Identifier
-
Mp00109:
Permutations
—descent word⟶
Binary words
St001437: Binary words ⟶ ℤ
Values
=>
[1,2]=>0=>1
[2,1]=>1=>1
[1,2,3]=>00=>2
[1,3,2]=>01=>1
[2,1,3]=>10=>2
[2,3,1]=>01=>1
[3,1,2]=>10=>2
[3,2,1]=>11=>2
[1,2,3,4]=>000=>3
[1,2,4,3]=>001=>1
[1,3,2,4]=>010=>2
[1,3,4,2]=>001=>1
[1,4,2,3]=>010=>2
[1,4,3,2]=>011=>1
[2,1,3,4]=>100=>3
[2,1,4,3]=>101=>2
[2,3,1,4]=>010=>2
[2,3,4,1]=>001=>1
[2,4,1,3]=>010=>2
[2,4,3,1]=>011=>1
[3,1,2,4]=>100=>3
[3,1,4,2]=>101=>2
[3,2,1,4]=>110=>3
[3,2,4,1]=>101=>2
[3,4,1,2]=>010=>2
[3,4,2,1]=>011=>1
[4,1,2,3]=>100=>3
[4,1,3,2]=>101=>2
[4,2,1,3]=>110=>3
[4,2,3,1]=>101=>2
[4,3,1,2]=>110=>3
[4,3,2,1]=>111=>3
[1,2,3,4,5]=>0000=>4
[1,2,3,5,4]=>0001=>1
[1,2,4,3,5]=>0010=>2
[1,2,4,5,3]=>0001=>1
[1,2,5,3,4]=>0010=>2
[1,2,5,4,3]=>0011=>1
[1,3,2,4,5]=>0100=>3
[1,3,2,5,4]=>0101=>2
[1,3,4,2,5]=>0010=>2
[1,3,4,5,2]=>0001=>1
[1,3,5,2,4]=>0010=>2
[1,3,5,4,2]=>0011=>1
[1,4,2,3,5]=>0100=>3
[1,4,2,5,3]=>0101=>2
[1,4,3,2,5]=>0110=>2
[1,4,3,5,2]=>0101=>2
[1,4,5,2,3]=>0010=>2
[1,4,5,3,2]=>0011=>1
[1,5,2,3,4]=>0100=>3
[1,5,2,4,3]=>0101=>2
[1,5,3,2,4]=>0110=>2
[1,5,3,4,2]=>0101=>2
[1,5,4,2,3]=>0110=>2
[1,5,4,3,2]=>0111=>1
[2,1,3,4,5]=>1000=>4
[2,1,3,5,4]=>1001=>3
[2,1,4,3,5]=>1010=>4
[2,1,4,5,3]=>1001=>3
[2,1,5,3,4]=>1010=>4
[2,1,5,4,3]=>1011=>2
[2,3,1,4,5]=>0100=>3
[2,3,1,5,4]=>0101=>2
[2,3,4,1,5]=>0010=>2
[2,3,4,5,1]=>0001=>1
[2,3,5,1,4]=>0010=>2
[2,3,5,4,1]=>0011=>1
[2,4,1,3,5]=>0100=>3
[2,4,1,5,3]=>0101=>2
[2,4,3,1,5]=>0110=>2
[2,4,3,5,1]=>0101=>2
[2,4,5,1,3]=>0010=>2
[2,4,5,3,1]=>0011=>1
[2,5,1,3,4]=>0100=>3
[2,5,1,4,3]=>0101=>2
[2,5,3,1,4]=>0110=>2
[2,5,3,4,1]=>0101=>2
[2,5,4,1,3]=>0110=>2
[2,5,4,3,1]=>0111=>1
[3,1,2,4,5]=>1000=>4
[3,1,2,5,4]=>1001=>3
[3,1,4,2,5]=>1010=>4
[3,1,4,5,2]=>1001=>3
[3,1,5,2,4]=>1010=>4
[3,1,5,4,2]=>1011=>2
[3,2,1,4,5]=>1100=>4
[3,2,1,5,4]=>1101=>3
[3,2,4,1,5]=>1010=>4
[3,2,4,5,1]=>1001=>3
[3,2,5,1,4]=>1010=>4
[3,2,5,4,1]=>1011=>2
[3,4,1,2,5]=>0100=>3
[3,4,1,5,2]=>0101=>2
[3,4,2,1,5]=>0110=>2
[3,4,2,5,1]=>0101=>2
[3,4,5,1,2]=>0010=>2
[3,4,5,2,1]=>0011=>1
[3,5,1,2,4]=>0100=>3
[3,5,1,4,2]=>0101=>2
[3,5,2,1,4]=>0110=>2
[3,5,2,4,1]=>0101=>2
[3,5,4,1,2]=>0110=>2
[3,5,4,2,1]=>0111=>1
[4,1,2,3,5]=>1000=>4
[4,1,2,5,3]=>1001=>3
[4,1,3,2,5]=>1010=>4
[4,1,3,5,2]=>1001=>3
[4,1,5,2,3]=>1010=>4
[4,1,5,3,2]=>1011=>2
[4,2,1,3,5]=>1100=>4
[4,2,1,5,3]=>1101=>3
[4,2,3,1,5]=>1010=>4
[4,2,3,5,1]=>1001=>3
[4,2,5,1,3]=>1010=>4
[4,2,5,3,1]=>1011=>2
[4,3,1,2,5]=>1100=>4
[4,3,1,5,2]=>1101=>3
[4,3,2,1,5]=>1110=>4
[4,3,2,5,1]=>1101=>3
[4,3,5,1,2]=>1010=>4
[4,3,5,2,1]=>1011=>2
[4,5,1,2,3]=>0100=>3
[4,5,1,3,2]=>0101=>2
[4,5,2,1,3]=>0110=>2
[4,5,2,3,1]=>0101=>2
[4,5,3,1,2]=>0110=>2
[4,5,3,2,1]=>0111=>1
[5,1,2,3,4]=>1000=>4
[5,1,2,4,3]=>1001=>3
[5,1,3,2,4]=>1010=>4
[5,1,3,4,2]=>1001=>3
[5,1,4,2,3]=>1010=>4
[5,1,4,3,2]=>1011=>2
[5,2,1,3,4]=>1100=>4
[5,2,1,4,3]=>1101=>3
[5,2,3,1,4]=>1010=>4
[5,2,3,4,1]=>1001=>3
[5,2,4,1,3]=>1010=>4
[5,2,4,3,1]=>1011=>2
[5,3,1,2,4]=>1100=>4
[5,3,1,4,2]=>1101=>3
[5,3,2,1,4]=>1110=>4
[5,3,2,4,1]=>1101=>3
[5,3,4,1,2]=>1010=>4
[5,3,4,2,1]=>1011=>2
[5,4,1,2,3]=>1100=>4
[5,4,1,3,2]=>1101=>3
[5,4,2,1,3]=>1110=>4
[5,4,2,3,1]=>1101=>3
[5,4,3,1,2]=>1110=>4
[5,4,3,2,1]=>1111=>4
[1,2,3,4,5,6]=>00000=>5
[1,2,3,4,6,5]=>00001=>1
[1,2,3,5,4,6]=>00010=>2
[1,2,3,5,6,4]=>00001=>1
[1,2,3,6,4,5]=>00010=>2
[1,2,3,6,5,4]=>00011=>1
[1,2,4,3,5,6]=>00100=>3
[1,2,4,3,6,5]=>00101=>1
[1,2,4,5,3,6]=>00010=>2
[1,2,4,5,6,3]=>00001=>1
[1,2,4,6,3,5]=>00010=>2
[1,2,4,6,5,3]=>00011=>1
[1,2,5,3,4,6]=>00100=>3
[1,2,5,3,6,4]=>00101=>1
[1,2,5,4,3,6]=>00110=>2
[1,2,5,4,6,3]=>00101=>1
[1,2,5,6,3,4]=>00010=>2
[1,2,5,6,4,3]=>00011=>1
[1,2,6,3,4,5]=>00100=>3
[1,2,6,3,5,4]=>00101=>1
[1,2,6,4,3,5]=>00110=>2
[1,2,6,4,5,3]=>00101=>1
[1,2,6,5,3,4]=>00110=>2
[1,2,6,5,4,3]=>00111=>1
[1,3,2,4,5,6]=>01000=>4
[1,3,2,4,6,5]=>01001=>2
[1,3,2,5,4,6]=>01010=>3
[1,3,2,5,6,4]=>01001=>2
[1,3,2,6,4,5]=>01010=>3
[1,3,2,6,5,4]=>01011=>1
[1,3,4,2,5,6]=>00100=>3
[1,3,4,2,6,5]=>00101=>1
[1,3,4,5,2,6]=>00010=>2
[1,3,4,5,6,2]=>00001=>1
[1,3,4,6,2,5]=>00010=>2
[1,3,4,6,5,2]=>00011=>1
[1,3,5,2,4,6]=>00100=>3
[1,3,5,2,6,4]=>00101=>1
[1,3,5,4,2,6]=>00110=>2
[1,3,5,4,6,2]=>00101=>1
[1,3,5,6,2,4]=>00010=>2
[1,3,5,6,4,2]=>00011=>1
[1,3,6,2,4,5]=>00100=>3
[1,3,6,2,5,4]=>00101=>1
[1,3,6,4,2,5]=>00110=>2
[1,3,6,4,5,2]=>00101=>1
[1,3,6,5,2,4]=>00110=>2
[1,3,6,5,4,2]=>00111=>1
[1,4,2,3,5,6]=>01000=>4
[1,4,2,3,6,5]=>01001=>2
[1,4,2,5,3,6]=>01010=>3
[1,4,2,5,6,3]=>01001=>2
[1,4,2,6,3,5]=>01010=>3
[1,4,2,6,5,3]=>01011=>1
[1,4,3,2,5,6]=>01100=>3
[1,4,3,2,6,5]=>01101=>2
[1,4,3,5,2,6]=>01010=>3
[1,4,3,5,6,2]=>01001=>2
[1,4,3,6,2,5]=>01010=>3
[1,4,3,6,5,2]=>01011=>1
[1,4,5,2,3,6]=>00100=>3
[1,4,5,2,6,3]=>00101=>1
[1,4,5,3,2,6]=>00110=>2
[1,4,5,3,6,2]=>00101=>1
[1,4,5,6,2,3]=>00010=>2
[1,4,5,6,3,2]=>00011=>1
[1,4,6,2,3,5]=>00100=>3
[1,4,6,2,5,3]=>00101=>1
[1,4,6,3,2,5]=>00110=>2
[1,4,6,3,5,2]=>00101=>1
[1,4,6,5,2,3]=>00110=>2
[1,4,6,5,3,2]=>00111=>1
[1,5,2,3,4,6]=>01000=>4
[1,5,2,3,6,4]=>01001=>2
[1,5,2,4,3,6]=>01010=>3
[1,5,2,4,6,3]=>01001=>2
[1,5,2,6,3,4]=>01010=>3
[1,5,2,6,4,3]=>01011=>1
[1,5,3,2,4,6]=>01100=>3
[1,5,3,2,6,4]=>01101=>2
[1,5,3,4,2,6]=>01010=>3
[1,5,3,4,6,2]=>01001=>2
[1,5,3,6,2,4]=>01010=>3
[1,5,3,6,4,2]=>01011=>1
[1,5,4,2,3,6]=>01100=>3
[1,5,4,2,6,3]=>01101=>2
[1,5,4,3,2,6]=>01110=>2
[1,5,4,3,6,2]=>01101=>2
[1,5,4,6,2,3]=>01010=>3
[1,5,4,6,3,2]=>01011=>1
[1,5,6,2,3,4]=>00100=>3
[1,5,6,2,4,3]=>00101=>1
[1,5,6,3,2,4]=>00110=>2
[1,5,6,3,4,2]=>00101=>1
[1,5,6,4,2,3]=>00110=>2
[1,5,6,4,3,2]=>00111=>1
[1,6,2,3,4,5]=>01000=>4
[1,6,2,3,5,4]=>01001=>2
[1,6,2,4,3,5]=>01010=>3
[1,6,2,4,5,3]=>01001=>2
[1,6,2,5,3,4]=>01010=>3
[1,6,2,5,4,3]=>01011=>1
[1,6,3,2,4,5]=>01100=>3
[1,6,3,2,5,4]=>01101=>2
[1,6,3,4,2,5]=>01010=>3
[1,6,3,4,5,2]=>01001=>2
[1,6,3,5,2,4]=>01010=>3
[1,6,3,5,4,2]=>01011=>1
[1,6,4,2,3,5]=>01100=>3
[1,6,4,2,5,3]=>01101=>2
[1,6,4,3,2,5]=>01110=>2
[1,6,4,3,5,2]=>01101=>2
[1,6,4,5,2,3]=>01010=>3
[1,6,4,5,3,2]=>01011=>1
[1,6,5,2,3,4]=>01100=>3
[1,6,5,2,4,3]=>01101=>2
[1,6,5,3,2,4]=>01110=>2
[1,6,5,3,4,2]=>01101=>2
[1,6,5,4,2,3]=>01110=>2
[1,6,5,4,3,2]=>01111=>1
[2,1,3,4,5,6]=>10000=>5
[2,1,3,4,6,5]=>10001=>4
[2,1,3,5,4,6]=>10010=>4
[2,1,3,5,6,4]=>10001=>4
[2,1,3,6,4,5]=>10010=>4
[2,1,3,6,5,4]=>10011=>3
[2,1,4,3,5,6]=>10100=>5
[2,1,4,3,6,5]=>10101=>3
[2,1,4,5,3,6]=>10010=>4
[2,1,4,5,6,3]=>10001=>4
[2,1,4,6,3,5]=>10010=>4
[2,1,4,6,5,3]=>10011=>3
[2,1,5,3,4,6]=>10100=>5
[2,1,5,3,6,4]=>10101=>3
[2,1,5,4,3,6]=>10110=>4
[2,1,5,4,6,3]=>10101=>3
[2,1,5,6,3,4]=>10010=>4
[2,1,5,6,4,3]=>10011=>3
[2,1,6,3,4,5]=>10100=>5
[2,1,6,3,5,4]=>10101=>3
[2,1,6,4,3,5]=>10110=>4
[2,1,6,4,5,3]=>10101=>3
[2,1,6,5,3,4]=>10110=>4
[2,1,6,5,4,3]=>10111=>2
[2,3,1,4,5,6]=>01000=>4
[2,3,1,4,6,5]=>01001=>2
[2,3,1,5,4,6]=>01010=>3
[2,3,1,5,6,4]=>01001=>2
[2,3,1,6,4,5]=>01010=>3
[2,3,1,6,5,4]=>01011=>1
[2,3,4,1,5,6]=>00100=>3
[2,3,4,1,6,5]=>00101=>1
[2,3,4,5,1,6]=>00010=>2
[2,3,4,5,6,1]=>00001=>1
[2,3,4,6,1,5]=>00010=>2
[2,3,4,6,5,1]=>00011=>1
[2,3,5,1,4,6]=>00100=>3
[2,3,5,1,6,4]=>00101=>1
[2,3,5,4,1,6]=>00110=>2
[2,3,5,4,6,1]=>00101=>1
[2,3,5,6,1,4]=>00010=>2
[2,3,5,6,4,1]=>00011=>1
[2,3,6,1,4,5]=>00100=>3
[2,3,6,1,5,4]=>00101=>1
[2,3,6,4,1,5]=>00110=>2
[2,3,6,4,5,1]=>00101=>1
[2,3,6,5,1,4]=>00110=>2
[2,3,6,5,4,1]=>00111=>1
[2,4,1,3,5,6]=>01000=>4
[2,4,1,3,6,5]=>01001=>2
[2,4,1,5,3,6]=>01010=>3
[2,4,1,5,6,3]=>01001=>2
[2,4,1,6,3,5]=>01010=>3
[2,4,1,6,5,3]=>01011=>1
[2,4,3,1,5,6]=>01100=>3
[2,4,3,1,6,5]=>01101=>2
[2,4,3,5,1,6]=>01010=>3
[2,4,3,5,6,1]=>01001=>2
[2,4,3,6,1,5]=>01010=>3
[2,4,3,6,5,1]=>01011=>1
[2,4,5,1,3,6]=>00100=>3
[2,4,5,1,6,3]=>00101=>1
[2,4,5,3,1,6]=>00110=>2
[2,4,5,3,6,1]=>00101=>1
[2,4,5,6,1,3]=>00010=>2
[2,4,5,6,3,1]=>00011=>1
[2,4,6,1,3,5]=>00100=>3
[2,4,6,1,5,3]=>00101=>1
[2,4,6,3,1,5]=>00110=>2
[2,4,6,3,5,1]=>00101=>1
[2,4,6,5,1,3]=>00110=>2
[2,4,6,5,3,1]=>00111=>1
[2,5,1,3,4,6]=>01000=>4
[2,5,1,3,6,4]=>01001=>2
[2,5,1,4,3,6]=>01010=>3
[2,5,1,4,6,3]=>01001=>2
[2,5,1,6,3,4]=>01010=>3
[2,5,1,6,4,3]=>01011=>1
[2,5,3,1,4,6]=>01100=>3
[2,5,3,1,6,4]=>01101=>2
[2,5,3,4,1,6]=>01010=>3
[2,5,3,4,6,1]=>01001=>2
[2,5,3,6,1,4]=>01010=>3
[2,5,3,6,4,1]=>01011=>1
[2,5,4,1,3,6]=>01100=>3
[2,5,4,1,6,3]=>01101=>2
[2,5,4,3,1,6]=>01110=>2
[2,5,4,3,6,1]=>01101=>2
[2,5,4,6,1,3]=>01010=>3
[2,5,4,6,3,1]=>01011=>1
[2,5,6,1,3,4]=>00100=>3
[2,5,6,1,4,3]=>00101=>1
[2,5,6,3,1,4]=>00110=>2
[2,5,6,3,4,1]=>00101=>1
[2,5,6,4,1,3]=>00110=>2
[2,5,6,4,3,1]=>00111=>1
[2,6,1,3,4,5]=>01000=>4
[2,6,1,3,5,4]=>01001=>2
[2,6,1,4,3,5]=>01010=>3
[2,6,1,4,5,3]=>01001=>2
[2,6,1,5,3,4]=>01010=>3
[2,6,1,5,4,3]=>01011=>1
[2,6,3,1,4,5]=>01100=>3
[2,6,3,1,5,4]=>01101=>2
[2,6,3,4,1,5]=>01010=>3
[2,6,3,4,5,1]=>01001=>2
[2,6,3,5,1,4]=>01010=>3
[2,6,3,5,4,1]=>01011=>1
[2,6,4,1,3,5]=>01100=>3
[2,6,4,1,5,3]=>01101=>2
[2,6,4,3,1,5]=>01110=>2
[2,6,4,3,5,1]=>01101=>2
[2,6,4,5,1,3]=>01010=>3
[2,6,4,5,3,1]=>01011=>1
[2,6,5,1,3,4]=>01100=>3
[2,6,5,1,4,3]=>01101=>2
[2,6,5,3,1,4]=>01110=>2
[2,6,5,3,4,1]=>01101=>2
[2,6,5,4,1,3]=>01110=>2
[2,6,5,4,3,1]=>01111=>1
[3,1,2,4,5,6]=>10000=>5
[3,1,2,4,6,5]=>10001=>4
[3,1,2,5,4,6]=>10010=>4
[3,1,2,5,6,4]=>10001=>4
[3,1,2,6,4,5]=>10010=>4
[3,1,2,6,5,4]=>10011=>3
[3,1,4,2,5,6]=>10100=>5
[3,1,4,2,6,5]=>10101=>3
[3,1,4,5,2,6]=>10010=>4
[3,1,4,5,6,2]=>10001=>4
[3,1,4,6,2,5]=>10010=>4
[3,1,4,6,5,2]=>10011=>3
[3,1,5,2,4,6]=>10100=>5
[3,1,5,2,6,4]=>10101=>3
[3,1,5,4,2,6]=>10110=>4
[3,1,5,4,6,2]=>10101=>3
[3,1,5,6,2,4]=>10010=>4
[3,1,5,6,4,2]=>10011=>3
[3,1,6,2,4,5]=>10100=>5
[3,1,6,2,5,4]=>10101=>3
[3,1,6,4,2,5]=>10110=>4
[3,1,6,4,5,2]=>10101=>3
[3,1,6,5,2,4]=>10110=>4
[3,1,6,5,4,2]=>10111=>2
[3,2,1,4,5,6]=>11000=>5
[3,2,1,4,6,5]=>11001=>4
[3,2,1,5,4,6]=>11010=>5
[3,2,1,5,6,4]=>11001=>4
[3,2,1,6,4,5]=>11010=>5
[3,2,1,6,5,4]=>11011=>3
[3,2,4,1,5,6]=>10100=>5
[3,2,4,1,6,5]=>10101=>3
[3,2,4,5,1,6]=>10010=>4
[3,2,4,5,6,1]=>10001=>4
[3,2,4,6,1,5]=>10010=>4
[3,2,4,6,5,1]=>10011=>3
[3,2,5,1,4,6]=>10100=>5
[3,2,5,1,6,4]=>10101=>3
[3,2,5,4,1,6]=>10110=>4
[3,2,5,4,6,1]=>10101=>3
[3,2,5,6,1,4]=>10010=>4
[3,2,5,6,4,1]=>10011=>3
[3,2,6,1,4,5]=>10100=>5
[3,2,6,1,5,4]=>10101=>3
[3,2,6,4,1,5]=>10110=>4
[3,2,6,4,5,1]=>10101=>3
[3,2,6,5,1,4]=>10110=>4
[3,2,6,5,4,1]=>10111=>2
[3,4,1,2,5,6]=>01000=>4
[3,4,1,2,6,5]=>01001=>2
[3,4,1,5,2,6]=>01010=>3
[3,4,1,5,6,2]=>01001=>2
[3,4,1,6,2,5]=>01010=>3
[3,4,1,6,5,2]=>01011=>1
[3,4,2,1,5,6]=>01100=>3
[3,4,2,1,6,5]=>01101=>2
[3,4,2,5,1,6]=>01010=>3
[3,4,2,5,6,1]=>01001=>2
[3,4,2,6,1,5]=>01010=>3
[3,4,2,6,5,1]=>01011=>1
[3,4,5,1,2,6]=>00100=>3
[3,4,5,1,6,2]=>00101=>1
[3,4,5,2,1,6]=>00110=>2
[3,4,5,2,6,1]=>00101=>1
[3,4,5,6,1,2]=>00010=>2
[3,4,5,6,2,1]=>00011=>1
[3,4,6,1,2,5]=>00100=>3
[3,4,6,1,5,2]=>00101=>1
[3,4,6,2,1,5]=>00110=>2
[3,4,6,2,5,1]=>00101=>1
[3,4,6,5,1,2]=>00110=>2
[3,4,6,5,2,1]=>00111=>1
[3,5,1,2,4,6]=>01000=>4
[3,5,1,2,6,4]=>01001=>2
[3,5,1,4,2,6]=>01010=>3
[3,5,1,4,6,2]=>01001=>2
[3,5,1,6,2,4]=>01010=>3
[3,5,1,6,4,2]=>01011=>1
[3,5,2,1,4,6]=>01100=>3
[3,5,2,1,6,4]=>01101=>2
[3,5,2,4,1,6]=>01010=>3
[3,5,2,4,6,1]=>01001=>2
[3,5,2,6,1,4]=>01010=>3
[3,5,2,6,4,1]=>01011=>1
[3,5,4,1,2,6]=>01100=>3
[3,5,4,1,6,2]=>01101=>2
[3,5,4,2,1,6]=>01110=>2
[3,5,4,2,6,1]=>01101=>2
[3,5,4,6,1,2]=>01010=>3
[3,5,4,6,2,1]=>01011=>1
[3,5,6,1,2,4]=>00100=>3
[3,5,6,1,4,2]=>00101=>1
[3,5,6,2,1,4]=>00110=>2
[3,5,6,2,4,1]=>00101=>1
[3,5,6,4,1,2]=>00110=>2
[3,5,6,4,2,1]=>00111=>1
[3,6,1,2,4,5]=>01000=>4
[3,6,1,2,5,4]=>01001=>2
[3,6,1,4,2,5]=>01010=>3
[3,6,1,4,5,2]=>01001=>2
[3,6,1,5,2,4]=>01010=>3
[3,6,1,5,4,2]=>01011=>1
[3,6,2,1,4,5]=>01100=>3
[3,6,2,1,5,4]=>01101=>2
[3,6,2,4,1,5]=>01010=>3
[3,6,2,4,5,1]=>01001=>2
[3,6,2,5,1,4]=>01010=>3
[3,6,2,5,4,1]=>01011=>1
[3,6,4,1,2,5]=>01100=>3
[3,6,4,1,5,2]=>01101=>2
[3,6,4,2,1,5]=>01110=>2
[3,6,4,2,5,1]=>01101=>2
[3,6,4,5,1,2]=>01010=>3
[3,6,4,5,2,1]=>01011=>1
[3,6,5,1,2,4]=>01100=>3
[3,6,5,1,4,2]=>01101=>2
[3,6,5,2,1,4]=>01110=>2
[3,6,5,2,4,1]=>01101=>2
[3,6,5,4,1,2]=>01110=>2
[3,6,5,4,2,1]=>01111=>1
[4,1,2,3,5,6]=>10000=>5
[4,1,2,3,6,5]=>10001=>4
[4,1,2,5,3,6]=>10010=>4
[4,1,2,5,6,3]=>10001=>4
[4,1,2,6,3,5]=>10010=>4
[4,1,2,6,5,3]=>10011=>3
[4,1,3,2,5,6]=>10100=>5
[4,1,3,2,6,5]=>10101=>3
[4,1,3,5,2,6]=>10010=>4
[4,1,3,5,6,2]=>10001=>4
[4,1,3,6,2,5]=>10010=>4
[4,1,3,6,5,2]=>10011=>3
[4,1,5,2,3,6]=>10100=>5
[4,1,5,2,6,3]=>10101=>3
[4,1,5,3,2,6]=>10110=>4
[4,1,5,3,6,2]=>10101=>3
[4,1,5,6,2,3]=>10010=>4
[4,1,5,6,3,2]=>10011=>3
[4,1,6,2,3,5]=>10100=>5
[4,1,6,2,5,3]=>10101=>3
[4,1,6,3,2,5]=>10110=>4
[4,1,6,3,5,2]=>10101=>3
[4,1,6,5,2,3]=>10110=>4
[4,1,6,5,3,2]=>10111=>2
[4,2,1,3,5,6]=>11000=>5
[4,2,1,3,6,5]=>11001=>4
[4,2,1,5,3,6]=>11010=>5
[4,2,1,5,6,3]=>11001=>4
[4,2,1,6,3,5]=>11010=>5
[4,2,1,6,5,3]=>11011=>3
[4,2,3,1,5,6]=>10100=>5
[4,2,3,1,6,5]=>10101=>3
[4,2,3,5,1,6]=>10010=>4
[4,2,3,5,6,1]=>10001=>4
[4,2,3,6,1,5]=>10010=>4
[4,2,3,6,5,1]=>10011=>3
[4,2,5,1,3,6]=>10100=>5
[4,2,5,1,6,3]=>10101=>3
[4,2,5,3,1,6]=>10110=>4
[4,2,5,3,6,1]=>10101=>3
[4,2,5,6,1,3]=>10010=>4
[4,2,5,6,3,1]=>10011=>3
[4,2,6,1,3,5]=>10100=>5
[4,2,6,1,5,3]=>10101=>3
[4,2,6,3,1,5]=>10110=>4
[4,2,6,3,5,1]=>10101=>3
[4,2,6,5,1,3]=>10110=>4
[4,2,6,5,3,1]=>10111=>2
[4,3,1,2,5,6]=>11000=>5
[4,3,1,2,6,5]=>11001=>4
[4,3,1,5,2,6]=>11010=>5
[4,3,1,5,6,2]=>11001=>4
[4,3,1,6,2,5]=>11010=>5
[4,3,1,6,5,2]=>11011=>3
[4,3,2,1,5,6]=>11100=>5
[4,3,2,1,6,5]=>11101=>4
[4,3,2,5,1,6]=>11010=>5
[4,3,2,5,6,1]=>11001=>4
[4,3,2,6,1,5]=>11010=>5
[4,3,2,6,5,1]=>11011=>3
[4,3,5,1,2,6]=>10100=>5
[4,3,5,1,6,2]=>10101=>3
[4,3,5,2,1,6]=>10110=>4
[4,3,5,2,6,1]=>10101=>3
[4,3,5,6,1,2]=>10010=>4
[4,3,5,6,2,1]=>10011=>3
[4,3,6,1,2,5]=>10100=>5
[4,3,6,1,5,2]=>10101=>3
[4,3,6,2,1,5]=>10110=>4
[4,3,6,2,5,1]=>10101=>3
[4,3,6,5,1,2]=>10110=>4
[4,3,6,5,2,1]=>10111=>2
[4,5,1,2,3,6]=>01000=>4
[4,5,1,2,6,3]=>01001=>2
[4,5,1,3,2,6]=>01010=>3
[4,5,1,3,6,2]=>01001=>2
[4,5,1,6,2,3]=>01010=>3
[4,5,1,6,3,2]=>01011=>1
[4,5,2,1,3,6]=>01100=>3
[4,5,2,1,6,3]=>01101=>2
[4,5,2,3,1,6]=>01010=>3
[4,5,2,3,6,1]=>01001=>2
[4,5,2,6,1,3]=>01010=>3
[4,5,2,6,3,1]=>01011=>1
[4,5,3,1,2,6]=>01100=>3
[4,5,3,1,6,2]=>01101=>2
[4,5,3,2,1,6]=>01110=>2
[4,5,3,2,6,1]=>01101=>2
[4,5,3,6,1,2]=>01010=>3
[4,5,3,6,2,1]=>01011=>1
[4,5,6,1,2,3]=>00100=>3
[4,5,6,1,3,2]=>00101=>1
[4,5,6,2,1,3]=>00110=>2
[4,5,6,2,3,1]=>00101=>1
[4,5,6,3,1,2]=>00110=>2
[4,5,6,3,2,1]=>00111=>1
[4,6,1,2,3,5]=>01000=>4
[4,6,1,2,5,3]=>01001=>2
[4,6,1,3,2,5]=>01010=>3
[4,6,1,3,5,2]=>01001=>2
[4,6,1,5,2,3]=>01010=>3
[4,6,1,5,3,2]=>01011=>1
[4,6,2,1,3,5]=>01100=>3
[4,6,2,1,5,3]=>01101=>2
[4,6,2,3,1,5]=>01010=>3
[4,6,2,3,5,1]=>01001=>2
[4,6,2,5,1,3]=>01010=>3
[4,6,2,5,3,1]=>01011=>1
[4,6,3,1,2,5]=>01100=>3
[4,6,3,1,5,2]=>01101=>2
[4,6,3,2,1,5]=>01110=>2
[4,6,3,2,5,1]=>01101=>2
[4,6,3,5,1,2]=>01010=>3
[4,6,3,5,2,1]=>01011=>1
[4,6,5,1,2,3]=>01100=>3
[4,6,5,1,3,2]=>01101=>2
[4,6,5,2,1,3]=>01110=>2
[4,6,5,2,3,1]=>01101=>2
[4,6,5,3,1,2]=>01110=>2
[4,6,5,3,2,1]=>01111=>1
[5,1,2,3,4,6]=>10000=>5
[5,1,2,3,6,4]=>10001=>4
[5,1,2,4,3,6]=>10010=>4
[5,1,2,4,6,3]=>10001=>4
[5,1,2,6,3,4]=>10010=>4
[5,1,2,6,4,3]=>10011=>3
[5,1,3,2,4,6]=>10100=>5
[5,1,3,2,6,4]=>10101=>3
[5,1,3,4,2,6]=>10010=>4
[5,1,3,4,6,2]=>10001=>4
[5,1,3,6,2,4]=>10010=>4
[5,1,3,6,4,2]=>10011=>3
[5,1,4,2,3,6]=>10100=>5
[5,1,4,2,6,3]=>10101=>3
[5,1,4,3,2,6]=>10110=>4
[5,1,4,3,6,2]=>10101=>3
[5,1,4,6,2,3]=>10010=>4
[5,1,4,6,3,2]=>10011=>3
[5,1,6,2,3,4]=>10100=>5
[5,1,6,2,4,3]=>10101=>3
[5,1,6,3,2,4]=>10110=>4
[5,1,6,3,4,2]=>10101=>3
[5,1,6,4,2,3]=>10110=>4
[5,1,6,4,3,2]=>10111=>2
[5,2,1,3,4,6]=>11000=>5
[5,2,1,3,6,4]=>11001=>4
[5,2,1,4,3,6]=>11010=>5
[5,2,1,4,6,3]=>11001=>4
[5,2,1,6,3,4]=>11010=>5
[5,2,1,6,4,3]=>11011=>3
[5,2,3,1,4,6]=>10100=>5
[5,2,3,1,6,4]=>10101=>3
[5,2,3,4,1,6]=>10010=>4
[5,2,3,4,6,1]=>10001=>4
[5,2,3,6,1,4]=>10010=>4
[5,2,3,6,4,1]=>10011=>3
[5,2,4,1,3,6]=>10100=>5
[5,2,4,1,6,3]=>10101=>3
[5,2,4,3,1,6]=>10110=>4
[5,2,4,3,6,1]=>10101=>3
[5,2,4,6,1,3]=>10010=>4
[5,2,4,6,3,1]=>10011=>3
[5,2,6,1,3,4]=>10100=>5
[5,2,6,1,4,3]=>10101=>3
[5,2,6,3,1,4]=>10110=>4
[5,2,6,3,4,1]=>10101=>3
[5,2,6,4,1,3]=>10110=>4
[5,2,6,4,3,1]=>10111=>2
[5,3,1,2,4,6]=>11000=>5
[5,3,1,2,6,4]=>11001=>4
[5,3,1,4,2,6]=>11010=>5
[5,3,1,4,6,2]=>11001=>4
[5,3,1,6,2,4]=>11010=>5
[5,3,1,6,4,2]=>11011=>3
[5,3,2,1,4,6]=>11100=>5
[5,3,2,1,6,4]=>11101=>4
[5,3,2,4,1,6]=>11010=>5
[5,3,2,4,6,1]=>11001=>4
[5,3,2,6,1,4]=>11010=>5
[5,3,2,6,4,1]=>11011=>3
[5,3,4,1,2,6]=>10100=>5
[5,3,4,1,6,2]=>10101=>3
[5,3,4,2,1,6]=>10110=>4
[5,3,4,2,6,1]=>10101=>3
[5,3,4,6,1,2]=>10010=>4
[5,3,4,6,2,1]=>10011=>3
[5,3,6,1,2,4]=>10100=>5
[5,3,6,1,4,2]=>10101=>3
[5,3,6,2,1,4]=>10110=>4
[5,3,6,2,4,1]=>10101=>3
[5,3,6,4,1,2]=>10110=>4
[5,3,6,4,2,1]=>10111=>2
[5,4,1,2,3,6]=>11000=>5
[5,4,1,2,6,3]=>11001=>4
[5,4,1,3,2,6]=>11010=>5
[5,4,1,3,6,2]=>11001=>4
[5,4,1,6,2,3]=>11010=>5
[5,4,1,6,3,2]=>11011=>3
[5,4,2,1,3,6]=>11100=>5
[5,4,2,1,6,3]=>11101=>4
[5,4,2,3,1,6]=>11010=>5
[5,4,2,3,6,1]=>11001=>4
[5,4,2,6,1,3]=>11010=>5
[5,4,2,6,3,1]=>11011=>3
[5,4,3,1,2,6]=>11100=>5
[5,4,3,1,6,2]=>11101=>4
[5,4,3,2,1,6]=>11110=>5
[5,4,3,2,6,1]=>11101=>4
[5,4,3,6,1,2]=>11010=>5
[5,4,3,6,2,1]=>11011=>3
[5,4,6,1,2,3]=>10100=>5
[5,4,6,1,3,2]=>10101=>3
[5,4,6,2,1,3]=>10110=>4
[5,4,6,2,3,1]=>10101=>3
[5,4,6,3,1,2]=>10110=>4
[5,4,6,3,2,1]=>10111=>2
[5,6,1,2,3,4]=>01000=>4
[5,6,1,2,4,3]=>01001=>2
[5,6,1,3,2,4]=>01010=>3
[5,6,1,3,4,2]=>01001=>2
[5,6,1,4,2,3]=>01010=>3
[5,6,1,4,3,2]=>01011=>1
[5,6,2,1,3,4]=>01100=>3
[5,6,2,1,4,3]=>01101=>2
[5,6,2,3,1,4]=>01010=>3
[5,6,2,3,4,1]=>01001=>2
[5,6,2,4,1,3]=>01010=>3
[5,6,2,4,3,1]=>01011=>1
[5,6,3,1,2,4]=>01100=>3
[5,6,3,1,4,2]=>01101=>2
[5,6,3,2,1,4]=>01110=>2
[5,6,3,2,4,1]=>01101=>2
[5,6,3,4,1,2]=>01010=>3
[5,6,3,4,2,1]=>01011=>1
[5,6,4,1,2,3]=>01100=>3
[5,6,4,1,3,2]=>01101=>2
[5,6,4,2,1,3]=>01110=>2
[5,6,4,2,3,1]=>01101=>2
[5,6,4,3,1,2]=>01110=>2
[5,6,4,3,2,1]=>01111=>1
[6,1,2,3,4,5]=>10000=>5
[6,1,2,3,5,4]=>10001=>4
[6,1,2,4,3,5]=>10010=>4
[6,1,2,4,5,3]=>10001=>4
[6,1,2,5,3,4]=>10010=>4
[6,1,2,5,4,3]=>10011=>3
[6,1,3,2,4,5]=>10100=>5
[6,1,3,2,5,4]=>10101=>3
[6,1,3,4,2,5]=>10010=>4
[6,1,3,4,5,2]=>10001=>4
[6,1,3,5,2,4]=>10010=>4
[6,1,3,5,4,2]=>10011=>3
[6,1,4,2,3,5]=>10100=>5
[6,1,4,2,5,3]=>10101=>3
[6,1,4,3,2,5]=>10110=>4
[6,1,4,3,5,2]=>10101=>3
[6,1,4,5,2,3]=>10010=>4
[6,1,4,5,3,2]=>10011=>3
[6,1,5,2,3,4]=>10100=>5
[6,1,5,2,4,3]=>10101=>3
[6,1,5,3,2,4]=>10110=>4
[6,1,5,3,4,2]=>10101=>3
[6,1,5,4,2,3]=>10110=>4
[6,1,5,4,3,2]=>10111=>2
[6,2,1,3,4,5]=>11000=>5
[6,2,1,3,5,4]=>11001=>4
[6,2,1,4,3,5]=>11010=>5
[6,2,1,4,5,3]=>11001=>4
[6,2,1,5,3,4]=>11010=>5
[6,2,1,5,4,3]=>11011=>3
[6,2,3,1,4,5]=>10100=>5
[6,2,3,1,5,4]=>10101=>3
[6,2,3,4,1,5]=>10010=>4
[6,2,3,4,5,1]=>10001=>4
[6,2,3,5,1,4]=>10010=>4
[6,2,3,5,4,1]=>10011=>3
[6,2,4,1,3,5]=>10100=>5
[6,2,4,1,5,3]=>10101=>3
[6,2,4,3,1,5]=>10110=>4
[6,2,4,3,5,1]=>10101=>3
[6,2,4,5,1,3]=>10010=>4
[6,2,4,5,3,1]=>10011=>3
[6,2,5,1,3,4]=>10100=>5
[6,2,5,1,4,3]=>10101=>3
[6,2,5,3,1,4]=>10110=>4
[6,2,5,3,4,1]=>10101=>3
[6,2,5,4,1,3]=>10110=>4
[6,2,5,4,3,1]=>10111=>2
[6,3,1,2,4,5]=>11000=>5
[6,3,1,2,5,4]=>11001=>4
[6,3,1,4,2,5]=>11010=>5
[6,3,1,4,5,2]=>11001=>4
[6,3,1,5,2,4]=>11010=>5
[6,3,1,5,4,2]=>11011=>3
[6,3,2,1,4,5]=>11100=>5
[6,3,2,1,5,4]=>11101=>4
[6,3,2,4,1,5]=>11010=>5
[6,3,2,4,5,1]=>11001=>4
[6,3,2,5,1,4]=>11010=>5
[6,3,2,5,4,1]=>11011=>3
[6,3,4,1,2,5]=>10100=>5
[6,3,4,1,5,2]=>10101=>3
[6,3,4,2,1,5]=>10110=>4
[6,3,4,2,5,1]=>10101=>3
[6,3,4,5,1,2]=>10010=>4
[6,3,4,5,2,1]=>10011=>3
[6,3,5,1,2,4]=>10100=>5
[6,3,5,1,4,2]=>10101=>3
[6,3,5,2,1,4]=>10110=>4
[6,3,5,2,4,1]=>10101=>3
[6,3,5,4,1,2]=>10110=>4
[6,3,5,4,2,1]=>10111=>2
[6,4,1,2,3,5]=>11000=>5
[6,4,1,2,5,3]=>11001=>4
[6,4,1,3,2,5]=>11010=>5
[6,4,1,3,5,2]=>11001=>4
[6,4,1,5,2,3]=>11010=>5
[6,4,1,5,3,2]=>11011=>3
[6,4,2,1,3,5]=>11100=>5
[6,4,2,1,5,3]=>11101=>4
[6,4,2,3,1,5]=>11010=>5
[6,4,2,3,5,1]=>11001=>4
[6,4,2,5,1,3]=>11010=>5
[6,4,2,5,3,1]=>11011=>3
[6,4,3,1,2,5]=>11100=>5
[6,4,3,1,5,2]=>11101=>4
[6,4,3,2,1,5]=>11110=>5
[6,4,3,2,5,1]=>11101=>4
[6,4,3,5,1,2]=>11010=>5
[6,4,3,5,2,1]=>11011=>3
[6,4,5,1,2,3]=>10100=>5
[6,4,5,1,3,2]=>10101=>3
[6,4,5,2,1,3]=>10110=>4
[6,4,5,2,3,1]=>10101=>3
[6,4,5,3,1,2]=>10110=>4
[6,4,5,3,2,1]=>10111=>2
[6,5,1,2,3,4]=>11000=>5
[6,5,1,2,4,3]=>11001=>4
[6,5,1,3,2,4]=>11010=>5
[6,5,1,3,4,2]=>11001=>4
[6,5,1,4,2,3]=>11010=>5
[6,5,1,4,3,2]=>11011=>3
[6,5,2,1,3,4]=>11100=>5
[6,5,2,1,4,3]=>11101=>4
[6,5,2,3,1,4]=>11010=>5
[6,5,2,3,4,1]=>11001=>4
[6,5,2,4,1,3]=>11010=>5
[6,5,2,4,3,1]=>11011=>3
[6,5,3,1,2,4]=>11100=>5
[6,5,3,1,4,2]=>11101=>4
[6,5,3,2,1,4]=>11110=>5
[6,5,3,2,4,1]=>11101=>4
[6,5,3,4,1,2]=>11010=>5
[6,5,3,4,2,1]=>11011=>3
[6,5,4,1,2,3]=>11100=>5
[6,5,4,1,3,2]=>11101=>4
[6,5,4,2,1,3]=>11110=>5
[6,5,4,2,3,1]=>11101=>4
[6,5,4,3,1,2]=>11110=>5
[6,5,4,3,2,1]=>11111=>5
[1,2,3,4,5,6,7]=>000000=>6
[1,2,3,4,5,7,6]=>000001=>1
[1,2,3,4,6,5,7]=>000010=>2
[1,2,3,4,6,7,5]=>000001=>1
[1,2,3,4,7,5,6]=>000010=>2
[1,2,3,4,7,6,5]=>000011=>1
[1,2,3,5,4,6,7]=>000100=>3
[1,2,3,5,4,7,6]=>000101=>1
[1,2,3,5,6,4,7]=>000010=>2
[1,2,3,5,6,7,4]=>000001=>1
[1,2,3,5,7,4,6]=>000010=>2
[1,2,3,5,7,6,4]=>000011=>1
[1,2,3,6,4,5,7]=>000100=>3
[1,2,3,6,4,7,5]=>000101=>1
[1,2,3,6,5,4,7]=>000110=>2
[1,2,3,6,5,7,4]=>000101=>1
[1,2,3,6,7,4,5]=>000010=>2
[1,2,3,6,7,5,4]=>000011=>1
[1,2,3,7,4,5,6]=>000100=>3
[1,2,3,7,4,6,5]=>000101=>1
[1,2,3,7,5,4,6]=>000110=>2
[1,2,3,7,5,6,4]=>000101=>1
[1,2,3,7,6,4,5]=>000110=>2
[1,2,3,7,6,5,4]=>000111=>1
[1,2,4,3,5,6,7]=>001000=>4
[1,2,4,3,5,7,6]=>001001=>2
[1,2,4,3,6,5,7]=>001010=>2
[1,2,4,3,6,7,5]=>001001=>2
[1,2,4,3,7,5,6]=>001010=>2
[1,2,4,3,7,6,5]=>001011=>1
[1,2,4,5,3,6,7]=>000100=>3
[1,2,4,5,3,7,6]=>000101=>1
[1,2,4,5,6,3,7]=>000010=>2
[1,2,4,5,6,7,3]=>000001=>1
[1,2,4,5,7,3,6]=>000010=>2
[1,2,4,5,7,6,3]=>000011=>1
[1,2,4,6,3,5,7]=>000100=>3
[1,2,4,6,3,7,5]=>000101=>1
[1,2,4,6,5,3,7]=>000110=>2
[1,2,4,6,5,7,3]=>000101=>1
[1,2,4,6,7,3,5]=>000010=>2
[1,2,4,6,7,5,3]=>000011=>1
[1,2,4,7,3,5,6]=>000100=>3
[1,2,4,7,3,6,5]=>000101=>1
[1,2,4,7,5,3,6]=>000110=>2
[1,2,4,7,5,6,3]=>000101=>1
[1,2,4,7,6,3,5]=>000110=>2
[1,2,4,7,6,5,3]=>000111=>1
[1,2,5,3,4,6,7]=>001000=>4
[1,2,5,3,4,7,6]=>001001=>2
[1,2,5,3,6,4,7]=>001010=>2
[1,2,5,3,6,7,4]=>001001=>2
[1,2,5,3,7,4,6]=>001010=>2
[1,2,5,3,7,6,4]=>001011=>1
[1,2,5,4,3,6,7]=>001100=>3
[1,2,5,4,3,7,6]=>001101=>1
[1,2,5,4,6,3,7]=>001010=>2
[1,2,5,4,6,7,3]=>001001=>2
[1,2,5,4,7,3,6]=>001010=>2
[1,2,5,4,7,6,3]=>001011=>1
[1,2,5,6,3,4,7]=>000100=>3
[1,2,5,6,3,7,4]=>000101=>1
[1,2,5,6,4,3,7]=>000110=>2
[1,2,5,6,4,7,3]=>000101=>1
[1,2,5,6,7,3,4]=>000010=>2
[1,2,5,6,7,4,3]=>000011=>1
[1,2,5,7,3,4,6]=>000100=>3
[1,2,5,7,3,6,4]=>000101=>1
[1,2,5,7,4,3,6]=>000110=>2
[1,2,5,7,4,6,3]=>000101=>1
[1,2,5,7,6,3,4]=>000110=>2
[1,2,5,7,6,4,3]=>000111=>1
[1,2,6,3,4,5,7]=>001000=>4
[1,2,6,3,4,7,5]=>001001=>2
[1,2,6,3,5,4,7]=>001010=>2
[1,2,6,3,5,7,4]=>001001=>2
[1,2,6,3,7,4,5]=>001010=>2
[1,2,6,3,7,5,4]=>001011=>1
[1,2,6,4,3,5,7]=>001100=>3
[1,2,6,4,3,7,5]=>001101=>1
[1,2,6,4,5,3,7]=>001010=>2
[1,2,6,4,5,7,3]=>001001=>2
[1,2,6,4,7,3,5]=>001010=>2
[1,2,6,4,7,5,3]=>001011=>1
[1,2,6,5,3,4,7]=>001100=>3
[1,2,6,5,3,7,4]=>001101=>1
[1,2,6,5,4,3,7]=>001110=>2
[1,2,6,5,4,7,3]=>001101=>1
[1,2,6,5,7,3,4]=>001010=>2
[1,2,6,5,7,4,3]=>001011=>1
[1,2,6,7,3,4,5]=>000100=>3
[1,2,6,7,3,5,4]=>000101=>1
[1,2,6,7,4,3,5]=>000110=>2
[1,2,6,7,4,5,3]=>000101=>1
[1,2,6,7,5,3,4]=>000110=>2
[1,2,6,7,5,4,3]=>000111=>1
[1,2,7,3,4,5,6]=>001000=>4
[1,2,7,3,4,6,5]=>001001=>2
[1,2,7,3,5,4,6]=>001010=>2
[1,2,7,3,5,6,4]=>001001=>2
[1,2,7,3,6,4,5]=>001010=>2
[1,2,7,3,6,5,4]=>001011=>1
[1,2,7,4,3,5,6]=>001100=>3
[1,2,7,4,3,6,5]=>001101=>1
[1,2,7,4,5,3,6]=>001010=>2
[1,2,7,4,5,6,3]=>001001=>2
[1,2,7,4,6,3,5]=>001010=>2
[1,2,7,4,6,5,3]=>001011=>1
[1,2,7,5,3,4,6]=>001100=>3
[1,2,7,5,3,6,4]=>001101=>1
[1,2,7,5,4,3,6]=>001110=>2
[1,2,7,5,4,6,3]=>001101=>1
[1,2,7,5,6,3,4]=>001010=>2
[1,2,7,5,6,4,3]=>001011=>1
[1,2,7,6,3,4,5]=>001100=>3
[1,2,7,6,3,5,4]=>001101=>1
[1,2,7,6,4,3,5]=>001110=>2
[1,2,7,6,4,5,3]=>001101=>1
[1,2,7,6,5,3,4]=>001110=>2
[1,2,7,6,5,4,3]=>001111=>1
[1,3,2,4,5,6,7]=>010000=>5
[1,3,2,4,5,7,6]=>010001=>3
[1,3,2,4,6,5,7]=>010010=>4
[1,3,2,4,6,7,5]=>010001=>3
[1,3,2,4,7,5,6]=>010010=>4
[1,3,2,4,7,6,5]=>010011=>2
[1,3,2,5,4,6,7]=>010100=>4
[1,3,2,5,4,7,6]=>010101=>3
[1,3,2,5,6,4,7]=>010010=>4
[1,3,2,5,6,7,4]=>010001=>3
[1,3,2,5,7,4,6]=>010010=>4
[1,3,2,5,7,6,4]=>010011=>2
[1,3,2,6,4,5,7]=>010100=>4
[1,3,2,6,4,7,5]=>010101=>3
[1,3,2,6,5,4,7]=>010110=>2
[1,3,2,6,5,7,4]=>010101=>3
[1,3,2,6,7,4,5]=>010010=>4
[1,3,2,6,7,5,4]=>010011=>2
[1,3,2,7,4,5,6]=>010100=>4
[1,3,2,7,4,6,5]=>010101=>3
[1,3,2,7,5,4,6]=>010110=>2
[1,3,2,7,5,6,4]=>010101=>3
[1,3,2,7,6,4,5]=>010110=>2
[1,3,2,7,6,5,4]=>010111=>1
[1,3,4,2,5,6,7]=>001000=>4
[1,3,4,2,5,7,6]=>001001=>2
[1,3,4,2,6,5,7]=>001010=>2
[1,3,4,2,6,7,5]=>001001=>2
[1,3,4,2,7,5,6]=>001010=>2
[1,3,4,2,7,6,5]=>001011=>1
[1,3,4,5,2,6,7]=>000100=>3
[1,3,4,5,2,7,6]=>000101=>1
[1,3,4,5,6,2,7]=>000010=>2
[1,3,4,5,6,7,2]=>000001=>1
[1,3,4,5,7,2,6]=>000010=>2
[1,3,4,5,7,6,2]=>000011=>1
[1,3,4,6,2,5,7]=>000100=>3
[1,3,4,6,2,7,5]=>000101=>1
[1,3,4,6,5,2,7]=>000110=>2
[1,3,4,6,5,7,2]=>000101=>1
[1,3,4,6,7,2,5]=>000010=>2
[1,3,4,6,7,5,2]=>000011=>1
[1,3,4,7,2,5,6]=>000100=>3
[1,3,4,7,2,6,5]=>000101=>1
[1,3,4,7,5,2,6]=>000110=>2
[1,3,4,7,5,6,2]=>000101=>1
[1,3,4,7,6,2,5]=>000110=>2
[1,3,4,7,6,5,2]=>000111=>1
[1,3,5,2,4,6,7]=>001000=>4
[1,3,5,2,4,7,6]=>001001=>2
[1,3,5,2,6,4,7]=>001010=>2
[1,3,5,2,6,7,4]=>001001=>2
[1,3,5,2,7,4,6]=>001010=>2
[1,3,5,2,7,6,4]=>001011=>1
[1,3,5,4,2,6,7]=>001100=>3
[1,3,5,4,2,7,6]=>001101=>1
[1,3,5,4,6,2,7]=>001010=>2
[1,3,5,4,6,7,2]=>001001=>2
[1,3,5,4,7,2,6]=>001010=>2
[1,3,5,4,7,6,2]=>001011=>1
[1,3,5,6,2,4,7]=>000100=>3
[1,3,5,6,2,7,4]=>000101=>1
[1,3,5,6,4,2,7]=>000110=>2
[1,3,5,6,4,7,2]=>000101=>1
[1,3,5,6,7,2,4]=>000010=>2
[1,3,5,6,7,4,2]=>000011=>1
[1,3,5,7,2,4,6]=>000100=>3
[1,3,5,7,2,6,4]=>000101=>1
[1,3,5,7,4,2,6]=>000110=>2
[1,3,5,7,4,6,2]=>000101=>1
[1,3,5,7,6,2,4]=>000110=>2
[1,3,5,7,6,4,2]=>000111=>1
[1,3,6,2,4,5,7]=>001000=>4
[1,3,6,2,4,7,5]=>001001=>2
[1,3,6,2,5,4,7]=>001010=>2
[1,3,6,2,5,7,4]=>001001=>2
[1,3,6,2,7,4,5]=>001010=>2
[1,3,6,2,7,5,4]=>001011=>1
[1,3,6,4,2,5,7]=>001100=>3
[1,3,6,4,2,7,5]=>001101=>1
[1,3,6,4,5,2,7]=>001010=>2
[1,3,6,4,5,7,2]=>001001=>2
[1,3,6,4,7,2,5]=>001010=>2
[1,3,6,4,7,5,2]=>001011=>1
[1,3,6,5,2,4,7]=>001100=>3
[1,3,6,5,2,7,4]=>001101=>1
[1,3,6,5,4,2,7]=>001110=>2
[1,3,6,5,4,7,2]=>001101=>1
[1,3,6,5,7,2,4]=>001010=>2
[1,3,6,5,7,4,2]=>001011=>1
[1,3,6,7,2,4,5]=>000100=>3
[1,3,6,7,2,5,4]=>000101=>1
[1,3,6,7,4,2,5]=>000110=>2
[1,3,6,7,4,5,2]=>000101=>1
[1,3,6,7,5,2,4]=>000110=>2
[1,3,6,7,5,4,2]=>000111=>1
[1,3,7,2,4,5,6]=>001000=>4
[1,3,7,2,4,6,5]=>001001=>2
[1,3,7,2,5,4,6]=>001010=>2
[1,3,7,2,5,6,4]=>001001=>2
[1,3,7,2,6,4,5]=>001010=>2
[1,3,7,2,6,5,4]=>001011=>1
[1,3,7,4,2,5,6]=>001100=>3
[1,3,7,4,2,6,5]=>001101=>1
[1,3,7,4,5,2,6]=>001010=>2
[1,3,7,4,5,6,2]=>001001=>2
[1,3,7,4,6,2,5]=>001010=>2
[1,3,7,4,6,5,2]=>001011=>1
[1,3,7,5,2,4,6]=>001100=>3
[1,3,7,5,2,6,4]=>001101=>1
[1,3,7,5,4,2,6]=>001110=>2
[1,3,7,5,4,6,2]=>001101=>1
[1,3,7,5,6,2,4]=>001010=>2
[1,3,7,5,6,4,2]=>001011=>1
[1,3,7,6,2,4,5]=>001100=>3
[1,3,7,6,2,5,4]=>001101=>1
[1,3,7,6,4,2,5]=>001110=>2
[1,3,7,6,4,5,2]=>001101=>1
[1,3,7,6,5,2,4]=>001110=>2
[1,3,7,6,5,4,2]=>001111=>1
[1,4,2,3,5,6,7]=>010000=>5
[1,4,2,3,5,7,6]=>010001=>3
[1,4,2,3,6,5,7]=>010010=>4
[1,4,2,3,6,7,5]=>010001=>3
[1,4,2,3,7,5,6]=>010010=>4
[1,4,2,3,7,6,5]=>010011=>2
[1,4,2,5,3,6,7]=>010100=>4
[1,4,2,5,3,7,6]=>010101=>3
[1,4,2,5,6,3,7]=>010010=>4
[1,4,2,5,6,7,3]=>010001=>3
[1,4,2,5,7,3,6]=>010010=>4
[1,4,2,5,7,6,3]=>010011=>2
[1,4,2,6,3,5,7]=>010100=>4
[1,4,2,6,3,7,5]=>010101=>3
[1,4,2,6,5,3,7]=>010110=>2
[1,4,2,6,5,7,3]=>010101=>3
[1,4,2,6,7,3,5]=>010010=>4
[1,4,2,6,7,5,3]=>010011=>2
[1,4,2,7,3,5,6]=>010100=>4
[1,4,2,7,3,6,5]=>010101=>3
[1,4,2,7,5,3,6]=>010110=>2
[1,4,2,7,5,6,3]=>010101=>3
[1,4,2,7,6,3,5]=>010110=>2
[1,4,2,7,6,5,3]=>010111=>1
[1,4,3,2,5,6,7]=>011000=>4
[1,4,3,2,5,7,6]=>011001=>3
[1,4,3,2,6,5,7]=>011010=>3
[1,4,3,2,6,7,5]=>011001=>3
[1,4,3,2,7,5,6]=>011010=>3
[1,4,3,2,7,6,5]=>011011=>2
[1,4,3,5,2,6,7]=>010100=>4
[1,4,3,5,2,7,6]=>010101=>3
[1,4,3,5,6,2,7]=>010010=>4
[1,4,3,5,6,7,2]=>010001=>3
[1,4,3,5,7,2,6]=>010010=>4
[1,4,3,5,7,6,2]=>010011=>2
[1,4,3,6,2,5,7]=>010100=>4
[1,4,3,6,2,7,5]=>010101=>3
[1,4,3,6,5,2,7]=>010110=>2
[1,4,3,6,5,7,2]=>010101=>3
[1,4,3,6,7,2,5]=>010010=>4
[1,4,3,6,7,5,2]=>010011=>2
[1,4,3,7,2,5,6]=>010100=>4
[1,4,3,7,2,6,5]=>010101=>3
[1,4,3,7,5,2,6]=>010110=>2
[1,4,3,7,5,6,2]=>010101=>3
[1,4,3,7,6,2,5]=>010110=>2
[1,4,3,7,6,5,2]=>010111=>1
[1,4,5,2,3,6,7]=>001000=>4
[1,4,5,2,3,7,6]=>001001=>2
[1,4,5,2,6,3,7]=>001010=>2
[1,4,5,2,6,7,3]=>001001=>2
[1,4,5,2,7,3,6]=>001010=>2
[1,4,5,2,7,6,3]=>001011=>1
[1,4,5,3,2,6,7]=>001100=>3
[1,4,5,3,2,7,6]=>001101=>1
[1,4,5,3,6,2,7]=>001010=>2
[1,4,5,3,6,7,2]=>001001=>2
[1,4,5,3,7,2,6]=>001010=>2
[1,4,5,3,7,6,2]=>001011=>1
[1,4,5,6,2,3,7]=>000100=>3
[1,4,5,6,2,7,3]=>000101=>1
[1,4,5,6,3,2,7]=>000110=>2
[1,4,5,6,3,7,2]=>000101=>1
[1,4,5,6,7,2,3]=>000010=>2
[1,4,5,6,7,3,2]=>000011=>1
[1,4,5,7,2,3,6]=>000100=>3
[1,4,5,7,2,6,3]=>000101=>1
[1,4,5,7,3,2,6]=>000110=>2
[1,4,5,7,3,6,2]=>000101=>1
[1,4,5,7,6,2,3]=>000110=>2
[1,4,5,7,6,3,2]=>000111=>1
[1,4,6,2,3,5,7]=>001000=>4
[1,4,6,2,3,7,5]=>001001=>2
[1,4,6,2,5,3,7]=>001010=>2
[1,4,6,2,5,7,3]=>001001=>2
[1,4,6,2,7,3,5]=>001010=>2
[1,4,6,2,7,5,3]=>001011=>1
[1,4,6,3,2,5,7]=>001100=>3
[1,4,6,3,2,7,5]=>001101=>1
[1,4,6,3,5,2,7]=>001010=>2
[1,4,6,3,5,7,2]=>001001=>2
[1,4,6,3,7,2,5]=>001010=>2
[1,4,6,3,7,5,2]=>001011=>1
[1,4,6,5,2,3,7]=>001100=>3
[1,4,6,5,2,7,3]=>001101=>1
[1,4,6,5,3,2,7]=>001110=>2
[1,4,6,5,3,7,2]=>001101=>1
[1,4,6,5,7,2,3]=>001010=>2
[1,4,6,5,7,3,2]=>001011=>1
[1,4,6,7,2,3,5]=>000100=>3
[1,4,6,7,2,5,3]=>000101=>1
[1,4,6,7,3,2,5]=>000110=>2
[1,4,6,7,3,5,2]=>000101=>1
[1,4,6,7,5,2,3]=>000110=>2
[1,4,6,7,5,3,2]=>000111=>1
[1,4,7,2,3,5,6]=>001000=>4
[1,4,7,2,3,6,5]=>001001=>2
[1,4,7,2,5,3,6]=>001010=>2
[1,4,7,2,5,6,3]=>001001=>2
[1,4,7,2,6,3,5]=>001010=>2
[1,4,7,2,6,5,3]=>001011=>1
[1,4,7,3,2,5,6]=>001100=>3
[1,4,7,3,2,6,5]=>001101=>1
[1,4,7,3,5,2,6]=>001010=>2
[1,4,7,3,5,6,2]=>001001=>2
[1,4,7,3,6,2,5]=>001010=>2
[1,4,7,3,6,5,2]=>001011=>1
[1,4,7,5,2,3,6]=>001100=>3
[1,4,7,5,2,6,3]=>001101=>1
[1,4,7,5,3,2,6]=>001110=>2
[1,4,7,5,3,6,2]=>001101=>1
[1,4,7,5,6,2,3]=>001010=>2
[1,4,7,5,6,3,2]=>001011=>1
[1,4,7,6,2,3,5]=>001100=>3
[1,4,7,6,2,5,3]=>001101=>1
[1,4,7,6,3,2,5]=>001110=>2
[1,4,7,6,3,5,2]=>001101=>1
[1,4,7,6,5,2,3]=>001110=>2
[1,4,7,6,5,3,2]=>001111=>1
[1,5,2,3,4,6,7]=>010000=>5
[1,5,2,3,4,7,6]=>010001=>3
[1,5,2,3,6,4,7]=>010010=>4
[1,5,2,3,6,7,4]=>010001=>3
[1,5,2,3,7,4,6]=>010010=>4
[1,5,2,3,7,6,4]=>010011=>2
[1,5,2,4,3,6,7]=>010100=>4
[1,5,2,4,3,7,6]=>010101=>3
[1,5,2,4,6,3,7]=>010010=>4
[1,5,2,4,6,7,3]=>010001=>3
[1,5,2,4,7,3,6]=>010010=>4
[1,5,2,4,7,6,3]=>010011=>2
[1,5,2,6,3,4,7]=>010100=>4
[1,5,2,6,3,7,4]=>010101=>3
[1,5,2,6,4,3,7]=>010110=>2
[1,5,2,6,4,7,3]=>010101=>3
[1,5,2,6,7,3,4]=>010010=>4
[1,5,2,6,7,4,3]=>010011=>2
[1,5,2,7,3,4,6]=>010100=>4
[1,5,2,7,3,6,4]=>010101=>3
[1,5,2,7,4,3,6]=>010110=>2
[1,5,2,7,4,6,3]=>010101=>3
[1,5,2,7,6,3,4]=>010110=>2
[1,5,2,7,6,4,3]=>010111=>1
[1,5,3,2,4,6,7]=>011000=>4
[1,5,3,2,4,7,6]=>011001=>3
[1,5,3,2,6,4,7]=>011010=>3
[1,5,3,2,6,7,4]=>011001=>3
[1,5,3,2,7,4,6]=>011010=>3
[1,5,3,2,7,6,4]=>011011=>2
[1,5,3,4,2,6,7]=>010100=>4
[1,5,3,4,2,7,6]=>010101=>3
[1,5,3,4,6,2,7]=>010010=>4
[1,5,3,4,6,7,2]=>010001=>3
[1,5,3,4,7,2,6]=>010010=>4
[1,5,3,4,7,6,2]=>010011=>2
[1,5,3,6,2,4,7]=>010100=>4
[1,5,3,6,2,7,4]=>010101=>3
[1,5,3,6,4,2,7]=>010110=>2
[1,5,3,6,4,7,2]=>010101=>3
[1,5,3,6,7,2,4]=>010010=>4
[1,5,3,6,7,4,2]=>010011=>2
[1,5,3,7,2,4,6]=>010100=>4
[1,5,3,7,2,6,4]=>010101=>3
[1,5,3,7,4,2,6]=>010110=>2
[1,5,3,7,4,6,2]=>010101=>3
[1,5,3,7,6,2,4]=>010110=>2
[1,5,3,7,6,4,2]=>010111=>1
[1,5,4,2,3,6,7]=>011000=>4
[1,5,4,2,3,7,6]=>011001=>3
[1,5,4,2,6,3,7]=>011010=>3
[1,5,4,2,6,7,3]=>011001=>3
[1,5,4,2,7,3,6]=>011010=>3
[1,5,4,2,7,6,3]=>011011=>2
[1,5,4,3,2,6,7]=>011100=>3
[1,5,4,3,2,7,6]=>011101=>2
[1,5,4,3,6,2,7]=>011010=>3
[1,5,4,3,6,7,2]=>011001=>3
[1,5,4,3,7,2,6]=>011010=>3
[1,5,4,3,7,6,2]=>011011=>2
[1,5,4,6,2,3,7]=>010100=>4
[1,5,4,6,2,7,3]=>010101=>3
[1,5,4,6,3,2,7]=>010110=>2
[1,5,4,6,3,7,2]=>010101=>3
[1,5,4,6,7,2,3]=>010010=>4
[1,5,4,6,7,3,2]=>010011=>2
[1,5,4,7,2,3,6]=>010100=>4
[1,5,4,7,2,6,3]=>010101=>3
[1,5,4,7,3,2,6]=>010110=>2
[1,5,4,7,3,6,2]=>010101=>3
[1,5,4,7,6,2,3]=>010110=>2
[1,5,4,7,6,3,2]=>010111=>1
[1,5,6,2,3,4,7]=>001000=>4
[1,5,6,2,3,7,4]=>001001=>2
[1,5,6,2,4,3,7]=>001010=>2
[1,5,6,2,4,7,3]=>001001=>2
[1,5,6,2,7,3,4]=>001010=>2
[1,5,6,2,7,4,3]=>001011=>1
[1,5,6,3,2,4,7]=>001100=>3
[1,5,6,3,2,7,4]=>001101=>1
[1,5,6,3,4,2,7]=>001010=>2
[1,5,6,3,4,7,2]=>001001=>2
[1,5,6,3,7,2,4]=>001010=>2
[1,5,6,3,7,4,2]=>001011=>1
[1,5,6,4,2,3,7]=>001100=>3
[1,5,6,4,2,7,3]=>001101=>1
[1,5,6,4,3,2,7]=>001110=>2
[1,5,6,4,3,7,2]=>001101=>1
[1,5,6,4,7,2,3]=>001010=>2
[1,5,6,4,7,3,2]=>001011=>1
[1,5,6,7,2,3,4]=>000100=>3
[1,5,6,7,2,4,3]=>000101=>1
[1,5,6,7,3,2,4]=>000110=>2
[1,5,6,7,3,4,2]=>000101=>1
[1,5,6,7,4,2,3]=>000110=>2
[1,5,6,7,4,3,2]=>000111=>1
[1,5,7,2,3,4,6]=>001000=>4
[1,5,7,2,3,6,4]=>001001=>2
[1,5,7,2,4,3,6]=>001010=>2
[1,5,7,2,4,6,3]=>001001=>2
[1,5,7,2,6,3,4]=>001010=>2
[1,5,7,2,6,4,3]=>001011=>1
[1,5,7,3,2,4,6]=>001100=>3
[1,5,7,3,2,6,4]=>001101=>1
[1,5,7,3,4,2,6]=>001010=>2
[1,5,7,3,4,6,2]=>001001=>2
[1,5,7,3,6,2,4]=>001010=>2
[1,5,7,3,6,4,2]=>001011=>1
[1,5,7,4,2,3,6]=>001100=>3
[1,5,7,4,2,6,3]=>001101=>1
[1,5,7,4,3,2,6]=>001110=>2
[1,5,7,4,3,6,2]=>001101=>1
[1,5,7,4,6,2,3]=>001010=>2
[1,5,7,4,6,3,2]=>001011=>1
[1,5,7,6,2,3,4]=>001100=>3
[1,5,7,6,2,4,3]=>001101=>1
[1,5,7,6,3,2,4]=>001110=>2
[1,5,7,6,3,4,2]=>001101=>1
[1,5,7,6,4,2,3]=>001110=>2
[1,5,7,6,4,3,2]=>001111=>1
[1,6,2,3,4,5,7]=>010000=>5
[1,6,2,3,4,7,5]=>010001=>3
[1,6,2,3,5,4,7]=>010010=>4
[1,6,2,3,5,7,4]=>010001=>3
[1,6,2,3,7,4,5]=>010010=>4
[1,6,2,3,7,5,4]=>010011=>2
[1,6,2,4,3,5,7]=>010100=>4
[1,6,2,4,3,7,5]=>010101=>3
[1,6,2,4,5,3,7]=>010010=>4
[1,6,2,4,5,7,3]=>010001=>3
[1,6,2,4,7,3,5]=>010010=>4
[1,6,2,4,7,5,3]=>010011=>2
[1,6,2,5,3,4,7]=>010100=>4
[1,6,2,5,3,7,4]=>010101=>3
[1,6,2,5,4,3,7]=>010110=>2
[1,6,2,5,4,7,3]=>010101=>3
[1,6,2,5,7,3,4]=>010010=>4
[1,6,2,5,7,4,3]=>010011=>2
[1,6,2,7,3,4,5]=>010100=>4
[1,6,2,7,3,5,4]=>010101=>3
[1,6,2,7,4,3,5]=>010110=>2
[1,6,2,7,4,5,3]=>010101=>3
[1,6,2,7,5,3,4]=>010110=>2
[1,6,2,7,5,4,3]=>010111=>1
[1,6,3,2,4,5,7]=>011000=>4
[1,6,3,2,4,7,5]=>011001=>3
[1,6,3,2,5,4,7]=>011010=>3
[1,6,3,2,5,7,4]=>011001=>3
[1,6,3,2,7,4,5]=>011010=>3
[1,6,3,2,7,5,4]=>011011=>2
[1,6,3,4,2,5,7]=>010100=>4
[1,6,3,4,2,7,5]=>010101=>3
[1,6,3,4,5,2,7]=>010010=>4
[1,6,3,4,5,7,2]=>010001=>3
[1,6,3,4,7,2,5]=>010010=>4
[1,6,3,4,7,5,2]=>010011=>2
[1,6,3,5,2,4,7]=>010100=>4
[1,6,3,5,2,7,4]=>010101=>3
[1,6,3,5,4,2,7]=>010110=>2
[1,6,3,5,4,7,2]=>010101=>3
[1,6,3,5,7,2,4]=>010010=>4
[1,6,3,5,7,4,2]=>010011=>2
[1,6,3,7,2,4,5]=>010100=>4
[1,6,3,7,2,5,4]=>010101=>3
[1,6,3,7,4,2,5]=>010110=>2
[1,6,3,7,4,5,2]=>010101=>3
[1,6,3,7,5,2,4]=>010110=>2
[1,6,3,7,5,4,2]=>010111=>1
[1,6,4,2,3,5,7]=>011000=>4
[1,6,4,2,3,7,5]=>011001=>3
[1,6,4,2,5,3,7]=>011010=>3
[1,6,4,2,5,7,3]=>011001=>3
[1,6,4,2,7,3,5]=>011010=>3
[1,6,4,2,7,5,3]=>011011=>2
[1,6,4,3,2,5,7]=>011100=>3
[1,6,4,3,2,7,5]=>011101=>2
[1,6,4,3,5,2,7]=>011010=>3
[1,6,4,3,5,7,2]=>011001=>3
[1,6,4,3,7,2,5]=>011010=>3
[1,6,4,3,7,5,2]=>011011=>2
[1,6,4,5,2,3,7]=>010100=>4
[1,6,4,5,2,7,3]=>010101=>3
[1,6,4,5,3,2,7]=>010110=>2
[1,6,4,5,3,7,2]=>010101=>3
[1,6,4,5,7,2,3]=>010010=>4
[1,6,4,5,7,3,2]=>010011=>2
[1,6,4,7,2,3,5]=>010100=>4
[1,6,4,7,2,5,3]=>010101=>3
[1,6,4,7,3,2,5]=>010110=>2
[1,6,4,7,3,5,2]=>010101=>3
[1,6,4,7,5,2,3]=>010110=>2
[1,6,4,7,5,3,2]=>010111=>1
[1,6,5,2,3,4,7]=>011000=>4
[1,6,5,2,3,7,4]=>011001=>3
[1,6,5,2,4,3,7]=>011010=>3
[1,6,5,2,4,7,3]=>011001=>3
[1,6,5,2,7,3,4]=>011010=>3
[1,6,5,2,7,4,3]=>011011=>2
[1,6,5,3,2,4,7]=>011100=>3
[1,6,5,3,2,7,4]=>011101=>2
[1,6,5,3,4,2,7]=>011010=>3
[1,6,5,3,4,7,2]=>011001=>3
[1,6,5,3,7,2,4]=>011010=>3
[1,6,5,3,7,4,2]=>011011=>2
[1,6,5,4,2,3,7]=>011100=>3
[1,6,5,4,2,7,3]=>011101=>2
[1,6,5,4,3,2,7]=>011110=>2
[1,6,5,4,3,7,2]=>011101=>2
[1,6,5,4,7,2,3]=>011010=>3
[1,6,5,4,7,3,2]=>011011=>2
[1,6,5,7,2,3,4]=>010100=>4
[1,6,5,7,2,4,3]=>010101=>3
[1,6,5,7,3,2,4]=>010110=>2
[1,6,5,7,3,4,2]=>010101=>3
[1,6,5,7,4,2,3]=>010110=>2
[1,6,5,7,4,3,2]=>010111=>1
[1,6,7,2,3,4,5]=>001000=>4
[1,6,7,2,3,5,4]=>001001=>2
[1,6,7,2,4,3,5]=>001010=>2
[1,6,7,2,4,5,3]=>001001=>2
[1,6,7,2,5,3,4]=>001010=>2
[1,6,7,2,5,4,3]=>001011=>1
[1,6,7,3,2,4,5]=>001100=>3
[1,6,7,3,2,5,4]=>001101=>1
[1,6,7,3,4,2,5]=>001010=>2
[1,6,7,3,4,5,2]=>001001=>2
[1,6,7,3,5,2,4]=>001010=>2
[1,6,7,3,5,4,2]=>001011=>1
[1,6,7,4,2,3,5]=>001100=>3
[1,6,7,4,2,5,3]=>001101=>1
[1,6,7,4,3,2,5]=>001110=>2
[1,6,7,4,3,5,2]=>001101=>1
[1,6,7,4,5,2,3]=>001010=>2
[1,6,7,4,5,3,2]=>001011=>1
[1,6,7,5,2,3,4]=>001100=>3
[1,6,7,5,2,4,3]=>001101=>1
[1,6,7,5,3,2,4]=>001110=>2
[1,6,7,5,3,4,2]=>001101=>1
[1,6,7,5,4,2,3]=>001110=>2
[1,6,7,5,4,3,2]=>001111=>1
[1,7,2,3,4,5,6]=>010000=>5
[1,7,2,3,4,6,5]=>010001=>3
[1,7,2,3,5,4,6]=>010010=>4
[1,7,2,3,5,6,4]=>010001=>3
[1,7,2,3,6,4,5]=>010010=>4
[1,7,2,3,6,5,4]=>010011=>2
[1,7,2,4,3,5,6]=>010100=>4
[1,7,2,4,3,6,5]=>010101=>3
[1,7,2,4,5,3,6]=>010010=>4
[1,7,2,4,5,6,3]=>010001=>3
[1,7,2,4,6,3,5]=>010010=>4
[1,7,2,4,6,5,3]=>010011=>2
[1,7,2,5,3,4,6]=>010100=>4
[1,7,2,5,3,6,4]=>010101=>3
[1,7,2,5,4,3,6]=>010110=>2
[1,7,2,5,4,6,3]=>010101=>3
[1,7,2,5,6,3,4]=>010010=>4
[1,7,2,5,6,4,3]=>010011=>2
[1,7,2,6,3,4,5]=>010100=>4
[1,7,2,6,3,5,4]=>010101=>3
[1,7,2,6,4,3,5]=>010110=>2
[1,7,2,6,4,5,3]=>010101=>3
[1,7,2,6,5,3,4]=>010110=>2
[1,7,2,6,5,4,3]=>010111=>1
[1,7,3,2,4,5,6]=>011000=>4
[1,7,3,2,4,6,5]=>011001=>3
[1,7,3,2,5,4,6]=>011010=>3
[1,7,3,2,5,6,4]=>011001=>3
[1,7,3,2,6,4,5]=>011010=>3
[1,7,3,2,6,5,4]=>011011=>2
[1,7,3,4,2,5,6]=>010100=>4
[1,7,3,4,2,6,5]=>010101=>3
[1,7,3,4,5,2,6]=>010010=>4
[1,7,3,4,5,6,2]=>010001=>3
[1,7,3,4,6,2,5]=>010010=>4
[1,7,3,4,6,5,2]=>010011=>2
[1,7,3,5,2,4,6]=>010100=>4
[1,7,3,5,2,6,4]=>010101=>3
[1,7,3,5,4,2,6]=>010110=>2
[1,7,3,5,4,6,2]=>010101=>3
[1,7,3,5,6,2,4]=>010010=>4
[1,7,3,5,6,4,2]=>010011=>2
[1,7,3,6,2,4,5]=>010100=>4
[1,7,3,6,2,5,4]=>010101=>3
[1,7,3,6,4,2,5]=>010110=>2
[1,7,3,6,4,5,2]=>010101=>3
[1,7,3,6,5,2,4]=>010110=>2
[1,7,3,6,5,4,2]=>010111=>1
[1,7,4,2,3,5,6]=>011000=>4
[1,7,4,2,3,6,5]=>011001=>3
[1,7,4,2,5,3,6]=>011010=>3
[1,7,4,2,5,6,3]=>011001=>3
[1,7,4,2,6,3,5]=>011010=>3
[1,7,4,2,6,5,3]=>011011=>2
[1,7,4,3,2,5,6]=>011100=>3
[1,7,4,3,2,6,5]=>011101=>2
[1,7,4,3,5,2,6]=>011010=>3
[1,7,4,3,5,6,2]=>011001=>3
[1,7,4,3,6,2,5]=>011010=>3
[1,7,4,3,6,5,2]=>011011=>2
[1,7,4,5,2,3,6]=>010100=>4
[1,7,4,5,2,6,3]=>010101=>3
[1,7,4,5,3,2,6]=>010110=>2
[1,7,4,5,3,6,2]=>010101=>3
[1,7,4,5,6,2,3]=>010010=>4
[1,7,4,5,6,3,2]=>010011=>2
[1,7,4,6,2,3,5]=>010100=>4
[1,7,4,6,2,5,3]=>010101=>3
[1,7,4,6,3,2,5]=>010110=>2
[1,7,4,6,3,5,2]=>010101=>3
[1,7,4,6,5,2,3]=>010110=>2
[1,7,4,6,5,3,2]=>010111=>1
[1,7,5,2,3,4,6]=>011000=>4
[1,7,5,2,3,6,4]=>011001=>3
[1,7,5,2,4,3,6]=>011010=>3
[1,7,5,2,4,6,3]=>011001=>3
[1,7,5,2,6,3,4]=>011010=>3
[1,7,5,2,6,4,3]=>011011=>2
[1,7,5,3,2,4,6]=>011100=>3
[1,7,5,3,2,6,4]=>011101=>2
[1,7,5,3,4,2,6]=>011010=>3
[1,7,5,3,4,6,2]=>011001=>3
[1,7,5,3,6,2,4]=>011010=>3
[1,7,5,3,6,4,2]=>011011=>2
[1,7,5,4,2,3,6]=>011100=>3
[1,7,5,4,2,6,3]=>011101=>2
[1,7,5,4,3,2,6]=>011110=>2
[1,7,5,4,3,6,2]=>011101=>2
[1,7,5,4,6,2,3]=>011010=>3
[1,7,5,4,6,3,2]=>011011=>2
[1,7,5,6,2,3,4]=>010100=>4
[1,7,5,6,2,4,3]=>010101=>3
[1,7,5,6,3,2,4]=>010110=>2
[1,7,5,6,3,4,2]=>010101=>3
[1,7,5,6,4,2,3]=>010110=>2
[1,7,5,6,4,3,2]=>010111=>1
[1,7,6,2,3,4,5]=>011000=>4
[1,7,6,2,3,5,4]=>011001=>3
[1,7,6,2,4,3,5]=>011010=>3
[1,7,6,2,4,5,3]=>011001=>3
[1,7,6,2,5,3,4]=>011010=>3
[1,7,6,2,5,4,3]=>011011=>2
[1,7,6,3,2,4,5]=>011100=>3
[1,7,6,3,2,5,4]=>011101=>2
[1,7,6,3,4,2,5]=>011010=>3
[1,7,6,3,4,5,2]=>011001=>3
[1,7,6,3,5,2,4]=>011010=>3
[1,7,6,3,5,4,2]=>011011=>2
[1,7,6,4,2,3,5]=>011100=>3
[1,7,6,4,2,5,3]=>011101=>2
[1,7,6,4,3,2,5]=>011110=>2
[1,7,6,4,3,5,2]=>011101=>2
[1,7,6,4,5,2,3]=>011010=>3
[1,7,6,4,5,3,2]=>011011=>2
[1,7,6,5,2,3,4]=>011100=>3
[1,7,6,5,2,4,3]=>011101=>2
[1,7,6,5,3,2,4]=>011110=>2
[1,7,6,5,3,4,2]=>011101=>2
[1,7,6,5,4,2,3]=>011110=>2
[1,7,6,5,4,3,2]=>011111=>1
[2,1,3,4,5,6,7]=>100000=>6
[2,1,3,4,5,7,6]=>100001=>5
[2,1,3,4,6,5,7]=>100010=>5
[2,1,3,4,6,7,5]=>100001=>5
[2,1,3,4,7,5,6]=>100010=>5
[2,1,3,4,7,6,5]=>100011=>4
[2,1,3,5,4,6,7]=>100100=>6
[2,1,3,5,4,7,6]=>100101=>4
[2,1,3,5,6,4,7]=>100010=>5
[2,1,3,5,6,7,4]=>100001=>5
[2,1,3,5,7,4,6]=>100010=>5
[2,1,3,5,7,6,4]=>100011=>4
[2,1,3,6,4,5,7]=>100100=>6
[2,1,3,6,4,7,5]=>100101=>4
[2,1,3,6,5,4,7]=>100110=>4
[2,1,3,6,5,7,4]=>100101=>4
[2,1,3,6,7,4,5]=>100010=>5
[2,1,3,6,7,5,4]=>100011=>4
[2,1,3,7,4,5,6]=>100100=>6
[2,1,3,7,4,6,5]=>100101=>4
[2,1,3,7,5,4,6]=>100110=>4
[2,1,3,7,5,6,4]=>100101=>4
[2,1,3,7,6,4,5]=>100110=>4
[2,1,3,7,6,5,4]=>100111=>3
[2,1,4,3,5,6,7]=>101000=>6
[2,1,4,3,5,7,6]=>101001=>5
[2,1,4,3,6,5,7]=>101010=>6
[2,1,4,3,6,7,5]=>101001=>5
[2,1,4,3,7,5,6]=>101010=>6
[2,1,4,3,7,6,5]=>101011=>3
[2,1,4,5,3,6,7]=>100100=>6
[2,1,4,5,3,7,6]=>100101=>4
[2,1,4,5,6,3,7]=>100010=>5
[2,1,4,5,6,7,3]=>100001=>5
[2,1,4,5,7,3,6]=>100010=>5
[2,1,4,5,7,6,3]=>100011=>4
[2,1,4,6,3,5,7]=>100100=>6
[2,1,4,6,3,7,5]=>100101=>4
[2,1,4,6,5,3,7]=>100110=>4
[2,1,4,6,5,7,3]=>100101=>4
[2,1,4,6,7,3,5]=>100010=>5
[2,1,4,6,7,5,3]=>100011=>4
[2,1,4,7,3,5,6]=>100100=>6
[2,1,4,7,3,6,5]=>100101=>4
[2,1,4,7,5,3,6]=>100110=>4
[2,1,4,7,5,6,3]=>100101=>4
[2,1,4,7,6,3,5]=>100110=>4
[2,1,4,7,6,5,3]=>100111=>3
[2,1,5,3,4,6,7]=>101000=>6
[2,1,5,3,4,7,6]=>101001=>5
[2,1,5,3,6,4,7]=>101010=>6
[2,1,5,3,6,7,4]=>101001=>5
[2,1,5,3,7,4,6]=>101010=>6
[2,1,5,3,7,6,4]=>101011=>3
[2,1,5,4,3,6,7]=>101100=>5
[2,1,5,4,3,7,6]=>101101=>4
[2,1,5,4,6,3,7]=>101010=>6
[2,1,5,4,6,7,3]=>101001=>5
[2,1,5,4,7,3,6]=>101010=>6
[2,1,5,4,7,6,3]=>101011=>3
[2,1,5,6,3,4,7]=>100100=>6
[2,1,5,6,3,7,4]=>100101=>4
[2,1,5,6,4,3,7]=>100110=>4
[2,1,5,6,4,7,3]=>100101=>4
[2,1,5,6,7,3,4]=>100010=>5
[2,1,5,6,7,4,3]=>100011=>4
[2,1,5,7,3,4,6]=>100100=>6
[2,1,5,7,3,6,4]=>100101=>4
[2,1,5,7,4,3,6]=>100110=>4
[2,1,5,7,4,6,3]=>100101=>4
[2,1,5,7,6,3,4]=>100110=>4
[2,1,5,7,6,4,3]=>100111=>3
[2,1,6,3,4,5,7]=>101000=>6
[2,1,6,3,4,7,5]=>101001=>5
[2,1,6,3,5,4,7]=>101010=>6
[2,1,6,3,5,7,4]=>101001=>5
[2,1,6,3,7,4,5]=>101010=>6
[2,1,6,3,7,5,4]=>101011=>3
[2,1,6,4,3,5,7]=>101100=>5
[2,1,6,4,3,7,5]=>101101=>4
[2,1,6,4,5,3,7]=>101010=>6
[2,1,6,4,5,7,3]=>101001=>5
[2,1,6,4,7,3,5]=>101010=>6
[2,1,6,4,7,5,3]=>101011=>3
[2,1,6,5,3,4,7]=>101100=>5
[2,1,6,5,3,7,4]=>101101=>4
[2,1,6,5,4,3,7]=>101110=>4
[2,1,6,5,4,7,3]=>101101=>4
[2,1,6,5,7,3,4]=>101010=>6
[2,1,6,5,7,4,3]=>101011=>3
[2,1,6,7,3,4,5]=>100100=>6
[2,1,6,7,3,5,4]=>100101=>4
[2,1,6,7,4,3,5]=>100110=>4
[2,1,6,7,4,5,3]=>100101=>4
[2,1,6,7,5,3,4]=>100110=>4
[2,1,6,7,5,4,3]=>100111=>3
[2,1,7,3,4,5,6]=>101000=>6
[2,1,7,3,4,6,5]=>101001=>5
[2,1,7,3,5,4,6]=>101010=>6
[2,1,7,3,5,6,4]=>101001=>5
[2,1,7,3,6,4,5]=>101010=>6
[2,1,7,3,6,5,4]=>101011=>3
[2,1,7,4,3,5,6]=>101100=>5
[2,1,7,4,3,6,5]=>101101=>4
[2,1,7,4,5,3,6]=>101010=>6
[2,1,7,4,5,6,3]=>101001=>5
[2,1,7,4,6,3,5]=>101010=>6
[2,1,7,4,6,5,3]=>101011=>3
[2,1,7,5,3,4,6]=>101100=>5
[2,1,7,5,3,6,4]=>101101=>4
[2,1,7,5,4,3,6]=>101110=>4
[2,1,7,5,4,6,3]=>101101=>4
[2,1,7,5,6,3,4]=>101010=>6
[2,1,7,5,6,4,3]=>101011=>3
[2,1,7,6,3,4,5]=>101100=>5
[2,1,7,6,3,5,4]=>101101=>4
[2,1,7,6,4,3,5]=>101110=>4
[2,1,7,6,4,5,3]=>101101=>4
[2,1,7,6,5,3,4]=>101110=>4
[2,1,7,6,5,4,3]=>101111=>2
[2,3,1,4,5,6,7]=>010000=>5
[2,3,1,4,5,7,6]=>010001=>3
[2,3,1,4,6,5,7]=>010010=>4
[2,3,1,4,6,7,5]=>010001=>3
[2,3,1,4,7,5,6]=>010010=>4
[2,3,1,4,7,6,5]=>010011=>2
[2,3,1,5,4,6,7]=>010100=>4
[2,3,1,5,4,7,6]=>010101=>3
[2,3,1,5,6,4,7]=>010010=>4
[2,3,1,5,6,7,4]=>010001=>3
[2,3,1,5,7,4,6]=>010010=>4
[2,3,1,5,7,6,4]=>010011=>2
[2,3,1,6,4,5,7]=>010100=>4
[2,3,1,6,4,7,5]=>010101=>3
[2,3,1,6,5,4,7]=>010110=>2
[2,3,1,6,5,7,4]=>010101=>3
[2,3,1,6,7,4,5]=>010010=>4
[2,3,1,6,7,5,4]=>010011=>2
[2,3,1,7,4,5,6]=>010100=>4
[2,3,1,7,4,6,5]=>010101=>3
[2,3,1,7,5,4,6]=>010110=>2
[2,3,1,7,5,6,4]=>010101=>3
[2,3,1,7,6,4,5]=>010110=>2
[2,3,1,7,6,5,4]=>010111=>1
[2,3,4,1,5,6,7]=>001000=>4
[2,3,4,1,5,7,6]=>001001=>2
[2,3,4,1,6,5,7]=>001010=>2
[2,3,4,1,6,7,5]=>001001=>2
[2,3,4,1,7,5,6]=>001010=>2
[2,3,4,1,7,6,5]=>001011=>1
[2,3,4,5,1,6,7]=>000100=>3
[2,3,4,5,1,7,6]=>000101=>1
[2,3,4,5,6,1,7]=>000010=>2
[2,3,4,5,6,7,1]=>000001=>1
[2,3,4,5,7,1,6]=>000010=>2
[2,3,4,5,7,6,1]=>000011=>1
[2,3,4,6,1,5,7]=>000100=>3
[2,3,4,6,1,7,5]=>000101=>1
[2,3,4,6,5,1,7]=>000110=>2
[2,3,4,6,5,7,1]=>000101=>1
[2,3,4,6,7,1,5]=>000010=>2
[2,3,4,6,7,5,1]=>000011=>1
[2,3,4,7,1,5,6]=>000100=>3
[2,3,4,7,1,6,5]=>000101=>1
[2,3,4,7,5,1,6]=>000110=>2
[2,3,4,7,5,6,1]=>000101=>1
[2,3,4,7,6,1,5]=>000110=>2
[2,3,4,7,6,5,1]=>000111=>1
[2,3,5,1,4,6,7]=>001000=>4
[2,3,5,1,4,7,6]=>001001=>2
[2,3,5,1,6,4,7]=>001010=>2
[2,3,5,1,6,7,4]=>001001=>2
[2,3,5,1,7,4,6]=>001010=>2
[2,3,5,1,7,6,4]=>001011=>1
[2,3,5,4,1,6,7]=>001100=>3
[2,3,5,4,1,7,6]=>001101=>1
[2,3,5,4,6,1,7]=>001010=>2
[2,3,5,4,6,7,1]=>001001=>2
[2,3,5,4,7,1,6]=>001010=>2
[2,3,5,4,7,6,1]=>001011=>1
[2,3,5,6,1,4,7]=>000100=>3
[2,3,5,6,1,7,4]=>000101=>1
[2,3,5,6,4,1,7]=>000110=>2
[2,3,5,6,4,7,1]=>000101=>1
[2,3,5,6,7,1,4]=>000010=>2
[2,3,5,6,7,4,1]=>000011=>1
[2,3,5,7,1,4,6]=>000100=>3
[2,3,5,7,1,6,4]=>000101=>1
[2,3,5,7,4,1,6]=>000110=>2
[2,3,5,7,4,6,1]=>000101=>1
[2,3,5,7,6,1,4]=>000110=>2
[2,3,5,7,6,4,1]=>000111=>1
[2,3,6,1,4,5,7]=>001000=>4
[2,3,6,1,4,7,5]=>001001=>2
[2,3,6,1,5,4,7]=>001010=>2
[2,3,6,1,5,7,4]=>001001=>2
[2,3,6,1,7,4,5]=>001010=>2
[2,3,6,1,7,5,4]=>001011=>1
[2,3,6,4,1,5,7]=>001100=>3
[2,3,6,4,1,7,5]=>001101=>1
[2,3,6,4,5,1,7]=>001010=>2
[2,3,6,4,5,7,1]=>001001=>2
[2,3,6,4,7,1,5]=>001010=>2
[2,3,6,4,7,5,1]=>001011=>1
[2,3,6,5,1,4,7]=>001100=>3
[2,3,6,5,1,7,4]=>001101=>1
[2,3,6,5,4,1,7]=>001110=>2
[2,3,6,5,4,7,1]=>001101=>1
[2,3,6,5,7,1,4]=>001010=>2
[2,3,6,5,7,4,1]=>001011=>1
[2,3,6,7,1,4,5]=>000100=>3
[2,3,6,7,1,5,4]=>000101=>1
[2,3,6,7,4,1,5]=>000110=>2
[2,3,6,7,4,5,1]=>000101=>1
[2,3,6,7,5,1,4]=>000110=>2
[2,3,6,7,5,4,1]=>000111=>1
[2,3,7,1,4,5,6]=>001000=>4
[2,3,7,1,4,6,5]=>001001=>2
[2,3,7,1,5,4,6]=>001010=>2
[2,3,7,1,5,6,4]=>001001=>2
[2,3,7,1,6,4,5]=>001010=>2
[2,3,7,1,6,5,4]=>001011=>1
[2,3,7,4,1,5,6]=>001100=>3
[2,3,7,4,1,6,5]=>001101=>1
[2,3,7,4,5,1,6]=>001010=>2
[2,3,7,4,5,6,1]=>001001=>2
[2,3,7,4,6,1,5]=>001010=>2
[2,3,7,4,6,5,1]=>001011=>1
[2,3,7,5,1,4,6]=>001100=>3
[2,3,7,5,1,6,4]=>001101=>1
[2,3,7,5,4,1,6]=>001110=>2
[2,3,7,5,4,6,1]=>001101=>1
[2,3,7,5,6,1,4]=>001010=>2
[2,3,7,5,6,4,1]=>001011=>1
[2,3,7,6,1,4,5]=>001100=>3
[2,3,7,6,1,5,4]=>001101=>1
[2,3,7,6,4,1,5]=>001110=>2
[2,3,7,6,4,5,1]=>001101=>1
[2,3,7,6,5,1,4]=>001110=>2
[2,3,7,6,5,4,1]=>001111=>1
[2,4,1,3,5,6,7]=>010000=>5
[2,4,1,3,5,7,6]=>010001=>3
[2,4,1,3,6,5,7]=>010010=>4
[2,4,1,3,6,7,5]=>010001=>3
[2,4,1,3,7,5,6]=>010010=>4
[2,4,1,3,7,6,5]=>010011=>2
[2,4,1,5,3,6,7]=>010100=>4
[2,4,1,5,3,7,6]=>010101=>3
[2,4,1,5,6,3,7]=>010010=>4
[2,4,1,5,6,7,3]=>010001=>3
[2,4,1,5,7,3,6]=>010010=>4
[2,4,1,5,7,6,3]=>010011=>2
[2,4,1,6,3,5,7]=>010100=>4
[2,4,1,6,3,7,5]=>010101=>3
[2,4,1,6,5,3,7]=>010110=>2
[2,4,1,6,5,7,3]=>010101=>3
[2,4,1,6,7,3,5]=>010010=>4
[2,4,1,6,7,5,3]=>010011=>2
[2,4,1,7,3,5,6]=>010100=>4
[2,4,1,7,3,6,5]=>010101=>3
[2,4,1,7,5,3,6]=>010110=>2
[2,4,1,7,5,6,3]=>010101=>3
[2,4,1,7,6,3,5]=>010110=>2
[2,4,1,7,6,5,3]=>010111=>1
[2,4,3,1,5,6,7]=>011000=>4
[2,4,3,1,5,7,6]=>011001=>3
[2,4,3,1,6,5,7]=>011010=>3
[2,4,3,1,6,7,5]=>011001=>3
[2,4,3,1,7,5,6]=>011010=>3
[2,4,3,1,7,6,5]=>011011=>2
[2,4,3,5,1,6,7]=>010100=>4
[2,4,3,5,1,7,6]=>010101=>3
[2,4,3,5,6,1,7]=>010010=>4
[2,4,3,5,6,7,1]=>010001=>3
[2,4,3,5,7,1,6]=>010010=>4
[2,4,3,5,7,6,1]=>010011=>2
[2,4,3,6,1,5,7]=>010100=>4
[2,4,3,6,1,7,5]=>010101=>3
[2,4,3,6,5,1,7]=>010110=>2
[2,4,3,6,5,7,1]=>010101=>3
[2,4,3,6,7,1,5]=>010010=>4
[2,4,3,6,7,5,1]=>010011=>2
[2,4,3,7,1,5,6]=>010100=>4
[2,4,3,7,1,6,5]=>010101=>3
[2,4,3,7,5,1,6]=>010110=>2
[2,4,3,7,5,6,1]=>010101=>3
[2,4,3,7,6,1,5]=>010110=>2
[2,4,3,7,6,5,1]=>010111=>1
[2,4,5,1,3,6,7]=>001000=>4
[2,4,5,1,3,7,6]=>001001=>2
[2,4,5,1,6,3,7]=>001010=>2
[2,4,5,1,6,7,3]=>001001=>2
[2,4,5,1,7,3,6]=>001010=>2
[2,4,5,1,7,6,3]=>001011=>1
[2,4,5,3,1,6,7]=>001100=>3
[2,4,5,3,1,7,6]=>001101=>1
[2,4,5,3,6,1,7]=>001010=>2
[2,4,5,3,6,7,1]=>001001=>2
[2,4,5,3,7,1,6]=>001010=>2
[2,4,5,3,7,6,1]=>001011=>1
[2,4,5,6,1,3,7]=>000100=>3
[2,4,5,6,1,7,3]=>000101=>1
[2,4,5,6,3,1,7]=>000110=>2
[2,4,5,6,3,7,1]=>000101=>1
[2,4,5,6,7,1,3]=>000010=>2
[2,4,5,6,7,3,1]=>000011=>1
[2,4,5,7,1,3,6]=>000100=>3
[2,4,5,7,1,6,3]=>000101=>1
[2,4,5,7,3,1,6]=>000110=>2
[2,4,5,7,3,6,1]=>000101=>1
[2,4,5,7,6,1,3]=>000110=>2
[2,4,5,7,6,3,1]=>000111=>1
[2,4,6,1,3,5,7]=>001000=>4
[2,4,6,1,3,7,5]=>001001=>2
[2,4,6,1,5,3,7]=>001010=>2
[2,4,6,1,5,7,3]=>001001=>2
[2,4,6,1,7,3,5]=>001010=>2
[2,4,6,1,7,5,3]=>001011=>1
[2,4,6,3,1,5,7]=>001100=>3
[2,4,6,3,1,7,5]=>001101=>1
[2,4,6,3,5,1,7]=>001010=>2
[2,4,6,3,5,7,1]=>001001=>2
[2,4,6,3,7,1,5]=>001010=>2
[2,4,6,3,7,5,1]=>001011=>1
[2,4,6,5,1,3,7]=>001100=>3
[2,4,6,5,1,7,3]=>001101=>1
[2,4,6,5,3,1,7]=>001110=>2
[2,4,6,5,3,7,1]=>001101=>1
[2,4,6,5,7,1,3]=>001010=>2
[2,4,6,5,7,3,1]=>001011=>1
[2,4,6,7,1,3,5]=>000100=>3
[2,4,6,7,1,5,3]=>000101=>1
[2,4,6,7,3,1,5]=>000110=>2
[2,4,6,7,3,5,1]=>000101=>1
[2,4,6,7,5,1,3]=>000110=>2
[2,4,6,7,5,3,1]=>000111=>1
[2,4,7,1,3,5,6]=>001000=>4
[2,4,7,1,3,6,5]=>001001=>2
[2,4,7,1,5,3,6]=>001010=>2
[2,4,7,1,5,6,3]=>001001=>2
[2,4,7,1,6,3,5]=>001010=>2
[2,4,7,1,6,5,3]=>001011=>1
[2,4,7,3,1,5,6]=>001100=>3
[2,4,7,3,1,6,5]=>001101=>1
[2,4,7,3,5,1,6]=>001010=>2
[2,4,7,3,5,6,1]=>001001=>2
[2,4,7,3,6,1,5]=>001010=>2
[2,4,7,3,6,5,1]=>001011=>1
[2,4,7,5,1,3,6]=>001100=>3
[2,4,7,5,1,6,3]=>001101=>1
[2,4,7,5,3,1,6]=>001110=>2
[2,4,7,5,3,6,1]=>001101=>1
[2,4,7,5,6,1,3]=>001010=>2
[2,4,7,5,6,3,1]=>001011=>1
[2,4,7,6,1,3,5]=>001100=>3
[2,4,7,6,1,5,3]=>001101=>1
[2,4,7,6,3,1,5]=>001110=>2
[2,4,7,6,3,5,1]=>001101=>1
[2,4,7,6,5,1,3]=>001110=>2
[2,4,7,6,5,3,1]=>001111=>1
[2,5,1,3,4,6,7]=>010000=>5
[2,5,1,3,4,7,6]=>010001=>3
[2,5,1,3,6,4,7]=>010010=>4
[2,5,1,3,6,7,4]=>010001=>3
[2,5,1,3,7,4,6]=>010010=>4
[2,5,1,3,7,6,4]=>010011=>2
[2,5,1,4,3,6,7]=>010100=>4
[2,5,1,4,3,7,6]=>010101=>3
[2,5,1,4,6,3,7]=>010010=>4
[2,5,1,4,6,7,3]=>010001=>3
[2,5,1,4,7,3,6]=>010010=>4
[2,5,1,4,7,6,3]=>010011=>2
[2,5,1,6,3,4,7]=>010100=>4
[2,5,1,6,3,7,4]=>010101=>3
[2,5,1,6,4,3,7]=>010110=>2
[2,5,1,6,4,7,3]=>010101=>3
[2,5,1,6,7,3,4]=>010010=>4
[2,5,1,6,7,4,3]=>010011=>2
[2,5,1,7,3,4,6]=>010100=>4
[2,5,1,7,3,6,4]=>010101=>3
[2,5,1,7,4,3,6]=>010110=>2
[2,5,1,7,4,6,3]=>010101=>3
[2,5,1,7,6,3,4]=>010110=>2
[2,5,1,7,6,4,3]=>010111=>1
[2,5,3,1,4,6,7]=>011000=>4
[2,5,3,1,4,7,6]=>011001=>3
[2,5,3,1,6,4,7]=>011010=>3
[2,5,3,1,6,7,4]=>011001=>3
[2,5,3,1,7,4,6]=>011010=>3
[2,5,3,1,7,6,4]=>011011=>2
[2,5,3,4,1,6,7]=>010100=>4
[2,5,3,4,1,7,6]=>010101=>3
[2,5,3,4,6,1,7]=>010010=>4
[2,5,3,4,6,7,1]=>010001=>3
[2,5,3,4,7,1,6]=>010010=>4
[2,5,3,4,7,6,1]=>010011=>2
[2,5,3,6,1,4,7]=>010100=>4
[2,5,3,6,1,7,4]=>010101=>3
[2,5,3,6,4,1,7]=>010110=>2
[2,5,3,6,4,7,1]=>010101=>3
[2,5,3,6,7,1,4]=>010010=>4
[2,5,3,6,7,4,1]=>010011=>2
[2,5,3,7,1,4,6]=>010100=>4
[2,5,3,7,1,6,4]=>010101=>3
[2,5,3,7,4,1,6]=>010110=>2
[2,5,3,7,4,6,1]=>010101=>3
[2,5,3,7,6,1,4]=>010110=>2
[2,5,3,7,6,4,1]=>010111=>1
[2,5,4,1,3,6,7]=>011000=>4
[2,5,4,1,3,7,6]=>011001=>3
[2,5,4,1,6,3,7]=>011010=>3
[2,5,4,1,6,7,3]=>011001=>3
[2,5,4,1,7,3,6]=>011010=>3
[2,5,4,1,7,6,3]=>011011=>2
[2,5,4,3,1,6,7]=>011100=>3
[2,5,4,3,1,7,6]=>011101=>2
[2,5,4,3,6,1,7]=>011010=>3
[2,5,4,3,6,7,1]=>011001=>3
[2,5,4,3,7,1,6]=>011010=>3
[2,5,4,3,7,6,1]=>011011=>2
[2,5,4,6,1,3,7]=>010100=>4
[2,5,4,6,1,7,3]=>010101=>3
[2,5,4,6,3,1,7]=>010110=>2
[2,5,4,6,3,7,1]=>010101=>3
[2,5,4,6,7,1,3]=>010010=>4
[2,5,4,6,7,3,1]=>010011=>2
[2,5,4,7,1,3,6]=>010100=>4
[2,5,4,7,1,6,3]=>010101=>3
[2,5,4,7,3,1,6]=>010110=>2
[2,5,4,7,3,6,1]=>010101=>3
[2,5,4,7,6,1,3]=>010110=>2
[2,5,4,7,6,3,1]=>010111=>1
[2,5,6,1,3,4,7]=>001000=>4
[2,5,6,1,3,7,4]=>001001=>2
[2,5,6,1,4,3,7]=>001010=>2
[2,5,6,1,4,7,3]=>001001=>2
[2,5,6,1,7,3,4]=>001010=>2
[2,5,6,1,7,4,3]=>001011=>1
[2,5,6,3,1,4,7]=>001100=>3
[2,5,6,3,1,7,4]=>001101=>1
[2,5,6,3,4,1,7]=>001010=>2
[2,5,6,3,4,7,1]=>001001=>2
[2,5,6,3,7,1,4]=>001010=>2
[2,5,6,3,7,4,1]=>001011=>1
[2,5,6,4,1,3,7]=>001100=>3
[2,5,6,4,1,7,3]=>001101=>1
[2,5,6,4,3,1,7]=>001110=>2
[2,5,6,4,3,7,1]=>001101=>1
[2,5,6,4,7,1,3]=>001010=>2
[2,5,6,4,7,3,1]=>001011=>1
[2,5,6,7,1,3,4]=>000100=>3
[2,5,6,7,1,4,3]=>000101=>1
[2,5,6,7,3,1,4]=>000110=>2
[2,5,6,7,3,4,1]=>000101=>1
[2,5,6,7,4,1,3]=>000110=>2
[2,5,6,7,4,3,1]=>000111=>1
[2,5,7,1,3,4,6]=>001000=>4
[2,5,7,1,3,6,4]=>001001=>2
[2,5,7,1,4,3,6]=>001010=>2
[2,5,7,1,4,6,3]=>001001=>2
[2,5,7,1,6,3,4]=>001010=>2
[2,5,7,1,6,4,3]=>001011=>1
[2,5,7,3,1,4,6]=>001100=>3
[2,5,7,3,1,6,4]=>001101=>1
[2,5,7,3,4,1,6]=>001010=>2
[2,5,7,3,4,6,1]=>001001=>2
[2,5,7,3,6,1,4]=>001010=>2
[2,5,7,3,6,4,1]=>001011=>1
[2,5,7,4,1,3,6]=>001100=>3
[2,5,7,4,1,6,3]=>001101=>1
[2,5,7,4,3,1,6]=>001110=>2
[2,5,7,4,3,6,1]=>001101=>1
[2,5,7,4,6,1,3]=>001010=>2
[2,5,7,4,6,3,1]=>001011=>1
[2,5,7,6,1,3,4]=>001100=>3
[2,5,7,6,1,4,3]=>001101=>1
[2,5,7,6,3,1,4]=>001110=>2
[2,5,7,6,3,4,1]=>001101=>1
[2,5,7,6,4,1,3]=>001110=>2
[2,5,7,6,4,3,1]=>001111=>1
[2,6,1,3,4,5,7]=>010000=>5
[2,6,1,3,4,7,5]=>010001=>3
[2,6,1,3,5,4,7]=>010010=>4
[2,6,1,3,5,7,4]=>010001=>3
[2,6,1,3,7,4,5]=>010010=>4
[2,6,1,3,7,5,4]=>010011=>2
[2,6,1,4,3,5,7]=>010100=>4
[2,6,1,4,3,7,5]=>010101=>3
[2,6,1,4,5,3,7]=>010010=>4
[2,6,1,4,5,7,3]=>010001=>3
[2,6,1,4,7,3,5]=>010010=>4
[2,6,1,4,7,5,3]=>010011=>2
[2,6,1,5,3,4,7]=>010100=>4
[2,6,1,5,3,7,4]=>010101=>3
[2,6,1,5,4,3,7]=>010110=>2
[2,6,1,5,4,7,3]=>010101=>3
[2,6,1,5,7,3,4]=>010010=>4
[2,6,1,5,7,4,3]=>010011=>2
[2,6,1,7,3,4,5]=>010100=>4
[2,6,1,7,3,5,4]=>010101=>3
[2,6,1,7,4,3,5]=>010110=>2
[2,6,1,7,4,5,3]=>010101=>3
[2,6,1,7,5,3,4]=>010110=>2
[2,6,1,7,5,4,3]=>010111=>1
[2,6,3,1,4,5,7]=>011000=>4
[2,6,3,1,4,7,5]=>011001=>3
[2,6,3,1,5,4,7]=>011010=>3
[2,6,3,1,5,7,4]=>011001=>3
[2,6,3,1,7,4,5]=>011010=>3
[2,6,3,1,7,5,4]=>011011=>2
[2,6,3,4,1,5,7]=>010100=>4
[2,6,3,4,1,7,5]=>010101=>3
[2,6,3,4,5,1,7]=>010010=>4
[2,6,3,4,5,7,1]=>010001=>3
[2,6,3,4,7,1,5]=>010010=>4
[2,6,3,4,7,5,1]=>010011=>2
[2,6,3,5,1,4,7]=>010100=>4
[2,6,3,5,1,7,4]=>010101=>3
[2,6,3,5,4,1,7]=>010110=>2
[2,6,3,5,4,7,1]=>010101=>3
[2,6,3,5,7,1,4]=>010010=>4
[2,6,3,5,7,4,1]=>010011=>2
[2,6,3,7,1,4,5]=>010100=>4
[2,6,3,7,1,5,4]=>010101=>3
[2,6,3,7,4,1,5]=>010110=>2
[2,6,3,7,4,5,1]=>010101=>3
[2,6,3,7,5,1,4]=>010110=>2
[2,6,3,7,5,4,1]=>010111=>1
[2,6,4,1,3,5,7]=>011000=>4
[2,6,4,1,3,7,5]=>011001=>3
[2,6,4,1,5,3,7]=>011010=>3
[2,6,4,1,5,7,3]=>011001=>3
[2,6,4,1,7,3,5]=>011010=>3
[2,6,4,1,7,5,3]=>011011=>2
[2,6,4,3,1,5,7]=>011100=>3
[2,6,4,3,1,7,5]=>011101=>2
[2,6,4,3,5,1,7]=>011010=>3
[2,6,4,3,5,7,1]=>011001=>3
[2,6,4,3,7,1,5]=>011010=>3
[2,6,4,3,7,5,1]=>011011=>2
[2,6,4,5,1,3,7]=>010100=>4
[2,6,4,5,1,7,3]=>010101=>3
[2,6,4,5,3,1,7]=>010110=>2
[2,6,4,5,3,7,1]=>010101=>3
[2,6,4,5,7,1,3]=>010010=>4
[2,6,4,5,7,3,1]=>010011=>2
[2,6,4,7,1,3,5]=>010100=>4
[2,6,4,7,1,5,3]=>010101=>3
[2,6,4,7,3,1,5]=>010110=>2
[2,6,4,7,3,5,1]=>010101=>3
[2,6,4,7,5,1,3]=>010110=>2
[2,6,4,7,5,3,1]=>010111=>1
[2,6,5,1,3,4,7]=>011000=>4
[2,6,5,1,3,7,4]=>011001=>3
[2,6,5,1,4,3,7]=>011010=>3
[2,6,5,1,4,7,3]=>011001=>3
[2,6,5,1,7,3,4]=>011010=>3
[2,6,5,1,7,4,3]=>011011=>2
[2,6,5,3,1,4,7]=>011100=>3
[2,6,5,3,1,7,4]=>011101=>2
[2,6,5,3,4,1,7]=>011010=>3
[2,6,5,3,4,7,1]=>011001=>3
[2,6,5,3,7,1,4]=>011010=>3
[2,6,5,3,7,4,1]=>011011=>2
[2,6,5,4,1,3,7]=>011100=>3
[2,6,5,4,1,7,3]=>011101=>2
[2,6,5,4,3,1,7]=>011110=>2
[2,6,5,4,3,7,1]=>011101=>2
[2,6,5,4,7,1,3]=>011010=>3
[2,6,5,4,7,3,1]=>011011=>2
[2,6,5,7,1,3,4]=>010100=>4
[2,6,5,7,1,4,3]=>010101=>3
[2,6,5,7,3,1,4]=>010110=>2
[2,6,5,7,3,4,1]=>010101=>3
[2,6,5,7,4,1,3]=>010110=>2
[2,6,5,7,4,3,1]=>010111=>1
[2,6,7,1,3,4,5]=>001000=>4
[2,6,7,1,3,5,4]=>001001=>2
[2,6,7,1,4,3,5]=>001010=>2
[2,6,7,1,4,5,3]=>001001=>2
[2,6,7,1,5,3,4]=>001010=>2
[2,6,7,1,5,4,3]=>001011=>1
[2,6,7,3,1,4,5]=>001100=>3
[2,6,7,3,1,5,4]=>001101=>1
[2,6,7,3,4,1,5]=>001010=>2
[2,6,7,3,4,5,1]=>001001=>2
[2,6,7,3,5,1,4]=>001010=>2
[2,6,7,3,5,4,1]=>001011=>1
[2,6,7,4,1,3,5]=>001100=>3
[2,6,7,4,1,5,3]=>001101=>1
[2,6,7,4,3,1,5]=>001110=>2
[2,6,7,4,3,5,1]=>001101=>1
[2,6,7,4,5,1,3]=>001010=>2
[2,6,7,4,5,3,1]=>001011=>1
[2,6,7,5,1,3,4]=>001100=>3
[2,6,7,5,1,4,3]=>001101=>1
[2,6,7,5,3,1,4]=>001110=>2
[2,6,7,5,3,4,1]=>001101=>1
[2,6,7,5,4,1,3]=>001110=>2
[2,6,7,5,4,3,1]=>001111=>1
[2,7,1,3,4,5,6]=>010000=>5
[2,7,1,3,4,6,5]=>010001=>3
[2,7,1,3,5,4,6]=>010010=>4
[2,7,1,3,5,6,4]=>010001=>3
[2,7,1,3,6,4,5]=>010010=>4
[2,7,1,3,6,5,4]=>010011=>2
[2,7,1,4,3,5,6]=>010100=>4
[2,7,1,4,3,6,5]=>010101=>3
[2,7,1,4,5,3,6]=>010010=>4
[2,7,1,4,5,6,3]=>010001=>3
[2,7,1,4,6,3,5]=>010010=>4
[2,7,1,4,6,5,3]=>010011=>2
[2,7,1,5,3,4,6]=>010100=>4
[2,7,1,5,3,6,4]=>010101=>3
[2,7,1,5,4,3,6]=>010110=>2
[2,7,1,5,4,6,3]=>010101=>3
[2,7,1,5,6,3,4]=>010010=>4
[2,7,1,5,6,4,3]=>010011=>2
[2,7,1,6,3,4,5]=>010100=>4
[2,7,1,6,3,5,4]=>010101=>3
[2,7,1,6,4,3,5]=>010110=>2
[2,7,1,6,4,5,3]=>010101=>3
[2,7,1,6,5,3,4]=>010110=>2
[2,7,1,6,5,4,3]=>010111=>1
[2,7,3,1,4,5,6]=>011000=>4
[2,7,3,1,4,6,5]=>011001=>3
[2,7,3,1,5,4,6]=>011010=>3
[2,7,3,1,5,6,4]=>011001=>3
[2,7,3,1,6,4,5]=>011010=>3
[2,7,3,1,6,5,4]=>011011=>2
[2,7,3,4,1,5,6]=>010100=>4
[2,7,3,4,1,6,5]=>010101=>3
[2,7,3,4,5,1,6]=>010010=>4
[2,7,3,4,5,6,1]=>010001=>3
[2,7,3,4,6,1,5]=>010010=>4
[2,7,3,4,6,5,1]=>010011=>2
[2,7,3,5,1,4,6]=>010100=>4
[2,7,3,5,1,6,4]=>010101=>3
[2,7,3,5,4,1,6]=>010110=>2
[2,7,3,5,4,6,1]=>010101=>3
[2,7,3,5,6,1,4]=>010010=>4
[2,7,3,5,6,4,1]=>010011=>2
[2,7,3,6,1,4,5]=>010100=>4
[2,7,3,6,1,5,4]=>010101=>3
[2,7,3,6,4,1,5]=>010110=>2
[2,7,3,6,4,5,1]=>010101=>3
[2,7,3,6,5,1,4]=>010110=>2
[2,7,3,6,5,4,1]=>010111=>1
[2,7,4,1,3,5,6]=>011000=>4
[2,7,4,1,3,6,5]=>011001=>3
[2,7,4,1,5,3,6]=>011010=>3
[2,7,4,1,5,6,3]=>011001=>3
[2,7,4,1,6,3,5]=>011010=>3
[2,7,4,1,6,5,3]=>011011=>2
[2,7,4,3,1,5,6]=>011100=>3
[2,7,4,3,1,6,5]=>011101=>2
[2,7,4,3,5,1,6]=>011010=>3
[2,7,4,3,5,6,1]=>011001=>3
[2,7,4,3,6,1,5]=>011010=>3
[2,7,4,3,6,5,1]=>011011=>2
[2,7,4,5,1,3,6]=>010100=>4
[2,7,4,5,1,6,3]=>010101=>3
[2,7,4,5,3,1,6]=>010110=>2
[2,7,4,5,3,6,1]=>010101=>3
[2,7,4,5,6,1,3]=>010010=>4
[2,7,4,5,6,3,1]=>010011=>2
[2,7,4,6,1,3,5]=>010100=>4
[2,7,4,6,1,5,3]=>010101=>3
[2,7,4,6,3,1,5]=>010110=>2
[2,7,4,6,3,5,1]=>010101=>3
[2,7,4,6,5,1,3]=>010110=>2
[2,7,4,6,5,3,1]=>010111=>1
[2,7,5,1,3,4,6]=>011000=>4
[2,7,5,1,3,6,4]=>011001=>3
[2,7,5,1,4,3,6]=>011010=>3
[2,7,5,1,4,6,3]=>011001=>3
[2,7,5,1,6,3,4]=>011010=>3
[2,7,5,1,6,4,3]=>011011=>2
[2,7,5,3,1,4,6]=>011100=>3
[2,7,5,3,1,6,4]=>011101=>2
[2,7,5,3,4,1,6]=>011010=>3
[2,7,5,3,4,6,1]=>011001=>3
[2,7,5,3,6,1,4]=>011010=>3
[2,7,5,3,6,4,1]=>011011=>2
[2,7,5,4,1,3,6]=>011100=>3
[2,7,5,4,1,6,3]=>011101=>2
[2,7,5,4,3,1,6]=>011110=>2
[2,7,5,4,3,6,1]=>011101=>2
[2,7,5,4,6,1,3]=>011010=>3
[2,7,5,4,6,3,1]=>011011=>2
[2,7,5,6,1,3,4]=>010100=>4
[2,7,5,6,1,4,3]=>010101=>3
[2,7,5,6,3,1,4]=>010110=>2
[2,7,5,6,3,4,1]=>010101=>3
[2,7,5,6,4,1,3]=>010110=>2
[2,7,5,6,4,3,1]=>010111=>1
[2,7,6,1,3,4,5]=>011000=>4
[2,7,6,1,3,5,4]=>011001=>3
[2,7,6,1,4,3,5]=>011010=>3
[2,7,6,1,4,5,3]=>011001=>3
[2,7,6,1,5,3,4]=>011010=>3
[2,7,6,1,5,4,3]=>011011=>2
[2,7,6,3,1,4,5]=>011100=>3
[2,7,6,3,1,5,4]=>011101=>2
[2,7,6,3,4,1,5]=>011010=>3
[2,7,6,3,4,5,1]=>011001=>3
[2,7,6,3,5,1,4]=>011010=>3
[2,7,6,3,5,4,1]=>011011=>2
[2,7,6,4,1,3,5]=>011100=>3
[2,7,6,4,1,5,3]=>011101=>2
[2,7,6,4,3,1,5]=>011110=>2
[2,7,6,4,3,5,1]=>011101=>2
[2,7,6,4,5,1,3]=>011010=>3
[2,7,6,4,5,3,1]=>011011=>2
[2,7,6,5,1,3,4]=>011100=>3
[2,7,6,5,1,4,3]=>011101=>2
[2,7,6,5,3,1,4]=>011110=>2
[2,7,6,5,3,4,1]=>011101=>2
[2,7,6,5,4,1,3]=>011110=>2
[2,7,6,5,4,3,1]=>011111=>1
[3,1,2,4,5,6,7]=>100000=>6
[3,1,2,4,5,7,6]=>100001=>5
[3,1,2,4,6,5,7]=>100010=>5
[3,1,2,4,6,7,5]=>100001=>5
[3,1,2,4,7,5,6]=>100010=>5
[3,1,2,4,7,6,5]=>100011=>4
[3,1,2,5,4,6,7]=>100100=>6
[3,1,2,5,4,7,6]=>100101=>4
[3,1,2,5,6,4,7]=>100010=>5
[3,1,2,5,6,7,4]=>100001=>5
[3,1,2,5,7,4,6]=>100010=>5
[3,1,2,5,7,6,4]=>100011=>4
[3,1,2,6,4,5,7]=>100100=>6
[3,1,2,6,4,7,5]=>100101=>4
[3,1,2,6,5,4,7]=>100110=>4
[3,1,2,6,5,7,4]=>100101=>4
[3,1,2,6,7,4,5]=>100010=>5
[3,1,2,6,7,5,4]=>100011=>4
[3,1,2,7,4,5,6]=>100100=>6
[3,1,2,7,4,6,5]=>100101=>4
[3,1,2,7,5,4,6]=>100110=>4
[3,1,2,7,5,6,4]=>100101=>4
[3,1,2,7,6,4,5]=>100110=>4
[3,1,2,7,6,5,4]=>100111=>3
[3,1,4,2,5,6,7]=>101000=>6
[3,1,4,2,5,7,6]=>101001=>5
[3,1,4,2,6,5,7]=>101010=>6
[3,1,4,2,6,7,5]=>101001=>5
[3,1,4,2,7,5,6]=>101010=>6
[3,1,4,2,7,6,5]=>101011=>3
[3,1,4,5,2,6,7]=>100100=>6
[3,1,4,5,2,7,6]=>100101=>4
[3,1,4,5,6,2,7]=>100010=>5
[3,1,4,5,6,7,2]=>100001=>5
[3,1,4,5,7,2,6]=>100010=>5
[3,1,4,5,7,6,2]=>100011=>4
[3,1,4,6,2,5,7]=>100100=>6
[3,1,4,6,2,7,5]=>100101=>4
[3,1,4,6,5,2,7]=>100110=>4
[3,1,4,6,5,7,2]=>100101=>4
[3,1,4,6,7,2,5]=>100010=>5
[3,1,4,6,7,5,2]=>100011=>4
[3,1,4,7,2,5,6]=>100100=>6
[3,1,4,7,2,6,5]=>100101=>4
[3,1,4,7,5,2,6]=>100110=>4
[3,1,4,7,5,6,2]=>100101=>4
[3,1,4,7,6,2,5]=>100110=>4
[3,1,4,7,6,5,2]=>100111=>3
[3,1,5,2,4,6,7]=>101000=>6
[3,1,5,2,4,7,6]=>101001=>5
[3,1,5,2,6,4,7]=>101010=>6
[3,1,5,2,6,7,4]=>101001=>5
[3,1,5,2,7,4,6]=>101010=>6
[3,1,5,2,7,6,4]=>101011=>3
[3,1,5,4,2,6,7]=>101100=>5
[3,1,5,4,2,7,6]=>101101=>4
[3,1,5,4,6,2,7]=>101010=>6
[3,1,5,4,6,7,2]=>101001=>5
[3,1,5,4,7,2,6]=>101010=>6
[3,1,5,4,7,6,2]=>101011=>3
[3,1,5,6,2,4,7]=>100100=>6
[3,1,5,6,2,7,4]=>100101=>4
[3,1,5,6,4,2,7]=>100110=>4
[3,1,5,6,4,7,2]=>100101=>4
[3,1,5,6,7,2,4]=>100010=>5
[3,1,5,6,7,4,2]=>100011=>4
[3,1,5,7,2,4,6]=>100100=>6
[3,1,5,7,2,6,4]=>100101=>4
[3,1,5,7,4,2,6]=>100110=>4
[3,1,5,7,4,6,2]=>100101=>4
[3,1,5,7,6,2,4]=>100110=>4
[3,1,5,7,6,4,2]=>100111=>3
[3,1,6,2,4,5,7]=>101000=>6
[3,1,6,2,4,7,5]=>101001=>5
[3,1,6,2,5,4,7]=>101010=>6
[3,1,6,2,5,7,4]=>101001=>5
[3,1,6,2,7,4,5]=>101010=>6
[3,1,6,2,7,5,4]=>101011=>3
[3,1,6,4,2,5,7]=>101100=>5
[3,1,6,4,2,7,5]=>101101=>4
[3,1,6,4,5,2,7]=>101010=>6
[3,1,6,4,5,7,2]=>101001=>5
[3,1,6,4,7,2,5]=>101010=>6
[3,1,6,4,7,5,2]=>101011=>3
[3,1,6,5,2,4,7]=>101100=>5
[3,1,6,5,2,7,4]=>101101=>4
[3,1,6,5,4,2,7]=>101110=>4
[3,1,6,5,4,7,2]=>101101=>4
[3,1,6,5,7,2,4]=>101010=>6
[3,1,6,5,7,4,2]=>101011=>3
[3,1,6,7,2,4,5]=>100100=>6
[3,1,6,7,2,5,4]=>100101=>4
[3,1,6,7,4,2,5]=>100110=>4
[3,1,6,7,4,5,2]=>100101=>4
[3,1,6,7,5,2,4]=>100110=>4
[3,1,6,7,5,4,2]=>100111=>3
[3,1,7,2,4,5,6]=>101000=>6
[3,1,7,2,4,6,5]=>101001=>5
[3,1,7,2,5,4,6]=>101010=>6
[3,1,7,2,5,6,4]=>101001=>5
[3,1,7,2,6,4,5]=>101010=>6
[3,1,7,2,6,5,4]=>101011=>3
[3,1,7,4,2,5,6]=>101100=>5
[3,1,7,4,2,6,5]=>101101=>4
[3,1,7,4,5,2,6]=>101010=>6
[3,1,7,4,5,6,2]=>101001=>5
[3,1,7,4,6,2,5]=>101010=>6
[3,1,7,4,6,5,2]=>101011=>3
[3,1,7,5,2,4,6]=>101100=>5
[3,1,7,5,2,6,4]=>101101=>4
[3,1,7,5,4,2,6]=>101110=>4
[3,1,7,5,4,6,2]=>101101=>4
[3,1,7,5,6,2,4]=>101010=>6
[3,1,7,5,6,4,2]=>101011=>3
[3,1,7,6,2,4,5]=>101100=>5
[3,1,7,6,2,5,4]=>101101=>4
[3,1,7,6,4,2,5]=>101110=>4
[3,1,7,6,4,5,2]=>101101=>4
[3,1,7,6,5,2,4]=>101110=>4
[3,1,7,6,5,4,2]=>101111=>2
[3,2,1,4,5,6,7]=>110000=>6
[3,2,1,4,5,7,6]=>110001=>5
[3,2,1,4,6,5,7]=>110010=>6
[3,2,1,4,6,7,5]=>110001=>5
[3,2,1,4,7,5,6]=>110010=>6
[3,2,1,4,7,6,5]=>110011=>4
[3,2,1,5,4,6,7]=>110100=>6
[3,2,1,5,4,7,6]=>110101=>5
[3,2,1,5,6,4,7]=>110010=>6
[3,2,1,5,6,7,4]=>110001=>5
[3,2,1,5,7,4,6]=>110010=>6
[3,2,1,5,7,6,4]=>110011=>4
[3,2,1,6,4,5,7]=>110100=>6
[3,2,1,6,4,7,5]=>110101=>5
[3,2,1,6,5,4,7]=>110110=>6
[3,2,1,6,5,7,4]=>110101=>5
[3,2,1,6,7,4,5]=>110010=>6
[3,2,1,6,7,5,4]=>110011=>4
[3,2,1,7,4,5,6]=>110100=>6
[3,2,1,7,4,6,5]=>110101=>5
[3,2,1,7,5,4,6]=>110110=>6
[3,2,1,7,5,6,4]=>110101=>5
[3,2,1,7,6,4,5]=>110110=>6
[3,2,1,7,6,5,4]=>110111=>3
[3,2,4,1,5,6,7]=>101000=>6
[3,2,4,1,5,7,6]=>101001=>5
[3,2,4,1,6,5,7]=>101010=>6
[3,2,4,1,6,7,5]=>101001=>5
[3,2,4,1,7,5,6]=>101010=>6
[3,2,4,1,7,6,5]=>101011=>3
[3,2,4,5,1,6,7]=>100100=>6
[3,2,4,5,1,7,6]=>100101=>4
[3,2,4,5,6,1,7]=>100010=>5
[3,2,4,5,6,7,1]=>100001=>5
[3,2,4,5,7,1,6]=>100010=>5
[3,2,4,5,7,6,1]=>100011=>4
[3,2,4,6,1,5,7]=>100100=>6
[3,2,4,6,1,7,5]=>100101=>4
[3,2,4,6,5,1,7]=>100110=>4
[3,2,4,6,5,7,1]=>100101=>4
[3,2,4,6,7,1,5]=>100010=>5
[3,2,4,6,7,5,1]=>100011=>4
[3,2,4,7,1,5,6]=>100100=>6
[3,2,4,7,1,6,5]=>100101=>4
[3,2,4,7,5,1,6]=>100110=>4
[3,2,4,7,5,6,1]=>100101=>4
[3,2,4,7,6,1,5]=>100110=>4
[3,2,4,7,6,5,1]=>100111=>3
[3,2,5,1,4,6,7]=>101000=>6
[3,2,5,1,4,7,6]=>101001=>5
[3,2,5,1,6,4,7]=>101010=>6
[3,2,5,1,6,7,4]=>101001=>5
[3,2,5,1,7,4,6]=>101010=>6
[3,2,5,1,7,6,4]=>101011=>3
[3,2,5,4,1,6,7]=>101100=>5
[3,2,5,4,1,7,6]=>101101=>4
[3,2,5,4,6,1,7]=>101010=>6
[3,2,5,4,6,7,1]=>101001=>5
[3,2,5,4,7,1,6]=>101010=>6
[3,2,5,4,7,6,1]=>101011=>3
[3,2,5,6,1,4,7]=>100100=>6
[3,2,5,6,1,7,4]=>100101=>4
[3,2,5,6,4,1,7]=>100110=>4
[3,2,5,6,4,7,1]=>100101=>4
[3,2,5,6,7,1,4]=>100010=>5
[3,2,5,6,7,4,1]=>100011=>4
[3,2,5,7,1,4,6]=>100100=>6
[3,2,5,7,1,6,4]=>100101=>4
[3,2,5,7,4,1,6]=>100110=>4
[3,2,5,7,4,6,1]=>100101=>4
[3,2,5,7,6,1,4]=>100110=>4
[3,2,5,7,6,4,1]=>100111=>3
[3,2,6,1,4,5,7]=>101000=>6
[3,2,6,1,4,7,5]=>101001=>5
[3,2,6,1,5,4,7]=>101010=>6
[3,2,6,1,5,7,4]=>101001=>5
[3,2,6,1,7,4,5]=>101010=>6
[3,2,6,1,7,5,4]=>101011=>3
[3,2,6,4,1,5,7]=>101100=>5
[3,2,6,4,1,7,5]=>101101=>4
[3,2,6,4,5,1,7]=>101010=>6
[3,2,6,4,5,7,1]=>101001=>5
[3,2,6,4,7,1,5]=>101010=>6
[3,2,6,4,7,5,1]=>101011=>3
[3,2,6,5,1,4,7]=>101100=>5
[3,2,6,5,1,7,4]=>101101=>4
[3,2,6,5,4,1,7]=>101110=>4
[3,2,6,5,4,7,1]=>101101=>4
[3,2,6,5,7,1,4]=>101010=>6
[3,2,6,5,7,4,1]=>101011=>3
[3,2,6,7,1,4,5]=>100100=>6
[3,2,6,7,1,5,4]=>100101=>4
[3,2,6,7,4,1,5]=>100110=>4
[3,2,6,7,4,5,1]=>100101=>4
[3,2,6,7,5,1,4]=>100110=>4
[3,2,6,7,5,4,1]=>100111=>3
[3,2,7,1,4,5,6]=>101000=>6
[3,2,7,1,4,6,5]=>101001=>5
[3,2,7,1,5,4,6]=>101010=>6
[3,2,7,1,5,6,4]=>101001=>5
[3,2,7,1,6,4,5]=>101010=>6
[3,2,7,1,6,5,4]=>101011=>3
[3,2,7,4,1,5,6]=>101100=>5
[3,2,7,4,1,6,5]=>101101=>4
[3,2,7,4,5,1,6]=>101010=>6
[3,2,7,4,5,6,1]=>101001=>5
[3,2,7,4,6,1,5]=>101010=>6
[3,2,7,4,6,5,1]=>101011=>3
[3,2,7,5,1,4,6]=>101100=>5
[3,2,7,5,1,6,4]=>101101=>4
[3,2,7,5,4,1,6]=>101110=>4
[3,2,7,5,4,6,1]=>101101=>4
[3,2,7,5,6,1,4]=>101010=>6
[3,2,7,5,6,4,1]=>101011=>3
[3,2,7,6,1,4,5]=>101100=>5
[3,2,7,6,1,5,4]=>101101=>4
[3,2,7,6,4,1,5]=>101110=>4
[3,2,7,6,4,5,1]=>101101=>4
[3,2,7,6,5,1,4]=>101110=>4
[3,2,7,6,5,4,1]=>101111=>2
[3,4,1,2,5,6,7]=>010000=>5
[3,4,1,2,5,7,6]=>010001=>3
[3,4,1,2,6,5,7]=>010010=>4
[3,4,1,2,6,7,5]=>010001=>3
[3,4,1,2,7,5,6]=>010010=>4
[3,4,1,2,7,6,5]=>010011=>2
[3,4,1,5,2,6,7]=>010100=>4
[3,4,1,5,2,7,6]=>010101=>3
[3,4,1,5,6,2,7]=>010010=>4
[3,4,1,5,6,7,2]=>010001=>3
[3,4,1,5,7,2,6]=>010010=>4
[3,4,1,5,7,6,2]=>010011=>2
[3,4,1,6,2,5,7]=>010100=>4
[3,4,1,6,2,7,5]=>010101=>3
[3,4,1,6,5,2,7]=>010110=>2
[3,4,1,6,5,7,2]=>010101=>3
[3,4,1,6,7,2,5]=>010010=>4
[3,4,1,6,7,5,2]=>010011=>2
[3,4,1,7,2,5,6]=>010100=>4
[3,4,1,7,2,6,5]=>010101=>3
[3,4,1,7,5,2,6]=>010110=>2
[3,4,1,7,5,6,2]=>010101=>3
[3,4,1,7,6,2,5]=>010110=>2
[3,4,1,7,6,5,2]=>010111=>1
[3,4,2,1,5,6,7]=>011000=>4
[3,4,2,1,5,7,6]=>011001=>3
[3,4,2,1,6,5,7]=>011010=>3
[3,4,2,1,6,7,5]=>011001=>3
[3,4,2,1,7,5,6]=>011010=>3
[3,4,2,1,7,6,5]=>011011=>2
[3,4,2,5,1,6,7]=>010100=>4
[3,4,2,5,1,7,6]=>010101=>3
[3,4,2,5,6,1,7]=>010010=>4
[3,4,2,5,6,7,1]=>010001=>3
[3,4,2,5,7,1,6]=>010010=>4
[3,4,2,5,7,6,1]=>010011=>2
[3,4,2,6,1,5,7]=>010100=>4
[3,4,2,6,1,7,5]=>010101=>3
[3,4,2,6,5,1,7]=>010110=>2
[3,4,2,6,5,7,1]=>010101=>3
[3,4,2,6,7,1,5]=>010010=>4
[3,4,2,6,7,5,1]=>010011=>2
[3,4,2,7,1,5,6]=>010100=>4
[3,4,2,7,1,6,5]=>010101=>3
[3,4,2,7,5,1,6]=>010110=>2
[3,4,2,7,5,6,1]=>010101=>3
[3,4,2,7,6,1,5]=>010110=>2
[3,4,2,7,6,5,1]=>010111=>1
[3,4,5,1,2,6,7]=>001000=>4
[3,4,5,1,2,7,6]=>001001=>2
[3,4,5,1,6,2,7]=>001010=>2
[3,4,5,1,6,7,2]=>001001=>2
[3,4,5,1,7,2,6]=>001010=>2
[3,4,5,1,7,6,2]=>001011=>1
[3,4,5,2,1,6,7]=>001100=>3
[3,4,5,2,1,7,6]=>001101=>1
[3,4,5,2,6,1,7]=>001010=>2
[3,4,5,2,6,7,1]=>001001=>2
[3,4,5,2,7,1,6]=>001010=>2
[3,4,5,2,7,6,1]=>001011=>1
[3,4,5,6,1,2,7]=>000100=>3
[3,4,5,6,1,7,2]=>000101=>1
[3,4,5,6,2,1,7]=>000110=>2
[3,4,5,6,2,7,1]=>000101=>1
[3,4,5,6,7,1,2]=>000010=>2
[3,4,5,6,7,2,1]=>000011=>1
[3,4,5,7,1,2,6]=>000100=>3
[3,4,5,7,1,6,2]=>000101=>1
[3,4,5,7,2,1,6]=>000110=>2
[3,4,5,7,2,6,1]=>000101=>1
[3,4,5,7,6,1,2]=>000110=>2
[3,4,5,7,6,2,1]=>000111=>1
[3,4,6,1,2,5,7]=>001000=>4
[3,4,6,1,2,7,5]=>001001=>2
[3,4,6,1,5,2,7]=>001010=>2
[3,4,6,1,5,7,2]=>001001=>2
[3,4,6,1,7,2,5]=>001010=>2
[3,4,6,1,7,5,2]=>001011=>1
[3,4,6,2,1,5,7]=>001100=>3
[3,4,6,2,1,7,5]=>001101=>1
[3,4,6,2,5,1,7]=>001010=>2
[3,4,6,2,5,7,1]=>001001=>2
[3,4,6,2,7,1,5]=>001010=>2
[3,4,6,2,7,5,1]=>001011=>1
[3,4,6,5,1,2,7]=>001100=>3
[3,4,6,5,1,7,2]=>001101=>1
[3,4,6,5,2,1,7]=>001110=>2
[3,4,6,5,2,7,1]=>001101=>1
[3,4,6,5,7,1,2]=>001010=>2
[3,4,6,5,7,2,1]=>001011=>1
[3,4,6,7,1,2,5]=>000100=>3
[3,4,6,7,1,5,2]=>000101=>1
[3,4,6,7,2,1,5]=>000110=>2
[3,4,6,7,2,5,1]=>000101=>1
[3,4,6,7,5,1,2]=>000110=>2
[3,4,6,7,5,2,1]=>000111=>1
[3,4,7,1,2,5,6]=>001000=>4
[3,4,7,1,2,6,5]=>001001=>2
[3,4,7,1,5,2,6]=>001010=>2
[3,4,7,1,5,6,2]=>001001=>2
[3,4,7,1,6,2,5]=>001010=>2
[3,4,7,1,6,5,2]=>001011=>1
[3,4,7,2,1,5,6]=>001100=>3
[3,4,7,2,1,6,5]=>001101=>1
[3,4,7,2,5,1,6]=>001010=>2
[3,4,7,2,5,6,1]=>001001=>2
[3,4,7,2,6,1,5]=>001010=>2
[3,4,7,2,6,5,1]=>001011=>1
[3,4,7,5,1,2,6]=>001100=>3
[3,4,7,5,1,6,2]=>001101=>1
[3,4,7,5,2,1,6]=>001110=>2
[3,4,7,5,2,6,1]=>001101=>1
[3,4,7,5,6,1,2]=>001010=>2
[3,4,7,5,6,2,1]=>001011=>1
[3,4,7,6,1,2,5]=>001100=>3
[3,4,7,6,1,5,2]=>001101=>1
[3,4,7,6,2,1,5]=>001110=>2
[3,4,7,6,2,5,1]=>001101=>1
[3,4,7,6,5,1,2]=>001110=>2
[3,4,7,6,5,2,1]=>001111=>1
[3,5,1,2,4,6,7]=>010000=>5
[3,5,1,2,4,7,6]=>010001=>3
[3,5,1,2,6,4,7]=>010010=>4
[3,5,1,2,6,7,4]=>010001=>3
[3,5,1,2,7,4,6]=>010010=>4
[3,5,1,2,7,6,4]=>010011=>2
[3,5,1,4,2,6,7]=>010100=>4
[3,5,1,4,2,7,6]=>010101=>3
[3,5,1,4,6,2,7]=>010010=>4
[3,5,1,4,6,7,2]=>010001=>3
[3,5,1,4,7,2,6]=>010010=>4
[3,5,1,4,7,6,2]=>010011=>2
[3,5,1,6,2,4,7]=>010100=>4
[3,5,1,6,2,7,4]=>010101=>3
[3,5,1,6,4,2,7]=>010110=>2
[3,5,1,6,4,7,2]=>010101=>3
[3,5,1,6,7,2,4]=>010010=>4
[3,5,1,6,7,4,2]=>010011=>2
[3,5,1,7,2,4,6]=>010100=>4
[3,5,1,7,2,6,4]=>010101=>3
[3,5,1,7,4,2,6]=>010110=>2
[3,5,1,7,4,6,2]=>010101=>3
[3,5,1,7,6,2,4]=>010110=>2
[3,5,1,7,6,4,2]=>010111=>1
[3,5,2,1,4,6,7]=>011000=>4
[3,5,2,1,4,7,6]=>011001=>3
[3,5,2,1,6,4,7]=>011010=>3
[3,5,2,1,6,7,4]=>011001=>3
[3,5,2,1,7,4,6]=>011010=>3
[3,5,2,1,7,6,4]=>011011=>2
[3,5,2,4,1,6,7]=>010100=>4
[3,5,2,4,1,7,6]=>010101=>3
[3,5,2,4,6,1,7]=>010010=>4
[3,5,2,4,6,7,1]=>010001=>3
[3,5,2,4,7,1,6]=>010010=>4
[3,5,2,4,7,6,1]=>010011=>2
[3,5,2,6,1,4,7]=>010100=>4
[3,5,2,6,1,7,4]=>010101=>3
[3,5,2,6,4,1,7]=>010110=>2
[3,5,2,6,4,7,1]=>010101=>3
[3,5,2,6,7,1,4]=>010010=>4
[3,5,2,6,7,4,1]=>010011=>2
[3,5,2,7,1,4,6]=>010100=>4
[3,5,2,7,1,6,4]=>010101=>3
[3,5,2,7,4,1,6]=>010110=>2
[3,5,2,7,4,6,1]=>010101=>3
[3,5,2,7,6,1,4]=>010110=>2
[3,5,2,7,6,4,1]=>010111=>1
[3,5,4,1,2,6,7]=>011000=>4
[3,5,4,1,2,7,6]=>011001=>3
[3,5,4,1,6,2,7]=>011010=>3
[3,5,4,1,6,7,2]=>011001=>3
[3,5,4,1,7,2,6]=>011010=>3
[3,5,4,1,7,6,2]=>011011=>2
[3,5,4,2,1,6,7]=>011100=>3
[3,5,4,2,1,7,6]=>011101=>2
[3,5,4,2,6,1,7]=>011010=>3
[3,5,4,2,6,7,1]=>011001=>3
[3,5,4,2,7,1,6]=>011010=>3
[3,5,4,2,7,6,1]=>011011=>2
[3,5,4,6,1,2,7]=>010100=>4
[3,5,4,6,1,7,2]=>010101=>3
[3,5,4,6,2,1,7]=>010110=>2
[3,5,4,6,2,7,1]=>010101=>3
[3,5,4,6,7,1,2]=>010010=>4
[3,5,4,6,7,2,1]=>010011=>2
[3,5,4,7,1,2,6]=>010100=>4
[3,5,4,7,1,6,2]=>010101=>3
[3,5,4,7,2,1,6]=>010110=>2
[3,5,4,7,2,6,1]=>010101=>3
[3,5,4,7,6,1,2]=>010110=>2
[3,5,4,7,6,2,1]=>010111=>1
[3,5,6,1,2,4,7]=>001000=>4
[3,5,6,1,2,7,4]=>001001=>2
[3,5,6,1,4,2,7]=>001010=>2
[3,5,6,1,4,7,2]=>001001=>2
[3,5,6,1,7,2,4]=>001010=>2
[3,5,6,1,7,4,2]=>001011=>1
[3,5,6,2,1,4,7]=>001100=>3
[3,5,6,2,1,7,4]=>001101=>1
[3,5,6,2,4,1,7]=>001010=>2
[3,5,6,2,4,7,1]=>001001=>2
[3,5,6,2,7,1,4]=>001010=>2
[3,5,6,2,7,4,1]=>001011=>1
[3,5,6,4,1,2,7]=>001100=>3
[3,5,6,4,1,7,2]=>001101=>1
[3,5,6,4,2,1,7]=>001110=>2
[3,5,6,4,2,7,1]=>001101=>1
[3,5,6,4,7,1,2]=>001010=>2
[3,5,6,4,7,2,1]=>001011=>1
[3,5,6,7,1,2,4]=>000100=>3
[3,5,6,7,1,4,2]=>000101=>1
[3,5,6,7,2,1,4]=>000110=>2
[3,5,6,7,2,4,1]=>000101=>1
[3,5,6,7,4,1,2]=>000110=>2
[3,5,6,7,4,2,1]=>000111=>1
[3,5,7,1,2,4,6]=>001000=>4
[3,5,7,1,2,6,4]=>001001=>2
[3,5,7,1,4,2,6]=>001010=>2
[3,5,7,1,4,6,2]=>001001=>2
[3,5,7,1,6,2,4]=>001010=>2
[3,5,7,1,6,4,2]=>001011=>1
[3,5,7,2,1,4,6]=>001100=>3
[3,5,7,2,1,6,4]=>001101=>1
[3,5,7,2,4,1,6]=>001010=>2
[3,5,7,2,4,6,1]=>001001=>2
[3,5,7,2,6,1,4]=>001010=>2
[3,5,7,2,6,4,1]=>001011=>1
[3,5,7,4,1,2,6]=>001100=>3
[3,5,7,4,1,6,2]=>001101=>1
[3,5,7,4,2,1,6]=>001110=>2
[3,5,7,4,2,6,1]=>001101=>1
[3,5,7,4,6,1,2]=>001010=>2
[3,5,7,4,6,2,1]=>001011=>1
[3,5,7,6,1,2,4]=>001100=>3
[3,5,7,6,1,4,2]=>001101=>1
[3,5,7,6,2,1,4]=>001110=>2
[3,5,7,6,2,4,1]=>001101=>1
[3,5,7,6,4,1,2]=>001110=>2
[3,5,7,6,4,2,1]=>001111=>1
[3,6,1,2,4,5,7]=>010000=>5
[3,6,1,2,4,7,5]=>010001=>3
[3,6,1,2,5,4,7]=>010010=>4
[3,6,1,2,5,7,4]=>010001=>3
[3,6,1,2,7,4,5]=>010010=>4
[3,6,1,2,7,5,4]=>010011=>2
[3,6,1,4,2,5,7]=>010100=>4
[3,6,1,4,2,7,5]=>010101=>3
[3,6,1,4,5,2,7]=>010010=>4
[3,6,1,4,5,7,2]=>010001=>3
[3,6,1,4,7,2,5]=>010010=>4
[3,6,1,4,7,5,2]=>010011=>2
[3,6,1,5,2,4,7]=>010100=>4
[3,6,1,5,2,7,4]=>010101=>3
[3,6,1,5,4,2,7]=>010110=>2
[3,6,1,5,4,7,2]=>010101=>3
[3,6,1,5,7,2,4]=>010010=>4
[3,6,1,5,7,4,2]=>010011=>2
[3,6,1,7,2,4,5]=>010100=>4
[3,6,1,7,2,5,4]=>010101=>3
[3,6,1,7,4,2,5]=>010110=>2
[3,6,1,7,4,5,2]=>010101=>3
[3,6,1,7,5,2,4]=>010110=>2
[3,6,1,7,5,4,2]=>010111=>1
[3,6,2,1,4,5,7]=>011000=>4
[3,6,2,1,4,7,5]=>011001=>3
[3,6,2,1,5,4,7]=>011010=>3
[3,6,2,1,5,7,4]=>011001=>3
[3,6,2,1,7,4,5]=>011010=>3
[3,6,2,1,7,5,4]=>011011=>2
[3,6,2,4,1,5,7]=>010100=>4
[3,6,2,4,1,7,5]=>010101=>3
[3,6,2,4,5,1,7]=>010010=>4
[3,6,2,4,5,7,1]=>010001=>3
[3,6,2,4,7,1,5]=>010010=>4
[3,6,2,4,7,5,1]=>010011=>2
[3,6,2,5,1,4,7]=>010100=>4
[3,6,2,5,1,7,4]=>010101=>3
[3,6,2,5,4,1,7]=>010110=>2
[3,6,2,5,4,7,1]=>010101=>3
[3,6,2,5,7,1,4]=>010010=>4
[3,6,2,5,7,4,1]=>010011=>2
[3,6,2,7,1,4,5]=>010100=>4
[3,6,2,7,1,5,4]=>010101=>3
[3,6,2,7,4,1,5]=>010110=>2
[3,6,2,7,4,5,1]=>010101=>3
[3,6,2,7,5,1,4]=>010110=>2
[3,6,2,7,5,4,1]=>010111=>1
[3,6,4,1,2,5,7]=>011000=>4
[3,6,4,1,2,7,5]=>011001=>3
[3,6,4,1,5,2,7]=>011010=>3
[3,6,4,1,5,7,2]=>011001=>3
[3,6,4,1,7,2,5]=>011010=>3
[3,6,4,1,7,5,2]=>011011=>2
[3,6,4,2,1,5,7]=>011100=>3
[3,6,4,2,1,7,5]=>011101=>2
[3,6,4,2,5,1,7]=>011010=>3
[3,6,4,2,5,7,1]=>011001=>3
[3,6,4,2,7,1,5]=>011010=>3
[3,6,4,2,7,5,1]=>011011=>2
[3,6,4,5,1,2,7]=>010100=>4
[3,6,4,5,1,7,2]=>010101=>3
[3,6,4,5,2,1,7]=>010110=>2
[3,6,4,5,2,7,1]=>010101=>3
[3,6,4,5,7,1,2]=>010010=>4
[3,6,4,5,7,2,1]=>010011=>2
[3,6,4,7,1,2,5]=>010100=>4
[3,6,4,7,1,5,2]=>010101=>3
[3,6,4,7,2,1,5]=>010110=>2
[3,6,4,7,2,5,1]=>010101=>3
[3,6,4,7,5,1,2]=>010110=>2
[3,6,4,7,5,2,1]=>010111=>1
[3,6,5,1,2,4,7]=>011000=>4
[3,6,5,1,2,7,4]=>011001=>3
[3,6,5,1,4,2,7]=>011010=>3
[3,6,5,1,4,7,2]=>011001=>3
[3,6,5,1,7,2,4]=>011010=>3
[3,6,5,1,7,4,2]=>011011=>2
[3,6,5,2,1,4,7]=>011100=>3
[3,6,5,2,1,7,4]=>011101=>2
[3,6,5,2,4,1,7]=>011010=>3
[3,6,5,2,4,7,1]=>011001=>3
[3,6,5,2,7,1,4]=>011010=>3
[3,6,5,2,7,4,1]=>011011=>2
[3,6,5,4,1,2,7]=>011100=>3
[3,6,5,4,1,7,2]=>011101=>2
[3,6,5,4,2,1,7]=>011110=>2
[3,6,5,4,2,7,1]=>011101=>2
[3,6,5,4,7,1,2]=>011010=>3
[3,6,5,4,7,2,1]=>011011=>2
[3,6,5,7,1,2,4]=>010100=>4
[3,6,5,7,1,4,2]=>010101=>3
[3,6,5,7,2,1,4]=>010110=>2
[3,6,5,7,2,4,1]=>010101=>3
[3,6,5,7,4,1,2]=>010110=>2
[3,6,5,7,4,2,1]=>010111=>1
[3,6,7,1,2,4,5]=>001000=>4
[3,6,7,1,2,5,4]=>001001=>2
[3,6,7,1,4,2,5]=>001010=>2
[3,6,7,1,4,5,2]=>001001=>2
[3,6,7,1,5,2,4]=>001010=>2
[3,6,7,1,5,4,2]=>001011=>1
[3,6,7,2,1,4,5]=>001100=>3
[3,6,7,2,1,5,4]=>001101=>1
[3,6,7,2,4,1,5]=>001010=>2
[3,6,7,2,4,5,1]=>001001=>2
[3,6,7,2,5,1,4]=>001010=>2
[3,6,7,2,5,4,1]=>001011=>1
[3,6,7,4,1,2,5]=>001100=>3
[3,6,7,4,1,5,2]=>001101=>1
[3,6,7,4,2,1,5]=>001110=>2
[3,6,7,4,2,5,1]=>001101=>1
[3,6,7,4,5,1,2]=>001010=>2
[3,6,7,4,5,2,1]=>001011=>1
[3,6,7,5,1,2,4]=>001100=>3
[3,6,7,5,1,4,2]=>001101=>1
[3,6,7,5,2,1,4]=>001110=>2
[3,6,7,5,2,4,1]=>001101=>1
[3,6,7,5,4,1,2]=>001110=>2
[3,6,7,5,4,2,1]=>001111=>1
[3,7,1,2,4,5,6]=>010000=>5
[3,7,1,2,4,6,5]=>010001=>3
[3,7,1,2,5,4,6]=>010010=>4
[3,7,1,2,5,6,4]=>010001=>3
[3,7,1,2,6,4,5]=>010010=>4
[3,7,1,2,6,5,4]=>010011=>2
[3,7,1,4,2,5,6]=>010100=>4
[3,7,1,4,2,6,5]=>010101=>3
[3,7,1,4,5,2,6]=>010010=>4
[3,7,1,4,5,6,2]=>010001=>3
[3,7,1,4,6,2,5]=>010010=>4
[3,7,1,4,6,5,2]=>010011=>2
[3,7,1,5,2,4,6]=>010100=>4
[3,7,1,5,2,6,4]=>010101=>3
[3,7,1,5,4,2,6]=>010110=>2
[3,7,1,5,4,6,2]=>010101=>3
[3,7,1,5,6,2,4]=>010010=>4
[3,7,1,5,6,4,2]=>010011=>2
[3,7,1,6,2,4,5]=>010100=>4
[3,7,1,6,2,5,4]=>010101=>3
[3,7,1,6,4,2,5]=>010110=>2
[3,7,1,6,4,5,2]=>010101=>3
[3,7,1,6,5,2,4]=>010110=>2
[3,7,1,6,5,4,2]=>010111=>1
[3,7,2,1,4,5,6]=>011000=>4
[3,7,2,1,4,6,5]=>011001=>3
[3,7,2,1,5,4,6]=>011010=>3
[3,7,2,1,5,6,4]=>011001=>3
[3,7,2,1,6,4,5]=>011010=>3
[3,7,2,1,6,5,4]=>011011=>2
[3,7,2,4,1,5,6]=>010100=>4
[3,7,2,4,1,6,5]=>010101=>3
[3,7,2,4,5,1,6]=>010010=>4
[3,7,2,4,5,6,1]=>010001=>3
[3,7,2,4,6,1,5]=>010010=>4
[3,7,2,4,6,5,1]=>010011=>2
[3,7,2,5,1,4,6]=>010100=>4
[3,7,2,5,1,6,4]=>010101=>3
[3,7,2,5,4,1,6]=>010110=>2
[3,7,2,5,4,6,1]=>010101=>3
[3,7,2,5,6,1,4]=>010010=>4
[3,7,2,5,6,4,1]=>010011=>2
[3,7,2,6,1,4,5]=>010100=>4
[3,7,2,6,1,5,4]=>010101=>3
[3,7,2,6,4,1,5]=>010110=>2
[3,7,2,6,4,5,1]=>010101=>3
[3,7,2,6,5,1,4]=>010110=>2
[3,7,2,6,5,4,1]=>010111=>1
[3,7,4,1,2,5,6]=>011000=>4
[3,7,4,1,2,6,5]=>011001=>3
[3,7,4,1,5,2,6]=>011010=>3
[3,7,4,1,5,6,2]=>011001=>3
[3,7,4,1,6,2,5]=>011010=>3
[3,7,4,1,6,5,2]=>011011=>2
[3,7,4,2,1,5,6]=>011100=>3
[3,7,4,2,1,6,5]=>011101=>2
[3,7,4,2,5,1,6]=>011010=>3
[3,7,4,2,5,6,1]=>011001=>3
[3,7,4,2,6,1,5]=>011010=>3
[3,7,4,2,6,5,1]=>011011=>2
[3,7,4,5,1,2,6]=>010100=>4
[3,7,4,5,1,6,2]=>010101=>3
[3,7,4,5,2,1,6]=>010110=>2
[3,7,4,5,2,6,1]=>010101=>3
[3,7,4,5,6,1,2]=>010010=>4
[3,7,4,5,6,2,1]=>010011=>2
[3,7,4,6,1,2,5]=>010100=>4
[3,7,4,6,1,5,2]=>010101=>3
[3,7,4,6,2,1,5]=>010110=>2
[3,7,4,6,2,5,1]=>010101=>3
[3,7,4,6,5,1,2]=>010110=>2
[3,7,4,6,5,2,1]=>010111=>1
[3,7,5,1,2,4,6]=>011000=>4
[3,7,5,1,2,6,4]=>011001=>3
[3,7,5,1,4,2,6]=>011010=>3
[3,7,5,1,4,6,2]=>011001=>3
[3,7,5,1,6,2,4]=>011010=>3
[3,7,5,1,6,4,2]=>011011=>2
[3,7,5,2,1,4,6]=>011100=>3
[3,7,5,2,1,6,4]=>011101=>2
[3,7,5,2,4,1,6]=>011010=>3
[3,7,5,2,4,6,1]=>011001=>3
[3,7,5,2,6,1,4]=>011010=>3
[3,7,5,2,6,4,1]=>011011=>2
[3,7,5,4,1,2,6]=>011100=>3
[3,7,5,4,1,6,2]=>011101=>2
[3,7,5,4,2,1,6]=>011110=>2
[3,7,5,4,2,6,1]=>011101=>2
[3,7,5,4,6,1,2]=>011010=>3
[3,7,5,4,6,2,1]=>011011=>2
[3,7,5,6,1,2,4]=>010100=>4
[3,7,5,6,1,4,2]=>010101=>3
[3,7,5,6,2,1,4]=>010110=>2
[3,7,5,6,2,4,1]=>010101=>3
[3,7,5,6,4,1,2]=>010110=>2
[3,7,5,6,4,2,1]=>010111=>1
[3,7,6,1,2,4,5]=>011000=>4
[3,7,6,1,2,5,4]=>011001=>3
[3,7,6,1,4,2,5]=>011010=>3
[3,7,6,1,4,5,2]=>011001=>3
[3,7,6,1,5,2,4]=>011010=>3
[3,7,6,1,5,4,2]=>011011=>2
[3,7,6,2,1,4,5]=>011100=>3
[3,7,6,2,1,5,4]=>011101=>2
[3,7,6,2,4,1,5]=>011010=>3
[3,7,6,2,4,5,1]=>011001=>3
[3,7,6,2,5,1,4]=>011010=>3
[3,7,6,2,5,4,1]=>011011=>2
[3,7,6,4,1,2,5]=>011100=>3
[3,7,6,4,1,5,2]=>011101=>2
[3,7,6,4,2,1,5]=>011110=>2
[3,7,6,4,2,5,1]=>011101=>2
[3,7,6,4,5,1,2]=>011010=>3
[3,7,6,4,5,2,1]=>011011=>2
[3,7,6,5,1,2,4]=>011100=>3
[3,7,6,5,1,4,2]=>011101=>2
[3,7,6,5,2,1,4]=>011110=>2
[3,7,6,5,2,4,1]=>011101=>2
[3,7,6,5,4,1,2]=>011110=>2
[3,7,6,5,4,2,1]=>011111=>1
[4,1,2,3,5,6,7]=>100000=>6
[4,1,2,3,5,7,6]=>100001=>5
[4,1,2,3,6,5,7]=>100010=>5
[4,1,2,3,6,7,5]=>100001=>5
[4,1,2,3,7,5,6]=>100010=>5
[4,1,2,3,7,6,5]=>100011=>4
[4,1,2,5,3,6,7]=>100100=>6
[4,1,2,5,3,7,6]=>100101=>4
[4,1,2,5,6,3,7]=>100010=>5
[4,1,2,5,6,7,3]=>100001=>5
[4,1,2,5,7,3,6]=>100010=>5
[4,1,2,5,7,6,3]=>100011=>4
[4,1,2,6,3,5,7]=>100100=>6
[4,1,2,6,3,7,5]=>100101=>4
[4,1,2,6,5,3,7]=>100110=>4
[4,1,2,6,5,7,3]=>100101=>4
[4,1,2,6,7,3,5]=>100010=>5
[4,1,2,6,7,5,3]=>100011=>4
[4,1,2,7,3,5,6]=>100100=>6
[4,1,2,7,3,6,5]=>100101=>4
[4,1,2,7,5,3,6]=>100110=>4
[4,1,2,7,5,6,3]=>100101=>4
[4,1,2,7,6,3,5]=>100110=>4
[4,1,2,7,6,5,3]=>100111=>3
[4,1,3,2,5,6,7]=>101000=>6
[4,1,3,2,5,7,6]=>101001=>5
[4,1,3,2,6,5,7]=>101010=>6
[4,1,3,2,6,7,5]=>101001=>5
[4,1,3,2,7,5,6]=>101010=>6
[4,1,3,2,7,6,5]=>101011=>3
[4,1,3,5,2,6,7]=>100100=>6
[4,1,3,5,2,7,6]=>100101=>4
[4,1,3,5,6,2,7]=>100010=>5
[4,1,3,5,6,7,2]=>100001=>5
[4,1,3,5,7,2,6]=>100010=>5
[4,1,3,5,7,6,2]=>100011=>4
[4,1,3,6,2,5,7]=>100100=>6
[4,1,3,6,2,7,5]=>100101=>4
[4,1,3,6,5,2,7]=>100110=>4
[4,1,3,6,5,7,2]=>100101=>4
[4,1,3,6,7,2,5]=>100010=>5
[4,1,3,6,7,5,2]=>100011=>4
[4,1,3,7,2,5,6]=>100100=>6
[4,1,3,7,2,6,5]=>100101=>4
[4,1,3,7,5,2,6]=>100110=>4
[4,1,3,7,5,6,2]=>100101=>4
[4,1,3,7,6,2,5]=>100110=>4
[4,1,3,7,6,5,2]=>100111=>3
[4,1,5,2,3,6,7]=>101000=>6
[4,1,5,2,3,7,6]=>101001=>5
[4,1,5,2,6,3,7]=>101010=>6
[4,1,5,2,6,7,3]=>101001=>5
[4,1,5,2,7,3,6]=>101010=>6
[4,1,5,2,7,6,3]=>101011=>3
[4,1,5,3,2,6,7]=>101100=>5
[4,1,5,3,2,7,6]=>101101=>4
[4,1,5,3,6,2,7]=>101010=>6
[4,1,5,3,6,7,2]=>101001=>5
[4,1,5,3,7,2,6]=>101010=>6
[4,1,5,3,7,6,2]=>101011=>3
[4,1,5,6,2,3,7]=>100100=>6
[4,1,5,6,2,7,3]=>100101=>4
[4,1,5,6,3,2,7]=>100110=>4
[4,1,5,6,3,7,2]=>100101=>4
[4,1,5,6,7,2,3]=>100010=>5
[4,1,5,6,7,3,2]=>100011=>4
[4,1,5,7,2,3,6]=>100100=>6
[4,1,5,7,2,6,3]=>100101=>4
[4,1,5,7,3,2,6]=>100110=>4
[4,1,5,7,3,6,2]=>100101=>4
[4,1,5,7,6,2,3]=>100110=>4
[4,1,5,7,6,3,2]=>100111=>3
[4,1,6,2,3,5,7]=>101000=>6
[4,1,6,2,3,7,5]=>101001=>5
[4,1,6,2,5,3,7]=>101010=>6
[4,1,6,2,5,7,3]=>101001=>5
[4,1,6,2,7,3,5]=>101010=>6
[4,1,6,2,7,5,3]=>101011=>3
[4,1,6,3,2,5,7]=>101100=>5
[4,1,6,3,2,7,5]=>101101=>4
[4,1,6,3,5,2,7]=>101010=>6
[4,1,6,3,5,7,2]=>101001=>5
[4,1,6,3,7,2,5]=>101010=>6
[4,1,6,3,7,5,2]=>101011=>3
[4,1,6,5,2,3,7]=>101100=>5
[4,1,6,5,2,7,3]=>101101=>4
[4,1,6,5,3,2,7]=>101110=>4
[4,1,6,5,3,7,2]=>101101=>4
[4,1,6,5,7,2,3]=>101010=>6
[4,1,6,5,7,3,2]=>101011=>3
[4,1,6,7,2,3,5]=>100100=>6
[4,1,6,7,2,5,3]=>100101=>4
[4,1,6,7,3,2,5]=>100110=>4
[4,1,6,7,3,5,2]=>100101=>4
[4,1,6,7,5,2,3]=>100110=>4
[4,1,6,7,5,3,2]=>100111=>3
[4,1,7,2,3,5,6]=>101000=>6
[4,1,7,2,3,6,5]=>101001=>5
[4,1,7,2,5,3,6]=>101010=>6
[4,1,7,2,5,6,3]=>101001=>5
[4,1,7,2,6,3,5]=>101010=>6
[4,1,7,2,6,5,3]=>101011=>3
[4,1,7,3,2,5,6]=>101100=>5
[4,1,7,3,2,6,5]=>101101=>4
[4,1,7,3,5,2,6]=>101010=>6
[4,1,7,3,5,6,2]=>101001=>5
[4,1,7,3,6,2,5]=>101010=>6
[4,1,7,3,6,5,2]=>101011=>3
[4,1,7,5,2,3,6]=>101100=>5
[4,1,7,5,2,6,3]=>101101=>4
[4,1,7,5,3,2,6]=>101110=>4
[4,1,7,5,3,6,2]=>101101=>4
[4,1,7,5,6,2,3]=>101010=>6
[4,1,7,5,6,3,2]=>101011=>3
[4,1,7,6,2,3,5]=>101100=>5
[4,1,7,6,2,5,3]=>101101=>4
[4,1,7,6,3,2,5]=>101110=>4
[4,1,7,6,3,5,2]=>101101=>4
[4,1,7,6,5,2,3]=>101110=>4
[4,1,7,6,5,3,2]=>101111=>2
[4,2,1,3,5,6,7]=>110000=>6
[4,2,1,3,5,7,6]=>110001=>5
[4,2,1,3,6,5,7]=>110010=>6
[4,2,1,3,6,7,5]=>110001=>5
[4,2,1,3,7,5,6]=>110010=>6
[4,2,1,3,7,6,5]=>110011=>4
[4,2,1,5,3,6,7]=>110100=>6
[4,2,1,5,3,7,6]=>110101=>5
[4,2,1,5,6,3,7]=>110010=>6
[4,2,1,5,6,7,3]=>110001=>5
[4,2,1,5,7,3,6]=>110010=>6
[4,2,1,5,7,6,3]=>110011=>4
[4,2,1,6,3,5,7]=>110100=>6
[4,2,1,6,3,7,5]=>110101=>5
[4,2,1,6,5,3,7]=>110110=>6
[4,2,1,6,5,7,3]=>110101=>5
[4,2,1,6,7,3,5]=>110010=>6
[4,2,1,6,7,5,3]=>110011=>4
[4,2,1,7,3,5,6]=>110100=>6
[4,2,1,7,3,6,5]=>110101=>5
[4,2,1,7,5,3,6]=>110110=>6
[4,2,1,7,5,6,3]=>110101=>5
[4,2,1,7,6,3,5]=>110110=>6
[4,2,1,7,6,5,3]=>110111=>3
[4,2,3,1,5,6,7]=>101000=>6
[4,2,3,1,5,7,6]=>101001=>5
[4,2,3,1,6,5,7]=>101010=>6
[4,2,3,1,6,7,5]=>101001=>5
[4,2,3,1,7,5,6]=>101010=>6
[4,2,3,1,7,6,5]=>101011=>3
[4,2,3,5,1,6,7]=>100100=>6
[4,2,3,5,1,7,6]=>100101=>4
[4,2,3,5,6,1,7]=>100010=>5
[4,2,3,5,6,7,1]=>100001=>5
[4,2,3,5,7,1,6]=>100010=>5
[4,2,3,5,7,6,1]=>100011=>4
[4,2,3,6,1,5,7]=>100100=>6
[4,2,3,6,1,7,5]=>100101=>4
[4,2,3,6,5,1,7]=>100110=>4
[4,2,3,6,5,7,1]=>100101=>4
[4,2,3,6,7,1,5]=>100010=>5
[4,2,3,6,7,5,1]=>100011=>4
[4,2,3,7,1,5,6]=>100100=>6
[4,2,3,7,1,6,5]=>100101=>4
[4,2,3,7,5,1,6]=>100110=>4
[4,2,3,7,5,6,1]=>100101=>4
[4,2,3,7,6,1,5]=>100110=>4
[4,2,3,7,6,5,1]=>100111=>3
[4,2,5,1,3,6,7]=>101000=>6
[4,2,5,1,3,7,6]=>101001=>5
[4,2,5,1,6,3,7]=>101010=>6
[4,2,5,1,6,7,3]=>101001=>5
[4,2,5,1,7,3,6]=>101010=>6
[4,2,5,1,7,6,3]=>101011=>3
[4,2,5,3,1,6,7]=>101100=>5
[4,2,5,3,1,7,6]=>101101=>4
[4,2,5,3,6,1,7]=>101010=>6
[4,2,5,3,6,7,1]=>101001=>5
[4,2,5,3,7,1,6]=>101010=>6
[4,2,5,3,7,6,1]=>101011=>3
[4,2,5,6,1,3,7]=>100100=>6
[4,2,5,6,1,7,3]=>100101=>4
[4,2,5,6,3,1,7]=>100110=>4
[4,2,5,6,3,7,1]=>100101=>4
[4,2,5,6,7,1,3]=>100010=>5
[4,2,5,6,7,3,1]=>100011=>4
[4,2,5,7,1,3,6]=>100100=>6
[4,2,5,7,1,6,3]=>100101=>4
[4,2,5,7,3,1,6]=>100110=>4
[4,2,5,7,3,6,1]=>100101=>4
[4,2,5,7,6,1,3]=>100110=>4
[4,2,5,7,6,3,1]=>100111=>3
[4,2,6,1,3,5,7]=>101000=>6
[4,2,6,1,3,7,5]=>101001=>5
[4,2,6,1,5,3,7]=>101010=>6
[4,2,6,1,5,7,3]=>101001=>5
[4,2,6,1,7,3,5]=>101010=>6
[4,2,6,1,7,5,3]=>101011=>3
[4,2,6,3,1,5,7]=>101100=>5
[4,2,6,3,1,7,5]=>101101=>4
[4,2,6,3,5,1,7]=>101010=>6
[4,2,6,3,5,7,1]=>101001=>5
[4,2,6,3,7,1,5]=>101010=>6
[4,2,6,3,7,5,1]=>101011=>3
[4,2,6,5,1,3,7]=>101100=>5
[4,2,6,5,1,7,3]=>101101=>4
[4,2,6,5,3,1,7]=>101110=>4
[4,2,6,5,3,7,1]=>101101=>4
[4,2,6,5,7,1,3]=>101010=>6
[4,2,6,5,7,3,1]=>101011=>3
[4,2,6,7,1,3,5]=>100100=>6
[4,2,6,7,1,5,3]=>100101=>4
[4,2,6,7,3,1,5]=>100110=>4
[4,2,6,7,3,5,1]=>100101=>4
[4,2,6,7,5,1,3]=>100110=>4
[4,2,6,7,5,3,1]=>100111=>3
[4,2,7,1,3,5,6]=>101000=>6
[4,2,7,1,3,6,5]=>101001=>5
[4,2,7,1,5,3,6]=>101010=>6
[4,2,7,1,5,6,3]=>101001=>5
[4,2,7,1,6,3,5]=>101010=>6
[4,2,7,1,6,5,3]=>101011=>3
[4,2,7,3,1,5,6]=>101100=>5
[4,2,7,3,1,6,5]=>101101=>4
[4,2,7,3,5,1,6]=>101010=>6
[4,2,7,3,5,6,1]=>101001=>5
[4,2,7,3,6,1,5]=>101010=>6
[4,2,7,3,6,5,1]=>101011=>3
[4,2,7,5,1,3,6]=>101100=>5
[4,2,7,5,1,6,3]=>101101=>4
[4,2,7,5,3,1,6]=>101110=>4
[4,2,7,5,3,6,1]=>101101=>4
[4,2,7,5,6,1,3]=>101010=>6
[4,2,7,5,6,3,1]=>101011=>3
[4,2,7,6,1,3,5]=>101100=>5
[4,2,7,6,1,5,3]=>101101=>4
[4,2,7,6,3,1,5]=>101110=>4
[4,2,7,6,3,5,1]=>101101=>4
[4,2,7,6,5,1,3]=>101110=>4
[4,2,7,6,5,3,1]=>101111=>2
[4,3,1,2,5,6,7]=>110000=>6
[4,3,1,2,5,7,6]=>110001=>5
[4,3,1,2,6,5,7]=>110010=>6
[4,3,1,2,6,7,5]=>110001=>5
[4,3,1,2,7,5,6]=>110010=>6
[4,3,1,2,7,6,5]=>110011=>4
[4,3,1,5,2,6,7]=>110100=>6
[4,3,1,5,2,7,6]=>110101=>5
[4,3,1,5,6,2,7]=>110010=>6
[4,3,1,5,6,7,2]=>110001=>5
[4,3,1,5,7,2,6]=>110010=>6
[4,3,1,5,7,6,2]=>110011=>4
[4,3,1,6,2,5,7]=>110100=>6
[4,3,1,6,2,7,5]=>110101=>5
[4,3,1,6,5,2,7]=>110110=>6
[4,3,1,6,5,7,2]=>110101=>5
[4,3,1,6,7,2,5]=>110010=>6
[4,3,1,6,7,5,2]=>110011=>4
[4,3,1,7,2,5,6]=>110100=>6
[4,3,1,7,2,6,5]=>110101=>5
[4,3,1,7,5,2,6]=>110110=>6
[4,3,1,7,5,6,2]=>110101=>5
[4,3,1,7,6,2,5]=>110110=>6
[4,3,1,7,6,5,2]=>110111=>3
[4,3,2,1,5,6,7]=>111000=>6
[4,3,2,1,5,7,6]=>111001=>5
[4,3,2,1,6,5,7]=>111010=>6
[4,3,2,1,6,7,5]=>111001=>5
[4,3,2,1,7,5,6]=>111010=>6
[4,3,2,1,7,6,5]=>111011=>4
[4,3,2,5,1,6,7]=>110100=>6
[4,3,2,5,1,7,6]=>110101=>5
[4,3,2,5,6,1,7]=>110010=>6
[4,3,2,5,6,7,1]=>110001=>5
[4,3,2,5,7,1,6]=>110010=>6
[4,3,2,5,7,6,1]=>110011=>4
[4,3,2,6,1,5,7]=>110100=>6
[4,3,2,6,1,7,5]=>110101=>5
[4,3,2,6,5,1,7]=>110110=>6
[4,3,2,6,5,7,1]=>110101=>5
[4,3,2,6,7,1,5]=>110010=>6
[4,3,2,6,7,5,1]=>110011=>4
[4,3,2,7,1,5,6]=>110100=>6
[4,3,2,7,1,6,5]=>110101=>5
[4,3,2,7,5,1,6]=>110110=>6
[4,3,2,7,5,6,1]=>110101=>5
[4,3,2,7,6,1,5]=>110110=>6
[4,3,2,7,6,5,1]=>110111=>3
[4,3,5,1,2,6,7]=>101000=>6
[4,3,5,1,2,7,6]=>101001=>5
[4,3,5,1,6,2,7]=>101010=>6
[4,3,5,1,6,7,2]=>101001=>5
[4,3,5,1,7,2,6]=>101010=>6
[4,3,5,1,7,6,2]=>101011=>3
[4,3,5,2,1,6,7]=>101100=>5
[4,3,5,2,1,7,6]=>101101=>4
[4,3,5,2,6,1,7]=>101010=>6
[4,3,5,2,6,7,1]=>101001=>5
[4,3,5,2,7,1,6]=>101010=>6
[4,3,5,2,7,6,1]=>101011=>3
[4,3,5,6,1,2,7]=>100100=>6
[4,3,5,6,1,7,2]=>100101=>4
[4,3,5,6,2,1,7]=>100110=>4
[4,3,5,6,2,7,1]=>100101=>4
[4,3,5,6,7,1,2]=>100010=>5
[4,3,5,6,7,2,1]=>100011=>4
[4,3,5,7,1,2,6]=>100100=>6
[4,3,5,7,1,6,2]=>100101=>4
[4,3,5,7,2,1,6]=>100110=>4
[4,3,5,7,2,6,1]=>100101=>4
[4,3,5,7,6,1,2]=>100110=>4
[4,3,5,7,6,2,1]=>100111=>3
[4,3,6,1,2,5,7]=>101000=>6
[4,3,6,1,2,7,5]=>101001=>5
[4,3,6,1,5,2,7]=>101010=>6
[4,3,6,1,5,7,2]=>101001=>5
[4,3,6,1,7,2,5]=>101010=>6
[4,3,6,1,7,5,2]=>101011=>3
[4,3,6,2,1,5,7]=>101100=>5
[4,3,6,2,1,7,5]=>101101=>4
[4,3,6,2,5,1,7]=>101010=>6
[4,3,6,2,5,7,1]=>101001=>5
[4,3,6,2,7,1,5]=>101010=>6
[4,3,6,2,7,5,1]=>101011=>3
[4,3,6,5,1,2,7]=>101100=>5
[4,3,6,5,1,7,2]=>101101=>4
[4,3,6,5,2,1,7]=>101110=>4
[4,3,6,5,2,7,1]=>101101=>4
[4,3,6,5,7,1,2]=>101010=>6
[4,3,6,5,7,2,1]=>101011=>3
[4,3,6,7,1,2,5]=>100100=>6
[4,3,6,7,1,5,2]=>100101=>4
[4,3,6,7,2,1,5]=>100110=>4
[4,3,6,7,2,5,1]=>100101=>4
[4,3,6,7,5,1,2]=>100110=>4
[4,3,6,7,5,2,1]=>100111=>3
[4,3,7,1,2,5,6]=>101000=>6
[4,3,7,1,2,6,5]=>101001=>5
[4,3,7,1,5,2,6]=>101010=>6
[4,3,7,1,5,6,2]=>101001=>5
[4,3,7,1,6,2,5]=>101010=>6
[4,3,7,1,6,5,2]=>101011=>3
[4,3,7,2,1,5,6]=>101100=>5
[4,3,7,2,1,6,5]=>101101=>4
[4,3,7,2,5,1,6]=>101010=>6
[4,3,7,2,5,6,1]=>101001=>5
[4,3,7,2,6,1,5]=>101010=>6
[4,3,7,2,6,5,1]=>101011=>3
[4,3,7,5,1,2,6]=>101100=>5
[4,3,7,5,1,6,2]=>101101=>4
[4,3,7,5,2,1,6]=>101110=>4
[4,3,7,5,2,6,1]=>101101=>4
[4,3,7,5,6,1,2]=>101010=>6
[4,3,7,5,6,2,1]=>101011=>3
[4,3,7,6,1,2,5]=>101100=>5
[4,3,7,6,1,5,2]=>101101=>4
[4,3,7,6,2,1,5]=>101110=>4
[4,3,7,6,2,5,1]=>101101=>4
[4,3,7,6,5,1,2]=>101110=>4
[4,3,7,6,5,2,1]=>101111=>2
[4,5,1,2,3,6,7]=>010000=>5
[4,5,1,2,3,7,6]=>010001=>3
[4,5,1,2,6,3,7]=>010010=>4
[4,5,1,2,6,7,3]=>010001=>3
[4,5,1,2,7,3,6]=>010010=>4
[4,5,1,2,7,6,3]=>010011=>2
[4,5,1,3,2,6,7]=>010100=>4
[4,5,1,3,2,7,6]=>010101=>3
[4,5,1,3,6,2,7]=>010010=>4
[4,5,1,3,6,7,2]=>010001=>3
[4,5,1,3,7,2,6]=>010010=>4
[4,5,1,3,7,6,2]=>010011=>2
[4,5,1,6,2,3,7]=>010100=>4
[4,5,1,6,2,7,3]=>010101=>3
[4,5,1,6,3,2,7]=>010110=>2
[4,5,1,6,3,7,2]=>010101=>3
[4,5,1,6,7,2,3]=>010010=>4
[4,5,1,6,7,3,2]=>010011=>2
[4,5,1,7,2,3,6]=>010100=>4
[4,5,1,7,2,6,3]=>010101=>3
[4,5,1,7,3,2,6]=>010110=>2
[4,5,1,7,3,6,2]=>010101=>3
[4,5,1,7,6,2,3]=>010110=>2
[4,5,1,7,6,3,2]=>010111=>1
[4,5,2,1,3,6,7]=>011000=>4
[4,5,2,1,3,7,6]=>011001=>3
[4,5,2,1,6,3,7]=>011010=>3
[4,5,2,1,6,7,3]=>011001=>3
[4,5,2,1,7,3,6]=>011010=>3
[4,5,2,1,7,6,3]=>011011=>2
[4,5,2,3,1,6,7]=>010100=>4
[4,5,2,3,1,7,6]=>010101=>3
[4,5,2,3,6,1,7]=>010010=>4
[4,5,2,3,6,7,1]=>010001=>3
[4,5,2,3,7,1,6]=>010010=>4
[4,5,2,3,7,6,1]=>010011=>2
[4,5,2,6,1,3,7]=>010100=>4
[4,5,2,6,1,7,3]=>010101=>3
[4,5,2,6,3,1,7]=>010110=>2
[4,5,2,6,3,7,1]=>010101=>3
[4,5,2,6,7,1,3]=>010010=>4
[4,5,2,6,7,3,1]=>010011=>2
[4,5,2,7,1,3,6]=>010100=>4
[4,5,2,7,1,6,3]=>010101=>3
[4,5,2,7,3,1,6]=>010110=>2
[4,5,2,7,3,6,1]=>010101=>3
[4,5,2,7,6,1,3]=>010110=>2
[4,5,2,7,6,3,1]=>010111=>1
[4,5,3,1,2,6,7]=>011000=>4
[4,5,3,1,2,7,6]=>011001=>3
[4,5,3,1,6,2,7]=>011010=>3
[4,5,3,1,6,7,2]=>011001=>3
[4,5,3,1,7,2,6]=>011010=>3
[4,5,3,1,7,6,2]=>011011=>2
[4,5,3,2,1,6,7]=>011100=>3
[4,5,3,2,1,7,6]=>011101=>2
[4,5,3,2,6,1,7]=>011010=>3
[4,5,3,2,6,7,1]=>011001=>3
[4,5,3,2,7,1,6]=>011010=>3
[4,5,3,2,7,6,1]=>011011=>2
[4,5,3,6,1,2,7]=>010100=>4
[4,5,3,6,1,7,2]=>010101=>3
[4,5,3,6,2,1,7]=>010110=>2
[4,5,3,6,2,7,1]=>010101=>3
[4,5,3,6,7,1,2]=>010010=>4
[4,5,3,6,7,2,1]=>010011=>2
[4,5,3,7,1,2,6]=>010100=>4
[4,5,3,7,1,6,2]=>010101=>3
[4,5,3,7,2,1,6]=>010110=>2
[4,5,3,7,2,6,1]=>010101=>3
[4,5,3,7,6,1,2]=>010110=>2
[4,5,3,7,6,2,1]=>010111=>1
[4,5,6,1,2,3,7]=>001000=>4
[4,5,6,1,2,7,3]=>001001=>2
[4,5,6,1,3,2,7]=>001010=>2
[4,5,6,1,3,7,2]=>001001=>2
[4,5,6,1,7,2,3]=>001010=>2
[4,5,6,1,7,3,2]=>001011=>1
[4,5,6,2,1,3,7]=>001100=>3
[4,5,6,2,1,7,3]=>001101=>1
[4,5,6,2,3,1,7]=>001010=>2
[4,5,6,2,3,7,1]=>001001=>2
[4,5,6,2,7,1,3]=>001010=>2
[4,5,6,2,7,3,1]=>001011=>1
[4,5,6,3,1,2,7]=>001100=>3
[4,5,6,3,1,7,2]=>001101=>1
[4,5,6,3,2,1,7]=>001110=>2
[4,5,6,3,2,7,1]=>001101=>1
[4,5,6,3,7,1,2]=>001010=>2
[4,5,6,3,7,2,1]=>001011=>1
[4,5,6,7,1,2,3]=>000100=>3
[4,5,6,7,1,3,2]=>000101=>1
[4,5,6,7,2,1,3]=>000110=>2
[4,5,6,7,2,3,1]=>000101=>1
[4,5,6,7,3,1,2]=>000110=>2
[4,5,6,7,3,2,1]=>000111=>1
[4,5,7,1,2,3,6]=>001000=>4
[4,5,7,1,2,6,3]=>001001=>2
[4,5,7,1,3,2,6]=>001010=>2
[4,5,7,1,3,6,2]=>001001=>2
[4,5,7,1,6,2,3]=>001010=>2
[4,5,7,1,6,3,2]=>001011=>1
[4,5,7,2,1,3,6]=>001100=>3
[4,5,7,2,1,6,3]=>001101=>1
[4,5,7,2,3,1,6]=>001010=>2
[4,5,7,2,3,6,1]=>001001=>2
[4,5,7,2,6,1,3]=>001010=>2
[4,5,7,2,6,3,1]=>001011=>1
[4,5,7,3,1,2,6]=>001100=>3
[4,5,7,3,1,6,2]=>001101=>1
[4,5,7,3,2,1,6]=>001110=>2
[4,5,7,3,2,6,1]=>001101=>1
[4,5,7,3,6,1,2]=>001010=>2
[4,5,7,3,6,2,1]=>001011=>1
[4,5,7,6,1,2,3]=>001100=>3
[4,5,7,6,1,3,2]=>001101=>1
[4,5,7,6,2,1,3]=>001110=>2
[4,5,7,6,2,3,1]=>001101=>1
[4,5,7,6,3,1,2]=>001110=>2
[4,5,7,6,3,2,1]=>001111=>1
[4,6,1,2,3,5,7]=>010000=>5
[4,6,1,2,3,7,5]=>010001=>3
[4,6,1,2,5,3,7]=>010010=>4
[4,6,1,2,5,7,3]=>010001=>3
[4,6,1,2,7,3,5]=>010010=>4
[4,6,1,2,7,5,3]=>010011=>2
[4,6,1,3,2,5,7]=>010100=>4
[4,6,1,3,2,7,5]=>010101=>3
[4,6,1,3,5,2,7]=>010010=>4
[4,6,1,3,5,7,2]=>010001=>3
[4,6,1,3,7,2,5]=>010010=>4
[4,6,1,3,7,5,2]=>010011=>2
[4,6,1,5,2,3,7]=>010100=>4
[4,6,1,5,2,7,3]=>010101=>3
[4,6,1,5,3,2,7]=>010110=>2
[4,6,1,5,3,7,2]=>010101=>3
[4,6,1,5,7,2,3]=>010010=>4
[4,6,1,5,7,3,2]=>010011=>2
[4,6,1,7,2,3,5]=>010100=>4
[4,6,1,7,2,5,3]=>010101=>3
[4,6,1,7,3,2,5]=>010110=>2
[4,6,1,7,3,5,2]=>010101=>3
[4,6,1,7,5,2,3]=>010110=>2
[4,6,1,7,5,3,2]=>010111=>1
[4,6,2,1,3,5,7]=>011000=>4
[4,6,2,1,3,7,5]=>011001=>3
[4,6,2,1,5,3,7]=>011010=>3
[4,6,2,1,5,7,3]=>011001=>3
[4,6,2,1,7,3,5]=>011010=>3
[4,6,2,1,7,5,3]=>011011=>2
[4,6,2,3,1,5,7]=>010100=>4
[4,6,2,3,1,7,5]=>010101=>3
[4,6,2,3,5,1,7]=>010010=>4
[4,6,2,3,5,7,1]=>010001=>3
[4,6,2,3,7,1,5]=>010010=>4
[4,6,2,3,7,5,1]=>010011=>2
[4,6,2,5,1,3,7]=>010100=>4
[4,6,2,5,1,7,3]=>010101=>3
[4,6,2,5,3,1,7]=>010110=>2
[4,6,2,5,3,7,1]=>010101=>3
[4,6,2,5,7,1,3]=>010010=>4
[4,6,2,5,7,3,1]=>010011=>2
[4,6,2,7,1,3,5]=>010100=>4
[4,6,2,7,1,5,3]=>010101=>3
[4,6,2,7,3,1,5]=>010110=>2
[4,6,2,7,3,5,1]=>010101=>3
[4,6,2,7,5,1,3]=>010110=>2
[4,6,2,7,5,3,1]=>010111=>1
[4,6,3,1,2,5,7]=>011000=>4
[4,6,3,1,2,7,5]=>011001=>3
[4,6,3,1,5,2,7]=>011010=>3
[4,6,3,1,5,7,2]=>011001=>3
[4,6,3,1,7,2,5]=>011010=>3
[4,6,3,1,7,5,2]=>011011=>2
[4,6,3,2,1,5,7]=>011100=>3
[4,6,3,2,1,7,5]=>011101=>2
[4,6,3,2,5,1,7]=>011010=>3
[4,6,3,2,5,7,1]=>011001=>3
[4,6,3,2,7,1,5]=>011010=>3
[4,6,3,2,7,5,1]=>011011=>2
[4,6,3,5,1,2,7]=>010100=>4
[4,6,3,5,1,7,2]=>010101=>3
[4,6,3,5,2,1,7]=>010110=>2
[4,6,3,5,2,7,1]=>010101=>3
[4,6,3,5,7,1,2]=>010010=>4
[4,6,3,5,7,2,1]=>010011=>2
[4,6,3,7,1,2,5]=>010100=>4
[4,6,3,7,1,5,2]=>010101=>3
[4,6,3,7,2,1,5]=>010110=>2
[4,6,3,7,2,5,1]=>010101=>3
[4,6,3,7,5,1,2]=>010110=>2
[4,6,3,7,5,2,1]=>010111=>1
[4,6,5,1,2,3,7]=>011000=>4
[4,6,5,1,2,7,3]=>011001=>3
[4,6,5,1,3,2,7]=>011010=>3
[4,6,5,1,3,7,2]=>011001=>3
[4,6,5,1,7,2,3]=>011010=>3
[4,6,5,1,7,3,2]=>011011=>2
[4,6,5,2,1,3,7]=>011100=>3
[4,6,5,2,1,7,3]=>011101=>2
[4,6,5,2,3,1,7]=>011010=>3
[4,6,5,2,3,7,1]=>011001=>3
[4,6,5,2,7,1,3]=>011010=>3
[4,6,5,2,7,3,1]=>011011=>2
[4,6,5,3,1,2,7]=>011100=>3
[4,6,5,3,1,7,2]=>011101=>2
[4,6,5,3,2,1,7]=>011110=>2
[4,6,5,3,2,7,1]=>011101=>2
[4,6,5,3,7,1,2]=>011010=>3
[4,6,5,3,7,2,1]=>011011=>2
[4,6,5,7,1,2,3]=>010100=>4
[4,6,5,7,1,3,2]=>010101=>3
[4,6,5,7,2,1,3]=>010110=>2
[4,6,5,7,2,3,1]=>010101=>3
[4,6,5,7,3,1,2]=>010110=>2
[4,6,5,7,3,2,1]=>010111=>1
[4,6,7,1,2,3,5]=>001000=>4
[4,6,7,1,2,5,3]=>001001=>2
[4,6,7,1,3,2,5]=>001010=>2
[4,6,7,1,3,5,2]=>001001=>2
[4,6,7,1,5,2,3]=>001010=>2
[4,6,7,1,5,3,2]=>001011=>1
[4,6,7,2,1,3,5]=>001100=>3
[4,6,7,2,1,5,3]=>001101=>1
[4,6,7,2,3,1,5]=>001010=>2
[4,6,7,2,3,5,1]=>001001=>2
[4,6,7,2,5,1,3]=>001010=>2
[4,6,7,2,5,3,1]=>001011=>1
[4,6,7,3,1,2,5]=>001100=>3
[4,6,7,3,1,5,2]=>001101=>1
[4,6,7,3,2,1,5]=>001110=>2
[4,6,7,3,2,5,1]=>001101=>1
[4,6,7,3,5,1,2]=>001010=>2
[4,6,7,3,5,2,1]=>001011=>1
[4,6,7,5,1,2,3]=>001100=>3
[4,6,7,5,1,3,2]=>001101=>1
[4,6,7,5,2,1,3]=>001110=>2
[4,6,7,5,2,3,1]=>001101=>1
[4,6,7,5,3,1,2]=>001110=>2
[4,6,7,5,3,2,1]=>001111=>1
[4,7,1,2,3,5,6]=>010000=>5
[4,7,1,2,3,6,5]=>010001=>3
[4,7,1,2,5,3,6]=>010010=>4
[4,7,1,2,5,6,3]=>010001=>3
[4,7,1,2,6,3,5]=>010010=>4
[4,7,1,2,6,5,3]=>010011=>2
[4,7,1,3,2,5,6]=>010100=>4
[4,7,1,3,2,6,5]=>010101=>3
[4,7,1,3,5,2,6]=>010010=>4
[4,7,1,3,5,6,2]=>010001=>3
[4,7,1,3,6,2,5]=>010010=>4
[4,7,1,3,6,5,2]=>010011=>2
[4,7,1,5,2,3,6]=>010100=>4
[4,7,1,5,2,6,3]=>010101=>3
[4,7,1,5,3,2,6]=>010110=>2
[4,7,1,5,3,6,2]=>010101=>3
[4,7,1,5,6,2,3]=>010010=>4
[4,7,1,5,6,3,2]=>010011=>2
[4,7,1,6,2,3,5]=>010100=>4
[4,7,1,6,2,5,3]=>010101=>3
[4,7,1,6,3,2,5]=>010110=>2
[4,7,1,6,3,5,2]=>010101=>3
[4,7,1,6,5,2,3]=>010110=>2
[4,7,1,6,5,3,2]=>010111=>1
[4,7,2,1,3,5,6]=>011000=>4
[4,7,2,1,3,6,5]=>011001=>3
[4,7,2,1,5,3,6]=>011010=>3
[4,7,2,1,5,6,3]=>011001=>3
[4,7,2,1,6,3,5]=>011010=>3
[4,7,2,1,6,5,3]=>011011=>2
[4,7,2,3,1,5,6]=>010100=>4
[4,7,2,3,1,6,5]=>010101=>3
[4,7,2,3,5,1,6]=>010010=>4
[4,7,2,3,5,6,1]=>010001=>3
[4,7,2,3,6,1,5]=>010010=>4
[4,7,2,3,6,5,1]=>010011=>2
[4,7,2,5,1,3,6]=>010100=>4
[4,7,2,5,1,6,3]=>010101=>3
[4,7,2,5,3,1,6]=>010110=>2
[4,7,2,5,3,6,1]=>010101=>3
[4,7,2,5,6,1,3]=>010010=>4
[4,7,2,5,6,3,1]=>010011=>2
[4,7,2,6,1,3,5]=>010100=>4
[4,7,2,6,1,5,3]=>010101=>3
[4,7,2,6,3,1,5]=>010110=>2
[4,7,2,6,3,5,1]=>010101=>3
[4,7,2,6,5,1,3]=>010110=>2
[4,7,2,6,5,3,1]=>010111=>1
[4,7,3,1,2,5,6]=>011000=>4
[4,7,3,1,2,6,5]=>011001=>3
[4,7,3,1,5,2,6]=>011010=>3
[4,7,3,1,5,6,2]=>011001=>3
[4,7,3,1,6,2,5]=>011010=>3
[4,7,3,1,6,5,2]=>011011=>2
[4,7,3,2,1,5,6]=>011100=>3
[4,7,3,2,1,6,5]=>011101=>2
[4,7,3,2,5,1,6]=>011010=>3
[4,7,3,2,5,6,1]=>011001=>3
[4,7,3,2,6,1,5]=>011010=>3
[4,7,3,2,6,5,1]=>011011=>2
[4,7,3,5,1,2,6]=>010100=>4
[4,7,3,5,1,6,2]=>010101=>3
[4,7,3,5,2,1,6]=>010110=>2
[4,7,3,5,2,6,1]=>010101=>3
[4,7,3,5,6,1,2]=>010010=>4
[4,7,3,5,6,2,1]=>010011=>2
[4,7,3,6,1,2,5]=>010100=>4
[4,7,3,6,1,5,2]=>010101=>3
[4,7,3,6,2,1,5]=>010110=>2
[4,7,3,6,2,5,1]=>010101=>3
[4,7,3,6,5,1,2]=>010110=>2
[4,7,3,6,5,2,1]=>010111=>1
[4,7,5,1,2,3,6]=>011000=>4
[4,7,5,1,2,6,3]=>011001=>3
[4,7,5,1,3,2,6]=>011010=>3
[4,7,5,1,3,6,2]=>011001=>3
[4,7,5,1,6,2,3]=>011010=>3
[4,7,5,1,6,3,2]=>011011=>2
[4,7,5,2,1,3,6]=>011100=>3
[4,7,5,2,1,6,3]=>011101=>2
[4,7,5,2,3,1,6]=>011010=>3
[4,7,5,2,3,6,1]=>011001=>3
[4,7,5,2,6,1,3]=>011010=>3
[4,7,5,2,6,3,1]=>011011=>2
[4,7,5,3,1,2,6]=>011100=>3
[4,7,5,3,1,6,2]=>011101=>2
[4,7,5,3,2,1,6]=>011110=>2
[4,7,5,3,2,6,1]=>011101=>2
[4,7,5,3,6,1,2]=>011010=>3
[4,7,5,3,6,2,1]=>011011=>2
[4,7,5,6,1,2,3]=>010100=>4
[4,7,5,6,1,3,2]=>010101=>3
[4,7,5,6,2,1,3]=>010110=>2
[4,7,5,6,2,3,1]=>010101=>3
[4,7,5,6,3,1,2]=>010110=>2
[4,7,5,6,3,2,1]=>010111=>1
[4,7,6,1,2,3,5]=>011000=>4
[4,7,6,1,2,5,3]=>011001=>3
[4,7,6,1,3,2,5]=>011010=>3
[4,7,6,1,3,5,2]=>011001=>3
[4,7,6,1,5,2,3]=>011010=>3
[4,7,6,1,5,3,2]=>011011=>2
[4,7,6,2,1,3,5]=>011100=>3
[4,7,6,2,1,5,3]=>011101=>2
[4,7,6,2,3,1,5]=>011010=>3
[4,7,6,2,3,5,1]=>011001=>3
[4,7,6,2,5,1,3]=>011010=>3
[4,7,6,2,5,3,1]=>011011=>2
[4,7,6,3,1,2,5]=>011100=>3
[4,7,6,3,1,5,2]=>011101=>2
[4,7,6,3,2,1,5]=>011110=>2
[4,7,6,3,2,5,1]=>011101=>2
[4,7,6,3,5,1,2]=>011010=>3
[4,7,6,3,5,2,1]=>011011=>2
[4,7,6,5,1,2,3]=>011100=>3
[4,7,6,5,1,3,2]=>011101=>2
[4,7,6,5,2,1,3]=>011110=>2
[4,7,6,5,2,3,1]=>011101=>2
[4,7,6,5,3,1,2]=>011110=>2
[4,7,6,5,3,2,1]=>011111=>1
[5,1,2,3,4,6,7]=>100000=>6
[5,1,2,3,4,7,6]=>100001=>5
[5,1,2,3,6,4,7]=>100010=>5
[5,1,2,3,6,7,4]=>100001=>5
[5,1,2,3,7,4,6]=>100010=>5
[5,1,2,3,7,6,4]=>100011=>4
[5,1,2,4,3,6,7]=>100100=>6
[5,1,2,4,3,7,6]=>100101=>4
[5,1,2,4,6,3,7]=>100010=>5
[5,1,2,4,6,7,3]=>100001=>5
[5,1,2,4,7,3,6]=>100010=>5
[5,1,2,4,7,6,3]=>100011=>4
[5,1,2,6,3,4,7]=>100100=>6
[5,1,2,6,3,7,4]=>100101=>4
[5,1,2,6,4,3,7]=>100110=>4
[5,1,2,6,4,7,3]=>100101=>4
[5,1,2,6,7,3,4]=>100010=>5
[5,1,2,6,7,4,3]=>100011=>4
[5,1,2,7,3,4,6]=>100100=>6
[5,1,2,7,3,6,4]=>100101=>4
[5,1,2,7,4,3,6]=>100110=>4
[5,1,2,7,4,6,3]=>100101=>4
[5,1,2,7,6,3,4]=>100110=>4
[5,1,2,7,6,4,3]=>100111=>3
[5,1,3,2,4,6,7]=>101000=>6
[5,1,3,2,4,7,6]=>101001=>5
[5,1,3,2,6,4,7]=>101010=>6
[5,1,3,2,6,7,4]=>101001=>5
[5,1,3,2,7,4,6]=>101010=>6
[5,1,3,2,7,6,4]=>101011=>3
[5,1,3,4,2,6,7]=>100100=>6
[5,1,3,4,2,7,6]=>100101=>4
[5,1,3,4,6,2,7]=>100010=>5
[5,1,3,4,6,7,2]=>100001=>5
[5,1,3,4,7,2,6]=>100010=>5
[5,1,3,4,7,6,2]=>100011=>4
[5,1,3,6,2,4,7]=>100100=>6
[5,1,3,6,2,7,4]=>100101=>4
[5,1,3,6,4,2,7]=>100110=>4
[5,1,3,6,4,7,2]=>100101=>4
[5,1,3,6,7,2,4]=>100010=>5
[5,1,3,6,7,4,2]=>100011=>4
[5,1,3,7,2,4,6]=>100100=>6
[5,1,3,7,2,6,4]=>100101=>4
[5,1,3,7,4,2,6]=>100110=>4
[5,1,3,7,4,6,2]=>100101=>4
[5,1,3,7,6,2,4]=>100110=>4
[5,1,3,7,6,4,2]=>100111=>3
[5,1,4,2,3,6,7]=>101000=>6
[5,1,4,2,3,7,6]=>101001=>5
[5,1,4,2,6,3,7]=>101010=>6
[5,1,4,2,6,7,3]=>101001=>5
[5,1,4,2,7,3,6]=>101010=>6
[5,1,4,2,7,6,3]=>101011=>3
[5,1,4,3,2,6,7]=>101100=>5
[5,1,4,3,2,7,6]=>101101=>4
[5,1,4,3,6,2,7]=>101010=>6
[5,1,4,3,6,7,2]=>101001=>5
[5,1,4,3,7,2,6]=>101010=>6
[5,1,4,3,7,6,2]=>101011=>3
[5,1,4,6,2,3,7]=>100100=>6
[5,1,4,6,2,7,3]=>100101=>4
[5,1,4,6,3,2,7]=>100110=>4
[5,1,4,6,3,7,2]=>100101=>4
[5,1,4,6,7,2,3]=>100010=>5
[5,1,4,6,7,3,2]=>100011=>4
[5,1,4,7,2,3,6]=>100100=>6
[5,1,4,7,2,6,3]=>100101=>4
[5,1,4,7,3,2,6]=>100110=>4
[5,1,4,7,3,6,2]=>100101=>4
[5,1,4,7,6,2,3]=>100110=>4
[5,1,4,7,6,3,2]=>100111=>3
[5,1,6,2,3,4,7]=>101000=>6
[5,1,6,2,3,7,4]=>101001=>5
[5,1,6,2,4,3,7]=>101010=>6
[5,1,6,2,4,7,3]=>101001=>5
[5,1,6,2,7,3,4]=>101010=>6
[5,1,6,2,7,4,3]=>101011=>3
[5,1,6,3,2,4,7]=>101100=>5
[5,1,6,3,2,7,4]=>101101=>4
[5,1,6,3,4,2,7]=>101010=>6
[5,1,6,3,4,7,2]=>101001=>5
[5,1,6,3,7,2,4]=>101010=>6
[5,1,6,3,7,4,2]=>101011=>3
[5,1,6,4,2,3,7]=>101100=>5
[5,1,6,4,2,7,3]=>101101=>4
[5,1,6,4,3,2,7]=>101110=>4
[5,1,6,4,3,7,2]=>101101=>4
[5,1,6,4,7,2,3]=>101010=>6
[5,1,6,4,7,3,2]=>101011=>3
[5,1,6,7,2,3,4]=>100100=>6
[5,1,6,7,2,4,3]=>100101=>4
[5,1,6,7,3,2,4]=>100110=>4
[5,1,6,7,3,4,2]=>100101=>4
[5,1,6,7,4,2,3]=>100110=>4
[5,1,6,7,4,3,2]=>100111=>3
[5,1,7,2,3,4,6]=>101000=>6
[5,1,7,2,3,6,4]=>101001=>5
[5,1,7,2,4,3,6]=>101010=>6
[5,1,7,2,4,6,3]=>101001=>5
[5,1,7,2,6,3,4]=>101010=>6
[5,1,7,2,6,4,3]=>101011=>3
[5,1,7,3,2,4,6]=>101100=>5
[5,1,7,3,2,6,4]=>101101=>4
[5,1,7,3,4,2,6]=>101010=>6
[5,1,7,3,4,6,2]=>101001=>5
[5,1,7,3,6,2,4]=>101010=>6
[5,1,7,3,6,4,2]=>101011=>3
[5,1,7,4,2,3,6]=>101100=>5
[5,1,7,4,2,6,3]=>101101=>4
[5,1,7,4,3,2,6]=>101110=>4
[5,1,7,4,3,6,2]=>101101=>4
[5,1,7,4,6,2,3]=>101010=>6
[5,1,7,4,6,3,2]=>101011=>3
[5,1,7,6,2,3,4]=>101100=>5
[5,1,7,6,2,4,3]=>101101=>4
[5,1,7,6,3,2,4]=>101110=>4
[5,1,7,6,3,4,2]=>101101=>4
[5,1,7,6,4,2,3]=>101110=>4
[5,1,7,6,4,3,2]=>101111=>2
[5,2,1,3,4,6,7]=>110000=>6
[5,2,1,3,4,7,6]=>110001=>5
[5,2,1,3,6,4,7]=>110010=>6
[5,2,1,3,6,7,4]=>110001=>5
[5,2,1,3,7,4,6]=>110010=>6
[5,2,1,3,7,6,4]=>110011=>4
[5,2,1,4,3,6,7]=>110100=>6
[5,2,1,4,3,7,6]=>110101=>5
[5,2,1,4,6,3,7]=>110010=>6
[5,2,1,4,6,7,3]=>110001=>5
[5,2,1,4,7,3,6]=>110010=>6
[5,2,1,4,7,6,3]=>110011=>4
[5,2,1,6,3,4,7]=>110100=>6
[5,2,1,6,3,7,4]=>110101=>5
[5,2,1,6,4,3,7]=>110110=>6
[5,2,1,6,4,7,3]=>110101=>5
[5,2,1,6,7,3,4]=>110010=>6
[5,2,1,6,7,4,3]=>110011=>4
[5,2,1,7,3,4,6]=>110100=>6
[5,2,1,7,3,6,4]=>110101=>5
[5,2,1,7,4,3,6]=>110110=>6
[5,2,1,7,4,6,3]=>110101=>5
[5,2,1,7,6,3,4]=>110110=>6
[5,2,1,7,6,4,3]=>110111=>3
[5,2,3,1,4,6,7]=>101000=>6
[5,2,3,1,4,7,6]=>101001=>5
[5,2,3,1,6,4,7]=>101010=>6
[5,2,3,1,6,7,4]=>101001=>5
[5,2,3,1,7,4,6]=>101010=>6
[5,2,3,1,7,6,4]=>101011=>3
[5,2,3,4,1,6,7]=>100100=>6
[5,2,3,4,1,7,6]=>100101=>4
[5,2,3,4,6,1,7]=>100010=>5
[5,2,3,4,6,7,1]=>100001=>5
[5,2,3,4,7,1,6]=>100010=>5
[5,2,3,4,7,6,1]=>100011=>4
[5,2,3,6,1,4,7]=>100100=>6
[5,2,3,6,1,7,4]=>100101=>4
[5,2,3,6,4,1,7]=>100110=>4
[5,2,3,6,4,7,1]=>100101=>4
[5,2,3,6,7,1,4]=>100010=>5
[5,2,3,6,7,4,1]=>100011=>4
[5,2,3,7,1,4,6]=>100100=>6
[5,2,3,7,1,6,4]=>100101=>4
[5,2,3,7,4,1,6]=>100110=>4
[5,2,3,7,4,6,1]=>100101=>4
[5,2,3,7,6,1,4]=>100110=>4
[5,2,3,7,6,4,1]=>100111=>3
[5,2,4,1,3,6,7]=>101000=>6
[5,2,4,1,3,7,6]=>101001=>5
[5,2,4,1,6,3,7]=>101010=>6
[5,2,4,1,6,7,3]=>101001=>5
[5,2,4,1,7,3,6]=>101010=>6
[5,2,4,1,7,6,3]=>101011=>3
[5,2,4,3,1,6,7]=>101100=>5
[5,2,4,3,1,7,6]=>101101=>4
[5,2,4,3,6,1,7]=>101010=>6
[5,2,4,3,6,7,1]=>101001=>5
[5,2,4,3,7,1,6]=>101010=>6
[5,2,4,3,7,6,1]=>101011=>3
[5,2,4,6,1,3,7]=>100100=>6
[5,2,4,6,1,7,3]=>100101=>4
[5,2,4,6,3,1,7]=>100110=>4
[5,2,4,6,3,7,1]=>100101=>4
[5,2,4,6,7,1,3]=>100010=>5
[5,2,4,6,7,3,1]=>100011=>4
[5,2,4,7,1,3,6]=>100100=>6
[5,2,4,7,1,6,3]=>100101=>4
[5,2,4,7,3,1,6]=>100110=>4
[5,2,4,7,3,6,1]=>100101=>4
[5,2,4,7,6,1,3]=>100110=>4
[5,2,4,7,6,3,1]=>100111=>3
[5,2,6,1,3,4,7]=>101000=>6
[5,2,6,1,3,7,4]=>101001=>5
[5,2,6,1,4,3,7]=>101010=>6
[5,2,6,1,4,7,3]=>101001=>5
[5,2,6,1,7,3,4]=>101010=>6
[5,2,6,1,7,4,3]=>101011=>3
[5,2,6,3,1,4,7]=>101100=>5
[5,2,6,3,1,7,4]=>101101=>4
[5,2,6,3,4,1,7]=>101010=>6
[5,2,6,3,4,7,1]=>101001=>5
[5,2,6,3,7,1,4]=>101010=>6
[5,2,6,3,7,4,1]=>101011=>3
[5,2,6,4,1,3,7]=>101100=>5
[5,2,6,4,1,7,3]=>101101=>4
[5,2,6,4,3,1,7]=>101110=>4
[5,2,6,4,3,7,1]=>101101=>4
[5,2,6,4,7,1,3]=>101010=>6
[5,2,6,4,7,3,1]=>101011=>3
[5,2,6,7,1,3,4]=>100100=>6
[5,2,6,7,1,4,3]=>100101=>4
[5,2,6,7,3,1,4]=>100110=>4
[5,2,6,7,3,4,1]=>100101=>4
[5,2,6,7,4,1,3]=>100110=>4
[5,2,6,7,4,3,1]=>100111=>3
[5,2,7,1,3,4,6]=>101000=>6
[5,2,7,1,3,6,4]=>101001=>5
[5,2,7,1,4,3,6]=>101010=>6
[5,2,7,1,4,6,3]=>101001=>5
[5,2,7,1,6,3,4]=>101010=>6
[5,2,7,1,6,4,3]=>101011=>3
[5,2,7,3,1,4,6]=>101100=>5
[5,2,7,3,1,6,4]=>101101=>4
[5,2,7,3,4,1,6]=>101010=>6
[5,2,7,3,4,6,1]=>101001=>5
[5,2,7,3,6,1,4]=>101010=>6
[5,2,7,3,6,4,1]=>101011=>3
[5,2,7,4,1,3,6]=>101100=>5
[5,2,7,4,1,6,3]=>101101=>4
[5,2,7,4,3,1,6]=>101110=>4
[5,2,7,4,3,6,1]=>101101=>4
[5,2,7,4,6,1,3]=>101010=>6
[5,2,7,4,6,3,1]=>101011=>3
[5,2,7,6,1,3,4]=>101100=>5
[5,2,7,6,1,4,3]=>101101=>4
[5,2,7,6,3,1,4]=>101110=>4
[5,2,7,6,3,4,1]=>101101=>4
[5,2,7,6,4,1,3]=>101110=>4
[5,2,7,6,4,3,1]=>101111=>2
[5,3,1,2,4,6,7]=>110000=>6
[5,3,1,2,4,7,6]=>110001=>5
[5,3,1,2,6,4,7]=>110010=>6
[5,3,1,2,6,7,4]=>110001=>5
[5,3,1,2,7,4,6]=>110010=>6
[5,3,1,2,7,6,4]=>110011=>4
[5,3,1,4,2,6,7]=>110100=>6
[5,3,1,4,2,7,6]=>110101=>5
[5,3,1,4,6,2,7]=>110010=>6
[5,3,1,4,6,7,2]=>110001=>5
[5,3,1,4,7,2,6]=>110010=>6
[5,3,1,4,7,6,2]=>110011=>4
[5,3,1,6,2,4,7]=>110100=>6
[5,3,1,6,2,7,4]=>110101=>5
[5,3,1,6,4,2,7]=>110110=>6
[5,3,1,6,4,7,2]=>110101=>5
[5,3,1,6,7,2,4]=>110010=>6
[5,3,1,6,7,4,2]=>110011=>4
[5,3,1,7,2,4,6]=>110100=>6
[5,3,1,7,2,6,4]=>110101=>5
[5,3,1,7,4,2,6]=>110110=>6
[5,3,1,7,4,6,2]=>110101=>5
[5,3,1,7,6,2,4]=>110110=>6
[5,3,1,7,6,4,2]=>110111=>3
[5,3,2,1,4,6,7]=>111000=>6
[5,3,2,1,4,7,6]=>111001=>5
[5,3,2,1,6,4,7]=>111010=>6
[5,3,2,1,6,7,4]=>111001=>5
[5,3,2,1,7,4,6]=>111010=>6
[5,3,2,1,7,6,4]=>111011=>4
[5,3,2,4,1,6,7]=>110100=>6
[5,3,2,4,1,7,6]=>110101=>5
[5,3,2,4,6,1,7]=>110010=>6
[5,3,2,4,6,7,1]=>110001=>5
[5,3,2,4,7,1,6]=>110010=>6
[5,3,2,4,7,6,1]=>110011=>4
[5,3,2,6,1,4,7]=>110100=>6
[5,3,2,6,1,7,4]=>110101=>5
[5,3,2,6,4,1,7]=>110110=>6
[5,3,2,6,4,7,1]=>110101=>5
[5,3,2,6,7,1,4]=>110010=>6
[5,3,2,6,7,4,1]=>110011=>4
[5,3,2,7,1,4,6]=>110100=>6
[5,3,2,7,1,6,4]=>110101=>5
[5,3,2,7,4,1,6]=>110110=>6
[5,3,2,7,4,6,1]=>110101=>5
[5,3,2,7,6,1,4]=>110110=>6
[5,3,2,7,6,4,1]=>110111=>3
[5,3,4,1,2,6,7]=>101000=>6
[5,3,4,1,2,7,6]=>101001=>5
[5,3,4,1,6,2,7]=>101010=>6
[5,3,4,1,6,7,2]=>101001=>5
[5,3,4,1,7,2,6]=>101010=>6
[5,3,4,1,7,6,2]=>101011=>3
[5,3,4,2,1,6,7]=>101100=>5
[5,3,4,2,1,7,6]=>101101=>4
[5,3,4,2,6,1,7]=>101010=>6
[5,3,4,2,6,7,1]=>101001=>5
[5,3,4,2,7,1,6]=>101010=>6
[5,3,4,2,7,6,1]=>101011=>3
[5,3,4,6,1,2,7]=>100100=>6
[5,3,4,6,1,7,2]=>100101=>4
[5,3,4,6,2,1,7]=>100110=>4
[5,3,4,6,2,7,1]=>100101=>4
[5,3,4,6,7,1,2]=>100010=>5
[5,3,4,6,7,2,1]=>100011=>4
[5,3,4,7,1,2,6]=>100100=>6
[5,3,4,7,1,6,2]=>100101=>4
[5,3,4,7,2,1,6]=>100110=>4
[5,3,4,7,2,6,1]=>100101=>4
[5,3,4,7,6,1,2]=>100110=>4
[5,3,4,7,6,2,1]=>100111=>3
[5,3,6,1,2,4,7]=>101000=>6
[5,3,6,1,2,7,4]=>101001=>5
[5,3,6,1,4,2,7]=>101010=>6
[5,3,6,1,4,7,2]=>101001=>5
[5,3,6,1,7,2,4]=>101010=>6
[5,3,6,1,7,4,2]=>101011=>3
[5,3,6,2,1,4,7]=>101100=>5
[5,3,6,2,1,7,4]=>101101=>4
[5,3,6,2,4,1,7]=>101010=>6
[5,3,6,2,4,7,1]=>101001=>5
[5,3,6,2,7,1,4]=>101010=>6
[5,3,6,2,7,4,1]=>101011=>3
[5,3,6,4,1,2,7]=>101100=>5
[5,3,6,4,1,7,2]=>101101=>4
[5,3,6,4,2,1,7]=>101110=>4
[5,3,6,4,2,7,1]=>101101=>4
[5,3,6,4,7,1,2]=>101010=>6
[5,3,6,4,7,2,1]=>101011=>3
[5,3,6,7,1,2,4]=>100100=>6
[5,3,6,7,1,4,2]=>100101=>4
[5,3,6,7,2,1,4]=>100110=>4
[5,3,6,7,2,4,1]=>100101=>4
[5,3,6,7,4,1,2]=>100110=>4
[5,3,6,7,4,2,1]=>100111=>3
[5,3,7,1,2,4,6]=>101000=>6
[5,3,7,1,2,6,4]=>101001=>5
[5,3,7,1,4,2,6]=>101010=>6
[5,3,7,1,4,6,2]=>101001=>5
[5,3,7,1,6,2,4]=>101010=>6
[5,3,7,1,6,4,2]=>101011=>3
[5,3,7,2,1,4,6]=>101100=>5
[5,3,7,2,1,6,4]=>101101=>4
[5,3,7,2,4,1,6]=>101010=>6
[5,3,7,2,4,6,1]=>101001=>5
[5,3,7,2,6,1,4]=>101010=>6
[5,3,7,2,6,4,1]=>101011=>3
[5,3,7,4,1,2,6]=>101100=>5
[5,3,7,4,1,6,2]=>101101=>4
[5,3,7,4,2,1,6]=>101110=>4
[5,3,7,4,2,6,1]=>101101=>4
[5,3,7,4,6,1,2]=>101010=>6
[5,3,7,4,6,2,1]=>101011=>3
[5,3,7,6,1,2,4]=>101100=>5
[5,3,7,6,1,4,2]=>101101=>4
[5,3,7,6,2,1,4]=>101110=>4
[5,3,7,6,2,4,1]=>101101=>4
[5,3,7,6,4,1,2]=>101110=>4
[5,3,7,6,4,2,1]=>101111=>2
[5,4,1,2,3,6,7]=>110000=>6
[5,4,1,2,3,7,6]=>110001=>5
[5,4,1,2,6,3,7]=>110010=>6
[5,4,1,2,6,7,3]=>110001=>5
[5,4,1,2,7,3,6]=>110010=>6
[5,4,1,2,7,6,3]=>110011=>4
[5,4,1,3,2,6,7]=>110100=>6
[5,4,1,3,2,7,6]=>110101=>5
[5,4,1,3,6,2,7]=>110010=>6
[5,4,1,3,6,7,2]=>110001=>5
[5,4,1,3,7,2,6]=>110010=>6
[5,4,1,3,7,6,2]=>110011=>4
[5,4,1,6,2,3,7]=>110100=>6
[5,4,1,6,2,7,3]=>110101=>5
[5,4,1,6,3,2,7]=>110110=>6
[5,4,1,6,3,7,2]=>110101=>5
[5,4,1,6,7,2,3]=>110010=>6
[5,4,1,6,7,3,2]=>110011=>4
[5,4,1,7,2,3,6]=>110100=>6
[5,4,1,7,2,6,3]=>110101=>5
[5,4,1,7,3,2,6]=>110110=>6
[5,4,1,7,3,6,2]=>110101=>5
[5,4,1,7,6,2,3]=>110110=>6
[5,4,1,7,6,3,2]=>110111=>3
[5,4,2,1,3,6,7]=>111000=>6
[5,4,2,1,3,7,6]=>111001=>5
[5,4,2,1,6,3,7]=>111010=>6
[5,4,2,1,6,7,3]=>111001=>5
[5,4,2,1,7,3,6]=>111010=>6
[5,4,2,1,7,6,3]=>111011=>4
[5,4,2,3,1,6,7]=>110100=>6
[5,4,2,3,1,7,6]=>110101=>5
[5,4,2,3,6,1,7]=>110010=>6
[5,4,2,3,6,7,1]=>110001=>5
[5,4,2,3,7,1,6]=>110010=>6
[5,4,2,3,7,6,1]=>110011=>4
[5,4,2,6,1,3,7]=>110100=>6
[5,4,2,6,1,7,3]=>110101=>5
[5,4,2,6,3,1,7]=>110110=>6
[5,4,2,6,3,7,1]=>110101=>5
[5,4,2,6,7,1,3]=>110010=>6
[5,4,2,6,7,3,1]=>110011=>4
[5,4,2,7,1,3,6]=>110100=>6
[5,4,2,7,1,6,3]=>110101=>5
[5,4,2,7,3,1,6]=>110110=>6
[5,4,2,7,3,6,1]=>110101=>5
[5,4,2,7,6,1,3]=>110110=>6
[5,4,2,7,6,3,1]=>110111=>3
[5,4,3,1,2,6,7]=>111000=>6
