6,2,4]=>0000111=>7
[2,1,8,7,4,6,3,5]=>1000111=>7
[3,1,8,5,7,6,2,4]=>0100111=>7
[6,1,5,8,7,4,2,3]=>0010111=>7
[5,4,1,8,7,6,2,3]=>0011111=>7
[5,8,6,7,4,3,2,1]=>1110011=>7
[4,8,7,5,6,3,2,1]=>1100111=>7
[4,2,1,6,3,5,8,7]=>1010101=>7
[6,2,1,4,3,5,8,7]=>1010101=>7
[6,2,1,4,3,8,5,7]=>1010101=>7
[8,2,1,4,3,6,5,7]=>1010101=>7
[8,2,4,1,3,6,5,7]=>0010101=>7
[6,2,4,1,3,8,5,7]=>0010101=>7
[6,2,4,1,3,5,8,7]=>0010101=>7
[4,2,6,1,3,5,8,7]=>0010101=>7
[2,1,6,4,3,5,8,7]=>1010101=>7
[2,6,1,4,3,5,8,7]=>0010101=>7
[2,6,4,1,3,5,8,7]=>0010101=>7
[4,6,2,1,3,5,8,7]=>1000101=>7
[6,4,2,1,3,5,8,7]=>1010101=>7
[8,4,2,1,3,6,5,7]=>1010101=>7
[8,4,2,1,6,3,5,7]=>1010101=>7
[6,4,2,1,8,3,5,7]=>1010101=>7
[4,6,2,1,8,3,5,7]=>1000101=>7
[2,6,1,4,3,8,5,7]=>0010101=>7
[2,1,6,4,3,8,5,7]=>1010101=>7
[2,1,8,4,3,6,5,7]=>1010101=>7
[2,8,1,4,3,6,5,7]=>0010101=>7
[2,8,4,1,3,6,5,7]=>0010101=>7
[4,8,2,1,3,6,5,7]=>1000101=>7
[4,8,2,1,6,3,5,7]=>1000101=>7
[6,8,2,1,4,3,5,7]=>1010001=>7
[8,6,2,1,4,3,5,7]=>1010101=>7
[2,8,1,4,6,3,5,7]=>0000101=>7
[2,1,8,4,6,3,5,7]=>1000101=>7
[2,1,6,4,8,3,5,7]=>1000101=>7
[2,6,1,4,8,3,5,7]=>0000101=>7
[2,6,4,1,8,3,5,7]=>0010101=>7
[2,6,4,8,1,3,5,7]=>0000101=>7
[4,6,2,8,1,3,5,7]=>0000101=>7
[4,2,6,1,3,8,5,7]=>0010101=>7
[4,2,6,1,8,3,5,7]=>0010101=>7
[6,2,4,1,8,3,5,7]=>0010101=>7
[8,2,4,1,6,3,5,7]=>0010101=>7
[8,2,1,4,6,3,5,7]=>1000101=>7
[6,2,1,4,8,3,5,7]=>1000101=>7
[4,2,1,6,8,3,5,7]=>1010001=>7
[4,2,1,6,3,8,5,7]=>1010101=>7
[4,2,1,3,6,8,5,7]=>1010001=>7
[2,1,4,3,8,6,5,7]=>1010101=>7
[2,4,1,3,8,6,5,7]=>0010101=>7
[4,2,1,3,8,6,5,7]=>1010101=>7
[4,2,1,8,3,6,5,7]=>1010101=>7
[4,2,1,8,6,3,5,7]=>1010101=>7
[6,2,1,8,4,3,5,7]=>1010101=>7
[8,2,1,6,4,3,5,7]=>1010101=>7
[8,2,6,1,4,3,5,7]=>0010101=>7
[6,2,8,1,4,3,5,7]=>0010101=>7
[4,2,8,1,6,3,5,7]=>0010101=>7
[4,2,8,1,3,6,5,7]=>0010101=>7
[2,4,8,1,3,6,5,7]=>0000101=>7
[2,4,1,8,3,6,5,7]=>0010101=>7
[2,1,4,8,3,6,5,7]=>1000101=>7
[2,1,4,8,6,3,5,7]=>1000101=>7
[2,4,8,1,6,3,5,7]=>0000101=>7
[2,4,8,6,1,3,5,7]=>0000101=>7
[4,2,8,6,1,3,5,7]=>0010101=>7
[6,2,8,4,1,3,5,7]=>0010101=>7
[8,2,6,4,1,3,5,7]=>0010101=>7
[8,4,6,2,1,3,5,7]=>1000101=>7
[6,4,8,2,1,3,5,7]=>1000101=>7
[4,6,8,2,1,3,5,7]=>1000001=>7
[2,6,8,4,1,3,5,7]=>0010001=>7
[2,6,8,1,4,3,5,7]=>0010001=>7
[2,6,1,8,4,3,5,7]=>0010101=>7
[2,1,6,8,4,3,5,7]=>1010001=>7
[2,1,8,6,4,3,5,7]=>1010101=>7
[2,8,1,6,4,3,5,7]=>0010101=>7
[2,8,6,4,1,3,5,7]=>0010101=>7
[4,8,6,2,1,3,5,7]=>1000101=>7
[6,8,4,2,1,3,5,7]=>1010001=>7
[3,2,6,1,5,4,8,7]=>0101101=>7
[5,2,4,3,8,1,7,6]=>0011011=>7
[6,2,4,1,5,3,8,7]=>0011101=>7
[4,3,6,1,5,2,8,7]=>0011101=>7
[4,3,5,2,8,1,7,6]=>0011011=>7
[4,3,7,2,6,5,8,1]=>0010111=>7
[4,3,8,2,6,1,7,5]=>0010111=>7
[4,3,8,1,7,2,6,5]=>0010111=>7
[4,3,8,1,5,2,7,6]=>0011011=>7
[5,1,8,3,4,2,7,6]=>0011011=>7
[5,4,8,1,3,2,7,6]=>0101011=>7
[2,1,5,4,8,3,7,6]=>1001011=>7
[5,1,7,6,8,3,4,2]=>0011011=>7
[4,3,7,6,8,1,5,2]=>0011011=>7
[4,3,7,1,8,5,6,2]=>0010111=>7
[4,3,6,5,8,1,7,2]=>0010111=>7
[6,3,5,4,7,2,8,1]=>0001111=>7
[6,3,5,4,8,1,7,2]=>0001111=>7
[7,1,6,3,8,4,5,2]=>0001111=>7
[7,4,6,5,8,1,3,2]=>0100111=>7
[2,1,8,4,6,3,7,5]=>1000111=>7
[8,4,6,1,3,2,7,5]=>0100111=>7
[8,1,6,3,4,2,7,5]=>0010111=>7
[8,1,6,3,7,2,5,4]=>0001111=>7
[8,3,5,1,7,2,6,4]=>0001111=>7
[8,3,5,2,6,1,7,4]=>0001111=>7
[7,3,5,2,6,4,8,1]=>0001111=>7
[8,2,6,3,5,1,7,4]=>0001111=>7
[8,2,7,1,5,3,6,4]=>0001111=>7
[8,2,4,1,5,3,7,6]=>0011011=>7
[8,2,4,1,7,3,6,5]=>0010111=>7
[8,2,4,3,6,1,7,5]=>0010111=>7
[3,2,8,4,6,1,7,5]=>0100111=>7
[3,2,8,1,5,4,7,6]=>0101011=>7
[3,2,7,6,8,1,5,4]=>0101011=>7
[3,2,7,1,8,5,6,4]=>0100111=>7
[3,2,6,5,8,1,7,4]=>0100111=>7
[6,5,7,2,4,3,8,1]=>0010111=>7
[6,5,8,2,4,1,7,3]=>0010111=>7
[7,2,4,1,8,5,6,3]=>0010111=>7
[7,6,8,2,4,1,5,3]=>0011011=>7
[7,6,8,1,5,2,4,3]=>0011011=>7
[2,1,7,3,8,5,6,4]=>1000111=>7
[7,1,3,2,8,5,6,4]=>0100111=>7
[7,1,8,5,6,2,4,3]=>0010111=>7
[7,1,8,2,6,4,5,3]=>0001111=>7
[7,2,8,1,5,4,6,3]=>0001111=>7
[6,2,7,4,5,3,8,1]=>0001111=>7
[5,4,7,2,6,3,8,1]=>0001111=>7
[5,4,8,2,6,1,7,3]=>0001111=>7
[6,5,8,1,7,2,4,3]=>0010111=>7
[2,1,6,5,8,3,7,4]=>1000111=>7
[6,5,7,4,8,1,3,2]=>0100111=>7
[6,5,7,1,8,3,4,2]=>0010111=>7
[6,1,7,4,8,3,5,2]=>0001111=>7
[5,4,7,1,8,3,6,2]=>0001111=>7
[5,4,6,3,8,1,7,2]=>0001111=>7
[2,8,3,1,5,4,6,7]=>0101001=>7
[2,5,3,4,7,1,8,6]=>0001011=>7
[2,4,8,3,5,7,6,1]=>0000111=>7
[4,2,5,3,1,8,6,7]=>0111001=>7
[4,2,1,8,5,3,6,7]=>1011001=>7
[5,4,1,3,8,2,6,7]=>0011001=>7
[5,1,4,8,3,2,6,7]=>0101001=>7
[1,5,8,4,3,2,6,7]=>0110001=>7
[1,8,5,4,3,2,6,7]=>0111001=>7
[1,7,4,3,8,5,2,6]=>0011011=>7
[1,5,7,3,8,4,2,6]=>0010011=>7
[5,1,4,7,8,3,2,6]=>0101001=>7
[4,8,1,5,7,3,6,2]=>0000111=>7
[8,1,5,3,7,4,6,2]=>0001111=>7
[3,8,4,7,6,5,2,1]=>1001111=>7
[1,6,8,5,3,7,4,2]=>0011011=>7
[6,8,1,7,4,3,5,2]=>0011011=>7
[6,4,8,1,7,3,5,2]=>0001111=>7
[6,4,8,7,1,5,2,3]=>0001111=>7
[7,6,4,1,3,8,2,5]=>0010111=>7
[1,7,5,6,3,2,8,4]=>0100111=>7
[4,2,1,7,8,5,3,6]=>1011001=>7
[2,7,4,6,3,1,8,5]=>0100111=>7
[2,6,8,4,3,7,5,1]=>0011011=>7
[6,2,4,8,3,7,5,1]=>0001111=>7
[7,2,6,3,4,1,8,5]=>0010111=>7
[2,6,7,3,1,4,8,5]=>0100011=>7
[2,7,1,8,3,5,4,6]=>0001011=>7
[2,1,7,3,5,8,4,6]=>1000011=>7
[8,7,1,3,6,2,4,5]=>0000111=>7
[8,2,1,7,3,5,6,4]=>1000111=>7
[7,8,2,6,3,1,5,4]=>0101101=>7
[8,7,2,6,3,5,4,1]=>0011111=>7
[1,2,8,7,4,5,6,3]=>0000111=>7
[8,3,7,1,5,6,2,4]=>0000111=>7
[8,6,1,2,7,5,3,4]=>0001111=>7
[8,1,6,2,7,4,5,3]=>0001111=>7
[1,8,5,2,6,7,4,3]=>0011011=>7
[5,2,1,8,6,7,4,3]=>1011011=>7
[2,8,5,7,6,4,3,1]=>0110111=>7
[1,7,8,5,2,6,4,3]=>0011101=>7
[7,8,1,6,4,2,5,3]=>0011101=>7
[7,8,6,1,5,3,2,4]=>0101101=>7
[7,3,8,6,1,5,2,4]=>0001111=>7
[8,7,6,1,5,3,4,2]=>0011111=>7
[8,7,1,6,4,5,3,2]=>0101111=>7
[8,1,7,5,6,4,3,2]=>0110111=>7
[1,8,6,7,5,4,3,2]=>0111011=>7
[6,3,5,2,1,4,8,7]=>1001101=>7
[6,3,5,7,2,8,4,1]=>0010111=>7
[8,5,2,7,4,3,1,6]=>0111011=>7
[4,5,3,6,1,2,8,7]=>0001101=>7
[3,5,1,4,6,2,8,7]=>0001101=>7
[8,3,4,5,7,2,1,6]=>1000011=>7
[5,7,4,6,3,8,2,1]=>1000111=>7
[2,8,4,6,3,7,1,5]=>0000111=>7
[8,1,4,7,3,6,2,5]=>0000111=>7
[8,3,4,7,5,1,2,6]=>0001011=>7
[8,5,1,4,7,3,2,6]=>0101011=>7
[8,5,3,7,1,4,2,6]=>0011011=>7
[2,1,8,5,7,4,3,6]=>1010011=>7
[6,5,3,7,1,8,4,2]=>0011111=>7
[6,5,1,4,7,8,3,2]=>0101101=>7
[6,3,4,7,5,8,1,2]=>0000111=>7
[5,1,4,6,8,3,7,2]=>0001011=>7
[4,7,1,3,5,8,6,2]=>0000111=>7
[4,8,3,7,1,2,6,5]=>0000111=>7
[3,8,6,4,1,7,2,5]=>0010111=>7
[3,8,1,2,5,7,6,4]=>0000111=>7
[2,8,7,5,4,1,3,6]=>0011011=>7
[8,7,2,6,4,1,3,5]=>0010111=>7
[3,8,6,7,4,2,1,5]=>1010011=>7
[5,7,6,8,4,2,3,1]=>0110011=>7
[5,3,7,8,2,4,6,1]=>0001101=>7
[8,3,6,2,1,4,7,5]=>1000111=>7
[5,3,7,6,2,1,8,4]=>1001111=>7
[5,3,6,2,8,7,1,4]=>0001111=>7
[5,7,8,6,4,2,1,3]=>1010101=>7
[2,6,7,5,4,8,1,3]=>0001011=>7
[6,1,7,4,5,8,2,3]=>0000111=>7
[6,7,3,5,1,8,2,4]=>0001011=>7
[2,1,6,7,5,8,3,4]=>1000011=>7
[2,1,5,7,3,6,8,4]=>1000011=>7
[5,7,3,6,1,2,8,4]=>0000111=>7
[4,1,7,2,5,6,8,3]=>0010011=>7
[2,4,7,1,6,5,8,3]=>0000111=>7
[4,6,2,1,8,7,5,3]=>1001111=>7
[3,4,6,2,7,8,5,1]=>0001101=>7
[4,6,1,2,5,8,7,3]=>0000111=>7
[5,6,1,4,8,2,7,3]=>0000111=>7
[5,6,3,1,8,7,2,4]=>0100111=>7
[3,5,6,4,7,1,8,2]=>0000111=>7
[3,4,6,1,5,7,8,2]=>0000101=>7
[3,4,1,5,7,6,8,2]=>0010011=>7
[3,8,2,7,1,6,5,4]=>0001111=>7
[3,8,2,7,6,1,5,4]=>0001111=>7
[3,8,2,7,6,5,1,4]=>0001111=>7
[3,8,2,7,6,5,4,1]=>0011111=>7
[4,8,7,2,6,5,3,1]=>0101111=>7
[4,8,7,2,6,5,1,3]=>0001111=>7
[4,8,7,2,6,1,5,3]=>0001111=>7
[4,8,7,2,1,6,5,3]=>1001111=>7
[4,8,7,3,1,6,5,2]=>0101111=>7
[4,8,7,3,2,1,6,5]=>1100111=>7
[4,8,7,3,2,6,1,5]=>0100111=>7
[4,8,7,3,2,6,5,1]=>0101111=>7
[4,8,7,3,6,2,5,1]=>0001111=>7
[4,8,7,3,6,2,1,5]=>1000111=>7
[4,8,7,3,6,1,5,2]=>0001111=>7
[4,8,7,3,6,5,1,2]=>0001111=>7
[4,8,7,3,6,5,2,1]=>1001111=>7
[5,8,7,6,3,4,2,1]=>1010111=>7
[5,8,7,6,3,1,4,2]=>0110111=>7
[5,8,7,6,3,2,4,1]=>0110111=>7
[5,8,7,6,2,4,3,1]=>0110111=>7
[5,8,7,6,2,1,4,3]=>1010111=>7
[5,8,7,6,4,2,3,1]=>0110111=>7
[5,8,7,6,4,2,1,3]=>1010111=>7
[5,8,7,6,4,1,3,2]=>0110111=>7
[5,8,7,6,4,3,1,2]=>0110111=>7
[7,3,4,2,1,6,5,8]=>1010110=>7
[7,3,5,2,6,1,4,8]=>0001110=>7
[7,3,5,2,6,4,1,8]=>0011110=>7
[6,3,5,2,7,4,8,1]=>0001111=>7
[7,2,1,5,6,4,3,8]=>1010110=>7
[7,3,5,1,6,4,2,8]=>0011110=>7
[7,4,5,6,1,3,2,8]=>0100110=>7
[1,4,5,7,3,2,8,6]=>0100011=>7
[1,4,6,7,3,8,2,5]=>0000011=>7
[6,4,5,7,3,1,8,2]=>0100111=>7
[6,4,5,7,1,3,8,2]=>0000111=>7
[6,3,5,1,7,4,8,2]=>0001111=>7
[6,2,1,5,7,4,8,3]=>1000111=>7
[3,2,1,5,7,4,8,6]=>1100011=>7
[2,4,6,7,3,8,1,5]=>0000011=>7
[1,4,6,7,3,8,5,2]=>0001011=>7
[1,5,6,7,8,3,4,2]=>0010001=>7
[2,5,6,7,8,3,1,4]=>0100001=>7
[3,2,1,6,7,8,4,5]=>1100001=>7
[5,2,1,6,7,8,4,3]=>1011001=>7
[5,3,6,1,7,8,4,2]=>0011101=>7
[5,4,6,7,1,8,3,2]=>0101011=>7
[1,5,6,7,8,3,2,4]=>0100001=>7
[6,4,5,7,2,1,8,3]=>1000111=>7
[5,4,6,7,2,8,3,1]=>0101011=>7
[5,3,6,2,7,8,4,1]=>0011101=>7
[5,3,6,2,7,8,1,4]=>0001101=>7
[6,3,5,2,7,1,8,4]=>0001111=>7
[6,3,4,2,1,7,8,5]=>1010101=>7
[5,3,4,1,2,7,8,6]=>0011001=>7
[4,3,6,2,7,8,1,5]=>0010101=>7
[4,3,6,2,7,8,5,1]=>0011101=>7
[1,3,6,2,7,8,5,4]=>0001101=>7
[1,4,6,7,2,8,5,3]=>0001011=>7
[3,4,6,7,2,8,5,1]=>0001011=>7
[3,4,5,7,2,1,8,6]=>1000011=>7
[4,2,1,5,7,3,8,6]=>1010011=>7
[4,2,1,6,7,8,3,5]=>1010001=>7
[4,3,6,1,7,8,2,5]=>0010101=>7
[1,5,6,7,8,2,4,3]=>0010001=>7
[1,5,6,7,8,4,2,3]=>0010001=>7
[3,4,6,7,1,8,5,2]=>0001011=>7
[4,3,6,1,7,8,5,2]=>0011101=>7
[4,2,1,6,7,8,5,3]=>1011001=>7
[2,3,6,1,7,8,5,4]=>0001101=>7
[2,4,6,7,1,8,5,3]=>0001011=>7
[2,5,6,7,8,1,4,3]=>0010001=>7
[2,1,4,3,6,5,8,7,9]=>10101010=>2
[2,4,1,3,6,5,8,7,9]=>00101010=>8
[2,4,1,6,3,5,8,7,9]=>00101010=>8
[2,4,1,6,3,8,5,7,9]=>00101010=>8
[2,4,1,6,3,7,5,9,8]=>00101101=>8
[2,4,1,5,3,7,6,9,8]=>00110101=>8
[2,3,1,5,4,7,6,9,8]=>01010101=>2
[1,3,2,5,4,7,6,9,8]=>01010101=>2
[2,4,1,3,6,5,8,7,10,9]=>001010101=>9
[2,4,6,1,3,5,8,7,9]=>00001010=>8
[2,4,1,6,3,5,8,7,10,9]=>001010101=>9
[2,4,1,6,8,3,5,7,9]=>00100010=>4
[2,4,1,6,3,8,5,7,10,9]=>001010101=>9
[2,4,1,6,3,8,9,5,7]=>00101001=>8
[2,4,1,6,3,8,5,10,7,9]=>001010101=>9
[2,4,1,6,3,7,5,8,9]=>00101100=>8
[2,4,1,6,3,8,5,9,7,10]=>001010110=>9
[2,4,1,5,3,8,6,9,7]=>00110011=>4
[2,4,1,6,3,7,5,9,8,10]=>001011010=>9
[2,3,1,6,4,7,5,9,8]=>01001101=>8
[2,4,1,5,3,7,6,9,8,10]=>001101010=>9
[1,4,2,5,3,7,6,9,8]=>00110101=>8
[2,3,1,5,4,7,6,9,8,10]=>010101010=>9
[1,3,2,5,4,7,6,9,8,10]=>010101010=>9
[7,1,2,3,4,5,6,8,9]=>00000100=>8
[1,4,3,6,2,5,7,8]=>0010100=>7
[1,4,3,7,2,5,6,8]=>0010010=>7
[1,4,3,7,6,8,2,5]=>0010011=>7
[1,4,3,7,5,8,2,6]=>0010011=>7
[1,4,3,7,2,6,5,8]=>0010110=>7
[1,5,3,7,4,8,2,6]=>0001011=>7
[1,3,2,6,5,8,4,7]=>0100101=>7
[1,5,4,8,2,6,3,7]=>0001101=>7
[1,5,4,8,3,7,2,6]=>0001011=>7
[1,2,3,6,5,8,4,7]=>0000101=>7
[6,8,2,4,5,7,1,3]=>0000011=>7
[3,7,8,4,5,2,6,1]=>0001101=>7
[7,8,1,4,5,3,6,2]=>0001101=>7
[3,8,7,4,1,6,5,2]=>0011111=>7
[4,8,3,6,1,5,7,2]=>0000111=>7
[5,8,3,1,6,4,7,2]=>0100111=>7
[5,8,1,4,7,6,3,2]=>0100111=>7
[7,5,1,8,6,2,4,3]=>0011111=>7
[7,4,1,8,2,6,3,5]=>0010111=>7
[7,1,8,4,2,6,3,5]=>0010111=>7
[1,6,3,8,5,2,4,7]=>0001101=>7
[6,1,3,8,5,2,4,7]=>0001101=>7
[7,1,8,3,6,2,5,4]=>0001111=>7
[7,3,1,8,4,2,6,5]=>0110111=>7
[7,2,8,4,1,6,5,3]=>0011111=>7
[7,2,8,3,6,5,1,4]=>0001111=>7
[7,2,8,3,6,1,5,4]=>0001111=>7
[7,1,8,2,3,6,5,4]=>0001111=>7
[6,1,2,8,3,5,4,7]=>0001101=>7
[1,5,2,3,8,4,7,6]=>0001011=>7
[5,1,2,3,8,4,7,6]=>0001011=>7
[5,2,3,8,1,4,7,6]=>0001011=>7
[6,2,8,1,3,5,4,7]=>0001101=>7
[6,2,4,1,8,7,3,5]=>0010111=>7
[6,3,1,4,2,8,5,7]=>0110101=>7
[3,1,6,4,2,8,5,7]=>0110101=>7
[2,6,3,8,7,1,5,4]=>0001111=>7
[2,6,3,8,5,1,4,7]=>0001101=>7
[2,5,1,8,3,4,7,6]=>0001011=>7
[2,5,1,3,8,4,7,6]=>0001011=>7
[1,2,5,3,8,4,7,6]=>0001011=>7
[1,2,4,8,3,7,6,5]=>0000111=>7
[2,4,8,1,3,7,6,5]=>0000111=>7
[2,4,8,3,7,1,6,5]=>0000111=>7
[2,4,8,3,7,6,1,5]=>0000111=>7
[2,5,3,8,1,7,4,6]=>0001011=>7
[2,5,4,1,3,8,7,6]=>0011011=>7
[3,1,5,4,8,2,7,6]=>0101011=>7
[5,3,1,4,8,2,7,6]=>0101011=>7
[5,2,3,8,4,7,1,6]=>0001011=>7
[4,8,2,3,7,6,1,5]=>0000111=>7
[4,8,2,3,7,1,6,5]=>0000111=>7
[4,8,1,2,3,7,6,5]=>0000111=>7
[1,4,8,2,3,7,6,5]=>0000111=>7
[1,4,8,3,7,2,6,5]=>0000111=>7
[6,3,8,1,5,2,4,7]=>0001101=>7
[5,3,8,1,2,4,7,6]=>0001011=>7
[5,1,3,8,2,4,7,6]=>0001011=>7
[1,5,3,8,2,4,7,6]=>0001011=>7
[1,5,4,8,2,7,6,3]=>0001111=>7
[5,1,4,8,2,7,6,3]=>0001111=>7
[5,4,8,1,2,7,6,3]=>0001111=>7
[6,5,1,2,8,7,4,3]=>0011111=>7
[5,3,1,6,4,2,8,7]=>0111101=>7
[5,1,6,2,8,7,4,3]=>0011111=>7
[4,1,5,8,2,7,6,3]=>0010111=>7
[4,1,2,5,8,7,6,3]=>0010111=>7
[1,4,2,5,8,7,6,3]=>0010111=>7
[1,3,5,2,8,7,4,6]=>0001011=>7
[3,5,1,2,8,7,4,6]=>0001011=>7
[3,6,2,8,7,5,1,4]=>0001111=>7
[4,2,6,1,8,7,3,5]=>0010111=>7
[4,3,1,5,8,2,7,6]=>0110011=>7
[3,5,2,8,7,1,4,6]=>0001011=>7
[3,4,8,7,2,6,1,5]=>0000111=>7
[3,4,8,7,1,2,6,5]=>0000111=>7
[3,4,8,1,7,2,6,5]=>0000111=>7
[1,3,4,8,7,2,6,5]=>0000111=>7
[1,3,4,8,2,7,6,5]=>0000111=>7
[3,4,8,1,2,7,6,5]=>0000111=>7
[3,4,8,2,7,1,6,5]=>0000111=>7
[3,4,8,2,7,6,1,5]=>0000111=>7
[4,2,5,8,1,7,6,3]=>0010111=>7
[4,3,1,2,5,8,7,6]=>0110011=>7
[3,1,4,2,5,8,7,6]=>0110011=>7
[2,3,5,1,8,7,6,4]=>0001111=>7
[7,8,2,1,5,3,6,4]=>1001101=>7
[6,4,1,2,7,3,5,8]=>0010110=>7
[2,3,7,5,4,1,8,6]=>0011011=>7
[6,3,1,5,4,2,7,8]=>0111100=>7
[7,8,1,5,4,2,6,3]=>0011101=>7
[7,8,3,5,4,1,6,2]=>0011101=>7
[7,8,2,5,4,1,3,6]=>0011001=>7
[7,8,2,5,4,6,1,3]=>0001101=>7
[6,2,1,5,4,7,3,8]=>1001110=>7
[5,3,6,1,4,7,8,2]=>0001101=>7
[5,3,6,2,4,7,1,8]=>0001110=>7
[6,4,2,1,7,3,8,5]=>1010111=>7
[4,3,7,5,8,6,1,2]=>0010111=>7
[4,2,7,1,8,3,6,5]=>0010111=>7
[3,2,6,7,4,8,1,5]=>0100011=>7
[3,1,6,7,4,8,5,2]=>0101011=>7
[1,7,6,5,3,8,4,2]=>0011111=>7
[2,7,6,5,3,8,1,4]=>0001111=>7
[1,7,6,5,2,4,8,3]=>0001111=>7
[2,7,6,5,3,1,4,8]=>0101110=>7
[2,7,1,4,8,3,5,6]=>0000011=>7
[3,7,6,4,8,5,1,2]=>0001111=>7
[5,7,6,3,8,4,1,2]=>0010111=>7
[5,1,6,2,4,8,3,7]=>0001101=>7
[4,7,6,5,2,1,3,8]=>1001110=>7
[4,7,6,5,2,8,1,3]=>0001111=>7
[4,7,6,5,1,8,3,2]=>0101111=>7
[1,7,6,5,2,8,3,4]=>0001111=>7
[1,7,6,5,3,2,8,4]=>0101111=>7
[4,7,6,5,1,2,8,3]=>0001111=>7
[4,7,6,5,3,1,8,2]=>0101111=>7
[6,1,3,5,4,8,7,2]=>0001111=>7
[5,2,6,3,4,1,7,8]=>0011100=>7
[5,1,6,2,4,7,8,3]=>0001101=>7
[1,2,6,3,4,8,7,5]=>0000111=>7
[1,7,2,4,8,3,6,5]=>0000111=>7
[6,1,4,2,8,3,5,7]=>0010101=>7
[4,1,8,2,6,3,5,7]=>0010101=>7
[4,7,2,1,5,3,6,8]=>1001010=>7
[4,7,1,6,2,3,8,5]=>0000111=>7
[1,7,2,6,8,3,5,4]=>0001011=>7
[1,2,6,7,4,8,5,3]=>0001011=>7
[3,1,6,7,4,2,8,5]=>0110011=>7
[3,2,8,5,4,6,1,7]=>0101101=>7
[4,7,6,3,5,8,1,2]=>0000111=>7
[4,7,1,2,5,3,8,6]=>0001011=>7
[3,7,6,5,2,4,1,8]=>0011110=>7
[3,7,6,5,1,4,8,2]=>0001111=>7
[3,7,6,5,2,1,8,4]=>1001111=>7
[1,7,6,5,8,2,4,3]=>0010111=>7
[3,7,6,5,8,1,4,2]=>0010111=>7
[3,7,6,5,1,2,4,8]=>0001110=>7
[3,1,6,8,4,2,5,7]=>0110001=>7
[4,7,6,8,3,5,1,2]=>0001011=>7
[2,7,6,5,1,4,3,8]=>0011110=>7
[2,7,6,5,8,1,3,4]=>0000111=>7
[2,7,6,5,8,4,1,3]=>0010111=>7
[6,3,2,1,7,4,8,5]=>1100111=>7
[4,2,1,7,3,5,8,6]=>1010011=>7
[7,3,1,5,4,2,8,6]=>0111011=>7
[8,4,1,5,2,7,6,3]=>0011111=>7
[8,2,5,1,3,7,6,4]=>0001111=>7
[4,3,7,2,1,5,8,6]=>1010011=>7
[6,3,7,4,2,1,8,5]=>1010111=>7
[4,7,2,5,3,1,8,6]=>0101011=>7
[2,7,5,4,1,3,8,6]=>0011011=>7
[7,5,4,3,2,1,8,6]=>1111011=>7
[8,5,3,2,1,7,6,4]=>1101111=>7
[6,5,2,1,8,4,3,7]=>1011101=>7
[4,6,3,2,8,1,5,7]=>0100101=>7
[5,7,4,3,2,8,1,6]=>0110011=>7
[1,7,6,2,4,8,3,5]=>0000111=>7
[2,7,3,6,4,8,1,5]=>0000111=>7
[6,2,7,5,3,8,1,4]=>0001111=>7
[7,1,8,5,3,6,4,2]=>0011111=>7
[5,8,1,6,2,7,4,3]=>0010111=>7
[1,8,6,2,3,7,5,4]=>0001111=>7
[1,8,6,3,2,7,5,4]=>0101111=>7
[5,8,3,2,7,1,6,4]=>0100111=>7
[8,7,3,1,6,5,4,2]=>0111111=>7
[8,7,2,6,1,5,4,3]=>0011111=>7
[1,8,5,7,4,3,6,2]=>0010111=>7
[1,8,5,7,2,4,6,3]=>0000111=>7
[3,8,6,1,7,2,5,4]=>0001111=>7
[5,8,4,6,7,1,3,2]=>0100011=>7
[7,2,8,5,6,1,4,3]=>0010111=>7
[6,3,7,5,8,2,1,4]=>1000111=>7
[3,7,2,6,8,4,1,5]=>0010011=>7
[3,6,5,8,1,4,2,7]=>0010101=>7
[2,6,5,8,4,1,3,7]=>0010101=>7
[6,5,4,8,3,2,1,7]=>1101101=>7
[8,4,3,7,2,1,6,5]=>1010111=>7
[8,2,4,7,1,3,6,5]=>0000111=>7
[6,2,5,8,1,4,3,7]=>0010101=>7
[4,3,6,8,2,1,5,7]=>1010001=>7
[6,3,5,1,8,4,2,7]=>0011101=>7
[8,4,1,5,7,3,6,2]=>0010111=>7
[6,4,2,5,8,3,1,7]=>0110101=>7
[5,4,1,6,8,2,3,7]=>0011001=>7
[6,5,2,1,7,8,3,4]=>1001101=>7
[6,3,7,4,8,5,2,1]=>1001111=>7
[4,7,2,5,8,6,3,1]=>0100111=>7
[6,3,1,8,4,7,5,2]=>0101111=>7
[6,4,2,8,7,3,5,1]=>0011111=>7
[6,5,3,8,7,4,1,2]=>0011111=>7
[8,5,3,7,6,4,2,1]=>1011111=>7
[5,4,8,1,7,6,2,3]=>0001111=>7
[5,2,8,1,7,3,6,4]=>0001111=>7
[6,4,8,2,1,7,5,3]=>1001111=>7
[3,6,8,1,4,7,5,2]=>0001011=>7
[5,7,3,8,1,6,4,2]=>0010111=>7
[6,4,7,8,1,5,3,2]=>0101101=>7
[6,3,7,8,5,2,4,1]=>0011101=>7
[2,5,8,7,1,3,6,4]=>0000111=>7
[5,3,8,7,2,1,6,4]=>1001111=>7
[8,3,7,6,1,5,4,2]=>0011111=>7
[8,2,7,6,5,1,4,3]=>0011111=>7
[4,3,8,7,6,2,1,5]=>1010111=>7
[2,4,8,7,6,1,3,5]=>0000111=>7
[3,5,8,7,2,6,1,4]=>0000111=>7
[4,7,3,8,6,5,1,2]=>0001111=>7
[7,5,8,6,4,3,2,1]=>1110111=>7
[5,8,7,3,6,4,2,1]=>1010111=>7
[4,8,7,6,2,5,3,1]=>0101111=>7
[3,8,7,6,5,1,4,2]=>0011111=>7
[2,8,7,6,5,4,1,3]=>0011111=>7
[3,4,1,2,5,6,7,8,9]=>00100000=>8
[3,2,1,4,5,6,7,8,9]=>11000000=>8
[4,5,6,1,2,3,7,8,9]=>00001000=>8
[4,2,5,1,3,6,7,8,9]=>00110000=>8
[4,3,2,1,5,6,7,8,9]=>11100000=>8
[5,6,7,8,1,2,3,4,9]=>00000010=>8
[5,2,6,7,1,3,4,8,9]=>00010100=>8
[5,6,3,4,1,2,7,8,9]=>00101000=>8
[5,3,2,6,1,4,7,8,9]=>01011000=>8
[5,4,3,2,1,6,7,8,9]=>11110000=>8
[6,2,7,8,9,1,3,4,5]=>00001001=>8
[6,7,3,4,8,1,2,5,9]=>00000110=>8
[6,3,2,7,8,1,4,5,9]=>01001010=>8
[6,4,7,2,5,1,3,8,9]=>00011100=>8
[6,4,3,2,7,1,5,8,9]=>01101100=>8
[6,5,4,3,2,1,7,8,9]=>11111000=>8
[7,4,8,2,5,9,1,3,6]=>00000111=>8
[7,4,3,2,8,9,1,5,6]=>01100101=>8
[7,8,5,6,3,4,1,2,9]=>00101010=>8
[7,5,3,8,2,6,1,4,9]=>00011110=>8
[7,5,4,3,2,8,1,6,9]=>01110110=>8
[7,6,5,4,3,2,1,8,9]=>11111100=>8
[8,6,9,4,7,2,5,1,3]=>00010111=>8
[8,6,4,3,9,2,7,1,5]=>00101111=>8
[8,6,5,4,3,2,9,1,7]=>01111011=>8
[3,4,1,2,5,6,7,8,9,10]=>001000000=>9
[3,2,1,4,5,6,7,8,9,10]=>110000000=>9
[4,5,6,1,2,3,7,8,9,10]=>000010000=>9
[4,2,5,1,3,6,7,8,9,10]=>001100000=>9
[4,3,2,1,5,6,7,8,9,10]=>111000000=>9
[5,6,7,8,1,2,3,4,9,10]=>000000100=>9
[5,2,6,7,1,3,4,8,9,10]=>000101000=>9
[5,6,3,4,1,2,7,8,9,10]=>001010000=>9
[5,3,2,6,1,4,7,8,9,10]=>010110000=>9
[5,4,3,2,1,6,7,8,9,10]=>111100000=>9
[6,2,7,8,9,1,3,4,5,10]=>000010010=>9
[6,7,3,4,8,1,2,5,9,10]=>000001100=>9
[6,3,2,7,8,1,4,5,9,10]=>010010100=>9
[6,4,7,2,5,1,3,8,9,10]=>000111000=>9
[6,4,3,2,7,1,5,8,9,10]=>011011000=>9
[6,5,4,3,2,1,7,8,9,10]=>111110000=>9
[7,8,3,4,9,10,1,2,5,6]=>000000101=>9
[7,8,9,4,5,6,1,2,3,10]=>000010010=>9
[7,4,3,2,8,9,1,5,6,10]=>011001010=>9
[7,8,5,6,3,4,1,2,9,10]=>001010100=>9
[7,5,3,8,2,6,1,4,9,10]=>000111100=>9
[7,5,4,3,2,8,1,6,9,10]=>011101100=>9
[7,6,5,4,3,2,1,8,9,10]=>111111000=>9
[8,5,9,10,2,6,7,1,3,4]=>000001101=>9
[8,5,3,9,2,6,10,1,4,7]=>000100111=>9
[8,6,9,4,7,2,5,1,3,10]=>000101110=>9
[8,6,4,3,9,2,7,1,5,10]=>001011110=>9
[8,6,5,4,3,2,9,1,7,10]=>011110110=>9
[8,7,6,5,4,3,2,1,9,10]=>111111100=>9
[9,7,5,4,3,10,2,8,1,6]=>001101111=>9
[3,6,5,1,2,4,8,7]=>0001101=>7
[3,7,5,8,2,4,1,6]=>0010011=>7
[3,8,5,7,2,4,1,6]=>0010011=>7
[5,1,7,8,4,3,2,6]=>0111001=>7
[5,1,2,6,4,3,8,7]=>0011101=>7
[6,1,2,5,4,3,8,7]=>0011101=>7
[5,1,2,4,6,3,8,7]=>0001101=>7
[4,1,2,6,5,3,8,7]=>0011101=>7
[4,1,5,7,8,3,2,6]=>0110001=>7
[4,1,5,8,7,3,2,6]=>0110011=>7
[4,7,1,8,3,6,2,5]=>0000111=>7
[4,1,7,8,5,2,3,6]=>0011001=>7
[5,1,7,4,8,2,3,6]=>0001011=>7
[7,5,3,8,1,4,2,6]=>0011011=>7
[2,1,5,8,7,3,4,6]=>1000011=>7
[5,1,8,4,7,2,3,6]=>0001011=>7
[4,1,8,7,5,2,3,6]=>0011011=>7
[4,7,1,6,3,2,8,5]=>0100111=>7
[6,1,2,3,7,5,8,4]=>0000111=>7
[7,1,2,3,8,6,5,4]=>0001111=>7
[7,1,2,3,5,8,6,4]=>0000111=>7
[6,8,1,4,3,7,2,5]=>0010011=>7
[8,7,3,2,4,1,6,5]=>0110111=>7
[2,1,7,3,4,8,6,5]=>1000111=>7
[7,8,3,2,4,1,6,5]=>0110101=>7
[6,7,1,4,3,8,2,5]=>0010011=>7
[8,1,2,3,5,7,6,4]=>0000111=>7
[8,1,2,3,6,7,5,4]=>0001011=>7
[7,1,2,3,6,8,5,4]=>0001011=>7
[7,1,2,3,8,5,6,4]=>0000111=>7
[8,1,2,3,7,5,6,4]=>0000111=>7
[8,1,2,3,6,5,7,4]=>0000111=>7
[7,1,8,5,4,3,2,6]=>0111011=>7
[7,8,2,6,3,4,1,5]=>0010101=>7
[6,8,2,7,3,4,1,5]=>0010011=>7
[6,7,2,8,3,4,1,5]=>0010011=>7
[3,8,7,1,4,2,6,5]=>0010111=>7
[3,7,8,1,4,2,6,5]=>0010101=>7
[3,6,8,1,4,2,7,5]=>0010011=>7
[3,5,7,8,2,4,1,6]=>0010001=>7
[3,6,7,1,4,2,8,5]=>0010011=>7
[7,6,2,8,3,1,4,5]=>0100111=>7
[8,6,2,7,3,1,4,5]=>0100111=>7
[8,1,7,5,4,3,2,6]=>0111011=>7
[8,1,7,4,5,3,2,6]=>0101011=>7
[5,8,3,7,1,4,2,6]=>0010011=>7
[2,1,7,3,4,6,8,5]=>1000011=>7
[6,7,3,2,4,1,8,5]=>0110011=>7
[8,7,2,4,3,6,1,5]=>0010111=>7
[7,1,2,3,5,6,8,4]=>0000011=>7
[6,1,2,3,8,7,4,5]=>0000111=>7
[5,1,2,3,7,8,6,4]=>0001101=>7
[5,1,2,3,8,7,6,4]=>0001111=>7
[5,1,2,3,8,6,7,4]=>0001011=>7
[6,1,2,3,5,8,7,4]=>0000111=>7
[8,6,2,4,3,1,7,5]=>0110111=>7
[7,6,3,2,4,8,1,5]=>0100111=>7
[2,1,6,3,4,8,7,5]=>1000111=>7
[8,6,3,2,4,7,1,5]=>0100111=>7
[7,6,2,4,3,1,8,5]=>0110111=>7
[6,1,2,3,5,7,8,4]=>0000101=>7
[5,1,2,3,6,8,7,4]=>0001011=>7
[7,8,1,2,6,3,5,4]=>0001101=>7
[1,4,8,2,7,3,5,6]=>0000011=>7
[1,2,8,5,4,7,3,6]=>0001011=>7
[1,3,8,5,4,2,7,6]=>0011011=>7
[2,3,6,8,4,7,1,5]=>0000011=>7
[1,3,6,8,4,7,5,2]=>0001011=>7
[2,4,8,1,7,3,6,5]=>0000111=>7
[3,4,8,5,7,6,1,2]=>0000111=>7
[1,2,6,8,4,5,7,3]=>0000011=>7
[7,5,1,2,4,3,6,8]=>0011010=>7
[7,4,6,1,5,2,3,8]=>0001110=>7
[7,1,4,2,6,3,5,8]=>0010110=>7
[6,8,1,4,7,2,3,5]=>0000011=>7
[1,6,4,2,8,3,5,7]=>0010101=>7
[1,6,3,8,5,4,2,7]=>0011101=>7
[6,8,1,7,3,5,4,2]=>0011011=>7
[7,1,3,6,5,4,2,8]=>0011110=>7
[7,3,1,6,5,4,2,8]=>0111110=>7
[7,2,1,4,6,3,5,8]=>1000110=>7
[7,2,3,6,5,1,4,8]=>0001110=>7
[7,1,2,3,6,5,4,8]=>0001110=>7
[6,8,1,2,7,3,5,4]=>0001011=>7
[1,6,2,3,8,5,4,7]=>0001101=>7
[1,5,8,2,7,6,3,4]=>0000111=>7
[5,1,8,2,7,6,3,4]=>0001111=>7
[5,8,2,7,6,3,4,1]=>0010111=>7
[6,2,8,1,7,3,5,4]=>0001111=>7
[6,8,2,1,7,4,3,5]=>1010011=>7
[3,6,4,1,2,8,5,7]=>0010101=>7
[2,1,6,3,8,5,4,7]=>1001101=>7
[2,5,1,8,7,6,3,4]=>0001111=>7
[2,5,3,8,7,4,6,1]=>0001111=>7
[1,2,5,3,8,7,4,6]=>0001011=>7
[2,4,8,7,6,5,1,3]=>0001111=>7
[2,5,3,8,7,1,6,4]=>0001111=>7
[2,5,8,4,1,7,6,3]=>0010111=>7
[3,5,8,7,1,4,2,6]=>0010011=>7
[5,3,8,4,1,7,6,2]=>0011111=>7
[4,2,8,7,6,3,5,1]=>0011111=>7
[4,2,8,7,6,5,3,1]=>0111111=>7
[4,1,8,7,6,5,3,2]=>0111111=>7
[4,3,8,7,6,5,1,2]=>0011111=>7
[6,3,1,8,7,2,5,4]=>0101111=>7
[5,8,3,7,6,1,4,2]=>0010111=>7
[5,1,3,8,7,6,2,4]=>0001111=>7
[1,5,3,8,7,6,2,4]=>0001111=>7
[1,5,8,4,7,2,6,3]=>0000111=>7
[5,1,8,4,7,2,6,3]=>0001111=>7
[5,8,7,4,6,1,2,3]=>0000111=>7
[6,8,5,1,2,4,7,3]=>0001011=>7
[5,6,3,1,2,4,8,7]=>0100101=>7
[5,6,2,4,3,1,8,7]=>0110101=>7
[5,6,1,2,4,3,8,7]=>0010101=>7
[4,5,8,1,7,2,3,6]=>0000011=>7
[4,5,8,1,7,2,6,3]=>0000111=>7
[1,3,2,5,8,7,4,6]=>0100011=>7
[3,5,1,8,7,4,6,2]=>0001111=>7
[3,5,1,8,7,2,6,4]=>0001111=>7
[4,3,6,1,2,8,5,7]=>0010101=>7
[4,5,8,3,1,7,2,6]=>0100011=>7
[4,5,2,8,7,1,3,6]=>0001011=>7
[3,2,5,8,7,1,6,4]=>0100111=>7
[3,4,8,7,6,2,1,5]=>1000111=>7
[3,1,4,8,7,6,2,5]=>0100111=>7
[3,4,8,7,6,5,1,2]=>0001111=>7
[1,3,4,8,7,6,2,5]=>0000111=>7
[3,4,8,7,6,2,5,1]=>0001111=>7
[3,2,5,8,7,4,6,1]=>0100111=>7
[4,5,8,3,1,7,6,2]=>0100111=>7
[2,1,3,5,8,7,4,6]=>1000011=>7
[1,2,7,5,8,6,4,3]=>0010111=>7
[7,1,4,8,2,6,5,3]=>0001111=>7
[6,8,1,3,7,5,2,4]=>0001011=>7
[3,7,8,1,2,6,5,4]=>0001101=>7
[1,3,7,8,2,6,5,4]=>0001101=>7
[2,3,7,8,1,6,5,4]=>0001101=>7
[2,7,8,1,3,6,5,4]=>0001101=>7
[8,1,2,6,7,3,5,4]=>0001011=>7
[8,1,2,6,7,5,3,4]=>0001011=>7
[8,2,5,7,1,3,6,4]=>0000111=>7
[2,8,1,6,7,3,5,4]=>0001011=>7
[2,6,8,3,7,1,5,4]=>0001011=>7
[2,8,6,4,7,1,5,3]=>0001111=>7
[6,8,3,4,1,7,5,2]=>0011011=>7
[6,8,3,7,4,1,5,2]=>0011011=>7
[2,6,8,3,7,5,1,4]=>0001011=>7
[2,8,1,6,7,5,3,4]=>0001011=>7
[8,2,5,7,1,6,3,4]=>0000111=>7
[8,4,7,2,3,6,1,5]=>0000111=>7
[8,5,7,4,2,6,1,3]=>0010111=>7
[8,3,5,7,4,1,6,2]=>0010111=>7
[8,5,2,4,7,1,6,3]=>0001111=>7
[8,2,3,5,7,1,6,4]=>0000111=>7
[8,2,4,7,3,6,1,5]=>0000111=>7
[8,2,7,1,4,6,3,5]=>0000111=>7
[8,7,1,2,4,6,3,5]=>0000111=>7
[8,7,1,4,6,2,3,5]=>0000111=>7
[8,4,7,1,3,6,2,5]=>0000111=>7
[1,6,8,3,7,2,5,4]=>0001011=>7
[8,3,5,7,1,2,6,4]=>0000111=>7
[5,8,7,1,3,6,2,4]=>0000111=>7
[8,5,4,7,1,6,2,3]=>0001111=>7
[8,5,4,7,1,2,6,3]=>0001111=>7
[8,5,1,4,7,2,6,3]=>0001111=>7
[1,4,6,8,2,7,5,3]=>0001011=>7
[1,6,5,8,2,7,4,3]=>0010111=>7
[8,5,6,3,1,7,4,2]=>0110111=>7
[5,6,2,8,1,7,4,3]=>0010111=>7
[1,8,4,5,7,2,6,3]=>0000111=>7
[5,8,7,3,6,1,2,4]=>0000111=>7
[8,3,5,7,1,6,2,4]=>0000111=>7
[1,6,8,3,7,5,2,4]=>0001011=>7
[6,3,8,2,7,5,1,4]=>0001111=>7
[6,8,4,2,7,1,5,3]=>0011011=>7
[8,6,4,7,3,1,5,2]=>0101111=>7
[8,4,5,7,3,1,6,2]=>0100111=>7
[8,4,2,5,7,1,6,3]=>0010111=>7
[8,3,4,7,2,6,1,5]=>0000111=>7
[8,7,1,3,4,6,2,5]=>0000111=>7
[8,3,7,2,4,6,1,5]=>0000111=>7
[2,8,4,5,7,1,6,3]=>0000111=>7
[8,7,3,4,5,1,6,2]=>0001111=>7
[8,7,4,5,2,6,1,3]=>0001111=>7
[5,8,7,2,3,6,1,4]=>0000111=>7
[8,7,2,3,4,6,1,5]=>0000111=>7
[8,7,2,3,6,1,4,5]=>0000111=>7
[1,3,2,8,5,4,7,6]=>0101011=>7
[4,2,8,5,3,7,1,6]=>0011011=>7
[5,2,1,8,4,3,7,6]=>1011011=>7
[6,2,8,4,3,7,5,1]=>0011111=>7
[7,2,8,4,3,1,6,5]=>0110111=>7
[7,3,4,8,2,1,6,5]=>1000111=>7
[6,3,4,8,2,7,5,1]=>0001111=>7
[5,3,4,1,8,2,7,6]=>0011011=>7
[8,1,4,5,2,3,7,6]=>0001011=>7
[8,1,5,4,3,2,7,6]=>0111011=>7
[3,5,4,2,8,1,7,6]=>0011011=>7
[4,5,3,2,8,7,1,6]=>0101011=>7
[6,4,3,2,8,7,5,1]=>0111111=>7
[6,5,3,2,1,7,8,4]=>1101101=>7
[5,6,3,2,7,8,4,1]=>0110101=>7
[4,1,6,3,2,7,8,5]=>0110101=>7
[3,6,4,2,7,8,1,5]=>0010101=>7
[8,1,6,4,3,7,2,5]=>0010111=>7
[8,1,7,4,3,6,5,2]=>0011111=>7
[2,7,4,1,3,6,5,8]=>0010110=>7
[3,7,4,2,6,1,5,8]=>0010110=>7
[4,1,7,3,2,6,5,8]=>0110110=>7
[5,7,3,2,6,4,8,1]=>0100111=>7
[6,7,3,2,5,4,1,8]=>0111010=>7
[7,6,3,2,1,5,4,8]=>1101110=>7
[4,7,5,6,2,3,8,1]=>0000111=>7
[3,1,7,5,6,2,4,8]=>0100110=>7
[2,7,5,6,1,3,4,8]=>0000110=>7
[2,6,5,7,1,3,8,4]=>0000111=>7
[4,6,5,7,2,8,1,3]=>0000111=>7
[5,6,4,7,2,8,3,1]=>0100111=>7
[6,5,4,1,7,2,8,3]=>0011111=>7
[7,5,4,6,2,1,8,3]=>1001111=>7
[6,4,5,7,1,8,2,3]=>0000111=>7
[5,4,6,1,7,8,2,3]=>0001101=>7
[8,1,5,6,7,2,3,4]=>0000011=>7
[2,1,4,6,8,7,3,5]=>1000011=>7
[3,4,6,8,7,1,2,5]=>0000011=>7
[4,3,1,6,8,7,2,5]=>0110011=>7
[5,3,6,8,7,2,4,1]=>0011011=>7
[6,3,5,1,8,7,2,4]=>0001111=>7
[7,3,5,8,6,2,1,4]=>1000111=>7
[7,2,8,5,6,3,1,4]=>0100111=>7
[6,2,8,5,1,7,3,4]=>0001111=>7
[4,2,1,8,6,7,3,5]=>1010011=>7
[1,3,2,8,6,7,4,5]=>0100011=>7
[2,3,8,6,7,1,4,5]=>0000011=>7
[8,1,3,2,6,7,4,5]=>0100011=>7
[2,3,8,7,1,6,5,4]=>0001111=>7
[4,2,8,7,6,1,5,3]=>0011111=>7
[5,2,8,7,6,4,1,3]=>0011111=>7
[7,2,1,8,6,5,4,3]=>1011111=>7
[7,3,6,1,8,5,4,2]=>0011111=>7
[6,3,7,8,5,4,2,1]=>1011101=>7
[5,3,7,8,6,4,1,2]=>0011101=>7
[4,3,1,7,8,6,5,2]=>0111101=>7
[3,4,7,8,6,1,5,2]=>0001101=>7
[8,1,5,7,6,2,4,3]=>0010111=>7
[3,5,7,6,8,1,4,2]=>0010011=>7
[4,5,7,6,8,3,1,2]=>0100011=>7
[5,4,1,7,6,8,3,2]=>0111011=>7
[6,4,7,5,8,3,2,1]=>1100111=>7
[7,4,6,5,1,8,3,2]=>0101111=>7
[7,5,6,4,3,1,8,2]=>0110111=>7
[6,5,1,7,4,3,8,2]=>0011111=>7
[4,6,7,5,3,8,1,2]=>0001011=>7
[3,6,7,5,1,4,8,2]=>0001011=>7
[8,1,6,7,5,4,2,3]=>0011011=>7
[8,1,7,6,5,4,3,2]=>0111111=>7
[2,7,6,1,5,4,3,8]=>0011110=>7
[3,7,6,5,1,4,2,8]=>0011110=>7
[4,7,6,5,3,1,2,8]=>0101110=>7
[8,6,4,3,1,5,7,2]=>0110111=>7
[8,6,4,1,5,2,7,3]=>0011111=>7
[8,6,5,1,3,2,7,4]=>0101111=>7
[8,6,3,1,7,2,4,5]=>0100111=>7
[8,7,3,1,5,2,4,6]=>0101011=>7
[5,3,1,7,2,4,6,8]=>0101010=>7
[8,7,1,2,4,5,3,6]=>0001011=>7
[8,6,1,2,4,7,3,5]=>0000111=>7
[8,5,1,2,6,7,3,4]=>0001011=>7
[8,5,1,6,4,2,7,3]=>0011111=>7
[8,5,1,3,6,4,7,2]=>0001111=>7
[8,6,1,5,3,4,7,2]=>0001111=>7
[8,6,1,5,2,4,7,3]=>0001111=>7
[8,6,1,2,5,7,3,4]=>0000111=>7
[8,6,1,2,7,4,3,5]=>0010111=>7
[8,7,1,2,5,4,3,6]=>0011011=>7
[5,1,4,2,3,8,6,7]=>0011001=>7
[5,1,4,2,7,3,6,8]=>0011010=>7
[7,1,5,8,2,6,3,4]=>0000111=>7
[5,7,8,1,2,4,6,3]=>0000101=>7
[5,7,8,1,3,4,6,2]=>0000101=>7
[5,8,1,7,3,4,6,2]=>0000111=>7
[8,1,5,7,2,4,6,3]=>0000111=>7
[8,4,1,2,7,6,3,5]=>0010111=>7
[1,4,2,3,8,7,5,6]=>0010011=>7
[1,4,2,7,6,3,5,8]=>0010110=>7
[6,1,2,8,7,5,3,4]=>0001111=>7
[6,1,2,4,8,7,5,3]=>0001111=>7
[3,1,8,4,6,7,5,2]=>0101011=>7
[3,1,7,6,4,8,5,2]=>0101111=>7
[7,1,2,4,6,8,5,3]=>0001011=>7
[7,1,2,6,8,5,3,4]=>0001011=>7
[6,1,2,7,8,5,3,4]=>0001101=>7
[6,1,2,7,4,8,5,3]=>0001111=>7
[3,1,6,4,7,8,5,2]=>0101101=>7
[5,7,1,3,8,4,6,2]=>0000111=>7
[5,7,1,8,4,2,6,3]=>0010111=>7
[7,1,5,3,2,8,6,4]=>0101111=>7
[7,1,4,5,2,8,6,3]=>0001111=>7
[4,7,3,1,5,8,6,2]=>0100111=>7
[4,8,7,3,1,5,6,2]=>0100111=>7
[8,1,7,4,5,2,6,3]=>0001111=>7
[8,1,7,5,3,2,6,4]=>0101111=>7
[8,3,7,1,2,6,4,5]=>0000111=>7
[3,1,2,8,4,7,5,6]=>0100011=>7
[3,1,2,8,6,4,5,7]=>0100101=>7
[3,1,7,2,6,4,5,8]=>0100110=>7
[1,4,2,3,8,6,5,7]=>0010101=>7
[1,4,2,3,8,5,7,6]=>0010011=>7
[5,8,1,7,2,4,6,3]=>0000111=>7
[5,8,1,3,4,7,6,2]=>0000111=>7
[3,1,8,6,4,7,5,2]=>0101111=>7
[8,1,2,6,7,4,5,3]=>0001011=>7
[6,1,2,8,7,3,5,4]=>0001111=>7
[1,2,3,5,8,4,7,6]=>0000011=>7
[1,2,3,5,8,6,4,7]=>0000101=>7
[7,1,2,8,3,6,5,4]=>0001111=>7
[7,1,2,8,6,4,5,3]=>0001111=>7
[3,1,7,8,4,6,5,2]=>0101101=>7
[3,1,8,7,6,4,5,2]=>0101111=>7
[8,1,2,7,4,6,5,3]=>0001111=>7
[8,1,2,7,3,6,5,4]=>0001111=>7
[1,2,3,5,8,7,4,6]=>0000011=>7
[1,2,3,6,8,5,4,7]=>0001001=>7
[7,8,5,6,3,1,4,2]=>0110101=>7
[7,8,5,3,6,1,2,4]=>0001101=>7
[7,5,6,3,1,4,2,8]=>0110110=>7
[7,5,8,3,1,4,2,6]=>0110011=>7
[7,8,5,3,1,4,2,6]=>0111001=>7
[7,8,5,3,1,6,2,4]=>0101101=>7
[7,8,5,3,1,6,4,2]=>0111101=>7
[7,8,5,3,6,1,4,2]=>0011101=>7
[7,8,5,3,6,4,1,2]=>0011101=>7
[7,8,5,3,4,1,6,2]=>0011101=>7
[7,8,5,3,1,4,6,2]=>0101101=>7
[7,8,5,3,1,2,6,4]=>0101101=>7
[7,5,3,8,1,2,6,4]=>0001111=>7
[7,5,8,3,4,1,6,2]=>0010111=>7
[7,5,8,3,4,6,1,2]=>0000111=>7
[7,5,6,3,4,1,8,2]=>0010111=>7
[7,5,6,3,1,4,8,2]=>0100111=>7
[7,5,6,3,1,2,8,4]=>0100111=>7
[7,5,3,6,1,2,8,4]=>0001111=>7
[7,5,3,4,1,2,8,6]=>0011011=>7
[7,5,3,1,4,2,6,8]=>0111010=>7
[7,5,3,1,4,2,8,6]=>0111011=>7
[7,5,3,1,6,2,8,4]=>0101111=>7
[7,5,3,1,6,4,8,2]=>0101111=>7
[7,5,3,6,1,4,8,2]=>0001111=>7
[7,5,3,6,4,1,8,2]=>0011111=>7
[7,5,3,6,4,8,1,2]=>0001111=>7
[7,5,3,8,4,6,1,2]=>0001111=>7
[7,5,3,8,1,4,6,2]=>0001111=>7
[7,5,3,1,8,4,6,2]=>0101111=>7
[7,5,3,1,8,2,6,4]=>0101111=>7
[7,5,3,1,8,2,4,6]=>0101011=>7
[7,5,3,1,6,2,4,8]=>0101110=>7
[7,5,3,1,6,4,2,8]=>0111110=>7
[7,5,3,1,8,4,2,6]=>0111011=>7
[7,5,3,1,8,6,2,4]=>0101111=>7
[7,5,3,8,1,6,4,2]=>0011111=>7
[7,5,3,8,6,1,4,2]=>0011111=>7
[7,5,3,8,6,4,1,2]=>0011111=>7
[7,5,8,3,6,4,1,2]=>0010111=>7
[7,5,8,3,6,1,4,2]=>0010111=>7
[7,5,8,3,1,6,4,2]=>0110111=>7
[7,5,8,3,1,6,2,4]=>0100111=>7
[7,5,3,6,1,4,2,8]=>0011110=>7
[7,5,3,6,4,1,2,8]=>0011110=>7
[7,5,3,8,4,1,2,6]=>0011011=>7
[7,5,8,6,3,1,2,4]=>0100111=>7
[7,5,8,6,3,1,4,2]=>0110111=>7
[7,5,8,6,3,4,1,2]=>0010111=>7
[7,5,6,8,3,1,4,2]=>0110011=>7
[7,5,6,3,8,1,2,4]=>0000111=>7
[7,5,3,4,1,6,2,8]=>0011110=>7
[7,5,3,4,1,8,2,6]=>0011011=>7
[7,5,6,3,1,8,2,4]=>0100111=>7
[7,5,6,3,1,8,4,2]=>0110111=>7
[7,5,6,3,8,1,4,2]=>0010111=>7
[7,5,6,3,8,4,1,2]=>0010111=>7
[7,5,3,6,8,4,1,2]=>0011011=>7
[7,5,3,6,8,1,4,2]=>0011011=>7
[7,5,3,6,1,8,4,2]=>0011111=>7
[7,5,3,1,6,8,4,2]=>0111011=>7
[7,5,3,1,6,8,2,4]=>0101011=>7
[7,5,3,1,4,8,2,6]=>0101011=>7
[7,5,3,1,4,6,2,8]=>0101110=>7
[7,5,3,1,2,6,4,8]=>0101110=>7
[7,5,3,1,2,8,4,6]=>0101011=>7
[7,5,3,1,2,8,6,4]=>0101111=>7
[7,5,3,1,4,8,6,2]=>0101111=>7
[7,5,3,4,1,8,6,2]=>0011111=>7
[7,5,3,4,8,1,6,2]=>0001111=>7
[7,5,3,4,8,6,1,2]=>0001111=>7
[7,5,3,4,6,1,8,2]=>0001111=>7
[7,5,3,4,1,6,8,2]=>0011011=>7
[7,5,3,1,4,6,8,2]=>0101011=>7
[7,5,3,1,2,6,8,4]=>0101011=>7
[7,5,3,1,2,4,8,6]=>0101011=>7
[3,6,2,5,4,1,8,7]=>0011101=>7
[3,5,2,8,4,7,6,1]=>0001111=>7
[5,4,7,3,2,8,6,1]=>0101111=>7
[5,4,8,3,2,7,6,1]=>0101111=>7
[6,4,5,3,2,1,8,7]=>1101101=>7
[5,3,2,6,4,1,8,7]=>0111101=>7
[4,5,8,3,2,7,6,1]=>0100111=>7
[4,7,6,3,8,5,2,1]=>1001111=>7
[4,8,6,3,7,5,2,1]=>1001111=>7
[4,8,5,3,2,7,6,1]=>0101111=>7
[5,8,4,3,2,7,6,1]=>0110111=>7
[5,3,2,8,4,7,6,1]=>0101111=>7
[2,1,5,8,4,7,6,3]=>1000111=>7
[5,3,2,7,4,8,6,1]=>0101111=>7
[5,7,4,3,2,8,6,1]=>0110111=>7
[4,7,5,3,2,8,6,1]=>0101111=>7
[4,7,8,3,6,5,2,1]=>1001101=>7
[4,6,8,3,7,5,2,1]=>1001011=>7
[7,6,4,3,8,5,2,1]=>1011111=>7
[7,3,2,6,8,5,4,1]=>0111011=>7
[2,1,8,6,7,5,4,3]=>1011011=>7
[8,3,2,6,7,5,4,1]=>0111011=>7
[8,6,4,3,7,5,2,1]=>1011111=>7
[8,5,7,6,4,3,2,1]=>1110111=>7
[8,4,5,3,2,7,6,1]=>0101111=>7
[8,4,7,3,6,5,2,1]=>1001111=>7
[8,4,6,3,7,5,2,1]=>1001111=>7
[7,4,6,3,8,5,2,1]=>1001111=>7
[3,7,2,6,8,5,4,1]=>0011011=>7
[3,8,2,6,7,5,4,1]=>0011011=>7
[3,8,2,5,4,7,6,1]=>0001111=>7
[3,7,2,8,6,5,4,1]=>0011111=>7
[3,6,2,8,7,5,4,1]=>0011111=>7
[6,4,7,3,8,5,2,1]=>1001111=>7
[6,4,8,3,7,5,2,1]=>1001111=>7
[7,4,8,3,6,5,2,1]=>1001111=>7
[7,4,5,3,2,8,6,1]=>0101111=>7
[7,5,4,3,2,8,6,1]=>0111111=>7
[7,3,2,5,4,8,6,1]=>0101111=>7
[2,1,7,5,4,8,6,3]=>1001111=>7
[7,3,2,8,6,5,4,1]=>0111111=>7
[7,8,4,3,6,5,2,1]=>1011101=>7
[6,8,5,7,4,3,2,1]=>1110011=>7
[6,8,4,3,7,5,2,1]=>1011011=>7
[6,3,2,8,7,5,4,1]=>0111111=>7
[6,3,2,7,8,5,4,1]=>0111101=>7
[6,7,4,3,8,5,2,1]=>1011011=>7
[2,3,1,4,5,6,7,8,9]=>01000000=>8
[2,3,4,1,5,6,7,8,9]=>00100000=>8
[2,3,4,5,1,6,7,8,9]=>00010000=>8
[2,3,4,5,6,1,7,8,9]=>00001000=>8
[2,3,1,4,5,6,7,8,9,10]=>010000000=>9
[2,4,3,1,5,6,7,8,9]=>01100000=>8
[2,3,4,1,5,6,7,8,9,10]=>001000000=>9
[2,3,5,4,1,6,7,8,9]=>00110000=>8
[2,3,4,5,1,6,7,8,9,10]=>000100000=>9
[2,3,4,6,5,1,7,8,9]=>00011000=>8
[2,3,4,5,6,1,7,8,9,10]=>000010000=>9
[2,3,4,5,7,6,1,8,9]=>00001100=>8
[2,3,4,5,6,7,1,8,9,10]=>000001000=>9
[2,3,4,5,6,8,7,1,9]=>00000110=>8
[2,3,4,5,6,7,8,1,9,10]=>000000100=>9
[2,3,4,5,6,7,9,8,1]=>00000011=>8
[4,6,8,3,5,7,1,2]=>0000011=>7
[6,8,1,2,4,5,7,3]=>0000011=>7
[3,5,8,2,4,7,1,6]=>0000011=>7
[8,3,5,2,4,1,6,7]=>0011001=>7
[4,2,5,7,3,6,1,8]=>0010110=>7
[4,5,2,8,3,1,6,7]=>0101001=>7
[4,2,5,8,3,7,1,6]=>0010011=>7
[2,1,6,8,4,7,3,5]=>1000011=>7
[1,2,5,8,3,6,7,4]=>0000011=>7
[5,3,6,8,4,7,1,2]=>0001011=>7
[1,6,5,8,2,4,7,3]=>0000111=>7
[3,1,2,6,8,5,7,4]=>0100011=>7
[1,4,3,8,2,6,7,5]=>0010011=>7
[5,4,8,3,2,1,6,7]=>1101001=>7
[5,4,3,7,2,6,1,8]=>0011110=>7
[4,3,6,2,7,5,1,8]=>0011110=>7
[4,6,3,2,1,8,5,7]=>1100101=>7
[4,1,7,3,2,5,8,6]=>0110011=>7
[4,3,1,7,8,2,6,5]=>0110101=>7
[3,5,1,2,7,8,6,4]=>0001101=>7
[7,5,1,4,8,2,6,3]=>0001111=>7
[5,4,7,3,8,6,1,2]=>0001111=>7
[5,8,4,7,6,3,1,2]=>0100111=>7
[5,8,7,1,4,2,6,3]=>0010111=>7
[8,3,5,1,2,7,6,4]=>0001111=>7
[4,8,3,1,7,2,6,5]=>0100111=>7
[1,8,4,3,5,2,7,6]=>0011011=>7
[4,6,3,1,5,2,8,7]=>0101101=>7
[4,7,3,6,5,2,1,8]=>1001110=>7
[5,3,7,6,4,2,1,8]=>1011110=>7
[1,6,3,4,2,8,7,5]=>0010111=>7
[1,8,3,6,2,7,5,4]=>0001111=>7
[1,6,8,7,4,2,5,3]=>0011011=>7
[6,4,8,7,5,3,1,2]=>0101111=>7
[7,6,4,3,8,5,1,2]=>0011111=>7
[1,7,6,2,8,4,5,3]=>0001111=>7
[7,1,3,2,6,8,5,4]=>0101011=>7
[1,5,3,2,7,4,8,6]=>0101011=>7
[6,3,2,1,8,5,4,7]=>1101101=>7
[6,5,3,2,7,4,1,8]=>0111110=>7
[5,2,6,3,7,4,1,8]=>0011110=>7
[2,8,5,3,1,6,4,7]=>0101101=>7
[2,1,7,3,8,5,4,6]=>1001011=>7
[1,6,2,3,7,8,5,4]=>0001101=>7
[1,6,7,2,8,4,5,3]=>0001011=>7
[5,7,1,8,2,4,6,3]=>0000111=>7
[5,1,2,7,8,3,6,4]=>0001101=>7
[2,4,1,7,8,6,3,5]=>0010101=>7
[4,2,1,7,3,8,5,6]=>1010011=>7
[6,2,8,4,3,1,5,7]=>0110101=>7
[7,3,2,1,8,4,5,6]=>1100011=>7
[7,8,3,2,5,6,1,4]=>0100101=>7
[7,1,8,2,4,5,6,3]=>0000111=>7
[8,7,6,1,2,4,5,3]=>0001111=>7
[8,3,7,6,2,1,4,5]=>1000111=>7
[3,2,8,7,5,1,4,6]=>0101011=>7
[8,3,6,5,2,1,4,7]=>1001101=>7
[7,6,3,5,2,4,1,8]=>0011110=>7
[7,4,6,2,5,3,1,8]=>0101110=>7
[8,2,4,1,6,5,3,7]=>0011101=>7
[4,2,8,1,7,5,3,6]=>0011011=>7
[8,2,4,1,7,6,3,5]=>0010111=>7
[8,7,1,5,6,2,4,3]=>0010111=>7
[8,5,7,3,6,4,1,2]=>0010111=>7
[6,8,3,7,5,4,1,2]=>0011011=>7
[8,1,6,7,5,2,4,3]=>0011011=>7
[8,1,2,6,4,3,7,5]=>0010111=>7
[2,8,1,7,5,4,3,6]=>0011011=>7
[2,5,1,8,6,4,3,7]=>0011101=>7
[5,7,2,6,4,3,1,8]=>0110110=>7
[6,2,7,5,4,3,1,8]=>0111110=>7
[2,1,8,6,5,4,3,7]=>1011101=>7
[1,2,7,5,4,3,8,6]=>0011011=>7
[1,7,2,4,3,8,6,5]=>0010111=>7
[1,7,2,8,3,6,5,4]=>0001111=>7
[1,7,8,6,5,2,4,3]=>0011101=>7
[7,3,8,6,5,4,1,2]=>0011111=>7
[1,8,7,6,5,2,4,3]=>0011111=>7
[8,1,7,3,2,6,5,4]=>0101111=>7
[5,1,4,3,2,8,7,6]=>0111011=>7
[8,6,5,3,2,1,7,4]=>1101111=>7
[8,6,3,2,1,7,4,5]=>1100111=>7
[8,6,5,4,1,7,2,3]=>0011111=>7
[8,6,5,1,7,3,2,4]=>0101111=>7
[8,6,1,7,4,3,2,5]=>0110111=>7
[4,6,3,2,7,5,1,8]=>0101110=>7
[1,4,3,7,2,5,8,6]=>0010011=>7
[7,4,8,3,1,6,2,5]=>0100111=>7
[7,1,5,8,3,2,6,4]=>0100111=>7
[5,7,4,1,8,2,6,3]=>0010111=>7
[5,7,4,3,1,8,6,2]=>0110111=>7
[1,8,7,2,5,4,6,3]=>0001111=>7
[1,8,5,3,7,2,6,4]=>0001111=>7
[4,3,1,8,7,5,2,6]=>0111011=>7
[1,4,8,6,3,5,2,7]=>0001101=>7
[7,4,6,3,5,2,1,8]=>1001110=>7
[1,3,5,6,8,4,2,7]=>0010001=>7
[3,5,4,8,7,1,2,6]=>0001011=>7
[3,1,4,6,8,7,2,5]=>0100011=>7
[1,6,3,8,7,2,5,4]=>0001111=>7
[1,6,2,4,8,7,5,3]=>0001111=>7
[8,4,1,6,7,5,3,2]=>0111011=>7
[7,1,6,4,8,5,2,3]=>0001111=>7
[7,3,6,8,5,1,2,4]=>0001011=>7
[1,3,7,2,6,8,4,5]=>0000011=>7
[3,6,5,2,8,1,4,7]=>0001101=>7
[3,6,5,7,2,4,1,8]=>0010110=>7
[4,2,6,3,8,1,5,7]=>0010101=>7
[4,2,6,7,3,5,1,8]=>0011010=>7
[3,6,2,4,7,5,1,8]=>0001110=>7
[3,6,2,4,1,8,5,7]=>0010101=>7
[7,3,8,2,1,6,4,5]=>1000111=>7
[7,3,5,2,1,8,6,4]=>1001111=>7
[8,7,6,4,3,1,5,2]=>0111111=>7
[8,7,6,4,1,5,2,3]=>0011111=>7
[3,8,7,2,1,4,6,5]=>1000111=>7
[3,8,2,7,1,5,4,6]=>0001011=>7
[3,6,8,2,1,5,4,7]=>1001001=>7
[2,4,8,1,6,5,3,7]=>0001101=>7
[4,2,8,1,5,7,3,6]=>0010011=>7
[8,5,7,6,1,4,2,3]=>0010111=>7
[8,6,1,7,3,5,4,2]=>0011111=>7
[8,6,1,7,5,4,2,3]=>0011111=>7
[1,6,2,8,7,3,5,4]=>0001111=>7
[1,8,2,4,6,7,3,5]=>0000011=>7
[2,8,5,4,7,1,3,6]=>0001011=>7
[2,1,5,8,6,4,3,7]=>1010101=>7
[7,2,5,6,4,3,1,8]=>0110110=>7
[1,2,5,7,8,4,3,6]=>0010001=>7
[1,2,7,4,8,6,3,5]=>0000111=>7
[1,2,7,8,3,6,5,4]=>0001101=>7
[7,1,8,6,3,5,4,2]=>0011111=>7
[1,8,7,6,3,5,2,4]=>0001111=>7
[1,8,7,4,6,3,2,5]=>0100111=>7
[7,1,5,8,3,4,6,2]=>0000111=>7
[7,1,6,4,2,3,5,8]=>0010110=>7
[8,6,2,4,7,3,5,1]=>0001111=>7
[8,6,2,4,5,7,3,1]=>0100111=>7
[2,7,1,4,5,8,3,6]=>0000011=>7
[7,1,6,4,5,2,3,8]=>0001110=>7
[7,1,4,5,6,8,2,3]=>0000011=>7
[7,1,4,6,5,8,3,2]=>0100111=>7
[7,1,2,3,8,5,4,6]=>0001011=>7
[7,1,5,4,3,8,2,6]=>0011011=>7
[7,1,3,4,2,6,8,5]=>0010011=>7
[7,1,5,4,6,2,8,3]=>0001111=>7
[7,1,5,6,4,3,8,2]=>0010111=>7
[7,1,6,5,4,3,2,8]=>0111110=>7
[8,6,2,5,4,3,7,1]=>0011111=>7
[2,5,1,7,4,3,6,8]=>0011010=>7
[2,5,1,4,7,8,6,3]=>0001101=>7
[3,5,1,4,8,6,2,7]=>0001101=>7
[3,6,2,4,7,8,1,5]=>0000101=>7
[5,6,2,4,8,7,1,3]=>0000111=>7
[6,3,8,2,4,7,1,5]=>0000111=>7
[6,5,8,7,2,3,1,4]=>0100111=>7
[6,5,7,8,2,4,1,3]=>0010101=>7
[6,3,4,2,8,5,1,7]=>0011101=>7
[3,4,7,2,5,8,1,6]=>0000011=>7
[4,6,8,1,3,5,2,7]=>0001001=>7
[4,3,8,1,2,7,5,6]=>0010011=>7
[3,6,4,1,7,2,5,8]=>0010110=>7
[2,8,3,1,5,6,4,7]=>0100101=>7
[3,8,7,1,5,4,2,6]=>0011011=>7
[4,3,1,7,6,8,2,5]=>0110011=>7
[3,4,1,7,5,6,8,2]=>0010011=>7
[3,4,1,5,7,6,2,8]=>0010110=>7
[3,7,4,1,6,2,8,5]=>0010111=>7
[8,4,7,2,5,3,6,1]=>0001111=>7
[4,7,8,1,2,3,6,5]=>0000101=>7
[2,8,6,1,5,3,7,4]=>0001111=>7
[7,6,5,1,3,8,2,4]=>0001111=>7
[7,6,5,1,3,4,8,2]=>0001111=>7
[7,2,6,4,1,3,8,5]=>0010111=>7
[6,7,5,2,1,3,8,4]=>1001011=>7
[8,4,5,3,7,2,6,1]=>0001111=>7
[4,7,5,2,8,1,6,3]=>0001111=>7
[2,6,4,3,1,5,7,8]=>0110100=>7
[7,3,8,4,1,5,2,6]=>0011011=>7
[7,2,3,4,1,6,5,8]=>0010110=>7
[4,2,8,3,6,1,5,7]=>0010101=>7
[6,8,5,7,2,1,3,4]=>1000011=>7
[4,8,5,2,7,1,3,6]=>0001011=>7
[6,3,5,2,1,7,4,8]=>1001110=>7
[6,8,5,3,1,4,2,7]=>0111001=>7
[3,6,5,4,2,8,1,7]=>0011101=>7
[1,6,4,7,2,5,3,8]=>0001110=>7
[1,6,4,8,2,5,3,7]=>0001101=>7
[1,6,5,8,2,4,3,7]=>0010101=>7
[1,6,8,2,4,3,7,5]=>0010011=>7
[1,6,2,4,3,7,8,5]=>0010101=>7
[1,5,6,2,4,7,3,8]=>0000110=>7
[1,5,6,2,4,7,8,3]=>0000101=>7
[1,5,8,2,4,7,3,6]=>0000011=>7
[1,5,7,2,4,8,3,6]=>0000011=>7
[1,6,5,7,2,4,3,8]=>0010110=>7
[1,6,7,2,4,3,8,5]=>0010011=>7
[1,5,6,7,2,4,8,3]=>0000011=>7
[1,5,8,2,4,6,7,3]=>0000011=>7
[1,5,7,2,4,6,8,3]=>0000011=>7
[1,5,7,8,3,2,4,6]=>0100001=>7
[1,5,8,3,2,4,6,7]=>0100001=>7
[1,5,6,2,4,8,3,7]=>0000101=>7
[1,7,6,2,8,3,4,5]=>0000111=>7
[1,7,3,4,2,8,6,5]=>0010111=>7
[1,6,2,4,3,8,7,5]=>0010111=>7
[1,5,6,2,4,8,7,3]=>0000111=>7
[1,5,8,7,3,2,4,6]=>0100011=>7
[1,4,2,3,5,8,7,6]=>0010011=>7
[1,5,2,3,4,8,7,6]=>0001011=>7
[1,6,5,2,3,8,7,4]=>0001111=>7
[1,7,4,2,8,6,5,3]=>0011111=>7
[1,7,6,5,2,8,4,3]=>0011111=>7
[1,6,7,5,2,3,8,4]=>0001011=>7
[1,7,5,2,8,4,3,6]=>0011011=>7
[1,7,5,6,2,8,3,4]=>0000111=>7
[1,5,7,6,2,4,8,3]=>0000111=>7
[1,5,8,3,2,4,7,6]=>0100011=>7
[1,6,5,2,3,7,4,8]=>0001110=>7
[1,6,5,2,3,7,8,4]=>0001101=>7
[1,6,8,4,2,3,7,5]=>0010011=>7
[1,7,4,6,2,8,3,5]=>0000111=>7
[1,7,3,5,2,8,4,6]=>0001011=>7
[1,6,8,5,2,3,7,4]=>0001011=>7
[1,6,4,2,3,7,8,5]=>0010101=>7
[1,6,4,2,3,7,5,8]=>0010110=>7
[1,5,8,6,2,4,7,3]=>0000111=>7
[1,5,7,3,2,4,8,6]=>0100011=>7
[1,7,3,4,2,8,5,6]=>0010011=>7
[1,7,4,2,8,5,3,6]=>0011011=>7
[1,6,7,4,2,3,8,5]=>0010011=>7
[1,6,4,2,3,8,5,7]=>0010101=>7
[1,7,6,4,2,8,5,3]=>0011111=>7
[1,7,5,2,8,6,4,3]=>0011111=>7
[1,6,4,2,3,8,7,5]=>0010111=>7
[7,3,5,6,1,4,8,2]=>0000111=>7
[3,7,5,6,1,4,8,2]=>0000111=>7
[8,2,4,1,6,7,5,3]=>0011011=>7
[8,6,1,4,2,7,5,3]=>0011111=>7
[3,6,1,4,2,8,5,7]=>0010101=>7
[1,6,7,4,3,5,8,2]=>0010011=>7
[6,7,1,4,3,5,8,2]=>0010011=>7
[7,6,1,4,3,5,8,2]=>0010111=>7
[3,5,4,1,6,7,8,2]=>0011001=>7
[4,7,1,6,3,5,8,2]=>0000111=>7
[3,1,4,7,6,5,8,2]=>0100111=>7
[6,1,7,4,3,5,8,2]=>0010111=>7
[7,1,6,4,3,5,8,2]=>0010111=>7
[1,7,6,4,3,5,8,2]=>0010111=>7
[8,1,6,4,2,7,5,3]=>0011111=>7
[8,4,1,3,7,2,5,6]=>0010011=>7
[4,7,1,3,8,2,5,6]=>0000011=>7
[7,4,1,3,8,2,5,6]=>0010011=>7
[1,3,6,4,2,8,5,7]=>0010101=>7
[4,7,3,1,2,8,5,6]=>0100011=>7
[4,7,8,1,2,6,5,3]=>0001101=>7
[6,8,1,4,2,7,5,3]=>0011011=>7
[1,8,6,4,2,7,5,3]=>0011111=>7
[4,8,1,3,7,2,5,6]=>0000011=>7
[8,7,1,3,6,2,5,4]=>0001111=>7
[6,8,5,7,3,2,1,4]=>1100011=>7
[1,8,4,3,7,2,5,6]=>0010011=>7
[2,8,3,4,7,6,1,5]=>0000111=>7
[3,7,8,4,6,2,1,5]=>1000101=>7
[3,7,4,6,8,2,1,5]=>1000011=>7
[2,4,3,7,8,6,1,5]=>0010101=>7
[1,4,7,3,8,2,5,6]=>0000011=>7
[5,7,6,8,3,2,1,4]=>1100011=>7
[2,5,3,4,8,6,1,7]=>0001101=>7
[3,7,5,4,8,2,1,6]=>1001011=>7
[7,1,3,4,2,8,5,6]=>0010011=>7
[6,1,4,3,8,2,5,7]=>0010101=>7
[4,1,7,3,8,2,5,6]=>0010011=>7
[8,1,4,3,7,2,5,6]=>0010011=>7
[8,2,3,4,7,6,1,5]=>0000111=>7
[4,2,3,7,8,6,1,5]=>0010101=>7
[5,2,3,4,8,6,1,7]=>0001101=>7
[2,7,5,6,3,8,1,4]=>0000111=>7
[5,7,2,6,3,8,1,4]=>0000111=>7
[5,7,2,6,8,4,1,3]=>0010011=>7
[7,2,5,6,8,4,1,3]=>0010011=>7
[4,2,3,8,5,6,1,7]=>0010101=>7
[5,2,3,8,7,6,1,4]=>0001111=>7
[8,2,3,7,5,6,1,4]=>0000111=>7
[6,1,8,3,7,2,5,4]=>0001111=>7
[1,7,8,4,2,6,5,3]=>0011101=>7
[4,7,1,8,2,5,6,3]=>0000111=>7
[3,7,4,8,5,2,1,6]=>1001011=>7
[2,4,3,8,5,6,1,7]=>0010101=>7
[1,4,8,3,6,2,5,7]=>0000101=>7
[7,5,8,6,3,2,1,4]=>1100111=>7
[6,5,8,7,3,2,1,4]=>1100111=>7
[8,5,7,6,3,2,1,4]=>1100111=>7
[2,5,3,8,7,6,1,4]=>0001111=>7
[3,7,5,8,6,2,1,4]=>1000111=>7
[3,7,8,6,5,2,1,4]=>1001101=>7
[1,8,7,3,6,2,5,4]=>0001111=>7
[6,8,7,5,3,2,1,4]=>1101011=>7
[5,7,6,8,3,4,1,2]=>0010011=>7
[3,7,6,8,4,5,1,2]=>0001011=>7
[1,5,4,7,6,8,2,3]=>0001011=>7
[1,7,4,6,5,8,2,3]=>0000111=>7
[3,7,4,6,5,8,1,2]=>0000111=>7
[3,5,4,8,6,7,1,2]=>0001011=>7
[3,8,4,6,5,7,1,2]=>0000111=>7
[3,6,4,7,5,8,1,2]=>0000111=>7
[1,6,2,7,5,8,3,4]=>0000111=>7
[1,6,4,8,5,7,2,3]=>0000111=>7
[1,8,4,6,5,7,2,3]=>0000111=>7
[1,5,4,8,6,7,2,3]=>0001011=>7
[7,8,1,5,4,6,2,3]=>0001101=>7
[7,8,1,5,2,4,3,6]=>0011001=>7
[1,8,2,6,5,7,3,4]=>0000111=>7
[1,7,2,8,5,6,3,4]=>0000111=>7
[1,7,2,6,5,8,3,4]=>0000111=>7
[1,5,2,7,6,8,3,4]=>0001011=>7
[1,7,6,8,2,5,3,4]=>0001011=>7
[1,7,6,8,4,5,2,3]=>0001011=>7
[5,7,6,8,1,4,2,3]=>0010011=>7
[7,8,5,6,1,3,2,4]=>0100101=>7
[5,8,6,7,1,3,2,4]=>0100011=>7
[1,3,2,7,6,8,4,5]=>0100011=>7
[1,7,6,8,2,4,3,5]=>0010011=>7
[7,8,1,3,2,6,4,5]=>0100101=>7
[7,8,1,6,2,4,3,5]=>0010101=>7
[1,8,6,7,2,4,3,5]=>0010011=>7
[7,8,1,4,2,6,3,5]=>0010101=>7
[7,8,1,4,2,5,3,6]=>0011001=>7
[7,8,2,1,4,3,6,5]=>1010101=>7
[7,8,1,2,4,3,5,6]=>0010001=>7
[4,3,6,5,8,7,1,2]=>0010111=>7
[3,4,6,5,7,8,1,2]=>0000101=>7
[3,4,1,5,6,7,8,9,2]=>00100001=>8
[3,4,5,1,6,7,8,9,2]=>00010001=>4
[3,4,5,6,1,7,8,9,2]=>00001001=>8
[3,4,5,6,7,1,8,9,2]=>00000101=>8
[3,4,5,6,7,8,1,9,2]=>00000011=>8
[3,1,2,5,6,7,8,9,4]=>01000001=>8
[3,4,1,5,6,7,8,9,10,2]=>001000001=>9
[3,4,1,2,6,7,8,9,5]=>00100001=>8
[3,4,5,1,6,7,8,9,10,2]=>000100001=>9
[3,4,5,1,2,7,8,9,6]=>00010001=>4
[3,4,5,6,1,7,8,9,10,2]=>000010001=>9
[3,4,5,6,1,2,8,9,7]=>00001001=>8
[3,4,5,6,7,1,8,9,10,2]=>000001001=>9
[3,4,5,6,7,1,2,9,8]=>00000101=>8
[3,4,5,6,7,8,1,9,10,2]=>000000101=>9
[3,4,5,6,7,8,1,2,9]=>00000010=>8
[3,4,5,6,7,8,9,1,10,2]=>000000011=>9
[1,6,2,3,8,7,4,5]=>0000111=>7
[1,7,4,3,2,8,6,5]=>0110111=>7
[1,4,7,6,2,5,8,3]=>0000111=>7
[1,2,6,5,3,7,4,8]=>0001110=>7
[1,2,6,5,3,7,8,4]=>0001101=>7
[1,3,7,5,2,6,8,4]=>0001011=>7
[1,3,7,4,2,6,8,5]=>0010011=>7
[1,2,6,4,3,7,8,5]=>0010101=>7
[1,2,6,4,3,7,5,8]=>0010110=>7
[1,4,7,3,2,5,8,6]=>0100011=>7
[1,4,3,2,5,8,6,7]=>0110001=>7
[1,5,3,2,4,8,6,7]=>0101001=>7
[1,7,5,3,2,8,6,4]=>0101111=>7
[1,5,3,2,4,8,7,6]=>0101011=>7
[7,6,5,4,3,1,8,2]=>0111111=>7
[6,8,5,4,3,2,1,7]=>1111001=>7
[8,7,6,5,4,3,1,9,2]=>01111111=>8
[7,9,6,5,4,3,2,1,8]=>11111001=>8
[9,8,7,6,5,4,3,1,10,2]=>011111111=>9
[1,7,6,5,4,3,9,8,2]=>00111111=>8
[7,1,5,4,3,8,6,2]=>0011111=>7
[3,6,5,4,8,1,7,2]=>0001111=>7
[6,8,1,4,3,2,7,5]=>0110011=>7
[2,8,5,4,3,7,1,6]=>0011011=>7
[1,9,6,5,4,3,2,8,7]=>01111011=>8
[8,10,7,6,5,4,3,2,1,9]=>111111001=>9
[1,8,7,6,5,4,3,10,9,2]=>001111111=>9
[8,1,6,5,4,3,9,7,2]=>00111111=>8
[3,7,6,5,4,9,1,8,2]=>00011111=>8
[7,6,1,4,3,8,5,2]=>0011111=>7
[4,6,5,8,3,1,7,2]=>0100111=>7
[6,8,5,1,3,2,7,4]=>0101011=>7
[1,8,2,4,3,7,6,5]=>0010111=>7
[7,9,1,5,4,3,2,8,6]=>01110011=>8
[3,8,5,4,7,2,1,6]=>1001011=>7
[2,9,6,5,4,3,8,1,7]=>00111011=>8
[1,10,7,6,5,4,3,2,9,8]=>011111011=>9
[9,1,7,6,5,4,3,10,8,2]=>001111111=>9
[3,8,7,6,5,4,10,1,9,2]=>000111111=>9
[8,7,1,5,4,3,9,6,2]=>00111111=>8
[1,3,6,5,4,9,8,7,2]=>00011111=>8
[4,7,6,5,9,3,1,8,2]=>01001111=>8
[7,6,5,1,3,8,4,2]=>0011111=>7
[1,6,3,4,8,7,5,2]=>0001111=>7
[1,4,5,8,3,7,6,2]=>0000111=>7
[6,8,5,4,1,2,7,3]=>0011011=>7
[1,8,5,2,3,7,6,4]=>0001111=>7
[7,9,6,1,4,3,2,8,5]=>01101011=>8
[6,8,2,4,3,7,1,5]=>0010011=>7
[1,8,3,4,7,2,6,5]=>0000111=>7
[1,9,2,5,4,3,8,7,6]=>00110111=>8
[8,10,1,6,5,4,3,2,9,7]=>011110011=>9
[7,5,8,4,3,2,1,6]=>1110011=>7
[4,8,5,7,3,2,1,6]=>1100011=>7
[3,9,6,5,4,8,2,1,7]=>10011011=>8
[2,10,7,6,5,4,3,9,1,8]=>001111011=>9
[5,1,7,6,8,4,3,2]=>0111011=>7
[6,4,8,5,2,7,1,3]=>0001111=>7
[5,1,8,6,7,4,3,2]=>0111011=>7
[8,4,7,5,2,6,1,3]=>0001111=>7
[5,4,6,8,2,1,7,3]=>1001011=>7
[6,4,5,8,1,2,7,3]=>0000111=>7
[7,4,6,5,2,1,8,3]=>1001111=>7
[8,4,6,5,2,1,7,3]=>1001111=>7
[4,8,7,5,6,1,3,2]=>0100111=>7
[2,7,5,1,8,4,3,6]=>0011011=>7
[5,1,8,7,4,2,3,6]=>0011011=>7
[2,8,6,7,4,3,5,1]=>0011011=>7
[3,6,5,2,4,1,8,7]=>0011101=>7
[5,2,3,6,4,1,8,7]=>0011101=>7
[6,1,4,5,3,2,8,7]=>0101101=>7
[3,8,7,1,4,6,5,2]=>0001111=>7
[5,7,1,2,4,3,8,6]=>0010011=>7
[4,3,7,6,8,2,5,1]=>0011011=>7
[5,3,6,8,1,7,2,4]=>0001011=>7
[3,2,6,8,5,7,1,4]=>0100011=>7
[6,3,7,2,4,8,5,1]=>0001111=>7
[7,4,8,6,5,2,1,3]=>1001111=>7
[7,1,8,2,5,4,3,6]=>0011011=>7
[2,5,3,7,4,1,8,6]=>0011011=>7
[3,6,4,7,5,1,8,2]=>0001111=>7
[8,4,7,6,2,3,1,5]=>0100111=>7
[8,4,7,1,2,5,6,3]=>0000111=>7
[4,2,8,7,3,5,6,1]=>0010111=>7
[8,1,7,4,2,5,6,3]=>0010111=>7
[7,4,3,8,2,5,6,1]=>0010111=>7
[6,4,1,5,8,2,7,3]=>0010111=>7
[2,5,8,7,3,6,1,4]=>0000111=>7
[2,1,5,8,7,4,6,3]=>1000111=>7
[8,3,5,6,7,4,1,2]=>0010011=>7
[7,4,3,2,8,5,6,1]=>0110111=>7
[4,2,7,1,8,5,6,3]=>0010111=>7
[4,1,7,2,8,5,6,3]=>0010111=>7
[2,4,8,7,3,5,6,1]=>0000111=>7
[4,7,8,3,1,5,6,2]=>0100101=>7
[3,4,7,2,8,5,6,1]=>0000111=>7
[3,7,1,4,8,5,6,2]=>0000111=>7
[7,2,3,4,8,5,6,1]=>0000111=>7
[6,1,8,5,2,7,4,3]=>0011111=>7
[2,1,7,4,5,8,6,3]=>1000111=>7
[2,1,8,3,6,7,5,4]=>1001011=>7
[8,2,1,6,4,7,5,3]=>1001111=>7
[7,8,2,6,4,1,5,3]=>0011101=>7
[2,6,3,5,8,7,1,4]=>0000111=>7
[7,6,2,1,5,8,4,3]=>1010111=>7
[4,5,2,7,6,1,8,3]=>0001111=>7
[5,1,6,8,4,7,2,3]=>0001011=>7
[3,6,8,7,5,2,1,4]=>1001011=>7
[7,4,8,6,5,2,3,1]=>0101111=>7
[8,1,6,4,7,3,2,5]=>0100111=>7
[7,6,4,1,2,3,8,5]=>0010111=>7
[2,6,4,8,5,3,7,1]=>0001111=>7
[7,3,5,8,4,2,1,6]=>1010011=>7
[3,2,5,8,4,1,7,6]=>0110011=>7
[8,4,7,1,5,2,3,6]=>0001011=>7
[4,8,7,5,6,1,2,3]=>0000111=>7
[6,1,4,8,7,3,5,2]=>0001111=>7
[7,2,8,4,3,5,6,1]=>0010111=>7
[4,7,8,1,3,5,6,2]=>0000101=>7
[8,7,3,4,1,5,6,2]=>0010111=>7
[4,8,2,7,3,5,6,1]=>0000111=>7
[3,1,8,7,2,5,6,4]=>0100111=>7
[3,8,1,7,2,5,6,4]=>0000111=>7
[8,2,3,7,1,5,6,4]=>0000111=>7
[6,4,8,7,1,3,2,5]=>0100111=>7
[2,8,4,6,7,3,1,5]=>0100011=>7
[4,3,8,2,7,6,1,5]=>0010111=>7
[6,8,4,2,1,3,7,5]=>1010011=>7
[7,8,2,4,3,5,6,1]=>0010101=>7
[2,8,3,7,1,5,6,4]=>0000111=>7
[8,1,2,7,3,5,6,4]=>0000111=>7
[6,4,1,3,2,8,5,7]=>0110101=>7
[5,3,8,6,2,1,4,7]=>1001101=>7
[4,6,5,2,8,3,1,7]=>0101101=>7
[4,3,7,5,1,8,2,6]=>0011011=>7
[6,8,5,2,7,4,3,1]=>0111011=>7
[7,2,5,4,3,8,1,6]=>0011011=>7
[3,6,8,1,4,5,2,7]=>0001001=>7
[6,8,1,2,4,5,3,7]=>0001001=>7
[8,1,6,2,4,5,3,7]=>0001101=>7
[3,8,6,1,2,5,4,7]=>0001101=>7
[5,8,1,6,2,3,4,7]=>0000101=>7
[4,1,6,5,8,2,3,7]=>0010101=>7
[4,3,8,6,2,5,1,7]=>0011101=>7
[8,3,6,1,4,5,2,7]=>0001101=>7
[2,3,6,8,4,5,1,7]=>0001001=>7
[2,7,5,4,3,8,1,6]=>0011011=>7
[6,3,8,7,4,2,5,1]=>0011111=>7
[5,8,4,3,7,6,1,2]=>0010111=>7
[8,7,4,3,1,6,2,5]=>0110111=>7
[1,7,4,3,8,6,2,5]=>0010111=>7
[7,1,5,3,4,8,2,6]=>0001011=>7
[2,8,6,1,7,4,5,3]=>0001111=>7
[4,8,6,5,7,2,1,3]=>1000111=>7
[4,7,6,8,2,1,5,3]=>1001011=>7
[6,1,8,7,4,3,5,2]=>0011111=>7
[8,5,4,3,1,6,7,2]=>0111011=>7
[1,5,8,6,3,4,7,2]=>0000111=>7
[2,5,8,6,3,4,7,1]=>0000111=>7
[4,1,3,8,5,6,7,2]=>0010011=>7
[6,5,8,4,3,1,7,2]=>0110111=>7
[4,6,5,2,8,1,7,3]=>0001111=>7
[7,2,8,1,3,6,4,5]=>0000111=>7
[1,8,5,2,3,6,7,4]=>0001011=>7
[1,8,3,2,5,6,7,4]=>0100011=>7
[2,8,3,1,5,6,7,4]=>0100011=>7
[4,8,3,2,5,6,7,1]=>0100011=>7
[8,2,3,1,5,6,7,4]=>0100011=>7
[2,1,8,3,5,6,7,4]=>1000011=>7
[1,4,8,2,3,6,7,5]=>0000011=>7
[3,1,2,7,8,6,4,5]=>0100101=>7
[7,5,1,8,2,4,3,6]=>0011011=>7
[3,5,8,1,2,4,7,6]=>0000011=>7
[4,5,8,1,2,3,7,6]=>0000011=>7
[4,2,7,1,8,6,3,5]=>0010111=>7
[3,8,4,1,2,6,7,5]=>0010011=>7
[5,4,8,2,3,6,7,1]=>0001011=>7
[5,8,3,6,7,4,1,2]=>0010011=>7
[2,3,1,6,8,4,7,5]=>0100011=>7
[2,4,3,7,1,8,5,6]=>0010011=>7
[1,4,7,3,2,8,5,6]=>0100011=>7
[2,7,1,4,3,8,5,6]=>0010011=>7
[2,4,1,8,6,3,7,5]=>0010111=>7
[8,4,1,3,6,2,7,5]=>0010111=>7
[6,8,5,1,7,2,3,4]=>0001011=>7
[7,3,6,5,8,2,1,4]=>1000111=>7
[7,6,3,5,8,2,1,4]=>1000111=>7
[4,5,8,7,3,6,1,2]=>0000111=>7
[3,5,2,8,6,1,7,4]=>0001111=>7
[8,2,5,6,1,4,7,3]=>0000111=>7
[8,6,5,4,1,2,7,3]=>0011111=>7
[2,6,1,8,3,7,5,4]=>0001111=>7
[4,7,1,6,2,8,5,3]=>0001111=>7
[6,1,5,3,8,7,2,4]=>0001111=>7
[2,8,6,3,7,1,5,4]=>0001111=>7
[7,6,1,5,8,2,3,4]=>0000111=>7
[3,6,8,5,1,2,7,4]=>0001011=>7
[6,5,2,4,8,1,7,3]=>0001111=>7
[5,1,4,8,2,6,7,3]=>0001011=>7
[4,8,2,5,1,6,7,3]=>0001011=>7
[3,4,8,5,2,6,7,1]=>0001011=>7
[4,2,1,8,5,6,7,3]=>1010011=>7
[1,5,4,8,2,6,7,3]=>0001011=>7
[7,2,1,5,8,6,3,4]=>1000111=>7
[2,8,4,5,1,6,7,3]=>0001011=>7
[5,4,8,3,7,6,1,2]=>0001111=>7
[3,1,5,8,6,2,7,4]=>0100111=>7
[6,3,4,8,5,1,7,2]=>0001111=>7
[5,3,4,8,1,6,7,2]=>0001011=>7
[7,6,1,2,8,3,5,4]=>0001111=>7
[7,5,8,4,1,2,6,3]=>0010111=>7
[7,5,8,4,6,1,3,2]=>0100111=>7
[6,5,4,8,7,1,3,2]=>0101111=>7
[6,5,4,8,1,2,7,3]=>0001111=>7
[7,5,1,6,2,3,8,4]=>0001111=>7
[7,5,1,6,8,2,4,3]=>0011011=>7
[6,5,4,1,8,2,7,3]=>0011111=>7
[6,5,4,7,1,2,8,3]=>0001111=>7
[6,5,4,7,8,1,3,2]=>0101101=>7
[6,5,3,7,1,4,2,8]=>0011110=>7
[6,5,3,1,8,4,2,7]=>0111101=>7
[7,5,1,4,8,3,2,6]=>0101011=>7
[8,1,6,4,7,3,5,2]=>0001111=>7
[7,5,1,4,8,3,6,2]=>0001111=>7
[6,5,3,7,1,4,8,2]=>0001111=>7
[6,4,3,1,5,8,7,2]=>0110111=>7
[7,4,1,5,3,8,6,2]=>0011111=>7
[8,1,5,4,3,7,6,2]=>0011111=>7
[8,1,5,4,3,7,2,6]=>0011011=>7
[7,4,1,5,3,8,2,6]=>0011011=>7
[7,4,1,5,3,2,6,8]=>0111010=>7
[8,1,5,4,3,2,6,7]=>0111001=>7
[8,1,6,4,2,5,3,7]=>0011101=>7
[6,5,3,1,2,7,4,8]=>0101110=>7
[6,5,3,8,1,4,2,7]=>0011101=>7
[7,6,8,1,4,3,2,5]=>0110011=>7
[8,1,7,2,5,4,3,6]=>0011011=>7
[8,1,7,2,5,4,6,3]=>0001111=>7
[7,6,1,2,5,4,8,3]=>0001111=>7
[6,5,3,8,1,4,7,2]=>0001111=>7
[6,5,3,1,2,7,8,4]=>0101101=>7
[7,5,1,4,2,6,8,3]=>0011011=>7
[8,1,6,4,2,5,7,3]=>0010111=>7
[7,4,1,5,3,2,8,6]=>0111011=>7
[6,4,3,1,5,2,8,7]=>0111101=>7
[6,4,3,1,5,7,2,8]=>0110110=>7
[7,4,1,5,3,6,2,8]=>0011110=>7
[8,1,5,4,3,6,2,7]=>0011101=>7
[8,1,5,4,3,6,7,2]=>0011011=>7
[7,4,1,5,3,6,8,2]=>0011011=>7
[6,4,3,1,5,7,8,2]=>0110101=>7
[6,7,3,8,4,5,1,2]=>0001011=>7
[6,7,4,5,1,8,2,3]=>0001011=>7
[4,7,5,6,2,3,1,8]=>0100110=>7
[4,7,5,6,1,8,2,3]=>0000111=>7
[4,7,5,6,3,8,1,2]=>0000111=>7
[3,7,5,8,4,6,1,2]=>0000111=>7
[4,5,3,8,6,7,1,2]=>0001011=>7
[4,8,3,6,5,7,1,2]=>0000111=>7
[5,6,4,7,1,8,2,3]=>0000111=>7
[5,6,1,7,3,8,2,4]=>0000111=>7
[5,6,1,8,2,7,3,4]=>0000111=>7
[5,6,1,8,4,7,2,3]=>0000111=>7
[4,8,1,6,5,7,2,3]=>0000111=>7
[4,5,1,8,6,7,2,3]=>0001011=>7
[7,8,4,5,1,6,2,3]=>0001101=>7
[4,8,2,3,1,6,5,7]=>0100101=>7
[5,6,2,8,1,4,3,7]=>0010101=>7
[5,6,3,4,1,8,2,7]=>0010101=>7
[3,6,4,5,2,7,1,8]=>0001110=>7
[3,6,4,5,1,8,2,7]=>0001101=>7
[2,6,4,8,1,5,3,7]=>0001101=>7
[2,8,3,6,1,5,4,7]=>0001101=>7
[2,8,3,4,1,6,5,7]=>0010101=>7
[7,8,2,5,3,4,1,6]=>0011001=>7
[7,8,1,5,3,6,2,4]=>0001101=>7
[1,5,3,8,6,7,2,4]=>0001011=>7
[1,8,3,6,2,7,4,5]=>0000111=>7
[1,6,4,8,2,7,3,5]=>0000111=>7
[2,6,4,7,3,5,1,8]=>0001110=>7
[2,7,3,6,4,5,1,8]=>0001110=>7
[1,7,3,6,4,8,2,5]=>0000111=>7
[1,7,2,8,4,6,3,5]=>0000111=>7
[1,7,5,8,4,6,2,3]=>0000111=>7
[1,7,5,8,2,6,3,4]=>0000111=>7
[1,7,5,6,3,8,2,4]=>0000111=>7
[2,7,5,6,3,4,1,8]=>0010110=>7
[6,7,2,5,3,4,1,8]=>0011010=>7
[6,7,1,5,3,8,2,4]=>0001011=>7
[6,7,5,8,1,4,2,3]=>0010011=>7
[5,8,6,7,2,3,1,4]=>0100011=>7
[6,7,2,3,1,8,4,5]=>0100011=>7
[6,7,2,8,1,4,3,5]=>0010011=>7
[3,4,2,7,5,6,1,8]=>0010110=>7
[3,4,1,7,5,8,2,6]=>0010011=>7
[2,7,5,8,1,4,3,6]=>0010011=>7
[2,3,1,7,5,8,4,6]=>0100011=>7
[2,3,1,8,4,7,5,6]=>0100011=>7
[7,8,2,3,1,6,4,5]=>0100101=>7
[7,8,2,6,1,4,3,5]=>0010101=>7
[2,8,6,7,1,4,3,5]=>0010011=>7
[2,8,1,4,3,7,5,6]=>0010011=>7
[3,7,2,5,4,6,1,8]=>0001110=>7
[4,5,2,7,3,6,1,8]=>0001110=>7
[4,5,1,8,2,7,3,6]=>0001011=>7
[3,4,1,8,2,7,5,6]=>0010011=>7
[3,4,1,8,6,7,2,5]=>0010011=>7
[3,4,2,5,1,8,6,7]=>0011001=>7
[3,4,2,8,1,6,5,7]=>0010101=>7
[3,8,2,5,1,6,4,7]=>0001101=>7
[4,5,2,8,1,6,3,7]=>0001101=>7
[4,5,3,6,1,8,2,7]=>0001101=>7
[7,1,5,8,4,6,2,3]=>0000111=>7
[8,6,7,1,4,2,5,3]=>0011011=>7
[8,6,3,7,5,1,2,4]=>0001111=>7
[8,6,1,7,3,2,5,4]=>0101111=>7
[7,6,1,8,3,5,2,4]=>0001111=>7
[7,6,1,3,8,5,2,4]=>0001111=>7
[7,6,8,2,4,5,1,3]=>0001011=>7
[7,6,2,8,3,5,1,4]=>0001111=>7
[7,6,2,3,8,5,1,4]=>0001111=>7
[8,7,1,5,2,6,3,4]=>0001111=>7
[8,7,1,5,2,3,6,4]=>0001111=>7
[8,5,2,3,1,7,6,4]=>0101111=>7
[8,6,2,3,7,1,5,4]=>0001111=>7
[8,6,2,7,3,1,5,4]=>0101111=>7
[8,6,7,2,4,1,5,3]=>0011011=>7
[6,8,7,3,4,1,5,2]=>0011011=>7
[8,7,2,5,1,6,3,4]=>0001111=>7
[8,7,2,1,4,6,3,5]=>1000111=>7
[8,4,2,1,7,6,3,5]=>1010111=>7
[8,5,2,7,1,6,3,4]=>0001111=>7
[8,5,7,2,1,4,3,6]=>1010011=>7
[5,8,7,3,1,4,2,6]=>0110011=>7
[5,8,7,3,1,4,6,2]=>0100111=>7
[8,5,7,2,1,4,6,3]=>1000111=>7
[8,5,2,7,1,3,6,4]=>0001111=>7
[8,4,2,1,3,7,6,5]=>1010111=>7
[8,7,4,1,2,3,6,5]=>0010111=>7
[8,7,4,1,2,6,3,5]=>0010111=>7
[8,4,3,1,7,2,6,5]=>0110111=>7
[8,4,3,1,2,7,6,5]=>0110111=>7
[8,6,1,3,7,2,5,4]=>0001111=>7
[8,5,1,3,2,7,6,4]=>0101111=>7
[8,5,7,4,1,6,2,3]=>0010111=>7
[8,5,7,4,1,2,6,3]=>0010111=>7
[8,1,5,4,2,7,6,3]=>0011111=>7
[8,1,6,4,7,2,5,3]=>0001111=>7
[6,1,5,8,4,2,7,3]=>0010111=>7
[5,8,3,6,4,1,2,7]=>0010101=>7
[5,2,8,6,4,1,3,7]=>0011101=>7
[8,4,7,5,1,6,2,3]=>0001111=>7
[8,4,7,5,1,2,6,3]=>0001111=>7
[8,4,7,5,1,2,3,6]=>0001011=>7
[8,7,3,5,1,2,6,4]=>0001111=>7
[8,3,2,6,5,1,4,7]=>0101101=>7
[4,8,6,3,5,1,2,7]=>0001101=>7
[4,8,7,3,1,5,2,6]=>0101011=>7
[8,4,7,2,1,5,3,6]=>1001011=>7
[8,3,2,7,1,5,4,6]=>0101011=>7
[8,3,2,1,7,6,4,5]=>1100111=>7
[8,7,3,1,4,2,6,5]=>0110111=>7
[8,7,3,1,6,2,4,5]=>0100111=>7
[8,7,3,1,2,6,4,5]=>0100111=>7
[8,7,3,1,2,4,6,5]=>0100111=>7
[8,3,2,1,4,7,6,5]=>1100111=>7
[8,3,2,1,7,4,6,5]=>1100111=>7
[8,3,2,7,1,5,6,4]=>0100111=>7
[8,4,7,2,1,5,6,3]=>1000111=>7
[3,8,7,4,1,2,5,6]=>0010011=>7
[8,7,2,1,6,3,4,5]=>1000111=>7
[8,7,2,1,3,6,4,5]=>1000111=>7
[8,7,2,1,3,4,6,5]=>1000111=>7
[3,6,5,4,1,2,8,7]=>0011101=>7
[3,8,5,6,7,4,1,2]=>0010011=>7
[4,7,5,8,6,2,1,3]=>1000111=>7
[2,5,7,8,6,3,4,1]=>0010101=>7
[4,8,5,7,6,3,1,2]=>0100111=>7
[4,6,3,2,1,5,8,7]=>1100101=>7
[6,2,1,5,3,4,8,7]=>1001101=>7
[5,8,1,3,7,6,4,2]=>0010111=>7
[4,7,2,3,6,1,8,5]=>0000111=>7
[3,7,4,2,8,1,5,6]=>0010011=>7
[4,2,6,8,5,7,3,1]=>0110011=>7
[6,4,2,7,3,8,5,1]=>0011111=>7
[8,1,6,7,5,3,4,2]=>0011011=>7
[2,1,5,8,7,6,3,4]=>1000111=>7
[2,1,4,7,6,3,8,5]=>1000111=>7
[6,4,7,8,5,3,2,1]=>1101101=>7
[4,1,3,7,6,2,8,5]=>0010111=>7
[8,5,1,6,3,2,7,4]=>0101111=>7
[6,3,7,1,5,2,8,4]=>0001111=>7
[3,2,6,8,4,7,5,1]=>0101011=>7
[8,4,6,1,3,2,5,7]=>0100101=>7
[4,2,8,6,7,3,1,5]=>0110011=>7
[7,4,3,8,2,1,5,6]=>1010011=>7
[4,7,5,8,1,6,3,2]=>0100111=>7
[6,4,3,2,7,8,1,5]=>0110101=>7
[4,2,5,1,6,7,8,3]=>0011001=>7
[2,4,8,5,7,1,3,6]=>0000011=>7
[3,7,1,4,6,8,5,2]=>0001011=>7
[7,8,2,5,6,1,4,3]=>0010101=>7
[2,4,3,8,7,5,6,1]=>0010111=>7
[2,6,7,3,5,1,8,4]=>0001011=>7
[7,6,8,4,2,5,3,1]=>0111011=>7
[8,5,7,1,6,3,2,4]=>0100111=>7
[6,5,7,2,8,4,3,1]=>0110111=>7
[3,4,8,6,5,2,1,7]=>1001101=>7
[2,7,6,1,4,5,8,3]=>0000111=>7
[6,5,8,2,1,7,3,4]=>1000111=>7
[7,4,3,5,1,6,8,2]=>0011011=>7
[4,1,6,3,5,8,7,2]=>0010111=>7
[6,2,5,8,4,3,7,1]=>0010111=>7
[8,6,7,1,5,4,3,2]=>0111011=>7
[2,1,6,5,8,4,7,3]=>1000111=>7
[2,1,6,8,5,4,3,7]=>1011001=>7
[4,1,8,5,6,2,3,7]=>0010101=>7
[2,6,4,8,7,3,5,1]=>0001111=>7
[6,2,8,4,3,5,1,7]=>0011101=>7
[4,8,2,7,6,1,3,5]=>0000111=>7
[3,1,8,2,7,5,4,6]=>0101011=>7
[3,8,1,2,6,7,4,5]=>0000011=>7
[5,8,4,3,2,7,1,6]=>0110011=>7
[7,4,8,6,3,2,5,1]=>0101111=>7
[5,8,4,7,2,1,3,6]=>1000011=>7
[2,1,8,4,3,7,5,6]=>1010011=>7
[6,3,8,2,4,5,7,1]=>0000111=>7
[5,8,4,2,3,6,1,7]=>0010101=>7
[5,8,2,4,3,1,6,7]=>0110001=>7
[2,8,3,1,6,4,5,7]=>0100101=>7
[8,2,1,3,4,7,5,6]=>1000011=>7
[1,4,8,2,6,3,5,7]=>0000101=>7
[1,2,7,3,5,4,8,6]=>0001011=>7
[1,2,3,8,4,5,7,6]=>0000011=>7
[1,2,8,3,4,5,7,6]=>0000011=>7
[1,3,8,2,6,4,5,7]=>0000101=>7
[1,5,7,2,3,6,4,8]=>0000110=>7
[1,7,2,3,5,4,8,6]=>0001011=>7
[1,3,8,2,4,5,7,6]=>0000011=>7
[1,2,3,8,4,6,7,5]=>0000011=>7
[1,8,2,3,5,4,6,7]=>0001001=>7
[1,7,8,2,3,6,4,5]=>0000101=>7
[1,6,7,8,2,3,5,4]=>0001001=>7
[1,7,8,2,5,3,6,4]=>0001101=>7
[1,7,8,2,4,5,3,6]=>0001001=>7
[1,2,8,3,6,4,5,7]=>0000101=>7
[1,8,2,3,6,4,5,7]=>0000101=>7
[1,2,8,3,5,4,6,7]=>0001001=>7
[1,2,7,8,3,6,4,5]=>0000101=>7
[1,5,2,7,8,3,6,4]=>0001101=>7
[1,3,2,8,4,6,7,5]=>0100011=>7
[1,8,2,3,4,6,7,5]=>0000011=>7
[1,7,8,2,4,3,6,5]=>0010101=>7
[7,6,3,1,5,2,4,8]=>0101110=>7
[6,7,3,1,5,2,8,4]=>0101011=>7
[6,8,3,1,5,2,7,4]=>0101011=>7
[6,8,4,5,1,2,7,3]=>0001011=>7
[6,7,4,5,1,2,8,3]=>0001011=>7
[7,2,1,6,5,3,4,8]=>1001110=>7
[7,3,6,1,5,2,4,8]=>0001110=>7
[7,4,6,5,1,2,3,8]=>0001110=>7
[6,7,5,4,1,2,8,3]=>0011011=>7
[5,8,6,4,1,7,2,3]=>0010111=>7
[5,7,6,4,1,8,2,3]=>0010111=>7
[5,6,7,4,1,8,2,3]=>0010011=>7
[6,5,7,4,1,2,8,3]=>0010111=>7
[6,4,7,5,1,2,8,3]=>0001111=>7
[6,2,1,7,5,3,8,4]=>1001111=>7
[6,3,8,1,5,2,7,4]=>0001111=>7
[6,4,8,5,1,2,7,3]=>0001111=>7
[6,5,8,4,1,2,7,3]=>0010111=>7
[5,6,8,4,1,7,2,3]=>0010011=>7
[4,6,8,5,7,1,2,3]=>0000011=>7
[4,5,8,6,7,1,2,3]=>0000011=>7
[5,4,8,6,1,7,2,3]=>0001111=>7
[5,3,8,1,6,7,2,4]=>0001011=>7
[5,2,1,8,6,7,3,4]=>1001011=>7
[5,2,1,7,6,8,3,4]=>1001011=>7
[5,4,7,6,1,8,2,3]=>0001111=>7
[4,5,7,6,8,1,2,3]=>0000011=>7
[4,6,7,5,8,1,2,3]=>0000011=>7
[4,8,6,5,7,1,2,3]=>0000111=>7
[4,8,5,6,7,1,2,3]=>0000011=>7
[4,7,5,6,8,1,2,3]=>0000011=>7
[4,6,5,7,8,1,2,3]=>0000101=>7
[5,7,4,6,1,8,2,3]=>0000111=>7
[5,8,4,6,1,7,2,3]=>0000111=>7
[5,8,3,1,6,7,2,4]=>0100011=>7
[5,7,3,1,6,8,2,4]=>0100011=>7
[5,6,3,1,7,8,2,4]=>0100101=>7
[6,2,1,4,3,8,7,5]=>1010111=>7
[5,8,3,1,7,6,2,4]=>0100111=>7
[5,7,4,8,1,6,2,3]=>0000111=>7
[5,2,1,6,8,7,3,4]=>1001011=>7
[5,4,6,8,1,7,2,3]=>0001011=>7
[4,5,6,8,7,1,2,3]=>0000011=>7
[4,7,5,8,6,1,2,3]=>0000111=>7
[4,8,5,7,6,1,2,3]=>0000111=>7
[4,8,6,7,5,1,2,3]=>0001011=>7
[4,7,6,8,5,1,2,3]=>0001011=>7
[4,6,7,8,5,1,2,3]=>0001001=>7
[4,5,7,8,6,1,2,3]=>0000101=>7
[5,4,7,8,1,6,2,3]=>0001101=>7
[5,3,7,1,8,6,2,4]=>0001111=>7
[5,2,1,7,8,6,3,4]=>1001101=>7
[5,3,8,1,7,6,2,4]=>0001111=>7
[5,4,8,7,1,6,2,3]=>0001111=>7
[4,6,8,7,5,1,2,3]=>0001011=>7
[4,7,8,6,5,1,2,3]=>0001101=>7
[4,8,7,6,5,1,2,3]=>0001111=>7
[2,5,4,7,3,6,1,8]=>0001110=>7
[2,4,6,3,7,5,1,8]=>0001110=>7
[4,2,7,3,6,5,1,8]=>0011110=>7
[4,2,6,3,1,5,8,7]=>0110101=>7
[2,5,3,1,6,4,8,7]=>0101101=>7
[2,5,3,7,6,4,1,8]=>0011110=>7
[2,6,5,3,7,4,1,8]=>0011110=>7
[4,2,7,6,3,5,1,8]=>0011110=>7
[2,7,5,3,6,4,1,8]=>0011110=>7
[2,6,3,7,5,4,1,8]=>0011110=>7
[1,7,5,2,3,8,4,6]=>0001011=>7
[2,1,3,7,5,4,8,6]=>1001011=>7
[2,3,1,8,6,5,4,7]=>0101101=>7
[2,5,3,1,8,6,4,7]=>0101101=>7
[4,2,8,3,1,6,5,7]=>0110101=>7
[8,3,2,6,4,1,5,7]=>0110101=>7
[3,6,8,2,1,4,5,7]=>1000001=>7
[1,5,2,8,3,4,7,6]=>0001011=>7
[1,2,6,3,8,7,4,5]=>0000111=>7
[1,2,8,3,6,4,7,5]=>0000111=>7
[1,2,7,6,3,4,8,5]=>0000111=>7
[2,1,3,8,7,5,4,6]=>1001011=>7
[1,2,3,8,6,4,7,5]=>0000111=>7
[1,2,3,7,4,8,6,5]=>0000111=>7
[1,2,7,6,3,8,4,5]=>0000111=>7
[1,2,3,6,4,8,7,5]=>0000111=>7
[1,2,3,7,6,4,8,5]=>0000111=>7
[2,6,3,1,8,5,4,7]=>0101101=>7
[2,1,3,8,5,4,7,6]=>1001011=>7
[7,1,8,4,2,3,5,6]=>0010011=>7
[2,1,8,4,3,5,7,6]=>1010011=>7
[4,2,6,3,1,8,5,7]=>0110101=>7
[5,4,2,8,3,1,6,7]=>0111001=>7
[3,5,8,2,4,1,6,7]=>0010001=>7
[2,5,4,8,3,1,6,7]=>0101001=>7
[4,2,1,8,3,5,7,6]=>1010011=>7
[1,8,7,4,2,3,5,6]=>0010011=>7
[1,5,2,8,7,3,4,6]=>0001011=>7
[1,2,7,3,6,4,8,5]=>0000111=>7
[1,2,8,6,3,7,4,5]=>0000111=>7
[1,2,7,3,8,6,4,5]=>0000111=>7
[1,2,3,8,4,7,6,5]=>0000111=>7
[1,2,7,3,4,8,6,5]=>0000111=>7
[1,2,6,3,8,4,7,5]=>0000111=>7
[1,5,2,3,8,7,4,6]=>0001011=>7
[4,2,1,8,3,7,5,6]=>1010011=>7
[8,3,2,1,7,4,5,6]=>1100011=>7
[1,8,4,2,7,3,5,6]=>0010011=>7
[1,2,8,6,3,4,7,5]=>0000111=>7
[1,2,7,3,8,4,6,5]=>0000111=>7
[1,2,3,8,7,4,6,5]=>0000111=>7
[1,2,3,8,7,6,4,5]=>0000111=>7
[2,5,3,8,1,6,4,7]=>0001101=>7
[2,6,4,7,1,5,3,8]=>0001110=>7
[2,6,5,7,1,4,3,8]=>0010110=>7
[3,8,5,7,1,2,6,4]=>0000111=>7
[3,8,5,7,2,6,4,1]=>0010111=>7
[3,4,8,6,2,5,7,1]=>0000111=>7
[3,4,8,6,1,2,5,7]=>0000101=>7
[2,5,7,1,4,8,6,3]=>0000111=>7
[2,4,8,1,5,7,6,3]=>0000111=>7
[2,4,3,8,1,6,5,7]=>0010101=>7
[2,8,1,7,5,6,4,3]=>0010111=>7
[2,3,8,1,6,5,7,4]=>0000111=>7
[2,4,8,1,3,5,7,6]=>0000011=>7
[3,5,7,6,1,2,4,8]=>0000110=>7
[3,5,7,6,2,4,8,1]=>0000111=>7
[4,8,6,7,2,3,5,1]=>0001011=>7
[4,8,6,7,1,2,3,5]=>0000011=>7
[4,8,6,7,1,3,5,2]=>0001011=>7
[3,4,8,6,1,5,7,2]=>0000111=>7
[3,8,5,7,1,6,4,2]=>0010111=>7
[3,2,8,5,6,1,7,4]=>0100111=>7
[3,8,5,7,2,1,6,4]=>1000111=>7
[3,4,8,6,2,1,5,7]=>1000101=>7
[3,5,7,6,2,1,4,8]=>1000110=>7
[4,8,6,7,2,1,3,5]=>1000011=>7
[4,8,6,7,3,5,2,1]=>1001011=>7
[5,8,6,7,3,4,2,1]=>1010011=>7
[5,8,6,7,2,1,3,4]=>1000011=>7
[5,8,6,7,2,1,4,3]=>1010011=>7
[4,8,6,7,2,1,5,3]=>1001011=>7
[4,3,1,7,5,2,8,6]=>0111011=>7
[4,3,2,8,5,1,7,6]=>0111011=>7
[4,3,8,5,1,6,7,2]=>0011011=>7
[4,8,6,7,1,5,3,2]=>0101011=>7
[5,8,6,7,1,4,3,2]=>0110011=>7
[5,8,6,7,2,3,4,1]=>0010011=>7
[5,8,6,7,2,4,3,1]=>0110011=>7
[5,8,6,7,1,2,4,3]=>0010011=>7
[4,2,3,8,5,1,6,7]=>0011001=>7
[4,2,8,5,1,7,6,3]=>0011111=>7
[3,4,2,8,5,6,1,7]=>0010101=>7
[3,2,4,8,6,1,5,7]=>0100101=>7
[3,2,5,7,6,1,4,8]=>0100110=>7
[4,8,6,7,1,3,2,5]=>0100011=>7
[4,8,6,7,1,2,5,3]=>0001011=>7
[4,8,6,7,2,5,3,1]=>0101011=>7
[4,3,8,5,2,6,7,1]=>0011011=>7
[4,3,8,5,1,2,6,7]=>0011001=>7
[4,2,6,7,5,1,3,8]=>0011010=>7
[3,8,5,7,1,4,2,6]=>0010011=>7
[3,8,4,7,1,5,2,6]=>0001011=>7
[3,5,2,8,4,6,1,7]=>0001101=>7
[3,5,1,7,4,6,2,8]=>0001110=>7
[3,8,4,7,2,5,1,6]=>0001011=>7
[4,1,3,8,5,2,6,7]=>0011001=>7
[4,1,2,6,7,5,3,8]=>0011010=>7
[4,2,6,7,5,3,8,1]=>0011011=>7
[4,8,6,7,3,2,5,1]=>0101011=>7
[4,8,6,7,3,1,2,5]=>0100011=>7
[3,1,5,7,6,2,4,8]=>0100110=>7
[3,4,1,7,5,6,2,8]=>0010110=>7
[4,1,7,5,2,8,6,3]=>0011111=>7
[4,1,6,7,5,2,3,8]=>0011010=>7
[4,8,6,7,2,3,1,5]=>0100011=>7
[5,8,6,7,3,2,4,1]=>0110011=>7
[5,8,6,7,4,2,3,1]=>0110011=>7
[5,8,6,7,4,1,2,3]=>0010011=>7
[5,8,6,7,4,1,3,2]=>0110011=>7
[5,8,6,7,3,1,4,2]=>0110011=>7
[4,8,6,7,3,1,5,2]=>0101011=>7
[4,1,6,7,5,3,8,2]=>0011011=>7
[4,1,7,5,3,2,8,6]=>0111011=>7
[4,2,8,5,3,1,7,6]=>0111011=>7
[4,2,1,6,7,5,3,8]=>1011010=>7
[4,8,6,7,3,2,1,5]=>1100011=>7
[5,8,6,7,4,2,1,3]=>1010011=>7
[5,8,6,7,4,3,1,2]=>0110011=>7
[7,3,5,8,1,4,2,6]=>0010011=>7
[3,8,7,6,1,4,2,5]=>0010111=>7
[5,1,8,3,6,7,2,4]=>0001011=>7
[1,4,7,8,5,6,2,3]=>0000101=>7
[3,4,7,1,5,8,6,2]=>0000111=>7
[3,6,1,4,7,8,5,2]=>0001101=>7
[1,6,8,4,7,5,2,3]=>0001011=>7
[6,8,1,3,5,7,2,4]=>0000011=>7
[7,6,1,4,3,8,2,5]=>0010111=>7
[3,8,1,6,5,4,2,7]=>0011101=>7
[4,1,3,7,5,8,2,6]=>0010011=>7
[6,1,7,3,8,4,2,5]=>0010111=>7
[7,1,8,6,3,5,2,4]=>0001111=>7
[3,1,7,6,5,8,4,2]=>0110111=>7
[8,2,7,6,5,3,4,1]=>0011111=>7
[8,4,2,6,7,5,3,1]=>0111011=>7
[4,8,1,6,7,5,3,2]=>0101011=>7
[7,4,1,6,8,2,5,3]=>0011011=>7
[1,3,8,6,2,7,5,4]=>0001111=>7
[6,1,3,2,7,8,4,5]=>0100101=>7
[1,8,6,2,5,3,4,7]=>0001101=>7
[4,7,2,6,8,1,5,3]=>0001011=>7
[8,7,3,6,4,5,2,1]=>1001111=>7
[5,7,8,6,2,1,4,3]=>1010101=>7
[2,7,4,1,6,8,3,5]=>0010011=>7
[3,7,2,4,5,1,6,8]=>0001010=>7
[1,8,6,4,5,2,3,7]=>0001101=>7
[2,8,4,6,5,1,3,7]=>0001101=>7
[3,4,1,7,5,2,6,8]=>0011010=>7
[7,5,8,6,1,2,4,3]=>0010111=>7
[5,6,8,7,3,1,4,2]=>0110011=>7
[2,5,4,3,6,8,1,7]=>0011001=>7
[3,8,5,4,6,2,1,7]=>1001101=>7
[4,8,2,1,3,7,5,6]=>1000011=>7
[6,4,1,2,7,5,8,3]=>0010111=>7
[4,1,8,3,6,7,5,2]=>0011011=>7
[8,3,7,4,5,2,6,1]=>0001111=>7
[4,3,7,8,5,1,6,2]=>0011101=>7
[5,4,8,2,7,6,1,3]=>0001111=>7
[1,2,7,3,6,5,8,4]=>0000111=>7
[2,8,7,6,3,4,1,5]=>0010111=>7
[5,8,2,6,3,4,1,7]=>0010101=>7
[4,1,7,5,8,6,2,3]=>0010111=>7
[5,1,7,8,4,3,6,2]=>0011101=>7
[8,2,7,5,4,3,6,1]=>0011111=>7
[6,3,8,1,4,7,5,2]=>0001111=>7
[3,8,4,5,6,1,2,7]=>0000101=>7
[1,4,3,5,7,8,2,6]=>0010001=>7
[6,5,8,7,1,3,4,2]=>0010111=>7
[3,6,7,2,4,8,1,5]=>0000011=>7
[1,5,2,7,4,3,8,6]=>0011011=>7
[2,8,5,6,4,3,1,7]=>0110101=>7
[1,8,6,5,4,3,2,7]=>0111101=>7
[6,1,5,2,8,4,7,3]=>0001111=>7
[4,6,1,8,5,7,2,3]=>0000111=>7
[4,7,1,2,8,5,6,3]=>0000111=>7
[1,4,7,2,8,5,6,3]=>0000111=>7
[1,7,3,5,8,6,2,4]=>0000111=>7
[7,3,5,8,6,1,2,4]=>0000111=>7
[3,6,8,1,5,7,2,4]=>0000011=>7
[3,4,6,5,8,1,7,2]=>0000111=>7
[6,8,1,5,7,2,3,4]=>0000011=>7
[7,1,2,5,8,6,3,4]=>0000111=>7
[1,7,2,5,8,6,3,4]=>0000111=>7
[1,7,6,8,2,3,5,4]=>0001011=>7
[7,6,8,1,2,3,5,4]=>0001011=>7
[2,7,1,5,8,6,3,4]=>0000111=>7
[2,4,7,1,8,5,6,3]=>0000111=>7
[4,7,5,8,3,1,6,2]=>0100111=>7
[4,7,2,1,8,5,6,3]=>1000111=>7
[7,6,8,2,1,3,5,4]=>1001011=>7
[1,2,7,6,8,3,5,4]=>0001011=>7
[3,7,6,8,2,1,5,4]=>1001011=>7
[7,4,2,1,6,8,5,3]=>1011011=>7
[6,7,4,1,8,5,3,2]=>0111011=>7
[6,7,4,3,1,8,5,2]=>0111011=>7
[2,7,4,1,6,8,5,3]=>0011011=>7
[2,3,7,6,8,1,5,4]=>0001011=>7
[7,4,2,6,8,5,1,3]=>0011011=>7
[7,3,2,5,8,6,1,4]=>0100111=>7
[3,1,7,6,8,2,5,4]=>0101011=>7
[3,7,6,8,1,2,5,4]=>0001011=>7
[1,3,7,6,8,2,5,4]=>0001011=>7
[1,7,4,2,6,8,5,3]=>0011011=>7
[7,4,1,2,6,8,5,3]=>0011011=>7
[7,1,4,2,8,5,6,3]=>0010111=>7
[7,1,8,2,5,4,6,3]=>0001111=>7
[7,3,8,4,6,1,5,2]=>0001111=>7
[7,2,8,1,6,4,5,3]=>0001111=>7
[7,1,6,8,5,4,2,3]=>0011011=>7
[7,1,2,6,8,5,4,3]=>0011011=>7
[1,7,2,6,8,5,4,3]=>0011011=>7
[1,7,6,8,3,2,5,4]=>0101011=>7
[7,6,8,3,1,2,5,4]=>0101011=>7
[7,1,5,8,6,3,2,4]=>0100111=>7
[7,2,5,8,6,3,1,4]=>0100111=>7
[3,6,7,1,8,5,4,2]=>0011011=>7
[7,2,6,8,5,4,1,3]=>0011011=>7
[7,6,8,2,3,1,5,4]=>0101011=>7
[2,7,6,8,3,1,5,4]=>0101011=>7
[2,7,1,6,8,5,4,3]=>0011011=>7
[6,7,3,1,8,5,4,2]=>0111011=>7
[6,7,1,8,5,4,3,2]=>0111011=>7
[7,2,1,6,8,5,4,3]=>1011011=>7
[7,6,8,3,2,1,5,4]=>1101011=>7
[4,7,8,5,6,1,3,2]=>0100101=>7
[4,6,5,8,7,1,3,2]=>0100111=>7
[5,6,4,8,1,2,7,3]=>0000111=>7
[8,1,5,6,7,2,4,3]=>0010011=>7
[6,4,5,1,8,2,7,3]=>0001111=>7
[5,4,6,7,1,2,8,3]=>0001011=>7
[4,3,6,7,2,1,5,8]=>1010010=>7
[5,3,6,7,1,4,2,8]=>0011010=>7
[8,1,4,6,7,3,2,5]=>0100011=>7
[8,1,3,6,7,4,5,2]=>0001011=>7
[7,2,1,6,8,4,5,3]=>1001011=>7
[5,2,6,7,1,4,8,3]=>0001011=>7
[4,2,6,7,3,1,8,5]=>0110011=>7
[6,2,4,1,5,8,7,3]=>0010111=>7
[7,2,1,5,4,8,6,3]=>1001111=>7
[8,1,4,5,3,7,2,6]=>0001011=>7
[7,3,1,5,4,8,2,6]=>0101011=>7
[6,3,4,1,5,8,2,7]=>0010101=>7
[5,3,4,2,1,8,6,7]=>1011001=>7
[4,3,5,2,7,1,6,8]=>0011010=>7
[5,6,3,8,1,4,2,7]=>0010101=>7
[8,1,7,2,4,5,6,3]=>0000111=>7
[7,6,1,2,4,5,8,3]=>0000111=>7
[4,7,8,2,3,1,6,5]=>0100101=>7
[5,6,2,8,1,4,7,3]=>0000111=>7
[6,5,2,1,3,7,8,4]=>1001101=>7
[7,5,1,3,2,6,8,4]=>0101011=>7
[8,1,6,3,2,5,7,4]=>0100111=>7
[7,4,1,3,5,2,8,6]=>0011011=>7
[5,4,2,3,1,6,8,7]=>0111001=>7
[7,3,1,4,5,6,2,8]=>0100110=>7
[8,1,4,3,5,6,2,7]=>0010101=>7
[6,2,3,1,5,7,8,4]=>0100101=>7
[7,8,4,2,1,6,5,3]=>1011101=>7
[7,8,4,2,1,5,6,3]=>1010101=>7
[6,2,3,4,8,7,1,5]=>0000111=>7
[6,2,3,4,7,8,1,5]=>0000101=>7
[7,8,3,4,6,2,1,5]=>1000101=>7
[7,8,3,6,4,2,1,5]=>1010101=>7
[7,8,3,5,6,2,1,4]=>1000101=>7
[6,2,3,8,7,5,1,4]=>0001111=>7
[6,2,3,7,8,5,1,4]=>0001101=>7
[5,2,6,3,8,1,7,4]=>0001111=>7
[6,3,2,5,8,7,1,4]=>0100111=>7
[6,3,2,8,4,7,1,5]=>0100111=>7
[6,4,3,8,7,5,1,2]=>0011111=>7
[6,4,3,7,8,5,1,2]=>0011101=>7
[6,2,4,1,7,3,5,8]=>0010110=>7
[6,3,2,7,4,8,1,5]=>0100111=>7
[6,3,2,5,7,8,1,4]=>0100101=>7
[5,7,2,3,6,1,8,4]=>0000111=>7
[5,8,2,3,6,1,7,4]=>0000111=>7
[4,7,5,8,3,2,1,6]=>1100011=>7
[4,5,6,8,3,2,1,7]=>1100001=>7
[4,6,8,5,3,2,1,7]=>1101001=>7
[5,6,1,4,2,3,7,8]=>0010100=>7
[5,6,8,4,3,7,1,2]=>0010011=>7
[5,6,1,4,2,3,8,7]=>0010101=>7
[5,2,8,3,4,1,7,6]=>0011011=>7
[4,5,8,6,3,2,1,7]=>1100101=>7
[4,6,5,8,3,2,1,7]=>1100101=>7
[4,7,5,6,3,2,1,8]=>1100110=>7
[6,2,3,4,5,8,1,7]=>0000101=>7
[5,1,4,3,6,2,8,7]=>0011101=>7
[5,1,4,3,7,2,8,6]=>0011011=>7
[5,1,4,3,8,2,7,6]=>0011011=>7
[5,6,2,4,1,7,8,3]=>0010101=>7
[5,6,2,4,1,8,7,3]=>0010111=>7
[5,7,2,4,1,8,6,3]=>0010111=>7
[6,1,4,2,8,7,5,3]=>0011111=>7
[6,1,4,2,7,8,5,3]=>0011101=>7
[5,8,2,4,1,7,6,3]=>0010111=>7
[5,2,7,4,1,6,8,3]=>0011011=>7
[5,4,1,3,7,2,6,8]=>0011010=>7
[5,1,4,3,6,2,7,8]=>0011100=>7
[5,8,6,4,3,7,1,2]=>0010111=>7
[5,8,1,4,2,3,7,6]=>0010011=>7
[5,1,6,3,4,2,7,8]=>0011100=>7
[4,8,6,5,3,2,1,7]=>1101101=>7
[4,8,5,6,3,2,1,7]=>1100101=>7
[5,4,7,8,3,2,1,6]=>1101001=>7
[5,4,8,7,3,2,1,6]=>1101011=>7
[4,6,8,7,3,2,1,5]=>1100011=>7
[4,6,7,8,3,2,1,5]=>1100001=>7
[4,7,6,8,3,2,1,5]=>1100011=>7
[4,7,8,5,3,2,1,6]=>1101001=>7
[5,7,1,3,4,2,6,8]=>0010010=>7
[5,1,8,4,2,3,6,7]=>0011001=>7
[5,1,7,4,2,3,6,8]=>0011010=>7
[5,8,1,3,4,2,6,7]=>0010001=>7
[4,8,7,5,3,2,1,6]=>1101011=>7
[4,7,8,6,3,2,1,5]=>1100101=>7
[4,8,7,6,3,2,1,5]=>1100111=>7
[4,8,2,6,3,7,5,1]=>0001111=>7
[4,8,2,3,6,7,5,1]=>0001011=>7
[4,8,3,1,6,7,5,2]=>0101011=>7
[4,3,8,1,6,2,5,7]=>0010101=>7
[1,4,8,7,3,5,2,6]=>0001011=>7
[4,3,8,7,2,5,1,6]=>0011011=>7
[5,8,4,3,7,1,6,2]=>0010111=>7
[5,8,1,4,7,2,6,3]=>0000111=>7
[5,8,1,7,4,2,3,6]=>0010011=>7
[6,8,1,2,4,3,5,7]=>0010001=>7
[5,8,7,1,3,4,2,6]=>0010011=>7
[4,8,7,6,3,1,2,5]=>0100111=>7
[5,8,4,7,3,1,2,6]=>0100011=>7
[4,3,8,2,7,5,6,1]=>0010111=>7
[1,4,8,3,7,5,6,2]=>0000111=>7
[1,4,3,8,2,6,5,7]=>0010101=>7
[4,3,2,8,1,6,5,7]=>0110101=>7
[4,1,3,8,2,6,5,7]=>0010101=>7
[4,1,8,3,7,5,6,2]=>0010111=>7
[4,1,8,7,3,5,2,6]=>0011011=>7
[3,7,8,1,5,4,2,6]=>0011001=>7
[7,3,8,1,5,4,6,2]=>0001111=>7
[3,4,8,1,6,2,5,7]=>0000101=>7
[3,4,8,7,2,5,1,6]=>0001011=>7
[3,4,8,2,7,5,6,1]=>0000111=>7
[1,2,4,8,3,6,5,7]=>0000101=>7
[1,2,4,3,8,6,5,7]=>0010101=>7
[3,4,2,1,8,6,5,7]=>1010101=>7
[3,4,1,8,2,6,5,7]=>0010101=>7
[3,6,7,8,4,1,2,5]=>0010001=>7
[4,1,7,8,5,3,2,6]=>0111001=>7
[4,1,2,8,3,6,5,7]=>0010101=>7
[1,4,3,2,8,6,5,7]=>0110101=>7
[4,2,3,1,8,6,5,7]=>0110101=>7
[3,7,6,8,4,2,1,5]=>1010011=>7
[4,7,1,8,5,2,3,6]=>0001011=>7
[2,6,8,7,4,3,1,5]=>0110011=>7
[3,7,8,6,2,4,1,5]=>0010101=>7
[3,7,8,2,6,4,5,1]=>0001101=>7
[4,2,3,8,1,6,5,7]=>0010101=>7
[4,3,1,8,2,6,5,7]=>0110101=>7
[1,4,7,8,5,3,2,6]=>0101001=>7
[4,3,7,8,5,2,1,6]=>1011001=>7
[3,7,2,8,4,6,5,1]=>0001111=>7
[4,2,8,6,3,1,5,7]=>0110101=>7
[2,6,8,4,7,3,1,5]=>0100011=>7
[2,4,8,6,3,1,5,7]=>0100101=>7
[7,3,6,8,4,2,1,5]=>1010011=>7
[7,6,2,8,3,5,4,1]=>0011111=>7
[1,7,3,8,4,6,5,2]=>0001111=>7
[1,3,4,8,2,6,5,7]=>0000101=>7
[3,2,4,8,1,6,5,7]=>0100101=>7
[7,3,8,6,2,4,1,5]=>0010111=>7
[7,3,8,2,6,4,5,1]=>0001111=>7
[2,4,8,3,6,1,5,7]=>0000101=>7
[6,2,8,7,4,3,5,1]=>0011111=>7
[7,4,1,8,5,2,6,3]=>0011111=>7
[7,3,2,8,4,6,5,1]=>0101111=>7
[2,4,3,1,8,6,5,7]=>0110101=>7
[1,3,4,2,8,6,5,7]=>0010101=>7
[1,3,2,4,8,6,5,7]=>0100101=>7
[3,2,1,4,8,6,5,7]=>1100101=>7
[3,1,2,4,8,6,5,7]=>0100101=>7
[3,1,4,2,8,6,5,7]=>0110101=>7
[3,1,4,8,2,6,5,7]=>0100101=>7
[7,3,4,8,5,1,6,2]=>0001111=>7
[3,7,4,8,5,1,2,6]=>0001011=>7
[6,7,2,8,3,5,4,1]=>0011011=>7
[2,3,1,4,8,6,5,7]=>0100101=>7
[2,1,3,4,8,6,5,7]=>1000101=>7
[1,2,3,4,8,6,5,7]=>0000101=>7
[4,8,3,6,2,1,5,7]=>1000101=>7
[3,5,8,2,6,1,4,7]=>0000101=>7
[3,6,5,8,2,4,1,7]=>0010101=>7
[5,3,8,7,2,4,6,1]=>0001111=>7
[2,8,4,5,7,3,6,1]=>0000111=>7
[2,4,5,7,3,8,1,6]=>0000011=>7
[6,2,4,5,8,3,1,7]=>0100101=>7
[4,8,1,2,5,6,3,7]=>0000101=>7
[8,1,3,5,2,6,4,7]=>0001101=>7
[5,2,1,6,3,8,4,7]=>1001101=>7
[6,2,5,1,8,4,3,7]=>0011101=>7
[3,6,1,5,8,4,2,7]=>0010101=>7
[6,1,4,5,8,3,2,7]=>0100101=>7
[5,6,4,8,1,3,2,7]=>0100101=>7
[6,5,4,3,8,2,1,7]=>1011101=>7
[5,4,3,7,2,8,1,6]=>0011011=>7
[5,8,4,3,7,2,6,1]=>0010111=>7
[4,6,8,3,7,2,5,1]=>0001011=>7
[7,4,6,3,2,8,1,5]=>0100111=>7
[1,4,3,6,2,7,8,5]=>0010101=>7
[1,5,4,3,7,2,8,6]=>0011011=>7
[4,7,8,5,3,1,2,6]=>0101001=>7
[5,7,3,4,1,2,8,6]=>0010011=>7
[8,5,4,7,6,2,1,3]=>1001111=>7
[8,5,7,4,3,6,1,2]=>0010111=>7
[4,3,8,1,6,7,5,2]=>0011011=>7
[4,7,8,3,6,1,5,2]=>0001101=>7
[5,3,8,6,7,4,1,2]=>0011011=>7
[1,3,8,6,4,7,5,2]=>0001111=>7
[8,6,2,7,4,1,5,3]=>0011111=>7
[7,6,2,1,4,3,8,5]=>1010111=>7
[7,6,1,3,4,2,8,5]=>0010111=>7
[1,5,7,3,2,6,8,4]=>0100011=>7
[1,6,7,3,2,5,8,4]=>0100011=>7
[3,2,6,8,5,7,4,1]=>0110011=>7
[5,8,2,3,6,7,4,1]=>0010011=>7
[7,5,2,3,1,6,8,4]=>0101011=>7
[1,6,4,7,2,3,8,5]=>0000111=>7
[3,1,7,5,2,8,4,6]=>0101011=>7
[2,5,7,4,1,8,3,6]=>0010011=>7
[4,2,6,1,7,8,3,5]=>0010101=>7
[4,2,7,6,3,8,1,5]=>0010111=>7
[6,4,8,7,2,3,5,1]=>0001111=>7
[3,2,6,8,7,4,5,1]=>0101011=>7
[3,2,7,4,1,6,8,5]=>0110011=>7
[6,3,2,1,7,8,4,5]=>1100101=>7
[3,7,1,8,4,2,5,6]=>0010011=>7
[4,2,1,3,7,5,8,6]=>1010011=>7
[8,1,3,7,4,2,6,5]=>0010111=>7
[8,4,3,7,6,2,1,5]=>1010111=>7
[8,3,5,2,7,6,1,4]=>0001111=>7
[3,6,2,8,7,1,5,4]=>0001111=>7
[7,3,2,8,1,6,5,4]=>0101111=>7
[3,8,7,2,6,5,4,1]=>0011111=>7
[4,2,7,8,6,1,5,3]=>0011101=>7
[6,8,2,4,7,1,5,3]=>0001011=>7
[5,2,1,8,7,3,6,4]=>1001111=>7
[8,2,1,6,3,7,5,4]=>1001111=>7
[6,8,3,1,7,5,2,4]=>0101011=>7
[5,8,1,6,7,2,4,3]=>0010011=>7
[6,2,8,1,5,7,4,3]=>0010111=>7
[5,7,8,2,6,1,4,3]=>0010101=>7
[8,7,2,5,6,4,3,1]=>0110111=>7
[8,6,7,5,2,4,3,1]=>0111011=>7
[7,2,6,8,1,5,4,3]=>0011011=>7
[1,2,7,8,5,6,4,3]=>0010101=>7
[7,4,8,1,6,2,5,3]=>0001111=>7
[3,7,1,8,2,6,5,4]=>0001111=>7
[2,1,7,3,8,6,5,4]=>1001111=>7
[8,2,1,7,6,5,4,3]=>1011111=>7
[8,1,4,7,6,5,3,2]=>0101111=>7
[8,6,7,5,1,4,3,2]=>0111011=>7
[7,8,6,5,4,1,3,2]=>0111101=>7
[5,8,4,3,2,1,6,7]=>1110001=>7
[6,4,7,3,2,1,8,5]=>1100111=>7
[5,4,7,3,2,1,6,8]=>1101010=>7
[6,5,3,7,2,1,4,8]=>1001110=>7
[5,8,3,6,2,1,4,7]=>1000101=>7
[6,3,7,8,2,1,4,5]=>1000101=>7
[5,3,7,6,2,1,4,8]=>1001110=>7
[3,8,7,6,2,1,4,5]=>1000111=>7
[5,8,4,2,6,1,3,7]=>0010101=>7
[4,8,7,2,5,1,3,6]=>0001011=>7
[5,8,3,2,6,1,4,7]=>0100101=>7
[4,8,3,2,5,1,7,6]=>0101011=>7
[4,3,7,2,5,1,8,6]=>0011011=>7
[3,8,7,2,5,1,4,6]=>0001011=>7
[6,4,2,7,5,1,3,8]=>0011110=>7
[6,3,2,7,5,1,4,8]=>0101110=>7
[5,3,2,6,7,1,4,8]=>0101010=>7
[3,8,2,6,5,1,4,7]=>0001101=>7
[6,2,7,8,5,1,3,4]=>0001101=>7
[5,2,7,6,8,1,3,4]=>0001011=>7
[4,2,7,6,5,1,3,8]=>0011110=>7
[2,8,7,6,5,1,3,4]=>0001111=>7
[6,5,4,3,1,7,8,2]=>0111101=>7
[6,4,7,3,1,5,8,2]=>0100111=>7
[5,4,7,3,1,8,6,2]=>0101111=>7
[6,4,3,7,1,5,8,2]=>0010111=>7
[5,4,3,6,1,8,7,2]=>0011111=>7
[6,3,7,8,1,4,5,2]=>0001101=>7
[5,3,7,6,1,4,8,2]=>0001111=>7
[4,3,7,6,1,5,8,2]=>0010111=>7
[3,8,7,6,1,4,5,2]=>0001111=>7
[6,5,4,2,1,7,3,8]=>1011110=>7
[6,4,7,2,1,5,3,8]=>1001110=>7
[4,8,7,2,1,5,3,6]=>1001011=>7
[5,8,3,2,1,4,7,6]=>1100011=>7
[4,8,3,2,1,5,7,6]=>1100011=>7
[5,3,7,2,1,4,8,6]=>1001011=>7
[3,8,7,2,1,4,5,6]=>1000011=>7
[6,5,2,7,1,4,3,8]=>0011110=>7
[5,8,2,6,1,4,3,7]=>0010101=>7
[6,4,2,7,1,5,3,8]=>0011110=>7
[5,4,2,6,1,8,3,7]=>0011101=>7
[4,3,2,6,1,5,8,7]=>0110101=>7
[6,2,7,8,1,4,3,5]=>0010101=>7
[4,2,7,6,1,5,3,8]=>0011110=>7
[3,2,7,6,1,4,5,8]=>0100110=>7
[6,5,4,1,8,7,3,2]=>0111111=>7
[5,8,4,1,6,7,3,2]=>0110011=>7
[6,4,7,1,5,8,3,2]=>0100111=>7
[5,4,7,1,6,8,3,2]=>0101011=>7
[4,8,7,1,5,6,3,2]=>0100111=>7
[5,4,3,1,6,8,7,2]=>0111011=>7
[4,8,3,1,5,6,7,2]=>0100011=>7
[3,8,7,1,5,4,6,2]=>0001111=>7
[5,8,2,1,6,4,3,7]=>1010101=>7
[6,3,2,1,5,4,8,7]=>1101101=>7
[5,3,2,1,6,4,8,7]=>1101101=>7
[3,8,2,1,5,4,6,7]=>1001001=>7
[6,2,7,1,5,4,3,8]=>0011110=>7
[5,2,7,1,6,4,3,8]=>0011110=>7
[4,2,7,1,5,6,3,8]=>0010110=>7
[3,2,7,1,5,4,6,8]=>0101010=>7
[2,8,7,1,5,4,3,6]=>0011011=>7
[6,5,1,7,8,4,3,2]=>0111101=>7
[5,8,1,6,7,4,3,2]=>0110011=>7
[6,4,1,7,5,8,3,2]=>0110111=>7
[5,4,1,6,7,8,3,2]=>0111001=>7
[4,8,1,6,5,7,3,2]=>0100111=>7
[6,3,1,7,5,4,8,2]=>0101111=>7
[5,3,1,6,7,4,8,2]=>0101011=>7
[4,3,1,6,5,7,8,2]=>0110101=>7
[3,8,1,6,5,4,7,2]=>0001111=>7
[5,2,1,6,7,4,3,8]=>1011010=>7
[4,2,1,6,5,7,3,8]=>1010110=>7
[2,8,1,6,5,4,3,7]=>0011101=>7
[6,1,7,8,5,4,3,2]=>0111101=>7
[4,1,7,6,5,8,3,2]=>0110111=>7
[3,1,7,6,5,4,8,2]=>0101111=>7
[4,5,8,1,2,6,3,7]=>0000101=>7
[1,4,5,7,2,6,3,8]=>0000110=>7
[1,7,3,5,6,2,4,8]=>0000110=>7
[8,1,3,5,7,2,4,6]=>0000011=>7
[3,6,8,1,7,2,4,5]=>0000011=>7
[3,4,5,6,8,1,7,2]=>0000011=>7
[4,5,8,2,6,7,1,3]=>0000011=>7
[8,2,3,5,6,7,1,4]=>0000011=>7
[1,7,2,3,5,4,6,8]=>0001010=>7
[8,1,2,3,5,4,6,7]=>0001001=>7
[2,7,8,1,3,5,4,6]=>0001001=>7
[2,7,8,3,5,6,1,4]=>0000101=>7
[2,4,5,7,8,1,6,3]=>0000101=>7
[4,5,8,1,7,6,3,2]=>0100111=>7
[4,5,8,7,2,1,6,3]=>1000111=>7
[8,7,3,5,6,2,1,4]=>1000111=>7
[8,7,2,1,3,5,4,6]=>1001011=>7
[3,6,8,7,2,1,5,4]=>1001011=>7
[8,6,4,1,7,5,3,2]=>0111111=>7
[7,6,4,3,1,8,5,2]=>0111111=>7
[2,3,6,7,8,1,5,4]=>0001001=>7
[3,6,8,1,2,5,4,7]=>0001001=>7
[1,3,6,7,2,5,4,8]=>0001010=>7
[7,4,1,8,5,2,3,6]=>0011011=>7
[7,1,4,2,8,3,6,5]=>0010111=>7
[7,1,8,2,5,3,6,4]=>0001111=>7
[8,1,7,5,4,2,3,6]=>0011011=>7
[1,7,2,6,5,4,3,8]=>0011110=>7
[1,7,6,3,2,5,4,8]=>0101110=>7
[8,6,3,1,2,5,4,7]=>0101101=>7
[8,1,7,6,3,2,4,5]=>0100111=>7
[8,2,5,7,6,3,1,4]=>0100111=>7
[3,6,8,1,7,5,4,2]=>0011011=>7
[8,2,6,7,5,4,1,3]=>0011011=>7
[2,7,8,6,3,1,5,4]=>0101101=>7
[2,7,8,1,6,5,4,3]=>0011101=>7
[7,3,1,8,6,5,4,2]=>0111111=>7
[8,7,2,1,6,5,4,3]=>1011111=>7
[8,7,6,3,2,1,5,4]=>1101111=>7
[2,1,8,6,3,7,4,5]=>1000111=>7
[8,6,1,5,2,7,4,3]=>0011111=>7
[8,5,1,7,4,2,6,3]=>0011111=>7
[2,1,7,5,4,3,8,6]=>1011011=>7
[2,1,7,8,3,6,5,4]=>1001101=>7
[2,1,4,8,5,7,3,6]=>1000011=>7
[8,5,3,1,6,2,4,7]=>0101101=>7
[6,4,1,5,2,3,8,7]=>0011101=>7
[8,3,7,5,2,6,1,4]=>0001111=>7
[5,3,7,4,6,8,1,2]=>0001011=>7
[5,8,3,7,6,2,1,4]=>1000111=>7
[4,2,6,3,8,5,1,7]=>0011101=>7
[3,8,2,4,7,5,1,6]=>0001011=>7
[5,8,2,1,7,6,4,3]=>1010111=>7
[8,3,2,4,1,7,5,6]=>0110011=>7
[7,8,3,1,5,4,6,2]=>0101101=>7
[7,2,8,1,4,6,5,3]=>0001111=>7
[6,2,3,1,4,5,8,7]=>0100101=>7
[5,6,1,4,3,2,8,7]=>0110101=>7
[5,7,1,8,3,6,2,4]=>0000111=>7
[6,8,1,4,5,3,2,7]=>0101001=>7
[8,2,6,1,4,7,3,5]=>0000111=>7
[8,3,5,6,1,7,4,2]=>0010111=>7
[6,3,5,4,1,2,8,7]=>0011101=>7
[8,7,3,6,5,1,4,2]=>0011111=>7
[2,7,4,3,6,1,8,5]=>0010111=>7
[3,4,7,2,8,1,5,6]=>0000011=>7
[4,2,3,5,8,1,6,7]=>0010001=>7
[3,8,4,7,1,6,5,2]=>0001111=>7
[3,2,4,6,1,5,8,7]=>0100101=>7
[8,3,4,5,7,6,1,2]=>0000111=>7
[3,2,4,5,6,8,1,7]=>0100001=>7
[5,6,8,1,4,2,7,3]=>0010011=>7
[1,5,7,8,4,6,2,3]=>0000101=>7
[1,3,5,7,8,6,2,4]=>0000101=>7
[3,5,7,8,6,1,2,4]=>0000101=>7
[3,5,1,6,8,2,7,4]=>0001011=>7
[3,1,5,6,8,2,7,4]=>0100011=>7
[2,3,5,6,8,1,7,4]=>0000011=>7
[5,6,4,8,2,1,7,3]=>1000111=>7
[5,1,6,3,8,4,7,2]=>0001111=>7
[2,5,1,6,8,3,7,4]=>0001011=>7
[5,1,2,6,8,3,7,4]=>0001011=>7
[5,7,1,8,6,2,3,4]=>0000111=>7
[1,5,2,7,8,6,3,4]=>0001101=>7
[1,6,7,5,2,8,3,4]=>0001011=>7
[6,1,7,5,2,8,3,4]=>0001111=>7
[2,6,7,5,1,8,3,4]=>0001011=>7
[5,7,2,8,6,1,3,4]=>0000111=>7
[3,5,7,8,6,2,1,4]=>1000101=>7
[5,1,7,8,6,3,4,2]=>0011101=>7
[5,1,3,7,8,6,4,2]=>0011101=>7
[5,2,7,8,4,6,1,3]=>0001101=>7
[3,2,5,7,8,6,1,4]=>0100101=>7
[6,2,7,5,1,8,3,4]=>0001111=>7
[1,2,6,7,5,8,3,4]=>0000011=>7
[6,2,7,5,4,1,8,3]=>0011111=>7
[6,7,5,2,4,1,8,3]=>0011011=>7
[6,7,2,5,3,8,1,4]=>0001011=>7
[6,7,4,5,2,1,8,3]=>1001011=>7
[5,1,7,8,6,4,3,2]=>0111101=>7
[2,5,7,8,6,3,1,4]=>0100101=>7
[5,1,7,8,6,3,2,4]=>0101101=>7
[6,3,7,5,1,8,2,4]=>0001111=>7
[1,6,7,5,3,8,2,4]=>0001011=>7
[1,6,7,5,4,2,8,3]=>0011011=>7
[6,7,5,1,4,2,8,3]=>0011011=>7
[5,7,8,6,4,1,2,3]=>0010101=>7
[4,1,7,2,6,5,8,3]=>0010111=>7
[2,4,7,1,5,6,8,3]=>0000011=>7
[6,7,4,1,5,2,8,3]=>0011011=>7
[1,6,7,4,5,2,8,3]=>0001011=>7
[1,6,3,7,5,8,2,4]=>0000111=>7
[6,3,1,7,5,8,2,4]=>0100111=>7
[2,5,3,7,8,6,1,4]=>0001101=>7
[6,7,5,4,2,1,8,3]=>1011011=>7
[6,3,2,7,5,8,1,4]=>0100111=>7
[6,7,4,2,5,1,8,3]=>0011011=>7
[6,2,7,4,5,1,8,3]=>0001111=>7
[6,2,3,7,5,8,1,4]=>0000111=>7
[4,5,1,6,3,2,8,7]=>0101101=>7
[7,5,1,6,3,8,2,4]=>0001111=>7
[7,5,1,6,3,8,4,2]=>0011111=>7
[2,7,6,1,3,8,4,5]=>0000111=>7
[2,7,6,1,3,8,5,4]=>0001111=>7
[7,3,5,1,8,2,6,4]=>0001111=>7
[7,3,5,1,8,2,4,6]=>0001011=>7
[3,7,5,1,8,6,2,4]=>0001111=>7
[2,6,7,1,5,8,3,4]=>0000011=>7
[2,6,7,4,1,8,3,5]=>0010011=>7
[2,1,6,7,3,8,5,4]=>1001011=>7
[2,6,7,4,1,8,5,3]=>0011011=>7
[2,6,7,1,5,8,4,3]=>0010011=>7
[3,6,5,1,8,4,7,2]=>0001111=>7
[3,6,5,1,8,4,2,7]=>0011101=>7
[3,7,5,4,8,1,6,2]=>0001111=>7
[3,7,5,4,8,1,2,6]=>0001011=>7
[4,6,1,5,8,7,3,2]=>0100111=>7
[4,6,1,5,8,7,2,3]=>0000111=>7
[4,6,1,5,8,2,7,3]=>0000111=>7
[7,5,1,6,2,8,3,4]=>0001111=>7
[7,5,1,6,2,8,4,3]=>0011111=>7
[4,6,1,5,8,2,3,7]=>0000101=>7
[4,7,1,5,8,3,6,2]=>0000111=>7
[2,3,4,7,8,1,6,5]=>0000101=>7
[6,8,5,4,3,2,7,1]=>0111011=>7
[7,9,6,5,4,3,2,8,1]=>01111011=>8
[8,9,6,5,4,3,2,1,7]=>11111001=>8
[6,8,5,4,3,7,2,1]=>1011011=>7
[5,8,4,3,2,1,7,6]=>1110011=>7
[6,5,4,3,1,8,7,2]=>0111111=>7
[8,7,6,5,4,3,9,1,2]=>00111111=>8
[8,7,5,4,3,1,6,2]=>0111111=>7
[9,7,6,5,4,3,1,8,2]=>01111111=>8
[8,3,4,6,2,1,5,7]=>1000101=>7
[3,5,6,2,1,8,4,7]=>1000101=>7
[3,5,2,6,8,4,1,7]=>0011001=>7
[7,5,3,2,8,4,1,6]=>0111011=>7
[7,5,3,2,8,4,6,1]=>0101111=>7
[2,4,5,7,3,8,6,1]=>0000111=>7
[4,2,5,6,8,3,1,7]=>0110001=>7
[4,2,8,1,5,6,3,7]=>0010101=>7
[2,5,6,1,8,4,3,7]=>0010101=>7
[5,3,6,8,1,4,2,7]=>0011001=>7
[4,5,6,8,1,3,2,7]=>0100001=>7
[1,4,5,6,8,3,2,7]=>0100001=>7
[4,5,6,3,8,2,1,7]=>1000101=>7
[4,5,3,7,2,8,6,1]=>0001111=>7
[6,4,7,3,2,8,5,1]=>0101111=>7
[6,1,4,7,3,2,8,5]=>0100111=>7
[1,7,8,4,5,3,2,6]=>0101001=>7
[5,1,7,3,8,4,2,6]=>0011011=>7
[2,5,1,7,4,3,8,6]=>0011011=>7
[2,5,7,4,1,8,6,3]=>0010111=>7
[5,3,7,1,4,8,6,2]=>0001111=>7
[6,4,3,1,7,8,5,2]=>0111101=>7
[6,4,1,7,3,8,5,2]=>0011111=>7
[5,6,3,7,8,4,2,1]=>1010101=>7
[5,1,6,3,7,8,4,2]=>0011101=>7
[5,6,1,3,7,8,4,2]=>0010101=>7
[5,6,1,7,8,3,4,2]=>0010101=>7
[1,6,3,7,4,8,5,2]=>0001111=>7
[6,7,2,4,1,8,5,3]=>0011011=>7
[6,7,2,1,4,3,8,5]=>1010011=>7
[6,4,7,3,1,2,8,5]=>0100111=>7
[5,6,3,1,2,7,8,4]=>0100101=>7
[5,6,1,3,2,7,8,4]=>0100101=>7
[5,6,3,2,1,7,8,4]=>1100101=>7
[2,5,6,3,7,8,4,1]=>0010101=>7
[2,5,6,3,1,7,8,4]=>0100101=>7
[2,6,4,7,3,1,8,5]=>0100111=>7
[6,3,7,2,8,4,5,1]=>0001111=>7
[6,3,7,2,8,4,1,5]=>0010111=>7
[6,3,2,7,1,8,4,5]=>0100111=>7
[7,5,3,2,1,8,4,6]=>1101011=>7
[7,3,8,4,2,1,5,6]=>1010011=>7
[4,7,2,1,3,8,6,5]=>1000111=>7
[1,3,7,8,6,4,2,5]=>0010101=>7
[7,3,8,4,6,2,1,5]=>1000111=>7
[5,7,3,8,2,1,6,4]=>1000111=>7
[6,3,7,8,5,2,1,4]=>1001101=>7
[4,6,2,7,8,5,3,1]=>0101101=>7
[4,6,2,1,7,8,5,3]=>1001101=>7
[7,4,5,8,1,2,6,3]=>0000111=>7
[2,5,1,7,3,8,6,4]=>0001111=>7
[6,7,2,1,3,8,5,4]=>1001011=>7
[5,1,6,7,8,2,4,3]=>0011001=>7
[6,3,7,1,8,5,2,4]=>0001111=>7
[6,2,1,7,3,8,5,4]=>1001111=>7
[6,2,7,1,8,5,4,3]=>0011111=>7
[6,3,1,7,8,5,4,2]=>0111101=>7
[4,1,3,6,8,2,5,7]=>0010001=>7
[4,2,3,6,8,1,5,7]=>0010001=>7
[5,3,2,1,8,4,7,6]=>1101011=>7
[3,6,5,8,2,1,7,4]=>1000111=>7
[4,5,2,1,3,8,7,6]=>1001011=>7
[3,2,6,4,5,8,1,7]=>0100101=>7
[2,4,6,5,8,1,3,7]=>0000101=>7
[1,6,2,4,5,8,3,7]=>0000101=>7
[5,3,2,1,6,8,4,7]=>1101001=>7
[6,2,4,5,8,1,3,7]=>0000101=>7
[1,3,4,6,5,8,2,7]=>0000101=>7
[1,6,3,4,5,8,2,7]=>0000101=>7
[3,4,1,8,5,2,7,6]=>0011011=>7
[2,8,4,1,7,6,3,5]=>0010111=>7
[8,1,4,2,7,3,6,5]=>0010111=>7
[1,5,3,2,8,7,4,6]=>0101011=>7
[8,2,1,7,5,3,4,6]=>1001011=>7
[1,7,6,4,5,8,3,2]=>0100111=>7
[5,8,7,4,1,2,6,3]=>0010111=>7
[5,8,7,4,6,2,1,3]=>1000111=>7
[3,4,2,5,8,6,7,1]=>0010011=>7
[4,1,3,5,6,8,7,2]=>0010011=>7
[2,4,8,6,7,1,3,5]=>0000011=>7
[4,3,6,2,8,1,7,5]=>0010111=>7
[3,7,4,8,2,1,6,5]=>1000111=>7
[2,3,5,8,6,7,1,4]=>0000011=>7
[3,2,5,6,8,7,1,4]=>0100011=>7
[2,1,8,5,6,7,3,4]=>1000011=>7
[1,2,8,3,5,6,7,4]=>0000011=>7
[4,2,3,7,1,8,6,5]=>0010111=>7
[3,2,6,4,8,1,7,5]=>0100111=>7
[8,2,1,6,7,3,4,5]=>1000011=>7
[2,7,8,5,4,1,3,6]=>0011001=>7
[1,7,5,3,8,4,2,6]=>0011011=>7
[4,7,5,3,1,2,8,6]=>0101011=>7
[7,2,4,8,5,3,1,6]=>0101011=>7
[4,8,3,1,2,7,6,5]=>0100111=>7
[3,5,2,7,4,1,8,6]=>0011011=>7
[8,4,2,3,7,1,5,6]=>0010011=>7
[2,8,4,7,1,3,5,6]=>0000011=>7
[8,2,4,6,7,1,3,5]=>0000011=>7
[4,8,2,3,6,7,1,5]=>0000011=>7
[3,5,2,7,6,1,8,4]=>0001111=>7
[1,6,3,2,5,8,7,4]=>0100111=>7
[5,8,3,2,1,6,7,4]=>1100011=>7
[5,8,7,3,4,6,2,1]=>1000111=>7
[5,8,2,7,4,1,6,3]=>0010111=>7
[5,1,4,2,8,7,6,3]=>0011111=>7
[4,7,6,5,8,2,1,3]=>1000111=>7
[5,3,7,1,6,2,8,4]=>0001111=>7
[5,2,6,8,7,1,3,4]=>0001011=>7
[6,3,2,1,8,5,7,4]=>1100111=>7
[2,7,5,4,1,8,6,3]=>0011111=>7
[4,2,5,6,8,7,1,3]=>0010011=>7
[1,8,4,2,5,6,7,3]=>0010011=>7
[3,8,4,1,5,6,7,2]=>0010011=>7
[4,2,8,5,6,7,1,3]=>0010011=>7
[5,2,4,7,1,8,6,3]=>0001111=>7
[5,3,4,7,1,8,6,2]=>0001111=>7
[8,6,4,1,3,2,5,7]=>0110101=>7
[8,1,3,6,5,2,4,7]=>0001101=>7
[8,1,4,3,6,5,2,7]=>0011101=>7
[3,6,5,2,1,8,7,4]=>1001111=>7
[8,3,2,4,6,5,1,7]=>0101101=>7
[8,4,2,1,6,5,3,7]=>1011101=>7
[8,4,1,2,6,5,3,7]=>0011101=>7
[8,6,4,2,1,5,3,7]=>1011101=>7
[8,3,6,4,1,5,2,7]=>0011101=>7
[8,2,6,3,4,5,1,7]=>0001101=>7
[1,3,4,8,5,7,2,6]=>0000011=>7
[5,8,4,7,6,2,3,1]=>0100111=>7
[1,3,4,7,5,8,2,6]=>0000011=>7
[1,3,5,2,4,8,7,6]=>0001011=>7
[2,6,5,1,3,8,7,4]=>0001111=>7
[4,7,1,6,5,8,3,2]=>0100111=>7
[5,4,8,7,6,3,1,2]=>0101111=>7
[2,8,5,1,4,7,6,3]=>0001111=>7
[4,3,1,5,8,6,7,2]=>0110011=>7
[4,1,3,5,8,6,7,2]=>0010011=>7
[6,5,3,8,4,7,1,2]=>0001111=>7
[5,4,2,1,6,8,7,3]=>1011011=>7
[6,8,4,3,2,7,1,5]=>0110011=>7
[3,4,7,8,2,1,6,5]=>1000101=>7
[5,1,3,2,8,6,7,4]=>0101011=>7
[5,3,1,2,8,6,7,4]=>0101011=>7
[5,2,3,1,6,8,7,4]=>0101011=>7
[5,3,2,1,8,6,7,4]=>1101011=>7
[5,2,1,3,6,8,7,4]=>1001011=>7
[2,4,7,3,8,1,6,5]=>0000111=>7
[6,3,8,2,7,4,1,5]=>0010111=>7
[8,2,1,3,6,4,7,5]=>1000111=>7
[3,5,1,7,8,4,2,6]=>0011001=>7
[2,7,4,5,8,3,1,6]=>0100011=>7
[1,8,4,3,7,2,6,5]=>0010111=>7
[3,4,8,7,2,1,6,5]=>1000111=>7
[5,4,7,8,3,6,2,1]=>1001101=>7
[6,4,3,8,7,2,1,5]=>1010111=>7
[6,3,8,7,4,1,2,5]=>0010111=>7
[3,5,7,2,4,8,1,6]=>0000011=>7
[8,4,7,2,3,1,5,6]=>0100011=>7
[8,4,7,1,3,2,5,6]=>0100011=>7
[8,4,7,2,1,3,5,6]=>1000011=>7
[8,6,4,2,1,3,7,5]=>1010111=>7
[8,6,4,1,3,2,7,5]=>0110111=>7
[8,6,4,2,3,1,7,5]=>0110111=>7
[3,5,7,2,6,1,8,4]=>0000111=>7
[6,1,3,8,5,7,2,4]=>0000111=>7
[5,8,3,2,6,7,1,4]=>0100011=>7
[4,8,5,3,6,2,7,1]=>0001111=>7
[2,8,1,5,4,7,6,3]=>0001111=>7
[1,5,8,7,4,6,2,3]=>0000111=>7
[2,1,7,6,4,5,8,3]=>1000111=>7
[1,7,2,4,6,5,8,3]=>0000111=>7
[3,5,1,7,6,8,2,4]=>0001011=>7
[5,8,2,6,1,3,7,4]=>0000111=>7
[6,3,5,8,7,2,1,4]=>1000111=>7
[2,5,7,8,4,1,6,3]=>0010101=>7
[4,2,8,1,5,6,7,3]=>0010011=>7
[4,1,5,2,6,8,7,3]=>0011011=>7
[3,4,5,1,6,8,7,2]=>0001011=>7
[4,2,8,5,1,6,7,3]=>0011011=>7
[4,1,8,5,2,6,7,3]=>0011011=>7
[2,7,1,8,5,4,6,3]=>0001111=>7
[5,8,6,2,1,3,7,4]=>1000111=>7
[8,2,4,1,5,6,7,3]=>0010011=>7
[4,6,3,5,8,1,7,2]=>0000111=>7
[1,7,8,3,5,4,6,2]=>0001101=>7
[3,4,5,1,8,6,7,2]=>0001011=>7
[3,8,1,4,5,6,7,2]=>0000011=>7
[3,4,5,6,8,2,1,7]=>1000001=>7
[3,4,5,7,1,8,6,2]=>0000111=>7
[3,4,5,7,8,2,6,1]=>0000101=>7
[3,4,6,2,8,5,1,7]=>0001101=>7
[3,4,6,8,1,5,2,7]=>0001001=>7
[3,4,7,2,1,8,6,5]=>1000111=>7
[3,4,7,8,1,5,6,2]=>0000101=>7
[3,4,8,2,1,5,6,7]=>1000001=>7
[3,5,2,6,7,8,1,4]=>0001001=>7
[3,5,2,7,8,4,6,1]=>0001101=>7
[3,5,2,8,4,1,6,7]=>0011001=>7
[3,5,6,2,8,4,1,7]=>0010101=>7
[3,5,6,8,4,1,2,7]=>0010001=>7
[3,5,7,2,4,8,6,1]=>0000111=>7
[3,5,7,2,8,4,6,1]=>0000111=>7
[3,5,7,8,4,1,6,2]=>0010101=>7
[3,6,2,1,7,8,5,4]=>1001101=>7
[3,6,2,1,8,5,4,7]=>1001101=>7
[3,6,7,2,4,8,5,1]=>0001011=>7
[3,6,7,2,8,5,4,1]=>0011011=>7
[3,6,7,8,4,5,1,2]=>0001001=>7
[3,6,8,2,4,5,1,7]=>0001001=>7
[3,7,2,1,4,8,6,5]=>1000111=>7
[3,7,2,1,8,5,6,4]=>1000111=>7
[3,7,2,8,4,5,6,1]=>0000111=>7
[3,7,8,2,4,5,6,1]=>0000101=>7
[3,8,2,1,4,5,6,7]=>1000001=>7
[4,1,5,6,7,8,3,2]=>0110001=>7
[4,1,5,7,3,8,6,2]=>0010111=>7
[4,1,6,3,7,8,5,2]=>0011101=>7
[4,1,6,3,8,5,2,7]=>0011101=>7
[4,1,6,7,3,8,5,2]=>0011011=>7
[4,1,6,7,8,5,2,3]=>0011001=>7
[4,1,6,8,3,5,2,7]=>0011001=>7
[4,1,7,3,2,8,6,5]=>0110111=>7
[4,1,7,8,3,5,6,2]=>0010101=>7
[4,1,8,3,2,5,6,7]=>0110001=>7
[4,5,2,6,7,8,3,1]=>0101001=>7
[4,5,2,6,8,1,3,7]=>0001001=>7
[4,5,6,3,8,1,2,7]=>0000101=>7
[4,5,6,8,3,1,2,7]=>0100001=>7
[4,5,7,3,8,1,6,2]=>0000111=>7
[4,5,8,3,2,1,6,7]=>1100001=>7
[4,6,2,3,7,8,5,1]=>0001101=>7
[4,6,2,3,8,5,1,7]=>0001101=>7
[4,6,2,7,3,8,5,1]=>0001111=>7
[4,6,2,7,8,5,1,3]=>0001101=>7
[4,6,7,3,2,8,5,1]=>0101011=>7
[4,6,8,3,2,5,1,7]=>0101001=>7
[4,7,2,3,1,8,6,5]=>0100111=>7
[4,7,2,8,3,5,6,1]=>0000111=>7
[4,7,8,3,2,5,6,1]=>0100101=>7
[4,8,2,3,1,5,6,7]=>0100001=>7
[5,1,2,6,8,4,3,7]=>0011001=>7
[5,1,2,7,4,8,6,3]=>0001111=>7
[5,1,2,7,8,4,6,3]=>0001101=>7
[5,1,2,8,4,3,6,7]=>0011001=>7
[5,1,6,3,8,4,2,7]=>0011101=>7
[5,1,6,7,4,8,2,3]=>0001011=>7
[5,1,6,7,8,4,2,3]=>0011001=>7
[5,1,8,3,4,2,6,7]=>0011001=>7
[5,6,2,3,8,4,1,7]=>0010101=>7
[5,6,2,7,8,4,1,3]=>0010101=>7
[5,6,8,3,4,2,1,7]=>1010001=>7
[5,7,2,3,4,8,6,1]=>0000111=>7
[5,7,2,3,8,4,6,1]=>0000111=>7
[5,7,8,3,4,2,6,1]=>0010101=>7
[5,8,2,3,4,1,6,7]=>0010001=>7
[6,1,2,3,7,8,5,4]=>0001101=>7
[6,1,2,3,8,5,4,7]=>0001101=>7
[6,1,2,7,8,5,4,3]=>0011101=>7
[6,1,2,8,4,5,3,7]=>0001101=>7
[6,1,7,3,4,8,5,2]=>0001111=>7
[6,1,7,3,8,5,4,2]=>0011111=>7
[6,1,7,8,4,5,3,2]=>0101101=>7
[6,1,8,3,4,5,2,7]=>0001101=>7
[6,7,2,3,8,5,4,1]=>0011011=>7
[6,7,2,8,4,5,3,1]=>0101011=>7
[6,8,2,3,4,5,1,7]=>0001001=>7
[7,1,2,3,4,8,6,5]=>0000111=>7
[7,1,2,8,4,5,6,3]=>0000111=>7
[7,1,8,3,4,5,6,2]=>0000111=>7
[6,4,1,8,2,3,7,5]=>0010111=>7
[5,8,1,2,4,3,7,6]=>0010011=>7
[1,3,5,7,2,6,4,8]=>0000110=>7
[3,5,8,6,1,2,4,7]=>0000101=>7
[3,1,6,8,2,4,7,5]=>0100011=>7
[3,6,2,8,1,5,7,4]=>0000111=>7
[2,6,1,3,8,4,7,5]=>0000111=>7
[1,7,5,2,3,4,6,8]=>0001010=>7
[2,7,5,1,3,8,4,6]=>0001011=>7
[8,2,5,7,4,6,1,3]=>0000111=>7
[8,2,1,3,7,6,4,5]=>1000111=>7
[8,2,5,1,3,7,4,6]=>0001011=>7
[8,2,7,5,3,1,6,4]=>0101111=>7
[8,2,6,5,4,7,1,3]=>0001111=>7
[7,6,5,2,4,8,1,3]=>0001111=>7
[7,8,2,5,3,1,6,4]=>0101101=>7
[7,1,8,6,3,2,4,5]=>0100111=>7
[6,8,1,5,3,2,4,7]=>0101001=>7
[1,6,7,5,3,2,4,8]=>0101010=>7
[6,5,1,2,4,8,3,7]=>0001101=>7
[7,8,1,6,4,2,3,5]=>0010101=>7
[8,4,1,2,5,6,3,7]=>0010101=>7
[1,7,3,6,5,2,4,8]=>0001110=>7
[8,1,3,7,2,6,4,5]=>0000111=>7
[7,3,2,6,5,1,8,4]=>0101111=>7
[7,8,4,2,5,6,1,3]=>0010101=>7
[8,2,7,4,5,6,1,3]=>0000111=>7
[8,2,3,6,5,1,7,4]=>0001111=>7
[7,9,8,6,5,4,3,2,1]=>11111011=>8
[6,9,8,7,5,4,3,2,1]=>11110111=>8
[5,9,8,7,6,4,3,2,1]=>11101111=>8
[4,9,8,7,6,5,3,2,1]=>11011111=>8
[3,9,8,7,6,5,4,2,1]=>10111111=>8
[2,9,8,7,6,5,4,3,1]=>01111111=>8
[8,10,9,7,6,5,4,3,2,1]=>111111011=>9
[6,9,7,8,5,4,3,2,1]=>11110011=>8
[7,10,9,8,6,5,4,3,2,1]=>111110111=>9
[4,8,6,5,7,3,2,1]=>1100111=>7
[5,9,8,6,7,4,3,2,1]=>11100111=>8
[6,10,9,8,7,5,4,3,2,1]=>111101111=>9
[3,8,7,5,4,6,2,1]=>1001111=>7
[4,8,5,6,7,3,2,1]=>1100011=>7
[4,9,8,7,5,6,3,2,1]=>11001111=>8
[5,10,9,8,7,6,4,3,2,1]=>111011111=>9
[2,8,7,6,4,3,5,1]=>0011111=>7
[3,8,7,4,5,6,2,1]=>1000111=>7
[3,9,8,7,6,4,5,2,1]=>10011111=>8
[4,10,9,8,7,6,5,3,2,1]=>110111111=>9
[1,8,7,6,5,3,2,4]=>0101111=>7
[2,8,7,6,3,4,5,1]=>0001111=>7
[2,9,8,7,6,5,3,4,1]=>00111111=>8
[3,10,9,8,7,6,5,4,2,1]=>101111111=>9
[1,8,7,6,5,2,3,4]=>0001111=>7
[1,9,8,7,6,5,4,2,3]=>00111111=>8
[2,10,9,8,7,6,5,4,3,1]=>011111111=>9
[7,2,8,6,5,4,1,3]=>0011111=>7
[7,2,8,5,4,6,1,3]=>0001111=>7
[6,3,2,8,5,1,7,4]=>0101111=>7
[8,4,7,2,5,6,3,1]=>0100111=>7
[6,8,5,4,3,1,7,2]=>0111011=>7
[5,8,6,4,1,3,7,2]=>0010111=>7
[4,8,6,1,5,3,7,2]=>0001111=>7
[3,6,1,8,5,2,7,4]=>0001111=>7
[3,4,1,2,8,6,7,5]=>0010011=>7
[6,8,3,5,4,1,7,2]=>0011011=>7
[7,2,5,8,3,6,1,4]=>0000111=>7
[1,7,5,6,3,4,2,8]=>0010110=>7
[7,2,6,8,5,3,1,4]=>0101011=>7
[7,6,3,8,5,2,1,4]=>1001111=>7
[7,2,6,4,8,3,1,5]=>0100111=>7
[1,5,7,4,2,6,3,8]=>0010110=>7
[4,2,3,1,7,8,5,6]=>0110001=>7
[5,2,8,4,1,7,6,3]=>0011111=>7
[8,6,3,4,7,2,5,1]=>0001111=>7
[6,8,3,4,5,1,7,2]=>0001011=>7
[1,6,3,2,5,8,4,7]=>0100101=>7
[8,3,2,1,5,4,7,6]=>1101011=>7
[6,3,7,1,5,8,4,2]=>0010111=>7
[2,5,1,8,4,3,7,6]=>0011011=>7
[6,2,5,4,8,1,3,7]=>0001101=>7
[4,3,1,6,5,8,2,7]=>0110101=>7
[1,3,5,4,6,8,2,7]=>0001001=>7
[6,1,3,4,5,8,2,7]=>0000101=>7
[8,3,4,1,5,2,7,6]=>0011011=>7
[7,5,4,2,6,8,3,1]=>0111011=>7
[8,2,6,4,1,7,3,5]=>0010111=>7
[7,3,8,4,5,2,1,6]=>1001011=>7
[7,2,5,1,8,4,3,6]=>0011011=>7
[1,7,3,2,5,4,8,6]=>0101011=>7
[8,7,2,1,5,3,4,6]=>1001011=>7
[3,6,1,5,8,7,4,2]=>0010111=>7
[8,3,6,4,5,1,7,2]=>0001111=>7
[5,4,6,8,1,2,7,3]=>0001011=>7
[6,4,7,2,3,5,8,1]=>0000111=>7
[6,8,4,1,3,5,7,2]=>0010011=>7
[3,4,7,8,6,2,5,1]=>0001101=>7
[4,1,3,5,7,8,6,2]=>0010101=>7
[6,5,1,8,4,7,3,2]=>0101111=>7
[5,3,1,8,4,7,6,2]=>0101111=>7
[8,2,7,4,6,1,3,5]=>0000111=>7
[4,7,3,2,8,1,6,5]=>0100111=>7
[6,3,1,4,7,2,8,5]=>0100111=>7
[8,7,3,6,1,5,2,4]=>0001111=>7
[7,4,3,6,8,2,5,1]=>0011011=>7
[2,4,7,3,8,5,6,1]=>0000111=>7
[2,8,6,1,5,7,3,4]=>0000111=>7
[7,8,2,5,4,3,1,6]=>0111001=>7
[1,8,3,4,2,7,6,5]=>0010111=>7
[8,5,3,7,4,2,6,1]=>0011111=>7
[5,7,3,2,4,1,8,6]=>0110011=>7
[2,8,3,4,7,1,5,6]=>0000011=>7
[4,1,3,6,7,8,2,5]=>0010001=>7
[1,7,6,3,2,5,8,4]=>0100111=>7
[3,8,1,5,6,2,7,4]=>0000111=>7
[8,2,5,6,1,7,4,3]=>0010111=>7
[7,1,5,2,8,6,4,3]=>0011111=>7
[6,5,4,8,7,2,1,3]=>1001111=>7
[1,8,6,4,5,2,7,3]=>0001111=>7
[1,8,5,3,6,2,7,4]=>0001111=>7
[3,6,2,1,7,5,8,4]=>1000111=>7
[2,5,4,1,8,7,6,3]=>0011111=>7
[4,7,2,6,5,8,1,3]=>0000111=>7
[6,8,1,4,2,7,3,5]=>0010011=>7
[6,3,4,7,1,8,2,5]=>0000111=>7
[3,4,7,8,2,5,6,1]=>0000101=>7
[1,8,2,4,5,6,7,3]=>0000011=>7
[5,2,4,1,6,8,7,3]=>0011011=>7
[3,2,5,7,6,1,8,4]=>0100111=>7
[4,3,5,6,1,8,7,2]=>0010111=>7
[5,3,4,1,7,6,8,2]=>0011011=>7
[3,1,4,6,5,7,8,2]=>0100101=>7
[1,4,7,3,5,6,8,2]=>0000011=>7
[5,1,3,6,4,8,7,2]=>0001111=>7
[1,3,2,7,5,8,6,4]=>0100111=>7
[1,4,2,5,8,3,7,6]=>0010011=>7
[1,4,2,7,8,5,6,3]=>0010101=>7
[5,1,2,6,8,4,7,3]=>0001011=>7
[3,1,2,6,5,8,4,7]=>0100101=>7
[4,1,2,6,8,5,3,7]=>0011001=>7
[1,5,2,4,8,7,6,3]=>0001111=>7
[1,2,6,4,8,7,5,3]=>0001111=>7
[1,2,7,4,8,6,5,3]=>0001111=>7
[1,3,2,7,5,8,4,6]=>0100011=>7
[2,3,1,7,5,4,8,6]=>0101011=>7
[1,3,2,8,5,7,4,6]=>0100011=>7
[1,4,2,5,8,7,3,6]=>0010011=>7
[1,5,2,4,8,7,3,6]=>0001011=>7
[1,2,6,4,8,7,3,5]=>0000111=>7
[1,2,7,8,5,6,3,4]=>0000101=>7
[1,2,6,8,5,7,3,4]=>0000011=>7
[1,5,6,8,2,7,3,4]=>0000011=>7
[1,3,8,2,6,7,4,5]=>0000011=>7
[1,4,7,2,8,6,3,5]=>0000111=>7
[1,6,7,8,2,5,3,4]=>0001001=>7
[1,2,6,8,3,7,5,4]=>0001011=>7
[1,5,7,8,2,3,6,4]=>0000101=>7
[1,5,2,7,8,4,6,3]=>0001101=>7
[1,4,7,2,8,3,6,5]=>0000111=>7
[1,3,6,2,4,8,7,5]=>0000111=>7
[1,6,7,3,4,8,5,2]=>0001011=>7
[1,5,3,7,4,8,6,2]=>0001111=>7
[2,8,4,1,5,3,7,6]=>0011011=>7
[3,8,4,1,5,7,2,6]=>0010011=>7
[1,3,6,4,2,8,7,5]=>0010111=>7
[1,3,7,4,2,8,6,5]=>0010111=>7
[1,3,8,4,2,7,6,5]=>0010111=>7
[1,2,8,4,7,3,6,5]=>0000111=>7
[1,2,7,4,8,3,6,5]=>0000111=>7
[1,2,6,4,8,3,7,5]=>0000111=>7
[1,5,2,4,8,3,7,6]=>0001011=>7
[1,8,4,5,7,2,3,6]=>0000011=>7
[1,8,3,5,2,7,4,6]=>0001011=>7
[2,8,3,5,1,4,7,6]=>0001011=>7