[5,4,3,1,2,7,6]=>111001=>5
[5,4,3,1,6,2,7]=>111010=>6
[5,4,3,1,6,7,2]=>111001=>5
[5,4,3,1,7,2,6]=>111010=>6
[5,4,3,1,7,6,2]=>111011=>4
[5,4,3,2,1,6,7]=>111100=>6
[5,4,3,2,1,7,6]=>111101=>5
[5,4,3,2,6,1,7]=>111010=>6
[5,4,3,2,6,7,1]=>111001=>5
[5,4,3,2,7,1,6]=>111010=>6
[5,4,3,2,7,6,1]=>111011=>4
[5,4,3,6,1,2,7]=>110100=>6
[5,4,3,6,1,7,2]=>110101=>5
[5,4,3,6,2,1,7]=>110110=>6
[5,4,3,6,2,7,1]=>110101=>5
[5,4,3,6,7,1,2]=>110010=>6
[5,4,3,6,7,2,1]=>110011=>4
[5,4,3,7,1,2,6]=>110100=>6
[5,4,3,7,1,6,2]=>110101=>5
[5,4,3,7,2,1,6]=>110110=>6
[5,4,3,7,2,6,1]=>110101=>5
[5,4,3,7,6,1,2]=>110110=>6
[5,4,3,7,6,2,1]=>110111=>3
[5,4,6,1,2,3,7]=>101000=>6
[5,4,6,1,2,7,3]=>101001=>5
[5,4,6,1,3,2,7]=>101010=>6
[5,4,6,1,3,7,2]=>101001=>5
[5,4,6,1,7,2,3]=>101010=>6
[5,4,6,1,7,3,2]=>101011=>3
[5,4,6,2,1,3,7]=>101100=>5
[5,4,6,2,1,7,3]=>101101=>4
[5,4,6,2,3,1,7]=>101010=>6
[5,4,6,2,3,7,1]=>101001=>5
[5,4,6,2,7,1,3]=>101010=>6
[5,4,6,2,7,3,1]=>101011=>3
[5,4,6,3,1,2,7]=>101100=>5
[5,4,6,3,1,7,2]=>101101=>4
[5,4,6,3,2,1,7]=>101110=>4
[5,4,6,3,2,7,1]=>101101=>4
[5,4,6,3,7,1,2]=>101010=>6
[5,4,6,3,7,2,1]=>101011=>3
[5,4,6,7,1,2,3]=>100100=>6
[5,4,6,7,1,3,2]=>100101=>4
[5,4,6,7,2,1,3]=>100110=>4
[5,4,6,7,2,3,1]=>100101=>4
[5,4,6,7,3,1,2]=>100110=>4
[5,4,6,7,3,2,1]=>100111=>3
[5,4,7,1,2,3,6]=>101000=>6
[5,4,7,1,2,6,3]=>101001=>5
[5,4,7,1,3,2,6]=>101010=>6
[5,4,7,1,3,6,2]=>101001=>5
[5,4,7,1,6,2,3]=>101010=>6
[5,4,7,1,6,3,2]=>101011=>3
[5,4,7,2,1,3,6]=>101100=>5
[5,4,7,2,1,6,3]=>101101=>4
[5,4,7,2,3,1,6]=>101010=>6
[5,4,7,2,3,6,1]=>101001=>5
[5,4,7,2,6,1,3]=>101010=>6
[5,4,7,2,6,3,1]=>101011=>3
[5,4,7,3,1,2,6]=>101100=>5
[5,4,7,3,1,6,2]=>101101=>4
[5,4,7,3,2,1,6]=>101110=>4
[5,4,7,3,2,6,1]=>101101=>4
[5,4,7,3,6,1,2]=>101010=>6
[5,4,7,3,6,2,1]=>101011=>3
[5,4,7,6,1,2,3]=>101100=>5
[5,4,7,6,1,3,2]=>101101=>4
[5,4,7,6,2,1,3]=>101110=>4
[5,4,7,6,2,3,1]=>101101=>4
[5,4,7,6,3,1,2]=>101110=>4
[5,4,7,6,3,2,1]=>101111=>2
[5,6,1,2,3,4,7]=>010000=>5
[5,6,1,2,3,7,4]=>010001=>3
[5,6,1,2,4,3,7]=>010010=>4
[5,6,1,2,4,7,3]=>010001=>3
[5,6,1,2,7,3,4]=>010010=>4
[5,6,1,2,7,4,3]=>010011=>2
[5,6,1,3,2,4,7]=>010100=>4
[5,6,1,3,2,7,4]=>010101=>3
[5,6,1,3,4,2,7]=>010010=>4
[5,6,1,3,4,7,2]=>010001=>3
[5,6,1,3,7,2,4]=>010010=>4
[5,6,1,3,7,4,2]=>010011=>2
[5,6,1,4,2,3,7]=>010100=>4
[5,6,1,4,2,7,3]=>010101=>3
[5,6,1,4,3,2,7]=>010110=>2
[5,6,1,4,3,7,2]=>010101=>3
[5,6,1,4,7,2,3]=>010010=>4
[5,6,1,4,7,3,2]=>010011=>2
[5,6,1,7,2,3,4]=>010100=>4
[5,6,1,7,2,4,3]=>010101=>3
[5,6,1,7,3,2,4]=>010110=>2
[5,6,1,7,3,4,2]=>010101=>3
[5,6,1,7,4,2,3]=>010110=>2
[5,6,1,7,4,3,2]=>010111=>1
[5,6,2,1,3,4,7]=>011000=>4
[5,6,2,1,3,7,4]=>011001=>3
[5,6,2,1,4,3,7]=>011010=>3
[5,6,2,1,4,7,3]=>011001=>3
[5,6,2,1,7,3,4]=>011010=>3
[5,6,2,1,7,4,3]=>011011=>2
[5,6,2,3,1,4,7]=>010100=>4
[5,6,2,3,1,7,4]=>010101=>3
[5,6,2,3,4,1,7]=>010010=>4
[5,6,2,3,4,7,1]=>010001=>3
[5,6,2,3,7,1,4]=>010010=>4
[5,6,2,3,7,4,1]=>010011=>2
[5,6,2,4,1,3,7]=>010100=>4
[5,6,2,4,1,7,3]=>010101=>3
[5,6,2,4,3,1,7]=>010110=>2
[5,6,2,4,3,7,1]=>010101=>3
[5,6,2,4,7,1,3]=>010010=>4
[5,6,2,4,7,3,1]=>010011=>2
[5,6,2,7,1,3,4]=>010100=>4
[5,6,2,7,1,4,3]=>010101=>3
[5,6,2,7,3,1,4]=>010110=>2
[5,6,2,7,3,4,1]=>010101=>3
[5,6,2,7,4,1,3]=>010110=>2
[5,6,2,7,4,3,1]=>010111=>1
[5,6,3,1,2,4,7]=>011000=>4
[5,6,3,1,2,7,4]=>011001=>3
[5,6,3,1,4,2,7]=>011010=>3
[5,6,3,1,4,7,2]=>011001=>3
[5,6,3,1,7,2,4]=>011010=>3
[5,6,3,1,7,4,2]=>011011=>2
[5,6,3,2,1,4,7]=>011100=>3
[5,6,3,2,1,7,4]=>011101=>2
[5,6,3,2,4,1,7]=>011010=>3
[5,6,3,2,4,7,1]=>011001=>3
[5,6,3,2,7,1,4]=>011010=>3
[5,6,3,2,7,4,1]=>011011=>2
[5,6,3,4,1,2,7]=>010100=>4
[5,6,3,4,1,7,2]=>010101=>3
[5,6,3,4,2,1,7]=>010110=>2
[5,6,3,4,2,7,1]=>010101=>3
[5,6,3,4,7,1,2]=>010010=>4
[5,6,3,4,7,2,1]=>010011=>2
[5,6,3,7,1,2,4]=>010100=>4
[5,6,3,7,1,4,2]=>010101=>3
[5,6,3,7,2,1,4]=>010110=>2
[5,6,3,7,2,4,1]=>010101=>3
[5,6,3,7,4,1,2]=>010110=>2
[5,6,3,7,4,2,1]=>010111=>1
[5,6,4,1,2,3,7]=>011000=>4
[5,6,4,1,2,7,3]=>011001=>3
[5,6,4,1,3,2,7]=>011010=>3
[5,6,4,1,3,7,2]=>011001=>3
[5,6,4,1,7,2,3]=>011010=>3
[5,6,4,1,7,3,2]=>011011=>2
[5,6,4,2,1,3,7]=>011100=>3
[5,6,4,2,1,7,3]=>011101=>2
[5,6,4,2,3,1,7]=>011010=>3
[5,6,4,2,3,7,1]=>011001=>3
[5,6,4,2,7,1,3]=>011010=>3
[5,6,4,2,7,3,1]=>011011=>2
[5,6,4,3,1,2,7]=>011100=>3
[5,6,4,3,1,7,2]=>011101=>2
[5,6,4,3,2,1,7]=>011110=>2
[5,6,4,3,2,7,1]=>011101=>2
[5,6,4,3,7,1,2]=>011010=>3
[5,6,4,3,7,2,1]=>011011=>2
[5,6,4,7,1,2,3]=>010100=>4
[5,6,4,7,1,3,2]=>010101=>3
[5,6,4,7,2,1,3]=>010110=>2
[5,6,4,7,2,3,1]=>010101=>3
[5,6,4,7,3,1,2]=>010110=>2
[5,6,4,7,3,2,1]=>010111=>1
[5,6,7,1,2,3,4]=>001000=>4
[5,6,7,1,2,4,3]=>001001=>2
[5,6,7,1,3,2,4]=>001010=>2
[5,6,7,1,3,4,2]=>001001=>2
[5,6,7,1,4,2,3]=>001010=>2
[5,6,7,1,4,3,2]=>001011=>1
[5,6,7,2,1,3,4]=>001100=>3
[5,6,7,2,1,4,3]=>001101=>1
[5,6,7,2,3,1,4]=>001010=>2
[5,6,7,2,3,4,1]=>001001=>2
[5,6,7,2,4,1,3]=>001010=>2
[5,6,7,2,4,3,1]=>001011=>1
[5,6,7,3,1,2,4]=>001100=>3
[5,6,7,3,1,4,2]=>001101=>1
[5,6,7,3,2,1,4]=>001110=>2
[5,6,7,3,2,4,1]=>001101=>1
[5,6,7,3,4,1,2]=>001010=>2
[5,6,7,3,4,2,1]=>001011=>1
[5,6,7,4,1,2,3]=>001100=>3
[5,6,7,4,1,3,2]=>001101=>1
[5,6,7,4,2,1,3]=>001110=>2
[5,6,7,4,2,3,1]=>001101=>1
[5,6,7,4,3,1,2]=>001110=>2
[5,6,7,4,3,2,1]=>001111=>1
[5,7,1,2,3,4,6]=>010000=>5
[5,7,1,2,3,6,4]=>010001=>3
[5,7,1,2,4,3,6]=>010010=>4
[5,7,1,2,4,6,3]=>010001=>3
[5,7,1,2,6,3,4]=>010010=>4
[5,7,1,2,6,4,3]=>010011=>2
[5,7,1,3,2,4,6]=>010100=>4
[5,7,1,3,2,6,4]=>010101=>3
[5,7,1,3,4,2,6]=>010010=>4
[5,7,1,3,4,6,2]=>010001=>3
[5,7,1,3,6,2,4]=>010010=>4
[5,7,1,3,6,4,2]=>010011=>2
[5,7,1,4,2,3,6]=>010100=>4
[5,7,1,4,2,6,3]=>010101=>3
[5,7,1,4,3,2,6]=>010110=>2
[5,7,1,4,3,6,2]=>010101=>3
[5,7,1,4,6,2,3]=>010010=>4
[5,7,1,4,6,3,2]=>010011=>2
[5,7,1,6,2,3,4]=>010100=>4
[5,7,1,6,2,4,3]=>010101=>3
[5,7,1,6,3,2,4]=>010110=>2
[5,7,1,6,3,4,2]=>010101=>3
[5,7,1,6,4,2,3]=>010110=>2
[5,7,1,6,4,3,2]=>010111=>1
[5,7,2,1,3,4,6]=>011000=>4
[5,7,2,1,3,6,4]=>011001=>3
[5,7,2,1,4,3,6]=>011010=>3
[5,7,2,1,4,6,3]=>011001=>3
[5,7,2,1,6,3,4]=>011010=>3
[5,7,2,1,6,4,3]=>011011=>2
[5,7,2,3,1,4,6]=>010100=>4
[5,7,2,3,1,6,4]=>010101=>3
[5,7,2,3,4,1,6]=>010010=>4
[5,7,2,3,4,6,1]=>010001=>3
[5,7,2,3,6,1,4]=>010010=>4
[5,7,2,3,6,4,1]=>010011=>2
[5,7,2,4,1,3,6]=>010100=>4
[5,7,2,4,1,6,3]=>010101=>3
[5,7,2,4,3,1,6]=>010110=>2
[5,7,2,4,3,6,1]=>010101=>3
[5,7,2,4,6,1,3]=>010010=>4
[5,7,2,4,6,3,1]=>010011=>2
[5,7,2,6,1,3,4]=>010100=>4
[5,7,2,6,1,4,3]=>010101=>3
[5,7,2,6,3,1,4]=>010110=>2
[5,7,2,6,3,4,1]=>010101=>3
[5,7,2,6,4,1,3]=>010110=>2
[5,7,2,6,4,3,1]=>010111=>1
[5,7,3,1,2,4,6]=>011000=>4
[5,7,3,1,2,6,4]=>011001=>3
[5,7,3,1,4,2,6]=>011010=>3
[5,7,3,1,4,6,2]=>011001=>3
[5,7,3,1,6,2,4]=>011010=>3
[5,7,3,1,6,4,2]=>011011=>2
[5,7,3,2,1,4,6]=>011100=>3
[5,7,3,2,1,6,4]=>011101=>2
[5,7,3,2,4,1,6]=>011010=>3
[5,7,3,2,4,6,1]=>011001=>3
[5,7,3,2,6,1,4]=>011010=>3
[5,7,3,2,6,4,1]=>011011=>2
[5,7,3,4,1,2,6]=>010100=>4
[5,7,3,4,1,6,2]=>010101=>3
[5,7,3,4,2,1,6]=>010110=>2
[5,7,3,4,2,6,1]=>010101=>3
[5,7,3,4,6,1,2]=>010010=>4
[5,7,3,4,6,2,1]=>010011=>2
[5,7,3,6,1,2,4]=>010100=>4
[5,7,3,6,1,4,2]=>010101=>3
[5,7,3,6,2,1,4]=>010110=>2
[5,7,3,6,2,4,1]=>010101=>3
[5,7,3,6,4,1,2]=>010110=>2
[5,7,3,6,4,2,1]=>010111=>1
[5,7,4,1,2,3,6]=>011000=>4
[5,7,4,1,2,6,3]=>011001=>3
[5,7,4,1,3,2,6]=>011010=>3
[5,7,4,1,3,6,2]=>011001=>3
[5,7,4,1,6,2,3]=>011010=>3
[5,7,4,1,6,3,2]=>011011=>2
[5,7,4,2,1,3,6]=>011100=>3
[5,7,4,2,1,6,3]=>011101=>2
[5,7,4,2,3,1,6]=>011010=>3
[5,7,4,2,3,6,1]=>011001=>3
[5,7,4,2,6,1,3]=>011010=>3
[5,7,4,2,6,3,1]=>011011=>2
[5,7,4,3,1,2,6]=>011100=>3
[5,7,4,3,1,6,2]=>011101=>2
[5,7,4,3,2,1,6]=>011110=>2
[5,7,4,3,2,6,1]=>011101=>2
[5,7,4,3,6,1,2]=>011010=>3
[5,7,4,3,6,2,1]=>011011=>2
[5,7,4,6,1,2,3]=>010100=>4
[5,7,4,6,1,3,2]=>010101=>3
[5,7,4,6,2,1,3]=>010110=>2
[5,7,4,6,2,3,1]=>010101=>3
[5,7,4,6,3,1,2]=>010110=>2
[5,7,4,6,3,2,1]=>010111=>1
[5,7,6,1,2,3,4]=>011000=>4
[5,7,6,1,2,4,3]=>011001=>3
[5,7,6,1,3,2,4]=>011010=>3
[5,7,6,1,3,4,2]=>011001=>3
[5,7,6,1,4,2,3]=>011010=>3
[5,7,6,1,4,3,2]=>011011=>2
[5,7,6,2,1,3,4]=>011100=>3
[5,7,6,2,1,4,3]=>011101=>2
[5,7,6,2,3,1,4]=>011010=>3
[5,7,6,2,3,4,1]=>011001=>3
[5,7,6,2,4,1,3]=>011010=>3
[5,7,6,2,4,3,1]=>011011=>2
[5,7,6,3,1,2,4]=>011100=>3
[5,7,6,3,1,4,2]=>011101=>2
[5,7,6,3,2,1,4]=>011110=>2
[5,7,6,3,2,4,1]=>011101=>2
[5,7,6,3,4,1,2]=>011010=>3
[5,7,6,3,4,2,1]=>011011=>2
[5,7,6,4,1,2,3]=>011100=>3
[5,7,6,4,1,3,2]=>011101=>2
[5,7,6,4,2,1,3]=>011110=>2
[5,7,6,4,2,3,1]=>011101=>2
[5,7,6,4,3,1,2]=>011110=>2
[5,7,6,4,3,2,1]=>011111=>1
[6,1,2,3,4,5,7]=>100000=>6
[6,1,2,3,4,7,5]=>100001=>5
[6,1,2,3,5,4,7]=>100010=>5
[6,1,2,3,5,7,4]=>100001=>5
[6,1,2,3,7,4,5]=>100010=>5
[6,1,2,3,7,5,4]=>100011=>4
[6,1,2,4,3,5,7]=>100100=>6
[6,1,2,4,3,7,5]=>100101=>4
[6,1,2,4,5,3,7]=>100010=>5
[6,1,2,4,5,7,3]=>100001=>5
[6,1,2,4,7,3,5]=>100010=>5
[6,1,2,4,7,5,3]=>100011=>4
[6,1,2,5,3,4,7]=>100100=>6
[6,1,2,5,3,7,4]=>100101=>4
[6,1,2,5,4,3,7]=>100110=>4
[6,1,2,5,4,7,3]=>100101=>4
[6,1,2,5,7,3,4]=>100010=>5
[6,1,2,5,7,4,3]=>100011=>4
[6,1,2,7,3,4,5]=>100100=>6
[6,1,2,7,3,5,4]=>100101=>4
[6,1,2,7,4,3,5]=>100110=>4
[6,1,2,7,4,5,3]=>100101=>4
[6,1,2,7,5,3,4]=>100110=>4
[6,1,2,7,5,4,3]=>100111=>3
[6,1,3,2,4,5,7]=>101000=>6
[6,1,3,2,4,7,5]=>101001=>5
[6,1,3,2,5,4,7]=>101010=>6
[6,1,3,2,5,7,4]=>101001=>5
[6,1,3,2,7,4,5]=>101010=>6
[6,1,3,2,7,5,4]=>101011=>3
[6,1,3,4,2,5,7]=>100100=>6
[6,1,3,4,2,7,5]=>100101=>4
[6,1,3,4,5,2,7]=>100010=>5
[6,1,3,4,5,7,2]=>100001=>5
[6,1,3,4,7,2,5]=>100010=>5
[6,1,3,4,7,5,2]=>100011=>4
[6,1,3,5,2,4,7]=>100100=>6
[6,1,3,5,2,7,4]=>100101=>4
[6,1,3,5,4,2,7]=>100110=>4
[6,1,3,5,4,7,2]=>100101=>4
[6,1,3,5,7,2,4]=>100010=>5
[6,1,3,5,7,4,2]=>100011=>4
[6,1,3,7,2,4,5]=>100100=>6
[6,1,3,7,2,5,4]=>100101=>4
[6,1,3,7,4,2,5]=>100110=>4
[6,1,3,7,4,5,2]=>100101=>4
[6,1,3,7,5,2,4]=>100110=>4
[6,1,3,7,5,4,2]=>100111=>3
[6,1,4,2,3,5,7]=>101000=>6
[6,1,4,2,3,7,5]=>101001=>5
[6,1,4,2,5,3,7]=>101010=>6
[6,1,4,2,5,7,3]=>101001=>5
[6,1,4,2,7,3,5]=>101010=>6
[6,1,4,2,7,5,3]=>101011=>3
[6,1,4,3,2,5,7]=>101100=>5
[6,1,4,3,2,7,5]=>101101=>4
[6,1,4,3,5,2,7]=>101010=>6
[6,1,4,3,5,7,2]=>101001=>5
[6,1,4,3,7,2,5]=>101010=>6
[6,1,4,3,7,5,2]=>101011=>3
[6,1,4,5,2,3,7]=>100100=>6
[6,1,4,5,2,7,3]=>100101=>4
[6,1,4,5,3,2,7]=>100110=>4
[6,1,4,5,3,7,2]=>100101=>4
[6,1,4,5,7,2,3]=>100010=>5
[6,1,4,5,7,3,2]=>100011=>4
[6,1,4,7,2,3,5]=>100100=>6
[6,1,4,7,2,5,3]=>100101=>4
[6,1,4,7,3,2,5]=>100110=>4
[6,1,4,7,3,5,2]=>100101=>4
[6,1,4,7,5,2,3]=>100110=>4
[6,1,4,7,5,3,2]=>100111=>3
[6,1,5,2,3,4,7]=>101000=>6
[6,1,5,2,3,7,4]=>101001=>5
[6,1,5,2,4,3,7]=>101010=>6
[6,1,5,2,4,7,3]=>101001=>5
[6,1,5,2,7,3,4]=>101010=>6
[6,1,5,2,7,4,3]=>101011=>3
[6,1,5,3,2,4,7]=>101100=>5
[6,1,5,3,2,7,4]=>101101=>4
[6,1,5,3,4,2,7]=>101010=>6
[6,1,5,3,4,7,2]=>101001=>5
[6,1,5,3,7,2,4]=>101010=>6
[6,1,5,3,7,4,2]=>101011=>3
[6,1,5,4,2,3,7]=>101100=>5
[6,1,5,4,2,7,3]=>101101=>4
[6,1,5,4,3,2,7]=>101110=>4
[6,1,5,4,3,7,2]=>101101=>4
[6,1,5,4,7,2,3]=>101010=>6
[6,1,5,4,7,3,2]=>101011=>3
[6,1,5,7,2,3,4]=>100100=>6
[6,1,5,7,2,4,3]=>100101=>4
[6,1,5,7,3,2,4]=>100110=>4
[6,1,5,7,3,4,2]=>100101=>4
[6,1,5,7,4,2,3]=>100110=>4
[6,1,5,7,4,3,2]=>100111=>3
[6,1,7,2,3,4,5]=>101000=>6
[6,1,7,2,3,5,4]=>101001=>5
[6,1,7,2,4,3,5]=>101010=>6
[6,1,7,2,4,5,3]=>101001=>5
[6,1,7,2,5,3,4]=>101010=>6
[6,1,7,2,5,4,3]=>101011=>3
[6,1,7,3,2,4,5]=>101100=>5
[6,1,7,3,2,5,4]=>101101=>4
[6,1,7,3,4,2,5]=>101010=>6
[6,1,7,3,4,5,2]=>101001=>5
[6,1,7,3,5,2,4]=>101010=>6
[6,1,7,3,5,4,2]=>101011=>3
[6,1,7,4,2,3,5]=>101100=>5
[6,1,7,4,2,5,3]=>101101=>4
[6,1,7,4,3,2,5]=>101110=>4
[6,1,7,4,3,5,2]=>101101=>4
[6,1,7,4,5,2,3]=>101010=>6
[6,1,7,4,5,3,2]=>101011=>3
[6,1,7,5,2,3,4]=>101100=>5
[6,1,7,5,2,4,3]=>101101=>4
[6,1,7,5,3,2,4]=>101110=>4
[6,1,7,5,3,4,2]=>101101=>4
[6,1,7,5,4,2,3]=>101110=>4
[6,1,7,5,4,3,2]=>101111=>2
[6,2,1,3,4,5,7]=>110000=>6
[6,2,1,3,4,7,5]=>110001=>5
[6,2,1,3,5,4,7]=>110010=>6
[6,2,1,3,5,7,4]=>110001=>5
[6,2,1,3,7,4,5]=>110010=>6
[6,2,1,3,7,5,4]=>110011=>4
[6,2,1,4,3,5,7]=>110100=>6
[6,2,1,4,3,7,5]=>110101=>5
[6,2,1,4,5,3,7]=>110010=>6
[6,2,1,4,5,7,3]=>110001=>5
[6,2,1,4,7,3,5]=>110010=>6
[6,2,1,4,7,5,3]=>110011=>4
[6,2,1,5,3,4,7]=>110100=>6
[6,2,1,5,3,7,4]=>110101=>5
[6,2,1,5,4,3,7]=>110110=>6
[6,2,1,5,4,7,3]=>110101=>5
[6,2,1,5,7,3,4]=>110010=>6
[6,2,1,5,7,4,3]=>110011=>4
[6,2,1,7,3,4,5]=>110100=>6
[6,2,1,7,3,5,4]=>110101=>5
[6,2,1,7,4,3,5]=>110110=>6
[6,2,1,7,4,5,3]=>110101=>5
[6,2,1,7,5,3,4]=>110110=>6
[6,2,1,7,5,4,3]=>110111=>3
[6,2,3,1,4,5,7]=>101000=>6
[6,2,3,1,4,7,5]=>101001=>5
[6,2,3,1,5,4,7]=>101010=>6
[6,2,3,1,5,7,4]=>101001=>5
[6,2,3,1,7,4,5]=>101010=>6
[6,2,3,1,7,5,4]=>101011=>3
[6,2,3,4,1,5,7]=>100100=>6
[6,2,3,4,1,7,5]=>100101=>4
[6,2,3,4,5,1,7]=>100010=>5
[6,2,3,4,5,7,1]=>100001=>5
[6,2,3,4,7,1,5]=>100010=>5
[6,2,3,4,7,5,1]=>100011=>4
[6,2,3,5,1,4,7]=>100100=>6
[6,2,3,5,1,7,4]=>100101=>4
[6,2,3,5,4,1,7]=>100110=>4
[6,2,3,5,4,7,1]=>100101=>4
[6,2,3,5,7,1,4]=>100010=>5
[6,2,3,5,7,4,1]=>100011=>4
[6,2,3,7,1,4,5]=>100100=>6
[6,2,3,7,1,5,4]=>100101=>4
[6,2,3,7,4,1,5]=>100110=>4
[6,2,3,7,4,5,1]=>100101=>4
[6,2,3,7,5,1,4]=>100110=>4
[6,2,3,7,5,4,1]=>100111=>3
[6,2,4,1,3,5,7]=>101000=>6
[6,2,4,1,3,7,5]=>101001=>5
[6,2,4,1,5,3,7]=>101010=>6
[6,2,4,1,5,7,3]=>101001=>5
[6,2,4,1,7,3,5]=>101010=>6
[6,2,4,1,7,5,3]=>101011=>3
[6,2,4,3,1,5,7]=>101100=>5
[6,2,4,3,1,7,5]=>101101=>4
[6,2,4,3,5,1,7]=>101010=>6
[6,2,4,3,5,7,1]=>101001=>5
[6,2,4,3,7,1,5]=>101010=>6
[6,2,4,3,7,5,1]=>101011=>3
[6,2,4,5,1,3,7]=>100100=>6
[6,2,4,5,1,7,3]=>100101=>4
[6,2,4,5,3,1,7]=>100110=>4
[6,2,4,5,3,7,1]=>100101=>4
[6,2,4,5,7,1,3]=>100010=>5
[6,2,4,5,7,3,1]=>100011=>4
[6,2,4,7,1,3,5]=>100100=>6
[6,2,4,7,1,5,3]=>100101=>4
[6,2,4,7,3,1,5]=>100110=>4
[6,2,4,7,3,5,1]=>100101=>4
[6,2,4,7,5,1,3]=>100110=>4
[6,2,4,7,5,3,1]=>100111=>3
[6,2,5,1,3,4,7]=>101000=>6
[6,2,5,1,3,7,4]=>101001=>5
[6,2,5,1,4,3,7]=>101010=>6
[6,2,5,1,4,7,3]=>101001=>5
[6,2,5,1,7,3,4]=>101010=>6
[6,2,5,1,7,4,3]=>101011=>3
[6,2,5,3,1,4,7]=>101100=>5
[6,2,5,3,1,7,4]=>101101=>4
[6,2,5,3,4,1,7]=>101010=>6
[6,2,5,3,4,7,1]=>101001=>5
[6,2,5,3,7,1,4]=>101010=>6
[6,2,5,3,7,4,1]=>101011=>3
[6,2,5,4,1,3,7]=>101100=>5
[6,2,5,4,1,7,3]=>101101=>4
[6,2,5,4,3,1,7]=>101110=>4
[6,2,5,4,3,7,1]=>101101=>4
[6,2,5,4,7,1,3]=>101010=>6
[6,2,5,4,7,3,1]=>101011=>3
[6,2,5,7,1,3,4]=>100100=>6
[6,2,5,7,1,4,3]=>100101=>4
[6,2,5,7,3,1,4]=>100110=>4
[6,2,5,7,3,4,1]=>100101=>4
[6,2,5,7,4,1,3]=>100110=>4
[6,2,5,7,4,3,1]=>100111=>3
[6,2,7,1,3,4,5]=>101000=>6
[6,2,7,1,3,5,4]=>101001=>5
[6,2,7,1,4,3,5]=>101010=>6
[6,2,7,1,4,5,3]=>101001=>5
[6,2,7,1,5,3,4]=>101010=>6
[6,2,7,1,5,4,3]=>101011=>3
[6,2,7,3,1,4,5]=>101100=>5
[6,2,7,3,1,5,4]=>101101=>4
[6,2,7,3,4,1,5]=>101010=>6
[6,2,7,3,4,5,1]=>101001=>5
[6,2,7,3,5,1,4]=>101010=>6
[6,2,7,3,5,4,1]=>101011=>3
[6,2,7,4,1,3,5]=>101100=>5
[6,2,7,4,1,5,3]=>101101=>4
[6,2,7,4,3,1,5]=>101110=>4
[6,2,7,4,3,5,1]=>101101=>4
[6,2,7,4,5,1,3]=>101010=>6
[6,2,7,4,5,3,1]=>101011=>3
[6,2,7,5,1,3,4]=>101100=>5
[6,2,7,5,1,4,3]=>101101=>4
[6,2,7,5,3,1,4]=>101110=>4
[6,2,7,5,3,4,1]=>101101=>4
[6,2,7,5,4,1,3]=>101110=>4
[6,2,7,5,4,3,1]=>101111=>2
[6,3,1,2,4,5,7]=>110000=>6
[6,3,1,2,4,7,5]=>110001=>5
[6,3,1,2,5,4,7]=>110010=>6
[6,3,1,2,5,7,4]=>110001=>5
[6,3,1,2,7,4,5]=>110010=>6
[6,3,1,2,7,5,4]=>110011=>4
[6,3,1,4,2,5,7]=>110100=>6
[6,3,1,4,2,7,5]=>110101=>5
[6,3,1,4,5,2,7]=>110010=>6
[6,3,1,4,5,7,2]=>110001=>5
[6,3,1,4,7,2,5]=>110010=>6
[6,3,1,4,7,5,2]=>110011=>4
[6,3,1,5,2,4,7]=>110100=>6
[6,3,1,5,2,7,4]=>110101=>5
[6,3,1,5,4,2,7]=>110110=>6
[6,3,1,5,4,7,2]=>110101=>5
[6,3,1,5,7,2,4]=>110010=>6
[6,3,1,5,7,4,2]=>110011=>4
[6,3,1,7,2,4,5]=>110100=>6
[6,3,1,7,2,5,4]=>110101=>5
[6,3,1,7,4,2,5]=>110110=>6
[6,3,1,7,4,5,2]=>110101=>5
[6,3,1,7,5,2,4]=>110110=>6
[6,3,1,7,5,4,2]=>110111=>3
[6,3,2,1,4,5,7]=>111000=>6
[6,3,2,1,4,7,5]=>111001=>5
[6,3,2,1,5,4,7]=>111010=>6
[6,3,2,1,5,7,4]=>111001=>5
[6,3,2,1,7,4,5]=>111010=>6
[6,3,2,1,7,5,4]=>111011=>4
[6,3,2,4,1,5,7]=>110100=>6
[6,3,2,4,1,7,5]=>110101=>5
[6,3,2,4,5,1,7]=>110010=>6
[6,3,2,4,5,7,1]=>110001=>5
[6,3,2,4,7,1,5]=>110010=>6
[6,3,2,4,7,5,1]=>110011=>4
[6,3,2,5,1,4,7]=>110100=>6
[6,3,2,5,1,7,4]=>110101=>5
[6,3,2,5,4,1,7]=>110110=>6
[6,3,2,5,4,7,1]=>110101=>5
[6,3,2,5,7,1,4]=>110010=>6
[6,3,2,5,7,4,1]=>110011=>4
[6,3,2,7,1,4,5]=>110100=>6
[6,3,2,7,1,5,4]=>110101=>5
[6,3,2,7,4,1,5]=>110110=>6
[6,3,2,7,4,5,1]=>110101=>5
[6,3,2,7,5,1,4]=>110110=>6
[6,3,2,7,5,4,1]=>110111=>3
[6,3,4,1,2,5,7]=>101000=>6
[6,3,4,1,2,7,5]=>101001=>5
[6,3,4,1,5,2,7]=>101010=>6
[6,3,4,1,5,7,2]=>101001=>5
[6,3,4,1,7,2,5]=>101010=>6
[6,3,4,1,7,5,2]=>101011=>3
[6,3,4,2,1,5,7]=>101100=>5
[6,3,4,2,1,7,5]=>101101=>4
[6,3,4,2,5,1,7]=>101010=>6
[6,3,4,2,5,7,1]=>101001=>5
[6,3,4,2,7,1,5]=>101010=>6
[6,3,4,2,7,5,1]=>101011=>3
[6,3,4,5,1,2,7]=>100100=>6
[6,3,4,5,1,7,2]=>100101=>4
[6,3,4,5,2,1,7]=>100110=>4
[6,3,4,5,2,7,1]=>100101=>4
[6,3,4,5,7,1,2]=>100010=>5
[6,3,4,5,7,2,1]=>100011=>4
[6,3,4,7,1,2,5]=>100100=>6
[6,3,4,7,1,5,2]=>100101=>4
[6,3,4,7,2,1,5]=>100110=>4
[6,3,4,7,2,5,1]=>100101=>4
[6,3,4,7,5,1,2]=>100110=>4
[6,3,4,7,5,2,1]=>100111=>3
[6,3,5,1,2,4,7]=>101000=>6
[6,3,5,1,2,7,4]=>101001=>5
[6,3,5,1,4,2,7]=>101010=>6
[6,3,5,1,4,7,2]=>101001=>5
[6,3,5,1,7,2,4]=>101010=>6
[6,3,5,1,7,4,2]=>101011=>3
[6,3,5,2,1,4,7]=>101100=>5
[6,3,5,2,1,7,4]=>101101=>4
[6,3,5,2,4,1,7]=>101010=>6
[6,3,5,2,4,7,1]=>101001=>5
[6,3,5,2,7,1,4]=>101010=>6
[6,3,5,2,7,4,1]=>101011=>3
[6,3,5,4,1,2,7]=>101100=>5
[6,3,5,4,1,7,2]=>101101=>4
[6,3,5,4,2,1,7]=>101110=>4
[6,3,5,4,2,7,1]=>101101=>4
[6,3,5,4,7,1,2]=>101010=>6
[6,3,5,4,7,2,1]=>101011=>3
[6,3,5,7,1,2,4]=>100100=>6
[6,3,5,7,1,4,2]=>100101=>4
[6,3,5,7,2,1,4]=>100110=>4
[6,3,5,7,2,4,1]=>100101=>4
[6,3,5,7,4,1,2]=>100110=>4
[6,3,5,7,4,2,1]=>100111=>3
[6,3,7,1,2,4,5]=>101000=>6
[6,3,7,1,2,5,4]=>101001=>5
[6,3,7,1,4,2,5]=>101010=>6
[6,3,7,1,4,5,2]=>101001=>5
[6,3,7,1,5,2,4]=>101010=>6
[6,3,7,1,5,4,2]=>101011=>3
[6,3,7,2,1,4,5]=>101100=>5
[6,3,7,2,1,5,4]=>101101=>4
[6,3,7,2,4,1,5]=>101010=>6
[6,3,7,2,4,5,1]=>101001=>5
[6,3,7,2,5,1,4]=>101010=>6
[6,3,7,2,5,4,1]=>101011=>3
[6,3,7,4,1,2,5]=>101100=>5
[6,3,7,4,1,5,2]=>101101=>4
[6,3,7,4,2,1,5]=>101110=>4
[6,3,7,4,2,5,1]=>101101=>4
[6,3,7,4,5,1,2]=>101010=>6
[6,3,7,4,5,2,1]=>101011=>3
[6,3,7,5,1,2,4]=>101100=>5
[6,3,7,5,1,4,2]=>101101=>4
[6,3,7,5,2,1,4]=>101110=>4
[6,3,7,5,2,4,1]=>101101=>4
[6,3,7,5,4,1,2]=>101110=>4
[6,3,7,5,4,2,1]=>101111=>2
[6,4,1,2,3,5,7]=>110000=>6
[6,4,1,2,3,7,5]=>110001=>5
[6,4,1,2,5,3,7]=>110010=>6
[6,4,1,2,5,7,3]=>110001=>5
[6,4,1,2,7,3,5]=>110010=>6
[6,4,1,2,7,5,3]=>110011=>4
[6,4,1,3,2,5,7]=>110100=>6
[6,4,1,3,2,7,5]=>110101=>5
[6,4,1,3,5,2,7]=>110010=>6
[6,4,1,3,5,7,2]=>110001=>5
[6,4,1,3,7,2,5]=>110010=>6
[6,4,1,3,7,5,2]=>110011=>4
[6,4,1,5,2,3,7]=>110100=>6
[6,4,1,5,2,7,3]=>110101=>5
[6,4,1,5,3,2,7]=>110110=>6
[6,4,1,5,3,7,2]=>110101=>5
[6,4,1,5,7,2,3]=>110010=>6
[6,4,1,5,7,3,2]=>110011=>4
[6,4,1,7,2,3,5]=>110100=>6
[6,4,1,7,2,5,3]=>110101=>5
[6,4,1,7,3,2,5]=>110110=>6
[6,4,1,7,3,5,2]=>110101=>5
[6,4,1,7,5,2,3]=>110110=>6
[6,4,1,7,5,3,2]=>110111=>3
[6,4,2,1,3,5,7]=>111000=>6
[6,4,2,1,3,7,5]=>111001=>5
[6,4,2,1,5,3,7]=>111010=>6
[6,4,2,1,5,7,3]=>111001=>5
[6,4,2,1,7,3,5]=>111010=>6
[6,4,2,1,7,5,3]=>111011=>4
[6,4,2,3,1,5,7]=>110100=>6
[6,4,2,3,1,7,5]=>110101=>5
[6,4,2,3,5,1,7]=>110010=>6
[6,4,2,3,5,7,1]=>110001=>5
[6,4,2,3,7,1,5]=>110010=>6
[6,4,2,3,7,5,1]=>110011=>4
[6,4,2,5,1,3,7]=>110100=>6
[6,4,2,5,1,7,3]=>110101=>5
[6,4,2,5,3,1,7]=>110110=>6
[6,4,2,5,3,7,1]=>110101=>5
[6,4,2,5,7,1,3]=>110010=>6
[6,4,2,5,7,3,1]=>110011=>4
[6,4,2,7,1,3,5]=>110100=>6
[6,4,2,7,1,5,3]=>110101=>5
[6,4,2,7,3,1,5]=>110110=>6
[6,4,2,7,3,5,1]=>110101=>5
[6,4,2,7,5,1,3]=>110110=>6
[6,4,2,7,5,3,1]=>110111=>3
[6,4,3,1,2,5,7]=>111000=>6
[6,4,3,1,2,7,5]=>111001=>5
[6,4,3,1,5,2,7]=>111010=>6
[6,4,3,1,5,7,2]=>111001=>5
[6,4,3,1,7,2,5]=>111010=>6
[6,4,3,1,7,5,2]=>111011=>4
[6,4,3,2,1,5,7]=>111100=>6
[6,4,3,2,1,7,5]=>111101=>5
[6,4,3,2,5,1,7]=>111010=>6
[6,4,3,2,5,7,1]=>111001=>5
[6,4,3,2,7,1,5]=>111010=>6
[6,4,3,2,7,5,1]=>111011=>4
[6,4,3,5,1,2,7]=>110100=>6
[6,4,3,5,1,7,2]=>110101=>5
[6,4,3,5,2,1,7]=>110110=>6
[6,4,3,5,2,7,1]=>110101=>5
[6,4,3,5,7,1,2]=>110010=>6
[6,4,3,5,7,2,1]=>110011=>4
[6,4,3,7,1,2,5]=>110100=>6
[6,4,3,7,1,5,2]=>110101=>5
[6,4,3,7,2,1,5]=>110110=>6
[6,4,3,7,2,5,1]=>110101=>5
[6,4,3,7,5,1,2]=>110110=>6
[6,4,3,7,5,2,1]=>110111=>3
[6,4,5,1,2,3,7]=>101000=>6
[6,4,5,1,2,7,3]=>101001=>5
[6,4,5,1,3,2,7]=>101010=>6
[6,4,5,1,3,7,2]=>101001=>5
[6,4,5,1,7,2,3]=>101010=>6
[6,4,5,1,7,3,2]=>101011=>3
[6,4,5,2,1,3,7]=>101100=>5
[6,4,5,2,1,7,3]=>101101=>4
[6,4,5,2,3,1,7]=>101010=>6
[6,4,5,2,3,7,1]=>101001=>5
[6,4,5,2,7,1,3]=>101010=>6
[6,4,5,2,7,3,1]=>101011=>3
[6,4,5,3,1,2,7]=>101100=>5
[6,4,5,3,1,7,2]=>101101=>4
[6,4,5,3,2,1,7]=>101110=>4
[6,4,5,3,2,7,1]=>101101=>4
[6,4,5,3,7,1,2]=>101010=>6
[6,4,5,3,7,2,1]=>101011=>3
[6,4,5,7,1,2,3]=>100100=>6
[6,4,5,7,1,3,2]=>100101=>4
[6,4,5,7,2,1,3]=>100110=>4
[6,4,5,7,2,3,1]=>100101=>4
[6,4,5,7,3,1,2]=>100110=>4
[6,4,5,7,3,2,1]=>100111=>3
[6,4,7,1,2,3,5]=>101000=>6
[6,4,7,1,2,5,3]=>101001=>5
[6,4,7,1,3,2,5]=>101010=>6
[6,4,7,1,3,5,2]=>101001=>5
[6,4,7,1,5,2,3]=>101010=>6
[6,4,7,1,5,3,2]=>101011=>3
[6,4,7,2,1,3,5]=>101100=>5
[6,4,7,2,1,5,3]=>101101=>4
[6,4,7,2,3,1,5]=>101010=>6
[6,4,7,2,3,5,1]=>101001=>5
[6,4,7,2,5,1,3]=>101010=>6
[6,4,7,2,5,3,1]=>101011=>3
[6,4,7,3,1,2,5]=>101100=>5
[6,4,7,3,1,5,2]=>101101=>4
[6,4,7,3,2,1,5]=>101110=>4
[6,4,7,3,2,5,1]=>101101=>4
[6,4,7,3,5,1,2]=>101010=>6
[6,4,7,3,5,2,1]=>101011=>3
[6,4,7,5,1,2,3]=>101100=>5
[6,4,7,5,1,3,2]=>101101=>4
[6,4,7,5,2,1,3]=>101110=>4
[6,4,7,5,2,3,1]=>101101=>4
[6,4,7,5,3,1,2]=>101110=>4
[6,4,7,5,3,2,1]=>101111=>2
[6,5,1,2,3,4,7]=>110000=>6
[6,5,1,2,3,7,4]=>110001=>5
[6,5,1,2,4,3,7]=>110010=>6
[6,5,1,2,4,7,3]=>110001=>5
[6,5,1,2,7,3,4]=>110010=>6
[6,5,1,2,7,4,3]=>110011=>4
[6,5,1,3,2,4,7]=>110100=>6
[6,5,1,3,2,7,4]=>110101=>5
[6,5,1,3,4,2,7]=>110010=>6
[6,5,1,3,4,7,2]=>110001=>5
[6,5,1,3,7,2,4]=>110010=>6
[6,5,1,3,7,4,2]=>110011=>4
[6,5,1,4,2,3,7]=>110100=>6
[6,5,1,4,2,7,3]=>110101=>5
[6,5,1,4,3,2,7]=>110110=>6
[6,5,1,4,3,7,2]=>110101=>5
[6,5,1,4,7,2,3]=>110010=>6
[6,5,1,4,7,3,2]=>110011=>4
[6,5,1,7,2,3,4]=>110100=>6
[6,5,1,7,2,4,3]=>110101=>5
[6,5,1,7,3,2,4]=>110110=>6
[6,5,1,7,3,4,2]=>110101=>5
[6,5,1,7,4,2,3]=>110110=>6
[6,5,1,7,4,3,2]=>110111=>3
[6,5,2,1,3,4,7]=>111000=>6
[6,5,2,1,3,7,4]=>111001=>5
[6,5,2,1,4,3,7]=>111010=>6
[6,5,2,1,4,7,3]=>111001=>5
[6,5,2,1,7,3,4]=>111010=>6
[6,5,2,1,7,4,3]=>111011=>4
[6,5,2,3,1,4,7]=>110100=>6
[6,5,2,3,1,7,4]=>110101=>5
[6,5,2,3,4,1,7]=>110010=>6
[6,5,2,3,4,7,1]=>110001=>5
[6,5,2,3,7,1,4]=>110010=>6
[6,5,2,3,7,4,1]=>110011=>4
[6,5,2,4,1,3,7]=>110100=>6
[6,5,2,4,1,7,3]=>110101=>5
[6,5,2,4,3,1,7]=>110110=>6
[6,5,2,4,3,7,1]=>110101=>5
[6,5,2,4,7,1,3]=>110010=>6
[6,5,2,4,7,3,1]=>110011=>4
[6,5,2,7,1,3,4]=>110100=>6
[6,5,2,7,1,4,3]=>110101=>5
[6,5,2,7,3,1,4]=>110110=>6
[6,5,2,7,3,4,1]=>110101=>5
[6,5,2,7,4,1,3]=>110110=>6
[6,5,2,7,4,3,1]=>110111=>3
[6,5,3,1,2,4,7]=>111000=>6
[6,5,3,1,2,7,4]=>111001=>5
[6,5,3,1,4,2,7]=>111010=>6
[6,5,3,1,4,7,2]=>111001=>5
[6,5,3,1,7,2,4]=>111010=>6
[6,5,3,1,7,4,2]=>111011=>4
[6,5,3,2,1,4,7]=>111100=>6
[6,5,3,2,1,7,4]=>111101=>5
[6,5,3,2,4,1,7]=>111010=>6
[6,5,3,2,4,7,1]=>111001=>5
[6,5,3,2,7,1,4]=>111010=>6
[6,5,3,2,7,4,1]=>111011=>4
[6,5,3,4,1,2,7]=>110100=>6
[6,5,3,4,1,7,2]=>110101=>5
[6,5,3,4,2,1,7]=>110110=>6
[6,5,3,4,2,7,1]=>110101=>5
[6,5,3,4,7,1,2]=>110010=>6
[6,5,3,4,7,2,1]=>110011=>4
[6,5,3,7,1,2,4]=>110100=>6
[6,5,3,7,1,4,2]=>110101=>5
[6,5,3,7,2,1,4]=>110110=>6
[6,5,3,7,2,4,1]=>110101=>5
[6,5,3,7,4,1,2]=>110110=>6
[6,5,3,7,4,2,1]=>110111=>3
[6,5,4,1,2,3,7]=>111000=>6
[6,5,4,1,2,7,3]=>111001=>5
[6,5,4,1,3,2,7]=>111010=>6
[6,5,4,1,3,7,2]=>111001=>5
[6,5,4,1,7,2,3]=>111010=>6
[6,5,4,1,7,3,2]=>111011=>4
[6,5,4,2,1,3,7]=>111100=>6
[6,5,4,2,1,7,3]=>111101=>5
[6,5,4,2,3,1,7]=>111010=>6
[6,5,4,2,3,7,1]=>111001=>5
[6,5,4,2,7,1,3]=>111010=>6
[6,5,4,2,7,3,1]=>111011=>4
[6,5,4,3,1,2,7]=>111100=>6
[6,5,4,3,1,7,2]=>111101=>5
[6,5,4,3,2,1,7]=>111110=>6
[6,5,4,3,2,7,1]=>111101=>5
[6,5,4,3,7,1,2]=>111010=>6
[6,5,4,3,7,2,1]=>111011=>4
[6,5,4,7,1,2,3]=>110100=>6
[6,5,4,7,1,3,2]=>110101=>5
[6,5,4,7,2,1,3]=>110110=>6
[6,5,4,7,2,3,1]=>110101=>5
[6,5,4,7,3,1,2]=>110110=>6
[6,5,4,7,3,2,1]=>110111=>3
[6,5,7,1,2,3,4]=>101000=>6
[6,5,7,1,2,4,3]=>101001=>5
[6,5,7,1,3,2,4]=>101010=>6
[6,5,7,1,3,4,2]=>101001=>5
[6,5,7,1,4,2,3]=>101010=>6
[6,5,7,1,4,3,2]=>101011=>3
[6,5,7,2,1,3,4]=>101100=>5
[6,5,7,2,1,4,3]=>101101=>4
[6,5,7,2,3,1,4]=>101010=>6
[6,5,7,2,3,4,1]=>101001=>5
[6,5,7,2,4,1,3]=>101010=>6
[6,5,7,2,4,3,1]=>101011=>3
[6,5,7,3,1,2,4]=>101100=>5
[6,5,7,3,1,4,2]=>101101=>4
[6,5,7,3,2,1,4]=>101110=>4
[6,5,7,3,2,4,1]=>101101=>4
[6,5,7,3,4,1,2]=>101010=>6
[6,5,7,3,4,2,1]=>101011=>3
[6,5,7,4,1,2,3]=>101100=>5
[6,5,7,4,1,3,2]=>101101=>4
[6,5,7,4,2,1,3]=>101110=>4
[6,5,7,4,2,3,1]=>101101=>4
[6,5,7,4,3,1,2]=>101110=>4
[6,5,7,4,3,2,1]=>101111=>2
[6,7,1,2,3,4,5]=>010000=>5
[6,7,1,2,3,5,4]=>010001=>3
[6,7,1,2,4,3,5]=>010010=>4
[6,7,1,2,4,5,3]=>010001=>3
[6,7,1,2,5,3,4]=>010010=>4
[6,7,1,2,5,4,3]=>010011=>2
[6,7,1,3,2,4,5]=>010100=>4
[6,7,1,3,2,5,4]=>010101=>3
[6,7,1,3,4,2,5]=>010010=>4
[6,7,1,3,4,5,2]=>010001=>3
[6,7,1,3,5,2,4]=>010010=>4
[6,7,1,3,5,4,2]=>010011=>2
[6,7,1,4,2,3,5]=>010100=>4
[6,7,1,4,2,5,3]=>010101=>3
[6,7,1,4,3,2,5]=>010110=>2
[6,7,1,4,3,5,2]=>010101=>3
[6,7,1,4,5,2,3]=>010010=>4
[6,7,1,4,5,3,2]=>010011=>2
[6,7,1,5,2,3,4]=>010100=>4
[6,7,1,5,2,4,3]=>010101=>3
[6,7,1,5,3,2,4]=>010110=>2
[6,7,1,5,3,4,2]=>010101=>3
[6,7,1,5,4,2,3]=>010110=>2
[6,7,1,5,4,3,2]=>010111=>1
[6,7,2,1,3,4,5]=>011000=>4
[6,7,2,1,3,5,4]=>011001=>3
[6,7,2,1,4,3,5]=>011010=>3
[6,7,2,1,4,5,3]=>011001=>3
[6,7,2,1,5,3,4]=>011010=>3
[6,7,2,1,5,4,3]=>011011=>2
[6,7,2,3,1,4,5]=>010100=>4
[6,7,2,3,1,5,4]=>010101=>3
[6,7,2,3,4,1,5]=>010010=>4
[6,7,2,3,4,5,1]=>010001=>3
[6,7,2,3,5,1,4]=>010010=>4
[6,7,2,3,5,4,1]=>010011=>2
[6,7,2,4,1,3,5]=>010100=>4
[6,7,2,4,1,5,3]=>010101=>3
[6,7,2,4,3,1,5]=>010110=>2
[6,7,2,4,3,5,1]=>010101=>3
[6,7,2,4,5,1,3]=>010010=>4
[6,7,2,4,5,3,1]=>010011=>2
[6,7,2,5,1,3,4]=>010100=>4
[6,7,2,5,1,4,3]=>010101=>3
[6,7,2,5,3,1,4]=>010110=>2
[6,7,2,5,3,4,1]=>010101=>3
[6,7,2,5,4,1,3]=>010110=>2
[6,7,2,5,4,3,1]=>010111=>1
[6,7,3,1,2,4,5]=>011000=>4
[6,7,3,1,2,5,4]=>011001=>3
[6,7,3,1,4,2,5]=>011010=>3
[6,7,3,1,4,5,2]=>011001=>3
[6,7,3,1,5,2,4]=>011010=>3
[6,7,3,1,5,4,2]=>011011=>2
[6,7,3,2,1,4,5]=>011100=>3
[6,7,3,2,1,5,4]=>011101=>2
[6,7,3,2,4,1,5]=>011010=>3
[6,7,3,2,4,5,1]=>011001=>3
[6,7,3,2,5,1,4]=>011010=>3
[6,7,3,2,5,4,1]=>011011=>2
[6,7,3,4,1,2,5]=>010100=>4
[6,7,3,4,1,5,2]=>010101=>3
[6,7,3,4,2,1,5]=>010110=>2
[6,7,3,4,2,5,1]=>010101=>3
[6,7,3,4,5,1,2]=>010010=>4
[6,7,3,4,5,2,1]=>010011=>2
[6,7,3,5,1,2,4]=>010100=>4
[6,7,3,5,1,4,2]=>010101=>3
[6,7,3,5,2,1,4]=>010110=>2
[6,7,3,5,2,4,1]=>010101=>3
[6,7,3,5,4,1,2]=>010110=>2
[6,7,3,5,4,2,1]=>010111=>1
[6,7,4,1,2,3,5]=>011000=>4
[6,7,4,1,2,5,3]=>011001=>3
[6,7,4,1,3,2,5]=>011010=>3
[6,7,4,1,3,5,2]=>011001=>3
[6,7,4,1,5,2,3]=>011010=>3
[6,7,4,1,5,3,2]=>011011=>2
[6,7,4,2,1,3,5]=>011100=>3
[6,7,4,2,1,5,3]=>011101=>2
[6,7,4,2,3,1,5]=>011010=>3
[6,7,4,2,3,5,1]=>011001=>3
[6,7,4,2,5,1,3]=>011010=>3
[6,7,4,2,5,3,1]=>011011=>2
[6,7,4,3,1,2,5]=>011100=>3
[6,7,4,3,1,5,2]=>011101=>2
[6,7,4,3,2,1,5]=>011110=>2
[6,7,4,3,2,5,1]=>011101=>2
[6,7,4,3,5,1,2]=>011010=>3
[6,7,4,3,5,2,1]=>011011=>2
[6,7,4,5,1,2,3]=>010100=>4
[6,7,4,5,1,3,2]=>010101=>3
[6,7,4,5,2,1,3]=>010110=>2
[6,7,4,5,2,3,1]=>010101=>3
[6,7,4,5,3,1,2]=>010110=>2
[6,7,4,5,3,2,1]=>010111=>1
[6,7,5,1,2,3,4]=>011000=>4
[6,7,5,1,2,4,3]=>011001=>3
[6,7,5,1,3,2,4]=>011010=>3
[6,7,5,1,3,4,2]=>011001=>3
[6,7,5,1,4,2,3]=>011010=>3
[6,7,5,1,4,3,2]=>011011=>2
[6,7,5,2,1,3,4]=>011100=>3
[6,7,5,2,1,4,3]=>011101=>2
[6,7,5,2,3,1,4]=>011010=>3
[6,7,5,2,3,4,1]=>011001=>3
[6,7,5,2,4,1,3]=>011010=>3
[6,7,5,2,4,3,1]=>011011=>2
[6,7,5,3,1,2,4]=>011100=>3
[6,7,5,3,1,4,2]=>011101=>2
[6,7,5,3,2,1,4]=>011110=>2
[6,7,5,3,2,4,1]=>011101=>2
[6,7,5,3,4,1,2]=>011010=>3
[6,7,5,3,4,2,1]=>011011=>2
[6,7,5,4,1,2,3]=>011100=>3
[6,7,5,4,1,3,2]=>011101=>2
[6,7,5,4,2,1,3]=>011110=>2
[6,7,5,4,2,3,1]=>011101=>2
[6,7,5,4,3,1,2]=>011110=>2
[6,7,5,4,3,2,1]=>011111=>1
[7,1,2,3,4,5,6]=>100000=>6
[7,1,2,3,4,6,5]=>100001=>5
[7,1,2,3,5,4,6]=>100010=>5
[7,1,2,3,5,6,4]=>100001=>5
[7,1,2,3,6,4,5]=>100010=>5
[7,1,2,3,6,5,4]=>100011=>4
[7,1,2,4,3,5,6]=>100100=>6
[7,1,2,4,3,6,5]=>100101=>4
[7,1,2,4,5,3,6]=>100010=>5
[7,1,2,4,5,6,3]=>100001=>5
[7,1,2,4,6,3,5]=>100010=>5
[7,1,2,4,6,5,3]=>100011=>4
[7,1,2,5,3,4,6]=>100100=>6
[7,1,2,5,3,6,4]=>100101=>4
[7,1,2,5,4,3,6]=>100110=>4
[7,1,2,5,4,6,3]=>100101=>4
[7,1,2,5,6,3,4]=>100010=>5
[7,1,2,5,6,4,3]=>100011=>4
[7,1,2,6,3,4,5]=>100100=>6
[7,1,2,6,3,5,4]=>100101=>4
[7,1,2,6,4,3,5]=>100110=>4
[7,1,2,6,4,5,3]=>100101=>4
[7,1,2,6,5,3,4]=>100110=>4
[7,1,2,6,5,4,3]=>100111=>3
[7,1,3,2,4,5,6]=>101000=>6
[7,1,3,2,4,6,5]=>101001=>5
[7,1,3,2,5,4,6]=>101010=>6
[7,1,3,2,5,6,4]=>101001=>5
[7,1,3,2,6,4,5]=>101010=>6
[7,1,3,2,6,5,4]=>101011=>3
[7,1,3,4,2,5,6]=>100100=>6
[7,1,3,4,2,6,5]=>100101=>4
[7,1,3,4,5,2,6]=>100010=>5
[7,1,3,4,5,6,2]=>100001=>5
[7,1,3,4,6,2,5]=>100010=>5
[7,1,3,4,6,5,2]=>100011=>4
[7,1,3,5,2,4,6]=>100100=>6
[7,1,3,5,2,6,4]=>100101=>4
[7,1,3,5,4,2,6]=>100110=>4
[7,1,3,5,4,6,2]=>100101=>4
[7,1,3,5,6,2,4]=>100010=>5
[7,1,3,5,6,4,2]=>100011=>4
[7,1,3,6,2,4,5]=>100100=>6
[7,1,3,6,2,5,4]=>100101=>4
[7,1,3,6,4,2,5]=>100110=>4
[7,1,3,6,4,5,2]=>100101=>4
[7,1,3,6,5,2,4]=>100110=>4
[7,1,3,6,5,4,2]=>100111=>3
[7,1,4,2,3,5,6]=>101000=>6
[7,1,4,2,3,6,5]=>101001=>5
[7,1,4,2,5,3,6]=>101010=>6
[7,1,4,2,5,6,3]=>101001=>5
[7,1,4,2,6,3,5]=>101010=>6
[7,1,4,2,6,5,3]=>101011=>3
[7,1,4,3,2,5,6]=>101100=>5
[7,1,4,3,2,6,5]=>101101=>4
[7,1,4,3,5,2,6]=>101010=>6
[7,1,4,3,5,6,2]=>101001=>5
[7,1,4,3,6,2,5]=>101010=>6
[7,1,4,3,6,5,2]=>101011=>3
[7,1,4,5,2,3,6]=>100100=>6
[7,1,4,5,2,6,3]=>100101=>4
[7,1,4,5,3,2,6]=>100110=>4
[7,1,4,5,3,6,2]=>100101=>4
[7,1,4,5,6,2,3]=>100010=>5
[7,1,4,5,6,3,2]=>100011=>4
[7,1,4,6,2,3,5]=>100100=>6
[7,1,4,6,2,5,3]=>100101=>4
[7,1,4,6,3,2,5]=>100110=>4
[7,1,4,6,3,5,2]=>100101=>4
[7,1,4,6,5,2,3]=>100110=>4
[7,1,4,6,5,3,2]=>100111=>3
[7,1,5,2,3,4,6]=>101000=>6
[7,1,5,2,3,6,4]=>101001=>5
[7,1,5,2,4,3,6]=>101010=>6
[7,1,5,2,4,6,3]=>101001=>5
[7,1,5,2,6,3,4]=>101010=>6
[7,1,5,2,6,4,3]=>101011=>3
[7,1,5,3,2,4,6]=>101100=>5
[7,1,5,3,2,6,4]=>101101=>4
[7,1,5,3,4,2,6]=>101010=>6
[7,1,5,3,4,6,2]=>101001=>5
[7,1,5,3,6,2,4]=>101010=>6
[7,1,5,3,6,4,2]=>101011=>3
[7,1,5,4,2,3,6]=>101100=>5
[7,1,5,4,2,6,3]=>101101=>4
[7,1,5,4,3,2,6]=>101110=>4
[7,1,5,4,3,6,2]=>101101=>4
[7,1,5,4,6,2,3]=>101010=>6
[7,1,5,4,6,3,2]=>101011=>3
[7,1,5,6,2,3,4]=>100100=>6
[7,1,5,6,2,4,3]=>100101=>4
[7,1,5,6,3,2,4]=>100110=>4
[7,1,5,6,3,4,2]=>100101=>4
[7,1,5,6,4,2,3]=>100110=>4
[7,1,5,6,4,3,2]=>100111=>3
[7,1,6,2,3,4,5]=>101000=>6
[7,1,6,2,3,5,4]=>101001=>5
[7,1,6,2,4,3,5]=>101010=>6
[7,1,6,2,4,5,3]=>101001=>5
[7,1,6,2,5,3,4]=>101010=>6
[7,1,6,2,5,4,3]=>101011=>3
[7,1,6,3,2,4,5]=>101100=>5
[7,1,6,3,2,5,4]=>101101=>4
[7,1,6,3,4,2,5]=>101010=>6
[7,1,6,3,4,5,2]=>101001=>5
[7,1,6,3,5,2,4]=>101010=>6
[7,1,6,3,5,4,2]=>101011=>3
[7,1,6,4,2,3,5]=>101100=>5
[7,1,6,4,2,5,3]=>101101=>4
[7,1,6,4,3,2,5]=>101110=>4
[7,1,6,4,3,5,2]=>101101=>4
[7,1,6,4,5,2,3]=>101010=>6
[7,1,6,4,5,3,2]=>101011=>3
[7,1,6,5,2,3,4]=>101100=>5
[7,1,6,5,2,4,3]=>101101=>4
[7,1,6,5,3,2,4]=>101110=>4
[7,1,6,5,3,4,2]=>101101=>4
[7,1,6,5,4,2,3]=>101110=>4
[7,1,6,5,4,3,2]=>101111=>2
[7,2,1,3,4,5,6]=>110000=>6
[7,2,1,3,4,6,5]=>110001=>5
[7,2,1,3,5,4,6]=>110010=>6
[7,2,1,3,5,6,4]=>110001=>5
[7,2,1,3,6,4,5]=>110010=>6
[7,2,1,3,6,5,4]=>110011=>4
[7,2,1,4,3,5,6]=>110100=>6
[7,2,1,4,3,6,5]=>110101=>5
[7,2,1,4,5,3,6]=>110010=>6
[7,2,1,4,5,6,3]=>110001=>5
[7,2,1,4,6,3,5]=>110010=>6
[7,2,1,4,6,5,3]=>110011=>4
[7,2,1,5,3,4,6]=>110100=>6
[7,2,1,5,3,6,4]=>110101=>5
[7,2,1,5,4,3,6]=>110110=>6
[7,2,1,5,4,6,3]=>110101=>5
[7,2,1,5,6,3,4]=>110010=>6
[7,2,1,5,6,4,3]=>110011=>4
[7,2,1,6,3,4,5]=>110100=>6
[7,2,1,6,3,5,4]=>110101=>5
[7,2,1,6,4,3,5]=>110110=>6
[7,2,1,6,4,5,3]=>110101=>5
[7,2,1,6,5,3,4]=>110110=>6
[7,2,1,6,5,4,3]=>110111=>3
[7,2,3,1,4,5,6]=>101000=>6
[7,2,3,1,4,6,5]=>101001=>5
[7,2,3,1,5,4,6]=>101010=>6
[7,2,3,1,5,6,4]=>101001=>5
[7,2,3,1,6,4,5]=>101010=>6
[7,2,3,1,6,5,4]=>101011=>3
[7,2,3,4,1,5,6]=>100100=>6
[7,2,3,4,1,6,5]=>100101=>4
[7,2,3,4,5,1,6]=>100010=>5
[7,2,3,4,5,6,1]=>100001=>5
[7,2,3,4,6,1,5]=>100010=>5
[7,2,3,4,6,5,1]=>100011=>4
[7,2,3,5,1,4,6]=>100100=>6
[7,2,3,5,1,6,4]=>100101=>4
[7,2,3,5,4,1,6]=>100110=>4
[7,2,3,5,4,6,1]=>100101=>4
[7,2,3,5,6,1,4]=>100010=>5
[7,2,3,5,6,4,1]=>100011=>4
[7,2,3,6,1,4,5]=>100100=>6
[7,2,3,6,1,5,4]=>100101=>4
[7,2,3,6,4,1,5]=>100110=>4
[7,2,3,6,4,5,1]=>100101=>4
[7,2,3,6,5,1,4]=>100110=>4
[7,2,3,6,5,4,1]=>100111=>3
[7,2,4,1,3,5,6]=>101000=>6
[7,2,4,1,3,6,5]=>101001=>5
[7,2,4,1,5,3,6]=>101010=>6
[7,2,4,1,5,6,3]=>101001=>5
[7,2,4,1,6,3,5]=>101010=>6
[7,2,4,1,6,5,3]=>101011=>3
[7,2,4,3,1,5,6]=>101100=>5
[7,2,4,3,1,6,5]=>101101=>4
[7,2,4,3,5,1,6]=>101010=>6
[7,2,4,3,5,6,1]=>101001=>5
[7,2,4,3,6,1,5]=>101010=>6
[7,2,4,3,6,5,1]=>101011=>3
[7,2,4,5,1,3,6]=>100100=>6
[7,2,4,5,1,6,3]=>100101=>4
[7,2,4,5,3,1,6]=>100110=>4
[7,2,4,5,3,6,1]=>100101=>4
[7,2,4,5,6,1,3]=>100010=>5
[7,2,4,5,6,3,1]=>100011=>4
[7,2,4,6,1,3,5]=>100100=>6
[7,2,4,6,1,5,3]=>100101=>4
[7,2,4,6,3,1,5]=>100110=>4
[7,2,4,6,3,5,1]=>100101=>4
[7,2,4,6,5,1,3]=>100110=>4
[7,2,4,6,5,3,1]=>100111=>3
[7,2,5,1,3,4,6]=>101000=>6
[7,2,5,1,3,6,4]=>101001=>5
[7,2,5,1,4,3,6]=>101010=>6
[7,2,5,1,4,6,3]=>101001=>5
[7,2,5,1,6,3,4]=>101010=>6
[7,2,5,1,6,4,3]=>101011=>3
[7,2,5,3,1,4,6]=>101100=>5
[7,2,5,3,1,6,4]=>101101=>4
[7,2,5,3,4,1,6]=>101010=>6
[7,2,5,3,4,6,1]=>101001=>5
[7,2,5,3,6,1,4]=>101010=>6
[7,2,5,3,6,4,1]=>101011=>3
[7,2,5,4,1,3,6]=>101100=>5
[7,2,5,4,1,6,3]=>101101=>4
[7,2,5,4,3,1,6]=>101110=>4
[7,2,5,4,3,6,1]=>101101=>4
[7,2,5,4,6,1,3]=>101010=>6
[7,2,5,4,6,3,1]=>101011=>3
[7,2,5,6,1,3,4]=>100100=>6
[7,2,5,6,1,4,3]=>100101=>4
[7,2,5,6,3,1,4]=>100110=>4
[7,2,5,6,3,4,1]=>100101=>4
[7,2,5,6,4,1,3]=>100110=>4
[7,2,5,6,4,3,1]=>100111=>3
[7,2,6,1,3,4,5]=>101000=>6
[7,2,6,1,3,5,4]=>101001=>5
[7,2,6,1,4,3,5]=>101010=>6
[7,2,6,1,4,5,3]=>101001=>5
[7,2,6,1,5,3,4]=>101010=>6
[7,2,6,1,5,4,3]=>101011=>3
[7,2,6,3,1,4,5]=>101100=>5
[7,2,6,3,1,5,4]=>101101=>4
[7,2,6,3,4,1,5]=>101010=>6
[7,2,6,3,4,5,1]=>101001=>5
[7,2,6,3,5,1,4]=>101010=>6
[7,2,6,3,5,4,1]=>101011=>3
[7,2,6,4,1,3,5]=>101100=>5
[7,2,6,4,1,5,3]=>101101=>4
[7,2,6,4,3,1,5]=>101110=>4
[7,2,6,4,3,5,1]=>101101=>4
[7,2,6,4,5,1,3]=>101010=>6
[7,2,6,4,5,3,1]=>101011=>3
[7,2,6,5,1,3,4]=>101100=>5
[7,2,6,5,1,4,3]=>101101=>4
[7,2,6,5,3,1,4]=>101110=>4
[7,2,6,5,3,4,1]=>101101=>4
[7,2,6,5,4,1,3]=>101110=>4
[7,2,6,5,4,3,1]=>101111=>2
[7,3,1,2,4,5,6]=>110000=>6
[7,3,1,2,4,6,5]=>110001=>5
[7,3,1,2,5,4,6]=>110010=>6
[7,3,1,2,5,6,4]=>110001=>5
[7,3,1,2,6,4,5]=>110010=>6
[7,3,1,2,6,5,4]=>110011=>4
[7,3,1,4,2,5,6]=>110100=>6
[7,3,1,4,2,6,5]=>110101=>5
[7,3,1,4,5,2,6]=>110010=>6
[7,3,1,4,5,6,2]=>110001=>5
[7,3,1,4,6,2,5]=>110010=>6
[7,3,1,4,6,5,2]=>110011=>4
[7,3,1,5,2,4,6]=>110100=>6
[7,3,1,5,2,6,4]=>110101=>5
[7,3,1,5,4,2,6]=>110110=>6
[7,3,1,5,4,6,2]=>110101=>5
[7,3,1,5,6,2,4]=>110010=>6
[7,3,1,5,6,4,2]=>110011=>4
[7,3,1,6,2,4,5]=>110100=>6
[7,3,1,6,2,5,4]=>110101=>5
[7,3,1,6,4,2,5]=>110110=>6
[7,3,1,6,4,5,2]=>110101=>5
[7,3,1,6,5,2,4]=>110110=>6
[7,3,1,6,5,4,2]=>110111=>3
[7,3,2,1,4,5,6]=>111000=>6
[7,3,2,1,4,6,5]=>111001=>5
[7,3,2,1,5,4,6]=>111010=>6
[7,3,2,1,5,6,4]=>111001=>5
[7,3,2,1,6,4,5]=>111010=>6
[7,3,2,1,6,5,4]=>111011=>4
[7,3,2,4,1,5,6]=>110100=>6
[7,3,2,4,1,6,5]=>110101=>5
[7,3,2,4,5,1,6]=>110010=>6
[7,3,2,4,5,6,1]=>110001=>5
[7,3,2,4,6,1,5]=>110010=>6
[7,3,2,4,6,5,1]=>110011=>4
[7,3,2,5,1,4,6]=>110100=>6
[7,3,2,5,1,6,4]=>110101=>5
[7,3,2,5,4,1,6]=>110110=>6
[7,3,2,5,4,6,1]=>110101=>5
[7,3,2,5,6,1,4]=>110010=>6
[7,3,2,5,6,4,1]=>110011=>4
[7,3,2,6,1,4,5]=>110100=>6
[7,3,2,6,1,5,4]=>110101=>5
[7,3,2,6,4,1,5]=>110110=>6
[7,3,2,6,4,5,1]=>110101=>5
[7,3,2,6,5,1,4]=>110110=>6
[7,3,2,6,5,4,1]=>110111=>3
[7,3,4,1,2,5,6]=>101000=>6
[7,3,4,1,2,6,5]=>101001=>5
[7,3,4,1,5,2,6]=>101010=>6
[7,3,4,1,5,6,2]=>101001=>5
[7,3,4,1,6,2,5]=>101010=>6
[7,3,4,1,6,5,2]=>101011=>3
[7,3,4,2,1,5,6]=>101100=>5
[7,3,4,2,1,6,5]=>101101=>4
[7,3,4,2,5,1,6]=>101010=>6
[7,3,4,2,5,6,1]=>101001=>5
[7,3,4,2,6,1,5]=>101010=>6
[7,3,4,2,6,5,1]=>101011=>3
[7,3,4,5,1,2,6]=>100100=>6
[7,3,4,5,1,6,2]=>100101=>4
[7,3,4,5,2,1,6]=>100110=>4
[7,3,4,5,2,6,1]=>100101=>4
[7,3,4,5,6,1,2]=>100010=>5
[7,3,4,5,6,2,1]=>100011=>4
[7,3,4,6,1,2,5]=>100100=>6
[7,3,4,6,1,5,2]=>100101=>4
[7,3,4,6,2,1,5]=>100110=>4
[7,3,4,6,2,5,1]=>100101=>4
[7,3,4,6,5,1,2]=>100110=>4
[7,3,4,6,5,2,1]=>100111=>3
[7,3,5,1,2,4,6]=>101000=>6
[7,3,5,1,2,6,4]=>101001=>5
[7,3,5,1,4,2,6]=>101010=>6
[7,3,5,1,4,6,2]=>101001=>5
[7,3,5,1,6,2,4]=>101010=>6
[7,3,5,1,6,4,2]=>101011=>3
[7,3,5,2,1,4,6]=>101100=>5
[7,3,5,2,1,6,4]=>101101=>4
[7,3,5,2,4,1,6]=>101010=>6
[7,3,5,2,4,6,1]=>101001=>5
[7,3,5,2,6,1,4]=>101010=>6
[7,3,5,2,6,4,1]=>101011=>3
[7,3,5,4,1,2,6]=>101100=>5
[7,3,5,4,1,6,2]=>101101=>4
[7,3,5,4,2,1,6]=>101110=>4
[7,3,5,4,2,6,1]=>101101=>4
[7,3,5,4,6,1,2]=>101010=>6
[7,3,5,4,6,2,1]=>101011=>3
[7,3,5,6,1,2,4]=>100100=>6
[7,3,5,6,1,4,2]=>100101=>4
[7,3,5,6,2,1,4]=>100110=>4
[7,3,5,6,2,4,1]=>100101=>4
[7,3,5,6,4,1,2]=>100110=>4
[7,3,5,6,4,2,1]=>100111=>3
[7,3,6,1,2,4,5]=>101000=>6
[7,3,6,1,2,5,4]=>101001=>5
[7,3,6,1,4,2,5]=>101010=>6
[7,3,6,1,4,5,2]=>101001=>5
[7,3,6,1,5,2,4]=>101010=>6
[7,3,6,1,5,4,2]=>101011=>3
[7,3,6,2,1,4,5]=>101100=>5
[7,3,6,2,1,5,4]=>101101=>4
[7,3,6,2,4,1,5]=>101010=>6
[7,3,6,2,4,5,1]=>101001=>5
[7,3,6,2,5,1,4]=>101010=>6
[7,3,6,2,5,4,1]=>101011=>3
[7,3,6,4,1,2,5]=>101100=>5
[7,3,6,4,1,5,2]=>101101=>4
[7,3,6,4,2,1,5]=>101110=>4
[7,3,6,4,2,5,1]=>101101=>4
[7,3,6,4,5,1,2]=>101010=>6
[7,3,6,4,5,2,1]=>101011=>3
[7,3,6,5,1,2,4]=>101100=>5
[7,3,6,5,1,4,2]=>101101=>4
[7,3,6,5,2,1,4]=>101110=>4
[7,3,6,5,2,4,1]=>101101=>4
[7,3,6,5,4,1,2]=>101110=>4
[7,3,6,5,4,2,1]=>101111=>2
[7,4,1,2,3,5,6]=>110000=>6
[7,4,1,2,3,6,5]=>110001=>5
[7,4,1,2,5,3,6]=>110010=>6
[7,4,1,2,5,6,3]=>110001=>5
[7,4,1,2,6,3,5]=>110010=>6
[7,4,1,2,6,5,3]=>110011=>4
[7,4,1,3,2,5,6]=>110100=>6
[7,4,1,3,2,6,5]=>110101=>5
[7,4,1,3,5,2,6]=>110010=>6
[7,4,1,3,5,6,2]=>110001=>5
[7,4,1,3,6,2,5]=>110010=>6
[7,4,1,3,6,5,2]=>110011=>4
[7,4,1,5,2,3,6]=>110100=>6
[7,4,1,5,2,6,3]=>110101=>5
[7,4,1,5,3,2,6]=>110110=>6
[7,4,1,5,3,6,2]=>110101=>5
[7,4,1,5,6,2,3]=>110010=>6
[7,4,1,5,6,3,2]=>110011=>4
[7,4,1,6,2,3,5]=>110100=>6
[7,4,1,6,2,5,3]=>110101=>5
[7,4,1,6,3,2,5]=>110110=>6
[7,4,1,6,3,5,2]=>110101=>5
[7,4,1,6,5,2,3]=>110110=>6
[7,4,1,6,5,3,2]=>110111=>3
[7,4,2,1,3,5,6]=>111000=>6
[7,4,2,1,3,6,5]=>111001=>5
[7,4,2,1,5,3,6]=>111010=>6
[7,4,2,1,5,6,3]=>111001=>5
[7,4,2,1,6,3,5]=>111010=>6
[7,4,2,1,6,5,3]=>111011=>4
[7,4,2,3,1,5,6]=>110100=>6
[7,4,2,3,1,6,5]=>110101=>5
[7,4,2,3,5,1,6]=>110010=>6
[7,4,2,3,5,6,1]=>110001=>5
[7,4,2,3,6,1,5]=>110010=>6
[7,4,2,3,6,5,1]=>110011=>4
[7,4,2,5,1,3,6]=>110100=>6
[7,4,2,5,1,6,3]=>110101=>5
[7,4,2,5,3,1,6]=>110110=>6
[7,4,2,5,3,6,1]=>110101=>5
[7,4,2,5,6,1,3]=>110010=>6
[7,4,2,5,6,3,1]=>110011=>4
[7,4,2,6,1,3,5]=>110100=>6
[7,4,2,6,1,5,3]=>110101=>5
[7,4,2,6,3,1,5]=>110110=>6
[7,4,2,6,3,5,1]=>110101=>5
[7,4,2,6,5,1,3]=>110110=>6
[7,4,2,6,5,3,1]=>110111=>3
[7,4,3,1,2,5,6]=>111000=>6
[7,4,3,1,2,6,5]=>111001=>5
[7,4,3,1,5,2,6]=>111010=>6
[7,4,3,1,5,6,2]=>111001=>5
[7,4,3,1,6,2,5]=>111010=>6
[7,4,3,1,6,5,2]=>111011=>4
[7,4,3,2,1,5,6]=>111100=>6
[7,4,3,2,1,6,5]=>111101=>5
[7,4,3,2,5,1,6]=>111010=>6
[7,4,3,2,5,6,1]=>111001=>5
[7,4,3,2,6,1,5]=>111010=>6
[7,4,3,2,6,5,1]=>111011=>4
[7,4,3,5,1,2,6]=>110100=>6
[7,4,3,5,1,6,2]=>110101=>5
[7,4,3,5,2,1,6]=>110110=>6
[7,4,3,5,2,6,1]=>110101=>5
[7,4,3,5,6,1,2]=>110010=>6
[7,4,3,5,6,2,1]=>110011=>4
[7,4,3,6,1,2,5]=>110100=>6
[7,4,3,6,1,5,2]=>110101=>5
[7,4,3,6,2,1,5]=>110110=>6
[7,4,3,6,2,5,1]=>110101=>5
[7,4,3,6,5,1,2]=>110110=>6
[7,4,3,6,5,2,1]=>110111=>3
[7,4,5,1,2,3,6]=>101000=>6
[7,4,5,1,2,6,3]=>101001=>5
[7,4,5,1,3,2,6]=>101010=>6
[7,4,5,1,3,6,2]=>101001=>5
[7,4,5,1,6,2,3]=>101010=>6
[7,4,5,1,6,3,2]=>101011=>3
[7,4,5,2,1,3,6]=>101100=>5
[7,4,5,2,1,6,3]=>101101=>4
[7,4,5,2,3,1,6]=>101010=>6
[7,4,5,2,3,6,1]=>101001=>5
[7,4,5,2,6,1,3]=>101010=>6
[7,4,5,2,6,3,1]=>101011=>3
[7,4,5,3,1,2,6]=>101100=>5
[7,4,5,3,1,6,2]=>101101=>4
[7,4,5,3,2,1,6]=>101110=>4
[7,4,5,3,2,6,1]=>101101=>4
[7,4,5,3,6,1,2]=>101010=>6
[7,4,5,3,6,2,1]=>101011=>3
[7,4,5,6,1,2,3]=>100100=>6
[7,4,5,6,1,3,2]=>100101=>4
[7,4,5,6,2,1,3]=>100110=>4
[7,4,5,6,2,3,1]=>100101=>4
[7,4,5,6,3,1,2]=>100110=>4
[7,4,5,6,3,2,1]=>100111=>3
[7,4,6,1,2,3,5]=>101000=>6
[7,4,6,1,2,5,3]=>101001=>5
[7,4,6,1,3,2,5]=>101010=>6
[7,4,6,1,3,5,2]=>101001=>5
[7,4,6,1,5,2,3]=>101010=>6
[7,4,6,1,5,3,2]=>101011=>3
[7,4,6,2,1,3,5]=>101100=>5
[7,4,6,2,1,5,3]=>101101=>4
[7,4,6,2,3,1,5]=>101010=>6
[7,4,6,2,3,5,1]=>101001=>5
[7,4,6,2,5,1,3]=>101010=>6
[7,4,6,2,5,3,1]=>101011=>3
[7,4,6,3,1,2,5]=>101100=>5
[7,4,6,3,1,5,2]=>101101=>4
[7,4,6,3,2,1,5]=>101110=>4
[7,4,6,3,2,5,1]=>101101=>4
[7,4,6,3,5,1,2]=>101010=>6
[7,4,6,3,5,2,1]=>101011=>3
[7,4,6,5,1,2,3]=>101100=>5
[7,4,6,5,1,3,2]=>101101=>4
[7,4,6,5,2,1,3]=>101110=>4
[7,4,6,5,2,3,1]=>101101=>4
[7,4,6,5,3,1,2]=>101110=>4
[7,4,6,5,3,2,1]=>101111=>2
[7,5,1,2,3,4,6]=>110000=>6
[7,5,1,2,3,6,4]=>110001=>5
[7,5,1,2,4,3,6]=>110010=>6
[7,5,1,2,4,6,3]=>110001=>5
[7,5,1,2,6,3,4]=>110010=>6
[7,5,1,2,6,4,3]=>110011=>4
[7,5,1,3,2,4,6]=>110100=>6
[7,5,1,3,2,6,4]=>110101=>5
[7,5,1,3,4,2,6]=>110010=>6
[7,5,1,3,4,6,2]=>110001=>5
[7,5,1,3,6,2,4]=>110010=>6
[7,5,1,3,6,4,2]=>110011=>4
[7,5,1,4,2,3,6]=>110100=>6
[7,5,1,4,2,6,3]=>110101=>5
[7,5,1,4,3,2,6]=>110110=>6
[7,5,1,4,3,6,2]=>110101=>5
[7,5,1,4,6,2,3]=>110010=>6
[7,5,1,4,6,3,2]=>110011=>4
[7,5,1,6,2,3,4]=>110100=>6
[7,5,1,6,2,4,3]=>110101=>5
[7,5,1,6,3,2,4]=>110110=>6
[7,5,1,6,3,4,2]=>110101=>5
[7,5,1,6,4,2,3]=>110110=>6
[7,5,1,6,4,3,2]=>110111=>3
[7,5,2,1,3,4,6]=>111000=>6
[7,5,2,1,3,6,4]=>111001=>5
[7,5,2,1,4,3,6]=>111010=>6
[7,5,2,1,4,6,3]=>111001=>5
[7,5,2,1,6,3,4]=>111010=>6
[7,5,2,1,6,4,3]=>111011=>4
[7,5,2,3,1,4,6]=>110100=>6
[7,5,2,3,1,6,4]=>110101=>5
[7,5,2,3,4,1,6]=>110010=>6
[7,5,2,3,4,6,1]=>110001=>5
[7,5,2,3,6,1,4]=>110010=>6
[7,5,2,3,6,4,1]=>110011=>4
[7,5,2,4,1,3,6]=>110100=>6
[7,5,2,4,1,6,3]=>110101=>5
[7,5,2,4,3,1,6]=>110110=>6
[7,5,2,4,3,6,1]=>110101=>5
[7,5,2,4,6,1,3]=>110010=>6
[7,5,2,4,6,3,1]=>110011=>4
[7,5,2,6,1,3,4]=>110100=>6
[7,5,2,6,1,4,3]=>110101=>5
[7,5,2,6,3,1,4]=>110110=>6
[7,5,2,6,3,4,1]=>110101=>5
[7,5,2,6,4,1,3]=>110110=>6
[7,5,2,6,4,3,1]=>110111=>3
[7,5,3,1,2,4,6]=>111000=>6
[7,5,3,1,2,6,4]=>111001=>5
[7,5,3,1,4,2,6]=>111010=>6
[7,5,3,1,4,6,2]=>111001=>5
[7,5,3,1,6,2,4]=>111010=>6
[7,5,3,1,6,4,2]=>111011=>4
[7,5,3,2,1,4,6]=>111100=>6
[7,5,3,2,1,6,4]=>111101=>5
[7,5,3,2,4,1,6]=>111010=>6
[7,5,3,2,4,6,1]=>111001=>5
[7,5,3,2,6,1,4]=>111010=>6
[7,5,3,2,6,4,1]=>111011=>4
[7,5,3,4,1,2,6]=>110100=>6
[7,5,3,4,1,6,2]=>110101=>5
[7,5,3,4,2,1,6]=>110110=>6
[7,5,3,4,2,6,1]=>110101=>5
[7,5,3,4,6,1,2]=>110010=>6
[7,5,3,4,6,2,1]=>110011=>4
[7,5,3,6,1,2,4]=>110100=>6
[7,5,3,6,1,4,2]=>110101=>5
[7,5,3,6,2,1,4]=>110110=>6
[7,5,3,6,2,4,1]=>110101=>5
[7,5,3,6,4,1,2]=>110110=>6
[7,5,3,6,4,2,1]=>110111=>3
[7,5,4,1,2,3,6]=>111000=>6
[7,5,4,1,2,6,3]=>111001=>5
[7,5,4,1,3,2,6]=>111010=>6
[7,5,4,1,3,6,2]=>111001=>5
[7,5,4,1,6,2,3]=>111010=>6
[7,5,4,1,6,3,2]=>111011=>4
[7,5,4,2,1,3,6]=>111100=>6
[7,5,4,2,1,6,3]=>111101=>5
[7,5,4,2,3,1,6]=>111010=>6
[7,5,4,2,3,6,1]=>111001=>5
[7,5,4,2,6,1,3]=>111010=>6
[7,5,4,2,6,3,1]=>111011=>4
[7,5,4,3,1,2,6]=>111100=>6
[7,5,4,3,1,6,2]=>111101=>5
[7,5,4,3,2,1,6]=>111110=>6
[7,5,4,3,2,6,1]=>111101=>5
[7,5,4,3,6,1,2]=>111010=>6
[7,5,4,3,6,2,1]=>111011=>4
[7,5,4,6,1,2,3]=>110100=>6
[7,5,4,6,1,3,2]=>110101=>5
[7,5,4,6,2,1,3]=>110110=>6
[7,5,4,6,2,3,1]=>110101=>5
[7,5,4,6,3,1,2]=>110110=>6
[7,5,4,6,3,2,1]=>110111=>3
[7,5,6,1,2,3,4]=>101000=>6
[7,5,6,1,2,4,3]=>101001=>5
[7,5,6,1,3,2,4]=>101010=>6
[7,5,6,1,3,4,2]=>101001=>5
[7,5,6,1,4,2,3]=>101010=>6
[7,5,6,1,4,3,2]=>101011=>3
[7,5,6,2,1,3,4]=>101100=>5
[7,5,6,2,1,4,3]=>101101=>4
[7,5,6,2,3,1,4]=>101010=>6
[7,5,6,2,3,4,1]=>101001=>5
[7,5,6,2,4,1,3]=>101010=>6
[7,5,6,2,4,3,1]=>101011=>3
[7,5,6,3,1,2,4]=>101100=>5
[7,5,6,3,1,4,2]=>101101=>4
[7,5,6,3,2,1,4]=>101110=>4
[7,5,6,3,2,4,1]=>101101=>4
[7,5,6,3,4,1,2]=>101010=>6
[7,5,6,3,4,2,1]=>101011=>3
[7,5,6,4,1,2,3]=>101100=>5
[7,5,6,4,1,3,2]=>101101=>4
[7,5,6,4,2,1,3]=>101110=>4
[7,5,6,4,2,3,1]=>101101=>4
[7,5,6,4,3,1,2]=>101110=>4
[7,5,6,4,3,2,1]=>101111=>2
[7,6,1,2,3,4,5]=>110000=>6
[7,6,1,2,3,5,4]=>110001=>5
[7,6,1,2,4,3,5]=>110010=>6
[7,6,1,2,4,5,3]=>110001=>5
[7,6,1,2,5,3,4]=>110010=>6
[7,6,1,2,5,4,3]=>110011=>4
[7,6,1,3,2,4,5]=>110100=>6
[7,6,1,3,2,5,4]=>110101=>5
[7,6,1,3,4,2,5]=>110010=>6
[7,6,1,3,4,5,2]=>110001=>5
[7,6,1,3,5,2,4]=>110010=>6
[7,6,1,3,5,4,2]=>110011=>4
[7,6,1,4,2,3,5]=>110100=>6
[7,6,1,4,2,5,3]=>110101=>5
[7,6,1,4,3,2,5]=>110110=>6
[7,6,1,4,3,5,2]=>110101=>5
[7,6,1,4,5,2,3]=>110010=>6
[7,6,1,4,5,3,2]=>110011=>4
[7,6,1,5,2,3,4]=>110100=>6
[7,6,1,5,2,4,3]=>110101=>5
[7,6,1,5,3,2,4]=>110110=>6
[7,6,1,5,3,4,2]=>110101=>5
[7,6,1,5,4,2,3]=>110110=>6
[7,6,1,5,4,3,2]=>110111=>3
[7,6,2,1,3,4,5]=>111000=>6
[7,6,2,1,3,5,4]=>111001=>5
[7,6,2,1,4,3,5]=>111010=>6
[7,6,2,1,4,5,3]=>111001=>5
[7,6,2,1,5,3,4]=>111010=>6
[7,6,2,1,5,4,3]=>111011=>4
[7,6,2,3,1,4,5]=>110100=>6
[7,6,2,3,1,5,4]=>110101=>5
[7,6,2,3,4,1,5]=>110010=>6
[7,6,2,3,4,5,1]=>110001=>5
[7,6,2,3,5,1,4]=>110010=>6
[7,6,2,3,5,4,1]=>110011=>4
[7,6,2,4,1,3,5]=>110100=>6
[7,6,2,4,1,5,3]=>110101=>5
[7,6,2,4,3,1,5]=>110110=>6
[7,6,2,4,3,5,1]=>110101=>5
[7,6,2,4,5,1,3]=>110010=>6
[7,6,2,4,5,3,1]=>110011=>4
[7,6,2,5,1,3,4]=>110100=>6
[7,6,2,5,1,4,3]=>110101=>5
[7,6,2,5,3,1,4]=>110110=>6
[7,6,2,5,3,4,1]=>110101=>5
[7,6,2,5,4,1,3]=>110110=>6
[7,6,2,5,4,3,1]=>110111=>3
[7,6,3,1,2,4,5]=>111000=>6
[7,6,3,1,2,5,4]=>111001=>5
[7,6,3,1,4,2,5]=>111010=>6
[7,6,3,1,4,5,2]=>111001=>5
[7,6,3,1,5,2,4]=>111010=>6
[7,6,3,1,5,4,2]=>111011=>4
[7,6,3,2,1,4,5]=>111100=>6
[7,6,3,2,1,5,4]=>111101=>5
[7,6,3,2,4,1,5]=>111010=>6
[7,6,3,2,4,5,1]=>111001=>5
[7,6,3,2,5,1,4]=>111010=>6
[7,6,3,2,5,4,1]=>111011=>4
[7,6,3,4,1,2,5]=>110100=>6
[7,6,3,4,1,5,2]=>110101=>5
[7,6,3,4,2,1,5]=>110110=>6
[7,6,3,4,2,5,1]=>110101=>5
[7,6,3,4,5,1,2]=>110010=>6
[7,6,3,4,5,2,1]=>110011=>4
[7,6,3,5,1,2,4]=>110100=>6
[7,6,3,5,1,4,2]=>110101=>5
[7,6,3,5,2,1,4]=>110110=>6
[7,6,3,5,2,4,1]=>110101=>5
[7,6,3,5,4,1,2]=>110110=>6
[7,6,3,5,4,2,1]=>110111=>3
[7,6,4,1,2,3,5]=>111000=>6
[7,6,4,1,2,5,3]=>111001=>5
[7,6,4,1,3,2,5]=>111010=>6
[7,6,4,1,3,5,2]=>111001=>5
[7,6,4,1,5,2,3]=>111010=>6
[7,6,4,1,5,3,2]=>111011=>4
[7,6,4,2,1,3,5]=>111100=>6
[7,6,4,2,1,5,3]=>111101=>5
[7,6,4,2,3,1,5]=>111010=>6
[7,6,4,2,3,5,1]=>111001=>5
[7,6,4,2,5,1,3]=>111010=>6
[7,6,4,2,5,3,1]=>111011=>4
[7,6,4,3,1,2,5]=>111100=>6
[7,6,4,3,1,5,2]=>111101=>5
[7,6,4,3,2,1,5]=>111110=>6
[7,6,4,3,2,5,1]=>111101=>5
[7,6,4,3,5,1,2]=>111010=>6
[7,6,4,3,5,2,1]=>111011=>4
[7,6,4,5,1,2,3]=>110100=>6
[7,6,4,5,1,3,2]=>110101=>5
[7,6,4,5,2,1,3]=>110110=>6
[7,6,4,5,2,3,1]=>110101=>5
[7,6,4,5,3,1,2]=>110110=>6
[7,6,4,5,3,2,1]=>110111=>3
[7,6,5,1,2,3,4]=>111000=>6
[7,6,5,1,2,4,3]=>111001=>5
[7,6,5,1,3,2,4]=>111010=>6
[7,6,5,1,3,4,2]=>111001=>5
[7,6,5,1,4,2,3]=>111010=>6
[7,6,5,1,4,3,2]=>111011=>4
[7,6,5,2,1,3,4]=>111100=>6
[7,6,5,2,1,4,3]=>111101=>5
[7,6,5,2,3,1,4]=>111010=>6
[7,6,5,2,3,4,1]=>111001=>5
[7,6,5,2,4,1,3]=>111010=>6
[7,6,5,2,4,3,1]=>111011=>4
[7,6,5,3,1,2,4]=>111100=>6
[7,6,5,3,1,4,2]=>111101=>5
[7,6,5,3,2,1,4]=>111110=>6
[7,6,5,3,2,4,1]=>111101=>5
[7,6,5,3,4,1,2]=>111010=>6
[7,6,5,3,4,2,1]=>111011=>4
[7,6,5,4,1,2,3]=>111100=>6
[7,6,5,4,1,3,2]=>111101=>5
[7,6,5,4,2,1,3]=>111110=>6
[7,6,5,4,2,3,1]=>111101=>5
[7,6,5,4,3,1,2]=>111110=>6
[7,6,5,4,3,2,1]=>111111=>6
[8,7,6,5,4,3,2,1]=>1111111=>7
[7,8,6,5,4,3,2,1]=>0111111=>1
[8,6,7,5,4,3,2,1]=>1011111=>2
[7,6,8,5,4,3,2,1]=>1011111=>2
[6,7,8,5,4,3,2,1]=>0011111=>1
[8,7,5,6,4,3,2,1]=>1101111=>3
[7,8,5,6,4,3,2,1]=>0101111=>1
[8,6,5,7,4,3,2,1]=>1101111=>3
[8,5,6,7,4,3,2,1]=>1001111=>3
[7,6,5,8,4,3,2,1]=>1101111=>3
[6,7,5,8,4,3,2,1]=>0101111=>1
[7,5,6,8,4,3,2,1]=>1001111=>3
[6,5,7,8,4,3,2,1]=>1001111=>3
[5,6,7,8,4,3,2,1]=>0001111=>1
[8,7,6,4,5,3,2,1]=>1110111=>4
[7,8,6,4,5,3,2,1]=>0110111=>1
[8,6,7,4,5,3,2,1]=>1010111=>3
[7,6,8,4,5,3,2,1]=>1010111=>3
[8,7,5,4,6,3,2,1]=>1110111=>4
[8,7,4,5,6,3,2,1]=>1100111=>4
[8,6,5,4,7,3,2,1]=>1110111=>4
[8,5,6,4,7,3,2,1]=>1010111=>3
[8,6,4,5,7,3,2,1]=>1100111=>4
[8,5,4,6,7,3,2,1]=>1100111=>4
[8,4,5,6,7,3,2,1]=>1000111=>4
[7,6,5,4,8,3,2,1]=>1110111=>4
[6,7,5,4,8,3,2,1]=>0110111=>1
[7,5,6,4,8,3,2,1]=>1010111=>3
[6,5,7,4,8,3,2,1]=>1010111=>3
[5,6,7,4,8,3,2,1]=>0010111=>1
[7,6,4,5,8,3,2,1]=>1100111=>4
[6,7,4,5,8,3,2,1]=>0100111=>2
[7,5,4,6,8,3,2,1]=>1100111=>4
[7,4,5,6,8,3,2,1]=>1000111=>4
[6,5,4,7,8,3,2,1]=>1100111=>4
[5,6,4,7,8,3,2,1]=>0100111=>2
[6,4,5,7,8,3,2,1]=>1000111=>4
[5,4,6,7,8,3,2,1]=>1000111=>4
[4,5,6,7,8,3,2,1]=>0000111=>1
[8,7,6,5,3,4,2,1]=>1111011=>5
[7,8,6,5,3,4,2,1]=>0111011=>2
[8,6,7,5,3,4,2,1]=>1011011=>3
[7,6,8,5,3,4,2,1]=>1011011=>3
[8,7,5,6,3,4,2,1]=>1101011=>5
[7,8,5,6,3,4,2,1]=>0101011=>1
[8,5,6,7,3,4,2,1]=>1001011=>4
[7,6,5,8,3,4,2,1]=>1101011=>5
[6,7,5,8,3,4,2,1]=>0101011=>1
[6,5,7,8,3,4,2,1]=>1001011=>4
[5,6,7,8,3,4,2,1]=>0001011=>1
[8,7,6,4,3,5,2,1]=>1111011=>5
[7,8,6,4,3,5,2,1]=>0111011=>2
[8,6,7,4,3,5,2,1]=>1011011=>3
[7,6,8,4,3,5,2,1]=>1011011=>3
[6,7,8,4,3,5,2,1]=>0011011=>1
[8,7,6,3,4,5,2,1]=>1110011=>5
[7,8,6,3,4,5,2,1]=>0110011=>2
[8,6,7,3,4,5,2,1]=>1010011=>5
[7,6,8,3,4,5,2,1]=>1010011=>5
[6,7,8,3,4,5,2,1]=>0010011=>1
[8,7,5,4,3,6,2,1]=>1111011=>5
[7,8,5,4,3,6,2,1]=>0111011=>2
[8,7,4,5,3,6,2,1]=>1101011=>5
[8,7,5,3,4,6,2,1]=>1110011=>5
[7,8,5,3,4,6,2,1]=>0110011=>2
[8,7,4,3,5,6,2,1]=>1110011=>5
[8,7,3,4,5,6,2,1]=>1100011=>5
[7,8,3,4,5,6,2,1]=>0100011=>3
[8,6,5,4,3,7,2,1]=>1111011=>5
[8,6,4,5,3,7,2,1]=>1101011=>5
[8,6,4,3,5,7,2,1]=>1110011=>5
[8,5,4,3,6,7,2,1]=>1110011=>5
[8,5,3,4,6,7,2,1]=>1100011=>5
[8,4,3,5,6,7,2,1]=>1100011=>5
[8,3,4,5,6,7,2,1]=>1000011=>5
[7,6,5,4,3,8,2,1]=>1111011=>5
[6,7,5,4,3,8,2,1]=>0111011=>2
[7,5,6,4,3,8,2,1]=>1011011=>3
[6,5,7,4,3,8,2,1]=>1011011=>3
[5,6,7,4,3,8,2,1]=>0011011=>1
[6,7,4,5,3,8,2,1]=>0101011=>1
[7,5,4,6,3,8,2,1]=>1101011=>5
[7,4,5,6,3,8,2,1]=>1001011=>4
[6,5,4,7,3,8,2,1]=>1101011=>5
[6,4,5,7,3,8,2,1]=>1001011=>4
[5,4,6,7,3,8,2,1]=>1001011=>4
[4,5,6,7,3,8,2,1]=>0001011=>1
[7,6,5,3,4,8,2,1]=>1110011=>5
[7,6,4,3,5,8,2,1]=>1110011=>5
[7,6,3,4,5,8,2,1]=>1100011=>5
[7,5,4,3,6,8,2,1]=>1110011=>5
[7,5,3,4,6,8,2,1]=>1100011=>5
[7,3,4,5,6,8,2,1]=>1000011=>5
[6,5,4,3,7,8,2,1]=>1110011=>5
[4,5,6,3,7,8,2,1]=>0010011=>1
[6,5,3,4,7,8,2,1]=>1100011=>5
[6,3,4,5,7,8,2,1]=>1000011=>5
[5,4,3,6,7,8,2,1]=>1100011=>5
[5,3,4,6,7,8,2,1]=>1000011=>5
[4,3,5,6,7,8,2,1]=>1000011=>5
[3,4,5,6,7,8,2,1]=>0000011=>1
[8,7,6,5,4,2,3,1]=>1111101=>6
[7,8,6,5,4,2,3,1]=>0111101=>2
[8,6,7,5,4,2,3,1]=>1011101=>4
[7,6,8,5,4,2,3,1]=>1011101=>4
[8,7,5,6,4,2,3,1]=>1101101=>5
[8,6,5,7,4,2,3,1]=>1101101=>5
[8,5,6,7,4,2,3,1]=>1001101=>4
[7,6,5,8,4,2,3,1]=>1101101=>5
[6,7,5,8,4,2,3,1]=>0101101=>2
[7,5,6,8,4,2,3,1]=>1001101=>4
[5,6,7,8,4,2,3,1]=>0001101=>1
[8,7,6,4,5,2,3,1]=>1110101=>6
[8,6,7,4,5,2,3,1]=>1010101=>4
[7,6,8,4,5,2,3,1]=>1010101=>4
[8,7,5,4,6,2,3,1]=>1110101=>6
[8,7,4,5,6,2,3,1]=>1100101=>6
[7,8,4,5,6,2,3,1]=>0100101=>2
[8,6,5,4,7,2,3,1]=>1110101=>6
[8,5,6,4,7,2,3,1]=>1010101=>4
[8,6,4,5,7,2,3,1]=>1100101=>6
[8,4,5,6,7,2,3,1]=>1000101=>5
[7,6,5,4,8,2,3,1]=>1110101=>6
[7,5,6,4,8,2,3,1]=>1010101=>4
[6,5,7,4,8,2,3,1]=>1010101=>4
[6,7,4,5,8,2,3,1]=>0100101=>2
[4,5,6,7,8,2,3,1]=>0000101=>1
[8,7,6,5,3,2,4,1]=>1111101=>6
[7,8,6,5,3,2,4,1]=>0111101=>2
[8,6,7,5,3,2,4,1]=>1011101=>4
[7,6,8,5,3,2,4,1]=>1011101=>4
[6,7,8,5,3,2,4,1]=>0011101=>1
[8,7,5,6,3,2,4,1]=>1101101=>5
[8,6,5,7,3,2,4,1]=>1101101=>5
[8,5,6,7,3,2,4,1]=>1001101=>4
[7,6,5,8,3,2,4,1]=>1101101=>5
[6,7,5,8,3,2,4,1]=>0101101=>2
[5,6,7,8,3,2,4,1]=>0001101=>1
[8,7,6,5,2,3,4,1]=>1111001=>6
[8,6,7,5,2,3,4,1]=>1011001=>5
[7,6,8,5,2,3,4,1]=>1011001=>5
[6,7,8,5,2,3,4,1]=>0011001=>2
[8,7,5,6,2,3,4,1]=>1101001=>6
[7,8,5,6,2,3,4,1]=>0101001=>3
[8,6,5,7,2,3,4,1]=>1101001=>6
[8,5,6,7,2,3,4,1]=>1001001=>5
[7,6,5,8,2,3,4,1]=>1101001=>6
[6,7,5,8,2,3,4,1]=>0101001=>3
[6,5,7,8,2,3,4,1]=>1001001=>5
[5,6,7,8,2,3,4,1]=>0001001=>1
[8,7,6,4,3,2,5,1]=>1111101=>6
[7,8,6,4,3,2,5,1]=>0111101=>2
[8,6,7,4,3,2,5,1]=>1011101=>4
[7,6,8,4,3,2,5,1]=>1011101=>4
[6,7,8,4,3,2,5,1]=>0011101=>1
[8,7,6,3,4,2,5,1]=>1110101=>6
[7,8,6,3,4,2,5,1]=>0110101=>3
[8,6,7,3,4,2,5,1]=>1010101=>4
[7,6,8,3,4,2,5,1]=>1010101=>4
[6,7,8,3,4,2,5,1]=>0010101=>1
[8,7,6,4,2,3,5,1]=>1111001=>6
[8,6,7,4,2,3,5,1]=>1011001=>5
[7,6,8,4,2,3,5,1]=>1011001=>5
[6,7,8,4,2,3,5,1]=>0011001=>2
[8,7,6,3,2,4,5,1]=>1111001=>6
[7,8,6,3,2,4,5,1]=>0111001=>3
[8,6,7,3,2,4,5,1]=>1011001=>5
[6,7,8,3,2,4,5,1]=>0011001=>2
[8,7,6,2,3,4,5,1]=>1110001=>6
[7,8,6,2,3,4,5,1]=>0110001=>4
[8,6,7,2,3,4,5,1]=>1010001=>6
[7,6,8,2,3,4,5,1]=>1010001=>6
[6,7,8,2,3,4,5,1]=>0010001=>2
[8,7,5,4,3,2,6,1]=>1111101=>6
[7,8,5,4,3,2,6,1]=>0111101=>2
[8,7,5,3,4,2,6,1]=>1110101=>6
[7,8,5,3,4,2,6,1]=>0110101=>3
[8,7,4,3,5,2,6,1]=>1110101=>6
[8,7,5,3,2,4,6,1]=>1111001=>6
[8,7,4,3,2,5,6,1]=>1111001=>6
[7,8,4,3,2,5,6,1]=>0111001=>3
[7,8,3,4,2,5,6,1]=>0101001=>3
[7,8,4,2,3,5,6,1]=>0110001=>4
[7,8,3,2,4,5,6,1]=>0110001=>4
[8,7,2,3,4,5,6,1]=>1100001=>6
[7,8,2,3,4,5,6,1]=>0100001=>4
[8,6,5,4,3,2,7,1]=>1111101=>6
[8,5,6,4,3,2,7,1]=>1011101=>4
[8,6,4,5,3,2,7,1]=>1101101=>5
[8,5,4,6,3,2,7,1]=>1101101=>5
[8,6,5,3,4,2,7,1]=>1110101=>6
[8,5,6,3,4,2,7,1]=>1010101=>4
[8,6,4,3,5,2,7,1]=>1110101=>6
[8,6,3,4,5,2,7,1]=>1100101=>6
[8,5,4,3,6,2,7,1]=>1110101=>6
[8,4,5,3,6,2,7,1]=>1010101=>4
[8,4,3,5,6,2,7,1]=>1100101=>6
[8,3,4,5,6,2,7,1]=>1000101=>5
[8,6,5,4,2,3,7,1]=>1111001=>6
[8,5,6,4,2,3,7,1]=>1011001=>5
[8,6,4,5,2,3,7,1]=>1101001=>6
[8,6,5,3,2,4,7,1]=>1111001=>6
[8,6,4,3,2,5,7,1]=>1111001=>6
[8,6,4,2,3,5,7,1]=>1110001=>6
[8,6,2,3,4,5,7,1]=>1100001=>6
[8,5,4,3,2,6,7,1]=>1111001=>6
[8,4,5,3,2,6,7,1]=>1011001=>5
[8,5,3,4,2,6,7,1]=>1101001=>6
[8,3,4,5,2,6,7,1]=>1001001=>5
[8,5,4,2,3,6,7,1]=>1110001=>6
[8,4,5,2,3,6,7,1]=>1010001=>6
[8,5,2,3,4,6,7,1]=>1100001=>6
[8,4,3,2,5,6,7,1]=>1110001=>6
[8,3,4,2,5,6,7,1]=>1010001=>6
[8,4,2,3,5,6,7,1]=>1100001=>6
[8,3,2,4,5,6,7,1]=>1100001=>6
[8,2,3,4,5,6,7,1]=>1000001=>6
[7,6,5,4,3,2,8,1]=>1111101=>6
[6,7,5,4,3,2,8,1]=>0111101=>2
[7,5,6,4,3,2,8,1]=>1011101=>4
[6,5,7,4,3,2,8,1]=>1011101=>4
[5,6,7,4,3,2,8,1]=>0011101=>1
[7,6,4,5,3,2,8,1]=>1101101=>5
[6,7,4,5,3,2,8,1]=>0101101=>2
[7,4,5,6,3,2,8,1]=>1001101=>4
[6,5,4,7,3,2,8,1]=>1101101=>5
[6,4,5,7,3,2,8,1]=>1001101=>4
[4,5,6,7,3,2,8,1]=>0001101=>1
[7,6,5,3,4,2,8,1]=>1110101=>6
[7,5,6,3,4,2,8,1]=>1010101=>4
[6,5,7,3,4,2,8,1]=>1010101=>4
[5,6,7,3,4,2,8,1]=>0010101=>1
[7,6,4,3,5,2,8,1]=>1110101=>6
[7,6,3,4,5,2,8,1]=>1100101=>6
[7,5,4,3,6,2,8,1]=>1110101=>6
[7,4,5,3,6,2,8,1]=>1010101=>4
[7,5,3,4,6,2,8,1]=>1100101=>6
[7,3,4,5,6,2,8,1]=>1000101=>5
[6,5,4,3,7,2,8,1]=>1110101=>6
[6,4,5,3,7,2,8,1]=>1010101=>4
[5,4,6,3,7,2,8,1]=>1010101=>4
[4,5,6,3,7,2,8,1]=>0010101=>1
[6,5,3,4,7,2,8,1]=>1100101=>6
[5,6,3,4,7,2,8,1]=>0100101=>2
[6,4,3,5,7,2,8,1]=>1100101=>6
[6,3,4,5,7,2,8,1]=>1000101=>5
[5,4,3,6,7,2,8,1]=>1100101=>6
[4,5,3,6,7,2,8,1]=>0100101=>2
[4,3,5,6,7,2,8,1]=>1000101=>5
[3,4,5,6,7,2,8,1]=>0000101=>1
[7,6,5,4,2,3,8,1]=>1111001=>6
[6,7,5,4,2,3,8,1]=>0111001=>3
[7,5,6,4,2,3,8,1]=>1011001=>5
[6,5,7,4,2,3,8,1]=>1011001=>5
[5,6,7,4,2,3,8,1]=>0011001=>2
[7,6,4,5,2,3,8,1]=>1101001=>6
[6,7,4,5,2,3,8,1]=>0101001=>3
[7,5,4,6,2,3,8,1]=>1101001=>6
[7,4,5,6,2,3,8,1]=>1001001=>5
[6,5,4,7,2,3,8,1]=>1101001=>6
[5,6,4,7,2,3,8,1]=>0101001=>3
[6,4,5,7,2,3,8,1]=>1001001=>5
[5,4,6,7,2,3,8,1]=>1001001=>5
[4,5,6,7,2,3,8,1]=>0001001=>1
[7,6,5,3,2,4,8,1]=>1111001=>6
[6,7,5,3,2,4,8,1]=>0111001=>3
[6,5,7,3,2,4,8,1]=>1011001=>5
[7,6,5,2,3,4,8,1]=>1110001=>6
[7,5,6,2,3,4,8,1]=>1010001=>6
[5,6,7,2,3,4,8,1]=>0010001=>2
[6,7,4,3,2,5,8,1]=>0111001=>3
[7,6,4,2,3,5,8,1]=>1110001=>6
[7,6,3,2,4,5,8,1]=>1110001=>6
[6,7,3,2,4,5,8,1]=>0110001=>4
[7,6,2,3,4,5,8,1]=>1100001=>6
[6,7,2,3,4,5,8,1]=>0100001=>4
[7,5,4,3,2,6,8,1]=>1111001=>6
[7,4,3,5,2,6,8,1]=>1101001=>6
[7,5,4,2,3,6,8,1]=>1110001=>6
[7,4,5,2,3,6,8,1]=>1010001=>6
[7,5,3,2,4,6,8,1]=>1110001=>6
[7,5,2,3,4,6,8,1]=>1100001=>6
[7,4,3,2,5,6,8,1]=>1110001=>6
[7,4,2,3,5,6,8,1]=>1100001=>6
[7,3,2,4,5,6,8,1]=>1100001=>6
[7,2,3,4,5,6,8,1]=>1000001=>6
[6,5,4,3,2,7,8,1]=>1111001=>6
[5,4,6,3,2,7,8,1]=>1011001=>5
[4,5,6,3,2,7,8,1]=>0011001=>2
[6,5,3,4,2,7,8,1]=>1101001=>6
[6,3,4,5,2,7,8,1]=>1001001=>5
[5,4,3,6,2,7,8,1]=>1101001=>6
[4,3,5,6,2,7,8,1]=>1001001=>5
[3,4,5,6,2,7,8,1]=>0001001=>1
[6,5,4,2,3,7,8,1]=>1110001=>6
[5,6,4,2,3,7,8,1]=>0110001=>4
[6,4,5,2,3,7,8,1]=>1010001=>6
[5,4,6,2,3,7,8,1]=>1010001=>6
[4,5,6,2,3,7,8,1]=>0010001=>2
[6,5,3,2,4,7,8,1]=>1110001=>6
[6,5,2,3,4,7,8,1]=>1100001=>6
[6,2,3,4,5,7,8,1]=>1000001=>6
[5,4,3,2,6,7,8,1]=>1110001=>6
[4,5,3,2,6,7,8,1]=>0110001=>4
[5,3,4,2,6,7,8,1]=>1010001=>6
[4,3,5,2,6,7,8,1]=>1010001=>6
[3,4,5,2,6,7,8,1]=>0010001=>2
[5,4,2,3,6,7,8,1]=>1100001=>6
[4,5,2,3,6,7,8,1]=>0100001=>4
[5,3,2,4,6,7,8,1]=>1100001=>6
[5,2,3,4,6,7,8,1]=>1000001=>6
[4,3,2,5,6,7,8,1]=>1100001=>6
[3,4,2,5,6,7,8,1]=>0100001=>4
[4,2,3,5,6,7,8,1]=>1000001=>6
[3,2,4,5,6,7,8,1]=>1000001=>6
[2,3,4,5,6,7,8,1]=>0000001=>1
[8,7,6,5,4,3,1,2]=>1111110=>7
[7,8,6,5,4,3,1,2]=>0111110=>2
[8,6,7,5,4,3,1,2]=>1011110=>4
[7,6,8,5,4,3,1,2]=>1011110=>4
[6,7,8,5,4,3,1,2]=>0011110=>2
[8,7,5,6,4,3,1,2]=>1101110=>6
[7,8,5,6,4,3,1,2]=>0101110=>2
[8,6,5,7,4,3,1,2]=>1101110=>6
[7,6,5,8,4,3,1,2]=>1101110=>6
[6,7,5,8,4,3,1,2]=>0101110=>2
[7,5,6,8,4,3,1,2]=>1001110=>4
[6,5,7,8,4,3,1,2]=>1001110=>4
[5,6,7,8,4,3,1,2]=>0001110=>2
[8,7,6,4,5,3,1,2]=>1110110=>7
[7,8,6,4,5,3,1,2]=>0110110=>3
[8,6,7,4,5,3,1,2]=>1010110=>5
[6,7,8,4,5,3,1,2]=>0010110=>2
[8,7,5,4,6,3,1,2]=>1110110=>7
[8,5,6,4,7,3,1,2]=>1010110=>5
[8,6,4,5,7,3,1,2]=>1100110=>6
[8,5,4,6,7,3,1,2]=>1100110=>6
[7,6,5,4,8,3,1,2]=>1110110=>7
[7,5,6,4,8,3,1,2]=>1010110=>5
[6,5,7,4,8,3,1,2]=>1010110=>5
[7,6,4,5,8,3,1,2]=>1100110=>6
[6,7,4,5,8,3,1,2]=>0100110=>3
[6,5,4,7,8,3,1,2]=>1100110=>6
[5,6,4,7,8,3,1,2]=>0100110=>3
[5,4,6,7,8,3,1,2]=>1000110=>5
[4,5,6,7,8,3,1,2]=>0000110=>2
[8,7,6,5,3,4,1,2]=>1111010=>7
[7,8,6,5,3,4,1,2]=>0111010=>3
[7,6,8,5,3,4,1,2]=>1011010=>6
[6,7,8,5,3,4,1,2]=>0011010=>2
[8,7,5,6,3,4,1,2]=>1101010=>7
[7,8,5,6,3,4,1,2]=>0101010=>4
[8,6,5,7,3,4,1,2]=>1101010=>7
[8,5,6,7,3,4,1,2]=>1001010=>5
[7,6,5,8,3,4,1,2]=>1101010=>7
[6,7,5,8,3,4,1,2]=>0101010=>4
[7,5,6,8,3,4,1,2]=>1001010=>5
[6,5,7,8,3,4,1,2]=>1001010=>5
[5,6,7,8,3,4,1,2]=>0001010=>2
[6,7,8,4,3,5,1,2]=>0011010=>2
[8,7,6,3,4,5,1,2]=>1110010=>7
[8,6,7,3,4,5,1,2]=>1010010=>6
[7,8,5,4,3,6,1,2]=>0111010=>3
[8,7,4,5,3,6,1,2]=>1101010=>7
[7,8,4,5,3,6,1,2]=>0101010=>4
[7,8,5,3,4,6,1,2]=>0110010=>4
[8,7,4,3,5,6,1,2]=>1110010=>7
[7,8,4,3,5,6,1,2]=>0110010=>4
[8,7,3,4,5,6,1,2]=>1100010=>7
[7,8,3,4,5,6,1,2]=>0100010=>4
[8,6,5,4,3,7,1,2]=>1111010=>7
[8,5,4,3,6,7,1,2]=>1110010=>7
[8,5,3,4,6,7,1,2]=>1100010=>7
[8,4,3,5,6,7,1,2]=>1100010=>7
[8,3,4,5,6,7,1,2]=>1000010=>6
[7,6,5,4,3,8,1,2]=>1111010=>7
[7,5,6,4,3,8,1,2]=>1011010=>6
[6,5,7,4,3,8,1,2]=>1011010=>6
[5,6,7,4,3,8,1,2]=>0011010=>2
[6,7,4,5,3,8,1,2]=>0101010=>4
[5,6,4,7,3,8,1,2]=>0101010=>4
[5,4,6,7,3,8,1,2]=>1001010=>5
[4,5,6,7,3,8,1,2]=>0001010=>2
[7,6,5,3,4,8,1,2]=>1110010=>7
[7,5,6,3,4,8,1,2]=>1010010=>6
[5,6,7,3,4,8,1,2]=>0010010=>3
[7,6,4,3,5,8,1,2]=>1110010=>7
[7,6,3,4,5,8,1,2]=>1100010=>7
[7,5,4,3,6,8,1,2]=>1110010=>7
[7,5,3,4,6,8,1,2]=>1100010=>7
[7,3,4,5,6,8,1,2]=>1000010=>6
[6,5,4,3,7,8,1,2]=>1110010=>7
[5,6,4,3,7,8,1,2]=>0110010=>4
[5,4,6,3,7,8,1,2]=>1010010=>6
[4,5,6,3,7,8,1,2]=>0010010=>3
[6,5,3,4,7,8,1,2]=>1100010=>7
[5,6,3,4,7,8,1,2]=>0100010=>4
[6,4,3,5,7,8,1,2]=>1100010=>7
[6,3,4,5,7,8,1,2]=>1000010=>6
[5,4,3,6,7,8,1,2]=>1100010=>7
[4,5,3,6,7,8,1,2]=>0100010=>4
[5,3,4,6,7,8,1,2]=>1000010=>6
[4,3,5,6,7,8,1,2]=>1000010=>6
[3,4,5,6,7,8,1,2]=>0000010=>2
[8,7,6,5,4,2,1,3]=>1111110=>7
[7,8,6,5,4,2,1,3]=>0111110=>2
[8,6,7,5,4,2,1,3]=>1011110=>4
[7,6,8,5,4,2,1,3]=>1011110=>4
[6,7,8,5,4,2,1,3]=>0011110=>2
[8,7,5,6,4,2,1,3]=>1101110=>6
[7,8,5,6,4,2,1,3]=>0101110=>2
[8,6,5,7,4,2,1,3]=>1101110=>6
[7,6,5,8,4,2,1,3]=>1101110=>6
[6,7,5,8,4,2,1,3]=>0101110=>2
[7,5,6,8,4,2,1,3]=>1001110=>4
[6,5,7,8,4,2,1,3]=>1001110=>4
[5,6,7,8,4,2,1,3]=>0001110=>2
[8,7,6,4,5,2,1,3]=>1110110=>7
[8,6,7,4,5,2,1,3]=>1010110=>5
[7,6,8,4,5,2,1,3]=>1010110=>5
[8,7,4,5,6,2,1,3]=>1100110=>6
[8,6,5,4,7,2,1,3]=>1110110=>7
[8,6,4,5,7,2,1,3]=>1100110=>6
[8,4,5,6,7,2,1,3]=>1000110=>5
[7,6,5,4,8,2,1,3]=>1110110=>7
[6,7,5,4,8,2,1,3]=>0110110=>3
[7,5,6,4,8,2,1,3]=>1010110=>5
[6,5,7,4,8,2,1,3]=>1010110=>5
[5,6,7,4,8,2,1,3]=>0010110=>2
[7,6,4,5,8,2,1,3]=>1100110=>6
[7,4,5,6,8,2,1,3]=>1000110=>5
[5,4,6,7,8,2,1,3]=>1000110=>5
[4,5,6,7,8,2,1,3]=>0000110=>2
[8,7,6,5,4,1,2,3]=>1111100=>7
[7,8,6,5,4,1,2,3]=>0111100=>3
[7,6,8,5,4,1,2,3]=>1011100=>5
[6,7,8,5,4,1,2,3]=>0011100=>3
[7,8,5,6,4,1,2,3]=>0101100=>3
[8,6,5,7,4,1,2,3]=>1101100=>7
[8,5,6,7,4,1,2,3]=>1001100=>6
[7,6,5,8,4,1,2,3]=>1101100=>7
[6,7,5,8,4,1,2,3]=>0101100=>3
[7,5,6,8,4,1,2,3]=>1001100=>6
[6,5,7,8,4,1,2,3]=>1001100=>6
[5,6,7,8,4,1,2,3]=>0001100=>3
[8,7,6,4,5,1,2,3]=>1110100=>7
[8,6,7,4,5,1,2,3]=>1010100=>7
[6,7,8,4,5,1,2,3]=>0010100=>3
[8,7,5,4,6,1,2,3]=>1110100=>7
[7,8,5,4,6,1,2,3]=>0110100=>4
[8,7,4,5,6,1,2,3]=>1100100=>7
[7,8,4,5,6,1,2,3]=>0100100=>5
[8,5,6,4,7,1,2,3]=>1010100=>7
[8,6,4,5,7,1,2,3]=>1100100=>7
[8,5,4,6,7,1,2,3]=>1100100=>7
[8,4,5,6,7,1,2,3]=>1000100=>6
[7,6,5,4,8,1,2,3]=>1110100=>7
[6,7,5,4,8,1,2,3]=>0110100=>4
[7,5,6,4,8,1,2,3]=>1010100=>7
[6,5,7,4,8,1,2,3]=>1010100=>7
[5,6,7,4,8,1,2,3]=>0010100=>3
[7,6,4,5,8,1,2,3]=>1100100=>7
[6,7,4,5,8,1,2,3]=>0100100=>5
[7,5,4,6,8,1,2,3]=>1100100=>7
[7,4,5,6,8,1,2,3]=>1000100=>6
[6,5,4,7,8,1,2,3]=>1100100=>7
[5,6,4,7,8,1,2,3]=>0100100=>5
[6,4,5,7,8,1,2,3]=>1000100=>6
[5,4,6,7,8,1,2,3]=>1000100=>6
[4,5,6,7,8,1,2,3]=>0000100=>3
[8,7,6,5,3,2,1,4]=>1111110=>7
[7,8,6,5,3,2,1,4]=>0111110=>2
[8,6,7,5,3,2,1,4]=>1011110=>4
[7,6,8,5,3,2,1,4]=>1011110=>4
[6,7,8,5,3,2,1,4]=>0011110=>2
[8,7,5,6,3,2,1,4]=>1101110=>6
[7,8,5,6,3,2,1,4]=>0101110=>2
[8,6,5,7,3,2,1,4]=>1101110=>6
[8,5,6,7,3,2,1,4]=>1001110=>4
[7,6,5,8,3,2,1,4]=>1101110=>6
[6,7,5,8,3,2,1,4]=>0101110=>2
[7,5,6,8,3,2,1,4]=>1001110=>4
[6,5,7,8,3,2,1,4]=>1001110=>4
[5,6,7,8,3,2,1,4]=>0001110=>2
[8,7,6,5,2,3,1,4]=>1111010=>7
[7,8,6,5,2,3,1,4]=>0111010=>3
[8,6,7,5,2,3,1,4]=>1011010=>6
[7,6,8,5,2,3,1,4]=>1011010=>6
[6,7,8,5,2,3,1,4]=>0011010=>2
[8,7,5,6,2,3,1,4]=>1101010=>7
[7,8,5,6,2,3,1,4]=>0101010=>4
[8,6,5,7,2,3,1,4]=>1101010=>7
[8,5,6,7,2,3,1,4]=>1001010=>5
[7,6,5,8,2,3,1,4]=>1101010=>7
[6,7,5,8,2,3,1,4]=>0101010=>4
[7,5,6,8,2,3,1,4]=>1001010=>5
[6,5,7,8,2,3,1,4]=>1001010=>5
[5,6,7,8,2,3,1,4]=>0001010=>2
[8,7,6,5,3,1,2,4]=>1111100=>7
[7,8,6,5,3,1,2,4]=>0111100=>3
[8,6,7,5,3,1,2,4]=>1011100=>5
[7,6,8,5,3,1,2,4]=>1011100=>5
[8,7,5,6,3,1,2,4]=>1101100=>7
[7,8,5,6,3,1,2,4]=>0101100=>3
[7,6,5,8,3,1,2,4]=>1101100=>7
[6,7,5,8,3,1,2,4]=>0101100=>3
[7,5,6,8,3,1,2,4]=>1001100=>6
[6,5,7,8,3,1,2,4]=>1001100=>6
[5,6,7,8,3,1,2,4]=>0001100=>3
[8,7,6,5,2,1,3,4]=>1111100=>7
[7,8,6,5,2,1,3,4]=>0111100=>3
[7,6,8,5,2,1,3,4]=>1011100=>5
[6,7,8,5,2,1,3,4]=>0011100=>3
[8,7,5,6,2,1,3,4]=>1101100=>7
[7,8,5,6,2,1,3,4]=>0101100=>3
[8,6,5,7,2,1,3,4]=>1101100=>7
[8,5,6,7,2,1,3,4]=>1001100=>6
[7,6,5,8,2,1,3,4]=>1101100=>7
[6,7,5,8,2,1,3,4]=>0101100=>3
[7,5,6,8,2,1,3,4]=>1001100=>6
[6,5,7,8,2,1,3,4]=>1001100=>6
[5,6,7,8,2,1,3,4]=>0001100=>3
[8,7,6,5,1,2,3,4]=>1111000=>7
[7,8,6,5,1,2,3,4]=>0111000=>4
[8,6,7,5,1,2,3,4]=>1011000=>6
[7,6,8,5,1,2,3,4]=>1011000=>6
[6,7,8,5,1,2,3,4]=>0011000=>4
[8,7,5,6,1,2,3,4]=>1101000=>7
[7,8,5,6,1,2,3,4]=>0101000=>5
[8,6,5,7,1,2,3,4]=>1101000=>7
[8,5,6,7,1,2,3,4]=>1001000=>7
[7,6,5,8,1,2,3,4]=>1101000=>7
[6,7,5,8,1,2,3,4]=>0101000=>5
[7,5,6,8,1,2,3,4]=>1001000=>7
[6,5,7,8,1,2,3,4]=>1001000=>7
[5,6,7,8,1,2,3,4]=>0001000=>4
[8,7,6,4,3,2,1,5]=>1111110=>7
[7,8,6,4,3,2,1,5]=>0111110=>2
[8,6,7,4,3,2,1,5]=>1011110=>4
[7,6,8,4,3,2,1,5]=>1011110=>4
[6,7,8,4,3,2,1,5]=>0011110=>2
[8,7,6,3,4,2,1,5]=>1110110=>7
[7,8,6,3,4,2,1,5]=>0110110=>3
[6,7,8,3,4,2,1,5]=>0010110=>2
[8,7,6,4,2,3,1,5]=>1111010=>7
[8,6,7,4,2,3,1,5]=>1011010=>6
[7,6,8,4,2,3,1,5]=>1011010=>6
[6,7,8,4,2,3,1,5]=>0011010=>2
[8,7,6,3,2,4,1,5]=>1111010=>7
[8,6,7,3,2,4,1,5]=>1011010=>6
[6,7,8,3,2,4,1,5]=>0011010=>2
[8,7,6,2,3,4,1,5]=>1110010=>7
[8,6,7,2,3,4,1,5]=>1010010=>6
[7,6,8,2,3,4,1,5]=>1010010=>6
[6,7,8,2,3,4,1,5]=>0010010=>3
[8,7,6,4,3,1,2,5]=>1111100=>7
[6,7,8,4,3,1,2,5]=>0011100=>3
[8,7,6,3,4,1,2,5]=>1110100=>7
[7,8,6,3,4,1,2,5]=>0110100=>4
[8,6,7,3,4,1,2,5]=>1010100=>7
[6,7,8,3,4,1,2,5]=>0010100=>3
[8,7,6,4,2,1,3,5]=>1111100=>7
[7,8,6,4,2,1,3,5]=>0111100=>3
[8,6,7,4,2,1,3,5]=>1011100=>5
[6,7,8,4,2,1,3,5]=>0011100=>3
[8,7,6,4,1,2,3,5]=>1111000=>7
[7,8,6,4,1,2,3,5]=>0111000=>4
[7,6,8,4,1,2,3,5]=>1011000=>6
[6,7,8,4,1,2,3,5]=>0011000=>4
[8,7,6,3,2,1,4,5]=>1111100=>7
[7,8,6,3,2,1,4,5]=>0111100=>3
[8,6,7,3,2,1,4,5]=>1011100=>5
[7,6,8,3,2,1,4,5]=>1011100=>5
[6,7,8,3,2,1,4,5]=>0011100=>3
[8,7,6,2,3,1,4,5]=>1110100=>7
[7,8,6,2,3,1,4,5]=>0110100=>4
[8,6,7,2,3,1,4,5]=>1010100=>7
[7,6,8,2,3,1,4,5]=>1010100=>7
[6,7,8,2,3,1,4,5]=>0010100=>3
[8,7,6,3,1,2,4,5]=>1111000=>7
[7,8,6,3,1,2,4,5]=>0111000=>4
[8,6,7,3,1,2,4,5]=>1011000=>6
[7,6,8,3,1,2,4,5]=>1011000=>6
[6,7,8,3,1,2,4,5]=>0011000=>4
[8,7,6,2,1,3,4,5]=>1111000=>7
[7,8,6,2,1,3,4,5]=>0111000=>4
[8,6,7,2,1,3,4,5]=>1011000=>6
[6,7,8,2,1,3,4,5]=>0011000=>4
[8,7,6,1,2,3,4,5]=>1110000=>7
[7,8,6,1,2,3,4,5]=>0110000=>5
[8,6,7,1,2,3,4,5]=>1010000=>7
[7,6,8,1,2,3,4,5]=>1010000=>7
[6,7,8,1,2,3,4,5]=>0010000=>5
[8,7,5,4,3,2,1,6]=>1111110=>7
[7,8,5,4,3,2,1,6]=>0111110=>2
[8,7,4,5,3,2,1,6]=>1101110=>6
[7,8,4,5,3,2,1,6]=>0101110=>2
[8,7,5,3,4,2,1,6]=>1110110=>7
[8,7,4,3,5,2,1,6]=>1110110=>7
[8,7,3,4,5,2,1,6]=>1100110=>6
[7,8,3,4,5,2,1,6]=>0100110=>3
[8,7,4,5,2,3,1,6]=>1101010=>7
[7,8,4,5,2,3,1,6]=>0101010=>4
[8,7,5,3,2,4,1,6]=>1111010=>7
[7,8,5,2,3,4,1,6]=>0110010=>4
[8,7,4,3,2,5,1,6]=>1111010=>7
[7,8,4,3,2,5,1,6]=>0111010=>3
[8,7,3,4,2,5,1,6]=>1101010=>7
[7,8,3,4,2,5,1,6]=>0101010=>4
[8,7,2,3,4,5,1,6]=>1100010=>7
[7,8,2,3,4,5,1,6]=>0100010=>4
[8,7,5,4,3,1,2,6]=>1111100=>7
[7,8,5,4,3,1,2,6]=>0111100=>3
[8,7,5,3,4,1,2,6]=>1110100=>7
[7,8,5,3,4,1,2,6]=>0110100=>4
[8,7,3,4,5,1,2,6]=>1100100=>7
[7,8,3,4,5,1,2,6]=>0100100=>5
[7,8,5,4,2,1,3,6]=>0111100=>3
[8,7,5,4,1,2,3,6]=>1111000=>7
[7,8,5,4,1,2,3,6]=>0111000=>4
[8,7,4,5,1,2,3,6]=>1101000=>7
[7,8,4,5,1,2,3,6]=>0101000=>5
[8,7,5,3,2,1,4,6]=>1111100=>7
[7,8,5,3,2,1,4,6]=>0111100=>3
[8,7,5,2,3,1,4,6]=>1110100=>7
[8,7,5,3,1,2,4,6]=>1111000=>7
[7,8,5,3,1,2,4,6]=>0111000=>4
[8,7,5,2,1,3,4,6]=>1111000=>7
[7,8,5,2,1,3,4,6]=>0111000=>4
[8,7,5,1,2,3,4,6]=>1110000=>7
[7,8,5,1,2,3,4,6]=>0110000=>5
[8,7,4,3,2,1,5,6]=>1111100=>7
[7,8,4,3,2,1,5,6]=>0111100=>3
[8,7,3,4,2,1,5,6]=>1101100=>7
[7,8,3,4,2,1,5,6]=>0101100=>3
[7,8,4,2,3,1,5,6]=>0110100=>4
[8,7,3,2,4,1,5,6]=>1110100=>7
[7,8,3,2,4,1,5,6]=>0110100=>4
[8,7,2,3,4,1,5,6]=>1100100=>7
[7,8,2,3,4,1,5,6]=>0100100=>5
[7,8,4,3,1,2,5,6]=>0111000=>4
[8,7,3,4,1,2,5,6]=>1101000=>7
[7,8,3,4,1,2,5,6]=>0101000=>5
[8,7,4,2,1,3,5,6]=>1111000=>7
[7,8,4,2,1,3,5,6]=>0111000=>4
[8,7,4,1,2,3,5,6]=>1110000=>7
[7,8,4,1,2,3,5,6]=>0110000=>5
[8,7,3,2,1,4,5,6]=>1111000=>7
[7,8,3,2,1,4,5,6]=>0111000=>4
[8,7,2,3,1,4,5,6]=>1101000=>7
[7,8,2,3,1,4,5,6]=>0101000=>5
[7,8,3,1,2,4,5,6]=>0110000=>5
[8,7,2,1,3,4,5,6]=>1110000=>7
[7,8,2,1,3,4,5,6]=>0110000=>5
[8,7,1,2,3,4,5,6]=>1100000=>7
[7,8,1,2,3,4,5,6]=>0100000=>6
[8,6,5,4,3,2,1,7]=>1111110=>7
[8,5,6,4,3,2,1,7]=>1011110=>4
[8,6,4,5,3,2,1,7]=>1101110=>6
[8,5,4,6,3,2,1,7]=>1101110=>6
[8,4,5,6,3,2,1,7]=>1001110=>4
[8,6,5,3,4,2,1,7]=>1110110=>7
[8,5,6,3,4,2,1,7]=>1010110=>5
[8,6,4,3,5,2,1,7]=>1110110=>7
[8,4,5,3,6,2,1,7]=>1010110=>5
[8,4,3,5,6,2,1,7]=>1100110=>6
[8,3,4,5,6,2,1,7]=>1000110=>5
[8,6,5,4,2,3,1,7]=>1111010=>7
[8,5,6,4,2,3,1,7]=>1011010=>6
[8,6,4,5,2,3,1,7]=>1101010=>7
[8,4,5,6,2,3,1,7]=>1001010=>5
[8,6,5,3,2,4,1,7]=>1111010=>7
[8,6,5,2,3,4,1,7]=>1110010=>7
[8,5,6,2,3,4,1,7]=>1010010=>6
[8,6,4,3,2,5,1,7]=>1111010=>7
[8,6,4,2,3,5,1,7]=>1110010=>7
[8,6,3,2,4,5,1,7]=>1110010=>7
[8,5,4,3,2,6,1,7]=>1111010=>7
[8,4,3,5,2,6,1,7]=>1101010=>7
[8,5,4,2,3,6,1,7]=>1110010=>7
[8,4,5,2,3,6,1,7]=>1010010=>6
[8,5,3,2,4,6,1,7]=>1110010=>7
[8,5,2,3,4,6,1,7]=>1100010=>7
[8,3,4,2,5,6,1,7]=>1010010=>6
[8,3,2,4,5,6,1,7]=>1100010=>7
[8,2,3,4,5,6,1,7]=>1000010=>6
[8,6,5,4,3,1,2,7]=>1111100=>7
[8,6,4,5,3,1,2,7]=>1101100=>7
[8,6,5,3,4,1,2,7]=>1110100=>7
[8,5,6,3,4,1,2,7]=>1010100=>7
[8,6,3,4,5,1,2,7]=>1100100=>7
[8,5,4,3,6,1,2,7]=>1110100=>7
[8,4,5,3,6,1,2,7]=>1010100=>7
[8,5,3,4,6,1,2,7]=>1100100=>7
[8,4,3,5,6,1,2,7]=>1100100=>7
[8,3,4,5,6,1,2,7]=>1000100=>6
[8,6,5,4,2,1,3,7]=>1111100=>7
[8,5,6,4,2,1,3,7]=>1011100=>5
[8,6,4,5,2,1,3,7]=>1101100=>7
[8,4,5,6,2,1,3,7]=>1001100=>6
[8,6,5,4,1,2,3,7]=>1111000=>7
[8,5,6,4,1,2,3,7]=>1011000=>6
[8,6,4,5,1,2,3,7]=>1101000=>7
[8,4,5,6,1,2,3,7]=>1001000=>7
[8,6,5,3,2,1,4,7]=>1111100=>7
[8,5,6,3,2,1,4,7]=>1011100=>5
[8,6,5,2,3,1,4,7]=>1110100=>7
[8,5,6,2,3,1,4,7]=>1010100=>7
[8,5,6,3,1,2,4,7]=>1011000=>6
[8,6,5,2,1,3,4,7]=>1111000=>7
[8,5,6,2,1,3,4,7]=>1011000=>6
[8,6,5,1,2,3,4,7]=>1110000=>7
[8,5,6,1,2,3,4,7]=>1010000=>7
[8,6,4,3,2,1,5,7]=>1111100=>7
[8,6,3,4,2,1,5,7]=>1101100=>7
[8,6,4,2,3,1,5,7]=>1110100=>7
[8,6,3,2,4,1,5,7]=>1110100=>7
[8,6,2,3,4,1,5,7]=>1100100=>7
[8,6,4,3,1,2,5,7]=>1111000=>7
[8,6,3,4,1,2,5,7]=>1101000=>7
[8,6,4,2,1,3,5,7]=>1111000=>7
[8,6,4,1,2,3,5,7]=>1110000=>7
[8,6,1,2,3,4,5,7]=>1100000=>7
[8,5,4,3,2,1,6,7]=>1111100=>7
[8,4,5,3,2,1,6,7]=>1011100=>5
[8,4,3,5,2,1,6,7]=>1101100=>7
[8,3,4,5,2,1,6,7]=>1001100=>6
[8,4,5,2,3,1,6,7]=>1010100=>7
[8,5,2,3,4,1,6,7]=>1100100=>7
[8,4,2,3,5,1,6,7]=>1100100=>7
[8,2,3,4,5,1,6,7]=>1000100=>6
[8,5,3,4,1,2,6,7]=>1101000=>7
[8,3,4,5,1,2,6,7]=>1001000=>7
[8,5,4,2,1,3,6,7]=>1111000=>7
[8,5,4,1,2,3,6,7]=>1110000=>7
[8,4,5,1,2,3,6,7]=>1010000=>7
[8,5,3,2,1,4,6,7]=>1111000=>7
[8,5,3,1,2,4,6,7]=>1110000=>7
[8,5,2,1,3,4,6,7]=>1110000=>7
[8,5,1,2,3,4,6,7]=>1100000=>7
[8,4,3,2,1,5,6,7]=>1111000=>7
[8,3,4,2,1,5,6,7]=>1011000=>6
[8,4,2,3,1,5,6,7]=>1101000=>7
[8,2,3,4,1,5,6,7]=>1001000=>7
[8,3,4,1,2,5,6,7]=>1010000=>7
[8,4,2,1,3,5,6,7]=>1110000=>7
[8,4,1,2,3,5,6,7]=>1100000=>7
[8,3,2,1,4,5,6,7]=>1110000=>7
[8,2,3,1,4,5,6,7]=>1010000=>7
[8,3,1,2,4,5,6,7]=>1100000=>7
[8,2,1,3,4,5,6,7]=>1100000=>7
[8,1,2,3,4,5,6,7]=>1000000=>7
[7,6,5,4,3,2,1,8]=>1111110=>7
[6,7,5,4,3,2,1,8]=>0111110=>2
[7,5,6,4,3,2,1,8]=>1011110=>4
[6,5,7,4,3,2,1,8]=>1011110=>4
[5,6,7,4,3,2,1,8]=>0011110=>2
[7,6,4,5,3,2,1,8]=>1101110=>6
[6,7,4,5,3,2,1,8]=>0101110=>2
[7,5,4,6,3,2,1,8]=>1101110=>6
[7,4,5,6,3,2,1,8]=>1001110=>4
[6,5,4,7,3,2,1,8]=>1101110=>6
[5,6,4,7,3,2,1,8]=>0101110=>2
[5,4,6,7,3,2,1,8]=>1001110=>4
[4,5,6,7,3,2,1,8]=>0001110=>2
[7,6,5,3,4,2,1,8]=>1110110=>7
[6,7,5,3,4,2,1,8]=>0110110=>3
[7,5,6,3,4,2,1,8]=>1010110=>5
[6,5,7,3,4,2,1,8]=>1010110=>5
[5,6,7,3,4,2,1,8]=>0010110=>2
[7,6,4,3,5,2,1,8]=>1110110=>7
[6,7,4,3,5,2,1,8]=>0110110=>3
[7,6,3,4,5,2,1,8]=>1100110=>6
[7,5,4,3,6,2,1,8]=>1110110=>7
[7,4,5,3,6,2,1,8]=>1010110=>5
[7,3,4,5,6,2,1,8]=>1000110=>5
[6,5,4,3,7,2,1,8]=>1110110=>7
[5,6,4,3,7,2,1,8]=>0110110=>3
[5,4,6,3,7,2,1,8]=>1010110=>5
[5,4,3,6,7,2,1,8]=>1100110=>6
[3,4,5,6,7,2,1,8]=>0000110=>2
[7,6,5,4,2,3,1,8]=>1111010=>7
[6,7,5,4,2,3,1,8]=>0111010=>3
[7,5,6,4,2,3,1,8]=>1011010=>6
[5,6,7,4,2,3,1,8]=>0011010=>2
[7,6,4,5,2,3,1,8]=>1101010=>7
[6,7,4,5,2,3,1,8]=>0101010=>4
[7,5,4,6,2,3,1,8]=>1101010=>7
[7,4,5,6,2,3,1,8]=>1001010=>5
[6,5,4,7,2,3,1,8]=>1101010=>7
[5,6,4,7,2,3,1,8]=>0101010=>4
[5,4,6,7,2,3,1,8]=>1001010=>5
[4,5,6,7,2,3,1,8]=>0001010=>2
[7,6,5,3,2,4,1,8]=>1111010=>7
[6,5,7,3,2,4,1,8]=>1011010=>6
[5,6,7,3,2,4,1,8]=>0011010=>2
[7,6,5,2,3,4,1,8]=>1110010=>7
[6,7,5,2,3,4,1,8]=>0110010=>4
[7,5,6,2,3,4,1,8]=>1010010=>6
[6,5,7,2,3,4,1,8]=>1010010=>6
[5,6,7,2,3,4,1,8]=>0010010=>3
[7,6,4,3,2,5,1,8]=>1111010=>7
[6,7,4,3,2,5,1,8]=>0111010=>3
[6,7,3,4,2,5,1,8]=>0101010=>4
[7,6,4,2,3,5,1,8]=>1110010=>7
[6,7,4,2,3,5,1,8]=>0110010=>4
[7,6,3,2,4,5,1,8]=>1110010=>7
[6,7,3,2,4,5,1,8]=>0110010=>4
[7,6,2,3,4,5,1,8]=>1100010=>7
[6,7,2,3,4,5,1,8]=>0100010=>4
[7,5,4,3,2,6,1,8]=>1111010=>7
[7,4,5,3,2,6,1,8]=>1011010=>6
[7,5,3,4,2,6,1,8]=>1101010=>7
[7,4,3,5,2,6,1,8]=>1101010=>7
[7,5,4,2,3,6,1,8]=>1110010=>7
[7,4,5,2,3,6,1,8]=>1010010=>6
[7,5,3,2,4,6,1,8]=>1110010=>7
[7,4,2,3,5,6,1,8]=>1100010=>7
[7,2,3,4,5,6,1,8]=>1000010=>6
[6,5,4,3,2,7,1,8]=>1111010=>7
[5,6,4,3,2,7,1,8]=>0111010=>3
[5,4,6,3,2,7,1,8]=>1011010=>6
[5,6,3,4,2,7,1,8]=>0101010=>4
[6,3,4,5,2,7,1,8]=>1001010=>5
[5,4,3,6,2,7,1,8]=>1101010=>7
[4,5,3,6,2,7,1,8]=>0101010=>4
[5,3,4,6,2,7,1,8]=>1001010=>5
[4,3,5,6,2,7,1,8]=>1001010=>5
[3,4,5,6,2,7,1,8]=>0001010=>2
[5,4,6,2,3,7,1,8]=>1010010=>6
[6,5,3,2,4,7,1,8]=>1110010=>7
[6,4,2,3,5,7,1,8]=>1100010=>7
[6,3,2,4,5,7,1,8]=>1100010=>7
[6,2,3,4,5,7,1,8]=>1000010=>6
[5,4,3,2,6,7,1,8]=>1110010=>7
[3,4,5,2,6,7,1,8]=>0010010=>3
[5,4,2,3,6,7,1,8]=>1100010=>7
[4,5,2,3,6,7,1,8]=>0100010=>4
[5,2,3,4,6,7,1,8]=>1000010=>6
[4,3,2,5,6,7,1,8]=>1100010=>7
[3,4,2,5,6,7,1,8]=>0100010=>4
[4,2,3,5,6,7,1,8]=>1000010=>6
[3,2,4,5,6,7,1,8]=>1000010=>6
[2,3,4,5,6,7,1,8]=>0000010=>2
[7,6,5,4,3,1,2,8]=>1111100=>7
[6,7,5,4,3,1,2,8]=>0111100=>3
[7,5,6,4,3,1,2,8]=>1011100=>5
[7,6,4,5,3,1,2,8]=>1101100=>7
[7,4,5,6,3,1,2,8]=>1001100=>6
[5,4,6,7,3,1,2,8]=>1001100=>6
[4,5,6,7,3,1,2,8]=>0001100=>3
[7,6,5,3,4,1,2,8]=>1110100=>7
[7,5,6,3,4,1,2,8]=>1010100=>7
[6,7,3,4,5,1,2,8]=>0100100=>5
[7,5,3,4,6,1,2,8]=>1100100=>7
[6,5,4,3,7,1,2,8]=>1110100=>7
[5,6,3,4,7,1,2,8]=>0100100=>5
[6,4,3,5,7,1,2,8]=>1100100=>7
[6,3,4,5,7,1,2,8]=>1000100=>6
[4,3,5,6,7,1,2,8]=>1000100=>6
[3,4,5,6,7,1,2,8]=>0000100=>3
[7,6,5,4,2,1,3,8]=>1111100=>7
[6,5,7,4,2,1,3,8]=>1011100=>5
[7,6,4,5,2,1,3,8]=>1101100=>7
[7,5,4,6,2,1,3,8]=>1101100=>7
[7,4,5,6,2,1,3,8]=>1001100=>6
[5,4,6,7,2,1,3,8]=>1001100=>6
[4,5,6,7,2,1,3,8]=>0001100=>3
[7,6,5,4,1,2,3,8]=>1111000=>7
[7,5,6,4,1,2,3,8]=>1011000=>6
[5,6,7,4,1,2,3,8]=>0011000=>4
[7,6,4,5,1,2,3,8]=>1101000=>7
[7,5,4,6,1,2,3,8]=>1101000=>7
[7,4,5,6,1,2,3,8]=>1001000=>7
[5,4,6,7,1,2,3,8]=>1001000=>7
[4,5,6,7,1,2,3,8]=>0001000=>4
[7,6,5,3,2,1,4,8]=>1111100=>7
[7,6,5,2,3,1,4,8]=>1110100=>7
[6,7,5,2,3,1,4,8]=>0110100=>4
[7,5,6,2,3,1,4,8]=>1010100=>7
[6,5,7,2,3,1,4,8]=>1010100=>7
[5,6,7,2,3,1,4,8]=>0010100=>3
[7,5,6,3,1,2,4,8]=>1011000=>6
[7,6,5,2,1,3,4,8]=>1111000=>7
[6,7,5,2,1,3,4,8]=>0111000=>4
[7,5,6,2,1,3,4,8]=>1011000=>6
[5,6,7,2,1,3,4,8]=>0011000=>4
[7,6,5,1,2,3,4,8]=>1110000=>7
[6,7,5,1,2,3,4,8]=>0110000=>5
[7,5,6,1,2,3,4,8]=>1010000=>7
[6,5,7,1,2,3,4,8]=>1010000=>7
[5,6,7,1,2,3,4,8]=>0010000=>5
[7,6,4,3,2,1,5,8]=>1111100=>7
[6,7,4,3,2,1,5,8]=>0111100=>3
[7,6,3,4,2,1,5,8]=>1101100=>7
[7,6,3,2,4,1,5,8]=>1110100=>7
[6,7,3,2,4,1,5,8]=>0110100=>4
[7,6,2,3,4,1,5,8]=>1100100=>7
[6,7,2,3,4,1,5,8]=>0100100=>5
[7,6,4,3,1,2,5,8]=>1111000=>7
[6,7,3,4,1,2,5,8]=>0101000=>5
[7,6,4,2,1,3,5,8]=>1111000=>7
[7,6,3,2,1,4,5,8]=>1111000=>7
[6,7,3,2,1,4,5,8]=>0111000=>4
[7,6,2,3,1,4,5,8]=>1101000=>7
[6,7,2,3,1,4,5,8]=>0101000=>5
[6,7,3,1,2,4,5,8]=>0110000=>5
[7,6,1,2,3,4,5,8]=>1100000=>7
[6,7,1,2,3,4,5,8]=>0100000=>6
[7,5,4,3,2,1,6,8]=>1111100=>7
[7,4,5,3,2,1,6,8]=>1011100=>5
[7,4,3,5,2,1,6,8]=>1101100=>7
[7,3,4,5,2,1,6,8]=>1001100=>6
[7,5,4,2,3,1,6,8]=>1110100=>7
[7,5,3,2,4,1,6,8]=>1110100=>7
[7,5,2,3,4,1,6,8]=>1100100=>7
[7,4,2,3,5,1,6,8]=>1100100=>7
[7,2,3,4,5,1,6,8]=>1000100=>6
[7,5,4,3,1,2,6,8]=>1111000=>7
[7,5,3,4,1,2,6,8]=>1101000=>7
[7,4,5,2,1,3,6,8]=>1011000=>6
[7,4,5,1,2,3,6,8]=>1010000=>7
[7,5,3,2,1,4,6,8]=>1111000=>7
[7,5,2,3,1,4,6,8]=>1101000=>7
[7,5,3,1,2,4,6,8]=>1110000=>7
[7,5,1,2,3,4,6,8]=>1100000=>7
[7,4,3,2,1,5,6,8]=>1111000=>7
[7,2,3,4,1,5,6,8]=>1001000=>7
[7,4,3,1,2,5,6,8]=>1110000=>7
[7,3,4,1,2,5,6,8]=>1010000=>7
[7,4,1,2,3,5,6,8]=>1100000=>7
[7,3,2,1,4,5,6,8]=>1110000=>7
[7,2,3,1,4,5,6,8]=>1010000=>7
[7,3,1,2,4,5,6,8]=>1100000=>7
[7,2,1,3,4,5,6,8]=>1100000=>7
[7,1,2,3,4,5,6,8]=>1000000=>7
[6,5,4,3,2,1,7,8]=>1111100=>7
[5,6,4,3,2,1,7,8]=>0111100=>3
[5,4,6,3,2,1,7,8]=>1011100=>5
[4,5,6,3,2,1,7,8]=>0011100=>3
[6,5,3,4,2,1,7,8]=>1101100=>7
[5,6,3,4,2,1,7,8]=>0101100=>3
[5,4,3,6,2,1,7,8]=>1101100=>7
[3,4,5,6,2,1,7,8]=>0001100=>3
[5,4,6,2,3,1,7,8]=>1010100=>7
[5,6,3,2,4,1,7,8]=>0110100=>4
[6,5,2,3,4,1,7,8]=>1100100=>7
[5,6,2,3,4,1,7,8]=>0100100=>5
[6,4,3,2,5,1,7,8]=>1110100=>7
[6,2,3,4,5,1,7,8]=>1000100=>6
[5,4,3,2,6,1,7,8]=>1110100=>7
[4,5,3,2,6,1,7,8]=>0110100=>4
[4,3,5,2,6,1,7,8]=>1010100=>7
[3,4,5,2,6,1,7,8]=>0010100=>3
[5,3,2,4,6,1,7,8]=>1100100=>7
[5,2,3,4,6,1,7,8]=>1000100=>6
[4,3,2,5,6,1,7,8]=>1100100=>7
[3,4,2,5,6,1,7,8]=>0100100=>5
[4,2,3,5,6,1,7,8]=>1000100=>6
[3,2,4,5,6,1,7,8]=>1000100=>6
[2,3,4,5,6,1,7,8]=>0000100=>3
[6,5,4,3,1,2,7,8]=>1111000=>7
[6,4,5,3,1,2,7,8]=>1011000=>6
[5,4,6,3,1,2,7,8]=>1011000=>6
[5,6,3,4,1,2,7,8]=>0101000=>5
[5,4,3,6,1,2,7,8]=>1101000=>7
[4,3,5,6,1,2,7,8]=>1001000=>7
[3,4,5,6,1,2,7,8]=>0001000=>4
[6,5,4,2,1,3,7,8]=>1111000=>7
[5,6,4,2,1,3,7,8]=>0111000=>4
[6,4,5,2,1,3,7,8]=>1011000=>6
[4,5,6,2,1,3,7,8]=>0011000=>4
[6,5,4,1,2,3,7,8]=>1110000=>7
[4,5,6,1,2,3,7,8]=>0010000=>5
[6,5,3,2,1,4,7,8]=>1111000=>7
[5,6,3,2,1,4,7,8]=>0111000=>4
[5,6,2,1,3,4,7,8]=>0110000=>5
[6,4,3,2,1,5,7,8]=>1111000=>7
[6,3,4,2,1,5,7,8]=>1011000=>6
[6,4,3,1,2,5,7,8]=>1110000=>7
[6,4,2,1,3,5,7,8]=>1110000=>7
[6,4,1,2,3,5,7,8]=>1100000=>7
[6,3,2,1,4,5,7,8]=>1110000=>7
[6,2,3,1,4,5,7,8]=>1010000=>7
[6,3,1,2,4,5,7,8]=>1100000=>7
[6,2,1,3,4,5,7,8]=>1100000=>7
[6,1,2,3,4,5,7,8]=>1000000=>7
[5,4,3,2,1,6,7,8]=>1111000=>7
[4,5,3,2,1,6,7,8]=>0111000=>4
[5,3,4,2,1,6,7,8]=>1011000=>6
[4,3,5,2,1,6,7,8]=>1011000=>6
[3,4,5,2,1,6,7,8]=>0011000=>4
[5,4,2,3,1,6,7,8]=>1101000=>7
[4,5,2,3,1,6,7,8]=>0101000=>5
[5,3,2,4,1,6,7,8]=>1101000=>7
[5,2,3,4,1,6,7,8]=>1001000=>7
[4,3,2,5,1,6,7,8]=>1101000=>7
[3,4,2,5,1,6,7,8]=>0101000=>5
[4,2,3,5,1,6,7,8]=>1001000=>7
[3,2,4,5,1,6,7,8]=>1001000=>7
[2,3,4,5,1,6,7,8]=>0001000=>4
[5,4,3,1,2,6,7,8]=>1110000=>7
[5,3,4,1,2,6,7,8]=>1010000=>7
[4,3,5,1,2,6,7,8]=>1010000=>7
[3,4,5,1,2,6,7,8]=>0010000=>5
[5,4,2,1,3,6,7,8]=>1110000=>7
[4,5,2,1,3,6,7,8]=>0110000=>5
[5,4,1,2,3,6,7,8]=>1100000=>7
[4,5,1,2,3,6,7,8]=>0100000=>6
[5,3,2,1,4,6,7,8]=>1110000=>7
[5,2,3,1,4,6,7,8]=>1010000=>7
[5,3,1,2,4,6,7,8]=>1100000=>7
[5,2,1,3,4,6,7,8]=>1100000=>7
[5,1,2,3,4,6,7,8]=>1000000=>7
[4,3,2,1,5,6,7,8]=>1110000=>7
[3,4,2,1,5,6,7,8]=>0110000=>5
[4,2,3,1,5,6,7,8]=>1010000=>7
[3,2,4,1,5,6,7,8]=>1010000=>7
[2,3,4,1,5,6,7,8]=>0010000=>5
[4,3,1,2,5,6,7,8]=>1100000=>7
[3,4,1,2,5,6,7,8]=>0100000=>6
[4,2,1,3,5,6,7,8]=>1100000=>7
[4,1,2,3,5,6,7,8]=>1000000=>7
[3,2,1,4,5,6,7,8]=>1100000=>7
[2,3,1,4,5,6,7,8]=>0100000=>6
[3,1,2,4,5,6,7,8]=>1000000=>7
[2,1,3,4,5,6,7,8]=>1000000=>7
[1,2,3,4,5,6,7,8]=>0000000=>7
[6,8,7,5,4,3,2,1]=>0111111=>1
[5,8,7,6,4,3,2,1]=>0111111=>1
[5,7,8,6,4,3,2,1]=>0011111=>1
[6,5,8,7,4,3,2,1]=>1011111=>2
[5,6,8,7,4,3,2,1]=>0011111=>1
[5,7,6,8,4,3,2,1]=>0101111=>1
[4,8,7,6,5,3,2,1]=>0111111=>1
[4,7,8,6,5,3,2,1]=>0011111=>1
[4,6,8,7,5,3,2,1]=>0011111=>1
[4,7,6,8,5,3,2,1]=>0101111=>1
[4,6,7,8,5,3,2,1]=>0001111=>1
[5,4,7,8,6,3,2,1]=>1001111=>3
[4,5,8,7,6,3,2,1]=>0011111=>1
[4,5,7,8,6,3,2,1]=>0001111=>1
[6,5,4,8,7,3,2,1]=>1101111=>3
[5,6,4,8,7,3,2,1]=>0101111=>1
[4,6,5,8,7,3,2,1]=>0101111=>1
[4,5,6,8,7,3,2,1]=>0001111=>1
[5,7,6,4,8,3,2,1]=>0110111=>1
[4,7,6,5,8,3,2,1]=>0110111=>1
[4,6,7,5,8,3,2,1]=>0010111=>1
[5,4,7,6,8,3,2,1]=>1010111=>3
[4,5,7,6,8,3,2,1]=>0010111=>1
[4,6,5,7,8,3,2,1]=>0100111=>2
[3,8,7,6,5,4,2,1]=>0111111=>1
[3,7,8,6,5,4,2,1]=>0011111=>1
[3,6,8,7,5,4,2,1]=>0011111=>1
[3,7,6,8,5,4,2,1]=>0101111=>1
[3,5,8,7,6,4,2,1]=>0011111=>1
[3,5,7,8,6,4,2,1]=>0001111=>1
[3,5,6,8,7,4,2,1]=>0001111=>1
[3,7,6,5,8,4,2,1]=>0110111=>1
[3,6,7,5,8,4,2,1]=>0010111=>1
[3,5,7,6,8,4,2,1]=>0010111=>1
[3,5,6,7,8,4,2,1]=>0000111=>1
[4,3,8,7,6,5,2,1]=>1011111=>2
[4,3,7,8,6,5,2,1]=>1001111=>3
[4,3,6,7,8,5,2,1]=>1000111=>4
[3,4,8,7,6,5,2,1]=>0011111=>1
[3,4,6,7,8,5,2,1]=>0000111=>1
[5,4,3,8,7,6,2,1]=>1101111=>3
[5,4,3,7,8,6,2,1]=>1100111=>4
[3,5,4,7,8,6,2,1]=>0100111=>2
[3,4,5,8,7,6,2,1]=>0001111=>1
[3,4,5,7,8,6,2,1]=>0000111=>1
[6,5,4,3,8,7,2,1]=>1110111=>4
[5,6,4,3,8,7,2,1]=>0110111=>1
[4,5,6,3,8,7,2,1]=>0010111=>1
[4,3,6,5,8,7,2,1]=>1010111=>3
[5,4,3,6,8,7,2,1]=>1100111=>4
[4,5,3,6,8,7,2,1]=>0100111=>2
[3,4,5,6,8,7,2,1]=>0000111=>1
[5,7,6,4,3,8,2,1]=>0111011=>2
[4,7,6,5,3,8,2,1]=>0111011=>2
[5,4,7,6,3,8,2,1]=>1011011=>3
[3,7,6,5,4,8,2,1]=>0111011=>2
[3,5,7,6,4,8,2,1]=>0011011=>1
[3,5,6,7,4,8,2,1]=>0001011=>1
[4,3,7,6,5,8,2,1]=>1011011=>3
[3,4,7,6,5,8,2,1]=>0011011=>1
[3,4,6,7,5,8,2,1]=>0001011=>1
[4,5,3,7,6,8,2,1]=>0101011=>1
[3,5,4,7,6,8,2,1]=>0101011=>1
[4,3,5,7,6,8,2,1]=>1001011=>4
[3,4,5,7,6,8,2,1]=>0001011=>1
[3,6,5,4,7,8,2,1]=>0110011=>2
[3,5,6,4,7,8,2,1]=>0010011=>1
[4,3,6,5,7,8,2,1]=>1010011=>5
[3,4,6,5,7,8,2,1]=>0010011=>1
[3,5,4,6,7,8,2,1]=>0100011=>3
[2,8,7,6,5,4,3,1]=>0111111=>1
[2,7,8,6,5,4,3,1]=>0011111=>1
[2,6,8,7,5,4,3,1]=>0011111=>1
[2,7,6,8,5,4,3,1]=>0101111=>1
[2,6,7,8,5,4,3,1]=>0001111=>1
[2,5,8,7,6,4,3,1]=>0011111=>1
[2,6,7,5,8,4,3,1]=>0010111=>1
[2,6,5,7,8,4,3,1]=>0100111=>2
[2,5,6,7,8,4,3,1]=>0000111=>1
[2,4,8,7,6,5,3,1]=>0011111=>1
[2,4,7,8,6,5,3,1]=>0001111=>1
[2,4,6,8,7,5,3,1]=>0001111=>1
[2,4,6,7,8,5,3,1]=>0000111=>1
[2,5,4,8,7,6,3,1]=>0101111=>1
[2,5,4,7,8,6,3,1]=>0100111=>2
[2,4,5,7,8,6,3,1]=>0000111=>1
[2,6,5,4,8,7,3,1]=>0110111=>1
[2,5,6,4,8,7,3,1]=>0010111=>1
[2,4,6,5,8,7,3,1]=>0010111=>1
[2,4,5,6,8,7,3,1]=>0000111=>1
[2,7,6,5,4,8,3,1]=>0111011=>2
[2,6,7,5,4,8,3,1]=>0011011=>1
[2,5,6,7,4,8,3,1]=>0001011=>1
[2,4,7,6,5,8,3,1]=>0011011=>1
[2,4,6,7,5,8,3,1]=>0001011=>1
[2,5,4,7,6,8,3,1]=>0101011=>1
[2,6,5,4,7,8,3,1]=>0110011=>2
[2,5,6,4,7,8,3,1]=>0010011=>1
[2,4,6,5,7,8,3,1]=>0010011=>1
[2,5,4,6,7,8,3,1]=>0100011=>3
[2,4,5,6,7,8,3,1]=>0000011=>1
[3,2,8,7,6,5,4,1]=>1011111=>2
[3,2,6,8,7,5,4,1]=>1001111=>3
[3,2,5,7,8,6,4,1]=>1000111=>4
[3,2,6,5,8,7,4,1]=>1010111=>3
[3,2,5,7,6,8,4,1]=>1001011=>4
[3,2,5,6,7,8,4,1]=>1000011=>5
[2,3,8,7,6,5,4,1]=>0011111=>1
[2,3,6,7,8,5,4,1]=>0000111=>1
[2,3,5,7,8,6,4,1]=>0000111=>1
[2,3,6,5,8,7,4,1]=>0010111=>1
[2,3,5,6,8,7,4,1]=>0000111=>1
[2,3,7,6,5,8,4,1]=>0011011=>1
[2,3,5,7,6,8,4,1]=>0001011=>1
[2,3,5,6,7,8,4,1]=>0000011=>1
[4,3,2,8,7,6,5,1]=>1101111=>3
[4,3,2,7,8,6,5,1]=>1100111=>4
[3,4,2,8,7,6,5,1]=>0101111=>1
[3,4,2,7,8,6,5,1]=>0100111=>2
[2,4,3,8,7,6,5,1]=>0101111=>1
[2,4,3,6,8,7,5,1]=>0100111=>2
[2,4,3,6,7,8,5,1]=>0100011=>3
[3,2,4,8,7,6,5,1]=>1001111=>3
[3,2,4,7,8,6,5,1]=>1000111=>4
[2,3,4,8,7,6,5,1]=>0001111=>1
[2,3,4,7,8,6,5,1]=>0000111=>1
[2,3,4,6,8,7,5,1]=>0000111=>1
[2,3,4,7,6,8,5,1]=>0001011=>1
[2,3,4,6,7,8,5,1]=>0000011=>1
[5,4,3,2,8,7,6,1]=>1110111=>4
[5,4,3,2,7,8,6,1]=>1110011=>5
[3,5,4,2,7,8,6,1]=>0110011=>2
[3,4,5,2,7,8,6,1]=>0010011=>1
[2,5,4,3,8,7,6,1]=>0110111=>1
[2,5,4,3,7,8,6,1]=>0110011=>2
[2,4,5,3,8,7,6,1]=>0010111=>1
[2,4,5,3,7,8,6,1]=>0010011=>1
[3,2,5,4,7,8,6,1]=>1010011=>5
[2,3,5,4,8,7,6,1]=>0010111=>1
[2,3,5,4,7,8,6,1]=>0010011=>1
[4,3,2,5,8,7,6,1]=>1100111=>4
[4,3,2,5,7,8,6,1]=>1100011=>5
[3,4,2,5,8,7,6,1]=>0100111=>2
[3,4,2,5,7,8,6,1]=>0100011=>3
[2,4,3,5,8,7,6,1]=>0100111=>2
[3,2,4,5,7,8,6,1]=>1000011=>5
[2,3,4,5,8,7,6,1]=>0000111=>1
[2,3,4,5,7,8,6,1]=>0000011=>1
[6,5,4,3,2,8,7,1]=>1111011=>5
[4,6,5,3,2,8,7,1]=>0111011=>2
[5,4,6,3,2,8,7,1]=>1011011=>3
[4,5,6,3,2,8,7,1]=>0011011=>1
[3,6,5,4,2,8,7,1]=>0111011=>2
[3,5,6,4,2,8,7,1]=>0011011=>1
[4,3,6,5,2,8,7,1]=>1011011=>3
[5,4,3,6,2,8,7,1]=>1101011=>5
[4,5,3,6,2,8,7,1]=>0101011=>1
[3,5,4,6,2,8,7,1]=>0101011=>1
[3,4,5,6,2,8,7,1]=>0001011=>1
[2,6,5,4,3,8,7,1]=>0111011=>2
[2,4,6,5,3,8,7,1]=>0011011=>1
[2,4,5,6,3,8,7,1]=>0001011=>1
[3,2,6,5,4,8,7,1]=>1011011=>3
[2,3,5,6,4,8,7,1]=>0001011=>1
[4,3,2,6,5,8,7,1]=>1101011=>5
[2,4,3,6,5,8,7,1]=>0101011=>1
[3,2,4,6,5,8,7,1]=>1001011=>4
[2,3,4,6,5,8,7,1]=>0001011=>1
[5,4,3,2,6,8,7,1]=>1110011=>5
[4,5,3,2,6,8,7,1]=>0110011=>2
[2,5,4,3,6,8,7,1]=>0110011=>2
[2,4,5,3,6,8,7,1]=>0010011=>1
[3,2,5,4,6,8,7,1]=>1010011=>5
[4,3,2,5,6,8,7,1]=>1100011=>5
[3,4,2,5,6,8,7,1]=>0100011=>3
[2,4,3,5,6,8,7,1]=>0100011=>3
[3,2,4,5,6,8,7,1]=>1000011=>5
[2,3,4,5,6,8,7,1]=>0000011=>1
[5,7,6,4,3,2,8,1]=>0111101=>2
[4,7,6,5,3,2,8,1]=>0111101=>2
[4,6,7,5,3,2,8,1]=>0011101=>1
[4,6,5,7,3,2,8,1]=>0101101=>2
[3,5,7,6,4,2,8,1]=>0011101=>1
[3,5,6,7,4,2,8,1]=>0001101=>1
[4,3,7,6,5,2,8,1]=>1011101=>4
[4,3,6,7,5,2,8,1]=>1001101=>4
[3,4,7,6,5,2,8,1]=>0011101=>1
[3,4,6,7,5,2,8,1]=>0001101=>1
[5,4,3,7,6,2,8,1]=>1101101=>5
[4,5,3,7,6,2,8,1]=>0101101=>2
[3,5,4,7,6,2,8,1]=>0101101=>2
[3,4,5,7,6,2,8,1]=>0001101=>1
[4,6,5,3,7,2,8,1]=>0110101=>3
[3,6,5,4,7,2,8,1]=>0110101=>3
[3,5,6,4,7,2,8,1]=>0010101=>1
[4,3,6,5,7,2,8,1]=>1010101=>4
[3,4,6,5,7,2,8,1]=>0010101=>1
[3,5,4,6,7,2,8,1]=>0100101=>2
[2,7,6,5,4,3,8,1]=>0111101=>2
[2,6,5,7,4,3,8,1]=>0101101=>2
[2,5,6,7,4,3,8,1]=>0001101=>1
[2,4,6,7,5,3,8,1]=>0001101=>1
[2,5,4,7,6,3,8,1]=>0101101=>2
[2,4,6,5,7,3,8,1]=>0010101=>1
[2,5,4,6,7,3,8,1]=>0100101=>2
[2,4,5,6,7,3,8,1]=>0000101=>1
[3,2,7,6,5,4,8,1]=>1011101=>4
[3,2,6,7,5,4,8,1]=>1001101=>4
[3,2,5,7,6,4,8,1]=>1001101=>4
[3,2,6,5,7,4,8,1]=>1010101=>4
[3,2,5,6,7,4,8,1]=>1000101=>5
[2,3,7,6,5,4,8,1]=>0011101=>1
[2,3,5,7,6,4,8,1]=>0001101=>1
[2,3,5,6,7,4,8,1]=>0000101=>1
[4,3,2,7,6,5,8,1]=>1101101=>5
[4,3,2,6,7,5,8,1]=>1100101=>6
[3,4,2,7,6,5,8,1]=>0101101=>2
[3,4,2,6,7,5,8,1]=>0100101=>2
[2,4,3,7,6,5,8,1]=>0101101=>2
[2,4,3,6,7,5,8,1]=>0100101=>2
[3,2,4,7,6,5,8,1]=>1001101=>4
[2,3,4,7,6,5,8,1]=>0001101=>1
[2,3,4,6,7,5,8,1]=>0000101=>1
[5,4,3,2,7,6,8,1]=>1110101=>6
[3,5,4,2,7,6,8,1]=>0110101=>3
[4,3,5,2,7,6,8,1]=>1010101=>4
[3,4,5,2,7,6,8,1]=>0010101=>1
[2,5,4,3,7,6,8,1]=>0110101=>3
[3,2,5,4,7,6,8,1]=>1010101=>4
[2,3,5,4,7,6,8,1]=>0010101=>1
[4,3,2,5,7,6,8,1]=>1100101=>6
[3,4,2,5,7,6,8,1]=>0100101=>2
[2,4,3,5,7,6,8,1]=>0100101=>2
[3,2,4,5,7,6,8,1]=>1000101=>5
[2,3,4,5,7,6,8,1]=>0000101=>1
[3,6,5,4,2,7,8,1]=>0111001=>3
[3,5,6,4,2,7,8,1]=>0011001=>2
[3,4,6,5,2,7,8,1]=>0011001=>2
[3,5,4,6,2,7,8,1]=>0101001=>3
[2,6,5,4,3,7,8,1]=>0111001=>3
[2,5,6,4,3,7,8,1]=>0011001=>2
[2,4,6,5,3,7,8,1]=>0011001=>2
[2,5,4,6,3,7,8,1]=>0101001=>3
[2,4,5,6,3,7,8,1]=>0001001=>1
[3,2,5,6,4,7,8,1]=>1001001=>5
[2,3,6,5,4,7,8,1]=>0011001=>2
[2,3,5,6,4,7,8,1]=>0001001=>1
[4,3,2,6,5,7,8,1]=>1101001=>6
[3,4,2,6,5,7,8,1]=>0101001=>3
[2,4,3,6,5,7,8,1]=>0101001=>3
[2,3,4,6,5,7,8,1]=>0001001=>1
[3,5,4,2,6,7,8,1]=>0110001=>4
[2,5,4,3,6,7,8,1]=>0110001=>4
[2,4,5,3,6,7,8,1]=>0010001=>2
[3,2,5,4,6,7,8,1]=>1010001=>6
[2,3,5,4,6,7,8,1]=>0010001=>2
[2,4,3,5,6,7,8,1]=>0100001=>4
[1,8,7,6,5,4,3,2]=>0111111=>1
[1,7,8,6,5,4,3,2]=>0011111=>1
[1,6,8,7,5,4,3,2]=>0011111=>1
[1,7,6,8,5,4,3,2]=>0101111=>1
[1,6,7,8,5,4,3,2]=>0001111=>1
[1,5,8,7,6,4,3,2]=>0011111=>1
[1,6,5,8,7,4,3,2]=>0101111=>1
[1,7,6,5,8,4,3,2]=>0110111=>1
[1,6,7,5,8,4,3,2]=>0010111=>1
[1,5,7,6,8,4,3,2]=>0010111=>1
[1,6,5,7,8,4,3,2]=>0100111=>2
[1,5,6,7,8,4,3,2]=>0000111=>1
[1,4,8,7,6,5,3,2]=>0011111=>1
[1,4,7,8,6,5,3,2]=>0001111=>1
[1,4,6,8,7,5,3,2]=>0001111=>1
[1,4,6,7,8,5,3,2]=>0000111=>1
[1,5,4,7,8,6,3,2]=>0100111=>2
[1,4,5,8,7,6,3,2]=>0001111=>1
[1,4,5,7,8,6,3,2]=>0000111=>1
[1,6,5,4,8,7,3,2]=>0110111=>1
[1,4,6,5,8,7,3,2]=>0010111=>1
[1,7,6,5,4,8,3,2]=>0111011=>2
[1,4,7,6,5,8,3,2]=>0011011=>1
[1,4,6,7,5,8,3,2]=>0001011=>1
[1,6,5,4,7,8,3,2]=>0110011=>2
[1,5,6,4,7,8,3,2]=>0010011=>1
[1,5,4,6,7,8,3,2]=>0100011=>3
[1,4,5,6,7,8,3,2]=>0000011=>1
[1,3,8,7,6,5,4,2]=>0011111=>1
[1,3,7,8,6,5,4,2]=>0001111=>1
[1,3,6,8,7,5,4,2]=>0001111=>1
[1,3,6,7,8,5,4,2]=>0000111=>1
[1,3,5,8,7,6,4,2]=>0001111=>1
[1,3,5,7,8,6,4,2]=>0000111=>1
[1,3,5,6,8,7,4,2]=>0000111=>1
[1,3,6,7,5,8,4,2]=>0001011=>1
[1,3,5,7,6,8,4,2]=>0001011=>1
[1,3,6,5,7,8,4,2]=>0010011=>1
[1,3,5,6,7,8,4,2]=>0000011=>1
[1,4,3,8,7,6,5,2]=>0101111=>1
[1,4,3,7,8,6,5,2]=>0100111=>2
[1,4,3,6,8,7,5,2]=>0100111=>2
[1,4,3,7,6,8,5,2]=>0101011=>1
[1,4,3,6,7,8,5,2]=>0100011=>3
[1,3,4,8,7,6,5,2]=>0001111=>1
[1,3,4,7,6,8,5,2]=>0001011=>1
[1,3,4,6,7,8,5,2]=>0000011=>1
[1,5,4,3,8,7,6,2]=>0110111=>1
[1,4,5,3,8,7,6,2]=>0010111=>1
[1,4,5,3,7,8,6,2]=>0010011=>1
[1,3,5,4,8,7,6,2]=>0010111=>1
[1,3,5,4,7,8,6,2]=>0010011=>1
[1,4,3,5,8,7,6,2]=>0100111=>2
[1,4,3,5,7,8,6,2]=>0100011=>3
[1,3,4,5,8,7,6,2]=>0000111=>1
[1,3,4,5,7,8,6,2]=>0000011=>1
[1,6,5,4,3,8,7,2]=>0111011=>2
[1,5,6,4,3,8,7,2]=>0011011=>1
[1,4,6,5,3,8,7,2]=>0011011=>1
[1,4,5,6,3,8,7,2]=>0001011=>1
[1,3,6,5,4,8,7,2]=>0011011=>1
[1,4,3,6,5,8,7,2]=>0101011=>1
[1,5,4,3,6,8,7,2]=>0110011=>2
[1,4,5,3,6,8,7,2]=>0010011=>1
[1,3,4,5,6,8,7,2]=>0000011=>1
[1,7,6,5,4,3,8,2]=>0111101=>2
[1,6,7,5,4,3,8,2]=>0011101=>1
[1,6,5,7,4,3,8,2]=>0101101=>2
[1,4,6,7,5,3,8,2]=>0001101=>1
[1,5,6,4,7,3,8,2]=>0010101=>1
[1,4,6,5,7,3,8,2]=>0010101=>1
[1,5,4,6,7,3,8,2]=>0100101=>2
[1,4,5,6,7,3,8,2]=>0000101=>1
[1,3,5,7,6,4,8,2]=>0001101=>1
[1,3,6,5,7,4,8,2]=>0010101=>1
[1,3,5,6,7,4,8,2]=>0000101=>1
[1,4,3,6,7,5,8,2]=>0100101=>2
[1,3,4,7,6,5,8,2]=>0001101=>1
[1,3,4,6,7,5,8,2]=>0000101=>1
[1,3,5,4,7,6,8,2]=>0010101=>1
[1,3,4,5,7,6,8,2]=>0000101=>1
[1,6,5,4,3,7,8,2]=>0111001=>3
[1,5,4,6,3,7,8,2]=>0101001=>3
[1,3,5,6,4,7,8,2]=>0001001=>1
[1,4,3,6,5,7,8,2]=>0101001=>3
[1,3,4,6,5,7,8,2]=>0001001=>1
[1,5,4,3,6,7,8,2]=>0110001=>4
[1,4,5,3,6,7,8,2]=>0010001=>2
[1,3,5,4,6,7,8,2]=>0010001=>2
[1,4,3,5,6,7,8,2]=>0100001=>4
[1,3,4,5,6,7,8,2]=>0000001=>1
[2,1,8,7,6,5,4,3]=>1011111=>2
[2,1,7,8,6,5,4,3]=>1001111=>3
[2,1,6,8,7,5,4,3]=>1001111=>3
[2,1,7,6,8,5,4,3]=>1010111=>3
[2,1,6,7,8,5,4,3]=>1000111=>4
[2,1,5,8,7,6,4,3]=>1001111=>3
[2,1,5,7,8,6,4,3]=>1000111=>4
[2,1,6,5,8,7,4,3]=>1010111=>3
[2,1,5,6,8,7,4,3]=>1000111=>4
[2,1,7,6,5,8,4,3]=>1011011=>3
[2,1,6,7,5,8,4,3]=>1001011=>4
[2,1,5,7,6,8,4,3]=>1001011=>4
[2,1,6,5,7,8,4,3]=>1010011=>5
[2,1,5,6,7,8,4,3]=>1000011=>5
[2,1,4,8,7,6,5,3]=>1001111=>3
[2,1,4,7,8,6,5,3]=>1000111=>4
[2,1,4,6,8,7,5,3]=>1000111=>4
[2,1,4,7,6,8,5,3]=>1001011=>4
[2,1,4,6,7,8,5,3]=>1000011=>5
[2,1,5,4,8,7,6,3]=>1010111=>3
[2,1,5,4,7,8,6,3]=>1010011=>5
[2,1,4,5,8,7,6,3]=>1000111=>4
[2,1,4,5,7,8,6,3]=>1000011=>5
[2,1,6,5,4,8,7,3]=>1011011=>3
[2,1,5,6,4,8,7,3]=>1001011=>4
[2,1,4,6,5,8,7,3]=>1001011=>4
[2,1,5,4,6,8,7,3]=>1010011=>5
[2,1,4,5,6,8,7,3]=>1000011=>5
[2,1,7,6,5,4,8,3]=>1011101=>4
[2,1,6,7,5,4,8,3]=>1001101=>4
[2,1,5,7,6,4,8,3]=>1001101=>4
[2,1,6,5,7,4,8,3]=>1010101=>4
[2,1,5,6,7,4,8,3]=>1000101=>5
[2,1,4,7,6,5,8,3]=>1001101=>4
[2,1,4,6,7,5,8,3]=>1000101=>5
[2,1,5,4,7,6,8,3]=>1010101=>4
[2,1,5,6,4,7,8,3]=>1001001=>5
[2,1,5,4,6,7,8,3]=>1010001=>6
[2,1,4,5,6,7,8,3]=>1000001=>6
[1,2,8,7,6,5,4,3]=>0011111=>1
[1,2,7,8,6,5,4,3]=>0001111=>1
[1,2,7,6,8,5,4,3]=>0010111=>1
[1,2,6,7,8,5,4,3]=>0000111=>1
[1,2,5,8,7,6,4,3]=>0001111=>1
[1,2,6,5,8,7,4,3]=>0010111=>1
[1,2,5,6,8,7,4,3]=>0000111=>1
[1,2,7,6,5,8,4,3]=>0011011=>1
[1,2,5,7,6,8,4,3]=>0001011=>1
[1,2,6,5,7,8,4,3]=>0010011=>1
[1,2,5,6,7,8,4,3]=>0000011=>1
[1,2,4,8,7,6,5,3]=>0001111=>1
[1,2,4,7,8,6,5,3]=>0000111=>1
[1,2,4,6,8,7,5,3]=>0000111=>1
[1,2,4,7,6,8,5,3]=>0001011=>1
[1,2,4,6,7,8,5,3]=>0000011=>1
[1,2,5,4,8,7,6,3]=>0010111=>1
[1,2,4,5,8,7,6,3]=>0000111=>1
[1,2,4,5,7,8,6,3]=>0000011=>1
[1,2,6,5,4,8,7,3]=>0011011=>1
[1,2,5,4,6,8,7,3]=>0010011=>1
[1,2,4,5,6,8,7,3]=>0000011=>1
[1,2,7,6,5,4,8,3]=>0011101=>1
[1,2,5,7,6,4,8,3]=>0001101=>1
[1,2,5,6,7,4,8,3]=>0000101=>1
[1,2,4,7,6,5,8,3]=>0001101=>1
[1,2,5,4,7,6,8,3]=>0010101=>1
[1,2,6,5,4,7,8,3]=>0011001=>2
[1,2,5,6,4,7,8,3]=>0001001=>1
[1,2,4,6,5,7,8,3]=>0001001=>1
[1,2,5,4,6,7,8,3]=>0010001=>2
[1,2,4,5,6,7,8,3]=>0000001=>1
[3,2,1,8,7,6,5,4]=>1101111=>3
[3,2,1,7,8,6,5,4]=>1100111=>4
[3,2,1,6,8,7,5,4]=>1100111=>4
[3,2,1,7,6,8,5,4]=>1101011=>5
[3,2,1,6,7,8,5,4]=>1100011=>5
[3,2,1,5,8,7,6,4]=>1100111=>4
[3,2,1,5,7,8,6,4]=>1100011=>5
[3,2,1,6,5,8,7,4]=>1101011=>5
[3,2,1,5,6,8,7,4]=>1100011=>5
[3,2,1,7,6,5,8,4]=>1101101=>5
[3,2,1,6,7,5,8,4]=>1100101=>6
[3,2,1,5,7,6,8,4]=>1100101=>6
[3,2,1,6,5,7,8,4]=>1101001=>6
[3,2,1,5,6,7,8,4]=>1100001=>6
[2,3,1,8,7,6,5,4]=>0101111=>1
[2,3,1,7,8,6,5,4]=>0100111=>2
[2,3,1,6,8,7,5,4]=>0100111=>2
[2,3,1,7,6,8,5,4]=>0101011=>1
[2,3,1,6,7,8,5,4]=>0100011=>3
[2,3,1,5,7,8,6,4]=>0100011=>3
[2,3,1,6,5,8,7,4]=>0101011=>1
[2,3,1,7,6,5,8,4]=>0101101=>2
[2,3,1,6,7,5,8,4]=>0100101=>2
[2,3,1,5,7,6,8,4]=>0100101=>2
[2,3,1,5,6,7,8,4]=>0100001=>4
[1,3,2,8,7,6,5,4]=>0101111=>1
[1,3,2,6,8,7,5,4]=>0100111=>2
[1,3,2,7,6,8,5,4]=>0101011=>1
[1,3,2,6,7,8,5,4]=>0100011=>3
[1,3,2,5,8,7,6,4]=>0100111=>2
[1,3,2,5,7,8,6,4]=>0100011=>3
[1,3,2,6,5,8,7,4]=>0101011=>1
[1,3,2,5,6,8,7,4]=>0100011=>3
[1,3,2,7,6,5,8,4]=>0101101=>2
[1,3,2,6,7,5,8,4]=>0100101=>2
[1,3,2,5,7,6,8,4]=>0100101=>2
[1,3,2,6,5,7,8,4]=>0101001=>3
[1,3,2,5,6,7,8,4]=>0100001=>4
[2,1,3,8,7,6,5,4]=>1001111=>3
[2,1,3,7,8,6,5,4]=>1000111=>4
[2,1,3,6,8,7,5,4]=>1000111=>4
[2,1,3,6,7,8,5,4]=>1000011=>5
[2,1,3,6,5,8,7,4]=>1001011=>4
[2,1,3,5,7,6,8,4]=>1000101=>5
[2,1,3,5,6,7,8,4]=>1000001=>6
[1,2,3,8,7,6,5,4]=>0001111=>1
[1,2,3,7,8,6,5,4]=>0000111=>1
[1,2,3,6,8,7,5,4]=>0000111=>1
[1,2,3,7,6,8,5,4]=>0001011=>1
[1,2,3,6,7,8,5,4]=>0000011=>1
[1,2,3,5,8,7,6,4]=>0000111=>1
[1,2,3,5,7,8,6,4]=>0000011=>1
[1,2,3,6,5,8,7,4]=>0001011=>1
[1,2,3,5,6,8,7,4]=>0000011=>1
[1,2,3,7,6,5,8,4]=>0001101=>1
[1,2,3,6,7,5,8,4]=>0000101=>1
[1,2,3,5,7,6,8,4]=>0000101=>1
[1,2,3,6,5,7,8,4]=>0001001=>1
[1,2,3,5,6,7,8,4]=>0000001=>1
[4,3,2,1,8,7,6,5]=>1110111=>4
[4,3,2,1,7,8,6,5]=>1110011=>5
[4,3,2,1,6,8,7,5]=>1110011=>5
[4,3,2,1,7,6,8,5]=>1110101=>6
[4,3,2,1,6,7,8,5]=>1110001=>6
[3,4,2,1,8,7,6,5]=>0110111=>1
[3,4,2,1,7,8,6,5]=>0110011=>2
[3,4,2,1,6,8,7,5]=>0110011=>2
[3,4,2,1,7,6,8,5]=>0110101=>3
[3,4,2,1,6,7,8,5]=>0110001=>4
[2,4,3,1,8,7,6,5]=>0110111=>1
[2,4,3,1,7,8,6,5]=>0110011=>2
[2,4,3,1,6,8,7,5]=>0110011=>2
[2,4,3,1,7,6,8,5]=>0110101=>3
[2,4,3,1,6,7,8,5]=>0110001=>4
[3,2,4,1,8,7,6,5]=>1010111=>3
[3,2,4,1,7,8,6,5]=>1010011=>5
[3,2,4,1,6,8,7,5]=>1010011=>5
[3,2,4,1,7,6,8,5]=>1010101=>4
[3,2,4,1,6,7,8,5]=>1010001=>6
[2,3,4,1,8,7,6,5]=>0010111=>1
[2,3,4,1,7,8,6,5]=>0010011=>1
[2,3,4,1,6,8,7,5]=>0010011=>1
[2,3,4,1,7,6,8,5]=>0010101=>1
[2,3,4,1,6,7,8,5]=>0010001=>2
[1,4,3,2,8,7,6,5]=>0110111=>1
[1,4,3,2,6,8,7,5]=>0110011=>2
[1,4,3,2,7,6,8,5]=>0110101=>3
[1,4,3,2,6,7,8,5]=>0110001=>4
[1,3,4,2,8,7,6,5]=>0010111=>1
[1,3,4,2,7,8,6,5]=>0010011=>1
[1,3,4,2,6,8,7,5]=>0010011=>1
[1,3,4,2,7,6,8,5]=>0010101=>1
[1,3,4,2,6,7,8,5]=>0010001=>2
[2,1,4,3,8,7,6,5]=>1010111=>3
[2,1,4,3,7,8,6,5]=>1010011=>5
[2,1,4,3,6,8,7,5]=>1010011=>5
[2,1,4,3,7,6,8,5]=>1010101=>4
[2,1,4,3,6,7,8,5]=>1010001=>6
[1,2,4,3,8,7,6,5]=>0010111=>1
[1,2,4,3,7,8,6,5]=>0010011=>1
[1,2,4,3,6,8,7,5]=>0010011=>1
[1,2,4,3,7,6,8,5]=>0010101=>1
[1,2,4,3,6,7,8,5]=>0010001=>2
[3,2,1,4,8,7,6,5]=>1100111=>4
[3,2,1,4,7,8,6,5]=>1100011=>5
[3,2,1,4,6,8,7,5]=>1100011=>5
[3,2,1,4,7,6,8,5]=>1100101=>6
[3,2,1,4,6,7,8,5]=>1100001=>6
[2,3,1,4,8,7,6,5]=>0100111=>2
[2,3,1,4,7,8,6,5]=>0100011=>3
[2,3,1,4,7,6,8,5]=>0100101=>2
[2,3,1,4,6,7,8,5]=>0100001=>4
[1,3,2,4,8,7,6,5]=>0100111=>2
[1,3,2,4,6,8,7,5]=>0100011=>3
[1,3,2,4,7,6,8,5]=>0100101=>2
[1,3,2,4,6,7,8,5]=>0100001=>4
[2,1,3,4,8,7,6,5]=>1000111=>4
[2,1,3,4,7,8,6,5]=>1000011=>5
[2,1,3,4,7,6,8,5]=>1000101=>5
[2,1,3,4,6,7,8,5]=>1000001=>6
[1,2,3,4,8,7,6,5]=>0000111=>1
[1,2,3,4,7,8,6,5]=>0000011=>1
[1,2,3,4,6,8,7,5]=>0000011=>1
[1,2,3,4,7,6,8,5]=>0000101=>1
[1,2,3,4,6,7,8,5]=>0000001=>1
[5,4,3,2,1,8,7,6]=>1111011=>5
[5,4,3,2,1,7,8,6]=>1111001=>6
[4,5,3,2,1,8,7,6]=>0111011=>2
[3,5,4,2,1,8,7,6]=>0111011=>2
[3,5,4,2,1,7,8,6]=>0111001=>3
[4,3,5,2,1,8,7,6]=>1011011=>3
[3,4,5,2,1,8,7,6]=>0011011=>1
[3,4,5,2,1,7,8,6]=>0011001=>2
[2,5,4,3,1,8,7,6]=>0111011=>2
[2,5,4,3,1,7,8,6]=>0111001=>3
[2,4,5,3,1,8,7,6]=>0011011=>1
[2,4,5,3,1,7,8,6]=>0011001=>2
[3,2,5,4,1,8,7,6]=>1011011=>3
[3,2,5,4,1,7,8,6]=>1011001=>5
[2,3,5,4,1,8,7,6]=>0011011=>1
[4,3,2,5,1,8,7,6]=>1101011=>5
[4,3,2,5,1,7,8,6]=>1101001=>6
[3,4,2,5,1,8,7,6]=>0101011=>1
[3,4,2,5,1,7,8,6]=>0101001=>3
[2,4,3,5,1,8,7,6]=>0101011=>1
[2,4,3,5,1,7,8,6]=>0101001=>3
[3,2,4,5,1,8,7,6]=>1001011=>4
[2,3,4,5,1,8,7,6]=>0001011=>1
[2,3,4,5,1,7,8,6]=>0001001=>1
[1,5,4,3,2,8,7,6]=>0111011=>2
[1,5,4,3,2,7,8,6]=>0111001=>3
[1,4,5,3,2,8,7,6]=>0011011=>1
[1,4,5,3,2,7,8,6]=>0011001=>2
[1,3,5,4,2,7,8,6]=>0011001=>2
[1,4,3,5,2,8,7,6]=>0101011=>1
[1,4,3,5,2,7,8,6]=>0101001=>3
[1,3,4,5,2,8,7,6]=>0001011=>1
[1,3,4,5,2,7,8,6]=>0001001=>1
[2,1,5,4,3,8,7,6]=>1011011=>3
[2,1,4,5,3,8,7,6]=>1001011=>4
[1,2,5,4,3,8,7,6]=>0011011=>1
[1,2,5,4,3,7,8,6]=>0011001=>2
[1,2,4,5,3,8,7,6]=>0001011=>1
[1,2,4,5,3,7,8,6]=>0001001=>1
[1,3,2,5,4,8,7,6]=>0101011=>1
[1,3,2,5,4,7,8,6]=>0101001=>3
[2,1,3,5,4,8,7,6]=>1001011=>4
[2,1,3,5,4,7,8,6]=>1001001=>5
[1,2,3,5,4,8,7,6]=>0001011=>1
[1,2,3,5,4,7,8,6]=>0001001=>1
[4,3,2,1,5,8,7,6]=>1110011=>5
[4,3,2,1,5,7,8,6]=>1110001=>6
[2,4,3,1,5,8,7,6]=>0110011=>2
[3,2,4,1,5,8,7,6]=>1010011=>5
[3,2,4,1,5,7,8,6]=>1010001=>6
[2,3,4,1,5,8,7,6]=>0010011=>1
[2,3,4,1,5,7,8,6]=>0010001=>2
[1,4,3,2,5,8,7,6]=>0110011=>2
[1,4,3,2,5,7,8,6]=>0110001=>4
[1,3,4,2,5,8,7,6]=>0010011=>1
[1,3,4,2,5,7,8,6]=>0010001=>2
[2,1,4,3,5,8,7,6]=>1010011=>5
[2,1,4,3,5,7,8,6]=>1010001=>6
[1,2,4,3,5,8,7,6]=>0010011=>1
[1,2,4,3,5,7,8,6]=>0010001=>2
[3,2,1,4,5,8,7,6]=>1100011=>5
[3,2,1,4,5,7,8,6]=>1100001=>6
[2,3,1,4,5,7,8,6]=>0100001=>4
[1,3,2,4,5,8,7,6]=>0100011=>3
[1,3,2,4,5,7,8,6]=>0100001=>4
[2,1,3,4,5,8,7,6]=>1000011=>5
[2,1,3,4,5,7,8,6]=>1000001=>6
[1,2,3,4,5,8,7,6]=>0000011=>1
[1,2,3,4,5,7,8,6]=>0000001=>1
[6,5,4,3,2,1,8,7]=>1111101=>6
[5,6,4,3,2,1,8,7]=>0111101=>2
[4,6,5,3,2,1,8,7]=>0111101=>2
[5,4,6,3,2,1,8,7]=>1011101=>4
[4,5,6,3,2,1,8,7]=>0011101=>1
[3,6,5,4,2,1,8,7]=>0111101=>2
[3,5,6,4,2,1,8,7]=>0011101=>1
[4,3,6,5,2,1,8,7]=>1011101=>4
[3,4,6,5,2,1,8,7]=>0011101=>1
[5,4,3,6,2,1,8,7]=>1101101=>5
[4,5,3,6,2,1,8,7]=>0101101=>2
[4,3,5,6,2,1,8,7]=>1001101=>4
[3,4,5,6,2,1,8,7]=>0001101=>1
[2,6,5,4,3,1,8,7]=>0111101=>2
[2,5,6,4,3,1,8,7]=>0011101=>1
[2,4,6,5,3,1,8,7]=>0011101=>1
[3,2,6,5,4,1,8,7]=>1011101=>4
[3,2,5,6,4,1,8,7]=>1001101=>4
[2,3,6,5,4,1,8,7]=>0011101=>1
[2,3,5,6,4,1,8,7]=>0001101=>1
[4,3,2,6,5,1,8,7]=>1101101=>5
[3,4,2,6,5,1,8,7]=>0101101=>2
[2,4,3,6,5,1,8,7]=>0101101=>2
[5,4,3,2,6,1,8,7]=>1110101=>6
[4,5,3,2,6,1,8,7]=>0110101=>3
[3,5,4,2,6,1,8,7]=>0110101=>3
[4,3,5,2,6,1,8,7]=>1010101=>4
[3,4,5,2,6,1,8,7]=>0010101=>1
[2,5,4,3,6,1,8,7]=>0110101=>3
[2,4,5,3,6,1,8,7]=>0010101=>1
[3,2,5,4,6,1,8,7]=>1010101=>4
[4,3,2,5,6,1,8,7]=>1100101=>6
[3,4,2,5,6,1,8,7]=>0100101=>2
[2,4,3,5,6,1,8,7]=>0100101=>2
[2,3,4,5,6,1,8,7]=>0000101=>1
[1,6,5,4,3,2,8,7]=>0111101=>2
[1,5,6,4,3,2,8,7]=>0011101=>1
[1,5,4,6,3,2,8,7]=>0101101=>2
[1,3,6,5,4,2,8,7]=>0011101=>1
[1,3,4,5,6,2,8,7]=>0000101=>1
[2,1,6,5,4,3,8,7]=>1011101=>4
[2,1,5,6,4,3,8,7]=>1001101=>4
[2,1,4,6,5,3,8,7]=>1001101=>4
[2,1,5,4,6,3,8,7]=>1010101=>4
[2,1,4,5,6,3,8,7]=>1000101=>5
[1,2,4,5,6,3,8,7]=>0000101=>1
[3,2,1,6,5,4,8,7]=>1101101=>5
[2,3,1,6,5,4,8,7]=>0101101=>2
[1,3,2,6,5,4,8,7]=>0101101=>2
[1,3,2,5,6,4,8,7]=>0100101=>2
[2,1,3,5,6,4,8,7]=>1000101=>5
[1,2,3,6,5,4,8,7]=>0001101=>1
[1,2,3,5,6,4,8,7]=>0000101=>1
[4,3,2,1,6,5,8,7]=>1110101=>6
[3,4,2,1,6,5,8,7]=>0110101=>3
[2,4,3,1,6,5,8,7]=>0110101=>3
[3,2,4,1,6,5,8,7]=>1010101=>4
[2,3,4,1,6,5,8,7]=>0010101=>1
[1,3,4,2,6,5,8,7]=>0010101=>1
[2,1,4,3,6,5,8,7]=>1010101=>4
[1,2,4,3,6,5,8,7]=>0010101=>1
[2,3,1,4,6,5,8,7]=>0100101=>2
[1,3,2,4,6,5,8,7]=>0100101=>2
[2,1,3,4,6,5,8,7]=>1000101=>5
[1,2,3,4,6,5,8,7]=>0000101=>1
[5,4,3,2,1,6,8,7]=>1111001=>6
[4,5,3,2,1,6,8,7]=>0111001=>3
[3,5,4,2,1,6,8,7]=>0111001=>3
[4,3,5,2,1,6,8,7]=>1011001=>5
[3,4,5,2,1,6,8,7]=>0011001=>2
[2,5,4,3,1,6,8,7]=>0111001=>3
[2,4,5,3,1,6,8,7]=>0011001=>2
[3,2,5,4,1,6,8,7]=>1011001=>5
[2,3,5,4,1,6,8,7]=>0011001=>2
[2,4,3,5,1,6,8,7]=>0101001=>3
[2,3,4,5,1,6,8,7]=>0001001=>1
[1,4,5,3,2,6,8,7]=>0011001=>2
[1,3,5,4,2,6,8,7]=>0011001=>2
[1,3,4,5,2,6,8,7]=>0001001=>1
[2,1,4,5,3,6,8,7]=>1001001=>5
[1,2,5,4,3,6,8,7]=>0011001=>2
[2,1,3,5,4,6,8,7]=>1001001=>5
[1,2,3,5,4,6,8,7]=>0001001=>1
[4,3,2,1,5,6,8,7]=>1110001=>6
[3,2,4,1,5,6,8,7]=>1010001=>6
[2,3,4,1,5,6,8,7]=>0010001=>2
[1,4,3,2,5,6,8,7]=>0110001=>4
[1,3,4,2,5,6,8,7]=>0010001=>2
[2,1,4,3,5,6,8,7]=>1010001=>6
[1,2,4,3,5,6,8,7]=>0010001=>2
[3,2,1,4,5,6,8,7]=>1100001=>6
[2,3,1,4,5,6,8,7]=>0100001=>4
[1,3,2,4,5,6,8,7]=>0100001=>4
[2,1,3,4,5,6,8,7]=>1000001=>6
[1,2,3,4,5,6,8,7]=>0000001=>1
[5,7,6,4,3,2,1,8]=>0111110=>2
[4,7,6,5,3,2,1,8]=>0111110=>2
[4,6,7,5,3,2,1,8]=>0011110=>2
[5,4,7,6,3,2,1,8]=>1011110=>4
[4,5,7,6,3,2,1,8]=>0011110=>2
[4,6,5,7,3,2,1,8]=>0101110=>2
[3,5,7,6,4,2,1,8]=>0011110=>2
[3,5,6,7,4,2,1,8]=>0001110=>2
[4,3,7,6,5,2,1,8]=>1011110=>4
[3,4,7,6,5,2,1,8]=>0011110=>2
[5,4,3,7,6,2,1,8]=>1101110=>6
[4,5,3,7,6,2,1,8]=>0101110=>2
[3,5,4,7,6,2,1,8]=>0101110=>2
[4,3,5,7,6,2,1,8]=>1001110=>4
[3,6,5,4,7,2,1,8]=>0110110=>3
[3,5,6,4,7,2,1,8]=>0010110=>2
[4,3,6,5,7,2,1,8]=>1010110=>5
[2,7,6,5,4,3,1,8]=>0111110=>2
[2,6,7,5,4,3,1,8]=>0011110=>2
[2,5,7,6,4,3,1,8]=>0011110=>2
[2,5,6,7,4,3,1,8]=>0001110=>2
[2,4,6,7,5,3,1,8]=>0001110=>2
[2,5,4,7,6,3,1,8]=>0101110=>2
[2,5,6,4,7,3,1,8]=>0010110=>2
[2,5,4,6,7,3,1,8]=>0100110=>3
[2,4,5,6,7,3,1,8]=>0000110=>2
[3,2,7,6,5,4,1,8]=>1011110=>4
[3,2,6,7,5,4,1,8]=>1001110=>4
[3,2,5,7,6,4,1,8]=>1001110=>4
[3,2,6,5,7,4,1,8]=>1010110=>5
[3,2,5,6,7,4,1,8]=>1000110=>5
[2,3,7,6,5,4,1,8]=>0011110=>2
[2,3,6,7,5,4,1,8]=>0001110=>2
[2,3,5,7,6,4,1,8]=>0001110=>2
[2,3,6,5,7,4,1,8]=>0010110=>2
[2,3,5,6,7,4,1,8]=>0000110=>2
[4,3,2,6,7,5,1,8]=>1100110=>6
[3,4,2,7,6,5,1,8]=>0101110=>2
[3,4,2,6,7,5,1,8]=>0100110=>3
[3,2,4,6,7,5,1,8]=>1000110=>5
[2,3,4,7,6,5,1,8]=>0001110=>2
[2,3,4,6,7,5,1,8]=>0000110=>2
[5,4,3,2,7,6,1,8]=>1110110=>7
[4,5,3,2,7,6,1,8]=>0110110=>3
[3,5,4,2,7,6,1,8]=>0110110=>3
[4,3,5,2,7,6,1,8]=>1010110=>5
[3,4,5,2,7,6,1,8]=>0010110=>2
[3,2,5,4,7,6,1,8]=>1010110=>5
[4,3,2,5,7,6,1,8]=>1100110=>6
[3,4,2,5,7,6,1,8]=>0100110=>3
[2,3,4,5,7,6,1,8]=>0000110=>2
[3,6,5,4,2,7,1,8]=>0111010=>3
[3,5,6,4,2,7,1,8]=>0011010=>2
[3,4,6,5,2,7,1,8]=>0011010=>2
[3,5,4,6,2,7,1,8]=>0101010=>4
[2,5,4,6,3,7,1,8]=>0101010=>4
[3,2,6,5,4,7,1,8]=>1011010=>6
[2,3,5,6,4,7,1,8]=>0001010=>2
[4,3,2,6,5,7,1,8]=>1101010=>7
[3,4,2,6,5,7,1,8]=>0101010=>4
[2,4,3,6,5,7,1,8]=>0101010=>4
[2,3,4,6,5,7,1,8]=>0001010=>2
[3,5,4,2,6,7,1,8]=>0110010=>4
[2,5,4,3,6,7,1,8]=>0110010=>4
[2,4,5,3,6,7,1,8]=>0010010=>3
[2,3,5,4,6,7,1,8]=>0010010=>3
[1,7,6,5,4,3,2,8]=>0111110=>2
[1,6,7,5,4,3,2,8]=>0011110=>2
[1,6,5,7,4,3,2,8]=>0101110=>2
[1,5,6,7,4,3,2,8]=>0001110=>2
[1,4,7,6,5,3,2,8]=>0011110=>2
[1,4,6,7,5,3,2,8]=>0001110=>2
[1,5,4,7,6,3,2,8]=>0101110=>2
[1,5,6,4,7,3,2,8]=>0010110=>2
[1,4,6,5,7,3,2,8]=>0010110=>2
[1,5,4,6,7,3,2,8]=>0100110=>3
[1,4,5,6,7,3,2,8]=>0000110=>2
[1,3,7,6,5,4,2,8]=>0011110=>2
[1,3,6,7,5,4,2,8]=>0001110=>2
[1,3,5,7,6,4,2,8]=>0001110=>2
[1,3,6,5,7,4,2,8]=>0010110=>2
[1,3,5,6,7,4,2,8]=>0000110=>2
[1,3,4,6,7,5,2,8]=>0000110=>2
[1,3,5,4,7,6,2,8]=>0010110=>2
[1,4,3,5,7,6,2,8]=>0100110=>3
[1,3,4,5,7,6,2,8]=>0000110=>2
[1,5,4,6,3,7,2,8]=>0101010=>4
[1,4,5,6,3,7,2,8]=>0001010=>2
[1,3,6,5,4,7,2,8]=>0011010=>2
[1,3,5,6,4,7,2,8]=>0001010=>2
[1,4,3,6,5,7,2,8]=>0101010=>4
[1,3,4,6,5,7,2,8]=>0001010=>2
[1,5,4,3,6,7,2,8]=>0110010=>4
[1,4,5,3,6,7,2,8]=>0010010=>3
[1,3,5,4,6,7,2,8]=>0010010=>3
[1,3,4,5,6,7,2,8]=>0000010=>2
[2,1,7,6,5,4,3,8]=>1011110=>4
[2,1,6,7,5,4,3,8]=>1001110=>4
[2,1,5,6,7,4,3,8]=>1000110=>5
[2,1,4,6,7,5,3,8]=>1000110=>5
[2,1,4,5,6,7,3,8]=>1000010=>6
[1,2,7,6,5,4,3,8]=>0011110=>2
[1,2,6,7,5,4,3,8]=>0001110=>2
[1,2,5,7,6,4,3,8]=>0001110=>2
[1,2,5,6,7,4,3,8]=>0000110=>2
[1,2,4,6,7,5,3,8]=>0000110=>2
[1,2,5,6,4,7,3,8]=>0001010=>2
[1,2,5,4,6,7,3,8]=>0010010=>3
[1,2,4,5,6,7,3,8]=>0000010=>2
[3,2,1,7,6,5,4,8]=>1101110=>6
[3,2,1,6,7,5,4,8]=>1100110=>6
[3,2,1,5,7,6,4,8]=>1100110=>6
[3,2,1,5,6,7,4,8]=>1100010=>7
[2,3,1,6,7,5,4,8]=>0100110=>3
[2,3,1,6,5,7,4,8]=>0101010=>4
[2,3,1,5,6,7,4,8]=>0100010=>4
[1,3,2,7,6,5,4,8]=>0101110=>2
[1,3,2,6,7,5,4,8]=>0100110=>3
[1,3,2,5,7,6,4,8]=>0100110=>3
[1,3,2,6,5,7,4,8]=>0101010=>4
[1,3,2,5,6,7,4,8]=>0100010=>4
[2,1,3,6,7,5,4,8]=>1000110=>5
[1,2,3,7,6,5,4,8]=>0001110=>2
[1,2,3,6,7,5,4,8]=>0000110=>2
[1,2,3,5,7,6,4,8]=>0000110=>2
[1,2,3,6,5,7,4,8]=>0001010=>2
[1,2,3,5,6,7,4,8]=>0000010=>2
[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]=>1010110=>5
[3,2,4,1,6,7,5,8]=>1010010=>6
[2,3,4,1,7,6,5,8]=>0010110=>2
[2,3,4,1,6,7,5,8]=>0010010=>3
[1,4,3,2,7,6,5,8]=>0110110=>3
[1,4,3,2,6,7,5,8]=>0110010=>4
[1,3,4,2,6,7,5,8]=>0010010=>3
[1,2,4,3,6,7,5,8]=>0010010=>3
[3,2,1,4,7,6,5,8]=>1100110=>6
[2,3,1,4,6,7,5,8]=>0100010=>4
[1,3,2,4,7,6,5,8]=>0100110=>3
[2,1,3,4,6,7,5,8]=>1000010=>6
[1,2,3,4,7,6,5,8]=>0000110=>2
[1,2,3,4,6,7,5,8]=>0000010=>2
[5,4,3,2,1,7,6,8]=>1111010=>7
[4,5,3,2,1,7,6,8]=>0111010=>3
[3,5,4,2,1,7,6,8]=>0111010=>3
[3,4,5,2,1,7,6,8]=>0011010=>2
[2,5,4,3,1,7,6,8]=>0111010=>3
[2,4,5,3,1,7,6,8]=>0011010=>2
[3,2,5,4,1,7,6,8]=>1011010=>6
[2,3,5,4,1,7,6,8]=>0011010=>2
[3,4,2,5,1,7,6,8]=>0101010=>4
[2,4,3,5,1,7,6,8]=>0101010=>4
[2,3,4,5,1,7,6,8]=>0001010=>2
[1,5,4,3,2,7,6,8]=>0111010=>3
[1,4,5,3,2,7,6,8]=>0011010=>2
[1,3,5,4,2,7,6,8]=>0011010=>2
[1,4,3,5,2,7,6,8]=>0101010=>4
[1,3,4,5,2,7,6,8]=>0001010=>2
[2,1,5,4,3,7,6,8]=>1011010=>6
[1,2,4,5,3,7,6,8]=>0001010=>2
[3,2,1,5,4,7,6,8]=>1101010=>7
[2,3,1,5,4,7,6,8]=>0101010=>4
[1,3,2,5,4,7,6,8]=>0101010=>4
[1,2,3,5,4,7,6,8]=>0001010=>2
[4,3,2,1,5,7,6,8]=>1110010=>7
[3,2,4,1,5,7,6,8]=>1010010=>6
[2,3,4,1,5,7,6,8]=>0010010=>3
[1,4,3,2,5,7,6,8]=>0110010=>4
[1,3,4,2,5,7,6,8]=>0010010=>3
[1,2,4,3,5,7,6,8]=>0010010=>3
[2,3,1,4,5,7,6,8]=>0100010=>4
[1,3,2,4,5,7,6,8]=>0100010=>4
[2,1,3,4,5,7,6,8]=>1000010=>6
[1,2,3,4,5,7,6,8]=>0000010=>2
[3,6,5,4,2,1,7,8]=>0111100=>3
[4,3,6,5,2,1,7,8]=>1011100=>5
[2,4,6,5,3,1,7,8]=>0011100=>3
[2,4,5,6,3,1,7,8]=>0001100=>3
[2,3,6,5,4,1,7,8]=>0011100=>3
[2,3,5,6,4,1,7,8]=>0001100=>3
[4,3,2,6,5,1,7,8]=>1101100=>7
[2,4,3,6,5,1,7,8]=>0101100=>3
[2,3,4,6,5,1,7,8]=>0001100=>3
[3,5,4,2,6,1,7,8]=>0110100=>4
[2,3,5,4,6,1,7,8]=>0010100=>3
[1,6,5,4,3,2,7,8]=>0111100=>3
[1,5,6,4,3,2,7,8]=>0011100=>3
[1,4,6,5,3,2,7,8]=>0011100=>3
[1,5,4,6,3,2,7,8]=>0101100=>3
[1,4,5,6,3,2,7,8]=>0001100=>3
[1,3,5,6,4,2,7,8]=>0001100=>3
[1,4,3,6,5,2,7,8]=>0101100=>3
[1,5,4,3,6,2,7,8]=>0110100=>4
[1,4,5,3,6,2,7,8]=>0010100=>3
[1,3,5,4,6,2,7,8]=>0010100=>3
[1,4,3,5,6,2,7,8]=>0100100=>5
[1,3,4,5,6,2,7,8]=>0000100=>3
[2,1,5,6,4,3,7,8]=>1001100=>6
[2,1,4,6,5,3,7,8]=>1001100=>6
[1,2,6,5,4,3,7,8]=>0011100=>3
[1,2,5,6,4,3,7,8]=>0001100=>3
[1,2,4,6,5,3,7,8]=>0001100=>3
[1,2,4,5,6,3,7,8]=>0000100=>3
[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=>3
[2,3,1,5,6,4,7,8]=>0100100=>5
[1,3,2,6,5,4,7,8]=>0101100=>3
[1,3,2,5,6,4,7,8]=>0100100=>5
[1,2,3,6,5,4,7,8]=>0001100=>3
[1,2,3,5,6,4,7,8]=>0000100=>3
[4,3,2,1,6,5,7,8]=>1110100=>7
[2,4,3,1,6,5,7,8]=>0110100=>4
[3,2,4,1,6,5,7,8]=>1010100=>7
[2,3,4,1,6,5,7,8]=>0010100=>3
[2,1,4,3,6,5,7,8]=>1010100=>7
[1,2,4,3,6,5,7,8]=>0010100=>3
[1,3,2,4,6,5,7,8]=>0100100=>5
[2,1,3,4,6,5,7,8]=>1000100=>6
[1,2,3,4,6,5,7,8]=>0000100=>3
[3,5,4,2,1,6,7,8]=>0111000=>4
[2,5,4,3,1,6,7,8]=>0111000=>4
[2,4,5,3,1,6,7,8]=>0011000=>4
[3,2,5,4,1,6,7,8]=>1011000=>6
[2,3,5,4,1,6,7,8]=>0011000=>4
[2,4,3,5,1,6,7,8]=>0101000=>5
[1,5,4,3,2,6,7,8]=>0111000=>4
[1,4,5,3,2,6,7,8]=>0011000=>4
[1,3,5,4,2,6,7,8]=>0011000=>4
[1,3,4,5,2,6,7,8]=>0001000=>4
[2,1,5,4,3,6,7,8]=>1011000=>6
[2,1,4,5,3,6,7,8]=>1001000=>7
[1,2,5,4,3,6,7,8]=>0011000=>4
[3,2,1,5,4,6,7,8]=>1101000=>7
[2,3,1,5,4,6,7,8]=>0101000=>5
[1,3,2,5,4,6,7,8]=>0101000=>5
[1,2,3,5,4,6,7,8]=>0001000=>4
[2,4,3,1,5,6,7,8]=>0110000=>5
[1,4,3,2,5,6,7,8]=>0110000=>5
[1,3,4,2,5,6,7,8]=>0010000=>5
[2,1,4,3,5,6,7,8]=>1010000=>7
[1,2,4,3,5,6,7,8]=>0010000=>5
[1,3,2,4,5,6,7,8]=>0100000=>6
[1,2,3,4,8,6,7,5]=>0000101=>1
[1,2,3,5,8,6,7,4]=>0000101=>1
[1,2,3,7,5,6,4,8]=>0001010=>2
[1,2,3,7,5,6,8,4]=>0001001=>1
[1,2,3,8,5,6,7,4]=>0001001=>1
[1,2,3,8,5,7,6,4]=>0001011=>1
[1,2,3,8,6,5,7,4]=>0001101=>1
[1,2,3,8,6,7,5,4]=>0001011=>1
[1,2,4,5,8,6,7,3]=>0000101=>1
[1,2,4,7,5,6,8,3]=>0001001=>1
[1,2,4,8,5,6,7,3]=>0001001=>1
[1,2,4,8,6,5,7,3]=>0001101=>1
[1,2,5,4,8,6,7,3]=>0010101=>1
[1,2,6,4,5,3,7,8]=>0010100=>3
[1,2,6,4,5,7,8,3]=>0010001=>2
[1,2,6,4,5,8,7,3]=>0010011=>1
[1,2,7,4,5,6,8,3]=>0010001=>2
[1,2,8,4,5,6,7,3]=>0010001=>2
[1,2,8,4,6,7,5,3]=>0010011=>1
[1,2,8,4,7,6,5,3]=>0010111=>1
[1,2,7,5,4,6,3,8]=>0011010=>2
[1,2,7,5,4,6,8,3]=>0011001=>2
[1,2,8,5,4,6,7,3]=>0011001=>2
[1,2,8,5,4,7,6,3]=>0011011=>1
[1,2,8,5,6,4,7,3]=>0010101=>1
[1,2,8,5,6,7,4,3]=>0010011=>1
[1,2,8,6,5,4,7,3]=>0011101=>1
[1,2,8,6,5,7,4,3]=>0011011=>1
[1,2,8,7,5,6,4,3]=>0011011=>1
[1,3,2,4,8,6,7,5]=>0100101=>2
[1,3,2,7,5,6,8,4]=>0101001=>3
[1,3,2,8,5,7,6,4]=>0101011=>1
[1,3,2,8,6,5,7,4]=>0101101=>2
[1,3,2,8,6,7,5,4]=>0101011=>1
[1,3,4,2,8,6,7,5]=>0010101=>1
[1,3,4,5,8,6,7,2]=>0000101=>1
[1,3,4,8,5,6,7,2]=>0001001=>1
[1,3,4,8,6,5,7,2]=>0001101=>1
[1,3,4,8,6,7,5,2]=>0001011=>1
[1,3,6,4,5,2,8,7]=>0010101=>1
[1,3,6,4,5,7,2,8]=>0010010=>3
[1,3,6,4,5,7,8,2]=>0010001=>2
[1,3,6,4,5,8,7,2]=>0010011=>1
[1,3,7,4,5,6,2,8]=>0010010=>3
[1,3,7,4,5,6,8,2]=>0010001=>2
[1,3,8,4,5,6,7,2]=>0010001=>2
[1,3,8,4,6,5,7,2]=>0010101=>1
[1,3,8,5,4,6,7,2]=>0011001=>2
[1,3,8,5,4,7,6,2]=>0011011=>1
[1,3,8,5,6,7,4,2]=>0010011=>1
[1,3,8,5,7,6,4,2]=>0010111=>1
[1,3,8,6,5,7,4,2]=>0011011=>1
[1,3,8,7,5,6,4,2]=>0011011=>1
[1,4,3,5,8,6,7,2]=>0100101=>2
[1,4,3,8,5,6,7,2]=>0101001=>3
[1,4,3,8,5,7,6,2]=>0101011=>1
[1,4,3,8,6,5,7,2]=>0101101=>2
[1,4,3,8,6,7,5,2]=>0101011=>1
[1,5,3,4,2,6,7,8]=>0101000=>5
[1,5,3,4,2,7,8,6]=>0101001=>3
[1,5,3,4,2,8,7,6]=>0101011=>1
[1,5,3,4,6,2,7,8]=>0100100=>5
[1,5,3,4,6,2,8,7]=>0100101=>2
[1,5,3,4,6,7,2,8]=>0100010=>4
[1,5,3,4,6,7,8,2]=>0100001=>4
[1,5,3,4,7,6,2,8]=>0100110=>3
[1,5,3,4,8,6,7,2]=>0100101=>2
[1,6,3,4,5,2,7,8]=>0100100=>5
[1,6,3,4,5,8,7,2]=>0100011=>3
[1,7,3,4,5,6,2,8]=>0100010=>4
[1,7,3,4,5,6,8,2]=>0100001=>4
[1,8,3,4,5,6,7,2]=>0100001=>4
[1,8,3,4,6,7,5,2]=>0100011=>3
[1,6,3,5,4,2,7,8]=>0101100=>3
[1,6,3,5,4,8,7,2]=>0101011=>1
[1,7,3,5,4,6,2,8]=>0101010=>4
[1,8,3,5,4,6,7,2]=>0101001=>3
[1,8,3,5,4,7,6,2]=>0101011=>1
[1,8,3,5,6,4,7,2]=>0100101=>2
[1,8,3,5,6,7,4,2]=>0100011=>3
[1,8,3,5,7,6,4,2]=>0100111=>2
[1,7,3,6,5,4,2,8]=>0101110=>2
[1,7,3,6,5,4,8,2]=>0101101=>2
[1,8,3,6,5,4,7,2]=>0101101=>2
[1,8,3,7,5,6,4,2]=>0101011=>1
[1,8,3,7,6,5,4,2]=>0101111=>1
[1,6,4,3,5,2,7,8]=>0110100=>4
[1,6,4,3,5,8,7,2]=>0110011=>2
[1,8,4,3,5,6,7,2]=>0110001=>4
[1,8,4,3,5,7,6,2]=>0110011=>2
[1,7,4,3,6,5,8,2]=>0110101=>3
[1,8,4,3,6,5,7,2]=>0110101=>3
[1,8,4,3,6,7,5,2]=>0110011=>2
[1,6,4,5,3,2,7,8]=>0101100=>3
[1,6,4,5,3,2,8,7]=>0101101=>2
[1,6,4,5,3,8,7,2]=>0101011=>1
[1,7,4,5,3,6,8,2]=>0101001=>3
[1,8,4,5,3,6,7,2]=>0101001=>3
[1,7,4,5,6,3,2,8]=>0100110=>3
[1,7,4,5,6,3,8,2]=>0100101=>2
[1,8,4,5,6,3,7,2]=>0100101=>2
[1,8,4,5,6,7,3,2]=>0100011=>3
[1,7,4,6,5,3,2,8]=>0101110=>2
[1,8,4,6,5,3,7,2]=>0101101=>2
[1,8,4,6,5,7,3,2]=>0101011=>1
[1,8,4,7,6,5,3,2]=>0101111=>1
[1,7,5,4,3,6,2,8]=>0111010=>3
[1,7,5,4,3,6,8,2]=>0111001=>3
[1,8,5,4,3,6,7,2]=>0111001=>3
[1,8,5,4,3,7,6,2]=>0111011=>2
[1,8,5,4,6,3,7,2]=>0110101=>3
[1,8,5,4,6,7,3,2]=>0110011=>2
[1,8,5,4,7,6,3,2]=>0110111=>1
[1,7,6,4,5,3,2,8]=>0110110=>3
[1,8,6,4,5,3,7,2]=>0110101=>3
[1,8,6,4,5,7,3,2]=>0110011=>2
[1,8,7,4,5,6,3,2]=>0110011=>2
[1,8,7,4,6,5,3,2]=>0110111=>1
[1,8,6,5,4,3,7,2]=>0111101=>2
[1,8,6,5,4,7,3,2]=>0111011=>2
[1,8,7,5,4,6,3,2]=>0111011=>2
[1,8,7,5,6,4,3,2]=>0110111=>1
[2,1,3,4,8,6,7,5]=>1000101=>5
[2,1,3,5,8,6,7,4]=>1000101=>5
[2,1,3,8,5,6,7,4]=>1001001=>5
[2,1,3,8,5,7,6,4]=>1001011=>4
[2,1,3,8,6,5,7,4]=>1001101=>4
[2,1,3,8,6,7,5,4]=>1001011=>4
[2,1,4,3,8,6,7,5]=>1010101=>4
[2,1,4,5,8,6,7,3]=>1000101=>5
[2,1,4,8,5,6,7,3]=>1001001=>5
[2,1,4,8,5,7,6,3]=>1001011=>4
[2,1,4,8,6,5,7,3]=>1001101=>4
[2,1,4,8,6,7,5,3]=>1001011=>4
[2,1,5,4,8,6,7,3]=>1010101=>4
[2,1,6,4,5,3,8,7]=>1010101=>4
[2,1,6,4,5,7,8,3]=>1010001=>6
[2,1,6,4,5,8,7,3]=>1010011=>5
[2,1,8,4,5,6,7,3]=>1010001=>6
[2,1,8,4,5,7,6,3]=>1010011=>5
[2,1,7,4,6,5,8,3]=>1010101=>4
[2,1,8,4,6,5,7,3]=>1010101=>4
[2,1,8,4,6,7,5,3]=>1010011=>5
[2,1,8,4,7,6,5,3]=>1010111=>3
[2,1,7,5,4,6,8,3]=>1011001=>5
[2,1,8,5,4,6,7,3]=>1011001=>5
[2,1,8,5,4,7,6,3]=>1011011=>3
[2,1,7,5,6,4,8,3]=>1010101=>4
[2,1,8,5,6,4,7,3]=>1010101=>4
[2,1,8,5,6,7,4,3]=>1010011=>5
[2,1,8,5,7,6,4,3]=>1010111=>3
[2,1,8,6,5,4,7,3]=>1011101=>4
[2,1,8,6,5,7,4,3]=>1011011=>3
[2,1,8,7,5,6,4,3]=>1011011=>3
[2,3,1,7,5,6,4,8]=>0101010=>4
[2,3,1,8,5,6,7,4]=>0101001=>3
[2,3,1,8,6,7,5,4]=>0101011=>1
[2,3,4,1,8,6,7,5]=>0010101=>1
[2,3,4,5,8,6,7,1]=>0000101=>1
[2,3,4,7,5,6,1,8]=>0001010=>2
[2,3,4,7,5,6,8,1]=>0001001=>1
[2,3,4,8,5,6,7,1]=>0001001=>1
[2,3,4,8,5,7,6,1]=>0001011=>1
[2,3,4,8,6,5,7,1]=>0001101=>1
[2,3,4,8,6,7,5,1]=>0001011=>1
[2,3,5,4,8,6,7,1]=>0010101=>1
[2,3,6,4,5,1,7,8]=>0010100=>3
[2,3,6,4,5,1,8,7]=>0010101=>1
[2,3,6,4,5,7,8,1]=>0010001=>2
[2,3,6,4,5,8,7,1]=>0010011=>1
[2,3,7,4,5,6,8,1]=>0010001=>2
[2,3,8,4,5,6,7,1]=>0010001=>2
[2,3,7,4,6,5,8,1]=>0010101=>1
[2,3,8,4,6,7,5,1]=>0010011=>1
[2,3,7,5,4,6,1,8]=>0011010=>2
[2,3,7,5,4,6,8,1]=>0011001=>2
[2,3,8,5,4,6,7,1]=>0011001=>2
[2,3,7,5,6,4,1,8]=>0010110=>2
[2,3,7,5,6,4,8,1]=>0010101=>1
[2,3,8,5,6,4,7,1]=>0010101=>1
[2,3,8,5,6,7,4,1]=>0010011=>1
[2,3,8,5,7,6,4,1]=>0010111=>1
[2,3,8,6,5,4,7,1]=>0011101=>1
[2,4,3,1,8,6,7,5]=>0110101=>3
[2,4,3,5,8,6,7,1]=>0100101=>2
[2,4,3,7,5,6,8,1]=>0101001=>3
[2,4,3,8,5,6,7,1]=>0101001=>3
[2,4,3,8,5,7,6,1]=>0101011=>1
[2,4,3,8,6,5,7,1]=>0101101=>2
[2,4,3,8,6,7,5,1]=>0101011=>1
[2,5,3,4,1,6,7,8]=>0101000=>5
[2,5,3,4,1,8,7,6]=>0101011=>1
[2,5,3,4,6,7,1,8]=>0100010=>4
[2,5,3,4,6,7,8,1]=>0100001=>4
[2,5,3,4,6,8,7,1]=>0100011=>3
[2,5,3,4,7,6,8,1]=>0100101=>2
[2,5,3,4,8,6,7,1]=>0100101=>2
[2,5,3,4,8,7,6,1]=>0100111=>2
[2,6,3,4,5,1,7,8]=>0100100=>5
[2,6,3,4,5,7,8,1]=>0100001=>4
[2,6,3,4,5,8,7,1]=>0100011=>3
[2,7,3,4,5,6,1,8]=>0100010=>4
[2,8,3,4,5,6,7,1]=>0100001=>4
[2,8,3,4,5,7,6,1]=>0100011=>3
[2,6,3,5,4,1,7,8]=>0101100=>3
[2,6,3,5,4,1,8,7]=>0101101=>2
[2,6,3,5,4,7,8,1]=>0101001=>3
[2,6,3,5,4,8,7,1]=>0101011=>1
[2,7,3,5,4,6,8,1]=>0101001=>3
[2,8,3,5,4,7,6,1]=>0101011=>1
[2,7,3,5,6,4,8,1]=>0100101=>2
[2,8,3,5,6,7,4,1]=>0100011=>3
[2,8,3,5,7,6,4,1]=>0100111=>2
[2,7,3,6,5,4,1,8]=>0101110=>2
[2,8,3,7,5,6,4,1]=>0101011=>1
[2,8,3,7,6,5,4,1]=>0101111=>1
[2,5,4,3,8,6,7,1]=>0110101=>3
[2,6,4,3,5,1,8,7]=>0110101=>3
[2,6,4,3,5,7,8,1]=>0110001=>4
[2,6,4,3,5,8,7,1]=>0110011=>2
[2,7,4,3,5,6,8,1]=>0110001=>4
[2,8,4,3,5,6,7,1]=>0110001=>4
[2,8,4,3,5,7,6,1]=>0110011=>2
[2,7,4,3,6,5,8,1]=>0110101=>3
[2,8,4,3,6,5,7,1]=>0110101=>3
[2,8,4,3,6,7,5,1]=>0110011=>2
[2,8,4,3,7,6,5,1]=>0110111=>1
[2,6,4,5,3,1,7,8]=>0101100=>3
[2,6,4,5,3,1,8,7]=>0101101=>2
[2,6,4,5,3,7,8,1]=>0101001=>3
[2,6,4,5,3,8,7,1]=>0101011=>1
[2,8,4,5,3,6,7,1]=>0101001=>3
[2,7,4,5,6,3,1,8]=>0100110=>3
[2,7,4,5,6,3,8,1]=>0100101=>2
[2,8,4,5,6,3,7,1]=>0100101=>2
[2,8,4,5,6,7,3,1]=>0100011=>3
[2,7,4,6,5,3,1,8]=>0101110=>2
[2,7,4,6,5,3,8,1]=>0101101=>2
[2,8,4,6,5,3,7,1]=>0101101=>2
[2,8,4,7,6,5,3,1]=>0101111=>1
[2,7,5,4,3,6,8,1]=>0111001=>3
[2,8,5,4,3,6,7,1]=>0111001=>3
[2,8,5,4,3,7,6,1]=>0111011=>2
[2,7,5,4,6,3,8,1]=>0110101=>3
[2,8,5,4,6,7,3,1]=>0110011=>2
[2,8,5,4,7,6,3,1]=>0110111=>1
[2,7,6,4,5,3,8,1]=>0110101=>3
[2,8,7,4,5,6,3,1]=>0110011=>2
[2,8,7,4,6,5,3,1]=>0110111=>1
[2,8,7,5,4,6,3,1]=>0111011=>2
[2,8,7,5,6,4,3,1]=>0110111=>1
[3,2,1,4,8,6,7,5]=>1100101=>6
[3,2,1,5,8,6,7,4]=>1100101=>6
[3,2,1,7,5,6,8,4]=>1101001=>6
[3,2,1,8,5,6,7,4]=>1101001=>6
[3,2,1,8,5,7,6,4]=>1101011=>5
[3,2,1,8,6,5,7,4]=>1101101=>5
[3,2,1,8,6,7,5,4]=>1101011=>5
[3,2,4,1,8,6,7,5]=>1010101=>4
[3,2,4,5,8,6,7,1]=>1000101=>5
[3,2,4,7,5,6,8,1]=>1001001=>5
[3,2,4,8,5,6,7,1]=>1001001=>5
[3,2,4,8,6,7,5,1]=>1001011=>4
[3,2,5,4,8,6,7,1]=>1010101=>4
[3,2,6,4,5,1,8,7]=>1010101=>4
[3,2,6,4,5,7,1,8]=>1010010=>6
[3,2,7,4,5,6,1,8]=>1010010=>6
[3,2,8,4,5,6,7,1]=>1010001=>6
[3,2,7,4,6,5,1,8]=>1010110=>5
[3,2,7,4,6,5,8,1]=>1010101=>4
[3,2,8,4,6,5,7,1]=>1010101=>4
[3,2,7,5,4,6,1,8]=>1011010=>6
[3,2,8,5,4,6,7,1]=>1011001=>5
[3,2,8,5,4,7,6,1]=>1011011=>3
[3,2,7,5,6,4,1,8]=>1010110=>5
[3,2,7,5,6,4,8,1]=>1010101=>4
[3,2,8,5,6,4,7,1]=>1010101=>4
[3,2,8,5,7,6,4,1]=>1010111=>3
[3,2,8,6,5,7,4,1]=>1011011=>3
[3,2,8,7,5,6,4,1]=>1011011=>3
[4,2,3,1,5,7,6,8]=>1010010=>6
[4,2,3,1,5,7,8,6]=>1010001=>6
[4,2,3,1,6,5,8,7]=>1010101=>4
[4,2,3,1,6,7,8,5]=>1010001=>6
[4,2,3,1,6,8,7,5]=>1010011=>5
[4,2,3,1,7,6,8,5]=>1010101=>4
[4,2,3,1,8,6,7,5]=>1010101=>4
[4,2,3,1,8,7,6,5]=>1010111=>3
[4,2,3,5,1,6,8,7]=>1001001=>5
[4,2,3,5,1,7,8,6]=>1001001=>5
[4,2,3,5,1,8,7,6]=>1001011=>4
[4,2,3,5,6,1,8,7]=>1000101=>5
[4,2,3,5,6,8,7,1]=>1000011=>5
[4,2,3,5,7,6,1,8]=>1000110=>5
[4,2,3,5,8,7,6,1]=>1000111=>4
[4,2,3,6,5,1,7,8]=>1001100=>6
[4,2,3,6,5,1,8,7]=>1001101=>4
[4,2,3,6,5,8,7,1]=>1001011=>4
[4,2,3,7,5,6,1,8]=>1001010=>5
[4,2,3,7,5,6,8,1]=>1001001=>5
[4,2,3,8,5,6,7,1]=>1001001=>5
[4,2,3,8,5,7,6,1]=>1001011=>4
[4,2,3,7,6,5,8,1]=>1001101=>4
[4,2,3,8,6,7,5,1]=>1001011=>4
[4,2,3,8,7,6,5,1]=>1001111=>3
[5,2,3,4,1,6,8,7]=>1001001=>5
[5,2,3,4,1,7,8,6]=>1001001=>5
[5,2,3,4,1,8,7,6]=>1001011=>4
[5,2,3,4,6,1,8,7]=>1000101=>5
[5,2,3,4,7,6,1,8]=>1000110=>5
[5,2,3,4,8,6,7,1]=>1000101=>5
[5,2,3,4,8,7,6,1]=>1000111=>4
[6,2,3,4,5,1,8,7]=>1000101=>5
[6,2,3,4,5,8,7,1]=>1000011=>5
[8,2,3,4,5,7,6,1]=>1000011=>5
[7,2,3,4,6,5,1,8]=>1000110=>5
[8,2,3,4,7,6,5,1]=>1000111=>4
[6,2,3,5,4,1,7,8]=>1001100=>6
[6,2,3,5,4,1,8,7]=>1001101=>4
[6,2,3,5,4,7,1,8]=>1001010=>5
[6,2,3,5,4,7,8,1]=>1001001=>5
[7,2,3,5,4,6,1,8]=>1001010=>5
[8,2,3,5,4,6,7,1]=>1001001=>5
[8,2,3,5,4,7,6,1]=>1001011=>4
[7,2,3,5,6,4,1,8]=>1000110=>5
[8,2,3,5,6,7,4,1]=>1000011=>5
[8,2,3,5,7,6,4,1]=>1000111=>4
[7,2,3,6,5,4,1,8]=>1001110=>4
[8,2,3,6,5,4,7,1]=>1001101=>4
[8,2,3,7,5,6,4,1]=>1001011=>4
[8,2,3,7,6,5,4,1]=>1001111=>3
[5,2,4,3,1,6,7,8]=>1011000=>6
[5,2,4,3,1,6,8,7]=>1011001=>5
[5,2,4,3,1,7,6,8]=>1011010=>6
[5,2,4,3,1,8,7,6]=>1011011=>3
[5,2,4,3,6,1,7,8]=>1010100=>7
[5,2,4,3,6,1,8,7]=>1010101=>4
[5,2,4,3,6,7,1,8]=>1010010=>6
[5,2,4,3,7,6,1,8]=>1010110=>5
[5,2,4,3,7,6,8,1]=>1010101=>4
[5,2,4,3,8,7,6,1]=>1010111=>3
[6,2,4,3,5,1,8,7]=>1010101=>4
[7,2,4,3,6,5,1,8]=>1010110=>5
[7,2,4,3,6,5,8,1]=>1010101=>4
[8,2,4,3,6,5,7,1]=>1010101=>4
[8,2,4,3,6,7,5,1]=>1010011=>5
[8,2,4,3,7,6,5,1]=>1010111=>3
[6,2,4,5,3,1,7,8]=>1001100=>6
[6,2,4,5,3,1,8,7]=>1001101=>4
[6,2,4,5,3,8,7,1]=>1001011=>4
[7,2,4,5,3,6,1,8]=>1001010=>5
[7,2,4,5,3,6,8,1]=>1001001=>5
[8,2,4,5,3,7,6,1]=>1001011=>4
[8,2,4,5,6,3,7,1]=>1000101=>5
[8,2,4,5,6,7,3,1]=>1000011=>5
[8,2,4,5,7,6,3,1]=>1000111=>4
[7,2,4,6,5,3,1,8]=>1001110=>4
[7,2,4,6,5,3,8,1]=>1001101=>4
[8,2,4,7,5,6,3,1]=>1001011=>4
[8,2,4,7,6,5,3,1]=>1001111=>3
[6,2,5,4,3,1,7,8]=>1011100=>5
[6,2,5,4,3,1,8,7]=>1011101=>4
[6,2,5,4,3,7,1,8]=>1011010=>6
[6,2,5,4,3,7,8,1]=>1011001=>5
[7,2,5,4,3,6,1,8]=>1011010=>6
[8,2,5,4,3,6,7,1]=>1011001=>5
[8,2,5,4,3,7,6,1]=>1011011=>3
[7,2,5,4,6,3,8,1]=>1010101=>4
[8,2,5,4,7,6,3,1]=>1010111=>3
[7,2,6,4,5,3,1,8]=>1010110=>5
[7,2,6,4,5,3,8,1]=>1010101=>4
[8,2,6,4,5,3,7,1]=>1010101=>4
[8,2,6,4,5,7,3,1]=>1010011=>5
[8,2,7,4,5,6,3,1]=>1010011=>5
[8,2,7,4,6,5,3,1]=>1010111=>3
[7,2,6,5,4,3,1,8]=>1011110=>4
[7,2,6,5,4,3,8,1]=>1011101=>4
[8,2,6,5,4,3,7,1]=>1011101=>4
[8,2,6,5,4,7,3,1]=>1011011=>3
[8,2,7,5,4,6,3,1]=>1011011=>3
[8,2,7,5,6,4,3,1]=>1010111=>3
[8,2,7,6,5,4,3,1]=>1011111=>2
[4,3,2,1,8,6,7,5]=>1110101=>6
[4,3,2,7,5,6,8,1]=>1101001=>6
[4,3,2,8,5,6,7,1]=>1101001=>6
[4,3,2,8,5,7,6,1]=>1101011=>5
[4,3,2,8,6,7,5,1]=>1101011=>5
[5,3,2,4,1,6,8,7]=>1101001=>6
[5,3,2,4,1,7,6,8]=>1101010=>7
[5,3,2,4,1,8,7,6]=>1101011=>5
[5,3,2,4,6,1,8,7]=>1100101=>6
[5,3,2,4,7,6,1,8]=>1100110=>6
[8,3,2,4,6,5,7,1]=>1100101=>6
[8,3,2,4,6,7,5,1]=>1100011=>5
[8,3,2,4,7,6,5,1]=>1100111=>4
[6,3,2,5,4,1,7,8]=>1101100=>7
[6,3,2,5,4,1,8,7]=>1101101=>5
[6,3,2,5,4,7,1,8]=>1101010=>7
[6,3,2,5,4,7,8,1]=>1101001=>6
[6,3,2,5,4,8,7,1]=>1101011=>5
[7,3,2,5,4,6,1,8]=>1101010=>7
[8,3,2,5,4,7,6,1]=>1101011=>5
[7,3,2,5,6,4,8,1]=>1100101=>6
[8,3,2,5,6,4,7,1]=>1100101=>6
[8,3,2,5,6,7,4,1]=>1100011=>5
[8,3,2,5,7,6,4,1]=>1100111=>4
[8,3,2,6,5,7,4,1]=>1101011=>5
[8,3,2,7,5,6,4,1]=>1101011=>5
[8,3,2,7,6,5,4,1]=>1101111=>3
[5,3,4,2,1,6,8,7]=>1011001=>5
[5,3,4,2,1,7,8,6]=>1011001=>5
[5,3,4,2,1,8,7,6]=>1011011=>3
[5,3,4,2,6,1,8,7]=>1010101=>4
[5,3,4,2,7,6,1,8]=>1010110=>5
[5,3,4,2,7,6,8,1]=>1010101=>4
[5,3,4,2,8,6,7,1]=>1010101=>4
[6,3,4,2,5,1,8,7]=>1010101=>4
[7,3,4,2,6,5,1,8]=>1010110=>5
[7,3,4,2,6,5,8,1]=>1010101=>4
[8,3,4,2,6,5,7,1]=>1010101=>4
[6,3,4,5,2,1,8,7]=>1001101=>4
[6,3,4,5,2,8,7,1]=>1001011=>4
[8,3,4,5,2,7,6,1]=>1001011=>4
[8,3,4,5,7,6,2,1]=>1000111=>4
[7,3,4,6,5,2,1,8]=>1001110=>4
[8,3,4,7,6,5,2,1]=>1001111=>3
[6,3,5,4,2,1,8,7]=>1011101=>4
[6,3,5,4,2,7,1,8]=>1011010=>6
[6,3,5,4,2,7,8,1]=>1011001=>5
[6,3,5,4,2,8,7,1]=>1011011=>3
[7,3,5,4,2,6,1,8]=>1011010=>6
[8,3,5,4,2,6,7,1]=>1011001=>5
[8,3,5,4,2,7,6,1]=>1011011=>3
[7,3,5,4,6,2,1,8]=>1010110=>5
[7,3,5,4,6,2,8,1]=>1010101=>4
[8,3,5,4,6,7,2,1]=>1010011=>5
[8,3,5,4,7,6,2,1]=>1010111=>3
[7,3,6,4,5,2,1,8]=>1010110=>5
[7,3,6,4,5,2,8,1]=>1010101=>4
[8,3,6,4,5,2,7,1]=>1010101=>4
[8,3,6,4,5,7,2,1]=>1010011=>5
[8,3,7,4,5,6,2,1]=>1010011=>5
[8,3,7,4,6,5,2,1]=>1010111=>3
[7,3,6,5,4,2,1,8]=>1011110=>4
[7,3,6,5,4,2,8,1]=>1011101=>4
[8,3,6,5,4,2,7,1]=>1011101=>4
[8,3,6,5,4,7,2,1]=>1011011=>3
[8,3,7,5,4,6,2,1]=>1011011=>3
[8,3,7,5,6,4,2,1]=>1010111=>3
[8,3,7,6,5,4,2,1]=>1011111=>2
[5,4,3,2,8,6,7,1]=>1110101=>6
[6,4,3,2,5,1,8,7]=>1110101=>6
[6,4,3,2,5,8,7,1]=>1110011=>5
[8,4,3,2,5,7,6,1]=>1110011=>5
[7,4,3,2,6,5,1,8]=>1110110=>7
[7,4,3,2,6,5,8,1]=>1110101=>6
[8,4,3,2,6,5,7,1]=>1110101=>6
[8,4,3,2,6,7,5,1]=>1110011=>5
[8,4,3,2,7,6,5,1]=>1110111=>4
[6,4,3,5,2,1,8,7]=>1101101=>5
[8,4,3,5,2,7,6,1]=>1101011=>5
[8,4,3,5,7,6,2,1]=>1100111=>4
[7,4,3,6,5,2,1,8]=>1101110=>6
[7,4,3,6,5,2,8,1]=>1101101=>5
[8,4,3,7,5,6,2,1]=>1101011=>5
[8,4,3,7,6,5,2,1]=>1101111=>3
[6,5,3,4,2,1,8,7]=>1101101=>5
[8,5,3,4,2,7,6,1]=>1101011=>5
[8,5,3,4,7,6,2,1]=>1100111=>4
[8,7,3,4,6,5,2,1]=>1100111=>4
[7,6,3,5,4,2,1,8]=>1101110=>6
[7,6,3,5,4,2,8,1]=>1101101=>5
[8,6,3,5,4,2,7,1]=>1101101=>5
[8,6,3,5,4,7,2,1]=>1101011=>5
[8,7,3,5,4,6,2,1]=>1101011=>5
[8,7,3,5,6,4,2,1]=>1100111=>4
[8,7,3,6,5,4,2,1]=>1101111=>3
[8,5,4,3,2,7,6,1]=>1111011=>5
[8,5,4,3,7,6,2,1]=>1110111=>4
[8,7,4,3,6,5,2,1]=>1110111=>4
[8,7,4,6,5,3,2,1]=>1101111=>3
[2,4,1,3,6,5,8,7]=>0100101=>2
[2,1,4,6,3,5,8,7]=>1001001=>5
[2,4,1,6,3,5,8,7]=>0101001=>3
[2,4,6,1,3,5,8,7]=>0010001=>2
[2,1,4,3,6,8,5,7]=>1010010=>6
[2,4,1,3,6,8,5,7]=>0100010=>4
[2,1,4,6,3,8,5,7]=>1001010=>5
[2,4,1,6,3,8,5,7]=>0101010=>4
[2,4,6,1,3,8,5,7]=>0010010=>3
[2,1,4,6,8,3,5,7]=>1000100=>6
[2,4,1,6,8,3,5,7]=>0100100=>5
[2,4,6,1,8,3,5,7]=>0010100=>3
[2,4,6,8,1,3,5,7]=>0001000=>4
[2,4,1,3,6,5,7,8]=>0100100=>5
[2,1,4,6,3,5,7,8]=>1001000=>7
[2,4,1,6,3,5,7,8]=>0101000=>5
[2,4,6,1,3,5,7,8]=>0010000=>5
[2,1,4,6,3,7,5,8]=>1001010=>5
[2,4,1,6,3,7,5,8]=>0101010=>4
[2,4,6,1,3,7,5,8]=>0010010=>3
[2,4,6,7,1,3,5,8]=>0001000=>4
[2,4,1,3,6,7,8,5]=>0100001=>4
[2,1,4,6,3,7,8,5]=>1001001=>5
[2,4,1,6,3,7,8,5]=>0101001=>3
[2,4,6,1,3,7,8,5]=>0010001=>2
[2,1,4,6,7,3,8,5]=>1000101=>5
[2,4,1,6,7,3,8,5]=>0100101=>2
[2,4,6,1,7,3,8,5]=>0010101=>1
[2,4,6,7,1,3,8,5]=>0001001=>1
[2,1,4,6,7,8,3,5]=>1000010=>6
[2,4,1,6,7,8,3,5]=>0100010=>4
[2,4,6,1,7,8,3,5]=>0010010=>3
[2,4,6,7,1,8,3,5]=>0001010=>2
[2,4,6,7,8,1,3,5]=>0000100=>3
[2,1,4,3,7,5,8,6]=>1010101=>4
[2,4,1,3,7,5,8,6]=>0100101=>2
[2,1,4,7,3,5,8,6]=>1001001=>5
[2,4,1,7,3,5,8,6]=>0101001=>3
[2,4,7,1,3,5,8,6]=>0010001=>2
[2,1,4,3,7,8,5,6]=>1010010=>6
[2,4,1,3,7,8,5,6]=>0100010=>4
[2,4,1,7,3,8,5,6]=>0101010=>4
[2,1,4,7,8,3,5,6]=>1000100=>6
[2,4,1,7,8,3,5,6]=>0100100=>5
[2,4,7,1,8,3,5,6]=>0010100=>3
[2,4,7,8,1,3,5,6]=>0001000=>4
[2,4,1,5,3,7,6,8]=>0101010=>4
[2,4,5,1,3,7,6,8]=>0010010=>3
[2,4,5,1,7,3,6,8]=>0010100=>3
[2,4,1,3,5,7,8,6]=>0100001=>4
[2,4,1,5,3,7,8,6]=>0101001=>3
[2,4,5,1,3,7,8,6]=>0010001=>2
[2,1,4,5,7,3,8,6]=>1000101=>5
[2,4,1,5,7,3,8,6]=>0100101=>2
[2,4,5,1,7,3,8,6]=>0010101=>1
[2,4,5,7,1,3,8,6]=>0001001=>1
[2,1,4,5,7,8,3,6]=>1000010=>6
[2,4,5,1,7,8,3,6]=>0010010=>3
[2,4,5,7,1,8,3,6]=>0001010=>2
[2,4,5,7,8,1,3,6]=>0000100=>3
[2,1,4,3,8,5,6,7]=>1010100=>7
[2,4,1,3,8,5,6,7]=>0100100=>5
[2,1,4,8,3,5,6,7]=>1001000=>7
[2,4,1,8,3,5,6,7]=>0101000=>5
[2,4,8,1,3,5,6,7]=>0010000=>5
[2,1,4,3,5,8,6,7]=>1010010=>6
[2,4,1,5,3,8,6,7]=>0101010=>4
[2,1,4,5,8,3,6,7]=>1000100=>6
[2,4,1,5,8,3,6,7]=>0100100=>5
[2,4,5,1,8,3,6,7]=>0010100=>3
[2,4,5,8,1,3,6,7]=>0001000=>4
[2,4,1,5,3,6,8,7]=>0101001=>3
[2,4,1,5,6,3,8,7]=>0100101=>2
[2,4,5,1,6,3,8,7]=>0010101=>1
[2,4,5,6,1,3,8,7]=>0001001=>1
[2,1,4,5,6,8,3,7]=>1000010=>6
[2,4,1,5,6,8,3,7]=>0100010=>4
[2,4,5,1,6,8,3,7]=>0010010=>3
[2,4,5,6,1,8,3,7]=>0001010=>2
[2,4,5,6,8,1,3,7]=>0000100=>3
[2,4,1,3,5,6,7,8]=>0100000=>6
[2,4,1,5,3,6,7,8]=>0101000=>5
[2,4,5,1,3,6,7,8]=>0010000=>5
[2,4,1,5,6,3,7,8]=>0100100=>5
[2,4,5,1,6,3,7,8]=>0010100=>3
[2,4,5,6,1,3,7,8]=>0001000=>4
[2,4,1,5,6,7,3,8]=>0100010=>4
[2,4,5,6,1,7,3,8]=>0001010=>2
[2,4,5,6,7,1,3,8]=>0000100=>3
[2,4,1,5,6,7,8,3]=>0100001=>4
[2,4,5,1,6,7,8,3]=>0010001=>2
[2,4,5,6,1,7,8,3]=>0001001=>1
[2,4,5,6,7,1,8,3]=>0000101=>1
[2,4,5,6,7,8,1,3]=>0000010=>2
[2,1,5,3,6,4,8,7]=>1010101=>4
[2,5,1,3,6,4,8,7]=>0100101=>2
[2,1,5,6,3,4,8,7]=>1001001=>5
[2,5,1,6,3,4,8,7]=>0101001=>3
[2,5,6,1,3,4,8,7]=>0010001=>2
[2,1,5,3,6,8,4,7]=>1010010=>6
[2,5,1,3,6,8,4,7]=>0100010=>4
[2,5,1,6,3,8,4,7]=>0101010=>4
[2,5,6,1,3,8,4,7]=>0010010=>3
[2,1,5,6,8,3,4,7]=>1000100=>6
[2,5,1,6,8,3,4,7]=>0100100=>5
[2,5,6,8,1,3,4,7]=>0001000=>4
[2,5,1,3,6,4,7,8]=>0100100=>5
[2,1,5,6,3,4,7,8]=>1001000=>7
[2,5,1,6,3,4,7,8]=>0101000=>5
[2,1,5,3,6,7,4,8]=>1010010=>6
[2,1,5,6,3,7,4,8]=>1001010=>5
[2,5,1,6,3,7,4,8]=>0101010=>4
[2,5,6,1,3,7,4,8]=>0010010=>3
[2,1,5,6,7,3,4,8]=>1000100=>6
[2,5,1,6,7,3,4,8]=>0100100=>5
[2,5,6,1,7,3,4,8]=>0010100=>3
[2,1,5,3,6,7,8,4]=>1010001=>6
[2,5,1,3,6,7,8,4]=>0100001=>4
[2,1,5,6,3,7,8,4]=>1001001=>5
[2,5,1,6,3,7,8,4]=>0101001=>3
[2,5,6,1,3,7,8,4]=>0010001=>2
[2,1,5,6,7,3,8,4]=>1000101=>5
[2,5,1,6,7,3,8,4]=>0100101=>2
[2,5,6,7,1,3,8,4]=>0001001=>1
[2,1,5,6,7,8,3,4]=>1000010=>6
[2,5,1,6,7,8,3,4]=>0100010=>4
[2,5,6,1,7,8,3,4]=>0010010=>3
[2,5,6,7,1,8,3,4]=>0001010=>2
[2,5,6,7,8,1,3,4]=>0000100=>3
[2,1,5,3,7,4,8,6]=>1010101=>4
[2,5,1,3,7,4,8,6]=>0100101=>2
[2,1,5,7,3,4,8,6]=>1001001=>5
[2,5,1,7,3,4,8,6]=>0101001=>3
[2,5,7,1,3,4,8,6]=>0010001=>2
[2,1,5,3,7,8,4,6]=>1010010=>6
[2,5,1,3,7,8,4,6]=>0100010=>4
[2,1,5,7,3,8,4,6]=>1001010=>5
[2,1,5,7,8,3,4,6]=>1000100=>6
[2,5,1,7,8,3,4,6]=>0100100=>5
[2,5,7,1,8,3,4,6]=>0010100=>3
[2,5,7,8,1,3,4,6]=>0001000=>4
[2,5,1,3,7,4,6,8]=>0100100=>5
[2,1,5,7,3,4,6,8]=>1001000=>7
[2,3,5,1,4,7,6,8]=>0010010=>3
[2,3,5,7,1,4,6,8]=>0001000=>4
[2,3,5,1,7,4,8,6]=>0010101=>1
[2,3,5,7,1,4,8,6]=>0001001=>1
[2,3,1,5,7,8,4,6]=>0100010=>4
[2,3,5,7,1,8,4,6]=>0001010=>2
[2,3,5,7,8,1,4,6]=>0000100=>3
[2,1,5,3,8,4,6,7]=>1010100=>7
[2,5,1,3,8,4,6,7]=>0100100=>5
[2,1,5,8,3,4,6,7]=>1001000=>7
[2,5,1,8,3,4,6,7]=>0101000=>5
[2,5,8,1,3,4,6,7]=>0010000=>5
[2,3,5,1,4,8,6,7]=>0010010=>3
[2,1,3,5,8,4,6,7]=>1000100=>6
[2,3,5,1,8,4,6,7]=>0010100=>3
[2,3,5,8,1,4,6,7]=>0001000=>4
[2,1,5,3,4,6,8,7]=>1010001=>6
[2,3,5,1,6,4,8,7]=>0010101=>1
[2,3,5,6,1,4,8,7]=>0001001=>1
[2,3,1,5,6,8,4,7]=>0100010=>4
[2,3,5,1,6,8,4,7]=>0010010=>3
[2,3,5,6,1,8,4,7]=>0001010=>2
[2,3,5,6,8,1,4,7]=>0000100=>3
[2,1,5,3,4,6,7,8]=>1010000=>7
[2,5,1,3,4,6,7,8]=>0100000=>6
[2,3,5,1,4,6,7,8]=>0010000=>5
[2,3,5,1,6,4,7,8]=>0010100=>3
[2,3,5,6,1,4,7,8]=>0001000=>4
[2,3,5,6,1,7,4,8]=>0001010=>2
[2,3,5,6,7,1,4,8]=>0000100=>3
[2,3,5,1,6,7,8,4]=>0010001=>2
[2,3,5,6,1,7,8,4]=>0001001=>1
[2,3,5,6,7,1,8,4]=>0000101=>1
[2,3,5,6,7,8,1,4]=>0000010=>2
[2,1,6,3,7,4,8,5]=>1010101=>4
[2,6,1,3,7,4,8,5]=>0100101=>2
[2,1,6,7,3,4,8,5]=>1001001=>5
[2,6,1,7,3,4,8,5]=>0101001=>3
[2,6,7,1,3,4,8,5]=>0010001=>2
[2,1,6,3,7,8,4,5]=>1010010=>6
[2,6,1,3,7,8,4,5]=>0100010=>4
[2,1,6,7,3,8,4,5]=>1001010=>5
[2,6,1,7,3,8,4,5]=>0101010=>4
[2,1,6,7,8,3,4,5]=>1000100=>6
[2,6,1,7,8,3,4,5]=>0100100=>5
[2,6,7,1,8,3,4,5]=>0010100=>3
[2,6,7,8,1,3,4,5]=>0001000=>4
[2,1,6,3,7,4,5,8]=>1010100=>7
[2,6,1,7,3,4,5,8]=>0101000=>5
[2,6,7,1,3,4,5,8]=>0010000=>5
[2,6,1,3,4,7,5,8]=>0100010=>4
[2,3,1,6,4,7,5,8]=>0101010=>4
[2,3,6,1,4,7,5,8]=>0010010=>3
[2,3,6,7,1,4,5,8]=>0001000=>4
[2,1,6,3,4,7,8,5]=>1010001=>6
[2,6,1,3,4,7,8,5]=>0100001=>4
[2,3,6,1,4,7,8,5]=>0010001=>2
[2,1,3,6,7,4,8,5]=>1000101=>5
[2,3,6,7,1,4,8,5]=>0001001=>1
[2,1,3,6,7,8,4,5]=>1000010=>6
[2,3,1,6,7,8,4,5]=>0100010=>4
[2,3,6,1,7,8,4,5]=>0010010=>3
[2,3,6,7,1,8,4,5]=>0001010=>2
[2,3,6,7,8,1,4,5]=>0000100=>3
[2,1,6,3,8,4,5,7]=>1010100=>7
[2,6,1,3,8,4,5,7]=>0100100=>5
[2,1,6,8,3,4,5,7]=>1001000=>7
[2,6,1,8,3,4,5,7]=>0101000=>5
[2,6,8,1,3,4,5,7]=>0010000=>5
[2,1,6,3,4,8,5,7]=>1010010=>6
[2,6,1,3,4,8,5,7]=>0100010=>4
[2,3,1,6,4,8,5,7]=>0101010=>4
[2,3,6,1,4,8,5,7]=>0010010=>3
[2,3,1,6,8,4,5,7]=>0100100=>5
[2,3,6,1,8,4,5,7]=>0010100=>3
[2,3,6,8,1,4,5,7]=>0001000=>4
[2,1,6,3,4,5,8,7]=>1010001=>6
[2,6,1,3,4,5,8,7]=>0100001=>4
[2,1,3,6,4,5,8,7]=>1001001=>5
[2,3,6,1,4,5,8,7]=>0010001=>2
[2,3,4,1,6,8,5,7]=>0010010=>3
[2,3,4,6,1,8,5,7]=>0001010=>2
[2,3,4,6,8,1,5,7]=>0000100=>3
[2,6,1,3,4,5,7,8]=>0100000=>6
[2,1,3,6,4,5,7,8]=>1001000=>7
[2,3,1,6,4,5,7,8]=>0101000=>5
[2,3,6,1,4,5,7,8]=>0010000=>5
[2,3,4,6,1,5,7,8]=>0001000=>4
[2,3,4,6,1,7,5,8]=>0001010=>2
[2,3,4,6,7,1,5,8]=>0000100=>3
[2,3,4,6,1,7,8,5]=>0001001=>1
[2,3,4,6,7,8,1,5]=>0000010=>2
[2,1,7,3,8,4,5,6]=>1010100=>7
[2,7,1,3,8,4,5,6]=>0100100=>5
[2,1,7,8,3,4,5,6]=>1001000=>7
[2,7,1,8,3,4,5,6]=>0101000=>5
[2,7,8,1,3,4,5,6]=>0010000=>5
[2,1,7,3,4,8,5,6]=>1010010=>6
[2,7,1,3,4,8,5,6]=>0100010=>4
[2,1,3,7,4,8,5,6]=>1001010=>5
[2,3,1,7,4,8,5,6]=>0101010=>4
[2,3,7,1,4,8,5,6]=>0010010=>3
[2,1,3,7,8,4,5,6]=>1000100=>6
[2,3,1,7,8,4,5,6]=>0100100=>5
[2,3,7,8,1,4,5,6]=>0001000=>4
[2,1,7,3,4,5,8,6]=>1010001=>6
[2,7,1,3,4,5,8,6]=>0100001=>4
[2,3,1,7,4,5,8,6]=>0101001=>3
[2,3,7,1,4,5,8,6]=>0010001=>2
[2,1,3,4,7,5,8,6]=>1000101=>5
[2,3,4,1,7,5,8,6]=>0010101=>1
[2,3,4,7,1,5,8,6]=>0001001=>1
[2,1,3,4,7,8,5,6]=>1000010=>6
[2,3,1,4,7,8,5,6]=>0100010=>4
[2,3,4,1,7,8,5,6]=>0010010=>3
[2,3,4,7,1,8,5,6]=>0001010=>2
[2,3,4,7,8,1,5,6]=>0000100=>3
[2,1,7,3,4,5,6,8]=>1010000=>7
[2,7,1,3,4,5,6,8]=>0100000=>6
[2,3,7,1,4,5,6,8]=>0010000=>5
[2,1,3,4,7,5,6,8]=>1000100=>6
[2,3,1,4,7,5,6,8]=>0100100=>5
[2,3,4,1,7,5,6,8]=>0010100=>3
[2,3,4,7,1,5,6,8]=>0001000=>4
[2,3,4,5,7,1,6,8]=>0000100=>3
[2,3,4,5,7,1,8,6]=>0000101=>1
[2,3,4,5,7,8,1,6]=>0000010=>2
[2,1,8,3,4,5,6,7]=>1010000=>7
[2,8,1,3,4,5,6,7]=>0100000=>6
[2,1,3,8,4,5,6,7]=>1001000=>7
[2,3,1,8,4,5,6,7]=>0101000=>5
[2,3,8,1,4,5,6,7]=>0010000=>5
[2,1,3,4,8,5,6,7]=>1000100=>6
[2,3,1,4,8,5,6,7]=>0100100=>5
[2,3,4,1,8,5,6,7]=>0010100=>3
[2,3,4,8,1,5,6,7]=>0001000=>4
[2,1,3,4,5,8,6,7]=>1000010=>6
[2,3,1,4,5,8,6,7]=>0100010=>4
[2,3,4,1,5,8,6,7]=>0010010=>3
[2,3,4,5,1,8,6,7]=>0001010=>2
[2,3,4,5,8,1,6,7]=>0000100=>3
[2,3,4,5,6,8,1,7]=>0000010=>2
[3,1,4,2,6,5,8,7]=>1010101=>4
[3,4,1,2,6,5,8,7]=>0100101=>2
[3,1,4,6,2,5,8,7]=>1001001=>5
[3,4,1,6,2,5,8,7]=>0101001=>3
[3,4,6,1,2,5,8,7]=>0010001=>2
[3,1,4,2,6,8,5,7]=>1010010=>6
[3,4,1,2,6,8,5,7]=>0100010=>4
[3,1,4,6,2,8,5,7]=>1001010=>5
[3,4,1,6,2,8,5,7]=>0101010=>4
[3,1,4,6,8,2,5,7]=>1000100=>6
[3,4,1,6,8,2,5,7]=>0100100=>5
[3,4,6,8,1,2,5,7]=>0001000=>4
[3,1,4,2,6,5,7,8]=>1010100=>7
[3,4,1,2,6,5,7,8]=>0100100=>5
[3,1,4,2,6,7,5,8]=>1010010=>6
[3,4,1,2,6,7,5,8]=>0100010=>4
[3,4,1,6,2,7,5,8]=>0101010=>4
[3,4,6,1,2,7,5,8]=>0010010=>3
[3,4,1,6,7,2,5,8]=>0100100=>5
[3,4,6,7,1,2,5,8]=>0001000=>4
[3,1,4,2,6,7,8,5]=>1010001=>6
[3,4,1,2,6,7,8,5]=>0100001=>4
[3,1,4,6,2,7,8,5]=>1001001=>5
[3,4,1,6,2,7,8,5]=>0101001=>3
[3,4,6,1,2,7,8,5]=>0010001=>2
[3,1,4,6,7,2,8,5]=>1000101=>5
[3,4,1,6,7,2,8,5]=>0100101=>2
[3,4,6,1,7,2,8,5]=>0010101=>1
[3,4,6,7,1,2,8,5]=>0001001=>1
[3,1,4,6,7,8,2,5]=>1000010=>6
[3,4,1,6,7,8,2,5]=>0100010=>4
[3,4,6,1,7,8,2,5]=>0010010=>3
[3,4,6,7,1,8,2,5]=>0001010=>2
[3,4,6,7,8,1,2,5]=>0000100=>3
[3,1,4,2,7,5,8,6]=>1010101=>4
[3,4,1,2,7,5,8,6]=>0100101=>2
[3,1,4,7,2,5,8,6]=>1001001=>5
[3,4,1,7,2,5,8,6]=>0101001=>3
[3,4,7,1,2,5,8,6]=>0010001=>2
[3,1,4,2,7,8,5,6]=>1010010=>6
[3,4,1,2,7,8,5,6]=>0100010=>4
[3,1,4,7,2,8,5,6]=>1001010=>5
[3,4,7,1,8,2,5,6]=>0010100=>3
[3,4,7,8,1,2,5,6]=>0001000=>4
[3,1,4,2,7,5,6,8]=>1010100=>7
[3,4,1,2,7,5,6,8]=>0100100=>5
[3,4,1,2,5,7,6,8]=>0100010=>4
[3,1,4,5,2,7,6,8]=>1001010=>5
[3,4,1,5,2,7,6,8]=>0101010=>4
[3,4,1,5,7,2,6,8]=>0100100=>5
[3,4,5,7,1,2,6,8]=>0001000=>4
[3,1,4,2,5,7,8,6]=>1010001=>6
[3,4,1,2,5,7,8,6]=>0100001=>4
[3,1,4,5,2,7,8,6]=>1001001=>5
[3,4,5,1,2,7,8,6]=>0010001=>2
[3,1,4,5,7,2,8,6]=>1000101=>5
[3,4,1,5,7,2,8,6]=>0100101=>2
[3,4,5,7,1,2,8,6]=>0001001=>1
[3,1,4,5,7,8,2,6]=>1000010=>6
[3,4,1,5,7,8,2,6]=>0100010=>4
[3,4,5,1,7,8,2,6]=>0010010=>3
[3,4,5,7,1,8,2,6]=>0001010=>2
[3,4,5,7,8,1,2,6]=>0000100=>3
[3,1,4,2,8,5,6,7]=>1010100=>7
[3,4,1,2,8,5,6,7]=>0100100=>5
[3,1,4,8,2,5,6,7]=>1001000=>7
[3,4,1,8,2,5,6,7]=>0101000=>5
[3,4,8,1,2,5,6,7]=>0010000=>5
[3,1,4,2,5,8,6,7]=>1010010=>6
[3,4,1,2,5,8,6,7]=>0100010=>4
[3,4,1,5,2,8,6,7]=>0101010=>4
[3,4,5,1,2,8,6,7]=>0010010=>3
[3,1,4,5,8,2,6,7]=>1000100=>6
[3,4,1,5,8,2,6,7]=>0100100=>5
[3,4,5,8,1,2,6,7]=>0001000=>4
[3,4,1,2,5,6,8,7]=>0100001=>4
[3,4,5,1,2,6,8,7]=>0010001=>2
[3,1,4,5,6,2,8,7]=>1000101=>5
[3,4,1,5,6,2,8,7]=>0100101=>2
[3,4,5,1,6,2,8,7]=>0010101=>1
[3,4,5,6,1,2,8,7]=>0001001=>1
[3,1,4,5,6,8,2,7]=>1000010=>6
[3,4,1,5,6,8,2,7]=>0100010=>4
[3,4,5,6,1,8,2,7]=>0001010=>2
[3,4,5,6,8,1,2,7]=>0000100=>3
[3,1,4,2,5,6,7,8]=>1010000=>7
[3,1,4,5,2,6,7,8]=>1001000=>7
[3,4,1,5,2,6,7,8]=>0101000=>5
[3,1,4,5,6,2,7,8]=>1000100=>6
[3,4,1,5,6,2,7,8]=>0100100=>5
[3,4,5,1,6,2,7,8]=>0010100=>3
[3,1,4,5,6,7,2,8]=>1000010=>6
[3,4,1,5,6,7,2,8]=>0100010=>4
[3,4,5,1,6,7,2,8]=>0010010=>3
[3,4,5,6,1,7,2,8]=>0001010=>2
[3,1,4,5,6,7,8,2]=>1000001=>6
[3,4,1,5,6,7,8,2]=>0100001=>4
[3,4,5,1,6,7,8,2]=>0010001=>2
[3,4,5,6,1,7,8,2]=>0001001=>1
[3,4,5,6,7,1,8,2]=>0000101=>1
[3,1,5,2,6,4,8,7]=>1010101=>4
[3,5,1,2,6,4,8,7]=>0100101=>2
[3,1,5,6,2,4,8,7]=>1001001=>5
[3,5,1,6,2,4,8,7]=>0101001=>3
[3,5,6,1,2,4,8,7]=>0010001=>2
[3,1,5,2,6,8,4,7]=>1010010=>6
[3,5,1,2,6,8,4,7]=>0100010=>4
[3,1,5,6,2,8,4,7]=>1001010=>5
[3,5,6,1,2,8,4,7]=>0010010=>3
[3,1,5,6,8,2,4,7]=>1000100=>6
[3,5,1,6,8,2,4,7]=>0100100=>5
[3,5,6,1,8,2,4,7]=>0010100=>3
[3,5,6,8,1,2,4,7]=>0001000=>4
[3,1,5,6,2,4,7,8]=>1001000=>7
[3,5,1,6,2,4,7,8]=>0101000=>5
[3,5,6,1,2,4,7,8]=>0010000=>5
[3,5,1,2,6,7,4,8]=>0100010=>4
[3,5,1,6,2,7,4,8]=>0101010=>4
[3,5,6,1,2,7,4,8]=>0010010=>3
[3,5,1,6,7,2,4,8]=>0100100=>5
[3,5,6,1,7,2,4,8]=>0010100=>3
[3,5,6,7,1,2,4,8]=>0001000=>4
[3,1,5,2,6,7,8,4]=>1010001=>6
[3,5,1,2,6,7,8,4]=>0100001=>4
[3,1,5,6,2,7,8,4]=>1001001=>5
[3,5,1,6,2,7,8,4]=>0101001=>3
[3,5,6,1,2,7,8,4]=>0010001=>2
[3,1,5,6,7,2,8,4]=>1000101=>5
[3,5,1,6,7,2,8,4]=>0100101=>2
[3,5,6,1,7,2,8,4]=>0010101=>1
[3,5,6,7,1,2,8,4]=>0001001=>1
[3,1,5,6,7,8,2,4]=>1000010=>6
[3,5,1,6,7,8,2,4]=>0100010=>4
[3,5,6,1,7,8,2,4]=>0010010=>3
[3,5,6,7,1,8,2,4]=>0001010=>2
[3,5,6,7,8,1,2,4]=>0000100=>3
[3,1,5,2,7,4,8,6]=>1010101=>4
[3,5,1,2,7,4,8,6]=>0100101=>2
[3,1,5,7,2,4,8,6]=>1001001=>5
[3,5,1,7,2,4,8,6]=>0101001=>3
[3,5,7,1,2,4,8,6]=>0010001=>2
[3,1,5,2,7,8,4,6]=>1010010=>6
[3,5,1,2,7,8,4,6]=>0100010=>4
[3,1,5,7,2,8,4,6]=>1001010=>5
[3,5,1,7,2,8,4,6]=>0101010=>4
[3,1,5,7,8,2,4,6]=>1000100=>6
[3,5,1,7,8,2,4,6]=>0100100=>5
[3,5,7,8,1,2,4,6]=>0001000=>4
[3,1,5,2,7,4,6,8]=>1010100=>7
[3,5,1,2,7,4,6,8]=>0100100=>5
[3,1,5,7,2,4,6,8]=>1001000=>7
[3,5,1,7,2,4,6,8]=>0101000=>5
[3,5,7,1,2,4,6,8]=>0010000=>5
[3,1,5,2,4,7,6,8]=>1010010=>6
[3,5,1,2,4,7,6,8]=>0100010=>4
[3,1,2,5,4,7,6,8]=>1001010=>5
[1,3,5,2,4,7,6,8]=>0010010=>3
[3,1,2,5,7,4,6,8]=>1000100=>6
[1,3,2,5,7,4,6,8]=>0100100=>5
[1,3,5,2,7,4,6,8]=>0010100=>3
[1,3,5,7,2,4,6,8]=>0001000=>4
[3,1,5,2,4,7,8,6]=>1010001=>6
[3,5,1,2,4,7,8,6]=>0100001=>4
[1,3,5,2,4,7,8,6]=>0010001=>2
[3,1,2,5,7,4,8,6]=>1000101=>5
[1,3,2,5,7,4,8,6]=>0100101=>2
[1,3,5,2,7,4,8,6]=>0010101=>1
[1,3,5,7,2,4,8,6]=>0001001=>1
[3,1,2,5,7,8,4,6]=>1000010=>6
[1,3,2,5,7,8,4,6]=>0100010=>4
[1,3,5,2,7,8,4,6]=>0010010=>3
[1,3,5,7,2,8,4,6]=>0001010=>2
[1,3,5,7,8,2,4,6]=>0000100=>3
[3,1,5,2,8,4,6,7]=>1010100=>7
[3,5,1,2,8,4,6,7]=>0100100=>5
[3,1,5,8,2,4,6,7]=>1001000=>7
[3,5,1,8,2,4,6,7]=>0101000=>5
[3,1,5,2,4,8,6,7]=>1010010=>6
[3,5,1,2,4,8,6,7]=>0100010=>4
[1,3,2,5,4,8,6,7]=>0101010=>4
[1,3,5,2,4,8,6,7]=>0010010=>3
[3,1,2,5,8,4,6,7]=>1000100=>6
[1,3,2,5,8,4,6,7]=>0100100=>5
[1,3,5,2,8,4,6,7]=>0010100=>3
[1,3,5,8,2,4,6,7]=>0001000=>4
[3,1,5,2,4,6,8,7]=>1010001=>6
[3,5,1,2,4,6,8,7]=>0100001=>4
[3,1,2,5,4,6,8,7]=>1001001=>5
[1,3,5,2,4,6,8,7]=>0010001=>2
[1,3,5,6,2,4,8,7]=>0001001=>1
[3,1,2,5,6,8,4,7]=>1000010=>6
[1,3,5,2,6,8,4,7]=>0010010=>3
[1,3,5,6,2,8,4,7]=>0001010=>2
[1,3,5,6,8,2,4,7]=>0000100=>3
[3,1,5,2,4,6,7,8]=>1010000=>7
[3,5,1,2,4,6,7,8]=>0100000=>6
[1,3,5,2,4,6,7,8]=>0010000=>5
[3,1,2,5,6,4,7,8]=>1000100=>6
[1,3,5,2,6,4,7,8]=>0010100=>3
[1,3,5,6,2,4,7,8]=>0001000=>4
[3,1,2,5,6,7,4,8]=>1000010=>6
[1,3,5,2,6,7,4,8]=>0010010=>3
[1,3,5,6,2,7,4,8]=>0001010=>2
[1,3,5,6,7,2,4,8]=>0000100=>3
[3,1,2,5,6,7,8,4]=>1000001=>6
[1,3,5,2,6,7,8,4]=>0010001=>2
[1,3,5,6,2,7,8,4]=>0001001=>1
[1,3,5,6,7,2,8,4]=>0000101=>1
[1,3,5,6,7,8,2,4]=>0000010=>2
[3,1,6,2,7,4,8,5]=>1010101=>4
[3,6,1,2,7,4,8,5]=>0100101=>2
[3,6,1,7,2,4,8,5]=>0101001=>3
[3,6,7,1,2,4,8,5]=>0010001=>2
[3,6,1,2,7,8,4,5]=>0100010=>4
[3,1,6,7,2,8,4,5]=>1001010=>5
[3,6,1,7,2,8,4,5]=>0101010=>4
[3,6,7,1,2,8,4,5]=>0010010=>3
[3,6,1,7,8,2,4,5]=>0100100=>5
[3,6,7,8,1,2,4,5]=>0001000=>4
[3,1,6,2,7,4,5,8]=>1010100=>7
[3,1,6,7,2,4,5,8]=>1001000=>7
[3,6,7,1,2,4,5,8]=>0010000=>5
[3,1,6,2,4,7,5,8]=>1010010=>6
[3,6,1,2,4,7,5,8]=>0100010=>4
[3,1,2,6,4,7,5,8]=>1001010=>5
[1,3,2,6,4,7,5,8]=>0101010=>4
[1,3,6,2,4,7,5,8]=>0010010=>3
[1,3,2,6,7,4,5,8]=>0100100=>5
[1,3,6,2,7,4,5,8]=>0010100=>3
[3,1,6,2,4,7,8,5]=>1010001=>6
[3,6,1,2,4,7,8,5]=>0100001=>4
[3,1,2,6,4,7,8,5]=>1001001=>5
[1,3,2,6,4,7,8,5]=>0101001=>3
[1,3,6,2,4,7,8,5]=>0010001=>2
[3,1,2,6,7,4,8,5]=>1000101=>5
[1,3,2,6,7,4,8,5]=>0100101=>2
[1,3,6,2,7,4,8,5]=>0010101=>1
[3,1,2,6,7,8,4,5]=>1000010=>6
[1,3,2,6,7,8,4,5]=>0100010=>4
[1,3,6,2,7,8,4,5]=>0010010=>3
[1,3,6,7,8,2,4,5]=>0000100=>3
[3,1,6,2,8,4,5,7]=>1010100=>7
[3,1,6,8,2,4,5,7]=>1001000=>7
[3,6,1,8,2,4,5,7]=>0101000=>5
[3,6,8,1,2,4,5,7]=>0010000=>5
[3,1,6,2,4,8,5,7]=>1010010=>6
[3,6,1,2,4,8,5,7]=>0100010=>4
[1,3,2,6,4,8,5,7]=>0101010=>4
[1,3,6,2,4,8,5,7]=>0010010=>3
[3,1,2,6,8,4,5,7]=>1000100=>6
[1,3,2,6,8,4,5,7]=>0100100=>5
[3,1,6,2,4,5,8,7]=>1010001=>6
[3,6,1,2,4,5,8,7]=>0100001=>4
[3,1,2,6,4,5,8,7]=>1001001=>5
[1,3,6,2,4,5,8,7]=>0010001=>2
[3,1,2,4,6,5,8,7]=>1000101=>5
[1,3,4,6,2,5,8,7]=>0001001=>1
[3,1,2,4,6,8,5,7]=>1000010=>6
[1,3,2,4,6,8,5,7]=>0100010=>4
[1,3,4,6,8,2,5,7]=>0000100=>3
[3,1,6,2,4,5,7,8]=>1010000=>7
[3,6,1,2,4,5,7,8]=>0100000=>6
[1,3,2,6,4,5,7,8]=>0101000=>5
[1,3,6,2,4,5,7,8]=>0010000=>5
[1,3,4,6,2,5,7,8]=>0001000=>4
[3,1,2,4,6,7,5,8]=>1000010=>6
[1,3,4,6,2,7,5,8]=>0001010=>2
[1,3,4,6,7,2,5,8]=>0000100=>3
[3,1,2,4,6,7,8,5]=>1000001=>6
[1,3,4,6,7,2,8,5]=>0000101=>1
[1,3,4,6,7,8,2,5]=>0000010=>2
[3,1,7,2,8,4,5,6]=>1010100=>7
[3,7,1,2,8,4,5,6]=>0100100=>5
[3,1,7,8,2,4,5,6]=>1001000=>7
[3,7,1,8,2,4,5,6]=>0101000=>5
[3,7,8,1,2,4,5,6]=>0010000=>5
[3,7,1,2,4,8,5,6]=>0100010=>4
[3,1,2,7,4,8,5,6]=>1001010=>5
[1,3,2,7,4,8,5,6]=>0101010=>4
[1,3,7,2,4,8,5,6]=>0010010=>3
[3,1,2,7,8,4,5,6]=>1000100=>6
[1,3,7,2,8,4,5,6]=>0010100=>3
[1,3,7,8,2,4,5,6]=>0001000=>4
[3,1,7,2,4,5,8,6]=>1010001=>6
[3,7,1,2,4,5,8,6]=>0100001=>4
[1,3,7,2,4,5,8,6]=>0010001=>2
[3,1,2,4,7,5,8,6]=>1000101=>5
[1,3,2,4,7,5,8,6]=>0100101=>2
[1,3,4,2,7,5,8,6]=>0010101=>1
[3,1,2,4,7,8,5,6]=>1000010=>6
[1,3,2,4,7,8,5,6]=>0100010=>4
[1,3,4,2,7,8,5,6]=>0010010=>3
[1,3,4,7,8,2,5,6]=>0000100=>3
[3,1,7,2,4,5,6,8]=>1010000=>7
[3,7,1,2,4,5,6,8]=>0100000=>6
[1,3,2,7,4,5,6,8]=>0101000=>5
[1,3,7,2,4,5,6,8]=>0010000=>5
[3,1,2,4,7,5,6,8]=>1000100=>6
[1,3,4,7,2,5,6,8]=>0001000=>4
[3,1,2,4,5,7,6,8]=>1000010=>6
[1,3,4,5,7,2,6,8]=>0000100=>3
[3,1,2,4,5,7,8,6]=>1000001=>6
[1,3,4,5,7,2,8,6]=>0000101=>1
[1,3,4,5,7,8,2,6]=>0000010=>2
[3,1,8,2,4,5,6,7]=>1010000=>7
[3,8,1,2,4,5,6,7]=>0100000=>6
[3,1,2,8,4,5,6,7]=>1001000=>7
[1,3,2,8,4,5,6,7]=>0101000=>5
[1,3,8,2,4,5,6,7]=>0010000=>5
[3,1,2,4,8,5,6,7]=>1000100=>6
[1,3,2,4,8,5,6,7]=>0100100=>5
[1,3,4,2,8,5,6,7]=>0010100=>3
[1,3,4,8,2,5,6,7]=>0001000=>4
[3,1,2,4,5,8,6,7]=>1000010=>6
[1,3,2,4,5,8,6,7]=>0100010=>4
[1,3,4,2,5,8,6,7]=>0010010=>3
[1,3,4,5,2,8,6,7]=>0001010=>2
[1,3,4,5,8,2,6,7]=>0000100=>3
[3,1,2,4,5,6,8,7]=>1000001=>6
[1,3,4,5,6,8,2,7]=>0000010=>2
[4,1,5,2,6,3,8,7]=>1010101=>4
[4,5,1,2,6,3,8,7]=>0100101=>2
[4,1,5,6,2,3,8,7]=>1001001=>5
[4,5,1,6,2,3,8,7]=>0101001=>3
[4,5,6,1,2,3,8,7]=>0010001=>2
[4,1,5,2,6,8,3,7]=>1010010=>6
[4,5,1,2,6,8,3,7]=>0100010=>4
[4,1,5,6,2,8,3,7]=>1001010=>5
[4,5,1,6,2,8,3,7]=>0101010=>4
[4,5,6,1,2,8,3,7]=>0010010=>3
[4,1,5,6,8,2,3,7]=>1000100=>6
[4,5,1,6,8,2,3,7]=>0100100=>5
[4,5,6,1,8,2,3,7]=>0010100=>3
[4,5,6,8,1,2,3,7]=>0001000=>4
[4,1,5,2,6,3,7,8]=>1010100=>7
[4,1,5,6,2,3,7,8]=>1001000=>7
[4,5,1,6,2,3,7,8]=>0101000=>5
[4,5,1,2,6,7,3,8]=>0100010=>4
[4,5,1,6,2,7,3,8]=>0101010=>4
[4,5,6,1,2,7,3,8]=>0010010=>3
[4,1,5,6,7,2,3,8]=>1000100=>6
[4,5,1,6,7,2,3,8]=>0100100=>5
[4,5,6,1,7,2,3,8]=>0010100=>3
[4,1,5,2,6,7,8,3]=>1010001=>6
[4,5,1,2,6,7,8,3]=>0100001=>4
[4,5,1,6,2,7,8,3]=>0101001=>3
[4,5,6,1,2,7,8,3]=>0010001=>2
[4,1,5,6,7,2,8,3]=>1000101=>5
[4,5,1,6,7,2,8,3]=>0100101=>2
[4,5,6,1,7,2,8,3]=>0010101=>1
[4,5,6,7,1,2,8,3]=>0001001=>1
[4,1,5,6,7,8,2,3]=>1000010=>6
[4,5,1,6,7,8,2,3]=>0100010=>4
[4,5,6,1,7,8,2,3]=>0010010=>3
[4,5,6,7,1,8,2,3]=>0001010=>2
[4,1,5,2,7,3,8,6]=>1010101=>4
[4,5,1,7,2,3,8,6]=>0101001=>3
[4,5,7,1,2,3,8,6]=>0010001=>2
[4,1,5,2,7,8,3,6]=>1010010=>6
[4,5,1,2,7,8,3,6]=>0100010=>4
[4,1,5,7,2,8,3,6]=>1001010=>5
[4,5,1,7,2,8,3,6]=>0101010=>4
[4,5,7,1,2,8,3,6]=>0010010=>3
[4,5,1,7,8,2,3,6]=>0100100=>5
[4,5,7,8,1,2,3,6]=>0001000=>4
[4,1,5,2,7,3,6,8]=>1010100=>7
[4,5,1,2,7,3,6,8]=>0100100=>5
[4,1,5,7,2,3,6,8]=>1001000=>7
[4,5,1,7,2,3,6,8]=>0101000=>5
[4,1,5,2,3,7,6,8]=>1010010=>6
[4,5,1,2,3,7,6,8]=>0100010=>4
[4,1,2,5,3,7,6,8]=>1001010=>5
[1,4,2,5,3,7,6,8]=>0101010=>4
[1,4,5,2,3,7,6,8]=>0010010=>3
[4,1,2,5,7,3,6,8]=>1000100=>6
[1,4,2,5,7,3,6,8]=>0100100=>5
[1,4,5,2,7,3,6,8]=>0010100=>3
[1,4,5,7,2,3,6,8]=>0001000=>4
[4,1,5,2,3,7,8,6]=>1010001=>6
[4,1,2,5,3,7,8,6]=>1001001=>5
[1,4,2,5,3,7,8,6]=>0101001=>3
[1,4,5,2,3,7,8,6]=>0010001=>2
[4,1,2,5,7,3,8,6]=>1000101=>5
[1,4,2,5,7,3,8,6]=>0100101=>2
[1,4,5,2,7,3,8,6]=>0010101=>1
[1,4,5,7,2,3,8,6]=>0001001=>1
[4,1,2,5,7,8,3,6]=>1000010=>6
[1,4,2,5,7,8,3,6]=>0100010=>4
[1,4,5,2,7,8,3,6]=>0010010=>3
[1,4,5,7,8,2,3,6]=>0000100=>3
[4,1,5,2,8,3,6,7]=>1010100=>7
[4,5,1,2,8,3,6,7]=>0100100=>5
[4,1,5,8,2,3,6,7]=>1001000=>7
[4,5,1,8,2,3,6,7]=>0101000=>5
[4,5,8,1,2,3,6,7]=>0010000=>5
[4,1,5,2,3,8,6,7]=>1010010=>6
[4,5,1,2,3,8,6,7]=>0100010=>4
[4,1,2,5,3,8,6,7]=>1001010=>5
[1,4,2,5,3,8,6,7]=>0101010=>4
[1,4,5,2,3,8,6,7]=>0010010=>3
[4,1,2,5,8,3,6,7]=>1000100=>6
[1,4,2,5,8,3,6,7]=>0100100=>5
[1,4,5,2,8,3,6,7]=>0010100=>3
[1,4,5,8,2,3,6,7]=>0001000=>4
[1,4,2,5,3,6,8,7]=>0101001=>3
[4,1,2,5,6,3,8,7]=>1000101=>5
[1,4,5,2,6,3,8,7]=>0010101=>1
[1,4,5,6,2,3,8,7]=>0001001=>1
[4,1,2,5,6,8,3,7]=>1000010=>6
[1,4,2,5,6,8,3,7]=>0100010=>4
[1,4,5,2,6,8,3,7]=>0010010=>3
[1,4,5,6,2,8,3,7]=>0001010=>2
[1,4,5,6,8,2,3,7]=>0000100=>3
[4,1,5,2,3,6,7,8]=>1010000=>7
[4,1,2,5,3,6,7,8]=>1001000=>7
[1,4,2,5,3,6,7,8]=>0101000=>5
[1,4,5,2,3,6,7,8]=>0010000=>5
[4,1,2,5,6,3,7,8]=>1000100=>6
[1,4,5,2,6,3,7,8]=>0010100=>3
[1,4,5,6,2,3,7,8]=>0001000=>4
[4,1,2,5,6,7,3,8]=>1000010=>6
[1,4,2,5,6,7,3,8]=>0100010=>4
[1,4,5,2,6,7,3,8]=>0010010=>3
[1,4,5,6,2,7,3,8]=>0001010=>2
[1,4,5,6,7,2,3,8]=>0000100=>3
[4,1,2,5,6,7,8,3]=>1000001=>6
[1,4,2,5,6,7,8,3]=>0100001=>4
[1,4,5,2,6,7,8,3]=>0010001=>2
[1,4,5,6,2,7,8,3]=>0001001=>1
[1,4,5,6,7,2,8,3]=>0000101=>1
[1,4,5,6,7,8,2,3]=>0000010=>2
[4,1,6,2,7,3,8,5]=>1010101=>4
[4,1,6,7,2,3,8,5]=>1001001=>5
[4,6,7,1,2,3,8,5]=>0010001=>2
[4,6,1,2,7,8,3,5]=>0100010=>4
[4,6,1,7,2,8,3,5]=>0101010=>4
[4,6,7,1,2,8,3,5]=>0010010=>3
[4,1,6,7,8,2,3,5]=>1000100=>6
[4,6,1,7,8,2,3,5]=>0100100=>5
[4,6,7,1,8,2,3,5]=>0010100=>3
[4,6,7,8,1,2,3,5]=>0001000=>4
[4,1,6,2,7,3,5,8]=>1010100=>7
[4,6,1,2,7,3,5,8]=>0100100=>5
[4,1,6,7,2,3,5,8]=>1001000=>7
[4,6,1,7,2,3,5,8]=>0101000=>5
[4,6,7,1,2,3,5,8]=>0010000=>5
[4,1,6,2,3,7,5,8]=>1010010=>6
[4,6,1,2,3,7,5,8]=>0100010=>4
[4,1,2,6,3,7,5,8]=>1001010=>5
[1,4,2,6,3,7,5,8]=>0101010=>4
[4,1,2,6,7,3,5,8]=>1000100=>6
[1,4,2,6,7,3,5,8]=>0100100=>5
[1,4,6,2,7,3,5,8]=>0010100=>3
[1,4,6,7,2,3,5,8]=>0001000=>4
[4,1,6,2,3,7,8,5]=>1010001=>6
[4,1,2,6,3,7,8,5]=>1001001=>5
[1,4,6,2,3,7,8,5]=>0010001=>2
[4,1,2,6,7,3,8,5]=>1000101=>5
[1,4,6,2,7,3,8,5]=>0010101=>1
[1,4,6,7,2,3,8,5]=>0001001=>1
[1,4,2,6,7,8,3,5]=>0100010=>4
[1,4,6,2,7,8,3,5]=>0010010=>3
[1,4,6,7,2,8,3,5]=>0001010=>2
[1,4,6,7,8,2,3,5]=>0000100=>3
[4,1,6,2,8,3,5,7]=>1010100=>7
[4,6,1,2,8,3,5,7]=>0100100=>5
[4,1,6,8,2,3,5,7]=>1001000=>7
[4,6,1,8,2,3,5,7]=>0101000=>5
[4,6,8,1,2,3,5,7]=>0010000=>5
[4,1,6,2,3,8,5,7]=>1010010=>6
[4,6,1,2,3,8,5,7]=>0100010=>4
[4,1,2,6,3,8,5,7]=>1001010=>5
[1,4,2,6,3,8,5,7]=>0101010=>4
[1,4,6,2,3,8,5,7]=>0010010=>3
[1,4,2,6,8,3,5,7]=>0100100=>5
[1,4,6,2,8,3,5,7]=>0010100=>3
[1,4,6,8,2,3,5,7]=>0001000=>4
[4,1,6,2,3,5,8,7]=>1010001=>6
[4,6,1,2,3,5,8,7]=>0100001=>4
[4,1,2,6,3,5,8,7]=>1001001=>5
[1,4,2,6,3,5,8,7]=>0101001=>3
[1,4,6,2,3,5,8,7]=>0010001=>2
[4,1,2,3,6,5,8,7]=>1000101=>5
[1,4,2,3,6,5,8,7]=>0100101=>2
[1,2,4,6,3,5,8,7]=>0001001=>1
[4,1,2,3,6,8,5,7]=>1000010=>6
[1,2,4,3,6,8,5,7]=>0010010=>3
[1,2,4,6,8,3,5,7]=>0000100=>3
[4,1,6,2,3,5,7,8]=>1010000=>7
[4,6,1,2,3,5,7,8]=>0100000=>6
[1,4,2,6,3,5,7,8]=>0101000=>5
[1,4,6,2,3,5,7,8]=>0010000=>5
[4,1,2,3,6,5,7,8]=>1000100=>6
[1,4,2,3,6,5,7,8]=>0100100=>5
[1,2,4,6,3,5,7,8]=>0001000=>4
[4,1,2,3,6,7,5,8]=>1000010=>6
[1,4,2,3,6,7,5,8]=>0100010=>4
[1,2,4,6,7,3,5,8]=>0000100=>3
[4,1,2,3,6,7,8,5]=>1000001=>6
[1,4,2,3,6,7,8,5]=>0100001=>4
[1,2,4,6,7,3,8,5]=>0000101=>1
[1,2,4,6,7,8,3,5]=>0000010=>2
[4,1,7,2,8,3,5,6]=>1010100=>7
[4,7,1,2,8,3,5,6]=>0100100=>5
[4,1,7,8,2,3,5,6]=>1001000=>7
[4,7,1,8,2,3,5,6]=>0101000=>5
[4,7,8,1,2,3,5,6]=>0010000=>5
[4,7,1,2,3,8,5,6]=>0100010=>4
[1,4,2,7,3,8,5,6]=>0101010=>4
[1,4,7,2,3,8,5,6]=>0010010=>3
[4,1,2,7,8,3,5,6]=>1000100=>6
[1,4,2,7,8,3,5,6]=>0100100=>5
[1,4,7,2,8,3,5,6]=>0010100=>3
[1,4,7,8,2,3,5,6]=>0001000=>4
[4,1,7,2,3,5,8,6]=>1010001=>6
[4,7,1,2,3,5,8,6]=>0100001=>4
[4,1,2,7,3,5,8,6]=>1001001=>5
[1,4,2,7,3,5,8,6]=>0101001=>3
[1,4,7,2,3,5,8,6]=>0010001=>2
[4,1,2,3,7,5,8,6]=>1000101=>5
[1,4,2,3,7,5,8,6]=>0100101=>2
[1,2,4,3,7,5,8,6]=>0010101=>1
[1,2,4,7,3,5,8,6]=>0001001=>1
[4,1,2,3,7,8,5,6]=>1000010=>6
[1,4,2,3,7,8,5,6]=>0100010=>4
[1,2,4,3,7,8,5,6]=>0010010=>3
[1,2,4,7,3,8,5,6]=>0001010=>2
[1,2,4,7,8,3,5,6]=>0000100=>3
[4,1,7,2,3,5,6,8]=>1010000=>7
[4,7,1,2,3,5,6,8]=>0100000=>6
[4,1,2,7,3,5,6,8]=>1001000=>7
[1,4,2,7,3,5,6,8]=>0101000=>5
[1,4,7,2,3,5,6,8]=>0010000=>5
[4,1,2,3,7,5,6,8]=>1000100=>6
[1,4,2,3,7,5,6,8]=>0100100=>5
[1,2,4,3,7,5,6,8]=>0010100=>3
[1,2,4,7,3,5,6,8]=>0001000=>4
[4,1,2,3,5,7,6,8]=>1000010=>6
[1,4,2,3,5,7,6,8]=>0100010=>4
[1,2,4,5,7,3,6,8]=>0000100=>3
[4,1,2,3,5,7,8,6]=>1000001=>6
[1,4,2,3,5,7,8,6]=>0100001=>4
[1,2,4,5,7,3,8,6]=>0000101=>1
[1,2,4,5,7,8,3,6]=>0000010=>2
[4,1,8,2,3,5,6,7]=>1010000=>7
[4,8,1,2,3,5,6,7]=>0100000=>6
[4,1,2,8,3,5,6,7]=>1001000=>7
[1,4,2,8,3,5,6,7]=>0101000=>5
[1,4,8,2,3,5,6,7]=>0010000=>5
[4,1,2,3,8,5,6,7]=>1000100=>6
[1,4,2,3,8,5,6,7]=>0100100=>5
[1,2,4,3,8,5,6,7]=>0010100=>3
[1,2,4,8,3,5,6,7]=>0001000=>4
[4,1,2,3,5,8,6,7]=>1000010=>6
[1,4,2,3,5,8,6,7]=>0100010=>4
[1,2,4,3,5,8,6,7]=>0010010=>3
[1,2,4,5,3,8,6,7]=>0001010=>2
[1,2,4,5,8,3,6,7]=>0000100=>3
[4,1,2,3,5,6,8,7]=>1000001=>6
[1,4,2,3,5,6,8,7]=>0100001=>4
[1,2,4,5,6,8,3,7]=>0000010=>2
[1,4,2,3,5,6,7,8]=>0100000=>6
[5,1,6,2,7,3,8,4]=>1010101=>4
[5,6,1,2,7,3,8,4]=>0100101=>2
[5,1,6,7,2,3,8,4]=>1001001=>5
[5,6,1,7,2,3,8,4]=>0101001=>3
[5,6,7,1,2,3,8,4]=>0010001=>2
[5,6,1,2,7,8,3,4]=>0100010=>4
[5,1,6,7,2,8,3,4]=>1001010=>5
[5,6,7,1,2,8,3,4]=>0010010=>3
[5,1,6,7,8,2,3,4]=>1000100=>6
[5,6,1,7,8,2,3,4]=>0100100=>5
[5,6,7,1,8,2,3,4]=>0010100=>3
[5,1,6,2,7,3,4,8]=>1010100=>7
[5,6,1,2,7,3,4,8]=>0100100=>5
[5,6,1,7,2,3,4,8]=>0101000=>5
[5,1,6,2,3,7,4,8]=>1010010=>6
[5,1,2,6,3,7,4,8]=>1001010=>5
[1,5,2,6,3,7,4,8]=>0101010=>4
[5,1,2,6,7,3,4,8]=>1000100=>6
[1,5,2,6,7,3,4,8]=>0100100=>5
[1,5,6,2,7,3,4,8]=>0010100=>3
[1,5,6,7,2,3,4,8]=>0001000=>4
[5,1,6,2,3,7,8,4]=>1010001=>6
[5,6,1,2,3,7,8,4]=>0100001=>4
[5,1,2,6,3,7,8,4]=>1001001=>5
[1,5,2,6,3,7,8,4]=>0101001=>3
[1,5,6,2,3,7,8,4]=>0010001=>2
[5,1,2,6,7,3,8,4]=>1000101=>5
[1,5,6,7,2,3,8,4]=>0001001=>1
[5,1,2,6,7,8,3,4]=>1000010=>6
[1,5,2,6,7,8,3,4]=>0100010=>4
[1,5,6,2,7,8,3,4]=>0010010=>3
[1,5,6,7,2,8,3,4]=>0001010=>2
[1,5,6,7,8,2,3,4]=>0000100=>3
[5,1,6,2,8,3,4,7]=>1010100=>7
[5,6,1,2,8,3,4,7]=>0100100=>5
[5,6,1,8,2,3,4,7]=>0101000=>5
[5,6,8,1,2,3,4,7]=>0010000=>5
[5,1,6,2,3,8,4,7]=>1010010=>6
[5,6,1,2,3,8,4,7]=>0100010=>4
[5,1,2,6,3,8,4,7]=>1001010=>5
[1,5,2,6,3,8,4,7]=>0101010=>4
[1,5,6,2,3,8,4,7]=>0010010=>3
[5,1,2,6,8,3,4,7]=>1000100=>6
[1,5,2,6,8,3,4,7]=>0100100=>5
[1,5,6,2,8,3,4,7]=>0010100=>3
[1,5,6,8,2,3,4,7]=>0001000=>4
[5,1,6,2,3,4,8,7]=>1010001=>6
[5,6,1,2,3,4,8,7]=>0100001=>4
[5,1,2,6,3,4,8,7]=>1001001=>5
[1,5,2,6,3,4,8,7]=>0101001=>3
[1,5,6,2,3,4,8,7]=>0010001=>2
[1,5,2,3,6,4,8,7]=>0100101=>2
[1,2,5,3,6,4,8,7]=>0010101=>1
[1,2,5,6,3,4,8,7]=>0001001=>1
[5,1,2,3,6,8,4,7]=>1000010=>6
[1,5,2,3,6,8,4,7]=>0100010=>4
[1,2,5,6,3,8,4,7]=>0001010=>2
[5,1,6,2,3,4,7,8]=>1010000=>7
[5,1,2,6,3,4,7,8]=>1001000=>7
[1,5,2,6,3,4,7,8]=>0101000=>5
[1,5,6,2,3,4,7,8]=>0010000=>5
[5,1,2,3,6,4,7,8]=>1000100=>6
[1,5,2,3,6,4,7,8]=>0100100=>5
[1,2,5,3,6,4,7,8]=>0010100=>3
[1,2,5,6,3,4,7,8]=>0001000=>4
[5,1,2,3,6,7,4,8]=>1000010=>6
[1,5,2,3,6,7,4,8]=>0100010=>4
[1,2,5,3,6,7,4,8]=>0010010=>3
[1,2,5,6,3,7,4,8]=>0001010=>2
[5,1,2,3,6,7,8,4]=>1000001=>6
[1,5,2,3,6,7,8,4]=>0100001=>4
[1,2,5,3,6,7,8,4]=>0010001=>2
[1,2,5,6,3,7,8,4]=>0001001=>1
[1,2,5,6,7,3,8,4]=>0000101=>1
[1,2,5,6,7,8,3,4]=>0000010=>2
[5,1,7,2,8,3,4,6]=>1010100=>7
[5,7,1,2,8,3,4,6]=>0100100=>5
[5,1,7,8,2,3,4,6]=>1001000=>7
[5,7,1,8,2,3,4,6]=>0101000=>5
[5,7,8,1,2,3,4,6]=>0010000=>5
[5,1,7,2,3,8,4,6]=>1010010=>6
[5,7,1,2,3,8,4,6]=>0100010=>4
[5,1,2,7,3,8,4,6]=>1001010=>5
[1,5,2,7,3,8,4,6]=>0101010=>4
[1,5,7,2,3,8,4,6]=>0010010=>3
[5,1,2,7,8,3,4,6]=>1000100=>6
[1,5,2,7,8,3,4,6]=>0100100=>5
[1,5,7,2,8,3,4,6]=>0010100=>3
[1,5,7,8,2,3,4,6]=>0001000=>4
[5,1,7,2,3,4,8,6]=>1010001=>6
[5,7,1,2,3,4,8,6]=>0100001=>4
[5,1,2,7,3,4,8,6]=>1001001=>5
[1,5,2,7,3,4,8,6]=>0101001=>3
[1,5,7,2,3,4,8,6]=>0010001=>2
[5,1,2,3,7,4,8,6]=>1000101=>5
[1,5,2,3,7,4,8,6]=>0100101=>2
[1,2,5,3,7,4,8,6]=>0010101=>1
[1,2,5,7,3,4,8,6]=>0001001=>1
[5,1,2,3,7,8,4,6]=>1000010=>6
[1,5,2,3,7,8,4,6]=>0100010=>4
[1,2,5,7,3,8,4,6]=>0001010=>2
[1,2,5,7,8,3,4,6]=>0000100=>3
[5,7,1,2,3,4,6,8]=>0100000=>6
[5,1,2,7,3,4,6,8]=>1001000=>7
[1,5,2,7,3,4,6,8]=>0101000=>5
[1,5,7,2,3,4,6,8]=>0010000=>5
[1,5,2,3,7,4,6,8]=>0100100=>5
[1,2,5,3,7,4,6,8]=>0010100=>3
[1,2,5,7,3,4,6,8]=>0001000=>4
[1,5,2,3,4,7,6,8]=>0100010=>4
[1,2,5,3,4,7,6,8]=>0010010=>3
[1,2,3,5,7,4,6,8]=>0000100=>3
[5,1,2,3,4,7,8,6]=>1000001=>6
[1,5,2,3,4,7,8,6]=>0100001=>4
[1,2,5,3,4,7,8,6]=>0010001=>2
[1,2,3,5,7,4,8,6]=>0000101=>1
[1,2,3,5,7,8,4,6]=>0000010=>2
[5,1,8,2,3,4,6,7]=>1010000=>7
[5,8,1,2,3,4,6,7]=>0100000=>6
[5,1,2,8,3,4,6,7]=>1001000=>7
[1,5,2,8,3,4,6,7]=>0101000=>5
[1,5,8,2,3,4,6,7]=>0010000=>5
[5,1,2,3,8,4,6,7]=>1000100=>6
[1,5,2,3,8,4,6,7]=>0100100=>5
[1,2,5,3,8,4,6,7]=>0010100=>3
[1,2,5,8,3,4,6,7]=>0001000=>4
[5,1,2,3,4,8,6,7]=>1000010=>6
[1,5,2,3,4,8,6,7]=>0100010=>4
[1,2,5,3,4,8,6,7]=>0010010=>3
[1,2,3,5,4,8,6,7]=>0001010=>2
[1,2,3,5,8,4,6,7]=>0000100=>3
[5,1,2,3,4,6,8,7]=>1000001=>6
[1,5,2,3,4,6,8,7]=>0100001=>4
[1,2,5,3,4,6,8,7]=>0010001=>2
[1,2,3,5,6,8,4,7]=>0000010=>2
[1,5,2,3,4,6,7,8]=>0100000=>6
[1,2,5,3,4,6,7,8]=>0010000=>5
[6,1,7,2,8,3,4,5]=>1010100=>7
[6,7,1,2,8,3,4,5]=>0100100=>5
[6,1,7,8,2,3,4,5]=>1001000=>7
[6,7,1,8,2,3,4,5]=>0101000=>5
[6,1,7,2,3,8,4,5]=>1010010=>6
[6,7,1,2,3,8,4,5]=>0100010=>4
[6,1,2,7,3,8,4,5]=>1001010=>5
[1,6,2,7,3,8,4,5]=>0101010=>4
[1,6,7,2,3,8,4,5]=>0010010=>3
[6,1,2,7,8,3,4,5]=>1000100=>6
[1,6,2,7,8,3,4,5]=>0100100=>5
[1,6,7,2,8,3,4,5]=>0010100=>3
[1,6,7,8,2,3,4,5]=>0001000=>4
[6,1,7,2,3,4,8,5]=>1010001=>6
[6,7,1,2,3,4,8,5]=>0100001=>4
[6,1,2,7,3,4,8,5]=>1001001=>5
[1,6,2,7,3,4,8,5]=>0101001=>3
[1,6,7,2,3,4,8,5]=>0010001=>2
[6,1,2,3,7,4,8,5]=>1000101=>5
[1,6,2,3,7,4,8,5]=>0100101=>2
[1,2,6,3,7,4,8,5]=>0010101=>1
[6,1,2,3,7,8,4,5]=>1000010=>6
[1,6,2,3,7,8,4,5]=>0100010=>4
[1,2,6,3,7,8,4,5]=>0010010=>3
[1,2,6,7,3,8,4,5]=>0001010=>2
[1,2,6,7,8,3,4,5]=>0000100=>3
[6,1,7,2,3,4,5,8]=>1010000=>7
[6,1,2,7,3,4,5,8]=>1001000=>7
[1,6,2,7,3,4,5,8]=>0101000=>5
[1,6,7,2,3,4,5,8]=>0010000=>5
[6,1,2,3,7,4,5,8]=>1000100=>6
[1,6,2,3,7,4,5,8]=>0100100=>5
[1,2,6,3,7,4,5,8]=>0010100=>3
[1,2,6,7,3,4,5,8]=>0001000=>4
[6,1,2,3,4,7,5,8]=>1000010=>6
[1,6,2,3,4,7,5,8]=>0100010=>4
[1,2,6,3,4,7,5,8]=>0010010=>3
[1,2,3,6,4,7,5,8]=>0001010=>2
[1,2,3,6,7,4,5,8]=>0000100=>3
[6,1,2,3,4,7,8,5]=>1000001=>6
[1,6,2,3,4,7,8,5]=>0100001=>4
[1,2,6,3,4,7,8,5]=>0010001=>2
[1,2,3,6,4,7,8,5]=>0001001=>1
[1,2,3,6,7,4,8,5]=>0000101=>1
[1,2,3,6,7,8,4,5]=>0000010=>2
[6,1,8,2,3,4,5,7]=>1010000=>7
[6,8,1,2,3,4,5,7]=>0100000=>6
[6,1,2,8,3,4,5,7]=>1001000=>7
[1,6,2,8,3,4,5,7]=>0101000=>5
[1,6,8,2,3,4,5,7]=>0010000=>5
[6,1,2,3,8,4,5,7]=>1000100=>6
[1,6,2,3,8,4,5,7]=>0100100=>5
[1,2,6,3,8,4,5,7]=>0010100=>3
[1,2,6,8,3,4,5,7]=>0001000=>4
[6,1,2,3,4,8,5,7]=>1000010=>6
[1,6,2,3,4,8,5,7]=>0100010=>4
[1,2,6,3,4,8,5,7]=>0010010=>3
[1,2,3,6,4,8,5,7]=>0001010=>2
[1,2,3,6,8,4,5,7]=>0000100=>3
[6,1,2,3,4,5,8,7]=>1000001=>6
[1,6,2,3,4,5,8,7]=>0100001=>4
[1,2,6,3,4,5,8,7]=>0010001=>2
[1,2,3,6,4,5,8,7]=>0001001=>1
[1,2,3,4,6,8,5,7]=>0000010=>2
[1,6,2,3,4,5,7,8]=>0100000=>6
[1,2,6,3,4,5,7,8]=>0010000=>5
[1,2,3,6,4,5,7,8]=>0001000=>4
[7,1,8,2,3,4,5,6]=>1010000=>7
[7,1,2,8,3,4,5,6]=>1001000=>7
[1,7,2,8,3,4,5,6]=>0101000=>5
[1,7,8,2,3,4,5,6]=>0010000=>5
[7,1,2,3,8,4,5,6]=>1000100=>6
[1,7,2,3,8,4,5,6]=>0100100=>5
[1,2,7,3,8,4,5,6]=>0010100=>3
[1,2,7,8,3,4,5,6]=>0001000=>4
[7,1,2,3,4,8,5,6]=>1000010=>6
[1,7,2,3,4,8,5,6]=>0100010=>4
[1,2,7,3,4,8,5,6]=>0010010=>3
[1,2,3,7,4,8,5,6]=>0001010=>2
[1,2,3,7,8,4,5,6]=>0000100=>3
[7,1,2,3,4,5,8,6]=>1000001=>6
[1,7,2,3,4,5,8,6]=>0100001=>4
[1,2,7,3,4,5,8,6]=>0010001=>2
[1,2,3,7,4,5,8,6]=>0001001=>1
[1,2,3,4,7,5,8,6]=>0000101=>1
[1,2,3,4,7,8,5,6]=>0000010=>2
[1,7,2,3,4,5,6,8]=>0100000=>6
[1,2,7,3,4,5,6,8]=>0010000=>5
[1,2,3,7,4,5,6,8]=>0001000=>4
[1,2,3,4,7,5,6,8]=>0000100=>3
[1,8,2,3,4,5,6,7]=>0100000=>6
[1,2,8,3,4,5,6,7]=>0010000=>5
[1,2,3,8,4,5,6,7]=>0001000=>4
[1,2,3,4,8,5,6,7]=>0000100=>3
[1,2,3,4,5,8,6,7]=>0000010=>2
[5,3,2,6,1,4,8,7]=>1101001=>6
[7,3,2,5,4,8,1,6]=>1101010=>7
[8,4,5,2,3,7,6,1]=>1010011=>5
[7,4,5,2,3,8,1,6]=>1010010=>6
[6,4,5,2,3,1,8,7]=>1010101=>4
[5,4,6,2,1,3,8,7]=>1011001=>5
[3,6,1,5,4,2,8,7]=>0101101=>2
[4,6,5,1,3,2,8,7]=>0110101=>3
[5,6,4,3,1,2,8,7]=>0111001=>3
[7,5,4,3,2,8,1,6]=>1111010=>7
[8,6,4,3,7,2,5,1]=>1110101=>6
[7,6,4,3,8,2,1,5]=>1110110=>7
[6,7,4,3,8,1,2,5]=>0110100=>4
[5,7,4,3,1,8,2,6]=>0111010=>3
[4,7,5,1,3,8,2,6]=>0110010=>4
[3,7,1,5,4,8,2,6]=>0101010=>4
[2,1,7,5,4,8,3,6]=>1011010=>6
[3,8,1,5,4,7,6,2]=>0101011=>1
[4,8,5,1,3,7,6,2]=>0110011=>2
[5,8,4,3,1,7,6,2]=>0111011=>2
[6,8,4,3,7,1,5,2]=>0110101=>3
[7,8,4,3,6,5,1,2]=>0110110=>3
[6,8,5,7,3,1,4,2]=>0101101=>2
[5,8,6,7,1,3,4,2]=>0101001=>3
[4,8,6,1,7,3,5,2]=>0110101=>3
[3,8,1,6,7,4,5,2]=>0100101=>2
[2,1,8,6,7,4,5,3]=>1010101=>4
[2,1,7,6,8,4,3,5]=>1010110=>5
[3,7,1,6,8,4,2,5]=>0100110=>3
[4,7,6,1,8,3,2,5]=>0110110=>3
[5,7,6,8,1,3,2,4]=>0101010=>4
[5,4,7,2,1,8,3,6]=>1011010=>6
[6,4,7,2,8,1,3,5]=>1010100=>7
[7,4,6,2,8,3,1,5]=>1010110=>5
[8,4,6,2,7,3,5,1]=>1010101=>4
[8,3,2,6,7,4,5,1]=>1100101=>6
[7,3,2,6,8,4,1,5]=>1100110=>6
[6,3,2,7,8,1,4,5]=>1100100=>7
[5,3,2,7,1,8,4,6]=>1101010=>7
[4,3,2,1,7,8,5,6]=>1110010=>7
[3,4,1,2,8,7,6,5]=>0100111=>2
[5,3,2,8,1,7,6,4]=>1101011=>5
[6,3,2,8,7,1,5,4]=>1101101=>5
[7,3,2,8,6,5,1,4]=>1101110=>6
[8,4,7,2,6,5,3,1]=>1010111=>3
[7,4,8,2,6,5,1,3]=>1010110=>5
[6,4,8,2,7,1,5,3]=>1010101=>4
[5,4,8,2,1,7,6,3]=>1011011=>3
[4,5,8,1,2,7,6,3]=>0010011=>1
[3,5,1,8,2,7,6,4]=>0101011=>1
[2,1,5,8,3,7,6,4]=>1001011=>4
[2,1,6,8,7,3,5,4]=>1001101=>4
[3,6,1,8,7,2,5,4]=>0101101=>2
[4,6,8,1,7,2,5,3]=>0010101=>1
[5,6,8,7,1,2,4,3]=>0011001=>2
[6,5,8,7,2,1,4,3]=>1011101=>4
[7,5,8,6,2,4,1,3]=>1011010=>6
[8,5,7,6,2,4,3,1]=>1011011=>3
[5,7,8,6,1,4,2,3]=>0011010=>2
[4,7,8,1,6,5,2,3]=>0010110=>2
[3,7,1,8,6,5,2,4]=>0101110=>2
[2,1,7,8,6,5,3,4]=>1001110=>4
[3,8,1,7,6,5,4,2]=>0101111=>1
[4,8,7,1,6,5,3,2]=>0110111=>1
[5,8,7,6,1,4,3,2]=>0111011=>2
[6,8,7,5,4,1,3,2]=>0111101=>2
[2,1,4,3,6,5,8,7,10,9]=>101010101=>5
[3,4,1,2,6,5,8,7,10,9]=>010010101=>2
[4,3,2,1,6,5,8,7,10,9]=>111010101=>8
[6,3,2,5,4,1,8,7,10,9]=>110110101=>8
[8,3,2,5,4,7,6,1,10,9]=>110101101=>7
[10,3,2,5,4,7,6,9,8,1]=>110101011=>7
[4,5,6,1,2,3,8,7,10,9]=>001000101=>2
[3,5,1,6,2,4,8,7,10,9]=>010100101=>3
[2,1,5,6,3,4,8,7,10,9]=>100100101=>6
[2,1,6,5,4,3,8,7,10,9]=>101110101=>6
[6,5,4,3,2,1,8,7,10,9]=>111110101=>8
[8,5,4,3,2,7,6,1,10,9]=>111101101=>8
[10,5,4,3,2,7,6,9,8,1]=>111101011=>7
[2,1,8,5,4,7,6,3,10,9]=>101101101=>6
[8,7,4,3,6,5,2,1,10,9]=>111011101=>7
[10,7,4,3,6,5,2,9,8,1]=>111011011=>7
[2,1,10,5,4,7,6,9,8,3]=>101101011=>5
[10,9,4,3,6,5,8,7,2,1]=>111010111=>6
[8,9,5,6,3,4,10,1,2,7]=>010100100=>6
[5,6,7,8,1,2,3,4,10,9]=>000100001=>2
[4,6,7,1,8,2,3,5,10,9]=>001010001=>3
[3,6,1,7,8,2,4,5,10,9]=>010010001=>5
[2,1,6,7,8,3,4,5,10,9]=>100010001=>7
[2,1,5,7,3,8,4,6,10,9]=>100101001=>6
[3,5,1,7,2,8,4,6,10,9]=>010101001=>4
[4,5,7,1,2,8,3,6,10,9]=>001001001=>3
[3,4,1,2,7,8,5,6,10,9]=>010001001=>4
[2,1,4,3,7,8,5,6,10,9]=>101001001=>8
[2,1,4,3,8,7,6,5,10,9]=>101011101=>4
[4,3,2,1,8,7,6,5,10,9]=>111011101=>7
[8,3,2,7,6,5,4,1,10,9]=>110111101=>6
[10,3,2,7,6,5,4,9,8,1]=>110111011=>5
[2,1,8,7,6,5,4,3,10,9]=>101111101=>4
[8,7,6,5,4,3,2,1,10,9]=>111111101=>8
[9,7,6,5,4,3,2,10,1,8]=>111111010=>9
[10,7,6,5,4,3,2,9,8,1]=>111111011=>7
[2,1,10,7,6,5,4,9,8,3]=>101111011=>4
[10,9,6,5,4,3,8,7,2,1]=>111110111=>6
[2,1,4,3,10,7,6,9,8,5]=>101011011=>4
[4,3,2,1,10,7,6,9,8,5]=>111011011=>7
[10,3,2,9,6,5,8,7,4,1]=>110110111=>5
[2,1,10,9,6,5,8,7,4,3]=>101110111=>3
[10,9,8,5,4,7,6,3,2,1]=>111101111=>5
[10,8,9,6,7,4,5,2,3,1]=>101010101=>5
[2,1,7,8,9,10,3,4,5,6]=>100001000=>8
[3,7,1,8,9,10,2,4,5,6]=>010001000=>7
[4,7,8,1,9,10,2,3,5,6]=>001001000=>5
[5,7,8,9,1,10,2,3,4,6]=>000101000=>4
[6,7,8,9,10,1,2,3,4,5]=>000010000=>5
[5,6,8,9,1,2,10,3,4,7]=>000100100=>3
[4,6,8,1,9,2,10,3,5,7]=>001010100=>3
[3,6,1,8,9,2,10,4,5,7]=>010010100=>5
[2,1,6,8,9,3,10,4,5,7]=>100010100=>7
[2,1,5,8,3,9,10,4,6,7]=>100100100=>9
[3,5,1,8,2,9,10,4,6,7]=>010100100=>6
[4,5,8,1,2,9,10,3,6,7]=>001000100=>5
[7,3,2,8,9,10,1,4,5,6]=>110001000=>9
[3,4,1,2,8,9,10,5,6,7]=>010000100=>6
[2,1,4,3,8,9,10,5,6,7]=>101000100=>9
[2,1,4,3,7,9,5,10,6,8]=>101001010=>7
[3,4,1,2,7,9,5,10,6,8]=>010001010=>4
[4,5,7,1,2,9,3,10,6,8]=>001001010=>2
[3,5,1,7,2,9,4,10,6,8]=>010101010=>5
[2,1,5,7,3,9,4,10,6,8]=>100101010=>6
[2,1,6,7,9,3,4,10,5,8]=>100010010=>7
[3,6,1,7,9,2,4,10,5,8]=>010010010=>6
[4,6,7,1,9,2,3,10,5,8]=>001010010=>3
[5,6,7,9,1,2,3,10,4,8]=>000100010=>3
[8,5,4,3,2,9,10,1,6,7]=>111100100=>9
[2,1,5,6,3,4,9,10,7,8]=>100100010=>8
[3,5,1,6,2,4,9,10,7,8]=>010100010=>6
[4,5,6,1,2,3,9,10,7,8]=>001000010=>4
[3,4,1,2,6,5,9,10,7,8]=>010010010=>6
[2,1,4,3,6,5,9,10,7,8]=>101010010=>8
[2,1,4,3,6,5,10,9,8,7]=>101010111=>4
[4,3,2,1,6,5,10,9,8,7]=>111010111=>6
[6,3,2,5,4,1,10,9,8,7]=>110110111=>5
[10,3,2,5,4,9,8,7,6,1]=>110101111=>5
[2,1,6,5,4,3,10,9,8,7]=>101110111=>3
[6,5,4,3,2,1,10,9,8,7]=>111110111=>6
[10,5,4,3,2,9,8,7,6,1]=>111101111=>5
[2,1,10,5,4,9,8,7,6,3]=>101101111=>3
[10,9,4,3,8,7,6,5,2,1]=>111011111=>4
[9,7,5,10,3,8,2,6,1,4]=>110101010=>9
[2,1,4,3,10,9,8,7,6,5]=>101011111=>3
[4,3,2,1,10,9,8,7,6,5]=>111011111=>4
[10,3,2,9,8,7,6,5,4,1]=>110111111=>3
[2,1,10,9,8,7,6,5,4,3]=>101111111=>2
[9,10,8,7,6,5,4,3,1,2]=>011111110=>2
[10,9,8,7,6,5,4,3,2,1]=>111111111=>9
[3,2,5,1,4,6,7,8]=>1010000=>7
[4,2,5,1,3,6,7,8]=>1010000=>7
[5,2,4,1,3,6,7,8]=>1010000=>7
[3,2,6,1,4,5,7,8]=>1010000=>7
[4,2,6,1,3,5,7,8]=>1010000=>7
[5,3,6,1,2,4,7,8]=>1010000=>7
[6,2,4,1,3,5,7,8]=>1010000=>7
[6,3,5,1,2,4,7,8]=>1010000=>7
[5,2,7,1,3,4,6,8]=>1010000=>7
[5,3,7,1,2,4,6,8]=>1010000=>7
[5,4,7,1,2,3,6,8]=>1010000=>7
[6,2,7,1,3,4,5,8]=>1010000=>7
[6,3,7,1,2,4,5,8]=>1010000=>7
[6,4,7,1,2,3,5,8]=>1010000=>7
[7,3,5,1,2,4,6,8]=>1010000=>7
[7,3,6,1,2,4,5,8]=>1010000=>7
[7,4,6,1,2,3,5,8]=>1010000=>7
[3,2,8,1,4,5,6,7]=>1010000=>7
[4,2,8,1,3,5,6,7]=>1010000=>7
[5,2,8,1,3,4,6,7]=>1010000=>7
[5,4,8,1,2,3,6,7]=>1010000=>7
[6,2,8,1,3,4,5,7]=>1010000=>7
[6,3,8,1,2,4,5,7]=>1010000=>7
[6,4,8,1,2,3,5,7]=>1010000=>7
[6,5,8,1,2,3,4,7]=>1010000=>7
[7,2,8,1,3,4,5,6]=>1010000=>7
[7,3,8,1,2,4,5,6]=>1010000=>7
[7,4,8,1,2,3,5,6]=>1010000=>7
[7,5,8,1,2,3,4,6]=>1010000=>7
[8,2,4,1,3,5,6,7]=>1010000=>7
[8,3,5,1,2,4,6,7]=>1010000=>7
[8,3,6,1,2,4,5,7]=>1010000=>7
[8,3,7,1,2,4,5,6]=>1010000=>7
[8,4,7,1,2,3,5,6]=>1010000=>7
[8,5,7,1,2,3,4,6]=>1010000=>7
[3,2,5,7,1,4,6,8]=>1001000=>7
[4,2,5,7,1,3,6,8]=>1001000=>7
[4,3,5,7,1,2,6,8]=>1001000=>7
[5,2,4,7,1,3,6,8]=>1001000=>7
[5,3,4,7,1,2,6,8]=>1001000=>7
[4,2,6,7,1,3,5,8]=>1001000=>7
[5,2,6,7,1,3,4,8]=>1001000=>7
[5,3,6,7,1,2,4,8]=>1001000=>7
[6,2,5,7,1,3,4,8]=>1001000=>7
[6,3,5,7,1,2,4,8]=>1001000=>7
[7,2,4,6,1,3,5,8]=>1001000=>7
[7,3,4,6,1,2,5,8]=>1001000=>7
[7,3,5,6,1,2,4,8]=>1001000=>7
[3,2,5,8,1,4,6,7]=>1001000=>7
[4,2,5,8,1,3,6,7]=>1001000=>7
[4,3,5,8,1,2,6,7]=>1001000=>7
[5,2,4,8,1,3,6,7]=>1001000=>7
[3,2,6,8,1,4,5,7]=>1001000=>7
[4,2,6,8,1,3,5,7]=>1001000=>7
[4,3,6,8,1,2,5,7]=>1001000=>7
[5,2,6,8,1,3,4,7]=>1001000=>7
[6,2,4,8,1,3,5,7]=>1001000=>7
[6,3,4,8,1,2,5,7]=>1001000=>7
[6,2,5,8,1,3,4,7]=>1001000=>7
[6,3,5,8,1,2,4,7]=>1001000=>7
[6,4,5,8,1,2,3,7]=>1001000=>7
[3,2,7,8,1,4,5,6]=>1001000=>7
[4,3,7,8,1,2,5,6]=>1001000=>7
[5,3,7,8,1,2,4,6]=>1001000=>7
[6,2,7,8,1,3,4,5]=>1001000=>7
[6,3,7,8,1,2,4,5]=>1001000=>7
[6,4,7,8,1,2,3,5]=>1001000=>7
[7,2,4,8,1,3,5,6]=>1001000=>7
[7,3,4,8,1,2,5,6]=>1001000=>7
[7,3,5,8,1,2,4,6]=>1001000=>7
[7,4,5,8,1,2,3,6]=>1001000=>7
[7,4,6,8,1,2,3,5]=>1001000=>7
[8,2,4,6,1,3,5,7]=>1001000=>7
[8,3,4,6,1,2,5,7]=>1001000=>7
[8,2,5,6,1,3,4,7]=>1001000=>7
[8,3,5,6,1,2,4,7]=>1001000=>7
[8,2,4,7,1,3,5,6]=>1001000=>7
[8,2,5,7,1,3,4,6]=>1001000=>7
[8,3,5,7,1,2,4,6]=>1001000=>7
[8,2,6,7,1,3,4,5]=>1001000=>7
[8,4,6,7,1,2,3,5]=>1001000=>7
[3,6,2,5,1,4,7,8]=>0101000=>5
[4,6,2,5,1,3,7,8]=>0101000=>5
[4,6,3,5,1,2,7,8]=>0101000=>5
[3,7,2,5,1,4,6,8]=>0101000=>5
[4,7,3,5,1,2,6,8]=>0101000=>5
[5,7,2,4,1,3,6,8]=>0101000=>5
[5,7,3,4,1,2,6,8]=>0101000=>5
[3,7,2,6,1,4,5,8]=>0101000=>5
[4,7,3,6,1,2,5,8]=>0101000=>5
[5,7,2,6,1,3,4,8]=>0101000=>5
[5,7,3,6,1,2,4,8]=>0101000=>5
[6,7,2,5,1,3,4,8]=>0101000=>5
[4,8,2,5,1,3,6,7]=>0101000=>5
[5,8,2,4,1,3,6,7]=>0101000=>5
[5,8,3,4,1,2,6,7]=>0101000=>5
[3,8,2,6,1,4,5,7]=>0101000=>5
[4,8,2,6,1,3,5,7]=>0101000=>5
[5,8,3,6,1,2,4,7]=>0101000=>5
[5,8,4,6,1,2,3,7]=>0101000=>5
[6,8,2,4,1,3,5,7]=>0101000=>5
[6,8,3,4,1,2,5,7]=>0101000=>5
[6,8,3,5,1,2,4,7]=>0101000=>5
[6,8,4,5,1,2,3,7]=>0101000=>5
[3,8,2,7,1,4,5,6]=>0101000=>5
[4,8,2,7,1,3,5,6]=>0101000=>5
[4,8,3,7,1,2,5,6]=>0101000=>5
[5,8,2,7,1,3,4,6]=>0101000=>5
[5,8,3,7,1,2,4,6]=>0101000=>5
[5,8,4,7,1,2,3,6]=>0101000=>5
[6,8,2,7,1,3,4,5]=>0101000=>5
[6,8,3,7,1,2,4,5]=>0101000=>5
[6,8,5,7,1,2,3,4]=>0101000=>5
[7,8,2,4,1,3,5,6]=>0101000=>5
[7,8,2,5,1,3,4,6]=>0101000=>5
[7,8,3,5,1,2,4,6]=>0101000=>5
[7,8,4,6,1,2,3,5]=>0101000=>5
[4,3,2,6,1,5,7,8]=>1101000=>7
[5,3,2,6,1,4,7,8]=>1101000=>7
[6,3,2,5,1,4,7,8]=>1101000=>7
[6,4,2,5,1,3,7,8]=>1101000=>7
[6,5,2,4,1,3,7,8]=>1101000=>7
[4,3,2,7,1,5,6,8]=>1101000=>7
[5,3,2,7,1,4,6,8]=>1101000=>7
[5,4,3,7,1,2,6,8]=>1101000=>7
[6,3,2,7,1,4,5,8]=>1101000=>7
[6,4,2,7,1,3,5,8]=>1101000=>7
[6,4,3,7,1,2,5,8]=>1101000=>7
[6,5,3,7,1,2,4,8]=>1101000=>7
[7,3,2,5,1,4,6,8]=>1101000=>7
[7,4,2,5,1,3,6,8]=>1101000=>7
[7,3,2,6,1,4,5,8]=>1101000=>7
[7,4,2,6,1,3,5,8]=>1101000=>7
[7,4,3,6,1,2,5,8]=>1101000=>7
[7,5,2,6,1,3,4,8]=>1101000=>7
[7,5,3,6,1,2,4,8]=>1101000=>7
[7,6,3,5,1,2,4,8]=>1101000=>7
[4,3,2,8,1,5,6,7]=>1101000=>7
[5,3,2,8,1,4,6,7]=>1101000=>7
[5,4,3,8,1,2,6,7]=>1101000=>7
[6,3,2,8,1,4,5,7]=>1101000=>7
[6,4,2,8,1,3,5,7]=>1101000=>7
[6,4,3,8,1,2,5,7]=>1101000=>7
[6,5,2,8,1,3,4,7]=>1101000=>7
[6,5,3,8,1,2,4,7]=>1101000=>7
[6,5,4,8,1,2,3,7]=>1101000=>7
[7,3,2,8,1,4,5,6]=>1101000=>7
[7,4,2,8,1,3,5,6]=>1101000=>7
[7,4,3,8,1,2,5,6]=>1101000=>7
[7,5,3,8,1,2,4,6]=>1101000=>7
[7,5,4,8,1,2,3,6]=>1101000=>7
[7,6,2,8,1,3,4,5]=>1101000=>7
[8,3,2,5,1,4,6,7]=>1101000=>7
[8,4,2,5,1,3,6,7]=>1101000=>7
[8,3,2,6,1,4,5,7]=>1101000=>7
[8,4,2,6,1,3,5,7]=>1101000=>7
[8,5,3,6,1,2,4,7]=>1101000=>7
[8,6,2,4,1,3,5,7]=>1101000=>7
[8,6,2,5,1,3,4,7]=>1101000=>7
[8,3,2,7,1,4,5,6]=>1101000=>7
[8,4,2,7,1,3,5,6]=>1101000=>7
[8,4,3,7,1,2,5,6]=>1101000=>7
[8,5,2,7,1,3,4,6]=>1101000=>7
[8,5,3,7,1,2,4,6]=>1101000=>7
[8,5,4,7,1,2,3,6]=>1101000=>7
[8,6,3,7,1,2,4,5]=>1101000=>7
[8,7,2,4,1,3,5,6]=>1101000=>7
[8,7,2,5,1,3,4,6]=>1101000=>7
[8,7,3,5,1,2,4,6]=>1101000=>7
[8,7,2,6,1,3,4,5]=>1101000=>7
[8,7,3,6,1,2,4,5]=>1101000=>7
[8,7,4,6,1,2,3,5]=>1101000=>7
[3,6,2,5,8,1,4,7]=>0100100=>5
[4,6,3,5,8,1,2,7]=>0100100=>5
[5,6,2,4,8,1,3,7]=>0100100=>5
[4,7,2,5,8,1,3,6]=>0100100=>5
[4,7,3,5,8,1,2,6]=>0100100=>5
[5,7,2,4,8,1,3,6]=>0100100=>5
[5,7,3,4,8,1,2,6]=>0100100=>5
[3,7,2,6,8,1,4,5]=>0100100=>5
[4,7,3,6,8,1,2,5]=>0100100=>5
[5,7,2,6,8,1,3,4]=>0100100=>5
[5,7,4,6,8,1,2,3]=>0100100=>5
[6,7,3,4,8,1,2,5]=>0100100=>5
[6,7,3,5,8,1,2,4]=>0100100=>5
[3,8,2,5,7,1,4,6]=>0100100=>5
[4,8,2,5,7,1,3,6]=>0100100=>5
[4,8,3,5,7,1,2,6]=>0100100=>5
[5,8,2,4,7,1,3,6]=>0100100=>5
[3,8,2,6,7,1,4,5]=>0100100=>5
[4,8,3,6,7,1,2,5]=>0100100=>5
[5,8,2,6,7,1,3,4]=>0100100=>5
[5,8,3,6,7,1,2,4]=>0100100=>5
[6,8,2,5,7,1,3,4]=>0100100=>5
[6,8,3,5,7,1,2,4]=>0100100=>5
[6,8,4,5,7,1,2,3]=>0100100=>5
[7,8,2,4,6,1,3,5]=>0100100=>5
[7,8,2,5,6,1,3,4]=>0100100=>5
[7,8,3,5,6,1,2,4]=>0100100=>5
[4,3,2,6,8,1,5,7]=>1100100=>7
[5,3,2,6,8,1,4,7]=>1100100=>7
[5,4,2,6,8,1,3,7]=>1100100=>7
[5,4,3,6,8,1,2,7]=>1100100=>7
[6,3,2,5,8,1,4,7]=>1100100=>7
[6,4,3,5,8,1,2,7]=>1100100=>7
[6,5,2,4,8,1,3,7]=>1100100=>7
[4,3,2,7,8,1,5,6]=>1100100=>7
[5,3,2,7,8,1,4,6]=>1100100=>7
[5,4,2,7,8,1,3,6]=>1100100=>7
[5,4,3,7,8,1,2,6]=>1100100=>7
[6,4,2,7,8,1,3,5]=>1100100=>7
[6,4,3,7,8,1,2,5]=>1100100=>7
[6,5,2,7,8,1,3,4]=>1100100=>7
[7,4,2,5,8,1,3,6]=>1100100=>7
[7,4,3,5,8,1,2,6]=>1100100=>7
[7,5,3,4,8,1,2,6]=>1100100=>7
[7,3,2,6,8,1,4,5]=>1100100=>7
[7,5,2,6,8,1,3,4]=>1100100=>7
[7,5,3,6,8,1,2,4]=>1100100=>7
[7,6,2,4,8,1,3,5]=>1100100=>7
[7,6,3,5,8,1,2,4]=>1100100=>7
[8,3,2,5,7,1,4,6]=>1100100=>7
[8,4,2,5,7,1,3,6]=>1100100=>7
[8,5,2,4,7,1,3,6]=>1100100=>7
[8,3,2,6,7,1,4,5]=>1100100=>7
[8,4,2,6,7,1,3,5]=>1100100=>7
[8,5,2,6,7,1,3,4]=>1100100=>7
[8,5,3,6,7,1,2,4]=>1100100=>7
[8,6,2,4,7,1,3,5]=>1100100=>7
[8,6,3,5,7,1,2,4]=>1100100=>7
[8,7,2,4,6,1,3,5]=>1100100=>7
[8,7,3,4,6,1,2,5]=>1100100=>7
[8,7,2,5,6,1,3,4]=>1100100=>7
[8,7,3,5,6,1,2,4]=>1100100=>7
[4,3,7,2,6,1,5,8]=>1010100=>7
[5,3,7,2,6,1,4,8]=>1010100=>7
[5,4,7,2,6,1,3,8]=>1010100=>7
[6,3,7,2,5,1,4,8]=>1010100=>7
[6,4,7,2,5,1,3,8]=>1010100=>7
[6,4,7,3,5,1,2,8]=>1010100=>7
[7,3,6,2,5,1,4,8]=>1010100=>7
[4,3,8,2,6,1,5,7]=>1010100=>7
[5,3,8,2,6,1,4,7]=>1010100=>7
[5,4,8,2,6,1,3,7]=>1010100=>7
[5,4,8,3,6,1,2,7]=>1010100=>7
[6,4,8,2,5,1,3,7]=>1010100=>7
[6,4,8,3,5,1,2,7]=>1010100=>7
[6,5,8,2,4,1,3,7]=>1010100=>7
[6,5,8,3,4,1,2,7]=>1010100=>7
[4,3,8,2,7,1,5,6]=>1010100=>7
[5,3,8,2,7,1,4,6]=>1010100=>7
[5,4,8,2,7,1,3,6]=>1010100=>7
[5,4,8,3,7,1,2,6]=>1010100=>7
[6,3,8,2,7,1,4,5]=>1010100=>7
[6,4,8,2,7,1,3,5]=>1010100=>7
[6,4,8,3,7,1,2,5]=>1010100=>7
[7,3,8,2,5,1,4,6]=>1010100=>7
[7,4,8,3,5,1,2,6]=>1010100=>7
[7,5,8,2,4,1,3,6]=>1010100=>7
[7,5,8,3,4,1,2,6]=>1010100=>7
[7,3,8,2,6,1,4,5]=>1010100=>7
[7,4,8,2,6,1,3,5]=>1010100=>7
[7,5,8,2,6,1,3,4]=>1010100=>7
[7,5,8,3,6,1,2,4]=>1010100=>7
[7,5,8,4,6,1,2,3]=>1010100=>7
[7,6,8,2,5,1,3,4]=>1010100=>7
[7,6,8,3,5,1,2,4]=>1010100=>7
[8,3,6,2,5,1,4,7]=>1010100=>7
[8,5,6,2,4,1,3,7]=>1010100=>7
[8,3,7,2,5,1,4,6]=>1010100=>7
[8,5,7,2,4,1,3,6]=>1010100=>7
[8,3,7,2,6,1,4,5]=>1010100=>7
[8,4,7,2,6,1,3,5]=>1010100=>7
[8,4,7,3,6,1,2,5]=>1010100=>7
[8,5,7,2,6,1,3,4]=>1010100=>7
[8,6,7,2,4,1,3,5]=>1010100=>7
[8,6,7,2,5,1,3,4]=>1010100=>7
[8,6,7,3,5,1,2,4]=>1010100=>7
[5,4,3,2,7,1,6,8]=>1110100=>7
[6,4,3,2,7,1,5,8]=>1110100=>7
[6,5,3,2,7,1,4,8]=>1110100=>7
[6,5,4,2,7,1,3,8]=>1110100=>7
[7,5,3,2,6,1,4,8]=>1110100=>7
[7,5,4,2,6,1,3,8]=>1110100=>7
[7,6,3,2,5,1,4,8]=>1110100=>7
[5,4,3,2,8,1,6,7]=>1110100=>7
[6,5,3,2,8,1,4,7]=>1110100=>7
[6,5,4,2,8,1,3,7]=>1110100=>7
[6,5,4,3,8,1,2,7]=>1110100=>7
[7,5,3,2,8,1,4,6]=>1110100=>7
[7,5,4,2,8,1,3,6]=>1110100=>7
[7,6,3,2,8,1,4,5]=>1110100=>7
[7,6,4,3,8,1,2,5]=>1110100=>7
[7,6,5,2,8,1,3,4]=>1110100=>7
[8,5,3,2,6,1,4,7]=>1110100=>7
[8,5,4,2,6,1,3,7]=>1110100=>7
[8,6,4,2,5,1,3,7]=>1110100=>7
[8,6,5,2,4,1,3,7]=>1110100=>7
[8,5,3,2,7,1,4,6]=>1110100=>7
[8,6,3,2,7,1,4,5]=>1110100=>7
[8,6,4,2,7,1,3,5]=>1110100=>7
[8,6,4,3,7,1,2,5]=>1110100=>7
[8,7,3,2,6,1,4,5]=>1110100=>7
[8,7,4,2,6,1,3,5]=>1110100=>7
[8,7,4,3,6,1,2,5]=>1110100=>7
[8,7,5,2,6,1,3,4]=>1110100=>7
[8,7,6,2,4,1,3,5]=>1110100=>7
[8,7,6,2,5,1,3,4]=>1110100=>7
[8,7,6,3,5,1,2,4]=>1110100=>7
[4,8,3,7,2,6,1,5]=>0101010=>4
[5,8,3,7,2,6,1,4]=>0101010=>4
[5,8,4,7,2,6,1,3]=>0101010=>4
[5,8,4,7,3,6,1,2]=>0101010=>4
[6,8,3,7,2,5,1,4]=>0101010=>4
[6,8,4,7,2,5,1,3]=>0101010=>4
[6,8,4,7,3,5,1,2]=>0101010=>4
[6,8,5,7,2,4,1,3]=>0101010=>4
[6,8,5,7,3,4,1,2]=>0101010=>4
[7,8,3,6,2,5,1,4]=>0101010=>4
[7,8,4,6,2,5,1,3]=>0101010=>4
[7,8,4,6,3,5,1,2]=>0101010=>4
[7,8,5,6,2,4,1,3]=>0101010=>4
[5,4,3,8,2,7,1,6]=>1101010=>7
[6,4,3,8,2,7,1,5]=>1101010=>7
[6,5,3,8,2,7,1,4]=>1101010=>7
[6,5,4,8,2,7,1,3]=>1101010=>7
[6,5,4,8,3,7,1,2]=>1101010=>7
[7,4,3,8,2,6,1,5]=>1101010=>7
[7,5,3,8,2,6,1,4]=>1101010=>7
[7,5,4,8,2,6,1,3]=>1101010=>7
[7,6,3,8,2,5,1,4]=>1101010=>7
[7,6,4,8,2,5,1,3]=>1101010=>7
[7,6,5,8,2,4,1,3]=>1101010=>7
[8,4,3,7,2,6,1,5]=>1101010=>7
[8,5,3,7,2,6,1,4]=>1101010=>7
[8,5,4,7,2,6,1,3]=>1101010=>7
[8,5,4,7,3,6,1,2]=>1101010=>7
[8,6,3,7,2,5,1,4]=>1101010=>7
[8,6,4,7,2,5,1,3]=>1101010=>7
[8,6,5,7,2,4,1,3]=>1101010=>7
[8,7,3,6,2,5,1,4]=>1101010=>7
[8,7,4,6,2,5,1,3]=>1101010=>7
[8,7,4,6,3,5,1,2]=>1101010=>7
[8,7,5,6,2,4,1,3]=>1101010=>7
[6,5,4,3,2,8,1,7]=>1111010=>7
[7,6,4,3,2,8,1,5]=>1111010=>7
[7,6,5,4,2,8,1,3]=>1111010=>7
[8,5,4,3,2,7,1,6]=>1111010=>7
[8,6,4,3,2,7,1,5]=>1111010=>7
[8,6,5,3,2,7,1,4]=>1111010=>7
[8,6,5,4,2,7,1,3]=>1111010=>7
[8,7,4,3,2,6,1,5]=>1111010=>7
[8,7,5,3,2,6,1,4]=>1111010=>7
[8,7,5,4,2,6,1,3]=>1111010=>7
[8,7,6,3,2,5,1,4]=>1111010=>7
[8,7,6,4,2,5,1,3]=>1111010=>7
[8,7,6,5,2,4,1,3]=>1111010=>7
[8,1,2,3,4,7,5,6]=>1000010=>6
[8,1,2,3,6,4,5,7]=>1000100=>6
[8,1,2,3,7,4,5,6]=>1000100=>6
[7,1,2,3,6,4,8,5]=>1000101=>5
[5,1,2,3,8,7,4,6]=>1000110=>5
[8,1,2,3,6,7,4,5]=>1000010=>6
[4,1,2,8,3,7,5,6]=>1001010=>5
[8,1,2,5,3,4,6,7]=>1001000=>7
[7,1,2,5,3,4,8,6]=>1001001=>5
[8,1,2,6,3,4,5,7]=>1001000=>7
[7,1,2,6,3,4,8,5]=>1001001=>5
[6,1,2,5,3,8,4,7]=>1001010=>5
[8,1,2,5,3,7,4,6]=>1001010=>5
[8,1,2,6,3,7,4,5]=>1001010=>5
[6,1,2,5,3,7,8,4]=>1001001=>5
[4,1,2,8,6,3,5,7]=>1001100=>6
[4,1,2,8,7,3,5,6]=>1001100=>6
[4,1,2,7,6,3,8,5]=>1001101=>4
[8,1,2,5,6,3,4,7]=>1000100=>6
[8,1,2,5,7,3,4,6]=>1000100=>6
[8,1,2,7,6,3,4,5]=>1001100=>6
[7,1,2,5,6,3,8,4]=>1000101=>5
[4,1,2,5,8,7,3,6]=>1000110=>5
[4,1,2,8,6,7,3,5]=>1001010=>5
[8,1,2,5,6,7,3,4]=>1000010=>6
[3,1,8,2,4,7,5,6]=>1010010=>6
[3,1,8,2,6,4,5,7]=>1010100=>7
[3,1,8,2,7,4,5,6]=>1010100=>7
[3,1,7,2,6,4,8,5]=>1010101=>4
[3,1,5,2,8,7,4,6]=>1010110=>5
[3,1,8,2,6,7,4,5]=>1010010=>6
[8,1,4,2,3,5,6,7]=>1010000=>7
[7,1,4,2,3,5,8,6]=>1010001=>6
[6,1,4,2,3,8,5,7]=>1010010=>6
[8,1,4,2,3,7,5,6]=>1010010=>6
[6,1,4,2,3,7,8,5]=>1010001=>6
[8,1,5,2,3,4,6,7]=>1010000=>7
[7,1,5,2,3,4,8,6]=>1010001=>6
[8,1,7,2,3,4,5,6]=>1010000=>7
[6,1,5,2,3,8,4,7]=>1010010=>6
[8,1,5,2,3,7,4,6]=>1010010=>6
[6,1,8,2,3,7,4,5]=>1010010=>6
[6,1,5,2,3,7,8,4]=>1010001=>6
[5,1,4,2,8,3,6,7]=>1010100=>7
[5,1,4,2,7,3,8,6]=>1010101=>4
[8,1,4,2,6,3,5,7]=>1010100=>7
[8,1,4,2,7,3,5,6]=>1010100=>7
[7,1,4,2,6,3,8,5]=>1010101=>4
[8,1,5,2,6,3,4,7]=>1010100=>7
[8,1,5,2,7,3,4,6]=>1010100=>7
[7,1,8,2,6,3,4,5]=>1010100=>7
[7,1,5,2,6,3,8,4]=>1010101=>4
[5,1,4,2,6,8,3,7]=>1010010=>6
[5,1,4,2,8,7,3,6]=>1010110=>5
[8,1,4,2,6,7,3,5]=>1010010=>6
[8,1,5,2,6,7,3,4]=>1010010=>6
[5,1,4,2,6,7,8,3]=>1010001=>6
[3,1,4,8,2,7,5,6]=>1001010=>5
[3,1,8,5,2,4,6,7]=>1011000=>6
[3,1,7,5,2,4,8,6]=>1011001=>5
[3,1,8,6,2,4,5,7]=>1011000=>6
[3,1,7,6,2,4,8,5]=>1011001=>5
[3,1,6,5,2,8,4,7]=>1011010=>6
[3,1,8,5,2,7,4,6]=>1011010=>6
[3,1,8,6,2,7,4,5]=>1011010=>6
[3,1,6,5,2,7,8,4]=>1011001=>5
[8,1,4,5,2,3,6,7]=>1001000=>7
[7,1,4,5,2,3,8,6]=>1001001=>5
[8,1,4,6,2,3,5,7]=>1001000=>7
[7,1,4,8,2,3,5,6]=>1001000=>7
[7,1,4,6,2,3,8,5]=>1001001=>5
[8,1,6,5,2,3,4,7]=>1011000=>6
[7,1,8,5,2,3,4,6]=>1011000=>6
[7,1,8,6,2,3,4,5]=>1011000=>6
[7,1,6,5,2,3,8,4]=>1011001=>5
[6,1,4,5,2,8,3,7]=>1001010=>5
[8,1,4,5,2,7,3,6]=>1001010=>5
[8,1,4,6,2,7,3,5]=>1001010=>5
[8,1,6,5,2,7,3,4]=>1011010=>6
[6,1,4,5,2,7,8,3]=>1001001=>5
[3,1,4,8,6,2,5,7]=>1001100=>6
[3,1,4,8,7,2,5,6]=>1001100=>6
[3,1,4,7,6,2,8,5]=>1001101=>4
[3,1,8,5,6,2,4,7]=>1010100=>7
[3,1,8,5,7,2,4,6]=>1010100=>7
[3,1,8,7,6,2,4,5]=>1011100=>5
[3,1,7,5,6,2,8,4]=>1010101=>4
[8,1,4,5,6,2,3,7]=>1000100=>6
[8,1,4,5,7,2,3,6]=>1000100=>6
[8,1,4,7,6,2,3,5]=>1001100=>6
[8,1,7,5,6,2,3,4]=>1010100=>7
[7,1,4,5,6,2,8,3]=>1000101=>5
[3,1,4,5,8,7,2,6]=>1000110=>5
[3,1,4,8,6,7,2,5]=>1001010=>5
[3,1,8,5,6,7,2,4]=>1010010=>6
[8,1,4,5,6,7,2,3]=>1000010=>6
[2,8,1,3,4,7,5,6]=>0100010=>4
[2,8,1,3,6,4,5,7]=>0100100=>5
[2,8,1,3,7,4,5,6]=>0100100=>5
[2,7,1,3,6,4,8,5]=>0100101=>2
[2,5,1,3,8,7,4,6]=>0100110=>3
[2,8,1,3,6,7,4,5]=>0100010=>4
[2,4,1,8,3,7,5,6]=>0101010=>4
[2,8,1,5,3,4,6,7]=>0101000=>5
[2,7,1,5,3,4,8,6]=>0101001=>3
[2,8,1,6,3,4,5,7]=>0101000=>5
[2,7,1,6,3,4,8,5]=>0101001=>3
[2,6,1,5,3,8,4,7]=>0101010=>4
[2,8,1,5,3,7,4,6]=>0101010=>4
[2,6,1,5,3,7,8,4]=>0101001=>3
[2,4,1,8,6,3,5,7]=>0101100=>3
[2,4,1,8,7,3,5,6]=>0101100=>3
[2,4,1,7,6,3,8,5]=>0101101=>2
[2,8,1,5,6,3,4,7]=>0100100=>5
[2,8,1,5,7,3,4,6]=>0100100=>5
[2,8,1,7,6,3,4,5]=>0101100=>3
[2,7,1,5,6,3,8,4]=>0100101=>2
[2,4,1,5,8,7,3,6]=>0100110=>3
[2,4,1,8,6,7,3,5]=>0101010=>4
[2,8,1,5,6,7,3,4]=>0100010=>4
[7,3,1,2,4,5,8,6]=>1100001=>6
[6,3,1,2,4,8,5,7]=>1100010=>7
[8,3,1,2,4,7,5,6]=>1100010=>7
[6,3,1,2,4,7,8,5]=>1100001=>6
[5,3,1,2,8,4,6,7]=>1100100=>7
[5,3,1,2,7,4,8,6]=>1100101=>6
[8,3,1,2,6,4,5,7]=>1100100=>7
[8,3,1,2,7,4,5,6]=>1100100=>7
[7,3,1,2,6,4,8,5]=>1100101=>6
[5,3,1,2,6,8,4,7]=>1100010=>7
[5,3,1,2,8,7,4,6]=>1100110=>6
[8,3,1,2,6,7,4,5]=>1100010=>7
[5,3,1,2,6,7,8,4]=>1100001=>6
[7,4,1,2,3,5,8,6]=>1100001=>6
[6,4,1,2,3,8,5,7]=>1100010=>7
[8,4,1,2,3,7,5,6]=>1100010=>7
[6,4,1,2,3,7,8,5]=>1100001=>6
[7,6,1,2,3,4,8,5]=>1100001=>6
[5,8,1,2,3,7,4,6]=>0100010=>4
[8,6,1,2,3,7,4,5]=>1100010=>7
[5,4,1,2,8,3,6,7]=>1100100=>7
[5,4,1,2,7,3,8,6]=>1100101=>6
[8,4,1,2,6,3,5,7]=>1100100=>7
[8,4,1,2,7,3,5,6]=>1100100=>7
[7,4,1,2,6,3,8,5]=>1100101=>6
[5,8,1,2,6,3,4,7]=>0100100=>5
[5,8,1,2,7,3,4,6]=>0100100=>5
[8,7,1,2,6,3,4,5]=>1100100=>7
[5,7,1,2,6,3,8,4]=>0100101=>2
[5,4,1,2,6,8,3,7]=>1100010=>7
[5,4,1,2,8,7,3,6]=>1100110=>6
[8,4,1,2,6,7,3,5]=>1100010=>7
[5,8,1,2,6,7,3,4]=>0100010=>4
[5,4,1,2,6,7,8,3]=>1100001=>6
[4,3,1,8,2,5,6,7]=>1101000=>7
[4,3,1,7,2,5,8,6]=>1101001=>6
[4,3,1,6,2,8,5,7]=>1101010=>7
[4,3,1,8,2,7,5,6]=>1101010=>7
[4,3,1,6,2,7,8,5]=>1101001=>6
[8,3,1,5,2,4,6,7]=>1101000=>7
[7,3,1,5,2,4,8,6]=>1101001=>6
[8,3,1,6,2,4,5,7]=>1101000=>7
[7,3,1,8,2,4,5,6]=>1101000=>7
[7,3,1,6,2,4,8,5]=>1101001=>6
[6,3,1,5,2,8,4,7]=>1101010=>7
[8,3,1,5,2,7,4,6]=>1101010=>7
[8,3,1,6,2,7,4,5]=>1101010=>7
[6,3,1,5,2,7,8,4]=>1101001=>6
[8,4,1,5,2,3,6,7]=>1101000=>7
[7,4,1,5,2,3,8,6]=>1101001=>6
[8,4,1,6,2,3,5,7]=>1101000=>7
[7,4,1,8,2,3,5,6]=>1101000=>7
[7,4,1,6,2,3,8,5]=>1101001=>6
[6,8,1,5,2,3,4,7]=>0101000=>5
[8,7,1,5,2,3,4,6]=>1101000=>7
[8,7,1,6,2,3,4,5]=>1101000=>7
[6,7,1,5,2,3,8,4]=>0101001=>3
[6,4,1,5,2,8,3,7]=>1101010=>7
[8,4,1,5,2,7,3,6]=>1101010=>7
[8,4,1,6,2,7,3,5]=>1101010=>7
[6,8,1,5,2,7,3,4]=>0101010=>4
[6,4,1,5,2,7,8,3]=>1101001=>6
[4,3,1,5,8,2,6,7]=>1100100=>7
[4,3,1,5,7,2,8,6]=>1100101=>6
[4,3,1,8,6,2,5,7]=>1101100=>7
[4,3,1,8,7,2,5,6]=>1101100=>7
[4,3,1,7,6,2,8,5]=>1101101=>5
[8,3,1,5,6,2,4,7]=>1100100=>7
[8,3,1,5,7,2,4,6]=>1100100=>7
[8,3,1,7,6,2,4,5]=>1101100=>7
[7,3,1,5,6,2,8,4]=>1100101=>6
[8,4,1,5,6,2,3,7]=>1100100=>7
[8,4,1,5,7,2,3,6]=>1100100=>7
[8,4,1,7,6,2,3,5]=>1101100=>7
[7,8,1,5,6,2,3,4]=>0100100=>5
[7,4,1,5,6,2,8,3]=>1100101=>6
[4,3,1,5,6,8,2,7]=>1100010=>7
[4,3,1,5,8,7,2,6]=>1100110=>6
[4,3,1,8,6,7,2,5]=>1101010=>7
[8,3,1,5,6,7,2,4]=>1100010=>7
[8,4,1,5,6,7,2,3]=>1100010=>7
[4,3,1,5,6,7,8,2]=>1100001=>6
[2,3,8,1,4,7,5,6]=>0010010=>3
[2,3,8,1,6,4,5,7]=>0010100=>3
[2,3,8,1,7,4,5,6]=>0010100=>3
[2,3,7,1,6,4,8,5]=>0010101=>1
[2,3,5,1,8,7,4,6]=>0010110=>2
[2,3,8,1,6,7,4,5]=>0010010=>3
[2,8,4,1,3,5,6,7]=>0110000=>5
[2,7,4,1,3,5,8,6]=>0110001=>4
[2,6,4,1,3,8,5,7]=>0110010=>4
[2,8,4,1,3,7,5,6]=>0110010=>4
[2,6,4,1,3,7,8,5]=>0110001=>4
[2,8,5,1,3,4,6,7]=>0110000=>5
[2,7,5,1,3,4,8,6]=>0110001=>4
[2,8,7,1,3,4,5,6]=>0110000=>5
[2,6,5,1,3,8,4,7]=>0110010=>4
[2,8,5,1,3,7,4,6]=>0110010=>4
[2,6,8,1,3,7,4,5]=>0010010=>3
[2,6,5,1,3,7,8,4]=>0110001=>4
[2,5,4,1,8,3,6,7]=>0110100=>4
[2,5,4,1,7,3,8,6]=>0110101=>3
[2,8,4,1,6,3,5,7]=>0110100=>4
[2,8,4,1,7,3,5,6]=>0110100=>4
[2,7,4,1,6,3,8,5]=>0110101=>3
[2,8,5,1,6,3,4,7]=>0110100=>4
[2,8,5,1,7,3,4,6]=>0110100=>4
[2,7,8,1,6,3,4,5]=>0010100=>3
[2,7,5,1,6,3,8,4]=>0110101=>3
[2,5,4,1,6,8,3,7]=>0110010=>4
[2,5,4,1,8,7,3,6]=>0110110=>3
[2,8,4,1,6,7,3,5]=>0110010=>4
[2,8,5,1,6,7,3,4]=>0110010=>4
[2,5,4,1,6,7,8,3]=>0110001=>4
[7,3,4,1,2,5,8,6]=>1010001=>6
[6,3,4,1,2,8,5,7]=>1010010=>6
[8,3,4,1,2,7,5,6]=>1010010=>6
[6,3,4,1,2,7,8,5]=>1010001=>6
[7,3,5,1,2,4,8,6]=>1010001=>6
[6,3,7,1,2,4,8,5]=>1010001=>6
[6,3,5,1,2,8,4,7]=>1010010=>6
[8,3,5,1,2,7,4,6]=>1010010=>6
[6,3,8,1,2,7,4,5]=>1010010=>6
[6,3,5,1,2,7,8,4]=>1010001=>6
[7,5,4,1,2,3,8,6]=>1110001=>6
[6,8,4,1,2,3,5,7]=>0110000=>5
[6,7,4,1,2,3,8,5]=>0110001=>4
[6,8,5,1,2,3,4,7]=>0110000=>5
[6,7,5,1,2,3,8,4]=>0110001=>4
[6,5,4,1,2,8,3,7]=>1110010=>7
[8,5,4,1,2,7,3,6]=>1110010=>7
[6,8,4,1,2,7,3,5]=>0110010=>4
[6,8,5,1,2,7,3,4]=>0110010=>4
[6,5,4,1,2,7,8,3]=>1110001=>6
[5,3,4,1,8,2,6,7]=>1010100=>7
[5,3,4,1,7,2,8,6]=>1010101=>4
[8,3,4,1,6,2,5,7]=>1010100=>7
[8,3,4,1,7,2,5,6]=>1010100=>7
[7,3,4,1,6,2,8,5]=>1010101=>4
[8,3,5,1,6,2,4,7]=>1010100=>7
[8,3,5,1,7,2,4,6]=>1010100=>7
[7,3,8,1,6,2,4,5]=>1010100=>7
[7,3,5,1,6,2,8,4]=>1010101=>4
[8,5,4,1,6,2,3,7]=>1110100=>7
[8,5,4,1,7,2,3,6]=>1110100=>7
[7,8,4,1,6,2,3,5]=>0110100=>4
[7,8,5,1,6,2,3,4]=>0110100=>4
[7,5,4,1,6,2,8,3]=>1110101=>6
[5,3,4,1,6,8,2,7]=>1010010=>6
[5,3,4,1,8,7,2,6]=>1010110=>5
[8,3,4,1,6,7,2,5]=>1010010=>6
[8,3,5,1,6,7,2,4]=>1010010=>6
[8,5,4,1,6,7,2,3]=>1110010=>7
[5,3,4,1,6,7,8,2]=>1010001=>6
[2,3,4,8,1,7,5,6]=>0001010=>2
[2,3,8,5,1,4,6,7]=>0011000=>4
[2,3,7,5,1,4,8,6]=>0011001=>2
[2,3,8,6,1,4,5,7]=>0011000=>4
[2,3,7,6,1,4,8,5]=>0011001=>2
[2,3,6,5,1,8,4,7]=>0011010=>2
[2,3,8,5,1,7,4,6]=>0011010=>2
[2,3,8,6,1,7,4,5]=>0011010=>2
[2,3,6,5,1,7,8,4]=>0011001=>2
[2,8,4,5,1,3,6,7]=>0101000=>5
[2,7,4,5,1,3,8,6]=>0101001=>3
[2,8,4,6,1,3,5,7]=>0101000=>5
[2,7,4,8,1,3,5,6]=>0101000=>5
[2,7,4,6,1,3,8,5]=>0101001=>3
[2,8,6,5,1,3,4,7]=>0111000=>4
[2,7,8,5,1,3,4,6]=>0011000=>4
[2,7,8,6,1,3,4,5]=>0011000=>4
[2,7,6,5,1,3,8,4]=>0111001=>3
[2,6,4,5,1,8,3,7]=>0101010=>4
[2,8,4,5,1,7,3,6]=>0101010=>4
[2,8,4,6,1,7,3,5]=>0101010=>4
[2,8,6,5,1,7,3,4]=>0111010=>3
[2,6,4,5,1,7,8,3]=>0101001=>3
[7,3,4,5,1,2,8,6]=>1001001=>5
[7,3,4,6,1,2,8,5]=>1001001=>5
[8,3,6,5,1,2,4,7]=>1011000=>6
[7,3,8,5,1,2,4,6]=>1011000=>6
[7,3,8,6,1,2,4,5]=>1011000=>6
[7,3,6,5,1,2,8,4]=>1011001=>5
[7,6,4,5,1,2,8,3]=>1101001=>6
[6,3,4,5,1,8,2,7]=>1001010=>5
[8,3,4,5,1,7,2,6]=>1001010=>5
[8,3,4,6,1,7,2,5]=>1001010=>5
[8,3,6,5,1,7,2,4]=>1011010=>6
[8,6,4,5,1,7,2,3]=>1101010=>7
[6,3,4,5,1,7,8,2]=>1001001=>5
[2,3,4,8,6,1,5,7]=>0001100=>3
[2,3,4,8,7,1,5,6]=>0001100=>3
[2,3,4,7,6,1,8,5]=>0001101=>1
[2,3,8,5,6,1,4,7]=>0010100=>3
[2,3,8,5,7,1,4,6]=>0010100=>3
[2,3,8,7,6,1,4,5]=>0011100=>3
[2,3,7,5,6,1,8,4]=>0010101=>1
[2,8,4,5,6,1,3,7]=>0100100=>5
[2,8,4,5,7,1,3,6]=>0100100=>5
[2,8,4,7,6,1,3,5]=>0101100=>3
[2,8,7,5,6,1,3,4]=>0110100=>4
[2,7,4,5,6,1,8,3]=>0100101=>2
[8,3,4,5,7,1,2,6]=>1000100=>6
[8,3,4,7,6,1,2,5]=>1001100=>6
[8,3,7,5,6,1,2,4]=>1010100=>7
[7,3,4,5,6,1,8,2]=>1000101=>5
[2,3,4,5,8,7,1,6]=>0000110=>2
[2,3,4,8,6,7,1,5]=>0001010=>2
[2,3,8,5,6,7,1,4]=>0010010=>3
[2,8,4,5,6,7,1,3]=>0100010=>4
[9,1,2,3,4,5,6,7,8]=>10000000=>8
[8,1,2,3,4,5,6,9,7]=>10000001=>7
[7,1,2,3,4,5,9,6,8]=>10000010=>7
[9,1,2,3,4,5,8,6,7]=>10000010=>7
[7,1,2,3,4,5,8,9,6]=>10000001=>7
[6,1,2,3,4,9,5,7,8]=>10000100=>7
[6,1,2,3,4,8,5,9,7]=>10000101=>6
[9,1,2,3,4,7,5,6,8]=>10000100=>7
[9,1,2,3,4,8,5,6,7]=>10000100=>7
[8,1,2,3,4,7,5,9,6]=>10000101=>6
[6,1,2,3,4,7,9,5,8]=>10000010=>7
[6,1,2,3,4,9,8,5,7]=>10000110=>6
[9,1,2,3,4,7,8,5,6]=>10000010=>7
[6,1,2,3,4,7,8,9,5]=>10000001=>7
[5,1,2,3,8,4,6,9,7]=>10001001=>6
[9,1,2,3,6,4,5,7,8]=>10001000=>8
[8,1,2,3,9,4,5,6,7]=>10001000=>8
[5,1,2,3,9,8,4,6,7]=>10001100=>6
[9,1,2,3,6,8,4,5,7]=>10000100=>7
[5,1,2,3,6,9,8,4,7]=>10000110=>6
[5,1,2,3,6,7,8,9,4]=>10000001=>7
[4,1,2,8,3,5,6,9,7]=>10010001=>7
[4,1,2,9,3,5,8,6,7]=>10010010=>6
[4,1,2,9,3,8,5,6,7]=>10010100=>7
[9,1,2,5,3,4,6,7,8]=>10010000=>8
[9,1,2,8,3,4,5,6,7]=>10010000=>8
[7,1,2,8,3,4,5,9,6]=>10010001=>7
[4,1,2,5,9,3,6,7,8]=>10001000=>8
[4,1,2,8,9,3,5,6,7]=>10001000=>8
[8,1,2,5,9,3,4,6,7]=>10001000=>8
[8,1,2,9,6,3,4,5,7]=>10011000=>7
[4,1,2,5,9,8,3,6,7]=>10001100=>6
[9,1,2,8,6,7,3,4,5]=>10010100=>7
[4,1,2,5,6,7,9,3,8]=>10000010=>7
[4,1,2,9,6,7,8,3,5]=>10010010=>6
[9,1,2,5,6,7,8,3,4]=>10000010=>7
[4,1,2,5,6,7,8,9,3]=>10000001=>7
[3,1,9,2,4,5,6,7,8]=>10100000=>8
[3,1,8,2,4,5,6,9,7]=>10100001=>7
[3,1,9,2,4,5,8,6,7]=>10100010=>7
[3,1,5,2,7,4,9,6,8]=>10101010=>8
[8,1,4,2,3,5,6,9,7]=>10100001=>7
[9,1,4,2,3,5,8,6,7]=>10100010=>7
[6,1,4,2,3,7,8,9,5]=>10100001=>7
[9,1,8,2,3,4,5,6,7]=>10100000=>8
[8,1,7,2,3,4,5,9,6]=>10100001=>7
[3,1,4,9,2,5,6,7,8]=>10010000=>8
[3,1,4,9,2,5,8,6,7]=>10010010=>6
[3,1,9,8,2,4,5,6,7]=>10110000=>7
[9,1,4,5,2,3,6,7,8]=>10010000=>8
[7,1,4,5,2,3,8,9,6]=>10010001=>7
[7,1,4,9,2,3,5,6,8]=>10010000=>8
[9,1,4,8,2,3,5,6,7]=>10010000=>8
[9,1,6,5,2,3,4,7,8]=>10110000=>7
[7,1,9,6,2,3,4,5,8]=>10110000=>7
[9,1,8,6,2,3,4,5,7]=>10110000=>7
[7,1,8,9,2,3,4,5,6]=>10010000=>8
[3,1,4,8,9,2,5,6,7]=>10001000=>8
[3,1,8,9,7,2,4,5,6]=>10011000=>7
[8,1,4,5,6,2,3,9,7]=>10001001=>6
[8,1,4,9,7,2,3,5,6]=>10011000=>7
[8,1,9,5,6,2,3,4,7]=>10101000=>8
[8,1,9,7,6,2,3,4,5]=>10111000=>6
[7,1,4,5,6,2,8,9,3]=>10001001=>6
[3,1,4,5,6,9,2,7,8]=>10000100=>7
[3,1,4,5,6,8,2,9,7]=>10000101=>6
[3,1,4,9,8,7,2,5,6]=>10011100=>6
[3,1,9,8,6,7,2,4,5]=>10110100=>7
[9,1,4,5,6,7,2,3,8]=>10000100=>7
[9,1,4,8,6,7,2,3,5]=>10010100=>7
[9,1,8,5,6,7,2,3,4]=>10100100=>8
[8,1,4,5,6,7,2,9,3]=>10000101=>6
[3,1,4,5,6,7,9,2,8]=>10000010=>7
[3,1,4,9,6,7,8,2,5]=>10010010=>6
[3,1,9,5,6,7,8,2,4]=>10100010=>7
[9,1,4,5,6,7,8,2,3]=>10000010=>7
[3,1,4,5,6,7,8,9,2]=>10000001=>7
[2,9,1,3,4,5,6,7,8]=>01000000=>7
[2,8,1,3,4,5,6,9,7]=>01000001=>5
[2,7,1,3,4,5,9,6,8]=>01000010=>5
[2,9,1,3,4,5,8,6,7]=>01000010=>5
[2,7,1,3,4,5,8,9,6]=>01000001=>5
[2,6,1,3,4,9,5,7,8]=>01000100=>6
[2,9,1,3,4,8,5,6,7]=>01000100=>6
[2,8,1,3,9,4,5,6,7]=>01001000=>6
[2,9,1,3,8,7,4,5,6]=>01001100=>4
[2,9,1,3,6,7,8,4,5]=>01000010=>5
[2,5,1,3,6,7,8,9,4]=>01000001=>5
[2,4,1,6,3,8,5,9,7]=>01010101=>4
[2,9,1,8,3,4,5,6,7]=>01010000=>6
[2,7,1,6,3,4,8,9,5]=>01010001=>4
[2,6,1,5,3,7,8,9,4]=>01010001=>4
[2,4,1,5,9,3,6,7,8]=>01001000=>6
[2,4,1,8,9,3,5,6,7]=>01001000=>6
[2,8,1,9,7,3,4,5,6]=>01011000=>4
[2,9,1,8,6,7,3,4,5]=>01010100=>5
[2,4,1,5,6,7,9,3,8]=>01000010=>5
[2,4,1,5,6,9,8,3,7]=>01000110=>4
[2,9,1,5,6,7,8,3,4]=>01000010=>5
[2,4,1,5,6,7,8,9,3]=>01000001=>5
[9,3,1,2,4,5,6,7,8]=>11000000=>8
[8,3,1,2,4,5,6,9,7]=>11000001=>7
[9,3,1,2,4,5,8,6,7]=>11000010=>8
[6,3,1,2,4,7,8,9,5]=>11000001=>7
[9,3,1,2,6,7,8,4,5]=>11000010=>8
[5,3,1,2,6,7,8,9,4]=>11000001=>7
[9,4,1,2,3,5,6,7,8]=>11000000=>8
[7,4,1,2,3,5,8,9,6]=>11000001=>7
[6,4,1,2,3,7,8,9,5]=>11000001=>7
[5,9,1,2,3,4,6,7,8]=>01000000=>7
[5,8,1,2,3,4,6,9,7]=>01000001=>5
[5,7,1,2,3,4,8,9,6]=>01000001=>5
[9,6,1,2,3,4,5,7,8]=>11000000=>8
[8,6,1,2,3,4,5,9,7]=>11000001=>7
[9,7,1,2,3,4,5,6,8]=>11000000=>8
[8,9,1,2,3,4,5,6,7]=>01000000=>7
[8,7,1,2,3,4,5,9,6]=>11000001=>7
[7,6,1,2,3,4,9,5,8]=>11000010=>8
[9,6,1,2,3,4,8,5,7]=>11000010=>8
[9,7,1,2,3,4,8,5,6]=>11000010=>8
[7,6,1,2,3,4,8,9,5]=>11000001=>7
[5,6,1,2,3,9,4,7,8]=>01000100=>6
[5,9,1,2,3,8,4,6,7]=>01000100=>6
[9,6,1,2,3,7,4,5,8]=>11000100=>8
[9,8,1,2,3,7,4,5,6]=>11000100=>8
[8,6,1,2,3,7,4,9,5]=>11000101=>7
[5,6,1,2,3,7,9,4,8]=>01000010=>5
[9,6,1,2,3,7,8,4,5]=>11000010=>8
[5,6,1,2,3,7,8,9,4]=>01000001=>5
[5,4,1,2,9,3,6,7,8]=>11001000=>8
[8,4,1,2,9,3,5,6,7]=>11001000=>8
[5,9,1,2,6,3,4,7,8]=>01001000=>6
[9,7,1,2,6,3,8,4,5]=>11001010=>8
[5,4,1,2,6,9,3,7,8]=>11000100=>8
[9,8,1,2,6,7,3,4,5]=>11000100=>8
[5,4,1,2,6,7,9,3,8]=>11000010=>8
[5,4,1,2,6,7,8,9,3]=>11000001=>7
[4,3,1,9,2,5,6,7,8]=>11010000=>8
[9,3,1,8,2,4,5,6,7]=>11010000=>8
[9,4,1,5,2,3,6,7,8]=>11010000=>8
[9,4,1,8,2,3,5,6,7]=>11010000=>8
[6,9,1,5,2,3,4,7,8]=>01010000=>6
[9,7,1,6,2,3,4,5,8]=>11010000=>8
[8,7,1,9,2,3,4,5,6]=>11010000=>8
[8,7,1,6,2,3,4,9,5]=>11010001=>7
[9,4,1,6,2,8,3,5,7]=>11010100=>8
[9,8,1,6,2,7,3,4,5]=>11010100=>8
[4,3,1,5,9,2,6,7,8]=>11001000=>8
[9,8,1,7,6,2,3,4,5]=>11011000=>8
[4,3,1,5,6,8,2,9,7]=>11000101=>7
[4,3,1,5,9,8,2,6,7]=>11001100=>8
[4,3,1,5,8,7,2,9,6]=>11001101=>6
[8,9,1,5,6,7,2,3,4]=>01000100=>6
[4,3,1,5,6,7,9,2,8]=>11000010=>8
[4,3,1,5,6,9,8,2,7]=>11000110=>7
[9,3,1,5,6,7,8,2,4]=>11000010=>8
[9,4,1,5,6,7,8,2,3]=>11000010=>8
[4,3,1,5,6,7,8,9,2]=>11000001=>7
[2,3,9,1,4,5,6,7,8]=>00100000=>6
[2,3,8,1,4,5,6,9,7]=>00100001=>3
[2,3,9,1,4,5,8,6,7]=>00100010=>4
[2,3,9,1,4,7,8,5,6]=>00100010=>4
[2,3,9,1,8,7,4,5,6]=>00101100=>3
[2,3,8,1,6,7,4,9,5]=>00100101=>1
[2,3,5,1,6,7,9,4,8]=>00100010=>4
[2,3,9,1,6,7,8,4,5]=>00100010=>4
[2,3,5,1,6,7,8,9,4]=>00100001=>3
[2,9,4,1,3,5,6,7,8]=>01100000=>6
[2,6,4,1,3,7,8,9,5]=>01100001=>5
[2,9,5,1,3,4,6,7,8]=>01100000=>6
[2,6,9,1,3,4,5,7,8]=>00100000=>6
[2,9,7,1,3,4,5,6,8]=>01100000=>6
[2,9,8,1,3,4,5,6,7]=>01100000=>6
[2,6,7,1,3,4,8,9,5]=>00100001=>3
[2,9,4,1,6,3,5,7,8]=>01101000=>5
[2,8,4,1,9,3,5,6,7]=>01101000=>5
[2,9,4,1,6,3,8,5,7]=>01101010=>4
[2,9,8,1,7,3,4,5,6]=>01101000=>5
[2,9,5,1,6,7,8,3,4]=>01100010=>5
[9,3,4,1,2,5,6,7,8]=>10100000=>8
[6,3,4,1,2,7,8,9,5]=>10100001=>7
[9,3,7,1,2,4,5,6,8]=>10100000=>8
[9,3,8,1,2,4,5,6,7]=>10100000=>8
[9,5,4,1,2,3,6,7,8]=>11100000=>8
[8,5,4,1,2,3,6,9,7]=>11100001=>7
[6,9,4,1,2,3,5,7,8]=>01100000=>6
[6,8,4,1,2,3,5,9,7]=>01100001=>5
[9,7,4,1,2,3,5,6,8]=>11100000=>8
[9,8,4,1,2,3,5,6,7]=>11100000=>8
[6,9,5,1,2,3,4,7,8]=>01100000=>6
[6,8,5,1,2,3,4,9,7]=>01100001=>5
[8,7,5,1,2,3,4,9,6]=>11100001=>7
[6,7,9,1,2,3,4,5,8]=>00100000=>6
[6,9,8,1,2,3,4,5,7]=>01100000=>6
[9,7,8,1,2,3,4,5,6]=>10100000=>8
[6,7,8,1,2,3,4,9,5]=>00100001=>3
[6,5,4,1,2,8,3,9,7]=>11100101=>7
[9,8,5,1,7,2,3,4,6]=>11101000=>8
[7,8,9,1,6,2,3,4,5]=>00101000=>4
[7,8,5,1,6,2,3,9,4]=>01101001=>4
[5,3,4,1,6,8,2,9,7]=>10100101=>6
[9,3,4,1,8,7,2,5,6]=>10101100=>6
[8,3,4,1,6,7,2,9,5]=>10100101=>6
[9,5,4,1,8,7,2,3,6]=>11101100=>8
[8,5,4,1,6,7,2,9,3]=>11100101=>7
[5,3,4,1,9,7,8,2,6]=>10101010=>8
[9,3,5,1,6,7,8,2,4]=>10100010=>7
[9,5,4,1,6,7,8,2,3]=>11100010=>8
[5,3,4,1,6,7,8,9,2]=>10100001=>7
[2,3,4,9,1,5,6,7,8]=>00010000=>5
[2,3,4,9,1,5,8,6,7]=>00010010=>2
[2,3,4,9,1,7,8,5,6]=>00010010=>2
[2,3,4,6,1,7,8,9,5]=>00010001=>2
[2,3,9,5,1,4,6,7,8]=>00110000=>5
[2,3,9,6,1,4,5,7,8]=>00110000=>5
[2,3,7,9,1,4,5,6,8]=>00010000=>5
[2,3,9,8,1,4,5,6,7]=>00110000=>5
[2,3,9,5,1,7,4,6,8]=>00110100=>3
[2,3,9,6,1,7,8,4,5]=>00110010=>3
[2,9,4,5,1,3,6,7,8]=>01010000=>6
[2,7,4,5,1,3,8,9,6]=>01010001=>4
[2,9,8,6,1,3,4,5,7]=>01110000=>5
[2,7,8,9,1,3,4,5,6]=>00010000=>5
[2,8,9,6,1,7,3,4,5]=>00110100=>3
[2,9,6,5,1,7,8,3,4]=>01110010=>4
[7,3,4,5,1,2,8,9,6]=>10010001=>7
[9,3,4,8,1,2,5,6,7]=>10010000=>8
[7,3,4,8,1,2,5,9,6]=>10010001=>7
[7,3,8,9,1,2,4,5,6]=>10010000=>8
[9,8,4,5,1,2,3,6,7]=>11010000=>8
[7,8,4,6,1,2,3,9,5]=>01010001=>4
[9,8,6,5,1,2,3,4,7]=>11110000=>8
[7,8,9,6,1,2,3,4,5]=>00110000=>5
[7,8,6,5,1,2,3,9,4]=>01110001=>4
[8,3,9,6,1,7,2,4,5]=>10110100=>7
[8,3,6,5,1,7,2,9,4]=>10110101=>5
[8,6,4,5,1,7,2,9,3]=>11010101=>7
[6,3,4,5,1,7,9,2,8]=>10010010=>6
[6,3,4,5,1,9,8,2,7]=>10010110=>5
[9,3,4,6,1,7,8,2,5]=>10010010=>6
[6,3,4,5,1,7,8,9,2]=>10010001=>7
[2,3,4,5,9,1,6,7,8]=>00001000=>4
[2,3,4,5,8,1,6,9,7]=>00001001=>1
[2,3,4,5,9,1,8,6,7]=>00001010=>2
[2,3,4,5,7,1,8,9,6]=>00001001=>1
[2,3,4,9,6,1,5,7,8]=>00011000=>4
[2,3,4,9,7,1,5,6,8]=>00011000=>4
[2,3,4,9,6,1,8,5,7]=>00011010=>2
[2,3,4,9,7,1,8,5,6]=>00011010=>2
[2,3,9,5,6,1,4,7,8]=>00101000=>4
[2,3,8,5,6,1,4,9,7]=>00101001=>2
[2,3,9,5,6,1,8,4,7]=>00101010=>2
[2,8,4,5,6,1,3,9,7]=>01001001=>3
[2,8,9,5,7,1,3,4,6]=>00101000=>4
[2,8,9,7,6,1,3,4,5]=>00111000=>4
[2,9,7,5,6,1,8,3,4]=>01101010=>4
[8,3,4,5,6,1,2,9,7]=>10001001=>6
[8,3,4,7,6,1,2,9,5]=>10011001=>6
[8,3,9,7,6,1,2,4,5]=>10111000=>6
[8,3,7,5,6,1,2,9,4]=>10101001=>7
[9,7,4,5,6,1,2,3,8]=>11001000=>8
[8,9,4,5,6,1,2,3,7]=>01001000=>6
[8,9,7,5,6,1,2,3,4]=>01101000=>5
[8,7,4,5,6,1,2,9,3]=>11001001=>7
[7,3,4,5,6,1,9,2,8]=>10001010=>6
[9,3,4,5,6,1,8,2,7]=>10001010=>6
[9,3,7,5,6,1,8,2,4]=>10101010=>8
[7,3,4,5,6,1,8,9,2]=>10001001=>6
[2,3,4,5,6,9,1,7,8]=>00000100=>3
[2,3,4,5,6,8,1,9,7]=>00000101=>1
[2,3,4,5,9,7,1,6,8]=>00001100=>3
[2,3,4,5,9,8,1,6,7]=>00001100=>3
[2,3,4,9,6,7,1,5,8]=>00010100=>3
[2,3,9,5,6,7,1,4,8]=>00100100=>4
[2,3,9,5,6,8,1,4,7]=>00100100=>4
[2,9,4,5,6,7,1,3,8]=>01000100=>6
[2,9,4,5,6,8,1,3,7]=>01000100=>6
[2,9,4,5,8,7,1,3,6]=>01001100=>4
[2,9,4,8,6,7,1,3,5]=>01010100=>5
[2,9,8,5,6,7,1,3,4]=>01100100=>5
[2,8,4,5,6,7,1,9,3]=>01000101=>3
[9,3,4,5,6,7,1,2,8]=>10000100=>7
[9,3,4,5,6,8,1,2,7]=>10000100=>7
[9,8,4,5,6,7,1,2,3]=>11000100=>8
[8,3,4,5,6,7,1,9,2]=>10000101=>6
[2,3,4,5,6,7,9,1,8]=>00000010=>2
[2,3,4,5,6,9,8,1,7]=>00000110=>2
[2,3,4,5,9,7,8,1,6]=>00001010=>2
[2,3,4,9,6,7,8,1,5]=>00010010=>2
[2,3,9,5,6,7,8,1,4]=>00100010=>4
[2,9,4,5,6,7,8,1,3]=>01000010=>5
[9,3,4,5,6,7,8,1,2]=>10000010=>7
[2,3,4,5,6,7,8,9,1]=>00000001=>1
[3,5,2,6,1,4,8,7]=>0101001=>3
[3,5,2,6,4,1,8,7]=>0101101=>2
[3,5,2,7,4,8,1,6]=>0101010=>4
[3,5,2,7,4,8,6,1]=>0101011=>1
[4,5,7,2,3,8,6,1]=>0010011=>1
[4,5,7,2,3,8,1,6]=>0010010=>3
[4,5,6,2,3,1,8,7]=>0010101=>1
[4,5,6,2,1,3,8,7]=>0011001=>2
[3,5,1,6,4,2,8,7]=>0101101=>2
[4,5,6,1,3,2,8,7]=>0010101=>1
[4,5,6,3,1,2,8,7]=>0011001=>2
[4,5,7,3,2,8,1,6]=>0011010=>2
[4,5,7,3,2,8,6,1]=>0011011=>1
[4,6,7,3,8,2,5,1]=>0010101=>1
[4,6,7,3,8,2,1,5]=>0010110=>2
[4,6,7,3,8,1,2,5]=>0010100=>3
[4,5,7,3,1,8,2,6]=>0011010=>2
[4,5,7,1,3,8,2,6]=>0010010=>3
[3,5,1,7,4,8,2,6]=>0101010=>4
[2,1,5,7,4,8,3,6]=>1001010=>5
[2,1,5,7,4,8,6,3]=>1001011=>4
[3,5,1,7,4,8,6,2]=>0101011=>1
[4,5,7,1,3,8,6,2]=>0010011=>1
[4,5,7,3,1,8,6,2]=>0011011=>1
[4,6,7,3,8,1,5,2]=>0010101=>1
[4,6,7,3,8,5,1,2]=>0010110=>2
[4,6,7,3,8,5,2,1]=>0010111=>1
[5,6,7,8,3,1,4,2]=>0001101=>1
[5,6,7,8,1,3,4,2]=>0001001=>1
[4,6,7,1,8,3,5,2]=>0010101=>1
[3,6,1,7,8,4,5,2]=>0100101=>2
[2,1,6,7,8,4,5,3]=>1000101=>5
[2,1,6,7,8,4,3,5]=>1000110=>5
[3,6,1,7,8,4,2,5]=>0100110=>3
[4,6,7,1,8,3,2,5]=>0010110=>2
[5,6,7,8,1,3,2,4]=>0001010=>2
[4,5,7,2,1,8,3,6]=>0011010=>2
[4,6,7,2,8,1,3,5]=>0010100=>3
[4,6,7,2,8,3,1,5]=>0010110=>2
[4,6,7,2,8,3,5,1]=>0010101=>1
[3,6,2,7,8,4,5,1]=>0100101=>2
[3,6,2,7,8,4,1,5]=>0100110=>3
[3,6,2,7,8,1,4,5]=>0100100=>5
[3,5,2,7,1,8,4,6]=>0101010=>4
[3,4,2,1,7,8,5,6]=>0110010=>4
[3,4,1,2,7,8,6,5]=>0100011=>3
[3,5,2,7,1,8,6,4]=>0101011=>1
[3,6,2,7,8,1,5,4]=>0100101=>2
[3,6,2,7,8,5,1,4]=>0100110=>3
[3,6,2,7,8,5,4,1]=>0100111=>2
[4,6,7,2,8,5,3,1]=>0010111=>1
[4,6,7,2,8,5,1,3]=>0010110=>2
[4,6,7,2,8,1,5,3]=>0010101=>1
[4,5,7,2,1,8,6,3]=>0011011=>1
[4,5,7,1,2,8,6,3]=>0010011=>1
[3,5,1,7,2,8,6,4]=>0101011=>1
[2,1,5,7,3,8,6,4]=>1001011=>4
[2,1,6,7,8,3,5,4]=>1000101=>5
[3,6,1,7,8,2,5,4]=>0100101=>2
[4,6,7,1,8,2,5,3]=>0010101=>1
[5,6,7,8,1,2,4,3]=>0001001=>1
[5,6,7,8,2,1,4,3]=>0001101=>1
[5,6,7,8,2,4,1,3]=>0001010=>2
[5,6,7,8,2,4,3,1]=>0001011=>1
[5,6,7,8,1,4,2,3]=>0001010=>2
[4,6,7,1,8,5,2,3]=>0010110=>2
[3,6,1,7,8,5,2,4]=>0100110=>3
[2,1,6,7,8,5,3,4]=>1000110=>5
[3,6,1,7,8,5,4,2]=>0100111=>2
[4,6,7,1,8,5,3,2]=>0010111=>1
[5,6,7,8,1,4,3,2]=>0001011=>1
[5,6,7,8,4,1,3,2]=>0001101=>1
[3,4,2,1,6,5,8,7,10,9]=>011010101=>4
[3,5,2,6,4,1,8,7,10,9]=>010110101=>3
[3,5,2,7,4,8,6,1,10,9]=>010101101=>2
[3,5,2,7,4,9,6,10,8,1]=>010101011=>1
[2,1,5,6,4,3,8,7,10,9]=>100110101=>5
[4,5,6,3,2,1,8,7,10,9]=>001110101=>1
[4,5,7,3,2,8,6,1,10,9]=>001101101=>1
[4,5,7,3,2,9,6,10,8,1]=>001101011=>1
[2,1,5,7,4,8,6,3,10,9]=>100101101=>5
[4,6,7,3,8,5,2,1,10,9]=>001011101=>1
[4,6,7,3,9,5,2,10,8,1]=>001011011=>1
[2,1,5,7,4,9,6,10,8,3]=>100101011=>5
[4,6,8,3,9,5,10,7,2,1]=>001010111=>1
[2,1,4,3,7,8,6,5,10,9]=>101001101=>6
[3,4,2,1,7,8,6,5,10,9]=>011001101=>3
[3,6,2,7,8,5,4,1,10,9]=>010011101=>2
[3,6,2,7,9,5,4,10,8,1]=>010011011=>2
[2,1,6,7,8,5,4,3,10,9]=>100011101=>5
[5,6,7,8,4,3,2,1,10,9]=>000111101=>1
[5,6,7,9,4,3,2,10,8,1]=>000111011=>1
[2,1,6,7,9,5,4,10,8,3]=>100011011=>5
[5,6,8,9,4,3,10,7,2,1]=>000110111=>1
[2,1,4,3,7,9,6,10,8,5]=>101001011=>6
[3,4,2,1,7,9,6,10,8,5]=>011001011=>3
[3,6,2,8,9,5,10,7,4,1]=>010010111=>2
[2,1,6,8,9,5,10,7,4,3]=>100010111=>5
[5,7,8,9,4,10,6,3,2,1]=>000101111=>1
[6,7,8,9,10,1,4,5,3,2]=>000010011=>1
[6,7,8,9,10,1,4,5,2,3]=>000010010=>2
[6,7,8,9,10,4,3,2,1,5]=>000011110=>2
[6,7,8,9,10,1,3,4,5,2]=>000010001=>1
[6,7,8,9,10,3,4,1,2,5]=>000010100=>3
[6,7,8,9,10,3,4,2,1,5]=>000010110=>2
[6,7,8,9,10,2,3,4,1,5]=>000010010=>2
[2,1,4,3,6,5,9,10,8,7]=>101010011=>7
[3,4,2,1,6,5,9,10,8,7]=>011010011=>3
[3,5,2,6,4,1,9,10,8,7]=>010110011=>2
[3,5,2,8,4,9,10,7,6,1]=>010100111=>3
[2,1,5,6,4,3,9,10,8,7]=>100110011=>5
[4,5,6,3,2,1,9,10,8,7]=>001110011=>2
[4,5,8,3,2,9,10,7,6,1]=>001100111=>1
[2,1,5,8,4,9,10,7,6,3]=>100100111=>5
[4,7,8,3,9,10,6,5,2,1]=>001001111=>1
[2,1,4,3,8,9,10,7,6,5]=>101000111=>6
[3,4,2,1,8,9,10,7,6,5]=>011000111=>3
[3,7,2,8,9,10,6,5,4,1]=>010001111=>3
[2,1,7,8,9,10,6,5,4,3]=>100001111=>5
[6,7,8,9,10,1,5,4,3,2]=>000010111=>1
[6,7,8,9,10,5,4,3,2,1]=>000011111=>1
[6,5,8,7,3,4,1,2]=>1011010=>6
[3,6,7,4,5,8,1,2]=>0010010=>3
[2,6,7,4,5,1,8,3]=>0010101=>1
[1,6,7,4,5,2,3,8]=>0010100=>3
[1,5,4,7,6,2,3,8]=>0101100=>3
[2,5,4,7,6,1,8,3]=>0101101=>2
[3,5,4,7,6,8,1,2]=>0101010=>4
[4,5,3,7,8,6,1,2]=>0100110=>3
[5,4,3,8,7,6,1,2]=>1101110=>6
[6,4,8,3,7,5,1,2]=>1010110=>5
[6,3,8,4,5,7,1,2]=>1010010=>6
[5,3,4,8,6,7,1,2]=>1001010=>5
[4,3,5,6,8,7,1,2]=>1000110=>5
[3,2,5,6,1,8,7,4]=>1001011=>4
[4,2,5,6,8,1,7,3]=>1000101=>5
[5,2,4,8,6,1,7,3]=>1001101=>4
[6,2,8,4,5,1,7,3]=>1010101=>4
[7,8,2,4,5,1,6,3]=>0100101=>2
[7,8,1,4,5,2,3,6]=>0100100=>5
[6,1,8,4,5,2,3,7]=>1010100=>7
[5,1,4,8,6,2,3,7]=>1001100=>6
[4,1,3,2,8,6,5,7]=>1010110=>5
[5,1,3,8,2,6,4,7]=>1001010=>5
[6,1,8,3,2,5,4,7]=>1011010=>6
[7,8,1,3,2,5,4,6]=>0101010=>4
[7,8,2,3,1,5,6,4]=>0101001=>3
[6,2,8,3,1,5,7,4]=>1011001=>5
[5,2,3,8,1,6,7,4]=>1001001=>5
[6,3,8,2,1,7,5,4]=>1011011=>3
[7,8,3,2,1,6,5,4]=>0111011=>2
[7,8,4,2,6,1,5,3]=>0110101=>3
[5,4,2,8,7,1,6,3]=>1101101=>5
[4,5,2,7,8,1,6,3]=>0100101=>2
[2,5,3,7,1,6,8,4]=>0101001=>3
[1,5,3,7,2,6,4,8]=>0101010=>4
[1,6,7,3,2,5,4,8]=>0011010=>2
[2,6,7,3,1,5,8,4]=>0011001=>2
[3,6,7,2,1,8,5,4]=>0011011=>1
[7,8,5,6,2,1,4,3]=>0101101=>2
[6,5,8,7,1,2,3,4]=>1011000=>6
[5,4,1,8,7,2,3,6]=>1101100=>7
[6,4,8,1,7,2,3,5]=>1010100=>7
[7,8,3,1,2,6,4,5]=>0110010=>4
[5,3,1,8,2,7,4,6]=>1101010=>7
[4,3,1,2,8,7,5,6]=>1100110=>6
[4,2,1,3,8,5,7,6]=>1100101=>6
[5,2,1,8,3,4,7,6]=>1101001=>6
[6,2,8,1,3,4,7,5]=>1010001=>6
[7,8,2,1,3,4,6,5]=>0110001=>4
[4,3,1,2,6,5,8,7]=>1100101=>6
[5,3,1,6,2,4,8,7]=>1101001=>6
[6,3,1,5,2,4,8,7]=>1101001=>6
[7,3,1,5,2,8,4,6]=>1101010=>7
[8,4,5,1,2,7,3,6]=>1010010=>6
[7,4,5,1,2,8,3,6]=>1010010=>6
[6,4,5,1,2,3,8,7]=>1010001=>6
[5,4,6,1,2,3,8,7]=>1010001=>6
[2,1,6,5,3,4,8,7]=>1011001=>5
[3,6,1,5,2,4,8,7]=>0101001=>3
[4,6,5,1,2,3,8,7]=>0110001=>4
[5,6,4,1,2,3,8,7]=>0110001=>4
[6,5,4,1,2,3,8,7]=>1110001=>6
[7,5,4,1,2,8,3,6]=>1110010=>7
[8,6,4,1,7,2,3,5]=>1110100=>7
[7,6,4,1,8,2,3,5]=>1110100=>7
[6,7,4,1,8,2,3,5]=>0110100=>4
[5,7,4,1,2,8,3,6]=>0110010=>4
[4,7,5,1,2,8,3,6]=>0110010=>4
[3,7,1,5,2,8,4,6]=>0101010=>4
[2,1,7,5,3,8,4,6]=>1011010=>6
[2,1,8,5,3,7,4,6]=>1011010=>6
[3,8,1,5,2,7,4,6]=>0101010=>4
[4,8,5,1,2,7,3,6]=>0110010=>4
[5,8,4,1,2,7,3,6]=>0110010=>4
[6,8,4,1,7,2,3,5]=>0110100=>4
[8,7,4,1,6,2,3,5]=>1110100=>7
[5,8,6,7,1,2,3,4]=>0101000=>5
[4,8,6,1,7,2,3,5]=>0110100=>4
[3,8,1,6,7,2,4,5]=>0100100=>5
[2,1,8,6,7,3,4,5]=>1010100=>7
[2,1,7,6,8,3,4,5]=>1010100=>7
[3,7,1,6,8,2,4,5]=>0100100=>5
[4,7,6,1,8,2,3,5]=>0110100=>4
[5,7,6,8,1,2,3,4]=>0101000=>5
[5,4,7,1,2,8,3,6]=>1010010=>6
[6,4,7,1,8,2,3,5]=>1010100=>7
[7,4,6,1,8,2,3,5]=>1010100=>7
[8,4,6,1,7,2,3,5]=>1010100=>7
[8,3,1,6,7,2,4,5]=>1100100=>7
[7,3,1,6,8,2,4,5]=>1100100=>7
[6,3,1,7,8,2,4,5]=>1100100=>7
[5,3,1,7,2,8,4,6]=>1101010=>7
[4,3,1,2,7,8,5,6]=>1100010=>7
[2,1,4,3,8,7,5,6]=>1010110=>5
[3,4,1,2,8,7,5,6]=>0100110=>3
[6,3,1,8,7,2,4,5]=>1101100=>7
[7,3,1,8,6,2,4,5]=>1101100=>7
[8,4,7,1,6,2,3,5]=>1010100=>7
[7,4,8,1,6,2,3,5]=>1010100=>7
[5,4,8,1,2,7,3,6]=>1010010=>6
[4,5,8,1,2,7,3,6]=>0010010=>3
[3,5,1,8,2,7,4,6]=>0101010=>4
[2,1,5,8,3,7,4,6]=>1001010=>5
[2,1,6,8,7,3,4,5]=>1001100=>6
[3,6,1,8,7,2,4,5]=>0101100=>3
[4,6,8,1,7,2,3,5]=>0010100=>3
[5,6,8,7,1,2,3,4]=>0011000=>4
[7,5,8,6,1,2,3,4]=>1011000=>6
[8,5,7,6,1,2,3,4]=>1011000=>6
[5,7,8,6,1,2,3,4]=>0011000=>4
[4,7,8,1,6,2,3,5]=>0010100=>3
[3,7,1,8,6,2,4,5]=>0101100=>3
[2,1,7,8,6,3,4,5]=>1001100=>6
[2,1,8,7,6,3,4,5]=>1011100=>5
[3,8,1,7,6,2,4,5]=>0101100=>3
[4,8,7,1,6,2,3,5]=>0110100=>4
[5,8,7,6,1,2,3,4]=>0111000=>4
[6,8,7,5,1,2,3,4]=>0111000=>4
[6,4,7,3,8,5,1,2]=>1010110=>5
[6,4,7,3,5,8,1,2]=>1010010=>6
[6,4,7,2,5,1,8,3]=>1010101=>4
[5,4,2,7,6,1,3,8]=>1101100=>7
[5,4,2,7,6,1,8,3]=>1101101=>5
[5,4,3,7,6,8,1,2]=>1101010=>7
[5,4,3,7,8,6,1,2]=>1100110=>6
[6,4,8,3,5,7,1,2]=>1010010=>6
[5,4,3,8,6,7,1,2]=>1101010=>7
[5,4,3,6,8,7,1,2]=>1100110=>6
[5,4,2,6,7,1,8,3]=>1100101=>6
[5,4,2,6,7,1,3,8]=>1100100=>7
[5,3,2,6,1,7,4,8]=>1101010=>7
[5,3,2,6,1,7,8,4]=>1101001=>6
[5,3,2,6,1,8,7,4]=>1101011=>5
[5,4,2,6,8,1,7,3]=>1100101=>6
[5,4,2,8,6,1,7,3]=>1101101=>5
[6,4,8,2,5,1,7,3]=>1010101=>4
[7,8,4,2,5,1,6,3]=>0110101=>3
[7,8,4,2,5,1,3,6]=>0110100=>4
[5,4,2,8,6,1,3,7]=>1101100=>7
[5,3,2,6,1,8,4,7]=>1101010=>7
[4,3,2,1,6,8,5,7]=>1110010=>7
[4,3,2,1,8,6,5,7]=>1110110=>7
[5,3,2,8,1,6,4,7]=>1101010=>7
[6,3,8,2,1,5,4,7]=>1011010=>6
[7,8,3,2,1,5,4,6]=>0111010=>3
[7,8,3,2,1,5,6,4]=>0111001=>3
[6,3,8,2,1,5,7,4]=>1011001=>5
[5,3,2,8,1,6,7,4]=>1101001=>6
[5,4,2,7,8,1,6,3]=>1100101=>6
[5,3,2,7,1,8,6,4]=>1101011=>5
[5,3,2,7,1,6,8,4]=>1101001=>6
[5,3,2,7,1,6,4,8]=>1101010=>7
[6,3,7,2,1,5,4,8]=>1011010=>6
[6,3,7,2,1,5,8,4]=>1011001=>5
[6,3,7,2,1,8,5,4]=>1011011=>3
[6,4,7,2,8,1,5,3]=>1010101=>4
[6,5,7,8,2,1,4,3]=>1001101=>4
[6,5,8,7,2,1,3,4]=>1011100=>5
[6,3,7,2,1,8,4,5]=>1011010=>6
[6,3,7,2,1,4,8,5]=>1011001=>5
[6,3,7,2,1,4,5,8]=>1011000=>6
[5,3,2,7,1,4,8,6]=>1101001=>6
[5,4,2,8,7,1,3,6]=>1101100=>7
[7,8,4,2,6,1,3,5]=>0110100=>4
[7,8,3,2,1,6,4,5]=>0111010=>3
[6,3,8,2,1,7,4,5]=>1011010=>6
[5,3,2,8,1,7,4,6]=>1101010=>7
[4,3,2,1,8,7,5,6]=>1110110=>7
[4,3,2,1,7,5,8,6]=>1110101=>6
[4,3,2,1,7,5,6,8]=>1110100=>7
[4,3,2,1,8,5,7,6]=>1110101=>6
[5,3,2,8,1,4,7,6]=>1101001=>6
[6,3,8,2,1,4,7,5]=>1011001=>5
[7,8,3,2,1,4,6,5]=>0111001=>3
[6,3,8,2,1,4,5,7]=>1011000=>6
[4,3,2,1,8,5,6,7]=>1110100=>7
[4,3,2,1,5,8,6,7]=>1110010=>7
[7,8,5,6,1,2,4,3]=>0101001=>3
[7,8,4,1,6,2,5,3]=>0110101=>3
[7,8,1,4,6,2,5,3]=>0100101=>2
[6,1,8,4,7,2,5,3]=>1010101=>4
[1,6,8,4,7,2,5,3]=>0010101=>1
[1,6,8,3,2,7,5,4]=>0011011=>1
[6,1,8,3,2,7,5,4]=>1011011=>3
[7,8,1,3,2,6,5,4]=>0101011=>1
[7,8,3,1,2,6,5,4]=>0110011=>2
[7,8,3,4,6,5,1,2]=>0100110=>3
[7,8,2,4,6,1,5,3]=>0100101=>2
[7,8,2,3,1,6,5,4]=>0101011=>1
[7,8,2,1,3,6,5,4]=>0110011=>2
[7,8,1,2,3,6,5,4]=>0100011=>3
[6,1,8,2,3,7,5,4]=>1010011=>5
[1,6,8,2,3,7,5,4]=>0010011=>1
[1,5,2,8,3,7,6,4]=>0101011=>1
[5,1,2,8,3,7,6,4]=>1001011=>4
[5,2,1,8,3,7,6,4]=>1101011=>5
[6,2,8,1,3,7,5,4]=>1010011=>5
[6,2,8,3,1,7,5,4]=>1011011=>3
[6,2,8,4,7,1,5,3]=>1010101=>4
[6,3,8,4,7,5,1,2]=>1010110=>5
[3,6,8,4,7,5,1,2]=>0010110=>2
[2,6,8,4,7,1,5,3]=>0010101=>1
[2,6,8,3,1,7,5,4]=>0011011=>1
[2,6,8,1,3,7,5,4]=>0010011=>1
[2,5,1,8,3,7,6,4]=>0101011=>1
[1,2,5,8,3,7,6,4]=>0001011=>1
[2,4,1,3,8,7,6,5]=>0100111=>2
[2,5,3,8,1,7,6,4]=>0101011=>1
[2,5,4,8,7,1,6,3]=>0101101=>2
[3,5,4,8,7,6,1,2]=>0101110=>2
[5,3,4,8,7,6,1,2]=>1001110=>4
[5,2,4,8,7,1,6,3]=>1001101=>4
[5,2,3,8,1,7,6,4]=>1001011=>4
[4,2,1,3,8,7,6,5]=>1100111=>4
[4,1,2,3,8,7,6,5]=>1000111=>4
[1,4,2,3,8,7,6,5]=>0100111=>2
[4,1,3,2,8,7,6,5]=>1010111=>3
[4,3,1,2,8,7,6,5]=>1100111=>4
[6,3,8,1,2,7,5,4]=>1010011=>5
[5,3,1,8,2,7,6,4]=>1101011=>5
[5,1,3,8,2,7,6,4]=>1001011=>4
[1,5,3,8,2,7,6,4]=>0101011=>1
[1,5,4,8,7,2,6,3]=>0101101=>2
[5,1,4,8,7,2,6,3]=>1001101=>4
[5,4,1,8,7,2,6,3]=>1101101=>5
[6,4,8,1,7,2,5,3]=>1010101=>4
[6,5,8,7,1,2,4,3]=>1011001=>5
[5,6,8,7,3,4,1,2]=>0011010=>2
[5,6,8,7,2,1,4,3]=>0011101=>1
[4,5,1,8,7,2,6,3]=>0101101=>2
[4,1,5,8,7,2,6,3]=>1001101=>4
[1,4,5,8,7,2,6,3]=>0001101=>1
[1,3,5,8,2,7,6,4]=>0001011=>1
[3,1,5,8,2,7,6,4]=>1001011=>4
[3,6,8,1,2,7,5,4]=>0010011=>1
[3,6,8,2,1,7,5,4]=>0011011=>1
[4,6,8,2,7,1,5,3]=>0010101=>1
[4,6,8,3,7,5,1,2]=>0010110=>2
[4,5,3,8,7,6,1,2]=>0101110=>2
[4,5,2,8,7,1,6,3]=>0101101=>2
[3,5,2,8,1,7,6,4]=>0101011=>1
[3,1,4,2,8,7,6,5]=>1010111=>3
[3,1,2,4,8,7,6,5]=>1000111=>4
[3,2,5,8,1,7,6,4]=>1001011=>4
[4,2,5,8,7,1,6,3]=>1001101=>4
[4,3,5,8,7,6,1,2]=>1001110=>4
[3,4,5,8,7,6,1,2]=>0001110=>2
[2,4,5,8,7,1,6,3]=>0001101=>1
[2,3,5,8,1,7,6,4]=>0001011=>1
[4,1,3,2,6,5,8,7]=>1010101=>4
[5,1,3,2,6,4,8,7]=>1010101=>4
[6,1,3,2,5,4,8,7]=>1010101=>4
[7,1,3,2,5,4,8,6]=>1010101=>4
[8,1,3,2,5,4,7,6]=>1010101=>4
[8,1,4,2,5,3,7,6]=>1010101=>4
[7,1,4,2,5,3,8,6]=>1010101=>4
[6,1,4,2,5,3,8,7]=>1010101=>4
[5,1,4,2,6,3,8,7]=>1010101=>4
[2,1,6,3,5,4,8,7]=>1010101=>4
[3,1,6,2,5,4,8,7]=>1010101=>4
[4,1,6,2,5,3,8,7]=>1010101=>4
[6,2,5,1,4,3,8,7]=>1010101=>4
[5,2,6,1,4,3,8,7]=>1010101=>4
[5,2,7,1,4,3,8,6]=>1010101=>4
[5,2,8,1,4,3,7,6]=>1010101=>4
[6,2,8,1,4,3,7,5]=>1010101=>4
[6,2,7,1,4,3,8,5]=>1010101=>4
[7,2,6,1,4,3,8,5]=>1010101=>4
[7,2,5,1,4,3,8,6]=>1010101=>4
[4,1,7,2,5,3,8,6]=>1010101=>4
[3,1,7,2,5,4,8,6]=>1010101=>4
[2,1,7,3,5,4,8,6]=>1010101=>4
[2,1,8,3,5,4,7,6]=>1010101=>4
[3,1,8,2,5,4,7,6]=>1010101=>4
[4,1,8,2,5,3,7,6]=>1010101=>4
[8,2,5,1,4,3,7,6]=>1010101=>4
[8,2,6,1,4,3,7,5]=>1010101=>4
[7,1,4,3,8,2,6,5]=>1010101=>4
[8,1,4,3,7,2,6,5]=>1010101=>4
[8,1,5,3,7,2,6,4]=>1010101=>4
[7,1,5,3,8,2,6,4]=>1010101=>4
[8,2,6,1,5,3,7,4]=>1010101=>4
[5,1,8,2,6,3,7,4]=>1010101=>4
[4,1,8,2,6,3,7,5]=>1010101=>4
[3,1,8,2,6,4,7,5]=>1010101=>4
[2,1,8,3,6,4,7,5]=>1010101=>4
[2,1,7,3,6,4,8,5]=>1010101=>4
[4,1,7,2,6,3,8,5]=>1010101=>4
[5,1,7,2,6,3,8,4]=>1010101=>4
[7,2,6,1,5,3,8,4]=>1010101=>4
[6,2,7,1,5,3,8,4]=>1010101=>4
[6,2,8,1,5,3,7,4]=>1010101=>4
[8,1,5,2,6,3,7,4]=>1010101=>4
[6,1,5,2,7,3,8,4]=>1010101=>4
[6,1,4,2,7,3,8,5]=>1010101=>4
[8,1,4,2,6,3,7,5]=>1010101=>4
[8,1,3,2,6,4,7,5]=>1010101=>4
[7,1,3,2,6,4,8,5]=>1010101=>4
[6,1,3,2,7,4,8,5]=>1010101=>4
[5,1,3,2,7,4,8,6]=>1010101=>4
[4,1,3,2,7,5,8,6]=>1010101=>4
[2,1,4,3,8,5,7,6]=>1010101=>4
[3,1,4,2,8,5,7,6]=>1010101=>4
[4,1,3,2,8,5,7,6]=>1010101=>4
[5,1,3,2,8,4,7,6]=>1010101=>4
[6,1,3,2,8,4,7,5]=>1010101=>4
[8,4,7,1,3,2,6,5]=>1010101=>4
[7,4,8,1,3,2,6,5]=>1010101=>4
[7,3,8,1,4,2,6,5]=>1010101=>4
[8,3,7,1,4,2,6,5]=>1010101=>4
[6,1,4,2,8,3,7,5]=>1010101=>4
[5,1,4,2,8,3,7,6]=>1010101=>4
[4,1,5,2,8,3,7,6]=>1010101=>4
[3,1,5,2,8,4,7,6]=>1010101=>4
[2,1,5,3,8,4,7,6]=>1010101=>4
[2,1,6,3,8,4,7,5]=>1010101=>4
[3,1,6,2,8,4,7,5]=>1010101=>4
[4,1,6,2,8,3,7,5]=>1010101=>4
[5,1,6,2,8,3,7,4]=>1010101=>4
[6,1,5,2,8,3,7,4]=>1010101=>4
[8,3,7,1,5,2,6,4]=>1010101=>4
[7,3,8,1,5,2,6,4]=>1010101=>4
[6,2,7,3,8,1,5,4]=>1010101=>4
[6,2,8,3,7,1,5,4]=>1010101=>4
[8,3,7,2,6,1,5,4]=>1010101=>4
[5,1,8,3,7,2,6,4]=>1010101=>4
[4,1,8,3,7,2,6,5]=>1010101=>4
[3,1,8,4,7,2,6,5]=>1010101=>4
[2,1,8,4,7,3,6,5]=>1010101=>4
[2,1,7,4,8,3,6,5]=>1010101=>4
[3,1,7,4,8,2,6,5]=>1010101=>4
[4,1,7,3,8,2,6,5]=>1010101=>4
[5,1,7,3,8,2,6,4]=>1010101=>4
[7,3,8,2,6,1,5,4]=>1010101=>4
[8,2,6,3,7,1,5,4]=>1010101=>4
[7,2,6,3,8,1,5,4]=>1010101=>4
[3,4,2,6,8,1,5,7]=>0100100=>5
[5,3,6,2,8,1,4,7]=>1010100=>7
[5,3,6,2,4,8,1,7]=>1010010=>6
[5,7,3,8,2,4,1,6]=>0101010=>4
[5,7,3,8,2,4,6,1]=>0101001=>3
[7,4,2,5,8,3,6,1]=>1100101=>6
[7,4,2,5,8,3,1,6]=>1100110=>6
[4,5,2,6,3,8,1,7]=>0101010=>4
[4,5,2,1,6,8,3,7]=>0110010=>4
[5,3,1,6,8,2,4,7]=>1100100=>7
[5,6,2,8,1,3,4,7]=>0101000=>5
[3,5,6,1,4,8,2,7]=>0010010=>3
[4,1,5,6,3,8,2,7]=>1001010=>5
[4,5,1,6,3,8,2,7]=>0101010=>4
[4,5,6,3,2,8,1,7]=>0011010=>2
[7,4,5,3,8,2,1,6]=>1010110=>5
[7,4,5,3,8,2,6,1]=>1010101=>4
[6,7,4,8,3,2,5,1]=>0101101=>2
[6,7,4,8,3,2,1,5]=>0101110=>2
[6,7,4,1,8,3,2,5]=>0110110=>3
[7,4,5,3,1,8,2,6]=>1011010=>6
[4,7,1,5,8,3,2,6]=>0100110=>3
[5,3,7,8,1,4,2,6]=>1001010=>5
[7,5,8,2,4,6,1,3]=>1010010=>6
[7,3,5,8,1,4,6,2]=>1001001=>5
[4,5,1,7,8,3,6,2]=>0100101=>2
[7,4,1,5,8,3,6,2]=>1100101=>6
[6,7,4,3,8,1,5,2]=>0110101=>3
[6,7,4,8,3,1,5,2]=>0101101=>2
[6,7,4,8,3,5,2,1]=>0101011=>1
[5,6,7,3,8,4,2,1]=>0010111=>1
[5,6,7,3,1,8,4,2]=>0011011=>1
[5,6,1,7,3,8,4,2]=>0101011=>1
[5,1,6,7,3,8,4,2]=>1001011=>4
[6,4,7,1,8,3,5,2]=>1010101=>4
[6,7,8,3,1,4,5,2]=>0011001=>2
[6,7,2,8,4,5,1,3]=>0101010=>4
[6,7,2,8,4,1,3,5]=>0101100=>3
[6,1,7,4,8,3,2,5]=>1010110=>5
[5,1,6,7,3,2,8,4]=>1001101=>4
[5,6,1,7,3,2,8,4]=>0101101=>2
[5,6,7,3,2,1,8,4]=>0011101=>1
[5,6,7,3,2,8,4,1]=>0011011=>1
[5,6,2,7,3,8,4,1]=>0101011=>1
[5,6,2,7,3,1,8,4]=>0101101=>2
[5,6,2,1,7,3,8,4]=>0110101=>3
[6,1,7,4,2,8,3,5]=>1011010=>6
[6,7,2,1,8,3,4,5]=>0110100=>4
[7,5,8,2,1,3,4,6]=>1011000=>6
[5,7,3,1,8,2,4,6]=>0110100=>4
[4,7,1,5,2,8,3,6]=>0101010=>4
[7,4,2,5,1,8,3,6]=>1101010=>7
[6,7,4,2,1,8,3,5]=>0111010=>3
[6,7,4,2,8,3,1,5]=>0110110=>3
[6,7,4,2,8,3,5,1]=>0110101=>3
[3,6,7,2,8,4,5,1]=>0010101=>1
[3,6,7,2,8,4,1,5]=>0010110=>2
[3,6,7,2,1,8,4,5]=>0011010=>2
[5,7,3,8,2,1,4,6]=>0101100=>3
[3,4,7,8,2,1,5,6]=>0001100=>3
[3,7,8,1,4,6,2,5]=>0010010=>3
[3,4,7,8,2,6,1,5]=>0001010=>2
[5,7,3,8,2,6,1,4]=>0101010=>4
[3,6,7,2,8,5,1,4]=>0010110=>2
[3,6,7,8,5,2,1,4]=>0001110=>2
[3,6,7,8,5,2,4,1]=>0001101=>1
[6,4,7,8,2,5,3,1]=>1001011=>4
[6,4,7,8,2,1,5,3]=>1001101=>4
[4,1,5,7,8,2,6,3]=>1000101=>5
[5,3,7,8,1,6,2,4]=>1001010=>5
[6,7,2,8,5,1,3,4]=>0101100=>3
[6,4,1,7,8,2,5,3]=>1100101=>6
[5,1,6,2,7,8,4,3]=>1010011=>5
[5,6,2,1,7,8,4,3]=>0110011=>2
[5,6,2,7,1,8,4,3]=>0101011=>1
[5,6,2,7,8,4,3,1]=>0100111=>2
[5,6,7,2,8,4,3,1]=>0010111=>1
[5,6,7,2,1,8,4,3]=>0011011=>1
[5,6,1,7,2,8,4,3]=>0101011=>1
[5,1,6,7,2,8,4,3]=>1001011=>4
[6,4,7,1,8,2,5,3]=>1010101=>4
[3,6,7,1,8,5,2,4]=>0010110=>2
[6,7,8,5,2,4,1,3]=>0011010=>2
[6,7,8,3,5,1,4,2]=>0010101=>1
[4,6,7,8,1,5,3,2]=>0001011=>1
[5,1,6,7,8,4,3,2]=>1000111=>4
[5,6,1,7,8,4,3,2]=>0100111=>2
[5,6,7,1,8,4,3,2]=>0010111=>1
[8,6,1,3,4,2,5,7]=>1100100=>7
[8,3,2,5,1,6,4,7]=>1101010=>7
[8,5,3,6,2,4,1,7]=>1101010=>7
[5,3,2,7,4,1,8,6]=>1101101=>5
[7,5,3,8,2,4,6,1]=>1101001=>6
[7,2,4,5,8,3,6,1]=>1000101=>5
[2,4,5,3,7,1,8,6]=>0010101=>1
[8,2,4,5,6,3,1,7]=>1000110=>5
[8,2,4,5,6,1,3,7]=>1000100=>6
[8,1,2,4,5,6,3,7]=>1000010=>6
[8,2,5,1,3,6,4,7]=>1010010=>6
[8,5,6,2,1,4,3,7]=>1011010=>6
[8,5,3,6,4,1,2,7]=>1101100=>7
[8,4,1,5,6,3,2,7]=>1100110=>6
[8,1,4,5,6,3,2,7]=>1000110=>5
[4,5,3,7,2,1,8,6]=>0101101=>2
[7,4,5,8,3,2,6,1]=>1001101=>4
[4,3,6,7,2,8,5,1]=>1001011=>4
[4,3,6,7,2,8,1,5]=>1001010=>5
[1,4,3,6,7,2,8,5]=>0100101=>2
[4,5,3,7,1,8,2,6]=>0101010=>4
[4,1,5,3,7,2,8,6]=>1010101=>4
[5,3,4,7,1,2,8,6]=>1001001=>5
[7,5,8,2,1,4,6,3]=>1011001=>5
[7,5,3,8,4,1,6,2]=>1101101=>5
[7,4,5,8,3,6,1,2]=>1001010=>5
[4,3,6,7,8,1,5,2]=>1000101=>5
[1,6,4,7,8,3,5,2]=>0100101=>2
[6,4,7,8,3,5,2,1]=>1001011=>4
[3,5,6,7,8,4,1,2]=>0000110=>2
[3,1,5,6,7,8,4,2]=>1000011=>5
[4,6,1,7,8,3,5,2]=>0100101=>2
[3,6,7,1,4,8,5,2]=>0010011=>1
[6,2,4,1,7,8,5,3]=>1010011=>5
[2,6,7,1,4,8,3,5]=>0010010=>3
[4,3,6,7,8,1,2,5]=>1000100=>6
[1,5,3,6,7,8,2,4]=>0100010=>4
[3,5,6,7,8,2,1,4]=>0000110=>2
[3,5,6,7,8,2,4,1]=>0000101=>1
[5,2,7,1,3,8,4,6]=>1010010=>6
[5,3,1,7,8,2,4,6]=>1100100=>7
[4,5,2,7,8,1,3,6]=>0100100=>5
[4,2,6,7,8,3,1,5]=>1000110=>5
[4,2,6,7,8,3,5,1]=>1000101=>5
[3,6,2,7,4,8,5,1]=>0101011=>1
[3,6,2,7,4,8,1,5]=>0101010=>4
[3,2,1,6,4,7,8,5]=>1101001=>6
[3,7,4,2,1,5,8,6]=>0111001=>3
[1,7,3,4,2,5,8,6]=>0101001=>3
[4,7,2,1,3,5,8,6]=>0110001=>4
[7,8,4,2,1,3,6,5]=>0111001=>3
[7,8,1,3,4,2,6,5]=>0100101=>2
[7,8,3,4,2,1,6,5]=>0101101=>2
[6,3,2,7,1,8,5,4]=>1101011=>5
[3,6,2,7,1,8,5,4]=>0101011=>1
[6,7,3,8,2,5,4,1]=>0101011=>1
[6,4,7,8,5,2,3,1]=>1001101=>4
[2,6,4,7,8,1,5,3]=>0100101=>2
[4,6,2,7,8,1,5,3]=>0100101=>2
[7,4,5,8,6,2,1,3]=>1001110=>4
[7,4,1,5,8,6,2,3]=>1100110=>6
[7,5,3,8,6,1,2,4]=>1101100=>7
[7,5,8,2,1,6,3,4]=>1011010=>6
[6,2,7,1,3,8,5,4]=>1010011=>5
[6,3,1,7,8,2,5,4]=>1100101=>6
[4,6,1,7,8,5,2,3]=>0100110=>3
[5,1,2,6,7,8,4,3]=>1000011=>5
[5,2,6,7,8,4,1,3]=>1000110=>5
[5,2,6,7,8,4,3,1]=>1000111=>4
[2,5,6,7,8,4,1,3]=>0000110=>2
[1,5,2,6,7,8,4,3]=>0100011=>3
[1,6,4,7,8,5,2,3]=>0100110=>3
[2,6,7,1,3,8,5,4]=>0010011=>1
[6,7,8,2,1,5,4,3]=>0011011=>1
[6,7,3,8,5,1,4,2]=>0101101=>2
[6,4,7,8,5,3,1,2]=>1001110=>4
[4,5,2,3,7,6,1,8]=>0100110=>3
[6,4,3,7,2,5,1,8]=>1101010=>7
[8,4,3,6,5,1,2,7]=>1101100=>7
[1,5,6,3,4,8,7,2]=>0010011=>1
[4,6,2,7,3,5,1,8]=>0101010=>4
[3,2,6,7,4,5,1,8]=>1001010=>5
[4,7,2,6,5,3,1,8]=>0101110=>2
[5,7,6,2,4,3,1,8]=>0110110=>3
[1,7,5,4,8,3,6,2]=>0110101=>3
[8,7,5,4,1,3,2,6]=>1111010=>7
[6,8,5,4,2,1,3,7]=>0111100=>3
[5,8,6,2,4,1,3,7]=>0110100=>4
[4,8,2,6,5,1,3,7]=>0101100=>3
[3,2,8,6,5,1,4,7]=>1011100=>5
[4,1,2,6,5,8,7,3]=>1001011=>4
[5,1,6,2,4,8,7,3]=>1010011=>5
[6,1,5,4,2,8,7,3]=>1011011=>3
[7,1,5,4,8,2,6,3]=>1010101=>4
[8,1,5,4,7,6,2,3]=>1010110=>5
[1,8,6,7,4,5,3,2]=>0101011=>1
[8,1,6,7,4,5,2,3]=>1001010=>5
[7,1,6,8,4,2,5,3]=>1001101=>4
[6,1,7,8,2,4,5,3]=>1001001=>5
[5,1,7,2,8,4,6,3]=>1010101=>4
[4,1,2,7,8,5,6,3]=>1000101=>5
[3,2,1,7,8,5,6,4]=>1100101=>6
[3,2,8,7,1,5,4,6]=>1011010=>6
[4,8,2,7,1,5,3,6]=>0101010=>4
[5,8,7,2,1,4,3,6]=>0111010=>3
[6,8,7,1,2,4,3,5]=>0110010=>4
[7,8,6,1,4,2,3,5]=>0110100=>4
[8,7,6,1,4,3,2,5]=>1110110=>7
[1,7,6,8,4,3,5,2]=>0101101=>2
[1,6,7,8,3,4,5,2]=>0001001=>1
[8,6,7,1,3,4,2,5]=>1010010=>6
[7,6,8,1,3,2,4,5]=>1010100=>7
[5,7,8,2,1,3,4,6]=>0011000=>4
[4,7,2,8,1,3,5,6]=>0101000=>5
[3,2,6,8,4,1,5,7]=>1001100=>6
[4,6,2,8,3,1,5,7]=>0101100=>3
[5,6,8,2,3,1,4,7]=>0010100=>3
[6,5,8,3,2,1,4,7]=>1011100=>5
[7,5,8,3,1,2,4,6]=>1011000=>6
[8,5,7,3,1,4,2,6]=>1011010=>6
[1,5,7,3,8,4,6,2]=>0010101=>1
[1,4,3,7,8,5,6,2]=>0100101=>2
[8,4,3,7,1,5,2,6]=>1101010=>7
[6,4,3,8,2,1,5,7]=>1101100=>7
[4,5,2,3,8,1,6,7]=>0100100=>5
[3,2,5,4,8,1,6,7]=>1010100=>7
[4,5,2,3,1,8,7,6]=>0101011=>1
[6,4,3,1,2,8,7,5]=>1110011=>5
[7,4,3,1,8,2,6,5]=>1110101=>6
[8,4,3,1,7,6,2,5]=>1110110=>7
[1,5,8,3,7,6,4,2]=>0010111=>1
[8,5,1,3,7,6,2,4]=>1100110=>6
[7,5,1,3,8,2,6,4]=>1100101=>6
[6,5,1,3,2,8,7,4]=>1101011=>5
[5,6,1,2,3,8,7,4]=>0100011=>3
[4,6,2,1,3,8,7,5]=>0110011=>2
[3,2,6,1,4,8,7,5]=>1010011=>5
[3,2,7,1,8,4,6,5]=>1010101=>4
[4,7,2,1,8,3,6,5]=>0110101=>3
[5,7,1,2,8,3,6,4]=>0100101=>2
[6,7,1,8,2,3,5,4]=>0101001=>3
[7,6,1,8,3,2,5,4]=>1101101=>5
[8,6,1,7,3,5,2,4]=>1101010=>7
[1,6,8,7,3,5,4,2]=>0011011=>1
[1,7,8,6,5,3,4,2]=>0011101=>1
[8,7,1,6,5,3,2,4]=>1101110=>6
[7,8,1,6,5,2,3,4]=>0101100=>3
[6,8,1,7,2,5,3,4]=>0101010=>4
[5,8,1,2,7,6,3,4]=>0100110=>3
[4,8,2,1,7,6,3,5]=>0110110=>3
[3,2,8,1,7,6,4,5]=>1010110=>5
[4,1,2,8,7,6,5,3]=>1001111=>3
[5,1,8,2,7,6,4,3]=>1010111=>3
[6,1,8,7,2,5,4,3]=>1011011=>3
[7,1,8,6,5,2,4,3]=>1011101=>4
[8,1,7,6,5,4,2,3]=>1011110=>4
[3,1,2,6,5,8,7,4]=>1001011=>4
[3,1,6,2,4,8,7,5]=>1010011=>5
[3,1,5,2,4,8,7,6]=>1010011=>5
[4,5,1,2,3,8,7,6]=>0100011=>3
[4,6,1,2,3,8,7,5]=>0100011=>3
[1,6,5,3,4,8,7,2]=>0110011=>2
[6,1,5,2,4,8,7,3]=>1010011=>5
[6,5,1,2,3,8,7,4]=>1100011=>5
[6,4,1,2,3,8,7,5]=>1100011=>5
[5,4,1,2,3,8,7,6]=>1100011=>5
[5,4,1,2,7,3,6,8]=>1100100=>7
[6,4,1,7,2,3,5,8]=>1101000=>7
[6,4,1,8,2,3,5,7]=>1101000=>7
[7,4,1,2,8,3,6,5]=>1100101=>6
[7,5,1,2,8,3,6,4]=>1100101=>6
[7,1,5,2,8,4,6,3]=>1010101=>4
[1,7,5,3,8,4,6,2]=>0110101=>3
[1,8,5,3,7,4,6,2]=>0110101=>3
[8,1,5,2,7,4,6,3]=>1010101=>4
[8,5,1,2,7,3,6,4]=>1100101=>6
[8,4,1,2,7,3,6,5]=>1100101=>6
[8,4,1,7,2,3,5,6]=>1101000=>7
[7,4,1,6,2,3,5,8]=>1101000=>7
[8,6,1,7,2,3,5,4]=>1101001=>6
[8,1,6,7,2,4,5,3]=>1001001=>5
[1,8,6,7,3,4,5,2]=>0101001=>3
[1,7,6,8,3,4,5,2]=>0101001=>3
[7,1,6,8,2,4,5,3]=>1001001=>5
[7,6,1,8,2,3,5,4]=>1101001=>6
[4,7,1,2,8,3,6,5]=>0100101=>2
[3,1,7,2,8,4,6,5]=>1010101=>4
[3,1,2,7,8,5,6,4]=>1000101=>5
[1,4,3,8,7,5,6,2]=>0101101=>2
[4,1,2,8,7,5,6,3]=>1001101=>4
[3,1,2,8,7,5,6,4]=>1001101=>4
[3,1,8,2,7,4,6,5]=>1010101=>4
[3,1,8,7,2,4,5,6]=>1011000=>6
[3,1,7,6,2,4,5,8]=>1011000=>6
[4,7,1,6,2,3,5,8]=>0101000=>5
[4,8,1,6,2,3,5,7]=>0101000=>5
[4,8,1,7,2,3,5,6]=>0101000=>5
[4,8,1,2,7,3,6,5]=>0100101=>2
[5,8,1,2,7,3,6,4]=>0100101=>2
[5,1,8,2,7,4,6,3]=>1010101=>4
[1,5,8,3,7,4,6,2]=>0010101=>1
[1,6,8,7,3,4,5,2]=>0011001=>2
[6,1,8,7,2,4,5,3]=>1011001=>5
[6,8,1,7,2,3,5,4]=>0101001=>3
[6,8,7,1,2,3,4,5]=>0110000=>5
[5,8,7,1,2,3,4,6]=>0110000=>5
[5,8,6,1,2,3,4,7]=>0110000=>5
[5,7,6,1,2,3,4,8]=>0110000=>5
[7,8,1,6,2,3,5,4]=>0101001=>3
[7,1,8,6,2,4,5,3]=>1011001=>5
[1,7,8,6,3,4,5,2]=>0011001=>2
[1,8,7,6,3,4,5,2]=>0111001=>3
[8,1,7,6,2,4,5,3]=>1011001=>5
[8,7,1,6,2,3,5,4]=>1101001=>6
[3,2,5,1,6,4,8,7]=>1010101=>4
[3,2,5,4,7,1,8,6]=>1010101=>4
[4,2,5,3,7,6,8,1]=>1010101=>4
[4,2,5,3,7,1,8,6]=>1010101=>4
[4,2,5,3,6,1,8,7]=>1010101=>4
[4,2,5,1,6,3,8,7]=>1010101=>4
[3,1,5,4,6,2,8,7]=>1010101=>4
[4,1,5,3,6,2,8,7]=>1010101=>4
[4,3,5,1,6,2,8,7]=>1010101=>4
[4,3,5,2,7,1,8,6]=>1010101=>4
[4,3,6,2,7,5,8,1]=>1010101=>4
[4,3,6,2,7,1,8,5]=>1010101=>4
[4,3,6,1,7,2,8,5]=>1010101=>4
[4,3,5,1,7,2,8,6]=>1010101=>4
[3,1,5,4,7,2,8,6]=>1010101=>4
[2,1,5,4,7,3,8,6]=>1010101=>4
[3,1,5,4,7,6,8,2]=>1010101=>4
[4,1,5,3,7,6,8,2]=>1010101=>4
[4,3,5,1,7,6,8,2]=>1010101=>4
[4,3,6,1,7,5,8,2]=>1010101=>4
[4,3,6,5,7,1,8,2]=>1010101=>4
[5,3,6,4,7,2,8,1]=>1010101=>4
[5,3,6,4,7,1,8,2]=>1010101=>4
[5,3,6,1,7,4,8,2]=>1010101=>4
[5,1,6,3,7,4,8,2]=>1010101=>4
[4,1,6,3,7,5,8,2]=>1010101=>4
[3,1,6,4,7,5,8,2]=>1010101=>4
[2,1,6,4,7,5,8,3]=>1010101=>4
[2,1,6,4,7,3,8,5]=>1010101=>4
[3,1,6,4,7,2,8,5]=>1010101=>4
[4,1,6,3,7,2,8,5]=>1010101=>4
[5,1,6,3,7,2,8,4]=>1010101=>4
[5,3,6,1,7,2,8,4]=>1010101=>4
[5,3,6,2,7,1,8,4]=>1010101=>4
[5,3,6,2,7,4,8,1]=>1010101=>4
[5,2,6,3,7,4,8,1]=>1010101=>4
[5,2,6,3,7,1,8,4]=>1010101=>4
[5,2,6,1,7,3,8,4]=>1010101=>4
[4,2,5,1,7,3,8,6]=>1010101=>4
[4,2,6,1,7,3,8,5]=>1010101=>4
[4,2,6,3,7,1,8,5]=>1010101=>4
[4,2,6,3,7,5,8,1]=>1010101=>4
[3,2,6,4,7,5,8,1]=>1010101=>4
[3,2,6,4,7,1,8,5]=>1010101=>4
[3,2,6,1,7,4,8,5]=>1010101=>4
[3,2,5,1,7,4,8,6]=>1010101=>4
[3,2,4,1,7,5,8,6]=>1010101=>4
[3,1,4,2,7,6,8,5]=>1010101=>4
[3,2,5,1,7,6,8,4]=>1010101=>4
[3,2,6,1,7,5,8,4]=>1010101=>4
[3,2,6,5,7,1,8,4]=>1010101=>4
[4,2,6,5,7,3,8,1]=>1010101=>4
[4,2,6,5,7,1,8,3]=>1010101=>4
[4,2,6,1,7,5,8,3]=>1010101=>4
[4,2,5,1,7,6,8,3]=>1010101=>4
[4,1,5,2,7,6,8,3]=>1010101=>4
[3,1,5,2,7,6,8,4]=>1010101=>4
[2,1,5,3,7,6,8,4]=>1010101=>4
[2,1,6,3,7,5,8,4]=>1010101=>4
[3,1,6,2,7,5,8,4]=>1010101=>4
[4,1,6,2,7,5,8,3]=>1010101=>4
[5,1,6,2,7,4,8,3]=>1010101=>4
[5,2,6,1,7,4,8,3]=>1010101=>4
[5,2,6,4,7,1,8,3]=>1010101=>4
[5,2,6,4,7,3,8,1]=>1010101=>4
[5,4,6,2,7,3,8,1]=>1010101=>4
[5,4,6,2,7,1,8,3]=>1010101=>4
[5,4,6,1,7,2,8,3]=>1010101=>4
[5,1,6,4,7,2,8,3]=>1010101=>4
[4,1,6,5,7,2,8,3]=>1010101=>4
[3,1,6,5,7,2,8,4]=>1010101=>4
[2,1,6,5,7,3,8,4]=>1010101=>4
[3,1,6,5,7,4,8,2]=>1010101=>4
[4,1,6,5,7,3,8,2]=>1010101=>4
[5,1,6,4,7,3,8,2]=>1010101=>4
[5,4,6,1,7,3,8,2]=>1010101=>4
[5,4,6,3,7,1,8,2]=>1010101=>4
[8,3,5,2,1,6,4,7]=>1011010=>6
[8,6,3,5,2,4,1,7]=>1101010=>7
[3,7,5,2,4,1,8,6]=>0110101=>3
[8,3,7,5,2,4,6,1]=>1011001=>5
[8,2,4,5,7,3,6,1]=>1000101=>5
[2,4,5,7,3,1,8,6]=>0001101=>1
[8,2,4,6,5,3,1,7]=>1001110=>4
[8,2,5,4,6,1,3,7]=>1010100=>7
[8,6,3,5,1,4,2,7]=>1101010=>7
[8,6,1,4,5,3,2,7]=>1100110=>6
[8,1,5,6,4,3,2,7]=>1001110=>4
[5,7,4,3,2,1,8,6]=>0111101=>2
[8,5,7,4,3,2,6,1]=>1011101=>4
[4,6,8,3,2,7,5,1]=>0011011=>1
[4,7,6,3,2,8,1,5]=>0111010=>3
[1,4,6,7,3,2,8,5]=>0001101=>1
[5,4,7,3,1,8,2,6]=>1011010=>6
[1,7,4,5,3,2,8,6]=>0101101=>2
[3,7,5,1,4,2,8,6]=>0110101=>3
[5,7,4,2,1,3,8,6]=>0111001=>3
[8,5,7,4,2,1,6,3]=>1011101=>4
[8,3,7,5,1,4,6,2]=>1011001=>5
[8,4,1,7,5,3,6,2]=>1101101=>5
[4,6,3,8,7,1,5,2]=>0101101=>2
[1,7,4,8,6,3,5,2]=>0101101=>2
[8,4,7,6,3,5,2,1]=>1011011=>3
[3,6,5,8,7,4,1,2]=>0101110=>2
[3,1,5,8,6,7,4,2]=>1001011=>4
[4,8,1,6,7,3,5,2]=>0100101=>2
[3,6,4,1,8,7,5,2]=>0110111=>1
[8,2,6,1,4,7,5,3]=>1010011=>5
[2,7,6,8,1,4,3,5]=>0101010=>4
[3,7,1,6,4,8,2,5]=>0101010=>4
[1,7,3,5,6,8,2,4]=>0100010=>4
[1,3,6,7,5,8,2,4]=>0001010=>2
[3,7,6,5,8,2,1,4]=>0110110=>3
[3,6,8,5,7,2,4,1]=>0010101=>1
[2,3,5,7,6,8,1,4]=>0001010=>2
[2,1,6,5,7,8,3,4]=>1010010=>6
[4,2,7,6,8,3,1,5]=>1010110=>5
[4,2,6,8,7,3,5,1]=>1001101=>4
[3,8,2,4,6,7,5,1]=>0100011=>3
[3,7,2,6,4,8,1,5]=>0101010=>4
[3,2,6,1,4,7,8,5]=>1010001=>6
[5,3,7,2,1,8,4,6]=>1011010=>6
[4,7,3,2,1,5,8,6]=>0111001=>3
[8,7,6,1,3,4,2,5]=>1110010=>7
[8,5,7,3,2,1,6,4]=>1011101=>4
[8,3,6,7,2,1,5,4]=>1001101=>4
[3,7,8,6,2,1,5,4]=>0011101=>1
[8,7,6,3,5,2,4,1]=>1110101=>6
[2,7,4,8,1,6,5,3]=>0101011=>1
[4,6,8,2,1,7,5,3]=>0011011=>1
[8,4,1,5,7,2,6,3]=>1100101=>6
[8,5,3,7,1,6,2,4]=>1101010=>7
[8,5,7,2,1,3,6,4]=>1011001=>5
[8,2,6,7,1,3,5,4]=>1001001=>5
[8,3,6,1,7,5,2,4]=>1010110=>5
[4,6,1,8,7,2,5,3]=>0101101=>2
[8,1,2,5,6,7,4,3]=>1000011=>5
[8,2,6,5,7,4,1,3]=>1010110=>5
[2,1,7,8,5,6,4,3]=>1001011=>4
[8,2,5,7,6,4,3,1]=>1001111=>3
[2,7,6,8,5,4,1,3]=>0101110=>2
[1,7,2,5,8,6,4,3]=>0100111=>2
[1,7,4,8,2,6,5,3]=>0101011=>1
[3,7,8,1,6,5,2,4]=>0010110=>2
[2,7,8,6,1,3,5,4]=>0011001=>2
[8,7,6,3,5,1,4,2]=>1110101=>6
[8,4,7,6,5,1,3,2]=>1011101=>4
[8,7,1,5,6,4,3,2]=>1100111=>4
[8,1,6,7,5,4,3,2]=>1001111=>3
[6,5,3,1,2,4,8,7]=>1110001=>6
[4,6,3,5,1,2,8,7]=>0101001=>3
[8,5,3,7,2,1,4,6]=>1101100=>7
[6,8,1,4,5,7,3,2]=>0100011=>3
[8,7,2,4,5,1,3,6]=>1100100=>7
[3,6,2,4,5,1,8,7]=>0100101=>2
[2,6,1,4,5,3,8,7]=>0100101=>2
[6,1,2,4,5,3,8,7]=>1000101=>5
[5,6,3,2,1,4,8,7]=>0111001=>3
[5,4,3,6,1,2,8,7]=>1101001=>6
[6,3,1,4,5,2,8,7]=>1100101=>6
[3,1,6,4,5,2,8,7]=>1010101=>4
[8,3,7,4,5,1,2,6]=>1010100=>7
[5,8,7,4,2,6,3,1]=>0111011=>2
[2,8,7,4,1,6,3,5]=>0111010=>3
[8,1,7,4,2,6,3,5]=>1011010=>6
[3,7,8,4,5,1,2,6]=>0010100=>3
[2,1,8,7,5,3,4,6]=>1011100=>5
[2,1,6,8,5,7,3,4]=>1001010=>5
[5,6,3,8,1,7,2,4]=>0101010=>4
[7,6,1,4,5,8,3,2]=>1100011=>5
[3,7,6,4,5,8,2,1]=>0110011=>2
[8,5,7,4,1,6,3,2]=>1011011=>3
[5,1,8,4,7,6,2,3]=>1010110=>5
[2,5,8,4,7,6,1,3]=>0010110=>2
[2,4,8,3,5,6,7,1]=>0010001=>2
[4,1,8,3,5,6,7,2]=>1010001=>6
[3,8,4,2,5,6,7,1]=>0110001=>4
[8,4,1,3,5,6,7,2]=>1100001=>6
[7,5,8,4,3,6,1,2]=>1011010=>6
[6,5,3,8,4,1,7,2]=>1101101=>5
[2,1,5,8,4,6,7,3]=>1001001=>5
[2,1,4,8,3,6,7,5]=>1001001=>5
[6,4,3,8,2,1,7,5]=>1101101=>5
[7,3,8,4,2,6,1,5]=>1011010=>6
[8,3,1,2,5,6,7,4]=>1100001=>6
[3,1,8,2,5,6,7,4]=>1010001=>6
[2,3,8,1,5,6,7,4]=>0010001=>2
[4,3,8,2,5,6,7,1]=>1010001=>6
[4,8,2,3,5,6,7,1]=>0100001=>4
[3,8,2,1,5,6,7,4]=>0110001=>4
[2,8,1,3,5,6,7,4]=>0100001=>4
[8,1,2,3,5,6,7,4]=>1000001=>6
[7,8,2,4,3,6,1,5]=>0101010=>4
[6,8,3,2,4,1,7,5]=>0110101=>3
[2,1,8,3,4,6,7,5]=>1010001=>6
[2,1,7,8,5,4,3,6]=>1001110=>4
[5,7,3,8,1,4,2,6]=>0101010=>4
[7,1,8,4,5,3,2,6]=>1010110=>5
[2,7,8,4,5,3,1,6]=>0010110=>2
[8,7,1,4,3,6,2,5]=>1101010=>7
[3,8,7,4,2,6,1,5]=>0111010=>3
[5,7,8,4,3,6,2,1]=>0011011=>1
[5,6,3,8,4,2,7,1]=>0101101=>2
[4,8,3,6,2,1,7,5]=>0101101=>2
[8,6,3,1,4,2,7,5]=>1110101=>6
[7,5,3,8,2,4,1,6]=>1101010=>7
[2,4,3,1,8,5,7,6]=>0110101=>3
[4,1,3,2,6,8,7,5]=>1010011=>5
[7,5,3,6,2,8,1,4]=>1101010=>7
[8,6,3,5,1,2,7,4]=>1101001=>6
[5,8,3,2,6,1,7,4]=>0110101=>3
[4,5,3,8,6,2,7,1]=>0101101=>2