[2,3,8,6,1,4,7,5]=>0000111=>7
[1,3,8,6,2,7,4,5]=>0000111=>7
[1,4,8,6,7,2,3,5]=>0000011=>7
[1,5,6,8,7,2,3,4]=>0000011=>7
[1,2,6,8,5,3,7,4]=>0001011=>7
[1,2,7,8,5,3,6,4]=>0001101=>7
[1,2,5,8,7,3,6,4]=>0000111=>7
[1,2,6,8,7,3,5,4]=>0001011=>7
[1,2,7,8,6,3,5,4]=>0001101=>7
[1,6,7,8,5,2,3,4]=>0001001=>7
[1,5,7,8,6,2,3,4]=>0000101=>7
[1,4,7,6,8,2,3,5]=>0000011=>7
[1,3,7,6,2,8,4,5]=>0000111=>7
[2,3,8,7,4,1,6,5]=>0010111=>7
[1,2,8,4,7,6,3,5]=>0000111=>7
[1,2,5,8,7,6,3,4]=>0000111=>7
[1,2,6,8,7,5,3,4]=>0001011=>7
[1,2,7,8,6,5,3,4]=>0001101=>7
[5,2,6,7,3,4,8,1]=>0001011=>7
[5,2,4,7,6,3,8,1]=>0001111=>7
[5,6,2,1,7,8,3,4]=>1000101=>7
[5,6,2,1,4,8,7,3]=>1000111=>7
[2,6,1,4,5,8,7,3]=>0000111=>7
[5,4,2,7,6,3,8,1]=>0011111=>7
[2,3,7,6,4,5,8,1]=>0000111=>7
[2,6,1,7,5,8,3,4]=>0000111=>7
[2,6,1,7,4,8,5,3]=>0001111=>7
[5,1,2,7,8,4,3,6]=>0011001=>7
[2,6,1,7,4,8,3,5]=>0000111=>7
[3,6,4,1,7,8,2,5]=>0010101=>7
[5,4,6,1,3,8,7,2]=>0001111=>7
[3,6,4,1,5,8,7,2]=>0010111=>7
[2,6,1,5,4,8,7,3]=>0001111=>7
[2,6,1,4,7,8,5,3]=>0001101=>7
[5,1,2,4,8,6,7,3]=>0001011=>7
[5,1,2,4,8,7,3,6]=>0001011=>7
[5,1,2,4,8,7,6,3]=>0001111=>7
[1,2,3,8,5,4,7,6]=>0001011=>7
[4,3,1,2,8,5,7,6]=>0110011=>7
[2,1,5,3,8,6,4,7]=>1001101=>7
[1,2,3,8,5,6,4,7]=>0000101=>7
[1,2,3,8,6,4,5,7]=>0000101=>7
[1,2,3,8,6,5,4,7]=>0001101=>7
[1,2,3,8,5,4,6,7]=>0001001=>7
[2,6,1,5,4,8,3,7]=>0001101=>7
[5,1,2,4,8,6,3,7]=>0001101=>7
[5,1,2,4,8,3,7,6]=>0001011=>7
[5,6,3,1,4,8,2,7]=>0100101=>7
[2,5,4,3,1,8,6,7]=>0111001=>7
[5,4,6,3,1,8,7,2]=>0101111=>7
[3,6,4,5,1,8,7,2]=>0001111=>7
[3,6,5,4,1,8,7,2]=>0011111=>7
[5,2,6,1,7,8,4,3]=>0011101=>7
[5,1,6,2,8,7,3,4]=>0001111=>7
[2,1,3,7,8,6,4,5]=>1000101=>7
[2,1,3,7,8,5,6,4]=>1000101=>7
[5,2,4,1,7,8,6,3]=>0011101=>7
[4,3,1,2,8,6,7,5]=>0110011=>7
[5,1,4,2,8,6,7,3]=>0011011=>7
[2,1,3,6,8,5,7,4]=>1000011=>7
[1,2,3,8,6,7,4,5]=>0000011=>7
[1,2,3,8,7,5,4,6]=>0001011=>7
[1,2,3,8,7,4,5,6]=>0000011=>7
[1,2,3,8,5,7,4,6]=>0000011=>7
[2,1,3,6,8,7,4,5]=>1000011=>7
[5,4,1,2,8,7,6,3]=>0011111=>7
[3,1,6,2,8,7,5,4]=>0101111=>7
[1,2,3,4,5,9,6,7,8]=>00000001=>8
[1,2,3,4,9,5,6,7,8]=>00000001=>8
[1,2,3,9,4,5,6,7,8]=>00000001=>8
[1,2,9,3,4,5,6,7,8]=>00000001=>8
[1,2,3,4,5,6,7,10,8,9]=>000000001=>9
[1,2,3,4,5,9,7,6,8]=>00000101=>8
[1,2,3,4,5,6,10,7,8,9]=>000000001=>9
[1,2,3,4,9,6,5,7,8]=>00001001=>8
[1,2,3,4,5,10,6,7,8,9]=>000000001=>9
[1,2,8,4,5,3,6,7]=>0001001=>7
[1,2,3,9,5,4,6,7,8]=>00010001=>4
[1,2,3,4,10,5,6,7,8,9]=>000000001=>9
[1,8,3,4,2,5,6,7]=>0010001=>7
[1,2,9,4,3,5,6,7,8]=>00100001=>8
[1,2,3,10,4,5,6,7,8,9]=>000000001=>9
[1,8,4,3,2,5,6,7]=>0110001=>7
[1,9,3,2,4,5,6,7,8]=>01000001=>8
[1,2,10,3,4,5,6,7,8,9]=>000000001=>9
[8,4,7,6,5,3,2,1]=>1101111=>7
[8,4,7,5,6,3,2,1]=>1100111=>7
[8,5,7,4,6,3,2,1]=>1100111=>7
[8,7,6,3,5,4,2,1]=>1011111=>7
[8,6,7,3,5,4,2,1]=>1011011=>7
[8,5,7,3,6,4,2,1]=>1010111=>7
[8,1,7,4,6,5,3,2]=>0101111=>7
[8,1,7,3,6,5,4,2]=>0011111=>7
[8,2,7,3,6,5,4,1]=>0011111=>7
[8,3,7,2,6,5,4,1]=>0011111=>7
[8,5,7,2,6,4,3,1]=>0110111=>7
[8,6,7,2,5,4,3,1]=>0111011=>7
[8,7,6,2,5,4,3,1]=>0111111=>7
[8,4,7,1,6,5,3,2]=>0101111=>7
[8,3,7,1,6,5,4,2]=>0011111=>7
[8,2,7,1,6,5,4,3]=>0011111=>7
[8,1,7,2,6,5,4,3]=>0011111=>7
[8,7,6,2,5,3,4,1]=>0011111=>7
[8,1,7,6,5,3,4,2]=>0011111=>7
[8,3,7,6,5,2,4,1]=>0011111=>7
[8,4,7,6,5,2,3,1]=>0101111=>7
[8,5,7,6,4,2,3,1]=>0110111=>7
[8,6,7,5,4,1,3,2]=>0111011=>7
[8,5,7,6,4,1,3,2]=>0110111=>7
[8,3,7,6,5,1,4,2]=>0011111=>7
[8,7,6,4,5,1,3,2]=>0101111=>7
[8,7,6,2,5,1,4,3]=>0011111=>7
[8,7,6,1,5,2,4,3]=>0011111=>7
[6,8,1,3,2,5,4,7]=>0101001=>7
[6,8,1,4,2,5,3,7]=>0011001=>7
[7,8,3,6,1,4,2,5]=>0010101=>7
[7,8,2,5,3,6,1,4]=>0001101=>7
[7,8,2,5,1,4,3,6]=>0011001=>7
[7,8,1,4,3,6,2,5]=>0010101=>7
[5,8,1,4,3,7,2,6]=>0010011=>7
[6,8,2,5,1,4,3,7]=>0011001=>7
[6,8,2,5,3,7,1,4]=>0001011=>7
[6,8,2,5,4,7,1,3]=>0001011=>7
[2,5,4,7,6,8,1,3]=>0001011=>7
[2,5,3,7,6,8,1,4]=>0001011=>7
[2,5,1,4,3,7,6,8]=>0011010=>7
[2,6,1,4,3,7,5,8]=>0010110=>7
[2,6,5,8,1,4,3,7]=>0010101=>7
[2,6,1,5,3,7,4,8]=>0001110=>7
[2,6,3,7,4,8,1,5]=>0000111=>7
[2,6,4,7,5,8,1,3]=>0000111=>7
[5,8,3,6,4,7,1,2]=>0000111=>7
[5,8,2,6,4,7,1,3]=>0000111=>7
[4,8,2,6,3,7,1,5]=>0000111=>7
[4,8,1,5,3,7,2,6]=>0001011=>7
[4,8,1,5,2,6,3,7]=>0001101=>7
[4,8,3,7,1,5,2,6]=>0001011=>7
[6,8,3,7,1,4,2,5]=>0010011=>7
[5,8,1,3,2,6,4,7]=>0100101=>7
[5,8,4,7,1,3,2,6]=>0100011=>7
[6,8,4,7,1,3,2,5]=>0100011=>7
[6,8,5,7,1,3,2,4]=>0100011=>7
[5,7,6,8,2,4,1,3]=>0010011=>7
[4,7,6,8,1,3,2,5]=>0100011=>7
[4,7,5,8,1,3,2,6]=>0100011=>7
[4,7,1,3,2,6,5,8]=>0100110=>7
[3,7,1,4,2,6,5,8]=>0010110=>7
[3,7,5,8,1,4,2,6]=>0010011=>7
[3,7,6,8,1,4,2,5]=>0010011=>7
[3,7,6,8,2,5,1,4]=>0001011=>7
[4,7,6,8,2,5,1,3]=>0001011=>7
[4,7,5,8,3,6,1,2]=>0000111=>7
[4,7,5,8,2,6,1,3]=>0000111=>7
[3,7,5,8,2,6,1,4]=>0000111=>7
[3,7,4,8,2,6,1,5]=>0000111=>7
[3,7,4,8,1,5,2,6]=>0001011=>7
[3,7,1,5,2,6,4,8]=>0001110=>7
[3,7,2,6,1,5,4,8]=>0001110=>7
[3,7,2,6,5,8,1,4]=>0000111=>7
[4,7,3,6,5,8,1,2]=>0000111=>7
[3,6,5,8,4,7,1,2]=>0000111=>7
[2,6,5,8,4,7,1,3]=>0000111=>7
[2,6,5,8,3,7,1,4]=>0000111=>7
[2,6,3,7,1,5,4,8]=>0001110=>7
[7,6,4,2,8,5,3,1]=>0111111=>7
[7,6,4,3,8,2,5,1]=>0011111=>7
[7,6,4,8,5,2,3,1]=>0101111=>7
[6,8,4,3,7,2,1,5]=>1010011=>7
[6,7,4,3,5,1,8,2]=>0011011=>7
[6,7,3,5,4,8,2,1]=>1001011=>7
[6,8,3,7,5,2,4,1]=>0011011=>7
[7,6,8,3,5,2,4,1]=>0011011=>7
[7,6,3,5,8,2,4,1]=>0010111=>7
[7,6,3,5,2,4,8,1]=>0001111=>7
[7,6,4,2,5,1,8,3]=>0011111=>7
[7,6,2,8,4,1,5,3]=>0011111=>7
[7,6,3,8,2,4,1,5]=>0010111=>7
[7,6,3,4,8,2,5,1]=>0001111=>7
[6,8,3,7,4,5,2,1]=>1001011=>7
[6,7,3,5,8,4,2,1]=>1010011=>7
[5,7,8,3,6,2,1,4]=>1000101=>7
[5,8,3,6,7,2,1,4]=>1000011=>7
[6,3,4,8,7,2,5,1]=>0001111=>7
[6,3,8,4,7,2,1,5]=>1000111=>7
[6,2,8,4,1,7,5,3]=>0011111=>7
[6,2,7,4,1,5,3,8]=>0011110=>7
[6,3,4,7,5,8,2,1]=>1000111=>7
[6,3,5,7,8,4,2,1]=>1010101=>7
[5,7,3,6,8,2,1,4]=>1000011=>7
[5,6,8,3,7,2,1,4]=>1000011=>7
[5,6,7,3,4,1,8,2]=>0010011=>7
[4,6,7,8,3,5,2,1]=>1001001=>7
[4,6,8,3,5,7,2,1]=>1000011=>7
[4,7,3,5,6,8,2,1]=>1000011=>7
[4,7,3,5,8,2,6,1]=>0000111=>7
[5,3,4,7,8,2,1,6]=>1001001=>7
[5,3,8,2,4,1,6,7]=>0011001=>7
[5,3,4,8,2,6,1,7]=>0001101=>7
[4,8,3,6,2,5,7,1]=>0000111=>7
[4,8,3,5,7,2,6,1]=>0000111=>7
[4,8,3,5,6,7,2,1]=>1000011=>7
[4,7,8,3,5,6,2,1]=>1000101=>7
[4,7,8,3,6,2,5,1]=>0001101=>7
[4,8,3,6,7,2,5,1]=>0001011=>7
[4,8,3,7,2,5,6,1]=>0000111=>7
[5,3,4,8,2,7,6,1]=>0001111=>7
[5,3,8,2,4,1,7,6]=>0011011=>7
[5,2,8,4,1,7,3,6]=>0011011=>7
[6,4,2,5,1,8,7,3]=>0011111=>7
[6,4,3,5,8,2,1,7]=>1010101=>7
[6,3,5,8,7,2,4,1]=>0010111=>7
[5,8,3,7,2,6,4,1]=>0010111=>7
[5,7,3,4,8,2,1,6]=>1000011=>7
[5,8,4,2,3,1,6,7]=>0110001=>7
[5,8,4,2,3,1,7,6]=>0110011=>7
[6,4,5,3,8,2,1,7]=>1001101=>7
[6,4,8,5,3,7,2,1]=>1001111=>7
[6,4,3,8,5,7,2,1]=>1010111=>7
[6,4,2,8,5,3,1,7]=>0111101=>7
[6,4,2,7,3,1,8,5]=>0110111=>7
[6,4,3,7,8,5,2,1]=>1011101=>7
[6,4,5,3,7,1,8,2]=>0001111=>7
[5,7,4,2,3,1,6,8]=>0110010=>7
[5,6,3,7,1,8,2,4]=>0000111=>7
[5,6,3,4,7,1,8,2]=>0000111=>7
[5,6,3,4,8,2,1,7]=>1000101=>7
[6,3,5,7,4,8,2,1]=>1000111=>7
[6,3,5,4,7,8,2,1]=>1001101=>7
[6,4,3,5,7,1,8,2]=>0010111=>7
[6,4,2,5,1,7,3,8]=>0011110=>7
[5,3,7,2,4,1,6,8]=>0011010=>7
[5,3,4,7,2,6,1,8]=>0001110=>7
[4,7,3,6,2,5,8,1]=>0000111=>7
[4,7,3,6,8,2,5,1]=>0001011=>7
[4,6,7,3,5,8,2,1]=>1000011=>7
[4,5,7,8,3,6,2,1]=>1000101=>7
[4,5,8,3,6,7,2,1]=>1000011=>7
[4,5,8,3,7,2,6,1]=>0000111=>7
[5,3,4,6,8,2,1,7]=>1001001=>7
[5,3,6,8,2,1,4,7]=>1001001=>7
[5,3,6,7,1,8,2,4]=>0001011=>7
[5,3,4,6,7,1,8,2]=>0001011=>7
[4,6,3,5,7,8,2,1]=>1000101=>7
[4,5,7,3,6,8,2,1]=>1000011=>7
[4,5,6,8,3,7,2,1]=>1000011=>7
[5,7,4,8,6,3,2,1]=>1100111=>7
[3,2,6,5,1,8,7,4]=>0101111=>7
[3,5,6,7,2,8,4,1]=>0010011=>7
[7,6,9,8,5,4,3,2,1]=>11110111=>8
[6,5,4,9,8,7,3,2,1]=>11011111=>8
[6,8,5,9,7,4,3,2,1]=>11100111=>8
[6,7,8,9,5,4,3,2,1]=>11110001=>8
[5,4,3,2,9,8,7,6,1]=>01111111=>8
[5,8,4,3,9,7,6,2,1]=>10101111=>8
[5,4,7,6,9,8,3,2,1]=>11010111=>8
[5,7,8,4,9,6,3,2,1]=>11001011=>8
[5,6,7,8,9,4,3,2,1]=>11100001=>8
[4,8,3,2,1,9,7,6,5]=>11001111=>8
[4,3,7,6,2,9,8,5,1]=>00111111=>8
[4,7,8,3,2,9,6,5,1]=>01011011=>8
[4,6,3,8,5,9,7,2,1]=>10001111=>8
[4,6,7,8,3,9,5,2,1]=>10010011=>8
[4,5,6,7,8,9,3,2,1]=>11000001=>8
[3,2,1,6,5,4,9,8,7]=>11011011=>8
[3,6,2,8,5,1,9,7,4]=>00011111=>8
[3,6,7,8,2,1,9,5,4]=>10010011=>8
[3,2,5,4,7,6,9,8,1]=>01010111=>8
[3,5,7,2,8,4,9,6,1]=>00001111=>8
[3,5,6,7,8,2,9,4,1]=>00100011=>8
[3,4,5,6,7,8,9,2,1]=>10000001=>8
[2,4,6,7,1,8,3,9,5]=>00000111=>8
[2,4,5,6,7,8,1,9,3]=>00000011=>8
[8,7,10,9,6,5,4,3,2,1]=>111110111=>9
[8,9,10,7,6,5,4,3,2,1]=>111111001=>9
[7,6,5,10,9,8,4,3,2,1]=>111011111=>9
[7,9,6,10,8,5,4,3,2,1]=>111100111=>9
[7,8,9,10,6,5,4,3,2,1]=>111110001=>9
[6,5,4,3,10,9,8,7,2,1]=>101111111=>9
[6,9,5,4,10,8,7,3,2,1]=>110101111=>9
[6,5,8,7,10,9,4,3,2,1]=>111010111=>9
[6,8,9,5,10,7,4,3,2,1]=>111001011=>9
[5,4,3,2,1,10,9,8,7,6]=>111101111=>9
[5,9,4,3,2,10,8,7,6,1]=>011011111=>9
[5,4,8,7,3,10,9,6,2,1]=>100111111=>9
[5,8,9,4,3,10,7,6,2,1]=>101011011=>9
[5,7,4,9,6,10,8,3,2,1]=>110001111=>9
[5,6,7,8,9,10,4,3,2,1]=>111000001=>9
[4,3,8,7,2,1,10,9,6,5]=>101011111=>9
[4,8,9,3,2,1,10,7,6,5]=>110011011=>9
[4,3,2,7,6,5,10,9,8,1]=>011011111=>9
[4,7,3,9,6,2,10,8,5,1]=>000111111=>9
[4,7,8,9,3,2,10,6,5,1]=>010110011=>9
[4,3,6,5,8,7,10,9,2,1]=>101010111=>9
[4,6,7,8,9,3,10,5,2,1]=>100100011=>9
[4,5,6,7,8,9,10,3,2,1]=>110000001=>9
[3,6,2,1,9,5,4,10,8,7]=>100110111=>9
[3,2,6,5,8,7,1,10,9,4]=>010011111=>9
[3,6,8,2,9,5,1,10,7,4]=>000101111=>9
[3,6,7,8,9,2,1,10,5,4]=>100100011=>9
[3,5,7,8,2,9,4,10,6,1]=>000010111=>9
[3,5,6,7,8,9,2,10,4,1]=>001000011=>9
[3,4,5,6,7,8,9,10,2,1]=>100000001=>9
[2,4,6,1,8,3,9,5,10,7]=>000010111=>9
[2,4,6,7,8,1,9,3,10,5]=>000000111=>9
[2,4,5,6,7,8,9,1,10,3]=>000000011=>9
[1,6,2,5,3,4,8,7]=>0001101=>7
[1,3,8,2,4,6,5,7]=>0000101=>7
[1,7,2,3,6,4,8,5]=>0000111=>7
[1,6,8,2,5,3,7,4]=>0001011=>7
[1,8,2,5,3,4,7,6]=>0001011=>7
[1,8,2,3,6,4,7,5]=>0000111=>7
[1,3,5,2,8,4,7,6]=>0001011=>7
[1,2,7,3,5,4,6,8]=>0001010=>7
[1,8,2,7,3,4,6,5]=>0000111=>7
[1,5,8,2,3,7,4,6]=>0000011=>7
[1,6,8,2,3,5,4,7]=>0001001=>7
[5,3,6,1,2,4,8,7]=>0001101=>7
[7,1,5,8,4,2,3,6]=>0010011=>7
[8,1,5,7,4,2,3,6]=>0010011=>7
[7,1,4,5,8,2,3,6]=>0000011=>7
[7,4,1,6,2,8,3,5]=>0010111=>7
[8,4,1,7,2,6,3,5]=>0010111=>7
[8,1,4,7,5,2,3,6]=>0001011=>7
[8,1,5,4,7,2,3,6]=>0001011=>7
[2,1,7,5,8,3,4,6]=>1000011=>7
[7,1,5,4,8,2,3,6]=>0001011=>7
[7,1,4,8,5,2,3,6]=>0001011=>7
[6,4,1,7,2,3,8,5]=>0010111=>7
[7,8,3,1,2,4,6,5]=>0100101=>7
[8,7,1,6,4,2,3,5]=>0010111=>7
[8,6,1,7,4,2,3,5]=>0010111=>7
[7,6,1,8,4,2,3,5]=>0010111=>7
[7,3,8,1,2,4,6,5]=>0000111=>7
[8,3,7,1,2,4,6,5]=>0000111=>7
[8,3,6,1,2,4,7,5]=>0000111=>7
[8,3,7,5,1,2,4,6]=>0001011=>7
[7,3,6,1,2,4,8,5]=>0000111=>7
[6,7,1,8,4,2,3,5]=>0010011=>7
[6,8,1,7,4,2,3,5]=>0010011=>7
[7,1,8,5,4,2,3,6]=>0011011=>7
[7,1,8,4,5,2,3,6]=>0001011=>7
[2,1,7,8,5,3,4,6]=>1001001=>7
[7,6,3,1,2,4,8,5]=>0100111=>7
[6,1,2,3,8,7,5,4]=>0001111=>7
[6,8,1,4,2,3,7,5]=>0010011=>7
[6,8,3,1,2,7,4,5]=>0100011=>7
[6,7,3,1,2,8,4,5]=>0100011=>7
[6,7,1,4,2,3,8,5]=>0010011=>7
[4,3,6,8,5,7,1,2]=>0010011=>7
[6,1,2,5,4,8,3,7]=>0001101=>7
[3,2,8,5,4,1,7,6]=>0111011=>7
[7,8,2,1,4,6,3,5]=>1000101=>7
[7,2,1,5,8,3,4,6]=>1000011=>7
[2,4,8,5,1,3,6,7]=>0001001=>7
[3,5,6,1,8,4,2,7]=>0010101=>7
[1,3,6,8,7,4,2,5]=>0010011=>7
[1,2,8,5,7,3,4,6]=>0000011=>7
[2,6,1,5,8,3,4,7]=>0000101=>7
[5,7,1,6,8,4,3,2]=>0110011=>7
[4,8,1,2,5,7,3,6]=>0000011=>7
[8,4,6,2,5,7,3,1]=>0100111=>7
[8,3,6,4,7,2,5,1]=>0001111=>7
[3,8,1,4,7,2,5,6]=>0000011=>7
[1,7,8,4,6,2,5,3]=>0001101=>7
[3,7,4,8,5,1,6,2]=>0001111=>7
[3,7,1,6,5,4,8,2]=>0001111=>7
[2,7,3,1,5,8,4,6]=>0100011=>7
[2,7,4,6,8,1,3,5]=>0000011=>7
[2,7,5,8,6,4,1,3]=>0010111=>7
[8,2,6,7,5,4,3,1]=>0111011=>7
[3,8,7,1,6,4,5,2]=>0001111=>7
[3,6,8,2,7,4,1,5]=>0010011=>7
[1,5,2,8,7,4,6,3]=>0001111=>7
[3,4,2,7,8,1,6,5]=>0010101=>7
[4,1,3,7,5,6,8,2]=>0010011=>7
[6,3,8,1,7,4,2,5]=>0010111=>7
[6,5,8,7,1,4,2,3]=>0010111=>7
[4,1,7,3,8,5,2,6]=>0011011=>7
[3,6,1,4,5,8,2,7]=>0000101=>7
[1,6,7,4,5,3,8,2]=>0001011=>7
[6,1,7,3,5,4,8,2]=>0001111=>7
[6,3,1,2,5,8,4,7]=>0100101=>7
[1,4,7,2,8,5,3,6]=>0001011=>7
[5,6,8,7,2,4,1,3]=>0010011=>7
[6,8,5,7,1,2,4,3]=>0010011=>7
[2,8,4,1,7,5,6,3]=>0010111=>7
[8,2,4,3,7,5,6,1]=>0010111=>7
[6,8,2,1,5,7,3,4]=>1000011=>7
[7,2,8,4,1,6,3,5]=>0010111=>7
[1,2,4,8,6,5,3,7]=>0001101=>7
[7,1,5,6,8,4,3,2]=>0110011=>7
[2,7,8,1,4,6,3,5]=>0000101=>7
[4,8,2,5,7,1,6,3]=>0000111=>7
[4,1,6,8,5,3,7,2]=>0011011=>7
[5,2,6,4,8,3,1,7]=>0101101=>7
[6,7,1,3,4,5,8,2]=>0000011=>7
[1,7,3,2,4,8,5,6]=>0100011=>7
[1,3,6,5,2,8,4,7]=>0001101=>7
[7,1,6,5,3,4,8,2]=>0001111=>7
[6,3,4,2,8,7,5,1]=>0011111=>7
[4,3,8,7,5,2,6,1]=>0011111=>7
[6,8,7,4,2,3,5,1]=>0011011=>7
[3,6,4,5,2,8,7,1]=>0001111=>7
[8,6,1,3,5,4,2,7]=>0011101=>7
[5,3,8,6,1,2,4,7]=>0001101=>7
[2,5,6,3,4,8,7,1]=>0000111=>7
[2,5,3,6,8,7,4,1]=>0011011=>7
[4,8,7,3,5,2,6,1]=>0001111=>7
[3,8,7,2,6,4,5,1]=>0001111=>7
[6,3,5,4,8,7,2,1]=>1001111=>7
[4,3,8,6,1,5,2,7]=>0011101=>7
[4,7,6,2,5,3,8,1]=>0001111=>7
[7,5,2,6,8,1,4,3]=>0011011=>7
[8,5,2,7,1,4,3,6]=>0011011=>7
[1,8,5,3,6,2,4,7]=>0001101=>7
[5,1,7,2,4,3,8,6]=>0011011=>7
[1,5,3,4,8,6,2,7]=>0001101=>7
[5,4,1,3,8,6,2,7]=>0011101=>7
[5,1,8,6,3,4,2,7]=>0011101=>7
[4,5,2,8,3,7,6,1]=>0001111=>7
[8,2,3,7,6,4,5,1]=>0001111=>7
[5,8,2,4,7,6,3,1]=>0100111=>7
[6,8,2,5,3,4,7,1]=>0001011=>7
[7,2,5,6,4,8,1,3]=>0000111=>7
[1,6,7,4,8,2,3,5]=>0000011=>7
[7,1,3,5,8,2,6,4]=>0000111=>7
[8,2,1,3,5,6,7,4]=>1000011=>7
[6,3,1,4,7,5,8,2]=>0100111=>7
[4,1,3,8,2,6,7,5]=>0010011=>7
[2,8,3,6,7,5,4,1]=>0011011=>7
[3,1,7,2,8,5,4,6]=>0101011=>7
[3,6,1,4,7,2,8,5]=>0000111=>7
[1,5,8,4,7,2,3,6]=>0000011=>7
[7,1,3,6,2,8,4,5]=>0000111=>7
[6,2,7,4,5,8,1,3]=>0000111=>7
[2,1,8,4,5,7,3,6]=>1000011=>7
[1,8,5,7,3,2,4,6]=>0100011=>7
[2,1,8,5,4,3,6,7]=>1011001=>7
[2,7,4,1,5,3,8,6]=>0011011=>7
[7,4,8,6,2,3,1,5]=>0100111=>7
[2,7,1,4,6,3,8,5]=>0000111=>7
[4,7,5,6,8,1,3,2]=>0100011=>7
[7,1,3,2,8,5,4,6]=>0101011=>7
[2,8,5,4,1,3,6,7]=>0011001=>7
[5,1,7,4,2,3,8,6]=>0011011=>7
[3,8,6,5,1,4,2,7]=>0011101=>7
[1,3,4,8,6,5,2,7]=>0001101=>7
[4,1,8,6,5,3,2,7]=>0111101=>7
[4,8,5,2,7,3,6,1]=>0001111=>7
[7,2,8,5,3,6,4,1]=>0011111=>7
[5,2,8,4,3,7,6,1]=>0011111=>7
[8,4,7,5,2,3,6,1]=>0001111=>7
[7,5,2,8,4,6,1,3]=>0001111=>7
[5,7,4,3,6,2,8,1]=>0010111=>7
[6,7,5,1,2,8,3,4]=>0001011=>7
[5,2,6,8,3,4,7,1]=>0001011=>7
[7,6,2,4,5,8,3,1]=>0100111=>7
[3,6,8,4,7,2,5,1]=>0001011=>7
[7,6,3,8,4,2,5,1]=>0011111=>7
[2,6,3,8,4,7,5,1]=>0001111=>7
[7,2,3,6,5,8,4,1]=>0010111=>7
[6,2,7,5,8,3,1,4]=>0100111=>7
[2,8,3,6,4,5,7,1]=>0000111=>7
[2,1,5,6,8,3,7,4]=>1000011=>7
[5,8,1,2,6,4,7,3]=>0000111=>7
[1,6,8,3,2,7,4,5]=>0100011=>7
[6,5,7,2,8,4,1,3]=>0010111=>7
[7,5,1,2,8,4,6,3]=>0001111=>7
[5,4,8,3,6,2,7,1]=>0001111=>7
[5,8,2,7,4,3,6,1]=>0010111=>7
[6,4,5,8,2,7,3,1]=>0100111=>7
[5,7,3,6,4,8,2,1]=>1000111=>7
[1,5,6,4,8,2,7,3]=>0000111=>7
[3,1,5,6,4,8,7,2]=>0100111=>7
[1,3,6,2,5,7,8,4]=>0000101=>7
[1,4,6,3,5,7,8,2]=>0000101=>7
[3,5,1,6,4,7,8,2]=>0001101=>7
[3,6,1,4,2,7,8,5]=>0010101=>7
[2,4,6,3,1,7,8,5]=>0100101=>7
[1,3,6,5,2,7,8,4]=>0001101=>7
[1,2,6,4,3,8,5,7]=>0010101=>7
[1,2,6,3,5,8,7,4]=>0000111=>7
[2,3,5,1,8,4,7,6]=>0001011=>7
[2,3,6,1,8,5,4,7]=>0001101=>7
[1,2,7,4,6,8,3,5]=>0000011=>7
[2,3,7,5,1,8,4,6]=>0001011=>7
[4,7,2,5,3,8,6,1]=>0001111=>7
[3,1,7,5,4,8,6,2]=>0101111=>7
[1,2,7,6,4,8,5,3]=>0001111=>7
[1,2,7,3,6,8,5,4]=>0001011=>7
[2,3,6,1,8,5,7,4]=>0000111=>7
[3,1,5,4,8,7,6,2]=>0101111=>7
[1,2,5,8,4,7,3,6]=>0000011=>7
[1,2,6,8,5,4,7,3]=>0001011=>7
[1,3,6,8,5,2,7,4]=>0001011=>7
[3,5,7,4,8,2,1,6]=>1000011=>7
[2,4,7,6,8,3,1,5]=>0100011=>7
[1,4,6,8,3,5,2,7]=>0001001=>7
[1,3,6,8,5,2,4,7]=>0001001=>7
[1,2,6,8,5,4,3,7]=>0011001=>7
[1,2,5,8,4,3,7,6]=>0010011=>7
[1,3,5,8,2,4,7,6]=>0000011=>7
[1,3,6,8,2,5,4,7]=>0001001=>7
[1,4,6,8,3,2,5,7]=>0100001=>7
[3,5,7,4,8,1,2,6]=>0000011=>7
[4,6,1,7,5,8,2,3]=>0000111=>7
[2,3,6,7,5,8,1,4]=>0000011=>7
[1,3,7,5,6,8,2,4]=>0000011=>7
[2,3,6,5,8,1,7,4]=>0000111=>7
[3,4,6,2,8,1,7,5]=>0000111=>7
[3,5,4,6,8,2,1,7]=>1001001=>7
[3,5,4,6,8,1,2,7]=>0001001=>7
[1,2,4,7,5,8,3,6]=>0000011=>7
[1,2,6,7,4,8,3,5]=>0000011=>7
[3,6,4,7,1,8,5,2]=>0001111=>7
[1,2,6,7,3,8,5,4]=>0001011=>7
[1,2,5,7,3,8,6,4]=>0000111=>7
[3,1,5,7,6,8,4,2]=>0110011=>7
[3,5,4,6,8,2,7,1]=>0001011=>7
[4,2,6,1,8,7,5,3]=>0011111=>7
[3,1,6,5,8,7,4,2]=>0110111=>7
[2,3,6,5,8,7,1,4]=>0000111=>7
[1,2,7,4,6,8,5,3]=>0001011=>7
[1,2,7,5,6,8,4,3]=>0010011=>7
[3,1,6,7,5,8,4,2]=>0110011=>7
[4,6,2,7,5,8,3,1]=>0100111=>7
[3,5,7,4,8,2,6,1]=>0000111=>7
[2,4,7,6,8,3,5,1]=>0001011=>7
[1,4,6,8,3,5,7,2]=>0000011=>7
[1,3,6,8,2,5,7,4]=>0000011=>7
[1,3,5,8,2,7,4,6]=>0000011=>7
[1,2,5,8,4,7,6,3]=>0000111=>7
[1,2,4,8,7,3,6,5]=>0000111=>7
[1,2,5,8,7,4,3,6]=>0010011=>7
[1,3,5,8,7,2,4,6]=>0000011=>7
[2,3,7,6,8,5,1,4]=>0001011=>7
[5,7,1,2,8,6,4,3]=>0010111=>7
[3,1,7,6,8,5,4,2]=>0111011=>7
[1,2,6,8,5,7,4,3]=>0010011=>7
[1,2,5,8,7,4,6,3]=>0000111=>7
[1,2,4,8,7,6,3,5]=>0000111=>7
[6,4,5,7,2,8,1,3]=>0000111=>7
[5,3,4,7,2,8,1,6]=>0001011=>7
[3,2,7,4,6,8,1,5]=>0100011=>7
[5,3,6,2,7,1,4,8]=>0001110=>7
[2,6,3,4,7,1,5,8]=>0000110=>7
[2,7,3,4,5,8,1,6]=>0000011=>7
[3,7,4,5,6,8,1,2]=>0000011=>7
[2,5,7,3,6,8,1,4]=>0000011=>7
[4,7,6,2,3,8,1,5]=>0000111=>7
[7,3,5,2,4,8,1,6]=>0001011=>7
[7,6,2,4,5,8,1,3]=>0000111=>7
[6,5,2,3,4,8,1,7]=>0001101=>7
[5,3,1,2,8,4,7,6]=>0101011=>7
[6,5,2,3,7,1,4,8]=>0001110=>7
[5,2,1,7,3,4,6,8]=>1001010=>7
[5,2,1,8,3,4,6,7]=>1001001=>7
[6,3,2,8,4,5,7,1]=>0100111=>7
[7,3,1,2,8,4,6,5]=>0100111=>7
[6,4,1,3,8,5,7,2]=>0010111=>7
[6,2,3,1,8,4,7,5]=>0100111=>7
[8,3,5,2,7,1,4,6]=>0001011=>7
[8,6,2,4,7,1,5,3]=>0001111=>7
[8,5,2,3,6,1,4,7]=>0001101=>7
[8,2,1,7,3,4,5,6]=>1000011=>7
[8,6,3,7,2,4,5,1]=>0001111=>7
[7,1,6,2,3,4,5,8]=>0000110=>7
[8,2,7,3,4,5,6,1]=>0000111=>7
[8,1,6,2,3,4,5,7]=>0000101=>7
[8,1,7,3,4,5,6,2]=>0000111=>7
[8,6,1,7,2,4,5,3]=>0001111=>7
[8,1,5,7,2,3,6,4]=>0000111=>7
[1,7,5,8,2,3,6,4]=>0000111=>7
[7,2,1,8,3,4,5,6]=>1000011=>7
[7,3,8,2,4,5,6,1]=>0000111=>7
[7,2,8,3,4,5,6,1]=>0000111=>7
[1,7,8,3,4,5,6,2]=>0000101=>7
[1,4,5,8,3,6,7,2]=>0000011=>7
[2,5,7,1,8,3,6,4]=>0000111=>7
[6,2,7,1,8,4,5,3]=>0001111=>7
[4,7,1,3,8,5,6,2]=>0000111=>7
[1,6,2,8,4,5,7,3]=>0000111=>7
[4,1,3,6,8,2,7,5]=>0010011=>7
[5,3,4,6,8,2,7,1]=>0001011=>7
[4,6,3,8,7,1,2,5]=>0000111=>7
[6,4,5,8,7,1,2,3]=>0000111=>7
[5,3,4,8,7,1,2,6]=>0001011=>7
[3,2,8,7,1,4,6,5]=>0100111=>7
[3,1,8,7,2,4,6,5]=>0100111=>7
[5,3,7,6,1,2,4,8]=>0001110=>7
[1,8,3,7,2,4,5,6]=>0000011=>7
[3,8,1,7,2,4,5,6]=>0000011=>7
[6,8,2,3,5,1,4,7]=>0001001=>7
[4,7,8,2,6,1,3,5]=>0000101=>7
[6,2,8,7,1,4,5,3]=>0001111=>7
[3,8,7,1,4,5,6,2]=>0000111=>7
[2,8,6,1,3,4,5,7]=>0000101=>7
[2,7,6,1,3,4,5,8]=>0000110=>7
[1,7,6,2,3,4,5,8]=>0000110=>7
[1,8,6,2,3,4,5,7]=>0000101=>7
[2,8,7,3,4,5,6,1]=>0000111=>7
[3,8,7,2,4,5,6,1]=>0000111=>7
[7,8,3,6,2,4,5,1]=>0001101=>7
[1,5,8,7,2,3,6,4]=>0000111=>7
[8,7,6,1,3,4,5,2]=>0001111=>7
[3,6,2,4,7,1,8,5]=>0000111=>7
[3,4,7,2,5,1,8,6]=>0001011=>7
[2,1,6,4,8,5,3,7]=>1001101=>7
[4,1,8,5,3,2,7,6]=>0111011=>7
[3,6,2,5,7,1,4,8]=>0000110=>7
[1,2,8,3,7,5,4,6]=>0001011=>7
[6,1,3,2,8,5,4,7]=>0101101=>7
[5,6,1,2,8,4,3,7]=>0010101=>7
[1,6,3,8,7,4,2,5]=>0010111=>7
[4,3,8,1,2,6,7,5]=>0010011=>7
[7,8,10,9,5,6,3,4,1,2]=>001010011=>9
[9,10,5,6,8,7,3,4,1,2]=>001001101=>9
[5,8,10,6,9,7,3,4,1,2]=>001001011=>9
[5,6,7,10,9,8,3,4,1,2]=>001000111=>9
[9,10,7,8,3,4,6,5,1,2]=>000110101=>9
[7,8,10,9,3,4,6,5,1,2]=>000110011=>9
[9,10,3,6,8,4,7,5,1,2]=>000101101=>9
[3,8,10,6,9,4,7,5,1,2]=>000101011=>9
[3,6,7,10,9,4,8,5,1,2]=>000100111=>9
[9,10,3,4,5,8,7,6,1,2]=>000011101=>9
[3,8,10,4,5,9,7,6,1,2]=>000011011=>9
[3,4,7,10,5,9,8,6,1,2]=>000010111=>9
[3,4,5,6,10,9,8,7,1,2]=>000001111=>9
[9,10,7,8,5,6,1,2,4,3]=>001010101=>9
[7,8,10,9,5,6,1,2,4,3]=>001010011=>9
[9,10,5,6,8,7,1,2,4,3]=>001001101=>9
[5,8,10,6,9,7,1,2,4,3]=>001001011=>9
[5,6,7,10,9,8,1,2,4,3]=>001000111=>9
[9,10,7,8,1,4,6,2,5,3]=>000110101=>9
[7,8,10,9,1,4,6,2,5,3]=>000110011=>9
[9,10,1,6,8,4,7,2,5,3]=>000101101=>9
[1,8,10,6,9,4,7,2,5,3]=>000101011=>9
[1,6,7,10,9,4,8,2,5,3]=>000100111=>9
[9,10,1,4,5,8,7,2,6,3]=>000011101=>9
[1,8,10,4,5,9,7,2,6,3]=>000011011=>9
[1,4,7,10,5,9,8,2,6,3]=>000010111=>9
[1,4,5,6,10,9,8,2,7,3]=>000001111=>9
[9,10,7,8,1,2,3,6,5,4]=>000110101=>9
[7,8,10,9,1,2,3,6,5,4]=>000110011=>9
[9,10,1,6,8,2,3,7,5,4]=>000101101=>9
[1,8,10,6,9,2,3,7,5,4]=>000101011=>9
[1,6,7,10,9,2,3,8,5,4]=>000100111=>9
[9,10,1,2,5,8,3,7,6,4]=>000011101=>9
[1,8,10,2,5,9,3,7,6,4]=>000011011=>9
[1,2,7,10,5,9,3,8,6,4]=>000010111=>9
[1,2,5,6,10,9,3,8,7,4]=>000001111=>9
[9,10,1,2,3,4,8,7,6,5]=>000011101=>9
[1,8,10,2,3,4,9,7,6,5]=>000011011=>9
[1,2,7,10,3,4,9,8,6,5]=>000010111=>9
[1,2,3,6,10,4,9,8,7,5]=>000001111=>9
[1,2,3,4,5,10,9,8,7,6]=>000001111=>9
[3,1,2,4,5,6,7,8,9]=>01000000=>8
[2,4,1,3,5,6,7,8,9]=>00100000=>8
[2,3,5,1,4,6,7,8,9]=>00010000=>8
[2,3,4,6,1,5,7,8,9]=>00001000=>8
[2,3,4,5,7,1,6,8,9]=>00000100=>8
[2,3,4,5,6,8,1,7,9]=>00000010=>8
[3,6,8,7,1,2,5,4]=>0001011=>7
[6,2,8,5,4,7,1,3]=>0001111=>7
[6,5,7,2,4,8,1,3]=>0000111=>7
[3,4,1,6,5,8,7,2]=>0010111=>7
[3,5,1,2,4,8,7,6]=>0001011=>7
[3,7,5,2,1,4,6,8]=>1001010=>7
[3,8,5,2,7,4,1,6]=>0011011=>7
[5,2,8,4,7,3,1,6]=>0101011=>7
[5,2,7,4,1,3,6,8]=>0011010=>7
[4,3,5,1,2,8,7,6]=>0011011=>7
[3,1,4,6,2,8,7,5]=>0100111=>7
[1,4,6,5,2,8,7,3]=>0001111=>7
[3,4,5,6,1,8,7,2]=>0000111=>7
[3,4,5,8,7,2,1,6]=>1000011=>7
[1,4,7,2,6,3,5,8]=>0000110=>7
[8,4,7,5,2,1,6,3]=>1001111=>7
[8,1,4,7,2,3,6,5]=>0000111=>7
[1,8,5,7,3,4,6,2]=>0000111=>7
[6,3,5,1,7,4,2,8]=>0011110=>7
[6,1,4,8,7,3,2,5]=>0100111=>7
[6,4,8,5,7,1,2,3]=>0000111=>7
[5,4,8,1,6,3,2,7]=>0101101=>7
[1,4,8,6,3,7,2,5]=>0000111=>7
[5,4,7,6,3,8,1,2]=>0001111=>7
[4,6,3,7,5,8,1,2]=>0000111=>7
[4,1,3,5,8,6,2,7]=>0010101=>7
[5,7,4,3,8,1,2,6]=>0010011=>7
[1,4,8,3,7,6,5,2]=>0001111=>7
[4,3,8,2,1,6,5,7]=>1010101=>7
[3,8,4,2,7,1,5,6]=>0010011=>7
[3,1,2,5,7,6,4,8]=>0100110=>7
[1,8,2,7,6,5,4,3]=>0011111=>7
[3,8,1,6,7,5,4,2]=>0011011=>7
[3,7,2,6,8,5,1,4]=>0001011=>7
[7,2,3,8,5,6,1,4]=>0000111=>7
[8,2,1,7,5,6,4,3]=>1010111=>7
[8,1,3,6,5,7,4,2]=>0010111=>7
[8,2,4,3,6,1,5,7]=>0010101=>7
[1,7,8,5,4,3,6,2]=>0011101=>7
[1,8,4,5,3,2,6,7]=>0101001=>7
[7,8,5,4,3,1,6,2]=>0111101=>7
[7,1,6,3,4,2,5,8]=>0010110=>7
[6,8,7,1,4,2,5,3]=>0011011=>7
[3,6,1,4,2,7,5,8]=>0010110=>7
[3,4,1,8,5,7,6,2]=>0010111=>7
[3,6,5,1,2,8,4,7]=>0001101=>7
[3,8,5,6,7,2,1,4]=>1000011=>7
[8,1,7,6,2,4,3,5]=>0010111=>7
[8,5,6,1,4,2,3,7]=>0010101=>7
[8,6,5,4,7,1,3,2]=>0101111=>7
[1,6,4,5,7,2,3,8]=>0000110=>7
[8,3,6,1,7,2,4,5]=>0000111=>7
[1,8,6,5,7,3,4,2]=>0010111=>7
[1,7,5,3,6,8,4,2]=>0011011=>7
[7,4,1,6,5,8,3,2]=>0110111=>7
[4,1,5,8,7,6,3,2]=>0110111=>7
[1,2,5,8,6,7,3,4]=>0000011=>7
[4,2,1,5,8,7,3,6]=>1010011=>7
[5,2,4,6,1,7,3,8]=>0001110=>7
[1,5,3,6,8,7,4,2]=>0011011=>7
[3,5,4,6,1,8,2,7]=>0001101=>7
[3,1,5,7,6,8,2,4]=>0100011=>7
[1,4,5,6,8,7,2,3]=>0000011=>7
[1,4,6,3,7,2,8,5]=>0000111=>7
[1,7,3,6,5,2,8,4]=>0001111=>7
[8,6,2,5,4,1,7,3]=>0011111=>7
[3,7,2,6,5,4,1,8]=>0011110=>7
[7,6,2,5,4,3,1,8]=>0111110=>7
[4,7,5,2,6,3,1,8]=>0101110=>7
[3,2,6,4,7,5,1,8]=>0101110=>7
[6,2,3,7,5,4,1,8]=>0011110=>7
[1,3,4,7,6,2,8,5]=>0000111=>7
[2,8,3,6,1,7,5,4]=>0001111=>7
[8,7,2,5,1,6,4,3]=>0011111=>7
[3,8,2,6,5,1,7,4]=>0001111=>7
[7,8,2,5,4,1,6,3]=>0011101=>7
[4,8,5,2,6,1,7,3]=>0001111=>7
[4,5,1,3,7,2,8,6]=>0001011=>7
[6,1,3,7,5,2,8,4]=>0001111=>7
[7,1,3,6,2,8,5,4]=>0001111=>7
[8,1,3,6,2,7,5,4]=>0001111=>7
[1,2,4,7,3,8,6,5]=>0000111=>7
[7,1,8,2,6,5,4,3]=>0011111=>7
[3,1,8,6,2,7,5,4]=>0101111=>7
[4,1,7,8,2,6,5,3]=>0011101=>7
[5,6,1,8,2,7,4,3]=>0010111=>7
[4,2,7,8,1,6,5,3]=>0011101=>7
[3,2,8,6,1,7,5,4]=>0101111=>7
[7,2,8,1,6,5,4,3]=>0011111=>7
[1,8,7,2,6,5,4,3]=>0011111=>7
[2,8,7,1,6,5,4,3]=>0011111=>7
[3,8,7,1,6,5,4,2]=>0011111=>7
[4,8,7,5,1,6,3,2]=>0101111=>7
[6,7,8,5,1,4,3,2]=>0111001=>7
[5,6,3,8,4,1,7,2]=>0010111=>7
[7,3,8,5,4,1,6,2]=>0011111=>7
[3,4,8,6,5,1,7,2]=>0001111=>7
[8,3,7,5,1,6,4,2]=>0011111=>7
[1,4,8,6,2,7,5,3]=>0001111=>7
[8,4,6,7,1,5,3,2]=>0101011=>7
[5,6,4,7,8,1,3,2]=>0100101=>7
[3,4,6,5,1,2,8,7]=>0001101=>7
[7,3,5,1,2,8,6,4]=>0001111=>7
[1,4,6,2,3,8,7,5]=>0000111=>7
[1,3,2,7,4,8,6,5]=>0100111=>7
[7,2,1,6,3,8,5,4]=>1001111=>7
[2,3,1,7,6,4,8,5]=>0100111=>7
[4,5,2,1,7,3,8,6]=>1001011=>7
[5,6,7,1,2,8,4,3]=>0010011=>7
[4,7,5,1,2,8,6,3]=>0001111=>7
[3,7,1,6,2,8,5,4]=>0001111=>7
[7,6,1,2,8,5,4,3]=>0011111=>7
[2,7,1,3,8,6,5,4]=>0001111=>7
[8,6,1,2,7,5,4,3]=>0011111=>7
[1,7,2,3,8,6,5,4]=>0001111=>7
[8,7,1,2,6,5,4,3]=>0011111=>7
[7,8,1,2,6,5,4,3]=>0011101=>7
[3,8,1,6,2,7,5,4]=>0001111=>7
[4,8,5,1,2,7,6,3]=>0001111=>7
[5,6,8,1,2,7,4,3]=>0010011=>7
[2,1,3,7,4,8,6,5]=>1000111=>7
[4,2,7,3,6,8,1,5]=>0010011=>7
[5,3,6,4,2,8,1,7]=>0011101=>7
[4,1,5,3,8,2,7,6]=>0011011=>7
[5,2,6,4,7,3,1,8]=>0101110=>7
[2,6,3,4,7,5,1,8]=>0001110=>7
[2,6,3,5,4,8,1,7]=>0001101=>7
[2,7,4,3,5,8,1,6]=>0010011=>7
[7,3,6,4,2,8,1,5]=>0010111=>7
[7,6,4,5,2,8,1,3]=>0001111=>7
[5,4,3,1,8,2,7,6]=>0111011=>7
[6,5,4,2,7,3,1,8]=>0111110=>7
[5,4,1,7,2,6,3,8]=>0011110=>7
[5,4,1,8,3,2,6,7]=>0111001=>7
[6,5,2,8,3,4,7,1]=>0001111=>7
[7,4,2,1,8,3,6,5]=>1010111=>7
[6,5,3,4,8,2,7,1]=>0001111=>7
[6,1,5,3,8,2,7,4]=>0001111=>7
[4,6,3,1,8,2,7,5]=>0100111=>7
[5,8,4,2,7,3,1,6]=>0110011=>7
[8,2,6,4,7,3,1,5]=>0100111=>7
[8,6,2,5,7,4,1,3]=>0010111=>7
[8,5,3,2,6,4,1,7]=>0111101=>7
[8,3,1,7,2,5,4,6]=>0101011=>7
[7,5,2,6,4,3,1,8]=>0111110=>7
[7,1,6,2,5,4,3,8]=>0011110=>7
[8,1,7,3,5,6,4,2]=>0010111=>7
[8,6,1,7,4,5,2,3]=>0001111=>7
[8,1,3,7,2,6,5,4]=>0001111=>7
[1,7,6,8,3,2,4,5]=>0100011=>7
[7,1,5,8,4,2,6,3]=>0010111=>7
[7,3,8,4,5,2,6,1]=>0001111=>7
[7,2,8,5,3,4,6,1]=>0001111=>7
[6,1,8,4,3,2,5,7]=>0110101=>7
[6,1,7,4,2,5,3,8]=>0011110=>7
[1,2,7,3,4,6,5,8]=>0000110=>7
[1,7,8,4,3,5,6,2]=>0010101=>7
[1,6,2,8,3,5,7,4]=>0000111=>7
[2,6,1,7,3,5,4,8]=>0001110=>7
[3,1,5,8,4,2,6,7]=>0110001=>7
[4,3,1,6,8,2,7,5]=>0110011=>7
[5,7,4,8,3,2,1,6]=>1100011=>7
[5,4,8,2,7,3,1,6]=>0101011=>7
[5,2,8,7,3,4,1,6]=>0011011=>7
[6,4,7,5,3,2,1,8]=>1101110=>7
[1,8,3,7,6,2,4,5]=>0000111=>7
[5,8,3,2,6,4,1,7]=>0110101=>7
[6,8,2,4,7,5,1,3]=>0001011=>7
[7,3,8,2,6,4,1,5]=>0010111=>7
[4,6,8,2,7,3,1,5]=>0100011=>7
[2,6,8,7,3,4,1,5]=>0010011=>7
[7,2,8,6,3,5,1,4]=>0001111=>7
[6,8,1,7,2,5,4,3]=>0011011=>7
[3,8,7,4,5,6,1,2]=>0000111=>7
[2,8,6,4,3,5,1,7]=>0011101=>7
[2,7,6,3,5,4,1,8]=>0011110=>7
[1,7,6,5,2,4,3,8]=>0011110=>7
[1,8,6,5,3,2,4,7]=>0101101=>7
[3,8,7,4,6,2,5,1]=>0001111=>7
[5,8,3,7,6,2,4,1]=>0010111=>7
[7,1,8,6,5,2,3,4]=>0001111=>7
[8,4,7,5,3,2,1,6]=>1101011=>7
[8,7,2,5,4,3,1,6]=>0111011=>7
[6,8,3,2,5,4,7,1]=>0101011=>7
[6,8,4,5,2,3,7,1]=>0001011=>7
[1,5,7,8,4,3,6,2]=>0010101=>7
[6,3,8,1,5,4,7,2]=>0001111=>7
[6,2,1,8,5,4,7,3]=>1001111=>7
[2,6,3,1,7,5,4,8]=>0101110=>7
[2,6,5,7,4,1,3,8]=>0010110=>7
[2,5,6,8,4,3,7,1]=>0010011=>7
[2,4,7,5,8,1,6,3]=>0000111=>7
[2,5,4,7,1,8,6,3]=>0001111=>7
[5,2,1,8,7,6,4,3]=>1011111=>7
[4,8,5,7,6,1,3,2]=>0100111=>7
[4,8,6,7,5,3,1,2]=>0101011=>7
[4,8,7,5,6,2,3,1]=>0100111=>7
[6,5,4,8,2,1,7,3]=>1001111=>7
[5,8,4,7,2,6,3,1]=>0100111=>7
[1,5,7,4,8,2,6,3]=>0000111=>7
[1,5,7,3,2,8,6,4]=>0100111=>7
[5,8,3,2,7,6,4,1]=>0110111=>7
[5,2,1,4,3,6,7,8]=>1011000=>7
[3,5,7,4,2,6,1,8]=>0010110=>7
[3,6,4,5,1,2,7,8]=>0001100=>7
[4,2,1,6,5,3,7,8]=>1011100=>7
[4,2,1,5,7,6,3,8]=>1010110=>7
[4,3,5,1,7,6,2,8]=>0011110=>7
[3,5,4,7,1,6,2,8]=>0001110=>7
[3,4,7,5,6,1,2,8]=>0000110=>7
[3,4,5,8,6,7,1,2]=>0000011=>7
[3,5,4,6,1,8,7,2]=>0001111=>7
[4,3,5,1,6,8,7,2]=>0011011=>7
[4,2,1,5,6,8,7,3]=>1010011=>7
[4,3,2,1,7,6,5,9,8,10]=>111011010=>9
[7,3,2,1,6,5,4,9,8,10]=>110111010=>9
[4,3,2,1,9,6,5,8,7,10]=>111010110=>9
[6,3,2,1,9,5,4,8,7,10]=>110110110=>3
[9,3,2,1,8,5,4,7,6,10]=>110101110=>9
[6,5,2,1,9,4,3,8,7,10]=>101110110=>9
[9,5,2,1,8,4,3,7,6,10]=>101101110=>9
[4,3,2,1,7,6,5,10,8,9]=>111011001=>9
[7,3,2,1,6,5,4,10,8,9]=>110111001=>9
[4,3,2,1,8,6,5,10,7,9]=>111010101=>9
[6,3,2,1,8,5,4,10,7,9]=>110110101=>9
[8,3,2,1,7,5,4,10,6,9]=>110101101=>9
[6,5,2,1,8,4,3,10,7,9]=>101110101=>9
[8,5,2,1,7,4,3,10,6,9]=>101101101=>3
[4,3,2,1,10,6,5,9,7,8]=>111010011=>9
[6,3,2,1,10,5,4,9,7,8]=>110110011=>9
[7,3,2,1,10,5,4,9,6,8]=>110101011=>9
[10,3,2,1,9,5,4,8,6,7]=>110100111=>9
[6,5,2,1,10,4,3,9,7,8]=>101110011=>9
[7,5,2,1,10,4,3,9,6,8]=>101101011=>9
[10,5,2,1,9,4,3,8,6,7]=>101100111=>9
[4,3,2,1,8,7,5,10,6,9]=>111001101=>9
[5,3,2,1,8,7,4,10,6,9]=>110101101=>9
[8,3,2,1,7,6,4,10,5,9]=>110011101=>9
[5,4,2,1,8,7,3,10,6,9]=>101101101=>3
[8,4,2,1,7,6,3,10,5,9]=>101011101=>9
[4,3,2,1,10,7,5,9,6,8]=>111001011=>9
[5,3,2,1,10,7,4,9,6,8]=>110101011=>9
[7,3,2,1,10,6,4,9,5,8]=>110011011=>9
[10,3,2,1,9,6,4,8,5,7]=>110010111=>9
[5,4,2,1,10,7,3,9,6,8]=>101101011=>9
[7,4,2,1,10,6,3,9,5,8]=>101011011=>9
[10,4,2,1,9,6,3,8,5,7]=>101010111=>9
[7,6,2,1,10,5,3,9,4,8]=>100111011=>9
[10,6,2,1,9,5,3,8,4,7]=>100110111=>9
[5,4,3,1,8,7,2,10,6,9]=>011101101=>9
[8,4,3,1,7,6,2,10,5,9]=>011011101=>9
[5,4,3,1,10,7,2,9,6,8]=>011101011=>9
[7,4,3,1,10,6,2,9,5,8]=>011011011=>3
[10,4,3,1,9,6,2,8,5,7]=>011010111=>9
[7,6,3,1,10,5,2,9,4,8]=>010111011=>9
[10,6,3,1,9,5,2,8,4,7]=>010110111=>9
[2,1,4,3,6,5,10,9,7,8]=>101010011=>9
[2,1,4,3,8,7,5,6,10,9]=>101001101=>9
[2,1,4,3,10,7,5,9,6,8]=>101001011=>9
[2,1,4,3,10,9,8,5,6,7]=>101000111=>9
[2,1,6,5,3,4,8,7,10,9]=>100110101=>9
[2,1,6,5,3,4,10,9,7,8]=>100110011=>9
[2,1,8,5,3,7,4,6,10,9]=>100101101=>9
[2,1,10,5,3,7,4,9,6,8]=>100101011=>9
[2,1,10,5,3,9,8,4,6,7]=>100100111=>9
[2,1,8,7,6,3,4,5,10,9]=>100011101=>9
[2,1,10,7,6,3,4,9,5,8]=>100011011=>9
[2,1,10,9,6,3,8,4,5,7]=>100010111=>9
[2,1,10,9,8,7,3,4,5,6]=>100001111=>9
[4,3,1,2,6,5,8,7,10,9]=>011010101=>9
[4,3,1,2,6,5,10,9,7,8]=>011010011=>9
[4,3,1,2,8,7,5,6,10,9]=>011001101=>9
[4,3,1,2,10,7,5,9,6,8]=>011001011=>9
[4,3,1,2,10,9,8,5,6,7]=>011000111=>9
[6,3,1,5,2,4,8,7,10,9]=>010110101=>9
[6,3,1,5,2,4,10,9,7,8]=>010110011=>9
[8,3,1,5,2,7,4,6,10,9]=>010101101=>9
[10,3,1,5,2,7,4,9,6,8]=>010101011=>9
[10,3,1,5,2,9,8,4,6,7]=>010100111=>9
[8,3,1,7,6,2,4,5,10,9]=>010011101=>9
[10,3,1,7,6,2,4,9,5,8]=>010011011=>9
[10,3,1,9,6,2,8,4,5,7]=>010010111=>9
[10,3,1,9,8,7,2,4,5,6]=>010001111=>9
[6,5,4,1,2,3,8,7,10,9]=>001110101=>9
[6,5,4,1,2,3,10,9,7,8]=>001110011=>9
[8,5,4,1,2,7,3,6,10,9]=>001101101=>9
[10,5,4,1,2,7,3,9,6,8]=>001101011=>9
[10,5,4,1,2,9,8,3,6,7]=>001100111=>9
[8,7,4,1,6,2,3,5,10,9]=>001011101=>9
[10,7,4,1,6,2,3,9,5,8]=>001011011=>9
[10,9,4,1,6,2,8,3,5,7]=>001010111=>9
[10,9,4,1,8,7,2,3,5,6]=>001001111=>9
[8,7,6,5,1,2,3,4,10,9]=>000111101=>9
[10,7,6,5,1,2,3,9,4,8]=>000111011=>9
[10,9,6,5,1,2,8,3,4,7]=>000110111=>9
[10,9,8,5,1,7,2,3,4,6]=>000101111=>9
[7,6,5,4,3,2,9,1,8]=>01111101=>8
[6,5,4,3,9,2,8,1,7]=>00111011=>8
[6,5,4,3,2,8,1,7,9]=>01111010=>8
[5,4,9,3,8,2,7,1,6]=>00010111=>8
[5,4,3,8,2,7,1,6,9]=>00110110=>8
[5,4,3,2,7,9,1,6,8]=>01110001=>8
[5,4,3,2,7,1,6,8,9]=>01110100=>8
[4,8,3,7,2,6,1,5,9]=>00001110=>8
[4,3,7,2,6,9,1,5,8]=>00100101=>8
[4,3,7,2,6,1,5,8,9]=>00101100=>8
[4,3,2,6,8,1,5,7,9]=>01100010=>8
[4,3,2,6,1,5,7,8,9]=>01101000=>8
[3,6,9,2,5,8,1,4,7]=>00000011=>8
[3,6,2,5,8,1,4,7,9]=>00001010=>8
[3,6,2,5,1,4,7,8,9]=>00011000=>8
[3,2,5,7,9,1,4,6,8]=>01000001=>8
[3,2,5,7,1,4,6,8,9]=>01000100=>4
[3,2,5,1,4,6,7,8,9]=>01010000=>8
[2,4,6,8,1,3,5,7,9]=>00000010=>8
[2,4,6,1,3,5,7,8,9]=>00001000=>8
[8,7,6,5,4,3,2,10,1,9]=>011111101=>9
[7,6,5,4,3,10,2,9,1,8]=>001111011=>9
[7,6,5,4,3,2,9,1,8,10]=>011111010=>9
[6,5,4,10,3,9,2,8,1,7]=>000110111=>9
[6,5,4,3,9,2,8,1,7,10]=>001110110=>9
[6,5,4,3,2,8,10,1,7,9]=>011110001=>9
[6,5,4,3,2,8,1,7,9,10]=>011110100=>9
[5,10,4,9,3,8,2,7,1,6]=>000001111=>9
[5,4,9,3,8,2,7,1,6,10]=>000101110=>9
[5,4,3,8,2,7,10,1,6,9]=>001100101=>9
[5,4,3,8,2,7,1,6,9,10]=>001101100=>9
[5,4,3,2,7,9,1,6,8,10]=>011100010=>9
[5,4,3,2,7,1,6,8,9,10]=>011101000=>9
[4,8,3,7,2,6,10,1,5,9]=>000001101=>9
[4,8,3,7,2,6,1,5,9,10]=>000011100=>9
[4,3,7,10,2,6,9,1,5,8]=>001000011=>9
[4,3,7,2,6,9,1,5,8,10]=>001001010=>9
[4,3,7,2,6,1,5,8,9,10]=>001011000=>9
[4,3,2,6,8,10,1,5,7,9]=>011000001=>9
[4,3,2,6,8,1,5,7,9,10]=>011000100=>9
[4,3,2,6,1,5,7,8,9,10]=>011010000=>9
[3,6,9,2,5,8,1,4,7,10]=>000000110=>9
[3,6,2,5,8,10,1,4,7,9]=>000010001=>9
[3,6,2,5,8,1,4,7,9,10]=>000010100=>9
[3,6,2,5,1,4,7,8,9,10]=>000110000=>9
[3,2,5,7,9,1,4,6,8,10]=>010000010=>9
[3,2,5,7,1,4,6,8,9,10]=>010001000=>9
[3,2,5,1,4,6,7,8,9,10]=>010100000=>9
[2,4,6,8,1,3,5,7,9,10]=>000000100=>9
[2,4,6,1,3,5,7,8,9,10]=>000010000=>9
[2,4,1,3,5,6,7,8,9,10]=>001000000=>9
[2,1,7,3,8,4,6,5]=>1000111=>7
[4,1,7,2,8,3,6,5]=>0010111=>7
[7,1,8,2,4,3,6,5]=>0010111=>7
[7,1,5,2,8,3,6,4]=>0001111=>7
[5,1,7,2,8,3,6,4]=>0001111=>7
[8,1,6,2,5,3,7,4]=>0001111=>7
[6,1,7,2,8,3,5,4]=>0001111=>7
[5,1,6,2,4,3,8,7]=>0011101=>7
[1,8,2,7,5,4,6,3]=>0001111=>7
[1,8,2,7,4,3,5,6]=>0010011=>7
[1,8,6,4,7,2,3,5]=>0000111=>7
[1,8,4,2,6,3,5,7]=>0010101=>7
[7,4,8,1,5,2,3,6]=>0001011=>7
[4,1,7,2,6,3,5,8]=>0010110=>7
[5,1,7,4,3,6,2,8]=>0011110=>7
[7,5,8,3,2,4,1,6]=>0110011=>7
[1,8,5,4,3,6,2,7]=>0011101=>7
[1,8,5,4,3,7,2,6]=>0011011=>7
[1,8,5,4,7,2,6,3]=>0001111=>7
[1,8,4,2,5,3,7,6]=>0011011=>7
[1,8,5,4,2,6,7,3]=>0011011=>7
[7,4,8,2,1,3,5,6]=>1000011=>7
[4,1,7,3,2,5,6,8]=>0110010=>7
[7,5,4,8,2,3,6,1]=>0001111=>7
[6,4,8,2,1,3,7,5]=>1000111=>7
[7,3,8,1,5,6,2,4]=>0000111=>7
[3,1,7,2,6,8,4,5]=>0100011=>7
[5,1,7,4,2,6,8,3]=>0011011=>7
[4,1,6,3,2,5,8,7]=>0110101=>7
[5,4,3,7,1,2,8,6]=>0011011=>7
[4,3,1,6,2,5,7,8]=>0110100=>7
[6,5,4,3,7,1,8,2]=>0011111=>7
[5,4,2,7,1,6,8,3]=>0011011=>7
[6,5,1,7,3,8,2,4]=>0001111=>7
[6,3,2,8,5,7,1,4]=>0100111=>7
[6,5,4,2,8,3,7,1]=>0011111=>7
[6,5,4,3,8,2,7,1]=>0011111=>7
[6,5,4,3,8,7,1,2]=>0011111=>7
[7,5,4,8,6,1,3,2]=>0101111=>7
[7,6,3,8,5,4,1,2]=>0011111=>7
[6,3,8,1,7,5,2,4]=>0001111=>7
[6,5,8,3,1,7,4,2]=>0110111=>7
[5,4,8,2,1,7,3,6]=>1001011=>7
[5,4,3,8,1,6,2,7]=>0011101=>7
[5,4,3,7,1,6,2,8]=>0011110=>7
[6,4,2,8,5,1,3,7]=>0011101=>7
[7,6,4,8,5,1,2,3]=>0001111=>7
[7,2,8,6,3,1,4,5]=>0100111=>7
[7,2,8,6,1,5,3,4]=>0001111=>7
[2,1,7,8,3,6,4,5]=>1000101=>7
[6,4,1,7,8,2,3,5]=>0010101=>7
[4,2,1,6,7,3,5,8]=>1010010=>7
[4,3,1,5,2,7,6,8]=>0111010=>7
[5,4,2,7,3,8,1,6]=>0011011=>7
[4,1,5,3,2,8,6,7]=>0111001=>7
[3,1,6,2,8,7,4,5]=>0100111=>7
[6,3,1,7,8,5,2,4]=>0101101=>7
[5,4,1,7,8,2,6,3]=>0011101=>7
[5,4,2,6,1,8,7,3]=>0011111=>7
[6,5,4,1,7,8,3,2]=>0111101=>7
[5,4,3,1,6,7,2,8]=>0111010=>7
[6,5,4,2,7,8,3,1]=>0111101=>7
[5,4,2,6,3,8,7,1]=>0011111=>7
[4,3,1,5,2,6,8,7]=>0111001=>7
[5,4,2,1,6,7,8,3]=>1011001=>7
[5,4,3,1,6,7,8,2]=>0111001=>7
[6,3,8,1,2,5,7,4]=>0000111=>7
[3,6,7,1,2,5,8,4]=>0000011=>7
[7,8,3,1,2,5,6,4]=>0100101=>7
[7,8,1,3,2,4,6,5]=>0100101=>7
[7,8,2,1,3,5,4,6]=>1001001=>7
[5,2,3,7,1,8,6,4]=>0001111=>7
[2,5,3,6,1,8,7,4]=>0001111=>7
[2,6,7,3,1,8,4,5]=>0100011=>7
[2,6,7,1,3,5,4,8]=>0001010=>7
[6,2,8,3,1,7,4,5]=>0100111=>7
[3,2,5,7,1,8,4,6]=>0100011=>7
[4,3,1,2,7,8,6,5]=>0110101=>7
[5,1,2,7,3,6,4,8]=>0001110=>7
[5,1,4,7,8,2,3,6]=>0001001=>7
[5,3,4,7,8,6,1,2]=>0001101=>7
[3,5,4,6,8,7,1,2]=>0001011=>7
[1,5,4,6,8,2,3,7]=>0001001=>7
[1,6,7,3,2,4,8,5]=>0100011=>7
[1,5,3,6,2,7,8,4]=>0001101=>7
[5,1,3,7,2,6,8,4]=>0001011=>7
[5,2,4,7,8,1,6,3]=>0001101=>7
[4,2,5,7,6,1,8,3]=>0010111=>7
[4,5,2,8,6,1,7,3]=>0001111=>7
[5,3,1,8,2,6,7,4]=>0101011=>7
[6,1,8,3,2,4,7,5]=>0100111=>7
[4,3,5,7,6,8,1,2]=>0010011=>7
[4,1,5,7,6,2,3,8]=>0010110=>7
[4,5,1,8,6,2,3,7]=>0001101=>7
[5,2,1,8,3,6,4,7]=>1001101=>7
[3,4,2,1,8,7,5,6]=>1010011=>7
[7,6,5,4,2,1,8,3]=>1011111=>7
[7,6,5,4,8,1,3,2]=>0101111=>7
[8,7,6,5,4,2,1,9,3]=>10111111=>8
[7,6,5,8,2,1,4,3]=>1010111=>7
[8,7,6,5,3,2,1,9,4]=>11011111=>8
[8,7,6,4,3,2,1,9,5]=>11101111=>8
[8,7,5,4,3,2,1,9,6]=>11110111=>8
[8,5,4,3,2,1,7,6]=>1111011=>7
[8,6,5,4,3,2,1,9,7]=>11111011=>8
[7,6,5,4,3,2,1,9,8]=>11111101=>8
[7,6,5,4,1,8,3,2]=>0111111=>7
[8,7,6,5,4,9,1,3,2]=>01011111=>8
[9,8,7,6,5,4,2,1,10,3]=>101111111=>9
[7,6,5,2,8,1,4,3]=>0011111=>7
[8,7,6,5,9,2,1,4,3]=>10101111=>8
[9,8,7,6,5,3,2,1,10,4]=>110111111=>9
[7,6,5,8,4,1,3,2]=>0110111=>7
[8,7,6,9,3,2,1,5,4]=>11010111=>8
[9,8,7,6,4,3,2,1,10,5]=>111011111=>9
[7,6,8,5,2,1,4,3]=>1011011=>7
[8,7,9,4,3,2,1,6,5]=>11101011=>8
[9,8,7,5,4,3,2,1,10,6]=>111101111=>9
[7,8,6,3,2,1,5,4]=>1101101=>7
[8,9,5,4,3,2,1,7,6]=>11110101=>8
[9,8,6,5,4,3,2,1,10,7]=>111110111=>9
[8,7,4,3,2,1,6,5]=>1110111=>7
[9,6,5,4,3,2,1,8,7]=>11111011=>8
[9,7,6,5,4,3,2,1,10,8]=>111111011=>9
[7,8,9,10,4,5,6,2,3,1]=>010010001=>9
[7,8,9,4,5,6,10,2,3,1]=>010000011=>9
[7,8,9,10,4,5,2,3,6,1]=>000110001=>9
[7,8,9,4,5,10,2,3,6,1]=>000010011=>9
[7,8,9,4,5,2,3,6,10,1]=>000100011=>9
[7,8,4,5,9,10,2,3,6,1]=>000010101=>9
[7,8,4,5,9,2,3,6,10,1]=>000000111=>9
[7,8,9,10,4,5,6,2,1,3]=>100010001=>9
[7,8,9,4,5,6,10,2,1,3]=>100000011=>9
[7,8,9,10,4,5,2,6,1,3]=>000110001=>9
[7,8,9,4,5,10,2,6,1,3]=>000010011=>9
[7,8,9,4,5,2,6,10,1,3]=>000100011=>9
[7,8,4,5,9,10,2,6,1,3]=>000010101=>9
[7,8,4,5,9,2,6,10,1,3]=>000000111=>9
[7,8,9,10,4,5,2,1,3,6]=>100100001=>9
[7,8,9,4,5,10,2,1,3,6]=>100000011=>9
[7,8,9,4,5,2,10,1,3,6]=>000100011=>9
[7,8,9,4,5,2,1,3,6,10]=>100100010=>9
[7,8,4,5,9,10,2,1,3,6]=>100000101=>9
[7,8,4,5,9,2,10,1,3,6]=>000000111=>9
[7,8,4,5,9,2,1,3,6,10]=>100000110=>9
[7,8,9,10,4,2,5,6,1,3]=>001010001=>9
[7,8,9,4,10,2,5,6,1,3]=>000010011=>9
[7,8,9,4,2,5,6,10,1,3]=>001000011=>9
[7,8,4,9,10,2,5,6,1,3]=>000010101=>9
[7,8,4,9,2,5,6,10,1,3]=>000000111=>9
[7,8,9,10,4,2,5,1,3,6]=>001100001=>9
[7,8,9,4,10,2,5,1,3,6]=>000100011=>9
[7,8,9,4,2,5,10,1,3,6]=>001000011=>9
[7,8,9,4,2,5,1,3,6,10]=>001100010=>9
[7,8,4,9,10,2,5,1,3,6]=>000100101=>9
[7,8,4,9,2,5,10,1,3,6]=>000000111=>9
[7,8,4,9,2,5,1,3,6,10]=>000100110=>9
[7,8,4,2,5,9,10,1,3,6]=>001000101=>9
[7,8,4,2,5,9,1,3,6,10]=>001000110=>9
[7,4,8,9,10,2,5,6,1,3]=>000011001=>9
[7,4,8,9,2,5,6,10,1,3]=>000001011=>9
[7,4,8,9,10,2,5,1,3,6]=>000101001=>9
[7,4,8,9,2,5,10,1,3,6]=>000001011=>9
[7,4,8,9,2,5,1,3,6,10]=>000101010=>9
[7,4,8,2,5,9,10,1,3,6]=>000001101=>9
[7,8,2,4,5,1,3,6]=>0001001=>7
[4,6,7,2,5,1,3,8]=>0001010=>7
[7,8,1,3,2,4,5,6]=>0100001=>7
[7,8,4,1,5,2,3,6]=>0011001=>7
[3,6,7,2,1,4,5,8]=>1000010=>7
[5,2,3,6,1,4,7,8]=>0001100=>7
[2,5,3,6,1,4,7,8]=>0001100=>7
[2,6,7,3,1,4,5,8]=>0100010=>7
[4,6,7,1,5,2,3,8]=>0001010=>7
[4,6,7,3,5,8,1,2]=>0000011=>7
[6,4,7,1,5,2,3,8]=>0001110=>7
[6,2,7,3,1,4,5,8]=>0100110=>7
[3,2,5,6,1,4,7,8]=>0100100=>7
[3,5,2,6,1,4,7,8]=>0001100=>7
[5,1,4,6,7,2,3,8]=>0001010=>7
[3,5,4,6,7,8,1,2]=>0001001=>7
[1,5,4,6,7,2,3,8]=>0001010=>7
[1,6,7,3,2,4,5,8]=>0100010=>7
[1,5,3,6,2,4,7,8]=>0001100=>7
[5,1,3,6,2,4,7,8]=>0001100=>7
[5,2,4,6,7,1,3,8]=>0001010=>7
[2,5,4,6,7,1,3,8]=>0001010=>7
[2,6,7,4,5,1,3,8]=>0001010=>7
[6,2,7,4,5,1,3,8]=>0001110=>7
[4,2,5,6,7,1,3,8]=>0010010=>7
[4,5,2,6,7,1,3,8]=>0001010=>7
[5,3,1,6,2,4,7,8]=>0101100=>7
[6,1,7,3,2,4,5,8]=>0100110=>7
[6,1,7,4,5,2,3,8]=>0001110=>7
[6,3,7,4,5,8,1,2]=>0000111=>7
[5,4,1,6,7,2,3,8]=>0011010=>7
[5,2,1,6,3,4,7,8]=>1001100=>7
[7,3,2,5,4,1,6,8]=>0111010=>7
[7,3,5,4,2,1,6,8]=>1011010=>7
[7,3,5,2,4,1,6,8]=>0011010=>7
[7,6,5,2,1,4,3,8]=>1011110=>7
[1,3,6,7,5,2,8,4]=>0001011=>7
[7,3,4,1,6,2,5,8]=>0010110=>7
[7,3,4,1,6,5,2,8]=>0011110=>7
[7,3,4,1,5,6,2,8]=>0010110=>7
[7,3,2,5,1,6,4,8]=>0101110=>7
[7,6,5,4,1,3,2,8]=>0111110=>7
[7,3,4,1,5,2,6,8]=>0011010=>7
[1,3,6,7,2,5,8,4]=>0000011=>7
[1,7,4,6,2,8,5,3]=>0001111=>7
[4,3,1,7,2,6,8,5]=>0110011=>7
[5,6,1,4,7,3,8,2]=>0000111=>7
[5,3,2,1,7,4,8,6]=>1101011=>7
[1,3,4,5,8,7,2,6]=>0000011=>7
[6,3,4,5,8,1,7,2]=>0000111=>7
[2,4,5,1,6,8,7,3]=>0001011=>7
[3,1,2,5,6,8,7,4]=>0100011=>7
[4,3,2,5,6,8,1,7]=>0110001=>7
[3,7,5,4,6,8,1,2]=>0001011=>7
[3,1,4,6,5,8,2,7]=>0100101=>7
[2,3,4,5,8,6,1,7]=>0000101=>7
[2,3,4,5,8,1,7,6]=>0000011=>7
[3,1,4,6,5,8,7,2]=>0100111=>7
[3,7,5,4,6,8,2,1]=>1001011=>7
[5,6,1,4,7,2,8,3]=>0000111=>7
[4,3,1,7,5,6,8,2]=>0110011=>7
[4,3,1,7,6,5,8,2]=>0110111=>7
[3,1,4,6,7,8,5,2]=>0101001=>7
[1,4,5,2,6,8,7,3]=>0001011=>7
[3,7,5,2,6,8,1,4]=>0001011=>7
[3,7,5,2,6,8,4,1]=>0011011=>7
[5,6,1,2,7,4,8,3]=>0000111=>7
[6,3,5,2,4,7,8,1]=>0001101=>7
[5,3,2,1,4,7,8,6]=>1101001=>7
[5,3,1,4,2,7,8,6]=>0111001=>7
[5,3,1,2,4,7,8,6]=>0101001=>7
[7,1,5,2,6,8,4,3]=>0011011=>7
[7,1,5,2,6,8,3,4]=>0001011=>7
[1,7,4,6,5,8,3,2]=>0100111=>7
[2,7,4,6,1,8,3,5]=>0000111=>7
[2,7,4,6,1,8,5,3]=>0001111=>7
[2,3,6,7,1,5,8,4]=>0000011=>7
[2,3,6,7,5,1,8,4]=>0001011=>7
[4,3,2,6,7,1,8,5]=>0110011=>7
[7,3,2,5,6,8,1,4]=>0100011=>7
[7,1,5,4,6,8,2,3]=>0001011=>7
[2,7,4,6,5,8,1,3]=>0000111=>7
[7,3,4,5,8,6,1,2]=>0000111=>7
[7,3,4,5,8,1,6,2]=>0000111=>7
[7,3,4,5,8,1,2,6]=>0000011=>7
[1,3,4,5,8,6,2,7]=>0000101=>7
[1,3,4,5,8,2,7,6]=>0000011=>7
[6,3,4,5,8,2,1,7]=>1000101=>7
[6,3,4,5,8,2,7,1]=>0000111=>7
[7,3,4,5,8,6,2,1]=>1000111=>7
[2,7,4,6,5,8,3,1]=>0100111=>7
[7,1,5,4,6,8,3,2]=>0101011=>7
[7,3,2,5,6,8,4,1]=>0110011=>7
[5,7,4,6,1,8,3,2]=>0100111=>7
[6,3,4,5,8,1,2,7]=>0000101=>7
[7,3,4,5,8,2,1,6]=>1000011=>7
[7,3,4,5,8,2,6,1]=>0000111=>7
[4,7,6,1,8,2,5,3]=>0001111=>7
[4,8,6,1,7,5,2,3]=>0001111=>7
[4,7,8,2,6,1,5,3]=>0001101=>7
[7,6,4,2,8,3,5,1]=>0011111=>7
[8,6,4,2,7,5,3,1]=>0111111=>7
[8,4,7,3,6,5,1,2]=>0001111=>7
[8,4,6,1,7,5,3,2]=>0101111=>7
[6,4,7,1,8,3,2,5]=>0100111=>7
[7,4,8,3,6,1,5,2]=>0001111=>7
[7,8,4,3,6,2,5,1]=>0011101=>7
[8,10,7,9,5,6,3,4,1,2]=>001010011=>9
[9,10,6,8,5,7,3,4,1,2]=>001001101=>9
[8,10,6,9,5,7,3,4,1,2]=>001001011=>9
[7,10,6,9,5,8,3,4,1,2]=>001000111=>9
[9,10,7,8,4,6,3,5,1,2]=>000110101=>9
[8,10,7,9,4,6,3,5,1,2]=>000110011=>9
[9,10,6,8,4,7,3,5,1,2]=>000101101=>9
[8,10,6,9,4,7,3,5,1,2]=>000101011=>9
[7,10,6,9,4,8,3,5,1,2]=>000100111=>9
[9,10,5,8,4,7,3,6,1,2]=>000011101=>9
[8,10,5,9,4,7,3,6,1,2]=>000011011=>9
[7,10,5,9,4,8,3,6,1,2]=>000010111=>9
[6,10,5,9,4,8,3,7,1,2]=>000001111=>9
[9,10,7,8,5,6,2,4,1,3]=>001010101=>9
[8,10,7,9,5,6,2,4,1,3]=>001010011=>9
[9,10,6,8,5,7,2,4,1,3]=>001001101=>9
[8,10,6,9,5,7,2,4,1,3]=>001001011=>9
[7,10,6,9,5,8,2,4,1,3]=>001000111=>9
[9,10,7,8,4,6,2,5,1,3]=>000110101=>9
[8,10,7,9,4,6,2,5,1,3]=>000110011=>9
[9,10,6,8,4,7,2,5,1,3]=>000101101=>9
[8,10,6,9,4,7,2,5,1,3]=>000101011=>9
[7,10,6,9,4,8,2,5,1,3]=>000100111=>9
[9,10,5,8,4,7,2,6,1,3]=>000011101=>9
[8,10,5,9,4,7,2,6,1,3]=>000011011=>9
[7,10,5,9,4,8,2,6,1,3]=>000010111=>9
[6,10,5,9,4,8,2,7,1,3]=>000001111=>9
[9,10,7,8,3,6,2,5,1,4]=>000110101=>9
[8,10,7,9,3,6,2,5,1,4]=>000110011=>9
[9,10,6,8,3,7,2,5,1,4]=>000101101=>9
[8,10,6,9,3,7,2,5,1,4]=>000101011=>9
[7,10,6,9,3,8,2,5,1,4]=>000100111=>9
[9,10,5,8,3,7,2,6,1,4]=>000011101=>9
[8,10,5,9,3,7,2,6,1,4]=>000011011=>9
[7,10,5,9,3,8,2,6,1,4]=>000010111=>9
[6,10,5,9,3,8,2,7,1,4]=>000001111=>9
[9,10,4,8,3,7,2,6,1,5]=>000011101=>9
[8,10,4,9,3,7,2,6,1,5]=>000011011=>9
[7,10,4,9,3,8,2,6,1,5]=>000010111=>9
[6,10,4,9,3,8,2,7,1,5]=>000001111=>9
[6,2,1,7,3,5,4,8]=>1001110=>7
[2,1,8,6,3,5,4,7]=>1001101=>7
[2,1,7,3,5,8,6,4]=>1000111=>7
[2,7,3,1,5,4,6,8]=>0101010=>7
[2,6,3,1,4,8,5,7]=>0100101=>7
[4,2,1,8,3,6,7,5]=>1010011=>7
[2,1,8,6,3,5,7,4]=>1000111=>7
[6,2,1,7,3,5,8,4]=>1000111=>7
[2,7,3,1,4,8,5,6]=>0100011=>7
[3,2,1,6,4,5,7,8]=>1100100=>7
[3,2,1,5,7,8,4,6]=>1100001=>7
[2,1,7,3,6,8,4,5]=>1000011=>7
[2,7,3,1,5,6,8,4]=>0100011=>7
[2,4,7,5,1,6,8,3]=>0001011=>7
[4,3,7,5,6,1,8,2]=>0010111=>7
[4,3,6,8,5,1,7,2]=>0011011=>7
[2,6,1,8,3,5,7,4]=>0000111=>7
[2,1,6,8,3,7,4,5]=>1000011=>7
[2,1,8,3,5,7,4,6]=>1000011=>7
[3,2,1,5,6,8,4,7]=>1100001=>7
[3,2,1,5,7,4,6,8]=>1100010=>7
[2,1,7,3,6,4,5,8]=>1000110=>7
[2,1,6,3,5,8,4,7]=>1000101=>7
[8,2,4,1,7,5,6,3]=>0010111=>7
[3,8,4,7,5,1,6,2]=>0001111=>7
[8,4,3,6,1,7,5,2]=>0011111=>7
[8,2,1,7,3,5,4,6]=>1001011=>7
[2,6,1,8,3,5,4,7]=>0001101=>7
[2,7,3,1,5,6,4,8]=>0100110=>7
[2,4,7,5,1,6,3,8]=>0001110=>7
[8,2,4,1,7,5,3,6]=>0011011=>7
[5,8,6,3,1,7,4,2]=>0110111=>7
[2,4,7,1,8,5,3,6]=>0001011=>7
[2,4,8,5,1,6,3,7]=>0001101=>7
[6,2,1,7,3,4,8,5]=>1000111=>7
[6,2,1,7,8,3,5,4]=>1001101=>7
[2,7,1,8,3,5,6,4]=>0000111=>7
[2,1,8,3,6,4,5,7]=>1000101=>7
[3,2,1,6,7,4,5,8]=>1100010=>7
[3,2,1,7,4,5,6,8]=>1100010=>7
[3,2,1,6,8,4,5,7]=>1100001=>7
[2,1,8,3,7,4,5,6]=>1000011=>7
[2,1,8,3,6,7,4,5]=>1000011=>7
[2,4,8,5,1,6,7,3]=>0001011=>7
[4,3,8,5,6,1,7,2]=>0010111=>7
[3,2,1,8,4,5,6,7]=>1100001=>7
[1,6,8,3,7,2,4,5]=>0000011=>7
[3,8,1,5,7,2,4,6]=>0000011=>7
[1,2,6,8,4,7,3,5]=>0000011=>7
[6,1,5,8,2,4,7,3]=>0000111=>7
[1,2,4,8,3,6,7,5]=>0000011=>7
[4,1,2,7,8,3,6,5]=>0010101=>7
[3,5,7,4,8,6,1,2]=>0000111=>7
[5,3,8,4,7,6,1,2]=>0001111=>7
[8,7,1,2,5,4,6,3]=>0001111=>7
[5,8,1,2,3,7,6,4]=>0000111=>7
[1,2,8,4,3,5,7,6]=>0010011=>7
[1,2,5,3,7,6,4,8]=>0001110=>7
[6,1,2,8,7,4,5,3]=>0001111=>7
[7,1,6,2,8,4,5,3]=>0001111=>7
[1,2,6,3,8,5,4,7]=>0001101=>7
[1,2,8,5,3,6,4,7]=>0001101=>7
[1,2,7,3,8,5,4,6]=>0001011=>7
[4,1,2,7,8,6,3,5]=>0010101=>7
[1,6,2,8,4,3,5,7]=>0010101=>7
[1,6,4,2,7,3,5,8]=>0010110=>7
[1,8,6,3,2,4,5,7]=>0100101=>7
[1,7,3,2,8,4,5,6]=>0100011=>7
[3,1,7,8,6,2,4,5]=>0100101=>7
[1,8,7,2,4,5,6,3]=>0000111=>7
[1,8,7,3,5,6,2,4]=>0000111=>7
[1,3,2,8,7,4,5,6]=>0100011=>7
[1,8,3,2,6,4,5,7]=>0100101=>7
[1,7,6,3,2,4,5,8]=>0100110=>7
[1,2,8,4,3,7,5,6]=>0010011=>7
[8,5,1,7,2,4,6,3]=>0001111=>7
[5,3,8,7,4,6,1,2]=>0001111=>7
[3,8,6,4,7,5,1,2]=>0001111=>7
[6,1,8,2,7,4,5,3]=>0001111=>7
[1,2,5,3,8,6,4,7]=>0001101=>7
[1,2,7,5,3,6,4,8]=>0001110=>7
[1,2,6,3,7,5,4,8]=>0001110=>7
[1,2,3,7,5,4,8,6]=>0001011=>7
[3,7,4,8,6,5,1,2]=>0001111=>7
[1,8,2,7,6,4,5,3]=>0001111=>7
[2,9,8,7,6,5,4,1,3]=>00111111=>8
[2,8,7,6,5,1,4,3]=>0011111=>7
[7,1,6,3,2,5,4,8]=>0101110=>7
[2,7,6,3,1,5,8,4]=>0100111=>7
[1,8,4,3,6,5,2,7]=>0011101=>7
[1,8,4,6,5,3,2,7]=>0101101=>7
[7,4,2,1,6,5,3,8]=>1011110=>7
[7,6,1,4,3,5,2,8]=>0011110=>7
[7,4,1,3,5,2,6,8]=>0011010=>7
[7,3,1,2,4,6,5,8]=>0100110=>7
[1,8,6,3,4,5,2,7]=>0001101=>7
[1,8,6,7,4,2,5,3]=>0011011=>7
[3,6,2,1,4,8,5,7]=>1000101=>7
[3,1,7,2,4,6,8,5]=>0100011=>7
[3,4,7,1,5,2,8,6]=>0001011=>7
[3,6,7,4,1,5,8,2]=>0010011=>7
[4,3,2,7,1,5,8,6]=>0110011=>7
[3,1,2,8,6,5,4,7]=>0101101=>7
[5,4,8,6,1,2,3,7]=>0001101=>7
[5,6,8,7,4,3,1,2]=>0110011=>7
[1,8,2,7,4,3,6,5]=>0010111=>7
[6,5,8,2,3,7,1,4]=>0000111=>7
[6,4,8,5,3,1,7,2]=>0101111=>7
[5,7,8,6,1,3,2,4]=>0100101=>7
[2,4,8,1,6,3,7,5]=>0000111=>7
[3,1,2,8,6,4,7,5]=>0100111=>7
[5,3,2,6,4,8,1,7]=>0101101=>7
[4,1,6,3,5,8,2,7]=>0010101=>7
[2,4,5,3,8,6,1,7]=>0001101=>7
[1,8,5,3,2,7,6,4]=>0101111=>7
[1,8,4,5,2,6,7,3]=>0001011=>7
[4,1,2,7,6,5,8,3]=>0010111=>7
[2,4,1,6,7,8,5,3]=>0011001=>7
[1,8,4,3,6,2,7,5]=>0010111=>7
[5,6,7,3,2,8,1,4]=>0100011=>7
[2,5,7,3,6,8,4,1]=>0010011=>7
[5,3,2,1,4,8,6,7]=>1101001=>7
[5,3,1,4,2,8,6,7]=>0111001=>7
[7,6,1,3,8,5,4,2]=>0011111=>7
[3,4,7,8,1,2,6,5]=>0000101=>7
[3,6,7,8,1,4,5,2]=>0001001=>7
[3,6,2,8,1,5,4,7]=>0001101=>7
[2,3,6,8,5,1,4,7]=>0001001=>7
[3,1,6,4,8,2,5,7]=>0100101=>7
[7,3,2,6,8,5,1,4]=>0101011=>7
[7,3,5,8,4,6,1,2]=>0000111=>7
[7,5,2,8,4,1,6,3]=>0011111=>7
[7,4,5,8,2,1,3,6]=>1000011=>7
[1,8,5,2,4,6,3,7]=>0001101=>7
[1,8,4,2,3,5,7,6]=>0010011=>7
[6,4,2,8,3,5,1,7]=>0011101=>7
[6,3,4,8,2,5,7,1]=>0000111=>7
[7,5,4,8,3,6,2,1]=>1001111=>7
[2,7,4,8,5,3,6,1]=>0001111=>7
[7,1,5,4,8,3,6,2]=>0001111=>7
[7,3,2,5,8,4,6,1]=>0100111=>7
[8,4,6,3,7,2,5,1]=>0001111=>7
[7,4,6,3,8,5,1,2]=>0001111=>7
[2,5,6,8,3,4,1,7]=>0010001=>7
[8,4,6,2,7,5,3,1]=>0101111=>7
[8,5,6,7,2,4,3,1]=>0110011=>7
[2,5,6,8,4,3,1,7]=>0110001=>7
[2,5,7,8,4,1,3,6]=>0010001=>7
[6,5,7,8,4,1,3,2]=>0110101=>7
[7,5,6,8,2,4,1,3]=>0010011=>7
[7,4,6,2,8,5,1,3]=>0001111=>7
[4,3,2,6,8,5,1,7]=>0111001=>7
[3,5,6,8,2,4,1,7]=>0010001=>7
[3,5,6,8,4,2,1,7]=>1010001=>7
[2,6,7,8,1,4,5,3]=>0001001=>7
[3,6,7,8,1,4,2,5]=>0010001=>7
[3,5,7,8,2,1,4,6]=>1000001=>7
[2,6,7,8,1,4,3,5]=>0010001=>7
[6,5,7,8,3,1,4,2]=>0110101=>7
[2,5,7,8,3,1,4,6]=>0100001=>7
[2,4,7,3,8,1,5,6]=>0000011=>7
[6,4,7,3,8,1,5,2]=>0001111=>7
[6,4,7,3,8,1,2,5]=>0000111=>7
[7,4,6,3,8,2,1,5]=>1000111=>7
[6,3,2,5,4,8,1,7]=>0101101=>7
[6,4,5,2,3,8,1,7]=>0001101=>7
[6,4,5,3,2,8,1,7]=>0101101=>7
[5,4,6,3,8,2,1,7]=>1001101=>7
[5,4,7,3,8,1,6,2]=>0001111=>7
[2,5,7,8,3,1,6,4]=>0100101=>7
[4,5,7,8,3,1,2,6]=>0100001=>7
[4,5,6,8,2,3,1,7]=>0100001=>7
[5,4,6,2,8,3,1,7]=>0101101=>7
[5,3,2,6,8,4,1,7]=>0111001=>7
[5,4,7,2,8,1,3,6]=>0001011=>7
[4,5,7,8,2,1,3,6]=>1000001=>7
[4,6,7,8,1,3,2,5]=>0100001=>7
[4,6,7,8,1,3,5,2]=>0001001=>7
[2,6,7,8,1,3,5,4]=>0001001=>7
[2,6,7,8,1,5,3,4]=>0001001=>7
[4,6,7,8,1,5,2,3]=>0001001=>7
[4,6,7,8,1,2,5,3]=>0001001=>7
[4,5,7,8,2,1,6,3]=>1000101=>7
[5,4,7,2,8,1,6,3]=>0001111=>7
[5,3,2,7,8,1,6,4]=>0101101=>7
[4,3,2,7,8,1,6,5]=>0110101=>7
[3,5,7,8,2,1,6,4]=>1000101=>7
[3,6,7,8,1,2,5,4]=>0001001=>7
[3,6,7,8,1,5,2,4]=>0001001=>7
[3,6,7,8,1,5,4,2]=>0011001=>7
[2,6,7,8,1,5,4,3]=>0011001=>7
[2,3,4,5,6,7,8,9,10,1,11]=>0000000010=>10
[3,4,5,6,7,8,9,1,2,10]=>000000010=>9
[2,4,5,6,7,8,1,3,9]=>00000010=>8
[3,4,5,6,7,1,8,2,9]=>00000110=>8
[1,3,5,6,7,8,9,2,4]=>00000001=>8
[1,4,5,6,7,8,2,9,3]=>00000011=>8
[1,4,5,6,7,8,9,10,2,3]=>000000001=>9
[1,3,4,5,6,7,8,9,10,11,2]=>0000000001=>10
[4,2,7,1,5,3,8,6]=>0011011=>7
[4,2,8,6,1,5,3,7]=>0011101=>7
[3,2,6,7,5,1,4,8]=>0101010=>7
[2,7,1,3,5,4,8,6]=>0001011=>7
[4,7,2,1,5,8,6,3]=>1000111=>7
[7,2,1,3,5,8,6,4]=>1000111=>7
[2,3,6,4,7,1,5,8]=>0000110=>7
[1,3,4,8,2,7,5,6]=>0000011=>7
[3,1,4,8,2,6,7,5]=>0100011=>7
[8,3,1,6,2,5,7,4]=>0100111=>7
[4,8,6,2,1,5,7,3]=>1000111=>7
[4,8,3,6,5,1,7,2]=>0001111=>7
[6,4,7,3,5,1,8,2]=>0001111=>7
[6,4,7,5,1,8,2,3]=>0001111=>7
[3,6,1,7,5,8,2,4]=>0000111=>7
[7,3,5,1,6,8,2,4]=>0001011=>7
[4,7,3,5,6,1,8,2]=>0000111=>7
[3,4,6,8,5,1,7,2]=>0001011=>7
[4,6,8,2,1,5,7,3]=>1000011=>7
[6,8,2,1,3,5,7,4]=>1000011=>7
[1,8,2,3,5,7,4,6]=>0000011=>7
[2,7,3,6,1,4,5,8]=>0000110=>7
[2,6,1,3,5,8,4,7]=>0000101=>7
[7,3,2,5,6,1,4,8]=>0100110=>7
[4,7,5,2,6,1,3,8]=>0001110=>7
[4,6,2,8,1,5,3,7]=>0001101=>7
[8,4,1,2,7,5,3,6]=>0011011=>7
[4,5,6,2,7,1,3,8]=>0000110=>7
[8,5,1,2,6,3,4,7]=>0001101=>7
[1,6,2,7,4,8,3,5]=>0000111=>7
[6,2,1,7,8,5,3,4]=>1001101=>7
[6,7,3,8,4,1,5,2]=>0011011=>7
[2,7,8,4,1,5,6,3]=>0010101=>7
[2,7,1,8,5,6,3,4]=>0000111=>7
[8,2,5,1,6,7,3,4]=>0001011=>7
[8,2,4,5,1,6,7,3]=>0001011=>7
[3,8,4,5,6,1,7,2]=>0000111=>7
[4,5,8,3,6,7,1,2]=>0000011=>7
[4,5,8,3,7,6,1,2]=>0000111=>7
[4,2,8,3,7,1,6,5]=>0010111=>7
[7,2,3,4,8,1,6,5]=>0000111=>7
[7,2,3,4,8,1,5,6]=>0000011=>7
[7,6,3,4,8,5,1,2]=>0001111=>7
[7,6,3,5,8,4,1,2]=>0010111=>7
[7,6,3,8,4,5,1,2]=>0001111=>7
[7,2,3,8,5,1,4,6]=>0001011=>7
[7,2,3,8,5,1,6,4]=>0001111=>7
[2,6,4,8,1,5,7,3]=>0000111=>7
[7,2,3,8,4,1,5,6]=>0010011=>7
[7,2,3,5,8,1,4,6]=>0000011=>7
[7,8,2,3,6,1,4,5]=>0000101=>7
[7,8,2,3,6,1,5,4]=>0001101=>7
[4,2,6,3,7,1,5,8]=>0010110=>7
[7,2,3,5,8,1,6,4]=>0000111=>7
[7,2,3,8,4,1,6,5]=>0010111=>7
[2,6,4,8,1,3,7,5]=>0000111=>7
[3,6,4,8,1,7,5,2]=>0001111=>7
[7,6,5,1,2,3,8,4]=>0001111=>7
[7,6,5,1,4,2,8,3]=>0011111=>7
[2,6,4,5,1,8,7,3]=>0001111=>7
[3,5,6,4,1,2,7,8]=>0010100=>7
[7,8,5,4,1,2,6,3]=>0011101=>7
[3,5,6,4,1,2,8,7]=>0010101=>7
[7,6,5,1,4,2,3,8]=>0011110=>7
[7,6,5,1,2,4,3,8]=>0011110=>7
[7,6,5,1,2,4,8,3]=>0001111=>7
[7,6,5,1,3,2,8,4]=>0101111=>7
[7,6,5,1,3,2,4,8]=>0101110=>7
[7,6,5,1,3,4,2,8]=>0011110=>7
[7,2,3,4,5,1,8,6]=>0001011=>7
[2,6,4,3,1,5,8,7]=>0110101=>7
[2,6,4,3,1,8,5,7]=>0110101=>7
[2,6,4,3,1,8,7,5]=>0110111=>7
[3,5,8,4,1,2,7,6]=>0010011=>7
[3,5,8,4,1,2,6,7]=>0010001=>7
[3,5,8,4,1,6,2,7]=>0010101=>7
[4,2,8,3,6,1,7,5]=>0010111=>7
[3,5,8,4,1,6,7,2]=>0010011=>7
[2,5,8,4,1,7,3,6]=>0010011=>7
[3,6,4,2,1,7,8,5]=>1010101=>7
[3,6,4,2,1,7,5,8]=>1010110=>7
[3,5,6,4,1,8,7,2]=>0010111=>7
[2,6,4,5,1,3,7,8]=>0001100=>7
[7,6,5,1,4,3,8,2]=>0011111=>7
[7,6,5,1,2,8,4,3]=>0011111=>7
[7,6,5,1,2,8,3,4]=>0001111=>7
[7,6,5,1,8,2,4,3]=>0011111=>7
[7,6,5,1,8,2,3,4]=>0001111=>7
[7,6,5,1,8,3,2,4]=>0101111=>7
[7,6,5,1,4,8,2,3]=>0001111=>7
[3,6,4,5,1,7,2,8]=>0001110=>7
[2,5,6,4,1,7,8,3]=>0010101=>7
[7,8,5,4,1,6,3,2]=>0111101=>7
[2,5,6,4,1,7,3,8]=>0010110=>7
[3,6,4,5,1,7,8,2]=>0001101=>7
[7,6,5,1,4,8,3,2]=>0101111=>7
[7,6,5,1,8,3,4,2]=>0011111=>7
[7,6,5,1,8,4,2,3]=>0011111=>7
[4,1,7,6,2,8,5,3]=>0011111=>7
[7,8,6,2,1,3,5,4]=>1001101=>7
[3,7,6,1,2,8,4,5]=>0000111=>7
[2,6,5,3,1,4,8,7]=>0101101=>7
[4,6,1,5,3,2,8,7]=>0101101=>7
[3,6,1,4,2,5,8,7]=>0010101=>7
[2,6,4,5,7,8,1,3]=>0000101=>7
[8,7,1,6,5,2,4,3]=>0011111=>7
[7,2,5,6,8,1,3,4]=>0000011=>7
[6,1,3,4,2,8,7,5]=>0010111=>7
[2,4,5,6,1,8,7,3]=>0000111=>7
[8,4,1,6,5,7,3,2]=>0110111=>7
[2,8,3,4,7,5,1,6]=>0001011=>7
[6,8,2,7,4,3,5,1]=>0011011=>7
[4,7,8,5,1,6,3,2]=>0101101=>7
[8,2,6,4,7,3,5,1]=>0001111=>7
[4,8,6,1,7,3,2,5]=>0100111=>7
[8,7,3,2,1,5,4,6]=>1101011=>7
[3,8,5,1,7,2,4,6]=>0001011=>7
[6,8,7,1,3,2,4,5]=>0100011=>7
[2,5,1,8,7,4,6,3]=>0001111=>7
[3,7,1,8,4,5,6,2]=>0000111=>7
[6,2,3,8,4,7,5,1]=>0001111=>7
[8,6,4,3,1,7,2,5]=>0110111=>7
[8,3,7,4,6,1,2,5]=>0000111=>7
[7,1,3,8,6,4,5,2]=>0001111=>7
[2,3,5,8,6,7,4,1]=>0010011=>7
[7,4,2,1,8,6,5,3]=>1011111=>7
[4,6,7,2,5,8,3,1]=>0100011=>7
[7,6,2,5,3,8,1,4]=>0001111=>7
[6,2,1,3,4,8,7,5]=>1000111=>7
[6,5,4,2,8,3,1,7]=>0111101=>7
[5,4,3,1,8,7,2,6]=>0111011=>7
[6,1,4,3,8,5,2,7]=>0011101=>7
[4,7,6,2,8,1,5,3]=>0001111=>7
[6,4,5,1,7,8,3,2]=>0101101=>7
[4,2,3,1,7,8,6,5]=>0110101=>7
[3,4,2,1,8,6,7,5]=>1010011=>7
[2,7,6,8,1,5,3,4]=>0001011=>7
[6,4,5,8,3,1,2,7]=>0100101=>7
[8,1,3,2,5,6,7,4]=>0100011=>7
[3,6,8,1,5,2,4,7]=>0001001=>7
[3,2,8,7,4,5,1,6]=>0101011=>7
[6,3,8,5,7,4,2,1]=>1010111=>7
[7,4,6,8,5,1,2,3]=>0001011=>7
[2,1,4,8,7,5,3,6]=>1001011=>7
[2,1,6,8,3,7,5,4]=>1001011=>7
[3,6,8,2,4,1,5,7]=>0010001=>7
[6,2,8,1,7,5,4,3]=>0011111=>7
[2,6,5,4,8,1,3,7]=>0001101=>7
[6,5,3,4,8,1,7,2]=>0001111=>7
[8,4,3,2,5,1,7,6]=>0111011=>7
[4,2,8,1,5,3,6,7]=>0011001=>7
[5,1,8,2,6,4,3,7]=>0011101=>7
[7,4,8,6,2,1,3,5]=>1000111=>7
[4,6,2,8,3,7,5,1]=>0001111=>7
[2,1,5,8,3,6,4,7]=>1000101=>7
[2,8,5,3,6,7,1,4]=>0001011=>7
[7,8,5,6,4,1,3,2]=>0110101=>7
[5,8,4,1,6,3,7,2]=>0010111=>7
[4,8,1,3,5,7,6,2]=>0000111=>7
[3,8,1,4,5,6,2,7]=>0000101=>7
[9,7,8,5,6,3,1,4,2]=>01101011=>8
[9,7,8,5,3,6,1,4,2]=>00111011=>8
[9,7,5,8,3,6,1,4,2]=>00101111=>8
[7,9,5,8,3,6,1,4,2]=>00101011=>8
[7,6,8,3,5,1,4,2]=>0011011=>7
[8,9,5,7,3,6,1,4,2]=>00101101=>8
[8,9,6,7,3,5,1,4,2]=>00110101=>8
[8,9,6,7,4,5,1,3,2]=>01010101=>2
[8,9,6,7,4,5,2,3,1]=>01010101=>2
[9,10,7,8,5,6,3,1,4,2]=>011010101=>9
[9,7,8,5,3,1,6,4,2]=>01111011=>8
[9,10,7,8,5,3,6,1,4,2]=>001110101=>9
[9,7,5,3,8,6,1,4,2]=>00111111=>8
[9,10,7,5,8,3,6,1,4,2]=>001011101=>9
[7,5,9,8,3,6,1,4,2]=>00101111=>8
[9,7,10,5,8,3,6,1,4,2]=>001010111=>9
[7,8,6,3,5,1,4,2]=>0011101=>7
[5,3,8,7,6,1,4,2]=>0011111=>7
[9,8,5,7,3,6,1,4,2]=>00101111=>8
[10,7,9,5,8,3,6,1,4,2]=>001010111=>9
[7,9,6,8,3,5,1,4,2]=>00110011=>4
[10,8,9,5,7,3,6,1,4,2]=>001011011=>9
[6,5,8,4,7,1,3,2]=>0100111=>7
[8,9,5,7,4,6,1,3,2]=>01001101=>8
[10,8,9,6,7,3,5,1,4,2]=>001101011=>9
[8,9,6,7,3,5,2,4,1]=>00110101=>8
[10,8,9,6,7,4,5,1,3,2]=>010101011=>9
[6,7,4,2,5,3,1,8]=>0111010=>7
[7,6,4,8,3,1,5,2]=>0101111=>7
[7,4,8,5,6,1,3,2]=>0100111=>7
[7,4,2,5,6,3,1,8]=>0110110=>7
[4,2,7,5,6,3,1,8]=>0110110=>7
[3,4,7,5,6,2,1,8]=>1000110=>7
[4,7,3,5,6,2,1,8]=>1000110=>7
[3,7,2,5,6,4,1,8]=>0010110=>7
[7,8,3,5,6,1,4,2]=>0010101=>7
[1,6,8,5,2,7,4,3]=>0011011=>7
[6,2,8,5,1,7,4,3]=>0011111=>7
[6,7,4,8,2,1,5,3]=>1001011=>7
[3,2,7,8,6,1,5,4]=>0101101=>7
[6,8,4,1,2,3,7,5]=>0010011=>7
[4,1,8,5,6,3,2,7]=>0110101=>7
[1,8,2,5,6,4,3,7]=>0010101=>7
[6,1,8,5,3,7,4,2]=>0011111=>7
[3,8,1,5,2,7,6,4]=>0001111=>7
[8,2,1,5,3,7,6,4]=>1001111=>7
[1,5,2,4,6,7,8,3]=>0001001=>7
[4,1,5,3,6,7,8,2]=>0011001=>7
[8,1,6,5,3,7,2,4]=>0001111=>7
[7,1,4,6,3,2,8,5]=>0100111=>7
[3,2,6,4,1,7,8,5]=>0110101=>7
[7,6,4,3,1,2,8,5]=>0110111=>7
[8,6,3,5,1,7,2,4]=>0001111=>7
[4,5,3,1,6,7,8,2]=>0101001=>7
[3,5,2,1,6,7,8,4]=>1001001=>7
[5,2,3,1,6,7,8,4]=>0101001=>7
[1,5,3,2,6,7,8,4]=>0101001=>7
[8,4,6,5,1,7,2,3]=>0001111=>7
[7,5,4,6,1,2,8,3]=>0001111=>7
[3,2,5,6,1,7,8,4]=>0100101=>7
[3,2,8,7,6,1,4,5]=>0100111=>7
[6,8,4,7,2,1,3,5]=>1000011=>7
[3,8,7,5,6,1,2,4]=>0000111=>7
[8,2,7,5,6,1,3,4]=>0000111=>7
[4,8,6,5,1,7,3,2]=>0101111=>7
[1,7,4,6,2,3,8,5]=>0000111=>7
[7,6,4,2,1,5,8,3]=>1010111=>7
[5,7,4,6,1,3,8,2]=>0000111=>7
[8,6,4,7,3,1,2,5]=>0100111=>7
[5,2,4,3,7,1,8,6]=>0011011=>7
[3,5,4,2,7,1,8,6]=>0011011=>7
[8,6,4,1,3,5,2,7]=>0011101=>7
[6,7,4,1,5,3,8,2]=>0011011=>7
[7,5,4,1,2,6,8,3]=>0011011=>7
[1,7,4,2,3,6,8,5]=>0010011=>7
[1,8,2,5,3,7,6,4]=>0001111=>7
[6,8,1,5,4,7,3,2]=>0101011=>7
[8,2,1,5,6,4,3,7]=>1010101=>7
[3,8,1,5,6,4,2,7]=>0010101=>7
[6,8,4,1,2,5,3,7]=>0011001=>7
[3,2,8,1,6,5,4,7]=>0101101=>7
[3,2,6,1,5,7,8,4]=>0100101=>7
[7,6,4,1,5,2,8,3]=>0011111=>7
[8,6,1,5,4,7,2,3]=>0001111=>7
[3,5,1,4,6,7,8,2]=>0001001=>7
[5,2,1,4,6,7,8,3]=>1001001=>7
[5,4,1,3,6,7,8,2]=>0011001=>7
[8,4,1,5,3,7,2,6]=>0011011=>7
[7,5,4,1,3,2,8,6]=>0111011=>7
[3,2,5,1,4,7,8,6]=>0101001=>7
[7,1,4,3,5,2,8,6]=>0011011=>7
[8,1,3,5,4,7,2,6]=>0001011=>7
[5,1,3,4,6,7,8,2]=>0001001=>7
[3,1,8,2,5,7,4,6]=>0100011=>7
[8,3,2,6,1,4,7,5]=>0100111=>7
[2,8,1,6,4,3,7,5]=>0010111=>7
[2,6,1,3,8,7,5,4]=>0001111=>7
[2,5,7,1,3,8,6,4]=>0000111=>7
[2,6,8,1,5,7,4,3]=>0010011=>7
[2,7,1,5,8,4,6,3]=>0000111=>7
[2,7,1,6,4,8,3,5]=>0000111=>7
[2,7,1,6,5,3,8,4]=>0001111=>7
[2,8,1,7,6,5,4,3]=>0011111=>7
[8,3,2,7,1,6,5,4]=>0101111=>7
[4,1,8,7,3,2,6,5]=>0110111=>7
[4,1,7,2,8,6,5,3]=>0011111=>7
[3,7,1,8,6,5,4,2]=>0011111=>7
[3,7,6,1,4,2,5,8]=>0010110=>7
[3,7,5,1,4,6,8,2]=>0001011=>7
[3,6,8,5,1,4,7,2]=>0001011=>7
[7,3,5,8,2,1,4,6]=>1000011=>7
[7,3,6,2,1,4,5,8]=>1000110=>7
[7,3,6,2,1,5,4,8]=>1001110=>7
[7,4,2,8,1,6,5,3]=>0011111=>7
[8,7,5,3,2,1,6,4]=>1101111=>7
[7,5,2,6,3,1,4,8]=>0101110=>7
[7,4,6,2,1,8,3,5]=>1000111=>7
[6,8,4,5,2,1,7,3]=>1001011=>7
[4,6,8,5,1,7,3,2]=>0101011=>7
[4,7,5,1,3,8,6,2]=>0001111=>7
[4,7,6,1,5,3,2,8]=>0101110=>7
[5,1,7,6,3,8,2,4]=>0001111=>7
[5,1,7,6,4,2,8,3]=>0011111=>7
[5,1,8,7,6,4,3,2]=>0111111=>7
[8,5,2,1,7,6,4,3]=>1011111=>7
[8,5,2,1,6,3,7,4]=>1001111=>7
[5,1,8,6,3,2,7,4]=>0101111=>7
[3,6,1,7,4,8,2,5]=>0000111=>7
[4,1,8,6,3,7,2,5]=>0010111=>7
[8,4,2,5,7,3,1,6]=>0110011=>7
[3,4,6,8,5,7,1,2]=>0000011=>7
[5,4,8,2,7,3,6,1]=>0001111=>7
[5,4,8,7,3,6,1,2]=>0001111=>7
[8,5,4,7,3,6,2,1]=>1001111=>7
[6,4,3,8,7,1,2,5]=>0010111=>7
[6,3,7,2,4,8,1,5]=>0000111=>7
[5,6,8,4,2,7,3,1]=>0110011=>7
[5,7,4,2,8,1,3,6]=>0010011=>7
[6,5,2,7,1,3,8,4]=>0001111=>7
[8,6,5,4,2,1,7,3]=>1011111=>7
[6,4,7,3,1,8,2,5]=>0100111=>7
[5,7,4,3,8,6,1,2]=>0010111=>7
[7,5,8,4,6,3,2,1]=>1100111=>7
[7,6,4,8,3,5,2,1]=>1001111=>7
[7,6,5,3,8,2,4,1]=>0011111=>7
[6,5,4,3,2,1,9,8,7]=>11111011=>8
[6,5,4,3,2,1,8,7,9]=>11111010=>8
[5,4,3,2,1,9,8,7,6]=>11110111=>8
[5,4,3,2,1,8,7,6,9]=>11110110=>8
[5,4,3,2,1,7,6,9,8]=>11110101=>8
[5,4,3,2,1,7,6,8,9]=>11110100=>8
[4,3,2,1,8,7,6,5,9]=>11101110=>4
[4,3,2,1,7,6,5,9,8]=>11101101=>8
[4,3,2,1,7,6,5,8,9]=>11101100=>8
[4,3,2,1,6,5,8,7,9]=>11101010=>8
[4,3,2,1,6,5,7,8,9]=>11101000=>8
[3,2,1,6,5,4,8,7,9]=>11011010=>8
[3,2,1,6,5,4,7,8,9]=>11011000=>8
[3,2,1,5,4,7,6,9,8]=>11010101=>8
[3,2,1,5,4,7,6,8,9]=>11010100=>8
[3,2,1,5,4,6,7,8,9]=>11010000=>8
[2,1,4,3,6,5,7,8,9]=>10101000=>8
[2,1,4,3,5,6,7,8,9]=>10100000=>8
[7,6,5,4,3,2,1,10,9,8]=>111111011=>9
[7,6,5,4,3,2,1,9,8,10]=>111111010=>9
[6,5,4,3,2,1,9,8,7,10]=>111110110=>9
[6,5,4,3,2,1,8,7,9,10]=>111110100=>9
[5,4,3,2,1,9,8,7,6,10]=>111101110=>9
[5,4,3,2,1,8,7,6,10,9]=>111101101=>9
[5,4,3,2,1,8,7,6,9,10]=>111101100=>9
[5,4,3,2,1,7,6,9,8,10]=>111101010=>9
[5,4,3,2,1,7,6,8,9,10]=>111101000=>9
[4,3,2,1,8,7,6,5,9,10]=>111011100=>9
[4,3,2,1,7,6,5,10,9,8]=>111011011=>9
[4,3,2,1,7,6,5,8,9,10]=>111011000=>9
[4,3,2,1,6,5,8,7,9,10]=>111010100=>9
[4,3,2,1,6,5,7,8,9,10]=>111010000=>9
[3,2,1,6,5,4,9,8,7,10]=>110110110=>3
[3,2,1,6,5,4,8,7,10,9]=>110110101=>9
[3,2,1,6,5,4,8,7,9,10]=>110110100=>9
[3,2,1,6,5,4,7,8,9,10]=>110110000=>9
[3,2,1,5,4,7,6,9,8,10]=>110101010=>9
[3,2,1,5,4,7,6,8,9,10]=>110101000=>9
[3,2,1,5,4,6,7,8,9,10]=>110100000=>9
[2,1,4,3,6,5,8,7,9,10]=>101010100=>9
[2,1,4,3,6,5,7,8,9,10]=>101010000=>9
[2,1,4,3,5,6,7,8,9,10]=>101000000=>9
[5,6,3,7,4,2,1,8]=>1010110=>7
[7,6,3,8,5,1,4,2]=>0011111=>7
[6,4,8,1,3,2,5,7]=>0100101=>7
[7,4,8,6,3,1,5,2]=>0101111=>7
[4,2,7,6,5,3,1,8]=>0111110=>7
[3,7,2,4,6,5,1,8]=>0001110=>7
[8,1,3,4,5,2,6,7]=>0001001=>7
[1,6,8,4,2,5,3,7]=>0011001=>7
[6,2,8,4,1,5,7,3]=>0010111=>7
[6,7,4,8,5,1,2,3]=>0001011=>7
[3,2,7,8,5,1,6,4]=>0101101=>7
[3,2,8,1,5,4,6,7]=>0101001=>7
[6,1,4,8,5,3,7,2]=>0001111=>7
[1,4,8,5,2,6,7,3]=>0001011=>7
[6,1,8,4,3,7,2,5]=>0010111=>7
[3,7,1,4,2,5,8,6]=>0010011=>7
[7,2,1,4,3,5,6,8]=>1010010=>7
[4,1,5,3,6,8,2,7]=>0011001=>7
[6,1,8,5,3,2,7,4]=>0101111=>7
[7,1,4,6,3,8,5,2]=>0001111=>7
[3,2,6,4,1,8,7,5]=>0110111=>7
[7,6,4,3,1,8,2,5]=>0110111=>7
[3,5,2,1,8,7,6,4]=>1001111=>7
[1,5,3,2,8,6,4,7]=>0101101=>7
[5,4,2,1,7,8,6,3]=>1011101=>7
[8,2,7,6,5,1,3,4]=>0001111=>7
[8,6,2,7,1,4,5,3]=>0001111=>7
[1,7,3,6,2,8,5,4]=>0001111=>7
[7,6,3,2,1,8,5,4]=>1101111=>7
[8,6,3,7,4,1,2,5]=>0010111=>7
[5,2,3,4,7,1,8,6]=>0001011=>7
[8,6,3,1,4,5,7,2]=>0100111=>7
[6,7,3,1,5,4,2,8]=>0111010=>7
[5,8,3,1,2,4,7,6]=>0100011=>7
[8,1,3,2,4,5,6,7]=>0100001=>7
[8,4,1,7,2,3,6,5]=>0010111=>7
[8,2,1,6,5,4,7,3]=>1001111=>7
[3,8,1,5,6,4,7,2]=>0000111=>7
[6,8,4,1,2,5,7,3]=>0010011=>7
[3,2,8,1,6,5,7,4]=>0100111=>7
[7,6,4,1,5,2,3,8]=>0011110=>7
[8,6,1,5,4,7,3,2]=>0101111=>7
[3,5,1,4,6,7,2,8]=>0001010=>7
[5,2,1,4,7,6,3,8]=>1001110=>7
[4,5,8,2,1,3,7,6]=>1000011=>7
[5,8,2,3,1,4,6,7]=>0100001=>7
[4,2,1,3,5,8,7,6]=>1010011=>7
[5,4,1,3,6,2,8,7]=>0011101=>7
[8,5,4,1,3,6,2,7]=>0011101=>7
[3,2,5,1,4,6,8,7]=>0101001=>7
[8,1,4,3,5,6,7,2]=>0010011=>7
[7,1,3,5,4,6,2,8]=>0001110=>7
[5,1,3,4,6,2,7,8]=>0001100=>7
[4,1,3,2,5,7,6,8]=>0110010=>7
[3,1,4,2,6,5,8,7,9]=>01101010=>8
[3,1,5,2,6,4,8,7,9]=>01011010=>8
[3,1,5,2,7,4,8,6,9]=>01010110=>8
[3,1,5,2,7,4,6,9,8]=>01010101=>2
[3,1,5,2,4,7,6,9,8]=>01010101=>2
[3,1,2,5,4,7,6,9,8]=>01010101=>2
[3,1,4,2,6,5,8,7,10,9]=>011010101=>9
[4,1,5,2,6,3,8,7,9]=>00111010=>8
[3,1,5,2,6,4,8,7,10,9]=>010110101=>9
[3,1,6,2,7,4,8,5,9]=>01001110=>8
[3,1,5,2,7,4,8,6,10,9]=>010101101=>9
[3,1,5,2,8,4,9,6,7]=>01010011=>8
[3,1,5,2,7,4,9,6,10,8]=>010101011=>9
[3,1,5,2,7,4,6,8,9]=>01010100=>8
[3,1,5,2,7,4,9,6,8,10]=>010101010=>9
[3,1,5,2,4,7,9,6,8]=>01010001=>8
[3,1,5,2,7,4,6,9,8,10]=>010101010=>9
[3,1,2,5,7,4,6,9,8]=>01000101=>8
[3,1,5,2,4,7,6,9,8,10]=>010101010=>9
[1,3,5,2,4,7,6,9,8]=>00010101=>8
[3,1,2,5,4,7,6,9,8,10]=>010101010=>9
[6,8,2,4,5,1,3,7]=>0001001=>7
[3,6,7,2,5,1,4,8]=>0001010=>7
[4,6,7,3,1,5,2,8]=>0101010=>7
[5,8,1,2,4,7,3,6]=>0000011=>7
[6,8,1,3,5,2,7,4]=>0001011=>7
[6,8,3,1,4,5,7,2]=>0100011=>7
[7,5,1,8,2,3,6,4]=>0001111=>7
[6,1,8,2,3,4,7,5]=>0000111=>7
[5,3,8,4,2,6,7,1]=>0011011=>7
[5,1,8,4,6,3,7,2]=>0001111=>7
[4,1,8,3,5,7,2,6]=>0010011=>7
[3,4,7,2,6,1,8,5]=>0000111=>7
[4,5,7,3,2,6,8,1]=>0100011=>7
[4,5,7,2,3,6,8,1]=>0000011=>7
[2,6,3,4,7,5,8,1]=>0000111=>7
[3,6,4,2,7,5,8,1]=>0010111=>7
[4,5,2,7,1,6,8,3]=>0001011=>7
[3,4,1,6,5,8,2,7]=>0010101=>7
[4,1,2,8,5,7,3,6]=>0010011=>7
[5,1,4,8,6,2,7,3]=>0001111=>7
[7,3,1,4,8,5,6,2]=>0100111=>7
[5,6,3,1,7,4,2,8]=>0110110=>7
[7,3,4,1,8,5,2,6]=>0011011=>7
[6,4,2,8,7,1,5,3]=>0011111=>7
[7,2,4,8,1,5,3,6]=>0001011=>7
[2,6,3,7,5,1,4,8]=>0001110=>7
[7,1,3,8,5,2,4,6]=>0001011=>7
[1,5,3,7,8,2,4,6]=>0001001=>7
[3,2,6,7,1,8,4,5]=>0100011=>7
[4,6,3,1,7,8,5,2]=>0101101=>7
[5,3,1,6,7,8,4,2]=>0111001=>7
[4,1,6,2,7,8,5,3]=>0011101=>7
[2,1,3,4,8,7,5,6]=>1000011=>7
[4,5,6,7,8,9,1,2,3]=>00000001=>8
[4,5,6,7,8,9,2,3,1]=>01000001=>8
[5,6,7,8,9,1,2,3,4]=>00000001=>8
[5,6,7,8,9,2,3,4,1]=>00100001=>8
[5,6,7,8,9,3,4,1,2]=>00100001=>8
[5,6,7,8,9,3,4,2,1]=>10100001=>8
[6,7,8,9,2,3,4,5,1]=>00010001=>4
[6,7,8,9,3,4,5,1,2]=>00010001=>4
[6,7,8,9,3,4,5,2,1]=>10010001=>8
[6,7,8,9,4,5,2,3,1]=>01010001=>8
[6,7,8,9,4,5,3,2,1]=>11010001=>8
[7,8,9,4,5,6,2,3,1]=>01001001=>8
[7,8,9,4,5,6,3,2,1]=>11001001=>8
[7,8,9,5,6,3,4,1,2]=>00101001=>8
[7,8,9,5,6,3,4,2,1]=>10101001=>8
[7,8,9,5,6,4,3,2,1]=>11101001=>8
[8,9,6,7,4,5,3,2,1]=>11010101=>8
[8,9,6,7,5,4,3,2,1]=>11110101=>8
[4,5,6,7,8,9,10,1,2,3]=>000000001=>9
[4,5,6,7,8,9,10,2,3,1]=>010000001=>9
[5,6,7,8,9,10,1,2,3,4]=>000000001=>9
[5,6,7,8,9,10,2,3,4,1]=>001000001=>9
[5,6,7,8,9,10,3,4,1,2]=>001000001=>9
[5,6,7,8,9,10,3,4,2,1]=>101000001=>9
[7,8,9,10,3,4,5,6,1,2]=>000010001=>9
[7,8,9,10,3,4,5,6,2,1]=>100010001=>9
[7,8,9,10,4,5,6,1,2,3]=>000010001=>9
[7,8,9,10,4,5,6,3,2,1]=>110010001=>9
[7,8,9,10,5,6,3,4,1,2]=>001010001=>9
[7,8,9,10,5,6,3,4,2,1]=>101010001=>9
[7,8,9,10,5,6,4,3,2,1]=>111010001=>9
[8,9,10,5,6,7,2,3,4,1]=>001001001=>3
[8,9,10,5,6,7,3,4,1,2]=>001001001=>3
[8,9,10,5,6,7,3,4,2,1]=>101001001=>9
[8,9,10,5,6,7,4,3,2,1]=>111001001=>9
[8,9,10,6,7,4,5,2,3,1]=>010101001=>9
[8,9,10,6,7,4,5,3,2,1]=>110101001=>9
[8,9,10,6,7,5,4,3,2,1]=>111101001=>9
[9,10,7,8,5,6,3,4,2,1]=>101010101=>9
[9,10,7,8,5,6,4,3,2,1]=>111010101=>9
[9,10,7,8,6,5,4,3,2,1]=>111110101=>9
[4,8,3,7,6,5,1,2]=>0001111=>7
[6,3,8,7,5,4,1,2]=>0011111=>7
[5,3,8,7,6,4,1,2]=>0011111=>7
[2,8,7,6,1,5,4,3]=>0011111=>7
[5,2,8,7,6,1,4,3]=>0011111=>7
[6,2,8,7,5,1,4,3]=>0011111=>7
[7,8,2,6,5,1,4,3]=>0011101=>7
[6,1,8,7,5,4,3,2]=>0111111=>7
[3,1,8,7,6,5,4,2]=>0111111=>7
[7,8,2,6,1,5,4,3]=>0011101=>7
[6,2,8,7,1,5,4,3]=>0011111=>7
[4,2,8,1,7,6,5,3]=>0011111=>7
[4,8,2,7,6,1,5,3]=>0001111=>7
[3,8,7,2,1,6,5,4]=>1001111=>7
[6,5,8,7,1,4,3,2]=>0110111=>7
[4,8,1,7,6,5,3,2]=>0101111=>7
[5,4,1,8,7,6,3,2]=>0111111=>7
[6,4,8,1,7,5,3,2]=>0101111=>7
[7,8,4,1,6,5,3,2]=>0111101=>7
[7,8,3,1,6,5,4,2]=>0111101=>7
[6,3,8,1,7,5,4,2]=>0011111=>7
[5,3,1,8,7,6,4,2]=>0111111=>7
[7,8,2,1,6,5,4,3]=>1011101=>7
[6,5,3,1,8,7,4,2]=>0111111=>7
[6,4,3,1,8,7,5,2]=>0111111=>7
[5,4,3,1,8,7,6,2]=>0111111=>7
[7,5,2,1,8,6,4,3]=>1011111=>7
[5,4,2,1,8,7,6,3]=>1011111=>7
[7,3,2,1,8,6,5,4]=>1101111=>7
[6,3,2,1,8,7,5,4]=>1101111=>7
[9,7,5,3,1,10,8,6,4,2]=>011111111=>9
[8,7,5,3,1,10,9,6,4,2]=>011111111=>9
[9,6,5,3,1,10,8,7,4,2]=>011111111=>9
[8,6,5,3,1,10,9,7,4,2]=>011111111=>9
[7,6,5,3,1,10,9,8,4,2]=>011111111=>9
[9,7,4,3,1,10,8,6,5,2]=>011111111=>9
[8,7,4,3,1,10,9,6,5,2]=>011111111=>9
[9,6,4,3,1,10,8,7,5,2]=>011111111=>9
[8,6,4,3,1,10,9,7,5,2]=>011111111=>9
[7,6,4,3,1,10,9,8,5,2]=>011111111=>9
[9,5,4,3,1,10,8,7,6,2]=>011111111=>9
[8,5,4,3,1,10,9,7,6,2]=>011111111=>9
[7,5,4,3,1,10,9,8,6,2]=>011111111=>9
[6,5,4,3,1,10,9,8,7,2]=>011111111=>9
[9,7,5,2,1,10,8,6,4,3]=>101111111=>9
[8,7,5,2,1,10,9,6,4,3]=>101111111=>9
[9,6,5,2,1,10,8,7,4,3]=>101111111=>9
[8,6,5,2,1,10,9,7,4,3]=>101111111=>9
[7,6,5,2,1,10,9,8,4,3]=>101111111=>9
[9,7,4,2,1,10,8,6,5,3]=>101111111=>9
[8,7,4,2,1,10,9,6,5,3]=>101111111=>9
[9,6,4,2,1,10,8,7,5,3]=>101111111=>9
[8,6,4,2,1,10,9,7,5,3]=>101111111=>9
[7,6,4,2,1,10,9,8,5,3]=>101111111=>9
[9,5,4,2,1,10,8,7,6,3]=>101111111=>9
[8,5,4,2,1,10,9,7,6,3]=>101111111=>9
[7,5,4,2,1,10,9,8,6,3]=>101111111=>9
[6,5,4,2,1,10,9,8,7,3]=>101111111=>9
[9,7,3,2,1,10,8,6,5,4]=>110111111=>9
[8,7,3,2,1,10,9,6,5,4]=>110111111=>9
[9,6,3,2,1,10,8,7,5,4]=>110111111=>9
[8,6,3,2,1,10,9,7,5,4]=>110111111=>9
[7,6,3,2,1,10,9,8,5,4]=>110111111=>9
[9,5,3,2,1,10,8,7,6,4]=>110111111=>9
[8,5,3,2,1,10,9,7,6,4]=>110111111=>9
[7,5,3,2,1,10,9,8,6,4]=>110111111=>9
[6,5,3,2,1,10,9,8,7,4]=>110111111=>9
[9,4,3,2,1,10,8,7,6,5]=>111011111=>9
[8,4,3,2,1,10,9,7,6,5]=>111011111=>9
[7,4,3,2,1,10,9,8,6,5]=>111011111=>9
[6,4,3,2,1,10,9,8,7,5]=>111011111=>9
[6,1,4,2,3,5,8,7]=>0010101=>7
[8,6,1,4,2,3,5,7]=>0010101=>7
[6,8,1,4,2,3,5,7]=>0010001=>7
[8,1,4,2,3,6,5,7]=>0010101=>7
[4,1,8,2,3,6,5,7]=>0010101=>7
[8,2,3,6,1,4,5,7]=>0000101=>7
[6,2,3,8,1,4,5,7]=>0000101=>7
[4,6,2,3,8,1,5,7]=>0000101=>7
[4,8,2,3,6,1,5,7]=>0000101=>7
[8,2,3,6,4,1,5,7]=>0010101=>7
[8,4,3,6,2,1,5,7]=>1010101=>7
[6,2,3,8,4,1,5,7]=>0010101=>7
[8,4,2,3,6,1,5,7]=>0010101=>7
[6,4,2,3,8,1,5,7]=>0010101=>7
[2,6,4,3,8,1,5,7]=>0010101=>7
[2,8,4,3,6,1,5,7]=>0010101=>7
[2,6,3,8,4,1,5,7]=>0010101=>7
[6,3,8,4,2,1,5,7]=>1010101=>7
[2,6,3,8,1,4,5,7]=>0000101=>7
[2,8,3,6,1,4,5,7]=>0000101=>7
[8,3,6,4,2,1,5,7]=>1010101=>7
[2,8,3,6,4,1,5,7]=>0010101=>7
[8,3,6,2,4,1,5,7]=>0010101=>7
[8,3,6,2,1,4,5,7]=>1000101=>7
[6,2,1,3,8,4,5,7]=>1000101=>7
[8,2,1,3,6,4,5,7]=>1000101=>7
[6,3,8,2,4,1,5,7]=>0010101=>7
[6,2,4,3,8,1,5,7]=>0010101=>7
[3,6,4,7,8,5,1,2]=>0001101=>7
[1,6,4,2,7,5,8,3]=>0010111=>7
[3,6,4,2,7,1,5,8]=>0010110=>7
[1,4,7,2,5,6,8,3]=>0000011=>7
[6,4,8,5,3,7,1,2]=>0001111=>7
[1,6,5,4,2,7,8,3]=>0011101=>7
[4,2,5,3,6,1,7,8]=>0011100=>7
[7,1,5,3,6,2,8,4]=>0001111=>7
[1,6,5,2,4,8,7,3]=>0001111=>7
[1,4,6,2,8,5,7,3]=>0000111=>7
[7,8,1,4,2,5,6,3]=>0010101=>7
[3,4,8,5,2,1,6,7]=>1001001=>7
[4,8,5,3,1,6,2,7]=>0101101=>7
[6,1,3,5,8,2,7,4]=>0000111=>7
[6,1,8,7,4,2,3,5]=>0010111=>7
[1,2,8,5,7,3,6,4]=>0000111=>7
[1,3,6,8,7,5,2,4]=>0001011=>7
[1,8,2,5,4,7,6,3]=>0001111=>7
[7,1,2,4,5,8,6,3]=>0000111=>7
[1,2,7,3,5,8,6,4]=>0000111=>7
[6,1,3,2,5,7,8,4]=>0100101=>7
[4,6,2,1,7,5,3,8]=>1001110=>7
[1,6,3,7,8,5,2,4]=>0001101=>7
[4,6,2,3,7,8,1,5]=>0000101=>7
[4,6,3,7,1,2,8,5]=>0000111=>7
[4,2,1,3,5,7,8,6]=>1010001=>7
[7,3,2,4,5,1,8,6]=>0101011=>7
[3,8,2,5,4,1,7,6]=>0011011=>7
[7,8,4,2,6,3,1,5]=>0110101=>7
[4,2,6,3,8,7,1,5]=>0010111=>7
[5,8,2,7,4,3,1,6]=>0110011=>7
[4,3,8,5,1,7,2,6]=>0011011=>7
[4,3,6,8,1,2,7,5]=>0010011=>7
[6,4,3,5,2,8,1,7]=>0011101=>7
[6,5,3,8,4,2,1,7]=>1011101=>7
[6,1,7,2,8,3,9,4,10,5]=>000011111=>9
[6,1,7,2,8,3,9,10,4,5]=>000011101=>9
[6,1,7,2,8,9,3,4,10,5]=>000011011=>9
[6,1,7,2,8,9,3,10,4,5]=>000011011=>9
[6,1,7,2,8,9,10,3,4,5]=>000011001=>9
[6,1,7,8,2,3,9,4,10,5]=>000010111=>9
[6,1,7,8,2,3,9,10,4,5]=>000010101=>9
[6,1,7,8,2,9,3,4,10,5]=>000010111=>9
[6,1,7,8,2,9,3,10,4,5]=>000010111=>9
[6,1,7,8,2,9,10,3,4,5]=>000010101=>9
[6,1,7,8,9,2,3,4,10,5]=>000010011=>9
[6,1,7,8,9,2,3,10,4,5]=>000010011=>9
[6,1,7,8,9,2,10,3,4,5]=>000010011=>9
[6,1,7,8,9,10,2,3,4,5]=>000010001=>9
[6,7,1,2,8,3,9,4,10,5]=>000001111=>9
[6,7,1,2,8,3,9,10,4,5]=>000001101=>9
[6,7,1,2,8,9,3,4,10,5]=>000001011=>9
[6,7,1,2,8,9,3,10,4,5]=>000001011=>9
[6,7,1,2,8,9,10,3,4,5]=>000001001=>9
[6,7,1,8,2,3,9,4,10,5]=>000001111=>9
[6,7,1,8,2,3,9,10,4,5]=>000001101=>9
[6,7,1,8,2,9,3,4,10,5]=>000001111=>9
[6,7,1,8,2,9,3,10,4,5]=>000001111=>9
[6,7,1,8,2,9,10,3,4,5]=>000001101=>9
[6,7,1,8,9,2,3,4,10,5]=>000001011=>9
[6,7,1,8,9,2,3,10,4,5]=>000001011=>9
[6,7,1,8,9,2,10,3,4,5]=>000001011=>9
[6,7,1,8,9,10,2,3,4,5]=>000001001=>9
[6,7,8,1,2,3,9,4,10,5]=>000000111=>9
[6,7,8,1,2,3,9,10,4,5]=>000000101=>9
[6,7,8,1,2,9,3,4,10,5]=>000000111=>9
[6,7,8,1,2,9,3,10,4,5]=>000000111=>9
[6,7,8,1,2,9,10,3,4,5]=>000000101=>9
[6,7,8,1,9,2,3,4,10,5]=>000000111=>9
[6,7,8,1,9,2,3,10,4,5]=>000000111=>9
[6,7,8,1,9,2,10,3,4,5]=>000000111=>9
[6,7,8,1,9,10,2,3,4,5]=>000000101=>9
[6,7,8,9,1,2,3,4,10,5]=>000000011=>9
[6,7,8,9,1,2,3,10,4,5]=>000000011=>9
[6,7,8,9,1,2,10,3,4,5]=>000000011=>9
[6,7,8,9,1,10,2,3,4,5]=>000000011=>9
[3,8,1,7,5,6,4,2]=>0010111=>7
[8,2,5,7,3,6,4,1]=>0010111=>7
[1,8,6,7,5,3,4,2]=>0011011=>7
[8,2,6,7,5,3,4,1]=>0011011=>7
[1,5,8,7,2,6,4,3]=>0010111=>7
[5,4,8,6,2,3,7,1]=>0001111=>7
[2,7,6,1,3,5,4,8]=>0001110=>7
[6,4,1,8,2,5,7,3]=>0010111=>7
[2,8,6,1,3,5,4,7]=>0001101=>7
[4,1,3,6,5,8,7,2]=>0010111=>7
[2,1,6,3,5,8,7,4]=>1000111=>7
[2,4,1,3,8,5,7,6]=>0010011=>7
[2,4,1,3,5,8,7,6]=>0010011=>7
[2,6,1,3,5,8,7,4]=>0000111=>7
[4,6,1,3,5,8,7,2]=>0000111=>7
[6,1,4,3,5,8,7,2]=>0010111=>7
[6,4,1,3,5,8,7,2]=>0010111=>7
[6,2,1,3,5,8,7,4]=>1000111=>7
[4,2,1,3,6,5,7,8]=>1010100=>7
[4,2,1,6,3,5,7,8]=>1010100=>7
[6,2,1,8,3,5,7,4]=>1000111=>7
[6,2,1,3,8,5,7,4]=>1000111=>7
[6,1,4,3,8,5,7,2]=>0010111=>7
[1,6,4,3,8,5,7,2]=>0010111=>7
[8,1,4,3,6,5,7,2]=>0010111=>7
[8,4,1,3,6,5,7,2]=>0010111=>7
[8,2,1,3,6,5,7,4]=>1000111=>7
[8,2,1,6,3,5,7,4]=>1000111=>7
[8,2,1,4,3,5,7,6]=>1010011=>7
[6,2,1,4,3,5,7,8]=>1010100=>7
[8,2,4,1,3,5,7,6]=>0010011=>7
[8,2,6,1,3,5,7,4]=>0000111=>7
[8,4,6,1,3,5,7,2]=>0000111=>7
[8,4,1,6,3,5,7,2]=>0010111=>7
[8,1,4,6,3,5,7,2]=>0000111=>7
[1,8,4,6,3,5,7,2]=>0000111=>7
[1,6,4,8,3,5,7,2]=>0000111=>7
[6,4,1,8,3,5,7,2]=>0010111=>7
[6,4,8,1,3,5,7,2]=>0000111=>7
[6,2,8,1,3,5,7,4]=>0000111=>7
[4,2,8,1,3,5,7,6]=>0010011=>7
[2,6,8,1,3,5,7,4]=>0000011=>7
[4,6,8,1,3,5,7,2]=>0000011=>7
[4,6,1,8,3,5,7,2]=>0000111=>7
[4,1,6,8,3,5,7,2]=>0010011=>7
[1,4,6,3,8,5,7,2]=>0000111=>7
[4,6,1,3,8,5,7,2]=>0000111=>7
[2,4,1,8,3,5,7,6]=>0010011=>7
[2,1,6,8,3,5,7,4]=>1000011=>7
[4,1,3,6,8,5,7,2]=>0010011=>7
[1,4,3,6,8,5,7,2]=>0010011=>7
[4,1,3,8,6,5,7,2]=>0010111=>7
[2,1,8,3,6,5,7,4]=>1000111=>7
[2,1,6,4,3,5,7,8]=>1010100=>7
[2,6,1,4,3,5,7,8]=>0010100=>7
[2,8,1,4,3,5,7,6]=>0010011=>7
[2,8,1,6,3,5,7,4]=>0000111=>7
[4,8,1,3,6,5,7,2]=>0000111=>7
[1,4,8,3,6,5,7,2]=>0000111=>7
[1,4,8,6,3,5,7,2]=>0000111=>7
[4,1,8,6,3,5,7,2]=>0010111=>7
[4,8,1,6,3,5,7,2]=>0000111=>7
[4,8,6,1,3,5,7,2]=>0000111=>7
[2,8,6,1,3,5,7,4]=>0000111=>7
[2,8,4,1,3,5,7,6]=>0010011=>7
[2,6,4,1,3,5,7,8]=>0010100=>7
[4,6,2,1,3,5,7,8]=>1000100=>7
[6,8,1,4,3,5,7,2]=>0010011=>7
[6,1,8,4,3,5,7,2]=>0010111=>7
[1,6,8,4,3,5,7,2]=>0010011=>7
[1,8,6,4,3,5,7,2]=>0010111=>7
[8,1,6,4,3,5,7,2]=>0010111=>7
[8,6,1,4,3,5,7,2]=>0010111=>7
[8,6,4,1,3,5,7,2]=>0010111=>7
[8,6,2,1,3,5,7,4]=>1000111=>7
[8,4,2,1,3,5,7,6]=>1010011=>7
[7,8,6,5,2,1,4,3]=>1011101=>7
[5,7,4,1,8,6,3,2]=>0110111=>7
[5,6,4,2,8,3,7,1]=>0010111=>7
[5,6,4,2,7,3,1,8]=>0110110=>7
[5,7,1,4,6,3,2,8]=>0100110=>7
[5,8,1,4,6,3,7,2]=>0000111=>7
[3,6,7,4,5,8,2,1]=>1000011=>7
[3,5,7,4,6,8,2,1]=>1000011=>7
[6,8,4,1,7,2,5,3]=>0011011=>7
[5,4,6,1,7,8,3,2]=>0101101=>7
[5,6,4,1,8,7,3,2]=>0110111=>7
[3,5,8,4,6,7,2,1]=>1000011=>7
[3,6,8,4,5,7,2,1]=>1000011=>7
[3,7,8,4,5,6,2,1]=>1000101=>7
[6,8,1,4,5,3,7,2]=>0001011=>7
[6,7,1,4,5,3,2,8]=>0101010=>7
[3,7,1,5,4,6,2,8]=>0001110=>7
[3,8,1,5,4,6,7,2]=>0001011=>7
[3,7,1,5,4,6,8,2]=>0001011=>7
[6,7,1,4,5,3,8,2]=>0001011=>7
[5,7,1,4,6,3,8,2]=>0000111=>7
[5,6,4,2,7,3,8,1]=>0010111=>7
[5,4,7,2,8,3,1,6]=>0101011=>7
[5,4,7,2,8,3,6,1]=>0001111=>7
[5,6,4,2,8,3,1,7]=>0110101=>7
[5,8,1,4,6,3,2,7]=>0100101=>7
[3,8,1,5,4,6,2,7]=>0001101=>7
[3,6,1,5,4,2,7,8]=>0011100=>7
[3,6,1,5,4,8,2,7]=>0001101=>7
[6,8,3,1,4,2,5,7]=>0110001=>7
[7,3,8,1,4,2,5,6]=>0010011=>7
[6,7,3,1,4,2,8,5]=>0110011=>7
[3,6,1,5,4,7,8,2]=>0001101=>7
[3,4,1,2,7,6,5,8]=>0010110=>7
[3,4,1,2,6,8,7,5]=>0010011=>7
[6,8,3,1,4,7,2,5]=>0100011=>7
[6,4,7,2,8,5,1,3]=>0001111=>7
[5,8,1,4,7,3,2,6]=>0100011=>7
[7,8,1,4,5,3,2,6]=>0101001=>7
[3,8,1,5,4,7,2,6]=>0001011=>7
[3,6,1,5,4,8,7,2]=>0001111=>7
[3,6,1,5,4,7,2,8]=>0001110=>7
[6,7,3,1,4,2,5,8]=>0110010=>7
[6,8,3,1,4,2,7,5]=>0110011=>7
[7,8,3,1,4,6,2,5]=>0100101=>7
[7,8,4,2,6,5,1,3]=>0011101=>7
[6,5,8,7,3,4,2,1]=>1010111=>7
[7,8,3,1,4,6,5,2]=>0101101=>7
[6,7,3,1,4,5,2,8]=>0101010=>7
[3,7,1,5,4,2,6,8]=>0011010=>7
[3,8,1,5,4,2,7,6]=>0011011=>7
[5,8,1,4,7,3,6,2]=>0000111=>7
[6,8,4,2,7,5,3,1]=>0111011=>7
[6,4,7,2,8,5,3,1]=>0101111=>7
[6,3,7,1,4,8,5,2]=>0001111=>7
[6,8,3,1,4,7,5,2]=>0101011=>7
[3,7,1,5,4,8,6,2]=>0001111=>7
[3,4,1,2,8,5,7,6]=>0010011=>7
[3,4,1,2,5,8,7,6]=>0010011=>7
[3,7,1,5,4,2,8,6]=>0011011=>7
[6,7,3,1,4,5,8,2]=>0100011=>7
[7,3,8,1,4,5,2,6]=>0001011=>7
[7,3,8,1,4,5,6,2]=>0000111=>7
[6,8,3,1,4,5,2,7]=>0101001=>7
[3,8,1,5,4,2,6,7]=>0011001=>7
[9,8,7,6,5,4,2,1,3]=>10111111=>8
[9,8,7,6,5,3,2,1,4]=>11011111=>8
[8,7,6,3,5,2,1,4]=>1001111=>7
[9,8,7,6,4,3,2,1,5]=>11101111=>8
[8,7,4,6,3,2,1,5]=>1100111=>7
[9,8,7,5,4,3,2,1,6]=>11110111=>8
[8,5,7,4,3,2,1,6]=>1110011=>7
[9,8,6,5,4,3,2,1,7]=>11111011=>8
[9,7,6,5,4,3,2,1,8]=>11111101=>8
[9,8,7,6,5,4,1,3,2]=>01111111=>8
[10,9,8,7,6,5,4,2,1,3]=>101111111=>9
[9,8,7,6,5,2,4,1,3]=>00111111=>8
[10,9,8,7,6,5,3,2,1,4]=>110111111=>9
[9,8,7,6,3,5,2,1,4]=>10011111=>8
[10,9,8,7,6,4,3,2,1,5]=>111011111=>9
[8,7,6,2,5,4,1,3]=>0011111=>7
[9,8,7,4,6,3,2,1,5]=>11001111=>8
[10,9,8,7,5,4,3,2,1,6]=>111101111=>9
[8,5,4,7,3,2,1,6]=>1101011=>7
[8,7,3,6,5,2,1,4]=>1001111=>7
[9,8,5,7,4,3,2,1,6]=>11100111=>8
[10,9,8,6,5,4,3,2,1,7]=>111110111=>9
[6,5,8,4,3,2,1,7]=>1110101=>7
[8,4,7,6,3,2,1,5]=>1100111=>7
[9,6,8,5,4,3,2,1,7]=>11110011=>8
[10,9,7,6,5,4,3,2,1,8]=>111111011=>9
[5,8,7,4,3,2,1,6]=>1110011=>7
[10,8,7,6,5,4,3,2,1,9]=>111111101=>9
[5,8,6,2,3,4,7,1]=>0000111=>7
[4,5,2,7,3,1,8,6]=>0101011=>7
[4,8,2,6,3,5,7,1]=>0000111=>7
[4,3,7,8,6,5,1,2]=>0011101=>7
[4,1,7,2,5,8,6,3]=>0010111=>7
[7,8,2,1,5,6,4,3]=>1010101=>7
[1,6,2,5,8,4,3,7]=>0010101=>7
[2,1,8,7,4,5,3,6]=>1001011=>7
[7,3,1,6,8,5,2,4]=>0101011=>7
[1,5,8,6,2,3,7,4]=>0000111=>7
[2,4,8,3,1,6,5,7]=>0100101=>7
[5,2,7,1,8,6,3,4]=>0001111=>7
[2,6,1,3,8,7,4,5]=>0000111=>7
[6,5,2,8,1,7,3,4]=>0001111=>7
[2,8,3,5,1,7,4,6]=>0001011=>7
[5,4,3,8,7,1,6,2]=>0011111=>7
[8,5,4,3,7,2,6,1]=>0011111=>7
[8,3,7,4,2,6,5,1]=>0011111=>7
[2,8,6,5,1,7,4,3]=>0011111=>7
[6,3,2,8,4,1,7,5]=>0110111=>7
[2,8,3,4,1,7,5,6]=>0010011=>7
[5,4,2,8,3,1,7,6]=>0111011=>7
[2,8,4,3,1,7,6,5]=>0110111=>7
[2,8,5,3,1,7,6,4]=>0101111=>7
[2,8,6,4,1,7,5,3]=>0011111=>7
[3,8,7,5,1,6,4,2]=>0011111=>7
[8,3,7,5,2,6,4,1]=>0011111=>7
[8,4,7,6,2,5,3,1]=>0101111=>7
[4,8,7,6,1,5,3,2]=>0101111=>7
[7,4,8,6,2,1,5,3]=>1001111=>7
[7,3,8,5,2,1,6,4]=>1001111=>7
[7,3,8,4,2,1,6,5]=>1010111=>7
[7,5,4,3,8,2,1,6]=>1011011=>7
[3,7,8,4,1,2,6,5]=>0010101=>7
[3,7,8,5,1,2,6,4]=>0001101=>7
[4,7,8,6,1,2,5,3]=>0001101=>7
[8,7,4,6,3,5,2,1]=>1001111=>7
[5,7,8,6,1,2,4,3]=>0010101=>7
[6,4,7,8,3,1,2,5]=>0100101=>7
[7,3,4,8,2,1,5,6]=>1000011=>7
[7,6,4,8,3,2,1,5]=>1100111=>7
[7,5,8,6,2,1,4,3]=>1010111=>7
[6,5,8,7,3,1,4,2]=>0110111=>7
[2,4,8,3,1,5,7,6]=>0100011=>7
[6,3,2,4,8,1,5,7]=>0100101=>7
[2,3,8,4,1,6,7,5]=>0010011=>7
[2,3,8,5,1,6,7,4]=>0001011=>7
[6,4,8,7,3,1,5,2]=>0101111=>7
[8,6,4,7,3,2,5,1]=>0101111=>7
[8,3,4,7,2,5,6,1]=>0000111=>7
[3,4,8,7,1,5,6,2]=>0000111=>7
[2,4,8,6,1,5,7,3]=>0000111=>7
[2,5,8,6,1,4,7,3]=>0000111=>7
[8,3,5,7,2,4,6,1]=>0000111=>7
[8,4,6,7,2,3,5,1]=>0001011=>7
[4,6,8,7,1,3,5,2]=>0001011=>7
[2,6,8,5,1,3,7,4]=>0001011=>7
[2,6,8,4,1,3,7,5]=>0010011=>7
[2,5,8,3,1,4,7,6]=>0100011=>7
[5,6,8,7,1,3,4,2]=>0010011=>7
[7,4,6,8,2,1,3,5]=>1000011=>7
[2,3,5,4,1,8,6,7]=>0011001=>7
[2,3,6,4,8,1,5,7]=>0000101=>7
[1,8,4,6,3,5,2,7]=>0001101=>7
[5,4,8,6,2,1,3,7]=>1001101=>7
[2,3,6,8,1,5,4,7]=>0001001=>7
[2,5,6,1,4,7,8,3]=>0000101=>7
[2,5,6,1,4,7,3,8]=>0000110=>7
[7,3,5,1,6,8,4,2]=>0011011=>7
[2,7,6,1,8,5,4,3]=>0011111=>7
[2,7,6,8,1,4,5,3]=>0001011=>7
[1,8,7,6,3,2,5,4]=>0101111=>7
[1,8,7,6,3,2,4,5]=>0100111=>7
[5,7,8,6,2,3,4,1]=>0010101=>7
[2,7,6,1,8,5,3,4]=>0001111=>7
[6,3,5,1,7,2,4,8]=>0001110=>7
[2,3,4,7,6,1,5,8]=>0000110=>7
[7,3,5,8,4,1,2,6]=>0010011=>7
[1,8,4,5,2,7,3,6]=>0001011=>7
[1,8,4,5,2,7,6,3]=>0001111=>7
[7,3,5,8,4,1,6,2]=>0010111=>7
[2,7,6,4,8,5,1,3]=>0001111=>7
[7,3,5,4,6,8,1,2]=>0001011=>7
[6,3,5,4,7,1,8,2]=>0001111=>7
[6,3,5,4,7,1,2,8]=>0001110=>7
[3,4,1,5,6,8,7,2]=>0010011=>7
[3,7,1,6,8,5,2,4]=>0001011=>7
[2,3,1,8,6,4,7,5]=>0100111=>7
[1,8,4,3,6,2,5,7]=>0010101=>7
[2,3,1,8,6,4,5,7]=>0100101=>7
[3,7,1,6,8,5,4,2]=>0011011=>7
[6,3,5,4,7,2,1,8]=>1001110=>7
[7,3,5,4,6,8,2,1]=>1001011=>7
[2,7,6,4,8,5,3,1]=>0101111=>7
[1,8,4,5,2,6,3,7]=>0001101=>7
[6,4,8,5,3,1,2,7]=>0101101=>7
[7,3,5,8,4,6,2,1]=>1000111=>7
[2,3,4,6,5,8,1,7]=>0000101=>7
[2,3,4,7,5,1,8,6]=>0001011=>7
[2,3,4,7,5,1,6,8]=>0001010=>7
[2,3,4,7,1,6,5,8]=>0000110=>7
[2,3,4,7,1,6,8,5]=>0000011=>7
[2,3,4,6,1,8,7,5]=>0000111=>7
[6,3,5,8,4,2,7,1]=>0010111=>7
[7,4,8,5,3,2,1,6]=>1101011=>7
[1,8,4,5,2,3,6,7]=>0001001=>7
[7,4,8,5,3,2,6,1]=>0101111=>7
[6,3,5,8,4,2,1,7]=>1010101=>7
[5,2,4,6,8,3,7,1]=>0001011=>7
[1,5,7,4,6,3,2,8]=>0100110=>7
[5,2,8,4,6,3,7,1]=>0001111=>7
[3,8,5,4,6,7,2,1]=>1001011=>7
[6,8,3,4,5,7,2,1]=>1000011=>7
[2,5,7,4,6,3,8,1]=>0000111=>7
[5,4,1,7,8,3,2,6]=>0111001=>7
[5,4,2,7,8,3,6,1]=>0011101=>7
[5,1,4,6,8,3,2,7]=>0101001=>7
[5,1,8,4,6,3,2,7]=>0101101=>7
[8,1,6,4,5,3,2,7]=>0101101=>7
[8,1,3,5,4,6,2,7]=>0001101=>7
[8,1,6,2,4,3,5,7]=>0010101=>7
[8,7,1,2,4,3,5,6]=>0010011=>7
[1,7,6,2,4,3,5,8]=>0010110=>7
[8,7,3,2,4,6,5,1]=>0101111=>7
[8,2,6,3,4,5,7,1]=>0000111=>7
[1,7,6,3,4,5,2,8]=>0001110=>7
[1,7,2,5,4,3,6,8]=>0011010=>7
[8,7,2,4,5,3,6,1]=>0001111=>7
[5,8,2,4,7,3,6,1]=>0000111=>7
[6,8,3,2,4,7,5,1]=>0101011=>7
[8,7,1,3,4,5,2,6]=>0001011=>7
[8,1,6,3,4,5,2,7]=>0001101=>7
[8,1,2,5,4,3,6,7]=>0011001=>7
[3,4,8,7,5,2,6,1]=>0001111=>7
[3,2,8,6,1,5,4,7]=>0101101=>7
[8,6,1,2,4,3,5,7]=>0010101=>7
[8,7,3,6,4,2,5,1]=>0011111=>7
[3,8,7,2,5,4,6,1]=>0001111=>7
[8,7,2,4,5,6,3,1]=>0100111=>7
[5,3,6,2,4,8,7,1]=>0001111=>7
[3,5,2,8,6,1,4,7]=>0001101=>7
[3,7,2,5,1,4,8,6]=>0001011=>7
[5,1,8,6,2,3,4,7]=>0001101=>7
[2,5,4,1,8,6,3,7]=>0011101=>7
[3,7,6,1,8,2,5,4]=>0001111=>7
[7,6,3,1,8,2,4,5]=>0100111=>7
[8,2,3,6,1,4,7,5]=>0000111=>7
[1,8,2,6,3,4,7,5]=>0000111=>7
[8,1,3,6,4,7,2,5]=>0000111=>7
[7,1,3,6,4,8,2,5]=>0000111=>7
[8,2,1,3,5,7,4,6]=>1000011=>7
[8,2,6,3,1,4,7,5]=>0100111=>7
[7,5,4,1,3,8,2,6]=>0011011=>7
[2,7,5,8,3,4,1,6]=>0010011=>7
[7,3,8,5,4,1,2,6]=>0011011=>7
[7,2,3,6,1,4,8,5]=>0000111=>7
[1,3,7,2,5,8,4,6]=>0000011=>7
[1,7,2,3,5,8,4,6]=>0000011=>7
[7,4,8,1,3,6,2,5]=>0000111=>7
[8,1,2,3,5,7,4,6]=>0000011=>7
[7,1,2,3,5,8,4,6]=>0000011=>7
[8,6,1,4,7,3,2,5]=>0100111=>7
[2,6,3,7,1,4,8,5]=>0000111=>7
[2,6,3,8,1,4,7,5]=>0000111=>7
[7,5,4,8,1,3,2,6]=>0101011=>7
[8,5,4,7,1,3,2,6]=>0101011=>7
[2,3,1,8,5,4,6,7]=>0101001=>7
[8,6,5,1,3,4,2,7]=>0011101=>7
[8,5,1,7,6,3,4,2]=>0011111=>7
[3,4,7,6,1,8,5,2]=>0001111=>7
[3,5,2,6,7,1,8,4]=>0001011=>7
[3,2,8,4,7,5,1,6]=>0101011=>7
[8,4,7,5,1,3,2,6]=>0101011=>7
[3,8,1,6,5,2,7,4]=>0001111=>7
[6,1,2,8,3,4,7,5]=>0000111=>7
[6,8,3,1,7,2,4,5]=>0100011=>7
[3,7,2,5,6,1,8,4]=>0000111=>7
[6,8,4,2,5,1,7,3]=>0011011=>7
[2,7,5,3,8,4,1,6]=>0011011=>7
[8,3,1,4,7,2,6,5]=>0100111=>7
[8,3,2,1,5,7,4,6]=>1100011=>7
[2,8,3,6,4,7,1,5]=>0000111=>7
[7,3,6,4,8,1,2,5]=>0000111=>7
[8,3,6,4,7,1,2,5]=>0000111=>7
[1,2,8,3,5,7,4,6]=>0000011=>7
[1,8,3,2,5,7,4,6]=>0100011=>7
[6,5,1,7,4,2,8,3]=>0011111=>7
[7,3,6,4,8,2,1,5]=>1000111=>7
[4,6,1,7,3,5,2,8]=>0001110=>7
[5,6,1,7,3,4,2,8]=>0010110=>7
[6,1,7,3,4,2,8,5]=>0010111=>7
[7,3,8,1,6,5,2,4]=>0001111=>7
[8,3,7,1,6,5,2,4]=>0001111=>7
[5,1,7,4,2,8,6,3]=>0011111=>7
[2,8,1,7,6,5,3,4]=>0001111=>7
[4,2,8,6,5,1,7,3]=>0011111=>7
[6,4,2,8,5,1,7,3]=>0011111=>7
[8,6,4,7,1,5,2,3]=>0001111=>7
[7,6,4,8,1,5,2,3]=>0001111=>7
[5,1,6,4,2,3,8,7]=>0011101=>7
[4,2,3,8,7,5,1,6]=>0011011=>7
[3,8,7,1,6,5,2,4]=>0001111=>7
[2,4,3,8,1,6,7,5]=>0010011=>7
[2,4,3,7,1,6,8,5]=>0010011=>7
[4,2,3,7,8,5,1,6]=>0011001=>7
[5,1,6,4,2,3,7,8]=>0011100=>7
[6,4,7,8,1,5,2,3]=>0001101=>7
[8,7,4,6,1,5,2,3]=>0001111=>7
[6,5,7,8,1,4,2,3]=>0010101=>7
[4,7,8,6,1,5,2,3]=>0001101=>7
[3,2,4,7,8,1,5,6]=>0100001=>7
[3,2,4,8,7,1,5,6]=>0100011=>7
[4,8,7,6,1,5,2,3]=>0001111=>7
[5,8,7,6,1,4,2,3]=>0010111=>7
[8,6,5,7,1,4,2,3]=>0010111=>7
[5,1,6,7,4,2,3,8]=>0011010=>7
[6,7,4,8,1,5,2,3]=>0001011=>7
[8,4,7,6,1,5,2,3]=>0001111=>7
[8,3,2,4,7,1,5,6]=>0100011=>7
[7,3,2,4,8,1,5,6]=>0100011=>7
[2,5,3,7,1,6,4,8]=>0001110=>7
[8,4,6,7,1,5,2,3]=>0001011=>7
[7,4,6,8,1,5,2,3]=>0001011=>7
[5,1,6,8,4,2,3,7]=>0011001=>7
[4,2,3,7,5,1,6,8]=>0011010=>7
[3,7,5,8,1,6,2,4]=>0000111=>7
[2,4,3,7,1,6,5,8]=>0010110=>7
[2,4,7,1,5,8,6,3]=>0000111=>7
[3,2,4,7,6,1,5,8]=>0100110=>7
[4,7,6,8,1,5,2,3]=>0001011=>7
[8,5,6,7,1,4,2,3]=>0010011=>7
[8,6,7,5,1,4,2,3]=>0011011=>7
[7,6,8,5,1,4,2,3]=>0011011=>7
[6,8,7,5,1,4,2,3]=>0011011=>7
[5,6,8,7,1,4,2,3]=>0010011=>7
[4,6,8,7,1,5,2,3]=>0001011=>7
[2,4,6,7,1,5,8,3]=>0000011=>7
[3,2,4,6,1,5,7,8]=>0100100=>7
[6,7,8,5,1,4,2,3]=>0011001=>7
[7,8,6,5,1,4,2,3]=>0011101=>7
[3,1,7,5,4,2,8,6]=>0111011=>7
[2,1,8,5,4,6,3,7]=>1001101=>7
[4,1,8,5,2,3,6,7]=>0011001=>7
[5,4,1,3,6,7,2,8]=>0011010=>7
[8,4,1,2,6,3,7,5]=>0010111=>7
[8,2,7,1,5,3,4,6]=>0001011=>7
[3,2,7,1,5,8,4,6]=>0100011=>7
[6,3,7,1,5,4,2,8]=>0011110=>7
[7,3,8,1,5,4,2,6]=>0011011=>7
[7,1,5,3,8,4,2,6]=>0011011=>7
[4,5,1,3,6,8,2,7]=>0001001=>7
[3,6,8,1,5,4,2,7]=>0011001=>7
[6,8,3,1,5,4,2,7]=>0111001=>7
[7,6,3,1,5,4,2,8]=>0111110=>7
[3,6,2,1,5,8,4,7]=>1000101=>7
[8,6,2,1,5,3,4,7]=>1001101=>7
[4,8,2,1,7,5,3,6]=>1001011=>7
[2,3,8,1,5,7,4,6]=>0000011=>7
[7,1,3,2,8,6,4,5]=>0100111=>7
[7,1,6,2,8,3,4,5]=>0000111=>7
[4,7,1,2,6,3,8,5]=>0000111=>7
[2,7,8,1,5,3,4,6]=>0001001=>7
[6,7,2,1,5,3,4,8]=>1001010=>7
[4,7,2,1,8,5,3,6]=>1001011=>7
[8,7,2,1,4,5,3,6]=>1001011=>7
[8,7,5,6,1,4,3,2]=>0110111=>7
[5,7,8,6,1,4,3,2]=>0110101=>7
[2,7,4,1,6,5,3,8]=>0011110=>7
[3,7,1,4,5,6,8,2]=>0000011=>7
[7,1,6,4,5,8,3,2]=>0100111=>7
[3,5,1,4,7,6,8,2]=>0001011=>7
[2,6,4,1,7,5,3,8]=>0011110=>7
[5,6,8,7,1,4,3,2]=>0110011=>7
[6,8,5,7,1,4,3,2]=>0110011=>7
[8,6,5,7,1,4,3,2]=>0110111=>7
[8,5,7,6,1,4,3,2]=>0110111=>7
[6,5,7,8,1,4,3,2]=>0110101=>7
[7,2,3,1,5,6,4,8]=>0100110=>7
[4,2,8,1,6,5,3,7]=>0011101=>7
[6,2,4,1,8,5,3,7]=>0011101=>7
[8,3,1,4,5,6,7,2]=>0100011=>7
[5,3,1,4,8,6,7,2]=>0101011=>7
[7,5,1,6,3,4,8,2]=>0001111=>7
[7,1,5,8,4,3,6,2]=>0010111=>7
[5,8,1,6,4,3,7,2]=>0010111=>7
[5,3,1,8,4,6,7,2]=>0101011=>7
[8,3,1,5,4,6,7,2]=>0101011=>7
[8,2,6,1,4,5,3,7]=>0001101=>7
[6,2,8,1,4,5,3,7]=>0001101=>7
[7,2,6,1,5,3,4,8]=>0001110=>7
[2,8,6,1,5,3,4,7]=>0001101=>7
[4,2,1,5,6,3,8,7]=>1010101=>7
[7,1,2,5,8,3,4,6]=>0000011=>7
[7,1,4,5,6,8,3,2]=>0100011=>7
[8,5,6,7,1,4,3,2]=>0110011=>7
[7,6,8,5,1,4,3,2]=>0111011=>7
[6,8,7,5,1,4,3,2]=>0111011=>7
[2,6,7,1,4,5,3,8]=>0001010=>7
[3,5,1,7,4,6,8,2]=>0001011=>7
[7,1,5,6,4,8,3,2]=>0100111=>7
[7,1,6,5,4,8,3,2]=>0101111=>7
[2,7,6,1,4,5,3,8]=>0001110=>7
[5,7,6,8,1,4,3,2]=>0110011=>7
[7,8,6,5,1,4,3,2]=>0111101=>7
[4,3,1,6,5,8,7,2]=>0110111=>7
[5,3,1,2,4,8,7,6]=>0101011=>7
[5,3,6,2,1,8,7,4]=>1001111=>7
[5,3,7,2,1,4,6,8]=>1001010=>7
[5,3,7,2,8,4,1,6]=>0011011=>7
[7,2,4,5,8,3,1,6]=>0100011=>7
[7,2,4,5,1,3,6,8]=>0001010=>7
[6,2,4,5,1,8,7,3]=>0001111=>7
[3,1,4,5,2,8,7,6]=>0101011=>7
[1,6,4,5,2,8,7,3]=>0001111=>7
[3,7,4,5,1,2,6,8]=>0001010=>7
[3,7,4,5,8,2,1,6]=>1000011=>7
[1,7,4,2,6,3,5,8]=>0010110=>7
[8,7,4,5,2,1,6,3]=>1001111=>7
[6,3,7,1,8,4,2,5]=>0010111=>7
[5,7,4,1,6,3,2,8]=>0110110=>7
[1,7,4,8,6,3,2,5]=>0100111=>7
[5,7,4,8,6,3,1,2]=>0100111=>7
[4,8,3,5,6,7,1,2]=>0000011=>7
[1,8,3,5,6,7,2,4]=>0000011=>7
[4,8,1,5,6,7,2,3]=>0000011=>7
[4,1,3,5,6,7,2,8]=>0010010=>7
[5,8,4,3,6,1,2,7]=>0010101=>7
[5,3,8,4,1,7,2,6]=>0011011=>7
[1,5,8,4,6,7,3,2]=>0100011=>7
[1,4,8,3,6,7,5,2]=>0001011=>7
[4,3,8,2,1,7,5,6]=>1010011=>7
[3,8,4,2,6,1,5,7]=>0010101=>7
[1,8,2,5,6,7,4,3]=>0010011=>7
[3,8,1,5,6,7,4,2]=>0010011=>7
[3,8,2,5,6,7,1,4]=>0000011=>7
[8,2,1,5,6,7,4,3]=>1010011=>7
[8,1,3,5,6,7,4,2]=>0010011=>7
[7,1,4,3,6,2,5,8]=>0010110=>7
[7,8,4,3,6,2,1,5]=>1010101=>7
[4,3,1,8,5,7,6,2]=>0110111=>7
[4,3,1,6,8,7,5,2]=>0111011=>7
[6,3,1,8,2,7,4,5]=>0100111=>7
[6,3,5,8,2,7,1,4]=>0000111=>7
[7,5,4,8,6,2,1,3]=>1001111=>7
[7,1,4,8,6,2,3,5]=>0000111=>7
[7,5,4,1,6,2,3,8]=>0011110=>7
[7,6,4,5,8,1,3,2]=>0100111=>7
[1,6,4,5,8,2,3,7]=>0000101=>7
[7,3,6,1,8,2,4,5]=>0000111=>7
[1,7,6,5,8,3,4,2]=>0010111=>7
[1,8,5,3,6,7,4,2]=>0011011=>7
[8,3,5,2,1,7,4,6]=>1001011=>7
[8,4,1,5,6,7,3,2]=>0110011=>7
[8,4,2,5,6,7,1,3]=>0010011=>7
[4,1,8,5,6,7,3,2]=>0110011=>7
[1,2,8,5,6,7,3,4]=>0000011=>7
[4,2,1,5,6,7,3,8]=>1010010=>7
[1,5,3,8,6,7,4,2]=>0011011=>7
[1,4,5,8,6,7,3,2]=>0100011=>7
[4,3,5,8,1,7,2,6]=>0010011=>7
[3,5,4,8,6,1,2,7]=>0001101=>7
[1,4,8,5,6,7,2,3]=>0000011=>7
[3,4,8,5,6,7,1,2]=>0000011=>7
[2,7,1,5,6,3,4,8]=>0000110=>7
[2,7,1,4,3,6,5,8]=>0010110=>7
[4,3,7,2,5,6,8,1]=>0010011=>7
[2,6,3,1,4,5,8,7]=>0100101=>7
[3,7,1,4,2,6,8,5]=>0010011=>7
[3,7,1,5,6,2,8,4]=>0000111=>7
[4,7,1,5,6,8,2,3]=>0000011=>7
[8,5,2,6,7,3,1,4]=>0101011=>7
[8,4,2,6,3,7,1,5]=>0010111=>7
[8,4,2,3,5,7,1,6]=>0010011=>7
[4,7,3,2,5,6,1,8]=>0100110=>7
[5,3,4,6,2,8,1,7]=>0001101=>7
[5,3,7,4,2,8,1,6]=>0011011=>7
[6,4,7,2,3,8,1,5]=>0000111=>7
[6,5,7,2,8,3,1,4]=>0100111=>7
[5,3,7,2,4,8,6,1]=>0001111=>7
[2,6,5,1,8,3,4,7]=>0001101=>7
[8,7,6,1,4,5,2,3]=>0001111=>7
[8,7,6,1,3,2,5,4]=>0101111=>7
[8,7,2,4,3,1,6,5]=>0110111=>7
[8,7,4,5,1,6,2,3]=>0001111=>7
[8,5,6,4,1,7,2,3]=>0010111=>7
[8,5,6,3,1,2,7,4]=>0100111=>7
[8,4,6,2,3,1,7,5]=>0100111=>7
[8,3,5,4,2,1,7,6]=>1011011=>7
[5,7,3,4,2,1,8,6]=>1010011=>7
[6,7,4,2,3,1,8,5]=>0110011=>7
[6,7,5,3,1,2,8,4]=>0101011=>7
[6,7,5,4,1,8,2,3]=>0011011=>7
[10,3,1,2,4,5,6,7,8,9]=>010000001=>9
[10,4,1,2,3,5,6,7,8,9]=>001000001=>9
[5,10,1,2,3,4,6,7,8,9]=>000000001=>9
[10,6,1,2,3,4,5,7,8,9]=>000010001=>9
[10,7,1,2,3,4,5,6,8,9]=>000001001=>9
[8,10,1,2,3,4,5,6,7,9]=>000000001=>9
[2,11,1,3,4,5,6,7,8,9,10]=>0000000001=>10
[2,3,10,1,4,5,6,7,8,9]=>000000001=>9
[4,3,1,10,2,5,6,7,8,9]=>011000001=>9
[11,4,1,2,3,5,6,7,8,9,10]=>0010000001=>10
[5,4,1,2,10,3,6,7,8,9]=>001100001=>9
[5,11,1,2,3,4,6,7,8,9,10]=>0000000001=>10
[5,6,1,2,3,10,4,7,8,9]=>000010001=>9
[11,6,1,2,3,4,5,7,8,9,10]=>0000100001=>5
[7,6,1,2,3,4,10,5,8,9]=>000011001=>9
[11,7,1,2,3,4,5,6,8,9,10]=>0000010001=>10
[8,7,1,2,3,4,5,10,6,9]=>000001101=>9
[8,11,1,2,3,4,5,6,7,9,10]=>0000000001=>10
[8,9,1,2,3,4,5,6,10,7]=>000000011=>9
[11,9,1,2,3,4,5,6,7,8,10]=>0000000101=>10
[6,2,4,3,8,7,5,1]=>0011111=>7
[7,3,5,4,1,8,6,2]=>0011111=>7
[5,2,7,1,3,4,8,6]=>0001011=>7
[2,6,5,7,3,1,4,8]=>0100110=>7
[2,6,5,7,3,1,8,4]=>0100111=>7
[6,3,1,4,7,8,5,2]=>0101101=>7
[6,8,2,1,3,4,5,7]=>1000001=>7
[3,7,1,8,4,5,2,6]=>0001011=>7
[6,3,2,4,7,5,8,1]=>0100111=>7
[6,3,2,4,7,5,1,8]=>0101110=>7
[4,2,1,6,3,7,5,8]=>1010110=>7
[4,2,1,6,3,7,8,5]=>1010101=>7
[7,4,3,5,8,6,1,2]=>0010111=>7
[2,7,6,8,3,1,4,5]=>0100011=>7
[7,4,3,5,8,6,2,1]=>1010111=>7
[4,2,1,7,3,8,6,5]=>1010111=>7
[4,2,1,3,7,8,6,5]=>1010101=>7
[5,8,1,7,4,3,6,2]=>0010111=>7
[5,8,1,7,4,3,2,6]=>0110011=>7
[3,7,8,6,2,1,4,5]=>1000101=>7
[4,2,1,8,3,5,6,7]=>1010001=>7
[4,2,1,3,6,7,5,8]=>1010010=>7
[4,2,1,3,7,5,6,8]=>1010010=>7
[4,2,1,3,6,8,7,5]=>1010011=>7
[7,3,2,4,8,6,5,1]=>0101111=>7
[4,2,1,6,3,8,7,5]=>1010111=>7
[4,2,1,7,3,5,6,8]=>1010010=>7
[3,6,7,5,2,1,4,8]=>1001010=>7
[3,6,7,5,2,1,8,4]=>1001011=>7
[7,3,4,2,6,8,5,1]=>0011011=>7
[4,8,6,2,7,3,5,1]=>0001111=>7
[7,3,4,2,6,8,1,5]=>0010011=>7
[3,6,7,5,2,4,8,1]=>0001011=>7
[3,6,7,5,2,4,1,8]=>0011010=>7
[4,2,1,7,3,6,5,8]=>1010110=>7
[4,2,1,7,3,6,8,5]=>1010011=>7
[3,7,6,8,4,2,5,1]=>0011011=>7
[5,8,1,7,4,2,6,3]=>0010111=>7
[3,7,8,6,2,4,5,1]=>0001101=>7
[4,2,1,3,8,6,7,5]=>1010011=>7
[4,2,1,3,7,6,5,8]=>1010110=>7
[4,2,1,3,5,7,6,8]=>1010010=>7
[4,2,1,3,5,8,6,7]=>1010001=>7
[4,8,1,7,3,6,5,2]=>0001111=>7
[4,7,8,6,3,5,2,1]=>1001101=>7
[4,2,1,8,3,7,6,5]=>1010111=>7
[4,2,1,3,5,6,8,7]=>1010001=>7
[7,8,2,4,1,3,6,5]=>0010101=>7
[2,6,1,5,4,7,8,3]=>0001101=>7
[4,6,3,5,8,7,1,2]=>0000111=>7
[3,5,6,1,4,8,7,2]=>0000111=>7
[2,3,6,8,4,1,5,7]=>0010001=>7
[2,7,5,1,8,3,4,6]=>0001011=>7
[4,7,5,2,1,3,6,8]=>1001010=>7
[3,5,6,2,4,1,7,8]=>0010100=>7
[2,5,6,1,4,8,3,7]=>0000101=>7
[6,7,8,4,1,5,3,2]=>0111001=>7
[7,1,6,8,4,5,3,2]=>0101011=>7
[7,4,6,5,2,8,1,3]=>0001111=>7
[7,1,5,6,4,2,3,8]=>0010110=>7
[5,7,4,6,8,1,3,2]=>0100011=>7
[5,7,8,1,4,6,3,2]=>0100101=>7
[8,1,5,7,4,6,3,2]=>0100111=>7
[1,8,4,6,7,5,3,2]=>0101011=>7
[6,1,8,4,7,5,3,2]=>0101111=>7
[4,5,8,6,1,7,3,2]=>0100111=>7
[4,8,5,1,6,7,3,2]=>0101011=>7
[8,1,4,5,6,7,3,2]=>0100011=>7
[5,6,7,1,4,2,3,8]=>0010010=>7
[8,4,2,6,1,5,7,3]=>0010111=>7
[4,8,5,2,1,6,7,3]=>1001011=>7
[5,1,8,4,2,6,3,7]=>0011101=>7
[1,8,4,6,2,5,3,7]=>0001101=>7
[6,1,5,2,3,4,7,8]=>0001100=>7
[8,3,1,4,6,2,5,7]=>0100101=>7
[3,1,8,2,5,6,4,7]=>0100101=>7
[3,5,1,8,2,6,4,7]=>0001101=>7
[3,5,1,2,8,4,7,6]=>0001011=>7
[2,3,5,8,6,1,7,4]=>0000111=>7
[8,2,4,3,6,7,1,5]=>0010011=>7
[3,2,8,5,7,1,6,4]=>0100111=>7
[3,6,2,8,5,1,7,4]=>0001111=>7
[6,2,1,8,4,7,5,3]=>1001111=>7
[2,8,7,1,4,6,5,3]=>0001111=>7
[8,2,7,1,5,4,6,3]=>0001111=>7
[7,2,5,3,6,8,1,4]=>0001011=>7
[7,3,1,5,6,2,4,8]=>0100110=>7
[3,7,5,1,6,2,4,8]=>0001110=>7
[2,7,3,6,5,8,1,4]=>0000111=>7
[8,7,2,4,1,6,5,3]=>0011111=>7
[1,8,7,2,3,6,5,4]=>0001111=>7
[1,7,8,2,6,4,3,5]=>0010101=>7
[1,7,3,8,2,6,4,5]=>0000111=>7
[1,2,7,3,6,4,5,8]=>0000110=>7
[7,1,5,8,3,2,4,6]=>0100011=>7
[1,6,2,8,4,3,7,5]=>0010111=>7
[1,3,8,7,2,4,6,5]=>0000111=>7
[1,8,3,7,2,5,4,6]=>0001011=>7
[8,1,4,7,3,2,5,6]=>0100011=>7
[4,7,8,1,3,2,5,6]=>0100001=>7
[7,1,4,2,3,5,6,8]=>0010010=>7
[8,2,1,4,7,3,5,6]=>1000011=>7
[2,1,3,8,4,6,7,5]=>1000011=>7
[1,2,3,4,8,5,7,6]=>0000011=>7
[2,4,7,5,6,8,3,1]=>0100011=>7
[2,4,8,7,5,6,3,1]=>0100111=>7
[2,5,3,8,4,7,6,1]=>0001111=>7
[2,8,5,7,3,6,4,1]=>0010111=>7
[3,1,8,5,2,7,6,4]=>0101111=>7
[2,8,6,3,4,5,7,1]=>0000111=>7
[2,5,7,3,4,8,6,1]=>0000111=>7
[8,3,7,6,1,4,5,2]=>0001111=>7
[3,1,7,8,2,5,6,4]=>0100101=>7
[7,3,8,5,1,6,4,2]=>0011111=>7
[7,5,1,2,3,4,8,6]=>0001011=>7
[4,8,1,5,2,7,3,6]=>0001011=>7
[4,1,2,5,3,8,7,6]=>0011011=>7
[4,3,6,8,7,5,1,2]=>0011011=>7
[5,4,1,8,2,7,6,3]=>0011111=>7
[6,4,8,1,2,5,3,7]=>0001101=>7
[6,7,3,1,4,8,5,2]=>0101011=>7
[5,4,1,6,8,2,7,3]=>0011011=>7
[5,4,7,1,2,8,6,3]=>0001111=>7
[6,5,1,2,3,7,8,4]=>0001101=>7
[6,5,1,2,3,4,8,7]=>0001101=>7
[6,7,4,1,2,5,3,8]=>0011010=>7
[2,4,6,3,5,7,1,8]=>0000110=>7
[1,4,6,3,7,2,5,8]=>0000110=>7
[8,6,2,5,3,1,7,4]=>0101111=>7
[8,2,3,4,5,1,7,6]=>0001011=>7
[1,8,3,4,2,7,5,6]=>0010011=>7
[2,8,3,4,1,6,7,5]=>0010011=>7
[8,7,2,3,1,6,5,4]=>0101111=>7
[3,8,2,4,6,1,7,5]=>0000111=>7
[7,8,2,4,3,1,6,5]=>0110101=>7
[4,5,8,2,3,1,7,6]=>0100011=>7
[5,1,4,3,7,2,6,8]=>0011010=>7
[6,1,3,5,7,2,4,8]=>0000110=>7
[2,1,4,7,5,3,6,8]=>1001010=>7
[7,1,3,6,2,5,4,8]=>0001110=>7
[8,1,3,6,2,4,7,5]=>0000111=>7
[2,1,8,3,7,5,4,6]=>1001011=>7
[7,1,8,2,5,6,3,4]=>0000111=>7
[6,1,5,8,2,7,3,4]=>0000111=>7
[4,5,2,8,1,6,7,3]=>0001011=>7
[6,2,5,8,1,4,7,3]=>0000111=>7
[3,2,8,5,1,6,7,4]=>0101011=>7
[8,2,7,1,4,6,5,3]=>0001111=>7
[1,3,8,2,5,7,4,6]=>0000011=>7
[2,8,7,1,6,4,5,3]=>0001111=>7
[3,8,7,1,5,6,4,2]=>0010111=>7
[3,4,8,5,6,1,7,2]=>0000111=>7
[8,3,7,4,1,6,5,2]=>0011111=>7
[1,4,8,6,2,7,3,5]=>0000111=>7
[8,4,5,7,1,6,3,2]=>0100111=>7
[3,5,6,8,4,1,7,2]=>0010011=>7
[6,2,3,1,5,4,7,8]=>0101100=>7
[7,2,3,1,4,6,5,8]=>0100110=>7
[8,2,3,1,4,5,7,6]=>0100011=>7
[8,5,1,3,2,4,7,6]=>0101011=>7
[7,5,1,3,2,6,4,8]=>0101110=>7
[2,6,1,4,5,3,7,8]=>0001100=>7
[3,6,4,1,5,2,7,8]=>0011100=>7
[4,5,6,1,3,2,7,8]=>0100100=>7
[4,5,7,1,2,6,3,8]=>0000110=>7
[3,7,4,1,2,6,5,8]=>0010110=>7
[6,7,1,4,2,5,3,8]=>0011010=>7
[2,7,1,3,5,6,4,8]=>0000110=>7
[8,6,1,2,4,3,7,5]=>0010111=>7
[2,8,1,3,4,6,7,5]=>0000011=>7
[7,8,1,2,5,3,6,4]=>0001101=>7
[3,8,4,1,2,5,7,6]=>0010011=>7
[1,2,6,7,5,3,8,4]=>0001011=>7
[1,7,5,3,2,8,4,6]=>0101011=>7
[1,6,7,5,3,8,4,2]=>0011011=>7
[1,6,5,7,2,3,8,4]=>0000111=>7
[1,3,8,2,6,5,7,4]=>0000111=>7
[1,2,5,7,6,3,4,8]=>0000110=>7
[1,3,4,8,2,5,7,6]=>0000011=>7
[1,5,7,6,2,3,4,8]=>0000110=>7
[1,5,3,8,2,6,4,7]=>0001101=>7
[1,4,8,3,2,5,7,6]=>0100011=>7
[1,4,8,3,5,7,6,2]=>0000111=>7
[1,2,4,8,3,5,7,6]=>0000011=>7
[1,3,8,4,2,6,7,5]=>0010011=>7
[1,4,8,2,3,5,7,6]=>0000011=>7
[6,5,7,3,8,2,4,1]=>0010111=>7
[4,2,6,7,5,8,3,1]=>0110011=>7
[6,7,5,2,1,8,4,3]=>1011011=>7
[3,4,8,7,5,2,1,6]=>1001011=>7
[1,7,5,2,8,4,6,3]=>0001111=>7
[5,6,8,3,1,7,2,4]=>0100011=>7