[3,5,8,4,7,6,2,1]=>0010111=>1
[5,8,2,4,7,6,1,3]=>0100110=>3
[8,7,5,4,1,6,2,3]=>1111010=>7
[2,7,6,4,5,8,1,3]=>0110010=>4
[7,1,6,4,5,8,2,3]=>1010010=>6
[5,7,3,6,1,8,2,4]=>0101010=>4
[2,1,7,6,5,8,3,4]=>1011010=>6
[2,1,8,5,3,6,7,4]=>1011001=>5
[6,8,3,5,2,1,7,4]=>0101101=>2
[7,8,5,4,2,6,1,3]=>0111010=>3
[8,1,4,2,5,6,7,3]=>1010001=>6
[2,8,4,1,5,6,7,3]=>0110001=>4
[4,8,1,2,5,6,7,3]=>0100001=>4
[3,4,8,1,5,6,7,2]=>0010001=>2
[3,4,2,8,5,6,7,1]=>0101001=>3
[2,4,1,8,5,6,7,3]=>0101001=>3
[4,1,2,8,5,6,7,3]=>1001001=>5
[8,4,2,1,5,6,7,3]=>1110001=>6
[7,5,2,4,8,6,1,3]=>1100110=>6
[6,5,3,2,8,1,7,4]=>1110101=>6
[2,1,5,3,8,6,7,4]=>1010101=>4
[6,4,3,5,8,1,7,2]=>1100101=>6
[7,3,5,4,8,6,1,2]=>1010110=>5
[8,3,4,1,5,6,7,2]=>1010001=>6
[4,3,1,8,5,6,7,2]=>1101001=>6
[3,1,4,8,5,6,7,2]=>1001001=>5
[6,5,3,7,2,8,4,1]=>1101011=>5
[6,3,7,4,5,8,2,1]=>1010011=>5
[6,7,2,4,5,8,3,1]=>0100011=>3
[5,1,7,4,8,6,3,2]=>1010111=>3
[2,5,7,4,8,6,3,1]=>0010111=>1
[5,6,3,7,1,8,4,2]=>0101011=>1
[3,8,7,4,5,2,1,6]=>0110110=>3
[3,7,5,4,8,6,2,1]=>0110111=>1
[5,7,1,4,8,6,2,3]=>0100110=>3
[5,6,3,1,8,2,7,4]=>0110101=>3
[4,6,3,5,8,2,7,1]=>0100101=>2
[4,6,3,8,1,2,7,5]=>0101001=>3
[3,7,8,4,1,6,2,5]=>0011010=>2
[3,2,5,1,6,8,4,7]=>1010010=>6
[3,6,2,5,4,8,1,7]=>0101010=>4
[3,5,2,4,7,1,8,6]=>0100101=>2
[3,5,8,2,4,7,6,1]=>0010011=>1
[4,2,5,8,3,7,6,1]=>1001011=>4
[4,2,6,5,3,8,1,7]=>1011010=>6
[5,4,2,1,6,8,3,7]=>1110010=>7
[6,3,5,1,4,8,2,7]=>1010010=>6
[4,6,1,5,3,8,2,7]=>0101010=>4
[5,1,6,4,3,8,2,7]=>1011010=>6
[5,4,3,2,7,1,8,6]=>1110101=>6
[5,4,3,8,2,7,6,1]=>1101011=>5
[4,3,6,2,8,7,5,1]=>1010111=>3
[4,3,7,6,2,1,8,5]=>1011101=>4
[6,4,3,1,7,2,8,5]=>1110101=>6
[7,5,4,3,1,8,2,6]=>1111010=>7
[1,4,7,5,8,3,2,6]=>0010110=>2
[7,1,3,5,8,4,2,6]=>1000110=>5
[7,2,5,8,4,1,3,6]=>1001100=>6
[2,8,5,7,4,6,1,3]=>0101010=>4
[3,5,8,7,1,4,6,2]=>0011001=>2
[1,4,5,8,7,3,6,2]=>0001101=>1
[1,5,4,8,7,3,6,2]=>0101101=>2
[6,4,3,8,1,7,5,2]=>1101011=>5
[4,3,7,1,8,6,5,2]=>1010111=>3
[4,8,3,7,6,5,2,1]=>0101111=>1
[5,3,8,7,6,4,2,1]=>1011111=>2
[7,5,3,1,8,6,4,2]=>1110111=>4
[1,8,6,5,3,7,4,2]=>0111011=>2
[1,5,8,6,3,7,4,2]=>0011011=>1
[4,6,1,8,7,3,5,2]=>0101101=>2
[6,8,7,3,1,4,5,2]=>0111001=>3
[6,2,8,7,4,5,1,3]=>1011010=>6
[7,6,2,8,4,1,3,5]=>1101100=>7
[7,3,1,6,8,4,2,5]=>1100110=>6
[1,7,6,4,8,3,2,5]=>0110110=>3
[5,7,1,6,3,2,8,4]=>0101101=>2
[6,1,7,5,3,2,8,4]=>1011101=>4
[7,6,5,3,2,1,8,4]=>1111101=>6
[6,5,3,2,8,7,4,1]=>1110111=>4
[5,2,6,3,8,7,4,1]=>1010111=>3
[5,2,7,6,3,1,8,4]=>1011101=>4
[6,5,2,1,7,3,8,4]=>1110101=>6
[5,2,7,4,1,8,3,6]=>1011010=>6
[4,7,2,6,3,1,8,5]=>0101101=>2
[2,4,8,6,3,7,5,1]=>0011011=>1
[3,8,6,2,4,7,5,1]=>0110011=>2
[7,3,6,2,4,1,8,5]=>1010101=>4
[3,6,7,2,1,4,8,5]=>0011001=>2
[4,3,7,8,2,1,5,6]=>1001100=>6
[8,3,7,1,4,6,2,5]=>1010010=>6
[3,8,2,5,7,1,6,4]=>0100101=>2
[8,3,6,2,7,1,5,4]=>1010101=>4
[7,8,3,6,2,1,5,4]=>0101101=>2
[8,7,3,6,2,5,4,1]=>1101011=>5
[4,7,8,2,1,6,5,3]=>0011011=>1
[4,2,6,8,1,7,5,3]=>1001011=>4
[5,4,8,2,7,1,6,3]=>1010101=>4
[4,8,1,5,7,2,6,3]=>0100101=>2
[5,8,3,7,1,6,2,4]=>0101010=>4
[5,8,7,2,6,1,3,4]=>0110100=>4
[8,6,2,7,5,1,3,4]=>1101100=>7
[3,6,8,1,7,5,2,4]=>0010110=>2
[5,1,6,8,2,7,4,3]=>1001011=>4
[6,5,2,8,1,7,4,3]=>1101011=>5
[5,2,7,1,8,6,4,3]=>1010111=>3
[5,8,2,7,6,4,3,1]=>0101111=>1
[6,2,8,7,5,4,3,1]=>1011111=>2
[7,6,2,1,8,5,4,3]=>1110111=>4
[6,1,7,2,8,5,4,3]=>1010111=>3
[7,5,1,8,2,6,4,3]=>1101011=>5
[4,7,1,8,6,2,5,3]=>0101101=>2
[7,8,3,1,6,5,2,4]=>0110110=>3
[8,7,4,6,1,5,3,2]=>1101011=>5
[8,5,7,1,6,4,3,2]=>1010111=>3
[6,8,1,7,5,4,3,2]=>0101111=>1
[7,1,8,6,5,4,3,2]=>1011111=>2
[5,4,2,3,7,6,1,8]=>1100110=>6
[6,4,2,7,3,5,1,8]=>1101010=>7
[7,4,2,6,3,5,1,8]=>1101010=>7
[8,4,2,6,3,1,5,7]=>1101100=>7
[3,2,7,6,4,5,1,8]=>1011010=>6
[4,7,2,6,3,5,1,8]=>0101010=>4
[5,7,6,2,3,4,1,8]=>0110010=>4
[1,6,5,2,3,8,4,7]=>0110010=>4
[1,7,5,2,8,3,4,6]=>0110100=>4
[6,8,5,2,3,1,4,7]=>0110100=>4
[5,8,6,2,3,1,4,7]=>0110100=>4
[4,8,2,6,3,1,5,7]=>0101100=>3
[3,2,8,6,4,1,5,7]=>1011100=>5
[3,2,1,6,4,8,5,7]=>1101010=>7
[7,1,5,2,8,3,4,6]=>1010100=>7
[1,8,5,2,7,3,4,6]=>0110100=>4
[1,8,6,7,2,3,4,5]=>0101000=>5
[8,1,6,7,2,3,4,5]=>1001000=>7
[7,1,6,8,2,3,4,5]=>1001000=>7
[3,2,1,7,8,4,5,6]=>1100100=>7
[3,2,8,7,1,4,5,6]=>1011000=>6
[5,8,7,2,1,3,4,6]=>0111000=>4
[1,7,6,8,2,3,4,5]=>0101000=>5
[6,5,8,2,3,1,4,7]=>1010100=>7
[8,5,7,2,1,3,4,6]=>1011000=>6
[6,4,2,8,3,1,5,7]=>1101100=>7
[5,4,2,3,8,1,6,7]=>1100100=>7
[3,2,5,4,1,8,6,7]=>1011010=>6
[4,5,2,3,1,8,6,7]=>0101010=>4
[5,4,2,3,1,8,6,7]=>1101010=>7
[6,4,2,1,3,8,5,7]=>1110010=>7
[7,4,2,1,8,3,5,6]=>1110100=>7
[8,4,2,1,7,3,5,6]=>1110100=>7
[1,4,2,8,7,3,5,6]=>0101100=>3
[1,5,8,2,7,3,4,6]=>0010100=>3
[8,5,1,2,7,3,4,6]=>1100100=>7
[7,5,1,2,8,3,4,6]=>1100100=>7
[6,5,1,2,3,8,4,7]=>1100010=>7
[4,6,2,1,3,8,5,7]=>0110010=>4
[3,2,6,1,4,8,5,7]=>1010010=>6
[3,2,7,1,8,4,5,6]=>1010100=>7
[4,7,2,1,8,3,5,6]=>0110100=>4
[7,6,1,8,2,3,4,5]=>1101000=>7
[8,6,1,7,2,3,4,5]=>1101000=>7
[1,6,8,7,2,3,4,5]=>0011000=>4
[1,7,8,6,2,3,4,5]=>0011000=>4
[7,8,1,6,2,3,4,5]=>0101000=>5
[6,8,1,7,2,3,4,5]=>0101000=>5
[4,8,2,1,7,3,5,6]=>0110100=>4
[3,2,8,1,7,4,5,6]=>1010100=>7
[3,2,1,8,7,4,5,6]=>1101100=>7
[5,1,8,2,7,3,4,6]=>1010100=>7
[6,1,8,7,2,3,4,5]=>1011000=>6
[8,1,7,6,2,3,4,5]=>1011000=>6
[1,8,7,6,2,3,4,5]=>0111000=>4
[6,3,5,1,2,4,8,7]=>1010001=>6
[4,3,5,6,1,2,8,7]=>1001001=>5
[8,3,7,5,2,1,4,6]=>1011100=>5
[6,3,7,5,1,8,4,2]=>1011011=>3
[6,5,2,7,1,8,3,4]=>1101010=>7
[8,5,2,7,4,1,3,6]=>1101100=>7
[2,6,1,5,4,3,8,7]=>0101101=>2
[6,4,3,5,1,2,8,7]=>1101001=>6
[5,3,1,4,6,2,8,7]=>1100101=>6
[3,1,4,6,5,2,8,7]=>1001101=>4
[5,7,4,6,2,8,3,1]=>0101011=>1
[8,1,4,7,2,6,3,5]=>1001010=>5
[3,4,7,8,5,2,1,6]=>0001110=>2
[2,1,8,5,7,3,4,6]=>1010100=>7
[8,6,3,5,1,7,4,2]=>1101011=>5
[5,8,2,4,6,7,3,1]=>0100011=>3
[3,4,8,6,5,7,1,2]=>0011010=>2
[7,5,4,8,1,6,3,2]=>1101011=>5
[5,1,4,6,8,2,7,3]=>1000101=>5
[2,5,4,6,7,1,8,3]=>0100101=>2
[2,4,6,3,7,5,8,1]=>0010101=>1
[4,1,6,3,8,5,7,2]=>1010101=>4
[3,7,4,2,8,6,5,1]=>0110111=>1
[7,4,1,3,5,8,6,2]=>1100011=>5
[6,5,8,4,1,7,3,2]=>1011011=>3
[8,5,3,7,4,1,6,2]=>1101101=>5
[2,1,4,8,3,7,6,5]=>1001011=>4
[7,4,3,8,2,1,6,5]=>1101101=>5
[6,3,7,4,1,8,2,5]=>1011010=>6
[8,3,1,2,5,7,6,4]=>1100011=>5
[3,1,8,2,7,6,5,4]=>1010111=>3
[2,3,8,1,6,7,5,4]=>0010011=>1
[4,3,7,2,6,8,5,1]=>1010011=>5
[4,7,2,3,8,5,6,1]=>0100101=>2
[3,8,2,1,7,5,6,4]=>0110101=>3
[2,8,1,3,6,5,7,4]=>0100101=>2
[2,7,8,5,4,3,1,6]=>0011110=>2
[8,7,1,6,3,4,2,5]=>1101010=>7
[3,8,6,7,2,4,1,5]=>0101010=>4
[5,3,8,7,4,2,6,1]=>1011101=>4
[4,3,8,7,2,1,6,5]=>1011101=>4
[8,3,6,1,4,2,7,5]=>1010101=>4
[7,3,5,8,2,4,1,6]=>1001010=>5
[2,3,4,1,8,5,7,6]=>0010101=>1
[4,1,3,2,6,7,8,5]=>1010001=>6
[8,3,5,6,2,7,1,4]=>1001010=>5
[5,3,6,1,8,7,2,4]=>1010110=>5
[5,6,2,8,7,4,1,3]=>0101110=>2
[7,8,5,6,1,4,2,3]=>0101010=>4
[2,8,6,5,4,7,1,3]=>0111010=>3
[8,1,6,4,5,7,2,3]=>1010010=>6
[5,8,3,6,1,7,2,4]=>0101010=>4
[2,1,8,6,5,7,3,4]=>1011010=>6
[2,1,7,5,3,6,8,4]=>1011001=>5
[6,7,3,5,2,1,8,4]=>0101101=>2
[7,1,4,2,5,6,8,3]=>1010001=>6
[2,7,4,1,6,5,8,3]=>0110101=>3
[4,6,1,2,8,7,3,5]=>0100110=>3
[2,4,1,5,8,7,6,3]=>0100111=>2
[4,1,2,5,8,6,7,3]=>1000101=>5
[6,4,2,1,5,8,7,3]=>1110011=>5
[8,5,2,4,6,1,7,3]=>1100101=>6
[7,5,3,2,6,8,1,4]=>1110010=>7
[2,1,5,3,6,8,7,4]=>1010011=>5
[7,3,5,4,6,1,8,2]=>1010101=>4
[6,3,4,1,5,7,8,2]=>1010001=>6
[4,3,1,5,7,6,8,2]=>1100101=>6
[3,1,4,5,6,8,7,2]=>1000011=>5
[4,5,2,6,3,1,8,7]=>0101101=>2
[6,5,2,1,4,3,8,7]=>1110101=>6
[6,5,2,7,4,8,3,1]=>1101011=>5
[8,5,2,7,4,1,6,3]=>1101101=>5
[8,3,7,5,2,1,6,4]=>1011101=>4
[6,3,7,5,2,8,4,1]=>1011011=>3
[3,1,6,5,4,2,8,7]=>1011101=>4
[5,6,3,2,4,1,8,7]=>0110101=>3
[3,6,2,4,1,5,8,7]=>0101001=>3
[2,6,1,3,5,4,8,7]=>0100101=>2
[6,7,2,3,4,8,5,1]=>0100011=>3
[8,7,2,3,4,1,6,5]=>1100101=>6
[5,1,7,3,8,4,6,2]=>1010101=>4
[2,5,7,3,8,6,4,1]=>0010111=>1
[7,6,1,3,5,8,4,2]=>1100011=>5
[3,6,7,4,1,8,5,2]=>0011011=>1
[5,6,3,7,4,8,1,2]=>0101010=>4
[2,1,6,7,4,8,5,3]=>1001011=>4
[2,1,8,7,4,3,6,5]=>1011101=>4
[5,8,3,7,4,2,6,1]=>0101101=>2
[3,8,7,4,1,2,6,5]=>0111001=>3
[7,8,1,3,5,2,6,4]=>0100101=>2
[5,8,7,3,2,6,1,4]=>0111010=>3
[2,8,6,3,1,5,7,4]=>0111001=>3
[8,1,6,3,2,5,4,7]=>1011010=>6
[2,8,4,1,6,3,7,5]=>0110101=>3
[4,8,1,2,7,6,3,5]=>0100110=>3
[3,8,4,2,5,7,1,6]=>0110010=>4
[6,8,3,5,2,7,4,1]=>0101011=>1
[2,1,5,3,8,7,6,4]=>1010111=>3
[6,5,3,2,8,7,1,4]=>1110110=>7
[7,5,2,4,8,1,6,3]=>1100101=>6
[3,4,2,8,5,7,6,1]=>0101011=>1
[2,4,1,8,7,6,5,3]=>0101111=>1
[8,4,2,1,7,5,3,6]=>1110110=>7
[4,3,1,8,6,7,5,2]=>1101011=>5
[3,1,4,8,6,5,7,2]=>1001101=>4
[7,1,6,5,4,8,2,3]=>1011010=>6
[3,7,5,6,8,4,2,1]=>0100111=>2
[5,7,1,6,8,2,4,3]=>0100101=>2
[8,6,2,5,1,7,4,3]=>1101011=>5
[5,6,2,1,8,7,3,4]=>0110110=>3
[4,6,2,5,8,3,7,1]=>0100101=>2
[7,5,2,6,3,8,1,4]=>1101010=>7
[4,1,2,3,6,8,7,5]=>1000011=>5
[2,4,3,1,8,5,6,7]=>0110100=>4
[7,5,2,8,3,4,6,1]=>1101001=>6
[5,6,2,8,4,3,1,7]=>0101110=>2
[4,7,2,8,1,5,3,6]=>0101010=>4
[8,7,2,1,4,5,6,3]=>1110001=>6
[3,6,8,7,1,5,4,2]=>0011011=>1
[5,7,8,6,3,4,1,2]=>0011010=>2
[7,1,8,5,4,3,6,2]=>1011101=>4
[2,7,8,4,5,3,6,1]=>0010101=>1
[5,7,3,8,1,4,6,2]=>0101001=>3
[2,1,7,8,5,4,6,3]=>1001101=>4
[2,1,5,8,4,6,3,7]=>1001010=>5
[6,5,3,8,4,1,2,7]=>1101100=>7
[7,5,8,4,3,6,2,1]=>1011011=>3
[2,4,8,3,5,6,1,7]=>0010010=>3
[4,1,8,3,6,5,2,7]=>1010110=>5
[3,4,8,1,7,2,5,6]=>0010100=>3
[8,4,1,3,7,2,6,5]=>1100101=>6
[3,1,8,2,4,7,6,5]=>1010011=>5
[2,3,8,1,4,6,7,5]=>0010001=>2
[4,3,8,2,5,1,7,6]=>1010101=>4
[6,3,8,4,2,5,7,1]=>1011001=>5
[7,4,3,8,2,5,1,6]=>1101010=>7
[2,1,4,8,3,5,7,6]=>1001001=>5
[6,8,2,4,3,5,1,7]=>0101010=>4
[4,8,2,3,5,1,6,7]=>0100100=>5
[3,8,2,1,4,6,5,7]=>0110010=>4
[2,8,1,3,4,5,7,6]=>0100001=>4
[2,8,4,1,6,5,3,7]=>0110110=>3
[2,8,4,1,6,5,7,3]=>0110101=>3
[2,8,7,6,1,4,3,5]=>0111010=>3
[2,8,5,6,7,4,3,1]=>0100111=>2
[7,5,8,6,1,4,2,3]=>1011010=>6
[3,5,7,6,1,4,2,8]=>0011010=>2
[3,5,7,2,4,1,6,8]=>0010100=>3
[7,5,8,2,4,1,6,3]=>1010101=>4
[2,8,5,3,4,7,6,1]=>0110011=>2
[2,8,5,3,4,1,7,6]=>0110101=>3
[2,8,5,3,4,1,6,7]=>0110100=>4
[2,8,7,6,1,4,5,3]=>0111001=>3
[2,8,5,3,6,1,7,4]=>0110101=>3
[2,8,5,6,7,4,1,3]=>0100110=>3
[2,8,5,3,4,7,1,6]=>0110010=>4
[2,8,5,3,4,6,1,7]=>0110010=>4
[2,8,5,3,4,6,7,1]=>0110001=>4
[3,5,7,2,4,6,1,8]=>0010010=>3
[6,5,2,7,3,1,4,8]=>1101100=>7
[6,5,2,8,3,1,7,4]=>1101101=>5
[6,5,2,8,3,1,4,7]=>1101100=>7
[7,5,8,2,4,6,3,1]=>1010011=>5
[7,5,8,6,1,4,3,2]=>1011011=>3
[6,5,8,2,1,3,7,4]=>1011001=>5
[3,5,6,2,1,8,7,4]=>0011011=>1
[3,5,7,6,1,4,8,2]=>0011001=>2
[3,5,7,2,4,1,8,6]=>0010101=>1
[3,5,7,2,4,6,8,1]=>0010001=>2
[6,5,2,7,3,1,8,4]=>1101101=>5
[4,5,2,6,3,1,7,8]=>0101100=>3
[4,1,2,3,7,6,8,5]=>1000101=>5
[6,5,2,7,3,4,8,1]=>1101001=>6
[5,1,6,7,4,3,8,2]=>1001101=>4
[5,1,2,6,4,8,7,3]=>1001011=>4
[5,1,2,8,6,4,7,3]=>1001101=>4
[5,1,6,8,7,3,4,2]=>1001101=>4
[6,5,2,8,3,7,4,1]=>1101011=>5
[4,1,2,3,8,7,5,6]=>1000110=>5
[4,1,2,3,8,6,5,7]=>1000110=>5
[4,1,2,3,8,6,7,5]=>1000101=>5
[4,1,2,3,7,6,5,8]=>1000110=>5
[4,1,2,3,8,5,7,6]=>1000101=>5
[7,1,6,8,4,3,5,2]=>1001101=>4
[6,1,2,8,4,5,7,3]=>1001001=>5
[5,6,8,2,3,1,7,4]=>0010101=>1
[6,5,8,2,4,3,1,7]=>1010110=>5
[6,5,8,2,4,3,7,1]=>1010101=>4
[7,5,2,8,3,4,1,6]=>1101010=>7
[6,5,2,8,3,7,1,4]=>1101010=>7
[6,5,2,7,3,4,1,8]=>1101010=>7
[5,1,6,7,4,3,2,8]=>1001110=>4
[5,1,6,8,7,3,2,4]=>1001110=>4
[7,1,6,8,4,3,2,5]=>1001110=>4
[5,7,8,6,3,4,2,1]=>0011011=>1
[4,1,8,3,6,5,7,2]=>1010101=>4
[4,1,8,3,6,2,7,5]=>1010101=>4
[3,1,4,8,6,2,7,5]=>1001101=>4
[3,1,4,8,6,5,2,7]=>1001110=>4
[7,1,6,5,8,3,2,4]=>1010110=>5
[4,1,6,7,8,3,2,5]=>1000110=>5
[4,1,6,5,7,3,2,8]=>1010110=>5
[4,5,2,6,3,7,1,8]=>0101010=>4
[4,5,2,7,3,8,1,6]=>0101010=>4
[3,5,6,2,4,8,7,1]=>0010011=>1
[3,5,6,2,4,8,1,7]=>0010010=>3
[3,7,5,6,8,4,1,2]=>0100110=>3
[3,6,5,2,8,1,7,4]=>0110101=>3
[6,1,2,5,8,4,7,3]=>1000101=>5
[7,1,6,5,8,3,4,2]=>1010101=>4
[7,5,2,6,3,8,4,1]=>1101011=>5
[4,1,2,3,5,8,7,6]=>1000011=>5
[4,1,2,3,7,8,6,5]=>1000011=>5
[4,5,2,7,3,8,6,1]=>0101011=>1
[4,1,6,7,8,3,5,2]=>1000101=>5
[4,1,2,6,8,5,7,3]=>1000101=>5
[4,1,2,5,6,8,7,3]=>1000011=>5
[4,5,2,6,3,7,8,1]=>0101001=>3
[7,8,5,6,1,4,3,2]=>0101011=>1
[7,8,4,2,1,5,3,6]=>0111010=>3
[7,8,2,1,6,5,3,4]=>0110110=>3
[6,4,1,2,5,7,3,8]=>1100010=>7
[2,4,8,1,5,7,3,6]=>0010010=>3
[4,3,8,1,7,2,5,6]=>1010100=>7
[6,3,1,4,7,2,5,8]=>1100100=>7
[7,8,3,4,5,1,6,2]=>0100101=>2
[7,8,3,5,4,2,1,6]=>0101110=>2
[7,8,4,1,2,3,6,5]=>0110001=>4
[7,8,3,6,5,4,1,2]=>0101110=>2
[7,8,2,1,5,3,4,6]=>0110100=>4
[7,8,2,6,4,1,3,5]=>0101100=>3
[7,8,2,5,6,4,1,3]=>0100110=>3
[7,8,1,6,5,4,3,2]=>0101111=>1
[6,2,1,7,5,4,3,8]=>1101110=>6
[2,1,8,7,5,4,3,6]=>1011110=>4
[1,3,8,2,6,4,7,5]=>0010101=>1
[5,3,7,1,6,4,8,2]=>1010101=>4
[5,3,6,2,7,4,1,8]=>1010110=>5
[6,1,2,5,8,7,4,3]=>1000111=>4
[6,3,1,8,4,2,7,5]=>1101101=>5
[6,4,2,1,5,3,8,7]=>1110101=>6
[6,4,3,7,5,8,1,2]=>1101010=>7
[4,3,8,7,5,6,1,2]=>1011010=>6
[2,4,7,1,5,3,6,8]=>0010100=>3
[1,3,7,6,4,2,8,5]=>0011101=>1
[2,1,7,5,6,8,4,3]=>1010011=>5
[3,7,2,8,6,4,1,5]=>0101110=>2
[3,8,1,7,6,4,5,2]=>0101101=>2
[1,8,5,7,3,6,4,2]=>0101011=>1
[2,7,5,8,3,6,1,4]=>0101010=>4
[1,5,6,8,2,4,7,3]=>0001001=>1
[2,6,8,5,3,1,4,7]=>0011100=>3
[2,6,1,4,7,3,5,8]=>0100100=>5
[5,6,7,3,8,4,1,2]=>0010110=>2
[5,2,8,1,4,7,3,6]=>1010010=>6
[4,6,7,5,2,1,3,8]=>0011100=>3
[4,5,6,7,2,8,1,3]=>0001010=>2
[4,5,7,6,1,8,3,2]=>0011011=>1
[1,5,8,6,2,7,3,4]=>0011010=>2
[1,6,5,8,3,2,7,4]=>0101101=>2
[4,6,5,7,1,2,8,3]=>0101001=>3
[4,7,5,6,3,1,8,2]=>0101101=>2
[5,1,6,3,4,2,8,7]=>1010101=>4
[5,7,1,4,2,3,8,6]=>0101001=>3
[5,7,6,4,3,8,1,2]=>0111010=>3
[6,3,4,5,8,7,1,2]=>1000110=>5
[6,2,4,1,8,3,7,5]=>1010101=>4
[6,2,3,5,4,8,1,7]=>1001010=>5
[6,1,3,4,5,8,7,2]=>1000011=>5
[5,1,4,2,7,6,8,3]=>1010101=>4
[1,6,2,4,7,8,3,5]=>0100010=>4
[5,7,2,4,1,6,3,8]=>0101010=>4
[6,1,4,2,8,5,3,7]=>1010110=>5
[6,7,5,8,1,4,3,2]=>0101011=>1
[5,8,7,6,3,4,1,2]=>0111010=>3
[5,8,7,6,2,3,1,4]=>0111010=>3
[4,1,7,2,6,5,3,8]=>1010110=>5
[4,8,2,1,5,6,3,7]=>0110010=>4
[4,2,7,8,1,6,3,5]=>1001010=>5
[2,1,8,7,6,5,3,4]=>1011110=>4
[3,1,4,7,8,2,6,5]=>1000101=>5
[3,1,7,4,5,6,8,2]=>1010001=>6
[4,2,7,1,6,3,8,5]=>1010101=>4
[4,3,7,5,6,8,1,2]=>1010010=>6
[4,8,6,3,5,7,1,2]=>0110010=>4
[4,8,1,2,5,3,7,6]=>0100101=>2
[3,8,6,5,2,4,1,7]=>0111010=>3
[3,8,5,6,1,4,7,2]=>0101001=>3
[5,3,7,8,2,1,6,4]=>1001101=>4
[5,2,8,7,1,6,4,3]=>1011011=>3
[1,6,8,7,5,2,4,3]=>0011101=>1
[3,6,7,8,5,1,4,2]=>0001101=>1
[3,7,6,8,5,2,1,4]=>0101110=>2
[3,7,8,5,1,2,4,6]=>0011000=>4
[3,7,1,6,4,2,5,8]=>0101100=>3
[4,1,8,6,2,3,5,7]=>1011000=>6
[4,7,8,6,3,5,1,2]=>0011010=>2
[3,8,7,6,5,4,1,2]=>0111110=>2
[2,1,7,6,5,3,4,8]=>1011100=>5
[2,8,1,6,4,5,3,7]=>0101010=>4
[2,8,7,5,1,4,3,6]=>0111010=>3
[2,8,6,7,5,1,3,4]=>0101100=>3
[2,7,8,6,5,4,1,3]=>0011110=>2
[6,4,2,7,1,3,8,5]=>1101001=>6
[7,4,2,5,1,3,8,6]=>1101001=>6
[7,5,3,6,1,8,2,4]=>1101010=>7
[8,5,3,6,1,7,2,4]=>1101010=>7
[7,3,6,2,4,8,1,5]=>1010010=>6
[4,3,7,1,2,5,8,6]=>1010001=>6
[3,6,2,7,1,4,8,5]=>0101001=>3
[5,3,6,7,1,2,8,4]=>1001001=>5
[6,3,7,4,1,2,8,5]=>1011001=>5
[4,7,1,5,2,3,8,6]=>0101001=>3
[3,7,5,1,2,4,8,6]=>0110001=>4
[7,6,4,2,3,8,1,5]=>1110010=>7
[8,6,4,2,3,7,1,5]=>1110010=>7
[4,7,6,3,8,1,2,5]=>0110100=>4
[5,7,4,2,3,8,1,6]=>0110010=>4
[3,7,6,1,4,8,2,5]=>0110010=>4
[6,4,7,5,2,8,1,3]=>1011010=>6
[7,4,8,5,2,6,1,3]=>1011010=>6
[5,8,2,6,3,7,1,4]=>0101010=>4
[3,8,6,2,4,7,1,5]=>0110010=>4
[3,8,5,7,1,2,4,6]=>0101000=>5
[2,8,5,7,1,3,4,6]=>0101000=>5
[4,8,6,2,7,1,3,5]=>0110100=>4
[2,6,5,8,1,3,4,7]=>0101000=>5
[3,6,5,8,1,2,4,7]=>0101000=>5
[2,5,7,4,8,1,3,6]=>0010100=>3
[5,4,6,7,2,8,1,3]=>1001010=>5
[3,5,7,1,4,8,2,6]=>0010010=>3
[5,3,7,2,4,8,1,6]=>1010010=>6
[5,4,7,3,8,1,2,6]=>1010100=>7
[7,4,6,3,8,1,2,5]=>1010100=>7
[8,4,6,3,7,1,2,5]=>1010100=>7
[8,4,1,6,7,2,3,5]=>1100100=>7
[7,4,1,6,8,2,3,5]=>1100100=>7
[6,5,3,7,1,8,2,4]=>1101010=>7
[6,5,1,2,7,8,3,4]=>1100010=>7
[5,3,6,4,7,8,1,2]=>1010010=>6
[6,3,7,4,8,5,1,2]=>1010110=>5
[4,7,1,5,8,6,2,3]=>0100110=>3
[7,5,1,2,8,6,3,4]=>1100110=>6
[7,5,3,8,1,6,2,4]=>1101010=>7
[7,6,1,8,5,2,3,4]=>1101100=>7
[8,6,1,7,5,2,3,4]=>1101100=>7
[5,7,2,8,1,6,3,4]=>0101010=>4
[6,3,7,8,5,1,2,4]=>1001100=>6
[3,6,8,2,7,1,4,5]=>0010100=>3
[2,4,8,7,1,3,5,6]=>0011000=>4
[4,3,8,7,1,2,5,6]=>1011000=>6
[5,3,8,7,1,2,4,6]=>1011000=>6
[8,3,7,6,1,2,4,5]=>1011000=>6
[8,4,7,6,1,2,3,5]=>1011000=>6
[5,4,8,7,1,2,3,6]=>1011000=>6
[3,5,8,7,1,2,4,6]=>0011000=>4
[2,5,8,7,1,3,4,6]=>0011000=>4
[4,6,8,2,7,1,3,5]=>0010100=>3
[6,8,4,7,5,1,2,3]=>0101100=>3
[5,8,7,1,6,2,3,4]=>0110100=>4
[2,8,7,6,1,3,4,5]=>0111000=>4
[3,8,7,6,1,2,4,5]=>0111000=>4
[4,8,7,6,1,2,3,5]=>0111000=>4
[5,6,3,1,4,2,8,7]=>0110101=>3
[7,5,3,8,2,1,6,4]=>1101101=>5
[3,8,7,4,5,1,6,2]=>0110101=>3
[6,7,1,4,5,8,2,3]=>0100010=>4
[2,1,7,8,5,3,6,4]=>1001101=>4
[5,7,3,8,1,2,6,4]=>0101001=>3
[8,7,1,4,5,3,2,6]=>1100110=>6
[2,7,8,4,1,6,5,3]=>0011011=>1
[7,1,8,4,2,6,5,3]=>1011011=>3
[7,5,1,4,8,6,3,2]=>1100111=>4
[6,5,3,1,8,4,7,2]=>1110101=>6
[6,4,3,8,1,5,7,2]=>1101001=>6
[8,6,3,1,2,5,7,4]=>1110001=>6
[8,7,1,4,2,6,5,3]=>1101011=>5
[7,3,8,4,1,6,5,2]=>1011011=>3
[2,3,4,5,6,7,8,1,9]=>00000010=>2
[2,3,4,5,6,8,9,1,7]=>00000010=>2
[2,3,4,5,7,8,9,1,6]=>00000010=>2
[2,3,4,6,7,8,9,1,5]=>00000010=>2
[2,3,5,6,7,8,9,1,4]=>00000010=>2
[2,4,5,6,7,8,9,1,3]=>00000010=>2
[3,4,5,6,7,8,9,1,2]=>00000010=>2
[2,3,4,5,6,7,8,9,10,1]=>000000001=>1
[2,3,4,5,6,7,8,9,1,10]=>000000010=>2
[2,3,4,5,6,7,1,8,9]=>00000100=>3
[2,3,4,5,6,7,8,10,1,9]=>000000010=>2
[2,3,4,5,6,1,9,7,8]=>00001010=>2
[2,3,4,5,6,7,9,10,1,8]=>000000010=>2
[2,3,4,5,1,8,9,6,7]=>00010010=>2
[2,3,4,5,6,8,9,10,1,7]=>000000010=>2
[2,3,4,1,7,8,9,5,6]=>00100010=>4
[2,3,4,5,7,8,9,10,1,6]=>000000010=>2
[2,3,1,6,7,8,9,4,5]=>01000010=>5
[2,3,4,6,7,8,9,10,1,5]=>000000010=>2
[2,1,5,6,7,8,9,3,4]=>10000010=>7
[2,3,5,6,7,8,9,10,1,4]=>000000010=>2
[1,4,5,6,7,8,9,2,3]=>00000010=>2
[2,4,5,6,7,8,9,10,1,3]=>000000010=>2
[3,4,5,6,7,8,9,10,1,2]=>000000010=>2
[3,6,4,5,7,2,8,1]=>0100101=>2
[5,3,2,7,4,6,8,1]=>1101001=>6
[7,5,3,6,2,4,8,1]=>1101001=>6
[6,3,2,5,1,8,4,7]=>1101010=>7
[8,5,3,6,2,7,1,4]=>1101010=>7
[8,2,6,3,4,7,1,5]=>1010010=>6
[7,2,6,3,4,5,8,1]=>1010001=>6
[6,2,7,3,4,5,8,1]=>1010001=>6
[4,2,5,7,3,6,8,1]=>1001001=>5
[5,4,7,6,2,3,8,1]=>1011001=>5
[6,7,3,5,2,4,8,1]=>0101001=>3
[3,7,6,2,4,5,8,1]=>0110001=>4
[2,7,6,3,4,5,8,1]=>0110001=>4
[6,5,3,1,2,8,4,7]=>1110010=>7
[8,6,5,2,3,7,1,4]=>1110010=>7
[8,5,2,1,7,3,4,6]=>1110100=>7
[7,5,2,1,8,3,4,6]=>1110100=>7
[1,6,3,2,8,4,5,7]=>0110100=>4
[5,6,2,3,1,8,4,7]=>0101010=>4
[4,2,6,5,1,8,3,7]=>1011010=>6
[5,4,8,6,2,7,1,3]=>1011010=>6
[6,8,3,5,2,7,1,4]=>0101010=>4
[7,8,5,2,3,6,1,4]=>0110010=>4
[6,8,2,1,7,3,4,5]=>0110100=>4
[1,8,6,3,7,2,4,5]=>0110100=>4
[1,8,2,7,3,4,5,6]=>0101000=>5
[2,8,1,7,3,4,5,6]=>0101000=>5
[3,8,6,1,7,2,4,5]=>0110100=>4
[4,8,1,5,7,2,3,6]=>0100100=>5
[4,2,8,3,7,1,5,6]=>1010100=>7
[8,1,2,7,3,4,5,6]=>1001000=>7
[3,6,2,7,1,8,4,5]=>0101010=>4
[6,3,7,1,2,8,4,5]=>1010010=>6
[7,2,6,1,8,3,4,5]=>1010100=>7
[7,3,1,5,8,2,4,6]=>1100100=>7
[3,2,1,5,8,4,6,7]=>1100100=>7
[5,4,1,3,6,8,2,7]=>1100010=>7
[1,5,3,4,6,8,2,7]=>0100010=>4
[4,3,5,1,6,8,2,7]=>1010010=>6
[5,4,6,3,8,7,1,2]=>1010110=>5
[3,6,4,5,8,7,1,2]=>0100110=>3
[6,5,3,4,8,7,1,2]=>1100110=>6
[5,3,2,8,7,1,4,6]=>1101100=>7
[5,3,1,8,7,2,4,6]=>1101100=>7
[8,5,3,7,6,1,2,4]=>1101100=>7
[6,1,8,3,7,2,4,5]=>1010100=>7
[6,3,8,1,7,2,4,5]=>1010100=>7
[7,6,8,2,3,5,1,4]=>1010010=>6
[3,7,8,2,4,6,1,5]=>0010010=>3
[6,7,3,8,2,5,1,4]=>0101010=>4
[5,4,7,8,2,6,1,3]=>1001010=>5
[4,2,5,8,7,1,3,6]=>1001100=>6
[2,3,8,7,1,4,5,6]=>0011000=>4
[7,2,8,6,1,3,4,5]=>1011000=>6
[2,1,8,7,3,4,5,6]=>1011000=>6
[8,2,7,6,1,3,4,5]=>1011000=>6
[1,2,8,7,3,4,5,6]=>0011000=>4
[1,3,8,7,2,4,5,6]=>0011000=>4
[1,7,8,3,6,2,4,5]=>0010100=>3
[4,1,5,8,7,2,3,6]=>1001100=>6
[5,4,8,7,6,1,2,3]=>1011100=>5
[6,8,3,7,5,1,2,4]=>0101100=>3
[7,8,6,2,5,1,3,4]=>0110100=>4
[8,1,6,7,3,2,5,4]=>1001101=>4
[8,1,6,7,3,2,4,5]=>1001100=>6
[8,1,5,3,7,2,4,6]=>1010100=>7
[8,1,5,3,6,2,4,7]=>1010100=>7
[7,5,1,3,6,2,4,8]=>1100100=>7
[7,5,8,3,6,2,4,1]=>1010101=>4
[7,4,8,3,2,6,5,1]=>1011011=>3
[7,4,1,3,2,6,5,8]=>1101010=>7
[8,1,4,3,2,6,5,7]=>1011010=>6
[8,1,4,3,2,7,5,6]=>1011010=>6
[8,1,4,3,2,7,6,5]=>1011011=>3
[8,1,5,4,6,7,2,3]=>1010010=>6
[8,1,5,3,6,2,7,4]=>1010101=>4
[8,1,4,3,2,6,7,5]=>1011001=>5
[8,1,4,3,2,5,7,6]=>1011001=>5
[8,1,4,3,2,5,6,7]=>1011000=>6
[7,4,1,3,2,5,6,8]=>1101000=>7
[7,4,8,3,2,5,6,1]=>1011001=>5
[6,4,3,8,2,5,7,1]=>1101001=>6
[6,4,3,1,2,5,8,7]=>1110001=>6
[7,4,1,3,2,5,8,6]=>1101001=>6
[7,4,1,3,2,6,8,5]=>1101001=>6
[7,5,1,3,6,2,8,4]=>1100101=>6
[7,5,1,4,6,8,2,3]=>1100010=>7
[7,5,8,3,6,2,1,4]=>1010110=>5
[7,4,8,3,2,6,1,5]=>1011010=>6
[7,4,8,3,2,5,1,6]=>1011010=>6
[6,4,3,8,2,5,1,7]=>1101010=>7
[6,4,3,7,2,5,8,1]=>1101001=>6
[5,4,3,2,8,6,1,7]=>1110110=>7
[5,4,3,2,8,7,1,6]=>1110110=>7
[6,5,3,8,7,2,1,4]=>1101110=>6
[6,5,4,8,7,1,2,3]=>1101100=>7
[6,5,4,1,7,8,2,3]=>1110010=>7
[6,5,3,1,7,2,8,4]=>1110101=>6
[6,4,3,1,2,7,8,5]=>1110001=>6
[5,4,3,2,1,8,6,7]=>1111010=>7
[6,5,3,1,8,2,7,4]=>1110101=>6
[6,5,4,1,8,7,2,3]=>1110110=>7
[7,5,1,4,8,6,2,3]=>1100110=>6
[7,4,1,3,2,8,6,5]=>1101011=>5
[7,4,1,3,2,8,5,6]=>1101010=>7
[6,4,3,1,2,8,5,7]=>1110010=>7
[6,4,3,1,2,7,5,8]=>1110010=>7
[6,4,3,8,2,7,5,1]=>1101011=>5
[6,5,3,8,7,2,4,1]=>1101101=>5
[6,5,3,1,7,2,4,8]=>1110100=>7
[6,5,3,1,8,2,4,7]=>1110100=>7
[7,5,1,3,8,2,4,6]=>1100100=>7
[7,6,1,8,3,2,4,5]=>1101100=>7
[7,6,1,8,4,5,2,3]=>1101010=>7
[7,6,8,1,4,5,2,3]=>1010010=>6
[7,6,8,1,3,2,5,4]=>1010101=>4
[6,5,3,7,8,2,4,1]=>1100101=>6
[6,4,3,7,2,8,5,1]=>1101011=>5
[6,4,3,7,2,1,5,8]=>1101100=>7
[7,4,8,3,2,1,5,6]=>1011100=>5
[7,4,8,3,2,1,6,5]=>1011101=>4
[7,5,8,3,1,2,6,4]=>1011001=>5
[7,5,8,4,1,6,2,3]=>1011010=>6
[6,5,4,8,1,7,2,3]=>1101010=>7
[6,5,3,8,1,2,7,4]=>1101001=>6
[5,4,3,2,8,1,7,6]=>1110101=>6
[6,4,3,7,2,1,8,5]=>1101101=>5
[6,5,3,7,1,2,8,4]=>1101001=>6
[6,5,4,7,1,8,2,3]=>1101010=>7
[6,5,3,7,8,2,1,4]=>1100110=>6
[6,4,3,7,2,8,1,5]=>1101010=>7
[5,4,3,2,7,8,1,6]=>1110010=>7
[5,4,3,2,6,8,1,7]=>1110010=>7
[5,6,2,1,3,4,8,7]=>0110001=>4
[5,8,2,7,4,1,3,6]=>0101100=>3
[5,3,7,8,2,1,4,6]=>1001100=>6
[7,6,1,2,5,8,3,4]=>1100010=>7
[2,1,7,8,4,3,5,6]=>1001100=>6
[8,3,7,4,1,5,6,2]=>1011001=>5
[7,8,1,2,5,4,6,3]=>0100101=>2
[2,6,8,3,1,4,7,5]=>0011001=>2
[6,1,8,3,2,4,5,7]=>1011000=>6
[8,4,1,3,7,6,2,5]=>1100110=>6
[5,8,7,4,2,1,6,3]=>0111101=>2
[7,5,1,6,8,3,4,2]=>1100101=>6
[6,5,2,1,8,7,4,3]=>1110111=>4
[4,7,2,8,1,3,6,5]=>0101001=>3
[7,3,8,6,1,2,5,4]=>1011001=>5
[3,4,7,1,8,2,6,5]=>0010101=>1
[1,8,2,4,3,5,6,7]=>0101000=>5
[1,7,2,4,3,5,6,8]=>0101000=>5
[1,6,2,4,3,5,7,8]=>0101000=>5
[1,5,2,4,3,6,7,8]=>0101000=>5
[1,6,2,5,3,4,7,8]=>0101000=>5
[1,7,2,5,3,4,6,8]=>0101000=>5
[1,8,2,5,3,4,6,7]=>0101000=>5
[1,8,2,6,3,4,5,7]=>0101000=>5
[1,7,2,6,3,4,5,8]=>0101000=>5
[1,8,2,7,3,5,4,6]=>0101010=>4
[1,7,2,8,3,5,4,6]=>0101010=>4
[1,6,2,8,3,5,4,7]=>0101010=>4
[1,5,2,8,3,6,4,7]=>0101010=>4
[1,4,2,8,3,6,5,7]=>0101010=>4
[1,3,2,8,4,6,5,7]=>0101010=>4
[1,2,3,8,4,6,5,7]=>0001010=>2
[1,2,3,7,4,6,5,8]=>0001010=>2
[1,3,2,7,4,6,5,8]=>0101010=>4
[1,4,2,7,3,6,5,8]=>0101010=>4
[1,5,2,7,3,6,4,8]=>0101010=>4
[1,6,2,7,3,5,4,8]=>0101010=>4
[1,7,2,6,3,5,4,8]=>0101010=>4
[1,8,2,6,3,5,4,7]=>0101010=>4
[1,8,2,5,3,6,4,7]=>0101010=>4
[1,7,2,5,3,6,4,8]=>0101010=>4
[1,6,2,5,3,7,4,8]=>0101010=>4
[1,5,2,4,3,7,6,8]=>0101010=>4
[1,6,2,4,3,7,5,8]=>0101010=>4
[1,7,2,4,3,6,5,8]=>0101010=>4
[1,8,2,4,3,6,5,7]=>0101010=>4
[1,8,2,3,4,6,5,7]=>0100010=>4
[1,7,2,3,4,6,5,8]=>0100010=>4
[1,8,2,3,4,7,5,6]=>0100010=>4
[1,8,2,4,3,7,5,6]=>0101010=>4
[1,7,2,4,3,8,5,6]=>0101010=>4
[1,6,2,4,3,8,5,7]=>0101010=>4
[1,5,2,4,3,8,6,7]=>0101010=>4
[1,6,2,5,3,8,4,7]=>0101010=>4
[1,7,2,5,3,8,4,6]=>0101010=>4
[1,8,2,5,3,7,4,6]=>0101010=>4
[1,8,2,6,3,7,4,5]=>0101010=>4
[1,7,2,6,3,8,4,5]=>0101010=>4
[1,2,3,8,4,7,5,6]=>0001010=>2
[1,3,2,8,4,7,5,6]=>0101010=>4
[1,4,2,8,3,7,5,6]=>0101010=>4
[1,5,2,8,3,7,4,6]=>0101010=>4
[1,6,2,8,3,7,4,5]=>0101010=>4
[1,7,2,8,3,6,4,5]=>0101010=>4
[1,8,2,7,3,6,4,5]=>0101010=>4
[4,6,3,7,2,5,1,8]=>0101010=>4
[4,6,3,7,5,2,1,8]=>0101110=>2
[4,6,3,8,5,1,7,2]=>0101101=>2
[4,6,3,8,5,1,2,7]=>0101100=>3
[5,6,8,3,4,1,2,7]=>0010100=>3
[5,6,8,3,4,1,7,2]=>0010101=>1
[4,6,2,7,5,3,1,8]=>0101110=>2
[5,6,7,2,4,3,1,8]=>0010110=>2
[5,6,8,4,3,1,7,2]=>0011101=>1
[5,6,8,4,3,1,2,7]=>0011100=>3
[5,7,8,4,1,6,2,3]=>0011010=>2
[5,7,8,4,1,6,3,2]=>0011011=>1
[5,7,8,4,1,3,6,2]=>0011001=>2
[5,6,8,4,2,1,7,3]=>0011101=>1
[5,6,8,2,4,1,7,3]=>0010101=>1
[4,6,2,8,5,1,7,3]=>0101101=>2
[3,2,6,8,5,1,7,4]=>1001101=>4
[3,2,6,8,5,1,4,7]=>1001100=>6
[4,6,2,8,5,1,3,7]=>0101100=>3
[5,6,8,2,4,1,3,7]=>0010100=>3
[5,6,8,4,2,1,3,7]=>0011100=>3
[5,7,8,4,1,3,2,6]=>0011010=>2
[5,7,8,4,1,2,6,3]=>0011001=>2
[5,7,8,4,1,2,3,6]=>0011000=>4
[6,7,8,1,5,2,3,4]=>0010100=>3
[6,7,8,1,5,2,4,3]=>0010101=>1
[6,7,8,1,5,3,2,4]=>0010110=>2
[6,7,8,1,3,5,2,4]=>0010010=>3
[5,7,8,2,1,6,3,4]=>0011010=>2
[4,7,2,8,1,6,3,5]=>0101010=>4
[3,2,7,8,1,6,4,5]=>1001010=>5
[3,2,7,8,1,6,5,4]=>1001011=>4
[4,7,2,8,1,6,5,3]=>0101011=>1
[5,7,8,2,1,6,4,3]=>0011011=>1
[6,7,8,1,3,5,4,2]=>0010011=>1
[6,7,8,1,5,3,4,2]=>0010101=>1
[6,7,8,1,5,4,3,2]=>0010111=>1
[6,7,8,1,5,4,2,3]=>0010110=>2
[6,7,8,1,4,5,2,3]=>0010010=>3
[6,7,8,1,4,5,3,2]=>0010011=>1
[6,7,8,1,4,3,5,2]=>0010101=>1
[6,7,8,1,3,4,5,2]=>0010001=>2
[5,7,8,2,1,4,6,3]=>0011001=>2
[4,7,2,8,1,5,6,3]=>0101001=>3
[3,2,7,8,1,5,6,4]=>1001001=>5
[3,2,6,8,4,1,7,5]=>1001101=>4
[4,6,2,8,3,1,7,5]=>0101101=>2
[5,6,8,3,2,1,7,4]=>0011101=>1
[5,7,8,3,1,4,6,2]=>0011001=>2
[5,7,8,3,1,6,4,2]=>0011011=>1
[5,7,8,3,1,6,2,4]=>0011010=>2
[4,7,3,8,1,6,2,5]=>0101010=>4
[4,7,3,8,1,6,5,2]=>0101011=>1
[4,7,3,8,1,5,6,2]=>0101001=>3
[4,6,3,8,2,1,7,5]=>0101101=>2
[4,5,3,2,8,1,7,6]=>0110101=>3
[4,5,2,3,8,1,7,6]=>0100101=>2
[3,2,5,4,8,1,7,6]=>1010101=>4
[4,5,3,2,8,1,6,7]=>0110100=>4
[4,6,3,8,2,1,5,7]=>0101100=>3
[4,7,3,8,1,5,2,6]=>0101010=>4
[4,7,3,8,1,2,6,5]=>0101001=>3
[4,7,3,8,1,2,5,6]=>0101000=>5
[5,7,8,3,1,2,4,6]=>0011000=>4
[5,7,8,3,1,2,6,4]=>0011001=>2
[5,7,8,3,1,4,2,6]=>0011010=>2
[5,6,8,3,2,1,4,7]=>0011100=>3
[3,2,7,8,1,5,4,6]=>1001010=>5
[5,7,8,2,1,4,3,6]=>0011010=>2
[6,7,8,1,3,4,2,5]=>0010010=>3
[6,7,8,1,4,3,2,5]=>0010110=>2
[6,7,8,1,4,2,5,3]=>0010101=>1
[6,7,8,1,4,2,3,5]=>0010100=>3
[6,7,8,1,2,5,3,4]=>0010010=>3
[6,7,8,1,2,5,4,3]=>0010011=>1
[6,7,8,1,2,4,5,3]=>0010001=>2
[6,7,8,1,3,2,5,4]=>0010101=>1
[5,7,8,2,1,3,6,4]=>0011001=>2
[3,2,7,8,1,4,6,5]=>1001001=>5
[6,7,8,1,3,2,4,5]=>0010100=>3
[6,7,8,1,2,4,3,5]=>0010010=>3
[6,7,8,1,2,3,5,4]=>0010001=>2
[7,2,8,5,1,6,4,3]=>1011011=>3
[1,3,7,5,2,6,4,8]=>0011010=>2
[1,3,7,5,4,2,6,8]=>0011100=>3
[7,2,8,5,4,1,6,3]=>1011101=>4
[2,8,5,4,3,1,7,6]=>0111101=>2
[2,8,4,5,6,1,7,3]=>0100101=>2
[2,8,6,5,7,3,1,4]=>0110110=>3
[2,8,4,5,3,7,1,6]=>0101010=>4
[2,8,4,3,5,6,1,7]=>0110010=>4
[7,2,8,4,5,6,1,3]=>1010010=>6
[1,6,3,7,5,2,4,8]=>0101100=>3
[6,2,3,8,5,1,7,4]=>1001101=>4
[6,3,2,8,5,1,4,7]=>1101100=>7
[7,4,8,2,5,6,3,1]=>1010011=>5
[7,4,8,5,2,1,3,6]=>1011100=>5
[6,4,8,5,1,3,7,2]=>1011001=>5
[6,3,7,5,2,1,8,4]=>1011101=>4
[4,3,7,5,1,2,8,6]=>1011001=>5
[4,3,7,1,5,6,8,2]=>1010001=>6
[3,6,1,7,5,2,8,4]=>0101101=>2
[3,4,1,2,7,6,8,5]=>0100101=>2
[3,4,2,1,7,5,8,6]=>0110101=>3
[3,6,5,7,1,4,8,2]=>0101001=>3
[6,5,2,7,4,1,8,3]=>1101101=>5
[3,5,2,6,4,8,7,1]=>0101011=>1
[5,3,1,8,6,4,7,2]=>1101101=>5
[5,6,1,8,7,2,4,3]=>0101101=>2
[6,3,5,8,2,7,4,1]=>1001011=>4
[6,5,8,4,2,3,7,1]=>1011001=>5
[6,2,5,8,3,7,1,4]=>1001010=>5
[1,6,5,7,3,4,2,8]=>0101010=>4
[1,5,2,7,4,6,3,8]=>0101010=>4
[5,2,1,8,7,6,3,4]=>1101110=>6
[7,1,3,8,4,6,2,5]=>1001010=>5
[2,3,4,8,6,1,7,5]=>0001101=>1
[2,3,4,8,6,5,1,7]=>0001110=>2
[2,7,3,5,8,6,1,4]=>0100110=>3
[3,2,4,7,8,6,1,5]=>1000110=>5
[1,5,4,6,2,7,3,8]=>0101010=>4
[5,2,4,7,1,8,3,6]=>1001010=>5
[5,3,6,4,1,8,7,2]=>1011011=>3
[5,3,6,1,4,8,2,7]=>1010010=>6
[7,3,5,6,8,4,2,1]=>1000111=>4
[6,3,5,1,8,2,7,4]=>1010101=>4
[2,6,1,5,8,4,7,3]=>0100101=>2
[2,7,6,5,8,3,4,1]=>0110101=>3
[5,7,1,6,3,8,4,2]=>0101011=>1
[3,2,4,1,7,8,5,6]=>1010010=>6
[3,1,4,2,7,8,6,5]=>1010011=>5
[5,1,4,7,2,8,6,3]=>1001011=>4
[3,6,4,7,8,2,5,1]=>0100101=>2
[3,1,4,6,8,5,7,2]=>1000101=>5
[6,3,4,5,7,1,8,2]=>1000101=>5
[2,5,4,6,1,7,8,3]=>0101001=>3
[7,2,1,4,3,6,5,8]=>1101010=>7
[7,3,4,1,2,6,5,8]=>1010010=>6
[7,4,3,2,1,6,5,8]=>1111010=>7
[7,6,3,2,5,4,1,8]=>1110110=>7
[6,7,3,2,5,4,8,1]=>0110101=>3
[1,8,3,2,5,4,7,6]=>0110101=>3
[1,8,4,5,2,3,7,6]=>0101001=>3
[7,3,5,1,6,2,4,8]=>1010100=>7
[7,2,1,5,6,3,4,8]=>1100100=>7
[7,2,1,6,5,4,3,8]=>1101110=>6
[7,3,6,1,5,4,2,8]=>1010110=>5
[7,4,6,5,1,3,2,8]=>1011010=>6
[1,8,5,4,3,2,7,6]=>0111101=>2
[1,8,6,4,3,7,2,5]=>0111010=>3
[6,5,7,4,3,1,8,2]=>1011101=>4
[6,4,7,5,1,3,8,2]=>1011001=>5
[6,3,7,1,5,4,8,2]=>1010101=>4
[6,2,1,7,5,4,8,3]=>1101101=>5
[3,2,1,8,5,4,7,6]=>1101101=>5
[2,3,8,1,5,4,7,6]=>0010101=>1
[2,4,8,5,1,3,7,6]=>0011001=>2
[2,5,8,4,3,1,7,6]=>0011101=>1
[2,6,8,4,3,7,1,5]=>0011010=>2
[2,7,8,4,3,6,5,1]=>0011011=>1
[1,8,7,4,3,6,5,2]=>0111011=>2
[1,8,7,5,6,3,4,2]=>0110101=>3
[2,7,8,5,6,3,4,1]=>0010101=>1
[2,6,8,5,7,3,1,4]=>0010110=>2
[2,5,8,6,7,1,3,4]=>0010100=>3
[2,4,8,6,1,7,3,5]=>0011010=>2
[3,2,1,8,6,7,4,5]=>1101010=>7
[5,2,1,7,6,8,4,3]=>1101011=>5
[5,3,7,1,6,8,4,2]=>1010011=>5
[5,4,7,6,1,8,3,2]=>1011011=>3
[4,5,7,6,8,1,3,2]=>0010101=>1
[4,6,7,5,8,3,1,2]=>0010110=>2
[1,8,6,5,7,3,2,4]=>0110110=>3
[1,8,5,6,7,2,3,4]=>0100100=>5
[4,7,5,6,8,2,3,1]=>0100101=>2
[4,6,5,7,8,2,1,3]=>0100110=>3
[5,4,6,7,1,8,2,3]=>1001010=>5
[5,3,6,1,7,8,2,4]=>1010010=>6
[5,2,1,6,7,8,3,4]=>1100010=>7
[6,2,1,5,7,3,8,4]=>1100101=>6
[6,3,5,1,7,2,8,4]=>1010101=>4
[6,4,5,7,1,2,8,3]=>1001001=>5
[6,5,4,7,2,1,8,3]=>1101101=>5
[5,6,4,7,2,8,1,3]=>0101010=>4
[1,8,4,6,2,7,3,5]=>0101010=>4
[1,8,3,2,6,7,4,5]=>0110010=>4
[5,7,3,2,6,8,4,1]=>0110011=>2
[5,6,3,2,7,8,1,4]=>0110010=>4
[6,5,3,2,7,1,8,4]=>1110101=>6
[6,4,3,2,1,7,8,5]=>1111001=>6
[6,2,1,4,3,7,8,5]=>1101001=>6
[5,2,1,4,3,8,7,6]=>1101011=>5
[5,3,4,1,2,8,7,6]=>1010011=>5
[4,6,3,2,8,7,1,5]=>0110110=>3
[4,7,3,2,8,6,5,1]=>0110111=>1
[1,8,3,2,7,6,5,4]=>0110111=>1
[1,8,4,7,2,6,5,3]=>0101011=>1
[3,7,4,8,2,6,5,1]=>0101011=>1
[3,6,4,8,2,7,1,5]=>0101010=>4
[3,5,4,8,2,1,7,6]=>0101101=>2
[3,4,5,8,1,2,7,6]=>0001001=>1
[4,3,5,1,8,2,7,6]=>1010101=>4
[4,2,1,5,8,3,7,6]=>1100101=>6
[4,2,1,6,8,7,3,5]=>1100110=>6
[4,3,6,1,8,7,2,5]=>1010110=>5
[3,4,6,8,1,7,2,5]=>0001010=>2
[3,5,6,8,7,1,2,4]=>0001100=>3
[3,6,5,8,7,2,1,4]=>0101110=>2
[3,7,5,8,6,2,4,1]=>0101101=>2
[1,8,5,7,6,2,4,3]=>0101101=>2
[1,8,6,7,5,4,2,3]=>0101110=>2
[3,6,7,8,5,4,1,2]=>0001110=>2
[3,5,7,8,6,1,4,2]=>0001101=>1
[3,4,7,8,1,6,5,2]=>0001011=>1
[4,2,1,7,8,6,5,3]=>1100111=>4
[2,3,8,1,7,6,5,4]=>0010111=>1
[2,4,8,7,1,6,5,3]=>0011011=>1
[2,5,8,7,6,1,4,3]=>0011101=>1
[2,6,8,7,5,4,1,3]=>0011110=>2
[7,4,6,1,8,3,5,2]=>1010101=>4
[8,3,5,1,7,4,6,2]=>1010101=>4
[8,3,4,1,7,5,6,2]=>1010101=>4
[4,8,3,1,7,5,6,2]=>0110101=>3
[4,6,2,1,7,5,8,3]=>0110101=>3
[1,4,6,2,7,5,8,3]=>0010101=>1
[1,7,5,2,6,8,4,3]=>0110011=>2
[7,5,2,1,6,8,4,3]=>1110011=>5
[6,8,4,3,1,7,5,2]=>0111011=>2
[3,6,8,4,1,7,5,2]=>0011011=>1
[3,6,7,5,1,8,4,2]=>0011011=>1
[7,5,6,1,8,3,4,2]=>1010101=>4
[3,4,6,5,7,1,8,2]=>0010101=>1
[4,7,5,6,1,8,3,2]=>0101011=>1
[6,7,5,1,8,4,3,2]=>0110111=>1
[6,8,4,1,7,5,3,2]=>0110111=>1
[6,7,5,3,1,8,4,2]=>0111011=>2
[8,4,2,1,6,7,5,3]=>1110011=>5
[1,8,4,2,6,7,5,3]=>0110011=>2
[1,5,3,2,7,6,8,4]=>0110101=>3
[5,3,2,1,7,6,8,4]=>1110101=>6
[2,5,3,1,7,6,8,4]=>0110101=>3
[2,8,4,1,6,7,5,3]=>0110011=>2
[2,7,5,1,6,8,4,3]=>0110011=>2
[2,4,6,1,7,5,8,3]=>0010101=>1
[4,7,1,6,5,8,2,3]=>0101010=>4
[4,8,2,6,5,7,1,3]=>0101010=>4
[4,6,1,2,7,5,8,3]=>0100101=>2
[7,5,1,2,6,8,4,3]=>1100011=>5
[8,4,1,2,6,7,5,3]=>1100011=>5
[5,3,1,2,7,6,8,4]=>1100101=>6
[1,2,5,3,7,6,8,4]=>0010101=>1
[4,3,1,2,7,6,8,5]=>1100101=>6
[3,5,1,2,7,6,8,4]=>0100101=>2
[6,7,1,5,8,2,3,4]=>0100100=>5
[2,7,6,1,5,8,3,4]=>0110010=>4
[2,3,5,1,7,6,8,4]=>0010101=>1
[7,6,1,5,8,3,2,4]=>1100110=>6
[3,6,7,1,5,8,2,4]=>0010010=>3
[7,1,6,5,8,2,4,3]=>1010101=>4
[7,5,1,6,8,4,2,3]=>1100110=>6
[8,4,1,6,7,5,2,3]=>1100110=>6
[5,2,3,1,7,6,8,4]=>1010101=>4
[3,5,2,1,7,6,8,4]=>0110101=>3
[1,3,5,2,7,6,8,4]=>0010101=>1
[1,7,6,2,5,8,3,4]=>0110010=>4
[7,6,2,1,5,8,3,4]=>1110010=>7
[8,3,1,5,7,6,2,4]=>1100110=>6
[6,2,4,1,7,5,8,3]=>1010101=>4
[6,2,5,1,7,4,8,3]=>1010101=>4
[7,1,6,4,8,2,5,3]=>1010101=>4
[8,2,6,4,7,1,5,3]=>1010101=>4
[6,1,5,2,7,4,8,3]=>1010101=>4
[7,6,2,5,8,3,1,4]=>1100110=>6
[8,3,5,7,6,2,1,4]=>1001110=>4
[1,8,3,5,7,6,2,4]=>0100110=>3
[1,5,2,3,7,6,8,4]=>0100101=>2
[5,2,1,3,7,6,8,4]=>1100101=>6
[7,5,2,6,8,4,1,3]=>1100110=>6
[8,4,2,6,7,5,1,3]=>1100110=>6
[6,1,4,2,7,5,8,3]=>1010101=>4
[8,2,6,5,7,1,4,3]=>1010101=>4
[3,6,8,2,5,7,1,4]=>0010010=>3
[8,3,2,5,7,6,1,4]=>1100110=>6
[5,1,3,2,7,6,8,4]=>1010101=>4
[4,1,3,2,7,6,8,5]=>1010101=>4
[4,2,1,3,7,6,8,5]=>1100101=>6
[1,4,2,3,7,6,8,5]=>0100101=>2
[2,4,1,3,7,6,8,5]=>0100101=>2
[2,5,1,3,7,6,8,4]=>0100101=>2
[2,8,3,5,7,6,1,4]=>0100110=>3
[6,8,2,3,5,7,1,4]=>0100010=>4
[6,7,1,3,5,8,2,4]=>0100010=>4
[8,3,5,7,6,1,2,4]=>1001100=>6
[5,1,2,3,7,6,8,4]=>1000101=>5
[3,1,2,4,7,6,8,5]=>1000101=>5
[10,8,9,5,6,7,1,2,3,4]=>101001000=>9
[10,8,9,4,5,6,1,2,3,7]=>101001000=>9
[10,7,8,5,6,9,1,2,3,4]=>101001000=>9
[10,7,8,4,5,9,1,2,3,6]=>101001000=>9
[10,6,7,4,5,8,1,2,3,9]=>101001000=>9
[10,7,8,3,4,9,1,2,5,6]=>101001000=>9
[10,6,7,3,4,8,1,2,5,9]=>101001000=>9
[9,8,10,5,6,7,1,2,3,4]=>101001000=>9
[9,8,10,4,5,6,1,2,3,7]=>101001000=>9
[9,7,10,5,6,8,1,2,3,4]=>101001000=>9
[9,7,10,4,5,8,1,2,3,6]=>101001000=>9
[9,6,10,4,5,7,1,2,3,8]=>101001000=>9
[9,7,10,3,4,8,1,2,5,6]=>101001000=>9
[9,6,10,3,4,7,1,2,5,8]=>101001000=>9
[8,7,9,5,6,10,1,2,3,4]=>101001000=>9
[8,7,9,4,5,10,1,2,3,6]=>101001000=>9
[8,6,9,4,5,10,1,2,3,7]=>101001000=>9
[7,6,8,4,5,9,1,2,3,10]=>101001000=>9
[8,7,9,3,4,10,1,2,5,6]=>101001000=>9
[8,6,9,3,4,10,1,2,5,7]=>101001000=>9
[7,6,8,3,4,9,1,2,5,10]=>101001000=>9
[9,6,10,5,7,8,1,2,3,4]=>101001000=>9
[9,6,10,4,7,8,1,2,3,5]=>101001000=>9
[9,5,10,4,6,7,1,2,3,8]=>101001000=>9
[9,6,10,3,7,8,1,2,4,5]=>101001000=>9
[9,5,10,3,6,7,1,2,4,8]=>101001000=>9
[8,6,9,5,7,10,1,2,3,4]=>101001000=>9
[8,6,9,4,7,10,1,2,3,5]=>101001000=>9
[8,5,9,4,6,10,1,2,3,7]=>101001000=>9
[7,5,8,4,6,9,1,2,3,10]=>101001000=>9
[8,6,9,3,7,10,1,2,4,5]=>101001000=>9
[8,5,9,3,6,10,1,2,4,7]=>101001000=>9
[7,5,8,3,6,9,1,2,4,10]=>101001000=>9
[8,4,9,3,5,10,1,2,6,7]=>101001000=>9
[7,4,8,3,5,9,1,2,6,10]=>101001000=>9
[9,6,10,2,7,8,1,3,4,5]=>101001000=>9
[9,5,10,2,6,7,1,3,4,8]=>101001000=>9
[8,6,9,2,7,10,1,3,4,5]=>101001000=>9
[8,5,9,2,6,10,1,3,4,7]=>101001000=>9
[7,5,8,2,6,9,1,3,4,10]=>101001000=>9
[8,4,9,2,5,10,1,3,6,7]=>101001000=>9
[7,4,8,2,5,9,1,3,6,10]=>101001000=>9
[8,1,2,4,3,6,5,7]=>1001010=>5
[8,1,3,5,6,2,7,4]=>1000101=>5
[8,1,3,4,2,6,7,5]=>1001001=>5
[8,1,3,2,4,5,7,6]=>1010001=>6
[2,7,8,3,4,5,6,1]=>0010001=>2
[2,6,3,8,4,5,7,1]=>0101001=>3
[6,3,2,1,4,5,8,7]=>1110001=>6
[7,3,1,4,2,6,8,5]=>1101001=>6
[7,4,1,5,6,8,2,3]=>1100010=>7
[4,7,8,5,6,1,2,3]=>0010100=>3
[3,7,8,5,6,2,1,4]=>0010110=>2
[3,7,8,4,2,6,1,5]=>0011010=>2
[3,7,8,2,4,5,1,6]=>0010010=>3
[3,6,2,8,4,5,1,7]=>0101010=>4
[2,3,6,7,4,5,8,1]=>0001001=>1
[3,5,2,4,8,6,1,7]=>0100110=>3
[3,5,4,2,8,7,1,6]=>0110110=>3
[4,6,5,8,7,1,2,3]=>0101100=>3
[6,4,5,1,7,8,2,3]=>1010010=>6
[7,4,1,2,3,8,5,6]=>1100010=>7
[6,2,4,1,3,7,5,8]=>1010010=>6
[2,6,4,8,3,7,5,1]=>0101011=>1
[2,6,5,8,7,3,4,1]=>0101101=>2
[6,2,5,1,7,3,4,8]=>1010100=>7
[6,5,2,1,8,3,4,7]=>1110100=>7
[2,5,6,7,8,3,4,1]=>0000101=>1
[2,4,6,7,3,8,5,1]=>0001011=>1
[4,2,6,7,3,1,5,8]=>1001100=>6
[4,7,8,2,3,1,5,6]=>0010100=>3
[4,7,8,3,2,1,6,5]=>0011101=>1
[5,6,4,8,1,7,2,3]=>0101010=>4
[5,6,3,8,1,2,7,4]=>0101001=>3
[4,2,5,3,7,1,6,8]=>1010100=>7
[4,3,6,7,2,1,8,5]=>1001101=>4
[3,4,6,7,2,8,1,5]=>0001010=>2
[3,4,5,2,7,8,1,6]=>0010010=>3
[3,4,2,5,6,8,1,7]=>0100010=>4
[5,2,7,8,6,4,1,3]=>1001110=>4
[5,1,2,7,8,6,4,3]=>1000111=>4
[4,7,1,8,6,5,2,3]=>0101110=>2
[4,7,1,2,8,6,5,3]=>0100111=>2
[4,6,8,1,2,7,5,3]=>0010011=>1
[6,8,7,1,5,3,2,4]=>0110110=>3
[6,8,7,3,5,1,2,4]=>0110100=>4
[7,8,1,6,3,5,2,4]=>0101010=>4
[7,8,1,3,6,5,2,4]=>0100110=>3
[7,8,3,6,5,2,1,4]=>0101110=>2
[4,7,2,8,6,1,5,3]=>0101101=>2
[1,7,3,4,8,6,5,2]=>0100111=>2
[4,2,7,1,8,6,5,3]=>1010111=>3
[7,8,2,3,6,5,1,4]=>0100110=>3
[8,5,7,1,6,2,3,4]=>1010100=>7
[8,5,7,1,2,6,3,4]=>1010010=>6
[6,8,2,7,1,3,5,4]=>0101001=>3
[6,8,7,2,5,3,1,4]=>0110110=>3
[6,2,4,8,7,1,5,3]=>1001101=>4
[1,6,8,3,7,4,5,2]=>0010101=>1
[1,6,8,3,4,7,5,2]=>0010011=>1
[6,2,4,8,1,7,5,3]=>1001011=>4
[6,8,7,2,3,5,1,4]=>0110010=>4
[6,8,2,1,7,3,5,4]=>0110101=>3
[8,5,7,2,1,6,3,4]=>1011010=>6
[8,5,7,1,2,3,6,4]=>1010001=>6
[8,7,6,2,1,4,3,5]=>1111010=>7
[8,5,7,2,3,1,6,4]=>1010101=>4
[5,8,4,2,7,1,6,3]=>0110101=>3
[1,8,7,5,3,4,6,2]=>0111001=>3
[1,8,7,3,5,4,6,2]=>0110101=>3
[8,2,5,4,7,1,6,3]=>1010101=>4
[8,5,2,7,3,1,6,4]=>1101101=>5
[8,7,6,2,4,3,1,5]=>1110110=>7
[8,7,6,1,2,4,3,5]=>1110010=>7
[8,7,6,1,4,2,3,5]=>1110100=>7
[8,7,6,4,1,3,2,5]=>1111010=>7
[5,8,4,7,2,1,6,3]=>0101101=>2
[1,8,7,5,4,3,6,2]=>0111101=>2
[1,6,8,4,3,7,5,2]=>0011011=>1
[6,8,7,3,2,5,1,4]=>0111010=>3
[6,8,1,7,3,2,5,4]=>0101101=>2
[8,5,7,3,1,6,2,4]=>1011010=>6
[8,5,7,1,3,2,6,4]=>1010101=>4
[8,5,7,3,1,2,6,4]=>1011001=>5
[5,8,4,7,1,2,6,3]=>0101001=>3
[5,8,4,1,7,2,6,3]=>0110101=>3
[5,8,4,7,1,6,2,3]=>0101010=>4
[8,1,2,6,5,7,4,3]=>1001011=>4
[8,2,5,6,7,4,1,3]=>1000110=>5
[4,8,5,7,1,6,2,3]=>0101010=>4
[4,8,5,7,1,2,6,3]=>0101001=>3
[4,8,5,1,7,2,6,3]=>0110101=>3
[8,5,3,1,7,2,6,4]=>1110101=>6
[8,5,3,7,1,2,6,4]=>1101001=>6
[6,8,1,3,7,2,5,4]=>0100101=>2
[4,6,2,8,1,7,5,3]=>0101011=>1
[1,6,4,8,3,7,5,2]=>0101011=>1
[1,8,7,4,5,3,6,2]=>0110101=>3
[4,8,5,7,2,1,6,3]=>0101101=>2
[8,5,3,7,2,1,6,4]=>1101101=>5
[8,7,6,3,1,4,2,5]=>1111010=>7
[8,7,6,1,3,2,4,5]=>1110100=>7
[8,5,3,2,7,1,6,4]=>1110101=>6
[4,8,5,2,7,1,6,3]=>0110101=>3
[1,8,7,4,3,5,6,2]=>0111001=>3
[1,8,7,3,4,5,6,2]=>0110001=>4
[8,2,4,5,7,1,6,3]=>1000101=>5
[8,5,2,3,7,1,6,4]=>1100101=>6
[6,3,1,5,4,2,8,7]=>1101101=>5
[8,3,1,5,2,7,6,4]=>1101011=>5
[8,5,4,2,1,7,3,6]=>1111010=>7
[8,5,4,2,1,7,6,3]=>1111011=>5
[6,5,4,2,1,3,8,7]=>1111001=>6
[6,5,4,2,3,1,8,7]=>1110101=>6
[6,3,2,5,1,4,8,7]=>1101001=>6
[6,5,4,3,1,2,8,7]=>1111001=>6
[6,5,4,1,3,2,8,7]=>1110101=>6
[8,5,4,1,2,7,6,3]=>1110011=>5
[8,7,4,1,6,3,2,5]=>1110110=>7
[8,7,4,1,6,3,5,2]=>1110101=>6
[8,7,4,1,6,5,3,2]=>1110111=>4
[8,5,4,1,3,7,6,2]=>1110011=>5
[8,5,4,3,1,7,6,2]=>1111011=>5
[8,3,2,5,1,7,6,4]=>1101011=>5
[2,1,8,5,3,7,6,4]=>1011011=>3
[8,3,2,5,1,7,4,6]=>1101010=>7
[8,5,4,3,1,7,2,6]=>1111010=>7
[8,5,4,1,3,7,2,6]=>1110010=>7
[8,7,4,1,6,5,2,3]=>1110110=>7
[8,7,4,1,6,2,5,3]=>1110101=>6
[8,7,6,5,2,1,4,3]=>1111101=>6
[8,7,4,3,6,2,1,5]=>1110110=>7
[8,3,2,7,6,4,1,5]=>1101110=>6
[2,1,8,7,6,4,3,5]=>1011110=>4
[2,1,8,7,6,4,5,3]=>1011101=>4
[8,3,2,7,6,4,5,1]=>1101101=>5
[8,7,4,3,6,2,5,1]=>1110101=>6
[8,7,6,5,2,4,3,1]=>1111011=>5
[8,5,4,2,3,7,6,1]=>1110011=>5
[8,7,4,2,6,5,3,1]=>1110111=>4
[8,7,4,2,6,3,5,1]=>1110101=>6
[8,7,4,2,6,3,1,5]=>1110110=>7
[8,3,1,7,6,4,2,5]=>1101110=>6
[8,3,1,7,6,4,5,2]=>1101101=>5
[8,3,1,7,6,5,4,2]=>1101111=>3
[8,3,1,5,4,7,6,2]=>1101011=>5
[8,3,1,5,4,7,2,6]=>1101010=>7
[8,3,1,7,6,5,2,4]=>1101110=>6
[8,3,1,7,6,2,5,4]=>1101101=>5
[8,7,4,2,6,1,5,3]=>1110101=>6
[8,7,4,2,6,5,1,3]=>1110110=>7
[8,5,4,2,3,7,1,6]=>1110010=>7
[8,3,2,5,4,7,1,6]=>1101010=>7
[2,1,8,5,4,7,3,6]=>1011010=>6
[8,3,2,7,6,5,1,4]=>1101110=>6
[8,7,4,3,6,5,1,2]=>1110110=>7
[8,7,6,5,3,1,4,2]=>1111101=>6
[8,7,6,5,1,3,2,4]=>1111010=>7
[8,7,6,5,1,3,4,2]=>1111001=>6
[8,7,6,5,1,4,3,2]=>1111011=>5
[8,7,6,5,4,1,3,2]=>1111101=>6
[8,7,4,3,6,1,5,2]=>1110101=>6
[8,3,2,7,6,1,5,4]=>1101101=>5
[2,1,8,7,6,3,5,4]=>1011101=>4
[8,3,2,7,6,1,4,5]=>1101100=>7
[8,7,6,5,1,4,2,3]=>1111010=>7
[8,7,6,5,1,2,4,3]=>1111001=>6
[7,3,5,1,8,4,6,2]=>1010101=>4
[7,3,4,1,8,5,6,2]=>1010101=>4
[4,5,6,2,1,8,7,3]=>0011011=>1
[1,6,5,2,7,4,3,8]=>0110110=>3
[7,4,3,1,8,6,5,2]=>1110111=>4
[7,6,5,1,8,4,3,2]=>1110111=>4
[7,6,4,1,8,5,3,2]=>1110111=>4
[6,4,2,1,8,7,5,3]=>1110111=>4
[1,6,4,2,7,5,3,8]=>0110110=>3
[1,5,3,2,7,6,4,8]=>0110110=>3
[5,3,2,1,8,7,6,4]=>1110111=>4
[2,5,3,1,7,8,6,4]=>0110011=>2
[2,6,4,1,7,8,5,3]=>0110011=>2
[2,6,5,1,7,8,4,3]=>0110011=>2
[4,5,7,1,6,8,2,3]=>0010010=>3
[6,5,1,2,8,4,3,7]=>1100110=>6
[6,4,1,2,8,5,3,7]=>1100110=>6
[5,3,1,2,8,6,4,7]=>1100110=>6
[4,3,1,2,8,6,5,7]=>1100110=>6
[6,1,2,5,8,3,4,7]=>1000100=>6
[7,1,3,4,8,2,5,6]=>1000100=>6
[7,1,5,6,8,2,3,4]=>1000100=>6
[2,6,1,5,7,8,3,4]=>0100010=>4
[7,4,1,6,8,5,2,3]=>1100110=>6
[5,2,3,1,8,6,7,4]=>1010101=>4
[3,5,2,1,6,8,7,4]=>0110011=>2
[1,6,2,5,7,3,4,8]=>0100100=>5
[6,2,1,5,8,7,3,4]=>1100110=>6
[7,3,1,5,8,6,2,4]=>1100110=>6
[6,2,4,1,8,5,7,3]=>1010101=>4
[6,2,5,1,8,4,7,3]=>1010101=>4
[7,3,1,4,8,6,2,5]=>1100110=>6
[6,2,1,4,8,7,3,5]=>1100110=>6
[1,6,2,4,7,3,5,8]=>0100100=>5
[5,2,1,3,8,7,4,6]=>1100110=>6
[7,4,1,3,8,5,2,6]=>1100110=>6
[7,5,1,3,8,4,2,6]=>1100110=>6
[3,6,7,1,4,8,2,5]=>0010010=>3
[7,6,1,4,8,3,2,5]=>1100110=>6
[4,2,1,3,8,7,5,6]=>1100110=>6
[2,6,1,4,7,8,3,5]=>0100010=>4
[7,1,4,6,8,2,3,5]=>1000100=>6
[7,1,3,5,8,2,4,6]=>1000100=>6
[6,1,2,4,8,3,5,7]=>1000100=>6
[5,2,3,1,6,4,8,7]=>1010101=>4
[7,4,5,2,3,1,8,6]=>1010101=>4
[8,6,7,3,5,2,4,1]=>1010101=>4
[7,3,5,2,4,1,8,6]=>1010101=>4
[6,3,5,2,4,1,8,7]=>1010101=>4
[5,2,4,1,6,3,8,7]=>1010101=>4
[4,1,6,3,5,2,8,7]=>1010101=>4
[6,3,4,1,5,2,8,7]=>1010101=>4
[5,2,6,3,4,1,8,7]=>1010101=>4
[5,2,7,3,4,1,8,6]=>1010101=>4
[5,2,8,6,7,3,4,1]=>1010101=>4
[6,2,8,5,7,3,4,1]=>1010101=>4
[6,2,7,3,4,1,8,5]=>1010101=>4
[7,3,4,1,5,2,8,6]=>1010101=>4
[4,1,7,3,5,2,8,6]=>1010101=>4
[3,1,7,4,5,2,8,6]=>1010101=>4
[2,1,7,4,5,3,8,6]=>1010101=>4
[3,1,8,6,7,4,5,2]=>1010101=>4
[4,1,8,6,7,3,5,2]=>1010101=>4
[8,6,7,3,4,1,5,2]=>1010101=>4
[8,5,7,3,4,1,6,2]=>1010101=>4
[8,5,6,2,7,3,4,1]=>1010101=>4
[8,4,7,3,5,1,6,2]=>1010101=>4
[5,1,8,4,7,3,6,2]=>1010101=>4
[4,1,8,5,7,3,6,2]=>1010101=>4
[3,1,8,5,7,4,6,2]=>1010101=>4
[2,1,8,5,7,4,6,3]=>1010101=>4
[2,1,7,4,6,3,8,5]=>1010101=>4
[3,1,7,4,6,2,8,5]=>1010101=>4
[4,1,7,3,6,2,8,5]=>1010101=>4
[5,1,7,3,6,2,8,4]=>1010101=>4
[6,2,7,3,5,1,8,4]=>1010101=>4
[6,2,8,4,7,3,5,1]=>1010101=>4
[8,4,7,3,6,2,5,1]=>1010101=>4
[7,3,6,2,5,1,8,4]=>1010101=>4
[6,2,5,1,7,3,8,4]=>1010101=>4
[5,2,4,1,7,3,8,6]=>1010101=>4
[6,2,4,1,7,3,8,5]=>1010101=>4
[8,5,7,3,6,2,4,1]=>1010101=>4
[8,5,7,4,6,2,3,1]=>1010101=>4
[7,4,6,2,3,1,8,5]=>1010101=>4
[6,2,3,1,7,4,8,5]=>1010101=>4
[5,2,3,1,7,4,8,6]=>1010101=>4
[4,2,3,1,7,5,8,6]=>1010101=>4
[3,1,4,2,8,6,7,5]=>1010101=>4
[6,2,3,1,8,5,7,4]=>1010101=>4
[8,5,6,2,3,1,7,4]=>1010101=>4
[7,4,8,5,6,2,3,1]=>1010101=>4
[7,3,8,5,6,2,4,1]=>1010101=>4
[8,5,6,2,4,1,7,3]=>1010101=>4
[5,2,4,1,8,6,7,3]=>1010101=>4
[4,1,5,2,8,6,7,3]=>1010101=>4
[3,1,5,2,8,6,7,4]=>1010101=>4
[2,1,6,3,8,5,7,4]=>1010101=>4
[3,1,6,2,8,5,7,4]=>1010101=>4
[4,1,6,2,8,5,7,3]=>1010101=>4
[5,1,6,2,8,4,7,3]=>1010101=>4
[8,4,6,2,5,1,7,3]=>1010101=>4
[7,3,8,4,6,2,5,1]=>1010101=>4
[6,2,7,3,8,4,5,1]=>1010101=>4
[8,4,5,1,6,2,7,3]=>1010101=>4
[5,1,8,4,6,2,7,3]=>1010101=>4
[4,1,8,5,6,2,7,3]=>1010101=>4
[3,1,8,5,6,2,7,4]=>1010101=>4
[2,1,8,5,6,3,7,4]=>1010101=>4
[2,1,7,4,8,5,6,3]=>1010101=>4
[3,1,7,4,8,5,6,2]=>1010101=>4
[4,1,7,3,8,5,6,2]=>1010101=>4
[7,3,8,4,5,1,6,2]=>1010101=>4
[8,4,5,1,7,3,6,2]=>1010101=>4
[7,3,6,2,8,4,5,1]=>1010101=>4
[7,8,5,6,1,3,4,2]=>0101001=>3
[7,8,1,3,6,2,5,4]=>0100101=>2
[1,3,8,4,7,2,5,6]=>0010100=>3
[3,6,1,4,7,2,5,8]=>0100100=>5
[4,6,1,2,5,7,3,8]=>0100010=>4
[1,4,8,2,5,7,3,6]=>0010010=>3
[7,8,2,4,5,6,1,3]=>0100010=>4
[7,8,1,5,4,6,3,2]=>0101011=>1
[7,8,2,1,6,3,4,5]=>0110100=>4
[7,8,3,5,6,4,1,2]=>0100110=>3
[7,8,1,4,2,3,6,5]=>0101001=>3
[7,8,5,1,4,2,6,3]=>0110101=>3
[7,8,4,5,3,1,6,2]=>0101101=>2
[1,5,8,4,3,2,7,6]=>0011101=>1
[5,6,1,4,3,2,7,8]=>0101100=>3
[2,6,4,8,3,7,1,5]=>0101010=>4
[1,4,6,8,3,7,5,2]=>0001011=>1
[2,4,8,5,3,1,6,7]=>0011100=>3
[2,5,8,1,4,7,6,3]=>0010011=>1
[3,5,8,4,7,6,1,2]=>0010110=>2
[1,6,2,4,7,3,8,5]=>0100101=>2
[5,6,2,1,4,7,8,3]=>0110001=>4
[4,6,2,5,3,1,8,7]=>0101101=>2
[4,7,5,1,3,6,8,2]=>0110001=>4
[7,5,3,6,2,4,1,8]=>1101010=>7
[5,7,3,6,1,4,8,2]=>0101001=>3
[5,3,6,7,2,1,8,4]=>1001101=>4
[6,1,7,5,2,4,8,3]=>1011001=>5
[6,3,1,2,4,5,8,7]=>1100001=>6
[1,4,7,2,5,3,8,6]=>0010101=>1
[4,6,7,8,3,5,1,2]=>0001010=>2
[3,6,1,8,4,2,5,7]=>0101100=>3
[1,6,7,5,8,2,4,3]=>0010101=>1
[3,5,6,7,8,1,4,2]=>0000101=>1
[3,6,5,7,8,2,1,4]=>0100110=>3
[5,2,7,6,1,4,3,8]=>1011010=>6
[2,5,7,6,8,1,3,4]=>0010100=>3
[2,7,5,6,8,4,1,3]=>0100110=>3
[2,1,6,8,4,5,3,7]=>1001010=>5
[2,7,1,8,5,3,4,6]=>0101100=>3
[3,7,6,8,5,4,1,2]=>0101110=>2
[4,3,8,5,6,7,1,2]=>1010010=>6
[4,2,8,1,6,3,7,5]=>1010101=>4
[3,1,8,5,4,6,7,2]=>1011001=>5
[3,2,8,4,5,6,1,7]=>1010010=>6
[3,4,2,8,6,1,7,5]=>0101101=>2
[3,4,7,1,5,2,6,8]=>0010100=>3
[4,3,7,8,1,2,6,5]=>1001001=>5
[1,7,3,8,5,2,6,4]=>0101101=>2
[4,1,8,3,6,2,5,7]=>1010100=>7
[5,7,8,6,3,2,1,4]=>0011110=>2
[5,7,8,6,1,3,4,2]=>0011001=>2
[7,6,5,8,1,3,4,2]=>1101001=>6
[1,6,4,3,8,2,5,7]=>0110100=>4
[7,1,3,4,8,2,6,5]=>1000101=>5
[3,6,5,4,1,2,7,8]=>0111000=>4
[2,4,5,1,7,8,6,3]=>0010011=>1
[2,6,3,4,5,8,1,7]=>0100010=>4
[2,6,4,1,8,3,7,5]=>0110101=>3
[7,3,6,4,8,5,1,2]=>1010110=>5
[7,2,1,4,8,3,5,6]=>1100100=>7
[7,1,6,5,3,8,4,2]=>1011011=>3
[7,2,5,6,3,8,1,4]=>1001010=>5
[6,5,2,7,1,8,4,3]=>1101011=>5
[5,6,2,7,3,1,4,8]=>0101100=>3
[5,6,7,4,2,8,1,3]=>0011010=>2
[5,7,6,4,1,8,3,2]=>0111011=>2
[6,7,1,5,2,8,3,4]=>0101010=>4
[1,7,5,2,4,8,3,6]=>0110010=>4
[6,1,5,2,8,3,4,7]=>1010100=>7
[6,7,5,3,8,4,1,2]=>0110110=>3
[1,6,5,4,2,3,8,7]=>0111001=>3
[7,1,5,3,4,2,8,6]=>1010101=>4
[7,6,1,5,3,2,8,4]=>1101101=>5
[7,5,6,4,1,2,8,3]=>1011001=>5
[6,7,5,4,3,1,8,2]=>0111101=>2
[7,5,2,4,3,1,6,8]=>1101100=>7
[7,4,6,1,2,5,3,8]=>1010010=>6
[7,1,4,2,5,3,6,8]=>1010100=>7
[6,8,1,4,2,5,7,3]=>0101001=>3
[1,6,4,2,5,7,3,8]=>0110010=>4
[1,6,3,7,5,4,2,8]=>0101110=>2
[6,8,1,3,7,5,4,2]=>0100111=>2
[7,1,3,5,6,4,2,8]=>1000110=>5
[7,3,1,6,4,5,2,8]=>1101010=>7
[7,4,2,6,5,1,3,8]=>1101100=>7
[7,4,6,3,1,5,2,8]=>1011010=>6
[7,2,4,1,5,3,6,8]=>1010100=>7
[7,2,3,5,4,1,6,8]=>1001100=>6
[6,8,1,2,3,4,7,5]=>0100001=>4
[1,5,7,2,3,8,6,4]=>0010011=>1
[5,1,8,2,3,6,7,4]=>1010001=>6
[5,8,2,3,7,6,4,1]=>0100111=>2
[6,2,8,1,3,7,4,5]=>1010010=>6
[6,8,2,3,5,4,7,1]=>0100101=>2
[6,8,2,4,1,5,7,3]=>0101001=>3
[6,8,3,1,2,4,7,5]=>0110001=>4
[2,6,4,1,5,7,3,8]=>0110010=>4
[2,6,3,5,7,1,4,8]=>0100100=>5
[2,5,1,7,8,3,6,4]=>0100101=>2
[2,5,3,6,8,4,7,1]=>0100101=>2
[2,1,4,7,8,5,6,3]=>1000101=>5
[2,4,7,6,8,5,1,3]=>0010110=>2
[2,5,3,7,6,1,8,4]=>0101101=>2
[2,5,7,8,1,4,6,3]=>0001001=>1
[3,5,7,4,1,6,2,8]=>0011010=>2
[5,3,4,1,8,6,7,2]=>1010101=>4
[5,2,8,4,6,1,7,3]=>1010101=>4
[5,2,1,8,6,3,7,4]=>1101101=>5
[4,2,8,6,5,3,7,1]=>1011101=>4
[4,2,8,5,7,6,3,1]=>1010111=>3
[1,4,2,7,5,8,6,3]=>0101011=>1
[4,1,8,6,7,5,3,2]=>1010111=>3
[5,3,8,7,6,2,4,1]=>1011101=>4
[5,8,4,7,6,2,1,3]=>0101110=>2
[5,8,7,4,3,6,1,2]=>0111010=>3
[6,4,8,3,1,7,2,5]=>1011010=>6
[6,4,2,8,7,1,3,5]=>1101100=>7
[6,3,8,7,2,5,1,4]=>1011010=>6
[5,8,3,7,1,6,4,2]=>0101011=>1
[5,1,3,8,6,7,2,4]=>1001010=>5
[1,5,3,7,8,6,2,4]=>0100110=>3
[1,5,7,6,4,2,8,3]=>0011101=>1
[5,8,7,4,1,6,2,3]=>0111010=>3
[6,4,8,1,2,7,3,5]=>1010010=>6
[6,8,5,1,2,3,7,4]=>0110001=>4
[6,8,5,2,4,3,7,1]=>0110101=>3
[6,8,5,3,1,2,7,4]=>0111001=>3
[4,5,1,2,7,6,3,8]=>0100110=>3
[4,5,1,2,6,8,7,3]=>0100011=>3
[3,5,6,1,8,4,7,2]=>0010101=>1
[3,5,7,1,2,8,6,4]=>0010011=>1
[3,6,2,7,5,1,4,8]=>0101100=>3
[4,2,6,1,7,3,5,8]=>1010100=>7
[4,6,3,1,2,7,5,8]=>0110010=>4
[4,5,3,1,7,6,2,8]=>0110110=>3
[4,2,5,7,1,6,3,8]=>1001010=>5
[3,5,2,7,8,1,6,4]=>0100101=>2
[3,1,4,7,5,6,2,8]=>1001010=>5
[3,4,6,5,8,7,1,2]=>0010110=>2
[3,1,4,5,8,6,7,2]=>1000101=>5
[3,4,6,8,5,2,7,1]=>0001101=>1
[3,5,6,2,8,4,7,1]=>0010101=>1
[4,2,5,6,1,8,7,3]=>1001011=>4
[4,5,3,1,6,8,7,2]=>0110011=>2
[2,1,7,5,8,6,4,3]=>1010111=>3
[1,2,7,5,3,8,6,4]=>0011011=>1
[4,1,2,7,3,8,6,5]=>1001011=>4
[6,4,1,7,5,2,3,8]=>1101100=>7
[6,1,3,7,5,2,4,8]=>1001100=>6
[3,1,2,6,8,5,4,7]=>1000110=>5
[3,7,1,2,5,4,8,6]=>0100101=>2
[1,3,7,2,4,8,6,5]=>0010011=>1
[2,4,1,7,8,6,5,3]=>0100111=>2
[3,4,7,5,1,8,6,2]=>0011011=>1
[2,7,4,1,5,8,6,3]=>0110011=>2
[2,3,7,1,5,8,6,4]=>0010011=>1
[5,2,8,1,3,7,4,6]=>1010010=>6
[2,1,6,8,3,4,7,5]=>1001001=>5
[2,6,8,3,1,5,7,4]=>0011001=>2
[2,8,6,4,1,5,7,3]=>0111001=>3
[3,6,4,8,5,1,7,2]=>0101101=>2
[6,3,7,4,5,1,8,2]=>1010101=>4
[2,6,3,7,5,8,1,4]=>0101010=>4
[5,2,1,7,8,3,4,6]=>1100100=>7
[4,7,2,3,6,8,1,5]=>0100010=>4
[5,2,7,3,6,8,1,4]=>1010010=>6
[5,7,4,6,2,8,1,3]=>0101010=>4
[5,7,3,4,6,1,8,2]=>0100101=>2
[5,3,8,4,6,1,7,2]=>1010101=>4
[8,5,2,4,1,6,7,3]=>1101001=>6
[8,2,3,5,1,6,7,4]=>1001001=>5
[4,2,8,3,6,7,1,5]=>1010010=>6
[2,4,8,1,7,3,5,6]=>0010100=>3
[8,4,1,3,6,2,5,7]=>1100100=>7
[4,8,3,1,7,2,5,6]=>0110100=>4
[5,2,8,4,7,1,6,3]=>1010101=>4
[5,8,4,7,3,1,6,2]=>0101101=>2
[4,6,8,3,1,7,5,2]=>0011011=>1
[6,3,8,2,7,1,5,4]=>1010101=>4
[6,3,1,8,2,4,7,5]=>1101001=>6
[5,3,8,1,2,6,4,7]=>1010010=>6
[5,7,4,1,6,2,3,8]=>0110100=>4
[8,5,4,1,2,6,3,7]=>1110010=>7
[5,1,8,4,2,7,3,6]=>1011010=>6
[1,6,2,8,5,3,7,4]=>0101101=>2
[6,8,5,3,1,7,4,2]=>0111011=>2
[8,4,5,1,2,6,3,7]=>1010010=>6
[5,6,3,7,1,2,4,8]=>0101000=>5
[1,6,3,7,2,8,4,5]=>0101010=>4
[6,3,2,7,8,5,1,4]=>1100110=>6
[4,5,7,8,3,1,6,2]=>0001101=>1
[4,7,2,5,8,1,6,3]=>0100101=>2
[8,1,3,4,6,2,5,7]=>1000100=>6
[3,8,2,4,6,7,1,5]=>0100010=>4
[3,5,6,8,2,7,1,4]=>0001010=>2
[2,4,5,6,8,1,7,3]=>0000101=>1
[4,8,3,5,6,1,7,2]=>0100101=>2
[5,6,2,3,7,8,1,4]=>0100010=>4
[5,8,7,3,4,1,2,6]=>0110100=>4
[6,8,7,3,4,1,2,5]=>0110100=>4
[6,8,4,7,1,5,3,2]=>0101011=>1
[6,8,4,7,2,5,3,1]=>0101011=>1
[5,4,8,7,2,6,3,1]=>1011011=>3
[5,4,8,7,1,6,3,2]=>1011011=>3
[5,3,8,7,6,1,2,4]=>1011100=>5
[4,3,8,7,6,1,2,5]=>1011100=>5
[4,8,3,7,5,1,2,6]=>0101100=>3
[8,3,4,6,5,1,2,7]=>1001100=>6
[3,8,4,7,5,1,2,6]=>0101100=>3
[3,4,8,7,6,1,2,5]=>0011100=>3
[3,5,8,7,6,1,2,4]=>0011100=>3
[4,5,8,7,6,1,2,3]=>0011100=>3
[4,5,8,7,1,6,3,2]=>0011011=>1
[4,5,8,7,2,6,3,1]=>0011011=>1
[3,5,8,2,7,6,4,1]=>0010111=>1
[3,5,8,1,7,6,4,2]=>0010111=>1
[2,5,8,1,7,6,4,3]=>0010111=>1
[2,5,8,7,1,6,3,4]=>0011010=>2
[2,4,8,7,1,6,3,5]=>0011010=>2
[2,8,4,7,1,5,3,6]=>0101010=>4
[8,2,4,6,1,5,3,7]=>1001010=>5
[8,1,4,6,2,5,3,7]=>1001010=>5
[1,8,4,7,2,5,3,6]=>0101010=>4
[1,4,8,7,2,6,3,5]=>0011010=>2
[1,5,8,7,2,6,3,4]=>0011010=>2
[1,5,8,2,7,6,4,3]=>0010111=>1
[2,5,8,3,7,6,4,1]=>0010111=>1
[1,4,2,8,7,6,5,3]=>0101111=>1
[1,3,8,2,7,6,4,5]=>0010110=>2
[1,8,3,2,7,5,4,6]=>0110110=>3
[8,1,3,2,6,5,4,7]=>1010110=>5
[8,2,3,1,6,5,4,7]=>1010110=>5
[2,8,3,1,7,5,4,6]=>0110110=>3
[2,3,8,1,7,6,4,5]=>0010110=>2
[3,4,1,8,7,6,5,2]=>0101111=>1
[4,3,1,8,7,6,5,2]=>1101111=>3
[4,2,1,8,7,6,5,3]=>1101111=>3
[3,8,2,1,7,5,4,6]=>0110110=>3
[8,3,2,1,6,5,4,7]=>1110110=>7
[8,4,2,6,1,5,3,7]=>1101010=>7
[4,2,8,7,1,6,3,5]=>1011010=>6
[5,2,8,7,1,6,3,4]=>1011010=>6
[5,2,8,1,7,6,4,3]=>1010111=>3
[5,3,8,1,7,6,4,2]=>1010111=>3
[5,3,8,2,7,6,4,1]=>1010111=>3
[6,8,3,2,7,5,4,1]=>0110111=>1
[6,8,3,1,7,5,4,2]=>0110111=>1
[6,8,2,1,7,5,4,3]=>0110111=>1
[6,8,2,7,1,5,3,4]=>0101010=>4
[6,8,7,2,1,4,3,5]=>0111010=>3
[8,5,6,1,2,4,3,7]=>1010010=>6
[5,8,7,1,2,4,3,6]=>0110010=>4
[6,8,1,2,7,5,4,3]=>0100111=>2
[6,8,2,3,7,5,4,1]=>0100111=>2
[5,2,8,3,7,6,4,1]=>1010111=>3
[5,1,8,3,7,6,4,2]=>1010111=>3
[5,1,8,7,2,6,3,4]=>1011010=>6
[4,1,8,7,2,6,3,5]=>1011010=>6
[4,8,1,7,2,5,3,6]=>0101010=>4
[8,4,1,6,2,5,3,7]=>1101010=>7
[8,3,1,2,6,5,4,7]=>1100110=>6
[3,8,1,2,7,5,4,6]=>0100110=>3
[3,1,8,2,7,6,4,5]=>1010110=>5
[3,1,2,8,7,6,5,4]=>1001111=>3
[4,1,3,8,7,6,5,2]=>1001111=>3
[3,1,4,8,7,6,5,2]=>1001111=>3
[2,1,8,3,7,6,4,5]=>1010110=>5
[2,8,1,3,7,5,4,6]=>0100110=>3
[8,2,1,3,6,5,4,7]=>1100110=>6
[8,1,2,3,6,5,4,7]=>1000110=>5
[1,8,2,3,7,5,4,6]=>0100110=>3
[1,2,8,3,7,6,4,5]=>0010110=>2
[1,4,3,6,8,2,5,7]=>0100100=>5
[3,1,6,2,5,8,4,7]=>1010010=>6
[3,5,1,8,2,4,7,6]=>0101001=>3
[1,4,5,2,8,3,7,6]=>0010101=>1
[1,4,2,6,5,8,3,7]=>0101010=>4
[1,5,4,2,6,8,3,7]=>0110010=>4
[3,1,6,5,8,2,4,7]=>1010100=>7
[1,6,4,2,5,8,3,7]=>0110010=>4
[1,5,2,6,4,8,3,7]=>0101010=>4
[1,2,6,5,4,8,3,7]=>0011010=>2
[1,2,5,4,7,3,8,6]=>0010101=>1
[4,1,2,6,3,8,7,5]=>1001011=>4
[7,1,5,4,2,8,3,6]=>1011010=>6
[1,4,7,5,2,8,3,6]=>0011010=>2
[7,1,3,5,2,8,4,6]=>1001010=>5
[7,2,5,1,8,3,4,6]=>1010100=>7
[1,4,5,2,8,7,3,6]=>0010110=>2
[1,6,4,2,8,3,7,5]=>0110101=>3
[1,4,2,8,3,7,6,5]=>0101011=>1
[1,2,5,3,8,7,6,4]=>0010111=>1
[1,2,8,6,5,3,7,4]=>0011101=>1
[1,5,2,8,6,3,7,4]=>0101101=>2
[1,6,4,2,8,7,3,5]=>0110110=>3
[6,2,1,8,7,3,4,5]=>1101100=>7
[7,6,2,1,8,3,4,5]=>1110100=>7
[7,3,1,6,2,8,4,5]=>1101010=>7
[1,7,6,4,2,8,3,5]=>0111010=>3
[1,7,5,2,6,3,8,4]=>0110101=>3
[1,6,2,7,5,3,8,4]=>0101101=>2
[1,2,7,6,5,3,8,4]=>0011101=>1
[1,2,6,5,3,8,7,4]=>0011011=>1
[1,5,2,6,3,8,7,4]=>0101011=>1
[1,5,2,7,6,3,8,4]=>0101101=>2
[1,6,5,2,7,3,8,4]=>0110101=>3
[1,5,7,4,2,8,3,6]=>0011010=>2
[4,1,2,8,6,3,7,5]=>1001101=>4
[3,1,8,6,2,4,7,5]=>1011001=>5
[4,3,7,1,8,2,5,6]=>1010100=>7
[8,3,1,6,2,4,7,5]=>1101001=>6
[7,1,8,3,2,4,6,5]=>1011001=>5
[1,8,7,3,2,4,6,5]=>0111001=>3
[1,4,2,8,7,3,6,5]=>0101101=>2
[1,7,4,2,8,3,6,5]=>0110101=>3
[8,1,5,4,2,7,3,6]=>1011010=>6
[1,4,8,5,2,7,3,6]=>0011010=>2
[8,5,3,1,7,2,4,6]=>1110100=>7
[8,6,2,1,7,3,4,5]=>1110100=>7
[1,8,6,4,2,7,3,5]=>0111010=>3
[1,8,5,2,6,3,7,4]=>0110101=>3
[1,5,2,7,3,8,6,4]=>0101011=>1
[1,2,8,5,3,7,6,4]=>0011011=>1
[1,2,6,3,8,7,5,4]=>0010111=>1
[1,2,7,6,3,8,5,4]=>0011011=>1
[1,6,2,7,3,8,5,4]=>0101011=>1
[1,7,2,8,5,3,6,4]=>0101101=>2
[1,7,4,2,8,6,3,5]=>0110110=>3
[7,1,8,3,2,6,4,5]=>1011010=>6
[7,2,1,8,6,3,4,5]=>1101100=>7
[1,8,7,3,2,6,4,5]=>0111010=>3
[1,4,2,8,7,6,3,5]=>0101110=>2
[1,2,8,7,5,3,6,4]=>0011101=>1
[1,2,8,6,3,7,5,4]=>0011011=>1
[1,2,7,3,8,6,5,4]=>0010111=>1
[4,1,7,3,6,5,8,2]=>1010101=>4
[5,1,8,7,6,2,4,3]=>1011101=>4
[8,1,7,6,3,4,5,2]=>1011001=>5
[5,7,8,6,2,4,1,3]=>0011010=>2
[5,7,1,6,2,4,3,8]=>0101010=>4
[6,4,1,5,2,7,3,8]=>1101010=>7
[8,1,4,5,3,7,6,2]=>1001011=>4
[6,1,4,5,3,8,7,2]=>1001011=>4
[6,1,4,5,3,7,8,2]=>1001001=>5
[5,1,7,8,6,2,4,3]=>1001101=>4
[6,1,4,8,3,5,7,2]=>1001001=>5
[7,1,8,6,3,4,5,2]=>1011001=>5
[7,1,4,5,3,8,6,2]=>1001011=>4
[7,1,4,5,3,6,8,2]=>1001001=>5
[8,1,4,5,3,6,7,2]=>1001001=>5
[7,4,1,5,2,6,3,8]=>1101010=>7
[6,3,5,7,2,1,4,8]=>1001100=>6
[6,3,5,8,2,1,7,4]=>1001101=>4
[6,3,5,7,2,1,8,4]=>1001101=>4
[8,4,5,7,3,6,1,2]=>1001010=>5
[6,4,5,8,3,7,2,1]=>1001011=>4
[5,8,7,6,2,4,1,3]=>0111010=>3
[5,4,8,6,3,1,7,2]=>1011101=>4
[5,4,1,8,2,3,7,6]=>1101001=>6
[5,8,1,6,2,4,3,7]=>0101010=>4
[8,4,1,5,2,6,3,7]=>1101010=>7
[6,3,5,8,2,1,4,7]=>1001100=>6
[2,3,4,1,8,6,5,7]=>0010110=>2
[8,3,5,6,2,1,4,7]=>1001100=>6
[2,3,8,5,1,4,7,6]=>0011001=>2
[2,3,8,6,1,5,7,4]=>0011001=>2
[2,8,6,7,1,3,5,4]=>0101001=>3
[8,3,5,7,2,1,6,4]=>1001101=>4
[2,3,8,5,6,1,7,4]=>0010101=>1
[7,4,5,6,3,1,8,2]=>1001101=>4
[8,4,5,6,3,1,7,2]=>1001101=>4
[7,3,5,6,2,8,1,4]=>1001010=>5
[7,3,5,8,2,1,6,4]=>1001101=>4
[7,3,5,6,2,1,4,8]=>1001100=>6
[2,7,6,5,1,3,4,8]=>0111000=>4
[2,7,6,8,1,3,5,4]=>0101001=>3
[2,7,6,5,8,3,1,4]=>0110110=>3
[8,7,5,6,1,4,2,3]=>1101010=>7
[2,6,4,1,8,5,7,3]=>0110101=>3
[2,6,1,3,8,5,7,4]=>0100101=>2
[2,7,1,3,6,5,8,4]=>0100101=>2
[2,7,6,8,4,3,1,5]=>0101110=>2
[2,7,6,1,8,3,4,5]=>0110100=>4
[2,7,6,1,4,3,5,8]=>0110100=>4
[7,3,5,1,2,8,4,6]=>1010010=>6
[8,4,1,5,2,3,7,6]=>1101001=>6
[7,8,1,6,3,4,2,5]=>0101010=>4
[6,4,1,8,3,2,7,5]=>1101101=>5
[2,3,8,6,4,1,7,5]=>0011101=>1
[2,8,6,7,4,3,1,5]=>0101110=>2
[8,3,5,7,2,4,1,6]=>1001010=>5
[2,3,4,1,8,7,5,6]=>0010110=>2
[2,8,6,1,7,3,4,5]=>0110100=>4
[2,3,8,1,6,4,7,5]=>0010101=>1
[2,3,8,1,4,5,7,6]=>0010001=>2
[2,8,6,1,4,3,5,7]=>0110100=>4
[1,2,3,4,5,6,7,9,8]=>00000001=>1
[2,1,3,4,5,6,7,8,9]=>10000000=>8
[1,2,3,4,5,6,7,8,10,9]=>000000001=>1
[2,1,3,4,5,6,7,8,9,10]=>100000000=>9
[9,1,2,3,4,5,6,7,10,8]=>100000001=>8
[1,8,2,3,4,5,6,9,7]=>01000001=>5
[7,1,2,3,4,5,6,9,8]=>10000001=>7
[2,1,9,3,4,5,6,7,8]=>10100000=>8
[2,8,1,3,4,5,6,7,9]=>01000000=>7
[2,10,1,3,4,5,6,7,8,9]=>010000000=>8
[2,1,3,4,5,6,7,8,9,10,11]=>1000000000=>10
[8,4,3,6,5,1,7,2]=>1101101=>5
[8,5,6,3,4,1,7,2]=>1010101=>4
[8,6,5,4,3,1,7,2]=>1111101=>6
[1,7,6,5,4,2,3,8]=>0111100=>3
[1,8,6,5,2,7,3,4]=>0111010=>3
[8,7,5,4,1,6,3,2]=>1111011=>5
[7,8,5,4,1,3,6,2]=>0111001=>3
[6,8,5,4,2,1,7,3]=>0111101=>2
[5,8,6,2,4,1,7,3]=>0110101=>3
[4,8,2,6,5,1,7,3]=>0101101=>2
[3,2,8,6,5,1,7,4]=>1011101=>4
[3,2,1,7,6,4,5,8]=>1101100=>7
[4,1,3,7,6,2,5,8]=>1001100=>6
[5,1,7,3,6,2,4,8]=>1010100=>7
[6,1,7,5,3,2,4,8]=>1011100=>5
[7,1,6,5,2,4,3,8]=>1011010=>6
[8,1,6,5,2,3,7,4]=>1011001=>5
[1,2,7,6,3,4,5,8]=>0011000=>4
[1,2,8,3,7,4,5,6]=>0010100=>3
[8,1,7,2,6,3,5,4]=>1010101=>4
[7,1,8,2,6,4,3,5]=>1010110=>5
[6,1,8,2,4,7,3,5]=>1010010=>6
[5,1,8,3,2,7,4,6]=>1011010=>6
[4,1,3,8,2,7,5,6]=>1001010=>5
[3,2,1,8,4,7,5,6]=>1101010=>7
[3,2,8,7,1,6,5,4]=>1011011=>3
[4,8,2,7,1,6,5,3]=>0101011=>1
[5,8,7,2,1,6,4,3]=>0111011=>2
[6,8,7,1,3,5,4,2]=>0110011=>2
[7,8,6,1,5,3,4,2]=>0110101=>3
[8,7,6,1,5,4,3,2]=>1110111=>4
[1,8,7,2,6,5,3,4]=>0110110=>3
[1,7,8,2,5,6,3,4]=>0010010=>3
[8,6,7,1,4,5,3,2]=>1010011=>5
[7,6,8,1,4,3,5,2]=>1010101=>4
[6,5,8,3,2,1,7,4]=>1011101=>4
[7,5,8,3,1,4,6,2]=>1011001=>5
[8,5,7,3,1,6,4,2]=>1011011=>3
[1,6,8,4,2,7,3,5]=>0011010=>2
[1,5,4,8,2,7,3,6]=>0101010=>4
[8,4,3,7,1,6,5,2]=>1101011=>5
[7,4,3,8,1,5,6,2]=>1101001=>6
[6,4,3,1,5,2,7,8]=>1110100=>7
[7,4,3,1,2,6,5,8]=>1110010=>7
[8,4,3,1,2,5,7,6]=>1110001=>6
[1,5,4,2,3,6,7,8]=>0110000=>5
[8,5,1,4,2,3,7,6]=>1101001=>6
[7,5,1,4,2,6,3,8]=>1101010=>7
[6,5,1,4,3,2,7,8]=>1101100=>7
[5,6,1,3,4,2,7,8]=>0100100=>5
[4,6,2,1,5,3,7,8]=>0110100=>4
[3,2,6,1,5,4,7,8]=>1010100=>7
[3,2,7,1,4,6,5,8]=>1010010=>6
[4,7,2,1,3,6,5,8]=>0110010=>4
[5,7,1,3,2,6,4,8]=>0101010=>4
[6,7,1,2,4,5,3,8]=>0100010=>4
[7,6,1,2,5,4,3,8]=>1100110=>6
[8,6,1,2,5,3,7,4]=>1100101=>6
[1,7,2,3,6,4,5,8]=>0100100=>5
[8,7,1,2,3,6,5,4]=>1100011=>5
[7,8,1,2,3,5,6,4]=>0100001=>4
[6,8,1,2,4,3,7,5]=>0100101=>2
[5,8,1,3,2,4,7,6]=>0101001=>3
[4,8,2,1,3,5,7,6]=>0110001=>4
[3,2,8,1,4,5,7,6]=>1010001=>6
[4,1,3,2,5,6,7,8]=>1010000=>7
[5,1,2,4,3,6,7,8]=>1001000=>7
[6,1,2,3,5,4,7,8]=>1000100=>6
[7,1,2,3,4,6,5,8]=>1000010=>6
[8,1,2,3,4,5,7,6]=>1000001=>6
[6,7,3,8,5,1,2,4]=>0101100=>3
[6,7,4,5,1,8,3,2]=>0101011=>1
[5,4,7,6,8,1,2,3]=>1010100=>7
[5,3,7,8,6,1,2,4]=>1001100=>6
[3,8,4,5,7,1,2,6]=>0100100=>5
[3,4,8,6,7,1,2,5]=>0010100=>3
[4,5,6,7,1,8,3,2]=>0001011=>1
[3,5,6,2,7,4,8,1]=>0010101=>1
[3,5,6,1,7,8,4,2]=>0010011=>1
[2,5,6,1,8,7,4,3]=>0010111=>1
[2,5,6,8,1,7,3,4]=>0001010=>2
[8,2,4,5,1,6,3,7]=>1001010=>5
[1,4,8,6,2,3,7,5]=>0011001=>2
[1,5,6,8,2,3,7,4]=>0001001=>1
[1,5,6,2,8,4,7,3]=>0010101=>1
[2,5,6,3,4,7,8,1]=>0010001=>2
[1,4,2,6,8,5,7,3]=>0100101=>2
[8,1,3,2,5,4,6,7]=>1010100=>7
[8,2,3,1,5,6,4,7]=>1010010=>6
[2,8,3,1,5,7,4,6]=>0110010=>4
[2,4,1,6,8,7,5,3]=>0100111=>2
[3,4,1,6,7,8,5,2]=>0100011=>3
[4,3,1,7,6,8,5,2]=>1101011=>5
[5,2,7,8,1,6,3,4]=>1001010=>5
[5,3,7,2,6,4,8,1]=>1010101=>4
[6,7,3,1,5,8,4,2]=>0110011=>2
[6,7,2,1,8,5,4,3]=>0110111=>1
[6,7,2,8,1,5,3,4]=>0101010=>4
[6,7,8,2,1,4,3,5]=>0011010=>2
[6,7,1,2,8,4,5,3]=>0100101=>2
[6,7,1,3,4,8,5,2]=>0100011=>3
[5,2,7,3,4,6,8,1]=>1010001=>6
[5,1,7,3,4,8,6,2]=>1010011=>5
[5,1,7,8,2,3,6,4]=>1001001=>5
[4,1,8,7,2,3,6,5]=>1011001=>5
[3,8,1,2,7,4,5,6]=>0100100=>5
[4,1,3,7,5,8,6,2]=>1001011=>4
[3,1,4,5,7,8,6,2]=>1000011=>5
[2,1,8,3,4,7,6,5]=>1010011=>5
[8,2,1,3,4,6,5,7]=>1100010=>7
[1,8,2,3,4,5,7,6]=>0100001=>4
[1,2,8,3,4,6,7,5]=>0010001=>2
[4,2,1,6,5,8,7,3]=>1101011=>5
[5,2,6,1,4,8,7,3]=>1010011=>5
[5,2,6,4,1,8,7,3]=>1011011=>3
[5,2,7,4,8,1,6,3]=>1010101=>4
[5,2,7,4,8,6,1,3]=>1010110=>5
[5,7,2,3,8,6,1,4]=>0100110=>3
[5,7,2,3,8,1,6,4]=>0100101=>2
[5,6,2,3,1,8,7,4]=>0101011=>1
[5,6,2,1,3,8,7,4]=>0110011=>2
[5,1,6,4,2,8,7,3]=>1011011=>3
[5,6,1,3,2,8,7,4]=>0101011=>1
[5,6,3,1,2,8,7,4]=>0110011=>2
[5,6,3,2,1,8,7,4]=>0111011=>2
[5,7,3,2,8,1,6,4]=>0110101=>3
[5,7,3,2,8,6,1,4]=>0110110=>3
[6,7,3,8,2,1,5,4]=>0101101=>2
[6,7,3,8,1,2,5,4]=>0101001=>3
[5,7,3,1,8,2,6,4]=>0110101=>3
[5,7,1,3,8,2,6,4]=>0100101=>2
[5,1,7,4,8,2,6,3]=>1010101=>4
[1,5,7,4,8,3,6,2]=>0010101=>1
[1,5,7,4,8,6,3,2]=>0010111=>1
[5,1,7,4,8,6,2,3]=>1010110=>5
[5,7,1,3,8,6,2,4]=>0100110=>3
[5,7,3,1,8,6,2,4]=>0110110=>3
[6,7,3,8,1,5,2,4]=>0101010=>4
[6,7,3,8,5,2,1,4]=>0101110=>2
[6,7,8,3,1,4,2,5]=>0011010=>2
[6,7,1,8,3,5,2,4]=>0101010=>4
[6,1,7,8,4,5,2,3]=>1001010=>5
[1,6,7,8,4,5,3,2]=>0001011=>1
[1,6,7,8,4,3,5,2]=>0001101=>1
[6,1,7,8,4,2,5,3]=>1001101=>4
[6,7,1,8,3,2,5,4]=>0101101=>2
[5,7,2,1,8,3,6,4]=>0110101=>3
[6,7,2,8,1,3,5,4]=>0101001=>3
[6,7,2,8,3,1,5,4]=>0101101=>2
[6,7,2,8,3,5,1,4]=>0101010=>4
[6,2,7,8,4,5,1,3]=>1001010=>5
[6,2,7,8,4,1,5,3]=>1001101=>4
[6,2,7,8,1,4,5,3]=>1001001=>5
[5,2,7,1,8,4,6,3]=>1010101=>4
[4,2,1,7,8,5,6,3]=>1100101=>6
[4,1,2,7,8,6,5,3]=>1000111=>4
[6,2,7,8,1,5,4,3]=>1001011=>4
[6,2,7,8,5,1,4,3]=>1001101=>4
[6,2,7,8,5,4,1,3]=>1001110=>4
[6,7,2,8,5,3,1,4]=>0101110=>2
[5,7,2,1,8,6,3,4]=>0110110=>3
[5,7,1,2,8,6,3,4]=>0100110=>3
[5,1,7,2,8,6,4,3]=>1010111=>3
[1,5,7,3,8,6,4,2]=>0010111=>1
[1,6,7,8,3,5,4,2]=>0001011=>1
[6,1,7,8,2,5,4,3]=>1001011=>4
[6,7,1,8,2,5,3,4]=>0101010=>4
[6,7,8,2,4,1,3,5]=>0010100=>3
[6,7,8,2,4,3,1,5]=>0010110=>2
[6,7,1,8,5,2,3,4]=>0101100=>3
[6,1,7,8,5,2,4,3]=>1001101=>4
[1,6,7,8,5,3,4,2]=>0001101=>1
[6,1,7,8,5,4,2,3]=>1001110=>4
[6,7,1,8,5,3,2,4]=>0101110=>2
[6,7,8,4,1,3,2,5]=>0011010=>2
[6,3,8,5,2,7,4,1]=>1011011=>3
[6,5,2,8,4,7,3,1]=>1101011=>5
[6,3,4,5,8,7,2,1]=>1000111=>4
[3,8,4,7,5,2,1,6]=>0101110=>2
[5,8,1,4,7,2,3,6]=>0100100=>5
[5,6,1,4,8,7,3,2]=>0100111=>2
[3,6,4,8,5,7,1,2]=>0101010=>4
[5,1,4,8,6,3,7,2]=>1001101=>4
[3,4,7,1,8,6,5,2]=>0010111=>1
[6,3,8,4,2,7,1,5]=>1011010=>6
[3,6,8,7,1,4,2,5]=>0011010=>2
[5,3,7,1,6,8,2,4]=>1010010=>6
[4,3,8,5,6,7,2,1]=>1010011=>5
[5,8,1,7,6,2,4,3]=>0101101=>2
[4,6,1,2,7,8,5,3]=>0100011=>3
[3,6,4,2,8,7,5,1]=>0110111=>1
[6,3,7,5,2,8,1,4]=>1011010=>6
[6,5,2,7,4,8,1,3]=>1101010=>7
[5,7,1,4,8,3,2,6]=>0100110=>3
[7,8,3,5,1,4,6,2]=>0101001=>3
[5,8,1,4,6,7,2,3]=>0100010=>4
[6,5,8,4,3,7,2,1]=>1011011=>3
[6,3,7,4,2,8,5,1]=>1011011=>3
[8,7,1,6,2,4,5,3]=>1101001=>6
[3,8,6,7,1,4,5,2]=>0101001=>3
[5,3,8,7,4,1,2,6]=>1011100=>5
[4,3,8,7,1,5,6,2]=>1011001=>5
[8,3,6,1,2,5,7,4]=>1010001=>6
[5,6,1,8,7,3,2,4]=>0101110=>2
[5,4,2,7,3,6,8,1]=>1101001=>6
[7,5,3,6,4,2,8,1]=>1101101=>5
[6,4,1,5,3,8,2,7]=>1101010=>7
[8,2,6,3,4,7,5,1]=>1010011=>5
[7,2,6,3,5,4,8,1]=>1010101=>4
[6,2,7,4,3,5,8,1]=>1011001=>5
[3,7,6,4,5,2,8,1]=>0110101=>3
[2,7,6,5,3,4,8,1]=>0111001=>3
[6,5,4,3,1,8,2,7]=>1111010=>7
[8,6,5,4,2,7,3,1]=>1111011=>5
[8,5,4,1,7,2,6,3]=>1110101=>6
[7,5,4,1,8,3,2,6]=>1110110=>7
[1,6,5,2,8,3,4,7]=>0110100=>4
[1,6,5,3,4,8,2,7]=>0110010=>4
[5,4,6,3,1,8,2,7]=>1011010=>6
[6,5,8,4,2,7,3,1]=>1011011=>3
[5,8,2,6,4,7,3,1]=>0101011=>1
[7,8,5,3,2,6,4,1]=>0111011=>2
[6,8,3,1,7,2,5,4]=>0110101=>3
[1,8,6,3,7,5,2,4]=>0110110=>3
[8,7,5,2,6,4,3,1]=>1110111=>4
[8,7,1,6,2,5,4,3]=>1101011=>5
[2,8,1,7,3,5,6,4]=>0101001=>3
[4,8,1,3,7,2,6,5]=>0100101=>2
[4,2,8,5,7,3,6,1]=>1010101=>4
[5,1,7,6,8,3,2,4]=>1010110=>5
[6,7,3,1,8,4,2,5]=>0110110=>3
[1,7,3,8,4,5,2,6]=>0101010=>4
[1,7,2,8,5,3,4,6]=>0101100=>3
[7,6,1,8,4,3,2,5]=>1101110=>6
[8,6,1,7,4,2,5,3]=>1101101=>5
[8,1,2,7,3,4,6,5]=>1001001=>5
[7,1,2,8,3,5,4,6]=>1001010=>5
[8,2,6,1,7,3,5,4]=>1010101=>4
[8,3,1,4,7,5,6,2]=>1100101=>6
[4,2,1,5,8,3,6,7]=>1100100=>7
[5,4,3,1,6,8,2,7]=>1110010=>7
[4,7,5,6,8,3,2,1]=>0100111=>2
[6,5,4,8,2,7,3,1]=>1101011=>5
[6,5,1,8,7,4,2,3]=>1101110=>6
[8,6,4,7,5,3,2,1]=>1101111=>3
[5,1,8,3,7,6,2,4]=>1010110=>5
[5,4,8,1,7,2,6,3]=>1010101=>4
[3,6,8,2,4,7,5,1]=>0010011=>1
[5,7,3,8,2,6,4,1]=>0101011=>1
[4,7,2,8,6,3,5,1]=>0101101=>2
[2,3,8,7,4,5,6,1]=>0011001=>2
[7,2,8,6,4,3,5,1]=>1011101=>4
[2,1,8,7,5,6,3,4]=>1011010=>6
[8,2,7,6,3,5,4,1]=>1011011=>3
[8,1,7,6,5,2,4,3]=>1011101=>4
[7,1,8,6,5,3,2,4]=>1011110=>4
[1,2,8,7,6,3,4,5]=>0011100=>3
[1,3,8,7,4,6,2,5]=>0011010=>2
[5,1,6,8,7,4,2,3]=>1001110=>4
[6,8,4,7,5,3,2,1]=>0101111=>1
[6,8,7,2,5,4,3,1]=>0110111=>1
[3,8,7,6,4,5,2,1]=>0111011=>2
[2,8,7,6,5,3,4,1]=>0111101=>2
[1,8,7,6,5,4,2,3]=>0111110=>2
[5,8,6,7,3,4,1,2]=>0101010=>4
[4,8,6,7,3,5,1,2]=>0101010=>4
[3,8,6,7,4,5,1,2]=>0101010=>4
[2,8,6,7,4,5,1,3]=>0101010=>4
[1,8,6,7,4,5,2,3]=>0101010=>4
[1,8,5,7,4,6,2,3]=>0101010=>4
[3,8,5,7,4,6,1,2]=>0101010=>4
[4,8,5,7,3,6,1,2]=>0101010=>4
[7,8,3,6,4,5,1,2]=>0101010=>4
[6,8,3,7,4,5,1,2]=>0101010=>4
[5,8,3,7,4,6,1,2]=>0101010=>4
[3,7,4,8,5,6,1,2]=>0101010=>4
[4,7,3,8,5,6,1,2]=>0101010=>4
[4,7,2,8,5,6,1,3]=>0101010=>4
[4,7,1,8,5,6,2,3]=>0101010=>4
[3,7,1,8,5,6,2,4]=>0101010=>4
[3,7,2,8,5,6,1,4]=>0101010=>4
[2,7,3,8,5,6,1,4]=>0101010=>4
[2,7,4,8,5,6,1,3]=>0101010=>4
[5,8,2,7,4,6,1,3]=>0101010=>4
[6,8,2,7,4,5,1,3]=>0101010=>4
[7,8,2,6,4,5,1,3]=>0101010=>4
[7,8,1,6,4,5,2,3]=>0101010=>4
[6,8,1,7,4,5,2,3]=>0101010=>4
[5,8,1,7,4,6,2,3]=>0101010=>4
[1,7,4,8,5,6,2,3]=>0101010=>4
[1,7,3,8,5,6,2,4]=>0101010=>4
[2,8,5,6,1,7,3,4]=>0101010=>4
[1,8,5,6,2,7,3,4]=>0101010=>4
[1,7,3,8,4,6,2,5]=>0101010=>4
[4,8,1,7,3,6,2,5]=>0101010=>4
[5,8,1,7,3,6,2,4]=>0101010=>4
[6,8,1,7,3,5,2,4]=>0101010=>4
[7,8,2,6,3,5,1,4]=>0101010=>4
[6,8,2,7,3,5,1,4]=>0101010=>4
[5,8,2,7,3,6,1,4]=>0101010=>4
[4,8,2,7,3,6,1,5]=>0101010=>4
[2,7,3,8,4,6,1,5]=>0101010=>4
[3,7,2,8,4,6,1,5]=>0101010=>4
[3,7,1,8,4,6,2,5]=>0101010=>4
[1,8,4,7,3,6,2,5]=>0101010=>4
[2,8,4,7,3,6,1,5]=>0101010=>4
[3,8,4,7,2,6,1,5]=>0101010=>4
[4,8,5,7,2,6,1,3]=>0101010=>4
[3,8,5,7,2,6,1,4]=>0101010=>4
[2,8,5,7,3,6,1,4]=>0101010=>4
[1,8,5,7,3,6,2,4]=>0101010=>4
[1,8,6,7,3,5,2,4]=>0101010=>4
[2,8,6,7,3,5,1,4]=>0101010=>4
[3,8,6,7,2,5,1,4]=>0101010=>4
[4,8,6,7,2,5,1,3]=>0101010=>4
[5,8,6,7,2,4,1,3]=>0101010=>4
[6,8,5,7,1,4,2,3]=>0101010=>4
[5,8,6,7,1,4,2,3]=>0101010=>4
[4,8,6,7,1,5,2,3]=>0101010=>4
[3,8,6,7,1,5,2,4]=>0101010=>4
[1,5,2,8,6,7,3,4]=>0101010=>4
[2,5,1,8,6,7,3,4]=>0101010=>4
[2,6,1,8,5,7,3,4]=>0101010=>4
[1,6,2,8,5,7,3,4]=>0101010=>4
[3,8,5,7,1,6,2,4]=>0101010=>4
[6,8,4,7,1,5,2,3]=>0101010=>4
[7,8,4,6,1,5,2,3]=>0101010=>4
[7,8,3,6,1,5,2,4]=>0101010=>4
[6,8,3,7,1,5,2,4]=>0101010=>4
[4,8,3,7,1,6,2,5]=>0101010=>4
[3,8,4,7,1,6,2,5]=>0101010=>4
[1,6,2,8,4,7,3,5]=>0101010=>4
[2,6,1,8,4,7,3,5]=>0101010=>4
[3,7,2,6,1,8,4,5]=>0101010=>4
[3,7,1,6,2,8,4,5]=>0101010=>4
[4,8,1,6,2,7,3,5]=>0101010=>4
[5,8,1,6,2,7,3,4]=>0101010=>4
[7,8,1,5,2,6,3,4]=>0101010=>4
[7,8,2,5,1,6,3,4]=>0101010=>4
[6,8,2,5,1,7,3,4]=>0101010=>4
[5,8,2,6,1,7,3,4]=>0101010=>4
[4,8,2,6,1,7,3,5]=>0101010=>4
[1,7,3,6,2,8,4,5]=>0101010=>4
[2,7,3,6,1,8,4,5]=>0101010=>4
[1,2,3,4,5,6,7,8,9]=>00000000=>8
[1,2,3,4,5,6,8,9,7]=>00000001=>1
[1,2,3,4,5,7,8,9,6]=>00000001=>1
[1,2,3,4,6,7,8,9,5]=>00000001=>1
[1,2,3,5,6,7,8,9,4]=>00000001=>1
[1,2,4,5,6,7,8,9,3]=>00000001=>1
[1,3,4,5,6,7,8,9,2]=>00000001=>1
[1,2,3,4,5,6,7,8,9,10]=>000000000=>9
[1,2,3,4,5,6,9,8,7]=>00000011=>1
[1,2,3,4,5,6,7,9,10,8]=>000000001=>1
[1,2,3,4,5,8,7,9,6]=>00000101=>1
[1,2,3,4,5,6,8,9,10,7]=>000000001=>1
[1,2,3,4,7,6,8,9,5]=>00001001=>1
[1,2,3,4,5,7,8,9,10,6]=>000000001=>1
[1,2,3,6,5,7,8,9,4]=>00010001=>2
[1,2,3,4,6,7,8,9,10,5]=>000000001=>1
[1,2,5,4,6,7,8,9,3]=>00100001=>3
[1,2,3,5,6,7,8,9,10,4]=>000000001=>1
[1,4,3,5,6,7,8,9,2]=>01000001=>5
[1,2,4,5,6,7,8,9,10,3]=>000000001=>1
[3,2,4,5,6,7,8,9,1]=>10000001=>7
[1,3,4,5,6,7,8,9,10,2]=>000000001=>1
[6,7,4,8,3,5,1,2]=>0101010=>4
[6,7,4,5,2,8,1,3]=>0101010=>4
[5,7,4,6,2,3,1,8]=>0101010=>4
[5,7,4,6,3,8,1,2]=>0101010=>4
[5,7,4,8,3,6,1,2]=>0101010=>4
[6,8,4,5,3,7,1,2]=>0101010=>4
[5,8,4,6,3,7,1,2]=>0101010=>4
[5,6,4,8,3,7,1,2]=>0101010=>4
[5,6,3,7,2,4,1,8]=>0101010=>4
[5,6,3,7,2,8,1,4]=>0101010=>4
[5,6,3,8,2,7,1,4]=>0101010=>4
[5,6,4,8,2,7,1,3]=>0101010=>4
[5,8,4,6,2,7,1,3]=>0101010=>4
[6,8,4,5,2,7,1,3]=>0101010=>4
[7,8,4,5,2,6,1,3]=>0101010=>4
[6,8,4,5,2,3,1,7]=>0101010=>4
[5,8,4,6,2,3,1,7]=>0101010=>4
[5,6,4,8,2,3,1,7]=>0101010=>4
[5,6,3,8,2,4,1,7]=>0101010=>4
[5,6,3,4,2,8,1,7]=>0101010=>4
[4,6,3,5,2,7,1,8]=>0101010=>4
[4,6,3,5,2,8,1,7]=>0101010=>4
[4,6,3,8,2,5,1,7]=>0101010=>4
[4,8,3,6,2,5,1,7]=>0101010=>4
[5,8,3,6,2,4,1,7]=>0101010=>4
[6,8,3,5,2,4,1,7]=>0101010=>4
[7,8,3,5,2,4,1,6]=>0101010=>4
[7,8,3,5,2,6,1,4]=>0101010=>4
[5,8,3,6,2,7,1,4]=>0101010=>4
[4,8,3,6,2,7,1,5]=>0101010=>4
[4,6,3,8,2,7,1,5]=>0101010=>4
[4,6,3,7,2,8,1,5]=>0101010=>4
[4,7,3,6,2,5,1,8]=>0101010=>4
[4,7,3,6,2,8,1,5]=>0101010=>4
[4,7,3,8,2,6,1,5]=>0101010=>4
[5,7,4,8,2,6,1,3]=>0101010=>4
[5,7,3,6,2,8,1,4]=>0101010=>4
[5,7,3,6,2,4,1,8]=>0101010=>4
[6,7,3,5,2,4,1,8]=>0101010=>4
[6,7,3,5,2,8,1,4]=>0101010=>4
[6,7,4,8,2,5,1,3]=>0101010=>4
[6,7,5,8,2,4,1,3]=>0101010=>4
[6,8,5,7,2,3,1,4]=>0101010=>4
[6,7,4,8,2,3,1,5]=>0101010=>4
[6,7,3,8,2,4,1,5]=>0101010=>4
[6,7,3,4,2,8,1,5]=>0101010=>4
[5,7,3,4,2,6,1,8]=>0101010=>4
[5,7,3,4,2,8,1,6]=>0101010=>4
[5,7,4,8,2,3,1,6]=>0101010=>4
[5,8,4,7,2,3,1,6]=>0101010=>4
[6,8,4,7,2,3,1,5]=>0101010=>4
[7,8,4,6,2,3,1,5]=>0101010=>4
[7,8,3,6,2,4,1,5]=>0101010=>4
[6,8,3,7,2,4,1,5]=>0101010=>4
[5,8,3,7,2,4,1,6]=>0101010=>4
[4,8,3,7,2,5,1,6]=>0101010=>4
[4,7,3,8,2,5,1,6]=>0101010=>4
[4,7,3,5,2,8,1,6]=>0101010=>4
[4,7,3,5,2,6,1,8]=>0101010=>4
[4,5,3,7,2,6,1,8]=>0101010=>4
[4,5,3,7,2,8,1,6]=>0101010=>4
[4,5,3,8,2,7,1,6]=>0101010=>4
[4,8,3,5,2,7,1,6]=>0101010=>4
[5,8,3,4,2,7,1,6]=>0101010=>4
[6,8,3,4,2,7,1,5]=>0101010=>4
[7,8,3,4,2,6,1,5]=>0101010=>4
[6,8,3,4,2,5,1,7]=>0101010=>4
[5,8,3,4,2,6,1,7]=>0101010=>4
[4,8,3,5,2,6,1,7]=>0101010=>4
[4,5,3,8,2,6,1,7]=>0101010=>4
[4,5,3,6,2,8,1,7]=>0101010=>4
[4,7,5,2,1,8,3,6]=>0111010=>3
[4,8,5,2,1,7,6,3]=>0111011=>2
[4,6,5,2,1,3,8,7]=>0111001=>3
[5,6,4,2,3,1,8,7]=>0110101=>3
[6,4,5,3,1,2,8,7]=>1011001=>5
[5,4,6,1,3,2,8,7]=>1010101=>4
[4,6,8,1,7,3,2,5]=>0010110=>2
[4,7,8,1,6,3,5,2]=>0010101=>1
[7,4,8,1,6,5,3,2]=>1010111=>3
[5,4,8,1,3,7,6,2]=>1010011=>5
[8,4,5,3,1,7,6,2]=>1011011=>3
[5,4,7,1,3,8,2,6]=>1010010=>6
[6,4,8,1,7,5,2,3]=>1010110=>5
[5,6,8,7,2,1,3,4]=>0011100=>3
[8,5,7,6,4,2,1,3]=>1011110=>4
[8,4,6,3,7,2,1,5]=>1010110=>5
[6,3,2,8,7,4,1,5]=>1101110=>6
[2,1,6,8,7,4,3,5]=>1001110=>4
[2,1,7,8,6,4,5,3]=>1001101=>4
[7,3,2,8,6,4,5,1]=>1101101=>5
[7,6,8,5,2,4,3,1]=>1011011=>3
[5,7,8,6,2,3,1,4]=>0011010=>2
[5,8,7,6,3,2,1,4]=>0111110=>2
[6,8,7,5,3,2,4,1]=>0111101=>2
[5,8,4,2,3,7,6,1]=>0110011=>2
[7,8,4,2,6,5,3,1]=>0110111=>1
[4,8,7,2,6,3,5,1]=>0110101=>3
[4,8,6,2,7,3,1,5]=>0110110=>3
[3,6,1,8,7,4,2,5]=>0101110=>2
[3,7,1,8,6,4,5,2]=>0101101=>2
[3,8,1,6,7,5,2,4]=>0100110=>3
[3,7,1,6,8,2,5,4]=>0100101=>2
[4,7,6,2,8,1,3,5]=>0110100=>4
[6,7,4,2,8,1,5,3]=>0110101=>3
[6,8,4,2,7,5,1,3]=>0110110=>3
[2,1,8,6,7,5,3,4]=>1010110=>5
[8,3,2,6,7,5,1,4]=>1100110=>6
[8,6,4,3,7,5,1,2]=>1110110=>7
[5,8,6,7,3,1,2,4]=>0101100=>3
[6,7,5,8,1,3,4,2]=>0101001=>3
[7,6,5,8,1,4,3,2]=>1101011=>5
[8,6,5,7,4,1,3,2]=>1101101=>5
[7,6,4,3,8,1,5,2]=>1110101=>6
[7,3,2,6,8,1,5,4]=>1100101=>6
[2,1,7,6,8,3,5,4]=>1010101=>4
[7,5,6,8,1,4,2,3]=>1001010=>5
[6,5,7,8,1,2,4,3]=>1001001=>5
[8,1,3,7,4,6,5,2]=>1001011=>4
[5,2,8,7,4,6,1,3]=>1011010=>6
[1,6,2,5,4,7,3,8]=>0101010=>4
[6,2,7,5,4,8,3,1]=>1011011=>3
[8,1,3,5,4,7,6,2]=>1001011=>4
[6,1,5,4,3,8,7,2]=>1011011=>3
[6,1,8,3,4,5,7,2]=>1010001=>6
[7,1,5,3,4,8,6,2]=>1010011=>5
[7,1,4,3,5,6,8,2]=>1010001=>6
[8,1,3,4,5,6,7,2]=>1000001=>6
[1,7,2,4,5,6,3,8]=>0100010=>4
[6,3,2,7,5,1,8,4]=>1101101=>5
[8,4,7,2,5,6,1,3]=>1010010=>6
[6,5,8,2,4,7,3,1]=>1010011=>5
[8,5,2,1,4,3,7,6]=>1110101=>6
[6,5,2,8,4,1,3,7]=>1101100=>7
[5,6,2,1,4,8,3,7]=>0110010=>4
[3,6,1,8,5,2,4,7]=>0101100=>3
[1,2,6,3,5,4,7,8]=>0010100=>3
[3,4,1,2,8,6,5,7]=>0100110=>3
[4,3,1,2,6,8,5,7]=>1100010=>7
[5,8,1,6,3,2,4,7]=>0101100=>3
[6,3,8,5,2,1,4,7]=>1011100=>5
[8,3,1,5,2,4,7,6]=>1101001=>6
[3,8,2,6,1,5,7,4]=>0101001=>3
[3,8,6,7,2,1,5,4]=>0101101=>2
[8,5,6,4,2,1,7,3]=>1011101=>4
[7,2,5,8,3,1,6,4]=>1001101=>4
[1,7,5,6,3,2,4,8]=>0101100=>3
[6,1,2,3,8,5,7,4]=>1000101=>5
[7,1,2,3,6,5,8,4]=>1000101=>5
[7,2,1,3,8,6,4,5]=>1100110=>6
[1,5,7,3,2,4,6,8]=>0011000=>4
[5,2,7,3,1,8,4,6]=>1011010=>6
[5,8,2,4,1,3,7,6]=>0101001=>3
[8,7,2,6,3,4,1,5]=>1101010=>7
[4,8,1,6,3,2,7,5]=>0101101=>2
[3,1,8,6,4,2,7,5]=>1011101=>4
[8,1,6,7,4,3,2,5]=>1001110=>4
[3,5,8,7,2,4,1,6]=>0011010=>2
[4,2,1,3,7,8,5,6]=>1100010=>7
[2,4,1,3,8,7,5,6]=>0100110=>3
[2,5,8,3,1,7,4,6]=>0011010=>2
[8,6,1,3,7,2,4,5]=>1100100=>7
[2,8,1,3,6,4,7,5]=>0100101=>2
[6,8,2,3,4,1,5,7]=>0100100=>5
[5,1,8,3,2,4,6,7]=>1011000=>6
[9,8,7,6,5,4,3,2,1]=>11111111=>8
[8,9,7,6,5,4,3,2,1]=>01111111=>1
[8,7,9,6,5,4,3,2,1]=>10111111=>2
[8,7,6,9,5,4,3,2,1]=>11011111=>3
[8,7,6,5,9,4,3,2,1]=>11101111=>4
[8,7,6,5,4,9,3,2,1]=>11110111=>5
[8,7,6,5,4,3,9,2,1]=>11111011=>6
[8,7,6,5,4,3,2,9,1]=>11111101=>7
[8,7,6,5,4,3,2,1,9]=>11111110=>8
[9,10,8,7,6,5,4,3,2,1]=>011111111=>1
[7,8,9,6,5,4,3,2,1]=>00111111=>1
[9,8,10,7,6,5,4,3,2,1]=>101111111=>2
[8,6,7,9,5,4,3,2,1]=>10011111=>3
[9,8,7,10,6,5,4,3,2,1]=>110111111=>3
[8,7,5,6,9,4,3,2,1]=>11001111=>4
[9,8,7,6,10,5,4,3,2,1]=>111011111=>4
[8,7,6,4,5,9,3,2,1]=>11100111=>5
[9,8,7,6,5,10,4,3,2,1]=>111101111=>5
[8,7,6,5,3,4,9,2,1]=>11110011=>6
[9,8,7,6,5,4,10,3,2,1]=>111110111=>6
[8,7,6,5,4,2,3,9,1]=>11111001=>7
[9,8,7,6,5,4,3,10,2,1]=>111111011=>7
[8,7,6,5,4,3,1,2,9]=>11111100=>8
[9,8,7,6,5,4,3,2,10,1]=>111111101=>8
[9,8,7,6,5,4,3,2,1,10]=>111111110=>9
[1,4,2,7,8,6,3,5]=>0100110=>3
[1,6,2,4,8,5,3,7]=>0100110=>3
[1,6,2,4,7,5,3,8]=>0100110=>3
[1,7,3,8,5,2,4,6]=>0101100=>3
[1,7,3,2,8,6,4,5]=>0110110=>3
[4,2,5,7,8,6,1,3]=>1000110=>5
[7,2,3,1,8,5,6,4]=>1010101=>4
[8,2,5,1,7,3,4,6]=>1010100=>7
[6,2,1,8,3,4,7,5]=>1101001=>6
[6,2,8,3,5,1,7,4]=>1010101=>4
[6,2,4,8,5,7,1,3]=>1001010=>5
[1,3,6,4,8,5,7,2]=>0010101=>1
[1,3,6,4,7,5,8,2]=>0010101=>1
[6,2,4,7,5,8,1,3]=>1001010=>5
[6,2,1,3,7,8,4,5]=>1100010=>7
[7,8,2,1,4,3,5,6]=>0110100=>4
[7,6,4,2,3,1,8,5]=>1110101=>6
[5,7,2,3,1,6,8,4]=>0101001=>3
[7,5,4,2,6,8,1,3]=>1110010=>7
[1,7,5,3,4,6,8,2]=>0110001=>4
[8,2,5,4,6,7,1,3]=>1010010=>6
[5,2,6,3,1,8,7,4]=>1011011=>3
[8,2,6,4,3,1,7,5]=>1011101=>4
[8,2,7,4,1,3,5,6]=>1011000=>6
[1,2,8,4,3,5,6,7]=>0011000=>4
[1,7,4,2,3,5,6,8]=>0110000=>5
[6,8,4,1,3,2,5,7]=>0110100=>4
[1,8,7,4,3,2,5,6]=>0111100=>3
[1,6,3,8,2,4,7,5]=>0101001=>3
[5,3,8,1,2,7,4,6]=>1010010=>6
[5,1,8,3,2,6,4,7]=>1011010=>6
[5,7,3,1,2,6,4,8]=>0110010=>4
[1,7,5,4,2,6,3,8]=>0111010=>3
[1,5,8,2,4,6,3,7]=>0010010=>3
[1,5,8,4,2,7,3,6]=>0011010=>2
[1,4,6,2,8,3,7,5]=>0010101=>1
[5,3,1,6,7,2,4,8]=>1100100=>7
[5,3,6,1,2,8,4,7]=>1010010=>6
[1,6,3,2,7,8,4,5]=>0110010=>4
[1,7,4,5,3,8,6,2]=>0101011=>1
[6,3,4,1,2,5,8,7]=>1010001=>6
[6,3,1,4,2,7,5,8]=>1101010=>7
[1,8,3,2,4,5,6,7]=>0110000=>5
[8,6,3,2,4,1,7,5]=>1110101=>6
[8,5,3,2,6,7,1,4]=>1110010=>7
[4,5,2,6,8,1,7,3]=>0100101=>2
[4,2,5,6,7,8,1,3]=>1000010=>6
[5,2,3,6,7,1,8,4]=>1000101=>5
[6,2,3,4,1,7,8,5]=>1001001=>5
[7,2,3,1,4,5,8,6]=>1010001=>6
[8,6,1,4,3,2,5,7]=>1101100=>7
[8,3,1,6,5,2,4,7]=>1101100=>7
[3,7,5,1,8,2,4,6]=>0110100=>4
[4,1,5,2,8,7,3,6]=>1010110=>5
[8,1,2,4,6,5,3,7]=>1000110=>5
[8,1,2,5,4,6,3,7]=>1001010=>5
[8,2,6,5,1,3,4,7]=>1011000=>6
[8,3,1,6,2,5,4,7]=>1101010=>7
[8,1,2,6,4,5,3,7]=>1001010=>5
[8,1,2,5,6,4,3,7]=>1000110=>5
[8,1,2,6,5,4,3,7]=>1001110=>4
[1,7,5,4,2,8,3,6]=>0111010=>3
[5,1,4,8,2,7,3,6]=>1001010=>5
[1,4,6,8,2,7,3,5]=>0001010=>2
[1,4,7,6,2,8,3,5]=>0011010=>2
[5,1,4,7,2,8,3,6]=>1001010=>5
[1,7,4,5,2,8,3,6]=>0101010=>4
[3,7,5,1,2,8,4,6]=>0110010=>4
[5,7,2,8,1,3,4,6]=>0101000=>5
[5,2,8,7,1,3,4,6]=>1011000=>6
[4,1,5,8,2,7,3,6]=>1001010=>5
[1,4,6,2,8,7,3,5]=>0010110=>2
[1,4,2,8,6,7,3,5]=>0101010=>4
[3,1,2,6,4,8,7,5]=>1001011=>4
[2,1,7,6,3,4,8,5]=>1011001=>5
[3,1,2,7,4,6,8,5]=>1001001=>5
[1,4,7,2,6,8,3,5]=>0010010=>3
[1,2,3,6,8,5,7,4]=>0000101=>1
[5,1,4,2,7,8,3,6]=>1010010=>6
[1,4,2,7,6,8,3,5]=>0101010=>4
[1,4,2,6,8,7,3,5]=>0100110=>3
[3,1,2,8,4,6,7,5]=>1001001=>5
[3,1,2,7,6,4,8,5]=>1001101=>4
[5,3,7,1,8,2,4,6]=>1010100=>7
[1,7,4,3,2,5,8,6]=>0111001=>3
[4,8,7,2,1,3,5,6]=>0111000=>4
[1,8,7,3,4,2,5,6]=>0110100=>4
[3,1,7,8,2,6,4,5]=>1001010=>5
[1,4,2,7,8,3,6,5]=>0100101=>2
[5,2,8,1,3,4,7,6]=>1010001=>6
[2,1,8,6,3,4,7,5]=>1011001=>5
[1,4,2,6,8,3,7,5]=>0100101=>2
[1,2,3,7,8,5,6,4]=>0000101=>1
[1,2,3,7,5,8,6,4]=>0001011=>1
[1,4,2,7,3,8,6,5]=>0101011=>1
[3,1,7,2,8,6,4,5]=>1010110=>5
[2,1,7,8,3,4,6,5]=>1001001=>5
[1,2,3,8,7,5,6,4]=>0001101=>1
[10,1,2,3,4,5,6,7,8,9]=>100000000=>9
[10,1,2,3,4,5,6,9,7,8]=>100000010=>8
[10,1,2,3,4,5,9,6,7,8]=>100000100=>8
[9,1,2,3,4,10,5,6,7,8]=>100001000=>8
[10,1,2,3,9,4,5,6,7,8]=>100010000=>9
[10,1,2,9,3,4,5,6,7,8]=>100100000=>9
[9,1,10,2,3,4,5,6,7,8]=>101000000=>9
[10,9,1,2,3,4,5,6,7,8]=>110000000=>9
[11,1,2,3,4,5,6,7,8,9,10]=>1000000000=>10
[8,1,2,3,4,5,6,9,10,7]=>100000001=>8
[11,1,2,3,4,5,6,7,10,8,9]=>1000000010=>9
[7,1,2,3,4,5,10,9,6,8]=>100000110=>7
[11,1,2,3,4,5,6,10,7,8,9]=>1000000100=>9
[6,1,2,3,4,10,9,5,7,8]=>100001100=>7
[5,1,2,3,9,10,4,6,7,8]=>100001000=>8
[4,1,2,10,9,3,5,6,7,8]=>100110000=>8
[3,1,10,9,2,4,5,6,7,8]=>101100000=>8
[2,9,10,1,3,4,5,6,7,8]=>001000000=>7
[4,7,8,5,6,2,1,3]=>0010110=>2
[5,7,8,4,2,6,1,3]=>0011010=>2
[6,7,8,4,2,5,1,3]=>0011010=>2
[8,6,3,7,2,1,5,4]=>1101101=>5
[7,6,3,8,2,1,5,4]=>1101101=>5
[6,7,8,3,2,1,5,4]=>0011101=>1
[5,7,8,3,2,1,6,4]=>0011101=>1
[2,7,8,4,3,5,6,1]=>0011001=>2
[3,7,8,4,2,5,1,6]=>0011010=>2
[4,7,8,3,2,1,5,6]=>0011100=>3
[5,7,8,3,2,1,4,6]=>0011100=>3
[7,6,3,8,2,1,4,5]=>1101100=>7
[8,6,3,7,2,1,4,5]=>1101100=>7
[5,6,3,8,2,1,4,7]=>0101100=>3
[3,6,4,8,2,5,1,7]=>0101010=>4
[2,6,4,8,3,5,7,1]=>0101001=>3
[2,6,4,7,3,5,8,1]=>0101001=>3
[3,6,4,7,2,5,1,8]=>0101010=>4
[4,6,3,7,2,1,5,8]=>0101100=>3
[5,6,3,7,2,1,4,8]=>0101100=>3
[8,4,3,2,1,6,5,7]=>1111010=>7
[6,4,3,2,1,7,5,8]=>1111010=>7
[4,5,3,2,7,1,6,8]=>0110100=>4
[3,5,4,2,8,6,1,7]=>0110110=>3
[6,4,3,2,1,8,5,7]=>1111010=>7
[7,4,3,2,1,8,5,6]=>1111010=>7
[8,4,3,2,1,7,5,6]=>1111010=>7
[8,4,3,2,1,7,6,5]=>1111011=>5
[7,4,3,2,1,8,6,5]=>1111011=>5
[6,4,3,2,1,8,7,5]=>1111011=>5
[5,6,3,8,2,1,7,4]=>0101101=>2
[7,5,3,2,8,1,6,4]=>1110101=>6
[8,5,4,2,7,6,1,3]=>1110110=>7
[7,5,4,2,8,6,1,3]=>1110110=>7
[6,5,4,2,8,7,1,3]=>1110110=>7
[4,6,5,8,7,2,1,3]=>0101110=>2
[2,6,5,7,8,3,4,1]=>0100101=>2
[6,5,4,2,7,8,1,3]=>1110010=>7
[8,5,4,2,6,7,1,3]=>1110010=>7
[8,5,3,2,6,1,7,4]=>1110101=>6
[7,5,3,2,6,1,8,4]=>1110101=>6
[5,6,3,7,2,1,8,4]=>0101101=>2
[4,6,3,7,2,1,8,5]=>0101101=>2
[3,6,4,7,2,8,1,5]=>0101010=>4
[2,6,4,7,3,8,5,1]=>0101011=>1
[3,5,4,2,7,8,1,6]=>0110010=>4
[4,5,3,2,7,1,8,6]=>0110101=>3
[7,4,3,2,1,6,8,5]=>1111001=>6
[8,4,3,2,1,6,7,5]=>1111001=>6
[8,4,3,2,1,5,7,6]=>1111001=>6
[7,4,3,2,1,5,8,6]=>1111001=>6
[6,4,3,2,1,5,8,7]=>1111001=>6
[3,5,4,2,6,8,1,7]=>0110010=>4
[5,6,3,4,1,2,8,7]=>0101001=>3
[8,5,3,7,2,6,4,1]=>1101011=>5
[8,5,7,4,2,6,3,1]=>1011011=>3
[7,5,8,4,2,6,1,3]=>1011010=>6
[2,1,7,8,5,6,3,4]=>1001010=>5
[6,8,3,7,5,1,4,2]=>0101101=>2
[5,7,3,8,1,6,2,4]=>0101010=>4
[3,2,6,4,8,5,1,7]=>1010110=>5
[3,5,2,4,1,7,6,8]=>0101010=>4
[4,2,5,8,3,1,6,7]=>1001100=>6
[3,1,5,4,2,8,6,7]=>1011010=>6
[4,1,5,8,3,2,6,7]=>1001100=>6
[4,3,8,5,2,1,6,7]=>1011100=>5
[4,7,3,5,2,1,6,8]=>0101100=>3
[4,3,2,7,5,1,6,8]=>1101100=>7
[4,3,6,2,5,1,7,8]=>1010100=>7
[4,6,3,2,5,1,7,8]=>0110100=>4
[4,5,1,7,3,2,6,8]=>0101100=>3
[5,2,1,4,3,7,8,6]=>1101001=>6
[4,3,1,5,7,2,6,8]=>1100100=>7
[4,3,6,1,5,2,7,8]=>1010100=>7
[4,6,3,1,5,2,7,8]=>0110100=>4
[5,3,6,4,1,2,7,8]=>1011000=>6
[4,3,6,1,7,2,5,8]=>1010100=>7
[6,2,4,1,3,7,8,5]=>1010001=>6
[3,6,4,1,2,7,5,8]=>0110010=>4
[4,6,3,1,7,2,5,8]=>0110100=>4
[5,6,2,7,1,3,4,8]=>0101000=>5
[4,5,2,7,3,1,6,8]=>0101100=>3
[4,6,2,1,7,3,5,8]=>0110100=>4
[3,2,6,1,4,7,5,8]=>1010010=>6
[3,5,2,7,4,6,1,8]=>0101010=>4
[3,7,2,4,8,5,1,6]=>0100110=>3
[7,3,1,4,6,8,2,5]=>1100010=>7
[3,2,6,1,5,7,4,8]=>1010010=>6
[6,3,2,1,5,7,4,8]=>1110010=>7
[6,4,2,1,5,3,7,8]=>1110100=>7
[4,2,6,1,5,3,7,8]=>1010100=>7
[4,2,1,7,5,3,6,8]=>1101100=>7
[7,4,1,5,6,2,3,8]=>1100100=>7
[7,3,1,5,2,6,4,8]=>1101010=>7
[6,3,5,1,2,7,4,8]=>1010010=>6
[5,2,6,4,1,3,7,8]=>1011000=>6
[3,6,5,1,2,7,4,8]=>0110010=>4
[6,5,2,1,4,7,8,3]=>1110001=>6
[6,5,3,1,4,7,2,8]=>1110010=>7
[2,3,1,8,5,4,7,6]=>0101101=>2
[2,4,1,5,8,3,7,6]=>0100101=>2
[2,4,1,5,3,8,7,6]=>0101011=>1
[3,4,5,1,2,8,7,6]=>0010011=>1
[3,4,5,1,8,2,7,6]=>0010101=>1
[1,8,4,5,3,2,7,6]=>0101101=>2
[2,4,8,5,3,1,7,6]=>0011101=>1
[3,4,5,8,2,1,7,6]=>0001101=>1
[3,4,5,2,8,1,7,6]=>0010101=>1
[3,4,6,2,1,7,8,5]=>0011001=>2
[3,4,6,2,1,7,5,8]=>0011010=>2
[3,5,6,2,7,1,4,8]=>0010100=>3
[3,5,6,2,7,1,8,4]=>0010101=>1
[3,5,6,2,7,8,1,4]=>0010010=>3
[3,4,6,2,8,7,1,5]=>0010110=>2
[3,4,6,8,2,7,1,5]=>0001010=>2
[2,4,8,6,3,7,1,5]=>0011010=>2
[1,8,4,6,3,7,2,5]=>0101010=>4
[1,8,4,6,3,7,5,2]=>0101011=>1
[3,4,6,8,2,7,5,1]=>0001011=>1
[3,4,6,2,8,7,5,1]=>0010111=>1
[3,5,6,2,7,8,4,1]=>0010011=>1
[3,5,6,2,7,4,1,8]=>0010110=>2
[4,5,6,7,2,8,3,1]=>0001011=>1
[3,5,6,8,7,2,4,1]=>0001101=>1
[2,5,8,6,7,3,4,1]=>0010101=>1
[1,8,5,6,7,3,4,2]=>0100101=>2
[1,8,5,6,7,3,2,4]=>0100110=>3
[2,5,8,6,7,3,1,4]=>0010110=>2
[3,5,6,8,7,2,1,4]=>0001110=>2
[4,5,6,7,2,1,8,3]=>0001101=>1
[3,4,6,1,8,7,2,5]=>0010110=>2
[2,4,1,6,8,7,3,5]=>0100110=>3
[2,3,1,8,6,7,4,5]=>0101010=>4
[1,8,3,2,6,7,5,4]=>0110011=>2
[2,5,1,6,7,8,4,3]=>0100011=>3
[2,5,1,6,7,4,8,3]=>0100101=>2
[2,5,1,6,7,4,3,8]=>0100110=>3
[3,5,6,1,7,4,2,8]=>0010110=>2
[3,5,6,1,7,4,8,2]=>0010101=>1
[3,4,6,1,8,7,5,2]=>0010111=>1
[3,4,6,8,1,7,5,2]=>0001011=>1
[2,4,8,6,1,7,5,3]=>0011011=>1
[1,8,4,6,2,7,5,3]=>0101011=>1
[1,8,5,6,7,2,4,3]=>0100101=>2
[2,5,8,6,7,1,4,3]=>0010101=>1
[3,5,6,8,7,1,4,2]=>0001101=>1
[4,5,6,7,8,1,3,2]=>0000101=>1
[4,5,6,7,1,3,8,2]=>0001001=>1
[4,5,6,7,1,3,2,8]=>0001010=>2
[4,5,6,7,3,1,8,2]=>0001101=>1
[3,5,6,8,7,4,1,2]=>0001110=>2
[2,5,8,6,7,4,1,3]=>0010110=>2
[1,8,5,6,7,4,2,3]=>0100110=>3
[1,8,5,6,7,4,3,2]=>0100111=>2
[2,5,8,6,7,4,3,1]=>0010111=>1
[8,2,5,3,7,1,6,4]=>1010101=>4
[8,2,4,3,7,1,6,5]=>1010101=>4
[5,8,2,4,3,7,1,6]=>0101010=>4
[4,2,5,6,1,8,3,7]=>1001010=>5
[4,2,5,6,1,7,3,8]=>1001010=>5
[6,1,5,7,3,2,4,8]=>1001100=>6
[6,1,5,8,3,2,4,7]=>1001100=>6
[3,8,2,4,7,1,5,6]=>0100100=>5
[3,6,8,2,4,7,1,5]=>0010010=>3
[4,3,5,6,7,1,8,2]=>1000101=>5
[3,7,1,5,6,8,2,4]=>0100010=>4
[3,7,1,5,8,2,4,6]=>0100100=>5
[8,3,2,4,6,1,5,7]=>1100100=>7
[7,3,2,4,6,1,5,8]=>1100100=>7
[3,2,5,1,7,4,6,8]=>1010100=>7
[3,2,5,1,8,4,6,7]=>1010100=>7
[3,2,5,1,7,8,4,6]=>1010010=>6
[7,8,3,2,4,6,1,5]=>0110010=>4
[6,1,5,7,8,3,2,4]=>1000110=>5
[4,2,5,6,1,7,8,3]=>1001001=>5
[5,7,6,1,8,3,4,2]=>0110101=>3
[5,8,6,1,7,3,4,2]=>0110101=>3
[6,1,5,8,7,3,2,4]=>1001110=>4
[8,7,3,2,4,6,1,5]=>1110010=>7
[3,2,5,1,8,7,4,6]=>1010110=>5
[3,2,5,1,6,4,7,8]=>1010100=>7
[3,2,4,1,8,7,5,6]=>1010110=>5
[3,2,5,1,6,8,7,4]=>1010011=>5
[3,8,6,5,1,7,4,2]=>0111011=>2
[3,7,6,5,1,8,4,2]=>0111011=>2
[6,5,1,7,8,4,2,3]=>1100110=>6
[3,2,5,1,6,7,8,4]=>1010001=>6
[3,2,4,1,8,5,6,7]=>1010100=>7
[3,2,4,1,7,5,6,8]=>1010100=>7
[3,2,4,1,6,8,5,7]=>1010010=>6
[3,2,4,1,8,5,7,6]=>1010101=>4
[8,3,2,4,7,6,1,5]=>1100110=>6
[3,2,5,1,8,4,7,6]=>1010101=>4
[3,2,5,1,6,7,4,8]=>1010010=>6
[6,5,1,7,4,2,3,8]=>1101100=>7
[6,5,1,8,4,2,3,7]=>1101100=>7
[8,4,2,3,7,5,1,6]=>1100110=>6
[4,2,6,1,8,3,7,5]=>1010101=>4
[5,2,6,1,8,3,7,4]=>1010101=>4
[8,4,6,1,7,3,5,2]=>1010101=>4
[5,2,6,1,8,4,7,3]=>1010101=>4
[7,4,2,3,8,5,1,6]=>1100110=>6
[8,5,1,6,4,2,3,7]=>1101100=>7
[7,5,1,6,4,2,3,8]=>1101100=>7
[3,2,5,1,7,6,4,8]=>1010110=>5
[3,2,5,1,8,6,4,7]=>1010110=>5
[7,3,2,4,8,6,1,5]=>1100110=>6
[8,6,1,5,7,3,2,4]=>1100110=>6
[4,2,6,1,8,5,7,3]=>1010101=>4
[8,5,6,1,7,3,4,2]=>1010101=>4
[3,6,8,5,1,7,4,2]=>0011011=>1
[8,5,1,6,7,4,2,3]=>1100110=>6
[3,2,5,1,8,6,7,4]=>1010101=>4
[3,2,4,1,8,6,5,7]=>1010110=>5
[3,2,4,1,5,8,6,7]=>1010010=>6
[3,2,5,1,7,8,6,4]=>1010011=>5
[7,8,5,1,6,4,2,3]=>0110110=>3
[3,8,5,1,7,6,4,2]=>0110111=>1
[3,7,5,1,8,6,4,2]=>0110111=>1
[8,7,5,1,6,4,2,3]=>1110110=>7
[3,2,5,1,8,7,6,4]=>1010111=>3
[6,5,7,3,1,8,4,2]=>1011011=>3
[4,6,3,7,1,8,5,2]=>0101011=>1
[4,6,3,7,5,1,8,2]=>0101101=>2
[4,2,6,1,7,5,3,8]=>1010110=>5
[2,5,7,4,1,6,3,8]=>0011010=>2
[2,5,7,4,1,6,8,3]=>0011001=>2
[5,4,7,3,6,1,8,2]=>1010101=>4
[5,4,7,8,3,1,6,2]=>1001101=>4
[4,3,7,5,1,8,6,2]=>1011011=>3
[6,4,3,8,5,1,7,2]=>1101101=>5
[5,8,4,3,6,1,7,2]=>0110101=>3
[5,4,8,3,6,1,7,2]=>1010101=>4
[5,4,3,6,7,1,8,2]=>1100101=>6
[2,5,4,6,1,7,3,8]=>0101010=>4
[3,2,5,8,1,6,7,4]=>1001001=>5
[2,5,4,6,8,1,7,3]=>0100101=>2
[5,2,8,4,1,6,7,3]=>1011001=>5
[4,6,2,1,8,5,7,3]=>0110101=>3
[2,4,1,7,5,8,6,3]=>0101011=>1
[2,4,1,7,5,3,8,6]=>0101101=>2
[2,6,4,1,8,5,3,7]=>0110110=>3
[5,4,8,2,1,6,3,7]=>1011010=>6
[2,5,8,4,1,6,3,7]=>0011010=>2
[3,2,5,6,1,8,4,7]=>1001010=>5
[4,8,3,2,6,1,5,7]=>0110100=>4
[3,5,2,8,1,6,4,7]=>0101010=>4
[3,2,1,6,8,5,4,7]=>1100110=>6
[3,2,7,1,5,4,8,6]=>1010101=>4
[3,2,7,1,5,8,6,4]=>1010011=>5
[3,8,2,5,1,6,7,4]=>0101001=>3
[4,8,3,2,6,7,1,5]=>0110010=>4
[4,3,8,2,6,7,1,5]=>1010010=>6
[4,3,2,6,7,8,1,5]=>1100010=>7
[4,3,2,6,7,1,5,8]=>1100100=>7
[4,3,7,2,6,8,1,5]=>1010010=>6
[4,3,7,8,2,6,1,5]=>1001010=>5
[2,5,7,4,8,1,6,3]=>0010101=>1
[3,2,5,7,8,1,6,4]=>1000101=>5
[3,2,5,7,1,6,8,4]=>1001001=>5
[3,2,5,7,1,6,4,8]=>1001010=>5
[6,3,2,7,1,5,4,8]=>1101010=>7
[6,3,2,7,1,5,8,4]=>1101001=>6
[6,3,2,7,8,1,5,4]=>1100101=>6
[4,2,6,1,7,8,5,3]=>1010011=>5
[6,5,2,1,7,8,4,3]=>1110011=>5
[2,1,7,5,3,8,6,4]=>1011011=>3
[6,2,1,8,5,3,7,4]=>1101101=>5
[6,3,2,7,1,4,8,5]=>1101001=>6
[6,3,2,1,4,7,8,5]=>1110001=>6
[6,3,2,1,4,7,5,8]=>1110010=>7
[3,5,2,1,7,4,6,8]=>0110100=>4
[3,5,2,1,7,8,4,6]=>0110010=>4
[5,8,4,2,1,7,3,6]=>0111010=>3
[4,6,2,1,8,3,7,5]=>0110101=>3
[2,4,1,7,3,8,6,5]=>0101011=>1
[3,2,7,1,4,8,6,5]=>1010011=>5
[3,5,8,2,1,7,4,6]=>0011010=>2
[4,8,3,7,2,1,5,6]=>0101100=>3
[4,3,7,2,8,1,5,6]=>1010100=>7
[4,3,7,2,1,5,6,8]=>1011000=>6
[4,8,3,2,7,1,5,6]=>0110100=>4
[3,5,2,8,1,7,4,6]=>0101010=>4
[6,3,2,8,1,4,7,5]=>1101001=>6
[3,2,1,4,7,5,8,6]=>1100101=>6
[5,3,2,1,8,4,6,7]=>1110100=>7
[4,8,3,2,1,5,6,7]=>0111000=>4
[4,3,8,2,1,5,6,7]=>1011000=>6
[1,9,8,7,6,5,4,3,2]=>01111111=>1
[8,7,6,4,5,3,2,1,9]=>11101110=>8
[1,9,8,7,5,6,4,3,2]=>01110111=>2
[1,10,9,8,7,6,5,4,3,2]=>011111111=>1
[10,9,8,7,6,5,4,3,2,1,11]=>1111111110=>10
[9,8,7,5,6,4,3,2,1,10]=>111011110=>8
[8,7,5,4,6,3,2,1,9]=>11101110=>8
[8,7,4,6,5,3,2,1,9]=>11011110=>6
[1,9,8,6,5,7,4,3,2]=>01110111=>2
[1,9,8,5,7,6,4,3,2]=>01101111=>1
[1,10,9,8,6,7,5,4,3,2]=>011101111=>1
[6,2,3,1,5,4,8,7]=>1010101=>4
[8,4,5,2,3,1,7,6]=>1010101=>4
[8,6,7,2,5,3,4,1]=>1010101=>4
[8,2,5,3,4,1,7,6]=>1010101=>4
[6,2,5,3,4,1,8,7]=>1010101=>4
[6,1,5,2,4,3,8,7]=>1010101=>4
[6,4,5,1,3,2,8,7]=>1010101=>4
[6,1,5,3,4,2,8,7]=>1010101=>4
[6,3,5,1,4,2,8,7]=>1010101=>4
[8,3,5,2,4,1,7,6]=>1010101=>4
[8,3,7,5,6,2,4,1]=>1010101=>4
[8,3,7,2,4,1,6,5]=>1010101=>4
[8,3,5,1,4,2,7,6]=>1010101=>4
[8,1,5,3,4,2,7,6]=>1010101=>4
[8,4,5,1,3,2,7,6]=>1010101=>4
[2,1,8,4,5,3,7,6]=>1010101=>4
[8,6,7,4,5,1,3,2]=>1010101=>4
[8,6,7,1,5,3,4,2]=>1010101=>4
[8,6,7,3,5,1,4,2]=>1010101=>4
[8,3,7,5,6,1,4,2]=>1010101=>4
[8,5,7,3,6,1,4,2]=>1010101=>4
[8,3,7,4,6,2,5,1]=>1010101=>4
[8,3,7,4,6,1,5,2]=>1010101=>4
[8,3,7,1,6,4,5,2]=>1010101=>4
[8,1,7,3,6,4,5,2]=>1010101=>4
[8,1,7,5,6,3,4,2]=>1010101=>4
[8,4,7,5,6,1,3,2]=>1010101=>4
[2,1,8,4,7,5,6,3]=>1010101=>4
[8,1,7,3,4,2,6,5]=>1010101=>4
[8,1,7,3,6,2,5,4]=>1010101=>4
[8,3,7,1,6,2,5,4]=>1010101=>4
[8,3,7,2,6,4,5,1]=>1010101=>4
[8,2,7,3,6,4,5,1]=>1010101=>4
[8,2,7,3,6,1,5,4]=>1010101=>4
[8,2,7,1,6,3,5,4]=>1010101=>4
[8,1,7,2,4,3,6,5]=>1010101=>4
[8,1,3,2,7,4,6,5]=>1010101=>4
[2,1,8,3,7,4,6,5]=>1010101=>4
[8,1,5,2,4,3,7,6]=>1010101=>4
[8,2,7,1,4,3,6,5]=>1010101=>4
[8,2,7,3,4,1,6,5]=>1010101=>4
[8,2,7,5,6,3,4,1]=>1010101=>4
[8,4,7,5,6,2,3,1]=>1010101=>4
[8,4,7,2,3,1,6,5]=>1010101=>4
[8,2,3,1,7,4,6,5]=>1010101=>4
[8,2,3,1,5,4,7,6]=>1010101=>4
[4,2,3,1,8,5,7,6]=>1010101=>4
[4,1,3,2,8,6,7,5]=>1010101=>4
[8,6,7,2,3,1,5,4]=>1010101=>4
[8,2,3,1,7,5,6,4]=>1010101=>4
[8,5,7,2,6,3,4,1]=>1010101=>4
[8,5,7,2,6,1,4,3]=>1010101=>4
[8,2,7,5,6,1,4,3]=>1010101=>4
[8,6,7,2,5,1,4,3]=>1010101=>4
[8,6,7,1,5,2,4,3]=>1010101=>4
[8,6,7,1,3,2,5,4]=>1010101=>4
[2,1,8,6,7,3,5,4]=>1010101=>4
[2,1,8,3,7,5,6,4]=>1010101=>4
[8,1,3,2,7,5,6,4]=>1010101=>4
[8,1,7,5,6,2,4,3]=>1010101=>4
[8,1,7,2,6,4,5,3]=>1010101=>4
[8,2,7,1,6,4,5,3]=>1010101=>4
[8,2,7,4,6,1,5,3]=>1010101=>4
[8,2,7,4,6,3,5,1]=>1010101=>4
[8,4,7,2,6,3,5,1]=>1010101=>4
[8,4,7,2,6,1,5,3]=>1010101=>4
[8,4,7,1,6,2,5,3]=>1010101=>4
[8,1,7,4,6,2,5,3]=>1010101=>4
[8,5,7,1,6,2,4,3]=>1010101=>4
[2,1,8,5,7,3,6,4]=>1010101=>4
[8,5,7,4,6,1,3,2]=>1010101=>4
[8,5,7,1,6,3,4,2]=>1010101=>4
[8,1,7,4,6,3,5,2]=>1010101=>4
[8,4,7,1,6,3,5,2]=>1010101=>4
[8,4,7,3,6,1,5,2]=>1010101=>4
[2,4,8,3,6,1,7,5]=>0010101=>1
[6,5,8,1,3,2,7,4]=>1010101=>4
[4,5,8,6,3,2,7,1]=>0011101=>1
[6,5,8,7,3,1,2,4]=>1011100=>5
[1,5,8,7,3,6,2,4]=>0011010=>2
[1,7,2,8,4,6,5,3]=>0101011=>1
[6,7,2,8,4,1,5,3]=>0101101=>2
[3,6,2,8,4,5,7,1]=>0101001=>3
[2,6,1,8,4,5,7,3]=>0101001=>3
[2,8,4,6,1,5,7,3]=>0101001=>3
[6,3,1,8,4,5,7,2]=>1101001=>6
[3,1,6,8,4,5,7,2]=>1001001=>5
[2,3,6,8,4,5,7,1]=>0001001=>1
[6,3,7,8,4,1,5,2]=>1001101=>4
[1,3,7,8,4,6,5,2]=>0001011=>1
[1,5,7,8,2,4,6,3]=>0001001=>1
[5,1,7,8,2,4,6,3]=>1001001=>5
[3,6,7,8,4,2,5,1]=>0001101=>1
[7,6,1,8,4,2,5,3]=>1101101=>5
[5,6,8,7,3,2,1,4]=>0011110=>2
[2,8,3,7,1,6,5,4]=>0101011=>1
[5,2,8,7,3,6,1,4]=>1011010=>6
[7,2,1,8,4,6,5,3]=>1101011=>5
[3,2,7,8,4,6,5,1]=>1001011=>4
[5,2,7,8,1,4,6,3]=>1001001=>5
[1,2,7,8,5,4,6,3]=>0001101=>1
[4,2,1,3,8,5,6,7]=>1100100=>7
[7,2,5,8,3,4,6,1]=>1001001=>5
[6,2,8,5,4,3,1,7]=>1011110=>4
[2,8,3,5,4,1,6,7]=>0101100=>3
[2,8,4,5,3,1,6,7]=>0101100=>3
[6,4,8,5,2,3,1,7]=>1011010=>6
[7,3,5,8,2,4,6,1]=>1001001=>5
[4,3,1,2,8,5,6,7]=>1100100=>7
[3,4,2,1,8,5,6,7]=>0110100=>4
[2,7,6,8,4,3,5,1]=>0101101=>2
[5,7,1,8,3,4,6,2]=>0101001=>3
[3,7,5,8,1,4,6,2]=>0101001=>3
[1,7,5,8,3,4,6,2]=>0101001=>3
[1,6,8,5,4,3,2,7]=>0011110=>2
[4,6,8,5,1,3,2,7]=>0011010=>2
[5,6,8,1,4,3,2,7]=>0010110=>2
[7,5,8,6,3,4,2,1]=>1011011=>3
[2,4,8,3,6,5,1,7]=>0010110=>2
[2,8,4,1,5,6,3,7]=>0110010=>4
[4,1,8,3,5,6,2,7]=>1010010=>6
[5,6,8,4,1,3,2,7]=>0011010=>2
[4,6,8,1,5,3,2,7]=>0010110=>2
[1,6,8,4,5,3,2,7]=>0010110=>2
[1,7,3,8,5,4,6,2]=>0101101=>2
[3,7,1,8,5,4,6,2]=>0101101=>2
[2,7,3,8,4,6,5,1]=>0101011=>1
[7,1,3,8,4,6,5,2]=>1001011=>4
[5,7,8,4,3,6,1,2]=>0011010=>2
[2,8,7,4,1,6,5,3]=>0111011=>2
[2,8,5,4,3,1,6,7]=>0111100=>3
[6,5,8,4,2,3,1,7]=>1011010=>6
[4,1,3,2,8,5,6,7]=>1010100=>7
[1,4,3,2,8,5,6,7]=>0110100=>4
[7,3,2,8,5,4,6,1]=>1101101=>5
[6,4,8,2,5,3,1,7]=>1010110=>5
[2,8,4,3,5,1,6,7]=>0110100=>4
[2,8,3,4,5,1,6,7]=>0100100=>5
[6,2,8,4,5,3,1,7]=>1010110=>5
[7,2,3,8,5,4,6,1]=>1001101=>4
[4,2,3,1,8,5,6,7]=>1010100=>7
[3,2,1,4,8,5,6,7]=>1100100=>7
[5,1,3,2,4,8,6,7]=>1010010=>6
[2,8,1,5,3,4,7,6]=>0101001=>3
[1,2,8,4,5,3,7,6]=>0010101=>1
[1,4,2,8,5,3,6,7]=>0101100=>3
[1,8,4,2,5,3,6,7]=>0110100=>4
[8,1,5,3,2,4,6,7]=>1011000=>6
[3,8,1,5,2,4,6,7]=>0101000=>5
[3,5,1,4,8,2,6,7]=>0100100=>5
[1,5,2,8,4,3,6,7]=>0101100=>3
[1,2,8,5,4,3,6,7]=>0011100=>3
[1,2,5,4,3,8,6,7]=>0011010=>2
[1,2,4,8,5,3,7,6]=>0001101=>1
[1,2,7,4,8,5,3,6]=>0010110=>2
[1,5,2,7,8,4,3,6]=>0100110=>3
[5,1,2,7,4,8,3,6]=>1001010=>5
[8,3,5,1,4,7,2,6]=>1010010=>6
[2,8,1,5,4,7,3,6]=>0101010=>4
[1,2,8,5,7,4,3,6]=>0010110=>2
[1,2,4,8,7,5,3,6]=>0001110=>2
[2,8,1,4,3,7,6,5]=>0101011=>1
[6,1,2,8,7,4,3,5]=>1001110=>4
[6,4,1,2,8,7,3,5]=>1100110=>6
[3,6,4,8,1,7,2,5]=>0101010=>4
[7,6,1,4,2,8,3,5]=>1101010=>7
[7,1,6,2,8,4,3,5]=>1010110=>5
[1,6,7,2,8,4,3,5]=>0010110=>2
[6,7,1,4,2,8,3,5]=>0101010=>4
[6,3,7,1,4,8,2,5]=>1010010=>6
[3,7,8,1,5,2,4,6]=>0010100=>3
[7,1,2,8,5,3,4,6]=>1001100=>6
[1,7,2,8,4,5,3,6]=>0101010=>4
[1,4,2,7,8,5,3,6]=>0100110=>3
[6,1,2,8,4,3,7,5]=>1001101=>4
[6,4,1,2,8,3,7,5]=>1100101=>6
[7,6,1,3,2,4,8,5]=>1101001=>6
[6,7,1,3,2,4,8,5]=>0101001=>3
[1,2,7,3,5,8,4,6]=>0010010=>3
[1,2,7,5,8,3,4,6]=>0010100=>3
[5,8,1,3,7,2,4,6]=>0100100=>5
[1,2,5,8,7,3,4,6]=>0001100=>3
[1,2,5,8,3,7,4,6]=>0001010=>2
[2,8,1,7,3,5,4,6]=>0101010=>4
[8,6,1,3,2,4,7,5]=>1101001=>6
[4,2,8,1,7,3,6,5]=>1010101=>4
[2,8,1,7,4,3,6,5]=>0101101=>2
[7,1,2,8,4,3,6,5]=>1001101=>4
[1,2,8,4,7,5,3,6]=>0010110=>2
[1,2,8,7,4,5,3,6]=>0011010=>2
[2,8,1,7,5,3,4,6]=>0101100=>3
[8,3,7,1,5,2,4,6]=>1010100=>7
[3,8,6,1,4,7,2,5]=>0110010=>4
[8,6,1,4,2,7,3,5]=>1101010=>7
[8,1,6,2,7,4,3,5]=>1010110=>5
[7,1,2,8,6,4,3,5]=>1001110=>4
[7,4,1,2,8,6,3,5]=>1100110=>6
[3,7,4,8,1,6,2,5]=>0101010=>4
[3,4,8,7,1,6,2,5]=>0011010=>2
[4,2,8,1,7,6,3,5]=>1010110=>5
[2,8,1,7,6,4,3,5]=>0101110=>2
[7,8,3,4,1,5,2,6]=>0101010=>4
[7,8,3,4,1,6,2,5]=>0101010=>4
[6,8,3,4,1,7,2,5]=>0101010=>4
[6,7,3,4,1,8,2,5]=>0101010=>4
[5,7,3,4,1,8,2,6]=>0101010=>4
[5,8,3,4,1,7,2,6]=>0101010=>4
[5,8,3,4,1,6,2,7]=>0101010=>4
[6,8,3,4,1,5,2,7]=>0101010=>4
[6,7,3,4,1,5,2,8]=>0101010=>4
[5,7,3,4,1,6,2,8]=>0101010=>4
[5,6,2,8,3,4,1,7]=>0101010=>4
[5,6,2,7,3,4,1,8]=>0101010=>4
[4,6,2,8,3,5,1,7]=>0101010=>4
[4,7,3,5,1,6,2,8]=>0101010=>4
[4,8,3,5,1,6,2,7]=>0101010=>4
[4,8,3,5,1,7,2,6]=>0101010=>4
[4,7,3,5,1,8,2,6]=>0101010=>4
[5,6,2,3,1,7,4,8]=>0101010=>4
[5,6,2,4,1,8,3,7]=>0101010=>4
[5,6,2,4,1,7,3,8]=>0101010=>4
[4,6,2,5,1,7,3,8]=>0101010=>4
[4,6,2,5,1,8,3,7]=>0101010=>4
[4,5,1,8,3,7,2,6]=>0101010=>4
[4,5,1,7,3,8,2,6]=>0101010=>4
[4,6,2,7,3,8,1,5]=>0101010=>4
[5,6,2,7,3,8,1,4]=>0101010=>4
[5,6,2,7,4,8,1,3]=>0101010=>4
[5,6,3,8,4,7,1,2]=>0101010=>4
[5,6,2,8,4,7,1,3]=>0101010=>4
[5,6,2,8,3,7,1,4]=>0101010=>4
[4,6,2,8,3,7,1,5]=>0101010=>4
[4,5,1,7,3,6,2,8]=>0101010=>4
[4,5,1,8,3,6,2,7]=>0101010=>4
[9,2,1,3,4,5,6,7,8]=>11000000=>8
[10,2,1,3,4,5,6,7,8,9]=>110000000=>9
[9,2,3,1,4,5,6,7,8]=>10100000=>8
[4,2,3,5,6,7,8,9,1]=>10000001=>7
[3,4,2,5,6,7,8,9,1]=>01000001=>5
[3,2,4,5,6,7,8,9,10,1]=>100000001=>8
[6,5,3,2,1,4,8,7]=>1111001=>6
[4,6,3,5,2,1,8,7]=>0101101=>2
[8,7,3,5,2,4,1,6]=>1101010=>7
[6,8,2,4,5,7,3,1]=>0100011=>3
[8,7,2,4,5,3,1,6]=>1100110=>6
[3,6,1,4,5,2,8,7]=>0100101=>2
[8,3,7,4,5,2,1,6]=>1010110=>5
[6,3,8,4,5,7,2,1]=>1010011=>5
[5,8,7,4,3,6,2,1]=>0111011=>2
[2,8,7,4,3,6,1,5]=>0111010=>3
[8,1,7,4,3,6,2,5]=>1011010=>6
[8,7,3,5,1,4,2,6]=>1101010=>7
[2,1,6,8,5,7,4,3]=>1001011=>4
[6,8,3,5,1,7,4,2]=>0101011=>1
[5,1,8,4,7,6,3,2]=>1010111=>3
[2,5,8,4,7,6,3,1]=>0010111=>1
[4,3,8,1,5,6,7,2]=>1010001=>6
[4,8,1,3,5,6,7,2]=>0100001=>4
[5,8,7,4,1,6,3,2]=>0111011=>2
[5,8,3,6,1,4,7,2]=>0101001=>3
[4,8,3,6,1,2,7,5]=>0101001=>3
[3,8,7,4,1,6,2,5]=>0111010=>3
[3,8,1,2,5,6,7,4]=>0100001=>4
[8,7,1,4,2,6,3,5]=>1101010=>7
[8,6,3,1,2,4,7,5]=>1110001=>6
[8,1,7,4,5,2,3,6]=>1010100=>7
[2,8,7,4,5,1,3,6]=>0110100=>4
[8,7,2,4,1,6,3,5]=>1101010=>7
[5,8,3,6,2,4,7,1]=>0101001=>3
[8,6,3,2,1,4,7,5]=>1111001=>6
[8,7,3,5,2,1,4,6]=>1101100=>7
[5,8,3,6,2,1,7,4]=>0101101=>2
[5,8,7,4,2,6,1,3]=>0111010=>3
[2,6,8,4,5,7,1,3]=>0010010=>3
[6,1,8,4,5,7,2,3]=>1010010=>6
[6,8,3,5,1,7,2,4]=>0101010=>4
[2,1,5,8,3,6,7,4]=>1001001=>5
[5,8,3,6,1,2,7,4]=>0101001=>3
[4,1,8,2,5,6,7,3]=>1010001=>6
[2,4,8,1,5,6,7,3]=>0010001=>2
[4,8,2,1,5,6,7,3]=>0110001=>4
[3,4,8,2,5,6,7,1]=>0010001=>2
[5,8,1,4,7,6,2,3]=>0100110=>3
[5,8,3,1,6,2,7,4]=>0110101=>3
[4,5,3,8,6,1,7,2]=>0101101=>2
[3,4,1,8,5,6,7,2]=>0101001=>3
[2,4,6,8,10,1,3,5,7,9]=>000010000=>5
[2,4,6,9,10,1,3,5,7,8]=>000010000=>5
[2,4,7,8,10,1,3,5,6,9]=>000010000=>5
[2,4,7,9,10,1,3,5,6,8]=>000010000=>5
[2,4,8,9,10,1,3,5,6,7]=>000010000=>5
[2,5,6,8,10,1,3,4,7,9]=>000010000=>5
[2,5,6,9,10,1,3,4,7,8]=>000010000=>5
[2,5,7,8,10,1,3,4,6,9]=>000010000=>5
[2,5,7,9,10,1,3,4,6,8]=>000010000=>5
[2,5,8,9,10,1,3,4,6,7]=>000010000=>5
[2,6,7,8,10,1,3,4,5,9]=>000010000=>5
[2,6,7,9,10,1,3,4,5,8]=>000010000=>5
[2,6,8,9,10,1,3,4,5,7]=>000010000=>5
[2,7,8,9,10,1,3,4,5,6]=>000010000=>5
[3,4,6,8,10,1,2,5,7,9]=>000010000=>5
[3,4,6,9,10,1,2,5,7,8]=>000010000=>5
[3,4,7,8,10,1,2,5,6,9]=>000010000=>5
[3,4,7,9,10,1,2,5,6,8]=>000010000=>5
[3,4,8,9,10,1,2,5,6,7]=>000010000=>5
[3,5,6,8,10,1,2,4,7,9]=>000010000=>5
[3,5,6,9,10,1,2,4,7,8]=>000010000=>5
[3,5,7,8,10,1,2,4,6,9]=>000010000=>5
[3,5,7,9,10,1,2,4,6,8]=>000010000=>5
[3,5,8,9,10,1,2,4,6,7]=>000010000=>5
[3,6,7,8,10,1,2,4,5,9]=>000010000=>5
[3,6,7,9,10,1,2,4,5,8]=>000010000=>5
[3,6,8,9,10,1,2,4,5,7]=>000010000=>5
[3,7,8,9,10,1,2,4,5,6]=>000010000=>5
[4,5,6,8,10,1,2,3,7,9]=>000010000=>5
[4,5,6,9,10,1,2,3,7,8]=>000010000=>5
[4,5,7,8,10,1,2,3,6,9]=>000010000=>5
[4,5,7,9,10,1,2,3,6,8]=>000010000=>5
[4,5,8,9,10,1,2,3,6,7]=>000010000=>5
[4,6,7,8,10,1,2,3,5,9]=>000010000=>5
[4,6,7,9,10,1,2,3,5,8]=>000010000=>5
[4,6,8,9,10,1,2,3,5,7]=>000010000=>5
[4,7,8,9,10,1,2,3,5,6]=>000010000=>5
[5,6,7,8,10,1,2,3,4,9]=>000010000=>5
[5,6,7,9,10,1,2,3,4,8]=>000010000=>5
[5,6,8,9,10,1,2,3,4,7]=>000010000=>5
[5,7,8,9,10,1,2,3,4,6]=>000010000=>5
[4,5,7,6,2,3,8,1]=>0011001=>2
[3,5,7,2,6,4,8,1]=>0010101=>1
[2,5,7,3,6,4,8,1]=>0010101=>1
[1,5,7,3,6,8,4,2]=>0010011=>1
[8,4,3,7,6,1,5,2]=>1101101=>5
[6,7,2,3,5,4,8,1]=>0100101=>2
[5,2,7,3,6,4,8,1]=>1010101=>4
[8,3,4,7,6,1,5,2]=>1001101=>4
[8,2,4,7,1,6,5,3]=>1001011=>4
[3,1,4,7,6,8,5,2]=>1001011=>4
[4,1,3,7,6,8,5,2]=>1001011=>4
[5,1,7,3,6,8,4,2]=>1010011=>5
[6,7,1,3,5,8,4,2]=>0100011=>3
[5,8,7,3,6,1,4,2]=>0110101=>3
[4,8,3,7,6,1,5,2]=>0101101=>2
[3,8,4,7,6,1,5,2]=>0101101=>2
[2,8,4,7,1,6,5,3]=>0101011=>1
[8,1,4,7,2,6,5,3]=>1001011=>4
[8,1,3,2,7,6,5,4]=>1010111=>3
[2,8,3,1,7,6,5,4]=>0110111=>1
[3,8,2,1,7,6,5,4]=>0110111=>1
[6,7,1,2,8,5,4,3]=>0100111=>2
[8,2,3,1,7,6,5,4]=>1010111=>3
[8,3,2,1,7,6,5,4]=>1110111=>4
[3,4,1,7,6,8,5,2]=>0101011=>1
[1,4,2,7,8,6,5,3]=>0100111=>2
[8,4,2,7,1,6,5,3]=>1101011=>5
[8,5,7,2,1,6,4,3]=>1011011=>3
[1,5,7,2,8,6,4,3]=>0010111=>1
[2,5,7,1,8,6,4,3]=>0010111=>1
[3,5,7,1,6,8,4,2]=>0010011=>1
[6,7,4,5,8,1,3,2]=>0100101=>2
[5,4,7,6,8,1,3,2]=>1010101=>4
[2,5,7,8,1,6,4,3]=>0001011=>1
[1,5,7,8,2,6,4,3]=>0001011=>1
[8,5,7,1,2,6,4,3]=>1010011=>5
[8,4,1,7,2,6,5,3]=>1101011=>5
[1,4,8,7,2,6,5,3]=>0011011=>1
[3,4,8,7,6,1,5,2]=>0011101=>1
[4,3,8,7,6,1,5,2]=>1011101=>4
[5,3,7,8,6,1,4,2]=>1001101=>4
[6,7,2,8,1,5,4,3]=>0101011=>1
[5,2,7,8,1,6,4,3]=>1001011=>4
[4,2,8,7,1,6,5,3]=>1011011=>3
[3,2,8,1,7,6,5,4]=>1010111=>3
[1,3,8,2,7,6,5,4]=>0010111=>1
[8,3,1,2,7,6,5,4]=>1100111=>4
[8,2,1,3,7,6,5,4]=>1100111=>4
[1,2,8,3,7,6,5,4]=>0010111=>1
[2,1,8,3,7,6,5,4]=>1010111=>3
[4,1,8,7,2,6,5,3]=>1011011=>3
[5,1,7,8,2,6,4,3]=>1001011=>4
[6,7,1,8,2,5,4,3]=>0101011=>1
[5,8,7,1,2,6,4,3]=>0110011=>2
[4,8,1,7,2,6,5,3]=>0101011=>1
[3,8,1,2,7,6,5,4]=>0100111=>2
[2,8,1,3,7,6,5,4]=>0100111=>2
[1,8,2,3,7,6,5,4]=>0100111=>2
[8,1,2,3,7,6,5,4]=>1000111=>4
[3,1,4,5,6,7,8,9,10,2]=>100000001=>8
[10,3,4,5,6,7,8,1,2,9]=>100000100=>8
[10,1,4,5,6,7,8,9,2,3]=>100000010=>8
[11,3,4,5,6,7,8,9,1,2,10]=>1000000100=>9
[2,10,4,5,6,7,8,1,3,9]=>010000100=>6
[8,3,4,5,6,7,1,10,2,9]=>100001010=>7
[3,1,10,5,6,7,8,9,2,4]=>101000010=>8
[9,1,4,5,6,7,8,2,10,3]=>100000101=>7
[11,1,4,5,6,7,8,9,10,2,3]=>1000000010=>9
[6,7,1,8,4,5,2,3]=>0101010=>4
[3,7,1,5,8,2,6,4]=>0100101=>2
[2,7,1,5,8,3,6,4]=>0100101=>2
[2,6,5,1,8,3,7,4]=>0110101=>3
[3,6,5,1,8,2,7,4]=>0110101=>3
[4,6,5,1,8,7,2,3]=>0110110=>3
[5,6,4,1,8,7,2,3]=>0110110=>3
[8,1,4,5,7,6,2,3]=>1000110=>5
[6,4,5,1,8,7,2,3]=>1010110=>5
[5,4,6,1,8,7,2,3]=>1010110=>5
[4,5,6,1,8,7,2,3]=>0010110=>2
[3,5,6,1,8,2,7,4]=>0010101=>1
[2,5,6,1,8,3,7,4]=>0010101=>1
[2,4,6,1,3,8,7,5]=>0010011=>1
[3,4,6,1,2,8,7,5]=>0010011=>1
[4,3,6,1,2,8,7,5]=>1010011=>5
[5,3,6,1,8,2,7,4]=>1010101=>4
[7,3,1,5,8,2,6,4]=>1100101=>6
[8,1,3,5,7,2,6,4]=>1000101=>5
[8,1,2,5,7,3,6,4]=>1000101=>5
[7,2,1,5,8,3,6,4]=>1100101=>6
[6,2,5,1,8,3,7,4]=>1010101=>4
[4,2,6,1,3,8,7,5]=>1010011=>5
[2,3,6,1,4,8,7,5]=>0010011=>1
[4,2,5,3,1,8,7,6]=>1011011=>3
[6,2,4,1,3,8,7,5]=>1010011=>5
[7,2,1,4,3,8,6,5]=>1101011=>5
[8,1,2,4,3,7,6,5]=>1001011=>4
[8,1,3,4,2,7,6,5]=>1001011=>4
[7,3,1,4,2,8,6,5]=>1101011=>5
[6,3,4,1,2,8,7,5]=>1010011=>5
[4,6,3,1,2,8,7,5]=>0110011=>2
[3,6,4,1,2,8,7,5]=>0110011=>2
[2,6,4,1,3,8,7,5]=>0110011=>2
[2,7,1,4,3,8,6,5]=>0101011=>1
[3,7,1,4,2,8,6,5]=>0101011=>1
[4,7,1,3,2,8,6,5]=>0101011=>1
[8,1,6,7,2,3,5,4]=>1001001=>5
[4,7,1,2,3,8,6,5]=>0100011=>3
[3,7,1,2,4,8,6,5]=>0100011=>3
[2,7,1,3,4,8,6,5]=>0100011=>3
[2,6,3,1,4,8,7,5]=>0110011=>2
[3,6,2,1,4,8,7,5]=>0110011=>2
[5,6,2,1,8,3,7,4]=>0110101=>3
[6,5,2,1,8,3,7,4]=>1110101=>6
[8,1,5,2,7,3,6,4]=>1010101=>4
[8,1,4,2,3,7,6,5]=>1010011=>5
[7,4,1,2,3,8,6,5]=>1100011=>5
[6,4,2,1,3,8,7,5]=>1110011=>5
[5,4,2,3,1,8,7,6]=>1101011=>5
[3,5,2,4,1,8,7,6]=>0101011=>1
[6,3,2,1,4,8,7,5]=>1110011=>5
[7,3,1,2,4,8,6,5]=>1100011=>5
[8,1,3,2,4,7,6,5]=>1010011=>5
[8,1,2,3,4,7,6,5]=>1000011=>5
[7,2,1,3,4,8,6,5]=>1100011=>5
[6,2,3,1,4,8,7,5]=>1010011=>5
[2,4,3,6,1,5,8,7]=>0101001=>3
[2,4,3,6,5,8,1,7]=>0101010=>4
[2,4,6,3,5,8,7,1]=>0010011=>1
[2,4,6,3,5,8,1,7]=>0010010=>3
[2,4,6,3,5,1,8,7]=>0010101=>1
[2,4,6,3,1,5,8,7]=>0011001=>2
[2,4,1,6,5,3,8,7]=>0101101=>2
[2,4,6,1,5,3,8,7]=>0010101=>1
[4,2,6,5,3,1,8,7]=>1011101=>4
[4,2,6,5,1,3,8,7]=>1011001=>5
[4,2,6,5,1,8,7,3]=>1011011=>3
[4,2,6,5,8,1,7,3]=>1010101=>4
[4,2,6,5,8,1,3,7]=>1010100=>7
[4,2,6,5,8,3,1,7]=>1010110=>5
[2,4,6,1,5,8,3,7]=>0010010=>3
[2,4,1,6,5,8,3,7]=>0101010=>4
[2,1,4,6,5,8,3,7]=>1001010=>5
[2,4,1,6,5,8,7,3]=>0101011=>1
[2,4,6,1,5,8,7,3]=>0010011=>1
[4,2,6,5,3,8,7,1]=>1011011=>3
[4,2,6,5,8,3,7,1]=>1010101=>4
[2,6,4,3,8,7,1,5]=>0110110=>3
[2,6,4,3,8,7,5,1]=>0110111=>1
[4,2,6,8,5,3,7,1]=>1001101=>4
[2,4,6,8,1,5,7,3]=>0001001=>1
[2,4,6,1,8,5,7,3]=>0010101=>1
[2,4,1,6,8,5,7,3]=>0100101=>2
[2,1,4,6,8,5,7,3]=>1000101=>5
[2,1,4,6,8,5,3,7]=>1000110=>5
[2,4,1,6,8,5,3,7]=>0100110=>3
[2,4,6,1,8,5,3,7]=>0010110=>2
[2,4,6,8,1,5,3,7]=>0001010=>2
[4,2,6,8,5,3,1,7]=>1001110=>4
[4,2,6,8,5,1,3,7]=>1001100=>6
[4,2,6,8,5,1,7,3]=>1001101=>4
[2,4,6,8,3,5,7,1]=>0001001=>1
[2,4,6,8,3,5,1,7]=>0001010=>2
[2,4,6,8,3,1,5,7]=>0001100=>3
[2,4,6,3,1,8,5,7]=>0011010=>2
[2,4,6,3,8,1,5,7]=>0010100=>3
[2,4,6,3,8,5,1,7]=>0010110=>2
[2,4,6,3,8,5,7,1]=>0010101=>1
[2,4,3,6,8,5,7,1]=>0100101=>2
[2,4,3,6,8,5,1,7]=>0100110=>3
[2,4,3,6,8,1,5,7]=>0100100=>5
[2,4,3,6,1,8,5,7]=>0101010=>4
[2,4,3,1,6,8,5,7]=>0110010=>4
[2,4,1,3,6,8,7,5]=>0100011=>3
[2,4,3,6,1,8,7,5]=>0101011=>1
[2,4,3,6,8,1,7,5]=>0100101=>2
[4,6,5,2,8,7,3,1]=>0110111=>1
[4,6,5,2,8,7,1,3]=>0110110=>3
[4,6,2,5,8,7,1,3]=>0100110=>3
[4,6,2,5,8,7,3,1]=>0100111=>2
[2,4,6,3,8,1,7,5]=>0010101=>1
[2,4,6,3,1,8,7,5]=>0011011=>1
[2,4,1,6,3,8,7,5]=>0101011=>1
[2,1,4,6,3,8,7,5]=>1001011=>4
[2,1,4,6,8,3,7,5]=>1000101=>5
[2,4,1,6,8,3,7,5]=>0100101=>2
[2,4,6,1,8,3,7,5]=>0010101=>1
[2,4,6,8,1,3,7,5]=>0001001=>1
[2,4,6,8,3,1,7,5]=>0001101=>1
[4,6,2,8,5,7,3,1]=>0101011=>1
[4,6,2,8,5,7,1,3]=>0101010=>4
[6,2,4,8,7,1,3,5]=>1001100=>6
[6,4,2,8,7,5,3,1]=>1101111=>3
[2,6,4,8,1,7,5,3]=>0101011=>1
[2,6,4,1,8,7,5,3]=>0110111=>1
[2,6,1,4,8,7,5,3]=>0100111=>2
[2,1,6,4,8,7,5,3]=>1010111=>3
[2,1,6,4,8,7,3,5]=>1010110=>5
[2,6,1,4,8,7,3,5]=>0100110=>3
[2,6,4,1,8,7,3,5]=>0110110=>3
[2,6,4,8,1,7,3,5]=>0101010=>4
[6,4,2,8,7,5,1,3]=>1101110=>6
[6,2,4,8,7,3,5,1]=>1001101=>4
[6,2,4,8,7,3,1,5]=>1001110=>4
[1,6,4,7,3,8,2,5]=>0101010=>4
[1,3,7,4,5,8,2,6]=>0010010=>3
[5,2,4,7,3,6,8,1]=>1001001=>5
[1,7,6,3,4,8,2,5]=>0110010=>4
[8,1,6,3,7,2,4,5]=>1010100=>7
[7,1,6,3,8,2,4,5]=>1010100=>7
[1,2,7,4,8,3,5,6]=>0010100=>3
[6,1,7,3,4,8,2,5]=>1010010=>6
[2,1,7,4,5,8,3,6]=>1010010=>6
[5,1,4,7,3,8,2,6]=>1001010=>5
[4,3,1,7,5,8,2,6]=>1101010=>7
[2,8,6,3,7,1,4,5]=>0110100=>4
[6,8,1,3,7,2,4,5]=>0100100=>5
[5,8,2,1,7,3,4,6]=>0110100=>4
[5,7,2,1,8,3,4,6]=>0110100=>4
[6,7,1,3,8,2,4,5]=>0100100=>5
[5,1,2,4,8,3,6,7]=>1000100=>6
[4,3,6,1,5,8,2,7]=>1010010=>6
[2,6,1,4,5,8,3,7]=>0100010=>4
[6,5,1,3,4,8,2,7]=>1100010=>7
[1,6,2,4,8,3,5,7]=>0100100=>5
[8,5,1,3,7,2,4,6]=>1100100=>7
[1,5,3,2,8,4,6,7]=>0110100=>4
[6,4,2,1,5,8,3,7]=>1110010=>7
[2,5,3,4,1,8,6,7]=>0101010=>4
[4,3,5,2,1,8,6,7]=>1011010=>6
[2,6,4,8,7,1,3,5]=>0101100=>3
[1,6,4,8,7,2,3,5]=>0101100=>3
[2,7,8,3,6,1,4,5]=>0010100=>3
[4,3,2,8,7,1,5,6]=>1101100=>7
[5,2,4,8,7,1,3,6]=>1001100=>6
[6,2,8,3,7,1,4,5]=>1010100=>7
[5,1,4,8,7,2,3,6]=>1001100=>6
[4,8,2,5,1,3,7,6]=>0101001=>3
[4,7,2,5,1,3,8,6]=>0101001=>3
[3,7,2,1,5,4,8,6]=>0110101=>3
[3,8,2,1,5,4,7,6]=>0110101=>3
[8,3,2,1,5,4,6,7]=>1110100=>7
[8,3,2,1,6,4,5,7]=>1110100=>7
[8,4,2,5,1,6,3,7]=>1101010=>7
[8,3,2,1,5,6,4,7]=>1110010=>7
[8,3,2,1,4,6,5,7]=>1110010=>7
[3,8,2,1,4,5,7,6]=>0110001=>4
[3,7,2,1,4,5,8,6]=>0110001=>4
[3,2,7,1,4,6,8,5]=>1010001=>6
[3,2,8,1,4,6,7,5]=>1010001=>6
[3,2,8,1,4,7,6,5]=>1010011=>5
[3,8,2,1,4,7,5,6]=>0110010=>4
[3,8,2,1,5,7,4,6]=>0110010=>4
[4,8,2,5,1,7,3,6]=>0101010=>4
[4,7,2,5,1,8,3,6]=>0101010=>4
[3,7,2,1,5,8,4,6]=>0110010=>4
[3,7,2,1,4,8,5,6]=>0110010=>4
[3,2,1,7,5,8,6,4]=>1101011=>5
[3,2,7,1,6,8,4,5]=>1010010=>6
[4,2,7,6,1,8,3,5]=>1011010=>6
[4,3,7,6,8,1,2,5]=>1010100=>7
[4,3,8,6,7,1,2,5]=>1010100=>7
[4,2,8,6,1,7,3,5]=>1011010=>6
[3,2,8,1,6,7,4,5]=>1010010=>6
[3,2,1,8,7,5,6,4]=>1101101=>5
[3,8,2,1,7,4,5,6]=>0110100=>4
[3,2,8,1,7,4,6,5]=>1010101=>4
[3,2,8,1,6,4,7,5]=>1010101=>4
[3,2,7,1,6,4,8,5]=>1010101=>4
[4,2,7,6,1,3,8,5]=>1011001=>5
[4,2,8,6,1,3,7,5]=>1011001=>5
[4,2,8,7,1,3,6,5]=>1011001=>5
[5,7,8,3,4,1,2,6]=>0010100=>3
[4,2,7,8,1,3,6,5]=>1001001=>5
[4,2,6,8,1,3,7,5]=>1001001=>5
[4,2,6,7,1,3,8,5]=>1001001=>5
[3,2,6,1,8,4,7,5]=>1010101=>4
[3,7,2,1,8,4,5,6]=>0110100=>4
[3,7,2,1,8,5,4,6]=>0110110=>3
[4,7,3,8,5,1,2,6]=>0101100=>3
[4,3,7,8,6,1,2,5]=>1001100=>6
[3,2,7,1,8,6,4,5]=>1010110=>5
[3,2,1,6,8,5,7,4]=>1100101=>6
[3,2,6,1,8,7,4,5]=>1010110=>5
[4,2,6,8,1,7,3,5]=>1001010=>5
[4,3,6,8,7,1,2,5]=>1001100=>6
[4,2,6,7,1,8,3,5]=>1001010=>5
[3,2,6,1,7,8,4,5]=>1010010=>6
[3,4,6,8,7,5,1,2]=>0001110=>2
[5,3,6,4,8,7,1,2]=>1010110=>5
[1,4,6,2,7,8,5,3]=>0010011=>1
[3,1,8,5,4,2,6,7]=>1011100=>5
[1,2,7,5,4,8,6,3]=>0011011=>1
[6,3,7,5,4,8,1,2]=>1011010=>6
[7,3,8,5,4,6,1,2]=>1011010=>6
[3,8,7,5,4,6,1,2]=>0111010=>3
[4,3,6,7,8,5,1,2]=>1000110=>5
[4,5,6,3,8,7,1,2]=>0010110=>2
[3,6,8,5,4,7,1,2]=>0011010=>2
[6,8,3,5,4,7,1,2]=>0101010=>4
[7,6,3,5,4,8,1,2]=>1101010=>7
[1,6,2,5,4,8,7,3]=>0101011=>1
[7,1,2,5,8,3,6,4]=>1000101=>5
[1,8,2,5,7,3,6,4]=>0100101=>2
[6,2,1,5,4,8,7,3]=>1101011=>5
[4,1,6,2,8,7,5,3]=>1010111=>3
[7,8,1,2,4,6,5,3]=>0100011=>3
[7,8,3,1,4,2,6,5]=>0110101=>3
[4,3,6,1,8,2,7,5]=>1010101=>4
[2,3,8,5,4,1,6,7]=>0011100=>3
[4,8,1,5,2,3,7,6]=>0101001=>3
[7,5,1,6,4,3,2,8]=>1101110=>6
[5,8,1,6,4,3,2,7]=>0101110=>2
[6,1,5,7,4,3,2,8]=>1001110=>4
[1,5,8,6,4,3,2,7]=>0011110=>2
[3,4,6,1,5,8,2,7]=>0010010=>3
[7,8,4,1,5,3,2,6]=>0110110=>3
[7,8,5,1,6,3,2,4]=>0110110=>3
[2,6,1,5,7,3,8,4]=>0100101=>2
[1,6,8,7,4,3,2,5]=>0011110=>2
[6,8,1,7,4,3,2,5]=>0101110=>2
[5,6,1,7,4,3,2,8]=>0101110=>2
[5,1,7,6,4,3,2,8]=>1011110=>4
[6,1,7,8,4,3,2,5]=>1001110=>4
[7,1,8,6,4,3,2,5]=>1011110=>4
[1,8,7,6,4,3,2,5]=>0111110=>2
[2,1,7,5,6,3,8,4]=>1010101=>4
[3,1,6,7,5,8,2,4]=>1001010=>5
[7,8,1,6,5,3,2,4]=>0101110=>2
[7,8,2,1,4,5,6,3]=>0110001=>4
[2,8,1,5,4,6,7,3]=>0101001=>3
[7,2,1,5,4,6,8,3]=>1101001=>6
[1,2,8,5,6,3,7,4]=>0010101=>1
[6,1,2,5,7,3,8,4]=>1000101=>5
[4,2,1,5,6,3,7,8]=>1100100=>7
[4,3,6,1,5,7,2,8]=>1010010=>6
[5,1,6,3,7,8,2,4]=>1010010=>6
[1,3,6,8,5,7,2,4]=>0001010=>2
[2,4,6,3,7,1,8,5]=>0010101=>1
[1,3,6,4,8,7,2,5]=>0010110=>2
[4,1,6,7,3,8,2,5]=>1001010=>5
[5,4,6,1,3,7,2,8]=>1010010=>6
[6,4,1,5,2,3,7,8]=>1101000=>7
[4,1,7,5,2,3,8,6]=>1011001=>5
[1,2,4,5,8,3,7,6]=>0000101=>1
[7,2,3,5,4,1,8,6]=>1001101=>4
[2,8,3,5,4,1,7,6]=>0101101=>2
[4,2,6,3,8,1,7,5]=>1010101=>4
[7,8,2,3,4,1,6,5]=>0100101=>2
[7,8,1,4,6,3,2,5]=>0100110=>3
[3,1,6,4,7,8,2,5]=>1010010=>6
[1,8,5,7,4,3,2,6]=>0101110=>2
[7,1,5,8,4,3,2,6]=>1001110=>4
[5,1,8,7,4,3,2,6]=>1011110=>4
[6,5,1,8,4,3,2,7]=>1101110=>6
[6,5,7,1,4,3,2,8]=>1010110=>5
[7,5,8,1,4,3,2,6]=>1010110=>5
[5,8,7,1,4,3,2,6]=>0110110=>3
[1,5,7,8,4,3,2,6]=>0001110=>2
[2,4,7,5,1,3,8,6]=>0011001=>2
[7,8,4,6,1,3,2,5]=>0101010=>4
[7,8,5,4,1,3,2,6]=>0111010=>3
[3,5,6,4,1,8,2,7]=>0011010=>2
[2,6,4,5,1,3,8,7]=>0101001=>3
[1,6,5,8,4,3,2,7]=>0101110=>2
[6,8,5,1,4,3,2,7]=>0110110=>3
[7,6,5,1,4,3,2,8]=>1110110=>7
[1,2,3,4,5,6,9,7,8]=>00000010=>2
[1,2,3,4,5,8,6,9,7]=>00000101=>1
[1,2,3,4,7,5,8,9,6]=>00001001=>1
[1,2,3,6,4,7,8,9,5]=>00010001=>2
[1,2,5,3,6,7,8,9,4]=>00100001=>3
[1,4,2,5,6,7,8,9,3]=>01000001=>5
[9,8,1,2,3,4,5,6,7]=>11000000=>8
[7,8,9,1,2,3,4,5,6]=>00100000=>6
[9,8,7,1,2,3,4,5,6]=>11100000=>8
[6,7,8,9,1,2,3,4,5]=>00010000=>5
[9,6,7,8,1,2,3,4,5]=>10010000=>8
[8,9,6,7,1,2,3,4,5]=>01010000=>6
[9,8,6,7,1,2,3,4,5]=>11010000=>8
[9,8,7,6,1,2,3,4,5]=>11110000=>8
[9,5,6,7,8,1,2,3,4]=>10001000=>8
[8,9,5,6,7,1,2,3,4]=>01001000=>6
[9,8,5,6,7,1,2,3,4]=>11001000=>8
[9,7,8,5,6,1,2,3,4]=>10101000=>8
[9,8,7,5,6,1,2,3,4]=>11101000=>8
[9,8,7,6,5,1,2,3,4]=>11111000=>8
[7,8,9,4,5,6,1,2,3]=>00100100=>4
[9,7,8,4,5,6,1,2,3]=>10100100=>8
[9,8,7,4,5,6,1,2,3]=>11100100=>8
[8,9,6,7,4,5,1,2,3]=>01010100=>5
[9,8,6,7,4,5,1,2,3]=>11010100=>8
[9,8,7,6,4,5,1,2,3]=>11110100=>8
[9,8,7,6,5,4,1,2,3]=>11111100=>8
[9,7,8,5,6,3,4,1,2]=>10101010=>8
[9,8,7,5,6,3,4,1,2]=>11101010=>8
[9,8,7,6,5,3,4,1,2]=>11111010=>8
[9,8,7,6,5,4,3,1,2]=>11111110=>8
[9,10,1,2,3,4,5,6,7,8]=>010000000=>8
[8,9,10,1,2,3,4,5,6,7]=>001000000=>7
[10,8,9,1,2,3,4,5,6,7]=>101000000=>9
[10,9,8,1,2,3,4,5,6,7]=>111000000=>9
[7,8,9,10,1,2,3,4,5,6]=>000100000=>6
[10,7,8,9,1,2,3,4,5,6]=>100100000=>9
[9,10,7,8,1,2,3,4,5,6]=>010100000=>7
[10,9,7,8,1,2,3,4,5,6]=>110100000=>9
[10,9,8,7,1,2,3,4,5,6]=>111100000=>9
[10,6,7,8,9,1,2,3,4,5]=>100010000=>9
[9,10,6,7,8,1,2,3,4,5]=>010010000=>7
[10,9,6,7,8,1,2,3,4,5]=>110010000=>9
[10,8,9,6,7,1,2,3,4,5]=>101010000=>9
[10,9,8,6,7,1,2,3,4,5]=>111010000=>9
[10,9,8,7,6,1,2,3,4,5]=>111110000=>9
[9,10,5,6,7,8,1,2,3,4]=>010001000=>7
[10,9,5,6,7,8,1,2,3,4]=>110001000=>9
[8,9,10,5,6,7,1,2,3,4]=>001001000=>5
[10,9,8,5,6,7,1,2,3,4]=>111001000=>9
[9,10,7,8,5,6,1,2,3,4]=>010101000=>6
[10,9,7,8,5,6,1,2,3,4]=>110101000=>9
[10,9,8,7,5,6,1,2,3,4]=>111101000=>9
[10,9,8,7,6,5,1,2,3,4]=>111111000=>9
[10,7,8,9,4,5,6,1,2,3]=>100100100=>9
[9,10,7,8,4,5,6,1,2,3]=>010100100=>6
[10,9,7,8,4,5,6,1,2,3]=>110100100=>9
[10,9,8,7,4,5,6,1,2,3]=>111100100=>9
[10,8,9,6,7,4,5,1,2,3]=>101010100=>9
[10,9,8,6,7,4,5,1,2,3]=>111010100=>9
[10,9,8,7,6,4,5,1,2,3]=>111110100=>9
[10,9,8,7,6,5,4,1,2,3]=>111111100=>9
[9,10,7,8,5,6,3,4,1,2]=>010101010=>5
[10,9,7,8,5,6,3,4,1,2]=>110101010=>9
[10,9,8,7,5,6,3,4,1,2]=>111101010=>9
[10,9,8,7,6,5,3,4,1,2]=>111111010=>9
[10,9,8,7,6,5,4,3,1,2]=>111111110=>9
[3,4,6,2,7,1,5,8]=>0010100=>3
[3,6,2,5,4,1,7,8]=>0101100=>3
[3,2,7,5,4,1,6,8]=>1011100=>5
[4,3,6,2,8,1,5,7]=>1010100=>7
[6,1,2,5,4,7,8,3]=>1001001=>5
[6,2,4,5,1,3,7,8]=>1001000=>7
[4,2,8,5,1,3,7,6]=>1011001=>5
[4,3,6,8,1,7,2,5]=>1001010=>5
[5,3,6,4,1,7,2,8]=>1011010=>6
[6,2,1,5,8,3,7,4]=>1100101=>6
[1,6,7,4,8,3,5,2]=>0010101=>1
[1,4,6,3,7,5,8,2]=>0010101=>1
[4,6,7,2,5,8,1,3]=>0010010=>3
[2,4,6,1,7,5,3,8]=>0010110=>2
[2,7,5,4,1,6,3,8]=>0111010=>3
[7,5,4,6,2,8,1,3]=>1101010=>7
[1,7,5,4,3,8,6,2]=>0111011=>2
[1,4,6,3,5,8,7,2]=>0010011=>1
[1,5,8,4,3,6,7,2]=>0011001=>2
[5,4,6,2,7,8,1,3]=>1010010=>6
[2,5,4,1,6,7,3,8]=>0110010=>4
[5,6,3,2,7,1,4,8]=>0110100=>4
[5,6,3,2,7,1,8,4]=>0110101=>3
[8,5,6,3,2,7,1,4]=>1011010=>6
[5,4,6,2,8,1,7,3]=>1010101=>4
[2,4,1,7,8,5,3,6]=>0100110=>3
[2,5,4,1,6,3,8,7]=>0110101=>3
[5,6,3,2,1,8,4,7]=>0111010=>3
[3,5,2,1,6,4,7,8]=>0110100=>4
[6,8,4,3,2,1,5,7]=>0111100=>3
[5,3,8,2,1,6,4,7]=>1011010=>6
[3,7,5,8,2,1,4,6]=>0101100=>3
[7,3,2,8,5,1,6,4]=>1101101=>5
[8,4,6,3,2,1,7,5]=>1011101=>4
[8,6,4,3,2,1,7,5]=>1111101=>6
[7,6,4,3,2,1,8,5]=>1111101=>6
[7,8,4,3,2,1,6,5]=>0111101=>2
[5,4,7,2,1,8,6,3]=>1011011=>3
[7,5,8,3,2,6,1,4]=>1011010=>6
[5,7,3,2,1,6,8,4]=>0111001=>3
[5,7,3,2,1,6,4,8]=>0111010=>3
[6,3,7,2,5,1,8,4]=>1010101=>4
[6,7,8,3,5,2,1,4]=>0010110=>2
[6,2,5,7,8,4,1,3]=>1000110=>5
[2,1,5,7,8,6,3,4]=>1000110=>5
[3,6,7,2,8,1,4,5]=>0010100=>3
[6,3,7,2,8,1,4,5]=>1010100=>7
[3,2,6,1,7,4,5,8]=>1010100=>7
[3,5,2,1,4,7,6,8]=>0110010=>4
[7,3,5,2,1,8,4,6]=>1011010=>6
[2,5,4,1,3,7,8,6]=>0110001=>4
[2,5,8,4,1,3,7,6]=>0011001=>2
[2,4,1,7,8,3,6,5]=>0100101=>2
[3,7,2,8,6,1,4,5]=>0101100=>3
[3,6,8,2,1,7,4,5]=>0011010=>2
[5,3,8,2,1,4,7,6]=>1011001=>5
[4,8,7,3,2,1,5,6]=>0111100=>3
[4,7,3,2,1,5,6,8]=>0111000=>4
[8,4,7,3,2,1,5,6]=>1011100=>5
[8,3,5,2,1,4,7,6]=>1011001=>5
[7,3,2,8,6,1,4,5]=>1101100=>7
[3,5,2,1,4,6,8,7]=>0110001=>4
[7,8,6,5,4,3,2,1,9]=>01111110=>2
[1,8,9,7,6,5,4,3,2]=>00111111=>1
[8,9,7,6,5,4,3,2,1,10]=>011111110=>2
[7,6,8,5,4,3,2,1,9]=>10111110=>4
[6,8,7,5,4,3,2,1,9]=>01111110=>2
[1,8,7,9,6,5,4,3,2]=>01011111=>1
[1,7,9,8,6,5,4,3,2]=>00111111=>1
[1,9,10,8,7,6,5,4,3,2]=>001111111=>1
[7,8,3,5,4,6,1,2]=>0101010=>4
[8,6,3,7,5,2,4,1]=>1101101=>5
[5,4,1,6,3,2,8,7]=>1101101=>5
[5,4,1,6,2,3,8,7]=>1101001=>6
[5,7,1,6,2,8,3,4]=>0101010=>4
[5,7,1,6,2,8,4,3]=>0101011=>1
[2,7,6,5,1,8,3,4]=>0111010=>3
[2,7,6,5,1,8,4,3]=>0111011=>2
[2,3,6,5,1,4,8,7]=>0011001=>2
[2,3,6,4,1,5,8,7]=>0011001=>2
[2,3,6,1,5,4,8,7]=>0010101=>1
[2,7,6,1,4,8,5,3]=>0110011=>2
[2,7,6,1,4,8,3,5]=>0110010=>4
[7,3,5,1,8,4,2,6]=>1010110=>5
[7,3,5,1,8,6,4,2]=>1010111=>3
[2,7,6,1,5,8,4,3]=>0110011=>2
[2,7,6,4,1,8,5,3]=>0111011=>2
[2,1,7,6,3,8,5,4]=>1011011=>3
[2,1,7,6,3,8,4,5]=>1011010=>6
[5,7,3,6,2,8,4,1]=>0101011=>1
[2,7,6,4,1,8,3,5]=>0111010=>3
[7,3,5,1,8,6,2,4]=>1010110=>5
[6,3,5,1,8,2,4,7]=>1010100=>7
[2,3,4,8,7,6,1,5]=>0001110=>2
[2,3,4,8,5,7,1,6]=>0001010=>2
[7,3,5,4,8,1,2,6]=>1010100=>7
[6,4,3,5,8,7,2,1]=>1100111=>4
[2,1,4,5,8,7,3,6]=>1000110=>5
[6,4,3,5,8,7,1,2]=>1100110=>6
[7,3,5,4,8,1,6,2]=>1010101=>4
[2,3,4,8,7,5,6,1]=>0001101=>1
[2,3,4,8,7,5,1,6]=>0001110=>2
[2,7,6,5,4,8,1,3]=>0111010=>3
[7,3,5,6,8,4,1,2]=>1000110=>5
[7,3,5,6,8,1,4,2]=>1000101=>5
[7,3,5,6,8,1,2,4]=>1000100=>6
[6,4,1,5,8,7,2,3]=>1100110=>6
[6,4,1,5,8,7,3,2]=>1100111=>4
[6,4,1,5,8,3,7,2]=>1100101=>6
[5,7,1,6,3,8,2,4]=>0101010=>4
[6,4,1,5,8,3,2,7]=>1100110=>6
[7,4,1,5,8,2,3,6]=>1100100=>7
[7,4,1,5,8,2,6,3]=>1100101=>6
[6,3,5,7,8,2,1,4]=>1000110=>5
[6,3,5,7,8,2,4,1]=>1000101=>5
[2,7,6,4,5,8,3,1]=>0110011=>2
[5,7,3,6,1,8,4,2]=>0101011=>1
[2,1,4,5,8,6,3,7]=>1000110=>5
[7,3,5,4,8,6,2,1]=>1010111=>3
[2,3,4,8,5,6,1,7]=>0001010=>2
[2,3,4,8,7,1,6,5]=>0001101=>1
[2,3,4,8,1,7,6,5]=>0001011=>1
[2,3,4,8,1,6,7,5]=>0001001=>1
[2,3,4,8,5,1,7,6]=>0001101=>1
[6,3,5,4,8,2,7,1]=>1010101=>4
[7,4,3,5,8,2,1,6]=>1100110=>6
[2,1,4,5,8,3,7,6]=>1000101=>5
[7,4,3,5,8,2,6,1]=>1100101=>6
[6,3,5,4,8,2,1,7]=>1010110=>5
[2,3,4,8,5,1,6,7]=>0001100=>3
[2,3,4,8,1,6,5,7]=>0001010=>2
[2,3,4,8,1,5,7,6]=>0001001=>1
[7,8,2,6,1,5,3,4]=>0101010=>4
[7,8,1,6,2,5,3,4]=>0101010=>4
[1,8,6,7,2,5,3,4]=>0101010=>4
[1,8,5,7,2,6,3,4]=>0101010=>4
[5,8,1,7,2,6,3,4]=>0101010=>4
[5,8,2,7,1,6,3,4]=>0101010=>4
[2,8,6,7,1,5,3,4]=>0101010=>4
[2,8,5,7,1,6,3,4]=>0101010=>4
[2,8,1,7,5,6,3,4]=>0101010=>4
[1,8,2,7,5,6,3,4]=>0101010=>4
[1,8,2,7,4,6,3,5]=>0101010=>4
[2,8,1,7,4,6,3,5]=>0101010=>4
[2,8,4,7,1,6,3,5]=>0101010=>4
[4,8,2,7,1,6,3,5]=>0101010=>4
[4,8,1,7,2,6,3,5]=>0101010=>4
[1,8,4,7,2,6,3,5]=>0101010=>4
[4,8,1,7,5,6,2,3]=>0101010=>4
[1,8,4,7,5,6,2,3]=>0101010=>4
[1,8,3,7,5,6,2,4]=>0101010=>4
[3,8,1,7,5,6,2,4]=>0101010=>4
[3,8,1,7,4,6,2,5]=>0101010=>4
[1,8,3,7,4,6,2,5]=>0101010=>4
[1,8,3,7,2,6,4,5]=>0101010=>4
[3,8,1,7,2,6,4,5]=>0101010=>4
[3,8,2,7,1,6,4,5]=>0101010=>4
[3,8,2,7,4,6,1,5]=>0101010=>4
[3,8,2,7,5,6,1,4]=>0101010=>4
[4,8,2,7,5,6,1,3]=>0101010=>4
[4,8,3,7,5,6,1,2]=>0101010=>4
[3,8,4,7,5,6,1,2]=>0101010=>4
[2,8,4,7,5,6,1,3]=>0101010=>4
[2,8,3,7,5,6,1,4]=>0101010=>4
[2,8,3,7,4,6,1,5]=>0101010=>4
[2,8,3,7,1,6,4,5]=>0101010=>4
[2,8,1,7,3,6,4,5]=>0101010=>4
[7,5,2,8,6,4,1,3]=>1101110=>6
[7,5,1,8,6,2,3,4]=>1101100=>7
[7,4,8,6,1,5,2,3]=>1011010=>6
[7,1,8,4,5,2,6,3]=>1010101=>4
[6,8,1,7,4,2,5,3]=>0101101=>2
[1,6,7,4,2,8,5,3]=>0011011=>1
[1,6,7,3,8,5,2,4]=>0010110=>2
[7,1,8,3,5,6,2,4]=>1010010=>6
[7,3,8,6,2,5,1,4]=>1011010=>6
[7,4,2,8,6,1,3,5]=>1101100=>7
[7,3,1,8,4,2,5,6]=>1101100=>7
[7,2,8,4,1,5,3,6]=>1011010=>6
[7,2,8,3,5,1,6,4]=>1010101=>4
[7,2,8,3,4,6,1,5]=>1010010=>6
[1,5,7,8,2,6,3,4]=>0001010=>2
[6,2,3,8,5,7,4,1]=>1001011=>4
[6,2,4,8,5,3,1,7]=>1001110=>4
[6,3,1,4,8,5,2,7]=>1100110=>6
[2,6,3,7,8,5,4,1]=>0100111=>2
[2,6,3,7,8,4,5,1]=>0100101=>2
[2,4,7,3,5,6,8,1]=>0010001=>2
[2,4,7,3,6,8,5,1]=>0010011=>1
[2,5,3,7,8,1,6,4]=>0100101=>2
[3,1,5,4,7,8,2,6]=>1010010=>6
[5,3,1,4,8,2,6,7]=>1100100=>7
[5,2,4,8,6,1,3,7]=>1001100=>6
[5,2,3,8,4,6,7,1]=>1001001=>5
[4,8,2,3,6,1,7,5]=>0100101=>2
[4,8,2,3,5,7,1,6]=>0100010=>4
[1,4,7,8,3,6,2,5]=>0001010=>2
[4,8,1,3,6,7,2,5]=>0100010=>4
[5,3,8,2,4,7,1,6]=>1010010=>6
[5,4,3,8,1,2,7,6]=>1101001=>6
[6,4,2,8,1,3,7,5]=>1101001=>6
[6,3,8,2,5,1,7,4]=>1010101=>4
[6,3,8,1,4,7,2,5]=>1010010=>6
[5,8,1,3,6,2,7,4]=>0100101=>2
[1,5,7,4,2,6,8,3]=>0011001=>2
[5,8,1,4,2,6,3,7]=>0101010=>4
[5,8,4,1,2,7,6,3]=>0110011=>2
[6,5,1,2,8,7,3,4]=>1100110=>6
[6,5,3,1,4,2,8,7]=>1110101=>6
[5,3,1,6,4,2,7,8]=>1101100=>7
[5,2,6,4,1,7,3,8]=>1011010=>6
[4,6,1,7,5,2,8,3]=>0101101=>2
[4,5,1,7,2,6,3,8]=>0101010=>4
[3,5,6,1,2,8,7,4]=>0010011=>1
[3,5,7,1,8,6,2,4]=>0010110=>2
[3,6,2,7,5,1,8,4]=>0101101=>2
[4,2,5,7,1,8,6,3]=>1001011=>4
[3,4,7,2,8,6,1,5]=>0010110=>2
[3,4,5,8,2,7,1,6]=>0001010=>2
[3,4,6,2,8,1,5,7]=>0010100=>3
[3,5,2,6,8,1,7,4]=>0100101=>2
[4,2,5,6,1,3,8,7]=>1001001=>5
[4,3,1,2,5,6,8,7]=>1100001=>6
[5,3,6,8,4,7,2,1]=>1001011=>4
[3,7,2,5,4,8,6,1]=>0101011=>1
[8,4,2,5,7,3,6,1]=>1100101=>6
[3,1,6,5,4,8,2,7]=>1011010=>6
[4,1,6,5,8,3,2,7]=>1010110=>5
[5,1,6,8,4,3,2,7]=>1001110=>4
[8,5,4,7,6,3,2,1]=>1101111=>3
[2,7,1,5,4,3,8,6]=>0101101=>2
[8,2,1,5,4,3,7,6]=>1101101=>5
[8,4,1,5,7,3,2,6]=>1100110=>6
[8,4,6,1,7,3,2,5]=>1010110=>5
[8,3,6,1,4,7,2,5]=>1010010=>6
[2,7,6,1,4,3,8,5]=>0110101=>3
[6,7,8,5,1,3,2,4]=>0011010=>2
[5,7,2,8,4,3,6,1]=>0101101=>2
[6,7,8,2,4,3,5,1]=>0010101=>1
[4,7,6,2,8,3,5,1]=>0110101=>3
[8,3,6,2,4,7,5,1]=>1010011=>5
[3,7,6,2,4,8,5,1]=>0110011=>2
[5,7,3,8,4,6,2,1]=>0101011=>1
[4,7,3,5,8,6,2,1]=>0100111=>2
[8,7,2,1,4,3,6,5]=>1110101=>6
[8,7,3,1,4,6,2,5]=>1110010=>7
[8,7,6,3,2,5,4,1]=>1111011=>5
[8,7,3,5,1,6,2,4]=>1101010=>7
[8,7,2,5,1,3,6,4]=>1101001=>6
[8,4,6,5,7,1,2,3]=>1010100=>7
[4,7,6,5,8,1,2,3]=>0110100=>4
[3,7,6,5,1,8,2,4]=>0111010=>3
[8,1,2,3,4,5,6,7,9]=>10000000=>8
[1,9,2,3,4,5,6,7,8]=>01000000=>7
[9,1,2,3,4,5,6,7,8,10]=>100000000=>9
[7,8,1,2,3,4,5,6,9]=>01000000=>7
[1,8,9,2,3,4,5,6,7]=>00100000=>6
[1,10,2,3,4,5,6,7,8,9]=>010000000=>8
[10,1,2,3,4,5,6,7,8,9,11]=>1000000000=>10
[8,9,1,2,3,4,5,6,7,10]=>010000000=>8
[7,1,8,2,3,4,5,6,9]=>10100000=>8
[6,8,1,2,3,4,5,7,9]=>01000000=>7
[1,8,2,9,3,4,5,6,7]=>01010000=>6
[1,7,9,2,3,4,5,6,8]=>00100000=>6
[1,9,10,2,3,4,5,6,7,8]=>001000000=>7
[3,6,4,8,7,5,1,2]=>0101110=>2
[5,6,4,3,8,7,1,2]=>0110110=>3
[1,6,2,4,7,8,5,3]=>0100011=>3
[3,6,2,4,8,1,5,7]=>0100100=>5
[3,4,7,2,8,1,6,5]=>0010101=>1
[1,4,7,2,5,8,6,3]=>0010011=>1
[7,3,8,4,5,6,1,2]=>1010010=>6
[3,5,6,4,8,7,1,2]=>0010110=>2
[4,6,8,5,3,7,1,2]=>0011010=>2
[6,8,5,3,4,7,1,2]=>0110010=>4
[1,6,5,4,2,8,7,3]=>0111011=>2
[1,8,5,2,7,3,6,4]=>0110101=>3
[4,2,7,5,1,8,6,3]=>1011011=>3
[7,8,1,4,2,6,5,3]=>0101011=>1
[1,3,6,4,8,2,5,7]=>0010100=>3
[4,1,7,5,3,2,6,8]=>1011100=>5
[6,5,1,3,4,2,8,7]=>1100101=>6
[4,8,5,3,1,7,2,6]=>0111010=>3
[7,4,5,3,2,8,1,6]=>1011010=>6
[5,8,3,6,1,4,2,7]=>0101010=>4
[2,5,8,6,4,1,3,7]=>0011100=>3
[1,4,6,2,5,8,3,7]=>0010010=>3
[3,6,2,5,8,1,7,4]=>0100101=>2
[1,6,8,7,4,2,3,5]=>0011100=>3
[6,1,7,8,2,4,3,5]=>1001010=>5
[7,1,8,6,3,4,2,5]=>1011010=>6
[7,2,1,4,5,6,8,3]=>1100001=>6
[1,2,8,3,6,5,7,4]=>0010101=>1
[6,1,3,2,7,5,8,4]=>1010101=>4
[1,6,3,8,5,7,2,4]=>0101010=>4
[2,6,4,1,7,5,8,3]=>0110101=>3
[7,6,5,8,1,4,2,3]=>1101010=>7
[5,8,6,7,3,2,1,4]=>0101110=>2
[1,6,4,3,7,2,8,5]=>0110101=>3
[2,6,3,4,8,7,1,5]=>0100110=>3
[7,1,3,4,5,2,8,6]=>1000101=>5
[1,8,3,5,4,2,7,6]=>0101101=>2
[4,1,6,3,8,2,7,5]=>1010101=>4
[7,8,2,4,6,3,1,5]=>0100110=>3
[3,2,6,4,7,8,1,5]=>1010010=>6
[2,8,5,7,4,3,1,6]=>0101110=>2
[7,2,5,8,3,4,1,6]=>1001010=>5
[5,3,8,7,1,2,6,4]=>1011001=>5
[6,5,3,8,2,1,7,4]=>1101101=>5
[7,5,8,4,1,2,3,6]=>1011000=>6
[5,8,7,4,1,3,2,6]=>0111010=>3
[3,5,7,8,4,1,2,6]=>0001100=>3
[1,4,7,5,3,8,2,6]=>0011010=>2
[2,4,6,7,3,1,8,5]=>0001101=>1
[7,8,4,6,3,1,2,5]=>0101100=>3
[2,6,4,5,3,8,1,7]=>0101010=>4
[3,6,5,8,4,2,1,7]=>0101110=>2
[5,6,8,4,2,3,1,7]=>0011010=>2
[6,8,5,4,3,1,2,7]=>0111100=>3
[6,1,4,2,8,5,7,3]=>1010101=>4
[4,8,6,5,3,2,7,1]=>0111101=>2
[8,6,5,1,2,4,7,3]=>1110001=>6
[6,7,5,8,2,1,4,3]=>0101101=>2
[1,7,5,8,2,6,4,3]=>0101011=>1
[1,3,8,5,7,6,2,4]=>0010110=>2
[6,3,8,5,7,1,2,4]=>1010100=>7
[8,3,1,5,6,2,7,4]=>1100101=>6
[6,8,5,2,1,4,7,3]=>0111001=>3
[3,8,2,5,6,1,7,4]=>0100101=>2
[2,8,1,5,6,3,7,4]=>0100101=>2
[8,1,2,5,6,3,7,4]=>1000101=>5
[1,8,2,5,7,6,3,4]=>0100110=>3
[5,1,8,6,2,7,3,4]=>1011010=>6
[2,5,8,6,1,7,3,4]=>0011010=>2
[8,6,1,5,7,2,3,4]=>1100100=>7
[3,8,6,5,7,1,2,4]=>0110100=>4
[7,6,5,8,1,2,4,3]=>1101001=>6
[5,1,7,6,8,4,2,3]=>1010110=>5
[5,1,3,7,8,6,2,4]=>1000110=>5
[7,2,5,8,1,6,4,3]=>1001011=>4
[3,2,8,5,7,6,1,4]=>1010110=>5
[8,2,1,5,7,6,3,4]=>1100110=>6
[5,2,8,6,1,7,3,4]=>1011010=>6
[1,2,8,6,5,7,3,4]=>0011010=>2
[4,2,1,3,6,7,8,5]=>1100001=>6
[8,2,5,6,3,7,1,4]=>1001010=>5
[7,2,6,5,4,1,8,3]=>1011101=>4
[6,1,3,5,4,7,8,2]=>1001001=>5
[6,1,5,3,4,7,8,2]=>1010001=>6
[7,5,6,2,4,1,8,3]=>1010101=>4
[8,5,2,6,3,7,1,4]=>1101010=>7
[4,3,1,2,6,7,8,5]=>1100001=>6
[8,1,6,5,7,3,2,4]=>1010110=>5
[3,5,8,6,2,7,1,4]=>0011010=>2
[5,8,1,6,3,7,2,4]=>0101010=>4
[1,8,5,6,3,7,2,4]=>0101010=>4
[1,7,6,5,4,2,8,3]=>0111101=>2
[5,7,6,1,4,2,8,3]=>0110101=>3
[7,1,4,2,6,5,8,3]=>1010101=>4
[4,1,7,3,5,6,8,2]=>1010001=>6
[2,7,4,1,5,6,8,3]=>0110001=>4
[5,7,6,4,1,2,8,3]=>0111001=>3
[4,7,6,1,5,2,8,3]=>0110101=>3
[1,7,6,4,5,2,8,3]=>0110101=>3
[1,8,3,6,5,7,2,4]=>0101010=>4
[3,8,1,6,5,7,2,4]=>0101010=>4
[8,1,3,5,7,6,2,4]=>1000110=>5
[7,8,5,4,1,6,2,3]=>0111010=>3
[6,1,5,4,3,7,8,2]=>1011001=>5
[7,5,6,4,2,1,8,3]=>1011101=>4
[8,3,2,6,5,7,1,4]=>1101010=>7
[7,4,6,2,5,1,8,3]=>1010101=>4
[6,1,4,3,5,7,8,2]=>1010001=>6
[6,1,3,4,5,7,8,2]=>1000001=>6
[7,2,6,4,5,1,8,3]=>1010101=>4
[8,2,3,6,5,7,1,4]=>1001010=>5
[5,4,7,3,6,8,1,2]=>1010010=>6
[3,4,7,8,5,6,1,2]=>0001010=>2
[3,4,7,2,5,1,6,8]=>0010100=>3
[1,4,7,2,5,8,3,6]=>0010010=>3
[3,6,2,4,7,1,5,8]=>0100100=>5
[6,8,3,4,5,7,1,2]=>0100010=>4
[4,3,6,7,5,8,1,2]=>1001010=>5
[6,3,7,5,8,4,1,2]=>1010110=>5
[7,3,8,6,4,5,1,2]=>1011010=>6
[3,2,7,6,5,1,4,8]=>1011100=>5
[1,2,7,6,5,8,3,4]=>0011010=>2
[4,8,2,6,1,5,3,7]=>0101010=>4
[2,3,8,6,4,1,5,7]=>0011100=>3
[4,3,6,2,5,1,8,7]=>1010101=>4
[7,8,3,2,5,1,4,6]=>0110100=>4
[7,8,1,2,5,6,3,4]=>0100010=>4
[4,1,6,2,5,7,3,8]=>1010010=>6
[6,1,2,5,8,7,3,4]=>1000110=>5
[2,1,8,6,4,7,3,5]=>1011010=>6
[7,1,3,6,8,4,2,5]=>1000110=>5
[1,8,3,6,7,4,5,2]=>0100101=>2
[7,1,5,8,3,6,2,4]=>1001010=>5
[5,1,8,7,2,3,6,4]=>1011001=>5
[6,1,5,7,4,2,8,3]=>1001101=>4
[3,1,6,4,7,2,5,8]=>1010100=>7
[2,4,7,5,1,8,3,6]=>0011010=>2
[6,5,7,1,4,2,3,8]=>1010100=>7
[5,6,8,1,3,2,4,7]=>0010100=>3
[6,8,5,1,3,4,2,7]=>0110010=>4
[2,8,3,4,5,1,7,6]=>0100101=>2
[6,2,4,3,1,5,7,8]=>1011000=>6
[4,2,8,3,1,7,5,6]=>1011010=>6
[1,3,7,4,8,2,5,6]=>0010100=>3
[5,3,7,4,1,6,2,8]=>1011010=>6
[2,4,7,3,6,1,8,5]=>0010101=>1
[5,8,7,6,3,1,2,4]=>0111100=>3
[7,5,6,8,1,4,3,2]=>1001011=>4
[2,4,7,1,6,5,3,8]=>0010110=>2
[1,2,7,8,5,4,3,6]=>0001110=>2
[6,3,1,2,8,4,5,7]=>1100100=>7
[4,2,1,3,6,5,8,7]=>1100101=>6
[2,8,1,4,5,6,3,7]=>0100010=>4
[7,2,1,5,4,6,3,8]=>1101010=>7
[4,2,6,1,8,5,3,7]=>1010110=>5
[7,8,2,1,4,5,3,6]=>0110010=>4
[7,8,4,1,5,3,6,2]=>0110101=>3
[3,4,6,1,5,8,7,2]=>0010011=>1
[7,5,1,6,4,3,8,2]=>1101101=>5
[5,8,1,6,3,4,7,2]=>0101001=>3
[6,5,1,8,2,7,4,3]=>1101011=>5
[6,8,1,7,5,2,3,4]=>0101100=>3
[7,6,1,8,5,3,2,4]=>1101110=>6
[5,6,1,7,4,8,2,3]=>0101010=>4
[3,6,1,5,7,4,2,8]=>0100110=>3
[2,5,6,1,7,4,8,3]=>0010101=>1
[3,1,7,5,6,4,8,2]=>1010101=>4
[5,1,7,6,4,8,3,2]=>1011011=>3
[6,1,7,8,5,3,4,2]=>1001101=>4
[7,1,8,6,5,4,2,3]=>1011110=>4
[2,6,5,7,3,4,8,1]=>0101001=>3
[1,6,4,7,5,8,2,3]=>0101010=>4
[8,5,3,6,2,7,4,1]=>1101011=>5
[1,3,7,4,6,8,2,5]=>0010010=>3
[4,7,5,6,3,2,8,1]=>0101101=>2
[1,7,6,5,4,8,2,3]=>0111010=>3
[8,1,6,5,7,2,4,3]=>1010101=>4
[1,2,7,6,8,3,4,5]=>0010100=>3
[6,1,7,5,3,8,2,4]=>1011010=>6
[2,1,7,5,6,8,3,4]=>1010010=>6
[5,4,1,7,6,8,2,3]=>1101010=>7
[4,8,5,6,2,7,3,1]=>0101011=>1
[3,8,6,4,2,7,5,1]=>0111011=>2
[7,8,5,2,4,6,3,1]=>0110011=>2
[2,8,6,3,7,4,5,1]=>0110101=>3
[7,8,1,6,2,4,5,3]=>0101001=>3
[6,8,1,4,7,2,5,3]=>0100101=>2
[3,8,4,1,7,2,6,5]=>0110101=>3
[5,4,7,1,8,3,2,6]=>1010110=>5
[3,7,4,1,8,5,2,6]=>0110110=>3
[6,7,1,4,8,3,2,5]=>0100110=>3
[2,7,1,8,4,5,3,6]=>0101010=>4
[6,1,2,8,4,3,5,7]=>1001100=>6
[6,5,1,4,3,8,2,7]=>1101010=>7
[1,6,2,5,8,3,4,7]=>0100100=>5
[8,5,1,3,7,2,6,4]=>1100101=>6
[8,4,2,1,7,3,6,5]=>1110101=>6
[7,4,2,1,8,5,3,6]=>1110110=>7
[1,5,4,2,8,3,6,7]=>0110100=>4
[6,4,3,1,5,8,2,7]=>1110010=>7
[3,7,6,8,4,5,2,1]=>0101011=>1
[2,7,6,8,5,3,4,1]=>0101101=>2
[1,7,6,8,5,4,2,3]=>0101110=>2
[1,4,8,6,7,5,2,3]=>0010110=>2
[2,4,8,6,7,3,5,1]=>0010101=>1
[7,3,8,5,4,6,2,1]=>1011011=>3
[3,4,8,5,6,7,2,1]=>0010011=>1
[6,3,5,8,4,7,2,1]=>1001011=>4
[5,4,3,8,6,7,2,1]=>1101011=>5
[5,4,2,8,7,3,6,1]=>1101101=>5
[6,2,5,8,7,3,4,1]=>1001101=>4
[3,2,8,5,7,4,6,1]=>1010101=>4
[1,3,8,7,5,6,2,4]=>0011010=>2
[2,1,8,7,4,6,3,5]=>1011010=>6
[3,1,8,5,7,6,2,4]=>1010110=>5
[6,1,5,8,7,4,2,3]=>1001110=>4
[5,4,1,8,7,6,2,3]=>1101110=>6
[5,8,6,7,4,3,2,1]=>0101111=>1
[4,8,7,5,6,3,2,1]=>0110111=>1
[4,2,1,6,3,5,8,7]=>1101001=>6
[6,2,1,4,3,5,8,7]=>1101001=>6
[6,2,1,4,3,8,5,7]=>1101010=>7
[8,2,1,4,3,6,5,7]=>1101010=>7
[8,2,4,1,3,6,5,7]=>1010010=>6
[6,2,4,1,3,8,5,7]=>1010010=>6
[6,2,4,1,3,5,8,7]=>1010001=>6
[4,2,6,1,3,5,8,7]=>1010001=>6
[2,1,6,4,3,5,8,7]=>1011001=>5
[2,6,1,4,3,5,8,7]=>0101001=>3
[2,6,4,1,3,5,8,7]=>0110001=>4
[4,6,2,1,3,5,8,7]=>0110001=>4
[6,4,2,1,3,5,8,7]=>1110001=>6
[8,4,2,1,3,6,5,7]=>1110010=>7
[8,4,2,1,6,3,5,7]=>1110100=>7
[6,4,2,1,8,3,5,7]=>1110100=>7
[4,6,2,1,8,3,5,7]=>0110100=>4
[2,6,1,4,3,8,5,7]=>0101010=>4
[2,1,6,4,3,8,5,7]=>1011010=>6
[2,1,8,4,3,6,5,7]=>1011010=>6
[2,8,1,4,3,6,5,7]=>0101010=>4
[2,8,4,1,3,6,5,7]=>0110010=>4
[4,8,2,1,3,6,5,7]=>0110010=>4
[4,8,2,1,6,3,5,7]=>0110100=>4
[6,8,2,1,4,3,5,7]=>0110100=>4
[8,6,2,1,4,3,5,7]=>1110100=>7
[2,8,1,4,6,3,5,7]=>0100100=>5
[2,1,8,4,6,3,5,7]=>1010100=>7
[2,1,6,4,8,3,5,7]=>1010100=>7
[2,6,1,4,8,3,5,7]=>0100100=>5
[2,6,4,1,8,3,5,7]=>0110100=>4
[2,6,4,8,1,3,5,7]=>0101000=>5
[4,6,2,8,1,3,5,7]=>0101000=>5
[4,2,6,1,3,8,5,7]=>1010010=>6
[4,2,6,1,8,3,5,7]=>1010100=>7
[6,2,4,1,8,3,5,7]=>1010100=>7
[8,2,4,1,6,3,5,7]=>1010100=>7
[8,2,1,4,6,3,5,7]=>1100100=>7
[6,2,1,4,8,3,5,7]=>1100100=>7
[4,2,1,6,8,3,5,7]=>1100100=>7
[4,2,1,6,3,8,5,7]=>1101010=>7
[4,2,1,3,6,8,5,7]=>1100010=>7
[2,1,4,3,8,6,5,7]=>1010110=>5
[2,4,1,3,8,6,5,7]=>0100110=>3
[4,2,1,3,8,6,5,7]=>1100110=>6
[4,2,1,8,3,6,5,7]=>1101010=>7
[4,2,1,8,6,3,5,7]=>1101100=>7
[6,2,1,8,4,3,5,7]=>1101100=>7
[8,2,1,6,4,3,5,7]=>1101100=>7
[8,2,6,1,4,3,5,7]=>1010100=>7
[6,2,8,1,4,3,5,7]=>1010100=>7
[4,2,8,1,6,3,5,7]=>1010100=>7
[4,2,8,1,3,6,5,7]=>1010010=>6
[2,4,8,1,3,6,5,7]=>0010010=>3
[2,4,1,8,3,6,5,7]=>0101010=>4
[2,1,4,8,3,6,5,7]=>1001010=>5
[2,1,4,8,6,3,5,7]=>1001100=>6
[2,4,8,1,6,3,5,7]=>0010100=>3
[2,4,8,6,1,3,5,7]=>0011000=>4
[4,2,8,6,1,3,5,7]=>1011000=>6
[6,2,8,4,1,3,5,7]=>1011000=>6
[8,2,6,4,1,3,5,7]=>1011000=>6
[8,4,6,2,1,3,5,7]=>1011000=>6
[6,4,8,2,1,3,5,7]=>1011000=>6
[4,6,8,2,1,3,5,7]=>0011000=>4
[2,6,8,4,1,3,5,7]=>0011000=>4
[2,6,8,1,4,3,5,7]=>0010100=>3
[2,6,1,8,4,3,5,7]=>0101100=>3
[2,1,6,8,4,3,5,7]=>1001100=>6
[2,1,8,6,4,3,5,7]=>1011100=>5
[2,8,1,6,4,3,5,7]=>0101100=>3
[2,8,6,4,1,3,5,7]=>0111000=>4
[4,8,6,2,1,3,5,7]=>0111000=>4
[6,8,4,2,1,3,5,7]=>0111000=>4
[3,2,6,1,5,4,8,7]=>1010101=>4
[5,2,4,3,8,1,7,6]=>1010101=>4
[6,2,4,1,5,3,8,7]=>1010101=>4
[4,3,6,1,5,2,8,7]=>1010101=>4
[4,3,5,2,8,1,7,6]=>1010101=>4
[4,3,7,2,6,5,8,1]=>1010101=>4
[4,3,8,2,6,1,7,5]=>1010101=>4
[4,3,8,1,7,2,6,5]=>1010101=>4
[4,3,8,1,5,2,7,6]=>1010101=>4
[5,1,8,3,4,2,7,6]=>1010101=>4
[5,4,8,1,3,2,7,6]=>1010101=>4
[2,1,5,4,8,3,7,6]=>1010101=>4
[5,1,7,6,8,3,4,2]=>1010101=>4
[4,3,7,6,8,1,5,2]=>1010101=>4
[4,3,7,1,8,5,6,2]=>1010101=>4
[4,3,6,5,8,1,7,2]=>1010101=>4
[6,3,5,4,7,2,8,1]=>1010101=>4
[6,3,5,4,8,1,7,2]=>1010101=>4
[7,1,6,3,8,4,5,2]=>1010101=>4
[7,4,6,5,8,1,3,2]=>1010101=>4
[2,1,8,4,6,3,7,5]=>1010101=>4
[8,4,6,1,3,2,7,5]=>1010101=>4
[8,1,6,3,4,2,7,5]=>1010101=>4
[8,1,6,3,7,2,5,4]=>1010101=>4
[8,3,5,1,7,2,6,4]=>1010101=>4
[8,3,5,2,6,1,7,4]=>1010101=>4
[7,3,5,2,6,4,8,1]=>1010101=>4
[8,2,6,3,5,1,7,4]=>1010101=>4
[8,2,7,1,5,3,6,4]=>1010101=>4
[8,2,4,1,5,3,7,6]=>1010101=>4
[8,2,4,1,7,3,6,5]=>1010101=>4
[8,2,4,3,6,1,7,5]=>1010101=>4
[3,2,8,4,6,1,7,5]=>1010101=>4
[3,2,8,1,5,4,7,6]=>1010101=>4
[3,2,7,6,8,1,5,4]=>1010101=>4
[3,2,7,1,8,5,6,4]=>1010101=>4
[3,2,6,5,8,1,7,4]=>1010101=>4
[6,5,7,2,4,3,8,1]=>1010101=>4
[6,5,8,2,4,1,7,3]=>1010101=>4
[7,2,4,1,8,5,6,3]=>1010101=>4
[7,6,8,2,4,1,5,3]=>1010101=>4
[7,6,8,1,5,2,4,3]=>1010101=>4
[2,1,7,3,8,5,6,4]=>1010101=>4
[7,1,3,2,8,5,6,4]=>1010101=>4
[7,1,8,5,6,2,4,3]=>1010101=>4
[7,1,8,2,6,4,5,3]=>1010101=>4
[7,2,8,1,5,4,6,3]=>1010101=>4
[6,2,7,4,5,3,8,1]=>1010101=>4
[5,4,7,2,6,3,8,1]=>1010101=>4
[5,4,8,2,6,1,7,3]=>1010101=>4
[6,5,8,1,7,2,4,3]=>1010101=>4
[2,1,6,5,8,3,7,4]=>1010101=>4
[6,5,7,4,8,1,3,2]=>1010101=>4
[6,5,7,1,8,3,4,2]=>1010101=>4
[6,1,7,4,8,3,5,2]=>1010101=>4
[5,4,7,1,8,3,6,2]=>1010101=>4
[5,4,6,3,8,1,7,2]=>1010101=>4
[2,8,3,1,5,4,6,7]=>0110100=>4
[2,5,3,4,7,1,8,6]=>0100101=>2
[2,4,8,3,5,7,6,1]=>0010011=>1
[4,2,5,3,1,8,6,7]=>1011010=>6
[4,2,1,8,5,3,6,7]=>1101100=>7
[5,4,1,3,8,2,6,7]=>1100100=>7
[5,1,4,8,3,2,6,7]=>1001100=>6
[1,5,8,4,3,2,6,7]=>0011100=>3
[1,8,5,4,3,2,6,7]=>0111100=>3
[1,7,4,3,8,5,2,6]=>0110110=>3
[1,5,7,3,8,4,2,6]=>0010110=>2
[5,1,4,7,8,3,2,6]=>1000110=>5
[4,8,1,5,7,3,6,2]=>0100101=>2
[8,1,5,3,7,4,6,2]=>1010101=>4
[3,8,4,7,6,5,2,1]=>0101111=>1
[1,6,8,5,3,7,4,2]=>0011011=>1
[6,8,1,7,4,3,5,2]=>0101101=>2
[6,4,8,1,7,3,5,2]=>1010101=>4
[6,4,8,7,1,5,2,3]=>1011010=>6
[7,6,4,1,3,8,2,5]=>1110010=>7
[1,7,5,6,3,2,8,4]=>0101101=>2
[4,2,1,7,8,5,3,6]=>1100110=>6
[2,7,4,6,3,1,8,5]=>0101101=>2
[2,6,8,4,3,7,5,1]=>0011011=>1
[6,2,4,8,3,7,5,1]=>1001011=>4
[7,2,6,3,4,1,8,5]=>1010101=>4
[2,6,7,3,1,4,8,5]=>0011001=>2
[2,7,1,8,3,5,4,6]=>0101010=>4
[2,1,7,3,5,8,4,6]=>1010010=>6
[8,7,1,3,6,2,4,5]=>1100100=>7
[8,2,1,7,3,5,6,4]=>1101001=>6
[7,8,2,6,3,1,5,4]=>0101101=>2
[8,7,2,6,3,5,4,1]=>1101011=>5
[1,2,8,7,4,5,6,3]=>0011001=>2
[8,3,7,1,5,6,2,4]=>1010010=>6
[8,6,1,2,7,5,3,4]=>1100110=>6
[8,1,6,2,7,4,5,3]=>1010101=>4
[1,8,5,2,6,7,4,3]=>0110011=>2
[5,2,1,8,6,7,4,3]=>1101011=>5
[2,8,5,7,6,4,3,1]=>0101111=>1
[1,7,8,5,2,6,4,3]=>0011011=>1
[7,8,1,6,4,2,5,3]=>0101101=>2
[7,8,6,1,5,3,2,4]=>0110110=>3
[7,3,8,6,1,5,2,4]=>1011010=>6
[8,7,6,1,5,3,4,2]=>1110101=>6
[8,7,1,6,4,5,3,2]=>1101011=>5
[8,1,7,5,6,4,3,2]=>1010111=>3
[1,8,6,7,5,4,3,2]=>0101111=>1
[6,3,5,2,1,4,8,7]=>1011001=>5
[6,3,5,7,2,8,4,1]=>1001011=>4
[8,5,2,7,4,3,1,6]=>1101110=>6
[4,5,3,6,1,2,8,7]=>0101001=>3
[3,5,1,4,6,2,8,7]=>0100101=>2
[8,3,4,5,7,2,1,6]=>1000110=>5
[5,7,4,6,3,8,2,1]=>0101011=>1
[2,8,4,6,3,7,1,5]=>0101010=>4
[8,1,4,7,3,6,2,5]=>1001010=>5
[8,3,4,7,5,1,2,6]=>1001100=>6
[8,5,1,4,7,3,2,6]=>1100110=>6
[8,5,3,7,1,4,2,6]=>1101010=>7
[2,1,8,5,7,4,3,6]=>1010110=>5
[6,5,3,7,1,8,4,2]=>1101011=>5
[6,5,1,4,7,8,3,2]=>1100011=>5
[6,3,4,7,5,8,1,2]=>1001010=>5
[5,1,4,6,8,3,7,2]=>1000101=>5
[4,7,1,3,5,8,6,2]=>0100011=>3
[4,8,3,7,1,2,6,5]=>0101001=>3
[3,8,6,4,1,7,2,5]=>0111010=>3
[3,8,1,2,5,7,6,4]=>0100011=>3
[2,8,7,5,4,1,3,6]=>0111100=>3
[8,7,2,6,4,1,3,5]=>1101100=>7
[3,8,6,7,4,2,1,5]=>0101110=>2
[5,7,6,8,4,2,3,1]=>0101101=>2
[5,3,7,8,2,4,6,1]=>1001001=>5
[8,3,6,2,1,4,7,5]=>1011001=>5
[5,3,7,6,2,1,8,4]=>1011101=>4
[5,3,6,2,8,7,1,4]=>1010110=>5
[5,7,8,6,4,2,1,3]=>0011110=>2
[2,6,7,5,4,8,1,3]=>0011010=>2
[6,1,7,4,5,8,2,3]=>1010010=>6
[6,7,3,5,1,8,2,4]=>0101010=>4
[2,1,6,7,5,8,3,4]=>1001010=>5
[2,1,5,7,3,6,8,4]=>1001001=>5
[5,7,3,6,1,2,8,4]=>0101001=>3
[4,1,7,2,5,6,8,3]=>1010001=>6
[2,4,7,1,6,5,8,3]=>0010101=>1
[4,6,2,1,8,7,5,3]=>0110111=>1
[3,4,6,2,7,8,5,1]=>0010011=>1
[4,6,1,2,5,8,7,3]=>0100011=>3
[5,6,1,4,8,2,7,3]=>0100101=>2
[5,6,3,1,8,7,2,4]=>0110110=>3
[3,5,6,4,7,1,8,2]=>0010101=>1
[3,4,6,1,5,7,8,2]=>0010001=>2
[3,4,1,5,7,6,8,2]=>0100101=>2
[3,8,2,7,1,6,5,4]=>0101011=>1
[3,8,2,7,6,1,5,4]=>0101101=>2
[3,8,2,7,6,5,1,4]=>0101110=>2
[3,8,2,7,6,5,4,1]=>0101111=>1
[4,8,7,2,6,5,3,1]=>0110111=>1
[4,8,7,2,6,5,1,3]=>0110110=>3
[4,8,7,2,6,1,5,3]=>0110101=>3
[4,8,7,2,1,6,5,3]=>0111011=>2
[4,8,7,3,1,6,5,2]=>0111011=>2
[4,8,7,3,2,1,6,5]=>0111101=>2
[4,8,7,3,2,6,1,5]=>0111010=>3
[4,8,7,3,2,6,5,1]=>0111011=>2
[4,8,7,3,6,2,5,1]=>0110101=>3
[4,8,7,3,6,2,1,5]=>0110110=>3
[4,8,7,3,6,1,5,2]=>0110101=>3
[4,8,7,3,6,5,1,2]=>0110110=>3
[4,8,7,3,6,5,2,1]=>0110111=>1
[5,8,7,6,3,4,2,1]=>0111011=>2
[5,8,7,6,3,1,4,2]=>0111101=>2
[5,8,7,6,3,2,4,1]=>0111101=>2
[5,8,7,6,2,4,3,1]=>0111011=>2
[5,8,7,6,2,1,4,3]=>0111101=>2
[5,8,7,6,4,2,3,1]=>0111101=>2
[5,8,7,6,4,2,1,3]=>0111110=>2
[5,8,7,6,4,1,3,2]=>0111101=>2
[5,8,7,6,4,3,1,2]=>0111110=>2
[7,3,4,2,1,6,5,8]=>1011010=>6
[7,3,5,2,6,1,4,8]=>1010100=>7
[7,3,5,2,6,4,1,8]=>1010110=>5
[6,3,5,2,7,4,8,1]=>1010101=>4
[7,2,1,5,6,4,3,8]=>1100110=>6
[7,3,5,1,6,4,2,8]=>1010110=>5
[7,4,5,6,1,3,2,8]=>1001010=>5
[1,4,5,7,3,2,8,6]=>0001101=>1
[1,4,6,7,3,8,2,5]=>0001010=>2
[6,4,5,7,3,1,8,2]=>1001101=>4
[6,4,5,7,1,3,8,2]=>1001001=>5
[6,3,5,1,7,4,8,2]=>1010101=>4
[6,2,1,5,7,4,8,3]=>1100101=>6
[3,2,1,5,7,4,8,6]=>1100101=>6
[2,4,6,7,3,8,1,5]=>0001010=>2
[1,4,6,7,3,8,5,2]=>0001011=>1
[1,5,6,7,8,3,4,2]=>0000101=>1
[2,5,6,7,8,3,1,4]=>0000110=>2
[3,2,1,6,7,8,4,5]=>1100010=>7
[5,2,1,6,7,8,4,3]=>1100011=>5
[5,3,6,1,7,8,4,2]=>1010011=>5
[5,4,6,7,1,8,3,2]=>1001011=>4
[1,5,6,7,8,3,2,4]=>0000110=>2
[6,4,5,7,2,1,8,3]=>1001101=>4
[5,4,6,7,2,8,3,1]=>1001011=>4
[5,3,6,2,7,8,4,1]=>1010011=>5
[5,3,6,2,7,8,1,4]=>1010010=>6
[6,3,5,2,7,1,8,4]=>1010101=>4
[6,3,4,2,1,7,8,5]=>1011001=>5
[5,3,4,1,2,7,8,6]=>1010001=>6
[4,3,6,2,7,8,1,5]=>1010010=>6
[4,3,6,2,7,8,5,1]=>1010011=>5
[1,3,6,2,7,8,5,4]=>0010011=>1
[1,4,6,7,2,8,5,3]=>0001011=>1
[3,4,6,7,2,8,5,1]=>0001011=>1
[3,4,5,7,2,1,8,6]=>0001101=>1
[4,2,1,5,7,3,8,6]=>1100101=>6
[4,2,1,6,7,8,3,5]=>1100010=>7
[4,3,6,1,7,8,2,5]=>1010010=>6
[1,5,6,7,8,2,4,3]=>0000101=>1
[1,5,6,7,8,4,2,3]=>0000110=>2
[3,4,6,7,1,8,5,2]=>0001011=>1
[4,3,6,1,7,8,5,2]=>1010011=>5
[4,2,1,6,7,8,5,3]=>1100011=>5
[2,3,6,1,7,8,5,4]=>0010011=>1
[2,4,6,7,1,8,5,3]=>0001011=>1
[2,5,6,7,8,1,4,3]=>0000101=>1
[2,1,4,3,6,5,8,7,9]=>10101010=>8
[2,4,1,3,6,5,8,7,9]=>01001010=>4
[2,4,1,6,3,5,8,7,9]=>01010010=>5
[2,4,1,6,3,8,5,7,9]=>01010100=>5
[2,4,1,6,3,7,5,9,8]=>01010101=>4
[2,4,1,5,3,7,6,9,8]=>01010101=>4
[2,3,1,5,4,7,6,9,8]=>01010101=>4
[1,3,2,5,4,7,6,9,8]=>01010101=>4
[2,4,1,3,6,5,8,7,10,9]=>010010101=>2
[2,4,6,1,3,5,8,7,9]=>00100010=>4
[2,4,1,6,3,5,8,7,10,9]=>010100101=>3
[2,4,1,6,8,3,5,7,9]=>01001000=>6
[2,4,1,6,3,8,5,7,10,9]=>010101001=>4
[2,4,1,6,3,8,9,5,7]=>01010010=>5
[2,4,1,6,3,8,5,10,7,9]=>010101010=>5
[2,4,1,6,3,7,5,8,9]=>01010100=>5
[2,4,1,6,3,8,5,9,7,10]=>010101010=>5
[2,4,1,5,3,8,6,9,7]=>01010101=>4
[2,4,1,6,3,7,5,9,8,10]=>010101010=>5
[2,3,1,6,4,7,5,9,8]=>01010101=>4
[2,4,1,5,3,7,6,9,8,10]=>010101010=>5
[1,4,2,5,3,7,6,9,8]=>01010101=>4
[2,3,1,5,4,7,6,9,8,10]=>010101010=>5
[1,3,2,5,4,7,6,9,8,10]=>010101010=>5
[7,1,2,3,4,5,6,8,9]=>10000000=>8
[1,4,3,6,2,5,7,8]=>0101000=>5
[1,4,3,7,2,5,6,8]=>0101000=>5
[1,4,3,7,6,8,2,5]=>0101010=>4
[1,4,3,7,5,8,2,6]=>0101010=>4
[1,4,3,7,2,6,5,8]=>0101010=>4
[1,5,3,7,4,8,2,6]=>0101010=>4
[1,3,2,6,5,8,4,7]=>0101010=>4
[1,5,4,8,2,6,3,7]=>0101010=>4
[1,5,4,8,3,7,2,6]=>0101010=>4
[1,2,3,6,5,8,4,7]=>0001010=>2
[6,8,2,4,5,7,1,3]=>0100010=>4
[3,7,8,4,5,2,6,1]=>0010101=>1
[7,8,1,4,5,3,6,2]=>0100101=>2
[3,8,7,4,1,6,5,2]=>0111011=>2
[4,8,3,6,1,5,7,2]=>0101001=>3
[5,8,3,1,6,4,7,2]=>0110101=>3
[5,8,1,4,7,6,3,2]=>0100111=>2
[7,5,1,8,6,2,4,3]=>1101101=>5
[7,4,1,8,2,6,3,5]=>1101010=>7
[7,1,8,4,2,6,3,5]=>1011010=>6
[1,6,3,8,5,2,4,7]=>0101100=>3
[6,1,3,8,5,2,4,7]=>1001100=>6
[7,1,8,3,6,2,5,4]=>1010101=>4
[7,3,1,8,4,2,6,5]=>1101101=>5
[7,2,8,4,1,6,5,3]=>1011011=>3
[7,2,8,3,6,5,1,4]=>1010110=>5
[7,2,8,3,6,1,5,4]=>1010101=>4
[7,1,8,2,3,6,5,4]=>1010011=>5
[6,1,2,8,3,5,4,7]=>1001010=>5
[1,5,2,3,8,4,7,6]=>0100101=>2
[5,1,2,3,8,4,7,6]=>1000101=>5
[5,2,3,8,1,4,7,6]=>1001001=>5
[6,2,8,1,3,5,4,7]=>1010010=>6
[6,2,4,1,8,7,3,5]=>1010110=>5
[6,3,1,4,2,8,5,7]=>1101010=>7
[3,1,6,4,2,8,5,7]=>1011010=>6
[2,6,3,8,7,1,5,4]=>0101101=>2
[2,6,3,8,5,1,4,7]=>0101100=>3
[2,5,1,8,3,4,7,6]=>0101001=>3
[2,5,1,3,8,4,7,6]=>0100101=>2
[1,2,5,3,8,4,7,6]=>0010101=>1
[1,2,4,8,3,7,6,5]=>0001011=>1
[2,4,8,1,3,7,6,5]=>0010011=>1
[2,4,8,3,7,1,6,5]=>0010101=>1
[2,4,8,3,7,6,1,5]=>0010110=>2
[2,5,3,8,1,7,4,6]=>0101010=>4
[2,5,4,1,3,8,7,6]=>0110011=>2
[3,1,5,4,8,2,7,6]=>1010101=>4
[5,3,1,4,8,2,7,6]=>1100101=>6
[5,2,3,8,4,7,1,6]=>1001010=>5
[4,8,2,3,7,6,1,5]=>0100110=>3
[4,8,2,3,7,1,6,5]=>0100101=>2
[4,8,1,2,3,7,6,5]=>0100011=>3
[1,4,8,2,3,7,6,5]=>0010011=>1
[1,4,8,3,7,2,6,5]=>0010101=>1
[6,3,8,1,5,2,4,7]=>1010100=>7
[5,3,8,1,2,4,7,6]=>1010001=>6
[5,1,3,8,2,4,7,6]=>1001001=>5
[1,5,3,8,2,4,7,6]=>0101001=>3
[1,5,4,8,2,7,6,3]=>0101011=>1
[5,1,4,8,2,7,6,3]=>1001011=>4
[5,4,8,1,2,7,6,3]=>1010011=>5
[6,5,1,2,8,7,4,3]=>1100111=>4
[5,3,1,6,4,2,8,7]=>1101101=>5
[5,1,6,2,8,7,4,3]=>1010111=>3
[4,1,5,8,2,7,6,3]=>1001011=>4
[4,1,2,5,8,7,6,3]=>1000111=>4
[1,4,2,5,8,7,6,3]=>0100111=>2
[1,3,5,2,8,7,4,6]=>0010110=>2
[3,5,1,2,8,7,4,6]=>0100110=>3
[3,6,2,8,7,5,1,4]=>0101110=>2
[4,2,6,1,8,7,3,5]=>1010110=>5
[4,3,1,5,8,2,7,6]=>1100101=>6
[3,5,2,8,7,1,4,6]=>0101100=>3
[3,4,8,7,2,6,1,5]=>0011010=>2
[3,4,8,7,1,2,6,5]=>0011001=>2
[3,4,8,1,7,2,6,5]=>0010101=>1
[1,3,4,8,7,2,6,5]=>0001101=>1
[1,3,4,8,2,7,6,5]=>0001011=>1
[3,4,8,1,2,7,6,5]=>0010011=>1
[3,4,8,2,7,1,6,5]=>0010101=>1
[3,4,8,2,7,6,1,5]=>0010110=>2
[4,2,5,8,1,7,6,3]=>1001011=>4
[4,3,1,2,5,8,7,6]=>1100011=>5
[3,1,4,2,5,8,7,6]=>1010011=>5
[2,3,5,1,8,7,6,4]=>0010111=>1
[7,8,2,1,5,3,6,4]=>0110101=>3
[6,4,1,2,7,3,5,8]=>1100100=>7
[2,3,7,5,4,1,8,6]=>0011101=>1
[6,3,1,5,4,2,7,8]=>1101100=>7
[7,8,1,5,4,2,6,3]=>0101101=>2
[7,8,3,5,4,1,6,2]=>0101101=>2
[7,8,2,5,4,1,3,6]=>0101100=>3
[7,8,2,5,4,6,1,3]=>0101010=>4
[6,2,1,5,4,7,3,8]=>1101010=>7
[5,3,6,1,4,7,8,2]=>1010001=>6
[5,3,6,2,4,7,1,8]=>1010010=>6
[6,4,2,1,7,3,8,5]=>1110101=>6
[4,3,7,5,8,6,1,2]=>1010110=>5
[4,2,7,1,8,3,6,5]=>1010101=>4
[3,2,6,7,4,8,1,5]=>1001010=>5
[3,1,6,7,4,8,5,2]=>1001011=>4
[1,7,6,5,3,8,4,2]=>0111011=>2
[2,7,6,5,3,8,1,4]=>0111010=>3
[1,7,6,5,2,4,8,3]=>0111001=>3
[2,7,6,5,3,1,4,8]=>0111100=>3
[2,7,1,4,8,3,5,6]=>0100100=>5
[3,7,6,4,8,5,1,2]=>0110110=>3
[5,7,6,3,8,4,1,2]=>0110110=>3
[5,1,6,2,4,8,3,7]=>1010010=>6
[4,7,6,5,2,1,3,8]=>0111100=>3
[4,7,6,5,2,8,1,3]=>0111010=>3
[4,7,6,5,1,8,3,2]=>0111011=>2
[1,7,6,5,2,8,3,4]=>0111010=>3
[1,7,6,5,3,2,8,4]=>0111101=>2
[4,7,6,5,1,2,8,3]=>0111001=>3
[4,7,6,5,3,1,8,2]=>0111101=>2
[6,1,3,5,4,8,7,2]=>1001011=>4
[5,2,6,3,4,1,7,8]=>1010100=>7
[5,1,6,2,4,7,8,3]=>1010001=>6
[1,2,6,3,4,8,7,5]=>0010011=>1
[1,7,2,4,8,3,6,5]=>0100101=>2
[6,1,4,2,8,3,5,7]=>1010100=>7
[4,1,8,2,6,3,5,7]=>1010100=>7
[4,7,2,1,5,3,6,8]=>0110100=>4
[4,7,1,6,2,3,8,5]=>0101001=>3
[1,7,2,6,8,3,5,4]=>0100101=>2
[1,2,6,7,4,8,5,3]=>0001011=>1
[3,1,6,7,4,2,8,5]=>1001101=>4
[3,2,8,5,4,6,1,7]=>1011010=>6
[4,7,6,3,5,8,1,2]=>0110010=>4
[4,7,1,2,5,3,8,6]=>0100101=>2
[3,7,6,5,2,4,1,8]=>0111010=>3
[3,7,6,5,1,4,8,2]=>0111001=>3
[3,7,6,5,2,1,8,4]=>0111101=>2
[1,7,6,5,8,2,4,3]=>0110101=>3
[3,7,6,5,8,1,4,2]=>0110101=>3
[3,7,6,5,1,2,4,8]=>0111000=>4
[3,1,6,8,4,2,5,7]=>1001100=>6
[4,7,6,8,3,5,1,2]=>0101010=>4
[2,7,6,5,1,4,3,8]=>0111010=>3
[2,7,6,5,8,1,3,4]=>0110100=>4
[2,7,6,5,8,4,1,3]=>0110110=>3
[6,3,2,1,7,4,8,5]=>1110101=>6
[4,2,1,7,3,5,8,6]=>1101001=>6
[7,3,1,5,4,2,8,6]=>1101101=>5
[8,4,1,5,2,7,6,3]=>1101011=>5
[8,2,5,1,3,7,6,4]=>1010011=>5
[4,3,7,2,1,5,8,6]=>1011001=>5
[4,7,2,5,3,1,8,6]=>0101101=>2
[2,7,5,4,1,3,8,6]=>0111001=>3
[7,5,4,3,2,1,8,6]=>1111101=>6
[6,5,2,1,8,4,3,7]=>1110110=>7
[4,6,3,2,8,1,5,7]=>0110100=>4
[5,7,4,3,2,8,1,6]=>0111010=>3
[1,7,6,2,4,8,3,5]=>0110010=>4
[2,7,3,6,4,8,1,5]=>0101010=>4
[6,2,7,5,3,8,1,4]=>1011010=>6
[7,1,8,5,3,6,4,2]=>1011011=>3
[5,8,3,2,7,1,6,4]=>0110101=>3
[8,7,3,1,6,5,4,2]=>1110111=>4
[8,7,2,6,1,5,4,3]=>1101011=>5
[1,8,5,7,4,3,6,2]=>0101101=>2
[1,8,5,7,2,4,6,3]=>0101001=>3
[3,8,6,1,7,2,5,4]=>0110101=>3
[7,2,8,5,6,1,4,3]=>1010101=>4
[6,3,7,5,8,2,1,4]=>1010110=>5
[3,7,2,6,8,4,1,5]=>0100110=>3
[3,6,5,8,1,4,2,7]=>0101010=>4
[2,6,5,8,4,1,3,7]=>0101100=>3
[6,5,4,8,3,2,1,7]=>1101110=>6
[8,4,3,7,2,1,6,5]=>1101101=>5
[8,2,4,7,1,3,6,5]=>1001001=>5
[6,2,5,8,1,4,3,7]=>1001010=>5
[4,3,6,8,2,1,5,7]=>1001100=>6
[6,3,5,1,8,4,2,7]=>1010110=>5
[8,4,1,5,7,3,6,2]=>1100101=>6
[6,4,2,5,8,3,1,7]=>1100110=>6
[5,4,1,6,8,2,3,7]=>1100100=>7
[6,3,7,4,8,5,2,1]=>1010111=>3
[4,7,2,5,8,6,3,1]=>0100111=>2
[6,3,1,8,4,7,5,2]=>1101011=>5
[6,5,3,8,7,4,1,2]=>1101110=>6
[5,4,8,1,7,6,2,3]=>1010110=>5
[5,2,8,1,7,3,6,4]=>1010101=>4
[5,7,3,8,1,6,4,2]=>0101011=>1
[6,4,7,8,1,5,3,2]=>1001011=>4
[2,5,8,7,1,3,6,4]=>0011001=>2
[5,3,8,7,2,1,6,4]=>1011101=>4
[8,3,7,6,1,5,4,2]=>1011011=>3
[8,2,7,6,5,1,4,3]=>1011101=>4
[4,3,8,7,6,2,1,5]=>1011110=>4
[2,4,8,7,6,1,3,5]=>0011100=>3
[3,5,8,7,2,6,1,4]=>0011010=>2
[4,7,3,8,6,5,1,2]=>0101110=>2
[7,5,8,6,4,3,2,1]=>1011111=>2
[5,8,7,3,6,4,2,1]=>0110111=>1
[4,8,7,6,2,5,3,1]=>0111011=>2
[3,8,7,6,5,1,4,2]=>0111101=>2
[2,8,7,6,5,4,1,3]=>0111110=>2
[3,4,1,2,5,6,7,8,9]=>01000000=>7
[3,2,1,4,5,6,7,8,9]=>11000000=>8
[4,5,6,1,2,3,7,8,9]=>00100000=>6
[4,2,5,1,3,6,7,8,9]=>10100000=>8
[4,3,2,1,5,6,7,8,9]=>11100000=>8
[5,6,7,8,1,2,3,4,9]=>00010000=>5
[5,2,6,7,1,3,4,8,9]=>10010000=>8
[5,6,3,4,1,2,7,8,9]=>01010000=>6
[5,3,2,6,1,4,7,8,9]=>11010000=>8
[5,4,3,2,1,6,7,8,9]=>11110000=>8
[6,2,7,8,9,1,3,4,5]=>10001000=>8
[6,7,3,4,8,1,2,5,9]=>01001000=>6
[6,3,2,7,8,1,4,5,9]=>11001000=>8
[6,4,7,2,5,1,3,8,9]=>10101000=>8
[6,4,3,2,7,1,5,8,9]=>11101000=>8
[6,5,4,3,2,1,7,8,9]=>11111000=>8
[7,4,8,2,5,9,1,3,6]=>10100100=>8
[7,4,3,2,8,9,1,5,6]=>11100100=>8
[7,8,5,6,3,4,1,2,9]=>01010100=>5
[7,5,3,8,2,6,1,4,9]=>11010100=>8
[7,5,4,3,2,8,1,6,9]=>11110100=>8
[7,6,5,4,3,2,1,8,9]=>11111100=>8
[8,6,9,4,7,2,5,1,3]=>10101010=>8
[8,6,4,3,9,2,7,1,5]=>11101010=>8
[8,6,5,4,3,2,9,1,7]=>11111010=>8
[3,4,1,2,5,6,7,8,9,10]=>010000000=>8
[3,2,1,4,5,6,7,8,9,10]=>110000000=>9
[4,5,6,1,2,3,7,8,9,10]=>001000000=>7
[4,2,5,1,3,6,7,8,9,10]=>101000000=>9
[4,3,2,1,5,6,7,8,9,10]=>111000000=>9
[5,6,7,8,1,2,3,4,9,10]=>000100000=>6
[5,2,6,7,1,3,4,8,9,10]=>100100000=>9
[5,6,3,4,1,2,7,8,9,10]=>010100000=>7
[5,3,2,6,1,4,7,8,9,10]=>110100000=>9
[5,4,3,2,1,6,7,8,9,10]=>111100000=>9
[6,2,7,8,9,1,3,4,5,10]=>100010000=>9
[6,7,3,4,8,1,2,5,9,10]=>010010000=>7
[6,3,2,7,8,1,4,5,9,10]=>110010000=>9
[6,4,7,2,5,1,3,8,9,10]=>101010000=>9
[6,4,3,2,7,1,5,8,9,10]=>111010000=>9
[6,5,4,3,2,1,7,8,9,10]=>111110000=>9
[7,8,3,4,9,10,1,2,5,6]=>010001000=>7
[7,8,9,4,5,6,1,2,3,10]=>001001000=>5
[7,4,3,2,8,9,1,5,6,10]=>111001000=>9
[7,8,5,6,3,4,1,2,9,10]=>010101000=>6
[7,5,3,8,2,6,1,4,9,10]=>110101000=>9
[7,5,4,3,2,8,1,6,9,10]=>111101000=>9
[7,6,5,4,3,2,1,8,9,10]=>111111000=>9
[8,5,9,10,2,6,7,1,3,4]=>100100100=>9
[8,5,3,9,2,6,10,1,4,7]=>110100100=>9
[8,6,9,4,7,2,5,1,3,10]=>101010100=>9
[8,6,4,3,9,2,7,1,5,10]=>111010100=>9
[8,6,5,4,3,2,9,1,7,10]=>111110100=>9
[8,7,6,5,4,3,2,1,9,10]=>111111100=>9
[9,7,5,4,3,10,2,8,1,6]=>111101010=>9
[3,6,5,1,2,4,8,7]=>0110001=>4
[3,7,5,8,2,4,1,6]=>0101010=>4
[3,8,5,7,2,4,1,6]=>0101010=>4
[5,1,7,8,4,3,2,6]=>1001110=>4
[5,1,2,6,4,3,8,7]=>1001101=>4
[6,1,2,5,4,3,8,7]=>1001101=>4
[5,1,2,4,6,3,8,7]=>1000101=>5
[4,1,2,6,5,3,8,7]=>1001101=>4
[4,1,5,7,8,3,2,6]=>1000110=>5
[4,1,5,8,7,3,2,6]=>1001110=>4
[4,7,1,8,3,6,2,5]=>0101010=>4
[4,1,7,8,5,2,3,6]=>1001100=>6
[5,1,7,4,8,2,3,6]=>1010100=>7
[7,5,3,8,1,4,2,6]=>1101010=>7
[2,1,5,8,7,3,4,6]=>1001100=>6
[5,1,8,4,7,2,3,6]=>1010100=>7
[4,1,8,7,5,2,3,6]=>1011100=>5
[4,7,1,6,3,2,8,5]=>0101101=>2
[6,1,2,3,7,5,8,4]=>1000101=>5
[7,1,2,3,8,6,5,4]=>1000111=>4
[7,1,2,3,5,8,6,4]=>1000011=>5
[6,8,1,4,3,7,2,5]=>0101010=>4
[8,7,3,2,4,1,6,5]=>1110101=>6
[2,1,7,3,4,8,6,5]=>1010011=>5
[7,8,3,2,4,1,6,5]=>0110101=>3
[6,7,1,4,3,8,2,5]=>0101010=>4
[8,1,2,3,5,7,6,4]=>1000011=>5
[8,1,2,3,6,7,5,4]=>1000011=>5
[7,1,2,3,6,8,5,4]=>1000011=>5
[7,1,2,3,8,5,6,4]=>1000101=>5
[8,1,2,3,7,5,6,4]=>1000101=>5
[8,1,2,3,6,5,7,4]=>1000101=>5
[7,1,8,5,4,3,2,6]=>1011110=>4
[7,8,2,6,3,4,1,5]=>0101010=>4
[6,8,2,7,3,4,1,5]=>0101010=>4
[6,7,2,8,3,4,1,5]=>0101010=>4
[3,8,7,1,4,2,6,5]=>0110101=>3
[3,7,8,1,4,2,6,5]=>0010101=>1
[3,6,8,1,4,2,7,5]=>0010101=>1
[3,5,7,8,2,4,1,6]=>0001010=>2
[3,6,7,1,4,2,8,5]=>0010101=>1
[7,6,2,8,3,1,4,5]=>1101100=>7
[8,6,2,7,3,1,4,5]=>1101100=>7
[8,1,7,5,4,3,2,6]=>1011110=>4
[8,1,7,4,5,3,2,6]=>1010110=>5
[5,8,3,7,1,4,2,6]=>0101010=>4
[2,1,7,3,4,6,8,5]=>1010001=>6
[6,7,3,2,4,1,8,5]=>0110101=>3
[8,7,2,4,3,6,1,5]=>1101010=>7
[7,1,2,3,5,6,8,4]=>1000001=>6
[6,1,2,3,8,7,4,5]=>1000110=>5
[5,1,2,3,7,8,6,4]=>1000011=>5
[5,1,2,3,8,7,6,4]=>1000111=>4
[5,1,2,3,8,6,7,4]=>1000101=>5
[6,1,2,3,5,8,7,4]=>1000011=>5
[8,6,2,4,3,1,7,5]=>1101101=>5
[7,6,3,2,4,8,1,5]=>1110010=>7
[2,1,6,3,4,8,7,5]=>1010011=>5
[8,6,3,2,4,7,1,5]=>1110010=>7
[7,6,2,4,3,1,8,5]=>1101101=>5
[6,1,2,3,5,7,8,4]=>1000001=>6
[5,1,2,3,6,8,7,4]=>1000011=>5
[7,8,1,2,6,3,5,4]=>0100101=>2
[1,4,8,2,7,3,5,6]=>0010100=>3
[1,2,8,5,4,7,3,6]=>0011010=>2
[1,3,8,5,4,2,7,6]=>0011101=>1
[2,3,6,8,4,7,1,5]=>0001010=>2
[1,3,6,8,4,7,5,2]=>0001011=>1
[2,4,8,1,7,3,6,5]=>0010101=>1
[3,4,8,5,7,6,1,2]=>0010110=>2
[1,2,6,8,4,5,7,3]=>0001001=>1
[7,5,1,2,4,3,6,8]=>1100100=>7
[7,4,6,1,5,2,3,8]=>1010100=>7
[7,1,4,2,6,3,5,8]=>1010100=>7
[6,8,1,4,7,2,3,5]=>0100100=>5
[1,6,4,2,8,3,5,7]=>0110100=>4
[1,6,3,8,5,4,2,7]=>0101110=>2
[6,8,1,7,3,5,4,2]=>0101011=>1
[7,1,3,6,5,4,2,8]=>1001110=>4
[7,3,1,6,5,4,2,8]=>1101110=>6
[7,2,1,4,6,3,5,8]=>1100100=>7
[7,2,3,6,5,1,4,8]=>1001100=>6
[7,1,2,3,6,5,4,8]=>1000110=>5
[6,8,1,2,7,3,5,4]=>0100101=>2
[1,6,2,3,8,5,4,7]=>0100110=>3
[1,5,8,2,7,6,3,4]=>0010110=>2
[5,1,8,2,7,6,3,4]=>1010110=>5
[5,8,2,7,6,3,4,1]=>0101101=>2
[6,2,8,1,7,3,5,4]=>1010101=>4
[6,8,2,1,7,4,3,5]=>0110110=>3
[3,6,4,1,2,8,5,7]=>0110010=>4
[2,1,6,3,8,5,4,7]=>1010110=>5
[2,5,1,8,7,6,3,4]=>0101110=>2
[2,5,3,8,7,4,6,1]=>0101101=>2
[1,2,5,3,8,7,4,6]=>0010110=>2
[2,4,8,7,6,5,1,3]=>0011110=>2
[2,5,3,8,7,1,6,4]=>0101101=>2
[2,5,8,4,1,7,6,3]=>0011011=>1
[3,5,8,7,1,4,2,6]=>0011010=>2
[5,3,8,4,1,7,6,2]=>1011011=>3
[4,2,8,7,6,3,5,1]=>1011101=>4
[4,2,8,7,6,5,3,1]=>1011111=>2
[4,1,8,7,6,5,3,2]=>1011111=>2
[4,3,8,7,6,5,1,2]=>1011110=>4
[6,3,1,8,7,2,5,4]=>1101101=>5
[5,8,3,7,6,1,4,2]=>0101101=>2
[5,1,3,8,7,6,2,4]=>1001110=>4
[1,5,3,8,7,6,2,4]=>0101110=>2
[1,5,8,4,7,2,6,3]=>0010101=>1
[5,1,8,4,7,2,6,3]=>1010101=>4
[5,8,7,4,6,1,2,3]=>0110100=>4
[6,8,5,1,2,4,7,3]=>0110001=>4
[5,6,3,1,2,4,8,7]=>0110001=>4
[5,6,2,4,3,1,8,7]=>0101101=>2
[5,6,1,2,4,3,8,7]=>0100101=>2
[4,5,8,1,7,2,3,6]=>0010100=>3
[4,5,8,1,7,2,6,3]=>0010101=>1
[1,3,2,5,8,7,4,6]=>0100110=>3
[3,5,1,8,7,4,6,2]=>0101101=>2
[3,5,1,8,7,2,6,4]=>0101101=>2
[4,3,6,1,2,8,5,7]=>1010010=>6
[4,5,8,3,1,7,2,6]=>0011010=>2
[4,5,2,8,7,1,3,6]=>0101100=>3
[3,2,5,8,7,1,6,4]=>1001101=>4
[3,4,8,7,6,2,1,5]=>0011110=>2
[3,1,4,8,7,6,2,5]=>1001110=>4
[3,4,8,7,6,5,1,2]=>0011110=>2
[1,3,4,8,7,6,2,5]=>0001110=>2
[3,4,8,7,6,2,5,1]=>0011101=>1
[3,2,5,8,7,4,6,1]=>1001101=>4
[4,5,8,3,1,7,6,2]=>0011011=>1
[2,1,3,5,8,7,4,6]=>1000110=>5
[1,2,7,5,8,6,4,3]=>0010111=>1
[7,1,4,8,2,6,5,3]=>1001011=>4
[6,8,1,3,7,5,2,4]=>0100110=>3
[3,7,8,1,2,6,5,4]=>0010011=>1
[1,3,7,8,2,6,5,4]=>0001011=>1
[2,3,7,8,1,6,5,4]=>0001011=>1
[2,7,8,1,3,6,5,4]=>0010011=>1
[8,1,2,6,7,3,5,4]=>1000101=>5
[8,1,2,6,7,5,3,4]=>1000110=>5
[8,2,5,7,1,3,6,4]=>1001001=>5
[2,8,1,6,7,3,5,4]=>0100101=>2
[2,6,8,3,7,1,5,4]=>0010101=>1
[2,8,6,4,7,1,5,3]=>0110101=>3
[6,8,3,4,1,7,5,2]=>0101011=>1
[6,8,3,7,4,1,5,2]=>0101101=>2
[2,6,8,3,7,5,1,4]=>0010110=>2
[2,8,1,6,7,5,3,4]=>0100110=>3
[8,2,5,7,1,6,3,4]=>1001010=>5
[8,4,7,2,3,6,1,5]=>1010010=>6
[8,5,7,4,2,6,1,3]=>1011010=>6
[8,3,5,7,4,1,6,2]=>1001101=>4
[8,5,2,4,7,1,6,3]=>1100101=>6
[8,2,3,5,7,1,6,4]=>1000101=>5
[8,2,4,7,3,6,1,5]=>1001010=>5
[8,2,7,1,4,6,3,5]=>1010010=>6
[8,7,1,2,4,6,3,5]=>1100010=>7
[8,7,1,4,6,2,3,5]=>1100100=>7
[8,4,7,1,3,6,2,5]=>1010010=>6
[1,6,8,3,7,2,5,4]=>0010101=>1
[8,3,5,7,1,2,6,4]=>1001001=>5
[5,8,7,1,3,6,2,4]=>0110010=>4
[8,5,4,7,1,6,2,3]=>1101010=>7
[8,5,4,7,1,2,6,3]=>1101001=>6
[8,5,1,4,7,2,6,3]=>1100101=>6
[1,4,6,8,2,7,5,3]=>0001011=>1
[1,6,5,8,2,7,4,3]=>0101011=>1
[8,5,6,3,1,7,4,2]=>1011011=>3
[5,6,2,8,1,7,4,3]=>0101011=>1
[1,8,4,5,7,2,6,3]=>0100101=>2
[5,8,7,3,6,1,2,4]=>0110100=>4
[8,3,5,7,1,6,2,4]=>1001010=>5
[1,6,8,3,7,5,2,4]=>0010110=>2
[6,3,8,2,7,5,1,4]=>1010110=>5
[6,8,4,2,7,1,5,3]=>0110101=>3
[8,6,4,7,3,1,5,2]=>1101101=>5
[8,4,5,7,3,1,6,2]=>1001101=>4
[8,4,2,5,7,1,6,3]=>1100101=>6
[8,3,4,7,2,6,1,5]=>1001010=>5
[8,7,1,3,4,6,2,5]=>1100010=>7
[8,3,7,2,4,6,1,5]=>1010010=>6
[2,8,4,5,7,1,6,3]=>0100101=>2
[8,7,3,4,5,1,6,2]=>1100101=>6
[8,7,4,5,2,6,1,3]=>1101010=>7
[5,8,7,2,3,6,1,4]=>0110010=>4
[8,7,2,3,4,6,1,5]=>1100010=>7
[8,7,2,3,6,1,4,5]=>1100100=>7
[1,3,2,8,5,4,7,6]=>0101101=>2
[4,2,8,5,3,7,1,6]=>1011010=>6
[5,2,1,8,4,3,7,6]=>1101101=>5
[6,2,8,4,3,7,5,1]=>1011011=>3
[7,2,8,4,3,1,6,5]=>1011101=>4
[7,3,4,8,2,1,6,5]=>1001101=>4
[6,3,4,8,2,7,5,1]=>1001011=>4
[5,3,4,1,8,2,7,6]=>1010101=>4
[8,1,4,5,2,3,7,6]=>1001001=>5
[8,1,5,4,3,2,7,6]=>1011101=>4
[3,5,4,2,8,1,7,6]=>0110101=>3
[4,5,3,2,8,7,1,6]=>0110110=>3
[6,4,3,2,8,7,5,1]=>1110111=>4
[6,5,3,2,1,7,8,4]=>1111001=>6
[5,6,3,2,7,8,4,1]=>0110011=>2
[4,1,6,3,2,7,8,5]=>1011001=>5
[3,6,4,2,7,8,1,5]=>0110010=>4
[8,1,6,4,3,7,2,5]=>1011010=>6
[8,1,7,4,3,6,5,2]=>1011011=>3
[2,7,4,1,3,6,5,8]=>0110010=>4
[3,7,4,2,6,1,5,8]=>0110100=>4
[4,1,7,3,2,6,5,8]=>1011010=>6
[5,7,3,2,6,4,8,1]=>0110101=>3
[6,7,3,2,5,4,1,8]=>0110110=>3
[7,6,3,2,1,5,4,8]=>1111010=>7
[4,7,5,6,2,3,8,1]=>0101001=>3
[3,1,7,5,6,2,4,8]=>1010100=>7
[2,7,5,6,1,3,4,8]=>0101000=>5
[2,6,5,7,1,3,8,4]=>0101001=>3
[4,6,5,7,2,8,1,3]=>0101010=>4
[5,6,4,7,2,8,3,1]=>0101011=>1
[6,5,4,1,7,2,8,3]=>1110101=>6
[7,5,4,6,2,1,8,3]=>1101101=>5
[6,4,5,7,1,8,2,3]=>1001010=>5
[5,4,6,1,7,8,2,3]=>1010010=>6
[8,1,5,6,7,2,3,4]=>1000100=>6
[2,1,4,6,8,7,3,5]=>1000110=>5
[3,4,6,8,7,1,2,5]=>0001100=>3
[4,3,1,6,8,7,2,5]=>1100110=>6
[5,3,6,8,7,2,4,1]=>1001101=>4
[6,3,5,1,8,7,2,4]=>1010110=>5
[7,3,5,8,6,2,1,4]=>1001110=>4
[7,2,8,5,6,3,1,4]=>1010110=>5
[6,2,8,5,1,7,3,4]=>1011010=>6
[4,2,1,8,6,7,3,5]=>1101010=>7
[1,3,2,8,6,7,4,5]=>0101010=>4
[2,3,8,6,7,1,4,5]=>0010100=>3
[8,1,3,2,6,7,4,5]=>1010010=>6
[2,3,8,7,1,6,5,4]=>0011011=>1
[4,2,8,7,6,1,5,3]=>1011101=>4
[5,2,8,7,6,4,1,3]=>1011110=>4
[7,2,1,8,6,5,4,3]=>1101111=>3
[7,3,6,1,8,5,4,2]=>1010111=>3
[6,3,7,8,5,4,2,1]=>1001111=>3
[5,3,7,8,6,4,1,2]=>1001110=>4
[4,3,1,7,8,6,5,2]=>1100111=>4
[3,4,7,8,6,1,5,2]=>0001101=>1
[8,1,5,7,6,2,4,3]=>1001101=>4
[3,5,7,6,8,1,4,2]=>0010101=>1
[4,5,7,6,8,3,1,2]=>0010110=>2
[5,4,1,7,6,8,3,2]=>1101011=>5
[6,4,7,5,8,3,2,1]=>1010111=>3
[7,4,6,5,1,8,3,2]=>1011011=>3
[7,5,6,4,3,1,8,2]=>1011101=>4
[6,5,1,7,4,3,8,2]=>1101101=>5
[4,6,7,5,3,8,1,2]=>0011010=>2
[3,6,7,5,1,4,8,2]=>0011001=>2
[8,1,6,7,5,4,2,3]=>1001110=>4
[8,1,7,6,5,4,3,2]=>1011111=>2
[2,7,6,1,5,4,3,8]=>0110110=>3
[3,7,6,5,1,4,2,8]=>0111010=>3
[4,7,6,5,3,1,2,8]=>0111100=>3
[8,6,4,3,1,5,7,2]=>1111001=>6
[8,6,4,1,5,2,7,3]=>1110101=>6
[8,6,5,1,3,2,7,4]=>1110101=>6
[8,6,3,1,7,2,4,5]=>1110100=>7
[8,7,3,1,5,2,4,6]=>1110100=>7
[5,3,1,7,2,4,6,8]=>1101000=>7
[8,7,1,2,4,5,3,6]=>1100010=>7
[8,6,1,2,4,7,3,5]=>1100010=>7
[8,5,1,2,6,7,3,4]=>1100010=>7
[8,5,1,6,4,2,7,3]=>1101101=>5
[8,5,1,3,6,4,7,2]=>1100101=>6
[8,6,1,5,3,4,7,2]=>1101001=>6
[8,6,1,5,2,4,7,3]=>1101001=>6
[8,6,1,2,5,7,3,4]=>1100010=>7
[8,6,1,2,7,4,3,5]=>1100110=>6
[8,7,1,2,5,4,3,6]=>1100110=>6
[5,1,4,2,3,8,6,7]=>1010010=>6
[5,1,4,2,7,3,6,8]=>1010100=>7
[7,1,5,8,2,6,3,4]=>1001010=>5
[5,7,8,1,2,4,6,3]=>0010001=>2
[5,7,8,1,3,4,6,2]=>0010001=>2
[5,8,1,7,3,4,6,2]=>0101001=>3
[8,1,5,7,2,4,6,3]=>1001001=>5
[8,4,1,2,7,6,3,5]=>1100110=>6
[1,4,2,3,8,7,5,6]=>0100110=>3
[1,4,2,7,6,3,5,8]=>0101100=>3
[6,1,2,8,7,5,3,4]=>1001110=>4
[6,1,2,4,8,7,5,3]=>1000111=>4
[3,1,8,4,6,7,5,2]=>1010011=>5
[3,1,7,6,4,8,5,2]=>1011011=>3
[7,1,2,4,6,8,5,3]=>1000011=>5
[7,1,2,6,8,5,3,4]=>1000110=>5
[6,1,2,7,8,5,3,4]=>1000110=>5
[6,1,2,7,4,8,5,3]=>1001011=>4
[3,1,6,4,7,8,5,2]=>1010011=>5
[5,7,1,3,8,4,6,2]=>0100101=>2
[5,7,1,8,4,2,6,3]=>0101101=>2
[7,1,5,3,2,8,6,4]=>1011011=>3
[7,1,4,5,2,8,6,3]=>1001011=>4
[4,7,3,1,5,8,6,2]=>0110011=>2
[4,8,7,3,1,5,6,2]=>0111001=>3
[8,1,7,4,5,2,6,3]=>1010101=>4
[8,1,7,5,3,2,6,4]=>1011101=>4
[8,3,7,1,2,6,4,5]=>1010010=>6
[3,1,2,8,4,7,5,6]=>1001010=>5
[3,1,2,8,6,4,5,7]=>1001100=>6
[3,1,7,2,6,4,5,8]=>1010100=>7
[1,4,2,3,8,6,5,7]=>0100110=>3
[1,4,2,3,8,5,7,6]=>0100101=>2
[5,8,1,7,2,4,6,3]=>0101001=>3
[5,8,1,3,4,7,6,2]=>0100011=>3
[3,1,8,6,4,7,5,2]=>1011011=>3
[8,1,2,6,7,4,5,3]=>1000101=>5
[6,1,2,8,7,3,5,4]=>1001101=>4
[1,2,3,5,8,4,7,6]=>0000101=>1
[1,2,3,5,8,6,4,7]=>0000110=>2
[7,1,2,8,3,6,5,4]=>1001011=>4
[7,1,2,8,6,4,5,3]=>1001101=>4
[3,1,7,8,4,6,5,2]=>1001011=>4
[3,1,8,7,6,4,5,2]=>1011101=>4
[8,1,2,7,4,6,5,3]=>1001011=>4
[8,1,2,7,3,6,5,4]=>1001011=>4
[1,2,3,5,8,7,4,6]=>0000110=>2
[1,2,3,6,8,5,4,7]=>0000110=>2
[7,8,5,6,3,1,4,2]=>0101101=>2
[7,8,5,3,6,1,2,4]=>0110100=>4
[7,5,6,3,1,4,2,8]=>1011010=>6
[7,5,8,3,1,4,2,6]=>1011010=>6
[7,8,5,3,1,4,2,6]=>0111010=>3
[7,8,5,3,1,6,2,4]=>0111010=>3
[7,8,5,3,1,6,4,2]=>0111011=>2
[7,8,5,3,6,1,4,2]=>0110101=>3
[7,8,5,3,6,4,1,2]=>0110110=>3
[7,8,5,3,4,1,6,2]=>0110101=>3
[7,8,5,3,1,4,6,2]=>0111001=>3
[7,8,5,3,1,2,6,4]=>0111001=>3
[7,5,3,8,1,2,6,4]=>1101001=>6
[7,5,8,3,4,1,6,2]=>1010101=>4
[7,5,8,3,4,6,1,2]=>1010010=>6
[7,5,6,3,4,1,8,2]=>1010101=>4
[7,5,6,3,1,4,8,2]=>1011001=>5
[7,5,6,3,1,2,8,4]=>1011001=>5
[7,5,3,6,1,2,8,4]=>1101001=>6
[7,5,3,4,1,2,8,6]=>1101001=>6
[7,5,3,1,4,2,6,8]=>1110100=>7
[7,5,3,1,4,2,8,6]=>1110101=>6
[7,5,3,1,6,2,8,4]=>1110101=>6
[7,5,3,1,6,4,8,2]=>1110101=>6
[7,5,3,6,1,4,8,2]=>1101001=>6
[7,5,3,6,4,1,8,2]=>1101101=>5
[7,5,3,6,4,8,1,2]=>1101010=>7
[7,5,3,8,4,6,1,2]=>1101010=>7
[7,5,3,8,1,4,6,2]=>1101001=>6
[7,5,3,1,8,4,6,2]=>1110101=>6
[7,5,3,1,8,2,6,4]=>1110101=>6
[7,5,3,1,8,2,4,6]=>1110100=>7
[7,5,3,1,6,2,4,8]=>1110100=>7
[7,5,3,1,6,4,2,8]=>1110110=>7
[7,5,3,1,8,4,2,6]=>1110110=>7
[7,5,3,1,8,6,2,4]=>1110110=>7
[7,5,3,8,1,6,4,2]=>1101011=>5
[7,5,3,8,6,1,4,2]=>1101101=>5
[7,5,3,8,6,4,1,2]=>1101110=>6
[7,5,8,3,6,4,1,2]=>1010110=>5
[7,5,8,3,6,1,4,2]=>1010101=>4
[7,5,8,3,1,6,4,2]=>1011011=>3
[7,5,8,3,1,6,2,4]=>1011010=>6
[7,5,3,6,1,4,2,8]=>1101010=>7
[7,5,3,6,4,1,2,8]=>1101100=>7
[7,5,3,8,4,1,2,6]=>1101100=>7
[7,5,8,6,3,1,2,4]=>1011100=>5
[7,5,8,6,3,1,4,2]=>1011101=>4
[7,5,8,6,3,4,1,2]=>1011010=>6
[7,5,6,8,3,1,4,2]=>1001101=>4
[7,5,6,3,8,1,2,4]=>1010100=>7
[7,5,3,4,1,6,2,8]=>1101010=>7
[7,5,3,4,1,8,2,6]=>1101010=>7
[7,5,6,3,1,8,2,4]=>1011010=>6
[7,5,6,3,1,8,4,2]=>1011011=>3
[7,5,6,3,8,1,4,2]=>1010101=>4
[7,5,6,3,8,4,1,2]=>1010110=>5
[7,5,3,6,8,4,1,2]=>1100110=>6
[7,5,3,6,8,1,4,2]=>1100101=>6
[7,5,3,6,1,8,4,2]=>1101011=>5
[7,5,3,1,6,8,4,2]=>1110011=>5
[7,5,3,1,6,8,2,4]=>1110010=>7
[7,5,3,1,4,8,2,6]=>1110010=>7
[7,5,3,1,4,6,2,8]=>1110010=>7
[7,5,3,1,2,6,4,8]=>1110010=>7
[7,5,3,1,2,8,4,6]=>1110010=>7
[7,5,3,1,2,8,6,4]=>1110011=>5
[7,5,3,1,4,8,6,2]=>1110011=>5
[7,5,3,4,1,8,6,2]=>1101011=>5
[7,5,3,4,8,1,6,2]=>1100101=>6
[7,5,3,4,8,6,1,2]=>1100110=>6
[7,5,3,4,6,1,8,2]=>1100101=>6
[7,5,3,4,1,6,8,2]=>1101001=>6
[7,5,3,1,4,6,8,2]=>1110001=>6
[7,5,3,1,2,6,8,4]=>1110001=>6
[7,5,3,1,2,4,8,6]=>1110001=>6
[3,6,2,5,4,1,8,7]=>0101101=>2
[3,5,2,8,4,7,6,1]=>0101011=>1
[5,4,7,3,2,8,6,1]=>1011011=>3
[5,4,8,3,2,7,6,1]=>1011011=>3
[6,4,5,3,2,1,8,7]=>1011101=>4
[5,3,2,6,4,1,8,7]=>1101101=>5
[4,5,8,3,2,7,6,1]=>0011011=>1
[4,7,6,3,8,5,2,1]=>0110111=>1
[4,8,6,3,7,5,2,1]=>0110111=>1
[4,8,5,3,2,7,6,1]=>0111011=>2
[5,8,4,3,2,7,6,1]=>0111011=>2
[5,3,2,8,4,7,6,1]=>1101011=>5
[2,1,5,8,4,7,6,3]=>1001011=>4
[5,3,2,7,4,8,6,1]=>1101011=>5
[5,7,4,3,2,8,6,1]=>0111011=>2
[4,7,5,3,2,8,6,1]=>0111011=>2
[4,7,8,3,6,5,2,1]=>0010111=>1
[4,6,8,3,7,5,2,1]=>0010111=>1
[7,6,4,3,8,5,2,1]=>1110111=>4
[7,3,2,6,8,5,4,1]=>1100111=>4
[2,1,8,6,7,5,4,3]=>1010111=>3
[8,3,2,6,7,5,4,1]=>1100111=>4
[8,6,4,3,7,5,2,1]=>1110111=>4
[8,5,7,6,4,3,2,1]=>1011111=>2
[8,4,5,3,2,7,6,1]=>1011011=>3
[8,4,7,3,6,5,2,1]=>1010111=>3
[8,4,6,3,7,5,2,1]=>1010111=>3
[7,4,6,3,8,5,2,1]=>1010111=>3
[3,7,2,6,8,5,4,1]=>0100111=>2
[3,8,2,6,7,5,4,1]=>0100111=>2
[3,8,2,5,4,7,6,1]=>0101011=>1
[3,7,2,8,6,5,4,1]=>0101111=>1
[3,6,2,8,7,5,4,1]=>0101111=>1
[6,4,7,3,8,5,2,1]=>1010111=>3
[6,4,8,3,7,5,2,1]=>1010111=>3
[7,4,8,3,6,5,2,1]=>1010111=>3
[7,4,5,3,2,8,6,1]=>1011011=>3
[7,5,4,3,2,8,6,1]=>1111011=>5
[7,3,2,5,4,8,6,1]=>1101011=>5
[2,1,7,5,4,8,6,3]=>1011011=>3
[7,3,2,8,6,5,4,1]=>1101111=>3
[7,8,4,3,6,5,2,1]=>0110111=>1
[6,8,5,7,4,3,2,1]=>0101111=>1
[6,8,4,3,7,5,2,1]=>0110111=>1
[6,3,2,8,7,5,4,1]=>1101111=>3
[6,3,2,7,8,5,4,1]=>1100111=>4
[6,7,4,3,8,5,2,1]=>0110111=>1
[2,3,1,4,5,6,7,8,9]=>01000000=>7
[2,3,4,1,5,6,7,8,9]=>00100000=>6
[2,3,4,5,1,6,7,8,9]=>00010000=>5
[2,3,4,5,6,1,7,8,9]=>00001000=>4
[2,3,1,4,5,6,7,8,9,10]=>010000000=>8
[2,4,3,1,5,6,7,8,9]=>01100000=>6
[2,3,4,1,5,6,7,8,9,10]=>001000000=>7
[2,3,5,4,1,6,7,8,9]=>00110000=>5
[2,3,4,5,1,6,7,8,9,10]=>000100000=>6
[2,3,4,6,5,1,7,8,9]=>00011000=>4
[2,3,4,5,6,1,7,8,9,10]=>000010000=>5
[2,3,4,5,7,6,1,8,9]=>00001100=>3
[2,3,4,5,6,7,1,8,9,10]=>000001000=>4
[2,3,4,5,6,8,7,1,9]=>00000110=>2
[2,3,4,5,6,7,8,1,9,10]=>000000100=>3
[2,3,4,5,6,7,9,8,1]=>00000011=>1
[4,6,8,3,5,7,1,2]=>0010010=>3
[6,8,1,2,4,5,7,3]=>0100001=>4
[3,5,8,2,4,7,1,6]=>0010010=>3
[8,3,5,2,4,1,6,7]=>1010100=>7
[4,2,5,7,3,6,1,8]=>1001010=>5
[4,5,2,8,3,1,6,7]=>0101100=>3
[4,2,5,8,3,7,1,6]=>1001010=>5
[2,1,6,8,4,7,3,5]=>1001010=>5
[1,2,5,8,3,6,7,4]=>0001001=>1
[5,3,6,8,4,7,1,2]=>1001010=>5
[1,6,5,8,2,4,7,3]=>0101001=>3
[3,1,2,6,8,5,7,4]=>1000101=>5
[1,4,3,8,2,6,7,5]=>0101001=>3
[5,4,8,3,2,1,6,7]=>1011100=>5
[5,4,3,7,2,6,1,8]=>1101010=>7
[4,3,6,2,7,5,1,8]=>1010110=>5
[4,6,3,2,1,8,5,7]=>0111010=>3
[4,1,7,3,2,5,8,6]=>1011001=>5
[4,3,1,7,8,2,6,5]=>1100101=>6
[3,5,1,2,7,8,6,4]=>0100011=>3
[7,5,1,4,8,2,6,3]=>1100101=>6
[5,4,7,3,8,6,1,2]=>1010110=>5
[5,8,4,7,6,3,1,2]=>0101110=>2
[5,8,7,1,4,2,6,3]=>0110101=>3
[8,3,5,1,2,7,6,4]=>1010011=>5
[4,8,3,1,7,2,6,5]=>0110101=>3
[1,8,4,3,5,2,7,6]=>0110101=>3
[4,6,3,1,5,2,8,7]=>0110101=>3
[4,7,3,6,5,2,1,8]=>0101110=>2
[5,3,7,6,4,2,1,8]=>1011110=>4
[1,6,3,4,2,8,7,5]=>0101011=>1
[1,8,3,6,2,7,5,4]=>0101011=>1
[1,6,8,7,4,2,5,3]=>0011101=>1
[6,4,8,7,5,3,1,2]=>1011110=>4
[7,6,4,3,8,5,1,2]=>1110110=>7
[1,7,6,2,8,4,5,3]=>0110101=>3
[7,1,3,2,6,8,5,4]=>1010011=>5
[1,5,3,2,7,4,8,6]=>0110101=>3
[6,3,2,1,8,5,4,7]=>1110110=>7
[6,5,3,2,7,4,1,8]=>1110110=>7
[5,2,6,3,7,4,1,8]=>1010110=>5
[2,8,5,3,1,6,4,7]=>0111010=>3
[2,1,7,3,8,5,4,6]=>1010110=>5
[1,6,2,3,7,8,5,4]=>0100011=>3
[1,6,7,2,8,4,5,3]=>0010101=>1
[5,7,1,8,2,4,6,3]=>0101001=>3
[5,1,2,7,8,3,6,4]=>1000101=>5
[2,4,1,7,8,6,3,5]=>0100110=>3
[4,2,1,7,3,8,5,6]=>1101010=>7
[6,2,8,4,3,1,5,7]=>1011100=>5
[7,3,2,1,8,4,5,6]=>1110100=>7
[7,8,3,2,5,6,1,4]=>0110010=>4
[7,1,8,2,4,5,6,3]=>1010001=>6
[8,7,6,1,2,4,5,3]=>1110001=>6
[8,3,7,6,2,1,4,5]=>1011100=>5
[3,2,8,7,5,1,4,6]=>1011100=>5
[8,3,6,5,2,1,4,7]=>1011100=>5
[7,6,3,5,2,4,1,8]=>1101010=>7
[7,4,6,2,5,3,1,8]=>1010110=>5
[8,2,4,1,6,5,3,7]=>1010110=>5
[4,2,8,1,7,5,3,6]=>1010110=>5
[8,2,4,1,7,6,3,5]=>1010110=>5
[8,7,1,5,6,2,4,3]=>1100101=>6
[8,5,7,3,6,4,1,2]=>1010110=>5
[6,8,3,7,5,4,1,2]=>0101110=>2
[8,1,6,7,5,2,4,3]=>1001101=>4
[8,1,2,6,4,3,7,5]=>1001101=>4
[2,8,1,7,5,4,3,6]=>0101110=>2
[2,5,1,8,6,4,3,7]=>0101110=>2
[5,7,2,6,4,3,1,8]=>0101110=>2
[6,2,7,5,4,3,1,8]=>1011110=>4
[2,1,8,6,5,4,3,7]=>1011110=>4
[1,2,7,5,4,3,8,6]=>0011101=>1
[1,7,2,4,3,8,6,5]=>0101011=>1
[1,7,2,8,3,6,5,4]=>0101011=>1
[1,7,8,6,5,2,4,3]=>0011101=>1
[7,3,8,6,5,4,1,2]=>1011110=>4
[1,8,7,6,5,2,4,3]=>0111101=>2
[8,1,7,3,2,6,5,4]=>1011011=>3
[5,1,4,3,2,8,7,6]=>1011011=>3
[8,6,5,3,2,1,7,4]=>1111101=>6
[8,6,3,2,1,7,4,5]=>1111010=>7
[8,6,5,4,1,7,2,3]=>1111010=>7
[8,6,5,1,7,3,2,4]=>1110110=>7
[8,6,1,7,4,3,2,5]=>1101110=>6
[4,6,3,2,7,5,1,8]=>0110110=>3
[1,4,3,7,2,5,8,6]=>0101001=>3
[7,4,8,3,1,6,2,5]=>1011010=>6
[7,1,5,8,3,2,6,4]=>1001101=>4
[5,7,4,1,8,2,6,3]=>0110101=>3
[5,7,4,3,1,8,6,2]=>0111011=>2
[1,8,7,2,5,4,6,3]=>0110101=>3
[1,8,5,3,7,2,6,4]=>0110101=>3
[4,3,1,8,7,5,2,6]=>1101110=>6
[1,4,8,6,3,5,2,7]=>0011010=>2
[7,4,6,3,5,2,1,8]=>1010110=>5
[1,3,5,6,8,4,2,7]=>0000110=>2
[3,5,4,8,7,1,2,6]=>0101100=>3
[3,1,4,6,8,7,2,5]=>1000110=>5
[1,6,3,8,7,2,5,4]=>0101101=>2
[1,6,2,4,8,7,5,3]=>0100111=>2
[8,4,1,6,7,5,3,2]=>1100111=>4
[7,1,6,4,8,5,2,3]=>1010110=>5
[7,3,6,8,5,1,2,4]=>1001100=>6
[1,3,7,2,6,8,4,5]=>0010010=>3
[3,6,5,2,8,1,4,7]=>0110100=>4
[3,6,5,7,2,4,1,8]=>0101010=>4
[4,2,6,3,8,1,5,7]=>1010100=>7
[4,2,6,7,3,5,1,8]=>1001010=>5
[3,6,2,4,7,5,1,8]=>0100110=>3
[3,6,2,4,1,8,5,7]=>0101010=>4
[7,3,8,2,1,6,4,5]=>1011010=>6
[7,3,5,2,1,8,6,4]=>1011011=>3
[8,7,6,4,3,1,5,2]=>1111101=>6
[8,7,6,4,1,5,2,3]=>1111010=>7
[3,8,7,2,1,4,6,5]=>0111001=>3
[3,8,2,7,1,5,4,6]=>0101010=>4
[3,6,8,2,1,5,4,7]=>0011010=>2
[2,4,8,1,6,5,3,7]=>0010110=>2
[4,2,8,1,5,7,3,6]=>1010010=>6
[8,5,7,6,1,4,2,3]=>1011010=>6
[8,6,1,7,3,5,4,2]=>1101011=>5
[8,6,1,7,5,4,2,3]=>1101110=>6
[1,6,2,8,7,3,5,4]=>0101101=>2
[1,8,2,4,6,7,3,5]=>0100010=>4
[2,8,5,4,7,1,3,6]=>0110100=>4
[2,1,5,8,6,4,3,7]=>1001110=>4
[7,2,5,6,4,3,1,8]=>1001110=>4
[1,2,5,7,8,4,3,6]=>0000110=>2
[1,2,7,4,8,6,3,5]=>0010110=>2
[1,2,7,8,3,6,5,4]=>0001011=>1
[7,1,8,6,3,5,4,2]=>1011011=>3
[1,8,7,6,3,5,2,4]=>0111010=>3
[1,8,7,4,6,3,2,5]=>0110110=>3
[7,1,5,8,3,4,6,2]=>1001001=>5
[7,1,6,4,2,3,5,8]=>1011000=>6
[8,6,2,4,7,3,5,1]=>1100101=>6
[8,6,2,4,5,7,3,1]=>1100011=>5
[2,7,1,4,5,8,3,6]=>0100010=>4
[7,1,6,4,5,2,3,8]=>1010100=>7
[7,1,4,5,6,8,2,3]=>1000010=>6
[7,1,4,6,5,8,3,2]=>1001011=>4
[7,1,2,3,8,5,4,6]=>1000110=>5
[7,1,5,4,3,8,2,6]=>1011010=>6
[7,1,3,4,2,6,8,5]=>1001001=>5
[7,1,5,4,6,2,8,3]=>1010101=>4
[7,1,5,6,4,3,8,2]=>1001101=>4
[7,1,6,5,4,3,2,8]=>1011110=>4
[8,6,2,5,4,3,7,1]=>1101101=>5
[2,5,1,7,4,3,6,8]=>0101100=>3
[2,5,1,4,7,8,6,3]=>0100011=>3
[3,5,1,4,8,6,2,7]=>0100110=>3
[3,6,2,4,7,8,1,5]=>0100010=>4
[5,6,2,4,8,7,1,3]=>0100110=>3
[6,3,8,2,4,7,1,5]=>1010010=>6
[6,5,8,7,2,3,1,4]=>1011010=>6
[6,5,7,8,2,4,1,3]=>1001010=>5
[6,3,4,2,8,5,1,7]=>1010110=>5
[3,4,7,2,5,8,1,6]=>0010010=>3
[4,6,8,1,3,5,2,7]=>0010010=>3
[4,3,8,1,2,7,5,6]=>1010010=>6
[3,6,4,1,7,2,5,8]=>0110100=>4
[2,8,3,1,5,6,4,7]=>0110010=>4
[3,8,7,1,5,4,2,6]=>0110110=>3
[4,3,1,7,6,8,2,5]=>1101010=>7
[3,4,1,7,5,6,8,2]=>0101001=>3
[3,4,1,5,7,6,2,8]=>0100110=>3
[3,7,4,1,6,2,8,5]=>0110101=>3
[8,4,7,2,5,3,6,1]=>1010101=>4
[4,7,8,1,2,3,6,5]=>0010001=>2
[2,8,6,1,5,3,7,4]=>0110101=>3
[7,6,5,1,3,8,2,4]=>1110010=>7
[7,6,5,1,3,4,8,2]=>1110001=>6
[7,2,6,4,1,3,8,5]=>1011001=>5
[6,7,5,2,1,3,8,4]=>0111001=>3
[8,4,5,3,7,2,6,1]=>1010101=>4
[4,7,5,2,8,1,6,3]=>0110101=>3
[2,6,4,3,1,5,7,8]=>0111000=>4
[7,3,8,4,1,5,2,6]=>1011010=>6
[7,2,3,4,1,6,5,8]=>1001010=>5
[4,2,8,3,6,1,5,7]=>1010100=>7
[6,8,5,7,2,1,3,4]=>0101100=>3
[4,8,5,2,7,1,3,6]=>0110100=>4
[6,3,5,2,1,7,4,8]=>1011010=>6
[6,8,5,3,1,4,2,7]=>0111010=>3
[3,6,5,4,2,8,1,7]=>0111010=>3
[1,6,4,7,2,5,3,8]=>0101010=>4
[1,6,4,8,2,5,3,7]=>0101010=>4
[1,6,5,8,2,4,3,7]=>0101010=>4
[1,6,8,2,4,3,7,5]=>0010101=>1
[1,6,2,4,3,7,8,5]=>0101001=>3
[1,5,6,2,4,7,3,8]=>0010010=>3
[1,5,6,2,4,7,8,3]=>0010001=>2
[1,5,8,2,4,7,3,6]=>0010010=>3
[1,5,7,2,4,8,3,6]=>0010010=>3
[1,6,5,7,2,4,3,8]=>0101010=>4
[1,6,7,2,4,3,8,5]=>0010101=>1
[1,5,6,7,2,4,8,3]=>0001001=>1
[1,5,8,2,4,6,7,3]=>0010001=>2
[1,5,7,2,4,6,8,3]=>0010001=>2
[1,5,7,8,3,2,4,6]=>0001100=>3
[1,5,8,3,2,4,6,7]=>0011000=>4
[1,5,6,2,4,8,3,7]=>0010010=>3
[1,7,6,2,8,3,4,5]=>0110100=>4
[1,7,3,4,2,8,6,5]=>0101011=>1
[1,6,2,4,3,8,7,5]=>0101011=>1
[1,5,6,2,4,8,7,3]=>0010011=>1
[1,5,8,7,3,2,4,6]=>0011100=>3
[1,4,2,3,5,8,7,6]=>0100011=>3
[1,5,2,3,4,8,7,6]=>0100011=>3
[1,6,5,2,3,8,7,4]=>0110011=>2
[1,7,4,2,8,6,5,3]=>0110111=>1
[1,7,6,5,2,8,4,3]=>0111011=>2
[1,6,7,5,2,3,8,4]=>0011001=>2
[1,7,5,2,8,4,3,6]=>0110110=>3
[1,7,5,6,2,8,3,4]=>0101010=>4
[1,5,7,6,2,4,8,3]=>0011001=>2
[1,5,8,3,2,4,7,6]=>0011001=>2
[1,6,5,2,3,7,4,8]=>0110010=>4
[1,6,5,2,3,7,8,4]=>0110001=>4
[1,6,8,4,2,3,7,5]=>0011001=>2
[1,7,4,6,2,8,3,5]=>0101010=>4
[1,7,3,5,2,8,4,6]=>0101010=>4
[1,6,8,5,2,3,7,4]=>0011001=>2
[1,6,4,2,3,7,8,5]=>0110001=>4
[1,6,4,2,3,7,5,8]=>0110010=>4
[1,5,8,6,2,4,7,3]=>0011001=>2
[1,5,7,3,2,4,8,6]=>0011001=>2
[1,7,3,4,2,8,5,6]=>0101010=>4
[1,7,4,2,8,5,3,6]=>0110110=>3
[1,6,7,4,2,3,8,5]=>0011001=>2
[1,6,4,2,3,8,5,7]=>0110010=>4
[1,7,6,4,2,8,5,3]=>0111011=>2
[1,7,5,2,8,6,4,3]=>0110111=>1
[1,6,4,2,3,8,7,5]=>0110011=>2
[7,3,5,6,1,4,8,2]=>1001001=>5
[3,7,5,6,1,4,8,2]=>0101001=>3
[8,2,4,1,6,7,5,3]=>1010011=>5
[8,6,1,4,2,7,5,3]=>1101011=>5
[3,6,1,4,2,8,5,7]=>0101010=>4
[1,6,7,4,3,5,8,2]=>0011001=>2
[6,7,1,4,3,5,8,2]=>0101001=>3
[7,6,1,4,3,5,8,2]=>1101001=>6
[3,5,4,1,6,7,8,2]=>0110001=>4
[4,7,1,6,3,5,8,2]=>0101001=>3
[3,1,4,7,6,5,8,2]=>1001101=>4
[6,1,7,4,3,5,8,2]=>1011001=>5
[7,1,6,4,3,5,8,2]=>1011001=>5
[1,7,6,4,3,5,8,2]=>0111001=>3
[8,1,6,4,2,7,5,3]=>1011011=>3
[8,4,1,3,7,2,5,6]=>1100100=>7
[4,7,1,3,8,2,5,6]=>0100100=>5
[7,4,1,3,8,2,5,6]=>1100100=>7
[1,3,6,4,2,8,5,7]=>0011010=>2
[4,7,3,1,2,8,5,6]=>0110010=>4
[4,7,8,1,2,6,5,3]=>0010011=>1
[6,8,1,4,2,7,5,3]=>0101011=>1
[1,8,6,4,2,7,5,3]=>0111011=>2
[4,8,1,3,7,2,5,6]=>0100100=>5
[8,7,1,3,6,2,5,4]=>1100101=>6
[6,8,5,7,3,2,1,4]=>0101110=>2
[1,8,4,3,7,2,5,6]=>0110100=>4
[2,8,3,4,7,6,1,5]=>0100110=>3
[3,7,8,4,6,2,1,5]=>0010110=>2
[3,7,4,6,8,2,1,5]=>0100110=>3
[2,4,3,7,8,6,1,5]=>0100110=>3
[1,4,7,3,8,2,5,6]=>0010100=>3
[5,7,6,8,3,2,1,4]=>0101110=>2
[2,5,3,4,8,6,1,7]=>0100110=>3
[3,7,5,4,8,2,1,6]=>0110110=>3
[7,1,3,4,2,8,5,6]=>1001010=>5
[6,1,4,3,8,2,5,7]=>1010100=>7
[4,1,7,3,8,2,5,6]=>1010100=>7
[8,1,4,3,7,2,5,6]=>1010100=>7
[8,2,3,4,7,6,1,5]=>1000110=>5
[4,2,3,7,8,6,1,5]=>1000110=>5
[5,2,3,4,8,6,1,7]=>1000110=>5
[2,7,5,6,3,8,1,4]=>0101010=>4
[5,7,2,6,3,8,1,4]=>0101010=>4
[5,7,2,6,8,4,1,3]=>0100110=>3
[7,2,5,6,8,4,1,3]=>1000110=>5
[4,2,3,8,5,6,1,7]=>1001010=>5
[5,2,3,8,7,6,1,4]=>1001110=>4
[8,2,3,7,5,6,1,4]=>1001010=>5
[6,1,8,3,7,2,5,4]=>1010101=>4
[1,7,8,4,2,6,5,3]=>0011011=>1
[4,7,1,8,2,5,6,3]=>0101001=>3
[3,7,4,8,5,2,1,6]=>0101110=>2
[2,4,3,8,5,6,1,7]=>0101010=>4
[1,4,8,3,6,2,5,7]=>0010100=>3
[7,5,8,6,3,2,1,4]=>1011110=>4
[6,5,8,7,3,2,1,4]=>1011110=>4
[8,5,7,6,3,2,1,4]=>1011110=>4
[2,5,3,8,7,6,1,4]=>0101110=>2
[3,7,5,8,6,2,1,4]=>0101110=>2
[3,7,8,6,5,2,1,4]=>0011110=>2
[1,8,7,3,6,2,5,4]=>0110101=>3
[6,8,7,5,3,2,1,4]=>0111110=>2
[5,7,6,8,3,4,1,2]=>0101010=>4
[3,7,6,8,4,5,1,2]=>0101010=>4
[1,5,4,7,6,8,2,3]=>0101010=>4
[1,7,4,6,5,8,2,3]=>0101010=>4
[3,7,4,6,5,8,1,2]=>0101010=>4
[3,5,4,8,6,7,1,2]=>0101010=>4
[3,8,4,6,5,7,1,2]=>0101010=>4
[3,6,4,7,5,8,1,2]=>0101010=>4
[1,6,2,7,5,8,3,4]=>0101010=>4
[1,6,4,8,5,7,2,3]=>0101010=>4
[1,8,4,6,5,7,2,3]=>0101010=>4
[1,5,4,8,6,7,2,3]=>0101010=>4
[7,8,1,5,4,6,2,3]=>0101010=>4
[7,8,1,5,2,4,3,6]=>0101010=>4
[1,8,2,6,5,7,3,4]=>0101010=>4
[1,7,2,8,5,6,3,4]=>0101010=>4
[1,7,2,6,5,8,3,4]=>0101010=>4
[1,5,2,7,6,8,3,4]=>0101010=>4
[1,7,6,8,2,5,3,4]=>0101010=>4
[1,7,6,8,4,5,2,3]=>0101010=>4
[5,7,6,8,1,4,2,3]=>0101010=>4
[7,8,5,6,1,3,2,4]=>0101010=>4
[5,8,6,7,1,3,2,4]=>0101010=>4
[1,3,2,7,6,8,4,5]=>0101010=>4
[1,7,6,8,2,4,3,5]=>0101010=>4
[7,8,1,3,2,6,4,5]=>0101010=>4
[7,8,1,6,2,4,3,5]=>0101010=>4
[1,8,6,7,2,4,3,5]=>0101010=>4
[7,8,1,4,2,6,3,5]=>0101010=>4
[7,8,1,4,2,5,3,6]=>0101010=>4
[7,8,2,1,4,3,6,5]=>0110101=>3
[7,8,1,2,4,3,5,6]=>0100100=>5
[4,3,6,5,8,7,1,2]=>1010110=>5
[3,4,6,5,7,8,1,2]=>0010010=>3
[3,4,1,5,6,7,8,9,2]=>01000001=>5
[3,4,5,1,6,7,8,9,2]=>00100001=>3
[3,4,5,6,1,7,8,9,2]=>00010001=>2
[3,4,5,6,7,1,8,9,2]=>00001001=>1
[3,4,5,6,7,8,1,9,2]=>00000101=>1
[3,1,2,5,6,7,8,9,4]=>10000001=>7
[3,4,1,5,6,7,8,9,10,2]=>010000001=>6
[3,4,1,2,6,7,8,9,5]=>01000001=>5
[3,4,5,1,6,7,8,9,10,2]=>001000001=>4
[3,4,5,1,2,7,8,9,6]=>00100001=>3
[3,4,5,6,1,7,8,9,10,2]=>000100001=>2
[3,4,5,6,1,2,8,9,7]=>00010001=>2
[3,4,5,6,7,1,8,9,10,2]=>000010001=>1
[3,4,5,6,7,1,2,9,8]=>00001001=>1
[3,4,5,6,7,8,1,9,10,2]=>000001001=>1
[3,4,5,6,7,8,1,2,9]=>00000100=>3
[3,4,5,6,7,8,9,1,10,2]=>000000101=>1
[1,6,2,3,8,7,4,5]=>0100110=>3
[1,7,4,3,2,8,6,5]=>0111011=>2
[1,4,7,6,2,5,8,3]=>0011001=>2
[1,2,6,5,3,7,4,8]=>0011010=>2
[1,2,6,5,3,7,8,4]=>0011001=>2
[1,3,7,5,2,6,8,4]=>0011001=>2
[1,3,7,4,2,6,8,5]=>0011001=>2
[1,2,6,4,3,7,8,5]=>0011001=>2
[1,2,6,4,3,7,5,8]=>0011010=>2
[1,4,7,3,2,5,8,6]=>0011001=>2
[1,4,3,2,5,8,6,7]=>0110010=>4
[1,5,3,2,4,8,6,7]=>0110010=>4
[1,7,5,3,2,8,6,4]=>0111011=>2
[1,5,3,2,4,8,7,6]=>0110011=>2
[7,6,5,4,3,1,8,2]=>1111101=>6
[6,8,5,4,3,2,1,7]=>0111110=>2
[8,7,6,5,4,3,1,9,2]=>11111101=>7
[7,9,6,5,4,3,2,1,8]=>01111110=>2
[9,8,7,6,5,4,3,1,10,2]=>111111101=>8
[1,7,6,5,4,3,9,8,2]=>01111011=>2
[7,1,5,4,3,8,6,2]=>1011011=>3
[3,6,5,4,8,1,7,2]=>0110101=>3
[6,8,1,4,3,2,7,5]=>0101101=>2
[2,8,5,4,3,7,1,6]=>0111010=>3
[1,9,6,5,4,3,2,8,7]=>01111101=>2
[8,10,7,6,5,4,3,2,1,9]=>011111110=>2
[10,9,8,7,6,5,4,3,1,11,2]=>1111111101=>9
[1,8,7,6,5,4,3,10,9,2]=>011111011=>2
[8,1,6,5,4,3,9,7,2]=>10111011=>4
[3,7,6,5,4,9,1,8,2]=>01110101=>3
[7,6,1,4,3,8,5,2]=>1101011=>5
[4,6,5,8,3,1,7,2]=>0101101=>2
[6,8,5,1,3,2,7,4]=>0110101=>3
[1,8,2,4,3,7,6,5]=>0101011=>1
[7,9,1,5,4,3,2,8,6]=>01011101=>2
[3,8,5,4,7,2,1,6]=>0110110=>3
[2,9,6,5,4,3,8,1,7]=>01111010=>3
[1,10,7,6,5,4,3,2,9,8]=>011111101=>2
[9,1,7,6,5,4,3,10,8,2]=>101111011=>4
[3,8,7,6,5,4,10,1,9,2]=>011110101=>3
[8,7,1,5,4,3,9,6,2]=>11011011=>5
[1,3,6,5,4,9,8,7,2]=>00110111=>1
[4,7,6,5,9,3,1,8,2]=>01101101=>3
[7,6,5,1,3,8,4,2]=>1110011=>5
[1,6,3,4,8,7,5,2]=>0100111=>2
[1,4,5,8,3,7,6,2]=>0001011=>1
[6,8,5,4,1,2,7,3]=>0111001=>3
[1,8,5,2,3,7,6,4]=>0110011=>2
[7,9,6,1,4,3,2,8,5]=>01101101=>3
[6,8,2,4,3,7,1,5]=>0101010=>4
[1,8,3,4,7,2,6,5]=>0100101=>2
[1,9,2,5,4,3,8,7,6]=>01011011=>1
[8,10,1,6,5,4,3,2,9,7]=>010111101=>2
[7,5,8,4,3,2,1,6]=>1011110=>4
[4,8,5,7,3,2,1,6]=>0101110=>2
[3,9,6,5,4,8,2,1,7]=>01110110=>3
[2,10,7,6,5,4,3,9,1,8]=>011111010=>3
[5,1,7,6,8,4,3,2]=>1010111=>3
[6,4,8,5,2,7,1,3]=>1011010=>6
[5,1,8,6,7,4,3,2]=>1010111=>3
[8,4,7,5,2,6,1,3]=>1011010=>6
[5,4,6,8,2,1,7,3]=>1001101=>4
[6,4,5,8,1,2,7,3]=>1001001=>5
[7,4,6,5,2,1,8,3]=>1011101=>4
[8,4,6,5,2,1,7,3]=>1011101=>4
[4,8,7,5,6,1,3,2]=>0110101=>3
[2,7,5,1,8,4,3,6]=>0110110=>3
[5,1,8,7,4,2,3,6]=>1011100=>5
[2,8,6,7,4,3,5,1]=>0101101=>2
[3,6,5,2,4,1,8,7]=>0110101=>3
[5,2,3,6,4,1,8,7]=>1001101=>4
[6,1,4,5,3,2,8,7]=>1001101=>4
[3,8,7,1,4,6,5,2]=>0110011=>2
[5,7,1,2,4,3,8,6]=>0100101=>2
[4,3,7,6,8,2,5,1]=>1010101=>4
[5,3,6,8,1,7,2,4]=>1001010=>5
[3,2,6,8,5,7,1,4]=>1001010=>5
[6,3,7,2,4,8,5,1]=>1010011=>5
[7,4,8,6,5,2,1,3]=>1011110=>4
[7,1,8,2,5,4,3,6]=>1010110=>5
[2,5,3,7,4,1,8,6]=>0101101=>2
[3,6,4,7,5,1,8,2]=>0101101=>2
[8,4,7,6,2,3,1,5]=>1011010=>6
[8,4,7,1,2,5,6,3]=>1010001=>6
[4,2,8,7,3,5,6,1]=>1011001=>5
[8,1,7,4,2,5,6,3]=>1011001=>5
[7,4,3,8,2,5,6,1]=>1101001=>6
[6,4,1,5,8,2,7,3]=>1100101=>6
[2,5,8,7,3,6,1,4]=>0011010=>2
[2,1,5,8,7,4,6,3]=>1001101=>4
[8,3,5,6,7,4,1,2]=>1000110=>5
[7,4,3,2,8,5,6,1]=>1110101=>6
[4,2,7,1,8,5,6,3]=>1010101=>4
[4,1,7,2,8,5,6,3]=>1010101=>4
[2,4,8,7,3,5,6,1]=>0011001=>2
[4,7,8,3,1,5,6,2]=>0011001=>2
[3,4,7,2,8,5,6,1]=>0010101=>1
[3,7,1,4,8,5,6,2]=>0100101=>2
[7,2,3,4,8,5,6,1]=>1000101=>5
[6,1,8,5,2,7,4,3]=>1011011=>3
[2,1,7,4,5,8,6,3]=>1010011=>5
[2,1,8,3,6,7,5,4]=>1010011=>5
[8,2,1,6,4,7,5,3]=>1101011=>5
[7,8,2,6,4,1,5,3]=>0101101=>2
[2,6,3,5,8,7,1,4]=>0100110=>3
[7,6,2,1,5,8,4,3]=>1110011=>5
[4,5,2,7,6,1,8,3]=>0101101=>2
[5,1,6,8,4,7,2,3]=>1001010=>5
[3,6,8,7,5,2,1,4]=>0011110=>2
[7,4,8,6,5,2,3,1]=>1011101=>4
[8,1,6,4,7,3,2,5]=>1010110=>5
[7,6,4,1,2,3,8,5]=>1110001=>6
[2,6,4,8,5,3,7,1]=>0101101=>2
[7,3,5,8,4,2,1,6]=>1001110=>4
[3,2,5,8,4,1,7,6]=>1001101=>4
[8,4,7,1,5,2,3,6]=>1010100=>7
[4,8,7,5,6,1,2,3]=>0110100=>4
[6,1,4,8,7,3,5,2]=>1001101=>4
[7,2,8,4,3,5,6,1]=>1011001=>5
[4,7,8,1,3,5,6,2]=>0010001=>2
[8,7,3,4,1,5,6,2]=>1101001=>6
[4,8,2,7,3,5,6,1]=>0101001=>3
[3,1,8,7,2,5,6,4]=>1011001=>5
[3,8,1,7,2,5,6,4]=>0101001=>3
[8,2,3,7,1,5,6,4]=>1001001=>5
[6,4,8,7,1,3,2,5]=>1011010=>6
[2,8,4,6,7,3,1,5]=>0100110=>3
[4,3,8,2,7,6,1,5]=>1010110=>5
[6,8,4,2,1,3,7,5]=>0111001=>3
[7,8,2,4,3,5,6,1]=>0101001=>3
[2,8,3,7,1,5,6,4]=>0101001=>3
[8,1,2,7,3,5,6,4]=>1001001=>5
[6,4,1,3,2,8,5,7]=>1101010=>7
[5,3,8,6,2,1,4,7]=>1011100=>5
[4,6,5,2,8,3,1,7]=>0110110=>3
[4,3,7,5,1,8,2,6]=>1011010=>6
[6,8,5,2,7,4,3,1]=>0110111=>1
[7,2,5,4,3,8,1,6]=>1011010=>6
[3,6,8,1,4,5,2,7]=>0010010=>3
[6,8,1,2,4,5,3,7]=>0100010=>4
[8,1,6,2,4,5,3,7]=>1010010=>6
[3,8,6,1,2,5,4,7]=>0110010=>4
[5,8,1,6,2,3,4,7]=>0101000=>5
[4,1,6,5,8,2,3,7]=>1010100=>7
[4,3,8,6,2,5,1,7]=>1011010=>6
[8,3,6,1,4,5,2,7]=>1010010=>6
[2,3,6,8,4,5,1,7]=>0001010=>2
[2,7,5,4,3,8,1,6]=>0111010=>3
[6,3,8,7,4,2,5,1]=>1011101=>4
[5,8,4,3,7,6,1,2]=>0110110=>3
[8,7,4,3,1,6,2,5]=>1111010=>7
[1,7,4,3,8,6,2,5]=>0110110=>3
[7,1,5,3,4,8,2,6]=>1010010=>6
[2,8,6,1,7,4,5,3]=>0110101=>3
[4,8,6,5,7,2,1,3]=>0110110=>3
[4,7,6,8,2,1,5,3]=>0101101=>2
[6,1,8,7,4,3,5,2]=>1011101=>4
[8,5,4,3,1,6,7,2]=>1111001=>6
[1,5,8,6,3,4,7,2]=>0011001=>2
[2,5,8,6,3,4,7,1]=>0011001=>2
[4,1,3,8,5,6,7,2]=>1001001=>5
[6,5,8,4,3,1,7,2]=>1011101=>4
[4,6,5,2,8,1,7,3]=>0110101=>3
[7,2,8,1,3,6,4,5]=>1010010=>6
[1,8,5,2,3,6,7,4]=>0110001=>4
[1,8,3,2,5,6,7,4]=>0110001=>4
[2,8,3,1,5,6,7,4]=>0110001=>4
[4,8,3,2,5,6,7,1]=>0110001=>4
[8,2,3,1,5,6,7,4]=>1010001=>6
[2,1,8,3,5,6,7,4]=>1010001=>6
[1,4,8,2,3,6,7,5]=>0010001=>2
[3,1,2,7,8,6,4,5]=>1000110=>5
[7,5,1,8,2,4,3,6]=>1101010=>7
[3,5,8,1,2,4,7,6]=>0010001=>2
[4,5,8,1,2,3,7,6]=>0010001=>2
[4,2,7,1,8,6,3,5]=>1010110=>5
[3,8,4,1,2,6,7,5]=>0110001=>4
[5,4,8,2,3,6,7,1]=>1010001=>6
[5,8,3,6,7,4,1,2]=>0100110=>3
[2,3,1,6,8,4,7,5]=>0100101=>2
[2,4,3,7,1,8,5,6]=>0101010=>4
[1,4,7,3,2,8,5,6]=>0011010=>2
[2,7,1,4,3,8,5,6]=>0101010=>4
[2,4,1,8,6,3,7,5]=>0101101=>2
[8,4,1,3,6,2,7,5]=>1100101=>6
[6,8,5,1,7,2,3,4]=>0110100=>4
[7,3,6,5,8,2,1,4]=>1010110=>5
[7,6,3,5,8,2,1,4]=>1100110=>6
[4,5,8,7,3,6,1,2]=>0011010=>2
[3,5,2,8,6,1,7,4]=>0101101=>2
[8,2,5,6,1,4,7,3]=>1001001=>5
[8,6,5,4,1,2,7,3]=>1111001=>6
[2,6,1,8,3,7,5,4]=>0101011=>1
[4,7,1,6,2,8,5,3]=>0101011=>1
[6,1,5,3,8,7,2,4]=>1010110=>5
[2,8,6,3,7,1,5,4]=>0110101=>3
[7,6,1,5,8,2,3,4]=>1100100=>7
[3,6,8,5,1,2,7,4]=>0011001=>2
[6,5,2,4,8,1,7,3]=>1100101=>6
[5,1,4,8,2,6,7,3]=>1001001=>5
[4,8,2,5,1,6,7,3]=>0101001=>3
[3,4,8,5,2,6,7,1]=>0011001=>2
[4,2,1,8,5,6,7,3]=>1101001=>6
[1,5,4,8,2,6,7,3]=>0101001=>3
[7,2,1,5,8,6,3,4]=>1100110=>6
[2,8,4,5,1,6,7,3]=>0101001=>3
[5,4,8,3,7,6,1,2]=>1010110=>5
[3,1,5,8,6,2,7,4]=>1001101=>4
[6,3,4,8,5,1,7,2]=>1001101=>4
[5,3,4,8,1,6,7,2]=>1001001=>5
[7,6,1,2,8,3,5,4]=>1100101=>6
[7,5,8,4,1,2,6,3]=>1011001=>5
[7,5,8,4,6,1,3,2]=>1010101=>4
[6,5,4,8,7,1,3,2]=>1101101=>5
[6,5,4,8,1,2,7,3]=>1101001=>6
[7,5,1,6,2,3,8,4]=>1101001=>6
[7,5,1,6,8,2,4,3]=>1100101=>6
[6,5,4,1,8,2,7,3]=>1110101=>6
[6,5,4,7,1,2,8,3]=>1101001=>6
[6,5,4,7,8,1,3,2]=>1100101=>6
[6,5,3,7,1,4,2,8]=>1101010=>7
[6,5,3,1,8,4,2,7]=>1110110=>7
[7,5,1,4,8,3,2,6]=>1100110=>6
[8,1,6,4,7,3,5,2]=>1010101=>4
[7,5,1,4,8,3,6,2]=>1100101=>6
[6,5,3,7,1,4,8,2]=>1101001=>6
[6,4,3,1,5,8,7,2]=>1110011=>5
[7,4,1,5,3,8,6,2]=>1101011=>5
[8,1,5,4,3,7,6,2]=>1011011=>3
[8,1,5,4,3,7,2,6]=>1011010=>6
[7,4,1,5,3,8,2,6]=>1101010=>7
[7,4,1,5,3,2,6,8]=>1101100=>7
[8,1,5,4,3,2,6,7]=>1011100=>5
[8,1,6,4,2,5,3,7]=>1011010=>6
[6,5,3,1,2,7,4,8]=>1110010=>7
[6,5,3,8,1,4,2,7]=>1101010=>7
[7,6,8,1,4,3,2,5]=>1010110=>5
[8,1,7,2,5,4,3,6]=>1010110=>5
[8,1,7,2,5,4,6,3]=>1010101=>4
[7,6,1,2,5,4,8,3]=>1100101=>6
[6,5,3,8,1,4,7,2]=>1101001=>6
[6,5,3,1,2,7,8,4]=>1110001=>6
[7,5,1,4,2,6,8,3]=>1101001=>6
[8,1,6,4,2,5,7,3]=>1011001=>5
[7,4,1,5,3,2,8,6]=>1101101=>5
[6,4,3,1,5,2,8,7]=>1110101=>6
[6,4,3,1,5,7,2,8]=>1110010=>7
[7,4,1,5,3,6,2,8]=>1101010=>7
[8,1,5,4,3,6,2,7]=>1011010=>6
[8,1,5,4,3,6,7,2]=>1011001=>5
[7,4,1,5,3,6,8,2]=>1101001=>6
[6,4,3,1,5,7,8,2]=>1110001=>6
[6,7,3,8,4,5,1,2]=>0101010=>4
[6,7,4,5,1,8,2,3]=>0101010=>4
[4,7,5,6,2,3,1,8]=>0101010=>4
[4,7,5,6,1,8,2,3]=>0101010=>4
[4,7,5,6,3,8,1,2]=>0101010=>4
[3,7,5,8,4,6,1,2]=>0101010=>4
[4,5,3,8,6,7,1,2]=>0101010=>4
[4,8,3,6,5,7,1,2]=>0101010=>4
[5,6,4,7,1,8,2,3]=>0101010=>4
[5,6,1,7,3,8,2,4]=>0101010=>4
[5,6,1,8,2,7,3,4]=>0101010=>4
[5,6,1,8,4,7,2,3]=>0101010=>4
[4,8,1,6,5,7,2,3]=>0101010=>4
[4,5,1,8,6,7,2,3]=>0101010=>4
[7,8,4,5,1,6,2,3]=>0101010=>4
[4,8,2,3,1,6,5,7]=>0101010=>4
[5,6,2,8,1,4,3,7]=>0101010=>4
[5,6,3,4,1,8,2,7]=>0101010=>4
[3,6,4,5,2,7,1,8]=>0101010=>4
[3,6,4,5,1,8,2,7]=>0101010=>4
[2,6,4,8,1,5,3,7]=>0101010=>4
[2,8,3,6,1,5,4,7]=>0101010=>4
[2,8,3,4,1,6,5,7]=>0101010=>4
[7,8,2,5,3,4,1,6]=>0101010=>4
[7,8,1,5,3,6,2,4]=>0101010=>4
[1,5,3,8,6,7,2,4]=>0101010=>4
[1,8,3,6,2,7,4,5]=>0101010=>4
[1,6,4,8,2,7,3,5]=>0101010=>4
[2,6,4,7,3,5,1,8]=>0101010=>4
[2,7,3,6,4,5,1,8]=>0101010=>4
[1,7,3,6,4,8,2,5]=>0101010=>4
[1,7,2,8,4,6,3,5]=>0101010=>4
[1,7,5,8,4,6,2,3]=>0101010=>4
[1,7,5,8,2,6,3,4]=>0101010=>4
[1,7,5,6,3,8,2,4]=>0101010=>4
[2,7,5,6,3,4,1,8]=>0101010=>4
[6,7,2,5,3,4,1,8]=>0101010=>4
[6,7,1,5,3,8,2,4]=>0101010=>4
[6,7,5,8,1,4,2,3]=>0101010=>4
[5,8,6,7,2,3,1,4]=>0101010=>4
[6,7,2,3,1,8,4,5]=>0101010=>4
[6,7,2,8,1,4,3,5]=>0101010=>4
[3,4,2,7,5,6,1,8]=>0101010=>4
[3,4,1,7,5,8,2,6]=>0101010=>4
[2,7,5,8,1,4,3,6]=>0101010=>4
[2,3,1,7,5,8,4,6]=>0101010=>4
[2,3,1,8,4,7,5,6]=>0101010=>4
[7,8,2,3,1,6,4,5]=>0101010=>4
[7,8,2,6,1,4,3,5]=>0101010=>4
[2,8,6,7,1,4,3,5]=>0101010=>4
[2,8,1,4,3,7,5,6]=>0101010=>4
[3,7,2,5,4,6,1,8]=>0101010=>4
[4,5,2,7,3,6,1,8]=>0101010=>4
[4,5,1,8,2,7,3,6]=>0101010=>4
[3,4,1,8,2,7,5,6]=>0101010=>4
[3,4,1,8,6,7,2,5]=>0101010=>4
[3,4,2,5,1,8,6,7]=>0101010=>4
[3,4,2,8,1,6,5,7]=>0101010=>4
[3,8,2,5,1,6,4,7]=>0101010=>4
[4,5,2,8,1,6,3,7]=>0101010=>4
[4,5,3,6,1,8,2,7]=>0101010=>4
[8,6,7,1,4,2,5,3]=>1010101=>4
[8,6,3,7,5,1,2,4]=>1101100=>7
[7,6,1,8,3,5,2,4]=>1101010=>7
[7,6,2,8,3,5,1,4]=>1101010=>7
[7,6,2,3,8,5,1,4]=>1100110=>6
[8,7,1,5,2,6,3,4]=>1101010=>7
[8,7,1,5,2,3,6,4]=>1101001=>6
[8,5,2,3,1,7,6,4]=>1101011=>5
[8,6,2,3,7,1,5,4]=>1100101=>6
[8,6,2,7,3,1,5,4]=>1101101=>5
[8,7,2,5,1,6,3,4]=>1101010=>7
[8,4,2,1,7,6,3,5]=>1110110=>7
[8,5,7,2,1,4,3,6]=>1011010=>6
[5,8,7,3,1,4,2,6]=>0111010=>3
[5,8,7,3,1,4,6,2]=>0111001=>3
[8,5,7,2,1,4,6,3]=>1011001=>5
[8,4,2,1,3,7,6,5]=>1110011=>5
[8,4,3,1,7,2,6,5]=>1110101=>6
[8,6,1,3,7,2,5,4]=>1100101=>6
[8,5,1,3,2,7,6,4]=>1101011=>5
[6,1,5,8,4,2,7,3]=>1001101=>4
[5,2,8,6,4,1,3,7]=>1011100=>5
[8,4,7,5,1,6,2,3]=>1011010=>6
[8,4,7,5,1,2,3,6]=>1011000=>6
[8,7,3,5,1,2,6,4]=>1101001=>6
[8,3,2,6,5,1,4,7]=>1101100=>7
[4,8,6,3,5,1,2,7]=>0110100=>4
[4,8,7,3,1,5,2,6]=>0111010=>3
[8,4,7,2,1,5,3,6]=>1011010=>6
[8,7,3,1,4,2,6,5]=>1110101=>6
[8,7,3,1,2,6,4,5]=>1110010=>7
[8,7,3,1,2,4,6,5]=>1110001=>6
[8,3,2,1,4,7,6,5]=>1110011=>5
[8,3,2,1,7,4,6,5]=>1110101=>6
[8,3,2,7,1,5,6,4]=>1101001=>6
[8,4,7,2,1,5,6,3]=>1011001=>5
[8,7,2,1,6,3,4,5]=>1110100=>7
[3,6,5,4,1,2,8,7]=>0111001=>3
[3,8,5,6,7,4,1,2]=>0100110=>3
[4,7,5,8,6,2,1,3]=>0101110=>2
[2,5,7,8,6,3,4,1]=>0001101=>1
[4,8,5,7,6,3,1,2]=>0101110=>2
[4,6,3,2,1,5,8,7]=>0111001=>3
[6,2,1,5,3,4,8,7]=>1101001=>6
[5,8,1,3,7,6,4,2]=>0100111=>2
[4,7,2,3,6,1,8,5]=>0100101=>2
[3,7,4,2,8,1,5,6]=>0110100=>4
[4,2,6,8,5,7,3,1]=>1001011=>4
[6,4,2,7,3,8,5,1]=>1101011=>5
[8,1,6,7,5,3,4,2]=>1001101=>4
[2,1,5,8,7,6,3,4]=>1001110=>4
[2,1,4,7,6,3,8,5]=>1001101=>4
[6,4,7,8,5,3,2,1]=>1001111=>3
[4,1,3,7,6,2,8,5]=>1001101=>4
[8,5,1,6,3,2,7,4]=>1101101=>5
[6,3,7,1,5,2,8,4]=>1010101=>4
[3,2,6,8,4,7,5,1]=>1001011=>4
[8,4,6,1,3,2,5,7]=>1010100=>7
[4,2,8,6,7,3,1,5]=>1010110=>5
[7,4,3,8,2,1,5,6]=>1101100=>7
[4,7,5,8,1,6,3,2]=>0101011=>1
[6,4,3,2,7,8,1,5]=>1110010=>7
[4,2,5,1,6,7,8,3]=>1010001=>6
[2,4,8,5,7,1,3,6]=>0010100=>3
[3,7,1,4,6,8,5,2]=>0100011=>3
[7,8,2,5,6,1,4,3]=>0100101=>2
[2,4,3,8,7,5,6,1]=>0101101=>2
[2,6,7,3,5,1,8,4]=>0010101=>1
[7,6,8,4,2,5,3,1]=>1011011=>3
[8,5,7,1,6,3,2,4]=>1010110=>5
[6,5,7,2,8,4,3,1]=>1010111=>3
[3,4,8,6,5,2,1,7]=>0011110=>2
[2,7,6,1,4,5,8,3]=>0110001=>4
[6,5,8,2,1,7,3,4]=>1011010=>6
[7,4,3,5,1,6,8,2]=>1101001=>6
[4,1,6,3,5,8,7,2]=>1010011=>5
[6,2,5,8,4,3,7,1]=>1001101=>4
[8,6,7,1,5,4,3,2]=>1010111=>3
[2,1,6,5,8,4,7,3]=>1010101=>4
[2,1,6,8,5,4,3,7]=>1001110=>4
[4,1,8,5,6,2,3,7]=>1010100=>7
[2,6,4,8,7,3,5,1]=>0101101=>2
[6,2,8,4,3,5,1,7]=>1011010=>6
[4,8,2,7,6,1,3,5]=>0101100=>3
[3,1,8,2,7,5,4,6]=>1010110=>5
[3,8,1,2,6,7,4,5]=>0100010=>4
[5,8,4,3,2,7,1,6]=>0111010=>3
[7,4,8,6,3,2,5,1]=>1011101=>4
[5,8,4,7,2,1,3,6]=>0101100=>3
[2,1,8,4,3,7,5,6]=>1011010=>6
[6,3,8,2,4,5,7,1]=>1010001=>6
[5,8,4,2,3,6,1,7]=>0110010=>4
[5,8,2,4,3,1,6,7]=>0101100=>3
[2,8,3,1,6,4,5,7]=>0110100=>4
[8,2,1,3,4,7,5,6]=>1100010=>7
[1,4,8,2,6,3,5,7]=>0010100=>3
[1,2,7,3,5,4,8,6]=>0010101=>1
[1,2,3,8,4,5,7,6]=>0001001=>1
[1,2,8,3,4,5,7,6]=>0010001=>2
[1,3,8,2,6,4,5,7]=>0010100=>3
[1,5,7,2,3,6,4,8]=>0010010=>3
[1,7,2,3,5,4,8,6]=>0100101=>2
[1,3,8,2,4,5,7,6]=>0010001=>2
[1,2,3,8,4,6,7,5]=>0001001=>1
[1,8,2,3,5,4,6,7]=>0100100=>5
[1,7,8,2,3,6,4,5]=>0010010=>3
[1,6,7,8,2,3,5,4]=>0001001=>1
[1,7,8,2,5,3,6,4]=>0010101=>1
[1,7,8,2,4,5,3,6]=>0010010=>3
[1,2,8,3,6,4,5,7]=>0010100=>3
[1,8,2,3,6,4,5,7]=>0100100=>5
[1,2,8,3,5,4,6,7]=>0010100=>3
[1,2,7,8,3,6,4,5]=>0001010=>2
[1,5,2,7,8,3,6,4]=>0100101=>2
[1,3,2,8,4,6,7,5]=>0101001=>3
[1,8,2,3,4,6,7,5]=>0100001=>4
[1,7,8,2,4,3,6,5]=>0010101=>1
[7,6,3,1,5,2,4,8]=>1110100=>7
[6,7,3,1,5,2,8,4]=>0110101=>3
[6,8,3,1,5,2,7,4]=>0110101=>3
[6,8,4,5,1,2,7,3]=>0101001=>3
[6,7,4,5,1,2,8,3]=>0101001=>3
[7,2,1,6,5,3,4,8]=>1101100=>7
[7,3,6,1,5,2,4,8]=>1010100=>7
[7,4,6,5,1,2,3,8]=>1011000=>6
[6,7,5,4,1,2,8,3]=>0111001=>3
[5,8,6,4,1,7,2,3]=>0111010=>3
[5,7,6,4,1,8,2,3]=>0111010=>3
[5,6,7,4,1,8,2,3]=>0011010=>2
[6,5,7,4,1,2,8,3]=>1011001=>5
[6,4,7,5,1,2,8,3]=>1011001=>5
[6,2,1,7,5,3,8,4]=>1101101=>5
[6,3,8,1,5,2,7,4]=>1010101=>4
[6,4,8,5,1,2,7,3]=>1011001=>5
[6,5,8,4,1,2,7,3]=>1011001=>5
[5,6,8,4,1,7,2,3]=>0011010=>2
[4,6,8,5,7,1,2,3]=>0010100=>3
[4,5,8,6,7,1,2,3]=>0010100=>3
[5,4,8,6,1,7,2,3]=>1011010=>6
[5,3,8,1,6,7,2,4]=>1010010=>6
[5,2,1,8,6,7,3,4]=>1101010=>7
[5,2,1,7,6,8,3,4]=>1101010=>7
[5,4,7,6,1,8,2,3]=>1011010=>6
[4,5,7,6,8,1,2,3]=>0010100=>3
[4,6,7,5,8,1,2,3]=>0010100=>3
[4,8,6,5,7,1,2,3]=>0110100=>4
[4,8,5,6,7,1,2,3]=>0100100=>5
[4,7,5,6,8,1,2,3]=>0100100=>5
[4,6,5,7,8,1,2,3]=>0100100=>5
[5,7,4,6,1,8,2,3]=>0101010=>4
[5,8,4,6,1,7,2,3]=>0101010=>4
[5,8,3,1,6,7,2,4]=>0110010=>4
[5,7,3,1,6,8,2,4]=>0110010=>4
[5,6,3,1,7,8,2,4]=>0110010=>4
[6,2,1,4,3,8,7,5]=>1101011=>5
[5,8,3,1,7,6,2,4]=>0110110=>3
[5,7,4,8,1,6,2,3]=>0101010=>4
[5,2,1,6,8,7,3,4]=>1100110=>6
[5,4,6,8,1,7,2,3]=>1001010=>5
[4,5,6,8,7,1,2,3]=>0001100=>3
[4,7,5,8,6,1,2,3]=>0101100=>3
[4,8,5,7,6,1,2,3]=>0101100=>3
[4,8,6,7,5,1,2,3]=>0101100=>3
[4,7,6,8,5,1,2,3]=>0101100=>3
[4,6,7,8,5,1,2,3]=>0001100=>3
[4,5,7,8,6,1,2,3]=>0001100=>3
[5,4,7,8,1,6,2,3]=>1001010=>5
[5,3,7,1,8,6,2,4]=>1010110=>5
[5,2,1,7,8,6,3,4]=>1100110=>6
[5,3,8,1,7,6,2,4]=>1010110=>5
[5,4,8,7,1,6,2,3]=>1011010=>6
[4,6,8,7,5,1,2,3]=>0011100=>3
[4,7,8,6,5,1,2,3]=>0011100=>3
[4,8,7,6,5,1,2,3]=>0111100=>3
[2,5,4,7,3,6,1,8]=>0101010=>4
[2,4,6,3,7,5,1,8]=>0010110=>2
[4,2,7,3,6,5,1,8]=>1010110=>5
[4,2,6,3,1,5,8,7]=>1011001=>5
[2,5,3,1,6,4,8,7]=>0110101=>3
[2,5,3,7,6,4,1,8]=>0101110=>2
[2,6,5,3,7,4,1,8]=>0110110=>3
[4,2,7,6,3,5,1,8]=>1011010=>6
[2,7,5,3,6,4,1,8]=>0110110=>3
[2,6,3,7,5,4,1,8]=>0101110=>2
[1,7,5,2,3,8,4,6]=>0110010=>4
[2,1,3,7,5,4,8,6]=>1001101=>4
[2,3,1,8,6,5,4,7]=>0101110=>2
[2,5,3,1,8,6,4,7]=>0110110=>3
[4,2,8,3,1,6,5,7]=>1011010=>6
[8,3,2,6,4,1,5,7]=>1101100=>7
[3,6,8,2,1,4,5,7]=>0011000=>4
[1,5,2,8,3,4,7,6]=>0101001=>3
[1,2,6,3,8,7,4,5]=>0010110=>2
[1,2,8,3,6,4,7,5]=>0010101=>1
[1,2,7,6,3,4,8,5]=>0011001=>2
[2,1,3,8,7,5,4,6]=>1001110=>4
[1,2,3,8,6,4,7,5]=>0001101=>1
[1,2,3,7,4,8,6,5]=>0001011=>1
[1,2,7,6,3,8,4,5]=>0011010=>2
[1,2,3,6,4,8,7,5]=>0001011=>1
[1,2,3,7,6,4,8,5]=>0001101=>1
[2,6,3,1,8,5,4,7]=>0110110=>3
[2,1,3,8,5,4,7,6]=>1001101=>4
[7,1,8,4,2,3,5,6]=>1011000=>6
[2,1,8,4,3,5,7,6]=>1011001=>5
[4,2,6,3,1,8,5,7]=>1011010=>6
[5,4,2,8,3,1,6,7]=>1101100=>7
[3,5,8,2,4,1,6,7]=>0010100=>3
[2,5,4,8,3,1,6,7]=>0101100=>3
[4,2,1,8,3,5,7,6]=>1101001=>6
[1,8,7,4,2,3,5,6]=>0111000=>4
[1,5,2,8,7,3,4,6]=>0101100=>3
[1,2,7,3,6,4,8,5]=>0010101=>1
[1,2,8,6,3,7,4,5]=>0011010=>2
[1,2,7,3,8,6,4,5]=>0010110=>2
[1,2,3,8,4,7,6,5]=>0001011=>1
[1,2,7,3,4,8,6,5]=>0010011=>1
[1,2,6,3,8,4,7,5]=>0010101=>1
[1,5,2,3,8,7,4,6]=>0100110=>3
[4,2,1,8,3,7,5,6]=>1101010=>7
[8,3,2,1,7,4,5,6]=>1110100=>7
[1,8,4,2,7,3,5,6]=>0110100=>4
[1,2,8,6,3,4,7,5]=>0011001=>2
[1,2,7,3,8,4,6,5]=>0010101=>1
[1,2,3,8,7,4,6,5]=>0001101=>1
[1,2,3,8,7,6,4,5]=>0001110=>2
[2,5,3,8,1,6,4,7]=>0101010=>4
[2,6,4,7,1,5,3,8]=>0101010=>4
[2,6,5,7,1,4,3,8]=>0101010=>4
[3,8,5,7,1,2,6,4]=>0101001=>3
[3,8,5,7,2,6,4,1]=>0101011=>1
[3,4,8,6,2,5,7,1]=>0011001=>2
[3,4,8,6,1,2,5,7]=>0011000=>4
[2,5,7,1,4,8,6,3]=>0010011=>1
[2,4,8,1,5,7,6,3]=>0010011=>1
[2,4,3,8,1,6,5,7]=>0101010=>4
[2,8,1,7,5,6,4,3]=>0101011=>1
[2,3,8,1,6,5,7,4]=>0010101=>1
[2,4,8,1,3,5,7,6]=>0010001=>2
[3,5,7,6,1,2,4,8]=>0011000=>4
[3,5,7,6,2,4,8,1]=>0011001=>2
[4,8,6,7,2,3,5,1]=>0101001=>3
[4,8,6,7,1,2,3,5]=>0101000=>5
[4,8,6,7,1,3,5,2]=>0101001=>3
[3,4,8,6,1,5,7,2]=>0011001=>2
[3,8,5,7,1,6,4,2]=>0101011=>1
[3,2,8,5,6,1,7,4]=>1010101=>4
[3,8,5,7,2,1,6,4]=>0101101=>2
[3,4,8,6,2,1,5,7]=>0011100=>3
[3,5,7,6,2,1,4,8]=>0011100=>3
[4,8,6,7,2,1,3,5]=>0101100=>3
[4,8,6,7,3,5,2,1]=>0101011=>1
[5,8,6,7,3,4,2,1]=>0101011=>1
[5,8,6,7,2,1,3,4]=>0101100=>3
[5,8,6,7,2,1,4,3]=>0101101=>2
[4,8,6,7,2,1,5,3]=>0101101=>2
[4,3,1,7,5,2,8,6]=>1101101=>5
[4,3,2,8,5,1,7,6]=>1101101=>5
[4,3,8,5,1,6,7,2]=>1011001=>5
[4,8,6,7,1,5,3,2]=>0101011=>1
[5,8,6,7,1,4,3,2]=>0101011=>1
[5,8,6,7,2,3,4,1]=>0101001=>3
[5,8,6,7,2,4,3,1]=>0101011=>1
[5,8,6,7,1,2,4,3]=>0101001=>3
[4,2,3,8,5,1,6,7]=>1001100=>6
[4,2,8,5,1,7,6,3]=>1011011=>3
[3,4,2,8,5,6,1,7]=>0101010=>4
[3,2,4,8,6,1,5,7]=>1001100=>6
[3,2,5,7,6,1,4,8]=>1001100=>6
[4,8,6,7,1,3,2,5]=>0101010=>4
[4,8,6,7,1,2,5,3]=>0101001=>3
[4,8,6,7,2,5,3,1]=>0101011=>1
[4,3,8,5,2,6,7,1]=>1011001=>5
[4,3,8,5,1,2,6,7]=>1011000=>6
[4,2,6,7,5,1,3,8]=>1001100=>6
[3,8,5,7,1,4,2,6]=>0101010=>4
[3,8,4,7,1,5,2,6]=>0101010=>4
[3,5,2,8,4,6,1,7]=>0101010=>4
[3,5,1,7,4,6,2,8]=>0101010=>4
[3,8,4,7,2,5,1,6]=>0101010=>4
[4,1,3,8,5,2,6,7]=>1001100=>6
[4,1,2,6,7,5,3,8]=>1000110=>5
[4,2,6,7,5,3,8,1]=>1001101=>4
[4,8,6,7,3,2,5,1]=>0101101=>2
[4,8,6,7,3,1,2,5]=>0101100=>3
[3,1,5,7,6,2,4,8]=>1001100=>6
[3,4,1,7,5,6,2,8]=>0101010=>4
[4,1,7,5,2,8,6,3]=>1011011=>3
[4,1,6,7,5,2,3,8]=>1001100=>6
[4,8,6,7,2,3,1,5]=>0101010=>4
[5,8,6,7,3,2,4,1]=>0101101=>2
[5,8,6,7,4,2,3,1]=>0101101=>2
[5,8,6,7,4,1,2,3]=>0101100=>3
[5,8,6,7,4,1,3,2]=>0101101=>2
[5,8,6,7,3,1,4,2]=>0101101=>2
[4,8,6,7,3,1,5,2]=>0101101=>2
[4,1,6,7,5,3,8,2]=>1001101=>4
[4,1,7,5,3,2,8,6]=>1011101=>4
[4,2,8,5,3,1,7,6]=>1011101=>4
[4,2,1,6,7,5,3,8]=>1100110=>6
[4,8,6,7,3,2,1,5]=>0101110=>2
[5,8,6,7,4,2,1,3]=>0101110=>2
[5,8,6,7,4,3,1,2]=>0101110=>2
[7,3,5,8,1,4,2,6]=>1001010=>5
[3,8,7,6,1,4,2,5]=>0111010=>3
[5,1,8,3,6,7,2,4]=>1010010=>6
[1,4,7,8,5,6,2,3]=>0001010=>2
[3,4,7,1,5,8,6,2]=>0010011=>1
[3,6,1,4,7,8,5,2]=>0100011=>3
[1,6,8,4,7,5,2,3]=>0010110=>2
[6,8,1,3,5,7,2,4]=>0100010=>4
[7,6,1,4,3,8,2,5]=>1101010=>7
[3,8,1,6,5,4,2,7]=>0101110=>2
[4,1,3,7,5,8,2,6]=>1001010=>5
[6,1,7,3,8,4,2,5]=>1010110=>5
[7,1,8,6,3,5,2,4]=>1011010=>6
[3,1,7,6,5,8,4,2]=>1011011=>3
[8,2,7,6,5,3,4,1]=>1011101=>4
[8,4,2,6,7,5,3,1]=>1100111=>4
[4,8,1,6,7,5,3,2]=>0100111=>2
[7,4,1,6,8,2,5,3]=>1100101=>6
[1,3,8,6,2,7,5,4]=>0011011=>1
[6,1,3,2,7,8,4,5]=>1010010=>6
[1,8,6,2,5,3,4,7]=>0110100=>4
[4,7,2,6,8,1,5,3]=>0100101=>2
[8,7,3,6,4,5,2,1]=>1101011=>5
[5,7,8,6,2,1,4,3]=>0011101=>1
[2,7,4,1,6,8,3,5]=>0110010=>4
[3,7,2,4,5,1,6,8]=>0100100=>5
[1,8,6,4,5,2,3,7]=>0110100=>4
[2,8,4,6,5,1,3,7]=>0101100=>3
[3,4,1,7,5,2,6,8]=>0101100=>3
[7,5,8,6,1,2,4,3]=>1011001=>5
[5,6,8,7,3,1,4,2]=>0011101=>1
[2,5,4,3,6,8,1,7]=>0110010=>4
[3,8,5,4,6,2,1,7]=>0110110=>3
[4,8,2,1,3,7,5,6]=>0110010=>4
[6,4,1,2,7,5,8,3]=>1100101=>6
[4,1,8,3,6,7,5,2]=>1010011=>5
[8,3,7,4,5,2,6,1]=>1010101=>4
[4,3,7,8,5,1,6,2]=>1001101=>4
[5,4,8,2,7,6,1,3]=>1010110=>5
[1,2,7,3,6,5,8,4]=>0010101=>1
[2,8,7,6,3,4,1,5]=>0111010=>3
[5,8,2,6,3,4,1,7]=>0101010=>4
[4,1,7,5,8,6,2,3]=>1010110=>5
[5,1,7,8,4,3,6,2]=>1001101=>4
[8,2,7,5,4,3,6,1]=>1011101=>4
[6,3,8,1,4,7,5,2]=>1010011=>5
[3,8,4,5,6,1,2,7]=>0100100=>5
[1,4,3,5,7,8,2,6]=>0100010=>4
[6,5,8,7,1,3,4,2]=>1011001=>5
[3,6,7,2,4,8,1,5]=>0010010=>3
[1,5,2,7,4,3,8,6]=>0101101=>2
[2,8,5,6,4,3,1,7]=>0101110=>2
[1,8,6,5,4,3,2,7]=>0111110=>2
[6,1,5,2,8,4,7,3]=>1010101=>4
[4,6,1,8,5,7,2,3]=>0101010=>4
[4,7,1,2,8,5,6,3]=>0100101=>2
[1,4,7,2,8,5,6,3]=>0010101=>1
[1,7,3,5,8,6,2,4]=>0100110=>3
[7,3,5,8,6,1,2,4]=>1001100=>6
[3,6,8,1,5,7,2,4]=>0010010=>3
[3,4,6,5,8,1,7,2]=>0010101=>1
[6,8,1,5,7,2,3,4]=>0100100=>5
[7,1,2,5,8,6,3,4]=>1000110=>5
[1,7,2,5,8,6,3,4]=>0100110=>3
[1,7,6,8,2,3,5,4]=>0101001=>3
[7,6,8,1,2,3,5,4]=>1010001=>6
[2,7,1,5,8,6,3,4]=>0100110=>3
[2,4,7,1,8,5,6,3]=>0010101=>1
[4,7,5,8,3,1,6,2]=>0101101=>2
[4,7,2,1,8,5,6,3]=>0110101=>3
[7,6,8,2,1,3,5,4]=>1011001=>5
[1,2,7,6,8,3,5,4]=>0010101=>1
[3,7,6,8,2,1,5,4]=>0101101=>2
[7,4,2,1,6,8,5,3]=>1110011=>5
[6,7,4,1,8,5,3,2]=>0110111=>1
[6,7,4,3,1,8,5,2]=>0111011=>2
[2,7,4,1,6,8,5,3]=>0110011=>2
[2,3,7,6,8,1,5,4]=>0010101=>1
[7,4,2,6,8,5,1,3]=>1100110=>6
[7,3,2,5,8,6,1,4]=>1100110=>6
[3,1,7,6,8,2,5,4]=>1010101=>4
[3,7,6,8,1,2,5,4]=>0101001=>3
[1,3,7,6,8,2,5,4]=>0010101=>1
[1,7,4,2,6,8,5,3]=>0110011=>2
[7,4,1,2,6,8,5,3]=>1100011=>5
[7,1,4,2,8,5,6,3]=>1010101=>4
[7,1,8,2,5,4,6,3]=>1010101=>4
[7,3,8,4,6,1,5,2]=>1010101=>4
[7,2,8,1,6,4,5,3]=>1010101=>4
[7,1,6,8,5,4,2,3]=>1001110=>4
[7,1,2,6,8,5,4,3]=>1000111=>4
[1,7,2,6,8,5,4,3]=>0100111=>2
[1,7,6,8,3,2,5,4]=>0101101=>2
[7,6,8,3,1,2,5,4]=>1011001=>5
[7,1,5,8,6,3,2,4]=>1001110=>4
[7,2,5,8,6,3,1,4]=>1001110=>4
[3,6,7,1,8,5,4,2]=>0010111=>1
[7,2,6,8,5,4,1,3]=>1001110=>4
[7,6,8,2,3,1,5,4]=>1010101=>4
[2,7,6,8,3,1,5,4]=>0101101=>2
[2,7,1,6,8,5,4,3]=>0100111=>2
[6,7,3,1,8,5,4,2]=>0110111=>1
[6,7,1,8,5,4,3,2]=>0101111=>1
[7,2,1,6,8,5,4,3]=>1100111=>4
[7,6,8,3,2,1,5,4]=>1011101=>4
[4,7,8,5,6,1,3,2]=>0010101=>1
[4,6,5,8,7,1,3,2]=>0101101=>2
[5,6,4,8,1,2,7,3]=>0101001=>3
[8,1,5,6,7,2,4,3]=>1000101=>5
[6,4,5,1,8,2,7,3]=>1010101=>4
[5,4,6,7,1,2,8,3]=>1001001=>5
[4,3,6,7,2,1,5,8]=>1001100=>6
[5,3,6,7,1,4,2,8]=>1001010=>5
[8,1,4,6,7,3,2,5]=>1000110=>5
[8,1,3,6,7,4,5,2]=>1000101=>5
[7,2,1,6,8,4,5,3]=>1100101=>6
[5,2,6,7,1,4,8,3]=>1001001=>5
[4,2,6,7,3,1,8,5]=>1001101=>4
[6,2,4,1,5,8,7,3]=>1010011=>5
[7,2,1,5,4,8,6,3]=>1101011=>5
[8,1,4,5,3,7,2,6]=>1001010=>5
[7,3,1,5,4,8,2,6]=>1101010=>7
[6,3,4,1,5,8,2,7]=>1010010=>6
[5,3,4,2,1,8,6,7]=>1011010=>6
[4,3,5,2,7,1,6,8]=>1010100=>7
[5,6,3,8,1,4,2,7]=>0101010=>4
[8,1,7,2,4,5,6,3]=>1010001=>6
[7,6,1,2,4,5,8,3]=>1100001=>6
[4,7,8,2,3,1,6,5]=>0010101=>1
[5,6,2,8,1,4,7,3]=>0101001=>3
[6,5,2,1,3,7,8,4]=>1110001=>6
[7,5,1,3,2,6,8,4]=>1101001=>6
[8,1,6,3,2,5,7,4]=>1011001=>5
[7,4,1,3,5,2,8,6]=>1100101=>6
[5,4,2,3,1,6,8,7]=>1101001=>6
[7,3,1,4,5,6,2,8]=>1100010=>7
[8,1,4,3,5,6,2,7]=>1010010=>6
[6,2,3,1,5,7,8,4]=>1010001=>6
[7,8,4,2,1,6,5,3]=>0111011=>2
[7,8,4,2,1,5,6,3]=>0111001=>3
[6,2,3,4,8,7,1,5]=>1000110=>5
[6,2,3,4,7,8,1,5]=>1000010=>6
[7,8,3,4,6,2,1,5]=>0100110=>3
[7,8,3,6,4,2,1,5]=>0101110=>2
[7,8,3,5,6,2,1,4]=>0100110=>3
[6,2,3,8,7,5,1,4]=>1001110=>4
[6,2,3,7,8,5,1,4]=>1000110=>5
[5,2,6,3,8,1,7,4]=>1010101=>4
[6,3,2,5,8,7,1,4]=>1100110=>6
[6,3,2,8,4,7,1,5]=>1101010=>7
[6,4,3,8,7,5,1,2]=>1101110=>6
[6,4,3,7,8,5,1,2]=>1100110=>6
[6,2,4,1,7,3,5,8]=>1010100=>7
[6,3,2,7,4,8,1,5]=>1101010=>7
[6,3,2,5,7,8,1,4]=>1100010=>7
[5,7,2,3,6,1,8,4]=>0100101=>2
[5,8,2,3,6,1,7,4]=>0100101=>2
[4,7,5,8,3,2,1,6]=>0101110=>2
[4,5,6,8,3,2,1,7]=>0001110=>2
[4,6,8,5,3,2,1,7]=>0011110=>2
[5,6,1,4,2,3,7,8]=>0101000=>5
[5,6,8,4,3,7,1,2]=>0011010=>2
[5,6,1,4,2,3,8,7]=>0101001=>3
[5,2,8,3,4,1,7,6]=>1010101=>4
[4,5,8,6,3,2,1,7]=>0011110=>2
[4,6,5,8,3,2,1,7]=>0101110=>2
[4,7,5,6,3,2,1,8]=>0101110=>2
[6,2,3,4,5,8,1,7]=>1000010=>6
[5,1,4,3,6,2,8,7]=>1010101=>4
[5,1,4,3,7,2,8,6]=>1010101=>4
[5,1,4,3,8,2,7,6]=>1010101=>4
[5,6,2,4,1,7,8,3]=>0101001=>3
[5,6,2,4,1,8,7,3]=>0101011=>1
[5,7,2,4,1,8,6,3]=>0101011=>1
[6,1,4,2,8,7,5,3]=>1010111=>3
[6,1,4,2,7,8,5,3]=>1010011=>5
[5,8,2,4,1,7,6,3]=>0101011=>1
[5,2,7,4,1,6,8,3]=>1011001=>5
[5,4,1,3,7,2,6,8]=>1100100=>7
[5,1,4,3,6,2,7,8]=>1010100=>7
[5,8,6,4,3,7,1,2]=>0111010=>3
[5,8,1,4,2,3,7,6]=>0101001=>3
[5,1,6,3,4,2,7,8]=>1010100=>7
[4,8,6,5,3,2,1,7]=>0111110=>2
[4,8,5,6,3,2,1,7]=>0101110=>2
[5,4,7,8,3,2,1,6]=>1001110=>4
[5,4,8,7,3,2,1,6]=>1011110=>4
[4,6,8,7,3,2,1,5]=>0011110=>2
[4,6,7,8,3,2,1,5]=>0001110=>2
[4,7,6,8,3,2,1,5]=>0101110=>2
[4,7,8,5,3,2,1,6]=>0011110=>2
[5,7,1,3,4,2,6,8]=>0100100=>5
[5,1,8,4,2,3,6,7]=>1011000=>6
[5,1,7,4,2,3,6,8]=>1011000=>6
[5,8,1,3,4,2,6,7]=>0100100=>5
[4,8,7,5,3,2,1,6]=>0111110=>2
[4,7,8,6,3,2,1,5]=>0011110=>2
[4,8,7,6,3,2,1,5]=>0111110=>2
[4,8,2,6,3,7,5,1]=>0101011=>1
[4,8,2,3,6,7,5,1]=>0100011=>3
[4,8,3,1,6,7,5,2]=>0110011=>2
[4,3,8,1,6,2,5,7]=>1010100=>7
[1,4,8,7,3,5,2,6]=>0011010=>2
[4,3,8,7,2,5,1,6]=>1011010=>6
[5,8,4,3,7,1,6,2]=>0110101=>3
[5,8,1,4,7,2,6,3]=>0100101=>2
[5,8,1,7,4,2,3,6]=>0101100=>3
[6,8,1,2,4,3,5,7]=>0100100=>5
[5,8,7,1,3,4,2,6]=>0110010=>4
[4,8,7,6,3,1,2,5]=>0111100=>3
[5,8,4,7,3,1,2,6]=>0101100=>3
[4,3,8,2,7,5,6,1]=>1010101=>4
[1,4,8,3,7,5,6,2]=>0010101=>1
[1,4,3,8,2,6,5,7]=>0101010=>4
[4,3,2,8,1,6,5,7]=>1101010=>7
[4,1,3,8,2,6,5,7]=>1001010=>5
[4,1,8,3,7,5,6,2]=>1010101=>4
[4,1,8,7,3,5,2,6]=>1011010=>6
[3,7,8,1,5,4,2,6]=>0010110=>2
[7,3,8,1,5,4,6,2]=>1010101=>4
[3,4,8,1,6,2,5,7]=>0010100=>3
[3,4,8,7,2,5,1,6]=>0011010=>2
[3,4,8,2,7,5,6,1]=>0010101=>1
[1,2,4,8,3,6,5,7]=>0001010=>2
[1,2,4,3,8,6,5,7]=>0010110=>2
[3,4,2,1,8,6,5,7]=>0110110=>3
[3,4,1,8,2,6,5,7]=>0101010=>4
[3,6,7,8,4,1,2,5]=>0001100=>3
[4,1,7,8,5,3,2,6]=>1001110=>4
[4,1,2,8,3,6,5,7]=>1001010=>5
[1,4,3,2,8,6,5,7]=>0110110=>3
[4,2,3,1,8,6,5,7]=>1010110=>5
[3,7,6,8,4,2,1,5]=>0101110=>2
[4,7,1,8,5,2,3,6]=>0101100=>3
[2,6,8,7,4,3,1,5]=>0011110=>2
[3,7,8,6,2,4,1,5]=>0011010=>2
[3,7,8,2,6,4,5,1]=>0010101=>1
[4,2,3,8,1,6,5,7]=>1001010=>5
[4,3,1,8,2,6,5,7]=>1101010=>7
[1,4,7,8,5,3,2,6]=>0001110=>2
[4,3,7,8,5,2,1,6]=>1001110=>4
[3,7,2,8,4,6,5,1]=>0101011=>1
[4,2,8,6,3,1,5,7]=>1011100=>5
[2,6,8,4,7,3,1,5]=>0010110=>2
[2,4,8,6,3,1,5,7]=>0011100=>3
[7,3,6,8,4,2,1,5]=>1001110=>4
[7,6,2,8,3,5,4,1]=>1101011=>5
[1,7,3,8,4,6,5,2]=>0101011=>1
[1,3,4,8,2,6,5,7]=>0001010=>2
[3,2,4,8,1,6,5,7]=>1001010=>5
[7,3,8,6,2,4,1,5]=>1011010=>6
[7,3,8,2,6,4,5,1]=>1010101=>4
[2,4,8,3,6,1,5,7]=>0010100=>3
[6,2,8,7,4,3,5,1]=>1011101=>4
[7,4,1,8,5,2,6,3]=>1101101=>5
[7,3,2,8,4,6,5,1]=>1101011=>5
[2,4,3,1,8,6,5,7]=>0110110=>3
[1,3,4,2,8,6,5,7]=>0010110=>2
[1,3,2,4,8,6,5,7]=>0100110=>3
[3,2,1,4,8,6,5,7]=>1100110=>6
[3,1,2,4,8,6,5,7]=>1000110=>5
[3,1,4,2,8,6,5,7]=>1010110=>5
[3,1,4,8,2,6,5,7]=>1001010=>5
[7,3,4,8,5,1,6,2]=>1001101=>4
[3,7,4,8,5,1,2,6]=>0101100=>3
[6,7,2,8,3,5,4,1]=>0101011=>1
[2,3,1,4,8,6,5,7]=>0100110=>3
[2,1,3,4,8,6,5,7]=>1000110=>5
[1,2,3,4,8,6,5,7]=>0000110=>2
[4,8,3,6,2,1,5,7]=>0101100=>3
[3,5,8,2,6,1,4,7]=>0010100=>3
[3,6,5,8,2,4,1,7]=>0101010=>4
[5,3,8,7,2,4,6,1]=>1011001=>5
[2,8,4,5,7,3,6,1]=>0100101=>2
[2,4,5,7,3,8,1,6]=>0001010=>2
[6,2,4,5,8,3,1,7]=>1000110=>5
[4,8,1,2,5,6,3,7]=>0100010=>4
[8,1,3,5,2,6,4,7]=>1001010=>5
[5,2,1,6,3,8,4,7]=>1101010=>7
[6,2,5,1,8,4,3,7]=>1010110=>5
[3,6,1,5,8,4,2,7]=>0100110=>3
[6,1,4,5,8,3,2,7]=>1000110=>5
[5,6,4,8,1,3,2,7]=>0101010=>4
[6,5,4,3,8,2,1,7]=>1110110=>7
[5,4,3,7,2,8,1,6]=>1101010=>7
[5,8,4,3,7,2,6,1]=>0110101=>3
[4,6,8,3,7,2,5,1]=>0010101=>1
[7,4,6,3,2,8,1,5]=>1011010=>6
[1,4,3,6,2,7,8,5]=>0101001=>3
[1,5,4,3,7,2,8,6]=>0110101=>3
[4,7,8,5,3,1,2,6]=>0011100=>3
[5,7,3,4,1,2,8,6]=>0101001=>3
[8,5,4,7,6,2,1,3]=>1101110=>6
[8,5,7,4,3,6,1,2]=>1011010=>6
[4,3,8,1,6,7,5,2]=>1010011=>5
[4,7,8,3,6,1,5,2]=>0010101=>1
[5,3,8,6,7,4,1,2]=>1010110=>5
[1,3,8,6,4,7,5,2]=>0011011=>1
[8,6,2,7,4,1,5,3]=>1101101=>5
[7,6,2,1,4,3,8,5]=>1110101=>6
[7,6,1,3,4,2,8,5]=>1100101=>6
[1,5,7,3,2,6,8,4]=>0011001=>2
[1,6,7,3,2,5,8,4]=>0011001=>2
[3,2,6,8,5,7,4,1]=>1001011=>4
[5,8,2,3,6,7,4,1]=>0100011=>3
[7,5,2,3,1,6,8,4]=>1101001=>6
[1,6,4,7,2,3,8,5]=>0101001=>3
[3,1,7,5,2,8,4,6]=>1011010=>6
[2,5,7,4,1,8,3,6]=>0011010=>2
[4,2,6,1,7,8,3,5]=>1010010=>6
[4,2,7,6,3,8,1,5]=>1011010=>6
[6,4,8,7,2,3,5,1]=>1011001=>5
[3,2,6,8,7,4,5,1]=>1001101=>4
[3,2,7,4,1,6,8,5]=>1011001=>5
[6,3,2,1,7,8,4,5]=>1110010=>7
[3,7,1,8,4,2,5,6]=>0101100=>3
[4,2,1,3,7,5,8,6]=>1100101=>6
[8,1,3,7,4,2,6,5]=>1001101=>4
[8,4,3,7,6,2,1,5]=>1101110=>6
[8,3,5,2,7,6,1,4]=>1010110=>5
[3,6,2,8,7,1,5,4]=>0101101=>2
[7,3,2,8,1,6,5,4]=>1101011=>5
[3,8,7,2,6,5,4,1]=>0110111=>1
[4,2,7,8,6,1,5,3]=>1001101=>4
[6,8,2,4,7,1,5,3]=>0100101=>2
[5,2,1,8,7,3,6,4]=>1101101=>5
[8,2,1,6,3,7,5,4]=>1101011=>5
[6,8,3,1,7,5,2,4]=>0110110=>3
[5,8,1,6,7,2,4,3]=>0100101=>2
[6,2,8,1,5,7,4,3]=>1010011=>5
[5,7,8,2,6,1,4,3]=>0010101=>1
[8,7,2,5,6,4,3,1]=>1100111=>4
[8,6,7,5,2,4,3,1]=>1011011=>3
[7,2,6,8,1,5,4,3]=>1001011=>4
[1,2,7,8,5,6,4,3]=>0001011=>1
[7,4,8,1,6,2,5,3]=>1010101=>4
[3,7,1,8,2,6,5,4]=>0101011=>1
[2,1,7,3,8,6,5,4]=>1010111=>3
[8,2,1,7,6,5,4,3]=>1101111=>3
[8,1,4,7,6,5,3,2]=>1001111=>3
[8,6,7,5,1,4,3,2]=>1011011=>3
[7,8,6,5,4,1,3,2]=>0111101=>2
[5,8,4,3,2,1,6,7]=>0111100=>3
[6,4,7,3,2,1,8,5]=>1011101=>4
[5,4,7,3,2,1,6,8]=>1011100=>5
[6,5,3,7,2,1,4,8]=>1101100=>7
[5,8,3,6,2,1,4,7]=>0101100=>3
[6,3,7,8,2,1,4,5]=>1001100=>6
[5,3,7,6,2,1,4,8]=>1011100=>5
[3,8,7,6,2,1,4,5]=>0111100=>3
[5,8,4,2,6,1,3,7]=>0110100=>4
[4,8,7,2,5,1,3,6]=>0110100=>4
[5,8,3,2,6,1,4,7]=>0110100=>4
[4,8,3,2,5,1,7,6]=>0110101=>3
[4,3,7,2,5,1,8,6]=>1010101=>4
[3,8,7,2,5,1,4,6]=>0110100=>4
[6,4,2,7,5,1,3,8]=>1101100=>7
[6,3,2,7,5,1,4,8]=>1101100=>7
[5,3,2,6,7,1,4,8]=>1100100=>7
[3,8,2,6,5,1,4,7]=>0101100=>3
[6,2,7,8,5,1,3,4]=>1001100=>6
[5,2,7,6,8,1,3,4]=>1010100=>7
[4,2,7,6,5,1,3,8]=>1011100=>5
[2,8,7,6,5,1,3,4]=>0111100=>3
[6,5,4,3,1,7,8,2]=>1111001=>6
[6,4,7,3,1,5,8,2]=>1011001=>5
[5,4,7,3,1,8,6,2]=>1011011=>3
[6,4,3,7,1,5,8,2]=>1101001=>6
[5,4,3,6,1,8,7,2]=>1101011=>5
[6,3,7,8,1,4,5,2]=>1001001=>5
[5,3,7,6,1,4,8,2]=>1011001=>5
[4,3,7,6,1,5,8,2]=>1011001=>5
[3,8,7,6,1,4,5,2]=>0111001=>3
[6,5,4,2,1,7,3,8]=>1111010=>7
[6,4,7,2,1,5,3,8]=>1011010=>6
[4,8,7,2,1,5,3,6]=>0111010=>3
[5,8,3,2,1,4,7,6]=>0111001=>3
[4,8,3,2,1,5,7,6]=>0111001=>3
[5,3,7,2,1,4,8,6]=>1011001=>5
[3,8,7,2,1,4,5,6]=>0111000=>4
[6,5,2,7,1,4,3,8]=>1101010=>7
[5,8,2,6,1,4,3,7]=>0101010=>4
[6,4,2,7,1,5,3,8]=>1101010=>7
[5,4,2,6,1,8,3,7]=>1101010=>7
[4,3,2,6,1,5,8,7]=>1101001=>6
[6,2,7,8,1,4,3,5]=>1001010=>5
[4,2,7,6,1,5,3,8]=>1011010=>6
[3,2,7,6,1,4,5,8]=>1011000=>6
[6,5,4,1,8,7,3,2]=>1110111=>4
[5,8,4,1,6,7,3,2]=>0110011=>2
[6,4,7,1,5,8,3,2]=>1010011=>5
[5,4,7,1,6,8,3,2]=>1010011=>5
[4,8,7,1,5,6,3,2]=>0110011=>2
[5,4,3,1,6,8,7,2]=>1110011=>5
[4,8,3,1,5,6,7,2]=>0110001=>4
[3,8,7,1,5,4,6,2]=>0110101=>3
[5,8,2,1,6,4,3,7]=>0110110=>3
[6,3,2,1,5,4,8,7]=>1110101=>6
[5,3,2,1,6,4,8,7]=>1110101=>6
[3,8,2,1,5,4,6,7]=>0110100=>4
[6,2,7,1,5,4,3,8]=>1010110=>5
[5,2,7,1,6,4,3,8]=>1010110=>5
[4,2,7,1,5,6,3,8]=>1010010=>6
[3,2,7,1,5,4,6,8]=>1010100=>7
[2,8,7,1,5,4,3,6]=>0110110=>3
[6,5,1,7,8,4,3,2]=>1100111=>4
[5,8,1,6,7,4,3,2]=>0100111=>2
[6,4,1,7,5,8,3,2]=>1101011=>5
[5,4,1,6,7,8,3,2]=>1100011=>5
[4,8,1,6,5,7,3,2]=>0101011=>1
[6,3,1,7,5,4,8,2]=>1101101=>5
[5,3,1,6,7,4,8,2]=>1100101=>6
[4,3,1,6,5,7,8,2]=>1101001=>6
[3,8,1,6,5,4,7,2]=>0101101=>2
[5,2,1,6,7,4,3,8]=>1100110=>6
[4,2,1,6,5,7,3,8]=>1101010=>7
[2,8,1,6,5,4,3,7]=>0101110=>2
[6,1,7,8,5,4,3,2]=>1001111=>3
[4,1,7,6,5,8,3,2]=>1011011=>3
[3,1,7,6,5,4,8,2]=>1011101=>4
[4,5,8,1,2,6,3,7]=>0010010=>3
[1,4,5,7,2,6,3,8]=>0001010=>2
[1,7,3,5,6,2,4,8]=>0100100=>5
[8,1,3,5,7,2,4,6]=>1000100=>6
[3,6,8,1,7,2,4,5]=>0010100=>3
[3,4,5,6,8,1,7,2]=>0000101=>1
[4,5,8,2,6,7,1,3]=>0010010=>3
[8,2,3,5,6,7,1,4]=>1000010=>6
[1,7,2,3,5,4,6,8]=>0100100=>5
[8,1,2,3,5,4,6,7]=>1000100=>6
[2,7,8,1,3,5,4,6]=>0010010=>3
[2,7,8,3,5,6,1,4]=>0010010=>3
[2,4,5,7,8,1,6,3]=>0000101=>1
[4,5,8,1,7,6,3,2]=>0010111=>1
[4,5,8,7,2,1,6,3]=>0011101=>1
[8,7,3,5,6,2,1,4]=>1100110=>6
[8,7,2,1,3,5,4,6]=>1110010=>7
[3,6,8,7,2,1,5,4]=>0011101=>1
[8,6,4,1,7,5,3,2]=>1110111=>4
[7,6,4,3,1,8,5,2]=>1111011=>5
[2,3,6,7,8,1,5,4]=>0000101=>1
[3,6,8,1,2,5,4,7]=>0010010=>3
[1,3,6,7,2,5,4,8]=>0001010=>2
[7,4,1,8,5,2,3,6]=>1101100=>7
[7,1,4,2,8,3,6,5]=>1010101=>4
[7,1,8,2,5,3,6,4]=>1010101=>4
[8,1,7,5,4,2,3,6]=>1011100=>5
[1,7,2,6,5,4,3,8]=>0101110=>2
[1,7,6,3,2,5,4,8]=>0111010=>3
[8,6,3,1,2,5,4,7]=>1110010=>7
[8,1,7,6,3,2,4,5]=>1011100=>5
[8,2,5,7,6,3,1,4]=>1001110=>4
[3,6,8,1,7,5,4,2]=>0010111=>1
[8,2,6,7,5,4,1,3]=>1001110=>4
[2,7,8,6,3,1,5,4]=>0011101=>1
[2,7,8,1,6,5,4,3]=>0010111=>1
[7,3,1,8,6,5,4,2]=>1101111=>3
[8,7,2,1,6,5,4,3]=>1110111=>4
[8,7,6,3,2,1,5,4]=>1111101=>6
[2,1,8,6,3,7,4,5]=>1011010=>6
[8,6,1,5,2,7,4,3]=>1101011=>5
[8,5,1,7,4,2,6,3]=>1101101=>5
[2,1,7,5,4,3,8,6]=>1011101=>4
[2,1,7,8,3,6,5,4]=>1001011=>4
[2,1,4,8,5,7,3,6]=>1001010=>5
[8,5,3,1,6,2,4,7]=>1110100=>7
[6,4,1,5,2,3,8,7]=>1101001=>6
[8,3,7,5,2,6,1,4]=>1011010=>6
[5,3,7,4,6,8,1,2]=>1010010=>6
[5,8,3,7,6,2,1,4]=>0101110=>2
[4,2,6,3,8,5,1,7]=>1010110=>5
[5,8,2,1,7,6,4,3]=>0110111=>1
[8,3,2,4,1,7,5,6]=>1101010=>7
[7,8,3,1,5,4,6,2]=>0110101=>3
[7,2,8,1,4,6,5,3]=>1010011=>5
[6,2,3,1,4,5,8,7]=>1010001=>6
[6,8,1,4,5,3,2,7]=>0100110=>3
[8,2,6,1,4,7,3,5]=>1010010=>6
[8,3,5,6,1,7,4,2]=>1001011=>4
[6,3,5,4,1,2,8,7]=>1011001=>5
[8,7,3,6,5,1,4,2]=>1101101=>5
[2,7,4,3,6,1,8,5]=>0110101=>3
[3,4,7,2,8,1,5,6]=>0010100=>3
[4,2,3,5,8,1,6,7]=>1000100=>6
[3,8,4,7,1,6,5,2]=>0101011=>1
[3,2,4,6,1,5,8,7]=>1001001=>5
[8,3,4,5,7,6,1,2]=>1000110=>5
[3,2,4,5,6,8,1,7]=>1000010=>6
[5,6,8,1,4,2,7,3]=>0010101=>1
[1,5,7,8,4,6,2,3]=>0001010=>2
[1,3,5,7,8,6,2,4]=>0000110=>2
[3,5,7,8,6,1,2,4]=>0001100=>3
[3,5,1,6,8,2,7,4]=>0100101=>2
[3,1,5,6,8,2,7,4]=>1000101=>5
[2,3,5,6,8,1,7,4]=>0000101=>1
[5,6,4,8,2,1,7,3]=>0101101=>2
[5,1,6,3,8,4,7,2]=>1010101=>4
[2,5,1,6,8,3,7,4]=>0100101=>2
[5,1,2,6,8,3,7,4]=>1000101=>5
[5,7,1,8,6,2,3,4]=>0101100=>3
[1,5,2,7,8,6,3,4]=>0100110=>3
[1,6,7,5,2,8,3,4]=>0011010=>2
[6,1,7,5,2,8,3,4]=>1011010=>6
[2,6,7,5,1,8,3,4]=>0011010=>2
[5,7,2,8,6,1,3,4]=>0101100=>3
[3,5,7,8,6,2,1,4]=>0001110=>2
[5,1,7,8,6,3,4,2]=>1001101=>4
[5,1,3,7,8,6,4,2]=>1000111=>4
[5,2,7,8,4,6,1,3]=>1001010=>5
[3,2,5,7,8,6,1,4]=>1000110=>5
[6,2,7,5,1,8,3,4]=>1011010=>6
[1,2,6,7,5,8,3,4]=>0001010=>2
[6,2,7,5,4,1,8,3]=>1011101=>4
[6,7,5,2,4,1,8,3]=>0110101=>3
[6,7,2,5,3,8,1,4]=>0101010=>4
[6,7,4,5,2,1,8,3]=>0101101=>2
[5,1,7,8,6,4,3,2]=>1001111=>3
[2,5,7,8,6,3,1,4]=>0001110=>2
[5,1,7,8,6,3,2,4]=>1001110=>4
[6,3,7,5,1,8,2,4]=>1011010=>6
[1,6,7,5,3,8,2,4]=>0011010=>2
[1,6,7,5,4,2,8,3]=>0011101=>1
[6,7,5,1,4,2,8,3]=>0110101=>3
[5,7,8,6,4,1,2,3]=>0011100=>3
[4,1,7,2,6,5,8,3]=>1010101=>4
[2,4,7,1,5,6,8,3]=>0010001=>2
[6,7,4,1,5,2,8,3]=>0110101=>3
[1,6,7,4,5,2,8,3]=>0010101=>1
[1,6,3,7,5,8,2,4]=>0101010=>4
[6,3,1,7,5,8,2,4]=>1101010=>7
[2,5,3,7,8,6,1,4]=>0100110=>3
[6,7,5,4,2,1,8,3]=>0111101=>2
[6,3,2,7,5,8,1,4]=>1101010=>7
[6,7,4,2,5,1,8,3]=>0110101=>3
[6,2,7,4,5,1,8,3]=>1010101=>4
[6,2,3,7,5,8,1,4]=>1001010=>5
[4,5,1,6,3,2,8,7]=>0101101=>2
[7,5,1,6,3,8,2,4]=>1101010=>7
[7,5,1,6,3,8,4,2]=>1101011=>5
[2,7,6,1,3,8,4,5]=>0110010=>4
[2,7,6,1,3,8,5,4]=>0110011=>2
[7,3,5,1,8,2,6,4]=>1010101=>4
[7,3,5,1,8,2,4,6]=>1010100=>7
[3,7,5,1,8,6,2,4]=>0110110=>3
[2,6,7,1,5,8,3,4]=>0010010=>3
[2,6,7,4,1,8,3,5]=>0011010=>2
[2,1,6,7,3,8,5,4]=>1001011=>4
[2,6,7,4,1,8,5,3]=>0011011=>1
[2,6,7,1,5,8,4,3]=>0010011=>1
[3,6,5,1,8,4,7,2]=>0110101=>3
[3,6,5,1,8,4,2,7]=>0110110=>3
[3,7,5,4,8,1,6,2]=>0110101=>3
[3,7,5,4,8,1,2,6]=>0110100=>4
[4,6,1,5,8,7,3,2]=>0100111=>2
[4,6,1,5,8,7,2,3]=>0100110=>3
[4,6,1,5,8,2,7,3]=>0100101=>2
[7,5,1,6,2,8,3,4]=>1101010=>7
[7,5,1,6,2,8,4,3]=>1101011=>5
[4,6,1,5,8,2,3,7]=>0100100=>5
[4,7,1,5,8,3,6,2]=>0100101=>2
[2,3,4,7,8,1,6,5]=>0000101=>1
[6,8,5,4,3,2,7,1]=>0111101=>2
[7,9,6,5,4,3,2,8,1]=>01111101=>2
[8,9,6,5,4,3,2,1,7]=>01111110=>2
[6,8,5,4,3,7,2,1]=>0111011=>2
[5,8,4,3,2,1,7,6]=>0111101=>2
[6,5,4,3,1,8,7,2]=>1111011=>5
[8,7,6,5,4,3,9,1,2]=>11111010=>8
[8,7,5,4,3,1,6,2]=>1111101=>6
[9,7,6,5,4,3,1,8,2]=>11111101=>7
[11,10,9,8,7,6,5,4,3,1,2]=>1111111110=>10
[8,3,4,6,2,1,5,7]=>1001100=>6
[3,5,6,2,1,8,4,7]=>0011010=>2
[3,5,2,6,8,4,1,7]=>0100110=>3
[7,5,3,2,8,4,1,6]=>1110110=>7
[7,5,3,2,8,4,6,1]=>1110101=>6
[2,4,5,7,3,8,6,1]=>0001011=>1
[4,2,5,6,8,3,1,7]=>1000110=>5
[4,2,8,1,5,6,3,7]=>1010010=>6
[2,5,6,1,8,4,3,7]=>0010110=>2
[5,3,6,8,1,4,2,7]=>1001010=>5
[4,5,6,8,1,3,2,7]=>0001010=>2
[1,4,5,6,8,3,2,7]=>0000110=>2
[4,5,6,3,8,2,1,7]=>0010110=>2
[4,5,3,7,2,8,6,1]=>0101011=>1
[6,4,7,3,2,8,5,1]=>1011011=>3
[6,1,4,7,3,2,8,5]=>1001101=>4
[1,7,8,4,5,3,2,6]=>0010110=>2
[5,1,7,3,8,4,2,6]=>1010110=>5
[2,5,1,7,4,3,8,6]=>0101101=>2
[2,5,7,4,1,8,6,3]=>0011011=>1
[5,3,7,1,4,8,6,2]=>1010011=>5
[6,4,3,1,7,8,5,2]=>1110011=>5
[6,4,1,7,3,8,5,2]=>1101011=>5
[5,6,3,7,8,4,2,1]=>0100111=>2
[5,1,6,3,7,8,4,2]=>1010011=>5
[5,6,1,3,7,8,4,2]=>0100011=>3
[5,6,1,7,8,3,4,2]=>0100101=>2
[1,6,3,7,4,8,5,2]=>0101011=>1
[6,7,2,4,1,8,5,3]=>0101011=>1
[6,7,2,1,4,3,8,5]=>0110101=>3
[6,4,7,3,1,2,8,5]=>1011001=>5
[5,6,3,1,2,7,8,4]=>0110001=>4
[5,6,1,3,2,7,8,4]=>0101001=>3
[5,6,3,2,1,7,8,4]=>0111001=>3
[2,5,6,3,7,8,4,1]=>0010011=>1
[2,5,6,3,1,7,8,4]=>0011001=>2
[2,6,4,7,3,1,8,5]=>0101101=>2
[6,3,7,2,8,4,5,1]=>1010101=>4
[6,3,7,2,8,4,1,5]=>1010110=>5
[6,3,2,7,1,8,4,5]=>1101010=>7
[7,5,3,2,1,8,4,6]=>1111010=>7
[7,3,8,4,2,1,5,6]=>1011100=>5
[4,7,2,1,3,8,6,5]=>0110011=>2
[1,3,7,8,6,4,2,5]=>0001110=>2
[7,3,8,4,6,2,1,5]=>1010110=>5
[5,7,3,8,2,1,6,4]=>0101101=>2
[6,3,7,8,5,2,1,4]=>1001110=>4
[4,6,2,7,8,5,3,1]=>0100111=>2
[4,6,2,1,7,8,5,3]=>0110011=>2
[7,4,5,8,1,2,6,3]=>1001001=>5
[2,5,1,7,3,8,6,4]=>0101011=>1
[6,7,2,1,3,8,5,4]=>0110011=>2
[5,1,6,7,8,2,4,3]=>1000101=>5
[6,3,7,1,8,5,2,4]=>1010110=>5
[6,2,1,7,3,8,5,4]=>1101011=>5
[6,2,7,1,8,5,4,3]=>1010111=>3
[6,3,1,7,8,5,4,2]=>1100111=>4
[4,1,3,6,8,2,5,7]=>1000100=>6
[4,2,3,6,8,1,5,7]=>1000100=>6
[5,3,2,1,8,4,7,6]=>1110101=>6
[3,6,5,8,2,1,7,4]=>0101101=>2
[4,5,2,1,3,8,7,6]=>0110011=>2
[3,2,6,4,5,8,1,7]=>1010010=>6
[2,4,6,5,8,1,3,7]=>0010100=>3
[1,6,2,4,5,8,3,7]=>0100010=>4
[5,3,2,1,6,8,4,7]=>1110010=>7
[6,2,4,5,8,1,3,7]=>1000100=>6
[1,3,4,6,5,8,2,7]=>0001010=>2
[1,6,3,4,5,8,2,7]=>0100010=>4
[3,4,1,8,5,2,7,6]=>0101101=>2
[2,8,4,1,7,6,3,5]=>0110110=>3
[8,1,4,2,7,3,6,5]=>1010101=>4
[1,5,3,2,8,7,4,6]=>0110110=>3
[8,2,1,7,5,3,4,6]=>1101100=>7
[1,7,6,4,5,8,3,2]=>0110011=>2
[5,8,7,4,1,2,6,3]=>0111001=>3
[5,8,7,4,6,2,1,3]=>0110110=>3
[3,4,2,5,8,6,7,1]=>0100101=>2
[4,1,3,5,6,8,7,2]=>1000011=>5
[2,4,8,6,7,1,3,5]=>0010100=>3
[4,3,6,2,8,1,7,5]=>1010101=>4
[3,7,4,8,2,1,6,5]=>0101101=>2
[2,3,5,8,6,7,1,4]=>0001010=>2
[3,2,5,6,8,7,1,4]=>1000110=>5
[2,1,8,5,6,7,3,4]=>1010010=>6
[1,2,8,3,5,6,7,4]=>0010001=>2
[4,2,3,7,1,8,6,5]=>1001011=>4
[3,2,6,4,8,1,7,5]=>1010101=>4
[8,2,1,6,7,3,4,5]=>1100100=>7
[2,7,8,5,4,1,3,6]=>0011100=>3
[1,7,5,3,8,4,2,6]=>0110110=>3
[4,7,5,3,1,2,8,6]=>0111001=>3
[7,2,4,8,5,3,1,6]=>1001110=>4
[4,8,3,1,2,7,6,5]=>0110011=>2
[3,5,2,7,4,1,8,6]=>0101101=>2
[8,4,2,3,7,1,5,6]=>1100100=>7
[2,8,4,7,1,3,5,6]=>0101000=>5
[8,2,4,6,7,1,3,5]=>1000100=>6
[4,8,2,3,6,7,1,5]=>0100010=>4
[3,5,2,7,6,1,8,4]=>0101101=>2
[1,6,3,2,5,8,7,4]=>0110011=>2
[5,8,3,2,1,6,7,4]=>0111001=>3
[5,8,7,3,4,6,2,1]=>0110011=>2
[5,8,2,7,4,1,6,3]=>0101101=>2
[5,1,4,2,8,7,6,3]=>1010111=>3
[4,7,6,5,8,2,1,3]=>0110110=>3
[5,3,7,1,6,2,8,4]=>1010101=>4
[5,2,6,8,7,1,3,4]=>1001100=>6
[6,3,2,1,8,5,7,4]=>1110101=>6
[2,7,5,4,1,8,6,3]=>0111011=>2
[4,2,5,6,8,7,1,3]=>1000110=>5
[1,8,4,2,5,6,7,3]=>0110001=>4
[3,8,4,1,5,6,7,2]=>0110001=>4
[4,2,8,5,6,7,1,3]=>1010010=>6
[5,2,4,7,1,8,6,3]=>1001011=>4
[5,3,4,7,1,8,6,2]=>1001011=>4
[8,6,4,1,3,2,5,7]=>1110100=>7
[8,1,3,6,5,2,4,7]=>1001100=>6
[8,1,4,3,6,5,2,7]=>1010110=>5
[3,6,5,2,1,8,7,4]=>0111011=>2
[8,3,2,4,6,5,1,7]=>1100110=>6
[8,4,2,1,6,5,3,7]=>1110110=>7
[8,4,1,2,6,5,3,7]=>1100110=>6
[8,6,4,2,1,5,3,7]=>1111010=>7
[8,3,6,4,1,5,2,7]=>1011010=>6
[8,2,6,3,4,5,1,7]=>1010010=>6
[1,3,4,8,5,7,2,6]=>0001010=>2
[5,8,4,7,6,2,3,1]=>0101101=>2
[1,3,4,7,5,8,2,6]=>0001010=>2
[1,3,5,2,4,8,7,6]=>0010011=>1
[2,6,5,1,3,8,7,4]=>0110011=>2
[4,7,1,6,5,8,3,2]=>0101011=>1
[5,4,8,7,6,3,1,2]=>1011110=>4
[2,8,5,1,4,7,6,3]=>0110011=>2
[4,3,1,5,8,6,7,2]=>1100101=>6
[4,1,3,5,8,6,7,2]=>1000101=>5
[6,5,3,8,4,7,1,2]=>1101010=>7
[5,4,2,1,6,8,7,3]=>1110011=>5
[6,8,4,3,2,7,1,5]=>0111010=>3
[3,4,7,8,2,1,6,5]=>0001101=>1
[5,1,3,2,8,6,7,4]=>1010101=>4
[5,3,1,2,8,6,7,4]=>1100101=>6
[5,2,3,1,6,8,7,4]=>1010011=>5
[5,3,2,1,8,6,7,4]=>1110101=>6
[5,2,1,3,6,8,7,4]=>1100011=>5
[2,4,7,3,8,1,6,5]=>0010101=>1
[6,3,8,2,7,4,1,5]=>1010110=>5
[8,2,1,3,6,4,7,5]=>1100101=>6
[3,5,1,7,8,4,2,6]=>0100110=>3
[2,7,4,5,8,3,1,6]=>0100110=>3
[1,8,4,3,7,2,6,5]=>0110101=>3
[3,4,8,7,2,1,6,5]=>0011101=>1
[5,4,7,8,3,6,2,1]=>1001011=>4
[6,4,3,8,7,2,1,5]=>1101110=>6
[6,3,8,7,4,1,2,5]=>1011100=>5
[3,5,7,2,4,8,1,6]=>0010010=>3
[8,4,7,2,3,1,5,6]=>1010100=>7
[8,4,7,1,3,2,5,6]=>1010100=>7
[8,4,7,2,1,3,5,6]=>1011000=>6
[8,6,4,2,1,3,7,5]=>1111001=>6
[8,6,4,1,3,2,7,5]=>1110101=>6
[8,6,4,2,3,1,7,5]=>1110101=>6
[3,5,7,2,6,1,8,4]=>0010101=>1
[6,1,3,8,5,7,2,4]=>1001010=>5
[5,8,3,2,6,7,1,4]=>0110010=>4
[4,8,5,3,6,2,7,1]=>0110101=>3
[2,8,1,5,4,7,6,3]=>0101011=>1
[1,5,8,7,4,6,2,3]=>0011010=>2
[2,1,7,6,4,5,8,3]=>1011001=>5
[1,7,2,4,6,5,8,3]=>0100101=>2
[3,5,1,7,6,8,2,4]=>0101010=>4
[5,8,2,6,1,3,7,4]=>0101001=>3
[6,3,5,8,7,2,1,4]=>1001110=>4
[2,5,7,8,4,1,6,3]=>0001101=>1
[4,2,8,1,5,6,7,3]=>1010001=>6
[4,1,5,2,6,8,7,3]=>1010011=>5
[3,4,5,1,6,8,7,2]=>0010011=>1
[4,2,8,5,1,6,7,3]=>1011001=>5
[4,1,8,5,2,6,7,3]=>1011001=>5
[2,7,1,8,5,4,6,3]=>0101101=>2
[5,8,6,2,1,3,7,4]=>0111001=>3
[8,2,4,1,5,6,7,3]=>1010001=>6
[4,6,3,5,8,1,7,2]=>0100101=>2
[1,7,8,3,5,4,6,2]=>0010101=>1
[3,4,5,1,8,6,7,2]=>0010101=>1
[3,8,1,4,5,6,7,2]=>0100001=>4
[3,4,5,6,8,2,1,7]=>0000110=>2
[3,4,5,7,1,8,6,2]=>0001011=>1
[3,4,5,7,8,2,6,1]=>0000101=>1
[3,4,6,2,8,5,1,7]=>0010110=>2
[3,4,6,8,1,5,2,7]=>0001010=>2
[3,4,7,2,1,8,6,5]=>0011011=>1
[3,4,7,8,1,5,6,2]=>0001001=>1
[3,4,8,2,1,5,6,7]=>0011000=>4
[3,5,2,6,7,8,1,4]=>0100010=>4
[3,5,2,7,8,4,6,1]=>0100101=>2
[3,5,2,8,4,1,6,7]=>0101100=>3
[3,5,6,2,8,4,1,7]=>0010110=>2
[3,5,6,8,4,1,2,7]=>0001100=>3
[3,5,7,2,4,8,6,1]=>0010011=>1
[3,5,7,2,8,4,6,1]=>0010101=>1
[3,5,7,8,4,1,6,2]=>0001101=>1
[3,6,2,1,7,8,5,4]=>0110011=>2
[3,6,2,1,8,5,4,7]=>0110110=>3
[3,6,7,2,4,8,5,1]=>0010011=>1
[3,6,7,2,8,5,4,1]=>0010111=>1
[3,6,7,8,4,5,1,2]=>0001010=>2
[3,6,8,2,4,5,1,7]=>0010010=>3
[3,7,2,1,4,8,6,5]=>0110011=>2
[3,7,2,1,8,5,6,4]=>0110101=>3
[3,7,2,8,4,5,6,1]=>0101001=>3
[3,7,8,2,4,5,6,1]=>0010001=>2
[3,8,2,1,4,5,6,7]=>0110000=>5
[4,1,5,6,7,8,3,2]=>1000011=>5
[4,1,5,7,3,8,6,2]=>1001011=>4
[4,1,6,3,7,8,5,2]=>1010011=>5
[4,1,6,3,8,5,2,7]=>1010110=>5
[4,1,6,7,3,8,5,2]=>1001011=>4
[4,1,6,7,8,5,2,3]=>1000110=>5
[4,1,6,8,3,5,2,7]=>1001010=>5
[4,1,7,3,2,8,6,5]=>1011011=>3
[4,1,7,8,3,5,6,2]=>1001001=>5
[4,1,8,3,2,5,6,7]=>1011000=>6
[4,5,2,6,7,8,3,1]=>0100011=>3
[4,5,2,6,8,1,3,7]=>0100100=>5
[4,5,6,3,8,1,2,7]=>0010100=>3
[4,5,6,8,3,1,2,7]=>0001100=>3
[4,5,7,3,8,1,6,2]=>0010101=>1
[4,5,8,3,2,1,6,7]=>0011100=>3
[4,6,2,3,7,8,5,1]=>0100011=>3
[4,6,2,3,8,5,1,7]=>0100110=>3
[4,6,2,7,3,8,5,1]=>0101011=>1
[4,6,2,7,8,5,1,3]=>0100110=>3
[4,6,7,3,2,8,5,1]=>0011011=>1
[4,6,8,3,2,5,1,7]=>0011010=>2
[4,7,2,3,1,8,6,5]=>0101011=>1
[4,7,2,8,3,5,6,1]=>0101001=>3
[4,7,8,3,2,5,6,1]=>0011001=>2
[4,8,2,3,1,5,6,7]=>0101000=>5
[5,1,2,6,8,4,3,7]=>1000110=>5
[5,1,2,7,4,8,6,3]=>1001011=>4
[5,1,2,7,8,4,6,3]=>1000101=>5
[5,1,2,8,4,3,6,7]=>1001100=>6
[5,1,6,3,8,4,2,7]=>1010110=>5
[5,1,6,7,4,8,2,3]=>1001010=>5
[5,1,6,7,8,4,2,3]=>1000110=>5
[5,1,8,3,4,2,6,7]=>1010100=>7
[5,6,2,3,8,4,1,7]=>0100110=>3
[5,6,2,7,8,4,1,3]=>0100110=>3
[5,6,8,3,4,2,1,7]=>0010110=>2
[5,7,2,3,4,8,6,1]=>0100011=>3
[5,7,2,3,8,4,6,1]=>0100101=>2
[5,7,8,3,4,2,6,1]=>0010101=>1
[5,8,2,3,4,1,6,7]=>0100100=>5
[6,1,2,3,7,8,5,4]=>1000011=>5
[6,1,2,3,8,5,4,7]=>1000110=>5
[6,1,2,7,8,5,4,3]=>1000111=>4
[6,1,2,8,4,5,3,7]=>1001010=>5
[6,1,7,3,4,8,5,2]=>1010011=>5
[6,1,7,3,8,5,4,2]=>1010111=>3
[6,1,7,8,4,5,3,2]=>1001011=>4
[6,1,8,3,4,5,2,7]=>1010010=>6
[6,7,2,3,8,5,4,1]=>0100111=>2
[6,7,2,8,4,5,3,1]=>0101011=>1
[6,8,2,3,4,5,1,7]=>0100010=>4
[7,1,2,3,4,8,6,5]=>1000011=>5
[7,1,2,8,4,5,6,3]=>1001001=>5
[7,1,8,3,4,5,6,2]=>1010001=>6
[6,4,1,8,2,3,7,5]=>1101001=>6
[5,8,1,2,4,3,7,6]=>0100101=>2
[1,3,5,7,2,6,4,8]=>0001010=>2
[3,5,8,6,1,2,4,7]=>0011000=>4
[3,1,6,8,2,4,7,5]=>1001001=>5
[3,6,2,8,1,5,7,4]=>0101001=>3
[2,6,1,3,8,4,7,5]=>0100101=>2
[1,7,5,2,3,4,6,8]=>0110000=>5
[2,7,5,1,3,8,4,6]=>0110010=>4
[8,2,5,7,4,6,1,3]=>1001010=>5
[8,2,1,3,7,6,4,5]=>1100110=>6
[8,2,5,1,3,7,4,6]=>1010010=>6
[8,2,7,5,3,1,6,4]=>1011101=>4
[8,2,6,5,4,7,1,3]=>1011010=>6
[7,6,5,2,4,8,1,3]=>1110010=>7
[7,8,2,5,3,1,6,4]=>0101101=>2
[7,1,8,6,3,2,4,5]=>1011100=>5
[6,8,1,5,3,2,4,7]=>0101100=>3
[1,6,7,5,3,2,4,8]=>0011100=>3
[6,5,1,2,4,8,3,7]=>1100010=>7
[7,8,1,6,4,2,3,5]=>0101100=>3
[8,4,1,2,5,6,3,7]=>1100010=>7
[1,7,3,6,5,2,4,8]=>0101100=>3
[8,1,3,7,2,6,4,5]=>1001010=>5
[7,3,2,6,5,1,8,4]=>1101101=>5
[7,8,4,2,5,6,1,3]=>0110010=>4
[8,2,7,4,5,6,1,3]=>1010010=>6
[8,2,3,6,5,1,7,4]=>1001101=>4
[7,9,8,6,5,4,3,2,1]=>01111111=>1
[6,9,8,7,5,4,3,2,1]=>01111111=>1
[5,9,8,7,6,4,3,2,1]=>01111111=>1
[4,9,8,7,6,5,3,2,1]=>01111111=>1
[3,9,8,7,6,5,4,2,1]=>01111111=>1
[2,9,8,7,6,5,4,3,1]=>01111111=>1
[8,10,9,7,6,5,4,3,2,1]=>011111111=>1
[6,9,7,8,5,4,3,2,1]=>01011111=>1
[7,10,9,8,6,5,4,3,2,1]=>011111111=>1
[4,8,6,5,7,3,2,1]=>0110111=>1
[5,9,8,6,7,4,3,2,1]=>01101111=>1
[6,10,9,8,7,5,4,3,2,1]=>011111111=>1
[3,8,7,5,4,6,2,1]=>0111011=>2
[4,8,5,6,7,3,2,1]=>0100111=>2
[4,9,8,7,5,6,3,2,1]=>01110111=>2
[5,10,9,8,7,6,4,3,2,1]=>011111111=>1
[2,8,7,6,4,3,5,1]=>0111101=>2
[3,8,7,4,5,6,2,1]=>0110011=>2
[3,9,8,7,6,4,5,2,1]=>01111011=>2
[4,10,9,8,7,6,5,3,2,1]=>011111111=>1
[1,8,7,6,5,3,2,4]=>0111110=>2
[2,8,7,6,3,4,5,1]=>0111001=>3
[2,9,8,7,6,5,3,4,1]=>01111101=>2
[3,10,9,8,7,6,5,4,2,1]=>011111111=>1
[1,8,7,6,5,2,3,4]=>0111100=>3
[1,9,8,7,6,5,4,2,3]=>01111110=>2
[2,10,9,8,7,6,5,4,3,1]=>011111111=>1
[7,2,8,6,5,4,1,3]=>1011110=>4
[7,2,8,5,4,6,1,3]=>1011010=>6
[6,3,2,8,5,1,7,4]=>1101101=>5
[8,4,7,2,5,6,3,1]=>1010011=>5
[6,8,5,4,3,1,7,2]=>0111101=>2
[5,8,6,4,1,3,7,2]=>0111001=>3
[4,8,6,1,5,3,7,2]=>0110101=>3
[3,6,1,8,5,2,7,4]=>0101101=>2
[3,4,1,2,8,6,7,5]=>0100101=>2
[6,8,3,5,4,1,7,2]=>0101101=>2
[7,2,5,8,3,6,1,4]=>1001010=>5
[1,7,5,6,3,4,2,8]=>0101010=>4
[7,2,6,8,5,3,1,4]=>1001110=>4
[7,6,3,8,5,2,1,4]=>1101110=>6
[7,2,6,4,8,3,1,5]=>1010110=>5
[1,5,7,4,2,6,3,8]=>0011010=>2
[4,2,3,1,7,8,5,6]=>1010010=>6
[5,2,8,4,1,7,6,3]=>1011011=>3
[8,6,3,4,7,2,5,1]=>1100101=>6
[6,8,3,4,5,1,7,2]=>0100101=>2
[1,6,3,2,5,8,4,7]=>0110010=>4
[8,3,2,1,5,4,7,6]=>1110101=>6
[6,3,7,1,5,8,4,2]=>1010011=>5
[2,5,1,8,4,3,7,6]=>0101101=>2
[6,2,5,4,8,1,3,7]=>1010100=>7
[4,3,1,6,5,8,2,7]=>1101010=>7
[1,3,5,4,6,8,2,7]=>0010010=>3
[6,1,3,4,5,8,2,7]=>1000010=>6
[8,3,4,1,5,2,7,6]=>1010101=>4
[7,5,4,2,6,8,3,1]=>1110011=>5
[8,2,6,4,1,7,3,5]=>1011010=>6
[7,3,8,4,5,2,1,6]=>1010110=>5
[7,2,5,1,8,4,3,6]=>1010110=>5
[1,7,3,2,5,4,8,6]=>0110101=>3
[8,7,2,1,5,3,4,6]=>1110100=>7
[3,6,1,5,8,7,4,2]=>0100111=>2
[8,3,6,4,5,1,7,2]=>1010101=>4
[5,4,6,8,1,2,7,3]=>1001001=>5
[6,4,7,2,3,5,8,1]=>1010001=>6
[6,8,4,1,3,5,7,2]=>0110001=>4
[3,4,7,8,6,2,5,1]=>0001101=>1
[4,1,3,5,7,8,6,2]=>1000011=>5
[6,5,1,8,4,7,3,2]=>1101011=>5
[5,3,1,8,4,7,6,2]=>1101011=>5
[8,2,7,4,6,1,3,5]=>1010100=>7
[4,7,3,2,8,1,6,5]=>0110101=>3
[6,3,1,4,7,2,8,5]=>1100101=>6
[8,7,3,6,1,5,2,4]=>1101010=>7
[7,4,3,6,8,2,5,1]=>1100101=>6
[2,4,7,3,8,5,6,1]=>0010101=>1
[2,8,6,1,5,7,3,4]=>0110010=>4
[7,8,2,5,4,3,1,6]=>0101110=>2
[1,8,3,4,2,7,6,5]=>0101011=>1
[8,5,3,7,4,2,6,1]=>1101101=>5
[5,7,3,2,4,1,8,6]=>0110101=>3
[2,8,3,4,7,1,5,6]=>0100100=>5
[4,1,3,6,7,8,2,5]=>1000010=>6
[1,7,6,3,2,5,8,4]=>0111001=>3
[3,8,1,5,6,2,7,4]=>0100101=>2
[8,2,5,6,1,7,4,3]=>1001011=>4
[7,1,5,2,8,6,4,3]=>1010111=>3
[6,5,4,8,7,2,1,3]=>1101110=>6
[1,8,6,4,5,2,7,3]=>0110101=>3
[1,8,5,3,6,2,7,4]=>0110101=>3
[3,6,2,1,7,5,8,4]=>0110101=>3
[2,5,4,1,8,7,6,3]=>0110111=>1
[4,7,2,6,5,8,1,3]=>0101010=>4
[6,8,1,4,2,7,3,5]=>0101010=>4
[6,3,4,7,1,8,2,5]=>1001010=>5
[3,4,7,8,2,5,6,1]=>0001001=>1
[1,8,2,4,5,6,7,3]=>0100001=>4
[5,2,4,1,6,8,7,3]=>1010011=>5
[3,2,5,7,6,1,8,4]=>1001101=>4
[4,3,5,6,1,8,7,2]=>1001011=>4
[5,3,4,1,7,6,8,2]=>1010101=>4
[3,1,4,6,5,7,8,2]=>1001001=>5
[1,4,7,3,5,6,8,2]=>0010001=>2
[1,3,2,7,5,8,6,4]=>0101011=>1
[1,4,2,5,8,3,7,6]=>0100101=>2
[4,1,2,6,8,5,3,7]=>1000110=>5
[1,5,2,4,8,7,6,3]=>0100111=>2
[1,2,6,4,8,7,5,3]=>0010111=>1
[1,2,7,4,8,6,5,3]=>0010111=>1
[1,3,2,7,5,8,4,6]=>0101010=>4
[1,3,2,8,5,7,4,6]=>0101010=>4
[1,5,2,4,8,7,3,6]=>0100110=>3
[1,2,6,4,8,7,3,5]=>0010110=>2
[1,2,7,8,5,6,3,4]=>0001010=>2
[1,3,8,2,6,7,4,5]=>0010010=>3
[1,6,7,8,2,5,3,4]=>0001010=>2
[1,5,7,8,2,3,6,4]=>0001001=>1
[1,5,2,7,8,4,6,3]=>0100101=>2
[1,3,6,2,4,8,7,5]=>0010011=>1
[1,6,7,3,4,8,5,2]=>0010011=>1
[1,5,3,7,4,8,6,2]=>0101011=>1
[2,8,4,1,5,3,7,6]=>0110101=>3
[3,8,4,1,5,7,2,6]=>0110010=>4
[1,3,8,4,2,7,6,5]=>0011011=>1
[1,2,8,4,7,3,6,5]=>0010101=>1
[1,2,7,4,8,3,6,5]=>0010101=>1
[1,2,6,4,8,3,7,5]=>0010101=>1
[1,5,2,4,8,3,7,6]=>0100101=>2
[1,8,3,5,2,7,4,6]=>0101010=>4
[1,3,8,6,2,7,4,5]=>0011010=>2
[1,4,8,6,7,2,3,5]=>0010100=>3
[1,2,6,8,5,3,7,4]=>0001101=>1
[1,2,7,8,6,3,5,4]=>0001101=>1
[1,6,7,8,5,2,3,4]=>0001100=>3
[1,5,7,8,6,2,3,4]=>0001100=>3
[1,4,7,6,8,2,3,5]=>0010100=>3
[1,3,7,6,2,8,4,5]=>0011010=>2
[2,3,8,7,4,1,6,5]=>0011101=>1
[1,2,5,8,7,6,3,4]=>0001110=>2
[1,2,6,8,7,5,3,4]=>0001110=>2
[1,2,7,8,6,5,3,4]=>0001110=>2
[5,2,6,7,3,4,8,1]=>1001001=>5
[5,2,4,7,6,3,8,1]=>1001101=>4
[5,6,2,1,7,8,3,4]=>0110010=>4
[5,6,2,1,4,8,7,3]=>0110011=>2
[2,6,1,4,5,8,7,3]=>0100011=>3
[5,4,2,7,6,3,8,1]=>1101101=>5
[2,3,7,6,4,5,8,1]=>0011001=>2
[2,6,1,7,5,8,3,4]=>0101010=>4
[2,6,1,7,4,8,5,3]=>0101011=>1
[5,1,2,7,8,4,3,6]=>1000110=>5
[2,6,1,7,4,8,3,5]=>0101010=>4
[3,6,4,1,7,8,2,5]=>0110010=>4
[5,4,6,1,3,8,7,2]=>1010011=>5
[3,6,4,1,5,8,7,2]=>0110011=>2
[2,6,1,5,4,8,7,3]=>0101011=>1
[2,6,1,4,7,8,5,3]=>0100011=>3
[5,1,2,4,8,6,7,3]=>1000101=>5
[5,1,2,4,8,7,3,6]=>1000110=>5
[5,1,2,4,8,7,6,3]=>1000111=>4
[1,2,3,8,5,4,7,6]=>0001101=>1
[4,3,1,2,8,5,7,6]=>1100101=>6
[2,1,5,3,8,6,4,7]=>1010110=>5
[1,2,3,8,5,6,4,7]=>0001010=>2
[1,2,3,8,6,4,5,7]=>0001100=>3
[1,2,3,8,6,5,4,7]=>0001110=>2
[1,2,3,8,5,4,6,7]=>0001100=>3
[2,6,1,5,4,8,3,7]=>0101010=>4
[5,1,2,4,8,6,3,7]=>1000110=>5
[5,1,2,4,8,3,7,6]=>1000101=>5
[5,6,3,1,4,8,2,7]=>0110010=>4
[2,5,4,3,1,8,6,7]=>0111010=>3
[5,4,6,3,1,8,7,2]=>1011011=>3
[3,6,4,5,1,8,7,2]=>0101011=>1
[3,6,5,4,1,8,7,2]=>0111011=>2
[5,2,6,1,7,8,4,3]=>1010011=>5
[5,1,6,2,8,7,3,4]=>1010110=>5
[2,1,3,7,8,6,4,5]=>1000110=>5
[2,1,3,7,8,5,6,4]=>1000101=>5
[5,2,4,1,7,8,6,3]=>1010011=>5
[4,3,1,2,8,6,7,5]=>1100101=>6
[5,1,4,2,8,6,7,3]=>1010101=>4
[2,1,3,6,8,5,7,4]=>1000101=>5
[1,2,3,8,6,7,4,5]=>0001010=>2
[1,2,3,8,7,5,4,6]=>0001110=>2
[1,2,3,8,7,4,5,6]=>0001100=>3
[1,2,3,8,5,7,4,6]=>0001010=>2
[2,1,3,6,8,7,4,5]=>1000110=>5
[5,4,1,2,8,7,6,3]=>1100111=>4
[3,1,6,2,8,7,5,4]=>1010111=>3
[1,2,3,4,5,9,6,7,8]=>00000100=>3
[1,2,3,4,9,5,6,7,8]=>00001000=>4
[1,2,3,9,4,5,6,7,8]=>00010000=>5
[1,2,9,3,4,5,6,7,8]=>00100000=>6
[1,2,3,4,5,6,7,10,8,9]=>000000010=>2
[1,2,3,4,5,9,7,6,8]=>00000110=>2
[1,2,3,4,5,6,10,7,8,9]=>000000100=>3
[1,2,3,4,9,6,5,7,8]=>00001100=>3
[1,2,3,4,5,10,6,7,8,9]=>000001000=>4
[1,2,8,4,5,3,6,7]=>0010100=>3
[1,2,3,9,5,4,6,7,8]=>00011000=>4
[1,2,3,4,10,5,6,7,8,9]=>000010000=>5
[1,8,3,4,2,5,6,7]=>0101000=>5
[1,2,9,4,3,5,6,7,8]=>00110000=>5
[1,2,3,10,4,5,6,7,8,9]=>000100000=>6
[1,8,4,3,2,5,6,7]=>0111000=>4
[1,9,3,2,4,5,6,7,8]=>01100000=>6
[1,2,10,3,4,5,6,7,8,9]=>001000000=>7
[8,4,7,6,5,3,2,1]=>1011111=>2
[8,4,7,5,6,3,2,1]=>1010111=>3
[8,5,7,4,6,3,2,1]=>1010111=>3
[8,7,6,3,5,4,2,1]=>1110111=>4
[8,6,7,3,5,4,2,1]=>1010111=>3
[8,5,7,3,6,4,2,1]=>1010111=>3
[8,1,7,4,6,5,3,2]=>1010111=>3
[8,1,7,3,6,5,4,2]=>1010111=>3
[8,2,7,3,6,5,4,1]=>1010111=>3
[8,3,7,2,6,5,4,1]=>1010111=>3
[8,5,7,2,6,4,3,1]=>1010111=>3
[8,6,7,2,5,4,3,1]=>1010111=>3
[8,7,6,2,5,4,3,1]=>1110111=>4
[8,4,7,1,6,5,3,2]=>1010111=>3
[8,3,7,1,6,5,4,2]=>1010111=>3
[8,2,7,1,6,5,4,3]=>1010111=>3
[8,1,7,2,6,5,4,3]=>1010111=>3
[8,7,6,2,5,3,4,1]=>1110101=>6
[8,1,7,6,5,3,4,2]=>1011101=>4
[8,3,7,6,5,2,4,1]=>1011101=>4
[8,4,7,6,5,2,3,1]=>1011101=>4
[8,5,7,6,4,2,3,1]=>1011101=>4
[8,6,7,5,4,1,3,2]=>1011101=>4
[8,5,7,6,4,1,3,2]=>1011101=>4
[8,3,7,6,5,1,4,2]=>1011101=>4
[8,7,6,4,5,1,3,2]=>1110101=>6
[8,7,6,2,5,1,4,3]=>1110101=>6
[8,7,6,1,5,2,4,3]=>1110101=>6
[6,8,1,3,2,5,4,7]=>0101010=>4
[6,8,1,4,2,5,3,7]=>0101010=>4
[7,8,3,6,1,4,2,5]=>0101010=>4
[7,8,2,5,3,6,1,4]=>0101010=>4
[7,8,2,5,1,4,3,6]=>0101010=>4
[7,8,1,4,3,6,2,5]=>0101010=>4
[5,8,1,4,3,7,2,6]=>0101010=>4
[6,8,2,5,1,4,3,7]=>0101010=>4
[6,8,2,5,3,7,1,4]=>0101010=>4
[6,8,2,5,4,7,1,3]=>0101010=>4
[2,5,4,7,6,8,1,3]=>0101010=>4
[2,5,3,7,6,8,1,4]=>0101010=>4
[2,5,1,4,3,7,6,8]=>0101010=>4
[2,6,1,4,3,7,5,8]=>0101010=>4
[2,6,5,8,1,4,3,7]=>0101010=>4
[2,6,1,5,3,7,4,8]=>0101010=>4
[2,6,3,7,4,8,1,5]=>0101010=>4
[2,6,4,7,5,8,1,3]=>0101010=>4
[5,8,3,6,4,7,1,2]=>0101010=>4
[5,8,2,6,4,7,1,3]=>0101010=>4
[4,8,2,6,3,7,1,5]=>0101010=>4
[4,8,1,5,3,7,2,6]=>0101010=>4
[4,8,1,5,2,6,3,7]=>0101010=>4
[4,8,3,7,1,5,2,6]=>0101010=>4
[6,8,3,7,1,4,2,5]=>0101010=>4
[5,8,1,3,2,6,4,7]=>0101010=>4
[5,8,4,7,1,3,2,6]=>0101010=>4
[6,8,4,7,1,3,2,5]=>0101010=>4
[6,8,5,7,1,3,2,4]=>0101010=>4
[5,7,6,8,2,4,1,3]=>0101010=>4
[4,7,6,8,1,3,2,5]=>0101010=>4
[4,7,5,8,1,3,2,6]=>0101010=>4
[4,7,1,3,2,6,5,8]=>0101010=>4
[3,7,1,4,2,6,5,8]=>0101010=>4
[3,7,5,8,1,4,2,6]=>0101010=>4
[3,7,6,8,1,4,2,5]=>0101010=>4
[3,7,6,8,2,5,1,4]=>0101010=>4
[4,7,6,8,2,5,1,3]=>0101010=>4
[4,7,5,8,3,6,1,2]=>0101010=>4
[4,7,5,8,2,6,1,3]=>0101010=>4
[3,7,5,8,2,6,1,4]=>0101010=>4
[3,7,4,8,2,6,1,5]=>0101010=>4
[3,7,4,8,1,5,2,6]=>0101010=>4
[3,7,1,5,2,6,4,8]=>0101010=>4
[3,7,2,6,1,5,4,8]=>0101010=>4
[3,7,2,6,5,8,1,4]=>0101010=>4
[4,7,3,6,5,8,1,2]=>0101010=>4
[3,6,5,8,4,7,1,2]=>0101010=>4
[2,6,5,8,4,7,1,3]=>0101010=>4
[2,6,5,8,3,7,1,4]=>0101010=>4
[2,6,3,7,1,5,4,8]=>0101010=>4
[7,6,4,2,8,5,3,1]=>1110111=>4
[7,6,4,3,8,2,5,1]=>1110101=>6
[7,6,4,8,5,2,3,1]=>1101101=>5
[6,8,4,3,7,2,1,5]=>0110110=>3
[6,7,4,3,5,1,8,2]=>0110101=>3
[6,7,3,5,4,8,2,1]=>0101011=>1
[6,8,3,7,5,2,4,1]=>0101101=>2
[7,6,8,3,5,2,4,1]=>1010101=>4
[7,6,3,5,8,2,4,1]=>1100101=>6
[7,6,3,5,2,4,8,1]=>1101001=>6
[7,6,4,2,5,1,8,3]=>1110101=>6
[7,6,2,8,4,1,5,3]=>1101101=>5
[7,6,3,8,2,4,1,5]=>1101010=>7
[7,6,3,4,8,2,5,1]=>1100101=>6
[6,8,3,7,4,5,2,1]=>0101011=>1
[6,7,3,5,8,4,2,1]=>0100111=>2
[5,7,8,3,6,2,1,4]=>0010110=>2
[5,8,3,6,7,2,1,4]=>0100110=>3
[6,3,4,8,7,2,5,1]=>1001101=>4
[6,3,8,4,7,2,1,5]=>1010110=>5
[6,2,8,4,1,7,5,3]=>1011011=>3
[6,2,7,4,1,5,3,8]=>1011010=>6
[6,3,4,7,5,8,2,1]=>1001011=>4
[6,3,5,7,8,4,2,1]=>1000111=>4
[5,7,3,6,8,2,1,4]=>0100110=>3
[5,6,8,3,7,2,1,4]=>0010110=>2
[5,6,7,3,4,1,8,2]=>0010101=>1