[6,1,4,8,3,2,7,5]=>0100111=>7
[3,4,7,1,8,6,2,5]=>0000111=>7
[3,4,6,8,2,1,5,7]=>1000001=>7
[3,8,2,5,6,1,4,7]=>0000101=>7
[3,5,2,8,6,4,1,7]=>0011101=>7
[4,2,5,7,3,8,6,1]=>0010111=>7
[7,4,2,5,3,8,1,6]=>0011011=>7
[3,1,2,8,5,6,4,7]=>0100101=>7
[5,2,1,6,8,3,4,7]=>1001001=>7
[5,2,6,8,4,1,3,7]=>0011001=>7
[1,5,6,8,3,4,2,7]=>0010001=>7
[4,5,8,1,6,3,2,7]=>0100101=>7
[4,5,1,6,8,3,2,7]=>0101001=>7
[4,5,7,3,8,2,6,1]=>0000111=>7
[6,4,3,7,8,2,5,1]=>0011101=>7
[6,4,3,1,7,8,2,5]=>0110101=>7
[4,5,3,1,7,8,2,6]=>0101001=>7
[7,1,3,5,4,8,2,6]=>0001011=>7
[7,5,2,8,1,4,3,6]=>0011011=>7
[5,7,3,8,4,6,1,2]=>0000111=>7
[1,4,5,7,3,8,6,2]=>0000111=>7
[4,6,3,7,8,5,2,1]=>1001101=>7
[5,3,6,7,8,4,2,1]=>1011001=>7
[1,5,3,6,7,8,4,2]=>0011001=>7
[4,6,1,7,3,8,5,2]=>0001111=>7
[6,3,7,1,8,4,5,2]=>0001111=>7
[6,7,2,4,8,1,5,3]=>0001011=>7
[2,6,1,4,7,3,8,5]=>0000111=>7
[3,2,5,6,7,8,1,4]=>0100001=>7
[5,2,3,6,7,8,4,1]=>0011001=>7
[6,7,1,3,2,8,4,5]=>0100011=>7
[6,2,7,1,3,4,8,5]=>0000111=>7
[5,2,1,7,3,8,4,6]=>1001011=>7
[6,4,2,7,1,8,3,5]=>0010111=>7
[4,2,6,3,7,8,1,5]=>0010101=>7
[4,2,6,3,7,8,5,1]=>0011101=>7
[6,7,3,8,2,4,5,1]=>0001011=>7
[3,6,2,7,4,1,8,5]=>0010111=>7
[6,7,3,2,1,4,8,5]=>1100011=>7
[7,1,8,3,4,2,5,6]=>0010011=>7
[7,2,4,1,8,3,5,6]=>0010011=>7
[7,2,4,8,6,1,3,5]=>0000111=>7
[7,3,4,8,6,2,1,5]=>1000111=>7
[3,5,7,2,1,8,6,4]=>1000111=>7
[6,7,8,3,2,5,1,4]=>0101001=>7
[6,3,7,8,2,5,4,1]=>0011101=>7
[2,6,7,4,8,5,3,1]=>0101011=>7
[6,2,4,7,1,8,5,3]=>0001111=>7
[4,6,2,7,1,8,5,3]=>0001111=>7
[1,7,4,8,5,2,6,3]=>0001111=>7
[1,3,7,8,5,2,6,4]=>0001101=>7
[2,5,7,8,1,6,3,4]=>0000101=>7
[6,3,7,1,8,2,5,4]=>0001111=>7
[1,6,4,7,8,2,5,3]=>0001101=>7
[2,5,6,1,7,8,4,3]=>0010101=>7
[5,6,1,2,7,8,4,3]=>0010101=>7
[6,7,2,1,8,5,3,4]=>1001011=>7
[6,7,2,8,5,4,1,3]=>0011011=>7
[1,6,7,4,8,5,3,2]=>0101011=>7
[1,8,2,4,6,3,5,7]=>0000101=>7
[7,2,8,3,5,1,4,6]=>0001011=>7
[1,3,7,4,6,2,5,8]=>0000110=>7
[1,5,7,4,3,6,2,8]=>0010110=>7
[1,8,4,5,3,6,2,7]=>0001101=>7
[1,8,5,3,4,7,2,6]=>0001011=>7
[1,8,2,4,6,3,7,5]=>0000111=>7
[1,8,2,5,4,6,7,3]=>0001011=>7
[3,6,2,7,1,4,5,8]=>0000110=>7
[6,3,8,1,2,4,7,5]=>0000111=>7
[1,3,7,4,6,2,8,5]=>0000111=>7
[1,4,7,5,2,6,8,3]=>0001011=>7
[4,5,2,7,1,3,8,6]=>0001011=>7
[4,5,2,3,6,1,8,7]=>0001101=>7
[4,6,5,3,7,1,8,2]=>0001111=>7
[2,5,4,7,1,6,8,3]=>0001011=>7
[4,2,3,8,6,7,1,5]=>0010011=>7
[6,2,4,8,5,1,7,3]=>0001111=>7
[5,2,4,8,1,3,7,6]=>0001011=>7
[6,2,5,4,8,3,7,1]=>0001111=>7
[6,4,3,5,8,2,7,1]=>0010111=>7
[5,2,3,4,8,1,6,7]=>0001001=>7
[3,5,2,4,7,1,6,8]=>0001010=>7
[5,3,4,8,1,6,2,7]=>0001101=>7
[4,5,3,7,1,6,2,8]=>0001110=>7
[6,2,4,8,5,1,3,7]=>0001101=>7
[7,6,3,8,5,1,2,4]=>0001111=>7
[1,4,3,7,8,2,5,6]=>0010001=>7
[4,2,6,7,3,8,1,5]=>0010011=>7
[1,5,7,4,2,8,6,3]=>0010111=>7
[1,3,7,2,8,6,4,5]=>0000111=>7
[1,4,3,7,8,6,2,5]=>0010101=>7
[1,5,3,6,8,2,7,4]=>0001011=>7
[4,5,2,7,1,8,6,3]=>0001111=>7
[4,3,6,5,7,8,1,2]=>0010101=>7
[4,2,3,5,6,8,1,7]=>0010001=>7
[5,2,6,4,7,8,3,1]=>0101101=>7
[4,2,6,7,3,8,5,1]=>0011011=>7
[3,2,5,6,8,1,7,4]=>0100011=>7
[6,4,5,2,3,8,7,1]=>0001111=>7
[8,4,6,7,5,2,3,1]=>0101011=>7
[4,6,5,2,3,1,8,7]=>0101101=>7
[6,4,2,5,3,1,8,7]=>0111101=>7
[6,4,2,5,3,8,7,1]=>0011111=>7
[8,6,4,7,5,2,3,1]=>0101111=>7
[8,6,2,7,4,5,3,1]=>0101111=>7
[6,4,2,5,8,7,3,1]=>0110111=>7
[4,6,2,5,3,8,7,1]=>0001111=>7
[4,6,5,2,3,8,7,1]=>0001111=>7
[6,8,7,4,5,2,3,1]=>0101011=>7
[4,8,6,7,5,2,3,1]=>0101011=>7
[6,8,4,7,5,2,3,1]=>0101011=>7
[6,8,2,7,4,5,3,1]=>0101011=>7
[8,6,4,7,2,5,3,1]=>0101111=>7
[8,6,2,4,7,5,3,1]=>0101111=>7
[6,8,2,4,7,5,3,1]=>0101011=>7
[4,8,2,6,7,5,3,1]=>0101011=>7
[2,8,4,6,7,5,3,1]=>0101011=>7
[2,8,6,7,4,5,3,1]=>0101011=>7
[6,8,7,2,4,5,3,1]=>0101011=>7
[2,6,4,5,8,7,3,1]=>0100111=>7
[2,6,4,8,7,5,3,1]=>0101111=>7
[4,6,2,8,7,5,3,1]=>0101111=>7
[8,2,4,6,7,5,3,1]=>0101011=>7
[6,2,4,8,7,5,3,1]=>0101111=>7
[4,2,6,8,7,5,3,1]=>0111011=>7
[4,2,6,5,8,7,3,1]=>0110111=>7
[6,2,4,5,8,7,3,1]=>0100111=>7
[8,2,6,7,4,5,3,1]=>0101011=>7
[8,6,7,2,4,5,3,1]=>0101011=>7
[6,4,5,2,8,7,3,1]=>0101111=>7
[4,2,3,6,8,7,5,1]=>0011011=>7
[6,4,5,8,7,2,3,1]=>0100111=>7
[8,6,7,4,2,5,3,1]=>0111011=>7
[8,4,6,7,2,5,3,1]=>0101011=>7
[6,4,8,7,2,5,3,1]=>0101111=>7
[6,2,8,7,4,5,3,1]=>0101111=>7
[6,4,8,7,5,2,3,1]=>0101111=>7
[4,6,8,7,5,2,3,1]=>0101011=>7
[4,6,5,8,7,2,3,1]=>0100111=>7
[2,1,6,8,7,4,5,3]=>1001011=>7
[2,6,8,7,4,5,3,1]=>0101011=>7
[2,4,8,6,7,5,3,1]=>0101011=>7
[4,2,8,6,7,5,3,1]=>0111011=>7
[6,2,8,4,7,5,3,1]=>0101111=>7
[8,2,6,4,7,5,3,1]=>0101111=>7
[6,4,8,2,7,5,3,1]=>0101111=>7
[4,6,8,2,7,5,3,1]=>0101011=>7
[2,6,8,4,7,5,3,1]=>0101011=>7
[4,6,8,7,2,5,3,1]=>0101011=>7
[4,6,5,8,2,7,3,1]=>0100111=>7
[2,1,6,8,4,7,5,3]=>1001011=>7
[2,1,8,6,4,7,5,3]=>1001111=>7
[6,8,7,4,2,5,3,1]=>0111011=>7
[2,8,6,4,7,5,3,1]=>0101111=>7
[4,8,6,2,7,5,3,1]=>0101111=>7
[9,8,7,3,6,2,5,1,4]=>00011111=>8
[9,8,7,6,3,5,1,2,4]=>00011111=>8
[9,4,8,3,7,2,6,1,5]=>00001111=>8
[9,8,4,7,3,6,1,2,5]=>00001111=>8
[9,8,7,2,4,6,1,3,5]=>00001111=>8
[9,8,7,4,6,1,2,3,5]=>00001111=>8
[5,9,4,8,3,7,1,2,6]=>00000111=>8
[9,5,8,2,4,7,1,3,6]=>00000111=>8
[9,5,8,4,7,1,2,3,6]=>00000111=>8
[9,8,3,5,7,1,2,4,6]=>00000111=>8
[9,8,5,7,1,2,3,4,6]=>00000111=>8
[6,9,3,5,8,1,2,4,7]=>00000011=>8
[6,9,5,8,1,2,3,4,7]=>00000011=>8
[9,2,4,6,8,1,3,5,7]=>00000011=>8
[9,4,6,8,1,2,3,5,7]=>00000011=>8
[9,6,8,1,2,3,4,5,7]=>00000011=>8
[3,5,7,9,1,2,4,6,8]=>00000001=>8
[5,7,9,1,2,3,4,6,8]=>00000001=>8
[7,9,1,2,3,4,5,6,8]=>00000001=>8
[10,9,8,7,6,5,2,4,1,3]=>001111111=>9
[10,9,8,7,3,6,2,5,1,4]=>000111111=>9
[10,9,8,7,6,3,5,1,2,4]=>000111111=>9
[10,9,4,8,3,7,2,6,1,5]=>000011111=>9
[10,9,8,4,7,3,6,1,2,5]=>000011111=>9
[10,9,8,7,2,4,6,1,3,5]=>000011111=>9
[10,9,8,7,4,6,1,2,3,5]=>000011111=>9
[10,5,9,4,8,3,7,1,2,6]=>000001111=>9
[10,9,5,8,2,4,7,1,3,6]=>000001111=>9
[10,9,5,8,4,7,1,2,3,6]=>000001111=>9
[10,9,8,3,5,7,1,2,4,6]=>000001111=>9
[10,9,8,5,7,1,2,3,4,6]=>000001111=>9
[6,10,5,9,2,4,8,1,3,7]=>000000111=>9
[6,10,5,9,4,8,1,2,3,7]=>000000111=>9
[10,3,6,9,2,5,8,1,4,7]=>000000111=>9
[10,6,9,3,5,8,1,2,4,7]=>000000111=>9
[10,6,9,5,8,1,2,3,4,7]=>000000111=>9
[10,9,2,4,6,8,1,3,5,7]=>000000111=>9
[10,9,4,6,8,1,2,3,5,7]=>000000111=>9
[10,9,6,8,1,2,3,4,5,7]=>000000111=>9
[4,7,10,3,6,9,1,2,5,8]=>000000011=>9
[7,10,2,4,6,9,1,3,5,8]=>000000011=>9
[7,10,4,6,9,1,2,3,5,8]=>000000011=>9
[7,10,6,9,1,2,3,4,5,8]=>000000011=>9
[10,3,5,7,9,1,2,4,6,8]=>000000011=>9
[10,5,7,9,1,2,3,4,6,8]=>000000011=>9
[10,7,9,1,2,3,4,5,6,8]=>000000011=>9
[4,6,8,10,1,2,3,5,7,9]=>000000001=>9
[6,8,10,1,2,3,4,5,7,9]=>000000001=>9
[4,2,5,6,3,8,1,7]=>0010101=>7
[6,2,5,7,4,8,3,1]=>0100111=>7
[8,5,2,1,4,7,6,3]=>1001111=>7
[6,7,3,2,5,8,4,1]=>0110011=>7
[3,2,6,4,8,1,5,7]=>0100101=>7
[2,3,6,4,7,8,5,1]=>0001101=>7
[7,5,1,8,3,4,6,2]=>0001111=>7
[5,7,8,2,6,3,4,1]=>0010101=>7
[7,1,6,3,5,8,4,2]=>0010111=>7
[6,3,1,7,8,4,5,2]=>0101101=>7
[5,3,6,7,4,1,8,2]=>0011011=>7
[7,3,1,2,5,8,6,4]=>0100111=>7
[1,6,3,5,2,4,8,7]=>0001101=>7
[3,4,8,2,7,5,1,6]=>0001011=>7
[6,3,2,8,5,7,4,1]=>0110111=>7
[3,8,4,7,2,5,6,1]=>0000111=>7
[2,4,8,1,5,3,7,6]=>0001011=>7
[3,4,8,1,6,2,7,5]=>0000111=>7
[1,8,4,6,7,3,5,2]=>0001011=>7
[8,1,6,3,4,5,7,2]=>0000111=>7
[7,6,5,4,1,2,8,3]=>0011111=>7
[5,7,6,8,3,4,2,1]=>1010011=>7
[2,8,1,6,5,7,4,3]=>0010111=>7
[4,6,8,2,5,3,7,1]=>0001011=>7
[5,2,3,7,6,1,8,4]=>0001111=>7
[8,1,2,4,6,7,3,5]=>0000011=>7
[5,2,3,7,4,8,6,1]=>0001111=>7
[5,2,6,8,4,3,1,7]=>0111001=>7
[7,8,1,5,4,3,6,2]=>0011101=>7
[7,2,4,8,5,3,6,1]=>0001111=>7
[3,7,5,1,8,4,6,2]=>0001111=>7
[2,7,8,5,4,6,1,3]=>0001101=>7
[5,7,4,3,8,6,2,1]=>1010111=>7
[4,8,1,6,3,5,2,7]=>0001101=>7
[8,3,1,7,4,2,5,6]=>0110011=>7
[3,1,8,2,4,5,7,6]=>0100011=>7
[8,1,3,7,6,2,4,5]=>0000111=>7
[2,3,6,8,7,1,4,5]=>0000011=>7
[4,3,2,8,5,7,1,6]=>0110011=>7
[3,6,4,2,8,5,7,1]=>0010111=>7
[4,7,3,2,5,1,8,6]=>0101011=>7
[3,2,4,7,5,8,6,1]=>0100111=>7
[4,2,3,8,6,5,1,7]=>0011101=>7
[2,4,3,5,1,8,6,7]=>0011001=>7
[3,2,8,1,4,6,5,7]=>0100101=>7
[3,7,8,5,6,1,2,4]=>0000101=>7
[3,6,1,8,4,7,2,5]=>0000111=>7
[3,1,6,8,4,7,2,5]=>0100011=>7
[4,1,6,8,3,2,7,5]=>0110011=>7
[4,6,1,8,3,2,7,5]=>0100111=>7
[4,7,8,1,3,2,6,5]=>0100101=>7
[4,7,8,3,1,2,6,5]=>0100101=>7
[2,7,8,3,4,6,5,1]=>0001101=>7
[4,7,8,2,1,3,6,5]=>1000101=>7
[4,6,1,8,2,3,7,5]=>0000111=>7
[4,1,6,8,2,3,7,5]=>0010011=>7
[4,5,1,2,8,3,7,6]=>0001011=>7
[4,5,2,1,8,3,7,6]=>1001011=>7
[4,6,2,8,1,3,7,5]=>0000111=>7
[3,6,2,8,4,7,1,5]=>0000111=>7
[2,3,6,8,4,7,5,1]=>0001011=>7
[3,2,6,8,4,7,1,5]=>0100011=>7
[4,2,6,8,3,1,7,5]=>0110011=>7
[4,2,5,1,8,3,7,6]=>0011011=>7
[4,1,2,5,8,3,7,6]=>0010011=>7
[5,1,2,4,3,8,7,6]=>0011011=>7
[5,2,4,1,3,8,7,6]=>0011011=>7
[4,2,5,3,8,1,7,6]=>0011011=>7
[3,2,5,4,8,7,1,6]=>0101011=>7
[3,5,2,4,8,7,1,6]=>0001011=>7
[5,4,2,1,3,8,7,6]=>1011011=>7
[5,1,4,2,3,8,7,6]=>0011011=>7
[5,4,1,3,2,8,7,6]=>0111011=>7
[5,4,3,1,2,8,7,6]=>0111011=>7
[4,5,3,1,8,2,7,6]=>0101011=>7
[4,5,1,3,8,2,7,6]=>0001011=>7
[3,1,5,4,8,7,2,6]=>0101011=>7
[3,5,1,4,8,7,2,6]=>0001011=>7
[3,5,4,1,8,7,2,6]=>0011011=>7
[3,6,5,8,7,1,2,4]=>0000111=>7
[2,5,6,8,7,3,4,1]=>0010011=>7
[3,4,5,1,8,7,2,6]=>0001011=>7
[3,4,1,5,8,7,2,6]=>0010011=>7
[4,1,3,5,8,2,7,6]=>0010011=>7
[4,3,6,8,2,1,7,5]=>1010011=>7
[2,4,6,8,3,7,5,1]=>0001011=>7
[3,4,5,2,8,7,1,6]=>0001011=>7
[5,3,1,4,2,8,7,6]=>0111011=>7
[5,1,3,4,2,8,7,6]=>0011011=>7
[5,1,3,2,4,8,7,6]=>0101011=>7
[5,3,2,1,4,8,7,6]=>1101011=>7
[4,3,2,5,8,1,7,6]=>0110011=>7
[3,4,2,5,8,7,1,6]=>0010011=>7
[3,2,4,5,8,7,1,6]=>0100011=>7
[4,2,3,5,8,1,7,6]=>0010011=>7
[5,2,3,1,4,8,7,6]=>0101011=>7
[5,2,1,3,4,8,7,6]=>1001011=>7
[5,1,2,3,4,8,7,6]=>0001011=>7
[8,6,2,5,4,1,3,7]=>0011101=>7
[6,5,7,4,2,8,3,1]=>0110111=>7
[6,7,5,3,8,2,4,1]=>0011011=>7
[8,2,1,6,3,4,5,7]=>1000101=>7
[8,3,5,6,2,4,1,7]=>0010101=>7
[8,6,2,1,3,5,4,7]=>1001101=>7
[8,1,2,3,4,6,5,7]=>0000101=>7
[6,2,3,7,8,4,5,1]=>0001101=>7
[7,5,8,2,6,3,4,1]=>0010111=>7
[7,3,1,6,5,8,4,2]=>0110111=>7
[1,5,6,7,3,4,8,2]=>0000011=>7
[6,7,8,2,1,4,5,3]=>1001001=>7
[8,4,7,6,2,1,3,5]=>1000111=>7
[5,3,8,4,7,2,6,1]=>0001111=>7
[8,1,3,7,6,4,2,5]=>0010111=>7
[5,3,1,7,8,6,2,4]=>0101101=>7
[3,5,8,2,7,1,6,4]=>0000111=>7
[6,2,8,5,3,1,7,4]=>0101111=>7
[8,2,6,4,7,1,3,5]=>0000111=>7
[3,4,2,8,5,1,7,6]=>0011011=>7
[3,8,6,5,2,1,7,4]=>1001111=>7
[8,3,7,4,2,5,6,1]=>0010111=>7
[4,8,5,7,2,1,3,6]=>1000011=>7
[3,4,1,8,2,6,7,5]=>0010011=>7
[8,4,6,3,7,1,5,2]=>0001111=>7
[6,8,3,4,1,5,7,2]=>0010011=>7
[5,1,7,6,2,8,4,3]=>0011111=>7
[6,8,2,5,7,4,1,3]=>0010011=>7
[2,8,5,6,7,1,3,4]=>0000011=>7
[2,5,7,6,3,1,8,4]=>0100111=>7
[4,2,8,3,1,5,6,7]=>0110001=>7
[2,5,7,3,8,4,6,1]=>0000111=>7
[4,2,7,1,8,5,3,6]=>0011011=>7
[4,2,1,8,7,5,6,3]=>1010111=>7
[8,3,6,7,1,5,4,2]=>0011011=>7
[1,3,7,5,8,6,4,2]=>0010111=>7
[5,7,8,4,3,1,6,2]=>0110101=>7
[2,7,4,5,8,3,6,1]=>0000111=>7
[3,5,7,1,4,8,6,2]=>0000111=>7
[7,2,8,5,1,4,6,3]=>0001111=>7
[1,6,5,3,8,4,2,7]=>0011101=>7
[5,7,4,8,3,6,2,1]=>1000111=>7
[4,8,6,1,3,5,2,7]=>0001101=>7
[1,8,3,2,4,7,5,6]=>0100011=>7
[8,4,3,2,5,7,1,6]=>0110011=>7
[3,6,4,8,2,5,7,1]=>0000111=>7
[4,3,7,2,5,8,1,6]=>0010011=>7
[3,2,4,7,8,5,6,1]=>0100101=>7
[2,6,4,3,8,5,1,7]=>0011101=>7
[3,8,2,1,6,4,5,7]=>1000101=>7
[8,2,1,3,4,5,7,6]=>1000011=>7
[4,6,8,3,2,1,5,7]=>1100001=>7
[3,2,6,8,5,4,1,7]=>0111001=>7
[7,3,8,2,5,4,1,6]=>0011011=>7
[4,2,5,3,8,7,6,1]=>0011111=>7
[4,8,2,6,5,3,1,7]=>0101101=>7
[2,6,8,5,4,1,3,7]=>0011001=>7
[3,1,8,6,5,4,2,7]=>0111101=>7
[5,4,8,7,3,2,6,1]=>0101111=>7
[6,4,8,3,7,2,5,1]=>0001111=>7
[4,7,3,6,2,1,8,5]=>1000111=>7
[5,4,3,7,1,8,2,6]=>0011011=>7
[7,3,8,5,1,4,2,6]=>0011011=>7
[5,4,8,7,6,2,1,3]=>1001111=>7
[3,8,1,5,7,4,6,2]=>0000111=>7
[4,8,5,7,3,1,6,2]=>0100111=>7
[1,5,4,8,3,7,6,2]=>0001111=>7
[4,8,3,6,7,1,5,2]=>0001011=>7
[4,7,8,3,1,6,5,2]=>0101101=>7
[8,7,5,3,6,4,2,1]=>1011111=>7
[4,6,1,3,8,7,5,2]=>0001111=>7
[6,8,2,1,7,4,5,3]=>1001011=>7
[3,7,1,6,4,2,8,5]=>0010111=>7
[3,1,2,7,5,6,8,4]=>0100011=>7
[3,6,1,2,7,5,8,4]=>0000111=>7
[3,7,6,2,5,8,1,4]=>0000111=>7
[3,6,2,5,8,7,4,1]=>0010111=>7
[8,5,2,3,6,7,4,1]=>0011011=>7
[4,7,2,6,3,8,1,5]=>0000111=>7
[6,3,2,4,8,7,5,1]=>0101111=>7
[3,7,2,4,6,1,8,5]=>0000111=>7
[5,3,7,2,8,1,4,6]=>0001011=>7
[6,3,2,8,7,5,1,4]=>0101111=>7
[7,3,8,2,6,5,1,4]=>0001111=>7
[6,4,8,7,2,5,1,3]=>0001111=>7
[2,5,4,8,1,7,6,3]=>0001111=>7
[5,2,8,1,7,6,3,4]=>0001111=>7
[6,2,1,3,8,7,5,4]=>1001111=>7
[3,6,1,8,7,5,2,4]=>0001111=>7
[5,6,1,2,8,7,4,3]=>0010111=>7
[7,5,2,8,1,6,4,3]=>0011111=>7
[2,7,6,8,1,5,4,3]=>0011011=>7
[7,8,5,1,6,2,4,3]=>0011101=>7
[7,4,8,6,1,2,5,3]=>0001111=>7
[7,2,1,8,3,6,5,4]=>1001111=>7
[5,8,7,1,6,4,3,2]=>0110111=>7
[7,6,5,4,3,2,9,8,1]=>01111111=>8
[10,7,6,5,4,3,2,1,9,8]=>111111011=>9
[9,6,5,4,3,2,8,1,7]=>01111011=>8
[9,7,5,4,3,2,1,8,6]=>11110111=>8
[8,5,4,3,7,2,1,6]=>1011011=>7
[6,5,4,8,3,2,7,1]=>0101111=>7
[7,6,5,4,3,9,2,8,1]=>00111111=>8
[7,6,4,3,2,8,5,1]=>0111111=>7
[8,6,5,4,3,2,9,7,1]=>01111111=>8
[8,7,6,5,4,3,2,10,9,1]=>011111111=>9
[7,3,1,4,8,2,5,6]=>0100011=>7
[7,4,1,2,5,8,3,6]=>0010011=>7
[6,7,4,2,5,1,3,8]=>0011010=>7
[5,7,2,4,6,8,1,3]=>0000011=>7
[4,7,5,1,6,2,8,3]=>0001111=>7
[5,7,4,6,3,1,8,2]=>0100111=>7
[7,5,1,4,3,2,8,6]=>0111011=>7
[8,6,4,2,3,7,5,1]=>0011111=>7
[6,4,7,1,3,8,5,2]=>0001111=>7
[5,4,2,7,3,1,6,8]=>0111010=>7
[4,5,1,2,7,6,8,3]=>0001011=>7
[5,4,6,8,3,1,2,7]=>0101001=>7
[6,4,8,1,3,7,2,5]=>0000111=>7
[4,6,1,3,8,5,2,7]=>0001101=>7
[1,3,8,4,5,7,2,6]=>0000011=>7
[2,6,7,4,5,3,1,8]=>0101010=>7
[2,6,8,4,3,5,1,7]=>0011001=>7
[1,3,7,4,2,8,5,6]=>0010011=>7
[4,6,1,3,7,2,5,8]=>0000110=>7
[7,5,8,6,2,1,3,4]=>1000111=>7
[2,8,1,3,6,5,4,7]=>0001101=>7
[2,8,7,3,5,4,1,6]=>0011011=>7
[3,4,2,6,8,7,1,5]=>0010011=>7
[7,4,2,3,6,1,8,5]=>0010111=>7
[8,4,2,3,6,5,7,1]=>0010111=>7
[7,3,8,4,1,2,6,5]=>0010111=>7
[6,8,3,2,7,1,5,4]=>0101011=>7
[2,8,5,6,3,7,1,4]=>0000111=>7
[7,4,2,5,8,1,6,3]=>0010111=>7
[2,7,8,3,4,5,1,6]=>0001001=>7
[3,7,1,2,4,6,5,8]=>0000110=>7
[7,5,6,8,2,1,4,3]=>1010011=>7
[3,1,6,5,2,7,4,8]=>0101110=>7
[2,8,6,5,3,4,1,7]=>0011101=>7
[1,7,2,3,5,6,8,4]=>0000011=>7
[3,7,4,2,1,5,6,8]=>1010010=>7
[3,4,6,2,8,5,7,1]=>0000111=>7
[4,2,1,7,5,8,3,6]=>1010011=>7
[4,7,2,6,5,1,3,8]=>0001110=>7
[3,7,4,1,2,5,8,6]=>0010011=>7
[4,7,1,6,5,2,8,3]=>0001111=>7
[4,7,3,6,5,1,8,2]=>0001111=>7
[4,3,7,1,6,8,5,2]=>0011011=>7
[4,2,1,7,5,6,8,3]=>1010011=>7
[3,2,4,8,6,7,1,5]=>0100011=>7
[4,2,6,8,7,3,1,5]=>0110011=>7
[3,4,6,1,8,5,2,7]=>0001101=>7
[4,1,6,7,5,8,2,3]=>0010011=>7
[4,3,6,7,5,1,2,8]=>0011010=>7
[4,3,7,1,6,8,2,5]=>0010011=>7
[4,3,7,5,6,8,2,1]=>1010011=>7
[4,1,7,3,6,5,2,8]=>0011110=>7
[2,8,7,4,5,3,1,6]=>0101011=>7
[2,8,7,4,3,5,1,6]=>0011011=>7
[3,8,1,4,2,6,5,7]=>0010101=>7
[4,1,7,3,6,2,5,8]=>0010110=>7
[5,8,7,6,1,2,4,3]=>0010111=>7
[5,8,7,6,2,1,3,4]=>1000111=>7
[4,1,7,2,6,8,5,3]=>0011011=>7
[4,2,7,3,6,1,8,5]=>0010111=>7
[4,2,7,3,6,5,8,1]=>0010111=>7
[3,8,2,4,5,6,7,1]=>0000011=>7
[3,8,2,4,1,6,7,5]=>0010011=>7
[3,8,5,6,2,4,1,7]=>0010101=>7
[2,8,6,5,3,7,1,4]=>0001111=>7
[3,8,6,5,1,4,7,2]=>0001111=>7
[3,8,2,1,4,6,7,5]=>1000011=>7
[3,8,2,5,4,6,7,1]=>0001011=>7
[4,2,7,5,6,3,8,1]=>0010111=>7
[4,2,7,5,6,1,8,3]=>0010111=>7
[4,2,6,7,5,3,1,8]=>0111010=>7
[3,2,6,1,4,5,8,7]=>0100101=>7
[2,8,7,3,4,5,1,6]=>0001011=>7
[3,8,1,2,4,6,5,7]=>0000101=>7
[5,8,7,6,1,3,4,2]=>0010111=>7
[5,8,7,6,2,3,4,1]=>0010111=>7
[4,1,7,5,6,2,3,8]=>0010110=>7
[3,8,1,5,2,6,4,7]=>0001101=>7
[2,8,7,5,3,4,1,6]=>0011011=>7
[2,8,7,5,4,3,1,6]=>0111011=>7
[4,1,7,5,6,3,2,8]=>0110110=>7
[5,8,7,6,1,3,2,4]=>0100111=>7
[5,8,7,6,4,1,2,3]=>0010111=>7
[5,4,2,3,7,6,8,1]=>0011011=>7
[7,4,3,5,2,8,1,6]=>0011011=>7
[8,4,3,7,5,1,6,2]=>0011111=>7
[8,4,7,2,5,1,6,3]=>0001111=>7
[7,4,6,2,3,5,8,1]=>0000111=>7
[5,1,7,2,4,6,8,3]=>0001011=>7
[4,5,7,1,2,6,8,3]=>0000011=>7
[5,4,1,7,3,6,8,2]=>0011011=>7
[3,6,4,7,5,2,8,1]=>0001111=>7
[3,4,7,6,2,5,8,1]=>0000111=>7
[4,7,5,6,1,3,8,2]=>0000111=>7
[5,7,6,4,3,1,8,2]=>0110111=>7
[5,7,6,3,1,4,8,2]=>0100111=>7
[7,5,2,3,4,8,1,6]=>0001011=>7
[8,7,5,3,4,1,6,2]=>0011111=>7
[6,7,1,3,8,4,2,5]=>0010011=>7
[7,6,1,3,4,8,5,2]=>0001111=>7
[3,6,5,2,7,8,1,4]=>0001101=>7
[3,2,8,6,7,1,4,5]=>0100011=>7
[4,8,3,6,5,2,1,7]=>1001101=>7
[1,8,6,5,4,2,3,7]=>0011101=>7
[1,8,7,2,3,5,4,6]=>0001011=>7
[1,8,7,2,5,3,4,6]=>0001011=>7
[3,6,8,5,1,2,4,7]=>0001001=>7
[3,7,5,1,8,2,6,4]=>0001111=>7
[7,1,2,8,3,5,6,4]=>0000111=>7
[6,1,7,8,2,5,3,4]=>0001101=>7
[6,7,5,2,8,1,4,3]=>0011011=>7
[7,1,4,5,8,6,2,3]=>0000111=>7
[5,7,6,4,2,8,1,3]=>0010111=>7
[7,5,6,1,2,8,4,3]=>0010111=>7
[4,1,3,7,8,6,2,5]=>0010101=>7
[5,1,4,3,6,8,7,2]=>0011011=>7
[4,5,7,6,8,2,1,3]=>1000011=>7
[5,7,6,8,4,2,1,3]=>1010011=>7
[5,1,6,8,4,2,7,3]=>0011011=>7
[7,4,8,2,3,6,5,1]=>0001111=>7
[5,6,8,4,7,3,2,1]=>1100011=>7
[6,4,7,8,5,2,1,3]=>1001101=>7
[3,6,4,8,5,1,2,7]=>0001101=>7
[3,7,4,8,1,2,5,6]=>0000011=>7
[7,4,3,8,2,6,5,1]=>0011111=>7
[7,6,8,3,2,5,4,1]=>0111011=>7
[8,7,1,3,5,4,6,2]=>0001111=>7
[7,1,8,3,4,2,6,5]=>0010111=>7
[7,6,8,3,1,4,5,2]=>0101011=>7
[3,1,4,8,2,5,7,6]=>0100011=>7
[4,8,5,2,1,3,6,7]=>1001001=>7
[5,8,2,6,3,1,4,7]=>0100101=>7
[6,8,2,3,7,4,1,5]=>0010011=>7
[7,8,2,3,4,6,5,1]=>0001101=>7
[8,1,7,2,4,5,3,6]=>0001011=>7
[8,1,3,6,2,5,4,7]=>0001101=>7
[7,2,1,6,3,5,4,8]=>1001110=>7
[2,7,1,6,3,5,4,8]=>0001110=>7
[2,7,1,5,4,3,6,8]=>0011010=>7
[7,2,1,5,4,3,6,8]=>1011010=>7
[8,1,3,5,4,2,6,7]=>0011001=>7
[8,1,5,3,4,2,6,7]=>0011001=>7
[8,1,5,6,2,3,7,4]=>0000111=>7
[8,1,4,5,3,2,6,7]=>0101001=>7
[8,1,4,3,5,2,6,7]=>0011001=>7
[7,2,1,4,5,3,6,8]=>1001010=>7
[2,7,1,4,5,3,6,8]=>0001010=>7
[2,6,3,1,5,4,7,8]=>0101100=>7
[6,3,2,1,5,4,7,8]=>1101100=>7
[7,3,1,4,5,2,6,8]=>0101010=>7
[7,3,1,5,4,2,6,8]=>0111010=>7
[7,3,1,6,2,5,4,8]=>0101110=>7
[3,7,1,6,2,5,4,8]=>0001110=>7
[3,7,1,4,5,2,6,8]=>0001010=>7
[3,6,2,1,5,4,7,8]=>1001100=>7
[2,3,6,1,5,4,7,8]=>0001100=>7
[3,5,2,4,1,6,7,8]=>0011000=>7
[6,3,4,1,5,2,7,8]=>0011100=>7
[6,2,4,1,5,3,7,8]=>0011100=>7
[2,6,4,1,5,3,7,8]=>0011100=>7
[2,6,5,1,3,7,4,8]=>0001110=>7
[6,2,5,1,3,7,4,8]=>0001110=>7
[6,5,2,1,3,7,4,8]=>1001110=>7
[7,6,1,2,4,5,3,8]=>0001110=>7
[6,7,1,2,8,3,5,4]=>0001011=>7
[6,7,1,2,5,4,3,8]=>0011010=>7
[5,6,2,1,3,7,4,8]=>1000110=>7
[5,2,6,1,3,7,4,8]=>0001110=>7
[2,4,6,1,5,3,7,8]=>0001100=>7
[4,7,1,3,5,2,6,8]=>0001010=>7
[4,7,1,5,3,2,6,8]=>0101010=>7
[5,7,1,4,2,6,3,8]=>0010110=>7
[5,7,1,6,2,3,8,4]=>0000111=>7
[5,6,3,1,2,7,4,8]=>0100110=>7
[4,2,5,3,1,6,7,8]=>0111000=>7
[5,3,6,1,2,7,4,8]=>0001110=>7
[3,4,6,1,5,2,7,8]=>0001100=>7
[6,5,1,8,7,3,4,2]=>0011111=>7
[8,2,7,5,4,1,3,6]=>0011011=>7
[6,8,5,2,3,4,1,7]=>0011001=>7
[2,6,8,7,1,5,3,4]=>0001011=>7
[8,5,6,2,7,1,4,3]=>0010111=>7
[6,5,1,2,7,8,4,3]=>0011101=>7
[4,7,6,1,5,3,8,2]=>0001111=>7
[5,7,6,4,1,3,8,2]=>0010111=>7
[7,6,2,4,5,3,8,1]=>0001111=>7
[6,1,7,5,3,8,4,2]=>0011111=>7
[8,6,7,5,3,1,4,2]=>0111011=>7
[8,5,2,7,1,6,4,3]=>0011111=>7
[7,6,1,5,3,8,4,2]=>0011111=>7
[5,6,2,4,7,8,1,3]=>0000101=>7
[3,4,6,1,7,8,5,2]=>0001101=>7
[3,4,8,6,7,1,5,2]=>0001011=>7
[4,8,5,6,7,2,3,1]=>0100011=>7
[5,8,6,4,1,2,7,3]=>0010111=>7
[5,8,6,1,7,2,4,3]=>0010111=>7
[5,8,7,3,2,6,4,1]=>0110111=>7
[5,8,1,7,2,6,4,3]=>0010111=>7
[8,1,5,7,2,6,4,3]=>0010111=>7
[8,1,7,2,5,6,3,4]=>0000111=>7
[6,8,7,2,5,1,3,4]=>0001011=>7
[5,8,7,2,1,6,3,4]=>1000111=>7
[4,8,1,5,2,6,7,3]=>0001011=>7
[3,7,8,5,1,6,2,4]=>0001101=>7
[6,5,2,7,8,1,4,3]=>0011101=>7
[7,1,2,8,5,6,3,4]=>0000111=>7
[8,7,2,1,5,6,3,4]=>1000111=>7
[8,6,7,1,5,2,3,4]=>0001011=>7
[6,1,7,8,5,2,3,4]=>0001101=>7
[7,5,6,2,1,8,4,3]=>1010111=>7
[8,7,5,2,1,6,4,3]=>1011111=>7
[7,1,3,5,8,6,2,4]=>0000111=>7
[5,1,3,4,6,8,7,2]=>0001011=>7
[4,5,3,6,8,2,7,1]=>0001011=>7
[5,6,3,4,8,1,7,2]=>0000111=>7
[4,6,7,8,5,1,3,2]=>0101001=>7
[8,4,3,1,2,6,7,5]=>0110011=>7
[8,5,1,6,3,4,7,2]=>0001111=>7
[5,1,8,6,3,4,7,2]=>0001111=>7
[4,6,8,1,5,3,7,2]=>0001011=>7
[6,4,5,8,3,2,7,1]=>0100111=>7
[3,6,4,8,7,1,5,2]=>0001111=>7
[6,5,8,1,3,4,7,2]=>0000111=>7
[5,6,8,3,1,2,7,4]=>0100011=>7
[6,1,8,3,5,2,7,4]=>0001111=>7
[7,6,8,3,5,2,1,4]=>1001011=>7
[8,6,1,3,5,2,7,4]=>0001111=>7
[8,7,1,3,5,6,2,4]=>0000111=>7
[6,7,8,3,5,1,2,4]=>0001001=>7
[3,4,8,1,2,6,7,5]=>0000011=>7
[5,8,2,4,3,6,7,1]=>0010011=>7
[5,8,2,3,1,6,7,4]=>0100011=>7
[6,8,2,3,5,1,7,4]=>0001011=>7
[7,8,2,3,5,6,1,4]=>0000101=>7
[8,6,5,1,4,3,7,2]=>0011111=>7
[2,4,8,6,1,3,7,5]=>0000111=>7
[6,7,1,8,4,3,5,2]=>0011011=>7
[2,7,8,6,1,4,3,5]=>0010101=>7
[2,7,3,8,1,6,4,5]=>0000111=>7
[7,5,1,8,2,4,6,3]=>0001111=>7
[2,7,8,4,1,6,3,5]=>0010101=>7
[2,6,5,4,1,3,8,7]=>0011101=>7
[4,1,7,6,3,8,2,5]=>0010111=>7
[4,8,2,5,7,6,3,1]=>0100111=>7
[3,4,6,5,1,8,2,7]=>0001101=>7
[2,6,5,3,4,1,8,7]=>0011101=>7
[4,6,1,5,2,3,8,7]=>0001101=>7
[6,2,3,5,1,4,8,7]=>0001101=>7
[2,6,7,5,1,8,4,3]=>0011011=>7
[8,6,1,2,5,3,4,7]=>0001101=>7
[6,2,5,1,8,3,4,7]=>0001101=>7
[7,6,5,2,8,3,4,1]=>0011111=>7
[2,6,3,5,1,8,7,4]=>0001111=>7
[2,4,7,6,5,8,1,3]=>0000111=>7
[2,1,4,8,7,6,3,5]=>1000111=>7
[7,4,6,8,5,3,2,1]=>1101011=>7
[8,1,3,5,7,4,6,2]=>0000111=>7
[3,2,8,7,5,1,6,4]=>0101111=>7
[4,8,5,1,6,7,2,3]=>0001011=>7
[3,8,5,1,6,7,2,4]=>0001011=>7
[7,8,6,1,3,5,2,4]=>0001101=>7
[5,6,7,2,8,1,3,4]=>0000011=>7
[2,5,1,8,6,7,4,3]=>0011011=>7
[3,5,1,8,6,7,4,2]=>0011011=>7
[5,2,3,8,6,7,4,1]=>0011011=>7
[8,3,5,4,6,7,1,2]=>0001011=>7
[5,1,3,8,6,7,4,2]=>0011011=>7
[3,2,5,8,6,7,4,1]=>0110011=>7
[6,2,1,5,3,8,7,4]=>1001111=>7
[5,6,3,2,8,1,4,7]=>0100101=>7
[8,1,6,3,5,2,7,4]=>0001111=>7
[8,7,6,2,5,3,1,4]=>0101111=>7
[4,7,6,8,3,2,5,1]=>0101011=>7
[2,7,5,8,1,3,4,6]=>0000011=>7
[7,6,2,8,5,1,4,3]=>0011111=>7
[8,1,3,7,5,2,6,4]=>0001111=>7
[3,4,8,7,5,1,6,2]=>0001111=>7
[6,3,8,1,4,2,5,7]=>0010101=>7
[6,3,8,5,7,4,1,2]=>0010111=>7
[7,4,6,8,5,1,3,2]=>0101011=>7
[2,1,4,8,7,5,6,3]=>1000111=>7
[7,1,5,8,2,6,4,3]=>0010111=>7
[3,6,8,2,4,1,7,5]=>0010011=>7
[4,5,8,2,6,7,3,1]=>0100011=>7
[5,2,8,1,6,7,3,4]=>0001011=>7
[2,5,8,4,6,7,3,1]=>0100011=>7
[5,8,3,4,6,7,2,1]=>1000011=>7
[8,4,3,2,6,7,1,5]=>0110011=>7
[4,2,8,1,6,7,3,5]=>0010011=>7
[2,4,8,1,6,7,3,5]=>0000011=>7
[5,1,8,2,6,7,3,4]=>0001011=>7
[3,4,8,7,2,1,5,6]=>1000011=>7
[7,8,5,3,6,4,2,1]=>1011101=>7
[2,8,5,7,4,1,3,6]=>0010011=>7
[5,8,4,1,6,7,2,3]=>0010011=>7
[3,8,1,4,6,7,2,5]=>0000011=>7
[8,2,3,4,6,7,1,5]=>0000011=>7
[6,2,7,3,8,4,1,5]=>0010111=>7
[7,4,3,2,8,5,1,6]=>0111011=>7
[5,3,2,8,4,6,1,7]=>0101101=>7
[8,4,2,6,5,3,1,7]=>0111101=>7
[7,4,2,5,3,1,6,8]=>0111010=>7
[8,3,6,2,5,4,1,7]=>0011101=>7
[5,4,8,3,2,6,1,7]=>0101101=>7
[3,5,8,2,4,6,1,7]=>0000101=>7
[6,4,7,8,2,3,1,5]=>0100101=>7
[5,8,3,6,4,2,1,7]=>1010101=>7
[4,8,6,2,5,3,1,7]=>0101101=>7
[1,6,4,3,2,8,7,5]=>0110111=>7
[1,5,3,2,8,4,7,6]=>0101011=>7
[5,7,4,3,1,2,6,8]=>0110010=>7
[2,8,7,3,5,1,4,6]=>0001011=>7
[7,3,8,6,4,1,2,5]=>0010111=>7
[6,1,2,7,3,8,5,4]=>0001111=>7
[2,1,7,4,3,8,6,5]=>1010111=>7
[6,1,4,3,8,2,7,5]=>0010111=>7
[5,1,3,2,8,7,4,6]=>0101011=>7
[1,8,4,2,7,6,5,3]=>0011111=>7
[1,8,3,7,2,6,5,4]=>0001111=>7
[5,1,4,8,3,7,2,6]=>0001011=>7
[2,1,6,8,5,4,7,3]=>1001011=>7
[6,1,5,7,8,2,4,3]=>0010101=>7
[8,3,1,6,7,2,5,4]=>0101011=>7
[7,4,8,6,1,3,2,5]=>0100111=>7
[4,7,6,1,2,5,3,8]=>0001110=>7
[3,7,6,1,5,2,4,8]=>0001110=>7
[1,5,4,8,3,2,7,6]=>0101011=>7
[7,3,6,1,2,5,4,8]=>0001110=>7
[5,4,7,1,3,2,6,8]=>0101010=>7
[5,7,4,8,2,1,3,6]=>1000011=>7
[4,6,8,2,5,1,3,7]=>0001001=>7
[7,4,6,2,1,5,3,8]=>1001110=>7
[1,2,6,3,8,5,7,4]=>0000111=>7
[1,5,2,6,8,4,7,3]=>0001011=>7
[5,7,2,3,8,1,4,6]=>0000011=>7
[6,4,7,5,8,1,2,3]=>0000111=>7
[7,4,8,5,1,6,3,2]=>0101111=>7
[5,8,3,6,1,7,4,2]=>0010111=>7
[8,6,4,2,1,7,5,3]=>1011111=>7
[7,4,2,1,5,8,6,3]=>1010111=>7
[7,6,4,1,8,5,2,3]=>0011111=>7
[1,6,4,8,7,5,3,2]=>0101111=>7
[6,3,1,2,8,4,7,5]=>0100111=>7
[7,5,1,3,2,8,6,4]=>0101111=>7
[4,7,1,2,5,8,6,3]=>0000111=>7
[6,8,4,1,2,7,5,3]=>0011011=>7
[7,5,8,1,2,6,4,3]=>0010111=>7
[7,4,8,1,6,3,5,2]=>0001111=>7
[5,8,2,1,7,3,6,4]=>1000111=>7
[3,6,1,8,2,4,7,5]=>0000111=>7
[1,3,8,7,6,2,5,4]=>0001111=>7
[5,4,1,8,7,3,2,6]=>0111011=>7
[3,5,1,8,7,2,4,6]=>0001011=>7
[4,6,1,8,3,7,2,5]=>0000111=>7
[4,7,1,2,8,6,3,5]=>0000111=>7
[5,8,4,1,7,6,2,3]=>0010111=>7
[7,6,8,1,5,4,2,3]=>0011011=>7
[8,6,1,7,5,4,3,2]=>0111111=>7
[7,1,5,8,6,4,3,2]=>0110111=>7
[5,1,8,7,3,6,4,2]=>0011111=>7
[4,1,8,7,6,2,5,3]=>0011111=>7
[3,1,8,7,6,5,2,4]=>0101111=>7
[1,6,4,5,2,3,7,8]=>0001100=>7
[1,7,4,5,2,3,6,8]=>0001010=>7
[1,7,3,5,2,4,6,8]=>0001010=>7
[1,6,3,5,2,4,7,8]=>0001100=>7
[1,6,3,4,2,5,7,8]=>0010100=>7
[1,7,3,4,2,5,6,8]=>0010010=>7
[1,8,6,7,3,4,2,5]=>0010011=>7
[1,8,5,7,3,4,2,6]=>0010011=>7
[1,7,3,4,2,6,5,8]=>0010110=>7
[1,5,2,8,4,7,3,6]=>0001011=>7
[1,4,2,8,5,7,3,6]=>0010011=>7
[1,7,3,5,2,6,4,8]=>0001110=>7
[1,8,4,7,3,5,2,6]=>0001011=>7
[1,7,3,6,2,5,4,8]=>0001110=>7
[1,7,3,6,2,4,5,8]=>0000110=>7
[1,7,4,6,2,3,5,8]=>0000110=>7
[1,8,5,6,2,3,4,7]=>0000101=>7
[1,8,5,6,2,4,3,7]=>0010101=>7
[1,3,2,8,5,6,4,7]=>0100101=>7
[1,4,2,8,5,6,3,7]=>0010101=>7
[1,5,2,8,4,6,3,7]=>0001101=>7
[1,6,2,8,4,5,3,7]=>0001101=>7
[9,1,2,3,5,4,6,7,8]=>00010001=>4
[8,1,2,4,5,3,6,7]=>0001001=>7
[2,3,4,6,5,7,8,9,1]=>00001001=>8
[10,1,2,3,4,6,5,7,8,9]=>000010001=>9
[9,1,2,3,5,6,4,7,8]=>00001001=>8
[2,3,4,7,5,6,8,9,1]=>00000101=>8
[2,3,4,6,7,5,8,9,1]=>00000101=>8
[2,3,4,5,7,6,8,9,10,1]=>000001001=>9
[9,10,5,6,7,8,3,4,1,2]=>001000101=>9
[5,8,9,6,7,10,3,4,1,2]=>001000011=>9
[9,10,7,8,3,4,5,6,1,2]=>000010101=>9
[9,10,3,6,7,4,5,8,1,2]=>000001101=>9
[3,8,9,6,7,4,5,10,1,2]=>000001011=>9
[3,6,7,8,9,4,5,10,1,2]=>000000011=>9
[9,10,3,4,5,6,7,8,1,2]=>000000101=>9
[3,8,9,4,5,6,7,10,1,2]=>000000011=>9
[3,4,7,8,5,6,9,10,1,2]=>000000101=>9
[7,8,9,10,5,6,1,2,3,4]=>000010001=>9
[5,8,9,6,7,10,1,2,3,4]=>000000011=>9
[9,10,7,8,1,4,5,2,3,6]=>000100101=>9
[7,8,9,10,1,4,5,2,3,6]=>000100001=>9
[9,10,1,6,7,4,5,2,3,8]=>000101001=>9
[1,8,9,6,7,4,5,2,3,10]=>000101010=>9
[1,6,7,8,9,4,5,2,3,10]=>000100010=>9
[9,10,1,4,5,6,7,2,3,8]=>000001001=>9
[1,8,9,4,5,6,7,2,3,10]=>000001010=>9
[1,4,7,8,5,6,9,2,3,10]=>000000110=>9
[1,4,5,6,7,8,9,2,3,10]=>000000010=>9
[9,10,1,6,7,2,3,4,5,8]=>000001001=>9
[1,8,9,6,7,2,3,4,5,10]=>000001010=>9
[1,6,7,8,9,2,3,4,5,10]=>000000010=>9
[9,10,1,2,5,6,3,4,7,8]=>000010001=>9
[1,8,9,2,5,6,3,4,7,10]=>000010010=>9
[1,2,7,8,5,6,3,4,9,10]=>000010100=>9
[1,2,5,6,7,8,3,4,9,10]=>000000100=>9
[1,8,9,2,3,4,5,6,7,10]=>000000010=>9
[1,2,7,8,3,4,5,6,9,10]=>000000100=>9
[1,2,3,6,7,4,5,8,9,10]=>000001000=>9
[8,6,4,7,2,1,3,5]=>1000111=>7
[1,6,4,7,2,8,3,5]=>0000111=>7
[1,4,7,3,5,8,2,6]=>0000011=>7
[8,4,6,2,3,5,1,7]=>0001101=>7
[5,4,8,2,3,6,1,7]=>0001101=>7
[7,4,8,5,2,3,1,6]=>0101011=>7
[3,8,6,2,4,5,1,7]=>0001101=>7
[4,8,6,2,3,5,1,7]=>0001101=>7
[1,7,5,3,4,8,2,6]=>0001011=>7
[1,7,6,4,8,2,3,5]=>0000111=>7
[5,8,7,4,1,2,3,6]=>0010011=>7
[6,8,5,3,4,1,2,7]=>0011001=>7
[6,8,3,7,2,1,4,5]=>1000011=>7
[8,5,1,6,3,7,2,4]=>0001111=>7
[6,1,3,7,4,8,2,5]=>0000111=>7
[4,1,7,3,5,8,2,6]=>0010011=>7
[7,1,6,4,8,2,3,5]=>0000111=>7
[1,8,5,7,2,3,4,6]=>0000011=>7
[6,1,5,8,2,3,4,7]=>0000101=>7
[5,1,7,3,8,2,4,6]=>0001011=>7
[6,1,5,7,8,2,3,4]=>0000101=>7
[7,4,8,6,1,2,3,5]=>0000111=>7
[3,8,7,5,1,2,4,6]=>0001011=>7
[3,7,6,1,2,4,5,8]=>0000110=>7
[4,7,6,1,2,3,5,8]=>0000110=>7
[1,6,5,8,2,3,4,7]=>0000101=>7
[6,5,8,4,1,2,3,7]=>0010101=>7
[8,5,7,4,1,2,3,6]=>0010011=>7
[1,5,7,4,8,2,3,6]=>0000011=>7
[7,6,4,8,2,1,3,5]=>1000111=>7
[7,6,2,3,8,1,4,5]=>0000111=>7
[7,4,8,5,1,6,2,3]=>0001111=>7
[8,6,2,3,1,7,4,5]=>0100111=>7
[8,6,4,1,2,7,3,5]=>0010111=>7
[1,7,2,8,6,3,4,5]=>0000111=>7
[7,6,1,3,8,2,4,5]=>0000111=>7
[7,5,8,1,3,6,2,4]=>0000111=>7
[5,4,1,8,2,3,6,7]=>0011001=>7
[1,4,8,7,2,3,5,6]=>0000011=>7
[1,5,8,7,2,3,4,6]=>0000011=>7
[6,5,1,8,2,3,4,7]=>0001101=>7
[5,7,1,3,8,2,4,6]=>0000011=>7
[7,6,8,1,5,2,3,4]=>0001011=>7
[7,1,5,8,6,2,3,4]=>0000111=>7
[6,1,8,2,7,3,4,5]=>0000111=>7
[4,1,8,7,2,3,5,6]=>0010011=>7
[5,1,8,7,2,3,4,6]=>0001011=>7
[1,8,7,6,4,5,3,2]=>0101111=>7
[9,8,7,6,4,5,3,2,1,10]=>110111110=>9
[8,7,6,4,3,5,2,1,9]=>10111110=>8
[8,7,6,3,5,4,2,1,9]=>10111110=>8
[1,9,8,7,5,4,6,3,2]=>01011111=>8
[1,8,7,3,6,5,4,2]=>0011111=>7
[1,9,8,7,4,6,5,3,2]=>01011111=>8
[1,10,9,8,7,5,6,4,3,2]=>011011111=>9
[7,1,5,8,3,4,2,6]=>0010011=>7
[7,1,4,3,2,5,6,8]=>0110010=>7
[6,4,2,3,8,5,7,1]=>0010111=>7
[6,4,2,7,5,8,3,1]=>0110111=>7
[2,4,1,7,5,8,3,6]=>0010011=>7
[7,1,4,6,5,2,3,8]=>0001110=>7
[7,1,4,6,5,8,2,3]=>0000111=>7
[7,1,4,6,3,8,2,5]=>0000111=>7
[7,1,4,3,2,5,8,6]=>0110011=>7
[7,1,4,6,5,2,8,3]=>0001111=>7
[7,1,4,6,5,3,8,2]=>0001111=>7
[7,1,4,6,5,3,2,8]=>0101110=>7
[6,4,2,7,5,3,8,1]=>0011111=>7
[3,4,7,2,6,8,5,1]=>0001011=>7
[3,4,7,1,6,8,2,5]=>0000011=>7
[3,4,7,1,6,8,5,2]=>0001011=>7
[2,4,1,7,5,3,6,8]=>0011010=>7
[3,4,1,7,8,6,2,5]=>0010101=>7
[6,4,2,3,8,5,1,7]=>0011101=>7
[6,4,2,7,5,8,1,3]=>0010111=>7
[6,4,2,7,5,3,1,8]=>0111110=>7
[3,4,7,2,6,8,1,5]=>0000011=>7
[5,4,7,3,6,8,2,1]=>1001011=>7
[3,4,7,2,6,5,1,8]=>0001110=>7
[4,8,3,2,5,6,1,7]=>0100101=>7
[4,8,7,3,5,1,2,6]=>0001011=>7
[4,8,7,1,3,5,2,6]=>0001011=>7
[4,8,3,1,2,6,5,7]=>0100101=>7
[3,4,7,1,6,2,5,8]=>0000110=>7
[3,4,7,1,6,2,8,5]=>0000111=>7
[3,4,7,2,6,5,8,1]=>0000111=>7
[4,8,3,1,2,6,7,5]=>0100011=>7
[5,8,1,6,3,4,2,7]=>0010101=>7
[6,8,5,1,3,7,2,4]=>0001011=>7
[6,8,5,1,3,4,7,2]=>0001011=>7
[5,8,3,4,2,6,7,1]=>0010011=>7
[5,4,7,3,6,2,8,1]=>0001111=>7
[5,4,7,2,6,1,8,3]=>0001111=>7
[6,4,3,7,5,1,2,8]=>0011110=>7
[6,4,3,7,5,1,8,2]=>0011111=>7
[6,2,4,3,1,5,8,7]=>0110101=>7
[3,8,7,4,1,5,2,6]=>0011011=>7
[2,4,7,3,6,1,5,8]=>0000110=>7
[5,8,3,2,1,6,4,7]=>1100101=>7
[5,8,7,4,3,1,2,6]=>0110011=>7
[5,4,7,3,6,2,1,8]=>1001110=>7
[7,3,8,2,1,6,5,4]=>1001111=>7
[7,4,3,8,5,2,1,6]=>1011011=>7
[6,5,2,8,4,3,1,7]=>0111101=>7
[4,3,2,8,6,5,1,7]=>0111101=>7
[4,3,8,7,5,1,6,2]=>0011111=>7
[3,2,5,8,6,1,4,7]=>0100101=>7
[8,4,3,7,5,2,6,1]=>0011111=>7
[4,3,7,8,5,1,2,6]=>0011001=>7
[5,3,7,8,4,1,2,6]=>0011001=>7
[6,2,5,8,3,1,4,7]=>0100101=>7
[6,2,4,8,3,1,5,7]=>0100101=>7
[5,2,3,8,4,1,6,7]=>0011001=>7
[5,3,8,7,4,1,6,2]=>0011111=>7
[5,3,2,8,6,4,1,7]=>0111101=>7
[7,5,3,8,4,2,1,6]=>1011011=>7
[8,7,5,3,6,2,4,1]=>0011111=>7
[8,6,5,3,7,2,4,1]=>0011111=>7
[7,5,4,3,8,2,6,1]=>0011111=>7
[6,4,5,3,8,2,7,1]=>0001111=>7
[7,4,6,3,8,2,5,1]=>0001111=>7
[7,5,6,3,8,2,4,1]=>0010111=>7
[8,5,6,3,7,2,4,1]=>0010111=>7
[7,4,6,3,5,2,8,1]=>0001111=>7
[8,4,6,3,5,2,7,1]=>0001111=>7
[8,4,7,3,5,2,6,1]=>0001111=>7
[8,5,7,3,4,2,6,1]=>0010111=>7
[7,5,8,4,3,2,6,1]=>0110111=>7
[6,5,8,4,3,2,7,1]=>0110111=>7
[6,5,8,3,4,2,7,1]=>0010111=>7
[7,5,8,3,4,2,6,1]=>0010111=>7
[7,5,8,4,6,2,3,1]=>0100111=>7
[7,4,8,3,6,2,5,1]=>0001111=>7
[7,4,8,3,5,2,6,1]=>0001111=>7
[6,4,8,3,5,2,7,1]=>0001111=>7
[6,4,7,3,5,2,8,1]=>0001111=>7
[5,4,8,3,7,2,6,1]=>0001111=>7
[6,5,8,3,7,2,4,1]=>0010111=>7
[6,5,8,4,7,2,3,1]=>0100111=>7
[6,5,8,4,7,3,2,1]=>1100111=>7
[6,4,7,3,8,2,5,1]=>0001111=>7
[5,4,7,3,8,2,6,1]=>0001111=>7
[5,4,6,3,8,2,7,1]=>0001111=>7
[5,3,6,2,4,7,8,1]=>0001101=>7
[5,3,6,1,4,8,7,2]=>0001111=>7
[5,3,7,2,4,6,8,1]=>0001011=>7
[4,3,1,5,6,8,7,2]=>0110011=>7
[4,2,1,5,8,6,3,7]=>1010101=>7
[4,2,1,5,8,6,7,3]=>1010011=>7
[4,2,1,5,8,7,6,3]=>1010111=>7
[4,3,1,5,7,8,6,2]=>0110101=>7
[4,3,1,7,5,8,6,2]=>0110111=>7
[6,7,3,1,4,8,2,5]=>0100011=>7
[5,3,7,1,4,8,2,6]=>0001011=>7
[4,3,1,5,7,8,2,6]=>0110001=>7
[3,2,1,8,5,4,6,7]=>1101001=>7
[3,2,1,8,5,7,4,6]=>1100011=>7
[3,2,1,8,7,5,4,6]=>1101011=>7
[5,2,7,1,8,4,3,6]=>0011011=>7
[6,7,2,1,8,4,3,5]=>1010011=>7
[6,7,2,1,8,4,5,3]=>1001011=>7
[3,2,1,8,5,6,4,7]=>1100101=>7
[3,2,1,8,6,5,4,7]=>1101101=>7
[4,3,1,6,7,8,5,2]=>0111001=>7
[4,2,1,6,8,7,5,3]=>1011011=>7
[4,2,1,6,8,5,7,3]=>1010011=>7
[4,2,1,6,8,5,3,7]=>1011001=>7
[5,2,6,1,8,4,3,7]=>0011101=>7
[5,2,6,1,8,7,4,3]=>0011111=>7
[5,2,6,1,8,7,3,4]=>0001111=>7
[5,2,6,1,8,3,4,7]=>0001101=>7
[4,2,1,6,8,3,7,5]=>1010011=>7
[4,3,1,6,7,8,2,5]=>0110001=>7
[6,7,3,1,5,8,2,4]=>0100011=>7
[4,2,1,7,8,6,3,5]=>1010101=>7
[3,2,1,8,7,6,4,5]=>1100111=>7
[3,2,1,8,6,4,7,5]=>1100111=>7
[3,2,1,8,6,4,5,7]=>1100101=>7
[3,2,1,8,4,6,5,7]=>1100101=>7
[3,2,1,8,4,6,7,5]=>1100011=>7
[3,2,1,8,4,7,6,5]=>1100111=>7
[3,2,1,8,7,4,6,5]=>1100111=>7
[4,2,1,7,8,3,6,5]=>1010101=>7
[5,2,7,1,8,3,6,4]=>0001111=>7
[6,7,2,1,8,3,5,4]=>1001011=>7
[5,2,7,1,8,3,4,6]=>0001011=>7
[4,2,1,7,8,3,5,6]=>1010001=>7
[3,2,1,8,4,5,7,6]=>1100011=>7
[7,5,2,8,6,3,4,1]=>0011111=>7
[7,4,8,6,2,5,3,1]=>0101111=>7
[7,3,8,6,2,4,5,1]=>0001111=>7
[7,4,3,1,8,2,5,6]=>0110011=>7
[7,4,2,8,5,6,1,3]=>0010111=>7
[7,3,8,5,2,4,6,1]=>0001111=>7
[7,3,8,4,5,6,2,1]=>1000111=>7
[6,3,8,2,4,5,1,7]=>0001101=>7
[6,3,8,2,5,7,4,1]=>0010111=>7
[6,4,3,8,1,5,2,7]=>0011101=>7
[6,3,7,8,2,4,1,5]=>0010101=>7
[5,6,7,3,8,2,4,1]=>0010011=>7
[5,4,7,2,6,8,1,3]=>0001011=>7
[5,3,8,2,4,6,7,1]=>0001011=>7
[6,3,8,2,4,7,5,1]=>0001111=>7
[5,7,4,2,6,8,1,3]=>0010011=>7
[6,4,8,2,7,5,1,3]=>0001111=>7
[6,5,3,1,4,2,7,8]=>0111100=>7
[5,7,4,2,6,1,3,8]=>0010110=>7
[5,6,4,2,3,8,1,7]=>0010101=>7
[5,6,3,7,8,2,4,1]=>0010101=>7
[5,6,3,8,2,4,7,1]=>0000111=>7
[6,3,7,2,4,5,1,8]=>0001110=>7
[6,3,7,2,5,8,4,1]=>0010111=>7
[5,3,6,8,2,4,7,1]=>0001011=>7
[5,4,6,2,3,8,1,7]=>0001101=>7
[5,3,6,7,8,2,4,1]=>0011001=>7
[3,6,4,2,1,5,8,7]=>1010101=>7
[3,5,8,6,4,2,1,7]=>1010101=>7
[5,8,6,3,4,2,1,7]=>1010101=>7
[5,6,3,4,2,1,8,7]=>1010101=>7
[6,3,4,2,1,5,8,7]=>1010101=>7
[5,6,4,2,1,3,8,7]=>1010101=>7
[2,5,4,1,7,8,6,3]=>0011101=>7
[2,7,8,5,4,1,6,3]=>0011101=>7
[2,8,5,4,1,6,3,7]=>0011101=>7
[2,6,3,8,5,4,1,7]=>0011101=>7
[2,8,6,3,5,4,1,7]=>0011101=>7
[5,8,6,4,2,1,3,7]=>1010101=>7
[4,2,1,5,7,8,6,3]=>1010101=>7
[2,7,8,6,3,5,4,1]=>0011101=>7
[4,3,8,5,7,6,2,1]=>1010111=>7
[7,6,2,1,8,4,3,5]=>1010111=>7
[2,1,8,5,6,4,3,7]=>1010101=>7
[4,2,1,8,5,6,3,7]=>1010101=>7
[8,4,2,1,5,6,3,7]=>1010101=>7
[2,5,6,3,8,4,1,7]=>0010101=>7
[6,3,4,2,1,8,5,7]=>1010101=>7
[3,7,8,5,6,4,2,1]=>1010101=>7
[3,8,5,6,4,2,1,7]=>1010101=>7
[3,6,4,2,1,8,5,7]=>1010101=>7
[3,8,6,4,2,1,5,7]=>1010101=>7
[3,7,8,6,4,2,1,5]=>1010101=>7
[8,5,3,7,6,2,4,1]=>0011111=>7
[7,6,2,4,1,8,5,3]=>0011111=>7
[8,5,4,1,7,6,2,3]=>0011111=>7
[7,6,2,3,8,5,4,1]=>0011111=>7
[2,1,7,8,6,4,3,5]=>1010101=>7
[2,1,6,4,3,7,8,5]=>1010101=>7
[6,4,2,1,3,7,8,5]=>1010101=>7
[6,3,7,8,4,2,1,5]=>1010101=>7
[7,8,4,2,1,6,3,5]=>1010101=>7
[5,7,6,2,3,8,4,1]=>0010111=>7
[2,6,1,8,4,3,7,5]=>0010111=>7
[2,6,1,7,5,8,4,3]=>0010111=>7
[8,4,2,3,7,5,6,1]=>0010111=>7
[8,5,7,6,2,1,4,3]=>1010111=>7
[4,8,5,7,6,2,1,3]=>1000111=>7
[4,7,6,2,1,3,8,5]=>1000111=>7
[7,5,6,1,8,4,2,3]=>0010111=>7
[2,7,5,8,4,3,6,1]=>0010111=>7
[2,8,4,3,6,1,7,5]=>0010111=>7
[6,4,7,8,3,2,1,5]=>1100101=>7
[7,6,5,8,4,3,2,1,9]=>11101110=>4
[7,6,5,4,9,3,2,1,8]=>11011101=>4
[7,6,5,4,3,8,2,1,9]=>10111110=>8
[7,6,5,4,3,2,8,1,9]=>01111110=>8
[6,9,8,5,4,3,2,1,7]=>11110011=>8
[8,7,9,6,5,4,3,2,1,10]=>111110110=>9
[7,5,8,9,4,3,2,1,6]=>11100101=>8
[8,7,6,9,5,4,3,2,1,10]=>111101110=>9
[6,4,3,7,5,2,1,8]=>1011110=>7
[7,6,4,8,9,3,2,1,5]=>11001101=>8
[8,7,6,5,10,4,3,2,1,9]=>111011101=>9
[6,5,3,2,8,4,1,7]=>0111101=>7
[7,6,5,3,9,8,2,1,4]=>10011111=>8
[8,7,6,5,4,9,3,2,1,10]=>110111110=>9
[6,5,2,7,8,4,1,3]=>0011101=>7
[7,6,5,4,2,8,9,1,3]=>00111101=>8
[8,7,6,5,4,3,9,2,1,10]=>101111110=>9
[7,6,5,4,3,1,8,9,2]=>01111101=>8
[7,10,9,6,5,4,3,2,1,8]=>111110011=>9
[6,5,8,7,4,3,2,1,9]=>11101110=>4
[8,6,9,10,5,4,3,2,1,7]=>111100101=>9
[7,5,4,8,6,3,2,1,9]=>11011110=>8
[5,9,8,7,4,3,2,1,6]=>11100111=>8
[8,7,5,9,10,4,3,2,1,6]=>111001101=>9
[6,4,3,2,5,8,1,7]=>0110101=>7
[7,6,4,3,9,5,2,1,8]=>10111101=>8
[7,4,8,9,6,3,2,1,5]=>11001101=>8
[8,7,6,4,10,9,3,2,1,5]=>110011111=>9
[6,3,7,2,5,4,1,8]=>0011110=>7
[7,6,5,3,2,8,4,1,9]=>01111110=>8
[7,6,3,8,9,5,2,1,4]=>10011101=>8
[8,7,6,5,3,9,10,2,1,4]=>100111101=>9
[7,6,5,4,2,1,8,3,9]=>10111110=>8
[6,3,2,7,5,4,1,8]=>0111110=>7
[7,6,5,2,9,8,4,1,3]=>00111111=>8
[8,7,6,5,4,2,9,10,1,3]=>001111101=>9
[7,6,5,4,1,8,9,3,2]=>01111101=>8
[8,7,6,5,4,3,1,10,9,2]=>011111111=>9
[8,4,2,6,3,1,7,5]=>0110111=>7
[1,5,3,7,4,2,8,6]=>0011011=>7
[1,6,7,3,4,2,8,5]=>0010011=>7
[8,6,5,2,3,1,7,4]=>0101111=>7
[1,7,6,3,4,2,8,5]=>0010111=>7
[1,8,6,3,2,5,7,4]=>0100111=>7
[8,7,5,2,1,4,6,3]=>1001111=>7
[7,8,5,2,1,4,6,3]=>1001101=>7
[6,8,5,2,3,1,7,4]=>0101011=>7
[5,8,6,2,3,1,7,4]=>0100111=>7
[4,8,2,6,3,1,7,5]=>0100111=>7
[3,2,8,6,4,1,7,5]=>0110111=>7
[3,2,1,7,5,4,8,6]=>1101011=>7
[4,1,3,7,5,2,8,6]=>0011011=>7
[5,1,7,3,4,2,8,6]=>0011011=>7
[7,1,6,3,2,5,8,4]=>0100111=>7
[1,2,7,4,3,6,8,5]=>0010011=>7
[6,1,8,2,4,5,7,3]=>0000111=>7
[5,1,8,3,2,6,7,4]=>0101011=>7
[3,2,8,7,1,5,6,4]=>0100111=>7
[4,8,2,7,1,5,6,3]=>0000111=>7
[5,8,7,2,1,4,6,3]=>1000111=>7
[6,8,7,1,3,4,5,2]=>0001011=>7
[7,8,6,1,3,4,5,2]=>0001101=>7
[1,7,8,2,4,5,6,3]=>0000101=>7
[8,6,7,1,3,4,5,2]=>0001011=>7
[7,6,8,1,3,4,5,2]=>0001011=>7
[6,5,8,2,3,1,7,4]=>0100111=>7
[1,6,8,3,2,5,7,4]=>0100011=>7
[1,5,3,8,2,6,7,4]=>0001011=>7
[8,4,2,7,1,5,6,3]=>0010111=>7
[7,4,2,8,1,5,6,3]=>0010111=>7
[6,4,2,8,3,1,7,5]=>0110111=>7
[5,4,2,3,8,1,7,6]=>0011011=>7
[4,5,2,3,1,6,8,7]=>0101001=>7
[7,4,2,1,3,6,8,5]=>1010011=>7
[8,4,2,1,3,6,7,5]=>1010011=>7
[1,5,3,2,4,7,8,6]=>0101001=>7
[8,5,1,3,2,6,7,4]=>0101011=>7
[5,6,1,3,4,2,8,7]=>0010101=>7
[4,6,2,1,5,3,8,7]=>1001101=>7
[4,7,2,1,3,6,8,5]=>1000011=>7
[5,7,1,3,2,6,8,4]=>0100011=>7
[6,7,1,2,4,5,8,3]=>0000011=>7
[8,6,1,2,4,5,7,3]=>0000111=>7
[1,8,2,3,5,6,7,4]=>0000011=>7
[8,7,1,2,4,5,6,3]=>0000111=>7
[7,8,1,2,4,5,6,3]=>0000101=>7
[5,8,1,3,2,6,7,4]=>0100011=>7
[4,8,2,1,3,6,7,5]=>1000011=>7
[4,1,3,2,5,7,8,6]=>0110001=>7
[5,1,2,4,3,7,8,6]=>0011001=>7
[5,4,8,1,2,3,7,6]=>0001011=>7
[1,4,7,6,3,2,5,8]=>0100110=>7
[4,8,3,2,7,6,1,5]=>0100111=>7
[4,3,8,2,7,1,6,5]=>0010111=>7
[1,4,7,3,6,2,5,8]=>0000110=>7
[4,3,2,8,1,7,6,5]=>0110111=>7
[4,1,8,3,7,2,5,6]=>0010011=>7
[4,1,8,7,3,2,5,6]=>0110011=>7
[4,7,8,1,2,5,3,6]=>0001001=>7
[3,4,7,6,2,1,8,5]=>1000111=>7
[3,4,2,7,1,6,8,5]=>0010011=>7
[2,3,6,7,4,1,8,5]=>0010011=>7
[2,6,3,4,7,8,1,5]=>0000101=>7
[2,6,7,8,3,4,1,5]=>0010001=>7
[3,1,7,8,4,2,5,6]=>0110001=>7
[4,1,3,2,8,7,5,6]=>0110011=>7
[3,7,8,2,6,4,1,5]=>0010101=>7
[4,2,3,8,1,6,7,5]=>0010011=>7
[4,3,1,8,2,5,7,6]=>0110011=>7
[1,3,6,7,4,2,5,8]=>0010010=>7
[3,2,7,8,4,1,6,5]=>0110101=>7
[4,2,8,6,3,1,7,5]=>0110111=>7
[3,7,2,4,8,6,1,5]=>0000111=>7
[3,2,7,4,8,1,6,5]=>0100111=>7
[1,3,6,4,7,2,5,8]=>0000110=>7
[3,2,4,7,1,8,6,5]=>0100111=>7
[3,7,4,2,6,8,1,5]=>0010011=>7
[3,7,4,6,2,8,1,5]=>0000111=>7
[4,7,1,5,8,2,3,6]=>0000011=>7
[3,7,6,4,8,2,1,5]=>1000111=>7
[3,1,7,4,8,2,5,6]=>0100011=>7
[2,6,7,3,8,4,1,5]=>0010011=>7
[2,3,6,4,7,1,8,5]=>0000111=>7
[8,7,5,2,6,3,4,1]=>0011111=>7
[8,6,5,2,7,3,4,1]=>0011111=>7
[7,4,8,5,6,3,2,1]=>1100111=>7
[3,4,6,7,8,5,1,2]=>0001001=>7
[1,2,6,4,7,5,8,3]=>0000111=>7
[3,1,7,5,4,2,6,8]=>0111010=>7
[6,3,8,5,4,7,1,2]=>0001111=>7
[1,6,2,5,4,7,8,3]=>0001101=>7
[1,8,2,5,6,3,7,4]=>0000111=>7
[1,2,6,4,8,5,7,3]=>0000111=>7
[7,8,3,1,4,2,5,6]=>0110001=>7
[4,8,1,5,2,3,6,7]=>0001001=>7
[7,4,1,5,2,3,6,8]=>0011010=>7
[5,6,1,8,4,3,2,7]=>0110101=>7
[5,1,8,6,4,3,2,7]=>0111101=>7
[5,1,6,3,8,7,2,4]=>0001111=>7
[6,1,2,5,8,3,7,4]=>0000111=>7
[6,1,8,7,4,3,2,5]=>0110111=>7
[7,1,2,5,4,8,6,3]=>0001111=>7
[1,2,7,5,8,3,6,4]=>0000111=>7
[4,1,6,3,7,5,2,8]=>0011110=>7
[1,3,6,7,8,5,2,4]=>0001001=>7
[1,2,6,4,7,8,5,3]=>0001101=>7
[4,1,6,3,7,8,2,5]=>0010101=>7
[3,1,6,4,8,2,7,5]=>0100111=>7
[7,8,4,1,6,3,2,5]=>0110101=>7
[4,1,6,3,8,7,2,5]=>0010111=>7
[7,5,1,8,4,3,2,6]=>0111011=>7
[6,5,1,7,4,3,2,8]=>0111110=>7
[4,1,8,5,2,3,7,6]=>0011011=>7
[4,1,6,8,3,7,2,5]=>0010011=>7
[5,4,6,1,3,8,2,7]=>0001101=>7
[6,5,8,1,4,3,2,7]=>0110101=>7
[1,3,5,7,6,8,2,4]=>0000011=>7
[1,3,5,7,6,2,8,4]=>0000111=>7
[1,3,5,7,2,6,8,4]=>0000011=>7
[1,3,5,2,7,6,4,8]=>0001110=>7
[1,3,5,7,6,2,4,8]=>0000110=>7
[1,3,5,7,4,6,8,2]=>0000011=>7
[1,3,5,7,4,6,2,8]=>0000110=>7
[1,3,5,7,4,2,6,8]=>0010010=>7
[1,3,5,4,7,2,6,8]=>0001010=>7
[1,3,5,4,7,8,2,6]=>0001001=>7
[1,3,5,4,7,2,8,6]=>0001011=>7
[1,3,5,7,4,2,8,6]=>0010011=>7
[1,3,5,7,4,8,2,6]=>0000011=>7
[1,3,5,7,4,8,6,2]=>0000111=>7
[1,3,5,7,8,4,6,2]=>0000101=>7
[1,3,5,7,8,4,2,6]=>0010001=>7
[1,3,5,2,7,8,6,4]=>0001101=>7
[1,3,5,7,2,8,6,4]=>0000111=>7
[1,3,5,7,8,2,6,4]=>0000101=>7
[1,6,3,2,7,4,8,5]=>0100111=>7
[3,5,1,6,2,8,7,4]=>0001111=>7
[1,3,7,2,5,4,8,6]=>0001011=>7
[2,6,1,7,4,3,8,5]=>0010111=>7
[1,4,7,3,5,2,8,6]=>0001011=>7
[1,3,7,5,2,4,8,6]=>0001011=>7
[2,5,7,4,3,8,1,6]=>0010011=>7
[2,5,3,7,4,8,1,6]=>0001011=>7
[1,4,7,2,3,8,6,5]=>0000111=>7
[2,4,7,3,1,8,6,5]=>0100111=>7
[1,4,6,3,8,2,7,5]=>0000111=>7
[1,3,5,2,8,7,6,4]=>0001111=>7
[1,4,7,3,8,2,6,5]=>0000111=>7
[2,5,1,7,8,4,6,3]=>0001101=>7
[3,2,6,7,8,1,5,4]=>0101001=>7
[4,3,6,7,8,2,1,5]=>1010001=>7
[3,5,2,7,8,4,1,6]=>0011001=>7
[1,5,7,4,8,3,2,6]=>0100011=>7
[2,5,1,6,8,4,7,3]=>0001011=>7
[4,6,2,1,7,8,3,5]=>1000101=>7
[5,3,6,4,7,8,2,1]=>1001101=>7
[3,5,2,6,8,4,7,1]=>0001011=>7
[2,5,4,6,8,7,1,3]=>0001011=>7
[1,3,6,2,8,7,5,4]=>0001111=>7
[1,4,6,3,8,7,2,5]=>0000111=>7
[2,5,7,4,3,8,6,1]=>0010111=>7
[1,5,7,2,4,8,6,3]=>0000111=>7
[4,6,3,7,2,8,5,1]=>0001111=>7
[4,3,6,7,8,2,5,1]=>0011001=>7
[1,4,7,3,8,6,2,5]=>0000111=>7
[2,5,4,7,8,6,1,3]=>0001101=>7
[3,2,6,7,8,5,1,4]=>0101001=>7
[1,3,7,2,8,6,5,4]=>0001111=>7
[5,1,6,8,2,4,3,7]=>0011001=>7
[5,3,7,8,2,4,1,6]=>0011001=>7
[8,5,3,7,2,4,1,6]=>0011011=>7
[8,2,4,7,3,1,5,6]=>0100011=>7
[2,4,7,8,3,1,5,6]=>0100001=>7
[6,3,1,5,8,2,4,7]=>0100101=>7
[6,5,3,4,2,8,1,7]=>0011101=>7
[5,2,4,3,8,1,6,7]=>0011001=>7
[3,2,4,8,1,5,6,7]=>0100001=>7
[3,2,4,6,8,1,5,7]=>0100001=>7
[8,1,5,7,3,2,4,6]=>0100011=>7
[8,4,6,7,2,3,1,5]=>0100011=>7
[4,6,7,8,2,3,1,5]=>0100001=>7
[7,4,6,8,2,3,1,5]=>0100011=>7
[7,2,4,8,3,1,5,6]=>0100011=>7
[5,3,8,7,2,4,1,6]=>0011011=>7
[2,4,8,7,3,1,5,6]=>0100011=>7
[4,6,8,7,2,3,1,5]=>0100011=>7
[8,7,4,6,2,3,1,5]=>0100111=>7
[5,6,8,7,2,3,1,4]=>0100011=>7
[6,4,8,7,2,3,1,5]=>0100111=>7
[3,1,7,4,2,8,6,5]=>0110111=>7
[3,2,8,4,1,7,6,5]=>0110111=>7
[7,6,4,8,2,3,1,5]=>0100111=>7
[5,7,6,8,2,3,1,4]=>0100011=>7
[4,7,6,8,2,3,1,5]=>0100011=>7
[8,6,4,7,2,3,1,5]=>0100111=>7
[8,2,3,7,4,1,6,5]=>0010111=>7
[2,3,7,8,4,1,6,5]=>0010101=>7
[3,7,4,8,2,5,1,6]=>0001011=>7
[2,3,7,4,1,6,8,5]=>0010011=>7
[8,1,6,4,2,3,7,5]=>0010111=>7
[4,7,8,6,2,3,1,5]=>0100101=>7
[2,4,7,3,1,5,8,6]=>0100011=>7
[6,3,1,7,4,2,8,5]=>0110111=>7
[8,5,7,6,2,3,1,4]=>0100111=>7
[7,5,8,6,2,3,1,4]=>0100111=>7
[7,1,6,4,2,3,8,5]=>0010111=>7
[3,1,7,6,4,2,8,5]=>0110111=>7
[4,8,7,6,2,3,1,5]=>0100111=>7
[6,8,7,5,2,3,1,4]=>0101011=>7
[4,3,6,1,5,8,7,2]=>0010111=>7
[4,3,6,5,1,8,7,2]=>0011111=>7
[4,6,3,5,1,8,7,2]=>0001111=>7
[4,6,3,1,5,8,7,2]=>0100111=>7
[4,1,6,5,3,8,7,2]=>0011111=>7
[4,6,1,5,3,8,7,2]=>0001111=>7
[2,6,5,3,1,8,7,4]=>0101111=>7
[2,6,5,1,8,7,3,4]=>0001111=>7
[2,6,5,8,1,7,3,4]=>0000111=>7
[2,6,5,8,1,3,7,4]=>0000111=>7
[2,6,5,8,3,1,7,4]=>0100111=>7
[2,6,5,3,8,1,7,4]=>0001111=>7
[4,6,1,5,8,3,7,2]=>0000111=>7
[4,1,6,5,8,3,7,2]=>0010111=>7
[1,4,6,5,8,3,7,2]=>0000111=>7
[4,1,6,5,8,7,3,2]=>0110111=>7
[2,6,5,3,8,7,1,4]=>0001111=>7
[6,4,3,8,7,1,5,2]=>0011111=>7
[6,4,8,3,7,1,5,2]=>0001111=>7
[2,6,8,5,3,7,1,4]=>0001011=>7
[4,6,8,1,5,7,3,2]=>0100011=>7
[4,6,1,8,5,7,3,2]=>0100111=>7
[4,1,6,8,5,7,3,2]=>0110011=>7
[1,4,6,8,5,7,3,2]=>0100011=>7
[1,4,6,8,5,3,7,2]=>0001011=>7
[4,6,1,8,5,3,7,2]=>0001111=>7
[2,6,8,5,3,1,7,4]=>0101011=>7
[2,6,8,5,1,7,3,4]=>0001011=>7
[4,6,8,3,5,1,7,2]=>0001011=>7
[4,6,8,3,1,5,7,2]=>0100011=>7
[4,6,3,1,8,5,7,2]=>0100111=>7
[4,6,3,8,1,5,7,2]=>0000111=>7
[4,6,3,8,5,7,1,2]=>0000111=>7
[4,3,6,8,1,5,7,2]=>0010011=>7
[4,3,6,1,8,5,7,2]=>0010111=>7
[4,3,1,6,8,5,7,2]=>0110011=>7
[4,1,3,6,8,7,5,2]=>0011011=>7
[4,3,6,1,8,7,5,2]=>0011111=>7
[4,3,6,8,1,7,5,2]=>0011011=>7
[6,5,2,8,7,3,1,4]=>0101111=>7
[6,5,2,8,7,1,3,4]=>0001111=>7
[6,2,5,8,7,1,3,4]=>0000111=>7
[6,2,5,8,7,3,1,4]=>0100111=>7
[4,6,3,8,1,7,5,2]=>0001111=>7
[4,6,3,1,8,7,5,2]=>0101111=>7
[4,1,6,3,8,7,5,2]=>0011111=>7
[1,4,6,3,8,7,5,2]=>0001111=>7
[4,1,6,8,3,7,5,2]=>0011011=>7
[4,6,1,8,3,7,5,2]=>0001111=>7
[4,6,8,1,3,7,5,2]=>0001011=>7
[6,2,8,5,7,3,1,4]=>0100111=>7
[6,2,8,5,7,1,3,4]=>0000111=>7
[2,4,8,7,1,5,3,6]=>0001011=>7
[4,2,8,7,5,3,1,6]=>0111011=>7
[6,4,1,8,7,5,3,2]=>0111111=>7
[6,1,4,8,7,5,3,2]=>0101111=>7
[1,6,4,8,7,3,5,2]=>0001111=>7
[6,4,1,8,7,3,5,2]=>0011111=>7
[4,2,8,7,5,1,3,6]=>0011011=>7
[2,4,8,7,3,5,1,6]=>0001011=>7
[2,3,4,5,6,8,9,7,1]=>00000101=>8
[2,3,4,7,1,8,6,5]=>0000111=>7
[2,3,4,5,7,8,9,6,1]=>00001001=>8
[2,3,5,6,7,8,9,4,1]=>00100001=>8
[2,4,5,6,7,8,9,3,1]=>01000001=>8
[2,3,4,5,6,7,9,10,8,1]=>000000101=>9
[2,3,4,7,8,5,6,1]=>0000101=>7
[2,3,4,5,8,1,9,7,6]=>00000111=>8
[2,3,4,5,6,8,9,10,7,1]=>000001001=>9
[2,3,6,7,4,8,5,1]=>0001011=>7
[2,3,4,7,1,8,9,6,5]=>00001101=>8
[2,5,6,3,7,8,1,4]=>0000101=>7
[2,3,7,1,4,8,6,5]=>0000111=>7
[2,3,6,1,7,8,9,4,5]=>00001001=>8
[2,3,4,6,7,8,9,10,5,1]=>000100001=>9
[2,6,1,3,7,8,5,4]=>0001101=>7
[2,5,1,6,7,8,9,4,3]=>00110001=>8
[2,3,5,6,7,8,9,10,4,1]=>001000001=>9
[4,1,5,6,7,8,9,3,2]=>01100001=>8
[2,3,4,5,6,7,10,1,8,9]=>000000001=>9
[2,3,4,5,6,7,8,10,11,9,1]=>0000000101=>10
[2,3,4,5,8,9,6,7,1]=>00000101=>8
[2,3,4,5,6,9,1,10,8,7]=>000000111=>9
[2,3,4,5,6,7,9,10,11,8,1]=>0000001001=>10
[2,3,4,7,8,5,9,6,1]=>00001011=>8
[2,3,4,5,8,1,9,10,7,6]=>000001101=>9
[2,3,4,5,6,8,9,10,11,1,7]=>0000000001=>10
[2,5,6,7,4,8,1,3]=>0000011=>7
[2,3,6,7,4,8,9,1,5]=>00000101=>8
[2,3,4,8,1,5,9,7,6]=>00000111=>8
[2,3,4,7,1,8,9,10,5,6]=>000001001=>9
[2,3,4,5,7,8,9,10,11,6,1]=>0000100001=>5
[2,5,6,3,7,8,9,4,1]=>00101001=>8
[2,3,7,8,4,5,6,1]=>0000101=>7
[2,3,7,1,4,8,9,6,5]=>00001101=>8
[2,3,6,1,7,8,9,10,5,4]=>000110001=>9
[2,3,4,6,7,8,9,10,11,5,1]=>0001000001=>10
[4,5,2,6,7,8,9,3,1]=>01010001=>8
[2,6,7,3,4,8,5,1]=>0001011=>7
[2,6,1,3,7,8,9,4,5]=>00001001=>8
[2,5,1,6,7,8,9,10,4,3]=>001100001=>9
[2,3,5,6,7,8,9,10,11,1,4]=>0000000001=>10
[5,1,2,6,7,8,9,4,3]=>00110001=>8
[4,1,5,6,7,8,9,10,2,3]=>001000001=>9
[1,5,3,2,6,4,7,8]=>0101100=>7
[1,5,3,2,6,7,4,8]=>0101010=>7
[1,7,3,2,8,5,4,6]=>0101011=>7
[1,7,3,2,5,8,4,6]=>0100011=>7
[1,3,2,7,5,4,8,6]=>0101011=>7
[6,5,2,4,3,7,1,8]=>0011110=>7
[6,4,2,5,3,7,1,8]=>0011110=>7
[5,4,7,6,2,3,1,8]=>0101110=>7
[3,6,4,8,2,1,5,7]=>1000101=>7
[1,6,2,8,5,3,4,7]=>0001101=>7
[4,6,2,3,7,5,1,8]=>0001110=>7
[4,7,2,3,6,5,1,8]=>0001110=>7
[4,7,2,3,5,6,1,8]=>0000110=>7
[5,3,2,7,4,6,1,8]=>0101110=>7
[5,3,2,6,4,7,1,8]=>0101110=>7
[4,6,2,3,5,7,1,8]=>0000110=>7
[3,5,2,1,6,8,4,7]=>1001001=>7
[1,5,2,6,8,4,3,7]=>0011001=>7
[1,5,7,2,8,4,3,6]=>0010011=>7
[3,5,2,1,8,6,4,7]=>1001101=>7
[3,6,8,4,2,1,5,7]=>1010001=>7
[4,3,2,6,1,8,5,7]=>0110101=>7
[1,5,8,2,7,4,3,6]=>0010011=>7
[1,7,2,3,4,8,6,5]=>0000111=>7
[6,8,2,3,4,1,7,5]=>0010011=>7
[4,1,8,2,3,5,7,6]=>0010011=>7
[2,3,1,8,4,5,7,6]=>0100011=>7
[7,3,2,1,4,5,8,6]=>1100011=>7
[7,8,1,4,3,5,2,6]=>0011001=>7
[7,1,2,3,4,6,8,5]=>0000011=>7
[6,1,2,3,4,8,7,5]=>0000111=>7
[1,8,2,3,4,7,6,5]=>0000111=>7
[8,1,2,3,4,6,7,5]=>0000011=>7
[2,8,1,3,5,4,7,6]=>0001011=>7
[8,7,1,4,3,5,2,6]=>0011011=>7
[8,3,2,1,4,5,7,6]=>1100011=>7
[3,8,2,1,5,6,4,7]=>1000101=>7
[3,8,2,1,6,5,4,7]=>1001101=>7
[1,7,8,3,5,4,2,6]=>0011001=>7
[7,4,1,8,3,5,2,6]=>0011011=>7
[8,4,1,7,3,5,2,6]=>0011011=>7
[3,8,4,6,2,1,5,7]=>1000101=>7
[8,4,2,5,3,1,6,7]=>0111001=>7
[8,5,2,4,3,1,6,7]=>0111001=>7
[8,3,2,5,4,1,6,7]=>0111001=>7
[4,3,2,5,1,8,6,7]=>0111001=>7
[3,5,2,4,1,8,6,7]=>0011001=>7
[2,4,7,8,1,5,3,6]=>0001001=>7
[1,8,7,3,5,4,2,6]=>0011011=>7
[5,1,8,2,7,4,3,6]=>0011011=>7
[5,1,7,2,8,4,3,6]=>0011011=>7
[6,1,2,8,5,3,4,7]=>0001101=>7
[6,3,2,1,8,4,5,7]=>1100101=>7
[7,3,2,8,4,5,1,6]=>0101011=>7
[2,7,8,4,3,5,1,6]=>0011001=>7
[7,1,8,3,5,4,2,6]=>0011011=>7
[7,8,2,3,4,6,1,5]=>0000101=>7
[6,7,1,3,4,8,2,5]=>0000011=>7
[6,8,1,3,4,7,2,5]=>0000011=>7
[1,7,2,3,4,6,8,5]=>0000011=>7
[1,6,2,3,4,8,7,5]=>0000111=>7
[7,6,2,3,4,1,8,5]=>0010111=>7
[8,6,2,3,4,1,7,5]=>0010111=>7
[8,1,7,3,5,4,2,6]=>0011011=>7
[8,3,2,7,4,5,1,6]=>0101011=>7
[6,7,2,3,4,1,8,5]=>0010011=>7
[7,6,2,3,4,8,1,5]=>0000111=>7
[8,6,2,3,4,7,1,5]=>0000111=>7
[6,3,4,8,7,5,1,2]=>0001111=>7
[4,8,7,3,5,6,1,2]=>0000111=>7
[4,8,7,5,3,6,1,2]=>0001111=>7
[5,8,7,3,4,6,1,2]=>0000111=>7
[5,8,4,2,1,6,7,3]=>1010011=>7
[5,8,4,1,2,6,7,3]=>0010011=>7
[5,3,7,2,6,1,8,4]=>0001111=>7
[5,2,8,1,6,3,7,4]=>0001111=>7
[5,8,2,1,4,7,6,3]=>1000111=>7
[4,8,2,5,1,7,6,3]=>0001111=>7
[7,8,4,1,2,6,5,3]=>0011101=>7
[4,8,1,5,2,7,6,3]=>0001111=>7
[5,8,1,2,4,7,6,3]=>0000111=>7
[5,2,8,3,6,7,1,4]=>0001011=>7
[3,8,7,6,2,4,1,5]=>0010111=>7
[2,8,7,6,4,1,3,5]=>0010111=>7
[7,8,2,6,5,1,3,4]=>0001101=>7
[1,8,7,6,4,2,3,5]=>0010111=>7
[2,8,7,6,3,1,4,5]=>0100111=>7
[1,8,7,6,2,4,3,5]=>0010111=>7
[1,8,7,6,3,4,2,5]=>0010111=>7
[2,8,1,4,5,6,7,3]=>0000011=>7
[2,1,7,3,6,5,8,4]=>1000111=>7
[3,1,7,2,6,5,8,4]=>0100111=>7
[3,2,7,1,6,5,8,4]=>0100111=>7
[6,1,2,8,5,7,3,4]=>0000111=>7
[6,2,1,8,5,7,3,4]=>1000111=>7
[6,3,1,8,5,7,2,4]=>0100111=>7
[6,4,2,1,7,5,8,3]=>1010111=>7
[6,1,3,8,5,2,7,4]=>0001111=>7
[2,3,7,1,6,8,5,4]=>0001011=>7
[1,3,7,2,6,8,5,4]=>0001011=>7
[7,8,2,6,5,3,1,4]=>0101101=>7
[3,2,6,7,5,8,1,4]=>0100011=>7
[1,2,7,5,6,3,8,4]=>0000111=>7
[2,8,7,6,4,3,1,5]=>0110111=>7
[3,8,7,6,1,2,5,4]=>0001111=>7
[3,8,7,6,2,1,5,4]=>1001111=>7
[4,8,7,6,2,1,3,5]=>1000111=>7
[4,8,7,6,1,3,2,5]=>0100111=>7
[3,8,7,6,4,1,2,5]=>0010111=>7
[7,8,3,6,5,1,2,4]=>0001101=>7
[2,3,7,5,6,8,1,4]=>0000011=>7
[3,8,7,6,4,2,1,5]=>1010111=>7
[5,1,4,6,8,2,3,7]=>0001001=>7
[1,7,6,3,5,4,8,2]=>0001111=>7
[4,3,7,2,6,5,1,8]=>0011110=>7
[3,4,6,1,5,7,2,8]=>0000110=>7
[1,6,8,5,7,3,4,2]=>0010011=>7
[2,4,1,5,8,6,3,7]=>0010101=>7
[4,6,1,2,5,8,3,7]=>0000101=>7
[5,6,7,2,1,4,8,3]=>1000011=>7
[7,8,6,5,1,2,4,3]=>0011101=>7
[1,3,6,5,7,8,2,4]=>0000101=>7
[7,4,8,5,3,1,6,2]=>0101111=>7
[6,8,5,2,4,1,7,3]=>0011011=>7
[2,3,1,6,8,5,7,4]=>0100011=>7
[7,3,2,5,1,4,8,6]=>0101011=>7
[7,1,4,2,3,6,8,5]=>0010011=>7
[1,5,8,3,4,6,7,2]=>0000011=>7
[8,3,1,2,4,7,6,5]=>0100111=>7
[2,3,8,1,6,5,4,7]=>0001101=>7
[8,1,4,7,2,5,3,6]=>0001011=>7
[3,5,2,4,1,7,8,6]=>0011001=>7
[3,4,7,8,6,2,1,5]=>1000101=>7
[3,4,8,6,2,7,1,5]=>0000111=>7
[5,8,2,1,6,7,3,4]=>1000011=>7
[5,7,2,8,6,4,3,1]=>0110111=>7
[6,1,2,7,5,3,8,4]=>0001111=>7
[7,3,2,8,6,4,1,5]=>0110111=>7
[2,7,8,4,6,3,1,5]=>0100101=>7
[1,4,5,7,2,6,8,3]=>0000011=>7
[7,3,5,2,6,1,8,4]=>0001111=>7
[8,5,2,3,6,1,7,4]=>0001111=>7
[8,1,6,3,5,7,2,4]=>0000111=>7
[2,8,6,4,3,7,1,5]=>0010111=>7
[8,3,2,6,4,7,1,5]=>0100111=>7
[2,3,8,7,6,5,1,4]=>0001111=>7
[1,2,8,7,3,6,5,4]=>0001111=>7
[4,2,8,7,3,6,1,5]=>0010111=>7
[4,5,8,7,1,2,6,3]=>0000111=>7
[1,5,8,7,3,2,6,4]=>0100111=>7
[4,5,8,7,3,2,1,6]=>1100011=>7
[2,6,8,1,7,5,4,3]=>0011011=>7
[3,6,8,4,7,2,1,5]=>1000011=>7
[2,5,8,3,7,6,1,4]=>0000111=>7
[3,2,8,4,7,6,1,5]=>0100111=>7
[1,5,8,3,7,2,6,4]=>0000111=>7
[3,5,8,4,7,2,1,6]=>1000011=>7
[5,6,8,2,3,7,1,4]=>0000011=>7
[1,6,8,4,2,7,5,3]=>0011011=>7
[1,5,8,4,2,7,6,3]=>0010111=>7
[1,5,8,2,3,7,6,4]=>0000111=>7
[2,1,8,4,3,7,6,5]=>1010111=>7
[2,5,8,4,3,7,1,6]=>0010011=>7
[5,6,8,4,1,2,7,3]=>0010011=>7
[5,6,8,1,3,2,7,4]=>0100011=>7
[1,6,8,4,3,2,7,5]=>0110011=>7
[5,6,8,4,3,2,1,7]=>1110001=>7
[7,1,2,8,6,5,4,3]=>0011111=>7
[7,1,4,8,6,2,5,3]=>0001111=>7
[7,3,1,8,6,2,5,4]=>0101111=>7
[7,2,4,8,3,6,1,5]=>0000111=>7
[7,1,4,8,3,2,6,5]=>0100111=>7
[7,4,5,8,3,2,1,6]=>1100011=>7
[1,6,2,8,7,5,4,3]=>0011111=>7
[1,6,4,8,7,2,5,3]=>0001111=>7
[3,6,4,8,7,2,1,5]=>1000111=>7
[3,2,5,8,7,6,1,4]=>0100111=>7
[3,2,4,8,7,6,1,5]=>0100111=>7
[3,1,5,8,7,2,6,4]=>0100111=>7
[3,1,4,8,7,2,6,5]=>0100111=>7
[1,6,4,8,2,7,5,3]=>0001111=>7
[1,4,5,8,2,7,6,3]=>0000111=>7
[2,4,5,8,3,7,1,6]=>0000011=>7
[4,6,5,8,1,2,7,3]=>0000111=>7
[1,6,4,8,3,2,7,5]=>0100111=>7
[1,4,5,8,3,2,7,6]=>0100011=>7
[7,6,1,4,8,2,5,3]=>0001111=>7
[7,6,1,3,8,2,5,4]=>0001111=>7
[7,6,3,4,8,2,1,5]=>1000111=>7
[7,2,5,1,8,6,4,3]=>0011111=>7
[7,2,5,3,8,6,1,4]=>0001111=>7
[7,2,1,4,8,6,5,3]=>1001111=>7
[7,2,1,3,8,6,5,4]=>1001111=>7
[7,2,3,4,8,6,1,5]=>0000111=>7
[7,3,5,4,8,2,1,6]=>1001011=>7
[2,6,5,1,8,7,4,3]=>0011111=>7
[2,3,5,4,8,7,1,6]=>0001011=>7
[1,6,5,4,8,2,7,3]=>0001111=>7
[1,6,5,3,8,2,7,4]=>0001111=>7
[1,6,3,4,8,2,7,5]=>0000111=>7
[1,3,5,4,8,2,7,6]=>0001011=>7
[3,6,5,4,8,2,1,7]=>1001101=>7
[7,6,5,2,3,8,1,4]=>0001111=>7
[7,6,1,4,2,8,5,3]=>0011111=>7
[7,6,1,2,3,8,5,4]=>0001111=>7
[7,6,2,4,3,8,1,5]=>0010111=>7
[7,1,5,4,2,8,6,3]=>0011111=>7
[7,1,5,2,3,8,6,4]=>0001111=>7
[7,1,2,4,3,8,6,5]=>0010111=>7
[2,6,5,4,3,8,1,7]=>0011101=>7
[7,6,1,4,3,2,8,5]=>0110111=>7
[7,1,5,4,3,2,8,6]=>0111011=>7
[3,4,2,6,7,8,1,5]=>0010001=>7
[3,1,4,2,6,8,7,5]=>0110011=>7
[8,3,4,2,6,1,7,5]=>0010111=>7
[2,6,7,3,5,4,1,8]=>0011010=>7
[2,7,8,3,5,4,1,6]=>0011001=>7
[2,6,8,3,5,4,1,7]=>0011001=>7
[4,7,1,2,8,5,3,6]=>0001011=>7
[4,8,1,2,7,5,3,6]=>0001011=>7
[2,1,6,3,7,5,4,8]=>1001110=>7
[2,7,1,3,6,8,4,5]=>0000011=>7
[6,7,3,2,8,1,4,5]=>0100011=>7
[7,3,4,2,6,1,8,5]=>0010111=>7
[7,4,1,2,8,5,3,6]=>0011011=>7
[8,7,4,2,1,5,3,6]=>1011011=>7
[7,4,1,2,6,5,3,8]=>0011110=>7
[7,4,3,1,5,6,8,2]=>0110011=>7
[6,7,4,1,5,8,3,2]=>0110011=>7
[4,7,5,1,6,8,3,2]=>0101011=>7
[4,5,3,1,7,6,8,2]=>0101011=>7
[4,6,1,2,7,5,3,8]=>0001110=>7
[2,7,1,3,6,5,4,8]=>0001110=>7
[4,1,8,2,6,5,3,7]=>0011101=>7
[4,6,1,2,8,5,3,7]=>0001101=>7
[8,4,3,1,5,6,7,2]=>0110011=>7
[4,5,3,1,8,6,7,2]=>0101011=>7
[4,8,5,6,3,1,7,2]=>0100111=>7
[5,1,3,4,8,6,7,2]=>0001011=>7
[5,4,3,8,1,6,7,2]=>0011011=>7
[8,5,3,4,1,6,7,2]=>0011011=>7
[6,4,8,2,1,5,3,7]=>1001101=>7
[6,7,3,2,5,1,4,8]=>0101010=>7
[6,8,3,2,5,1,4,7]=>0101001=>7
[5,7,1,4,6,8,3,2]=>0100011=>7
[5,1,3,4,7,6,8,2]=>0001011=>7
[6,1,4,2,7,5,3,8]=>0011110=>7
[5,4,3,7,1,6,8,2]=>0011011=>7
[6,7,5,4,1,8,3,2]=>0111011=>7
[7,6,4,2,1,5,3,8]=>1011110=>7
[8,2,7,6,5,4,1,3]=>0011111=>7
[7,2,8,6,5,4,3,1]=>0111111=>7
[8,1,9,7,6,5,4,3,2]=>01111111=>8
[2,10,9,8,7,6,5,4,1,3]=>001111111=>9
[9,2,8,7,6,5,4,1,3]=>00111111=>8
[3,9,8,7,6,5,4,1,2]=>00111111=>8
[8,7,2,6,5,4,1,3]=>0011111=>7
[3,2,8,7,6,5,1,4]=>0101111=>7
[4,8,7,6,5,3,1,2]=>0101111=>7
[7,8,6,1,5,4,3,2]=>0111101=>7
[8,9,1,7,6,5,4,3,2]=>01111101=>8
[7,3,8,6,5,4,2,1]=>1011111=>7
[8,2,9,7,6,5,4,3,1]=>01111111=>8
[9,1,10,8,7,6,5,4,3,2]=>011111111=>9
[4,8,5,7,6,3,2,1]=>1100111=>7
[3,8,7,4,6,5,2,1]=>1001111=>7
[2,8,7,6,3,5,4,1]=>0011111=>7
[8,5,6,1,3,2,4,7]=>0100101=>7
[8,6,1,5,3,2,4,7]=>0101101=>7
[7,8,1,5,3,2,4,6]=>0101001=>7
[8,1,7,5,3,2,4,6]=>0101011=>7
[8,6,1,4,5,2,3,7]=>0001101=>7
[8,6,3,1,5,2,4,7]=>0101101=>7
[8,4,6,1,5,2,3,7]=>0001101=>7
[8,6,2,1,5,4,3,7]=>1011101=>7
[8,5,2,6,1,4,3,7]=>0011101=>7
[8,5,2,1,7,4,3,6]=>1011011=>7
[7,8,2,1,5,4,3,6]=>1011001=>7
[7,8,3,1,5,2,4,6]=>0101001=>7
[8,2,7,5,1,3,4,6]=>0001011=>7
[8,4,1,7,5,2,3,6]=>0011011=>7
[8,2,7,1,5,4,3,6]=>0011011=>7
[8,2,6,1,7,4,3,5]=>0010111=>7
[8,1,7,4,3,2,6,5]=>0110111=>7
[8,1,5,7,3,2,6,4]=>0100111=>7
[5,7,8,1,3,2,6,4]=>0100101=>7
[8,2,6,1,5,7,3,4]=>0000111=>7
[5,8,1,6,7,2,3,4]=>0000011=>7
[5,7,6,1,8,2,3,4]=>0000111=>7
[6,7,2,5,1,8,3,4]=>0001011=>7
[7,5,1,6,8,2,3,4]=>0001011=>7
[6,5,7,1,8,2,3,4]=>0000111=>7
[6,7,3,8,1,2,4,5]=>0000011=>7
[7,5,4,1,8,2,3,6]=>0011011=>7
[7,6,1,4,8,2,3,5]=>0000111=>7
[8,1,6,4,7,2,3,5]=>0000111=>7
[7,5,8,1,3,2,4,6]=>0100011=>7
[7,8,4,1,3,2,5,6]=>0110001=>7
[8,3,7,4,1,2,5,6]=>0010011=>7
[8,5,1,7,3,2,4,6]=>0101011=>7
[6,8,1,7,3,2,4,5]=>0100011=>7
[7,1,8,4,3,6,2,5]=>0010111=>7
[7,3,1,8,6,4,2,5]=>0110111=>7
[8,3,1,7,4,6,2,5]=>0100111=>7
[8,4,5,1,7,2,3,6]=>0001011=>7
[5,6,8,1,7,2,3,4]=>0000011=>7
[6,5,8,1,2,7,3,4]=>0000111=>7
[7,3,1,8,5,6,2,4]=>0100111=>7
[6,2,7,8,3,1,5,4]=>0101101=>7
[5,8,1,7,3,2,6,4]=>0100111=>7
[8,4,1,7,3,2,6,5]=>0110111=>7
[8,3,4,7,1,2,6,5]=>0000111=>7
[8,2,7,4,1,3,6,5]=>0010111=>7
[7,4,8,2,1,3,6,5]=>1000111=>7
[7,4,3,8,1,2,6,5]=>0010111=>7
[8,2,3,6,7,1,5,4]=>0001011=>7
[2,6,8,7,1,5,4,3]=>0011011=>7
[7,8,5,2,3,6,4,1]=>0011101=>7
[8,7,5,2,3,1,6,4]=>0101111=>7
[6,8,5,2,3,4,7,1]=>0001011=>7
[3,5,2,6,8,1,4,7]=>0001001=>7
[3,5,2,4,6,8,1,7]=>0001001=>7
[2,4,5,7,3,6,8,1]=>0000011=>7
[2,4,5,3,6,8,1,7]=>0001001=>7
[5,2,4,6,8,1,3,7]=>0001001=>7
[5,1,3,4,6,8,2,7]=>0001001=>7
[4,3,5,2,6,8,1,7]=>0011001=>7
[4,3,5,7,2,8,1,6]=>0010011=>7
[4,3,5,7,2,6,8,1]=>0010011=>7
[4,6,3,7,2,5,8,1]=>0000111=>7
[4,6,3,1,7,8,2,5]=>0100101=>7
[4,3,5,1,7,8,2,6]=>0011001=>7
[5,7,1,3,4,8,2,6]=>0000011=>7
[5,7,1,3,4,6,8,2]=>0000011=>7
[4,5,7,1,3,6,8,2]=>0000011=>7
[4,3,6,7,1,5,8,2]=>0010011=>7
[4,6,3,5,1,7,8,2]=>0001101=>7
[4,6,3,5,7,2,8,1]=>0000111=>7
[3,5,6,4,1,7,8,2]=>0010101=>7
[3,1,5,6,7,4,8,2]=>0100011=>7
[5,1,6,7,3,4,8,2]=>0001011=>7
[6,4,7,1,3,5,8,2]=>0000111=>7
[1,6,7,3,4,5,8,2]=>0000011=>7
[2,6,7,4,5,8,1,3]=>0000011=>7
[2,6,7,4,8,1,3,5]=>0000011=>7
[5,3,6,1,2,7,8,4]=>0001101=>7
[3,5,2,6,1,7,8,4]=>0001101=>7
[3,5,2,6,7,4,8,1]=>0001011=>7
[5,2,3,6,7,4,8,1]=>0001011=>7
[5,2,3,6,1,7,8,4]=>0001101=>7
[5,2,6,1,3,7,8,4]=>0001101=>7
[4,2,6,7,3,5,8,1]=>0010011=>7
[6,3,7,2,4,5,8,1]=>0000111=>7
[3,5,7,2,8,1,4,6]=>0000011=>7
[3,7,2,4,8,1,5,6]=>0000011=>7
[7,2,4,6,8,1,3,5]=>0000011=>7
[7,1,3,4,6,8,2,5]=>0000011=>7
[3,7,2,4,6,8,1,5]=>0000011=>7
[3,5,7,2,6,8,1,4]=>0000011=>7
[6,3,7,2,5,8,1,4]=>0000111=>7
[6,3,5,7,2,8,1,4]=>0000111=>7
[6,3,5,7,2,4,8,1]=>0000111=>7
[6,2,4,5,7,3,8,1]=>0000111=>7
[6,2,4,5,1,7,8,3]=>0001101=>7
[4,7,1,2,5,6,8,3]=>0000011=>7
[2,6,7,5,8,1,3,4]=>0000011=>7
[4,6,7,1,2,5,8,3]=>0000011=>7
[5,6,2,4,7,3,8,1]=>0000111=>7
[5,4,2,6,7,3,8,1]=>0011011=>7
[5,4,2,6,1,7,8,3]=>0011101=>7
[1,5,4,6,2,7,8,3]=>0001101=>7
[5,6,4,1,2,7,8,3]=>0010101=>7
[6,4,5,1,2,7,8,3]=>0001101=>7
[6,3,5,1,7,8,2,4]=>0001101=>7
[6,5,7,2,8,1,3,4]=>0000111=>7
[6,5,7,1,3,4,8,2]=>0000111=>7
[5,6,4,7,1,3,8,2]=>0000111=>7
[5,4,6,3,1,7,8,2]=>0101101=>7
[7,5,3,2,4,8,1,6]=>0101011=>7
[8,4,5,2,6,1,3,7]=>0001101=>7
[8,5,4,2,1,6,3,7]=>1011101=>7
[8,5,3,4,1,6,2,7]=>0011101=>7
[8,4,5,3,1,6,2,7]=>0101101=>7
[7,5,4,2,1,8,3,6]=>1011011=>7
[7,5,4,2,1,6,8,3]=>1011011=>7
[7,4,5,3,1,6,8,2]=>0101011=>7
[7,4,3,5,6,1,8,2]=>0010111=>7
[5,6,3,7,4,1,8,2]=>0010111=>7
[5,6,7,3,1,4,8,2]=>0100011=>7
[6,7,3,4,1,5,8,2]=>0010011=>7
[6,7,4,2,1,5,8,3]=>1010011=>7
[5,6,7,3,1,8,2,4]=>0100011=>7
[5,6,3,7,8,1,2,4]=>0000101=>7
[5,6,3,7,2,4,8,1]=>0000111=>7
[5,6,7,2,3,8,1,4]=>0000011=>7
[7,4,5,2,8,1,3,6]=>0001011=>7
[6,7,3,2,4,8,1,5]=>0100011=>7
[7,6,4,2,1,3,8,5]=>1010111=>7
[7,6,3,4,1,2,8,5]=>0010111=>7
[7,6,3,2,4,1,8,5]=>0110111=>7
[6,7,3,2,5,1,8,4]=>0101011=>7
[6,5,3,2,7,8,1,4]=>0101101=>7
[6,5,3,2,7,4,8,1]=>0101111=>7
[6,4,5,2,7,3,8,1]=>0001111=>7
[6,4,5,2,7,8,1,3]=>0001101=>7
[7,4,5,2,6,1,8,3]=>0001111=>7
[7,4,5,6,1,2,8,3]=>0000111=>7
[7,5,6,2,1,3,8,4]=>1000111=>7
[6,7,3,5,1,2,8,4]=>0001011=>7
[5,6,7,4,1,2,8,3]=>0010011=>7
[5,6,7,2,4,1,8,3]=>0010011=>7
[5,6,4,2,7,8,1,3]=>0010101=>7
[6,5,7,2,1,8,3,4]=>1000111=>7
[6,5,7,2,1,4,8,3]=>1000111=>7
[5,4,6,7,3,1,8,2]=>0101011=>7
[5,7,8,3,6,4,1,2]=>0010101=>7
[3,7,8,5,6,4,1,2]=>0010101=>7
[3,7,8,5,6,1,4,2]=>0010101=>7
[1,7,8,5,6,3,4,2]=>0010101=>7
[1,7,5,8,6,3,4,2]=>0010111=>7
[3,7,5,8,6,1,4,2]=>0010111=>7
[3,7,5,8,6,4,1,2]=>0010111=>7
[5,7,3,8,6,4,1,2]=>0010111=>7
[7,3,8,5,6,4,1,2]=>0010111=>7
[7,3,5,8,6,4,1,2]=>0010111=>7
[3,5,7,8,6,4,1,2]=>0010101=>7
[1,5,7,8,6,3,4,2]=>0010101=>7
[1,5,7,8,3,6,4,2]=>0010101=>7
[3,5,7,8,1,6,4,2]=>0010101=>7
[5,3,7,8,1,6,4,2]=>0011101=>7
[7,3,5,8,6,1,4,2]=>0010111=>7
[7,3,8,5,6,1,4,2]=>0010111=>7
[7,8,1,5,6,3,4,2]=>0010101=>7
[7,1,8,5,6,3,4,2]=>0010111=>7
[7,1,5,8,6,3,4,2]=>0010111=>7
[5,1,7,8,3,6,4,2]=>0011101=>7
[3,1,7,8,5,6,4,2]=>0110101=>7
[1,3,7,8,5,6,4,2]=>0010101=>7
[3,1,7,5,8,6,4,2]=>0110111=>7
[5,1,7,3,8,6,4,2]=>0011111=>7
[7,1,5,3,8,6,4,2]=>0011111=>7
[7,1,5,8,3,6,4,2]=>0010111=>7
[7,8,1,5,3,6,4,2]=>0011101=>7
[7,8,3,5,1,6,4,2]=>0011101=>7
[7,3,5,8,1,6,4,2]=>0010111=>7
[5,3,7,1,8,6,4,2]=>0011111=>7
[3,5,7,1,8,6,4,2]=>0010111=>7
[1,7,5,3,8,6,4,2]=>0011111=>7
[5,7,3,1,8,6,4,2]=>0110111=>7
[5,7,3,8,6,1,4,2]=>0010111=>7
[3,7,5,8,1,6,4,2]=>0010111=>7
[1,7,5,8,3,6,4,2]=>0010111=>7
[1,7,8,5,3,6,4,2]=>0011101=>7
[3,7,8,5,1,6,4,2]=>0011101=>7
[5,7,8,3,6,1,4,2]=>0010101=>7
[5,7,8,6,3,1,4,2]=>0110101=>7
[7,5,8,6,1,3,4,2]=>0010111=>7
[5,7,8,1,6,3,4,2]=>0010101=>7
[5,7,8,1,3,6,4,2]=>0010101=>7
[3,7,8,1,5,6,4,2]=>0010101=>7
[1,7,8,3,5,6,4,2]=>0010101=>7
[1,7,3,8,5,6,4,2]=>0010111=>7
[3,7,1,8,5,6,4,2]=>0010111=>7
[5,7,1,8,3,6,4,2]=>0010111=>7
[5,7,1,8,6,3,4,2]=>0010111=>7
[7,5,1,8,6,3,4,2]=>0011111=>7
[7,5,8,1,6,3,4,2]=>0010111=>7
[7,8,5,1,6,3,4,2]=>0011101=>7
[7,8,5,1,3,6,4,2]=>0011101=>7
[7,5,8,1,3,6,4,2]=>0010111=>7
[7,5,1,8,3,6,4,2]=>0011111=>7
[7,5,1,3,8,6,4,2]=>0011111=>7
[5,7,1,3,8,6,4,2]=>0010111=>7
[3,7,1,5,8,6,4,2]=>0010111=>7
[1,7,3,5,8,6,4,2]=>0010111=>7
[1,5,3,7,8,6,4,2]=>0011101=>7
[3,5,1,7,8,6,4,2]=>0011101=>7
[5,3,1,7,8,6,4,2]=>0111101=>7
[7,3,1,5,8,6,4,2]=>0110111=>7
[7,3,1,8,5,6,4,2]=>0110111=>7
[7,3,8,1,5,6,4,2]=>0010111=>7
[7,8,3,1,5,6,4,2]=>0110101=>7
[7,8,1,3,5,6,4,2]=>0010101=>7
[7,1,8,3,5,6,4,2]=>0010111=>7
[7,1,3,8,5,6,4,2]=>0010111=>7
[7,1,3,5,8,6,4,2]=>0010111=>7
[3,1,5,7,8,6,4,2]=>0110101=>7
[5,7,3,4,6,8,1,2]=>0000011=>7
[5,7,3,4,8,6,1,2]=>0000111=>7
[5,7,3,4,8,1,6,2]=>0000111=>7
[5,7,3,4,1,8,6,2]=>0010111=>7
[5,7,3,4,1,6,8,2]=>0010011=>7
[5,7,3,4,6,1,2,8]=>0000110=>7
[7,3,5,6,1,2,8,4]=>0000111=>7
[5,7,3,1,4,6,2,8]=>0100110=>7
[5,7,3,1,4,6,8,2]=>0100011=>7
[5,7,3,1,4,8,6,2]=>0100111=>7
[5,7,3,1,4,8,2,6]=>0100011=>7
[5,3,7,4,1,2,8,6]=>0011011=>7
[5,3,7,4,1,2,6,8]=>0011010=>7
[5,3,7,1,4,2,6,8]=>0011010=>7
[5,3,7,1,4,2,8,6]=>0011011=>7
[3,7,5,1,2,8,6,4]=>0001111=>7
[7,8,3,5,1,2,6,4]=>0001101=>7
[7,3,8,5,1,2,6,4]=>0001111=>7
[7,3,5,8,1,2,6,4]=>0000111=>7
[3,7,5,1,2,6,4,8]=>0001110=>7
[3,7,5,1,2,6,8,4]=>0001011=>7
[6,1,4,3,5,2,8,7]=>0011101=>7
[2,5,7,3,8,4,1,6]=>0010011=>7
[5,4,7,8,6,1,3,2]=>0101101=>7
[7,5,6,2,8,3,1,4]=>0100111=>7
[4,7,2,5,8,3,1,6]=>0100011=>7
[6,2,4,5,1,3,8,7]=>0001101=>7
[5,1,4,6,3,2,8,7]=>0101101=>7
[3,5,6,2,4,1,8,7]=>0010101=>7
[3,8,6,7,5,4,1,2]=>0011011=>7
[6,2,7,8,3,4,1,5]=>0010101=>7
[2,5,3,4,8,1,7,6]=>0001011=>7
[8,7,1,2,5,3,4,6]=>0001011=>7
[5,1,8,2,3,4,7,6]=>0001011=>7
[5,4,7,6,2,8,1,3]=>0001111=>7
[3,7,8,1,5,4,6,2]=>0001101=>7
[7,1,3,4,6,8,5,2]=>0001011=>7
[8,3,6,5,7,1,4,2]=>0010111=>7
[5,8,7,1,4,6,2,3]=>0000111=>7
[4,7,6,1,8,3,5,2]=>0001111=>7
[4,7,2,6,3,8,5,1]=>0001111=>7
[2,1,8,4,6,7,3,5]=>1000011=>7
[4,7,8,6,3,1,2,5]=>0100101=>7
[3,8,1,5,6,7,2,4]=>0000011=>7
[6,7,2,4,8,5,3,1]=>0101011=>7
[2,8,3,6,7,5,1,4]=>0001011=>7
[8,2,1,7,6,3,5,4]=>1001111=>7
[3,2,4,5,8,1,7,6]=>0100011=>7
[7,4,6,3,2,1,8,5]=>1100111=>7
[4,7,3,2,1,8,6,5]=>1100111=>7
[6,4,7,5,2,3,8,1]=>0001111=>7
[6,4,8,1,7,3,2,5]=>0100111=>7
[4,8,7,2,3,1,5,6]=>0100011=>7
[4,2,3,1,8,7,5,6]=>0110011=>7
[7,6,8,1,3,5,2,4]=>0001011=>7
[6,7,5,2,3,1,8,4]=>0101011=>7
[4,7,2,6,5,1,8,3]=>0001111=>7
[6,4,2,1,8,5,7,3]=>1010111=>7
[7,2,1,5,6,8,4,3]=>1010011=>7
[8,7,2,6,4,1,5,3]=>0011111=>7
[6,7,8,2,5,3,1,4]=>0101001=>7
[2,1,7,3,6,8,5,4]=>1001011=>7
[2,1,5,7,8,4,6,3]=>1000101=>7
[2,5,7,8,3,6,1,4]=>0000101=>7
[6,4,1,5,7,2,8,3]=>0010111=>7
[7,4,8,1,2,5,6,3]=>0000111=>7
[4,2,7,8,6,3,5,1]=>0011101=>7
[6,1,7,4,3,2,8,5]=>0110111=>7
[6,8,3,4,2,1,7,5]=>1010011=>7
[4,2,6,1,5,7,8,3]=>0010101=>7
[2,4,6,7,3,5,8,1]=>0000011=>7
[6,5,8,3,7,4,1,2]=>0010111=>7
[7,1,4,8,3,5,6,2]=>0000111=>7
[6,8,7,5,3,4,1,2]=>0011011=>7
[4,8,6,3,1,5,7,2]=>0100111=>7
[3,4,8,2,5,7,6,1]=>0000111=>7
[3,6,8,7,2,5,1,4]=>0001011=>7
[3,5,7,2,8,6,1,4]=>0000111=>7
[2,5,7,4,8,6,1,3]=>0000111=>7
[1,6,3,7,5,2,8,4]=>0001111=>7
[2,6,3,7,5,1,8,4]=>0001111=>7
[2,6,4,8,7,5,1,3]=>0001111=>7
[6,3,7,2,8,5,1,4]=>0001111=>7
[3,6,2,5,8,7,1,4]=>0000111=>7
[5,2,8,4,7,6,1,3]=>0001111=>7
[7,2,4,8,6,5,1,3]=>0001111=>7
[6,2,4,8,7,5,1,3]=>0001111=>7
[2,4,5,8,7,6,1,3]=>0000111=>7
[2,3,5,7,6,1,8,4]=>0000111=>7
[1,3,4,6,2,8,7,5]=>0000111=>7
[5,2,3,6,1,8,7,4]=>0001111=>7
[4,2,7,3,8,1,6,5]=>0010111=>7
[2,5,1,4,7,3,8,6]=>0001011=>7
[6,1,3,8,7,2,5,4]=>0001111=>7
[3,1,5,6,2,8,7,4]=>0100111=>7
[1,2,4,6,3,8,7,5]=>0000111=>7
[4,1,5,2,8,7,6,3]=>0011111=>7
[7,1,4,2,8,6,5,3]=>0011111=>7
[5,1,3,7,2,8,6,4]=>0001111=>7
[4,1,5,3,2,8,7,6]=>0111011=>7
[2,6,1,4,3,8,7,5]=>0010111=>7
[3,6,2,4,1,8,7,5]=>0010111=>7
[7,2,3,5,1,8,6,4]=>0001111=>7
[7,3,4,1,8,6,5,2]=>0011111=>7
[6,3,4,1,8,7,5,2]=>0011111=>7
[3,4,5,1,8,7,6,2]=>0001111=>7
[1,4,5,2,8,7,6,3]=>0001111=>7
[1,6,4,2,8,7,5,3]=>0011111=>7
[5,6,3,1,8,7,4,2]=>0110111=>7
[7,4,2,5,1,8,6,3]=>0011111=>7
[5,3,6,2,8,1,7,4]=>0001111=>7
[4,6,2,7,5,1,8,3]=>0001111=>7
[4,5,2,6,1,8,7,3]=>0001111=>7
[1,5,3,6,2,8,7,4]=>0001111=>7
[1,5,8,3,2,7,6,4]=>0100111=>7
[2,5,8,3,1,7,6,4]=>0100111=>7
[4,5,8,2,1,7,6,3]=>1000111=>7
[3,6,2,5,1,4,8,7]=>0001101=>7
[5,2,8,4,1,3,7,6]=>0011011=>7
[2,4,8,7,1,3,6,5]=>0000111=>7
[2,5,8,1,3,7,6,4]=>0000111=>7
[2,3,8,1,4,7,6,5]=>0000111=>7
[1,3,8,2,4,7,6,5]=>0000111=>7
[3,4,1,7,2,8,6,5]=>0010111=>7
[3,5,2,1,7,4,8,6]=>1001011=>7
[6,3,1,7,2,8,5,4]=>0101111=>7
[7,5,1,2,8,6,4,3]=>0011111=>7
[4,6,1,2,8,7,5,3]=>0001111=>7
[1,6,2,3,8,7,5,4]=>0001111=>7
[1,5,2,3,8,7,6,4]=>0001111=>7
[4,5,1,2,8,7,6,3]=>0001111=>7
[6,4,1,2,8,7,5,3]=>0011111=>7
[7,4,1,2,8,6,5,3]=>0011111=>7
[5,3,1,7,2,8,6,4]=>0101111=>7
[5,2,8,1,3,7,6,4]=>0001111=>7
[4,1,2,8,3,7,6,5]=>0010111=>7
[4,7,5,6,8,3,1,2]=>0100011=>7
[8,6,4,7,5,3,1,2]=>0101111=>7
[7,5,2,6,4,1,3,8]=>0011110=>7
[1,6,3,7,5,8,4,2]=>0010111=>7
[1,3,7,4,5,8,6,2]=>0000111=>7
[7,2,6,3,4,1,5,8]=>0010110=>7
[8,3,7,4,6,5,1,2]=>0001111=>7
[6,8,4,7,5,3,1,2]=>0101011=>7
[4,8,7,5,6,3,1,2]=>0100111=>7
[3,8,7,6,4,5,1,2]=>0001111=>7
[1,6,5,2,8,3,7,4]=>0001111=>7
[8,6,5,2,1,4,3,7]=>1011101=>7
[2,7,6,3,1,4,5,8]=>0100110=>7
[6,8,5,3,2,1,4,7]=>1101001=>7
[2,7,6,4,5,1,3,8]=>0001110=>7
[5,7,2,6,4,1,3,8]=>0010110=>7
[6,1,3,7,5,8,4,2]=>0010111=>7
[4,1,7,3,6,8,5,2]=>0011011=>7
[8,1,6,4,3,7,5,2]=>0011111=>7
[2,1,7,4,8,6,3,5]=>1000111=>7
[1,8,6,3,7,5,4,2]=>0011111=>7
[1,8,2,7,3,6,5,4]=>0001111=>7
[2,1,3,8,4,7,5,6]=>1000011=>7
[8,1,2,7,4,3,6,5]=>0010111=>7
[5,3,1,6,8,4,7,2]=>0101011=>7
[6,2,8,7,1,4,3,5]=>0010111=>7
[8,7,2,1,5,4,3,6]=>1011011=>7
[8,2,3,1,4,6,5,7]=>0100101=>7
[2,4,8,3,1,5,6,7]=>0100001=>7
[3,4,2,7,1,5,6,8]=>0010010=>7
[4,7,3,8,2,1,5,6]=>1000011=>7
[5,2,7,3,1,4,6,8]=>0101010=>7
[8,3,7,2,1,5,4,6]=>1001011=>7
[1,3,7,2,8,4,6,5]=>0000111=>7
[1,4,2,5,8,6,7,3]=>0010011=>7
[6,5,3,8,2,1,4,7]=>1001101=>7
[2,6,4,5,7,1,3,8]=>0000110=>7
[5,4,6,2,7,1,3,8]=>0001110=>7
[7,6,3,1,8,4,5,2]=>0101111=>7
[7,6,2,1,8,5,3,4]=>1001111=>7
[1,7,5,8,6,4,3,2]=>0110111=>7
[6,5,1,2,8,3,7,4]=>0001111=>7
[8,6,1,4,3,7,5,2]=>0011111=>7
[6,8,4,1,3,7,5,2]=>0011011=>7
[6,5,7,1,3,8,4,2]=>0010111=>7
[5,8,3,1,7,4,6,2]=>0100111=>7
[8,3,1,7,5,4,6,2]=>0101111=>7
[1,3,8,7,4,6,5,2]=>0001111=>7
[1,2,8,7,6,3,5,4]=>0001111=>7
[8,2,1,7,6,4,3,5]=>1010111=>7
[2,3,1,8,7,4,5,6]=>0100011=>7
[2,4,1,8,5,7,3,6]=>0010011=>7
[5,8,2,1,7,6,3,4]=>1000111=>7
[6,2,7,1,8,5,3,4]=>0001111=>7
[8,7,1,6,5,4,3,2]=>0111111=>7
[7,1,8,3,6,5,4,2]=>0011111=>7
[4,1,8,7,5,6,3,2]=>0110111=>7
[8,1,2,3,4,5,9,6,7]=>00000011=>8
[8,1,2,3,4,9,5,6,7]=>00000011=>8
[8,1,2,9,3,4,5,6,7]=>00000011=>8
[8,1,9,2,3,4,5,6,7]=>00000011=>8
[6,1,2,3,4,5,8,9,7]=>00001001=>8
[9,1,2,3,4,5,6,10,7,8]=>000000011=>9
[5,1,2,3,4,8,9,6,7]=>00010001=>4
[9,1,2,3,4,5,10,6,7,8]=>000000011=>9
[4,1,2,3,8,9,5,6,7]=>00100001=>8
[3,1,2,8,9,4,5,6,7]=>01000001=>8
[9,1,2,3,10,4,5,6,7,8]=>000000011=>9
[2,1,8,9,3,4,5,6,7]=>10000001=>8
[9,1,2,10,3,4,5,6,7,8]=>000000011=>9
[3,5,8,7,2,6,4,1]=>0010111=>7
[5,8,2,7,1,6,4,3]=>0010111=>7
[2,1,6,4,5,8,3,7]=>1000101=>7
[8,6,3,7,5,2,1,4]=>1001111=>7
[4,6,3,8,5,2,1,7]=>1001101=>7
[4,6,3,7,5,2,8,1]=>0001111=>7
[3,5,7,8,2,6,1,4]=>0000101=>7
[8,2,3,4,6,1,5,7]=>0000101=>7
[7,2,3,4,6,8,5,1]=>0001011=>7
[4,2,3,6,1,5,8,7]=>0010101=>7
[4,8,3,7,5,1,6,2]=>0001111=>7
[5,2,3,4,8,7,1,6]=>0001011=>7
[5,2,3,4,6,8,1,7]=>0001001=>7
[4,2,8,5,7,6,1,3]=>0010111=>7
[3,7,6,4,5,1,8,2]=>0001111=>7
[3,8,6,4,5,1,2,7]=>0001101=>7
[4,8,3,7,5,2,1,6]=>1001011=>7
[8,7,3,6,5,1,2,4]=>0001111=>7
[4,2,7,5,8,6,3,1]=>0110111=>7
[5,8,1,7,3,6,4,2]=>0010111=>7
[5,2,7,8,4,6,3,1]=>0101101=>7
[5,2,8,3,7,6,1,4]=>0001111=>7
[8,2,7,3,1,6,4,5]=>0100111=>7
[6,2,3,4,8,5,1,7]=>0001101=>7
[6,2,3,4,1,8,5,7]=>0010101=>7
[7,2,3,4,1,8,6,5]=>0010111=>7
[7,2,3,4,1,5,8,6]=>0010011=>7
[1,2,3,4,8,7,5,6]=>0000011=>7
[1,2,8,5,3,4,6,7]=>0001001=>7
[1,8,4,2,3,5,6,7]=>0010001=>7
[8,6,7,4,1,5,3,2]=>0111011=>7
[4,8,6,7,5,1,3,2]=>0101011=>7
[7,1,8,4,6,5,2,3]=>0001111=>7
[8,7,1,5,4,6,2,3]=>0001111=>7
[8,5,7,1,4,6,3,2]=>0100111=>7
[6,4,8,5,1,7,3,2]=>0101111=>7
[4,8,5,7,1,6,3,2]=>0100111=>7
[8,4,7,1,5,6,3,2]=>0100111=>7
[8,7,1,4,5,6,3,2]=>0100111=>7
[8,7,4,5,6,1,3,2]=>0100111=>7
[8,7,5,1,4,6,2,3]=>0001111=>7
[8,7,2,5,1,4,6,3]=>0001111=>7
[4,8,7,2,5,1,6,3]=>0001111=>7
[1,6,4,8,5,2,7,3]=>0001111=>7
[8,7,1,4,2,5,6,3]=>0010111=>7
[8,7,5,1,2,4,6,3]=>0001111=>7
[7,1,8,5,6,2,3,4]=>0000111=>7
[3,8,7,1,2,5,6,4]=>0000111=>7
[3,5,8,7,1,2,6,4]=>0000111=>7
[2,3,8,5,7,1,6,4]=>0000111=>7
[3,8,7,1,5,6,2,4]=>0000111=>7
[3,5,8,7,1,6,2,4]=>0000111=>7
[2,3,8,6,7,5,1,4]=>0001011=>7
[3,2,8,6,7,5,1,4]=>0101011=>7
[4,1,8,6,2,7,5,3]=>0011111=>7
[8,7,4,1,2,6,5,3]=>0011111=>7
[1,3,8,6,7,5,2,4]=>0001011=>7
[5,7,1,8,2,6,3,4]=>0000111=>7
[2,8,7,1,5,6,3,4]=>0000111=>7
[8,7,1,5,2,4,6,3]=>0001111=>7
[7,1,8,2,4,6,5,3]=>0001111=>7
[1,6,2,8,4,7,5,3]=>0001111=>7
[1,3,8,5,7,2,6,4]=>0000111=>7
[1,8,3,7,2,5,6,4]=>0000111=>7
[2,8,7,1,3,5,6,4]=>0000111=>7
[5,7,1,8,2,3,6,4]=>0000111=>7
[7,1,8,2,3,5,6,4]=>0000111=>7
[8,6,3,7,4,1,5,2]=>0011111=>7
[4,2,8,6,7,5,1,3]=>0011011=>7
[8,4,2,7,5,6,1,3]=>0010111=>7
[4,8,3,6,1,7,5,2]=>0001111=>7
[8,3,4,7,5,1,6,2]=>0001111=>7
[8,3,7,4,5,1,6,2]=>0001111=>7
[8,7,4,2,5,6,1,3]=>0010111=>7
[8,7,5,1,6,2,3,4]=>0001111=>7
[8,7,2,4,1,5,6,3]=>0010111=>7
[4,8,6,1,7,2,5,3]=>0001111=>7
[4,7,1,8,2,6,5,3]=>0001111=>7
[4,2,8,6,7,1,5,3]=>0011011=>7
[8,7,4,1,2,5,6,3]=>0010111=>7
[8,2,7,1,6,3,4,5]=>0000111=>7
[8,2,7,1,3,6,4,5]=>0000111=>7
[2,8,3,6,7,1,5,4]=>0001011=>7
[8,7,2,1,3,5,6,4]=>1000111=>7
[1,8,7,2,3,6,4,5]=>0000111=>7
[1,8,7,2,6,3,4,5]=>0000111=>7
[8,2,7,3,6,1,4,5]=>0000111=>7
[1,8,7,3,6,2,4,5]=>0000111=>7
[1,8,2,7,6,3,4,5]=>0000111=>7
[8,2,7,4,1,5,6,3]=>0010111=>7
[8,2,1,7,5,6,3,4]=>1000111=>7
[8,7,3,1,5,6,2,4]=>0100111=>7
[2,8,7,3,5,6,1,4]=>0000111=>7
[8,3,1,6,7,5,2,4]=>0101011=>7
[8,5,2,1,6,7,4,3]=>1011011=>7
[1,5,2,8,6,7,4,3]=>0011011=>7
[1,2,8,6,7,5,3,4]=>0001011=>7
[1,8,3,6,7,5,2,4]=>0001011=>7
[8,2,3,6,7,5,1,4]=>0001011=>7
[8,3,7,2,5,6,1,4]=>0000111=>7
[8,1,3,7,5,6,2,4]=>0000111=>7
[8,4,1,2,7,5,6,3]=>0010111=>7
[8,1,4,2,6,7,5,3]=>0011011=>7
[1,2,8,6,7,3,5,4]=>0001011=>7
[8,1,2,7,3,6,4,5]=>0000111=>7
[8,1,7,3,6,2,4,5]=>0000111=>7
[8,1,7,2,6,3,4,5]=>0000111=>7
[8,1,7,2,3,6,4,5]=>0000111=>7
[8,1,3,7,2,5,6,4]=>0000111=>7
[1,8,3,6,7,2,5,4]=>0001011=>7
[1,7,8,2,3,6,5,4]=>0001101=>7
[8,3,7,1,2,5,6,4]=>0000111=>7
[8,7,1,2,3,6,4,5]=>0000111=>7
[2,8,5,7,4,6,3,1]=>0100111=>7
[3,1,8,5,7,4,2,6]=>0110011=>7
[8,3,5,7,4,2,6,1]=>0010111=>7
[8,3,6,2,4,5,7,1]=>0000111=>7
[2,8,6,4,3,5,7,1]=>0010111=>7
[2,6,8,3,5,4,7,1]=>0001011=>7
[2,7,5,8,4,6,3,1]=>0100111=>7
[8,4,2,7,6,1,3,5]=>0010111=>7
[4,8,1,7,6,3,2,5]=>0100111=>7
[4,1,7,6,2,3,5,8]=>0010110=>7
[3,7,1,8,6,2,5,4]=>0001111=>7
[3,1,7,6,4,5,2,8]=>0101110=>7
[3,1,7,5,8,4,2,6]=>0110011=>7
[3,1,6,8,7,5,2,4]=>0101011=>7
[6,3,8,7,5,2,4,1]=>0011111=>7
[7,3,5,8,4,2,6,1]=>0010111=>7
[7,3,6,4,2,8,5,1]=>0011111=>7
[7,8,3,6,2,5,4,1]=>0011101=>7
[7,4,8,2,1,6,3,5]=>1000111=>7
[8,7,4,6,3,2,5,1]=>0101111=>7
[7,8,5,2,1,4,3,6]=>1011001=>7
[7,5,2,3,1,4,8,6]=>0101011=>7
[7,4,6,2,3,8,1,5]=>0000111=>7
[6,4,2,5,8,3,7,1]=>0010111=>7
[4,6,5,8,1,3,2,7]=>0100101=>7
[4,7,1,5,3,8,2,6]=>0001011=>7
[4,7,8,1,3,6,2,5]=>0000101=>7
[5,7,1,3,4,6,2,8]=>0000110=>7
[5,7,1,4,2,3,6,8]=>0010010=>7
[5,8,1,3,2,4,6,7]=>0100001=>7
[4,8,6,1,3,2,7,5]=>0100111=>7
[8,4,6,2,1,3,7,5]=>1000111=>7
[5,4,8,7,2,3,6,1]=>0001111=>7
[5,4,8,7,3,1,2,6]=>0101011=>7
[6,8,3,7,2,5,4,1]=>0011011=>7
[5,4,6,8,2,3,7,1]=>0001011=>7
[5,7,4,2,8,3,6,1]=>0010111=>7
[6,4,7,2,1,8,3,5]=>1000111=>7
[6,5,3,4,1,2,8,7]=>0011101=>7
[6,8,5,4,1,3,2,7]=>0111001=>7
[6,4,3,7,1,5,2,8]=>0011110=>7
[9,8,7,6,5,2,3,1,4]=>01011111=>8
[9,8,7,6,3,4,2,1,5]=>10101111=>8
[9,8,7,4,5,3,2,1,6]=>11010111=>8
[9,8,5,6,4,3,2,1,7]=>11101011=>8
[9,6,7,5,4,3,2,1,8]=>11110101=>8
[7,4,2,6,1,5,3,8]=>0011110=>7
[7,4,2,5,6,1,3,8]=>0010110=>7
[6,4,2,8,1,5,7,3]=>0010111=>7
[6,3,7,8,2,5,1,4]=>0001101=>7
[7,3,5,6,4,2,1,8]=>1010110=>7
[7,4,3,1,5,6,2,8]=>0110110=>7
[7,4,5,2,6,1,3,8]=>0001110=>7
[5,3,7,2,8,6,4,1]=>0011111=>7
[5,3,8,2,6,7,4,1]=>0011011=>7
[6,3,8,2,5,4,7,1]=>0001111=>7
[6,4,8,2,1,5,7,3]=>1000111=>7
[6,4,3,1,8,2,7,5]=>0110111=>7
[5,3,7,8,2,6,4,1]=>0011101=>7
[4,7,8,5,6,3,2,1]=>1100101=>7
[5,3,7,6,8,2,4,1]=>0011011=>7
[5,7,8,4,6,2,1,3]=>1000101=>7
[5,8,4,3,6,7,1,2]=>0010011=>7
[5,8,6,4,7,2,1,3]=>1000111=>7
[5,3,8,6,2,7,4,1]=>0011111=>7
[4,7,5,8,6,3,2,1]=>1100111=>7
[4,8,6,7,5,3,2,1]=>1101011=>7
[6,3,8,7,2,4,1,5]=>0010111=>7
[5,3,8,7,2,6,4,1]=>0011111=>7
[5,3,8,6,7,2,4,1]=>0011011=>7
[5,3,7,8,6,2,4,1]=>0011101=>7
[5,7,6,4,8,2,1,3]=>1000111=>7
[5,8,4,6,7,2,1,3]=>1000011=>7
[6,4,2,8,1,7,3,5]=>0010111=>7
[6,5,2,4,3,7,8,1]=>0011101=>7
[5,4,6,2,8,7,1,3]=>0001111=>7
[5,6,3,8,7,2,4,1]=>0010111=>7
[6,7,4,3,1,8,2,5]=>0110011=>7
[5,7,4,3,6,8,1,2]=>0010011=>7
[5,7,3,8,6,2,4,1]=>0010111=>7
[4,5,8,6,7,3,2,1]=>1100011=>7
[4,6,8,5,7,3,2,1]=>1100011=>7
[5,6,8,3,7,2,4,1]=>0010011=>7
[5,4,6,8,2,7,1,3]=>0001011=>7
[3,6,7,8,2,5,1,4]=>0001001=>7
[5,7,8,2,6,4,1,3]=>0010101=>7
[3,6,8,5,7,1,4,2]=>0010011=>7
[1,7,4,8,6,2,3,5]=>0000111=>7
[3,6,2,5,7,8,1,4]=>0000101=>7
[5,2,7,4,6,8,1,3]=>0001011=>7
[7,2,4,5,8,6,1,3]=>0000111=>7
[5,3,6,7,1,8,4,2]=>0011011=>7
[4,2,5,6,7,1,8,3]=>0010011=>7
[8,2,3,7,5,1,6,4]=>0001111=>7
[7,2,6,3,5,1,8,4]=>0001111=>7
[8,1,3,6,7,2,4,5]=>0000011=>7
[8,1,4,2,5,6,3,7]=>0010101=>7
[8,1,4,2,7,5,3,6]=>0011011=>7
[6,1,3,8,2,7,4,5]=>0000111=>7
[3,6,2,4,1,7,8,5]=>0010101=>7
[6,2,7,3,1,5,8,4]=>0100111=>7
[6,3,4,1,8,5,7,2]=>0010111=>7
[7,3,4,1,5,8,6,2]=>0010111=>7
[1,7,5,2,8,6,3,4]=>0001111=>7
[3,7,4,1,8,5,6,2]=>0010111=>7
[5,6,3,1,7,8,4,2]=>0110101=>7
[3,6,4,8,1,5,7,2]=>0000111=>7
[1,5,8,4,2,6,3,7]=>0010101=>7
[3,5,7,4,1,6,8,2]=>0010011=>7
[3,5,7,1,2,6,4,8]=>0000110=>7
[4,5,1,8,2,3,7,6]=>0001011=>7
[4,7,1,8,2,6,3,5]=>0000111=>7
[6,3,1,8,5,2,4,7]=>0101101=>7
[3,5,2,1,8,4,6,7]=>1001001=>7
[7,5,1,2,3,8,6,4]=>0001111=>7
[6,4,1,2,7,3,8,5]=>0010111=>7
[5,2,6,1,3,4,8,7]=>0001101=>7
[7,8,4,5,1,3,2,6]=>0101001=>7
[6,7,1,3,2,5,4,8]=>0101010=>7
[6,7,1,4,3,5,2,8]=>0011010=>7
[7,8,2,3,1,5,4,6]=>0101001=>7
[7,8,2,4,3,5,1,6]=>0011001=>7
[7,8,2,4,1,5,3,6]=>0011001=>7
[1,4,2,6,5,7,3,8]=>0010110=>7
[5,6,1,4,2,7,3,8]=>0010110=>7
[6,7,2,4,1,5,3,8]=>0011010=>7
[6,7,2,4,3,5,1,8]=>0011010=>7
[6,7,2,3,1,5,4,8]=>0101010=>7
[6,7,3,5,4,8,1,2]=>0001011=>7
[2,4,1,6,5,7,3,8]=>0010110=>7
[1,5,2,6,4,7,3,8]=>0001110=>7
[2,5,1,6,4,7,3,8]=>0001110=>7
[3,6,5,7,4,8,1,2]=>0000111=>7
[5,6,2,4,3,7,1,8]=>0010110=>7
[4,5,2,6,1,7,3,8]=>0001110=>7
[4,5,1,6,3,7,2,8]=>0001110=>7
[4,5,3,6,1,7,2,8]=>0001110=>7
[5,6,3,4,1,7,2,8]=>0010110=>7
[5,6,1,4,3,7,2,8]=>0010110=>7
[5,6,1,3,2,7,4,8]=>0100110=>7
[5,6,4,7,1,3,2,8]=>0100110=>7
[6,7,4,5,1,3,2,8]=>0101010=>7
[6,7,5,8,1,3,2,4]=>0100011=>7
[4,5,1,3,2,7,6,8]=>0101010=>7
[4,6,5,7,1,3,2,8]=>0100110=>7
[4,6,1,3,2,7,5,8]=>0100110=>7
[1,4,3,6,2,7,5,8]=>0010110=>7
[3,4,1,6,5,7,2,8]=>0010110=>7
[4,5,2,3,1,7,6,8]=>0101010=>7
[4,5,3,7,6,8,1,2]=>0001011=>7
[4,6,5,7,3,8,1,2]=>0000111=>7
[4,6,5,7,2,3,1,8]=>0100110=>7
[3,5,4,6,1,7,2,8]=>0001110=>7
[3,5,1,6,4,7,2,8]=>0001110=>7
[1,5,3,6,4,7,2,8]=>0001110=>7
[1,5,3,6,2,7,4,8]=>0001110=>7
[3,5,2,6,1,7,4,8]=>0001110=>7
[3,5,2,6,4,7,1,8]=>0001110=>7
[3,4,2,6,1,7,5,8]=>0010110=>7
[4,6,2,3,1,7,5,8]=>0100110=>7
[2,4,3,6,1,7,5,8]=>0010110=>7
[2,5,3,6,4,7,1,8]=>0001110=>7
[2,5,3,6,1,7,4,8]=>0001110=>7
[4,6,2,7,3,5,8,1]=>0000111=>7
[3,6,2,7,5,4,8,1]=>0001111=>7
[4,6,1,7,3,8,2,5]=>0000111=>7
[2,4,7,1,3,8,6,5]=>0000111=>7
[5,2,6,7,4,3,8,1]=>0011011=>7
[3,5,2,7,6,4,8,1]=>0001111=>7
[1,5,7,4,3,8,2,6]=>0010011=>7
[2,5,7,3,1,8,6,4]=>0100111=>7
[1,5,7,2,8,3,6,4]=>0000111=>7
[2,5,7,3,1,8,4,6]=>0100011=>7
[1,5,7,3,4,8,2,6]=>0000011=>7
[5,2,6,7,1,8,4,3]=>0011011=>7
[1,3,7,2,8,5,6,4]=>0000111=>7
[2,3,1,5,8,4,7,6]=>0100011=>7
[2,1,5,6,8,4,3,7]=>1010001=>7
[2,3,1,5,8,6,4,7]=>0100101=>7
[2,4,7,3,1,8,5,6]=>0100011=>7
[1,3,7,2,8,5,4,6]=>0001011=>7
[2,3,1,6,8,5,4,7]=>0101001=>7
[4,6,2,7,1,8,3,5]=>0000111=>7
[1,5,4,3,6,8,2,7]=>0011001=>7
[1,6,4,5,7,8,3,2]=>0100101=>7
[2,5,1,7,8,6,3,4]=>0001101=>7
[1,3,6,2,8,7,4,5]=>0000111=>7
[2,1,5,6,8,4,7,3]=>1000011=>7
[2,4,1,7,8,5,6,3]=>0010101=>7
[1,3,6,2,8,4,7,5]=>0000111=>7
[2,1,5,6,8,7,3,4]=>1000011=>7
[3,6,5,2,7,8,4,1]=>0011101=>7
[6,2,4,7,5,8,3,1]=>0100111=>7
[1,5,7,8,4,2,6,3]=>0010101=>7
[3,7,4,1,8,6,2,5]=>0010111=>7
[3,4,6,8,5,7,2,1]=>1000011=>7
[4,2,5,7,3,1,8,6]=>0110011=>7
[4,5,6,2,8,7,3,1]=>0100111=>7
[2,5,6,8,1,7,4,3]=>0010011=>7
[4,5,6,1,8,7,3,2]=>0100111=>7
[4,5,6,3,1,8,7,2]=>0100111=>7
[4,3,6,2,1,7,5,8]=>1010110=>7
[4,6,3,2,1,7,5,8]=>1100110=>7
[4,6,3,1,7,5,2,8]=>0101110=>7
[4,5,3,7,6,1,8,2]=>0001111=>7
[4,5,1,7,3,8,6,2]=>0001111=>7
[2,5,7,1,4,3,8,6]=>0010011=>7
[4,3,5,7,6,1,8,2]=>0010111=>7
[4,3,6,1,7,5,2,8]=>0011110=>7
[4,3,2,6,1,7,5,8]=>0110110=>7
[5,3,2,1,6,4,7,8]=>1101100=>7
[5,3,1,6,2,7,4,8]=>0101110=>7
[5,1,6,3,2,7,4,8]=>0101110=>7
[2,6,1,4,7,5,3,8]=>0001110=>7
[3,6,1,7,4,2,5,8]=>0010110=>7
[4,6,1,7,5,3,2,8]=>0101110=>7
[5,1,6,3,7,4,2,8]=>0011110=>7
[5,3,6,4,2,1,7,8]=>1011100=>7
[5,3,2,6,4,1,7,8]=>0111100=>7
[5,2,1,6,3,7,4,8]=>1001110=>7
[5,2,6,3,1,7,4,8]=>0101110=>7
[4,2,6,3,1,7,8,5]=>0110101=>7
[3,6,2,1,7,4,5,8]=>1000110=>7
[3,6,2,7,4,1,5,8]=>0010110=>7
[3,5,7,2,8,6,4,1]=>0010111=>7
[2,4,7,1,3,6,5,8]=>0000110=>7
[2,6,1,3,7,5,4,8]=>0001110=>7
[3,6,1,7,5,2,4,8]=>0001110=>7
[5,1,6,2,7,4,3,8]=>0011110=>7
[5,2,6,4,3,1,7,8]=>0111100=>7
[5,2,1,6,4,3,7,8]=>1011100=>7
[5,4,2,1,6,3,7,8]=>1011100=>7
[5,4,2,6,3,1,7,8]=>0111100=>7
[5,4,1,6,2,7,3,8]=>0011110=>7
[5,1,6,4,2,7,3,8]=>0011110=>7
[3,6,1,7,5,4,8,2]=>0001111=>7
[2,6,1,5,4,3,7,8]=>0011100=>7
[3,1,6,2,5,4,7,8]=>0101100=>7
[5,1,6,4,3,2,7,8]=>0111100=>7
[5,4,1,6,3,2,7,8]=>0111100=>7
[5,4,3,1,6,2,7,8]=>0111100=>7
[8,2,1,7,6,5,4,3,9]=>10111110=>8
[7,3,1,6,5,4,8,2]=>0101111=>7
[7,2,8,1,5,4,3,6]=>0011011=>7
[4,2,7,6,5,8,1,3]=>0010111=>7
[3,8,2,6,5,4,1,7]=>0011101=>7
[3,2,8,7,6,5,4,1,9]=>01111110=>8
[9,2,1,8,7,6,5,4,3,10]=>101111110=>9
[8,3,1,7,6,5,4,9,2]=>01011111=>8
[8,2,9,1,6,5,4,3,7]=>00111011=>8
[7,3,2,1,5,4,6,8]=>1101010=>7
[7,2,8,6,1,4,3,5]=>0010111=>7
[5,2,7,6,8,4,1,3]=>0011011=>7
[4,2,8,7,6,5,9,1,3]=>00101111=>8
[3,8,7,2,5,4,1,6]=>0011011=>7
[3,9,2,7,6,5,4,1,8]=>00111101=>8
[3,2,9,8,7,6,5,4,1,10]=>011111110=>9
[9,3,1,8,7,6,5,4,10,2]=>010111111=>9
[9,2,10,1,7,6,5,4,3,8]=>001111011=>9
[8,4,1,7,6,5,9,3,2]=>01101111=>8
[8,3,2,1,6,5,4,7,9]=>11011010=>8
[8,2,9,7,1,5,4,3,6]=>00110111=>8
[7,5,1,6,8,4,3,2]=>0111011=>7
[7,4,2,1,5,6,3,8]=>1010110=>7
[7,2,8,6,5,1,3,4]=>0001111=>7
[5,3,2,6,7,4,1,8]=>0111010=>7
[5,2,8,7,6,9,4,1,3]=>00110111=>8
[4,3,7,2,5,6,1,8]=>0010110=>7
[4,3,2,7,6,5,8,1,9]=>01101110=>8
[4,2,9,8,7,6,5,10,1,3]=>001011111=>9
[3,9,8,2,6,5,4,1,7]=>00111011=>8
[3,10,2,8,7,6,5,4,1,9]=>001111101=>9
[6,7,1,4,3,2,5,8]=>0110010=>7
[3,4,2,6,7,1,5,8]=>0010010=>7
[3,7,1,6,5,2,4,8]=>0001110=>7
[3,5,6,2,4,7,1,8]=>0000110=>7
[3,5,8,7,2,4,6,1]=>0000111=>7
[1,7,8,2,5,4,3,6]=>0011001=>7
[8,7,2,5,4,3,6,1]=>0011111=>7
[2,5,6,4,7,1,3,8]=>0000110=>7
[4,7,1,6,3,5,2,8]=>0001110=>7
[4,5,3,8,7,2,6,1]=>0001111=>7
[1,4,5,3,7,8,2,6]=>0001001=>7
[1,4,8,2,7,6,3,5]=>0000111=>7
[4,7,3,5,1,8,6,2]=>0001111=>7
[8,7,3,6,1,5,4,2]=>0011111=>7
[2,5,8,7,4,6,1,3]=>0000111=>7
[5,4,2,1,7,8,3,6]=>1011001=>7
[4,7,8,3,5,2,1,6]=>1001001=>7
[4,7,6,2,1,8,3,5]=>1000111=>7
[1,4,6,7,3,5,8,2]=>0000011=>7
[8,3,6,2,1,7,5,4]=>1001111=>7
[8,3,7,6,4,2,1,5]=>1010111=>7
[2,3,1,8,4,7,6,5]=>0100111=>7
[2,7,4,8,6,5,1,3]=>0001111=>7
[8,6,5,1,4,7,3,2]=>0101111=>7
[8,5,4,1,7,3,6,2]=>0011111=>7
[6,3,7,2,8,5,4,1]=>0011111=>7
[1,6,3,8,2,7,5,4]=>0001111=>7
[1,7,5,3,8,2,6,4]=>0001111=>7
[6,2,7,4,1,8,5,3]=>0011111=>7
[8,6,3,2,7,5,1,4]=>0101111=>7
[2,7,5,1,3,8,6,4]=>0001111=>7
[1,7,6,4,3,8,2,5]=>0010111=>7
[3,7,2,4,8,6,5,1]=>0001111=>7
[3,4,2,8,7,6,1,5]=>0010111=>7
[5,1,4,3,2,7,8,6]=>0111001=>7
[3,7,8,5,2,4,1,6]=>0011001=>7
[3,7,6,2,4,1,8,5]=>0010111=>7
[1,6,8,2,5,7,4,3]=>0010011=>7
[6,7,2,5,8,4,3,1]=>0110011=>7
[5,2,7,8,4,3,1,6]=>0111001=>7
[5,3,1,7,8,4,2,6]=>0111001=>7
[2,7,6,4,1,3,8,5]=>0010111=>7
[4,1,7,6,3,2,8,5]=>0110111=>7
[8,4,2,7,6,3,1,5]=>0110111=>7
[6,3,1,7,5,2,8,4]=>0101111=>7
[6,2,7,5,3,1,8,4]=>0101111=>7
[1,5,8,2,7,4,6,3]=>0000111=>7
[5,7,2,8,4,6,3,1]=>0100111=>7
[5,7,3,1,8,4,6,2]=>0100111=>7
[8,4,7,3,1,6,5,2]=>0101111=>7
[2,6,8,5,7,4,1,3]=>0010011=>7
[6,5,2,1,7,4,8,3]=>1001111=>7
[5,7,4,6,2,1,8,3]=>1000111=>7
[5,6,4,8,3,7,2,1]=>1000111=>7
[6,7,1,8,3,4,2,5]=>0010011=>7
[7,8,3,5,1,4,2,6]=>0011001=>7
[5,6,2,7,1,8,3,4]=>0000111=>7
[6,7,2,4,3,8,1,5]=>0010011=>7
[2,4,3,8,6,7,1,5]=>0010011=>7
[1,8,2,7,4,5,3,6]=>0001011=>7
[2,5,4,8,3,6,1,7]=>0001101=>7
[2,3,1,8,5,6,4,7]=>0100101=>7
[3,8,5,6,4,7,1,2]=>0000111=>7
[5,7,3,6,4,8,1,2]=>0000111=>7
[5,7,2,3,1,6,4,8]=>0100110=>7
[5,7,2,4,3,6,1,8]=>0010110=>7
[4,6,2,7,1,5,3,8]=>0001110=>7
[4,7,1,6,2,5,3,8]=>0001110=>7
[4,7,1,5,3,6,2,8]=>0001110=>7
[4,6,3,5,1,7,2,8]=>0001110=>7
[6,7,3,5,1,4,2,8]=>0011010=>7
[5,6,3,7,1,4,2,8]=>0010110=>7
[5,7,1,6,3,4,2,8]=>0010110=>7
[1,8,5,6,3,4,2,7]=>0010101=>7
[1,8,5,6,4,7,2,3]=>0000111=>7
[5,7,1,6,4,8,2,3]=>0000111=>7
[4,6,5,8,1,7,2,3]=>0000111=>7
[3,7,1,4,2,8,5,6]=>0010011=>7
[3,5,1,4,2,8,6,7]=>0011001=>7
[4,6,5,8,3,7,1,2]=>0000111=>7
[4,6,5,8,2,3,1,7]=>0100101=>7
[3,4,2,6,5,8,1,7]=>0010101=>7
[3,5,4,6,2,8,1,7]=>0001101=>7
[1,8,3,5,4,7,2,6]=>0001011=>7
[3,4,2,7,1,8,5,6]=>0010011=>7
[4,7,2,3,1,8,5,6]=>0100011=>7
[2,4,3,8,1,7,5,6]=>0010011=>7
[2,5,3,8,4,7,1,6]=>0001011=>7
[2,6,3,8,1,7,4,5]=>0000111=>7
[2,7,1,8,3,6,4,5]=>0000111=>7
[1,2,8,7,4,6,3,5]=>0000111=>7
[3,7,4,8,6,1,5,2]=>0001111=>7
[4,5,1,8,7,6,2,3]=>0001111=>7
[1,5,2,8,7,6,3,4]=>0001111=>7
[5,1,2,8,7,6,3,4]=>0001111=>7
[4,1,5,8,7,6,2,3]=>0010111=>7
[2,3,6,8,7,4,5,1]=>0001011=>7
[2,3,7,8,6,4,5,1]=>0001101=>7
[4,5,7,8,2,6,3,1]=>0100101=>7
[4,5,6,8,2,7,3,1]=>0100011=>7
[5,2,6,8,3,7,4,1]=>0011011=>7
[3,1,6,8,7,4,5,2]=>0101011=>7
[6,1,4,8,7,2,5,3]=>0001111=>7
[6,1,8,4,7,3,5,2]=>0001111=>7
[5,8,3,4,7,1,6,2]=>0000111=>7
[6,8,3,5,7,1,4,2]=>0010011=>7
[3,1,7,8,6,4,5,2]=>0101101=>7
[5,2,7,8,3,6,4,1]=>0011101=>7
[4,6,7,8,2,5,3,1]=>0101001=>7
[7,4,5,2,8,6,3,1]=>0101111=>7
[7,5,8,4,2,6,3,1]=>0110111=>7
[6,8,4,5,2,7,3,1]=>0101011=>7
[6,8,2,5,3,7,4,1]=>0011011=>7
[6,3,8,4,2,7,5,1]=>0011111=>7
[7,2,5,3,8,6,4,1]=>0011111=>7
[3,4,7,5,8,6,2,1]=>1000111=>7
[3,6,7,4,8,5,2,1]=>1001011=>7
[6,7,4,2,8,5,3,1]=>0111011=>7
[4,7,5,2,8,6,3,1]=>0101111=>7
[2,7,5,3,8,6,4,1]=>0011111=>7
[5,6,2,8,3,7,4,1]=>0010111=>7
[5,7,8,3,2,6,4,1]=>0110101=>7
[5,6,8,3,2,7,4,1]=>0110011=>7
[3,6,8,4,2,7,5,1]=>0011011=>7
[1,5,8,2,7,3,6,4]=>0000111=>7
[5,8,4,7,2,3,6,1]=>0000111=>7
[5,6,8,1,3,7,4,2]=>0010011=>7
[6,7,4,8,1,5,3,2]=>0101011=>7
[5,7,2,8,3,6,4,1]=>0010111=>7
[1,7,4,8,6,2,5,3]=>0001111=>7
[7,4,2,8,6,1,5,3]=>0011111=>7
[6,8,5,3,7,2,4,1]=>0011011=>7
[6,8,5,2,3,7,4,1]=>0011011=>7
[7,5,3,8,2,6,4,1]=>0011111=>7
[7,5,2,3,8,6,4,1]=>0011111=>7
[3,7,4,5,8,6,2,1]=>1000111=>7
[6,7,3,4,8,5,2,1]=>1001011=>7
[3,6,4,7,8,5,2,1]=>1001101=>7
[6,4,2,7,8,5,3,1]=>0111101=>7
[7,4,2,5,8,6,3,1]=>0110111=>7
[6,1,8,3,4,7,5,2]=>0001111=>7
[6,8,4,2,5,7,3,1]=>0110011=>7
[7,5,8,3,4,6,2,1]=>1000111=>7
[7,4,5,8,1,6,3,2]=>0100111=>7
[6,3,4,7,8,5,2,1]=>1001101=>7
[7,8,2,3,4,5,6,9,1]=>00000011=>8
[6,1,7,3,4,5,8,2]=>0000111=>7
[5,7,2,3,4,1,8,6]=>0010011=>7
[2,7,1,8,4,5,6,3]=>0000111=>7
[2,6,8,3,4,5,1,7]=>0001001=>7
[2,8,9,3,4,5,6,7,1]=>00000101=>8
[8,9,2,3,4,5,6,7,10,1]=>000000011=>9
[7,1,8,3,4,5,6,9,2]=>00000111=>8
[6,8,2,3,4,5,1,9,7]=>00010011=>8
[6,1,2,7,4,5,8,3]=>0000111=>7
[4,7,2,3,1,5,8,6]=>0100011=>7
[2,7,1,3,8,5,6,4]=>0000111=>7
[2,6,7,8,4,5,3,1]=>0101001=>7
[2,8,1,9,4,5,6,7,3]=>00000111=>8
[2,5,8,3,4,1,6,7]=>0010001=>7
[2,7,9,3,4,5,6,1,8]=>00001001=>8
[2,9,10,3,4,5,6,7,8,1]=>000000101=>9
[9,10,2,3,4,5,6,7,8,11,1]=>0000000011=>10
[8,1,9,3,4,5,6,7,10,2]=>000000111=>9
[7,9,2,3,4,5,6,1,10,8]=>000010011=>9
[7,1,2,8,4,5,6,9,3]=>00000111=>8
[6,7,8,3,4,5,2,9,1]=>00010011=>8
[5,8,2,3,4,1,6,9,7]=>00100011=>8
[5,6,2,7,4,3,8,1]=>0010111=>7
[4,6,7,3,2,5,8,1]=>0100011=>7
[2,6,7,3,8,5,4,1]=>0011011=>7
[2,8,1,3,9,5,6,7,4]=>00000111=>8
[2,6,1,8,4,5,3,7]=>0001101=>7
[2,5,7,8,4,3,6,1]=>0010101=>7
[2,7,8,9,4,5,6,3,1]=>01001001=>8
[2,9,1,10,4,5,6,7,8,3]=>000000111=>9
[2,6,9,3,4,5,1,7,8]=>00010001=>4
[2,8,10,3,4,5,6,7,1,9]=>000001001=>9
[2,10,11,3,4,5,6,7,8,9,1]=>0000000101=>10
[3,6,8,4,5,7,1,2]=>0000011=>7
[1,6,8,4,7,2,3,5]=>0000011=>7
[1,4,5,7,8,2,6,3]=>0000101=>7
[3,4,5,7,8,6,1,2]=>0000101=>7
[3,4,5,7,6,8,1,2]=>0000011=>7
[3,6,7,4,8,5,1,2]=>0001011=>7
[3,4,5,6,8,7,1,2]=>0000011=>7
[1,4,5,8,7,2,3,6]=>0000011=>7
[1,2,5,8,3,6,4,7]=>0000101=>7
[1,4,5,8,6,2,3,7]=>0000101=>7
[7,8,1,4,6,2,3,5]=>0000101=>7
[1,6,7,4,8,2,5,3]=>0001011=>7
[1,4,5,6,8,2,7,3]=>0000011=>7
[1,4,5,8,6,2,7,3]=>0000111=>7
[1,2,5,8,3,4,7,6]=>0000011=>7
[1,6,7,2,3,5,8,4]=>0000011=>7
[7,8,1,2,3,5,4,6]=>0001001=>7
[1,6,7,2,3,5,4,8]=>0001010=>7
[1,4,5,7,6,2,3,8]=>0000110=>7
[1,2,5,7,3,6,4,8]=>0000110=>7
[1,2,5,7,3,6,8,4]=>0000011=>7
[1,6,8,2,3,5,7,4]=>0000011=>7
[1,6,8,4,5,2,3,7]=>0001001=>7
[1,6,8,4,5,2,7,3]=>0001011=>7
[1,6,8,2,3,4,7,5]=>0000011=>7
[1,6,8,2,3,7,4,5]=>0000011=>7
[1,4,5,7,6,2,8,3]=>0000111=>7
[7,8,1,4,5,2,6,3]=>0001101=>7
[7,8,1,2,3,4,6,5]=>0000101=>7
[7,8,1,2,3,6,4,5]=>0000101=>7
[1,6,7,2,3,8,5,4]=>0001011=>7
[1,2,5,6,3,8,7,4]=>0000111=>7
[4,2,1,6,5,3,8,7]=>1011101=>7
[8,2,4,3,1,6,5,7]=>0110101=>7
[6,2,4,3,1,8,7,5]=>0110111=>7
[4,2,6,3,5,1,8,7]=>0011101=>7
[4,6,2,1,5,8,7,3]=>1000111=>7
[4,6,5,2,1,8,7,3]=>1001111=>7
[2,1,6,4,3,8,7,5]=>1010111=>7
[4,8,2,1,6,7,3,5]=>1000011=>7
[6,8,2,1,4,3,7,5]=>1010011=>7
[8,6,2,4,3,1,5,7]=>0110101=>7
[6,8,2,4,3,1,7,5]=>0110011=>7
[6,8,7,2,4,3,1,5]=>0110011=>7
[2,1,8,4,6,5,3,7]=>1001101=>7
[2,1,6,4,8,5,7,3]=>1000111=>7
[4,6,5,2,8,3,7,1]=>0001111=>7
[2,6,4,5,8,3,7,1]=>0000111=>7
[6,4,2,8,3,5,7,1]=>0010111=>7
[8,4,2,6,3,5,1,7]=>0011101=>7
[6,2,4,8,5,3,7,1]=>0001111=>7
[4,2,6,3,5,8,7,1]=>0010111=>7
[4,2,6,3,8,7,5,1]=>0011111=>7
[6,2,4,3,8,5,7,1]=>0010111=>7
[8,2,4,3,6,5,1,7]=>0011101=>7
[8,2,1,4,6,5,3,7]=>1001101=>7
[6,2,1,4,8,5,7,3]=>1000111=>7
[6,2,1,8,7,4,3,5]=>1010111=>7
[6,2,1,8,4,3,7,5]=>1010111=>7
[8,4,6,5,2,1,3,7]=>1001101=>7
[6,4,8,5,2,1,7,3]=>1001111=>7
[6,4,8,5,7,2,1,3]=>1000111=>7
[4,6,8,7,5,2,1,3]=>1001011=>7
[2,1,4,8,6,7,3,5]=>1000011=>7
[2,6,8,7,4,5,1,3]=>0001011=>7
[2,4,8,6,7,5,1,3]=>0001011=>7
[4,2,8,6,5,7,1,3]=>0010111=>7
[8,2,6,4,5,1,3,7]=>0001101=>7
[8,4,6,2,1,5,3,7]=>1001101=>7
[4,6,8,7,2,1,5,3]=>1001011=>7
[4,6,5,8,2,1,7,3]=>1000111=>7
[2,1,6,8,4,3,7,5]=>1010011=>7
[6,8,7,4,2,1,3,5]=>1010011=>7
[2,8,6,4,7,1,3,5]=>0000111=>7
[4,8,6,2,1,7,3,5]=>1000111=>7
[2,8,5,3,1,4,6,7]=>0101001=>7
[2,7,4,8,3,5,1,6]=>0001011=>7
[2,7,4,8,3,5,6,1]=>0000111=>7
[7,2,8,4,3,5,1,6]=>0011011=>7
[8,4,2,1,5,3,6,7]=>1011001=>7
[8,5,1,4,2,3,6,7]=>0011001=>7
[8,4,1,5,3,2,6,7]=>0111001=>7
[6,7,3,8,4,2,5,1]=>0011011=>7
[6,7,3,8,4,2,1,5]=>1010011=>7
[7,1,8,4,3,5,2,6]=>0011011=>7
[1,7,8,4,3,5,2,6]=>0011001=>7
[7,1,4,8,3,5,2,6]=>0001011=>7
[7,4,8,1,5,6,2,3]=>0000111=>7
[7,1,8,4,3,5,6,2]=>0010111=>7
[6,7,3,1,8,4,5,2]=>0101011=>7
[6,7,3,8,4,5,2,1]=>1001011=>7
[6,7,1,4,8,3,5,2]=>0001011=>7
[6,7,4,1,3,8,2,5]=>0010011=>7
[1,6,7,8,4,3,2,5]=>0110001=>7
[7,2,1,8,4,5,3,6]=>1001011=>7
[6,2,7,1,8,4,3,5]=>0010111=>7
[6,2,7,8,4,3,1,5]=>0110101=>7
[6,2,7,8,4,3,5,1]=>0011101=>7
[2,6,7,4,8,3,5,1]=>0001011=>7
[2,6,7,4,8,3,1,5]=>0100011=>7
[7,8,1,3,6,2,4,5]=>0000101=>7
[1,2,7,8,6,3,4,5]=>0000101=>7
[2,6,7,1,8,5,3,4]=>0001011=>7
[2,6,7,8,5,3,1,4]=>0101001=>7
[2,6,7,8,5,3,4,1]=>0011001=>7
[6,2,7,8,4,5,3,1]=>0101101=>7
[7,2,1,8,4,5,6,3]=>1000111=>7
[1,7,2,8,4,5,6,3]=>0000111=>7
[3,7,8,1,5,6,2,4]=>0000101=>7
[6,3,7,8,1,5,2,4]=>0001101=>7
[6,7,1,2,8,5,3,4]=>0001011=>7
[1,6,7,8,4,2,5,3]=>0011001=>7
[3,1,2,7,6,5,8,4]=>0100111=>7
[6,1,2,4,7,3,8,5]=>0000111=>7
[1,7,5,3,6,4,8,2]=>0001111=>7
[5,1,2,6,7,4,8,3]=>0001011=>7
[4,1,5,7,3,2,6,8]=>0110010=>7
[4,6,1,7,3,2,5,8]=>0100110=>7
[4,6,1,8,3,2,5,7]=>0100101=>7
[4,7,1,8,3,5,2,6]=>0001011=>7
[4,1,7,8,6,2,3,5]=>0010101=>7
[1,6,5,7,8,3,4,2]=>0010101=>7
[1,6,5,8,7,3,4,2]=>0010111=>7
[4,1,8,7,6,2,3,5]=>0010111=>7
[4,8,1,7,3,5,2,6]=>0001011=>7
[4,8,1,6,3,2,5,7]=>0100101=>7
[4,7,1,6,3,2,5,8]=>0100110=>7
[6,1,2,3,7,5,4,8]=>0001110=>7
[6,8,1,5,3,7,2,4]=>0001011=>7
[8,7,5,2,4,1,6,3]=>0011111=>7
[1,5,7,3,4,8,6,2]=>0000111=>7
[1,5,8,3,4,7,6,2]=>0000111=>7
[7,8,5,2,4,1,6,3]=>0011101=>7
[7,1,2,3,5,6,4,8]=>0000110=>7
[8,1,2,3,5,6,4,7]=>0000101=>7
[8,1,2,3,5,4,7,6]=>0001011=>7
[7,1,8,4,6,3,2,5]=>0100111=>7
[6,8,2,4,3,1,5,7]=>0110001=>7
[6,7,2,4,3,1,5,8]=>0110010=>7
[3,8,1,2,4,5,7,6]=>0000011=>7
[3,7,1,8,6,4,2,5]=>0010111=>7
[1,6,4,3,7,5,8,2]=>0010111=>7
[3,1,2,6,7,5,8,4]=>0100011=>7
[3,8,1,7,6,4,2,5]=>0010111=>7
[7,6,2,4,3,1,5,8]=>0110110=>7
[8,7,2,4,3,5,1,6]=>0011011=>7
[8,1,7,4,6,3,2,5]=>0100111=>7
[8,1,7,6,5,3,2,4]=>0101111=>7
[1,5,7,3,4,6,8,2]=>0000011=>7
[8,7,2,5,3,6,1,4]=>0001111=>7
[7,1,2,3,5,4,8,6]=>0001011=>7
[6,1,2,3,5,8,4,7]=>0000101=>7
[6,1,2,3,5,7,4,8]=>0000110=>7
[5,1,2,3,7,6,4,8]=>0001110=>7
[5,1,2,3,8,6,4,7]=>0001101=>7
[1,5,6,3,4,7,8,2]=>0000101=>7
[8,6,5,2,4,7,1,3]=>0001111=>7
[7,6,2,5,3,1,8,4]=>0101111=>7
[7,4,5,2,3,8,6,1]=>0001111=>7
[8,2,3,7,4,5,1,6]=>0001011=>7
[8,4,7,3,2,5,1,6]=>0101011=>7
[5,4,6,3,1,2,8,7]=>0101101=>7
[4,6,2,3,1,5,8,7]=>0100101=>7
[7,2,3,4,5,8,6,1]=>0000111=>7
[8,2,3,4,5,7,1,6]=>0000011=>7
[7,3,4,6,8,5,1,2]=>0001011=>7
[4,7,3,2,8,6,1,5]=>0100111=>7
[3,7,4,5,1,8,6,2]=>0001111=>7
[3,8,2,6,7,4,5,1]=>0001011=>7
[4,8,1,5,6,7,3,2]=>0100011=>7
[5,8,2,4,6,7,1,3]=>0000011=>7
[6,8,1,3,4,2,7,5]=>0010011=>7
[5,8,2,4,3,1,7,6]=>0110011=>7
[2,1,7,6,8,5,3,4]=>1001011=>7
[3,7,6,1,8,5,2,4]=>0001111=>7
[4,7,2,3,8,5,1,6]=>0001011=>7
[7,1,3,6,4,8,5,2]=>0001111=>7
[7,6,1,4,8,5,2,3]=>0001111=>7
[6,2,3,7,8,5,4,1]=>0011101=>7
[6,2,3,8,4,5,1,7]=>0001101=>7
[7,2,3,6,8,4,1,5]=>0010011=>7
[8,2,3,5,7,1,4,6]=>0000011=>7
[6,4,8,3,5,1,7,2]=>0001111=>7
[5,4,8,3,6,7,1,2]=>0001011=>7
[3,5,1,8,4,6,7,2]=>0001011=>7
[3,6,1,8,4,5,2,7]=>0001101=>7
[4,6,8,3,5,2,7,1]=>0001011=>7
[5,7,8,3,2,4,1,6]=>0110001=>7
[4,8,2,3,5,6,1,7]=>0000101=>7
[6,8,2,3,1,4,5,7]=>0100001=>7
[5,2,7,4,8,3,1,6]=>0101011=>7
[3,7,8,2,1,4,6,5]=>1000101=>7
[3,7,5,2,8,4,1,6]=>0011011=>7
[6,3,2,4,1,8,7,5]=>0110111=>7
[7,2,3,4,8,5,1,6]=>0001011=>7
[5,7,3,1,4,2,6,8]=>0110010=>7
[3,7,4,1,8,2,5,6]=>0010011=>7
[6,3,7,4,8,1,2,5]=>0000111=>7
[8,3,7,4,2,6,1,5]=>0010111=>7
[3,7,4,1,5,6,2,8]=>0010110=>7
[1,8,3,2,4,5,7,6]=>0100011=>7
[8,4,1,6,3,7,5,2]=>0011111=>7
[8,7,4,2,1,6,3,5]=>1010111=>7
[8,3,5,2,7,4,1,6]=>0011011=>7
[1,5,3,8,7,6,4,2]=>0011111=>7
[7,2,4,8,1,3,6,5]=>0000111=>7
[1,2,8,7,5,6,3,4]=>0000111=>7
[3,1,8,6,7,5,2,4]=>0101011=>7
[1,4,8,6,5,7,2,3]=>0000111=>7
[1,6,5,4,8,2,3,7]=>0001101=>7
[5,1,6,8,3,4,2,7]=>0011001=>7
[6,2,5,1,7,4,3,8]=>0011110=>7
[5,2,1,8,7,4,3,6]=>1011011=>7
[5,2,6,3,8,1,4,7]=>0001101=>7
[5,2,8,3,4,6,1,7]=>0001101=>7
[6,2,8,4,3,1,7,5]=>0110111=>7
[7,2,8,1,3,6,5,4]=>0001111=>7
[7,3,8,1,4,6,2,5]=>0000111=>7
[1,7,8,5,4,6,3,2]=>0101101=>7
[1,5,8,4,6,3,7,2]=>0000111=>7
[5,3,8,4,1,2,7,6]=>0011011=>7
[5,8,4,3,6,2,1,7]=>1010101=>7
[1,8,3,6,5,2,7,4]=>0001111=>7
[1,8,2,4,7,6,5,3]=>0001111=>7
[3,8,1,4,6,7,5,2]=>0001011=>7
[3,8,2,5,1,7,6,4]=>0001111=>7
[4,3,8,2,5,1,6,7]=>0011001=>7
[8,2,4,3,5,1,7,6]=>0011011=>7
[8,2,1,4,6,5,7,3]=>1000111=>7
[8,1,3,4,5,7,6,2]=>0000111=>7
[6,1,5,2,4,7,8,3]=>0001101=>7
[4,1,8,5,2,7,6,3]=>0011111=>7
[4,8,5,1,3,6,2,7]=>0001101=>7
[3,6,1,5,7,2,8,4]=>0000111=>7
[6,3,1,2,8,5,7,4]=>0100111=>7
[4,1,8,2,3,7,5,6]=>0010011=>7
[5,3,8,7,2,1,4,6]=>1001011=>7
[6,7,3,5,1,4,8,2]=>0001011=>7
[6,4,7,5,8,2,3,1]=>0100111=>7
[5,7,8,4,2,6,3,1]=>0110101=>7
[5,4,7,6,2,8,3,1]=>0101111=>7
[5,7,4,1,6,8,3,2]=>0110011=>7
[6,8,4,5,7,1,3,2]=>0100011=>7
[5,8,4,6,1,7,3,2]=>0100111=>7
[5,6,1,4,7,8,3,2]=>0100101=>7
[5,6,7,2,4,8,3,1]=>0100011=>7
[5,6,3,7,4,8,2,1]=>1000111=>7
[5,3,6,7,4,8,2,1]=>1001011=>7
[5,3,2,8,6,7,4,1]=>0111011=>7
[5,4,8,2,6,7,3,1]=>0101011=>7
[5,4,8,6,2,7,3,1]=>0101111=>7
[6,4,8,5,7,2,3,1]=>0100111=>7
[7,4,8,5,6,2,1,3]=>1000111=>7
[4,6,8,5,7,2,3,1]=>0100011=>7
[5,6,8,2,4,7,3,1]=>0100011=>7
[5,6,3,8,4,7,2,1]=>1000111=>7
[4,6,3,5,8,7,2,1]=>1000111=>7
[4,6,3,2,8,7,5,1]=>0101111=>7
[5,6,3,8,2,7,4,1]=>0010111=>7
[3,6,5,8,7,2,4,1]=>0010111=>7
[5,3,6,8,2,7,4,1]=>0011011=>7
[4,3,7,2,8,6,5,1]=>0011111=>7
[5,4,7,2,6,8,3,1]=>0101011=>7
[5,3,2,7,6,8,4,1]=>0111011=>7
[6,7,3,8,5,2,4,1]=>0011011=>7
[6,3,2,7,5,4,8,1]=>0101111=>7
[6,4,7,2,5,3,8,1]=>0001111=>7
[6,2,7,5,1,4,8,3]=>0001111=>7
[2,7,8,5,3,6,1,4]=>0001101=>7
[6,3,7,8,4,2,5,1]=>0011101=>7
[3,5,7,8,4,6,2,1]=>1000101=>7
[5,3,7,8,4,6,2,1]=>1001101=>7
[5,7,8,2,4,6,3,1]=>0100101=>7
[2,5,8,4,3,7,6,1]=>0010111=>7
[2,6,8,4,7,3,5,1]=>0001011=>7
[3,7,4,8,6,2,1,5]=>1000111=>7
[3,6,4,8,7,2,5,1]=>0001111=>7
[3,5,4,8,2,7,6,1]=>0001111=>7
[4,3,7,5,8,6,2,1]=>1010111=>7
[4,5,7,3,8,6,2,1]=>1000111=>7
[3,5,6,8,4,7,2,1]=>1000011=>7
[6,3,1,8,7,5,4,2]=>0111111=>7
[5,4,8,1,7,6,3,2]=>0101111=>7
[5,8,4,1,7,6,3,2]=>0110111=>7
[7,5,4,1,8,6,3,2]=>0111111=>7
[8,5,4,1,7,6,3,2]=>0111111=>7
[1,8,2,5,6,3,4,7]=>0000101=>7
[7,2,8,4,5,1,3,6]=>0001011=>7
[1,3,7,5,6,2,4,8]=>0000110=>7
[1,6,7,4,3,5,2,8]=>0011010=>7
[1,8,5,2,3,7,4,6]=>0001011=>7
[1,8,2,5,3,6,7,4]=>0001011=>7
[2,6,8,4,3,5,7,1]=>0010011=>7
[7,5,8,3,2,1,6,4]=>1100111=>7
[7,2,8,4,1,5,6,3]=>0010111=>7
[7,5,8,1,2,6,3,4]=>0000111=>7
[1,6,7,4,3,2,8,5]=>0110011=>7
[1,5,2,6,4,7,8,3]=>0001101=>7
[1,5,4,6,2,3,7,8]=>0001100=>7
[6,2,5,7,1,4,8,3]=>0000111=>7
[6,5,4,3,8,1,7,2]=>0011111=>7
[7,3,6,8,5,2,4,1]=>0011011=>7
[2,7,8,3,6,5,1,4]=>0001101=>7
[2,7,8,5,4,6,3,1]=>0101101=>7
[2,6,5,8,3,4,1,7]=>0010101=>7
[2,6,5,7,3,4,1,8]=>0010110=>7
[6,2,5,7,4,1,3,8]=>0010110=>7
[6,2,5,8,4,1,3,7]=>0010101=>7
[2,7,8,4,6,1,3,5]=>0000101=>7
[6,1,2,8,3,7,4,5]=>0000111=>7
[6,1,2,8,5,4,7,3]=>0001111=>7
[6,2,5,7,8,1,3,4]=>0000101=>7
[1,5,4,2,6,7,3,8]=>0011010=>7
[2,6,5,7,3,8,1,4]=>0000111=>7
[1,6,2,7,5,8,4,3]=>0010111=>7
[1,3,2,7,8,5,6,4]=>0100101=>7
[1,6,2,4,8,7,3,5]=>0000111=>7
[6,5,2,1,8,7,3,4]=>1001111=>7
[2,6,5,3,7,8,4,1]=>0011101=>7
[6,2,5,3,8,4,7,1]=>0001111=>7
[6,5,2,3,8,7,1,4]=>0001111=>7
[5,4,1,2,3,8,6,7]=>0011001=>7
[5,1,4,2,3,7,8,6]=>0011001=>7
[1,5,4,2,6,3,8,7]=>0011101=>7
[5,1,6,3,8,2,7,4]=>0001111=>7
[9,8,7,6,5,4,3,1,2,10]=>011111110=>9
[8,7,6,5,4,2,1,3,9]=>10111110=>8
[1,9,8,7,6,5,3,2,4]=>01011111=>8
[1,8,7,6,2,5,4,3]=>0011111=>7
[1,9,8,7,6,5,2,4,3]=>00111111=>8
[1,10,9,8,7,6,5,4,2,3]=>001111111=>9
[2,1,9,8,7,6,5,4,3]=>10111111=>8
[1,2,9,8,7,6,5,4,3]=>00111111=>8
[3,2,1,9,8,7,6,5,4]=>11011111=>8
[1,3,2,9,8,7,6,5,4]=>01011111=>8
[1,2,3,9,8,7,6,5,4]=>00011111=>8
[4,3,2,1,9,8,7,6,5]=>11101111=>8
[1,4,3,2,9,8,7,6,5]=>01101111=>8
[2,1,4,3,9,8,7,6,5]=>10101111=>8
[1,2,4,3,9,8,7,6,5]=>00101111=>8
[1,2,3,4,9,8,7,6,5]=>00001111=>8
[1,5,4,3,2,9,8,7,6]=>01110111=>4
[2,1,5,4,3,9,8,7,6]=>10110111=>8
[1,2,5,4,3,9,8,7,6]=>00110111=>8
[1,3,2,5,4,9,8,7,6]=>01010111=>8
[1,2,3,5,4,9,8,7,6]=>00010111=>8
[1,2,3,4,5,9,8,7,6]=>00000111=>8
[1,3,2,6,5,4,9,8,7]=>01011011=>8
[1,2,3,6,5,4,9,8,7]=>00011011=>8
[2,1,4,3,6,5,9,8,7]=>10101011=>8
[1,2,4,3,6,5,9,8,7]=>00101011=>8
[1,2,3,4,6,5,9,8,7]=>00001011=>8
[1,2,3,5,4,7,6,9,8]=>00010101=>8
[1,2,3,4,5,7,6,9,8]=>00000101=>8
[1,2,10,9,8,7,6,5,4,3]=>001111111=>9
[3,2,1,10,9,8,7,6,5,4]=>110111111=>9
[1,3,2,10,9,8,7,6,5,4]=>010111111=>9
[1,2,3,10,9,8,7,6,5,4]=>000111111=>9
[1,4,3,2,10,9,8,7,6,5]=>011011111=>9
[1,2,4,3,10,9,8,7,6,5]=>001011111=>9
[1,2,3,4,10,9,8,7,6,5]=>000011111=>9
[1,5,4,3,2,10,9,8,7,6]=>011101111=>9
[2,1,5,4,3,10,9,8,7,6]=>101101111=>9
[1,2,5,4,3,10,9,8,7,6]=>001101111=>9
[1,3,2,5,4,10,9,8,7,6]=>010101111=>9
[1,2,3,5,4,10,9,8,7,6]=>000101111=>9
[1,2,6,5,4,3,10,9,8,7]=>001110111=>9
[3,2,1,6,5,4,10,9,8,7]=>110110111=>9
[1,3,2,6,5,4,10,9,8,7]=>010110111=>9
[1,2,3,6,5,4,10,9,8,7]=>000110111=>9
[1,2,4,3,6,5,10,9,8,7]=>001010111=>9
[1,2,3,4,6,5,10,9,8,7]=>000010111=>9
[1,2,3,4,5,6,10,9,8,7]=>000000111=>9
[1,4,3,2,7,6,5,10,9,8]=>011011011=>3
[2,1,4,3,7,6,5,10,9,8]=>101011011=>9
[1,2,4,3,7,6,5,10,9,8]=>001011011=>9
[1,2,3,4,7,6,5,10,9,8]=>000011011=>9
[1,3,2,5,4,7,6,10,9,8]=>010101011=>9
[1,2,3,5,4,7,6,10,9,8]=>000101011=>9
[1,2,3,4,5,7,6,10,9,8]=>000001011=>9
[1,2,3,4,5,6,7,10,9,8]=>000000011=>9
[1,2,4,3,6,5,8,7,10,9]=>001010101=>9
[1,2,3,4,6,5,8,7,10,9]=>000010101=>9
[1,2,3,4,5,6,8,7,10,9]=>000000101=>9
[5,2,7,4,1,6,3,8]=>0011110=>7
[4,7,3,1,5,6,2,8]=>0100110=>7
[5,8,3,4,1,6,7,2]=>0010011=>7
[1,7,8,4,5,6,2,3]=>0000101=>7
[1,5,8,4,2,6,7,3]=>0010011=>7
[1,6,3,8,5,2,7,4]=>0001111=>7
[5,2,3,7,1,6,4,8]=>0001110=>7
[6,2,3,7,5,1,4,8]=>0001110=>7
[1,7,3,4,8,6,2,5]=>0000111=>7
[6,2,3,4,8,1,7,5]=>0000111=>7
[8,7,3,2,1,6,5,4]=>1101111=>7
[8,7,6,3,1,5,2,4]=>0101111=>7
[8,5,1,7,2,3,4,6]=>0001011=>7
[9,8,7,6,5,2,1,4,3]=>10111111=>8
[9,8,7,3,2,1,6,5,4]=>11011111=>8
[9,8,7,6,3,1,5,2,4]=>01011111=>8
[9,4,3,2,1,8,7,6,5]=>11101111=>8
[9,8,4,3,1,7,6,2,5]=>01101111=>8
[9,8,7,2,1,4,3,6,5]=>10101111=>8
[9,8,7,4,1,6,2,3,5]=>00101111=>8
[5,4,3,1,9,8,7,2,6]=>01110111=>4
[9,5,2,1,8,4,3,7,6]=>10110111=>8
[9,8,3,1,5,2,7,4,6]=>01010111=>8
[6,3,1,9,5,2,8,4,7]=>01011011=>8
[6,5,1,9,8,2,3,4,7]=>00011011=>8
[9,2,1,4,3,6,5,8,7]=>10101011=>8
[9,6,1,8,2,3,4,5,7]=>00001011=>8
[5,1,7,2,9,3,4,6,8]=>00010101=>8
[7,1,9,2,3,4,5,6,8]=>00000101=>8
[10,9,8,7,6,5,2,1,4,3]=>101111111=>9
[10,9,8,7,3,2,1,6,5,4]=>110111111=>9
[10,9,8,7,6,3,1,5,2,4]=>010111111=>9
[10,9,4,3,2,1,8,7,6,5]=>111011111=>9
[10,9,8,4,3,1,7,6,2,5]=>011011111=>9
[10,9,8,7,2,1,4,3,6,5]=>101011111=>9
[10,9,8,7,4,1,6,2,3,5]=>001011111=>9
[10,5,4,3,1,9,8,7,2,6]=>011101111=>9
[10,9,5,2,1,8,4,3,7,6]=>101101111=>9
[10,9,5,4,1,8,7,2,3,6]=>001101111=>9
[10,9,8,3,1,5,2,7,4,6]=>010101111=>9
[6,5,2,1,10,9,4,3,8,7]=>101110111=>9
[6,5,4,1,10,9,8,2,3,7]=>001110111=>9
[10,3,2,1,6,5,4,9,8,7]=>110110111=>9
[10,6,5,1,9,8,2,3,4,7]=>000110111=>9
[10,9,2,1,4,3,6,5,8,7]=>101010111=>9
[10,9,6,1,8,2,3,4,5,7]=>000010111=>9
[4,3,1,7,6,2,10,9,5,8]=>011011011=>3
[7,2,1,10,4,3,6,5,9,8]=>101011011=>9
[7,4,1,10,6,2,9,3,5,8]=>001011011=>9
[7,6,1,10,9,2,3,4,5,8]=>000011011=>9
[10,5,1,7,2,9,3,4,6,8]=>000101011=>9
[10,7,1,9,2,3,4,5,6,8]=>000001011=>9
[4,1,6,2,8,3,10,5,7,9]=>001010101=>9
[6,1,8,2,10,3,4,5,7,9]=>000010101=>9
[8,1,10,2,3,4,5,6,7,9]=>000000101=>9
[2,4,8,5,3,7,1,6]=>0001011=>7
[2,4,1,8,5,3,7,6]=>0011011=>7
[2,4,8,6,3,1,7,5]=>0100111=>7
[3,4,6,8,2,1,7,5]=>1000011=>7
[3,4,1,5,8,2,7,6]=>0010011=>7
[8,1,4,5,3,2,7,6]=>0101011=>7
[3,4,1,5,2,8,7,6]=>0011011=>7
[3,4,6,2,1,8,7,5]=>1000111=>7
[3,5,6,2,1,7,8,4]=>1000101=>7
[3,4,6,2,7,8,1,5]=>0000101=>7
[8,1,4,6,3,7,2,5]=>0000111=>7
[8,1,4,6,3,7,5,2]=>0001111=>7
[3,5,6,2,1,7,4,8]=>1000110=>7
[8,1,5,6,7,3,4,2]=>0010011=>7
[8,1,5,6,7,3,2,4]=>0100011=>7
[3,4,1,6,8,7,2,5]=>0010011=>7
[3,5,6,1,8,7,2,4]=>0000111=>7
[2,1,3,8,6,7,4,5]=>1000011=>7
[8,1,3,2,6,7,5,4]=>0101011=>7
[2,3,8,6,7,1,5,4]=>0001011=>7
[2,4,1,8,6,7,5,3]=>0011011=>7
[2,5,8,6,1,7,4,3]=>0010111=>7
[3,5,6,1,8,7,4,2]=>0010111=>7
[3,4,1,6,8,7,5,2]=>0011011=>7
[3,4,6,8,7,1,5,2]=>0001011=>7
[8,1,4,6,2,7,5,3]=>0001111=>7
[3,5,1,6,7,8,4,2]=>0011001=>7
[4,5,6,1,7,8,3,2]=>0100101=>7
[4,5,6,1,7,3,8,2]=>0000111=>7
[3,5,1,6,7,4,8,2]=>0001011=>7
[8,1,5,6,7,4,2,3]=>0010011=>7
[8,1,5,6,7,4,3,2]=>0110011=>7
[3,5,1,6,7,4,2,8]=>0011010=>7
[4,5,6,1,7,3,2,8]=>0100110=>7
[6,5,8,7,4,3,1,2]=>0110111=>7
[6,4,2,7,8,5,1,3]=>0011101=>7
[6,1,4,8,7,5,2,3]=>0001111=>7
[1,6,4,8,7,5,2,3]=>0001111=>7
[1,8,6,2,4,7,3,5]=>0000111=>7
[8,1,6,2,4,7,3,5]=>0000111=>7
[7,6,2,1,4,8,3,5]=>1000111=>7
[6,4,1,7,8,5,2,3]=>0011101=>7
[7,6,1,2,4,8,3,5]=>0000111=>7
[7,6,1,3,4,8,2,5]=>0000111=>7
[8,1,6,3,4,7,2,5]=>0000111=>7
[1,8,6,3,4,7,2,5]=>0000111=>7
[1,7,2,5,4,8,3,6]=>0001011=>7
[7,1,2,5,4,8,3,6]=>0001011=>7
[2,7,1,5,4,8,3,6]=>0001011=>7
[2,8,6,3,4,7,1,5]=>0000111=>7
[2,8,6,1,4,7,3,5]=>0000111=>7
[7,2,1,5,4,8,3,6]=>1001011=>7
[1,2,7,5,4,8,3,6]=>0001011=>7
[3,2,7,5,4,8,1,6]=>0101011=>7
[2,5,8,4,7,3,1,6]=>0100011=>7
[2,3,7,5,4,8,1,6]=>0001011=>7
[6,8,3,2,4,7,1,5]=>0100011=>7
[3,7,2,5,4,8,1,6]=>0001011=>7
[3,1,7,5,4,8,2,6]=>0101011=>7
[1,3,7,5,4,8,2,6]=>0001011=>7
[1,5,8,4,7,3,2,6]=>0100011=>7
[5,1,8,4,7,3,2,6]=>0101011=>7
[5,8,2,4,7,3,1,6]=>0100011=>7
[6,8,4,3,7,5,1,2]=>0011011=>7
[8,7,5,6,2,1,4,3]=>1010111=>7
[8,5,2,4,7,3,1,6]=>0101011=>7
[8,1,5,4,7,3,2,6]=>0101011=>7
[1,8,5,4,7,3,2,6]=>0101011=>7
[1,7,3,5,4,8,2,6]=>0001011=>7
[8,6,3,1,4,7,2,5]=>0100111=>7
[8,6,4,2,7,5,1,3]=>0011111=>7
[8,6,4,1,7,2,5,3]=>0011111=>7
[5,3,7,4,6,8,2,1]=>1001011=>7
[4,1,3,2,7,8,5,6]=>0110001=>7
[1,4,3,2,7,8,5,6]=>0110001=>7
[2,4,3,1,7,8,5,6]=>0110001=>7
[2,7,3,5,4,8,1,6]=>0001011=>7
[2,8,5,4,7,3,1,6]=>0101011=>7
[5,7,3,4,6,8,2,1]=>1000011=>7
[8,2,5,4,7,3,1,6]=>0101011=>7
[7,2,3,5,4,8,1,6]=>0001011=>7
[3,2,1,4,7,8,5,6]=>1100001=>7
[8,1,7,6,4,3,5,2]=>0011111=>7
[8,6,4,5,2,7,1,3]=>0001111=>7
[7,1,8,6,4,3,5,2]=>0011111=>7
[7,4,2,5,1,6,3,8]=>0011110=>7
[7,3,6,5,2,1,4,8]=>1001110=>7
[8,3,6,5,2,1,7,4]=>1001111=>7
[7,3,6,5,2,1,8,4]=>1001111=>7
[7,5,8,6,4,2,1,3]=>1010111=>7
[5,4,2,8,1,3,7,6]=>0011011=>7
[5,8,2,6,4,1,3,7]=>0010101=>7
[6,4,2,5,1,8,3,7]=>0011101=>7
[6,3,5,2,1,4,7,8]=>1001100=>7
[2,5,8,6,3,1,4,7]=>0100101=>7
[2,3,5,8,1,4,7,6]=>0000011=>7
[2,3,6,8,1,5,7,4]=>0000011=>7
[6,3,8,5,2,7,1,4]=>0001111=>7
[6,3,7,5,2,1,4,8]=>1001110=>7
[2,5,7,6,3,1,4,8]=>0100110=>7
[2,8,7,6,3,1,5,4]=>0101111=>7
[2,5,8,7,6,3,1,4]=>0100111=>7
[2,4,8,1,6,5,7,3]=>0000111=>7
[2,8,7,3,6,1,4,5]=>0000111=>7
[7,3,5,2,1,4,6,8]=>1001010=>7
[8,4,2,5,1,3,7,6]=>0011011=>7
[2,3,6,8,1,4,7,5]=>0000011=>7
[2,7,8,6,3,1,4,5]=>0100101=>7
[7,3,8,5,2,1,4,6]=>1001011=>7
[2,3,6,1,8,4,7,5]=>0000111=>7
[2,8,6,3,1,4,5,7]=>0100101=>7
[8,3,5,2,1,4,6,7]=>1001001=>7
[2,4,8,1,3,7,5,6]=>0000011=>7
[2,5,8,1,7,3,6,4]=>0000111=>7
[2,8,1,5,7,3,6,4]=>0000111=>7
[3,8,6,1,4,7,5,2]=>0001111=>7
[2,6,8,1,5,7,3,4]=>0000011=>7
[2,7,1,5,8,3,4,6]=>0000011=>7
[3,7,5,8,1,2,6,4]=>0000111=>7
[7,3,6,1,2,8,4,5]=>0000111=>7
[7,4,8,1,6,5,2,3]=>0001111=>7
[7,4,5,8,6,1,2,3]=>0000111=>7
[6,8,4,5,1,7,2,3]=>0001011=>7
[5,1,8,7,6,2,3,4]=>0001111=>7
[8,5,1,6,2,7,3,4]=>0001111=>7
[4,6,1,8,7,5,2,3]=>0001111=>7
[4,5,1,8,7,2,3,6]=>0001011=>7
[3,4,8,7,1,2,5,6]=>0000011=>7
[6,4,8,7,1,2,5,3]=>0001111=>7
[5,6,8,3,7,1,4,2]=>0010011=>7
[6,4,7,1,2,8,5,3]=>0001111=>7
[6,5,1,2,7,3,8,4]=>0001111=>7
[6,5,1,8,2,7,3,4]=>0001111=>7
[6,5,1,8,7,2,3,4]=>0001111=>7
[6,5,1,7,2,8,3,4]=>0001111=>7
[6,5,1,7,2,3,8,4]=>0001111=>7
[5,6,8,7,4,1,2,3]=>0010011=>7
[6,8,5,7,4,1,2,3]=>0010011=>7
[7,3,8,1,5,2,4,6]=>0001011=>7
[4,1,7,5,3,6,2,8]=>0011110=>7
[1,8,4,2,3,6,7,5]=>0010011=>7
[2,5,8,3,4,6,7,1]=>0000011=>7
[4,1,7,2,3,6,8,5]=>0010011=>7
[4,6,2,1,5,7,8,3]=>1000101=>7
[4,5,2,3,1,7,8,6]=>0101001=>7
[3,2,6,7,4,1,8,5]=>0110011=>7
[5,6,2,7,1,4,8,3]=>0000111=>7
[6,2,3,8,1,7,4,5]=>0000111=>7
[2,6,8,3,4,7,1,5]=>0000011=>7
[4,6,2,7,5,1,3,8]=>0001110=>7
[2,6,3,1,8,4,5,7]=>0100101=>7
[2,4,3,7,8,1,5,6]=>0010001=>7
[5,3,2,7,4,8,1,6]=>0101011=>7
[5,1,2,7,6,8,4,3]=>0011011=>7
[2,6,3,1,8,7,4,5]=>0100111=>7
[3,5,6,4,7,8,1,2]=>0000101=>7
[5,3,6,4,2,8,7,1]=>0011111=>7
[5,4,2,3,7,8,6,1]=>0011101=>7
[4,1,8,2,5,7,3,6]=>0010011=>7
[3,1,8,4,7,2,5,6]=>0100011=>7
[6,2,3,8,4,1,7,5]=>0010111=>7
[2,6,4,1,5,3,8,7]=>0011101=>7
[3,2,7,6,4,1,8,5]=>0110111=>7
[2,5,4,1,7,6,8,3]=>0011011=>7
[6,2,1,4,7,8,3,5]=>1000101=>7
[2,6,5,1,7,8,3,4]=>0001101=>7
[4,7,5,2,1,6,3,8]=>1001110=>7
[4,2,3,7,8,1,6,5]=>0010101=>7
[5,8,3,1,7,2,4,6]=>0100011=>7
[6,8,3,1,5,2,4,7]=>0101001=>7
[4,2,7,1,6,3,5,8]=>0010110=>7
[5,1,7,4,2,6,3,8]=>0011110=>7
[6,8,4,2,1,5,3,7]=>1011001=>7
[6,8,5,2,1,7,3,4]=>1001011=>7
[5,8,2,1,4,7,3,6]=>1000011=>7
[6,8,3,2,5,1,7,4]=>0101011=>7
[6,8,4,3,1,5,7,2]=>0110011=>7
[6,8,4,2,1,5,7,3]=>1010011=>7
[6,8,3,2,1,4,5,7]=>1100001=>7
[5,1,7,3,2,4,6,8]=>0101010=>7
[5,2,1,8,3,6,7,4]=>1001011=>7
[4,3,8,1,6,2,7,5]=>0010111=>7
[5,4,7,2,1,6,8,3]=>1001011=>7
[5,2,1,7,3,4,8,6]=>1001011=>7
[6,4,3,1,7,5,8,2]=>0110111=>7
[5,3,1,7,2,6,8,4]=>0101011=>7
[3,2,1,7,6,4,8,5]=>1100111=>7
[4,2,1,6,5,8,3,7]=>1010101=>7
[4,2,1,8,5,7,3,6]=>1010011=>7
[7,4,3,1,8,5,6,2]=>0110111=>7
[7,4,2,1,8,5,6,3]=>1010111=>7
[6,3,2,1,7,4,5,8]=>1100110=>7
[6,4,2,1,7,5,3,8]=>1011110=>7
[7,5,2,1,8,6,3,4]=>1001111=>7
[6,1,8,4,2,7,3,5]=>0010111=>7
[6,2,1,8,3,7,4,5]=>1000111=>7
[5,2,1,7,3,6,4,8]=>1001110=>7
[5,3,2,7,6,1,4,8]=>0101110=>7
[5,3,2,8,6,1,4,7]=>0101101=>7
[6,3,2,8,7,1,4,5]=>0100111=>7
[4,2,8,1,7,3,5,6]=>0010011=>7
[4,3,8,7,2,1,5,6]=>1010011=>7
[2,1,5,8,4,7,3,6]=>1000011=>7
[4,3,2,5,8,1,6,7]=>0110001=>7
[4,3,2,5,7,1,6,8]=>0110010=>7
[4,3,1,6,2,7,5,8]=>0110110=>7
[4,3,1,7,2,8,5,6]=>0110011=>7
[5,4,1,7,2,8,6,3]=>0011111=>7
[6,5,3,1,7,8,4,2]=>0111101=>7
[6,4,2,1,7,8,3,5]=>1010101=>7
[5,4,2,1,6,7,3,8]=>1011010=>7
[5,3,2,1,6,7,4,8]=>1101010=>7
[6,4,2,1,7,8,5,3]=>1011101=>7
[5,3,2,6,8,1,7,4]=>0101011=>7
[3,2,1,4,8,7,5,6]=>1100011=>7
[3,2,1,4,6,8,5,7]=>1100001=>7
[4,3,2,6,1,7,8,5]=>0110101=>7
[5,3,2,1,6,7,8,4]=>1101001=>7
[8,6,1,4,5,7,2,3]=>0000111=>7
[3,8,6,4,5,7,1,2]=>0000111=>7
[5,2,8,3,7,4,6,1]=>0001111=>7
[6,2,8,5,4,7,3,1]=>0101111=>7
[1,8,6,3,7,4,2,5]=>0010111=>7
[1,8,6,5,7,2,3,4]=>0000111=>7
[5,2,8,4,3,6,7,1]=>0011011=>7
[5,4,2,7,3,6,1,8]=>0011110=>7
[5,4,2,8,3,6,1,7]=>0011101=>7
[6,5,3,8,4,7,2,1]=>1001111=>7
[5,2,8,4,3,7,1,6]=>0011011=>7
[6,2,8,3,7,4,1,5]=>0010111=>7
[5,4,2,7,3,1,8,6]=>0111011=>7
[6,4,3,7,1,2,8,5]=>0010111=>7
[6,4,3,8,1,2,7,5]=>0010111=>7
[7,6,3,8,4,2,1,5]=>1010111=>7
[7,2,8,5,1,6,3,4]=>0001111=>7
[7,2,8,4,3,1,5,6]=>0110011=>7
[7,5,3,8,4,2,6,1]=>0011111=>7
[6,4,2,7,3,1,5,8]=>0110110=>7
[7,6,4,8,2,3,5,1]=>0001111=>7
[7,6,8,1,2,5,3,4]=>0001011=>7
[5,3,1,7,8,4,6,2]=>0101101=>7
[5,3,2,7,8,4,6,1]=>0101101=>7
[5,4,1,6,3,8,7,2]=>0011111=>7
[6,5,1,7,8,2,3,4]=>0001101=>7
[6,3,1,7,8,4,2,5]=>0110101=>7
[5,4,1,7,3,8,2,6]=>0011011=>7
[6,3,2,7,8,4,1,5]=>0110101=>7
[6,1,5,4,3,2,8,7]=>0111101=>7
[8,7,6,1,3,5,2,4]=>0001111=>7
[8,1,6,5,7,3,4,2]=>0010111=>7
[8,4,1,5,7,6,2,3]=>0010111=>7
[7,8,6,2,5,3,1,4]=>0101101=>7
[6,1,3,5,2,8,4,7]=>0001101=>7
[8,1,3,7,4,2,5,6]=>0010011=>7
[4,3,8,7,5,2,1,6]=>1011011=>7
[6,7,1,8,5,3,4,2]=>0011011=>7
[2,7,6,4,8,3,5,1]=>0001111=>7
[6,5,2,7,1,4,8,3]=>0001111=>7
[7,4,6,1,3,2,8,5]=>0100111=>7
[7,5,2,1,3,8,4,6]=>1001011=>7
[8,4,7,6,3,1,5,2]=>0101111=>7
[7,4,1,5,6,3,8,2]=>0010111=>7
[3,4,7,5,6,1,8,2]=>0000111=>7
[2,4,7,5,6,3,8,1]=>0000111=>7
[5,4,1,7,6,2,8,3]=>0011111=>7
[3,5,6,7,1,4,8,2]=>0000011=>7
[2,7,6,1,3,4,8,5]=>0000111=>7
[5,7,2,1,6,3,8,4]=>1000111=>7
[4,7,2,5,6,3,8,1]=>0000111=>7
[8,6,2,5,7,1,4,3]=>0010111=>7
[2,7,4,5,3,8,1,6]=>0001011=>7
[6,8,7,1,3,2,5,4]=>0101011=>7
[2,8,6,5,7,1,4,3]=>0010111=>7
[5,8,4,3,2,6,7,1]=>0110011=>7
[1,8,5,6,2,4,7,3]=>0000111=>7
[8,1,5,6,2,4,7,3]=>0000111=>7
[6,4,8,1,3,2,7,5]=>0100111=>7
[1,4,5,2,8,6,7,3]=>0001011=>7
[2,3,1,7,8,6,4,5]=>0100101=>7
[3,5,7,6,2,8,1,4]=>0000111=>7
[4,5,6,1,2,8,7,3]=>0000111=>7
[5,4,1,2,8,6,7,3]=>0011011=>7
[8,4,5,2,1,6,7,3]=>1001011=>7
[3,1,2,6,8,4,7,5]=>0100011=>7
[5,1,3,2,7,8,4,6]=>0101001=>7
[1,5,4,2,7,8,3,6]=>0011001=>7
[4,6,7,8,3,1,5,2]=>0101001=>7
[7,6,2,8,4,3,1,5]=>0110111=>7
[5,2,8,6,3,4,7,1]=>0001111=>7
[5,6,8,4,3,2,7,1]=>0110011=>7
[5,3,8,1,7,2,4,6]=>0001011=>7
[3,6,7,8,4,2,1,5]=>1010001=>7
[6,5,1,8,4,3,7,2]=>0011111=>7
[6,3,8,4,2,1,7,5]=>1010111=>7
[2,5,8,3,1,6,7,4]=>0100011=>7
[3,5,8,1,2,6,7,4]=>0000011=>7
[3,2,8,1,5,6,7,4]=>0100011=>7
[1,5,8,3,2,6,7,4]=>0100011=>7
[1,3,8,6,2,4,7,5]=>0000111=>7
[3,2,7,8,4,6,1,5]=>0100101=>7
[5,1,8,3,4,6,7,2]=>0001011=>7
[4,8,7,2,1,6,3,5]=>1000111=>7
[2,8,1,6,3,4,7,5]=>0000111=>7
[8,3,4,2,1,6,5,7]=>1010101=>7
[6,4,7,2,5,8,1,3]=>0000111=>7
[8,4,5,2,6,3,1,7]=>0101101=>7
[2,4,5,8,3,6,1,7]=>0000101=>7
[3,5,8,1,2,6,4,7]=>0000101=>7
[8,6,1,3,5,2,4,7]=>0001101=>7
[8,5,1,2,6,4,3,7]=>0011101=>7
[5,8,6,1,3,4,2,7]=>0010101=>7
[5,8,4,6,1,3,2,7]=>0100101=>7
[7,3,4,5,2,8,1,6]=>0001011=>7
[5,7,4,3,6,1,8,2]=>0010111=>7
[2,6,4,3,7,8,5,1]=>0011101=>7
[7,4,1,8,3,2,5,6]=>0110011=>7
[6,2,1,7,8,4,5,3]=>1001101=>7
[7,6,3,1,5,4,8,2]=>0101111=>7
[2,4,6,5,1,7,8,3]=>0001101=>7
[1,4,7,5,6,8,2,3]=>0000011=>7
[1,4,7,6,5,8,2,3]=>0000111=>7
[3,7,5,2,4,6,8,1]=>0001011=>7
[5,6,1,7,4,2,8,3]=>0010111=>7
[3,7,4,8,1,2,6,5]=>0000111=>7
[6,3,5,7,8,1,4,2]=>0010101=>7
[3,6,5,7,1,8,4,2]=>0010111=>7
[6,4,7,8,2,1,3,5]=>1000101=>7
[6,7,3,8,4,1,2,5]=>0010011=>7
[2,7,8,3,4,6,1,5]=>0000101=>7
[7,5,8,4,1,3,2,6]=>0110011=>7
[4,7,5,8,3,1,2,6]=>0100011=>7
[3,6,7,4,8,1,2,5]=>0000011=>7
[5,7,3,1,6,8,4,2]=>0110011=>7
[2,7,3,1,8,6,4,5]=>0100111=>7
[2,8,4,3,1,5,7,6]=>0110011=>7
[4,8,1,2,3,5,7,6]=>0000011=>7
[7,6,8,1,2,4,3,5]=>0010011=>7
[7,6,8,5,1,3,2,4]=>0101011=>7
[2,8,5,4,6,1,7,3]=>0001111=>7
[8,4,5,2,7,6,1,3]=>0001111=>7
[8,7,6,4,1,2,5,3]=>0011111=>7
[6,7,1,3,5,2,8,4]=>0001011=>7
[5,7,2,3,6,8,1,4]=>0000011=>7
[8,5,3,2,7,6,1,4]=>0101111=>7
[3,4,6,7,5,8,1,2]=>0000011=>7
[3,4,5,7,6,1,8,2]=>0000111=>7
[2,6,4,5,7,8,3,1]=>0100101=>7
[3,8,5,1,6,2,7,4]=>0001111=>7
[2,5,1,3,6,8,7,4]=>0001011=>7
[5,4,6,1,3,7,8,2]=>0001101=>7
[6,3,5,7,1,4,8,2]=>0000111=>7
[7,3,4,6,8,1,5,2]=>0001011=>7
[7,5,2,8,4,1,3,6]=>0011011=>7
[3,7,6,4,1,8,2,5]=>0010111=>7
[3,7,8,4,1,5,6,2]=>0010101=>7
[8,7,5,4,2,1,6,3]=>1011111=>7
[3,5,8,6,7,4,2,1]=>1010011=>7
[5,8,1,6,7,3,4,2]=>0010011=>7
[6,7,2,5,1,8,4,3]=>0011011=>7
[5,8,2,1,6,7,4,3]=>1010011=>7
[4,5,2,8,6,3,7,1]=>0001111=>7
[3,6,1,2,5,8,4,7]=>0000101=>7
[1,4,5,8,2,3,7,6]=>0000011=>7
[1,2,6,4,5,8,3,7]=>0000101=>7
[1,5,2,4,6,8,3,7]=>0001001=>7
[3,6,1,5,8,2,4,7]=>0000101=>7
[2,6,5,1,4,8,3,7]=>0001101=>7
[5,2,6,1,4,8,3,7]=>0001101=>7
[2,5,1,8,4,7,3,6]=>0001011=>7
[2,7,1,4,3,6,8,5]=>0010011=>7
[1,3,7,5,8,2,4,6]=>0000011=>7
[8,2,1,5,7,3,4,6]=>1000011=>7
[2,5,4,8,1,3,7,6]=>0001011=>7
[2,4,1,3,8,6,7,5]=>0010011=>7
[8,4,3,7,1,2,6,5]=>0010111=>7
[1,7,3,5,8,2,6,4]=>0000111=>7
[1,8,4,2,6,7,3,5]=>0010011=>7
[3,1,6,8,7,2,4,5]=>0100011=>7
[7,2,1,6,8,3,4,5]=>1000011=>7
[3,1,7,6,8,2,4,5]=>0100011=>7
[4,1,7,2,6,8,3,5]=>0010011=>7
[5,1,7,2,3,6,8,4]=>0001011=>7
[7,2,1,6,3,5,8,4]=>1000111=>7
[2,6,1,7,3,5,8,4]=>0000111=>7
[7,1,2,5,3,6,8,4]=>0001011=>7
[5,4,1,2,7,8,3,6]=>0011001=>7
[8,1,3,2,4,6,7,5]=>0100011=>7
[7,3,1,2,4,6,8,5]=>0100011=>7
[1,8,3,4,7,2,5,6]=>0000011=>7
[3,5,8,1,2,7,4,6]=>0000011=>7
[3,6,8,1,2,4,7,5]=>0000011=>7
[4,1,3,8,7,2,6,5]=>0010111=>7
[1,3,7,4,8,2,6,5]=>0000111=>7
[1,4,6,8,2,3,7,5]=>0000011=>7
[3,5,8,1,7,2,4,6]=>0000011=>7
[2,6,8,1,7,3,4,5]=>0000011=>7
[6,1,5,8,2,3,7,4]=>0000111=>7
[1,8,3,2,7,5,6,4]=>0100111=>7
[3,1,7,2,8,5,6,4]=>0100111=>7
[2,6,7,3,8,1,5,4]=>0001011=>7
[8,4,1,7,3,6,2,5]=>0010111=>7
[3,7,2,8,6,1,5,4]=>0001111=>7
[6,2,3,8,7,1,5,4]=>0001111=>7
[5,1,7,8,4,2,6,3]=>0011101=>7
[5,1,8,7,4,2,6,3]=>0011111=>7
[4,7,2,8,3,6,5,1]=>0001111=>7
[4,1,7,8,5,3,6,2]=>0011101=>7
[5,1,7,4,8,3,6,2]=>0001111=>7
[4,1,8,7,5,3,6,2]=>0011111=>7
[4,8,2,7,3,6,5,1]=>0001111=>7
[4,7,2,6,3,5,8,1]=>0000111=>7
[6,8,2,4,3,7,5,1]=>0011011=>7
[6,7,2,4,3,8,5,1]=>0011011=>7
[6,8,2,7,3,5,4,1]=>0011011=>7
[3,8,7,2,4,1,5,6]=>0010011=>7
[3,7,8,2,4,1,5,6]=>0010001=>7
[3,6,8,2,4,5,7,1]=>0000011=>7
[3,6,7,2,4,5,8,1]=>0000011=>7
[6,5,1,4,2,3,8,7]=>0011101=>7
[8,6,1,7,2,5,4,3]=>0011111=>7
[8,7,6,1,2,3,5,4]=>0001111=>7
[5,4,3,1,6,2,8,7]=>0111101=>7
[8,3,4,7,1,6,2,5]=>0000111=>7
[6,3,4,1,8,5,2,7]=>0011101=>7
[3,8,5,2,7,1,6,4]=>0001111=>7
[2,8,6,7,5,3,4,1]=>0011011=>7
[2,1,8,7,3,6,4,5]=>1000111=>7
[3,6,5,8,2,4,7,1]=>0000111=>7
[5,2,1,8,7,3,4,6]=>1001011=>7
[6,5,2,7,4,3,8,1]=>0011111=>7
[4,6,5,2,7,3,8,1]=>0001111=>7
[6,2,7,1,8,3,5,4]=>0001111=>7
[2,7,5,4,8,3,6,1]=>0001111=>7
[8,7,5,1,2,6,4,3]=>0011111=>7
[8,4,3,2,7,1,6,5]=>0110111=>7
[7,1,6,2,3,8,5,4]=>0001111=>7
[4,8,1,3,2,7,5,6]=>0100011=>7
[3,8,1,4,7,5,2,6]=>0001011=>7
[6,3,8,7,4,5,1,2]=>0001111=>7
[6,1,4,8,5,2,3,7]=>0001101=>7
[8,5,7,4,6,2,1,3]=>1000111=>7
[4,6,7,8,2,3,5,1]=>0001001=>7
[8,7,4,6,2,1,5,3]=>1001111=>7
[7,6,1,3,5,2,8,4]=>0001111=>7
[5,8,3,2,4,6,1,7]=>0100101=>7
[8,2,6,5,3,1,7,4]=>0101111=>7
[4,8,7,6,5,2,3,1]=>0101111=>7
[2,1,8,6,4,3,7,5]=>1010111=>7
[2,1,7,6,5,3,8,4]=>1001111=>7
[2,7,6,1,3,5,8,4]=>0000111=>7
[7,2,5,4,6,1,8,3]=>0001111=>7
[4,7,6,1,2,5,8,3]=>0000111=>7
[2,4,1,7,6,8,5,3]=>0011011=>7
[3,4,1,7,8,5,6,2]=>0010101=>7
[7,5,4,3,1,8,6,2]=>0111111=>7
[8,5,6,2,7,3,1,4]=>0100111=>7
[8,4,2,5,6,1,7,3]=>0010111=>7
[6,3,5,4,1,7,8,2]=>0011101=>7
[4,1,3,6,7,5,8,2]=>0010011=>7
[1,7,5,3,8,2,4,6]=>0001011=>7
[1,7,2,4,5,8,3,6]=>0000011=>7
[8,2,5,3,1,6,4,7]=>0101101=>7
[1,7,4,5,8,3,2,6]=>0100011=>7
[2,6,4,7,8,3,5,1]=>0001101=>7
[2,6,4,7,8,3,1,5]=>0100101=>7
[1,2,6,4,7,8,3,5]=>0000101=>7
[2,7,4,5,8,1,3,6]=>0000011=>7
[2,7,5,3,1,8,4,6]=>0101011=>7
[6,1,4,7,8,3,5,2]=>0001101=>7
[3,6,4,7,8,1,5,2]=>0001101=>7
[4,3,6,7,1,8,5,2]=>0011011=>7
[4,3,6,7,1,8,2,5]=>0010011=>7
[3,6,4,7,8,1,2,5]=>0000101=>7
[2,3,6,4,1,7,8,5]=>0010101=>7
[4,7,2,1,5,3,8,6]=>1001011=>7
[3,7,4,5,2,1,8,6]=>1001011=>7
[1,3,6,4,7,2,8,5]=>0000111=>7
[3,6,4,7,2,8,5,1]=>0001111=>7
[5,1,3,4,2,7,8,6]=>0011001=>7
[5,4,2,1,3,7,8,6]=>1011001=>7
[6,1,7,3,8,2,5,4]=>0001111=>7
[1,6,7,3,8,2,5,4]=>0001011=>7
[6,1,4,7,8,5,2,3]=>0001101=>7
[6,3,2,1,7,8,5,4]=>1101101=>7
[6,2,7,3,1,8,5,4]=>0101111=>7
[6,2,4,7,8,1,5,3]=>0001101=>7
[2,6,7,3,1,8,5,4]=>0101011=>7
[8,6,5,1,3,2,4,7]=>0101101=>7
[6,4,7,8,3,2,5,1]=>0101101=>7
[3,8,4,7,1,2,5,6]=>0000011=>7
[8,6,1,2,5,4,3,7]=>0011101=>7
[4,8,6,1,5,3,2,7]=>0101101=>7
[5,8,6,4,1,3,2,7]=>0110101=>7
[8,3,6,4,5,2,1,7]=>1001101=>7
[6,8,5,7,4,2,3,1]=>0110011=>7
[2,3,8,7,1,6,4,5]=>0000111=>7
[4,3,7,8,1,6,2,5]=>0010101=>7
[3,5,8,7,4,1,2,6]=>0010011=>7
[7,3,8,4,1,2,5,6]=>0010011=>7
[4,8,1,2,7,3,5,6]=>0000011=>7
[6,8,1,2,7,4,5,3]=>0001011=>7
[5,6,8,4,1,3,7,2]=>0010011=>7
[8,5,4,7,1,6,3,2]=>0101111=>7
[2,5,8,7,3,6,4,1]=>0010111=>7
[2,4,8,7,5,6,1,3]=>0000111=>7
[3,7,4,8,5,6,2,1]=>1000111=>7
[6,4,8,7,5,1,2,3]=>0001111=>7
[3,8,5,2,4,6,7,1]=>0001011=>7
[5,7,1,8,4,6,2,3]=>0000111=>7
[6,3,8,7,2,1,4,5]=>1000111=>7
[2,3,7,8,5,6,1,4]=>0000101=>7
[3,7,6,8,5,1,2,4]=>0001011=>7
[2,6,7,8,5,1,3,4]=>0001001=>7
[2,4,7,8,1,6,3,5]=>0000101=>7
[5,4,7,8,2,6,3,1]=>0101101=>7
[2,8,3,4,1,5,7,6]=>0010011=>7
[6,8,3,4,1,2,7,5]=>0010011=>7
[6,8,7,1,5,2,3,4]=>0001011=>7
[5,8,3,2,7,6,1,4]=>0100111=>7
[2,5,3,1,8,6,7,4]=>0101011=>7
[4,5,3,2,8,6,7,1]=>0101011=>7
[3,5,8,6,1,4,7,2]=>0000111=>7
[2,8,5,6,1,4,7,3]=>0000111=>7
[4,8,6,1,5,2,7,3]=>0001111=>7
[5,8,2,3,7,6,1,4]=>0000111=>7
[4,6,8,5,3,2,7,1]=>0101011=>7
[2,6,4,8,5,1,7,3]=>0001111=>7
[7,6,4,8,5,2,1,3]=>1001111=>7
[3,4,8,6,5,2,7,1]=>0001111=>7
[3,4,8,7,5,6,2,1]=>1000111=>7
[7,5,3,2,8,6,1,4]=>0101111=>7
[2,5,1,3,8,6,7,4]=>0001011=>7
[4,5,1,2,8,6,7,3]=>0001011=>7
[5,4,8,1,3,6,7,2]=>0001011=>7
[8,3,5,4,1,6,7,2]=>0011011=>7
[7,3,4,8,5,6,1,2]=>0000111=>7
[6,1,5,7,2,4,8,3]=>0000111=>7
[7,4,5,1,2,3,8,6]=>0001011=>7
[7,4,3,1,2,8,5,6]=>0110011=>7
[8,4,7,6,2,1,5,3]=>1001111=>7
[8,4,6,5,7,1,3,2]=>0100111=>7
[7,2,1,4,5,8,3,6]=>1000011=>7
[7,4,1,6,3,5,8,2]=>0010111=>7
[3,5,7,6,4,1,8,2]=>0010111=>7
[4,7,5,2,1,3,8,6]=>1001011=>7
[5,7,2,3,6,4,8,1]=>0000111=>7
[8,6,2,3,7,1,4,5]=>0000111=>7
[5,7,2,4,8,3,6,1]=>0000111=>7
[1,7,2,4,8,6,3,5]=>0000111=>7
[7,6,1,5,4,8,3,2]=>0101111=>7
[4,7,3,2,1,8,5,6]=>1100011=>7
[3,1,7,2,5,8,4,6]=>0100011=>7
[4,8,7,6,1,2,5,3]=>0001111=>7
[7,8,6,1,3,2,5,4]=>0101101=>7
[2,8,6,7,4,1,3,5]=>0010011=>7
[5,8,6,4,2,3,1,7]=>0110101=>7
[2,8,3,1,6,5,4,7]=>0101101=>7
[3,8,1,2,5,7,4,6]=>0000011=>7
[6,8,5,4,2,7,3,1]=>0111011=>7
[6,8,3,1,2,4,5,7]=>0100001=>7
[4,6,8,7,3,1,5,2]=>0101011=>7
[6,5,3,7,8,4,1,2]=>0011101=>7
[4,1,3,8,7,5,6,2]=>0010111=>7
[6,2,7,4,8,1,3,5]=>0000111=>7
[8,4,5,2,1,6,3,7]=>1001101=>7
[4,3,2,6,8,1,7,5]=>0110011=>7
[7,1,5,6,3,8,2,4]=>0000111=>7
[5,1,2,4,7,8,3,6]=>0001001=>7
[3,5,4,2,8,1,6,7]=>0011001=>7
[5,1,3,8,4,2,7,6]=>0011011=>7
[6,2,8,7,3,5,4,1]=>0011111=>7
[7,1,8,4,3,6,5,2]=>0011111=>7
[3,6,8,7,4,1,2,5]=>0010011=>7
[5,6,8,1,7,3,2,4]=>0100011=>7
[3,1,6,8,7,4,2,5]=>0110011=>7
[7,4,6,8,2,1,5,3]=>1001011=>7
[6,5,8,4,3,1,2,7]=>0110101=>7
[2,5,8,3,6,7,4,1]=>0010011=>7
[8,5,1,3,7,4,6,2]=>0001111=>7
[1,5,8,3,7,4,2,6]=>0010011=>7
[3,8,2,7,1,5,6,4]=>0000111=>7
[5,8,2,3,6,4,1,7]=>0010101=>7
[6,8,2,3,4,7,5,1]=>0001011=>7
[7,5,1,8,4,2,6,3]=>0011111=>7
[3,6,8,5,2,7,4,1]=>0011011=>7
[2,1,6,5,4,8,3,7]=>1001101=>7
[2,1,7,8,4,6,5,3]=>1001101=>7
[2,1,7,4,3,5,8,6]=>1010011=>7
[3,5,7,8,4,6,1,2]=>0000101=>7
[7,5,2,8,4,6,3,1]=>0101111=>7
[7,8,2,4,3,1,5,6]=>0110001=>7
[7,6,3,8,1,5,4,2]=>0011111=>7
[7,2,4,1,6,3,8,5]=>0010111=>7
[8,4,3,1,7,5,2,6]=>0111011=>7
[7,3,1,4,6,8,5,2]=>0101011=>7
[4,3,8,7,1,6,5,2]=>0011111=>7
[4,7,1,8,5,2,6,3]=>0001111=>7
[5,2,4,3,6,8,1,7]=>0011001=>7
[3,8,6,5,4,1,2,7]=>0011101=>7
[4,7,5,6,3,8,2,1]=>1000111=>7
[4,2,7,5,8,3,6,1]=>0010111=>7
[5,8,2,7,3,4,6,1]=>0000111=>7
[6,7,2,4,5,3,8,1]=>0001011=>7
[6,3,2,1,4,8,5,7]=>1100101=>7
[6,2,3,1,4,7,8,5]=>0100101=>7
[5,2,1,3,6,4,8,7]=>1001101=>7
[7,1,8,3,5,4,6,2]=>0001111=>7
[7,1,2,4,8,5,6,3]=>0000111=>7
[7,2,1,3,4,5,8,6]=>1000011=>7
[8,7,3,5,4,2,1,6]=>1011011=>7
[8,4,6,5,3,2,1,7]=>1101101=>7
[5,1,6,4,3,2,8,7]=>0111101=>7
[8,3,7,1,4,6,5,2]=>0001111=>7
[2,8,3,6,4,7,5,1]=>0001111=>7
[6,2,1,7,5,8,3,4]=>1000111=>7
[6,3,8,7,5,2,1,4]=>1001111=>7
[6,7,2,1,5,8,4,3]=>1010011=>7
[9,1,8,7,6,5,4,3,2]=>01111111=>8
[7,6,8,1,5,4,3,2]=>0111011=>7
[7,1,9,8,6,5,4,3,2]=>01111111=>8
[6,1,9,8,7,5,4,3,2]=>01111111=>8
[5,4,8,7,6,1,3,2]=>0101111=>7
[5,1,9,8,7,6,4,3,2]=>01111111=>8
[4,1,9,8,7,6,5,3,2]=>01111111=>8
[3,1,9,8,7,6,5,4,2]=>01111111=>8
[10,1,9,8,7,6,5,4,3,2]=>011111111=>9
[9,8,1,7,6,5,4,3,2]=>01111111=>8
[7,6,1,8,5,4,3,2]=>0111111=>7
[8,7,9,1,6,5,4,3,2]=>01111011=>8
[8,1,10,9,7,6,5,4,3,2]=>011111111=>9
[6,5,8,1,7,4,3,2]=>0110111=>7
[7,6,9,8,1,5,4,3,2]=>01110111=>4
[7,1,10,9,8,6,5,4,3,2]=>011111111=>9
[6,5,9,8,7,1,4,3,2]=>01101111=>8
[6,1,10,9,8,7,5,4,3,2]=>011111111=>9
[6,5,8,7,4,1,3,2]=>0110111=>7
[5,4,9,8,7,6,1,3,2]=>01011111=>8
[5,1,10,9,8,7,6,4,3,2]=>011111111=>9
[4,3,9,8,7,6,5,1,2]=>00111111=>8
[4,1,10,9,8,7,6,5,3,2]=>011111111=>9
[3,2,9,8,7,6,5,4,1]=>01111111=>8
[3,1,10,9,8,7,6,5,4,2]=>011111111=>9
[1,6,4,8,3,2,5,7]=>0100101=>7
[1,8,3,5,6,2,4,7]=>0000101=>7
[1,4,8,5,6,2,3,7]=>0000101=>7
[1,2,8,5,3,7,4,6]=>0001011=>7
[6,1,4,8,2,3,5,7]=>0000101=>7
[8,7,2,5,6,1,4,3]=>0010111=>7
[1,8,2,5,4,7,3,6]=>0001011=>7
[5,7,4,1,2,3,8,6]=>0010011=>7
[1,7,4,2,5,3,8,6]=>0011011=>7
[6,7,4,2,1,3,8,5]=>1010011=>7
[6,4,3,8,5,7,1,2]=>0010111=>7
[7,4,3,6,2,1,5,8]=>1010110=>7
[7,2,5,3,4,1,6,8]=>0011010=>7
[8,3,7,4,5,6,1,2]=>0000111=>7
[2,7,4,3,1,5,6,8]=>0110010=>7
[6,8,4,2,3,1,5,7]=>0110001=>7
[3,7,5,2,4,1,6,8]=>0011010=>7
[7,1,3,2,8,4,5,6]=>0100011=>7
[2,1,7,4,8,3,5,6]=>1000011=>7
[5,2,8,6,1,3,4,7]=>0001101=>7
[2,8,3,1,4,5,6,7]=>0100001=>7
[7,4,8,2,3,1,5,6]=>0100011=>7
[4,2,7,3,1,5,6,8]=>0110010=>7
[8,3,7,2,1,4,5,6]=>1000011=>7
[6,5,2,4,7,1,3,8]=>0001110=>7
[6,5,7,4,1,8,2,3]=>0010111=>7
[7,6,4,5,1,8,2,3]=>0001111=>7
[8,6,4,1,3,7,2,5]=>0010111=>7
[6,4,3,1,8,2,5,7]=>0110101=>7
[7,4,1,2,8,3,5,6]=>0010011=>7
[4,8,1,3,5,7,2,6]=>0000011=>7
[7,8,4,1,3,6,2,5]=>0010101=>7
[6,5,8,1,3,7,2,4]=>0000111=>7
[5,3,6,1,8,2,4,7]=>0001101=>7
[4,7,3,1,8,2,5,6]=>0100011=>7
[8,3,1,7,2,4,5,6]=>0100011=>7
[2,8,1,4,7,3,5,6]=>0000011=>7
[3,1,8,5,4,7,6,2]=>0101111=>7
[4,1,5,8,3,7,6,2]=>0010111=>7
[4,1,5,3,8,7,6,2]=>0011111=>7
[4,5,1,8,2,7,6,3]=>0001111=>7
[4,8,5,3,1,7,6,2]=>0101111=>7
[4,5,2,8,1,7,6,3]=>0001111=>7
[4,5,2,1,8,7,6,3]=>1001111=>7
[5,6,2,7,8,1,4,3]=>0010101=>7
[4,6,2,8,7,1,5,3]=>0001111=>7
[4,8,6,3,7,1,5,2]=>0001111=>7
[4,8,6,3,7,5,1,2]=>0001111=>7
[4,6,8,2,7,5,1,3]=>0001011=>7
[4,6,2,8,7,5,1,3]=>0001111=>7
[5,6,2,7,4,1,8,3]=>0010111=>7
[5,6,7,2,3,1,8,4]=>0100011=>7
[5,6,7,2,8,3,1,4]=>0100011=>7
[5,6,7,2,1,8,3,4]=>1000011=>7
[5,6,7,2,1,3,8,4]=>1000011=>7
[5,6,1,7,8,2,4,3]=>0010101=>7
[5,6,1,7,2,4,8,3]=>0000111=>7
[5,1,6,7,8,3,4,2]=>0011001=>7
[4,1,6,8,7,3,5,2]=>0011011=>7
[3,1,8,6,7,5,4,2]=>0111011=>7
[4,1,6,8,7,5,3,2]=>0111011=>7
[5,1,6,7,4,8,3,2]=>0101011=>7
[5,6,1,7,8,4,2,3]=>0010101=>7
[4,6,8,1,7,5,2,3]=>0001011=>7
[4,8,6,1,7,5,3,2]=>0101111=>7
[5,6,7,1,8,3,2,4]=>0100011=>7
[5,6,7,1,3,8,2,4]=>0000011=>7
[5,6,7,1,3,2,8,4]=>0100011=>7
[5,6,7,3,1,2,8,4]=>0100011=>7
[5,6,7,3,8,1,2,4]=>0000011=>7
[5,6,8,7,4,2,1,3]=>1010011=>7
[5,6,7,3,8,2,1,4]=>1000011=>7
[7,4,6,2,3,5,1,8]=>0001110=>7
[1,4,8,6,3,2,5,7]=>0100101=>7
[7,4,1,6,3,8,5,2]=>0011111=>7
[7,6,3,1,5,8,4,2]=>0110111=>7
[6,4,2,5,7,3,1,8]=>0110110=>7
[4,2,5,7,6,3,1,8]=>0110110=>7
[7,4,5,6,1,8,3,2]=>0100111=>7
[4,1,5,8,6,3,2,7]=>0110101=>7
[3,2,7,6,1,8,5,4]=>0101111=>7
[4,7,5,1,6,8,2,3]=>0001011=>7
[8,6,5,1,2,7,4,3]=>0011111=>7
[3,2,5,1,4,8,7,6]=>0101011=>7
[8,5,4,1,3,2,7,6]=>0111011=>7
[1,4,2,3,6,8,7,5]=>0010011=>7
[5,4,8,3,7,1,6,2]=>0001111=>7
[4,7,1,8,2,5,3,6]=>0001011=>7
[6,4,1,8,5,3,7,2]=>0011111=>7
[8,4,6,1,3,5,2,7]=>0001101=>7
[3,2,5,4,7,8,1,6]=>0101001=>7
[5,2,4,3,7,8,1,6]=>0011001=>7
[8,1,6,7,2,5,3,4]=>0001011=>7
[3,1,7,6,5,8,2,4]=>0100111=>7
[1,2,7,5,6,8,3,4]=>0000011=>7
[6,1,4,7,2,8,3,5]=>0000111=>7
[3,2,1,7,6,8,4,5]=>1100011=>7
[3,2,8,6,4,7,1,5]=>0100111=>7
[7,8,4,6,3,2,1,5]=>1100101=>7
[1,8,6,5,3,7,2,4]=>0001111=>7
[8,2,5,3,6,7,1,4]=>0001011=>7
[3,8,5,2,7,6,1,4]=>0001111=>7
[4,7,5,3,1,8,6,2]=>0101111=>7
[4,5,3,6,8,1,7,2]=>0001011=>7
[3,5,2,6,1,8,7,4]=>0001111=>7
[1,6,3,5,7,2,8,4]=>0000111=>7
[1,5,4,6,7,8,2,3]=>0001001=>7
[8,4,6,5,7,2,1,3]=>1000111=>7
[7,4,5,2,6,8,1,3]=>0001011=>7
[5,4,2,6,8,7,1,3]=>0011011=>7
[7,8,4,3,1,2,6,5]=>0110101=>7
[6,5,1,4,3,2,8,7]=>0111101=>7
[2,6,5,1,4,7,3,8]=>0001110=>7
[3,6,4,5,2,1,8,7]=>1001101=>7
[5,7,4,1,3,8,6,2]=>0010111=>7
[7,5,4,2,3,8,1,6]=>0011011=>7
[5,2,6,7,3,1,4,8]=>0101010=>7
[2,4,3,8,6,1,5,7]=>0010101=>7
[7,8,1,3,5,6,2,4]=>0000101=>7
[7,8,3,1,5,6,2,4]=>0100101=>7
[7,1,3,8,5,6,2,4]=>0000111=>7
[1,7,8,3,5,6,2,4]=>0000101=>7
[5,1,7,8,3,4,6,2]=>0001101=>7
[1,5,7,8,3,4,6,2]=>0000101=>7
[3,7,1,5,8,6,2,4]=>0000111=>7
[1,3,7,8,2,5,6,4]=>0000101=>7
[3,1,7,8,5,2,6,4]=>0101101=>7
[1,3,7,5,8,2,6,4]=>0000111=>7
[3,1,7,5,8,2,6,4]=>0100111=>7
[3,5,7,1,8,4,6,2]=>0000111=>7
[3,5,7,8,1,4,6,2]=>0000101=>7
[5,3,7,8,4,6,1,2]=>0001101=>7
[5,3,7,8,4,1,6,2]=>0011101=>7
[5,3,7,8,1,4,6,2]=>0001101=>7
[5,3,7,1,8,4,6,2]=>0001111=>7
[1,5,3,7,8,4,2,6]=>0011001=>7
[5,1,3,7,8,4,2,6]=>0011001=>7
[3,6,2,1,4,5,8,7]=>1000101=>7
[8,6,2,7,4,5,1,3]=>0001111=>7
[5,2,8,1,7,3,4,6]=>0001011=>7
[4,2,3,8,1,5,6,7]=>0010001=>7
[2,1,5,8,4,3,6,7]=>1010001=>7
[5,8,3,2,7,1,4,6]=>0100011=>7
[2,6,8,3,7,1,4,5]=>0000011=>7
[5,1,8,3,7,2,4,6]=>0001011=>7
[5,1,8,4,6,2,3,7]=>0001101=>7
[3,1,8,4,2,5,6,7]=>0110001=>7
[3,8,4,2,1,5,6,7]=>1010001=>7
[3,4,2,8,1,5,6,7]=>0010001=>7
[4,8,5,2,6,1,3,7]=>0001101=>7
[4,1,7,5,6,2,8,3]=>0010111=>7
[5,7,4,3,8,1,6,2]=>0010111=>7
[5,7,4,3,8,2,6,1]=>0010111=>7
[3,8,4,2,6,7,5,1]=>0011011=>7
[3,8,4,1,6,7,5,2]=>0011011=>7
[6,1,7,5,2,8,4,3]=>0011111=>7
[5,6,4,3,2,8,1,7]=>0110101=>7
[2,6,7,5,3,8,4,1]=>0011011=>7
[6,7,4,8,2,5,3,1]=>0101011=>7
[2,1,6,7,5,3,8,4]=>1001011=>7
[3,8,4,2,1,6,7,5]=>1010011=>7
[5,7,4,3,8,2,1,6]=>1010011=>7
[6,7,4,8,1,2,5,3]=>0001011=>7
[6,7,5,8,1,2,4,3]=>0010011=>7
[6,7,4,8,3,1,2,5]=>0100011=>7
[3,4,8,1,2,5,7,6]=>0000011=>7
[6,1,3,4,8,2,5,7]=>0000101=>7
[6,2,3,4,8,1,5,7]=>0000101=>7
[3,4,8,2,1,5,7,6]=>1000011=>7
[6,7,5,8,2,4,3,1]=>0110011=>7
[6,7,5,8,3,1,4,2]=>0110011=>7
[3,4,8,1,5,7,6,2]=>0000111=>7
[2,5,7,6,1,4,8,3]=>0000111=>7
[6,7,4,8,2,3,5,1]=>0001011=>7
[6,7,4,8,1,3,5,2]=>0001011=>7
[2,6,7,5,1,3,8,4]=>0001011=>7
[6,3,1,4,8,2,5,7]=>0100101=>7
[6,7,4,8,1,3,2,5]=>0100011=>7
[6,7,5,8,4,1,3,2]=>0110011=>7
[6,7,4,8,2,1,3,5]=>1000011=>7
[6,7,4,8,1,2,3,5]=>0000011=>7
[1,5,6,3,4,8,2,7]=>0000101=>7
[1,4,3,6,5,8,2,7]=>0010101=>7
[8,1,3,4,7,2,6,5]=>0000111=>7
[5,1,7,3,4,8,2,6]=>0001011=>7
[6,7,8,2,3,5,4,1]=>0011001=>7
[5,8,6,2,3,7,4,1]=>0010111=>7
[2,8,3,4,7,5,6,1]=>0000111=>7
[1,8,3,4,7,6,2,5]=>0000111=>7
[8,7,2,3,6,5,4,1]=>0011111=>7
[3,8,1,7,5,2,6,4]=>0001111=>7
[4,8,1,6,7,2,5,3]=>0001011=>7
[2,1,3,8,4,6,5,7]=>1000101=>7
[8,2,1,7,4,3,6,5]=>1010111=>7
[1,3,2,8,5,4,6,7]=>0101001=>7
[8,3,1,5,7,2,6,4]=>0100111=>7
[8,4,5,1,7,2,6,3]=>0001111=>7
[1,5,6,8,7,4,2,3]=>0010011=>7
[8,4,5,7,6,3,2,1]=>1100111=>7
[1,4,8,5,7,6,2,3]=>0000111=>7
[2,4,8,5,7,3,6,1]=>0000111=>7
[4,3,8,6,5,7,2,1]=>1010111=>7
[6,7,2,8,5,3,4,1]=>0011011=>7
[5,2,7,8,6,3,4,1]=>0011101=>7
[4,2,8,6,7,3,5,1]=>0011011=>7
[3,2,8,7,5,4,6,1]=>0101111=>7
[3,1,8,7,5,6,2,4]=>0100111=>7
[4,1,8,6,7,5,2,3]=>0011011=>7
[5,1,7,8,6,4,2,3]=>0011101=>7
[6,7,1,8,5,4,2,3]=>0011011=>7
[7,8,3,2,6,1,4,5]=>0100101=>7
[3,4,8,2,6,1,7,5]=>0000111=>7
[7,8,4,1,5,6,3,2]=>0110101=>7
[7,8,1,4,5,6,3,2]=>0100101=>7
[7,8,1,2,6,3,4,5]=>0000101=>7
[7,8,5,1,4,6,3,2]=>0101101=>7
[7,8,4,5,1,6,3,2]=>0101101=>7
[5,3,8,4,1,6,7,2]=>0011011=>7
[6,2,4,8,1,5,3,7]=>0001101=>7
[3,4,8,5,1,6,7,2]=>0001011=>7
[3,5,8,1,4,6,7,2]=>0000011=>7
[1,4,8,2,6,3,7,5]=>0000111=>7
[5,3,8,1,4,6,7,2]=>0001011=>7
[4,2,6,8,1,5,3,7]=>0011001=>7
[7,4,2,8,1,5,3,6]=>0011011=>7
[6,1,7,5,8,4,3,2]=>0110111=>7
[6,2,1,8,4,5,3,7]=>1001101=>7
[1,2,7,8,5,3,4,6]=>0001001=>7
[6,3,7,8,5,4,1,2]=>0011101=>7
[6,1,5,7,8,4,3,2]=>0110101=>7
[1,7,5,6,8,4,3,2]=>0110011=>7
[3,1,8,4,5,6,7,2]=>0100011=>7
[2,1,4,8,6,5,3,7]=>1001101=>7
[2,4,1,8,6,5,3,7]=>0011101=>7
[4,2,1,8,6,5,3,7]=>1011101=>7
[3,2,7,8,5,1,4,6]=>0101001=>7
[2,3,7,8,5,1,4,6]=>0001001=>7
[2,7,3,8,5,1,4,6]=>0001011=>7
[3,6,2,8,5,1,4,7]=>0001101=>7
[4,1,2,8,7,5,3,6]=>0011011=>7
[1,4,2,8,7,5,3,6]=>0011011=>7
[7,3,6,8,5,4,1,2]=>0011011=>7
[7,2,1,8,5,3,4,6]=>1001011=>7
[1,2,6,8,4,5,3,7]=>0001001=>7
[7,1,6,5,8,4,3,2]=>0110111=>7
[6,5,7,1,8,4,3,2]=>0110111=>7
[5,7,6,1,8,4,3,2]=>0110111=>7
[6,7,1,5,8,4,3,2]=>0110011=>7
[6,7,3,8,5,4,1,2]=>0011011=>7
[7,1,2,8,4,5,3,6]=>0001011=>7
[7,6,1,5,8,4,3,2]=>0110111=>7
[7,5,6,1,8,4,3,2]=>0110111=>7
[9,10,7,8,5,6,2,1,3,4]=>100010101=>9
[9,10,7,8,4,3,5,6,1,2]=>001010101=>9
[9,10,7,8,4,2,5,1,3,6]=>001100101=>9
[9,10,7,8,3,2,1,4,5,6]=>110000101=>9
[9,10,6,5,7,8,3,4,1,2]=>001010101=>9
[9,10,6,5,7,8,2,1,3,4]=>100010101=>9
[9,10,6,4,7,3,5,8,1,2]=>000011101=>9
[9,10,6,4,7,2,5,1,3,8]=>000111001=>9
[9,10,6,3,7,2,1,4,5,8]=>100011001=>9
[9,10,5,4,3,6,7,8,1,2]=>001100101=>9
[9,10,5,4,2,6,7,1,3,8]=>001101001=>9
[9,10,5,3,2,6,1,4,7,8]=>010110001=>9
[9,10,4,3,2,1,5,6,7,8]=>111000001=>9
[8,7,9,10,5,6,3,4,1,2]=>001010101=>9
[8,7,9,10,5,6,2,1,3,4]=>100010101=>9
[8,7,9,10,4,3,5,6,1,2]=>001010101=>9
[8,7,9,10,4,2,5,1,3,6]=>001100101=>9
[8,7,9,10,3,2,1,4,5,6]=>110000101=>9
[8,6,9,5,7,10,3,4,1,2]=>001000111=>9
[8,6,9,5,7,10,2,1,3,4]=>100000111=>9
[8,6,9,4,7,3,5,10,1,2]=>000001111=>9
[8,6,9,3,7,2,1,4,5,10]=>100001110=>9
[8,5,9,4,3,6,7,10,1,2]=>001000111=>9
[8,5,9,4,2,6,7,1,3,10]=>001001110=>9
[8,5,9,3,2,6,1,4,7,10]=>010010110=>9
[8,4,9,3,2,1,5,6,7,10]=>110000110=>9
[7,6,5,8,9,10,3,4,1,2]=>001011001=>9
[7,6,5,8,9,10,2,1,3,4]=>100011001=>9
[7,6,4,8,9,3,5,10,1,2]=>000011011=>9
[7,6,4,8,9,2,5,1,3,10]=>000111010=>9
[7,6,3,8,9,2,1,4,5,10]=>100011010=>9
[7,5,4,8,3,6,9,10,1,2]=>000101101=>9
[7,5,4,8,2,6,9,1,3,10]=>000101110=>9
[7,4,3,8,2,1,5,6,9,10]=>101001100=>9
[6,5,4,3,7,8,9,10,1,2]=>001110001=>9
[6,5,4,2,7,8,9,1,3,10]=>001110010=>9
[6,5,3,2,7,8,1,4,9,10]=>010110100=>9
[7,1,6,5,3,2,4,8]=>0101110=>7
[1,8,7,5,3,2,4,6]=>0101011=>7
[1,8,7,4,2,5,3,6]=>0011011=>7
[8,7,4,2,5,3,6,1]=>0011111=>7
[7,1,6,4,2,5,3,8]=>0011110=>7
[2,6,5,4,7,1,3,8]=>0001110=>7
[7,1,5,3,6,4,2,8]=>0011110=>7
[5,3,7,1,6,4,2,8]=>0011110=>7
[5,3,6,4,2,7,1,8]=>0011110=>7
[1,5,3,8,7,4,2,6]=>0011011=>7
[7,4,2,8,6,3,5,1]=>0011111=>7
[5,3,6,1,8,7,4,2]=>0011111=>7
[6,1,5,3,8,7,4,2]=>0011111=>7
[2,8,7,5,4,6,1,3]=>0001111=>7
[2,3,1,8,7,5,4,6]=>0101011=>7
[5,3,8,7,4,2,1,6]=>1011011=>7
[7,4,2,1,8,6,3,5]=>1010111=>7
[8,6,3,5,7,4,2,1]=>1010111=>7
[1,8,6,3,5,7,4,2]=>0010111=>7
[6,3,8,5,2,1,7,4]=>1001111=>7
[8,6,3,7,4,2,1,5]=>1010111=>7
[2,8,6,4,7,5,1,3]=>0001111=>7
[5,1,8,6,3,7,4,2]=>0011111=>7
[6,3,7,4,1,8,5,2]=>0011111=>7
[8,5,2,6,3,7,4,1]=>0011111=>7
[6,1,8,7,4,2,5,3]=>0011111=>7
[8,6,3,7,4,2,5,1]=>0011111=>7
[1,8,6,3,2,4,7,5]=>0100111=>7
[8,6,3,2,4,7,5,1]=>0101111=>7
[7,5,1,8,6,3,2,4]=>0101111=>7
[6,1,8,7,5,3,2,4]=>0101111=>7
[4,3,2,8,7,6,1,5]=>0110111=>7
[2,4,5,1,3,8,7,6]=>0001011=>7
[7,5,8,6,3,2,4,1]=>0110111=>7
[1,7,5,8,6,3,2,4]=>0100111=>7
[1,7,4,2,5,8,6,3]=>0010111=>7
[8,6,3,1,7,4,2,5]=>0110111=>7
[8,7,4,2,5,3,1,6]=>0111011=>7
[5,3,1,8,7,4,2,6]=>0111011=>7
[4,1,8,7,5,3,2,6]=>0111011=>7
[2,8,6,4,1,3,7,5]=>0010111=>7
[4,1,8,6,3,2,7,5]=>0110111=>7
[7,4,2,8,6,3,1,5]=>0110111=>7
[6,3,1,8,5,2,7,4]=>0101111=>7
[8,5,2,6,3,1,7,4]=>0101111=>7
[7,4,8,5,2,6,3,1]=>0101111=>7
[1,8,5,2,7,4,6,3]=>0001111=>7
[8,5,2,7,4,6,3,1]=>0101111=>7
[7,4,6,3,1,8,5,2]=>0101111=>7
[6,3,1,7,4,8,5,2]=>0101111=>7
[8,6,3,1,5,7,4,2]=>0110111=>7
[4,1,7,5,8,6,3,2]=>0110111=>7
[2,3,1,7,5,8,6,4]=>0100111=>7
[7,4,8,5,2,1,6,3]=>1001111=>7
[8,5,2,1,7,4,6,3]=>1001111=>7
[1,7,4,6,3,8,5,2]=>0001111=>7
[3,6,5,2,1,4,8,7]=>1001101=>7
[3,5,6,2,1,4,8,7]=>1000101=>7
[3,5,7,8,1,4,2,6]=>0010001=>7
[4,1,8,5,7,3,2,6]=>0110011=>7
[4,1,7,5,8,3,2,6]=>0110011=>7
[2,1,5,8,7,4,3,6]=>1010011=>7
[2,1,5,7,8,4,3,6]=>1010001=>7
[5,1,7,4,8,3,2,6]=>0101011=>7
[4,7,2,8,3,6,1,5]=>0000111=>7
[4,6,2,7,3,1,8,5]=>0100111=>7
[3,7,8,2,4,1,6,5]=>0010101=>7
[3,8,7,2,4,1,6,5]=>0010111=>7
[3,8,6,2,4,1,7,5]=>0010111=>7
[1,3,2,7,6,5,10,9,8,4]=>010011111=>9
[1,4,3,6,5,2,10,9,8,7]=>001110111=>9
[1,4,3,7,6,2,10,9,8,5]=>001011111=>9
[1,5,4,7,6,3,10,9,8,2]=>000111111=>9
[1,4,3,8,7,2,10,9,6,5]=>001011111=>9
[1,5,4,8,7,3,10,9,6,2]=>000111111=>9
[2,3,1,6,5,4,10,9,8,7]=>010110111=>9
[2,3,1,7,6,5,10,9,8,4]=>010011111=>9
[2,4,1,6,5,3,10,9,8,7]=>001110111=>9
[2,4,1,7,6,3,10,9,8,5]=>001011111=>9
[2,5,1,7,6,4,10,9,8,3]=>000111111=>9
[2,4,1,8,7,3,10,9,6,5]=>001011111=>9
[2,5,1,8,7,4,10,9,6,3]=>000111111=>9
[3,4,2,6,5,1,10,9,8,7]=>001110111=>9
[3,4,2,7,6,1,10,9,8,5]=>001011111=>9
[3,5,2,7,6,1,10,9,8,4]=>000111111=>9
[4,5,3,7,6,2,10,9,8,1]=>000111111=>9
[3,4,2,8,7,1,10,9,6,5]=>001011111=>9
[3,5,2,8,7,1,10,9,6,4]=>000111111=>9
[4,5,3,8,7,2,10,9,6,1]=>000111111=>9
[2,5,1,6,4,3,10,9,8,7]=>001110111=>9
[2,5,1,7,4,3,10,9,8,6]=>001101111=>9
[2,6,1,7,5,4,10,9,8,3]=>000111111=>9
[2,5,1,8,4,3,10,9,7,6]=>001101111=>9
[2,6,1,8,5,4,10,9,7,3]=>000111111=>9
[3,5,2,6,4,1,10,9,8,7]=>001110111=>9
[3,5,2,7,4,1,10,9,8,6]=>001101111=>9
[3,6,2,7,5,1,10,9,8,4]=>000111111=>9
[4,6,3,7,5,2,10,9,8,1]=>000111111=>9
[3,5,2,8,4,1,10,9,7,6]=>001101111=>9
[3,6,2,8,5,1,10,9,7,4]=>000111111=>9
[4,6,3,8,5,2,10,9,7,1]=>000111111=>9
[3,7,2,8,6,1,10,9,5,4]=>000111111=>9
[4,7,3,8,6,2,10,9,5,1]=>000111111=>9
[2,5,1,9,4,3,10,8,7,6]=>001101111=>9
[2,6,1,9,5,4,10,8,7,3]=>000111111=>9
[3,5,2,9,4,1,10,8,7,6]=>001101111=>9
[3,6,2,9,5,1,10,8,7,4]=>000111111=>9
[4,6,3,9,5,2,10,8,7,1]=>000111111=>9
[3,7,2,9,6,1,10,8,5,4]=>000111111=>9
[6,2,8,4,1,7,3,5]=>0010111=>7
[7,3,4,8,1,6,2,5]=>0000111=>7
[6,3,4,8,1,7,2,5]=>0000111=>7
[5,3,4,8,1,2,7,6]=>0001011=>7
[4,3,5,8,1,2,7,6]=>0010011=>7
[1,8,5,4,2,3,7,6]=>0011011=>7
[3,5,4,8,1,2,7,6]=>0001011=>7
[4,5,3,8,1,2,7,6]=>0001011=>7
[6,4,3,8,1,7,2,5]=>0010111=>7
[7,4,3,8,1,6,2,5]=>0010111=>7
[6,5,3,8,7,1,2,4]=>0001111=>7
[5,6,3,8,7,1,2,4]=>0000111=>7
[4,6,3,8,1,7,2,5]=>0000111=>7
[2,6,8,4,1,7,3,5]=>0010011=>7
[1,8,7,4,2,6,3,5]=>0010111=>7
[5,7,3,8,6,1,2,4]=>0000111=>7
[3,7,5,8,6,1,2,4]=>0000111=>7
[2,7,8,5,6,1,3,4]=>0000101=>7
[1,8,7,5,6,2,3,4]=>0000111=>7
[2,6,8,5,7,1,3,4]=>0000011=>7
[5,3,6,8,7,1,2,4]=>0001011=>7
[6,3,5,8,7,1,2,4]=>0000111=>7
[7,2,8,5,6,1,3,4]=>0000111=>7
[5,2,8,6,7,1,3,4]=>0001011=>7
[1,8,3,2,7,6,4,5]=>0100111=>7
[5,2,8,7,6,1,3,4]=>0001111=>7
[6,2,8,7,5,1,3,4]=>0001111=>7
[3,4,7,8,1,6,2,5]=>0000101=>7
[1,8,5,7,6,2,3,4]=>0000111=>7
[2,5,8,7,6,1,3,4]=>0000111=>7
[7,4,6,5,8,1,2,3]=>0000111=>7
[3,6,7,8,5,1,2,4]=>0001001=>7
[2,6,8,7,5,1,3,4]=>0001011=>7
[1,8,6,7,5,2,3,4]=>0001011=>7
[2,7,8,6,5,1,3,4]=>0001101=>7
[5,7,6,4,8,1,2,3]=>0000111=>7
[6,3,8,7,5,1,2,4]=>0001111=>7
[2,8,7,4,1,3,5,6]=>0010011=>7
[5,4,8,7,1,3,2,6]=>0101011=>7
[4,8,6,1,3,2,5,7]=>0100101=>7
[5,4,2,7,6,8,1,3]=>0011011=>7
[2,8,7,1,4,5,3,6]=>0001011=>7
[4,2,1,8,7,3,5,6]=>1010011=>7
[5,1,6,3,2,8,7,4]=>0101111=>7
[4,6,1,8,7,3,2,5]=>0100111=>7
[8,7,2,3,5,4,1,6]=>0011011=>7
[5,3,1,4,8,7,2,6]=>0101011=>7
[4,3,5,2,8,7,1,6]=>0011011=>7
[3,4,2,8,6,1,5,7]=>0010101=>7
[3,7,6,8,1,5,2,4]=>0001011=>7
[8,1,4,2,3,6,7,5]=>0010011=>7
[3,7,2,1,8,6,4,5]=>1000111=>7
[2,8,6,1,7,3,5,4]=>0001111=>7
[1,7,6,3,5,8,2,4]=>0000111=>7
[3,7,5,1,6,8,2,4]=>0001011=>7
[3,6,5,8,1,4,7,2]=>0000111=>7
[8,1,5,6,4,7,2,3]=>0000111=>7
[3,6,7,4,1,8,2,5]=>0010011=>7
[1,7,4,6,8,2,5,3]=>0001011=>7
[7,5,8,2,6,3,1,4]=>0100111=>7
[2,7,1,6,5,4,8,3]=>0001111=>7
[7,3,2,6,1,8,5,4]=>0101111=>7
[6,4,7,2,3,1,8,5]=>0100111=>7
[5,3,1,8,4,6,2,7]=>0101101=>7
[3,8,1,6,7,4,2,5]=>0010011=>7
[2,7,4,3,6,8,1,5]=>0010011=>7
[2,8,4,6,1,5,3,7]=>0001101=>7
[8,4,1,6,3,2,5,7]=>0110101=>7
[4,7,3,8,5,2,1,6]=>1001011=>7
[3,1,7,4,8,5,2,6]=>0101011=>7
[7,4,1,6,3,2,8,5]=>0110111=>7
[3,8,6,2,7,4,1,5]=>0010111=>7
[7,3,1,4,5,2,8,6]=>0101011=>7
[6,1,4,8,5,3,2,7]=>0101101=>7
[8,1,2,4,6,7,5,3]=>0001011=>7
[8,1,3,6,7,5,4,2]=>0011011=>7
[7,5,2,3,8,6,1,4]=>0001111=>7
[8,6,2,4,1,3,7,5]=>0010111=>7
[4,7,5,1,8,6,3,2]=>0101111=>7
[4,7,3,2,8,5,6,1]=>0100111=>7
[8,4,5,7,6,1,3,2]=>0100111=>7
[7,5,8,4,2,3,6,1]=>0010111=>7
[3,8,4,6,1,7,5,2]=>0001111=>7
[3,7,4,6,5,2,8,1]=>0001111=>7
[4,2,7,6,1,5,8,3]=>0010111=>7
[8,3,1,4,5,7,6,2]=>0100111=>7
[3,5,1,6,8,4,7,2]=>0001011=>7
[6,1,5,7,3,8,4,2]=>0010111=>7
[5,8,4,7,3,2,6,1]=>0100111=>7
[7,2,6,5,8,4,1,3]=>0010111=>7
[8,3,2,5,1,6,7,4]=>0101011=>7
[2,6,8,3,7,4,1,5]=>0010011=>7
[8,1,5,6,4,7,3,2]=>0100111=>7
[2,5,8,1,6,4,7,3]=>0000111=>7
[7,4,1,8,3,2,6,5]=>0110111=>7
[8,3,7,4,2,1,6,5]=>1010111=>7
[5,2,6,8,3,1,7,4]=>0101011=>7
[3,6,5,8,4,1,7,2]=>0010111=>7
[7,3,6,1,8,4,5,2]=>0001111=>7
[8,2,7,3,4,6,5,1]=>0001111=>7
[7,3,8,2,5,6,4,1]=>0010111=>7
[5,7,3,1,6,4,8,2]=>0100111=>7
[6,1,3,2,4,8,7,5]=>0100111=>7
[8,7,4,2,3,6,1,5]=>0010111=>7
[8,7,1,5,4,2,3,6]=>0011011=>7
[3,7,1,5,2,8,6,4]=>0001111=>7
[8,7,2,5,4,1,3,6]=>0011011=>7
[8,7,2,5,3,1,4,6]=>0101011=>7
[5,2,8,7,1,4,3,6]=>0011011=>7
[7,1,8,6,2,4,3,5]=>0010111=>7
[8,1,6,2,7,5,3,4]=>0001111=>7
[7,1,6,2,8,5,3,4]=>0001111=>7
[6,3,4,1,7,2,8,5]=>0010111=>7
[7,2,4,3,5,1,8,6]=>0011011=>7
[5,1,7,2,3,8,6,4]=>0001111=>7
[8,2,3,5,1,7,6,4]=>0001111=>7
[7,6,3,1,4,8,2,5]=>0100111=>7
[6,1,8,2,7,5,3,4]=>0001111=>7
[7,2,8,1,6,5,3,4]=>0001111=>7
[7,2,6,4,3,8,1,5]=>0010111=>7
[5,1,7,4,3,8,2,6]=>0011011=>7
[5,3,1,7,4,8,2,6]=>0101011=>7
[7,4,8,2,1,5,3,6]=>1001011=>7
[8,2,4,1,6,3,7,5]=>0010111=>7
[8,2,7,5,1,6,4,3]=>0011111=>7
[6,1,7,3,2,8,5,4]=>0101111=>7
[4,7,2,1,6,3,8,5]=>1000111=>7
[6,2,1,5,3,8,4,7]=>1001101=>7
[5,3,1,6,2,8,4,7]=>0101101=>7
[6,1,5,2,8,4,3,7]=>0011101=>7
[7,4,3,8,1,5,2,6]=>0011011=>7
[7,4,8,1,5,3,2,6]=>0101011=>7
[6,1,5,3,2,8,4,7]=>0101101=>7
[6,3,2,8,4,1,5,7]=>0110101=>7
[7,3,4,2,8,5,1,6]=>0011011=>7
[7,1,6,3,4,2,8,5]=>0010111=>7
[8,5,1,3,7,4,2,6]=>0011011=>7
[3,8,6,1,5,2,7,4]=>0001111=>7
[8,6,1,3,7,5,2,4]=>0001111=>7
[4,8,5,6,1,7,3,2]=>0100111=>7
[6,7,1,3,8,5,2,4]=>0001011=>7
[3,6,7,1,5,2,8,4]=>0001011=>7
[7,1,3,8,4,2,6,5]=>0010111=>7
[5,6,2,7,1,3,8,4]=>0000111=>7
[5,6,2,8,1,3,7,4]=>0000111=>7
[6,1,8,3,7,5,2,4]=>0001111=>7
[7,4,2,1,5,8,3,6]=>1010011=>7
[7,4,1,5,8,3,2,6]=>0110011=>7
[7,3,2,6,4,8,1,5]=>0100111=>7
[6,4,2,7,3,8,1,5]=>0010111=>7
[5,1,8,3,7,4,2,6]=>0011011=>7
[7,4,8,3,1,5,2,6]=>0101011=>7
[5,2,1,7,4,8,3,6]=>1001011=>7
[6,1,8,4,5,2,7,3]=>0001111=>7
[7,1,6,4,5,2,8,3]=>0001111=>7
[3,5,2,7,1,6,8,4]=>0001011=>7
[4,5,7,3,1,6,8,2]=>0100011=>7
[4,5,7,2,8,6,1,3]=>0000111=>7
[3,5,1,7,2,6,8,4]=>0001011=>7
[4,5,7,2,8,1,3,6]=>0000011=>7
[4,6,7,2,1,5,8,3]=>1000011=>7
[4,6,7,1,3,8,5,2]=>0001011=>7
[3,6,1,5,7,8,4,2]=>0010101=>7
[4,6,7,1,5,8,3,2]=>0100011=>7
[6,1,3,7,4,8,5,2]=>0001111=>7
[3,2,1,7,4,8,5,6]=>1100011=>7
[4,1,5,2,7,6,3,8]=>0011110=>7
[2,5,1,3,7,6,4,8]=>0001110=>7
[2,5,1,4,3,8,6,7]=>0011001=>7
[3,7,2,1,5,8,6,4]=>1000111=>7
[6,2,7,1,4,8,5,3]=>0001111=>7
[3,7,4,2,1,8,5,6]=>1010011=>7
[7,2,5,3,1,8,6,4]=>0101111=>7
[7,5,1,4,2,8,6,3]=>0011111=>7
[7,5,4,1,3,8,6,2]=>0011111=>7
[5,3,2,1,7,6,4,8]=>1101110=>7
[6,3,2,8,1,5,7,4]=>0100111=>7
[7,4,3,2,8,1,6,5]=>0110111=>7
[7,6,2,4,8,3,5,1]=>0001111=>7
[7,3,6,4,8,1,5,2]=>0001111=>7
[2,7,5,3,8,1,4,6]=>0001011=>7
[1,8,5,3,6,4,2,7]=>0011101=>7
[8,6,2,3,7,5,4,1]=>0011111=>7
[8,6,3,2,7,5,4,1]=>0111111=>7
[8,3,2,7,1,6,4,5]=>0100111=>7
[7,2,6,1,5,4,3,8]=>0011110=>7
[8,5,7,4,3,6,2,1]=>1010111=>7
[8,5,7,2,4,6,3,1]=>0100111=>7
[8,4,6,7,1,3,2,5]=>0100011=>7
[2,8,5,6,1,4,3,7]=>0010101=>7
[7,2,6,8,4,1,5,3]=>0011011=>7
[7,6,4,8,3,2,5,1]=>0101111=>7
[6,5,8,1,4,2,7,3]=>0010111=>7
[6,5,8,4,1,3,7,2]=>0010111=>7
[5,4,8,3,2,1,7,6]=>1101011=>7
[4,3,7,2,1,6,5,8]=>1010110=>7
[2,5,8,1,4,3,7,6]=>0010011=>7
[3,6,8,2,1,5,7,4]=>1000011=>7
[5,7,4,8,1,3,6,2]=>0000111=>7
[5,7,1,4,8,2,6,3]=>0000111=>7
[2,7,4,1,8,3,6,5]=>0010111=>7
[3,5,1,8,4,2,7,6]=>0011011=>7
[4,1,5,7,3,6,2,8]=>0010110=>7
[4,2,5,8,3,1,7,6]=>0110011=>7
[6,1,2,7,8,3,5,4]=>0001101=>7
[5,3,1,8,6,4,2,7]=>0111101=>7
[3,1,8,4,7,5,2,6]=>0101011=>7
[4,2,8,7,3,5,1,6]=>0011011=>7
[4,8,1,7,6,2,3,5]=>0000111=>7
[6,8,1,4,7,5,2,3]=>0001011=>7
[7,3,8,1,6,4,2,5]=>0010111=>7
[4,7,8,1,5,3,2,6]=>0101001=>7
[7,1,8,6,2,5,3,4]=>0001111=>7
[5,8,7,1,3,6,4,2]=>0010111=>7
[3,8,7,2,1,6,4,5]=>1000111=>7
[2,8,7,1,6,3,5,4]=>0001111=>7
[3,7,6,1,5,4,2,8]=>0011110=>7
[4,8,7,6,1,3,5,2]=>0001111=>7
[5,8,7,2,6,1,4,3]=>0010111=>7
[6,8,1,7,5,2,4,3]=>0011011=>7
[7,3,8,6,5,1,2,4]=>0001111=>7
[5,7,8,4,3,1,2,6]=>0110001=>7
[5,8,6,4,3,2,1,7]=>1110101=>7
[8,7,3,6,4,2,1,5]=>1010111=>7
[6,1,4,2,5,3,7,8]=>0011100=>7
[1,3,7,5,4,2,8,6]=>0011011=>7
[6,1,3,5,4,2,7,8]=>0011100=>7
[6,1,2,5,4,7,3,8]=>0001110=>7
[5,1,6,3,4,7,8,2]=>0001101=>7
[5,2,6,3,4,7,1,8]=>0001110=>7
[3,4,7,5,8,6,1,2]=>0000111=>7
[2,4,7,1,5,3,8,6]=>0001011=>7
[2,3,6,7,4,8,1,5]=>0000011=>7
[1,3,6,7,4,8,5,2]=>0001011=>7
[2,7,6,5,3,1,8,4]=>0101111=>7
[5,2,6,1,4,7,8,3]=>0001101=>7
[4,7,6,5,2,1,8,3]=>1001111=>7
[5,3,6,2,4,1,7,8]=>0011100=>7
[5,7,4,2,1,3,6,8]=>1010010=>7
[6,3,1,5,4,7,8,2]=>0101101=>7
[5,3,6,1,4,2,7,8]=>0011100=>7
[1,7,4,2,6,3,8,5]=>0010111=>7
[5,7,4,1,2,3,6,8]=>0010010=>7
[6,4,1,2,5,3,7,8]=>0011100=>7
[4,7,6,3,8,5,1,2]=>0001111=>7
[3,7,6,5,2,8,1,4]=>0001111=>7
[3,7,6,5,1,2,8,4]=>0001111=>7
[4,7,2,6,1,3,8,5]=>0000111=>7
[2,7,1,6,8,3,5,4]=>0001011=>7
[2,7,6,5,8,1,4,3]=>0010111=>7
[9,1,2,3,4,5,6,8,7]=>00000011=>8
[10,1,2,3,4,5,6,7,9,8]=>000000011=>9
[9,1,2,3,4,5,7,8,6]=>00000011=>8
[2,3,4,5,6,9,7,8,1]=>00000011=>8
[2,3,4,5,6,7,8,10,9,1]=>000000011=>9
[9,2,1,8,7,6,5,4,3]=>10111111=>8
[3,2,10,9,8,7,6,5,4,1]=>011111111=>9
[3,9,2,8,7,6,5,4,1]=>00111111=>8
[4,2,9,8,7,6,5,3,1]=>01111111=>8
[5,2,8,7,6,4,3,1]=>0111111=>7
[8,2,7,6,1,5,4,3]=>0011111=>7
[9,2,8,1,7,6,5,4,3]=>00111111=>8
[8,4,1,7,6,5,3,2]=>0111111=>7
[9,3,1,8,7,6,5,4,2]=>01111111=>8
[10,2,1,9,8,7,6,5,4,3]=>101111111=>9
[4,5,6,2,3,8,1,7]=>0000101=>7
[4,5,3,2,7,8,1,6]=>0101001=>7
[6,5,7,3,8,4,2,1]=>1010111=>7
[6,8,7,2,4,3,5,1]=>0011011=>7
[3,2,7,4,5,8,1,6]=>0100011=>7
[6,8,1,5,2,4,3,7]=>0011001=>7
[8,3,4,6,1,5,2,7]=>0001101=>7
[2,3,4,7,5,8,1,6]=>0000011=>7
[6,3,4,7,8,2,5,1]=>0001101=>7
[5,3,7,4,8,6,1,2]=>0001111=>7
[8,3,6,4,1,7,2,5]=>0010111=>7
[1,3,7,4,8,6,2,5]=>0000111=>7
[3,7,8,5,4,1,2,6]=>0011001=>7
[5,4,3,1,7,8,2,6]=>0111001=>7
[5,7,6,2,8,4,1,3]=>0010111=>7
[6,1,7,5,8,3,4,2]=>0010111=>7
[7,5,6,4,1,3,8,2]=>0010111=>7
[1,5,6,8,4,7,3,2]=>0100011=>7
[4,1,3,7,6,5,8,2]=>0010111=>7
[3,4,1,7,5,8,6,2]=>0010111=>7
[8,5,7,4,3,1,6,2]=>0110111=>7
[6,8,5,1,7,2,4,3]=>0011011=>7
[8,2,4,1,3,7,6,5]=>0010111=>7
[7,8,3,6,2,1,4,5]=>1000101=>7
[8,1,7,4,2,3,6,5]=>0010111=>7
[1,8,7,2,3,5,6,4]=>0000111=>7
[2,8,3,1,6,7,5,4]=>0101011=>7
[8,2,3,1,5,7,6,4]=>0100111=>7
[3,8,4,1,2,7,6,5]=>0010111=>7
[5,4,7,2,3,6,8,1]=>0001011=>7
[6,3,2,1,8,4,7,5]=>1100111=>7
[2,3,7,4,1,8,5,6]=>0010011=>7
[6,4,1,3,2,7,8,5]=>0110101=>7
[2,7,8,5,1,3,6,4]=>0001101=>7
[8,2,5,6,7,1,3,4]=>0000011=>7
[2,8,5,4,7,6,1,3]=>0001111=>7
[6,7,1,5,8,2,4,3]=>0010011=>7
[4,8,7,6,2,3,5,1]=>0001111=>7
[7,8,1,5,3,2,6,4]=>0101101=>7
[6,5,7,3,8,2,1,4]=>1000111=>7
[8,1,4,7,2,5,6,3]=>0000111=>7
[7,3,4,6,1,5,8,2]=>0000111=>7
[8,3,4,5,7,1,6,2]=>0000111=>7
[4,2,6,8,3,1,5,7]=>0110001=>7
[3,7,6,2,4,5,1,8]=>0001110=>7
[2,3,6,5,8,1,4,7]=>0000101=>7
[2,3,5,8,6,1,4,7]=>0000101=>7
[4,2,3,8,6,1,5,7]=>0010101=>7
[6,4,1,2,8,3,5,7]=>0010101=>7
[1,2,3,7,4,6,8,5]=>0000011=>7
[3,2,7,1,4,5,8,6]=>0100011=>7
[2,1,5,3,8,7,4,6]=>1001011=>7
[5,8,3,2,4,1,6,7]=>0110001=>7
[4,2,7,1,8,3,5,6]=>0010011=>7
[4,1,8,2,7,3,5,6]=>0010011=>7
[1,2,7,5,3,8,4,6]=>0001011=>7
[3,2,7,1,4,8,5,6]=>0100011=>7
[1,2,3,7,6,8,4,5]=>0000011=>7
[1,2,3,6,8,7,4,5]=>0000011=>7
[1,2,3,7,8,4,6,5]=>0000101=>7
[1,2,3,6,8,4,7,5]=>0000011=>7
[1,2,3,7,8,6,4,5]=>0000101=>7
[6,2,8,3,7,5,1,4]=>0001111=>7
[4,2,8,3,7,5,6,1]=>0010111=>7
[7,3,4,8,6,5,1,2]=>0001111=>7
[5,3,4,8,7,2,6,1]=>0001111=>7
[4,3,5,8,7,2,6,1]=>0010111=>7
[4,6,3,8,5,7,2,1]=>1000111=>7
[7,5,3,8,6,2,4,1]=>0011111=>7
[2,6,8,3,7,4,5,1]=>0001011=>7
[1,8,4,3,7,5,6,2]=>0010111=>7
[2,5,8,3,7,4,6,1]=>0000111=>7
[7,4,3,8,6,2,5,1]=>0011111=>7
[3,5,4,8,7,2,6,1]=>0001111=>7
[4,5,3,8,6,7,2,1]=>1001011=>7
[3,6,7,8,4,5,2,1]=>1001001=>7
[2,6,8,5,4,7,3,1]=>0101011=>7
[1,8,5,6,4,7,3,2]=>0100111=>7
[2,5,8,6,4,7,3,1]=>0100111=>7
[7,4,6,5,8,3,2,1]=>1100111=>7
[6,3,7,8,4,5,2,1]=>1001101=>7
[4,3,7,8,5,6,2,1]=>1010101=>7
[5,2,8,6,4,7,3,1]=>0101111=>7
[4,2,8,6,5,7,3,1]=>0110111=>7
[3,2,8,6,7,4,5,1]=>0101011=>7
[2,3,8,7,5,4,6,1]=>0001111=>7
[1,8,2,7,4,5,6,3]=>0000111=>7
[7,2,8,6,3,4,5,1]=>0001111=>7
[6,2,8,4,5,7,3,1]=>0100111=>7
[5,2,8,4,6,7,3,1]=>0101011=>7
[4,2,8,5,6,7,3,1]=>0110011=>7
[4,3,6,8,5,7,2,1]=>1010011=>7
[3,4,6,8,7,2,5,1]=>0001011=>7
[7,3,5,8,6,2,4,1]=>0010111=>7
[1,8,3,5,7,4,6,2]=>0000111=>7
[2,7,8,4,5,6,3,1]=>0100101=>7
[3,7,5,8,4,6,2,1]=>1000111=>7
[5,7,4,6,8,3,2,1]=>1100011=>7
[3,6,5,8,4,7,2,1]=>1000111=>7
[2,6,8,4,5,7,3,1]=>0100011=>7
[4,2,7,1,3,8,5,6]=>0010011=>7
[4,2,5,1,3,8,6,7]=>0011001=>7
[5,3,6,1,7,2,4,8]=>0001110=>7
[3,7,1,2,5,8,6,4]=>0000111=>7
[3,7,4,1,2,8,5,6]=>0010011=>7
[7,5,1,3,4,8,6,2]=>0001111=>7
[7,5,1,2,4,8,6,3]=>0001111=>7
[6,4,2,3,7,1,5,8]=>0010110=>7
[7,6,3,8,1,2,5,4]=>0001111=>7
[7,4,2,3,8,1,6,5]=>0010111=>7
[4,7,5,2,8,1,3,6]=>0001011=>7
[8,2,6,3,7,1,4,5]=>0000111=>7
[8,6,1,2,7,4,5,3]=>0001111=>7
[8,4,7,1,2,3,6,5]=>0000111=>7
[8,5,7,1,2,4,6,3]=>0000111=>7
[8,5,7,1,3,4,6,2]=>0000111=>7
[8,6,2,7,1,3,5,4]=>0001111=>7
[3,8,5,6,1,2,4,7]=>0000101=>7
[3,7,5,8,1,2,4,6]=>0000011=>7
[7,6,4,8,1,3,5,2]=>0001111=>7
[6,5,8,1,2,4,7,3]=>0000111=>7
[3,6,8,1,2,5,7,4]=>0000011=>7
[3,7,2,4,8,1,6,5]=>0000111=>7
[4,6,3,8,1,2,5,7]=>0000101=>7
[4,6,3,7,1,2,5,8]=>0000110=>7
[4,1,7,8,2,3,6,5]=>0010101=>7
[5,1,2,8,6,3,4,7]=>0001101=>7
[5,3,8,1,6,2,4,7]=>0001101=>7
[6,1,8,5,2,3,4,7]=>0001101=>7
[6,1,7,5,2,3,4,8]=>0001110=>7
[6,8,1,3,7,4,5,2]=>0001011=>7
[7,2,8,1,6,3,4,5]=>0000111=>7
[4,7,8,2,5,1,3,6]=>0001001=>7
[6,8,2,7,1,4,5,3]=>0001011=>7
[4,8,7,1,3,5,6,2]=>0000111=>7
[3,8,7,1,2,4,6,5]=>0000111=>7
[4,8,7,1,2,3,6,5]=>0000111=>7
[5,8,7,1,2,4,6,3]=>0000111=>7
[5,8,7,1,3,4,6,2]=>0000111=>7
[7,1,8,6,2,3,5,4]=>0001111=>7
[5,8,6,4,1,2,3,7]=>0010101=>7
[7,8,4,1,2,5,3,6]=>0011001=>7
[7,8,1,2,6,5,3,4]=>0001101=>7
[1,4,8,2,7,5,3,6]=>0001011=>7
[6,1,3,4,7,2,5,8]=>0000110=>7
[7,8,2,1,6,3,5,4]=>1001101=>7
[6,1,2,7,5,4,3,8]=>0011110=>7
[1,2,8,7,5,4,3,6]=>0011011=>7
[5,1,7,3,6,4,8,2]=>0001111=>7
[6,2,1,5,7,4,3,8]=>1010110=>7
[6,2,3,7,4,1,5,8]=>0010110=>7
[3,4,8,7,5,6,1,2]=>0000111=>7
[2,3,8,7,4,1,5,6]=>0010011=>7
[2,7,3,8,6,4,1,5]=>0010111=>7
[1,8,3,7,6,4,5,2]=>0001111=>7
[5,2,7,1,4,6,8,3]=>0001011=>7
[4,6,7,5,2,1,8,3]=>1001011=>7
[6,3,1,4,5,7,8,2]=>0100101=>7
[5,3,1,4,6,2,7,8]=>0101100=>7
[5,1,2,4,7,6,8,3]=>0001011=>7
[5,7,4,1,2,6,3,8]=>0010110=>7
[4,8,1,2,6,7,3,5]=>0000011=>7
[4,1,7,8,2,6,3,5]=>0010101=>7
[1,2,8,7,6,5,3,4]=>0001111=>7
[3,1,2,4,6,8,7,5]=>0100011=>7
[3,1,8,4,5,7,6,2]=>0100111=>7
[3,2,8,5,4,7,1,6]=>0101011=>7
[4,2,8,1,5,3,7,6]=>0011011=>7
[4,3,8,5,7,6,1,2]=>0010111=>7
[4,8,2,1,6,3,7,5]=>1000111=>7
[3,8,6,5,2,7,1,4]=>0001111=>7
[3,8,5,6,1,7,4,2]=>0010111=>7
[3,5,7,8,1,2,6,4]=>0000101=>7
[3,7,8,5,2,1,6,4]=>1001101=>7
[3,7,2,8,4,1,6,5]=>0010111=>7
[2,8,1,7,4,6,5,3]=>0001111=>7
[2,8,7,5,1,6,4,3]=>0011111=>7
[2,8,6,7,5,1,4,3]=>0011011=>7
[5,1,3,4,6,7,2,8]=>0001010=>7
[1,3,4,8,7,5,2,6]=>0001011=>7
[8,2,4,1,7,3,5,6]=>0010011=>7
[8,6,1,4,2,3,7,5]=>0010111=>7
[3,6,1,4,2,8,7,5]=>0010111=>7
[1,6,8,4,3,7,2,5]=>0010011=>7
[3,1,4,7,8,5,2,6]=>0101001=>7
[6,1,7,4,3,8,2,5]=>0010111=>7
[1,8,7,4,3,6,2,5]=>0010111=>7
[7,4,1,3,8,2,6,5]=>0010111=>7
[4,8,2,3,1,5,7,6]=>0100011=>7
[4,8,6,2,1,3,7,5]=>1000111=>7
[2,7,4,1,8,3,5,6]=>0010011=>7
[1,7,8,4,2,3,6,5]=>0010101=>7
[4,7,1,3,8,2,6,5]=>0000111=>7
[8,7,1,3,4,2,6,5]=>0010111=>7
[1,7,4,3,6,2,8,5]=>0010111=>7
[3,8,6,4,5,2,1,7]=>1001101=>7
[3,8,4,6,5,2,1,7]=>1001101=>7
[2,4,3,7,5,8,1,6]=>0010011=>7
[1,4,7,3,6,2,8,5]=>0000111=>7
[1,8,3,4,2,6,7,5]=>0010011=>7
[6,4,1,3,7,2,8,5]=>0010111=>7
[8,1,4,3,6,2,7,5]=>0010111=>7
[4,2,3,8,5,7,1,6]=>0010011=>7
[2,8,5,7,3,4,1,6]=>0010011=>7
[5,8,2,6,4,3,1,7]=>0110101=>7
[7,2,5,8,4,3,1,6]=>0110011=>7
[4,2,3,5,8,7,1,6]=>0010011=>7
[8,2,3,5,4,7,1,6]=>0001011=>7
[6,1,8,3,4,2,7,5]=>0010111=>7
[1,8,6,4,2,3,7,5]=>0010111=>7
[3,8,4,5,6,2,1,7]=>1000101=>7
[2,4,3,5,7,8,1,6]=>0010001=>7
[3,8,6,5,4,2,1,7]=>1011101=>7
[6,3,1,4,2,8,7,5]=>0110111=>7
[7,3,8,1,2,6,4,5]=>0000111=>7
[7,1,4,5,3,2,6,8]=>0101010=>7
[1,8,4,2,6,5,3,7]=>0011101=>7
[5,1,4,8,6,3,2,7]=>0101101=>7
[5,3,1,8,4,7,2,6]=>0101011=>7
[4,3,8,1,5,7,2,6]=>0010011=>7
[6,3,1,2,5,7,4,8]=>0100110=>7
[7,1,4,2,6,5,3,8]=>0011110=>7
[3,8,4,1,6,5,2,7]=>0011101=>7
[7,5,3,6,4,8,2,1]=>1001111=>7
[7,3,6,4,5,8,2,1]=>1000111=>7
[8,7,2,4,5,1,6,3]=>0001111=>7
[7,1,5,4,8,6,3,2]=>0101111=>7
[2,7,5,4,8,6,3,1]=>0101111=>7
[2,1,8,7,5,3,6,4]=>1001111=>7
[5,8,3,7,4,1,6,2]=>0010111=>7
[8,1,7,4,2,6,5,3]=>0011111=>7
[5,6,3,1,8,4,7,2]=>0100111=>7
[5,7,1,4,8,6,3,2]=>0100111=>7
[3,5,7,4,8,6,2,1]=>1000111=>7
[2,6,7,4,5,8,3,1]=>0100011=>7
[6,1,7,4,5,8,3,2]=>0100111=>7
[5,3,7,4,8,6,2,1]=>1001111=>7
[8,5,3,6,1,4,7,2]=>0001111=>7
[5,4,3,6,8,2,7,1]=>0011011=>7
[6,5,3,7,4,8,2,1]=>1001111=>7
[7,5,8,4,1,6,3,2]=>0110111=>7
[2,7,8,4,5,1,6,3]=>0001101=>7
[5,7,3,8,4,1,6,2]=>0010111=>7
[5,6,3,8,1,4,7,2]=>0000111=>7
[8,4,1,2,5,6,7,3]=>0010011=>7
[3,7,8,4,1,6,5,2]=>0011101=>7
[6,8,3,1,2,5,7,4]=>0100011=>7
[8,7,1,4,5,2,6,3]=>0001111=>7
[8,7,3,1,5,4,2,6]=>0111011=>7
[6,8,2,7,4,3,1,5]=>0110011=>7
[6,8,2,3,7,5,1,4]=>0001011=>7
[7,6,2,5,4,8,1,3]=>0001111=>7
[2,6,5,1,8,4,3,7]=>0011101=>7
[5,2,7,3,8,6,1,4]=>0001111=>7
[2,4,8,3,1,7,5,6]=>0100011=>7
[4,8,3,2,1,7,6,5]=>1100111=>7
[6,8,3,7,2,1,5,4]=>1001011=>7
[2,7,6,3,8,1,4,5]=>0000111=>7
[2,1,5,4,8,7,3,6]=>1001011=>7
[3,8,5,4,2,1,7,6]=>1011011=>7
[3,2,8,7,5,4,1,6]=>0111011=>7
[2,8,6,5,4,3,1,7]=>0111101=>7
[5,4,2,6,3,1,8,7]=>0111101=>7
[6,5,2,1,3,4,8,7]=>1001101=>7
[8,5,2,7,3,1,4,6]=>0101011=>7
[7,3,6,5,2,8,4,1]=>0011111=>7
[7,6,2,3,4,8,5,1]=>0001111=>7
[8,7,5,3,1,4,2,6]=>0111011=>7
[7,1,5,3,8,4,6,2]=>0001111=>7
[6,7,2,3,5,8,4,1]=>0010011=>7
[3,7,6,4,2,8,5,1]=>0011111=>7
[2,1,7,6,4,8,5,3]=>1001111=>7
[2,1,8,7,4,3,5,6]=>1010011=>7
[5,8,3,7,2,1,4,6]=>1000011=>7
[3,8,7,4,2,1,5,6]=>1010011=>7
[7,8,2,3,5,1,4,6]=>0001001=>7
[2,8,6,3,1,4,7,5]=>0100111=>7
[8,1,6,3,2,4,5,7]=>0100101=>7
[5,7,1,4,8,3,6,2]=>0000111=>7
[6,1,7,5,4,8,3,2]=>0101111=>7
[6,3,7,5,8,4,2,1]=>1010111=>7
[7,6,1,5,8,3,4,2]=>0010111=>7
[8,6,7,5,1,3,2,4]=>0101011=>7
[8,5,2,6,1,7,3,4]=>0001111=>7
[5,4,2,6,8,3,7,1]=>0011011=>7
[6,5,2,8,1,4,3,7]=>0011101=>7
[7,4,2,8,1,3,6,5]=>0010111=>7
[2,7,8,4,5,1,3,6]=>0001001=>7
[5,7,3,8,4,1,2,6]=>0010011=>7
[2,4,8,1,5,6,3,7]=>0000101=>7
[3,4,8,1,5,2,7,6]=>0001011=>7
[3,6,8,4,1,2,7,5]=>0010011=>7
[4,8,1,2,5,3,6,7]=>0001001=>7
[8,1,2,4,3,5,6,7]=>0010001=>7
[2,3,4,6,5,7,8,9,10,1]=>000010001=>9
[2,3,5,6,4,7,8,9,1]=>00001001=>8
[2,3,6,4,5,7,8,9,1]=>00001001=>8
[9,1,2,4,5,3,6,7,8]=>00010001=>4
[10,1,2,3,5,4,6,7,8,9]=>000100001=>9
[5,8,7,4,6,3,2,1]=>1100111=>7
[4,8,7,6,3,5,2,1]=>1001111=>7
[3,8,7,6,5,2,4,1]=>0011111=>7
[7,9,6,8,5,4,3,2,1]=>11110011=>8
[5,8,4,7,6,3,2,1]=>1100111=>7
[6,9,8,5,7,4,3,2,1]=>11100111=>8
[6,8,5,4,7,3,2,1]=>1101011=>7
[5,9,8,7,4,6,3,2,1]=>11001111=>8
[3,8,7,6,2,5,4,1]=>0011111=>7
[4,9,8,7,6,3,5,2,1]=>10011111=>8
[4,8,7,6,3,2,5,1]=>0101111=>7
[3,9,8,7,6,5,2,4,1]=>00111111=>8
[3,8,7,6,5,2,1,4]=>1001111=>7
[8,6,9,7,4,5,2,3,1]=>01010111=>8
[8,6,9,4,7,5,2,3,1]=>01010111=>8
[8,6,9,4,7,2,5,3,1]=>01010111=>8
[8,6,9,4,7,3,5,1,2]=>00010111=>8
[8,6,9,5,7,3,4,1,2]=>00100111=>8
[8,7,9,5,6,3,4,1,2]=>00101011=>8
[9,7,10,8,5,6,3,4,1,2]=>001010111=>9
[8,6,4,9,7,5,2,3,1]=>01011111=>8
[9,7,10,5,8,6,3,4,1,2]=>001010111=>9
[8,6,9,4,2,7,5,3,1]=>01110111=>4
[9,7,10,5,8,3,6,4,1,2]=>001010111=>9
[8,6,9,4,7,2,1,5,3]=>10010111=>8
[7,5,8,4,6,3,1,2]=>0100111=>7
[8,6,9,4,7,3,5,2,1]=>10010111=>8
[9,7,10,5,8,3,6,2,4,1]=>001010111=>9
[8,6,9,5,7,2,4,1,3]=>00100111=>8
[9,7,10,5,8,4,6,2,3,1]=>010010111=>9
[7,6,8,2,5,1,4,3]=>0011011=>7
[8,7,9,4,6,3,5,1,2]=>00011011=>8
[9,7,10,6,8,4,5,2,3,1]=>010100111=>9
[9,6,8,5,7,3,4,1,2]=>00100111=>8
[9,8,10,6,7,4,5,2,3,1]=>010101011=>9
[3,5,2,4,7,6,1,8]=>0001110=>7
[3,5,4,7,2,6,1,8]=>0001110=>7
[3,5,4,7,6,1,2,8]=>0001110=>7
[3,5,4,7,6,1,8,2]=>0001111=>7
[3,5,7,4,6,1,8,2]=>0000111=>7
[3,5,7,4,6,1,2,8]=>0000110=>7
[3,5,7,4,6,2,1,8]=>1000110=>7
[3,2,5,7,4,6,1,8]=>0100110=>7
[3,5,2,7,6,4,1,8]=>0011110=>7
[3,5,7,2,6,4,1,8]=>0010110=>7
[5,3,7,6,2,4,1,8]=>0011110=>7
[5,3,7,6,1,2,8,4]=>0001111=>7
[5,3,7,6,1,4,2,8]=>0011110=>7
[5,3,7,6,4,1,2,8]=>0011110=>7
[3,5,7,2,6,1,4,8]=>0000110=>7
[3,5,2,7,6,1,4,8]=>0001110=>7
[5,3,7,6,4,1,8,2]=>0011111=>7
[3,7,5,4,1,8,2,6]=>0011011=>7
[3,7,5,4,1,8,6,2]=>0011111=>7
[3,7,5,1,4,8,6,2]=>0001111=>7
[3,7,5,1,4,8,2,6]=>0001011=>7
[3,5,7,1,2,6,8,4]=>0000011=>7
[3,5,7,2,1,6,8,4]=>1000011=>7
[3,5,2,7,1,6,4,8]=>0001110=>7
[3,5,7,2,1,6,4,8]=>1000110=>7
[5,3,7,1,6,2,4,8]=>0001110=>7
[3,5,7,1,4,6,8,2]=>0000011=>7
[3,5,7,1,4,6,2,8]=>0000110=>7
[3,5,7,1,4,2,6,8]=>0010010=>7
[3,5,7,2,1,4,6,8]=>1000010=>7
[3,5,2,7,1,4,6,8]=>0001010=>7
[3,2,5,7,4,1,6,8]=>0110010=>7
[3,5,2,7,4,1,6,8]=>0011010=>7
[3,5,7,4,2,1,6,8]=>1010010=>7
[3,5,7,4,1,2,6,8]=>0010010=>7
[3,5,4,7,1,6,8,2]=>0001011=>7
[3,5,4,7,1,2,6,8]=>0001010=>7
[3,5,4,7,2,1,6,8]=>1001010=>7
[3,5,4,2,7,1,6,8]=>0011010=>7
[3,2,5,4,7,1,6,8]=>0101010=>7
[3,5,4,7,2,1,8,6]=>1001011=>7
[3,5,4,7,1,2,8,6]=>0001011=>7
[5,7,6,3,1,8,4,2]=>0110111=>7
[5,7,6,3,1,8,2,4]=>0100111=>7
[3,5,7,4,1,2,8,6]=>0010011=>7
[3,5,7,4,2,1,8,6]=>1010011=>7
[3,2,5,7,4,1,8,6]=>0110011=>7
[3,2,5,7,1,4,8,6]=>0100011=>7
[3,5,2,7,1,4,8,6]=>0001011=>7
[3,5,7,2,1,4,8,6]=>1000011=>7
[3,5,7,1,4,2,8,6]=>0010011=>7
[3,7,5,2,1,8,6,4]=>1001111=>7
[3,7,2,5,1,8,6,4]=>0001111=>7
[3,2,7,5,1,8,6,4]=>0101111=>7
[3,2,7,5,1,8,4,6]=>0101011=>7
[3,7,2,5,1,8,4,6]=>0001011=>7
[3,7,5,2,1,8,4,6]=>1001011=>7
[6,1,2,5,7,4,8,3]=>0000111=>7
[6,3,2,7,4,1,8,5]=>0110111=>7
[2,1,7,5,8,4,6,3]=>1000111=>7
[2,7,3,6,8,4,1,5]=>0010011=>7
[2,1,8,3,4,7,5,6]=>1000011=>7
[5,1,7,2,4,8,3,6]=>0001011=>7
[3,4,2,6,7,1,8,5]=>0010011=>7
[3,5,8,7,2,1,6,4]=>1000111=>7
[1,3,4,5,6,7,9,2,8]=>00000001=>8
[2,3,4,5,6,7,1,9,8]=>00000101=>8
[2,1,4,5,6,7,8,9,3]=>10000001=>8
[3,1,4,5,6,7,8,2,9]=>01000010=>8
[5,8,3,4,1,7,6,2]=>0010111=>7
[5,8,7,2,4,1,6,3]=>0010111=>7
[3,8,6,4,1,7,5,2]=>0011111=>7
[4,3,5,6,8,1,7,2]=>0010011=>7
[3,7,6,4,1,8,5,2]=>0011111=>7
[3,7,4,1,8,6,5,2]=>0011111=>7
[3,8,4,1,7,6,5,2]=>0011111=>7
[3,2,7,6,1,5,4,8]=>0101110=>7
[3,2,8,7,6,1,5,4]=>0101111=>7
[5,7,8,2,4,1,6,3]=>0010101=>7
[4,2,5,8,1,6,7,3]=>0010011=>7
[4,2,5,8,1,7,3,6]=>0010011=>7
[5,8,2,4,1,6,3,7]=>0010101=>7
[8,4,2,6,5,1,3,7]=>0011101=>7
[3,2,6,8,1,5,4,7]=>0101001=>7
[8,3,2,5,6,1,4,7]=>0100101=>7
[3,2,8,6,7,1,5,4]=>0101011=>7
[3,2,6,8,7,1,5,4]=>0101011=>7
[3,2,6,7,1,5,4,8]=>0101010=>7
[8,7,3,2,5,6,1,4]=>0100111=>7
[7,2,8,1,5,3,6,4]=>0001111=>7
[8,4,2,7,5,1,3,6]=>0011011=>7
[7,4,2,8,5,1,3,6]=>0011011=>7
[7,2,4,1,8,3,6,5]=>0010111=>7
[3,2,8,5,7,1,4,6]=>0100011=>7
[2,6,5,7,1,8,3,4]=>0000111=>7
[2,5,1,8,7,4,3,6]=>0011011=>7
[8,1,4,6,3,5,2,7]=>0001101=>7
[8,3,5,4,1,6,2,7]=>0011101=>7
[8,6,3,4,1,5,2,7]=>0011101=>7
[5,4,7,6,8,2,3,1]=>0101011=>7
[4,1,8,2,3,7,6,5]=>0010111=>7
[2,1,8,5,3,4,7,6]=>1001011=>7
[5,2,4,6,8,7,3,1]=>0101011=>7
[1,6,8,3,4,5,7,2]=>0000011=>7
[5,7,4,8,6,1,3,2]=>0100111=>7
[5,4,2,6,7,8,1,3]=>0011001=>7
[6,4,2,7,3,5,8,1]=>0010111=>7
[7,4,1,8,3,5,6,2]=>0010111=>7
[6,5,4,8,7,3,1,2]=>0101111=>7
[8,7,4,2,1,3,6,5]=>1010111=>7
[8,7,1,3,2,5,6,4]=>0100111=>7
[6,8,2,3,1,7,5,4]=>0101011=>7
[7,4,3,2,6,8,5,1]=>0111011=>7
[2,7,4,3,8,5,6,1]=>0010111=>7
[8,3,7,2,1,5,6,4]=>1000111=>7
[5,7,8,2,4,3,1,6]=>0110001=>7
[8,4,7,3,2,6,1,5]=>0100111=>7
[8,3,1,6,7,4,2,5]=>0110011=>7
[3,2,5,7,4,8,1,6]=>0100011=>7
[8,2,7,3,4,1,5,6]=>0010011=>7
[7,1,6,3,5,8,2,4]=>0000111=>7
[2,8,5,6,7,1,4,3]=>0010011=>7
[1,5,2,7,8,6,4,3]=>0011101=>7
[2,6,8,5,1,4,7,3]=>0001011=>7
[1,4,2,8,6,5,7,3]=>0010111=>7
[3,5,1,6,8,7,2,4]=>0001011=>7
[5,7,6,2,1,3,8,4]=>1000111=>7
[2,5,8,7,4,1,6,3]=>0010111=>7
[4,1,7,5,2,6,8,3]=>0011011=>7
[7,6,2,4,5,1,8,3]=>0001111=>7
[7,3,4,2,5,8,6,1]=>0010111=>7
[8,7,4,2,5,1,6,3]=>0011111=>7
[8,1,4,5,2,6,7,3]=>0001011=>7
[5,2,4,8,6,7,1,3]=>0001011=>7
[8,5,6,2,1,3,7,4]=>1000111=>7
[4,2,1,5,6,7,8,3]=>1010001=>7
[3,4,6,5,1,7,8,2]=>0001101=>7
[7,3,5,2,4,6,1,8]=>0001110=>7
[5,3,7,2,4,6,1,8]=>0001110=>7
[3,7,5,2,4,6,1,8]=>0001110=>7
[5,7,3,2,4,6,1,8]=>0100110=>7
[1,5,3,2,4,7,6,8]=>0101010=>7
[1,5,3,2,7,4,6,8]=>0101010=>7
[5,7,3,2,1,4,6,8]=>1100010=>7
[5,7,3,2,4,1,6,8]=>0110010=>7
[3,7,2,5,4,1,6,8]=>0011010=>7
[5,1,3,2,4,7,6,8]=>0101010=>7
[5,1,3,2,7,4,6,8]=>0101010=>7
[7,1,3,2,5,4,6,8]=>0101010=>7
[1,7,3,2,5,4,6,8]=>0101010=>7
[7,1,3,5,2,4,6,8]=>0001010=>7
[5,1,3,7,2,4,6,8]=>0001010=>7
[3,2,7,5,1,4,6,8]=>0101010=>7
[3,7,5,1,2,4,6,8]=>0001010=>7
[5,7,3,1,2,4,6,8]=>0100010=>7
[1,5,3,7,2,4,6,8]=>0001010=>7
[5,3,2,7,4,1,6,8]=>0111010=>7
[5,3,2,4,7,1,6,8]=>0101010=>7
[5,3,2,1,4,7,6,8]=>1101010=>7
[5,3,2,1,7,4,6,8]=>1101010=>7
[1,3,2,7,5,4,6,8]=>0101010=>7
[1,3,7,2,5,4,6,8]=>0001010=>7
[7,3,1,2,5,4,6,8]=>0101010=>7
[5,3,1,2,7,4,6,8]=>0101010=>7
[5,3,1,2,4,7,6,8]=>0101010=>7
[3,2,5,1,4,7,6,8]=>0101010=>7
[7,3,1,5,2,4,6,8]=>0101010=>7
[1,3,7,5,2,4,6,8]=>0001010=>7
[7,5,1,3,2,4,6,8]=>0101010=>7
[5,7,1,3,2,4,6,8]=>0100010=>7
[3,7,1,5,2,4,6,8]=>0001010=>7
[3,7,1,2,5,4,6,8]=>0001010=>7
[3,7,2,1,5,4,6,8]=>1001010=>7
[3,2,1,7,5,4,6,8]=>1101010=>7
[3,1,2,7,5,4,6,8]=>0101010=>7
[3,1,7,2,5,4,6,8]=>0101010=>7
[3,1,7,5,2,4,6,8]=>0101010=>7
[7,1,5,3,2,4,6,8]=>0101010=>7
[1,7,5,3,2,4,6,8]=>0101010=>7
[1,2,3,4,5,7,9,6,8]=>00000001=>8
[1,2,3,4,6,9,5,7,8]=>00000001=>8
[1,2,3,5,9,4,6,7,8]=>00000001=>8
[1,2,4,9,3,5,6,7,8]=>00000001=>8
[1,3,9,2,4,5,6,7,8]=>00000001=>8
[1,9,8,7,6,2,5,4,3]=>00111111=>8
[2,9,8,7,1,6,5,4,3]=>00111111=>8
[1,9,8,2,7,6,5,4,3]=>00111111=>8
[1,9,2,8,7,6,5,4,3]=>00111111=>8
[3,9,8,7,6,5,2,1,4]=>10011111=>8
[1,10,9,8,7,6,5,2,4,3]=>001111111=>9
[4,9,8,7,6,1,2,5,3]=>00011111=>8
[1,10,9,8,7,6,2,5,4,3]=>001111111=>9
[1,8,7,4,2,6,5,3]=>0011111=>7
[5,9,8,7,1,2,6,4,3]=>00101111=>8
[2,10,9,8,7,1,6,5,4,3]=>001111111=>9
[2,8,5,1,7,6,4,3]=>0011111=>7
[6,9,8,2,1,7,5,4,3]=>10110111=>8
[1,10,9,8,2,7,6,5,4,3]=>001111111=>9
[6,8,5,1,2,7,4,3]=>0011011=>7
[7,9,1,2,8,6,5,4,3]=>00111011=>8
[1,10,9,2,8,7,6,5,4,3]=>001111111=>9
[8,1,2,9,7,6,5,4,3]=>00111111=>8
[2,10,1,9,8,7,6,5,4,3]=>001111111=>9
[3,10,9,8,7,6,5,2,1,4]=>100111111=>9
[1,9,8,7,6,3,2,5,4]=>01011111=>8
[4,10,9,8,7,6,1,2,5,3]=>000111111=>9
[1,9,8,7,4,2,6,5,3]=>00111111=>8
[4,9,8,7,6,3,2,1,5]=>11001111=>8
[5,10,9,8,7,1,2,6,4,3]=>001011111=>9
[2,8,1,4,7,6,5,3]=>0001111=>7
[2,9,8,5,1,7,6,4,3]=>00111111=>8
[5,9,8,7,4,1,2,6,3]=>00101111=>8
[6,10,9,8,2,1,7,5,4,3]=>101101111=>9
[1,9,6,2,8,7,5,4,3]=>00111111=>8
[1,8,7,4,3,2,6,5]=>0110111=>7
[6,9,8,5,1,2,7,4,3]=>00110111=>8
[7,10,9,1,2,8,6,5,4,3]=>001110111=>9
[1,7,2,9,8,6,5,4,3]=>00111111=>8
[1,8,5,4,2,7,6,3]=>0011111=>7
[7,9,6,2,1,8,5,4,3]=>10111011=>4
[8,10,1,2,9,7,6,5,4,3]=>001111011=>9
[8,7,1,2,9,6,5,4,3]=>00111111=>8
[9,2,1,10,8,7,6,5,4,3]=>101111111=>9
[7,5,3,4,2,8,1,6]=>0011011=>7
[8,5,3,6,2,4,7,1]=>0001111=>7
[8,5,6,3,7,4,2,1]=>1010111=>7
[8,5,6,2,7,4,3,1]=>0110111=>7
[8,7,6,3,4,1,5,2]=>0011111=>7
[1,7,2,3,6,8,5,4]=>0001011=>7
[3,5,6,4,8,2,7,1]=>0000111=>7
[3,5,1,4,8,2,7,6]=>0001011=>7
[1,7,5,4,8,2,6,3]=>0001111=>7
[3,7,5,1,6,4,8,2]=>0001111=>7
[2,7,5,4,8,1,3,6]=>0001011=>7
[2,7,5,4,8,6,1,3]=>0001111=>7
[1,7,5,4,8,6,3,2]=>0101111=>7
[2,5,1,4,8,7,3,6]=>0001011=>7
[3,6,4,2,8,7,1,5]=>0010111=>7
[3,5,2,4,8,1,6,7]=>0001001=>7
[3,5,6,4,8,1,2,7]=>0000101=>7
[1,5,6,4,8,7,2,3]=>0000111=>7
[3,6,4,1,8,7,2,5]=>0010111=>7
[3,6,4,5,8,7,2,1]=>1000111=>7
[1,6,4,3,8,5,2,7]=>0011101=>7
[7,1,3,4,5,8,2,6]=>0000011=>7
[7,6,1,4,5,3,8,2]=>0001111=>7
[7,6,1,3,5,4,8,2]=>0001111=>7
[7,1,3,2,5,8,4,6]=>0100011=>7
[1,6,4,2,8,5,3,7]=>0011101=>7
[7,6,5,8,2,4,3,1]=>0110111=>7
[7,6,5,8,3,1,4,2]=>0110111=>7
[2,6,4,3,8,1,7,5]=>0010111=>7
[2,6,4,3,8,5,7,1]=>0010111=>7
[7,2,3,1,5,8,6,4]=>0100111=>7
[7,1,5,6,3,8,4,2]=>0010111=>7
[7,3,6,5,1,4,8,2]=>0001111=>7
[7,2,6,5,3,8,1,4]=>0001111=>7
[7,2,3,1,4,8,6,5]=>0100111=>7
[7,2,3,5,4,8,6,1]=>0001111=>7
[2,6,4,5,8,1,7,3]=>0000111=>7
[1,5,6,4,8,3,7,2]=>0000111=>7
[2,5,6,4,8,3,1,7]=>0100101=>7
[3,5,6,1,4,7,8,2]=>0000101=>7
[7,6,1,3,4,5,8,2]=>0000111=>7
[7,1,3,2,4,8,5,6]=>0100011=>7
[7,6,1,5,3,4,8,2]=>0001111=>7
[7,6,1,5,4,3,8,2]=>0011111=>7
[1,6,4,5,8,3,2,7]=>0100101=>7
[7,6,5,8,1,3,2,4]=>0100111=>7
[3,4,6,8,7,2,1,5]=>1000011=>7
[3,5,6,8,2,1,7,4]=>1000011=>7
[4,2,1,5,3,7,8,6]=>1011001=>7
[4,2,5,6,3,1,8,7]=>0110101=>7
[3,5,6,8,1,7,2,4]=>0000011=>7
[4,1,5,6,3,2,8,7]=>0110101=>7
[4,5,3,1,7,2,8,6]=>0101011=>7
[4,1,3,5,2,7,8,6]=>0011001=>7
[2,5,4,7,3,8,6,1]=>0001111=>7
[3,5,7,1,8,4,2,6]=>0010011=>7
[4,1,5,3,2,7,8,6]=>0111001=>7
[4,5,3,7,1,2,8,6]=>0001011=>7
[4,3,6,1,2,7,5,8]=>0010110=>7
[5,1,3,2,4,6,7,8]=>0101000=>7
[3,6,1,7,4,5,2,8]=>0001110=>7
[5,1,3,4,2,6,7,8]=>0011000=>7
[5,3,1,4,2,6,7,8]=>0111000=>7
[4,5,2,3,7,1,8,6]=>0001011=>7
[4,2,6,1,3,7,5,8]=>0010110=>7
[4,6,2,1,3,7,5,8]=>1000110=>7
[3,6,2,1,7,4,8,5]=>1000111=>7
[3,1,4,7,6,5,2,8]=>0101110=>7
[3,6,2,7,1,5,8,4]=>0000111=>7
[4,6,2,7,1,3,5,8]=>0000110=>7
[3,5,7,1,8,2,6,4]=>0000111=>7
[5,1,4,2,3,6,7,8]=>0011000=>7
[3,6,1,7,2,5,8,4]=>0000111=>7
[2,6,5,3,4,7,8,1]=>0001101=>7
[3,6,1,7,5,4,2,8]=>0011110=>7
[5,1,4,3,2,6,7,8]=>0111000=>7
[5,4,1,3,2,6,7,8]=>0111000=>7
[6,4,2,5,3,8,1,7]=>0011101=>7
[4,6,2,3,5,1,8,7]=>0001101=>7
[6,2,4,5,1,8,3,7]=>0001101=>7
[8,2,6,7,1,4,5,3]=>0001011=>7
[8,2,6,7,4,1,5,3]=>0011011=>7
[4,6,2,3,5,8,1,7]=>0000101=>7
[2,6,4,1,5,8,3,7]=>0010101=>7
[2,8,1,6,7,4,5,3]=>0001011=>7
[6,8,4,5,7,2,3,1]=>0100011=>7
[2,8,6,1,4,7,5,3]=>0001111=>7
[2,8,1,6,4,7,5,3]=>0001111=>7
[2,6,1,4,8,5,3,7]=>0001101=>7
[6,4,5,2,8,3,1,7]=>0101101=>7
[4,2,3,6,1,8,5,7]=>0010101=>7
[4,2,3,1,6,8,5,7]=>0110001=>7
[4,2,3,8,6,1,7,5]=>0010111=>7
[6,4,5,8,2,3,7,1]=>0000111=>7
[8,6,7,2,4,5,1,3]=>0001011=>7
[6,4,8,5,2,3,7,1]=>0001111=>7
[4,2,8,3,1,6,7,5]=>0110011=>7
[2,4,8,1,3,6,7,5]=>0000011=>7
[2,4,1,8,3,6,7,5]=>0010011=>7
[2,1,4,8,6,3,7,5]=>1000111=>7
[6,4,8,2,5,3,7,1]=>0001111=>7
[8,6,2,4,7,5,1,3]=>0001111=>7
[4,6,8,2,3,5,7,1]=>0000011=>7
[2,6,8,4,1,5,7,3]=>0010011=>7
[2,6,8,1,4,5,7,3]=>0000011=>7
[2,1,6,8,4,5,7,3]=>1000011=>7
[2,8,1,4,6,7,3,5]=>0000011=>7
[4,8,6,2,3,7,5,1]=>0001111=>7
[8,4,2,6,7,3,1,5]=>0110011=>7
[7,6,4,5,1,3,8,2]=>0001111=>7
[1,6,7,5,3,4,8,2]=>0001011=>7
[7,6,2,3,8,4,1,5]=>0010111=>7
[1,6,7,5,8,2,3,4]=>0000011=>7
[6,2,5,8,3,4,7,1]=>0000111=>7
[6,2,3,8,7,4,1,5]=>0010111=>7
[2,4,7,3,5,8,6,1]=>0000111=>7
[2,5,3,7,1,8,4,6]=>0001011=>7
[5,2,8,3,1,4,6,7]=>0101001=>7
[4,8,2,3,6,5,7,1]=>0000111=>7
[5,8,1,3,6,4,7,2]=>0000111=>7
[5,8,1,4,3,6,2,7]=>0010101=>7
[5,8,4,1,3,7,6,2]=>0010111=>7
[6,4,5,3,8,1,7,2]=>0001111=>7
[4,6,5,3,7,1,2,8]=>0001110=>7
[4,5,1,3,6,2,8,7]=>0001101=>7
[4,2,6,5,1,7,3,8]=>0011110=>7
[4,3,5,7,2,1,6,8]=>1010010=>7
[3,4,7,6,8,1,2,5]=>0000011=>7
[3,4,6,2,5,8,7,1]=>0000111=>7
[3,5,2,4,6,1,8,7]=>0001101=>7
[4,2,5,1,6,8,3,7]=>0011001=>7
[1,8,2,3,6,5,7,4]=>0000111=>7
[4,2,8,3,5,7,1,6]=>0010011=>7
[4,3,8,6,5,7,1,2]=>0010111=>7
[1,3,7,2,6,5,8,4]=>0000111=>7
[1,3,6,4,2,5,8,7]=>0010101=>7
[1,5,4,7,3,6,8,2]=>0001011=>7
[5,2,3,8,4,1,7,6]=>0011011=>7
[7,5,3,4,8,2,1,6]=>1001011=>7
[7,2,8,3,4,1,5,6]=>0010011=>7
[7,4,3,8,5,2,6,1]=>0011111=>7
[4,6,2,7,3,1,5,8]=>0100110=>7
[7,6,3,8,2,4,5,1]=>0001111=>7
[7,2,8,5,1,3,4,6]=>0001011=>7
[1,5,3,7,6,8,4,2]=>0011011=>7
[1,6,3,7,8,2,4,5]=>0000101=>7
[1,4,3,7,8,5,2,6]=>0011001=>7
[4,2,6,5,7,8,3,1]=>0110101=>7
[4,2,6,7,5,8,1,3]=>0010011=>7
[3,2,4,7,8,5,1,6]=>0101001=>7
[3,2,6,7,8,1,4,5]=>0100001=>7
[5,1,8,3,6,4,7,2]=>0001111=>7
[3,6,8,5,7,2,1,4]=>1000011=>7
[5,1,3,8,7,6,4,2]=>0011111=>7
[3,8,5,6,1,7,2,4]=>0000111=>7
[3,4,8,1,7,6,2,5]=>0000111=>7
[4,7,6,8,5,1,3,2]=>0101011=>7
[6,7,4,8,5,1,3,2]=>0101011=>7
[5,3,6,8,7,1,4,2]=>0011011=>7
[1,8,4,6,7,2,5,3]=>0001011=>7
[5,2,8,3,7,1,6,4]=>0001111=>7
[7,4,5,8,6,1,3,2]=>0100111=>7
[4,3,6,8,7,1,5,2]=>0011011=>7
[6,4,8,3,1,7,5,2]=>0101111=>7
[3,6,5,8,7,1,4,2]=>0010111=>7
[5,7,4,8,2,6,3,1]=>0100111=>7
[5,6,4,8,2,7,3,1]=>0100111=>7
[5,6,8,3,1,7,4,2]=>0110011=>7
[4,6,3,8,2,7,5,1]=>0001111=>7
[5,3,8,1,7,2,6,4]=>0001111=>7
[6,5,8,1,3,7,4,2]=>0010111=>7
[6,5,3,8,2,7,4,1]=>0011111=>7
[6,4,8,1,3,7,5,2]=>0001111=>7
[6,2,8,3,4,7,5,1]=>0001111=>7
[7,6,3,1,4,2,5,8]=>0110110=>7
[1,5,4,3,7,8,2,6]=>0011001=>7
[7,8,4,2,5,3,1,6]=>0111001=>7
[4,2,7,8,5,3,1,6]=>0111001=>7
[4,2,5,3,1,7,8,6]=>0111001=>7
[4,2,8,7,6,3,1,5]=>0110111=>7
[4,2,7,6,3,1,5,8]=>0110110=>7
[6,3,1,7,5,2,4,8]=>0101110=>7
[6,3,1,8,7,5,2,4]=>0101111=>7
[8,6,3,1,7,5,2,4]=>0101111=>7
[4,2,7,6,3,1,8,5]=>0110111=>7
[7,6,3,1,8,4,2,5]=>0110111=>7
[7,6,4,2,1,8,3,5]=>1010111=>7
[1,8,2,7,6,4,3,5]=>0010111=>7
[8,3,5,7,6,4,2,1]=>1010111=>7
[8,4,2,5,7,6,3,1]=>0110111=>7
[7,5,2,4,8,6,3,1]=>0101111=>7
[8,7,5,2,4,6,3,1]=>0101111=>7
[7,5,2,4,6,3,1,8]=>0101110=>7
[5,2,8,6,3,7,4,1]=>0011111=>7
[8,4,7,5,2,6,3,1]=>0101111=>7
[8,3,6,4,7,5,2,1]=>1001111=>7
[1,8,2,7,5,3,6,4]=>0001111=>7
[7,5,2,1,8,3,6,4]=>1001111=>7
[7,5,2,6,3,1,8,4]=>0101111=>7
[5,2,7,4,1,8,6,3]=>0011111=>7
[5,2,8,7,4,1,6,3]=>0011111=>7
[8,7,4,1,5,2,6,3]=>0011111=>7
[7,4,1,5,2,8,6,3]=>0011111=>7
[7,6,3,1,4,2,8,5]=>0110111=>7
[7,5,2,8,6,3,1,4]=>0101111=>7
[8,7,5,2,6,3,1,4]=>0101111=>7
[7,5,2,1,3,6,4,8]=>1001110=>7
[8,7,5,2,1,3,6,4]=>1001111=>7
[7,5,2,1,3,8,6,4]=>1001111=>7
[1,3,7,6,5,8,2,4]=>0000111=>7
[8,6,4,7,5,2,1,3]=>1001111=>7
[6,4,8,7,5,2,1,3]=>1001111=>7
[6,4,7,5,2,1,3,8]=>1001110=>7
[6,3,1,4,7,5,2,8]=>0101110=>7
[6,3,1,4,8,7,5,2]=>0101111=>7
[8,6,3,1,4,7,5,2]=>0101111=>7
[8,5,7,6,3,1,4,2]=>0110111=>7
[1,8,2,5,7,6,4,3]=>0010111=>7
[1,8,2,6,4,7,5,3]=>0001111=>7
[7,5,2,1,6,4,8,3]=>1001111=>7
[6,3,8,7,4,1,5,2]=>0011111=>7
[6,3,7,4,1,5,2,8]=>0011110=>7
[7,4,1,6,3,5,2,8]=>0011110=>7
[7,4,1,8,6,3,5,2]=>0011111=>7
[8,4,6,3,1,7,5,2]=>0101111=>7
[6,4,7,5,2,1,8,3]=>1001111=>7
[1,6,4,7,5,3,8,2]=>0001111=>7
[8,6,3,5,2,7,4,1]=>0011111=>7
[6,3,5,2,8,7,4,1]=>0011111=>7
[6,3,5,2,7,4,1,8]=>0011110=>7
[4,5,7,2,6,3,1,8]=>0100110=>7
[3,5,8,4,6,1,7,2]=>0000111=>7
[1,4,7,3,5,2,6,8]=>0001010=>7
[5,7,4,2,6,3,1,8]=>0110110=>7
[4,2,6,3,5,7,1,8]=>0010110=>7
[1,4,5,8,2,7,3,6]=>0000011=>7
[2,4,5,8,1,6,7,3]=>0000011=>7
[8,3,4,7,1,6,5,2]=>0001111=>7
[4,2,5,7,8,1,6,3]=>0010101=>7
[8,3,4,6,5,1,7,2]=>0001111=>7
[4,1,7,3,5,2,6,8]=>0011010=>7
[6,1,3,7,4,2,5,8]=>0010110=>7
[3,1,6,8,2,7,4,5]=>0100011=>7
[6,1,3,8,2,5,4,7]=>0001101=>7
[4,8,2,3,1,6,7,5]=>0100011=>7
[3,2,6,8,1,5,7,4]=>0100011=>7
[8,2,6,1,5,4,7,3]=>0001111=>7
[8,6,2,7,1,5,4,3]=>0011111=>7
[7,6,8,3,1,5,4,2]=>0111011=>7
[5,7,4,2,8,1,6,3]=>0010111=>7
[6,3,7,2,8,1,5,4]=>0001111=>7
[7,5,2,8,6,1,4,3]=>0011111=>7
[2,7,3,8,1,5,6,4]=>0000111=>7
[1,6,8,5,2,4,3,7]=>0011001=>7
[4,5,7,2,8,1,6,3]=>0000111=>7
[4,5,6,8,3,1,7,2]=>0100011=>7
[8,4,6,5,3,1,7,2]=>0101111=>7
[5,6,4,8,3,1,7,2]=>0100111=>7
[3,4,7,1,2,6,5,8]=>0000110=>7
[4,8,1,6,2,3,7,5]=>0000111=>7
[4,5,3,1,7,2,6,8]=>0101010=>7
[4,7,3,1,2,6,5,8]=>0100110=>7
[5,2,7,1,3,6,4,8]=>0001110=>7
[7,8,1,2,4,3,6,5]=>0010101=>7
[8,4,1,6,2,3,7,5]=>0010111=>7
[4,8,3,1,2,5,7,6]=>0100011=>7
[4,1,3,6,5,7,8,2]=>0010101=>7
[6,1,3,4,2,8,5,7]=>0010101=>7
[8,1,4,2,5,7,6,3]=>0010111=>7
[8,1,4,3,5,7,6,2]=>0010111=>7
[5,2,4,1,3,7,8,6]=>0011001=>7
[2,6,5,3,1,7,8,4]=>0101101=>7
[8,3,2,1,5,7,6,4]=>1100111=>7
[1,7,4,3,6,8,2,5]=>0010011=>7
[2,7,6,3,1,8,4,5]=>0100111=>7
[2,8,4,6,3,7,5,1]=>0001111=>7
[8,7,1,3,6,5,4,2]=>0011111=>7
[1,8,5,7,4,2,6,3]=>0010111=>7
[3,8,6,5,7,1,4,2]=>0010111=>7
[4,8,6,2,7,1,5,3]=>0001111=>7
[4,7,5,3,8,2,1,6]=>1001011=>7
[1,6,5,8,3,4,2,7]=>0010101=>7
[6,1,5,3,8,4,2,7]=>0011101=>7
[8,1,5,4,7,2,6,3]=>0001111=>7
[2,1,4,7,5,8,3,6]=>1000011=>7
[6,3,5,8,7,4,1,2]=>0010111=>7
[4,7,2,8,5,6,3,1]=>0100111=>7
[1,4,8,7,3,5,6,2]=>0000111=>7
[8,1,7,6,3,5,4,2]=>0011111=>7
[3,6,8,5,7,4,1,2]=>0010011=>7
[4,7,6,8,5,3,1,2]=>0101011=>7
[5,7,2,8,6,4,1,3]=>0010111=>7
[3,8,7,5,6,4,2,1]=>1010111=>7
[2,8,7,6,4,5,3,1]=>0101111=>7
[1,8,7,6,5,3,4,2]=>0011111=>7
[4,6,7,2,5,3,1,8]=>0101010=>7
[3,6,7,4,8,1,5,2]=>0001011=>7
[3,8,5,7,6,1,4,2]=>0010111=>7
[1,4,7,8,2,6,5,3]=>0001101=>7
[2,4,7,8,1,6,5,3]=>0001101=>7
[4,2,6,8,7,1,5,3]=>0011011=>7
[3,1,7,8,2,6,5,4]=>0101101=>7
[6,1,3,8,2,7,5,4]=>0001111=>7
[5,1,8,4,2,7,6,3]=>0011111=>7
[8,2,6,1,7,5,4,3]=>0011111=>7
[6,8,3,7,1,5,4,2]=>0011011=>7
[2,7,3,8,1,6,5,4]=>0001111=>7
[1,7,3,8,2,6,5,4]=>0001111=>7
[2,6,8,4,1,7,5,3]=>0011011=>7
[4,5,8,6,3,1,7,2]=>0100111=>7
[4,6,7,1,2,8,5,3]=>0001011=>7
[3,6,1,8,2,7,5,4]=>0001111=>7
[5,7,4,1,2,8,6,3]=>0010111=>7
[6,3,7,1,2,8,5,4]=>0001111=>7
[6,2,1,8,3,7,5,4]=>1001111=>7
[8,1,5,6,3,2,4,7]=>0100101=>7
[1,7,8,3,5,2,4,6]=>0001001=>7
[8,5,3,7,2,4,6,1]=>0001111=>7
[1,7,2,4,8,5,3,6]=>0001011=>7
[1,7,8,5,4,3,2,6]=>0111001=>7
[2,6,8,7,4,3,5,1]=>0011011=>7
[1,2,6,7,8,4,3,5]=>0010001=>7
[2,7,5,8,4,1,3,6]=>0010011=>7
[2,1,7,8,4,5,3,6]=>1001001=>7
[3,7,8,2,1,5,4,6]=>1001001=>7
[8,5,1,4,7,3,6,2]=>0001111=>7
[8,4,7,5,3,6,1,2]=>0001111=>7
[8,1,4,6,7,3,5,2]=>0001011=>7
[3,5,8,6,7,4,1,2]=>0010011=>7
[3,6,8,4,7,1,5,2]=>0001011=>7
[4,7,1,3,6,8,2,5]=>0000011=>7
[3,7,6,4,8,1,2,5]=>0000111=>7
[3,1,7,5,6,8,2,4]=>0100011=>7
[2,3,6,5,7,1,8,4]=>0000111=>7
[3,7,5,4,2,1,8,6]=>1011011=>7
[1,3,6,7,4,2,8,5]=>0010011=>7
[3,6,4,8,2,7,5,1]=>0001111=>7
[1,4,6,3,2,7,8,5]=>0100101=>7
[8,7,1,5,6,3,2,4]=>0100111=>7
[8,1,6,7,5,3,2,4]=>0101011=>7
[1,7,8,6,5,3,2,4]=>0101101=>7
[8,7,2,4,6,5,3,1]=>0101111=>7
[1,7,8,2,6,4,5,3]=>0001101=>7
[8,7,2,5,4,6,1,3]=>0001111=>7
[8,7,2,5,3,1,6,4]=>0101111=>7
[8,7,3,2,1,5,6,4]=>1100111=>7
[8,2,6,7,3,1,5,4]=>0101011=>7
[1,7,2,8,5,6,4,3]=>0010111=>7
[2,7,1,8,4,6,5,3]=>0001111=>7
[3,7,8,2,1,6,5,4]=>1001101=>7
[8,7,6,1,4,5,3,2]=>0101111=>7
[4,8,1,2,3,7,5,6]=>0000011=>7
[1,8,2,3,6,5,4,7]=>0001101=>7
[3,5,8,4,7,2,6,1]=>0000111=>7
[1,8,5,4,6,2,3,7]=>0001101=>7
[3,8,5,4,6,1,2,7]=>0001101=>7
[3,8,5,1,6,4,2,7]=>0011101=>7
[2,8,5,4,6,1,3,7]=>0001101=>7
[2,8,5,4,6,3,1,7]=>0101101=>7
[1,8,5,4,6,3,2,7]=>0101101=>7
[2,5,8,4,7,3,6,1]=>0000111=>7
[3,6,4,2,7,8,5,1]=>0011101=>7
[3,5,4,1,6,2,7,8]=>0011100=>7
[4,5,8,1,7,6,2,3]=>0000111=>7
[3,5,8,4,7,1,6,2]=>0000111=>7
[1,5,8,4,7,3,6,2]=>0000111=>7
[3,6,4,1,7,8,5,2]=>0011101=>7
[3,6,4,8,7,5,2,1]=>1001111=>7
[1,6,4,3,7,8,5,2]=>0011101=>7
[7,1,3,4,8,6,5,2]=>0001111=>7
[7,6,1,3,8,4,2,5]=>0010111=>7
[1,6,4,2,7,8,3,5]=>0010101=>7
[2,6,4,3,7,1,8,5]=>0010111=>7
[2,6,4,1,7,8,3,5]=>0010101=>7
[7,2,3,4,8,6,5,1]=>0001111=>7
[7,2,3,1,8,6,4,5]=>0100111=>7
[7,2,3,4,1,6,8,5]=>0010011=>7
[1,2,4,3,8,5,7,6]=>0010011=>7
[7,3,8,6,1,4,2,5]=>0010111=>7
[7,2,8,6,3,4,1,5]=>0010111=>7
[7,2,3,1,5,6,8,4]=>0100011=>7
[7,2,3,8,1,6,5,4]=>0001111=>7
[7,2,3,8,5,6,4,1]=>0010111=>7
[2,6,4,8,7,1,5,3]=>0001111=>7
[1,5,8,4,7,6,2,3]=>0000111=>7
[3,5,8,1,6,7,2,4]=>0000011=>7
[7,6,1,3,5,8,2,4]=>0000111=>7
[7,1,3,2,5,6,8,4]=>0100011=>7
[7,1,3,8,2,6,5,4]=>0001111=>7
[7,6,1,8,5,4,2,3]=>0011111=>7
[3,2,6,5,8,4,7,1]=>0100111=>7
[4,3,7,1,6,5,8,2]=>0010111=>7
[5,2,6,4,8,3,7,1]=>0001111=>7
[5,2,6,4,8,1,7,3]=>0001111=>7
[4,3,7,5,8,2,6,1]=>0010111=>7
[5,3,7,4,8,2,6,1]=>0001111=>7
[5,3,7,4,8,1,6,2]=>0001111=>7
[5,4,8,1,6,2,7,3]=>0001111=>7
[4,3,7,1,5,2,8,6]=>0011011=>7
[4,3,7,1,6,2,8,5]=>0010111=>7
[5,4,8,2,6,3,7,1]=>0001111=>7
[5,4,8,1,6,3,7,2]=>0001111=>7
[4,1,7,5,2,3,6,8]=>0011010=>7
[4,1,7,8,6,3,2,5]=>0110101=>7
[4,7,2,8,3,5,1,6]=>0001011=>7
[1,2,6,8,3,7,4,5]=>0000011=>7
[6,8,3,2,1,4,7,5]=>1100011=>7
[7,5,8,4,3,1,6,2]=>0110111=>7
[6,8,2,4,1,3,7,5]=>0010011=>7
[2,8,4,7,6,3,5,1]=>0001111=>7
[6,1,2,7,5,8,4,3]=>0010111=>7
[4,2,7,3,8,5,6,1]=>0010111=>7
[4,5,2,6,8,3,7,1]=>0001011=>7
[4,8,3,2,5,7,6,1]=>0100111=>7
[7,2,4,3,8,5,6,1]=>0010111=>7
[8,4,7,6,2,3,5,1]=>0001111=>7
[6,8,4,1,5,3,7,2]=>0011011=>7
[8,3,4,7,6,2,5,1]=>0001111=>7
[1,8,3,5,2,6,7,4]=>0001011=>7
[6,8,3,5,1,4,7,2]=>0001011=>7
[6,8,5,4,2,3,7,1]=>0011011=>7
[5,8,2,4,3,7,6,1]=>0010111=>7
[8,2,1,3,5,6,4,7]=>1000101=>7
[8,2,1,3,5,4,7,6]=>1001011=>7
[8,2,1,3,4,6,7,5]=>1000011=>7
[8,1,3,4,2,6,5,7]=>0010101=>7
[8,1,3,4,2,5,7,6]=>0010011=>7
[8,1,3,2,5,6,4,7]=>0100101=>7
[8,1,2,4,5,3,7,6]=>0001011=>7
[8,1,2,4,3,6,7,5]=>0010011=>7
[10,2,1,4,3,6,5,8,7,9]=>101010101=>9
[10,2,1,4,3,6,5,7,9,8]=>101010011=>9
[10,2,1,4,3,5,7,8,6,9]=>101000101=>9
[10,2,1,4,3,5,7,6,9,8]=>101001011=>9
[10,2,1,4,3,5,6,8,9,7]=>101000011=>9
[10,2,1,3,5,6,4,8,7,9]=>100010101=>9
[10,2,1,3,5,6,4,7,9,8]=>100010011=>9
[10,2,1,3,5,4,7,8,6,9]=>100100101=>9
[10,2,1,3,5,4,7,6,9,8]=>100101011=>9
[10,2,1,3,5,4,6,8,9,7]=>100100011=>9
[10,2,1,3,4,6,7,8,5,9]=>100000101=>9
[10,2,1,3,4,6,7,5,9,8]=>100001011=>9
[10,2,1,3,4,6,5,8,9,7]=>100010011=>9
[10,2,1,3,4,5,7,8,9,6]=>100000011=>9
[10,1,3,4,2,6,5,8,7,9]=>001010101=>9
[10,1,3,4,2,6,5,7,9,8]=>001010011=>9
[10,1,3,4,2,5,7,8,6,9]=>001000101=>9
[10,1,3,4,2,5,7,6,9,8]=>001001011=>9
[10,1,3,4,2,5,6,8,9,7]=>001000011=>9
[10,1,3,2,5,6,4,8,7,9]=>010010101=>9
[10,1,3,2,5,6,4,7,9,8]=>010010011=>9
[10,1,3,2,5,4,7,8,6,9]=>010100101=>9
[10,1,3,2,5,4,7,6,9,8]=>010101011=>9
[10,1,3,2,5,4,6,8,9,7]=>010100011=>9
[10,1,3,2,4,6,7,8,5,9]=>010000101=>9
[10,1,3,2,4,6,7,5,9,8]=>010001011=>9
[10,1,3,2,4,6,5,8,9,7]=>010010011=>9
[10,1,3,2,4,5,7,8,9,6]=>010000011=>9
[10,1,2,4,5,6,3,8,7,9]=>000010101=>9
[10,1,2,4,5,6,3,7,9,8]=>000010011=>9
[10,1,2,4,5,3,7,8,6,9]=>000100101=>9
[10,1,2,4,5,3,7,6,9,8]=>000101011=>9
[10,1,2,4,5,3,6,8,9,7]=>000100011=>9
[10,1,2,4,3,6,7,8,5,9]=>001000101=>9
[10,1,2,4,3,6,7,5,9,8]=>001001011=>9
[10,1,2,4,3,6,5,8,9,7]=>001010011=>9
[10,1,2,4,3,5,7,8,9,6]=>001000011=>9
[10,1,2,3,5,6,7,8,4,9]=>000000101=>9
[10,1,2,3,5,6,7,4,9,8]=>000001011=>9
[10,1,2,3,5,6,4,8,9,7]=>000010011=>9
[10,1,2,3,5,4,7,8,9,6]=>000100011=>9
[10,1,2,3,4,6,7,8,9,5]=>000000011=>9
[6,5,3,8,4,2,7,1]=>0011111=>7
[7,4,5,1,6,2,8,3]=>0001111=>7
[4,7,3,5,6,2,8,1]=>0000111=>7
[6,7,8,4,1,3,5,2]=>0011001=>7
[3,1,6,8,4,7,5,2]=>0101011=>7
[8,3,6,1,5,7,4,2]=>0010111=>7
[3,2,7,5,8,6,1,4]=>0100111=>7
[2,5,4,7,8,1,6,3]=>0001101=>7
[2,4,6,7,8,1,5,3]=>0001001=>7
[2,4,6,8,1,7,5,3]=>0001011=>7
[7,4,3,8,6,2,1,5]=>1010111=>7
[2,4,7,8,3,5,6,1]=>0000101=>7
[3,2,7,6,1,8,4,5]=>0100111=>7
[3,2,6,8,1,7,4,5]=>0100011=>7
[4,3,6,2,1,8,5,7]=>1010101=>7
[3,6,4,2,5,8,1,7]=>0010101=>7
[4,6,2,3,7,5,8,1]=>0000111=>7
[5,8,4,2,3,6,7,1]=>0010011=>7
[8,4,5,3,2,1,7,6]=>1101011=>7
[5,8,3,4,2,1,7,6]=>1010011=>7
[6,8,4,2,3,7,5,1]=>0011011=>7
[6,4,8,3,2,7,1,5]=>0100111=>7
[5,8,3,7,2,1,6,4]=>1000111=>7
[2,5,6,4,7,1,8,3]=>0000111=>7
[2,5,4,8,1,6,7,3]=>0001011=>7
[6,4,7,3,8,2,1,5]=>1000111=>7
[6,7,4,3,2,1,8,5]=>1110011=>7
[8,4,3,7,2,1,5,6]=>1010011=>7
[1,2,6,5,8,7,3,4]=>0000111=>7
[1,5,2,8,4,6,7,3]=>0001011=>7
[1,5,2,7,4,6,8,3]=>0001011=>7
[5,1,2,7,3,6,8,4]=>0001011=>7
[5,1,2,8,3,6,7,4]=>0001011=>7
[5,6,3,4,8,7,2,1]=>1000111=>7
[6,5,3,4,8,7,2,1]=>1001111=>7
[4,1,2,8,3,6,7,5]=>0010011=>7
[4,1,2,7,3,6,8,5]=>0010011=>7
[7,5,3,8,4,6,2,1]=>1001111=>7
[8,5,3,7,4,6,2,1]=>1001111=>7
[5,8,1,2,3,4,7,6]=>0000011=>7
[7,1,2,8,3,6,4,5]=>0000111=>7
[6,1,8,2,3,5,7,4]=>0000111=>7
[6,1,7,2,3,5,8,4]=>0000111=>7
[1,6,8,2,4,5,7,3]=>0000011=>7
[4,3,8,7,5,6,2,1]=>1010111=>7
[1,8,2,7,4,6,5,3]=>0001111=>7
[7,1,6,2,3,5,8,4]=>0000111=>7
[8,1,6,2,3,5,7,4]=>0000111=>7
[8,1,7,2,3,5,6,4]=>0000111=>7
[5,8,3,7,4,6,2,1]=>1000111=>7
[6,8,7,3,4,5,2,1]=>1001011=>7
[1,8,7,2,4,5,3,6]=>0001011=>7
[8,7,1,2,3,4,6,5]=>0000111=>7
[8,6,1,2,3,4,7,5]=>0000111=>7
[8,1,6,2,3,5,4,7]=>0001101=>7
[1,7,6,2,4,5,3,8]=>0001110=>7
[1,8,7,4,6,3,5,2]=>0001111=>7
[6,3,7,5,1,4,8,2]=>0001111=>7
[1,8,3,5,7,2,6,4]=>0000111=>7
[2,3,4,6,8,5,7,1]=>0000011=>7
[2,3,5,7,4,8,6,1]=>0000111=>7
[2,4,6,3,7,8,5,1]=>0001101=>7
[2,5,7,1,8,6,3,4]=>0000111=>7
[8,2,4,5,1,3,7,6]=>0001011=>7
[1,3,8,5,2,4,6,7]=>0001001=>7
[2,6,7,1,8,4,5,3]=>0001011=>7
[5,8,3,1,4,2,6,7]=>0110001=>7
[2,4,1,8,5,6,3,7]=>0010101=>7
[1,6,2,7,8,5,3,4]=>0001101=>7
[3,5,2,6,7,8,4,1]=>0011001=>7
[4,5,1,6,7,3,8,2]=>0001011=>7
[2,8,4,1,7,5,3,6]=>0011011=>7
[8,5,3,1,7,4,2,6]=>0111011=>7
[4,2,8,7,1,5,3,6]=>0011011=>7
[5,2,6,8,1,7,4,3]=>0011011=>7
[5,7,3,2,6,8,1,4]=>0100011=>7
[8,4,7,3,1,6,2,5]=>0100111=>7
[6,7,1,2,3,5,8,4]=>0000011=>7
[3,1,6,7,8,4,2,5]=>0110001=>7
[3,1,4,8,5,6,2,7]=>0100101=>7
[8,3,1,4,5,7,2,6]=>0100011=>7
[1,6,7,8,9,2,3,4,5]=>00000001=>8
[6,7,8,9,1,2,3,4,5,10]=>000000010=>9
[6,7,8,1,2,3,4,5,9]=>00000010=>8
[1,7,8,9,2,3,4,5,6]=>00000001=>8
[1,7,8,9,10,2,3,4,5,6]=>000000001=>9
[6,7,8,9,10,1,2,3,4,5,11]=>0000000010=>10
[5,6,7,8,9,1,2,3,4,10]=>000000010=>9
[5,6,7,1,8,2,3,4,9]=>00000110=>8
[4,6,7,8,1,2,3,5,9]=>00000010=>8
[1,6,7,8,2,9,3,4,5]=>00000011=>8
[1,5,7,8,9,2,3,4,6]=>00000001=>8
[1,6,7,8,9,10,2,3,4,5]=>000000001=>9
[1,7,8,9,10,11,2,3,4,5,6]=>0000000001=>10
[8,6,2,3,5,1,4,7]=>0001101=>7
[8,2,4,5,7,3,1,6]=>0100011=>7
[2,6,3,8,7,5,4,1]=>0011111=>7
[8,2,3,7,5,4,1,6]=>0011011=>7
[8,2,6,3,5,4,1,7]=>0011101=>7
[8,6,1,5,2,4,3,7]=>0011101=>7
[8,6,2,4,1,5,3,7]=>0011101=>7
[8,4,1,6,5,3,2,7]=>0111101=>7
[8,3,6,1,5,4,2,7]=>0011101=>7
[8,3,2,6,5,4,1,7]=>0111101=>7
[8,3,2,5,7,4,1,6]=>0110011=>7
[8,3,1,7,5,4,2,6]=>0111011=>7
[8,2,7,4,1,5,3,6]=>0011011=>7
[6,1,3,8,7,5,4,2]=>0011111=>7
[3,6,1,8,7,5,4,2]=>0011111=>7
[3,8,1,5,7,6,4,2]=>0010111=>7
[3,5,2,8,7,6,4,1]=>0011111=>7
[3,4,8,2,7,6,5,1]=>0001111=>7
[3,4,8,7,1,6,5,2]=>0001111=>7
[8,1,3,5,7,6,4,2]=>0010111=>7
[4,1,8,5,7,6,3,2]=>0110111=>7
[8,2,7,1,4,5,6,3]=>0000111=>7
[8,1,7,3,4,6,2,5]=>0000111=>7
[8,3,1,7,2,6,5,4]=>0101111=>7
[3,8,2,4,7,6,5,1]=>0001111=>7
[2,8,3,7,4,6,5,1]=>0001111=>7
[8,2,3,7,1,6,5,4]=>0001111=>7
[8,2,7,1,3,6,5,4]=>0001111=>7
[8,1,7,2,6,4,3,5]=>0010111=>7
[8,1,7,5,2,4,3,6]=>0011011=>7
[8,2,3,7,4,6,1,5]=>0000111=>7
[2,4,8,5,7,6,3,1]=>0100111=>7
[8,2,4,3,7,6,1,5]=>0010111=>7
[8,2,7,3,5,1,4,6]=>0001011=>7
[8,2,7,4,3,1,5,6]=>0110011=>7
[8,2,7,3,1,5,6,4]=>0100111=>7
[8,2,1,5,7,6,4,3]=>1010111=>7
[6,2,1,8,7,5,4,3]=>1011111=>7
[6,1,8,2,7,5,4,3]=>0011111=>7
[8,1,7,3,5,2,6,4]=>0001111=>7
[8,1,5,2,7,6,4,3]=>0011111=>7
[8,1,7,2,4,6,5,3]=>0001111=>7
[8,2,4,1,7,6,5,3]=>0011111=>7
[4,2,8,3,7,6,5,1]=>0011111=>7
[4,8,2,1,7,6,5,3]=>1001111=>7
[5,1,8,7,2,6,4,3]=>0011111=>7
[5,8,1,3,7,6,2,4]=>0000111=>7
[8,2,5,4,1,7,6,3]=>0011111=>7
[5,1,4,8,7,6,3,2]=>0101111=>7
[8,1,4,3,7,6,5,2]=>0011111=>7
[4,8,1,3,7,6,5,2]=>0001111=>7
[4,3,8,1,7,6,5,2]=>0011111=>7
[5,8,6,3,2,1,7,4]=>1100111=>7
[5,7,6,3,2,4,1,8]=>0110110=>7
[6,5,7,2,4,3,1,8]=>0110110=>7
[5,7,1,3,2,8,6,4]=>0100111=>7
[5,8,1,3,2,7,4,6]=>0100011=>7
[8,5,1,3,2,4,6,7]=>0101001=>7
[7,5,1,3,2,4,8,6]=>0101011=>7
[7,5,8,2,1,4,3,6]=>1010011=>7
[6,7,1,2,5,4,8,3]=>0001011=>7
[6,8,1,2,5,7,4,3]=>0010011=>7
[7,1,2,3,8,6,4,5]=>0000111=>7
[8,1,6,4,2,3,5,7]=>0010101=>7
[1,5,4,8,2,3,7,6]=>0001011=>7
[1,7,8,2,3,5,6,4]=>0000101=>7
[7,5,8,2,3,1,4,6]=>0100011=>7
[7,4,1,2,6,8,3,5]=>0010011=>7
[6,2,8,1,5,7,3,4]=>0000111=>7
[7,2,5,4,1,8,6,3]=>0011111=>7
[7,3,5,4,2,1,8,6]=>1011011=>7
[7,3,2,8,5,6,1,4]=>0100111=>7
[1,7,4,3,6,8,5,2]=>0011011=>7
[4,7,6,5,2,3,8,1]=>0001111=>7
[4,7,6,5,1,3,8,2]=>0001111=>7
[5,4,6,8,7,2,1,3]=>1001011=>7
[6,7,4,2,1,8,5,3]=>1011011=>7
[1,7,6,3,2,8,4,5]=>0100111=>7
[5,4,2,1,7,3,6,8]=>1011010=>7
[6,5,8,2,3,7,4,1]=>0010111=>7
[6,5,8,3,4,1,7,2]=>0010111=>7
[4,1,2,8,5,3,6,7]=>0011001=>7
[3,5,8,2,6,1,7,4]=>0000111=>7
[3,7,6,1,5,2,8,4]=>0001111=>7
[1,7,6,2,5,8,4,3]=>0010111=>7
[1,7,6,5,8,4,2,3]=>0010111=>7
[3,7,6,5,8,1,2,4]=>0000111=>7
[3,7,6,2,8,4,5,1]=>0001111=>7
[4,3,6,8,5,1,2,7]=>0011001=>7
[2,7,1,5,8,4,3,6]=>0010011=>7
[2,7,6,1,8,4,3,5]=>0010111=>7
[7,1,2,6,3,5,4,8]=>0001110=>7
[7,2,6,3,4,5,1,8]=>0001110=>7
[6,7,8,4,2,5,3,1]=>0111001=>7
[6,1,2,5,7,8,4,3]=>0010101=>7
[4,1,2,7,8,5,3,6]=>0011001=>7
[4,7,3,1,2,6,8,5]=>0100011=>7
[3,7,6,1,5,8,2,4]=>0000111=>7
[3,8,5,6,4,2,7,1]=>0010111=>7
[3,2,6,4,7,8,5,1]=>0101101=>7
[4,2,7,5,8,3,1,6]=>0110011=>7
[4,2,7,1,3,8,6,5]=>0010111=>7
[5,2,1,4,7,8,3,6]=>1001001=>7
[5,6,2,7,3,4,8,1]=>0000111=>7
[6,1,3,8,5,4,7,2]=>0001111=>7
[2,7,6,8,5,1,3,4]=>0001011=>7
[2,7,6,8,5,3,1,4]=>0101011=>7
[1,5,8,6,4,2,3,7]=>0010101=>7
[2,5,8,6,4,1,7,3]=>0010111=>7
[1,6,2,3,5,8,7,4]=>0000111=>7
[4,7,2,3,1,6,8,5]=>0100011=>7
[6,7,3,1,5,4,8,2]=>0101011=>7
[7,4,6,2,8,3,5,1]=>0001111=>7
[7,3,5,1,4,8,2,6]=>0001011=>7
[3,4,6,5,1,2,7,8]=>0001100=>7
[7,5,4,3,8,6,2,1]=>1011111=>7
[4,3,8,2,6,7,5,1]=>0011011=>7
[4,3,8,2,5,7,1,6]=>0010011=>7
[4,1,6,2,5,3,7,8]=>0011100=>7
[5,1,8,6,4,7,2,3]=>0001111=>7
[4,2,6,1,5,3,8,7]=>0011101=>7
[6,7,2,3,1,5,8,4]=>0100011=>7
[7,5,2,3,8,1,6,4]=>0001111=>7
[7,5,2,3,8,4,1,6]=>0011011=>7
[4,5,1,7,6,3,8,2]=>0001111=>7
[8,6,3,1,4,2,5,7]=>0110101=>7
[4,5,1,6,2,8,7,3]=>0001111=>7
[4,8,3,6,1,7,2,5]=>0000111=>7
[6,2,7,8,3,4,5,1]=>0001101=>7
[9,2,3,4,5,6,7,8,1]=>00000011=>8
[8,2,3,4,5,6,7,1,9]=>00000110=>8
[7,2,3,4,5,6,1,8,9]=>00001100=>8
[6,2,3,4,5,1,7,8,9]=>00011000=>8
[5,2,3,4,1,6,7,8,9]=>00110000=>8
[4,2,3,1,5,6,7,8,9]=>01100000=>8
[1,2,4,3,5,6,7,8,9]=>00100000=>8
[1,2,4,6,8,9,7,5,3]=>00010101=>8
[1,2,4,5,3,6,7,8,9]=>00010000=>8
[1,2,4,3,5,6,7,8,9,10]=>001000000=>9
[1,2,4,6,8,10,9,7,5,3]=>000101011=>9
[1,2,4,6,8,5,7,3]=>0000011=>7
[2,1,7,5,8,6,3,4]=>1000111=>7
[4,7,3,8,6,5,2,1]=>1001111=>7
[3,8,7,4,6,5,1,2]=>0001111=>7
[7,3,8,4,6,5,1,2]=>0001111=>7
[7,4,3,6,5,8,1,2]=>0010111=>7
[4,5,8,7,2,6,1,3]=>0000111=>7
[3,8,6,7,5,1,4,2]=>0011011=>7
[4,2,7,6,5,8,3,1]=>0110111=>7
[4,6,7,8,5,2,3,1]=>0101001=>7
[4,5,3,8,2,7,6,1]=>0001111=>7
[3,8,5,4,1,7,6,2]=>0011111=>7
[6,4,7,2,5,8,3,1]=>0100111=>7
[6,3,8,7,5,1,4,2]=>0011111=>7
[5,3,6,4,1,2,8,7]=>0011101=>7
[6,8,4,3,5,7,1,2]=>0010011=>7
[5,2,4,8,7,6,1,3]=>0001111=>7
[3,2,4,5,1,8,6,7]=>0101001=>7
[4,2,5,1,7,8,3,6]=>0011001=>7
[2,5,4,1,3,8,6,7]=>0011001=>7
[1,4,5,3,8,2,6,7]=>0001001=>7
[5,1,8,2,4,3,6,7]=>0011001=>7
[1,5,4,8,2,3,6,7]=>0001001=>7
[3,5,1,4,7,8,2,6]=>0001001=>7
[4,8,3,1,6,7,2,5]=>0100011=>7
[3,4,8,2,6,5,7,1]=>0000111=>7
[3,6,2,4,8,7,1,5]=>0000111=>7
[4,7,3,2,6,8,1,5]=>0100011=>7
[7,3,4,6,8,1,2,5]=>0000011=>7
[3,6,7,2,5,8,1,4]=>0000011=>7
[1,5,6,8,3,7,2,4]=>0000011=>7
[6,1,5,8,3,4,7,2]=>0000111=>7
[5,6,8,1,3,4,7,2]=>0000011=>7
[2,8,5,6,3,4,7,1]=>0000111=>7
[6,8,1,3,5,4,7,2]=>0001011=>7
[8,1,6,3,5,4,7,2]=>0001111=>7
[1,8,7,3,6,4,5,2]=>0001111=>7
[7,1,2,5,8,4,6,3]=>0000111=>7
[6,2,4,8,1,7,3,5]=>0000111=>7
[3,1,7,8,5,4,6,2]=>0101101=>7
[1,6,2,7,4,8,5,3]=>0001111=>7
[2,7,1,8,4,3,5,6]=>0010011=>7
[6,7,1,8,3,2,4,5]=>0100011=>7
[2,7,6,3,5,8,1,4]=>0000111=>7
[2,7,5,6,8,1,3,4]=>0000011=>7
[6,7,2,8,1,3,4,5]=>0000011=>7
[5,1,6,8,7,2,3,4]=>0001011=>7
[1,5,7,6,8,2,3,4]=>0000011=>7
[7,4,6,8,5,3,1,2]=>0101011=>7
[2,1,5,7,8,3,6,4]=>1000101=>7
[3,8,6,7,5,1,2,4]=>0001011=>7
[4,7,5,8,6,3,1,2]=>0100111=>7
[1,6,8,3,2,5,4,7]=>0101001=>7
[7,8,5,1,3,2,6,4]=>0101101=>7
[2,6,8,1,5,4,7,3]=>0001011=>7
[1,5,4,7,6,2,8,3]=>0001111=>7
[2,3,7,6,5,1,8,4]=>0001111=>7
[6,1,5,8,3,2,7,4]=>0100111=>7
[3,1,2,4,8,5,7,6]=>0100011=>7
[2,5,8,4,6,3,1,7]=>0100101=>7
[7,1,5,4,8,3,2,6]=>0101011=>7
[6,4,1,7,5,3,2,8]=>0111110=>7
[2,7,6,4,8,1,5,3]=>0001111=>7
[7,2,5,4,8,1,6,3]=>0001111=>7
[1,7,2,5,3,8,6,4]=>0001111=>7
[2,4,1,3,6,8,5,7,9]=>00100010=>4
[7,2,3,8,6,1,5,4]=>0001111=>7
[7,3,2,5,8,1,6,4]=>0100111=>7
[5,3,8,4,1,2,6,7]=>0011001=>7
[2,4,8,3,7,1,5,6]=>0000011=>7
[5,2,8,4,1,6,3,7]=>0011101=>7
[7,6,5,2,1,8,4,3]=>1011111=>7
[2,7,5,1,8,3,6,4]=>0001111=>7
[5,1,8,7,4,3,6,2]=>0011111=>7
[3,8,7,2,4,6,1,5]=>0000111=>7
[5,7,1,3,2,4,8,6]=>0100011=>7
[4,2,7,6,3,5,8,1]=>0010111=>7
[8,4,7,6,3,5,1,2]=>0001111=>7
[8,1,7,4,2,3,5,6]=>0010011=>7
[6,5,1,3,8,7,4,2]=>0011111=>7
[4,7,8,3,2,5,1,6]=>0101001=>7
[6,1,8,5,3,7,2,4]=>0001111=>7
[5,1,6,8,3,7,4,2]=>0011011=>7
[8,6,5,1,7,4,3,2]=>0111111=>7
[7,6,4,1,3,5,8,2]=>0010111=>7
[8,2,3,7,1,4,5,6]=>0000011=>7
[2,8,3,7,1,4,5,6]=>0000011=>7
[5,6,2,7,4,3,1,8]=>0110110=>7
[8,6,2,7,4,1,3,5]=>0010111=>7
[3,7,8,2,6,1,4,5]=>0000101=>7
[3,7,8,5,2,1,4,6]=>1001001=>7
[6,8,4,7,3,1,5,2]=>0101011=>7
[4,8,6,5,1,2,7,3]=>0001111=>7
[4,8,6,5,1,2,3,7]=>0001101=>7
[3,4,5,1,7,6,8,2]=>0001011=>7
[3,8,7,6,5,1,2,4]=>0001111=>7
[8,4,6,7,1,2,5,3]=>0001011=>7
[5,7,2,6,1,8,4,3]=>0010111=>7
[5,7,2,6,1,3,8,4]=>0000111=>7
[5,8,2,6,1,4,7,3]=>0000111=>7
[3,8,7,5,6,1,4,2]=>0010111=>7
[6,8,4,7,2,1,5,3]=>1001011=>7
[7,4,6,5,1,3,8,2]=>0001111=>7
[1,7,3,4,5,2,8,6]=>0001011=>7
[4,8,2,1,3,5,6,7]=>1000001=>7
[1,7,2,5,4,3,8,6]=>0011011=>7
[2,6,7,3,4,8,1,5]=>0000011=>7
[2,1,5,7,4,3,8,6]=>1010011=>7
[4,1,8,7,5,6,2,3]=>0010111=>7
[1,5,8,7,4,3,6,2]=>0010111=>7
[6,4,1,3,8,7,5,2]=>0011111=>7
[2,1,7,4,6,8,3,5]=>1000011=>7
[1,7,2,4,6,8,3,5]=>0000011=>7
[8,6,4,2,7,3,5,1]=>0011111=>7
[7,4,6,1,2,3,8,5]=>0000111=>7
[1,8,6,2,7,3,5,4]=>0001111=>7
[1,7,8,6,2,3,5,4]=>0001101=>7
[2,1,8,3,5,7,6,4]=>1000111=>7
[3,5,8,1,7,6,2,4]=>0000111=>7
[2,8,1,3,6,7,5,4]=>0001011=>7
[7,2,4,8,6,1,5,3]=>0001111=>7
[2,4,1,5,6,7,8,9,10,3]=>001000001=>9
[2,3,4,5,6,7,9,1,10,8]=>000000011=>9
[2,3,5,1,6,7,8,9,10,4]=>000100001=>9
[2,3,4,5,6,8,1,9,10,7]=>000000101=>9
[2,3,4,6,1,7,8,9,10,5]=>000010001=>9
[2,3,4,5,7,1,8,9,10,6]=>000001001=>9
[4,1,2,5,6,7,8,9,10,3]=>001000001=>9
[4,3,1,5,6,7,8,10,2,9]=>011000001=>9
[2,4,1,5,6,7,8,9,10,11,3]=>0010000001=>10
[2,6,1,5,3,7,8,9,10,4]=>000110001=>9
[2,3,4,5,6,7,8,10,1,11,9]=>0000000011=>10
[5,3,4,1,6,7,9,2,10,8]=>001100011=>9
[2,3,5,1,6,7,8,9,10,11,4]=>0001000001=>10
[2,3,8,1,6,7,4,9,10,5]=>000001101=>9
[2,3,4,5,6,7,9,1,10,11,8]=>0000000101=>10
[6,3,4,5,1,8,2,9,10,7]=>000110101=>9
[2,3,4,6,1,7,8,9,10,11,5]=>0000100001=>5
[2,3,4,10,1,7,8,9,5,6]=>000000011=>9
[2,3,4,5,6,8,1,9,10,11,7]=>0000001001=>10
[2,3,4,5,7,1,8,9,10,11,6]=>0000010001=>10
[8,2,1,3,4,5,6,7,9]=>10000010=>8
[3,2,4,5,6,7,8,1,9]=>01000010=>8
[9,2,1,3,4,5,6,7,8,10]=>100000010=>9
[8,3,1,2,4,5,6,7,9]=>01000010=>8
[8,2,3,1,4,5,6,7,9]=>01000010=>8
[4,2,3,5,6,7,8,1,9]=>00100010=>4
[6,4,3,2,8,1,7,5]=>0110111=>7
[6,2,4,3,8,1,7,5]=>0010111=>7
[5,8,4,3,1,6,7,2]=>0110011=>7
[8,7,2,4,6,10,1,3,5,9]=>000001101=>9
[2,10,7,9,4,6,8,1,3,5]=>000000111=>9
[6,5,2,4,8,10,1,3,7,9]=>000110001=>9
[2,8,5,7,4,6,10,1,3,9]=>000001101=>9
[10,5,2,4,7,9,6,8,1,3]=>000100111=>9
[10,9,2,8,5,7,4,6,1,3]=>000011111=>9
[8,7,6,5,2,4,10,1,3,9]=>000111101=>9
[10,7,2,6,5,9,4,8,1,3]=>000011111=>9
[6,10,5,9,8,7,2,4,1,3]=>001001111=>9
[4,10,3,9,2,6,8,1,5,7]=>000000111=>9
[4,3,10,7,9,2,6,8,1,5]=>001000111=>9
[3,6,2,5,4,8,10,1,7,9]=>000110001=>9
[3,6,10,2,5,9,4,8,1,7]=>000000111=>9
[3,5,8,2,4,7,6,10,1,9]=>000001101=>9
[3,5,7,10,2,4,6,9,8,1]=>000000111=>9
[10,9,3,5,8,2,4,7,6,1]=>000011111=>9
[8,7,3,6,2,5,4,10,1,9]=>000111101=>9
[7,6,3,5,10,2,4,9,8,1]=>000011111=>9
[3,6,10,9,8,2,5,7,4,1]=>001001111=>9
[10,9,8,7,3,6,2,5,4,1]=>001111111=>9
[5,4,3,8,2,7,6,10,1,9]=>001101101=>9
[5,4,3,7,10,2,6,9,8,1]=>001100111=>9
[5,10,4,9,3,8,2,7,6,1]=>000011111=>9
[4,8,3,7,6,5,2,10,1,9]=>000111101=>9
[4,7,3,6,5,10,2,9,8,1]=>000011111=>9
[4,6,10,3,5,9,8,7,2,1]=>100001111=>9
[10,9,4,8,3,7,6,5,2,1]=>100111111=>9
[7,6,5,4,3,10,2,9,8,1]=>001111111=>9
[6,5,4,10,3,9,8,7,2,1]=>100111111=>9
[5,10,4,9,8,7,6,3,2,1]=>110011111=>9
[4,2,8,1,5,7,6,3]=>0010111=>7
[6,3,7,2,5,4,8,1]=>0001111=>7
[5,4,7,3,2,6,8,1]=>0101011=>7
[5,7,2,6,3,4,8,1]=>0000111=>7
[3,7,5,4,6,2,8,1]=>0001111=>7
[6,8,3,2,1,7,4,5]=>1100011=>7
[4,8,1,7,5,3,2,6]=>0101011=>7
[5,4,3,7,2,8,6,1]=>0011111=>7
[3,6,5,7,2,8,4,1]=>0010111=>7
[4,6,5,3,8,2,1,7]=>1001101=>7
[2,6,5,8,7,3,1,4]=>0100111=>7
[6,3,8,4,1,7,2,5]=>0010111=>7
[7,2,8,1,6,4,3,5]=>0010111=>7
[3,2,8,7,6,4,1,5]=>0110111=>7
[8,2,6,4,3,5,1,7]=>0011101=>7
[5,4,2,8,6,3,7,1]=>0011111=>7
[2,8,7,5,3,1,4,6]=>0101011=>7
[2,5,6,3,1,4,8,7]=>0100101=>7
[2,4,7,8,5,3,1,6]=>0101001=>7
[6,5,3,2,4,1,8,7]=>0111101=>7
[6,5,8,7,3,2,4,1]=>0110111=>7
[2,1,4,7,8,5,3,6]=>1001001=>7
[8,3,1,6,5,7,4,2]=>0110111=>7
[8,5,6,7,3,1,4,2]=>0110011=>7
[8,7,5,3,2,6,4,1]=>0111111=>7
[8,5,3,1,4,6,7,2]=>0101011=>7
[8,5,1,6,4,3,7,2]=>0011111=>7
[6,1,4,3,7,8,2,5]=>0010101=>7
[6,1,2,7,5,8,3,4]=>0000111=>7
[2,7,3,1,4,6,8,5]=>0100011=>7
[2,8,3,1,6,5,7,4]=>0100111=>7
[3,8,5,6,7,1,2,4]=>0000011=>7
[6,5,1,2,8,4,7,3]=>0001111=>7
[2,5,8,1,4,6,7,3]=>0000011=>7
[2,1,8,7,5,4,6,3]=>1001111=>7
[7,8,3,4,1,6,5,2]=>0011101=>7
[8,7,3,4,2,6,5,1]=>0011111=>7
[8,4,5,2,3,7,1,6]=>0001011=>7
[6,4,7,5,2,8,3,1]=>0101111=>7
[4,6,3,8,7,5,1,2]=>0001111=>7
[2,8,4,1,5,7,6,3]=>0010111=>7
[1,8,4,2,5,7,6,3]=>0010111=>7
[2,8,5,4,1,7,6,3]=>0011111=>7
[2,5,8,3,7,1,6,4]=>0000111=>7
[1,8,5,2,4,7,6,3]=>0001111=>7
[1,4,6,2,8,7,5,3]=>0001111=>7
[7,8,2,4,1,6,5,3]=>0011101=>7
[2,4,6,1,8,7,5,3]=>0001111=>7
[2,8,4,5,1,7,6,3]=>0001111=>7
[3,5,8,2,7,6,1,4]=>0000111=>7
[2,1,6,8,7,5,3,4]=>1001011=>7
[1,8,2,4,5,7,6,3]=>0000111=>7
[1,2,8,3,5,7,6,4]=>0000111=>7
[1,3,8,2,5,7,6,4]=>0000111=>7
[2,3,8,1,5,7,6,4]=>0000111=>7
[2,6,1,8,7,5,3,4]=>0001111=>7
[1,6,2,8,7,5,3,4]=>0001111=>7
[1,6,3,8,7,5,2,4]=>0001111=>7
[2,6,3,8,7,5,1,4]=>0001111=>7
[3,2,8,1,5,7,6,4]=>0100111=>7
[3,1,8,2,5,7,6,4]=>0100111=>7
[2,8,1,4,5,7,6,3]=>0000111=>7
[7,8,2,1,4,6,5,3]=>1001101=>7
[2,3,6,8,7,5,1,4]=>0001011=>7
[3,1,6,8,7,2,5,4]=>0101011=>7
[3,8,4,5,1,6,2,7]=>0001101=>7
[6,1,4,5,7,2,3,8]=>0000110=>7
[8,1,4,7,6,3,2,5]=>0100111=>7
[8,3,1,6,4,7,2,5]=>0100111=>7
[5,3,8,6,2,7,1,4]=>0001111=>7
[8,3,6,1,5,7,2,4]=>0000111=>7
[8,4,6,3,1,2,5,7]=>0100101=>7
[6,8,1,4,5,2,3,7]=>0001001=>7
[1,5,8,4,6,2,3,7]=>0000101=>7
[2,1,6,5,3,8,4,7]=>1001101=>7
[5,6,8,1,4,2,3,7]=>0010001=>7
[5,7,4,8,1,2,3,6]=>0000011=>7
[8,2,1,5,3,7,4,6]=>1001011=>7
[4,7,8,1,2,6,3,5]=>0000101=>7
[8,7,1,5,6,2,3,4]=>0000111=>7
[1,6,5,8,7,2,3,4]=>0000111=>7
[3,7,1,6,2,4,8,5]=>0000111=>7
[5,1,2,7,6,8,3,4]=>0001011=>7
[6,1,7,2,5,8,3,4]=>0000111=>7
[1,7,6,5,8,2,3,4]=>0000111=>7
[1,6,8,5,7,2,3,4]=>0000011=>7
[7,5,1,2,6,8,3,4]=>0001011=>7
[6,1,5,2,7,8,3,4]=>0001101=>7
[1,6,3,8,7,2,4,5]=>0000111=>7
[1,7,3,2,4,6,8,5]=>0100011=>7
[8,3,1,4,2,5,7,6]=>0110011=>7
[3,1,2,7,8,4,6,5]=>0100101=>7
[5,1,2,6,8,7,3,4]=>0001011=>7
[1,8,6,2,5,7,3,4]=>0000111=>7
[5,7,8,1,2,6,3,4]=>0000101=>7
[8,1,5,7,6,2,3,4]=>0000111=>7
[7,1,6,8,5,2,3,4]=>0001011=>7
[3,7,1,2,8,4,6,5]=>0000111=>7
[8,3,1,2,7,6,4,5]=>0100111=>7
[1,5,8,7,6,2,3,4]=>0000111=>7
[7,8,6,1,5,2,3,4]=>0001101=>7
[1,9,3,4,5,6,7,8,2]=>00000011=>8
[9,2,3,4,5,6,7,8,1,10]=>000000110=>9
[1,9,8,4,5,6,7,3,2]=>01000111=>8
[1,10,3,4,5,6,7,8,9,2]=>000000011=>9
[1,10,9,4,5,6,7,8,3,2]=>010000111=>9
[7,8,6,3,1,5,2,4]=>0101101=>7
[7,8,1,3,4,5,2,6]=>0001001=>7
[1,7,4,8,2,5,3,6]=>0001011=>7
[3,8,6,1,4,2,7,5]=>0010111=>7
[7,1,8,2,4,6,3,5]=>0000111=>7
[7,6,8,4,1,5,3,2]=>0111011=>7
[7,3,2,8,1,5,4,6]=>0101011=>7
[3,5,4,1,7,2,6,8]=>0011010=>7
[6,4,7,3,2,5,1,8]=>0101110=>7
[7,6,5,3,8,4,1,2]=>0011111=>7
[6,4,5,7,8,1,3,2]=>0100101=>7
[3,7,4,1,6,8,5,2]=>0011011=>7
[3,1,2,7,6,8,5,4]=>0101011=>7
[6,3,2,8,4,5,1,7]=>0101101=>7
[6,1,8,3,5,4,2,7]=>0011101=>7
[3,8,5,2,4,6,1,7]=>0001101=>7
[1,6,4,8,3,5,2,7]=>0001101=>7
[1,5,4,8,6,3,7,2]=>0001111=>7
[4,8,2,5,3,7,1,6]=>0001011=>7
[3,8,4,5,2,6,7,1]=>0001011=>7
[4,1,8,6,5,3,7,2]=>0011111=>7
[5,7,8,4,6,3,2,1]=>1100101=>7
[5,3,2,8,6,4,7,1]=>0101111=>7
[6,8,1,2,7,4,3,5]=>0010011=>7
[5,8,7,3,6,2,4,1]=>0010111=>7
[7,5,2,3,4,8,6,1]=>0001111=>7
[7,3,5,4,2,8,6,1]=>0011111=>7
[5,6,1,3,2,4,7,8]=>0100100=>7
[2,5,1,3,7,8,6,4]=>0001101=>7
[4,3,7,2,1,8,6,5]=>1010111=>7
[4,6,7,2,1,3,5,8]=>1000010=>7
[4,6,2,3,1,5,7,8]=>0100100=>7
[3,6,4,2,5,1,7,8]=>0011100=>7
[3,1,6,4,7,5,2,8]=>0101110=>7
[3,6,2,7,5,4,1,8]=>0011110=>7
[2,4,7,5,3,6,1,8]=>0001110=>7
[2,5,7,3,4,1,6,8]=>0010010=>7
[2,3,5,8,6,4,7,1]=>0000111=>7
[2,4,7,3,8,6,5,1]=>0001111=>7
[3,4,2,7,5,8,6,1]=>0010111=>7
[3,1,5,4,7,8,6,2]=>0101101=>7
[4,5,7,2,3,1,8,6]=>0100011=>7
[3,7,8,1,4,6,5,2]=>0001101=>7
[2,5,8,7,4,1,3,6]=>0010011=>7
[2,6,4,7,5,3,8,1]=>0001111=>7
[6,2,4,7,1,3,8,5]=>0000111=>7
[7,3,5,1,4,2,8,6]=>0011011=>7
[5,4,7,1,3,2,8,6]=>0101011=>7
[6,1,4,7,5,3,8,2]=>0001111=>7
[8,7,4,3,1,5,6,2]=>0110111=>7
[8,7,1,4,3,5,6,2]=>0010111=>7
[6,1,8,4,7,3,2,5]=>0100111=>7
[4,7,3,6,1,2,8,5]=>0000111=>7
[5,2,1,7,4,3,8,6]=>1011011=>7
[4,7,6,2,3,1,8,5]=>0100111=>7
[7,6,8,2,5,3,4,1]=>0011011=>7
[2,3,6,1,8,7,5,4]=>0001111=>7
[2,6,8,7,5,3,1,4]=>0101011=>7
[6,4,1,7,5,2,8,3]=>0011111=>7
[5,7,8,2,3,6,1,4]=>0000101=>7
[4,8,7,1,2,5,6,3]=>0000111=>7
[2,8,7,4,1,5,6,3]=>0010111=>7