[4,6,7,8,3,5,2,1]=>0001011=>1
[4,6,8,3,5,7,2,1]=>0010011=>1
[4,7,3,5,6,8,2,1]=>0100011=>3
[4,7,3,5,8,2,6,1]=>0100101=>2
[5,3,4,7,8,2,1,6]=>1000110=>5
[5,3,8,2,4,1,6,7]=>1010100=>7
[5,3,4,8,2,6,1,7]=>1001010=>5
[4,8,3,6,2,5,7,1]=>0101001=>3
[4,8,3,5,7,2,6,1]=>0100101=>2
[4,8,3,5,6,7,2,1]=>0100011=>3
[4,7,8,3,5,6,2,1]=>0010011=>1
[4,7,8,3,6,2,5,1]=>0010101=>1
[4,8,3,6,7,2,5,1]=>0100101=>2
[4,8,3,7,2,5,6,1]=>0101001=>3
[5,3,4,8,2,7,6,1]=>1001011=>4
[5,3,8,2,4,1,7,6]=>1010101=>4
[5,2,8,4,1,7,3,6]=>1011010=>6
[6,4,2,5,1,8,7,3]=>1101011=>5
[6,4,3,5,8,2,1,7]=>1100110=>6
[6,3,5,8,7,2,4,1]=>1001101=>4
[5,8,3,7,2,6,4,1]=>0101011=>1
[5,7,3,4,8,2,1,6]=>0100110=>3
[5,8,4,2,3,1,6,7]=>0110100=>4
[5,8,4,2,3,1,7,6]=>0110101=>3
[6,4,5,3,8,2,1,7]=>1010110=>5
[6,4,8,5,3,7,2,1]=>1011011=>3
[6,4,3,8,5,7,2,1]=>1101011=>5
[6,4,2,8,5,3,1,7]=>1101110=>6
[6,4,2,7,3,1,8,5]=>1101101=>5
[6,4,3,7,8,5,2,1]=>1100111=>4
[6,4,5,3,7,1,8,2]=>1010101=>4
[5,7,4,2,3,1,6,8]=>0110100=>4
[5,6,3,7,1,8,2,4]=>0101010=>4
[5,6,3,4,7,1,8,2]=>0100101=>2
[5,6,3,4,8,2,1,7]=>0100110=>3
[6,3,5,7,4,8,2,1]=>1001011=>4
[6,3,5,4,7,8,2,1]=>1010011=>5
[6,4,3,5,7,1,8,2]=>1100101=>6
[6,4,2,5,1,7,3,8]=>1101010=>7
[5,3,7,2,4,1,6,8]=>1010100=>7
[5,3,4,7,2,6,1,8]=>1001010=>5
[4,7,3,6,2,5,8,1]=>0101001=>3
[4,7,3,6,8,2,5,1]=>0100101=>2
[4,6,7,3,5,8,2,1]=>0010011=>1
[4,5,7,8,3,6,2,1]=>0001011=>1
[4,5,8,3,6,7,2,1]=>0010011=>1
[4,5,8,3,7,2,6,1]=>0010101=>1
[5,3,4,6,8,2,1,7]=>1000110=>5
[5,3,6,8,2,1,4,7]=>1001100=>6
[5,3,6,7,1,8,2,4]=>1001010=>5
[5,3,4,6,7,1,8,2]=>1000101=>5
[4,6,3,5,7,8,2,1]=>0100011=>3
[4,5,7,3,6,8,2,1]=>0010011=>1
[4,5,6,8,3,7,2,1]=>0001011=>1
[5,7,4,8,6,3,2,1]=>0101111=>1
[3,2,6,5,1,8,7,4]=>1011011=>3
[3,5,6,7,2,8,4,1]=>0001011=>1
[7,6,9,8,5,4,3,2,1]=>10111111=>2
[6,5,4,9,8,7,3,2,1]=>11011111=>3
[6,8,5,9,7,4,3,2,1]=>01011111=>1
[6,7,8,9,5,4,3,2,1]=>00011111=>1
[5,4,3,2,9,8,7,6,1]=>11101111=>4
[5,8,4,3,9,7,6,2,1]=>01101111=>1
[5,4,7,6,9,8,3,2,1]=>10101111=>3
[5,7,8,4,9,6,3,2,1]=>00101111=>1
[5,6,7,8,9,4,3,2,1]=>00001111=>1
[4,8,3,2,1,9,7,6,5]=>01110111=>2
[4,3,7,6,2,9,8,5,1]=>10110111=>3
[4,7,8,3,2,9,6,5,1]=>00110111=>1
[4,6,3,8,5,9,7,2,1]=>01010111=>1
[4,6,7,8,3,9,5,2,1]=>00010111=>1
[4,5,6,7,8,9,3,2,1]=>00000111=>1
[3,2,1,6,5,4,9,8,7]=>11011011=>5
[3,6,2,8,5,1,9,7,4]=>01011011=>1
[3,6,7,8,2,1,9,5,4]=>00011011=>1
[3,2,5,4,7,6,9,8,1]=>10101011=>4
[3,5,7,2,8,4,9,6,1]=>00101011=>1
[3,5,6,7,8,2,9,4,1]=>00001011=>1
[3,4,5,6,7,8,9,2,1]=>00000011=>1
[2,4,6,7,1,8,3,9,5]=>00010101=>1
[2,4,5,6,7,8,1,9,3]=>00000101=>1
[8,7,10,9,6,5,4,3,2,1]=>101111111=>2
[8,9,10,7,6,5,4,3,2,1]=>001111111=>1
[7,6,5,10,9,8,4,3,2,1]=>110111111=>3
[7,9,6,10,8,5,4,3,2,1]=>010111111=>1
[7,8,9,10,6,5,4,3,2,1]=>000111111=>1
[6,5,4,3,10,9,8,7,2,1]=>111011111=>4
[6,9,5,4,10,8,7,3,2,1]=>011011111=>1
[6,5,8,7,10,9,4,3,2,1]=>101011111=>3
[6,8,9,5,10,7,4,3,2,1]=>001011111=>1
[5,4,3,2,1,10,9,8,7,6]=>111101111=>5
[5,9,4,3,2,10,8,7,6,1]=>011101111=>1
[5,4,8,7,3,10,9,6,2,1]=>101101111=>3
[5,8,9,4,3,10,7,6,2,1]=>001101111=>1
[5,7,4,9,6,10,8,3,2,1]=>010101111=>1
[5,6,7,8,9,10,4,3,2,1]=>000001111=>1
[4,3,8,7,2,1,10,9,6,5]=>101110111=>3
[4,8,9,3,2,1,10,7,6,5]=>001110111=>1
[4,3,2,7,6,5,10,9,8,1]=>110110111=>5
[4,7,3,9,6,2,10,8,5,1]=>010110111=>1
[4,7,8,9,3,2,10,6,5,1]=>000110111=>1
[4,3,6,5,8,7,10,9,2,1]=>101010111=>4
[4,6,7,8,9,3,10,5,2,1]=>000010111=>1
[4,5,6,7,8,9,10,3,2,1]=>000000111=>1
[3,6,2,1,9,5,4,10,8,7]=>011011011=>3
[3,2,6,5,8,7,1,10,9,4]=>101011011=>4
[3,6,8,2,9,5,1,10,7,4]=>001011011=>1
[3,6,7,8,9,2,1,10,5,4]=>000011011=>1
[3,5,7,8,2,9,4,10,6,1]=>000101011=>1
[3,5,6,7,8,9,2,10,4,1]=>000001011=>1
[3,4,5,6,7,8,9,10,2,1]=>000000011=>1
[2,4,6,1,8,3,9,5,10,7]=>001010101=>1
[2,4,6,7,8,1,9,3,10,5]=>000010101=>1
[2,4,5,6,7,8,9,1,10,3]=>000000101=>1
[1,6,2,5,3,4,8,7]=>0101001=>3
[1,3,8,2,4,6,5,7]=>0010010=>3
[1,7,2,3,6,4,8,5]=>0100101=>2
[1,6,8,2,5,3,7,4]=>0010101=>1
[1,8,2,5,3,4,7,6]=>0101001=>3
[1,8,2,3,6,4,7,5]=>0100101=>2
[1,3,5,2,8,4,7,6]=>0010101=>1
[1,2,7,3,5,4,6,8]=>0010100=>3
[1,8,2,7,3,4,6,5]=>0101001=>3
[1,5,8,2,3,7,4,6]=>0010010=>3
[1,6,8,2,3,5,4,7]=>0010010=>3
[5,3,6,1,2,4,8,7]=>1010001=>6
[7,1,5,8,4,2,3,6]=>1001100=>6
[8,1,5,7,4,2,3,6]=>1001100=>6
[7,1,4,5,8,2,3,6]=>1000100=>6
[7,4,1,6,2,8,3,5]=>1101010=>7
[8,4,1,7,2,6,3,5]=>1101010=>7
[8,1,4,7,5,2,3,6]=>1001100=>6
[8,1,5,4,7,2,3,6]=>1010100=>7
[2,1,7,5,8,3,4,6]=>1010100=>7
[7,1,5,4,8,2,3,6]=>1010100=>7
[7,1,4,8,5,2,3,6]=>1001100=>6
[6,4,1,7,2,3,8,5]=>1101001=>6
[7,8,3,1,2,4,6,5]=>0110001=>4
[8,7,1,6,4,2,3,5]=>1101100=>7
[8,6,1,7,4,2,3,5]=>1101100=>7
[7,6,1,8,4,2,3,5]=>1101100=>7
[7,3,8,1,2,4,6,5]=>1010001=>6
[8,3,7,1,2,4,6,5]=>1010001=>6
[8,3,6,1,2,4,7,5]=>1010001=>6
[8,3,7,5,1,2,4,6]=>1011000=>6
[7,3,6,1,2,4,8,5]=>1010001=>6
[6,7,1,8,4,2,3,5]=>0101100=>3
[6,8,1,7,4,2,3,5]=>0101100=>3
[7,1,8,5,4,2,3,6]=>1011100=>5
[7,1,8,4,5,2,3,6]=>1010100=>7
[2,1,7,8,5,3,4,6]=>1001100=>6
[7,6,3,1,2,4,8,5]=>1110001=>6
[6,1,2,3,8,7,5,4]=>1000111=>4
[6,8,1,4,2,3,7,5]=>0101001=>3
[6,8,3,1,2,7,4,5]=>0110010=>4
[6,7,3,1,2,8,4,5]=>0110010=>4
[6,7,1,4,2,3,8,5]=>0101001=>3
[4,3,6,8,5,7,1,2]=>1001010=>5
[6,1,2,5,4,8,3,7]=>1001010=>5
[3,2,8,5,4,1,7,6]=>1011101=>4
[7,8,2,1,4,6,3,5]=>0110010=>4
[7,2,1,5,8,3,4,6]=>1100100=>7
[2,4,8,5,1,3,6,7]=>0011000=>4
[3,5,6,1,8,4,2,7]=>0010110=>2
[1,3,6,8,7,4,2,5]=>0001110=>2
[1,2,8,5,7,3,4,6]=>0010100=>3
[2,6,1,5,8,3,4,7]=>0100100=>5
[5,7,1,6,8,4,3,2]=>0100111=>2
[4,8,1,2,5,7,3,6]=>0100010=>4
[8,4,6,2,5,7,3,1]=>1010011=>5
[8,3,6,4,7,2,5,1]=>1010101=>4
[3,8,1,4,7,2,5,6]=>0100100=>5
[1,7,8,4,6,2,5,3]=>0010101=>1
[3,7,4,8,5,1,6,2]=>0101101=>2
[3,7,1,6,5,4,8,2]=>0101101=>2
[2,7,3,1,5,8,4,6]=>0110010=>4
[2,7,4,6,8,1,3,5]=>0100100=>5
[2,7,5,8,6,4,1,3]=>0101110=>2
[8,2,6,7,5,4,3,1]=>1001111=>3
[3,8,7,1,6,4,5,2]=>0110101=>3
[3,6,8,2,7,4,1,5]=>0010110=>2
[1,5,2,8,7,4,6,3]=>0101101=>2
[3,4,2,7,8,1,6,5]=>0100101=>2
[4,1,3,7,5,6,8,2]=>1001001=>5
[6,3,8,1,7,4,2,5]=>1010110=>5
[6,5,8,7,1,4,2,3]=>1011010=>6
[4,1,7,3,8,5,2,6]=>1010110=>5
[3,6,1,4,5,8,2,7]=>0100010=>4
[1,6,7,4,5,3,8,2]=>0010101=>1
[6,1,7,3,5,4,8,2]=>1010101=>4
[6,3,1,2,5,8,4,7]=>1100010=>7
[1,4,7,2,8,5,3,6]=>0010110=>2
[5,6,8,7,2,4,1,3]=>0011010=>2
[6,8,5,7,1,2,4,3]=>0101001=>3
[2,8,4,1,7,5,6,3]=>0110101=>3
[8,2,4,3,7,5,6,1]=>1010101=>4
[6,8,2,1,5,7,3,4]=>0110010=>4
[7,2,8,4,1,6,3,5]=>1011010=>6
[1,2,4,8,6,5,3,7]=>0001110=>2
[7,1,5,6,8,4,3,2]=>1000111=>4
[2,7,8,1,4,6,3,5]=>0010010=>3
[4,8,2,5,7,1,6,3]=>0100101=>2
[4,1,6,8,5,3,7,2]=>1001101=>4
[5,2,6,4,8,3,1,7]=>1010110=>5
[6,7,1,3,4,5,8,2]=>0100001=>4
[1,7,3,2,4,8,5,6]=>0110010=>4
[1,3,6,5,2,8,4,7]=>0011010=>2
[7,1,6,5,3,4,8,2]=>1011001=>5
[6,3,4,2,8,7,5,1]=>1010111=>3
[4,3,8,7,5,2,6,1]=>1011101=>4
[6,8,7,4,2,3,5,1]=>0111001=>3
[3,6,4,5,2,8,7,1]=>0101011=>1
[8,6,1,3,5,4,2,7]=>1100110=>6
[5,3,8,6,1,2,4,7]=>1011000=>6
[2,5,6,3,4,8,7,1]=>0010011=>1
[2,5,3,6,8,7,4,1]=>0100111=>2
[4,8,7,3,5,2,6,1]=>0110101=>3
[3,8,7,2,6,4,5,1]=>0110101=>3
[6,3,5,4,8,7,2,1]=>1010111=>3
[4,3,8,6,1,5,2,7]=>1011010=>6
[4,7,6,2,5,3,8,1]=>0110101=>3
[7,5,2,6,8,1,4,3]=>1100101=>6
[8,5,2,7,1,4,3,6]=>1101010=>7
[1,8,5,3,6,2,4,7]=>0110100=>4
[5,1,7,2,4,3,8,6]=>1010101=>4
[1,5,3,4,8,6,2,7]=>0100110=>3
[5,4,1,3,8,6,2,7]=>1100110=>6
[5,1,8,6,3,4,2,7]=>1011010=>6
[4,5,2,8,3,7,6,1]=>0101011=>1
[8,2,3,7,6,4,5,1]=>1001101=>4
[5,8,2,4,7,6,3,1]=>0100111=>2
[6,8,2,5,3,4,7,1]=>0101001=>3
[7,2,5,6,4,8,1,3]=>1001010=>5
[1,6,7,4,8,2,3,5]=>0010100=>3
[7,1,3,5,8,2,6,4]=>1000101=>5
[8,2,1,3,5,6,7,4]=>1100001=>6
[6,3,1,4,7,5,8,2]=>1100101=>6
[4,1,3,8,2,6,7,5]=>1001001=>5
[2,8,3,6,7,5,4,1]=>0100111=>2
[3,1,7,2,8,5,4,6]=>1010110=>5
[3,6,1,4,7,2,8,5]=>0100101=>2
[1,5,8,4,7,2,3,6]=>0010100=>3
[7,1,3,6,2,8,4,5]=>1001010=>5
[6,2,7,4,5,8,1,3]=>1010010=>6
[2,1,8,4,5,7,3,6]=>1010010=>6
[1,8,5,7,3,2,4,6]=>0101100=>3
[2,1,8,5,4,3,6,7]=>1011100=>5
[2,7,4,1,5,3,8,6]=>0110101=>3
[7,4,8,6,2,3,1,5]=>1011010=>6
[2,7,1,4,6,3,8,5]=>0100101=>2
[4,7,5,6,8,1,3,2]=>0100101=>2
[7,1,3,2,8,5,4,6]=>1010110=>5
[2,8,5,4,1,3,6,7]=>0111000=>4
[5,1,7,4,2,3,8,6]=>1011001=>5
[3,8,6,5,1,4,2,7]=>0111010=>3
[1,3,4,8,6,5,2,7]=>0001110=>2
[4,1,8,6,5,3,2,7]=>1011110=>4
[4,8,5,2,7,3,6,1]=>0110101=>3
[7,2,8,5,3,6,4,1]=>1011011=>3
[5,2,8,4,3,7,6,1]=>1011011=>3
[8,4,7,5,2,3,6,1]=>1011001=>5
[7,5,2,8,4,6,1,3]=>1101010=>7
[5,7,4,3,6,2,8,1]=>0110101=>3
[6,7,5,1,2,8,3,4]=>0110010=>4
[5,2,6,8,3,4,7,1]=>1001001=>5
[7,6,2,4,5,8,3,1]=>1100011=>5
[3,6,8,4,7,2,5,1]=>0010101=>1
[7,6,3,8,4,2,5,1]=>1101101=>5
[2,6,3,8,4,7,5,1]=>0101011=>1
[7,2,3,6,5,8,4,1]=>1001011=>4
[6,2,7,5,8,3,1,4]=>1010110=>5
[2,8,3,6,4,5,7,1]=>0101001=>3
[2,1,5,6,8,3,7,4]=>1000101=>5
[5,8,1,2,6,4,7,3]=>0100101=>2
[1,6,8,3,2,7,4,5]=>0011010=>2
[6,5,7,2,8,4,1,3]=>1010110=>5
[7,5,1,2,8,4,6,3]=>1100101=>6
[5,4,8,3,6,2,7,1]=>1010101=>4
[5,8,2,7,4,3,6,1]=>0101101=>2
[6,4,5,8,2,7,3,1]=>1001011=>4
[5,7,3,6,4,8,2,1]=>0101011=>1
[1,5,6,4,8,2,7,3]=>0010101=>1
[3,1,5,6,4,8,7,2]=>1001011=>4
[1,3,6,2,5,7,8,4]=>0010001=>2
[1,4,6,3,5,7,8,2]=>0010001=>2
[3,5,1,6,4,7,8,2]=>0101001=>3
[3,6,1,4,2,7,8,5]=>0101001=>3
[2,4,6,3,1,7,8,5]=>0011001=>2
[1,3,6,5,2,7,8,4]=>0011001=>2
[1,2,6,4,3,8,5,7]=>0011010=>2
[1,2,6,3,5,8,7,4]=>0010011=>1
[2,3,5,1,8,4,7,6]=>0010101=>1
[2,3,6,1,8,5,4,7]=>0010110=>2
[1,2,7,4,6,8,3,5]=>0010010=>3
[2,3,7,5,1,8,4,6]=>0011010=>2
[4,7,2,5,3,8,6,1]=>0101011=>1
[3,1,7,5,4,8,6,2]=>1011011=>3
[1,2,7,6,4,8,5,3]=>0011011=>1
[1,2,7,3,6,8,5,4]=>0010011=>1
[2,3,6,1,8,5,7,4]=>0010101=>1
[3,1,5,4,8,7,6,2]=>1010111=>3
[1,2,5,8,4,7,3,6]=>0001010=>2
[1,2,6,8,5,4,7,3]=>0001101=>1
[1,3,6,8,5,2,7,4]=>0001101=>1
[3,5,7,4,8,2,1,6]=>0010110=>2
[2,4,7,6,8,3,1,5]=>0010110=>2
[1,4,6,8,3,5,2,7]=>0001010=>2
[1,3,6,8,5,2,4,7]=>0001100=>3
[1,2,6,8,5,4,3,7]=>0001110=>2
[1,2,5,8,4,3,7,6]=>0001101=>1
[1,3,5,8,2,4,7,6]=>0001001=>1
[1,3,6,8,2,5,4,7]=>0001010=>2
[1,4,6,8,3,2,5,7]=>0001100=>3
[3,5,7,4,8,1,2,6]=>0010100=>3
[4,6,1,7,5,8,2,3]=>0101010=>4
[2,3,6,7,5,8,1,4]=>0001010=>2
[1,3,7,5,6,8,2,4]=>0010010=>3
[2,3,6,5,8,1,7,4]=>0010101=>1
[3,4,6,2,8,1,7,5]=>0010101=>1
[3,5,4,6,8,2,1,7]=>0100110=>3
[3,5,4,6,8,1,2,7]=>0100100=>5
[1,2,4,7,5,8,3,6]=>0001010=>2
[1,2,6,7,4,8,3,5]=>0001010=>2
[3,6,4,7,1,8,5,2]=>0101011=>1
[1,2,6,7,3,8,5,4]=>0001011=>1
[1,2,5,7,3,8,6,4]=>0001011=>1
[3,1,5,7,6,8,4,2]=>1001011=>4
[3,5,4,6,8,2,7,1]=>0100101=>2
[4,2,6,1,8,7,5,3]=>1010111=>3
[3,1,6,5,8,7,4,2]=>1010111=>3
[2,3,6,5,8,7,1,4]=>0010110=>2
[1,2,7,4,6,8,5,3]=>0010011=>1
[1,2,7,5,6,8,4,3]=>0010011=>1
[3,1,6,7,5,8,4,2]=>1001011=>4
[4,6,2,7,5,8,3,1]=>0101011=>1
[3,5,7,4,8,2,6,1]=>0010101=>1
[2,4,7,6,8,3,5,1]=>0010101=>1
[1,4,6,8,3,5,7,2]=>0001001=>1
[1,3,6,8,2,5,7,4]=>0001001=>1
[1,3,5,8,2,7,4,6]=>0001010=>2
[1,2,5,8,4,7,6,3]=>0001011=>1
[1,2,4,8,7,3,6,5]=>0001101=>1
[1,2,5,8,7,4,3,6]=>0001110=>2
[1,3,5,8,7,2,4,6]=>0001100=>3
[2,3,7,6,8,5,1,4]=>0010110=>2
[5,7,1,2,8,6,4,3]=>0100111=>2
[3,1,7,6,8,5,4,2]=>1010111=>3
[1,2,6,8,5,7,4,3]=>0001011=>1
[1,2,5,8,7,4,6,3]=>0001101=>1
[1,2,4,8,7,6,3,5]=>0001110=>2
[6,4,5,7,2,8,1,3]=>1001010=>5
[5,3,4,7,2,8,1,6]=>1001010=>5
[3,2,7,4,6,8,1,5]=>1010010=>6
[5,3,6,2,7,1,4,8]=>1010100=>7
[2,6,3,4,7,1,5,8]=>0100100=>5
[2,7,3,4,5,8,1,6]=>0100010=>4
[3,7,4,5,6,8,1,2]=>0100010=>4
[2,5,7,3,6,8,1,4]=>0010010=>3
[4,7,6,2,3,8,1,5]=>0110010=>4
[7,3,5,2,4,8,1,6]=>1010010=>6
[7,6,2,4,5,8,1,3]=>1100010=>7
[6,5,2,3,4,8,1,7]=>1100010=>7
[5,3,1,2,8,4,7,6]=>1100101=>6
[6,5,2,3,7,1,4,8]=>1100100=>7
[5,2,1,7,3,4,6,8]=>1101000=>7
[5,2,1,8,3,4,6,7]=>1101000=>7
[6,3,2,8,4,5,7,1]=>1101001=>6
[7,3,1,2,8,4,6,5]=>1100101=>6
[6,4,1,3,8,5,7,2]=>1100101=>6
[6,2,3,1,8,4,7,5]=>1010101=>4
[8,3,5,2,7,1,4,6]=>1010100=>7
[8,6,2,4,7,1,5,3]=>1100101=>6
[8,5,2,3,6,1,4,7]=>1100100=>7
[8,2,1,7,3,4,5,6]=>1101000=>7
[8,6,3,7,2,4,5,1]=>1101001=>6
[7,1,6,2,3,4,5,8]=>1010000=>7
[8,2,7,3,4,5,6,1]=>1010001=>6
[8,1,6,2,3,4,5,7]=>1010000=>7
[8,1,7,3,4,5,6,2]=>1010001=>6
[8,6,1,7,2,4,5,3]=>1101001=>6
[8,1,5,7,2,3,6,4]=>1001001=>5
[1,7,5,8,2,3,6,4]=>0101001=>3
[7,2,1,8,3,4,5,6]=>1101000=>7
[7,3,8,2,4,5,6,1]=>1010001=>6
[7,2,8,3,4,5,6,1]=>1010001=>6
[1,7,8,3,4,5,6,2]=>0010001=>2
[1,4,5,8,3,6,7,2]=>0001001=>1
[2,5,7,1,8,3,6,4]=>0010101=>1
[6,2,7,1,8,4,5,3]=>1010101=>4
[4,7,1,3,8,5,6,2]=>0100101=>2
[1,6,2,8,4,5,7,3]=>0101001=>3
[4,1,3,6,8,2,7,5]=>1000101=>5
[5,3,4,6,8,2,7,1]=>1000101=>5
[4,6,3,8,7,1,2,5]=>0101100=>3
[6,4,5,8,7,1,2,3]=>1001100=>6
[5,3,4,8,7,1,2,6]=>1001100=>6
[3,2,8,7,1,4,6,5]=>1011001=>5
[3,1,8,7,2,4,6,5]=>1011001=>5
[5,3,7,6,1,2,4,8]=>1011000=>6
[1,8,3,7,2,4,5,6]=>0101000=>5
[3,8,1,7,2,4,5,6]=>0101000=>5
[6,8,2,3,5,1,4,7]=>0100100=>5
[4,7,8,2,6,1,3,5]=>0010100=>3
[6,2,8,7,1,4,5,3]=>1011001=>5
[3,8,7,1,4,5,6,2]=>0110001=>4
[2,8,6,1,3,4,5,7]=>0110000=>5
[2,7,6,1,3,4,5,8]=>0110000=>5
[1,7,6,2,3,4,5,8]=>0110000=>5
[1,8,6,2,3,4,5,7]=>0110000=>5
[2,8,7,3,4,5,6,1]=>0110001=>4
[3,8,7,2,4,5,6,1]=>0110001=>4
[7,8,3,6,2,4,5,1]=>0101001=>3
[1,5,8,7,2,3,6,4]=>0011001=>2
[8,7,6,1,3,4,5,2]=>1110001=>6
[3,6,2,4,7,1,8,5]=>0100101=>2
[3,4,7,2,5,1,8,6]=>0010101=>1
[2,1,6,4,8,5,3,7]=>1010110=>5
[4,1,8,5,3,2,7,6]=>1011101=>4
[3,6,2,5,7,1,4,8]=>0100100=>5
[1,2,8,3,7,5,4,6]=>0010110=>2
[6,1,3,2,8,5,4,7]=>1010110=>5
[5,6,1,2,8,4,3,7]=>0100110=>3
[1,6,3,8,7,4,2,5]=>0101110=>2
[4,3,8,1,2,6,7,5]=>1010001=>6
[7,8,10,9,5,6,3,4,1,2]=>001101010=>2
[9,10,5,6,8,7,3,4,1,2]=>010011010=>4
[5,8,10,6,9,7,3,4,1,2]=>001011010=>2
[5,6,7,10,9,8,3,4,1,2]=>000111010=>2
[9,10,7,8,3,4,6,5,1,2]=>010100110=>4
[7,8,10,9,3,4,6,5,1,2]=>001100110=>3
[9,10,3,6,8,4,7,5,1,2]=>010010110=>3
[3,8,10,6,9,4,7,5,1,2]=>001010110=>2
[3,6,7,10,9,4,8,5,1,2]=>000110110=>2
[9,10,3,4,5,8,7,6,1,2]=>010001110=>4
[3,8,10,4,5,9,7,6,1,2]=>001001110=>2
[3,4,7,10,5,9,8,6,1,2]=>000101110=>2
[3,4,5,6,10,9,8,7,1,2]=>000011110=>2
[9,10,7,8,5,6,1,2,4,3]=>010101001=>4
[7,8,10,9,5,6,1,2,4,3]=>001101001=>2
[9,10,5,6,8,7,1,2,4,3]=>010011001=>3
[5,8,10,6,9,7,1,2,4,3]=>001011001=>2
[5,6,7,10,9,8,1,2,4,3]=>000111001=>1
[9,10,7,8,1,4,6,2,5,3]=>010100101=>3
[7,8,10,9,1,4,6,2,5,3]=>001100101=>2
[9,10,1,6,8,4,7,2,5,3]=>010010101=>2
[1,8,10,6,9,4,7,2,5,3]=>001010101=>1
[1,6,7,10,9,4,8,2,5,3]=>000110101=>1
[9,10,1,4,5,8,7,2,6,3]=>010001101=>3
[1,8,10,4,5,9,7,2,6,3]=>001001101=>1
[1,4,7,10,5,9,8,2,6,3]=>000101101=>1
[1,4,5,6,10,9,8,2,7,3]=>000011101=>1
[9,10,7,8,1,2,3,6,5,4]=>010100011=>4
[7,8,10,9,1,2,3,6,5,4]=>001100011=>2
[9,10,1,6,8,2,3,7,5,4]=>010010011=>3
[1,8,10,6,9,2,3,7,5,4]=>001010011=>1
[1,6,7,10,9,2,3,8,5,4]=>000110011=>1
[9,10,1,2,5,8,3,7,6,4]=>010001011=>3
[1,8,10,2,5,9,3,7,6,4]=>001001011=>1
[1,2,7,10,5,9,3,8,6,4]=>000101011=>1
[1,2,5,6,10,9,3,8,7,4]=>000011011=>1
[9,10,1,2,3,4,8,7,6,5]=>010000111=>4
[1,8,10,2,3,4,9,7,6,5]=>001000111=>2
[1,2,7,10,3,4,9,8,6,5]=>000100111=>1
[1,2,3,6,10,4,9,8,7,5]=>000010111=>1
[1,2,3,4,5,10,9,8,7,6]=>000001111=>1
[3,1,2,4,5,6,7,8,9]=>10000000=>8
[2,4,1,3,5,6,7,8,9]=>01000000=>7
[2,3,5,1,4,6,7,8,9]=>00100000=>6
[2,3,4,6,1,5,7,8,9]=>00010000=>5
[2,3,4,5,7,1,6,8,9]=>00001000=>4
[2,3,4,5,6,8,1,7,9]=>00000100=>3
[3,6,8,7,1,2,5,4]=>0011001=>2
[6,2,8,5,4,7,1,3]=>1011010=>6
[6,5,7,2,4,8,1,3]=>1010010=>6
[3,4,1,6,5,8,7,2]=>0101011=>1
[3,5,1,2,4,8,7,6]=>0100011=>3
[3,7,5,2,1,4,6,8]=>0111000=>4
[3,8,5,2,7,4,1,6]=>0110110=>3
[5,2,8,4,7,3,1,6]=>1010110=>5
[5,2,7,4,1,3,6,8]=>1011000=>6
[4,3,5,1,2,8,7,6]=>1010011=>5
[3,1,4,6,2,8,7,5]=>1001011=>4
[1,4,6,5,2,8,7,3]=>0011011=>1
[3,4,5,6,1,8,7,2]=>0001011=>1
[3,4,5,8,7,2,1,6]=>0001110=>2
[1,4,7,2,6,3,5,8]=>0010100=>3
[8,4,7,5,2,1,6,3]=>1011101=>4
[8,1,4,7,2,3,6,5]=>1001001=>5
[1,8,5,7,3,4,6,2]=>0101001=>3
[6,3,5,1,7,4,2,8]=>1010110=>5
[6,1,4,8,7,3,2,5]=>1001110=>4
[6,4,8,5,7,1,2,3]=>1010100=>7
[5,4,8,1,6,3,2,7]=>1010110=>5
[1,4,8,6,3,7,2,5]=>0011010=>2
[5,4,7,6,3,8,1,2]=>1011010=>6
[4,6,3,7,5,8,1,2]=>0101010=>4
[4,1,3,5,8,6,2,7]=>1000110=>5
[5,7,4,3,8,1,2,6]=>0110100=>4
[1,4,8,3,7,6,5,2]=>0010111=>1
[4,3,8,2,1,6,5,7]=>1011010=>6
[3,8,4,2,7,1,5,6]=>0110100=>4
[3,1,2,5,7,6,4,8]=>1000110=>5
[1,8,2,7,6,5,4,3]=>0101111=>1
[3,8,1,6,7,5,4,2]=>0100111=>2
[3,7,2,6,8,5,1,4]=>0100110=>3
[7,2,3,8,5,6,1,4]=>1001010=>5
[8,2,1,7,5,6,4,3]=>1101011=>5
[8,1,3,6,5,7,4,2]=>1001011=>4
[8,2,4,3,6,1,5,7]=>1010100=>7
[1,7,8,5,4,3,6,2]=>0011101=>1
[1,8,4,5,3,2,6,7]=>0101100=>3
[7,8,5,4,3,1,6,2]=>0111101=>2
[7,1,6,3,4,2,5,8]=>1010100=>7
[6,8,7,1,4,2,5,3]=>0110101=>3
[3,6,1,4,2,7,5,8]=>0101010=>4
[3,4,1,8,5,7,6,2]=>0101011=>1
[3,6,5,1,2,8,4,7]=>0110010=>4
[3,8,5,6,7,2,1,4]=>0100110=>3
[8,1,7,6,2,4,3,5]=>1011010=>6
[8,5,6,1,4,2,3,7]=>1010100=>7
[8,6,5,4,7,1,3,2]=>1110101=>6
[1,6,4,5,7,2,3,8]=>0100100=>5
[8,3,6,1,7,2,4,5]=>1010100=>7
[1,8,6,5,7,3,4,2]=>0110101=>3
[1,7,5,3,6,8,4,2]=>0110011=>2
[7,4,1,6,5,8,3,2]=>1101011=>5
[4,1,5,8,7,6,3,2]=>1001111=>3
[1,2,5,8,6,7,3,4]=>0001010=>2
[4,2,1,5,8,7,3,6]=>1100110=>6
[5,2,4,6,1,7,3,8]=>1001010=>5
[1,5,3,6,8,7,4,2]=>0100111=>2
[3,5,4,6,1,8,2,7]=>0101010=>4
[3,1,5,7,6,8,2,4]=>1001010=>5
[1,4,5,6,8,7,2,3]=>0000110=>2
[1,4,6,3,7,2,8,5]=>0010101=>1
[1,7,3,6,5,2,8,4]=>0101101=>2
[8,6,2,5,4,1,7,3]=>1101101=>5
[3,7,2,6,5,4,1,8]=>0101110=>2
[7,6,2,5,4,3,1,8]=>1101110=>6
[4,7,5,2,6,3,1,8]=>0110110=>3
[3,2,6,4,7,5,1,8]=>1010110=>5
[6,2,3,7,5,4,1,8]=>1001110=>4
[1,3,4,7,6,2,8,5]=>0001101=>1
[2,8,3,6,1,7,5,4]=>0101011=>1
[8,7,2,5,1,6,4,3]=>1101011=>5
[3,8,2,6,5,1,7,4]=>0101101=>2
[7,8,2,5,4,1,6,3]=>0101101=>2
[4,8,5,2,6,1,7,3]=>0110101=>3
[4,5,1,3,7,2,8,6]=>0100101=>2
[6,1,3,7,5,2,8,4]=>1001101=>4
[7,1,3,6,2,8,5,4]=>1001011=>4
[8,1,3,6,2,7,5,4]=>1001011=>4
[1,2,4,7,3,8,6,5]=>0001011=>1
[7,1,8,2,6,5,4,3]=>1010111=>3
[3,1,8,6,2,7,5,4]=>1011011=>3
[4,1,7,8,2,6,5,3]=>1001011=>4
[5,6,1,8,2,7,4,3]=>0101011=>1
[4,2,7,8,1,6,5,3]=>1001011=>4
[3,2,8,6,1,7,5,4]=>1011011=>3
[7,2,8,1,6,5,4,3]=>1010111=>3
[1,8,7,2,6,5,4,3]=>0110111=>1
[2,8,7,1,6,5,4,3]=>0110111=>1
[3,8,7,1,6,5,4,2]=>0110111=>1
[4,8,7,5,1,6,3,2]=>0111011=>2
[6,7,8,5,1,4,3,2]=>0011011=>1
[5,6,3,8,4,1,7,2]=>0101101=>2
[7,3,8,5,4,1,6,2]=>1011101=>4
[3,4,8,6,5,1,7,2]=>0011101=>1
[8,3,7,5,1,6,4,2]=>1011011=>3
[1,4,8,6,2,7,5,3]=>0011011=>1
[8,4,6,7,1,5,3,2]=>1001011=>4
[5,6,4,7,8,1,3,2]=>0100101=>2
[3,4,6,5,1,2,8,7]=>0011001=>2
[7,3,5,1,2,8,6,4]=>1010011=>5
[1,4,6,2,3,8,7,5]=>0010011=>1
[1,3,2,7,4,8,6,5]=>0101011=>1
[7,2,1,6,3,8,5,4]=>1101011=>5
[2,3,1,7,6,4,8,5]=>0101101=>2
[4,5,2,1,7,3,8,6]=>0110101=>3
[5,6,7,1,2,8,4,3]=>0010011=>1
[4,7,5,1,2,8,6,3]=>0110011=>2
[3,7,1,6,2,8,5,4]=>0101011=>1
[7,6,1,2,8,5,4,3]=>1100111=>4
[2,7,1,3,8,6,5,4]=>0100111=>2
[8,6,1,2,7,5,4,3]=>1100111=>4
[1,7,2,3,8,6,5,4]=>0100111=>2
[8,7,1,2,6,5,4,3]=>1100111=>4
[7,8,1,2,6,5,4,3]=>0100111=>2
[3,8,1,6,2,7,5,4]=>0101011=>1
[4,8,5,1,2,7,6,3]=>0110011=>2
[5,6,8,1,2,7,4,3]=>0010011=>1
[2,1,3,7,4,8,6,5]=>1001011=>4
[4,2,7,3,6,8,1,5]=>1010010=>6
[5,3,6,4,2,8,1,7]=>1011010=>6
[4,1,5,3,8,2,7,6]=>1010101=>4
[5,2,6,4,7,3,1,8]=>1010110=>5
[2,6,3,4,7,5,1,8]=>0100110=>3
[2,6,3,5,4,8,1,7]=>0101010=>4
[2,7,4,3,5,8,1,6]=>0110010=>4
[7,3,6,4,2,8,1,5]=>1011010=>6
[7,6,4,5,2,8,1,3]=>1101010=>7
[5,4,3,1,8,2,7,6]=>1110101=>6
[6,5,4,2,7,3,1,8]=>1110110=>7
[5,4,1,7,2,6,3,8]=>1101010=>7
[5,4,1,8,3,2,6,7]=>1101100=>7
[6,5,2,8,3,4,7,1]=>1101001=>6
[7,4,2,1,8,3,6,5]=>1110101=>6
[6,5,3,4,8,2,7,1]=>1100101=>6
[6,1,5,3,8,2,7,4]=>1010101=>4
[4,6,3,1,8,2,7,5]=>0110101=>3
[5,8,4,2,7,3,1,6]=>0110110=>3
[8,2,6,4,7,3,1,5]=>1010110=>5
[8,6,2,5,7,4,1,3]=>1100110=>6
[8,5,3,2,6,4,1,7]=>1110110=>7
[8,3,1,7,2,5,4,6]=>1101010=>7
[7,5,2,6,4,3,1,8]=>1101110=>6
[7,1,6,2,5,4,3,8]=>1010110=>5
[8,1,7,3,5,6,4,2]=>1010011=>5
[8,6,1,7,4,5,2,3]=>1101010=>7
[8,1,3,7,2,6,5,4]=>1001011=>4
[1,7,6,8,3,2,4,5]=>0101100=>3
[7,1,5,8,4,2,6,3]=>1001101=>4
[7,3,8,4,5,2,6,1]=>1010101=>4
[7,2,8,5,3,4,6,1]=>1011001=>5
[6,1,8,4,3,2,5,7]=>1011100=>5
[6,1,7,4,2,5,3,8]=>1011010=>6
[1,2,7,3,4,6,5,8]=>0010010=>3
[1,7,8,4,3,5,6,2]=>0011001=>2
[1,6,2,8,3,5,7,4]=>0101001=>3
[2,6,1,7,3,5,4,8]=>0101010=>4
[3,1,5,8,4,2,6,7]=>1001100=>6
[4,3,1,6,8,2,7,5]=>1100101=>6
[5,7,4,8,3,2,1,6]=>0101110=>2
[5,4,8,2,7,3,1,6]=>1010110=>5
[5,2,8,7,3,4,1,6]=>1011010=>6
[6,4,7,5,3,2,1,8]=>1011110=>4
[1,8,3,7,6,2,4,5]=>0101100=>3
[5,8,3,2,6,4,1,7]=>0110110=>3
[6,8,2,4,7,5,1,3]=>0100110=>3
[7,3,8,2,6,4,1,5]=>1010110=>5
[4,6,8,2,7,3,1,5]=>0010110=>2
[2,6,8,7,3,4,1,5]=>0011010=>2
[7,2,8,6,3,5,1,4]=>1011010=>6
[6,8,1,7,2,5,4,3]=>0101011=>1
[3,8,7,4,5,6,1,2]=>0110010=>4
[2,8,6,4,3,5,1,7]=>0111010=>3
[2,7,6,3,5,4,1,8]=>0110110=>3
[1,7,6,5,2,4,3,8]=>0111010=>3
[1,8,6,5,3,2,4,7]=>0111100=>3
[3,8,7,4,6,2,5,1]=>0110101=>3
[5,8,3,7,6,2,4,1]=>0101101=>2
[7,1,8,6,5,2,3,4]=>1011100=>5
[8,4,7,5,3,2,1,6]=>1011110=>4
[8,7,2,5,4,3,1,6]=>1101110=>6
[6,8,3,2,5,4,7,1]=>0110101=>3
[6,8,4,5,2,3,7,1]=>0101001=>3
[1,5,7,8,4,3,6,2]=>0001101=>1
[6,3,8,1,5,4,7,2]=>1010101=>4
[6,2,1,8,5,4,7,3]=>1101101=>5
[2,6,3,1,7,5,4,8]=>0110110=>3
[2,6,5,7,4,1,3,8]=>0101100=>3
[2,5,6,8,4,3,7,1]=>0001101=>1
[2,4,7,5,8,1,6,3]=>0010101=>1
[2,5,4,7,1,8,6,3]=>0101011=>1
[5,2,1,8,7,6,4,3]=>1101111=>3
[4,8,5,7,6,1,3,2]=>0101101=>2
[4,8,6,7,5,3,1,2]=>0101110=>2
[4,8,7,5,6,2,3,1]=>0110101=>3
[6,5,4,8,2,1,7,3]=>1101101=>5
[5,8,4,7,2,6,3,1]=>0101011=>1
[1,5,7,4,8,2,6,3]=>0010101=>1
[1,5,7,3,2,8,6,4]=>0011011=>1
[5,8,3,2,7,6,4,1]=>0110111=>1
[5,2,1,4,3,6,7,8]=>1101000=>7
[3,5,7,4,2,6,1,8]=>0011010=>2
[3,6,4,5,1,2,7,8]=>0101000=>5
[4,2,1,6,5,3,7,8]=>1101100=>7
[4,2,1,5,7,6,3,8]=>1100110=>6
[4,3,5,1,7,6,2,8]=>1010110=>5
[3,5,4,7,1,6,2,8]=>0101010=>4
[3,4,7,5,6,1,2,8]=>0010100=>3
[3,4,5,8,6,7,1,2]=>0001010=>2
[3,5,4,6,1,8,7,2]=>0101011=>1
[4,3,5,1,6,8,7,2]=>1010011=>5
[4,2,1,5,6,8,7,3]=>1100011=>5
[4,3,2,1,7,6,5,9,8,10]=>111011010=>9
[7,3,2,1,6,5,4,9,8,10]=>111011010=>9
[4,3,2,1,9,6,5,8,7,10]=>111011010=>9
[6,3,2,1,9,5,4,8,7,10]=>111011010=>9
[9,3,2,1,8,5,4,7,6,10]=>111011010=>9
[6,5,2,1,9,4,3,8,7,10]=>111011010=>9
[9,5,2,1,8,4,3,7,6,10]=>111011010=>9
[4,3,2,1,7,6,5,10,8,9]=>111011010=>9
[7,3,2,1,6,5,4,10,8,9]=>111011010=>9
[4,3,2,1,8,6,5,10,7,9]=>111011010=>9
[6,3,2,1,8,5,4,10,7,9]=>111011010=>9
[8,3,2,1,7,5,4,10,6,9]=>111011010=>9
[6,5,2,1,8,4,3,10,7,9]=>111011010=>9
[8,5,2,1,7,4,3,10,6,9]=>111011010=>9
[4,3,2,1,10,6,5,9,7,8]=>111011010=>9
[6,3,2,1,10,5,4,9,7,8]=>111011010=>9
[7,3,2,1,10,5,4,9,6,8]=>111011010=>9
[10,3,2,1,9,5,4,8,6,7]=>111011010=>9
[6,5,2,1,10,4,3,9,7,8]=>111011010=>9
[7,5,2,1,10,4,3,9,6,8]=>111011010=>9
[10,5,2,1,9,4,3,8,6,7]=>111011010=>9
[4,3,2,1,8,7,5,10,6,9]=>111011010=>9
[5,3,2,1,8,7,4,10,6,9]=>111011010=>9
[8,3,2,1,7,6,4,10,5,9]=>111011010=>9
[5,4,2,1,8,7,3,10,6,9]=>111011010=>9
[8,4,2,1,7,6,3,10,5,9]=>111011010=>9
[4,3,2,1,10,7,5,9,6,8]=>111011010=>9
[5,3,2,1,10,7,4,9,6,8]=>111011010=>9
[7,3,2,1,10,6,4,9,5,8]=>111011010=>9
[10,3,2,1,9,6,4,8,5,7]=>111011010=>9
[5,4,2,1,10,7,3,9,6,8]=>111011010=>9
[7,4,2,1,10,6,3,9,5,8]=>111011010=>9
[10,4,2,1,9,6,3,8,5,7]=>111011010=>9
[7,6,2,1,10,5,3,9,4,8]=>111011010=>9
[10,6,2,1,9,5,3,8,4,7]=>111011010=>9
[5,4,3,1,8,7,2,10,6,9]=>111011010=>9
[8,4,3,1,7,6,2,10,5,9]=>111011010=>9
[5,4,3,1,10,7,2,9,6,8]=>111011010=>9
[7,4,3,1,10,6,2,9,5,8]=>111011010=>9
[10,4,3,1,9,6,2,8,5,7]=>111011010=>9
[7,6,3,1,10,5,2,9,4,8]=>111011010=>9
[10,6,3,1,9,5,2,8,4,7]=>111011010=>9
[2,1,4,3,6,5,10,9,7,8]=>101010110=>6
[2,1,4,3,8,7,5,6,10,9]=>101011001=>6
[2,1,4,3,10,7,5,9,6,8]=>101011010=>7
[2,1,4,3,10,9,8,5,6,7]=>101011100=>6
[2,1,6,5,3,4,8,7,10,9]=>101100101=>6
[2,1,6,5,3,4,10,9,7,8]=>101100110=>7
[2,1,8,5,3,7,4,6,10,9]=>101101001=>7
[2,1,10,5,3,7,4,9,6,8]=>101101010=>8
[2,1,10,5,3,9,8,4,6,7]=>101101100=>7
[2,1,8,7,6,3,4,5,10,9]=>101110001=>6
[2,1,10,7,6,3,4,9,5,8]=>101110010=>7
[2,1,10,9,6,3,8,4,5,7]=>101110100=>7
[2,1,10,9,8,7,3,4,5,6]=>101111000=>6
[4,3,1,2,6,5,8,7,10,9]=>110010101=>8
[4,3,1,2,6,5,10,9,7,8]=>110010110=>8
[4,3,1,2,8,7,5,6,10,9]=>110011001=>7
[4,3,1,2,10,7,5,9,6,8]=>110011010=>8
[4,3,1,2,10,9,8,5,6,7]=>110011100=>8
[6,3,1,5,2,4,8,7,10,9]=>110100101=>8
[6,3,1,5,2,4,10,9,7,8]=>110100110=>8
[8,3,1,5,2,7,4,6,10,9]=>110101001=>8
[10,3,1,5,2,7,4,9,6,8]=>110101010=>9
[10,3,1,5,2,9,8,4,6,7]=>110101100=>9
[8,3,1,7,6,2,4,5,10,9]=>110110001=>8
[10,3,1,7,6,2,4,9,5,8]=>110110010=>9
[10,3,1,9,6,2,8,4,5,7]=>110110100=>9
[10,3,1,9,8,7,2,4,5,6]=>110111000=>8
[6,5,4,1,2,3,8,7,10,9]=>111000101=>8
[6,5,4,1,2,3,10,9,7,8]=>111000110=>9
[8,5,4,1,2,7,3,6,10,9]=>111001001=>8
[10,5,4,1,2,7,3,9,6,8]=>111001010=>9
[10,5,4,1,2,9,8,3,6,7]=>111001100=>9
[8,7,4,1,6,2,3,5,10,9]=>111010001=>8
[10,7,4,1,6,2,3,9,5,8]=>111010010=>9
[10,9,4,1,6,2,8,3,5,7]=>111010100=>9
[10,9,4,1,8,7,2,3,5,6]=>111011000=>9
[8,7,6,5,1,2,3,4,10,9]=>111100001=>8
[10,7,6,5,1,2,3,9,4,8]=>111100010=>9
[10,9,6,5,1,2,8,3,4,7]=>111100100=>9
[10,9,8,5,1,7,2,3,4,6]=>111101000=>9
[7,6,5,4,3,2,9,1,8]=>11111010=>8
[6,5,4,3,9,2,8,1,7]=>11101010=>8
[6,5,4,3,2,8,1,7,9]=>11110100=>8
[5,4,9,3,8,2,7,1,6]=>10101010=>8
[5,4,3,8,2,7,1,6,9]=>11010100=>8
[5,4,3,2,7,9,1,6,8]=>11100100=>8
[5,4,3,2,7,1,6,8,9]=>11101000=>8
[4,8,3,7,2,6,1,5,9]=>01010100=>5
[4,3,7,2,6,9,1,5,8]=>10100100=>8
[4,3,7,2,6,1,5,8,9]=>10101000=>8
[4,3,2,6,8,1,5,7,9]=>11001000=>8
[4,3,2,6,1,5,7,8,9]=>11010000=>8
[3,6,9,2,5,8,1,4,7]=>00100100=>4
[3,6,2,5,8,1,4,7,9]=>01001000=>6
[3,6,2,5,1,4,7,8,9]=>01010000=>6
[3,2,5,7,9,1,4,6,8]=>10001000=>8
[3,2,5,7,1,4,6,8,9]=>10010000=>8
[3,2,5,1,4,6,7,8,9]=>10100000=>8
[2,4,6,8,1,3,5,7,9]=>00010000=>5
[2,4,6,1,3,5,7,8,9]=>00100000=>6
[8,7,6,5,4,3,2,10,1,9]=>111111010=>9
[7,6,5,4,3,10,2,9,1,8]=>111101010=>9
[7,6,5,4,3,2,9,1,8,10]=>111110100=>9
[6,5,4,10,3,9,2,8,1,7]=>110101010=>9
[6,5,4,3,9,2,8,1,7,10]=>111010100=>9
[6,5,4,3,2,8,10,1,7,9]=>111100100=>9
[6,5,4,3,2,8,1,7,9,10]=>111101000=>9
[5,10,4,9,3,8,2,7,1,6]=>010101010=>5
[5,4,9,3,8,2,7,1,6,10]=>101010100=>9
[5,4,3,8,2,7,10,1,6,9]=>110100100=>9
[5,4,3,8,2,7,1,6,9,10]=>110101000=>9
[5,4,3,2,7,9,1,6,8,10]=>111001000=>9
[5,4,3,2,7,1,6,8,9,10]=>111010000=>9
[4,8,3,7,2,6,10,1,5,9]=>010100100=>6
[4,8,3,7,2,6,1,5,9,10]=>010101000=>6
[4,3,7,10,2,6,9,1,5,8]=>100100100=>9
[4,3,7,2,6,9,1,5,8,10]=>101001000=>9
[4,3,7,2,6,1,5,8,9,10]=>101010000=>9
[4,3,2,6,8,10,1,5,7,9]=>110001000=>9
[4,3,2,6,8,1,5,7,9,10]=>110010000=>9
[4,3,2,6,1,5,7,8,9,10]=>110100000=>9
[3,6,9,2,5,8,1,4,7,10]=>001001000=>5
[3,6,2,5,8,10,1,4,7,9]=>010001000=>7
[3,6,2,5,8,1,4,7,9,10]=>010010000=>7
[3,6,2,5,1,4,7,8,9,10]=>010100000=>7
[3,2,5,7,9,1,4,6,8,10]=>100010000=>9
[3,2,5,7,1,4,6,8,9,10]=>100100000=>9
[3,2,5,1,4,6,7,8,9,10]=>101000000=>9
[2,4,6,8,1,3,5,7,9,10]=>000100000=>6
[2,4,6,1,3,5,7,8,9,10]=>001000000=>7
[2,4,1,3,5,6,7,8,9,10]=>010000000=>8
[2,1,7,3,8,4,6,5]=>1010101=>4
[4,1,8,2,7,3,6,5]=>1010101=>4
[4,1,7,2,8,3,6,5]=>1010101=>4
[7,1,3,2,8,4,6,5]=>1010101=>4
[7,1,8,2,4,3,6,5]=>1010101=>4
[8,1,7,2,5,3,6,4]=>1010101=>4
[7,1,5,2,8,3,6,4]=>1010101=>4
[5,1,7,2,8,3,6,4]=>1010101=>4
[5,1,8,2,7,3,6,4]=>1010101=>4
[5,1,8,2,4,3,7,6]=>1010101=>4
[8,1,6,2,4,3,7,5]=>1010101=>4
[6,1,8,2,4,3,7,5]=>1010101=>4
[6,1,8,2,5,3,7,4]=>1010101=>4
[8,1,6,2,5,3,7,4]=>1010101=>4
[8,1,6,2,7,3,5,4]=>1010101=>4
[6,1,8,2,7,3,5,4]=>1010101=>4
[6,1,7,2,8,3,5,4]=>1010101=>4
[6,1,7,2,5,3,8,4]=>1010101=>4
[6,1,7,2,4,3,8,5]=>1010101=>4
[5,1,6,2,4,3,8,7]=>1010101=>4
[7,1,5,2,4,3,8,6]=>1010101=>4
[7,1,6,2,4,3,8,5]=>1010101=>4
[7,1,6,2,5,3,8,4]=>1010101=>4
[7,1,6,2,8,3,5,4]=>1010101=>4
[7,1,8,2,6,3,5,4]=>1010101=>4
[1,8,2,7,5,4,6,3]=>0101101=>2
[1,8,2,7,4,3,5,6]=>0101100=>3
[1,8,6,4,7,2,3,5]=>0110100=>4
[1,8,4,2,6,3,5,7]=>0110100=>4
[7,4,8,1,5,2,3,6]=>1010100=>7
[4,1,7,2,6,3,5,8]=>1010100=>7
[5,1,7,4,3,6,2,8]=>1011010=>6
[7,5,8,3,2,4,1,6]=>1011010=>6
[1,8,5,4,3,6,2,7]=>0111010=>3
[1,8,5,4,3,7,2,6]=>0111010=>3
[1,8,5,4,7,2,6,3]=>0110101=>3
[1,8,4,2,5,3,7,6]=>0110101=>3
[1,8,5,4,2,6,7,3]=>0111001=>3
[7,4,8,2,1,3,5,6]=>1011000=>6
[4,1,7,3,2,5,6,8]=>1011000=>6
[7,5,4,8,2,3,6,1]=>1101001=>6
[7,3,8,1,5,6,2,4]=>1010010=>6
[3,1,7,2,6,8,4,5]=>1010010=>6
[5,1,7,4,2,6,8,3]=>1011001=>5
[4,1,6,3,2,5,8,7]=>1011001=>5
[4,3,1,6,2,5,7,8]=>1101000=>7
[6,5,4,3,7,1,8,2]=>1110101=>6
[6,3,2,8,5,7,1,4]=>1101010=>7
[6,5,4,3,8,2,7,1]=>1110101=>6
[6,5,4,3,8,7,1,2]=>1110110=>7
[7,6,3,8,5,4,1,2]=>1101110=>6
[5,4,8,2,1,7,3,6]=>1011010=>6
[6,4,2,8,5,1,3,7]=>1101100=>7
[7,6,4,8,5,1,2,3]=>1101100=>7
[7,2,8,6,3,1,4,5]=>1011100=>5
[7,2,8,6,1,5,3,4]=>1011010=>6
[2,1,7,8,3,6,4,5]=>1001010=>5
[6,4,1,7,8,2,3,5]=>1100100=>7
[4,2,1,6,7,3,5,8]=>1100100=>7
[4,3,1,5,2,7,6,8]=>1101010=>7
[5,4,2,7,3,8,1,6]=>1101010=>7
[4,1,5,3,2,8,6,7]=>1011010=>6
[3,1,6,2,8,7,4,5]=>1010110=>5
[6,3,1,7,8,5,2,4]=>1100110=>6
[6,5,4,1,7,8,3,2]=>1110011=>5
[5,4,3,1,6,7,2,8]=>1110010=>7
[6,5,4,2,7,8,3,1]=>1110011=>5
[5,4,2,6,3,8,7,1]=>1101011=>5
[4,3,1,5,2,6,8,7]=>1101001=>6
[5,4,2,1,6,7,8,3]=>1110001=>6
[5,4,3,1,6,7,8,2]=>1110001=>6
[6,3,8,1,2,5,7,4]=>1010001=>6
[3,6,7,1,2,5,8,4]=>0010001=>2
[7,8,3,1,2,5,6,4]=>0110001=>4
[7,8,1,3,2,4,6,5]=>0101001=>3
[7,8,2,1,3,5,4,6]=>0110010=>4
[5,2,3,7,1,8,6,4]=>1001011=>4
[2,5,3,6,1,8,7,4]=>0101011=>1
[2,6,7,3,1,8,4,5]=>0011010=>2
[2,6,7,1,3,5,4,8]=>0010010=>3
[6,2,8,3,1,7,4,5]=>1011010=>6
[3,2,5,7,1,8,4,6]=>1001010=>5
[4,3,1,2,7,8,6,5]=>1100011=>5
[5,1,2,7,3,6,4,8]=>1001010=>5
[5,1,4,7,8,2,3,6]=>1000100=>6
[5,3,4,7,8,6,1,2]=>1000110=>5
[3,5,4,6,8,7,1,2]=>0100110=>3
[1,5,4,6,8,2,3,7]=>0100100=>5
[1,6,7,3,2,4,8,5]=>0011001=>2
[1,5,3,6,2,7,8,4]=>0101001=>3
[5,1,3,7,2,6,8,4]=>1001001=>5
[5,2,4,7,8,1,6,3]=>1000101=>5
[4,2,5,7,6,1,8,3]=>1001101=>4
[4,5,2,8,6,1,7,3]=>0101101=>2
[5,3,1,8,2,6,7,4]=>1101001=>6
[6,1,8,3,2,4,7,5]=>1011001=>5
[4,3,5,7,6,8,1,2]=>1001010=>5
[4,1,5,7,6,2,3,8]=>1001100=>6
[4,5,1,8,6,2,3,7]=>0101100=>3
[5,2,1,8,3,6,4,7]=>1101010=>7
[3,4,2,1,8,7,5,6]=>0110110=>3
[7,6,5,4,2,1,8,3]=>1111101=>6
[7,6,5,4,8,1,3,2]=>1110101=>6
[8,7,6,5,4,2,1,9,3]=>11111101=>7
[7,6,5,8,2,1,4,3]=>1101101=>5
[8,7,6,5,3,2,1,9,4]=>11111101=>7
[8,7,6,4,3,2,1,9,5]=>11111101=>7
[8,7,5,4,3,2,1,9,6]=>11111101=>7
[8,5,4,3,2,1,7,6]=>1111101=>6
[8,6,5,4,3,2,1,9,7]=>11111101=>7
[7,6,5,4,3,2,1,9,8]=>11111101=>7
[7,6,5,4,1,8,3,2]=>1111011=>5
[8,7,6,5,4,9,1,3,2]=>11110101=>7
[9,8,7,6,5,4,2,1,10,3]=>111111101=>8
[7,6,5,2,8,1,4,3]=>1110101=>6
[8,7,6,5,9,2,1,4,3]=>11101101=>7
[9,8,7,6,5,3,2,1,10,4]=>111111101=>8
[7,6,5,8,4,1,3,2]=>1101101=>5
[8,7,6,9,3,2,1,5,4]=>11011101=>6
[9,8,7,6,4,3,2,1,10,5]=>111111101=>8
[7,6,8,5,2,1,4,3]=>1011101=>4
[8,7,9,4,3,2,1,6,5]=>10111101=>4
[9,8,7,5,4,3,2,1,10,6]=>111111101=>8
[7,8,6,3,2,1,5,4]=>0111101=>2
[8,9,5,4,3,2,1,7,6]=>01111101=>2
[9,8,6,5,4,3,2,1,10,7]=>111111101=>8
[8,7,4,3,2,1,6,5]=>1111101=>6
[9,6,5,4,3,2,1,8,7]=>11111101=>7
[9,7,6,5,4,3,2,1,10,8]=>111111101=>8
[7,8,9,10,4,5,6,2,3,1]=>000100101=>1
[7,8,9,4,5,6,10,2,3,1]=>001000101=>2
[7,8,9,10,4,5,2,3,6,1]=>000101001=>1
[7,8,9,4,5,10,2,3,6,1]=>001001001=>3
[7,8,9,4,5,2,3,6,10,1]=>001010001=>3
[7,8,4,5,9,10,2,3,6,1]=>010001001=>4
[7,8,4,5,9,2,3,6,10,1]=>010010001=>5
[7,8,9,10,4,5,6,2,1,3]=>000100110=>2
[7,8,9,4,5,6,10,2,1,3]=>001000110=>3
[7,8,9,10,4,5,2,6,1,3]=>000101010=>2
[7,8,9,4,5,10,2,6,1,3]=>001001010=>2
[7,8,9,4,5,2,6,10,1,3]=>001010010=>3
[7,8,4,5,9,10,2,6,1,3]=>010001010=>4
[7,8,4,5,9,2,6,10,1,3]=>010010010=>6
[7,8,9,10,4,5,2,1,3,6]=>000101100=>3
[7,8,9,4,5,10,2,1,3,6]=>001001100=>3
[7,8,9,4,5,2,10,1,3,6]=>001010100=>3
[7,8,9,4,5,2,1,3,6,10]=>001011000=>4
[7,8,4,5,9,10,2,1,3,6]=>010001100=>5
[7,8,4,5,9,2,10,1,3,6]=>010010100=>5
[7,8,4,5,9,2,1,3,6,10]=>010011000=>5
[7,8,9,10,4,2,5,6,1,3]=>000110010=>2
[7,8,9,4,10,2,5,6,1,3]=>001010010=>3
[7,8,9,4,2,5,6,10,1,3]=>001100010=>4
[7,8,4,9,10,2,5,6,1,3]=>010010010=>6
[7,8,4,9,2,5,6,10,1,3]=>010100010=>6
[7,8,9,10,4,2,5,1,3,6]=>000110100=>3
[7,8,9,4,10,2,5,1,3,6]=>001010100=>3
[7,8,9,4,2,5,10,1,3,6]=>001100100=>4
[7,8,9,4,2,5,1,3,6,10]=>001101000=>4
[7,8,4,9,10,2,5,1,3,6]=>010010100=>5
[7,8,4,9,2,5,10,1,3,6]=>010100100=>6
[7,8,4,9,2,5,1,3,6,10]=>010101000=>6
[7,8,4,2,5,9,10,1,3,6]=>011000100=>6
[7,8,4,2,5,9,1,3,6,10]=>011001000=>6
[7,4,8,9,10,2,5,6,1,3]=>100010010=>7
[7,4,8,9,2,5,6,10,1,3]=>100100010=>8
[7,4,8,9,10,2,5,1,3,6]=>100010100=>7
[7,4,8,9,2,5,10,1,3,6]=>100100100=>9
[7,4,8,9,2,5,1,3,6,10]=>100101000=>8
[7,4,8,2,5,9,10,1,3,6]=>101000100=>9
[7,8,2,4,5,1,3,6]=>0100100=>5
[4,6,7,2,5,1,3,8]=>0010100=>3
[7,8,1,3,2,4,5,6]=>0101000=>5
[7,8,4,1,5,2,3,6]=>0110100=>4
[3,6,7,2,1,4,5,8]=>0011000=>4
[5,2,3,6,1,4,7,8]=>1001000=>7
[2,5,3,6,1,4,7,8]=>0101000=>5
[2,6,7,3,1,4,5,8]=>0011000=>4
[4,6,7,1,5,2,3,8]=>0010100=>3
[4,6,7,3,5,8,1,2]=>0010010=>3
[6,4,7,1,5,2,3,8]=>1010100=>7
[6,2,7,3,1,4,5,8]=>1011000=>6
[3,2,5,6,1,4,7,8]=>1001000=>7
[3,5,2,6,1,4,7,8]=>0101000=>5
[5,1,4,6,7,2,3,8]=>1000100=>6
[3,5,4,6,7,8,1,2]=>0100010=>4
[1,5,4,6,7,2,3,8]=>0100100=>5
[1,6,7,3,2,4,5,8]=>0011000=>4
[1,5,3,6,2,4,7,8]=>0101000=>5
[5,1,3,6,2,4,7,8]=>1001000=>7
[5,2,4,6,7,1,3,8]=>1000100=>6
[2,5,4,6,7,1,3,8]=>0100100=>5
[2,6,7,4,5,1,3,8]=>0010100=>3
[6,2,7,4,5,1,3,8]=>1010100=>7
[4,2,5,6,7,1,3,8]=>1000100=>6
[4,5,2,6,7,1,3,8]=>0100100=>5
[5,3,1,6,2,4,7,8]=>1101000=>7
[6,1,7,3,2,4,5,8]=>1011000=>6
[6,1,7,4,5,2,3,8]=>1010100=>7
[6,3,7,4,5,8,1,2]=>1010010=>6
[5,4,1,6,7,2,3,8]=>1100100=>7
[5,2,1,6,3,4,7,8]=>1101000=>7
[7,3,2,5,4,1,6,8]=>1101100=>7
[7,3,5,4,2,1,6,8]=>1011100=>5
[7,3,5,2,4,1,6,8]=>1010100=>7
[7,6,5,2,1,4,3,8]=>1111010=>7
[1,3,6,7,5,2,8,4]=>0001101=>1
[7,3,4,1,6,2,5,8]=>1010100=>7
[7,3,4,1,6,5,2,8]=>1010110=>5
[7,3,4,1,5,6,2,8]=>1010010=>6
[7,3,2,5,1,6,4,8]=>1101010=>7
[7,6,5,4,1,3,2,8]=>1111010=>7
[7,3,4,1,5,2,6,8]=>1010100=>7
[1,3,6,7,2,5,8,4]=>0001001=>1
[1,7,4,6,2,8,5,3]=>0101011=>1
[4,3,1,7,2,6,8,5]=>1101001=>6
[5,6,1,4,7,3,8,2]=>0100101=>2
[5,3,2,1,7,4,8,6]=>1110101=>6
[1,3,4,5,8,7,2,6]=>0000110=>2
[6,3,4,5,8,1,7,2]=>1000101=>5
[2,4,5,1,6,8,7,3]=>0010011=>1
[3,1,2,5,6,8,7,4]=>1000011=>5
[4,3,2,5,6,8,1,7]=>1100010=>7
[3,7,5,4,6,8,1,2]=>0110010=>4
[3,1,4,6,5,8,2,7]=>1001010=>5
[2,3,4,5,8,6,1,7]=>0000110=>2
[2,3,4,5,8,1,7,6]=>0000101=>1
[3,1,4,6,5,8,7,2]=>1001011=>4
[3,7,5,4,6,8,2,1]=>0110011=>2
[5,6,1,4,7,2,8,3]=>0100101=>2
[4,3,1,7,5,6,8,2]=>1101001=>6
[4,3,1,7,6,5,8,2]=>1101101=>5
[3,1,4,6,7,8,5,2]=>1000011=>5
[1,4,5,2,6,8,7,3]=>0010011=>1
[3,7,5,2,6,8,1,4]=>0110010=>4
[3,7,5,2,6,8,4,1]=>0110011=>2
[5,6,1,2,7,4,8,3]=>0100101=>2
[6,3,5,2,4,7,8,1]=>1010001=>6
[5,3,2,1,4,7,8,6]=>1110001=>6
[5,3,1,4,2,7,8,6]=>1101001=>6
[5,3,1,2,4,7,8,6]=>1100001=>6
[7,1,5,2,6,8,4,3]=>1010011=>5
[7,1,5,2,6,8,3,4]=>1010010=>6
[1,7,4,6,5,8,3,2]=>0101011=>1
[2,7,4,6,1,8,3,5]=>0101010=>4
[2,7,4,6,1,8,5,3]=>0101011=>1
[2,3,6,7,1,5,8,4]=>0001001=>1
[2,3,6,7,5,1,8,4]=>0001101=>1
[4,3,2,6,7,1,8,5]=>1100101=>6
[7,3,2,5,6,8,1,4]=>1100010=>7
[7,1,5,4,6,8,2,3]=>1010010=>6
[2,7,4,6,5,8,1,3]=>0101010=>4
[7,3,4,5,8,6,1,2]=>1000110=>5
[7,3,4,5,8,1,6,2]=>1000101=>5
[7,3,4,5,8,1,2,6]=>1000100=>6
[1,3,4,5,8,6,2,7]=>0000110=>2
[1,3,4,5,8,2,7,6]=>0000101=>1
[6,3,4,5,8,2,1,7]=>1000110=>5
[6,3,4,5,8,2,7,1]=>1000101=>5
[7,3,4,5,8,6,2,1]=>1000111=>4
[2,7,4,6,5,8,3,1]=>0101011=>1
[7,1,5,4,6,8,3,2]=>1010011=>5
[7,3,2,5,6,8,4,1]=>1100011=>5
[5,7,4,6,1,8,3,2]=>0101011=>1
[6,3,4,5,8,1,2,7]=>1000100=>6
[7,3,4,5,8,2,1,6]=>1000110=>5
[7,3,4,5,8,2,6,1]=>1000101=>5
[4,7,6,1,8,2,5,3]=>0110101=>3
[4,8,6,1,7,5,2,3]=>0110110=>3
[4,7,8,2,6,1,5,3]=>0010101=>1
[7,6,4,2,8,3,5,1]=>1110101=>6
[8,6,4,2,7,5,3,1]=>1110111=>4
[8,4,7,3,6,5,1,2]=>1010110=>5
[8,4,6,1,7,5,3,2]=>1010111=>3
[6,4,7,1,8,3,2,5]=>1010110=>5
[7,4,8,3,6,1,5,2]=>1010101=>4
[7,8,4,3,6,2,5,1]=>0110101=>3
[8,10,7,9,5,6,3,4,1,2]=>010101010=>5
[9,10,6,8,5,7,3,4,1,2]=>010101010=>5
[8,10,6,9,5,7,3,4,1,2]=>010101010=>5
[7,10,6,9,5,8,3,4,1,2]=>010101010=>5
[9,10,7,8,4,6,3,5,1,2]=>010101010=>5
[8,10,7,9,4,6,3,5,1,2]=>010101010=>5
[9,10,6,8,4,7,3,5,1,2]=>010101010=>5
[8,10,6,9,4,7,3,5,1,2]=>010101010=>5
[7,10,6,9,4,8,3,5,1,2]=>010101010=>5
[9,10,5,8,4,7,3,6,1,2]=>010101010=>5
[8,10,5,9,4,7,3,6,1,2]=>010101010=>5
[7,10,5,9,4,8,3,6,1,2]=>010101010=>5
[6,10,5,9,4,8,3,7,1,2]=>010101010=>5
[9,10,7,8,5,6,2,4,1,3]=>010101010=>5
[8,10,7,9,5,6,2,4,1,3]=>010101010=>5
[9,10,6,8,5,7,2,4,1,3]=>010101010=>5
[8,10,6,9,5,7,2,4,1,3]=>010101010=>5
[7,10,6,9,5,8,2,4,1,3]=>010101010=>5
[9,10,7,8,4,6,2,5,1,3]=>010101010=>5
[8,10,7,9,4,6,2,5,1,3]=>010101010=>5
[9,10,6,8,4,7,2,5,1,3]=>010101010=>5
[8,10,6,9,4,7,2,5,1,3]=>010101010=>5
[7,10,6,9,4,8,2,5,1,3]=>010101010=>5
[9,10,5,8,4,7,2,6,1,3]=>010101010=>5
[8,10,5,9,4,7,2,6,1,3]=>010101010=>5
[7,10,5,9,4,8,2,6,1,3]=>010101010=>5
[6,10,5,9,4,8,2,7,1,3]=>010101010=>5
[9,10,7,8,3,6,2,5,1,4]=>010101010=>5
[8,10,7,9,3,6,2,5,1,4]=>010101010=>5
[9,10,6,8,3,7,2,5,1,4]=>010101010=>5
[8,10,6,9,3,7,2,5,1,4]=>010101010=>5
[7,10,6,9,3,8,2,5,1,4]=>010101010=>5
[9,10,5,8,3,7,2,6,1,4]=>010101010=>5
[8,10,5,9,3,7,2,6,1,4]=>010101010=>5
[7,10,5,9,3,8,2,6,1,4]=>010101010=>5
[6,10,5,9,3,8,2,7,1,4]=>010101010=>5
[9,10,4,8,3,7,2,6,1,5]=>010101010=>5
[8,10,4,9,3,7,2,6,1,5]=>010101010=>5
[7,10,4,9,3,8,2,6,1,5]=>010101010=>5
[6,10,4,9,3,8,2,7,1,5]=>010101010=>5
[2,1,7,3,5,8,6,4]=>1010011=>5
[4,2,1,8,3,6,7,5]=>1101001=>6
[2,1,8,6,3,5,7,4]=>1011001=>5
[6,2,1,7,3,5,8,4]=>1101001=>6
[2,7,3,1,4,8,5,6]=>0110010=>4
[3,2,1,5,7,8,4,6]=>1100010=>7
[2,1,7,3,6,8,4,5]=>1010010=>6
[2,7,3,1,5,6,8,4]=>0110001=>4
[4,3,7,5,6,1,8,2]=>1010101=>4
[4,3,6,8,5,1,7,2]=>1001101=>4
[2,6,1,8,3,5,7,4]=>0101001=>3
[2,1,6,8,3,7,4,5]=>1001010=>5
[2,1,8,3,5,7,4,6]=>1010010=>6
[3,2,1,5,6,8,4,7]=>1100010=>7
[3,2,1,5,7,4,6,8]=>1100100=>7
[8,2,4,1,7,5,6,3]=>1010101=>4
[3,8,4,7,5,1,6,2]=>0101101=>2
[8,4,3,6,1,7,5,2]=>1101011=>5
[8,2,1,7,3,5,4,6]=>1101010=>7
[5,8,6,3,1,7,4,2]=>0111011=>2
[2,4,7,1,8,5,3,6]=>0010110=>2
[2,4,8,5,1,6,3,7]=>0011010=>2
[6,2,1,7,3,4,8,5]=>1101001=>6
[6,2,1,7,8,3,5,4]=>1100101=>6
[2,1,8,3,6,4,5,7]=>1010100=>7
[3,2,1,6,7,4,5,8]=>1100100=>7
[3,2,1,6,8,4,5,7]=>1100100=>7
[2,1,8,3,7,4,5,6]=>1010100=>7
[2,1,8,3,6,7,4,5]=>1010010=>6
[2,4,8,5,1,6,7,3]=>0011001=>2
[3,2,1,8,4,5,6,7]=>1101000=>7
[1,6,8,3,7,2,4,5]=>0010100=>3
[3,8,1,5,7,2,4,6]=>0100100=>5
[1,2,6,8,4,7,3,5]=>0001010=>2
[6,1,5,8,2,4,7,3]=>1001001=>5
[1,2,4,8,3,6,7,5]=>0001001=>1
[4,1,2,7,8,3,6,5]=>1000101=>5
[3,5,7,4,8,6,1,2]=>0010110=>2
[5,3,8,4,7,6,1,2]=>1010110=>5
[8,7,1,2,5,4,6,3]=>1100101=>6
[5,8,1,2,3,7,6,4]=>0100011=>3
[1,2,8,4,3,5,7,6]=>0011001=>2
[1,2,5,3,7,6,4,8]=>0010110=>2
[6,1,2,8,7,4,5,3]=>1001101=>4
[7,1,6,2,8,4,5,3]=>1010101=>4
[1,2,6,3,8,5,4,7]=>0010110=>2
[1,2,8,5,3,6,4,7]=>0011010=>2
[1,2,7,3,8,5,4,6]=>0010110=>2
[4,1,2,7,8,6,3,5]=>1000110=>5
[1,6,2,8,4,3,5,7]=>0101100=>3
[1,6,4,2,7,3,5,8]=>0110100=>4
[1,8,6,3,2,4,5,7]=>0111000=>4
[1,7,3,2,8,4,5,6]=>0110100=>4
[3,1,7,8,6,2,4,5]=>1001100=>6
[1,8,7,2,4,5,6,3]=>0110001=>4
[1,8,7,3,5,6,2,4]=>0110010=>4
[1,3,2,8,7,4,5,6]=>0101100=>3
[1,8,3,2,6,4,5,7]=>0110100=>4
[1,7,6,3,2,4,5,8]=>0111000=>4
[1,2,8,4,3,7,5,6]=>0011010=>2
[8,5,1,7,2,4,6,3]=>1101001=>6
[5,3,8,7,4,6,1,2]=>1011010=>6
[3,8,6,4,7,5,1,2]=>0110110=>3
[6,1,8,2,7,4,5,3]=>1010101=>4
[1,2,5,3,8,6,4,7]=>0010110=>2
[1,2,7,5,3,6,4,8]=>0011010=>2
[1,2,6,3,7,5,4,8]=>0010110=>2
[1,2,3,7,5,4,8,6]=>0001101=>1
[3,7,4,8,6,5,1,2]=>0101110=>2
[1,8,2,7,6,4,5,3]=>0101101=>2
[2,9,8,7,6,5,4,1,3]=>01111110=>2
[2,8,7,6,5,1,4,3]=>0111101=>2
[7,1,6,3,2,5,4,8]=>1011010=>6
[2,7,6,3,1,5,8,4]=>0111001=>3
[1,8,4,3,6,5,2,7]=>0110110=>3
[1,8,4,6,5,3,2,7]=>0101110=>2
[7,4,2,1,6,5,3,8]=>1110110=>7
[7,6,1,4,3,5,2,8]=>1101010=>7
[7,4,1,3,5,2,6,8]=>1100100=>7
[7,3,1,2,4,6,5,8]=>1100010=>7
[1,8,6,3,4,5,2,7]=>0110010=>4
[1,8,6,7,4,2,5,3]=>0101101=>2
[3,6,2,1,4,8,5,7]=>0110010=>4
[3,1,7,2,4,6,8,5]=>1010001=>6
[3,4,7,1,5,2,8,6]=>0010101=>1
[3,6,7,4,1,5,8,2]=>0011001=>2
[4,3,2,7,1,5,8,6]=>1101001=>6
[3,1,2,8,6,5,4,7]=>1001110=>4
[5,4,8,6,1,2,3,7]=>1011000=>6
[5,6,8,7,4,3,1,2]=>0011110=>2
[1,8,2,7,4,3,6,5]=>0101101=>2
[6,5,8,2,3,7,1,4]=>1010010=>6
[6,4,8,5,3,1,7,2]=>1011101=>4
[5,7,8,6,1,3,2,4]=>0011010=>2
[2,4,8,1,6,3,7,5]=>0010101=>1
[3,1,2,8,6,4,7,5]=>1001101=>4
[5,3,2,6,4,8,1,7]=>1101010=>7
[4,1,6,3,5,8,2,7]=>1010010=>6
[2,4,5,3,8,6,1,7]=>0010110=>2
[1,8,5,3,2,7,6,4]=>0111011=>2
[1,8,4,5,2,6,7,3]=>0101001=>3
[4,1,2,7,6,5,8,3]=>1001101=>4
[2,4,1,6,7,8,5,3]=>0100011=>3
[1,8,4,3,6,2,7,5]=>0110101=>3
[5,6,7,3,2,8,1,4]=>0011010=>2
[2,5,7,3,6,8,4,1]=>0010011=>1
[5,3,2,1,4,8,6,7]=>1110010=>7
[5,3,1,4,2,8,6,7]=>1101010=>7
[7,6,1,3,8,5,4,2]=>1100111=>4
[3,4,7,8,1,2,6,5]=>0001001=>1
[3,6,7,8,1,4,5,2]=>0001001=>1
[3,6,2,8,1,5,4,7]=>0101010=>4
[2,3,6,8,5,1,4,7]=>0001100=>3
[3,1,6,4,8,2,5,7]=>1010100=>7
[7,3,2,6,8,5,1,4]=>1100110=>6
[7,3,5,8,4,6,1,2]=>1001010=>5
[7,5,2,8,4,1,6,3]=>1101101=>5
[7,4,5,8,2,1,3,6]=>1001100=>6
[1,8,5,2,4,6,3,7]=>0110010=>4
[1,8,4,2,3,5,7,6]=>0110001=>4
[6,4,2,8,3,5,1,7]=>1101010=>7
[6,3,4,8,2,5,7,1]=>1001001=>5
[7,5,4,8,3,6,2,1]=>1101011=>5
[2,7,4,8,5,3,6,1]=>0101101=>2
[7,1,5,4,8,3,6,2]=>1010101=>4
[7,3,2,5,8,4,6,1]=>1100101=>6
[8,4,6,3,7,2,5,1]=>1010101=>4
[7,4,6,3,8,5,1,2]=>1010110=>5
[2,5,6,8,3,4,1,7]=>0001010=>2
[8,4,6,2,7,5,3,1]=>1010111=>3
[8,5,6,7,2,4,3,1]=>1001011=>4
[2,5,6,8,4,3,1,7]=>0001110=>2
[2,5,7,8,4,1,3,6]=>0001100=>3
[6,5,7,8,4,1,3,2]=>1001101=>4
[7,5,6,8,2,4,1,3]=>1001010=>5
[7,4,6,2,8,5,1,3]=>1010110=>5
[4,3,2,6,8,5,1,7]=>1100110=>6
[3,5,6,8,2,4,1,7]=>0001010=>2
[3,5,6,8,4,2,1,7]=>0001110=>2
[2,6,7,8,1,4,5,3]=>0001001=>1
[3,6,7,8,1,4,2,5]=>0001010=>2
[3,5,7,8,2,1,4,6]=>0001100=>3
[2,6,7,8,1,4,3,5]=>0001010=>2
[6,5,7,8,3,1,4,2]=>1001101=>4
[2,5,7,8,3,1,4,6]=>0001100=>3
[2,4,7,3,8,1,5,6]=>0010100=>3
[6,4,7,3,8,1,5,2]=>1010101=>4
[6,4,7,3,8,1,2,5]=>1010100=>7
[7,4,6,3,8,2,1,5]=>1010110=>5
[6,3,2,5,4,8,1,7]=>1101010=>7
[6,4,5,2,3,8,1,7]=>1010010=>6
[6,4,5,3,2,8,1,7]=>1011010=>6
[5,4,6,3,8,2,1,7]=>1010110=>5
[5,4,7,3,8,1,6,2]=>1010101=>4
[2,5,7,8,3,1,6,4]=>0001101=>1
[4,5,7,8,3,1,2,6]=>0001100=>3
[4,5,6,8,2,3,1,7]=>0001010=>2
[5,4,6,2,8,3,1,7]=>1010110=>5
[5,3,2,6,8,4,1,7]=>1100110=>6
[5,4,7,2,8,1,3,6]=>1010100=>7
[4,5,7,8,2,1,3,6]=>0001100=>3
[4,6,7,8,1,3,2,5]=>0001010=>2
[4,6,7,8,1,3,5,2]=>0001001=>1
[2,6,7,8,1,3,5,4]=>0001001=>1
[2,6,7,8,1,5,3,4]=>0001010=>2
[4,6,7,8,1,5,2,3]=>0001010=>2
[4,6,7,8,1,2,5,3]=>0001001=>1
[4,5,7,8,2,1,6,3]=>0001101=>1
[5,4,7,2,8,1,6,3]=>1010101=>4
[5,3,2,7,8,1,6,4]=>1100101=>6
[4,3,2,7,8,1,6,5]=>1100101=>6
[3,5,7,8,2,1,6,4]=>0001101=>1
[3,6,7,8,1,2,5,4]=>0001001=>1
[3,6,7,8,1,5,2,4]=>0001010=>2
[3,6,7,8,1,5,4,2]=>0001011=>1
[2,6,7,8,1,5,4,3]=>0001011=>1
[3,4,5,6,7,8,9,1,2,10]=>000000100=>3
[2,4,5,6,7,8,1,3,9]=>00000100=>3
[3,4,5,6,7,1,8,2,9]=>00001010=>2
[1,3,5,6,7,8,9,2,4]=>00000010=>2
[1,4,5,6,7,8,2,9,3]=>00000101=>1
[1,4,5,6,7,8,9,10,2,3]=>000000010=>2
[4,2,7,1,5,3,8,6]=>1010101=>4
[4,2,8,6,1,5,3,7]=>1011010=>6
[3,2,6,7,5,1,4,8]=>1001100=>6
[2,7,1,3,5,4,8,6]=>0100101=>2
[4,7,2,1,5,8,6,3]=>0110011=>2
[7,2,1,3,5,8,6,4]=>1100011=>5
[2,3,6,4,7,1,5,8]=>0010100=>3
[1,3,4,8,2,7,5,6]=>0001010=>2
[3,1,4,8,2,6,7,5]=>1001001=>5
[8,3,1,6,2,5,7,4]=>1101001=>6
[4,8,6,2,1,5,7,3]=>0111001=>3
[4,8,3,6,5,1,7,2]=>0101101=>2
[6,4,7,3,5,1,8,2]=>1010101=>4
[6,4,7,5,1,8,2,3]=>1011010=>6
[3,6,1,7,5,8,2,4]=>0101010=>4
[7,3,5,1,6,8,2,4]=>1010010=>6
[4,7,3,5,6,1,8,2]=>0100101=>2
[3,4,6,8,5,1,7,2]=>0001101=>1
[4,6,8,2,1,5,7,3]=>0011001=>2
[6,8,2,1,3,5,7,4]=>0110001=>4
[1,8,2,3,5,7,4,6]=>0100010=>4
[2,7,3,6,1,4,5,8]=>0101000=>5
[2,6,1,3,5,8,4,7]=>0100010=>4
[7,3,2,5,6,1,4,8]=>1100100=>7
[4,7,5,2,6,1,3,8]=>0110100=>4
[4,6,2,8,1,5,3,7]=>0101010=>4
[8,4,1,2,7,5,3,6]=>1100110=>6
[4,5,6,2,7,1,3,8]=>0010100=>3
[8,5,1,2,6,3,4,7]=>1100100=>7
[1,6,2,7,4,8,3,5]=>0101010=>4
[6,2,1,7,8,5,3,4]=>1100110=>6
[6,7,3,8,4,1,5,2]=>0101101=>2
[2,7,8,4,1,5,6,3]=>0011001=>2
[2,7,1,8,5,6,3,4]=>0101010=>4
[8,2,5,1,6,7,3,4]=>1010010=>6
[8,2,4,5,1,6,7,3]=>1001001=>5
[3,8,4,5,6,1,7,2]=>0100101=>2
[4,5,8,3,6,7,1,2]=>0010010=>3
[4,5,8,3,7,6,1,2]=>0010110=>2
[4,2,8,3,7,1,6,5]=>1010101=>4
[7,2,3,4,8,1,6,5]=>1000101=>5
[7,2,3,4,8,1,5,6]=>1000100=>6
[7,6,3,4,8,5,1,2]=>1100110=>6
[7,6,3,5,8,4,1,2]=>1100110=>6
[7,6,3,8,4,5,1,2]=>1101010=>7
[7,2,3,8,5,1,4,6]=>1001100=>6
[7,2,3,8,5,1,6,4]=>1001101=>4
[2,6,4,8,1,5,7,3]=>0101001=>3
[7,2,3,8,4,1,5,6]=>1001100=>6
[7,2,3,5,8,1,4,6]=>1000100=>6
[7,8,2,3,6,1,4,5]=>0100100=>5
[7,8,2,3,6,1,5,4]=>0100101=>2
[4,2,6,3,7,1,5,8]=>1010100=>7
[7,2,3,5,8,1,6,4]=>1000101=>5
[7,2,3,8,4,1,6,5]=>1001101=>4
[2,6,4,8,1,3,7,5]=>0101001=>3
[3,6,4,8,1,7,5,2]=>0101011=>1
[7,6,5,1,2,3,8,4]=>1110001=>6
[7,6,5,1,4,2,8,3]=>1110101=>6
[2,6,4,5,1,8,7,3]=>0101011=>1
[3,5,6,4,1,2,7,8]=>0011000=>4
[7,8,5,4,1,2,6,3]=>0111001=>3
[3,5,6,4,1,2,8,7]=>0011001=>2
[7,6,5,1,4,2,3,8]=>1110100=>7
[7,6,5,1,2,4,3,8]=>1110010=>7
[7,6,5,1,2,4,8,3]=>1110001=>6
[7,6,5,1,3,2,8,4]=>1110101=>6
[7,6,5,1,3,2,4,8]=>1110100=>7
[7,6,5,1,3,4,2,8]=>1110010=>7
[7,2,3,4,5,1,8,6]=>1000101=>5
[2,6,4,3,1,5,8,7]=>0111001=>3
[2,6,4,3,1,8,5,7]=>0111010=>3
[2,6,4,3,1,8,7,5]=>0111011=>2
[3,5,8,4,1,2,7,6]=>0011001=>2
[3,5,8,4,1,2,6,7]=>0011000=>4
[3,5,8,4,1,6,2,7]=>0011010=>2
[4,2,8,3,6,1,7,5]=>1010101=>4
[3,5,8,4,1,6,7,2]=>0011001=>2
[2,5,8,4,1,7,3,6]=>0011010=>2
[3,6,4,2,1,7,8,5]=>0111001=>3
[3,6,4,2,1,7,5,8]=>0111010=>3
[3,5,6,4,1,8,7,2]=>0011011=>1
[2,6,4,5,1,3,7,8]=>0101000=>5
[7,6,5,1,4,3,8,2]=>1110101=>6
[7,6,5,1,2,8,4,3]=>1110011=>5
[7,6,5,1,2,8,3,4]=>1110010=>7
[7,6,5,1,8,2,4,3]=>1110101=>6
[7,6,5,1,8,2,3,4]=>1110100=>7
[7,6,5,1,8,3,2,4]=>1110110=>7
[7,6,5,1,4,8,2,3]=>1110010=>7
[3,6,4,5,1,7,2,8]=>0101010=>4
[2,5,6,4,1,7,8,3]=>0011001=>2
[7,8,5,4,1,6,3,2]=>0111011=>2
[2,5,6,4,1,7,3,8]=>0011010=>2
[3,6,4,5,1,7,8,2]=>0101001=>3
[7,6,5,1,4,8,3,2]=>1110011=>5
[7,6,5,1,8,3,4,2]=>1110101=>6
[7,6,5,1,8,4,2,3]=>1110110=>7
[4,1,7,6,2,8,5,3]=>1011011=>3
[7,8,6,2,1,3,5,4]=>0111001=>3
[3,7,6,1,2,8,4,5]=>0110010=>4
[2,6,5,3,1,4,8,7]=>0111001=>3
[4,6,1,5,3,2,8,7]=>0101101=>2
[3,6,1,4,2,5,8,7]=>0101001=>3
[2,6,4,5,7,8,1,3]=>0100010=>4
[8,7,1,6,5,2,4,3]=>1101101=>5
[7,2,5,6,8,1,3,4]=>1000100=>6
[6,1,3,4,2,8,7,5]=>1001011=>4
[2,4,5,6,1,8,7,3]=>0001011=>1
[8,4,1,6,5,7,3,2]=>1101011=>5
[2,8,3,4,7,5,1,6]=>0100110=>3
[6,8,2,7,4,3,5,1]=>0101101=>2
[4,7,8,5,1,6,3,2]=>0011011=>1
[8,2,6,4,7,3,5,1]=>1010101=>4
[4,8,6,1,7,3,2,5]=>0110110=>3
[8,7,3,2,1,5,4,6]=>1111010=>7
[3,8,5,1,7,2,4,6]=>0110100=>4
[6,8,7,1,3,2,4,5]=>0110100=>4
[2,5,1,8,7,4,6,3]=>0101101=>2
[3,7,1,8,4,5,6,2]=>0101001=>3
[6,2,3,8,4,7,5,1]=>1001011=>4
[8,6,4,3,1,7,2,5]=>1111010=>7
[8,3,7,4,6,1,2,5]=>1010100=>7
[7,1,3,8,6,4,5,2]=>1001101=>4
[2,3,5,8,6,7,4,1]=>0001011=>1
[7,4,2,1,8,6,5,3]=>1110111=>4
[4,6,7,2,5,8,3,1]=>0010011=>1
[7,6,2,5,3,8,1,4]=>1101010=>7
[6,2,1,3,4,8,7,5]=>1100011=>5
[6,5,4,2,8,3,1,7]=>1110110=>7
[5,4,3,1,8,7,2,6]=>1110110=>7
[6,1,4,3,8,5,2,7]=>1010110=>5
[4,7,6,2,8,1,5,3]=>0110101=>3
[6,4,5,1,7,8,3,2]=>1010011=>5
[4,2,3,1,7,8,6,5]=>1010011=>5
[3,4,2,1,8,6,7,5]=>0110101=>3
[2,7,6,8,1,5,3,4]=>0101010=>4
[6,4,5,8,3,1,2,7]=>1001100=>6
[8,1,3,2,5,6,7,4]=>1010001=>6
[3,6,8,1,5,2,4,7]=>0010100=>3
[3,2,8,7,4,5,1,6]=>1011010=>6
[6,3,8,5,7,4,2,1]=>1010111=>3
[7,4,6,8,5,1,2,3]=>1001100=>6
[2,1,4,8,7,5,3,6]=>1001110=>4
[2,1,6,8,3,7,5,4]=>1001011=>4
[3,6,8,2,4,1,5,7]=>0010100=>3
[6,2,8,1,7,5,4,3]=>1010111=>3
[2,6,5,4,8,1,3,7]=>0110100=>4
[6,5,3,4,8,1,7,2]=>1100101=>6
[8,4,3,2,5,1,7,6]=>1110101=>6
[4,2,8,1,5,3,6,7]=>1010100=>7
[5,1,8,2,6,4,3,7]=>1010110=>5
[7,4,8,6,2,1,3,5]=>1011100=>5
[4,6,2,8,3,7,5,1]=>0101011=>1
[2,1,5,8,3,6,4,7]=>1001010=>5
[2,8,5,3,6,7,1,4]=>0110010=>4
[7,8,5,6,4,1,3,2]=>0101101=>2
[5,8,4,1,6,3,7,2]=>0110101=>3
[4,8,1,3,5,7,6,2]=>0100011=>3
[3,8,1,4,5,6,2,7]=>0100010=>4
[9,7,8,5,6,3,1,4,2]=>10101101=>4
[9,7,8,5,3,6,1,4,2]=>10110101=>5
[9,7,5,8,3,6,1,4,2]=>11010101=>7
[7,9,5,8,3,6,1,4,2]=>01010101=>4
[7,6,8,3,5,1,4,2]=>1010101=>4
[8,9,5,7,3,6,1,4,2]=>01010101=>4
[8,9,6,7,3,5,1,4,2]=>01010101=>4
[8,9,6,7,4,5,1,3,2]=>01010101=>4
[8,9,6,7,4,5,2,3,1]=>01010101=>4
[9,10,7,8,5,6,3,1,4,2]=>010101101=>2
[9,7,8,5,3,1,6,4,2]=>10111011=>4
[9,10,7,8,5,3,6,1,4,2]=>010110101=>3
[9,7,5,3,8,6,1,4,2]=>11101101=>7
[9,10,7,5,8,3,6,1,4,2]=>011010101=>4
[7,5,9,8,3,6,1,4,2]=>10110101=>5
[9,7,10,5,8,3,6,1,4,2]=>101010101=>5
[7,8,6,3,5,1,4,2]=>0110101=>3
[5,3,8,7,6,1,4,2]=>1011101=>4
[9,8,5,7,3,6,1,4,2]=>11010101=>7
[10,7,9,5,8,3,6,1,4,2]=>101010101=>5
[7,9,6,8,3,5,1,4,2]=>01010101=>4
[10,8,9,5,7,3,6,1,4,2]=>101010101=>5
[6,5,8,4,7,1,3,2]=>1010101=>4
[8,9,5,7,4,6,1,3,2]=>01010101=>4
[10,8,9,6,7,3,5,1,4,2]=>101010101=>5
[8,9,6,7,3,5,2,4,1]=>01010101=>4
[10,8,9,6,7,4,5,1,3,2]=>101010101=>5
[6,7,4,2,5,3,1,8]=>0110110=>3
[7,6,4,8,3,1,5,2]=>1101101=>5
[7,4,8,5,6,1,3,2]=>1010101=>4
[7,4,2,5,6,3,1,8]=>1100110=>6
[4,2,7,5,6,3,1,8]=>1010110=>5
[3,4,7,5,6,2,1,8]=>0010110=>2
[4,7,3,5,6,2,1,8]=>0100110=>3
[3,7,2,5,6,4,1,8]=>0100110=>3
[7,8,3,5,6,1,4,2]=>0100101=>2
[1,6,8,5,2,7,4,3]=>0011011=>1
[6,2,8,5,1,7,4,3]=>1011011=>3
[6,7,4,8,2,1,5,3]=>0101101=>2
[3,2,7,8,6,1,5,4]=>1001101=>4
[6,8,4,1,2,3,7,5]=>0110001=>4
[4,1,8,5,6,3,2,7]=>1010110=>5
[1,8,2,5,6,4,3,7]=>0100110=>3
[6,1,8,5,3,7,4,2]=>1011011=>3
[3,8,1,5,2,7,6,4]=>0101011=>1
[8,2,1,5,3,7,6,4]=>1101011=>5
[1,5,2,4,6,7,8,3]=>0100001=>4
[4,1,5,3,6,7,8,2]=>1010001=>6
[8,1,6,5,3,7,2,4]=>1011010=>6
[7,1,4,6,3,2,8,5]=>1001101=>4
[3,2,6,4,1,7,8,5]=>1011001=>5
[7,6,4,3,1,2,8,5]=>1111001=>6
[8,6,3,5,1,7,2,4]=>1101010=>7
[4,5,3,1,6,7,8,2]=>0110001=>4
[3,5,2,1,6,7,8,4]=>0110001=>4
[5,2,3,1,6,7,8,4]=>1010001=>6
[1,5,3,2,6,7,8,4]=>0110001=>4
[8,4,6,5,1,7,2,3]=>1011010=>6
[7,5,4,6,1,2,8,3]=>1101001=>6
[3,2,5,6,1,7,8,4]=>1001001=>5
[3,2,8,7,6,1,4,5]=>1011100=>5
[6,8,4,7,2,1,3,5]=>0101100=>3
[3,8,7,5,6,1,2,4]=>0110100=>4
[8,2,7,5,6,1,3,4]=>1010100=>7
[4,8,6,5,1,7,3,2]=>0111011=>2
[1,7,4,6,2,3,8,5]=>0101001=>3
[7,6,4,2,1,5,8,3]=>1111001=>6
[5,7,4,6,1,3,8,2]=>0101001=>3
[8,6,4,7,3,1,2,5]=>1101100=>7
[5,2,4,3,7,1,8,6]=>1010101=>4
[3,5,4,2,7,1,8,6]=>0110101=>3
[8,6,4,1,3,5,2,7]=>1110010=>7
[6,7,4,1,5,3,8,2]=>0110101=>3
[7,5,4,1,2,6,8,3]=>1110001=>6
[1,7,4,2,3,6,8,5]=>0110001=>4
[1,8,2,5,3,7,6,4]=>0101011=>1
[6,8,1,5,4,7,3,2]=>0101011=>1
[8,2,1,5,6,4,3,7]=>1100110=>6
[3,8,1,5,6,4,2,7]=>0100110=>3
[6,8,4,1,2,5,3,7]=>0110010=>4
[3,2,8,1,6,5,4,7]=>1010110=>5
[3,2,6,1,5,7,8,4]=>1010001=>6
[7,6,4,1,5,2,8,3]=>1110101=>6
[8,6,1,5,4,7,2,3]=>1101010=>7
[3,5,1,4,6,7,8,2]=>0100001=>4
[5,2,1,4,6,7,8,3]=>1100001=>6
[5,4,1,3,6,7,8,2]=>1100001=>6
[8,4,1,5,3,7,2,6]=>1101010=>7
[7,5,4,1,3,2,8,6]=>1110101=>6
[3,2,5,1,4,7,8,6]=>1010001=>6
[7,1,4,3,5,2,8,6]=>1010101=>4
[8,1,3,5,4,7,2,6]=>1001010=>5
[5,1,3,4,6,7,8,2]=>1000001=>6
[3,1,8,2,5,7,4,6]=>1010010=>6
[8,3,2,6,1,4,7,5]=>1101001=>6
[2,8,1,6,4,3,7,5]=>0101101=>2
[2,6,1,3,8,7,5,4]=>0100111=>2
[2,5,7,1,3,8,6,4]=>0010011=>1
[2,6,8,1,5,7,4,3]=>0010011=>1
[2,7,1,5,8,4,6,3]=>0100101=>2
[2,7,1,6,4,8,3,5]=>0101010=>4
[2,7,1,6,5,3,8,4]=>0101101=>2
[2,8,1,7,6,5,4,3]=>0101111=>1
[8,3,2,7,1,6,5,4]=>1101011=>5
[4,1,8,7,3,2,6,5]=>1011101=>4
[4,1,7,2,8,6,5,3]=>1010111=>3
[3,7,1,8,6,5,4,2]=>0101111=>1
[3,7,6,1,4,2,5,8]=>0110100=>4
[3,7,5,1,4,6,8,2]=>0110001=>4
[3,6,8,5,1,4,7,2]=>0011001=>2
[7,3,5,8,2,1,4,6]=>1001100=>6
[7,3,6,2,1,4,5,8]=>1011000=>6
[7,3,6,2,1,5,4,8]=>1011010=>6
[7,4,2,8,1,6,5,3]=>1101011=>5
[8,7,5,3,2,1,6,4]=>1111101=>6
[7,5,2,6,3,1,4,8]=>1101100=>7
[7,4,6,2,1,8,3,5]=>1011010=>6
[6,8,4,5,2,1,7,3]=>0101101=>2
[4,6,8,5,1,7,3,2]=>0011011=>1
[4,7,5,1,3,8,6,2]=>0110011=>2
[4,7,6,1,5,3,2,8]=>0110110=>3
[5,1,7,6,3,8,2,4]=>1011010=>6
[5,1,7,6,4,2,8,3]=>1011101=>4
[5,1,8,7,6,4,3,2]=>1011111=>2
[8,5,2,1,7,6,4,3]=>1110111=>4
[8,5,2,1,6,3,7,4]=>1110101=>6
[5,1,8,6,3,2,7,4]=>1011101=>4
[3,6,1,7,4,8,2,5]=>0101010=>4
[4,1,8,6,3,7,2,5]=>1011010=>6
[8,4,2,5,7,3,1,6]=>1100110=>6
[3,4,6,8,5,7,1,2]=>0001010=>2
[5,4,8,2,7,3,6,1]=>1010101=>4
[5,4,8,7,3,6,1,2]=>1011010=>6
[8,5,4,7,3,6,2,1]=>1101011=>5
[6,4,3,8,7,1,2,5]=>1101100=>7
[6,3,7,2,4,8,1,5]=>1010010=>6
[5,6,8,4,2,7,3,1]=>0011011=>1
[5,7,4,2,8,1,3,6]=>0110100=>4
[6,5,2,7,1,3,8,4]=>1101001=>6
[8,6,5,4,2,1,7,3]=>1111101=>6
[6,4,7,3,1,8,2,5]=>1011010=>6
[5,7,4,3,8,6,1,2]=>0110110=>3
[7,5,8,4,6,3,2,1]=>1010111=>3
[7,6,4,8,3,5,2,1]=>1101011=>5
[7,6,5,3,8,2,4,1]=>1110101=>6
[6,5,4,3,2,1,9,8,7]=>11111011=>6
[6,5,4,3,2,1,8,7,9]=>11111010=>8
[5,4,3,2,1,9,8,7,6]=>11110111=>5
[5,4,3,2,1,8,7,6,9]=>11110110=>8
[5,4,3,2,1,7,6,9,8]=>11110101=>7
[5,4,3,2,1,7,6,8,9]=>11110100=>8
[4,3,2,1,8,7,6,5,9]=>11101110=>8
[4,3,2,1,7,6,5,9,8]=>11101101=>7
[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=>7
[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=>7
[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=>8
[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=>7
[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=>9
[3,2,1,6,5,4,8,7,10,9]=>110110101=>8
[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]=>0101110=>2
[7,6,3,8,5,1,4,2]=>1101101=>5
[6,4,8,1,3,2,5,7]=>1010100=>7
[7,4,8,6,3,1,5,2]=>1011101=>4
[4,2,7,6,5,3,1,8]=>1011110=>4
[3,7,2,4,6,5,1,8]=>0100110=>3
[8,1,3,4,5,2,6,7]=>1000100=>6
[1,6,8,4,2,5,3,7]=>0011010=>2
[6,2,8,4,1,5,7,3]=>1011001=>5
[6,7,4,8,5,1,2,3]=>0101100=>3
[3,2,7,8,5,1,6,4]=>1001101=>4
[3,2,8,1,5,4,6,7]=>1010100=>7
[6,1,4,8,5,3,7,2]=>1001101=>4
[1,4,8,5,2,6,7,3]=>0011001=>2
[6,1,8,4,3,7,2,5]=>1011010=>6
[3,7,1,4,2,5,8,6]=>0101001=>3
[7,2,1,4,3,5,6,8]=>1101000=>7
[4,1,5,3,6,8,2,7]=>1010010=>6
[6,1,8,5,3,2,7,4]=>1011101=>4
[7,1,4,6,3,8,5,2]=>1001011=>4
[3,2,6,4,1,8,7,5]=>1011011=>3
[7,6,4,3,1,8,2,5]=>1111010=>7
[3,5,2,1,8,7,6,4]=>0110111=>1
[1,5,3,2,8,6,4,7]=>0110110=>3
[5,4,2,1,7,8,6,3]=>1110011=>5
[8,2,7,6,5,1,3,4]=>1011100=>5
[8,6,2,7,1,4,5,3]=>1101001=>6
[1,7,3,6,2,8,5,4]=>0101011=>1
[7,6,3,2,1,8,5,4]=>1111011=>5
[8,6,3,7,4,1,2,5]=>1101100=>7
[5,2,3,4,7,1,8,6]=>1000101=>5
[8,6,3,1,4,5,7,2]=>1110001=>6
[6,7,3,1,5,4,2,8]=>0110110=>3
[5,8,3,1,2,4,7,6]=>0110001=>4
[8,1,3,2,4,5,6,7]=>1010000=>7
[8,4,1,7,2,3,6,5]=>1101001=>6
[8,2,1,6,5,4,7,3]=>1101101=>5
[3,8,1,5,6,4,7,2]=>0100101=>2
[6,8,4,1,2,5,7,3]=>0110001=>4
[3,2,8,1,6,5,7,4]=>1010101=>4
[7,6,4,1,5,2,3,8]=>1110100=>7
[8,6,1,5,4,7,3,2]=>1101011=>5
[3,5,1,4,6,7,2,8]=>0100010=>4
[5,2,1,4,7,6,3,8]=>1100110=>6
[4,5,8,2,1,3,7,6]=>0011001=>2
[5,8,2,3,1,4,6,7]=>0101000=>5
[4,2,1,3,5,8,7,6]=>1100011=>5
[5,4,1,3,6,2,8,7]=>1100101=>6
[8,5,4,1,3,6,2,7]=>1110010=>7
[3,2,5,1,4,6,8,7]=>1010001=>6
[8,1,4,3,5,6,7,2]=>1010001=>6
[7,1,3,5,4,6,2,8]=>1001010=>5
[5,1,3,4,6,2,7,8]=>1000100=>6
[4,1,3,2,5,7,6,8]=>1010010=>6
[3,1,4,2,6,5,8,7,9]=>10101010=>8
[3,1,5,2,6,4,8,7,9]=>10101010=>8
[3,1,5,2,7,4,8,6,9]=>10101010=>8
[3,1,5,2,7,4,6,9,8]=>10101001=>7
[3,1,5,2,4,7,6,9,8]=>10100101=>6
[3,1,2,5,4,7,6,9,8]=>10010101=>5
[3,1,4,2,6,5,8,7,10,9]=>101010101=>5
[4,1,5,2,6,3,8,7,9]=>10101010=>8
[3,1,5,2,6,4,8,7,10,9]=>101010101=>5
[3,1,6,2,7,4,8,5,9]=>10101010=>8
[3,1,5,2,7,4,8,6,10,9]=>101010101=>5
[3,1,5,2,8,4,9,6,7]=>10101010=>8
[3,1,5,2,7,4,9,6,10,8]=>101010101=>5
[3,1,5,2,7,4,6,8,9]=>10101000=>8
[3,1,5,2,7,4,9,6,8,10]=>101010100=>9
[3,1,5,2,4,7,9,6,8]=>10100010=>7
[3,1,5,2,7,4,6,9,8,10]=>101010010=>8
[3,1,2,5,7,4,6,9,8]=>10001001=>6
[3,1,5,2,4,7,6,9,8,10]=>101001010=>7
[1,3,5,2,4,7,6,9,8]=>00100101=>1
[3,1,2,5,4,7,6,9,8,10]=>100101010=>6
[6,8,2,4,5,1,3,7]=>0100100=>5
[4,6,7,3,1,5,2,8]=>0011010=>2
[5,8,1,2,4,7,3,6]=>0100010=>4
[6,8,1,3,5,2,7,4]=>0100101=>2
[6,8,3,1,4,5,7,2]=>0110001=>4
[7,5,1,8,2,3,6,4]=>1101001=>6
[5,3,8,4,2,6,7,1]=>1011001=>5
[4,1,8,3,5,7,2,6]=>1010010=>6
[3,4,7,2,6,1,8,5]=>0010101=>1
[4,5,7,2,3,6,8,1]=>0010001=>2
[2,6,3,4,7,5,8,1]=>0100101=>2
[4,5,2,7,1,6,8,3]=>0101001=>3
[3,4,1,6,5,8,2,7]=>0101010=>4
[7,3,1,4,8,5,6,2]=>1100101=>6
[5,6,3,1,7,4,2,8]=>0110110=>3
[7,3,4,1,8,5,2,6]=>1010110=>5
[6,4,2,8,7,1,5,3]=>1101101=>5
[7,2,4,8,1,5,3,6]=>1001010=>5
[4,6,3,1,7,8,5,2]=>0110011=>2
[5,3,1,6,7,8,4,2]=>1100011=>5
[4,1,6,2,7,8,5,3]=>1010011=>5
[2,1,3,4,8,7,5,6]=>1000110=>5
[4,5,6,7,8,9,1,2,3]=>00000100=>3
[4,5,6,7,8,9,2,3,1]=>00000101=>1
[5,6,7,8,9,1,2,3,4]=>00001000=>4
[6,7,8,9,2,3,4,5,1]=>00010001=>2
[8,9,6,7,5,4,3,2,1]=>01011111=>1
[4,5,6,7,8,9,10,1,2,3]=>000000100=>3
[4,5,6,7,8,9,10,2,3,1]=>000000101=>1
[5,6,7,8,9,10,1,2,3,4]=>000001000=>4
[5,6,7,8,9,10,3,4,1,2]=>000001010=>2
[7,8,9,10,3,4,5,6,1,2]=>000100010=>3
[7,8,9,10,5,6,3,4,1,2]=>000101010=>2
[8,9,10,5,6,7,2,3,4,1]=>001001001=>3
[4,8,3,7,6,5,1,2]=>0101110=>2
[6,3,8,7,5,4,1,2]=>1011110=>4
[5,3,8,7,6,4,1,2]=>1011110=>4
[2,8,7,6,1,5,4,3]=>0111011=>2
[5,2,8,7,6,1,4,3]=>1011101=>4
[6,2,8,7,5,1,4,3]=>1011101=>4
[7,8,2,6,5,1,4,3]=>0101101=>2
[6,1,8,7,5,4,3,2]=>1011111=>2
[3,1,8,7,6,5,4,2]=>1011111=>2
[7,8,2,6,1,5,4,3]=>0101011=>1
[6,2,8,7,1,5,4,3]=>1011011=>3
[4,2,8,1,7,6,5,3]=>1010111=>3
[4,8,2,7,6,1,5,3]=>0101101=>2
[3,8,7,2,1,6,5,4]=>0111011=>2
[6,5,8,7,1,4,3,2]=>1011011=>3
[4,8,1,7,6,5,3,2]=>0101111=>1
[5,4,1,8,7,6,3,2]=>1101111=>3
[6,4,8,1,7,5,3,2]=>1010111=>3
[7,8,4,1,6,5,3,2]=>0110111=>1
[7,8,3,1,6,5,4,2]=>0110111=>1
[6,3,8,1,7,5,4,2]=>1010111=>3
[5,3,1,8,7,6,4,2]=>1101111=>3
[7,8,2,1,6,5,4,3]=>0110111=>1
[6,5,3,1,8,7,4,2]=>1110111=>4
[6,4,3,1,8,7,5,2]=>1110111=>4
[5,4,3,1,8,7,6,2]=>1110111=>4
[7,5,2,1,8,6,4,3]=>1110111=>4
[5,4,2,1,8,7,6,3]=>1110111=>4
[7,3,2,1,8,6,5,4]=>1110111=>4
[6,3,2,1,8,7,5,4]=>1110111=>4
[9,7,5,3,1,10,8,6,4,2]=>111101111=>5
[8,7,5,3,1,10,9,6,4,2]=>111101111=>5
[9,6,5,3,1,10,8,7,4,2]=>111101111=>5
[8,6,5,3,1,10,9,7,4,2]=>111101111=>5
[7,6,5,3,1,10,9,8,4,2]=>111101111=>5
[9,7,4,3,1,10,8,6,5,2]=>111101111=>5
[8,7,4,3,1,10,9,6,5,2]=>111101111=>5
[9,6,4,3,1,10,8,7,5,2]=>111101111=>5
[8,6,4,3,1,10,9,7,5,2]=>111101111=>5
[7,6,4,3,1,10,9,8,5,2]=>111101111=>5
[9,5,4,3,1,10,8,7,6,2]=>111101111=>5
[8,5,4,3,1,10,9,7,6,2]=>111101111=>5
[7,5,4,3,1,10,9,8,6,2]=>111101111=>5
[6,5,4,3,1,10,9,8,7,2]=>111101111=>5
[9,7,5,2,1,10,8,6,4,3]=>111101111=>5
[8,7,5,2,1,10,9,6,4,3]=>111101111=>5
[9,6,5,2,1,10,8,7,4,3]=>111101111=>5
[8,6,5,2,1,10,9,7,4,3]=>111101111=>5
[7,6,5,2,1,10,9,8,4,3]=>111101111=>5
[9,7,4,2,1,10,8,6,5,3]=>111101111=>5
[8,7,4,2,1,10,9,6,5,3]=>111101111=>5
[9,6,4,2,1,10,8,7,5,3]=>111101111=>5
[8,6,4,2,1,10,9,7,5,3]=>111101111=>5
[7,6,4,2,1,10,9,8,5,3]=>111101111=>5
[9,5,4,2,1,10,8,7,6,3]=>111101111=>5
[8,5,4,2,1,10,9,7,6,3]=>111101111=>5
[7,5,4,2,1,10,9,8,6,3]=>111101111=>5
[6,5,4,2,1,10,9,8,7,3]=>111101111=>5
[9,7,3,2,1,10,8,6,5,4]=>111101111=>5
[8,7,3,2,1,10,9,6,5,4]=>111101111=>5
[9,6,3,2,1,10,8,7,5,4]=>111101111=>5
[8,6,3,2,1,10,9,7,5,4]=>111101111=>5
[7,6,3,2,1,10,9,8,5,4]=>111101111=>5
[9,5,3,2,1,10,8,7,6,4]=>111101111=>5
[8,5,3,2,1,10,9,7,6,4]=>111101111=>5
[7,5,3,2,1,10,9,8,6,4]=>111101111=>5
[6,5,3,2,1,10,9,8,7,4]=>111101111=>5
[9,4,3,2,1,10,8,7,6,5]=>111101111=>5
[8,4,3,2,1,10,9,7,6,5]=>111101111=>5
[7,4,3,2,1,10,9,8,6,5]=>111101111=>5
[6,4,3,2,1,10,9,8,7,5]=>111101111=>5
[6,1,4,2,3,5,8,7]=>1010001=>6
[8,6,1,4,2,3,5,7]=>1101000=>7
[6,8,1,4,2,3,5,7]=>0101000=>5
[8,1,4,2,3,6,5,7]=>1010010=>6
[4,1,8,2,3,6,5,7]=>1010010=>6
[8,2,3,6,1,4,5,7]=>1001000=>7
[6,2,3,8,1,4,5,7]=>1001000=>7
[4,6,2,3,8,1,5,7]=>0100100=>5
[4,8,2,3,6,1,5,7]=>0100100=>5
[8,2,3,6,4,1,5,7]=>1001100=>6
[8,4,3,6,2,1,5,7]=>1101100=>7
[6,2,3,8,4,1,5,7]=>1001100=>6
[8,4,2,3,6,1,5,7]=>1100100=>7
[6,4,2,3,8,1,5,7]=>1100100=>7
[2,6,4,3,8,1,5,7]=>0110100=>4
[2,8,4,3,6,1,5,7]=>0110100=>4
[2,6,3,8,4,1,5,7]=>0101100=>3
[6,3,8,4,2,1,5,7]=>1011100=>5
[2,6,3,8,1,4,5,7]=>0101000=>5
[2,8,3,6,1,4,5,7]=>0101000=>5
[8,3,6,4,2,1,5,7]=>1011100=>5
[2,8,3,6,4,1,5,7]=>0101100=>3
[8,3,6,2,4,1,5,7]=>1010100=>7
[8,3,6,2,1,4,5,7]=>1011000=>6
[6,2,1,3,8,4,5,7]=>1100100=>7
[8,2,1,3,6,4,5,7]=>1100100=>7
[6,3,8,2,4,1,5,7]=>1010100=>7
[6,2,4,3,8,1,5,7]=>1010100=>7
[3,6,4,7,8,5,1,2]=>0100110=>3
[1,6,4,2,7,5,8,3]=>0110101=>3
[3,6,4,2,7,1,5,8]=>0110100=>4
[1,4,7,2,5,6,8,3]=>0010001=>2
[6,4,8,5,3,7,1,2]=>1011010=>6
[1,6,5,4,2,7,8,3]=>0111001=>3
[4,2,5,3,6,1,7,8]=>1010100=>7
[7,1,5,3,6,2,8,4]=>1010101=>4
[1,6,5,2,4,8,7,3]=>0110011=>2
[1,4,6,2,8,5,7,3]=>0010101=>1
[7,8,1,4,2,5,6,3]=>0101001=>3
[3,4,8,5,2,1,6,7]=>0011100=>3
[4,8,5,3,1,6,2,7]=>0111010=>3
[6,1,3,5,8,2,7,4]=>1000101=>5
[6,1,8,7,4,2,3,5]=>1011100=>5
[1,2,8,5,7,3,6,4]=>0010101=>1
[1,3,6,8,7,5,2,4]=>0001110=>2
[1,8,2,5,4,7,6,3]=>0101011=>1
[7,1,2,4,5,8,6,3]=>1000011=>5
[1,2,7,3,5,8,6,4]=>0010011=>1
[6,1,3,2,5,7,8,4]=>1010001=>6
[4,6,2,1,7,5,3,8]=>0110110=>3
[1,6,3,7,8,5,2,4]=>0100110=>3
[4,6,2,3,7,8,1,5]=>0100010=>4
[4,6,3,7,1,2,8,5]=>0101001=>3
[4,2,1,3,5,7,8,6]=>1100001=>6
[7,3,2,4,5,1,8,6]=>1100101=>6
[3,8,2,5,4,1,7,6]=>0101101=>2
[7,8,4,2,6,3,1,5]=>0110110=>3
[4,2,6,3,8,7,1,5]=>1010110=>5
[5,8,2,7,4,3,1,6]=>0101110=>2
[4,3,8,5,1,7,2,6]=>1011010=>6
[4,3,6,8,1,2,7,5]=>1001001=>5
[6,4,3,5,2,8,1,7]=>1101010=>7
[6,5,3,8,4,2,1,7]=>1101110=>6
[6,1,7,2,8,3,9,4,10,5]=>101010101=>5
[6,1,7,8,9,10,2,3,4,5]=>100001000=>8
[3,8,1,7,5,6,4,2]=>0101011=>1
[8,2,5,7,3,6,4,1]=>1001011=>4
[1,8,6,7,5,3,4,2]=>0101101=>2
[8,2,6,7,5,3,4,1]=>1001101=>4
[1,5,8,7,2,6,4,3]=>0011011=>1
[5,4,8,6,2,3,7,1]=>1011001=>5
[2,7,6,1,3,5,4,8]=>0110010=>4
[6,4,1,8,2,5,7,3]=>1101001=>6
[2,8,6,1,3,5,4,7]=>0110010=>4
[4,1,3,6,5,8,7,2]=>1001011=>4
[2,1,6,3,5,8,7,4]=>1010011=>5
[2,4,1,3,8,5,7,6]=>0100101=>2
[2,4,1,3,5,8,7,6]=>0100011=>3
[2,6,1,3,5,8,7,4]=>0100011=>3
[4,6,1,3,5,8,7,2]=>0100011=>3
[6,1,4,3,5,8,7,2]=>1010011=>5
[6,4,1,3,5,8,7,2]=>1100011=>5
[6,2,1,3,5,8,7,4]=>1100011=>5
[4,2,1,3,6,5,7,8]=>1100100=>7
[4,2,1,6,3,5,7,8]=>1101000=>7
[6,2,1,8,3,5,7,4]=>1101001=>6
[6,2,1,3,8,5,7,4]=>1100101=>6
[6,1,4,3,8,5,7,2]=>1010101=>4
[1,6,4,3,8,5,7,2]=>0110101=>3
[8,1,4,3,6,5,7,2]=>1010101=>4
[8,4,1,3,6,5,7,2]=>1100101=>6
[8,2,1,3,6,5,7,4]=>1100101=>6
[8,2,1,6,3,5,7,4]=>1101001=>6
[8,2,1,4,3,5,7,6]=>1101001=>6
[6,2,1,4,3,5,7,8]=>1101000=>7
[8,2,4,1,3,5,7,6]=>1010001=>6
[8,2,6,1,3,5,7,4]=>1010001=>6
[8,4,6,1,3,5,7,2]=>1010001=>6
[8,4,1,6,3,5,7,2]=>1101001=>6
[8,1,4,6,3,5,7,2]=>1001001=>5
[1,8,4,6,3,5,7,2]=>0101001=>3
[1,6,4,8,3,5,7,2]=>0101001=>3
[6,4,1,8,3,5,7,2]=>1101001=>6
[6,4,8,1,3,5,7,2]=>1010001=>6
[6,2,8,1,3,5,7,4]=>1010001=>6
[4,2,8,1,3,5,7,6]=>1010001=>6
[2,6,8,1,3,5,7,4]=>0010001=>2
[4,6,8,1,3,5,7,2]=>0010001=>2
[4,6,1,8,3,5,7,2]=>0101001=>3
[4,1,6,8,3,5,7,2]=>1001001=>5
[1,4,6,3,8,5,7,2]=>0010101=>1
[4,6,1,3,8,5,7,2]=>0100101=>2
[2,4,1,8,3,5,7,6]=>0101001=>3
[2,1,6,8,3,5,7,4]=>1001001=>5
[4,1,3,6,8,5,7,2]=>1000101=>5
[1,4,3,6,8,5,7,2]=>0100101=>2
[4,1,3,8,6,5,7,2]=>1001101=>4
[2,1,8,3,6,5,7,4]=>1010101=>4
[2,1,6,4,3,5,7,8]=>1011000=>6
[2,6,1,4,3,5,7,8]=>0101000=>5
[2,8,1,4,3,5,7,6]=>0101001=>3
[2,8,1,6,3,5,7,4]=>0101001=>3
[4,8,1,3,6,5,7,2]=>0100101=>2
[1,4,8,3,6,5,7,2]=>0010101=>1
[1,4,8,6,3,5,7,2]=>0011001=>2
[4,1,8,6,3,5,7,2]=>1011001=>5
[4,8,1,6,3,5,7,2]=>0101001=>3
[4,8,6,1,3,5,7,2]=>0110001=>4
[2,8,6,1,3,5,7,4]=>0110001=>4
[2,8,4,1,3,5,7,6]=>0110001=>4
[2,6,4,1,3,5,7,8]=>0110000=>5
[4,6,2,1,3,5,7,8]=>0110000=>5
[6,8,1,4,3,5,7,2]=>0101001=>3
[6,1,8,4,3,5,7,2]=>1011001=>5
[1,6,8,4,3,5,7,2]=>0011001=>2
[1,8,6,4,3,5,7,2]=>0111001=>3
[8,1,6,4,3,5,7,2]=>1011001=>5
[8,6,1,4,3,5,7,2]=>1101001=>6
[8,6,4,1,3,5,7,2]=>1110001=>6
[8,6,2,1,3,5,7,4]=>1110001=>6
[8,4,2,1,3,5,7,6]=>1110001=>6
[7,8,6,5,2,1,4,3]=>0111101=>2
[5,7,4,1,8,6,3,2]=>0110111=>1
[5,6,4,2,8,3,7,1]=>0110101=>3
[5,6,4,2,7,3,1,8]=>0110110=>3
[5,7,1,4,6,3,2,8]=>0100110=>3
[5,8,1,4,6,3,7,2]=>0100101=>2
[3,6,7,4,5,8,2,1]=>0010011=>1
[3,5,7,4,6,8,2,1]=>0010011=>1
[6,8,4,1,7,2,5,3]=>0110101=>3
[5,4,6,1,7,8,3,2]=>1010011=>5
[5,6,4,1,8,7,3,2]=>0110111=>1
[3,5,8,4,6,7,2,1]=>0010011=>1
[3,6,8,4,5,7,2,1]=>0010011=>1
[3,7,8,4,5,6,2,1]=>0010011=>1
[6,8,1,4,5,3,7,2]=>0100101=>2
[6,7,1,4,5,3,2,8]=>0100110=>3
[3,7,1,5,4,6,2,8]=>0101010=>4
[3,8,1,5,4,6,7,2]=>0101001=>3
[3,7,1,5,4,6,8,2]=>0101001=>3
[6,7,1,4,5,3,8,2]=>0100101=>2
[5,7,1,4,6,3,8,2]=>0100101=>2
[5,6,4,2,7,3,8,1]=>0110101=>3
[5,4,7,2,8,3,1,6]=>1010110=>5
[5,4,7,2,8,3,6,1]=>1010101=>4
[5,6,4,2,8,3,1,7]=>0110110=>3
[5,8,1,4,6,3,2,7]=>0100110=>3
[3,8,1,5,4,6,2,7]=>0101010=>4
[3,6,1,5,4,2,7,8]=>0101100=>3
[3,6,1,5,4,8,2,7]=>0101010=>4
[6,8,3,1,4,2,5,7]=>0110100=>4
[7,3,8,1,4,2,5,6]=>1010100=>7
[6,7,3,1,4,2,8,5]=>0110101=>3
[3,6,1,5,4,7,8,2]=>0101001=>3
[3,4,1,2,7,6,5,8]=>0100110=>3
[3,4,1,2,6,8,7,5]=>0100011=>3
[6,8,3,1,4,7,2,5]=>0110010=>4
[6,4,7,2,8,5,1,3]=>1010110=>5
[5,8,1,4,7,3,2,6]=>0100110=>3
[7,8,1,4,5,3,2,6]=>0100110=>3
[3,8,1,5,4,7,2,6]=>0101010=>4
[3,6,1,5,4,8,7,2]=>0101011=>1
[3,6,1,5,4,7,2,8]=>0101010=>4
[6,7,3,1,4,2,5,8]=>0110100=>4
[6,8,3,1,4,2,7,5]=>0110101=>3
[7,8,3,1,4,6,2,5]=>0110010=>4
[7,8,4,2,6,5,1,3]=>0110110=>3
[6,5,8,7,3,4,2,1]=>1011011=>3
[7,8,3,1,4,6,5,2]=>0110011=>2
[6,7,3,1,4,5,2,8]=>0110010=>4
[3,7,1,5,4,2,6,8]=>0101100=>3
[3,8,1,5,4,2,7,6]=>0101101=>2
[5,8,1,4,7,3,6,2]=>0100101=>2
[6,8,4,2,7,5,3,1]=>0110111=>1
[6,4,7,2,8,5,3,1]=>1010111=>3
[6,3,7,1,4,8,5,2]=>1010011=>5
[6,8,3,1,4,7,5,2]=>0110011=>2
[3,7,1,5,4,8,6,2]=>0101011=>1
[3,4,1,2,8,5,7,6]=>0100101=>2
[3,4,1,2,5,8,7,6]=>0100011=>3
[3,7,1,5,4,2,8,6]=>0101101=>2
[6,7,3,1,4,5,8,2]=>0110001=>4
[7,3,8,1,4,5,2,6]=>1010010=>6
[7,3,8,1,4,5,6,2]=>1010001=>6
[6,8,3,1,4,5,2,7]=>0110010=>4
[3,8,1,5,4,2,6,7]=>0101100=>3
[9,8,7,6,5,4,2,1,3]=>11111110=>8
[9,8,7,6,5,3,2,1,4]=>11111110=>8
[8,7,6,3,5,2,1,4]=>1110110=>7
[9,8,7,6,4,3,2,1,5]=>11111110=>8
[8,7,4,6,3,2,1,5]=>1101110=>6
[9,8,7,5,4,3,2,1,6]=>11111110=>8
[8,5,7,4,3,2,1,6]=>1011110=>4
[9,8,6,5,4,3,2,1,7]=>11111110=>8
[9,7,6,5,4,3,2,1,8]=>11111110=>8
[9,8,7,6,5,4,1,3,2]=>11111101=>7
[10,9,8,7,6,5,4,2,1,3]=>111111110=>9
[9,8,7,6,5,2,4,1,3]=>11111010=>8
[10,9,8,7,6,5,3,2,1,4]=>111111110=>9
[9,8,7,6,3,5,2,1,4]=>11110110=>8
[10,9,8,7,6,4,3,2,1,5]=>111111110=>9
[8,7,6,2,5,4,1,3]=>1110110=>7
[9,8,7,4,6,3,2,1,5]=>11101110=>8
[10,9,8,7,5,4,3,2,1,6]=>111111110=>9
[8,5,4,7,3,2,1,6]=>1101110=>6
[8,7,3,6,5,2,1,4]=>1101110=>6
[9,8,5,7,4,3,2,1,6]=>11011110=>6
[10,9,8,6,5,4,3,2,1,7]=>111111110=>9
[6,5,8,4,3,2,1,7]=>1011110=>4
[8,4,7,6,3,2,1,5]=>1011110=>4
[9,6,8,5,4,3,2,1,7]=>10111110=>4
[10,9,7,6,5,4,3,2,1,8]=>111111110=>9
[5,8,7,4,3,2,1,6]=>0111110=>2
[10,8,7,6,5,4,3,2,1,9]=>111111110=>9
[5,8,6,2,3,4,7,1]=>0110001=>4
[4,5,2,7,3,1,8,6]=>0101101=>2
[4,8,2,6,3,5,7,1]=>0101001=>3
[4,3,7,8,6,5,1,2]=>1001110=>4
[4,1,7,2,5,8,6,3]=>1010011=>5
[7,8,2,1,5,6,4,3]=>0110011=>2
[1,6,2,5,8,4,3,7]=>0100110=>3
[2,1,8,7,4,5,3,6]=>1011010=>6
[7,3,1,6,8,5,2,4]=>1100110=>6
[1,5,8,6,2,3,7,4]=>0011001=>2
[2,4,8,3,1,6,5,7]=>0011010=>2
[5,2,7,1,8,6,3,4]=>1010110=>5
[2,6,1,3,8,7,4,5]=>0100110=>3
[6,5,2,8,1,7,3,4]=>1101010=>7
[2,8,3,5,1,7,4,6]=>0101010=>4
[5,4,3,8,7,1,6,2]=>1101101=>5
[8,5,4,3,7,2,6,1]=>1110101=>6
[8,3,7,4,2,6,5,1]=>1011011=>3
[2,8,6,5,1,7,4,3]=>0111011=>2
[6,3,2,8,4,1,7,5]=>1101101=>5
[2,8,3,4,1,7,5,6]=>0101010=>4
[5,4,2,8,3,1,7,6]=>1101101=>5
[2,8,4,3,1,7,6,5]=>0111011=>2
[2,8,5,3,1,7,6,4]=>0111011=>2
[2,8,6,4,1,7,5,3]=>0111011=>2
[3,8,7,5,1,6,4,2]=>0111011=>2
[8,3,7,5,2,6,4,1]=>1011011=>3
[8,4,7,6,2,5,3,1]=>1011011=>3
[4,8,7,6,1,5,3,2]=>0111011=>2
[7,4,8,6,2,1,5,3]=>1011101=>4
[7,3,8,5,2,1,6,4]=>1011101=>4
[7,3,8,4,2,1,6,5]=>1011101=>4
[7,5,4,3,8,2,1,6]=>1110110=>7
[3,7,8,4,1,2,6,5]=>0011001=>2
[3,7,8,5,1,2,6,4]=>0011001=>2
[4,7,8,6,1,2,5,3]=>0011001=>2
[8,7,4,6,3,5,2,1]=>1101011=>5
[5,7,8,6,1,2,4,3]=>0011001=>2
[6,4,7,8,3,1,2,5]=>1001100=>6
[7,3,4,8,2,1,5,6]=>1001100=>6
[7,6,4,8,3,2,1,5]=>1101110=>6
[7,5,8,6,2,1,4,3]=>1011101=>4
[6,5,8,7,3,1,4,2]=>1011101=>4
[2,4,8,3,1,5,7,6]=>0011001=>2
[6,3,2,4,8,1,5,7]=>1100100=>7
[2,3,8,4,1,6,7,5]=>0011001=>2
[2,3,8,5,1,6,7,4]=>0011001=>2
[6,4,8,7,3,1,5,2]=>1011101=>4
[8,6,4,7,3,2,5,1]=>1101101=>5
[8,3,4,7,2,5,6,1]=>1001001=>5
[3,4,8,7,1,5,6,2]=>0011001=>2
[2,4,8,6,1,5,7,3]=>0011001=>2
[2,5,8,6,1,4,7,3]=>0011001=>2
[8,3,5,7,2,4,6,1]=>1001001=>5
[8,4,6,7,2,3,5,1]=>1001001=>5
[4,6,8,7,1,3,5,2]=>0011001=>2
[2,6,8,5,1,3,7,4]=>0011001=>2
[2,6,8,4,1,3,7,5]=>0011001=>2
[2,5,8,3,1,4,7,6]=>0011001=>2
[5,6,8,7,1,3,4,2]=>0011001=>2
[7,4,6,8,2,1,3,5]=>1001100=>6
[2,3,5,4,1,8,6,7]=>0011010=>2
[2,3,6,4,8,1,5,7]=>0010100=>3
[1,8,4,6,3,5,2,7]=>0101010=>4
[5,4,8,6,2,1,3,7]=>1011100=>5
[2,3,6,8,1,5,4,7]=>0001010=>2
[2,5,6,1,4,7,8,3]=>0010001=>2
[2,5,6,1,4,7,3,8]=>0010010=>3
[7,3,5,1,6,8,4,2]=>1010011=>5
[2,7,6,1,8,5,4,3]=>0110111=>1
[2,7,6,8,1,4,5,3]=>0101001=>3
[1,8,7,6,3,2,5,4]=>0111101=>2
[1,8,7,6,3,2,4,5]=>0111100=>3
[5,7,8,6,2,3,4,1]=>0011001=>2
[2,7,6,1,8,5,3,4]=>0110110=>3
[6,3,5,1,7,2,4,8]=>1010100=>7
[2,3,4,7,6,1,5,8]=>0001100=>3
[7,3,5,8,4,1,2,6]=>1001100=>6
[1,8,4,5,2,7,3,6]=>0101010=>4
[1,8,4,5,2,7,6,3]=>0101011=>1
[7,3,5,8,4,1,6,2]=>1001101=>4
[2,7,6,4,8,5,1,3]=>0110110=>3
[7,3,5,4,6,8,1,2]=>1010010=>6
[6,3,5,4,7,1,8,2]=>1010101=>4
[6,3,5,4,7,1,2,8]=>1010100=>7
[3,4,1,5,6,8,7,2]=>0100011=>3
[3,7,1,6,8,5,2,4]=>0100110=>3
[2,3,1,8,6,4,7,5]=>0101101=>2
[1,8,4,3,6,2,5,7]=>0110100=>4
[2,3,1,8,6,4,5,7]=>0101100=>3
[3,7,1,6,8,5,4,2]=>0100111=>2
[6,3,5,4,7,2,1,8]=>1010110=>5
[7,3,5,4,6,8,2,1]=>1010011=>5
[2,7,6,4,8,5,3,1]=>0110111=>1
[1,8,4,5,2,6,3,7]=>0101010=>4
[6,4,8,5,3,1,2,7]=>1011100=>5
[7,3,5,8,4,6,2,1]=>1001011=>4
[2,3,4,6,5,8,1,7]=>0001010=>2
[2,3,4,7,5,1,8,6]=>0001101=>1
[2,3,4,7,5,1,6,8]=>0001100=>3
[2,3,4,7,1,6,5,8]=>0001010=>2
[2,3,4,7,1,6,8,5]=>0001001=>1
[2,3,4,6,1,8,7,5]=>0001011=>1
[6,3,5,8,4,2,7,1]=>1001101=>4
[7,4,8,5,3,2,1,6]=>1011110=>4
[1,8,4,5,2,3,6,7]=>0101000=>5
[7,4,8,5,3,2,6,1]=>1011101=>4
[6,3,5,8,4,2,1,7]=>1001110=>4
[5,2,4,6,8,3,7,1]=>1000101=>5
[1,5,7,4,6,3,2,8]=>0010110=>2
[5,2,8,4,6,3,7,1]=>1010101=>4
[3,8,5,4,6,7,2,1]=>0110011=>2
[6,8,3,4,5,7,2,1]=>0100011=>3
[2,5,7,4,6,3,8,1]=>0010101=>1
[5,4,1,7,8,3,2,6]=>1100110=>6
[5,4,2,7,8,3,6,1]=>1100101=>6
[5,1,4,6,8,3,2,7]=>1000110=>5
[5,1,8,4,6,3,2,7]=>1010110=>5
[8,1,6,4,5,3,2,7]=>1010110=>5
[8,1,3,5,4,6,2,7]=>1001010=>5
[8,1,6,2,4,3,5,7]=>1010100=>7
[8,7,1,2,4,3,5,6]=>1100100=>7
[1,7,6,2,4,3,5,8]=>0110100=>4
[8,7,3,2,4,6,5,1]=>1110011=>5
[8,2,6,3,4,5,7,1]=>1010001=>6
[1,7,6,3,4,5,2,8]=>0110010=>4
[1,7,2,5,4,3,6,8]=>0101100=>3
[8,7,2,4,5,3,6,1]=>1100101=>6
[5,8,2,4,7,3,6,1]=>0100101=>2
[6,8,3,2,4,7,5,1]=>0110011=>2
[8,7,1,3,4,5,2,6]=>1100010=>7
[8,1,6,3,4,5,2,7]=>1010010=>6
[8,1,2,5,4,3,6,7]=>1001100=>6
[3,4,8,7,5,2,6,1]=>0011101=>1
[3,2,8,6,1,5,4,7]=>1011010=>6
[8,6,1,2,4,3,5,7]=>1100100=>7
[8,7,3,6,4,2,5,1]=>1101101=>5
[3,8,7,2,5,4,6,1]=>0110101=>3
[8,7,2,4,5,6,3,1]=>1100011=>5
[5,3,6,2,4,8,7,1]=>1010011=>5
[3,5,2,8,6,1,4,7]=>0101100=>3
[3,7,2,5,1,4,8,6]=>0101001=>3
[5,1,8,6,2,3,4,7]=>1011000=>6
[2,5,4,1,8,6,3,7]=>0110110=>3
[3,7,6,1,8,2,5,4]=>0110101=>3
[7,6,3,1,8,2,4,5]=>1110100=>7
[8,2,3,6,1,4,7,5]=>1001001=>5
[1,8,2,6,3,4,7,5]=>0101001=>3
[8,1,3,6,4,7,2,5]=>1001010=>5
[7,1,3,6,4,8,2,5]=>1001010=>5
[8,2,1,3,5,7,4,6]=>1100010=>7
[8,2,6,3,1,4,7,5]=>1011001=>5
[7,5,4,1,3,8,2,6]=>1110010=>7
[2,7,5,8,3,4,1,6]=>0101010=>4
[7,3,8,5,4,1,2,6]=>1011100=>5
[7,2,3,6,1,4,8,5]=>1001001=>5
[1,3,7,2,5,8,4,6]=>0010010=>3
[1,7,2,3,5,8,4,6]=>0100010=>4
[7,4,8,1,3,6,2,5]=>1010010=>6
[8,1,2,3,5,7,4,6]=>1000010=>6
[7,1,2,3,5,8,4,6]=>1000010=>6
[8,6,1,4,7,3,2,5]=>1100110=>6
[2,6,3,7,1,4,8,5]=>0101001=>3
[2,6,3,8,1,4,7,5]=>0101001=>3
[7,5,4,8,1,3,2,6]=>1101010=>7
[8,5,4,7,1,3,2,6]=>1101010=>7
[2,3,1,8,5,4,6,7]=>0101100=>3
[8,6,5,1,3,4,2,7]=>1110010=>7
[8,5,1,7,6,3,4,2]=>1101101=>5
[3,4,7,6,1,8,5,2]=>0011011=>1
[3,5,2,6,7,1,8,4]=>0100101=>2
[3,2,8,4,7,5,1,6]=>1010110=>5
[8,4,7,5,1,3,2,6]=>1011010=>6
[3,8,1,6,5,2,7,4]=>0101101=>2
[6,1,2,8,3,4,7,5]=>1001001=>5
[6,8,3,1,7,2,4,5]=>0110100=>4
[3,7,2,5,6,1,8,4]=>0100101=>2
[6,8,4,2,5,1,7,3]=>0110101=>3
[2,7,5,3,8,4,1,6]=>0110110=>3
[8,3,1,4,7,2,6,5]=>1100101=>6
[8,3,2,1,5,7,4,6]=>1110010=>7
[2,8,3,6,4,7,1,5]=>0101010=>4
[7,3,6,4,8,1,2,5]=>1010100=>7
[8,3,6,4,7,1,2,5]=>1010100=>7
[1,2,8,3,5,7,4,6]=>0010010=>3
[1,8,3,2,5,7,4,6]=>0110010=>4
[6,5,1,7,4,2,8,3]=>1101101=>5
[7,3,6,4,8,2,1,5]=>1010110=>5
[4,6,1,7,3,5,2,8]=>0101010=>4
[5,6,1,7,3,4,2,8]=>0101010=>4
[6,1,7,3,4,2,8,5]=>1010101=>4
[7,3,8,1,6,5,2,4]=>1010110=>5
[8,3,7,1,6,5,2,4]=>1010110=>5
[5,1,7,4,2,8,6,3]=>1011011=>3
[2,8,1,7,6,5,3,4]=>0101110=>2
[4,2,8,6,5,1,7,3]=>1011101=>4
[6,4,2,8,5,1,7,3]=>1101101=>5
[8,6,4,7,1,5,2,3]=>1101010=>7
[7,6,4,8,1,5,2,3]=>1101010=>7
[5,1,6,4,2,3,8,7]=>1011001=>5
[4,2,3,8,7,5,1,6]=>1001110=>4
[3,8,7,1,6,5,2,4]=>0110110=>3
[2,4,3,8,1,6,7,5]=>0101001=>3
[2,4,3,7,1,6,8,5]=>0101001=>3
[4,2,3,7,8,5,1,6]=>1000110=>5
[5,1,6,4,2,3,7,8]=>1011000=>6
[6,4,7,8,1,5,2,3]=>1001010=>5
[8,7,4,6,1,5,2,3]=>1101010=>7
[6,5,7,8,1,4,2,3]=>1001010=>5
[4,7,8,6,1,5,2,3]=>0011010=>2
[3,2,4,7,8,1,5,6]=>1000100=>6
[3,2,4,8,7,1,5,6]=>1001100=>6
[4,8,7,6,1,5,2,3]=>0111010=>3
[5,8,7,6,1,4,2,3]=>0111010=>3
[8,6,5,7,1,4,2,3]=>1101010=>7
[5,1,6,7,4,2,3,8]=>1001100=>6
[6,7,4,8,1,5,2,3]=>0101010=>4
[8,4,7,6,1,5,2,3]=>1011010=>6
[8,3,2,4,7,1,5,6]=>1100100=>7
[7,3,2,4,8,1,5,6]=>1100100=>7
[2,5,3,7,1,6,4,8]=>0101010=>4
[8,4,6,7,1,5,2,3]=>1001010=>5
[7,4,6,8,1,5,2,3]=>1001010=>5
[5,1,6,8,4,2,3,7]=>1001100=>6
[4,2,3,7,5,1,6,8]=>1001100=>6
[3,7,5,8,1,6,2,4]=>0101010=>4
[2,4,3,7,1,6,5,8]=>0101010=>4
[2,4,7,1,5,8,6,3]=>0010011=>1
[3,2,4,7,6,1,5,8]=>1001100=>6
[4,7,6,8,1,5,2,3]=>0101010=>4
[8,5,6,7,1,4,2,3]=>1001010=>5
[8,6,7,5,1,4,2,3]=>1011010=>6
[7,6,8,5,1,4,2,3]=>1011010=>6
[6,8,7,5,1,4,2,3]=>0111010=>3
[5,6,8,7,1,4,2,3]=>0011010=>2
[4,6,8,7,1,5,2,3]=>0011010=>2
[2,4,6,7,1,5,8,3]=>0001001=>1
[3,2,4,6,1,5,7,8]=>1001000=>7
[6,7,8,5,1,4,2,3]=>0011010=>2
[7,8,6,5,1,4,2,3]=>0111010=>3
[3,1,7,5,4,2,8,6]=>1011101=>4
[2,1,8,5,4,6,3,7]=>1011010=>6
[4,1,8,5,2,3,6,7]=>1011000=>6
[5,4,1,3,6,7,2,8]=>1100010=>7
[8,4,1,2,6,3,7,5]=>1100101=>6
[8,2,7,1,5,3,4,6]=>1010100=>7
[3,2,7,1,5,8,4,6]=>1010010=>6
[6,3,7,1,5,4,2,8]=>1010110=>5
[7,3,8,1,5,4,2,6]=>1010110=>5
[7,1,5,3,8,4,2,6]=>1010110=>5
[4,5,1,3,6,8,2,7]=>0100010=>4
[3,6,8,1,5,4,2,7]=>0010110=>2
[6,8,3,1,5,4,2,7]=>0110110=>3
[7,6,3,1,5,4,2,8]=>1110110=>7
[3,6,2,1,5,8,4,7]=>0110010=>4
[8,6,2,1,5,3,4,7]=>1110100=>7
[4,8,2,1,7,5,3,6]=>0110110=>3
[2,3,8,1,5,7,4,6]=>0010010=>3
[7,1,3,2,8,6,4,5]=>1010110=>5
[7,1,6,2,8,3,4,5]=>1010100=>7
[4,7,1,2,6,3,8,5]=>0100101=>2
[2,7,8,1,5,3,4,6]=>0010100=>3
[6,7,2,1,5,3,4,8]=>0110100=>4
[4,7,2,1,8,5,3,6]=>0110110=>3
[8,7,2,1,4,5,3,6]=>1110010=>7
[8,7,5,6,1,4,3,2]=>1101011=>5
[5,7,8,6,1,4,3,2]=>0011011=>1
[2,7,4,1,6,5,3,8]=>0110110=>3
[3,7,1,4,5,6,8,2]=>0100001=>4
[7,1,6,4,5,8,3,2]=>1010011=>5
[3,5,1,4,7,6,8,2]=>0100101=>2
[2,6,4,1,7,5,3,8]=>0110110=>3
[5,6,8,7,1,4,3,2]=>0011011=>1
[6,8,5,7,1,4,3,2]=>0101011=>1
[8,6,5,7,1,4,3,2]=>1101011=>5
[8,5,7,6,1,4,3,2]=>1011011=>3
[6,5,7,8,1,4,3,2]=>1001011=>4
[7,2,3,1,5,6,4,8]=>1010010=>6
[4,2,8,1,6,5,3,7]=>1010110=>5
[6,2,4,1,8,5,3,7]=>1010110=>5
[8,3,1,4,5,6,7,2]=>1100001=>6
[5,3,1,4,8,6,7,2]=>1100101=>6
[7,5,1,6,3,4,8,2]=>1101001=>6
[7,1,5,8,4,3,6,2]=>1001101=>4
[5,8,1,6,4,3,7,2]=>0101101=>2
[5,3,1,8,4,6,7,2]=>1101001=>6
[8,3,1,5,4,6,7,2]=>1101001=>6
[8,2,6,1,4,5,3,7]=>1010010=>6
[6,2,8,1,4,5,3,7]=>1010010=>6
[7,2,6,1,5,3,4,8]=>1010100=>7
[2,8,6,1,5,3,4,7]=>0110100=>4
[4,2,1,5,6,3,8,7]=>1100101=>6
[7,1,2,5,8,3,4,6]=>1000100=>6
[7,1,4,5,6,8,3,2]=>1000011=>5
[8,5,6,7,1,4,3,2]=>1001011=>4
[7,6,8,5,1,4,3,2]=>1011011=>3
[6,8,7,5,1,4,3,2]=>0111011=>2
[2,6,7,1,4,5,3,8]=>0010010=>3
[3,5,1,7,4,6,8,2]=>0101001=>3
[7,1,5,6,4,8,3,2]=>1001011=>4
[7,1,6,5,4,8,3,2]=>1011011=>3
[2,7,6,1,4,5,3,8]=>0110010=>4
[5,7,6,8,1,4,3,2]=>0101011=>1
[7,8,6,5,1,4,3,2]=>0111011=>2
[4,3,1,6,5,8,7,2]=>1101011=>5
[5,3,1,2,4,8,7,6]=>1100011=>5
[5,3,6,2,1,8,7,4]=>1011011=>3
[5,3,7,2,1,4,6,8]=>1011000=>6
[5,3,7,2,8,4,1,6]=>1010110=>5
[7,2,4,5,8,3,1,6]=>1000110=>5
[7,2,4,5,1,3,6,8]=>1001000=>7
[6,2,4,5,1,8,7,3]=>1001011=>4
[3,1,4,5,2,8,7,6]=>1001011=>4
[1,6,4,5,2,8,7,3]=>0101011=>1
[3,7,4,5,1,2,6,8]=>0101000=>5
[3,7,4,5,8,2,1,6]=>0100110=>3
[1,7,4,2,6,3,5,8]=>0110100=>4
[8,7,4,5,2,1,6,3]=>1101101=>5
[6,3,7,1,8,4,2,5]=>1010110=>5
[5,7,4,1,6,3,2,8]=>0110110=>3
[1,7,4,8,6,3,2,5]=>0101110=>2
[5,7,4,8,6,3,1,2]=>0101110=>2
[4,8,3,5,6,7,1,2]=>0100010=>4
[1,8,3,5,6,7,2,4]=>0100010=>4
[4,8,1,5,6,7,2,3]=>0100010=>4
[4,1,3,5,6,7,2,8]=>1000010=>6
[5,8,4,3,6,1,2,7]=>0110100=>4
[5,3,8,4,1,7,2,6]=>1011010=>6
[1,5,8,4,6,7,3,2]=>0010011=>1
[1,4,8,3,6,7,5,2]=>0010011=>1
[4,3,8,2,1,7,5,6]=>1011010=>6
[3,8,4,2,6,1,5,7]=>0110100=>4
[1,8,2,5,6,7,4,3]=>0100011=>3
[3,8,1,5,6,7,4,2]=>0100011=>3
[3,8,2,5,6,7,1,4]=>0100010=>4
[8,2,1,5,6,7,4,3]=>1100011=>5
[8,1,3,5,6,7,4,2]=>1000011=>5
[7,1,4,3,6,2,5,8]=>1010100=>7
[7,8,4,3,6,2,1,5]=>0110110=>3
[4,3,1,8,5,7,6,2]=>1101011=>5
[4,3,1,6,8,7,5,2]=>1100111=>4
[6,3,1,8,2,7,4,5]=>1101010=>7
[6,3,5,8,2,7,1,4]=>1001010=>5
[7,5,4,8,6,2,1,3]=>1101110=>6
[7,1,4,8,6,2,3,5]=>1001100=>6
[7,5,4,1,6,2,3,8]=>1110100=>7
[7,6,4,5,8,1,3,2]=>1100101=>6
[1,6,4,5,8,2,3,7]=>0100100=>5
[7,3,6,1,8,2,4,5]=>1010100=>7
[1,7,6,5,8,3,4,2]=>0110101=>3
[1,8,5,3,6,7,4,2]=>0110011=>2
[8,3,5,2,1,7,4,6]=>1011010=>6
[8,4,1,5,6,7,3,2]=>1100011=>5
[8,4,2,5,6,7,1,3]=>1100010=>7
[4,1,8,5,6,7,3,2]=>1010011=>5
[1,2,8,5,6,7,3,4]=>0010010=>3
[4,2,1,5,6,7,3,8]=>1100010=>7
[1,5,3,8,6,7,4,2]=>0101011=>1
[1,4,5,8,6,7,3,2]=>0001011=>1
[4,3,5,8,1,7,2,6]=>1001010=>5
[3,5,4,8,6,1,2,7]=>0101100=>3
[1,4,8,5,6,7,2,3]=>0010010=>3
[3,4,8,5,6,7,1,2]=>0010010=>3
[2,7,1,5,6,3,4,8]=>0100100=>5
[2,7,1,4,3,6,5,8]=>0101010=>4
[4,3,7,2,5,6,8,1]=>1010001=>6
[2,6,3,1,4,5,8,7]=>0110001=>4
[3,7,1,4,2,6,8,5]=>0101001=>3
[3,7,1,5,6,2,8,4]=>0100101=>2
[4,7,1,5,6,8,2,3]=>0100010=>4
[8,5,2,6,7,3,1,4]=>1100110=>6
[8,4,2,6,3,7,1,5]=>1101010=>7
[8,4,2,3,5,7,1,6]=>1100010=>7
[4,7,3,2,5,6,1,8]=>0110010=>4
[5,3,4,6,2,8,1,7]=>1001010=>5
[5,3,7,4,2,8,1,6]=>1011010=>6
[6,4,7,2,3,8,1,5]=>1010010=>6
[6,5,7,2,8,3,1,4]=>1010110=>5
[5,3,7,2,4,8,6,1]=>1010011=>5
[2,6,5,1,8,3,4,7]=>0110100=>4
[8,7,6,1,4,5,2,3]=>1110010=>7
[8,7,6,1,3,2,5,4]=>1110101=>6
[8,7,2,4,3,1,6,5]=>1101101=>5
[8,7,4,5,1,6,2,3]=>1101010=>7
[8,5,6,4,1,7,2,3]=>1011010=>6
[8,5,6,3,1,2,7,4]=>1011001=>5
[8,4,6,2,3,1,7,5]=>1010101=>4
[8,3,5,4,2,1,7,6]=>1011101=>4
[5,7,3,4,2,1,8,6]=>0101101=>2
[6,7,4,2,3,1,8,5]=>0110101=>3
[6,7,5,3,1,2,8,4]=>0111001=>3
[6,7,5,4,1,8,2,3]=>0111010=>3
[10,3,1,2,4,5,6,7,8,9]=>110000000=>9
[10,4,1,2,3,5,6,7,8,9]=>110000000=>9
[5,10,1,2,3,4,6,7,8,9]=>010000000=>8
[10,6,1,2,3,4,5,7,8,9]=>110000000=>9
[10,7,1,2,3,4,5,6,8,9]=>110000000=>9
[8,10,1,2,3,4,5,6,7,9]=>010000000=>8
[2,3,10,1,4,5,6,7,8,9]=>001000000=>7
[4,3,1,10,2,5,6,7,8,9]=>110100000=>9
[5,4,1,2,10,3,6,7,8,9]=>110010000=>9
[5,6,1,2,3,10,4,7,8,9]=>010001000=>7
[7,6,1,2,3,4,10,5,8,9]=>110000100=>9
[8,7,1,2,3,4,5,10,6,9]=>110000010=>9
[8,9,1,2,3,4,5,6,10,7]=>010000001=>6
[6,2,4,3,8,7,5,1]=>1010111=>3
[7,3,5,4,1,8,6,2]=>1011011=>3
[5,2,7,1,3,4,8,6]=>1010001=>6
[2,6,5,7,3,1,4,8]=>0101100=>3
[2,6,5,7,3,1,8,4]=>0101101=>2
[6,3,1,4,7,8,5,2]=>1100011=>5
[6,8,2,1,3,4,5,7]=>0110000=>5
[3,7,1,8,4,5,2,6]=>0101010=>4
[6,3,2,4,7,5,8,1]=>1100101=>6
[6,3,2,4,7,5,1,8]=>1100110=>6
[4,2,1,6,3,7,5,8]=>1101010=>7
[4,2,1,6,3,7,8,5]=>1101001=>6
[7,4,3,5,8,6,1,2]=>1100110=>6
[2,7,6,8,3,1,4,5]=>0101100=>3
[7,4,3,5,8,6,2,1]=>1100111=>4
[4,2,1,7,3,8,6,5]=>1101011=>5
[4,2,1,3,7,8,6,5]=>1100011=>5
[5,8,1,7,4,3,6,2]=>0101101=>2
[5,8,1,7,4,3,2,6]=>0101110=>2
[3,7,8,6,2,1,4,5]=>0011100=>3
[4,2,1,8,3,5,6,7]=>1101000=>7
[4,2,1,3,6,7,5,8]=>1100010=>7
[4,2,1,3,7,5,6,8]=>1100100=>7
[4,2,1,3,6,8,7,5]=>1100011=>5
[7,3,2,4,8,6,5,1]=>1100111=>4
[4,2,1,6,3,8,7,5]=>1101011=>5
[4,2,1,7,3,5,6,8]=>1101000=>7
[3,6,7,5,2,1,4,8]=>0011100=>3
[3,6,7,5,2,1,8,4]=>0011101=>1
[7,3,4,2,6,8,5,1]=>1010011=>5
[4,8,6,2,7,3,5,1]=>0110101=>3
[7,3,4,2,6,8,1,5]=>1010010=>6
[3,6,7,5,2,4,8,1]=>0011001=>2
[3,6,7,5,2,4,1,8]=>0011010=>2
[4,2,1,7,3,6,5,8]=>1101010=>7
[4,2,1,7,3,6,8,5]=>1101001=>6
[3,7,6,8,4,2,5,1]=>0101101=>2
[5,8,1,7,4,2,6,3]=>0101101=>2
[3,7,8,6,2,4,5,1]=>0011001=>2
[4,2,1,3,8,6,7,5]=>1100101=>6
[4,2,1,3,7,6,5,8]=>1100110=>6
[4,2,1,3,5,7,6,8]=>1100010=>7
[4,2,1,3,5,8,6,7]=>1100010=>7
[4,8,1,7,3,6,5,2]=>0101011=>1
[4,7,8,6,3,5,2,1]=>0011011=>1
[4,2,1,8,3,7,6,5]=>1101011=>5
[4,2,1,3,5,6,8,7]=>1100001=>6
[7,8,2,4,1,3,6,5]=>0101001=>3
[2,6,1,5,4,7,8,3]=>0101001=>3
[4,6,3,5,8,7,1,2]=>0100110=>3
[3,5,6,1,4,8,7,2]=>0010011=>1
[2,3,6,8,4,1,5,7]=>0001100=>3
[2,7,5,1,8,3,4,6]=>0110100=>4
[4,7,5,2,1,3,6,8]=>0111000=>4
[3,5,6,2,4,1,7,8]=>0010100=>3
[2,5,6,1,4,8,3,7]=>0010010=>3
[6,7,8,4,1,5,3,2]=>0011011=>1
[7,1,6,8,4,5,3,2]=>1001011=>4
[7,4,6,5,2,8,1,3]=>1011010=>6
[7,1,5,6,4,2,3,8]=>1001100=>6
[5,7,4,6,8,1,3,2]=>0100101=>2
[5,7,8,1,4,6,3,2]=>0010011=>1
[8,1,5,7,4,6,3,2]=>1001011=>4
[1,8,4,6,7,5,3,2]=>0100111=>2
[6,1,8,4,7,5,3,2]=>1010111=>3
[4,5,8,6,1,7,3,2]=>0011011=>1
[4,8,5,1,6,7,3,2]=>0110011=>2
[8,1,4,5,6,7,3,2]=>1000011=>5
[5,6,7,1,4,2,3,8]=>0010100=>3
[8,4,2,6,1,5,7,3]=>1101001=>6
[4,8,5,2,1,6,7,3]=>0111001=>3
[5,1,8,4,2,6,3,7]=>1011010=>6
[1,8,4,6,2,5,3,7]=>0101010=>4
[6,1,5,2,3,4,7,8]=>1010000=>7
[8,3,1,4,6,2,5,7]=>1100100=>7
[3,1,8,2,5,6,4,7]=>1010010=>6
[3,5,1,8,2,6,4,7]=>0101010=>4
[3,5,1,2,8,4,7,6]=>0100101=>2
[2,3,5,8,6,1,7,4]=>0001101=>1
[8,2,4,3,6,7,1,5]=>1010010=>6
[3,2,8,5,7,1,6,4]=>1010101=>4
[3,6,2,8,5,1,7,4]=>0101101=>2
[6,2,1,8,4,7,5,3]=>1101011=>5
[2,8,7,1,4,6,5,3]=>0110011=>2
[8,2,7,1,5,4,6,3]=>1010101=>4
[7,2,5,3,6,8,1,4]=>1010010=>6
[7,3,1,5,6,2,4,8]=>1100100=>7
[3,7,5,1,6,2,4,8]=>0110100=>4
[2,7,3,6,5,8,1,4]=>0101010=>4
[8,7,2,4,1,6,5,3]=>1101011=>5
[1,8,7,2,3,6,5,4]=>0110011=>2
[1,7,8,2,6,4,3,5]=>0010110=>2
[1,7,3,8,2,6,4,5]=>0101010=>4
[1,2,7,3,6,4,5,8]=>0010100=>3
[7,1,5,8,3,2,4,6]=>1001100=>6
[1,6,2,8,4,3,7,5]=>0101101=>2
[1,3,8,7,2,4,6,5]=>0011001=>2
[1,8,3,7,2,5,4,6]=>0101010=>4
[8,1,4,7,3,2,5,6]=>1001100=>6
[4,7,8,1,3,2,5,6]=>0010100=>3
[7,1,4,2,3,5,6,8]=>1010000=>7
[8,2,1,4,7,3,5,6]=>1100100=>7
[2,1,3,8,4,6,7,5]=>1001001=>5
[1,2,3,4,8,5,7,6]=>0000101=>1
[2,4,7,5,6,8,3,1]=>0010011=>1
[2,4,8,7,5,6,3,1]=>0011011=>1
[2,5,3,8,4,7,6,1]=>0101011=>1
[2,8,5,7,3,6,4,1]=>0101011=>1
[3,1,8,5,2,7,6,4]=>1011011=>3
[2,8,6,3,4,5,7,1]=>0110001=>4
[2,5,7,3,4,8,6,1]=>0010011=>1
[8,3,7,6,1,4,5,2]=>1011001=>5
[3,1,7,8,2,5,6,4]=>1001001=>5
[7,3,8,5,1,6,4,2]=>1011011=>3
[7,5,1,2,3,4,8,6]=>1100001=>6
[4,8,1,5,2,7,3,6]=>0101010=>4
[4,1,2,5,3,8,7,6]=>1001011=>4
[4,3,6,8,7,5,1,2]=>1001110=>4
[5,4,1,8,2,7,6,3]=>1101011=>5
[6,4,8,1,2,5,3,7]=>1010010=>6
[6,7,3,1,4,8,5,2]=>0110011=>2
[5,4,1,6,8,2,7,3]=>1100101=>6
[5,4,7,1,2,8,6,3]=>1010011=>5
[6,7,4,1,2,8,3,5]=>0110010=>4
[6,5,1,2,3,7,8,4]=>1100001=>6
[6,5,1,2,3,4,8,7]=>1100001=>6
[6,7,4,1,2,5,3,8]=>0110010=>4
[2,4,6,3,5,7,1,8]=>0010010=>3
[1,4,6,3,7,2,5,8]=>0010100=>3
[8,6,2,5,3,1,7,4]=>1101101=>5
[8,2,3,4,5,1,7,6]=>1000101=>5
[1,8,3,4,2,7,5,6]=>0101010=>4
[2,8,3,4,1,6,7,5]=>0101001=>3
[8,7,2,3,1,6,5,4]=>1101011=>5
[3,8,2,4,6,1,7,5]=>0100101=>2
[7,8,2,4,3,1,6,5]=>0101101=>2
[4,5,8,2,3,1,7,6]=>0010101=>1
[5,1,4,3,7,2,6,8]=>1010100=>7
[6,1,3,5,7,2,4,8]=>1000100=>6
[2,1,4,7,5,3,6,8]=>1001100=>6
[7,1,3,6,2,5,4,8]=>1001010=>5
[8,1,3,6,2,4,7,5]=>1001001=>5
[2,1,8,3,7,5,4,6]=>1010110=>5
[7,1,8,2,5,6,3,4]=>1010010=>6
[6,1,5,8,2,7,3,4]=>1001010=>5
[4,5,2,8,1,6,7,3]=>0101001=>3
[6,2,5,8,1,4,7,3]=>1001001=>5
[3,2,8,5,1,6,7,4]=>1011001=>5
[8,2,7,1,4,6,5,3]=>1010011=>5
[1,3,8,2,5,7,4,6]=>0010010=>3
[2,8,7,1,6,4,5,3]=>0110101=>3
[3,8,7,1,5,6,4,2]=>0110011=>2
[3,4,8,5,6,1,7,2]=>0010101=>1
[8,3,7,4,1,6,5,2]=>1011011=>3
[1,4,8,6,2,7,3,5]=>0011010=>2
[8,4,5,7,1,6,3,2]=>1001011=>4
[3,5,6,8,4,1,7,2]=>0001101=>1
[6,2,3,1,5,4,7,8]=>1010100=>7
[7,2,3,1,4,6,5,8]=>1010010=>6
[8,2,3,1,4,5,7,6]=>1010001=>6
[8,5,1,3,2,4,7,6]=>1101001=>6
[7,5,1,3,2,6,4,8]=>1101010=>7
[2,6,1,4,5,3,7,8]=>0100100=>5
[3,6,4,1,5,2,7,8]=>0110100=>4
[4,5,6,1,3,2,7,8]=>0010100=>3
[4,5,7,1,2,6,3,8]=>0010010=>3
[3,7,4,1,2,6,5,8]=>0110010=>4
[6,7,1,4,2,5,3,8]=>0101010=>4
[2,7,1,3,5,6,4,8]=>0100010=>4
[8,6,1,2,4,3,7,5]=>1100101=>6
[2,8,1,3,4,6,7,5]=>0100001=>4
[7,8,1,2,5,3,6,4]=>0100101=>2
[3,8,4,1,2,5,7,6]=>0110001=>4
[1,2,6,7,5,3,8,4]=>0001101=>1
[1,7,5,3,2,8,4,6]=>0111010=>3
[1,6,7,5,3,8,4,2]=>0011011=>1
[1,6,5,7,2,3,8,4]=>0101001=>3
[1,3,8,2,6,5,7,4]=>0010101=>1
[1,2,5,7,6,3,4,8]=>0001100=>3
[1,3,4,8,2,5,7,6]=>0001001=>1
[1,5,7,6,2,3,4,8]=>0011000=>4
[1,5,3,8,2,6,4,7]=>0101010=>4
[1,4,8,3,2,5,7,6]=>0011001=>2
[1,4,8,3,5,7,6,2]=>0010011=>1
[1,2,4,8,3,5,7,6]=>0001001=>1
[1,3,8,4,2,6,7,5]=>0011001=>2
[1,4,8,2,3,5,7,6]=>0010001=>2
[6,5,7,3,8,2,4,1]=>1010101=>4
[4,2,6,7,5,8,3,1]=>1001011=>4
[6,7,5,2,1,8,4,3]=>0111011=>2
[3,4,8,7,5,2,1,6]=>0011110=>2
[1,7,5,2,8,4,6,3]=>0110101=>3
[5,6,8,3,1,7,2,4]=>0011010=>2
[6,1,4,8,3,2,7,5]=>1001101=>4
[3,4,7,1,8,6,2,5]=>0010110=>2
[3,4,6,8,2,1,5,7]=>0001100=>3
[3,8,2,5,6,1,4,7]=>0100100=>5
[3,5,2,8,6,4,1,7]=>0101110=>2
[4,2,5,7,3,8,6,1]=>1001011=>4
[7,4,2,5,3,8,1,6]=>1101010=>7
[3,1,2,8,5,6,4,7]=>1001010=>5
[5,2,1,6,8,3,4,7]=>1100100=>7
[5,2,6,8,4,1,3,7]=>1001100=>6
[1,5,6,8,3,4,2,7]=>0001010=>2
[4,5,8,1,6,3,2,7]=>0010110=>2
[4,5,1,6,8,3,2,7]=>0100110=>3
[4,5,7,3,8,2,6,1]=>0010101=>1
[6,4,3,7,8,2,5,1]=>1100101=>6
[6,4,3,1,7,8,2,5]=>1110010=>7
[4,5,3,1,7,8,2,6]=>0110010=>4
[7,1,3,5,4,8,2,6]=>1001010=>5
[7,5,2,8,1,4,3,6]=>1101010=>7
[5,7,3,8,4,6,1,2]=>0101010=>4
[1,4,5,7,3,8,6,2]=>0001011=>1
[4,6,3,7,8,5,2,1]=>0100111=>2
[5,3,6,7,8,4,2,1]=>1000111=>4
[1,5,3,6,7,8,4,2]=>0100011=>3
[4,6,1,7,3,8,5,2]=>0101011=>1
[6,3,7,1,8,4,5,2]=>1010101=>4
[6,7,2,4,8,1,5,3]=>0100101=>2
[2,6,1,4,7,3,8,5]=>0100101=>2
[3,2,5,6,7,8,1,4]=>1000010=>6
[5,2,3,6,7,8,4,1]=>1000011=>5
[6,7,1,3,2,8,4,5]=>0101010=>4
[6,2,7,1,3,4,8,5]=>1010001=>6
[5,2,1,7,3,8,4,6]=>1101010=>7
[6,4,2,7,1,8,3,5]=>1101010=>7
[4,2,6,3,7,8,1,5]=>1010010=>6
[4,2,6,3,7,8,5,1]=>1010011=>5
[6,7,3,8,2,4,5,1]=>0101001=>3
[3,6,2,7,4,1,8,5]=>0101101=>2
[6,7,3,2,1,4,8,5]=>0111001=>3
[7,1,8,3,4,2,5,6]=>1010100=>7
[7,2,4,1,8,3,5,6]=>1010100=>7
[7,2,4,8,6,1,3,5]=>1001100=>6
[7,3,4,8,6,2,1,5]=>1001110=>4
[3,5,7,2,1,8,6,4]=>0011011=>1
[6,7,8,3,2,5,1,4]=>0011010=>2
[6,3,7,8,2,5,4,1]=>1001011=>4
[2,6,7,4,8,5,3,1]=>0010111=>1
[6,2,4,7,1,8,5,3]=>1001011=>4
[4,6,2,7,1,8,5,3]=>0101011=>1
[1,7,4,8,5,2,6,3]=>0101101=>2
[1,3,7,8,5,2,6,4]=>0001101=>1
[2,5,7,8,1,6,3,4]=>0001010=>2
[6,3,7,1,8,2,5,4]=>1010101=>4
[1,6,4,7,8,2,5,3]=>0100101=>2
[2,5,6,1,7,8,4,3]=>0010011=>1
[5,6,1,2,7,8,4,3]=>0100011=>3
[6,7,2,1,8,5,3,4]=>0110110=>3
[6,7,2,8,5,4,1,3]=>0101110=>2
[1,6,7,4,8,5,3,2]=>0010111=>1
[1,8,2,4,6,3,5,7]=>0100100=>5
[1,5,7,4,3,6,2,8]=>0011010=>2
[1,8,4,5,3,6,2,7]=>0101010=>4
[1,8,5,3,4,7,2,6]=>0110010=>4
[1,8,2,4,6,3,7,5]=>0100101=>2
[1,8,2,5,4,6,7,3]=>0101001=>3
[3,6,2,7,1,4,5,8]=>0101000=>5
[1,4,7,5,2,6,8,3]=>0011001=>2
[4,6,5,3,7,1,8,2]=>0110101=>3
[4,2,3,8,6,7,1,5]=>1001010=>5
[5,2,4,8,1,3,7,6]=>1001001=>5
[6,2,5,4,8,3,7,1]=>1010101=>4
[6,4,3,5,8,2,7,1]=>1100101=>6
[5,2,3,4,8,1,6,7]=>1000100=>6
[3,5,2,4,7,1,6,8]=>0100100=>5
[5,3,4,8,1,6,2,7]=>1001010=>5
[4,5,3,7,1,6,2,8]=>0101010=>4
[6,2,4,8,5,1,3,7]=>1001100=>6
[7,6,3,8,5,1,2,4]=>1101100=>7
[4,2,6,7,3,8,1,5]=>1001010=>5
[1,5,7,4,2,8,6,3]=>0011011=>1
[1,3,7,2,8,6,4,5]=>0010110=>2
[1,4,3,7,8,6,2,5]=>0100110=>3
[1,5,3,6,8,2,7,4]=>0100101=>2
[4,3,6,5,7,8,1,2]=>1010010=>6
[4,2,3,5,6,8,1,7]=>1000010=>6
[4,2,6,7,3,8,5,1]=>1001011=>4
[3,2,5,6,8,1,7,4]=>1000101=>5
[6,4,5,2,3,8,7,1]=>1010011=>5
[8,4,6,7,5,2,3,1]=>1001101=>4
[4,6,5,2,3,1,8,7]=>0110101=>3
[6,4,2,5,3,1,8,7]=>1101101=>5
[6,4,2,5,3,8,7,1]=>1101011=>5
[8,6,4,7,5,2,3,1]=>1101101=>5
[8,6,2,7,4,5,3,1]=>1101011=>5
[6,4,2,5,8,7,3,1]=>1100111=>4
[4,6,2,5,3,8,7,1]=>0101011=>1
[4,6,5,2,3,8,7,1]=>0110011=>2
[6,8,7,4,5,2,3,1]=>0110101=>3
[4,8,6,7,5,2,3,1]=>0101101=>2
[6,8,4,7,5,2,3,1]=>0101101=>2
[6,8,2,7,4,5,3,1]=>0101011=>1
[8,6,4,7,2,5,3,1]=>1101011=>5
[8,6,2,4,7,5,3,1]=>1100111=>4
[6,8,2,4,7,5,3,1]=>0100111=>2
[4,8,2,6,7,5,3,1]=>0100111=>2
[2,8,4,6,7,5,3,1]=>0100111=>2
[2,8,6,7,4,5,3,1]=>0101011=>1
[6,8,7,2,4,5,3,1]=>0110011=>2
[2,6,4,5,8,7,3,1]=>0100111=>2
[2,6,4,8,7,5,3,1]=>0101111=>1
[4,6,2,8,7,5,3,1]=>0101111=>1
[8,2,4,6,7,5,3,1]=>1000111=>4
[6,2,4,8,7,5,3,1]=>1001111=>3
[4,2,6,8,7,5,3,1]=>1001111=>3
[4,2,6,5,8,7,3,1]=>1010111=>3
[6,2,4,5,8,7,3,1]=>1000111=>4
[8,2,6,7,4,5,3,1]=>1001011=>4
[8,6,7,2,4,5,3,1]=>1010011=>5
[6,4,5,2,8,7,3,1]=>1010111=>3
[4,2,3,6,8,7,5,1]=>1000111=>4
[6,4,5,8,7,2,3,1]=>1001101=>4
[8,6,7,4,2,5,3,1]=>1011011=>3
[8,4,6,7,2,5,3,1]=>1001011=>4
[6,4,8,7,2,5,3,1]=>1011011=>3
[6,2,8,7,4,5,3,1]=>1011011=>3
[6,4,8,7,5,2,3,1]=>1011101=>4
[4,6,8,7,5,2,3,1]=>0011101=>1
[4,6,5,8,7,2,3,1]=>0101101=>2
[2,1,6,8,7,4,5,3]=>1001101=>4
[2,6,8,7,4,5,3,1]=>0011011=>1
[2,4,8,6,7,5,3,1]=>0010111=>1
[4,2,8,6,7,5,3,1]=>1010111=>3
[6,2,8,4,7,5,3,1]=>1010111=>3
[8,2,6,4,7,5,3,1]=>1010111=>3
[6,4,8,2,7,5,3,1]=>1010111=>3
[4,6,8,2,7,5,3,1]=>0010111=>1
[2,6,8,4,7,5,3,1]=>0010111=>1
[4,6,8,7,2,5,3,1]=>0011011=>1
[4,6,5,8,2,7,3,1]=>0101011=>1
[2,1,6,8,4,7,5,3]=>1001011=>4
[2,1,8,6,4,7,5,3]=>1011011=>3
[6,8,7,4,2,5,3,1]=>0111011=>2
[2,8,6,4,7,5,3,1]=>0110111=>1
[4,8,6,2,7,5,3,1]=>0110111=>1
[9,8,7,3,6,2,5,1,4]=>11101010=>8
[9,8,7,6,3,5,1,2,4]=>11110100=>8
[9,4,8,3,7,2,6,1,5]=>10101010=>8
[9,8,4,7,3,6,1,2,5]=>11010100=>8
[9,8,7,2,4,6,1,3,5]=>11100100=>8
[9,8,7,4,6,1,2,3,5]=>11101000=>8
[5,9,4,8,3,7,1,2,6]=>01010100=>5
[9,5,8,2,4,7,1,3,6]=>10100100=>8
[9,5,8,4,7,1,2,3,6]=>10101000=>8
[9,8,3,5,7,1,2,4,6]=>11001000=>8
[9,8,5,7,1,2,3,4,6]=>11010000=>8
[6,9,3,5,8,1,2,4,7]=>01001000=>6
[6,9,5,8,1,2,3,4,7]=>01010000=>6
[9,2,4,6,8,1,3,5,7]=>10001000=>8
[9,4,6,8,1,2,3,5,7]=>10010000=>8
[9,6,8,1,2,3,4,5,7]=>10100000=>8
[3,5,7,9,1,2,4,6,8]=>00010000=>5
[5,7,9,1,2,3,4,6,8]=>00100000=>6
[7,9,1,2,3,4,5,6,8]=>01000000=>7
[10,9,8,7,6,5,2,4,1,3]=>111111010=>9
[10,9,8,7,3,6,2,5,1,4]=>111101010=>9
[10,9,8,7,6,3,5,1,2,4]=>111110100=>9
[10,9,4,8,3,7,2,6,1,5]=>110101010=>9
[10,9,8,4,7,3,6,1,2,5]=>111010100=>9
[10,9,8,7,2,4,6,1,3,5]=>111100100=>9
[10,9,8,7,4,6,1,2,3,5]=>111101000=>9
[10,5,9,4,8,3,7,1,2,6]=>101010100=>9
[10,9,5,8,2,4,7,1,3,6]=>110100100=>9
[10,9,5,8,4,7,1,2,3,6]=>110101000=>9
[10,9,8,3,5,7,1,2,4,6]=>111001000=>9
[10,9,8,5,7,1,2,3,4,6]=>111010000=>9
[6,10,5,9,2,4,8,1,3,7]=>010100100=>6
[6,10,5,9,4,8,1,2,3,7]=>010101000=>6
[10,3,6,9,2,5,8,1,4,7]=>100100100=>9
[10,6,9,3,5,8,1,2,4,7]=>101001000=>9
[10,6,9,5,8,1,2,3,4,7]=>101010000=>9
[10,9,2,4,6,8,1,3,5,7]=>110001000=>9
[10,9,4,6,8,1,2,3,5,7]=>110010000=>9
[10,9,6,8,1,2,3,4,5,7]=>110100000=>9
[4,7,10,3,6,9,1,2,5,8]=>001001000=>5
[7,10,2,4,6,9,1,3,5,8]=>010001000=>7
[7,10,4,6,9,1,2,3,5,8]=>010010000=>7
[7,10,6,9,1,2,3,4,5,8]=>010100000=>7
[10,3,5,7,9,1,2,4,6,8]=>100010000=>9
[10,5,7,9,1,2,3,4,6,8]=>100100000=>9
[10,7,9,1,2,3,4,5,6,8]=>101000000=>9
[4,6,8,10,1,2,3,5,7,9]=>000100000=>6
[6,8,10,1,2,3,4,5,7,9]=>001000000=>7
[4,2,5,6,3,8,1,7]=>1001010=>5
[6,2,5,7,4,8,3,1]=>1001011=>4
[8,5,2,1,4,7,6,3]=>1110011=>5
[6,7,3,2,5,8,4,1]=>0110011=>2
[3,2,6,4,8,1,5,7]=>1010100=>7
[2,3,6,4,7,8,5,1]=>0010011=>1
[7,5,1,8,3,4,6,2]=>1101001=>6
[5,7,8,2,6,3,4,1]=>0010101=>1
[7,1,6,3,5,8,4,2]=>1010011=>5
[6,3,1,7,8,4,5,2]=>1100101=>6
[5,3,6,7,4,1,8,2]=>1001101=>4
[7,3,1,2,5,8,6,4]=>1100011=>5
[1,6,3,5,2,4,8,7]=>0101001=>3
[3,4,8,2,7,5,1,6]=>0010110=>2
[6,3,2,8,5,7,4,1]=>1101011=>5
[3,8,4,7,2,5,6,1]=>0101001=>3
[2,4,8,1,5,3,7,6]=>0010101=>1
[3,4,8,1,6,2,7,5]=>0010101=>1
[1,8,4,6,7,3,5,2]=>0100101=>2
[8,1,6,3,4,5,7,2]=>1010001=>6
[7,6,5,4,1,2,8,3]=>1111001=>6
[5,7,6,8,3,4,2,1]=>0101011=>1
[2,8,1,6,5,7,4,3]=>0101011=>1
[4,6,8,2,5,3,7,1]=>0010101=>1
[5,2,3,7,6,1,8,4]=>1001101=>4
[8,1,2,4,6,7,3,5]=>1000010=>6
[5,2,3,7,4,8,6,1]=>1001011=>4
[5,2,6,8,4,3,1,7]=>1001110=>4
[7,8,1,5,4,3,6,2]=>0101101=>2
[7,2,4,8,5,3,6,1]=>1001101=>4
[3,7,5,1,8,4,6,2]=>0110101=>3
[2,7,8,5,4,6,1,3]=>0011010=>2
[5,7,4,3,8,6,2,1]=>0110111=>1
[4,8,1,6,3,5,2,7]=>0101010=>4
[8,3,1,7,4,2,5,6]=>1101100=>7
[3,1,8,2,4,5,7,6]=>1010001=>6
[8,1,3,7,6,2,4,5]=>1001100=>6
[2,3,6,8,7,1,4,5]=>0001100=>3
[4,3,2,8,5,7,1,6]=>1101010=>7
[3,6,4,2,8,5,7,1]=>0110101=>3
[4,7,3,2,5,1,8,6]=>0110101=>3
[3,2,4,7,5,8,6,1]=>1001011=>4
[4,2,3,8,6,5,1,7]=>1001110=>4
[2,4,3,5,1,8,6,7]=>0101010=>4
[3,2,8,1,4,6,5,7]=>1010010=>6
[3,7,8,5,6,1,2,4]=>0010100=>3
[3,6,1,8,4,7,2,5]=>0101010=>4
[3,1,6,8,4,7,2,5]=>1001010=>5
[4,1,6,8,3,2,7,5]=>1001101=>4
[4,6,1,8,3,2,7,5]=>0101101=>2
[4,7,8,1,3,2,6,5]=>0010101=>1
[4,7,8,3,1,2,6,5]=>0011001=>2
[2,7,8,3,4,6,5,1]=>0010011=>1
[4,7,8,2,1,3,6,5]=>0011001=>2
[4,6,1,8,2,3,7,5]=>0101001=>3
[4,1,6,8,2,3,7,5]=>1001001=>5
[4,5,1,2,8,3,7,6]=>0100101=>2
[4,5,2,1,8,3,7,6]=>0110101=>3
[4,6,2,8,1,3,7,5]=>0101001=>3
[3,6,2,8,4,7,1,5]=>0101010=>4
[2,3,6,8,4,7,5,1]=>0001011=>1
[3,2,6,8,4,7,1,5]=>1001010=>5
[4,2,6,8,3,1,7,5]=>1001101=>4
[4,2,5,1,8,3,7,6]=>1010101=>4
[4,1,2,5,8,3,7,6]=>1000101=>5
[5,1,2,4,3,8,7,6]=>1001011=>4
[5,2,4,1,3,8,7,6]=>1010011=>5
[4,2,5,3,8,1,7,6]=>1010101=>4
[3,2,5,4,8,7,1,6]=>1010110=>5
[3,5,2,4,8,7,1,6]=>0100110=>3
[5,4,2,1,3,8,7,6]=>1110011=>5
[5,1,4,2,3,8,7,6]=>1010011=>5
[5,4,1,3,2,8,7,6]=>1101011=>5
[5,4,3,1,2,8,7,6]=>1110011=>5
[4,5,3,1,8,2,7,6]=>0110101=>3
[4,5,1,3,8,2,7,6]=>0100101=>2
[3,1,5,4,8,7,2,6]=>1010110=>5
[3,5,1,4,8,7,2,6]=>0100110=>3
[3,5,4,1,8,7,2,6]=>0110110=>3
[3,6,5,8,7,1,2,4]=>0101100=>3
[2,5,6,8,7,3,4,1]=>0001101=>1
[3,4,5,1,8,7,2,6]=>0010110=>2
[3,4,1,5,8,7,2,6]=>0100110=>3
[4,1,3,5,8,2,7,6]=>1000101=>5
[4,3,6,8,2,1,7,5]=>1001101=>4
[2,4,6,8,3,7,5,1]=>0001011=>1
[3,4,5,2,8,7,1,6]=>0010110=>2
[5,3,1,4,2,8,7,6]=>1101011=>5
[5,1,3,4,2,8,7,6]=>1001011=>4
[5,1,3,2,4,8,7,6]=>1010011=>5
[5,3,2,1,4,8,7,6]=>1110011=>5
[4,3,2,5,8,1,7,6]=>1100101=>6
[3,4,2,5,8,7,1,6]=>0100110=>3
[3,2,4,5,8,7,1,6]=>1000110=>5
[4,2,3,5,8,1,7,6]=>1000101=>5
[5,2,3,1,4,8,7,6]=>1010011=>5
[5,2,1,3,4,8,7,6]=>1100011=>5
[5,1,2,3,4,8,7,6]=>1000011=>5
[8,6,2,5,4,1,3,7]=>1101100=>7
[6,5,7,4,2,8,3,1]=>1011011=>3
[6,7,5,3,8,2,4,1]=>0110101=>3
[8,2,1,6,3,4,5,7]=>1101000=>7
[8,3,5,6,2,4,1,7]=>1001010=>5
[8,6,2,1,3,5,4,7]=>1110010=>7
[8,1,2,3,4,6,5,7]=>1000010=>6
[6,2,3,7,8,4,5,1]=>1000101=>5
[7,5,8,2,6,3,4,1]=>1010101=>4
[7,3,1,6,5,8,4,2]=>1101011=>5
[1,5,6,7,3,4,8,2]=>0001001=>1
[6,7,8,2,1,4,5,3]=>0011001=>2
[8,4,7,6,2,1,3,5]=>1011100=>5
[5,3,8,4,7,2,6,1]=>1010101=>4
[8,1,3,7,6,4,2,5]=>1001110=>4
[5,3,1,7,8,6,2,4]=>1100110=>6
[3,5,8,2,7,1,6,4]=>0010101=>1
[6,2,8,5,3,1,7,4]=>1011101=>4
[8,2,6,4,7,1,3,5]=>1010100=>7
[3,4,2,8,5,1,7,6]=>0101101=>2
[3,8,6,5,2,1,7,4]=>0111101=>2
[8,3,7,4,2,5,6,1]=>1011001=>5
[4,8,5,7,2,1,3,6]=>0101100=>3
[3,4,1,8,2,6,7,5]=>0101001=>3
[8,4,6,3,7,1,5,2]=>1010101=>4
[6,8,3,4,1,5,7,2]=>0101001=>3
[5,1,7,6,2,8,4,3]=>1011011=>3
[6,8,2,5,7,4,1,3]=>0100110=>3
[2,8,5,6,7,1,3,4]=>0100100=>5
[2,5,7,6,3,1,8,4]=>0011101=>1
[4,2,8,3,1,5,6,7]=>1011000=>6
[2,5,7,3,8,4,6,1]=>0010101=>1
[4,2,7,1,8,5,3,6]=>1010110=>5
[4,2,1,8,7,5,6,3]=>1101101=>5
[8,3,6,7,1,5,4,2]=>1001011=>4
[1,3,7,5,8,6,4,2]=>0010111=>1
[5,7,8,4,3,1,6,2]=>0011101=>1
[2,7,4,5,8,3,6,1]=>0100101=>2
[3,5,7,1,4,8,6,2]=>0010011=>1
[7,2,8,5,1,4,6,3]=>1011001=>5
[1,6,5,3,8,4,2,7]=>0110110=>3
[5,7,4,8,3,6,2,1]=>0101011=>1
[4,8,6,1,3,5,2,7]=>0110010=>4
[1,8,3,2,4,7,5,6]=>0110010=>4
[8,4,3,2,5,7,1,6]=>1110010=>7
[3,6,4,8,2,5,7,1]=>0101001=>3
[4,3,7,2,5,8,1,6]=>1010010=>6
[3,2,4,7,8,5,6,1]=>1000101=>5
[2,6,4,3,8,5,1,7]=>0110110=>3
[3,8,2,1,6,4,5,7]=>0110100=>4
[8,2,1,3,4,5,7,6]=>1100001=>6
[4,6,8,3,2,1,5,7]=>0011100=>3
[3,2,6,8,5,4,1,7]=>1001110=>4
[7,3,8,2,5,4,1,6]=>1010110=>5
[4,2,5,3,8,7,6,1]=>1010111=>3
[4,8,2,6,5,3,1,7]=>0101110=>2
[2,6,8,5,4,1,3,7]=>0011100=>3
[3,1,8,6,5,4,2,7]=>1011110=>4
[5,4,8,7,3,2,6,1]=>1011101=>4
[6,4,8,3,7,2,5,1]=>1010101=>4
[4,7,3,6,2,1,8,5]=>0101101=>2
[5,4,3,7,1,8,2,6]=>1101010=>7
[7,3,8,5,1,4,2,6]=>1011010=>6
[5,4,8,7,6,2,1,3]=>1011110=>4
[3,8,1,5,7,4,6,2]=>0100101=>2
[4,8,5,7,3,1,6,2]=>0101101=>2
[1,5,4,8,3,7,6,2]=>0101011=>1
[4,8,3,6,7,1,5,2]=>0100101=>2
[4,7,8,3,1,6,5,2]=>0011011=>1
[8,7,5,3,6,4,2,1]=>1110111=>4
[4,6,1,3,8,7,5,2]=>0100111=>2
[6,8,2,1,7,4,5,3]=>0110101=>3
[3,7,1,6,4,2,8,5]=>0101101=>2
[3,1,2,7,5,6,8,4]=>1001001=>5
[3,6,1,2,7,5,8,4]=>0100101=>2
[3,7,6,2,5,8,1,4]=>0110010=>4
[3,6,2,5,8,7,4,1]=>0100111=>2
[8,5,2,3,6,7,4,1]=>1100011=>5
[4,7,2,6,3,8,1,5]=>0101010=>4
[6,3,2,4,8,7,5,1]=>1100111=>4
[3,7,2,4,6,1,8,5]=>0100101=>2
[5,3,7,2,8,1,4,6]=>1010100=>7
[6,3,2,8,7,5,1,4]=>1101110=>6
[7,3,8,2,6,5,1,4]=>1010110=>5
[6,4,8,7,2,5,1,3]=>1011010=>6
[2,5,4,8,1,7,6,3]=>0101011=>1
[5,2,8,1,7,6,3,4]=>1010110=>5
[6,2,1,3,8,7,5,4]=>1100111=>4
[3,6,1,8,7,5,2,4]=>0101110=>2
[5,6,1,2,8,7,4,3]=>0100111=>2
[7,5,2,8,1,6,4,3]=>1101011=>5
[2,7,6,8,1,5,4,3]=>0101011=>1
[7,8,5,1,6,2,4,3]=>0110101=>3
[7,4,8,6,1,2,5,3]=>1011001=>5
[7,2,1,8,3,6,5,4]=>1101011=>5
[5,8,7,1,6,4,3,2]=>0110111=>1
[7,6,5,4,3,2,9,8,1]=>11111011=>6
[11,9,8,7,6,5,4,3,2,1,10]=>1111111110=>10
[10,7,6,5,4,3,2,1,9,8]=>111111101=>8
[9,6,5,4,3,2,8,1,7]=>11111010=>8
[9,7,5,4,3,2,1,8,6]=>11111101=>7
[8,5,4,3,7,2,1,6]=>1110110=>7
[6,5,4,8,3,2,7,1]=>1101101=>5
[7,6,5,4,3,9,2,8,1]=>11110101=>7
[7,6,4,3,2,8,5,1]=>1111011=>5
[8,6,5,4,3,2,9,7,1]=>11111011=>6
[8,7,6,5,4,3,2,10,9,1]=>111111011=>7
[10,9,8,7,6,5,4,3,2,11,1]=>1111111101=>9
[7,3,1,4,8,2,5,6]=>1100100=>7
[7,4,1,2,5,8,3,6]=>1100010=>7
[6,7,4,2,5,1,3,8]=>0110100=>4
[5,7,2,4,6,8,1,3]=>0100010=>4
[4,7,5,1,6,2,8,3]=>0110101=>3
[5,7,4,6,3,1,8,2]=>0101101=>2
[7,5,1,4,3,2,8,6]=>1101101=>5
[8,6,4,2,3,7,5,1]=>1110011=>5
[6,4,7,1,3,8,5,2]=>1010011=>5
[5,4,2,7,3,1,6,8]=>1101100=>7
[4,5,1,2,7,6,8,3]=>0100101=>2
[5,4,6,8,3,1,2,7]=>1001100=>6
[6,4,8,1,3,7,2,5]=>1010010=>6
[4,6,1,3,8,5,2,7]=>0100110=>3
[1,3,8,4,5,7,2,6]=>0010010=>3
[2,6,7,4,5,3,1,8]=>0010110=>2
[2,6,8,4,3,5,1,7]=>0011010=>2
[1,3,7,4,2,8,5,6]=>0011010=>2
[4,6,1,3,7,2,5,8]=>0100100=>5
[7,5,8,6,2,1,3,4]=>1011100=>5
[2,8,1,3,6,5,4,7]=>0100110=>3
[2,8,7,3,5,4,1,6]=>0110110=>3
[3,4,2,6,8,7,1,5]=>0100110=>3
[7,4,2,3,6,1,8,5]=>1100101=>6
[8,4,2,3,6,5,7,1]=>1100101=>6
[7,3,8,4,1,2,6,5]=>1011001=>5
[6,8,3,2,7,1,5,4]=>0110101=>3
[2,8,5,6,3,7,1,4]=>0101010=>4
[7,4,2,5,8,1,6,3]=>1100101=>6
[2,7,8,3,4,5,1,6]=>0010010=>3
[3,7,1,2,4,6,5,8]=>0100010=>4
[7,5,6,8,2,1,4,3]=>1001101=>4
[3,1,6,5,2,7,4,8]=>1011010=>6
[2,8,6,5,3,4,1,7]=>0111010=>3
[1,7,2,3,5,6,8,4]=>0100001=>4
[3,7,4,2,1,5,6,8]=>0111000=>4
[3,4,6,2,8,5,7,1]=>0010101=>1
[4,2,1,7,5,8,3,6]=>1101010=>7
[4,7,2,6,5,1,3,8]=>0101100=>3
[3,7,4,1,2,5,8,6]=>0110001=>4
[4,7,1,6,5,2,8,3]=>0101101=>2
[4,7,3,6,5,1,8,2]=>0101101=>2
[4,3,7,1,6,8,5,2]=>1010011=>5
[4,2,1,7,5,6,8,3]=>1101001=>6
[3,2,4,8,6,7,1,5]=>1001010=>5
[4,2,6,8,7,3,1,5]=>1001110=>4
[3,4,6,1,8,5,2,7]=>0010110=>2
[4,1,6,7,5,8,2,3]=>1001010=>5
[4,3,6,7,5,1,2,8]=>1001100=>6
[4,3,7,1,6,8,2,5]=>1010010=>6
[4,3,7,5,6,8,2,1]=>1010011=>5
[4,1,7,3,6,5,2,8]=>1010110=>5
[2,8,7,4,5,3,1,6]=>0110110=>3
[2,8,7,4,3,5,1,6]=>0111010=>3
[3,8,1,4,2,6,5,7]=>0101010=>4
[4,1,7,3,6,2,5,8]=>1010100=>7
[5,8,7,6,1,2,4,3]=>0111001=>3
[5,8,7,6,2,1,3,4]=>0111100=>3
[4,1,7,2,6,8,5,3]=>1010011=>5
[4,2,7,3,6,1,8,5]=>1010101=>4
[4,2,7,3,6,5,8,1]=>1010101=>4
[3,8,2,4,5,6,7,1]=>0100001=>4
[3,8,2,4,1,6,7,5]=>0101001=>3
[3,8,5,6,2,4,1,7]=>0101010=>4
[2,8,6,5,3,7,1,4]=>0111010=>3
[3,8,6,5,1,4,7,2]=>0111001=>3
[3,8,2,1,4,6,7,5]=>0110001=>4
[3,8,2,5,4,6,7,1]=>0101001=>3
[4,2,7,5,6,3,8,1]=>1010101=>4
[4,2,7,5,6,1,8,3]=>1010101=>4
[4,2,6,7,5,3,1,8]=>1001110=>4
[3,2,6,1,4,5,8,7]=>1010001=>6
[2,8,7,3,4,5,1,6]=>0110010=>4
[3,8,1,2,4,6,5,7]=>0100010=>4
[5,8,7,6,1,3,4,2]=>0111001=>3
[5,8,7,6,2,3,4,1]=>0111001=>3
[4,1,7,5,6,2,3,8]=>1010100=>7
[3,8,1,5,2,6,4,7]=>0101010=>4
[2,8,7,5,3,4,1,6]=>0111010=>3
[2,8,7,5,4,3,1,6]=>0111110=>2
[4,1,7,5,6,3,2,8]=>1010110=>5
[5,8,7,6,1,3,2,4]=>0111010=>3
[5,8,7,6,4,1,2,3]=>0111100=>3
[5,4,2,3,7,6,8,1]=>1100101=>6
[7,4,3,5,2,8,1,6]=>1101010=>7
[8,4,3,7,5,1,6,2]=>1101101=>5
[8,4,7,2,5,1,6,3]=>1010101=>4
[7,4,6,2,3,5,8,1]=>1010001=>6
[5,1,7,2,4,6,8,3]=>1010001=>6
[4,5,7,1,2,6,8,3]=>0010001=>2
[5,4,1,7,3,6,8,2]=>1101001=>6
[3,6,4,7,5,2,8,1]=>0101101=>2
[3,4,7,6,2,5,8,1]=>0011001=>2
[4,7,5,6,1,3,8,2]=>0101001=>3
[5,7,6,4,3,1,8,2]=>0111101=>2
[5,7,6,3,1,4,8,2]=>0111001=>3
[7,5,2,3,4,8,1,6]=>1100010=>7
[8,7,5,3,4,1,6,2]=>1110101=>6
[6,7,1,3,8,4,2,5]=>0100110=>3
[7,6,1,3,4,8,5,2]=>1100011=>5
[3,6,5,2,7,8,1,4]=>0110010=>4
[3,2,8,6,7,1,4,5]=>1010100=>7
[4,8,3,6,5,2,1,7]=>0101110=>2
[1,8,6,5,4,2,3,7]=>0111100=>3
[1,8,7,2,3,5,4,6]=>0110010=>4
[1,8,7,2,5,3,4,6]=>0110100=>4
[3,6,8,5,1,2,4,7]=>0011000=>4
[3,7,5,1,8,2,6,4]=>0110101=>3
[7,1,2,8,3,5,6,4]=>1001001=>5
[6,1,7,8,2,5,3,4]=>1001010=>5
[6,7,5,2,8,1,4,3]=>0110101=>3
[7,1,4,5,8,6,2,3]=>1000110=>5
[5,7,6,4,2,8,1,3]=>0111010=>3
[7,5,6,1,2,8,4,3]=>1010011=>5
[4,1,3,7,8,6,2,5]=>1000110=>5
[5,1,4,3,6,8,7,2]=>1010011=>5
[4,5,7,6,8,2,1,3]=>0010110=>2
[5,7,6,8,4,2,1,3]=>0101110=>2
[5,1,6,8,4,2,7,3]=>1001101=>4
[7,4,8,2,3,6,5,1]=>1010011=>5
[5,6,8,4,7,3,2,1]=>0010111=>1
[6,4,7,8,5,2,1,3]=>1001110=>4
[3,6,4,8,5,1,2,7]=>0101100=>3
[3,7,4,8,1,2,5,6]=>0101000=>5
[7,4,3,8,2,6,5,1]=>1101011=>5
[7,6,8,3,2,5,4,1]=>1011011=>3
[8,7,1,3,5,4,6,2]=>1100101=>6
[7,1,8,3,4,2,6,5]=>1010101=>4
[7,6,8,3,1,4,5,2]=>1011001=>5
[3,1,4,8,2,5,7,6]=>1001001=>5
[4,8,5,2,1,3,6,7]=>0111000=>4
[5,8,2,6,3,1,4,7]=>0101100=>3
[6,8,2,3,7,4,1,5]=>0100110=>3
[7,8,2,3,4,6,5,1]=>0100011=>3
[8,1,7,2,4,5,3,6]=>1010010=>6
[8,1,3,6,2,5,4,7]=>1001010=>5
[7,2,1,6,3,5,4,8]=>1101010=>7
[2,7,1,6,3,5,4,8]=>0101010=>4
[2,7,1,5,4,3,6,8]=>0101100=>3
[7,2,1,5,4,3,6,8]=>1101100=>7
[8,1,3,5,4,2,6,7]=>1001100=>6
[8,1,5,3,4,2,6,7]=>1010100=>7
[8,1,5,6,2,3,7,4]=>1001001=>5
[8,1,4,5,3,2,6,7]=>1001100=>6
[8,1,4,3,5,2,6,7]=>1010100=>7
[7,2,1,4,5,3,6,8]=>1100100=>7
[2,7,1,4,5,3,6,8]=>0100100=>5
[2,6,3,1,5,4,7,8]=>0110100=>4
[6,3,2,1,5,4,7,8]=>1110100=>7
[7,3,1,4,5,2,6,8]=>1100100=>7
[7,3,1,5,4,2,6,8]=>1101100=>7
[7,3,1,6,2,5,4,8]=>1101010=>7
[3,7,1,6,2,5,4,8]=>0101010=>4
[3,7,1,4,5,2,6,8]=>0100100=>5
[3,6,2,1,5,4,7,8]=>0110100=>4
[2,3,6,1,5,4,7,8]=>0010100=>3
[3,5,2,4,1,6,7,8]=>0101000=>5
[6,3,4,1,5,2,7,8]=>1010100=>7
[6,2,4,1,5,3,7,8]=>1010100=>7
[2,6,4,1,5,3,7,8]=>0110100=>4
[2,6,5,1,3,7,4,8]=>0110010=>4
[6,2,5,1,3,7,4,8]=>1010010=>6
[6,5,2,1,3,7,4,8]=>1110010=>7
[7,6,1,2,4,5,3,8]=>1100010=>7
[6,7,1,2,8,3,5,4]=>0100101=>2
[6,7,1,2,5,4,3,8]=>0100110=>3
[5,6,2,1,3,7,4,8]=>0110010=>4
[5,2,6,1,3,7,4,8]=>1010010=>6
[2,4,6,1,5,3,7,8]=>0010100=>3
[4,7,1,3,5,2,6,8]=>0100100=>5
[4,7,1,5,3,2,6,8]=>0101100=>3
[5,7,1,4,2,6,3,8]=>0101010=>4
[5,7,1,6,2,3,8,4]=>0101001=>3
[5,6,3,1,2,7,4,8]=>0110010=>4
[4,2,5,3,1,6,7,8]=>1011000=>6
[5,3,6,1,2,7,4,8]=>1010010=>6
[3,4,6,1,5,2,7,8]=>0010100=>3
[6,5,1,8,7,3,4,2]=>1101101=>5
[8,2,7,5,4,1,3,6]=>1011100=>5
[6,8,5,2,3,4,1,7]=>0110010=>4
[2,6,8,7,1,5,3,4]=>0011010=>2
[8,5,6,2,7,1,4,3]=>1010101=>4
[6,5,1,2,7,8,4,3]=>1100011=>5
[4,7,6,1,5,3,8,2]=>0110101=>3
[5,7,6,4,1,3,8,2]=>0111001=>3
[7,6,2,4,5,3,8,1]=>1100101=>6
[6,1,7,5,3,8,4,2]=>1011011=>3
[8,6,7,5,3,1,4,2]=>1011101=>4
[8,5,2,7,1,6,4,3]=>1101011=>5
[7,6,1,5,3,8,4,2]=>1101011=>5
[5,6,2,4,7,8,1,3]=>0100010=>4
[3,4,6,1,7,8,5,2]=>0010011=>1
[3,4,8,6,7,1,5,2]=>0010101=>1
[4,8,5,6,7,2,3,1]=>0100101=>2
[5,8,6,4,1,2,7,3]=>0111001=>3
[5,8,6,1,7,2,4,3]=>0110101=>3
[5,8,7,3,2,6,4,1]=>0111011=>2
[5,8,1,7,2,6,4,3]=>0101011=>1
[8,1,5,7,2,6,4,3]=>1001011=>4
[8,1,7,2,5,6,3,4]=>1010010=>6
[6,8,7,2,5,1,3,4]=>0110100=>4
[5,8,7,2,1,6,3,4]=>0111010=>3
[4,8,1,5,2,6,7,3]=>0101001=>3
[3,7,8,5,1,6,2,4]=>0011010=>2
[6,5,2,7,8,1,4,3]=>1100101=>6
[7,1,2,8,5,6,3,4]=>1001010=>5
[8,7,2,1,5,6,3,4]=>1110010=>7
[8,6,7,1,5,2,3,4]=>1010100=>7
[6,1,7,8,5,2,3,4]=>1001100=>6
[7,5,6,2,1,8,4,3]=>1011011=>3
[8,7,5,2,1,6,4,3]=>1111011=>5
[7,1,3,5,8,6,2,4]=>1000110=>5
[5,1,3,4,6,8,7,2]=>1000011=>5
[4,5,3,6,8,2,7,1]=>0100101=>2
[5,6,3,4,8,1,7,2]=>0100101=>2
[4,6,7,8,5,1,3,2]=>0001101=>1
[8,4,3,1,2,6,7,5]=>1110001=>6
[8,5,1,6,3,4,7,2]=>1101001=>6
[5,1,8,6,3,4,7,2]=>1011001=>5
[4,6,8,1,5,3,7,2]=>0010101=>1
[6,4,5,8,3,2,7,1]=>1001101=>4
[3,6,4,8,7,1,5,2]=>0101101=>2
[6,5,8,1,3,4,7,2]=>1010001=>6
[5,6,8,3,1,2,7,4]=>0011001=>2
[6,1,8,3,5,2,7,4]=>1010101=>4
[7,6,8,3,5,2,1,4]=>1010110=>5
[8,6,1,3,5,2,7,4]=>1100101=>6
[8,7,1,3,5,6,2,4]=>1100010=>7
[6,7,8,3,5,1,2,4]=>0010100=>3
[3,4,8,1,2,6,7,5]=>0010001=>2
[5,8,2,4,3,6,7,1]=>0101001=>3
[5,8,2,3,1,6,7,4]=>0101001=>3
[6,8,2,3,5,1,7,4]=>0100101=>2
[7,8,2,3,5,6,1,4]=>0100010=>4
[8,6,5,1,4,3,7,2]=>1110101=>6
[2,4,8,6,1,3,7,5]=>0011001=>2
[6,7,1,8,4,3,5,2]=>0101101=>2
[2,7,8,6,1,4,3,5]=>0011010=>2
[2,7,3,8,1,6,4,5]=>0101010=>4
[7,5,1,8,2,4,6,3]=>1101001=>6
[2,7,8,4,1,6,3,5]=>0011010=>2
[2,6,5,4,1,3,8,7]=>0111001=>3
[4,1,7,6,3,8,2,5]=>1011010=>6
[4,8,2,5,7,6,3,1]=>0100111=>2
[3,4,6,5,1,8,2,7]=>0011010=>2
[2,6,5,3,4,1,8,7]=>0110101=>3
[4,6,1,5,2,3,8,7]=>0101001=>3
[6,2,3,5,1,4,8,7]=>1001001=>5
[2,6,7,5,1,8,4,3]=>0011011=>1
[8,6,1,2,5,3,4,7]=>1100100=>7
[6,2,5,1,8,3,4,7]=>1010100=>7
[7,6,5,2,8,3,4,1]=>1110101=>6
[2,6,3,5,1,8,7,4]=>0101011=>1
[2,4,7,6,5,8,1,3]=>0011010=>2
[2,1,4,8,7,6,3,5]=>1001110=>4
[7,4,6,8,5,3,2,1]=>1001111=>3
[8,1,3,5,7,4,6,2]=>1000101=>5
[3,2,8,7,5,1,6,4]=>1011101=>4
[4,8,5,1,6,7,2,3]=>0110010=>4
[3,8,5,1,6,7,2,4]=>0110010=>4
[7,8,6,1,3,5,2,4]=>0110010=>4
[5,6,7,2,8,1,3,4]=>0010100=>3
[2,5,1,8,6,7,4,3]=>0101011=>1
[3,5,1,8,6,7,4,2]=>0101011=>1
[5,2,3,8,6,7,4,1]=>1001011=>4
[8,3,5,4,6,7,1,2]=>1010010=>6
[5,1,3,8,6,7,4,2]=>1001011=>4
[3,2,5,8,6,7,4,1]=>1001011=>4
[6,2,1,5,3,8,7,4]=>1101011=>5
[5,6,3,2,8,1,4,7]=>0110100=>4
[8,1,6,3,5,2,7,4]=>1010101=>4
[8,7,6,2,5,3,1,4]=>1110110=>7
[4,7,6,8,3,2,5,1]=>0101101=>2
[2,7,5,8,1,3,4,6]=>0101000=>5
[7,6,2,8,5,1,4,3]=>1101101=>5
[8,1,3,7,5,2,6,4]=>1001101=>4
[3,4,8,7,5,1,6,2]=>0011101=>1
[6,3,8,1,4,2,5,7]=>1010100=>7
[6,3,8,5,7,4,1,2]=>1010110=>5
[7,4,6,8,5,1,3,2]=>1001101=>4
[2,1,4,8,7,5,6,3]=>1001101=>4
[7,1,5,8,2,6,4,3]=>1001011=>4
[3,6,8,2,4,1,7,5]=>0010101=>1
[4,5,8,2,6,7,3,1]=>0010011=>1
[5,2,8,1,6,7,3,4]=>1010010=>6
[2,5,8,4,6,7,3,1]=>0010011=>1
[5,8,3,4,6,7,2,1]=>0100011=>3
[8,4,3,2,6,7,1,5]=>1110010=>7
[4,2,8,1,6,7,3,5]=>1010010=>6
[2,4,8,1,6,7,3,5]=>0010010=>3
[5,1,8,2,6,7,3,4]=>1010010=>6
[3,4,8,7,2,1,5,6]=>0011100=>3
[7,8,5,3,6,4,2,1]=>0110111=>1
[2,8,5,7,4,1,3,6]=>0101100=>3
[5,8,4,1,6,7,2,3]=>0110010=>4
[3,8,1,4,6,7,2,5]=>0100010=>4
[8,2,3,4,6,7,1,5]=>1000010=>6
[6,2,7,3,8,4,1,5]=>1010110=>5
[7,4,3,2,8,5,1,6]=>1110110=>7
[8,3,6,2,5,4,1,7]=>1010110=>5
[5,4,8,3,2,6,1,7]=>1011010=>6
[3,5,8,2,4,6,1,7]=>0010010=>3
[6,4,7,8,2,3,1,5]=>1001010=>5
[4,8,6,2,5,3,1,7]=>0110110=>3
[1,6,4,3,2,8,7,5]=>0111011=>2
[1,5,3,2,8,4,7,6]=>0110101=>3
[5,7,4,3,1,2,6,8]=>0111000=>4
[2,8,7,3,5,1,4,6]=>0110100=>4
[6,1,2,7,3,8,5,4]=>1001011=>4
[5,1,3,2,8,7,4,6]=>1010110=>5
[1,8,3,7,2,6,5,4]=>0101011=>1
[5,1,4,8,3,7,2,6]=>1001010=>5
[2,1,6,8,5,4,7,3]=>1001101=>4
[8,3,1,6,7,2,5,4]=>1100101=>6
[3,7,6,1,5,2,4,8]=>0110100=>4
[1,5,4,8,3,2,7,6]=>0101101=>2
[7,3,6,1,2,5,4,8]=>1010010=>6
[5,4,7,1,3,2,6,8]=>1010100=>7
[5,7,2,3,8,1,4,6]=>0100100=>5
[6,4,7,5,8,1,2,3]=>1010100=>7
[7,4,8,5,1,6,3,2]=>1011011=>3
[8,6,4,2,1,7,5,3]=>1111011=>5
[7,4,2,1,5,8,6,3]=>1110011=>5
[7,6,4,1,8,5,2,3]=>1110110=>7
[1,6,4,8,7,5,3,2]=>0101111=>1
[6,3,1,2,8,4,7,5]=>1100101=>6
[6,8,4,1,2,7,5,3]=>0110011=>2
[3,6,1,8,2,4,7,5]=>0101001=>3
[1,3,8,7,6,2,5,4]=>0011101=>1
[5,4,1,8,7,3,2,6]=>1101110=>6
[3,5,1,8,7,2,4,6]=>0101100=>3
[5,8,4,1,7,6,2,3]=>0110110=>3
[8,6,1,7,5,4,3,2]=>1101111=>3
[7,1,5,8,6,4,3,2]=>1001111=>3
[4,1,8,7,6,2,5,3]=>1011101=>4
[3,1,8,7,6,5,2,4]=>1011110=>4
[1,6,4,5,2,3,7,8]=>0101000=>5
[1,7,4,5,2,3,6,8]=>0101000=>5
[1,7,3,5,2,4,6,8]=>0101000=>5
[1,6,3,5,2,4,7,8]=>0101000=>5
[1,6,3,4,2,5,7,8]=>0101000=>5
[1,7,3,4,2,5,6,8]=>0101000=>5
[1,8,6,7,3,4,2,5]=>0101010=>4
[1,8,5,7,3,4,2,6]=>0101010=>4
[1,7,3,4,2,6,5,8]=>0101010=>4
[1,5,2,8,4,7,3,6]=>0101010=>4
[1,4,2,8,5,7,3,6]=>0101010=>4
[1,7,3,5,2,6,4,8]=>0101010=>4
[1,8,4,7,3,5,2,6]=>0101010=>4
[1,7,3,6,2,5,4,8]=>0101010=>4
[1,7,3,6,2,4,5,8]=>0101000=>5
[1,7,4,6,2,3,5,8]=>0101000=>5
[1,8,5,6,2,3,4,7]=>0101000=>5
[1,8,5,6,2,4,3,7]=>0101010=>4
[1,3,2,8,5,6,4,7]=>0101010=>4
[1,4,2,8,5,6,3,7]=>0101010=>4
[1,5,2,8,4,6,3,7]=>0101010=>4
[1,6,2,8,4,5,3,7]=>0101010=>4
[9,1,2,3,5,4,6,7,8]=>10001000=>8
[8,1,2,4,5,3,6,7]=>1000100=>6
[2,3,4,6,5,7,8,9,1]=>00010001=>2
[10,1,2,3,4,6,5,7,8,9]=>100001000=>8
[9,1,2,3,5,6,4,7,8]=>10000100=>7
[2,3,4,7,5,6,8,9,1]=>00010001=>2
[2,3,4,6,7,5,8,9,1]=>00001001=>1
[2,3,4,5,7,6,8,9,10,1]=>000010001=>1
[9,10,5,6,7,8,3,4,1,2]=>010001010=>4
[5,8,9,6,7,10,3,4,1,2]=>001001010=>2
[9,10,7,8,3,4,5,6,1,2]=>010100010=>6
[9,10,3,6,7,4,5,8,1,2]=>010010010=>6
[3,8,9,6,7,4,5,10,1,2]=>001010010=>3
[3,6,7,8,9,4,5,10,1,2]=>000010010=>2
[9,10,3,4,5,6,7,8,1,2]=>010000010=>6
[3,8,9,4,5,6,7,10,1,2]=>001000010=>4
[3,4,7,8,5,6,9,10,1,2]=>000100010=>3
[7,8,9,10,5,6,1,2,3,4]=>000101000=>4
[5,8,9,6,7,10,1,2,3,4]=>001001000=>5
[9,10,7,8,1,4,5,2,3,6]=>010100100=>6
[7,8,9,10,1,4,5,2,3,6]=>000100100=>3
[9,10,1,6,7,4,5,2,3,8]=>010010100=>5
[1,8,9,6,7,4,5,2,3,10]=>001010100=>3
[1,6,7,8,9,4,5,2,3,10]=>000010100=>3
[9,10,1,4,5,6,7,2,3,8]=>010000100=>6
[1,8,9,4,5,6,7,2,3,10]=>001000100=>5
[1,4,7,8,5,6,9,2,3,10]=>000100100=>3
[1,4,5,6,7,8,9,2,3,10]=>000000100=>3
[9,10,1,6,7,2,3,4,5,8]=>010010000=>7
[1,8,9,6,7,2,3,4,5,10]=>001010000=>5
[1,6,7,8,9,2,3,4,5,10]=>000010000=>5
[9,10,1,2,5,6,3,4,7,8]=>010001000=>7
[1,8,9,2,5,6,3,4,7,10]=>001001000=>5
[1,2,7,8,5,6,3,4,9,10]=>000101000=>4
[1,2,5,6,7,8,3,4,9,10]=>000001000=>4
[1,8,9,2,3,4,5,6,7,10]=>001000000=>7
[1,2,7,8,3,4,5,6,9,10]=>000100000=>6
[1,2,3,6,7,4,5,8,9,10]=>000010000=>5
[8,6,4,7,2,1,3,5]=>1101100=>7
[8,4,6,2,3,5,1,7]=>1010010=>6
[5,4,8,2,3,6,1,7]=>1010010=>6
[3,8,6,2,4,5,1,7]=>0110010=>4
[1,7,6,4,8,2,3,5]=>0110100=>4
[5,8,7,4,1,2,3,6]=>0111000=>4
[6,8,5,3,4,1,2,7]=>0110100=>4
[6,8,3,7,2,1,4,5]=>0101100=>3
[6,1,3,7,4,8,2,5]=>1001010=>5
[7,1,6,4,8,2,3,5]=>1010100=>7
[1,8,5,7,2,3,4,6]=>0101000=>5
[6,1,5,8,2,3,4,7]=>1001000=>7
[6,1,5,7,8,2,3,4]=>1000100=>6
[3,8,7,5,1,2,4,6]=>0111000=>4
[3,7,6,1,2,4,5,8]=>0110000=>5
[4,7,6,1,2,3,5,8]=>0110000=>5
[1,6,5,8,2,3,4,7]=>0101000=>5
[8,5,7,4,1,2,3,6]=>1011000=>6
[8,6,2,3,1,7,4,5]=>1101010=>7
[8,6,4,1,2,7,3,5]=>1110010=>7
[1,7,2,8,6,3,4,5]=>0101100=>3
[7,5,8,1,3,6,2,4]=>1010010=>6
[5,4,1,8,2,3,6,7]=>1101000=>7
[1,4,8,7,2,3,5,6]=>0011000=>4
[1,5,8,7,2,3,4,6]=>0011000=>4
[5,7,1,3,8,2,4,6]=>0100100=>5
[7,1,5,8,6,2,3,4]=>1001100=>6
[6,1,8,2,7,3,4,5]=>1010100=>7
[4,1,8,7,2,3,5,6]=>1011000=>6
[5,1,8,7,2,3,4,6]=>1011000=>6
[1,8,7,6,4,5,3,2]=>0111011=>2
[9,8,7,6,4,5,3,2,1,10]=>111101110=>9
[8,7,6,4,3,5,2,1,9]=>11110110=>8
[8,7,6,3,5,4,2,1,9]=>11101110=>8
[1,9,8,7,5,4,6,3,2]=>01111011=>2
[1,8,7,3,6,5,4,2]=>0110111=>1
[1,9,8,7,4,6,5,3,2]=>01110111=>2
[1,10,9,8,7,5,6,4,3,2]=>011110111=>2
[7,1,5,8,3,4,2,6]=>1001010=>5
[7,1,4,3,2,5,6,8]=>1011000=>6
[6,4,2,3,8,5,7,1]=>1100101=>6
[6,4,2,7,5,8,3,1]=>1101011=>5
[2,4,1,7,5,8,3,6]=>0101010=>4
[7,1,4,6,5,2,3,8]=>1001100=>6
[7,1,4,6,5,8,2,3]=>1001010=>5
[7,1,4,6,3,8,2,5]=>1001010=>5
[7,1,4,3,2,5,8,6]=>1011001=>5
[7,1,4,6,5,2,8,3]=>1001101=>4
[7,1,4,6,5,3,8,2]=>1001101=>4
[7,1,4,6,5,3,2,8]=>1001110=>4
[6,4,2,7,5,3,8,1]=>1101101=>5
[3,4,7,2,6,8,5,1]=>0010011=>1
[3,4,7,1,6,8,2,5]=>0010010=>3
[3,4,7,1,6,8,5,2]=>0010011=>1
[2,4,1,7,5,3,6,8]=>0101100=>3
[3,4,1,7,8,6,2,5]=>0100110=>3
[6,4,2,3,8,5,1,7]=>1100110=>6
[6,4,2,7,5,8,1,3]=>1101010=>7
[6,4,2,7,5,3,1,8]=>1101110=>6
[3,4,7,2,6,8,1,5]=>0010010=>3
[5,4,7,3,6,8,2,1]=>1010011=>5
[3,4,7,2,6,5,1,8]=>0010110=>2
[4,8,3,2,5,6,1,7]=>0110010=>4
[4,8,7,3,5,1,2,6]=>0110100=>4
[4,8,7,1,3,5,2,6]=>0110010=>4
[4,8,3,1,2,6,5,7]=>0110010=>4
[3,4,7,1,6,2,5,8]=>0010100=>3
[3,4,7,1,6,2,8,5]=>0010101=>1
[3,4,7,2,6,5,8,1]=>0010101=>1
[4,8,3,1,2,6,7,5]=>0110001=>4
[5,8,1,6,3,4,2,7]=>0101010=>4
[6,8,5,1,3,7,2,4]=>0110010=>4
[6,8,5,1,3,4,7,2]=>0110001=>4
[5,8,3,4,2,6,7,1]=>0101001=>3
[5,4,7,3,6,2,8,1]=>1010101=>4
[5,4,7,2,6,1,8,3]=>1010101=>4
[6,4,3,7,5,1,2,8]=>1101100=>7
[6,4,3,7,5,1,8,2]=>1101101=>5