[8,6,2,1,5,7,4,3]=>1010111=>7
[3,8,6,7,5,2,1,4]=>1001011=>7
[6,1,3,7,5,8,2,4]=>0000111=>7
[4,7,3,1,8,5,6,2]=>0100111=>7
[2,6,7,5,3,4,8,1]=>0001011=>7
[2,6,4,5,7,3,8,1]=>0000111=>7
[6,1,4,5,8,3,7,2]=>0000111=>7
[6,1,8,5,3,4,7,2]=>0001111=>7
[4,1,5,6,8,3,7,2]=>0010011=>7
[6,4,1,8,7,2,5,3]=>0011111=>7
[8,1,2,3,4,5,6,7,10,9]=>000000101=>9
[1,7,2,3,4,5,6,9,8]=>00000101=>8
[6,9,1,2,3,4,5,7,8]=>00000001=>8
[1,3,8,5,2,7,4,6]=>0001011=>7
[1,3,8,6,7,2,4,5]=>0000011=>7
[2,8,3,7,6,1,4,5]=>0000111=>7
[4,2,7,8,6,1,3,5]=>0010101=>7
[1,3,8,7,6,2,4,5]=>0000111=>7
[7,4,6,8,5,2,3,1]=>0101011=>7
[7,5,3,6,8,2,1,4]=>1001011=>7
[5,2,6,7,8,1,3,4]=>0001001=>7
[4,5,6,8,1,2,7,3]=>0000011=>7
[3,5,8,6,1,2,7,4]=>0000111=>7
[4,2,6,8,7,1,3,5]=>0010011=>7
[1,4,6,8,7,2,3,5]=>0000011=>7
[4,5,3,8,1,7,2,6]=>0001011=>7
[3,5,8,4,1,7,2,6]=>0010011=>7
[1,6,5,7,8,2,3,4]=>0000101=>7
[5,6,4,8,2,3,7,1]=>0000111=>7
[6,5,4,8,1,3,7,2]=>0001111=>7
[7,6,4,8,5,1,3,2]=>0101111=>7
[7,2,6,5,8,1,3,4]=>0000111=>7
[6,3,7,5,2,4,8,1]=>0001111=>7
[8,1,2,7,4,5,3,6]=>0001011=>7
[2,5,7,4,6,1,3,8]=>0000110=>7
[6,1,7,4,5,3,8,2]=>0001111=>7
[8,2,7,3,1,5,4,6]=>0101011=>7
[2,6,4,8,3,1,7,5]=>0100111=>7
[8,1,3,7,5,6,4,2]=>0010111=>7
[1,2,5,3,8,6,7,4]=>0001011=>7
[4,1,6,5,7,8,2,3]=>0010101=>7
[6,1,3,7,4,2,8,5]=>0010111=>7
[6,7,2,4,1,3,8,5]=>0010011=>7
[7,3,8,4,2,6,5,1]=>0011111=>7
[8,5,3,4,2,7,1,6]=>0011011=>7
[1,3,8,2,5,6,7,4]=>0000011=>7
[1,8,6,7,2,5,4,3]=>0011011=>7
[7,6,8,3,5,4,2,1]=>1011011=>7
[1,6,7,3,8,5,4,2]=>0011011=>7
[8,7,2,4,6,1,5,3]=>0001111=>7
[7,8,6,5,2,4,3,1]=>0111101=>7
[3,6,7,5,2,8,4,1]=>0011011=>7
[5,4,6,7,8,1,3,2]=>0101001=>7
[5,3,6,7,8,1,4,2]=>0011001=>7
[5,3,7,6,8,4,1,2]=>0011011=>7
[7,5,3,2,8,6,4,1]=>0111111=>7
[5,4,8,6,7,2,3,1]=>0101011=>7
[5,4,8,6,3,1,2,7]=>0101101=>7
[4,5,7,3,6,2,8,1]=>0000111=>7
[4,5,6,3,8,2,7,1]=>0000111=>7
[5,4,8,7,2,1,3,6]=>1001011=>7
[2,5,4,7,8,1,3,6]=>0001001=>7
[5,3,6,4,8,2,7,1]=>0001111=>7
[5,3,7,4,6,2,8,1]=>0001111=>7
[8,2,6,3,7,4,5,1]=>0001111=>7
[8,2,4,7,3,5,6,1]=>0000111=>7
[8,2,6,5,7,3,4,1]=>0010111=>7
[4,5,6,2,7,3,8,1]=>0000111=>7
[5,4,6,2,8,3,7,1]=>0001111=>7
[8,4,6,1,7,2,5,3]=>0001111=>7
[5,2,1,6,3,8,7,4]=>1001111=>7
[4,5,6,3,7,1,8,2]=>0000111=>7
[6,3,2,8,5,4,1,7]=>0111101=>7
[4,3,1,5,2,8,6,7]=>0111001=>7
[8,5,4,1,3,2,6,7]=>0111001=>7
[3,8,4,1,5,2,6,7]=>0011001=>7
[2,5,4,3,8,1,6,7]=>0011001=>7
[2,5,7,4,3,1,6,8]=>0110010=>7
[5,3,4,2,7,1,6,8]=>0011010=>7
[3,7,5,4,1,2,6,8]=>0011010=>7
[4,2,5,1,3,8,7,6]=>0011011=>7
[4,3,5,1,2,7,6,8]=>0011010=>7
[5,3,4,1,7,2,6,8]=>0011010=>7
[4,1,6,3,5,2,7,8]=>0011100=>7
[4,2,1,8,6,3,7,5]=>1010111=>7
[3,1,7,2,5,6,4,8]=>0100110=>7
[3,7,5,4,2,1,6,8]=>1011010=>7
[3,7,2,4,1,6,5,8]=>0010110=>7
[7,3,2,1,6,4,5,8]=>1100110=>7
[2,8,6,1,7,4,3,5]=>0010111=>7
[2,5,4,6,1,3,7,8]=>0001100=>7
[2,5,6,4,1,3,7,8]=>0010100=>7
[8,5,2,6,1,3,7,4]=>0001111=>7
[7,1,5,6,3,2,4,8]=>0100110=>7
[7,1,2,5,4,6,3,8]=>0001110=>7
[2,4,1,6,5,3,7,8]=>0011100=>7
[4,1,2,7,5,6,3,8]=>0010110=>7
[7,1,2,6,5,4,3,8]=>0011110=>7
[8,2,1,5,6,3,7,4]=>1000111=>7
[2,8,5,1,6,4,7,3]=>0001111=>7
[6,1,4,5,3,2,7,8]=>0101100=>7
[3,1,6,5,4,2,7,8]=>0111100=>7
[3,1,4,6,5,2,7,8]=>0101100=>7
[6,4,1,5,3,2,8,7]=>0111101=>7
[2,1,8,6,3,7,5,4]=>1001111=>7
[5,8,3,1,7,6,4,2]=>0110111=>7
[7,6,3,2,8,5,1,4]=>0101111=>7
[5,6,3,8,7,4,1,2]=>0010111=>7
[5,2,6,8,7,4,1,3]=>0011011=>7
[4,3,8,5,7,2,6,1]=>0010111=>7
[6,3,8,5,4,1,2,7]=>0011101=>7
[6,3,8,4,5,1,2,7]=>0001101=>7
[5,2,3,1,4,8,6,7]=>0101001=>7
[5,4,1,3,2,8,6,7]=>0111001=>7
[5,1,3,4,2,8,6,7]=>0011001=>7
[5,2,1,4,3,8,6,7]=>1011001=>7
[4,2,7,3,8,5,1,6]=>0011011=>7
[4,7,3,2,8,5,1,6]=>0101011=>7
[5,3,1,2,4,8,6,7]=>0101001=>7
[5,4,3,1,2,8,6,7]=>0111001=>7
[5,3,4,1,2,8,6,7]=>0011001=>7
[5,2,3,4,1,8,6,7]=>0011001=>7
[5,1,7,3,4,6,8,2]=>0001011=>7
[5,8,7,4,3,1,6,2]=>0110111=>7
[6,8,1,3,4,5,7,2]=>0000011=>7
[3,5,2,8,1,6,7,4]=>0001011=>7
[3,1,7,8,2,5,4,6]=>0101001=>7
[6,2,3,7,4,1,8,5]=>0010111=>7
[6,3,7,4,1,2,5,8]=>0010110=>7
[7,2,6,8,4,3,1,5]=>0110011=>7
[3,7,2,8,6,5,1,4]=>0001111=>7
[3,6,7,5,1,2,4,8]=>0001010=>7
[7,4,5,1,8,2,3,6]=>0001011=>7
[7,2,3,1,8,4,5,6]=>0100011=>7
[2,1,4,8,3,7,5,6]=>1000011=>7
[4,8,1,6,7,3,2,5]=>0100011=>7
[1,2,7,8,4,3,6,5]=>0010101=>7
[5,8,1,4,3,2,7,6]=>0110011=>7
[4,8,1,3,5,6,2,7]=>0000101=>7
[5,3,7,8,4,2,6,1]=>0011101=>7
[6,3,7,8,2,4,5,1]=>0001101=>7
[8,5,2,4,3,1,7,6]=>0111011=>7
[7,5,4,2,3,1,8,6]=>0111011=>7
[3,5,6,4,8,1,7,2]=>0000111=>7
[3,5,4,6,7,1,8,2]=>0001011=>7
[1,4,2,6,5,8,7,3]=>0010111=>7
[1,3,2,6,4,8,7,5]=>0100111=>7
[1,4,2,5,3,8,7,6]=>0011011=>7
[1,5,2,6,4,8,7,3]=>0001111=>7
[1,6,2,5,3,8,7,4]=>0001111=>7
[2,5,1,4,3,8,7,6]=>0011011=>7
[1,7,3,5,4,8,6,2]=>0001111=>7
[1,8,2,6,3,7,5,4]=>0001111=>7
[1,8,3,6,4,7,5,2]=>0001111=>7
[1,7,2,6,4,8,5,3]=>0001111=>7
[1,7,2,6,3,8,5,4]=>0001111=>7
[1,5,2,7,4,8,6,3]=>0001111=>7
[1,4,2,8,5,7,6,3]=>0010111=>7
[4,8,1,3,2,6,5,7]=>0100101=>7
[1,5,3,8,4,7,6,2]=>0001111=>7
[1,8,4,7,3,6,5,2]=>0001111=>7
[2,6,3,8,1,5,4,7]=>0001101=>7
[8,3,1,4,2,6,5,7]=>0110101=>7
[4,8,7,3,5,2,1,6]=>1001011=>7
[6,8,7,3,5,2,4,1]=>0011011=>7
[8,3,5,1,2,6,4,7]=>0001101=>7
[8,6,3,1,5,4,2,7]=>0111101=>7
[8,6,4,1,5,3,2,7]=>0111101=>7
[8,6,5,4,1,3,2,7]=>0111101=>7
[5,3,8,7,4,6,2,1]=>1001111=>7
[2,3,8,7,4,6,1,5]=>0000111=>7
[8,3,5,7,4,1,2,6]=>0010011=>7
[4,8,5,3,1,2,7,6]=>0101011=>7
[6,8,7,3,1,5,4,2]=>0111011=>7
[6,8,5,4,1,3,7,2]=>0011011=>7
[2,5,8,7,4,6,3,1]=>0100111=>7
[4,8,7,6,5,1,3,2]=>0101111=>7
[3,8,7,5,1,6,2,4]=>0001111=>7
[2,3,8,7,5,6,1,4]=>0000111=>7
[2,8,7,1,3,6,4,5]=>0000111=>7
[8,5,4,7,2,1,3,6]=>1001011=>7
[6,8,7,3,5,2,1,4]=>1001011=>7
[3,5,8,6,4,2,7,1]=>0010111=>7
[6,8,4,1,5,2,7,3]=>0011011=>7
[6,8,2,1,7,5,3,4]=>1001011=>7
[5,8,4,6,1,2,7,3]=>0000111=>7
[2,4,8,6,5,1,7,3]=>0001111=>7
[4,8,7,6,5,2,1,3]=>1001111=>7
[4,8,7,5,1,6,2,3]=>0001111=>7
[4,5,2,1,8,6,7,3]=>1001011=>7
[4,5,8,3,1,6,7,2]=>0100011=>7
[5,7,2,8,4,6,1,3]=>0000111=>7
[6,7,3,2,4,8,5,1]=>0101011=>7
[7,2,8,6,4,5,1,3]=>0001111=>7
[8,7,2,6,5,1,3,4]=>0001111=>7
[5,2,7,8,4,1,3,6]=>0011001=>7
[2,7,8,6,4,1,3,5]=>0010101=>7
[7,6,3,5,2,8,4,1]=>0011111=>7
[6,2,7,4,8,5,3,1]=>0101111=>7
[8,6,5,1,7,2,4,3]=>0011111=>7
[6,8,5,1,7,3,2,4]=>0101011=>7
[1,6,8,3,7,4,2,5]=>0010011=>7
[5,1,6,3,4,8,2,7]=>0001101=>7
[3,5,2,6,4,8,1,7]=>0001101=>7
[3,5,2,4,8,1,7,6]=>0001011=>7
[6,3,8,2,4,1,7,5]=>0010111=>7
[4,6,3,8,7,5,2,1]=>1001111=>7
[6,3,8,7,5,4,2,1]=>1011111=>7
[6,8,4,2,1,7,5,3]=>1011011=>7
[5,2,6,4,3,8,1,7]=>0011101=>7
[6,5,3,1,4,8,2,7]=>0101101=>7
[3,1,7,8,6,4,2,5]=>0110101=>7
[3,8,1,7,6,2,5,4]=>0001111=>7
[8,1,7,6,4,2,5,3]=>0011111=>7
[7,2,6,3,8,5,4,1]=>0011111=>7
[7,3,8,6,4,1,5,2]=>0011111=>7
[1,7,5,8,2,4,3,6]=>0010011=>7
[6,1,5,2,4,8,3,7]=>0001101=>7
[1,5,6,3,8,2,4,7]=>0000101=>7
[8,7,1,3,6,5,2,4]=>0001111=>7
[2,6,7,4,3,8,5,1]=>0011011=>7
[5,2,4,7,3,8,6,1]=>0001111=>7
[1,5,8,7,2,4,6,3]=>0000111=>7
[1,4,8,7,3,6,5,2]=>0001111=>7
[8,3,7,2,5,1,6,4]=>0001111=>7
[3,7,2,8,1,5,4,6]=>0001011=>7
[3,2,6,1,5,8,4,7]=>0100101=>7
[7,2,1,5,8,4,3,6]=>1010011=>7
[7,2,8,1,4,3,6,5]=>0010111=>7
[1,7,8,3,2,6,5,4]=>0101101=>7
[1,7,4,8,3,2,6,5]=>0100111=>7
[1,7,5,4,8,3,2,6]=>0101011=>7
[6,1,5,4,3,8,2,7]=>0011101=>7
[1,7,4,5,6,8,2,3]=>0000011=>7
[1,3,4,5,6,7,9,8,2]=>00000011=>8
[2,3,4,5,6,7,9,8,1,10]=>000000110=>9
[7,3,4,5,6,8,1,2,9]=>00000110=>8
[2,3,4,5,7,6,8,1,9]=>00000110=>8
[1,8,4,5,6,7,9,2,3]=>00000011=>8
[1,3,4,5,6,8,7,9,2]=>00000011=>8
[1,3,4,5,6,7,8,10,9,2]=>000000011=>9
[1,6,4,2,3,5,7,8]=>0010100=>7
[1,8,7,2,3,4,5,6]=>0000011=>7
[1,5,8,6,2,3,4,7]=>0000101=>7
[1,6,5,7,2,3,4,8]=>0000110=>7
[1,7,5,6,2,3,4,8]=>0000110=>7
[1,3,2,7,6,4,5,8]=>0100110=>7
[1,2,3,7,6,4,5,8]=>0000110=>7
[1,5,4,2,3,7,6,8]=>0011010=>7
[1,5,4,2,3,8,6,7]=>0011001=>7
[1,3,2,8,6,4,5,7]=>0100101=>7
[1,7,5,8,2,3,4,6]=>0000011=>7
[1,8,7,5,2,3,4,6]=>0001011=>7
[2,1,5,8,6,3,7,4]=>1000111=>7
[2,5,8,4,6,1,7,3]=>0000111=>7
[2,5,3,8,6,1,7,4]=>0001111=>7
[2,6,3,5,8,1,7,4]=>0000111=>7
[6,3,2,5,8,1,7,4]=>0100111=>7
[5,3,2,8,6,1,7,4]=>0101111=>7
[5,8,4,6,1,3,7,2]=>0000111=>7
[5,3,8,6,1,4,7,2]=>0001111=>7
[2,6,5,4,8,1,7,3]=>0001111=>7
[8,3,5,7,2,6,4,1]=>0010111=>7
[2,4,6,8,5,3,7,1]=>0001011=>7
[2,4,8,1,7,6,5,3]=>0001111=>7
[4,3,8,1,5,7,6,2]=>0010111=>7
[3,8,4,1,5,7,6,2]=>0010111=>7
[4,3,6,8,5,2,7,1]=>0011011=>7
[8,5,4,7,2,6,3,1]=>0101111=>7
[3,6,8,5,4,2,7,1]=>0011011=>7
[3,6,4,8,5,2,7,1]=>0001111=>7
[3,6,4,1,8,2,7,5]=>0010111=>7
[3,6,4,1,5,2,8,7]=>0011101=>7
[4,8,6,5,1,3,7,2]=>0001111=>7
[2,8,3,5,6,7,1,4]=>0000011=>7
[5,6,2,4,7,1,8,3]=>0000111=>7
[2,7,5,4,6,1,8,3]=>0001111=>7
[2,3,7,4,6,1,8,5]=>0000111=>7
[2,6,7,4,1,3,8,5]=>0010011=>7
[6,5,7,4,1,3,8,2]=>0010111=>7
[2,4,6,3,5,7,8,1]=>0000101=>7
[4,1,6,3,5,7,8,2]=>0010101=>7
[3,6,4,2,5,7,8,1]=>0010101=>7
[2,3,6,1,5,7,8,4]=>0000101=>7
[4,3,6,2,5,7,8,1]=>0010101=>7
[4,6,1,2,5,7,8,3]=>0000101=>7
[2,6,4,1,5,7,8,3]=>0010101=>7
[2,4,1,6,5,7,8,3]=>0010101=>7
[7,5,4,2,6,1,8,3]=>0011111=>7
[4,7,3,1,8,6,5,2]=>0101111=>7
[5,6,4,2,7,1,8,3]=>0010111=>7
[4,2,7,5,3,1,8,6]=>0111011=>7
[5,3,6,4,8,2,1,7]=>1001101=>7
[7,3,2,5,4,1,8,6]=>0111011=>7
[7,3,2,5,1,8,6,4]=>0101111=>7
[4,6,3,8,7,2,1,5]=>1000111=>7
[4,7,6,3,8,2,1,5]=>1000111=>7
[4,7,3,8,6,2,1,5]=>1000111=>7
[5,7,3,2,6,1,8,4]=>0100111=>7
[5,7,3,2,6,4,1,8]=>0110110=>7
[2,7,5,3,1,8,6,4]=>0101111=>7
[7,5,2,8,4,3,1,6]=>0111011=>7
[7,3,2,4,1,8,6,5]=>0110111=>7
[8,4,3,2,7,5,1,6]=>0111011=>7
[4,3,7,5,8,2,1,6]=>1010011=>7
[4,3,7,5,2,6,1,8]=>0011110=>7
[8,4,5,3,7,2,1,6]=>1001011=>7
[4,3,5,2,8,6,1,7]=>0011101=>7
[4,5,3,6,8,2,1,7]=>1001001=>7
[1,2,3,4,5,9,7,8,6]=>00000011=>8
[1,2,3,4,9,6,7,8,5]=>00000011=>8
[1,2,3,9,5,6,7,8,4]=>00000011=>8
[1,2,9,4,5,6,7,8,3]=>00000011=>8
[1,2,3,4,5,6,10,8,9,7]=>000000011=>9
[1,2,3,4,9,7,6,8,5]=>00000111=>8
[1,2,3,4,5,10,7,8,9,6]=>000000011=>9
[1,2,8,6,4,5,7,3]=>0000111=>7
[1,2,3,9,6,5,7,8,4]=>00001011=>8
[1,2,3,4,10,6,7,8,9,5]=>000000011=>9
[1,8,5,3,4,6,7,2]=>0001011=>7
[1,2,9,5,4,6,7,8,3]=>00010011=>8
[1,2,3,10,5,6,7,8,9,4]=>000000011=>9
[1,9,4,3,5,6,7,8,2]=>00100011=>8
[1,2,10,4,5,6,7,8,9,3]=>000000011=>9
[9,3,2,4,5,6,7,8,1]=>01000011=>8
[10,2,3,4,5,6,7,8,9,1]=>000000011=>9
[3,5,6,7,8,9,4,2,1]=>10100001=>8
[7,8,4,1,6,3,5,2]=>0011101=>7
[8,7,5,6,1,3,4,2]=>0010111=>7
[1,2,3,5,7,4,6,9,8]=>00000101=>8
[1,2,3,6,4,7,5,9,8]=>00001101=>8
[1,2,3,4,6,8,5,7,10,9]=>000000101=>9
[1,2,3,4,6,8,5,7,9]=>00000010=>8
[1,2,3,4,7,5,8,6,9]=>00000110=>8
[1,2,3,4,7,5,8,6,10,9]=>000001101=>9
[1,2,3,4,6,8,5,7,10,9,11]=>0000001010=>10
[1,2,3,5,7,4,6,9,8,10]=>000001010=>9
[1,2,5,7,3,4,6,9,8]=>00000101=>8
[1,2,4,5,7,3,6,9,8]=>00000101=>8
[1,2,6,3,4,7,5,9,8]=>00001101=>8
[1,2,5,6,3,7,4,9,8]=>00001101=>8
[1,2,3,6,4,7,5,9,8,10]=>000011010=>9
[1,2,3,4,7,5,8,6,10,9,11]=>0000011010=>10
[3,2,6,4,1,8,5,7]=>0110101=>7
[2,8,6,5,3,1,4,7]=>0101101=>7
[5,4,8,6,2,3,1,7]=>0101101=>7
[4,8,7,5,2,3,1,6]=>0101011=>7
[5,2,4,7,6,8,3,1]=>0101011=>7
[3,4,2,8,7,5,1,6]=>0011011=>7
[8,5,7,6,3,2,4,1]=>0110111=>7
[6,4,1,8,7,3,2,5]=>0110111=>7
[1,8,5,4,2,7,3,6]=>0011011=>7
[3,7,6,1,5,8,4,2]=>0010111=>7
[3,6,5,8,2,7,4,1]=>0010111=>7
[8,3,2,7,4,6,5,1]=>0101111=>7
[7,5,8,4,1,3,6,2]=>0010111=>7
[7,1,6,2,3,8,4,5]=>0000111=>7
[6,4,7,1,3,2,8,5]=>0100111=>7
[5,1,3,8,7,2,6,4]=>0001111=>7
[8,7,1,6,2,5,3,4]=>0001111=>7
[3,8,5,2,4,7,6,1]=>0001111=>7
[7,1,5,2,4,8,3,6]=>0001011=>7
[3,8,5,1,4,7,2,6]=>0001011=>7
[7,2,5,4,1,3,8,6]=>0011011=>7
[7,5,8,1,6,3,2,4]=>0100111=>7
[7,1,4,8,5,6,2,3]=>0000111=>7
[2,3,1,9,4,5,6,7,8]=>01000001=>8
[4,9,1,2,3,5,6,7,8]=>00000001=>8
[3,9,1,2,4,5,6,7,8]=>00000001=>8
[6,8,1,9,2,3,4,5,7]=>00000011=>8
[7,10,1,2,3,4,5,6,8,9]=>000000001=>9
[6,10,1,2,3,4,5,7,8,9]=>000000001=>9
[4,8,1,2,3,9,5,6,7]=>00000011=>8
[3,8,1,2,4,5,9,6,7]=>00000011=>8
[4,10,1,2,3,5,6,7,8,9]=>000000001=>9
[3,10,1,2,4,5,6,7,8,9]=>000000001=>9
[1,8,2,3,4,5,6,7,9]=>00000010=>8
[7,4,6,1,3,2,5,8]=>0100110=>7
[1,4,5,8,6,3,2,7]=>0100101=>7
[8,4,5,7,2,6,1,3]=>0000111=>7
[4,5,2,6,7,3,1,8]=>0101010=>7
[8,1,7,5,3,6,2,4]=>0001111=>7
[5,2,6,3,1,7,8,4]=>0101101=>7
[4,3,5,1,6,7,8,2]=>0011001=>7
[5,7,6,1,2,3,8,4]=>0000111=>7
[3,6,7,5,1,2,8,4]=>0001011=>7
[1,7,6,8,5,2,4,3]=>0011011=>7
[5,7,6,8,1,2,4,3]=>0010011=>7
[5,6,3,7,1,4,8,2]=>0000111=>7
[5,3,2,1,8,6,4,7]=>1101101=>7
[9,8,7,5,6,4,3,2,1]=>11101111=>8
[2,1,9,8,6,7,5,4,3]=>10110111=>8
[10,9,8,7,5,6,4,3,2,1]=>111011111=>9
[9,8,7,5,4,6,3,2,1]=>11011111=>8
[9,8,7,4,6,5,3,2,1]=>11011111=>8
[2,1,9,8,6,5,7,4,3]=>10101111=>8
[2,1,9,8,5,7,6,4,3]=>10101111=>8
[2,1,10,9,8,6,7,5,4,3]=>101101111=>9
[1,8,7,6,5,4,3,2,9]=>01111110=>8
[1,9,8,7,6,5,4,3,2,10]=>011111110=>9
[2,1,8,7,6,5,4,3,9]=>10111110=>8
[2,8,9,7,6,5,4,3,1]=>01111101=>8
[7,8,6,1,4,5,2,3]=>0001101=>7
[1,8,5,4,6,7,2,3]=>0001011=>7
[6,5,8,3,7,2,1,4]=>1000111=>7
[7,8,5,3,6,2,1,4]=>1001101=>7
[7,8,5,3,6,2,4,1]=>0011101=>7
[7,8,4,3,2,6,5,1]=>0111101=>7
[1,8,4,3,2,6,7,5]=>0110011=>7
[5,4,3,8,2,1,7,6]=>1011011=>7
[6,4,8,3,2,1,7,5]=>1100111=>7
[1,8,4,3,2,7,6,5]=>0110111=>7
[6,5,8,3,1,2,7,4]=>0100111=>7
[1,8,6,7,3,2,4,5]=>0100011=>7
[7,8,6,1,3,2,4,5]=>0100101=>7
[1,8,4,3,2,7,5,6]=>0110011=>7
[5,4,3,8,2,1,6,7]=>1011001=>7
[1,8,4,3,2,5,7,6]=>0110011=>7
[5,4,3,8,2,6,7,1]=>0011011=>7
[4,5,6,7,8,1,2,9,3]=>00000011=>8
[4,5,6,7,1,2,8,9,3]=>00000101=>8
[4,5,6,1,2,7,8,9,3]=>00001001=>8
[4,5,1,2,6,7,8,9,3]=>00010001=>4
[8,6,3,2,5,4,7,1]=>0101111=>7
[7,2,3,4,5,8,1,6]=>0000011=>7
[7,2,8,1,5,3,4,6]=>0001011=>7
[4,8,2,5,7,3,1,6]=>0100011=>7
[3,8,6,2,7,4,5,1]=>0001111=>7
[7,3,6,2,8,1,5,4]=>0001111=>7
[8,1,5,2,3,7,6,4]=>0001111=>7
[6,4,2,3,7,8,5,1]=>0011101=>7
[4,3,6,2,1,8,7,5]=>1010111=>7
[3,7,4,5,1,6,2,8]=>0001110=>7
[3,6,4,5,8,2,1,7]=>1000101=>7
[6,1,4,5,2,8,7,3]=>0001111=>7
[7,2,4,5,1,6,3,8]=>0001110=>7
[7,5,4,1,6,3,2,8]=>0111110=>7
[1,5,4,8,6,3,2,7]=>0101101=>7
[7,5,4,8,6,3,1,2]=>0101111=>7
[1,8,7,5,3,6,4,2]=>0011111=>7
[8,3,7,4,1,6,2,5]=>0010111=>7
[8,5,4,1,6,3,2,7]=>0111101=>7
[1,7,4,2,6,5,3,8]=>0011110=>7
[8,2,1,5,6,7,3,4]=>1000011=>7
[6,3,1,8,4,7,2,5]=>0100111=>7
[7,1,4,8,6,3,2,5]=>0100111=>7
[4,1,8,5,6,7,2,3]=>0010011=>7
[5,7,4,8,6,2,1,3]=>1000111=>7
[5,3,6,8,2,7,1,4]=>0001011=>7
[6,3,7,4,8,2,1,5]=>1000111=>7
[5,3,6,1,4,7,2,8]=>0001110=>7
[4,3,6,8,2,7,1,5]=>0010011=>7
[5,3,7,4,8,2,1,6]=>1001011=>7
[5,3,8,4,1,6,2,7]=>0011101=>7
[5,3,8,1,4,7,2,6]=>0001011=>7
[5,8,4,1,6,3,2,7]=>0110101=>7
[7,3,8,4,1,6,2,5]=>0010111=>7
[1,5,8,3,6,7,4,2]=>0010011=>7
[1,8,2,5,6,7,3,4]=>0000011=>7
[7,8,4,1,6,5,2,3]=>0011101=>7
[6,3,8,1,5,7,2,4]=>0000111=>7
[8,3,1,2,5,7,4,6]=>0100011=>7
[8,1,4,2,6,5,3,7]=>0011101=>7
[7,8,1,2,3,4,5,9,6]=>00000011=>8
[2,8,9,1,3,4,5,6,7]=>00000001=>8
[2,8,9,10,1,3,4,5,6,7]=>000000001=>9
[7,1,8,2,9,3,4,5,6]=>00000111=>8
[6,1,7,2,8,3,9,4,5]=>00001111=>8
[5,1,6,2,7,3,8,4,9]=>00011110=>8
[8,1,9,2,10,3,4,5,6,7]=>000000111=>9
[7,1,8,2,3,9,4,5,6]=>00000111=>8
[7,1,8,2,9,3,10,4,5,6]=>000001111=>9
[6,1,7,2,8,3,4,9,5]=>00001111=>8
[5,1,6,2,7,3,9,4,8]=>00011101=>8
[5,1,6,2,7,3,8,4,10,9]=>000111101=>9
[4,1,5,2,7,3,8,6,9]=>00110110=>8
[4,1,5,2,6,3,8,7,10,9]=>001110101=>9
[5,1,3,7,4,8,2,6]=>0001011=>7
[5,1,3,4,7,8,2,6]=>0001001=>7
[2,5,8,7,4,3,6,1]=>0010111=>7
[5,1,7,8,3,4,2,6]=>0011001=>7
[2,5,4,8,3,7,6,1]=>0001111=>7
[5,6,8,2,3,4,1,7]=>0010001=>7
[2,3,5,7,4,6,8,1]=>0000011=>7
[4,5,2,3,8,6,1,7]=>0001101=>7
[3,7,4,5,8,1,2,6]=>0000011=>7
[3,7,8,1,4,5,2,6]=>0001001=>7
[5,8,2,1,6,3,4,7]=>1000101=>7
[4,8,1,3,7,5,2,6]=>0001011=>7
[2,4,7,8,5,3,6,1]=>0001101=>7
[5,3,1,4,7,2,8,6]=>0101011=>7
[4,3,8,5,1,2,7,6]=>0011011=>7
[2,4,7,5,8,3,6,1]=>0000111=>7
[4,3,5,8,2,1,7,6]=>1010011=>7
[4,8,5,3,7,1,2,6]=>0001011=>7
[4,8,5,7,3,1,2,6]=>0100011=>7
[4,8,7,5,1,3,2,6]=>0101011=>7
[4,2,8,5,1,3,6,7]=>0011001=>7
[3,7,8,4,1,5,2,6]=>0011001=>7
[3,4,7,5,8,2,1,6]=>1000011=>7
[1,8,5,7,2,4,3,6]=>0010011=>7
[1,8,5,4,2,3,6,7]=>0011001=>7
[1,3,6,8,5,4,2,7]=>0011001=>7
[1,6,3,8,2,7,4,5]=>0000111=>7
[1,4,2,7,5,8,3,6]=>0010011=>7
[1,8,2,3,6,7,5,4]=>0001011=>7
[1,3,6,8,2,7,5,4]=>0001011=>7
[1,6,5,4,3,8,2,7]=>0011101=>7
[1,8,3,4,5,6,2,7]=>0000101=>7
[1,8,3,6,2,4,5,7]=>0000101=>7
[1,4,5,8,3,6,2,7]=>0000101=>7
[1,2,7,8,4,5,3,6]=>0001001=>7
[7,6,3,8,5,4,2,1]=>1011111=>7
[6,2,8,7,5,4,1,3]=>0011111=>7
[6,2,8,4,3,7,1,5]=>0010111=>7
[5,2,8,4,3,1,7,6]=>0111011=>7
[1,5,7,3,6,2,8,4]=>0000111=>7
[1,2,5,4,8,3,7,6]=>0001011=>7
[1,4,3,6,8,7,2,5]=>0010011=>7
[3,2,5,7,6,8,1,4]=>0100011=>7
[5,3,2,6,8,4,7,1]=>0101011=>7
[3,1,8,6,4,7,2,5]=>0100111=>7
[3,1,6,8,5,4,2,7]=>0111001=>7
[5,3,2,8,7,6,4,1]=>0111111=>7
[5,3,8,2,7,6,1,4]=>0001111=>7
[6,5,4,8,3,7,2,1]=>1001111=>7
[4,8,5,1,3,7,2,6]=>0001011=>7
[4,3,8,7,2,6,5,1]=>0011111=>7
[2,7,5,1,8,4,6,3]=>0001111=>7
[7,8,5,2,1,6,4,3]=>1011101=>7
[7,6,4,8,1,2,5,3]=>0001111=>7
[7,5,4,8,3,2,6,1]=>0101111=>7
[8,6,4,7,3,2,1,5]=>1100111=>7
[3,8,5,6,2,7,1,4]=>0000111=>7
[2,4,5,8,7,3,1,6]=>0100011=>7
[2,4,5,8,6,7,1,3]=>0000011=>7
[4,3,1,5,6,2,8,7]=>0110101=>7
[4,1,5,8,6,7,2,3]=>0010011=>7
[4,3,7,6,1,2,8,5]=>0010111=>7
[4,7,5,6,1,2,8,3]=>0000111=>7
[4,3,7,5,6,2,8,1]=>0010111=>7
[4,5,1,8,6,7,3,2]=>0101011=>7
[3,4,5,8,6,7,2,1]=>1000011=>7
[2,1,5,8,6,7,4,3]=>1010011=>7
[3,4,5,8,7,1,2,6]=>0000011=>7
[4,7,1,5,6,2,8,3]=>0000111=>7
[2,6,4,7,1,3,8,5]=>0000111=>7
[5,3,8,6,4,7,2,1]=>1001111=>7
[6,4,1,5,7,8,3,2]=>0110101=>7
[3,6,4,7,2,1,8,5]=>1000111=>7
[3,8,4,6,1,7,2,5]=>0000111=>7
[3,8,5,6,4,7,2,1]=>1000111=>7
[3,8,4,5,6,7,2,1]=>1000011=>7
[3,8,6,5,2,7,4,1]=>0011111=>7
[3,8,7,5,2,1,4,6]=>1001011=>7
[3,8,6,5,1,7,2,4]=>0001111=>7
[6,4,1,7,3,2,8,5]=>0110111=>7
[5,1,4,6,7,2,8,3]=>0001011=>7
[6,5,4,7,1,3,8,2]=>0001111=>7
[2,1,6,5,3,7,8,4]=>1001101=>7
[6,1,4,7,2,3,8,5]=>0000111=>7
[2,1,3,4,5,6,8,9,7]=>10000001=>8
[2,1,3,4,5,6,7,9,8]=>10000001=>8
[1,2,3,4,5,6,7,8,10,11,9]=>0000000001=>10
[2,1,3,4,5,6,7,9,10,8]=>100000001=>9
[2,3,1,4,5,6,8,9,7]=>01000001=>8
[1,3,2,4,5,6,8,9,7]=>01000001=>8
[2,3,1,4,5,6,7,9,8]=>01000001=>8
[1,3,2,4,5,6,7,9,8]=>01000001=>8
[2,1,3,4,5,6,7,8,10,9]=>100000001=>9
[1,6,2,5,4,8,3,7]=>0001101=>7
[4,1,2,7,5,8,3,6]=>0010011=>7
[6,1,3,5,8,2,4,7]=>0000101=>7
[5,6,4,3,1,8,2,7]=>0110101=>7
[6,2,3,5,8,1,4,7]=>0000101=>7
[6,7,2,3,8,4,5,1]=>0001011=>7
[6,7,2,1,3,8,4,5]=>1000011=>7
[5,7,4,1,8,3,2,6]=>0110011=>7
[4,1,7,5,8,3,6,2]=>0010111=>7
[6,7,1,3,8,4,5,2]=>0001011=>7
[1,6,7,4,3,8,5,2]=>0011011=>7
[6,1,7,4,2,8,5,3]=>0011111=>7
[2,1,6,7,4,3,8,5]=>1010011=>7
[6,7,3,2,1,8,4,5]=>1100011=>7
[2,5,7,3,1,4,8,6]=>0100011=>7
[6,7,3,2,8,4,5,1]=>0101011=>7
[1,2,6,7,4,3,8,5]=>0010011=>7
[2,7,1,8,4,6,3,5]=>0000111=>7
[2,7,5,8,1,6,3,4]=>0000111=>7
[6,7,1,8,4,5,3,2]=>0101011=>7
[8,3,7,6,1,2,5,4]=>0001111=>7
[8,7,3,4,6,2,5,1]=>0001111=>7
[8,2,5,7,1,4,6,3]=>0000111=>7
[8,2,4,7,1,5,6,3]=>0000111=>7
[8,2,3,4,7,1,5,6]=>0000011=>7
[8,7,3,5,6,2,4,1]=>0010111=>7
[8,7,4,6,5,2,3,1]=>0101111=>7
[8,4,6,7,5,1,2,3]=>0001011=>7
[8,4,6,7,5,1,3,2]=>0101011=>7
[8,3,5,7,6,1,4,2]=>0010111=>7
[8,7,3,6,2,1,5,4]=>1001111=>7
[8,7,3,4,6,2,1,5]=>1000111=>7
[8,7,4,6,5,2,1,3]=>1001111=>7
[8,6,5,2,7,4,3,1]=>0111111=>7
[8,4,3,7,6,5,1,2]=>0011111=>7
[8,5,6,7,4,1,3,2]=>0110011=>7
[8,5,7,6,4,1,2,3]=>0010111=>7
[8,4,2,7,5,1,6,3]=>0011111=>7
[8,3,4,2,7,5,6,1]=>0010111=>7
[8,4,7,6,5,1,2,3]=>0001111=>7
[8,3,5,2,7,4,6,1]=>0001111=>7
[8,5,2,6,7,4,1,3]=>0011011=>7
[8,5,3,7,6,4,1,2]=>0011111=>7
[8,6,2,5,7,3,1,4]=>0100111=>7
[8,6,2,4,7,3,1,5]=>0100111=>7
[8,5,2,3,7,4,1,6]=>0011011=>7
[8,5,3,2,7,6,4,1]=>0111111=>7
[8,6,1,5,4,3,2,7]=>0111101=>7
[2,4,5,8,3,1,6,7]=>0100001=>7
[2,7,4,6,1,5,8,3]=>0000111=>7
[2,4,3,8,5,1,6,7]=>0011001=>7
[7,8,3,2,5,4,6,1]=>0101101=>7
[1,5,6,7,3,8,2,4]=>0000011=>7
[1,6,5,4,8,3,2,7]=>0101101=>7
[1,7,3,5,8,4,6,2]=>0000111=>7
[7,2,1,6,4,8,5,3]=>1001111=>7
[7,5,8,3,2,4,6,1]=>0100111=>7
[3,8,7,2,4,6,5,1]=>0001111=>7
[1,3,7,6,4,8,5,2]=>0001111=>7
[3,1,8,7,6,4,2,5]=>0110111=>7
[3,1,8,7,5,4,2,6]=>0111011=>7
[3,1,7,6,5,4,2,8]=>0111110=>7
[4,7,1,6,5,3,2,8]=>0101110=>7
[4,8,1,6,5,3,2,7]=>0101101=>7
[8,4,1,7,6,3,2,5]=>0110111=>7
[5,4,1,8,6,3,2,7]=>0111101=>7
[5,4,1,7,6,3,2,8]=>0111110=>7
[6,4,1,8,5,3,2,7]=>0111101=>7
[8,4,1,7,5,3,2,6]=>0111011=>7
[7,4,1,6,5,3,2,8]=>0111110=>7
[7,5,6,1,4,3,2,8]=>0110110=>7
[8,5,6,1,4,3,2,7]=>0110101=>7
[8,5,7,1,4,3,2,6]=>0110011=>7
[5,7,6,1,4,3,2,8]=>0110110=>7
[5,8,6,1,4,3,2,7]=>0110101=>7
[6,7,5,1,4,3,2,8]=>0111010=>7
[8,7,5,1,4,3,2,6]=>0111011=>7
[8,6,5,1,4,3,2,7]=>0111101=>7
[8,6,1,7,2,5,3,4]=>0001111=>7
[1,8,6,3,4,2,5,7]=>0010101=>7
[3,1,6,4,5,8,7,2]=>0100111=>7
[3,1,6,4,5,2,7,8]=>0101100=>7
[3,1,6,4,5,8,2,7]=>0100101=>7
[3,1,6,4,5,7,2,8]=>0100110=>7
[4,6,8,7,2,5,1,3]=>0001011=>7
[7,6,3,8,4,5,2,1]=>1001111=>7
[8,2,7,6,1,4,3,5]=>0010111=>7
[5,2,7,8,1,4,3,6]=>0011001=>7
[5,6,3,8,4,1,2,7]=>0010101=>7
[8,2,7,6,1,4,5,3]=>0001111=>7
[5,2,3,4,7,1,6,8]=>0001010=>7
[5,2,3,7,1,6,8,4]=>0001011=>7
[8,7,5,3,1,6,4,2]=>0111111=>7
[1,4,7,8,5,2,3,6]=>0001001=>7
[3,2,6,7,4,1,5,8]=>0110010=>7
[5,8,3,7,6,4,1,2]=>0010111=>7
[6,5,1,7,2,4,8,3]=>0001111=>7
[3,6,7,1,4,2,5,8]=>0010010=>7
[4,7,5,8,2,1,3,6]=>1000011=>7
[8,1,2,7,5,4,3,6]=>0011011=>7
[6,5,1,8,3,7,2,4]=>0001111=>7
[1,8,7,5,3,2,6,4]=>0101111=>7
[7,8,1,5,4,2,3,6]=>0011001=>7
[2,7,5,1,4,6,3,8]=>0001110=>7
[3,4,6,8,1,5,7,2]=>0000011=>7
[6,8,1,7,5,4,2,3]=>0011011=>7
[7,6,3,1,2,8,5,4]=>0101111=>7
[6,3,5,7,1,4,2,8]=>0010110=>7
[5,2,6,7,4,8,1,3]=>0001011=>7
[1,7,5,2,6,4,8,3]=>0001111=>7
[7,1,3,6,8,2,4,5]=>0000011=>7
[1,2,5,7,8,4,6,3]=>0000101=>7
[3,1,2,7,5,4,8,6]=>0101011=>7
[6,7,4,1,3,2,8,5]=>0110011=>7
[1,7,2,8,4,3,5,6]=>0010011=>7
[1,6,3,5,7,8,2,4]=>0000101=>7
[8,6,1,7,5,2,4,3]=>0011111=>7
[7,6,4,1,8,3,2,5]=>0110111=>7
[8,4,1,6,5,2,7,3]=>0011111=>7
[1,5,3,4,7,8,2,6]=>0001001=>7
[4,2,1,5,7,8,3,6]=>1010001=>7
[5,4,1,6,7,8,2,3]=>0011001=>7
[5,1,4,6,7,8,2,3]=>0001001=>7
[4,1,5,3,7,8,2,6]=>0011001=>7
[8,1,4,6,5,2,7,3]=>0001111=>7
[7,1,5,4,6,3,2,8]=>0101110=>7
[8,2,1,6,7,5,4,3]=>1011011=>7
[1,2,4,7,6,3,8,5]=>0000111=>7
[6,7,4,1,8,5,2,3]=>0011011=>7
[8,6,4,1,5,7,3,2]=>0110111=>7
[5,2,4,3,7,1,6,8]=>0011010=>7
[6,1,5,4,8,3,2,7]=>0101101=>7
[1,2,8,7,4,3,6,5]=>0010111=>7
[3,2,1,7,5,8,4,6]=>1100011=>7
[1,3,6,4,7,8,2,5]=>0000101=>7
[4,5,1,3,7,8,2,6]=>0001001=>7
[5,2,3,1,7,8,4,6]=>0101001=>7
[1,6,4,3,7,8,2,5]=>0010101=>7
[7,6,4,3,1,5,2,8]=>0111110=>7
[7,5,4,6,1,3,2,8]=>0101110=>7
[8,4,6,5,1,2,7,3]=>0001111=>7
[1,5,6,3,7,8,2,4]=>0000101=>7
[7,1,2,3,4,5,8,9,10,6]=>000001001=>9
[6,7,1,2,3,4,8,9,5]=>00000101=>8
[6,1,2,3,4,7,8,9,10,5]=>000010001=>9
[5,1,2,3,6,7,8,9,10,4]=>000100001=>9
[6,8,3,5,7,2,4,1]=>0010011=>7
[1,5,2,4,3,8,7,6]=>0011011=>7
[8,6,5,7,2,1,4,3]=>1010111=>7
[1,6,3,8,4,5,7,2]=>0000111=>7
[7,5,4,2,6,3,8,1]=>0011111=>7
[7,8,6,5,4,3,2,9,1]=>01111011=>8
[9,7,6,5,4,3,1,2,8]=>01111101=>8
[2,4,3,5,6,7,8,9,1]=>00100001=>8
[2,3,8,4,7,5,6,1]=>0000111=>7
[3,7,2,8,6,4,5,1]=>0001111=>7
[6,3,7,5,8,2,4,1]=>0010111=>7
[4,3,7,8,6,2,5,1]=>0011101=>7
[3,8,1,7,5,2,4,6]=>0001011=>7
[2,4,7,8,6,1,5,3]=>0001101=>7
[2,4,8,5,1,7,3,6]=>0001011=>7
[2,8,3,5,1,6,4,7]=>0001101=>7
[8,2,4,6,3,7,5,1]=>0001111=>7
[4,5,3,8,2,1,7,6]=>1001011=>7
[4,8,3,2,5,1,6,7]=>0101001=>7
[5,2,7,1,3,8,6,4]=>0001111=>7
[4,5,6,7,8,9,2,1,3]=>10000001=>8
[5,6,7,8,9,2,1,3,4]=>10000001=>8
[6,7,8,9,2,1,3,4,5]=>10000001=>8
[7,8,9,2,1,3,4,5,6]=>10000001=>8
[8,9,2,1,3,4,5,6,7]=>10000001=>8
[1,4,6,2,7,5,3,8]=>0001110=>7
[8,2,7,5,1,4,6,3]=>0001111=>7
[1,7,4,6,8,3,5,2]=>0001011=>7
[8,2,1,4,5,6,7,3]=>1000011=>7
[7,3,1,2,5,6,4,8]=>0100110=>7
[7,2,4,1,5,8,6,3]=>0010111=>7
[7,8,2,1,5,4,6,3]=>1001101=>7
[1,4,2,8,6,5,3,7]=>0011101=>7
[1,4,8,5,2,6,3,7]=>0001101=>7
[1,5,2,4,6,3,8,7]=>0001101=>7
[1,8,5,3,2,6,4,7]=>0101101=>7
[6,4,1,3,2,5,8,7]=>0110101=>7
[5,2,3,7,8,1,6,4]=>0001101=>7
[5,2,8,6,3,1,7,4]=>0101111=>7
[6,2,3,5,1,8,7,4]=>0001111=>7
[7,6,3,4,2,8,1,5]=>0010111=>7
[6,2,4,5,7,8,1,3]=>0000101=>7
[8,6,3,2,5,7,1,4]=>0100111=>7
[6,2,5,3,7,1,8,4]=>0001111=>7
[8,5,3,6,7,2,1,4]=>1001011=>7
[4,5,7,8,6,2,1,3]=>1000101=>7
[1,2,8,4,3,6,7,5]=>0010011=>7
[1,8,3,2,4,6,7,5]=>0100011=>7
[1,2,7,5,3,4,6,8]=>0001010=>7
[1,2,7,4,5,3,8,6]=>0001011=>7
[1,7,3,2,6,8,4,5]=>0100011=>7
[8,2,7,1,4,3,5,6]=>0010011=>7
[7,2,1,3,6,8,4,5]=>1000011=>7
[6,2,1,7,8,3,4,5]=>1000101=>7
[4,7,8,1,6,5,3,2]=>0101101=>7
[3,5,8,6,1,4,2,7]=>0010101=>7
[1,8,4,2,7,6,3,5]=>0010111=>7
[8,7,2,6,5,4,3,1]=>0111111=>7
[7,3,8,1,6,5,4,2]=>0011111=>7
[7,3,8,2,6,5,4,1]=>0011111=>7
[7,1,3,8,6,5,4,2]=>0011111=>7
[8,1,3,7,6,5,4,2]=>0011111=>7
[2,4,1,8,7,3,6,5]=>0010111=>7
[7,3,8,6,1,5,4,2]=>0011111=>7
[3,5,1,7,8,2,6,4]=>0001101=>7
[5,4,7,8,2,1,6,3]=>1001101=>7
[5,3,6,1,8,4,2,7]=>0011101=>7
[6,3,8,7,1,5,4,2]=>0011111=>7
[8,6,4,7,1,5,3,2]=>0101111=>7
[6,4,7,1,5,3,2,8]=>0101110=>7
[3,4,6,2,1,8,5,7]=>1000101=>7
[4,5,7,2,1,6,3,8]=>1000110=>7
[5,6,4,8,3,2,1,7]=>1100101=>7
[5,7,4,8,2,1,6,3]=>1000111=>7
[4,7,5,8,2,1,6,3]=>1000111=>7
[5,7,4,2,6,3,8,1]=>0010111=>7
[5,7,4,1,6,2,8,3]=>0010111=>7
[6,8,7,3,1,4,2,5]=>0110011=>7
[8,5,6,1,7,3,2,4]=>0100111=>7
[4,5,1,6,7,8,3,2]=>0101001=>7
[4,5,2,6,1,3,8,7]=>0001101=>7
[8,4,6,7,2,5,1,3]=>0001011=>7
[3,4,6,7,2,5,8,1]=>0000011=>7
[7,1,4,6,8,3,5,2]=>0001011=>7
[6,7,1,2,4,8,5,3]=>0001011=>7
[1,6,3,4,7,8,5,2]=>0001101=>7
[2,3,6,4,7,5,8,1]=>0000111=>7
[7,8,1,3,4,5,6,2]=>0000101=>7
[1,8,2,6,7,3,4,5]=>0000011=>7
[4,7,3,2,8,1,5,6]=>0100011=>7
[7,1,2,6,3,8,5,4]=>0001111=>7
[8,1,2,6,3,7,5,4]=>0001111=>7
[8,1,2,7,6,3,5,4]=>0001111=>7
[4,8,7,3,1,6,2,5]=>0100111=>7
[4,7,8,3,1,6,2,5]=>0100101=>7
[7,4,3,1,6,2,8,5]=>0110111=>7
[7,4,3,1,8,6,2,5]=>0110111=>7
[3,7,6,2,4,8,1,5]=>0000111=>7
[4,3,7,2,8,6,1,5]=>0010111=>7
[6,1,2,7,4,3,8,5]=>0010111=>7
[5,1,2,6,3,8,7,4]=>0001111=>7
[5,1,2,7,3,8,6,4]=>0001111=>7
[6,1,2,7,3,5,8,4]=>0000111=>7
[8,3,6,2,1,7,4,5]=>1000111=>7
[6,1,2,8,3,5,7,4]=>0000111=>7
[7,5,3,2,1,8,6,4]=>1101111=>7
[4,2,1,5,3,6,7,8]=>1011000=>7
[8,6,4,3,2,1,9,7,5]=>11101111=>8
[7,5,4,3,2,1,8,6,9]=>11110110=>8
[8,6,4,2,1,9,7,5,3]=>10111111=>8
[7,5,3,2,1,8,6,4,9]=>11011110=>8
[7,4,3,2,1,8,5,9,6]=>11100111=>8
[6,4,3,2,1,7,5,8,9]=>11101100=>8
[7,5,3,1,8,6,4,2,9]=>01111110=>8
[7,4,2,1,8,5,3,9,6]=>10110111=>8
[6,4,2,1,7,5,3,8,9]=>10111100=>8
[6,3,2,1,7,4,8,5,9]=>11001110=>8
[5,3,2,1,6,4,7,8,9]=>11011000=>8
[7,4,1,8,5,2,9,6,3]=>00111111=>8
[6,3,1,7,4,2,8,5,9]=>01101110=>8
[5,3,1,6,4,2,7,8,9]=>01111000=>8
[6,2,1,7,3,8,4,9,5]=>10001111=>8
[5,2,1,6,3,7,4,8,9]=>10011100=>8
[4,2,1,5,3,6,7,8,9]=>10110000=>8
[4,1,5,2,6,3,7,8,9]=>00111000=>8
[3,1,4,2,5,6,7,8,9]=>01100000=>8
[9,7,5,4,3,2,1,10,8,6]=>111101111=>9
[8,6,5,4,3,2,1,9,7,10]=>111110110=>9
[9,7,5,3,2,1,10,8,6,4]=>110111111=>9
[8,6,4,3,2,1,9,7,5,10]=>111011110=>9
[8,5,4,3,2,1,9,6,10,7]=>111100111=>9
[7,5,4,3,2,1,8,6,9,10]=>111101100=>9
[8,6,4,2,1,9,7,5,3,10]=>101111110=>9
[8,5,3,2,1,9,6,4,10,7]=>110110111=>9
[7,5,3,2,1,8,6,4,9,10]=>110111100=>9
[7,4,3,2,1,8,5,9,6,10]=>111001110=>9
[6,4,3,2,1,7,5,8,9,10]=>111011000=>9
[8,5,3,1,9,6,4,2,10,7]=>011110111=>9
[7,5,3,1,8,6,4,2,9,10]=>011111100=>9
[8,5,2,1,9,6,3,10,7,4]=>100111111=>9
[7,4,2,1,8,5,3,9,6,10]=>101101110=>9
[6,4,2,1,7,5,3,8,9,10]=>101111000=>9
[7,3,2,1,8,4,9,5,10,6]=>110001111=>9
[6,3,2,1,7,4,8,5,9,10]=>110011100=>9
[5,3,2,1,6,4,7,8,9,10]=>110110000=>9
[7,4,1,8,5,2,9,6,3,10]=>001111110=>9
[7,3,1,8,4,2,9,5,10,6]=>011001111=>9
[6,3,1,7,4,2,8,5,9,10]=>011011100=>9
[5,3,1,6,4,2,7,8,9,10]=>011110000=>9
[6,2,1,7,3,8,4,9,5,10]=>100011110=>9
[5,2,1,6,3,7,4,8,9,10]=>100111000=>9
[4,2,1,5,3,6,7,8,9,10]=>101100000=>9
[5,1,6,2,7,3,8,4,9,10]=>000111100=>9
[4,1,5,2,6,3,7,8,9,10]=>001110000=>9
[3,1,4,2,5,6,7,8,9,10]=>011000000=>9
[6,2,5,4,1,8,7,3]=>0011111=>7
[4,6,3,2,1,8,7,5]=>1100111=>7
[6,5,3,2,1,8,7,4]=>1101111=>7
[8,4,3,2,7,6,1,5]=>0110111=>7
[1,5,8,4,7,6,3,2]=>0100111=>7
[3,2,7,4,8,6,1,5]=>0100111=>7
[7,4,3,2,8,6,1,5]=>0110111=>7
[6,8,3,7,5,2,1,4]=>1001011=>7
[5,7,8,4,3,2,1,6]=>1110001=>7
[6,4,3,8,5,2,1,7]=>1011101=>7
[8,2,5,4,7,6,1,3]=>0001111=>7
[7,2,5,4,8,6,1,3]=>0001111=>7
[4,5,3,2,8,6,1,7]=>0101101=>7
[3,2,5,4,8,6,1,7]=>0101101=>7
[3,2,8,6,5,4,1,7]=>0111101=>7
[8,4,3,6,5,2,1,7]=>1011101=>7
[8,4,3,7,5,2,1,6]=>1011011=>7
[3,2,7,8,5,4,1,6]=>0111001=>7
[6,8,7,4,3,2,1,5]=>1110011=>7
[3,6,1,4,8,7,2,5]=>0000111=>7
[5,8,1,3,7,2,6,4]=>0000111=>7
[4,7,5,1,8,2,6,3]=>0001111=>7
[6,3,2,1,8,7,4,5]=>1100111=>7
[6,2,3,1,8,7,4,5]=>0100111=>7
[3,4,7,1,8,5,6,2]=>0000111=>7
[3,4,8,1,7,5,6,2]=>0000111=>7
[7,2,1,5,8,4,6,3]=>1000111=>7
[4,2,8,1,7,5,6,3]=>0010111=>7
[8,3,6,4,1,7,5,2]=>0011111=>7
[7,3,1,5,2,8,6,4]=>0101111=>7
[7,1,6,4,2,8,5,3]=>0011111=>7
[3,7,4,1,5,8,6,2]=>0010111=>7
[5,8,6,1,2,7,4,3]=>0010111=>7
[6,8,1,4,3,7,5,2]=>0011011=>7
[6,7,1,4,3,8,5,2]=>0011011=>7
[6,8,1,2,4,7,5,3]=>0001011=>7
[7,1,6,4,8,3,5,2]=>0001111=>7
[8,6,4,1,3,7,5,2]=>0011111=>7
[8,5,3,6,1,7,4,2]=>0011111=>7
[7,2,1,4,5,8,6,3]=>1000111=>7
[8,5,6,1,2,7,4,3]=>0010111=>7
[8,6,2,5,4,7,3,1]=>0101111=>7
[8,5,7,3,2,4,6,1]=>0100111=>7
[8,5,2,1,4,3,6,7]=>1011001=>7
[2,8,4,1,3,6,7,5]=>0010011=>7
[8,1,2,4,5,6,7,3]=>0000011=>7
[6,1,4,3,2,7,8,5]=>0110101=>7
[1,8,3,6,7,2,4,5]=>0000011=>7
[1,2,8,3,7,4,6,5]=>0000111=>7
[1,9,2,3,4,5,6,7,8,10]=>000000010=>9
[1,7,2,3,4,5,6,8,9]=>00000100=>8
[2,4,1,3,6,5,8,7,10,9,11]=>0010101010=>10
[8,2,6,5,4,3,1,7]=>0111101=>7
[8,2,7,6,4,5,3,1]=>0101111=>7
[8,7,3,5,4,2,6,1]=>0011111=>7
[4,2,5,6,7,8,3,1]=>0110001=>7
[3,7,8,4,5,1,6,2]=>0001101=>7
[3,6,1,5,7,8,2,4]=>0000101=>7
[4,6,8,5,2,7,1,3]=>0001011=>7
[3,7,8,5,2,6,1,4]=>0001101=>7
[3,7,8,5,4,1,6,2]=>0011101=>7
[7,8,2,3,5,4,1,6]=>0011001=>7
[5,1,3,7,6,4,8,2]=>0001111=>7
[4,6,5,2,7,8,1,3]=>0001101=>7
[1,6,5,2,3,4,8,7]=>0001101=>7
[4,6,5,1,7,3,8,2]=>0001111=>7
[5,7,3,1,2,4,8,6]=>0100011=>7
[6,3,2,5,1,7,4,8]=>0101110=>7
[6,1,2,4,8,5,3,7]=>0001101=>7
[6,3,1,7,2,5,8,4]=>0100111=>7
[3,7,2,8,5,1,4,6]=>0001011=>7
[3,6,5,2,4,7,1,8]=>0001110=>7
[3,6,5,8,1,7,2,4]=>0000111=>7
[1,2,3,4,5,6,8,7,9]=>00000010=>8
[1,2,3,4,5,6,7,9,8,10]=>000000010=>9
[1,2,3,4,5,7,6,8,9]=>00000100=>8
[9,2,3,4,5,6,7,1,8]=>00000101=>8
[1,3,5,8,6,4,7,2]=>0000111=>7
[1,3,5,8,6,7,2,4]=>0000011=>7
[6,1,7,4,8,5,3,2]=>0101111=>7
[5,7,4,1,3,6,8,2]=>0010011=>7
[7,4,3,1,6,5,8,2]=>0110111=>7
[8,6,1,7,5,3,2,4]=>0101111=>7
[7,8,1,4,6,5,3,2]=>0101101=>7
[7,8,6,1,4,5,3,2]=>0101101=>7
[6,2,7,3,8,5,4,1]=>0011111=>7
[1,2,7,5,3,4,8,6]=>0001011=>7
[7,2,8,3,6,4,5,1]=>0001111=>7
[6,2,7,8,3,1,4,5]=>0100101=>7
[1,7,8,2,5,3,4,6]=>0001001=>7
[3,7,8,1,2,5,6,4]=>0000101=>7
[1,2,8,7,3,4,6,5]=>0000111=>7
[8,2,7,4,5,1,6,3]=>0001111=>7
[3,8,1,5,7,2,6,4]=>0000111=>7
[7,5,4,8,6,1,2,3]=>0001111=>7
[7,1,8,6,4,5,2,3]=>0001111=>7
[8,7,5,1,4,3,6,2]=>0011111=>7
[1,5,7,8,3,4,2,6]=>0010001=>7
[6,8,4,3,1,7,2,5]=>0110011=>7
[8,4,1,3,7,5,6,2]=>0010111=>7
[4,8,1,3,7,5,6,2]=>0000111=>7
[1,8,5,7,4,2,3,6]=>0010011=>7
[2,1,6,8,5,3,4,7]=>1001001=>7
[4,5,1,3,8,6,7,2]=>0001011=>7
[1,2,6,8,5,3,4,7]=>0001001=>7
[5,6,8,7,3,1,2,4]=>0100011=>7
[6,7,5,3,8,1,2,4]=>0001011=>7
[6,8,5,7,3,1,2,4]=>0100011=>7
[5,7,8,6,3,1,2,4]=>0100101=>7
[5,1,4,2,6,8,7,3]=>0011011=>7
[6,3,2,4,7,1,8,5]=>0100111=>7
[1,5,6,8,4,2,3,7]=>0010001=>7
[5,7,8,3,6,1,2,4]=>0000101=>7
[1,5,8,6,2,4,3,7]=>0010101=>7
[1,5,3,7,2,6,8,4]=>0001011=>7
[5,1,8,6,2,4,3,7]=>0011101=>7
[5,8,6,3,7,1,2,4]=>0000111=>7
[1,5,2,4,8,6,7,3]=>0001011=>7
[1,5,4,2,6,8,7,3]=>0011011=>7
[5,7,6,3,8,1,2,4]=>0000111=>7
[5,7,6,8,3,1,2,4]=>0100011=>7
[6,8,7,5,3,1,2,4]=>0101011=>7
[1,2,5,3,6,8,7,4]=>0001011=>7
[6,8,7,2,1,5,3,4]=>1001011=>7
[7,3,6,1,4,8,2,5]=>0000111=>7
[7,8,1,6,5,3,4,2]=>0011101=>7
[8,7,3,2,1,4,6,5]=>1100111=>7
[8,3,5,1,7,4,2,6]=>0011011=>7
[3,5,6,8,4,2,7,1]=>0010011=>7
[5,8,2,6,4,3,7,1]=>0010111=>7
[2,8,6,3,4,1,7,5]=>0010111=>7
[1,7,2,3,5,8,6,4]=>0000111=>7
[4,6,2,3,5,1,7,8]=>0001100=>7
[2,8,3,7,5,1,6,4]=>0001111=>7
[6,4,8,7,2,1,5,3]=>1001111=>7
[1,8,2,3,7,5,6,4]=>0000111=>7
[2,8,4,3,6,7,1,5]=>0010011=>7
[7,3,2,5,6,1,8,4]=>0100111=>7
[1,6,7,8,2,4,3,5]=>0010001=>7
[4,1,2,8,5,3,7,6]=>0011011=>7
[3,8,4,2,5,1,7,6]=>0011011=>7
[1,8,5,6,4,3,2,7]=>0110101=>7
[2,8,3,5,6,4,1,7]=>0010101=>7
[4,1,5,7,6,8,2,3]=>0010011=>7
[7,6,8,3,2,5,1,4]=>0101011=>7
[2,7,8,1,6,4,5,3]=>0001101=>7
[2,7,1,4,5,3,8,6]=>0001011=>7
[1,5,2,7,4,3,6,8]=>0011010=>7
[5,1,3,8,4,6,2,7]=>0001101=>7
[6,5,8,7,1,3,2,4]=>0100111=>7
[2,7,3,5,1,6,8,4]=>0001011=>7
[5,7,6,8,2,1,4,3]=>1010011=>7
[1,3,6,5,2,7,4,8]=>0001110=>7
[1,2,6,5,3,4,7,8]=>0001100=>7
[1,7,2,5,6,8,3,4]=>0000011=>7
[1,7,2,4,8,3,5,6]=>0000011=>7
[1,6,2,4,5,3,7,8]=>0001100=>7
[1,3,2,8,4,5,7,6]=>0100011=>7
[1,6,8,2,4,3,5,7]=>0010001=>7
[1,6,7,2,5,3,4,8]=>0001010=>7
[1,2,8,3,6,7,4,5]=>0000011=>7
[1,7,2,5,3,4,8,6]=>0001011=>7
[10,3,4,5,6,7,8,9,1,2]=>000000011=>9
[9,3,4,5,6,7,8,1,10,2]=>000000111=>9
[8,3,4,5,6,7,1,9,10,2]=>000001101=>9
[7,3,4,5,6,1,8,9,10,2]=>000011001=>9
[6,3,4,5,1,7,8,9,10,2]=>000110001=>9
[5,3,4,1,6,7,8,9,10,2]=>001100001=>9
[4,3,1,5,6,7,8,9,10,2]=>011000001=>9
[11,3,4,5,6,7,8,9,10,1,2]=>0000000011=>10
[10,9,4,5,6,7,8,1,2,3]=>000000111=>9
[10,3,4,5,6,7,8,9,1,11,2]=>0000000111=>10
[10,3,8,5,6,7,1,9,2,4]=>000001111=>9
[9,3,4,5,6,7,8,1,10,11,2]=>0000001101=>10
[10,3,4,7,6,1,8,9,2,5]=>000011011=>9
[8,3,4,5,6,7,1,9,10,11,2]=>0000011001=>10
[10,3,4,5,1,7,8,9,2,6]=>000100011=>9
[7,3,4,5,6,1,8,9,10,11,2]=>0000110001=>10
[5,3,4,1,6,10,8,9,2,7]=>001100011=>9
[6,3,4,5,1,7,8,9,10,11,2]=>0001100001=>10
[4,3,1,5,6,7,10,9,2,8]=>011000011=>9
[3,1,4,5,6,7,8,10,2,9]=>010000001=>9
[7,1,5,6,2,3,8,4]=>0000111=>7
[8,2,1,4,6,7,3,5]=>1000011=>7
[7,2,6,1,3,4,8,5]=>0000111=>7
[4,1,3,7,2,5,8,6]=>0010011=>7
[6,2,7,5,1,3,8,4]=>0001111=>7
[1,7,5,6,2,3,8,4]=>0000111=>7
[3,7,6,1,2,4,8,5]=>0000111=>7
[8,6,1,3,5,7,2,4]=>0000111=>7
[1,7,4,3,8,2,5,6]=>0010011=>7
[6,1,5,3,4,8,2,7]=>0001101=>7
[3,6,7,5,2,8,1,4]=>0001011=>7
[7,8,4,1,5,6,2,3]=>0010101=>7
[5,8,1,3,6,7,2,4]=>0000011=>7
[2,8,4,3,7,1,5,6]=>0010011=>7
[3,8,4,6,7,1,2,5]=>0000011=>7
[6,3,8,4,7,1,2,5]=>0000111=>7
[1,2,5,4,8,3,6,7]=>0001001=>7
[7,1,3,8,2,4,5,6]=>0000011=>7
[8,1,3,7,2,4,5,6]=>0000011=>7
[3,5,4,7,8,1,2,6]=>0001001=>7
[8,3,1,4,7,2,5,6]=>0100011=>7
[1,6,4,7,8,2,3,5]=>0000101=>7
[5,2,3,6,7,8,1,4]=>0001001=>7
[6,2,7,3,8,5,1,4]=>0001111=>7
[1,3,7,8,5,6,2,4]=>0000101=>7
[8,2,6,7,5,1,3,4]=>0001011=>7
[8,1,7,4,6,2,3,5]=>0000111=>7
[2,5,8,4,7,1,3,6]=>0000011=>7
[4,5,8,7,1,2,3,6]=>0000011=>7
[4,1,8,5,7,2,3,6]=>0010011=>7
[1,8,7,4,6,2,3,5]=>0000111=>7
[2,6,5,4,1,8,3,7]=>0011101=>7
[6,2,5,1,4,8,3,7]=>0001101=>7
[6,5,4,1,3,8,2,7]=>0011101=>7
[6,3,5,4,2,8,1,7]=>0011101=>7
[1,3,8,7,4,2,6,5]=>0010111=>7
[8,7,4,3,1,5,2,6]=>0111011=>7
[8,2,5,1,4,6,7,3]=>0001011=>7
[3,8,4,5,1,6,7,2]=>0001011=>7
[8,5,4,1,3,6,7,2]=>0011011=>7
[8,3,1,7,5,6,4,2]=>0110111=>7
[8,4,7,6,5,3,1,2]=>0101111=>7
[8,1,4,5,7,6,3,2]=>0100111=>7
[2,4,1,8,5,7,6,3]=>0010111=>7
[8,2,1,4,7,6,3,5]=>1000111=>7
[8,3,1,7,4,2,6,5]=>0110111=>7
[8,2,7,3,1,6,5,4]=>0101111=>7
[1,8,4,2,3,7,6,5]=>0010111=>7
[3,1,2,8,7,4,6,5]=>0100111=>7
[8,5,1,2,4,3,7,6]=>0011011=>7
[2,8,3,7,4,1,6,5]=>0010111=>7
[8,4,5,7,6,2,3,1]=>0100111=>7
[2,3,1,8,7,6,4,5]=>0100111=>7
[4,2,8,7,3,1,5,6]=>0110011=>7
[1,3,4,8,7,2,5,6]=>0000011=>7
[8,1,3,4,6,7,2,5]=>0000011=>7
[3,4,8,2,6,7,1,5]=>0000011=>7
[3,6,8,2,5,1,7,4]=>0001011=>7
[3,8,2,5,7,4,6,1]=>0000111=>7
[8,4,2,1,7,5,6,3]=>1010111=>7
[8,2,7,5,6,4,1,3]=>0010111=>7
[6,2,8,5,4,1,7,3]=>0011111=>7
[6,8,5,4,1,7,2,3]=>0011011=>7
[2,8,1,5,7,6,3,4]=>0000111=>7
[3,1,8,2,7,5,6,4]=>0100111=>7
[8,5,7,1,6,4,2,3]=>0010111=>7
[2,8,4,7,3,6,5,1]=>0001111=>7
[8,4,7,2,1,6,5,3]=>1001111=>7
[1,8,4,7,6,5,2,3]=>0001111=>7
[3,5,8,1,7,4,6,2]=>0000111=>7
[8,4,7,1,3,6,5,2]=>0001111=>7
[8,2,3,4,5,6,9,1,7]=>00000011=>8
[8,2,3,9,5,6,7,1,4]=>00000111=>8
[8,2,9,4,5,6,7,1,3]=>00000111=>8
[8,9,3,4,5,6,7,1,2]=>00000101=>8
[9,2,3,4,5,6,7,10,1,8]=>000000011=>9
[4,2,3,1,9,8,7,6,5]=>01101111=>8
[3,2,1,9,8,6,7,5,4]=>11010111=>8
[9,2,10,4,5,6,7,8,1,3]=>000000111=>9
[2,3,4,7,6,8,1,5]=>0000011=>7
[3,8,1,2,5,6,4,7]=>0000101=>7
[3,7,1,2,5,6,4,8]=>0000110=>7
[8,5,2,1,4,6,7,3]=>1001011=>7
[4,8,1,6,5,2,7,3]=>0001111=>7
[4,2,6,3,8,5,7,1]=>0010111=>7
[4,5,2,6,7,1,8,3]=>0001011=>7
[2,7,4,1,6,3,5,8]=>0010110=>7
[8,3,5,4,2,7,1,6]=>0011011=>7
[2,8,6,4,7,3,1,5]=>0100111=>7
[3,1,8,6,5,2,7,4]=>0101111=>7
[8,3,1,5,2,6,7,4]=>0101011=>7
[3,8,2,4,1,5,7,6]=>0010011=>7
[5,8,3,2,4,1,7,6]=>0110011=>7
[7,2,6,8,4,3,5,1]=>0011011=>7
[6,5,3,2,4,8,1,7]=>0101101=>7
[5,2,4,6,1,3,8,7]=>0001101=>7
[7,2,3,4,6,8,1,5]=>0000011=>7
[8,3,4,6,7,5,1,2]=>0001011=>7
[3,7,4,6,8,2,5,1]=>0001011=>7
[3,7,5,2,8,6,1,4]=>0001111=>7
[8,4,6,5,2,7,3,1]=>0101111=>7
[8,6,2,3,5,1,7,4]=>0001111=>7
[7,2,4,5,6,8,1,3]=>0000011=>7
[7,1,3,5,6,2,8,4]=>0000111=>7
[5,3,6,1,4,2,8,7]=>0011101=>7
[5,7,2,1,4,3,8,6]=>1010011=>7
[7,1,8,3,5,2,4,6]=>0001011=>7
[7,2,4,8,1,5,6,3]=>0000111=>7
[7,1,8,4,2,5,6,3]=>0010111=>7
[6,4,2,5,8,1,7,3]=>0010111=>7
[2,1,7,5,8,3,6,4]=>1000111=>7
[7,3,8,5,6,2,1,4]=>1000111=>7
[2,7,4,8,1,5,6,3]=>0000111=>7
[7,4,8,3,1,5,6,2]=>0100111=>7
[6,1,5,8,3,7,4,2]=>0010111=>7
[2,6,3,5,8,7,4,1]=>0010111=>7
[8,6,5,3,7,2,1,4]=>1001111=>7
[4,8,5,3,7,2,1,6]=>1001011=>7
[7,4,8,6,5,3,2,1]=>1101111=>7
[7,4,8,5,6,3,1,2]=>0100111=>7
[7,8,4,1,3,5,6,2]=>0010101=>7
[7,8,3,4,1,5,6,2]=>0010101=>7
[7,3,1,8,2,5,6,4]=>0100111=>7
[7,2,3,8,1,5,6,4]=>0000111=>7
[6,4,8,7,3,2,1,5]=>1100111=>7
[2,7,4,8,6,3,1,5]=>0100111=>7
[6,4,8,2,3,1,7,5]=>0100111=>7
[7,2,1,8,3,5,6,4]=>1000111=>7
[5,1,6,3,8,2,4,7]=>0001101=>7
[3,6,5,1,4,8,7,2]=>0001111=>7
[7,3,6,2,8,4,1,5]=>0010111=>7
[6,5,1,8,4,7,2,3]=>0001111=>7
[7,5,4,8,1,6,2,3]=>0001111=>7
[4,3,5,8,7,1,2,6]=>0010011=>7
[3,5,6,8,1,4,2,7]=>0010001=>7
[4,3,5,8,2,1,6,7]=>1010001=>7
[6,4,7,2,3,1,5,8]=>0100110=>7
[6,8,1,5,4,2,7,3]=>0011011=>7
[7,8,6,3,1,4,2,5]=>0110101=>7
[7,8,6,3,5,1,2,4]=>0001101=>7
[7,2,8,5,4,6,3,1]=>0101111=>7
[6,1,8,4,7,2,3,5]=>0000111=>7
[5,6,4,3,7,1,8,2]=>0010111=>7
[6,5,3,7,2,4,8,1]=>0001111=>7
[5,6,2,8,4,3,7,1]=>0010111=>7
[4,1,2,6,8,3,7,5]=>0010011=>7
[7,1,3,6,5,8,4,2]=>0010111=>7
[5,7,4,3,6,8,2,1]=>1010011=>7
[4,6,2,7,8,3,5,1]=>0001101=>7
[5,1,2,4,6,7,8,3]=>0001001=>7
[4,6,3,5,2,8,7,1]=>0001111=>7
[5,6,3,4,8,2,7,1]=>0000111=>7
[5,2,6,4,1,7,8,3]=>0011101=>7
[5,8,4,6,3,2,7,1]=>0100111=>7
[5,4,3,8,6,2,7,1]=>0011111=>7
[5,7,8,2,4,3,6,1]=>0010101=>7
[5,6,2,4,8,3,7,1]=>0000111=>7
[6,4,7,8,2,3,5,1]=>0001101=>7
[3,7,5,2,4,8,1,6]=>0001011=>7
[4,7,5,2,3,8,6,1]=>0001111=>7
[6,4,7,3,2,5,8,1]=>0100111=>7
[5,7,3,2,8,4,6,1]=>0100111=>7
[5,3,7,2,8,4,6,1]=>0001111=>7
[4,3,7,2,5,8,6,1]=>0010111=>7
[4,7,3,2,5,8,6,1]=>0100111=>7
[4,7,3,2,6,8,5,1]=>0101011=>7
[7,5,3,2,6,4,8,1]=>0101111=>7
[8,5,2,6,7,3,4,1]=>0011011=>7
[8,4,2,6,3,7,5,1]=>0011111=>7
[7,4,6,2,3,8,5,1]=>0001111=>7
[7,5,6,2,8,3,4,1]=>0010111=>7
[5,7,6,2,8,3,4,1]=>0010111=>7
[4,7,6,2,3,8,5,1]=>0001111=>7
[7,6,3,2,5,8,1,4]=>0100111=>7
[7,6,4,2,5,8,3,1]=>0110111=>7
[2,10,4,5,6,7,8,9,1,3]=>000000011=>9
[9,8,4,5,6,7,1,2,10,3]=>000001111=>9
[2,10,9,5,6,7,8,1,3,4]=>000000111=>9
[2,11,4,5,6,7,8,9,10,1,3]=>0000000011=>10
[10,9,4,5,6,7,8,1,2,11,3]=>0000001111=>10
[9,3,8,5,6,7,1,2,10,4]=>000001111=>9
[9,7,4,5,6,1,8,2,10,3]=>000011111=>9
[2,10,4,9,6,7,8,1,3,5]=>000000111=>9
[2,10,8,5,6,7,1,9,3,4]=>000001111=>9
[2,11,10,5,6,7,8,9,1,3,4]=>0000000111=>10
[6,3,8,5,4,7,2,1]=>1001111=>7
[1,3,2,4,5,6,7,8,9]=>01000000=>8
[1,4,2,3,5,6,7,8,9]=>00100000=>8
[1,3,2,4,5,6,7,8,9,10]=>010000000=>9
[2,4,6,3,8,7,5,1]=>0001111=>7
[2,4,6,1,8,7,3,5]=>0000111=>7
[2,4,3,6,8,7,1,5]=>0010011=>7
[2,4,6,3,8,7,1,5]=>0000111=>7
[2,4,6,5,8,7,1,3]=>0000111=>7
[2,4,6,8,5,7,3,1]=>0100011=>7
[2,4,6,8,5,7,1,3]=>0000011=>7
[2,4,6,8,3,7,1,5]=>0000011=>7
[2,4,6,8,1,7,3,5]=>0000011=>7
[2,4,6,5,1,8,7,3]=>0001111=>7
[2,4,6,5,8,3,7,1]=>0000111=>7
[2,4,6,5,8,1,7,3]=>0000111=>7
[2,4,6,8,5,1,7,3]=>0001011=>7
[2,4,6,8,7,3,5,1]=>0001011=>7
[2,4,6,8,7,1,5,3]=>0001011=>7
[2,4,6,8,7,1,3,5]=>0000011=>7
[2,4,6,8,5,1,3,7]=>0001001=>7
[2,4,6,5,1,8,3,7]=>0001101=>7
[2,4,6,5,1,3,8,7]=>0001101=>7
[2,4,6,5,3,8,1,7]=>0001101=>7
[2,4,6,5,8,3,1,7]=>0100101=>7
[2,4,6,8,5,3,1,7]=>0101001=>7
[2,4,6,8,7,3,1,5]=>0100011=>7
[2,4,6,8,7,5,1,3]=>0001011=>7
[4,8,7,5,2,1,3,6]=>1001011=>7
[6,1,4,7,5,8,2,3]=>0000111=>7
[1,8,6,5,3,2,7,4]=>0101111=>7
[1,6,3,5,8,2,4,7]=>0000101=>7
[4,6,1,7,8,5,3,2]=>0101101=>7
[6,1,2,7,8,4,5,3]=>0001101=>7
[6,1,3,2,7,8,5,4]=>0101101=>7
[5,6,3,1,7,4,8,2]=>0100111=>7
[4,8,3,7,1,6,5,2]=>0001111=>7
[8,7,2,6,5,1,4,3]=>0011111=>7
[5,8,3,2,1,7,6,4]=>1100111=>7
[5,4,3,8,1,7,6,2]=>0011111=>7
[6,5,3,8,7,1,4,2]=>0011111=>7
[4,3,8,2,7,6,5,1]=>0011111=>7
[4,8,2,7,6,5,3,1]=>0101111=>7
[7,8,2,6,5,4,1,3]=>0011101=>7
[3,8,7,6,2,5,1,4]=>0001111=>7
[4,8,3,7,2,1,6,5]=>1000111=>7
[8,6,3,1,7,5,4,2]=>0111111=>7
[8,6,3,7,1,5,4,2]=>0011111=>7
[4,8,3,7,6,2,5,1]=>0001111=>7
[5,8,2,7,6,4,1,3]=>0010111=>7
[8,4,2,1,7,6,5,3]=>1011111=>7
[1,6,4,2,5,3,7,8]=>0011100=>7
[1,8,6,2,7,3,4,5]=>0000111=>7
[1,6,3,2,4,5,7,8]=>0100100=>7
[1,5,2,6,4,3,7,8]=>0011100=>7
[1,5,2,4,6,3,7,8]=>0001100=>7
[1,8,6,2,3,7,4,5]=>0000111=>7
[1,5,2,8,6,3,4,7]=>0001101=>7
[1,3,6,8,2,7,4,5]=>0000011=>7
[1,4,3,8,2,5,6,7]=>0010001=>7
[1,7,2,3,8,5,4,6]=>0001011=>7
[1,3,8,4,2,5,6,7]=>0010001=>7
[1,6,2,8,5,4,3,7]=>0011101=>7
[1,7,2,3,8,6,4,5]=>0000111=>7
[1,5,3,8,2,7,4,6]=>0001011=>7
[1,4,8,2,5,6,3,7]=>0000101=>7
[1,5,7,3,2,8,4,6]=>0100011=>7
[1,2,7,3,6,8,4,5]=>0000011=>7
[1,7,2,3,6,8,4,5]=>0000011=>7
[1,4,8,3,2,5,6,7]=>0100001=>7
[1,7,2,5,8,3,4,6]=>0000011=>7
[8,2,3,4,5,6,7,9,1]=>00000011=>8
[7,2,3,4,5,6,9,8,1]=>00000111=>8
[6,2,3,4,5,9,7,8,1]=>00001011=>8
[5,2,3,4,9,6,7,8,1]=>00010011=>8
[4,2,3,9,5,6,7,8,1]=>00100011=>8
[3,2,9,4,5,6,7,8,1]=>01000011=>8
[2,9,3,4,5,6,7,8,1]=>00000011=>8
[9,2,3,4,5,6,7,8,10,1]=>000000011=>9
[6,2,3,4,5,1,8,9,7]=>00011001=>8
[8,2,3,4,5,6,7,10,9,1]=>000000111=>9
[5,2,3,4,1,7,9,8,6]=>00110011=>4
[7,2,3,4,5,6,10,8,9,1]=>000001011=>9
[6,2,3,5,8,1,7,4]=>0000111=>7
[4,2,3,1,6,9,7,8,5]=>01100011=>8
[6,2,3,4,5,10,7,8,9,1]=>000010011=>9
[5,2,4,8,1,6,7,3]=>0001011=>7
[3,2,1,5,9,6,7,8,4]=>11000011=>8
[5,2,3,4,10,6,7,8,9,1]=>000100011=>9
[2,1,4,9,5,6,7,8,3]=>10000011=>8
[4,2,3,10,5,6,7,8,9,1]=>001000011=>9
[1,3,9,4,5,6,7,8,2]=>00000011=>8
[3,2,10,4,5,6,7,8,9,1]=>010000011=>9
[2,10,3,4,5,6,7,8,9,1]=>000000011=>9
[2,3,5,6,4,7,8,1,9]=>00001010=>8
[1,3,4,6,7,5,8,9,2]=>00000101=>8
[2,3,4,6,7,5,8,9,1,10]=>000001010=>9
[2,3,6,5,7,4,8,1,9]=>00001110=>8
[2,3,5,6,7,1,8,4,9]=>00000110=>8
[2,6,4,5,7,3,1,8]=>0100110=>7
[2,5,6,3,4,7,1,8]=>0000110=>7
[1,3,7,5,6,8,4,2]=>0010011=>7
[1,3,6,7,4,5,8,2]=>0000011=>7
[1,3,4,7,6,8,5,9,2]=>00000111=>8
[1,3,4,6,7,8,2,9,5]=>00000011=>8
[1,3,4,5,7,8,6,9,10,2]=>000000101=>9
[1,5,6,3,4,2,7,8]=>0010100=>7
[1,5,6,3,4,7,2,8]=>0000110=>7
[1,5,3,6,4,2,7,8]=>0011100=>7
[1,7,5,6,8,3,4,2]=>0010011=>7
[1,7,5,6,3,8,4,2]=>0010111=>7
[1,3,7,5,2,8,6,4]=>0001111=>7
[1,3,7,2,5,8,6,4]=>0000111=>7
[1,5,3,7,4,6,2,8]=>0001110=>7
[1,5,3,7,6,4,2,8]=>0011110=>7
[1,5,3,6,7,4,2,8]=>0011010=>7
[1,5,6,3,7,4,2,8]=>0010110=>7
[1,5,7,6,3,4,8,2]=>0000111=>7
[1,5,7,3,6,4,8,2]=>0000111=>7
[1,3,7,2,5,6,8,4]=>0000011=>7
[1,3,7,5,6,2,8,4]=>0000111=>7
[2,5,7,4,1,3,8,6]=>0010011=>7
[6,7,3,1,8,5,2,4]=>0101011=>7
[6,3,1,5,8,7,2,4]=>0100111=>7
[8,3,5,1,7,6,2,4]=>0001111=>7
[4,6,3,5,8,2,1,7]=>1000101=>7
[7,2,4,8,6,3,1,5]=>0100111=>7
[2,3,6,4,1,8,7,5]=>0010111=>7
[7,4,5,2,1,8,6,3]=>1001111=>7
[4,7,5,2,1,8,6,3]=>1001111=>7
[8,5,3,6,2,1,7,4]=>1001111=>7
[4,5,7,3,1,2,8,6]=>0100011=>7
[4,5,1,8,3,2,7,6]=>0101011=>7
[5,7,4,6,3,2,1,8]=>1100110=>7
[3,6,1,2,4,8,7,5]=>0000111=>7
[2,5,3,8,4,1,7,6]=>0011011=>7
[8,6,2,3,1,7,5,4]=>0101111=>7
[7,5,2,3,1,8,6,4]=>0101111=>7
[6,3,1,2,4,8,7,5]=>0100111=>7
[4,7,5,2,3,6,1,8]=>0001110=>7
[3,6,8,4,5,1,2,7]=>0001001=>7
[5,2,3,7,6,4,1,8]=>0011110=>7
[6,2,7,3,5,4,1,8]=>0011110=>7
[7,2,6,5,3,4,1,8]=>0011110=>7
[8,2,6,5,4,1,3,7]=>0011101=>7
[6,2,8,4,5,1,3,7]=>0001101=>7
[2,3,1,7,8,5,6,4]=>0100101=>7
[7,2,8,5,1,4,3,6]=>0011011=>7
[8,6,7,1,4,2,3,5]=>0010011=>7
[6,8,7,1,4,3,2,5]=>0110011=>7
[6,8,2,5,3,1,4,7]=>0101001=>7
[3,7,8,5,1,4,2,6]=>0011001=>7
[4,8,7,3,1,2,5,6]=>0100011=>7
[4,8,6,2,3,1,5,7]=>0100101=>7
[3,8,5,4,2,1,6,7]=>1011001=>7
[4,5,3,8,2,1,6,7]=>1001001=>7
[3,7,4,1,8,2,6,5]=>0010111=>7
[3,8,4,1,7,6,2,5]=>0010111=>7
[3,7,2,1,8,4,6,5]=>1000111=>7
[8,7,1,6,5,2,3,4]=>0001111=>7
[8,5,1,2,7,6,3,4]=>0001111=>7
[3,8,2,1,7,6,4,5]=>1000111=>7
[3,5,7,8,2,4,6,1]=>0000101=>7
[7,8,2,5,4,3,6,1]=>0011101=>7
[4,5,3,7,8,2,6,1]=>0001101=>7
[1,5,4,7,3,6,2,8]=>0001110=>7
[1,7,3,6,8,4,5,2]=>0001011=>7
[4,6,8,2,7,3,5,1]=>0001011=>7
[4,7,6,3,5,1,8,2]=>0001111=>7
[7,8,3,6,1,5,4,2]=>0011101=>7
[2,5,7,8,4,6,1,3]=>0000101=>7
[3,7,5,6,2,1,4,8]=>1000110=>7
[6,2,1,7,4,5,3,8]=>1001110=>7
[1,2,6,4,7,5,3,8]=>0001110=>7
[7,5,6,3,8,4,2,1]=>1010111=>7
[8,5,4,2,1,6,7,3]=>1011011=>7
[2,6,8,4,7,5,1,3]=>0001011=>7
[6,7,5,1,4,8,3,2]=>0101011=>7
[7,4,1,6,5,3,8,2]=>0011111=>7
[5,8,2,7,3,6,4,1]=>0010111=>7
[1,6,5,7,3,8,4,2]=>0010111=>7
[1,5,6,8,4,2,7,3]=>0010011=>7
[7,5,4,1,8,2,6,3]=>0011111=>7
[6,4,1,8,2,7,5,3]=>0011111=>7
[7,8,5,3,2,6,1,4]=>0101101=>7
[8,2,5,1,7,6,4,3]=>0011111=>7
[6,7,4,3,8,2,5,1]=>0011011=>7
[3,4,2,7,8,6,1,5]=>0010101=>7
[7,8,6,1,4,3,2,5]=>0110101=>7
[2,4,7,8,6,1,3,5]=>0000101=>7
[3,7,8,6,5,2,4,1]=>0011101=>7
[4,5,2,7,8,6,3,1]=>0101101=>7
[4,6,2,5,3,1,7,8]=>0101100=>7
[4,1,5,6,3,2,7,8]=>0110100=>7
[2,6,7,5,4,1,3,8]=>0011010=>7
[4,1,6,7,5,3,2,8]=>0111010=>7
[6,7,4,3,1,5,2,8]=>0111010=>7
[1,7,5,6,4,3,2,8]=>0110110=>7
[7,6,5,3,1,8,4,2]=>0111111=>7
[7,8,6,4,3,1,5,2]=>0111101=>7
[4,1,7,8,6,5,3,2]=>0111101=>7
[6,8,5,3,7,2,1,4]=>1001011=>7
[4,7,1,5,8,2,6,3]=>0000111=>7
[3,7,6,2,1,8,4,5]=>1000111=>7
[2,7,5,8,3,6,4,1]=>0010111=>7
[7,4,8,2,6,5,3,1]=>0101111=>7
[7,5,4,8,2,6,3,1]=>0101111=>7
[4,3,8,1,6,5,2,7]=>0011101=>7
[2,3,6,5,7,8,1,4]=>0000101=>7
[8,3,4,1,2,6,7,5]=>0010011=>7
[7,3,4,8,5,2,1,6]=>1001011=>7
[7,3,8,4,1,5,6,2]=>0010111=>7
[7,2,4,5,1,8,3,6]=>0001011=>7
[7,3,1,2,8,5,6,4]=>0100111=>7
[4,8,2,3,5,7,6,1]=>0000111=>7
[4,5,2,3,8,6,7,1]=>0001011=>7
[6,7,4,8,5,3,2,1]=>1101011=>7
[4,3,5,6,1,7,8,2]=>0010101=>7
[3,5,2,6,4,7,8,1]=>0001101=>7
[4,1,2,8,5,7,6,3]=>0010111=>7
[3,1,5,6,4,7,8,2]=>0100101=>7
[3,1,4,6,7,5,8,2]=>0100011=>7
[2,6,4,5,8,1,3,7]=>0000101=>7
[6,4,1,3,5,8,2,7]=>0010101=>7
[3,4,1,7,2,6,8,5]=>0010011=>7
[2,4,7,5,8,1,3,6]=>0000011=>7
[3,1,6,4,8,7,5,2]=>0101111=>7
[3,7,6,2,1,5,8,4]=>1000111=>7
[4,2,6,1,3,7,8,5]=>0010101=>7
[8,5,4,2,7,6,3,1]=>0111111=>7
[2,8,4,6,7,1,3,5]=>0000011=>7
[5,8,2,1,4,6,7,3]=>1000011=>7
[8,4,6,1,2,5,7,3]=>0000111=>7
[3,7,8,4,2,6,5,1]=>0011101=>7
[5,6,2,8,7,1,3,4]=>0000111=>7
[7,1,3,8,4,5,6,2]=>0000111=>7
[7,8,1,4,3,5,6,2]=>0010101=>7
[3,6,7,2,8,1,5,4]=>0001011=>7
[2,6,7,1,3,5,8,4]=>0000011=>7
[3,6,7,1,8,2,5,4]=>0001011=>7
[3,4,1,8,7,2,6,5]=>0010111=>7
[3,1,5,7,2,8,6,4]=>0100111=>7
[3,8,1,4,7,2,6,5]=>0000111=>7
[4,8,1,3,2,7,6,5]=>0100111=>7
[4,1,8,3,2,7,6,5]=>0110111=>7
[4,3,8,1,2,7,6,5]=>0010111=>7
[4,3,8,2,1,7,6,5]=>1010111=>7
[3,8,4,2,7,1,6,5]=>0010111=>7
[2,8,4,3,7,6,1,5]=>0010111=>7
[3,8,2,4,7,1,6,5]=>0000111=>7
[3,2,4,8,7,1,6,5]=>0100111=>7
[3,2,5,7,1,8,6,4]=>0100111=>7
[4,2,8,3,1,7,6,5]=>0110111=>7
[4,8,2,1,3,7,6,5]=>1000111=>7
[4,2,8,1,3,7,6,5]=>0010111=>7
[2,3,4,6,8,7,1,5]=>0000011=>7
[5,6,4,7,1,2,8,3]=>0000111=>7
[4,6,7,5,8,2,3,1]=>0100011=>7
[3,2,7,6,8,1,4,5]=>0100011=>7
[4,5,1,7,6,8,2,3]=>0001011=>7
[6,7,2,8,3,1,4,5]=>0100011=>7
[7,6,3,1,2,8,4,5]=>0100111=>7
[6,2,7,8,4,1,3,5]=>0010101=>7
[6,3,7,8,4,1,2,5]=>0010101=>7
[7,8,5,2,4,1,3,6]=>0011001=>7
[7,6,2,3,1,8,4,5]=>0100111=>7
[4,2,5,1,3,7,8,6]=>0011001=>7
[3,5,1,4,2,7,8,6]=>0011001=>7
[3,4,1,7,8,5,2,6]=>0011001=>7
[4,1,3,7,8,5,2,6]=>0011001=>7
[4,3,1,8,5,2,7,6]=>0111011=>7
[3,1,8,5,4,2,7,6]=>0111011=>7
[7,6,3,5,8,4,2,1]=>1010111=>7
[4,5,1,3,2,7,8,6]=>0101001=>7
[5,1,3,2,4,7,8,6]=>0101001=>7
[2,3,7,8,5,4,1,6]=>0011001=>7
[8,3,5,6,1,7,2,4]=>0000111=>7
[4,5,8,1,2,6,7,3]=>0000011=>7
[5,3,6,7,8,2,1,4]=>1001001=>7
[1,3,4,8,6,2,7,5]=>0000111=>7
[3,8,2,5,4,1,6,7]=>0011001=>7
[8,4,5,2,6,1,7,3]=>0001111=>7
[4,6,8,2,3,7,5,1]=>0001011=>7
[4,5,7,2,3,6,1,8]=>0000110=>7
[2,7,3,4,1,5,6,8]=>0010010=>7
[6,7,2,3,4,8,1,5]=>0000011=>7
[3,5,2,4,6,7,8,1]=>0001001=>7
[4,2,6,3,5,7,8,1]=>0010101=>7
[2,3,4,5,6,1,8,7,9]=>00001010=>8
[2,3,4,5,1,7,6,8,9]=>00010100=>8
[2,3,4,1,6,5,7,8,9]=>00101000=>8
[2,3,1,5,4,6,7,8,9]=>01010000=>8
[1,4,8,5,6,2,7,3]=>0000111=>7
[2,4,8,5,6,1,7,3]=>0000111=>7
[6,3,5,8,4,7,1,2]=>0000111=>7
[2,8,7,4,5,1,6,3]=>0001111=>7
[1,3,8,5,2,6,7,4]=>0001011=>7
[7,2,8,4,5,1,6,3]=>0001111=>7
[6,2,3,5,1,7,8,4]=>0001101=>7
[8,6,2,4,1,5,7,3]=>0010111=>7
[1,6,4,3,2,7,8,5]=>0110101=>7
[8,5,3,2,1,6,7,4]=>1101011=>7
[1,7,5,2,3,6,8,4]=>0001011=>7
[7,1,5,2,3,6,8,4]=>0001011=>7
[8,1,2,5,3,6,7,4]=>0001011=>7
[8,4,1,6,3,7,2,5]=>0010111=>7
[6,7,5,3,8,2,1,4]=>1001011=>7
[5,2,6,8,3,7,1,4]=>0001011=>7
[4,2,5,8,6,7,1,3]=>0010011=>7
[5,8,6,3,4,1,7,2]=>0010111=>7
[3,7,2,4,1,8,6,5]=>0010111=>7
[2,4,7,8,5,1,3,6]=>0001001=>7
[2,5,3,8,4,1,6,7]=>0011001=>7
[5,7,6,8,1,3,4,2]=>0010011=>7
[3,1,7,4,5,6,2,8]=>0100110=>7
[2,4,8,3,5,7,1,6]=>0000011=>7
[8,1,7,2,4,3,5,6]=>0010011=>7
[1,3,8,2,4,7,5,6]=>0000011=>7
[1,3,7,2,4,6,5,8]=>0000110=>7
[1,7,3,2,4,6,5,8]=>0100110=>7
[1,8,3,7,4,2,5,6]=>0010011=>7
[8,7,3,1,4,2,5,6]=>0110011=>7
[2,8,4,3,5,7,1,6]=>0010011=>7
[3,2,8,7,4,1,5,6]=>0110011=>7
[3,2,1,7,4,6,5,8]=>1100110=>7
[3,2,6,5,1,7,8,4]=>0101101=>7
[5,3,2,6,7,1,8,4]=>0101011=>7
[3,2,8,6,7,4,1,5]=>0110011=>7
[8,4,6,2,7,3,1,5]=>0100111=>7
[4,3,8,6,7,2,1,5]=>1010011=>7
[4,3,6,2,8,7,1,5]=>0010111=>7
[3,8,4,7,6,5,1,2]=>0001111=>7
[7,8,4,2,6,3,5,1]=>0011101=>7
[3,2,7,8,6,4,5,1]=>0101101=>7
[3,2,7,5,6,8,4,1]=>0110011=>7
[5,7,8,6,3,2,4,1]=>0110101=>7
[6,5,4,2,1,7,8,3]=>1011101=>7
[5,4,2,1,7,6,3,8]=>1011110=>7
[4,1,6,5,2,7,8,3]=>0011101=>7
[5,4,1,6,7,2,8,3]=>0011011=>7
[6,8,5,3,1,7,2,4]=>0101011=>7
[5,2,6,3,8,7,1,4]=>0001111=>7
[8,6,1,7,3,4,2,5]=>0010111=>7
[1,8,3,6,7,4,2,5]=>0010011=>7
[1,6,3,5,2,7,8,4]=>0001101=>7
[1,5,7,3,2,6,4,8]=>0100110=>7
[5,1,3,7,2,6,4,8]=>0001110=>7
[8,1,6,7,2,4,3,5]=>0010011=>7
[6,1,4,8,2,7,3,5]=>0000111=>7
[6,2,4,8,3,7,1,5]=>0000111=>7
[8,7,2,6,3,5,1,4]=>0001111=>7
[8,1,7,6,5,2,3,4]=>0001111=>7
[7,1,5,6,8,2,4,3]=>0010011=>7
[6,7,1,5,2,4,8,3]=>0001011=>7
[7,6,1,5,2,4,3,8]=>0011110=>7
[7,1,6,3,5,4,2,8]=>0011110=>7
[1,6,7,3,5,4,8,2]=>0001011=>7
[1,7,3,5,6,8,4,2]=>0010011=>7
[1,7,8,3,6,4,5,2]=>0001101=>7
[1,8,7,6,4,5,2,3]=>0001111=>7
[8,2,7,4,6,5,1,3]=>0001111=>7
[2,8,5,7,6,4,1,3]=>0010111=>7
[7,4,5,1,6,8,3,2]=>0101011=>7
[4,1,7,5,6,8,3,2]=>0110011=>7
[5,6,7,4,3,1,8,2]=>0110011=>7
[6,7,8,5,3,1,4,2]=>0111001=>7
[1,4,6,2,5,3,7,8]=>0001100=>7
[1,6,3,2,5,4,7,8]=>0101100=>7
[1,6,8,2,5,4,7,3]=>0001011=>7
[1,5,4,2,6,3,7,8]=>0011100=>7
[1,2,6,4,3,5,7,8]=>0010100=>7
[1,6,8,2,7,5,4,3]=>0011011=>7
[1,7,4,3,2,6,8,5]=>0110011=>7
[1,5,4,7,2,6,8,3]=>0001011=>7
[1,3,7,6,2,8,5,4]=>0001111=>7
[1,7,6,2,8,4,3,5]=>0010111=>7
[1,5,2,8,4,3,7,6]=>0011011=>7
[1,2,8,4,3,6,5,7]=>0010101=>7
[1,2,8,5,6,3,4,7]=>0000101=>7
[1,7,3,5,2,8,6,4]=>0001111=>7
[1,6,7,2,5,8,4,3]=>0010011=>7
[1,5,8,3,2,7,4,6]=>0100011=>7
[1,4,5,8,2,6,3,7]=>0000101=>7
[1,7,6,4,8,2,5,3]=>0001111=>7
[1,4,8,6,5,2,7,3]=>0001111=>7
[1,3,8,2,6,5,4,7]=>0001101=>7
[1,7,6,3,8,2,4,5]=>0000111=>7
[1,5,2,7,6,4,8,3]=>0001111=>7
[1,2,4,3,8,7,5,6]=>0010011=>7
[1,4,3,8,7,2,5,6]=>0010011=>7
[1,3,8,6,2,4,5,7]=>0000101=>7
[1,3,8,5,4,2,6,7]=>0011001=>7
[1,7,2,4,8,6,5,3]=>0001111=>7
[1,6,5,3,2,8,7,4]=>0101111=>7
[1,3,2,8,7,5,4,6]=>0101011=>7
[1,2,8,6,5,4,3,7]=>0011101=>7
[8,1,3,4,6,5,2,7]=>0001101=>7
[8,3,1,4,6,5,2,7]=>0101101=>7
[5,8,3,1,2,6,4,7]=>0100101=>7
[4,8,1,7,5,2,3,6]=>0001011=>7
[4,8,1,7,5,2,6,3]=>0001111=>7
[8,5,1,4,2,6,3,7]=>0011101=>7
[8,4,1,3,5,6,2,7]=>0010101=>7
[8,5,3,2,1,6,4,7]=>1101101=>7
[8,1,5,4,2,6,3,7]=>0011101=>7
[8,5,2,4,1,6,3,7]=>0011101=>7
[4,8,7,1,5,2,6,3]=>0001111=>7
[4,8,7,1,5,2,3,6]=>0001011=>7
[7,6,8,4,1,3,2,5]=>0110011=>7
[7,6,8,4,1,3,5,2]=>0011011=>7
[3,8,7,5,4,1,2,6]=>0011011=>7
[4,8,2,7,5,1,3,6]=>0001011=>7
[7,6,8,4,1,5,2,3]=>0011011=>7
[8,7,6,1,5,2,3,4]=>0001111=>7
[7,1,4,8,6,3,5,2]=>0001111=>7
[8,1,6,5,3,4,7,2]=>0001111=>7
[8,6,2,5,3,4,7,1]=>0001111=>7
[8,6,5,1,3,4,7,2]=>0001111=>7
[8,7,5,1,3,6,2,4]=>0001111=>7
[8,7,1,5,3,6,2,4]=>0001111=>7
[8,6,1,3,5,4,7,2]=>0001111=>7
[7,1,4,8,3,6,5,2]=>0001111=>7
[7,8,5,2,4,3,6,1]=>0011101=>7
[7,3,8,2,5,4,6,1]=>0001111=>7
[8,4,2,5,3,7,6,1]=>0011111=>7
[4,8,1,5,3,7,6,2]=>0001111=>7
[7,4,8,2,6,3,5,1]=>0001111=>7
[7,4,8,2,6,3,1,5]=>0100111=>7
[8,7,3,1,6,4,2,5]=>0110111=>7
[8,7,3,1,6,4,5,2]=>0101111=>7
[8,7,3,1,4,6,5,2]=>0101111=>7
[8,4,3,2,7,5,6,1]=>0110111=>7
[6,4,1,7,8,5,3,2]=>0111101=>7
[7,6,3,4,1,8,5,2]=>0011111=>7
[8,7,3,1,6,2,5,4]=>0101111=>7
[7,8,6,4,2,5,1,3]=>0011101=>7
[7,8,2,4,6,5,1,3]=>0001101=>7
[8,1,7,3,5,6,2,4]=>0000111=>7
[8,7,5,2,4,6,1,3]=>0001111=>7
[8,1,7,5,4,6,2,3]=>0001111=>7
[8,7,3,2,6,1,5,4]=>0101111=>7
[1,8,6,4,2,9,7,5,3]=>00111111=>8
[8,4,6,7,5,3,2,1]=>1101011=>7
[1,4,8,6,7,5,3,2]=>0101011=>7
[7,6,2,5,8,4,3,1]=>0110111=>7
[1,7,3,6,8,5,4,2]=>0011011=>7
[8,6,2,5,7,4,3,1]=>0110111=>7
[7,1,3,6,8,5,4,2]=>0011011=>7
[1,8,3,6,7,5,4,2]=>0011011=>7
[8,1,7,6,4,5,3,2]=>0101111=>7
[7,1,8,6,4,5,3,2]=>0101111=>7
[1,6,2,7,4,5,3,8]=>0001110=>7
[1,8,2,6,4,3,5,7]=>0010101=>7
[1,7,2,6,4,3,5,8]=>0010110=>7
[1,7,2,5,4,6,3,8]=>0001110=>7
[6,5,7,2,8,3,4,1]=>0010111=>7
[6,2,7,5,8,1,4,3]=>0010111=>7
[6,7,2,5,8,1,4,3]=>0010011=>7
[6,5,7,3,8,1,4,2]=>0010111=>7
[6,3,7,4,8,2,5,1]=>0001111=>7
[6,3,7,4,8,1,5,2]=>0001111=>7
[6,2,7,4,8,1,5,3]=>0001111=>7
[8,7,6,4,2,5,3,1]=>0111111=>7
[8,7,4,6,2,3,5,1]=>0001111=>7
[6,8,4,5,7,3,2,1]=>1100011=>7
[6,7,5,1,4,3,8,2]=>0011011=>7
[7,8,5,1,4,3,6,2]=>0011101=>7
[2,7,6,8,3,5,1,4]=>0001011=>7
[7,2,1,5,3,8,6,4]=>1001111=>7
[5,8,2,7,6,1,3,4]=>0000111=>7
[5,1,8,7,3,4,2,6]=>0011011=>7
[8,2,3,6,7,1,4,5]=>0000011=>7
[4,2,3,1,5,8,6,7]=>0110001=>7
[6,3,5,1,2,4,7,8,9]=>00011000=>8
[8,6,5,4,3,2,1,7,9]=>11111010=>8
[3,1,2,4,5,6,7,8,9,10]=>010000000=>9
[6,3,5,1,2,4,7,8,9,10]=>000110000=>9
[9,7,6,5,4,3,2,1,8,10]=>111111010=>9
[10,8,6,9,4,7,2,5,1,3]=>000101111=>9
[2,4,8,7,5,3,1,6]=>0101011=>7
[2,6,8,7,5,3,4,1]=>0011011=>7
[2,6,5,1,4,3,8,7]=>0011101=>7
[6,5,1,2,4,3,8,7]=>0011101=>7
[4,6,5,3,1,2,8,7]=>0101101=>7
[4,8,7,5,3,1,2,6]=>0101011=>7
[4,6,8,7,5,3,1,2]=>0101011=>7
[6,8,7,5,3,1,4,2]=>0111011=>7
[8,7,5,6,3,1,4,2]=>0110111=>7
[8,7,3,4,6,5,1,2]=>0001111=>7
[2,1,4,8,7,3,6,5]=>1000111=>7
[4,8,7,3,1,2,6,5]=>0100111=>7
[8,7,3,4,1,2,6,5]=>0010111=>7
[8,7,3,1,6,5,2,4]=>0101111=>7
[8,7,3,2,6,5,1,4]=>0101111=>7
[2,8,7,3,4,6,5,1]=>0001111=>7
[2,8,7,3,6,5,1,4]=>0001111=>7
[2,8,7,1,6,5,3,4]=>0001111=>7
[8,7,1,2,6,5,3,4]=>0001111=>7
[8,7,1,2,4,3,6,5]=>0010111=>7
[2,1,8,7,3,4,6,5]=>1000111=>7
[8,7,5,1,2,4,3,6]=>0011011=>7
[2,8,7,1,4,3,6,5]=>0010111=>7
[2,8,7,3,4,1,6,5]=>0010111=>7
[2,8,7,5,6,3,4,1]=>0010111=>7
[2,4,8,7,3,1,6,5]=>0100111=>7
[2,8,7,3,1,4,6,5]=>0100111=>7
[2,4,3,1,8,7,5,6]=>0110011=>7
[4,3,1,2,6,8,7,5]=>0110011=>7
[2,8,7,5,6,3,1,4]=>0100111=>7
[2,8,7,5,3,1,6,4]=>0101111=>7
[2,8,7,5,3,6,4,1]=>0011111=>7
[2,8,7,5,6,1,4,3]=>0010111=>7
[2,6,8,7,5,1,4,3]=>0011011=>7
[6,8,7,5,1,2,4,3]=>0011011=>7
[8,7,5,6,1,2,4,3]=>0010111=>7
[8,7,1,2,4,6,5,3]=>0001111=>7
[2,4,8,7,3,6,5,1]=>0001111=>7
[8,7,2,4,3,6,5,1]=>0011111=>7
[4,8,7,1,2,6,5,3]=>0001111=>7
[8,7,5,3,1,2,6,4]=>0101111=>7
[8,7,5,3,6,4,1,2]=>0011111=>7
[8,7,1,4,3,6,5,2]=>0011111=>7
[8,7,3,4,1,6,5,2]=>0011111=>7
[11,2,3,4,5,6,7,8,9,10,1]=>0000000011=>10
[10,3,2,4,5,6,7,8,9,1]=>010000011=>9
[9,4,3,2,5,6,7,8,1]=>01100011=>8
[8,1,2,3,4,5,7,6,9]=>00000110=>8
[7,1,2,3,5,4,6,8]=>0001010=>7
[1,9,2,3,4,5,6,8,7]=>00000011=>8
[9,1,2,3,4,5,6,8,7,10]=>000000110=>9
[8,1,2,3,4,7,6,5,9]=>00001110=>8
[8,1,2,3,4,6,5,7,9]=>00001010=>8
[7,1,2,6,4,5,3,8]=>0001110=>7
[7,1,2,4,3,5,6,8]=>0010010=>7
[1,9,2,3,4,5,8,7,6]=>00000111=>8
[1,9,2,3,4,5,7,6,8]=>00000101=>8
[1,10,2,3,4,5,6,7,9,8]=>000000011=>9
[4,7,3,6,5,1,2,8]=>0001110=>7
[7,5,4,2,8,3,1,6]=>0111011=>7
[8,3,6,1,5,2,4,7]=>0001101=>7
[3,1,6,8,5,7,2,4]=>0100011=>7
[5,7,2,1,8,4,6,3]=>1000111=>7
[7,2,8,6,4,3,1,5]=>0110111=>7
[6,3,8,7,4,2,1,5]=>1010111=>7
[7,6,3,2,8,4,1,5]=>0110111=>7
[8,6,1,3,2,4,5,7]=>0100101=>7
[5,8,3,7,4,2,1,6]=>1010011=>7
[4,1,7,3,5,8,6,2]=>0010111=>7
[8,4,7,3,5,2,1,6]=>1001011=>7
[5,4,8,1,3,2,6,7]=>0101001=>7
[4,5,8,2,1,3,6,7]=>1000001=>7
[8,1,3,5,2,4,6,7]=>0001001=>7
[1,8,3,5,7,2,4,6]=>0000011=>7
[1,7,3,8,6,2,4,5]=>0000111=>7
[8,6,2,1,3,7,5,4]=>1001111=>7
[8,1,4,2,7,6,3,5]=>0010111=>7
[1,3,4,5,6,7,8,2,9]=>00000010=>8
[1,3,4,5,6,7,8,10,2,9]=>000000001=>9
[2,1,4,5,6,7,9,3,8]=>10000001=>8
[2,1,4,5,6,7,8,3,9]=>10000010=>8
[1,3,4,5,6,7,8,9,2,10]=>000000010=>9
[1,5,7,3,6,8,2,4]=>0000011=>7
[8,4,6,2,5,7,1,3]=>0000111=>7
[1,3,4,7,6,8,2,5]=>0000011=>7
[8,1,3,6,7,4,2,5]=>0010011=>7
[1,2,4,7,8,5,3,6]=>0001001=>7
[3,1,4,7,6,8,2,5]=>0100011=>7
[4,1,3,7,6,8,2,5]=>0010011=>7
[5,1,7,3,6,8,2,4]=>0001011=>7
[6,7,8,2,4,5,1,3]=>0001001=>7
[5,8,6,2,4,7,1,3]=>0000111=>7
[3,8,2,6,5,7,1,4]=>0000111=>7
[2,8,3,6,7,4,1,5]=>0010011=>7
[8,7,2,5,6,3,1,4]=>0100111=>7
[8,7,1,6,4,3,2,5]=>0110111=>7
[1,8,2,7,5,4,3,6]=>0011011=>7
[3,8,1,7,5,4,2,6]=>0011011=>7
[5,8,6,1,7,3,2,4]=>0100111=>7
[6,7,1,2,8,4,3,5]=>0010011=>7
[2,1,3,8,6,5,4,7]=>1001101=>7
[8,2,1,7,5,4,3,6]=>1011011=>7
[1,3,2,8,6,5,4,7]=>0101101=>7
[3,4,1,7,6,8,2,5]=>0010011=>7
[2,5,7,1,8,4,3,6]=>0010011=>7
[3,5,7,1,6,8,2,4]=>0000011=>7
[4,5,7,6,1,8,2,3]=>0000111=>7
[5,4,7,6,8,3,1,2]=>0101011=>7
[1,5,7,8,6,3,2,4]=>0100101=>7
[8,4,6,7,5,2,1,3]=>1001011=>7
[8,3,7,5,6,2,1,4]=>1000111=>7
[1,4,8,6,7,3,2,5]=>0100011=>7
[2,4,8,6,7,3,1,5]=>0100011=>7
[5,2,7,8,6,3,1,4]=>0101101=>7
[2,3,8,7,5,4,1,6]=>0011011=>7
[1,3,8,7,5,4,2,6]=>0011011=>7
[8,2,7,6,4,3,1,5]=>0110111=>7
[8,1,7,6,4,3,2,5]=>0110111=>7
[4,1,8,6,7,3,2,5]=>0110011=>7
[4,8,7,5,6,2,1,3]=>1000111=>7
[5,6,8,1,7,4,3,2]=>0110011=>7
[1,6,9,8,7,5,4,3,2]=>01110111=>4
[1,4,9,8,7,6,5,3,2]=>01011111=>8
[1,3,9,8,7,6,5,4,2]=>00111111=>8
[8,7,1,9,6,5,4,3,2]=>01111111=>8
[1,8,10,9,7,6,5,4,3,2]=>011111011=>9
[6,7,9,1,8,5,4,3,2]=>01110011=>8
[1,7,10,9,8,6,5,4,3,2]=>011110111=>9
[5,6,9,8,1,7,4,3,2]=>01100111=>8
[4,1,8,7,3,6,5,2]=>0011111=>7
[5,6,8,4,1,7,3,2]=>0110011=>7
[5,4,9,8,7,1,6,3,2]=>01011111=>8
[1,5,10,9,8,7,6,4,3,2]=>011011111=>9
[4,5,8,7,3,1,6,2]=>0100111=>7
[3,4,9,8,7,6,1,5,2]=>00011111=>8
[1,4,10,9,8,7,6,5,3,2]=>010111111=>9
[2,3,9,8,7,6,5,1,4]=>00011111=>8
[9,8,1,10,7,6,5,4,3,2]=>011111111=>9
[1,7,6,9,8,5,4,3,2]=>01110111=>4
[7,8,10,1,9,6,5,4,3,2]=>011110011=>9
[1,6,9,5,8,7,4,3,2]=>01100111=>8
[8,7,6,1,9,5,4,3,2]=>01111111=>8
[6,7,10,9,1,8,5,4,3,2]=>011100111=>9
[3,1,8,4,7,6,5,2]=>0101111=>7
[5,1,9,8,4,7,6,3,2]=>01011111=>8
[6,7,9,5,1,8,4,3,2]=>01110011=>8
[6,5,10,9,8,1,7,4,3,2]=>011011111=>9
[1,4,9,8,7,3,6,5,2]=>00011111=>8
[5,6,9,8,4,1,7,3,2]=>01100111=>8
[4,5,10,9,8,7,1,6,3,2]=>010011111=>9
[1,3,9,8,7,6,2,5,4]=>00011111=>8
[1,5,8,4,3,7,6,2]=>0010111=>7
[5,4,9,8,7,3,1,6,2]=>01011111=>8
[3,4,10,9,8,7,6,1,5,2]=>000111111=>9
[3,4,9,8,7,6,2,1,5]=>10001111=>8
[3,2,10,9,8,7,6,5,1,4]=>010111111=>9
[8,1,7,2,5,6,4,3]=>0010111=>7
[8,1,3,5,2,7,6,4]=>0001111=>7
[2,7,1,5,4,8,6,3]=>0001111=>7
[8,6,2,4,3,7,5,1]=>0011111=>7
[2,4,1,6,7,5,8,3]=>0010011=>7
[8,1,4,5,6,3,7,2]=>0000111=>7
[8,1,4,5,6,2,7,3]=>0000111=>7
[8,1,4,7,6,2,5,3]=>0001111=>7
[2,5,1,7,8,6,4,3]=>0011101=>7
[3,5,6,2,8,7,4,1]=>0010111=>7
[2,4,5,1,7,6,3,8]=>0001110=>7
[7,3,1,5,6,4,2,8]=>0110110=>7
[8,3,2,5,6,7,1,4]=>0100011=>7
[8,4,5,3,7,6,2,1]=>1001111=>7
[3,4,5,6,2,8,1,7]=>0000101=>7
[3,7,4,2,8,5,1,6]=>0011011=>7
[7,3,4,1,6,8,2,5]=>0010011=>7
[2,6,3,1,4,7,5,8]=>0100110=>7
[7,2,1,6,3,4,8,5]=>1000111=>7
[7,3,4,1,6,5,8,2]=>0010111=>7
[3,7,4,2,5,8,6,1]=>0010111=>7
[2,3,5,1,4,8,7,6]=>0001011=>7
[2,7,1,3,6,8,5,4]=>0001011=>7
[2,7,1,3,8,4,6,5]=>0000111=>7
[3,8,7,1,6,2,5,4]=>0001111=>7
[3,8,7,1,4,5,2,6]=>0001011=>7
[3,7,4,2,1,8,6,5]=>1010111=>7
[4,8,5,7,2,6,3,1]=>0100111=>7
[8,4,5,7,3,2,6,1]=>0100111=>7
[8,3,7,2,4,1,5,6]=>0010011=>7
[8,6,7,2,1,4,3,5]=>1010011=>7
[8,3,7,5,1,2,6,4]=>0001111=>7
[7,3,4,6,2,1,5,8]=>1000110=>7
[3,7,4,6,1,5,2,8]=>0001110=>7
[3,4,7,6,1,2,8,5]=>0000111=>7
[4,5,8,7,6,1,3,2]=>0100111=>7
[8,6,3,7,5,1,4,2]=>0011111=>7
[8,7,3,5,6,1,4,2]=>0010111=>7
[7,6,3,8,1,4,5,2]=>0001111=>7
[8,5,2,7,6,1,3,4]=>0001111=>7
[8,7,3,1,4,5,2,6]=>0101011=>7
[6,4,7,2,1,5,8,3]=>1000111=>7
[8,4,2,5,1,6,7,3]=>0011011=>7
[8,5,3,1,6,4,7,2]=>0101111=>7
[8,7,3,1,4,5,6,2]=>0100111=>7
[8,7,4,1,5,6,2,3]=>0010111=>7
[8,6,4,1,7,5,2,3]=>0011111=>7
[8,6,3,1,7,4,5,2]=>0101111=>7
[8,5,3,1,6,7,4,2]=>0111011=>7
[8,5,3,7,1,6,4,2]=>0011111=>7
[7,6,3,8,1,4,2,5]=>0010111=>7
[7,4,8,2,6,1,5,3]=>0001111=>7
[6,4,7,3,1,5,2,8]=>0101110=>7
[8,5,3,1,6,4,2,7]=>0111101=>7
[8,7,4,1,5,2,3,6]=>0011011=>7
[8,7,5,1,2,6,3,4]=>0001111=>7
[8,6,4,1,2,7,5,3]=>0011111=>7
[8,7,4,1,2,5,3,6]=>0011011=>7
[8,7,5,1,2,3,6,4]=>0001111=>7
[6,5,3,7,4,2,1,8]=>1011110=>7
[1,6,3,8,4,2,5,7]=>0010101=>7
[4,7,2,5,3,6,1,8]=>0001110=>7
[1,8,3,4,5,2,6,7]=>0001001=>7
[1,8,6,4,2,5,3,7]=>0011101=>7
[8,2,6,4,1,5,7,3]=>0010111=>7
[7,8,3,4,6,1,5,2]=>0001101=>7
[4,8,7,5,3,1,6,2]=>0101111=>7
[6,1,4,8,3,2,5,7]=>0100101=>7
[4,1,8,5,3,2,6,7]=>0111001=>7
[8,1,6,4,2,7,3,5]=>0010111=>7
[3,1,7,4,2,5,8,6]=>0110011=>7
[1,2,7,4,3,5,6,8]=>0010010=>7
[6,1,8,5,2,4,3,7]=>0011101=>7
[6,8,2,5,1,4,7,3]=>0001011=>7
[4,5,2,1,6,8,7,3]=>1001011=>7
[7,2,8,6,5,1,4,3]=>0011111=>7
[7,4,8,6,1,5,3,2]=>0101111=>7
[8,7,2,6,1,4,5,3]=>0001111=>7
[1,7,8,6,2,4,3,5]=>0010101=>7
[7,6,3,1,2,5,4,8]=>0101110=>7
[8,5,3,1,2,4,7,6]=>0101011=>7
[8,2,1,6,5,3,4,7]=>1001101=>7
[3,8,1,5,6,2,4,7]=>0000101=>7
[6,8,4,1,5,2,3,7]=>0011001=>7
[3,2,8,1,6,4,5,7]=>0100101=>7
[5,2,1,3,7,6,4,8]=>1001110=>7
[5,4,1,2,8,3,7,6]=>0011011=>7
[5,8,4,1,2,3,7,6]=>0010011=>7
[7,1,2,5,3,4,6,8]=>0001010=>7
[1,6,7,3,2,8,4,5]=>0100011=>7
[1,8,6,3,2,7,4,5]=>0100111=>7
[1,5,3,7,2,8,4,6]=>0001011=>7
[1,4,6,2,8,5,3,7]=>0001101=>7
[1,5,6,2,8,4,3,7]=>0010101=>7
[2,4,6,3,1,7,5,8]=>0100110=>7
[3,4,8,6,5,7,2,1]=>1000111=>7
[1,2,5,7,4,3,6,8]=>0010010=>7
[1,2,5,7,4,6,8,3]=>0000011=>7
[1,2,4,7,6,8,3,5]=>0000011=>7
[3,5,8,6,1,7,2,4]=>0000111=>7
[2,3,6,8,1,7,4,5]=>0000011=>7
[2,3,7,1,8,6,4,5]=>0000111=>7
[2,6,1,7,8,5,3,4]=>0001101=>7
[2,4,8,5,6,7,1,3]=>0000011=>7
[1,4,8,5,6,7,3,2]=>0100011=>7
[3,2,1,6,8,4,7,5]=>1100011=>7
[4,8,3,1,6,5,7,2]=>0100111=>7
[1,6,8,5,4,2,7,3]=>0011011=>7
[6,5,8,4,2,1,7,3]=>1010111=>7
[1,7,8,6,5,4,2,3]=>0011101=>7
[6,8,7,4,5,1,3,2]=>0101011=>7
[6,1,3,5,4,2,8,7]=>0011101=>7
[2,1,5,8,6,4,7,3]=>1000111=>7
[4,2,8,5,6,3,7,1]=>0010111=>7
[5,7,2,3,4,6,8,1]=>0000011=>7
[1,8,7,3,2,5,6,4]=>0100111=>7
[5,7,1,2,3,8,6,4]=>0000111=>7
[7,8,6,2,4,1,5,3]=>0011101=>7
[7,2,8,4,6,1,5,3]=>0001111=>7
[7,4,6,2,8,1,5,3]=>0001111=>7
[7,1,5,8,2,3,6,4]=>0000111=>7
[7,6,4,8,2,1,5,3]=>1001111=>7
[6,1,8,4,2,3,5,7]=>0010101=>7
[7,3,6,2,1,8,5,4]=>1001111=>7
[1,8,6,4,2,5,7,3]=>0010111=>7
[5,6,2,1,8,4,7,3]=>1000111=>7
[2,8,1,6,5,7,3,4]=>0000111=>7
[5,1,6,4,3,8,7,2]=>0011111=>7
[5,4,6,8,1,3,7,2]=>0001011=>7
[3,7,1,6,4,5,8,2]=>0000111=>7
[3,5,2,1,4,6,7,8]=>1001000=>7
[1,3,8,7,5,4,6,2]=>0001111=>7
[9,3,4,2,5,6,7,8,1]=>00100011=>8
[1,2,3,4,5,7,9,8,6]=>00000011=>8
[1,2,3,4,6,7,9,8,5]=>00000011=>8
[1,2,3,4,6,8,9,7,5]=>00000101=>8
[1,2,3,4,6,9,8,7,5]=>00000111=>8
[1,2,3,5,6,7,9,8,4]=>00000011=>8
[1,2,3,5,6,8,9,7,4]=>00000101=>8
[1,2,3,5,6,9,8,7,4]=>00000111=>8
[1,2,3,5,7,9,8,6,4]=>00001011=>8
[1,2,3,5,9,8,7,6,4]=>00001111=>8
[1,2,4,5,7,8,9,6,3]=>00001001=>8
[1,2,4,5,7,9,8,6,3]=>00001011=>8
[1,2,4,5,9,8,7,6,3]=>00001111=>8
[1,2,4,6,9,8,7,5,3]=>00010111=>8
[1,2,4,9,8,7,6,5,3]=>00011111=>8
[1,3,5,7,9,8,6,4,2]=>00101011=>8
[1,3,5,9,8,7,6,4,2]=>00101111=>8
[1,2,3,4,5,6,8,10,9,7]=>000000011=>9
[1,2,3,4,5,7,8,10,9,6]=>000000011=>9
[1,2,3,4,5,7,9,10,8,6]=>000000101=>9
[1,2,3,4,5,7,10,9,8,6]=>000000111=>9
[1,2,3,4,6,7,8,10,9,5]=>000000011=>9
[1,2,3,4,6,7,9,10,8,5]=>000000101=>9
[1,2,3,4,6,7,10,9,8,5]=>000000111=>9
[1,2,3,4,6,8,10,9,7,5]=>000001011=>9
[1,2,3,4,6,10,9,8,7,5]=>000001111=>9
[1,2,3,5,6,7,9,10,8,4]=>000000101=>9
[1,2,3,5,6,7,10,9,8,4]=>000000111=>9
[1,2,3,5,6,8,9,10,7,4]=>000001001=>9
[1,2,3,5,6,8,10,9,7,4]=>000001011=>9
[1,2,3,5,6,10,9,8,7,4]=>000001111=>9
[1,2,3,5,7,9,10,8,6,4]=>000010101=>9
[1,2,3,5,7,10,9,8,6,4]=>000010111=>9
[1,2,3,5,10,9,8,7,6,4]=>000011111=>9
[1,2,4,5,7,8,10,9,6,3]=>000010011=>9
[1,2,4,5,7,9,10,8,6,3]=>000010101=>9
[1,2,4,5,7,10,9,8,6,3]=>000010111=>9
[1,2,4,5,10,9,8,7,6,3]=>000011111=>9
[1,2,4,6,10,9,8,7,5,3]=>000101111=>9
[1,2,4,10,9,8,7,6,5,3]=>000111111=>9
[1,3,5,7,9,10,8,6,4,2]=>001010101=>9
[1,3,5,7,10,9,8,6,4,2]=>001010111=>9
[1,3,5,10,9,8,7,6,4,2]=>001011111=>9
[1,3,10,9,8,7,6,5,4,2]=>001111111=>9
[6,7,3,4,8,5,1,2]=>0001011=>7
[7,4,1,8,2,5,6,3]=>0010111=>7
[3,1,7,2,5,6,8,4]=>0100011=>7
[4,1,5,7,3,2,8,6]=>0110011=>7
[6,4,1,7,2,8,5,3]=>0011111=>7
[7,3,1,6,2,8,5,4]=>0101111=>7
[4,8,2,5,3,1,6,7]=>0101001=>7
[5,1,3,4,8,2,6,7]=>0001001=>7
[6,1,4,5,7,8,2,3]=>0000101=>7
[6,3,4,7,1,8,5,2]=>0001111=>7
[7,8,5,1,3,4,6,2]=>0001101=>7
[7,1,3,4,5,6,8,2]=>0000011=>7
[8,5,2,7,6,3,1,4]=>0101111=>7
[1,8,3,5,6,2,7,4]=>0000111=>7
[8,3,2,5,6,1,7,4]=>0100111=>7
[4,2,5,1,6,8,7,3]=>0011011=>7
[5,4,2,7,8,6,1,3]=>0011101=>7
[6,8,7,2,1,3,4,5]=>1000011=>7
[3,7,6,8,5,2,4,1]=>0011011=>7
[1,7,8,5,2,6,3,4]=>0001101=>7
[7,6,1,2,5,3,8,4]=>0001111=>7
[5,8,7,2,6,3,4,1]=>0010111=>7
[7,6,2,4,8,1,5,3]=>0001111=>7
[1,5,7,3,8,6,2,4]=>0000111=>7
[6,7,5,1,8,2,3,4]=>0001011=>7
[7,6,1,2,4,3,8,5]=>0010111=>7
[6,7,2,1,5,3,8,4]=>1001011=>7
[4,3,2,8,7,1,6,5]=>0110111=>7
[4,8,3,2,7,1,6,5]=>0100111=>7
[4,8,3,1,7,6,5,2]=>0101111=>7
[5,3,8,7,1,6,4,2]=>0011111=>7
[5,8,7,3,1,6,4,2]=>0110111=>7
[5,3,8,2,1,7,6,4]=>1001111=>7
[3,8,7,2,6,5,1,4]=>0001111=>7
[7,4,1,8,6,5,3,2]=>0111111=>7
[5,4,2,8,1,7,6,3]=>0011111=>7
[5,8,4,2,1,7,6,3]=>1010111=>7
[5,8,4,7,1,6,3,2]=>0100111=>7
[5,4,8,3,1,7,6,2]=>0101111=>7
[8,5,6,1,4,7,2,3]=>0000111=>7
[6,7,4,1,2,5,8,3]=>0010011=>7
[1,6,7,4,2,5,8,3]=>0010011=>7
[3,6,7,5,8,1,2,4]=>0000011=>7
[1,6,7,5,8,3,2,4]=>0100011=>7
[3,8,6,5,7,4,1,2]=>0010111=>7
[8,1,6,5,7,4,3,2]=>0110111=>7
[5,2,1,6,8,4,7,3]=>1001011=>7
[6,5,8,7,4,2,3,1]=>0110111=>7
[6,8,5,7,4,2,1,3]=>1010011=>7
[3,6,7,5,8,2,1,4]=>1000011=>7
[4,7,5,3,8,1,2,6]=>0001011=>7
[4,7,5,3,6,1,2,8]=>0001110=>7
[4,7,5,3,1,6,2,8]=>0101110=>7
[2,7,5,3,6,4,8,1]=>0001111=>7
[4,7,5,3,8,1,6,2]=>0001111=>7
[2,7,5,8,6,3,4,1]=>0010111=>7
[2,7,5,6,8,3,4,1]=>0010011=>7
[2,7,5,6,8,3,1,4]=>0100011=>7
[4,7,5,3,6,8,1,2]=>0001011=>7
[2,7,5,6,3,8,4,1]=>0010111=>7
[2,7,5,3,6,8,1,4]=>0001011=>7
[8,7,5,3,1,4,6,2]=>0101111=>7
[2,7,5,3,1,4,8,6]=>0101011=>7
[2,7,5,3,4,8,6,1]=>0001111=>7
[5,7,6,2,8,3,1,4]=>0100111=>7
[5,1,6,3,2,4,8,7]=>0101101=>7
[5,7,6,1,8,3,2,4]=>0100111=>7
[3,8,7,2,1,5,4,6]=>1001011=>7
[6,1,7,2,8,4,3,5]=>0010111=>7
[4,8,5,6,7,3,1,2]=>0100011=>7
[3,7,6,2,8,5,1,4]=>0001111=>7
[6,1,7,3,8,5,2,4]=>0001111=>7
[7,1,8,3,2,5,4,6]=>0101011=>7
[2,7,8,3,1,5,4,6]=>0101001=>7
[4,8,5,6,7,2,1,3]=>1000011=>7
[5,8,6,2,7,4,1,3]=>0010111=>7
[2,4,6,7,8,5,1,3]=>0001001=>7
[2,4,6,7,8,3,1,5]=>0100001=>7
[4,7,6,2,8,5,1,3]=>0001111=>7
[5,8,7,3,2,4,1,6]=>0110011=>7
[4,6,5,8,7,3,1,2]=>0100111=>7
[8,3,1,7,2,6,4,5]=>0100111=>7
[4,5,1,2,8,7,3,6]=>0001011=>7
[5,6,1,2,8,3,7,4]=>0000111=>7
[5,8,7,1,6,2,4,3]=>0010111=>7
[8,4,5,1,7,6,2,3]=>0001111=>7
[6,3,1,4,8,2,7,5]=>0100111=>7
[8,5,6,1,7,2,4,3]=>0010111=>7
[7,5,6,1,3,8,4,2]=>0010111=>7
[5,7,6,1,3,8,4,2]=>0010111=>7
[6,7,1,4,2,8,5,3]=>0011011=>7
[2,1,6,4,8,3,7,5]=>1000111=>7
[7,4,5,1,3,8,6,2]=>0001111=>7
[1,5,7,8,4,2,3,6]=>0010001=>7
[1,3,6,4,2,5,7,8]=>0010100=>7
[1,4,5,7,8,3,6,2]=>0000101=>7
[1,5,7,8,3,6,2,4]=>0000101=>7
[1,5,7,8,2,4,3,6]=>0010001=>7
[6,8,4,7,3,2,1,5]=>1100011=>7
[6,8,5,4,2,7,1,3]=>0011011=>7
[1,8,4,6,3,2,7,5]=>0100111=>7
[6,4,8,5,3,2,1,7]=>1101101=>7
[3,5,6,1,4,2,7,8]=>0010100=>7
[1,6,3,8,4,2,7,5]=>0010111=>7
[7,1,3,2,4,6,8,5]=>0100011=>7
[2,6,5,7,8,3,1,4]=>0100101=>7
[4,1,8,2,6,7,5,3]=>0011011=>7
[3,6,7,8,2,1,4,5]=>1000001=>7
[2,5,7,1,6,3,4,8]=>0000110=>7
[4,2,8,3,6,5,1,7]=>0011101=>7
[6,3,8,7,2,4,5,1]=>0001111=>7
[7,6,1,8,2,4,5,3]=>0001111=>7
[2,5,6,3,4,8,1,7]=>0000101=>7
[5,2,4,7,8,6,1,3]=>0001101=>7
[7,2,1,3,4,8,5,6]=>1000011=>7
[2,4,5,7,1,8,6,3]=>0000111=>7
[8,1,6,2,3,4,7,5]=>0000111=>7
[6,1,4,2,5,7,8,3]=>0010101=>7
[6,5,1,2,3,7,8,9,4]=>00011001=>8
[1,6,7,2,4,3,5,8]=>0010010=>7
[1,8,3,4,5,2,7,6]=>0001011=>7
[1,8,3,6,4,7,2,5]=>0000111=>7
[1,4,7,2,5,6,3,8]=>0000110=>7
[7,3,5,8,2,6,1,4]=>0000111=>7
[3,4,8,6,7,2,1,5]=>1000011=>7
[3,4,8,2,5,1,7,6]=>0001011=>7
[1,7,2,5,8,4,3,6]=>0010011=>7
[1,4,6,7,8,3,5,2]=>0001001=>7
[4,1,5,3,6,8,7,2]=>0011011=>7
[5,8,7,4,6,2,3,1]=>0100111=>7
[6,8,7,1,5,3,4,2]=>0011011=>7
[2,7,8,4,6,5,1,3]=>0001101=>7
[3,7,8,5,4,6,2,1]=>1001101=>7
[4,8,7,5,2,6,3,1]=>0101111=>7
[2,8,7,4,6,1,5,3]=>0001111=>7
[4,8,7,2,5,6,3,1]=>0100111=>7
[4,7,8,5,3,6,2,1]=>1001101=>7
[6,4,8,1,5,7,3,2]=>0100111=>7
[1,6,8,3,5,2,7,4]=>0001011=>7
[4,5,8,6,3,7,2,1]=>1000111=>7
[2,6,7,8,4,5,1,3]=>0001001=>7
[6,1,2,8,4,7,5,3]=>0001111=>7
[4,7,1,8,5,6,3,2]=>0100111=>7
[5,7,1,8,2,6,4,3]=>0010111=>7
[7,2,1,8,6,4,5,3]=>1001111=>7
[5,3,8,4,7,6,2,1]=>1001111=>7
[2,5,8,1,7,4,6,3]=>0000111=>7
[4,5,8,3,7,6,2,1]=>1000111=>7
[1,7,2,8,6,4,5,3]=>0001111=>7
[3,5,7,8,1,6,2,4]=>0000101=>7
[2,4,7,8,5,6,1,3]=>0000101=>7
[4,1,7,8,5,6,3,2]=>0110101=>7
[3,5,8,6,4,7,2,1]=>1000111=>7
[2,4,8,5,7,6,1,3]=>0000111=>7
[2,6,3,8,5,1,7,4]=>0001111=>7
[4,1,5,8,6,7,3,2]=>0110011=>7
[5,3,4,7,6,1,2,8]=>0001110=>7
[6,2,1,4,8,3,7,5]=>1000111=>7
[2,8,5,4,1,3,7,6]=>0011011=>7
[4,2,8,7,1,3,5,6]=>0010011=>7
[5,4,6,3,1,7,2,8]=>0101110=>7
[4,3,6,5,1,8,2,7]=>0011101=>7
[1,5,6,8,7,3,2,4]=>0100011=>7
[1,4,8,3,6,5,2,7]=>0001101=>7
[1,3,8,6,4,7,2,5]=>0000111=>7
[1,2,8,6,4,3,7,5]=>0010111=>7
[6,5,1,8,7,3,2,4]=>0101111=>7
[4,1,7,6,8,3,2,5]=>0110011=>7
[1,8,4,7,6,2,3,5]=>0000111=>7
[8,3,2,6,1,7,4,5]=>0100111=>7
[1,6,3,7,4,5,2,8]=>0001110=>7
[2,6,3,7,4,8,5,1]=>0001111=>7
[4,6,1,7,8,2,5,3]=>0001101=>7
[7,2,3,8,4,5,6,1]=>0000111=>7
[5,2,6,7,8,3,4,1]=>0011001=>7
[6,5,8,1,2,7,4,3]=>0010111=>7
[6,5,1,8,7,2,4,3]=>0011111=>7
[5,8,4,3,7,2,1,6]=>1010011=>7
[6,1,2,8,7,3,4,5]=>0000111=>7
[7,3,2,8,4,6,1,5]=>0100111=>7
[4,5,1,7,6,2,8,3]=>0001111=>7
[1,5,2,7,6,3,4,8]=>0001110=>7
[7,2,6,8,3,5,4,1]=>0011011=>7
[4,8,1,7,6,2,5,3]=>0001111=>7
[7,2,8,6,5,3,4,1]=>0011111=>7
[4,1,8,7,6,5,2,3]=>0011111=>7
[7,6,5,2,8,4,3,1]=>0111111=>7
[6,5,1,8,7,4,3,2]=>0111111=>7
[7,5,1,8,6,4,3,2]=>0111111=>7
[8,5,1,7,6,4,3,2]=>0111111=>7
[8,5,3,7,6,1,4,2]=>0011111=>7
[3,8,7,6,1,5,4,2]=>0011111=>7
[10,9,1,2,3,4,5,6,7,11,8]=>0000000111=>10
[9,1,8,2,3,4,5,6,10,7]=>000000111=>9
[9,7,1,2,3,4,5,6,10,8]=>000001011=>9
[2,10,1,9,3,4,5,6,7,8]=>000000011=>9
[2,10,8,1,3,4,5,6,7,9]=>000000101=>9
[2,11,10,1,3,4,5,6,7,8,9]=>0000000011=>10
[8,3,7,5,4,1,6,2]=>0011111=>7
[4,5,3,1,8,7,2,6]=>0101011=>7
[3,4,8,1,5,2,6,7]=>0001001=>7
[8,6,5,7,1,3,2,4]=>0100111=>7
[1,5,8,6,2,7,4,3]=>0010111=>7
[3,1,8,5,7,2,6,4]=>0100111=>7
[6,8,5,3,4,2,1,7]=>1011001=>7
[8,5,2,6,4,3,1,7]=>0111101=>7
[8,6,4,5,2,1,7,3]=>1001111=>7
[8,5,2,6,1,4,7,3]=>0001111=>7
[2,7,5,8,1,4,6,3]=>0000111=>7
[3,2,6,7,1,8,5,4]=>0101011=>7
[3,4,6,7,8,2,1,5]=>1000001=>7
[3,2,6,7,8,4,1,5]=>0110001=>7
[6,2,7,4,8,5,1,3]=>0001111=>7
[6,7,1,3,8,5,4,2]=>0011011=>7
[6,7,1,8,5,2,4,3]=>0011011=>7
[1,2,6,7,8,5,3,4]=>0001001=>7
[1,6,7,4,8,3,2,5]=>0100011=>7
[1,4,6,7,8,3,2,5]=>0100001=>7
[6,1,2,4,5,3,7,8]=>0001100=>7
[8,1,7,3,2,6,4,5]=>0100111=>7
[4,1,3,2,5,6,7,8,9]=>01100000=>8
[6,1,2,4,5,3,7,8,9]=>00011000=>8
[5,4,1,2,3,6,7,8,9]=>00110000=>8
[8,1,2,3,5,6,7,4,9]=>00000110=>8
[4,1,6,3,5,2,7,8,9]=>00111000=>8
[8,1,7,3,2,6,4,5,9]=>01001110=>8
[5,7,1,6,2,4,3,8,9]=>00101100=>8
[7,3,4,6,1,2,5,8,9]=>00001100=>8
[6,1,2,9,4,5,7,8,3]=>00001011=>8
[4,1,6,3,8,5,7,2,9]=>00101110=>8
[6,8,5,1,7,2,3,4,9]=>00010110=>8
[8,3,4,5,7,1,2,6,9]=>00000110=>8
[5,7,1,9,2,8,4,6,3]=>00001111=>8
[7,9,4,6,1,8,2,3,5]=>00001011=>8
[4,1,3,2,5,6,7,8,9,10]=>011000000=>9
[6,1,2,4,5,3,7,8,9,10]=>000110000=>9
[5,4,1,2,3,6,7,8,9,10]=>001100000=>9
[8,1,2,3,5,6,7,4,9,10]=>000001100=>9
[4,1,6,3,5,2,7,8,9,10]=>001110000=>9
[8,1,7,3,2,6,4,5,9,10]=>010011100=>9
[5,7,1,6,2,4,3,8,9,10]=>001011000=>9
[7,3,4,6,1,2,5,8,9,10]=>000011000=>9
[6,1,2,9,4,5,7,8,3,10]=>000010110=>9
[4,1,6,3,8,5,7,2,9,10]=>001011100=>9
[6,8,5,1,7,2,3,4,9,10]=>000101100=>9
[8,3,4,5,7,1,2,6,9,10]=>000001100=>9
[10,1,6,3,9,5,2,8,4,7]=>000110111=>9
[5,7,1,9,2,8,4,6,3,10]=>000011110=>9
[7,9,4,6,1,8,2,3,5,10]=>000010110=>9
[9,3,4,5,6,8,1,2,7,10]=>000000110=>9
[4,1,6,3,8,5,10,7,9,2]=>001010111=>9
[6,8,10,1,7,2,9,3,5,4]=>000101011=>9
[8,10,4,5,7,1,9,2,3,6]=>000001011=>9
[10,3,4,5,6,7,9,1,2,8]=>000000011=>9
[8,7,2,1,5,4,6,3]=>1001111=>7
[2,7,4,8,6,5,3,1]=>0101111=>7
[7,6,5,2,4,1,8,3]=>0011111=>7
[7,6,4,3,1,5,8,2]=>0110111=>7
[6,1,8,7,2,3,5,4]=>0001111=>7
[8,6,1,2,7,3,4,5]=>0000111=>7
[3,6,8,2,7,1,5,4]=>0001011=>7
[2,8,6,1,4,5,7,3]=>0000111=>7
[6,8,7,2,5,4,1,3]=>0011011=>7
[3,5,7,9,1,2,4,6,8,10]=>000000010=>9
[4,1,2,3,5,6,7,8,9,10]=>001000000=>9
[5,1,2,3,4,6,7,8,9,10]=>000100000=>9
[8,1,2,3,4,5,6,7,9,10]=>000000100=>9
[7,1,2,3,4,5,6,8,9,10]=>000001000=>9
[6,1,2,3,4,5,7,8,9,10]=>000010000=>9
[3,2,6,4,8,7,5,1]=>0101111=>7
[4,7,2,8,6,5,1,3]=>0001111=>7
[4,7,1,8,6,5,3,2]=>0101111=>7
[2,7,4,8,3,6,1,5]=>0000111=>7
[4,7,3,8,6,1,5,2]=>0001111=>7
[4,3,6,8,7,2,5,1]=>0011011=>7
[4,3,8,2,5,7,6,1]=>0010111=>7
[4,1,2,6,8,7,5,3]=>0011011=>7
[3,1,6,4,8,7,2,5]=>0100111=>7
[4,1,6,8,7,5,2,3]=>0011011=>7
[3,8,1,4,5,7,2,6]=>0000011=>7
[3,8,1,4,2,5,7,6]=>0010011=>7
[4,1,8,3,5,2,7,6]=>0011011=>7
[3,8,1,2,5,4,7,6]=>0001011=>7
[4,2,3,6,8,7,1,5]=>0010011=>7
[4,2,8,3,5,1,7,6]=>0011011=>7
[4,2,8,3,5,7,6,1]=>0010111=>7
[3,8,2,4,5,7,6,1]=>0000111=>7
[3,8,2,5,1,4,7,6]=>0001011=>7
[4,2,8,5,7,1,3,6]=>0010011=>7
[3,8,1,5,2,4,7,6]=>0001011=>7
[7,5,6,4,1,3,2,8]=>0110110=>7
[7,8,6,4,1,3,2,5]=>0110101=>7
[7,1,4,2,5,6,3,8]=>0010110=>7
[7,3,2,1,4,6,5,8]=>1100110=>7
[7,6,1,4,3,2,5,8]=>0110110=>7
[7,4,1,3,5,6,2,8]=>0010110=>7
[2,7,1,3,5,6,8,4]=>0000011=>7
[3,6,2,1,5,8,7,4]=>1000111=>7
[2,3,6,1,5,8,7,4]=>0000111=>7
[3,4,7,1,5,6,8,2]=>0000011=>7
[3,6,7,4,1,2,8,5]=>0010011=>7
[4,3,2,7,1,6,8,5]=>0110011=>7
[7,3,2,8,1,6,4,5]=>0100111=>7
[7,4,8,1,5,6,3,2]=>0100111=>7
[2,6,8,1,5,3,7,4]=>0001011=>7
[6,8,2,1,5,3,7,4]=>1001011=>7
[4,8,2,5,3,6,7,1]=>0001011=>7
[4,5,8,2,3,6,7,1]=>0000011=>7
[2,4,8,5,3,6,7,1]=>0001011=>7
[5,3,2,6,4,8,7,1]=>0101111=>7
[2,4,5,3,8,6,7,1]=>0001011=>7
[4,3,5,2,8,6,7,1]=>0011011=>7
[4,8,5,3,2,6,7,1]=>0101011=>7
[3,5,4,2,8,6,7,1]=>0011011=>7
[4,1,2,7,5,6,8,3]=>0010011=>7
[5,6,7,4,2,8,3,1]=>0110011=>7
[2,5,7,4,6,8,3,1]=>0100011=>7
[7,5,2,4,3,8,6,1]=>0011111=>7
[6,8,1,2,5,4,7,3]=>0001011=>7
[6,4,1,8,5,2,7,3]=>0011111=>7
[2,6,1,8,5,4,7,3]=>0001111=>7
[7,1,2,8,5,6,4,3]=>0010111=>7
[4,3,2,6,8,5,7,1]=>0110011=>7
[3,7,6,4,8,5,2,1]=>1001111=>7
[3,1,6,8,5,4,7,2]=>0101011=>7
[2,3,5,8,4,6,7,1]=>0000011=>7
[3,5,2,8,4,6,7,1]=>0001011=>7
[3,4,5,8,2,6,7,1]=>0000011=>7
[5,4,2,8,3,6,7,1]=>0011011=>7
[5,3,4,8,2,6,7,1]=>0001011=>7
[2,5,4,8,3,6,7,1]=>0001011=>7
[6,3,2,5,8,4,7,1]=>0100111=>7
[6,1,8,3,5,4,7,2]=>0001111=>7
[5,4,8,3,2,6,7,1]=>0101011=>7
[5,8,2,3,4,6,7,1]=>0000011=>7
[6,2,1,7,8,5,4,3]=>1011101=>7
[3,4,5,2,7,1,6,8]=>0001010=>7
[7,5,6,1,2,3,8,4]=>0000111=>7
[1,5,7,6,3,2,8,4]=>0100111=>7
[8,4,6,7,3,2,5,1]=>0101011=>7
[8,4,6,2,3,1,5,7]=>0100101=>7
[7,5,2,1,4,3,8,6]=>1011011=>7
[3,1,7,8,5,4,2,6]=>0111001=>7
[3,4,5,2,1,8,6,7]=>1001001=>7
[7,6,4,8,3,1,2,5]=>0100111=>7
[7,4,8,5,6,1,2,3]=>0000111=>7
[6,2,8,5,1,3,4,7]=>0001101=>7
[3,2,7,8,6,1,4,5]=>0100101=>7
[6,8,2,5,1,3,7,4]=>0001011=>7
[6,7,4,2,1,5,3,8]=>1011010=>7
[5,7,4,1,3,6,2,8]=>0010110=>7
[4,2,7,5,1,8,3,6]=>0011011=>7
[4,1,6,5,3,8,2,7]=>0011101=>7
[1,5,4,6,3,8,2,7]=>0001101=>7
[1,8,6,4,7,3,2,5]=>0100111=>7
[4,7,1,8,6,3,5,2]=>0001111=>7
[5,4,8,1,7,3,6,2]=>0001111=>7
[4,3,8,6,2,1,7,5]=>1010111=>7
[8,3,6,2,4,1,7,5]=>0010111=>7
[7,8,3,2,4,6,5,1]=>0101101=>7
[7,2,8,5,3,1,6,4]=>0101111=>7
[2,5,4,8,7,3,6,1]=>0001111=>7
[6,4,2,8,7,3,1,5]=>0110111=>7
[3,6,8,1,7,4,2,5]=>0010011=>7
[7,8,6,3,1,4,5,2]=>0101101=>7
[3,8,6,1,7,5,2,4]=>0001111=>7
[2,7,5,4,8,3,1,6]=>0101011=>7
[6,8,7,5,2,1,3,4]=>1001011=>7
[7,6,2,8,5,1,3,4]=>0001111=>7
[1,5,7,6,2,8,4,3]=>0010111=>7
[1,6,5,2,7,8,4,3]=>0011101=>7
[4,7,8,5,6,2,3,1]=>0100101=>7
[2,7,8,5,6,1,4,3]=>0010101=>7
[6,7,8,4,2,1,5,3]=>1011001=>7
[4,7,8,1,2,5,6,3]=>0000101=>7
[8,6,4,1,2,5,7,3]=>0010111=>7
[6,1,4,7,2,5,8,3]=>0000111=>7
[6,7,8,3,5,4,2,1]=>1011001=>7
[6,7,8,2,1,5,3,4]=>1001001=>7
[5,6,3,2,7,4,1,8]=>0110110=>7
[2,6,4,3,7,5,8,1]=>0010111=>7
[7,2,3,6,1,8,4,5]=>0000111=>7
[3,4,6,5,7,1,2,8]=>0000110=>7
[7,6,2,3,5,4,8,1]=>0001111=>7
[8,5,2,4,3,6,1,7]=>0011101=>7
[8,5,7,2,4,1,6,3]=>0010111=>7
[2,6,7,5,8,1,4,3]=>0010011=>7
[7,4,8,2,1,5,6,3]=>1000111=>7
[2,3,6,7,8,5,1,4]=>0001001=>7
[8,3,7,1,6,4,2,5]=>0010111=>7
[8,2,1,7,6,5,3,4]=>1001111=>7
[5,7,4,1,6,8,2,3]=>0010011=>7
[6,5,1,2,8,3,4,7]=>0001101=>7
[5,6,8,1,3,7,2,4]=>0000011=>7
[3,7,4,8,6,1,2,5]=>0000111=>7
[1,6,8,5,3,2,4,7]=>0101001=>7
[5,8,1,6,7,4,2,3]=>0010011=>7
[7,2,8,4,6,1,3,5]=>0000111=>7
[6,2,7,4,3,8,1,5]=>0010111=>7
[1,7,8,4,6,2,3,5]=>0000101=>7
[7,1,8,4,6,2,3,5]=>0000111=>7
[8,1,6,5,4,7,2,3]=>0001111=>7
[4,1,6,8,7,3,2,5]=>0110011=>7
[5,1,4,6,7,3,8,2]=>0001011=>7
[7,1,3,4,6,2,8,5]=>0000111=>7
[3,4,1,6,2,5,8,7,9]=>00101010=>8
[3,4,1,2,6,5,8,7,9]=>00101010=>8
[2,4,1,6,3,5,8,7,10,9,11]=>0010101010=>10
[3,4,1,6,2,5,8,7,10,9]=>001010101=>9
[3,5,1,6,2,4,8,7,9]=>00011010=>8
[2,5,1,6,3,4,8,7,9]=>00011010=>8
[3,5,1,2,6,4,8,7,9]=>00011010=>8
[2,5,1,3,6,4,8,7,9]=>00011010=>8
[8,7,1,4,6,3,2,5]=>0100111=>7
[6,5,2,8,4,7,1,3]=>0001111=>7
[1,4,7,5,8,6,3,2]=>0100111=>7
[6,1,8,3,4,7,2,5]=>0000111=>7
[1,8,6,3,5,2,7,4]=>0001111=>7
[7,8,1,3,5,4,2,6]=>0011001=>7
[4,7,1,6,8,3,5,2]=>0001011=>7
[3,6,5,2,8,4,1,7]=>0011101=>7
[8,2,5,6,3,1,7,4]=>0100111=>7
[7,1,8,4,2,5,3,6]=>0011011=>7
[1,4,8,7,5,2,6,3]=>0001111=>7
[1,5,6,4,2,3,7,8]=>0010100=>7
[5,7,3,6,8,4,2,1]=>1010011=>7
[5,8,7,4,2,1,3,6]=>1010011=>7
[3,1,5,2,7,8,6,4]=>0101101=>7
[1,8,7,3,2,5,4,6]=>0101011=>7
[1,2,5,4,8,7,3,6]=>0001011=>7
[1,2,4,8,6,3,5,7]=>0000101=>7
[1,5,2,4,7,3,8,6]=>0001011=>7
[8,6,3,5,7,4,1,2]=>0010111=>7
[8,5,3,2,1,4,7,6]=>1101011=>7
[1,2,7,6,8,4,3,5]=>0010011=>7
[1,6,3,2,5,7,8,4]=>0100101=>7
[1,7,3,4,2,6,8,5]=>0010011=>7
[1,6,3,5,8,4,2,7]=>0010101=>7
[1,5,6,3,2,8,4,7]=>0100101=>7
[1,2,5,8,4,6,3,7]=>0000101=>7
[1,5,3,2,7,8,4,6]=>0101001=>7
[4,1,8,6,2,3,7,5]=>0010111=>7
[7,5,8,6,2,3,4,1]=>0010111=>7
[1,7,6,4,3,8,5,2]=>0011111=>7
[1,8,5,7,6,3,2,4]=>0100111=>7
[1,4,7,3,6,8,5,2]=>0001011=>7
[1,6,3,5,7,8,4,2]=>0010101=>7
[1,5,6,3,2,7,8,4]=>0100101=>7
[1,2,7,6,8,4,5,3]=>0001011=>7
[1,8,4,7,5,3,2,6]=>0101011=>7
[6,8,5,2,1,7,4,3]=>1011011=>7
[1,2,6,8,4,3,7,5]=>0010011=>7
[5,3,7,2,6,4,1,8]=>0011110=>7
[5,3,8,2,6,1,7,4]=>0001111=>7
[7,6,2,5,3,4,1,8]=>0011110=>7
[7,6,2,4,5,3,1,8]=>0101110=>7
[7,6,2,4,3,5,1,8]=>0011110=>7
[7,6,2,3,5,4,1,8]=>0011110=>7
[8,4,2,7,1,6,3,5]=>0010111=>7
[8,7,6,1,5,3,2,4]=>0101111=>7
[8,7,6,1,4,3,5,2]=>0011111=>7
[8,7,6,1,3,5,4,2]=>0011111=>7
[8,7,6,1,5,4,2,3]=>0011111=>7
[8,6,2,7,1,5,3,4]=>0001111=>7
[5,3,7,2,8,1,6,4]=>0001111=>7
[8,3,5,4,2,1,6,7]=>1011001=>7
[7,8,4,3,1,5,2,6]=>0111001=>7
[8,6,3,7,1,5,2,4]=>0001111=>7
[8,7,6,1,2,5,3,4]=>0001111=>7
[8,7,6,1,2,5,4,3]=>0011111=>7
[8,7,6,1,4,2,5,3]=>0011111=>7
[4,7,5,8,6,1,3,2]=>0100111=>7
[6,5,7,3,8,4,1,2]=>0010111=>7
[8,7,5,4,1,2,6,3]=>0011111=>7
[8,6,7,1,5,3,2,4]=>0101011=>7
[7,5,6,1,3,4,2,8]=>0010110=>7
[5,7,8,1,3,4,2,6]=>0010001=>7
[7,8,5,1,3,4,2,6]=>0011001=>7
[5,7,8,3,4,6,1,2]=>0000101=>7
[7,5,1,3,4,2,6,8]=>0011010=>7
[5,7,1,3,4,2,8,6]=>0010011=>7
[7,3,5,6,4,8,1,2]=>0000111=>7
[1,7,3,8,2,5,6,4]=>0000111=>7
[1,5,3,7,8,4,6,2]=>0001101=>7
[1,5,7,3,8,2,6,4]=>0000111=>7
[7,1,5,3,6,2,4,8]=>0001110=>7
[1,7,3,5,8,4,2,6]=>0010011=>7
[1,3,7,5,8,6,2,4]=>0000111=>7
[1,7,8,5,3,6,2,4]=>0001101=>7
[1,7,5,8,3,4,2,6]=>0010011=>7
[7,1,5,6,3,4,2,8]=>0010110=>7
[7,3,5,6,4,1,2,8]=>0010110=>7
[3,7,5,8,4,1,2,6]=>0010011=>7
[7,5,6,8,1,3,4,2]=>0010011=>7
[5,3,4,7,8,1,2,6]=>0001001=>7
[5,3,7,6,8,1,2,4]=>0001011=>7
[3,7,1,2,5,8,4,6]=>0000011=>7
[3,1,2,7,5,8,4,6]=>0100011=>7
[3,1,2,5,7,8,6,4]=>0100101=>7
[7,3,1,5,4,6,2,8]=>0101110=>7
[7,3,5,1,2,6,4,8]=>0001110=>7
[3,7,1,2,8,5,6,4]=>0000111=>7
[5,3,1,7,4,6,8,2]=>0101011=>7
[5,3,7,1,2,6,8,4]=>0001011=>7
[7,4,8,3,5,6,1,2]=>0000111=>7
[2,4,7,3,5,6,1,8]=>0000110=>7
[5,7,6,4,2,3,1,8]=>0110110=>7
[7,4,8,2,5,6,1,3]=>0000111=>7
[5,8,2,4,6,1,3,7]=>0000101=>7
[6,1,4,8,5,2,7,3]=>0001111=>7
[3,4,5,8,1,6,7,2]=>0000011=>7
[6,8,7,4,2,1,5,3]=>1011011=>7
[5,6,8,4,7,3,1,2]=>0100011=>7
[3,1,6,8,5,2,7,4]=>0101011=>7
[2,3,8,1,5,6,4,7]=>0000101=>7
[5,4,8,1,2,6,7,3]=>0001011=>7
[5,1,8,2,4,6,7,3]=>0001011=>7
[4,1,8,2,3,6,7,5]=>0010011=>7
[5,2,3,8,1,7,4,6]=>0001011=>7
[2,3,5,7,1,6,4,8]=>0000110=>7
[1,5,3,8,2,4,6,7]=>0001001=>7
[8,6,2,7,5,1,4,3]=>0011111=>7
[2,7,1,8,6,3,5,4]=>0001111=>7
[5,7,6,1,3,2,8,4]=>0100111=>7
[3,5,4,6,1,7,8,2]=>0001101=>7
[8,1,5,4,6,3,7,2]=>0001111=>7
[2,7,1,5,6,4,3,8]=>0010110=>7
[8,4,6,3,1,7,2,5]=>0100111=>7
[8,4,2,5,6,3,7,1]=>0010111=>7
[8,6,2,7,5,4,3,1]=>0111111=>7
[5,4,7,2,8,6,1,3]=>0001111=>7
[3,5,6,4,1,7,2,8]=>0010110=>7
[2,5,6,1,7,4,3,8]=>0010110=>7
[2,7,1,8,6,5,4,3]=>0011111=>7
[3,7,6,1,8,5,4,2]=>0011111=>7
[8,6,4,2,1,3,5,7,9]=>10101010=>2
[8,6,2,1,4,3,5,7,9]=>10101010=>2
[8,4,2,1,6,3,5,7,9]=>10101010=>2
[6,4,2,1,8,3,5,7,9]=>10101010=>2
[8,6,4,2,9,1,3,5,7]=>00101011=>8
[9,6,4,2,7,1,3,5,8]=>00101101=>8
[9,7,4,2,5,1,3,6,8]=>00110101=>8
[9,7,5,2,3,1,4,6,8]=>01010101=>2
[9,7,5,3,1,2,4,6,8]=>01010101=>2
[10,8,6,4,2,1,3,5,7,9]=>101010101=>9
[10,8,6,2,1,4,3,5,7,9]=>101010101=>9
[8,2,1,4,3,6,5,7,9]=>10101010=>2
[10,8,4,2,1,6,3,5,7,9]=>101010101=>9
[4,2,1,6,3,5,8,7,9]=>10101010=>2
[10,6,4,2,1,8,3,5,7,9]=>101010101=>9
[6,4,2,1,8,3,5,9,7]=>10101011=>8
[8,6,4,2,1,10,3,5,7,9]=>101010101=>9
[6,4,2,7,1,3,5,8,9]=>00101100=>8
[8,6,4,2,9,1,3,5,7,10]=>001010110=>9
[6,2,8,3,1,4,5,7]=>0100101=>7
[8,9,4,2,5,1,3,6,7]=>00110001=>8
[9,6,4,2,7,1,3,5,8,10]=>001011010=>9
[2,7,8,3,1,4,5,6]=>0100001=>7
[9,6,7,2,3,1,4,5,8]=>01000101=>8
[9,7,4,2,5,1,3,6,8,10]=>001101010=>9
[9,7,4,5,1,2,3,6,8]=>00010101=>8
[9,7,5,2,3,1,4,6,8,10]=>010101010=>9
[9,7,5,3,1,2,4,6,8,10]=>010101010=>9
[1,5,3,2,8,6,7,4]=>0101011=>7
[1,8,5,3,2,6,7,4]=>0101011=>7
[1,7,8,5,6,3,2,4]=>0100101=>7
[1,5,6,7,3,2,8,4]=>0100011=>7
[1,7,5,2,3,4,8,6]=>0001011=>7
[1,7,5,2,4,8,6,3]=>0001111=>7
[1,6,7,8,3,2,4,5]=>0100001=>7
[1,4,8,6,2,3,5,7]=>0000101=>7
[1,8,4,5,6,7,2,3]=>0000011=>7
[1,2,8,6,3,4,5,7]=>0000101=>7
[1,2,8,6,3,5,7,4]=>0000111=>7
[1,2,7,8,4,3,5,6]=>0010001=>7
[1,8,6,7,4,2,3,5]=>0010011=>7
[1,6,7,8,4,2,3,5]=>0010001=>7
[1,6,7,8,3,4,2,5]=>0010001=>7
[1,7,8,4,2,3,5,6]=>0010001=>7
[1,7,3,5,6,2,8,4]=>0000111=>7
[1,7,8,3,4,2,5,6]=>0010001=>7
[1,2,3,7,8,5,4,6]=>0001001=>7
[1,2,7,4,6,3,8,5]=>0000111=>7
[1,7,4,5,2,3,8,6]=>0001011=>7
[1,7,8,4,5,2,3,6]=>0001001=>7
[1,7,8,3,4,5,2,6]=>0001001=>7
[1,2,8,4,5,6,3,7]=>0000101=>7
[1,8,4,5,6,2,3,7]=>0000101=>7
[5,8,2,7,3,4,1,6]=>0010011=>7
[6,8,7,2,3,4,1,5]=>0010011=>7
[3,8,7,5,2,6,1,4]=>0001111=>7
[4,8,7,3,2,5,1,6]=>0101011=>7
[5,3,8,1,6,7,4,2]=>0011011=>7
[5,8,2,1,3,7,6,4]=>1000111=>7
[5,1,8,2,6,4,7,3]=>0001111=>7
[5,1,8,3,6,7,4,2]=>0011011=>7
[3,1,8,4,6,2,7,5]=>0100111=>7
[8,4,1,6,5,2,3,7]=>0011101=>7
[1,8,7,6,4,3,5,2]=>0011111=>7
[6,1,8,7,5,3,4,2]=>0011111=>7
[6,8,7,3,2,4,1,5]=>0110011=>7
[2,3,7,5,6,8,4,1]=>0010011=>7
[3,2,4,7,5,8,1,6]=>0100011=>7
[2,8,7,6,4,5,1,3]=>0001111=>7
[4,8,7,6,3,1,5,2]=>0101111=>7
[3,5,2,4,7,6,8,1]=>0001011=>7
[5,3,2,6,4,7,8,1]=>0101101=>7
[5,3,2,6,7,4,8,1]=>0101011=>7
[5,3,2,7,6,4,8,1]=>0101111=>7
[7,3,5,2,8,4,6,1]=>0001111=>7
[3,5,2,7,4,6,8,1]=>0001011=>7
[3,2,5,7,4,6,8,1]=>0100011=>7
[3,2,7,5,4,8,6,1]=>0101111=>7
[3,7,5,2,4,8,6,1]=>0001111=>7
[2,3,7,5,4,8,6,1]=>0001111=>7
[8,3,5,1,6,4,7,2]=>0001111=>7
[8,4,5,6,1,3,7,2]=>0000111=>7
[3,4,7,6,8,2,5,1]=>0001011=>7
[5,2,8,4,1,3,6,7]=>0011001=>7
[3,8,5,2,1,4,6,7]=>1001001=>7
[7,6,4,1,8,2,5,3]=>0011111=>7
[7,5,4,2,1,6,3,8]=>1011110=>7
[8,1,6,7,3,4,2,5]=>0010011=>7
[8,2,1,6,7,4,3,5]=>1010011=>7
[5,2,8,6,3,7,1,4]=>0001111=>7
[7,6,8,1,2,5,4,3]=>0011011=>7
[1,2,9,3,4,5,6,8,7]=>00000011=>8
[1,2,3,8,4,5,9,6,7]=>00000011=>8
[1,2,3,4,9,5,6,8,7]=>00000011=>8
[2,1,3,4,8,5,7,6]=>1000011=>7
[1,2,3,4,5,9,6,8,7]=>00000011=>8
[7,1,2,3,4,8,5,9,6]=>00000111=>8
[6,9,1,2,3,4,8,5,7]=>00000011=>8
[1,2,10,3,4,5,6,7,9,8]=>000000011=>9
[5,1,9,2,3,4,8,6,7]=>00010011=>8
[1,2,3,9,4,5,6,10,7,8]=>000000011=>9
[4,1,2,3,5,8,6,9,7]=>00100011=>8
[1,2,3,4,10,5,6,7,9,8]=>000000011=>9
[3,1,2,4,9,5,8,6,7]=>01000011=>8
[1,2,3,4,5,10,6,7,9,8]=>000000011=>9
[2,1,3,4,5,9,6,8,7]=>10000011=>8
[1,2,3,4,5,6,9,10,7,8]=>000000001=>9
[10,1,2,3,4,5,6,7,11,8,9]=>0000000011=>10
[8,1,2,3,4,5,9,6,10,7]=>000000111=>9
[1,11,2,3,4,5,6,7,8,10,9]=>0000000011=>10
[1,7,2,3,4,5,9,8,6]=>00000111=>8
[7,10,1,2,3,4,5,9,6,8]=>000000011=>9
[1,2,11,3,4,5,6,7,8,10,9]=>0000000011=>10
[1,6,2,3,4,5,9,8,7]=>00001011=>8
[6,1,2,3,7,4,8,9,5]=>00001101=>8
[6,1,10,2,3,4,5,9,7,8]=>000010011=>9
[1,2,3,10,4,5,6,7,11,8,9]=>0000000011=>10
[5,7,1,2,6,8,3,4]=>0000011=>7
[1,2,3,8,5,4,6,9,7]=>00010011=>8
[5,9,1,2,6,3,4,8,7]=>00001011=>8
[5,1,2,3,4,6,9,7,10,8]=>000100011=>9
[1,2,3,4,11,5,6,7,8,10,9]=>0000000011=>10
[1,4,2,3,5,6,9,8,7]=>00100011=>8
[1,5,2,3,6,8,7,4]=>0001011=>7
[4,1,9,5,2,3,6,8,7]=>00110011=>4
[4,1,2,3,10,5,6,9,7,8]=>001000011=>9
[1,2,3,4,5,11,6,7,8,10,9]=>0000000011=>10
[1,3,2,4,5,6,9,8,7]=>01000011=>8
[3,4,1,2,5,6,8,9,7]=>00100001=>8
[3,1,2,4,5,10,6,9,7,8]=>010000011=>9
[1,2,3,4,5,6,10,7,11,8,9]=>0000000011=>10
[2,3,1,4,9,5,6,8,7]=>01000011=>8
[1,2,3,4,5,6,7,11,8,10,9]=>0000000011=>10
[1,2,3,4,5,6,7,8,11,10,9]=>0000000011=>10
[3,5,7,4,1,8,2,6]=>0010011=>7
[8,6,4,7,5,1,2,3]=>0001111=>7
[8,6,4,1,2,5,3,7]=>0011101=>7
[2,8,4,3,1,6,5,7]=>0110101=>7
[3,8,4,6,1,5,2,7]=>0001101=>7
[8,3,5,6,1,4,7,2]=>0000111=>7
[6,8,7,3,5,4,2,1]=>1011011=>7
[3,1,2,8,5,7,4,6]=>0100011=>7
[8,1,2,3,4,6,9,5,7]=>00000011=>8
[8,1,2,4,6,9,3,5,7]=>00000011=>8
[6,1,2,3,4,5,9,8,7]=>00001011=>8
[5,1,2,3,4,8,6,9,7]=>00010011=>8
[4,1,2,3,9,6,8,5,7]=>00100011=>8
[9,1,2,3,4,5,7,10,6,8]=>000000011=>9
[7,3,1,2,5,8,4,6]=>0100011=>7
[3,1,2,8,4,6,9,5,7]=>01000011=>8
[8,3,5,7,2,1,4,6]=>1000011=>7
[2,1,3,8,5,7,4,6]=>1000011=>7
[2,1,9,4,6,8,3,5,7]=>10000011=>8
[9,1,2,3,5,7,10,4,6,8]=>000000011=>9
[1,8,2,4,6,9,3,5,7]=>00000011=>8
[9,1,3,5,7,10,2,4,6,8]=>000000011=>9
[7,3,1,2,8,4,5,6]=>0100011=>7
[2,1,4,7,6,3,5,8]=>1000110=>7
[7,2,4,5,3,8,1,6]=>0001011=>7
[8,4,2,5,6,7,3,1]=>0110011=>7
[5,4,1,6,3,7,8,2]=>0011101=>7
[4,5,1,3,6,7,8,2]=>0001001=>7
[5,1,7,6,3,4,8,2]=>0001111=>7
[6,1,7,5,4,8,2,3]=>0001111=>7
[3,7,2,1,6,8,4,5]=>1000011=>7
[1,5,8,2,4,7,6,3]=>0000111=>7
[5,8,1,6,4,7,3,2]=>0100111=>7
[3,8,6,5,7,2,4,1]=>0010111=>7
[6,8,1,4,7,3,5,2]=>0001011=>7
[1,6,8,2,7,4,5,3]=>0001011=>7
[5,7,2,1,8,4,3,6]=>1010011=>7
[5,7,1,6,8,3,2,4]=>0100011=>7
[5,6,2,1,8,3,4,7]=>1000101=>7
[6,4,1,7,3,8,2,5]=>0010111=>7
[8,2,5,6,7,1,4,3]=>0010011=>7
[7,2,4,6,8,3,1,5]=>0100011=>7
[6,2,4,7,8,1,3,5]=>0000101=>7
[6,1,4,3,2,8,5,7]=>0110101=>7
[2,7,4,8,6,1,5,3]=>0001111=>7
[2,4,8,6,5,7,3,1]=>0100111=>7
[3,7,8,6,4,2,5,1]=>0011101=>7
[6,2,8,4,7,5,1,3]=>0001111=>7
[4,5,7,3,6,8,1,2]=>0000011=>7
[3,4,7,8,6,5,1,2]=>0001101=>7
[1,4,7,2,6,8,5,3]=>0001011=>7
[2,3,7,6,5,1,4,8]=>0001110=>7
[3,2,7,6,4,1,5,8]=>0110110=>7
[6,2,3,5,7,1,4,8]=>0000110=>7
[7,8,1,2,5,6,4,3]=>0010101=>7
[7,1,3,6,8,5,2,4]=>0001011=>7
[4,2,8,5,1,6,3,7]=>0011101=>7
[6,5,8,1,4,2,3,7]=>0010101=>7
[3,8,2,4,5,1,6,7]=>0001001=>7
[3,6,2,4,1,5,7,8]=>0010100=>7
[2,3,8,4,1,6,5,7]=>0010101=>7
[4,5,7,3,1,6,2,8]=>0100110=>7
[2,3,1,4,8,5,7,6]=>0100011=>7
[4,2,6,1,5,8,7,3]=>0010111=>7
[7,5,1,8,4,3,6,2]=>0011111=>7
[3,1,8,5,7,6,4,2]=>0110111=>7
[5,1,8,7,4,6,3,2]=>0101111=>7
[2,4,8,7,5,1,3,6]=>0001011=>7
[3,5,7,6,1,8,4,2]=>0010111=>7
[3,5,7,6,2,8,4,1]=>0010111=>7
[1,5,3,2,8,7,6,4]=>0101111=>7
[6,1,4,3,8,7,5,2]=>0011111=>7
[6,3,1,8,7,4,2,5]=>0110111=>7
[5,3,6,2,8,7,4,1]=>0011111=>7
[6,3,5,2,1,8,7,4]=>1001111=>7
[2,8,4,1,3,7,6,5]=>0010111=>7
[3,8,1,4,7,6,5,2]=>0001111=>7
[6,2,3,8,7,5,4,1]=>0011111=>7
[4,1,3,5,8,7,6,2]=>0010111=>7
[3,4,7,5,8,1,2,6]=>0000011=>7
[2,7,8,3,4,1,5,6]=>0010001=>7
[2,8,6,7,5,4,3,1]=>0111011=>7
[7,2,6,8,1,4,3,5]=>0010011=>7
[5,3,6,2,8,4,7,1]=>0001111=>7
[8,1,6,3,7,4,5,2]=>0001111=>7
[2,4,3,7,1,8,6,5]=>0010111=>7
[2,6,5,7,3,8,4,1]=>0010111=>7
[6,8,2,7,4,1,5,3]=>0011011=>7
[6,1,7,8,5,3,2,4]=>0101101=>7
[2,6,5,4,7,1,8,3]=>0001111=>7
[5,8,3,4,6,1,7,2]=>0000111=>7
[6,1,7,4,2,5,8,3]=>0010111=>7
[6,8,7,1,5,4,2,3]=>0011011=>7
[4,8,3,1,5,7,6,2]=>0100111=>7
[5,3,8,2,7,1,6,4]=>0001111=>7
[8,3,4,5,2,7,1,6]=>0001011=>7
[8,2,6,7,1,5,3,4]=>0001011=>7
[7,1,5,2,6,3,4,8]=>0001110=>7
[3,7,1,5,2,6,8,4]=>0001011=>7
[6,7,1,8,3,4,5,2]=>0001011=>7
[3,7,1,6,8,4,5,2]=>0001011=>7
[3,8,5,2,6,7,1,4]=>0001011=>7
[3,6,5,2,7,1,4,8]=>0001110=>7
[6,8,3,4,7,1,5,2]=>0001011=>7
[3,7,1,6,5,2,8,4]=>0001111=>7
[8,3,5,2,7,1,6,4]=>0001111=>7
[7,1,8,4,6,3,5,2]=>0001111=>7
[3,8,6,4,7,1,5,2]=>0001111=>7
[3,7,1,4,8,6,5,2]=>0001111=>7
[3,7,1,4,5,2,8,6]=>0001011=>7
[2,3,7,6,5,8,1,4]=>0000111=>7
[4,3,5,6,7,8,9,1,2]=>00100001=>8
[6,7,8,5,4,3,2,1,9]=>11110010=>8
[6,5,7,8,4,3,2,1,9]=>11101010=>8
[6,5,4,7,8,3,2,1,9]=>11011010=>8
[6,5,4,3,7,8,2,1,9]=>10111010=>8
[6,5,4,3,2,7,8,1,9]=>01111010=>8
[7,8,9,5,4,3,2,1,6]=>11110001=>8
[7,8,9,6,5,4,3,2,1,10]=>111110010=>9
[6,7,8,9,4,3,2,1,5]=>11100001=>8
[7,6,8,9,5,4,3,2,1,10]=>111101010=>9
[6,5,7,8,9,3,2,1,4]=>11001001=>8
[7,6,5,8,9,4,3,2,1,10]=>111011010=>9
[6,5,4,7,8,9,2,1,3]=>10011001=>4
[7,6,5,4,8,9,3,2,1,10]=>110111010=>9
[6,5,4,3,7,8,9,1,2]=>00111001=>8
[7,6,5,4,3,8,9,2,1,10]=>101111010=>9
[6,5,4,3,2,7,8,9,1]=>01111001=>8
[7,6,5,4,3,2,8,9,1,10]=>011111010=>9
[3,5,7,6,8,2,1,4]=>1000011=>7
[4,2,5,3,7,6,1,8]=>0011110=>7
[6,2,4,3,7,5,1,8]=>0011110=>7
[1,3,6,4,7,5,2,8]=>0001110=>7
[8,2,5,3,6,4,1,7]=>0011101=>7
[7,2,5,3,6,4,1,8]=>0011110=>7
[6,2,5,3,7,4,1,8]=>0011110=>7
[4,2,6,3,7,5,1,8]=>0011110=>7
[5,2,7,3,6,4,1,8]=>0011110=>7
[7,3,6,2,5,4,1,8]=>0011110=>7
[6,3,8,2,5,4,1,7]=>0011101=>7
[7,3,1,4,6,5,2,8]=>0101110=>7
[8,3,7,2,5,4,1,6]=>0011011=>7
[5,2,8,3,6,4,1,7]=>0011101=>7
[3,2,8,4,6,5,1,7]=>0101101=>7
[1,4,7,3,6,5,2,8]=>0001110=>7
[8,2,5,4,1,6,3,7]=>0011101=>7
[8,2,6,4,1,5,3,7]=>0011101=>7
[1,4,8,3,7,5,2,6]=>0001011=>7
[6,2,1,4,8,5,3,7]=>1001101=>7
[5,2,1,4,8,6,3,7]=>1001101=>7
[3,2,1,5,8,6,4,7]=>1100101=>7
[4,2,8,3,7,5,1,6]=>0011011=>7
[5,2,8,3,7,4,1,6]=>0011011=>7
[8,3,7,2,6,4,1,5]=>0010111=>7
[7,3,1,4,8,5,2,6]=>0101011=>7
[1,3,7,4,8,5,2,6]=>0001011=>7
[8,2,6,3,7,4,1,5]=>0010111=>7
[7,2,6,3,8,4,1,5]=>0010111=>7
[5,2,7,3,8,4,1,6]=>0011011=>7
[3,2,7,4,8,5,1,6]=>0101011=>7
[5,2,6,3,8,4,1,7]=>0011101=>7
[6,2,5,3,8,4,1,7]=>0011101=>7
[7,2,5,3,8,4,1,6]=>0011011=>7
[8,2,5,3,7,4,1,6]=>0011011=>7
[1,3,6,4,8,5,2,7]=>0001101=>7
[1,3,5,4,8,6,2,7]=>0001101=>7
[8,2,4,3,7,5,1,6]=>0011011=>7
[7,2,4,3,8,5,1,6]=>0011011=>7
[6,2,4,3,8,5,1,7]=>0011101=>7
[5,2,4,3,8,6,1,7]=>0011101=>7
[4,2,5,3,8,6,1,7]=>0011101=>7
[4,2,5,3,1,7,6,8]=>0111010=>7
[6,2,4,3,1,7,5,8]=>0110110=>7
[7,2,4,3,1,6,5,8]=>0110110=>7
[8,5,1,3,6,4,2,7]=>0011101=>7
[8,4,1,3,6,5,2,7]=>0011101=>7
[1,5,2,4,7,6,3,8]=>0001110=>7
[7,2,5,3,1,6,4,8]=>0101110=>7
[6,2,5,3,1,7,4,8]=>0101110=>7
[4,2,6,3,1,7,5,8]=>0110110=>7
[3,2,6,4,1,7,5,8]=>0110110=>7
[3,2,7,4,1,6,5,8]=>0110110=>7
[4,2,7,3,1,6,5,8]=>0110110=>7
[5,2,7,3,1,6,4,8]=>0101110=>7
[6,2,7,3,1,5,4,8]=>0101110=>7
[7,2,6,3,1,5,4,8]=>0101110=>7
[1,5,2,4,8,6,3,7]=>0001101=>7
[8,4,1,3,7,5,2,6]=>0011011=>7
[6,2,1,5,3,7,4,8]=>1001110=>7
[3,2,1,6,4,7,5,8]=>1100110=>7
[3,2,8,5,1,6,4,7]=>0101101=>7
[6,2,8,4,1,5,3,7]=>0011101=>7
[8,3,7,4,1,5,2,6]=>0011011=>7
[7,1,3,2,5,6,4,8]=>0100110=>7
[6,3,5,2,4,8,1,7]=>0001101=>7
[1,5,2,8,7,4,3,6]=>0011011=>7
[5,7,2,8,1,4,3,6]=>0010011=>7
[5,8,2,7,1,4,3,6]=>0010011=>7
[4,8,3,1,5,2,7,6]=>0101011=>7
[7,1,5,3,2,6,8,4]=>0101011=>7
[3,1,5,7,8,6,2,4]=>0100101=>7
[8,7,6,5,3,2,1,4,9]=>11011110=>8
[8,7,6,4,3,2,1,5,9]=>11101110=>4
[8,7,5,4,3,2,1,6,9]=>11110110=>8
[8,7,6,5,4,1,2,3,9]=>00111110=>8
[9,8,7,6,5,4,2,1,3,10]=>101111110=>9
[8,7,6,5,2,3,1,4,9]=>01011110=>8
[9,8,7,6,5,3,2,1,4,10]=>110111110=>9
[8,7,6,3,4,2,1,5,9]=>10101110=>8
[9,8,7,6,4,3,2,1,5,10]=>111011110=>9
[8,7,4,5,3,2,1,6,9]=>11010110=>8
[9,8,7,5,4,3,2,1,6,10]=>111101110=>9
[8,5,6,4,3,2,1,7,9]=>11101010=>8
[9,8,6,5,4,3,2,1,7,10]=>111110110=>9
[6,7,5,4,3,2,1,8,9]=>11110100=>8
[8,6,2,3,1,5,7,4]=>0100111=>7
[2,5,1,7,4,8,6,3]=>0001111=>7
[8,6,7,3,5,2,1,4]=>1001011=>7
[1,4,2,7,3,6,8,5]=>0010011=>7
[3,2,1,7,8,5,4,6]=>1101001=>7
[7,3,4,2,1,5,8,6]=>1010011=>7
[1,7,6,3,2,4,8,5]=>0100111=>7
[2,1,6,4,7,8,5,3]=>1001101=>7
[1,6,3,2,4,7,8,5]=>0100101=>7
[1,2,3,7,5,8,4,6]=>0000011=>7
[1,8,5,3,2,4,7,6]=>0101011=>7
[4,7,8,1,5,6,2,3]=>0000101=>7
[3,6,7,1,8,4,2,5]=>0010011=>7
[1,3,7,6,2,4,5,8]=>0000110=>7
[2,7,3,8,4,5,6,1]=>0000111=>7
[7,1,4,3,8,5,6,2]=>0010111=>7
[5,6,2,7,8,3,4,1]=>0010101=>7
[7,4,1,8,5,6,2,3]=>0010111=>7
[7,2,5,8,1,6,3,4]=>0000111=>7
[6,4,8,1,5,7,2,3]=>0000111=>7
[2,7,4,1,3,6,8,5]=>0010011=>7
[5,2,1,8,4,6,7,3]=>1001011=>7
[6,2,1,4,7,5,8,3]=>1000111=>7
[6,8,7,9,5,4,3,2,1]=>11110011=>8
[5,8,7,6,9,4,3,2,1]=>11100111=>8
[4,8,7,6,5,9,3,2,1]=>11001111=>8
[3,8,7,6,5,4,9,2,1]=>10011111=>8
[2,8,7,6,5,4,3,9,1]=>00111111=>8
[1,2,8,4,6,3,5,7]=>0000101=>7
[2,6,1,5,4,7,3,8]=>0001110=>7
[1,2,8,5,4,6,3,7]=>0001101=>7
[1,3,6,8,4,5,7,2]=>0000011=>7
[1,2,8,4,6,3,7,5]=>0000111=>7
[4,6,3,5,7,8,1,2]=>0000101=>7
[2,7,6,5,1,4,8,3]=>0001111=>7
[2,7,4,8,1,3,6,5]=>0000111=>7
[2,3,6,8,4,1,7,5]=>0010011=>7
[1,2,6,8,4,7,5,3]=>0001011=>7
[1,7,2,8,6,3,5,4]=>0001111=>7
[2,3,8,5,4,7,1,6]=>0001011=>7
[1,2,8,4,7,3,5,6]=>0000011=>7
[2,6,1,4,8,3,7,5]=>0000111=>7
[3,7,6,5,2,1,4,8]=>1001110=>7
[2,5,6,1,4,8,7,3]=>0000111=>7
[8,4,2,3,7,1,6,5]=>0010111=>7
[5,2,4,8,7,3,1,6]=>0101011=>7
[8,3,2,6,7,4,1,5]=>0110011=>7
[3,2,4,6,7,8,1,5]=>0100001=>7
[5,2,6,8,1,3,7,4]=>0001011=>7
[4,8,1,6,3,7,5,2]=>0001111=>7
[7,1,5,2,6,4,3,8]=>0011110=>7
[8,3,5,2,6,1,4,7]=>0001101=>7
[1,8,5,6,2,7,4,3]=>0010111=>7
[8,3,2,4,6,7,1,5]=>0100011=>7
[4,2,7,6,1,8,5,3]=>0011111=>7
[7,2,4,8,6,3,5,1]=>0001111=>7
[7,3,2,1,8,5,4,6]=>1101011=>7
[7,3,2,1,6,4,8,5]=>1100111=>7
[3,6,5,2,1,8,4,7]=>1001101=>7
[6,7,2,4,3,5,8,1]=>0010011=>7
[4,5,3,7,2,1,6,8]=>1001010=>7
[4,3,8,2,1,5,7,6]=>1010011=>7
[4,3,2,8,1,6,7,5]=>0110011=>7
[4,5,8,3,2,7,1,6]=>0100011=>7
[6,8,5,2,7,3,4,1]=>0011011=>7
[5,4,7,8,2,3,6,1]=>0001101=>7
[4,3,8,2,1,6,7,5]=>1010011=>7
[1,9,2,4,5,6,7,8,3]=>00000011=>8
[9,1,3,4,5,6,7,8,2]=>00000011=>8
[3,5,7,4,6,2,8,1]=>0000111=>7
[5,3,7,6,2,4,8,1]=>0001111=>7
[4,6,7,2,5,3,8,1]=>0001011=>7
[6,4,7,8,3,1,5,2]=>0101101=>7
[8,4,7,3,1,5,6,2]=>0100111=>7
[5,8,1,7,6,4,2,3]=>0010111=>7
[5,6,7,1,8,3,4,2]=>0010011=>7
[7,1,8,6,2,5,4,3]=>0011111=>7
[8,5,1,7,6,4,2,3]=>0011111=>7
[1,5,8,2,6,4,7,3]=>0000111=>7
[1,5,7,4,6,8,3,2]=>0100011=>7
[1,4,7,5,6,8,3,2]=>0100011=>7
[5,6,7,4,8,1,3,2]=>0100011=>7
[8,1,2,6,4,5,7,3]=>0000111=>7
[4,8,1,7,2,5,6,3]=>0000111=>7
[2,6,7,1,5,4,8,3]=>0001011=>7
[3,2,7,6,5,8,1,4]=>0100111=>7
[1,7,3,4,5,8,2,6]=>0000011=>7
[7,1,8,4,5,6,3,2]=>0100111=>7
[10,1,3,4,5,6,7,8,9,2]=>000000011=>9
[1,2,3,4,5,6,7,8,11,9,10]=>0000000001=>10
[1,8,3,4,5,6,9,2,7]=>00000011=>8
[8,2,3,4,5,1,9,7,6]=>00010111=>8
[1,2,7,4,5,8,3,6]=>0000011=>7
[8,1,9,4,5,6,7,3,2]=>01000111=>8
[7,9,3,4,5,6,1,8,2]=>00001011=>8
[11,1,3,4,5,6,7,8,9,10,2]=>0000000011=>10
[10,2,3,4,5,6,7,8,11,1,9]=>0000000011=>10
[1,9,3,4,5,6,7,10,2,8]=>000000011=>9
[9,2,3,4,5,6,1,10,8,7]=>000010111=>9
[1,2,8,4,5,6,9,3,7]=>00000011=>8
[7,8,3,4,5,2,9,1,6]=>00010011=>8
[8,2,3,4,1,6,9,7,5]=>00100111=>8
[6,7,3,2,5,8,1,4]=>0100011=>7
[8,1,3,9,5,6,7,4,2]=>00100111=>8
[6,1,8,4,5,3,7,2]=>0001111=>7
[7,8,9,4,5,6,3,1,2]=>01001001=>8
[9,1,10,4,5,6,7,8,3,2]=>010000111=>9
[6,9,3,4,5,1,7,8,2]=>00010011=>8
[8,10,3,4,5,6,7,1,9,2]=>000001011=>9
[10,11,3,4,5,6,7,8,9,1,2]=>0000000101=>10
[4,6,2,5,1,8,7,3]=>0001111=>7
[5,1,4,6,2,8,7,3]=>0001111=>7
[7,3,5,2,1,6,8,4]=>1001011=>7
[8,5,1,2,6,3,7,4]=>0001111=>7
[1,5,8,7,4,6,3,2]=>0100111=>7
[5,7,2,1,3,6,8,4]=>1000011=>7
[3,7,2,6,8,1,5,4]=>0001011=>7
[7,4,8,6,5,1,3,2]=>0101111=>7
[2,7,6,8,5,1,4,3]=>0011011=>7
[1,6,4,5,7,3,8,2]=>0000111=>7
[1,5,4,7,8,6,2,3]=>0001101=>7
[7,3,1,6,8,2,5,4]=>0101011=>7
[7,1,6,8,5,2,4,3]=>0011011=>7
[3,5,8,7,6,4,1,2]=>0010111=>7
[1,5,7,8,6,2,4,3]=>0010101=>7
[3,6,2,1,4,7,8,5]=>1000101=>7
[6,8,2,7,5,4,3,1]=>0111011=>7
[5,8,1,7,6,4,3,2]=>0110111=>7
[10,6,1,2,3,4,9,5,7,8]=>000010011=>9
[10,7,1,2,3,4,9,5,6,8]=>000001011=>9
[9,10,1,2,3,4,8,5,6,7]=>000000101=>9
[10,1,5,2,3,4,6,7,8,9]=>000100001=>9
[10,1,2,5,3,4,6,7,8,9]=>000100001=>9
[5,1,2,3,10,4,6,7,8,9]=>000100001=>9
[7,1,2,3,4,5,11,6,8,9,10]=>0000010001=>10
[7,6,1,2,3,4,10,9,5,8]=>000011011=>9
[11,1,2,3,4,5,8,6,7,9,10]=>0000001001=>10
[9,7,1,2,3,4,8,5,10,6]=>000001111=>9
[11,1,2,3,4,5,9,6,7,8,10]=>0000000101=>10
[5,9,1,2,3,4,6,7,10,8]=>000000011=>9
[10,8,4,9,1,2,3,5,6,7]=>000000111=>9
[11,10,5,1,2,3,4,6,7,8,9]=>0001000011=>10
[2,10,1,5,3,4,6,7,8,9]=>000100001=>9
[11,10,1,5,2,3,4,6,7,8,9]=>0001000011=>10
[3,1,5,2,10,4,6,7,8,9]=>010100001=>9
[5,11,1,2,10,3,4,6,7,8,9]=>0000000011=>10
[4,1,2,10,3,5,6,7,8,9]=>001000001=>9
[5,11,1,2,3,10,4,6,7,8,9]=>0000000011=>10
[4,1,5,6,7,8,9,2,3]=>00100001=>8
[2,3,4,5,6,7,8,10,11,1,9]=>0000000001=>10
[2,3,4,5,8,9,1,6,7]=>00000001=>8
[2,3,6,7,1,8,9,4,5]=>00000101=>8
[2,4,5,6,7,8,9,10,11,1,3]=>0000000001=>10
[3,4,5,6,7,8,9,10,11,1,2]=>0000000001=>10
[8,6,3,2,1,5,4,7]=>1101101=>7
[8,5,3,2,4,1,7,6]=>0111011=>7
[7,5,2,4,3,6,8,1]=>0011011=>7
[8,5,1,4,6,3,2,7]=>0101101=>7
[8,5,1,6,3,4,2,7]=>0011101=>7
[8,4,3,6,1,5,2,7]=>0011101=>7
[8,4,3,5,2,1,7,6]=>1011011=>7
[6,4,3,2,8,7,1,5]=>0110111=>7
[8,5,1,4,3,7,2,6]=>0011011=>7
[8,5,4,2,1,3,7,6]=>1011011=>7
[4,7,3,6,1,8,5,2]=>0001111=>7
[7,6,2,4,1,5,8,3]=>0010111=>7
[8,1,6,3,7,4,2,5]=>0010111=>7
[5,3,8,2,6,7,1,4]=>0001011=>7
[8,2,5,1,7,6,3,4]=>0001111=>7
[8,2,4,6,3,7,1,5]=>0000111=>7
[7,2,6,4,3,5,8,1]=>0010111=>7
[7,3,6,2,4,5,8,1]=>0000111=>7
[8,3,7,2,1,4,6,5]=>1000111=>7
[7,6,4,1,3,2,8,5]=>0110111=>7
[7,3,8,2,1,5,6,4]=>1000111=>7
[6,2,5,7,4,3,8,1]=>0010111=>7
[6,2,5,4,8,7,1,3]=>0001111=>7
[7,2,4,8,5,1,6,3]=>0001111=>7
[4,2,7,6,8,5,1,3]=>0011011=>7
[7,1,6,2,8,5,4,3]=>0011111=>7
[7,1,6,3,8,5,2,4]=>0001111=>7
[7,2,6,8,1,3,5,4]=>0001011=>7
[7,2,8,5,1,3,6,4]=>0001111=>7
[7,1,8,5,3,2,6,4]=>0101111=>7
[7,1,8,2,5,6,4,3]=>0010111=>7
[6,1,5,8,7,2,4,3]=>0010111=>7
[6,1,5,7,4,8,3,2]=>0100111=>7
[6,1,5,7,8,3,4,2]=>0010101=>7
[4,6,7,3,1,8,5,2]=>0101011=>7
[4,2,6,3,1,8,7,5]=>0110111=>7
[6,1,4,2,5,8,7,3]=>0010111=>7
[1,5,3,8,4,6,2,7]=>0001101=>7
[7,2,3,5,8,4,1,6]=>0010011=>7
[7,6,4,2,8,5,1,3]=>0011111=>7
[1,7,6,4,8,5,3,2]=>0101111=>7
[8,7,4,2,1,5,6,3]=>1010111=>7
[8,2,3,5,1,4,6,7]=>0001001=>7
[8,7,4,1,3,2,6,5]=>0110111=>7
[7,1,4,8,3,6,2,5]=>0000111=>7
[4,1,8,5,7,6,2,3]=>0010111=>7
[3,7,5,8,4,2,1,6]=>1010011=>7
[6,1,5,8,3,4,2,7]=>0010101=>7
[6,7,5,1,3,2,4,8]=>0101010=>7
[5,2,6,1,7,3,4,8]=>0001110=>7
[4,2,6,8,3,7,1,5]=>0010011=>7
[6,8,5,1,4,2,3,7]=>0011001=>7
[7,8,4,5,1,3,6,2]=>0001101=>7
[1,7,8,5,3,4,6,2]=>0001101=>7
[1,5,8,3,6,4,7,2]=>0000111=>7
[6,3,8,1,4,2,7,5]=>0010111=>7
[4,8,1,5,6,3,7,2]=>0000111=>7
[1,8,2,6,5,3,7,4]=>0001111=>7
[3,8,1,7,2,6,5,4]=>0001111=>7
[7,3,8,1,2,6,5,4]=>0001111=>7
[8,1,4,2,3,5,7,6]=>0010011=>7
[8,1,2,4,6,5,7,3]=>0000111=>7
[5,1,8,3,7,4,6,2]=>0001111=>7
[8,3,7,1,5,4,6,2]=>0001111=>7
[8,4,7,1,5,3,6,2]=>0001111=>7
[7,2,5,3,4,6,1,8]=>0001110=>7
[7,6,4,2,5,3,1,8]=>0111110=>7
[5,8,4,3,6,2,7,1]=>0010111=>7
[1,7,2,6,3,4,8,5]=>0000111=>7
[7,5,1,6,3,2,4,8]=>0101110=>7
[7,1,2,6,3,4,5,8]=>0000110=>7
[7,2,5,1,6,3,4,8]=>0001110=>7
[7,3,1,4,6,2,5,8]=>0100110=>7
[7,1,6,5,4,2,3,8]=>0011110=>7
[5,8,4,3,1,7,2,6]=>0110011=>7
[3,6,8,5,2,4,7,1]=>0001011=>7
[5,7,8,4,3,2,6,1]=>0110101=>7
[1,3,8,4,7,2,6,5]=>0000111=>7
[3,2,1,4,5,8,6,7]=>1100001=>7
[6,7,1,3,2,8,5,4]=>0101011=>7
[1,5,3,2,6,8,4,7]=>0101001=>7
[5,4,3,1,7,2,8,6]=>0111011=>7
[3,7,6,5,8,2,4,1]=>0010111=>7
[5,7,4,2,8,6,1,3]=>0010111=>7
[5,4,3,7,8,2,6,1]=>0011101=>7
[3,8,5,7,6,2,4,1]=>0010111=>7
[1,3,6,8,7,2,5,4]=>0001011=>7
[5,8,7,1,4,2,3,6]=>0010011=>7
[2,6,3,7,1,4,5,8]=>0000110=>7
[6,5,1,2,4,7,8,3]=>0001101=>7
[7,6,8,4,3,1,5,2]=>0111011=>7
[1,7,6,5,3,2,4,8]=>0101110=>7
[2,7,6,5,4,1,3,8]=>0011110=>7
[6,2,3,5,8,4,1,7]=>0010101=>7
[4,7,6,1,5,8,3,2]=>0100111=>7
[9,8,7,6,5,4,2,3,1]=>01111111=>8
[2,3,9,8,7,6,5,4,1]=>00111111=>8
[9,1,3,2,4,5,6,7,8]=>01000001=>8
[6,8,7,1,5,4,3,2]=>0111011=>7
[8,7,4,6,5,1,3,2]=>0101111=>7
[9,8,7,1,6,5,4,3,2]=>01111111=>8
[9,8,7,6,1,5,4,3,2]=>01111111=>8
[9,8,7,6,5,1,4,3,2]=>01111111=>8
[9,10,1,8,7,6,5,4,3,2]=>011111101=>9
[10,9,1,8,7,6,5,4,3,2]=>011111111=>9
[10,9,8,1,7,6,5,4,3,2]=>011111111=>9
[10,9,8,7,1,6,5,4,3,2]=>011111111=>9
[10,9,8,7,6,1,5,4,3,2]=>011111111=>9
[10,9,8,7,6,5,1,4,3,2]=>011111111=>9
[10,9,8,7,6,5,4,1,3,2]=>011111111=>9
[3,5,2,4,7,6,9,8,1]=>00010111=>8
[2,4,3,6,5,8,7,1,9]=>00101110=>8
[3,2,5,4,7,6,9,8,1,10]=>010101110=>9
[2,4,3,6,5,8,7,10,9,1]=>001010111=>9
[7,2,6,1,5,8,3,4]=>0000111=>7
[4,7,3,8,6,2,5,1]=>0001111=>7
[4,7,3,6,8,2,1,5]=>1000011=>7
[5,4,7,3,8,2,1,6]=>1001011=>7
[8,7,2,4,6,3,5,1]=>0001111=>7
[4,3,5,7,2,6,1,8]=>0010110=>7
[1,7,2,8,5,4,3,6]=>0011011=>7
[5,4,8,3,6,2,1,7]=>1001101=>7
[6,8,2,5,7,1,4,3]=>0010011=>7
[3,8,6,2,7,5,1,4]=>0001111=>7
[5,8,4,2,7,3,6,1]=>0010111=>7
[8,2,7,3,4,5,1,6]=>0001011=>7
[8,1,5,2,4,6,3,7]=>0001101=>7
[8,6,1,3,4,5,7,2]=>0000111=>7
[8,5,1,2,4,6,7,3]=>0001011=>7
[2,6,8,7,3,4,5,1]=>0001011=>7
[1,7,8,5,6,4,2,3]=>0010101=>7
[8,3,1,2,4,6,7,5]=>0100011=>7
[3,1,7,5,8,2,4,6]=>0100011=>7
[8,1,3,2,4,6,5,7]=>0100101=>7
[8,1,5,6,4,2,3,7]=>0010101=>7
[8,1,6,5,4,3,2,7]=>0111101=>7
[2,6,8,1,5,4,3,7]=>0011001=>7
[5,2,1,7,6,3,8,4]=>1001111=>7
[3,5,8,2,1,4,7,6]=>1000011=>7
[4,2,8,5,3,7,6,1]=>0011111=>7
[4,2,7,5,3,8,6,1]=>0011111=>7
[6,4,5,1,8,3,2,7]=>0101101=>7
[5,4,7,8,3,1,2,6]=>0101001=>7
[4,5,8,1,3,7,2,6]=>0000011=>7
[1,5,3,6,8,7,2,4]=>0001011=>7
[7,6,2,8,1,4,3,5]=>0010111=>7
[4,7,2,6,8,3,5,1]=>0001011=>7
[6,3,2,8,7,4,5,1]=>0101111=>7
[7,4,3,8,5,6,2,1]=>1010111=>7
[3,1,5,8,7,6,2,4]=>0100111=>7
[8,2,1,6,5,7,3,4]=>1000111=>7
[3,1,8,6,5,7,2,4]=>0100111=>7
[1,2,7,6,4,5,8,3]=>0000111=>7
[7,2,6,5,1,8,3,4]=>0001111=>7
[4,2,8,5,6,3,1,7]=>0110101=>7
[4,7,3,2,5,1,6,8]=>0101010=>7
[4,2,5,3,8,7,1,6]=>0011011=>7
[7,2,5,3,8,4,6,1]=>0001111=>7
[3,6,8,1,7,4,5,2]=>0001011=>7
[8,7,3,2,5,4,6,1]=>0101111=>7
[7,5,6,1,8,3,2,4]=>0100111=>7
[4,5,6,2,7,3,1,8]=>0100110=>7
[5,3,4,7,1,6,2,8]=>0001110=>7
[3,5,1,4,6,8,2,7]=>0001001=>7
[8,5,7,4,2,1,3,6]=>1010011=>7
[2,3,7,4,1,8,6,5]=>0010111=>7
[2,4,5,1,8,6,3,7]=>0001101=>7
[2,4,1,6,7,5,3,8]=>0011010=>7
[6,3,7,1,5,2,4,8]=>0001110=>7
[4,1,3,7,8,2,6,5]=>0010101=>7
[7,1,4,8,6,5,2,3]=>0001111=>7
[8,3,4,2,1,7,5,6]=>1010011=>7
[1,4,5,3,8,6,7,2]=>0001011=>7
[4,6,2,7,5,8,1,3]=>0000111=>7
[7,3,2,5,1,8,4,6]=>0101011=>7
[7,8,1,4,2,3,5,6]=>0010001=>7
[6,5,2,4,8,7,1,3]=>0001111=>7
[8,5,2,4,1,3,7,6]=>0011011=>7
[5,1,2,4,3,6,8,7]=>0011001=>7
[5,2,1,4,3,7,6,8]=>1011010=>7
[8,6,2,7,5,3,1,4]=>0101111=>7
[6,2,1,5,8,3,4,7]=>1000101=>7
[2,3,8,7,1,5,4,6]=>0001011=>7
[4,3,8,1,5,2,6,7]=>0011001=>7
[4,1,3,6,7,2,8,5]=>0010011=>7
[7,1,4,5,8,2,6,3]=>0000111=>7
[6,1,3,2,4,5,8,7]=>0100101=>7
[3,5,1,2,4,7,6,9,8]=>00010101=>8
[7,8,1,6,5,2,4,3]=>0011101=>7
[7,4,8,6,5,1,2,3]=>0001111=>7
[3,7,8,6,5,1,2,4]=>0001101=>7
[8,4,5,7,2,6,3,1]=>0100111=>7
[4,5,8,2,7,3,1,6]=>0100011=>7
[6,5,8,2,7,3,1,4]=>0100111=>7
[6,4,8,2,7,3,1,5]=>0100111=>7
[7,8,1,3,6,4,2,5]=>0010101=>7
[4,3,8,2,7,5,1,6]=>0011011=>7
[4,5,7,8,3,2,1,6]=>1100001=>7
[5,7,3,4,2,6,8,1]=>0010011=>7
[5,7,4,2,3,6,8,1]=>0010011=>7
[5,4,7,3,2,8,1,6]=>0101011=>7
[6,8,3,2,4,5,1,7]=>0101001=>7
[5,8,3,4,6,1,2,7]=>0000101=>7
[6,4,3,8,5,1,2,7]=>0011101=>7
[6,4,8,2,3,5,1,7]=>0001101=>7
[5,4,6,8,2,3,1,7]=>0101001=>7
[5,6,8,4,1,2,3,7]=>0010001=>7
[6,4,8,5,1,2,3,7]=>0001101=>7
[7,4,8,3,1,2,5,6]=>0100011=>7
[5,7,8,2,3,1,4,6]=>0100001=>7
[5,4,7,8,2,1,3,6]=>1001001=>7
[5,8,6,3,1,2,4,7]=>0100101=>7
[6,8,5,2,1,3,4,7]=>1001001=>7
[5,6,1,3,2,4,8,7]=>0100101=>7
[8,1,5,4,6,2,7,3]=>0001111=>7
[4,3,8,1,2,5,7,6]=>0010011=>7
[4,6,3,2,8,5,7,1]=>0100111=>7
[5,3,7,2,1,8,6,4]=>1001111=>7
[7,4,3,2,5,1,8,6]=>0111011=>7
[3,6,8,5,2,1,7,4]=>1001011=>7
[6,1,5,4,7,2,8,3]=>0001111=>7
[1,3,6,5,8,2,7,4]=>0000111=>7
[5,4,8,3,2,7,1,6]=>0101011=>7
[5,4,3,7,2,1,6,8]=>1011010=>7
[5,4,3,7,8,2,1,6]=>1011001=>7
[3,4,5,6,7,8,2,9,1]=>00000011=>8
[3,4,5,6,7,8,9,2,10,1]=>000000011=>9
[1,4,5,6,7,8,3,9,2]=>00000011=>8
[3,4,5,6,7,2,1,9,8]=>10000101=>8
[2,1,5,6,7,8,9,4,3]=>10100001=>8
[2,4,5,6,7,8,3,1,9]=>01000010=>8
[2,4,5,6,7,8,9,10,3,1]=>010000001=>9
[1,4,8,6,3,2,7,5]=>0100111=>7
[4,1,8,6,2,5,7,3]=>0010111=>7
[6,7,2,5,3,8,4,1]=>0011011=>7
[6,3,4,8,1,2,7,5]=>0000111=>7
[6,2,8,1,7,4,5,3]=>0001111=>7
[2,6,3,1,5,8,7,4]=>0100111=>7
[7,1,3,2,6,5,8,4]=>0100111=>7
[8,7,6,4,5,3,2,9,1]=>01011111=>8
[2,9,8,7,5,6,4,3,1]=>01101111=>8
[6,1,3,5,8,7,4,2]=>0010111=>7
[3,5,8,7,4,6,2,1]=>1000111=>7
[6,8,5,7,3,4,2,1]=>1010011=>7
[5,3,6,8,4,2,1,7]=>1011001=>7
[5,1,6,8,4,7,3,2]=>0101011=>7
[6,2,8,3,4,1,5,7]=>0010101=>7
[2,4,1,8,7,6,3,5]=>0010111=>7
[1,3,5,8,4,7,2,6]=>0000011=>7
[2,3,8,7,5,1,6,4]=>0001111=>7
[8,5,4,7,6,1,3,2]=>0101111=>7
[5,8,7,2,4,1,3,6]=>0010011=>7
[4,1,3,5,6,2,8,7]=>0010101=>7
[6,3,8,5,1,7,4,2]=>0011111=>7
[8,2,4,6,1,3,7,5]=>0000111=>7
[6,4,8,7,3,5,2,1]=>1001111=>7
[8,2,3,5,6,1,4,7]=>0000101=>7
[4,3,5,6,8,2,7,1]=>0010011=>7
[8,2,3,4,6,1,7,5]=>0000111=>7
[1,7,4,3,5,2,8,6]=>0011011=>7
[2,7,4,3,8,1,5,6]=>0010011=>7
[3,8,2,7,6,4,1,5]=>0010111=>7
[5,3,6,2,1,8,4,7]=>1001101=>7
[4,3,8,6,2,7,1,5]=>0010111=>7
[8,2,1,4,6,3,7,5]=>1000111=>7
[3,1,6,8,2,7,5,4]=>0101011=>7
[5,3,8,6,7,2,1,4]=>1001011=>7
[5,8,7,2,4,6,1,3]=>0000111=>7
[1,5,2,8,7,6,4,3]=>0011111=>7
[2,7,1,4,6,5,3,8]=>0001110=>7
[4,7,1,2,6,5,8,3]=>0000111=>7
[4,2,5,6,8,7,3,1]=>0110011=>7
[6,5,8,3,7,4,2,1]=>1010111=>7
[8,2,5,1,6,3,7,4]=>0001111=>7
[8,3,4,5,1,6,7,2]=>0001011=>7
[7,8,1,5,6,3,2,4]=>0100101=>7
[1,7,8,3,2,5,4,6]=>0101001=>7
[7,8,1,3,2,5,6,4]=>0100101=>7
[7,8,1,3,5,4,6,2]=>0001101=>7
[7,8,1,3,5,2,4,6]=>0001001=>7
[1,3,7,8,5,2,4,6]=>0001001=>7
[1,7,8,3,5,2,6,4]=>0001101=>7
[1,7,8,3,2,5,6,4]=>0100101=>7
[3,7,8,5,4,6,1,2]=>0001101=>7
[3,5,7,6,4,8,1,2]=>0000111=>7
[1,3,7,8,5,4,6,2]=>0001101=>7
[1,3,7,8,5,4,2,6]=>0011001=>7
[1,3,7,8,2,5,4,6]=>0001001=>7
[1,3,2,7,8,5,4,6]=>0101001=>7
[1,5,7,6,8,3,2,4]=>0100011=>7
[3,5,4,7,8,6,1,2]=>0001101=>7
[3,5,7,6,8,4,1,2]=>0010011=>7
[1,5,7,6,8,3,4,2]=>0010011=>7
[3,5,7,4,6,8,1,2]=>0000011=>7
[6,5,8,4,3,7,1,2]=>0010111=>7
[6,7,3,1,5,2,4,8]=>0101010=>7
[5,2,4,1,8,3,6,7]=>0011001=>7
[2,1,7,4,3,8,5,6]=>1010011=>7
[7,2,3,8,5,4,1,6]=>0011011=>7
[4,1,5,7,6,3,8,2]=>0010111=>7
[3,2,5,4,7,6,1,10,8,9]=>010111001=>9
[3,2,5,4,9,8,6,7,1,10]=>010101110=>9
[3,2,5,4,1,8,6,10,7,9]=>011100101=>9
[3,2,5,4,1,10,9,6,7,8]=>011100011=>9
[3,2,7,6,4,5,9,8,1,10]=>010011110=>9
[3,2,7,6,4,5,1,10,8,9]=>010111001=>9
[3,2,9,6,4,8,5,7,1,10]=>010011110=>9
[3,2,1,6,4,8,5,10,7,9]=>110010101=>9
[3,2,1,6,4,10,9,5,7,8]=>110010011=>9
[3,2,9,8,7,4,5,6,1,10]=>010011110=>9
[3,2,1,8,7,4,5,10,6,9]=>110001101=>9
[3,2,1,10,7,4,9,5,6,8]=>110001011=>9
[3,2,1,10,9,8,4,5,6,7]=>110000111=>9
[5,4,2,3,7,6,9,8,1,10]=>001101110=>9
[5,4,2,3,7,6,1,10,8,9]=>001111001=>9
[5,4,2,3,9,8,6,7,1,10]=>001101110=>9
[5,4,2,3,1,8,6,10,7,9]=>011100101=>9
[5,4,2,3,1,10,9,6,7,8]=>011100011=>9
[7,4,2,6,3,5,9,8,1,10]=>001011110=>9
[7,4,2,6,3,5,1,10,8,9]=>001111001=>9
[9,4,2,6,3,8,5,7,1,10]=>001011110=>9
[1,4,2,6,3,8,5,10,7,9]=>001010101=>9
[1,4,2,6,3,10,9,5,7,8]=>001010011=>9
[9,4,2,8,7,3,5,6,1,10]=>001011110=>9
[1,4,2,8,7,3,5,10,6,9]=>001001101=>9
[1,4,2,10,7,3,9,5,6,8]=>001001011=>9
[1,4,2,10,9,8,3,5,6,7]=>001000111=>9
[7,6,5,2,3,4,9,8,1,10]=>000111110=>9
[7,6,5,2,3,4,1,10,8,9]=>001111001=>9
[9,6,5,2,3,8,4,7,1,10]=>000111110=>9
[1,6,5,2,3,8,4,10,7,9]=>000110101=>9
[1,6,5,2,3,10,9,4,7,8]=>000110011=>9
[9,8,5,2,7,3,4,6,1,10]=>000111110=>9
[1,8,5,2,7,3,4,10,6,9]=>000101101=>9
[1,10,5,2,7,3,9,4,6,8]=>000101011=>9
[1,10,5,2,9,8,3,4,6,7]=>000100111=>9
[9,8,7,6,2,3,4,5,1,10]=>000111110=>9
[1,8,7,6,2,3,4,10,5,9]=>000011101=>9
[1,10,7,6,2,3,9,4,5,8]=>000011011=>9
[1,10,9,6,2,8,3,4,5,7]=>000010111=>9
[1,10,9,8,7,2,3,4,5,6]=>000001111=>9
[1,4,8,2,3,6,5,7]=>0000101=>7
[1,4,6,7,3,5,2,8]=>0001010=>7
[1,4,8,2,6,7,5,3]=>0001011=>7
[1,7,3,2,4,5,6,8]=>0100010=>7
[1,7,3,2,4,5,8,6]=>0100011=>7
[1,6,4,3,2,5,7,8]=>0110100=>7
[4,2,6,5,3,1,7,8]=>0111100=>7
[5,2,1,6,8,7,4,3]=>1011011=>7
[1,3,5,8,6,2,7,4]=>0000111=>7
[2,3,8,4,1,7,6,5]=>0010111=>7
[3,7,8,5,4,2,6,1]=>0011101=>7
[8,3,2,7,5,6,1,4]=>0100111=>7
[1,3,8,5,7,4,2,6]=>0010011=>7
[1,2,3,7,5,4,6,8]=>0001010=>7
[1,4,2,8,6,3,5,7]=>0010101=>7
[2,8,6,3,5,7,4,1]=>0010111=>7
[6,1,8,2,5,3,4,7]=>0001101=>7
[3,8,6,4,2,7,1,5]=>0010111=>7
[1,5,4,2,3,6,8,7]=>0011001=>7
[6,1,5,2,3,4,8,7]=>0001101=>7
[6,5,2,1,7,3,4,8]=>1001110=>7
[3,1,2,4,8,6,7,5]=>0100011=>7
[3,1,2,5,8,7,4,6]=>0100011=>7
[6,5,2,1,8,4,7,3]=>1001111=>7
[5,6,2,4,3,8,1,7]=>0010101=>7
[3,7,5,2,8,1,4,6]=>0001011=>7
[5,1,4,7,3,2,8,6]=>0101011=>7
[4,1,5,8,6,2,3,7]=>0010101=>7
[5,4,8,6,3,7,1,2]=>0001111=>7
[6,5,2,3,1,8,7,4]=>0101111=>7
[6,4,7,5,3,8,1,2]=>0001111=>7
[5,7,4,8,3,1,6,2]=>0100111=>7
[3,1,4,7,5,2,8,6]=>0101011=>7
[4,3,5,1,8,7,2,6]=>0011011=>7
[2,5,3,6,1,8,4,7]=>0001101=>7
[2,5,6,8,3,1,7,4]=>0100011=>7
[7,1,4,5,3,6,2,8]=>0001110=>7
[1,7,2,4,5,3,6,8]=>0001010=>7
[1,7,4,5,3,2,6,8]=>0101010=>7
[1,6,4,7,3,5,2,8]=>0001110=>7
[3,5,6,4,8,2,1,7]=>1000101=>7
[1,6,4,7,5,2,3,8]=>0001110=>7
[1,5,2,6,7,4,3,8]=>0011010=>7
[8,5,6,1,4,3,7,2]=>0010111=>7
[2,5,4,7,8,3,1,6]=>0101001=>7
[6,4,5,8,2,3,1,7]=>0100101=>7
[8,6,1,3,2,5,7,4]=>0100111=>7
[7,5,8,1,4,6,3,2]=>0100111=>7
[4,2,6,7,8,1,5,3]=>0011001=>7
[3,4,6,7,8,1,5,2]=>0001001=>7
[4,7,3,8,5,1,6,2]=>0001111=>7
[4,3,2,7,5,8,1,6]=>0110011=>7
[4,8,5,3,2,6,1,7]=>0101101=>7
[2,8,4,5,3,6,1,7]=>0001101=>7
[8,1,5,3,2,4,7,6]=>0101011=>7
[7,8,4,1,3,6,5,2]=>0011101=>7
[8,6,1,3,2,7,4,5]=>0100111=>7
[7,3,8,2,4,1,6,5]=>0010111=>7
[6,2,3,7,8,1,5,4]=>0001101=>7
[6,3,7,8,1,5,4,2]=>0011101=>7
[2,6,3,7,8,1,5,4]=>0001101=>7
[7,5,8,1,6,4,2,3]=>0010111=>7
[8,1,4,3,7,5,6,2]=>0010111=>7
[1,4,8,5,3,2,6,7]=>0101001=>7
[8,2,7,6,4,1,5,3]=>0011111=>7
[2,7,4,3,8,5,1,6]=>0011011=>7
[6,8,2,7,3,1,5,4]=>0101011=>7
[8,2,6,3,4,1,7,5]=>0010111=>7
[6,1,2,8,5,3,7,4]=>0001111=>7
[4,1,5,8,3,6,7,2]=>0010011=>7
[7,5,2,8,1,6,3,4]=>0001111=>7
[4,8,5,7,1,3,2,6]=>0100011=>7
[3,4,7,2,1,5,8,6]=>1000011=>7
[4,8,2,7,1,3,6,5]=>0000111=>7
[5,2,1,8,7,4,6,3]=>1001111=>7
[8,2,1,7,4,6,3,5]=>1000111=>7
[4,2,5,8,3,6,7,1]=>0010011=>7
[5,1,6,8,3,2,7,4]=>0101011=>7
[4,1,5,6,8,2,7,3]=>0010011=>7
[5,7,8,2,4,1,3,6]=>0010001=>7
[4,5,2,8,7,3,1,6]=>0101011=>7
[4,8,5,3,1,6,7,2]=>0101011=>7
[6,2,3,1,7,8,5,4]=>0101101=>7
[5,2,3,6,8,4,7,1]=>0001011=>7
[6,2,1,7,8,4,3,5]=>1010101=>7
[5,2,1,3,8,4,7,6]=>1001011=>7
[5,2,7,8,4,1,6,3]=>0011101=>7
[6,2,7,8,3,5,4,1]=>0011101=>7
[5,2,8,6,4,1,7,3]=>0011111=>7
[5,1,2,8,4,3,7,6]=>0011011=>7
[6,7,8,3,2,5,4,1]=>0111001=>7
[5,7,2,6,4,8,1,3]=>0000111=>7
[6,2,3,4,7,8,5,1]=>0001101=>7
[7,2,1,8,4,3,5,6]=>1010011=>7
[6,2,1,3,7,5,8,4]=>1000111=>7
[6,8,7,3,4,5,1,2]=>0001011=>7
[6,2,3,7,8,1,4,5]=>0000101=>7
[7,4,3,2,5,8,1,6]=>0110011=>7
[7,2,4,3,5,8,1,6]=>0010011=>7
[1,7,6,4,2,3,5,8]=>0010110=>7
[1,3,2,5,8,6,4,7]=>0100101=>7
[6,1,4,7,2,8,5,3]=>0001111=>7
[1,7,5,8,4,2,3,6]=>0010011=>7
[1,6,7,2,4,8,5,3]=>0001011=>7
[5,7,2,4,3,6,8,1]=>0010011=>7
[5,7,3,4,6,2,8,1]=>0000111=>7
[2,8,3,6,1,7,4,5]=>0000111=>7
[4,3,1,8,5,2,6,7]=>0111001=>7
[1,8,4,5,6,2,7,3]=>0000111=>7
[7,3,8,2,1,4,5,6]=>1000011=>7
[8,2,5,3,1,7,4,6]=>0101011=>7
[6,3,5,8,1,7,4,2]=>0010111=>7
[3,5,4,8,6,1,7,2]=>0001111=>7
[7,5,2,3,8,4,6,1]=>0001111=>7
[2,7,5,1,4,8,3,6]=>0001011=>7
[5,7,6,1,2,8,3,4]=>0000111=>7
[7,4,6,5,1,8,2,3]=>0001111=>7
[7,1,3,2,6,8,4,5]=>0100011=>7
[4,3,5,2,8,1,6,7]=>0011001=>7
[1,7,3,8,2,4,6,5]=>0000111=>7
[2,7,4,8,5,3,1,6]=>0101011=>7
[6,1,3,8,4,2,7,5]=>0010111=>7
[5,4,1,8,6,2,7,3]=>0011111=>7
[5,4,6,8,1,3,2,7]=>0101001=>7
[3,6,1,5,8,4,7,2]=>0000111=>7
[6,4,8,3,5,7,2,1]=>1000111=>7
[3,5,8,2,4,1,7,6]=>0010011=>7
[7,2,8,4,1,3,6,5]=>0010111=>7
[5,8,1,2,4,3,6,7]=>0010001=>7
[8,4,3,5,7,2,6,1]=>0010111=>7
[4,1,5,2,3,8,7,6]=>0011011=>7
[6,3,5,8,2,4,7,1]=>0000111=>7
[2,8,7,1,4,6,3,5]=>0000111=>7
[1,8,5,3,7,4,2,6]=>0011011=>7
[7,5,6,2,8,4,3,1]=>0110111=>7
[5,7,6,2,8,1,4,3]=>0010111=>7
[6,3,8,1,2,5,4,7]=>0001101=>7
[7,6,4,8,5,3,2,1]=>1101111=>7
[7,6,5,3,8,4,2,1]=>1011111=>7
[7,6,5,4,2,8,3,1]=>0111111=>7
[8,6,9,7,5,4,3,2,1]=>11110111=>8
[7,5,4,8,6,3,2,1]=>1101111=>7
[8,7,5,9,6,4,3,2,1]=>11101111=>8
[8,7,6,4,9,5,3,2,1]=>11011111=>8
[7,6,5,3,2,8,4,1]=>0111111=>7
[8,7,6,5,3,9,4,2,1]=>10111111=>8
[8,7,6,5,4,2,9,3,1]=>01111111=>8
[3,2,5,4,7,6,1,10,9,8]=>010111011=>9
[3,2,5,4,9,8,7,6,1,10]=>010111110=>9
[3,2,5,4,1,8,7,10,9,6]=>011100111=>9
[3,2,5,4,1,10,9,8,7,6]=>011101111=>9
[3,2,7,6,5,4,9,8,1,10]=>010111110=>9
[3,2,7,6,5,4,1,10,9,8]=>011111011=>9
[3,2,9,6,5,8,7,4,1,10]=>011011110=>9
[3,2,1,6,5,8,7,10,9,4]=>110010111=>9
[3,2,1,6,5,10,9,8,7,4]=>110011111=>9
[3,2,1,8,7,6,5,10,9,4]=>110011111=>9
[3,2,1,10,7,6,9,8,5,4]=>110101111=>9
[5,4,3,2,7,6,9,8,1,10]=>011101110=>9
[5,4,3,2,7,6,1,10,9,8]=>011111011=>9
[5,4,3,2,9,8,7,6,1,10]=>011111110=>9
[5,4,3,2,1,8,7,10,9,6]=>111100111=>9
[7,4,3,6,5,2,9,8,1,10]=>001111110=>9
[7,4,3,6,5,2,1,10,9,8]=>101111011=>9
[9,4,3,6,5,8,7,2,1,10]=>101011110=>9
[1,4,3,6,5,8,7,10,9,2]=>001010111=>9
[1,4,3,6,5,10,9,8,7,2]=>001011111=>9
[9,4,3,8,7,6,5,2,1,10]=>101111110=>9
[1,4,3,8,7,6,5,10,9,2]=>001011111=>9
[1,4,3,10,7,6,9,8,5,2]=>001101111=>9
[1,4,3,10,9,8,7,6,5,2]=>001111111=>9
[7,6,5,4,3,2,9,8,1,10]=>011111110=>9
[9,6,5,4,3,8,7,2,1,10]=>101111110=>9
[1,6,5,4,3,8,7,10,9,2]=>001110111=>9
[1,6,5,4,3,10,9,8,7,2]=>001111111=>9
[9,8,5,4,7,6,3,2,1,10]=>110111110=>9
[1,8,5,4,7,6,3,10,9,2]=>000111111=>9
[1,10,5,4,7,6,9,8,3,2]=>010101111=>9
[1,10,5,4,9,8,7,6,3,2]=>010111111=>9
[1,10,7,6,5,4,9,8,3,2]=>010111111=>9
[1,10,9,6,5,8,7,4,3,2]=>011011111=>9
[1,5,7,2,4,3,6,8]=>0010010=>7
[1,6,5,3,2,4,7,8]=>0101100=>7
[1,7,2,4,6,5,3,8]=>0001110=>7
[1,4,7,2,6,5,3,8]=>0001110=>7
[1,2,6,8,7,4,3,5]=>0010011=>7
[1,2,7,4,3,5,8,6]=>0010011=>7
[1,6,2,8,7,4,3,5]=>0010111=>7
[1,7,4,2,3,5,8,6]=>0010011=>7
[1,8,5,2,3,6,4,7]=>0001101=>7
[1,7,4,8,5,2,3,6]=>0001011=>7
[1,4,7,5,2,8,6,3]=>0001111=>7
[1,6,3,7,4,2,8,5]=>0010111=>7
[1,8,5,2,7,4,3,6]=>0011011=>7
[1,4,8,7,5,3,2,6]=>0101011=>7
[1,2,5,8,6,3,7,4]=>0000111=>7
[1,2,4,7,5,8,6,3]=>0000111=>7
[1,5,8,7,6,2,4,3]=>0010111=>7
[1,3,5,8,7,6,2,4]=>0000111=>7
[1,5,2,4,3,6,8,7]=>0011001=>7
[1,6,8,7,5,3,2,4]=>0101011=>7
[1,2,5,7,4,3,8,6]=>0010011=>7
[1,5,3,2,6,8,7,4]=>0101011=>7
[1,4,2,6,8,7,5,3]=>0011011=>7
[1,5,8,6,3,2,7,4]=>0100111=>7
[1,8,5,2,6,3,4,7]=>0001101=>7
[1,7,4,6,3,2,8,5]=>0100111=>7
[1,6,3,2,8,5,4,7]=>0101101=>7
[1,3,8,6,4,2,5,7]=>0010101=>7
[1,5,7,4,2,3,8,6]=>0010011=>7
[6,3,7,5,4,2,8,1]=>0011111=>7
[7,5,2,6,3,4,8,1]=>0001111=>7
[3,8,2,7,5,4,1,6]=>0011011=>7
[5,4,8,6,7,1,2,3]=>0001011=>7
[2,7,3,6,8,5,4,1]=>0011011=>7
[3,7,2,8,1,6,4,5]=>0000111=>7
[8,5,2,4,6,7,3,1]=>0101011=>7
[2,5,8,7,1,4,3,6]=>0010011=>7
[3,4,6,5,8,2,7,1]=>0000111=>7
[5,2,4,1,6,7,8,3]=>0011001=>7
[4,2,7,1,6,8,3,5]=>0010011=>7
[5,2,8,6,4,7,1,3]=>0001111=>7
[6,1,3,4,7,2,8,5]=>0000111=>7
[8,4,7,2,5,3,1,6]=>0101011=>7
[8,3,4,5,2,1,7,6]=>1001011=>7
[8,6,1,4,7,3,5,2]=>0001111=>7
[5,3,6,7,2,8,4,1]=>0011011=>7
[5,3,6,7,2,4,8,1]=>0001011=>7
[8,6,4,2,7,1,5,3]=>0011111=>7
[8,6,1,4,7,5,2,3]=>0001111=>7
[1,5,8,2,6,7,4,3]=>0010011=>7
[7,1,3,6,5,2,8,4]=>0001111=>7
[8,2,1,4,5,7,6,3]=>1000111=>7
[1,4,7,5,2,3,8,6]=>0001011=>7
[6,1,7,5,4,2,8,3]=>0011111=>7
[2,7,3,6,5,1,8,4]=>0001111=>7
[8,6,5,1,3,7,4,2]=>0011111=>7
[5,7,6,2,4,8,1,3]=>0000111=>7
[3,7,5,6,4,8,1,2]=>0000111=>7
[7,6,8,1,3,5,4,2]=>0011011=>7
[2,8,4,6,1,7,5,3]=>0001111=>7
[2,8,6,4,7,3,5,1]=>0001111=>7
[8,7,1,4,6,5,3,2]=>0101111=>7
[3,5,8,6,7,1,4,2]=>0010011=>7
[1,2,4,6,8,5,3,7]=>0001001=>7
[3,1,5,8,6,2,4,7]=>0100101=>7
[2,5,4,6,8,1,3,7]=>0001001=>7
[6,5,2,4,7,8,1,3]=>0001101=>7
[7,2,5,8,6,4,1,3]=>0010111=>7
[5,2,8,3,4,7,6,1]=>0001111=>7
[2,4,3,8,7,1,6,5]=>0010111=>7
[1,5,8,7,4,2,6,3]=>0010111=>7
[6,8,7,5,4,3,1,2]=>0111011=>7
[5,6,4,7,3,8,2,9,1]=>00001111=>8
[5,6,4,7,3,9,2,8,1]=>00001111=>8
[5,3,4,8,6,2,7,1]=>0001111=>7
[5,4,6,3,7,2,8,1,9]=>00011110=>8
[6,5,7,4,8,3,9,2,10,1]=>000011111=>9
[6,5,7,4,8,3,10,2,9,1]=>000011111=>9
[3,4,5,8,6,2,7,1]=>0000111=>7
[5,6,4,7,3,8,2,9,1,10]=>000011110=>9
[5,4,2,3,6,1,8,7]=>0011101=>7
[5,1,7,4,3,6,8,2]=>0011011=>7
[4,3,7,6,8,2,1,5]=>1010011=>7
[8,1,4,7,2,3,5,6]=>0000011=>7
[6,1,8,5,2,7,3,4]=>0001111=>7
[8,7,2,6,3,1,4,5]=>0100111=>7
[8,7,1,6,4,5,2,3]=>0001111=>7
[5,4,1,3,7,2,8,6]=>0011011=>7
[8,3,4,7,6,2,1,5]=>1000111=>7
[3,1,8,7,5,2,4,6]=>0101011=>7
[6,5,8,7,2,4,3,1]=>0110111=>7
[4,3,6,5,8,2,1,7]=>1010101=>7
[7,6,3,2,8,5,4,1]=>0111111=>7
[3,2,6,8,7,1,4,5]=>0100011=>7
[4,3,7,1,8,5,2,6]=>0011011=>7
[3,2,8,5,6,7,1,4]=>0100011=>7
[8,3,2,1,4,7,5,6]=>1100011=>7
[4,7,3,1,8,5,2,6]=>0101011=>7
[7,5,1,4,2,3,6,8]=>0011010=>7
[7,8,6,1,2,4,5,3]=>0001101=>7
[1,5,3,4,7,8,6,2]=>0001101=>7
[5,1,2,4,7,8,6,3]=>0001101=>7
[5,1,7,8,6,2,3,4]=>0001101=>7
[8,5,1,6,7,2,3,4]=>0001011=>7
[7,5,1,2,4,6,8,3]=>0001011=>7
[6,1,5,2,7,3,4,8]=>0001110=>7
[7,1,2,6,4,5,8,3]=>0000111=>7
[1,7,3,6,4,5,8,2]=>0000111=>7
[1,8,3,6,4,5,7,2]=>0000111=>7
[8,1,6,2,7,3,4,5]=>0000111=>7
[7,1,6,2,5,3,4,8]=>0001110=>7
[8,1,6,2,5,3,4,7]=>0001101=>7
[8,1,7,2,5,3,4,6]=>0001011=>7
[8,1,2,7,4,5,6,3]=>0000111=>7
[1,8,3,7,4,5,6,2]=>0000111=>7
[8,1,6,7,5,2,3,4]=>0001011=>7
[7,3,1,2,6,4,5,8]=>0100110=>7
[3,1,2,8,5,6,7,4]=>0100011=>7
[6,3,1,2,7,4,5,8]=>0100110=>7
[6,1,7,4,2,3,5,8]=>0010110=>7
[1,7,3,4,6,8,5,2]=>0001011=>7
[1,7,3,8,4,5,6,2]=>0000111=>7
[7,1,8,2,5,3,4,6]=>0001011=>7
[6,1,7,2,5,3,4,8]=>0001110=>7
[5,1,7,2,6,3,4,8]=>0001110=>7
[5,1,8,2,6,3,4,7]=>0001101=>7
[1,6,3,7,4,5,8,2]=>0000111=>7
[2,4,7,3,5,1,6,8]=>0001010=>7
[2,4,8,6,3,5,1,7]=>0001101=>7
[2,3,7,5,4,1,6,8]=>0011010=>7
[3,4,6,2,1,5,8,7]=>1000101=>7
[3,4,7,2,1,6,5,8]=>1000110=>7
[2,6,8,3,5,1,4,7]=>0001001=>7
[2,3,6,1,5,8,4,7]=>0000101=>7
[2,3,7,1,6,5,8,4]=>0000111=>7
[2,4,7,1,3,6,8,5]=>0000011=>7
[5,4,7,8,1,3,2,6]=>0101001=>7
[2,5,7,1,4,6,3,8]=>0000110=>7
[2,4,7,1,6,3,5,8]=>0000110=>7
[2,3,7,1,6,5,4,8]=>0001110=>7
[2,5,7,1,4,3,6,8]=>0010010=>7
[2,5,7,3,1,4,6,8]=>0100010=>7
[3,4,7,2,1,6,8,5]=>1000011=>7
[4,6,3,7,1,5,2,8]=>0001110=>7
[5,7,3,2,8,1,4,6]=>0100011=>7
[2,6,5,7,1,8,4,3]=>0010111=>7
[3,6,8,5,4,1,7,2]=>0011011=>7
[5,4,7,8,1,3,6,2]=>0001101=>7
[2,5,7,1,4,6,8,3]=>0000011=>7
[2,4,7,1,6,3,8,5]=>0000111=>7
[2,4,7,1,6,8,3,5]=>0000011=>7
[2,4,8,3,1,7,6,5]=>0100111=>7
[1,8,3,4,5,6,7,9,2]=>00000011=>8
[7,2,3,4,5,6,1,9,8]=>00001101=>8
[2,1,9,4,5,6,7,8,3]=>10000011=>8
[2,8,3,4,5,6,7,1,9]=>00000110=>8
[8,6,5,1,2,4,3,7]=>0011101=>7
[7,6,1,4,2,3,5,8]=>0010110=>7
[6,5,1,4,8,3,2,7]=>0101101=>7
[8,7,1,4,3,2,5,6]=>0110011=>7
[8,7,5,1,4,2,3,6]=>0011011=>7
[8,4,1,2,5,3,6,7]=>0011001=>7
[8,7,5,1,4,2,6,3]=>0011111=>7
[8,6,1,4,2,5,3,7]=>0011101=>7
[8,7,1,4,3,2,6,5]=>0110111=>7
[8,7,6,3,1,5,4,2]=>0111111=>7
[2,8,3,7,4,5,6,1]=>0000111=>7
[8,7,5,2,4,3,6,1]=>0011111=>7
[2,9,1,8,7,6,5,4,3]=>00111111=>8
[2,9,8,1,7,6,5,4,3]=>00111111=>8
[4,2,5,7,3,1,6,8]=>0110010=>7
[8,2,4,5,3,1,6,7]=>0101001=>7
[8,4,5,1,3,2,6,7]=>0101001=>7
[4,3,7,5,2,1,6,8]=>1011010=>7
[1,6,7,4,3,2,5,8]=>0110010=>7
[1,4,5,7,3,2,6,8]=>0100010=>7
[3,5,1,4,7,2,6,8]=>0001010=>7
[2,5,1,4,7,8,3,6]=>0001001=>7
[4,3,7,1,5,2,6,8]=>0011010=>7
[3,5,1,6,4,2,7,8]=>0011100=>7
[6,4,3,1,7,2,5,8]=>0110110=>7
[6,2,7,4,3,1,5,8]=>0110110=>7
[2,6,4,1,7,3,5,8]=>0010110=>7
[6,3,2,7,4,5,1,8]=>0101110=>7
[7,2,4,1,3,6,8,5]=>0010011=>7
[6,3,2,5,7,1,4,8]=>0100110=>7
[3,2,6,5,7,1,4,8]=>0100110=>7
[1,7,3,2,5,6,4,8]=>0100110=>7
[2,1,7,3,5,6,8,4]=>1000011=>7
[2,1,6,3,5,7,8,4]=>1000101=>7
[1,6,3,2,5,7,4,8]=>0100110=>7
[1,4,6,5,2,7,3,8]=>0001110=>7
[5,6,2,1,4,3,7,8]=>1010100=>7
[2,5,1,6,4,3,7,8]=>0011100=>7
[2,5,4,1,6,3,7,8]=>0011100=>7
[4,6,1,5,2,7,3,8]=>0001110=>7
[1,6,5,3,7,2,4,8]=>0001110=>7
[1,2,5,4,7,3,6,8]=>0001010=>7
[1,2,5,3,4,8,7,6]=>0001011=>7
[5,2,7,6,1,8,4,3]=>0011111=>7
[5,8,2,6,1,7,4,3]=>0010111=>7
[1,7,8,2,4,6,5,3]=>0001101=>7
[1,5,8,3,6,2,7,4]=>0000111=>7
[6,8,7,1,4,5,2,3]=>0001011=>7
[1,2,6,4,7,3,8,5]=>0000111=>7
[1,2,7,8,3,5,6,4]=>0000101=>7
[4,8,7,6,2,1,5,3]=>1001111=>7
[2,7,4,5,8,1,6,3]=>0000111=>7
[2,6,1,8,5,4,3,7]=>0011101=>7
[5,8,6,2,3,4,1,7]=>0010101=>7
[5,8,6,2,1,4,3,7]=>1010101=>7
[4,5,8,6,2,1,3,7]=>1000101=>7
[6,4,7,5,8,2,1,3]=>1000111=>7
[6,3,7,4,2,5,8,1]=>0010111=>7
[6,2,1,5,8,4,3,7]=>1010101=>7
[7,5,6,2,4,3,8,1]=>0010111=>7
[4,6,2,5,7,3,8,1]=>0000111=>7
[4,2,8,5,3,6,1,7]=>0011101=>7
[8,1,7,4,5,6,2,3]=>0000111=>7
[2,1,7,8,4,5,6,3]=>1000101=>7
[8,2,1,4,3,7,6,5]=>1010111=>7
[7,6,5,3,1,2,8,4]=>0101111=>7
[5,4,1,6,2,8,3,7]=>0011101=>7
[6,2,3,1,7,8,4,5]=>0100101=>7
[3,1,8,6,7,2,4,5]=>0100011=>7
[4,2,5,1,8,6,7,3]=>0011011=>7
[4,5,3,7,1,6,8,2]=>0001011=>7
[4,2,8,5,3,6,7,1]=>0011011=>7
[2,8,6,3,5,4,7,1]=>0001111=>7
[3,5,2,8,6,4,7,1]=>0001111=>7
[7,3,5,1,6,4,8,2]=>0001111=>7
[5,1,4,7,2,6,8,3]=>0001011=>7
[1,8,2,5,6,4,7,3]=>0000111=>7
[2,7,1,4,8,5,6,3]=>0000111=>7
[2,8,4,6,1,3,7,5]=>0000111=>7
[8,4,6,2,5,3,7,1]=>0001111=>7
[8,3,7,6,2,1,5,4]=>1001111=>7
[8,5,2,7,6,1,4,3]=>0011111=>7
[5,8,2,7,6,1,4,3]=>0010111=>7
[8,3,7,6,2,5,1,4]=>0001111=>7
[7,3,8,6,5,1,4,2]=>0011111=>7
[9,8,7,6,1,2,3,4,5,10]=>000011110=>9
[2,6,3,7,5,4,8,1]=>0001111=>7
[5,4,7,1,3,8,6,2]=>0001111=>7
[2,8,5,1,4,7,3,6]=>0001011=>7
[8,1,4,2,5,7,3,6]=>0010011=>7
[7,2,6,5,8,4,3,1]=>0110111=>7
[3,4,8,5,6,2,7,1]=>0000111=>7
[5,8,2,3,4,6,1,7]=>0000101=>7
[6,1,3,4,2,5,7,8]=>0010100=>7
[1,5,6,3,2,4,7,8]=>0100100=>7
[6,3,5,2,4,1,7,8]=>0011100=>7
[7,8,3,5,2,4,6,1]=>0001101=>7
[2,4,5,7,3,6,1,8]=>0000110=>7
[2,5,3,1,6,4,7,8]=>0101100=>7
[6,5,1,3,4,2,7,8]=>0011100=>7
[5,7,4,3,2,6,1,8]=>0110110=>7
[6,8,7,4,3,5,1,2]=>0011011=>7
[2,6,7,8,4,3,5,1]=>0011001=>7
[1,7,8,4,5,3,6,2]=>0001101=>7
[7,1,8,5,3,4,6,2]=>0001111=>7
[5,7,4,2,1,6,3,8]=>1010110=>7
[5,1,4,7,3,6,2,8]=>0001110=>7
[7,4,8,6,3,5,2,1]=>1001111=>7
[4,7,6,3,5,2,1,8]=>1001110=>7
[1,6,5,8,7,4,2,3]=>0010111=>7
[6,1,3,8,7,5,2,4]=>0001111=>7
[7,6,2,1,8,3,5,4]=>1001111=>7
[7,1,3,6,8,2,5,4]=>0001011=>7
[1,7,5,6,8,2,4,3]=>0010011=>7
[3,6,7,5,8,2,4,1]=>0010011=>7
[1,7,4,5,2,8,6,3]=>0001111=>7
[7,5,4,2,1,8,6,3]=>1011111=>7
[3,6,7,4,2,8,5,1]=>0011011=>7
[4,6,3,2,7,8,5,1]=>0101101=>7
[7,6,1,3,4,2,5,8]=>0010110=>7
[7,8,2,6,4,5,3,1]=>0101101=>7
[7,2,5,4,6,1,3,8]=>0001110=>7
[7,1,2,4,5,6,3,8]=>0000110=>7
[7,3,2,1,5,6,4,8]=>1100110=>7
[3,6,2,1,7,5,4,8]=>1001110=>7
[2,6,7,3,1,5,4,8]=>0101010=>7
[2,1,6,4,7,5,3,8]=>1001110=>7
[7,2,8,5,6,4,3,1]=>0110111=>7
[7,6,8,5,4,1,3,2]=>0111011=>7
[7,1,8,4,6,5,3,2]=>0101111=>7
[7,8,6,3,1,5,4,2]=>0111101=>7
[7,6,1,4,5,3,2,8]=>0101110=>7
[7,1,5,6,4,3,2,8]=>0110110=>7
[4,1,3,8,6,2,7,5]=>0010111=>7
[5,1,2,8,4,6,7,3]=>0001011=>7
[5,6,3,2,8,1,7,4]=>0100111=>7
[8,2,6,3,1,5,7,4]=>0100111=>7
[8,2,5,6,7,4,3,1]=>0110011=>7
[8,2,5,3,4,7,6,1]=>0001111=>7
[7,5,3,2,4,1,8,6]=>0111011=>7
[7,1,2,3,6,8,4,5]=>0000011=>7
[6,7,2,8,3,4,5,1]=>0001011=>7
[3,1,8,4,6,5,7,2]=>0100111=>7
[6,1,2,3,8,4,7,5]=>0000111=>7
[8,1,6,7,4,2,3,5]=>0010011=>7
[8,1,6,4,5,2,3,7]=>0001101=>7
[8,6,4,7,2,3,5,1]=>0001111=>7
[8,6,4,1,2,3,7,5]=>0010111=>7
[8,6,1,4,2,5,7,3]=>0010111=>7
[8,6,7,4,2,5,1,3]=>0011011=>7
[8,6,4,2,5,3,7,1]=>0011111=>7
[8,6,4,2,5,3,1,7]=>0111101=>7
[8,6,4,2,7,3,1,5]=>0110111=>7
[8,6,4,1,5,7,2,3]=>0010111=>7
[8,6,4,2,1,5,7,3]=>1010111=>7
[8,6,4,2,1,7,3,5]=>1010111=>7
[8,6,1,4,7,2,5,3]=>0001111=>7
[8,6,4,1,5,2,3,7]=>0011101=>7
[8,6,7,1,4,5,2,3]=>0001011=>7
[8,6,4,5,2,7,3,1]=>0101111=>7
[8,6,7,4,2,1,5,3]=>1011011=>7
[8,6,4,7,2,1,5,3]=>1001111=>7
[8,6,4,2,5,7,3,1]=>0110111=>7
[8,6,4,2,5,1,7,3]=>0011111=>7
[8,6,4,2,5,7,1,3]=>0010111=>7
[3,4,7,5,8,2,6,1]=>0000111=>7
[8,7,1,4,6,5,2,3]=>0001111=>7
[8,3,7,6,4,5,1,2]=>0001111=>7
[5,3,8,6,4,1,7,2]=>0011111=>7
[8,10,1,2,3,4,5,9,6,7]=>000000011=>9
[10,8,1,9,2,3,4,5,6,7]=>000000111=>9
[8,7,1,2,3,4,5,9,10,6]=>000001101=>9
[10,11,1,9,2,3,4,5,6,7,8]=>0000000101=>10
[6,1,2,3,4,5,7,8,9]=>00001000=>8
[5,1,2,3,4,6,7,8,9]=>00010000=>8
[4,1,2,3,5,6,7,8,9]=>00100000=>8
[2,10,1,5,6,7,8,9,3,4]=>000000011=>9
[7,4,5,1,2,8,6,3]=>0001111=>7
[6,4,7,1,8,5,2,3]=>0001111=>7
[5,7,4,2,3,8,6,1]=>0010111=>7
[3,8,2,5,1,7,4,6]=>0001011=>7
[5,8,4,2,3,7,1,6]=>0010011=>7
[4,8,5,2,1,7,3,6]=>1001011=>7
[8,5,7,6,1,2,4,3]=>0010111=>7
[6,8,7,5,2,4,1,3]=>0011011=>7
[5,7,6,8,4,1,3,2]=>0110011=>7
[7,3,1,6,8,5,4,2]=>0111011=>7
[5,3,1,7,4,8,6,2]=>0101111=>7
[7,3,1,8,6,4,5,2]=>0101111=>7
[8,6,4,1,7,3,2,5]=>0110111=>7
[4,6,8,3,7,1,2,5]=>0000011=>7
[3,5,2,8,4,7,1,6]=>0001011=>7
[6,4,8,3,7,2,1,5]=>1000111=>7
[3,6,2,8,7,4,1,5]=>0010111=>7
[6,8,4,2,7,3,1,5]=>0110011=>7
[9,8,2,3,4,5,6,7,1]=>00000111=>8
[8,9,2,3,4,5,6,7,1]=>00000101=>8
[9,8,7,6,4,5,3,2,1]=>11011111=>8
[5,6,7,9,8,4,3,2,1]=>11100011=>8
[5,6,7,8,9,1,4,3,2]=>01100001=>8
[10,9,2,3,4,5,6,7,8,1]=>000000111=>9
[3,4,7,8,5,1,2,6]=>0001001=>7
[4,7,3,2,5,6,8,1]=>0100011=>7
[3,2,7,6,4,5,8,1]=>0100111=>7
[1,7,3,6,8,4,2,5]=>0010011=>7
[2,3,6,5,1,8,7,4]=>0001111=>7
[8,3,1,2,6,4,7,5]=>0100111=>7
[1,7,8,2,4,3,5,6]=>0010001=>7
[3,6,4,7,1,2,8,5]=>0000111=>7
[5,7,4,8,1,3,2,6]=>0100011=>7
[4,3,7,8,1,5,2,6]=>0011001=>7
[8,5,4,2,6,1,7,3]=>0011111=>7
[3,2,6,8,7,4,1,5]=>0110011=>7
[2,3,7,5,1,8,6,4]=>0001111=>7
[6,3,1,2,8,7,4,5]=>0100111=>7
[5,2,1,3,8,7,6,4]=>1001111=>7
[7,2,1,5,3,8,4,6]=>1001011=>7
[1,5,8,2,4,3,6,7]=>0010001=>7
[4,3,6,8,1,5,2,7]=>0011001=>7
[5,4,6,8,3,1,7,2]=>0101011=>7
[3,6,8,4,5,1,7,2]=>0001011=>7
[8,6,1,7,2,4,3,5]=>0010111=>7
[7,3,1,2,8,6,4,5]=>0100111=>7
[2,3,7,6,1,8,5,4]=>0001111=>7
[3,2,7,8,6,4,1,5]=>0110101=>7
[6,2,8,3,1,4,7,5]=>0100111=>7
[3,1,2,8,7,4,5,6]=>0100011=>7
[2,1,3,8,7,4,6,5]=>1000111=>7
[2,1,3,8,7,4,5,6]=>1000011=>7
[1,6,8,3,2,4,7,5]=>0100011=>7
[8,5,1,7,2,4,3,6]=>0011011=>7
[8,4,1,7,3,2,5,6]=>0110011=>7
[8,3,1,6,2,7,5,4]=>0101111=>7
[1,3,2,8,7,6,4,5]=>0100111=>7
[2,1,3,8,7,6,4,5]=>1000111=>7
[2,4,3,1,6,5,8,7,10,9]=>011010101=>9
[1,6,3,7,2,5,4,8]=>0001110=>7
[1,7,2,4,6,3,5,8]=>0000110=>7
[5,7,2,8,4,1,3,6]=>0010011=>7
[5,6,2,8,4,1,3,7]=>0010101=>7
[2,4,8,3,1,6,7,5]=>0100011=>7
[3,5,8,4,2,1,6,7]=>1010001=>7
[2,5,8,3,1,4,6,7]=>0100001=>7
[2,8,1,3,5,7,4,6]=>0000011=>7
[5,4,7,8,3,2,6,1]=>0101101=>7
[3,4,8,5,7,1,2,6]=>0000011=>7
[3,6,8,2,5,1,4,7]=>0001001=>7
[3,6,8,7,2,5,4,1]=>0011011=>7
[3,4,6,5,8,2,1,7]=>1000101=>7
[2,4,6,7,8,3,5,1]=>0001001=>7
[1,4,2,5,7,6,3,8]=>0010110=>7
[1,4,2,6,8,5,3,7]=>0011001=>7
[1,2,6,8,3,5,4,7]=>0001001=>7
[1,6,8,3,5,4,2,7]=>0011001=>7
[1,5,3,2,4,6,8,7]=>0101001=>7
[1,5,8,7,6,3,2,4]=>0100111=>7
[1,5,7,6,3,2,4,8]=>0100110=>7
[1,6,3,2,4,7,5,8]=>0100110=>7
[1,6,3,2,4,8,7,5]=>0100111=>7
[1,2,7,6,4,3,5,8]=>0010110=>7
[1,8,7,5,2,4,6,3]=>0001111=>7
[1,7,5,2,4,6,3,8]=>0001110=>7
[1,7,4,2,5,3,6,8]=>0011010=>7
[1,8,4,7,5,2,6,3]=>0001111=>7
[1,7,5,2,3,6,4,8]=>0001110=>7
[1,7,5,2,6,3,4,8]=>0001110=>7
[1,6,3,7,4,2,5,8]=>0010110=>7
[1,6,3,2,7,5,4,8]=>0101110=>7
[1,4,7,5,2,6,3,8]=>0001110=>7
[1,3,6,4,8,7,5,2]=>0001111=>7
[1,3,7,6,4,2,5,8]=>0010110=>7
[1,3,2,4,8,5,7,6]=>0100011=>7
[1,3,8,7,5,2,4,6]=>0001011=>7
[1,4,6,3,2,7,5,8]=>0100110=>7
[1,4,6,3,2,8,7,5]=>0100111=>7
[1,5,7,6,4,2,3,8]=>0010110=>7
[1,6,3,2,8,4,7,5]=>0100111=>7
[1,6,3,5,2,7,4,8]=>0001110=>7
[1,6,3,5,2,8,7,4]=>0001111=>7
[1,8,3,7,5,2,4,6]=>0001011=>7
[7,8,4,9,5,2,10,6,3,1]=>010110111=>9
[6,4,7,1,5,3,8,2]=>0001111=>7
[5,3,8,2,6,4,7,1]=>0001111=>7
[4,3,8,2,6,5,7,1]=>0010111=>7
[2,6,1,8,3,4,7,5]=>0000111=>7
[5,7,1,4,8,2,3,6]=>0000011=>7
[6,5,7,1,4,3,8,2]=>0010111=>7
[4,8,3,5,7,6,1,2]=>0000111=>7
[5,7,6,1,2,4,8,3]=>0000111=>7
[4,8,3,5,7,6,2,1]=>1000111=>7
[1,3,4,2,8,5,7,6]=>0010011=>7
[5,7,6,2,4,8,3,1]=>0100111=>7
[6,7,5,2,3,8,4,1]=>0011011=>7
[6,7,5,3,8,4,2,1]=>1011011=>7
[3,2,1,4,8,5,7,6]=>1100011=>7
[7,3,1,4,2,6,5,8]=>0110110=>7
[7,4,1,6,2,5,3,8]=>0011110=>7
[5,4,1,8,2,6,3,7]=>0011101=>7
[5,3,1,8,2,6,4,7]=>0101101=>7
[4,7,1,5,2,6,3,8]=>0001110=>7
[6,5,1,4,2,7,3,8]=>0011110=>7
[1,8,7,3,4,5,2,6]=>0001011=>7
[1,8,9,3,4,5,6,7,2]=>00000101=>8
[1,8,7,4,5,2,3,6]=>0001011=>7
[1,2,6,8,7,3,4,5]=>0000011=>7
[1,3,7,8,4,5,6,2]=>0000101=>7
[8,4,2,3,1,6,5,7]=>0110101=>7
[4,8,6,2,3,1,7,5]=>0100111=>7
[6,4,2,1,8,5,3,7]=>1011101=>7
[4,2,6,1,5,8,3,7]=>0010101=>7
[6,4,2,3,5,8,1,7]=>0010101=>7
[2,8,6,4,5,1,7,3]=>0001111=>7
[8,2,4,6,7,1,5,3]=>0001011=>7
[2,6,3,1,7,4,8,5]=>0100111=>7
[6,5,1,8,3,2,7,4]=>0101111=>7
[1,4,3,7,2,8,6,5]=>0010111=>7
[1,8,7,4,5,3,2,6]=>0101011=>7
[2,8,3,1,4,5,7,6]=>0100011=>7
[6,1,7,2,8,4,5,3]=>0001111=>7
[8,3,2,1,5,6,7,4]=>1100011=>7
[3,2,6,7,8,4,5,1]=>0101001=>7
[1,7,4,6,3,8,2,5]=>0000111=>7
[5,6,4,1,3,8,2,7]=>0010101=>7
[4,5,3,1,8,7,6,2]=>0101111=>7
[6,3,4,2,7,8,5,1]=>0011101=>7
[8,7,4,5,1,6,3,2]=>0101111=>7
[6,2,7,8,1,3,5,4]=>0001101=>7
[5,1,8,4,3,7,2,6]=>0011011=>7
[7,2,8,1,4,5,6,3]=>0000111=>7
[1,4,8,2,5,6,7,3]=>0000011=>7
[2,1,4,3,6,5,8,10,9,7]=>101010011=>9
[2,1,4,3,6,8,7,5,10,9]=>101001101=>9
[2,1,4,3,8,10,7,9,5,6]=>101000011=>9
[2,1,4,3,6,7,10,8,9,5]=>101000011=>9
[2,1,4,6,5,3,8,7,10,9]=>100110101=>9
[2,1,4,6,5,3,8,10,9,7]=>100110011=>9
[2,1,6,8,5,7,3,4,10,9]=>100001101=>9
[2,1,8,7,5,10,4,9,3,6]=>100001111=>9
[2,1,6,7,5,10,8,4,9,3]=>100001111=>9
[2,1,4,5,8,6,7,3,10,9]=>100001101=>9
[2,1,8,5,10,6,7,9,3,4]=>100000111=>9
[2,1,4,7,10,6,9,8,3,5]=>100000111=>9
[2,1,4,5,6,10,7,8,9,3]=>100000011=>9
[2,4,3,1,6,5,8,10,9,7]=>011010011=>9
[2,4,3,1,6,8,7,5,10,9]=>011001101=>9
[2,4,3,1,8,10,7,9,5,6]=>011000011=>9
[2,4,3,1,6,7,10,8,9,5]=>011000011=>9
[4,6,3,5,1,2,8,7,10,9]=>000110101=>9
[4,6,3,5,1,2,8,10,9,7]=>000110011=>9
[6,5,3,8,2,7,1,4,10,9]=>000111101=>9
[8,5,3,7,2,10,4,9,1,6]=>000101111=>9
[6,5,3,7,2,10,8,4,9,1]=>000111111=>9
[4,5,3,8,6,2,7,1,10,9]=>000111101=>9
[8,6,3,5,10,2,7,9,1,4]=>000010111=>9
[4,7,3,6,10,1,9,8,2,5]=>000001111=>9
[4,5,3,6,10,7,1,8,9,2]=>000101011=>9
[2,3,6,4,5,1,8,7,10,9]=>000110101=>9
[2,3,6,4,5,1,8,10,9,7]=>000110011=>9
[6,3,8,4,5,7,1,2,10,9]=>000011101=>9
[8,3,7,4,5,10,2,9,1,6]=>000001111=>9
[6,3,7,4,5,10,8,2,9,1]=>000011111=>9
[2,5,8,4,7,6,1,3,10,9]=>000011101=>9
[8,5,10,4,7,6,2,9,1,3]=>000011111=>9
[2,7,10,4,8,6,9,5,1,3]=>000100111=>9
[2,5,6,4,10,8,7,3,9,1]=>000011111=>9
[2,3,4,8,5,6,7,1,10,9]=>000001101=>9
[8,3,4,10,5,6,7,9,1,2]=>000000111=>9
[2,7,4,10,5,6,9,8,1,3]=>000001111=>9
[2,3,6,10,5,9,7,8,1,4]=>000000111=>9
[2,3,4,5,10,6,7,8,9,1]=>000000011=>9
[8,1,6,7,2,5,4,3]=>0011011=>7
[7,5,2,3,6,8,4,1]=>0011011=>7
[8,1,4,6,5,3,2,7]=>0101101=>7
[8,1,4,7,6,5,2,3]=>0001111=>7
[8,1,2,7,6,5,4,3]=>0011111=>7
[4,5,8,1,6,7,2,3]=>0000011=>7
[3,2,8,6,1,5,7,4]=>0100111=>7
[3,7,2,5,8,4,6,1]=>0000111=>7
[6,7,8,4,1,5,2,3]=>0011001=>7
[6,2,8,3,5,1,4,7]=>0001101=>7
[6,2,7,4,5,3,1,8]=>0101110=>7
[6,8,2,5,3,4,1,7]=>0011001=>7
[6,8,7,5,4,1,2,3]=>0011011=>7
[7,4,5,6,1,8,2,3]=>0000111=>7
[6,3,5,2,8,1,7,4]=>0001111=>7
[6,1,8,7,4,5,2,3]=>0001111=>7
[4,8,7,1,6,3,2,5]=>0100111=>7
[4,8,2,7,5,3,6,1]=>0001111=>7
[1,3,2,6,8,7,4,5]=>0100011=>7
[1,3,8,2,5,4,6,7]=>0001001=>7
[1,6,2,5,8,7,3,4]=>0000111=>7
[1,6,8,7,2,3,5,4]=>0001011=>7
[1,6,8,7,2,5,3,4]=>0001011=>7
[1,5,2,4,8,3,6,7]=>0001001=>7
[1,2,4,5,8,6,3,7]=>0000101=>7
[1,2,8,3,5,4,7,6]=>0001011=>7
[1,3,8,2,5,4,7,6]=>0001011=>7
[1,6,7,5,2,4,8,3]=>0001011=>7
[1,5,6,4,7,2,3,8]=>0000110=>7
[1,7,4,2,5,8,3,6]=>0010011=>7
[1,6,4,3,7,5,2,8]=>0011110=>7
[1,6,5,4,7,2,3,8]=>0001110=>7
[1,7,3,2,6,4,8,5]=>0100111=>7
[1,5,8,2,3,6,7,4]=>0000011=>7
[1,3,2,6,8,5,4,7]=>0101001=>7
[1,6,3,2,7,4,5,8]=>0100110=>7
[1,7,8,5,4,2,3,6]=>0011001=>7
[1,8,4,2,3,6,5,7]=>0010101=>7
[1,4,2,7,5,3,8,6]=>0011011=>7
[1,5,7,6,2,4,3,8]=>0010110=>7
[1,8,4,7,3,2,6,5]=>0100111=>7
[1,3,8,4,2,6,5,7]=>0010101=>7
[1,7,4,2,6,5,8,3]=>0010111=>7
[1,6,5,8,3,7,4,2]=>0010111=>7
[1,7,4,8,3,2,5,6]=>0100011=>7
[1,4,8,3,2,7,5,6]=>0100011=>7
[1,8,3,6,4,5,2,7]=>0001101=>7
[1,6,4,7,3,2,8,5]=>0100111=>7
[8,2,3,7,4,5,6,1]=>0000111=>7
[8,5,7,2,3,6,4,1]=>0010111=>7
[7,5,2,1,6,8,3,4]=>1001011=>7
[7,6,1,5,4,8,2,3]=>0001111=>7
[7,6,3,2,1,8,4,5]=>1100111=>7
[2,8,7,3,4,6,1,5]=>0000111=>7
[6,5,1,3,7,2,8,4]=>0001111=>7
[8,1,7,3,4,5,2,6]=>0001011=>7
[7,1,8,3,4,5,2,6]=>0001011=>7
[6,8,7,3,4,2,1,5]=>1010011=>7
[3,8,7,1,2,4,5,6]=>0000011=>7
[1,8,5,3,4,6,2,7]=>0001101=>7
[7,1,6,5,4,3,8,2]=>0011111=>7
[7,1,3,6,4,5,8,2]=>0000111=>7
[7,1,5,3,6,4,8,2]=>0001111=>7
[6,1,5,3,7,8,2,4]=>0001101=>7
[5,8,7,1,2,6,3,4]=>0000111=>7
[6,8,2,3,4,7,1,5]=>0000011=>7
[5,1,7,3,8,6,2,4]=>0001111=>7
[6,1,3,2,4,7,8,5]=>0100101=>7
[6,2,1,3,4,7,8,5]=>1000101=>7
[3,4,5,6,1,8,9,2,7]=>00001001=>8
[3,4,5,6,8,1,9,2,7]=>00000011=>8
[3,4,5,6,8,9,1,2,7]=>00000001=>8
[2,4,5,1,6,7,8,9,3]=>00010001=>4
[2,3,4,1,6,7,8,9,5]=>00100001=>8
[2,3,4,5,6,1,8,9,10,7]=>000010001=>9
[3,4,5,6,1,2,9,7,8]=>00001001=>8
[3,4,5,6,8,1,2,7,9]=>00000010=>8
[2,3,4,5,6,8,9,1,10,7]=>000000011=>9
[3,4,5,1,6,7,8,2,9]=>00010010=>8
[5,6,1,7,8,9,2,3,4]=>00001001=>8
[4,5,6,1,7,8,9,10,2,3]=>000010001=>9
[1,3,5,2,6,7,8,9,4]=>00010001=>4
[3,5,6,1,7,8,9,10,2,4]=>000010001=>9
[2,1,4,3,6,7,8,9,5]=>10100001=>8
[3,4,6,1,7,8,9,10,2,5]=>000010001=>9
[2,3,1,5,6,7,8,9,4]=>01000001=>8
[3,4,5,1,7,8,9,10,2,6]=>000100001=>9
[3,2,5,8,7,4,1,6]=>0110011=>7
[4,2,5,8,7,3,1,6]=>0110011=>7
[8,3,4,1,6,5,2,7]=>0011101=>7
[3,4,8,5,7,2,1,6]=>1000011=>7
[3,6,4,8,5,7,2,1]=>1000111=>7
[5,8,4,7,3,6,2,1]=>1000111=>7
[4,2,8,7,3,1,6,5]=>0110111=>7
[6,5,8,2,1,7,4,3]=>1010111=>7
[6,1,4,3,8,7,2,5]=>0010111=>7
[5,1,3,2,6,8,7,4]=>0101011=>7
[6,1,3,8,7,2,4,5]=>0000111=>7
[1,2,8,4,5,7,3,6]=>0000011=>7
[4,2,1,8,7,6,3,5]=>1010111=>7
[3,2,5,8,7,1,4,6]=>0100011=>7
[5,6,3,8,7,2,1,4]=>1000111=>7
[2,5,8,4,7,1,6,3]=>0000111=>7
[1,6,2,4,8,5,7,3]=>0000111=>7
[3,1,6,5,8,7,2,4]=>0100111=>7
[4,8,5,3,6,7,1,2]=>0001011=>7
[1,8,5,3,4,7,6,2]=>0001111=>7
[2,7,1,3,6,4,5,8]=>0000110=>7
[8,1,7,3,5,4,6,2]=>0001111=>7
[1,8,6,3,2,5,4,7]=>0101101=>7
[3,2,4,8,5,7,1,6]=>0100011=>7
[8,1,2,4,7,5,6,3]=>0000111=>7
[6,4,5,8,3,1,7,2]=>0100111=>7
[8,6,2,1,5,7,3,4]=>1000111=>7
[4,6,2,8,5,3,7,1]=>0001111=>7
[8,7,2,4,1,5,3,6]=>0011011=>7
[7,5,3,4,8,6,2,1]=>1001111=>7
[2,8,3,1,4,6,7,5]=>0100011=>7
[4,3,6,5,1,2,7,8]=>0011100=>7
[5,8,3,7,6,4,2,1]=>1010111=>7
[1,3,8,7,6,5,2,4]=>0001111=>7
[4,8,7,2,6,3,1,5]=>0100111=>7
[1,8,7,2,6,3,5,4]=>0001111=>7
[8,7,2,1,4,3,5,6]=>1010011=>7
[2,8,7,1,6,3,4,5]=>0000111=>7
[4,2,8,7,6,5,1,3]=>0011111=>7
[8,4,2,7,6,5,3,1]=>0111111=>7
[6,8,7,5,2,4,3,1]=>0111011=>7
[1,2,5,7,4,8,6,3]=>0000111=>7
[6,2,1,8,7,5,3,4]=>1001111=>7
[6,3,8,7,4,5,2,1]=>1001111=>7
[2,8,3,4,1,5,6,7]=>0010001=>7
[1,3,7,5,4,8,6,2]=>0001111=>7
[4,5,6,3,1,8,2,7]=>0100101=>7
[5,2,1,4,3,6,8,7]=>1011001=>7
[1,5,6,3,8,4,2,7]=>0010101=>7
[2,6,5,3,8,4,1,7]=>0011101=>7
[5,7,3,8,4,2,6,1]=>0010111=>7
[5,3,6,2,8,4,1,7]=>0011101=>7
[2,3,6,5,4,8,1,7]=>0001101=>7
[3,7,5,4,8,2,6,1]=>0001111=>7
[5,3,7,1,2,8,4,6]=>0001011=>7
[6,3,8,7,2,5,4,1]=>0011111=>7
[2,8,7,6,1,5,3,4]=>0001111=>7
[9,7,8,5,4,3,2,1,6]=>11110011=>8
[1,2,3,4,6,5,7,8,9]=>00001000=>8
[1,2,3,5,4,6,7,8,9]=>00010000=>8
[6,8,4,1,7,5,2,3]=>0011011=>7
[8,1,4,6,7,5,2,3]=>0001011=>7
[2,6,8,1,4,7,5,3]=>0001011=>7
[6,4,8,1,2,7,5,3]=>0001111=>7
[8,1,4,6,7,2,5,3]=>0001011=>7
[8,2,1,6,7,4,5,3]=>1001011=>7
[8,2,6,1,7,4,5,3]=>0001111=>7
[4,2,8,1,6,7,5,3]=>0011011=>7
[8,1,2,6,4,7,5,3]=>0001111=>7
[8,4,1,6,2,7,5,3]=>0011111=>7
[4,8,1,2,6,7,5,3]=>0001011=>7
[4,8,2,1,6,7,5,3]=>1001011=>7
[8,1,6,2,4,7,5,3]=>0001111=>7
[8,2,4,6,1,7,5,3]=>0001111=>7
[2,1,4,3,6,5,8,9,10,7]=>101010001=>9
[2,1,4,3,6,7,8,5,10,9]=>101000101=>9
[2,1,4,3,8,7,9,10,5,6]=>101000101=>9
[2,1,4,3,6,7,8,9,10,5]=>101000001=>9
[2,1,4,5,6,3,8,7,10,9]=>100010101=>9
[2,1,4,5,6,3,8,9,10,7]=>100010001=>9
[2,1,6,5,7,8,3,4,10,9]=>100010101=>9
[2,1,8,5,9,7,3,10,6,4]=>100011111=>9
[2,1,6,5,7,8,9,10,3,4]=>100010001=>9
[2,1,4,5,6,7,8,3,10,9]=>100000101=>9
[2,1,8,5,6,7,9,10,3,4]=>100000101=>9
[2,1,4,7,6,8,9,3,10,5]=>100001011=>9
[2,1,4,5,6,7,8,9,10,3]=>100000001=>9
[2,3,4,1,6,5,8,7,10,9]=>001010101=>9
[2,3,4,1,6,5,8,9,10,7]=>001010001=>9
[2,3,4,1,6,7,8,5,10,9]=>001000101=>9
[2,3,4,1,8,7,9,10,5,6]=>001000101=>9
[2,3,4,1,6,7,8,9,10,5]=>001000001=>9
[4,3,5,6,1,2,8,7,10,9]=>001010101=>9
[4,3,5,6,1,2,8,9,10,7]=>001010001=>9
[6,3,7,5,1,8,4,2,10,9]=>001111101=>9
[8,3,9,5,1,7,4,10,6,2]=>000111111=>9
[6,3,7,5,1,8,9,10,4,2]=>001111001=>9
[4,3,5,6,7,8,1,2,10,9]=>001000101=>9
[8,3,9,5,6,7,1,10,4,2]=>001001111=>9
[4,3,7,8,6,10,9,2,5,1]=>001100111=>9
[4,3,5,6,7,8,9,10,1,2]=>001000001=>9
[2,3,4,5,6,1,8,7,10,9]=>000010101=>9
[6,3,4,5,7,8,1,2,10,9]=>000010101=>9
[8,3,4,5,9,7,1,10,6,2]=>000011111=>9
[6,3,4,5,7,8,9,10,1,2]=>000010001=>9
[2,5,4,6,7,1,8,3,10,9]=>000101101=>9
[8,5,4,6,7,1,9,10,3,2]=>010101101=>9
[2,7,4,8,6,1,9,5,10,3]=>000011111=>9
[2,5,4,6,7,8,9,1,10,3]=>000100011=>9
[2,3,4,5,6,7,8,1,10,9]=>000000101=>9
[8,3,4,5,6,7,9,10,1,2]=>000000101=>9
[2,7,4,5,6,8,9,1,10,3]=>000001011=>9
[2,3,6,5,7,8,1,9,10,4]=>000010101=>9
[5,4,7,6,3,1,2,8]=>0101110=>7
[3,6,4,8,1,5,2,7]=>0001101=>7
[3,6,8,4,1,5,2,7]=>0011001=>7
[8,7,1,4,2,3,5,6]=>0010011=>7
[3,8,6,4,1,5,2,7]=>0011101=>7
[8,2,6,5,7,1,3,4]=>0000111=>7
[4,6,1,3,2,8,7,5]=>0100111=>7
[7,1,4,8,2,3,6,5]=>0000111=>7
[4,5,3,6,7,1,8,2]=>0001011=>7
[1,4,7,8,3,5,2,6]=>0001001=>7
[4,6,1,3,5,2,8,7]=>0001101=>7
[2,5,1,4,8,3,7,6]=>0001011=>7
[6,1,2,5,4,8,7,3]=>0001111=>7
[8,4,1,7,3,5,6,2]=>0010111=>7
[8,4,1,2,5,7,3,6]=>0010011=>7
[2,4,5,6,8,3,1,7]=>0100001=>7
[3,4,5,8,6,2,1,7]=>1000101=>7
[4,5,1,8,6,3,7,2]=>0001111=>7
[1,8,2,3,4,5,9,6,7]=>00000011=>8
[1,3,4,5,6,8,9,2,7]=>00000001=>8
[8,3,7,2,1,6,5,4]=>1001111=>7
[8,4,7,6,2,5,1,3]=>0001111=>7
[8,4,7,3,6,2,1,5]=>1000111=>7
[3,8,7,5,6,4,1,2]=>0010111=>7
[3,8,7,5,6,2,1,4]=>1000111=>7
[3,8,7,5,6,2,4,1]=>0010111=>7
[2,8,7,5,6,4,1,3]=>0010111=>7
[4,5,2,3,6,7,8,9,1]=>00010001=>4
[4,3,2,5,6,7,8,9,1]=>01100001=>8
[5,6,7,2,3,4,8,9,1]=>00000101=>8
[5,3,6,2,4,7,8,9,1]=>00011001=>8
[5,4,3,2,6,7,8,9,1]=>01110001=>8
[6,3,7,8,2,4,5,9,1]=>00001011=>8
[6,7,4,5,2,3,8,9,1]=>00010101=>8
[6,4,3,7,2,5,8,9,1]=>00101101=>8
[7,8,4,5,9,2,3,6,1]=>00001011=>8
[7,4,3,8,9,2,5,6,1]=>00101101=>8
[7,5,8,3,6,2,4,9,1]=>00001111=>8
[7,5,4,3,8,2,6,9,1]=>00110111=>8
[7,6,5,4,3,2,8,9,1]=>01111101=>8
[8,6,4,9,3,7,2,5,1]=>00011111=>8
[8,6,5,4,3,9,2,7,1]=>00111111=>8
[4,5,2,3,6,7,8,9,10,1]=>000100001=>9
[4,3,2,5,6,7,8,9,10,1]=>011000001=>9
[5,6,7,2,3,4,8,9,10,1]=>000001001=>9
[5,3,6,2,4,7,8,9,10,1]=>000110001=>9
[5,4,3,2,6,7,8,9,10,1]=>011100001=>9
[6,7,8,9,2,3,4,5,10,1]=>000000011=>9
[6,3,7,8,2,4,5,9,10,1]=>000010101=>9
[6,7,4,5,2,3,8,9,10,1]=>000101001=>9
[6,4,3,7,2,5,8,9,10,1]=>001011001=>9
[6,5,4,3,2,7,8,9,10,1]=>011110001=>9
[7,8,9,10,1,3,4,5,6,2]=>000010001=>9
[7,3,8,9,10,2,4,5,6,1]=>000011001=>9
[7,4,3,8,9,2,5,6,10,1]=>001001011=>9
[7,5,8,3,6,2,4,9,10,1]=>000011101=>9
[7,5,4,3,8,2,6,9,10,1]=>001101101=>9
[7,6,5,4,3,2,8,9,10,1]=>011111001=>9
[8,5,9,3,6,10,2,4,7,1]=>000001111=>9
[8,5,4,3,9,10,2,6,7,1]=>001101101=>9
[8,9,6,7,4,5,2,3,10,1]=>000101011=>9
[8,6,4,9,3,7,2,5,10,1]=>000011111=>9
[8,6,5,4,3,9,2,7,10,1]=>001110111=>9
[8,7,6,5,4,3,2,9,10,1]=>011111101=>9
[9,7,5,4,10,3,8,2,6,1]=>000111111=>9
[9,7,6,5,4,3,10,2,8,1]=>001111111=>9
[10,1,9,2,8,3,7,4,6,5]=>000011111=>9
[1,5,6,3,8,2,7,4]=>0000111=>7
[2,6,3,8,4,7,1,5]=>0000111=>7
[2,6,3,5,7,8,1,4]=>0000101=>7
[1,5,6,3,7,2,8,4]=>0000111=>7
[1,7,5,3,6,2,8,4]=>0001111=>7
[1,5,7,3,4,2,8,6]=>0010011=>7
[1,5,8,3,4,2,7,6]=>0010011=>7
[1,4,5,3,7,2,8,6]=>0001011=>7
[1,4,5,3,8,2,7,6]=>0001011=>7
[6,5,1,4,2,7,8,3]=>0011101=>7
[6,5,1,4,2,8,7,3]=>0011111=>7
[1,7,5,4,2,8,6,3]=>0011111=>7
[5,1,6,8,3,7,2,4]=>0001011=>7
[1,2,3,4,5,6,7,8,9,10,11]=>0000000000=>1
[1,4,3,6,5,10,9,7,8,2]=>001010111=>9
[1,4,3,8,7,5,6,10,9,2]=>001001111=>9
[1,4,3,10,7,5,9,6,8,2]=>001001111=>9
[1,4,3,10,9,8,5,6,7,2]=>001001111=>9
[1,6,5,3,4,8,7,10,9,2]=>000110111=>9
[1,6,5,3,4,10,9,7,8,2]=>000110111=>9
[1,8,5,3,7,4,6,10,9,2]=>000101111=>9
[1,10,5,3,7,4,9,6,8,2]=>000101111=>9
[1,10,5,3,9,8,4,6,7,2]=>000101111=>9
[1,8,7,6,3,4,5,10,9,2]=>000011111=>9
[1,10,7,6,3,4,9,5,8,2]=>000011111=>9
[1,10,9,6,3,8,4,5,7,2]=>000011111=>9
[1,10,9,8,7,3,4,5,6,2]=>000011111=>9
[3,1,2,6,5,8,7,10,9,4]=>010010111=>9
[3,1,2,6,5,10,9,7,8,4]=>010010111=>9
[3,1,2,8,7,5,6,10,9,4]=>010001111=>9
[3,1,2,10,7,5,9,6,8,4]=>010001111=>9
[3,1,2,10,9,8,5,6,7,4]=>010001111=>9
[3,1,5,2,4,8,7,10,9,6]=>010100111=>9
[3,1,5,2,4,10,9,7,8,6]=>010100111=>9
[3,1,5,2,7,4,6,10,9,8]=>010101011=>9
[3,1,5,2,9,8,4,6,7,10]=>010100110=>9
[3,1,7,6,2,4,5,10,9,8]=>010011011=>9
[3,1,7,6,2,4,9,5,8,10]=>010011010=>9
[3,1,9,6,2,8,4,5,7,10]=>010010110=>9
[3,1,9,8,7,2,4,5,6,10]=>010001110=>9
[5,4,1,2,3,8,7,10,9,6]=>001100111=>9
[5,4,1,2,3,10,9,7,8,6]=>001100111=>9
[5,4,1,2,7,3,6,10,9,8]=>001101011=>9
[5,4,1,2,7,3,9,6,8,10]=>001101010=>9
[5,4,1,2,9,8,3,6,7,10]=>001100110=>9
[7,4,1,6,2,3,5,10,9,8]=>001011011=>9
[7,4,1,6,2,3,9,5,8,10]=>001011010=>9
[9,4,1,6,2,8,3,5,7,10]=>001010110=>9
[9,4,1,8,7,2,3,5,6,10]=>001001110=>9
[7,6,5,1,2,3,4,10,9,8]=>000111011=>9
[7,6,5,1,2,3,9,4,8,10]=>000111010=>9
[9,6,5,1,2,8,3,4,7,10]=>000110110=>9
[9,8,5,1,7,2,3,4,6,10]=>000101110=>9
[3,8,5,2,1,4,7,6]=>1001011=>7
[3,5,4,8,2,6,7,1]=>0001011=>7
[5,4,7,1,8,6,3,2]=>0101111=>7
[2,4,1,5,3,6,7,8,9]=>00110000=>8
[1,4,8,2,6,5,3,7]=>0001101=>7
[8,5,1,3,6,2,4,7]=>0001101=>7
[7,5,1,8,3,4,2,6]=>0011011=>7
[5,2,8,1,7,4,3,6]=>0011011=>7
[1,4,8,2,6,7,3,5]=>0000011=>7
[1,2,5,6,8,7,3,4]=>0000011=>7
[1,5,6,8,2,7,4,3]=>0010011=>7
[2,6,7,3,4,1,8,5]=>0010011=>7
[1,6,5,7,8,2,4,3]=>0010101=>7
[1,5,6,7,2,8,4,3]=>0010011=>7
[3,7,6,1,8,2,4,5]=>0000111=>7
[1,3,7,2,6,4,8,5]=>0000111=>7
[1,5,8,6,7,3,4,2]=>0010011=>7
[1,6,5,8,7,2,4,3]=>0010111=>7
[1,5,7,6,2,8,3,4]=>0000111=>7
[1,2,5,8,6,7,4,3]=>0010011=>7
[1,2,6,5,7,3,8,4]=>0000111=>7
[1,7,5,8,6,4,2,3]=>0010111=>7
[3,6,5,8,1,2,7,4]=>0000111=>7
[5,4,7,8,1,6,3,2]=>0101101=>7
[2,5,6,8,1,3,7,4]=>0000011=>7
[5,3,6,8,1,2,7,4]=>0001011=>7
[4,6,5,8,3,2,7,1]=>0100111=>7
[4,5,6,8,2,3,7,1]=>0000011=>7
[2,5,8,7,1,6,4,3]=>0010111=>7
[4,7,5,8,3,6,2,1]=>1000111=>7
[7,3,6,8,5,2,1,4]=>1001011=>7
[8,3,6,7,5,2,4,1]=>0011011=>7
[8,4,5,7,3,6,2,1]=>1000111=>7
[2,4,7,8,5,6,3,1]=>0100101=>7
[3,6,8,7,5,2,4,1]=>0011011=>7
[6,4,7,8,5,1,3,2]=>0101101=>7
[7,8,4,6,5,3,1,2]=>0101101=>7
[6,8,4,7,5,1,3,2]=>0101011=>7
[4,5,6,7,8,3,9,1,2]=>00000011=>8
[8,9,2,3,4,5,1,6,7]=>00010001=>4
[5,6,7,4,8,9,1,2,3]=>00000101=>8
[7,8,9,2,3,1,4,5,6]=>01000001=>8
[6,5,7,8,9,1,2,3,4]=>00001001=>8
[7,6,1,2,3,5,4,8]=>0001110=>7
[2,8,7,5,1,6,3,4]=>0001111=>7
[8,7,6,4,2,1,5,3]=>1011111=>7
[3,8,7,5,2,6,4,1]=>0011111=>7
[3,8,7,5,1,2,6,4]=>0001111=>7
[5,8,3,7,1,4,6,2]=>0000111=>7
[3,8,7,4,2,6,5,1]=>0011111=>7
[5,8,3,2,4,7,6,1]=>0100111=>7
[5,3,8,2,4,6,1,7]=>0001101=>7
[4,5,8,3,2,6,1,7]=>0100101=>7
[5,8,2,1,4,6,3,7]=>1000101=>7
[4,1,5,8,3,6,2,7]=>0010101=>7
[4,5,8,3,6,1,2,7]=>0000101=>7
[3,2,7,1,8,5,4,6]=>0101011=>7
[4,7,8,5,2,3,1,6]=>0101001=>7
[6,2,7,8,1,5,3,4]=>0001101=>7
[2,7,1,3,8,5,4,6]=>0001011=>7
[2,6,7,8,4,1,3,5]=>0010001=>7
[2,6,7,8,4,3,1,5]=>0110001=>7
[7,1,2,3,4,5,8,6,9]=>00000110=>8
[6,1,2,3,4,7,5,8,9]=>00001100=>8
[5,1,2,3,6,4,7,8,9]=>00011000=>8
[4,1,2,5,3,6,7,8,9]=>00110000=>8
[8,1,2,6,5,3,7,4]=>0001111=>7
[8,5,4,6,1,2,7,3]=>0001111=>7
[7,4,1,8,2,5,3,6]=>0011011=>7
[7,2,1,8,3,6,4,5]=>1000111=>7
[6,8,7,3,1,2,4,5]=>0100011=>7
[7,4,8,3,1,2,6,5]=>0100111=>7
[8,4,5,3,1,6,7,2]=>0101011=>7
[8,2,3,1,6,7,4,5]=>0100011=>7
[8,2,1,7,4,3,5,6]=>1010011=>7
[7,2,6,8,4,1,3,5]=>0010011=>7
[7,2,5,1,6,8,3,4]=>0001011=>7
[6,2,1,7,4,8,3,5]=>1000111=>7
[1,7,4,3,2,5,6,8]=>0110010=>7
[1,7,4,3,6,2,5,8]=>0010110=>7
[3,7,5,8,2,4,6,1]=>0000111=>7
[5,2,1,6,3,4,8,7]=>1001101=>7
[5,1,3,4,6,2,8,7]=>0001101=>7
[3,8,4,5,7,2,6,1]=>0000111=>7
[3,8,4,7,5,6,2,1]=>1000111=>7
[4,2,8,6,3,7,5,1]=>0011111=>7
[4,1,7,6,3,8,5,2]=>0011111=>7
[7,4,1,8,5,3,6,2]=>0011111=>7
[3,5,6,8,4,7,1,2]=>0000011=>7
[5,4,1,8,6,7,2,3]=>0011011=>7
[6,2,8,4,5,3,7,1]=>0001111=>7
[4,5,2,1,8,7,3,6]=>1001011=>7
[4,7,3,8,2,6,5,1]=>0001111=>7
[4,7,3,1,8,6,2,5]=>0100111=>7
[6,2,1,3,7,4,8,5]=>1000111=>7
[6,3,7,1,2,5,8,4]=>0000111=>7
[5,1,4,7,8,2,6,3]=>0001101=>7
[7,2,5,8,1,3,6,4]=>0000111=>7
[8,3,6,7,2,4,5,1]=>0001011=>7
[3,8,7,5,2,1,6,4]=>1001111=>7
[3,8,5,6,2,7,4,1]=>0010111=>7
[3,6,5,8,4,2,7,1]=>0010111=>7
[6,8,3,2,5,7,4,1]=>0110011=>7
[4,1,5,6,8,7,3,2]=>0110011=>7
[8,4,2,3,6,7,5,1]=>0011011=>7
[6,1,2,4,5,7,8,3]=>0000101=>7
[4,5,1,3,7,6,8,2]=>0001011=>7
[3,5,4,8,6,2,7,1]=>0001111=>7
[3,6,2,4,5,8,7,1]=>0000111=>7
[8,1,2,3,4,5,9,7,6]=>00000111=>8
[8,1,2,3,4,9,6,7,5]=>00000111=>8
[9,1,2,3,8,5,6,7,4]=>00000111=>8
[8,1,3,7,4,5,6,2]=>0000111=>7
[9,1,2,3,4,5,6,10,8,7]=>000000111=>9
[9,1,2,3,4,5,10,7,8,6]=>000000111=>9
[10,1,2,3,4,9,6,7,8,5]=>000000111=>9
[10,1,9,3,4,5,6,7,8,2]=>000000111=>9
[10,1,2,3,4,5,6,8,9,7]=>000000011=>9
[9,1,2,3,4,6,7,8,5]=>00000011=>8
[8,1,5,3,6,4,7,2]=>0001111=>7
[2,6,4,1,5,8,7,3]=>0010111=>7
[7,6,5,2,4,3,8,1]=>0011111=>7
[3,6,4,5,2,8,1,7]=>0001101=>7
[8,1,5,4,7,3,6,2]=>0001111=>7
[7,6,5,4,1,8,2,3]=>0011111=>7
[3,6,4,1,5,7,2,8]=>0010110=>7
[8,1,5,4,7,6,3,2]=>0101111=>7
[2,5,1,4,6,7,3,8]=>0001010=>7
[7,6,5,2,8,4,1,3]=>0011111=>7
[3,1,6,5,2,8,7,4]=>0101111=>7
[1,7,2,4,3,5,8,6]=>0010011=>7
[3,8,1,7,4,2,6,5]=>0010111=>7
[8,1,7,4,3,5,6,2]=>0010111=>7
[6,8,2,4,5,3,7,1]=>0001011=>7
[4,8,5,3,6,1,7,2]=>0001111=>7
[8,6,3,2,7,4,1,5]=>0110111=>7
[2,7,3,1,8,4,5,6]=>0100011=>7
[1,2,8,3,5,6,4,7]=>0000101=>7
[3,5,7,4,8,1,6,2]=>0000111=>7
[2,8,1,3,5,4,6,7]=>0001001=>7
[1,3,2,10,6,5,4,9,8,7]=>010110111=>9
[1,6,3,2,5,4,10,9,8,7]=>010110111=>9
[1,6,3,2,10,5,4,9,8,7]=>010110111=>9
[1,10,6,3,2,5,4,9,8,7]=>010110111=>9
[1,6,3,2,10,9,5,4,8,7]=>010110111=>9
[1,10,6,3,2,9,5,4,8,7]=>010110111=>9
[3,1,2,6,5,4,10,9,8,7]=>010110111=>9
[3,1,2,10,6,5,4,9,8,7]=>010110111=>9
[3,1,6,2,5,4,10,9,8,7]=>010110111=>9
[3,1,6,2,10,5,4,9,8,7]=>010110111=>9
[3,1,10,6,2,5,4,9,8,7]=>010110111=>9
[3,1,6,2,10,9,5,4,8,7]=>010110111=>9
[3,1,10,6,2,9,5,4,8,7]=>010110111=>9
[6,3,1,2,5,4,10,9,8,7]=>010110111=>9
[6,3,1,2,10,5,4,9,8,7]=>010110111=>9
[6,3,1,10,2,5,4,9,8,7]=>010110111=>9
[10,6,3,1,2,5,4,9,8,7]=>010110111=>9
[6,3,1,2,10,9,5,4,8,7]=>010110111=>9
[6,3,1,10,2,9,5,4,8,7]=>010110111=>9
[10,6,3,1,2,9,5,4,8,7]=>010110111=>9
[3,1,6,5,2,4,10,9,8,7]=>010110111=>9
[3,1,6,5,2,10,4,9,8,7]=>010110111=>9
[3,1,10,6,5,2,4,9,8,7]=>010110111=>9
[3,1,6,5,2,10,9,4,8,7]=>010110111=>9
[3,1,10,6,5,2,9,4,8,7]=>010110111=>9
[6,3,1,5,2,4,10,9,8,7]=>010110111=>9
[6,3,1,5,2,10,4,9,8,7]=>010110111=>9
[6,3,1,10,5,2,4,9,8,7]=>010110111=>9
[10,6,3,1,5,2,4,9,8,7]=>010110111=>9
[6,3,1,5,2,10,9,4,8,7]=>010110111=>9
[6,3,1,10,5,2,9,4,8,7]=>010110111=>9
[10,6,3,1,5,2,9,4,8,7]=>010110111=>9
[6,3,1,10,9,5,2,4,8,7]=>010110111=>9
[10,6,3,1,9,5,2,4,8,7]=>010110111=>9
[3,1,6,5,2,10,9,8,4,7]=>010110111=>9
[3,1,10,6,5,2,9,8,4,7]=>010110111=>9
[6,3,1,5,2,10,9,8,4,7]=>010110111=>9
[6,3,1,10,5,2,9,8,4,7]=>010110111=>9
[10,6,3,1,5,2,9,8,4,7]=>010110111=>9
[6,3,1,10,9,5,2,8,4,7]=>010110111=>9
[1,5,2,8,6,4,3,7]=>0011101=>7
[7,4,8,6,3,1,2,5]=>0100111=>7
[3,6,8,4,1,2,5,7]=>0010001=>7
[4,7,8,5,2,1,3,6]=>1001001=>7
[6,1,5,2,8,7,3,4]=>0001111=>7
[8,1,3,5,7,4,2,6]=>0010011=>7
[3,1,8,5,4,7,2,6]=>0101011=>7
[3,1,6,4,8,5,2,7]=>0101101=>7
[5,1,3,4,2,6,8,7]=>0011001=>7
[3,2,6,4,1,5,7,8]=>0110100=>7
[5,4,2,1,8,3,6,7]=>1011001=>7
[4,2,5,1,8,7,3,6]=>0011011=>7
[6,8,2,7,1,4,3,5]=>0010011=>7
[1,8,4,7,3,2,5,6]=>0100011=>7
[8,6,3,1,5,7,2,4]=>0100111=>7
[5,8,3,1,4,7,6,2]=>0100111=>7
[1,2,5,4,7,8,3,6]=>0001001=>7
[1,8,3,2,6,4,7,5]=>0100111=>7
[4,7,1,2,5,3,6,8]=>0001010=>7
[6,8,4,1,3,7,2,5]=>0010011=>7
[3,2,6,1,7,8,5,4]=>0101101=>7
[7,6,4,1,8,3,5,2]=>0011111=>7
[5,4,1,6,7,3,2,8]=>0111010=>7
[7,4,1,6,5,8,2,3]=>0010111=>7
[8,5,4,1,6,7,3,2]=>0111011=>7
[5,2,1,6,4,7,8,3]=>1001101=>7
[1,6,2,3,5,7,8,4]=>0000101=>7
[1,3,4,8,5,2,6,7]=>0001001=>7
[8,2,4,6,1,7,3,5]=>0000111=>7
[1,5,7,2,3,6,8,4]=>0000011=>7
[7,3,1,4,2,5,8,6]=>0110011=>7
[3,2,5,7,8,4,1,6]=>0110001=>7
[4,3,5,1,6,2,7,8]=>0011100=>7
[8,6,3,5,4,1,2,7]=>0011101=>7
[8,3,2,6,1,5,4,7]=>0101101=>7
[8,5,1,7,4,6,2,3]=>0001111=>7
[4,8,1,7,6,3,5,2]=>0001111=>7
[8,5,1,7,4,3,6,2]=>0011111=>7
[8,5,7,6,2,1,3,4]=>1000111=>7
[5,4,8,3,1,7,2,6]=>0101011=>7
[5,1,4,8,3,2,7,6]=>0101011=>7
[4,8,1,7,6,5,2,3]=>0001111=>7
[4,3,8,7,2,6,1,5]=>0010111=>7
[3,8,7,2,6,4,1,5]=>0010111=>7
[8,2,5,7,4,3,6,1]=>0010111=>7
[3,8,7,4,6,1,2,5]=>0000111=>7
[8,7,6,3,5,4,1,2]=>0011111=>7
[2,8,4,7,6,1,5,3]=>0001111=>7
[2,5,4,8,3,1,7,6]=>0101011=>7
[5,4,8,2,1,3,7,6]=>1001011=>7
[3,8,7,2,6,1,5,4]=>0001111=>7
[1,8,4,7,6,3,5,2]=>0001111=>7
[1,8,3,7,6,5,2,4]=>0001111=>7
[1,4,3,8,7,2,6,5]=>0010111=>7
[7,1,5,4,6,2,3,8]=>0001110=>7
[7,4,1,3,6,2,5,8]=>0010110=>7
[5,4,3,1,7,6,2,8]=>0111110=>7
[4,1,3,7,5,6,2,8]=>0010110=>7
[2,6,8,3,1,7,4,5]=>0100011=>7
[2,5,4,8,1,7,3,6]=>0001011=>7
[7,5,2,4,8,3,6,1]=>0001111=>7
[7,8,2,6,3,5,4,1]=>0011101=>7
[7,2,6,5,8,3,4,1]=>0010111=>7
[5,6,3,1,4,2,7,8]=>0110100=>7
[2,6,5,3,4,8,7,1]=>0001111=>7
[2,6,1,5,3,4,7,8]=>0001100=>7
[3,6,2,7,4,5,1,8]=>0001110=>7
[3,4,7,8,5,1,6,2]=>0001101=>7
[3,6,2,4,7,8,5,1]=>0001101=>7
[5,3,6,4,8,7,2,1]=>1001111=>7
[1,5,4,8,6,2,7,3]=>0001111=>7
[4,5,2,7,6,3,8,1]=>0001111=>7
[5,8,3,1,2,7,6,4]=>0100111=>7
[7,6,2,5,3,8,4,1]=>0011111=>7
[8,4,6,1,3,7,2,5]=>0000111=>7
[4,8,5,1,2,3,6,7]=>0001001=>7
[8,6,2,4,5,1,3,7]=>0001101=>7
[4,5,1,3,8,6,2,7]=>0001101=>7
[7,4,2,3,6,8,5,1]=>0011011=>7
[2,1,6,7,4,8,3,5]=>1000011=>7
[7,8,1,3,6,4,5,2]=>0001101=>7
[7,2,6,8,4,5,3,1]=>0101011=>7
[7,3,6,8,5,1,4,2]=>0011011=>7
[7,5,8,1,6,2,4,3]=>0010111=>7
[5,7,8,1,6,3,2,4]=>0100101=>7
[7,2,6,8,5,1,4,3]=>0011011=>7
[7,5,2,4,8,3,1,6]=>0101011=>7
[7,8,3,1,6,2,5,4]=>0101101=>7
[6,7,8,4,3,1,5,2]=>0111001=>7
[7,8,3,6,4,1,5,2]=>0011101=>7
[7,3,8,1,6,4,5,2]=>0001111=>7
[1,7,5,8,2,4,6,3]=>0000111=>7
[7,5,2,8,1,4,6,3]=>0001111=>7
[3,7,8,2,6,5,1,4]=>0001101=>7
[3,7,8,2,1,6,4,5]=>1000101=>7
[7,8,1,6,3,5,4,2]=>0011101=>7
[6,7,8,2,5,4,3,1]=>0111001=>7
[6,7,8,3,1,5,4,2]=>0111001=>7
[7,8,1,6,2,5,4,3]=>0011101=>7
[5,6,1,4,3,8,2,7]=>0010101=>7
[5,1,6,8,3,4,7,2]=>0001011=>7
[7,1,6,8,5,4,3,2]=>0111011=>7
[5,6,8,1,2,3,7,4]=>0000011=>7
[4,8,1,2,7,6,5,3]=>0001111=>7
[4,6,1,2,8,5,7,3]=>0000111=>7
[6,4,7,3,5,2,1,8]=>1001110=>7
[5,7,8,4,2,1,3,6]=>1010001=>7
[6,4,8,3,5,2,1,7]=>1001101=>7
[3,1,6,2,5,7,8,4]=>0100101=>7
[2,1,6,3,5,7,4,8]=>1000110=>7
[1,6,4,5,2,7,3,8]=>0001110=>7
[1,4,7,3,2,5,6,8]=>0100010=>7
[6,2,1,4,5,3,7,8]=>1001100=>7
[6,2,1,5,7,3,4,8]=>1000110=>7
[1,2,3,4,5,8,9,6,7]=>00000001=>8
[1,2,3,4,7,9,5,8,6]=>00000011=>8
[1,2,3,6,9,4,7,8,5]=>00000011=>8
[1,2,4,6,8,3,7,5]=>0000011=>7
[1,2,5,9,3,6,7,8,4]=>00000011=>8
[1,3,5,8,2,6,7,4]=>0000011=>7
[1,4,9,2,5,6,7,8,3]=>00000011=>8
[3,9,1,4,5,6,7,8,2]=>00000011=>8
[6,1,3,7,2,8,5,4]=>0001111=>7
[6,4,5,8,3,7,1,2]=>0000111=>7
[8,1,4,3,6,7,2,5]=>0010011=>7
[2,6,8,4,3,1,7,5]=>0110011=>7
[8,1,5,2,6,4,3,7]=>0011101=>7
[1,6,7,4,2,8,3,5]=>0010011=>7
[1,7,8,4,3,6,2,5]=>0010101=>7
[1,5,8,7,4,3,2,6]=>0110011=>7
[1,4,7,2,3,6,8,5]=>0000011=>7
[3,1,2,6,7,8,5,4]=>0101001=>7
[3,8,1,6,4,2,7,5]=>0010111=>7
[1,6,3,4,7,8,2,5]=>0000101=>7
[3,1,5,7,6,2,8,4]=>0100111=>7
[6,3,1,4,2,7,8,5]=>0110101=>7
[2,4,3,7,6,1,8,5]=>0010111=>7
[3,1,7,6,5,2,8,4]=>0101111=>7
[1,4,7,6,8,3,2,5]=>0100011=>7
[7,2,1,5,6,3,8,4]=>1000111=>7
[4,3,1,8,6,2,7,5]=>0110111=>7
[3,1,5,2,8,7,6,4]=>0101111=>7
[1,2,8,4,3,7,6,5]=>0010111=>7
[2,6,1,8,7,4,3,5]=>0010111=>7
[7,5,1,8,3,2,6,4]=>0101111=>7
[4,7,6,3,1,8,2,5]=>0100111=>7
[5,3,1,8,6,2,4,7]=>0101101=>7
[5,1,8,6,3,2,4,7]=>0101101=>7
[1,5,4,2,8,6,3,7]=>0011101=>7
[1,4,2,8,5,3,7,6]=>0011011=>7
[8,3,1,6,4,2,5,7]=>0110101=>7
[1,7,4,8,3,5,2,6]=>0001011=>7
[7,3,2,4,8,5,1,6]=>0101011=>7
[5,7,8,1,4,2,6,3]=>0010101=>7
[2,6,3,8,1,7,5,4]=>0001111=>7
[2,5,1,8,6,3,7,4]=>0001111=>7
[2,8,6,4,1,7,3,5]=>0010111=>7
[1,8,4,2,7,5,3,6]=>0011011=>7
[6,5,1,7,2,8,4,3]=>0011111=>7
[2,8,1,7,5,3,6,4]=>0001111=>7
[1,2,8,7,6,4,3,5]=>0010111=>7
[4,1,7,8,6,3,5,2]=>0011101=>7
[1,6,5,7,8,4,2,3]=>0010101=>7
[4,1,8,7,6,3,5,2]=>0011111=>7
[4,8,2,6,3,5,1,7]=>0001101=>7
[4,3,5,7,1,6,2,8]=>0010110=>7
[4,1,8,5,3,6,2,7]=>0011101=>7
[6,4,2,5,3,1,7,8]=>0111100=>7
[3,1,5,8,2,7,4,6]=>0100011=>7
[6,4,1,5,3,2,7,8]=>0111100=>7
[6,2,1,5,4,3,7,8]=>1011100=>7
[3,1,8,5,4,6,2,7]=>0101101=>7
[6,1,8,4,5,3,2,7]=>0101101=>7
[4,5,2,7,1,6,3,8]=>0001110=>7
[4,3,5,7,1,6,8,2]=>0010011=>7
[4,1,8,5,3,6,7,2]=>0011011=>7
[6,3,8,4,5,1,7,2]=>0001111=>7
[3,1,6,8,5,7,4,2]=>0110011=>7
[2,6,1,8,5,7,4,3]=>0010111=>7
[6,3,8,4,5,2,1,7]=>1001101=>7
[6,5,8,7,2,3,4,1]=>0010111=>7
[6,3,8,4,5,2,7,1]=>0001111=>7
[2,1,6,8,5,3,7,4]=>1001011=>7
[3,2,6,8,5,4,7,1]=>0101011=>7
[4,1,8,5,2,6,3,7]=>0011101=>7
[3,1,6,8,5,2,4,7]=>0101001=>7
[6,5,8,7,4,1,2,3]=>0010111=>7
[6,5,8,7,4,2,1,3]=>1010111=>7
[6,5,8,7,2,4,1,3]=>0010111=>7
[6,2,8,4,5,7,1,3]=>0000111=>7
[6,1,8,4,5,7,3,2]=>0100111=>7
[10,1,11,2,3,4,5,6,7,8,9]=>0000000011=>10
[1,9,2,10,3,4,5,6,7,8]=>000000011=>9
[2,8,1,9,3,4,5,6,7]=>00000011=>8
[10,11,1,2,3,4,5,6,7,8,9]=>0000000001=>10
[4,2,7,3,5,8,6,1]=>0010111=>7
[3,6,2,4,8,5,7,1]=>0000111=>7
[2,7,5,4,3,8,6,1]=>0011111=>7
[3,5,1,8,4,7,6,2]=>0001111=>7
[3,6,1,8,5,4,7,2]=>0001111=>7
[2,4,8,3,7,6,5,1]=>0001111=>7
[3,6,8,2,5,7,4,1]=>0010011=>7
[2,6,8,5,4,3,7,1]=>0011011=>7
[3,6,8,2,5,4,7,1]=>0001011=>7
[4,6,8,3,2,5,7,1]=>0100011=>7
[4,6,2,8,3,5,7,1]=>0000111=>7
[3,6,1,8,5,7,4,2]=>0010111=>7
[5,2,6,8,4,1,7,3]=>0011011=>7
[4,6,3,8,7,2,5,1]=>0001111=>7
[3,5,8,2,7,4,6,1]=>0000111=>7
[2,6,8,5,7,4,3,1]=>0110011=>7
[2,4,8,7,6,3,5,1]=>0001111=>7
[7,5,1,6,3,2,8,4]=>0101111=>7
[2,7,6,3,4,1,8,5]=>0010111=>7
[5,7,6,3,1,2,8,4]=>0100111=>7
[4,8,2,1,7,5,6,3]=>1000111=>7
[6,3,8,5,7,2,4,1]=>0010111=>7
[1,5,4,8,6,2,3,7]=>0001101=>7
[8,2,1,7,5,3,6,4]=>1001111=>7
[8,2,1,6,7,3,5,4]=>1001011=>7
[6,2,8,1,7,5,3,4]=>0001111=>7
[3,5,1,8,7,6,2,4]=>0001111=>7
[1,4,2,3,6,5,8,7,9]=>00101010=>8
[1,3,4,2,6,5,8,7,9]=>00101010=>8
[1,4,2,3,6,5,8,7,10,9]=>001010101=>9
[2,3,1,4,6,5,8,7,9]=>01001010=>8
[4,6,1,2,3,5,8,7,9]=>00001010=>8
[3,4,5,1,6,2,8,7,9]=>00011010=>8
[3,1,2,4,6,5,8,7,9]=>01001010=>8
[1,3,4,2,6,5,8,7,10,9]=>001010101=>9
[5,6,2,7,8,1,3,4]=>0000101=>7
[4,7,3,5,6,1,2,8]=>0000110=>7
[4,7,8,3,5,6,1,2]=>0000101=>7
[2,1,3,4,5,6,9,7,8]=>10000001=>8
[1,2,3,4,5,6,7,8,10,9,11]=>0000000010=>10
[1,2,3,4,5,7,8,6,9]=>00000010=>8
[2,1,3,4,5,6,7,10,8,9]=>100000001=>9
[3,2,5,6,8,4,7,1]=>0100011=>7
[8,4,5,2,6,3,7,1]=>0001111=>7
[2,5,6,4,8,3,7,1]=>0000111=>7
[4,2,5,7,3,8,1,6]=>0010011=>7
[4,7,3,1,6,8,2,5]=>0100011=>7
[4,2,7,6,8,1,3,5]=>0010011=>7
[1,7,4,6,8,3,2,5]=>0100011=>7
[4,7,2,5,6,3,1,8]=>0100110=>7
[5,4,1,3,7,8,2,6]=>0011001=>7
[6,1,5,8,3,7,2,4]=>0000111=>7
[4,1,3,5,7,8,2,6]=>0010001=>7
[6,1,5,8,4,3,2,7]=>0110101=>7
[7,2,1,6,8,3,5,4]=>1001011=>7
[5,6,4,1,8,3,2,7]=>0110101=>7
[4,5,2,1,7,8,3,6]=>1001001=>7
[2,3,7,8,5,1,6,4]=>0001101=>7
[4,1,7,6,2,3,8,5]=>0010111=>7
[1,2,6,7,4,3,5,8]=>0010010=>7
[10,2,3,4,5,6,7,8,1,9]=>000000101=>9
[7,1,9,3,4,5,6,2,8]=>00001101=>8
[5,8,6,3,4,1,2,7]=>0010101=>7
[3,10,1,4,5,6,7,8,9,2]=>000000011=>9
[11,2,3,4,5,6,7,8,9,1,10]=>0000000101=>10
[8,1,10,3,4,5,6,7,2,9]=>000001101=>9
[7,2,1,9,4,5,6,3,8]=>10001101=>8
[6,9,7,3,4,5,1,2,8]=>00010101=>8
[6,2,3,1,8,5,4,7]=>0101101=>7
[5,1,2,6,4,8,3,7]=>0001101=>7
[8,6,2,3,7,5,1,4]=>0001111=>7
[3,8,1,2,9,5,6,7,4]=>00000111=>8
[8,7,9,1,2,3,4,5,6]=>00000011=>8
[3,11,1,4,5,6,7,8,9,10,2]=>0000000011=>10
[9,1,11,3,4,5,6,7,8,2,10]=>0000001101=>10
[8,2,1,10,4,5,6,7,3,9]=>100001101=>9
[7,10,8,3,4,5,6,1,2,9]=>000010101=>9
[7,2,3,1,9,5,6,4,8]=>01001101=>8
[6,1,2,7,4,5,9,3,8]=>00001101=>8
[5,9,6,3,4,1,7,2,8]=>00101101=>8
[4,5,2,8,6,1,3,7]=>0001101=>7
[3,4,8,2,5,6,1,7]=>0000101=>7
[3,8,1,4,2,9,6,7,5]=>00100111=>8
[9,7,2,3,8,5,6,1,4]=>00001111=>8
[3,9,1,2,10,5,6,7,8,4]=>000000111=>9
[2,8,3,6,7,4,5,1]=>0001011=>7
[6,8,2,7,5,3,1,4]=>0101011=>7
[6,3,2,5,8,4,1,7]=>0110101=>7
[5,6,7,2,8,4,1,3]=>0010011=>7
[5,8,3,6,4,1,7,2]=>0010111=>7
[4,3,8,5,2,7,1,6]=>0011011=>7
[2,8,4,5,1,6,3,7]=>0001101=>7
[3,2,5,8,4,7,1,6]=>0100011=>7
[2,5,8,1,3,4,7,6]=>0000011=>7
[3,5,1,8,7,4,2,6]=>0011011=>7
[4,6,1,3,8,2,7,5]=>0000111=>7
[8,6,1,2,3,5,7,4]=>0000111=>7
[5,1,7,8,3,2,4,6]=>0101001=>7
[3,1,7,6,2,8,5,4]=>0101111=>7
[5,3,6,7,4,2,8,1]=>0011011=>7
[5,4,2,8,6,7,3,1]=>0111011=>7
[6,1,4,2,8,7,3,5]=>0010111=>7
[3,7,2,6,8,4,5,1]=>0001011=>7
[4,6,5,2,7,8,3,1]=>0101101=>7
[5,4,6,2,7,8,3,1]=>0101101=>7
[5,1,8,6,4,2,7,3]=>0011111=>7
[6,2,1,8,5,7,4,3]=>1010111=>7
[6,5,7,8,1,3,4,2]=>0010101=>7
[2,1,7,6,8,4,5,3]=>1001011=>7
[6,4,7,2,8,3,1,5]=>0100111=>7
[6,3,2,7,8,4,5,1]=>0101101=>7
[4,7,3,1,5,2,8,6]=>0101011=>7
[2,1,4,7,5,3,8,6]=>1001011=>7
[4,7,6,3,1,5,8,2]=>0100111=>7
[2,4,7,3,8,5,1,6]=>0001011=>7
[2,7,3,1,8,5,4,6]=>0101011=>7
[2,8,3,1,7,4,5,6]=>0100011=>7
[7,6,8,9,1,2,3,4,5]=>00000101=>8
[5,4,6,7,8,9,1,2,3]=>00010001=>4
[1,2,6,8,3,4,7,5]=>0000011=>7
[1,5,6,8,3,2,4,7]=>0100001=>7
[1,8,2,7,3,5,6,4]=>0000111=>7
[1,7,4,8,6,5,3,2]=>0101111=>7
[1,6,3,5,7,4,8,2]=>0000111=>7
[1,5,4,7,2,8,3,6]=>0001011=>7
[3,8,5,2,6,1,7,4]=>0001111=>7
[3,7,4,8,5,2,6,1]=>0001111=>7
[8,1,2,6,5,3,4,7]=>0001101=>7
[3,7,4,2,5,6,1,8]=>0010110=>7
[6,8,7,1,3,4,2,5]=>0010011=>7
[3,4,2,8,6,7,5,1]=>0011011=>7
[3,7,8,6,1,4,2,5]=>0010101=>7
[3,6,1,5,2,7,8,4]=>0001101=>7
[7,1,6,8,3,4,2,5]=>0010011=>7
[8,1,2,6,3,5,7,4]=>0000111=>7
[6,2,8,4,7,1,3,5]=>0000111=>7
[3,7,8,4,2,5,6,1]=>0010101=>7
[3,4,2,8,5,1,6,7]=>0011001=>7
[1,4,3,2,5,6,7,8,9]=>01100000=>8
[6,8,2,7,5,4,1,3]=>0011011=>7
[1,8,4,3,7,6,2,5]=>0010111=>7
[4,3,8,7,1,2,6,5]=>0010111=>7
[1,8,4,5,7,6,2,3]=>0000111=>7
[4,3,8,5,7,1,6,2]=>0010111=>7
[6,3,4,8,7,2,1,5]=>1000111=>7
[5,3,8,4,7,1,6,2]=>0001111=>7
[5,2,8,7,1,4,6,3]=>0001111=>7
[3,2,8,7,1,6,4,5]=>0100111=>7
[2,7,8,3,1,6,4,5]=>0100101=>7
[2,7,8,5,1,4,6,3]=>0001101=>7
[3,5,8,7,4,1,6,2]=>0010111=>7
[7,4,6,8,3,5,1,2]=>0001011=>7
[2,7,8,1,3,6,4,5]=>0000101=>7
[2,7,8,1,5,4,6,3]=>0001101=>7
[2,7,8,1,4,5,6,3]=>0000101=>7
[3,6,7,8,2,4,1,5]=>0010001=>7
[4,5,7,8,6,3,1,2]=>0100101=>7
[5,4,6,8,7,3,1,2]=>0101011=>7
[4,5,8,6,7,1,3,2]=>0100011=>7
[5,7,6,8,2,1,3,4]=>1000011=>7
[3,7,6,8,2,4,1,5]=>0010011=>7
[5,4,7,8,6,3,1,2]=>0101101=>7
[4,5,7,8,2,6,1,3]=>0000101=>7
[4,5,6,8,7,3,1,2]=>0100011=>7
[6,1,5,3,8,4,7,2]=>0001111=>7
[1,8,6,2,5,4,7,3]=>0001111=>7
[3,8,4,1,7,5,2,6]=>0011011=>7
[6,2,7,4,8,3,1,5]=>0100111=>7
[2,8,5,1,4,3,7,6]=>0011011=>7
[6,8,2,7,5,1,4,3]=>0011011=>7
[8,3,4,5,6,1,7,2]=>0000111=>7
[5,3,6,4,7,2,1,8]=>1001110=>7
[4,2,6,5,7,3,1,8]=>0110110=>7
[5,4,6,2,7,3,1,8]=>0101110=>7
[3,2,6,5,8,4,1,7]=>0110101=>7
[3,2,6,5,8,7,1,4]=>0100111=>7
[4,2,6,5,8,7,1,3]=>0010111=>7
[5,2,6,4,8,7,1,3]=>0001111=>7
[5,4,7,6,8,2,1,3]=>1001011=>7
[6,4,7,5,8,3,1,2]=>0100111=>7
[4,2,7,5,8,6,1,3]=>0010111=>7
[3,2,7,5,8,4,1,6]=>0110011=>7
[4,3,7,2,8,5,1,6]=>0011011=>7
[4,3,6,2,8,5,1,7]=>0011101=>7
[4,3,7,6,8,5,1,2]=>0011011=>7
[5,3,7,6,8,2,1,4]=>1001011=>7
[5,3,7,2,8,6,1,4]=>0001111=>7
[3,2,6,4,8,7,1,5]=>0100111=>7
[4,2,7,3,8,6,1,5]=>0010111=>7
[5,2,7,6,8,3,1,4]=>0101011=>7
[3,2,7,6,8,4,1,5]=>0110011=>7
[3,2,7,6,8,5,1,4]=>0101011=>7
[6,2,7,5,8,4,1,3]=>0010111=>7
[4,8,1,7,3,2,5,6]=>0100011=>7
[3,7,4,8,2,1,5,6]=>1000011=>7
[3,7,8,2,5,4,6,1]=>0001101=>7
[4,7,5,8,3,2,6,1]=>0100111=>7
[6,7,1,3,2,5,8,4]=>0100011=>7
[8,7,6,4,1,5,3,2]=>0111111=>7
[3,8,5,2,6,4,7,1]=>0001111=>7
[7,2,5,3,4,8,1,6]=>0001011=>7
[4,2,5,3,7,8,6,1]=>0011101=>7
[5,3,6,2,4,1,8,7]=>0011101=>7
[7,8,6,2,3,5,4,1]=>0011101=>7
[5,8,2,6,3,7,4,1]=>0010111=>7
[4,8,2,3,7,5,6,1]=>0000111=>7
[7,5,6,2,3,8,4,1]=>0010111=>7
[2,7,5,6,4,3,8,1]=>0010111=>7
[2,8,4,3,7,5,6,1]=>0010111=>7
[3,8,5,7,6,4,2,1]=>1010111=>7
[7,8,6,3,5,4,2,1]=>1011101=>7
[2,7,6,3,8,5,4,1]=>0011111=>7
[7,4,2,5,6,3,8,1]=>0010111=>7
[6,2,7,5,3,8,4,1]=>0011111=>7
[2,4,8,3,7,5,6,1]=>0000111=>7
[4,8,3,7,5,6,2,1]=>1000111=>7
[6,2,5,8,3,7,4,1]=>0010111=>7
[4,7,3,8,2,5,6,1]=>0000111=>7
[8,2,5,6,3,7,4,1]=>0010111=>7
[4,5,3,7,1,2,6,8]=>0001010=>7
[8,5,6,4,1,3,2,7]=>0110101=>7
[6,7,2,8,4,3,1,5]=>0110011=>7
[6,7,3,2,8,4,1,5]=>0110011=>7
[4,7,8,3,1,5,2,6]=>0101001=>7
[4,5,8,1,3,2,6,7]=>0100001=>7
[4,7,8,1,6,3,2,5]=>0100101=>7
[4,7,1,3,8,6,5,2]=>0001111=>7
[2,6,7,4,3,8,1,5]=>0010011=>7
[3,7,6,4,5,8,1,2]=>0000111=>7
[5,7,2,8,3,4,6,1]=>0000111=>7
[3,7,2,8,5,6,4,1]=>0010111=>7
[3,1,5,8,6,4,7,2]=>0100111=>7
[2,3,8,6,4,5,7,1]=>0000111=>7
[2,3,8,6,4,7,5,1]=>0001111=>7
[3,6,2,8,7,4,5,1]=>0001111=>7
[2,5,6,1,8,7,3,4]=>0000111=>7
[3,6,2,8,4,7,5,1]=>0001111=>7
[2,3,8,5,7,4,6,1]=>0000111=>7
[2,3,8,6,7,5,4,1]=>0011011=>7
[8,5,6,3,1,4,2,7]=>0110101=>7
[8,3,5,1,6,4,2,7]=>0011101=>7
[5,7,8,3,4,6,2,1]=>1000101=>7
[3,5,1,8,6,4,2,7]=>0011101=>7
[7,5,3,8,6,4,2,1]=>1011111=>7
[5,1,3,8,6,4,2,7]=>0011101=>7
[1,5,8,3,6,4,2,7]=>0010101=>7
[7,5,8,3,6,4,2,1]=>1010111=>7
[1,5,8,6,3,4,2,7]=>0010101=>7
[3,7,5,8,2,6,4,1]=>0010111=>7
[5,7,8,1,4,6,2,3]=>0000101=>7
[1,3,7,8,4,2,6,5]=>0010101=>7
[6,1,2,5,3,4,7,8]=>0001100=>7
[5,1,4,6,7,3,2,8]=>0101010=>7
[1,4,6,5,7,2,3,8]=>0000110=>7
[6,7,3,5,4,1,2,8]=>0011010=>7
[8,1,6,7,3,5,4,2]=>0011011=>7
[7,2,4,1,6,5,3,8]=>0011110=>7
[4,2,5,1,3,7,6,8]=>0011010=>7
[1,3,2,6,8,4,7,5]=>0100011=>7
[8,2,5,4,1,6,7,3]=>0011011=>7
[8,1,7,5,4,2,6,3]=>0011111=>7
[1,2,6,4,7,3,5,8]=>0000110=>7
[1,6,4,3,7,2,5,8]=>0010110=>7
[5,7,8,3,2,6,1,4]=>0100101=>7
[2,3,4,5,6,9,8,7,1]=>00000111=>8
[2,3,4,5,8,7,9,6,1]=>00001011=>8
[2,3,6,5,7,8,9,4,1]=>00101001=>8
[2,3,4,5,6,7,8,9,11,10,1]=>0000000011=>10
[2,3,4,5,6,7,10,9,8,1]=>000000111=>9
[2,3,4,5,8,9,7,6,1]=>00001101=>8
[2,3,4,5,6,9,8,10,7,1]=>000001011=>9
[8,4,5,1,3,7,6,2]=>0001111=>7
[8,6,4,3,7,1,5,2]=>0011111=>7
[7,5,6,8,1,3,2,4]=>0100011=>7
[6,8,7,5,4,2,3,1]=>0111011=>7
[3,4,5,6,7,1,2,8,9]=>00000100=>8
[2,7,3,1,4,8,6,5]=>0100111=>7
[3,1,6,5,7,8,4,2]=>0110101=>7
[4,7,1,3,2,5,6,8]=>0100010=>7
[4,1,6,7,3,2,8,5]=>0110011=>7
[1,7,2,5,6,8,4,3]=>0010011=>7
[4,7,6,8,3,1,5,2]=>0101011=>7
[5,4,8,6,1,7,3,2]=>0101111=>7
[3,5,4,7,1,8,6,2]=>0001111=>7
[7,1,5,4,2,3,6,8]=>0011010=>7
[7,1,3,6,4,5,2,8]=>0001110=>7
[6,1,3,8,4,5,2,7]=>0001101=>7
[2,1,8,7,3,6,5,4]=>1001111=>7
[5,8,6,3,1,2,7,4]=>0100111=>7
[5,8,2,7,1,3,6,4]=>0000111=>7
[2,6,5,4,1,3,7,8]=>0011100=>7
[4,1,5,7,6,3,2,8]=>0110110=>7
[6,3,4,2,1,8,7,5]=>1010111=>7
[4,5,1,7,6,3,2,8]=>0101110=>7
[5,4,2,1,8,7,3,6]=>1011011=>7
[6,2,1,5,4,3,8,7]=>1011101=>7
[1,4,2,6,7,8,5,3]=>0011001=>7
[1,4,2,5,6,8,7,3]=>0010011=>7
[2,5,3,6,7,8,4,1]=>0011001=>7
[1,8,6,2,4,3,5,7]=>0010101=>7
[3,2,4,5,7,8,1,6]=>0100001=>7
[2,3,4,7,5,8,6,1]=>0000111=>7
[6,5,2,8,7,4,3,1]=>0111111=>7
[7,8,5,4,2,1,6,3]=>1011101=>7
[7,5,2,8,6,4,3,1]=>0111111=>7
[7,8,3,2,6,5,4,1]=>0111101=>7
[8,2,6,3,7,5,1,4]=>0001111=>7
[8,6,7,2,5,3,1,4]=>0101011=>7
[1,6,2,7,8,4,5,3]=>0001101=>7
[8,6,2,7,5,4,1,3]=>0011111=>7
[1,6,8,2,7,5,3,4]=>0001011=>7
[7,6,3,2,8,1,5,4]=>0101111=>7
[5,1,7,4,3,8,6,2]=>0011111=>7
[8,6,3,7,2,4,1,5]=>0010111=>7
[1,7,8,6,4,2,3,5]=>0010101=>7
[7,2,8,6,4,1,3,5]=>0010111=>7
[1,5,3,7,4,2,6,8]=>0011010=>7
[1,7,6,4,3,2,8,5]=>0110111=>7
[1,7,6,3,4,2,5,8]=>0010110=>7
[1,2,7,4,3,8,6,5]=>0010111=>7
[1,5,4,2,3,8,7,6]=>0011011=>7
[1,5,3,2,4,6,7,8]=>0101000=>7
[1,5,4,2,3,7,8,6]=>0011001=>7
[1,2,7,6,3,5,8,4]=>0000111=>7
[8,1,3,2,6,5,7,4]=>0100111=>7
[3,2,7,5,6,1,8,4]=>0100111=>7
[7,5,6,1,3,2,8,4]=>0100111=>7
[7,4,5,1,6,3,8,2]=>0001111=>7
[7,5,6,1,4,3,8,2]=>0010111=>7
[3,2,6,4,8,5,7,1]=>0100111=>7
[8,1,4,3,5,2,7,6]=>0011011=>7
[7,2,8,1,6,3,5,4]=>0001111=>7
[10,5,9,4,8,3,7,2,6,1]=>000011111=>9
[1,3,5,2,4,7,6,9,8,10]=>000101010=>9
[2,3,5,1,4,7,6,9,8]=>00010101=>8
[3,4,1,5,2,7,6,9,8]=>00110101=>8
[4,1,2,5,3,7,6,9,8]=>00110101=>8
[1,4,2,5,3,7,6,9,8,10]=>001101010=>9
[8,3,6,5,4,1,2,7]=>0011101=>7
[1,7,5,8,4,6,3,2]=>0100111=>7
[6,5,7,1,2,8,3,4]=>0000111=>7
[7,1,4,2,3,8,6,5]=>0010111=>7
[3,7,5,6,8,1,2,4]=>0000011=>7
[8,1,2,5,3,7,6,4]=>0001111=>7
[8,6,5,2,4,1,7,3]=>0011111=>7
[3,6,5,2,4,1,7,8]=>0011100=>7
[6,8,5,2,4,3,1,7]=>0111001=>7
[3,4,2,8,6,7,1,5]=>0010011=>7
[4,6,7,2,5,1,8,3]=>0001011=>7
[3,6,2,5,1,7,8,4]=>0001101=>7
[3,4,2,7,8,1,5,6]=>0010001=>7
[3,8,5,2,4,7,1,6]=>0001011=>7
[10,3,1,5,6,7,8,9,2,4]=>010000011=>9
[10,4,1,5,6,7,8,9,2,3]=>001000011=>9
[7,1,4,2,5,8,6,3]=>0010111=>7
[7,8,5,1,2,4,3,6]=>0011001=>7
[5,8,1,4,3,6,7,2]=>0010011=>7
[7,2,3,8,6,4,1,5]=>0010111=>7
[5,2,3,8,7,4,1,6]=>0011011=>7
[5,7,6,3,1,2,4,8]=>0100110=>7
[4,2,6,8,1,3,5,7,9]=>00100010=>4
[4,6,2,8,1,3,5,7,9]=>00001010=>8
[4,6,8,2,1,3,5,7,9]=>10000010=>8
[4,6,2,7,8,1,3,5]=>0000101=>7
[4,6,8,2,9,1,3,5,7]=>00000011=>8
[4,6,2,7,9,1,3,5,8]=>00001001=>8
[6,2,3,7,1,4,5,8]=>0000110=>7
[4,2,5,7,9,1,3,6,8]=>00100001=>8
[2,3,5,7,9,1,4,6,8]=>00000001=>8
[4,2,6,8,10,1,3,5,7,9]=>001000001=>9
[6,4,2,8,1,3,5,7,9]=>00101010=>8
[4,6,2,8,10,1,3,5,7,9]=>000010001=>9
[8,4,6,2,1,3,5,7,9]=>10001010=>8
[4,6,8,2,10,1,3,5,7,9]=>000000101=>9
[4,6,8,9,2,1,3,5,7]=>10000001=>8
[4,6,8,10,2,1,3,5,7,9]=>100000001=>9
[4,6,7,8,2,1,3,5]=>1000001=>7
[4,6,2,7,1,3,5,8,9]=>00001100=>8
[4,6,8,2,9,1,3,5,7,10]=>000000110=>9
[4,8,2,5,9,1,3,6,7]=>00000011=>8
[4,6,2,7,9,1,3,5,8,10]=>000010010=>9
[6,2,3,7,9,1,4,5,8]=>00001001=>8
[4,2,5,7,9,1,3,6,8,10]=>001000010=>9
[1,4,5,7,9,2,3,6,8]=>00000001=>8
[2,3,5,7,9,1,4,6,8,10]=>000000010=>9
[8,6,3,2,1,7,5,4]=>1101111=>7
[5,3,4,1,7,8,2,6]=>0011001=>7
[8,6,4,9,7,5,3,2,1]=>11011111=>8
[7,8,5,9,6,4,3,2,1]=>11101011=>8
[8,6,4,2,9,7,5,3,1]=>01111111=>8
[7,8,5,3,9,6,4,2,1]=>10111011=>4
[7,4,8,5,9,6,3,2,1]=>11001111=>8
[6,7,8,4,9,5,3,2,1]=>11010011=>8
[7,8,5,3,1,9,6,4,2]=>01111011=>8
[7,4,8,5,2,9,6,3,1]=>01011111=>8
[6,7,8,4,2,9,5,3,1]=>01110011=>8
[6,7,3,8,4,9,5,2,1]=>10010111=>8
[5,6,7,8,3,9,4,2,1]=>10100011=>8
[6,7,3,8,4,1,9,5,2]=>00110111=>8
[5,6,7,8,3,1,9,4,2]=>01100011=>8
[6,2,7,3,8,4,9,5,1]=>00011111=>8
[5,6,7,2,8,3,9,4,1]=>00100111=>8
[4,5,6,7,8,2,9,3,1]=>01000011=>8
[5,6,1,7,2,8,3,9,4]=>00001111=>8
[4,5,6,7,1,8,2,9,3]=>00000111=>8
[9,7,10,8,6,5,4,3,2,1]=>111110111=>9
[9,7,5,10,8,6,4,3,2,1]=>111011111=>9
[8,9,6,10,7,5,4,3,2,1]=>111101011=>9
[9,7,5,3,10,8,6,4,2,1]=>101111111=>9
[8,9,6,4,10,7,5,3,2,1]=>110111011=>9
[8,5,9,6,10,7,4,3,2,1]=>111001111=>9
[7,8,9,5,10,6,4,3,2,1]=>111010011=>9
[8,9,6,4,2,10,7,5,3,1]=>011111011=>9
[8,5,9,6,3,10,7,4,2,1]=>101011111=>9
[7,8,9,5,3,10,6,4,2,1]=>101110011=>9
[7,8,4,9,5,10,6,3,2,1]=>110010111=>9
[6,7,8,9,4,10,5,3,2,1]=>110100011=>9
[8,5,9,6,3,1,10,7,4,2]=>011011111=>9
[7,8,9,5,3,1,10,6,4,2]=>011110011=>9
[8,5,2,9,6,3,10,7,4,1]=>001111111=>9
[6,7,8,9,4,2,10,5,3,1]=>011100011=>9
[7,3,8,4,9,5,10,6,2,1]=>100011111=>9
[6,7,8,3,9,4,10,5,2,1]=>100100111=>9
[5,6,7,8,9,3,10,4,2,1]=>101000011=>9
[7,8,4,1,9,5,2,10,6,3]=>001110111=>9
[7,3,8,4,9,5,1,10,6,2]=>000111111=>9
[6,7,8,3,9,4,1,10,5,2]=>001100111=>9
[5,6,7,8,9,3,1,10,4,2]=>011000011=>9
[6,7,2,8,3,9,4,10,5,1]=>000101111=>9
[5,6,7,8,2,9,3,10,4,1]=>001000111=>9
[4,5,6,7,8,9,2,10,3,1]=>010000011=>9
[5,6,7,1,8,2,9,3,10,4]=>000001111=>9
[4,5,6,7,8,1,9,2,10,3]=>000000111=>9
[6,1,3,4,2,5,8,7]=>0010101=>7
[5,1,3,6,2,4,8,7]=>0001101=>7
[1,5,7,6,8,2,4,3]=>0010011=>7
[5,7,1,3,8,4,2,6]=>0010011=>7
[2,6,1,4,3,7,8,5]=>0010101=>7
[1,6,2,4,3,5,8,7]=>0010101=>7
[5,3,7,6,1,8,4,2]=>0011111=>7
[1,5,6,3,7,8,4,2]=>0010101=>7
[1,5,7,6,3,8,4,2]=>0010111=>7
[7,3,5,6,1,8,4,2]=>0010111=>7
[7,3,6,1,5,8,4,2]=>0010111=>7
[1,6,3,7,8,5,4,2]=>0011101=>7
[1,7,8,6,3,5,4,2]=>0011101=>7
[3,7,5,6,1,8,4,2]=>0010111=>7
[5,6,2,8,4,7,3,1]=>0100111=>7
[5,7,6,3,4,8,1,2]=>0000111=>7
[3,7,5,4,6,1,2,8]=>0001110=>7
[5,3,4,7,6,8,1,2]=>0001011=>7
[5,3,7,4,6,1,2,8]=>0001110=>7
[7,3,5,4,6,1,2,8]=>0001110=>7
[7,8,3,5,4,1,2,6]=>0011001=>7
[7,3,5,4,1,2,6,8]=>0011010=>7
[5,7,6,3,4,1,2,8]=>0010110=>7
[3,5,4,1,2,7,6,8]=>0011010=>7
[5,7,6,1,3,2,4,8]=>0100110=>7
[5,3,4,1,2,7,6,8]=>0011010=>7
[7,8,3,1,2,5,4,6]=>0101001=>7
[7,8,5,1,3,2,4,6]=>0101001=>7
[7,5,6,1,3,2,4,8]=>0100110=>7
[7,5,1,3,8,6,2,4]=>0001111=>7
[7,1,3,8,2,5,4,6]=>0001011=>7
[3,1,5,4,7,2,6,8]=>0101010=>7
[5,7,6,1,3,8,2,4]=>0000111=>7
[5,7,6,3,8,1,4,2]=>0010111=>7
[5,1,3,7,6,2,4,8]=>0001110=>7
[1,6,3,7,2,4,5,8]=>0000110=>7
[5,3,2,4,8,1,7,6]=>0101011=>7
[6,8,5,3,2,7,1,4]=>0101011=>7
[8,3,7,2,6,5,1,4]=>0001111=>7
[4,6,2,7,1,3,8,5]=>0000111=>7
[3,4,6,5,1,8,7,2]=>0001111=>7
[8,7,1,5,3,2,6,4]=>0101111=>7
[3,5,1,4,7,2,8,6]=>0001011=>7
[5,1,4,8,7,3,2,6]=>0101011=>7
[6,1,3,4,2,7,8,5]=>0010101=>7
[6,5,2,3,7,8,1,4]=>0001101=>7
[1,5,3,8,4,2,7,6]=>0011011=>7
[5,4,2,1,8,3,7,6]=>1011011=>7
[3,1,7,4,2,6,8,5]=>0110011=>7
[7,4,8,2,3,5,1,6]=>0001011=>7
[8,4,1,3,2,6,7,5]=>0110011=>7
[8,1,7,3,2,5,6,4]=>0100111=>7
[8,6,5,2,7,3,1,4]=>0101111=>7
[3,1,6,8,4,2,7,5]=>0110011=>7
[1,5,2,8,3,6,7,4]=>0001011=>7
[2,3,4,5,9,6,7,8,1]=>00000011=>8
[2,3,4,9,5,6,7,8,1]=>00000011=>8
[2,3,9,4,5,6,7,8,1]=>00000011=>8
[2,3,4,5,6,7,10,8,9,1]=>000000011=>9
[2,3,4,5,9,7,6,8,1]=>00000111=>8
[2,3,4,5,6,10,7,8,9,1]=>000000011=>9
[2,3,4,9,6,5,7,8,1]=>00001011=>8
[2,3,9,5,4,6,7,8,1]=>00010011=>8
[2,3,4,10,5,6,7,8,9,1]=>000000011=>9
[2,9,4,3,5,6,7,8,1]=>00100011=>8
[2,3,10,4,5,6,7,8,9,1]=>000000011=>9
[2,3,4,5,9,7,8,6,1]=>00001011=>8
[5,6,2,3,7,4,1,8]=>0010110=>7
[6,2,4,7,3,5,1,8]=>0001110=>7
[1,4,8,5,3,6,7,2]=>0001011=>7
[2,5,6,3,1,8,4,7]=>0100101=>7
[4,5,1,2,7,8,6,3]=>0001101=>7
[4,8,5,1,2,6,7,3]=>0001011=>7
[4,6,7,5,1,2,8,3]=>0001011=>7
[7,2,8,1,4,5,3,6]=>0001011=>7
[6,1,4,7,3,8,2,5]=>0000111=>7
[7,1,6,3,4,8,2,5]=>0000111=>7
[2,8,4,6,3,1,5,7]=>0100101=>7
[8,2,6,3,5,1,4,7]=>0001101=>7
[3,7,4,1,5,8,2,6]=>0010011=>7
[3,8,4,1,7,2,5,6]=>0010011=>7
[6,7,5,1,3,8,2,4]=>0001011=>7
[8,5,1,3,6,7,2,4]=>0001011=>7
[7,8,6,2,4,1,3,5]=>0010101=>7
[8,2,4,1,3,6,7,5]=>0010011=>7
[8,1,3,6,2,5,7,4]=>0000111=>7
[1,5,6,3,8,4,7,2]=>0000111=>7
[5,6,1,3,7,2,8,4]=>0000111=>7
[5,6,1,8,2,3,7,4]=>0000111=>7
[5,6,1,2,8,4,7,3]=>0000111=>7
[1,7,8,6,3,4,2,5]=>0010101=>7
[1,7,3,8,6,4,2,5]=>0010111=>7
[5,7,1,8,6,4,2,3]=>0010111=>7
[7,8,1,5,6,4,2,3]=>0010101=>7
[7,1,8,5,6,4,2,3]=>0010111=>7
[7,1,5,8,6,4,2,3]=>0010111=>7
[8,1,3,5,6,4,2,7]=>0010101=>7
[1,3,8,5,6,4,2,7]=>0010101=>7
[1,3,5,8,6,4,2,7]=>0010101=>7
[1,5,7,8,6,4,2,3]=>0010101=>7
[2,1,4,3,6,5,9,8,10,7]=>101010011=>9
[2,1,4,3,7,6,8,5,10,9]=>101001101=>9
[2,1,4,3,7,6,9,8,10,5]=>101001011=>9
[2,1,4,3,8,7,9,6,10,5]=>101000111=>9
[2,1,5,4,6,3,8,7,10,9]=>100110101=>9
[2,1,5,4,6,3,9,8,10,7]=>100110011=>9
[2,1,5,4,7,6,8,3,10,9]=>100101101=>9
[2,1,5,4,7,6,9,8,10,3]=>100101011=>9
[2,1,5,4,8,7,9,6,10,3]=>100100111=>9
[2,1,6,5,7,4,8,3,10,9]=>100011101=>9
[2,1,6,5,7,4,9,8,10,3]=>100011011=>9
[2,1,6,5,8,7,9,4,10,3]=>100010111=>9
[2,1,7,6,8,5,9,4,10,3]=>100001111=>9
[3,2,4,1,6,5,8,7,10,9]=>011010101=>9
[3,2,4,1,6,5,9,8,10,7]=>011010011=>9
[3,2,4,1,7,6,8,5,10,9]=>011001101=>9
[3,2,4,1,7,6,9,8,10,5]=>011001011=>9
[3,2,4,1,8,7,9,6,10,5]=>011000111=>9
[3,2,5,4,6,1,8,7,10,9]=>010110101=>9
[3,2,5,4,6,1,9,8,10,7]=>010110011=>9
[3,2,5,4,7,6,8,1,10,9]=>010101101=>9
[3,2,5,4,7,6,9,8,10,1]=>010101011=>9
[3,2,5,4,8,7,9,6,10,1]=>010100111=>9
[3,2,6,5,7,4,8,1,10,9]=>010011101=>9
[3,2,6,5,7,4,9,8,10,1]=>010011011=>9
[3,2,6,5,8,7,9,4,10,1]=>010010111=>9
[3,2,7,6,8,5,9,4,10,1]=>010001111=>9
[4,3,5,2,6,1,8,7,10,9]=>001110101=>9
[4,3,5,2,6,1,9,8,10,7]=>001110011=>9
[4,3,5,2,7,6,8,1,10,9]=>001101101=>9
[4,3,5,2,7,6,9,8,10,1]=>001101011=>9
[4,3,5,2,8,7,9,6,10,1]=>001100111=>9
[4,3,6,5,7,2,8,1,10,9]=>001011101=>9
[4,3,6,5,7,2,9,8,10,1]=>001011011=>9
[4,3,6,5,8,7,9,2,10,1]=>001010111=>9
[4,3,7,6,8,5,9,2,10,1]=>001001111=>9
[5,4,6,3,7,2,8,1,10,9]=>000111101=>9
[5,4,6,3,7,2,9,8,10,1]=>000111011=>9
[5,4,6,3,8,7,9,2,10,1]=>000110111=>9
[5,4,7,6,8,3,9,2,10,1]=>000101111=>9
[1,8,2,6,5,3,4,7]=>0001101=>7
[8,6,1,5,2,3,4,7]=>0001101=>7
[8,5,1,6,2,3,4,7]=>0001101=>7
[7,6,1,2,3,8,4,5]=>0000111=>7
[2,7,8,4,1,3,5,6]=>0010001=>7
[6,8,1,2,3,7,4,5]=>0000011=>7
[8,1,3,5,6,7,2,4]=>0000011=>7
[8,1,2,5,3,4,7,6]=>0001011=>7
[5,2,7,3,4,8,1,6]=>0001011=>7
[8,6,4,7,3,5,2,1]=>1001111=>7
[4,2,1,6,5,7,8,3]=>1010101=>7
[2,7,5,4,1,3,6,8]=>0011010=>7
[2,7,4,6,5,1,8,3]=>0001111=>7
[6,8,7,5,2,1,4,3]=>1011011=>7
[2,8,6,3,5,1,4,7]=>0001101=>7
[1,2,8,6,4,5,3,7]=>0001101=>7
[1,5,8,7,6,3,4,2]=>0010111=>7
[1,4,7,8,5,6,3,2]=>0100101=>7
[1,6,4,8,5,7,3,2]=>0100111=>7
[1,6,8,5,2,7,3,4]=>0001011=>7
[1,6,8,5,4,2,3,7]=>0011001=>7
[1,3,4,8,5,2,7,6]=>0001011=>7
[2,1,8,3,4,5,6,7,9]=>10000010=>8
[3,5,8,7,6,2,4,1]=>0010111=>7
[6,5,3,7,4,1,8,2]=>0011111=>7
[3,1,5,4,6,8,7,2]=>0101011=>7
[3,1,6,4,2,5,8,7]=>0110101=>7
[3,6,1,4,5,7,8,2]=>0000101=>7
[1,8,4,7,2,3,6,5]=>0000111=>7
[5,7,8,2,4,6,1,3]=>0000101=>7
[5,4,2,3,6,8,1,7]=>0011001=>7
[3,8,1,6,4,2,5,7]=>0010101=>7
[7,3,2,1,8,6,4,5]=>1100111=>7
[8,7,2,4,1,3,6,5]=>0010111=>7
[8,2,6,3,5,7,1,4]=>0000111=>7
[1,8,3,7,4,6,5,2]=>0001111=>7
[8,2,3,1,7,4,5,6]=>0100011=>7
[3,1,7,8,6,2,5,4]=>0101101=>7
[4,8,1,2,6,5,7,3]=>0000111=>7
[5,6,1,8,3,7,2,4]=>0000111=>7
[2,8,1,6,5,3,7,4]=>0001111=>7
[2,1,5,7,6,3,8,4]=>1000111=>7
[4,1,2,5,7,6,8,3]=>0010011=>7
[4,3,5,1,7,8,6,2]=>0011101=>7
[1,8,5,2,3,4,7,6]=>0001011=>7
[1,9,6,2,3,4,5,8,7]=>00001011=>8
[1,5,8,2,3,4,7,6]=>0000011=>7
[1,2,7,8,4,5,6,3]=>0000101=>7
[1,2,3,4,5,6,9,7,10,8]=>000000011=>9
[2,3,4,5,6,9,10,1,7,8]=>000000001=>9
[4,3,8,7,6,2,5,1]=>0011111=>7
[5,4,8,2,7,6,3,1]=>0101111=>7
[2,3,6,1,7,5,8,4]=>0000111=>7
[4,6,5,2,1,7,8,3]=>1001101=>7
[4,6,1,7,5,8,3,2]=>0100111=>7
[4,1,5,7,6,8,3,2]=>0110011=>7
[3,5,6,2,1,4,7,8]=>1000100=>7
[4,3,6,5,1,7,8,2]=>0011101=>7
[4,6,5,3,1,7,8,2]=>0101101=>7
[1,2,3,4,5,7,6,8,9,10]=>000001000=>9
[1,2,3,5,4,6,7,8,9,10]=>000100000=>9
[1,2,3,5,4,7,6,9,8,10]=>000101010=>9
[5,8,1,4,2,3,6,7]=>0010001=>7
[4,5,8,2,3,1,6,7]=>0100001=>7
[3,5,4,8,1,7,2,6]=>0001011=>7
[5,3,6,8,1,4,7,2]=>0001011=>7
[3,5,1,8,6,4,7,2]=>0001111=>7
[4,7,2,8,3,1,6,5]=>0100111=>7
[1,2,5,6,8,3,7,4]=>0000011=>7
[5,3,8,4,6,2,7,1]=>0001111=>7
[7,4,8,1,5,2,6,3]=>0001111=>7
[8,3,2,1,6,5,7,4]=>1100111=>7
[4,1,5,6,8,7,2,3]=>0010011=>7
[1,2,5,6,8,4,7,3]=>0000011=>7
[1,5,6,8,4,7,2,3]=>0000011=>7
[5,6,8,1,2,4,7,3]=>0000011=>7
[6,8,1,4,5,7,2,3]=>0000011=>7
[4,3,5,1,8,6,7,2]=>0011011=>7
[1,3,5,6,8,4,7,2]=>0000011=>7
[5,6,8,2,3,4,7,1]=>0000011=>7
[9,8,7,4,5,6,3,2,1]=>11001111=>8
[6,5,1,2,4,8,7,3]=>0001111=>7
[5,8,7,2,1,3,6,4]=>1000111=>7
[5,1,7,2,8,6,3,4]=>0001111=>7
[6,1,5,3,4,8,7,2]=>0001111=>7
[5,8,6,3,2,1,4,7]=>1100101=>7
[8,7,1,6,3,5,4,2]=>0011111=>7
[3,2,1,7,8,6,4,5]=>1100101=>7
[8,6,7,1,2,5,3,4]=>0001011=>7
[1,5,6,4,2,8,7,3]=>0010111=>7
[7,5,1,4,8,2,3,6]=>0001011=>7
[3,2,8,1,7,5,6,4]=>0100111=>7
[8,4,3,1,7,5,6,2]=>0110111=>7
[6,1,7,8,4,2,3,5]=>0010101=>7
[7,4,3,1,8,5,2,6]=>0111011=>7
[7,8,1,6,3,4,5,2]=>0001101=>7
[6,8,1,7,3,4,2,5]=>0010011=>7
[1,5,6,7,8,9,2,3,4]=>00000001=>8
[1,8,9,10,2,3,4,5,6,7]=>000000001=>9
[1,7,2,8,9,3,4,5,6]=>00000101=>8
[1,6,2,7,8,9,3,4,5]=>00001001=>8
[1,5,2,6,7,8,9,3,4]=>00010001=>4
[1,5,6,7,8,9,10,2,3,4]=>000000001=>9
[3,4,2,1,5,6,7,8,9]=>10100000=>8
[4,3,1,2,5,6,7,8,9]=>01100000=>8
[3,4,2,1,5,6,7,8,9,10]=>101000000=>9
[4,5,2,1,3,6,7,8,9]=>10010000=>8
[3,4,2,5,1,6,7,8,9]=>00110000=>8
[5,3,1,2,4,6,7,8,9]=>01010000=>8
[4,3,5,1,2,6,7,8,9]=>00110000=>8
[4,3,1,2,5,6,7,8,9,10]=>011000000=>9
[4,6,5,3,8,2,7,1]=>0001111=>7
[4,5,6,3,8,1,7,2]=>0000111=>7
[7,8,3,5,2,1,6,4]=>1001101=>7
[6,3,7,5,2,4,1,8]=>0011110=>7
[6,2,4,5,7,3,1,8]=>0100110=>7
[7,8,1,5,6,4,3,2]=>0110101=>7
[6,3,7,5,1,4,2,8]=>0011110=>7
[1,3,8,2,4,6,7,5]=>0000011=>7
[6,1,7,3,4,2,5,8]=>0010110=>7
[3,1,7,2,5,8,6,4]=>0100111=>7
[2,8,7,6,3,5,1,4]=>0001111=>7
[2,8,7,1,5,6,4,3]=>0010111=>7
[3,5,6,2,8,1,7,4]=>0000111=>7
[5,3,1,8,6,2,7,4]=>0101111=>7
[3,1,4,6,8,2,7,5]=>0100011=>7
[4,1,5,7,3,8,2,6]=>0010011=>7
[6,2,5,8,4,7,3,1]=>0100111=>7
[7,2,8,5,4,3,6,1]=>0011111=>7
[7,1,6,8,2,5,3,4]=>0001011=>7
[2,6,5,7,8,4,1,3]=>0010101=>7
[3,6,5,7,4,1,8,2]=>0010111=>7
[1,6,5,7,4,2,3,8]=>0010110=>7
[3,4,7,5,2,1,8,6]=>1001011=>7
[3,6,7,5,8,4,1,2]=>0010011=>7
[3,4,7,2,5,6,8,1]=>0000011=>7
[2,5,3,7,8,6,4,1]=>0011101=>7
[7,2,8,4,5,6,3,1]=>0100111=>7
[6,2,3,8,5,4,7,1]=>0001111=>7
[5,4,3,1,2,6,7,8,9]=>01110000=>8
[6,5,4,3,1,2,7,8,9]=>01111000=>8
[8,5,4,3,9,1,2,6,7]=>00110011=>4
[6,5,4,3,1,2,7,8,9,10]=>011110000=>9
[7,6,5,4,3,1,2,8,9,10]=>011111000=>9
[9,6,5,4,3,10,1,2,7,8]=>001110011=>9
[6,8,7,3,2,4,5,1]=>0101011=>7
[3,8,6,1,4,5,7,2]=>0000111=>7
[7,5,8,6,4,1,3,2]=>0110111=>7
[2,7,6,3,8,5,1,4]=>0001111=>7
[2,3,1,8,4,6,5,7]=>0100101=>7
[2,3,1,7,6,8,4,5]=>0100011=>7
[2,3,1,8,4,6,7,5]=>0100011=>7
[6,2,3,4,5,1,9,7,8]=>00011001=>8
[2,3,4,5,9,7,1,8,6]=>00000111=>8
[2,3,4,9,6,7,1,8,5]=>00000111=>8
[2,3,9,5,6,1,7,8,4]=>00001011=>8
[2,3,9,5,1,7,4,8,6]=>00010111=>8
[2,3,4,5,6,7,10,9,1,8]=>000000011=>9
[2,3,4,5,6,10,8,9,1,7]=>000000011=>9
[2,3,4,5,6,10,8,1,9,7]=>000000111=>9
[2,3,4,5,6,10,8,1,7,9]=>000000101=>9
[2,3,4,5,6,10,1,7,8,9]=>000000001=>9
[2,3,4,5,10,7,8,9,1,6]=>000000011=>9
[2,3,4,5,10,7,8,1,9,6]=>000000111=>9
[2,3,4,5,10,7,8,1,6,9]=>000000101=>9
[2,3,4,5,10,7,1,9,6,8]=>000001011=>9
[2,3,4,5,10,7,1,6,8,9]=>000001001=>9
[2,3,4,5,10,1,6,7,8,9]=>000000001=>9
[2,3,4,10,6,7,8,1,9,5]=>000000111=>9
[2,3,4,10,6,7,8,1,5,9]=>000000101=>9
[2,3,4,10,6,7,1,8,9,5]=>000001011=>9
[2,3,4,10,6,7,1,9,5,8]=>000001011=>9
[2,3,4,10,6,7,1,5,8,9]=>000001001=>9
[2,3,4,10,6,1,8,5,9,7]=>000010111=>9
[2,3,4,10,6,1,8,5,7,9]=>000010101=>9
[2,3,4,10,6,1,5,7,8,9]=>000010001=>9
[2,3,4,10,1,5,6,7,8,9]=>000000001=>9
[2,3,10,5,6,1,8,9,4,7]=>000010011=>9
[2,3,10,5,6,1,8,4,9,7]=>000010111=>9
[2,3,10,5,6,1,8,4,7,9]=>000010101=>9
[2,3,10,5,6,1,4,7,8,9]=>000010001=>9
[2,3,10,5,1,7,4,9,6,8]=>000101011=>9
[2,3,10,5,1,7,4,6,8,9]=>000101001=>9
[2,3,10,5,1,4,6,7,8,9]=>000100001=>9
[2,10,4,1,6,3,8,5,9,7]=>001010111=>9
[2,10,4,1,6,3,8,5,7,9]=>001010101=>9
[2,10,4,1,6,3,5,7,8,9]=>001010001=>9
[2,10,4,1,3,5,6,7,8,9]=>001000001=>9
[5,8,7,2,6,4,1,3]=>0010111=>7
[6,8,5,1,7,4,3,2]=>0111011=>7
[6,8,5,2,7,4,1,3]=>0011011=>7
[7,3,8,6,5,2,1,4]=>1001111=>7
[7,5,8,1,6,4,3,2]=>0110111=>7
[7,5,8,2,6,4,1,3]=>0010111=>7
[6,3,2,8,1,7,5,4]=>0101111=>7
[2,1,3,4,5,6,8,7,9]=>10000010=>8
[2,3,4,5,6,8,7,9,1]=>00000011=>8
[2,6,8,7,1,3,5,4]=>0001011=>7
[5,3,8,7,6,2,1,4]=>1001111=>7
[3,7,6,1,4,5,2,8]=>0001110=>7
[4,1,6,2,7,5,3,8]=>0011110=>7
[7,6,2,5,3,1,4,8]=>0101110=>7
[4,3,1,7,6,2,5,8]=>0110110=>7
[4,5,3,1,2,8,6,7]=>0101001=>7
[2,4,5,3,1,8,6,7]=>0101001=>7
[5,7,6,2,3,1,4,8]=>0100110=>7
[4,1,3,7,5,2,6,8]=>0011010=>7
[4,1,6,3,2,7,5,8]=>0110110=>7
[7,5,4,1,3,2,6,8]=>0111010=>7
[2,4,8,5,6,3,1,7]=>0100101=>7
[2,5,7,4,1,3,6,8]=>0010010=>7
[5,7,4,1,3,2,6,8]=>0110010=>7
[2,6,8,4,5,3,1,7]=>0101001=>7
[5,2,3,7,4,1,6,8]=>0011010=>7
[4,5,1,6,3,2,7,8]=>0101100=>7
[5,1,6,3,2,4,7,8]=>0101100=>7
[4,2,5,1,6,3,7,8]=>0011100=>7
[5,1,6,2,4,3,7,8]=>0011100=>7
[5,3,4,8,7,6,2,1]=>1001111=>7
[8,3,1,6,7,5,4,2]=>0111011=>7
[8,4,6,5,7,2,3,1]=>0100111=>7
[1,8,2,6,7,4,5,3]=>0001011=>7
[8,5,7,2,4,3,6,1]=>0010111=>7
[8,5,3,6,4,7,2,1]=>1001111=>7
[8,2,5,3,6,7,4,1]=>0011011=>7
[1,2,8,3,4,7,6,5]=>0000111=>7
[6,8,5,2,7,1,3,4]=>0001011=>7
[7,6,4,5,2,1,8,3]=>1001111=>7
[8,2,4,7,6,3,1,5]=>0100111=>7
[8,7,5,1,4,6,3,2]=>0101111=>7
[7,3,8,5,4,2,1,6]=>1011011=>7
[6,3,4,7,2,8,5,1]=>0001111=>7
[8,1,7,3,6,4,2,5]=>0010111=>7
[7,1,8,5,3,4,2,6]=>0011011=>7
[6,8,4,3,1,5,2,7]=>0111001=>7
[1,4,5,8,3,2,6,7]=>0100001=>7
[1,5,2,4,7,8,6,3]=>0001101=>7
[5,2,7,4,3,8,6,1]=>0011111=>7
[2,7,3,4,8,5,6,1]=>0000111=>7
[2,7,6,8,3,5,4,1]=>0011011=>7
[2,7,4,5,3,8,6,1]=>0001111=>7
[6,2,3,7,4,5,8,1]=>0000111=>7
[1,6,3,2,7,5,8,4]=>0100111=>7
[7,3,5,2,6,8,1,4]=>0001011=>7
[6,4,2,7,1,5,8,3]=>0010111=>7
[2,5,3,6,4,7,8,1]=>0001101=>7
[4,2,5,3,6,7,8,1]=>0011001=>7
[1,6,5,2,4,7,3,8]=>0001110=>7
[1,8,7,2,4,6,3,5]=>0000111=>7
[1,8,7,2,5,4,3,6]=>0011011=>7
[1,5,4,2,7,3,6,8]=>0011010=>7
[1,5,4,2,8,7,3,6]=>0011011=>7
[1,6,8,3,5,2,4,7]=>0001001=>7
[1,7,6,2,3,5,8,4]=>0000111=>7
[1,2,8,3,6,5,4,7]=>0001101=>7
[1,3,8,6,5,2,4,7]=>0001101=>7
[1,4,7,3,2,8,6,5]=>0100111=>7
[1,8,6,5,2,4,7,3]=>0001111=>7
[1,6,8,4,3,2,5,7]=>0110001=>7
[1,7,5,3,2,6,4,8]=>0101110=>7
[1,2,6,5,3,8,4,7]=>0001101=>7
[1,7,3,2,8,4,6,5]=>0100111=>7
[1,6,5,2,8,4,7,3]=>0001111=>7
[1,8,3,7,2,4,6,5]=>0000111=>7
[5,4,2,8,7,6,1,3]=>0011111=>7
[8,6,3,2,5,7,4,1]=>0110111=>7
[7,3,2,1,6,5,8,4]=>1100111=>7
[7,3,2,6,1,5,8,4]=>0100111=>7
[6,8,5,2,7,1,4,3]=>0011011=>7
[6,8,2,5,1,7,4,3]=>0011011=>7
[6,8,5,7,2,1,4,3]=>1010011=>7
[6,5,8,2,7,4,1,3]=>0010111=>7
[6,2,1,7,5,8,4,3]=>1010111=>7
[1,6,4,8,5,3,7,2]=>0001111=>7
[1,6,5,3,4,7,8,2]=>0001101=>7
[4,2,6,7,8,1,3,5]=>0010001=>7
[4,6,5,1,3,7,8,2]=>0001101=>7
[5,1,7,2,6,4,8,3]=>0001111=>7
[4,1,7,6,5,8,2,3]=>0010111=>7
[5,2,1,7,6,4,8,3]=>1001111=>7
[4,2,3,6,7,8,1,5]=>0010001=>7
[4,7,2,1,6,5,8,3]=>1000111=>7
[2,7,6,4,1,5,8,3]=>0010111=>7
[2,4,3,6,7,8,1,5]=>0010001=>7
[6,8,5,2,7,3,1,4]=>0101011=>7
[7,5,2,4,1,8,3,6]=>0011011=>7
[6,5,1,3,7,8,2,4]=>0001101=>7
[7,2,1,4,3,5,8,6]=>1010011=>7
[6,1,2,4,3,7,8,5]=>0010101=>7
[8,1,5,4,2,3,6,7]=>0011001=>7
[7,1,2,4,6,3,8,5]=>0000111=>7
[7,1,2,6,5,3,8,4]=>0001111=>7
[7,5,6,1,2,4,8,3]=>0000111=>7
[7,1,4,5,2,3,6,8]=>0001010=>7
[6,1,4,8,7,2,3,5]=>0000111=>7
[6,1,8,5,7,2,3,4]=>0000111=>7
[1,6,7,5,8,3,4,2]=>0010011=>7
[6,1,7,5,8,2,3,4]=>0000111=>7
[6,1,4,7,8,2,3,5]=>0000101=>7
[8,1,2,3,7,5,4,6]=>0001011=>7
[5,8,6,1,2,4,7,3]=>0000111=>7
[1,6,8,7,5,3,4,2]=>0011011=>7
[6,1,8,7,5,2,3,4]=>0001111=>7
[8,3,1,2,4,6,5,7]=>0100101=>7
[8,3,1,2,4,5,7,6]=>0100011=>7
[6,3,1,2,4,7,5,8]=>0100110=>7
[6,7,1,4,2,3,5,8]=>0010010=>7
[6,1,7,4,8,2,3,5]=>0000111=>7
[6,7,8,5,1,2,4,3]=>0011001=>7
[8,6,5,4,3,2,7,9,1]=>01111011=>8
[8,9,5,4,3,2,1,6,7]=>11110001=>8
[7,6,5,4,3,8,9,1,2]=>00111101=>8
[9,6,5,4,3,2,7,1,8]=>01111101=>8
[8,7,6,5,4,3,2,9,1,10]=>011111110=>9
[9,2,3,4,5,6,1,7,8]=>00001001=>8
[3,1,5,6,7,8,9,2,4]=>01000001=>8
[2,1,3,5,6,7,8,9,4]=>10000001=>8
[4,3,8,5,6,2,7,1]=>0010111=>7
[7,4,6,1,5,3,8,2]=>0001111=>7
[6,3,8,1,7,2,5,4]=>0001111=>7
[6,2,5,4,7,1,8,3]=>0001111=>7
[2,6,3,4,8,7,5,1]=>0001111=>7
[2,7,4,5,1,8,3,6]=>0001011=>7
[8,4,5,7,6,1,2,3]=>0000111=>7
[8,4,5,7,1,3,6,2]=>0000111=>7
[8,1,3,4,6,7,5,2]=>0001011=>7
[8,7,6,2,3,5,4,1]=>0011111=>7
[8,3,6,7,5,1,2,4]=>0001011=>7
[8,2,1,6,5,7,4,3]=>1010111=>7
[2,7,1,8,5,6,4,3]=>0010111=>7
[2,7,8,6,1,5,3,4]=>0001101=>7
[4,6,8,2,3,5,1,7]=>0001001=>7
[6,8,2,1,3,5,4,7]=>1001001=>7
[3,5,1,6,4,8,2,7]=>0001101=>7
[3,5,8,6,2,1,4,7]=>1000101=>7
[2,4,8,5,6,1,3,7]=>0000101=>7
[4,8,2,5,6,1,3,7]=>0000101=>7
[5,3,8,4,2,7,6,1]=>0011111=>7
[2,8,5,3,1,4,7,6]=>0101011=>7
[1,7,8,4,6,3,2,5]=>0100101=>7
[8,7,2,4,6,3,1,5]=>0100111=>7
[8,7,3,2,1,6,4,5]=>1100111=>7
[7,8,3,4,6,5,2,1]=>1001101=>7
[8,7,3,6,5,2,4,1]=>0011111=>7
[3,1,2,8,6,5,7,4]=>0100111=>7
[3,8,2,7,5,4,6,1]=>0001111=>7
[8,7,1,4,5,3,6,2]=>0001111=>7
[2,8,7,4,6,3,5,1]=>0001111=>7
[2,8,7,4,6,3,1,5]=>0100111=>7
[8,3,4,1,2,5,7,6]=>0010011=>7
[8,4,1,3,2,5,7,6]=>0110011=>7
[7,3,8,6,2,1,4,5]=>1000111=>7
[7,2,8,4,6,5,1,3]=>0001111=>7
[5,8,6,4,7,2,3,1]=>0100111=>7
[4,7,2,6,5,8,3,1]=>0100111=>7
[3,6,8,5,7,4,2,1]=>1010011=>7
[6,7,5,2,4,8,3,1]=>0101011=>7
[8,1,2,7,5,6,3,4]=>0000111=>7
[8,2,7,3,4,6,1,5]=>0000111=>7
[6,7,5,4,8,1,3,2]=>0101011=>7
[8,3,5,6,4,7,2,1]=>1000111=>7
[8,5,6,2,4,3,7,1]=>0010111=>7
[6,5,8,1,3,4,2,7]=>0010101=>7
[6,8,4,5,1,3,2,7]=>0101001=>7
[6,4,8,7,5,3,2,1]=>1101111=>7
[6,7,1,4,3,2,8,5]=>0110011=>7
[7,2,5,1,4,8,3,6]=>0001011=>7
[5,8,1,3,4,2,7,6]=>0010011=>7
[1,5,6,3,2,8,7,4]=>0100111=>7
[1,3,7,6,8,4,2,5]=>0010011=>7
[1,6,7,3,2,8,5,4]=>0101011=>7
[3,2,7,6,8,4,5,1]=>0101011=>7
[1,3,8,5,2,7,6,4]=>0001111=>7
[6,4,1,5,2,8,7,3]=>0011111=>7
[7,6,5,3,1,8,2,4]=>0101111=>7
[2,5,1,4,7,3,6,8]=>0001010=>7
[3,1,6,5,7,2,4,8]=>0100110=>7
[2,6,1,5,7,4,8,3]=>0000111=>7
[2,5,7,1,6,3,8,4]=>0000111=>7
[2,6,1,5,7,4,3,8]=>0010110=>7
[3,1,6,5,2,4,7,8]=>0101100=>7
[3,6,5,1,4,2,7,8]=>0011100=>7
[3,6,5,1,7,2,4,8]=>0001110=>7
[3,6,5,2,1,4,7,8]=>1001100=>7
[5,4,3,6,1,7,2,8]=>0011110=>7
[4,5,2,7,6,1,3,8]=>0001110=>7
[4,6,5,3,1,2,7,8]=>0101100=>7
[5,4,1,6,3,7,2,8]=>0011110=>7
[5,4,2,6,3,7,8,1]=>0011101=>7
[3,6,5,7,1,4,2,8]=>0010110=>7
[3,6,5,1,4,7,2,8]=>0001110=>7
[4,3,6,5,7,1,2,8]=>0010110=>7
[4,2,6,5,1,3,7,8]=>0011100=>7
[4,1,6,5,3,7,8,2]=>0011101=>7
[4,2,5,7,6,1,3,8]=>0010110=>7
[3,4,7,6,1,2,5,8]=>0000110=>7
[4,2,5,7,6,3,8,1]=>0010111=>7
[4,1,6,5,2,7,3,8]=>0011110=>7
[3,6,5,7,2,1,4,8]=>1000110=>7
[3,5,7,6,2,4,1,8]=>0010110=>7
[5,4,2,6,3,7,1,8]=>0011110=>7
[4,6,5,2,7,3,1,8]=>0101110=>7
[4,6,5,2,1,7,3,8]=>1001110=>7
[3,5,8,2,1,4,6,7]=>1000001=>7
[3,5,8,2,4,6,7,1]=>0000011=>7
[5,3,8,2,1,4,6,7]=>1001001=>7
[5,3,1,8,2,4,6,7]=>0101001=>7
[5,1,3,8,2,4,6,7]=>0001001=>7
[1,5,8,4,2,3,6,7]=>0010001=>7
[5,8,2,1,4,3,6,7]=>1010001=>7
[5,8,2,4,1,6,7,3]=>0010011=>7
[5,8,2,4,6,3,1,7]=>0100101=>7
[5,8,2,4,3,6,1,7]=>0010101=>7
[5,8,1,4,6,2,3,7]=>0000101=>7
[1,5,8,4,6,7,2,3]=>0000011=>7
[5,1,8,4,6,7,2,3]=>0001011=>7
[5,8,2,4,6,3,7,1]=>0000111=>7
[3,8,4,6,7,2,1,5]=>1000011=>7
[3,8,4,6,7,2,5,1]=>0001011=>7
[8,4,3,6,7,2,5,1]=>0011011=>7
[8,4,3,6,7,2,1,5]=>1010011=>7
[8,6,2,4,5,3,7,1]=>0001111=>7
[1,8,6,4,5,7,2,3]=>0000111=>7
[8,6,2,4,5,3,1,7]=>0101101=>7
[1,8,6,4,2,3,5,7]=>0010101=>7
[3,8,1,6,2,4,5,7]=>0000101=>7
[3,8,6,2,1,4,5,7]=>1000101=>7
[3,8,6,2,4,1,5,7]=>0010101=>7
[3,8,6,2,4,5,7,1]=>0000111=>7
[8,3,6,2,4,5,1,7]=>0001101=>7
[8,1,3,6,2,4,5,7]=>0000101=>7
[8,3,6,7,2,1,4,5]=>1000011=>7
[3,8,6,7,2,1,4,5]=>1000011=>7
[8,2,6,4,5,1,7,3]=>0001111=>7
[1,8,4,6,7,5,2,3]=>0001011=>7
[8,4,6,2,3,7,5,1]=>0001111=>7
[8,4,7,2,1,3,6,5]=>1000111=>7
[2,7,1,6,3,5,8,4]=>0000111=>7
[8,4,2,1,5,3,7,6]=>1011011=>7
[8,2,1,4,7,3,6,5]=>1000111=>7
[1,6,2,5,8,4,7,3]=>0000111=>7
[3,2,1,7,4,5,8,6]=>1100011=>7
[2,6,8,5,1,7,4,3]=>0011011=>7
[2,1,5,8,7,3,6,4]=>1000111=>7
[3,2,1,6,7,4,8,5]=>1100011=>7
[4,3,1,7,8,5,2,6]=>0111001=>7
[5,6,8,2,4,3,7,1]=>0010011=>7
[2,8,5,3,6,4,7,1]=>0001111=>7
[1,2,8,6,4,7,3,5]=>0000111=>7
[5,3,2,7,8,6,4,1]=>0111101=>7
[4,2,7,8,3,5,6,1]=>0010101=>7
[2,8,3,7,1,4,6,5]=>0000111=>7
[2,8,7,1,5,3,6,4]=>0001111=>7
[7,3,5,6,4,2,8,1]=>0010111=>7
[3,8,4,2,7,6,5,1]=>0011111=>7
[4,8,3,2,7,5,6,1]=>0100111=>7
[3,2,4,8,7,5,6,1]=>0100111=>7
[2,6,8,1,5,3,4,7]=>0001001=>7
[3,2,5,6,8,1,4,7]=>0100001=>7
[3,8,1,6,4,5,2,7]=>0001101=>7
[8,1,3,6,5,4,2,7]=>0011101=>7
[7,4,3,6,2,1,8,5]=>1010111=>7
[1,2,4,8,6,3,7,5]=>0000111=>7
[7,2,1,5,3,4,8,6]=>1001011=>7
[5,7,2,3,1,4,8,6]=>0100011=>7
[7,1,5,2,4,6,8,3]=>0001011=>7
[8,4,2,7,3,5,6,1]=>0010111=>7
[1,8,6,4,7,5,3,2]=>0101111=>7
[7,4,1,5,8,6,3,2]=>0110111=>7
[4,5,8,7,3,1,2,6]=>0100011=>7
[1,3,8,7,6,4,2,5]=>0010111=>7
[2,8,5,1,7,4,6,3]=>0001111=>7
[1,8,6,4,7,5,2,3]=>0001111=>7
[2,7,4,6,3,8,5,1]=>0001111=>7
[1,2,8,6,4,7,5,3]=>0001111=>7
[3,4,5,6,7,9,1,2,8]=>00000001=>8
[3,4,5,7,8,9,1,2,6]=>00000001=>8
[3,5,6,7,8,9,1,2,4]=>00000001=>8
[3,4,5,6,8,9,10,1,2,7]=>000000001=>9
[3,5,6,7,8,9,10,1,2,4]=>000000001=>9
[3,4,5,6,7,8,9,10,1,2,11]=>0000000010=>10
[3,4,5,6,7,8,1,2,9,10]=>000000100=>9
[3,4,5,6,9,1,2,7,8]=>00000001=>8
[3,4,5,6,1,2,7,8,9]=>00001000=>8
[3,4,5,6,7,9,10,11,1,2,8]=>0000000001=>10
[5,1,6,7,8,9,2,3,4]=>00010001=>4
[3,4,6,7,8,9,10,11,1,2,5]=>0000000001=>10
[4,1,8,6,3,7,5,2]=>0011111=>7
[8,4,3,1,6,2,5,7]=>0110101=>7
[7,5,4,3,8,1,6,2]=>0011111=>7
[3,5,4,1,7,8,2,6]=>0011001=>7
[6,4,2,1,5,7,3,8]=>1010110=>7
[3,1,5,8,7,2,4,6]=>0100011=>7
[3,2,5,7,8,4,6,1]=>0100101=>7
[5,3,7,4,2,6,8,1]=>0011011=>7
[5,3,7,4,2,6,1,8]=>0011110=>7
[5,3,8,4,2,1,6,7]=>1011001=>7
[5,2,8,4,3,1,6,7]=>0111001=>7
[5,1,8,4,3,2,6,7]=>0111001=>7
[5,2,7,4,3,6,1,8]=>0011110=>7
[5,2,7,4,3,6,8,1]=>0011011=>7
[5,3,7,4,1,6,8,2]=>0011011=>7
[3,1,5,7,8,4,6,2]=>0100101=>7
[3,1,5,7,8,4,2,6]=>0110001=>7
[5,2,7,4,1,3,8,6]=>0011011=>7
[6,2,3,7,4,8,5,1]=>0001111=>7
[6,2,3,7,4,8,1,5]=>0000111=>7
[6,2,3,7,4,5,1,8]=>0001110=>7
[6,1,3,7,4,5,8,2]=>0000111=>7
[1,2,8,6,4,3,5,7]=>0010101=>7
[6,1,3,7,4,5,2,8]=>0001110=>7
[1,8,6,3,5,4,2,7]=>0011101=>7
[2,6,1,8,5,3,4,7]=>0001101=>7
[4,5,7,8,1,6,3,2]=>0100101=>7
[2,5,7,8,4,6,3,1]=>0100101=>7
[1,8,2,7,5,3,4,6]=>0001011=>7
[2,5,4,1,8,6,7,3]=>0011011=>7
[5,6,8,3,4,2,7,1]=>0010011=>7
[4,1,5,3,8,6,7,2]=>0011011=>7
[7,3,5,1,4,8,6,2]=>0001111=>7
[7,1,3,2,4,5,6,8]=>0100010=>7
[3,8,7,1,4,2,5,6]=>0010011=>7
[5,1,7,8,2,4,3,6]=>0011001=>7
[8,5,4,6,1,7,3,2]=>0101111=>7
[5,3,2,1,4,6,8,7]=>1101001=>7
[5,3,2,4,8,1,6,7]=>0101001=>7
[5,3,2,4,7,1,8,6]=>0101011=>7
[8,4,5,3,7,1,2,6]=>0001011=>7
[4,8,1,7,3,5,6,2]=>0000111=>7
[5,3,2,4,6,8,1,7]=>0101001=>7
[1,2,5,6,7,3,8,9,4]=>00000101=>8
[1,2,4,3,5,7,8,9,6]=>00100001=>8
[2,7,6,3,1,4,8,5]=>0100111=>7
[3,7,4,5,6,8,2,1]=>1000011=>7
[8,7,1,4,2,5,3,6]=>0011011=>7
[4,6,8,3,7,1,5,2]=>0001011=>7
[4,7,3,5,8,1,6,2]=>0000111=>7
[8,4,3,5,7,1,6,2]=>0010111=>7
[1,7,6,4,2,5,3,8]=>0011110=>7
[7,6,4,2,8,3,1,5]=>0110111=>7
[8,5,2,4,3,7,1,6]=>0011011=>7
[8,5,1,4,3,7,6,2]=>0011111=>7
[7,5,4,1,3,6,8,2]=>0011011=>7
[3,6,7,2,5,1,8,4]=>0001011=>7
[2,6,5,7,1,4,8,3]=>0000111=>7
[3,5,1,7,8,4,6,2]=>0001101=>7
[1,5,2,4,6,8,7,3]=>0001011=>7