[6,2,4,3,1,5,8,7]=>1011001=>5
[3,8,7,4,1,5,2,6]=>0111010=>3
[2,4,7,3,6,1,5,8]=>0010100=>3
[5,8,3,2,1,6,4,7]=>0111010=>3
[5,8,7,4,3,1,2,6]=>0111100=>3
[5,4,7,3,6,2,1,8]=>1010110=>5
[7,3,8,2,1,6,5,4]=>1011011=>3
[7,4,3,8,5,2,1,6]=>1101110=>6
[6,5,2,8,4,3,1,7]=>1101110=>6
[4,3,2,8,6,5,1,7]=>1101110=>6
[4,3,8,7,5,1,6,2]=>1011101=>4
[3,2,5,8,6,1,4,7]=>1001100=>6
[8,4,3,7,5,2,6,1]=>1101101=>5
[4,3,7,8,5,1,2,6]=>1001100=>6
[5,3,7,8,4,1,2,6]=>1001100=>6
[6,2,5,8,3,1,4,7]=>1001100=>6
[6,2,4,8,3,1,5,7]=>1001100=>6
[5,2,3,8,4,1,6,7]=>1001100=>6
[5,3,8,7,4,1,6,2]=>1011101=>4
[5,3,2,8,6,4,1,7]=>1101110=>6
[7,5,3,8,4,2,1,6]=>1101110=>6
[8,7,5,3,6,2,4,1]=>1110101=>6
[8,6,5,3,7,2,4,1]=>1110101=>6
[7,5,4,3,8,2,6,1]=>1110101=>6
[6,4,5,3,8,2,7,1]=>1010101=>4
[7,4,6,3,8,2,5,1]=>1010101=>4
[7,5,6,3,8,2,4,1]=>1010101=>4
[8,5,6,3,7,2,4,1]=>1010101=>4
[7,4,6,3,5,2,8,1]=>1010101=>4
[8,4,6,3,5,2,7,1]=>1010101=>4
[8,4,7,3,5,2,6,1]=>1010101=>4
[8,5,7,3,4,2,6,1]=>1010101=>4
[7,5,8,4,3,2,6,1]=>1011101=>4
[6,5,8,4,3,2,7,1]=>1011101=>4
[6,5,8,3,4,2,7,1]=>1010101=>4
[7,5,8,3,4,2,6,1]=>1010101=>4
[7,5,8,4,6,2,3,1]=>1010101=>4
[7,4,8,3,6,2,5,1]=>1010101=>4
[7,4,8,3,5,2,6,1]=>1010101=>4
[6,4,8,3,5,2,7,1]=>1010101=>4
[6,4,7,3,5,2,8,1]=>1010101=>4
[5,4,8,3,7,2,6,1]=>1010101=>4
[6,5,8,3,7,2,4,1]=>1010101=>4
[6,5,8,4,7,2,3,1]=>1010101=>4
[6,5,8,4,7,3,2,1]=>1010111=>3
[6,4,7,3,8,2,5,1]=>1010101=>4
[5,4,7,3,8,2,6,1]=>1010101=>4
[5,4,6,3,8,2,7,1]=>1010101=>4
[5,3,6,2,4,7,8,1]=>1010001=>6
[5,3,6,1,4,8,7,2]=>1010011=>5
[5,3,7,2,4,6,8,1]=>1010001=>6
[4,3,1,5,6,8,7,2]=>1100011=>5
[4,2,1,5,8,6,3,7]=>1100110=>6
[4,2,1,5,8,6,7,3]=>1100101=>6
[4,2,1,5,8,7,6,3]=>1100111=>4
[4,3,1,5,7,8,6,2]=>1100011=>5
[4,3,1,7,5,8,6,2]=>1101011=>5
[6,7,3,1,4,8,2,5]=>0110010=>4
[5,3,7,1,4,8,2,6]=>1010010=>6
[4,3,1,5,7,8,2,6]=>1100010=>7
[3,2,1,8,5,4,6,7]=>1101100=>7
[3,2,1,8,5,7,4,6]=>1101010=>7
[3,2,1,8,7,5,4,6]=>1101110=>6
[5,2,7,1,8,4,3,6]=>1010110=>5
[6,7,2,1,8,4,3,5]=>0110110=>3
[6,7,2,1,8,4,5,3]=>0110101=>3
[3,2,1,8,5,6,4,7]=>1101010=>7
[3,2,1,8,6,5,4,7]=>1101110=>6
[4,3,1,6,7,8,5,2]=>1100011=>5
[4,2,1,6,8,7,5,3]=>1100111=>4
[4,2,1,6,8,5,7,3]=>1100101=>6
[4,2,1,6,8,5,3,7]=>1100110=>6
[5,2,6,1,8,4,3,7]=>1010110=>5
[5,2,6,1,8,7,4,3]=>1010111=>3
[5,2,6,1,8,7,3,4]=>1010110=>5
[5,2,6,1,8,3,4,7]=>1010100=>7
[4,2,1,6,8,3,7,5]=>1100101=>6
[4,3,1,6,7,8,2,5]=>1100010=>7
[6,7,3,1,5,8,2,4]=>0110010=>4
[4,2,1,7,8,6,3,5]=>1100110=>6
[3,2,1,8,7,6,4,5]=>1101110=>6
[3,2,1,8,6,4,7,5]=>1101101=>5
[3,2,1,8,6,4,5,7]=>1101100=>7
[3,2,1,8,4,6,5,7]=>1101010=>7
[3,2,1,8,4,6,7,5]=>1101001=>6
[3,2,1,8,4,7,6,5]=>1101011=>5
[3,2,1,8,7,4,6,5]=>1101101=>5
[4,2,1,7,8,3,6,5]=>1100101=>6
[5,2,7,1,8,3,6,4]=>1010101=>4
[6,7,2,1,8,3,5,4]=>0110101=>3
[5,2,7,1,8,3,4,6]=>1010100=>7
[4,2,1,7,8,3,5,6]=>1100100=>7
[3,2,1,8,4,5,7,6]=>1101001=>6
[7,5,2,8,6,3,4,1]=>1101101=>5
[7,4,8,6,2,5,3,1]=>1011011=>3
[7,3,8,6,2,4,5,1]=>1011001=>5
[7,4,3,1,8,2,5,6]=>1110100=>7
[7,4,2,8,5,6,1,3]=>1101010=>7
[7,3,8,5,2,4,6,1]=>1011001=>5
[7,3,8,4,5,6,2,1]=>1010011=>5
[6,3,8,2,4,5,1,7]=>1010010=>6
[6,3,8,2,5,7,4,1]=>1010011=>5
[6,4,3,8,1,5,2,7]=>1101010=>7
[6,3,7,8,2,4,1,5]=>1001010=>5
[5,6,7,3,8,2,4,1]=>0010101=>1
[5,4,7,2,6,8,1,3]=>1010010=>6
[5,3,8,2,4,6,7,1]=>1010001=>6
[6,3,8,2,4,7,5,1]=>1010011=>5
[5,7,4,2,6,8,1,3]=>0110010=>4
[6,4,8,2,7,5,1,3]=>1010110=>5
[6,5,3,1,4,2,7,8]=>1110100=>7
[5,7,4,2,6,1,3,8]=>0110100=>4
[5,6,4,2,3,8,1,7]=>0110010=>4
[5,6,3,7,8,2,4,1]=>0100101=>2
[5,6,3,8,2,4,7,1]=>0101001=>3
[6,3,7,2,4,5,1,8]=>1010010=>6
[6,3,7,2,5,8,4,1]=>1010011=>5
[5,3,6,8,2,4,7,1]=>1001001=>5
[5,4,6,2,3,8,1,7]=>1010010=>6
[5,3,6,7,8,2,4,1]=>1000101=>5
[3,6,4,2,1,5,8,7]=>0111001=>3
[3,5,8,6,4,2,1,7]=>0011110=>2
[5,8,6,3,4,2,1,7]=>0110110=>3
[5,6,3,4,2,1,8,7]=>0101101=>2
[6,3,4,2,1,5,8,7]=>1011001=>5
[5,6,4,2,1,3,8,7]=>0111001=>3
[2,5,4,1,7,8,6,3]=>0110011=>2
[2,7,8,5,4,1,6,3]=>0011101=>1
[2,8,5,4,1,6,3,7]=>0111010=>3
[2,6,3,8,5,4,1,7]=>0101110=>2
[2,8,6,3,5,4,1,7]=>0110110=>3
[5,8,6,4,2,1,3,7]=>0111100=>3
[4,2,1,5,7,8,6,3]=>1100011=>5
[2,7,8,6,3,5,4,1]=>0011011=>1
[4,3,8,5,7,6,2,1]=>1010111=>3
[7,6,2,1,8,4,3,5]=>1110110=>7
[2,1,8,5,6,4,3,7]=>1010110=>5
[4,2,1,8,5,6,3,7]=>1101010=>7
[8,4,2,1,5,6,3,7]=>1110010=>7
[2,5,6,3,8,4,1,7]=>0010110=>2
[6,3,4,2,1,8,5,7]=>1011010=>6
[3,7,8,5,6,4,2,1]=>0010111=>1
[3,8,5,6,4,2,1,7]=>0101110=>2
[3,6,4,2,1,8,5,7]=>0111010=>3
[3,8,6,4,2,1,5,7]=>0111100=>3
[3,7,8,6,4,2,1,5]=>0011110=>2
[8,5,3,7,6,2,4,1]=>1101101=>5
[7,6,2,4,1,8,5,3]=>1101011=>5
[8,5,4,1,7,6,2,3]=>1110110=>7
[7,6,2,3,8,5,4,1]=>1100111=>4
[2,1,7,8,6,4,3,5]=>1001110=>4
[2,1,6,4,3,7,8,5]=>1011001=>5
[6,4,2,1,3,7,8,5]=>1110001=>6
[6,3,7,8,4,2,1,5]=>1001110=>4
[7,8,4,2,1,6,3,5]=>0111010=>3
[5,7,6,2,3,8,4,1]=>0110011=>2
[2,6,1,8,4,3,7,5]=>0101101=>2
[2,6,1,7,5,8,4,3]=>0101011=>1
[8,4,2,3,7,5,6,1]=>1100101=>6
[8,5,7,6,2,1,4,3]=>1011101=>4
[4,8,5,7,6,2,1,3]=>0101110=>2
[4,7,6,2,1,3,8,5]=>0111001=>3
[7,5,6,1,8,4,2,3]=>1010110=>5
[2,7,5,8,4,3,6,1]=>0101101=>2
[2,8,4,3,6,1,7,5]=>0110101=>3
[6,4,7,8,3,2,1,5]=>1001110=>4
[7,6,5,8,4,3,2,1,9]=>11011110=>6
[7,6,5,4,9,3,2,1,8]=>11101110=>8
[7,6,5,4,3,8,2,1,9]=>11110110=>8
[7,6,5,4,3,2,8,1,9]=>11111010=>8
[6,9,8,5,4,3,2,1,7]=>01111110=>2
[8,7,9,6,5,4,3,2,1,10]=>101111110=>4
[7,5,8,9,4,3,2,1,6]=>10011110=>4
[8,7,6,9,5,4,3,2,1,10]=>110111110=>6
[6,4,3,7,5,2,1,8]=>1101110=>6
[7,6,4,8,9,3,2,1,5]=>11001110=>6
[8,7,6,5,10,4,3,2,1,9]=>111011110=>8
[6,5,3,2,8,4,1,7]=>1110110=>7
[7,6,5,3,9,8,2,1,4]=>11101110=>8
[8,7,6,5,4,9,3,2,1,10]=>111101110=>9
[6,5,2,7,8,4,1,3]=>1100110=>6
[7,6,5,4,2,8,9,1,3]=>11110010=>8
[8,7,6,5,4,3,9,2,1,10]=>111110110=>9
[7,6,5,4,3,1,8,9,2]=>11111001=>7
[7,10,9,6,5,4,3,2,1,8]=>011111110=>2
[9,8,10,7,6,5,4,3,2,1,11]=>1011111110=>4
[6,5,8,7,4,3,2,1,9]=>10111110=>4
[8,6,9,10,5,4,3,2,1,7]=>100111110=>4
[9,8,7,10,6,5,4,3,2,1,11]=>1101111110=>6
[7,5,4,8,6,3,2,1,9]=>11011110=>6
[5,9,8,7,4,3,2,1,6]=>01111110=>2
[8,7,5,9,10,4,3,2,1,6]=>110011110=>6
[9,8,7,6,11,5,4,3,2,1,10]=>1110111110=>8
[6,4,3,2,5,8,1,7]=>1110010=>7
[7,6,4,3,9,5,2,1,8]=>11101110=>8
[7,4,8,9,6,3,2,1,5]=>10011110=>4
[8,7,6,4,10,9,3,2,1,5]=>111011110=>8
[6,3,7,2,5,4,1,8]=>1010110=>5
[7,6,5,3,2,8,4,1,9]=>11110110=>8
[7,6,3,8,9,5,2,1,4]=>11001110=>6
[8,7,6,5,3,9,10,2,1,4]=>111100110=>9
[7,6,5,4,2,1,8,3,9]=>11111010=>8
[6,3,2,7,5,4,1,8]=>1101110=>6
[7,6,5,2,9,8,4,1,3]=>11101110=>8
[8,7,6,5,4,2,9,10,1,3]=>111110010=>9
[7,6,5,4,1,8,9,3,2]=>11110011=>6
[8,7,6,5,4,3,1,10,9,2]=>111111011=>7
[8,4,2,6,3,1,7,5]=>1101101=>5
[1,5,3,7,4,2,8,6]=>0101101=>2
[1,6,7,3,4,2,8,5]=>0010101=>1
[8,6,5,2,3,1,7,4]=>1110101=>6
[1,7,6,3,4,2,8,5]=>0110101=>3
[1,8,6,3,2,5,7,4]=>0111001=>3
[8,7,5,2,1,4,6,3]=>1111001=>6
[7,8,5,2,1,4,6,3]=>0111001=>3
[6,8,5,2,3,1,7,4]=>0110101=>3
[5,8,6,2,3,1,7,4]=>0110101=>3
[4,8,2,6,3,1,7,5]=>0101101=>2
[3,2,8,6,4,1,7,5]=>1011101=>4
[3,2,1,7,5,4,8,6]=>1101101=>5
[4,1,3,7,5,2,8,6]=>1001101=>4
[5,1,7,3,4,2,8,6]=>1010101=>4
[7,1,6,3,2,5,8,4]=>1011001=>5
[1,2,7,4,3,6,8,5]=>0011001=>2
[6,1,8,2,4,5,7,3]=>1010001=>6
[5,1,8,3,2,6,7,4]=>1011001=>5
[3,2,8,7,1,5,6,4]=>1011001=>5
[4,8,2,7,1,5,6,3]=>0101001=>3
[5,8,7,2,1,4,6,3]=>0111001=>3
[6,8,7,1,3,4,5,2]=>0110001=>4
[7,8,6,1,3,4,5,2]=>0110001=>4
[1,7,8,2,4,5,6,3]=>0010001=>2
[8,6,7,1,3,4,5,2]=>1010001=>6
[7,6,8,1,3,4,5,2]=>1010001=>6
[6,5,8,2,3,1,7,4]=>1010101=>4
[1,6,8,3,2,5,7,4]=>0011001=>2
[1,5,3,8,2,6,7,4]=>0101001=>3
[8,4,2,7,1,5,6,3]=>1101001=>6
[7,4,2,8,1,5,6,3]=>1101001=>6
[6,4,2,8,3,1,7,5]=>1101101=>5
[5,4,2,3,8,1,7,6]=>1100101=>6
[4,5,2,3,1,6,8,7]=>0101001=>3
[7,4,2,1,3,6,8,5]=>1110001=>6
[8,4,2,1,3,6,7,5]=>1110001=>6
[1,5,3,2,4,7,8,6]=>0110001=>4
[8,5,1,3,2,6,7,4]=>1101001=>6
[5,6,1,3,4,2,8,7]=>0100101=>2
[4,6,2,1,5,3,8,7]=>0110101=>3
[4,7,2,1,3,6,8,5]=>0110001=>4
[5,7,1,3,2,6,8,4]=>0101001=>3
[6,7,1,2,4,5,8,3]=>0100001=>4
[8,6,1,2,4,5,7,3]=>1100001=>6
[1,8,2,3,5,6,7,4]=>0100001=>4
[8,7,1,2,4,5,6,3]=>1100001=>6
[7,8,1,2,4,5,6,3]=>0100001=>4
[5,8,1,3,2,6,7,4]=>0101001=>3
[4,8,2,1,3,6,7,5]=>0110001=>4
[4,1,3,2,5,7,8,6]=>1010001=>6
[5,1,2,4,3,7,8,6]=>1001001=>5
[5,4,8,1,2,3,7,6]=>1010001=>6
[1,4,7,6,3,2,5,8]=>0011100=>3
[4,8,3,2,7,6,1,5]=>0110110=>3
[4,3,8,2,7,1,6,5]=>1010101=>4
[1,4,7,3,6,2,5,8]=>0010100=>3
[4,3,2,8,1,7,6,5]=>1101011=>5
[4,1,8,3,7,2,5,6]=>1010100=>7
[4,1,8,7,3,2,5,6]=>1011100=>5
[4,7,8,1,2,5,3,6]=>0010010=>3
[3,4,7,6,2,1,8,5]=>0011101=>1
[3,4,2,7,1,6,8,5]=>0101001=>3
[2,3,6,7,4,1,8,5]=>0001101=>1
[2,6,3,4,7,8,1,5]=>0100010=>4
[2,6,7,8,3,4,1,5]=>0001010=>2
[3,1,7,8,4,2,5,6]=>1001100=>6
[4,1,3,2,8,7,5,6]=>1010110=>5
[3,7,8,2,6,4,1,5]=>0010110=>2
[4,2,3,8,1,6,7,5]=>1001001=>5
[4,3,1,8,2,5,7,6]=>1101001=>6
[1,3,6,7,4,2,5,8]=>0001100=>3
[3,2,7,8,4,1,6,5]=>1001101=>4
[4,2,8,6,3,1,7,5]=>1011101=>4
[3,7,2,4,8,6,1,5]=>0100110=>3
[3,2,7,4,8,1,6,5]=>1010101=>4
[1,3,6,4,7,2,5,8]=>0010100=>3
[3,2,4,7,1,8,6,5]=>1001011=>4
[3,7,4,2,6,8,1,5]=>0110010=>4
[3,7,4,6,2,8,1,5]=>0101010=>4
[4,7,1,5,8,2,3,6]=>0100100=>5
[3,7,6,4,8,2,1,5]=>0110110=>3
[3,1,7,4,8,2,5,6]=>1010100=>7
[2,6,7,3,8,4,1,5]=>0010110=>2
[2,3,6,4,7,1,8,5]=>0010101=>1
[8,7,5,2,6,3,4,1]=>1110101=>6
[8,6,5,2,7,3,4,1]=>1110101=>6
[7,4,8,5,6,3,2,1]=>1010111=>3
[3,4,6,7,8,5,1,2]=>0000110=>2
[1,2,6,4,7,5,8,3]=>0010101=>1
[3,1,7,5,4,2,6,8]=>1011100=>5
[6,3,8,5,4,7,1,2]=>1011010=>6
[1,6,2,5,4,7,8,3]=>0101001=>3
[1,8,2,5,6,3,7,4]=>0100101=>2
[1,2,6,4,8,5,7,3]=>0010101=>1
[7,8,3,1,4,2,5,6]=>0110100=>4
[4,8,1,5,2,3,6,7]=>0101000=>5
[7,4,1,5,2,3,6,8]=>1101000=>7
[5,6,1,8,4,3,2,7]=>0101110=>2
[5,1,8,6,4,3,2,7]=>1011110=>4
[5,1,6,3,8,7,2,4]=>1010110=>5
[6,1,2,5,8,3,7,4]=>1000101=>5
[6,1,8,7,4,3,2,5]=>1011110=>4
[7,1,2,5,4,8,6,3]=>1001011=>4
[1,2,7,5,8,3,6,4]=>0010101=>1
[4,1,6,3,7,5,2,8]=>1010110=>5
[1,3,6,7,8,5,2,4]=>0000110=>2
[1,2,6,4,7,8,5,3]=>0010011=>1
[4,1,6,3,7,8,2,5]=>1010010=>6
[3,1,6,4,8,2,7,5]=>1010101=>4
[7,8,4,1,6,3,2,5]=>0110110=>3
[4,1,6,3,8,7,2,5]=>1010110=>5
[7,5,1,8,4,3,2,6]=>1101110=>6
[6,5,1,7,4,3,2,8]=>1101110=>6
[4,1,8,5,2,3,7,6]=>1011001=>5
[4,1,6,8,3,7,2,5]=>1001010=>5
[5,4,6,1,3,8,2,7]=>1010010=>6
[6,5,8,1,4,3,2,7]=>1010110=>5
[1,3,5,7,6,8,2,4]=>0001010=>2
[1,3,5,7,6,2,8,4]=>0001101=>1
[1,3,5,7,2,6,8,4]=>0001001=>1
[1,3,5,2,7,6,4,8]=>0010110=>2
[1,3,5,7,6,2,4,8]=>0001100=>3
[1,3,5,7,4,6,8,2]=>0001001=>1
[1,3,5,7,4,6,2,8]=>0001010=>2
[1,3,5,7,4,2,6,8]=>0001100=>3
[1,3,5,4,7,2,6,8]=>0010100=>3
[1,3,5,4,7,8,2,6]=>0010010=>3
[1,3,5,4,7,2,8,6]=>0010101=>1
[1,3,5,7,4,2,8,6]=>0001101=>1
[1,3,5,7,4,8,2,6]=>0001010=>2
[1,3,5,7,4,8,6,2]=>0001011=>1
[1,3,5,7,8,4,6,2]=>0000101=>1
[1,3,5,7,8,4,2,6]=>0000110=>2
[1,3,5,2,7,8,6,4]=>0010011=>1
[1,3,5,7,2,8,6,4]=>0001011=>1
[1,3,5,7,8,2,6,4]=>0000101=>1
[1,6,3,2,7,4,8,5]=>0110101=>3
[3,5,1,6,2,8,7,4]=>0101011=>1
[1,3,7,2,5,4,8,6]=>0010101=>1
[1,3,7,5,2,4,8,6]=>0011001=>2
[2,5,7,4,3,8,1,6]=>0011010=>2
[2,5,3,7,4,8,1,6]=>0101010=>4
[2,4,7,3,1,8,6,5]=>0011011=>1
[1,4,7,3,8,2,6,5]=>0010101=>1
[3,2,6,7,8,1,5,4]=>1000101=>5
[3,5,2,7,8,4,1,6]=>0100110=>3
[1,5,7,4,8,3,2,6]=>0010110=>2
[4,6,2,1,7,8,3,5]=>0110010=>4
[3,5,2,6,8,4,7,1]=>0100101=>2
[2,5,7,4,3,8,6,1]=>0011011=>1
[1,5,7,2,4,8,6,3]=>0010011=>1
[4,6,3,7,2,8,5,1]=>0101011=>1
[1,4,7,3,8,6,2,5]=>0010110=>2
[5,1,6,8,2,4,3,7]=>1001010=>5
[5,3,7,8,2,4,1,6]=>1001010=>5
[8,5,3,7,2,4,1,6]=>1101010=>7
[8,2,4,7,3,1,5,6]=>1001100=>6
[2,4,7,8,3,1,5,6]=>0001100=>3
[6,3,1,5,8,2,4,7]=>1100100=>7
[6,5,3,4,2,8,1,7]=>1101010=>7
[5,2,4,3,8,1,6,7]=>1010100=>7
[3,2,4,8,1,5,6,7]=>1001000=>7
[3,2,4,6,8,1,5,7]=>1000100=>6
[8,1,5,7,3,2,4,6]=>1001100=>6
[8,4,6,7,2,3,1,5]=>1001010=>5
[4,6,7,8,2,3,1,5]=>0001010=>2
[7,4,6,8,2,3,1,5]=>1001010=>5
[7,2,4,8,3,1,5,6]=>1001100=>6
[5,3,8,7,2,4,1,6]=>1011010=>6
[2,4,8,7,3,1,5,6]=>0011100=>3
[4,6,8,7,2,3,1,5]=>0011010=>2
[8,7,4,6,2,3,1,5]=>1101010=>7
[5,6,8,7,2,3,1,4]=>0011010=>2
[6,4,8,7,2,3,1,5]=>1011010=>6
[3,1,7,4,2,8,6,5]=>1011011=>3
[3,2,8,4,1,7,6,5]=>1011011=>3
[7,6,4,8,2,3,1,5]=>1101010=>7
[5,7,6,8,2,3,1,4]=>0101010=>4
[4,7,6,8,2,3,1,5]=>0101010=>4
[8,6,4,7,2,3,1,5]=>1101010=>7
[8,2,3,7,4,1,6,5]=>1001101=>4
[2,3,7,8,4,1,6,5]=>0001101=>1
[3,7,4,8,2,5,1,6]=>0101010=>4
[2,3,7,4,1,6,8,5]=>0011001=>2
[8,1,6,4,2,3,7,5]=>1011001=>5
[4,7,8,6,2,3,1,5]=>0011010=>2
[2,4,7,3,1,5,8,6]=>0011001=>2
[6,3,1,7,4,2,8,5]=>1101101=>5
[8,5,7,6,2,3,1,4]=>1011010=>6
[7,5,8,6,2,3,1,4]=>1011010=>6
[7,1,6,4,2,3,8,5]=>1011001=>5
[3,1,7,6,4,2,8,5]=>1011101=>4
[4,8,7,6,2,3,1,5]=>0111010=>3
[6,8,7,5,2,3,1,4]=>0111010=>3
[4,3,6,1,5,8,7,2]=>1010011=>5
[4,3,6,5,1,8,7,2]=>1011011=>3
[4,6,3,5,1,8,7,2]=>0101011=>1
[4,6,3,1,5,8,7,2]=>0110011=>2
[4,1,6,5,3,8,7,2]=>1011011=>3
[4,6,1,5,3,8,7,2]=>0101011=>1
[2,6,5,3,1,8,7,4]=>0111011=>2
[2,6,5,1,8,7,3,4]=>0110110=>3
[2,6,5,8,1,7,3,4]=>0101010=>4
[2,6,5,8,1,3,7,4]=>0101001=>3
[2,6,5,8,3,1,7,4]=>0101101=>2
[2,6,5,3,8,1,7,4]=>0110101=>3
[4,6,1,5,8,3,7,2]=>0100101=>2
[4,1,6,5,8,3,7,2]=>1010101=>4
[1,4,6,5,8,3,7,2]=>0010101=>1
[4,1,6,5,8,7,3,2]=>1010111=>3
[2,6,5,3,8,7,1,4]=>0110110=>3
[6,4,3,8,7,1,5,2]=>1101101=>5
[6,4,8,3,7,1,5,2]=>1010101=>4
[2,6,8,5,3,7,1,4]=>0011010=>2
[4,6,8,1,5,7,3,2]=>0010011=>1
[4,6,1,8,5,7,3,2]=>0101011=>1
[4,1,6,8,5,7,3,2]=>1001011=>4
[1,4,6,8,5,7,3,2]=>0001011=>1
[1,4,6,8,5,3,7,2]=>0001101=>1
[4,6,1,8,5,3,7,2]=>0101101=>2
[2,6,8,5,3,1,7,4]=>0011101=>1
[2,6,8,5,1,7,3,4]=>0011010=>2
[4,6,8,3,5,1,7,2]=>0010101=>1
[4,6,8,3,1,5,7,2]=>0011001=>2
[4,6,3,1,8,5,7,2]=>0110101=>3
[4,6,3,8,1,5,7,2]=>0101001=>3
[4,6,3,8,5,7,1,2]=>0101010=>4
[4,3,6,8,1,5,7,2]=>1001001=>5
[4,3,6,1,8,5,7,2]=>1010101=>4
[4,3,1,6,8,5,7,2]=>1100101=>6
[4,1,3,6,8,7,5,2]=>1000111=>4
[4,3,6,1,8,7,5,2]=>1010111=>3
[4,3,6,8,1,7,5,2]=>1001011=>4
[6,5,2,8,7,3,1,4]=>1101110=>6
[6,5,2,8,7,1,3,4]=>1101100=>7
[6,2,5,8,7,1,3,4]=>1001100=>6
[6,2,5,8,7,3,1,4]=>1001110=>4
[4,6,3,8,1,7,5,2]=>0101011=>1
[4,6,3,1,8,7,5,2]=>0110111=>1
[4,1,6,3,8,7,5,2]=>1010111=>3
[1,4,6,3,8,7,5,2]=>0010111=>1
[4,1,6,8,3,7,5,2]=>1001011=>4
[4,6,1,8,3,7,5,2]=>0101011=>1
[4,6,8,1,3,7,5,2]=>0010011=>1
[6,2,8,5,7,3,1,4]=>1010110=>5
[6,2,8,5,7,1,3,4]=>1010100=>7
[2,4,8,7,1,5,3,6]=>0011010=>2
[4,2,8,7,5,3,1,6]=>1011110=>4
[6,4,1,8,7,5,3,2]=>1101111=>3
[6,1,4,8,7,5,3,2]=>1001111=>3
[1,6,4,8,7,3,5,2]=>0101101=>2
[6,4,1,8,7,3,5,2]=>1101101=>5
[4,2,8,7,5,1,3,6]=>1011100=>5
[2,4,8,7,3,5,1,6]=>0011010=>2
[2,3,4,5,6,8,9,7,1]=>00000011=>1
[2,3,4,7,1,8,6,5]=>0001011=>1
[2,3,4,5,7,8,9,6,1]=>00000011=>1
[2,3,5,6,7,8,9,4,1]=>00000011=>1
[2,4,5,6,7,8,9,3,1]=>00000011=>1
[2,3,4,5,6,7,9,10,8,1]=>000000011=>1
[2,3,4,7,8,5,6,1]=>0000101=>1
[2,3,4,5,8,1,9,7,6]=>00001011=>1
[2,3,4,5,6,8,9,10,7,1]=>000000011=>1
[2,3,6,7,4,8,5,1]=>0001011=>1
[2,3,4,7,1,8,9,6,5]=>00010011=>1
[2,5,6,3,7,8,1,4]=>0010010=>3
[2,3,7,1,4,8,6,5]=>0010011=>1
[2,3,6,1,7,8,9,4,5]=>00100010=>4
[2,3,4,6,7,8,9,10,5,1]=>000000011=>1
[2,6,1,3,7,8,5,4]=>0100011=>3
[2,5,1,6,7,8,9,4,3]=>01000011=>4
[2,3,5,6,7,8,9,10,4,1]=>000000011=>1
[4,1,5,6,7,8,9,3,2]=>10000011=>6
[2,3,4,5,6,7,10,1,8,9]=>000000100=>3
[2,3,4,5,8,9,6,7,1]=>00000101=>1
[2,3,4,5,6,9,1,10,8,7]=>000001011=>1
[2,3,4,7,8,5,9,6,1]=>00001011=>1
[2,3,4,5,8,1,9,10,7,6]=>000010011=>1
[2,5,6,7,4,8,1,3]=>0001010=>2
[2,3,6,7,4,8,9,1,5]=>00010010=>2
[2,3,4,8,1,5,9,7,6]=>00010011=>1
[2,3,4,7,1,8,9,10,5,6]=>000100010=>3
[2,5,6,3,7,8,9,4,1]=>00100011=>2
[2,3,7,8,4,5,6,1]=>0001001=>1
[2,3,7,1,4,8,9,6,5]=>00100011=>2
[2,3,6,1,7,8,9,10,5,4]=>001000011=>3
[4,5,2,6,7,8,9,3,1]=>01000011=>4
[2,6,7,3,4,8,5,1]=>0010011=>1
[2,6,1,3,7,8,9,4,5]=>01000010=>5
[2,5,1,6,7,8,9,10,4,3]=>010000011=>5
[5,1,2,6,7,8,9,4,3]=>10000011=>6
[4,1,5,6,7,8,9,10,2,3]=>100000010=>8
[1,5,3,2,6,4,7,8]=>0110100=>4
[1,5,3,2,6,7,4,8]=>0110010=>4
[1,7,3,2,8,5,4,6]=>0110110=>3
[1,7,3,2,5,8,4,6]=>0110010=>4
[1,3,2,7,5,4,8,6]=>0101101=>2
[6,5,2,4,3,7,1,8]=>1101010=>7
[6,4,2,5,3,7,1,8]=>1101010=>7
[5,4,7,6,2,3,1,8]=>1011010=>6
[3,6,4,8,2,1,5,7]=>0101100=>3
[1,6,2,8,5,3,4,7]=>0101100=>3
[4,6,2,3,7,5,1,8]=>0100110=>3
[4,7,2,3,6,5,1,8]=>0100110=>3
[4,7,2,3,5,6,1,8]=>0100010=>4
[5,3,2,7,4,6,1,8]=>1101010=>7
[5,3,2,6,4,7,1,8]=>1101010=>7
[4,6,2,3,5,7,1,8]=>0100010=>4
[3,5,2,1,6,8,4,7]=>0110010=>4
[1,5,2,6,8,4,3,7]=>0100110=>3
[1,5,7,2,8,4,3,6]=>0010110=>2
[3,5,2,1,8,6,4,7]=>0110110=>3
[3,6,8,4,2,1,5,7]=>0011100=>3
[4,3,2,6,1,8,5,7]=>1101010=>7
[1,5,8,2,7,4,3,6]=>0010110=>2
[1,7,2,3,4,8,6,5]=>0100011=>3
[6,8,2,3,4,1,7,5]=>0100101=>2
[4,1,8,2,3,5,7,6]=>1010001=>6
[2,3,1,8,4,5,7,6]=>0101001=>3
[7,3,2,1,4,5,8,6]=>1110001=>6
[7,8,1,4,3,5,2,6]=>0101010=>4
[7,1,2,3,4,6,8,5]=>1000001=>6
[6,1,2,3,4,8,7,5]=>1000011=>5
[1,8,2,3,4,7,6,5]=>0100011=>3
[8,1,2,3,4,6,7,5]=>1000001=>6
[2,8,1,3,5,4,7,6]=>0100101=>2
[8,7,1,4,3,5,2,6]=>1101010=>7
[8,3,2,1,4,5,7,6]=>1110001=>6
[3,8,2,1,5,6,4,7]=>0110010=>4
[3,8,2,1,6,5,4,7]=>0110110=>3
[1,7,8,3,5,4,2,6]=>0010110=>2
[7,4,1,8,3,5,2,6]=>1101010=>7
[8,4,1,7,3,5,2,6]=>1101010=>7
[3,8,4,6,2,1,5,7]=>0101100=>3
[8,4,2,5,3,1,6,7]=>1101100=>7
[8,5,2,4,3,1,6,7]=>1101100=>7
[8,3,2,5,4,1,6,7]=>1101100=>7
[4,3,2,5,1,8,6,7]=>1101010=>7
[3,5,2,4,1,8,6,7]=>0101010=>4
[2,4,7,8,1,5,3,6]=>0001010=>2
[1,8,7,3,5,4,2,6]=>0110110=>3
[5,1,8,2,7,4,3,6]=>1010110=>5
[5,1,7,2,8,4,3,6]=>1010110=>5
[6,1,2,8,5,3,4,7]=>1001100=>6
[6,3,2,1,8,4,5,7]=>1110100=>7
[7,3,2,8,4,5,1,6]=>1101010=>7
[2,7,8,4,3,5,1,6]=>0011010=>2
[7,1,8,3,5,4,2,6]=>1010110=>5
[7,8,2,3,4,6,1,5]=>0100010=>4
[6,7,1,3,4,8,2,5]=>0100010=>4
[6,8,1,3,4,7,2,5]=>0100010=>4
[1,7,2,3,4,6,8,5]=>0100001=>4
[1,6,2,3,4,8,7,5]=>0100011=>3
[7,6,2,3,4,1,8,5]=>1100101=>6
[8,6,2,3,4,1,7,5]=>1100101=>6
[8,1,7,3,5,4,2,6]=>1010110=>5
[8,3,2,7,4,5,1,6]=>1101010=>7
[6,7,2,3,4,1,8,5]=>0100101=>2
[7,6,2,3,4,8,1,5]=>1100010=>7
[8,6,2,3,4,7,1,5]=>1100010=>7
[6,3,4,8,7,5,1,2]=>1001110=>4
[4,8,7,3,5,6,1,2]=>0110010=>4
[4,8,7,5,3,6,1,2]=>0111010=>3
[5,8,7,3,4,6,1,2]=>0110010=>4
[5,8,4,2,1,6,7,3]=>0111001=>3
[5,8,4,1,2,6,7,3]=>0110001=>4
[5,3,7,2,6,1,8,4]=>1010101=>4
[5,2,8,1,6,3,7,4]=>1010101=>4
[5,8,2,1,4,7,6,3]=>0110011=>2
[4,8,2,5,1,7,6,3]=>0101011=>1
[7,8,4,1,2,6,5,3]=>0110011=>2
[4,8,1,5,2,7,6,3]=>0101011=>1
[5,8,1,2,4,7,6,3]=>0100011=>3
[5,2,8,3,6,7,1,4]=>1010010=>6
[3,8,7,6,2,4,1,5]=>0111010=>3
[2,8,7,6,4,1,3,5]=>0111100=>3
[7,8,2,6,5,1,3,4]=>0101100=>3
[1,8,7,6,4,2,3,5]=>0111100=>3
[2,8,7,6,3,1,4,5]=>0111100=>3
[1,8,7,6,2,4,3,5]=>0111010=>3
[1,8,7,6,3,4,2,5]=>0111010=>3
[2,8,1,4,5,6,7,3]=>0100001=>4
[2,1,7,3,6,5,8,4]=>1010101=>4
[3,1,7,2,6,5,8,4]=>1010101=>4
[3,2,7,1,6,5,8,4]=>1010101=>4
[6,1,2,8,5,7,3,4]=>1001010=>5
[6,2,1,8,5,7,3,4]=>1101010=>7
[6,3,1,8,5,7,2,4]=>1101010=>7
[6,4,2,1,7,5,8,3]=>1110101=>6
[6,1,3,8,5,2,7,4]=>1001101=>4
[2,3,7,1,6,8,5,4]=>0010011=>1
[1,3,7,2,6,8,5,4]=>0010011=>1
[7,8,2,6,5,3,1,4]=>0101110=>2
[3,2,6,7,5,8,1,4]=>1001010=>5
[1,2,7,5,6,3,8,4]=>0010101=>1
[2,8,7,6,4,3,1,5]=>0111110=>2
[3,8,7,6,1,2,5,4]=>0111001=>3
[3,8,7,6,2,1,5,4]=>0111101=>2
[4,8,7,6,2,1,3,5]=>0111100=>3
[4,8,7,6,1,3,2,5]=>0111010=>3
[3,8,7,6,4,1,2,5]=>0111100=>3
[7,8,3,6,5,1,2,4]=>0101100=>3
[2,3,7,5,6,8,1,4]=>0010010=>3
[3,8,7,6,4,2,1,5]=>0111110=>2
[5,1,4,6,8,2,3,7]=>1000100=>6
[1,7,6,3,5,4,8,2]=>0110101=>3
[4,3,7,2,6,5,1,8]=>1010110=>5
[3,4,6,1,5,7,2,8]=>0010010=>3
[1,6,8,5,7,3,4,2]=>0010101=>1
[2,4,1,5,8,6,3,7]=>0100110=>3
[4,6,1,2,5,8,3,7]=>0100010=>4
[5,6,7,2,1,4,8,3]=>0011001=>2
[7,8,6,5,1,2,4,3]=>0111001=>3
[1,3,6,5,7,8,2,4]=>0010010=>3
[7,4,8,5,3,1,6,2]=>1011101=>4
[6,8,5,2,4,1,7,3]=>0110101=>3
[2,3,1,6,8,5,7,4]=>0100101=>2
[7,3,2,5,1,4,8,6]=>1101001=>6
[7,1,4,2,3,6,8,5]=>1010001=>6
[1,5,8,3,4,6,7,2]=>0010001=>2
[8,3,1,2,4,7,6,5]=>1100011=>5
[2,3,8,1,6,5,4,7]=>0010110=>2
[8,1,4,7,2,5,3,6]=>1001010=>5
[3,5,2,4,1,7,8,6]=>0101001=>3
[3,4,7,8,6,2,1,5]=>0001110=>2
[3,4,8,6,2,7,1,5]=>0011010=>2
[5,8,2,1,6,7,3,4]=>0110010=>4
[5,7,2,8,6,4,3,1]=>0101111=>1
[6,1,2,7,5,3,8,4]=>1001101=>4
[7,3,2,8,6,4,1,5]=>1101110=>6
[2,7,8,4,6,3,1,5]=>0010110=>2
[1,4,5,7,2,6,8,3]=>0001001=>1
[7,3,5,2,6,1,8,4]=>1010101=>4
[8,5,2,3,6,1,7,4]=>1100101=>6
[8,1,6,3,5,7,2,4]=>1010010=>6
[2,8,6,4,3,7,1,5]=>0111010=>3
[8,3,2,6,4,7,1,5]=>1101010=>7
[2,3,8,7,6,5,1,4]=>0011110=>2
[1,2,8,7,3,6,5,4]=>0011011=>1
[4,2,8,7,3,6,1,5]=>1011010=>6
[4,5,8,7,1,2,6,3]=>0011001=>2
[1,5,8,7,3,2,6,4]=>0011101=>1
[4,5,8,7,3,2,1,6]=>0011110=>2
[2,6,8,1,7,5,4,3]=>0010111=>1
[3,6,8,4,7,2,1,5]=>0010110=>2
[2,5,8,3,7,6,1,4]=>0010110=>2
[3,2,8,4,7,6,1,5]=>1010110=>5
[1,5,8,3,7,2,6,4]=>0010101=>1
[3,5,8,4,7,2,1,6]=>0010110=>2
[5,6,8,2,3,7,1,4]=>0010010=>3
[1,6,8,4,2,7,5,3]=>0011011=>1
[1,5,8,4,2,7,6,3]=>0011011=>1
[1,5,8,2,3,7,6,4]=>0010011=>1
[2,1,8,4,3,7,6,5]=>1011011=>3
[2,5,8,4,3,7,1,6]=>0011010=>2
[5,6,8,4,1,2,7,3]=>0011001=>2
[5,6,8,1,3,2,7,4]=>0010101=>1
[1,6,8,4,3,2,7,5]=>0011101=>1
[5,6,8,4,3,2,1,7]=>0011110=>2
[7,1,2,8,6,5,4,3]=>1001111=>3
[7,1,4,8,6,2,5,3]=>1001101=>4
[7,3,1,8,6,2,5,4]=>1101101=>5
[7,2,4,8,3,6,1,5]=>1001010=>5
[7,1,4,8,3,2,6,5]=>1001101=>4
[7,4,5,8,3,2,1,6]=>1001110=>4
[1,6,2,8,7,5,4,3]=>0101111=>1
[1,6,4,8,7,2,5,3]=>0101101=>2
[3,6,4,8,7,2,1,5]=>0101110=>2
[3,2,5,8,7,6,1,4]=>1001110=>4
[3,2,4,8,7,6,1,5]=>1001110=>4
[3,1,5,8,7,2,6,4]=>1001101=>4
[3,1,4,8,7,2,6,5]=>1001101=>4
[1,6,4,8,2,7,5,3]=>0101011=>1
[1,4,5,8,2,7,6,3]=>0001011=>1
[2,4,5,8,3,7,1,6]=>0001010=>2
[4,6,5,8,1,2,7,3]=>0101001=>3
[1,6,4,8,3,2,7,5]=>0101101=>2
[1,4,5,8,3,2,7,6]=>0001101=>1
[7,6,1,4,8,2,5,3]=>1100101=>6
[7,6,1,3,8,2,5,4]=>1100101=>6
[7,6,3,4,8,2,1,5]=>1100110=>6
[7,2,5,1,8,6,4,3]=>1010111=>3
[7,2,5,3,8,6,1,4]=>1010110=>5
[7,2,1,4,8,6,5,3]=>1100111=>4
[7,2,1,3,8,6,5,4]=>1100111=>4
[7,2,3,4,8,6,1,5]=>1000110=>5
[7,3,5,4,8,2,1,6]=>1010110=>5
[2,6,5,1,8,7,4,3]=>0110111=>1
[2,3,5,4,8,7,1,6]=>0010110=>2
[1,6,5,4,8,2,7,3]=>0110101=>3
[1,6,5,3,8,2,7,4]=>0110101=>3
[1,6,3,4,8,2,7,5]=>0100101=>2
[1,3,5,4,8,2,7,6]=>0010101=>1
[3,6,5,4,8,2,1,7]=>0110110=>3
[7,6,5,2,3,8,1,4]=>1110010=>7
[7,6,1,4,2,8,5,3]=>1101011=>5
[7,6,1,2,3,8,5,4]=>1100011=>5
[7,6,2,4,3,8,1,5]=>1101010=>7
[7,1,5,4,2,8,6,3]=>1011011=>3
[7,1,5,2,3,8,6,4]=>1010011=>5
[7,1,2,4,3,8,6,5]=>1001011=>4
[2,6,5,4,3,8,1,7]=>0111010=>3
[7,6,1,4,3,2,8,5]=>1101101=>5
[7,1,5,4,3,2,8,6]=>1011101=>4
[3,4,2,6,7,8,1,5]=>0100010=>4
[3,1,4,2,6,8,7,5]=>1010011=>5
[8,3,4,2,6,1,7,5]=>1010101=>4
[2,6,7,3,5,4,1,8]=>0010110=>2
[2,7,8,3,5,4,1,6]=>0010110=>2
[2,6,8,3,5,4,1,7]=>0010110=>2
[4,7,1,2,8,5,3,6]=>0100110=>3
[4,8,1,2,7,5,3,6]=>0100110=>3
[2,1,6,3,7,5,4,8]=>1010110=>5
[2,7,1,3,6,8,4,5]=>0100010=>4
[6,7,3,2,8,1,4,5]=>0110100=>4
[7,3,4,2,6,1,8,5]=>1010101=>4
[7,4,1,2,8,5,3,6]=>1100110=>6
[8,7,4,2,1,5,3,6]=>1111010=>7
[7,4,1,2,6,5,3,8]=>1100110=>6
[7,4,3,1,5,6,8,2]=>1110001=>6
[6,7,4,1,5,8,3,2]=>0110011=>2
[4,7,5,1,6,8,3,2]=>0110011=>2
[4,5,3,1,7,6,8,2]=>0110101=>3
[4,6,1,2,7,5,3,8]=>0100110=>3
[2,7,1,3,6,5,4,8]=>0100110=>3
[4,1,8,2,6,5,3,7]=>1010110=>5
[4,6,1,2,8,5,3,7]=>0100110=>3
[8,4,3,1,5,6,7,2]=>1110001=>6
[4,5,3,1,8,6,7,2]=>0110101=>3
[4,8,5,6,3,1,7,2]=>0101101=>2
[5,1,3,4,8,6,7,2]=>1000101=>5
[5,4,3,8,1,6,7,2]=>1101001=>6
[8,5,3,4,1,6,7,2]=>1101001=>6
[6,4,8,2,1,5,3,7]=>1011010=>6
[6,7,3,2,5,1,4,8]=>0110100=>4
[6,8,3,2,5,1,4,7]=>0110100=>4
[5,7,1,4,6,8,3,2]=>0100011=>3
[5,1,3,4,7,6,8,2]=>1000101=>5
[6,1,4,2,7,5,3,8]=>1010110=>5
[5,4,3,7,1,6,8,2]=>1101001=>6
[6,7,5,4,1,8,3,2]=>0111011=>2
[7,6,4,2,1,5,3,8]=>1111010=>7
[8,2,7,6,5,4,1,3]=>1011110=>4
[7,2,8,6,5,4,3,1]=>1011111=>2
[8,1,9,7,6,5,4,3,2]=>10111111=>2
[2,10,9,8,7,6,5,4,1,3]=>011111110=>2
[9,2,8,7,6,5,4,1,3]=>10111110=>4
[3,9,8,7,6,5,4,1,2]=>01111110=>2
[8,7,2,6,5,4,1,3]=>1101110=>6
[3,2,8,7,6,5,1,4]=>1011110=>4
[4,8,7,6,5,3,1,2]=>0111110=>2
[7,8,6,1,5,4,3,2]=>0110111=>1
[8,9,1,7,6,5,4,3,2]=>01011111=>1
[7,3,8,6,5,4,2,1]=>1011111=>2
[8,2,9,7,6,5,4,3,1]=>10111111=>2
[9,1,10,8,7,6,5,4,3,2]=>101111111=>2
[4,8,5,7,6,3,2,1]=>0101111=>1
[3,8,7,4,6,5,2,1]=>0110111=>1
[2,8,7,6,3,5,4,1]=>0111011=>2
[8,5,6,1,3,2,4,7]=>1010100=>7
[8,6,1,5,3,2,4,7]=>1101100=>7
[7,8,1,5,3,2,4,6]=>0101100=>3
[8,1,7,5,3,2,4,6]=>1011100=>5
[8,6,1,4,5,2,3,7]=>1100100=>7
[8,6,3,1,5,2,4,7]=>1110100=>7
[8,4,6,1,5,2,3,7]=>1010100=>7
[8,6,2,1,5,4,3,7]=>1110110=>7
[8,5,2,6,1,4,3,7]=>1101010=>7
[8,5,2,1,7,4,3,6]=>1110110=>7
[7,8,2,1,5,4,3,6]=>0110110=>3
[7,8,3,1,5,2,4,6]=>0110100=>4
[8,2,7,5,1,3,4,6]=>1011000=>6
[8,4,1,7,5,2,3,6]=>1101100=>7
[8,2,7,1,5,4,3,6]=>1010110=>5
[8,2,6,1,7,4,3,5]=>1010110=>5
[8,1,7,4,3,2,6,5]=>1011101=>4
[8,1,5,7,3,2,6,4]=>1001101=>4
[5,7,8,1,3,2,6,4]=>0010101=>1
[8,2,6,1,5,7,3,4]=>1010010=>6
[5,8,1,6,7,2,3,4]=>0100100=>5
[5,7,6,1,8,2,3,4]=>0110100=>4
[6,7,2,5,1,8,3,4]=>0101010=>4
[7,5,1,6,8,2,3,4]=>1100100=>7
[6,5,7,1,8,2,3,4]=>1010100=>7
[6,7,3,8,1,2,4,5]=>0101000=>5
[7,5,4,1,8,2,3,6]=>1110100=>7
[7,6,1,4,8,2,3,5]=>1100100=>7
[8,1,6,4,7,2,3,5]=>1010100=>7
[7,5,8,1,3,2,4,6]=>1010100=>7
[7,8,4,1,3,2,5,6]=>0110100=>4
[8,3,7,4,1,2,5,6]=>1011000=>6
[8,5,1,7,3,2,4,6]=>1101100=>7
[6,8,1,7,3,2,4,5]=>0101100=>3
[7,1,8,4,3,6,2,5]=>1011010=>6
[7,3,1,8,6,4,2,5]=>1101110=>6
[8,3,1,7,4,6,2,5]=>1101010=>7
[8,4,5,1,7,2,3,6]=>1010100=>7
[5,6,8,1,7,2,3,4]=>0010100=>3
[6,5,8,1,2,7,3,4]=>1010010=>6
[7,3,1,8,5,6,2,4]=>1101010=>7
[6,2,7,8,3,1,5,4]=>1001101=>4
[5,8,1,7,3,2,6,4]=>0101101=>2
[8,4,1,7,3,2,6,5]=>1101101=>5
[8,3,4,7,1,2,6,5]=>1001001=>5
[8,2,7,4,1,3,6,5]=>1011001=>5
[7,4,8,2,1,3,6,5]=>1011001=>5
[7,4,3,8,1,2,6,5]=>1101001=>6
[8,2,3,6,7,1,5,4]=>1000101=>5
[2,6,8,7,1,5,4,3]=>0011011=>1
[7,8,5,2,3,6,4,1]=>0110011=>2
[8,7,5,2,3,1,6,4]=>1110101=>6
[6,8,5,2,3,4,7,1]=>0110001=>4
[3,5,2,6,8,1,4,7]=>0100100=>5
[3,5,2,4,6,8,1,7]=>0100010=>4
[2,4,5,7,3,6,8,1]=>0001001=>1
[2,4,5,3,6,8,1,7]=>0010010=>3
[5,2,4,6,8,1,3,7]=>1000100=>6
[5,1,3,4,6,8,2,7]=>1000010=>6
[4,3,5,2,6,8,1,7]=>1010010=>6
[4,3,5,7,2,8,1,6]=>1001010=>5
[4,3,5,7,2,6,8,1]=>1001001=>5
[4,6,3,7,2,5,8,1]=>0101001=>3
[4,6,3,1,7,8,2,5]=>0110010=>4
[4,3,5,1,7,8,2,6]=>1010010=>6
[5,7,1,3,4,8,2,6]=>0100010=>4
[5,7,1,3,4,6,8,2]=>0100001=>4
[4,5,7,1,3,6,8,2]=>0010001=>2
[4,3,6,7,1,5,8,2]=>1001001=>5
[4,6,3,5,1,7,8,2]=>0101001=>3
[4,6,3,5,7,2,8,1]=>0100101=>2
[3,5,6,4,1,7,8,2]=>0011001=>2
[3,1,5,6,7,4,8,2]=>1000101=>5
[5,1,6,7,3,4,8,2]=>1001001=>5
[6,4,7,1,3,5,8,2]=>1010001=>6
[1,6,7,3,4,5,8,2]=>0010001=>2
[2,6,7,4,5,8,1,3]=>0010010=>3
[2,6,7,4,8,1,3,5]=>0010100=>3
[5,3,6,1,2,7,8,4]=>1010001=>6
[3,5,2,6,1,7,8,4]=>0101001=>3
[3,5,2,6,7,4,8,1]=>0100101=>2
[5,2,3,6,7,4,8,1]=>1000101=>5
[5,2,3,6,1,7,8,4]=>1001001=>5
[5,2,6,1,3,7,8,4]=>1010001=>6
[4,2,6,7,3,5,8,1]=>1001001=>5
[6,3,7,2,4,5,8,1]=>1010001=>6
[3,5,7,2,8,1,4,6]=>0010100=>3
[3,7,2,4,8,1,5,6]=>0100100=>5
[7,2,4,6,8,1,3,5]=>1000100=>6
[7,1,3,4,6,8,2,5]=>1000010=>6
[3,7,2,4,6,8,1,5]=>0100010=>4
[3,5,7,2,6,8,1,4]=>0010010=>3
[6,3,7,2,5,8,1,4]=>1010010=>6
[6,3,5,7,2,8,1,4]=>1001010=>5
[6,3,5,7,2,4,8,1]=>1001001=>5
[6,2,4,5,7,3,8,1]=>1000101=>5
[6,2,4,5,1,7,8,3]=>1001001=>5
[4,7,1,2,5,6,8,3]=>0100001=>4
[2,6,7,5,8,1,3,4]=>0010100=>3
[4,6,7,1,2,5,8,3]=>0010001=>2
[5,6,2,4,7,3,8,1]=>0100101=>2
[5,4,2,6,7,3,8,1]=>1100101=>6
[5,4,2,6,1,7,8,3]=>1101001=>6
[1,5,4,6,2,7,8,3]=>0101001=>3
[5,6,4,1,2,7,8,3]=>0110001=>4
[6,4,5,1,2,7,8,3]=>1010001=>6
[6,3,5,1,7,8,2,4]=>1010010=>6
[6,5,7,2,8,1,3,4]=>1010100=>7
[6,5,7,1,3,4,8,2]=>1010001=>6
[5,6,4,7,1,3,8,2]=>0101001=>3
[5,4,6,3,1,7,8,2]=>1011001=>5
[7,5,3,2,4,8,1,6]=>1110010=>7
[8,4,5,2,6,1,3,7]=>1010100=>7
[8,5,4,2,1,6,3,7]=>1111010=>7
[8,5,3,4,1,6,2,7]=>1101010=>7
[8,4,5,3,1,6,2,7]=>1011010=>6
[7,5,4,2,1,8,3,6]=>1111010=>7
[7,5,4,2,1,6,8,3]=>1111001=>6
[7,4,5,3,1,6,8,2]=>1011001=>5
[7,4,3,5,6,1,8,2]=>1100101=>6
[5,6,3,7,4,1,8,2]=>0101101=>2
[5,6,7,3,1,4,8,2]=>0011001=>2
[6,7,3,4,1,5,8,2]=>0101001=>3
[6,7,4,2,1,5,8,3]=>0111001=>3
[5,6,7,3,1,8,2,4]=>0011010=>2
[5,6,3,7,8,1,2,4]=>0100100=>5
[5,6,3,7,2,4,8,1]=>0101001=>3
[5,6,7,2,3,8,1,4]=>0010010=>3
[7,4,5,2,8,1,3,6]=>1010100=>7
[6,7,3,2,4,8,1,5]=>0110010=>4
[7,6,4,2,1,3,8,5]=>1111001=>6
[7,6,3,4,1,2,8,5]=>1101001=>6
[7,6,3,2,4,1,8,5]=>1110101=>6
[6,7,3,2,5,1,8,4]=>0110101=>3
[6,5,3,2,7,8,1,4]=>1110010=>7
[6,5,3,2,7,4,8,1]=>1110101=>6
[6,4,5,2,7,3,8,1]=>1010101=>4
[6,4,5,2,7,8,1,3]=>1010010=>6
[7,4,5,2,6,1,8,3]=>1010101=>4
[7,4,5,6,1,2,8,3]=>1001001=>5
[7,5,6,2,1,3,8,4]=>1011001=>5
[6,7,3,5,1,2,8,4]=>0101001=>3
[5,6,7,4,1,2,8,3]=>0011001=>2
[5,6,7,2,4,1,8,3]=>0010101=>1
[5,6,4,2,7,8,1,3]=>0110010=>4
[6,5,7,2,1,8,3,4]=>1011010=>6
[6,5,7,2,1,4,8,3]=>1011001=>5
[5,4,6,7,3,1,8,2]=>1001101=>4
[5,7,8,3,6,4,1,2]=>0010110=>2
[3,7,8,5,6,4,1,2]=>0010110=>2
[3,7,8,5,6,1,4,2]=>0010101=>1
[1,7,8,5,6,3,4,2]=>0010101=>1
[1,7,5,8,6,3,4,2]=>0101101=>2
[3,7,5,8,6,1,4,2]=>0101101=>2
[3,7,5,8,6,4,1,2]=>0101110=>2
[5,7,3,8,6,4,1,2]=>0101110=>2
[7,3,8,5,6,4,1,2]=>1010110=>5
[7,3,5,8,6,4,1,2]=>1001110=>4
[3,5,7,8,6,4,1,2]=>0001110=>2
[1,5,7,8,6,3,4,2]=>0001101=>1
[1,5,7,8,3,6,4,2]=>0001011=>1
[3,5,7,8,1,6,4,2]=>0001011=>1
[5,3,7,8,1,6,4,2]=>1001011=>4
[7,3,5,8,6,1,4,2]=>1001101=>4
[7,3,8,5,6,1,4,2]=>1010101=>4
[7,8,1,5,6,3,4,2]=>0100101=>2
[7,1,8,5,6,3,4,2]=>1010101=>4
[7,1,5,8,6,3,4,2]=>1001101=>4
[5,1,7,8,3,6,4,2]=>1001011=>4
[3,1,7,8,5,6,4,2]=>1001011=>4
[1,3,7,8,5,6,4,2]=>0001011=>1
[3,1,7,5,8,6,4,2]=>1010111=>3
[5,1,7,3,8,6,4,2]=>1010111=>3
[7,1,5,3,8,6,4,2]=>1010111=>3
[7,1,5,8,3,6,4,2]=>1001011=>4
[7,8,1,5,3,6,4,2]=>0101011=>1
[7,8,3,5,1,6,4,2]=>0101011=>1
[7,3,5,8,1,6,4,2]=>1001011=>4
[5,3,7,1,8,6,4,2]=>1010111=>3
[3,5,7,1,8,6,4,2]=>0010111=>1
[1,7,5,3,8,6,4,2]=>0110111=>1
[5,7,3,1,8,6,4,2]=>0110111=>1
[5,7,3,8,6,1,4,2]=>0101101=>2
[3,7,5,8,1,6,4,2]=>0101011=>1
[1,7,5,8,3,6,4,2]=>0101011=>1
[1,7,8,5,3,6,4,2]=>0011011=>1
[3,7,8,5,1,6,4,2]=>0011011=>1
[5,7,8,3,6,1,4,2]=>0010101=>1
[5,7,8,6,3,1,4,2]=>0011101=>1
[7,5,8,6,1,3,4,2]=>1011001=>5
[5,7,8,1,6,3,4,2]=>0010101=>1
[5,7,8,1,3,6,4,2]=>0010011=>1
[3,7,8,1,5,6,4,2]=>0010011=>1
[1,7,8,3,5,6,4,2]=>0010011=>1
[1,7,3,8,5,6,4,2]=>0101011=>1
[3,7,1,8,5,6,4,2]=>0101011=>1
[5,7,1,8,3,6,4,2]=>0101011=>1
[5,7,1,8,6,3,4,2]=>0101101=>2
[7,5,1,8,6,3,4,2]=>1101101=>5
[7,5,8,1,6,3,4,2]=>1010101=>4
[7,8,5,1,6,3,4,2]=>0110101=>3
[7,8,5,1,3,6,4,2]=>0110011=>2
[7,5,8,1,3,6,4,2]=>1010011=>5
[7,5,1,8,3,6,4,2]=>1101011=>5
[7,5,1,3,8,6,4,2]=>1100111=>4
[5,7,1,3,8,6,4,2]=>0100111=>2
[3,7,1,5,8,6,4,2]=>0100111=>2
[1,7,3,5,8,6,4,2]=>0100111=>2
[1,5,3,7,8,6,4,2]=>0100111=>2
[3,5,1,7,8,6,4,2]=>0100111=>2
[5,3,1,7,8,6,4,2]=>1100111=>4
[7,3,1,5,8,6,4,2]=>1100111=>4
[7,3,1,8,5,6,4,2]=>1101011=>5
[7,3,8,1,5,6,4,2]=>1010011=>5
[7,8,3,1,5,6,4,2]=>0110011=>2
[7,8,1,3,5,6,4,2]=>0100011=>3
[7,1,8,3,5,6,4,2]=>1010011=>5
[7,1,3,8,5,6,4,2]=>1001011=>4
[7,1,3,5,8,6,4,2]=>1000111=>4
[3,1,5,7,8,6,4,2]=>1000111=>4
[5,7,3,4,6,8,1,2]=>0100010=>4
[5,7,3,4,8,6,1,2]=>0100110=>3
[5,7,3,4,8,1,6,2]=>0100101=>2
[5,7,3,4,1,8,6,2]=>0101011=>1
[5,7,3,4,1,6,8,2]=>0101001=>3
[5,7,3,4,6,1,2,8]=>0100100=>5
[7,3,5,6,1,2,8,4]=>1001001=>5
[5,7,3,1,4,6,2,8]=>0110010=>4
[5,7,3,1,4,6,8,2]=>0110001=>4
[5,7,3,1,4,8,6,2]=>0110011=>2
[5,7,3,1,4,8,2,6]=>0110010=>4
[5,3,7,4,1,2,8,6]=>1011001=>5
[5,3,7,4,1,2,6,8]=>1011000=>6
[5,3,7,1,4,2,6,8]=>1010100=>7
[5,3,7,1,4,2,8,6]=>1010101=>4
[3,7,5,1,2,8,6,4]=>0110011=>2
[7,8,3,5,1,2,6,4]=>0101001=>3
[7,3,8,5,1,2,6,4]=>1011001=>5
[7,3,5,8,1,2,6,4]=>1001001=>5
[3,7,5,1,2,6,4,8]=>0110010=>4
[3,7,5,1,2,6,8,4]=>0110001=>4
[6,1,4,3,5,2,8,7]=>1010101=>4
[2,5,7,3,8,4,1,6]=>0010110=>2
[5,4,7,8,6,1,3,2]=>1001101=>4
[7,5,6,2,8,3,1,4]=>1010110=>5
[4,7,2,5,8,3,1,6]=>0100110=>3
[6,2,4,5,1,3,8,7]=>1001001=>5
[5,1,4,6,3,2,8,7]=>1001101=>4
[3,5,6,2,4,1,8,7]=>0010101=>1
[3,8,6,7,5,4,1,2]=>0101110=>2
[6,2,7,8,3,4,1,5]=>1001010=>5
[2,5,3,4,8,1,7,6]=>0100101=>2
[8,7,1,2,5,3,4,6]=>1100100=>7
[5,1,8,2,3,4,7,6]=>1010001=>6
[5,4,7,6,2,8,1,3]=>1011010=>6
[3,7,8,1,5,4,6,2]=>0010101=>1
[7,1,3,4,6,8,5,2]=>1000011=>5
[8,3,6,5,7,1,4,2]=>1010101=>4
[5,8,7,1,4,6,2,3]=>0110010=>4
[4,7,6,1,8,3,5,2]=>0110101=>3
[4,7,2,6,3,8,5,1]=>0101011=>1
[2,1,8,4,6,7,3,5]=>1010010=>6
[4,7,8,6,3,1,2,5]=>0011100=>3
[3,8,1,5,6,7,2,4]=>0100010=>4
[6,7,2,4,8,5,3,1]=>0100111=>2
[2,8,3,6,7,5,1,4]=>0100110=>3
[8,2,1,7,6,3,5,4]=>1101101=>5
[3,2,4,5,8,1,7,6]=>1000101=>5
[7,4,6,3,2,1,8,5]=>1011101=>4
[4,7,3,2,1,8,6,5]=>0111011=>2
[6,4,7,5,2,3,8,1]=>1011001=>5
[6,4,8,1,7,3,2,5]=>1010110=>5
[4,8,7,2,3,1,5,6]=>0110100=>4
[4,2,3,1,8,7,5,6]=>1010110=>5
[7,6,8,1,3,5,2,4]=>1010010=>6
[6,7,5,2,3,1,8,4]=>0110101=>3
[4,7,2,6,5,1,8,3]=>0101101=>2
[6,4,2,1,8,5,7,3]=>1110101=>6
[7,2,1,5,6,8,4,3]=>1100011=>5
[8,7,2,6,4,1,5,3]=>1101101=>5
[6,7,8,2,5,3,1,4]=>0010110=>2
[2,1,7,3,6,8,5,4]=>1010011=>5
[2,1,5,7,8,4,6,3]=>1000101=>5
[2,5,7,8,3,6,1,4]=>0001010=>2
[6,4,1,5,7,2,8,3]=>1100101=>6
[7,4,8,1,2,5,6,3]=>1010001=>6
[4,2,7,8,6,3,5,1]=>1001101=>4
[6,1,7,4,3,2,8,5]=>1011101=>4
[6,8,3,4,2,1,7,5]=>0101101=>2
[4,2,6,1,5,7,8,3]=>1010001=>6
[2,4,6,7,3,5,8,1]=>0001001=>1
[6,5,8,3,7,4,1,2]=>1010110=>5
[7,1,4,8,3,5,6,2]=>1001001=>5
[6,8,7,5,3,4,1,2]=>0111010=>3
[4,8,6,3,1,5,7,2]=>0111001=>3
[3,4,8,2,5,7,6,1]=>0010011=>1
[3,5,7,2,8,6,1,4]=>0010110=>2
[2,5,7,4,8,6,1,3]=>0010110=>2
[2,6,3,7,5,1,8,4]=>0101101=>2
[2,6,4,8,7,5,1,3]=>0101110=>2
[6,3,7,2,8,5,1,4]=>1010110=>5
[3,6,2,5,8,7,1,4]=>0100110=>3
[5,2,8,4,7,6,1,3]=>1010110=>5
[7,2,4,8,6,5,1,3]=>1001110=>4
[6,2,4,8,7,5,1,3]=>1001110=>4
[2,4,5,8,7,6,1,3]=>0001110=>2
[4,2,7,3,8,1,6,5]=>1010101=>4
[2,5,1,4,7,3,8,6]=>0100101=>2
[6,1,3,8,7,2,5,4]=>1001101=>4
[3,1,5,6,2,8,7,4]=>1001011=>4
[4,1,5,2,8,7,6,3]=>1010111=>3
[7,1,4,2,8,6,5,3]=>1010111=>3
[4,1,5,3,2,8,7,6]=>1011011=>3
[7,2,3,5,1,8,6,4]=>1001011=>4
[3,4,5,1,8,7,6,2]=>0010111=>1
[1,4,5,2,8,7,6,3]=>0010111=>1
[1,6,4,2,8,7,5,3]=>0110111=>1
[5,6,3,1,8,7,4,2]=>0110111=>1
[7,4,2,5,1,8,6,3]=>1101011=>5
[5,3,6,2,8,1,7,4]=>1010101=>4
[4,6,2,7,5,1,8,3]=>0101101=>2
[1,5,3,6,2,8,7,4]=>0101011=>1
[1,5,8,3,2,7,6,4]=>0011011=>1
[4,5,8,2,1,7,6,3]=>0011011=>1
[3,6,2,5,1,4,8,7]=>0101001=>3
[5,2,8,4,1,3,7,6]=>1011001=>5
[2,4,8,7,1,3,6,5]=>0011001=>2
[1,3,8,2,4,7,6,5]=>0010011=>1
[6,3,1,7,2,8,5,4]=>1101011=>5
[7,5,1,2,8,6,4,3]=>1100111=>4
[1,5,2,3,8,7,6,4]=>0100111=>2
[4,5,1,2,8,7,6,3]=>0100111=>2
[6,4,1,2,8,7,5,3]=>1100111=>4
[5,3,1,7,2,8,6,4]=>1101011=>5
[5,2,8,1,3,7,6,4]=>1010011=>5
[4,7,5,6,8,3,1,2]=>0100110=>3
[8,6,4,7,5,3,1,2]=>1101110=>6
[1,6,3,7,5,8,4,2]=>0101011=>1
[1,3,7,4,5,8,6,2]=>0010011=>1
[6,8,4,7,5,3,1,2]=>0101110=>2
[4,8,7,5,6,3,1,2]=>0110110=>3
[8,6,5,2,1,4,3,7]=>1111010=>7
[2,7,6,3,1,4,5,8]=>0111000=>4
[2,7,6,4,5,1,3,8]=>0110100=>4
[5,7,2,6,4,1,3,8]=>0101100=>3
[1,8,2,7,3,6,5,4]=>0101011=>1
[2,1,3,8,4,7,5,6]=>1001010=>5
[8,1,2,7,4,3,6,5]=>1001101=>4
[8,7,2,1,5,4,3,6]=>1110110=>7
[2,4,8,3,1,5,6,7]=>0011000=>4
[4,7,3,8,2,1,5,6]=>0101100=>3
[5,2,7,3,1,4,6,8]=>1011000=>6
[8,3,7,2,1,5,4,6]=>1011010=>6
[2,6,4,5,7,1,3,8]=>0100100=>5
[7,6,3,1,8,4,5,2]=>1110101=>6
[1,7,5,8,6,4,3,2]=>0101111=>1
[6,5,1,2,8,3,7,4]=>1100101=>6
[6,8,4,1,3,7,5,2]=>0110011=>2
[5,8,3,1,7,4,6,2]=>0110101=>3
[8,3,1,7,5,4,6,2]=>1101101=>5
[1,2,8,7,6,3,5,4]=>0011101=>1
[2,3,1,8,7,4,5,6]=>0101100=>3
[2,4,1,8,5,7,3,6]=>0101010=>4
[5,8,2,1,7,6,3,4]=>0110110=>3
[6,2,7,1,8,5,3,4]=>1010110=>5
[8,7,1,6,5,4,3,2]=>1101111=>3
[7,1,8,3,6,5,4,2]=>1010111=>3
[8,1,2,3,4,5,9,6,7]=>10000010=>7
[8,1,2,3,4,9,5,6,7]=>10000100=>7
[8,1,2,9,3,4,5,6,7]=>10010000=>8
[8,1,9,2,3,4,5,6,7]=>10100000=>8
[6,1,2,3,4,5,8,9,7]=>10000001=>7
[9,1,2,3,4,5,6,10,7,8]=>100000010=>8
[5,1,2,3,4,8,9,6,7]=>10000010=>7
[9,1,2,3,4,5,10,6,7,8]=>100000100=>8
[4,1,2,3,8,9,5,6,7]=>10000100=>7
[3,1,2,8,9,4,5,6,7]=>10001000=>8
[9,1,2,3,10,4,5,6,7,8]=>100010000=>9
[2,1,8,9,3,4,5,6,7]=>10010000=>8
[9,1,2,10,3,4,5,6,7,8]=>100100000=>9
[3,5,8,7,2,6,4,1]=>0011011=>1
[5,8,2,7,1,6,4,3]=>0101011=>1
[2,1,6,4,5,8,3,7]=>1010010=>6
[8,6,3,7,5,2,1,4]=>1101110=>6
[4,6,3,8,5,2,1,7]=>0101110=>2
[4,6,3,7,5,2,8,1]=>0101101=>2
[3,5,7,8,2,6,1,4]=>0001010=>2
[7,2,3,4,6,8,5,1]=>1000011=>5
[4,2,3,6,1,5,8,7]=>1001001=>5
[4,8,3,7,5,1,6,2]=>0101101=>2
[5,2,3,4,8,7,1,6]=>1000110=>5
[5,2,3,4,6,8,1,7]=>1000010=>6
[4,2,8,5,7,6,1,3]=>1010110=>5
[3,7,6,4,5,1,8,2]=>0110101=>3
[3,8,6,4,5,1,2,7]=>0110100=>4
[4,8,3,7,5,2,1,6]=>0101110=>2
[8,7,3,6,5,1,2,4]=>1101100=>7
[4,2,7,5,8,6,3,1]=>1010111=>3
[5,8,1,7,3,6,4,2]=>0101011=>1
[5,2,7,8,4,6,3,1]=>1001011=>4
[5,2,8,3,7,6,1,4]=>1010110=>5
[8,2,7,3,1,6,4,5]=>1011010=>6
[6,2,3,4,8,5,1,7]=>1000110=>5
[6,2,3,4,1,8,5,7]=>1001010=>5
[7,2,3,4,1,8,6,5]=>1001011=>4
[7,2,3,4,1,5,8,6]=>1001001=>5
[1,2,3,4,8,7,5,6]=>0000110=>2
[1,2,8,5,3,4,6,7]=>0011000=>4
[1,8,4,2,3,5,6,7]=>0110000=>5
[8,6,7,4,1,5,3,2]=>1011011=>3
[4,8,6,7,5,1,3,2]=>0101101=>2
[7,1,8,4,6,5,2,3]=>1010110=>5
[8,7,1,5,4,6,2,3]=>1101010=>7
[8,5,7,1,4,6,3,2]=>1010011=>5
[6,4,8,5,1,7,3,2]=>1011011=>3
[4,8,5,7,1,6,3,2]=>0101011=>1
[8,4,7,1,5,6,3,2]=>1010011=>5
[8,7,1,4,5,6,3,2]=>1100011=>5
[8,7,4,5,6,1,3,2]=>1100101=>6
[8,7,5,1,4,6,2,3]=>1110010=>7
[8,7,2,5,1,4,6,3]=>1101001=>6
[4,8,7,2,5,1,6,3]=>0110101=>3
[1,6,4,8,5,2,7,3]=>0101101=>2
[8,7,1,4,2,5,6,3]=>1101001=>6
[8,7,5,1,2,4,6,3]=>1110001=>6
[7,1,8,5,6,2,3,4]=>1010100=>7
[3,8,7,1,2,5,6,4]=>0110001=>4
[3,5,8,7,1,2,6,4]=>0011001=>2
[2,3,8,5,7,1,6,4]=>0010101=>1
[3,8,7,1,5,6,2,4]=>0110010=>4
[3,5,8,7,1,6,2,4]=>0011010=>2
[2,3,8,6,7,5,1,4]=>0010110=>2
[3,2,8,6,7,5,1,4]=>1010110=>5
[4,1,8,6,2,7,5,3]=>1011011=>3
[8,7,4,1,2,6,5,3]=>1110011=>5
[1,3,8,6,7,5,2,4]=>0010110=>2
[5,7,1,8,2,6,3,4]=>0101010=>4
[2,8,7,1,5,6,3,4]=>0110010=>4
[8,7,1,5,2,4,6,3]=>1101001=>6
[7,1,8,2,4,6,5,3]=>1010011=>5
[1,6,2,8,4,7,5,3]=>0101011=>1
[1,3,8,5,7,2,6,4]=>0010101=>1
[1,8,3,7,2,5,6,4]=>0101001=>3
[2,8,7,1,3,5,6,4]=>0110001=>4
[5,7,1,8,2,3,6,4]=>0101001=>3
[7,1,8,2,3,5,6,4]=>1010001=>6
[8,6,3,7,4,1,5,2]=>1101101=>5
[4,2,8,6,7,5,1,3]=>1010110=>5
[8,4,2,7,5,6,1,3]=>1101010=>7
[4,8,3,6,1,7,5,2]=>0101011=>1
[8,3,4,7,5,1,6,2]=>1001101=>4
[8,3,7,4,5,1,6,2]=>1010101=>4
[8,7,4,2,5,6,1,3]=>1110010=>7
[8,7,5,1,6,2,3,4]=>1110100=>7
[8,7,2,4,1,5,6,3]=>1101001=>6
[4,8,6,1,7,2,5,3]=>0110101=>3
[4,7,1,8,2,6,5,3]=>0101011=>1
[4,2,8,6,7,1,5,3]=>1010101=>4
[8,7,4,1,2,5,6,3]=>1110001=>6
[8,2,7,1,6,3,4,5]=>1010100=>7
[8,2,7,1,3,6,4,5]=>1010010=>6
[2,8,3,6,7,1,5,4]=>0100101=>2
[8,7,2,1,3,5,6,4]=>1110001=>6
[1,8,7,2,3,6,4,5]=>0110010=>4
[1,8,7,2,6,3,4,5]=>0110100=>4
[8,2,7,3,6,1,4,5]=>1010100=>7
[1,8,7,3,6,2,4,5]=>0110100=>4
[1,8,2,7,6,3,4,5]=>0101100=>3
[8,2,7,4,1,5,6,3]=>1011001=>5
[8,2,1,7,5,6,3,4]=>1101010=>7
[8,7,3,1,5,6,2,4]=>1110010=>7
[2,8,7,3,5,6,1,4]=>0110010=>4
[8,3,1,6,7,5,2,4]=>1100110=>6
[8,5,2,1,6,7,4,3]=>1110011=>5
[1,5,2,8,6,7,4,3]=>0101011=>1
[1,2,8,6,7,5,3,4]=>0010110=>2
[1,8,3,6,7,5,2,4]=>0100110=>3
[8,2,3,6,7,5,1,4]=>1000110=>5
[8,3,7,2,5,6,1,4]=>1010010=>6
[8,1,3,7,5,6,2,4]=>1001010=>5
[8,4,1,2,7,5,6,3]=>1100101=>6
[8,1,4,2,6,7,5,3]=>1010011=>5
[1,2,8,6,7,3,5,4]=>0010101=>1
[8,1,2,7,3,6,4,5]=>1001010=>5
[8,1,7,3,6,2,4,5]=>1010100=>7
[8,1,7,2,6,3,4,5]=>1010100=>7
[8,1,7,2,3,6,4,5]=>1010010=>6
[8,1,3,7,2,5,6,4]=>1001001=>5
[1,8,3,6,7,2,5,4]=>0100101=>2
[1,7,8,2,3,6,5,4]=>0010011=>1
[8,3,7,1,2,5,6,4]=>1010001=>6
[8,7,1,2,3,6,4,5]=>1100010=>7
[2,8,5,7,4,6,3,1]=>0101011=>1
[3,1,8,5,7,4,2,6]=>1010110=>5
[8,3,5,7,4,2,6,1]=>1001101=>4
[8,3,6,2,4,5,7,1]=>1010001=>6
[2,8,6,4,3,5,7,1]=>0111001=>3
[2,6,8,3,5,4,7,1]=>0010101=>1
[2,7,5,8,4,6,3,1]=>0101011=>1
[8,4,2,7,6,1,3,5]=>1101100=>7
[4,8,1,7,6,3,2,5]=>0101110=>2
[4,1,7,6,2,3,5,8]=>1011000=>6
[3,7,1,8,6,2,5,4]=>0101101=>2
[3,1,7,6,4,5,2,8]=>1011010=>6
[3,1,7,5,8,4,2,6]=>1010110=>5
[3,1,6,8,7,5,2,4]=>1001110=>4
[6,3,8,7,5,2,4,1]=>1011101=>4
[7,3,5,8,4,2,6,1]=>1001101=>4
[7,3,6,4,2,8,5,1]=>1011011=>3
[7,8,3,6,2,5,4,1]=>0101011=>1
[7,4,8,2,1,6,3,5]=>1011010=>6
[8,7,4,6,3,2,5,1]=>1101101=>5
[7,8,5,2,1,4,3,6]=>0111010=>3
[7,5,2,3,1,4,8,6]=>1101001=>6
[7,4,6,2,3,8,1,5]=>1010010=>6
[6,4,2,5,8,3,7,1]=>1100101=>6
[4,6,5,8,1,3,2,7]=>0101010=>4
[4,7,1,5,3,8,2,6]=>0101010=>4
[4,7,8,1,3,6,2,5]=>0010010=>3
[5,7,1,3,4,6,2,8]=>0100010=>4
[5,7,1,4,2,3,6,8]=>0101000=>5
[5,8,1,3,2,4,6,7]=>0101000=>5
[4,8,6,1,3,2,7,5]=>0110101=>3
[8,4,6,2,1,3,7,5]=>1011001=>5
[5,4,8,7,2,3,6,1]=>1011001=>5
[5,4,8,7,3,1,2,6]=>1011100=>5
[6,8,3,7,2,5,4,1]=>0101011=>1
[5,4,6,8,2,3,7,1]=>1001001=>5
[5,7,4,2,8,3,6,1]=>0110101=>3
[6,4,7,2,1,8,3,5]=>1011010=>6
[6,5,3,4,1,2,8,7]=>1101001=>6
[6,8,5,4,1,3,2,7]=>0111010=>3
[6,4,3,7,1,5,2,8]=>1101010=>7
[9,8,7,6,5,2,3,1,4]=>11111010=>8
[9,8,7,6,3,4,2,1,5]=>11110110=>8
[9,8,7,4,5,3,2,1,6]=>11101110=>8
[9,8,5,6,4,3,2,1,7]=>11011110=>6
[9,6,7,5,4,3,2,1,8]=>10111110=>4
[7,4,2,6,1,5,3,8]=>1101010=>7
[7,4,2,5,6,1,3,8]=>1100100=>7
[6,4,2,8,1,5,7,3]=>1101001=>6
[6,3,7,8,2,5,1,4]=>1001010=>5
[7,3,5,6,4,2,1,8]=>1001110=>4
[7,4,3,1,5,6,2,8]=>1110010=>7
[7,4,5,2,6,1,3,8]=>1010100=>7
[5,3,7,2,8,6,4,1]=>1010111=>3
[5,3,8,2,6,7,4,1]=>1010011=>5
[6,3,8,2,5,4,7,1]=>1010101=>4
[6,4,8,2,1,5,7,3]=>1011001=>5
[6,4,3,1,8,2,7,5]=>1110101=>6
[5,3,7,8,2,6,4,1]=>1001011=>4
[4,7,8,5,6,3,2,1]=>0010111=>1
[5,3,7,6,8,2,4,1]=>1010101=>4
[5,7,8,4,6,2,1,3]=>0010110=>2
[5,8,4,3,6,7,1,2]=>0110010=>4
[5,8,6,4,7,2,1,3]=>0110110=>3
[5,3,8,6,2,7,4,1]=>1011011=>3
[4,7,5,8,6,3,2,1]=>0101111=>1
[4,8,6,7,5,3,2,1]=>0101111=>1
[6,3,8,7,2,4,1,5]=>1011010=>6
[5,3,8,7,2,6,4,1]=>1011011=>3
[5,3,8,6,7,2,4,1]=>1010101=>4
[5,3,7,8,6,2,4,1]=>1001101=>4
[5,7,6,4,8,2,1,3]=>0110110=>3
[5,8,4,6,7,2,1,3]=>0100110=>3
[6,4,2,8,1,7,3,5]=>1101010=>7
[6,5,2,4,3,7,8,1]=>1101001=>6
[5,4,6,2,8,7,1,3]=>1010110=>5
[5,6,3,8,7,2,4,1]=>0101101=>2
[6,7,4,3,1,8,2,5]=>0111010=>3
[5,7,4,3,6,8,1,2]=>0110010=>4
[5,7,3,8,6,2,4,1]=>0101101=>2
[4,5,8,6,7,3,2,1]=>0010111=>1
[4,6,8,5,7,3,2,1]=>0010111=>1
[5,6,8,3,7,2,4,1]=>0010101=>1
[5,4,6,8,2,7,1,3]=>1001010=>5
[5,7,8,2,6,4,1,3]=>0010110=>2
[1,7,4,8,6,2,3,5]=>0101100=>3
[3,6,2,5,7,8,1,4]=>0100010=>4
[5,2,7,4,6,8,1,3]=>1010010=>6
[5,3,6,7,1,8,4,2]=>1001011=>4
[4,2,5,6,7,1,8,3]=>1000101=>5
[8,1,3,6,7,2,4,5]=>1000100=>6
[8,1,4,2,5,6,3,7]=>1010010=>6
[8,1,4,2,7,5,3,6]=>1010110=>5
[6,1,3,8,2,7,4,5]=>1001010=>5
[7,3,4,1,5,8,6,2]=>1010011=>5
[1,7,5,2,8,6,3,4]=>0110110=>3
[3,7,4,1,8,5,6,2]=>0110101=>3
[5,6,3,1,7,8,4,2]=>0110011=>2
[3,6,4,8,1,5,7,2]=>0101001=>3
[1,5,8,4,2,6,3,7]=>0011010=>2
[3,5,7,4,1,6,8,2]=>0011001=>2
[3,5,7,1,2,6,4,8]=>0010010=>3
[4,5,1,8,2,3,7,6]=>0101001=>3
[4,7,1,8,2,6,3,5]=>0101010=>4
[7,5,1,2,3,8,6,4]=>1100011=>5
[6,4,1,2,7,3,8,5]=>1100101=>6
[5,2,6,1,3,4,8,7]=>1010001=>6
[7,8,4,5,1,3,2,6]=>0101010=>4
[6,7,1,3,2,5,4,8]=>0101010=>4
[6,7,1,4,3,5,2,8]=>0101010=>4
[7,8,2,3,1,5,4,6]=>0101010=>4
[7,8,2,4,3,5,1,6]=>0101010=>4
[7,8,2,4,1,5,3,6]=>0101010=>4
[1,4,2,6,5,7,3,8]=>0101010=>4
[5,6,1,4,2,7,3,8]=>0101010=>4
[6,7,2,4,1,5,3,8]=>0101010=>4
[6,7,2,4,3,5,1,8]=>0101010=>4
[6,7,2,3,1,5,4,8]=>0101010=>4
[6,7,3,5,4,8,1,2]=>0101010=>4
[2,4,1,6,5,7,3,8]=>0101010=>4
[1,5,2,6,4,7,3,8]=>0101010=>4
[2,5,1,6,4,7,3,8]=>0101010=>4
[3,6,5,7,4,8,1,2]=>0101010=>4
[5,6,2,4,3,7,1,8]=>0101010=>4
[4,5,2,6,1,7,3,8]=>0101010=>4
[4,5,1,6,3,7,2,8]=>0101010=>4
[4,5,3,6,1,7,2,8]=>0101010=>4
[5,6,3,4,1,7,2,8]=>0101010=>4
[5,6,1,4,3,7,2,8]=>0101010=>4
[5,6,1,3,2,7,4,8]=>0101010=>4
[5,6,4,7,1,3,2,8]=>0101010=>4
[6,7,4,5,1,3,2,8]=>0101010=>4
[6,7,5,8,1,3,2,4]=>0101010=>4
[4,5,1,3,2,7,6,8]=>0101010=>4
[4,6,5,7,1,3,2,8]=>0101010=>4
[4,6,1,3,2,7,5,8]=>0101010=>4
[1,4,3,6,2,7,5,8]=>0101010=>4
[3,4,1,6,5,7,2,8]=>0101010=>4
[4,5,2,3,1,7,6,8]=>0101010=>4
[4,5,3,7,6,8,1,2]=>0101010=>4
[4,6,5,7,3,8,1,2]=>0101010=>4
[4,6,5,7,2,3,1,8]=>0101010=>4
[3,5,4,6,1,7,2,8]=>0101010=>4
[3,5,1,6,4,7,2,8]=>0101010=>4
[1,5,3,6,4,7,2,8]=>0101010=>4
[1,5,3,6,2,7,4,8]=>0101010=>4
[3,5,2,6,1,7,4,8]=>0101010=>4
[3,5,2,6,4,7,1,8]=>0101010=>4
[3,4,2,6,1,7,5,8]=>0101010=>4
[4,6,2,3,1,7,5,8]=>0101010=>4
[2,4,3,6,1,7,5,8]=>0101010=>4
[2,5,3,6,4,7,1,8]=>0101010=>4
[2,5,3,6,1,7,4,8]=>0101010=>4
[3,6,2,7,5,4,8,1]=>0101101=>2
[4,6,1,7,3,8,2,5]=>0101010=>4
[5,2,6,7,4,3,8,1]=>1001101=>4
[3,5,2,7,6,4,8,1]=>0101101=>2
[1,5,7,2,8,3,6,4]=>0010101=>1
[2,5,7,3,1,8,4,6]=>0011010=>2
[1,3,7,2,8,5,6,4]=>0010101=>1
[2,1,5,6,8,4,3,7]=>1000110=>5
[1,3,7,2,8,5,4,6]=>0010110=>2
[4,6,2,7,1,8,3,5]=>0101010=>4
[1,5,4,3,6,8,2,7]=>0110010=>4
[1,6,4,5,7,8,3,2]=>0100011=>3
[2,1,5,6,8,4,7,3]=>1000101=>5
[2,1,5,6,8,7,3,4]=>1000110=>5
[3,6,5,2,7,8,4,1]=>0110011=>2
[6,2,4,7,5,8,3,1]=>1001011=>4
[1,5,7,8,4,2,6,3]=>0001101=>1
[3,7,4,1,8,6,2,5]=>0110110=>3
[3,4,6,8,5,7,2,1]=>0001011=>1
[4,2,5,7,3,1,8,6]=>1001101=>4
[4,5,6,2,8,7,3,1]=>0010111=>1
[2,5,6,8,1,7,4,3]=>0001011=>1
[4,5,6,1,8,7,3,2]=>0010111=>1
[4,5,6,3,1,8,7,2]=>0011011=>1
[4,3,6,2,1,7,5,8]=>1011010=>6
[4,6,3,2,1,7,5,8]=>0111010=>3
[4,6,3,1,7,5,2,8]=>0110110=>3
[4,5,3,7,6,1,8,2]=>0101101=>2
[4,5,1,7,3,8,6,2]=>0101011=>1
[2,5,7,1,4,3,8,6]=>0010101=>1
[4,3,5,7,6,1,8,2]=>1001101=>4
[4,3,6,1,7,5,2,8]=>1010110=>5
[4,3,2,6,1,7,5,8]=>1101010=>7
[5,3,2,1,6,4,7,8]=>1110100=>7
[5,3,1,6,2,7,4,8]=>1101010=>7
[5,1,6,3,2,7,4,8]=>1011010=>6
[2,6,1,4,7,5,3,8]=>0100110=>3
[3,6,1,7,4,2,5,8]=>0101100=>3
[4,6,1,7,5,3,2,8]=>0101110=>2
[5,1,6,3,7,4,2,8]=>1010110=>5
[5,3,6,4,2,1,7,8]=>1011100=>5
[5,3,2,6,4,1,7,8]=>1101100=>7
[5,2,1,6,3,7,4,8]=>1101010=>7
[5,2,6,3,1,7,4,8]=>1011010=>6
[4,2,6,3,1,7,8,5]=>1011001=>5
[3,6,2,1,7,4,5,8]=>0110100=>4
[3,6,2,7,4,1,5,8]=>0101100=>3
[3,5,7,2,8,6,4,1]=>0010111=>1
[2,4,7,1,3,6,5,8]=>0010010=>3
[2,6,1,3,7,5,4,8]=>0100110=>3
[3,6,1,7,5,2,4,8]=>0101100=>3
[5,1,6,2,7,4,3,8]=>1010110=>5
[5,2,6,4,3,1,7,8]=>1011100=>5
[5,2,1,6,4,3,7,8]=>1101100=>7
[5,4,2,1,6,3,7,8]=>1110100=>7
[5,4,2,6,3,1,7,8]=>1101100=>7
[5,4,1,6,2,7,3,8]=>1101010=>7
[5,1,6,4,2,7,3,8]=>1011010=>6
[3,6,1,7,5,4,8,2]=>0101101=>2
[2,6,1,5,4,3,7,8]=>0101100=>3
[3,1,6,2,5,4,7,8]=>1010100=>7
[5,1,6,4,3,2,7,8]=>1011100=>5
[5,4,1,6,3,2,7,8]=>1101100=>7
[5,4,3,1,6,2,7,8]=>1110100=>7
[8,2,1,7,6,5,4,3,9]=>11011110=>6
[7,3,1,6,5,4,8,2]=>1101101=>5
[7,2,8,1,5,4,3,6]=>1010110=>5
[4,2,7,6,5,8,1,3]=>1011010=>6
[3,8,2,6,5,4,1,7]=>0101110=>2
[3,2,8,7,6,5,4,1,9]=>10111110=>4
[9,2,1,8,7,6,5,4,3,10]=>110111110=>6
[8,3,1,7,6,5,4,9,2]=>11011101=>6
[8,2,9,1,6,5,4,3,7]=>10101110=>5
[7,3,2,1,5,4,6,8]=>1110100=>7
[7,2,8,6,1,4,3,5]=>1011010=>6
[5,2,7,6,8,4,1,3]=>1010110=>5
[4,2,8,7,6,5,9,1,3]=>10111010=>6
[3,8,7,2,5,4,1,6]=>0110110=>3
[3,9,2,7,6,5,4,1,8]=>01011110=>2
[3,2,9,8,7,6,5,4,1,10]=>101111110=>4
[10,2,1,9,8,7,6,5,4,3,11]=>1101111110=>6
[9,3,1,8,7,6,5,4,10,2]=>110111101=>6
[9,2,10,1,7,6,5,4,3,8]=>101011110=>5
[8,4,1,7,6,5,9,3,2]=>11011011=>5
[8,3,2,1,6,5,4,7,9]=>11101100=>8
[8,2,9,7,1,5,4,3,6]=>10110110=>6
[7,5,1,6,8,4,3,2]=>1100111=>4
[7,4,2,1,5,6,3,8]=>1110010=>7
[7,2,8,6,5,1,3,4]=>1011100=>5
[5,3,2,6,7,4,1,8]=>1100110=>6
[5,2,8,7,6,9,4,1,3]=>10110110=>6
[4,3,7,2,5,6,1,8]=>1010010=>6
[4,3,2,7,6,5,8,1,9]=>11011010=>8
[4,2,9,8,7,6,5,10,1,3]=>101111010=>6
[3,9,8,2,6,5,4,1,7]=>01101110=>2
[3,10,2,8,7,6,5,4,1,9]=>010111110=>2
[3,2,10,9,8,7,6,5,4,1,11]=>1011111110=>4
[6,7,1,4,3,2,5,8]=>0101100=>3
[3,4,2,6,7,1,5,8]=>0100100=>5
[3,7,1,6,5,2,4,8]=>0101100=>3
[3,5,6,2,4,7,1,8]=>0010010=>3
[3,5,8,7,2,4,6,1]=>0011001=>2
[1,7,8,2,5,4,3,6]=>0010110=>2
[8,7,2,5,4,3,6,1]=>1101101=>5
[2,5,6,4,7,1,3,8]=>0010100=>3
[4,7,1,6,3,5,2,8]=>0101010=>4
[4,5,3,8,7,2,6,1]=>0101101=>2
[1,4,5,3,7,8,2,6]=>0010010=>3
[1,4,8,2,7,6,3,5]=>0010110=>2
[4,7,3,5,1,8,6,2]=>0101011=>1
[8,7,3,6,1,5,4,2]=>1101011=>5
[2,5,8,7,4,6,1,3]=>0011010=>2
[5,4,2,1,7,8,3,6]=>1110010=>7
[4,7,8,3,5,2,1,6]=>0010110=>2
[4,7,6,2,1,8,3,5]=>0111010=>3
[1,4,6,7,3,5,8,2]=>0001001=>1
[8,3,6,2,1,7,5,4]=>1011011=>3
[8,3,7,6,4,2,1,5]=>1011110=>4
[2,3,1,8,4,7,6,5]=>0101011=>1
[2,7,4,8,6,5,1,3]=>0101110=>2
[8,6,5,1,4,7,3,2]=>1110011=>5
[8,5,4,1,7,3,6,2]=>1110101=>6
[6,3,7,2,8,5,4,1]=>1010111=>3
[1,6,3,8,2,7,5,4]=>0101011=>1
[1,7,5,3,8,2,6,4]=>0110101=>3
[6,2,7,4,1,8,5,3]=>1011011=>3
[8,6,3,2,7,5,1,4]=>1110110=>7
[2,7,5,1,3,8,6,4]=>0110011=>2
[1,7,6,4,3,8,2,5]=>0111010=>3
[3,7,2,4,8,6,5,1]=>0100111=>2
[3,4,2,8,7,6,1,5]=>0101110=>2
[5,1,4,3,2,7,8,6]=>1011001=>5
[3,7,8,5,2,4,1,6]=>0011010=>2
[3,7,6,2,4,1,8,5]=>0110101=>3
[1,6,8,2,5,7,4,3]=>0010011=>1
[6,7,2,5,8,4,3,1]=>0100111=>2
[5,2,7,8,4,3,1,6]=>1001110=>4
[5,3,1,7,8,4,2,6]=>1100110=>6
[2,7,6,4,1,3,8,5]=>0111001=>3
[4,1,7,6,3,2,8,5]=>1011101=>4
[8,4,2,7,6,3,1,5]=>1101110=>6
[6,3,1,7,5,2,8,4]=>1101101=>5
[6,2,7,5,3,1,8,4]=>1011101=>4
[1,5,8,2,7,4,6,3]=>0010101=>1
[5,7,2,8,4,6,3,1]=>0101011=>1
[5,7,3,1,8,4,6,2]=>0110101=>3
[8,4,7,3,1,6,5,2]=>1011011=>3
[2,6,8,5,7,4,1,3]=>0010110=>2
[6,5,2,1,7,4,8,3]=>1110101=>6
[5,7,4,6,2,1,8,3]=>0101101=>2
[5,6,4,8,3,7,2,1]=>0101011=>1
[6,7,1,8,3,4,2,5]=>0101010=>4
[7,8,3,5,1,4,2,6]=>0101010=>4
[5,6,2,7,1,8,3,4]=>0101010=>4
[6,7,2,4,3,8,1,5]=>0101010=>4
[2,4,3,8,6,7,1,5]=>0101010=>4
[1,8,2,7,4,5,3,6]=>0101010=>4
[2,5,4,8,3,6,1,7]=>0101010=>4
[2,3,1,8,5,6,4,7]=>0101010=>4
[3,8,5,6,4,7,1,2]=>0101010=>4
[5,7,3,6,4,8,1,2]=>0101010=>4
[5,7,2,3,1,6,4,8]=>0101010=>4
[5,7,2,4,3,6,1,8]=>0101010=>4
[4,6,2,7,1,5,3,8]=>0101010=>4
[4,7,1,6,2,5,3,8]=>0101010=>4
[4,7,1,5,3,6,2,8]=>0101010=>4
[4,6,3,5,1,7,2,8]=>0101010=>4
[6,7,3,5,1,4,2,8]=>0101010=>4
[5,6,3,7,1,4,2,8]=>0101010=>4
[5,7,1,6,3,4,2,8]=>0101010=>4
[1,8,5,6,3,4,2,7]=>0101010=>4
[1,8,5,6,4,7,2,3]=>0101010=>4
[5,7,1,6,4,8,2,3]=>0101010=>4
[4,6,5,8,1,7,2,3]=>0101010=>4
[3,7,1,4,2,8,5,6]=>0101010=>4
[3,5,1,4,2,8,6,7]=>0101010=>4
[4,6,5,8,3,7,1,2]=>0101010=>4
[4,6,5,8,2,3,1,7]=>0101010=>4
[3,4,2,6,5,8,1,7]=>0101010=>4
[3,5,4,6,2,8,1,7]=>0101010=>4
[1,8,3,5,4,7,2,6]=>0101010=>4
[3,4,2,7,1,8,5,6]=>0101010=>4
[4,7,2,3,1,8,5,6]=>0101010=>4
[2,4,3,8,1,7,5,6]=>0101010=>4
[2,5,3,8,4,7,1,6]=>0101010=>4
[2,6,3,8,1,7,4,5]=>0101010=>4
[2,7,1,8,3,6,4,5]=>0101010=>4
[1,2,8,7,4,6,3,5]=>0011010=>2
[4,5,1,8,7,6,2,3]=>0101110=>2
[4,1,5,8,7,6,2,3]=>1001110=>4
[4,5,7,8,2,6,3,1]=>0001011=>1
[5,2,6,8,3,7,4,1]=>1001011=>4
[3,1,6,8,7,4,5,2]=>1001101=>4
[6,1,4,8,7,2,5,3]=>1001101=>4
[6,1,8,4,7,3,5,2]=>1010101=>4
[4,6,7,8,2,5,3,1]=>0001011=>1
[7,4,5,2,8,6,3,1]=>1010111=>3
[7,5,8,4,2,6,3,1]=>1011011=>3
[6,8,4,5,2,7,3,1]=>0101011=>1
[6,8,2,5,3,7,4,1]=>0101011=>1
[6,3,8,4,2,7,5,1]=>1011011=>3
[7,2,5,3,8,6,4,1]=>1010111=>3
[3,4,7,5,8,6,2,1]=>0010111=>1
[3,6,7,4,8,5,2,1]=>0010111=>1
[6,7,4,2,8,5,3,1]=>0110111=>1
[4,7,5,2,8,6,3,1]=>0110111=>1
[2,7,5,3,8,6,4,1]=>0110111=>1
[5,6,2,8,3,7,4,1]=>0101011=>1
[1,5,8,2,7,3,6,4]=>0010101=>1
[5,8,4,7,2,3,6,1]=>0101001=>3
[6,7,4,8,1,5,3,2]=>0101011=>1
[1,7,4,8,6,2,5,3]=>0101101=>2
[6,8,5,3,7,2,4,1]=>0110101=>3
[6,8,5,2,3,7,4,1]=>0110011=>2
[7,5,3,8,2,6,4,1]=>1101011=>5
[7,5,2,3,8,6,4,1]=>1100111=>4
[3,7,4,5,8,6,2,1]=>0100111=>2
[6,7,3,4,8,5,2,1]=>0100111=>2
[3,6,4,7,8,5,2,1]=>0100111=>2
[6,4,2,7,8,5,3,1]=>1100111=>4
[7,4,2,5,8,6,3,1]=>1100111=>4
[6,8,4,2,5,7,3,1]=>0110011=>2
[7,5,8,3,4,6,2,1]=>1010011=>5
[7,4,5,8,1,6,3,2]=>1001011=>4
[6,3,4,7,8,5,2,1]=>1000111=>4
[7,8,2,3,4,5,6,9,1]=>01000001=>5
[6,1,7,3,4,5,8,2]=>1010001=>6
[5,7,2,3,4,1,8,6]=>0100101=>2
[2,7,1,8,4,5,6,3]=>0101001=>3
[2,6,8,3,4,5,1,7]=>0010010=>3
[2,8,9,3,4,5,6,7,1]=>00100001=>3
[8,9,2,3,4,5,6,7,10,1]=>010000001=>6
[7,1,8,3,4,5,6,9,2]=>10100001=>7
[6,8,2,3,4,5,1,9,7]=>01000101=>3
[6,1,2,7,4,5,8,3]=>1001001=>5
[4,7,2,3,1,5,8,6]=>0101001=>3
[2,7,1,3,8,5,6,4]=>0100101=>2
[2,6,7,8,4,5,3,1]=>0001011=>1
[2,8,1,9,4,5,6,7,3]=>01010001=>4
[2,5,8,3,4,1,6,7]=>0010100=>3
[2,7,9,3,4,5,6,1,8]=>00100010=>4
[2,9,10,3,4,5,6,7,8,1]=>001000001=>4
[8,1,9,3,4,5,6,7,10,2]=>101000001=>8
[7,9,2,3,4,5,6,1,10,8]=>010000101=>4
[7,1,2,8,4,5,6,9,3]=>10010001=>7
[6,7,8,3,4,5,2,9,1]=>00100101=>1
[5,8,2,3,4,1,6,9,7]=>01001001=>3
[5,6,2,7,4,3,8,1]=>0101101=>2
[4,6,7,3,2,5,8,1]=>0011001=>2
[2,6,7,3,8,5,4,1]=>0010111=>1
[2,8,1,3,9,5,6,7,4]=>01001001=>3
[2,6,1,8,4,5,3,7]=>0101010=>4
[2,5,7,8,4,3,6,1]=>0001101=>1
[2,7,8,9,4,5,6,3,1]=>00010011=>1
[2,9,1,10,4,5,6,7,8,3]=>010100001=>5
[2,6,9,3,4,5,1,7,8]=>00100100=>4
[2,8,10,3,4,5,6,7,1,9]=>001000010=>4
[3,6,8,4,5,7,1,2]=>0010010=>3
[1,6,8,4,7,2,3,5]=>0010100=>3
[1,4,5,7,8,2,6,3]=>0000101=>1
[3,4,5,7,8,6,1,2]=>0000110=>2
[3,4,5,7,6,8,1,2]=>0001010=>2
[3,6,7,4,8,5,1,2]=>0010110=>2
[3,4,5,6,8,7,1,2]=>0000110=>2
[1,4,5,8,7,2,3,6]=>0001100=>3
[1,2,5,8,3,6,4,7]=>0001010=>2
[1,4,5,8,6,2,3,7]=>0001100=>3
[7,8,1,4,6,2,3,5]=>0100100=>5
[1,6,7,4,8,2,5,3]=>0010101=>1
[1,4,5,6,8,2,7,3]=>0000101=>1
[1,4,5,8,6,2,7,3]=>0001101=>1
[1,2,5,8,3,4,7,6]=>0001001=>1
[1,6,7,2,3,5,8,4]=>0010001=>2
[7,8,1,2,3,5,4,6]=>0100010=>4
[1,6,7,2,3,5,4,8]=>0010010=>3
[1,4,5,7,6,2,3,8]=>0001100=>3
[1,2,5,7,3,6,4,8]=>0001010=>2
[1,2,5,7,3,6,8,4]=>0001001=>1
[1,6,8,2,3,5,7,4]=>0010001=>2
[1,6,8,4,5,2,3,7]=>0010100=>3
[1,6,8,4,5,2,7,3]=>0010101=>1
[1,6,8,2,3,4,7,5]=>0010001=>2
[1,6,8,2,3,7,4,5]=>0010010=>3
[1,4,5,7,6,2,8,3]=>0001101=>1
[7,8,1,4,5,2,6,3]=>0100101=>2
[7,8,1,2,3,4,6,5]=>0100001=>4
[7,8,1,2,3,6,4,5]=>0100010=>4
[1,6,7,2,3,8,5,4]=>0010011=>1
[1,2,5,6,3,8,7,4]=>0001011=>1
[4,2,1,6,5,3,8,7]=>1101101=>5
[8,2,4,3,1,6,5,7]=>1011010=>6
[6,2,4,3,1,8,7,5]=>1011011=>3
[4,2,6,3,5,1,8,7]=>1010101=>4
[4,6,2,1,5,8,7,3]=>0110011=>2
[4,6,5,2,1,8,7,3]=>0111011=>2
[2,1,6,4,3,8,7,5]=>1011011=>3
[4,8,2,1,6,7,3,5]=>0110010=>4
[6,8,2,1,4,3,7,5]=>0110101=>3
[8,6,2,4,3,1,5,7]=>1101100=>7
[6,8,2,4,3,1,7,5]=>0101101=>2
[6,8,7,2,4,3,1,5]=>0110110=>3
[2,1,8,4,6,5,3,7]=>1010110=>5
[2,1,6,4,8,5,7,3]=>1010101=>4
[4,6,5,2,8,3,7,1]=>0110101=>3
[2,6,4,5,8,3,7,1]=>0100101=>2
[6,4,2,8,3,5,7,1]=>1101001=>6
[8,4,2,6,3,5,1,7]=>1101010=>7
[6,2,4,8,5,3,7,1]=>1001101=>4
[4,2,6,3,5,8,7,1]=>1010011=>5
[4,2,6,3,8,7,5,1]=>1010111=>3
[6,2,4,3,8,5,7,1]=>1010101=>4
[8,2,4,3,6,5,1,7]=>1010110=>5
[8,2,1,4,6,5,3,7]=>1100110=>6
[6,2,1,4,8,5,7,3]=>1100101=>6
[6,2,1,8,7,4,3,5]=>1101110=>6
[6,2,1,8,4,3,7,5]=>1101101=>5
[8,4,6,5,2,1,3,7]=>1011100=>5
[6,4,8,5,2,1,7,3]=>1011101=>4
[6,4,8,5,7,2,1,3]=>1010110=>5
[4,6,8,7,5,2,1,3]=>0011110=>2
[2,1,4,8,6,7,3,5]=>1001010=>5
[2,6,8,7,4,5,1,3]=>0011010=>2
[2,4,8,6,7,5,1,3]=>0010110=>2
[4,2,8,6,5,7,1,3]=>1011010=>6
[8,2,6,4,5,1,3,7]=>1010100=>7
[8,4,6,2,1,5,3,7]=>1011010=>6
[4,6,8,7,2,1,5,3]=>0011101=>1
[4,6,5,8,2,1,7,3]=>0101101=>2
[2,1,6,8,4,3,7,5]=>1001101=>4
[6,8,7,4,2,1,3,5]=>0111100=>3
[2,8,6,4,7,1,3,5]=>0110100=>4
[4,8,6,2,1,7,3,5]=>0111010=>3
[2,8,5,3,1,4,6,7]=>0111000=>4
[2,7,4,8,3,5,1,6]=>0101010=>4
[2,7,4,8,3,5,6,1]=>0101001=>3
[7,2,8,4,3,5,1,6]=>1011010=>6
[8,4,2,1,5,3,6,7]=>1110100=>7
[8,5,1,4,2,3,6,7]=>1101000=>7
[8,4,1,5,3,2,6,7]=>1101100=>7
[6,7,3,8,4,2,5,1]=>0101101=>2
[6,7,3,8,4,2,1,5]=>0101110=>2
[7,1,8,4,3,5,2,6]=>1011010=>6
[1,7,8,4,3,5,2,6]=>0011010=>2
[7,1,4,8,3,5,2,6]=>1001010=>5
[7,4,8,1,5,6,2,3]=>1010010=>6
[7,1,8,4,3,5,6,2]=>1011001=>5
[6,7,3,1,8,4,5,2]=>0110101=>3
[6,7,3,8,4,5,2,1]=>0101011=>1
[6,7,1,4,8,3,5,2]=>0100101=>2
[6,7,4,1,3,8,2,5]=>0110010=>4
[1,6,7,8,4,3,2,5]=>0001110=>2
[7,2,1,8,4,5,3,6]=>1101010=>7
[6,2,7,1,8,4,3,5]=>1010110=>5
[6,2,7,8,4,3,1,5]=>1001110=>4
[6,2,7,8,4,3,5,1]=>1001101=>4
[2,6,7,4,8,3,5,1]=>0010101=>1
[2,6,7,4,8,3,1,5]=>0010110=>2
[7,8,1,3,6,2,4,5]=>0100100=>5
[1,2,7,8,6,3,4,5]=>0001100=>3
[2,6,7,1,8,5,3,4]=>0010110=>2
[2,6,7,8,5,3,1,4]=>0001110=>2
[2,6,7,8,5,3,4,1]=>0001101=>1
[6,2,7,8,4,5,3,1]=>1001011=>4
[7,2,1,8,4,5,6,3]=>1101001=>6
[1,7,2,8,4,5,6,3]=>0101001=>3
[3,7,8,1,5,6,2,4]=>0010010=>3
[6,3,7,8,1,5,2,4]=>1001010=>5
[6,7,1,2,8,5,3,4]=>0100110=>3
[1,6,7,8,4,2,5,3]=>0001101=>1
[3,1,2,7,6,5,8,4]=>1001101=>4
[6,1,2,4,7,3,8,5]=>1000101=>5
[1,7,5,3,6,4,8,2]=>0110101=>3
[5,1,2,6,7,4,8,3]=>1000101=>5
[4,1,5,7,3,2,6,8]=>1001100=>6
[4,6,1,7,3,2,5,8]=>0101100=>3
[4,6,1,8,3,2,5,7]=>0101100=>3
[4,7,1,8,3,5,2,6]=>0101010=>4
[4,1,7,8,6,2,3,5]=>1001100=>6
[1,6,5,7,8,3,4,2]=>0100101=>2
[1,6,5,8,7,3,4,2]=>0101101=>2
[4,1,8,7,6,2,3,5]=>1011100=>5
[4,8,1,7,3,5,2,6]=>0101010=>4
[4,8,1,6,3,2,5,7]=>0101100=>3
[4,7,1,6,3,2,5,8]=>0101100=>3
[6,1,2,3,7,5,4,8]=>1000110=>5
[6,8,1,5,3,7,2,4]=>0101010=>4
[8,7,5,2,4,1,6,3]=>1110101=>6
[1,5,7,3,4,8,6,2]=>0010011=>1
[1,5,8,3,4,7,6,2]=>0010011=>1
[7,8,5,2,4,1,6,3]=>0110101=>3
[7,1,2,3,5,6,4,8]=>1000010=>6
[8,1,2,3,5,6,4,7]=>1000010=>6
[8,1,2,3,5,4,7,6]=>1000101=>5
[7,1,8,4,6,3,2,5]=>1010110=>5
[6,8,2,4,3,1,5,7]=>0101100=>3
[6,7,2,4,3,1,5,8]=>0101100=>3
[3,8,1,2,4,5,7,6]=>0100001=>4
[3,7,1,8,6,4,2,5]=>0101110=>2
[1,6,4,3,7,5,8,2]=>0110101=>3
[3,1,2,6,7,5,8,4]=>1000101=>5
[3,8,1,7,6,4,2,5]=>0101110=>2
[7,6,2,4,3,1,5,8]=>1101100=>7
[8,7,2,4,3,5,1,6]=>1101010=>7
[8,1,7,4,6,3,2,5]=>1010110=>5
[8,1,7,6,5,3,2,4]=>1011110=>4
[1,5,7,3,4,6,8,2]=>0010001=>2
[8,7,2,5,3,6,1,4]=>1101010=>7
[7,1,2,3,5,4,8,6]=>1000101=>5
[6,1,2,3,5,8,4,7]=>1000010=>6
[6,1,2,3,5,7,4,8]=>1000010=>6
[5,1,2,3,7,6,4,8]=>1000110=>5
[5,1,2,3,8,6,4,7]=>1000110=>5
[1,5,6,3,4,7,8,2]=>0010001=>2
[8,6,5,2,4,7,1,3]=>1110010=>7
[7,6,2,5,3,1,8,4]=>1101101=>5
[7,4,5,2,3,8,6,1]=>1010011=>5
[8,2,3,7,4,5,1,6]=>1001010=>5
[8,4,7,3,2,5,1,6]=>1011010=>6
[5,4,6,3,1,2,8,7]=>1011001=>5
[4,6,2,3,1,5,8,7]=>0101001=>3
[7,2,3,4,5,8,6,1]=>1000011=>5
[8,2,3,4,5,7,1,6]=>1000010=>6
[7,3,4,6,8,5,1,2]=>1000110=>5
[4,7,3,2,8,6,1,5]=>0110110=>3
[3,7,4,5,1,8,6,2]=>0101011=>1
[3,8,2,6,7,4,5,1]=>0100101=>2
[4,8,1,5,6,7,3,2]=>0100011=>3
[5,8,2,4,6,7,1,3]=>0100010=>4
[6,8,1,3,4,2,7,5]=>0100101=>2
[5,8,2,4,3,1,7,6]=>0101101=>2
[2,1,7,6,8,5,3,4]=>1010110=>5
[3,7,6,1,8,5,2,4]=>0110110=>3
[4,7,2,3,8,5,1,6]=>0100110=>3
[7,1,3,6,4,8,5,2]=>1001011=>4
[7,6,1,4,8,5,2,3]=>1100110=>6
[6,2,3,7,8,5,4,1]=>1000111=>4
[6,2,3,8,4,5,1,7]=>1001010=>5
[7,2,3,6,8,4,1,5]=>1000110=>5
[8,2,3,5,7,1,4,6]=>1000100=>6
[6,4,8,3,5,1,7,2]=>1010101=>4
[5,4,8,3,6,7,1,2]=>1010010=>6
[3,5,1,8,4,6,7,2]=>0101001=>3
[3,6,1,8,4,5,2,7]=>0101010=>4
[4,6,8,3,5,2,7,1]=>0010101=>1
[5,7,8,3,2,4,1,6]=>0011010=>2
[4,8,2,3,5,6,1,7]=>0100010=>4
[6,8,2,3,1,4,5,7]=>0101000=>5
[5,2,7,4,8,3,1,6]=>1010110=>5
[3,7,8,2,1,4,6,5]=>0011001=>2
[3,7,5,2,8,4,1,6]=>0110110=>3
[6,3,2,4,1,8,7,5]=>1101011=>5
[7,2,3,4,8,5,1,6]=>1000110=>5
[5,7,3,1,4,2,6,8]=>0110100=>4
[3,7,4,1,8,2,5,6]=>0110100=>4
[6,3,7,4,8,1,2,5]=>1010100=>7
[8,3,7,4,2,6,1,5]=>1011010=>6
[3,7,4,1,5,6,2,8]=>0110010=>4
[1,8,3,2,4,5,7,6]=>0110001=>4
[8,4,1,6,3,7,5,2]=>1101011=>5
[8,7,4,2,1,6,3,5]=>1111010=>7
[8,3,5,2,7,4,1,6]=>1010110=>5
[1,5,3,8,7,6,4,2]=>0101111=>1
[7,2,4,8,1,3,6,5]=>1001001=>5
[1,2,8,7,5,6,3,4]=>0011010=>2
[3,1,8,6,7,5,2,4]=>1010110=>5
[1,4,8,6,5,7,2,3]=>0011010=>2
[1,6,5,4,8,2,3,7]=>0110100=>4
[5,1,6,8,3,4,2,7]=>1001010=>5
[6,2,5,1,7,4,3,8]=>1010110=>5
[5,2,1,8,7,4,3,6]=>1101110=>6
[5,2,6,3,8,1,4,7]=>1010100=>7
[5,2,8,3,4,6,1,7]=>1010010=>6
[6,2,8,4,3,1,7,5]=>1011101=>4
[7,2,8,1,3,6,5,4]=>1010011=>5
[7,3,8,1,4,6,2,5]=>1010010=>6
[1,7,8,5,4,6,3,2]=>0011011=>1
[1,5,8,4,6,3,7,2]=>0010101=>1
[5,3,8,4,1,2,7,6]=>1011001=>5
[5,8,4,3,6,2,1,7]=>0110110=>3
[1,8,3,6,5,2,7,4]=>0101101=>2
[1,8,2,4,7,6,5,3]=>0100111=>2
[3,8,1,4,6,7,5,2]=>0100011=>3
[3,8,2,5,1,7,6,4]=>0101011=>1
[4,3,8,2,5,1,6,7]=>1010100=>7
[8,2,4,3,5,1,7,6]=>1010101=>4
[8,2,1,4,6,5,7,3]=>1100101=>6
[8,1,3,4,5,7,6,2]=>1000011=>5
[6,1,5,2,4,7,8,3]=>1010001=>6
[4,1,8,5,2,7,6,3]=>1011011=>3
[4,8,5,1,3,6,2,7]=>0110010=>4
[3,6,1,5,7,2,8,4]=>0100101=>2
[6,3,1,2,8,5,7,4]=>1100101=>6
[4,1,8,2,3,7,5,6]=>1010010=>6
[5,3,8,7,2,1,4,6]=>1011100=>5
[6,7,3,5,1,4,8,2]=>0101001=>3
[6,4,7,5,8,2,3,1]=>1010101=>4
[5,7,8,4,2,6,3,1]=>0011011=>1
[5,7,4,1,6,8,3,2]=>0110011=>2
[5,8,4,6,1,7,3,2]=>0101011=>1
[5,6,1,4,7,8,3,2]=>0100011=>3
[5,6,3,7,4,8,2,1]=>0101011=>1
[5,3,6,7,4,8,2,1]=>1001011=>4
[5,3,2,8,6,7,4,1]=>1101011=>5
[5,4,8,2,6,7,3,1]=>1010011=>5
[5,4,8,6,2,7,3,1]=>1011011=>3
[7,4,8,5,6,2,1,3]=>1010110=>5
[5,6,3,8,4,7,2,1]=>0101011=>1
[5,6,3,8,2,7,4,1]=>0101011=>1
[4,3,7,2,8,6,5,1]=>1010111=>3
[6,7,3,8,5,2,4,1]=>0101101=>2
[6,2,7,5,1,4,8,3]=>1011001=>5
[3,5,7,8,4,6,2,1]=>0001011=>1
[5,3,7,8,4,6,2,1]=>1001011=>4
[5,7,8,2,4,6,3,1]=>0010011=>1
[2,5,8,4,3,7,6,1]=>0011011=>1
[3,7,4,8,6,2,1,5]=>0101110=>2
[3,6,4,8,7,2,5,1]=>0101101=>2
[3,5,4,8,2,7,6,1]=>0101011=>1
[4,5,7,3,8,6,2,1]=>0010111=>1
[3,5,6,8,4,7,2,1]=>0001011=>1
[6,3,1,8,7,5,4,2]=>1101111=>3
[5,4,8,1,7,6,3,2]=>1010111=>3
[5,8,4,1,7,6,3,2]=>0110111=>1
[7,5,4,1,8,6,3,2]=>1110111=>4
[8,5,4,1,7,6,3,2]=>1110111=>4
[1,8,2,5,6,3,4,7]=>0100100=>5
[7,2,8,4,5,1,3,6]=>1010100=>7
[1,3,7,5,6,2,4,8]=>0010100=>3
[1,6,7,4,3,5,2,8]=>0011010=>2
[1,8,5,2,3,7,4,6]=>0110010=>4
[1,8,2,5,3,6,7,4]=>0101001=>3
[2,6,8,4,3,5,7,1]=>0011001=>2
[7,5,8,3,2,1,6,4]=>1011101=>4
[7,2,8,4,1,5,6,3]=>1011001=>5
[7,5,8,1,2,6,3,4]=>1010010=>6
[1,6,7,4,3,2,8,5]=>0011101=>1
[1,5,2,6,4,7,8,3]=>0101001=>3
[1,5,4,6,2,3,7,8]=>0101000=>5
[6,2,5,7,1,4,8,3]=>1001001=>5
[6,5,4,3,8,1,7,2]=>1110101=>6
[7,3,6,8,5,2,4,1]=>1001101=>4
[2,7,8,3,6,5,1,4]=>0010110=>2
[2,7,8,5,4,6,3,1]=>0011011=>1
[2,6,5,8,3,4,1,7]=>0101010=>4
[2,6,5,7,3,4,1,8]=>0101010=>4
[6,2,5,7,4,1,3,8]=>1001100=>6
[6,2,5,8,4,1,3,7]=>1001100=>6
[2,7,8,4,6,1,3,5]=>0010100=>3
[6,1,2,8,3,7,4,5]=>1001010=>5
[6,1,2,8,5,4,7,3]=>1001101=>4
[6,2,5,7,8,1,3,4]=>1000100=>6
[1,5,4,2,6,7,3,8]=>0110010=>4
[2,6,5,7,3,8,1,4]=>0101010=>4
[1,6,2,7,5,8,4,3]=>0101011=>1
[1,3,2,7,8,5,6,4]=>0100101=>2
[1,6,2,4,8,7,3,5]=>0100110=>3
[6,5,2,1,8,7,3,4]=>1110110=>7
[2,6,5,3,7,8,4,1]=>0110011=>2
[6,2,5,3,8,4,7,1]=>1010101=>4
[6,5,2,3,8,7,1,4]=>1100110=>6
[5,4,1,2,3,8,6,7]=>1100010=>7
[5,1,4,2,3,7,8,6]=>1010001=>6
[1,5,4,2,6,3,8,7]=>0110101=>3
[5,1,6,3,8,2,7,4]=>1010101=>4
[9,8,7,6,5,4,3,1,2,10]=>111111100=>9
[8,7,6,5,4,2,1,3,9]=>11111100=>8
[1,9,8,7,6,5,3,2,4]=>01111110=>2
[1,8,7,6,2,5,4,3]=>0111011=>2
[1,9,8,7,6,5,2,4,3]=>01111101=>2
[1,10,9,8,7,6,5,4,2,3]=>011111110=>2
[2,1,9,8,7,6,5,4,3]=>10111111=>2
[1,2,9,8,7,6,5,4,3]=>00111111=>1
[3,2,1,9,8,7,6,5,4]=>11011111=>3
[1,3,2,9,8,7,6,5,4]=>01011111=>1
[1,2,3,9,8,7,6,5,4]=>00011111=>1
[4,3,2,1,9,8,7,6,5]=>11101111=>4
[1,4,3,2,9,8,7,6,5]=>01101111=>1
[2,1,4,3,9,8,7,6,5]=>10101111=>3
[1,2,4,3,9,8,7,6,5]=>00101111=>1
[1,2,3,4,9,8,7,6,5]=>00001111=>1
[1,5,4,3,2,9,8,7,6]=>01110111=>2
[2,1,5,4,3,9,8,7,6]=>10110111=>3
[1,2,5,4,3,9,8,7,6]=>00110111=>1
[1,3,2,5,4,9,8,7,6]=>01010111=>1
[1,2,3,5,4,9,8,7,6]=>00010111=>1
[1,2,3,4,5,9,8,7,6]=>00000111=>1
[1,3,2,6,5,4,9,8,7]=>01011011=>1
[1,2,3,6,5,4,9,8,7]=>00011011=>1
[2,1,4,3,6,5,9,8,7]=>10101011=>4
[1,2,4,3,6,5,9,8,7]=>00101011=>1
[1,2,3,4,6,5,9,8,7]=>00001011=>1
[1,2,3,5,4,7,6,9,8]=>00010101=>1
[1,2,3,4,5,7,6,9,8]=>00000101=>1
[1,2,10,9,8,7,6,5,4,3]=>001111111=>1
[3,2,1,10,9,8,7,6,5,4]=>110111111=>3
[1,3,2,10,9,8,7,6,5,4]=>010111111=>1
[1,2,3,10,9,8,7,6,5,4]=>000111111=>1
[1,4,3,2,10,9,8,7,6,5]=>011011111=>1
[1,2,4,3,10,9,8,7,6,5]=>001011111=>1
[1,2,3,4,10,9,8,7,6,5]=>000011111=>1
[1,5,4,3,2,10,9,8,7,6]=>011101111=>1
[2,1,5,4,3,10,9,8,7,6]=>101101111=>3
[1,2,5,4,3,10,9,8,7,6]=>001101111=>1
[1,3,2,5,4,10,9,8,7,6]=>010101111=>1
[1,2,3,5,4,10,9,8,7,6]=>000101111=>1
[1,2,6,5,4,3,10,9,8,7]=>001110111=>1
[3,2,1,6,5,4,10,9,8,7]=>110110111=>5
[1,3,2,6,5,4,10,9,8,7]=>010110111=>1
[1,2,3,6,5,4,10,9,8,7]=>000110111=>1
[1,2,4,3,6,5,10,9,8,7]=>001010111=>1
[1,2,3,4,6,5,10,9,8,7]=>000010111=>1
[1,2,3,4,5,6,10,9,8,7]=>000000111=>1
[1,4,3,2,7,6,5,10,9,8]=>011011011=>3
[2,1,4,3,7,6,5,10,9,8]=>101011011=>4
[1,2,4,3,7,6,5,10,9,8]=>001011011=>1
[1,2,3,4,7,6,5,10,9,8]=>000011011=>1
[1,3,2,5,4,7,6,10,9,8]=>010101011=>1
[1,2,3,5,4,7,6,10,9,8]=>000101011=>1
[1,2,3,4,5,7,6,10,9,8]=>000001011=>1
[1,2,3,4,5,6,7,10,9,8]=>000000011=>1
[1,2,4,3,6,5,8,7,10,9]=>001010101=>1
[1,2,3,4,6,5,8,7,10,9]=>000010101=>1
[1,2,3,4,5,6,8,7,10,9]=>000000101=>1
[5,2,7,4,1,6,3,8]=>1011010=>6
[4,7,3,1,5,6,2,8]=>0110010=>4
[5,8,3,4,1,6,7,2]=>0101001=>3
[1,7,8,4,5,6,2,3]=>0010010=>3
[1,5,8,4,2,6,7,3]=>0011001=>2
[1,6,3,8,5,2,7,4]=>0101101=>2
[6,2,3,7,5,1,4,8]=>1001100=>6
[1,7,3,4,8,6,2,5]=>0100110=>3
[8,7,3,2,1,6,5,4]=>1111011=>5
[8,7,6,3,1,5,2,4]=>1111010=>7
[8,5,1,7,2,3,4,6]=>1101000=>7
[9,8,7,6,5,2,1,4,3]=>11111101=>7
[9,8,7,3,2,1,6,5,4]=>11111011=>6
[9,8,7,6,3,1,5,2,4]=>11111010=>8
[9,4,3,2,1,8,7,6,5]=>11110111=>5
[9,8,4,3,1,7,6,2,5]=>11110110=>8
[9,8,7,2,1,4,3,6,5]=>11110101=>7
[9,8,7,4,1,6,2,3,5]=>11110100=>8
[5,4,3,1,9,8,7,2,6]=>11101110=>8
[9,5,2,1,8,4,3,7,6]=>11101101=>7
[9,8,3,1,5,2,7,4,6]=>11101010=>8
[6,3,1,9,5,2,8,4,7]=>11011010=>8
[6,5,1,9,8,2,3,4,7]=>11011000=>8
[9,2,1,4,3,6,5,8,7]=>11010101=>7
[9,6,1,8,2,3,4,5,7]=>11010000=>8
[5,1,7,2,9,3,4,6,8]=>10101000=>8
[7,1,9,2,3,4,5,6,8]=>10100000=>8
[10,9,8,7,6,5,2,1,4,3]=>111111101=>8
[10,9,8,7,3,2,1,6,5,4]=>111111011=>7
[10,9,8,7,6,3,1,5,2,4]=>111111010=>9
[10,9,4,3,2,1,8,7,6,5]=>111110111=>6
[10,9,8,4,3,1,7,6,2,5]=>111110110=>9
[10,9,8,7,2,1,4,3,6,5]=>111110101=>8
[10,9,8,7,4,1,6,2,3,5]=>111110100=>9
[10,5,4,3,1,9,8,7,2,6]=>111101110=>9
[10,9,5,2,1,8,4,3,7,6]=>111101101=>8
[10,9,5,4,1,8,7,2,3,6]=>111101100=>9
[10,9,8,3,1,5,2,7,4,6]=>111101010=>9
[6,5,2,1,10,9,4,3,8,7]=>111011101=>7
[6,5,4,1,10,9,8,2,3,7]=>111011100=>9
[10,3,2,1,6,5,4,9,8,7]=>111011011=>7
[10,6,5,1,9,8,2,3,4,7]=>111011000=>9
[10,9,2,1,4,3,6,5,8,7]=>111010101=>8
[10,9,6,1,8,2,3,4,5,7]=>111010000=>9
[4,3,1,7,6,2,10,9,5,8]=>110110110=>9
[7,2,1,10,4,3,6,5,9,8]=>110110101=>8
[7,4,1,10,6,2,9,3,5,8]=>110110100=>9
[7,6,1,10,9,2,3,4,5,8]=>110110000=>9
[10,5,1,7,2,9,3,4,6,8]=>110101000=>9
[10,7,1,9,2,3,4,5,6,8]=>110100000=>9
[4,1,6,2,8,3,10,5,7,9]=>101010100=>9
[6,1,8,2,10,3,4,5,7,9]=>101010000=>9
[8,1,10,2,3,4,5,6,7,9]=>101000000=>9
[2,4,8,5,3,7,1,6]=>0011010=>2
[2,4,1,8,5,3,7,6]=>0101101=>2
[2,4,8,6,3,1,7,5]=>0011101=>1
[3,4,6,8,2,1,7,5]=>0001101=>1
[3,4,1,5,8,2,7,6]=>0100101=>2
[8,1,4,5,3,2,7,6]=>1001101=>4
[3,4,1,5,2,8,7,6]=>0101011=>1
[3,4,6,2,1,8,7,5]=>0011011=>1
[3,5,6,2,1,7,8,4]=>0011001=>2
[3,4,6,2,7,8,1,5]=>0010010=>3
[8,1,4,6,3,7,2,5]=>1001010=>5
[8,1,4,6,3,7,5,2]=>1001011=>4
[3,5,6,2,1,7,4,8]=>0011010=>2
[8,1,5,6,7,3,4,2]=>1000101=>5
[8,1,5,6,7,3,2,4]=>1000110=>5
[3,4,1,6,8,7,2,5]=>0100110=>3
[3,5,6,1,8,7,2,4]=>0010110=>2
[2,1,3,8,6,7,4,5]=>1001010=>5
[8,1,3,2,6,7,5,4]=>1010011=>5
[2,3,8,6,7,1,5,4]=>0010101=>1
[2,4,1,8,6,7,5,3]=>0101011=>1
[2,5,8,6,1,7,4,3]=>0011011=>1
[3,5,6,1,8,7,4,2]=>0010111=>1
[3,4,1,6,8,7,5,2]=>0100111=>2
[3,4,6,8,7,1,5,2]=>0001101=>1
[8,1,4,6,2,7,5,3]=>1001011=>4
[3,5,1,6,7,8,4,2]=>0100011=>3
[4,5,6,1,7,8,3,2]=>0010011=>1
[4,5,6,1,7,3,8,2]=>0010101=>1
[3,5,1,6,7,4,8,2]=>0100101=>2
[8,1,5,6,7,4,2,3]=>1000110=>5
[8,1,5,6,7,4,3,2]=>1000111=>4
[3,5,1,6,7,4,2,8]=>0100110=>3
[4,5,6,1,7,3,2,8]=>0010110=>2
[6,5,8,7,4,3,1,2]=>1011110=>4
[6,4,2,7,8,5,1,3]=>1100110=>6
[6,1,4,8,7,5,2,3]=>1001110=>4
[1,6,4,8,7,5,2,3]=>0101110=>2
[1,8,6,2,4,7,3,5]=>0110010=>4
[8,1,6,2,4,7,3,5]=>1010010=>6
[7,6,2,1,4,8,3,5]=>1110010=>7
[6,4,1,7,8,5,2,3]=>1100110=>6
[7,6,1,2,4,8,3,5]=>1100010=>7
[7,6,1,3,4,8,2,5]=>1100010=>7
[8,1,6,3,4,7,2,5]=>1010010=>6
[1,8,6,3,4,7,2,5]=>0110010=>4
[1,7,2,5,4,8,3,6]=>0101010=>4
[7,1,2,5,4,8,3,6]=>1001010=>5
[2,7,1,5,4,8,3,6]=>0101010=>4
[2,8,6,3,4,7,1,5]=>0110010=>4
[2,8,6,1,4,7,3,5]=>0110010=>4
[7,2,1,5,4,8,3,6]=>1101010=>7
[1,2,7,5,4,8,3,6]=>0011010=>2
[3,2,7,5,4,8,1,6]=>1011010=>6
[2,5,8,4,7,3,1,6]=>0010110=>2
[2,3,7,5,4,8,1,6]=>0011010=>2
[6,8,3,2,4,7,1,5]=>0110010=>4
[3,7,2,5,4,8,1,6]=>0101010=>4
[3,1,7,5,4,8,2,6]=>1011010=>6
[1,3,7,5,4,8,2,6]=>0011010=>2
[1,5,8,4,7,3,2,6]=>0010110=>2
[5,1,8,4,7,3,2,6]=>1010110=>5
[5,8,2,4,7,3,1,6]=>0100110=>3
[6,8,4,3,7,5,1,2]=>0110110=>3
[8,7,5,6,2,1,4,3]=>1101101=>5
[8,5,2,4,7,3,1,6]=>1100110=>6
[8,1,5,4,7,3,2,6]=>1010110=>5
[1,8,5,4,7,3,2,6]=>0110110=>3
[1,7,3,5,4,8,2,6]=>0101010=>4
[8,6,3,1,4,7,2,5]=>1110010=>7
[8,6,4,2,7,5,1,3]=>1110110=>7
[8,6,4,1,7,2,5,3]=>1110101=>6
[5,3,7,4,6,8,2,1]=>1010011=>5
[4,1,3,2,7,8,5,6]=>1010010=>6
[1,4,3,2,7,8,5,6]=>0110010=>4
[2,4,3,1,7,8,5,6]=>0110010=>4
[2,7,3,5,4,8,1,6]=>0101010=>4
[2,8,5,4,7,3,1,6]=>0110110=>3
[5,7,3,4,6,8,2,1]=>0100011=>3
[8,2,5,4,7,3,1,6]=>1010110=>5
[7,2,3,5,4,8,1,6]=>1001010=>5
[3,2,1,4,7,8,5,6]=>1100010=>7
[8,1,7,6,4,3,5,2]=>1011101=>4
[8,6,4,5,2,7,1,3]=>1101010=>7
[7,1,8,6,4,3,5,2]=>1011101=>4
[7,4,2,5,1,6,3,8]=>1101010=>7
[7,3,6,5,2,1,4,8]=>1011100=>5
[8,3,6,5,2,1,7,4]=>1011101=>4
[7,3,6,5,2,1,8,4]=>1011101=>4
[7,5,8,6,4,2,1,3]=>1011110=>4
[5,4,2,8,1,3,7,6]=>1101001=>6
[5,8,2,6,4,1,3,7]=>0101100=>3
[6,4,2,5,1,8,3,7]=>1101010=>7
[6,3,5,2,1,4,7,8]=>1011000=>6
[2,5,8,6,3,1,4,7]=>0011100=>3
[2,3,5,8,1,4,7,6]=>0001001=>1
[2,3,6,8,1,5,7,4]=>0001001=>1
[6,3,8,5,2,7,1,4]=>1011010=>6
[6,3,7,5,2,1,4,8]=>1011100=>5
[2,5,7,6,3,1,4,8]=>0011100=>3
[2,8,7,6,3,1,5,4]=>0111101=>2
[2,5,8,7,6,3,1,4]=>0011110=>2
[2,4,8,1,6,5,7,3]=>0010101=>1
[2,8,7,3,6,1,4,5]=>0110100=>4
[7,3,5,2,1,4,6,8]=>1011000=>6
[8,4,2,5,1,3,7,6]=>1101001=>6
[2,3,6,8,1,4,7,5]=>0001001=>1
[2,7,8,6,3,1,4,5]=>0011100=>3
[7,3,8,5,2,1,4,6]=>1011100=>5
[2,3,6,1,8,4,7,5]=>0010101=>1
[2,8,6,3,1,4,5,7]=>0111000=>4
[8,3,5,2,1,4,6,7]=>1011000=>6
[2,4,8,1,3,7,5,6]=>0010010=>3
[2,5,8,1,7,3,6,4]=>0010101=>1
[3,8,6,1,4,7,5,2]=>0110011=>2
[2,7,1,5,8,3,4,6]=>0100100=>5
[3,7,5,8,1,2,6,4]=>0101001=>3
[7,3,6,1,2,8,4,5]=>1010010=>6
[7,4,8,1,6,5,2,3]=>1010110=>5
[7,4,5,8,6,1,2,3]=>1001100=>6
[6,8,4,5,1,7,2,3]=>0101010=>4
[5,1,8,7,6,2,3,4]=>1011100=>5
[8,5,1,6,2,7,3,4]=>1101010=>7
[4,6,1,8,7,5,2,3]=>0101110=>2
[4,5,1,8,7,2,3,6]=>0101100=>3
[3,4,8,7,1,2,5,6]=>0011000=>4
[6,4,8,7,1,2,5,3]=>1011001=>5
[6,5,1,2,7,3,8,4]=>1100101=>6
[6,5,1,8,2,7,3,4]=>1101010=>7
[6,5,1,7,2,8,3,4]=>1101010=>7
[6,5,1,7,2,3,8,4]=>1101001=>6
[5,6,8,7,4,1,2,3]=>0011100=>3
[6,8,5,7,4,1,2,3]=>0101100=>3
[7,3,8,1,5,2,4,6]=>1010100=>7
[4,1,7,5,3,6,2,8]=>1011010=>6
[1,8,4,2,3,6,7,5]=>0110001=>4
[2,5,8,3,4,6,7,1]=>0010001=>2
[4,1,7,2,3,6,8,5]=>1010001=>6
[4,6,2,1,5,7,8,3]=>0110001=>4
[4,5,2,3,1,7,8,6]=>0101001=>3
[3,2,6,7,4,1,8,5]=>1001101=>4
[5,6,2,7,1,4,8,3]=>0101001=>3
[6,2,3,8,1,7,4,5]=>1001010=>5
[2,6,8,3,4,7,1,5]=>0010010=>3
[4,6,2,7,5,1,3,8]=>0101100=>3
[2,6,3,1,8,4,5,7]=>0110100=>4
[2,4,3,7,8,1,5,6]=>0100100=>5
[5,3,2,7,4,8,1,6]=>1101010=>7
[5,1,2,7,6,8,4,3]=>1001011=>4
[2,6,3,1,8,7,4,5]=>0110110=>3
[3,5,6,4,7,8,1,2]=>0010010=>3
[5,3,6,4,2,8,7,1]=>1011011=>3
[5,4,2,3,7,8,6,1]=>1100011=>5
[4,1,8,2,5,7,3,6]=>1010010=>6
[3,1,8,4,7,2,5,6]=>1010100=>7
[6,2,3,8,4,1,7,5]=>1001101=>4
[2,6,4,1,5,3,8,7]=>0110101=>3
[3,2,7,6,4,1,8,5]=>1011101=>4
[2,5,4,1,7,6,8,3]=>0110101=>3
[6,2,1,4,7,8,3,5]=>1100010=>7
[2,6,5,1,7,8,3,4]=>0110010=>4
[4,7,5,2,1,6,3,8]=>0111010=>3
[4,2,3,7,8,1,6,5]=>1000101=>5
[5,8,3,1,7,2,4,6]=>0110100=>4
[6,8,3,1,5,2,4,7]=>0110100=>4
[4,2,7,1,6,3,5,8]=>1010100=>7
[5,1,7,4,2,6,3,8]=>1011010=>6
[5,8,2,1,4,7,3,6]=>0110010=>4
[6,8,3,2,5,1,7,4]=>0110101=>3
[6,8,4,3,1,5,7,2]=>0111001=>3
[6,8,4,2,1,5,7,3]=>0111001=>3
[6,8,3,2,1,4,5,7]=>0111000=>4
[5,1,7,3,2,4,6,8]=>1011000=>6
[5,2,1,8,3,6,7,4]=>1101001=>6
[4,3,8,1,6,2,7,5]=>1010101=>4
[4,2,1,6,5,8,3,7]=>1101010=>7
[4,2,1,8,5,7,3,6]=>1101010=>7
[6,3,2,1,7,4,5,8]=>1110100=>7
[6,4,2,1,7,5,3,8]=>1110110=>7
[7,5,2,1,8,6,3,4]=>1110110=>7
[5,3,2,7,6,1,4,8]=>1101100=>7
[5,3,2,8,6,1,4,7]=>1101100=>7
[6,3,2,8,7,1,4,5]=>1101100=>7
[4,2,8,1,7,3,5,6]=>1010100=>7
[4,3,8,7,2,1,5,6]=>1011100=>5
[2,1,5,8,4,7,3,6]=>1001010=>5
[4,3,2,5,8,1,6,7]=>1100100=>7
[4,3,2,5,7,1,6,8]=>1100100=>7
[4,3,1,6,2,7,5,8]=>1101010=>7
[5,4,1,7,2,8,6,3]=>1101011=>5
[6,5,3,1,7,8,4,2]=>1110011=>5
[6,4,2,1,7,8,5,3]=>1110011=>5
[3,2,1,4,8,7,5,6]=>1100110=>6
[3,2,1,4,6,8,5,7]=>1100010=>7
[5,3,2,1,6,7,8,4]=>1110001=>6
[8,6,1,4,5,7,2,3]=>1100010=>7
[3,8,6,4,5,7,1,2]=>0110010=>4
[5,2,8,3,7,4,6,1]=>1010101=>4
[6,2,8,5,4,7,3,1]=>1011011=>3
[1,8,6,3,7,4,2,5]=>0110110=>3
[1,8,6,5,7,2,3,4]=>0110100=>4
[5,2,8,4,3,6,7,1]=>1011001=>5
[5,4,2,7,3,6,1,8]=>1101010=>7
[5,4,2,8,3,6,1,7]=>1101010=>7
[6,5,3,8,4,7,2,1]=>1101011=>5
[5,2,8,4,3,7,1,6]=>1011010=>6
[6,2,8,3,7,4,1,5]=>1010110=>5
[5,4,2,7,3,1,8,6]=>1101101=>5
[6,4,3,7,1,2,8,5]=>1101001=>6
[6,4,3,8,1,2,7,5]=>1101001=>6
[7,6,3,8,4,2,1,5]=>1101110=>6
[7,2,8,5,1,6,3,4]=>1011010=>6
[7,2,8,4,3,1,5,6]=>1011100=>5
[7,5,3,8,4,2,6,1]=>1101101=>5
[6,4,2,7,3,1,5,8]=>1101100=>7
[7,6,4,8,2,3,5,1]=>1101001=>6
[7,6,8,1,2,5,3,4]=>1010010=>6
[5,3,1,7,8,4,6,2]=>1100101=>6
[5,3,2,7,8,4,6,1]=>1100101=>6
[5,4,1,6,3,8,7,2]=>1101011=>5
[6,5,1,7,8,2,3,4]=>1100100=>7
[6,3,1,7,8,4,2,5]=>1100110=>6
[5,4,1,7,3,8,2,6]=>1101010=>7
[6,3,2,7,8,4,1,5]=>1100110=>6
[6,1,5,4,3,2,8,7]=>1011101=>4
[8,7,6,1,3,5,2,4]=>1110010=>7
[8,1,6,5,7,3,4,2]=>1010101=>4
[8,4,1,5,7,6,2,3]=>1100110=>6
[7,8,6,2,5,3,1,4]=>0110110=>3
[6,1,3,5,2,8,4,7]=>1001010=>5
[8,1,3,7,4,2,5,6]=>1001100=>6
[4,3,8,7,5,2,1,6]=>1011110=>4
[6,7,1,8,5,3,4,2]=>0101101=>2
[2,7,6,4,8,3,5,1]=>0110101=>3
[6,5,2,7,1,4,8,3]=>1101001=>6
[7,4,6,1,3,2,8,5]=>1010101=>4
[7,5,2,1,3,8,4,6]=>1110010=>7
[8,4,7,6,3,1,5,2]=>1011101=>4
[7,4,1,5,6,3,8,2]=>1100101=>6
[3,4,7,5,6,1,8,2]=>0010101=>1
[2,4,7,5,6,3,8,1]=>0010101=>1
[5,4,1,7,6,2,8,3]=>1101101=>5
[3,5,6,7,1,4,8,2]=>0001001=>1
[2,7,6,1,3,4,8,5]=>0110001=>4
[5,7,2,1,6,3,8,4]=>0110101=>3
[4,7,2,5,6,3,8,1]=>0100101=>2
[8,6,2,5,7,1,4,3]=>1100101=>6
[2,7,4,5,3,8,1,6]=>0101010=>4
[6,8,7,1,3,2,5,4]=>0110101=>3
[2,8,6,5,7,1,4,3]=>0110101=>3
[5,8,4,3,2,6,7,1]=>0111001=>3
[1,8,5,6,2,4,7,3]=>0101001=>3
[8,1,5,6,2,4,7,3]=>1001001=>5
[6,4,8,1,3,2,7,5]=>1010101=>4
[1,4,5,2,8,6,7,3]=>0010101=>1
[2,3,1,7,8,6,4,5]=>0100110=>3
[3,5,7,6,2,8,1,4]=>0011010=>2
[4,5,6,1,2,8,7,3]=>0010011=>1
[5,4,1,2,8,6,7,3]=>1100101=>6
[8,4,5,2,1,6,7,3]=>1011001=>5
[3,1,2,6,8,4,7,5]=>1000101=>5
[5,1,3,2,7,8,4,6]=>1010010=>6
[1,5,4,2,7,8,3,6]=>0110010=>4
[4,6,7,8,3,1,5,2]=>0001101=>1
[7,6,2,8,4,3,1,5]=>1101110=>6
[5,2,8,6,3,4,7,1]=>1011001=>5
[5,6,8,4,3,2,7,1]=>0011101=>1
[5,3,8,1,7,2,4,6]=>1010100=>7
[3,6,7,8,4,2,1,5]=>0001110=>2
[6,5,1,8,4,3,7,2]=>1101101=>5
[6,3,8,4,2,1,7,5]=>1011101=>4
[2,5,8,3,1,6,7,4]=>0011001=>2
[3,5,8,1,2,6,7,4]=>0010001=>2
[3,2,8,1,5,6,7,4]=>1010001=>6
[1,5,8,3,2,6,7,4]=>0011001=>2
[1,3,8,6,2,4,7,5]=>0011001=>2
[3,2,7,8,4,6,1,5]=>1001010=>5
[5,1,8,3,4,6,7,2]=>1010001=>6
[4,8,7,2,1,6,3,5]=>0111010=>3
[2,8,1,6,3,4,7,5]=>0101001=>3
[8,3,4,2,1,6,5,7]=>1011010=>6
[6,4,7,2,5,8,1,3]=>1010010=>6
[8,4,5,2,6,3,1,7]=>1010110=>5
[2,4,5,8,3,6,1,7]=>0001010=>2
[3,5,8,1,2,6,4,7]=>0010010=>3
[8,6,1,3,5,2,4,7]=>1100100=>7
[8,5,1,2,6,4,3,7]=>1100110=>6
[5,8,6,1,3,4,2,7]=>0110010=>4
[5,8,4,6,1,3,2,7]=>0101010=>4
[7,3,4,5,2,8,1,6]=>1001010=>5
[5,7,4,3,6,1,8,2]=>0110101=>3
[2,6,4,3,7,8,5,1]=>0110011=>2
[7,4,1,8,3,2,5,6]=>1101100=>7
[6,2,1,7,8,4,5,3]=>1100101=>6
[7,6,3,1,5,4,8,2]=>1110101=>6
[2,4,6,5,1,7,8,3]=>0011001=>2
[1,4,7,5,6,8,2,3]=>0010010=>3
[1,4,7,6,5,8,2,3]=>0011010=>2
[3,7,5,2,4,6,8,1]=>0110001=>4
[5,6,1,7,4,2,8,3]=>0101101=>2
[3,7,4,8,1,2,6,5]=>0101001=>3
[6,3,5,7,8,1,4,2]=>1000101=>5
[3,6,5,7,1,8,4,2]=>0101011=>1
[6,4,7,8,2,1,3,5]=>1001100=>6
[6,7,3,8,4,1,2,5]=>0101100=>3
[2,7,8,3,4,6,1,5]=>0010010=>3
[7,5,8,4,1,3,2,6]=>1011010=>6
[4,7,5,8,3,1,2,6]=>0101100=>3
[3,6,7,4,8,1,2,5]=>0010100=>3
[5,7,3,1,6,8,4,2]=>0110011=>2
[2,7,3,1,8,6,4,5]=>0110110=>3
[2,8,4,3,1,5,7,6]=>0111001=>3
[4,8,1,2,3,5,7,6]=>0100001=>4
[7,6,8,1,2,4,3,5]=>1010010=>6
[7,6,8,5,1,3,2,4]=>1011010=>6
[2,8,5,4,6,1,7,3]=>0110101=>3
[8,4,5,2,7,6,1,3]=>1010110=>5
[8,7,6,4,1,2,5,3]=>1111001=>6
[6,7,1,3,5,2,8,4]=>0100101=>2
[5,7,2,3,6,8,1,4]=>0100010=>4
[8,5,3,2,7,6,1,4]=>1110110=>7
[3,4,6,7,5,8,1,2]=>0001010=>2
[3,4,5,7,6,1,8,2]=>0001101=>1
[2,6,4,5,7,8,3,1]=>0100011=>3
[3,8,5,1,6,2,7,4]=>0110101=>3
[2,5,1,3,6,8,7,4]=>0100011=>3
[5,4,6,1,3,7,8,2]=>1010001=>6
[6,3,5,7,1,4,8,2]=>1001001=>5
[7,3,4,6,8,1,5,2]=>1000101=>5
[7,5,2,8,4,1,3,6]=>1101100=>7
[3,7,6,4,1,8,2,5]=>0111010=>3
[3,7,8,4,1,5,6,2]=>0011001=>2
[8,7,5,4,2,1,6,3]=>1111101=>6
[3,5,8,6,7,4,2,1]=>0010111=>1
[5,8,1,6,7,3,4,2]=>0100101=>2
[6,7,2,5,1,8,4,3]=>0101011=>1
[5,8,2,1,6,7,4,3]=>0110011=>2
[4,5,2,8,6,3,7,1]=>0101101=>2
[3,6,1,2,5,8,4,7]=>0100010=>4
[1,4,5,8,2,3,7,6]=>0001001=>1
[1,2,6,4,5,8,3,7]=>0010010=>3
[1,5,2,4,6,8,3,7]=>0100010=>4
[3,6,1,5,8,2,4,7]=>0100100=>5
[2,6,5,1,4,8,3,7]=>0110010=>4
[5,2,6,1,4,8,3,7]=>1010010=>6
[2,5,1,8,4,7,3,6]=>0101010=>4
[2,7,1,4,3,6,8,5]=>0101001=>3
[1,3,7,5,8,2,4,6]=>0010100=>3
[8,2,1,5,7,3,4,6]=>1100100=>7
[2,5,4,8,1,3,7,6]=>0101001=>3
[2,4,1,3,8,6,7,5]=>0100101=>2
[8,4,3,7,1,2,6,5]=>1101001=>6
[1,7,3,5,8,2,6,4]=>0100101=>2
[1,8,4,2,6,7,3,5]=>0110010=>4
[3,1,6,8,7,2,4,5]=>1001100=>6
[7,2,1,6,8,3,4,5]=>1100100=>7
[3,1,7,6,8,2,4,5]=>1010100=>7
[4,1,7,2,6,8,3,5]=>1010010=>6
[5,1,7,2,3,6,8,4]=>1010001=>6
[7,2,1,6,3,5,8,4]=>1101001=>6
[2,6,1,7,3,5,8,4]=>0101001=>3
[7,1,2,5,3,6,8,4]=>1001001=>5
[5,4,1,2,7,8,3,6]=>1100010=>7
[8,1,3,2,4,6,7,5]=>1010001=>6
[7,3,1,2,4,6,8,5]=>1100001=>6
[1,8,3,4,7,2,5,6]=>0100100=>5
[3,5,8,1,2,7,4,6]=>0010010=>3
[3,6,8,1,2,4,7,5]=>0010001=>2
[4,1,3,8,7,2,6,5]=>1001101=>4
[1,3,7,4,8,2,6,5]=>0010101=>1
[1,4,6,8,2,3,7,5]=>0001001=>1
[3,5,8,1,7,2,4,6]=>0010100=>3
[2,6,8,1,7,3,4,5]=>0010100=>3
[6,1,5,8,2,3,7,4]=>1001001=>5
[1,8,3,2,7,5,6,4]=>0110101=>3
[3,1,7,2,8,5,6,4]=>1010101=>4
[2,6,7,3,8,1,5,4]=>0010101=>1
[8,4,1,7,3,6,2,5]=>1101010=>7
[3,7,2,8,6,1,5,4]=>0101101=>2
[6,2,3,8,7,1,5,4]=>1001101=>4
[5,1,7,8,4,2,6,3]=>1001101=>4
[5,1,8,7,4,2,6,3]=>1011101=>4
[4,7,2,8,3,6,5,1]=>0101011=>1
[4,1,7,8,5,3,6,2]=>1001101=>4
[5,1,7,4,8,3,6,2]=>1010101=>4
[4,1,8,7,5,3,6,2]=>1011101=>4
[4,8,2,7,3,6,5,1]=>0101011=>1
[4,7,2,6,3,5,8,1]=>0101001=>3
[6,8,2,4,3,7,5,1]=>0101011=>1
[6,7,2,4,3,8,5,1]=>0101011=>1
[6,8,2,7,3,5,4,1]=>0101011=>1
[3,8,7,2,4,1,5,6]=>0110100=>4
[3,7,8,2,4,1,5,6]=>0010100=>3
[3,6,8,2,4,5,7,1]=>0010001=>2
[3,6,7,2,4,5,8,1]=>0010001=>2
[6,5,1,4,2,3,8,7]=>1101001=>6
[8,6,1,7,2,5,4,3]=>1101011=>5
[8,7,6,1,2,3,5,4]=>1110001=>6
[5,4,3,1,6,2,8,7]=>1110101=>6
[8,3,4,7,1,6,2,5]=>1001010=>5
[6,3,4,1,8,5,2,7]=>1010110=>5
[3,8,5,2,7,1,6,4]=>0110101=>3
[2,8,6,7,5,3,4,1]=>0101101=>2
[2,1,8,7,3,6,4,5]=>1011010=>6
[3,6,5,8,2,4,7,1]=>0101001=>3
[5,2,1,8,7,3,4,6]=>1101100=>7
[6,5,2,7,4,3,8,1]=>1101101=>5
[4,6,5,2,7,3,8,1]=>0110101=>3
[6,2,7,1,8,3,5,4]=>1010101=>4
[2,7,5,4,8,3,6,1]=>0110101=>3
[8,7,5,1,2,6,4,3]=>1110011=>5
[8,4,3,2,7,1,6,5]=>1110101=>6
[7,1,6,2,3,8,5,4]=>1010011=>5
[4,8,1,3,2,7,5,6]=>0101010=>4
[3,8,1,4,7,5,2,6]=>0100110=>3
[6,3,8,7,4,5,1,2]=>1011010=>6
[6,1,4,8,5,2,3,7]=>1001100=>6
[8,5,7,4,6,2,1,3]=>1010110=>5
[4,6,7,8,2,3,5,1]=>0001001=>1
[8,7,4,6,2,1,5,3]=>1101101=>5
[7,6,1,3,5,2,8,4]=>1100101=>6
[5,8,3,2,4,6,1,7]=>0110010=>4
[8,2,6,5,3,1,7,4]=>1011101=>4
[4,8,7,6,5,2,3,1]=>0111101=>2
[2,1,8,6,4,3,7,5]=>1011101=>4
[2,1,7,6,5,3,8,4]=>1011101=>4
[2,7,6,1,3,5,8,4]=>0110001=>4
[7,2,5,4,6,1,8,3]=>1010101=>4
[4,7,6,1,2,5,8,3]=>0110001=>4
[2,4,1,7,6,8,5,3]=>0101011=>1
[3,4,1,7,8,5,6,2]=>0100101=>2
[7,5,4,3,1,8,6,2]=>1111011=>5
[8,5,6,2,7,3,1,4]=>1010110=>5
[8,4,2,5,6,1,7,3]=>1100101=>6
[6,3,5,4,1,7,8,2]=>1011001=>5
[4,1,3,6,7,5,8,2]=>1000101=>5
[1,7,5,3,8,2,4,6]=>0110100=>4
[1,7,2,4,5,8,3,6]=>0100010=>4
[8,2,5,3,1,6,4,7]=>1011010=>6
[1,7,4,5,8,3,2,6]=>0100110=>3
[2,6,4,7,8,3,5,1]=>0100101=>2
[2,6,4,7,8,3,1,5]=>0100110=>3
[1,2,6,4,7,8,3,5]=>0010010=>3
[2,7,4,5,8,1,3,6]=>0100100=>5
[2,7,5,3,1,8,4,6]=>0111010=>3
[6,1,4,7,8,3,5,2]=>1000101=>5
[3,6,4,7,8,1,5,2]=>0100101=>2
[4,3,6,7,1,8,5,2]=>1001011=>4
[4,3,6,7,1,8,2,5]=>1001010=>5
[3,6,4,7,8,1,2,5]=>0100100=>5
[2,3,6,4,1,7,8,5]=>0011001=>2
[4,7,2,1,5,3,8,6]=>0110101=>3
[3,7,4,5,2,1,8,6]=>0101101=>2
[1,3,6,4,7,2,8,5]=>0010101=>1
[3,6,4,7,2,8,5,1]=>0101011=>1
[5,1,3,4,2,7,8,6]=>1001001=>5
[5,4,2,1,3,7,8,6]=>1110001=>6
[6,1,7,3,8,2,5,4]=>1010101=>4
[1,6,7,3,8,2,5,4]=>0010101=>1
[6,1,4,7,8,5,2,3]=>1000110=>5
[6,3,2,1,7,8,5,4]=>1110011=>5
[6,2,7,3,1,8,5,4]=>1011011=>3
[6,2,4,7,8,1,5,3]=>1000101=>5
[2,6,7,3,1,8,5,4]=>0011011=>1
[8,6,5,1,3,2,4,7]=>1110100=>7
[6,4,7,8,3,2,5,1]=>1001101=>4
[3,8,4,7,1,2,5,6]=>0101000=>5
[8,6,1,2,5,4,3,7]=>1100110=>6
[4,8,6,1,5,3,2,7]=>0110110=>3
[5,8,6,4,1,3,2,7]=>0111010=>3
[8,3,6,4,5,2,1,7]=>1010110=>5
[6,8,5,7,4,2,3,1]=>0101101=>2
[2,3,8,7,1,6,4,5]=>0011010=>2
[4,3,7,8,1,6,2,5]=>1001010=>5
[3,5,8,7,4,1,2,6]=>0011100=>3
[7,3,8,4,1,2,5,6]=>1011000=>6
[4,8,1,2,7,3,5,6]=>0100100=>5
[6,8,1,2,7,4,5,3]=>0100101=>2
[5,6,8,4,1,3,7,2]=>0011001=>2
[8,5,4,7,1,6,3,2]=>1101011=>5
[2,5,8,7,3,6,4,1]=>0011011=>1
[2,4,8,7,5,6,1,3]=>0011010=>2
[3,7,4,8,5,6,2,1]=>0101011=>1
[6,4,8,7,5,1,2,3]=>1011100=>5
[3,8,5,2,4,6,7,1]=>0110001=>4
[5,7,1,8,4,6,2,3]=>0101010=>4
[6,3,8,7,2,1,4,5]=>1011100=>5
[2,3,7,8,5,6,1,4]=>0001010=>2
[3,7,6,8,5,1,2,4]=>0101100=>3
[2,6,7,8,5,1,3,4]=>0001100=>3
[2,4,7,8,1,6,3,5]=>0001010=>2
[5,4,7,8,2,6,3,1]=>1001011=>4
[2,8,3,4,1,5,7,6]=>0101001=>3
[6,8,3,4,1,2,7,5]=>0101001=>3
[6,8,7,1,5,2,3,4]=>0110100=>4
[5,8,3,2,7,6,1,4]=>0110110=>3
[2,5,3,1,8,6,7,4]=>0110101=>3
[4,5,3,2,8,6,7,1]=>0110101=>3
[3,5,8,6,1,4,7,2]=>0011001=>2
[2,8,5,6,1,4,7,3]=>0101001=>3
[4,8,6,1,5,2,7,3]=>0110101=>3
[5,8,2,3,7,6,1,4]=>0100110=>3
[4,6,8,5,3,2,7,1]=>0011101=>1
[2,6,4,8,5,1,7,3]=>0101101=>2
[7,6,4,8,5,2,1,3]=>1101110=>6
[3,4,8,6,5,2,7,1]=>0011101=>1
[3,4,8,7,5,6,2,1]=>0011011=>1
[7,5,3,2,8,6,1,4]=>1110110=>7
[2,5,1,3,8,6,7,4]=>0100101=>2
[4,5,1,2,8,6,7,3]=>0100101=>2
[5,4,8,1,3,6,7,2]=>1010001=>6
[8,3,5,4,1,6,7,2]=>1011001=>5
[7,3,4,8,5,6,1,2]=>1001010=>5
[6,1,5,7,2,4,8,3]=>1001001=>5
[7,4,5,1,2,3,8,6]=>1010001=>6
[7,4,3,1,2,8,5,6]=>1110010=>7
[8,4,7,6,2,1,5,3]=>1011101=>4
[8,4,6,5,7,1,3,2]=>1010101=>4
[7,2,1,4,5,8,3,6]=>1100010=>7
[7,4,1,6,3,5,8,2]=>1101001=>6
[3,5,7,6,4,1,8,2]=>0011101=>1
[4,7,5,2,1,3,8,6]=>0111001=>3
[5,7,2,3,6,4,8,1]=>0100101=>2
[8,6,2,3,7,1,4,5]=>1100100=>7
[5,7,2,4,8,3,6,1]=>0100101=>2
[1,7,2,4,8,6,3,5]=>0100110=>3
[7,6,1,5,4,8,3,2]=>1101011=>5
[4,7,3,2,1,8,5,6]=>0111010=>3
[3,1,7,2,5,8,4,6]=>1010010=>6
[4,8,7,6,1,2,5,3]=>0111001=>3
[7,8,6,1,3,2,5,4]=>0110101=>3
[2,8,6,7,4,1,3,5]=>0101100=>3
[5,8,6,4,2,3,1,7]=>0111010=>3
[2,8,3,1,6,5,4,7]=>0110110=>3
[3,8,1,2,5,7,4,6]=>0100010=>4
[6,8,5,4,2,7,3,1]=>0111011=>2
[6,8,3,1,2,4,5,7]=>0110000=>5
[4,6,8,7,3,1,5,2]=>0011101=>1
[6,5,3,7,8,4,1,2]=>1100110=>6
[4,1,3,8,7,5,6,2]=>1001101=>4
[6,2,7,4,8,1,3,5]=>1010100=>7
[8,4,5,2,1,6,3,7]=>1011010=>6
[4,3,2,6,8,1,7,5]=>1100101=>6
[7,1,5,6,3,8,2,4]=>1001010=>5
[5,1,2,4,7,8,3,6]=>1000010=>6
[3,5,4,2,8,1,6,7]=>0110100=>4
[5,1,3,8,4,2,7,6]=>1001101=>4
[6,2,8,7,3,5,4,1]=>1011011=>3
[7,1,8,4,3,6,5,2]=>1011011=>3
[3,6,8,7,4,1,2,5]=>0011100=>3
[5,6,8,1,7,3,2,4]=>0010110=>2
[3,1,6,8,7,4,2,5]=>1001110=>4
[7,4,6,8,2,1,5,3]=>1001101=>4
[6,5,8,4,3,1,2,7]=>1011100=>5
[2,5,8,3,6,7,4,1]=>0010011=>1
[8,5,1,3,7,4,6,2]=>1100101=>6
[1,5,8,3,7,4,2,6]=>0010110=>2
[3,8,2,7,1,5,6,4]=>0101001=>3
[5,8,2,3,6,4,1,7]=>0100110=>3
[6,8,2,3,4,7,5,1]=>0100011=>3
[7,5,1,8,4,2,6,3]=>1101101=>5
[3,6,8,5,2,7,4,1]=>0011011=>1
[2,1,6,5,4,8,3,7]=>1011010=>6
[2,1,7,8,4,6,5,3]=>1001011=>4
[2,1,7,4,3,5,8,6]=>1011001=>5
[3,5,7,8,4,6,1,2]=>0001010=>2
[7,5,2,8,4,6,3,1]=>1101011=>5
[7,8,2,4,3,1,5,6]=>0101100=>3
[7,6,3,8,1,5,4,2]=>1101011=>5
[8,4,3,1,7,5,2,6]=>1110110=>7
[7,3,1,4,6,8,5,2]=>1100011=>5
[4,3,8,7,1,6,5,2]=>1011011=>3
[4,7,1,8,5,2,6,3]=>0101101=>2
[5,2,4,3,6,8,1,7]=>1010010=>6
[3,8,6,5,4,1,2,7]=>0111100=>3
[4,7,5,6,3,8,2,1]=>0101011=>1
[4,2,7,5,8,3,6,1]=>1010101=>4
[5,8,2,7,3,4,6,1]=>0101001=>3
[6,7,2,4,5,3,8,1]=>0100101=>2
[6,3,2,1,4,8,5,7]=>1110010=>7
[6,2,3,1,4,7,8,5]=>1010001=>6
[5,2,1,3,6,4,8,7]=>1100101=>6
[7,1,8,3,5,4,6,2]=>1010101=>4
[7,1,2,4,8,5,6,3]=>1000101=>5
[7,2,1,3,4,5,8,6]=>1100001=>6
[8,7,3,5,4,2,1,6]=>1101110=>6
[8,4,6,5,3,2,1,7]=>1011110=>4
[5,1,6,4,3,2,8,7]=>1011101=>4
[8,3,7,1,4,6,5,2]=>1010011=>5
[2,8,3,6,4,7,5,1]=>0101011=>1
[6,2,1,7,5,8,3,4]=>1101010=>7
[6,3,8,7,5,2,1,4]=>1011110=>4
[6,7,2,1,5,8,4,3]=>0110011=>2
[9,1,8,7,6,5,4,3,2]=>10111111=>2
[7,6,8,1,5,4,3,2]=>1010111=>3
[7,1,9,8,6,5,4,3,2]=>10111111=>2
[6,1,9,8,7,5,4,3,2]=>10111111=>2
[5,4,8,7,6,1,3,2]=>1011101=>4
[5,1,9,8,7,6,4,3,2]=>10111111=>2
[4,1,9,8,7,6,5,3,2]=>10111111=>2
[3,1,9,8,7,6,5,4,2]=>10111111=>2
[10,1,9,8,7,6,5,4,3,2]=>101111111=>2
[9,8,1,7,6,5,4,3,2]=>11011111=>3
[7,6,1,8,5,4,3,2]=>1101111=>3
[8,7,9,1,6,5,4,3,2]=>10101111=>3
[8,1,10,9,7,6,5,4,3,2]=>101111111=>2
[6,5,8,1,7,4,3,2]=>1010111=>3
[7,6,9,8,1,5,4,3,2]=>10110111=>3
[7,1,10,9,8,6,5,4,3,2]=>101111111=>2
[6,5,9,8,7,1,4,3,2]=>10111011=>4
[6,1,10,9,8,7,5,4,3,2]=>101111111=>2
[6,5,8,7,4,1,3,2]=>1011101=>4
[5,4,9,8,7,6,1,3,2]=>10111101=>4
[5,1,10,9,8,7,6,4,3,2]=>101111111=>2
[4,3,9,8,7,6,5,1,2]=>10111110=>4
[4,1,10,9,8,7,6,5,3,2]=>101111111=>2
[3,2,9,8,7,6,5,4,1]=>10111111=>2
[3,1,10,9,8,7,6,5,4,2]=>101111111=>2
[1,6,4,8,3,2,5,7]=>0101100=>3
[1,8,3,5,6,2,4,7]=>0100100=>5
[1,4,8,5,6,2,3,7]=>0010100=>3
[1,2,8,5,3,7,4,6]=>0011010=>2
[6,1,4,8,2,3,5,7]=>1001000=>7
[8,7,2,5,6,1,4,3]=>1100101=>6
[1,8,2,5,4,7,3,6]=>0101010=>4
[5,7,4,1,2,3,8,6]=>0110001=>4
[1,7,4,2,5,3,8,6]=>0110101=>3
[6,7,4,2,1,3,8,5]=>0111001=>3
[6,4,3,8,5,7,1,2]=>1101010=>7
[7,4,3,6,2,1,5,8]=>1101100=>7
[6,8,4,2,3,1,5,7]=>0110100=>4
[3,7,5,2,4,1,6,8]=>0110100=>4
[5,2,8,6,1,3,4,7]=>1011000=>6
[7,4,8,2,3,1,5,6]=>1010100=>7
[4,2,7,3,1,5,6,8]=>1011000=>6
[7,6,4,5,1,8,2,3]=>1101010=>7
[8,6,4,1,3,7,2,5]=>1110010=>7
[5,3,6,1,8,2,4,7]=>1010100=>7
[3,1,8,5,4,7,6,2]=>1011011=>3
[4,1,5,8,3,7,6,2]=>1001011=>4
[4,1,5,3,8,7,6,2]=>1010111=>3
[4,5,1,8,2,7,6,3]=>0101011=>1
[4,8,5,3,1,7,6,2]=>0111011=>2
[4,5,2,8,1,7,6,3]=>0101011=>1
[4,5,2,1,8,7,6,3]=>0110111=>1
[5,6,2,7,8,1,4,3]=>0100101=>2
[4,6,2,8,7,1,5,3]=>0101101=>2
[4,8,6,3,7,1,5,2]=>0110101=>3
[4,8,6,3,7,5,1,2]=>0110110=>3
[4,6,8,2,7,5,1,3]=>0010110=>2
[4,6,2,8,7,5,1,3]=>0101110=>2
[5,6,2,7,4,1,8,3]=>0101101=>2
[5,6,7,2,3,1,8,4]=>0010101=>1
[5,6,7,2,8,3,1,4]=>0010110=>2
[5,6,7,2,1,8,3,4]=>0011010=>2
[5,6,7,2,1,3,8,4]=>0011001=>2
[5,6,1,7,8,2,4,3]=>0100101=>2
[5,6,1,7,2,4,8,3]=>0101001=>3
[5,1,6,7,8,3,4,2]=>1000101=>5
[4,1,6,8,7,3,5,2]=>1001101=>4
[3,1,8,6,7,5,4,2]=>1010111=>3
[4,1,6,8,7,5,3,2]=>1001111=>3
[5,1,6,7,4,8,3,2]=>1001011=>4
[5,6,1,7,8,4,2,3]=>0100110=>3
[4,6,8,1,7,5,2,3]=>0010110=>2
[4,8,6,1,7,5,3,2]=>0110111=>1
[5,6,7,1,8,3,2,4]=>0010110=>2
[5,6,7,1,3,8,2,4]=>0010010=>3
[5,6,7,1,3,2,8,4]=>0010101=>1
[5,6,7,3,1,2,8,4]=>0011001=>2
[5,6,7,3,8,1,2,4]=>0010100=>3
[5,6,8,7,4,2,1,3]=>0011110=>2
[5,6,7,3,8,2,1,4]=>0010110=>2
[7,4,6,2,3,5,1,8]=>1010010=>6
[1,4,8,6,3,2,5,7]=>0011100=>3
[7,4,1,6,3,8,5,2]=>1101011=>5
[7,6,3,1,5,8,4,2]=>1110011=>5
[6,4,2,5,7,3,1,8]=>1100110=>6
[4,2,5,7,6,3,1,8]=>1001110=>4
[7,4,5,6,1,8,3,2]=>1001011=>4
[4,1,5,8,6,3,2,7]=>1001110=>4
[3,2,7,6,1,8,5,4]=>1011011=>3
[4,7,5,1,6,8,2,3]=>0110010=>4
[8,6,5,1,2,7,4,3]=>1110011=>5
[3,2,5,1,4,8,7,6]=>1010011=>5
[8,5,4,1,3,2,7,6]=>1110101=>6
[1,4,2,3,6,8,7,5]=>0100011=>3
[5,4,8,3,7,1,6,2]=>1010101=>4
[4,7,1,8,2,5,3,6]=>0101010=>4
[6,4,1,8,5,3,7,2]=>1101101=>5
[8,4,6,1,3,5,2,7]=>1010010=>6
[3,2,5,4,7,8,1,6]=>1010010=>6
[5,2,4,3,7,8,1,6]=>1010010=>6
[8,1,6,7,2,5,3,4]=>1001010=>5
[3,1,7,6,5,8,2,4]=>1011010=>6
[1,2,7,5,6,8,3,4]=>0010010=>3
[6,1,4,7,2,8,3,5]=>1001010=>5
[3,2,1,7,6,8,4,5]=>1101010=>7
[3,2,8,6,4,7,1,5]=>1011010=>6
[7,8,4,6,3,2,1,5]=>0101110=>2
[1,8,6,5,3,7,2,4]=>0111010=>3
[8,2,5,3,6,7,1,4]=>1010010=>6
[3,8,5,2,7,6,1,4]=>0110110=>3
[4,7,5,3,1,8,6,2]=>0111011=>2
[4,5,3,6,8,1,7,2]=>0100101=>2
[3,5,2,6,1,8,7,4]=>0101011=>1
[1,6,3,5,7,2,8,4]=>0100101=>2
[1,5,4,6,7,8,2,3]=>0100010=>4
[8,4,6,5,7,2,1,3]=>1010110=>5
[7,4,5,2,6,8,1,3]=>1010010=>6
[5,4,2,6,8,7,1,3]=>1100110=>6
[7,8,4,3,1,2,6,5]=>0111001=>3
[6,5,1,4,3,2,8,7]=>1101101=>5
[2,6,5,1,4,7,3,8]=>0110010=>4
[3,6,4,5,2,1,8,7]=>0101101=>2
[5,7,4,1,3,8,6,2]=>0110011=>2
[7,5,4,2,3,8,1,6]=>1110010=>7
[5,2,6,7,3,1,4,8]=>1001100=>6
[2,4,3,8,6,1,5,7]=>0101100=>3
[7,8,1,3,5,6,2,4]=>0100010=>4
[7,8,3,1,5,6,2,4]=>0110010=>4
[7,1,3,8,5,6,2,4]=>1001010=>5
[1,7,8,3,5,6,2,4]=>0010010=>3
[5,1,7,8,3,4,6,2]=>1001001=>5
[1,5,7,8,3,4,6,2]=>0001001=>1
[3,7,1,5,8,6,2,4]=>0100110=>3
[1,3,7,8,2,5,6,4]=>0001001=>1
[3,1,7,8,5,2,6,4]=>1001101=>4
[1,3,7,5,8,2,6,4]=>0010101=>1
[3,1,7,5,8,2,6,4]=>1010101=>4
[3,5,7,1,8,4,6,2]=>0010101=>1
[3,5,7,8,1,4,6,2]=>0001001=>1
[5,3,7,8,4,6,1,2]=>1001010=>5
[5,3,7,8,4,1,6,2]=>1001101=>4
[5,3,7,8,1,4,6,2]=>1001001=>5
[5,3,7,1,8,4,6,2]=>1010101=>4
[1,5,3,7,8,4,2,6]=>0100110=>3
[5,1,3,7,8,4,2,6]=>1000110=>5
[3,6,2,1,4,5,8,7]=>0110001=>4
[4,6,2,5,1,3,8,7]=>0101001=>3
[6,4,2,5,1,3,8,7]=>1101001=>6
[8,6,1,7,3,2,4,5]=>1101100=>7
[2,5,8,1,7,3,4,6]=>0010100=>3
[6,8,2,7,3,1,4,5]=>0101100=>3
[6,8,2,3,7,1,4,5]=>0100100=>5
[8,6,2,7,4,5,1,3]=>1101010=>7
[5,2,8,1,7,3,4,6]=>1010100=>7
[4,2,3,8,1,5,6,7]=>1001000=>7
[5,2,8,3,7,1,4,6]=>1010100=>7
[5,2,8,4,6,1,3,7]=>1010100=>7
[2,1,5,8,4,3,6,7]=>1001100=>6
[5,8,3,2,7,1,4,6]=>0110100=>4
[4,1,3,8,2,5,6,7]=>1001000=>7
[3,5,8,2,7,1,4,6]=>0010100=>3
[4,5,8,2,6,1,3,7]=>0010100=>3
[2,6,8,3,7,1,4,5]=>0010100=>3
[5,1,8,3,7,2,4,6]=>1010100=>7
[5,1,8,4,6,2,3,7]=>1010100=>7
[5,8,4,1,6,2,3,7]=>0110100=>4
[4,5,8,1,6,2,3,7]=>0010100=>3
[5,4,8,1,6,2,3,7]=>1010100=>7
[4,8,5,1,6,2,3,7]=>0110100=>4
[2,1,5,4,8,3,6,7]=>1010100=>7
[2,4,3,8,1,5,6,7]=>0101000=>5
[3,1,8,4,2,5,6,7]=>1011000=>6
[3,8,4,2,1,5,6,7]=>0111000=>4
[2,3,8,4,1,5,6,7]=>0011000=>4
[3,4,2,8,1,5,6,7]=>0101000=>5
[3,8,5,2,7,1,4,6]=>0110100=>4
[4,8,5,2,6,1,3,7]=>0110100=>4
[2,1,4,8,5,3,6,7]=>1001100=>6
[3,2,8,4,1,5,6,7]=>1011000=>6
[2,8,4,3,1,5,6,7]=>0111000=>4
[4,1,7,5,6,2,8,3]=>1010101=>4
[5,7,4,3,8,1,6,2]=>0110101=>3
[5,7,4,3,8,2,6,1]=>0110101=>3
[3,8,4,2,6,7,5,1]=>0110011=>2
[3,8,4,1,6,7,5,2]=>0110011=>2
[6,1,7,5,2,8,4,3]=>1011011=>3
[5,6,4,3,2,8,1,7]=>0111010=>3
[2,6,7,5,3,8,4,1]=>0011011=>1
[6,7,4,8,2,5,3,1]=>0101011=>1
[2,1,6,7,5,3,8,4]=>1001101=>4
[3,8,4,2,1,6,7,5]=>0111001=>3
[5,7,4,3,8,2,1,6]=>0110110=>3
[6,7,4,8,1,2,5,3]=>0101001=>3
[6,7,5,8,1,2,4,3]=>0101001=>3
[6,7,4,8,3,1,2,5]=>0101100=>3
[3,4,8,1,2,5,7,6]=>0010001=>2
[6,1,3,4,8,2,5,7]=>1000100=>6
[6,2,3,4,8,1,5,7]=>1000100=>6
[3,4,8,2,1,5,7,6]=>0011001=>2
[6,7,5,8,2,4,3,1]=>0101011=>1
[6,7,5,8,3,1,4,2]=>0101101=>2
[3,4,8,1,5,7,6,2]=>0010011=>1
[2,5,7,6,1,4,8,3]=>0011001=>2
[6,7,4,8,2,3,5,1]=>0101001=>3
[6,7,4,8,1,3,5,2]=>0101001=>3
[2,6,7,5,1,3,8,4]=>0011001=>2
[6,3,1,4,8,2,5,7]=>1100100=>7
[6,7,4,8,1,3,2,5]=>0101010=>4
[6,7,5,8,4,1,3,2]=>0101101=>2
[6,7,4,8,2,1,3,5]=>0101100=>3
[6,7,4,8,1,2,3,5]=>0101000=>5
[1,5,6,3,4,8,2,7]=>0010010=>3
[1,4,3,6,5,8,2,7]=>0101010=>4
[8,1,3,4,7,2,6,5]=>1000101=>5
[5,1,7,3,4,8,2,6]=>1010010=>6
[6,7,8,2,3,5,4,1]=>0010011=>1
[5,8,6,2,3,7,4,1]=>0110011=>2
[2,8,3,4,7,5,6,1]=>0100101=>2
[1,8,3,4,7,6,2,5]=>0100110=>3
[8,7,2,3,6,5,4,1]=>1100111=>4
[3,8,1,7,5,2,6,4]=>0101101=>2
[4,8,1,6,7,2,5,3]=>0100101=>2
[2,1,3,8,4,6,5,7]=>1001010=>5
[8,2,1,7,4,3,6,5]=>1101101=>5
[1,3,2,8,5,4,6,7]=>0101100=>3
[8,3,1,5,7,2,6,4]=>1100101=>6
[8,4,5,1,7,2,6,3]=>1010101=>4
[1,5,6,8,7,4,2,3]=>0001110=>2
[8,4,5,7,6,3,2,1]=>1001111=>3
[1,4,8,5,7,6,2,3]=>0010110=>2
[2,4,8,5,7,3,6,1]=>0010101=>1
[4,3,8,6,5,7,2,1]=>1011011=>3
[6,7,2,8,5,3,4,1]=>0101101=>2
[5,2,7,8,6,3,4,1]=>1001101=>4
[4,2,8,6,7,3,5,1]=>1010101=>4
[3,2,8,7,5,4,6,1]=>1011101=>4
[3,1,8,7,5,6,2,4]=>1011010=>6
[4,1,8,6,7,5,2,3]=>1010110=>5
[5,1,7,8,6,4,2,3]=>1001110=>4
[6,7,1,8,5,4,2,3]=>0101110=>2
[7,8,3,2,6,1,4,5]=>0110100=>4
[3,4,8,2,6,1,7,5]=>0010101=>1
[7,8,4,1,5,6,3,2]=>0110011=>2
[7,8,1,4,5,6,3,2]=>0100011=>3
[7,8,1,2,6,3,4,5]=>0100100=>5
[7,8,5,1,4,6,3,2]=>0110011=>2
[7,8,4,5,1,6,3,2]=>0101011=>1
[5,3,8,4,1,6,7,2]=>1011001=>5
[6,2,4,8,1,5,3,7]=>1001010=>5
[3,4,8,5,1,6,7,2]=>0011001=>2
[3,5,8,1,4,6,7,2]=>0010001=>2
[1,4,8,2,6,3,7,5]=>0010101=>1
[5,3,8,1,4,6,7,2]=>1010001=>6
[4,2,6,8,1,5,3,7]=>1001010=>5
[7,4,2,8,1,5,3,6]=>1101010=>7
[6,1,7,5,8,4,3,2]=>1010111=>3
[6,2,1,8,4,5,3,7]=>1101010=>7
[1,2,7,8,5,3,4,6]=>0001100=>3
[6,3,7,8,5,4,1,2]=>1001110=>4
[6,1,5,7,8,4,3,2]=>1000111=>4
[1,7,5,6,8,4,3,2]=>0100111=>2
[3,1,8,4,5,6,7,2]=>1010001=>6
[2,1,4,8,6,5,3,7]=>1001110=>4
[2,4,1,8,6,5,3,7]=>0101110=>2
[4,2,1,8,6,5,3,7]=>1101110=>6
[3,2,7,8,5,1,4,6]=>1001100=>6
[2,3,7,8,5,1,4,6]=>0001100=>3
[2,7,3,8,5,1,4,6]=>0101100=>3
[3,6,2,8,5,1,4,7]=>0101100=>3
[4,1,2,8,7,5,3,6]=>1001110=>4
[1,4,2,8,7,5,3,6]=>0101110=>2
[7,3,6,8,5,4,1,2]=>1001110=>4
[7,2,1,8,5,3,4,6]=>1101100=>7
[1,2,6,8,4,5,3,7]=>0001010=>2
[7,1,6,5,8,4,3,2]=>1010111=>3
[6,5,7,1,8,4,3,2]=>1010111=>3
[5,7,6,1,8,4,3,2]=>0110111=>1
[6,7,1,5,8,4,3,2]=>0100111=>2
[6,7,3,8,5,4,1,2]=>0101110=>2
[7,1,2,8,4,5,3,6]=>1001010=>5
[7,6,1,5,8,4,3,2]=>1100111=>4
[7,5,6,1,8,4,3,2]=>1010111=>3
[9,10,7,8,5,6,2,1,3,4]=>010101100=>3
[9,10,7,8,4,3,5,6,1,2]=>010110010=>4
[9,10,7,8,4,2,5,1,3,6]=>010110100=>4
[9,10,7,8,3,2,1,4,5,6]=>010111000=>4
[9,10,6,5,7,8,3,4,1,2]=>011001010=>5
[9,10,6,5,7,8,2,1,3,4]=>011001100=>5
[9,10,6,4,7,3,5,8,1,2]=>011010010=>5
[9,10,6,4,7,2,5,1,3,8]=>011010100=>5
[9,10,6,3,7,2,1,4,5,8]=>011011000=>5
[9,10,5,4,3,6,7,8,1,2]=>011100010=>5
[9,10,5,4,2,6,7,1,3,8]=>011100100=>5
[9,10,5,3,2,6,1,4,7,8]=>011101000=>5
[9,10,4,3,2,1,5,6,7,8]=>011110000=>5
[8,7,9,10,5,6,3,4,1,2]=>100101010=>6
[8,7,9,10,5,6,2,1,3,4]=>100101100=>7
[8,7,9,10,4,3,5,6,1,2]=>100110010=>7
[8,7,9,10,4,2,5,1,3,6]=>100110100=>7
[8,7,9,10,3,2,1,4,5,6]=>100111000=>7
[8,6,9,5,7,10,3,4,1,2]=>101001010=>7
[8,6,9,5,7,10,2,1,3,4]=>101001100=>8
[8,6,9,4,7,3,5,10,1,2]=>101010010=>8
[8,6,9,3,7,2,1,4,5,10]=>101011000=>7
[8,5,9,4,3,6,7,10,1,2]=>101100010=>8
[8,5,9,4,2,6,7,1,3,10]=>101100100=>8
[8,5,9,3,2,6,1,4,7,10]=>101101000=>8
[8,4,9,3,2,1,5,6,7,10]=>101110000=>7
[7,6,5,8,9,10,3,4,1,2]=>110001010=>9
[7,6,5,8,9,10,2,1,3,4]=>110001100=>8
[7,6,4,8,9,3,5,10,1,2]=>110010010=>9
[7,6,4,8,9,2,5,1,3,10]=>110010100=>9
[7,6,3,8,9,2,1,4,5,10]=>110011000=>9
[7,5,4,8,3,6,9,10,1,2]=>110100010=>9
[7,5,4,8,2,6,9,1,3,10]=>110100100=>9
[7,4,3,8,2,1,5,6,9,10]=>110110000=>9
[6,5,4,3,7,8,9,10,1,2]=>111000010=>9
[6,5,4,2,7,8,9,1,3,10]=>111000100=>9
[6,5,3,2,7,8,1,4,9,10]=>111001000=>9
[10,9,11,12,7,8,5,6,3,4,1,2]=>10010101010=>7
[10,8,11,7,9,12,5,6,3,4,1,2]=>10100101010=>8
[7,1,6,5,3,2,4,8]=>1011100=>5
[1,8,7,5,3,2,4,6]=>0111100=>3
[1,8,7,4,2,5,3,6]=>0111010=>3
[8,7,4,2,5,3,6,1]=>1110101=>6
[7,1,6,4,2,5,3,8]=>1011010=>6
[2,6,5,4,7,1,3,8]=>0110100=>4
[7,1,5,3,6,4,2,8]=>1010110=>5
[5,3,7,1,6,4,2,8]=>1010110=>5
[5,3,6,4,2,7,1,8]=>1011010=>6
[1,5,3,8,7,4,2,6]=>0101110=>2
[7,4,2,8,6,3,5,1]=>1101101=>5
[5,3,6,1,8,7,4,2]=>1010111=>3
[6,1,5,3,8,7,4,2]=>1010111=>3
[2,8,7,5,4,6,1,3]=>0111010=>3
[2,3,1,8,7,5,4,6]=>0101110=>2
[5,3,8,7,4,2,1,6]=>1011110=>4
[7,4,2,1,8,6,3,5]=>1110110=>7
[8,6,3,5,7,4,2,1]=>1100111=>4
[1,8,6,3,5,7,4,2]=>0110011=>2
[6,3,8,5,2,1,7,4]=>1011101=>4
[8,6,3,7,4,2,1,5]=>1101110=>6
[2,8,6,4,7,5,1,3]=>0110110=>3
[5,1,8,6,3,7,4,2]=>1011011=>3
[6,3,7,4,1,8,5,2]=>1011011=>3
[8,5,2,6,3,7,4,1]=>1101011=>5
[6,1,8,7,4,2,5,3]=>1011101=>4
[8,6,3,7,4,2,5,1]=>1101101=>5
[1,8,6,3,2,4,7,5]=>0111001=>3
[8,6,3,2,4,7,5,1]=>1110011=>5
[7,5,1,8,6,3,2,4]=>1101110=>6
[6,1,8,7,5,3,2,4]=>1011110=>4
[4,3,2,8,7,6,1,5]=>1101110=>6
[2,4,5,1,3,8,7,6]=>0010011=>1
[7,5,8,6,3,2,4,1]=>1011101=>4
[1,7,5,8,6,3,2,4]=>0101110=>2
[1,7,4,2,5,8,6,3]=>0110011=>2
[8,6,3,1,7,4,2,5]=>1110110=>7
[8,7,4,2,5,3,1,6]=>1110110=>7
[5,3,1,8,7,4,2,6]=>1101110=>6
[4,1,8,7,5,3,2,6]=>1011110=>4
[2,8,6,4,1,3,7,5]=>0111001=>3
[4,1,8,6,3,2,7,5]=>1011101=>4
[7,4,2,8,6,3,1,5]=>1101110=>6
[6,3,1,8,5,2,7,4]=>1101101=>5
[8,5,2,6,3,1,7,4]=>1101101=>5
[7,4,8,5,2,6,3,1]=>1011011=>3
[1,8,5,2,7,4,6,3]=>0110101=>3
[8,5,2,7,4,6,3,1]=>1101011=>5
[7,4,6,3,1,8,5,2]=>1011011=>3
[6,3,1,7,4,8,5,2]=>1101011=>5
[8,6,3,1,5,7,4,2]=>1110011=>5
[4,1,7,5,8,6,3,2]=>1010111=>3
[2,3,1,7,5,8,6,4]=>0101011=>1
[7,4,8,5,2,1,6,3]=>1011101=>4
[8,5,2,1,7,4,6,3]=>1110101=>6
[1,7,4,6,3,8,5,2]=>0101011=>1
[3,6,5,2,1,4,8,7]=>0111001=>3
[3,5,6,2,1,4,8,7]=>0011001=>2
[3,5,7,8,1,4,2,6]=>0001010=>2
[4,1,8,5,7,3,2,6]=>1010110=>5
[4,1,7,5,8,3,2,6]=>1010110=>5
[2,1,5,8,7,4,3,6]=>1001110=>4
[2,1,5,7,8,4,3,6]=>1000110=>5
[5,1,7,4,8,3,2,6]=>1010110=>5
[4,7,2,8,3,6,1,5]=>0101010=>4
[4,6,2,7,3,1,8,5]=>0101101=>2
[3,7,8,2,4,1,6,5]=>0010101=>1
[3,8,7,2,4,1,6,5]=>0110101=>3
[3,8,6,2,4,1,7,5]=>0110101=>3
[1,3,2,7,6,5,10,9,8,4]=>010110111=>1
[1,4,3,6,5,2,10,9,8,7]=>010110111=>1
[1,4,3,7,6,2,10,9,8,5]=>010110111=>1
[1,5,4,7,6,3,10,9,8,2]=>010110111=>1
[1,4,3,8,7,2,10,9,6,5]=>010110111=>1
[1,5,4,8,7,3,10,9,6,2]=>010110111=>1
[2,3,1,6,5,4,10,9,8,7]=>010110111=>1
[2,3,1,7,6,5,10,9,8,4]=>010110111=>1
[2,4,1,6,5,3,10,9,8,7]=>010110111=>1
[2,4,1,7,6,3,10,9,8,5]=>010110111=>1
[2,5,1,7,6,4,10,9,8,3]=>010110111=>1
[2,4,1,8,7,3,10,9,6,5]=>010110111=>1
[2,5,1,8,7,4,10,9,6,3]=>010110111=>1
[3,4,2,6,5,1,10,9,8,7]=>010110111=>1
[3,4,2,7,6,1,10,9,8,5]=>010110111=>1
[3,5,2,7,6,1,10,9,8,4]=>010110111=>1
[4,5,3,7,6,2,10,9,8,1]=>010110111=>1
[3,4,2,8,7,1,10,9,6,5]=>010110111=>1
[3,5,2,8,7,1,10,9,6,4]=>010110111=>1
[4,5,3,8,7,2,10,9,6,1]=>010110111=>1
[2,5,1,6,4,3,10,9,8,7]=>010110111=>1
[2,5,1,7,4,3,10,9,8,6]=>010110111=>1
[2,6,1,7,5,4,10,9,8,3]=>010110111=>1
[2,5,1,8,4,3,10,9,7,6]=>010110111=>1
[2,6,1,8,5,4,10,9,7,3]=>010110111=>1
[3,5,2,6,4,1,10,9,8,7]=>010110111=>1
[3,5,2,7,4,1,10,9,8,6]=>010110111=>1
[3,6,2,7,5,1,10,9,8,4]=>010110111=>1
[4,6,3,7,5,2,10,9,8,1]=>010110111=>1
[3,5,2,8,4,1,10,9,7,6]=>010110111=>1
[3,6,2,8,5,1,10,9,7,4]=>010110111=>1
[4,6,3,8,5,2,10,9,7,1]=>010110111=>1
[3,7,2,8,6,1,10,9,5,4]=>010110111=>1
[4,7,3,8,6,2,10,9,5,1]=>010110111=>1
[2,5,1,9,4,3,10,8,7,6]=>010110111=>1
[2,6,1,9,5,4,10,8,7,3]=>010110111=>1
[3,5,2,9,4,1,10,8,7,6]=>010110111=>1
[3,6,2,9,5,1,10,8,7,4]=>010110111=>1
[4,6,3,9,5,2,10,8,7,1]=>010110111=>1
[3,7,2,9,6,1,10,8,5,4]=>010110111=>1
[6,2,8,4,1,7,3,5]=>1011010=>6
[7,3,4,8,1,6,2,5]=>1001010=>5
[6,3,4,8,1,7,2,5]=>1001010=>5
[5,3,4,8,1,2,7,6]=>1001001=>5
[4,3,5,8,1,2,7,6]=>1001001=>5
[1,8,5,4,2,3,7,6]=>0111001=>3
[3,5,4,8,1,2,7,6]=>0101001=>3
[4,5,3,8,1,2,7,6]=>0101001=>3
[6,4,3,8,1,7,2,5]=>1101010=>7
[7,4,3,8,1,6,2,5]=>1101010=>7
[6,5,3,8,7,1,2,4]=>1101100=>7
[5,6,3,8,7,1,2,4]=>0101100=>3
[4,6,3,8,1,7,2,5]=>0101010=>4
[2,6,8,4,1,7,3,5]=>0011010=>2
[1,8,7,4,2,6,3,5]=>0111010=>3
[5,7,3,8,6,1,2,4]=>0101100=>3
[3,7,5,8,6,1,2,4]=>0101100=>3
[2,7,8,5,6,1,3,4]=>0010100=>3
[1,8,7,5,6,2,3,4]=>0110100=>4
[2,6,8,5,7,1,3,4]=>0010100=>3
[5,3,6,8,7,1,2,4]=>1001100=>6
[6,3,5,8,7,1,2,4]=>1001100=>6
[7,2,8,5,6,1,3,4]=>1010100=>7
[5,2,8,6,7,1,3,4]=>1010100=>7
[1,8,3,2,7,6,4,5]=>0110110=>3
[5,2,8,7,6,1,3,4]=>1011100=>5
[6,2,8,7,5,1,3,4]=>1011100=>5
[3,4,7,8,1,6,2,5]=>0001010=>2
[1,8,5,7,6,2,3,4]=>0101100=>3
[2,5,8,7,6,1,3,4]=>0011100=>3
[7,4,6,5,8,1,2,3]=>1010100=>7
[3,6,7,8,5,1,2,4]=>0001100=>3
[2,6,8,7,5,1,3,4]=>0011100=>3
[1,8,6,7,5,2,3,4]=>0101100=>3
[2,7,8,6,5,1,3,4]=>0011100=>3
[5,7,6,4,8,1,2,3]=>0110100=>4
[6,3,8,7,5,1,2,4]=>1011100=>5
[2,8,7,4,1,3,5,6]=>0111000=>4
[5,4,8,7,1,3,2,6]=>1011010=>6
[4,8,6,1,3,2,5,7]=>0110100=>4
[5,4,2,7,6,8,1,3]=>1101010=>7
[2,8,7,1,4,5,3,6]=>0110010=>4
[4,2,1,8,7,3,5,6]=>1101100=>7
[5,1,6,3,2,8,7,4]=>1011011=>3
[4,6,1,8,7,3,2,5]=>0101110=>2
[8,7,2,3,5,4,1,6]=>1100110=>6
[5,3,1,4,8,7,2,6]=>1100110=>6
[4,3,5,2,8,7,1,6]=>1010110=>5
[3,4,2,8,6,1,5,7]=>0101100=>3
[3,7,6,8,1,5,2,4]=>0101010=>4
[8,1,4,2,3,6,7,5]=>1010001=>6
[3,7,2,1,8,6,4,5]=>0110110=>3
[2,8,6,1,7,3,5,4]=>0110101=>3
[1,7,6,3,5,8,2,4]=>0110010=>4
[3,7,5,1,6,8,2,4]=>0110010=>4
[3,6,5,8,1,4,7,2]=>0101001=>3
[8,1,5,6,4,7,2,3]=>1001010=>5
[3,6,7,4,1,8,2,5]=>0011010=>2
[1,7,4,6,8,2,5,3]=>0100101=>2
[7,5,8,2,6,3,1,4]=>1010110=>5
[2,7,1,6,5,4,8,3]=>0101101=>2
[7,3,2,6,1,8,5,4]=>1101011=>5
[6,4,7,2,3,1,8,5]=>1010101=>4
[5,3,1,8,4,6,2,7]=>1101010=>7
[3,8,1,6,7,4,2,5]=>0100110=>3
[2,7,4,3,6,8,1,5]=>0110010=>4
[2,8,4,6,1,5,3,7]=>0101010=>4
[8,4,1,6,3,2,5,7]=>1101100=>7
[4,7,3,8,5,2,1,6]=>0101110=>2
[3,1,7,4,8,5,2,6]=>1010110=>5
[7,4,1,6,3,2,8,5]=>1101101=>5
[3,8,6,2,7,4,1,5]=>0110110=>3
[7,3,1,4,5,2,8,6]=>1100101=>6
[6,1,4,8,5,3,2,7]=>1001110=>4
[8,1,2,4,6,7,5,3]=>1000011=>5
[8,1,3,6,7,5,4,2]=>1000111=>4
[7,5,2,3,8,6,1,4]=>1100110=>6
[8,6,2,4,1,3,7,5]=>1101001=>6
[4,7,5,1,8,6,3,2]=>0110111=>1
[4,7,3,2,8,5,6,1]=>0110101=>3
[8,4,5,7,6,1,3,2]=>1001101=>4
[7,5,8,4,2,3,6,1]=>1011001=>5
[3,8,4,6,1,7,5,2]=>0101011=>1
[3,7,4,6,5,2,8,1]=>0101101=>2
[4,2,7,6,1,5,8,3]=>1011001=>5
[8,3,1,4,5,7,6,2]=>1100011=>5
[3,5,1,6,8,4,7,2]=>0100101=>2
[6,1,5,7,3,8,4,2]=>1001011=>4
[5,8,4,7,3,2,6,1]=>0101101=>2
[7,2,6,5,8,4,1,3]=>1010110=>5
[8,3,2,5,1,6,7,4]=>1101001=>6
[2,6,8,3,7,4,1,5]=>0010110=>2
[8,1,5,6,4,7,3,2]=>1001011=>4
[2,5,8,1,6,4,7,3]=>0010101=>1
[7,4,1,8,3,2,6,5]=>1101101=>5
[8,3,7,4,2,1,6,5]=>1011101=>4
[5,2,6,8,3,1,7,4]=>1001101=>4
[3,6,5,8,4,1,7,2]=>0101101=>2
[7,3,6,1,8,4,5,2]=>1010101=>4
[8,2,7,3,4,6,5,1]=>1010011=>5
[7,3,8,2,5,6,4,1]=>1010011=>5
[5,7,3,1,6,4,8,2]=>0110101=>3
[6,1,3,2,4,8,7,5]=>1010011=>5
[8,7,4,2,3,6,1,5]=>1110010=>7
[8,7,1,5,4,2,3,6]=>1101100=>7
[3,7,1,5,2,8,6,4]=>0101011=>1
[8,7,2,5,4,1,3,6]=>1101100=>7
[8,7,2,5,3,1,4,6]=>1101100=>7
[5,2,8,7,1,4,3,6]=>1011010=>6
[7,1,8,6,2,4,3,5]=>1011010=>6
[8,1,6,2,7,5,3,4]=>1010110=>5
[7,1,6,2,8,5,3,4]=>1010110=>5
[6,3,4,1,7,2,8,5]=>1010101=>4
[7,2,4,3,5,1,8,6]=>1010101=>4
[5,1,7,2,3,8,6,4]=>1010011=>5
[8,2,3,5,1,7,6,4]=>1001011=>4
[7,6,3,1,4,8,2,5]=>1110010=>7
[6,1,8,2,7,5,3,4]=>1010110=>5
[7,2,8,1,6,5,3,4]=>1010110=>5
[7,2,6,4,3,8,1,5]=>1011010=>6
[5,1,7,4,3,8,2,6]=>1011010=>6
[5,3,1,7,4,8,2,6]=>1101010=>7
[7,4,8,2,1,5,3,6]=>1011010=>6
[8,2,4,1,6,3,7,5]=>1010101=>4
[8,2,7,5,1,6,4,3]=>1011011=>3
[6,1,7,3,2,8,5,4]=>1011011=>3
[4,7,2,1,6,3,8,5]=>0110101=>3
[6,2,1,5,3,8,4,7]=>1101010=>7
[5,3,1,6,2,8,4,7]=>1101010=>7
[6,1,5,2,8,4,3,7]=>1010110=>5
[7,4,3,8,1,5,2,6]=>1101010=>7
[7,4,8,1,5,3,2,6]=>1010110=>5
[6,1,5,3,2,8,4,7]=>1011010=>6
[6,3,2,8,4,1,5,7]=>1101100=>7
[7,3,4,2,8,5,1,6]=>1010110=>5
[7,1,6,3,4,2,8,5]=>1010101=>4
[8,5,1,3,7,4,2,6]=>1100110=>6
[3,8,6,1,5,2,7,4]=>0110101=>3
[8,6,1,3,7,5,2,4]=>1100110=>6
[4,8,5,6,1,7,3,2]=>0101011=>1
[6,7,1,3,8,5,2,4]=>0100110=>3
[3,6,7,1,5,2,8,4]=>0010101=>1
[7,1,3,8,4,2,6,5]=>1001101=>4
[5,6,2,7,1,3,8,4]=>0101001=>3
[5,6,2,8,1,3,7,4]=>0101001=>3
[6,1,8,3,7,5,2,4]=>1010110=>5
[7,4,2,1,5,8,3,6]=>1110010=>7
[7,4,1,5,8,3,2,6]=>1100110=>6
[7,3,2,6,4,8,1,5]=>1101010=>7
[6,4,2,7,3,8,1,5]=>1101010=>7
[5,1,8,3,7,4,2,6]=>1010110=>5
[7,4,8,3,1,5,2,6]=>1011010=>6
[5,2,1,7,4,8,3,6]=>1101010=>7
[6,1,8,4,5,2,7,3]=>1010101=>4
[7,1,6,4,5,2,8,3]=>1010101=>4
[3,5,2,7,1,6,8,4]=>0101001=>3
[4,5,7,3,1,6,8,2]=>0011001=>2
[4,5,7,2,8,6,1,3]=>0010110=>2
[3,5,1,7,2,6,8,4]=>0101001=>3
[4,5,7,2,8,1,3,6]=>0010100=>3
[4,6,7,2,1,5,8,3]=>0011001=>2
[4,6,7,1,3,8,5,2]=>0010011=>1
[3,6,1,5,7,8,4,2]=>0100011=>3
[4,6,7,1,5,8,3,2]=>0010011=>1
[6,1,3,7,4,8,5,2]=>1001011=>4
[3,2,1,7,4,8,5,6]=>1101010=>7
[4,1,5,2,7,6,3,8]=>1010110=>5
[2,5,1,3,7,6,4,8]=>0100110=>3
[2,5,1,4,3,8,6,7]=>0101010=>4
[3,7,2,1,5,8,6,4]=>0110011=>2
[6,2,7,1,4,8,5,3]=>1010011=>5
[3,7,4,2,1,8,5,6]=>0111010=>3
[7,2,5,3,1,8,6,4]=>1011011=>3
[7,5,1,4,2,8,6,3]=>1101011=>5
[7,5,4,1,3,8,6,2]=>1110011=>5
[5,3,2,1,7,6,4,8]=>1110110=>7
[6,3,2,8,1,5,7,4]=>1101001=>6
[7,4,3,2,8,1,6,5]=>1110101=>6
[7,6,2,4,8,3,5,1]=>1100101=>6
[7,3,6,4,8,1,5,2]=>1010101=>4
[2,7,5,3,8,1,4,6]=>0110100=>4
[1,8,5,3,6,4,2,7]=>0110110=>3
[8,6,2,3,7,5,4,1]=>1100111=>4
[8,6,3,2,7,5,4,1]=>1110111=>4
[8,3,2,7,1,6,4,5]=>1101010=>7
[7,2,6,1,5,4,3,8]=>1010110=>5
[8,5,7,4,3,6,2,1]=>1011011=>3
[8,5,7,2,4,6,3,1]=>1010011=>5
[8,4,6,7,1,3,2,5]=>1001010=>5
[2,8,5,6,1,4,3,7]=>0101010=>4
[7,2,6,8,4,1,5,3]=>1001101=>4
[7,6,4,8,3,2,5,1]=>1101101=>5
[6,5,8,1,4,2,7,3]=>1010101=>4
[6,5,8,4,1,3,7,2]=>1011001=>5
[5,4,8,3,2,1,7,6]=>1011101=>4
[4,3,7,2,1,6,5,8]=>1011010=>6
[2,5,8,1,4,3,7,6]=>0010101=>1
[3,6,8,2,1,5,7,4]=>0011001=>2
[5,7,4,8,1,3,6,2]=>0101001=>3
[5,7,1,4,8,2,6,3]=>0100101=>2
[2,7,4,1,8,3,6,5]=>0110101=>3
[3,5,1,8,4,2,7,6]=>0101101=>2
[4,1,5,7,3,6,2,8]=>1001010=>5
[4,2,5,8,3,1,7,6]=>1001101=>4
[6,1,2,7,8,3,5,4]=>1000101=>5
[5,3,1,8,6,4,2,7]=>1101110=>6
[3,1,8,4,7,5,2,6]=>1010110=>5
[4,2,8,7,3,5,1,6]=>1011010=>6
[4,8,1,7,6,2,3,5]=>0101100=>3
[6,8,1,4,7,5,2,3]=>0100110=>3
[7,3,8,1,6,4,2,5]=>1010110=>5
[4,7,8,1,5,3,2,6]=>0010110=>2
[7,1,8,6,2,5,3,4]=>1011010=>6
[5,8,7,1,3,6,4,2]=>0110011=>2
[3,8,7,2,1,6,4,5]=>0111010=>3
[2,8,7,1,6,3,5,4]=>0110101=>3
[3,7,6,1,5,4,2,8]=>0110110=>3
[4,8,7,6,1,3,5,2]=>0111001=>3
[5,8,7,2,6,1,4,3]=>0110101=>3
[6,8,1,7,5,2,4,3]=>0101101=>2
[7,3,8,6,5,1,2,4]=>1011100=>5
[5,7,8,4,3,1,2,6]=>0011100=>3
[5,8,6,4,3,2,1,7]=>0111110=>2
[8,7,3,6,4,2,1,5]=>1101110=>6
[6,1,4,2,5,3,7,8]=>1010100=>7
[1,3,7,5,4,2,8,6]=>0011101=>1
[6,1,3,5,4,2,7,8]=>1001100=>6
[6,1,2,5,4,7,3,8]=>1001010=>5
[5,1,6,3,4,7,8,2]=>1010001=>6
[5,2,6,3,4,7,1,8]=>1010010=>6
[3,4,7,5,8,6,1,2]=>0010110=>2
[2,4,7,1,5,3,8,6]=>0010101=>1
[2,3,6,7,4,8,1,5]=>0001010=>2
[1,3,6,7,4,8,5,2]=>0001011=>1
[2,7,6,5,3,1,8,4]=>0111101=>2
[5,2,6,1,4,7,8,3]=>1010001=>6
[4,7,6,5,2,1,8,3]=>0111101=>2
[5,3,6,2,4,1,7,8]=>1010100=>7
[5,7,4,2,1,3,6,8]=>0111000=>4
[6,3,1,5,4,7,8,2]=>1101001=>6
[5,3,6,1,4,2,7,8]=>1010100=>7
[1,7,4,2,6,3,8,5]=>0110101=>3
[5,7,4,1,2,3,6,8]=>0110000=>5
[6,4,1,2,5,3,7,8]=>1100100=>7
[4,7,6,3,8,5,1,2]=>0110110=>3
[3,7,6,5,2,8,1,4]=>0111010=>3
[3,7,6,5,1,2,8,4]=>0111001=>3
[4,7,2,6,1,3,8,5]=>0101001=>3
[2,7,1,6,8,3,5,4]=>0100101=>2
[2,7,6,5,8,1,4,3]=>0110101=>3
[9,1,2,3,4,5,6,8,7]=>10000001=>7
[10,1,2,3,4,5,6,7,9,8]=>100000001=>8
[9,1,2,3,4,5,7,8,6]=>10000001=>7
[2,3,4,5,6,9,7,8,1]=>00000101=>1
[2,3,4,5,6,7,8,10,9,1]=>000000011=>1
[9,2,1,8,7,6,5,4,3]=>11011111=>3
[3,2,10,9,8,7,6,5,4,1]=>101111111=>2
[3,9,2,8,7,6,5,4,1]=>01011111=>1
[4,2,9,8,7,6,5,3,1]=>10111111=>2
[5,2,8,7,6,4,3,1]=>1011111=>2
[8,2,7,6,1,5,4,3]=>1011011=>3
[9,2,8,1,7,6,5,4,3]=>10101111=>3
[8,4,1,7,6,5,3,2]=>1101111=>3
[9,3,1,8,7,6,5,4,2]=>11011111=>3
[10,2,1,9,8,7,6,5,4,3]=>110111111=>3
[4,5,6,2,3,8,1,7]=>0010010=>3
[4,5,3,2,7,8,1,6]=>0110010=>4
[6,5,7,3,8,4,2,1]=>1010111=>3
[6,8,7,2,4,3,5,1]=>0110101=>3
[3,2,7,4,5,8,1,6]=>1010010=>6
[6,8,1,5,2,4,3,7]=>0101010=>4
[8,3,4,6,1,5,2,7]=>1001010=>5
[2,3,4,7,5,8,1,6]=>0001010=>2
[6,3,4,7,8,2,5,1]=>1000101=>5
[5,3,7,4,8,6,1,2]=>1010110=>5
[8,3,6,4,1,7,2,5]=>1011010=>6
[1,3,7,4,8,6,2,5]=>0010110=>2
[3,7,8,5,4,1,2,6]=>0011100=>3
[5,4,3,1,7,8,2,6]=>1110010=>7
[5,7,6,2,8,4,1,3]=>0110110=>3
[6,1,7,5,8,3,4,2]=>1010101=>4
[7,5,6,4,1,3,8,2]=>1011001=>5
[1,5,6,8,4,7,3,2]=>0001011=>1
[4,1,3,7,6,5,8,2]=>1001101=>4
[3,4,1,7,5,8,6,2]=>0101011=>1
[8,5,7,4,3,1,6,2]=>1011101=>4
[6,8,5,1,7,2,4,3]=>0110101=>3
[8,2,4,1,3,7,6,5]=>1010011=>5
[7,8,3,6,2,1,4,5]=>0101100=>3
[8,1,7,4,2,3,6,5]=>1011001=>5
[1,8,7,2,3,5,6,4]=>0110001=>4
[2,8,3,1,6,7,5,4]=>0110011=>2
[8,2,3,1,5,7,6,4]=>1010011=>5
[3,8,4,1,2,7,6,5]=>0110011=>2
[5,4,7,2,3,6,8,1]=>1010001=>6
[6,3,2,1,8,4,7,5]=>1110101=>6
[2,3,7,4,1,8,5,6]=>0011010=>2
[6,4,1,3,2,7,8,5]=>1101001=>6
[2,7,8,5,1,3,6,4]=>0011001=>2
[8,2,5,6,7,1,3,4]=>1000100=>6
[2,8,5,4,7,6,1,3]=>0110110=>3
[6,7,1,5,8,2,4,3]=>0100101=>2
[4,8,7,6,2,3,5,1]=>0111001=>3
[7,8,1,5,3,2,6,4]=>0101101=>2
[6,5,7,3,8,2,1,4]=>1010110=>5
[8,1,4,7,2,5,6,3]=>1001001=>5
[7,3,4,6,1,5,8,2]=>1001001=>5
[8,3,4,5,7,1,6,2]=>1000101=>5
[4,2,6,8,3,1,5,7]=>1001100=>6
[3,7,6,2,4,5,1,8]=>0110010=>4
[2,3,6,5,8,1,4,7]=>0010100=>3
[2,3,5,8,6,1,4,7]=>0001100=>3
[4,2,3,8,6,1,5,7]=>1001100=>6
[6,4,1,2,8,3,5,7]=>1100100=>7
[1,2,3,7,4,6,8,5]=>0001001=>1
[3,2,7,1,4,5,8,6]=>1010001=>6
[2,1,5,3,8,7,4,6]=>1010110=>5
[5,8,3,2,4,1,6,7]=>0110100=>4
[4,2,7,1,8,3,5,6]=>1010100=>7
[4,1,8,2,7,3,5,6]=>1010100=>7
[1,2,7,5,3,8,4,6]=>0011010=>2
[3,2,7,1,4,8,5,6]=>1010010=>6
[1,2,3,7,6,8,4,5]=>0001010=>2
[1,2,3,6,8,7,4,5]=>0000110=>2
[1,2,3,7,8,4,6,5]=>0000101=>1
[1,2,3,6,8,4,7,5]=>0000101=>1
[1,2,3,7,8,6,4,5]=>0000110=>2
[6,2,8,3,7,5,1,4]=>1010110=>5
[4,2,8,3,7,5,6,1]=>1010101=>4
[7,3,4,8,6,5,1,2]=>1001110=>4
[5,3,4,8,7,2,6,1]=>1001101=>4
[4,3,5,8,7,2,6,1]=>1001101=>4
[4,6,3,8,5,7,2,1]=>0101011=>1
[7,5,3,8,6,2,4,1]=>1101101=>5
[2,6,8,3,7,4,5,1]=>0010101=>1
[1,8,4,3,7,5,6,2]=>0110101=>3
[2,5,8,3,7,4,6,1]=>0010101=>1
[7,4,3,8,6,2,5,1]=>1101101=>5
[3,5,4,8,7,2,6,1]=>0101101=>2
[4,5,3,8,6,7,2,1]=>0101011=>1
[3,6,7,8,4,5,2,1]=>0001011=>1
[2,6,8,5,4,7,3,1]=>0011011=>1
[1,8,5,6,4,7,3,2]=>0101011=>1
[2,5,8,6,4,7,3,1]=>0011011=>1
[7,4,6,5,8,3,2,1]=>1010111=>3
[6,3,7,8,4,5,2,1]=>1001011=>4
[4,3,7,8,5,6,2,1]=>1001011=>4
[5,2,8,6,4,7,3,1]=>1011011=>3
[4,2,8,6,5,7,3,1]=>1011011=>3
[3,2,8,6,7,4,5,1]=>1010101=>4
[2,3,8,7,5,4,6,1]=>0011101=>1
[1,8,2,7,4,5,6,3]=>0101001=>3
[7,2,8,6,3,4,5,1]=>1011001=>5
[6,2,8,4,5,7,3,1]=>1010011=>5
[5,2,8,4,6,7,3,1]=>1010011=>5
[4,2,8,5,6,7,3,1]=>1010011=>5
[4,3,6,8,5,7,2,1]=>1001011=>4
[3,4,6,8,7,2,5,1]=>0001101=>1
[7,3,5,8,6,2,4,1]=>1001101=>4
[1,8,3,5,7,4,6,2]=>0100101=>2
[2,7,8,4,5,6,3,1]=>0010011=>1
[3,7,5,8,4,6,2,1]=>0101011=>1
[5,7,4,6,8,3,2,1]=>0100111=>2
[3,6,5,8,4,7,2,1]=>0101011=>1
[2,6,8,4,5,7,3,1]=>0010011=>1
[4,2,7,1,3,8,5,6]=>1010010=>6
[4,2,5,1,3,8,6,7]=>1010010=>6
[5,3,6,1,7,2,4,8]=>1010100=>7
[3,7,1,2,5,8,6,4]=>0100011=>3
[3,7,4,1,2,8,5,6]=>0110010=>4
[7,5,1,3,4,8,6,2]=>1100011=>5
[7,5,1,2,4,8,6,3]=>1100011=>5
[6,4,2,3,7,1,5,8]=>1100100=>7
[7,6,3,8,1,2,5,4]=>1101001=>6
[7,4,2,3,8,1,6,5]=>1100101=>6
[4,7,5,2,8,1,3,6]=>0110100=>4
[8,2,6,3,7,1,4,5]=>1010100=>7
[8,6,1,2,7,4,5,3]=>1100101=>6
[8,4,7,1,2,3,6,5]=>1010001=>6
[8,5,7,1,2,4,6,3]=>1010001=>6
[8,5,7,1,3,4,6,2]=>1010001=>6
[8,6,2,7,1,3,5,4]=>1101001=>6
[3,8,5,6,1,2,4,7]=>0101000=>5
[3,7,5,8,1,2,4,6]=>0101000=>5
[7,6,4,8,1,3,5,2]=>1101001=>6
[6,5,8,1,2,4,7,3]=>1010001=>6
[3,6,8,1,2,5,7,4]=>0010001=>2
[3,7,2,4,8,1,6,5]=>0100101=>2
[4,6,3,8,1,2,5,7]=>0101000=>5
[4,6,3,7,1,2,5,8]=>0101000=>5
[4,1,7,8,2,3,6,5]=>1001001=>5
[5,1,2,8,6,3,4,7]=>1001100=>6
[5,3,8,1,6,2,4,7]=>1010100=>7
[6,1,8,5,2,3,4,7]=>1011000=>6
[6,1,7,5,2,3,4,8]=>1011000=>6
[6,8,1,3,7,4,5,2]=>0100101=>2
[7,2,8,1,6,3,4,5]=>1010100=>7
[4,7,8,2,5,1,3,6]=>0010100=>3
[6,8,2,7,1,4,5,3]=>0101001=>3
[4,8,7,1,3,5,6,2]=>0110001=>4
[3,8,7,1,2,4,6,5]=>0110001=>4
[4,8,7,1,2,3,6,5]=>0110001=>4
[5,8,7,1,2,4,6,3]=>0110001=>4
[5,8,7,1,3,4,6,2]=>0110001=>4
[7,1,8,6,2,3,5,4]=>1011001=>5
[5,8,6,4,1,2,3,7]=>0111000=>4
[7,8,4,1,2,5,3,6]=>0110010=>4
[7,8,1,2,6,5,3,4]=>0100110=>3
[1,4,8,2,7,5,3,6]=>0010110=>2
[6,1,3,4,7,2,5,8]=>1000100=>6
[7,8,2,1,6,3,5,4]=>0110101=>3
[6,1,2,7,5,4,3,8]=>1001110=>4
[1,2,8,7,5,4,3,6]=>0011110=>2
[5,1,7,3,6,4,8,2]=>1010101=>4
[6,2,1,5,7,4,3,8]=>1100110=>6
[6,2,3,7,4,1,5,8]=>1001100=>6
[3,4,8,7,5,6,1,2]=>0011010=>2
[2,3,8,7,4,1,5,6]=>0011100=>3
[2,7,3,8,6,4,1,5]=>0101110=>2
[1,8,3,7,6,4,5,2]=>0101101=>2
[5,2,7,1,4,6,8,3]=>1010001=>6
[4,6,7,5,2,1,8,3]=>0011101=>1
[6,3,1,4,5,7,8,2]=>1100001=>6
[5,3,1,4,6,2,7,8]=>1100100=>7
[5,1,2,4,7,6,8,3]=>1000101=>5
[5,7,4,1,2,6,3,8]=>0110010=>4
[4,8,1,2,6,7,3,5]=>0100010=>4
[4,1,7,8,2,6,3,5]=>1001010=>5
[1,2,8,7,6,5,3,4]=>0011110=>2
[3,1,2,4,6,8,7,5]=>1000011=>5
[3,1,8,4,5,7,6,2]=>1010011=>5
[3,2,8,5,4,7,1,6]=>1011010=>6
[4,2,8,1,5,3,7,6]=>1010101=>4
[4,3,8,5,7,6,1,2]=>1010110=>5
[4,8,2,1,6,3,7,5]=>0110101=>3
[3,8,6,5,2,7,1,4]=>0111010=>3
[3,8,5,6,1,7,4,2]=>0101011=>1
[3,5,7,8,1,2,6,4]=>0001001=>1
[3,7,8,5,2,1,6,4]=>0011101=>1
[3,7,2,8,4,1,6,5]=>0101101=>2
[2,8,1,7,4,6,5,3]=>0101011=>1
[2,8,7,5,1,6,4,3]=>0111011=>2
[2,8,6,7,5,1,4,3]=>0101101=>2
[5,1,3,4,6,7,2,8]=>1000010=>6
[1,3,4,8,7,5,2,6]=>0001110=>2
[8,2,4,1,7,3,5,6]=>1010100=>7
[8,6,1,4,2,3,7,5]=>1101001=>6
[3,6,1,4,2,8,7,5]=>0101011=>1
[1,6,8,4,3,7,2,5]=>0011010=>2
[3,1,4,7,8,5,2,6]=>1000110=>5
[6,1,7,4,3,8,2,5]=>1011010=>6
[1,8,7,4,3,6,2,5]=>0111010=>3
[7,4,1,3,8,2,6,5]=>1100101=>6
[4,8,2,3,1,5,7,6]=>0101001=>3
[4,8,6,2,1,3,7,5]=>0111001=>3
[2,7,4,1,8,3,5,6]=>0110100=>4
[1,7,8,4,2,3,6,5]=>0011001=>2
[4,7,1,3,8,2,6,5]=>0100101=>2
[8,7,1,3,4,2,6,5]=>1100101=>6
[1,7,4,3,6,2,8,5]=>0110101=>3
[3,8,6,4,5,2,1,7]=>0110110=>3
[3,8,4,6,5,2,1,7]=>0101110=>2
[2,4,3,7,5,8,1,6]=>0101010=>4
[1,4,7,3,6,2,8,5]=>0010101=>1
[1,8,3,4,2,6,7,5]=>0101001=>3
[6,4,1,3,7,2,8,5]=>1100101=>6
[8,1,4,3,6,2,7,5]=>1010101=>4
[4,2,3,8,5,7,1,6]=>1001010=>5
[2,8,5,7,3,4,1,6]=>0101010=>4