[8,1,2,4,7,6,5,3]=>0001111=>7
[3,4,1,8,6,7,5,2]=>0011011=>7
[4,3,8,5,1,7,6,2]=>0011111=>7
[6,1,3,2,8,5,7,4]=>0100111=>7
[3,1,2,4,5,6,7,9,8]=>01000001=>8
[8,5,3,2,4,7,1,6]=>0101011=>7
[6,7,4,2,5,8,3,1]=>0110011=>7
[8,5,4,2,6,3,1,7]=>0111101=>7
[8,5,2,1,6,4,3,7]=>1011101=>7
[8,4,6,5,1,3,2,7]=>0101101=>7
[1,3,8,4,7,5,2,6]=>0001011=>7
[5,3,7,1,4,6,8,2]=>0001011=>7
[5,7,2,6,1,4,8,3]=>0000111=>7
[3,8,5,7,6,1,2,4]=>0000111=>7
[8,4,7,5,2,1,3,6]=>1001011=>7
[3,8,6,4,7,2,1,5]=>1000111=>7
[5,2,7,4,6,8,3,1]=>0101011=>7
[4,8,6,3,7,2,1,5]=>1000111=>7
[2,8,3,1,7,6,4,5]=>0100111=>7
[2,5,6,4,8,1,7,3]=>0000111=>7
[5,7,2,1,6,8,3,4]=>1000011=>7
[4,7,8,5,1,6,2,3]=>0001101=>7
[4,5,2,1,6,7,8,3]=>1001001=>7
[4,5,6,3,1,7,8,2]=>0100101=>7
[3,5,6,7,4,1,8,2]=>0010011=>7
[3,5,1,4,2,8,7,6]=>0011011=>7
[3,5,1,4,2,6,8,7]=>0011001=>7
[3,5,1,4,2,6,7,8]=>0011000=>7
[1,3,8,4,6,2,5,7]=>0000101=>7
[1,8,4,2,3,7,5,6]=>0010011=>7
[1,4,8,3,2,7,6,5]=>0100111=>7
[1,3,7,6,5,2,4,8]=>0001110=>7
[1,2,8,6,7,5,4,3]=>0011011=>7
[1,7,5,4,3,2,6,8]=>0111010=>7
[8,9,10,1,5,6,7,3,4,2]=>001001001=>3
[8,9,10,5,6,7,1,3,4,2]=>001001001=>3
[8,9,10,1,5,6,3,4,7,2]=>000011001=>9
[8,9,10,5,6,1,3,4,7,2]=>000011001=>9
[8,9,10,5,6,3,4,7,1,2]=>000011001=>9
[8,9,5,6,10,1,3,4,7,2]=>000001011=>9
[8,9,5,6,10,3,4,7,1,2]=>000001011=>9
[8,9,10,1,5,6,7,3,2,4]=>010001001=>9
[8,9,10,5,6,7,1,3,2,4]=>010001001=>9
[8,9,10,1,5,6,3,7,2,4]=>000011001=>9
[8,9,10,5,6,1,3,7,2,4]=>000011001=>9
[8,9,10,5,6,3,7,1,2,4]=>000011001=>9
[8,9,5,6,10,1,3,7,2,4]=>000001011=>9
[8,9,5,6,10,3,7,1,2,4]=>000001011=>9
[8,9,10,1,5,6,3,2,4,7]=>010010001=>9
[8,9,10,5,6,1,3,2,4,7]=>010010001=>9
[8,9,10,5,6,3,1,2,4,7]=>010010001=>9
[8,9,10,5,6,3,2,4,7,1]=>010011001=>9
[8,9,5,6,10,1,3,2,4,7]=>010000011=>9
[8,9,5,6,10,3,1,2,4,7]=>010000011=>9
[8,9,5,6,10,3,2,4,7,1]=>010001011=>9
[8,9,10,1,5,3,6,7,2,4]=>000101001=>9
[8,9,10,5,1,3,6,7,2,4]=>000101001=>9
[8,9,10,5,3,6,7,1,2,4]=>000101001=>9
[8,9,5,10,1,3,6,7,2,4]=>000001011=>9
[8,9,5,10,3,6,7,1,2,4]=>000001011=>9
[8,9,10,1,5,3,6,2,4,7]=>000110001=>9
[8,9,10,5,1,3,6,2,4,7]=>000110001=>9
[8,9,10,5,3,6,1,2,4,7]=>000110001=>9
[8,9,10,5,3,6,2,4,7,1]=>000111001=>9
[8,9,5,10,1,3,6,2,4,7]=>000010011=>9
[8,9,5,10,3,6,1,2,4,7]=>000010011=>9
[8,9,5,10,3,6,2,4,7,1]=>000011011=>9
[8,9,5,3,6,10,1,2,4,7]=>000100011=>9
[8,9,5,3,6,10,2,4,7,1]=>000101011=>9
[8,5,9,10,1,3,6,7,2,4]=>000001101=>9
[8,5,9,10,3,6,7,1,2,4]=>000001101=>9
[8,5,9,10,1,3,6,2,4,7]=>000010101=>9
[8,5,9,10,3,6,1,2,4,7]=>000010101=>9
[8,5,9,10,3,6,2,4,7,1]=>000011101=>9
[3,8,5,7,4,6,2,1]=>1000111=>7
[4,2,5,7,8,6,3,1]=>0110101=>7
[6,7,2,4,5,1,8,3]=>0001011=>7
[5,2,7,8,3,6,1,4]=>0001101=>7
[2,4,7,8,1,3,6,5]=>0000101=>7
[8,5,1,2,3,7,4,6]=>0001011=>7
[5,2,8,3,1,4,7,6]=>0101011=>7
[8,7,2,5,1,4,3,6]=>0011011=>7
[8,4,1,3,2,7,6,5]=>0110111=>7
[8,3,5,1,2,4,7,6]=>0001011=>7
[8,6,5,1,7,4,2,3]=>0011111=>7
[8,7,4,5,1,2,6,3]=>0001111=>7
[3,8,6,2,7,1,5,4]=>0001111=>7
[3,4,8,2,1,7,6,5]=>1000111=>7
[3,8,4,2,1,7,6,5]=>1010111=>7
[8,3,1,7,5,6,2,4]=>0100111=>7
[8,4,1,7,5,2,6,3]=>0011111=>7
[8,4,2,7,5,3,1,6]=>0111011=>7
[8,4,3,7,5,1,2,6]=>0011011=>7
[8,5,7,6,4,3,1,2]=>0110111=>7
[8,4,7,6,5,2,1,3]=>1001111=>7
[8,3,1,4,7,6,2,5]=>0100111=>7
[8,3,5,7,6,2,4,1]=>0010111=>7
[1,4,6,8,2,5,7,3]=>0000011=>7
[3,6,2,4,8,1,7,5]=>0000111=>7
[7,3,8,2,4,6,1,5]=>0000111=>7
[1,5,2,6,8,3,7,4]=>0001011=>7
[4,5,3,1,8,2,6,7]=>0101001=>7
[7,2,8,4,1,3,5,6]=>0010011=>7
[6,1,7,3,2,8,4,5]=>0100111=>7
[6,2,1,7,3,8,4,5]=>1000111=>7
[5,8,2,1,3,4,6,7]=>1000001=>7
[4,2,5,1,8,3,6,7]=>0011001=>7
[7,4,2,8,3,1,5,6]=>0110011=>7
[7,4,2,8,3,5,1,6]=>0011011=>7
[6,7,8,5,2,1,4,3]=>1011001=>7
[1,6,2,7,8,4,3,5]=>0010101=>7
[10,1,9,5,6,7,8,2,3,4]=>000000111=>9
[9,1,10,8,6,7,2,3,4,5]=>000001111=>9
[8,1,9,10,7,2,3,4,5,6]=>000001101=>9
[10,1,8,9,2,3,4,5,6,7]=>000000011=>9
[11,1,10,5,6,7,8,9,2,3,4]=>0000000111=>10
[3,1,10,9,6,7,8,2,4,5]=>010000111=>9
[10,1,11,9,6,7,8,2,3,4,5]=>0000001111=>10
[3,1,9,10,8,7,2,4,5,6]=>010001101=>9
[9,1,10,11,8,7,2,3,4,5,6]=>0000011101=>10
[3,1,8,9,10,2,4,5,6,7]=>010000001=>9
[8,1,9,10,11,2,3,4,5,6,7]=>0000001001=>10
[11,1,10,9,2,3,4,5,6,7,8]=>0000000111=>10
[7,3,4,1,8,6,2,5]=>0010111=>7
[4,7,6,3,5,8,2,1]=>1000111=>7
[3,7,6,5,2,4,8,1]=>0001111=>7
[1,4,7,8,6,2,5,3]=>0001101=>7
[1,6,7,8,3,2,5,4]=>0101001=>7
[1,3,2,7,8,4,6,5]=>0100101=>7
[6,8,2,3,5,7,4,1]=>0010011=>7
[5,7,1,4,6,2,8,3]=>0000111=>7
[9,8,7,6,5,1,3,4,2]=>00111111=>8
[9,8,7,6,1,4,5,3,2]=>01011111=>8
[8,7,1,5,4,6,3,2]=>0101111=>7
[9,8,7,1,5,6,4,3,2]=>01101111=>8
[9,8,1,6,7,5,4,3,2]=>01110111=>4
[9,1,7,8,6,5,4,3,2]=>01111011=>8
[4,5,7,1,8,6,2,3]=>0000111=>7
[4,3,8,6,5,2,7,1]=>0011111=>7
[2,3,8,6,5,1,7,4]=>0001111=>7
[5,4,7,3,1,2,6,8]=>0101010=>7
[7,6,2,1,5,4,3,8]=>1011110=>7
[3,1,2,6,5,7,8,4]=>0100101=>7
[7,3,2,6,1,4,8,5]=>0100111=>7
[3,2,5,6,8,4,1,7]=>0110001=>7
[7,2,6,8,5,4,3,1]=>0111011=>7
[3,7,5,6,2,4,1,8]=>0010110=>7
[1,3,4,5,6,7,2,9,8]=>00000101=>8
[3,4,5,6,7,1,9,2,8]=>00000101=>8
[3,2,4,1,6,5,8,7,9]=>01101010=>8
[4,2,5,1,6,3,8,7,9]=>00111010=>8
[4,2,6,1,7,3,8,5,9]=>00101110=>8
[4,2,6,1,8,3,9,5,7]=>00101011=>8
[4,2,6,1,7,3,5,9,8]=>00101101=>8
[4,2,5,1,3,7,6,9,8]=>00110101=>8
[3,2,5,4,6,1,8,7,9]=>01011010=>8
[4,2,5,1,6,3,8,7,10,9]=>001110101=>9
[4,2,5,1,7,6,8,3,9]=>00110110=>8
[4,2,6,1,7,3,8,5,10,9]=>001011101=>9
[4,2,6,1,7,3,9,8,5]=>00101111=>8
[4,2,6,1,8,3,9,5,10,7]=>001010111=>9
[4,2,5,1,3,6,8,7]=>0011001=>7
[4,2,6,1,7,3,5,8,9]=>00101100=>8
[4,2,6,1,8,3,9,5,7,10]=>001010110=>9
[4,2,5,1,3,8,9,6,7]=>00110001=>8
[4,2,6,1,7,3,5,9,8,10]=>001011010=>9
[3,2,1,6,7,4,5,9,8]=>11000101=>8
[4,2,5,1,3,7,6,9,8,10]=>001101010=>9
[1,4,5,2,3,7,6,9,8]=>00010101=>8
[5,3,4,2,7,1,8,6]=>0011011=>7
[5,6,8,2,1,3,4,7]=>1000001=>7
[6,5,2,1,3,8,4,7]=>1001101=>7
[2,4,3,5,6,8,1,7]=>0010001=>7
[6,3,2,4,8,5,1,7]=>0101101=>7
[6,3,1,2,7,8,4,5]=>0100101=>7
[8,4,7,1,2,5,3,6]=>0001011=>7
[7,4,6,1,8,5,2,3]=>0001111=>7
[8,5,6,7,2,1,4,3]=>1010011=>7
[2,5,6,3,8,4,7,1]=>0000111=>7
[6,8,4,2,3,1,7,5]=>0110011=>7
[1,7,6,2,8,3,5,4]=>0001111=>7
[7,1,5,6,3,2,8,4]=>0100111=>7
[4,1,3,8,5,2,7,6]=>0011011=>7
[1,8,5,4,7,2,3,6]=>0001011=>7
[8,2,5,6,4,3,1,7]=>0110101=>7
[2,4,3,8,6,5,1,7]=>0011101=>7
[3,1,4,5,8,6,2,7]=>0100101=>7
[1,8,3,2,5,4,6,7]=>0101001=>7
[5,1,7,3,2,8,4,6]=>0101011=>7
[5,7,8,1,3,2,4,6]=>0100001=>7
[8,2,4,1,6,7,3,5]=>0010011=>7
[8,7,3,6,2,4,1,5]=>0010111=>7
[1,7,4,8,3,6,2,5]=>0000111=>7
[7,8,6,1,3,5,4,2]=>0011101=>7
[1,7,5,8,4,3,2,6]=>0110011=>7
[6,3,1,2,7,8,5,4]=>0101101=>7
[8,2,7,5,3,4,1,6]=>0011011=>7
[6,3,1,2,8,7,5,4]=>0101111=>7
[8,4,7,2,6,3,1,5]=>0100111=>7
[1,2,5,7,8,3,6,4]=>0000101=>7
[7,6,3,4,2,1,8,5]=>1010111=>7
[8,4,6,2,3,7,1,5]=>0000111=>7
[3,4,5,8,1,7,2,6]=>0000011=>7
[6,3,4,2,7,8,1,5]=>0010101=>7
[5,6,3,7,8,2,1,4]=>1000101=>7
[8,6,3,4,7,2,1,5]=>1000111=>7
[4,3,8,6,7,5,1,2]=>0011011=>7
[4,5,6,2,7,8,3,1]=>0100101=>7
[4,5,6,2,7,1,8,3]=>0000111=>7
[4,5,6,2,1,7,8,3]=>1000101=>7
[4,5,6,2,1,7,3,8]=>1000110=>7
[6,8,7,2,3,1,4,5]=>0100011=>7
[4,5,1,6,7,3,2,8]=>0101010=>7
[2,5,1,8,3,7,4,6]=>0001011=>7
[5,7,2,1,3,8,4,6]=>1000011=>7
[3,7,5,4,1,6,8,2]=>0011011=>7
[7,1,5,4,2,6,3,8]=>0011110=>7
[8,5,6,3,7,2,1,4]=>1000111=>7
[7,6,5,4,3,1,2,9,8]=>01111101=>8
[8,7,6,5,4,3,1,2,10,9]=>011111101=>9
[7,6,5,4,2,1,3,9,8]=>10111101=>8
[7,6,5,4,1,3,2,9,8]=>01111101=>8
[9,8,7,6,5,3,2,4,1]=>01111111=>8
[9,8,7,6,5,2,4,3,1]=>01111111=>8
[10,9,8,7,6,5,4,2,3,1]=>011111111=>9
[2,7,4,5,6,8,1,3]=>0000011=>7
[2,3,4,6,8,1,7,5]=>0000011=>7
[2,3,4,8,6,7,9,5,1]=>00010011=>8
[2,3,8,5,6,7,9,1,4]=>00000011=>8
[2,8,4,5,6,7,9,3,1]=>01000011=>8
[8,3,4,5,6,7,9,2,1]=>10000011=>8
[2,3,4,5,7,9,1,8,6]=>00000011=>8
[2,3,4,6,7,1,9,5,8]=>00000101=>8
[2,3,4,5,9,7,8,10,6,1]=>000010011=>9
[2,3,5,8,1,6,7,4]=>0000011=>7
[2,3,5,6,1,7,9,4,8]=>00001001=>8
[2,3,4,9,6,7,8,10,1,5]=>000000011=>9
[2,4,5,1,6,7,9,8,3]=>00010011=>8
[2,3,9,5,6,7,8,10,4,1]=>001000011=>9
[2,4,7,5,6,8,1,3]=>0000011=>7
[3,4,1,5,6,7,9,2,8]=>00100001=>8
[2,9,4,5,6,7,8,10,3,1]=>010000011=>9
[3,2,4,5,6,7,9,1,8]=>01000001=>8
[9,3,4,5,6,7,8,10,1,2]=>000000011=>9
[2,3,4,5,6,8,10,1,9,7]=>000000011=>9
[2,3,4,5,6,7,10,9,11,8,1]=>0000001011=>10
[2,3,4,7,6,9,8,5,1]=>00010111=>8
[2,3,4,5,7,8,1,10,6,9]=>000000101=>9
[2,3,4,5,6,10,8,9,11,7,1]=>0000010011=>10
[2,3,4,6,9,1,7,8,5]=>00000011=>8
[2,3,4,6,7,1,8,10,5,9]=>000001001=>9
[2,3,4,5,10,7,8,9,11,1,6]=>0000000011=>10
[7,3,4,6,2,8,1,5]=>0000111=>7
[2,5,4,6,8,7,9,1,3]=>00010011=>8
[2,3,5,7,1,6,9,4,8]=>00000101=>8
[2,3,5,6,1,7,8,10,9,4]=>000010011=>9
[2,3,4,10,6,7,8,9,11,5,1]=>0001000011=>10
[4,7,6,5,2,8,3,1]=>0101111=>7
[4,3,5,8,6,7,9,2,1]=>10100011=>8
[2,5,4,8,6,7,3,1]=>0101011=>7
[2,4,6,1,5,7,9,3,8]=>00001001=>8
[2,4,5,1,6,7,8,10,3,9]=>000100001=>9
[2,3,10,5,6,7,8,9,11,4,1]=>0010000011=>10
[7,5,4,1,6,8,2,3]=>0011011=>7
[2,4,8,5,6,7,9,1,3]=>00000011=>8
[3,5,1,4,6,7,9,8,2]=>00010011=>8
[3,4,1,5,6,7,8,10,2,9]=>001000001=>9
[2,10,4,5,6,7,8,9,11,1,3]=>0000000011=>10
[4,2,3,5,6,7,9,1,8]=>00100001=>8
[3,2,4,5,6,7,8,10,9,1]=>010000011=>9
[8,5,2,1,7,6,3,4]=>1001111=>7
[2,7,3,6,4,1,8,5]=>0010111=>7
[7,2,1,8,5,6,4,3]=>1010111=>7
[3,6,5,1,4,8,2,7]=>0001101=>7
[6,3,5,4,8,1,2,7]=>0001101=>7
[2,5,1,4,6,3,8,7]=>0001101=>7
[3,1,5,6,4,2,8,7]=>0110101=>7
[8,5,6,4,3,1,7,2]=>0110111=>7
[8,3,5,6,7,1,2,4]=>0000011=>7
[2,1,4,7,3,6,8,5]=>1000011=>7
[5,3,7,6,4,8,2,1]=>1001111=>7
[3,7,6,4,2,8,1,5]=>0010111=>7
[8,6,1,4,3,7,2,5]=>0010111=>7
[8,4,7,5,1,6,3,2]=>0101111=>7
[2,1,5,3,7,8,6,4]=>1001101=>7
[5,1,4,7,6,8,2,3]=>0001011=>7
[8,4,1,3,7,6,5,2]=>0011111=>7
[8,3,4,1,6,7,5,2]=>0011011=>7
[8,1,4,2,6,5,7,3]=>0010111=>7
[8,6,4,3,7,2,1,5]=>1010111=>7
[5,8,1,4,3,2,6,7]=>0110001=>7
[5,6,4,3,8,2,7,1]=>0010111=>7
[1,6,4,3,8,2,7,5]=>0010111=>7
[6,7,4,1,3,2,5,8]=>0110010=>7
[7,8,1,4,3,2,5,6]=>0110001=>7
[7,1,8,4,5,3,6,2]=>0001111=>7
[4,3,1,8,6,5,7,2]=>0110111=>7
[4,3,2,7,5,1,8,6]=>0111011=>7
[5,2,3,7,4,1,8,6]=>0011011=>7
[2,1,7,4,3,6,8,5]=>1010011=>7
[7,1,2,4,5,6,8,3]=>0000011=>7
[2,8,7,1,4,5,6,3]=>0000111=>7
[8,7,1,3,4,5,6,2]=>0000111=>7
[5,8,3,1,4,6,7,2]=>0100011=>7
[1,7,2,5,4,6,8,3]=>0001011=>7
[2,5,3,8,1,6,7,4]=>0001011=>7
[1,6,4,2,5,7,8,3]=>0010101=>7
[6,5,3,4,1,7,8,2]=>0011101=>7
[5,6,3,4,1,7,8,2]=>0010101=>7
[2,5,3,1,4,7,8,6]=>0101001=>7
[6,8,2,3,1,5,7,4]=>0100011=>7
[4,3,1,5,2,7,8,6]=>0111001=>7
[5,2,3,1,4,7,8,6]=>0101001=>7
[7,2,1,3,5,6,8,4]=>1000011=>7
[5,2,4,7,8,6,3,1]=>0101101=>7
[5,4,8,7,2,3,1,6]=>0101011=>7
[8,1,4,5,3,6,2,7]=>0001101=>7
[8,3,5,1,4,6,2,7]=>0001101=>7
[5,8,2,1,7,4,3,6]=>1010011=>7
[6,5,7,2,1,8,4,3]=>1010111=>7
[1,5,4,7,3,8,6,2]=>0001111=>7
[7,4,1,3,8,5,6,2]=>0010111=>7
[3,6,8,4,1,7,2,5]=>0010011=>7
[2,1,8,4,7,6,3,5]=>1000111=>7
[2,7,5,6,8,4,3,1]=>0110011=>7
[3,5,2,4,7,8,6,1]=>0001101=>7
[7,5,6,3,8,2,1,4]=>1000111=>7
[1,6,2,7,4,5,8,3]=>0000111=>7
[7,4,2,6,1,5,8,3]=>0010111=>7
[8,4,1,6,2,5,7,3]=>0010111=>7
[7,3,4,5,1,6,8,2]=>0001011=>7
[1,4,2,6,3,7,5,9,8]=>00101101=>8
[1,3,2,6,4,7,5,9,8]=>01001101=>8
[2,1,6,3,7,4,8,5,9]=>10001110=>8
[8,4,2,7,6,1,5,3]=>0011111=>7
[8,4,7,1,2,6,5,3]=>0001111=>7
[8,4,7,6,1,2,5,3]=>0001111=>7
[8,7,6,2,1,5,3,4]=>1001111=>7
[5,7,8,1,6,2,4,3]=>0010101=>7
[7,9,6,8,4,5,2,3,1]=>01010011=>8
[7,9,5,8,4,6,2,3,1]=>01001011=>8
[7,9,5,8,3,6,2,4,1]=>00101011=>8
[6,8,4,7,5,2,1,3]=>1001011=>7
[7,9,5,8,3,6,4,1,2]=>00101011=>8
[7,9,5,8,6,3,4,1,2]=>00101011=>8
[7,9,8,5,6,3,4,1,2]=>00101011=>8
[6,9,5,8,4,7,2,3,1]=>01000111=>8
[7,9,4,8,3,6,2,5,1]=>00011011=>8
[7,9,5,8,2,6,1,4,3]=>00101011=>8
[6,8,2,7,1,5,4,3]=>0011011=>7
[7,9,5,8,3,6,4,2,1]=>10101011=>8
[8,10,6,9,4,7,2,5,3,1]=>010101011=>9
[6,8,7,4,2,5,1,3]=>0011011=>7
[7,9,5,8,6,3,1,4,2]=>01101011=>8
[8,10,6,9,4,7,5,2,3,1]=>010101011=>9
[7,9,8,5,3,6,4,1,2]=>00111011=>8
[8,10,6,9,7,4,5,2,3,1]=>010101011=>9
[9,7,5,8,6,3,4,1,2]=>00101111=>8
[8,10,9,6,7,4,5,2,3,1]=>010101011=>9
[6,8,4,5,7,2,1,3]=>1000011=>7
[6,8,4,2,5,1,3,7]=>0011001=>7
[6,5,4,3,2,7,1,8,9]=>01111100=>8
[5,4,3,2,6,1,7,8,9]=>01111000=>8
[4,3,2,5,1,6,7,8,9]=>01110000=>8
[3,2,4,1,5,6,7,8,9]=>01100000=>8
[2,5,3,7,6,4,8,1]=>0001111=>7
[3,1,5,7,6,4,2,8]=>0110110=>7
[3,1,6,5,4,7,2,8]=>0101110=>7
[2,5,6,8,3,4,7,1]=>0000011=>7
[4,1,3,6,5,2,7,8]=>0011100=>7
[3,6,2,4,5,7,1,8]=>0000110=>7
[3,6,2,5,4,7,1,8]=>0001110=>7
[3,5,1,7,6,4,2,8]=>0011110=>7
[3,6,1,4,5,7,2,8]=>0000110=>7
[4,3,1,6,5,2,7,8]=>0111100=>7
[4,1,2,6,5,3,7,8]=>0011100=>7
[4,6,1,3,5,2,7,8]=>0001100=>7
[3,6,4,2,5,7,1,8]=>0010110=>7
[4,2,6,3,5,1,7,8]=>0011100=>7
[3,4,7,6,5,1,2,8]=>0001110=>7
[4,5,2,7,1,3,6,8]=>0001010=>7
[4,6,1,2,5,3,7,8]=>0001100=>7
[2,6,5,1,4,8,7,3]=>0001111=>7
[5,8,4,7,1,3,6,2]=>0000111=>7
[6,4,7,1,3,5,2,8]=>0001110=>7
[6,8,1,3,5,7,4,2]=>0010011=>7
[5,8,3,2,7,4,6,1]=>0100111=>7
[6,8,3,1,5,4,7,2]=>0101011=>7
[6,8,1,2,5,3,7,4]=>0001011=>7
[5,2,8,3,4,6,7,1]=>0001011=>7
[5,2,7,1,6,4,8,3]=>0001111=>7
[4,5,2,6,1,3,7,8]=>0001100=>7
[4,3,5,8,6,1,7,2]=>0010111=>7
[5,1,3,6,7,4,2,8]=>0011010=>7
[4,2,8,3,6,7,5,1]=>0011011=>7
[3,1,7,8,5,6,2,4]=>0100101=>7
[6,2,1,7,5,3,4,8]=>1001110=>7
[3,7,1,8,5,2,4,6]=>0001011=>7
[4,2,8,6,7,1,3,5]=>0010011=>7
[6,1,2,4,7,3,5,8]=>0000110=>7
[5,3,1,6,4,7,2,8]=>0101110=>7
[1,2,4,5,8,7,3,6]=>0000011=>7
[1,3,4,7,5,8,6,2]=>0000111=>7
[1,5,2,3,7,8,6,4]=>0001101=>7
[4,2,8,1,6,5,7,3]=>0010111=>7
[1,3,5,2,7,4,6,9,8]=>00010101=>8
[1,2,4,3,6,5,8,7,9]=>00101010=>8
[1,3,5,7,2,4,6,9,8]=>00000101=>8
[1,3,5,7,2,4,6,9,8,10]=>000001010=>9
[1,3,5,7,2,9,4,6,8]=>00000101=>8
[5,6,1,4,8,3,2,7]=>0100101=>7
[3,6,4,1,7,2,8,5]=>0010111=>7
[5,6,2,1,3,7,4,8,9]=>10001100=>8
[3,2,5,1,6,4,7,8,9]=>01011000=>8
[6,7,2,1,8,3,4,9,5]=>10000111=>8
[3,6,4,1,7,2,8,5,9]=>00101110=>8
[3,6,7,2,1,4,8,5,9]=>10000110=>8
[4,2,6,1,7,5,3,8,9]=>00111100=>8
[4,3,2,6,1,7,5,8,9]=>01101100=>8
[4,7,2,5,1,8,3,9,6]=>00010111=>8
[4,3,7,8,2,1,5,9,6]=>10100011=>8
[3,5,2,7,1,8,6,4,9]=>00011110=>8
[5,4,3,2,7,1,8,6,9]=>01110110=>8
[6,4,2,8,1,9,7,5,3]=>00111111=>8
[4,3,6,2,8,1,9,7,5]=>00101111=>8
[6,5,4,3,2,8,1,9,7]=>01111011=>8
[2,4,1,5,3,6,7,8,9,10]=>001100000=>9
[5,6,2,1,3,7,4,8,9,10]=>100011000=>9
[3,2,5,1,6,4,7,8,9,10]=>010110000=>9
[6,7,2,1,8,3,4,9,5,10]=>100001110=>9
[3,6,4,1,7,2,8,5,9,10]=>001011100=>9
[3,6,7,2,1,4,8,5,9,10]=>100001100=>9
[4,2,6,1,7,5,3,8,9,10]=>001111000=>9
[4,3,2,6,1,7,5,8,9,10]=>011011000=>9
[3,4,7,1,8,2,9,5,10,6]=>000001111=>9
[7,8,9,3,2,1,4,5,10,6]=>110000011=>9
[4,7,2,5,1,8,3,9,6,10]=>000101110=>9
[4,3,7,8,2,1,5,9,6,10]=>101000110=>9
[3,5,2,7,1,8,6,4,9,10]=>000111100=>9
[5,4,3,2,7,1,8,6,9,10]=>011101100=>9
[5,8,9,2,1,6,3,10,7,4]=>100011011=>9
[5,3,8,6,4,1,9,2,10,7]=>001110111=>9
[3,5,8,2,6,1,9,4,10,7]=>000010111=>9
[5,4,3,8,9,2,1,6,10,7]=>101100011=>9
[6,4,2,8,1,9,7,5,3,10]=>001111110=>9
[4,3,6,2,8,1,9,7,5,10]=>001011110=>9
[6,5,4,3,2,8,1,9,7,10]=>011110110=>9
[5,3,7,2,9,1,10,8,6,4]=>000111111=>9
[5,4,3,7,2,9,1,10,8,6]=>001101111=>9
[7,6,5,4,3,2,9,1,10,8]=>011111011=>9
[5,2,6,3,7,8,4,1]=>0011101=>7
[2,4,1,3,7,8,6,5]=>0010101=>7
[2,6,1,5,7,8,4,3]=>0010101=>7
[5,1,6,4,7,8,2,3]=>0001101=>7
[8,4,6,3,7,5,1,2]=>0001111=>7
[4,7,6,8,2,3,5,1]=>0001011=>7
[5,7,4,8,1,2,6,3]=>0000111=>7
[3,6,7,5,8,1,4,2]=>0010011=>7
[3,7,5,6,8,2,4,1]=>0010011=>7
[2,7,1,6,8,4,5,3]=>0001011=>7
[1,5,4,7,2,6,3,8]=>0001110=>7
[2,4,5,8,3,1,7,6]=>0100011=>7
[1,4,7,5,8,3,6,2]=>0000111=>7
[2,6,8,7,3,5,1,4]=>0001011=>7
[4,7,8,6,2,5,1,3]=>0001101=>7
[4,8,7,3,5,6,2,1]=>1000111=>7
[1,7,6,3,5,4,2,8]=>0011110=>7
[4,3,8,1,6,5,7,2]=>0010111=>7
[1,3,6,2,5,8,7,4]=>0000111=>7
[5,8,7,1,4,6,3,2]=>0100111=>7
[6,2,5,1,3,4,8,7]=>0001101=>7
[2,6,5,1,3,4,8,7]=>0001101=>7
[4,6,5,1,2,7,3,8]=>0001110=>7
[5,6,4,1,2,7,3,8]=>0010110=>7
[8,1,5,6,2,4,3,7]=>0010101=>7
[6,4,5,1,2,7,3,8]=>0001110=>7
[5,4,6,1,3,2,7,8]=>0101100=>7
[5,7,1,4,3,2,6,8]=>0110010=>7
[2,6,4,1,3,7,5,8]=>0010110=>7
[7,8,5,3,2,1,6,4]=>1101101=>7
[1,2,6,7,8,4,5,3]=>0001001=>7
[6,1,4,8,2,7,5,3]=>0001111=>7
[5,2,3,7,1,8,4,6]=>0001011=>7
[7,2,3,1,8,4,6,5]=>0100111=>7
[5,4,1,7,3,2,8,6]=>0111011=>7
[7,3,4,5,1,8,6,2]=>0001111=>7
[1,5,6,7,4,8,2,3]=>0000011=>7
[6,3,2,5,7,4,8,1]=>0100111=>7
[5,7,3,8,1,2,4,6]=>0000011=>7
[4,5,2,7,6,3,1,8]=>0101110=>7
[4,5,2,1,7,6,3,8]=>1001110=>7
[2,6,7,8,3,1,4,5]=>0100001=>7
[6,3,2,5,1,7,8,4]=>0101101=>7
[4,6,3,7,8,2,1,5]=>1000101=>7
[5,6,7,1,8,4,2,3]=>0010011=>7
[1,7,8,4,6,5,2,3]=>0001101=>7
[1,7,3,2,8,6,5,4]=>0101111=>7
[3,7,1,2,8,6,5,4]=>0001111=>7
[2,7,8,1,6,5,3,4]=>0001101=>7
[2,5,8,1,7,6,3,4]=>0000111=>7
[8,1,5,7,3,4,6,2]=>0000111=>7
[5,8,2,7,6,3,1,4]=>0100111=>7
[2,8,4,7,6,3,1,5]=>0100111=>7
[1,8,2,4,7,6,3,5]=>0000111=>7
[4,5,8,7,1,6,2,3]=>0000111=>7
[1,8,2,4,6,7,5,3]=>0001011=>7
[2,5,1,8,4,7,6,3]=>0001111=>7
[3,4,2,8,1,7,6,5]=>0010111=>7
[2,4,5,8,1,7,6,3]=>0000111=>7
[3,1,8,2,6,7,5,4]=>0101011=>7
[2,6,8,1,4,3,7,5]=>0010011=>7
[4,1,8,2,6,7,3,5]=>0010011=>7
[1,6,5,2,8,7,3,4]=>0001111=>7
[2,6,1,5,8,7,3,4]=>0000111=>7
[8,1,7,3,5,2,4,6]=>0001011=>7
[8,1,3,2,7,6,4,5]=>0100111=>7
[7,3,4,8,6,2,5,1]=>0001111=>7
[7,5,8,1,6,2,3,4]=>0000111=>7
[6,8,4,5,3,1,7,2]=>0101011=>7
[6,7,5,3,2,8,4,1]=>0111011=>7
[7,6,1,3,5,2,4,8]=>0001110=>7
[6,2,4,5,3,8,1,7]=>0001101=>7
[6,1,5,4,7,2,3,8]=>0001110=>7
[6,8,5,4,7,1,3,2]=>0101011=>7
[1,6,8,4,2,5,7,3]=>0010011=>7
[7,5,8,1,3,4,2,6]=>0010011=>7
[1,4,2,8,3,5,7,6]=>0010011=>7
[1,3,5,4,8,7,2,6]=>0001011=>7
[1,6,2,4,8,3,7,5]=>0000111=>7
[1,7,8,5,4,2,6,3]=>0011101=>7
[1,5,2,8,6,4,7,3]=>0001111=>7
[1,6,5,2,7,4,8,3]=>0001111=>7
[5,1,6,7,4,2,8,3]=>0011011=>7
[6,8,1,5,2,3,7,4]=>0001011=>7
[1,5,4,2,8,6,7,3]=>0011011=>7
[1,8,5,4,6,2,7,3]=>0001111=>7
[1,7,5,4,6,2,8,3]=>0001111=>7
[5,8,4,1,6,2,7,3]=>0010111=>7
[6,4,5,1,7,2,8,3]=>0001111=>7
[4,8,1,3,7,6,2,5]=>0000111=>7
[4,5,3,1,2,8,7,6]=>0101011=>7
[6,4,2,3,1,8,7,5]=>0110111=>7
[6,5,2,1,3,8,7,4]=>1001111=>7
[7,6,1,8,2,5,3,4]=>0001111=>7
[8,4,2,3,7,6,1,5]=>0010111=>7
[5,7,8,1,2,4,3,6]=>0010001=>7
[1,7,6,8,3,5,4,2]=>0011011=>7
[5,7,6,4,2,1,3,8]=>1010110=>7
[6,5,7,4,1,3,2,8]=>0110110=>7
[4,6,1,8,3,5,2,7]=>0001101=>7
[7,1,6,8,2,5,4,3]=>0011011=>7
[4,7,1,8,3,2,5,6]=>0100011=>7
[4,8,3,6,1,5,2,7]=>0001101=>7
[1,7,8,6,4,5,3,2]=>0101101=>7
[3,2,8,6,4,5,1,7]=>0101101=>7
[8,4,3,6,2,5,1,7]=>0011101=>7
[1,6,8,7,4,3,5,2]=>0011011=>7
[3,1,2,6,8,7,5,4]=>0101011=>7
[5,7,4,2,1,8,6,3]=>1010111=>7
[8,6,5,7,2,4,3,1]=>0110111=>7
[7,4,6,1,8,5,3,2]=>0101111=>7
[7,4,6,3,8,1,5,2]=>0001111=>7
[7,4,8,1,6,3,2,5]=>0100111=>7
[7,4,8,3,6,2,1,5]=>1000111=>7
[6,4,8,2,3,5,7,1]=>0000111=>7
[6,4,8,2,5,7,1,3]=>0000111=>7
[6,2,4,5,8,3,7,1]=>0000111=>7
[6,8,2,4,7,3,5,1]=>0001011=>7
[8,4,6,2,7,1,3,5]=>0000111=>7
[6,8,4,2,7,1,3,5]=>0010011=>7
[6,8,2,4,1,7,3,5]=>0010011=>7
[7,5,1,6,2,4,8,3]=>0001111=>7
[4,2,5,7,1,6,8,3]=>0010011=>7
[2,4,8,5,6,7,3,1]=>0100011=>7
[4,5,2,3,8,7,1,6]=>0001011=>7
[2,5,4,7,6,1,3,8]=>0001110=>7
[5,2,3,7,6,1,4,8]=>0001110=>7
[4,2,3,7,6,1,5,8]=>0010110=>7
[4,2,7,3,5,1,6,8]=>0011010=>7
[5,6,2,3,8,4,7,1]=>0000111=>7
[5,6,2,3,1,7,8,4]=>0100101=>7
[5,7,2,3,4,1,6,8]=>0010010=>7
[6,2,7,3,5,1,4,8]=>0001110=>7
[7,2,6,3,5,1,4,8]=>0001110=>7
[6,5,2,3,1,7,8,4]=>0101101=>7
[6,5,2,3,8,4,7,1]=>0001111=>7
[7,5,2,1,4,6,8,3]=>1001011=>7
[8,5,2,3,1,6,4,7]=>0101101=>7
[8,6,2,3,1,5,4,7]=>0101101=>7
[8,2,6,3,1,7,4,5]=>0100111=>7
[1,6,3,4,2,7,5,8]=>0010110=>7
[8,5,2,7,3,4,6,1]=>0001111=>7
[1,7,2,4,5,6,8,3]=>0000011=>7
[1,8,3,2,5,6,4,7]=>0100101=>7
[7,2,8,1,4,6,3,5]=>0000111=>7
[2,7,8,1,5,6,3,4]=>0000101=>7
[6,8,2,3,1,5,4,7]=>0101001=>7
[5,8,2,3,1,6,4,7]=>0100101=>7
[5,7,2,1,4,6,8,3]=>1000011=>7
[4,2,7,1,5,6,8,3]=>0010011=>7
[4,2,3,8,1,7,5,6]=>0010011=>7
[4,2,1,5,3,7,6,8]=>1011010=>7
[5,1,3,8,4,6,7,2]=>0001011=>7
[5,1,3,2,6,7,8,4]=>0101001=>7
[5,1,3,4,2,7,6,8]=>0011010=>7
[6,1,3,4,2,7,5,8]=>0010110=>7
[7,2,1,3,5,8,4,6]=>1000011=>7
[6,8,7,2,3,4,5,1]=>0001011=>7
[1,9,8,10,7,6,5,4,3,2]=>011111011=>9
[2,8,7,9,6,5,4,3,1]=>01111011=>8
[3,7,2,8,1,4,5,6]=>0000011=>7
[5,2,3,7,4,6,1,8]=>0001110=>7
[2,5,3,7,4,6,1,8]=>0001110=>7
[2,6,7,3,4,5,1,8]=>0001010=>7
[6,2,7,3,4,5,1,8]=>0001110=>7
[3,8,4,5,2,1,6,7]=>1001001=>7
[2,7,6,3,4,5,1,8]=>0001110=>7
[2,8,7,5,1,3,4,6]=>0001011=>7
[3,1,2,9,4,5,6,7,8]=>01000001=>8
[4,1,2,3,9,5,6,7,8]=>00100001=>8
[5,1,2,3,4,9,6,7,8]=>00010001=>4
[6,1,2,3,4,5,9,7,8]=>00001001=>8
[2,1,10,3,4,5,6,7,8,9]=>100000001=>9
[3,1,2,10,4,5,6,7,8,9]=>010000001=>9
[3,4,1,2,9,5,6,7,8]=>00100001=>8
[4,1,2,3,10,5,6,7,8,9]=>001000001=>9
[4,5,1,2,3,9,6,7,8]=>00010001=>4
[5,1,2,3,4,10,6,7,8,9]=>000100001=>9
[5,6,1,2,3,4,9,7,8]=>00001001=>8
[6,1,2,3,4,5,10,7,8,9]=>000010001=>9
[6,7,1,2,3,4,5,9,8]=>00000101=>8
[7,1,2,3,4,5,6,10,8,9]=>000001001=>9
[4,5,7,2,8,3,6,1]=>0000111=>7
[9,7,5,3,1,8,6,4,2]=>01111111=>8
[9,6,3,8,5,2,7,4,1]=>00111111=>8
[8,5,2,9,6,3,7,4,1]=>00111111=>8
[9,5,1,6,2,7,3,8,4]=>00011111=>8
[9,5,1,8,4,7,3,6,2]=>00011111=>8
[8,4,7,3,6,2,9,5,1]=>00011111=>8
[7,3,8,4,6,2,9,5,1]=>00011111=>8
[9,4,7,2,5,8,3,6,1]=>00001111=>8
[9,4,6,1,8,3,5,7,2]=>00001111=>8
[8,3,5,7,2,9,4,6,1]=>00001111=>8
[7,2,8,3,9,4,5,6,1]=>00001111=>8
[8,3,7,2,9,4,5,6,1]=>00001111=>8
[5,8,3,7,2,9,4,6,1]=>00001111=>8
[4,5,6,9,3,8,2,7,1]=>00000111=>8
[4,5,6,8,2,9,3,7,1]=>00000111=>8
[9,3,6,5,4,7,1,8,2]=>00011111=>8
[8,2,9,3,6,5,4,7,1]=>00011111=>8
[6,5,4,8,2,9,3,7,1]=>00011111=>8
[5,6,4,8,2,9,3,7,1]=>00001111=>8
[9,2,7,4,5,6,3,8,1]=>00001111=>8
[7,4,5,6,3,9,2,8,1]=>00001111=>8
[5,7,4,6,3,9,2,8,1]=>00001111=>8
[10,8,6,4,2,9,7,5,3,1]=>011111111=>9
[10,7,4,1,8,5,2,9,6,3]=>001111111=>9
[9,6,3,8,5,2,10,7,4,1]=>001111111=>9
[9,5,1,7,3,10,6,2,8,4]=>000111111=>9
[10,6,2,7,3,8,4,9,5,1]=>000111111=>9
[7,3,8,4,10,6,2,9,5,1]=>000111111=>9
[8,4,7,3,10,6,2,9,5,1]=>000111111=>9
[10,5,8,3,6,1,9,4,7,2]=>000011111=>9
[9,4,7,2,10,5,8,3,6,1]=>000011111=>9
[10,5,7,2,8,3,9,4,6,1]=>000011111=>9
[8,3,10,5,7,2,9,4,6,1]=>000011111=>9
[8,3,9,4,7,2,10,5,6,1]=>000011111=>9
[9,3,5,7,1,10,4,6,8,2]=>000001111=>9
[10,4,6,8,2,9,3,5,7,1]=>000001111=>9
[10,4,5,6,7,1,8,2,9,3]=>000001111=>9
[8,2,9,3,10,4,5,6,7,1]=>000001111=>9
[9,3,8,2,10,4,5,6,7,1]=>000001111=>9
[5,6,9,3,7,1,10,4,8,2]=>000001111=>9
[5,6,10,4,8,2,9,3,7,1]=>000001111=>9
[5,6,9,3,8,2,10,4,7,1]=>000001111=>9
[6,5,9,3,8,2,10,4,7,1]=>000011111=>9
[9,2,7,6,5,4,10,3,8,1]=>000111111=>9
[10,3,7,6,5,4,8,1,9,2]=>000111111=>9
[9,2,10,3,7,6,5,4,8,1]=>000111111=>9
[7,6,5,4,9,2,10,3,8,1]=>000111111=>9
[6,4,7,5,10,3,9,2,8,1]=>000011111=>9
[6,4,7,5,9,2,10,3,8,1]=>000011111=>9
[7,5,6,4,9,2,10,3,8,1]=>000011111=>9
[6,5,7,4,9,2,10,3,8,1]=>000011111=>9
[5,6,7,3,8,4,9,1,10,2]=>000001111=>9
[5,6,7,3,8,4,10,2,9,1]=>000001111=>9
[5,6,8,4,7,3,10,2,9,1]=>000001111=>9
[6,5,8,4,7,3,10,2,9,1]=>000011111=>9
[5,2,1,3,6,7,8,4]=>1001001=>7
[1,6,5,7,2,8,3,4]=>0000111=>7
[7,5,2,6,1,8,4,3]=>0011111=>7
[6,1,5,2,7,8,4,3]=>0011101=>7
[1,6,5,7,2,8,4,3]=>0010111=>7
[1,5,4,6,2,8,7,3]=>0001111=>7
[1,5,4,6,2,8,3,7]=>0001101=>7
[1,5,6,4,8,2,3,7]=>0000101=>7
[6,2,1,5,8,4,7,3]=>1000111=>7
[7,5,6,8,4,1,3,2]=>0110011=>7
[8,3,7,5,1,4,2,6]=>0011011=>7
[8,1,5,7,3,6,2,4]=>0000111=>7
[8,3,2,6,4,5,1,7]=>0101101=>7
[8,5,3,7,4,1,2,6]=>0011011=>7
[8,5,6,2,7,1,3,4]=>0000111=>7
[8,4,7,2,6,5,1,3]=>0001111=>7
[8,5,7,3,2,6,1,4]=>0100111=>7
[8,1,2,3,6,4,7,5]=>0000111=>7
[7,6,2,3,5,8,1,4]=>0000111=>7
[4,5,3,7,8,1,6,2]=>0001101=>7
[3,4,2,8,1,6,7,5]=>0010011=>7
[8,3,4,1,5,7,6,2]=>0010111=>7
[4,3,7,5,1,6,2,8]=>0011110=>7
[5,2,6,1,4,3,7,8]=>0011100=>7
[3,5,2,8,6,7,4,1]=>0011011=>7
[5,3,7,4,2,8,6,1]=>0011111=>7
[7,4,8,2,3,5,6,1]=>0000111=>7
[5,6,2,8,7,1,4,3]=>0010111=>7
[4,6,3,5,2,7,8,1]=>0001101=>7
[4,1,6,3,5,7,2,8]=>0010110=>7
[3,1,5,7,4,6,8,2]=>0100011=>7
[7,2,5,8,6,1,4,3]=>0010111=>7
[4,3,6,1,5,7,8,2]=>0010101=>7
[3,5,4,1,2,6,7,8]=>0011000=>7
[5,3,1,4,6,7,8,2]=>0101001=>7
[4,6,7,1,3,5,8,2]=>0000011=>7
[5,6,1,3,4,7,2,8]=>0000110=>7
[2,5,3,7,8,4,6,1]=>0001101=>7
[4,6,2,1,3,7,8,5]=>1000101=>7
[3,6,2,4,1,7,5,8]=>0010110=>7
[3,2,6,7,4,8,5,1]=>0101011=>7
[7,1,3,8,4,5,2,6]=>0001011=>7
[7,1,8,3,4,6,2,5]=>0000111=>7
[6,3,2,7,5,8,4,1]=>0110111=>7
[6,2,7,1,4,5,3,8]=>0001110=>7
[4,2,6,1,5,7,3,8]=>0010110=>7
[2,5,4,1,3,6,7,8]=>0011000=>7
[5,4,1,2,6,7,3,8]=>0011010=>7
[6,5,2,7,4,1,3,8]=>0011110=>7
[6,5,7,3,1,4,2,8]=>0110110=>7
[6,7,4,3,1,5,8,2]=>0110011=>7
[4,2,5,6,7,8,9,1,3]=>00100001=>8
[3,1,6,7,8,4,5,2]=>0101001=>7
[7,4,5,6,2,1,8,3]=>1000111=>7
[4,2,5,6,7,8,9,10,1,3]=>001000001=>9
[3,4,5,6,7,8,9,10,1,11,2]=>0000000011=>10
[6,4,5,2,7,1,8,3]=>0001111=>7
[3,7,5,6,2,1,8,4]=>1000111=>7
[1,7,6,3,8,4,5,2]=>0001111=>7
[6,4,1,2,7,8,3,5]=>0010101=>7
[6,4,1,3,5,2,7,8]=>0011100=>7
[5,1,8,3,4,6,2,7]=>0001101=>7
[4,5,8,2,3,7,1,6]=>0000011=>7
[7,3,4,8,2,5,1,6]=>0001011=>7
[4,7,2,5,1,6,8,3]=>0001011=>7
[6,5,4,7,2,8,3,1]=>0101111=>7
[3,2,4,6,5,8,1,7]=>0100101=>7
[3,5,4,8,7,1,6,2]=>0001111=>7
[7,5,2,1,6,3,4,8]=>1001110=>7
[6,3,1,7,4,2,5,8]=>0110110=>7
[8,7,2,1,5,3,6,4]=>1001111=>7
[6,8,5,3,7,4,2,1]=>1011011=>7
[7,2,8,1,5,6,4,3]=>0010111=>7
[8,3,6,4,1,5,7,2]=>0010111=>7
[7,5,6,1,4,8,2,3]=>0000111=>7
[5,7,2,6,3,8,4,1]=>0010111=>7
[8,4,1,2,3,6,7,5]=>0010011=>7
[5,6,4,2,1,8,3,7]=>1010101=>7
[6,8,1,3,2,7,5,4]=>0101011=>7
[5,7,3,6,4,1,2,8]=>0010110=>7
[7,2,4,3,8,1,5,6]=>0010011=>7
[2,5,4,6,1,3,8,7]=>0001101=>7
[2,4,3,5,8,1,6,7]=>0010001=>7
[2,6,5,3,8,1,4,7]=>0001101=>7
[6,1,2,4,3,5,7,8]=>0010100=>7
[1,7,6,8,4,3,2,5]=>0110011=>7
[1,7,6,5,3,8,2,4]=>0001111=>7
[6,1,2,4,3,5,8,7]=>0010101=>7
[4,6,1,3,7,8,5,2]=>0001101=>7
[8,4,1,5,2,6,7,3]=>0011011=>7
[1,5,6,3,8,7,2,4]=>0000111=>7
[5,3,2,6,8,7,1,4]=>0101011=>7
[6,3,5,2,7,1,4,8]=>0001110=>7
[8,5,2,6,7,1,4,3]=>0011011=>7
[5,3,8,7,1,4,2,6]=>0011011=>7
[6,4,5,3,1,8,7,2]=>0101111=>7
[8,5,1,2,3,6,7,4]=>0001011=>7
[2,8,6,1,5,4,7,3]=>0001111=>7
[8,3,2,6,1,5,7,4]=>0100111=>7
[3,8,6,4,7,1,2,5]=>0000111=>7
[1,8,7,5,4,3,2,6]=>0111011=>7
[8,6,4,7,1,3,2,5]=>0100111=>7
[3,1,4,7,6,2,5,8]=>0100110=>7
[5,3,4,1,6,2,7,8]=>0011100=>7
[2,7,1,4,6,3,5,8]=>0000110=>7
[7,3,1,6,5,2,4,8]=>0101110=>7
[7,1,5,2,4,6,3,8]=>0001110=>7
[6,1,4,5,2,7,3,8]=>0001110=>7
[6,1,5,8,2,7,4,3]=>0010111=>7
[7,1,2,3,6,4,5,8]=>0000110=>7
[7,1,2,3,9,5,6,10,8,4]=>000001111=>9
[6,1,2,9,4,5,3,10,8,7]=>000110111=>9
[9,1,2,3,8,5,10,7,6,4]=>000011111=>9
[9,1,2,8,4,3,10,7,5,6]=>001001111=>9
[8,1,2,7,4,10,6,5,3,9]=>000111101=>9
[9,1,8,3,2,5,10,7,4,6]=>010001111=>9
[8,1,7,3,2,10,6,4,5,9]=>010011101=>9
[7,1,2,3,10,5,6,9,8,4]=>000001111=>9
[6,1,2,10,4,5,3,9,8,7]=>000110111=>9
[8,1,2,3,10,5,9,6,7,4]=>000001111=>9
[8,1,2,10,4,3,9,5,7,6]=>001001111=>9
[7,1,2,10,4,9,5,3,6,8]=>000101011=>9
[8,1,10,3,2,5,9,4,7,6]=>010001111=>9
[7,1,10,3,2,9,4,5,6,8]=>010001011=>9
[10,1,2,3,9,5,8,7,6,4]=>000011111=>9
[10,1,2,9,4,3,8,7,5,6]=>001001111=>9
[10,1,2,9,4,8,3,6,5,7]=>000010111=>9
[9,1,2,8,4,7,6,5,3,10]=>000111110=>9
[10,1,9,3,2,5,8,7,4,6]=>010001111=>9
[10,1,9,3,2,8,5,6,4,7]=>010010111=>9
[9,1,8,3,2,7,6,4,5,10]=>010011110=>9
[8,1,2,3,10,9,5,7,6,4]=>000011111=>9
[8,1,2,10,3,9,4,7,6,5]=>000011111=>9
[7,1,2,10,9,4,6,3,5,8]=>000011011=>9
[8,1,10,2,4,9,3,7,6,5]=>000011111=>9
[7,1,10,2,9,3,6,4,5,8]=>000011011=>9
[10,1,2,3,9,8,5,6,7,4]=>000001111=>9
[10,1,2,9,3,8,4,6,7,5]=>000001111=>9
[10,1,2,9,8,4,3,5,6,7]=>001000111=>9
[9,1,2,8,7,4,5,6,3,10]=>000011110=>9
[10,1,9,2,4,8,3,6,7,5]=>000001111=>9
[10,1,9,2,8,3,4,5,6,7]=>000000111=>9
[9,1,8,2,7,3,5,6,4,10]=>000011110=>9
[10,1,9,8,3,2,6,4,5,7]=>010010111=>9
[9,1,8,7,3,2,4,5,6,10]=>010001110=>9
[8,10,1,3,4,9,2,7,6,5]=>000011011=>9
[7,10,1,3,9,2,6,4,5,8]=>000010011=>9
[10,9,1,3,4,8,2,6,7,5]=>000001111=>9
[10,9,1,3,8,2,4,5,6,7]=>000000111=>9
[9,8,1,3,7,2,5,6,4,10]=>000011110=>9
[10,9,1,8,2,3,6,4,5,7]=>000010111=>9
[9,8,1,7,2,3,4,5,6,10]=>000001110=>9
[6,3,1,8,5,4,7,2]=>0101111=>7
[6,1,3,8,7,4,5,2]=>0001111=>7
[2,8,4,6,5,1,7,3]=>0001111=>7
[7,4,1,3,6,5,2,8]=>0011110=>7
[5,7,2,8,1,3,6,4]=>0000111=>7
[5,4,1,2,6,3,8,7]=>0011101=>7
[6,5,1,4,7,3,2,8]=>0101110=>7
[2,7,8,4,1,3,6,5]=>0010101=>7
[2,4,6,5,7,8,1,3]=>0000101=>7
[2,4,6,7,5,8,1,3]=>0000011=>7
[2,4,6,3,7,8,1,5]=>0000101=>7
[2,4,5,6,8,7,1,3]=>0000011=>7
[2,4,5,6,8,3,7,1]=>0000011=>7
[2,4,5,6,3,8,1,7]=>0000101=>7
[2,3,4,6,8,5,1,7]=>0001001=>7
[5,2,8,3,4,1,6,7]=>0011001=>7
[3,6,4,1,2,7,8,5]=>0010101=>7
[4,1,7,3,8,6,2,5]=>0010111=>7
[8,4,1,2,5,3,7,6]=>0011011=>7
[1,5,2,7,6,8,4,3]=>0011011=>7
[4,7,6,8,3,1,2,5]=>0100011=>7
[4,8,2,7,6,5,1,3]=>0001111=>7
[7,4,2,8,6,5,1,3]=>0011111=>7
[8,6,5,2,7,1,4,3]=>0011111=>7
[6,5,8,2,7,1,4,3]=>0010111=>7
[7,5,8,2,1,6,4,3]=>1010111=>7
[3,2,1,6,5,8,4,7]=>1100101=>7
[2,6,4,8,5,7,3,1]=>0100111=>7
[6,3,1,4,5,8,2,7]=>0100101=>7
[3,4,8,5,2,1,7,6]=>1001011=>7
[4,8,7,1,3,2,6,5]=>0100111=>7
[5,8,7,4,6,1,3,2]=>0100111=>7
[3,4,1,8,7,6,2,5]=>0010111=>7
[1,3,5,6,8,7,2,4]=>0000011=>7
[2,8,7,5,4,1,6,3]=>0011111=>7
[8,1,5,7,4,2,6,3]=>0010111=>7
[5,8,7,3,4,1,6,2]=>0010111=>7
[4,6,1,3,2,8,5,7]=>0100101=>7
[2,6,5,8,3,1,4,7]=>0100101=>7
[6,7,8,2,4,5,3,1]=>0101001=>7
[3,2,8,4,5,7,1,6]=>0100011=>7
[6,1,8,2,4,5,3,7]=>0001101=>7
[8,3,6,4,2,7,1,5]=>0010111=>7
[1,3,8,4,7,6,2,5]=>0000111=>7
[8,3,7,5,4,1,2,6]=>0011011=>7
[2,6,4,7,8,5,1,3]=>0001101=>7
[5,4,3,7,6,1,8,2]=>0011111=>7
[8,6,3,7,1,4,2,5]=>0010111=>7
[3,1,2,8,7,6,4,5]=>0100111=>7
[8,5,4,1,2,3,7,6]=>0011011=>7
[8,3,2,1,6,4,7,5]=>1100111=>7
[2,3,8,4,1,7,5,6]=>0010011=>7
[4,6,1,3,2,7,8,5]=>0100101=>7
[6,7,2,5,8,4,1,3]=>0010011=>7
[4,1,7,8,2,5,6,3]=>0010101=>7
[3,4,6,7,1,5,8,2]=>0000011=>7
[3,4,5,7,8,1,6,2]=>0000101=>7
[1,8,7,4,3,5,2,6]=>0011011=>7
[2,4,5,8,1,3,7,6]=>0000011=>7
[2,7,8,6,5,3,1,4]=>0101101=>7
[6,3,1,5,8,4,2,7]=>0110101=>7
[2,8,3,5,6,1,4,7]=>0000101=>7
[1,3,6,4,2,7,5,8]=>0010110=>7
[2,3,7,5,8,1,4,6]=>0000011=>7
[3,2,8,5,6,1,4,7]=>0100101=>7
[7,2,5,8,1,4,6,3]=>0000111=>7
[4,7,5,8,1,2,6,3]=>0000111=>7
[4,7,5,8,1,2,3,6]=>0000011=>7
[3,4,7,5,2,8,1,6]=>0001011=>7
[4,3,2,5,7,8,1,6]=>0110001=>7
[2,4,7,5,8,3,1,6]=>0100011=>7
[2,5,4,7,3,8,1,6]=>0001011=>7
[3,7,8,4,2,1,6,5]=>1010101=>7
[5,6,7,9,1,2,3,4,8]=>00000001=>8
[4,5,6,7,9,1,2,3,8]=>00000001=>8
[7,8,10,1,2,3,4,5,6,9]=>000000001=>9
[4,5,6,7,8,10,1,2,3,9]=>000000001=>9
[8,5,4,7,6,3,1,2]=>0101111=>7
[1,5,4,8,7,6,2,3]=>0001111=>7
[3,2,4,5,8,1,6,7]=>0100001=>7
[3,6,8,4,2,7,1,5]=>0010011=>7
[1,4,7,6,3,8,2,5]=>0000111=>7
[3,6,5,1,7,2,8,4]=>0001111=>7
[7,4,1,6,2,8,5,3]=>0011111=>7
[1,3,6,8,2,4,7,5]=>0000011=>7
[1,6,7,4,3,8,2,5]=>0010011=>7
[7,3,1,6,5,2,8,4]=>0101111=>7
[8,5,4,1,6,2,7,3]=>0011111=>7
[4,7,2,8,5,1,6,3]=>0001111=>7
[7,8,6,2,1,5,4,3]=>1011101=>7
[8,6,2,7,3,5,1,4]=>0001111=>7
[2,1,3,8,7,5,6,4]=>1000111=>7
[8,1,7,3,6,5,2,4]=>0001111=>7
[1,6,5,7,4,8,3,9,2]=>00001111=>8
[5,4,6,3,8,2,7,1,9]=>00011110=>8
[1,6,7,5,8,4,9,3,10,2]=>000001111=>9
[6,5,7,4,8,3,9,2,10,1,11]=>0000111110=>10
[1,6,4,7,3,8,5,2]=>0001111=>7
[1,7,6,8,5,9,4,10,3,11,2]=>0000011111=>10
[1,2,3,4,5,6,8,10,7,9]=>000000001=>9
[3,4,5,6,7,8,2,1,9]=>10000010=>8
[3,4,5,6,7,2,1,8,9]=>10000100=>8
[4,5,6,7,8,1,2,3,9]=>00000010=>8
[4,8,1,6,3,7,2,5]=>0000111=>7
[8,5,4,1,6,3,7,2]=>0011111=>7
[1,7,6,2,4,8,5,3]=>0001111=>7
[5,7,3,2,4,8,6,1]=>0100111=>7
[2,6,8,5,4,3,1,7]=>0111001=>7
[2,8,4,6,3,5,1,7]=>0001101=>7
[2,7,8,3,6,4,5,1]=>0001101=>7
[3,8,1,4,6,5,2,7]=>0001101=>7
[2,7,5,4,1,8,3,6]=>0011011=>7
[4,6,1,8,5,3,2,7]=>0101101=>7
[3,8,5,2,1,6,4,7]=>1001101=>7
[5,1,4,8,2,6,3,7]=>0001101=>7
[4,5,8,1,3,7,6,2]=>0000111=>7
[8,6,7,1,4,3,2,5]=>0110011=>7
[1,4,7,8,6,3,5,2]=>0001101=>7
[8,5,2,6,3,4,7,1]=>0001111=>7
[8,3,6,1,2,7,4,5]=>0000111=>7
[3,8,6,1,2,5,7,4]=>0000111=>7
[3,7,6,2,1,8,5,4]=>1001111=>7
[4,3,7,6,1,8,5,2]=>0011111=>7
[8,6,3,2,7,1,5,4]=>0101111=>7
[6,8,1,5,4,7,2,3]=>0001011=>7
[6,7,2,5,4,8,1,3]=>0001011=>7
[7,6,2,4,8,5,1,3]=>0001111=>7
[4,6,8,7,3,1,2,5]=>0100011=>7
[4,7,5,2,6,3,8,1]=>0001111=>7
[3,5,6,2,8,1,4,7]=>0000101=>7
[8,9,10,4,5,6,2,3,1,7]=>010010001=>9
[8,9,4,5,6,10,2,3,1,7]=>010000011=>9
[8,9,10,4,5,2,3,6,1,7]=>000110001=>9
[8,9,4,5,10,2,3,6,1,7]=>000010011=>9
[8,9,4,5,2,3,6,10,1,7]=>000100011=>9
[8,4,5,9,10,2,3,6,1,7]=>000010101=>9
[8,4,5,9,2,3,6,10,1,7]=>000000111=>9
[8,9,10,4,5,6,2,1,3,7]=>100010001=>9
[8,9,4,5,6,10,2,1,3,7]=>100000011=>9
[8,9,10,4,5,2,6,1,3,7]=>000110001=>9
[8,9,4,5,10,2,6,1,3,7]=>000010011=>9
[8,9,4,5,2,6,10,1,3,7]=>000100011=>9
[8,4,5,9,10,2,6,1,3,7]=>000010101=>9
[8,4,5,9,2,6,10,1,3,7]=>000000111=>9
[8,9,10,4,5,2,1,3,6,7]=>100100001=>9
[8,9,4,5,10,2,1,3,6,7]=>100000011=>9
[8,9,4,5,2,10,1,3,6,7]=>000100011=>9
[8,9,4,5,2,1,3,6,10,7]=>100100011=>9
[8,4,5,9,10,2,1,3,6,7]=>100000101=>9
[8,4,5,9,2,10,1,3,6,7]=>000000111=>9
[8,4,5,9,2,1,3,6,10,7]=>100000111=>9
[8,9,10,4,2,5,6,1,3,7]=>001010001=>9
[8,9,4,10,2,5,6,1,3,7]=>000010011=>9
[8,9,4,2,5,6,10,1,3,7]=>001000011=>9
[8,4,9,10,2,5,6,1,3,7]=>000010101=>9
[8,4,9,2,5,6,10,1,3,7]=>000000111=>9
[8,9,10,4,2,5,1,3,6,7]=>001100001=>9
[8,9,4,10,2,5,1,3,6,7]=>000100011=>9
[8,9,4,2,5,10,1,3,6,7]=>001000011=>9
[8,9,4,2,5,1,3,6,10,7]=>001100011=>9
[8,4,9,10,2,5,1,3,6,7]=>000100101=>9
[8,4,9,2,5,1,3,6,10,7]=>000100111=>9
[8,4,2,5,9,10,1,3,6,7]=>001000101=>9
[8,4,2,5,9,1,3,6,10,7]=>001000111=>9
[4,8,9,10,2,5,6,1,3,7]=>000010001=>9
[4,8,9,2,5,6,10,1,3,7]=>000000011=>9
[4,8,9,10,2,5,1,3,6,7]=>000100001=>9
[4,8,9,2,5,10,1,3,6,7]=>000000011=>9
[4,8,9,2,5,1,3,6,10,7]=>000100011=>9
[4,8,2,5,9,10,1,3,6,7]=>000000101=>9
[4,8,2,5,9,1,3,6,10,7]=>000000111=>9
[5,1,2,4,3,7,6,8]=>0011010=>7
[6,1,8,2,4,3,5,7]=>0010101=>7
[1,6,8,2,5,3,4,7]=>0001001=>7
[8,7,6,2,4,5,1,3]=>0001111=>7
[8,7,6,2,4,5,3,1]=>0101111=>7
[5,4,8,7,1,2,6,3]=>0001111=>7
[2,5,6,4,3,8,1,7]=>0010101=>7
[8,7,3,5,1,4,6,2]=>0001111=>7
[8,6,3,5,2,1,4,7]=>1001101=>7
[8,7,3,5,2,4,6,1]=>0001111=>7
[8,4,2,7,6,5,1,3]=>0011111=>7
[4,6,3,8,5,2,7,1]=>0001111=>7
[8,7,1,4,5,6,2,3]=>0000111=>7
[4,1,3,8,5,6,2,7]=>0010101=>7
[5,2,8,3,1,6,7,4]=>0101011=>7
[1,7,8,6,3,2,5,4]=>0101101=>7
[3,7,2,4,5,6,1,8]=>0000110=>7
[3,2,8,1,5,7,4,6]=>0100011=>7
[3,4,6,7,2,1,5,8]=>1000010=>7
[2,6,7,1,4,3,8,5]=>0010011=>7
[4,2,5,3,8,6,7,1]=>0011011=>7
[3,2,7,4,8,5,6,1]=>0100111=>7
[7,2,5,1,6,3,8,4]=>0001111=>7
[6,3,8,5,4,2,7,1]=>0011111=>7
[7,4,6,1,3,5,2,8]=>0001110=>7
[1,5,3,8,7,4,6,2]=>0001111=>7
[5,1,3,8,7,4,6,2]=>0001111=>7
[2,5,3,8,7,4,1,6]=>0011011=>7
[6,8,3,5,1,2,7,4]=>0001011=>7
[5,8,2,7,4,6,3,1]=>0100111=>7
[4,5,2,8,3,7,1,6]=>0001011=>7
[7,8,5,1,6,4,3,2]=>0111101=>7
[8,7,5,1,6,4,3,2]=>0111111=>7
[4,5,8,3,1,2,7,6]=>0100011=>7
[4,6,8,3,2,1,7,5]=>1100011=>7
[4,6,8,3,5,1,2,7]=>0001001=>7
[1,4,6,3,7,5,2,8]=>0001110=>7
[4,5,2,6,8,7,3,1]=>0101011=>7
[1,7,6,3,8,5,2,4]=>0001111=>7
[1,3,8,7,4,5,6,2]=>0000111=>7
[7,3,1,8,4,5,6,2]=>0100111=>7
[3,2,8,7,4,5,6,1]=>0100111=>7
[6,2,4,3,7,5,8,1]=>0010111=>7
[6,4,2,5,1,7,8,3]=>0011101=>7
[3,8,2,1,5,7,6,4]=>1000111=>7
[1,3,2,8,7,4,6,5]=>0100111=>7
[7,5,2,8,3,1,6,4]=>0101111=>7
[5,4,2,7,3,8,6,1]=>0011111=>7
[4,6,3,7,8,1,2,5]=>0000101=>7
[8,3,5,4,7,1,2,6]=>0001011=>7
[6,2,5,4,1,7,8,3]=>0011101=>7
[4,1,5,6,3,8,7,2]=>0010111=>7
[8,5,1,6,3,2,4,7]=>0101101=>7
[6,8,7,4,3,2,5,1]=>0111011=>7
[8,1,5,4,6,7,3,2]=>0101011=>7
[2,8,5,1,3,7,6,4]=>0001111=>7
[2,4,5,8,3,7,6,1]=>0000111=>7
[5,6,4,1,8,2,7,3]=>0010111=>7
[6,4,5,1,3,8,7,2]=>0001111=>7
[6,1,3,5,4,8,2,7]=>0001101=>7
[1,3,8,7,2,5,6,4]=>0000111=>7
[2,5,4,1,8,3,7,6]=>0011011=>7
[5,1,4,8,3,7,6,2]=>0001111=>7
[8,4,1,2,7,6,5,3]=>0011111=>7
[4,8,3,2,7,6,5,1]=>0101111=>7
[1,8,7,3,4,6,5,2]=>0001111=>7
[4,3,1,2,6,5,8,7,9]=>01101010=>8
[6,5,3,1,2,4,8,7,9]=>01011010=>8
[8,7,5,3,1,2,4,6,9]=>01010110=>8
[7,5,3,1,2,4,6,9,8]=>01010101=>2
[5,3,1,2,4,7,6,9,8]=>01010101=>2
[4,1,2,6,5,3,8,7,9]=>00111010=>8
[6,5,3,1,2,4,8,7,10,9]=>010110101=>9
[6,3,1,2,4,8,7,5,9]=>01001110=>8
[8,7,5,3,1,2,4,6,10,9]=>010101101=>9
[8,5,3,1,2,4,6,9,7]=>01010011=>8
[10,9,7,5,3,1,2,4,6,8]=>010101011=>9
[5,3,1,2,4,6,8,7]=>0101001=>7
[8,5,7,3,1,2,4,6]=>0100011=>7
[7,5,3,1,2,4,6,8,9]=>01010100=>8
[3,1,2,8,7,5,4,6]=>0101011=>7
[5,3,1,2,4,9,7,6,8]=>01010101=>2
[7,5,3,1,2,4,6,9,8,10]=>010101010=>9
[3,1,2,7,5,4,6,9,8]=>01010101=>2
[5,3,1,2,4,7,6,9,8,10]=>010101010=>9
[1,5,3,2,4,7,6,9,8]=>01010101=>2
[1,4,3,8,5,7,2,6]=>0010011=>7
[6,7,1,5,2,8,4,3]=>0011011=>7
[1,5,3,7,6,4,8,2]=>0001111=>7
[4,8,1,3,6,2,7,5]=>0000111=>7
[2,7,3,4,8,6,5,1]=>0001111=>7
[1,8,2,4,7,3,6,5]=>0000111=>7
[2,7,1,6,5,8,3,4]=>0000111=>7
[6,2,3,8,1,5,7,4]=>0000111=>7
[2,5,7,4,8,3,6,1]=>0000111=>7
[8,5,6,2,4,7,1,3]=>0000111=>7
[4,8,5,6,7,1,3,2]=>0100011=>7
[8,1,5,7,3,6,4,2]=>0010111=>7
[4,3,7,1,2,8,5,6]=>0010011=>7
[2,7,6,4,3,8,5,1]=>0011111=>7
[3,8,6,2,7,5,4,1]=>0011111=>7
[4,8,1,6,2,5,3,7]=>0001101=>7
[1,8,4,2,5,7,3,6]=>0010011=>7
[5,8,3,1,2,4,6,7]=>0100001=>7
[1,4,8,5,2,3,6,7]=>0001001=>7
[1,4,8,5,2,3,7,6]=>0001011=>7
[7,1,4,2,6,8,3,5]=>0010011=>7
[1,5,8,7,2,4,3,6]=>0010011=>7
[1,5,4,2,8,3,7,6]=>0011011=>7
[1,2,8,7,3,5,4,6]=>0001011=>7
[8,7,1,3,2,5,4,6]=>0101011=>7
[6,7,4,2,8,1,3,5]=>0010011=>7
[4,1,6,8,7,2,3,5]=>0010011=>7
[4,7,5,6,2,8,3,1]=>0100111=>7
[8,4,3,6,7,5,2,1]=>1011011=>7
[6,7,5,2,8,4,3,1]=>0111011=>7
[6,8,4,3,2,7,5,1]=>0111011=>7
[2,1,4,3,6,5,9,7,10,8]=>101010011=>9
[2,1,4,3,7,5,8,6,10,9]=>101001101=>9
[2,1,4,3,7,5,9,6,10,8]=>101001011=>9
[2,1,4,3,8,5,9,6,10,7]=>101000111=>9
[2,1,5,3,6,4,8,7,10,9]=>100110101=>9
[2,1,5,3,6,4,9,7,10,8]=>100110011=>9
[2,1,5,3,7,4,8,6,10,9]=>100101101=>9
[2,1,5,3,7,4,9,6,10,8]=>100101011=>9
[2,1,5,3,8,4,9,6,10,7]=>100100111=>9
[2,1,6,3,7,4,8,5,10,9]=>100011101=>9
[2,1,6,3,7,4,9,5,10,8]=>100011011=>9
[2,1,6,3,8,4,9,5,10,7]=>100010111=>9
[2,1,7,3,8,4,9,5,10,6]=>100001111=>9
[3,1,4,2,6,5,9,7,10,8]=>011010011=>9
[3,1,4,2,7,5,8,6,10,9]=>011001101=>9
[3,1,4,2,7,5,9,6,10,8]=>011001011=>9
[3,1,4,2,8,5,9,6,10,7]=>011000111=>9
[3,1,5,2,6,4,9,7,10,8]=>010110011=>9
[3,1,5,2,8,4,9,6,10,7]=>010100111=>9
[3,1,6,2,7,4,8,5,10,9]=>010011101=>9
[3,1,6,2,7,4,9,5,10,8]=>010011011=>9
[3,1,6,2,8,4,9,5,10,7]=>010010111=>9
[3,1,7,2,8,4,9,5,10,6]=>010001111=>9
[4,1,5,2,6,3,9,7,10,8]=>001110011=>9
[4,1,5,2,7,3,8,6,10,9]=>001101101=>9
[4,1,5,2,7,3,9,6,10,8]=>001101011=>9
[4,1,5,2,8,3,9,6,10,7]=>001100111=>9
[4,1,6,2,7,3,8,5,10,9]=>001011101=>9
[4,1,6,2,7,3,9,5,10,8]=>001011011=>9
[4,1,6,2,8,3,9,5,10,7]=>001010111=>9
[4,1,7,2,8,3,9,5,10,6]=>001001111=>9
[5,1,6,2,7,3,9,4,10,8]=>000111011=>9
[5,1,6,2,8,3,9,4,10,7]=>000110111=>9
[5,1,7,2,8,3,9,4,10,6]=>000101111=>9
[2,9,8,7,6,5,1,4,3]=>00111111=>8
[2,10,9,8,7,6,5,1,4,3]=>001111111=>9
[6,1,7,3,5,8,2,4]=>0000111=>7
[1,3,7,6,4,8,2,5]=>0000111=>7
[2,6,4,8,7,3,1,5]=>0100111=>7
[2,1,8,7,3,5,4,6]=>1001011=>7
[6,1,5,8,7,4,3,2]=>0110111=>7
[6,1,8,5,7,4,3,2]=>0110111=>7
[8,5,1,4,7,6,3,2]=>0101111=>7
[8,1,3,7,2,4,6,5]=>0000111=>7
[2,6,7,3,5,8,4,1]=>0010011=>7
[2,6,7,3,5,8,1,4]=>0000011=>7
[5,3,1,6,4,8,2,7]=>0101101=>7
[2,5,6,7,1,4,8,3]=>0000011=>7
[4,7,5,3,2,8,1,6]=>0101011=>7
[4,7,5,2,8,6,1,3]=>0001111=>7
[3,8,6,7,2,5,4,1]=>0011011=>7
[5,8,1,2,7,4,3,6]=>0010011=>7
[6,3,1,8,2,4,5,7]=>0100101=>7
[4,6,3,7,8,1,5,2]=>0001101=>7
[6,3,1,8,4,5,2,7]=>0101101=>7
[2,1,4,7,5,8,6,3]=>1000111=>7
[7,6,2,4,8,3,1,5]=>0100111=>7
[6,5,8,1,4,3,7,2]=>0010111=>7
[8,1,4,2,7,5,6,3]=>0010111=>7
[9,3,4,5,6,7,1,2,10,8]=>000001011=>9
[1,7,2,8,3,9,4,10,5,6]=>000001111=>9
[1,7,2,8,3,9,10,4,5,6]=>000001101=>9
[1,7,2,8,9,3,4,10,5,6]=>000001011=>9
[1,7,2,8,9,3,10,4,5,6]=>000001011=>9
[1,7,2,8,9,10,3,4,5,6]=>000001001=>9
[1,7,8,2,3,9,4,10,5,6]=>000000111=>9
[1,7,8,2,3,9,10,4,5,6]=>000000101=>9
[1,7,8,2,9,3,4,10,5,6]=>000000111=>9
[1,7,8,2,9,3,10,4,5,6]=>000000111=>9
[1,7,8,2,9,10,3,4,5,6]=>000000101=>9
[1,7,8,9,2,3,4,10,5,6]=>000000011=>9
[1,7,8,9,2,3,10,4,5,6]=>000000011=>9
[1,7,8,9,2,10,3,4,5,6]=>000000011=>9
[7,1,2,8,3,9,4,10,5,6]=>000001111=>9
[7,1,2,8,3,9,10,4,5,6]=>000001101=>9
[7,1,2,8,9,3,4,10,5,6]=>000001011=>9
[7,1,2,8,9,3,10,4,5,6]=>000001011=>9
[7,1,2,8,9,10,3,4,5,6]=>000001001=>9
[7,1,8,2,3,9,4,10,5,6]=>000001111=>9
[7,1,8,2,3,9,10,4,5,6]=>000001101=>9
[7,1,8,2,9,3,4,10,5,6]=>000001111=>9
[7,1,8,2,9,10,3,4,5,6]=>000001101=>9
[7,1,8,9,2,3,4,10,5,6]=>000001011=>9
[7,1,8,9,2,3,10,4,5,6]=>000001011=>9
[7,1,8,9,2,10,3,4,5,6]=>000001011=>9
[7,1,8,9,10,2,3,4,5,6]=>000001001=>9
[7,8,1,2,3,9,4,10,5,6]=>000000111=>9
[7,8,1,2,3,9,10,4,5,6]=>000000101=>9
[7,8,1,2,9,3,4,10,5,6]=>000000111=>9
[7,8,1,2,9,3,10,4,5,6]=>000000111=>9
[7,8,1,2,9,10,3,4,5,6]=>000000101=>9
[7,8,1,9,2,3,4,10,5,6]=>000000111=>9
[7,8,1,9,2,3,10,4,5,6]=>000000111=>9
[7,8,1,9,2,10,3,4,5,6]=>000000111=>9
[7,8,1,9,10,2,3,4,5,6]=>000000101=>9
[7,8,9,1,2,3,4,10,5,6]=>000000011=>9
[7,8,9,1,2,3,10,4,5,6]=>000000011=>9
[7,8,9,1,2,10,3,4,5,6]=>000000011=>9
[7,8,9,1,10,2,3,4,5,6]=>000000011=>9
[8,6,3,5,2,1,7,4]=>1001111=>7
[6,8,3,1,2,5,4,7]=>0101001=>7
[5,8,6,4,7,1,2,3]=>0000111=>7
[2,5,1,8,7,3,4,6]=>0001011=>7
[7,2,4,3,8,6,1,5]=>0010111=>7
[1,7,6,5,4,3,2,9,8]=>01111101=>8
[6,8,4,3,5,1,7,2]=>0011011=>7
[1,4,7,3,6,8,2,5]=>0000011=>7
[3,7,1,4,6,8,2,5]=>0000011=>7
[2,4,7,3,6,8,1,5]=>0000011=>7
[8,5,7,6,1,3,2,4]=>0100111=>7
[2,7,5,6,1,8,4,3]=>0010111=>7
[1,2,6,7,4,5,8,3]=>0000011=>7
[6,5,2,8,7,1,4,3]=>0011111=>7
[7,2,3,6,8,1,4,5]=>0000011=>7
[2,6,1,3,8,5,4,7]=>0001101=>7
[6,4,1,8,3,2,5,7]=>0110101=>7
[5,8,1,4,2,7,3,6]=>0010011=>7
[2,3,1,6,8,7,4,5]=>0100011=>7
[6,4,8,2,1,7,3,5]=>1000111=>7
[2,3,1,8,7,5,6,4]=>0100111=>7
[1,5,6,7,2,4,3,8]=>0010010=>7
[2,8,6,4,1,5,3,7]=>0011101=>7
[1,5,7,3,6,2,4,8]=>0000110=>7
[6,7,4,5,1,3,8,2]=>0001011=>7
[1,6,5,3,8,2,4,7]=>0001101=>7
[5,6,1,2,4,8,3,7]=>0000101=>7
[8,7,4,5,1,3,2,6]=>0101011=>7
[8,5,1,2,7,4,3,6]=>0011011=>7
[4,1,8,7,2,5,3,6]=>0011011=>7
[2,6,3,8,4,1,7,5]=>0010111=>7
[3,2,4,6,1,8,7,5]=>0100111=>7
[3,6,7,4,1,2,5,8]=>0010010=>7
[1,4,7,5,8,2,3,6]=>0000011=>7
[1,6,8,4,7,3,2,5]=>0100011=>7
[3,6,7,5,4,8,1,2]=>0001011=>7
[4,5,7,2,6,3,8,1]=>0000111=>7
[2,1,5,7,4,6,8,3]=>1000011=>7
[2,3,5,7,8,1,6,4]=>0000101=>7
[1,5,7,4,2,3,6,8]=>0010010=>7
[2,4,7,5,3,6,8,1]=>0001011=>7
[8,1,7,2,4,6,3,5]=>0000111=>7
[1,2,4,7,8,6,3,5]=>0000101=>7
[2,4,7,8,3,5,1,6]=>0001001=>7
[1,3,6,2,5,8,4,7]=>0000101=>7
[1,5,3,6,8,2,4,7]=>0001001=>7
[4,8,1,2,6,3,7,5]=>0000111=>7
[5,8,1,2,6,3,7,4]=>0000111=>7
[1,6,2,3,7,5,8,4]=>0000111=>7
[4,1,2,6,5,7,8,3]=>0010101=>7
[1,8,4,2,7,3,6,5]=>0010111=>7
[1,7,5,2,3,8,6,4]=>0001111=>7
[8,1,4,7,3,5,2,6]=>0001011=>7
[8,4,3,6,1,7,2,5]=>0010111=>7
[2,6,1,8,3,7,4,5]=>0000111=>7
[8,4,2,1,3,7,5,6]=>1010011=>7
[2,5,1,7,6,8,3,4]=>0001011=>7
[5,3,1,8,2,4,7,6]=>0101011=>7
[1,2,6,3,7,5,8,4]=>0000111=>7
[5,1,8,3,2,4,7,6]=>0101011=>7
[3,1,5,4,6,7,8,2]=>0101001=>7
[2,8,5,7,3,1,4,6]=>0100011=>7
[2,6,8,7,3,1,4,5]=>0100011=>7
[7,4,2,1,3,8,5,6]=>1010011=>7
[7,2,1,3,8,5,4,6]=>1001011=>7
[2,1,7,3,8,6,4,5]=>1000111=>7
[1,7,5,3,2,4,8,6]=>0101011=>7
[1,4,2,7,6,5,8,3]=>0010111=>7
[3,4,1,6,5,7,8,2]=>0010101=>7
[2,8,7,3,4,1,5,6]=>0010011=>7
[5,7,6,2,3,8,1,4]=>0000111=>7
[4,5,7,6,2,8,1,3]=>0000111=>7
[3,1,8,7,5,2,6,4]=>0101111=>7
[4,5,6,8,7,2,1,3]=>1000011=>7
[2,8,3,1,5,4,7,6]=>0101011=>7
[3,8,4,1,5,2,7,6]=>0011011=>7
[5,1,7,8,3,2,6,4]=>0101101=>7
[1,8,6,2,4,3,7,5]=>0010111=>7
[4,8,3,1,6,2,7,5]=>0100111=>7
[2,8,3,1,6,4,7,5]=>0100111=>7
[6,2,7,1,5,8,4,3]=>0010111=>7
[1,7,8,9,6,5,4,3,2]=>01111001=>8
[1,6,7,8,9,5,4,3,2]=>01110001=>8
[1,5,6,7,8,9,4,3,2]=>01100001=>8
[1,4,5,6,7,8,9,3,2]=>01000001=>8
[1,8,9,10,7,6,5,4,3,2]=>011111001=>9
[1,7,6,8,9,5,4,3,2]=>01110101=>8
[1,7,8,9,10,6,5,4,3,2]=>011110001=>9
[1,6,5,7,8,9,4,3,2]=>01101001=>8
[1,6,7,8,9,10,5,4,3,2]=>011100001=>9
[1,5,4,6,7,8,9,3,2]=>01010001=>8
[1,5,6,7,8,9,10,4,3,2]=>011000001=>9
[1,4,5,6,7,8,9,10,3,2]=>010000001=>9
[4,8,5,1,3,2,6,7]=>0101001=>7
[5,4,3,1,2,7,6,8]=>0111010=>7
[4,1,6,5,2,3,7,8]=>0011100=>7
[7,1,5,2,3,6,4,8]=>0001110=>7
[4,1,6,3,7,2,5,8]=>0010110=>7
[4,6,1,2,8,3,7,5]=>0000111=>7
[4,1,3,6,7,2,5,8]=>0010010=>7
[2,6,5,1,3,4,7,8]=>0001100=>7
[2,6,7,4,3,1,5,8]=>0110010=>7
[2,6,3,1,7,4,5,8]=>0100110=>7
[6,5,3,7,2,4,1,8]=>0011110=>7
[2,3,6,7,1,5,4,8]=>0001010=>7
[2,7,5,8,1,3,6,4]=>0000111=>7
[5,1,6,7,3,2,4,8]=>0101010=>7
[5,6,1,4,7,2,3,8]=>0000110=>7
[1,2,5,7,8,6,3,4]=>0000101=>7
[1,2,6,7,4,5,3,8]=>0001010=>7
[1,2,7,8,4,6,3,5]=>0000101=>7
[8,6,5,2,1,7,4,3]=>1011111=>7
[4,3,8,6,7,1,5,2]=>0011011=>7
[8,3,2,4,7,1,6,5]=>0100111=>7
[7,3,2,8,6,1,5,4]=>0101111=>7
[7,5,8,2,6,1,4,3]=>0010111=>7
[5,6,8,2,7,4,1,3]=>0010011=>7
[7,4,1,2,6,5,8,3]=>0010111=>7
[5,2,7,4,6,1,8,3]=>0001111=>7
[7,4,1,2,3,6,8,5]=>0010011=>7
[5,4,8,6,3,2,1,7]=>1101101=>7
[8,4,6,7,3,1,5,2]=>0101011=>7
[4,6,8,5,1,2,7,3]=>0001011=>7
[4,1,3,6,8,5,2,7]=>0011001=>7
[6,3,5,7,1,2,8,4]=>0000111=>7
[1,8,5,3,2,4,6,7]=>0101001=>7
[1,6,7,3,4,2,5,8]=>0010010=>7
[1,6,8,3,4,2,5,7]=>0010001=>7
[1,8,7,5,3,4,2,6]=>0011011=>7
[1,7,8,5,3,4,2,6]=>0011001=>7
[1,7,6,8,4,2,3,5]=>0010011=>7
[1,7,8,6,4,3,2,5]=>0110101=>7
[9,8,7,6,5,2,1,3,4]=>10011111=>8
[9,8,6,4,7,2,5,1,3]=>00011111=>8
[7,2,8,9,10,1,3,4,5,6]=>000001001=>9
[9,7,8,6,5,4,3,2,1]=>11111011=>8
[5,1,7,8,4,2,3,6]=>0011001=>7
[3,8,2,1,6,7,5,4]=>1001011=>7
[2,8,3,1,7,5,6,4]=>0100111=>7
[8,5,6,2,1,4,7,3]=>1000111=>7
[9,10,6,4,2,1,3,5,8,7]=>101010101=>9
[10,7,8,4,2,1,3,6,5,9]=>101010101=>9
[9,7,10,4,2,1,3,6,8,5]=>101000111=>9
[8,9,10,4,2,1,3,7,6,5]=>101011001=>9
[10,8,5,6,2,1,4,3,7,9]=>101010101=>9
[9,10,5,6,2,1,4,3,8,7]=>101010101=>9
[10,7,5,8,2,1,4,6,3,9]=>100011101=>9
[9,7,5,10,2,1,4,6,8,3]=>100001111=>9
[8,9,5,10,2,1,4,7,6,3]=>100011011=>9
[10,6,7,8,2,1,5,4,3,9]=>101100101=>9
[9,6,7,10,2,1,5,4,8,3]=>100100111=>9
[8,6,9,10,2,1,5,7,4,3]=>101001101=>9
[7,8,9,10,2,1,6,5,4,3]=>101110001=>9
[10,8,6,3,4,2,1,5,7,9]=>101010101=>9
[9,10,6,3,4,2,1,5,8,7]=>101010101=>9
[10,7,8,3,4,2,1,6,5,9]=>101010101=>9
[9,7,10,3,4,2,1,6,8,5]=>101000111=>9
[8,9,10,3,4,2,1,7,6,5]=>101011001=>9
[10,8,5,3,6,2,4,1,7,9]=>001110101=>9
[9,10,5,3,6,2,4,1,8,7]=>001110101=>9
[10,7,5,3,8,2,4,6,1,9]=>000111101=>9
[9,7,5,3,10,2,4,6,8,1]=>000101111=>9
[8,9,5,3,10,2,4,7,6,1]=>000111011=>9
[10,6,7,3,8,2,5,4,1,9]=>001101101=>9
[9,6,7,3,10,2,5,4,8,1]=>000101111=>9
[8,6,9,3,10,2,5,7,4,1]=>001001111=>9
[7,8,9,3,10,2,6,5,4,1]=>001110011=>9
[10,8,4,5,6,3,2,1,7,9]=>110010101=>9
[9,10,4,5,6,3,2,1,8,7]=>110010101=>9
[10,7,4,5,8,3,2,6,1,9]=>010011101=>9
[9,7,4,5,10,3,2,6,8,1]=>010001111=>9
[8,9,4,5,10,3,2,7,6,1]=>010011011=>9
[10,6,4,7,8,3,5,2,1,9]=>100110101=>9
[9,6,4,7,10,3,5,2,8,1]=>000110111=>9
[8,6,4,9,10,3,5,7,2,1]=>100011101=>9
[7,8,4,9,10,3,6,5,2,1]=>100110101=>9
[10,5,6,7,8,4,3,2,1,9]=>111000101=>9
[9,5,6,7,10,4,3,2,8,1]=>011000111=>9
[8,5,6,9,10,4,3,7,2,1]=>101001101=>9
[7,5,8,9,10,4,6,3,2,1]=>110011001=>9
[2,3,4,5,6,7,8,11,10,1,9]=>0000000011=>10
[11,3,4,5,6,7,8,10,1,2,9]=>0000000011=>10
[2,10,4,5,6,7,9,1,3,8]=>000000011=>9
[10,3,4,5,6,7,1,9,2,8]=>000001011=>9
[2,7,4,1,5,8,3,6]=>0010011=>7
[2,1,6,4,7,8,3,5]=>1000101=>7
[5,7,8,3,4,2,1,6]=>1010001=>7
[4,7,5,3,8,2,6,1]=>0001111=>7
[2,6,4,7,8,5,3,1]=>0101101=>7
[7,8,4,5,6,1,3,2]=>0100101=>7
[2,5,1,8,4,6,7,3]=>0001011=>7
[5,2,8,4,6,7,1,3]=>0001011=>7
[6,5,8,3,4,2,1,7]=>1010101=>7
[1,3,5,8,4,6,7,2]=>0000011=>7
[8,2,7,6,3,4,5,1]=>0001111=>7
[6,8,7,3,2,1,4,5]=>1100011=>7
[3,4,8,2,7,1,5,6]=>0000011=>7
[7,2,6,1,4,8,3,5]=>0000111=>7
[7,8,1,2,4,6,3,5]=>0000101=>7
[7,2,8,3,4,5,1,6]=>0001011=>7
[6,1,8,3,4,2,5,7]=>0010101=>7
[7,5,1,2,4,3,8,6]=>0011011=>7
[7,6,8,1,4,2,3,5]=>0010011=>7
[2,4,3,7,8,5,6,1]=>0010101=>7
[2,1,7,6,3,4,5,8]=>1000110=>7
[6,3,5,2,1,8,4,7]=>1001101=>7
[6,1,5,3,8,2,4,7]=>0001101=>7
[2,3,6,8,5,1,7,4]=>0001011=>7
[3,2,4,8,6,1,7,5]=>0100111=>7
[2,1,3,8,4,5,7,6]=>1000011=>7
[3,1,2,8,5,4,7,6]=>0101011=>7
[2,1,3,7,8,4,6,5]=>1000101=>7
[2,1,3,8,4,7,6,5]=>1000111=>7
[3,1,2,8,4,5,7,6]=>0100011=>7
[1,2,8,7,5,4,6,3]=>0001111=>7
[4,6,7,2,3,8,1,5]=>0000011=>7
[3,2,6,5,7,8,1,4]=>0100101=>7
[3,2,7,5,6,8,1,4]=>0100011=>7
[2,1,8,7,4,6,5,3]=>1001111=>7
[6,1,5,8,4,7,3,2]=>0100111=>7
[1,4,6,8,5,7,2,3]=>0000011=>7
[2,8,5,1,6,4,3,7]=>0011101=>7
[2,4,7,1,8,3,6,5]=>0000111=>7
[6,1,5,4,2,3,8,7]=>0011101=>7
[6,4,5,1,2,8,3,7]=>0001101=>7
[8,4,1,5,7,6,3,2]=>0110111=>7
[8,1,6,3,5,2,4,7]=>0001101=>7
[4,6,2,5,3,8,1,7]=>0001101=>7
[4,6,5,2,1,8,3,7]=>1001101=>7
[5,8,4,3,6,7,2,1]=>1010011=>7
[6,8,2,1,5,3,4,7]=>1001001=>7
[2,5,3,8,6,7,4,1]=>0011011=>7
[3,2,6,5,1,8,4,7]=>0101101=>7
[7,4,5,8,1,6,2,3]=>0000111=>7
[4,5,8,1,6,7,3,2]=>0100011=>7
[5,1,8,4,6,7,3,2]=>0101011=>7
[6,5,3,8,1,7,2,4]=>0001111=>7
[8,3,7,1,6,2,4,5]=>0000111=>7
[8,1,4,6,5,7,2,3]=>0000111=>7
[8,1,7,5,6,4,2,3]=>0010111=>7
[8,6,1,5,3,7,2,4]=>0001111=>7
[7,2,3,6,8,1,5,4]=>0001011=>7
[2,6,3,7,8,1,4,5]=>0000101=>7
[6,3,8,7,2,1,5,4]=>1001111=>7
[7,2,5,6,3,4,8,1]=>0000111=>7
[7,2,8,6,3,1,5,4]=>0101111=>7
[7,2,4,5,8,6,3,1]=>0100111=>7
[6,3,8,4,7,2,5,1]=>0001111=>7
[7,2,3,6,8,5,4,1]=>0011011=>7
[7,2,8,5,4,1,3,6]=>0011011=>7
[7,4,5,2,8,1,6,3]=>0001111=>7
[7,5,4,2,8,1,6,3]=>0011111=>7
[7,6,3,2,8,4,5,1]=>0101111=>7
[7,2,3,6,8,4,5,1]=>0001011=>7
[7,2,5,4,8,3,6,1]=>0001111=>7
[7,2,8,3,6,1,4,5]=>0000111=>7
[7,4,5,2,8,3,6,1]=>0001111=>7
[3,1,6,7,4,5,2,8]=>0101010=>7
[3,1,5,4,7,6,2,8]=>0101110=>7
[7,3,6,8,2,4,5,1]=>0001011=>7
[5,1,3,2,4,6,8,7]=>0101001=>7
[8,4,2,5,1,7,3,6]=>0011011=>7
[6,4,2,5,7,3,8,1]=>0010111=>7
[5,7,8,4,2,3,6,1]=>0010101=>7
[6,4,5,2,8,3,7,1]=>0001111=>7
[6,5,2,4,3,8,7,1]=>0011111=>7
[6,5,3,4,1,8,2,7]=>0011101=>7
[6,4,5,3,8,1,2,7]=>0001101=>7
[5,6,4,8,3,1,2,7]=>0100101=>7
[7,2,4,6,3,8,5,1]=>0001111=>7
[2,8,3,7,6,1,5,4]=>0001111=>7
[5,4,2,6,8,7,3,1]=>0111011=>7
[3,7,2,5,8,6,4,1]=>0010111=>7
[4,6,5,3,8,1,7,2]=>0001111=>7
[2,4,8,7,6,1,5,3]=>0001111=>7
[3,2,8,7,4,6,5,1]=>0101111=>7
[8,2,6,5,1,4,3,7]=>0011101=>7
[4,8,5,2,7,6,3,1]=>0101111=>7
[2,8,6,5,7,1,3,4]=>0000111=>7
[3,8,4,7,2,1,6,5]=>1000111=>7
[4,8,5,1,7,6,3,2]=>0101111=>7
[5,8,1,7,6,2,3,4]=>0000111=>7
[3,4,6,2,5,7,1,8]=>0000110=>7
[1,7,5,2,6,8,3,4]=>0001011=>7
[5,1,7,2,4,6,3,8]=>0001110=>7
[6,8,2,1,3,4,7,5]=>1000011=>7
[5,2,1,7,6,4,3,8]=>1011110=>7
[7,4,8,3,6,5,1,2]=>0001111=>7
[6,4,8,5,1,7,2,3]=>0001111=>7
[5,2,8,1,3,6,7,4]=>0001011=>7
[6,3,2,7,4,5,8,1]=>0100111=>7
[7,4,3,8,5,6,1,2]=>0010111=>7
[6,2,1,8,7,4,5,3]=>1001111=>7
[6,2,1,8,7,3,5,4]=>1001111=>7
[5,2,1,7,6,3,4,8]=>1001110=>7
[4,2,6,8,5,7,1,3]=>0010011=>7
[8,6,4,3,2,7,5,1]=>0111111=>7
[1,3,4,7,8,2,6,5]=>0000101=>7
[1,5,4,3,8,7,2,6]=>0011011=>7
[1,2,5,8,4,3,6,7]=>0010001=>7
[1,5,8,2,6,4,3,7]=>0010101=>7
[10,9,8,6,4,2,1,3,5,7]=>101010111=>9
[10,8,7,6,4,2,1,3,5,9]=>101011101=>9
[10,7,9,6,4,2,1,3,8,5]=>101010111=>9
[10,9,8,7,6,4,2,1,3,5]=>101011111=>9
[10,8,6,5,4,2,1,3,7,9]=>101110101=>9
[10,9,8,6,5,4,2,1,3,7]=>101110111=>9
[10,8,5,7,4,2,1,6,3,9]=>101011101=>9
[10,5,9,7,4,2,1,6,8,3]=>101001111=>9
[10,9,8,5,7,4,2,1,6,3]=>101011111=>9
[10,8,7,6,5,4,2,1,3,9]=>101111101=>9
[10,7,9,6,5,4,2,1,8,3]=>101110111=>9
[10,6,9,8,5,7,2,1,4,3]=>101001111=>9
[10,8,6,4,3,2,1,5,7,9]=>111010101=>9
[10,9,8,6,4,3,2,1,5,7]=>111010111=>9
[10,8,7,6,4,3,2,1,5,9]=>111011101=>9
[10,7,9,6,4,3,2,1,8,5]=>111010111=>9
[10,8,6,3,5,2,4,1,7,9]=>001110101=>9
[10,9,8,6,3,5,2,4,1,7]=>001110111=>9
[10,8,3,7,5,2,4,6,1,9]=>000111101=>9
[10,3,9,7,5,2,4,6,8,1]=>000101111=>9
[10,9,8,3,7,5,2,4,6,1]=>000111111=>9
[10,8,7,6,3,5,2,4,1,9]=>001111101=>9
[10,7,9,6,3,5,2,4,8,1]=>000110111=>9
[10,9,3,8,6,5,2,7,4,1]=>001111111=>9
[10,9,8,7,6,3,5,2,4,1]=>001111111=>9
[10,8,6,5,4,3,2,1,7,9]=>111110101=>9
[10,8,5,7,4,3,2,6,1,9]=>011011101=>9
[10,5,9,7,4,3,2,6,8,1]=>011001111=>9
[10,9,8,5,7,4,3,2,6,1]=>011011111=>9
[10,8,4,7,6,3,5,2,1,9]=>100111101=>9
[10,4,9,7,6,3,5,2,8,1]=>000111111=>9
[10,4,9,6,8,3,5,7,2,1]=>100001111=>9
[10,9,8,4,7,6,3,5,2,1]=>100111111=>9
[10,7,9,6,5,4,3,2,8,1]=>011110111=>9
[10,6,9,8,5,4,3,7,2,1]=>101101111=>9
[10,5,9,8,7,4,6,3,2,1]=>110011111=>9
[3,5,6,2,4,7,8,1]=>0000101=>7
[3,5,6,7,2,4,8,1]=>0000011=>7
[3,5,7,6,8,2,4,1]=>0010011=>7
[3,5,7,2,6,8,4,1]=>0010011=>7
[3,5,2,7,6,8,4,1]=>0011011=>7
[3,5,7,4,2,6,8,1]=>0010011=>7
[3,5,4,7,2,6,8,1]=>0001011=>7
[3,4,5,7,2,6,8,1]=>0000011=>7
[3,4,5,7,2,8,6,1]=>0000111=>7
[3,5,4,7,8,2,6,1]=>0001101=>7
[3,5,4,7,2,8,6,1]=>0001111=>7
[3,2,5,7,4,8,6,1]=>0100111=>7
[3,5,7,4,2,8,6,1]=>0010111=>7
[3,5,7,8,4,2,6,1]=>0010101=>7
[2,3,5,7,8,4,6,1]=>0000101=>7
[3,5,2,7,8,6,4,1]=>0011101=>7
[3,5,7,8,2,6,4,1]=>0010101=>7
[3,5,7,8,6,2,4,1]=>0010101=>7
[3,2,5,6,7,8,9,1,4]=>01000001=>8
[4,2,5,6,7,3,8,1]=>0010011=>7
[4,2,5,6,7,8,9,3,1]=>01100001=>8
[8,6,1,4,3,5,2,7]=>0011101=>7
[6,1,8,4,3,5,2,7]=>0011101=>7
[5,1,6,4,8,2,3,7]=>0001101=>7
[8,1,4,2,5,3,6,7]=>0011001=>7
[2,8,4,1,5,3,6,7]=>0011001=>7
[8,4,1,3,5,2,6,7]=>0011001=>7
[4,1,8,3,5,2,6,7]=>0011001=>7
[8,3,1,2,5,4,6,7]=>0101001=>7
[3,1,8,2,5,4,6,7]=>0101001=>7
[4,2,5,1,8,7,6,3]=>0011111=>7
[5,2,4,8,1,7,6,3]=>0001111=>7
[7,3,2,4,6,8,1,5]=>0100011=>7
[1,4,8,6,7,2,5,3]=>0001011=>7
[1,4,5,7,3,8,2,6]=>0000011=>7
[1,2,5,6,7,4,8,9,3]=>00000101=>8
[4,6,8,1,2,5,3,7]=>0001001=>7
[3,5,6,8,2,1,4,7]=>1000001=>7
[8,2,5,4,1,3,7,6]=>0011011=>7
[2,4,5,8,6,3,1,7]=>0100101=>7
[5,4,8,2,3,1,7,6]=>0101011=>7
[4,7,5,8,2,3,1,6]=>0100011=>7
[4,6,7,5,1,8,3,2]=>0101011=>7
[1,7,3,6,5,8,2,4]=>0000111=>7
[8,3,4,2,6,7,1,5]=>0010011=>7
[7,5,3,8,6,2,1,4]=>1001111=>7
[7,3,1,8,2,6,5,4]=>0101111=>7
[4,6,7,5,2,8,3,1]=>0101011=>7
[5,8,7,2,4,3,1,6]=>0110011=>7
[5,1,2,8,6,7,3,4]=>0001011=>7
[2,5,7,8,6,1,4,3]=>0010101=>7
[7,2,6,8,4,5,1,3]=>0001011=>7
[5,1,7,6,8,2,3,4]=>0001011=>7
[1,7,6,2,4,3,8,5]=>0010111=>7
[7,1,6,2,4,5,3,8]=>0001110=>7
[5,7,1,6,2,3,4,8]=>0000110=>7
[6,2,5,8,3,4,1,7]=>0010101=>7
[5,6,8,7,1,3,2,4]=>0100011=>7
[1,5,3,4,8,2,6,7]=>0001001=>7
[2,1,3,6,5,8,4,7]=>1000101=>7
[2,8,6,5,7,4,3,1]=>0110111=>7
[2,8,6,5,7,4,1,3]=>0010111=>7
[6,5,2,7,4,3,1,8]=>0111110=>7
[6,5,2,8,4,3,7,1]=>0011111=>7
[7,5,8,3,4,2,1,6]=>1010011=>7
[7,6,8,5,2,4,1,3]=>0011011=>7
[5,3,7,2,4,1,8,6]=>0011011=>7
[5,1,2,8,6,3,7,4]=>0001111=>7
[6,1,5,7,2,4,3,8]=>0010110=>7
[4,1,8,2,6,5,7,3]=>0010111=>7
[6,1,4,7,8,5,3,2]=>0101101=>7
[6,1,5,7,8,4,2,3]=>0010101=>7
[4,6,1,5,7,2,8,3]=>0000111=>7
[2,5,8,4,6,3,7,1]=>0000111=>7
[4,3,7,1,2,6,8,5]=>0010011=>7
[8,1,6,5,2,7,4,3]=>0011111=>7
[6,8,1,5,2,7,4,3]=>0011011=>7
[5,6,2,7,4,8,3,1]=>0100111=>7
[1,7,3,2,4,8,6,5]=>0100111=>7
[4,3,1,8,2,6,7,5]=>0110011=>7
[4,8,1,3,2,5,7,6]=>0100011=>7
[1,7,5,3,8,6,2,4]=>0001111=>7
[2,5,3,8,1,4,7,6]=>0001011=>7
[4,2,5,8,1,3,7,6]=>0010011=>7
[8,1,2,4,3,5,7,6]=>0010011=>7
[2,4,3,8,1,5,7,6]=>0010011=>7
[3,1,7,4,8,6,5,2]=>0101111=>7
[6,4,5,3,2,8,7,1]=>0101111=>7
[2,7,3,8,5,1,6,4]=>0001111=>7
[8,7,3,2,5,6,4,1]=>0110111=>7
[3,1,8,2,6,5,4,7]=>0101101=>7
[7,6,2,8,1,4,5,3]=>0001111=>7
[2,3,8,4,1,5,7,6]=>0010011=>7
[8,4,2,3,1,5,7,6]=>0110011=>7
[8,2,3,4,1,5,7,6]=>0010011=>7
[7,1,6,2,4,8,3,5]=>0000111=>7
[2,7,8,1,4,3,6,5]=>0010101=>7
[6,5,8,1,3,2,4,7]=>0100101=>7
[2,1,8,5,3,4,6,7]=>1001001=>7
[8,4,1,3,2,5,6,7]=>0110001=>7
[8,6,1,2,3,5,4,7]=>0001101=>7
[7,8,1,5,2,4,6,3]=>0001101=>7
[2,8,6,3,1,5,4,7]=>0101101=>7
[5,7,2,8,4,1,6,3]=>0010111=>7
[2,5,6,3,8,1,4,7]=>0000101=>7
[1,3,4,5,6,7,2,8,9]=>00000100=>8
[7,4,5,6,8,1,3,2]=>0100011=>7
[7,6,8,1,4,5,3,2]=>0101011=>7
[7,5,1,8,4,6,3,2]=>0101111=>7
[1,7,8,5,6,4,3,2]=>0110101=>7
[2,8,1,7,4,5,3,6]=>0001011=>7
[7,3,6,2,5,4,8,1]=>0001111=>7
[1,6,2,3,5,8,4,7]=>0000101=>7
[1,8,5,6,4,3,7,2]=>0010111=>7
[2,6,8,4,5,1,7,3]=>0001011=>7
[4,6,5,7,8,1,3,2]=>0100101=>7
[2,5,8,6,4,7,1,3]=>0000111=>7
[5,3,2,1,7,8,4,6]=>1101001=>7
[8,4,1,3,6,7,2,5]=>0010011=>7
[1,6,5,3,8,4,7,2]=>0001111=>7
[7,6,2,3,5,1,4,8]=>0001110=>7
[6,2,5,3,4,8,1,7]=>0001101=>7
[6,2,5,3,4,8,7,1]=>0001111=>7
[2,6,5,3,4,8,1,7]=>0001101=>7
[5,3,4,8,1,7,2,6]=>0001011=>7
[5,1,3,4,8,7,2,6]=>0001011=>7
[1,5,3,4,8,7,2,6]=>0001011=>7
[5,1,3,8,4,7,6,2]=>0001111=>7
[5,3,8,1,4,7,6,2]=>0001111=>7
[4,3,5,8,1,7,6,2]=>0010111=>7
[3,6,5,4,8,1,2,7]=>0001101=>7
[3,6,5,4,8,2,7,1]=>0001111=>7
[3,5,2,4,8,7,6,1]=>0001111=>7
[2,5,3,6,8,4,1,7]=>0011001=>7
[4,6,2,5,1,7,8,3]=>0001101=>7
[2,3,6,5,8,4,1,7]=>0010101=>7
[2,3,1,7,4,8,6,5]=>0100111=>7
[2,3,8,7,6,4,1,5]=>0010111=>7
[2,6,3,7,4,1,5,8]=>0010110=>7
[7,5,2,3,1,6,4,8]=>0101110=>7
[1,8,3,6,4,2,7,5]=>0010111=>7
[2,1,7,4,8,5,3,6]=>1001011=>7
[8,1,7,3,2,5,4,6]=>0101011=>7
[7,8,5,2,6,4,3,1]=>0111101=>7
[4,2,8,1,3,6,7,5]=>0010011=>7
[8,1,2,5,7,4,6,3]=>0000111=>7
[7,4,6,3,1,2,5,8]=>0100110=>7
[6,4,1,3,7,2,5,8]=>0010110=>7
[3,7,5,1,4,6,2,8]=>0001110=>7
[6,8,7,4,1,5,2,3]=>0011011=>7
[8,6,4,7,5,1,3,2]=>0101111=>7
[6,1,2,4,7,8,3,5]=>0000101=>7
[2,4,6,5,7,1,8,3]=>0000111=>7
[3,2,8,9,10,1,4,5,6,7]=>010000001=>9
[4,2,6,7,8,5,3,1]=>0111001=>7
[6,2,4,7,8,5,3,1]=>0101101=>7
[3,5,2,1,7,8,6,4]=>1001101=>7
[4,2,7,8,6,5,1,3]=>0011101=>7
[1,2,7,8,6,4,5,3]=>0001101=>7
[4,8,1,2,6,5,3,7]=>0001101=>7
[7,1,6,3,2,4,8,5]=>0100111=>7
[6,4,8,1,2,3,7,5]=>0000111=>7
[7,4,1,3,6,8,5,2]=>0011011=>7
[7,1,8,3,2,6,5,4]=>0101111=>7
[7,2,5,1,6,4,3,8]=>0011110=>7
[5,2,7,1,4,6,3,8]=>0001110=>7
[6,3,8,5,7,1,4,2]=>0010111=>7
[2,4,3,8,5,7,1,6]=>0010011=>7
[2,8,3,1,4,6,5,7]=>0100101=>7
[4,5,7,6,1,3,8,2]=>0000111=>7
[3,7,1,6,5,8,2,4]=>0000111=>7
[7,4,3,6,8,2,1,5]=>1010011=>7
[3,8,5,4,7,6,1,2]=>0001111=>7
[1,4,6,8,7,3,5,2]=>0001011=>7
[4,6,5,1,3,8,7,2]=>0001111=>7
[5,4,6,2,1,8,7,3]=>1001111=>7
[3,2,8,5,1,4,6,7]=>0101001=>7
[3,5,4,1,2,8,6,7]=>0011001=>7
[5,3,8,1,4,2,6,7]=>0011001=>7
[5,3,8,1,4,2,7,6]=>0011011=>7
[1,4,7,5,8,6,2,3]=>0000111=>7
[8,5,7,6,3,4,1,2]=>0010111=>7
[7,5,2,6,1,4,8,3]=>0001111=>7
[2,4,5,1,8,3,7,6]=>0001011=>7
[7,2,8,5,3,4,1,6]=>0011011=>7
[6,4,5,3,1,7,8,2]=>0101101=>7
[7,3,5,6,4,1,8,2]=>0010111=>7
[1,4,7,6,8,5,2,3]=>0001011=>7
[2,3,4,7,8,9,1,5,6]=>00000001=>8
[2,3,6,7,8,9,1,4,5]=>00000001=>8
[2,5,6,7,8,9,1,3,4]=>00000001=>8
[2,3,4,5,1,9,6,7,8]=>00010001=>4
[2,3,4,1,8,9,5,6,7]=>00100001=>8
[2,3,4,5,8,9,10,1,6,7]=>000000001=>9
[2,3,1,7,8,9,4,5,6]=>01000001=>8
[2,3,4,7,8,9,10,1,5,6]=>000000001=>9
[2,1,6,7,8,9,3,4,5]=>10000001=>8
[2,3,6,7,8,9,10,1,4,5]=>000000001=>9
[2,5,6,7,8,9,10,1,3,4]=>000000001=>9
[2,5,6,3,4,1,8,7]=>0010101=>7
[4,6,2,1,5,8,3,7]=>1000101=>7
[4,6,7,2,3,8,5,1]=>0001011=>7
[2,3,5,8,7,4,1,6]=>0010011=>7
[2,3,5,8,7,4,6,1]=>0000111=>7
[4,5,3,7,8,1,2,6]=>0001001=>7
[2,3,5,8,1,6,4,7]=>0000101=>7
[1,7,4,5,8,3,6,2]=>0000111=>7
[8,6,1,5,4,2,7,3]=>0011111=>7
[2,8,5,6,3,1,4,7]=>0100101=>7
[4,8,2,6,1,5,7,3]=>0000111=>7
[2,3,7,8,1,5,4,6]=>0001001=>7
[5,2,6,7,8,3,1,4]=>0101001=>7
[5,6,2,7,8,3,1,4]=>0100101=>7
[2,3,7,5,8,4,6,1]=>0000111=>7
[3,7,8,5,1,4,6,2]=>0001101=>7
[2,5,6,7,1,8,4,3]=>0010011=>7
[8,5,3,6,4,2,1,7]=>1011101=>7
[2,3,7,8,5,4,6,1]=>0001101=>7
[6,4,7,8,1,2,5,3]=>0001101=>7
[7,5,8,1,2,3,6,4]=>0000111=>7
[1,2,8,7,4,6,5,3]=>0001111=>7
[5,1,4,8,7,3,6,2]=>0001111=>7
[4,3,1,8,7,5,6,2]=>0110111=>7
[4,3,2,7,6,1,5,8]=>0110110=>7
[7,2,6,5,3,1,4,8]=>0101110=>7
[1,3,7,6,2,4,8,5]=>0000111=>7
[1,3,8,2,7,4,6,5]=>0000111=>7
[8,2,7,1,6,4,3,5]=>0010111=>7
[4,3,2,8,1,7,5,6]=>0110011=>7
[7,5,4,1,6,3,8,2]=>0011111=>7
[1,6,5,3,2,4,8,7]=>0101101=>7
[1,7,3,5,2,4,8,6]=>0001011=>7
[4,3,7,2,5,1,6,8]=>0011010=>7
[5,1,4,3,2,6,8,7]=>0111001=>7
[7,2,1,3,5,4,6,8]=>1001010=>7
[8,3,7,5,4,2,6,1]=>0011111=>7
[1,6,8,7,5,2,3,4]=>0001011=>7
[4,3,6,1,8,5,2,7]=>0011101=>7
[1,3,6,2,5,4,8,7]=>0001101=>7
[1,4,8,7,3,6,2,5]=>0000111=>7
[1,2,7,3,8,4,9,5,10,6]=>000001111=>9
[3,6,5,1,4,7,8,2]=>0001101=>7
[5,4,1,8,7,3,6,2]=>0011111=>7
[6,2,4,7,5,3,1,8]=>0101110=>7
[6,2,5,1,8,7,3,4]=>0001111=>7
[3,2,6,1,5,8,7,4]=>0100111=>7
[1,6,3,8,4,7,2,5]=>0000111=>7
[8,1,5,2,4,7,3,6]=>0001011=>7
[7,5,8,1,4,2,3,6]=>0010011=>7
[4,1,2,3,6,5,8,7,9]=>00101010=>8
[4,1,2,3,6,5,8,7,10,9]=>001010101=>9
[4,1,6,2,3,5,8,7,9]=>00101010=>8
[1,3,4,8,5,6,2,7]=>0000101=>7
[3,2,7,1,8,6,5,4]=>0101111=>7
[1,3,8,5,6,7,2,4]=>0000011=>7
[6,2,4,1,5,7,8,3]=>0010101=>7
[5,8,4,1,3,6,7,2]=>0010011=>7
[6,7,2,3,8,1,4,5]=>0000011=>7
[3,2,7,4,8,1,5,6]=>0100011=>7
[5,2,8,1,7,4,6,3]=>0001111=>7
[2,5,4,7,3,1,8,6]=>0101011=>7
[4,6,3,1,2,5,7,8]=>0100100=>7
[7,4,6,8,3,1,2,5]=>0100011=>7
[8,5,4,7,3,1,2,6]=>0101011=>7
[7,3,2,1,5,4,8,6]=>1101011=>7
[2,5,6,4,8,1,3,7]=>0000101=>7
[5,4,1,6,2,3,7,8]=>0011100=>7
[1,3,6,5,2,4,7,8]=>0001100=>7
[6,4,5,1,2,8,7,3]=>0001111=>7
[5,4,1,2,7,6,3,8]=>0011110=>7
[5,8,7,3,1,2,4,6]=>0100011=>7
[2,7,8,1,4,5,3,6]=>0001001=>7
[4,1,2,8,7,3,6,5]=>0010111=>7
[6,1,2,4,3,8,7,5]=>0010111=>7
[3,7,8,1,2,4,6,5]=>0000101=>7
[7,3,4,1,2,6,8,5]=>0010011=>7
[8,4,3,1,2,6,5,7]=>0110101=>7
[3,8,2,7,4,5,1,6]=>0001011=>7
[8,6,2,3,5,4,1,7]=>0011101=>7
[8,2,6,1,3,5,4,7]=>0001101=>7
[8,4,3,7,2,5,6,1]=>0010111=>7
[8,3,1,7,4,5,2,6]=>0101011=>7
[8,2,4,5,1,7,3,6]=>0001011=>7
[6,8,2,4,5,1,7,3]=>0001011=>7
[4,3,8,1,7,5,6,2]=>0010111=>7
[8,4,3,7,1,5,6,2]=>0010111=>7
[8,3,4,7,2,6,5,1]=>0001111=>7
[8,1,3,7,6,4,5,2]=>0001111=>7
[8,3,7,1,4,5,6,2]=>0000111=>7
[8,7,3,6,1,2,5,4]=>0001111=>7
[8,3,7,6,2,4,5,1]=>0001111=>7
[8,7,2,3,6,1,5,4]=>0001111=>7
[8,2,7,1,3,4,6,5]=>0000111=>7
[5,1,8,4,2,3,7,6]=>0011011=>7
[8,2,4,7,3,1,6,5]=>0100111=>7
[8,2,7,6,3,1,4,5]=>0100111=>7
[6,8,1,4,7,3,2,5]=>0100011=>7
[8,5,7,2,6,3,1,4]=>0100111=>7
[5,8,2,7,3,1,6,4]=>0100111=>7
[8,1,2,6,7,5,4,3]=>0011011=>7
[8,4,1,7,5,6,2,3]=>0010111=>7
[8,2,4,7,6,5,1,3]=>0001111=>7
[8,2,7,6,4,5,1,3]=>0001111=>7
[8,4,7,2,3,6,5,1]=>0001111=>7
[8,2,4,7,3,6,5,1]=>0001111=>7
[8,1,7,6,4,5,2,3]=>0001111=>7
[8,1,2,7,6,4,5,3]=>0001111=>7
[8,1,4,7,3,6,5,2]=>0001111=>7
[2,3,1,9,8,7,6,5,4]=>01011111=>8
[3,4,2,1,9,8,7,6,5]=>10101111=>8
[4,5,3,2,1,9,8,7,6]=>11010111=>8
[5,6,4,3,2,1,9,8,7]=>11101011=>8
[6,7,5,4,3,2,1,9,8]=>11110101=>8
[2,8,1,5,3,7,6,4]=>0001111=>7
[1,8,2,4,7,5,6,3]=>0000111=>7
[2,3,8,4,7,1,6,5]=>0000111=>7
[1,8,2,3,5,6,4,7]=>0000101=>7
[1,4,7,6,2,3,5,8]=>0000110=>7
[1,7,6,2,3,8,4,5]=>0000111=>7
[1,8,2,3,7,6,4,5]=>0000111=>7
[1,7,3,8,6,2,5,4]=>0001111=>7
[5,8,2,3,7,4,1,6]=>0010011=>7
[4,2,8,3,7,6,1,5]=>0010111=>7
[1,3,5,6,4,8,2,7]=>0000101=>7
[3,1,7,8,5,2,4,6]=>0101001=>7
[7,1,2,3,4,5,9,6,10,8]=>000001011=>9
[4,6,1,8,2,7,5,3]=>0001111=>7
[6,3,5,2,8,4,7,1]=>0001111=>7
[1,6,3,5,2,8,4,7]=>0001101=>7
[5,4,8,6,3,7,2,1]=>1001111=>7
[6,4,5,8,1,3,7,2]=>0000111=>7
[6,3,5,1,8,4,7,2]=>0001111=>7
[2,6,3,1,5,8,4,7]=>0100101=>7
[2,5,4,8,6,3,1,7]=>0101101=>7
[2,5,4,8,6,3,7,1]=>0001111=>7
[1,2,5,4,8,6,3,7]=>0001101=>7
[6,4,5,8,2,1,7,3]=>1000111=>7
[5,3,4,1,2,6,8,7]=>0011001=>7
[1,4,3,5,2,8,6,7]=>0011001=>7
[1,3,5,4,8,2,6,7]=>0001001=>7
[3,5,4,8,2,6,1,7]=>0001101=>7
[3,6,4,5,1,2,8,7]=>0001101=>7
[4,3,5,1,8,6,2,7]=>0011101=>7
[3,5,4,8,1,6,2,7]=>0001101=>7
[3,4,8,5,6,1,2,7]=>0000101=>7
[3,4,8,5,6,2,1,7]=>1000101=>7
[3,5,4,8,1,6,7,2]=>0001011=>7
[2,4,3,1,5,8,6,7]=>0110001=>7
[1,7,6,2,5,4,8,3]=>0001111=>7
[5,6,1,7,4,3,8,2]=>0010111=>7
[3,7,2,1,5,6,8,4]=>1000011=>7
[3,1,5,6,4,2,7,8]=>0110100=>7
[8,3,4,1,6,5,7,2]=>0010111=>7
[8,1,6,4,3,5,2,7]=>0011101=>7
[1,3,7,8,2,6,4,5]=>0000101=>7
[2,1,6,5,3,8,7,4]=>1001111=>7
[3,7,5,6,4,2,1,8]=>1010110=>7
[6,1,4,3,7,5,8,2]=>0010111=>7
[4,6,8,5,3,7,2,1]=>1001011=>7
[4,6,8,5,1,3,7,2]=>0001011=>7
[8,3,5,4,6,1,2,7]=>0001101=>7
[3,4,5,6,1,7,2,9,8]=>00001101=>8
[1,7,4,5,2,6,8,3]=>0001011=>7
[1,4,5,9,6,7,2,8,3]=>00000111=>8
[3,4,5,6,7,1,8,2,10,9]=>000001101=>9
[2,4,5,9,6,1,7,3,8]=>00001101=>8
[3,4,5,7,6,1,9,2,8]=>00001101=>8
[1,4,2,6,5,3,8,7]=>0011101=>7
[3,1,5,8,4,6,2,7]=>0100101=>7
[3,5,6,9,7,1,8,2,4]=>00000111=>8
[1,4,8,5,6,2,7,9,3]=>00001011=>8
[1,4,5,6,10,7,8,2,9,3]=>000000111=>9
[3,4,5,6,7,8,1,9,2,11,10]=>0000001101=>10
[2,4,5,6,10,7,1,8,3,9]=>000001101=>9
[3,4,5,6,8,7,1,10,2,9]=>000001101=>9
[2,5,9,6,7,3,1,4,8]=>01000101=>8
[4,1,5,2,7,6,3,9,8]=>00111101=>8
[3,4,1,6,9,5,7,2,8]=>00100101=>8
[8,2,6,3,4,1,5,7]=>0010101=>7
[4,6,5,8,2,1,3,7]=>1000101=>7
[1,4,8,3,5,6,2,7]=>0000101=>7
[1,8,7,4,2,3,6,5]=>0010111=>7
[6,7,9,8,1,3,4,2,5]=>00100011=>8
[9,1,5,2,8,6,3,7,4]=>00011111=>8
[3,5,6,7,10,8,1,9,2,4]=>000000111=>9
[1,7,4,5,2,6,8,9,3]=>00010101=>8
[1,4,5,9,6,7,2,8,10,3]=>000001011=>9
[1,4,5,6,7,11,8,9,2,10,3]=>0000000111=>10
[4,3,1,8,5,7,2,6]=>0110011=>7
[7,3,2,4,8,1,6,5]=>0100111=>7
[3,7,2,4,5,8,1,6]=>0000011=>7
[3,2,7,4,6,1,8,5]=>0100111=>7
[8,3,2,4,6,1,7,5]=>0100111=>7
[8,3,2,4,5,7,1,6]=>0100011=>7
[7,4,6,2,1,3,8,5]=>1000111=>7
[3,6,7,2,4,1,8,5]=>0010011=>7
[8,4,7,2,3,5,6,1]=>0000111=>7
[3,8,6,7,1,5,4,2]=>0011011=>7
[4,3,2,8,6,1,5,7]=>0110101=>7
[4,1,6,3,2,5,7,8]=>0110100=>7
[5,7,1,8,4,3,6,2]=>0010111=>7
[5,4,8,7,6,2,3,1]=>0101111=>7
[8,4,6,3,1,5,2,7]=>0101101=>7
[3,6,1,5,2,4,7,8]=>0001100=>7
[3,7,6,2,5,4,1,8]=>0011110=>7
[2,7,1,5,3,4,6,8]=>0001010=>7
[8,4,5,1,2,7,6,3]=>0001111=>7
[5,2,3,8,7,1,6,4]=>0001111=>7
[7,5,2,4,1,3,8,6]=>0011011=>7
[7,2,6,8,5,1,3,4]=>0001011=>7
[8,6,5,4,1,3,7,2]=>0011111=>7
[8,2,3,4,1,6,7,5]=>0010011=>7
[9,2,3,4,5,6,1,8,7]=>00001011=>8
[9,2,3,4,5,1,7,8,6]=>00010011=>8
[9,2,3,4,1,6,7,8,5]=>00100011=>8
[9,2,3,1,5,6,7,8,4]=>01000011=>8
[9,2,1,4,5,6,7,8,3]=>10000011=>8
[10,2,3,4,5,6,7,1,9,8]=>000001011=>9
[5,2,3,4,1,9,6,8,7]=>00110011=>4
[10,2,3,4,5,6,1,8,9,7]=>000010011=>9
[4,2,3,1,9,5,7,8,6]=>01100011=>8
[10,2,3,4,5,1,7,8,9,6]=>000100011=>9
[3,2,1,9,4,6,7,8,5]=>11000011=>8
[10,2,3,4,1,6,7,8,9,5]=>001000011=>9
[2,1,9,3,5,6,7,8,4]=>10000011=>8
[10,2,3,1,5,6,7,8,9,4]=>010000011=>9
[10,2,1,4,5,6,7,8,9,3]=>100000011=>9
[7,4,3,8,1,6,5,2]=>0011111=>7
[6,5,1,4,3,8,7,2]=>0011111=>7
[4,7,6,2,5,8,1,3]=>0000111=>7
[6,3,2,4,5,8,1,7]=>0100101=>7
[2,6,4,5,8,3,1,7]=>0100101=>7
[3,7,4,8,6,2,5,1]=>0001111=>7
[7,3,5,2,8,1,4,6]=>0001011=>7
[1,5,8,7,4,2,3,6]=>0010011=>7
[1,7,2,4,5,8,6,3]=>0000111=>7
[1,4,6,8,7,2,5,3]=>0001011=>7
[1,6,2,7,5,3,4,8]=>0001110=>7
[1,3,7,2,6,4,5,8]=>0000110=>7
[1,7,3,2,8,5,6,4]=>0100111=>7
[1,6,5,2,4,8,3,7]=>0001101=>7
[1,7,3,8,4,2,5,6]=>0010011=>7
[1,6,2,4,7,5,8,3]=>0000111=>7
[1,6,2,7,4,3,8,5]=>0010111=>7
[1,5,8,2,3,6,4,7]=>0000101=>7
[6,8,9,1,2,3,4,5,7]=>00000001=>8
[5,8,9,1,2,3,4,6,7]=>00000001=>8
[2,5,3,6,7,1,4,8]=>0001010=>7
[6,4,1,5,7,2,3,8]=>0010110=>7
[6,4,1,5,7,3,8,2]=>0010111=>7
[1,2,7,3,8,5,6,4]=>0000111=>7
[7,4,1,6,3,8,2,5]=>0010111=>7
[1,5,7,4,3,8,6,2]=>0010111=>7
[2,7,3,1,4,5,8,6]=>0100011=>7
[2,3,4,5,1,7,6,9,8]=>00010101=>8
[2,3,4,1,6,5,8,7,9]=>00101010=>8
[2,3,4,5,6,7,1,9,8,10]=>000001010=>9
[2,3,4,5,1,8,6,9,7]=>00010011=>8
[2,3,4,1,7,5,8,6,9]=>00100110=>8
[2,3,4,5,1,7,6,9,8,10]=>000101010=>9
[6,5,8,3,2,7,1,4]=>0100111=>7
[8,4,3,1,7,6,5,2]=>0111111=>7
[1,2,6,7,5,3,4,8]=>0001010=>7
[1,2,6,8,7,4,5,3]=>0001011=>7
[3,4,5,6,7,9,1,8,2]=>00000011=>8
[3,4,5,6,8,2,7,1]=>0000011=>7
[3,4,5,6,7,8,10,1,9,2]=>000000011=>9
[3,4,5,6,7,9,2,8,1]=>00000011=>8
[3,4,5,6,7,1,9,8,2]=>00000111=>8
[7,2,1,4,5,6,3,8]=>1000110=>7
[1,5,6,7,3,4,2,8]=>0010010=>7
[4,6,8,5,2,1,7,3]=>1001011=>7
[1,6,7,8,2,4,5,3]=>0001001=>7
[4,7,8,2,1,3,5,6]=>1000001=>7
[5,7,8,3,2,4,6,1]=>0100101=>7
[5,7,8,2,3,1,6,4]=>0100101=>7
[5,3,4,2,1,9,8,7,6]=>10110111=>8
[6,5,3,4,2,1,9,8,7]=>10111011=>4
[7,6,4,5,3,2,1,9,8]=>11011101=>4
[4,5,2,7,8,6,1,3]=>0001101=>7
[1,3,5,8,7,2,6,4]=>0000111=>7
[6,4,1,8,5,7,3,2]=>0110111=>7
[4,1,3,8,7,5,2,6]=>0011011=>7
[8,5,1,6,7,2,4,3]=>0011011=>7
[3,6,7,2,1,5,8,4]=>1000011=>7
[2,5,6,1,3,8,7,4]=>0000111=>7
[7,2,5,6,1,3,8,4]=>0000111=>7
[6,4,1,2,5,8,3,7]=>0010101=>7
[4,6,3,5,7,1,8,2]=>0000111=>7
[4,7,3,5,2,6,8,1]=>0001011=>7
[2,3,5,4,7,1,8,6]=>0001011=>7
[6,8,4,1,5,7,3,2]=>0110011=>7
[8,1,6,2,3,7,5,4]=>0001111=>7
[7,8,9,6,1,2,3,4,10,5]=>000010011=>9
[2,8,9,10,7,1,3,4,5,6]=>000001001=>9
[8,9,10,7,6,1,2,3,4,11,5]=>0000110011=>10
[8,9,7,5,6,1,2,3,10,4]=>000011011=>9
[2,9,10,8,6,7,1,3,4,5]=>000001101=>9
[2,9,10,11,8,7,1,3,4,5,6]=>0000011001=>10
[7,8,9,10,1,2,3,4,5,11,6]=>0000000011=>10
[7,8,9,5,1,2,3,4,10,6]=>000100011=>9
[7,8,9,1,6,2,3,4,10,5]=>000010011=>9
[2,8,9,10,6,1,3,4,5,7]=>000010001=>9
[2,8,9,10,1,7,3,4,5,6]=>000001001=>9
[2,8,9,10,11,1,3,4,5,6,7]=>0000000001=>10
[2,8,3,6,4,1,7,5]=>0010111=>7
[6,5,3,4,8,2,1,7]=>1001101=>7
[5,4,8,7,3,6,2,1]=>1001111=>7
[3,4,5,1,2,6,7,8,9]=>00010000=>8
[5,2,7,6,8,3,4,1]=>0011011=>7
[7,3,4,2,8,5,6,1]=>0010111=>7
[4,2,3,5,6,7,8,9,10,1]=>001000001=>9
[2,3,4,5,6,7,8,11,1,9,10]=>0000000001=>10
[2,3,4,5,6,7,11,1,8,9,10]=>0000000001=>10
[2,3,4,5,6,11,1,7,8,9,10]=>0000000001=>10
[2,3,4,5,11,1,6,7,8,9,10]=>0000000001=>10
[2,3,4,11,1,5,6,7,8,9,10]=>0000000001=>10
[2,3,11,1,4,5,6,7,8,9,10]=>0000000001=>10
[1,7,8,4,3,6,5,2]=>0011101=>7
[1,7,8,3,6,5,4,2]=>0011101=>7
[6,4,5,8,7,2,1,3]=>1000111=>7
[5,8,1,7,2,4,3,6]=>0010011=>7
[2,5,7,3,8,1,4,6]=>0000011=>7
[8,3,5,2,1,6,7,4]=>1001011=>7
[2,6,4,7,1,8,5,3]=>0001111=>7
[1,6,5,7,3,8,2,4]=>0000111=>7
[1,8,5,3,7,6,2,4]=>0001111=>7
[6,4,2,3,8,7,5,1]=>0011111=>7
[6,5,1,3,8,4,2,7]=>0011101=>7
[6,1,4,2,7,8,3,5]=>0010101=>7
[6,5,1,3,7,8,4,2]=>0011101=>7
[5,1,3,2,7,8,6,4]=>0101101=>7
[5,6,8,2,4,7,1,3]=>0000011=>7
[6,7,4,2,3,8,5,1]=>0011011=>7
[5,8,7,3,2,4,6,1]=>0100111=>7
[5,1,3,2,6,8,4,7]=>0101001=>7
[5,7,1,4,6,8,2,3]=>0000011=>7
[2,4,1,7,5,6,3,8]=>0010110=>7
[1,4,3,7,6,2,8,5]=>0010111=>7
[1,6,2,5,7,3,8,4]=>0000111=>7
[1,4,3,8,2,5,7,6]=>0010011=>7
[1,5,7,3,6,4,2,8]=>0010110=>7
[1,6,7,2,4,8,3,5]=>0000011=>7
[3,7,2,8,4,1,5,6]=>0010011=>7
[2,4,1,5,3,6,8,7,9]=>00110010=>8
[2,4,1,7,3,8,5,6,9]=>00100110=>8
[5,3,4,1,7,8,6,2]=>0011101=>7
[4,7,6,5,8,2,3,1]=>0100111=>7
[2,3,8,4,5,7,1,6]=>0000011=>7
[4,1,8,3,2,6,5,7]=>0110101=>7
[1,2,6,8,4,3,5,7]=>0010001=>7
[7,2,6,3,1,8,4,5]=>0100111=>7
[5,8,4,1,3,7,2,6]=>0010011=>7
[3,4,2,1,6,8,5,7]=>1010001=>7
[8,1,3,5,6,4,7,2]=>0000111=>7
[3,4,7,1,5,6,2,8]=>0000110=>7
[4,8,2,6,5,3,7,1]=>0001111=>7
[4,8,7,2,5,6,1,3]=>0000111=>7
[5,8,6,4,7,3,2,1]=>1100111=>7
[8,5,2,3,1,6,7,4]=>0101011=>7
[2,8,6,3,5,1,7,4]=>0001111=>7
[8,3,2,6,4,1,7,5]=>0110111=>7
[8,4,1,5,3,6,7,2]=>0011011=>7
[8,3,5,1,4,6,7,2]=>0001011=>7
[8,5,1,3,4,6,7,2]=>0001011=>7
[3,8,6,2,5,4,7,1]=>0001111=>7
[3,8,4,6,5,2,7,1]=>0001111=>7
[8,1,7,4,2,5,3,6]=>0011011=>7
[8,3,2,5,1,4,7,6]=>0101011=>7
[8,4,5,1,2,6,7,3]=>0001011=>7
[8,1,5,3,2,6,7,4]=>0101011=>7
[8,1,5,2,4,6,7,3]=>0001011=>7
[5,2,6,4,1,3,8,7]=>0011101=>7
[7,1,3,5,2,8,6,4]=>0001111=>7
[8,6,4,7,1,3,5,2]=>0001111=>7
[6,8,4,3,2,1,7,5]=>1110011=>7
[2,1,8,5,4,3,7,6]=>1011011=>7
[6,2,8,5,4,1,3,7]=>0011101=>7
[6,4,8,5,3,2,7,1]=>0101111=>7
[9,10,6,7,4,5,2,3,1,8]=>010101001=>9
[8,5,4,6,2,7,1,3]=>0001111=>7
[6,8,5,4,7,2,3,1]=>0101011=>7
[2,5,7,3,4,8,1,6]=>0000011=>7
[5,2,4,7,8,1,3,6]=>0001001=>7
[8,5,9,3,6,1,2,4,7]=>00001011=>8
[9,7,1,5,8,3,6,2,4]=>00001111=>8
[9,7,5,4,1,3,8,2,6]=>00110111=>8
[8,9,4,5,10,1,2,3,6,7]=>000000011=>9
[8,4,3,9,10,1,2,5,6,7]=>001000101=>9
[9,6,10,1,3,7,8,2,4,5]=>000000111=>9
[9,10,6,7,4,5,1,2,3,8]=>000101001=>9
[9,6,4,10,3,7,1,2,5,8]=>000011011=>9
[10,1,8,9,6,7,4,5,2,3]=>000101011=>9
[10,8,6,1,4,9,3,7,2,5]=>000011111=>9
[10,8,6,5,4,1,3,9,2,7]=>001110111=>9
[10,8,7,6,5,4,3,1,2,9]=>011111101=>9
[4,8,5,6,1,2,7,3]=>0000111=>7
[2,5,6,8,7,1,4,3]=>0010011=>7
[1,7,8,5,4,6,2,3]=>0001101=>7
[4,6,8,1,5,2,7,3]=>0001011=>7
[5,3,8,1,2,6,7,4]=>0001011=>7
[8,2,3,6,4,1,7,5]=>0010111=>7
[2,3,7,5,8,6,1,4]=>0000111=>7
[3,8,5,1,2,4,7,6]=>0001011=>7
[1,3,6,4,8,2,7,5]=>0000111=>7
[1,2,3,4,6,5,7,8,9,10]=>000010000=>9
[1,2,3,4,5,6,8,7,9,10]=>000000100=>9
[1,7,6,2,8,5,3,4]=>0001111=>7
[1,5,8,6,4,7,2,3]=>0000111=>7
[5,6,2,8,1,7,3,4]=>0000111=>7
[6,8,4,5,1,3,7,2]=>0001011=>7
[5,2,3,8,1,4,6,7]=>0001001=>7
[1,6,8,3,2,4,5,7]=>0100001=>7
[9,6,5,4,3,2,1,7,8]=>11111001=>8
[10,7,6,5,4,3,2,1,8,9]=>111111001=>9
[9,8,5,4,3,2,1,6,7]=>11110011=>8
[8,6,5,2,4,3,7,1]=>0011111=>7
[6,2,5,3,7,4,8,1]=>0001111=>7
[8,5,4,2,6,3,7,1]=>0011111=>7
[8,5,3,2,6,4,7,1]=>0101111=>7
[7,4,6,5,8,2,3,1]=>0100111=>7
[7,3,6,5,8,2,4,1]=>0010111=>7
[7,3,6,4,8,2,5,1]=>0001111=>7
[7,3,5,4,8,2,6,1]=>0001111=>7
[7,3,6,8,4,5,1,2]=>0001011=>7
[1,6,5,7,4,2,8,3]=>0010111=>7
[1,2,7,4,8,5,6,3]=>0000111=>7
[2,6,7,4,8,5,1,3]=>0001011=>7
[2,5,8,6,4,3,7,1]=>0010111=>7
[6,4,2,5,7,1,8,3]=>0010111=>7
[2,7,5,4,6,8,1,3]=>0001011=>7
[9,1,2,3,4,5,8,7,6]=>00000111=>8
[9,1,2,3,4,8,6,7,5]=>00000111=>8
[8,1,4,7,3,5,6,2]=>0000111=>7
[9,1,2,8,4,5,6,7,3]=>00000111=>8
[8,3,7,2,4,5,6,1]=>0000111=>7
[9,1,8,3,4,5,6,7,2]=>00000111=>8
[10,1,2,3,4,5,6,9,8,7]=>000000111=>9
[9,1,2,3,4,7,8,6,5]=>00001011=>8
[10,1,2,3,4,5,9,7,8,6]=>000000111=>9
[9,1,2,3,6,8,5,7,4]=>00000111=>8
[9,1,2,5,8,4,6,7,3]=>00000111=>8
[10,1,2,3,9,5,6,7,8,4]=>000000111=>9
[8,1,4,5,7,3,6,2]=>0000111=>7
[9,1,4,8,3,5,6,7,2]=>00000111=>8
[10,1,2,9,4,5,6,7,8,3]=>000000111=>9
[9,3,8,2,4,5,6,7,1]=>00000111=>8
[5,6,3,4,2,8,7,1]=>0010111=>7
[2,5,7,4,6,8,1,3]=>0000011=>7
[2,5,6,4,1,3,8,7]=>0010101=>7
[4,6,1,3,5,7,2,8]=>0000110=>7
[3,2,7,5,8,1,6,4]=>0100111=>7
[4,3,6,8,5,2,1,7]=>1011001=>7
[4,5,3,2,1,8,6,7]=>1101001=>7
[3,6,5,8,1,7,4,2]=>0010111=>7
[4,1,6,8,5,2,3,7]=>0011001=>7
[4,5,2,8,6,7,1,3]=>0001011=>7
[4,5,2,8,6,7,3,1]=>0101011=>7
[3,5,8,6,2,4,7,1]=>0000111=>7
[2,5,1,6,4,8,3,7]=>0001101=>7
[3,2,4,5,8,6,1,7]=>0100101=>7
[4,5,2,1,3,8,6,7]=>1001001=>7
[4,2,3,6,8,5,1,7]=>0011001=>7
[4,5,1,3,2,8,6,7]=>0101001=>7
[3,4,5,8,6,1,7,2]=>0000111=>7
[3,4,5,8,6,1,2,7]=>0000101=>7
[6,4,1,3,7,8,2,5]=>0010101=>7
[6,3,1,2,5,4,8,7]=>0101101=>7
[7,3,1,2,5,4,8,6]=>0101011=>7
[8,2,6,4,1,3,7,5]=>0010111=>7
[1,5,8,2,4,3,7,6]=>0010011=>7
[4,3,7,8,2,6,5,1]=>0011101=>7
[3,8,5,1,2,6,7,4]=>0001011=>7
[2,4,7,8,3,6,5,1]=>0001101=>7
[5,4,7,8,3,6,1,2]=>0001101=>7
[6,8,1,3,2,5,7,4]=>0100011=>7
[1,4,8,5,7,2,3,6]=>0000011=>7
[1,8,7,3,2,4,5,6]=>0100011=>7
[8,6,2,7,3,4,1,5]=>0010111=>7
[8,6,2,7,3,4,5,1]=>0001111=>7
[5,6,3,2,8,7,1,4]=>0100111=>7
[5,1,6,7,8,3,2,4]=>0101001=>7
[1,5,6,3,7,2,4,8]=>0000110=>7
[1,5,6,7,4,2,3,8]=>0010010=>7
[5,1,6,7,3,4,2,8]=>0011010=>7
[8,6,1,7,3,4,5,2]=>0001111=>7
[6,8,5,1,7,4,2,3]=>0011011=>7
[8,4,2,3,5,7,6,1]=>0010111=>7
[4,8,5,2,3,1,6,7]=>0101001=>7
[5,4,8,3,1,2,6,7]=>0101001=>7
[8,4,7,3,2,5,6,1]=>0100111=>7
[6,8,5,1,7,3,4,2]=>0011011=>7
[6,2,7,3,8,1,4,5]=>0000111=>7
[8,4,2,6,7,1,5,3]=>0011011=>7
[1,7,8,3,6,5,2,4]=>0001101=>7
[4,6,7,5,1,8,2,3]=>0001011=>7
[3,5,2,6,8,7,4,1]=>0011011=>7
[7,3,6,8,4,1,2,5]=>0010011=>7
[6,4,2,3,7,5,8,1]=>0010111=>7
[6,3,7,5,1,2,8,4]=>0001111=>7
[7,2,5,4,8,6,3,1]=>0101111=>7
[6,2,3,8,7,4,5,1]=>0001111=>7
[7,1,2,8,4,6,5,3]=>0001111=>7
[3,5,8,1,2,7,6,4]=>0000111=>7
[1,4,3,6,8,5,2,7]=>0011001=>7
[7,6,2,8,5,3,4,1]=>0011111=>7
[6,8,3,5,4,7,2,1]=>1001011=>7
[8,2,7,6,4,1,3,5]=>0010111=>7
[8,3,7,5,1,6,2,4]=>0001111=>7
[8,5,7,1,4,2,6,3]=>0010111=>7
[4,7,1,5,6,3,2,8]=>0100110=>7
[4,5,7,1,6,3,8,2]=>0000111=>7
[3,9,2,1,4,5,6,7,8]=>10000001=>8
[4,6,5,7,2,3,8,1]=>0000111=>7
[3,6,7,2,5,8,4,1]=>0010011=>7
[5,3,6,7,4,8,1,2]=>0001011=>7
[4,2,7,8,3,6,5,1]=>0011101=>7
[4,2,7,8,5,6,1,3]=>0010101=>7
[5,4,3,7,8,1,6,2]=>0011101=>7
[3,5,7,8,4,2,1,6]=>1010001=>7
[4,6,7,3,2,8,1,5]=>0100011=>7
[4,6,5,3,7,8,1,2]=>0001101=>7
[5,6,2,4,7,8,3,1]=>0100101=>7
[5,6,3,2,8,4,7,1]=>0100111=>7
[5,6,2,8,3,4,7,1]=>0000111=>7
[3,7,4,8,1,6,5,2]=>0001111=>7
[5,2,4,8,6,7,3,1]=>0101011=>7
[5,2,6,4,8,7,3,1]=>0101111=>7
[2,4,7,8,6,5,1,3]=>0001101=>7
[3,4,5,6,8,9,1,7,2]=>00000101=>8
[3,4,6,7,8,9,1,5,2]=>00010001=>4
[3,5,6,7,8,9,1,4,2]=>00100001=>8
[4,5,6,7,8,9,1,3,2]=>01000001=>8
[3,4,5,6,7,9,10,1,8,2]=>000000101=>9
[3,4,5,7,8,9,10,1,6,2]=>000010001=>9
[5,2,6,7,8,1,4,3]=>0011001=>7
[3,4,6,7,8,9,10,1,5,2]=>000100001=>9
[4,5,6,7,8,9,10,1,3,2]=>010000001=>9
[4,8,2,7,5,3,1,6]=>0101011=>7
[1,2,4,6,5,8,3,7]=>0000101=>7
[5,4,2,3,1,7,8,6]=>0111001=>7
[3,5,8,1,7,4,2,6]=>0010011=>7
[5,8,6,1,7,2,3,4]=>0000111=>7
[5,1,4,3,8,2,6,7]=>0011001=>7
[8,4,7,5,6,2,1,3]=>1000111=>7
[3,8,6,7,5,2,4,1]=>0011011=>7
[8,2,5,4,7,3,6,1]=>0001111=>7
[4,2,8,7,3,6,5,1]=>0011111=>7
[3,7,8,6,1,4,5,2]=>0001101=>7
[4,6,7,8,2,1,5,3]=>1001001=>7
[4,7,6,3,8,1,5,2]=>0001111=>7
[3,8,1,4,6,2,5,7]=>0000101=>7
[2,4,5,3,8,7,1,6]=>0001011=>7
[4,7,5,6,2,8,1,3]=>0000111=>7
[8,7,5,1,6,3,2,4]=>0101111=>7
[7,8,6,2,3,5,1,4]=>0001101=>7
[2,8,4,6,7,3,5,1]=>0001011=>7
[4,1,6,7,8,2,5,3]=>0011001=>7
[8,6,3,4,1,2,7,5]=>0010111=>7
[2,5,8,4,6,1,3,7]=>0000101=>7
[4,7,8,6,5,1,3,2]=>0101101=>7
[8,4,6,7,3,5,2,1]=>1001011=>7
[6,8,4,7,3,5,2,1]=>1001011=>7
[7,4,5,8,3,6,2,1]=>1000111=>7
[8,4,7,3,5,6,2,1]=>1000111=>7
[3,6,4,2,8,1,7,5]=>0010111=>7
[3,4,8,6,2,1,7,5]=>1000111=>7
[8,4,6,2,1,7,3,5]=>1000111=>7
[3,8,6,2,1,7,4,5]=>1000111=>7
[3,1,8,2,4,6,5,7]=>0100101=>7
[8,1,7,6,2,5,4,3]=>0011111=>7
[8,5,4,3,7,6,1,2]=>0011111=>7
[4,8,1,3,6,7,5,2]=>0001011=>7
[3,5,8,6,1,7,4,2]=>0010111=>7
[8,1,4,7,5,2,6,3]=>0001111=>7
[1,4,8,6,7,3,5,2]=>0001011=>7
[4,1,6,7,8,5,3,2]=>0111001=>7
[3,7,8,6,4,1,5,2]=>0011101=>7
[5,4,2,3,6,7,8,9,1]=>00110001=>8
[6,5,4,2,3,7,8,9,1]=>00111001=>8
[7,6,5,4,2,3,8,9,1]=>00111101=>8
[4,6,1,5,7,2,3,8]=>0000110=>7
[4,8,5,3,2,7,1,6]=>0101011=>7
[5,4,8,1,3,7,2,6]=>0001011=>7
[8,4,5,3,1,7,2,6]=>0101011=>7
[7,4,5,3,1,8,6,2]=>0101111=>7
[5,6,8,7,2,4,3,1]=>0110011=>7
[5,7,8,6,4,2,3,1]=>0110101=>7
[6,8,7,5,1,3,2,4]=>0101011=>7
[3,8,2,6,7,5,1,4]=>0001011=>7
[4,7,6,3,8,2,5,1]=>0001111=>7
[6,7,4,1,8,2,5,3]=>0011011=>7
[5,7,6,8,3,2,4,1]=>0110011=>7
[7,6,4,2,8,1,5,3]=>0011111=>7
[6,3,4,8,7,1,2,5]=>0000111=>7
[2,7,4,8,1,6,3,5]=>0000111=>7
[5,3,1,6,7,8,2,4]=>0101001=>7
[3,4,7,8,6,1,2,5]=>0000101=>7
[2,1,4,7,8,6,3,5]=>1000101=>7
[2,4,5,8,1,6,3,7]=>0000101=>7
[3,4,6,8,2,5,7,1]=>0000011=>7
[1,8,5,6,4,2,3,7]=>0010101=>7
[1,8,7,6,2,4,5,3]=>0001111=>7
[6,4,8,5,7,3,1,2]=>0100111=>7
[1,6,4,7,2,5,8,3]=>0000111=>7
[2,7,5,1,8,6,3,4]=>0001111=>7
[4,7,1,6,5,3,8,2]=>0001111=>7
[1,7,5,6,4,8,2,3]=>0000111=>7
[2,4,8,5,7,3,1,6]=>0100011=>7
[8,3,1,4,6,2,7,5]=>0100111=>7
[7,2,6,4,5,8,1,3]=>0000111=>7
[7,2,5,4,6,8,1,3]=>0001011=>7
[4,6,7,8,9,1,2,3,5]=>00000001=>8
[5,7,8,9,1,2,3,4,6]=>00000001=>8
[6,4,5,7,3,8,2,9,1,10]=>000011110=>9
[2,7,1,5,3,8,6,4]=>0001111=>7
[3,5,7,2,8,4,1,6]=>0010011=>7
[2,4,3,8,5,1,7,6]=>0011011=>7
[7,3,2,1,4,8,6,5]=>1100111=>7
[2,8,3,4,1,7,6,5]=>0010111=>7
[4,7,6,8,2,5,3,1]=>0101011=>7
[2,6,7,1,4,5,8,3]=>0000011=>7
[8,7,2,6,1,5,3,4]=>0001111=>7
[7,1,3,8,2,6,4,5]=>0000111=>7
[2,7,3,4,1,5,8,6]=>0010011=>7
[2,5,8,1,6,7,3,4]=>0000011=>7
[6,2,8,3,4,5,1,7]=>0001101=>7
[7,3,4,6,8,2,1,5]=>1000011=>7
[5,1,3,7,2,8,4,6]=>0001011=>7
[5,2,4,6,1,7,8,3]=>0001101=>7
[3,8,4,6,1,5,7,2]=>0000111=>7
[8,7,3,2,5,1,6,4]=>0101111=>7
[3,6,4,1,2,5,8,7]=>0010101=>7
[5,2,7,1,4,3,6,8]=>0011010=>7
[6,3,1,4,2,5,8,7]=>0110101=>7
[5,2,3,1,4,6,8,7]=>0101001=>7
[4,2,7,1,3,5,8,6]=>0010011=>7
[3,5,1,7,6,2,8,4]=>0001111=>7
[8,3,6,2,7,5,4,1]=>0011111=>7
[8,4,2,6,5,3,7,1]=>0011111=>7
[5,4,2,7,1,8,6,3]=>0011111=>7
[4,1,7,6,5,3,2,8]=>0111110=>7
[2,3,6,7,1,8,5,4]=>0001011=>7
[3,6,1,2,7,8,5,4]=>0001101=>7
[4,5,1,8,7,6,3,2]=>0101111=>7
[8,4,5,2,7,6,3,1]=>0101111=>7
[4,1,3,6,7,5,2,8]=>0011010=>7
[3,1,4,5,7,6,2,8]=>0100110=>7
[4,5,1,3,6,8,7,2]=>0001011=>7
[3,8,5,1,2,4,6,7]=>0001001=>7
[8,5,1,2,4,3,6,7]=>0011001=>7
[5,8,4,1,2,3,6,7]=>0010001=>7
[3,5,8,1,4,2,7,6]=>0010011=>7
[2,8,5,7,1,4,3,6]=>0010011=>7
[4,8,7,5,1,2,3,6]=>0001011=>7
[8,1,2,4,6,3,7,5]=>0000111=>7
[7,6,1,4,2,3,8,5]=>0010111=>7
[6,1,2,7,8,4,3,5]=>0010101=>7
[7,8,1,2,5,3,4,6]=>0001001=>7
[1,8,4,7,5,2,3,6]=>0001011=>7
[8,4,7,2,1,6,3,5]=>1000111=>7
[4,5,8,2,1,6,7,3]=>1000011=>7
[7,4,2,5,3,6,1,8]=>0011110=>7
[3,1,6,7,5,2,4,8]=>0101010=>7
[8,4,2,5,3,6,7,1]=>0011011=>7
[4,8,1,5,3,6,7,2]=>0001011=>7
[4,1,7,5,2,6,3,8]=>0011110=>7
[5,1,4,6,3,7,8,2]=>0001101=>7
[7,1,5,3,6,8,2,4]=>0001011=>7
[8,1,5,3,6,7,2,4]=>0001011=>7
[3,6,5,2,4,7,8,1]=>0001101=>7
[1,7,5,4,6,8,2,3]=>0001011=>7
[4,7,8,2,5,6,1,3]=>0000101=>7
[2,8,5,4,6,7,1,3]=>0001011=>7
[7,5,1,3,2,6,4,8,9]=>01011100=>8
[9,6,1,3,4,2,7,8,5]=>00101011=>8
[8,3,6,1,4,2,7,5,9]=>00101110=>8
[9,8,1,7,2,3,4,5,6]=>00000111=>8
[9,3,4,7,1,5,2,8,6]=>00010111=>8
[7,5,1,3,2,6,4,8,9,10]=>010111000=>9
[9,6,1,3,4,2,7,8,5,10]=>001010110=>9
[8,3,6,1,4,2,7,5,9,10]=>001011100=>9
[10,1,8,3,2,5,7,4,9,6]=>010001111=>9
[10,3,7,1,4,5,2,8,9,6]=>000101011=>9
[9,3,4,7,1,5,2,8,6,10]=>000101110=>9
[7,10,1,3,8,2,6,5,9,4]=>000010111=>9
[10,9,5,1,8,2,4,3,6,7]=>001100111=>9
[10,3,4,5,8,1,6,2,9,7]=>000010111=>9
[4,5,2,6,1,8,3,7]=>0001101=>7
[5,1,8,6,7,3,4,2]=>0011011=>7
[6,8,3,2,4,1,5,7]=>0110001=>7
[6,5,2,4,1,7,8,3]=>0011101=>7
[5,4,8,2,1,3,6,7]=>1001001=>7
[1,4,8,3,2,6,5,7]=>0100101=>7
[1,3,8,4,2,7,5,6]=>0010011=>7
[7,2,8,3,1,4,5,6]=>0100011=>7
[8,1,3,2,7,5,4,6]=>0101011=>7
[9,8,7,5,6,4,3,2,10,1]=>011011111=>9
[8,7,5,4,6,3,2,9,1]=>01011111=>8
[8,7,4,6,5,3,2,9,1]=>01011111=>8
[2,3,4,7,8,9,6,5,1]=>00011001=>8
[2,3,6,7,8,9,5,4,1]=>00110001=>8
[2,5,6,7,8,9,4,3,1]=>01100001=>8
[2,3,4,5,6,1,9,8,7]=>00001011=>8
[2,3,4,5,1,9,8,7,6]=>00010111=>8
[2,3,4,5,6,9,10,8,7,1]=>000001101=>9
[2,3,4,1,8,9,7,6,5]=>00101101=>8
[2,3,4,5,8,9,10,7,6,1]=>000011001=>9
[2,3,1,7,8,9,6,5,4]=>01011001=>8
[2,3,4,7,8,9,10,6,5,1]=>000110001=>9
[2,1,6,7,8,9,5,4,3]=>10110001=>8
[2,3,6,7,8,9,10,5,4,1]=>001100001=>9
[2,5,6,7,8,9,10,4,3,1]=>011000001=>9
[9,10,2,4,6,8,1,3,5,7]=>000000101=>9
[7,8,2,4,6,10,1,3,5,9]=>000000101=>9
[9,7,10,2,4,6,8,1,3,5]=>000000111=>9
[8,9,10,7,2,4,6,1,3,5]=>000011001=>9
[5,6,2,4,8,10,1,3,7,9]=>000010001=>9
[5,6,9,10,2,4,8,1,3,7]=>000000101=>9
[7,5,8,2,4,6,10,1,3,9]=>000001101=>9
[7,9,5,10,2,4,6,8,1,3]=>000000111=>9
[5,8,9,10,7,2,4,6,1,3]=>000011001=>9
[6,7,8,5,2,4,10,1,3,9]=>000100101=>9
[9,6,7,5,10,2,4,8,1,3]=>000001111=>9
[8,9,6,10,5,7,2,4,1,3]=>001001011=>9
[7,8,9,10,6,5,2,4,1,3]=>001110001=>9
[3,4,2,6,8,10,1,5,7,9]=>001000001=>9
[3,4,9,10,2,6,8,1,5,7]=>000000101=>9
[3,4,7,8,2,6,10,1,5,9]=>000000101=>9
[9,3,4,7,10,2,6,8,1,5]=>000000111=>9
[8,9,10,3,4,7,2,6,1,5]=>000011001=>9
[5,3,6,2,4,8,10,1,7,9]=>000110001=>9
[5,3,6,9,10,2,4,8,1,7]=>000100101=>9
[5,7,3,8,2,4,6,10,1,9]=>000001101=>9
[5,7,9,3,10,2,4,6,8,1]=>000000111=>9
[8,5,9,10,3,7,2,4,6,1]=>000011101=>9
[3,6,7,8,5,2,4,10,1,9]=>000100101=>9
[9,3,6,7,5,10,2,4,8,1]=>000001111=>9
[6,8,3,9,10,5,7,2,4,1]=>001001101=>9
[7,8,9,10,3,6,5,2,4,1]=>001110001=>9
[4,5,6,3,2,8,10,1,7,9]=>010010001=>9
[4,5,6,3,9,10,2,8,1,7]=>000010101=>9
[7,4,5,3,8,2,6,10,1,9]=>000101101=>9
[7,4,5,9,3,10,2,6,8,1]=>000001111=>9
[4,8,5,9,10,3,7,2,6,1]=>000011101=>9
[6,7,4,8,3,5,2,10,1,9]=>000101101=>9
[6,7,9,4,3,5,10,2,8,1]=>001000111=>9
[8,6,9,4,10,3,5,7,2,1]=>100001111=>9
[7,4,8,9,10,6,3,5,2,1]=>100111001=>9
[5,6,7,8,4,3,2,10,1,9]=>011000101=>9
[9,5,6,7,4,3,10,2,8,1]=>001001111=>9
[8,9,5,6,4,10,3,7,2,1]=>100011011=>9
[7,8,9,5,10,4,6,3,2,1]=>110010011=>9
[7,6,1,8,2,5,4,3]=>0011111=>7
[8,4,1,6,7,3,5,2]=>0011011=>7
[5,8,4,2,1,6,3,7]=>1010101=>7
[7,6,4,1,2,5,3,8]=>0011110=>7
[5,4,2,8,1,6,3,7]=>0011101=>7
[8,7,2,6,4,5,3,1]=>0101111=>7
[7,2,8,4,3,6,1,5]=>0010111=>7
[1,7,5,4,8,6,2,3]=>0001111=>7
[4,8,6,3,5,2,1,7]=>1001101=>7
[5,8,6,3,2,7,1,4]=>0100111=>7
[5,7,6,3,2,4,8,1]=>0100111=>7
[5,7,3,2,8,6,4,1]=>0110111=>7
[4,5,1,6,8,2,7,3]=>0001011=>7
[1,2,4,5,6,8,10,9,3,7]=>000000011=>9
[1,2,3,5,7,8,10,6,9,4]=>000000011=>9
[1,2,4,5,7,8,10,3,9,6]=>000000011=>9
[1,2,4,6,7,5,10,8,3,9]=>000001101=>9
[1,3,4,2,7,8,10,5,9,6]=>001000011=>9
[1,3,4,6,7,2,10,8,5,9]=>000001101=>9
[1,2,3,5,6,9,8,10,7,4]=>000001011=>9
[1,2,4,5,6,9,8,10,3,7]=>000000011=>9
[1,2,3,5,7,9,6,10,8,4]=>000000111=>9
[1,2,4,5,7,9,3,10,8,6]=>000000111=>9
[1,2,4,6,5,9,7,10,3,8]=>000010011=>9
[1,3,4,2,7,9,5,10,8,6]=>001000111=>9
[1,3,4,6,2,9,7,10,5,8]=>000010011=>9
[1,2,3,5,8,7,9,6,10,4]=>000000111=>9
[1,2,4,5,8,7,9,3,10,6]=>000000111=>9
[1,2,4,6,8,5,9,3,10,7]=>000000111=>9
[1,2,4,7,6,8,5,9,3,10]=>000001110=>9
[1,3,4,2,8,7,9,5,10,6]=>001000111=>9
[1,3,4,6,8,2,9,5,10,7]=>000000111=>9
[1,3,4,7,6,8,2,9,5,10]=>000001110=>9
[1,2,3,6,5,9,7,10,8,4]=>000010111=>9
[1,2,4,6,3,9,7,10,8,5]=>000010111=>9
[1,2,5,4,6,9,7,10,3,8]=>000100011=>9
[1,3,2,6,4,9,7,10,8,5]=>010010111=>9
[1,3,5,2,6,9,7,10,4,8]=>000100011=>9
[1,2,3,6,8,5,9,7,10,4]=>000000111=>9
[1,2,4,6,8,3,9,7,10,5]=>000000111=>9
[1,2,5,4,8,6,9,3,10,7]=>000100111=>9
[1,2,5,7,4,8,6,9,3,10]=>000001110=>9
[1,3,2,6,8,4,9,7,10,5]=>010000111=>9
[1,3,5,2,8,6,9,4,10,7]=>000100111=>9
[1,3,5,7,2,8,6,9,4,10]=>000001110=>9
[1,4,3,5,8,2,9,6,10,7]=>001000111=>9
[1,4,3,7,5,8,2,9,6,10]=>001001110=>9
[2,1,3,6,4,9,7,10,8,5]=>100010111=>9
[2,1,5,3,6,9,7,10,4,8]=>100100011=>9
[2,1,3,6,8,4,9,7,10,5]=>100000111=>9
[2,1,5,3,8,6,9,4,10,7]=>100100111=>9
[2,1,5,7,3,8,6,9,4,10]=>100001110=>9
[2,4,1,5,8,3,9,6,10,7]=>001000111=>9
[2,4,1,7,5,8,3,9,6,10]=>001001110=>9
[1,6,3,7,2,4,8,5]=>0000111=>7
[8,9,7,6,5,4,3,1,2]=>01111101=>8
[8,6,7,5,4,3,2,1,9]=>11110110=>8
[8,7,9,6,5,4,3,1,2]=>01111011=>8
[9,7,8,6,5,4,3,1,2]=>01111011=>8
[4,3,7,1,6,2,5,8]=>0010110=>7
[4,3,1,6,7,2,5,8]=>0110010=>7
[6,3,1,5,7,2,4,8]=>0100110=>7
[8,7,5,4,3,6,9,2,1]=>10110111=>8
[8,7,6,9,5,3,4,2,1]=>10110111=>8
[8,7,9,6,5,4,2,3,1]=>01111011=>8
[5,2,1,4,8,6,7,3]=>1001011=>7
[4,5,2,1,3,7,6,8]=>1001010=>7
[8,2,7,4,1,6,5,3]=>0011111=>7
[3,2,8,4,1,6,5,7]=>0110101=>7
[3,7,6,4,1,5,8,2]=>0010111=>7
[7,1,6,5,4,2,8,3]=>0011111=>7
[7,1,8,4,2,3,6,5]=>0010111=>7
[2,7,6,4,5,1,8,3]=>0001111=>7
[4,6,8,1,7,3,5,2]=>0001011=>7
[3,6,8,1,5,7,4,2]=>0010011=>7
[2,8,3,1,6,7,4,5]=>0100011=>7
[4,5,6,8,2,1,7,3]=>1000011=>7
[4,5,6,8,1,3,7,2]=>0000011=>7
[4,5,8,3,2,1,7,6]=>1100011=>7
[4,5,1,3,2,6,7,8]=>0101000=>7
[4,7,3,2,1,6,5,8]=>1100110=>7
[4,7,8,3,5,1,6,2]=>0001101=>7
[4,7,1,3,5,6,2,8]=>0000110=>7
[4,8,3,2,1,6,7,5]=>1100011=>7
[5,2,8,1,4,6,7,3]=>0001011=>7
[5,6,3,7,8,1,4,2]=>0010101=>7
[5,7,1,4,3,6,2,8]=>0010110=>7
[6,2,3,7,1,5,4,8]=>0001110=>7
[6,2,8,1,5,4,7,3]=>0001111=>7
[6,1,3,4,5,2,7,8]=>0001100=>7
[7,1,3,4,5,6,2,8]=>0000110=>7
[7,2,5,1,3,6,4,8]=>0001110=>7
[6,5,2,7,8,4,3,1]=>0111101=>7
[7,5,3,6,4,2,1,8]=>1011110=>7
[2,3,6,5,8,4,7,1]=>0000111=>7
[1,3,6,7,5,2,4,8]=>0001010=>7
[1,5,2,6,8,7,3,4]=>0001011=>7
[3,2,1,5,6,7,8,9,4]=>11000001=>8
[3,2,6,1,4,7,8,9,5]=>01001001=>8
[4,3,2,1,6,7,8,9,5]=>11100001=>8
[3,2,7,8,1,4,5,9,6]=>01000011=>8
[4,7,2,5,1,3,8,9,6]=>00010101=>8
[4,3,2,7,1,5,8,9,6]=>01100101=>8
[5,4,3,2,1,7,8,9,6]=>11110001=>8
[4,3,2,8,9,1,5,6,7]=>01100001=>8
[8,5,6,3,4,1,2,9,7]=>00101011=>8
[5,3,8,2,6,1,4,9,7]=>00011011=>8
[5,4,3,2,8,1,6,9,7]=>01110011=>8
[6,5,4,3,2,1,8,9,7]=>11111001=>8
[6,9,4,7,2,5,1,3,8]=>00010101=>8
[6,4,3,9,2,7,1,5,8]=>00101101=>8
[6,5,4,3,2,9,1,7,8]=>01111001=>8
[5,6,1,2,3,7,8,9,10,4]=>000010001=>9
[2,5,1,3,6,7,8,9,10,4]=>000100001=>9
[3,2,1,5,6,7,8,9,10,4]=>110000001=>9
[6,7,8,1,2,3,4,9,10,5]=>000000101=>9
[2,6,7,1,3,4,8,9,10,5]=>000001001=>9
[6,3,4,1,2,7,8,9,10,5]=>001010001=>9
[3,2,6,1,4,7,8,9,10,5]=>010010001=>9
[4,3,2,1,6,7,8,9,10,5]=>111000001=>9
[2,7,8,9,1,3,4,5,10,6]=>000000011=>9
[7,3,4,8,1,2,5,9,10,6]=>000001101=>9
[3,2,7,8,1,4,5,9,10,6]=>010000101=>9
[4,7,2,5,1,3,8,9,10,6]=>000101001=>9
[4,3,2,7,1,5,8,9,10,6]=>011001001=>9
[5,4,3,2,1,7,8,9,10,6]=>111100001=>9
[8,3,4,9,10,1,2,5,6,7]=>000000101=>9
[8,9,4,5,6,1,2,3,10,7]=>000010011=>9
[4,3,2,8,9,1,5,6,10,7]=>011000011=>9
[8,5,6,3,4,1,2,9,10,7]=>001010101=>9
[5,3,8,2,6,1,4,9,10,7]=>000110101=>9
[5,4,3,2,8,1,6,9,10,7]=>011100101=>9
[6,5,4,3,2,1,8,9,10,7]=>111110001=>9
[5,9,10,2,6,7,1,3,4,8]=>000001001=>9
[9,5,6,3,4,10,1,2,7,8]=>000010011=>9
[5,3,9,2,6,10,1,4,7,8]=>000100011=>9
[5,4,3,2,9,10,1,6,7,8]=>011100001=>9
[6,9,4,7,2,5,1,3,10,8]=>000101011=>9
[6,4,3,9,2,7,1,5,10,8]=>001011011=>9
[6,5,4,3,2,9,1,7,10,8]=>011110011=>9
[7,6,5,4,3,2,1,9,10,8]=>111111001=>9
[10,7,8,5,6,3,4,1,2,9]=>001010101=>9
[7,5,10,3,8,2,6,1,4,9]=>000011101=>9
[7,5,4,3,10,2,8,1,6,9]=>001101101=>9
[7,6,5,4,3,2,10,1,8,9]=>011111001=>9
[5,3,4,7,2,1,6,8]=>1001010=>7
[7,6,9,5,4,3,2,1,8]=>11110101=>8
[4,8,5,7,1,2,3,6]=>0000011=>7
[4,2,3,7,6,1,8,5]=>0010111=>7
[4,2,6,3,1,5,7,8]=>0110100=>7
[2,1,8,7,4,3,6,5,10,9]=>101011101=>9
[4,6,3,2,5,8,7,1]=>0100111=>7
[5,8,4,3,2,6,1,7]=>0110101=>7
[1,5,7,4,8,6,2,3]=>0000111=>7
[6,1,5,7,3,8,2,4]=>0000111=>7
[1,2,7,8,6,4,3,5]=>0010101=>7
[3,5,1,7,8,6,2,4]=>0001101=>7
[5,2,4,1,7,6,8,3]=>0011011=>7
[2,1,4,3,6,5,7,9,10,8]=>101010001=>9
[2,1,4,3,5,7,8,6,10,9]=>101000101=>9
[2,1,4,3,5,7,6,9,10,8]=>101001001=>9
[2,1,4,3,5,6,8,9,10,7]=>101000001=>9
[2,1,3,5,6,4,8,7,10,9]=>100010101=>9
[2,1,3,5,6,4,7,9,10,8]=>100010001=>9
[2,1,3,5,4,7,8,6,10,9]=>100100101=>9
[2,1,3,5,4,7,6,9,10,8]=>100101001=>9
[2,1,3,5,4,6,8,9,10,7]=>100100001=>9
[2,1,3,4,6,7,8,5,10,9]=>100000101=>9
[2,1,3,4,6,7,5,9,10,8]=>100001001=>9
[2,1,3,4,6,5,8,9,10,7]=>100010001=>9
[2,1,3,4,5,7,8,9,10,6]=>100000001=>9
[1,3,4,2,6,5,7,9,10,8]=>001010001=>9
[1,3,4,2,5,7,8,6,10,9]=>001000101=>9
[1,3,4,2,5,7,6,9,10,8]=>001001001=>3
[1,3,4,2,5,6,8,9,10,7]=>001000001=>9
[1,3,2,5,6,4,8,7,10,9]=>010010101=>9
[1,3,2,5,6,4,7,9,10,8]=>010010001=>9
[1,3,2,5,4,7,8,6,10,9]=>010100101=>9
[1,3,2,5,4,7,6,9,10,8]=>010101001=>9
[1,3,2,5,4,6,8,9,10,7]=>010100001=>9
[1,3,2,4,6,7,8,5,10,9]=>010000101=>9
[1,3,2,4,6,7,5,9,10,8]=>010001001=>9
[1,3,2,4,6,5,8,9,10,7]=>010010001=>9
[1,3,2,4,5,7,8,9,10,6]=>010000001=>9
[1,2,4,5,6,3,8,7,10,9]=>000010101=>9
[1,2,4,5,6,3,7,9,10,8]=>000010001=>9
[1,2,4,5,3,7,8,6,10,9]=>000100101=>9
[1,2,4,5,3,7,6,9,10,8]=>000101001=>9
[1,2,4,5,3,6,8,9,10,7]=>000100001=>9
[1,2,4,3,6,7,8,5,10,9]=>001000101=>9
[1,2,4,3,6,7,5,9,10,8]=>001001001=>3
[1,2,4,3,6,5,8,9,10,7]=>001010001=>9
[1,2,4,3,5,7,8,9,10,6]=>001000001=>9
[1,2,3,5,6,7,8,4,10,9]=>000000101=>9
[1,2,3,5,6,7,4,9,10,8]=>000001001=>9
[1,2,3,5,6,4,8,9,10,7]=>000010001=>9
[1,2,3,5,4,7,8,9,10,6]=>000100001=>9
[2,3,4,9,6,7,8,5,1]=>00010011=>8
[2,3,9,5,6,7,8,4,1]=>00100011=>8
[2,9,4,5,6,7,8,3,1]=>01000011=>8
[9,3,4,5,6,7,8,2,1]=>10000011=>8
[2,3,4,5,6,10,8,9,7,1]=>000001011=>9
[2,3,4,1,9,7,8,6,5]=>00101011=>8
[2,3,4,5,10,7,8,9,6,1]=>000010011=>9
[2,3,1,9,6,7,8,5,4]=>01010011=>8
[2,3,4,10,6,7,8,9,5,1]=>000100011=>9
[2,1,9,5,6,7,8,4,3]=>10100011=>8
[2,3,10,5,6,7,8,9,4,1]=>001000011=>9
[1,9,4,5,6,7,8,3,2]=>01000011=>8
[2,10,4,5,6,7,8,9,3,1]=>010000011=>9
[10,3,4,5,6,7,8,9,2,1]=>100000011=>9
[5,6,4,7,3,9,1,8,2]=>00001111=>8
[5,6,4,9,1,8,2,7,3]=>00001111=>8
[5,9,1,8,2,7,3,6,4]=>00001111=>8
[9,1,8,2,7,3,6,4,5]=>00001111=>8
[5,4,3,8,1,7,2,6]=>0011011=>7
[5,4,9,1,8,2,7,3,6]=>00010111=>8
[5,4,6,3,9,1,8,2,7]=>00011011=>8
[5,4,6,3,7,2,9,1,8]=>00011101=>8
[6,5,7,4,8,3,10,1,9,2]=>000011111=>9
[5,6,4,8,2,9,1,7,3]=>00001111=>8
[6,5,7,4,10,1,9,2,8,3]=>000011111=>9
[5,7,3,9,1,8,2,6,4]=>00001111=>8
[6,5,10,1,9,2,8,3,7,4]=>000011111=>9
[6,4,9,1,8,2,7,3,5]=>00001111=>8
[4,5,9,1,8,2,7,3,6]=>00000111=>8
[5,10,1,9,2,8,3,7,4,6]=>000001111=>9
[6,4,5,3,9,1,8,2,7]=>00011011=>8
[5,6,4,10,1,9,2,8,3,7]=>000010111=>9
[5,4,7,3,6,2,9,1,8]=>00011101=>8
[5,6,4,7,3,10,1,9,2,8]=>000011011=>9
[5,6,4,7,3,8,2,10,1,9]=>000011101=>9
[7,3,1,5,6,8,4,2]=>0110011=>7
[2,10,1,3,4,5,6,9,7,8]=>000000011=>9
[2,9,1,3,4,5,6,7,10,8]=>000000011=>9
[2,11,1,3,4,5,6,7,10,8,9]=>0000000011=>10
[10,3,1,2,4,5,6,9,7,8]=>010000011=>9
[3,1,10,2,4,5,6,9,7,8]=>010000011=>9
[9,3,1,2,4,5,6,7,10,8]=>010000011=>9
[3,1,9,2,4,5,6,7,10,8]=>010000011=>9
[2,10,1,3,4,5,6,7,8,11,9]=>0000000011=>10
[7,2,3,1,6,8,4,5]=>0100011=>7
[4,1,8,2,5,6,3,7]=>0010101=>7
[5,7,8,1,6,2,3,4]=>0000101=>7
[1,6,4,2,7,3,8,5]=>0010111=>7
[1,4,2,5,8,6,3,7]=>0010101=>7
[5,4,3,2,1,8,9,7,6]=>11110101=>8
[4,3,2,1,8,9,7,6,5]=>11101101=>8
[3,2,1,8,9,7,6,5,4]=>11011101=>4
[2,1,8,9,7,6,5,4,3]=>10111101=>8
[4,8,2,1,5,7,3,6]=>1000011=>7
[5,2,7,1,6,3,4,8]=>0001110=>7
[4,8,2,5,1,6,3,7]=>0001101=>7
[5,8,1,2,4,6,3,7]=>0000101=>7
[5,1,7,3,6,4,2,8]=>0011110=>7
[3,2,7,5,6,1,4,8]=>0100110=>7
[3,2,7,1,6,4,5,8]=>0100110=>7
[6,3,1,7,5,4,2,8]=>0111110=>7
[9,8,3,4,5,6,7,1,2]=>00000111=>8
[9,8,2,3,4,5,6,1,7]=>00001011=>8
[6,2,8,7,3,4,5,1]=>0001111=>7
[9,4,5,6,7,8,2,1,3]=>10000011=>8
[9,3,4,5,6,7,2,1,8]=>10000101=>8
[11,10,2,3,4,5,6,7,8,9,1]=>0000000111=>10
[10,9,3,4,5,6,7,8,1,2]=>000000111=>9
[10,9,2,3,4,5,6,7,1,8]=>000001011=>9
[7,2,9,8,3,4,5,6,1]=>00001111=>8
[9,8,2,3,4,5,1,6,7]=>00010011=>8
[7,3,4,8,5,6,2,1]=>1000111=>7
[9,5,6,7,8,2,1,3,4]=>10000011=>8
[7,3,6,8,4,5,2,1]=>1001011=>7
[8,3,9,4,5,6,7,2,1]=>10000111=>8
[10,4,5,6,7,8,9,2,1,3]=>100000011=>9
[9,3,4,5,6,2,1,7,8]=>10001001=>8
[10,3,4,5,6,7,8,2,1,9]=>100000101=>9
[5,6,2,8,3,1,7,4]=>0100111=>7
[1,4,7,5,6,2,8,3]=>0000111=>7
[1,7,4,8,3,5,6,2]=>0000111=>7
[5,3,1,4,8,6,2,7]=>0101101=>7
[5,2,4,8,3,1,6,7]=>0101001=>7
[7,4,5,1,8,6,2,3]=>0001111=>7
[8,1,5,7,6,3,2,4]=>0100111=>7
[1,8,6,7,5,3,2,4]=>0101011=>7
[7,4,8,3,1,6,5,2]=>0101111=>7
[8,1,5,3,7,6,2,4]=>0001111=>7
[6,4,8,7,3,5,1,2]=>0001111=>7
[6,1,4,2,3,5,7,8]=>0010100=>7
[6,5,1,8,3,7,4,2]=>0011111=>7
[7,1,4,3,8,6,5,2]=>0011111=>7
[8,5,4,1,7,3,2,6]=>0111011=>7
[4,5,3,8,1,7,6,2]=>0001111=>7
[4,7,6,3,2,8,5,1]=>0101111=>7
[5,7,6,3,8,2,4,1]=>0010111=>7
[6,8,4,7,1,2,5,3]=>0001011=>7
[1,3,7,6,8,4,5,2]=>0001011=>7
[6,1,5,7,2,8,3,4]=>0000111=>7
[1,8,7,2,5,6,3,4]=>0000111=>7
[1,8,2,6,7,4,3,5]=>0010011=>7
[2,5,4,8,7,6,1,3]=>0001111=>7
[1,8,7,6,3,5,4,2]=>0011111=>7
[1,8,5,7,6,4,3,2]=>0110111=>7
[1,6,2,7,3,8,4,9,5]=>00001111=>8
[1,8,5,2,9,6,3,10,7,4]=>000111111=>9
[7,2,4,1,8,5,3,6]=>0011011=>7
[7,3,2,1,4,6,8,5]=>1100011=>7
[4,7,2,6,1,8,3,5]=>0000111=>7
[8,7,3,5,2,1,6,4]=>1001111=>7
[7,5,3,2,1,6,8,4]=>1101011=>7
[6,8,1,3,4,2,5,7]=>0010001=>7
[2,5,7,1,3,6,4,8]=>0000110=>7
[1,4,7,2,5,3,6,8]=>0001010=>7
[4,5,3,1,2,6,8,7]=>0101001=>7
[4,5,1,3,8,2,6,7]=>0001001=>7
[4,1,5,3,2,7,6,8]=>0111010=>7
[7,3,5,1,4,2,6,8]=>0011010=>7
[6,2,1,7,4,3,8,5]=>1010111=>7
[2,4,3,6,7,1,5,8]=>0010010=>7
[7,3,5,2,1,6,4,8]=>1001110=>7
[4,6,5,2,1,3,7,8]=>1001100=>7
[2,5,6,1,4,3,7,8]=>0010100=>7
[6,1,5,3,7,2,4,8]=>0001110=>7
[3,6,5,4,1,7,2,8]=>0011110=>7
[10,9,3,8,7,6,5,4,2,1]=>101111111=>9
[8,7,6,4,5,3,2,1,10,9]=>110111101=>9
[10,9,8,6,5,4,7,3,2,1]=>110111111=>9
[9,11,1,2,3,4,5,6,7,8,10]=>0000000001=>10
[6,7,1,9,2,3,4,5,8]=>00000101=>8
[6,1,8,9,2,3,4,5,7]=>00001001=>8
[8,1,9,10,2,3,4,5,6,7]=>000000101=>9
[6,8,7,5,4,2,1,3]=>1011011=>7
[1,6,8,7,3,2,4,5]=>0100011=>7
[8,7,5,4,6,1,3,2]=>0101111=>7
[1,7,8,2,4,6,3,5]=>0000101=>7
[7,5,4,8,1,3,6,2]=>0001111=>7
[5,6,1,8,4,3,7,2]=>0010111=>7
[1,8,2,6,7,5,4,3]=>0011011=>7
[2,7,5,1,6,8,3,4]=>0001011=>7
[8,5,4,2,7,3,6,1]=>0011111=>7
[3,8,6,1,2,4,5,7]=>0000101=>7
[1,8,5,3,2,7,4,6]=>0101011=>7
[1,8,4,7,2,3,5,6]=>0000011=>7
[3,2,8,1,7,5,4,6]=>0101011=>7
[3,4,5,6,2,1,7,8,9]=>10001000=>4
[3,4,5,2,1,6,7,8,9]=>10010000=>8
[7,1,5,6,2,3,4,8]=>0000110=>7
[6,5,1,7,2,3,4,8]=>0001110=>7
[1,6,8,2,7,3,4,5]=>0000011=>7
[1,6,8,7,3,4,2,5]=>0010011=>7
[4,1,3,6,7,8,5,2]=>0011001=>7
[7,4,1,5,6,8,3,2]=>0110011=>7
[4,1,2,6,7,8,5,3]=>0011001=>7
[5,10,4,9,3,8,2,1,7,6]=>100001111=>9
[5,10,4,9,3,2,8,7,1,6]=>010001111=>9
[5,10,4,9,3,2,8,1,7,6]=>010001111=>9
[5,10,4,9,3,2,1,8,7,6]=>110001111=>9
[5,10,4,3,9,8,2,7,1,6]=>001001111=>9
[5,10,4,3,9,8,2,1,7,6]=>101001111=>9
[5,10,4,3,9,2,8,7,1,6]=>001001111=>9
[5,10,4,3,9,2,8,1,7,6]=>001001111=>9
[5,10,4,3,9,2,1,8,7,6]=>101001111=>9
[5,10,4,3,2,9,8,7,1,6]=>011001111=>9
[5,10,4,3,2,9,8,1,7,6]=>011001111=>9
[5,10,4,3,2,9,1,8,7,6]=>011001111=>9
[5,10,4,3,2,1,9,8,7,6]=>111001111=>9
[5,4,10,9,3,8,2,7,1,6]=>000101111=>9
[5,4,10,9,3,8,2,1,7,6]=>100101111=>9
[5,4,10,9,3,2,8,7,1,6]=>010101111=>9
[5,4,10,9,3,2,8,1,7,6]=>010101111=>9
[5,4,10,9,3,2,1,8,7,6]=>110101111=>9
[5,4,10,3,9,8,2,7,1,6]=>000101111=>9
[5,4,10,3,9,8,2,1,7,6]=>100101111=>9
[5,4,10,3,9,2,8,7,1,6]=>000101111=>9
[5,4,10,3,9,2,8,1,7,6]=>000101111=>9
[5,4,10,3,9,2,1,8,7,6]=>100101111=>9
[5,4,10,3,2,9,8,7,1,6]=>010101111=>9
[5,4,10,3,2,9,8,1,7,6]=>010101111=>9
[5,4,10,3,2,9,1,8,7,6]=>010101111=>9
[5,4,10,3,2,1,9,8,7,6]=>110101111=>9
[5,4,3,10,9,8,2,7,1,6]=>001101111=>9
[5,4,3,10,9,8,2,1,7,6]=>101101111=>9
[5,4,3,10,9,2,8,7,1,6]=>001101111=>9
[5,4,3,10,9,2,8,1,7,6]=>001101111=>9
[5,4,3,10,9,2,1,8,7,6]=>101101111=>9
[5,4,3,10,2,9,8,7,1,6]=>001101111=>9
[5,4,3,10,2,9,8,1,7,6]=>001101111=>9
[5,4,3,10,2,9,1,8,7,6]=>001101111=>9
[5,4,3,10,2,1,9,8,7,6]=>101101111=>9
[5,4,3,2,10,9,8,7,1,6]=>011101111=>9
[5,4,3,2,10,9,8,1,7,6]=>011101111=>9
[5,4,3,2,10,9,1,8,7,6]=>011101111=>9
[5,4,3,2,10,1,9,8,7,6]=>011101111=>9
[3,4,5,8,9,1,2,6,7]=>00000001=>8
[3,4,7,8,9,1,2,5,6]=>00000001=>8
[3,6,7,8,9,1,2,4,5]=>00000001=>8
[3,4,5,6,1,7,2,8,9]=>00001100=>8
[3,4,5,1,6,2,7,8,9]=>00011000=>8
[3,4,5,6,7,10,1,2,8,9]=>000000001=>9
[3,4,1,5,9,2,6,7,8]=>00100001=>8
[3,4,5,6,9,10,1,2,7,8]=>000000001=>9
[3,4,5,8,9,10,1,2,6,7]=>000000001=>9
[1,3,7,8,9,2,4,5,6]=>00000001=>8
[3,4,7,8,9,10,1,2,5,6]=>000000001=>9
[2,6,7,8,9,1,3,4,5]=>00000001=>8
[3,6,7,8,9,10,1,2,4,5]=>000000001=>9
[3,7,8,2,1,4,5,6]=>1000001=>7
[6,3,7,1,8,2,4,5]=>0000111=>7
[3,7,8,1,5,2,6,4]=>0001101=>7
[2,1,4,3,6,5,10,7,9,8]=>101010011=>9
[2,1,4,3,8,5,7,6,10,9]=>101001101=>9
[2,1,4,3,10,9,7,5,6,8]=>101001011=>9
[2,1,4,3,10,5,6,8,9,7]=>101000011=>9
[2,1,6,3,5,4,8,7,10,9]=>100110101=>9
[2,1,6,3,5,4,10,7,9,8]=>100110011=>9
[2,1,8,7,5,3,4,6,10,9]=>100101101=>9
[2,1,10,7,5,9,4,3,6,8]=>101001011=>9
[2,1,10,8,5,3,6,4,9,7]=>100110111=>9
[2,1,8,3,4,6,7,5,10,9]=>100001101=>9
[2,1,10,9,4,6,7,3,5,8]=>100001011=>9
[2,1,10,3,9,6,4,8,5,7]=>100010111=>9
[2,1,10,3,4,5,7,8,9,6]=>100000011=>9
[4,1,3,2,6,5,8,7,10,9]=>011010101=>9
[4,1,3,2,6,5,10,7,9,8]=>011010011=>9
[4,1,3,2,8,5,7,6,10,9]=>011001101=>9
[4,1,3,2,10,9,7,5,6,8]=>011001011=>9
[4,1,3,2,10,5,6,8,9,7]=>011000011=>9
[6,5,3,1,2,4,10,7,9,8]=>010110011=>9
[8,5,3,7,2,1,4,6,10,9]=>100101101=>9
[10,5,3,7,2,9,4,1,6,8]=>001101011=>9
[10,5,3,8,2,1,6,4,9,7]=>100110111=>9
[8,6,3,1,4,2,7,5,10,9]=>011011101=>9
[10,6,3,9,4,2,7,1,5,8]=>001011011=>9
[10,6,3,1,9,2,4,8,5,7]=>010010111=>9
[10,7,3,1,4,5,2,8,9,6]=>010101011=>9
[6,1,2,4,5,3,8,7,10,9]=>000110101=>9
[6,1,2,4,5,3,10,7,9,8]=>000110011=>9
[8,7,2,4,5,1,3,6,10,9]=>000101101=>9
[10,7,2,4,5,9,3,1,6,8]=>010001011=>9
[10,8,2,4,5,1,6,3,9,7]=>000110111=>9
[8,1,7,4,2,6,3,5,10,9]=>001011101=>9
[10,9,7,4,2,6,3,1,5,8]=>011011011=>3
[10,1,8,4,9,6,2,3,5,7]=>000010111=>9
[10,1,8,4,2,5,7,3,9,6]=>001001111=>9
[8,1,2,3,5,6,7,4,10,9]=>000001101=>9
[10,9,2,3,5,6,7,1,4,8]=>000001011=>9
[10,1,9,3,5,6,2,8,4,7]=>000010111=>9
[10,1,2,9,5,3,7,8,4,6]=>000100111=>9
[1,5,4,7,8,3,6,2]=>0001101=>7
[5,1,4,7,8,3,6,2]=>0001101=>7
[4,8,1,5,6,2,3,7]=>0000101=>7
[5,6,4,1,7,3,8,2]=>0010111=>7
[4,3,7,8,2,5,1,6]=>0011001=>7
[3,7,8,5,4,2,1,6]=>1011001=>7
[1,7,4,5,6,8,3,2]=>0100011=>7
[7,2,4,5,6,8,3,1]=>0100011=>7
[2,7,4,5,6,8,3,1]=>0100011=>7
[2,4,7,8,3,1,6,5]=>0100101=>7
[5,4,3,6,8,1,7,2]=>0011011=>7
[3,7,4,5,8,1,6,2]=>0000111=>7
[1,4,3,5,6,8,2,7]=>0010001=>7
[1,4,6,5,8,2,7,3]=>0000111=>7
[4,6,1,7,3,2,8,5]=>0100111=>7
[1,7,3,6,4,2,8,5]=>0010111=>7
[4,7,3,5,1,2,8,6]=>0001011=>7
[1,6,4,2,3,5,8,7]=>0010101=>7
[4,8,3,5,2,1,6,7]=>1001001=>7
[10,9,7,6,5,4,3,8,2,1]=>101111111=>9
[1,6,8,4,7,5,3,2]=>0101011=>7
[8,7,3,1,5,2,6,4]=>0101111=>7
[4,7,1,6,8,2,3,5]=>0000011=>7
[4,6,5,8,2,3,7,1]=>0000111=>7
[7,1,8,2,4,5,3,6]=>0001011=>7
[5,7,8,2,3,4,1,6]=>0010001=>7
[5,2,3,8,7,1,4,6]=>0001011=>7
[8,7,1,3,2,6,4,5]=>0100111=>7
[2,7,6,4,8,3,1,5]=>0100111=>7
[2,6,3,7,5,8,4,1]=>0010111=>7
[7,5,1,2,3,8,4,6]=>0001011=>7
[4,3,5,2,6,1,7,8,9]=>00111000=>8
[4,5,3,6,2,7,1,8,9]=>00011100=>8
[3,2,4,1,5,6,7,8,9,10]=>011000000=>9
[3,4,2,5,1,6,7,8,9,10]=>001100000=>9
[4,3,5,2,6,1,7,8,9,10]=>001110000=>9
[4,5,3,6,2,7,1,8,9,10]=>000111000=>9
[5,4,6,3,7,2,8,1,9,10]=>000111100=>9
[8,6,2,1,3,7,4,5]=>1000111=>7
[4,2,3,6,8,5,7,1]=>0010011=>7
[4,7,3,2,6,5,1,8]=>0101110=>7
[4,3,7,8,2,1,6,5]=>1010101=>7
[4,8,7,2,1,5,6,3]=>1000111=>7
[7,3,8,2,5,1,6,4]=>0001111=>7
[4,5,3,8,6,1,2,7]=>0001101=>7
[6,3,5,8,4,1,2,7]=>0010101=>7
[7,3,8,4,5,1,2,6]=>0001011=>7
[4,8,7,5,1,2,6,3]=>0001111=>7
[7,8,4,6,1,3,5,2]=>0001101=>7
[4,8,7,5,1,3,6,2]=>0001111=>7
[4,5,3,6,8,1,2,7]=>0001001=>7
[7,8,6,2,1,4,3,5]=>1010101=>7
[7,8,6,3,1,2,5,4]=>0101101=>7
[3,7,6,4,1,5,2,8]=>0011110=>7
[5,2,8,4,7,1,3,6]=>0001011=>7
[7,3,1,2,8,6,5,4]=>0101111=>7
[8,7,1,3,2,4,5,6]=>0100011=>7
[4,1,3,6,5,7,2,8]=>0010110=>7
[4,1,3,5,7,2,8,6]=>0010011=>7
[5,1,8,2,4,6,3,7]=>0001101=>7
[6,8,2,1,4,5,3,7]=>1001001=>7
[4,2,7,3,6,8,5,1]=>0011011=>7
[3,1,5,8,6,7,2,4]=>0100011=>7
[6,8,2,1,4,5,7,3]=>1000011=>7
[2,1,4,3,6,5,10,7,8,9]=>101010001=>9
[2,1,4,3,8,5,6,7,10,9]=>101000101=>9
[2,1,4,3,10,9,6,5,8,7]=>101010111=>9
[2,1,4,3,10,5,6,7,8,9]=>101000001=>9
[2,1,6,3,4,5,8,7,10,9]=>100010101=>9
[2,1,6,3,4,5,10,7,8,9]=>100010001=>9
[2,1,10,7,4,9,6,3,8,5]=>100011111=>9
[2,1,10,9,4,3,6,7,8,5]=>101000111=>9
[2,1,8,3,4,5,6,7,10,9]=>100000101=>9
[2,1,10,9,4,5,6,3,8,7]=>100010111=>9
[2,1,10,3,8,5,4,7,6,9]=>100101101=>9
[4,1,2,3,6,5,10,7,8,9]=>001010001=>9
[4,1,2,3,8,5,6,7,10,9]=>001000101=>9
[4,1,2,3,10,9,6,5,8,7]=>001010111=>9
[6,5,2,1,4,3,8,7,10,9]=>101110101=>9
[6,5,2,1,4,3,10,7,8,9]=>101110001=>9
[8,5,2,7,4,1,6,3,10,9]=>001111101=>9
[10,5,2,7,4,9,6,1,8,3]=>000111111=>9
[10,5,2,9,4,1,6,7,8,3]=>001100111=>9
[8,7,2,1,4,5,6,3,10,9]=>100011101=>9
[10,7,2,9,4,5,6,1,8,3]=>000011111=>9
[10,9,2,1,8,5,4,7,6,3]=>100111111=>9
[10,9,2,1,4,5,6,7,8,3]=>100000111=>9
[6,1,2,3,4,5,8,7,10,9]=>000010101=>9
[8,7,2,3,4,1,6,5,10,9]=>001011101=>9
[10,7,2,3,4,9,6,1,8,5]=>000011111=>9
[10,9,2,3,4,1,6,7,8,5]=>001000111=>9
[8,1,6,3,2,5,4,7,10,9]=>010110101=>9
[10,9,6,3,2,5,4,1,8,7]=>011110111=>9
[10,1,6,3,8,5,2,7,4,9]=>000111101=>9
[10,1,8,3,2,5,6,7,4,9]=>010001101=>9
[10,9,2,3,4,5,6,1,8,7]=>000010111=>9
[10,1,8,3,4,5,2,7,6,9]=>000101101=>9
[10,1,2,7,4,3,6,5,8,9]=>001011001=>9
[1,5,4,8,7,3,2,6]=>0101011=>7
[4,3,1,2,6,5,7,8]=>0110100=>7
[7,1,4,5,8,3,6,2]=>0000111=>7
[7,5,8,1,2,4,6,3]=>0000111=>7
[6,1,5,2,8,7,4,3]=>0011111=>7
[8,4,6,3,1,2,7,5]=>0100111=>7
[3,8,6,4,1,5,7,2]=>0010111=>7
[8,7,1,4,5,2,3,6]=>0001011=>7
[3,8,6,4,5,1,7,2]=>0001111=>7
[3,7,6,4,5,1,2,8]=>0001110=>7
[7,4,6,3,1,2,8,5]=>0100111=>7
[4,6,2,5,7,8,1,3]=>0000101=>7
[4,6,3,5,7,1,2,8]=>0000110=>7
[4,7,3,5,8,6,1,2]=>0000111=>7
[4,8,3,5,7,1,6,2]=>0000111=>7
[4,8,3,5,6,1,2,7]=>0000101=>7
[4,7,2,5,6,8,1,3]=>0000011=>7
[4,8,2,5,6,7,1,3]=>0000011=>7
[1,4,7,2,6,5,8,3]=>0000111=>7
[1,5,7,2,6,4,8,3]=>0000111=>7
[7,2,4,6,1,8,3,5]=>0000111=>7
[1,2,7,8,3,5,4,6]=>0001001=>7
[1,7,6,2,8,5,4,3]=>0011111=>7
[1,2,7,8,3,4,6,5]=>0000101=>7
[1,7,6,8,3,4,2,5]=>0010011=>7
[3,4,1,7,8,6,5,2]=>0011101=>7
[2,4,8,6,5,7,1,3]=>0000111=>7
[5,1,3,4,8,2,7,6]=>0001011=>7
[8,7,3,6,1,4,2,5]=>0010111=>7
[6,5,1,8,3,4,7,2]=>0001111=>7
[8,2,1,5,6,4,7,3]=>1000111=>7
[7,5,6,1,3,4,8,2]=>0000111=>7
[5,7,2,4,6,1,8,3]=>0000111=>7
[2,1,5,6,3,8,7,4]=>1000111=>7
[3,2,7,5,8,6,4,1]=>0110111=>7
[2,4,5,3,8,1,7,6]=>0001011=>7
[7,2,5,4,3,8,6,1]=>0011111=>7
[8,5,3,1,2,6,7,4]=>0101011=>7
[7,2,5,1,3,6,8,4]=>0001011=>7
[8,4,7,3,1,2,6,5]=>0100111=>7
[1,8,7,3,5,2,6,4]=>0001111=>7
[2,4,8,3,6,5,7,1]=>0000111=>7
[3,1,8,2,6,5,7,4]=>0100111=>7
[4,6,7,8,5,2,1,3]=>1001001=>7
[4,7,2,1,8,6,5,3]=>1001111=>7
[5,6,2,8,4,1,7,3]=>0010111=>7
[5,7,2,4,8,6,1,3]=>0000111=>7
[6,7,2,4,8,5,1,3]=>0001011=>7
[6,7,3,2,8,5,1,4]=>0101011=>7
[7,2,3,1,8,6,5,4]=>0101111=>7
[7,2,8,3,5,6,1,4]=>0000111=>7
[7,2,3,8,4,6,1,5]=>0000111=>7
[1,7,3,4,8,5,2,6]=>0001011=>7
[1,7,3,8,5,4,2,6]=>0011011=>7
[7,2,8,4,5,3,1,6]=>0101011=>7
[2,8,6,4,3,1,7,5]=>0110111=>7
[1,7,3,4,8,2,5,6]=>0000011=>7
[1,5,8,3,4,6,2,7]=>0000101=>7
[1,3,8,4,2,5,7,6]=>0010011=>7
[1,4,7,6,2,3,8,5]=>0000111=>7
[1,8,4,6,7,2,3,5]=>0000011=>7
[1,4,2,3,7,8,6,5]=>0010101=>7
[5,7,1,6,4,8,3,2]=>0100111=>7
[1,2,9,7,5,3,10,8,6,4]=>000111111=>9
[7,4,5,8,1,3,6,2]=>0000111=>7
[1,4,3,6,2,5,8,7]=>0010101=>7
[1,4,6,3,2,5,8,7]=>0100101=>7
[1,3,6,5,8,2,4,7]=>0000101=>7
[1,4,6,3,2,8,5,7]=>0100101=>7
[6,8,4,1,5,7,2,3]=>0010011=>7
[5,2,6,7,4,1,8,3]=>0011011=>7
[8,5,6,4,1,7,3,2]=>0110111=>7
[7,8,3,1,6,4,5,2]=>0101101=>7
[5,8,2,6,3,1,7,4]=>0100111=>7
[4,5,8,1,6,3,7,2]=>0000111=>7
[8,1,4,6,2,5,7,3]=>0000111=>7
[4,5,8,1,6,2,7,3]=>0000111=>7
[5,2,6,8,1,4,3,7]=>0011001=>7
[6,7,3,8,2,1,4,5]=>1000011=>7
[2,4,1,5,6,7,8,10,3,9]=>001000001=>9
[2,7,3,5,4,1,8,6]=>0011011=>7
[2,6,3,7,4,1,8,5]=>0010111=>7
[2,1,4,8,5,3,7,6]=>1001011=>7
[2,7,3,8,4,1,6,5]=>0010111=>7
[2,6,3,1,5,4,8,7]=>0101101=>7
[1,5,8,3,4,7,2,6]=>0000011=>7
[5,3,8,1,4,6,2,7]=>0001101=>7
[4,5,8,1,3,6,2,7]=>0000101=>7
[7,4,6,5,2,8,3,1]=>0101111=>7
[4,1,3,8,5,7,6,2]=>0010111=>7
[4,1,3,7,2,8,6,5]=>0010111=>7
[4,6,3,1,7,2,8,5]=>0100111=>7
[7,2,6,3,1,8,5,4]=>0101111=>7
[4,8,7,2,5,3,1,6]=>0101011=>7
[1,6,3,2,8,7,4,5]=>0100111=>7
[2,8,1,7,5,4,6,3]=>0001111=>7
[6,8,3,1,5,7,2,4]=>0100011=>7
[8,7,3,1,2,5,6,4]=>0100111=>7
[7,4,5,1,2,6,8,3]=>0001011=>7
[1,3,5,7,2,8,4,9,6]=>00000111=>8
[1,3,5,6,2,7,4,9,8]=>00001101=>8
[1,3,4,5,2,7,6,9,8]=>00010101=>8
[3,5,7,1,2,4,6,9,8]=>00000101=>8
[1,3,5,7,2,9,4,6,8,10]=>000001010=>9
[3,5,7,8,1,9,2,4,6]=>00000011=>8
[1,3,5,7,2,9,4,10,6,8]=>000001011=>9
[3,5,6,7,1,8,2,9,4]=>00000111=>8
[1,3,5,7,2,8,4,9,6,10]=>000001110=>9
[1,3,5,6,2,7,4,9,8,10]=>000011010=>9
[1,3,4,5,2,7,6,9,8,10]=>000101010=>9
[5,4,3,6,1,7,8,2]=>0011101=>7
[3,2,7,8,5,6,1,4]=>0100101=>7
[4,8,3,2,1,7,5,6]=>1100011=>7
[5,1,2,6,4,7,8,3]=>0001101=>7
[7,1,2,3,4,9,6,8,5]=>00000111=>8
[7,1,2,3,4,8,6,9,5]=>00000111=>8
[8,1,2,3,9,5,6,7,4]=>00000111=>8
[7,1,2,3,9,5,6,8,4]=>00000111=>8
[7,1,2,3,8,5,6,9,4]=>00000111=>8
[6,1,2,3,8,5,9,7,4]=>00001111=>8
[6,1,2,3,7,5,8,9,4]=>00001101=>8
[6,1,2,8,4,5,9,7,3]=>00001111=>8
[6,1,2,7,4,5,8,9,3]=>00001101=>8
[5,1,2,7,4,9,6,8,3]=>00010111=>8
[5,1,2,7,4,8,6,9,3]=>00010111=>8
[5,1,2,6,4,7,8,9,3]=>00011001=>8
[4,1,6,3,8,5,9,7,2]=>00101111=>8
[4,1,6,3,7,5,8,9,2]=>00101101=>8
[4,1,5,3,6,7,8,9,2]=>00110001=>8
[10,1,2,3,4,5,7,8,9,6]=>000000011=>9
[8,1,2,3,4,5,10,7,9,6]=>000000111=>9
[8,1,2,3,4,5,9,7,10,6]=>000000111=>9
[9,1,2,3,4,10,6,7,8,5]=>000000111=>9
[8,1,2,3,4,10,6,7,9,5]=>000000111=>9
[8,1,2,3,4,9,6,7,10,5]=>000000111=>9
[7,1,2,3,4,9,6,10,8,5]=>000001111=>9
[7,1,2,3,4,8,6,9,10,5]=>000001101=>9
[8,1,2,3,10,5,6,7,9,4]=>000000111=>9
[8,1,2,3,9,5,6,7,10,4]=>000000111=>9
[7,1,2,3,10,5,6,8,9,4]=>000001011=>9
[7,1,2,3,8,5,6,9,10,4]=>000001101=>9
[6,1,2,3,8,5,10,7,9,4]=>000010111=>9
[6,1,2,3,8,5,9,7,10,4]=>000010111=>9
[6,1,2,3,7,5,8,9,10,4]=>000011001=>9
[6,1,2,9,4,5,10,7,8,3]=>000010111=>9
[6,1,2,8,4,5,10,7,9,3]=>000010111=>9
[6,1,2,8,4,5,9,7,10,3]=>000010111=>9
[6,1,2,7,4,5,8,9,10,3]=>000011001=>9
[5,1,2,7,4,9,6,10,8,3]=>000101111=>9
[5,1,2,7,4,8,6,9,10,3]=>000101101=>9
[5,1,2,6,4,7,8,9,10,3]=>000110001=>9
[4,1,6,3,8,5,9,7,10,2]=>001010111=>9
[4,1,6,3,7,5,8,9,10,2]=>001011001=>9
[4,1,5,3,6,7,8,9,10,2]=>001100001=>9
[1,9,8,7,6,4,3,2,5]=>01101111=>8
[1,9,8,7,5,4,3,2,6]=>01110111=>4
[1,9,8,6,5,4,3,2,7]=>01111011=>8
[1,9,7,6,5,4,3,2,8]=>01111101=>8
[1,9,8,7,6,5,2,3,4]=>00011111=>8
[1,10,9,8,7,6,5,3,2,4]=>010111111=>9
[1,9,8,7,6,3,4,2,5]=>00101111=>8
[1,10,9,8,7,6,4,3,2,5]=>011011111=>9
[1,9,8,7,4,5,3,2,6]=>01010111=>8
[1,10,9,8,7,5,4,3,2,6]=>011101111=>9
[1,9,8,5,6,4,3,2,7]=>01101011=>8
[1,10,9,8,6,5,4,3,2,7]=>011110111=>9
[1,8,4,5,6,3,2,7]=>0100101=>7
[1,9,6,7,5,4,3,2,8]=>01110101=>8
[1,10,9,7,6,5,4,3,2,8]=>011111011=>9
[1,7,8,6,5,4,3,2,9]=>01111010=>8
[1,10,8,7,6,5,4,3,2,9]=>011111101=>9
[8,5,1,7,4,6,3,2]=>0101111=>7
[3,4,8,1,6,7,2,5]=>0000011=>7
[3,6,7,8,4,1,5,2]=>0011001=>7
[2,3,7,8,4,6,1,5]=>0000101=>7
[1,3,7,8,4,6,2,5]=>0000101=>7
[3,1,7,8,4,6,2,5]=>0100101=>7
[4,3,8,1,6,7,2,5]=>0010011=>7
[4,8,7,3,6,1,2,5]=>0000111=>7
[5,8,4,3,7,1,2,6]=>0010011=>7
[4,1,8,3,7,5,2,6]=>0011011=>7
[2,4,8,3,6,7,1,5]=>0000011=>7
[1,6,5,8,7,3,2,4]=>0100111=>7
[5,6,4,8,7,2,1,3]=>1000111=>7
[7,2,6,8,3,5,1,4]=>0001011=>7
[7,2,8,6,5,3,1,4]=>0101111=>7
[4,8,3,7,6,1,2,5]=>0000111=>7
[2,8,4,7,1,3,6,5]=>0000111=>7
[8,9,2,3,4,5,6,1,7]=>00001001=>8
[7,8,9,2,3,4,5,1,6]=>00010001=>4
[6,7,8,9,2,3,4,1,5]=>00100001=>8
[5,6,7,8,9,2,3,1,4]=>01000001=>8
[9,10,2,3,4,5,6,7,1,8]=>000001001=>9
[8,9,10,2,3,4,5,6,1,7]=>000010001=>9
[7,8,9,2,3,4,1,5,6]=>00100001=>8
[7,8,9,10,2,3,4,5,1,6]=>000100001=>9
[6,7,8,9,2,3,1,4,5]=>01000001=>8
[5,6,7,8,9,10,2,3,1,4]=>010000001=>9
[4,5,6,7,8,1,9,2,3]=>00000011=>8
[4,5,6,7,8,9,10,2,1,3]=>100000001=>9
[6,8,3,4,5,2,1,7]=>1001001=>7
[3,7,1,4,5,6,2,8]=>0000110=>7
[7,9,3,4,5,6,2,1,8]=>10001001=>8
[3,9,2,1,5,6,7,8,4]=>10000011=>8
[3,6,1,4,5,2,7,8]=>0001100=>7
[3,8,1,4,5,6,7,2,9]=>00000110=>8
[8,10,3,4,5,6,7,2,1,9]=>100001001=>9
[6,9,3,4,5,2,7,1,8]=>00010101=>8
[3,8,2,4,5,1,7,6]=>0001011=>7
[3,9,2,4,1,6,7,8,5]=>00100011=>8
[3,7,2,1,5,6,4,8]=>1000110=>7
[3,6,8,1,5,4,7,2]=>0001011=>7
[3,8,9,1,5,6,7,4,2]=>00100101=>8
[3,10,2,1,5,6,7,8,9,4]=>100000011=>9
[3,7,1,4,5,6,2,8,9]=>00001100=>8
[3,9,1,4,5,6,7,8,2,10]=>000000110=>9
[1,7,4,6,3,5,2,8]=>0001110=>7
[1,3,6,5,7,2,4,8]=>0000110=>7
[1,7,2,5,6,4,3,8]=>0010110=>7
[1,6,8,5,4,3,7,2]=>0011011=>7
[2,5,7,8,4,3,1,6]=>0110001=>7
[6,8,5,3,2,4,1,7]=>0111001=>7
[1,6,8,5,3,2,7,4]=>0101011=>7
[4,6,1,8,7,5,3,2]=>0101111=>7
[1,3,7,6,8,5,2,4]=>0001011=>7
[4,1,7,8,6,5,2,3]=>0011101=>7
[5,4,3,7,6,1,2,8]=>0011110=>7
[4,7,6,1,2,3,8,5]=>0000111=>7
[4,5,2,6,7,8,1,3]=>0001001=>7
[2,8,7,6,5,4,3,1,9]=>01111110=>8
[2,1,4,9,8,7,6,5,3]=>10011111=>8
[3,7,6,5,4,2,1,9,8]=>10111101=>8
[3,2,1,6,9,8,7,5,4]=>11010111=>8
[4,6,5,3,2,1,9,8,7]=>11011011=>8
[1,7,6,2,3,8,5,4]=>0001111=>7
[4,5,1,3,7,6,2,8]=>0001110=>7
[7,2,3,8,6,4,5,1]=>0001111=>7
[1,5,4,3,8,6,2,7]=>0011101=>7
[1,3,7,5,8,4,6,2]=>0000111=>7
[7,8,1,5,3,4,6,2]=>0001101=>7
[7,3,5,4,1,6,2,8]=>0011110=>7
[3,5,7,1,6,4,2,8]=>0010110=>7
[3,7,5,6,1,4,2,8]=>0010110=>7
[1,7,5,6,3,4,8,2]=>0000111=>7
[5,3,1,2,7,8,4,6]=>0101001=>7
[5,1,3,7,8,2,6,4]=>0001101=>7
[5,8,1,2,7,6,4,3]=>0010111=>7
[1,6,7,4,5,3,2,8]=>0101010=>7
[1,4,2,6,7,5,3,8]=>0011010=>7
[1,8,2,4,6,5,3,7]=>0001101=>7
[7,2,1,6,4,3,8,5]=>1010111=>7
[1,4,8,7,2,3,6,5]=>0000111=>7
[4,1,3,6,5,8,2,7]=>0010101=>7
[4,3,7,1,5,8,2,6]=>0010011=>7
[1,8,6,5,2,7,4,3]=>0011111=>7
[1,8,6,2,7,4,3,5]=>0010111=>7
[7,2,6,4,1,8,5,3]=>0011111=>7
[6,4,1,8,3,7,5,2]=>0011111=>7
[4,5,8,7,3,6,2,1]=>1000111=>7
[3,5,4,1,7,8,6,2]=>0011101=>7
[2,9,8,7,6,1,5,4,3]=>00111111=>8
[6,8,7,2,1,5,4,3]=>1011011=>7
[4,9,8,7,6,5,2,1,3]=>10011111=>8
[5,9,8,7,6,2,1,4,3]=>10101111=>8
[2,10,9,8,7,6,1,5,4,3]=>001111111=>9
[6,9,8,7,2,1,5,4,3]=>10110111=>8
[7,9,8,2,1,6,5,4,3]=>10111011=>4
[2,10,9,8,1,7,6,5,4,3]=>001111111=>9
[8,9,2,1,7,6,5,4,3]=>10111101=>8
[2,10,9,1,8,7,6,5,4,3]=>001111111=>9
[8,1,6,3,7,5,4,2]=>0011111=>7
[8,5,1,3,7,6,4,2]=>0011111=>7
[8,3,6,5,4,2,1,7]=>1011101=>7
[6,1,3,5,7,2,8,4]=>0000111=>7
[2,8,1,5,6,4,3,7]=>0010101=>7
[1,6,7,5,8,4,2,3]=>0010011=>7
[7,4,1,6,5,2,8,3]=>0011111=>7
[7,4,2,8,6,5,3,1]=>0111111=>7
[6,8,4,7,3,2,5,1]=>0101011=>7
[5,8,7,3,2,1,6,4]=>1100111=>7
[5,8,7,2,6,4,3,1]=>0110111=>7
[6,8,7,3,5,1,4,2]=>0011011=>7
[7,2,5,6,8,3,4,1]=>0010011=>7
[1,6,5,7,8,3,2,4]=>0100101=>7
[8,6,7,2,3,5,4,1]=>0011011=>7
[5,4,8,6,7,3,1,2]=>0101011=>7
[4,2,7,3,1,6,8,5]=>0110011=>7
[7,3,6,4,2,1,8,5]=>1010111=>7
[4,8,5,2,7,3,1,6]=>0101011=>7
[6,4,3,1,8,5,2,7]=>0111101=>7
[7,4,3,1,5,8,6,2]=>0110111=>7
[7,4,8,6,5,3,1,2]=>0101111=>7
[4,8,5,2,6,7,3,1]=>0101011=>7
[7,3,2,1,8,5,6,4]=>1100111=>7
[7,8,1,9,2,3,4,5,6]=>00000011=>8
[6,7,8,1,9,2,3,4,5]=>00000011=>8
[5,6,7,8,1,9,2,3,4]=>00000011=>8
[9,1,2,3,4,5,7,6,8]=>00000101=>8
[2,1,3,4,5,9,6,7,8]=>10000001=>8
[1,5,7,2,4,3,8,6]=>0010011=>7
[1,2,7,5,8,4,3,6]=>0010011=>7
[5,1,3,8,2,7,4,6]=>0001011=>7
[5,7,1,3,2,8,4,6]=>0100011=>7
[7,1,6,3,2,8,4,5]=>0100111=>7
[8,1,7,2,3,6,5,4]=>0001111=>7
[7,1,2,6,4,3,8,5]=>0010111=>7
[1,4,7,8,3,2,5,6]=>0100001=>7
[8,7,1,3,2,4,6,5]=>0100111=>7
[8,1,6,3,2,4,7,5]=>0100111=>7
[1,8,2,7,6,3,5,4]=>0001111=>7
[8,1,6,3,2,7,4,5]=>0100111=>7
[8,2,1,7,6,3,4,5]=>1000111=>7
[6,8,4,3,5,1,2,7]=>0011001=>7
[8,7,3,5,4,1,2,6]=>0011011=>7
[6,3,8,5,7,2,1,4]=>1000111=>7
[8,7,3,6,4,1,2,5]=>0010111=>7
[5,2,7,4,6,1,3,8]=>0001110=>7
[8,7,2,3,5,1,4,6]=>0001011=>7
[7,6,3,4,1,8,2,5]=>0010111=>7
[6,3,5,2,8,1,4,7]=>0001101=>7
[6,4,5,3,1,7,2,8]=>0101110=>7
[8,7,2,4,3,1,5,6]=>0110011=>7
[7,6,2,3,1,4,8,5]=>0100111=>7
[4,7,6,2,3,1,5,8]=>0100110=>7
[4,7,6,1,3,2,8,5]=>0100111=>7
[7,2,6,5,4,3,1,9,8]=>01111101=>8
[3,2,1,9,5,8,7,6,4]=>11001111=>8
[6,3,5,4,2,1,9,8,7]=>10111011=>4
[4,3,2,1,9,7,8,6,5]=>11101011=>8
[2,8,1,3,5,6,4,7]=>0000101=>7
[2,6,3,4,7,8,5,1]=>0001101=>7
[7,6,3,1,8,5,2,4]=>0101111=>7
[7,2,1,3,6,8,5,4]=>1001011=>7
[7,6,3,8,1,5,2,4]=>0001111=>7
[1,6,4,7,8,5,3,2]=>0101101=>7
[7,2,5,8,6,1,3,4]=>0000111=>7
[4,1,3,6,2,5,8,7]=>0010101=>7
[7,1,4,6,3,2,5,8]=>0100110=>7
[7,4,5,8,6,2,3,1]=>0100111=>7
[6,7,2,3,8,4,1,5]=>0010011=>7
[2,7,8,1,5,4,3,6]=>0011001=>7
[1,5,2,6,8,7,4,3]=>0011011=>7
[1,2,3,4,5,6,8,9,7,10]=>000000010=>9
[1,8,3,7,5,2,6,4]=>0001111=>7
[8,1,3,6,5,2,7,4]=>0001111=>7
[7,1,3,8,5,2,6,4]=>0001111=>7
[4,7,1,5,2,6,8,3]=>0001011=>7
[7,4,1,5,2,6,8,3]=>0011011=>7
[3,1,6,7,5,2,8,4]=>0101011=>7
[8,6,2,4,5,1,7,3]=>0001111=>7
[8,6,7,5,2,1,4,3]=>1011011=>7
[7,1,4,5,2,6,8,3]=>0001011=>7
[4,1,6,2,3,8,7,5]=>0010111=>7
[4,1,7,6,5,2,8,3]=>0011111=>7
[8,4,1,5,6,2,7,3]=>0010111=>7
[8,4,5,3,6,1,7,2]=>0001111=>7
[2,8,4,7,3,5,6,1]=>0000111=>7
[1,5,4,8,3,2,6,7]=>0101001=>7
[1,5,7,6,3,8,2,4]=>0000111=>7
[2,6,3,1,7,8,4,5]=>0100101=>7
[2,1,7,8,3,5,4,6]=>1001001=>7
[1,5,8,6,7,4,2,3]=>0010011=>7
[8,7,1,3,5,2,6,4]=>0001111=>7
[3,7,8,2,5,4,1,6]=>0011001=>7
[4,7,6,5,8,1,3,2]=>0100111=>7
[4,7,8,6,2,1,5,3]=>1001101=>7
[4,8,6,3,2,1,7,5]=>1100111=>7
[5,1,4,7,6,8,3,2]=>0101011=>7
[5,6,4,7,1,8,3,2]=>0100111=>7
[5,3,7,4,6,1,8,2]=>0001111=>7
[4,1,5,7,8,6,3,2]=>0110101=>7
[3,6,7,1,5,4,8,2]=>0001011=>7
[3,6,4,7,5,8,2,1]=>1000111=>7
[9,1,2,3,4,8,6,5,7]=>00001011=>8
[9,1,2,3,8,5,6,4,7]=>00001011=>8
[8,1,2,9,4,5,6,3,7]=>00001011=>8
[9,1,8,3,4,5,6,2,7]=>00001011=>8
[7,1,2,3,4,9,5,8,6]=>00000111=>8
[10,1,2,3,4,5,9,7,6,8]=>000001011=>9
[6,1,2,3,8,4,5,9,7]=>00001011=>8
[10,1,2,3,4,9,6,7,5,8]=>000001011=>9
[5,1,2,8,3,4,6,9,7]=>00010011=>8
[9,1,2,3,10,5,6,7,4,8]=>000001011=>9
[4,1,9,2,3,5,6,8,7]=>00100011=>8
[10,1,2,9,4,5,6,7,3,8]=>000001011=>9
[3,8,1,2,4,5,6,9,7]=>00000011=>8
[10,1,9,3,4,5,6,7,2,8]=>000001011=>9
[8,2,1,3,4,5,6,9,7]=>10000011=>8
[8,1,2,3,4,5,10,6,9,7]=>000000111=>9
[11,1,2,3,4,5,6,10,8,7,9]=>0000001011=>10
[9,1,2,3,8,5,4,7,6]=>00010111=>8
[7,1,2,3,4,9,5,6,10,8]=>000001011=>9
[11,1,2,3,4,5,10,7,8,6,9]=>0000001011=>10
[6,1,2,3,9,4,7,8,5]=>00001011=>8
[6,1,2,3,9,4,5,7,10,8]=>000010011=>9
[10,1,2,3,4,11,6,7,8,5,9]=>0000001011=>10
[5,1,2,8,3,6,4,9,7]=>00011011=>8
[5,1,2,10,3,4,6,7,9,8]=>000100011=>9
[11,1,2,3,10,5,6,7,8,4,9]=>0000001011=>10
[9,8,2,1,4,5,6,7,3]=>10000111=>8
[8,1,7,3,2,4,5,6]=>0100011=>7
[4,1,8,2,5,3,6,9,7]=>00110011=>4
[4,1,9,2,3,5,6,7,10,8]=>001000011=>9
[11,1,2,10,4,5,6,7,8,3,9]=>0000001011=>10
[3,9,1,4,2,5,6,8,7]=>00100011=>8
[3,9,1,2,4,5,6,7,10,8]=>000000011=>9
[10,1,11,3,4,5,6,7,8,2,9]=>0000001011=>10
[8,2,3,1,4,5,6,9,7]=>01000011=>8
[10,2,1,3,4,5,6,7,9,8]=>100000011=>9
[11,10,2,3,4,5,6,7,8,1,9]=>0000001011=>10
[6,4,7,1,5,2,8,3]=>0001111=>7
[4,8,1,3,5,2,7,6]=>0001011=>7
[1,6,5,2,8,7,4,3]=>0011111=>7
[2,3,4,5,7,8,1,9,6]=>00000011=>8
[1,3,4,5,2,6,7,8,9]=>00010000=>8
[1,2,3,4,5,7,8,6,9,10]=>000000100=>9
[2,3,4,5,7,9,1,6,8]=>00000001=>8
[1,2,3,4,5,7,8,9,6,10]=>000000010=>9
[2,3,4,5,1,6,7,9,8]=>00010001=>4
[4,5,6,1,7,8,9,2,3]=>00001001=>8
[2,1,4,5,3,6,7,8,9]=>10010000=>8
[2,4,5,6,1,7,8,9,10,3]=>000010001=>9
[1,3,2,5,4,6,7,8,9]=>01010000=>8
[2,3,5,6,1,7,8,9,10,4]=>000010001=>9
[4,1,7,2,5,8,3,6]=>0010011=>7
[3,2,5,8,6,1,7,4]=>0100111=>7
[4,5,1,7,2,8,6,3]=>0001111=>7
[2,8,5,3,6,7,4,1]=>0011011=>7
[2,3,4,5,9,8,6,7,1]=>00000111=>8
[2,3,4,9,7,5,8,6,1]=>00001111=>8
[2,3,9,6,4,7,8,5,1]=>00011011=>8
[8,3,5,2,6,7,4,1]=>0011011=>7
[2,8,6,3,4,7,5,1]=>0001111=>7
[2,9,5,3,6,7,8,4,1]=>00110011=>4
[9,4,2,5,6,7,8,3,1]=>01100011=>8
[4,7,1,8,5,3,6,2]=>0001111=>7
[6,4,7,2,5,3,1,8]=>0101110=>7
[7,1,4,3,6,8,2,5]=>0010011=>7
[6,3,1,5,4,8,7,2]=>0101111=>7
[4,1,6,2,8,3,5,7,9]=>00101010=>8
[4,1,6,2,8,3,9,5,7]=>00101011=>8
[4,1,6,2,7,3,8,5,9]=>00101110=>8
[7,1,3,8,5,4,2,6]=>0011011=>7
[4,8,7,3,5,1,6,2]=>0001111=>7
[5,3,8,7,1,6,2,4]=>0001111=>7
[3,4,1,6,2,8,7,5]=>0010111=>7
[5,2,6,7,4,3,1,8]=>0111010=>7
[8,5,1,6,4,3,2,7]=>0111101=>7
[8,6,3,5,2,7,1,4]=>0001111=>7
[8,4,6,2,1,5,7,3]=>1000111=>7
[8,5,2,1,6,4,7,3]=>1001111=>7
[1,7,2,8,5,4,6,3]=>0001111=>7
[6,7,1,4,8,5,3,2]=>0101011=>7
[7,3,2,8,5,1,4,6]=>0101011=>7
[4,1,7,3,2,8,5,6]=>0110011=>7
[8,3,5,2,4,7,1,6]=>0001011=>7
[4,3,7,8,6,1,5,2]=>0011101=>7
[1,2,6,3,7,8,5,4]=>0001101=>7
[6,1,3,7,8,5,4,2]=>0011101=>7
[8,7,9,1,4,5,6,2,3]=>00001011=>8
[7,6,9,1,4,5,2,8,3]=>00010111=>8
[9,8,10,1,4,5,6,7,2,3]=>000001011=>9
[2,6,4,7,5,3,1,8]=>0101110=>7
[5,6,3,7,2,8,4,1]=>0010111=>7
[4,5,1,8,6,2,7,3]=>0001111=>7
[5,6,1,8,7,2,3,4]=>0000111=>7
[4,5,1,6,8,7,3,2]=>0101011=>7
[3,9,2,4,5,6,7,8,1]=>00000011=>8
[3,8,6,1,5,2,4,7]=>0001101=>7
[3,2,8,1,5,6,4,7]=>0100101=>7
[5,8,7,3,2,1,4,6]=>1100011=>7
[3,4,7,6,8,2,1,5]=>1000011=>7
[2,8,1,3,7,5,6,4]=>0000111=>7
[1,8,7,2,5,6,4,3]=>0010111=>7
[3,4,7,1,5,8,2,6]=>0000011=>7
[4,2,7,1,5,8,3,6]=>0010011=>7
[1,3,5,2,4,6,7,8,9]=>00010000=>8
[4,1,2,3,5,6,8,7,9]=>00100010=>4
[1,2,4,7,3,5,6,8,9]=>00000100=>8
[5,1,2,3,4,7,6,8,9]=>00010100=>8
[2,4,6,3,5,1,7,8]=>0001100=>7
[4,1,6,2,5,8,3,7]=>0010101=>7
[1,8,2,5,7,3,4,6]=>0000011=>7
[1,4,6,3,8,5,2,7]=>0001101=>7
[4,5,6,3,1,7,2,8]=>0100110=>7
[3,4,6,2,5,1,7,8]=>0001100=>7
[1,4,7,5,2,3,6,8]=>0001010=>7
[1,4,6,5,8,2,3,7]=>0000101=>7
[1,4,8,3,7,6,2,5]=>0000111=>7
[1,4,5,3,7,2,6,8]=>0001010=>7
[2,5,7,6,8,3,4,1]=>0010011=>7
[3,1,6,7,2,8,5,4]=>0101011=>7
[1,5,3,6,8,4,7,2]=>0001011=>7
[6,5,1,3,8,4,7,2]=>0001111=>7
[1,7,4,8,5,3,2,6]=>0101011=>7
[7,3,1,6,8,4,5,2]=>0101011=>7
[8,5,1,4,6,7,3,2]=>0101011=>7
[3,4,7,5,6,8,2,1]=>1000011=>7
[3,4,7,8,5,2,6,1]=>0001101=>7
[7,4,2,3,6,5,1,8]=>0011110=>7
[7,2,4,3,1,5,6,8]=>0110010=>7
[6,3,1,4,8,5,7,2]=>0100111=>7
[6,3,5,4,8,7,1,2]=>0001111=>7
[2,6,4,3,1,7,5,8]=>0110110=>7
[4,8,1,7,5,6,3,2]=>0100111=>7
[1,5,7,2,8,4,6,3]=>0000111=>7
[5,8,7,2,3,6,4,1]=>0010111=>7
[4,6,5,1,2,3,7,8]=>0001100=>7
[1,8,7,5,2,6,3,4]=>0001111=>7
[1,7,6,3,4,5,8,2]=>0000111=>7
[1,8,7,4,5,6,2,3]=>0000111=>7
[1,8,7,3,6,4,2,5]=>0010111=>7
[1,4,7,5,8,2,6,3]=>0000111=>7
[1,4,7,2,3,6,5,8]=>0000110=>7
[1,7,2,5,6,3,4,8]=>0000110=>7
[1,2,6,5,8,3,4,7]=>0000101=>7
[1,5,8,2,6,3,4,7]=>0000101=>7
[6,8,3,2,7,5,1,4]=>0101011=>7
[7,3,6,8,1,2,5,4]=>0001011=>7
[4,1,5,7,2,6,3,8]=>0010110=>7
[5,7,2,1,3,6,4,8]=>1000110=>7
[10,11,8,1,2,3,4,5,6,7,9]=>0000001001=>10
[7,1,10,9,2,3,4,5,6,8]=>000001011=>9
[6,7,9,1,2,3,4,5,10,8]=>000000011=>9
[2,8,1,9,10,3,4,5,6,7]=>000000101=>9
[8,7,1,10,2,3,4,5,6,9]=>000001101=>9
[3,5,6,7,2,4,1,8]=>0010010=>7
[6,4,7,5,2,3,1,8]=>0101110=>7
[1,5,6,4,8,3,2,7]=>0100101=>7
[2,1,5,6,4,8,3,7]=>1000101=>7
[5,1,4,7,8,6,2,3]=>0001101=>7
[1,6,7,2,8,5,4,3]=>0011011=>7
[5,3,2,1,7,8,6,4]=>1101101=>7
[7,4,3,8,6,1,5,2]=>0011111=>7
[4,3,7,1,5,8,6,2]=>0010111=>7
[8,2,4,5,3,1,7,6]=>0101011=>7
[1,4,3,2,7,5,8,6]=>0110011=>7
[1,5,2,8,6,3,10,9,7,4]=>000111111=>9
[4,1,5,2,8,6,3,10,9,7]=>001110111=>9
[1,7,5,2,8,6,3,10,9,4]=>000111111=>9
[4,1,7,5,2,8,3,10,9,6]=>001101111=>9
[6,4,1,7,5,2,8,3,10,9]=>001111101=>9
[3,4,1,7,2,8,5,10,9,6]=>001001111=>9
[3,6,4,1,7,2,8,5,10,9]=>001011101=>9
[1,5,2,9,8,6,3,10,7,4]=>000111111=>9
[4,1,5,2,9,8,6,3,10,7]=>001110111=>9
[1,7,5,2,9,6,3,10,8,4]=>000111111=>9
[4,1,7,5,2,9,3,10,8,6]=>001101111=>9
[4,1,9,6,5,2,7,3,10,8]=>001111011=>9
[3,4,1,7,2,9,5,10,8,6]=>001001111=>9
[3,6,1,9,4,2,7,5,10,8]=>001011011=>9
[1,8,7,5,2,9,6,3,10,4]=>000111111=>9
[4,1,8,7,5,2,9,3,10,6]=>001101111=>9
[6,4,1,8,5,2,9,3,10,7]=>001110111=>9
[7,6,4,1,8,5,2,9,3,10]=>001111110=>9
[3,4,1,8,7,2,9,5,10,6]=>001001111=>9
[3,6,4,1,8,2,9,5,10,7]=>001010111=>9
[3,7,6,4,1,8,2,9,5,10]=>001011110=>9
[1,9,6,5,2,7,3,10,8,4]=>000111111=>9
[6,1,9,4,2,7,3,10,8,5]=>001011111=>9
[5,4,1,9,6,2,7,3,10,8]=>001111011=>9
[9,3,1,6,2,7,4,10,8,5]=>010011111=>9
[9,5,3,1,6,2,7,4,10,8]=>010111011=>9
[6,1,8,5,2,9,7,3,10,4]=>000111111=>9
[6,4,1,8,2,9,7,3,10,5]=>001011111=>9
[8,5,4,1,6,2,9,3,10,7]=>001110111=>9
[5,7,4,1,8,6,2,9,3,10]=>001011110=>9
[3,6,1,8,2,9,7,4,10,5]=>000011111=>9
[5,8,3,1,6,2,9,4,10,7]=>010010111=>9
[5,3,7,1,8,6,2,9,4,10]=>000111110=>9
[4,3,8,1,9,5,2,6,10,7]=>001100111=>9
[7,4,3,5,1,8,2,9,6,10]=>001101110=>9
[9,6,2,1,3,7,4,10,8,5]=>100011111=>9
[5,9,2,1,6,3,7,4,10,8]=>100011011=>9
[6,8,2,1,3,9,7,4,10,5]=>100001111=>9
[8,2,5,1,6,3,9,4,10,7]=>000110111=>9
[2,5,7,1,8,6,3,9,4,10]=>000011110=>9
[2,4,8,1,9,5,3,6,10,7]=>000100111=>9
[4,8,7,2,6,1,3,5]=>0000111=>7
[4,5,8,2,1,7,3,6]=>1000011=>7
[6,8,4,1,7,3,2,5]=>0110011=>7
[5,6,4,3,2,1,7,8,9]=>11101000=>8
[5,6,4,3,2,1,7,8,9,10]=>111010000=>9
[4,5,3,2,1,6,7,8,9]=>11010000=>8
[6,7,5,4,3,2,1,8,9,10]=>111101000=>9
[6,7,4,3,2,1,5,8,9]=>11100100=>8
[5,6,4,3,2,7,1,8,9]=>01101100=>8
[7,5,4,3,1,2,6,8,9]=>01110100=>8
[6,5,4,3,7,1,2,8,9]=>00111100=>8
[6,7,9,8,5,4,3,2,1]=>11110011=>8
[7,6,8,9,5,4,3,2,1]=>11110101=>8
[7,8,10,9,6,5,4,3,2,1]=>111110011=>9
[6,7,5,9,8,4,3,2,1]=>11100111=>8
[5,7,9,8,6,4,3,2,1]=>11101011=>8
[7,6,8,5,9,4,3,2,1]=>11100111=>8
[6,5,8,9,7,4,3,2,1]=>11101101=>8
[8,7,9,10,6,5,4,3,2,1]=>111110101=>9
[6,3,1,8,2,7,5,4]=>0101111=>7
[6,4,1,3,2,5,7,8]=>0110100=>7
[4,1,7,8,3,2,5,6]=>0110001=>7
[5,4,7,1,3,6,2,8]=>0001110=>7
[7,6,2,8,4,5,3,1]=>0101111=>7
[5,8,2,1,3,6,4,7]=>1000101=>7
[7,6,4,3,5,2,1,9,8]=>10111101=>8
[7,6,3,5,4,2,1,9,8]=>10111101=>8
[8,5,1,7,3,4,6,2]=>0001111=>7
[5,7,6,3,4,1,8,2]=>0010111=>7
[7,8,9,10,1,5,6,3,4,2]=>001010001=>9
[1,8,3,5,2,6,4,7]=>0001101=>7
[3,4,6,1,8,5,7,2]=>0000111=>7
[2,3,8,7,4,5,1,6]=>0001011=>7
[1,8,3,5,7,4,2,6]=>0010011=>7
[2,5,8,4,6,7,1,3]=>0000011=>7
[9,8,6,1,2,3,4,5,7]=>00001011=>8
[9,8,7,5,1,2,3,4,6]=>00010111=>8
[9,8,7,6,4,1,2,3,5]=>00101111=>8
[9,8,7,6,5,3,1,2,4]=>01011111=>8
[7,1,2,6,4,3,5,8]=>0010110=>7
[7,1,2,6,5,3,4,8]=>0001110=>7
[4,7,8,6,2,3,5,1]=>0001101=>7
[7,1,2,4,8,6,5,3]=>0001111=>7
[2,7,5,6,4,8,1,3]=>0000111=>7
[2,8,3,6,5,7,1,4]=>0000111=>7
[9,8,4,7,6,5,3,2,1]=>11011111=>8
[9,8,3,7,6,5,4,2,1]=>10111111=>8
[9,3,8,7,6,5,4,2,1]=>10111111=>8
[9,2,8,7,6,5,4,3,1]=>01111111=>8
[10,9,8,5,7,6,4,3,2,1]=>111011111=>9
[9,8,4,6,5,7,3,2,1]=>11001111=>8
[10,9,8,4,7,6,5,3,2,1]=>110111111=>9
[9,8,3,6,5,4,7,2,1]=>10011111=>8
[10,9,4,8,7,6,5,3,2,1]=>110111111=>9
[9,3,7,6,5,4,8,2,1]=>10011111=>8
[9,2,7,6,5,4,3,8,1]=>00111111=>8
[10,3,9,8,7,6,5,4,2,1]=>101111111=>9
[10,2,9,8,7,6,5,4,3,1]=>011111111=>9
[7,4,3,1,6,5,2,8]=>0111110=>7
[3,5,1,2,6,8,7,4]=>0001011=>7
[3,1,2,4,8,7,5,6]=>0100011=>7
[5,4,1,2,3,7,8,6]=>0011001=>7
[1,6,7,2,5,8,3,4]=>0000011=>7
[7,8,5,6,2,4,3,1]=>0110101=>7
[5,3,8,6,2,4,1,7]=>0011101=>7
[2,7,4,6,3,8,1,5]=>0000111=>7
[5,4,7,8,6,2,1,3]=>1001101=>7
[2,7,4,8,3,1,5,6]=>0100011=>7
[8,2,1,3,7,4,6,5]=>1000111=>7
[6,5,8,2,3,4,7,1]=>0000111=>7
[7,8,2,3,6,4,5,1]=>0001101=>7
[8,2,4,1,3,7,5,6]=>0010011=>7
[4,2,6,7,5,1,8,3]=>0011011=>7
[4,7,2,5,3,8,1,6]=>0001011=>7
[3,5,7,4,2,8,1,6]=>0010011=>7
[2,4,7,6,3,8,1,5]=>0000111=>7
[4,6,8,5,1,2,3,7]=>0001001=>7
[4,6,5,7,1,2,3,8]=>0000110=>7
[4,6,5,7,1,3,8,2]=>0000111=>7
[3,4,7,6,1,8,2,5]=>0000111=>7
[8,5,2,1,6,3,4,7]=>1001101=>7
[7,1,8,5,3,2,4,6]=>0101011=>7
[9,10,2,1,6,4,3,5,7,8]=>101010001=>9
[7,10,2,1,8,4,3,5,6,9]=>101000101=>9
[2,9,1,10,7,4,3,5,6,8]=>001001011=>9
[2,8,1,9,4,3,10,5,6,7]=>001000111=>9
[10,8,5,2,1,6,3,4,7,9]=>100110101=>9
[9,5,2,1,10,6,3,4,7,8]=>100110011=>9
[10,7,2,1,8,5,3,4,6,9]=>100101101=>9
[9,2,1,10,7,5,3,4,6,8]=>100101011=>9
[2,8,1,9,3,10,5,4,6,7]=>000100111=>9
[10,6,2,1,7,3,8,4,5,9]=>100011101=>9
[9,2,1,10,6,3,7,4,5,8]=>100011011=>9
[8,2,1,9,3,10,6,4,5,7]=>100010111=>9
[7,2,1,8,3,9,4,10,5,6]=>100001111=>9
[10,8,6,3,1,4,2,5,7,9]=>011010101=>9
[3,9,1,10,6,4,2,5,7,8]=>001010011=>9
[10,7,3,1,8,4,2,5,6,9]=>011001101=>9
[9,3,1,10,7,4,2,5,6,8]=>011001011=>9
[8,3,1,9,4,2,10,5,6,7]=>011000111=>9
[10,8,5,1,6,3,2,4,7,9]=>010110101=>9
[9,5,1,10,6,3,2,4,7,8]=>010110011=>9
[10,7,1,8,5,3,2,4,6,9]=>010101101=>9
[9,1,10,7,5,3,2,4,6,8]=>010101011=>9
[8,3,1,9,2,10,5,4,6,7]=>010100111=>9
[10,6,1,7,3,2,8,4,5,9]=>010011101=>9
[9,1,10,6,3,2,7,4,5,8]=>010011011=>9
[8,1,9,3,2,10,6,4,5,7]=>010010111=>9
[7,1,8,3,2,9,4,10,5,6]=>010001111=>9
[10,8,4,1,5,2,6,3,7,9]=>001110101=>9
[9,4,1,10,5,2,6,3,7,8]=>001110011=>9
[10,7,1,8,4,2,5,3,6,9]=>001101101=>9
[9,1,10,7,4,2,5,3,6,8]=>001101011=>9
[8,1,9,4,2,10,5,3,6,7]=>001100111=>9
[10,6,1,7,2,8,4,3,5,9]=>001011101=>9
[9,1,10,6,2,7,4,3,5,8]=>001011011=>9
[8,1,9,2,10,6,4,3,5,7]=>001010111=>9
[7,1,8,2,9,4,3,10,5,6]=>001001111=>9
[10,5,1,6,2,7,3,8,4,9]=>000111101=>9
[9,1,10,5,2,6,3,7,4,8]=>000111011=>9
[8,1,9,2,10,5,3,6,4,7]=>000110111=>9
[7,1,8,2,9,3,10,5,4,6]=>000101111=>9
[8,6,1,3,2,7,5,4]=>0101111=>7
[8,1,7,5,2,4,6,3]=>0001111=>7
[8,2,7,5,4,1,6,3]=>0011111=>7
[8,6,1,2,7,3,5,4]=>0001111=>7
[4,2,8,5,7,1,6,3]=>0010111=>7
[6,8,7,4,5,3,2,1]=>1101011=>7
[5,2,6,7,4,8,3,1]=>0101011=>7
[6,5,8,1,7,3,2,4]=>0100111=>7
[6,4,8,1,5,2,3,7]=>0001101=>7
[7,2,4,1,6,3,5,8]=>0010110=>7
[4,2,1,3,6,5,8,7,9]=>10101010=>2
[4,2,1,3,6,5,8,7,10,9]=>101010101=>9
[6,2,1,4,3,5,8,7,9]=>10101010=>2
[2,6,1,5,3,4,8,7]=>0001101=>7
[3,8,7,5,4,2,6,1]=>0011111=>7
[5,7,8,2,3,6,4,1]=>0010101=>7
[2,8,7,3,1,4,5,6]=>0100011=>7
[5,6,1,2,4,7,8,3]=>0000101=>7
[10,2,3,1,4,5,6,7,8,9]=>010000001=>9
[9,2,3,4,1,5,6,7,8]=>00100001=>8
[9,8,4,5,7,6,3,2,1]=>11001111=>8
[9,8,5,4,6,7,3,2,1]=>11010111=>8
[10,9,8,6,5,7,4,3,2,1]=>111011111=>9
[10,9,8,4,5,7,6,3,2,1]=>110011111=>9
[9,8,4,5,3,7,6,2,1]=>10011111=>8
[9,8,3,5,7,6,4,2,1]=>10101111=>8
[9,8,5,4,6,3,7,2,1]=>10011111=>8
[9,8,4,3,6,7,5,2,1]=>10110111=>8
[10,9,8,5,4,6,7,3,2,1]=>110101111=>9
[3,8,6,7,5,4,2,1]=>1011011=>7
[7,8,5,1,4,6,2,3]=>0001101=>7
[8,2,7,5,4,6,1,3]=>0001111=>7
[8,4,7,6,3,1,2,5]=>0100111=>7
[4,6,7,1,3,2,8,5]=>0100011=>7
[6,4,7,5,3,2,8,1]=>0101111=>7
[8,4,6,3,1,5,7,2]=>0100111=>7
[7,3,1,4,5,6,8,2]=>0100011=>7
[6,7,3,4,2,1,8,5]=>1010011=>7
[6,4,8,3,1,5,7,2]=>0100111=>7
[7,4,2,3,5,1,8,6]=>0011011=>7
[3,1,6,5,2,4,8,7]=>0101101=>7
[2,5,3,8,6,4,1,7]=>0011101=>7
[5,8,4,1,3,2,7,6]=>0110011=>7
[5,3,4,7,6,1,8,2]=>0001111=>7
[4,5,2,1,6,3,8,7]=>1001101=>7
[4,5,2,1,6,7,3,8]=>1001010=>7
[5,3,8,6,2,4,7,1]=>0001111=>7
[2,5,1,6,4,3,8,7]=>0011101=>7
[3,6,2,8,5,7,1,4]=>0000111=>7
[4,6,8,1,5,7,2,3]=>0000011=>7
[4,1,2,5,7,6,3,8]=>0010110=>7
[4,6,5,8,1,7,3,2]=>0100111=>7
[2,1,3,6,4,8,7,5]=>1000111=>7
[4,8,1,2,7,5,6,3]=>0000111=>7
[1,6,4,3,8,7,5,2]=>0011111=>7
[4,5,1,6,8,7,2,3]=>0001011=>7
[3,4,7,2,5,8,6,1]=>0000111=>7
[2,5,1,8,6,4,7,3]=>0001111=>7
[2,5,8,7,3,1,4,6]=>0100011=>7
[9,8,7,4,3,2,1,5,6]=>11100111=>8
[9,8,7,6,3,2,1,4,5]=>11001111=>8
[3,8,7,2,6,1,4,5]=>0000111=>7
[8,4,5,1,6,7,2,3]=>0001011=>7
[8,4,7,3,1,5,2,6]=>0101011=>7
[2,5,1,8,3,6,4,7]=>0001101=>7
[5,8,4,7,3,2,1,6]=>1100011=>7
[5,6,8,4,2,7,1,3]=>0010011=>7
[4,3,8,6,1,2,5,7]=>0010101=>7
[4,8,6,5,7,1,3,2]=>0100111=>7
[7,2,3,5,6,8,4,1]=>0010011=>7
[5,8,1,3,4,7,2,6]=>0000011=>7
[8,3,4,2,7,6,1,5]=>0010111=>7
[8,7,5,6,4,1,3,2]=>0110111=>7
[8,7,4,2,3,6,5,1]=>0011111=>7
[8,4,2,3,7,6,5,1]=>0011111=>7
[7,2,4,5,3,1,6,8]=>0101010=>7
[7,6,3,1,4,5,8,2]=>0100111=>7
[3,7,4,6,2,1,8,5]=>1000111=>7
[5,4,1,7,8,6,2,3]=>0011101=>7
[5,3,4,7,8,1,6,2]=>0001101=>7
[4,3,7,6,5,1,8,2]=>0011111=>7
[5,1,4,8,2,3,7,6]=>0001011=>7
[3,2,8,5,4,1,6,7]=>0111001=>7
[7,8,9,1,3,4,5,6,2]=>00001001=>8
[6,1,2,9,3,4,5,7,8]=>00001001=>8
[4,1,2,3,5,9,6,7,8]=>00100001=>8
[3,1,2,4,5,6,9,7,8]=>01000001=>8
[1,2,8,3,4,6,5,7]=>0000101=>7
[8,1,2,7,3,5,4,6]=>0001011=>7
[5,7,1,2,6,3,4,8]=>0000110=>7
[1,2,7,5,6,3,4,8]=>0000110=>7
[5,1,4,7,2,3,6,8]=>0001010=>7
[4,8,1,2,3,6,5,7]=>0000101=>7
[1,3,4,2,5,6,7,8,9]=>00100000=>8
[1,2,4,5,6,3,7,8,9]=>00001000=>8
[1,2,3,5,6,7,8,4,9]=>00000010=>8
[2,1,5,3,6,7,4,8,9]=>10010100=>8
[1,3,5,6,4,2,7,8,9]=>00101000=>8
[3,5,2,1,6,4,7,8,9]=>10011000=>8
[2,1,3,6,4,7,8,9,5]=>10001001=>8
[1,3,4,6,7,2,8,5,9]=>00000110=>8
[3,2,6,1,4,7,8,5,9]=>01001010=>8
[2,4,6,1,7,5,3,8,9]=>00011100=>8
[4,6,3,2,1,7,5,8,9]=>11001100=>4
[2,4,1,7,5,8,3,9,6]=>00100111=>8
[4,3,7,2,1,5,8,9,6]=>10100101=>8
[1,3,5,7,8,6,4,2,9]=>00101010=>8
[3,5,7,2,1,8,6,4,9]=>10001110=>8
[5,7,4,3,2,1,8,6,9]=>11100110=>8
[2,4,6,8,1,9,7,5,3]=>00010111=>8
[4,6,8,3,2,1,9,7,5]=>11000111=>8
[6,8,5,4,3,2,1,9,7]=>11110011=>8
[1,3,4,2,5,6,7,8,9,10]=>001000000=>9
[1,2,4,5,6,3,7,8,9,10]=>000010000=>9
[1,2,3,5,6,7,8,4,9,10]=>000000100=>9
[2,1,5,3,6,7,4,8,9,10]=>100101000=>9
[1,3,5,6,4,2,7,8,9,10]=>001010000=>9
[3,5,2,1,6,4,7,8,9,10]=>100110000=>9
[2,1,3,6,4,7,8,9,5,10]=>100010010=>9
[1,3,4,6,7,2,8,5,9,10]=>000001100=>9
[3,2,6,1,4,7,8,5,9,10]=>010010100=>9
[2,4,6,1,7,5,3,8,9,10]=>000111000=>9
[4,6,3,2,1,7,5,8,9,10]=>110011000=>9
[1,3,4,2,7,8,5,9,10,6]=>001000101=>9
[3,2,1,7,4,5,8,9,10,6]=>110001001=>9
[1,2,4,5,7,8,9,6,3,10]=>000010010=>9
[4,3,7,2,1,5,8,9,6,10]=>101001010=>9
[1,3,5,7,8,6,4,2,9,10]=>001010100=>9
[3,5,7,2,1,8,6,4,9,10]=>100011100=>9
[5,7,4,3,2,1,8,6,9,10]=>111001100=>9
[2,1,5,3,8,6,9,10,7,4]=>100101101=>9
[1,3,5,6,8,9,4,2,10,7]=>001000011=>9
[3,5,2,8,1,6,9,4,10,7]=>000100111=>9
[5,4,8,3,2,1,6,9,10,7]=>110100101=>9
[2,4,6,8,1,9,7,5,3,10]=>000101110=>9
[4,6,8,3,2,1,9,7,5,10]=>110001110=>9
[6,8,5,4,3,2,1,9,7,10]=>111100110=>9
[3,5,7,9,2,1,10,8,6,4]=>100010111=>9
[5,7,9,4,3,2,1,10,8,6]=>111000111=>9
[7,9,6,5,4,3,2,1,10,8]=>111110011=>9
[6,2,3,8,7,1,4,5]=>0000111=>7
[8,2,3,6,4,7,5,1]=>0001111=>7
[7,2,3,6,4,8,1,5]=>0000111=>7
[4,5,6,3,7,2,8,1,9]=>00001110=>8
[1,5,6,7,4,8,3,9,2]=>00000111=>8
[4,5,1,3,2,6,8,7]=>0101001=>7
[6,4,7,5,1,3,2,8]=>0101110=>7
[5,3,1,6,2,7,8,4]=>0101101=>7
[6,7,2,4,1,8,3,5]=>0010011=>7
[5,1,6,3,2,7,8,4]=>0101101=>7
[5,2,1,6,4,7,3,8]=>1001110=>7
[5,4,1,6,2,7,8,3]=>0011101=>7
[6,7,2,5,4,1,3,8]=>0011010=>7
[7,1,3,5,4,2,8,6]=>0011011=>7
[7,6,8,2,4,5,3,1]=>0101011=>7
[4,2,8,6,5,1,3,7]=>0011101=>7
[3,8,5,4,7,1,2,6]=>0001011=>7
[1,4,8,3,6,2,7,5]=>0000111=>7
[6,3,2,4,8,7,1,5]=>0100111=>7
[8,3,2,7,4,1,5,6]=>0110011=>7
[7,3,2,6,5,8,1,4]=>0100111=>7
[3,6,2,5,7,4,8,1]=>0000111=>7
[2,7,1,5,8,6,4,3]=>0010111=>7
[7,2,4,1,6,8,5,3]=>0011011=>7
[6,4,7,2,3,8,5,1]=>0001111=>7
[6,1,8,5,7,4,2,3]=>0010111=>7
[7,1,4,3,6,5,8,2]=>0010111=>7
[7,1,5,6,3,4,8,2]=>0000111=>7
[6,1,8,5,4,7,3,2]=>0101111=>7
[7,6,1,5,4,2,8,3]=>0011111=>7
[5,1,6,8,7,2,4,3]=>0011011=>7
[4,6,7,5,3,1,8,2]=>0101011=>7
[5,3,2,6,8,7,4,1]=>0111011=>7
[5,4,6,2,8,7,3,1]=>0101111=>7
[4,5,8,6,7,2,3,1]=>0100011=>7
[4,5,7,6,1,2,8,3]=>0000111=>7
[4,6,5,7,2,1,8,3]=>1000111=>7
[2,3,7,5,6,1,10,9,4,8]=>000011011=>9
[2,3,4,10,6,9,8,5,1,7]=>000100111=>9
[2,3,6,5,9,10,8,4,1,7]=>001010101=>9
[2,3,9,5,8,7,4,1,10,6]=>001001111=>9
[2,5,4,9,6,10,8,3,1,7]=>010100111=>9
[2,5,4,8,9,7,3,1,10,6]=>010101011=>9
[2,3,4,10,6,7,1,9,8,5]=>000001111=>9
[2,3,7,5,6,1,10,9,8,4]=>000011111=>9
[2,3,4,10,6,8,9,1,7,5]=>000001011=>9
[2,3,6,5,8,10,9,1,7,4]=>000011011=>9
[2,3,8,5,7,9,1,10,6,4]=>000010111=>9
[2,5,4,8,6,10,9,1,7,3]=>000101111=>9
[2,5,4,7,8,9,1,10,6,3]=>000110011=>9
[2,3,4,10,6,9,8,7,5,1]=>000101111=>9
[2,3,6,5,9,10,8,7,4,1]=>001011101=>9
[2,3,7,5,9,8,10,6,4,1]=>001011011=>9
[2,3,9,5,8,7,6,4,1,10]=>001011110=>9
[2,5,4,9,6,10,8,7,3,1]=>010101111=>9
[2,5,4,9,7,8,10,6,3,1]=>010110011=>9
[2,5,4,8,9,7,6,3,1,10]=>010111010=>9
[2,3,4,10,7,9,8,1,6,5]=>000010111=>9
[2,3,5,7,10,9,8,1,6,4]=>000010111=>9
[2,3,8,6,9,7,1,10,5,4]=>000101111=>9
[2,4,7,5,10,9,8,1,6,3]=>000011111=>9
[2,4,6,8,9,7,1,10,5,3]=>000101011=>9
[2,3,4,10,7,8,9,6,5,1]=>000110011=>9
[2,3,5,7,10,8,9,6,4,1]=>001010011=>9
[2,3,7,6,8,9,10,5,4,1]=>001101001=>9
[2,3,9,6,7,8,5,4,1,10]=>001100110=>9
[2,4,7,5,10,8,9,6,3,1]=>010011011=>9
[2,4,6,7,8,9,10,5,3,1]=>010100001=>9
[2,4,6,9,7,8,5,3,1,10]=>010100110=>9
[2,6,5,8,9,7,10,4,3,1]=>011010011=>9
[2,6,5,7,8,9,4,3,1,10]=>011010010=>9
[3,7,4,5,10,9,8,1,6,2]=>000011111=>9
[3,6,4,8,9,7,1,10,5,2]=>000111011=>9
[3,7,4,5,10,8,9,6,2,1]=>100011011=>9
[3,6,4,7,8,9,10,5,2,1]=>100110001=>9
[3,6,4,9,7,8,5,2,1,10]=>100110110=>9
[3,5,6,8,9,7,10,4,2,1]=>101000011=>9
[3,5,6,7,8,9,4,2,1,10]=>101000010=>9
[7,4,8,6,3,5,1,2]=>0001111=>7
[2,3,4,7,8,6,1,5]=>0000101=>7
[6,3,7,1,4,2,8,5]=>0010111=>7
[4,3,2,7,6,5,1,9,8,10]=>011111010=>9
[4,3,2,1,7,6,9,8,5,10]=>111001110=>9
[4,3,2,7,6,1,9,8,5,10]=>011011110=>9
[4,3,2,7,6,9,8,5,1,10]=>011101110=>9
[4,3,7,6,2,1,9,8,5,10]=>101011110=>9
[4,3,7,6,2,9,8,5,1,10]=>001111110=>9
[4,3,2,1,7,6,5,9,10,8]=>111011001=>9
[4,3,2,7,6,5,1,9,10,8]=>011111001=>9
[4,3,2,1,7,6,9,5,10,8]=>111001011=>9
[4,3,2,7,6,1,9,5,10,8]=>011011011=>3
[4,3,2,7,6,9,5,1,10,8]=>011101011=>9
[4,3,7,6,2,1,9,5,10,8]=>101011011=>9
[4,3,7,6,2,9,5,1,10,8]=>001111011=>9
[4,3,2,1,7,6,9,10,8,5]=>111001101=>9
[4,3,2,7,6,1,9,10,8,5]=>011011101=>9
[4,3,2,7,6,9,1,10,8,5]=>011001111=>9
[4,3,2,7,6,9,10,8,5,1]=>011101101=>9
[4,3,7,6,2,1,9,10,8,5]=>101011101=>9
[4,3,7,6,2,9,1,10,8,5]=>001011111=>9
[4,3,7,6,2,9,10,8,5,1]=>001111101=>9
[4,3,2,1,7,9,6,5,10,8]=>111010011=>9
[4,3,2,7,1,9,6,5,10,8]=>011011011=>3
[4,3,2,7,9,6,5,1,10,8]=>011110011=>9
[4,3,7,2,1,9,6,5,10,8]=>101011011=>9
[4,3,7,2,9,6,5,1,10,8]=>001111011=>9
[4,3,2,1,7,9,6,10,8,5]=>111000111=>9
[4,3,2,7,1,9,6,10,8,5]=>011001111=>9
[4,3,2,7,9,6,1,10,8,5]=>011010111=>9
[4,3,2,7,9,6,10,8,5,1]=>011100111=>9
[4,3,7,2,1,9,6,10,8,5]=>101001111=>9
[4,3,7,2,9,6,1,10,8,5]=>001011111=>9
[4,3,7,2,9,6,10,8,5,1]=>001101111=>9
[4,3,7,9,6,2,1,10,8,5]=>101010111=>9
[4,3,7,9,6,2,10,8,5,1]=>001110111=>9
[4,7,3,2,1,9,6,5,10,8]=>110011011=>9
[4,7,3,2,9,6,5,1,10,8]=>010111011=>9
[4,7,3,2,1,9,6,10,8,5]=>110001111=>9
[4,7,3,2,9,6,1,10,8,5]=>010011111=>9
[4,7,3,2,9,6,10,8,5,1]=>010101111=>9
[4,7,3,9,6,2,1,10,8,5]=>100011111=>9
[4,6,3,5,1,8,2,7]=>0001101=>7
[8,5,7,6,2,3,4,1]=>0010111=>7
[3,5,6,7,8,9,2,4,1]=>00100001=>8
[3,4,6,7,8,2,5,1]=>0001001=>7
[2,4,6,7,8,9,1,3,5]=>00000001=>8
[2,5,6,7,3,8,1,4]=>0000011=>7
[2,5,6,7,8,9,3,1,4]=>01000001=>8
[5,8,4,6,2,1,7,3]=>1000111=>7
[2,4,7,5,8,6,3,1]=>0100111=>7
[1,6,8,3,4,2,7,5]=>0010011=>7
[4,1,7,6,2,8,3,5]=>0010111=>7
[4,1,8,2,7,5,3,6]=>0011011=>7
[4,1,7,2,8,5,3,6]=>0011011=>7
[2,5,6,3,7,4,8,1]=>0000111=>7
[2,6,5,3,8,4,7,1]=>0001111=>7
[2,6,5,3,7,4,8,1]=>0001111=>7
[7,1,6,3,5,4,8,2]=>0001111=>7
[5,7,3,2,8,4,1,6]=>0110011=>7
[2,8,6,1,7,5,3,4]=>0001111=>7
[8,1,5,2,7,4,3,6]=>0011011=>7
[7,1,4,2,8,5,3,6]=>0011011=>7
[2,6,8,1,7,5,3,4]=>0001011=>7
[1,4,6,5,3,8,2,7]=>0001101=>7
[2,4,5,8,7,1,3,6]=>0000011=>7
[3,1,6,8,7,5,4,2]=>0111011=>7
[3,1,8,7,5,6,4,2]=>0110111=>7
[5,1,8,7,6,3,4,2]=>0011111=>7
[8,2,7,5,3,6,4,1]=>0011111=>7
[8,7,2,3,1,5,6,4]=>0100111=>7
[2,8,5,7,6,1,3,4]=>0000111=>7
[1,8,7,2,6,4,5,3]=>0001111=>7
[8,7,2,1,6,4,5,3]=>1001111=>7
[1,8,4,7,6,2,5,3]=>0001111=>7
[8,7,1,6,4,3,5,2]=>0011111=>7
[8,4,1,7,3,6,5,2]=>0011111=>7
[5,4,6,3,8,1,7,2,9]=>00011110=>8
[1,6,5,7,4,9,2,8,3]=>00001111=>8
[5,6,4,7,3,9,1,8,2,10]=>000011110=>9
[5,4,8,1,7,2,6,3,9]=>00011110=>8
[5,4,8,1,6,3,7,2,9]=>00011110=>8
[1,6,5,9,2,8,3,7,4]=>00001111=>8
[1,6,5,9,2,7,4,8,3]=>00001111=>8
[1,6,7,5,8,4,10,2,9,3]=>000001111=>9
[8,3,6,2,1,5,4,7]=>1001101=>7
[4,5,6,7,8,9,1,10,2,3]=>000000011=>9
[2,5,6,7,8,1,9,3,4]=>00000011=>8
[4,5,6,7,1,2,8,3,9]=>00000110=>8
[1,3,6,7,8,9,2,4,5]=>00000001=>8
[3,5,6,7,8,1,2,9,4]=>00000011=>8
[3,2,5,4,7,6,8,10,9,1]=>010101011=>9
[3,2,5,4,6,9,7,8,10,1]=>010100011=>9
[3,2,5,4,6,8,7,10,9,1]=>010100111=>9
[3,2,5,4,6,7,10,8,9,1]=>010100011=>9
[3,2,4,7,5,6,9,8,10,1]=>010001011=>9
[3,2,4,7,5,6,8,10,9,1]=>010001011=>9
[3,2,4,6,5,9,7,8,10,1]=>010010011=>9
[3,2,4,6,5,8,7,10,9,1]=>010010111=>9
[3,2,4,6,5,7,10,8,9,1]=>010010011=>9
[3,2,4,5,9,6,7,8,10,1]=>010000011=>9
[3,2,4,5,8,6,7,10,9,1]=>010000111=>9
[3,2,4,5,7,6,10,8,9,1]=>010001011=>9
[3,2,4,5,6,10,7,8,9,1]=>010000011=>9
[2,5,3,4,7,6,9,8,10,1]=>000101011=>9
[2,5,3,4,7,6,8,10,9,1]=>000101011=>9
[2,5,3,4,6,9,7,8,10,1]=>000100011=>9
[2,5,3,4,6,8,7,10,9,1]=>000100111=>9
[2,5,3,4,6,7,10,8,9,1]=>000100011=>9
[2,4,3,7,5,6,9,8,10,1]=>001001011=>9
[2,4,3,7,5,6,8,10,9,1]=>001001011=>9
[2,4,3,6,5,9,7,8,10,1]=>001010011=>9
[2,4,3,6,5,7,10,8,9,1]=>001010011=>9
[2,4,3,5,9,6,7,8,10,1]=>001000011=>9
[2,4,3,5,8,6,7,10,9,1]=>001000111=>9
[2,4,3,5,7,6,10,8,9,1]=>001001011=>9
[2,4,3,5,6,10,7,8,9,1]=>001000011=>9
[2,3,7,4,5,6,9,8,10,1]=>000001011=>9
[2,3,7,4,5,6,8,10,9,1]=>000001011=>9
[2,3,6,4,5,9,7,8,10,1]=>000010011=>9
[2,3,6,4,5,8,7,10,9,1]=>000010111=>9
[2,3,6,4,5,7,10,8,9,1]=>000010011=>9
[2,3,5,4,9,6,7,8,10,1]=>000100011=>9
[2,3,5,4,8,6,7,10,9,1]=>000100111=>9
[2,3,5,4,7,6,10,8,9,1]=>000101011=>9
[2,3,5,4,6,10,7,8,9,1]=>000100011=>9
[2,3,4,9,5,6,7,8,10,1]=>000000011=>9
[2,3,4,8,5,6,7,10,9,1]=>000000111=>9
[2,3,4,7,5,6,10,8,9,1]=>000001011=>9
[2,3,4,6,5,10,7,8,9,1]=>000010011=>9
[1,7,3,6,8,2,5,4]=>0001011=>7
[4,5,1,8,7,3,6,2]=>0001111=>7
[3,8,5,2,6,7,4,1]=>0011011=>7
[4,3,8,5,2,6,1,7]=>0011101=>7
[3,6,4,7,5,2,1,8]=>1001110=>7
[5,7,4,1,2,6,8,3]=>0010011=>7
[2,8,6,7,5,3,1,4]=>0101011=>7
[7,4,5,2,6,3,1,8]=>0101110=>7
[8,6,3,4,5,1,7,2]=>0001111=>7
[8,6,3,5,4,1,7,2]=>0011111=>7
[8,7,4,5,1,3,6,2]=>0001111=>7
[8,6,2,5,3,1,4,7]=>0101101=>7
[8,4,7,3,1,2,5,6]=>0100011=>7
[8,7,3,5,1,6,4,2]=>0011111=>7
[4,8,3,2,6,1,7,5]=>0100111=>7
[4,3,7,6,1,5,2,8]=>0011110=>7
[7,5,4,3,6,1,8,2]=>0011111=>7
[4,6,8,5,3,1,2,7]=>0101001=>7
[5,6,8,4,3,7,2,1]=>1010011=>7
[7,5,8,4,2,1,6,3]=>1010111=>7
[1,4,8,7,6,2,5,3]=>0001111=>7
[7,2,4,1,5,3,8,6]=>0011011=>7
[8,5,3,4,1,7,2,6]=>0011011=>7
[2,8,5,4,3,6,1,7]=>0011101=>7
[8,6,5,3,1,2,7,4]=>0101111=>7
[7,4,6,5,3,2,8,1]=>0101111=>7
[5,6,7,2,3,8,4,1]=>0010011=>7
[8,4,2,6,5,7,3,1]=>0110111=>7
[1,7,4,2,8,5,6,3]=>0010111=>7
[3,2,1,7,4,6,8,5]=>1100011=>7
[6,2,5,7,1,4,3,8]=>0010110=>7
[4,8,5,3,1,2,6,7]=>0101001=>7
[8,5,2,4,6,1,3,7]=>0001101=>7
[1,5,3,4,7,2,6,8]=>0001010=>7
[8,4,6,1,5,7,3,2]=>0100111=>7
[6,4,7,2,1,3,8,5]=>1000111=>7
[6,7,3,1,2,4,8,5]=>0100011=>7
[3,1,8,7,6,2,5,4]=>0101111=>7
[1,3,8,6,7,2,5,4]=>0001011=>7
[5,2,3,6,1,8,4,7]=>0001101=>7
[3,2,6,4,7,1,5,8]=>0100110=>7
[3,6,2,5,7,8,4,1]=>0010101=>7
[2,7,4,6,8,3,5,1]=>0001011=>7
[3,7,6,8,1,5,4,2]=>0011011=>7
[1,5,7,6,8,4,2,3]=>0010011=>7
[2,7,4,6,8,5,3,1]=>0101011=>7
[3,7,6,8,5,1,4,2]=>0011011=>7
[7,1,3,8,6,2,4,5]=>0000111=>7
[2,7,1,8,6,5,3,4]=>0001111=>7
[2,3,4,5,7,6,8,9,1]=>00000101=>8
[2,3,4,5,7,8,6,9,1]=>00000011=>8
[2,3,4,5,8,7,6,9,1]=>00000111=>8
[2,3,4,5,7,9,8,6,1]=>00001011=>8
[4,5,6,3,7,8,9,2,1]=>10001001=>8
[3,4,5,6,2,7,8,9,10,1]=>000010001=>9
[2,4,5,6,3,7,8,9,10,1]=>000010001=>9
[2,3,5,6,4,7,8,9,10,1]=>000010001=>9
[8,1,5,2,6,4,7,3]=>0001111=>7
[4,6,7,5,1,2,3,8]=>0001010=>7
[5,3,4,7,6,2,1,8]=>1001110=>7
[7,4,5,3,8,1,6,2]=>0001111=>7
[7,3,6,1,4,2,8,5]=>0010111=>7
[8,7,2,6,4,5,1,3]=>0001111=>7
[1,2,3,4,7,9,5,6,8]=>00000001=>8
[1,2,3,4,6,7,9,5,8]=>00000001=>8
[1,2,3,4,8,5,6,9,7]=>00000011=>8
[1,2,3,4,7,8,5,9,6]=>00000011=>8
[2,6,4,8,3,5,1,7]=>0001101=>7
[1,4,8,5,3,2,7,6]=>0101011=>7
[3,5,8,4,6,7,1,2]=>0000011=>7
[1,2,4,8,5,7,3,6]=>0000011=>7
[7,3,4,1,8,2,5,6]=>0010011=>7
[5,6,3,1,8,2,4,7]=>0100101=>7
[7,3,6,5,1,8,4,2]=>0011111=>7
[5,7,2,1,4,8,6,3]=>1000111=>7
[7,6,3,5,2,1,8,4]=>1001111=>7
[7,1,4,6,8,5,3,2]=>0101011=>7
[7,2,5,1,6,4,8,3]=>0001111=>7
[2,7,1,5,6,4,8,3]=>0000111=>7
[1,5,7,8,4,6,3,2]=>0100101=>7
[1,4,8,5,7,6,3,2]=>0100111=>7
[2,8,1,5,6,4,7,3]=>0000111=>7
[3,7,2,8,1,5,6,4]=>0000111=>7
[7,3,2,5,1,6,8,4]=>0101011=>7
[8,7,2,1,3,6,5,4]=>1001111=>7
[7,3,2,8,1,4,6,5]=>0100111=>7
[3,6,2,1,8,4,7,5]=>1000111=>7
[4,6,5,3,1,8,7,2]=>0101111=>7
[4,5,2,6,7,3,8,1]=>0001011=>7
[9,3,10,1,2,4,5,6,7,8]=>000000011=>9
[10,3,1,9,2,4,5,6,7,8]=>010000011=>9
[3,1,4,10,2,5,6,7,8,9]=>010000001=>9
[8,6,7,4,3,1,5,2]=>0111011=>7
[4,7,1,8,5,3,2,6]=>0101011=>7
[8,6,7,1,4,3,5,2]=>0011011=>7
[8,6,7,2,1,3,5,4]=>1001011=>7
[8,5,6,1,7,4,2,3]=>0010111=>7
[6,4,1,2,5,7,8,3]=>0010101=>7
[6,1,5,4,2,7,3,8]=>0011110=>7
[6,4,2,3,1,7,5,8]=>0110110=>7
[3,4,6,1,8,2,7,5]=>0000111=>7
[5,3,1,4,7,6,2,8]=>0101110=>7
[6,4,5,2,7,1,3,8]=>0001110=>7
[7,4,3,5,1,6,2,8]=>0011110=>7
[7,5,3,6,2,1,4,8]=>1001110=>7
[6,4,3,7,1,8,2,5]=>0010111=>7
[3,1,2,7,6,4,5,8]=>0100110=>7
[5,1,2,7,6,3,4,8]=>0001110=>7
[5,6,1,7,2,4,3,8]=>0010110=>7
[3,5,6,8,1,2,7,4]=>0000011=>7
[2,6,5,7,1,3,4,8]=>0000110=>7
[2,3,7,1,5,6,4,8]=>0000110=>7
[2,6,5,3,4,1,7,8]=>0011100=>7
[2,6,1,3,5,4,7,8]=>0001100=>7
[4,6,1,5,2,8,7,3]=>0001111=>7
[6,1,5,4,2,7,8,3]=>0011101=>7
[4,6,1,5,2,7,8,3]=>0001101=>7
[2,8,6,5,1,3,7,4]=>0001111=>7
[5,1,8,6,2,7,4,3]=>0011111=>7
[3,6,8,2,7,5,1,4]=>0001011=>7
[5,6,4,1,7,2,8,3]=>0010111=>7
[3,8,6,1,5,7,4,2]=>0010111=>7
[8,1,6,3,4,2,5,7]=>0010101=>7
[7,4,2,3,1,6,8,5]=>0110011=>7
[6,4,2,3,7,8,1,5]=>0010101=>7
[4,3,6,2,5,8,1,7]=>0010101=>7
[9,8,10,7,6,5,4,3,1,2]=>011111011=>9
[8,7,9,6,5,4,2,1,3]=>10111011=>4
[8,9,7,6,5,4,2,1,3]=>10111101=>8
[8,9,7,6,5,4,2,3,1]=>01111101=>8
[8,9,1,2,3,4,5,6,10,11,7]=>0000000101=>10
[10,7,1,2,3,4,8,9,5,6]=>000001011=>9
[1,6,4,5,7,3,2,8]=>0100110=>7
[1,6,4,5,7,2,8,3]=>0000111=>7
[1,7,5,6,4,8,3,2]=>0100111=>7
[1,5,6,7,3,2,4,8]=>0100010=>7
[8,2,4,3,1,7,5,6]=>0110011=>7
[8,2,1,4,3,7,5,6]=>1010011=>7
[7,6,8,2,1,5,3,4]=>1001011=>7
[8,6,2,5,1,3,7,4]=>0001111=>7
[7,1,6,8,3,2,4,5]=>0100011=>7
[5,7,2,6,4,1,8,3]=>0010111=>7
[4,5,6,1,3,8,2,7]=>0000101=>7
[6,3,5,7,4,2,8,1]=>0010111=>7
[7,6,4,8,5,3,1,2]=>0101111=>7
[8,2,1,6,4,7,3,5]=>1000111=>7
[1,3,8,6,5,2,7,4]=>0001111=>7
[2,7,3,8,5,6,4,1]=>0010111=>7
[1,2,8,5,7,4,6,3]=>0000111=>7
[1,6,8,5,4,7,2,3]=>0001011=>7
[5,7,1,8,3,2,6,4]=>0100111=>7
[2,1,3,8,6,4,7,5]=>1000111=>7
[8,2,5,4,3,7,1,6]=>0011011=>7
[5,8,4,3,7,6,2,1]=>1010111=>7
[8,1,5,3,4,7,2,6]=>0001011=>7
[6,1,8,7,4,5,3,2]=>0101111=>7
[1,5,8,6,4,3,7,2]=>0010111=>7
[5,8,6,4,2,1,7,3]=>1010111=>7
[2,6,1,8,4,7,5,3]=>0001111=>7
[5,3,8,6,1,2,7,4]=>0001111=>7
[5,8,1,4,6,2,7,3]=>0000111=>7
[3,7,6,2,1,4,8,5]=>1000111=>7
[4,6,2,3,7,1,8,5]=>0000111=>7
[6,8,7,5,1,3,4,2]=>0011011=>7
[6,4,3,2,7,8,5,1]=>0111101=>7
[2,7,6,1,5,3,8,4]=>0001111=>7
[7,8,6,4,2,5,3,1]=>0111101=>7
[6,4,5,8,7,1,3,2]=>0100111=>7
[6,4,1,7,8,3,2,5]=>0110101=>7
[2,3,4,5,8,6,7,9,1]=>00000011=>8
[2,3,4,5,9,6,8,7,1]=>00000111=>8
[9,3,4,5,2,6,7,8,1]=>00010011=>8
[6,2,3,4,5,7,8,9,10,1]=>000010001=>9
[2,6,3,4,5,7,8,9,10,1]=>000010001=>9
[2,3,6,4,5,7,8,9,10,1]=>000010001=>9
[6,4,3,8,7,2,5,1]=>0011111=>7
[5,4,7,2,1,3,8,6]=>1001011=>7
[7,8,2,3,4,5,1,6,9]=>00010010=>8
[1,8,9,3,4,5,6,2,7]=>00001001=>8
[2,6,4,5,7,1,8,3]=>0000111=>7
[3,7,4,6,1,5,8,2]=>0000111=>7
[3,4,6,5,2,8,1,7]=>0001101=>7
[4,6,7,5,8,2,1,3]=>1000011=>7
[2,5,7,6,4,1,8,3]=>0010111=>7
[5,1,4,6,2,7,8,3]=>0001101=>7
[1,2,5,3,7,8,6,4]=>0001101=>7
[4,8,3,5,1,2,7,6]=>0001011=>7
[6,1,3,7,2,8,4,5]=>0000111=>7
[3,8,5,4,1,7,2,6]=>0011011=>7
[3,1,5,8,2,6,7,4]=>0100011=>7
[2,8,5,3,1,7,4,6]=>0101011=>7
[6,5,2,3,7,1,8,4]=>0001111=>7
[7,2,1,6,4,8,3,5]=>1000111=>7
[2,1,3,7,5,8,4,6]=>1000011=>7
[6,2,4,5,7,1,8,3]=>0000111=>7
[2,3,8,7,1,4,6,5]=>0000111=>7
[4,2,7,5,6,8,1,3]=>0010011=>7
[2,1,3,4,5,8,6,7,9]=>10000010=>8
[6,8,2,5,4,7,3,1]=>0101011=>7
[9,2,3,4,5,1,6,7,8]=>00010001=>4
[7,2,3,4,5,6,9,1,8]=>00000101=>8
[10,2,3,4,5,6,7,1,8,9]=>000001001=>9
[6,2,3,4,5,9,1,7,8]=>00001001=>8
[10,2,3,4,5,6,1,7,8,9]=>000010001=>9
[5,2,3,4,9,1,6,7,8]=>00010001=>4
[10,2,3,4,5,1,6,7,8,9]=>000100001=>9
[4,2,3,9,1,5,6,7,8]=>00100001=>8
[10,2,3,4,1,5,6,7,8,9]=>001000001=>9
[3,2,9,1,4,5,6,7,8]=>01000001=>8
[2,7,6,3,8,4,5,1]=>0001111=>7
[4,6,8,2,3,1,7,5]=>0100011=>7
[4,7,2,3,5,1,8,6]=>0001011=>7
[6,4,2,1,3,7,5,8]=>1010110=>7
[2,8,1,3,4,5,6,10,7,9]=>000000101=>9
[10,7,1,2,3,4,5,9,6,8]=>000001011=>9
[5,3,2,7,6,1,8,4]=>0101111=>7
[5,6,4,2,8,7,1,3]=>0010111=>7
[5,7,4,2,6,1,8,3]=>0010111=>7
[5,4,7,1,6,2,8,3]=>0001111=>7
[4,5,8,7,6,2,1,3]=>1000111=>7
[6,4,7,1,2,3,8,5]=>0000111=>7
[4,5,6,8,2,9,3,10,7,1]=>000001111=>9
[10,4,5,6,9,3,8,2,7,1]=>000001111=>9
[4,5,10,6,9,3,8,2,7,1]=>000001111=>9
[4,5,8,2,6,10,9,3,7,1]=>000001111=>9
[10,6,9,5,4,3,8,2,7,1]=>001101111=>9
[8,2,6,10,9,5,4,3,7,1]=>001101111=>9
[8,2,10,4,5,6,7,1,9,3]=>000001111=>9
[4,5,6,8,2,10,7,1,9,3]=>000001111=>9
[10,4,5,6,8,2,7,1,9,3]=>000001111=>9
[4,5,10,6,8,2,7,1,9,3]=>000001111=>9
[4,5,10,8,2,6,7,1,9,3]=>000001111=>9
[10,6,8,2,7,1,9,5,4,3]=>001101111=>9
[10,8,2,6,7,1,9,5,4,3]=>001101111=>9
[8,2,7,1,9,3,10,4,5,6]=>000001111=>9
[4,5,8,2,7,1,9,3,10,6]=>000001111=>9
[4,5,9,3,10,7,1,8,2,6]=>000001111=>9
[4,5,7,1,9,3,8,2,6,10]=>000001110=>9
[8,2,7,1,9,5,4,3,10,6]=>001101111=>9
[9,5,4,3,10,7,1,8,2,6]=>001101111=>9
[7,1,9,5,4,3,8,2,6,10]=>001101110=>9
[8,2,6,10,4,5,7,1,9,3]=>000001111=>9
[4,8,2,6,10,5,7,1,9,3]=>000001111=>9
[4,10,8,2,5,6,7,1,9,3]=>000001111=>9
[8,2,6,10,5,7,1,9,4,3]=>001001111=>9
[10,8,2,5,6,7,1,9,4,3]=>001001111=>9
[9,3,10,4,5,7,1,8,2,6]=>000001111=>9
[4,9,3,10,5,7,1,8,2,6]=>000001111=>9
[4,9,3,10,7,1,8,2,5,6]=>000001111=>9
[4,7,1,9,3,8,2,5,6,10]=>000001110=>9
[9,4,3,10,5,7,1,8,2,6]=>001001111=>9
[9,4,3,10,7,1,8,2,5,6]=>001001111=>9
[7,1,9,4,3,8,2,5,6,10]=>001001110=>9
[5,10,7,1,8,2,4,3,9,6]=>001001111=>9
[5,7,1,8,2,4,3,9,6,10]=>001001110=>9
[10,5,7,1,9,4,2,6,8,3]=>001001111=>9
[9,4,2,5,6,7,1,10,8,3]=>001001111=>9
[10,5,7,1,8,3,9,4,2,6]=>001001111=>9
[10,7,1,8,3,9,4,2,5,6]=>001001111=>9
[7,1,8,3,9,4,2,5,6,10]=>001001110=>9
[4,2,5,10,7,1,8,3,9,6]=>001001111=>9
[4,2,5,7,1,8,3,9,6,10]=>001001110=>9
[6,1,7,3,8,4,5,2]=>0001111=>7
[8,2,3,1,6,4,7,5]=>0100111=>7
[1,8,7,2,3,4,6,5]=>0000111=>7
[1,8,3,7,6,2,5,4]=>0001111=>7
[1,3,8,2,5,6,4,7]=>0000101=>7
[1,3,2,7,4,6,8,5]=>0100011=>7
[1,3,8,4,6,2,7,5]=>0000111=>7
[8,2,3,6,7,4,5,1]=>0001011=>7
[5,6,4,2,1,7,3,8]=>1010110=>7
[2,5,7,6,3,8,4,1]=>0010111=>7
[6,4,7,1,2,5,3,8]=>0001110=>7
[4,5,6,7,8,9,1,2,10,3]=>000000011=>9
[4,5,6,7,8,1,3,9,2]=>00000011=>8
[1,2,7,5,8,6,3,4]=>0000111=>7
[2,1,9,8,7,6,5,3,4]=>10011111=>8
[2,1,9,8,7,6,4,3,5]=>10101111=>8
[2,1,9,8,7,6,3,5,4]=>10011111=>8
[2,1,10,9,8,7,6,5,3,4]=>100111111=>9
[7,4,5,1,6,8,2,3]=>0001011=>7
[1,7,8,4,2,6,3,5]=>0010101=>7
[6,3,2,5,7,4,1,8]=>0110110=>7
[6,2,1,5,3,7,8,4]=>1001101=>7
[6,2,5,1,3,8,7,4]=>0001111=>7
[6,2,8,5,1,3,7,4]=>0001111=>7
[10,9,7,3,6,1,2,4,8,5]=>000011111=>9
[9,7,3,6,1,2,4,10,8,5]=>000011111=>9
[7,3,10,9,6,1,2,4,8,5]=>000011111=>9
[7,3,9,6,1,2,4,10,8,5]=>000011111=>9
[9,6,1,2,4,10,7,3,8,5]=>000011111=>9
[8,4,10,9,7,3,6,1,2,5]=>000011111=>9
[10,8,4,9,7,3,6,1,2,5]=>000011111=>9
[7,3,8,4,10,9,6,1,2,5]=>000011111=>9
[7,3,10,8,4,9,6,1,2,5]=>000011111=>9
[10,7,3,8,4,9,6,1,2,5]=>000011111=>9
[6,1,2,7,3,8,4,10,9,5]=>000011111=>9
[6,1,2,7,3,10,8,4,9,5]=>000011111=>9
[6,1,2,10,7,3,8,4,9,5]=>000011111=>9
[10,6,1,2,7,3,8,4,9,5]=>000011111=>9
[6,1,3,10,9,7,2,4,8,5]=>000011111=>9
[6,1,3,9,7,2,4,10,8,5]=>000011111=>9
[10,9,6,1,3,7,2,4,8,5]=>000011111=>9
[9,6,1,3,7,2,4,10,8,5]=>000011111=>9
[10,7,2,4,9,6,1,3,8,5]=>000011111=>9
[6,1,3,8,4,10,9,7,2,5]=>000011111=>9
[6,1,3,10,8,4,9,7,2,5]=>000011111=>9
[8,4,10,9,6,1,3,7,2,5]=>000011111=>9
[10,8,4,9,6,1,3,7,2,5]=>000011111=>9
[9,6,1,3,8,4,10,7,2,5]=>000011111=>9
[7,2,6,1,3,8,4,10,9,5]=>000011111=>9
[7,2,6,1,3,10,8,4,9,5]=>000011111=>9
[10,7,2,6,1,3,8,4,9,5]=>000011111=>9
[7,2,10,6,1,3,8,4,9,5]=>000011111=>9
[8,3,6,1,4,10,9,7,2,5]=>000011111=>9
[10,8,3,6,1,4,9,7,2,5]=>000011111=>9
[10,9,6,1,4,8,3,7,2,5]=>000011111=>9
[9,6,1,4,10,8,3,7,2,5]=>000011111=>9
[8,3,9,6,1,4,10,7,2,5]=>000011111=>9
[8,3,7,2,6,1,4,10,9,5]=>000011111=>9
[10,8,3,7,2,6,1,4,9,5]=>000011111=>9
[8,3,10,7,2,6,1,4,9,5]=>000011111=>9
[7,2,8,3,10,6,1,4,9,5]=>000011111=>9
[9,4,10,8,3,7,2,6,1,5]=>000011111=>9
[8,3,9,4,10,7,2,6,1,5]=>000011111=>9
[7,2,8,3,9,4,10,6,1,5]=>000011111=>9
[4,1,7,8,3,6,5,2]=>0011101=>7
[6,4,2,1,7,3,5,8]=>1010110=>7
[5,8,4,2,1,3,6,7]=>1010001=>7
[4,5,3,6,7,8,9,1,2]=>00010001=>4
[5,3,4,6,7,8,9,1,2]=>00010001=>4
[1,7,5,8,4,3,6,2]=>0010111=>7
[5,8,1,6,4,7,2,3]=>0000111=>7
[2,4,7,5,1,8,6,3]=>0001111=>7
[2,3,7,1,8,5,6,4]=>0000111=>7
[6,5,1,2,7,4,8,3]=>0001111=>7
[3,6,5,7,8,2,4,1]=>0010101=>7
[3,6,5,1,8,7,4,2]=>0011111=>7
[7,8,1,2,5,4,3,6]=>0011001=>7
[2,8,4,3,5,1,7,6]=>0011011=>7
[5,2,4,7,6,8,1,3]=>0001011=>7
[3,1,5,7,4,8,6,2]=>0100111=>7
[4,1,7,6,8,2,5,3]=>0011011=>7
[7,2,6,4,1,5,3,8]=>0011110=>7
[1,2,6,5,8,3,7,4]=>0000111=>7
[7,3,5,6,1,4,2,8]=>0010110=>7
[5,8,3,1,6,7,4,2]=>0110011=>7
[4,5,8,1,7,3,6,2]=>0000111=>7
[4,7,1,6,8,5,2,3]=>0001011=>7
[5,8,7,1,6,4,2,3]=>0010111=>7
[1,7,3,8,2,5,4,6]=>0001011=>7
[8,4,1,3,6,7,5,2]=>0011011=>7
[5,3,1,8,6,7,4,2]=>0111011=>7
[6,2,7,1,4,3,5,8]=>0010110=>7
[9,5,4,3,2,1,6,7,8]=>11110001=>8
[10,3,4,1,2,5,6,7,8,9]=>001000001=>9
[8,3,2,6,5,1,7,4]=>0101111=>7
[7,3,2,6,5,1,4,8]=>0101110=>7
[2,6,8,4,7,1,3,5]=>0000011=>7
[7,8,6,3,2,5,4,1]=>0111101=>7
[5,2,8,6,3,1,4,7]=>0101101=>7
[1,6,4,8,2,3,5,7]=>0000101=>7
[2,8,5,6,4,1,7,3]=>0010111=>7
[1,4,7,3,5,8,6,2]=>0000111=>7
[3,7,8,2,5,1,6,4]=>0001101=>7
[8,6,1,4,3,2,7,5]=>0110111=>7
[7,3,8,2,4,1,5,6]=>0010011=>7
[6,3,7,8,1,2,5,4]=>0001101=>7
[7,6,1,5,2,3,8,4]=>0001111=>7
[5,1,8,6,7,2,3,4]=>0001011=>7
[5,7,1,6,8,2,3,4]=>0000011=>7
[6,8,4,2,1,7,3,5]=>1010011=>7
[6,3,2,8,1,7,4,5]=>0100111=>7
[6,4,1,3,7,8,5,2]=>0011101=>7
[6,8,5,4,3,7,1,2]=>0011011=>7
[5,7,4,8,3,1,2,6]=>0100011=>7
[6,1,2,4,8,3,7,5]=>0000111=>7
[2,5,6,8,1,4,7,3]=>0000011=>7
[7,4,1,6,5,2,3,8]=>0011110=>7
[4,1,6,5,2,3,8,7]=>0011101=>7
[4,5,1,7,8,6,2,3]=>0001101=>7
[8,5,7,3,4,6,2,1]=>1000111=>7
[6,8,7,4,3,5,2,1]=>1011011=>7
[6,8,7,5,3,4,2,1]=>1011011=>7
[5,8,6,2,4,7,3,1]=>0100111=>7
[4,8,6,2,5,7,3,1]=>0100111=>7
[1,6,4,7,5,3,2,8]=>0101110=>7
[1,6,5,3,2,7,4,8]=>0101110=>7
[1,6,8,7,4,5,3,2]=>0101011=>7
[1,4,7,5,3,2,6,8]=>0101010=>7
[1,7,5,4,3,2,8,6]=>0111011=>7
[1,4,7,5,3,2,8,6]=>0101011=>7
[1,7,4,6,8,5,3,2]=>0101011=>7
[6,8,7,2,3,5,4,1]=>0011011=>7
[5,7,6,1,8,2,4,3]=>0010111=>7
[4,8,6,5,7,2,3,1]=>0100111=>7
[2,7,8,5,1,4,3,6]=>0011001=>7
[8,5,6,2,4,7,3,1]=>0100111=>7
[3,5,8,4,2,6,1,7]=>0010101=>7
[8,1,3,6,4,5,2,7]=>0001101=>7
[1,2,3,7,4,8,5,9,6]=>00000111=>8
[1,2,3,4,7,5,9,8,6]=>00000111=>8
[1,2,6,3,7,4,9,8,5]=>00001111=>8
[1,2,3,8,6,4,9,7,5]=>00001111=>8
[1,2,3,6,4,9,8,7,5]=>00001111=>8
[5,1,6,2,7,3,9,8,4]=>00011111=>8
[1,5,2,8,6,3,9,7,4]=>00011111=>8
[1,5,2,6,3,9,8,7,4]=>00011111=>8
[1,2,7,5,3,9,8,6,4]=>00011111=>8
[1,2,5,3,9,8,7,6,4]=>00011111=>8
[4,1,7,5,2,9,8,6,3]=>00111111=>8
[4,1,5,2,9,8,7,6,3]=>00111111=>8
[1,6,4,2,9,8,7,5,3]=>00111111=>8
[1,4,2,9,8,7,6,5,3]=>00111111=>8
[7,5,3,1,9,8,6,4,2]=>01111111=>8
[5,3,1,9,8,7,6,4,2]=>01111111=>8
[1,2,3,4,8,5,9,6,10,7]=>000000111=>9
[1,2,3,4,5,8,6,10,9,7]=>000000111=>9
[1,2,3,7,4,8,5,10,9,6]=>000001111=>9
[1,2,3,4,9,7,5,10,8,6]=>000001111=>9
[1,2,3,4,7,5,10,9,8,6]=>000001111=>9
[1,6,2,7,3,8,4,10,9,5]=>000011111=>9
[1,2,6,3,9,7,4,10,8,5]=>000011111=>9
[1,2,6,3,7,4,10,9,8,5]=>000011111=>9
[1,2,3,8,6,4,10,9,7,5]=>000011111=>9
[1,2,3,6,4,10,9,8,7,5]=>000011111=>9
[5,1,6,2,9,7,3,10,8,4]=>000111111=>9
[5,1,6,2,7,3,10,9,8,4]=>000111111=>9
[1,5,2,6,3,10,9,8,7,4]=>000111111=>9
[1,2,7,5,3,10,9,8,6,4]=>000111111=>9
[1,2,5,3,10,9,8,7,6,4]=>000111111=>9
[7,4,1,8,5,2,10,9,6,3]=>001111111=>9
[4,1,9,7,5,2,10,8,6,3]=>001111111=>9
[4,1,7,5,2,10,9,8,6,3]=>001111111=>9
[4,1,5,2,10,9,8,7,6,3]=>001111111=>9
[1,8,6,4,2,10,9,7,5,3]=>001111111=>9
[1,6,4,2,10,9,8,7,5,3]=>001111111=>9
[1,4,2,10,9,8,7,6,5,3]=>001111111=>9
[7,5,3,1,10,9,8,6,4,2]=>011111111=>9
[5,3,1,10,9,8,7,6,4,2]=>011111111=>9
[4,3,1,6,2,5,8,7]=>0110101=>7
[7,5,2,1,8,4,3,6]=>1011011=>7
[5,3,1,4,7,8,2,6]=>0101001=>7
[7,1,2,4,8,3,5,6]=>0000011=>7
[8,6,1,3,5,7,4,2]=>0010111=>7
[7,1,5,8,2,3,4,6]=>0000011=>7
[3,6,8,5,1,4,2,7]=>0011001=>7
[5,2,4,1,6,8,3,7]=>0011001=>7
[2,5,3,4,6,8,1,7]=>0001001=>7
[4,7,1,2,5,6,3,8]=>0000110=>7
[6,7,3,1,8,2,4,5]=>0100011=>7
[7,3,1,4,6,2,8,5]=>0100111=>7
[7,4,1,2,5,6,3,8]=>0010110=>7
[5,4,1,3,6,8,7,2]=>0011011=>7
[5,7,4,8,1,6,3,2]=>0100111=>7
[4,3,1,2,5,7,6,8]=>0110010=>7
[2,3,4,5,8,7,6,1,9]=>00001110=>8
[1,3,4,5,6,9,8,7,2]=>00000111=>8
[1,2,3,4,5,8,9,7,6]=>00000101=>8
[1,2,3,4,8,9,6,7,5]=>00000101=>8
[1,2,3,8,9,5,6,7,4]=>00000101=>8
[1,2,4,7,8,5,6,3]=>0000101=>7
[1,2,8,9,4,5,6,7,3]=>00000101=>8
[8,3,6,5,7,4,2,1]=>1010111=>7
[8,2,6,5,7,4,3,1]=>0110111=>7
[8,4,7,1,5,2,6,3]=>0001111=>7
[8,2,6,3,7,5,4,1]=>0011111=>7
[8,2,5,3,7,6,4,1]=>0011111=>7
[8,5,7,1,4,3,6,2]=>0010111=>7
[5,3,1,8,4,2,6,7]=>0111001=>7
[4,5,3,6,8,7,1,2]=>0001011=>7
[2,1,6,5,8,7,3,4]=>1000111=>7
[6,1,5,4,7,3,8,2]=>0001111=>7
[9,4,2,3,5,6,7,8,1]=>00100011=>8
[3,1,8,4,2,7,6,5]=>0110111=>7
[2,8,7,4,1,3,6,5]=>0010111=>7
[8,2,3,1,7,6,4,5]=>0100111=>7
[8,7,2,3,1,6,4,5]=>0100111=>7
[7,2,5,8,3,1,4,6]=>0100011=>7
[6,8,2,3,1,7,4,5]=>0100011=>7
[8,2,5,7,3,1,4,6]=>0100011=>7
[8,2,7,3,1,4,5,6]=>0100011=>7
[5,3,2,8,7,1,6,4]=>0101111=>7
[8,6,7,4,1,3,5,2]=>0011011=>7
[4,1,3,6,5,2,8,7]=>0011101=>7
[4,6,3,2,5,1,8,7]=>0101101=>7
[4,8,3,2,6,5,7,1]=>0100111=>7
[4,8,3,6,5,2,7,1]=>0001111=>7
[8,1,6,2,5,4,7,3]=>0001111=>7
[2,4,3,8,6,1,7,5]=>0010111=>7
[2,6,3,8,5,4,7,1]=>0001111=>7
[6,1,3,2,5,8,7,4]=>0100111=>7
[6,8,4,2,5,3,7,1]=>0011011=>7
[6,8,4,3,5,2,7,1]=>0011011=>7
[8,1,4,6,5,3,7,2]=>0001111=>7
[1,4,2,5,6,7,9,8,3]=>00100011=>8
[2,3,4,5,6,7,8,9,1,11,10]=>0000000101=>10
[2,1,4,5,6,9,7,3,8]=>10000101=>8
[3,5,4,6,1,2,8,7]=>0001101=>7
[3,1,5,2,9,6,7,8,4]=>01010011=>8
[4,5,1,6,8,7,9,2,3]=>00010011=>8
[1,4,2,5,6,7,8,10,9,3]=>001000011=>9
[3,4,1,5,6,7,8,9,10,11,2]=>0010000001=>10
[1,3,4,5,6,7,8,9,11,2,10]=>0000000001=>10
[2,1,4,5,6,7,10,8,3,9]=>100000101=>9
[2,3,1,5,9,6,7,4,8]=>01000101=>8
[1,2,4,5,7,9,6,3,8]=>00001001=>8
[3,4,6,5,7,1,2,9,8]=>00001101=>8
[3,1,9,4,2,6,7,8,5]=>01100011=>8
[7,3,5,6,1,8,2,4]=>0000111=>7
[1,2,5,3,9,6,8,7,4]=>00010111=>8
[3,1,5,2,6,10,7,8,9,4]=>010100011=>9
[4,5,1,7,6,8,2,9,3]=>00010111=>8
[4,5,1,6,7,9,8,10,2,3]=>000100011=>9
[1,4,2,5,6,7,8,9,11,10,3]=>0010000011=>10
[5,7,6,3,4,2,8,1]=>0010111=>7
[4,6,7,2,3,5,8,1]=>0000011=>7
[6,5,4,8,7,2,3,1]=>0101111=>7
[7,2,8,3,9,4,10,5,1,6]=>000101111=>9
[7,2,8,3,9,4,10,1,5,6]=>000001111=>9
[7,2,8,3,9,10,4,5,1,6]=>000101101=>9
[7,2,8,3,9,10,4,1,5,6]=>001001101=>9
[7,2,8,3,9,10,1,4,5,6]=>000001101=>9
[7,2,8,9,3,4,10,5,1,6]=>000101011=>9
[7,2,8,9,3,4,10,1,5,6]=>000001011=>9
[7,2,8,9,3,10,4,5,1,6]=>000101011=>9
[7,2,8,9,3,10,4,1,5,6]=>001001011=>9
[7,2,8,9,3,10,1,4,5,6]=>000001011=>9
[7,2,8,9,10,3,4,5,1,6]=>000101001=>9
[7,2,8,9,10,3,4,1,5,6]=>001001001=>3
[7,2,8,9,10,3,1,4,5,6]=>010001001=>9
[7,8,2,3,9,4,10,5,1,6]=>000100111=>9
[7,8,2,3,9,4,10,1,5,6]=>000000111=>9
[7,8,2,3,9,10,4,5,1,6]=>000100101=>9
[7,8,2,3,9,10,4,1,5,6]=>001000101=>9
[7,8,2,3,9,10,1,4,5,6]=>000000101=>9
[7,8,2,9,3,4,10,5,1,6]=>000100111=>9
[7,8,2,9,3,4,10,1,5,6]=>000000111=>9
[7,8,2,9,3,10,4,5,1,6]=>000100111=>9
[7,8,2,9,3,10,4,1,5,6]=>001000111=>9
[7,8,2,9,3,10,1,4,5,6]=>000000111=>9
[7,8,2,9,10,3,4,5,1,6]=>000100101=>9
[7,8,2,9,10,3,4,1,5,6]=>001000101=>9
[7,8,2,9,10,3,1,4,5,6]=>010000101=>9
[7,8,2,9,10,1,3,4,5,6]=>000000101=>9
[7,8,9,2,3,4,10,5,1,6]=>000100011=>9
[7,8,9,2,3,4,10,1,5,6]=>000000011=>9
[7,8,9,2,3,10,4,5,1,6]=>000100011=>9
[7,8,9,2,3,10,4,1,5,6]=>001000011=>9
[7,8,9,2,3,10,1,4,5,6]=>000000011=>9
[7,8,9,2,10,3,4,5,1,6]=>000100011=>9
[7,8,9,2,10,3,4,1,5,6]=>001000011=>9
[7,8,9,2,10,3,1,4,5,6]=>010000011=>9
[7,8,9,2,10,1,3,4,5,6]=>000000011=>9
[7,8,9,10,2,3,4,1,5,6]=>001000001=>9
[7,8,9,10,2,3,1,4,5,6]=>010000001=>9
[7,8,9,10,2,1,3,4,5,6]=>100000001=>9
[4,8,7,6,5,3,2,1,9]=>11011110=>8
[5,9,8,7,6,4,3,2,1,10]=>111011110=>9
[5,8,7,4,6,3,2,1,9]=>11001110=>8
[8,4,7,6,5,3,2,1,9]=>11011110=>8
[5,7,4,3,6,2,1,8]=>1010110=>7
[6,9,8,5,7,4,1,3,2]=>01100111=>8
[9,8,7,5,1,6,4,3,2]=>01111111=>8
[10,9,8,6,1,7,5,4,3,2]=>011111111=>9
[1,2,8,3,4,5,6,9,7]=>00000011=>8
[1,9,5,2,3,8,4,6,7]=>00010011=>8
[1,2,9,3,4,5,6,7,10,8]=>000000011=>9
[1,8,2,9,4,3,5,6,7]=>00100011=>8
[1,3,2,4,9,8,5,6,7]=>01000011=>8
[2,1,3,4,5,9,8,6,7]=>10000011=>8
[1,2,3,4,5,9,6,7,10,8]=>000000011=>9
[9,1,7,2,3,4,5,8,6]=>00000111=>8
[1,10,6,2,3,4,9,5,7,8]=>000010011=>9
[1,2,10,3,4,5,6,7,8,11,9]=>0000000011=>10
[1,8,5,2,3,4,6,9,7]=>00010011=>8
[9,8,1,2,3,5,6,4,7]=>00001011=>8
[1,5,2,9,3,10,4,6,7,8]=>000100011=>9
[1,4,2,3,9,5,6,8,7]=>00100011=>8
[1,8,5,6,2,3,7,4]=>0000111=>7
[4,9,8,1,2,5,3,6,7]=>00010011=>8
[1,2,4,3,10,9,5,6,7,8]=>001000011=>9
[1,3,2,4,5,9,6,8,7]=>01000011=>8
[1,8,3,9,4,2,5,6,7]=>00100011=>8
[1,3,2,4,5,10,9,6,7,8]=>010000011=>9
[1,2,3,4,5,10,6,7,8,11,9]=>0000000011=>10
[2,3,1,4,9,8,5,6,7]=>01000011=>8
[2,1,3,4,5,9,6,10,7,8]=>100000011=>9
[7,2,4,6,8,1,5,3]=>0001011=>7
[6,2,5,4,7,8,1,3]=>0001101=>7
[3,8,2,6,1,7,4,5]=>0000111=>7
[8,5,6,1,3,2,7,4]=>0100111=>7
[5,3,7,8,2,6,1,4]=>0001101=>7
[4,5,8,3,6,1,7,2]=>0000111=>7
[4,5,8,7,2,3,1,6]=>0100011=>7
[8,2,6,4,3,7,5,1]=>0011111=>7
[6,3,1,8,7,4,5,2]=>0101111=>7
[8,6,3,2,7,4,5,1]=>0101111=>7
[1,3,6,8,7,4,5,2]=>0001011=>7
[5,7,1,3,6,2,4,8]=>0000110=>7
[4,7,5,2,3,6,8,1]=>0001011=>7
[3,6,4,1,2,5,7,8]=>0010100=>7
[4,7,1,3,2,5,8,6]=>0100011=>7
[4,7,1,3,2,6,8,5]=>0100011=>7
[5,7,1,3,6,2,8,4]=>0000111=>7
[6,8,2,5,7,3,1,4]=>0100011=>7
[4,8,5,2,3,6,1,7]=>0001101=>7
[5,8,6,3,4,7,2,1]=>1000111=>7
[3,7,5,4,2,8,1,6]=>0011011=>7
[4,6,5,1,7,8,2,3]=>0001101=>7
[4,7,1,3,2,8,5,6]=>0100011=>7
[3,6,5,1,8,2,4,7]=>0001101=>7
[5,8,7,3,4,2,6,1]=>0010111=>7
[8,7,6,5,4,1,9,3,2]=>01111111=>8
[8,7,6,5,2,9,1,3,4]=>00011111=>8
[8,7,6,3,9,2,1,4,5]=>10001111=>8
[8,7,4,9,3,2,1,6,5]=>11001111=>8
[8,5,9,4,3,2,1,6,7]=>11100011=>8
[6,9,5,4,3,2,1,7,8]=>11110001=>8
[9,8,7,6,5,4,1,10,3,2]=>011111111=>9
[8,7,6,5,2,1,4,3,9]=>10111110=>8
[9,8,7,6,5,2,10,1,3,4]=>000111111=>9
[8,7,6,3,2,5,1,4,9]=>01011110=>8
[8,7,6,5,1,9,4,3,2]=>01111111=>8
[9,8,7,6,3,10,2,1,4,5]=>100011111=>9
[8,7,4,3,6,2,1,9,5]=>10101111=>8
[8,7,6,2,9,5,1,3,4]=>00011111=>8
[9,8,7,4,10,3,2,1,6,5]=>110011111=>9
[8,5,4,7,3,2,1,6,9]=>11010110=>8
[8,7,3,9,6,2,1,4,5]=>10001111=>8
[9,8,5,10,4,3,2,1,6,7]=>111000111=>9
[6,5,8,4,3,2,1,7,9]=>11101010=>8
[8,4,9,7,3,2,1,6,5]=>11001111=>8
[9,6,10,5,4,3,2,1,7,8]=>111100011=>9
[5,9,8,4,3,2,1,6,7]=>11100011=>8
[7,10,6,5,4,3,2,1,9,8]=>111110011=>9
[8,5,2,3,7,4,6,1]=>0001111=>7
[6,3,1,5,4,8,2,7]=>0101101=>7
[4,7,6,3,5,2,8,1]=>0001111=>7
[1,7,5,3,4,8,6,2]=>0001111=>7
[5,8,2,3,4,7,6,1]=>0000111=>7
[8,7,3,2,6,4,5,1]=>0101111=>7
[8,3,1,4,7,5,2,6]=>0101011=>7
[5,3,1,6,4,8,7,2]=>0101111=>7
[3,4,8,5,7,2,6,1]=>0000111=>7
[8,5,1,2,7,6,4,3]=>0011111=>7
[10,7,8,1,2,3,4,5,6,9]=>000000101=>9
[6,7,10,1,2,3,4,5,8,9]=>000000001=>9
[8,2,6,3,1,5,4,7]=>0101101=>7
[3,7,8,5,6,2,4,1]=>0010101=>7
[1,10,2,3,4,7,5,6,8,9]=>000001001=>9
[7,4,3,6,2,5,8,1]=>0010111=>7
[4,3,8,7,1,6,2,5]=>0010111=>7
[1,5,3,8,4,7,2,6]=>0001011=>7
[8,2,3,1,6,5,7,4]=>0100111=>7
[8,4,2,7,1,3,6,5]=>0010111=>7
[8,4,2,3,1,6,7,5]=>0110011=>7
[4,7,2,3,6,5,8,1]=>0000111=>7
[3,8,2,6,4,7,1,5]=>0000111=>7
[1,7,5,8,6,2,4,3]=>0010111=>7
[6,5,1,7,4,8,3,2]=>0101111=>7
[10,9,8,6,7,5,4,3,2,1]=>111101111=>9
[7,6,3,5,1,4,8,2]=>0001111=>7
[6,5,4,1,7,2,3,8]=>0011110=>7
[8,3,6,1,7,4,5,2]=>0001111=>7
[7,1,2,6,4,8,3,5]=>0000111=>7
[3,5,1,8,6,2,4,7]=>0001101=>7
[8,7,5,6,4,3,2,1,9]=>11101110=>4
[8,6,5,7,4,3,2,1,9]=>11101110=>4
[9,8,7,6,4,3,2,5,1]=>01111111=>8
[9,8,7,6,4,3,5,2,1]=>10111111=>8
[8,5,6,7,4,3,2,1,9]=>11100110=>8
[10,9,7,6,8,5,4,3,2,1]=>111101111=>9
[6,7,5,8,4,3,2,1,9]=>11100110=>8
[10,8,7,6,9,5,4,3,2,1]=>111101111=>9
[8,9,7,6,4,3,2,1,5]=>11101101=>8
[7,6,5,3,2,1,4,8,9]=>11011100=>8
[9,8,7,6,4,3,5,1,2]=>00111111=>8
[9,8,7,6,4,3,2,5,1,10]=>011111110=>9
[9,8,7,6,4,5,2,3,1]=>01011111=>8
[9,8,7,6,4,3,5,2,1,10]=>101111110=>9
[9,8,7,6,5,3,4,2,1]=>10111111=>8
[1,8,7,5,4,6,2,3]=>0001111=>7
[8,1,6,7,4,5,3,2]=>0101011=>7
[8,1,6,4,7,5,3,2]=>0101111=>7
[6,4,8,1,5,3,7,2]=>0001111=>7
[1,6,4,3,5,8,2,7]=>0010101=>7
[5,1,4,3,7,8,6,2]=>0011101=>7
[5,7,1,8,6,3,2,4]=>0100111=>7
[5,7,6,3,4,2,1,8]=>1010110=>7
[4,1,3,7,6,5,2,8]=>0011110=>7
[8,7,6,5,4,2,3,1,9]=>01111110=>8
[4,3,6,1,2,7,8,5]=>0010101=>7
[1,10,9,8,6,5,7,4,3,2]=>011011111=>9
[2,9,8,6,5,7,4,3,1]=>01101111=>8
[3,1,4,5,6,7,9,2,10,8]=>010000011=>9
[5,8,3,6,7,2,4,1]=>0010011=>7
[8,1,6,2,5,7,4,3]=>0010111=>7
[2,7,1,5,3,6,8,4]=>0001011=>7
[6,8,7,3,4,2,5,1]=>0011011=>7
[1,8,6,2,4,7,5,3]=>0001111=>7
[5,7,3,6,4,2,1,8]=>1010110=>7
[5,7,3,6,4,1,8,2]=>0010111=>7
[3,7,5,6,4,1,8,2]=>0010111=>7
[7,1,8,2,3,4,5,9,6]=>00000111=>8
[6,8,1,2,3,4,5,9,7]=>00000011=>8
[9,6,7,4,5,2,3,1,8]=>01010101=>2
[8,9,6,7,4,5,2,1,3]=>10010101=>8
[10,8,9,6,7,4,5,2,1,3]=>100101011=>9
[9,8,6,5,4,3,7,2,1]=>10111111=>8
[2,8,5,7,3,4,6,1]=>0000111=>7
[2,3,6,4,5,1,7,8,9]=>00011000=>8
[2,3,4,8,5,6,7,1,9]=>00000110=>8
[3,5,4,7,2,6,1,8,9]=>00011100=>8
[2,6,4,1,5,3,7,8,9]=>00111000=>8
[4,5,2,6,3,1,7,8,9]=>01011000=>8
[3,6,4,5,9,2,7,8,1]=>00001011=>8
[2,5,4,7,8,6,3,1,9]=>01011010=>8
[4,6,2,5,8,3,7,1,9]=>00001110=>8
[3,5,7,6,1,4,2,8,9]=>00101100=>8
[5,6,2,3,7,4,1,8,9]=>00101100=>8
[5,7,2,3,6,9,4,8,1]=>00000111=>8
[2,8,4,1,6,3,7,5,9]=>00101110=>8
[4,6,7,8,3,1,5,2,9]=>01010010=>8
[6,7,2,3,4,8,5,1,9]=>00010110=>8
[3,5,9,7,1,8,2,6,4]=>00001111=>8
[5,7,8,3,9,4,1,6,2]=>00101011=>8
[7,8,2,3,4,5,9,6,1]=>00001011=>8
[2,4,3,1,5,6,7,8,9,10]=>011000000=>9
[2,3,6,4,5,1,7,8,9,10]=>000110000=>9
[3,4,5,2,1,6,7,8,9,10]=>100100000=>9
[2,3,4,8,5,6,7,1,9,10]=>000001100=>9
[3,5,4,7,2,6,1,8,9,10]=>000111000=>9
[2,6,4,1,5,3,7,8,9,10]=>001110000=>9
[4,5,2,6,3,1,7,8,9,10]=>010110000=>9
[3,6,4,5,9,2,7,8,1,10]=>000010110=>9
[2,5,4,7,8,6,3,1,9,10]=>010110100=>9
[4,6,2,5,8,3,7,1,9,10]=>000011100=>9
[3,5,7,6,1,4,2,8,9,10]=>001011000=>9
[5,6,2,3,7,4,1,8,9,10]=>001011000=>9
[2,5,4,8,6,10,7,3,9,1]=>000101111=>9
[4,7,2,5,6,10,3,8,9,1]=>000001011=>9
[2,3,9,5,6,1,7,8,4,10]=>000010110=>9
[5,7,2,3,6,9,4,8,1,10]=>000001110=>9
[2,8,4,1,6,3,7,5,9,10]=>001011100=>9
[4,6,7,8,3,1,5,2,9,10]=>010100100=>9
[6,7,2,3,4,8,5,1,9,10]=>000101100=>9
[3,6,4,10,8,7,1,5,9,2]=>000011111=>9
[2,7,4,9,6,3,10,8,5,1]=>000111111=>9
[4,6,8,7,3,9,10,5,2,1]=>100101101=>9
[6,8,2,3,4,7,10,5,9,1]=>000000111=>9
[3,5,9,7,1,8,2,6,4,10]=>000011110=>9
[5,7,8,3,9,4,1,6,2,10]=>001010110=>9
[7,8,2,3,4,5,9,6,1,10]=>000010110=>9
[4,6,8,10,9,1,5,2,7,3]=>000101011=>9
[6,8,9,3,4,10,5,1,7,2]=>000101011=>9
[8,9,2,3,4,5,6,10,7,1]=>000001011=>9
[2,1,3,8,5,4,6,7]=>1001001=>7
[5,3,6,8,2,4,1,7]=>0011001=>7
[1,7,8,6,3,2,4,5]=>0100101=>7
[7,1,2,5,3,8,4,6]=>0001011=>7
[3,7,4,2,5,1,8,6]=>0011011=>7
[1,8,3,4,5,7,2,6]=>0000011=>7
[2,6,7,5,3,8,1,4]=>0001011=>7
[4,5,2,6,8,7,1,3]=>0001011=>7
[4,5,2,6,8,3,1,7]=>0101001=>7
[4,5,7,6,2,1,3,8]=>1000110=>7
[7,8,2,6,5,4,3,1]=>0111101=>7
[5,3,7,8,4,2,1,6]=>1011001=>7
[7,3,6,8,1,5,4,2]=>0011011=>7
[9,7,8,5,6,2,4,1,3]=>00101011=>8
[9,7,8,4,6,2,5,1,3]=>00011011=>8
[9,6,8,4,7,2,5,1,3]=>00010111=>8
[8,9,6,4,7,2,5,1,3]=>00011101=>8
[8,9,6,7,4,2,5,1,3]=>00110101=>8
[9,7,8,3,6,2,5,1,4]=>00011011=>8
[9,5,8,4,7,2,6,1,3]=>00001111=>8
[7,6,9,4,8,2,5,1,3]=>00010111=>8
[8,6,9,7,4,2,5,1,3]=>00110111=>8
[10,8,9,6,4,7,2,5,1,3]=>000111011=>9
[8,9,6,4,7,5,2,1,3]=>10011101=>8
[10,8,9,6,7,4,2,5,1,3]=>001101011=>9
[8,9,6,7,4,2,5,3,1]=>01110101=>8
[7,5,8,2,4,3,6,1]=>0010111=>7
[6,5,8,2,3,4,1,7]=>0010101=>7
[8,1,5,3,4,6,2,7]=>0001101=>7
[5,8,7,2,4,3,6,1]=>0010111=>7
[1,7,2,4,8,5,6,3]=>0000111=>7
[5,8,2,3,7,4,6,1]=>0000111=>7
[7,8,2,3,5,4,6,1]=>0001101=>7
[8,4,1,3,2,6,5,7]=>0110101=>7
[8,7,2,3,5,4,6,1]=>0001111=>7
[1,7,6,8,4,5,3,2]=>0101011=>7
[2,7,3,1,8,5,6,4]=>0100111=>7
[3,8,5,2,1,6,7,4]=>1001011=>7
[10,1,2,9,6,3,4,5,7,8]=>000010011=>9
[4,1,2,10,3,5,9,6,7,8]=>001000011=>9
[2,8,6,1,5,7,4,3]=>0010111=>7
[8,3,5,1,7,6,4,2]=>0011111=>7
[8,3,5,4,7,1,6,2]=>0001111=>7
[6,4,1,5,7,8,2,3]=>0010101=>7
[4,8,7,1,2,5,3,6]=>0001011=>7
[8,7,2,6,1,4,3,5]=>0010111=>7
[6,1,7,3,8,2,4,5]=>0000111=>7
[7,1,8,6,4,2,3,5]=>0010111=>7
[4,1,3,5,8,2,6,7]=>0010001=>7
[1,8,5,7,4,6,3,2]=>0100111=>7
[1,4,7,6,8,3,5,2]=>0001011=>7
[1,7,2,8,6,5,3,4]=>0001111=>7
[5,7,1,6,4,2,3,8]=>0010110=>7
[4,8,2,7,5,1,6,3]=>0001111=>7
[2,8,4,6,7,1,5,3]=>0001011=>7
[3,8,5,1,4,2,6,7]=>0011001=>7
[1,7,6,2,5,3,8,4]=>0001111=>7
[1,7,5,2,4,3,8,6]=>0011011=>7
[2,8,5,1,4,3,6,7]=>0011001=>7
[9,7,6,5,4,3,2,8,1]=>01111111=>8
[3,1,4,6,2,5,8,7,9]=>01001010=>8
[1,3,2,5,7,4,6,9,8]=>01000101=>8
[7,6,3,5,4,8,2,1]=>1001111=>7
[1,9,8,5,6,7,4,3,2]=>01100111=>8
[1,10,9,8,5,6,7,4,3,2]=>011001111=>9
[1,9,8,5,4,6,7,3,2]=>01010111=>8
[1,10,9,5,6,7,8,4,3,2]=>011000111=>9
[1,9,5,4,6,7,8,3,2]=>01010011=>8
[1,10,4,5,6,7,8,9,3,2]=>010000011=>9
[3,1,2,5,7,6,8,4]=>0100011=>7
[5,1,7,3,2,6,8,4]=>0101011=>7
[4,7,2,3,5,1,6,8]=>0001010=>7
[4,8,2,3,7,5,1,6]=>0001011=>7
[8,7,2,4,3,5,6,1]=>0010111=>7
[8,6,2,4,3,5,1,7]=>0011101=>7
[8,1,2,4,7,3,5,6]=>0000011=>7
[7,6,2,8,4,5,1,3]=>0001111=>7
[6,8,1,5,7,3,2,4]=>0100011=>7
[4,1,7,5,6,8,2,3]=>0010011=>7
[3,7,6,2,1,4,5,8]=>1000110=>7
[1,6,8,7,2,5,4,3]=>0011011=>7
[1,4,8,7,6,3,5,2]=>0001111=>7
[1,2,3,4,7,5,6,9,8]=>00000101=>8
[3,1,8,4,5,2,7,6]=>0101011=>7
[2,3,7,6,1,8,4,5]=>0000111=>7
[4,8,5,2,1,3,7,6]=>1001011=>7
[5,8,4,2,1,3,7,6]=>1010011=>7
[9,8,7,6,5,3,1,4,2]=>01111111=>8
[9,8,7,6,4,1,5,3,2]=>01111111=>8
[9,8,6,1,7,5,4,3,2]=>01111111=>8
[9,7,1,8,6,5,4,3,2]=>01111111=>8
[4,6,7,5,2,3,1,8]=>0101010=>7
[6,2,5,3,1,8,7,4]=>0101111=>7
[6,2,5,3,8,7,1,4]=>0001111=>7
[6,4,5,3,8,7,1,2]=>0001111=>7
[1,6,4,5,8,7,3,2]=>0100111=>7
[8,4,7,5,2,3,1,6]=>0101011=>7
[8,2,7,4,5,3,1,6]=>0101011=>7
[8,2,4,7,5,3,1,6]=>0101011=>7
[8,2,6,7,5,3,1,4]=>0101011=>7
[8,4,6,7,5,3,1,2]=>0101011=>7
[6,4,5,8,7,3,1,2]=>0100111=>7
[6,2,8,7,5,3,1,4]=>0101111=>7
[4,6,5,3,8,7,1,2]=>0001111=>7
[6,7,2,4,5,3,1,8]=>0101010=>7
[6,8,7,4,5,3,1,2]=>0101011=>7
[2,8,4,7,5,3,1,6]=>0101011=>7
[5,8,7,4,6,3,1,2]=>0100111=>7
[6,5,8,4,7,2,1,3]=>1000111=>7
[4,8,6,2,5,7,1,3]=>0000111=>7
[8,1,6,2,5,7,3,4]=>0000111=>7
[6,8,1,2,4,7,3,5]=>0000011=>7
[8,1,5,3,2,7,4,6]=>0101011=>7
[8,3,7,6,2,5,4,1]=>0011111=>7
[1,2,7,4,5,6,8,9,3]=>00000101=>8
[5,3,1,2,6,7,8,9,10,4]=>010100001=>9
[7,3,4,5,1,2,8,9,10,6]=>000101001=>9
[8,3,4,5,6,1,2,9,10,7]=>000010101=>9
[1,2,3,4,7,8,5,6,9]=>00000010=>8
[1,2,3,4,6,5,8,7,9]=>00001010=>8
[1,2,3,4,8,9,5,6,7]=>00000001=>8
[4,6,1,3,5,8,2,7]=>0000101=>7
[4,5,1,3,8,7,2,6]=>0001011=>7
[6,2,7,1,8,3,4,5]=>0000111=>7
[6,4,5,8,1,7,2,3]=>0000111=>7
[6,2,8,5,1,4,7,3]=>0001111=>7
[2,4,7,6,1,8,3,5]=>0000111=>7
[2,1,7,8,9,3,4,5,6]=>10000001=>8
[2,6,7,8,9,10,1,3,4,5]=>000000001=>9
[9,7,5,3,8,6,4,2,1]=>10111111=>8
[10,8,9,7,6,5,4,3,2,1]=>111111011=>9
[7,4,5,8,6,3,2,1]=>1100111=>7
[8,6,9,7,4,3,2,1,5]=>11100111=>8
[8,6,3,2,1,4,9,7,5]=>11001111=>8
[8,6,4,9,7,5,2,1,3]=>10011111=>8
[10,8,6,4,9,7,5,3,2,1]=>110111111=>9
[9,7,5,3,8,6,4,1,2]=>00111111=>8
[10,8,6,4,2,1,9,7,5,3]=>101111111=>9
[9,6,7,8,5,4,3,2,1]=>11110011=>8
[10,8,9,6,5,4,3,2,1,7]=>111110011=>9
[8,5,6,9,7,4,3,2,1]=>11100111=>8
[9,7,10,8,5,4,3,2,1,6]=>111100111=>9
[8,6,3,2,1,9,7,4,5]=>11001111=>8
[9,7,8,4,3,2,1,5,6]=>11100011=>8
[9,7,4,3,2,1,5,10,8,6]=>111001111=>9
[8,6,3,4,9,7,5,2,1]=>10011111=>8
[8,6,9,7,3,2,1,4,5]=>11000111=>8
[9,7,5,10,8,6,3,2,1,4]=>110011111=>9
[9,7,5,2,3,8,6,4,1]=>00111111=>8
[8,6,2,1,3,4,9,7,5]=>10001111=>8
[10,8,6,4,9,7,5,2,1,3]=>100111111=>9
[8,6,4,9,7,5,1,2,3]=>00011111=>8
[10,8,6,4,1,2,9,7,5,3]=>001111111=>9
[2,5,1,6,3,7,4,8,9]=>00011100=>8
[2,6,1,7,3,8,4,9,5]=>00001111=>8
[3,4,6,1,7,2,8,5,9]=>00001110=>8
[3,2,6,1,7,4,8,5,9]=>01001110=>8
[4,2,5,6,1,7,3,8,9]=>00101100=>8
[3,4,2,6,1,7,5,8,9]=>00101100=>8
[4,2,5,7,1,8,3,9,6]=>00100111=>8
[3,4,2,7,1,8,5,9,6]=>00100111=>8
[5,3,6,4,7,1,8,2,9]=>00011110=>8
[3,5,2,6,7,1,8,4,9]=>00010110=>8
[4,3,5,2,7,1,8,6,9]=>00110110=>8
[4,6,2,7,5,8,1,9,3]=>00001111=>8
[4,3,6,2,7,8,1,9,5]=>00101011=>8
[4,5,3,6,2,8,1,9,7]=>00011011=>8
[2,5,1,6,3,7,4,8,9,10]=>000111000=>9
[3,4,5,1,6,2,7,8,9,10]=>000110000=>9
[2,6,1,7,3,8,4,9,5,10]=>000011110=>9
[3,4,6,1,7,2,8,5,9,10]=>000011100=>9
[3,2,6,1,7,4,8,5,9,10]=>010011100=>9
[4,2,5,6,1,7,3,8,9,10]=>001011000=>9
[3,4,2,6,1,7,5,8,9,10]=>001011000=>9
[3,2,7,1,8,4,9,5,10,6]=>010001111=>9
[4,5,6,7,1,8,2,9,3,10]=>000001110=>9
[3,4,2,7,1,8,5,9,6,10]=>001001110=>9
[5,3,6,4,7,1,8,2,9,10]=>000111100=>9
[3,5,2,6,7,1,8,4,9,10]=>000101100=>9
[4,3,5,2,7,1,8,6,9,10]=>001101100=>9
[5,2,6,7,8,1,9,3,10,4]=>000100111=>9
[5,3,6,4,8,1,9,2,10,7]=>000110111=>9
[3,5,2,6,8,1,9,4,10,7]=>000100111=>9
[4,3,5,2,8,1,9,6,10,7]=>001100111=>9
[4,6,2,7,5,8,1,9,3,10]=>000011110=>9
[4,3,6,2,7,8,1,9,5,10]=>001010110=>9
[4,5,3,6,2,8,1,9,7,10]=>000110110=>9
[5,3,7,2,8,6,9,1,10,4]=>000101111=>9
[4,5,3,7,2,8,9,1,10,6]=>000101011=>9
[5,4,6,3,7,2,9,1,10,8]=>000111011=>9
[7,6,5,9,4,3,2,1,8]=>11101101=>8
[7,6,5,4,3,9,2,1,8]=>10111101=>8
[7,9,8,5,4,3,2,1,6]=>11110011=>8
[8,7,10,6,5,4,3,2,1,9]=>111110101=>9
[7,6,9,8,4,3,2,1,5]=>11100111=>8
[8,7,6,10,5,4,3,2,1,9]=>111101101=>9
[7,6,5,9,8,3,2,1,4]=>11001111=>8
[7,6,5,4,9,8,2,1,3]=>10011111=>8
[8,7,6,5,4,10,3,2,1,9]=>110111101=>9
[7,6,5,4,3,9,8,1,2]=>00111111=>8
[8,7,6,5,4,3,10,2,1,9]=>101111101=>9
[1,6,2,3,8,5,7,4]=>0000111=>7
[3,4,2,6,8,5,7,1]=>0010011=>7
[9,8,7,6,5,2,3,4,1]=>00111111=>8
[6,1,7,8,9,2,3,4,5]=>00001001=>8
[5,6,7,8,9,11,1,2,3,4,10]=>0000000001=>10
[4,5,6,7,1,9,2,3,8]=>00000101=>8
[3,5,6,7,9,1,2,4,8]=>00000001=>8
[5,1,6,7,8,2,9,3,4]=>00010011=>8
[4,1,6,7,8,9,2,3,5]=>00100001=>8
[5,1,6,7,8,9,10,2,3,4]=>000100001=>9
[6,1,7,8,9,10,11,2,3,4,5]=>0000100001=>5
[7,4,1,3,6,8,2,5]=>0010011=>7
[6,8,1,2,7,3,4,5]=>0000011=>7
[1,6,2,8,7,3,4,5]=>0000111=>7
[1,6,8,5,7,4,3,2]=>0110011=>7
[3,8,1,2,4,7,6,5]=>0000111=>7
[1,4,5,7,3,6,8,2]=>0000011=>7
[2,3,8,1,4,6,5,7]=>0000101=>7
[3,6,2,4,7,5,8,1]=>0000111=>7
[3,1,8,4,6,2,5,7]=>0100101=>7
[4,2,7,3,5,8,1,6]=>0010011=>7
[3,1,8,4,5,6,2,7]=>0100101=>7
[4,2,7,8,6,3,1,5]=>0110101=>7
[7,1,4,2,8,6,3,5]=>0010111=>7
[2,3,7,4,8,1,6,5]=>0000111=>7
[1,6,3,5,8,7,4,2]=>0010111=>7
[8,4,6,3,5,1,7,2]=>0001111=>7
[7,3,2,6,8,4,5,1]=>0101011=>7
[2,4,5,7,1,6,8,3]=>0000011=>7
[8,4,2,6,7,3,5,1]=>0011011=>7
[4,1,5,7,8,6,2,3]=>0010101=>7
[6,1,4,8,2,3,7,5]=>0000111=>7
[7,6,2,3,5,8,4,1]=>0010111=>7
[2,8,5,7,6,3,4,1]=>0010111=>7
[2,5,7,8,6,4,1,3]=>0010101=>7
[7,4,1,6,2,5,8,3]=>0010111=>7
[8,7,4,6,2,5,3,1]=>0101111=>7
[1,7,5,4,6,2,3,8]=>0001110=>7
[6,2,7,5,3,1,4,8]=>0101110=>7
[6,1,7,4,8,5,2,3]=>0001111=>7
[8,2,4,6,3,1,7,5]=>0100111=>7
[2,3,1,5,6,8,9,4,7]=>01000001=>8
[5,6,2,4,8,7,3,1]=>0100111=>7
[8,5,6,2,3,7,4,1]=>0010111=>7
[7,8,1,4,5,6,2,3]=>0000101=>7
[5,6,7,8,9,1,3,4,2]=>00100001=>8
[6,7,8,9,1,3,4,5,2]=>00010001=>4
[6,7,8,9,1,4,5,2,3]=>00010001=>4
[6,7,8,9,1,4,5,3,2]=>01010001=>8
[6,7,8,9,1,5,4,3,2]=>01110001=>8
[7,8,9,1,4,5,6,2,3]=>00001001=>8
[7,8,9,1,4,5,6,3,2]=>01001001=>8
[7,8,9,1,5,6,3,4,2]=>00101001=>8
[7,8,9,1,5,6,4,3,2]=>01101001=>8
[7,8,9,1,6,5,4,3,2]=>01111001=>8
[8,9,1,5,6,7,3,4,2]=>00100101=>8
[8,9,1,5,6,7,4,3,2]=>01100101=>8
[8,9,1,6,7,4,5,2,3]=>00010101=>8
[8,9,1,6,7,4,5,3,2]=>01010101=>2
[8,9,1,6,7,5,4,3,2]=>01110101=>8
[9,1,7,8,5,6,3,4,2]=>00101011=>8
[9,1,7,8,5,6,4,3,2]=>01101011=>8
[5,6,7,8,9,10,1,3,4,2]=>001000001=>9
[5,6,7,8,9,10,1,4,3,2]=>011000001=>9
[7,8,9,10,1,4,5,6,2,3]=>000010001=>9
[7,8,9,10,1,4,5,6,3,2]=>010010001=>9
[7,8,9,10,1,5,6,4,3,2]=>011010001=>9
[7,8,9,10,1,6,5,4,3,2]=>011110001=>9
[8,9,10,1,4,5,6,7,2,3]=>000001001=>9
[8,9,10,1,4,5,6,7,3,2]=>010001001=>9
[8,9,10,1,5,6,7,2,3,4]=>000001001=>9
[8,9,10,1,5,6,7,4,3,2]=>011001001=>9
[8,9,10,1,6,7,4,5,2,3]=>000101001=>9
[8,9,10,1,6,7,4,5,3,2]=>010101001=>9
[8,9,10,1,6,7,5,4,3,2]=>011101001=>9
[8,9,10,1,7,6,5,4,3,2]=>011111001=>9
[9,10,1,6,7,8,3,4,5,2]=>000100101=>9
[9,10,1,6,7,8,4,5,2,3]=>000100101=>9
[9,10,1,6,7,8,4,5,3,2]=>010100101=>9
[9,10,1,6,7,8,5,4,3,2]=>011100101=>9
[9,10,1,7,8,5,6,3,4,2]=>001010101=>9
[9,10,1,7,8,5,6,4,3,2]=>011010101=>9
[9,10,1,7,8,6,5,4,3,2]=>011110101=>9
[10,1,8,9,6,7,4,5,3,2]=>010101011=>9
[10,1,8,9,6,7,5,4,3,2]=>011101011=>9
[10,1,8,9,7,6,5,4,3,2]=>011111011=>9
[8,3,1,2,5,4,7,6]=>0101011=>7
[8,1,5,3,7,4,2,6]=>0011011=>7
[1,2,6,7,8,3,5,4]=>0001001=>7
[1,2,4,8,6,7,3,5]=>0000011=>7
[8,1,2,6,5,7,3,4]=>0000111=>7
[7,1,2,6,5,8,3,4]=>0000111=>7
[7,4,8,3,5,6,2,1]=>1000111=>7
[2,6,1,4,7,5,8,3]=>0000111=>7
[3,1,5,7,2,6,8,4]=>0100011=>7
[3,1,7,5,2,6,8,4]=>0101011=>7
[3,2,7,5,1,6,8,4]=>0101011=>7
[5,2,7,3,1,6,8,4]=>0101011=>7
[6,7,2,1,3,4,8,5]=>1000011=>7
[4,6,3,1,2,7,8,5]=>0100101=>7
[2,3,4,5,7,9,6,8,1]=>00000011=>8
[2,3,4,6,9,5,7,8,1]=>00000011=>8
[2,3,5,6,8,4,7,1]=>0000011=>7
[2,3,5,9,4,6,7,8,1]=>00000011=>8
[2,4,5,8,3,6,7,1]=>0000011=>7
[2,4,9,3,5,6,7,8,1]=>00000011=>8
[5,9,8,7,6,4,3,1,2]=>01101111=>8
[5,4,8,7,6,3,2,1,9]=>11011110=>8
[4,5,8,7,6,3,1,2]=>0100111=>7
[6,5,9,8,7,4,3,1,2]=>01101111=>8
[8,7,4,6,5,3,1,2]=>0101111=>7
[9,5,8,7,6,4,3,1,2]=>01101111=>8
[6,10,9,8,7,5,4,3,1,2]=>011101111=>9
[8,1,4,3,6,2,5,7]=>0010101=>7
[1,6,3,7,8,4,2,5]=>0010101=>7
[5,3,8,4,6,7,2,1]=>1001011=>7
[4,3,5,8,6,7,2,1]=>1010011=>7
[3,2,7,8,5,6,4,1]=>0110101=>7
[4,7,3,8,5,6,2,1]=>1000111=>7
[7,1,4,8,5,6,3,2]=>0100111=>7
[4,3,8,7,2,5,6,1]=>0010111=>7
[1,7,3,8,6,4,5,2]=>0001111=>7
[7,4,2,8,5,6,3,1]=>0110111=>7
[3,4,8,2,6,7,5,1]=>0001011=>7
[1,6,3,8,7,4,5,2]=>0001111=>7
[1,4,5,8,7,6,2,3]=>0000111=>7
[5,2,1,3,8,4,6,7]=>1001001=>7
[1,4,3,5,8,2,6,7]=>0010001=>7
[2,1,3,8,6,4,5,7]=>1000101=>7
[1,3,6,4,5,8,2,7]=>0000101=>7
[6,1,4,3,5,8,2,7]=>0010101=>7
[6,5,1,3,8,2,4,7]=>0001101=>7
[1,4,3,8,6,2,5,7]=>0010101=>7
[4,1,3,8,6,2,5,7]=>0010101=>7
[7,1,5,4,6,3,8,2]=>0001111=>7
[8,9,7,6,5,4,3,2,10,1]=>011111011=>9
[7,6,8,5,4,3,2,9,1]=>01110111=>4
[6,8,7,5,4,3,2,9,1]=>01110111=>4
[6,4,7,8,3,5,1,2]=>0001101=>7
[3,5,6,7,1,8,4,2]=>0010011=>7
[3,5,2,4,8,6,7,1]=>0001011=>7
[3,7,6,1,4,8,5,2]=>0001111=>7
[8,4,7,1,5,6,2,3]=>0000111=>7
[2,7,8,3,6,1,5,4]=>0001101=>7
[1,7,8,3,6,2,5,4]=>0001101=>7
[7,4,3,5,8,1,6,2]=>0010111=>7
[7,3,6,4,1,8,5,2]=>0011111=>7
[7,8,4,3,6,1,5,2]=>0011101=>7
[7,1,6,4,3,8,5,2]=>0011111=>7
[8,7,3,4,1,5,2,6]=>0011011=>7
[7,2,6,4,3,8,5,1]=>0011111=>7
[1,7,5,4,3,8,2,6]=>0011011=>7
[2,3,4,5,6,1,8,9,7]=>00001001=>8
[2,3,4,5,1,7,8,9,6]=>00010001=>4
[2,6,3,1,4,7,8,5]=>0100101=>7
[2,9,3,4,5,6,1,7,8]=>00001001=>8
[2,3,4,5,6,7,1,9,10,8]=>000001001=>9
[2,7,3,4,1,8,5,6]=>0010011=>7
[2,8,3,4,5,1,6,9,7]=>00010011=>8
[2,7,3,4,1,5,8,9,6]=>00100101=>8
[2,3,4,5,1,7,8,9,10,6]=>000100001=>9
[2,6,3,1,4,7,8,9,5]=>01001001=>8
[2,3,1,5,6,7,8,9,10,4]=>010000001=>9
[8,6,4,5,1,3,7,2]=>0001111=>7
[7,4,8,5,3,6,1,2]=>0001111=>7
[8,4,6,5,1,3,7,2]=>0001111=>7
[4,5,3,8,7,1,2,6]=>0001011=>7
[8,5,4,7,6,1,2,3]=>0001111=>7
[7,5,8,2,4,3,1,6]=>0110011=>7
[2,3,7,8,1,4,6,5]=>0000101=>7
[8,2,3,5,4,1,7,6]=>0011011=>7
[7,1,3,8,2,4,6,5]=>0000111=>7
[7,2,3,6,4,1,8,5]=>0010111=>7
[6,5,2,4,1,8,3,7]=>0011101=>7
[5,7,2,4,1,3,8,6]=>0010011=>7
[6,2,5,4,1,8,3,7]=>0011101=>7
[4,2,5,3,7,6,9,8,1]=>00110111=>8
[4,2,6,3,7,5,9,8,1]=>00101111=>8
[4,2,6,3,8,5,9,7,1]=>00101111=>8
[4,2,6,3,8,5,1,7,9]=>00111010=>8
[4,2,6,3,5,8,1,7]=>0010101=>7
[4,2,6,3,8,5,7,1,9]=>00101110=>8
[4,2,6,3,5,8,7,1,9]=>00101110=>8
[4,2,3,6,5,8,7,1,9]=>00101110=>8
[4,2,5,3,7,6,9,8,1,10]=>001101110=>9
[5,2,6,3,7,4,9,8,1]=>00011111=>8
[4,2,6,3,7,5,9,8,1,10]=>001011110=>9
[4,2,7,3,8,5,9,6,1]=>00101111=>8
[4,2,6,3,8,5,9,7,1,10]=>001011110=>9
[4,2,6,3,9,5,1,7,8]=>00111001=>8
[4,2,6,3,8,5,10,7,1,9]=>001011101=>9
[4,2,6,3,8,5,7,9,1]=>00101011=>8
[4,2,6,3,8,5,10,7,9,1]=>001010111=>9
[4,2,6,3,5,8,1,7,9]=>00101010=>8
[4,2,6,3,8,5,7,10,9,1]=>001010111=>9
[4,2,3,6,8,5,7,1,9]=>00100110=>8
[4,2,6,3,5,8,7,10,9,1]=>001010111=>9
[2,4,6,3,5,8,7,1,9]=>00001110=>8
[4,2,3,6,5,8,7,10,9,1]=>001010111=>9
[7,4,2,6,8,5,3,1]=>0111011=>7
[8,5,2,4,6,3,1,7]=>0101101=>7
[7,4,1,2,8,5,6,3]=>0010111=>7
[6,4,1,8,5,2,3,7]=>0011101=>7
[8,4,1,6,3,5,2,7]=>0011101=>7
[7,3,4,1,6,8,5,2]=>0011011=>7
[8,6,2,3,5,7,4,1]=>0010111=>7
[8,6,2,5,7,3,4,1]=>0010111=>7
[6,3,4,8,5,1,2,7]=>0001101=>7
[8,5,1,2,7,4,6,3]=>0001111=>7
[7,2,6,8,3,4,5,1]=>0001011=>7
[1,6,7,5,4,8,2,3]=>0001011=>7
[1,8,5,4,2,6,3,7]=>0011101=>7
[3,4,5,6,9,2,1,8,7]=>10000011=>8
[3,4,5,8,2,9,1,7,6]=>00000111=>8
[3,4,7,2,8,9,1,5,6]=>00000101=>8
[3,6,2,7,8,9,1,5,4]=>00011001=>8
[5,2,6,7,8,9,1,4,3]=>00110001=>8
[3,4,5,6,7,8,9,11,1,10,2]=>0000000011=>10
[3,4,5,6,9,1,7,8,2]=>00000011=>8
[3,4,5,6,7,10,2,1,9,8]=>100000011=>9
[3,4,5,6,7,8,10,11,1,9,2]=>0000000101=>10
[3,4,5,8,9,6,1,7,2]=>00001101=>8
[3,4,5,6,9,2,10,1,8,7]=>000000111=>9
[3,4,7,8,5,9,1,2,6]=>00000011=>8
[3,4,5,9,2,6,1,8,7]=>00001011=>8
[3,4,5,8,2,9,10,1,6,7]=>000000101=>9
[3,4,5,6,8,9,10,11,1,7,2]=>0000010001=>10
[3,6,7,4,8,9,1,5,2]=>00010101=>8
[3,4,8,2,5,9,1,7,6]=>00000111=>8
[3,4,7,2,8,9,10,1,6,5]=>000011001=>9
[3,4,5,7,8,9,10,11,1,6,2]=>0000100001=>5
[5,6,3,7,8,9,1,4,2]=>00101001=>8
[3,7,2,4,8,9,1,5,6]=>00000101=>8
[3,6,2,7,8,9,10,1,5,4]=>000110001=>9
[6,2,3,7,8,9,1,5,4]=>00011001=>8
[5,2,6,7,8,9,10,1,3,4]=>000100001=>9
[3,5,6,7,8,9,10,11,1,4,2]=>0010000001=>10
[8,9,7,6,5,4,1,3,2]=>01111101=>8
[8,7,9,6,5,4,1,3,2]=>01111011=>8
[9,7,8,6,5,4,1,3,2]=>01111011=>8
[9,10,8,7,6,5,4,1,3,2]=>011111101=>9
[10,8,7,6,5,4,3,2,9,1]=>011111111=>9
[5,7,3,6,2,1,4,8]=>1000110=>7
[1,3,2,4,5,6,9,7,8]=>01000001=>8
[2,3,1,4,5,6,9,7,8]=>01000001=>8
[5,8,6,1,2,4,3,7]=>0010101=>7
[4,1,5,7,3,6,8,2]=>0010011=>7
[1,4,5,7,6,8,2,3]=>0000011=>7
[5,7,2,1,6,8,4,3]=>1010011=>7
[2,6,3,1,7,8,5,4]=>0101101=>7
[6,2,5,7,4,1,8,3]=>0010111=>7
[3,6,1,8,7,4,5,2]=>0001111=>7
[4,3,9,5,6,7,8,2,1]=>10100011=>8
[10,2,3,4,5,6,7,8,9,11,1]=>0000000011=>10
[2,9,4,5,6,7,8,1,10,3]=>000000111=>9
[3,2,8,5,6,7,1,9,4]=>01000111=>8
[7,8,4,5,6,1,3,9,2]=>00001011=>8
[3,4,1,9,6,7,8,2,5]=>00100011=>8
[4,8,9,5,6,7,2,1,3]=>10000101=>8
[4,3,10,5,6,7,8,9,2,1]=>101000011=>9
[2,10,4,5,6,7,8,9,1,11,3]=>0000000111=>10
[3,2,9,5,6,7,8,1,10,4]=>010000111=>9
[8,9,4,5,6,7,1,3,10,2]=>000001011=>9
[4,2,3,8,6,7,1,9,5]=>00100111=>8
[6,8,4,5,1,3,7,9,2]=>00010011=>8
[4,7,1,3,5,6,8,2]=>0000011=>7
[4,3,5,7,8,2,6,1]=>0010101=>7
[3,5,1,4,9,7,8,2,6]=>00010011=>8
[8,3,4,9,6,7,2,5,1]=>00010111=>8
[3,4,1,10,6,7,8,9,2,5]=>001000011=>9
[4,7,9,5,6,2,1,8,3]=>10001011=>8
[4,9,10,5,6,7,8,2,1,3]=>100000101=>9
[5,3,2,7,6,4,1,8]=>0111110=>7
[5,3,7,4,6,2,1,8]=>1001110=>7
[5,7,3,2,1,8,6,4]=>1100111=>7
[5,7,6,3,2,1,8,4]=>1100111=>7
[3,2,7,5,4,1,8,6]=>0111011=>7
[1,7,3,5,4,2,6,8]=>0011010=>7
[5,3,7,4,1,8,6,2]=>0011111=>7
[7,3,5,4,1,6,8,2]=>0011011=>7
[7,5,1,6,8,3,2,4]=>0101011=>7
[5,3,1,7,6,8,2,4]=>0101011=>7
[7,1,5,3,2,4,8,6]=>0101011=>7
[8,1,2,5,3,4,6,7,9]=>00010010=>8
[7,1,5,2,4,3,6,8]=>0011010=>7
[1,9,2,3,6,4,5,7,8]=>00001001=>8
[9,1,2,3,6,4,5,7,8,10]=>000010010=>9
[8,1,2,6,4,3,5,7,9]=>00101010=>8
[8,1,2,6,3,5,4,7,9]=>00011010=>8
[1,9,2,3,7,5,4,6,8]=>00010101=>8
[1,9,2,3,7,4,6,5,8]=>00001101=>8
[6,8,7,3,2,1,5,4]=>1101011=>7
[3,6,8,7,2,4,1,5]=>0010011=>7
[5,7,3,6,2,1,8,4]=>1000111=>7
[3,6,5,2,4,8,1,7]=>0001101=>7
[5,6,7,8,9,3,2,1,4]=>11000001=>8
[6,7,8,9,3,4,1,2,5]=>00100001=>8
[6,7,8,9,3,4,2,1,5]=>10100001=>8
[7,8,9,3,4,5,1,2,6]=>00010001=>4
[7,8,9,3,4,5,2,1,6]=>10010001=>8
[7,8,9,4,5,2,3,1,6]=>01010001=>8
[7,8,9,4,5,3,2,1,6]=>11010001=>8
[8,9,4,5,6,2,3,1,7]=>01001001=>8
[8,9,4,5,6,3,2,1,7]=>11001001=>8
[8,9,5,6,3,4,1,2,7]=>00101001=>8
[8,9,5,6,3,4,2,1,7]=>10101001=>8
[8,9,5,6,4,3,2,1,7]=>11101001=>8
[9,6,7,4,5,3,2,1,8]=>11010101=>8
[5,6,7,8,9,10,3,2,1,4]=>110000001=>9
[7,8,9,10,3,4,5,1,2,6]=>000100001=>9
[7,8,9,10,3,4,5,2,1,6]=>100100001=>9
[7,8,9,10,4,5,2,3,1,6]=>010100001=>9
[7,8,9,10,4,5,3,2,1,6]=>110100001=>9
[7,8,9,10,5,4,3,2,1,6]=>111100001=>9
[8,9,10,3,4,5,6,1,2,7]=>000010001=>9
[8,9,10,3,4,5,6,2,1,7]=>100010001=>9
[8,9,10,4,5,6,1,2,3,7]=>000010001=>9
[8,9,10,4,5,6,3,2,1,7]=>110010001=>9
[8,9,10,5,6,3,4,1,2,7]=>001010001=>9
[8,9,10,5,6,3,4,2,1,7]=>101010001=>9
[8,9,10,5,6,4,3,2,1,7]=>111010001=>9
[8,9,10,6,5,4,3,2,1,7]=>111110001=>9
[9,10,5,6,7,2,3,4,1,8]=>001001001=>3
[9,10,5,6,7,3,4,1,2,8]=>001001001=>3
[9,10,5,6,7,3,4,2,1,8]=>101001001=>9
[9,10,5,6,7,4,3,2,1,8]=>111001001=>9
[9,10,6,7,4,5,3,2,1,8]=>110101001=>9
[9,10,6,7,5,4,3,2,1,8]=>111101001=>9
[9,10,7,6,5,4,3,2,1,8]=>111111001=>9
[10,7,8,5,6,3,4,2,1,9]=>101010101=>9
[10,7,8,5,6,4,3,2,1,9]=>111010101=>9
[10,7,8,6,5,4,3,2,1,9]=>111110101=>9
[1,8,3,6,2,4,7,5]=>0000111=>7
[1,8,7,5,6,4,2,3]=>0010111=>7
[6,8,2,1,5,4,3,7]=>1011001=>7
[10,9,1,2,3,7,8,4,5,6]=>000000111=>9
[10,9,1,2,8,7,3,4,5,6]=>000001111=>9
[9,8,1,10,7,2,3,4,5,6]=>000001111=>9
[8,6,1,2,3,4,5,9,10,7]=>000010101=>9
[5,7,1,2,3,4,8,9,10,6]=>000001001=>9
[8,11,1,2,3,4,5,9,10,6,7]=>0000000011=>10
[10,4,1,2,3,7,8,9,5,6]=>001000011=>9
[10,11,1,2,3,4,8,9,5,6,7]=>0000000101=>10
[10,3,1,2,9,7,8,4,5,6]=>010000111=>9
[10,11,1,2,3,9,8,4,5,6,7]=>0000001101=>10
[2,9,1,10,8,7,3,4,5,6]=>000001111=>9
[10,9,1,2,11,8,3,4,5,6,7]=>0000001111=>10
[9,8,1,10,11,2,3,4,5,6,7]=>0000001101=>10
[11,8,9,10,1,2,3,4,5,6,7]=>0000000011=>10
[6,3,2,1,5,8,4,7]=>1100101=>7
[4,3,5,6,2,8,1,7]=>0010101=>7
[6,3,5,2,7,8,4,1]=>0011101=>7
[4,5,3,1,6,8,2,7]=>0101001=>7
[3,4,6,7,5,1,8,2]=>0001011=>7
[7,4,1,2,5,6,8,3]=>0010011=>7
[4,8,2,6,7,1,5,3]=>0001011=>7
[6,5,8,3,7,1,4,2]=>0010111=>7
[4,2,6,1,3,5,8,7,9]=>00101010=>8
[4,2,6,1,8,3,5,7,9]=>00101010=>8
[4,2,6,1,3,5,8,7,10,9]=>001010101=>9
[4,2,8,1,3,6,5,7,9]=>00101010=>8
[4,2,6,1,8,3,5,7,10,9]=>001010101=>9
[4,2,6,1,9,3,5,8,7]=>00101011=>8
[4,2,6,1,8,3,10,5,7,9]=>001010101=>9
[9,7,1,8,2,3,4,5,6]=>00000111=>8
[9,6,1,7,2,8,3,4,5]=>00001111=>8
[8,6,1,9,7,2,3,4,5]=>00001111=>8
[9,8,6,1,7,2,3,4,5]=>00001111=>8
[8,5,1,9,6,2,7,3,4]=>00011111=>8
[9,8,5,1,6,2,7,3,4]=>00011111=>8
[9,7,5,1,8,6,2,3,4]=>00011111=>8
[9,8,7,5,1,6,2,3,4]=>00011111=>8
[9,7,4,1,8,5,2,6,3]=>00111111=>8
[9,8,7,4,1,5,2,6,3]=>00111111=>8
[8,6,4,1,9,7,5,2,3]=>00111111=>8
[9,8,6,4,1,7,5,2,3]=>00111111=>8
[9,8,7,6,4,1,5,2,3]=>00111111=>8
[9,8,7,5,3,1,6,4,2]=>01111111=>8
[10,7,1,8,2,9,3,4,5,6]=>000001111=>9
[9,7,1,10,8,2,3,4,5,6]=>000001111=>9
[10,9,7,1,8,2,3,4,5,6]=>000001111=>9
[10,6,1,7,2,8,3,9,4,5]=>000011111=>9
[9,6,1,10,7,2,8,3,4,5]=>000011111=>9
[10,9,6,1,7,2,8,3,4,5]=>000011111=>9
[10,8,6,1,9,7,2,3,4,5]=>000011111=>9
[10,9,8,6,1,7,2,3,4,5]=>000011111=>9
[9,5,1,10,6,2,7,3,8,4]=>000111111=>9
[10,9,5,1,6,2,7,3,8,4]=>000111111=>9
[8,5,1,9,6,2,10,7,3,4]=>000111111=>9
[10,8,5,1,9,6,2,7,3,4]=>000111111=>9
[10,9,8,5,1,6,2,7,3,4]=>000111111=>9
[9,7,5,1,10,8,6,2,3,4]=>000111111=>9
[10,9,7,5,1,8,6,2,3,4]=>000111111=>9
[10,9,8,7,5,1,6,2,3,4]=>000111111=>9
[9,7,4,1,10,8,5,2,6,3]=>001111111=>9
[10,9,7,4,1,8,5,2,6,3]=>001111111=>9
[10,9,8,7,4,1,5,2,6,3]=>001111111=>9
[10,8,6,4,1,9,7,5,2,3]=>001111111=>9
[10,9,8,6,4,1,7,5,2,3]=>001111111=>9
[10,9,8,7,6,4,1,5,2,3]=>001111111=>9
[10,9,7,5,3,1,8,6,4,2]=>011111111=>9
[10,9,8,7,5,3,1,6,4,2]=>011111111=>9
[10,9,8,7,6,5,3,1,4,2]=>011111111=>9
[9,1,2,8,4,3,5,6,7]=>00100011=>8
[8,1,9,3,2,4,6,5,7]=>01001011=>8
[9,8,2,1,3,5,6,4,7]=>10001011=>8
[8,1,9,2,4,5,6,3,7]=>00001011=>8
[2,3,4,10,6,7,8,9,1,5]=>000000011=>9
[2,3,10,5,6,7,8,9,1,4]=>000000011=>9
[2,3,4,5,6,10,1,9,7,8]=>000000011=>9
[2,3,4,5,6,7,11,9,10,1,8]=>0000000011=>10
[2,3,4,5,10,1,8,9,6,7]=>000000011=>9
[2,3,4,5,6,11,8,9,10,1,7]=>0000000011=>10
[2,3,4,5,11,7,8,9,10,1,6]=>0000000011=>10
[2,3,10,1,6,7,8,9,4,5]=>000000011=>9
[2,3,4,11,6,7,8,9,10,1,5]=>0000000011=>10
[2,3,11,5,6,7,8,9,10,1,4]=>0000000011=>10
[1,5,2,4,7,6,8,3]=>0001011=>7
[1,4,3,6,5,8,7,9,2]=>00101011=>8
[1,4,2,6,5,8,7,9,3]=>00101011=>8
[1,5,2,6,4,8,7,9,3]=>00011011=>8
[1,5,2,7,4,8,6,9,3]=>00010111=>8
[1,5,2,7,4,9,6,8,3]=>00010111=>8
[1,5,2,7,4,6,9,8,3]=>00010111=>8
[1,5,2,4,7,6,9,8,3]=>00010111=>8
[1,2,5,4,7,6,9,8,3]=>00010111=>8
[1,4,2,6,5,8,7,10,9,3]=>001010111=>9
[1,5,2,6,3,8,7,9,4]=>00011011=>8
[1,5,2,6,4,8,7,10,9,3]=>000110111=>9
[1,6,2,7,4,8,5,9,3]=>00001111=>8
[1,5,2,7,4,8,6,10,9,3]=>000101111=>9
[1,5,2,8,4,9,6,7,3]=>00010111=>8
[1,5,2,7,4,9,6,10,8,3]=>000101111=>9
[1,5,2,7,4,6,8,9,3]=>00010101=>8
[1,5,2,7,4,9,6,8,10,3]=>000101011=>9
[1,5,2,4,7,9,6,8,3]=>00010011=>8
[1,5,2,7,4,6,9,8,10,3]=>000101011=>9
[1,2,5,7,4,6,9,8,3]=>00000111=>8
[1,5,2,4,7,6,9,8,10,3]=>000101011=>9
[1,2,5,4,7,6,9,8,10,3]=>000101011=>9
[2,5,4,7,1,8,3,6]=>0001011=>7
[1,5,4,7,3,8,2,6]=>0001011=>7
[1,2,6,7,3,5,4,8]=>0001010=>7
[9,10,7,8,5,3,6,4,1,2]=>001110101=>9
[9,10,7,8,5,3,1,6,4,2]=>011110101=>9
[9,10,7,5,8,6,3,4,1,2]=>001011101=>9
[9,10,7,5,8,6,3,1,4,2]=>011011101=>9
[9,10,7,5,8,3,6,4,1,2]=>001011101=>9
[9,10,7,5,8,3,1,6,4,2]=>011011101=>9
[9,10,7,5,3,8,6,4,1,2]=>001111101=>9
[9,10,7,5,3,8,6,1,4,2]=>001111101=>9
[9,10,7,5,3,8,1,6,4,2]=>001111101=>9
[9,10,7,5,3,1,8,6,4,2]=>011111101=>9
[9,7,10,8,5,6,3,1,4,2]=>011010111=>9
[9,7,10,8,5,3,6,4,1,2]=>001110111=>9
[9,7,10,8,5,3,6,1,4,2]=>001110111=>9
[9,7,10,8,5,3,1,6,4,2]=>011110111=>9
[9,7,10,5,8,6,3,1,4,2]=>011010111=>9
[9,7,10,5,8,3,1,6,4,2]=>011010111=>9
[9,7,10,5,3,8,6,4,1,2]=>001110111=>9
[9,7,10,5,3,8,6,1,4,2]=>001110111=>9
[9,7,10,5,3,8,1,6,4,2]=>001110111=>9
[9,7,10,5,3,1,8,6,4,2]=>011110111=>9
[9,7,5,10,8,6,3,4,1,2]=>001011111=>9
[9,7,5,10,8,6,3,1,4,2]=>011011111=>9
[9,7,5,10,8,3,6,4,1,2]=>001011111=>9
[9,7,5,10,8,3,6,1,4,2]=>001011111=>9
[9,7,5,10,8,3,1,6,4,2]=>011011111=>9
[9,7,5,10,3,8,6,4,1,2]=>001011111=>9
[9,7,5,10,3,8,6,1,4,2]=>001011111=>9
[9,7,5,10,3,8,1,6,4,2]=>001011111=>9
[9,7,5,10,3,1,8,6,4,2]=>011011111=>9
[9,7,5,3,10,8,6,4,1,2]=>001111111=>9
[9,7,5,3,10,8,6,1,4,2]=>001111111=>9
[9,7,5,3,10,8,1,6,4,2]=>001111111=>9
[9,7,5,3,10,1,8,6,4,2]=>001111111=>9
[8,1,2,4,6,3,5,7]=>0000101=>7
[4,5,6,7,9,8,3,2,1]=>11000011=>8
[5,4,6,7,8,9,3,2,1]=>11010001=>8
[5,6,7,8,10,9,4,3,2,1]=>111000011=>9
[6,5,7,8,9,4,3,2,1]=>11101001=>8
[6,5,7,8,9,10,4,3,2,1]=>111010001=>9
[4,5,6,7,8,10,9,3,2,1]=>110000011=>9
[4,5,6,7,3,9,8,2,1]=>10000111=>8
[3,5,6,7,9,8,4,2,1]=>10100011=>8
[5,4,6,7,8,3,9,2,1]=>10010011=>8
[4,3,6,7,8,9,5,2,1]=>10110001=>8
[5,4,6,7,8,9,10,3,2,1]=>110100001=>9
[3,4,5,6,8,9,7,1,2]=>00000101=>8
[3,4,5,7,8,9,6,1,2]=>00001001=>8
[3,5,6,7,8,9,4,1,2]=>00100001=>8
[4,5,6,7,8,9,3,1,2]=>01000001=>8
[3,4,5,6,7,9,10,8,1,2]=>000000101=>9
[3,4,5,8,1,9,7,6,2]=>00001111=>8
[3,4,5,6,8,9,10,7,1,2]=>000001001=>9
[3,4,7,1,8,9,6,5,2]=>00011101=>8
[3,6,1,7,8,9,4,5,2]=>00011001=>8
[3,4,6,7,8,9,10,5,1,2]=>000100001=>9
[5,1,6,7,8,9,4,3,2]=>01110001=>8
[3,5,6,7,8,9,10,4,1,2]=>001000001=>9
[1,5,6,7,8,9,3,2,4]=>01000001=>8
[3,4,5,6,7,10,1,8,9,2]=>000000011=>9
[3,4,5,6,7,8,10,11,9,1,2]=>0000000101=>10
[3,4,5,8,9,6,7,1,2]=>00000101=>8
[3,4,5,6,9,1,10,8,7,2]=>000001111=>9
[3,4,5,6,7,9,10,11,8,1,2]=>0000001001=>10
[3,4,7,8,5,9,6,1,2]=>00001011=>8
[3,4,5,9,1,6,7,8,2]=>00000011=>8
[3,4,5,8,1,9,10,7,6,2]=>000011101=>9
[3,4,8,1,5,9,7,6,2]=>00001111=>8
[3,4,7,1,8,9,10,5,6,2]=>000011001=>9
[3,4,5,7,8,9,10,11,6,1,2]=>0000100001=>5
[5,6,3,7,8,9,4,1,2]=>00101001=>8
[3,7,8,4,5,6,1,2]=>0000101=>7
[3,7,1,4,8,9,6,5,2]=>00011101=>8
[3,6,1,7,8,9,10,5,4,2]=>001110001=>9
[3,4,6,7,8,9,10,11,5,1,2]=>0001000001=>10
[5,2,6,7,8,9,3,1,4]=>01010001=>8
[6,1,3,7,8,9,4,5,2]=>00011001=>8
[5,1,6,7,8,9,10,4,3,2]=>011100001=>9
[1,2,6,7,8,9,4,3,5]=>00100001=>8
[1,3,8,6,7,4,5,2]=>0001011=>7
[2,6,5,3,7,1,8,4]=>0001111=>7
[5,7,1,3,6,4,8,2]=>0000111=>7
[8,2,5,4,1,7,3,6]=>0011011=>7
[8,1,7,6,4,2,3,5]=>0010111=>7
[1,8,6,3,7,4,5,2]=>0001111=>7
[5,7,3,4,2,8,6,1]=>0010111=>7
[5,8,3,4,2,7,6,1]=>0010111=>7
[7,6,4,2,3,8,5,1]=>0011111=>7
[3,5,6,8,2,4,7,1]=>0000011=>7
[4,8,7,3,2,5,6,1]=>0100111=>7
[3,7,4,2,6,8,5,1]=>0011011=>7
[6,4,8,7,3,2,5,1]=>0101111=>7
[5,6,2,8,7,4,3,1]=>0110111=>7
[6,2,8,3,7,4,5,1]=>0001111=>7
[3,7,5,6,4,2,8,1]=>0010111=>7
[5,2,3,8,6,1,4,7]=>0001101=>7
[1,4,3,8,5,6,2,7]=>0010101=>7
[7,8,2,6,4,3,5,1]=>0011101=>7
[4,5,8,7,2,3,6,1]=>0000111=>7
[7,8,6,1,4,2,5,3]=>0011101=>7
[6,10,5,1,2,3,4,7,8,9]=>000100001=>9
[10,5,4,1,2,3,6,7,8,9]=>001100001=>9
[8,3,6,5,2,7,1,4]=>0001111=>7
[5,1,3,6,4,2,7,8]=>0011100=>7
[6,1,2,4,7,5,3,8]=>0001110=>7
[8,3,1,4,6,7,2,5]=>0100011=>7
[7,8,5,1,2,6,3,4]=>0001101=>7
[6,4,5,1,8,7,3,2]=>0101111=>7
[8,6,2,1,7,3,5,4]=>1001111=>7
[9,3,4,5,6,8,7,2,1]=>10000111=>8
[9,4,3,5,6,7,8,2,1]=>10100011=>8
[10,9,3,4,5,6,8,7,2,1]=>100001111=>9
[9,8,3,4,5,7,6,2,1]=>10001111=>8
[9,8,4,3,5,6,7,2,1]=>10100111=>8
[10,9,4,3,5,6,7,8,2,1]=>101000111=>9
[10,3,4,5,6,7,9,8,2,1]=>100000111=>9
[9,3,4,5,6,2,8,7,1]=>00001111=>8
[9,2,4,5,6,8,7,3,1]=>01000111=>8
[9,4,3,5,6,7,2,8,1]=>00100111=>8
[9,3,2,5,6,7,8,4,1]=>01100011=>8
[10,4,3,5,6,7,8,9,2,1]=>101000011=>9
[7,8,6,1,4,3,5,2]=>0011101=>7
[4,6,3,5,7,2,8,1,9]=>00001110=>8
[5,6,3,4,7,2,8,1,9]=>00001110=>8
[4,3,6,2,5,7,1,8]=>0010110=>7
[1,5,7,4,6,8,3,9,2]=>00000111=>8
[1,6,5,7,3,4,8,2]=>0000111=>7
[1,6,7,4,5,8,3,9,2]=>00000111=>8
[1,7,5,6,8,4,9,3,10,2]=>000001111=>9
[1,2,3,4,8,5,9,6,7]=>00000011=>8
[1,2,3,4,5,8,6,9,7,10]=>000000110=>9
[1,2,3,7,4,5,8,6,9]=>00000110=>8
[1,2,3,4,8,6,5,7,9]=>00001010=>8
[1,2,3,4,9,7,5,6,8]=>00000101=>8
[1,2,3,4,5,9,6,10,7,8]=>000000011=>9
[8,2,6,5,1,7,4,3]=>0011111=>7
[7,6,4,1,2,5,8,3]=>0010111=>7
[2,6,5,4,8,7,1,3]=>0001111=>7
[5,6,7,1,3,2,4,8]=>0100010=>7
[7,1,8,4,3,2,6,5]=>0110111=>7
[2,1,4,9,3,5,6,7,8]=>10000001=>8
[3,7,1,2,4,5,6,9,8]=>00000101=>8
[3,1,2,6,9,4,5,7,8]=>01000001=>8
[4,6,1,2,3,5,9,7,8]=>00001001=>8
[1,8,5,2,7,6,4,3]=>0011111=>7
[1,7,6,8,2,5,4,3]=>0011011=>7
[1,7,8,6,2,5,4,3]=>0011101=>7
[4,6,5,7,1,8,2,3]=>0000111=>7
[7,5,3,6,8,4,2,1]=>1011011=>7
[7,2,5,6,4,8,3,1]=>0100111=>7
[7,4,6,2,8,5,3,1]=>0101111=>7
[9,7,6,5,4,3,8,2,1]=>10111111=>8
[9,8,6,5,4,7,3,2,1]=>11011111=>8
[5,4,3,2,1,9,7,8,6]=>11110011=>8
[10,8,7,6,5,4,3,9,2,1]=>101111111=>9
[10,9,7,6,5,4,8,3,2,1]=>110111111=>9
[1,6,3,4,2,5,8,7]=>0010101=>7
[1,5,7,6,2,3,8,4]=>0000111=>7
[1,4,3,7,6,2,5,8]=>0010110=>7
[1,3,7,4,6,8,5,2]=>0001011=>7
[3,7,4,6,8,1,5,2]=>0001011=>7
[2,6,7,5,3,4,1,8]=>0011010=>7
[2,4,1,7,5,6,8,3]=>0010011=>7
[7,2,4,8,3,5,1,6]=>0001011=>7
[5,6,1,4,3,8,7,2]=>0010111=>7
[5,8,6,4,3,1,7,2]=>0110111=>7
[4,1,3,7,8,6,5,2]=>0011101=>7
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Description
The size of the conjugacy class of a binary word.
Two words $u$ and $v$ are conjugate, if $u=w_1 w_2$ and $v=w_2 w_1$, see Section 1.3 of [1].
Two words $u$ and $v$ are conjugate, if $u=w_1 w_2$ and $v=w_2 w_1$, see Section 1.3 of [1].
Map
descent tops
Description
The descent tops of a permutation as a binary word.
Since 1 is never a descent top, it is omitted and the first letter of the word corresponds to the element 2.
Since 1 is never a descent top, it is omitted and the first letter of the word corresponds to the element 2.
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