[5,8,2,6,4,3,1,7]=>0101110=>2
[7,2,5,8,4,3,1,6]=>1001110=>4
[4,2,3,5,8,7,1,6]=>1000110=>5
[8,2,3,5,4,7,1,6]=>1001010=>5
[6,1,8,3,4,2,7,5]=>1010101=>4
[1,8,6,4,2,3,7,5]=>0111001=>3
[3,8,4,5,6,2,1,7]=>0100110=>3
[2,4,3,5,7,8,1,6]=>0100010=>4
[3,8,6,5,4,2,1,7]=>0111110=>2
[6,3,1,4,2,8,7,5]=>1101011=>5
[7,3,8,1,2,6,4,5]=>1010010=>6
[7,1,4,5,3,2,6,8]=>1001100=>6
[1,8,4,2,6,5,3,7]=>0110110=>3
[5,1,4,8,6,3,2,7]=>1001110=>4
[5,3,1,8,4,7,2,6]=>1101010=>7
[4,3,8,1,5,7,2,6]=>1010010=>6
[6,3,1,2,5,7,4,8]=>1100010=>7
[7,1,4,2,6,5,3,8]=>1010110=>5
[3,8,4,1,6,5,2,7]=>0110110=>3
[7,5,3,6,4,8,2,1]=>1101011=>5
[7,3,6,4,5,8,2,1]=>1010011=>5
[8,7,2,4,5,1,6,3]=>1100101=>6
[7,1,5,4,8,6,3,2]=>1010111=>3
[2,7,5,4,8,6,3,1]=>0110111=>1
[2,1,8,7,5,3,6,4]=>1011101=>4
[5,8,3,7,4,1,6,2]=>0101101=>2
[8,1,7,4,2,6,5,3]=>1011011=>3
[5,6,3,1,8,4,7,2]=>0110101=>3
[5,7,1,4,8,6,3,2]=>0100111=>2
[3,5,7,4,8,6,2,1]=>0010111=>1
[2,6,7,4,5,8,3,1]=>0010011=>1
[6,1,7,4,5,8,3,2]=>1010011=>5
[5,3,7,4,8,6,2,1]=>1010111=>3
[8,5,3,6,1,4,7,2]=>1101001=>6
[5,4,3,6,8,2,7,1]=>1100101=>6
[6,5,3,7,4,8,2,1]=>1101011=>5
[7,5,8,4,1,6,3,2]=>1011011=>3
[2,7,8,4,5,1,6,3]=>0010101=>1
[5,7,3,8,4,1,6,2]=>0101101=>2
[5,6,3,8,1,4,7,2]=>0101001=>3
[8,4,1,2,5,6,7,3]=>1100001=>6
[3,7,8,4,1,6,5,2]=>0011011=>1
[6,8,3,1,2,5,7,4]=>0110001=>4
[8,7,1,4,5,2,6,3]=>1100101=>6
[8,7,3,1,5,4,2,6]=>1110110=>7
[3,6,2,1,5,4,8,7]=>0110101=>3
[5,4,2,6,1,3,8,7]=>1101001=>6
[3,2,6,5,1,4,8,7]=>1011001=>5
[2,5,8,1,7,4,3,6]=>0010110=>2
[6,8,2,7,4,3,1,5]=>0101110=>2
[6,8,2,3,7,5,1,4]=>0100110=>3
[7,6,2,5,4,8,1,3]=>1101010=>7
[2,6,5,1,8,4,3,7]=>0110110=>3
[4,2,7,3,1,8,5,6]=>1011010=>6
[4,2,3,7,1,5,8,6]=>1001001=>5
[5,2,7,3,8,6,1,4]=>1010110=>5
[2,1,5,8,4,3,7,6]=>1001101=>4
[5,8,4,2,6,7,1,3]=>0110010=>4
[3,2,4,8,1,5,7,6]=>1001001=>5
[2,4,8,3,1,7,5,6]=>0011010=>2
[4,8,3,2,1,7,6,5]=>0111011=>2
[4,1,3,7,2,6,8,5]=>1001001=>5
[3,4,8,2,1,6,5,7]=>0011010=>2
[6,8,3,7,2,1,5,4]=>0101101=>2
[3,5,8,1,7,2,6,4]=>0010101=>1
[5,1,7,4,6,8,3,2]=>1010011=>5
[7,6,4,8,1,5,3,2]=>1101011=>5
[5,3,7,1,8,2,6,4]=>1010101=>4
[2,7,6,3,8,1,4,5]=>0110100=>4
[2,1,7,6,4,8,3,5]=>1011010=>6
[2,1,5,4,8,7,3,6]=>1010110=>5
[5,4,8,7,2,6,1,3]=>1011010=>6
[2,4,3,8,7,1,5,6]=>0101100=>3
[3,4,1,8,6,2,7,5]=>0101101=>2
[3,8,5,4,2,1,7,6]=>0111101=>2
[4,8,6,5,2,7,1,3]=>0111010=>3
[3,2,8,7,5,4,1,6]=>1011110=>4
[2,8,6,5,4,3,1,7]=>0111110=>2
[5,4,2,6,3,1,8,7]=>1101101=>5
[6,5,2,1,3,4,8,7]=>1110001=>6
[8,5,2,7,3,1,4,6]=>1101100=>7
[7,3,6,5,2,8,4,1]=>1011011=>3
[7,6,2,3,4,8,5,1]=>1100011=>5
[8,7,5,3,1,4,2,6]=>1111010=>7
[7,1,5,3,8,4,6,2]=>1010101=>4
[6,7,2,3,5,8,4,1]=>0100011=>3
[3,7,6,4,2,8,5,1]=>0111011=>2
[2,1,7,6,4,8,5,3]=>1011011=>3
[2,1,8,7,4,3,5,6]=>1011100=>5
[5,8,3,7,2,1,4,6]=>0101100=>3
[3,8,7,4,2,1,5,6]=>0111100=>3
[7,8,2,3,5,1,4,6]=>0100100=>5
[2,8,6,3,1,4,7,5]=>0111001=>3
[8,1,6,3,2,4,5,7]=>1011000=>6
[5,7,1,4,8,3,6,2]=>0100101=>2
[6,1,7,5,4,8,3,2]=>1011011=>3
[6,3,7,5,8,4,2,1]=>1010111=>3
[7,6,1,5,8,3,4,2]=>1100101=>6
[8,6,7,5,1,3,2,4]=>1011010=>6
[8,5,2,6,1,7,3,4]=>1101010=>7
[5,4,2,6,8,3,7,1]=>1100101=>6
[6,5,2,8,1,4,3,7]=>1101010=>7
[7,4,2,8,1,3,6,5]=>1101001=>6
[2,7,8,4,5,1,3,6]=>0010100=>3
[5,7,3,8,4,1,2,6]=>0101100=>3
[2,4,8,1,5,6,3,7]=>0010010=>3
[3,4,8,1,5,2,7,6]=>0010101=>1
[3,6,8,4,1,2,7,5]=>0011001=>2
[4,8,1,2,5,3,6,7]=>0100100=>5
[8,1,2,4,3,5,6,7]=>1001000=>7
[2,3,4,6,5,7,8,9,10,1]=>000100001=>2
[2,3,5,6,4,7,8,9,1]=>00010001=>2
[2,3,6,4,5,7,8,9,1]=>00100001=>3
[9,1,2,4,5,3,6,7,8]=>10001000=>8
[10,1,2,3,5,4,6,7,8,9]=>100010000=>9
[5,8,7,4,6,3,2,1]=>0110111=>1
[4,8,7,6,3,5,2,1]=>0111011=>2
[3,8,7,6,5,2,4,1]=>0111101=>2
[7,9,6,8,5,4,3,2,1]=>01011111=>1
[5,8,4,7,6,3,2,1]=>0101111=>1
[6,9,8,5,7,4,3,2,1]=>01101111=>1
[6,8,5,4,7,3,2,1]=>0110111=>1
[5,9,8,7,4,6,3,2,1]=>01110111=>2
[3,8,7,6,2,5,4,1]=>0111011=>2
[4,9,8,7,6,3,5,2,1]=>01111011=>2
[4,8,7,6,3,2,5,1]=>0111101=>2
[3,9,8,7,6,5,2,4,1]=>01111101=>2
[3,8,7,6,5,2,1,4]=>0111110=>2
[8,6,9,7,4,5,2,3,1]=>10110101=>5
[8,6,9,4,7,5,2,3,1]=>10101101=>4
[8,6,9,4,7,2,5,3,1]=>10101011=>4
[8,6,9,4,7,3,5,1,2]=>10101010=>8
[8,6,9,5,7,3,4,1,2]=>10101010=>8
[8,7,9,5,6,3,4,1,2]=>10101010=>8
[9,7,10,8,5,6,3,4,1,2]=>101101010=>8
[8,6,4,9,7,5,2,3,1]=>11011101=>6
[9,7,10,5,8,6,3,4,1,2]=>101011010=>7
[8,6,9,4,2,7,5,3,1]=>10110111=>3
[9,7,10,5,8,3,6,4,1,2]=>101010110=>6
[8,6,9,4,7,2,1,5,3]=>10101101=>4
[7,5,8,4,6,3,1,2]=>1010110=>5
[8,6,9,4,7,3,5,2,1]=>10101011=>4
[9,7,10,5,8,3,6,2,4,1]=>101010101=>5
[8,6,9,5,7,2,4,1,3]=>10101010=>8
[9,7,10,5,8,4,6,2,3,1]=>101010101=>5
[7,6,8,2,5,1,4,3]=>1010101=>4
[8,7,9,4,6,3,5,1,2]=>10101010=>8
[9,7,10,6,8,4,5,2,3,1]=>101010101=>5
[9,6,8,5,7,3,4,1,2]=>10101010=>8
[9,8,10,6,7,4,5,2,3,1]=>101010101=>5
[3,5,2,4,7,6,1,8]=>0100110=>3
[3,5,4,7,2,6,1,8]=>0101010=>4
[3,5,4,7,6,1,2,8]=>0101100=>3
[3,5,4,7,6,1,8,2]=>0101101=>2
[3,5,7,4,6,1,8,2]=>0010101=>1
[3,5,7,4,6,1,2,8]=>0010100=>3
[3,5,7,4,6,2,1,8]=>0010110=>2
[3,2,5,7,4,6,1,8]=>1001010=>5
[3,5,2,7,6,4,1,8]=>0101110=>2
[3,5,7,2,6,4,1,8]=>0010110=>2
[5,3,7,6,2,4,1,8]=>1011010=>6
[5,3,7,6,1,2,8,4]=>1011001=>5
[5,3,7,6,1,4,2,8]=>1011010=>6
[5,3,7,6,4,1,2,8]=>1011100=>5
[3,5,7,2,6,1,4,8]=>0010100=>3
[3,5,2,7,6,1,4,8]=>0101100=>3
[5,3,7,6,4,1,8,2]=>1011101=>4
[3,7,5,4,1,8,2,6]=>0111010=>3
[3,7,5,4,1,8,6,2]=>0111011=>2
[3,7,5,1,4,8,6,2]=>0110011=>2
[3,7,5,1,4,8,2,6]=>0110010=>4
[3,5,7,1,2,6,8,4]=>0010001=>2
[3,5,7,2,1,6,8,4]=>0011001=>2
[3,5,2,7,1,6,4,8]=>0101010=>4
[3,5,7,2,1,6,4,8]=>0011010=>2
[5,3,7,1,6,2,4,8]=>1010100=>7
[3,5,7,1,4,6,8,2]=>0010001=>2
[3,5,7,1,4,6,2,8]=>0010010=>3
[3,5,7,1,4,2,6,8]=>0010100=>3
[3,5,7,2,1,4,6,8]=>0011000=>4
[3,5,2,7,1,4,6,8]=>0101000=>5
[3,2,5,7,4,1,6,8]=>1001100=>6
[3,5,2,7,4,1,6,8]=>0101100=>3
[3,5,7,4,2,1,6,8]=>0011100=>3
[3,5,7,4,1,2,6,8]=>0011000=>4
[3,5,4,7,1,6,8,2]=>0101001=>3
[3,5,4,7,1,2,6,8]=>0101000=>5
[3,5,4,7,2,1,6,8]=>0101100=>3
[3,5,4,2,7,1,6,8]=>0110100=>4
[3,2,5,4,7,1,6,8]=>1010100=>7
[3,5,4,7,2,1,8,6]=>0101101=>2
[3,5,4,7,1,2,8,6]=>0101001=>3
[5,7,6,3,1,8,4,2]=>0111011=>2
[5,7,6,3,1,8,2,4]=>0111010=>3
[3,5,7,4,1,2,8,6]=>0011001=>2
[3,5,7,4,2,1,8,6]=>0011101=>1
[3,2,5,7,4,1,8,6]=>1001101=>4
[3,2,5,7,1,4,8,6]=>1001001=>5
[3,5,2,7,1,4,8,6]=>0101001=>3
[3,5,7,2,1,4,8,6]=>0011001=>2
[3,5,7,1,4,2,8,6]=>0010101=>1
[3,7,5,2,1,8,6,4]=>0111011=>2
[3,7,2,5,1,8,6,4]=>0101011=>1
[3,2,7,5,1,8,6,4]=>1011011=>3
[3,2,7,5,1,8,4,6]=>1011010=>6
[3,7,2,5,1,8,4,6]=>0101010=>4
[3,7,5,2,1,8,4,6]=>0111010=>3
[6,1,2,5,7,4,8,3]=>1000101=>5
[6,3,2,7,4,1,8,5]=>1101101=>5
[2,1,7,5,8,4,6,3]=>1010101=>4
[2,7,3,6,8,4,1,5]=>0100110=>3
[2,1,8,3,4,7,5,6]=>1010010=>6
[5,1,7,2,4,8,3,6]=>1010010=>6
[3,4,2,6,7,1,8,5]=>0100101=>2
[3,5,8,7,2,1,6,4]=>0011101=>1
[1,3,4,5,6,7,9,2,8]=>00000010=>2
[2,3,4,5,6,7,1,9,8]=>00000101=>1
[2,1,4,5,6,7,8,9,3]=>10000001=>7
[3,1,4,5,6,7,8,2,9]=>10000010=>7
[5,8,3,4,1,7,6,2]=>0101011=>1
[5,8,7,2,4,1,6,3]=>0110101=>3
[3,8,6,4,1,7,5,2]=>0111011=>2
[4,3,5,6,8,1,7,2]=>1000101=>5
[3,7,6,4,1,8,5,2]=>0111011=>2
[3,7,4,1,8,6,5,2]=>0110111=>1
[3,8,4,1,7,6,5,2]=>0110111=>1
[3,2,7,6,1,5,4,8]=>1011010=>6
[3,2,8,7,6,1,5,4]=>1011101=>4
[5,7,8,2,4,1,6,3]=>0010101=>1
[4,2,5,8,1,6,7,3]=>1001001=>5
[4,2,5,8,1,7,3,6]=>1001010=>5
[5,8,2,4,1,6,3,7]=>0101010=>4
[8,4,2,6,5,1,3,7]=>1101100=>7
[3,2,6,8,1,5,4,7]=>1001010=>5
[8,3,2,5,6,1,4,7]=>1100100=>7
[3,2,8,6,7,1,5,4]=>1010101=>4
[3,2,6,8,7,1,5,4]=>1001101=>4
[3,2,6,7,1,5,4,8]=>1001010=>5
[8,7,3,2,5,6,1,4]=>1110010=>7
[7,2,8,1,5,3,6,4]=>1010101=>4
[8,4,2,7,5,1,3,6]=>1101100=>7
[7,4,2,8,5,1,3,6]=>1101100=>7
[7,2,4,1,8,3,6,5]=>1010101=>4
[3,2,8,5,7,1,4,6]=>1010100=>7
[2,6,5,7,1,8,3,4]=>0101010=>4
[2,5,1,8,7,4,3,6]=>0101110=>2
[8,1,4,6,3,5,2,7]=>1001010=>5
[8,3,5,4,1,6,2,7]=>1011010=>6
[8,6,3,4,1,5,2,7]=>1101010=>7
[5,4,7,6,8,2,3,1]=>1010101=>4
[4,1,8,2,3,7,6,5]=>1010011=>5
[2,1,8,5,3,4,7,6]=>1011001=>5
[5,2,4,6,8,7,3,1]=>1000111=>4
[1,6,8,3,4,5,7,2]=>0010001=>2
[5,7,4,8,6,1,3,2]=>0101101=>2
[5,4,2,6,7,8,1,3]=>1100010=>7
[6,4,2,7,3,5,8,1]=>1101001=>6
[7,4,1,8,3,5,6,2]=>1101001=>6
[6,5,4,8,7,3,1,2]=>1101110=>6
[8,7,4,2,1,3,6,5]=>1111001=>6
[8,7,1,3,2,5,6,4]=>1101001=>6
[6,8,2,3,1,7,5,4]=>0101011=>1
[7,4,3,2,6,8,5,1]=>1110011=>5
[2,7,4,3,8,5,6,1]=>0110101=>3
[8,3,7,2,1,5,6,4]=>1011001=>5
[5,7,8,2,4,3,1,6]=>0010110=>2
[8,4,7,3,2,6,1,5]=>1011010=>6
[8,3,1,6,7,4,2,5]=>1100110=>6
[3,2,5,7,4,8,1,6]=>1001010=>5
[8,2,7,3,4,1,5,6]=>1010100=>7
[7,1,6,3,5,8,2,4]=>1010010=>6
[2,8,5,6,7,1,4,3]=>0100101=>2
[1,5,2,7,8,6,4,3]=>0100111=>2
[2,6,8,5,1,4,7,3]=>0011001=>2
[1,4,2,8,6,5,7,3]=>0101101=>2
[3,5,1,6,8,7,2,4]=>0100110=>3
[5,7,6,2,1,3,8,4]=>0111001=>3
[2,5,8,7,4,1,6,3]=>0011101=>1
[4,1,7,5,2,6,8,3]=>1011001=>5
[7,6,2,4,5,1,8,3]=>1100101=>6
[7,3,4,2,5,8,6,1]=>1010011=>5
[8,7,4,2,5,1,6,3]=>1110101=>6
[8,1,4,5,2,6,7,3]=>1001001=>5
[5,2,4,8,6,7,1,3]=>1001010=>5
[8,5,6,2,1,3,7,4]=>1011001=>5
[4,2,1,5,6,7,8,3]=>1100001=>6
[3,4,6,5,1,7,8,2]=>0011001=>2
[7,3,5,2,4,6,1,8]=>1010010=>6
[5,3,7,2,4,6,1,8]=>1010010=>6
[3,7,5,2,4,6,1,8]=>0110010=>4
[5,7,3,2,4,6,1,8]=>0110010=>4
[1,5,3,2,4,7,6,8]=>0110010=>4
[1,5,3,2,7,4,6,8]=>0110100=>4
[5,7,3,2,1,4,6,8]=>0111000=>4
[5,7,3,2,4,1,6,8]=>0110100=>4
[3,7,2,5,4,1,6,8]=>0101100=>3
[5,1,3,2,4,7,6,8]=>1010010=>6
[5,1,3,2,7,4,6,8]=>1010100=>7
[7,1,3,2,5,4,6,8]=>1010100=>7
[1,7,3,2,5,4,6,8]=>0110100=>4
[7,1,3,5,2,4,6,8]=>1001000=>7
[5,1,3,7,2,4,6,8]=>1001000=>7
[3,2,7,5,1,4,6,8]=>1011000=>6
[3,7,5,1,2,4,6,8]=>0110000=>5
[5,7,3,1,2,4,6,8]=>0110000=>5
[1,5,3,7,2,4,6,8]=>0101000=>5
[5,3,2,7,4,1,6,8]=>1101100=>7
[5,3,2,4,7,1,6,8]=>1100100=>7
[5,3,2,1,4,7,6,8]=>1110010=>7
[5,3,2,1,7,4,6,8]=>1110100=>7
[1,3,2,7,5,4,6,8]=>0101100=>3
[1,3,7,2,5,4,6,8]=>0010100=>3
[7,3,1,2,5,4,6,8]=>1100100=>7
[5,3,1,2,7,4,6,8]=>1100100=>7
[5,3,1,2,4,7,6,8]=>1100010=>7
[3,2,5,1,4,7,6,8]=>1010010=>6
[7,3,1,5,2,4,6,8]=>1101000=>7
[1,3,7,5,2,4,6,8]=>0011000=>4
[7,5,1,3,2,4,6,8]=>1101000=>7
[5,7,1,3,2,4,6,8]=>0101000=>5
[3,7,1,5,2,4,6,8]=>0101000=>5
[3,7,1,2,5,4,6,8]=>0100100=>5
[3,7,2,1,5,4,6,8]=>0110100=>4
[3,2,1,7,5,4,6,8]=>1101100=>7
[3,1,2,7,5,4,6,8]=>1001100=>6
[3,1,7,2,5,4,6,8]=>1010100=>7
[3,1,7,5,2,4,6,8]=>1011000=>6
[7,1,5,3,2,4,6,8]=>1011000=>6
[1,7,5,3,2,4,6,8]=>0111000=>4
[1,2,3,4,5,7,9,6,8]=>00000010=>2
[1,2,3,4,6,9,5,7,8]=>00000100=>3
[1,2,3,5,9,4,6,7,8]=>00001000=>4
[1,2,4,9,3,5,6,7,8]=>00010000=>5
[1,3,9,2,4,5,6,7,8]=>00100000=>6
[1,9,8,7,6,2,5,4,3]=>01111011=>2
[2,9,8,7,1,6,5,4,3]=>01110111=>2
[1,9,8,2,7,6,5,4,3]=>01101111=>1
[1,9,2,8,7,6,5,4,3]=>01011111=>1
[3,9,8,7,6,5,2,1,4]=>01111110=>2
[1,10,9,8,7,6,5,2,4,3]=>011111101=>2
[4,9,8,7,6,1,2,5,3]=>01111001=>3
[1,10,9,8,7,6,2,5,4,3]=>011111011=>2
[1,8,7,4,2,6,5,3]=>0111011=>2
[5,9,8,7,1,2,6,4,3]=>01110011=>3
[2,10,9,8,7,1,6,5,4,3]=>011110111=>2
[2,8,5,1,7,6,4,3]=>0110111=>1
[6,9,8,2,1,7,5,4,3]=>01110111=>2
[1,10,9,8,2,7,6,5,4,3]=>011101111=>1
[6,8,5,1,2,7,4,3]=>0110011=>2
[7,9,1,2,8,6,5,4,3]=>01001111=>2
[1,10,9,2,8,7,6,5,4,3]=>011011111=>1
[8,1,2,9,7,6,5,4,3]=>10011111=>3
[2,10,1,9,8,7,6,5,4,3]=>010111111=>1
[3,10,9,8,7,6,5,2,1,4]=>011111110=>2
[1,9,8,7,6,3,2,5,4]=>01111101=>2
[4,10,9,8,7,6,1,2,5,3]=>011111001=>3
[1,9,8,7,4,2,6,5,3]=>01111011=>2
[4,9,8,7,6,3,2,1,5]=>01111110=>2
[5,10,9,8,7,1,2,6,4,3]=>011110011=>3
[2,8,1,4,7,6,5,3]=>0100111=>2
[2,9,8,5,1,7,6,4,3]=>01110111=>2
[5,9,8,7,4,1,2,6,3]=>01111001=>3
[6,10,9,8,2,1,7,5,4,3]=>011110111=>2
[1,9,6,2,8,7,5,4,3]=>01101111=>1
[1,8,7,4,3,2,6,5]=>0111101=>2
[6,9,8,5,1,2,7,4,3]=>01110011=>3
[7,10,9,1,2,8,6,5,4,3]=>011001111=>2
[1,7,2,9,8,6,5,4,3]=>01011111=>1
[1,8,5,4,2,7,6,3]=>0111011=>2
[7,9,6,2,1,8,5,4,3]=>01110111=>2
[8,10,1,2,9,7,6,5,4,3]=>010011111=>2
[8,7,1,2,9,6,5,4,3]=>11001111=>4
[9,2,1,10,8,7,6,5,4,3]=>110111111=>3
[7,5,3,4,2,8,1,6]=>1101010=>7
[8,5,3,6,2,4,7,1]=>1101001=>6
[8,5,6,3,7,4,2,1]=>1010111=>3
[8,5,6,2,7,4,3,1]=>1010111=>3
[8,7,6,3,4,1,5,2]=>1110101=>6
[1,7,2,3,6,8,5,4]=>0100011=>3
[3,5,6,4,8,2,7,1]=>0010101=>1
[3,5,1,4,8,2,7,6]=>0100101=>2
[1,7,5,4,8,2,6,3]=>0110101=>3
[3,7,5,1,6,4,8,2]=>0110101=>3
[2,7,5,4,8,1,3,6]=>0110100=>4
[2,7,5,4,8,6,1,3]=>0110110=>3
[1,7,5,4,8,6,3,2]=>0110111=>1
[2,5,1,4,8,7,3,6]=>0100110=>3
[3,6,4,2,8,7,1,5]=>0110110=>3
[3,5,2,4,8,1,6,7]=>0100100=>5
[3,5,6,4,8,1,2,7]=>0010100=>3
[1,5,6,4,8,7,2,3]=>0010110=>2
[3,6,4,1,8,7,2,5]=>0110110=>3
[3,6,4,5,8,7,2,1]=>0100111=>2
[1,6,4,3,8,5,2,7]=>0110110=>3
[7,1,3,4,5,8,2,6]=>1000010=>6
[7,6,1,4,5,3,8,2]=>1100101=>6
[7,6,1,3,5,4,8,2]=>1100101=>6
[7,1,3,2,5,8,4,6]=>1010010=>6
[1,6,4,2,8,5,3,7]=>0110110=>3
[7,6,5,8,2,4,3,1]=>1101011=>5
[7,6,5,8,3,1,4,2]=>1101101=>5
[2,6,4,3,8,1,7,5]=>0110101=>3
[2,6,4,3,8,5,7,1]=>0110101=>3
[7,2,3,1,5,8,6,4]=>1010011=>5
[7,1,5,6,3,8,4,2]=>1001011=>4
[7,3,6,5,1,4,8,2]=>1011001=>5
[7,2,6,5,3,8,1,4]=>1011010=>6
[7,2,3,1,4,8,6,5]=>1010011=>5
[7,2,3,5,4,8,6,1]=>1001011=>4
[2,6,4,5,8,1,7,3]=>0100101=>2
[1,5,6,4,8,3,7,2]=>0010101=>1
[2,5,6,4,8,3,1,7]=>0010110=>2
[3,5,6,1,4,7,8,2]=>0010001=>2
[7,6,1,3,4,5,8,2]=>1100001=>6
[7,1,3,2,4,8,5,6]=>1010010=>6
[7,6,1,5,3,4,8,2]=>1101001=>6
[7,6,1,5,4,3,8,2]=>1101101=>5
[1,6,4,5,8,3,2,7]=>0100110=>3
[7,6,5,8,1,3,2,4]=>1101010=>7
[3,4,6,8,7,2,1,5]=>0001110=>2
[3,5,6,8,2,1,7,4]=>0001101=>1
[4,2,1,5,3,7,8,6]=>1101001=>6
[4,2,5,6,3,1,8,7]=>1001101=>4
[3,5,6,8,1,7,2,4]=>0001010=>2
[4,1,5,6,3,2,8,7]=>1001101=>4
[4,5,3,1,7,2,8,6]=>0110101=>3
[4,1,3,5,2,7,8,6]=>1001001=>5
[2,5,4,7,3,8,6,1]=>0101011=>1
[3,5,7,1,8,4,2,6]=>0010110=>2
[4,1,5,3,2,7,8,6]=>1011001=>5
[4,5,3,7,1,2,8,6]=>0101001=>3
[4,3,6,1,2,7,5,8]=>1010010=>6
[5,1,3,2,4,6,7,8]=>1010000=>7
[3,6,1,7,4,5,2,8]=>0101010=>4
[5,1,3,4,2,6,7,8]=>1001000=>7
[5,3,1,4,2,6,7,8]=>1101000=>7
[4,5,2,3,7,1,8,6]=>0100101=>2
[4,2,6,1,3,7,5,8]=>1010010=>6
[4,6,2,1,3,7,5,8]=>0110010=>4
[3,6,2,1,7,4,8,5]=>0110101=>3
[3,1,4,7,6,5,2,8]=>1001110=>4
[3,6,2,7,1,5,8,4]=>0101001=>3
[4,6,2,7,1,3,5,8]=>0101000=>5
[3,5,7,1,8,2,6,4]=>0010101=>1
[5,1,4,2,3,6,7,8]=>1010000=>7
[3,6,1,7,2,5,8,4]=>0101001=>3
[2,6,5,3,4,7,8,1]=>0110001=>4
[3,6,1,7,5,4,2,8]=>0101110=>2
[5,1,4,3,2,6,7,8]=>1011000=>6
[5,4,1,3,2,6,7,8]=>1101000=>7
[6,4,2,5,3,8,1,7]=>1101010=>7
[4,6,2,3,5,1,8,7]=>0100101=>2
[6,2,4,5,1,8,3,7]=>1001010=>5
[8,2,6,7,1,4,5,3]=>1001001=>5
[8,2,6,7,4,1,5,3]=>1001101=>4
[4,6,2,3,5,8,1,7]=>0100010=>4
[2,6,4,1,5,8,3,7]=>0110010=>4
[2,8,1,6,7,4,5,3]=>0100101=>2
[6,8,4,5,7,2,3,1]=>0100101=>2
[2,8,6,1,4,7,5,3]=>0110011=>2
[2,8,1,6,4,7,5,3]=>0101011=>1
[2,6,1,4,8,5,3,7]=>0100110=>3
[6,4,5,2,8,3,1,7]=>1010110=>5
[4,2,3,6,1,8,5,7]=>1001010=>5
[4,2,3,1,6,8,5,7]=>1010010=>6
[4,2,3,8,6,1,7,5]=>1001101=>4
[6,4,5,8,2,3,7,1]=>1001001=>5
[8,6,7,2,4,5,1,3]=>1010010=>6
[6,4,8,5,2,3,7,1]=>1011001=>5
[4,2,8,3,1,6,7,5]=>1011001=>5
[2,4,8,1,3,6,7,5]=>0010001=>2
[2,4,1,8,3,6,7,5]=>0101001=>3
[2,1,4,8,6,3,7,5]=>1001101=>4
[6,4,8,2,5,3,7,1]=>1010101=>4
[8,6,2,4,7,5,1,3]=>1100110=>6
[4,6,8,2,3,5,7,1]=>0010001=>2
[2,6,8,4,1,5,7,3]=>0011001=>2
[2,6,8,1,4,5,7,3]=>0010001=>2
[2,1,6,8,4,5,7,3]=>1001001=>5
[2,8,1,4,6,7,3,5]=>0100010=>4
[4,8,6,2,3,7,5,1]=>0110011=>2
[8,4,2,6,7,3,1,5]=>1100110=>6
[7,6,4,5,1,3,8,2]=>1101001=>6
[1,6,7,5,3,4,8,2]=>0011001=>2
[7,6,2,3,8,4,1,5]=>1100110=>6
[1,6,7,5,8,2,3,4]=>0010100=>3
[6,2,5,8,3,4,7,1]=>1001001=>5
[6,2,3,8,7,4,1,5]=>1001110=>4
[2,4,7,3,5,8,6,1]=>0010011=>1
[2,5,3,7,1,8,4,6]=>0101010=>4
[5,2,8,3,1,4,6,7]=>1011000=>6
[4,8,2,3,6,5,7,1]=>0100101=>2
[5,8,1,3,6,4,7,2]=>0100101=>2
[5,8,1,4,3,6,2,7]=>0101010=>4
[5,8,4,1,3,7,6,2]=>0110011=>2
[6,4,5,3,8,1,7,2]=>1010101=>4
[4,6,5,3,7,1,2,8]=>0110100=>4
[4,5,1,3,6,2,8,7]=>0100101=>2
[4,2,6,5,1,7,3,8]=>1011010=>6
[4,3,5,7,2,1,6,8]=>1001100=>6
[3,4,7,6,8,1,2,5]=>0010100=>3
[3,4,6,2,5,8,7,1]=>0010011=>1
[3,5,2,4,6,1,8,7]=>0100101=>2
[4,2,5,1,6,8,3,7]=>1010010=>6
[1,8,2,3,6,5,7,4]=>0100101=>2
[4,2,8,3,5,7,1,6]=>1010010=>6
[4,3,8,6,5,7,1,2]=>1011010=>6
[1,3,7,2,6,5,8,4]=>0010101=>1
[1,3,6,4,2,5,8,7]=>0011001=>2
[1,5,4,7,3,6,8,2]=>0101001=>3
[5,2,3,8,4,1,7,6]=>1001101=>4
[7,5,3,4,8,2,1,6]=>1100110=>6
[7,2,8,3,4,1,5,6]=>1010100=>7
[7,4,3,8,5,2,6,1]=>1101101=>5
[4,6,2,7,3,1,5,8]=>0101100=>3
[7,6,3,8,2,4,5,1]=>1101001=>6
[7,2,8,5,1,3,4,6]=>1011000=>6
[1,5,3,7,6,8,4,2]=>0101011=>1
[1,6,3,7,8,2,4,5]=>0100100=>5
[1,4,3,7,8,5,2,6]=>0100110=>3
[4,2,6,5,7,8,3,1]=>1010011=>5
[4,2,6,7,5,8,1,3]=>1001010=>5
[3,2,4,7,8,5,1,6]=>1000110=>5
[3,2,6,7,8,1,4,5]=>1000100=>6
[5,1,8,3,6,4,7,2]=>1010101=>4
[3,6,8,5,7,2,1,4]=>0010110=>2
[5,1,3,8,7,6,4,2]=>1001111=>3
[3,8,5,6,1,7,2,4]=>0101010=>4
[3,4,8,1,7,6,2,5]=>0010110=>2
[4,7,6,8,5,1,3,2]=>0101101=>2
[6,7,4,8,5,1,3,2]=>0101101=>2
[6,4,8,3,1,7,5,2]=>1011011=>3
[3,6,5,8,7,1,4,2]=>0101101=>2
[5,7,4,8,2,6,3,1]=>0101011=>1
[5,6,4,8,2,7,3,1]=>0101011=>1
[6,5,3,8,2,7,4,1]=>1101011=>5
[6,4,8,1,3,7,5,2]=>1010011=>5
[7,6,3,1,4,2,5,8]=>1110100=>7
[1,5,4,3,7,8,2,6]=>0110010=>4
[7,8,4,2,5,3,1,6]=>0110110=>3
[4,2,7,8,5,3,1,6]=>1001110=>4
[4,2,5,3,1,7,8,6]=>1011001=>5
[4,2,8,7,6,3,1,5]=>1011110=>4
[4,2,7,6,3,1,5,8]=>1011100=>5
[6,3,1,7,5,2,4,8]=>1101100=>7
[6,3,1,8,7,5,2,4]=>1101110=>6
[8,6,3,1,7,5,2,4]=>1110110=>7
[4,2,7,6,3,1,8,5]=>1011101=>4
[7,6,3,1,8,4,2,5]=>1110110=>7
[7,6,4,2,1,8,3,5]=>1111010=>7
[1,8,2,7,6,4,3,5]=>0101110=>2
[8,3,5,7,6,4,2,1]=>1001111=>3
[8,4,2,5,7,6,3,1]=>1100111=>4
[7,5,2,4,8,6,3,1]=>1100111=>4
[8,7,5,2,4,6,3,1]=>1110011=>5
[7,5,2,4,6,3,1,8]=>1100110=>6
[5,2,8,6,3,7,4,1]=>1011011=>3
[8,4,7,5,2,6,3,1]=>1011011=>3
[8,3,6,4,7,5,2,1]=>1010111=>3
[1,8,2,7,5,3,6,4]=>0101101=>2
[7,5,2,1,8,3,6,4]=>1110101=>6
[7,5,2,6,3,1,8,4]=>1101101=>5
[5,2,7,4,1,8,6,3]=>1011011=>3
[5,2,8,7,4,1,6,3]=>1011101=>4
[8,7,4,1,5,2,6,3]=>1110101=>6
[7,4,1,5,2,8,6,3]=>1101011=>5
[7,6,3,1,4,2,8,5]=>1110101=>6
[7,5,2,8,6,3,1,4]=>1101110=>6
[8,7,5,2,6,3,1,4]=>1110110=>7
[7,5,2,1,3,6,4,8]=>1110010=>7
[8,7,5,2,1,3,6,4]=>1111001=>6
[7,5,2,1,3,8,6,4]=>1110011=>5
[1,3,7,6,5,8,2,4]=>0011010=>2
[8,6,4,7,5,2,1,3]=>1101110=>6
[6,4,8,7,5,2,1,3]=>1011110=>4
[6,4,7,5,2,1,3,8]=>1011100=>5
[6,3,1,4,7,5,2,8]=>1100110=>6
[6,3,1,4,8,7,5,2]=>1100111=>4
[8,6,3,1,4,7,5,2]=>1110011=>5
[8,5,7,6,3,1,4,2]=>1011101=>4
[1,8,2,5,7,6,4,3]=>0100111=>2
[1,8,2,6,4,7,5,3]=>0101011=>1
[7,5,2,1,6,4,8,3]=>1110101=>6
[6,3,8,7,4,1,5,2]=>1011101=>4
[6,3,7,4,1,5,2,8]=>1011010=>6
[7,4,1,6,3,5,2,8]=>1101010=>7
[7,4,1,8,6,3,5,2]=>1101101=>5
[8,4,6,3,1,7,5,2]=>1011011=>3
[6,4,7,5,2,1,8,3]=>1011101=>4
[1,6,4,7,5,3,8,2]=>0101101=>2
[8,6,3,5,2,7,4,1]=>1101011=>5
[6,3,5,2,8,7,4,1]=>1010111=>3
[6,3,5,2,7,4,1,8]=>1010110=>5
[1,4,7,3,5,2,6,8]=>0010100=>3
[5,7,4,2,6,3,1,8]=>0110110=>3
[4,2,6,3,5,7,1,8]=>1010010=>6
[2,4,5,8,1,6,7,3]=>0001001=>1
[6,1,3,7,4,2,5,8]=>1001100=>6
[3,2,6,8,1,5,7,4]=>1001001=>5
[8,2,6,1,5,4,7,3]=>1010101=>4
[8,6,2,7,1,5,4,3]=>1101011=>5
[7,6,8,3,1,5,4,2]=>1011011=>3
[6,3,7,2,8,1,5,4]=>1010101=>4
[7,5,2,8,6,1,4,3]=>1101101=>5
[2,7,3,8,1,5,6,4]=>0101001=>3
[1,6,8,5,2,4,3,7]=>0011010=>2
[4,5,7,2,8,1,6,3]=>0010101=>1
[8,4,6,5,3,1,7,2]=>1011101=>4
[4,5,3,1,7,2,6,8]=>0110100=>4
[7,8,1,2,4,3,6,5]=>0100101=>2
[8,4,1,6,2,3,7,5]=>1101001=>6
[4,1,3,6,5,7,8,2]=>1001001=>5
[6,1,3,4,2,8,5,7]=>1001010=>5
[8,1,4,2,5,7,6,3]=>1010011=>5
[8,1,4,3,5,7,6,2]=>1010011=>5
[5,2,4,1,3,7,8,6]=>1010001=>6
[2,6,5,3,1,7,8,4]=>0111001=>3
[8,3,2,1,5,7,6,4]=>1110011=>5
[1,7,4,3,6,8,2,5]=>0110010=>4
[2,7,6,3,1,8,4,5]=>0111010=>3
[2,8,4,6,3,7,5,1]=>0101011=>1
[8,7,1,3,6,5,4,2]=>1100111=>4
[1,8,5,7,4,2,6,3]=>0101101=>2
[3,8,6,5,7,1,4,2]=>0110101=>3
[4,8,6,2,7,1,5,3]=>0110101=>3
[4,7,5,3,8,2,1,6]=>0110110=>3
[1,6,5,8,3,4,2,7]=>0101010=>4
[6,1,5,3,8,4,2,7]=>1010110=>5
[8,1,5,4,7,2,6,3]=>1010101=>4
[2,1,4,7,5,8,3,6]=>1001010=>5
[6,3,5,8,7,4,1,2]=>1001110=>4
[4,7,2,8,5,6,3,1]=>0101011=>1
[1,4,8,7,3,5,6,2]=>0011001=>2
[8,1,7,6,3,5,4,2]=>1011011=>3
[3,6,8,5,7,4,1,2]=>0010110=>2
[4,7,6,8,5,3,1,2]=>0101110=>2
[5,7,2,8,6,4,1,3]=>0101110=>2
[3,8,7,5,6,4,2,1]=>0110111=>1
[2,8,7,6,4,5,3,1]=>0111011=>2
[1,8,7,6,5,3,4,2]=>0111101=>2
[4,6,7,2,5,3,1,8]=>0010110=>2
[2,4,7,8,1,6,5,3]=>0001011=>1
[4,2,6,8,7,1,5,3]=>1001101=>4
[5,1,8,4,2,7,6,3]=>1011011=>3
[6,8,3,7,1,5,4,2]=>0101011=>1
[2,7,3,8,1,6,5,4]=>0101011=>1
[2,6,8,4,1,7,5,3]=>0011011=>1
[4,6,7,1,2,8,5,3]=>0010011=>1
[3,6,1,8,2,7,5,4]=>0101011=>1
[5,7,4,1,2,8,6,3]=>0110011=>2
[6,3,7,1,2,8,5,4]=>1010011=>5
[8,1,5,6,3,2,4,7]=>1001100=>6
[1,7,8,3,5,2,4,6]=>0010100=>3
[8,5,3,7,2,4,6,1]=>1101001=>6
[1,7,2,4,8,5,3,6]=>0100110=>3
[1,7,8,5,4,3,2,6]=>0011110=>2
[2,6,8,7,4,3,5,1]=>0011101=>1
[1,2,6,7,8,4,3,5]=>0000110=>2
[2,7,5,8,4,1,3,6]=>0101100=>3
[2,1,7,8,4,5,3,6]=>1001010=>5
[3,7,8,2,1,5,4,6]=>0011010=>2
[8,5,1,4,7,3,6,2]=>1100101=>6
[8,4,7,5,3,6,1,2]=>1011010=>6
[8,1,4,6,7,3,5,2]=>1000101=>5
[3,5,8,6,7,4,1,2]=>0010110=>2
[3,6,8,4,7,1,5,2]=>0010101=>1
[4,7,1,3,6,8,2,5]=>0100010=>4
[3,7,6,4,8,1,2,5]=>0110100=>4
[3,1,7,5,6,8,2,4]=>1010010=>6
[2,3,6,5,7,1,8,4]=>0010101=>1
[3,7,5,4,2,1,8,6]=>0111101=>2
[1,3,6,7,4,2,8,5]=>0001101=>1
[3,6,4,8,2,7,5,1]=>0101011=>1
[1,4,6,3,2,7,8,5]=>0011001=>2
[8,7,1,5,6,3,2,4]=>1100110=>6
[8,1,6,7,5,3,2,4]=>1001110=>4
[1,7,8,6,5,3,2,4]=>0011110=>2
[8,7,2,4,6,5,3,1]=>1100111=>4
[1,7,8,2,6,4,5,3]=>0010101=>1
[8,7,2,5,4,6,1,3]=>1101010=>7
[8,7,2,5,3,1,6,4]=>1101101=>5
[8,7,3,2,1,5,6,4]=>1111001=>6
[8,2,6,7,3,1,5,4]=>1001101=>4
[1,7,2,8,5,6,4,3]=>0101011=>1
[2,7,1,8,4,6,5,3]=>0101011=>1
[3,7,8,2,1,6,5,4]=>0011011=>1
[8,7,6,1,4,5,3,2]=>1110011=>5
[4,8,1,2,3,7,5,6]=>0100010=>4
[1,8,2,3,6,5,4,7]=>0100110=>3
[3,5,8,4,7,2,6,1]=>0010101=>1
[1,8,5,4,6,2,3,7]=>0110100=>4
[3,8,5,4,6,1,2,7]=>0110100=>4
[3,8,5,1,6,4,2,7]=>0110110=>3
[2,8,5,4,6,1,3,7]=>0110100=>4
[2,8,5,4,6,3,1,7]=>0110110=>3
[1,8,5,4,6,3,2,7]=>0110110=>3
[2,5,8,4,7,3,6,1]=>0010101=>1
[3,6,4,2,7,8,5,1]=>0110011=>2
[3,5,4,1,6,2,7,8]=>0110100=>4
[4,5,8,1,7,6,2,3]=>0010110=>2
[3,5,8,4,7,1,6,2]=>0010101=>1
[1,5,8,4,7,3,6,2]=>0010101=>1
[3,6,4,1,7,8,5,2]=>0110011=>2
[3,6,4,8,7,5,2,1]=>0101111=>1
[1,6,4,3,7,8,5,2]=>0110011=>2
[7,1,3,4,8,6,5,2]=>1000111=>4
[7,6,1,3,8,4,2,5]=>1100110=>6
[1,6,4,2,7,8,3,5]=>0110010=>4
[2,6,4,3,7,1,8,5]=>0110101=>3
[2,6,4,1,7,8,3,5]=>0110010=>4
[7,2,3,4,8,6,5,1]=>1000111=>4
[7,2,3,1,8,6,4,5]=>1010110=>5
[7,2,3,4,1,6,8,5]=>1001001=>5
[1,2,4,3,8,5,7,6]=>0010101=>1
[7,3,8,6,1,4,2,5]=>1011010=>6
[7,2,8,6,3,4,1,5]=>1011010=>6
[7,2,3,1,5,6,8,4]=>1010001=>6
[7,2,3,8,1,6,5,4]=>1001011=>4
[7,2,3,8,5,6,4,1]=>1001011=>4
[2,6,4,8,7,1,5,3]=>0101101=>2
[1,5,8,4,7,6,2,3]=>0010110=>2
[3,5,8,1,6,7,2,4]=>0010010=>3
[7,6,1,3,5,8,2,4]=>1100010=>7
[7,1,3,2,5,6,8,4]=>1010001=>6
[7,1,3,8,2,6,5,4]=>1001011=>4
[7,6,1,8,5,4,2,3]=>1101110=>6
[3,2,6,5,8,4,7,1]=>1010101=>4
[4,3,7,1,6,5,8,2]=>1010101=>4
[5,2,6,4,8,3,7,1]=>1010101=>4
[4,3,7,5,8,2,6,1]=>1010101=>4
[5,3,7,4,8,2,6,1]=>1010101=>4
[5,3,7,4,8,1,6,2]=>1010101=>4
[5,4,8,1,6,2,7,3]=>1010101=>4
[4,3,7,1,5,2,8,6]=>1010101=>4
[5,4,8,2,6,3,7,1]=>1010101=>4
[5,4,8,1,6,3,7,2]=>1010101=>4
[4,1,7,5,2,3,6,8]=>1011000=>6
[4,1,7,8,6,3,2,5]=>1001110=>4
[4,7,2,8,3,5,1,6]=>0101010=>4
[6,8,3,2,1,4,7,5]=>0111001=>3
[7,2,4,1,6,5,8,3]=>1010101=>4
[7,5,8,4,3,1,6,2]=>1011101=>4
[6,8,2,4,1,3,7,5]=>0101001=>3
[2,8,4,7,6,3,5,1]=>0101101=>2
[6,1,2,7,5,8,4,3]=>1001011=>4
[4,2,7,3,8,5,6,1]=>1010101=>4
[4,5,2,6,8,3,7,1]=>0100101=>2
[4,8,3,2,5,7,6,1]=>0110011=>2
[7,2,4,3,8,5,6,1]=>1010101=>4
[6,8,5,3,4,7,2,1]=>0110011=>2
[8,4,7,6,2,3,5,1]=>1011001=>5
[6,8,4,1,5,3,7,2]=>0110101=>3
[8,3,4,7,6,2,5,1]=>1001101=>4
[1,8,3,5,2,6,7,4]=>0101001=>3
[6,8,3,5,1,4,7,2]=>0101001=>3
[6,8,5,4,2,3,7,1]=>0111001=>3
[5,8,2,4,3,7,6,1]=>0101011=>1
[8,2,1,3,5,6,4,7]=>1100010=>7
[8,2,1,3,5,4,7,6]=>1100101=>6
[8,2,1,3,4,6,7,5]=>1100001=>6
[8,1,3,4,2,6,5,7]=>1001010=>5
[8,1,3,4,2,5,7,6]=>1001001=>5
[8,1,3,2,5,6,4,7]=>1010010=>6
[8,1,2,4,5,3,7,6]=>1000101=>5
[8,1,2,4,3,6,7,5]=>1001001=>5
[10,2,1,4,3,6,5,8,7,9]=>110101010=>9
[10,2,1,4,3,6,5,7,9,8]=>110101001=>8
[10,2,1,4,3,5,7,8,6,9]=>110100010=>9
[10,2,1,4,3,5,7,6,9,8]=>110100101=>8
[10,2,1,4,3,5,6,8,9,7]=>110100001=>8
[10,2,1,3,5,6,4,8,7,9]=>110001010=>9
[10,2,1,3,5,6,4,7,9,8]=>110001001=>8
[10,2,1,3,5,4,7,8,6,9]=>110010010=>9
[10,2,1,3,5,4,7,6,9,8]=>110010101=>8
[10,2,1,3,5,4,6,8,9,7]=>110010001=>8
[10,2,1,3,4,6,7,8,5,9]=>110000010=>9
[10,2,1,3,4,6,7,5,9,8]=>110000101=>8
[10,2,1,3,4,6,5,8,9,7]=>110001001=>8
[10,2,1,3,4,5,7,8,9,6]=>110000001=>8
[10,1,3,4,2,6,5,8,7,9]=>100101010=>6
[10,1,3,4,2,6,5,7,9,8]=>100101001=>6
[10,1,3,4,2,5,7,8,6,9]=>100100010=>8
[10,1,3,4,2,5,7,6,9,8]=>100100101=>6
[10,1,3,4,2,5,6,8,9,7]=>100100001=>8
[10,1,3,2,5,6,4,8,7,9]=>101001010=>7
[10,1,3,2,5,6,4,7,9,8]=>101001001=>8
[10,1,3,2,5,4,7,8,6,9]=>101010010=>8
[10,1,3,2,5,4,7,6,9,8]=>101010101=>5
[10,1,3,2,5,4,6,8,9,7]=>101010001=>8
[10,1,3,2,4,6,7,8,5,9]=>101000010=>8
[10,1,3,2,4,6,7,5,9,8]=>101000101=>7
[10,1,3,2,4,6,5,8,9,7]=>101001001=>8
[10,1,3,2,4,5,7,8,9,6]=>101000001=>8
[10,1,2,4,5,6,3,8,7,9]=>100001010=>7
[10,1,2,4,5,6,3,7,9,8]=>100001001=>7
[10,1,2,4,5,3,7,8,6,9]=>100010010=>7
[10,1,2,4,5,3,7,6,9,8]=>100010101=>6
[10,1,2,4,5,3,6,8,9,7]=>100010001=>7
[10,1,2,4,3,6,7,8,5,9]=>100100010=>8
[10,1,2,4,3,6,7,5,9,8]=>100100101=>6
[10,1,2,4,3,6,5,8,9,7]=>100101001=>6
[10,1,2,4,3,5,7,8,9,6]=>100100001=>8
[10,1,2,3,5,6,7,8,4,9]=>100000010=>8
[10,1,2,3,5,6,7,4,9,8]=>100000101=>7
[10,1,2,3,5,6,4,8,9,7]=>100001001=>7
[10,1,2,3,5,4,7,8,9,6]=>100010001=>7
[10,1,2,3,4,6,7,8,9,5]=>100000001=>8
[12,1,3,4,2,6,5,8,7,10,9,11]=>10010101010=>7
[12,1,3,4,2,6,5,7,9,10,8,11]=>10010100010=>9
[12,1,3,4,2,5,7,8,6,10,9,11]=>10010001010=>9
[12,1,3,4,2,5,7,6,9,10,8,11]=>10010010010=>8
[12,1,3,2,5,6,4,8,7,10,9,11]=>10100101010=>8
[12,1,3,2,4,6,7,5,9,10,8,11]=>10100010010=>10
[12,1,2,4,5,6,3,7,9,10,8,11]=>10000100010=>9
[12,1,2,4,5,3,7,8,6,10,9,11]=>10001001010=>8
[12,1,2,4,5,3,7,6,9,10,8,11]=>10001010010=>8
[12,1,2,4,5,3,6,8,9,10,7,11]=>10001000010=>10
[12,1,2,4,3,6,7,8,5,10,9,11]=>10010001010=>9
[12,1,2,4,3,6,7,5,9,10,8,11]=>10010010010=>8
[12,1,2,4,3,6,5,8,9,10,7,11]=>10010100010=>9
[12,1,2,3,5,6,7,8,4,10,9,11]=>10000001010=>9
[12,1,2,3,5,6,4,8,9,10,7,11]=>10000100010=>9
[12,1,2,3,5,4,7,8,9,10,6,11]=>10001000010=>10
[12,1,2,3,4,6,7,8,9,10,5,11]=>10000000010=>10
[6,5,3,8,4,2,7,1]=>1101101=>5
[7,4,5,1,6,2,8,3]=>1010101=>4
[4,7,3,5,6,2,8,1]=>0100101=>2
[6,7,8,4,1,3,5,2]=>0011001=>2
[3,1,6,8,4,7,5,2]=>1001011=>4
[8,3,6,1,5,7,4,2]=>1010011=>5
[3,2,7,5,8,6,1,4]=>1010110=>5
[2,5,4,7,8,1,6,3]=>0100101=>2
[2,4,6,7,8,1,5,3]=>0000101=>1
[2,4,6,8,1,7,5,3]=>0001011=>1
[7,4,3,8,6,2,1,5]=>1101110=>6
[2,4,7,8,3,5,6,1]=>0001001=>1
[3,2,7,6,1,8,4,5]=>1011010=>6
[3,2,6,8,1,7,4,5]=>1001010=>5
[4,3,6,2,1,8,5,7]=>1011010=>6
[3,6,4,2,5,8,1,7]=>0110010=>4
[4,6,2,3,7,5,8,1]=>0100101=>2
[5,8,4,2,3,6,7,1]=>0110001=>4
[8,4,5,3,2,1,7,6]=>1011101=>4
[5,8,3,4,2,1,7,6]=>0101101=>2
[6,8,4,2,3,7,5,1]=>0110011=>2
[6,4,8,3,2,7,1,5]=>1011010=>6
[5,8,3,7,2,1,6,4]=>0101101=>2
[2,5,6,4,7,1,8,3]=>0010101=>1
[2,5,4,8,1,6,7,3]=>0101001=>3
[6,4,7,3,8,2,1,5]=>1010110=>5
[6,7,4,3,2,1,8,5]=>0111101=>2
[8,4,3,7,2,1,5,6]=>1101100=>7
[1,2,6,5,8,7,3,4]=>0010110=>2
[1,5,2,8,4,6,7,3]=>0101001=>3
[1,5,2,7,4,6,8,3]=>0101001=>3
[5,1,2,7,3,6,8,4]=>1001001=>5
[5,1,2,8,3,6,7,4]=>1001001=>5
[5,6,3,4,8,7,2,1]=>0100111=>2
[6,5,3,4,8,7,2,1]=>1100111=>4
[4,1,2,8,3,6,7,5]=>1001001=>5
[4,1,2,7,3,6,8,5]=>1001001=>5
[7,5,3,8,4,6,2,1]=>1101011=>5
[8,5,3,7,4,6,2,1]=>1101011=>5
[5,8,1,2,3,4,7,6]=>0100001=>4
[7,1,2,8,3,6,4,5]=>1001010=>5
[6,1,8,2,3,5,7,4]=>1010001=>6
[6,1,7,2,3,5,8,4]=>1010001=>6
[1,6,8,2,4,5,7,3]=>0010001=>2
[4,3,8,7,5,6,2,1]=>1011011=>3
[1,8,2,7,4,6,5,3]=>0101011=>1
[7,1,6,2,3,5,8,4]=>1010001=>6
[8,1,6,2,3,5,7,4]=>1010001=>6
[8,1,7,2,3,5,6,4]=>1010001=>6
[5,8,3,7,4,6,2,1]=>0101011=>1
[6,8,7,3,4,5,2,1]=>0110011=>2
[1,8,7,2,4,5,3,6]=>0110010=>4
[8,7,1,2,3,4,6,5]=>1100001=>6
[8,6,1,2,3,4,7,5]=>1100001=>6
[8,1,6,2,3,5,4,7]=>1010010=>6
[1,7,6,2,4,5,3,8]=>0110010=>4
[1,8,7,4,6,3,5,2]=>0110101=>3
[6,3,7,5,1,4,8,2]=>1011001=>5
[1,8,3,5,7,2,6,4]=>0100101=>2
[2,3,4,6,8,5,7,1]=>0000101=>1
[2,3,5,7,4,8,6,1]=>0001011=>1
[2,4,6,3,7,8,5,1]=>0010011=>1
[2,5,7,1,8,6,3,4]=>0010110=>2
[1,3,8,5,2,4,6,7]=>0011000=>4
[2,6,7,1,8,4,5,3]=>0010101=>1
[5,8,3,1,4,2,6,7]=>0110100=>4
[3,8,4,2,6,7,1,5]=>0110010=>4
[2,4,1,8,5,6,3,7]=>0101010=>4
[1,6,2,7,8,5,3,4]=>0100110=>3
[3,5,2,6,7,8,4,1]=>0100011=>3
[4,5,1,6,7,3,8,2]=>0100101=>2
[2,8,4,1,7,5,3,6]=>0110110=>3
[8,5,3,1,7,4,2,6]=>1110110=>7
[4,2,8,7,1,5,3,6]=>1011010=>6
[5,2,6,8,1,7,4,3]=>1001011=>4
[5,7,3,2,6,8,1,4]=>0110010=>4
[8,4,7,3,1,6,2,5]=>1011010=>6
[6,7,1,2,3,5,8,4]=>0100001=>4
[3,1,6,7,8,4,2,5]=>1000110=>5
[3,1,4,8,5,6,2,7]=>1001010=>5
[8,3,1,4,5,7,2,6]=>1100010=>7
[1,6,7,8,9,2,3,4,5]=>00001000=>4
[6,7,8,9,1,2,3,4,5,10]=>000100000=>6
[6,7,8,1,2,3,4,5,9]=>00100000=>6
[1,7,8,9,2,3,4,5,6]=>00010000=>5
[1,7,8,9,10,2,3,4,5,6]=>000010000=>5
[5,6,7,8,9,1,2,3,4,10]=>000010000=>5
[5,6,7,1,8,2,3,4,9]=>00101000=>4
[4,6,7,8,1,2,3,5,9]=>00010000=>5
[1,6,7,8,2,9,3,4,5]=>00010100=>3
[1,5,7,8,9,2,3,4,6]=>00001000=>4
[1,6,7,8,9,10,2,3,4,5]=>000001000=>4
[8,6,2,3,5,1,4,7]=>1100100=>7
[8,2,4,5,7,3,1,6]=>1000110=>5
[2,6,3,8,7,5,4,1]=>0101111=>1
[8,2,3,7,5,4,1,6]=>1001110=>4
[8,2,6,3,5,4,1,7]=>1010110=>5
[8,6,1,5,2,4,3,7]=>1101010=>7
[8,6,2,4,1,5,3,7]=>1101010=>7
[8,4,1,6,5,3,2,7]=>1101110=>6
[8,3,6,1,5,4,2,7]=>1010110=>5
[8,3,2,6,5,4,1,7]=>1101110=>6
[8,3,2,5,7,4,1,6]=>1100110=>6
[8,3,1,7,5,4,2,6]=>1101110=>6
[8,2,7,4,1,5,3,6]=>1011010=>6
[6,1,3,8,7,5,4,2]=>1001111=>3
[3,6,1,8,7,5,4,2]=>0101111=>1
[3,8,1,5,7,6,4,2]=>0100111=>2
[3,5,2,8,7,6,4,1]=>0101111=>1
[3,4,8,2,7,6,5,1]=>0010111=>1
[3,4,8,7,1,6,5,2]=>0011011=>1
[8,1,3,5,7,6,4,2]=>1000111=>4
[4,1,8,5,7,6,3,2]=>1010111=>3
[8,2,7,1,4,5,6,3]=>1010001=>6
[8,1,7,3,4,6,2,5]=>1010010=>6
[8,3,1,7,2,6,5,4]=>1101011=>5
[3,8,2,4,7,6,5,1]=>0100111=>2
[2,8,3,7,4,6,5,1]=>0101011=>1
[8,2,3,7,1,6,5,4]=>1001011=>4
[8,2,7,1,3,6,5,4]=>1010011=>5
[8,1,7,2,6,4,3,5]=>1010110=>5
[8,1,7,5,2,4,3,6]=>1011010=>6
[8,2,3,7,4,6,1,5]=>1001010=>5
[2,4,8,5,7,6,3,1]=>0010111=>1
[8,2,4,3,7,6,1,5]=>1010110=>5
[8,2,7,3,5,1,4,6]=>1010100=>7
[8,2,7,4,3,1,5,6]=>1011100=>5
[8,2,7,3,1,5,6,4]=>1011001=>5
[8,2,1,5,7,6,4,3]=>1100111=>4
[6,2,1,8,7,5,4,3]=>1101111=>3
[6,1,8,2,7,5,4,3]=>1010111=>3
[8,1,7,3,5,2,6,4]=>1010101=>4
[8,1,5,2,7,6,4,3]=>1010111=>3
[8,1,7,2,4,6,5,3]=>1010011=>5
[8,2,4,1,7,6,5,3]=>1010111=>3
[4,2,8,3,7,6,5,1]=>1010111=>3
[4,8,2,1,7,6,5,3]=>0110111=>1
[5,1,8,7,2,6,4,3]=>1011011=>3
[5,8,1,3,7,6,2,4]=>0100110=>3
[8,2,5,4,1,7,6,3]=>1011011=>3
[5,1,4,8,7,6,3,2]=>1001111=>3
[8,1,4,3,7,6,5,2]=>1010111=>3
[4,8,1,3,7,6,5,2]=>0100111=>2
[4,3,8,1,7,6,5,2]=>1010111=>3
[5,8,6,3,2,1,7,4]=>0111101=>2
[5,7,6,3,2,4,1,8]=>0111010=>3
[6,5,7,2,4,3,1,8]=>1010110=>5
[5,7,1,3,2,8,6,4]=>0101011=>1
[5,8,1,3,2,7,4,6]=>0101010=>4
[8,5,1,3,2,4,6,7]=>1101000=>7
[7,5,1,3,2,4,8,6]=>1101001=>6
[7,5,8,2,1,4,3,6]=>1011010=>6
[6,7,1,2,5,4,8,3]=>0100101=>2
[6,8,1,2,5,7,4,3]=>0100011=>3
[7,1,2,3,8,6,4,5]=>1000110=>5
[8,1,6,4,2,3,5,7]=>1011000=>6
[1,5,4,8,2,3,7,6]=>0101001=>3
[1,7,8,2,3,5,6,4]=>0010001=>2
[7,5,8,2,3,1,4,6]=>1010100=>7
[7,4,1,2,6,8,3,5]=>1100010=>7
[6,2,8,1,5,7,3,4]=>1010010=>6
[7,2,5,4,1,8,6,3]=>1011011=>3
[7,3,5,4,2,1,8,6]=>1011101=>4
[7,3,2,8,5,6,1,4]=>1101010=>7
[1,7,4,3,6,8,5,2]=>0110011=>2
[4,7,6,5,2,3,8,1]=>0111001=>3
[5,4,6,8,7,2,1,3]=>1001110=>4
[6,7,4,2,1,8,5,3]=>0111011=>2
[1,7,6,3,2,8,4,5]=>0111010=>3
[6,5,8,1,7,3,4,2]=>1010101=>4
[6,5,8,2,3,7,4,1]=>1010011=>5
[6,5,8,3,4,1,7,2]=>1010101=>4
[4,1,2,8,5,3,6,7]=>1001100=>6
[3,5,8,2,6,1,7,4]=>0010101=>1
[3,7,6,1,5,2,8,4]=>0110101=>3
[1,7,6,2,5,8,4,3]=>0110011=>2
[1,7,6,5,8,4,2,3]=>0110110=>3
[3,7,6,2,8,4,5,1]=>0110101=>3
[4,3,6,8,5,1,2,7]=>1001100=>6
[2,7,1,5,8,4,3,6]=>0100110=>3
[2,7,6,1,8,4,3,5]=>0110110=>3
[7,1,2,6,3,5,4,8]=>1001010=>5
[7,2,6,3,4,5,1,8]=>1010010=>6
[6,1,2,5,7,8,4,3]=>1000011=>5
[4,1,2,7,8,5,3,6]=>1000110=>5
[4,7,3,1,2,6,8,5]=>0110001=>4
[3,7,6,1,5,8,2,4]=>0110010=>4
[3,8,5,6,4,2,7,1]=>0101101=>2
[3,2,6,4,7,8,5,1]=>1010011=>5
[4,2,7,5,8,3,1,6]=>1010110=>5
[4,2,7,1,3,8,6,5]=>1010011=>5
[5,2,1,4,7,8,3,6]=>1100010=>7
[5,6,2,7,3,4,8,1]=>0101001=>3
[6,1,3,8,5,4,7,2]=>1001101=>4
[2,7,6,8,5,1,3,4]=>0101100=>3
[2,7,6,8,5,3,1,4]=>0101110=>2
[1,5,8,6,4,2,3,7]=>0011100=>3
[2,5,8,6,4,1,7,3]=>0011101=>1
[1,6,2,3,5,8,7,4]=>0100011=>3
[4,7,2,3,1,6,8,5]=>0101001=>3
[6,7,3,1,5,4,8,2]=>0110101=>3
[7,4,6,2,8,3,5,1]=>1010101=>4
[7,3,5,1,4,8,2,6]=>1010010=>6
[3,4,6,5,1,2,7,8]=>0011000=>4
[7,5,4,3,8,6,2,1]=>1110111=>4
[4,3,8,2,6,7,5,1]=>1010011=>5
[4,3,8,2,5,7,1,6]=>1010010=>6
[4,1,6,2,5,3,7,8]=>1010100=>7
[5,1,8,6,4,7,2,3]=>1011010=>6
[4,2,6,1,5,3,8,7]=>1010101=>4
[6,7,2,3,1,5,8,4]=>0101001=>3
[7,5,2,3,8,1,6,4]=>1100101=>6
[7,5,2,3,8,4,1,6]=>1100110=>6
[4,5,1,7,6,3,8,2]=>0101101=>2
[8,1,7,5,2,3,4,6]=>1011000=>6
[8,6,3,1,4,2,5,7]=>1110100=>7
[4,5,1,6,2,8,7,3]=>0101011=>1
[4,8,3,6,1,7,2,5]=>0101010=>4
[6,2,7,8,3,4,5,1]=>1001001=>5
[9,2,3,4,5,6,7,8,1]=>10000001=>7
[8,2,3,4,5,6,7,1,9]=>10000010=>7
[7,2,3,4,5,6,1,8,9]=>10000100=>7
[6,2,3,4,5,1,7,8,9]=>10001000=>8
[5,2,3,4,1,6,7,8,9]=>10010000=>8
[4,2,3,1,5,6,7,8,9]=>10100000=>8
[1,2,4,3,5,6,7,8,9]=>00100000=>6
[1,2,4,6,8,9,7,5,3]=>00000111=>1
[1,2,4,5,3,6,7,8,9]=>00010000=>5
[1,2,4,3,5,6,7,8,9,10]=>001000000=>7
[1,2,4,6,8,10,9,7,5,3]=>000001111=>1
[1,2,4,6,8,5,7,3]=>0000101=>1
[2,1,7,5,8,6,3,4]=>1010110=>5
[4,7,3,8,6,5,2,1]=>0101111=>1
[3,8,7,4,6,5,1,2]=>0110110=>3
[7,3,8,4,6,5,1,2]=>1010110=>5
[7,4,3,6,5,8,1,2]=>1101010=>7
[4,5,8,7,2,6,1,3]=>0011010=>2
[3,8,6,7,5,1,4,2]=>0101101=>2
[4,2,7,6,5,8,3,1]=>1011011=>3
[4,6,7,8,5,2,3,1]=>0001101=>1
[4,5,3,8,2,7,6,1]=>0101011=>1
[3,8,5,4,1,7,6,2]=>0111011=>2
[6,4,7,2,5,8,3,1]=>1010011=>5
[6,3,8,7,5,1,4,2]=>1011101=>4
[5,3,6,4,1,2,8,7]=>1011001=>5
[6,8,4,3,5,7,1,2]=>0110010=>4
[5,2,4,8,7,6,1,3]=>1001110=>4
[4,2,5,1,7,8,3,6]=>1010010=>6
[2,5,4,1,3,8,6,7]=>0110010=>4
[1,4,5,3,8,2,6,7]=>0010100=>3
[5,1,8,2,4,3,6,7]=>1010100=>7
[1,5,4,8,2,3,6,7]=>0101000=>5
[3,5,1,4,7,8,2,6]=>0100010=>4
[4,8,3,1,6,7,2,5]=>0110010=>4
[3,4,8,2,6,5,7,1]=>0010101=>1
[3,6,2,4,8,7,1,5]=>0100110=>3
[4,7,3,2,6,8,1,5]=>0110010=>4
[7,3,4,6,8,1,2,5]=>1000100=>6
[3,6,7,2,5,8,1,4]=>0010010=>3
[1,5,6,8,3,7,2,4]=>0001010=>2
[6,1,5,8,3,4,7,2]=>1001001=>5
[5,6,8,1,3,4,7,2]=>0010001=>2
[2,8,5,6,3,4,7,1]=>0101001=>3
[6,8,1,3,5,4,7,2]=>0100101=>2
[8,1,6,3,5,4,7,2]=>1010101=>4
[1,8,7,3,6,4,5,2]=>0110101=>3
[7,1,2,5,8,4,6,3]=>1000101=>5
[6,2,4,8,1,7,3,5]=>1001010=>5
[3,1,7,8,5,4,6,2]=>1001101=>4
[1,6,2,7,4,8,5,3]=>0101011=>1
[2,7,1,8,4,3,5,6]=>0101100=>3
[6,7,1,8,3,2,4,5]=>0101100=>3
[2,7,6,3,5,8,1,4]=>0110010=>4
[2,7,5,6,8,1,3,4]=>0100100=>5
[6,7,2,8,1,3,4,5]=>0101000=>5
[5,1,6,8,7,2,3,4]=>1001100=>6
[1,5,7,6,8,2,3,4]=>0010100=>3
[7,4,6,8,5,3,1,2]=>1001110=>4
[2,1,5,7,8,3,6,4]=>1000101=>5
[3,8,6,7,5,1,2,4]=>0101100=>3
[4,7,5,8,6,3,1,2]=>0101110=>2
[1,6,8,3,2,5,4,7]=>0011010=>2
[7,8,5,1,3,2,6,4]=>0110101=>3
[2,6,8,1,5,4,7,3]=>0010101=>1
[1,5,4,7,6,2,8,3]=>0101101=>2
[2,3,7,6,5,1,8,4]=>0011101=>1
[6,1,5,8,3,2,7,4]=>1001101=>4
[3,1,2,4,8,5,7,6]=>1000101=>5
[2,5,8,4,6,3,1,7]=>0010110=>2
[7,1,5,4,8,3,2,6]=>1010110=>5
[6,4,1,7,5,3,2,8]=>1101110=>6
[2,7,6,4,8,1,5,3]=>0110101=>3
[7,2,5,4,8,1,6,3]=>1010101=>4
[1,7,2,5,3,8,6,4]=>0101011=>1
[2,4,1,3,6,8,5,7,9]=>01000100=>6
[7,2,3,8,6,1,5,4]=>1001101=>4
[5,3,8,4,1,2,6,7]=>1011000=>6
[2,4,8,3,7,1,5,6]=>0010100=>3
[5,2,8,4,1,6,3,7]=>1011010=>6
[7,6,5,2,1,8,4,3]=>1111011=>5
[2,7,5,1,8,3,6,4]=>0110101=>3
[5,1,8,7,4,3,6,2]=>1011101=>4
[3,8,7,2,4,6,1,5]=>0110010=>4
[5,7,1,3,2,4,8,6]=>0101001=>3
[4,2,7,6,3,5,8,1]=>1011001=>5
[8,4,7,6,3,5,1,2]=>1011010=>6
[8,1,7,4,2,3,5,6]=>1011000=>6
[6,5,1,3,8,7,4,2]=>1100111=>4
[4,7,8,3,2,5,1,6]=>0011010=>2
[6,1,8,5,3,7,2,4]=>1011010=>6
[5,1,6,8,3,7,4,2]=>1001011=>4
[8,6,5,1,7,4,3,2]=>1110111=>4
[7,6,4,1,3,5,8,2]=>1110001=>6
[8,2,3,7,1,4,5,6]=>1001000=>7
[2,8,3,7,1,4,5,6]=>0101000=>5
[5,6,2,7,4,3,1,8]=>0101110=>2
[8,6,2,7,4,1,3,5]=>1101100=>7
[3,7,8,2,6,1,4,5]=>0010100=>3
[3,7,8,5,2,1,4,6]=>0011100=>3
[6,8,4,7,3,1,5,2]=>0101101=>2
[4,8,6,5,1,2,7,3]=>0111001=>3
[4,8,6,5,1,2,3,7]=>0111000=>4
[3,4,5,1,7,6,8,2]=>0010101=>1
[3,8,7,6,5,1,2,4]=>0111100=>3
[8,4,6,7,1,2,5,3]=>1001001=>5
[5,7,2,6,1,8,4,3]=>0101011=>1
[5,7,2,6,1,3,8,4]=>0101001=>3
[5,8,2,6,1,4,7,3]=>0101001=>3
[3,8,7,5,6,1,4,2]=>0110101=>3
[6,8,4,7,2,1,5,3]=>0101101=>2
[1,7,3,4,5,2,8,6]=>0100101=>2
[4,8,2,1,3,5,6,7]=>0110000=>5
[1,7,2,5,4,3,8,6]=>0101101=>2
[2,6,7,3,4,8,1,5]=>0010010=>3
[2,1,5,7,4,3,8,6]=>1001101=>4
[4,1,8,7,5,6,2,3]=>1011010=>6
[1,5,8,7,4,3,6,2]=>0011101=>1
[6,4,1,3,8,7,5,2]=>1100111=>4
[2,1,7,4,6,8,3,5]=>1010010=>6
[1,7,2,4,6,8,3,5]=>0100010=>4
[8,6,4,2,7,3,5,1]=>1110101=>6
[7,4,6,1,2,3,8,5]=>1010001=>6
[1,8,6,2,7,3,5,4]=>0110101=>3
[1,7,8,6,2,3,5,4]=>0011001=>2
[2,1,8,3,5,7,6,4]=>1010011=>5
[3,5,8,1,7,6,2,4]=>0010110=>2
[2,8,1,3,6,7,5,4]=>0100011=>3
[7,2,4,8,6,1,5,3]=>1001101=>4
[2,4,1,5,6,7,8,9,10,3]=>010000001=>6
[2,3,4,5,6,7,9,1,10,8]=>000000101=>1
[2,3,5,1,6,7,8,9,10,4]=>001000001=>4
[2,3,4,5,6,8,1,9,10,7]=>000001001=>1
[2,3,4,6,1,7,8,9,10,5]=>000100001=>2
[2,3,4,5,7,1,8,9,10,6]=>000010001=>1
[4,1,2,5,6,7,8,9,10,3]=>100000001=>8
[4,3,1,5,6,7,8,10,2,9]=>110000010=>9
[2,6,1,5,3,7,8,9,10,4]=>010100001=>5
[5,3,4,1,6,7,9,2,10,8]=>101000101=>7
[2,3,8,1,6,7,4,9,10,5]=>001001001=>3
[6,3,4,5,1,8,2,9,10,7]=>100101001=>6
[2,3,4,10,1,7,8,9,5,6]=>000100010=>3
[8,2,1,3,4,5,6,7,9]=>11000000=>8
[3,2,4,5,6,7,8,1,9]=>10000010=>7
[9,2,1,3,4,5,6,7,8,10]=>110000000=>9
[8,3,1,2,4,5,6,7,9]=>11000000=>8
[8,2,3,1,4,5,6,7,9]=>10100000=>8
[4,2,3,5,6,7,8,1,9]=>10000010=>7
[6,4,3,2,8,1,7,5]=>1110101=>6
[6,2,4,3,8,1,7,5]=>1010101=>4
[5,8,4,3,1,6,7,2]=>0111001=>3
[8,7,2,4,6,10,1,3,5,9]=>110001000=>9
[2,10,7,9,4,6,8,1,3,5]=>010100100=>6
[6,5,2,4,8,10,1,3,7,9]=>110001000=>9
[2,8,5,7,4,6,10,1,3,9]=>010100100=>6
[10,5,2,4,7,9,6,8,1,3]=>110001010=>9
[10,9,2,8,5,7,4,6,1,3]=>110101010=>9
[8,7,6,5,2,4,10,1,3,9]=>111100100=>9
[10,7,2,6,5,9,4,8,1,3]=>110101010=>9
[6,10,5,9,8,7,2,4,1,3]=>010111010=>3
[4,10,3,9,2,6,8,1,5,7]=>010100100=>6
[4,3,10,7,9,2,6,8,1,5]=>101010010=>8
[3,6,2,5,4,8,10,1,7,9]=>010100100=>6
[3,6,10,2,5,9,4,8,1,7]=>001001010=>2
[3,5,8,2,4,7,6,10,1,9]=>001001010=>2
[3,5,7,10,2,4,6,9,8,1]=>000100011=>1
[10,9,3,5,8,2,4,7,6,1]=>110010011=>7
[8,7,3,6,2,5,4,10,1,9]=>110101010=>9
[7,6,3,5,10,2,4,9,8,1]=>110010011=>7
[3,6,10,9,8,2,5,7,4,1]=>001110011=>2
[10,9,8,7,3,6,2,5,4,1]=>111101011=>7
[5,4,3,8,2,7,6,10,1,9]=>110101010=>9
[5,4,3,7,10,2,6,9,8,1]=>110010011=>7
[5,10,4,9,3,8,2,7,6,1]=>010101011=>1
[4,8,3,7,6,5,2,10,1,9]=>010111010=>3
[4,7,3,6,5,10,2,9,8,1]=>010101011=>1
[4,6,10,3,5,9,8,7,2,1]=>001001111=>1
[10,9,4,8,3,7,6,5,2,1]=>110101111=>5
[7,6,5,4,3,10,2,9,8,1]=>111101011=>7
[6,5,4,10,3,9,8,7,2,1]=>110101111=>5
[5,10,4,9,8,7,6,3,2,1]=>010111111=>1
[4,2,8,1,5,7,6,3]=>1010011=>5
[6,3,7,2,5,4,8,1]=>1010101=>4
[5,4,7,3,2,6,8,1]=>1011001=>5
[5,7,2,6,3,4,8,1]=>0101001=>3
[3,7,5,4,6,2,8,1]=>0110101=>3
[6,8,3,2,1,7,4,5]=>0111010=>3
[4,8,1,7,5,3,2,6]=>0101110=>2
[5,4,3,7,2,8,6,1]=>1101011=>5
[3,6,5,7,2,8,4,1]=>0101011=>1
[4,6,5,3,8,2,1,7]=>0110110=>3
[2,6,5,8,7,3,1,4]=>0101110=>2
[6,3,8,4,1,7,2,5]=>1011010=>6
[7,2,8,1,6,4,3,5]=>1010110=>5
[3,2,8,7,6,4,1,5]=>1011110=>4
[8,2,6,4,3,5,1,7]=>1011010=>6
[5,4,2,8,6,3,7,1]=>1101101=>5
[2,8,7,5,3,1,4,6]=>0111100=>3
[2,5,6,3,1,4,8,7]=>0011001=>2
[2,4,7,8,5,3,1,6]=>0001110=>2
[6,5,3,2,4,1,8,7]=>1110101=>6
[6,5,8,7,3,2,4,1]=>1011101=>4
[2,1,4,7,8,5,3,6]=>1000110=>5
[8,5,6,7,3,1,4,2]=>1001101=>4
[8,7,5,3,2,6,4,1]=>1111011=>5
[8,5,3,1,4,6,7,2]=>1110001=>6
[8,5,1,6,4,3,7,2]=>1101101=>5
[6,1,4,3,7,8,2,5]=>1010010=>6
[6,1,2,7,5,8,3,4]=>1001010=>5
[2,7,3,1,4,6,8,5]=>0110001=>4
[2,8,3,1,6,5,7,4]=>0110101=>3
[3,8,5,6,7,1,2,4]=>0100100=>5
[2,5,8,1,4,6,7,3]=>0010001=>2
[2,1,8,7,5,4,6,3]=>1011101=>4
[7,8,3,4,1,6,5,2]=>0101011=>1
[8,7,3,4,2,6,5,1]=>1101011=>5
[8,4,5,2,3,7,1,6]=>1010010=>6
[4,7,2,8,6,3,1,5]=>0101110=>2
[4,7,5,2,3,8,1,6]=>0110010=>4
[6,4,7,5,2,8,3,1]=>1011011=>3
[7,5,1,3,6,4,8,2]=>1100101=>6
[6,5,2,3,7,8,4,1]=>1100011=>5
[7,2,6,3,1,5,8,4]=>1011001=>5
[4,6,3,8,7,5,1,2]=>0101110=>2
[2,8,4,1,5,7,6,3]=>0110011=>2
[1,8,4,2,5,7,6,3]=>0110011=>2
[2,8,5,4,1,7,6,3]=>0111011=>2
[2,5,8,3,7,1,6,4]=>0010101=>1
[1,8,5,2,4,7,6,3]=>0110011=>2
[1,4,6,2,8,7,5,3]=>0010111=>1
[7,8,2,4,1,6,5,3]=>0101011=>1
[2,4,6,1,8,7,5,3]=>0010111=>1
[2,8,4,5,1,7,6,3]=>0101011=>1
[3,5,8,2,7,6,1,4]=>0010110=>2
[2,1,6,8,7,5,3,4]=>1001110=>4
[1,8,2,4,5,7,6,3]=>0100011=>3
[1,2,8,3,5,7,6,4]=>0010011=>1
[1,3,8,2,5,7,6,4]=>0010011=>1
[2,3,8,1,5,7,6,4]=>0010011=>1
[2,6,1,8,7,5,3,4]=>0101110=>2
[1,6,2,8,7,5,3,4]=>0101110=>2
[1,6,3,8,7,5,2,4]=>0101110=>2
[2,6,3,8,7,5,1,4]=>0101110=>2
[3,2,8,1,5,7,6,4]=>1010011=>5
[3,1,8,2,5,7,6,4]=>1010011=>5
[2,8,1,4,5,7,6,3]=>0100011=>3
[7,8,2,1,4,6,5,3]=>0110011=>2
[2,3,6,8,7,5,1,4]=>0001110=>2
[3,1,6,8,7,2,5,4]=>1001101=>4
[3,8,4,5,1,6,2,7]=>0101010=>4
[6,1,4,5,7,2,3,8]=>1000100=>6
[8,1,4,7,6,3,2,5]=>1001110=>4
[8,3,1,6,4,7,2,5]=>1101010=>7
[5,3,8,6,2,7,1,4]=>1011010=>6
[8,3,6,1,5,7,2,4]=>1010010=>6
[8,4,6,3,1,2,5,7]=>1011000=>6
[6,8,1,4,5,2,3,7]=>0100100=>5
[1,5,8,4,6,2,3,7]=>0010100=>3
[2,1,6,5,3,8,4,7]=>1011010=>6
[5,6,8,1,4,2,3,7]=>0010100=>3
[5,7,4,8,1,2,3,6]=>0101000=>5
[8,2,1,5,3,7,4,6]=>1101010=>7
[4,7,8,1,2,6,3,5]=>0010010=>3
[8,7,1,5,6,2,3,4]=>1100100=>7
[1,6,5,8,7,2,3,4]=>0101100=>3
[3,7,1,6,2,4,8,5]=>0101001=>3
[5,1,2,7,6,8,3,4]=>1001010=>5
[6,1,7,2,5,8,3,4]=>1010010=>6
[1,7,6,5,8,2,3,4]=>0110100=>4
[1,6,8,5,7,2,3,4]=>0010100=>3
[7,5,1,2,6,8,3,4]=>1100010=>7
[6,1,5,2,7,8,3,4]=>1010010=>6
[1,6,3,8,7,2,4,5]=>0101100=>3
[1,7,3,2,4,6,8,5]=>0110001=>4
[8,3,1,4,2,5,7,6]=>1101001=>6
[3,1,2,7,8,4,6,5]=>1000101=>5
[5,1,2,6,8,7,3,4]=>1000110=>5
[1,8,6,2,5,7,3,4]=>0110010=>4
[5,7,8,1,2,6,3,4]=>0010010=>3
[8,1,5,7,6,2,3,4]=>1001100=>6
[7,1,6,8,5,2,3,4]=>1001100=>6
[3,7,1,2,8,4,6,5]=>0100101=>2
[8,3,1,2,7,6,4,5]=>1100110=>6
[1,5,8,7,6,2,3,4]=>0011100=>3
[7,8,6,1,5,2,3,4]=>0110100=>4
[1,9,3,4,5,6,7,8,2]=>01000001=>5
[9,2,3,4,5,6,7,8,1,10]=>100000010=>8
[1,9,8,4,5,6,7,3,2]=>01100011=>3
[1,10,3,4,5,6,7,8,9,2]=>010000001=>6
[1,10,9,4,5,6,7,8,3,2]=>011000011=>4
[7,8,6,3,1,5,2,4]=>0111010=>3
[7,8,1,3,4,5,2,6]=>0100010=>4
[1,7,4,8,2,5,3,6]=>0101010=>4
[3,8,6,1,4,2,7,5]=>0110101=>3
[7,1,8,2,4,6,3,5]=>1010010=>6
[7,6,8,4,1,5,3,2]=>1011011=>3
[7,3,2,8,1,5,4,6]=>1101010=>7
[3,5,4,1,7,2,6,8]=>0110100=>4
[6,4,7,3,2,5,1,8]=>1011010=>6
[7,6,5,3,8,4,1,2]=>1110110=>7
[6,4,5,7,8,1,3,2]=>1000101=>5
[3,7,4,1,6,8,5,2]=>0110011=>2
[3,1,2,7,6,8,5,4]=>1001011=>4
[6,3,2,8,4,5,1,7]=>1101010=>7
[6,1,8,3,5,4,2,7]=>1010110=>5
[3,8,5,2,4,6,1,7]=>0110010=>4
[1,6,4,8,3,5,2,7]=>0101010=>4
[1,5,4,8,6,3,7,2]=>0101101=>2
[4,8,2,5,3,7,1,6]=>0101010=>4
[3,8,4,5,2,6,7,1]=>0101001=>3
[4,1,8,6,5,3,7,2]=>1011101=>4
[5,7,8,4,6,3,2,1]=>0010111=>1
[5,3,2,8,6,4,7,1]=>1101101=>5
[6,8,1,2,7,4,3,5]=>0100110=>3
[5,8,7,3,6,2,4,1]=>0110101=>3
[7,5,2,3,4,8,6,1]=>1100011=>5
[7,3,5,4,2,8,6,1]=>1011011=>3
[5,6,1,3,2,4,7,8]=>0101000=>5
[2,5,1,3,7,8,6,4]=>0100011=>3
[4,3,7,2,1,8,6,5]=>1011011=>3
[4,6,7,2,1,3,5,8]=>0011000=>4
[4,6,2,3,1,5,7,8]=>0101000=>5
[3,6,4,2,5,1,7,8]=>0110100=>4
[3,1,6,4,7,5,2,8]=>1010110=>5
[3,6,2,7,5,4,1,8]=>0101110=>2
[2,4,7,5,3,6,1,8]=>0011010=>2
[2,5,7,3,4,1,6,8]=>0010100=>3
[2,3,5,8,6,4,7,1]=>0001101=>1
[2,4,7,3,8,6,5,1]=>0010111=>1
[3,4,2,7,5,8,6,1]=>0101011=>1
[3,1,5,4,7,8,6,2]=>1010011=>5
[4,5,7,2,3,1,8,6]=>0010101=>1
[3,7,8,1,4,6,5,2]=>0010011=>1
[2,5,8,7,4,1,3,6]=>0011100=>3
[2,6,4,7,5,3,8,1]=>0101101=>2
[6,2,4,7,1,3,8,5]=>1001001=>5
[7,3,5,1,4,2,8,6]=>1010101=>4
[5,4,7,1,3,2,8,6]=>1010101=>4
[6,1,4,7,5,3,8,2]=>1001101=>4
[8,7,4,3,1,5,6,2]=>1111001=>6
[8,7,1,4,3,5,6,2]=>1101001=>6
[6,1,8,4,7,3,2,5]=>1010110=>5
[4,7,3,6,1,2,8,5]=>0101001=>3
[5,2,1,7,4,3,8,6]=>1101101=>5
[4,7,6,2,3,1,8,5]=>0110101=>3
[7,6,8,2,5,3,4,1]=>1010101=>4
[2,3,6,1,8,7,5,4]=>0010111=>1
[2,6,8,7,5,3,1,4]=>0011110=>2
[6,4,1,7,5,2,8,3]=>1101101=>5
[5,7,8,2,3,6,1,4]=>0010010=>3
[4,8,7,1,2,5,6,3]=>0110001=>4
[2,8,7,4,1,5,6,3]=>0111001=>3
[8,6,2,1,5,7,4,3]=>1110011=>5
[3,8,6,7,5,2,1,4]=>0101110=>2
[6,1,3,7,5,8,2,4]=>1001010=>5
[4,7,3,1,8,5,6,2]=>0110101=>3
[2,6,7,5,3,4,8,1]=>0011001=>2
[2,6,4,5,7,3,8,1]=>0100101=>2
[6,1,4,5,8,3,7,2]=>1000101=>5
[6,1,8,5,3,4,7,2]=>1011001=>5
[4,1,5,6,8,3,7,2]=>1000101=>5
[6,4,1,8,7,2,5,3]=>1101101=>5
[8,1,2,3,4,5,6,7,10,9]=>100000001=>8
[1,7,2,3,4,5,6,9,8]=>01000001=>5
[1,3,8,5,2,7,4,6]=>0011010=>2
[1,3,8,6,7,2,4,5]=>0010100=>3
[2,8,3,7,6,1,4,5]=>0101100=>3
[4,2,7,8,6,1,3,5]=>1001100=>6
[1,3,8,7,6,2,4,5]=>0011100=>3
[7,4,6,8,5,2,3,1]=>1001101=>4
[7,5,3,6,8,2,1,4]=>1100110=>6
[5,2,6,7,8,1,3,4]=>1000100=>6
[4,5,6,8,1,2,7,3]=>0001001=>1
[3,5,8,6,1,2,7,4]=>0011001=>2
[4,2,6,8,7,1,3,5]=>1001100=>6
[1,4,6,8,7,2,3,5]=>0001100=>3
[4,5,3,8,1,7,2,6]=>0101010=>4
[3,5,8,4,1,7,2,6]=>0011010=>2
[1,6,5,7,8,2,3,4]=>0100100=>5
[5,6,4,8,2,3,7,1]=>0101001=>3
[6,5,4,8,1,3,7,2]=>1101001=>6
[7,6,4,8,5,1,3,2]=>1101101=>5
[7,2,6,5,8,1,3,4]=>1010100=>7
[6,3,7,5,2,4,8,1]=>1011001=>5
[8,1,2,7,4,5,3,6]=>1001010=>5
[2,5,7,4,6,1,3,8]=>0010100=>3
[6,1,7,4,5,3,8,2]=>1010101=>4
[8,2,7,3,1,5,4,6]=>1011010=>6
[2,6,4,8,3,1,7,5]=>0101101=>2
[8,1,3,7,5,6,4,2]=>1001011=>4
[1,2,5,3,8,6,7,4]=>0010101=>1
[4,1,6,5,7,8,2,3]=>1010010=>6
[6,1,3,7,4,2,8,5]=>1001101=>4
[6,7,2,4,1,3,8,5]=>0101001=>3
[7,3,8,4,2,6,5,1]=>1011011=>3
[8,5,3,4,2,7,1,6]=>1101010=>7
[1,3,8,2,5,6,7,4]=>0010001=>2
[1,8,6,7,2,5,4,3]=>0101011=>1
[7,6,8,3,5,4,2,1]=>1010111=>3
[1,6,7,3,8,5,4,2]=>0010111=>1
[8,7,2,4,6,1,5,3]=>1100101=>6
[7,8,6,5,2,4,3,1]=>0111011=>2
[3,6,7,5,2,8,4,1]=>0011011=>1
[5,4,6,7,8,1,3,2]=>1000101=>5
[5,3,6,7,8,1,4,2]=>1000101=>5
[5,3,7,6,8,4,1,2]=>1010110=>5
[7,5,3,2,8,6,4,1]=>1110111=>4
[5,4,8,6,7,2,3,1]=>1010101=>4
[5,4,8,6,3,1,2,7]=>1011100=>5
[4,5,7,3,6,2,8,1]=>0010101=>1
[4,5,6,3,8,2,7,1]=>0010101=>1
[5,4,8,7,2,1,3,6]=>1011100=>5
[2,5,4,7,8,1,3,6]=>0100100=>5
[5,3,6,4,8,2,7,1]=>1010101=>4
[5,3,7,4,6,2,8,1]=>1010101=>4
[8,2,6,3,7,4,5,1]=>1010101=>4
[8,2,4,7,3,5,6,1]=>1001001=>5
[8,2,6,5,7,3,4,1]=>1010101=>4
[4,5,6,2,7,3,8,1]=>0010101=>1
[5,4,6,2,8,3,7,1]=>1010101=>4
[8,4,6,1,7,2,5,3]=>1010101=>4
[5,2,1,6,3,8,7,4]=>1101011=>5
[4,5,6,3,7,1,8,2]=>0010101=>1
[6,3,2,8,5,4,1,7]=>1101110=>6
[4,3,1,5,2,8,6,7]=>1101010=>7
[8,5,4,1,3,2,6,7]=>1110100=>7
[3,8,4,1,5,2,6,7]=>0110100=>4
[2,5,4,3,8,1,6,7]=>0110100=>4
[2,5,7,4,3,1,6,8]=>0011100=>3
[5,3,4,2,7,1,6,8]=>1010100=>7
[3,7,5,4,1,2,6,8]=>0111000=>4
[4,2,5,1,3,8,7,6]=>1010011=>5
[4,3,5,1,2,7,6,8]=>1010010=>6
[5,3,4,1,7,2,6,8]=>1010100=>7
[4,1,6,3,5,2,7,8]=>1010100=>7
[4,2,1,8,6,3,7,5]=>1101101=>5
[3,1,7,2,5,6,4,8]=>1010010=>6
[3,7,5,4,2,1,6,8]=>0111100=>3
[3,7,2,4,1,6,5,8]=>0101010=>4
[7,3,2,1,6,4,5,8]=>1110100=>7
[2,8,6,1,7,4,3,5]=>0110110=>3
[2,5,4,6,1,3,7,8]=>0101000=>5
[2,5,6,4,1,3,7,8]=>0011000=>4
[8,5,2,6,1,3,7,4]=>1101001=>6
[7,1,5,6,3,2,4,8]=>1001100=>6
[7,1,2,5,4,6,3,8]=>1001010=>5
[2,4,1,6,5,3,7,8]=>0101100=>3
[4,1,2,7,5,6,3,8]=>1001010=>5
[7,1,2,6,5,4,3,8]=>1001110=>4
[8,2,1,5,6,3,7,4]=>1100101=>6
[6,1,4,5,3,2,7,8]=>1001100=>6
[3,1,6,5,4,2,7,8]=>1011100=>5
[3,1,4,6,5,2,7,8]=>1001100=>6
[6,4,1,5,3,2,8,7]=>1101101=>5
[2,1,8,6,3,7,5,4]=>1011011=>3
[5,8,3,1,7,6,4,2]=>0110111=>1
[7,6,3,2,8,5,1,4]=>1110110=>7
[5,6,3,8,7,4,1,2]=>0101110=>2
[5,2,6,8,7,4,1,3]=>1001110=>4
[6,3,8,5,4,1,2,7]=>1011100=>5
[6,3,8,4,5,1,2,7]=>1010100=>7
[5,2,3,1,4,8,6,7]=>1010010=>6
[5,4,1,3,2,8,6,7]=>1101010=>7
[5,1,3,4,2,8,6,7]=>1001010=>5
[5,2,1,4,3,8,6,7]=>1101010=>7
[4,2,7,3,8,5,1,6]=>1010110=>5
[4,7,3,2,8,5,1,6]=>0110110=>3
[4,3,7,2,8,5,6,1]=>1010101=>4
[5,3,1,2,4,8,6,7]=>1100010=>7
[5,4,3,1,2,8,6,7]=>1110010=>7
[5,3,4,1,2,8,6,7]=>1010010=>6
[5,2,3,4,1,8,6,7]=>1001010=>5
[5,1,7,3,4,6,8,2]=>1010001=>6
[5,8,7,4,3,1,6,2]=>0111101=>2
[6,8,1,3,4,5,7,2]=>0100001=>4
[3,5,2,8,1,6,7,4]=>0101001=>3
[3,1,7,8,2,5,4,6]=>1001010=>5
[6,2,3,7,4,1,8,5]=>1001101=>4
[6,3,7,4,1,2,5,8]=>1011000=>6
[3,7,2,8,6,5,1,4]=>0101110=>2
[3,6,7,5,1,2,4,8]=>0011000=>4
[7,4,5,1,8,2,3,6]=>1010100=>7
[7,2,3,1,8,4,5,6]=>1010100=>7
[2,1,4,8,3,7,5,6]=>1001010=>5
[4,8,1,6,7,3,2,5]=>0100110=>3
[1,2,7,8,4,3,6,5]=>0001101=>1
[5,8,1,4,3,2,7,6]=>0101101=>2
[4,8,1,3,5,6,2,7]=>0100010=>4
[5,3,7,8,4,2,6,1]=>1001101=>4
[6,3,7,8,2,4,5,1]=>1001001=>5
[8,5,2,4,3,1,7,6]=>1101101=>5
[7,5,4,2,3,1,8,6]=>1110101=>6
[3,5,6,4,8,1,7,2]=>0010101=>1
[3,5,4,6,7,1,8,2]=>0100101=>2
[1,4,2,6,5,8,7,3]=>0101011=>1
[1,3,2,6,4,8,7,5]=>0101011=>1
[1,4,2,5,3,8,7,6]=>0101011=>1
[1,5,2,6,4,8,7,3]=>0101011=>1
[1,6,2,5,3,8,7,4]=>0101011=>1
[2,5,1,4,3,8,7,6]=>0101011=>1
[1,7,3,5,4,8,6,2]=>0101011=>1
[1,8,2,6,3,7,5,4]=>0101011=>1
[1,8,3,6,4,7,5,2]=>0101011=>1
[1,7,2,6,4,8,5,3]=>0101011=>1
[1,7,2,6,3,8,5,4]=>0101011=>1
[1,5,2,7,4,8,6,3]=>0101011=>1
[1,4,2,8,5,7,6,3]=>0101011=>1
[4,8,1,3,2,6,5,7]=>0101010=>4
[1,5,3,8,4,7,6,2]=>0101011=>1
[1,8,4,7,3,6,5,2]=>0101011=>1
[2,6,3,8,1,5,4,7]=>0101010=>4
[8,3,1,4,2,6,5,7]=>1101010=>7
[4,8,7,3,5,2,1,6]=>0110110=>3
[6,8,7,3,5,2,4,1]=>0110101=>3
[8,3,5,1,2,6,4,7]=>1010010=>6
[8,6,3,1,5,4,2,7]=>1110110=>7
[8,6,4,1,5,3,2,7]=>1110110=>7
[8,6,5,4,1,3,2,7]=>1111010=>7
[5,3,8,7,4,6,2,1]=>1011011=>3
[2,3,8,7,4,6,1,5]=>0011010=>2
[8,3,5,7,4,1,2,6]=>1001100=>6
[4,8,5,3,1,2,7,6]=>0111001=>3
[6,8,7,3,1,5,4,2]=>0111011=>2
[6,8,5,4,1,3,7,2]=>0111001=>3
[2,5,8,7,4,6,3,1]=>0011011=>1
[4,8,7,6,5,1,3,2]=>0111101=>2
[3,8,7,5,1,6,2,4]=>0111010=>3
[2,3,8,7,5,6,1,4]=>0011010=>2
[2,8,7,1,3,6,4,5]=>0110010=>4
[8,5,4,7,2,1,3,6]=>1101100=>7
[6,8,7,3,5,2,1,4]=>0110110=>3
[3,5,8,6,4,2,7,1]=>0011101=>1
[6,8,4,1,5,2,7,3]=>0110101=>3
[6,8,2,1,7,5,3,4]=>0110110=>3
[5,8,4,6,1,2,7,3]=>0101001=>3
[2,4,8,6,5,1,7,3]=>0011101=>1
[4,8,7,6,5,2,1,3]=>0111110=>2
[4,8,7,5,1,6,2,3]=>0111010=>3
[4,5,2,1,8,6,7,3]=>0110101=>3
[4,5,8,3,1,6,7,2]=>0011001=>2
[5,7,2,8,4,6,1,3]=>0101010=>4
[6,7,3,2,4,8,5,1]=>0110011=>2
[7,2,8,6,4,5,1,3]=>1011010=>6
[8,7,2,6,5,1,3,4]=>1101100=>7
[5,2,7,8,4,1,3,6]=>1001100=>6
[2,7,8,6,4,1,3,5]=>0011100=>3
[7,6,3,5,2,8,4,1]=>1101011=>5
[6,2,7,4,8,5,3,1]=>1010111=>3
[8,6,5,1,7,2,4,3]=>1110101=>6
[6,8,5,1,7,3,2,4]=>0110110=>3
[1,6,8,3,7,4,2,5]=>0010110=>2
[5,1,6,3,4,8,2,7]=>1010010=>6
[3,5,2,6,4,8,1,7]=>0101010=>4
[3,5,2,4,8,1,7,6]=>0100101=>2
[6,3,8,2,4,1,7,5]=>1010101=>4
[4,6,3,8,7,5,2,1]=>0101111=>1
[6,3,8,7,5,4,2,1]=>1011111=>2
[6,8,4,2,1,7,5,3]=>0111011=>2
[5,2,6,4,3,8,1,7]=>1011010=>6
[6,5,3,1,4,8,2,7]=>1110010=>7
[3,1,7,8,6,4,2,5]=>1001110=>4
[3,8,1,7,6,2,5,4]=>0101101=>2
[8,1,7,6,4,2,5,3]=>1011101=>4
[7,2,6,3,8,5,4,1]=>1010111=>3
[7,3,8,6,4,1,5,2]=>1011101=>4
[1,7,5,8,2,4,3,6]=>0101010=>4
[6,1,5,2,4,8,3,7]=>1010010=>6
[1,5,6,3,8,2,4,7]=>0010100=>3
[8,7,1,3,6,5,2,4]=>1100110=>6
[2,6,7,4,3,8,5,1]=>0011011=>1
[5,2,4,7,3,8,6,1]=>1001011=>4
[1,5,8,7,2,4,6,3]=>0011001=>2
[1,4,8,7,3,6,5,2]=>0011011=>1
[8,3,7,2,5,1,6,4]=>1010101=>4
[3,7,2,8,1,5,4,6]=>0101010=>4
[3,2,6,1,5,8,4,7]=>1010010=>6
[7,2,1,5,8,4,3,6]=>1100110=>6
[7,2,8,1,4,3,6,5]=>1010101=>4
[1,7,8,3,2,6,5,4]=>0011011=>1
[1,7,4,8,3,2,6,5]=>0101101=>2
[1,7,5,4,8,3,2,6]=>0110110=>3
[6,1,5,4,3,8,2,7]=>1011010=>6
[1,7,4,5,6,8,2,3]=>0100010=>4
[1,3,4,5,6,7,9,8,2]=>00000011=>1
[2,3,4,5,6,7,9,8,1,10]=>000000110=>2
[7,3,4,5,6,8,1,2,9]=>10000100=>7
[2,3,4,5,7,6,8,1,9]=>00001010=>2
[1,8,4,5,6,7,9,2,3]=>01000010=>5
[1,3,4,5,6,8,7,9,2]=>00000101=>1
[1,3,4,5,6,7,8,10,9,2]=>000000011=>1
[1,6,4,2,3,5,7,8]=>0110000=>5
[1,8,7,2,3,4,5,6]=>0110000=>5
[1,5,8,6,2,3,4,7]=>0011000=>4
[1,6,5,7,2,3,4,8]=>0101000=>5
[1,7,5,6,2,3,4,8]=>0101000=>5
[1,3,2,7,6,4,5,8]=>0101100=>3
[1,2,3,7,6,4,5,8]=>0001100=>3
[1,5,4,2,3,7,6,8]=>0110010=>4
[1,5,4,2,3,8,6,7]=>0110010=>4
[1,3,2,8,6,4,5,7]=>0101100=>3
[1,7,5,8,2,3,4,6]=>0101000=>5
[1,8,7,5,2,3,4,6]=>0111000=>4
[2,1,5,8,6,3,7,4]=>1001101=>4
[2,5,8,4,6,1,7,3]=>0010101=>1
[2,5,3,8,6,1,7,4]=>0101101=>2
[2,6,3,5,8,1,7,4]=>0100101=>2
[6,3,2,5,8,1,7,4]=>1100101=>6
[5,3,2,8,6,1,7,4]=>1101101=>5
[5,8,4,6,1,3,7,2]=>0101001=>3
[5,3,8,6,1,4,7,2]=>1011001=>5
[2,6,5,4,8,1,7,3]=>0110101=>3
[8,3,5,7,2,6,4,1]=>1001011=>4
[2,4,6,8,5,3,7,1]=>0001101=>1
[2,4,8,1,7,6,5,3]=>0010111=>1
[4,3,8,1,5,7,6,2]=>1010011=>5
[3,8,4,1,5,7,6,2]=>0110011=>2
[4,3,6,8,5,2,7,1]=>1001101=>4
[8,5,4,7,2,6,3,1]=>1101011=>5
[3,6,8,5,4,2,7,1]=>0011101=>1
[3,6,4,8,5,2,7,1]=>0101101=>2
[3,6,4,1,8,2,7,5]=>0110101=>3
[3,6,4,1,5,2,8,7]=>0110101=>3
[4,8,6,5,1,3,7,2]=>0111001=>3
[2,8,3,5,6,7,1,4]=>0100010=>4
[5,6,2,4,7,1,8,3]=>0100101=>2
[2,7,5,4,6,1,8,3]=>0110101=>3
[2,3,7,4,6,1,8,5]=>0010101=>1
[2,6,7,4,1,3,8,5]=>0011001=>2
[6,5,7,4,1,3,8,2]=>1011001=>5
[2,4,6,3,5,7,8,1]=>0010001=>2
[4,1,6,3,5,7,8,2]=>1010001=>6
[3,6,4,2,5,7,8,1]=>0110001=>4
[2,3,6,1,5,7,8,4]=>0010001=>2
[4,3,6,2,5,7,8,1]=>1010001=>6
[4,6,1,2,5,7,8,3]=>0100001=>4
[2,6,4,1,5,7,8,3]=>0110001=>4
[2,4,1,6,5,7,8,3]=>0101001=>3
[7,5,4,2,6,1,8,3]=>1110101=>6
[4,7,3,1,8,6,5,2]=>0110111=>1
[5,6,4,2,7,1,8,3]=>0110101=>3
[4,2,7,5,3,1,8,6]=>1011101=>4
[5,3,6,4,8,2,1,7]=>1010110=>5
[7,3,2,5,4,1,8,6]=>1101101=>5
[7,3,2,5,1,8,6,4]=>1101011=>5
[4,6,3,8,7,2,1,5]=>0101110=>2
[4,7,6,3,8,2,1,5]=>0110110=>3
[4,7,3,8,6,2,1,5]=>0101110=>2
[5,7,3,2,6,1,8,4]=>0110101=>3
[5,7,3,2,6,4,1,8]=>0110110=>3
[2,7,5,3,1,8,6,4]=>0111011=>2
[7,5,2,8,4,3,1,6]=>1101110=>6
[7,3,2,4,1,8,6,5]=>1101011=>5
[8,4,3,2,7,5,1,6]=>1110110=>7
[4,3,7,5,8,2,1,6]=>1010110=>5
[8,4,5,3,7,2,1,6]=>1010110=>5
[4,3,5,2,8,6,1,7]=>1010110=>5
[4,5,3,6,8,2,1,7]=>0100110=>3
[1,2,3,4,5,9,7,8,6]=>00000101=>1
[1,2,3,4,9,6,7,8,5]=>00001001=>1
[1,2,3,9,5,6,7,8,4]=>00010001=>2
[1,2,9,4,5,6,7,8,3]=>00100001=>3
[1,2,3,4,5,6,10,8,9,7]=>000000101=>1
[1,2,3,4,9,7,6,8,5]=>00001101=>1
[1,2,3,4,5,10,7,8,9,6]=>000001001=>1
[1,2,8,6,4,5,7,3]=>0011001=>2
[1,2,3,9,6,5,7,8,4]=>00011001=>1
[1,2,3,4,10,6,7,8,9,5]=>000010001=>1
[1,8,5,3,4,6,7,2]=>0110001=>4
[1,2,9,5,4,6,7,8,3]=>00110001=>3
[1,2,3,10,5,6,7,8,9,4]=>000100001=>2
[1,9,4,3,5,6,7,8,2]=>01100001=>5
[1,2,10,4,5,6,7,8,9,3]=>001000001=>4
[9,3,2,4,5,6,7,8,1]=>11000001=>7
[10,2,3,4,5,6,7,8,9,1]=>100000001=>8
[3,5,6,7,8,9,4,2,1]=>00000111=>1
[7,8,4,1,6,3,5,2]=>0110101=>3
[8,7,5,6,1,3,4,2]=>1101001=>6
[1,2,3,5,7,4,6,9,8]=>00001001=>1
[1,2,3,6,4,7,5,9,8]=>00010101=>1
[1,2,3,4,6,8,5,7,10,9]=>000001001=>1
[1,2,3,4,6,8,5,7,9]=>00000100=>3
[1,2,3,4,7,5,8,6,9]=>00001010=>2
[1,2,3,4,7,5,8,6,10,9]=>000010101=>1
[1,2,3,5,7,4,6,9,8,10]=>000010010=>2
[1,2,5,7,3,4,6,9,8]=>00010001=>2
[1,2,4,5,7,3,6,9,8]=>00001001=>1
[1,2,6,3,4,7,5,9,8]=>00100101=>1
[1,2,5,6,3,7,4,9,8]=>00010101=>1
[1,2,3,6,4,7,5,9,8,10]=>000101010=>2
[3,2,6,4,1,8,5,7]=>1011010=>6
[2,8,6,5,3,1,4,7]=>0111100=>3
[5,4,8,6,2,3,1,7]=>1011010=>6
[4,8,7,5,2,3,1,6]=>0111010=>3
[5,2,4,7,6,8,3,1]=>1001011=>4
[3,4,2,8,7,5,1,6]=>0101110=>2
[8,5,7,6,3,2,4,1]=>1011101=>4
[6,4,1,8,7,3,2,5]=>1101110=>6
[1,8,5,4,2,7,3,6]=>0111010=>3
[3,6,5,8,2,7,4,1]=>0101011=>1
[8,3,2,7,4,6,5,1]=>1101011=>5
[7,5,8,4,1,3,6,2]=>1011001=>5
[7,1,6,2,3,8,4,5]=>1010010=>6
[6,4,7,1,3,2,8,5]=>1010101=>4
[5,1,3,8,7,2,6,4]=>1001101=>4
[8,7,1,6,2,5,3,4]=>1101010=>7
[3,8,5,2,4,7,6,1]=>0110011=>2
[7,1,5,2,4,8,3,6]=>1010010=>6
[3,8,5,1,4,7,2,6]=>0110010=>4
[7,2,5,4,1,3,8,6]=>1011001=>5
[7,5,8,1,6,3,2,4]=>1010110=>5
[7,1,4,8,5,6,2,3]=>1001010=>5
[2,3,1,9,4,5,6,7,8]=>01010000=>6
[4,9,1,2,3,5,6,7,8]=>01000000=>7
[3,9,1,2,4,5,6,7,8]=>01000000=>7
[1,8,2,3,4,5,6,7,9]=>01000000=>7
[7,4,6,1,3,2,5,8]=>1010100=>7
[1,4,5,8,6,3,2,7]=>0001110=>2
[8,4,5,7,2,6,1,3]=>1001010=>5
[4,5,2,6,7,3,1,8]=>0100110=>3
[8,1,7,5,3,6,2,4]=>1011010=>6
[5,2,8,3,6,1,4,7]=>1010100=>7
[5,2,6,3,1,7,8,4]=>1011001=>5
[4,3,5,1,6,7,8,2]=>1010001=>6
[5,7,6,1,2,3,8,4]=>0110001=>4
[3,6,7,5,1,2,8,4]=>0011001=>2
[1,7,6,8,5,2,4,3]=>0101101=>2
[5,7,6,8,1,2,4,3]=>0101001=>3
[5,6,3,7,1,4,8,2]=>0101001=>3
[5,3,2,1,8,6,4,7]=>1110110=>7
[9,8,7,5,6,4,3,2,1]=>11101111=>4
[2,1,9,8,6,7,5,4,3]=>10110111=>3
[10,9,8,7,5,6,4,3,2,1]=>111101111=>5
[9,8,7,5,4,6,3,2,1]=>11110111=>5
[9,8,7,4,6,5,3,2,1]=>11101111=>4
[2,1,9,8,6,5,7,4,3]=>10111011=>4
[2,1,9,8,5,7,6,4,3]=>10110111=>3
[2,1,10,9,8,6,7,5,4,3]=>101110111=>3
[1,8,7,6,5,4,3,2,9]=>01111110=>2
[1,9,8,7,6,5,4,3,2,10]=>011111110=>2
[2,1,8,7,6,5,4,3,9]=>10111110=>4
[2,8,9,7,6,5,4,3,1]=>00111111=>1
[7,8,6,1,4,5,2,3]=>0110010=>4
[1,8,5,4,6,7,2,3]=>0110010=>4
[6,5,8,3,7,2,1,4]=>1010110=>5
[7,8,5,3,6,2,1,4]=>0110110=>3
[7,8,5,3,6,2,4,1]=>0110101=>3
[7,8,4,3,2,6,5,1]=>0111011=>2
[1,8,4,3,2,6,7,5]=>0111001=>3
[5,4,3,8,2,1,7,6]=>1101101=>5
[6,4,8,3,2,1,7,5]=>1011101=>4
[1,8,4,3,2,7,6,5]=>0111011=>2
[6,5,8,3,1,2,7,4]=>1011001=>5
[1,8,6,7,3,2,4,5]=>0101100=>3
[7,8,6,1,3,2,4,5]=>0110100=>4
[1,8,4,3,2,7,5,6]=>0111010=>3
[5,4,3,8,2,1,6,7]=>1101100=>7
[1,8,4,3,2,5,7,6]=>0111001=>3
[5,4,3,8,2,6,7,1]=>1101001=>6
[4,5,6,7,8,1,2,9,3]=>00001001=>1
[4,5,6,7,1,2,8,9,3]=>00010001=>2
[4,5,6,1,2,7,8,9,3]=>00100001=>3
[4,5,1,2,6,7,8,9,3]=>01000001=>5
[6,4,2,3,5,1,8,7]=>1100101=>6
[5,2,3,6,1,4,8,7]=>1001001=>5
[5,2,3,8,6,4,7,1]=>1001101=>4
[5,2,3,7,4,8,1,6]=>1001010=>5
[8,6,3,2,5,4,7,1]=>1110101=>6
[7,2,3,4,5,8,1,6]=>1000010=>6
[7,2,8,1,5,3,4,6]=>1010100=>7
[3,8,6,4,7,2,5,1]=>0110101=>3
[2,1,8,6,4,5,7,3]=>1011001=>5
[4,8,2,5,7,3,1,6]=>0100110=>3
[5,8,2,3,4,7,1,6]=>0100010=>4
[6,3,4,7,8,2,1,5]=>1000110=>5
[3,8,5,1,4,7,6,2]=>0110011=>2
[4,8,5,1,3,6,7,2]=>0110001=>4
[4,6,8,5,2,7,3,1]=>0011011=>1
[3,7,8,5,2,6,4,1]=>0011011=>1
[3,8,6,2,7,4,5,1]=>0110101=>3
[8,5,4,7,1,3,6,2]=>1101001=>6
[7,3,6,2,8,1,5,4]=>1010101=>4
[8,1,5,2,3,7,6,4]=>1010011=>5
[6,4,2,3,7,8,5,1]=>1100011=>5
[8,4,2,3,6,7,1,5]=>1100010=>7
[4,5,8,3,7,2,1,6]=>0010110=>2
[3,7,2,8,4,5,1,6]=>0101010=>4
[3,5,1,8,4,6,2,7]=>0101010=>4
[4,2,1,5,6,8,3,7]=>1100010=>7
[4,1,2,6,5,8,3,7]=>1001010=>5
[4,1,8,3,2,6,7,5]=>1011001=>5
[4,2,7,5,8,1,3,6]=>1010100=>7
[4,6,2,7,8,3,1,5]=>0100110=>3
[4,6,1,3,8,2,5,7]=>0100100=>5
[4,3,6,2,1,8,7,5]=>1011011=>3
[3,7,4,5,1,6,2,8]=>0101010=>4
[3,6,4,5,8,2,1,7]=>0100110=>3
[6,1,4,5,2,8,7,3]=>1001011=>4
[7,2,4,5,1,6,3,8]=>1001010=>5
[7,5,4,1,6,3,2,8]=>1110110=>7
[1,5,4,8,6,3,2,7]=>0101110=>2
[7,5,4,8,6,3,1,2]=>1101110=>6
[1,8,7,5,3,6,4,2]=>0111011=>2
[8,3,7,4,1,6,2,5]=>1011010=>6
[8,5,4,1,6,3,2,7]=>1110110=>7
[1,7,4,2,6,5,3,8]=>0110110=>3
[8,2,1,5,6,7,3,4]=>1100010=>7
[6,3,1,8,4,7,2,5]=>1101010=>7
[7,1,4,8,6,3,2,5]=>1001110=>4
[4,1,8,5,6,7,2,3]=>1010010=>6
[5,7,4,8,6,2,1,3]=>0101110=>2
[5,3,6,8,2,7,1,4]=>1001010=>5
[6,3,7,4,8,2,1,5]=>1010110=>5
[5,3,6,1,4,7,2,8]=>1010010=>6
[4,3,6,8,2,7,1,5]=>1001010=>5
[5,3,7,4,8,2,1,6]=>1010110=>5
[5,3,8,4,1,6,2,7]=>1011010=>6
[5,3,8,1,4,7,2,6]=>1010010=>6
[5,8,4,1,6,3,2,7]=>0110110=>3
[7,3,8,4,1,6,2,5]=>1011010=>6
[1,5,8,3,6,7,4,2]=>0010011=>1
[1,8,2,5,6,7,3,4]=>0100010=>4
[7,8,4,1,6,5,2,3]=>0110110=>3
[6,3,8,1,5,7,2,4]=>1010010=>6
[8,3,1,2,5,7,4,6]=>1100010=>7
[8,1,4,2,6,5,3,7]=>1010110=>5
[7,8,1,2,3,4,5,9,6]=>01000001=>5
[2,8,9,1,3,4,5,6,7]=>00100000=>6
[2,8,9,10,1,3,4,5,6,7]=>000100000=>6
[7,1,8,2,9,3,4,5,6]=>10101000=>8
[6,1,7,2,8,3,9,4,5]=>10101010=>8
[5,1,6,2,7,3,8,4,9]=>10101010=>8
[8,1,9,2,10,3,4,5,6,7]=>101010000=>9
[7,1,8,2,3,9,4,5,6]=>10100100=>8
[7,1,8,2,9,3,10,4,5,6]=>101010100=>9
[6,1,7,2,8,3,4,9,5]=>10101001=>7
[5,1,6,2,7,3,9,4,8]=>10101010=>8
[5,1,6,2,7,3,8,4,10,9]=>101010101=>5
[4,1,5,2,7,3,8,6,9]=>10101010=>8
[4,1,5,2,6,3,8,7,10,9]=>101010101=>5
[5,1,3,7,4,8,2,6]=>1001010=>5
[5,1,3,4,7,8,2,6]=>1000010=>6
[2,5,8,7,4,3,6,1]=>0011101=>1
[5,1,7,8,3,4,2,6]=>1001010=>5
[2,5,4,8,3,7,6,1]=>0101011=>1
[5,6,8,2,3,4,1,7]=>0010010=>3
[2,3,5,7,4,6,8,1]=>0001001=>1
[3,7,4,5,8,1,2,6]=>0100100=>5
[3,7,8,1,4,5,2,6]=>0010010=>3
[5,8,2,1,6,3,4,7]=>0110100=>4
[4,8,1,3,7,5,2,6]=>0100110=>3
[2,4,7,8,5,3,6,1]=>0001101=>1
[5,3,1,4,7,2,8,6]=>1100101=>6
[4,3,8,5,1,2,7,6]=>1011001=>5
[2,4,7,5,8,3,6,1]=>0010101=>1
[4,3,5,8,2,1,7,6]=>1001101=>4
[4,8,5,7,3,1,2,6]=>0101100=>3
[4,8,7,5,1,3,2,6]=>0111010=>3
[4,2,8,5,1,3,6,7]=>1011000=>6
[3,7,8,4,1,5,2,6]=>0011010=>2
[3,4,7,5,8,2,1,6]=>0010110=>2
[1,8,5,7,2,4,3,6]=>0101010=>4
[1,8,5,4,2,3,6,7]=>0111000=>4
[1,3,6,8,5,4,2,7]=>0001110=>2
[1,6,3,8,2,7,4,5]=>0101010=>4
[1,8,2,3,6,7,5,4]=>0100011=>3
[1,3,6,8,2,7,5,4]=>0001011=>1
[1,6,5,4,3,8,2,7]=>0111010=>3
[1,8,3,4,5,6,2,7]=>0100010=>4
[1,8,3,6,2,4,5,7]=>0101000=>5
[1,4,5,8,3,6,2,7]=>0001010=>2
[1,2,7,8,4,5,3,6]=>0001010=>2
[7,2,8,5,6,3,4,1]=>1010101=>4
[7,6,3,8,5,4,2,1]=>1101111=>3
[6,2,8,7,5,4,1,3]=>1011110=>4
[6,2,8,4,3,7,1,5]=>1011010=>6
[5,2,8,4,3,1,7,6]=>1011101=>4
[1,5,7,3,6,2,8,4]=>0010101=>1
[1,2,5,4,8,3,7,6]=>0010101=>1
[1,4,3,6,8,7,2,5]=>0100110=>3
[3,2,5,7,6,8,1,4]=>1001010=>5
[5,3,2,6,8,4,7,1]=>1100101=>6
[3,1,8,6,4,7,2,5]=>1011010=>6
[3,1,6,8,5,4,2,7]=>1001110=>4
[5,3,2,8,7,6,4,1]=>1101111=>3
[5,3,8,2,7,6,1,4]=>1010110=>5
[6,5,4,8,3,7,2,1]=>1101011=>5
[4,8,5,1,3,7,2,6]=>0110010=>4
[4,3,8,7,2,6,5,1]=>1011011=>3
[2,7,5,1,8,4,6,3]=>0110101=>3
[7,8,5,2,1,6,4,3]=>0111011=>2
[7,6,4,8,1,2,5,3]=>1101001=>6
[7,5,4,8,3,2,6,1]=>1101101=>5
[8,6,4,7,3,2,1,5]=>1101110=>6
[3,8,5,6,2,7,1,4]=>0101010=>4
[2,4,5,8,7,3,1,6]=>0001110=>2
[2,4,5,8,6,7,1,3]=>0001010=>2
[4,3,1,5,6,2,8,7]=>1100101=>6
[4,1,5,8,6,7,2,3]=>1001010=>5
[4,3,7,6,1,2,8,5]=>1011001=>5
[4,7,5,6,1,2,8,3]=>0101001=>3
[4,3,7,5,6,2,8,1]=>1010101=>4
[4,5,1,8,6,7,3,2]=>0101011=>1
[3,4,5,8,6,7,2,1]=>0001011=>1
[2,1,5,8,6,7,4,3]=>1001011=>4
[3,4,5,8,7,1,2,6]=>0001100=>3
[4,7,1,5,6,2,8,3]=>0100101=>2
[2,6,4,7,1,3,8,5]=>0101001=>3
[5,3,8,6,4,7,2,1]=>1011011=>3
[6,4,1,5,7,8,3,2]=>1100011=>5
[3,6,4,7,2,1,8,5]=>0101101=>2
[3,8,4,6,1,7,2,5]=>0101010=>4
[3,8,5,6,4,7,2,1]=>0101011=>1
[3,8,4,5,6,7,2,1]=>0100011=>3
[3,8,6,5,2,7,4,1]=>0111011=>2
[3,8,7,5,2,1,4,6]=>0111100=>3
[3,8,6,5,1,7,2,4]=>0111010=>3
[6,4,1,7,3,2,8,5]=>1101101=>5
[5,1,4,6,7,2,8,3]=>1000101=>5
[6,5,4,7,1,3,8,2]=>1101001=>6
[2,1,6,5,3,7,8,4]=>1011001=>5
[6,1,4,7,2,3,8,5]=>1001001=>5
[2,1,3,4,5,6,8,9,7]=>10000001=>7
[2,1,3,4,5,6,7,9,8]=>10000001=>7
[2,1,3,4,5,6,7,9,10,8]=>100000001=>8
[2,3,1,4,5,6,8,9,7]=>01000001=>5
[1,3,2,4,5,6,8,9,7]=>01000001=>5
[2,3,1,4,5,6,7,9,8]=>01000001=>5
[1,3,2,4,5,6,7,9,8]=>01000001=>5
[2,1,3,4,5,6,7,8,10,9]=>100000001=>8
[1,6,2,5,4,8,3,7]=>0101010=>4
[4,1,2,7,5,8,3,6]=>1001010=>5
[6,1,3,5,8,2,4,7]=>1000100=>6
[5,6,4,3,1,8,2,7]=>0111010=>3
[6,2,3,5,8,1,4,7]=>1000100=>6
[6,7,2,3,8,4,5,1]=>0100101=>2
[6,7,2,1,3,8,4,5]=>0110010=>4
[5,7,4,1,8,3,2,6]=>0110110=>3
[4,1,7,5,8,3,6,2]=>1010101=>4
[6,7,1,3,8,4,5,2]=>0100101=>2
[1,6,7,4,3,8,5,2]=>0011011=>1
[6,1,7,4,2,8,5,3]=>1011011=>3
[2,1,6,7,4,3,8,5]=>1001101=>4
[6,7,3,2,1,8,4,5]=>0111010=>3
[2,5,7,3,1,4,8,6]=>0011001=>2
[6,7,3,2,8,4,5,1]=>0110101=>3
[1,2,6,7,4,3,8,5]=>0001101=>1
[2,7,1,8,4,6,3,5]=>0101010=>4
[2,7,5,8,1,6,3,4]=>0101010=>4
[6,7,1,8,4,5,3,2]=>0101011=>1
[8,3,7,6,1,2,5,4]=>1011001=>5
[8,7,3,4,6,2,5,1]=>1100101=>6
[8,2,5,7,1,4,6,3]=>1001001=>5
[8,2,4,7,1,5,6,3]=>1001001=>5
[8,2,3,4,7,1,5,6]=>1000100=>6
[8,7,3,5,6,2,4,1]=>1100101=>6
[8,7,4,6,5,2,3,1]=>1101101=>5
[8,4,6,7,5,1,2,3]=>1001100=>6
[8,4,6,7,5,1,3,2]=>1001101=>4
[8,3,5,7,6,1,4,2]=>1001101=>4
[8,7,3,6,2,1,5,4]=>1101101=>5
[8,7,3,4,6,2,1,5]=>1100110=>6
[8,7,4,6,5,2,1,3]=>1101110=>6
[8,6,5,2,7,4,3,1]=>1110111=>4
[8,4,3,7,6,5,1,2]=>1101110=>6
[8,5,6,7,4,1,3,2]=>1001101=>4
[8,5,7,6,4,1,2,3]=>1011100=>5
[8,4,2,7,5,1,6,3]=>1101101=>5
[8,3,4,2,7,5,6,1]=>1010101=>4
[8,4,7,6,5,1,2,3]=>1011100=>5
[8,3,5,2,7,4,6,1]=>1010101=>4
[8,5,2,6,7,4,1,3]=>1100110=>6
[8,5,3,7,6,4,1,2]=>1101110=>6
[8,6,2,5,7,3,1,4]=>1100110=>6
[8,6,2,4,7,3,1,5]=>1100110=>6
[8,5,2,3,7,4,1,6]=>1100110=>6
[8,5,3,2,7,6,4,1]=>1110111=>4
[8,6,1,5,4,3,2,7]=>1101110=>6
[2,4,5,8,3,1,6,7]=>0001100=>3
[2,7,4,6,1,5,8,3]=>0101001=>3
[2,4,3,8,5,1,6,7]=>0101100=>3
[7,8,3,2,5,4,6,1]=>0110101=>3
[1,5,6,7,3,8,2,4]=>0001010=>2
[1,6,5,4,8,3,2,7]=>0110110=>3
[1,7,3,5,8,4,6,2]=>0100101=>2
[7,2,1,6,4,8,5,3]=>1101011=>5
[7,5,8,3,2,4,6,1]=>1011001=>5
[3,8,7,2,4,6,5,1]=>0110011=>2
[1,3,7,6,4,8,5,2]=>0011011=>1
[3,1,8,7,6,4,2,5]=>1011110=>4
[3,1,8,7,5,4,2,6]=>1011110=>4
[3,1,7,6,5,4,2,8]=>1011110=>4
[4,7,1,6,5,3,2,8]=>0101110=>2
[4,8,1,6,5,3,2,7]=>0101110=>2
[8,4,1,7,6,3,2,5]=>1101110=>6
[5,4,1,8,6,3,2,7]=>1101110=>6
[5,4,1,7,6,3,2,8]=>1101110=>6
[6,4,1,8,5,3,2,7]=>1101110=>6
[8,4,1,7,5,3,2,6]=>1101110=>6
[7,4,1,6,5,3,2,8]=>1101110=>6
[7,5,6,1,4,3,2,8]=>1010110=>5
[8,5,6,1,4,3,2,7]=>1010110=>5
[8,5,7,1,4,3,2,6]=>1010110=>5
[5,7,6,1,4,3,2,8]=>0110110=>3
[5,8,6,1,4,3,2,7]=>0110110=>3
[6,7,5,1,4,3,2,8]=>0110110=>3
[8,7,5,1,4,3,2,6]=>1110110=>7
[8,6,5,1,4,3,2,7]=>1110110=>7
[8,6,1,7,2,5,3,4]=>1101010=>7
[1,8,6,3,4,2,5,7]=>0110100=>4
[3,1,6,4,5,2,7,8]=>1010100=>7
[3,1,6,4,5,8,2,7]=>1010010=>6
[3,1,6,4,5,7,2,8]=>1010010=>6
[7,6,3,8,4,5,2,1]=>1101011=>5
[8,2,7,6,1,4,3,5]=>1011010=>6
[5,2,7,8,1,4,3,6]=>1001010=>5
[5,6,3,8,4,1,2,7]=>0101100=>3
[8,2,7,6,1,4,5,3]=>1011001=>5
[5,2,3,4,7,1,6,8]=>1000100=>6
[5,2,3,7,1,6,8,4]=>1001001=>5
[8,7,5,3,1,6,4,2]=>1111011=>5
[1,4,7,8,5,2,3,6]=>0001100=>3
[5,8,3,7,6,4,1,2]=>0101110=>2
[6,5,1,7,2,4,8,3]=>1101001=>6
[3,6,7,1,4,2,5,8]=>0010100=>3
[4,7,5,8,2,1,3,6]=>0101100=>3
[8,1,2,7,5,4,3,6]=>1001110=>4
[6,5,1,8,3,7,2,4]=>1101010=>7
[1,8,7,5,3,2,6,4]=>0111101=>2
[7,8,1,5,4,2,3,6]=>0101100=>3
[2,7,5,1,4,6,3,8]=>0110010=>4
[3,4,6,8,1,5,7,2]=>0001001=>1
[6,8,1,7,5,4,2,3]=>0101110=>2
[7,6,3,1,2,8,5,4]=>1110011=>5
[5,2,6,7,4,8,1,3]=>1001010=>5
[1,7,5,2,6,4,8,3]=>0110101=>3
[7,1,3,6,8,2,4,5]=>1000100=>6
[1,2,5,7,8,4,6,3]=>0000101=>1
[3,1,2,7,5,4,8,6]=>1001101=>4
[6,7,4,1,3,2,8,5]=>0110101=>3
[1,7,2,8,4,3,5,6]=>0101100=>3
[1,6,3,5,7,8,2,4]=>0100010=>4
[8,6,1,7,5,2,4,3]=>1101101=>5
[7,6,4,1,8,3,2,5]=>1110110=>7
[8,4,1,6,5,2,7,3]=>1101101=>5
[1,5,3,4,7,8,2,6]=>0100010=>4
[4,2,1,5,7,8,3,6]=>1100010=>7
[5,4,1,6,7,8,2,3]=>1100010=>7
[5,1,4,6,7,8,2,3]=>1000010=>6
[4,1,5,3,7,8,2,6]=>1010010=>6
[8,1,4,6,5,2,7,3]=>1001101=>4
[7,1,5,4,6,3,2,8]=>1010110=>5
[8,2,1,6,7,5,4,3]=>1100111=>4
[1,2,4,7,6,3,8,5]=>0001101=>1
[6,7,4,1,8,5,2,3]=>0110110=>3
[8,6,4,1,5,7,3,2]=>1110011=>5
[5,2,4,3,7,1,6,8]=>1010100=>7
[6,1,5,4,8,3,2,7]=>1010110=>5
[1,2,8,7,4,3,6,5]=>0011101=>1
[3,2,1,7,5,8,4,6]=>1101010=>7
[1,3,6,4,7,8,2,5]=>0010010=>3
[4,5,1,3,7,8,2,6]=>0100010=>4
[5,2,3,1,7,8,4,6]=>1010010=>6
[1,6,4,3,7,8,2,5]=>0110010=>4
[7,6,4,3,1,5,2,8]=>1111010=>7
[7,5,4,6,1,3,2,8]=>1101010=>7
[8,4,6,5,1,2,7,3]=>1011001=>5
[1,5,6,3,7,8,2,4]=>0010010=>3
[7,1,2,3,4,5,8,9,10,6]=>100000001=>8
[6,7,1,2,3,4,8,9,5]=>01000001=>5
[6,1,2,3,4,7,8,9,10,5]=>100000001=>8
[5,1,2,3,6,7,8,9,10,4]=>100000001=>8
[6,8,3,5,7,2,4,1]=>0100101=>2
[1,5,2,4,3,8,7,6]=>0101011=>1
[8,6,5,7,2,1,4,3]=>1101101=>5
[1,6,3,8,4,5,7,2]=>0101001=>3
[7,5,4,2,6,3,8,1]=>1110101=>6
[7,8,6,5,4,3,2,9,1]=>01111101=>2
[9,7,6,5,4,3,1,2,8]=>11111100=>8
[2,4,3,5,6,7,8,9,1]=>01000001=>5
[2,3,8,4,7,5,6,1]=>0010101=>1
[3,7,2,8,6,4,5,1]=>0101101=>2
[6,3,7,5,8,2,4,1]=>1010101=>4
[4,3,7,8,6,2,5,1]=>1001101=>4
[3,8,1,7,5,2,4,6]=>0101100=>3
[2,4,7,8,6,1,5,3]=>0001101=>1
[2,4,8,5,1,7,3,6]=>0011010=>2
[2,8,3,5,1,6,4,7]=>0101010=>4
[8,2,4,6,3,7,5,1]=>1001011=>4
[4,5,3,8,2,1,7,6]=>0101101=>2
[4,8,3,2,5,1,6,7]=>0110100=>4
[5,2,7,1,3,8,6,4]=>1010011=>5
[4,5,6,7,8,9,2,1,3]=>00000110=>2
[5,6,7,8,9,2,1,3,4]=>00001100=>3
[6,7,8,9,2,1,3,4,5]=>00011000=>4
[7,8,9,2,1,3,4,5,6]=>00110000=>5
[8,9,2,1,3,4,5,6,7]=>01100000=>6
[1,4,6,2,7,5,3,8]=>0010110=>2
[8,2,7,5,1,4,6,3]=>1011001=>5
[1,7,4,6,8,3,5,2]=>0100101=>2
[8,2,1,4,5,6,7,3]=>1100001=>6
[7,3,1,2,5,6,4,8]=>1100010=>7
[7,2,4,1,5,8,6,3]=>1010011=>5
[7,8,2,1,5,4,6,3]=>0110101=>3
[1,4,2,8,6,5,3,7]=>0101110=>2
[1,4,8,5,2,6,3,7]=>0011010=>2
[1,5,2,4,6,3,8,7]=>0100101=>2
[1,8,5,3,2,6,4,7]=>0111010=>3
[6,4,1,3,2,5,8,7]=>1101001=>6
[5,2,3,7,8,1,6,4]=>1000101=>5
[5,2,8,6,3,1,7,4]=>1011101=>4
[6,2,3,5,1,8,7,4]=>1001011=>4
[7,6,3,4,2,8,1,5]=>1101010=>7
[6,2,4,5,7,8,1,3]=>1000010=>6
[8,6,3,2,5,7,1,4]=>1110010=>7
[6,2,5,3,7,1,8,4]=>1010101=>4
[8,5,3,6,7,2,1,4]=>1100110=>6
[4,5,7,8,6,2,1,3]=>0001110=>2
[1,2,8,4,3,6,7,5]=>0011001=>2
[1,8,3,2,4,6,7,5]=>0110001=>4
[1,2,7,5,3,4,6,8]=>0011000=>4
[1,2,7,4,5,3,8,6]=>0010101=>1
[1,7,3,2,6,8,4,5]=>0110010=>4
[8,2,7,1,4,3,5,6]=>1010100=>7
[7,2,1,3,6,8,4,5]=>1100010=>7
[6,2,1,7,8,3,4,5]=>1100100=>7
[3,5,8,6,1,4,2,7]=>0011010=>2
[1,8,4,2,7,6,3,5]=>0110110=>3
[8,7,2,6,5,4,3,1]=>1101111=>3
[7,3,8,1,6,5,4,2]=>1010111=>3
[7,3,8,2,6,5,4,1]=>1010111=>3
[7,1,3,8,6,5,4,2]=>1001111=>3
[8,1,3,7,6,5,4,2]=>1001111=>3
[2,4,1,8,7,3,6,5]=>0101101=>2
[7,3,8,6,1,5,4,2]=>1011011=>3
[3,5,1,7,8,2,6,4]=>0100101=>2
[5,4,7,8,2,1,6,3]=>1001101=>4
[5,3,6,1,8,4,2,7]=>1010110=>5
[6,3,8,7,1,5,4,2]=>1011011=>3
[8,6,4,7,1,5,3,2]=>1101011=>5
[3,4,6,2,1,8,5,7]=>0011010=>2
[4,5,7,2,1,6,3,8]=>0011010=>2
[5,6,4,8,3,2,1,7]=>0101110=>2
[5,7,4,8,2,1,6,3]=>0101101=>2
[4,7,5,8,2,1,6,3]=>0101101=>2
[5,7,4,2,6,3,8,1]=>0110101=>3
[5,7,4,1,6,2,8,3]=>0110101=>3
[6,8,7,3,1,4,2,5]=>0111010=>3
[8,5,6,1,7,3,2,4]=>1010110=>5
[4,5,1,6,7,8,3,2]=>0100011=>3
[4,5,2,6,1,3,8,7]=>0101001=>3
[8,4,6,7,2,5,1,3]=>1001010=>5
[3,4,6,7,2,5,8,1]=>0001001=>1
[7,1,4,6,8,3,5,2]=>1000101=>5
[6,7,1,2,4,8,5,3]=>0100011=>3
[1,6,3,4,7,8,5,2]=>0100011=>3
[2,3,6,4,7,5,8,1]=>0010101=>1
[7,8,1,3,4,5,6,2]=>0100001=>4
[1,8,2,6,7,3,4,5]=>0100100=>5
[4,7,3,2,8,1,5,6]=>0110100=>4
[7,1,2,6,3,8,5,4]=>1001011=>4
[8,1,2,6,3,7,5,4]=>1001011=>4
[8,1,2,7,6,3,5,4]=>1001101=>4
[4,8,7,3,1,6,2,5]=>0111010=>3
[4,7,8,3,1,6,2,5]=>0011010=>2
[7,4,3,1,6,2,8,5]=>1110101=>6
[7,4,3,1,8,6,2,5]=>1110110=>7
[3,7,6,2,4,8,1,5]=>0110010=>4
[4,3,7,2,8,6,1,5]=>1010110=>5
[6,1,2,7,4,3,8,5]=>1001101=>4
[5,1,2,6,3,8,7,4]=>1001011=>4
[5,1,2,7,3,8,6,4]=>1001011=>4
[6,1,2,7,3,5,8,4]=>1001001=>5
[8,3,6,2,1,7,4,5]=>1011010=>6
[6,1,2,8,3,5,7,4]=>1001001=>5
[7,5,3,2,1,8,6,4]=>1111011=>5
[4,2,1,5,3,6,7,8]=>1101000=>7
[8,6,4,3,2,1,9,7,5]=>11111011=>6
[7,5,4,3,2,1,8,6,9]=>11111010=>8
[8,6,4,2,1,9,7,5,3]=>11110111=>5
[7,5,3,2,1,8,6,4,9]=>11110110=>8
[7,4,3,2,1,8,5,9,6]=>11110101=>7
[6,4,3,2,1,7,5,8,9]=>11110100=>8
[7,5,3,1,8,6,4,2,9]=>11101110=>8
[7,4,2,1,8,5,3,9,6]=>11101101=>7
[6,4,2,1,7,5,3,8,9]=>11101100=>8
[6,3,2,1,7,4,8,5,9]=>11101010=>8
[5,3,2,1,6,4,7,8,9]=>11101000=>8
[7,4,1,8,5,2,9,6,3]=>11011011=>5
[6,3,1,7,4,2,8,5,9]=>11011010=>8
[5,3,1,6,4,2,7,8,9]=>11011000=>8
[6,2,1,7,3,8,4,9,5]=>11010101=>7
[5,2,1,6,3,7,4,8,9]=>11010100=>8
[4,2,1,5,3,6,7,8,9]=>11010000=>8
[4,1,5,2,6,3,7,8,9]=>10101000=>8
[3,1,4,2,5,6,7,8,9]=>10100000=>8
[9,7,5,4,3,2,1,10,8,6]=>111111011=>7
[8,6,5,4,3,2,1,9,7,10]=>111111010=>9
[9,7,5,3,2,1,10,8,6,4]=>111110111=>6
[8,6,4,3,2,1,9,7,5,10]=>111110110=>9
[8,5,4,3,2,1,9,6,10,7]=>111110101=>8
[7,5,4,3,2,1,8,6,9,10]=>111110100=>9
[8,6,4,2,1,9,7,5,3,10]=>111101110=>9
[8,5,3,2,1,9,6,4,10,7]=>111101101=>8
[7,5,3,2,1,8,6,4,9,10]=>111101100=>9
[7,4,3,2,1,8,5,9,6,10]=>111101010=>9
[6,4,3,2,1,7,5,8,9,10]=>111101000=>9
[8,5,3,1,9,6,4,2,10,7]=>111011101=>7
[7,5,3,1,8,6,4,2,9,10]=>111011100=>9
[8,5,2,1,9,6,3,10,7,4]=>111011011=>7
[7,4,2,1,8,5,3,9,6,10]=>111011010=>9
[6,4,2,1,7,5,3,8,9,10]=>111011000=>9
[7,3,2,1,8,4,9,5,10,6]=>111010101=>8
[6,3,2,1,7,4,8,5,9,10]=>111010100=>9
[5,3,2,1,6,4,7,8,9,10]=>111010000=>9
[7,4,1,8,5,2,9,6,3,10]=>110110110=>9
[7,3,1,8,4,2,9,5,10,6]=>110110101=>8
[6,3,1,7,4,2,8,5,9,10]=>110110100=>9
[5,3,1,6,4,2,7,8,9,10]=>110110000=>9
[6,2,1,7,3,8,4,9,5,10]=>110101010=>9
[5,2,1,6,3,7,4,8,9,10]=>110101000=>9
[4,2,1,5,3,6,7,8,9,10]=>110100000=>9
[5,1,6,2,7,3,8,4,9,10]=>101010100=>9
[4,1,5,2,6,3,7,8,9,10]=>101010000=>9
[3,1,4,2,5,6,7,8,9,10]=>101000000=>9
[6,2,5,4,1,8,7,3]=>1011011=>3
[4,6,3,2,1,8,7,5]=>0111011=>2
[6,5,3,2,1,8,7,4]=>1111011=>5
[8,4,3,2,7,6,1,5]=>1110110=>7
[1,5,8,4,7,6,3,2]=>0010111=>1
[3,2,7,4,8,6,1,5]=>1010110=>5
[7,4,3,2,8,6,1,5]=>1110110=>7
[6,8,3,7,5,2,1,4]=>0101110=>2
[5,7,8,4,3,2,1,6]=>0011110=>2
[6,4,3,8,5,2,1,7]=>1101110=>6
[8,2,5,4,7,6,1,3]=>1010110=>5
[7,2,5,4,8,6,1,3]=>1010110=>5
[4,5,3,2,8,6,1,7]=>0110110=>3
[3,2,5,4,8,6,1,7]=>1010110=>5
[3,2,8,6,5,4,1,7]=>1011110=>4
[8,4,3,6,5,2,1,7]=>1101110=>6
[8,4,3,7,5,2,1,6]=>1101110=>6
[3,2,7,8,5,4,1,6]=>1001110=>4
[6,8,7,4,3,2,1,5]=>0111110=>2
[3,6,1,4,8,7,2,5]=>0100110=>3
[5,8,1,3,7,2,6,4]=>0100101=>2
[4,7,5,1,8,2,6,3]=>0110101=>3
[6,3,2,1,8,7,4,5]=>1110110=>7
[6,2,3,1,8,7,4,5]=>1010110=>5
[3,4,7,1,8,5,6,2]=>0010101=>1
[7,2,5,1,8,3,6,4]=>1010101=>4
[7,2,1,5,8,4,6,3]=>1100101=>6
[4,2,8,1,7,5,6,3]=>1010101=>4
[8,3,6,4,1,7,5,2]=>1011011=>3
[7,3,1,5,2,8,6,4]=>1101011=>5
[7,1,6,4,2,8,5,3]=>1011011=>3
[3,7,4,1,5,8,6,2]=>0110011=>2
[5,8,6,1,2,7,4,3]=>0110011=>2
[6,8,1,4,3,7,5,2]=>0101011=>1
[6,7,1,4,3,8,5,2]=>0101011=>1
[4,7,1,5,3,8,6,2]=>0101011=>1
[6,8,1,2,4,7,5,3]=>0100011=>3
[7,1,6,4,8,3,5,2]=>1010101=>4
[8,6,4,1,3,7,5,2]=>1110011=>5
[8,5,3,6,1,7,4,2]=>1101011=>5
[7,2,1,4,5,8,6,3]=>1100011=>5
[8,5,6,1,2,7,4,3]=>1010011=>5
[8,6,2,5,4,7,3,1]=>1101011=>5
[8,5,7,3,2,4,6,1]=>1011001=>5
[8,5,2,1,4,3,6,7]=>1110100=>7
[2,8,4,1,3,6,7,5]=>0110001=>4
[8,1,2,4,5,6,7,3]=>1000001=>6
[6,1,4,3,2,7,8,5]=>1011001=>5
[1,8,3,6,7,2,4,5]=>0100100=>5
[1,2,8,3,7,4,6,5]=>0010101=>1
[1,9,2,3,4,5,6,7,8,10]=>010000000=>8
[1,7,2,3,4,5,6,8,9]=>01000000=>7
[8,2,6,5,4,3,1,7]=>1011110=>4
[8,2,7,6,4,5,3,1]=>1011011=>3
[8,7,3,5,4,2,6,1]=>1101101=>5
[12,10,9,8,7,6,5,4,3,2,1,11]=>11111111110=>11
[4,6,7,2,1,8,3,5]=>0011010=>2
[3,7,1,8,2,5,4,6]=>0101010=>4
[4,5,8,6,1,3,7,2]=>0011001=>2
[4,5,8,6,2,7,3,1]=>0011011=>1
[4,6,7,1,5,3,8,2]=>0010101=>1
[4,6,7,2,1,8,5,3]=>0011011=>1
[4,2,5,6,7,8,3,1]=>1000011=>5
[4,1,3,5,6,7,8,2]=>1000001=>6
[3,7,8,4,5,1,6,2]=>0010101=>1
[4,6,8,3,2,7,1,5]=>0011010=>2
[4,6,8,2,3,7,1,5]=>0010010=>3
[3,8,1,7,4,5,2,6]=>0101010=>4
[4,5,8,3,7,1,2,6]=>0010100=>3
[3,7,8,4,6,2,5,1]=>0010101=>1
[3,6,1,5,7,8,2,4]=>0100010=>4
[3,8,2,5,4,7,1,6]=>0101010=>4
[3,8,6,2,5,1,7,4]=>0110101=>3
[4,5,8,6,2,1,7,3]=>0011101=>1
[4,5,8,6,1,2,7,3]=>0011001=>2
[4,6,8,5,2,7,1,3]=>0011010=>2
[3,7,8,5,2,6,1,4]=>0011010=>2
[3,7,8,5,4,1,6,2]=>0011101=>1
[4,6,8,5,3,1,7,2]=>0011101=>1
[7,8,2,3,5,4,1,6]=>0100110=>3
[5,1,3,7,6,4,8,2]=>1001101=>4
[4,6,5,2,7,8,1,3]=>0110010=>4
[1,6,5,2,3,4,8,7]=>0110001=>4
[4,6,5,1,7,3,8,2]=>0110101=>3
[5,7,3,1,2,4,8,6]=>0110001=>4
[6,3,2,5,1,7,4,8]=>1101010=>7
[6,1,2,4,8,5,3,7]=>1000110=>5
[6,3,1,7,2,5,8,4]=>1101001=>6
[3,7,2,8,5,1,4,6]=>0101100=>3
[3,6,5,2,4,7,1,8]=>0110010=>4
[3,6,5,8,1,7,2,4]=>0101010=>4
[1,2,3,4,5,6,8,7,9]=>00000010=>2
[1,2,3,4,5,6,7,9,8,10]=>000000010=>2
[1,2,3,4,5,7,6,8,9]=>00000100=>3
[9,2,3,4,5,6,7,1,8]=>10000010=>7
[5,2,7,3,4,6,1,8]=>1010010=>6
[1,3,5,8,6,4,7,2]=>0001101=>1
[1,3,5,8,6,7,2,4]=>0001010=>2
[6,1,7,4,8,5,3,2]=>1010111=>3
[5,7,4,1,3,6,8,2]=>0110001=>4
[7,4,3,1,6,5,8,2]=>1110101=>6
[7,8,1,4,6,5,3,2]=>0100111=>2
[7,8,6,1,4,5,3,2]=>0110011=>2
[6,2,7,3,8,5,4,1]=>1010111=>3
[1,2,7,5,3,4,8,6]=>0011001=>2
[7,2,8,3,6,4,5,1]=>1010101=>4
[6,2,7,8,3,1,4,5]=>1001100=>6
[1,7,8,2,5,3,4,6]=>0010100=>3
[3,7,8,1,2,5,6,4]=>0010001=>2
[1,2,8,7,3,4,6,5]=>0011001=>2
[8,2,7,4,5,1,6,3]=>1010101=>4
[3,8,1,5,7,2,6,4]=>0100101=>2
[7,5,4,8,6,1,2,3]=>1101100=>7
[7,1,8,6,4,5,2,3]=>1011010=>6
[8,7,5,1,4,3,6,2]=>1110101=>6
[1,5,7,8,3,4,2,6]=>0001010=>2
[6,8,4,3,1,7,2,5]=>0111010=>3
[8,4,1,3,7,5,6,2]=>1100101=>6
[4,8,1,3,7,5,6,2]=>0100101=>2
[1,8,5,7,4,2,3,6]=>0101100=>3
[2,1,6,8,5,3,4,7]=>1001100=>6
[4,5,1,3,8,6,7,2]=>0100101=>2
[1,2,6,8,5,3,4,7]=>0001100=>3
[5,6,8,7,3,1,2,4]=>0011100=>3
[6,7,5,3,8,1,2,4]=>0110100=>4
[6,8,5,7,3,1,2,4]=>0101100=>3
[5,7,8,6,3,1,2,4]=>0011100=>3
[5,1,4,2,6,8,7,3]=>1010011=>5
[6,3,2,4,7,1,8,5]=>1100101=>6
[1,5,6,8,4,2,3,7]=>0001100=>3
[5,7,8,3,6,1,2,4]=>0010100=>3
[1,5,8,6,2,4,3,7]=>0011010=>2
[1,5,3,7,2,6,8,4]=>0101001=>3
[5,1,8,6,2,4,3,7]=>1011010=>6
[5,8,6,3,7,1,2,4]=>0110100=>4
[1,5,2,4,8,6,7,3]=>0100101=>2
[1,5,4,2,6,8,7,3]=>0110011=>2
[5,7,6,3,8,1,2,4]=>0110100=>4
[5,7,6,8,3,1,2,4]=>0101100=>3
[6,8,7,5,3,1,2,4]=>0111100=>3
[1,2,5,3,6,8,7,4]=>0010011=>1
[6,8,7,2,1,5,3,4]=>0111010=>3
[7,3,6,1,4,8,2,5]=>1010010=>6
[7,8,1,6,5,3,4,2]=>0101101=>2
[8,7,3,2,1,4,6,5]=>1111001=>6
[8,3,5,1,7,4,2,6]=>1010110=>5
[3,5,6,8,4,2,7,1]=>0001101=>1
[5,8,2,6,4,3,7,1]=>0101101=>2
[2,8,6,3,4,1,7,5]=>0110101=>3
[1,7,2,3,5,8,6,4]=>0100011=>3
[4,6,2,3,5,1,7,8]=>0100100=>5
[2,8,3,7,5,1,6,4]=>0101101=>2
[6,4,8,7,2,1,5,3]=>1011101=>4
[1,8,2,3,7,5,6,4]=>0100101=>2
[2,8,4,3,6,7,1,5]=>0110010=>4
[7,3,2,5,6,1,8,4]=>1100101=>6
[1,6,7,8,2,4,3,5]=>0001010=>2
[4,1,2,8,5,3,7,6]=>1001101=>4
[3,8,4,2,5,1,7,6]=>0110101=>3
[1,8,5,6,4,3,2,7]=>0101110=>2
[2,8,3,5,6,4,1,7]=>0100110=>3
[4,1,5,7,6,8,2,3]=>1001010=>5
[7,6,8,3,2,5,1,4]=>1011010=>6
[2,7,8,1,6,4,5,3]=>0010101=>1
[2,7,1,4,5,3,8,6]=>0100101=>2
[1,5,2,7,4,3,6,8]=>0101100=>3
[5,1,3,8,4,6,2,7]=>1001010=>5
[6,5,8,7,1,3,2,4]=>1011010=>6
[2,7,3,5,1,6,8,4]=>0101001=>3
[5,7,6,8,2,1,4,3]=>0101101=>2
[1,3,6,5,2,7,4,8]=>0011010=>2
[1,2,6,5,3,4,7,8]=>0011000=>4
[1,7,2,5,6,8,3,4]=>0100010=>4
[1,7,2,4,8,3,5,6]=>0100100=>5
[1,6,2,4,5,3,7,8]=>0100100=>5
[1,3,2,8,4,5,7,6]=>0101001=>3
[1,6,8,2,4,3,5,7]=>0010100=>3
[1,6,7,2,5,3,4,8]=>0010100=>3
[1,2,8,3,6,7,4,5]=>0010010=>3
[1,7,2,5,3,4,8,6]=>0101001=>3
[10,3,4,5,6,7,8,9,1,2]=>100000010=>8
[9,3,4,5,6,7,8,1,10,2]=>100000101=>7
[8,3,4,5,6,7,1,9,10,2]=>100001001=>7
[7,3,4,5,6,1,8,9,10,2]=>100010001=>7
[6,3,4,5,1,7,8,9,10,2]=>100100001=>8
[5,3,4,1,6,7,8,9,10,2]=>101000001=>8
[4,3,1,5,6,7,8,9,10,2]=>110000001=>8
[11,3,4,5,6,7,8,9,10,1,2]=>1000000010=>9
[10,9,4,5,6,7,8,1,2,3]=>110000100=>9
[10,3,8,5,6,7,1,9,2,4]=>101001010=>7
[10,3,4,7,6,1,8,9,2,5]=>100110010=>7
[10,3,4,5,1,7,8,9,2,6]=>100100010=>8
[5,3,4,1,6,10,8,9,2,7]=>101001010=>7
[4,3,1,5,6,7,10,9,2,8]=>110000110=>8
[3,1,4,5,6,7,8,10,2,9]=>100000010=>8
[7,1,5,6,2,3,8,4]=>1001001=>5
[8,2,1,4,6,7,3,5]=>1100010=>7
[7,2,6,1,3,4,8,5]=>1010001=>6
[4,1,3,7,2,5,8,6]=>1001001=>5
[6,2,7,5,1,3,8,4]=>1011001=>5
[1,7,5,6,2,3,8,4]=>0101001=>3
[3,7,6,1,2,4,8,5]=>0110001=>4
[8,6,1,3,5,7,2,4]=>1100010=>7
[1,7,4,3,8,2,5,6]=>0110100=>4
[6,1,5,3,4,8,2,7]=>1010010=>6
[3,6,7,5,2,8,1,4]=>0011010=>2
[7,8,4,1,5,6,2,3]=>0110010=>4
[5,8,1,3,6,7,2,4]=>0100010=>4
[2,8,4,3,7,1,5,6]=>0110100=>4
[3,8,4,6,7,1,2,5]=>0100100=>5
[6,3,8,4,7,1,2,5]=>1010100=>7
[1,2,5,4,8,3,6,7]=>0010100=>3
[7,1,3,8,2,4,5,6]=>1001000=>7
[8,1,3,7,2,4,5,6]=>1001000=>7
[3,5,4,7,8,1,2,6]=>0100100=>5
[8,3,1,4,7,2,5,6]=>1100100=>7
[1,6,4,7,8,2,3,5]=>0100100=>5
[5,2,3,6,7,8,1,4]=>1000010=>6
[6,2,7,3,8,5,1,4]=>1010110=>5
[1,3,7,8,5,6,2,4]=>0001010=>2
[8,2,6,7,5,1,3,4]=>1001100=>6
[8,1,7,4,6,2,3,5]=>1010100=>7
[2,5,8,4,7,1,3,6]=>0010100=>3
[4,5,8,7,1,2,3,6]=>0011000=>4
[4,1,8,5,7,2,3,6]=>1010100=>7
[1,8,7,4,6,2,3,5]=>0110100=>4
[2,6,5,4,1,8,3,7]=>0111010=>3
[6,2,5,1,4,8,3,7]=>1010010=>6
[6,5,4,1,3,8,2,7]=>1110010=>7
[6,3,5,4,2,8,1,7]=>1011010=>6
[1,3,8,7,4,2,6,5]=>0011101=>1
[8,7,4,3,1,5,2,6]=>1111010=>7
[8,2,5,1,4,6,7,3]=>1010001=>6
[3,8,4,5,1,6,7,2]=>0101001=>3
[8,5,4,1,3,6,7,2]=>1110001=>6
[8,3,1,7,5,6,4,2]=>1101011=>5
[8,4,7,6,5,3,1,2]=>1011110=>4
[8,1,4,5,7,6,3,2]=>1000111=>4
[2,4,1,8,5,7,6,3]=>0101011=>1
[8,2,1,4,7,6,3,5]=>1100110=>6
[8,3,1,7,4,2,6,5]=>1101101=>5
[8,2,7,3,1,6,5,4]=>1011011=>3
[1,8,4,2,3,7,6,5]=>0110011=>2
[3,1,2,8,7,4,6,5]=>1001101=>4
[8,5,1,2,4,3,7,6]=>1100101=>6
[2,8,3,7,4,1,6,5]=>0101101=>2
[8,4,5,7,6,2,3,1]=>1001101=>4
[2,3,1,8,7,6,4,5]=>0101110=>2
[4,2,8,7,3,1,5,6]=>1011100=>5
[1,3,4,8,7,2,5,6]=>0001100=>3
[8,1,3,4,6,7,2,5]=>1000010=>6
[3,4,8,2,6,7,1,5]=>0010010=>3
[3,6,8,2,5,1,7,4]=>0010101=>1
[3,8,2,5,7,4,6,1]=>0100101=>2
[8,4,2,1,7,5,6,3]=>1110101=>6
[8,2,7,5,6,4,1,3]=>1010110=>5
[6,2,8,5,4,1,7,3]=>1011101=>4
[6,8,5,4,1,7,2,3]=>0111010=>3
[2,8,1,5,7,6,3,4]=>0100110=>3
[3,1,8,2,7,5,6,4]=>1010101=>4
[8,5,7,1,6,4,2,3]=>1010110=>5
[2,8,4,7,3,6,5,1]=>0101011=>1
[8,4,7,2,1,6,5,3]=>1011011=>3
[1,8,4,7,6,5,2,3]=>0101110=>2
[3,5,8,1,7,4,6,2]=>0010101=>1
[8,4,7,1,3,6,5,2]=>1010011=>5
[8,2,3,4,5,6,9,1,7]=>10000010=>7
[8,2,3,9,5,6,7,1,4]=>10010010=>6
[8,2,9,4,5,6,7,1,3]=>10100010=>7
[8,9,3,4,5,6,7,1,2]=>01000010=>5
[9,2,3,4,5,6,7,10,1,8]=>100000010=>8
[4,2,3,1,9,8,7,6,5]=>10101111=>3
[3,2,1,9,8,6,7,5,4]=>11011011=>5
[9,2,10,4,5,6,7,8,1,3]=>101000010=>8
[2,3,4,7,6,8,1,5]=>0001010=>2
[3,8,1,2,5,6,4,7]=>0100010=>4
[8,5,2,1,4,6,7,3]=>1110001=>6
[4,8,1,6,5,2,7,3]=>0101101=>2
[4,2,6,3,8,5,7,1]=>1010101=>4
[4,5,2,6,7,1,8,3]=>0100101=>2
[2,7,4,1,6,3,5,8]=>0110100=>4
[8,3,5,4,2,7,1,6]=>1011010=>6
[2,8,6,4,7,3,1,5]=>0110110=>3
[3,1,8,6,5,2,7,4]=>1011101=>4
[8,3,1,5,2,6,7,4]=>1101001=>6
[3,8,2,4,1,5,7,6]=>0101001=>3
[5,8,3,2,4,1,7,6]=>0110101=>3
[6,5,3,2,4,8,1,7]=>1110010=>7
[5,2,4,6,1,3,8,7]=>1001001=>5
[7,2,3,4,6,8,1,5]=>1000010=>6
[8,3,4,6,7,5,1,2]=>1000110=>5
[6,8,3,4,7,5,2,1]=>0100111=>2
[5,8,6,1,3,4,7,2]=>0110001=>4
[4,8,1,5,7,6,3,2]=>0100111=>2
[3,7,4,6,8,2,5,1]=>0100101=>2
[4,7,1,6,8,3,2,5]=>0100110=>3
[4,5,2,8,1,7,3,6]=>0101010=>4
[3,7,5,2,8,6,1,4]=>0110110=>3
[4,8,5,2,6,7,1,3]=>0110010=>4
[5,4,8,6,1,2,7,3]=>1011001=>5
[8,4,6,5,2,7,3,1]=>1011011=>3
[8,1,6,4,7,5,2,3]=>1010110=>5
[5,2,7,6,4,8,1,3]=>1011010=>6
[8,6,2,3,5,1,7,4]=>1100101=>6
[8,2,5,7,4,1,3,6]=>1001100=>6
[7,2,4,5,6,8,1,3]=>1000010=>6
[7,1,3,5,6,2,8,4]=>1000101=>5
[7,1,5,8,4,6,3,2]=>1001011=>4
[6,3,8,4,7,1,5,2]=>1010101=>4
[7,1,4,3,2,8,5,6]=>1011010=>6
[5,3,6,1,4,2,8,7]=>1010101=>4
[5,7,2,1,4,3,8,6]=>0110101=>3
[7,1,8,3,5,2,4,6]=>1010100=>7
[7,2,4,8,1,5,6,3]=>1001001=>5
[7,1,8,4,2,5,6,3]=>1011001=>5
[6,4,2,5,8,1,7,3]=>1100101=>6
[2,1,7,5,8,3,6,4]=>1010101=>4
[7,3,8,5,6,2,1,4]=>1010110=>5
[2,7,4,8,1,5,6,3]=>0101001=>3
[7,4,8,3,1,5,6,2]=>1011001=>5
[6,1,5,8,3,7,4,2]=>1001011=>4
[2,6,3,5,8,7,4,1]=>0100111=>2
[8,6,5,3,7,2,1,4]=>1110110=>7
[4,8,5,3,7,2,1,6]=>0110110=>3
[7,4,8,6,5,3,2,1]=>1011111=>2
[7,4,8,5,6,3,1,2]=>1010110=>5
[7,8,4,1,3,5,6,2]=>0110001=>4
[7,8,3,4,1,5,6,2]=>0101001=>3
[7,3,1,8,2,5,6,4]=>1101001=>6
[7,2,3,8,1,5,6,4]=>1001001=>5
[6,4,8,7,3,2,1,5]=>1011110=>4
[2,7,4,8,6,3,1,5]=>0101110=>2
[6,4,8,2,3,1,7,5]=>1010101=>4
[7,2,1,8,3,5,6,4]=>1101001=>6
[5,1,6,3,8,2,4,7]=>1010100=>7
[3,6,5,1,4,8,7,2]=>0110011=>2
[7,3,6,2,8,4,1,5]=>1010110=>5
[6,5,1,8,4,7,2,3]=>1101010=>7
[7,5,4,8,1,6,2,3]=>1101010=>7
[4,3,5,8,7,1,2,6]=>1001100=>6
[3,5,6,8,1,4,2,7]=>0001010=>2
[4,3,5,8,2,1,6,7]=>1001100=>6
[6,4,7,2,3,1,5,8]=>1010100=>7
[6,8,1,5,4,2,7,3]=>0101101=>2
[7,8,6,3,1,4,2,5]=>0111010=>3
[7,8,6,3,5,1,2,4]=>0110100=>4
[7,2,8,5,4,6,3,1]=>1011011=>3
[6,1,8,4,7,2,3,5]=>1010100=>7
[5,6,4,3,7,1,8,2]=>0110101=>3
[6,5,3,7,2,4,8,1]=>1101001=>6
[5,6,2,8,4,3,7,1]=>0101101=>2
[4,1,2,6,8,3,7,5]=>1000101=>5
[7,1,3,6,5,8,4,2]=>1001011=>4
[5,7,4,3,6,8,2,1]=>0110011=>2
[4,6,2,7,8,3,5,1]=>0100101=>2
[5,1,2,4,6,7,8,3]=>1000001=>6
[4,6,3,5,2,8,7,1]=>0101011=>1
[5,6,3,4,8,2,7,1]=>0100101=>2
[5,2,6,4,1,7,8,3]=>1011001=>5
[5,8,4,6,3,2,7,1]=>0101101=>2
[5,4,3,8,6,2,7,1]=>1101101=>5
[5,7,8,2,4,3,6,1]=>0010101=>1
[5,6,2,4,8,3,7,1]=>0100101=>2
[6,4,7,8,2,3,5,1]=>1001001=>5
[3,7,5,2,4,8,1,6]=>0110010=>4
[4,7,5,2,3,8,6,1]=>0110011=>2
[6,4,7,3,2,5,8,1]=>1011001=>5
[5,7,3,2,8,4,6,1]=>0110101=>3
[5,3,7,2,8,4,6,1]=>1010101=>4
[4,3,7,2,5,8,6,1]=>1010011=>5
[4,7,3,2,5,8,6,1]=>0110011=>2
[4,7,3,2,6,8,5,1]=>0110011=>2
[7,5,3,2,6,4,8,1]=>1110101=>6
[8,5,2,6,7,3,4,1]=>1100101=>6
[8,4,2,6,3,7,5,1]=>1101011=>5
[7,4,6,2,3,8,5,1]=>1010011=>5
[7,5,6,2,8,3,4,1]=>1010101=>4
[5,7,6,2,8,3,4,1]=>0110101=>3
[4,7,6,2,3,8,5,1]=>0110011=>2
[7,6,3,2,5,8,1,4]=>1110010=>7
[7,6,4,2,5,8,3,1]=>1110011=>5
[2,10,4,5,6,7,8,9,1,3]=>010000010=>6
[9,8,4,5,6,7,1,2,10,3]=>110001001=>8
[2,10,9,5,6,7,8,1,3,4]=>011000100=>6
[9,3,8,5,6,7,1,2,10,4]=>101001001=>8
[9,7,4,5,6,1,8,2,10,3]=>110010101=>8
[2,10,4,9,6,7,8,1,3,5]=>010100100=>6
[2,10,8,5,6,7,1,9,3,4]=>011001010=>5
[6,3,8,5,4,7,2,1]=>1011011=>3
[1,3,2,4,5,6,7,8,9]=>01000000=>7
[1,4,2,3,5,6,7,8,9]=>01000000=>7
[1,3,2,4,5,6,7,8,9,10]=>010000000=>8
[2,4,6,3,8,7,5,1]=>0010111=>1
[2,4,6,1,8,7,3,5]=>0010110=>2
[2,4,3,6,8,7,1,5]=>0100110=>3
[2,4,6,3,8,7,1,5]=>0010110=>2
[2,4,6,5,8,7,1,3]=>0010110=>2
[2,4,6,8,5,7,3,1]=>0001011=>1
[2,4,6,8,5,7,1,3]=>0001010=>2
[2,4,6,8,3,7,1,5]=>0001010=>2
[2,4,6,8,1,7,3,5]=>0001010=>2
[2,4,6,5,1,8,7,3]=>0011011=>1
[2,4,6,5,8,3,7,1]=>0010101=>1
[2,4,6,5,8,1,7,3]=>0010101=>1
[2,4,6,8,5,1,7,3]=>0001101=>1
[2,4,6,8,7,3,5,1]=>0001101=>1
[2,4,6,8,7,1,5,3]=>0001101=>1
[2,4,6,8,7,1,3,5]=>0001100=>3
[2,4,6,8,5,1,3,7]=>0001100=>3
[2,4,6,5,1,8,3,7]=>0011010=>2
[2,4,6,5,1,3,8,7]=>0011001=>2
[2,4,6,5,3,8,1,7]=>0011010=>2
[2,4,6,5,8,3,1,7]=>0010110=>2
[2,4,6,8,5,3,1,7]=>0001110=>2
[2,4,6,8,7,3,1,5]=>0001110=>2
[2,4,6,8,7,5,1,3]=>0001110=>2
[4,8,7,5,2,1,3,6]=>0111100=>3
[6,1,4,7,5,8,2,3]=>1001010=>5
[1,8,6,5,3,2,7,4]=>0111101=>2
[1,6,3,5,8,2,4,7]=>0100100=>5
[4,6,1,7,8,5,3,2]=>0100111=>2
[6,1,2,7,8,4,5,3]=>1000101=>5
[6,1,3,2,7,8,5,4]=>1010011=>5
[5,6,3,1,7,4,8,2]=>0110101=>3
[4,8,3,7,1,6,5,2]=>0101011=>1
[8,7,2,6,5,1,4,3]=>1101101=>5
[5,8,3,2,1,7,6,4]=>0111011=>2
[5,4,3,8,1,7,6,2]=>1101011=>5
[6,5,3,8,7,1,4,2]=>1101101=>5
[4,3,8,2,7,6,5,1]=>1010111=>3
[4,8,2,7,6,5,3,1]=>0101111=>1
[7,8,2,6,5,4,1,3]=>0101110=>2
[3,8,7,6,2,5,1,4]=>0111010=>3
[4,8,3,7,2,1,6,5]=>0101101=>2
[8,6,3,1,7,5,4,2]=>1110111=>4
[8,6,3,7,1,5,4,2]=>1101011=>5
[4,8,3,7,6,2,5,1]=>0101101=>2
[5,8,2,7,6,4,1,3]=>0101110=>2
[8,4,2,1,7,6,5,3]=>1110111=>4
[1,6,4,2,5,3,7,8]=>0110100=>4
[1,8,6,2,7,3,4,5]=>0110100=>4
[1,6,3,2,4,5,7,8]=>0110000=>5
[1,5,2,6,4,3,7,8]=>0101100=>3
[1,5,2,4,6,3,7,8]=>0100100=>5
[1,8,6,2,3,7,4,5]=>0110010=>4
[1,5,2,8,6,3,4,7]=>0101100=>3
[1,3,6,8,2,7,4,5]=>0001010=>2
[1,4,3,8,2,5,6,7]=>0101000=>5
[1,7,2,3,8,5,4,6]=>0100110=>3
[1,3,8,4,2,5,6,7]=>0011000=>4
[1,6,2,8,5,4,3,7]=>0101110=>2
[1,7,2,3,8,6,4,5]=>0100110=>3
[1,5,3,8,2,7,4,6]=>0101010=>4
[1,4,8,2,5,6,3,7]=>0010010=>3
[1,5,7,3,2,8,4,6]=>0011010=>2
[1,2,7,3,6,8,4,5]=>0010010=>3
[1,7,2,3,6,8,4,5]=>0100010=>4
[1,4,8,3,2,5,6,7]=>0011000=>4
[1,7,2,5,8,3,4,6]=>0100100=>5
[8,2,3,4,5,6,7,9,1]=>10000001=>7
[7,2,3,4,5,6,9,8,1]=>10000011=>6
[6,2,3,4,5,9,7,8,1]=>10000101=>6
[5,2,3,4,9,6,7,8,1]=>10001001=>6
[4,2,3,9,5,6,7,8,1]=>10010001=>7
[3,2,9,4,5,6,7,8,1]=>10100001=>7
[2,9,3,4,5,6,7,8,1]=>01000001=>5
[9,2,3,4,5,6,7,8,10,1]=>100000001=>8
[6,2,3,4,5,1,8,9,7]=>10001001=>6
[8,2,3,4,5,6,7,10,9,1]=>100000011=>7
[5,2,3,4,1,7,9,8,6]=>10010011=>5
[7,2,3,4,5,6,10,8,9,1]=>100000101=>7
[6,2,3,5,8,1,7,4]=>1000101=>5
[4,2,3,1,6,9,7,8,5]=>10100101=>6
[6,2,3,4,5,10,7,8,9,1]=>100001001=>7
[5,2,4,8,1,6,7,3]=>1001001=>5
[3,2,1,5,9,6,7,8,4]=>11001001=>7
[5,2,3,4,10,6,7,8,9,1]=>100010001=>7
[2,1,4,9,5,6,7,8,3]=>10010001=>7
[4,2,3,10,5,6,7,8,9,1]=>100100001=>8
[1,3,9,4,5,6,7,8,2]=>00100001=>3
[3,2,10,4,5,6,7,8,9,1]=>101000001=>8
[2,10,3,4,5,6,7,8,9,1]=>010000001=>6
[2,3,5,6,4,7,8,1,9]=>00010010=>2
[1,3,4,6,7,5,8,9,2]=>00001001=>1
[2,3,4,6,7,5,8,9,1,10]=>000010010=>2
[2,3,6,5,7,4,8,1,9]=>00101010=>2
[2,3,5,6,7,1,8,4,9]=>00001010=>2
[2,6,4,5,7,3,1,8]=>0100110=>3
[2,5,6,3,4,7,1,8]=>0010010=>3
[1,3,7,5,6,8,4,2]=>0010011=>1
[1,3,6,7,4,5,8,2]=>0001001=>1
[1,3,4,7,6,8,5,9,2]=>00010101=>1
[1,3,4,6,7,8,2,9,5]=>00000101=>1
[1,3,4,5,7,8,6,9,10,2]=>000001001=>1
[1,5,6,3,4,2,7,8]=>0010100=>3
[1,5,6,3,4,7,2,8]=>0010010=>3
[1,5,3,6,4,2,7,8]=>0101100=>3
[1,7,5,6,8,3,4,2]=>0100101=>2
[1,7,5,6,3,8,4,2]=>0101011=>1
[1,3,7,5,2,8,6,4]=>0011011=>1
[1,3,7,2,5,8,6,4]=>0010011=>1
[1,5,3,7,4,6,2,8]=>0101010=>4
[1,5,3,7,6,4,2,8]=>0101110=>2
[1,5,3,6,7,4,2,8]=>0100110=>3
[1,5,6,3,7,4,2,8]=>0010110=>2
[1,5,7,6,3,4,8,2]=>0011001=>2
[1,5,7,3,6,4,8,2]=>0010101=>1
[1,3,7,2,5,6,8,4]=>0010001=>2
[1,3,7,5,6,2,8,4]=>0010101=>1
[2,5,7,4,1,3,8,6]=>0011001=>2
[6,7,3,1,8,5,2,4]=>0110110=>3
[6,3,1,5,8,7,2,4]=>1100110=>6
[8,3,5,1,7,6,2,4]=>1010110=>5
[4,6,3,5,8,2,1,7]=>0100110=>3
[2,3,6,4,1,8,7,5]=>0011011=>1
[7,4,5,2,1,8,6,3]=>1011011=>3
[4,7,5,2,1,8,6,3]=>0111011=>2
[8,5,3,6,2,1,7,4]=>1101101=>5
[4,5,7,3,1,2,8,6]=>0011001=>2
[4,5,1,8,3,2,7,6]=>0101101=>2
[5,7,4,6,3,2,1,8]=>0101110=>2
[3,6,1,2,4,8,7,5]=>0100011=>3
[2,5,3,8,4,1,7,6]=>0101101=>2
[8,6,2,3,1,7,5,4]=>1101011=>5
[7,5,2,3,1,8,6,4]=>1101011=>5
[6,3,1,2,4,8,7,5]=>1100011=>5
[4,7,5,2,3,6,1,8]=>0110010=>4
[3,6,8,4,5,1,2,7]=>0010100=>3
[5,2,3,7,6,4,1,8]=>1001110=>4
[6,2,7,3,5,4,1,8]=>1010110=>5
[7,2,6,5,3,4,1,8]=>1011010=>6
[8,2,6,5,4,1,3,7]=>1011100=>5
[6,2,8,4,5,1,3,7]=>1010100=>7
[2,3,1,7,8,5,6,4]=>0100101=>2
[7,2,8,5,1,4,3,6]=>1011010=>6
[8,6,7,1,4,2,3,5]=>1010100=>7
[6,8,7,1,4,3,2,5]=>0110110=>3
[6,8,2,5,3,1,4,7]=>0101100=>3
[3,7,8,5,1,4,2,6]=>0011010=>2
[4,8,7,3,1,2,5,6]=>0111000=>4
[4,8,6,2,3,1,5,7]=>0110100=>4
[3,8,5,4,2,1,6,7]=>0111100=>3
[4,5,3,8,2,1,6,7]=>0101100=>3
[3,7,4,1,8,2,6,5]=>0110101=>3
[3,8,4,1,7,6,2,5]=>0110110=>3
[3,7,2,1,8,4,6,5]=>0110101=>3
[8,7,1,6,5,2,3,4]=>1101100=>7
[8,5,1,2,7,6,3,4]=>1100110=>6
[3,8,2,1,7,6,4,5]=>0110110=>3
[3,5,7,8,2,4,6,1]=>0001001=>1
[7,8,2,5,4,3,6,1]=>0101101=>2
[4,5,3,7,8,2,6,1]=>0100101=>2
[1,5,4,7,3,6,2,8]=>0101010=>4
[1,7,3,6,8,4,5,2]=>0100101=>2
[4,6,8,2,7,3,5,1]=>0010101=>1
[4,7,6,3,5,1,8,2]=>0110101=>3
[7,8,3,6,1,5,4,2]=>0101011=>1
[2,5,7,8,4,6,1,3]=>0001010=>2
[3,7,5,6,2,1,4,8]=>0101100=>3
[6,2,1,7,4,5,3,8]=>1101010=>7
[1,2,6,4,7,5,3,8]=>0010110=>2
[7,5,6,3,8,4,2,1]=>1010111=>3
[8,5,4,2,1,6,7,3]=>1111001=>6
[2,6,8,4,7,5,1,3]=>0010110=>2
[6,7,5,1,4,8,3,2]=>0110011=>2
[7,4,1,6,5,3,8,2]=>1101101=>5
[5,8,2,7,3,6,4,1]=>0101011=>1
[1,6,5,7,3,8,4,2]=>0101011=>1
[1,5,6,8,4,2,7,3]=>0001101=>1
[7,5,4,1,8,2,6,3]=>1110101=>6
[6,4,1,8,2,7,5,3]=>1101011=>5
[7,8,5,3,2,6,1,4]=>0111010=>3
[8,2,5,1,7,6,4,3]=>1010111=>3
[6,7,4,3,8,2,5,1]=>0110101=>3
[3,4,2,7,8,6,1,5]=>0100110=>3
[7,8,6,1,4,3,2,5]=>0110110=>3
[2,4,7,8,6,1,3,5]=>0001100=>3
[3,7,8,6,5,2,4,1]=>0011101=>1
[4,5,2,7,8,6,3,1]=>0100111=>2
[4,6,2,5,3,1,7,8]=>0101100=>3
[4,1,5,6,3,2,7,8]=>1001100=>6
[2,6,7,5,4,1,3,8]=>0011100=>3
[4,1,6,7,5,3,2,8]=>1001110=>4
[6,7,4,3,1,5,2,8]=>0111010=>3
[1,7,5,6,4,3,2,8]=>0101110=>2
[7,6,5,3,1,8,4,2]=>1111011=>5
[7,8,6,4,3,1,5,2]=>0111101=>2
[4,1,7,8,6,5,3,2]=>1001111=>3
[4,5,7,3,8,6,1,2]=>0010110=>2
[6,8,5,3,7,2,1,4]=>0110110=>3
[4,7,1,5,8,2,6,3]=>0100101=>2
[3,7,6,2,1,8,4,5]=>0111010=>3
[2,7,5,8,3,6,4,1]=>0101011=>1
[7,4,8,2,6,5,3,1]=>1010111=>3
[7,5,4,8,2,6,3,1]=>1101011=>5
[4,3,8,1,6,5,2,7]=>1010110=>5
[2,3,6,5,7,8,1,4]=>0010010=>3
[8,3,4,1,2,6,7,5]=>1010001=>6
[7,3,4,8,5,2,1,6]=>1001110=>4
[7,3,8,4,1,5,6,2]=>1011001=>5
[7,2,4,5,1,8,3,6]=>1001010=>5
[7,3,1,2,8,5,6,4]=>1100101=>6
[4,8,2,3,5,7,6,1]=>0100011=>3
[4,5,2,3,8,6,7,1]=>0100101=>2
[6,7,4,8,5,3,2,1]=>0101111=>1
[4,3,5,6,1,7,8,2]=>1001001=>5
[3,5,2,6,4,7,8,1]=>0101001=>3
[4,1,2,8,5,7,6,3]=>1001011=>4
[3,1,5,6,4,7,8,2]=>1001001=>5
[3,1,4,6,7,5,8,2]=>1000101=>5
[2,6,4,5,8,1,3,7]=>0100100=>5
[6,4,1,3,5,8,2,7]=>1100010=>7
[3,4,1,7,2,6,8,5]=>0101001=>3
[2,4,7,5,8,1,3,6]=>0010100=>3
[3,7,6,2,1,5,8,4]=>0111001=>3
[4,2,6,1,3,7,8,5]=>1010001=>6
[8,5,4,2,7,6,3,1]=>1110111=>4
[2,8,4,6,7,1,3,5]=>0100100=>5
[5,8,2,1,4,6,7,3]=>0110001=>4
[8,4,6,1,2,5,7,3]=>1010001=>6
[3,7,8,4,2,6,5,1]=>0011011=>1
[5,6,2,8,7,1,3,4]=>0101100=>3
[7,1,3,8,4,5,6,2]=>1001001=>5
[7,8,1,4,3,5,6,2]=>0101001=>3
[3,6,7,2,8,1,5,4]=>0010101=>1
[2,6,7,1,3,5,8,4]=>0010001=>2
[3,6,7,1,8,2,5,4]=>0010101=>1
[3,4,1,8,7,2,6,5]=>0101101=>2
[3,1,5,7,2,8,6,4]=>1001011=>4
[4,8,1,3,2,7,6,5]=>0101011=>1
[4,1,8,3,2,7,6,5]=>1011011=>3
[3,8,2,4,7,1,6,5]=>0100101=>2
[3,2,4,8,7,1,6,5]=>1001101=>4
[3,2,5,7,1,8,6,4]=>1001011=>4
[4,2,8,3,1,7,6,5]=>1011011=>3
[4,8,2,1,3,7,6,5]=>0110011=>2
[4,2,8,1,3,7,6,5]=>1010011=>5
[2,3,4,6,8,7,1,5]=>0000110=>2
[5,6,4,7,1,2,8,3]=>0101001=>3
[4,6,7,5,8,2,3,1]=>0010101=>1
[4,5,7,1,6,8,3,2]=>0010011=>1
[3,2,7,6,8,1,4,5]=>1010100=>7
[4,5,1,7,6,8,2,3]=>0101010=>4
[6,7,2,8,3,1,4,5]=>0101100=>3
[7,6,3,1,2,8,4,5]=>1110010=>7
[6,2,7,8,4,1,3,5]=>1001100=>6
[7,8,5,2,4,1,3,6]=>0110100=>4
[7,6,2,3,1,8,4,5]=>1101010=>7
[4,2,5,1,3,7,8,6]=>1010001=>6
[3,5,1,4,2,7,8,6]=>0101001=>3
[3,4,1,7,8,5,2,6]=>0100110=>3
[4,1,3,7,8,5,2,6]=>1000110=>5
[4,3,1,8,5,2,7,6]=>1101101=>5
[3,1,8,5,4,2,7,6]=>1011101=>4
[7,6,3,5,8,4,2,1]=>1100111=>4
[4,5,1,3,2,7,8,6]=>0101001=>3
[5,1,3,2,4,7,8,6]=>1010001=>6
[8,3,5,6,1,7,2,4]=>1001010=>5
[4,5,8,1,2,6,7,3]=>0010001=>2
[5,3,6,7,8,2,1,4]=>1000110=>5
[1,3,4,8,6,2,7,5]=>0001101=>1
[7,2,4,1,3,8,5,6]=>1010010=>6
[3,8,2,5,4,1,6,7]=>0101100=>3
[8,4,5,2,6,1,7,3]=>1010101=>4
[4,6,8,2,3,7,5,1]=>0010011=>1
[4,5,7,2,3,6,1,8]=>0010010=>3
[2,7,3,4,1,5,6,8]=>0101000=>5
[6,7,2,3,4,8,1,5]=>0100010=>4
[3,5,2,4,6,7,8,1]=>0100001=>4
[4,2,6,3,5,7,8,1]=>1010001=>6
[2,3,4,5,6,1,8,7,9]=>00001010=>2
[2,3,4,5,1,7,6,8,9]=>00010100=>3
[2,3,4,1,6,5,7,8,9]=>00101000=>4
[2,3,1,5,4,6,7,8,9]=>01010000=>6
[1,4,8,5,6,2,7,3]=>0010101=>1
[2,4,8,5,6,1,7,3]=>0010101=>1
[6,3,5,8,4,7,1,2]=>1001010=>5
[2,8,7,4,5,1,6,3]=>0110101=>3
[1,3,8,5,2,6,7,4]=>0011001=>2
[7,2,8,4,5,1,6,3]=>1010101=>4
[6,2,3,5,1,7,8,4]=>1001001=>5
[8,6,2,4,1,5,7,3]=>1101001=>6
[1,6,4,3,2,7,8,5]=>0111001=>3
[8,5,3,2,1,6,7,4]=>1111001=>6
[1,7,5,2,3,6,8,4]=>0110001=>4
[7,1,5,2,3,6,8,4]=>1010001=>6
[8,1,2,5,3,6,7,4]=>1001001=>5
[8,4,1,6,3,7,2,5]=>1101010=>7
[6,7,5,3,8,2,1,4]=>0110110=>3
[5,2,6,8,3,7,1,4]=>1001010=>5
[4,2,5,8,6,7,1,3]=>1001010=>5
[5,8,6,3,4,1,7,2]=>0110101=>3
[3,7,2,4,1,8,6,5]=>0101011=>1
[2,4,7,8,5,1,3,6]=>0001100=>3
[2,5,3,8,4,1,6,7]=>0101100=>3
[5,7,6,8,1,3,4,2]=>0101001=>3
[3,1,7,4,5,6,2,8]=>1010010=>6
[2,4,8,3,5,7,1,6]=>0010010=>3
[8,1,7,2,4,3,5,6]=>1010100=>7
[1,3,8,2,4,7,5,6]=>0010010=>3
[1,3,7,2,4,6,5,8]=>0010010=>3
[1,7,3,2,4,6,5,8]=>0110010=>4
[1,8,3,7,4,2,5,6]=>0101100=>3
[8,7,3,1,4,2,5,6]=>1110100=>7
[2,8,4,3,5,7,1,6]=>0110010=>4
[3,2,8,7,4,1,5,6]=>1011100=>5
[3,2,1,7,4,6,5,8]=>1101010=>7
[3,2,6,5,1,7,8,4]=>1011001=>5
[5,3,2,6,7,1,8,4]=>1100101=>6
[3,2,8,6,7,4,1,5]=>1010110=>5
[8,4,6,2,7,3,1,5]=>1010110=>5
[4,3,8,6,7,2,1,5]=>1010110=>5
[4,3,6,2,8,7,1,5]=>1010110=>5
[3,8,4,7,6,5,1,2]=>0101110=>2
[7,8,4,2,6,3,5,1]=>0110101=>3
[3,2,7,8,6,4,5,1]=>1001101=>4
[3,2,7,5,6,8,4,1]=>1010011=>5
[5,7,8,6,3,2,4,1]=>0011101=>1
[6,5,4,2,1,7,8,3]=>1111001=>6
[5,4,2,1,7,6,3,8]=>1110110=>7
[4,1,6,5,2,7,8,3]=>1011001=>5
[5,4,1,6,7,2,8,3]=>1100101=>6
[6,8,5,3,1,7,2,4]=>0111010=>3
[5,2,6,3,8,7,1,4]=>1010110=>5
[8,6,1,7,3,4,2,5]=>1101010=>7
[1,8,3,6,7,4,2,5]=>0100110=>3
[1,6,3,5,2,7,8,4]=>0101001=>3
[1,5,7,3,2,6,4,8]=>0011010=>2
[5,1,3,7,2,6,4,8]=>1001010=>5
[8,1,6,7,2,4,3,5]=>1001010=>5
[6,1,4,8,2,7,3,5]=>1001010=>5
[6,2,4,8,3,7,1,5]=>1001010=>5
[8,7,2,6,3,5,1,4]=>1101010=>7
[8,1,7,6,5,2,3,4]=>1011100=>5
[7,1,5,6,8,2,4,3]=>1000101=>5
[6,7,1,5,2,4,8,3]=>0101001=>3
[7,6,1,5,2,4,3,8]=>1101010=>7
[7,1,6,3,5,4,2,8]=>1010110=>5
[1,6,7,3,5,4,8,2]=>0010101=>1
[1,7,3,5,6,8,4,2]=>0100011=>3
[1,7,8,3,6,4,5,2]=>0010101=>1
[1,8,7,6,4,5,2,3]=>0111010=>3
[8,2,7,4,6,5,1,3]=>1010110=>5
[2,8,5,7,6,4,1,3]=>0101110=>2
[7,4,5,1,6,8,3,2]=>1010011=>5
[4,1,7,5,6,8,3,2]=>1010011=>5
[5,6,7,4,3,1,8,2]=>0011101=>1
[6,7,8,5,3,1,4,2]=>0011101=>1
[1,4,6,2,5,3,7,8]=>0010100=>3
[1,6,3,2,5,4,7,8]=>0110100=>4
[1,6,8,2,5,4,7,3]=>0010101=>1
[1,5,4,2,6,3,7,8]=>0110100=>4
[1,2,6,4,3,5,7,8]=>0011000=>4
[1,6,8,2,7,5,4,3]=>0010111=>1
[1,7,4,3,2,6,8,5]=>0111001=>3
[1,5,4,7,2,6,8,3]=>0101001=>3
[1,3,7,6,2,8,5,4]=>0011011=>1
[1,7,6,2,8,4,3,5]=>0110110=>3
[1,5,2,8,4,3,7,6]=>0101101=>2
[1,2,8,4,3,6,5,7]=>0011010=>2
[1,2,8,5,6,3,4,7]=>0010100=>3
[1,7,3,5,2,8,6,4]=>0101011=>1
[1,6,7,2,5,8,4,3]=>0010011=>1
[1,5,8,3,2,7,4,6]=>0011010=>2
[1,4,5,8,2,6,3,7]=>0001010=>2
[1,7,6,4,8,2,5,3]=>0110101=>3
[1,4,8,6,5,2,7,3]=>0011101=>1
[1,3,8,2,6,5,4,7]=>0010110=>2
[1,7,6,3,8,2,4,5]=>0110100=>4
[1,5,2,7,6,4,8,3]=>0101101=>2
[1,2,4,3,8,7,5,6]=>0010110=>2
[1,4,3,8,7,2,5,6]=>0101100=>3
[1,3,8,6,2,4,5,7]=>0011000=>4
[1,3,8,5,4,2,6,7]=>0011100=>3
[1,7,2,4,8,6,5,3]=>0100111=>2
[1,6,5,3,2,8,7,4]=>0111011=>2
[1,3,2,8,7,5,4,6]=>0101110=>2
[1,2,8,6,5,4,3,7]=>0011110=>2
[8,1,3,4,6,5,2,7]=>1000110=>5
[8,3,1,4,6,5,2,7]=>1100110=>6
[5,8,3,1,2,6,4,7]=>0110010=>4
[4,8,1,7,5,2,3,6]=>0101100=>3
[4,8,1,7,5,2,6,3]=>0101101=>2
[8,5,1,4,2,6,3,7]=>1101010=>7
[8,4,1,3,5,6,2,7]=>1100010=>7
[8,5,3,2,1,6,4,7]=>1111010=>7
[8,1,5,4,2,6,3,7]=>1011010=>6
[8,5,2,4,1,6,3,7]=>1101010=>7
[4,8,7,1,5,2,6,3]=>0110101=>3
[4,8,7,1,5,2,3,6]=>0110100=>4
[7,6,8,4,1,3,2,5]=>1011010=>6
[7,6,8,4,1,3,5,2]=>1011001=>5
[3,8,7,5,4,1,2,6]=>0111100=>3
[4,8,2,7,5,1,3,6]=>0101100=>3
[7,6,8,4,1,5,2,3]=>1011010=>6
[8,7,6,1,5,2,3,4]=>1110100=>7
[7,1,4,8,6,3,5,2]=>1001101=>4
[8,1,6,5,3,4,7,2]=>1011001=>5
[8,6,2,5,3,4,7,1]=>1101001=>6
[8,6,5,1,3,4,7,2]=>1110001=>6
[8,7,5,1,3,6,2,4]=>1110010=>7
[8,7,1,5,3,6,2,4]=>1101010=>7
[8,6,1,3,5,4,7,2]=>1100101=>6
[7,1,4,8,3,6,5,2]=>1001011=>4
[7,8,5,2,4,3,6,1]=>0110101=>3
[7,3,8,2,5,4,6,1]=>1010101=>4
[8,4,2,5,3,7,6,1]=>1101011=>5
[4,8,1,5,3,7,6,2]=>0101011=>1
[7,4,8,2,6,3,5,1]=>1010101=>4
[7,4,8,2,6,3,1,5]=>1010110=>5
[8,7,3,1,6,4,2,5]=>1110110=>7
[8,7,3,1,6,4,5,2]=>1110101=>6
[8,7,3,1,4,6,5,2]=>1110011=>5
[8,4,3,2,7,5,6,1]=>1110101=>6
[6,4,1,7,8,5,3,2]=>1100111=>4
[7,6,3,4,1,8,5,2]=>1101011=>5
[8,7,3,1,6,2,5,4]=>1110101=>6
[7,8,6,4,2,5,1,3]=>0111010=>3
[7,8,2,4,6,5,1,3]=>0100110=>3
[8,1,7,3,5,6,2,4]=>1010010=>6
[8,7,5,2,4,6,1,3]=>1110010=>7
[8,1,7,5,4,6,2,3]=>1011010=>6
[8,7,3,2,6,1,5,4]=>1110101=>6
[5,3,1,7,6,4,2,8]=>1101110=>6
[1,8,6,4,2,9,7,5,3]=>01110111=>2
[9,7,5,3,1,8,6,4,2,10]=>111101110=>9
[8,6,4,2,1,7,5,3,9]=>11110110=>8
[8,7,5,3,1,6,4,2,9]=>11110110=>8
[7,5,3,2,1,6,4,8]=>1111010=>7
[7,6,5,3,1,4,2,8]=>1111010=>7
[1,8,6,4,3,2,7,5]=>0111101=>2
[1,9,7,5,3,2,8,6,4]=>01111011=>2
[1,8,7,6,4,2,5,3]=>0111101=>2
[1,9,8,6,4,2,7,5,3]=>01111011=>2
[1,10,8,6,4,2,9,7,5,3]=>011110111=>2
[8,4,6,7,5,3,2,1]=>1001111=>3
[1,4,8,6,7,5,3,2]=>0010111=>1
[7,6,2,5,8,4,3,1]=>1100111=>4
[1,7,3,6,8,5,4,2]=>0100111=>2
[8,6,2,5,7,4,3,1]=>1100111=>4
[7,1,3,6,8,5,4,2]=>1000111=>4
[1,8,3,6,7,5,4,2]=>0100111=>2
[8,1,7,6,4,5,3,2]=>1011011=>3
[7,1,8,6,4,5,3,2]=>1011011=>3
[1,6,2,7,4,5,3,8]=>0101010=>4
[1,8,2,6,4,3,5,7]=>0101100=>3
[1,7,2,6,4,3,5,8]=>0101100=>3
[1,7,2,5,4,6,3,8]=>0101010=>4
[6,5,7,2,8,3,4,1]=>1010101=>4
[6,2,7,5,8,1,4,3]=>1010101=>4
[6,7,2,5,8,1,4,3]=>0100101=>2
[6,5,7,3,8,1,4,2]=>1010101=>4
[6,3,7,4,8,2,5,1]=>1010101=>4
[6,3,7,4,8,1,5,2]=>1010101=>4
[8,7,6,4,2,5,3,1]=>1111011=>5
[8,7,4,6,2,3,5,1]=>1101001=>6
[6,8,4,5,7,3,2,1]=>0100111=>2
[6,7,5,1,4,3,8,2]=>0110101=>3
[7,8,5,1,4,3,6,2]=>0110101=>3
[2,7,6,8,3,5,1,4]=>0101010=>4
[7,2,1,5,3,8,6,4]=>1101011=>5
[5,8,2,7,6,1,3,4]=>0101100=>3
[5,1,8,7,3,4,2,6]=>1011010=>6
[8,2,3,6,7,1,4,5]=>1000100=>6
[4,2,3,1,5,8,6,7]=>1010010=>6
[6,3,5,1,2,4,7,8,9]=>10100000=>8
[8,6,5,4,3,2,1,7,9]=>11111100=>8
[3,1,2,4,5,6,7,8,9,10]=>100000000=>9
[6,3,5,1,2,4,7,8,9,10]=>101000000=>9
[9,7,6,5,4,3,2,1,8,10]=>111111100=>9
[10,8,6,9,4,7,2,5,1,3]=>110101010=>9
[2,4,8,7,5,3,1,6]=>0011110=>2
[2,6,8,7,5,3,4,1]=>0011101=>1
[2,6,5,1,4,3,8,7]=>0110101=>3
[6,5,1,2,4,3,8,7]=>1100101=>6
[4,6,5,3,1,2,8,7]=>0111001=>3
[4,8,7,5,3,1,2,6]=>0111100=>3
[4,6,8,7,5,3,1,2]=>0011110=>2
[6,8,7,5,3,1,4,2]=>0111101=>2
[8,7,5,6,3,1,4,2]=>1101101=>5
[8,7,3,4,6,5,1,2]=>1100110=>6
[2,1,4,8,7,3,6,5]=>1001101=>4
[4,8,7,3,1,2,6,5]=>0111001=>3
[8,7,3,4,1,2,6,5]=>1101001=>6
[8,7,3,1,6,5,2,4]=>1110110=>7
[8,7,3,2,6,5,1,4]=>1110110=>7
[2,8,7,3,4,6,5,1]=>0110011=>2
[2,8,7,3,6,5,1,4]=>0110110=>3
[2,8,7,1,6,5,3,4]=>0110110=>3
[8,7,1,2,6,5,3,4]=>1100110=>6
[8,7,1,2,4,3,6,5]=>1100101=>6
[2,1,8,7,3,4,6,5]=>1011001=>5
[8,7,5,1,2,4,3,6]=>1110010=>7
[2,8,7,1,4,3,6,5]=>0110101=>3
[2,8,7,3,4,1,6,5]=>0110101=>3
[2,8,7,5,6,3,4,1]=>0110101=>3
[2,4,8,7,3,1,6,5]=>0011101=>1
[2,8,7,3,1,4,6,5]=>0111001=>3
[2,4,3,1,8,7,5,6]=>0110110=>3
[4,3,1,2,6,8,7,5]=>1100011=>5
[2,8,7,5,6,3,1,4]=>0110110=>3
[2,8,7,5,3,1,6,4]=>0111101=>2
[2,8,7,5,3,6,4,1]=>0111011=>2
[2,8,7,5,6,1,4,3]=>0110101=>3
[2,6,8,7,5,1,4,3]=>0011101=>1
[6,8,7,5,1,2,4,3]=>0111001=>3
[8,7,5,6,1,2,4,3]=>1101001=>6
[8,7,1,2,4,6,5,3]=>1100011=>5
[2,4,8,7,3,6,5,1]=>0011011=>1
[8,7,2,4,3,6,5,1]=>1101011=>5
[4,8,7,1,2,6,5,3]=>0110011=>2
[8,7,5,3,1,2,6,4]=>1111001=>6
[8,7,5,3,6,4,1,2]=>1110110=>7
[8,7,1,4,3,6,5,2]=>1101011=>5
[8,7,3,4,1,6,5,2]=>1101011=>5
[10,3,2,4,5,6,7,8,9,1]=>110000001=>8
[9,4,3,2,5,6,7,8,1]=>11100001=>7
[8,1,2,3,4,5,7,6,9]=>10000010=>7
[7,1,2,3,5,4,6,8]=>1000100=>6
[1,9,2,3,4,5,6,8,7]=>01000001=>5
[9,1,2,3,4,5,6,8,7,10]=>100000010=>8
[8,1,2,3,4,7,6,5,9]=>10000110=>6
[8,1,2,3,4,6,5,7,9]=>10000100=>7
[7,1,2,6,4,5,3,8]=>1001010=>5
[7,1,2,4,3,5,6,8]=>1001000=>7
[1,9,2,3,4,5,8,7,6]=>01000011=>4
[1,9,2,3,4,5,7,6,8]=>01000010=>5
[1,10,2,3,4,5,6,7,9,8]=>010000001=>6
[4,7,3,6,5,1,2,8]=>0101100=>3
[7,5,4,2,8,3,1,6]=>1110110=>7
[8,3,6,1,5,2,4,7]=>1010100=>7
[3,1,6,8,5,7,2,4]=>1001010=>5
[5,7,2,1,8,4,6,3]=>0110101=>3
[7,2,8,6,4,3,1,5]=>1011110=>4
[6,3,8,7,4,2,1,5]=>1011110=>4
[7,6,3,2,8,4,1,5]=>1110110=>7
[8,6,1,3,2,4,5,7]=>1101000=>7
[5,8,3,7,4,2,1,6]=>0101110=>2
[4,1,7,3,5,8,6,2]=>1010011=>5
[8,4,7,3,5,2,1,6]=>1010110=>5
[5,4,8,1,3,2,6,7]=>1010100=>7
[4,5,8,2,1,3,6,7]=>0011000=>4
[8,1,3,5,2,4,6,7]=>1001000=>7
[1,8,3,5,7,2,4,6]=>0100100=>5
[1,7,3,8,6,2,4,5]=>0101100=>3
[8,6,2,1,3,7,5,4]=>1110011=>5
[8,1,4,2,7,6,3,5]=>1010110=>5
[1,3,4,5,6,7,8,2,9]=>00000010=>2
[1,3,4,5,6,7,8,10,2,9]=>000000010=>2
[2,1,4,5,6,7,9,3,8]=>10000010=>7
[2,1,4,5,6,7,8,3,9]=>10000010=>7
[1,3,4,5,6,7,8,9,2,10]=>000000010=>2
[1,5,7,3,6,8,2,4]=>0010010=>3
[8,4,6,2,5,7,1,3]=>1010010=>6
[1,3,4,7,6,8,2,5]=>0001010=>2
[8,1,3,6,7,4,2,5]=>1000110=>5
[1,2,4,7,8,5,3,6]=>0000110=>2
[3,1,4,7,6,8,2,5]=>1001010=>5
[4,1,3,7,6,8,2,5]=>1001010=>5
[5,1,7,3,6,8,2,4]=>1010010=>6
[6,7,8,2,4,5,1,3]=>0010010=>3
[5,8,6,2,4,7,1,3]=>0110010=>4
[3,8,2,6,5,7,1,4]=>0101010=>4
[2,8,3,6,7,4,1,5]=>0100110=>3
[8,7,2,5,6,3,1,4]=>1100110=>6
[8,7,1,6,4,3,2,5]=>1101110=>6
[1,8,2,7,5,4,3,6]=>0101110=>2
[3,8,1,7,5,4,2,6]=>0101110=>2
[5,8,6,1,7,3,2,4]=>0110110=>3
[6,7,1,2,8,4,3,5]=>0100110=>3
[2,1,3,8,6,5,4,7]=>1001110=>4
[8,2,1,7,5,4,3,6]=>1101110=>6
[1,3,2,8,6,5,4,7]=>0101110=>2
[3,4,1,7,6,8,2,5]=>0101010=>4
[2,5,7,1,8,4,3,6]=>0010110=>2
[3,5,7,1,6,8,2,4]=>0010010=>3
[4,5,7,6,1,8,2,3]=>0011010=>2
[5,4,7,6,8,3,1,2]=>1010110=>5
[1,5,7,8,6,3,2,4]=>0001110=>2
[8,4,6,7,5,2,1,3]=>1001110=>4
[8,3,7,5,6,2,1,4]=>1010110=>5
[1,4,8,6,7,3,2,5]=>0010110=>2
[2,4,8,6,7,3,1,5]=>0010110=>2
[5,2,7,8,6,3,1,4]=>1001110=>4
[2,3,8,7,5,4,1,6]=>0011110=>2
[1,3,8,7,5,4,2,6]=>0011110=>2
[8,2,7,6,4,3,1,5]=>1011110=>4
[8,1,7,6,4,3,2,5]=>1011110=>4
[4,1,8,6,7,3,2,5]=>1010110=>5
[4,8,7,5,6,2,1,3]=>0110110=>3
[5,6,8,1,7,4,3,2]=>0010111=>1
[1,6,9,8,7,5,4,3,2]=>00111111=>1
[1,4,9,8,7,6,5,3,2]=>00111111=>1
[1,3,9,8,7,6,5,4,2]=>00111111=>1
[8,7,1,9,6,5,4,3,2]=>11011111=>3
[1,8,10,9,7,6,5,4,3,2]=>001111111=>1
[6,7,9,1,8,5,4,3,2]=>00101111=>1
[1,7,10,9,8,6,5,4,3,2]=>001111111=>1
[5,6,9,8,1,7,4,3,2]=>00110111=>1
[4,1,8,7,3,6,5,2]=>1011011=>3
[5,6,8,4,1,7,3,2]=>0011011=>1
[5,4,9,8,7,1,6,3,2]=>10111011=>4
[1,5,10,9,8,7,6,4,3,2]=>001111111=>1
[4,5,8,7,3,1,6,2]=>0011101=>1
[3,4,9,8,7,6,1,5,2]=>00111101=>1
[1,4,10,9,8,7,6,5,3,2]=>001111111=>1
[2,3,9,8,7,6,5,1,4]=>00111110=>2
[9,8,1,10,7,6,5,4,3,2]=>110111111=>3
[1,7,6,9,8,5,4,3,2]=>01011111=>1
[7,8,10,1,9,6,5,4,3,2]=>001011111=>1
[1,6,9,5,8,7,4,3,2]=>00101111=>1
[8,7,6,1,9,5,4,3,2]=>11101111=>4
[6,7,10,9,1,8,5,4,3,2]=>001101111=>1
[3,1,8,4,7,6,5,2]=>1010111=>3
[5,1,9,8,4,7,6,3,2]=>10110111=>3
[6,7,9,5,1,8,4,3,2]=>00110111=>1
[6,5,10,9,8,1,7,4,3,2]=>101110111=>3
[1,4,9,8,7,3,6,5,2]=>00111011=>1
[5,6,9,8,4,1,7,3,2]=>00111011=>1
[4,5,10,9,8,7,1,6,3,2]=>001111011=>1
[1,3,9,8,7,6,2,5,4]=>00111101=>1
[1,5,8,4,3,7,6,2]=>0011011=>1
[5,4,9,8,7,3,1,6,2]=>10111101=>4
[3,4,10,9,8,7,6,1,5,2]=>001111101=>1
[3,4,9,8,7,6,2,1,5]=>00111110=>2
[3,2,10,9,8,7,6,5,1,4]=>101111110=>4
[8,1,7,2,5,6,4,3]=>1010011=>5
[8,1,3,5,2,7,6,4]=>1001011=>4
[2,7,1,5,4,8,6,3]=>0101011=>1
[8,6,2,4,3,7,5,1]=>1101011=>5
[2,4,1,6,7,5,8,3]=>0100101=>2
[8,1,4,5,6,3,7,2]=>1000101=>5
[8,1,4,5,6,2,7,3]=>1000101=>5
[8,1,4,7,6,2,5,3]=>1001101=>4
[2,5,1,7,8,6,4,3]=>0100111=>2
[3,5,6,2,8,7,4,1]=>0010111=>1
[2,4,5,1,7,6,3,8]=>0010110=>2
[7,3,1,5,6,4,2,8]=>1100110=>6
[8,3,2,5,6,7,1,4]=>1100010=>7
[8,4,5,3,7,6,2,1]=>1010111=>3
[3,4,5,6,2,8,1,7]=>0001010=>2
[3,7,4,2,8,5,1,6]=>0110110=>3
[7,3,4,1,6,8,2,5]=>1010010=>6
[2,6,3,1,4,7,5,8]=>0110010=>4
[7,2,1,6,3,4,8,5]=>1101001=>6
[7,3,4,1,6,5,8,2]=>1010101=>4
[3,7,4,2,5,8,6,1]=>0110011=>2
[2,3,5,1,4,8,7,6]=>0010011=>1
[2,7,1,3,6,8,5,4]=>0100011=>3
[2,7,1,3,8,4,6,5]=>0100101=>2
[3,8,7,1,6,2,5,4]=>0110101=>3
[3,8,7,1,4,5,2,6]=>0110010=>4
[3,7,4,2,1,8,6,5]=>0111011=>2
[4,8,5,7,2,6,3,1]=>0101011=>1
[8,4,5,7,3,2,6,1]=>1001101=>4
[8,3,7,2,4,1,5,6]=>1010100=>7
[8,6,7,2,1,4,3,5]=>1011010=>6
[8,3,7,5,1,2,6,4]=>1011001=>5
[7,3,4,6,2,1,5,8]=>1001100=>6
[3,7,4,6,1,5,2,8]=>0101010=>4
[3,4,7,6,1,2,8,5]=>0011001=>2
[4,5,8,7,6,1,3,2]=>0011101=>1
[8,6,3,7,5,1,4,2]=>1101101=>5
[8,7,3,5,6,1,4,2]=>1100101=>6
[7,6,3,8,1,4,5,2]=>1101001=>6
[8,5,2,7,6,1,3,4]=>1101100=>7
[8,7,3,1,4,5,2,6]=>1110010=>7
[8,4,2,5,1,6,7,3]=>1101001=>6
[8,5,3,1,6,4,7,2]=>1110101=>6
[8,7,3,1,4,5,6,2]=>1110001=>6
[8,7,4,1,5,6,2,3]=>1110010=>7
[8,6,4,1,7,5,2,3]=>1110110=>7
[8,6,3,1,7,4,5,2]=>1110101=>6
[8,5,3,1,6,7,4,2]=>1110011=>5
[8,5,3,7,1,6,4,2]=>1101011=>5
[7,6,3,8,1,4,2,5]=>1101010=>7
[7,4,8,2,6,1,5,3]=>1010101=>4
[6,4,7,3,1,5,2,8]=>1011010=>6
[8,5,3,1,6,4,2,7]=>1110110=>7
[8,7,4,1,5,2,3,6]=>1110100=>7
[8,7,5,1,2,6,3,4]=>1110010=>7
[8,6,4,1,2,7,5,3]=>1110011=>5
[8,7,4,1,2,5,3,6]=>1110010=>7
[8,7,5,1,2,3,6,4]=>1110001=>6
[6,5,3,7,4,2,1,8]=>1101110=>6
[1,6,3,8,4,2,5,7]=>0101100=>3
[4,7,2,5,3,6,1,8]=>0101010=>4
[1,8,3,4,5,2,6,7]=>0100100=>5
[1,8,6,4,2,5,3,7]=>0111010=>3
[8,2,6,4,1,5,7,3]=>1011001=>5
[7,8,3,4,6,1,5,2]=>0100101=>2
[4,8,7,5,3,1,6,2]=>0111101=>2
[6,1,4,8,3,2,5,7]=>1001100=>6
[4,1,8,5,3,2,6,7]=>1011100=>5
[8,1,6,4,2,7,3,5]=>1011010=>6
[3,1,7,4,2,5,8,6]=>1011001=>5
[1,2,7,4,3,5,6,8]=>0011000=>4
[6,1,8,5,2,4,3,7]=>1011010=>6
[6,8,2,5,1,4,7,3]=>0101001=>3
[4,5,2,1,6,8,7,3]=>0110011=>2
[7,2,8,6,5,1,4,3]=>1011101=>4
[7,4,8,6,1,5,3,2]=>1011011=>3
[8,7,2,6,1,4,5,3]=>1101001=>6
[1,7,8,6,2,4,3,5]=>0011010=>2
[7,6,3,1,2,5,4,8]=>1110010=>7
[8,5,3,1,2,4,7,6]=>1110001=>6
[8,2,1,6,5,3,4,7]=>1101100=>7
[3,8,1,5,6,2,4,7]=>0100100=>5
[6,8,4,1,5,2,3,7]=>0110100=>4
[3,2,8,1,6,4,5,7]=>1010100=>7
[5,2,1,3,7,6,4,8]=>1100110=>6
[5,4,1,2,8,3,7,6]=>1100101=>6
[5,8,4,1,2,3,7,6]=>0110001=>4
[7,1,2,5,3,4,6,8]=>1001000=>7
[1,6,7,3,2,8,4,5]=>0011010=>2
[1,8,6,3,2,7,4,5]=>0111010=>3
[1,5,3,7,2,8,4,6]=>0101010=>4
[1,4,6,2,8,5,3,7]=>0010110=>2
[1,5,6,2,8,4,3,7]=>0010110=>2
[2,4,6,3,1,7,5,8]=>0011010=>2
[3,4,8,6,5,7,2,1]=>0011011=>1
[1,2,5,7,4,3,6,8]=>0001100=>3
[1,2,5,7,4,6,8,3]=>0001001=>1
[3,5,8,6,1,7,2,4]=>0011010=>2
[2,3,6,8,1,7,4,5]=>0001010=>2
[2,3,7,1,8,6,4,5]=>0010110=>2
[2,6,1,7,8,5,3,4]=>0100110=>3
[2,4,8,5,6,7,1,3]=>0010010=>3
[1,4,8,5,6,7,3,2]=>0010011=>1
[4,8,3,1,6,5,7,2]=>0110101=>3
[1,6,8,5,4,2,7,3]=>0011101=>1
[6,5,8,4,2,1,7,3]=>1011101=>4
[1,7,8,6,5,4,2,3]=>0011110=>2
[6,8,7,4,5,1,3,2]=>0110101=>3
[6,1,3,5,4,2,8,7]=>1001101=>4
[3,6,4,2,5,1,8,7]=>0110101=>3
[2,1,5,8,6,4,7,3]=>1001101=>4
[4,2,8,5,6,3,7,1]=>1010101=>4
[5,7,2,3,4,6,8,1]=>0100001=>4
[1,8,7,3,2,5,6,4]=>0111001=>3
[5,7,1,2,3,8,6,4]=>0100011=>3
[7,8,6,2,4,1,5,3]=>0110101=>3
[7,2,8,4,6,1,5,3]=>1010101=>4
[7,4,6,2,8,1,5,3]=>1010101=>4
[7,1,5,8,2,3,6,4]=>1001001=>5
[7,6,4,8,2,1,5,3]=>1101101=>5
[6,1,8,4,2,3,5,7]=>1011000=>6
[7,3,6,2,1,8,5,4]=>1011011=>3
[1,8,6,4,2,5,7,3]=>0111001=>3
[5,6,2,1,8,4,7,3]=>0110101=>3
[5,1,6,4,3,8,7,2]=>1011011=>3
[5,4,6,8,1,3,7,2]=>1001001=>5
[3,7,1,6,4,5,8,2]=>0101001=>3
[3,5,2,1,4,6,7,8]=>0110000=>5
[1,3,8,7,5,4,6,2]=>0011101=>1
[9,3,4,2,5,6,7,8,1]=>10100001=>7
[1,2,3,4,5,7,9,8,6]=>00000011=>1
[1,2,3,4,6,7,9,8,5]=>00000011=>1
[1,2,3,4,6,8,9,7,5]=>00000011=>1
[1,2,3,4,6,9,8,7,5]=>00000111=>1
[1,2,3,5,6,7,9,8,4]=>00000011=>1
[1,2,3,5,6,8,9,7,4]=>00000011=>1
[1,2,3,5,6,9,8,7,4]=>00000111=>1
[1,2,3,5,7,9,8,6,4]=>00000111=>1
[1,2,3,5,9,8,7,6,4]=>00001111=>1
[1,2,4,5,7,8,9,6,3]=>00000011=>1
[1,2,4,5,7,9,8,6,3]=>00000111=>1
[1,2,4,5,9,8,7,6,3]=>00001111=>1
[1,2,4,6,9,8,7,5,3]=>00001111=>1
[1,2,4,9,8,7,6,5,3]=>00011111=>1
[1,3,5,7,9,8,6,4,2]=>00001111=>1
[1,3,5,9,8,7,6,4,2]=>00011111=>1
[1,2,3,4,5,6,8,10,9,7]=>000000011=>1
[1,2,3,4,5,7,8,10,9,6]=>000000011=>1
[1,2,3,4,5,7,9,10,8,6]=>000000011=>1
[1,2,3,4,5,7,10,9,8,6]=>000000111=>1
[1,2,3,4,6,7,8,10,9,5]=>000000011=>1
[1,2,3,4,6,7,9,10,8,5]=>000000011=>1
[1,2,3,4,6,7,10,9,8,5]=>000000111=>1
[1,2,3,4,6,8,10,9,7,5]=>000000111=>1
[1,2,3,4,6,10,9,8,7,5]=>000001111=>1
[1,2,3,5,6,7,9,10,8,4]=>000000011=>1
[1,2,3,5,6,7,10,9,8,4]=>000000111=>1
[1,2,3,5,6,8,9,10,7,4]=>000000011=>1
[1,2,3,5,6,8,10,9,7,4]=>000000111=>1
[1,2,3,5,6,10,9,8,7,4]=>000001111=>1
[1,2,3,5,7,9,10,8,6,4]=>000000111=>1
[1,2,3,5,7,10,9,8,6,4]=>000001111=>1
[1,2,3,5,10,9,8,7,6,4]=>000011111=>1
[1,2,4,5,7,8,10,9,6,3]=>000000111=>1
[1,2,4,5,7,9,10,8,6,3]=>000000111=>1
[1,2,4,5,7,10,9,8,6,3]=>000001111=>1
[1,2,4,5,10,9,8,7,6,3]=>000011111=>1
[1,2,4,6,10,9,8,7,5,3]=>000011111=>1
[1,2,4,10,9,8,7,6,5,3]=>000111111=>1
[1,3,5,7,9,10,8,6,4,2]=>000001111=>1
[1,3,5,7,10,9,8,6,4,2]=>000011111=>1
[1,3,5,10,9,8,7,6,4,2]=>000111111=>1
[1,3,10,9,8,7,6,5,4,2]=>001111111=>1
[6,7,3,4,8,5,1,2]=>0100110=>3
[7,4,1,8,2,5,6,3]=>1101001=>6
[3,1,7,2,5,6,8,4]=>1010001=>6
[4,1,5,7,3,2,8,6]=>1001101=>4
[6,4,1,7,2,8,5,3]=>1101011=>5
[7,3,1,6,2,8,5,4]=>1101011=>5
[4,8,2,5,3,1,6,7]=>0101100=>3
[5,1,3,4,8,2,6,7]=>1000100=>6
[6,1,4,5,7,8,2,3]=>1000010=>6
[6,3,4,7,1,8,5,2]=>1001011=>4
[7,1,3,4,5,6,8,2]=>1000001=>6
[8,5,2,7,6,3,1,4]=>1101110=>6
[1,8,3,5,6,2,7,4]=>0100101=>2
[8,3,2,5,6,1,7,4]=>1100101=>6
[4,2,5,1,6,8,7,3]=>1010011=>5
[5,4,2,7,8,6,1,3]=>1100110=>6
[6,8,7,2,1,3,4,5]=>0111000=>4
[3,7,6,8,5,2,4,1]=>0101101=>2
[1,7,8,5,2,6,3,4]=>0011010=>2
[7,6,1,2,5,3,8,4]=>1100101=>6
[5,8,7,2,6,3,4,1]=>0110101=>3
[7,6,2,4,8,1,5,3]=>1100101=>6
[1,5,7,3,8,6,2,4]=>0010110=>2
[6,7,5,1,8,2,3,4]=>0110100=>4
[7,6,1,2,4,3,8,5]=>1100101=>6
[6,7,2,1,5,3,8,4]=>0110101=>3
[4,3,2,8,7,1,6,5]=>1101101=>5
[4,8,3,1,7,6,5,2]=>0110111=>1
[5,3,8,7,1,6,4,2]=>1011011=>3
[5,8,7,3,1,6,4,2]=>0111011=>2
[5,3,8,2,1,7,6,4]=>1011011=>3
[3,8,7,2,6,5,1,4]=>0110110=>3
[7,4,1,8,6,5,3,2]=>1101111=>3
[5,4,2,8,1,7,6,3]=>1101011=>5
[5,8,4,2,1,7,6,3]=>0111011=>2
[5,8,4,7,1,6,3,2]=>0101011=>1
[5,4,8,3,1,7,6,2]=>1011011=>3
[8,5,6,1,4,7,2,3]=>1010010=>6
[6,7,4,1,2,5,8,3]=>0110001=>4
[1,6,7,4,2,5,8,3]=>0011001=>2
[3,6,7,5,8,1,2,4]=>0010100=>3
[1,6,7,5,8,3,2,4]=>0010110=>2
[3,8,6,5,7,4,1,2]=>0110110=>3
[8,1,6,5,7,4,3,2]=>1010111=>3
[5,2,1,6,8,4,7,3]=>1100101=>6
[6,5,8,7,4,2,3,1]=>1011101=>4
[6,8,5,7,4,2,1,3]=>0101110=>2
[3,6,7,5,8,2,1,4]=>0010110=>2
[4,7,5,3,8,1,2,6]=>0110100=>4
[4,7,5,3,6,1,2,8]=>0110100=>4
[4,7,5,3,1,6,2,8]=>0111010=>3
[2,7,5,3,6,4,8,1]=>0110101=>3
[2,7,5,6,3,8,4,1]=>0101011=>1
[2,7,5,3,6,8,1,4]=>0110010=>4
[8,7,5,3,1,4,6,2]=>1111001=>6
[2,7,5,3,1,4,8,6]=>0111001=>3
[2,7,5,3,4,8,6,1]=>0110011=>2
[5,7,6,2,8,3,1,4]=>0110110=>3
[5,1,6,3,2,4,8,7]=>1011001=>5
[5,7,6,1,8,3,2,4]=>0110110=>3
[3,8,7,2,1,5,4,6]=>0111010=>3
[6,1,7,2,8,4,3,5]=>1010110=>5
[4,8,5,6,7,3,1,2]=>0100110=>3
[3,7,6,2,8,5,1,4]=>0110110=>3
[6,1,7,3,8,5,2,4]=>1010110=>5
[7,1,8,3,2,5,4,6]=>1011010=>6
[2,7,8,3,1,5,4,6]=>0011010=>2
[4,8,5,6,7,2,1,3]=>0100110=>3
[5,8,6,2,7,4,1,3]=>0110110=>3
[2,4,6,7,8,5,1,3]=>0000110=>2
[2,4,6,7,8,3,1,5]=>0000110=>2
[4,7,6,2,8,5,1,3]=>0110110=>3
[5,8,7,3,2,4,1,6]=>0111010=>3
[4,6,5,8,7,3,1,2]=>0101110=>2
[8,3,1,7,2,6,4,5]=>1101010=>7
[4,5,1,2,8,7,3,6]=>0100110=>3
[5,6,1,2,8,3,7,4]=>0100101=>2
[5,8,7,1,6,2,4,3]=>0110101=>3
[8,4,5,1,7,6,2,3]=>1010110=>5
[6,3,1,4,8,2,7,5]=>1100101=>6
[8,5,6,1,7,2,4,3]=>1010101=>4
[7,5,6,1,3,8,4,2]=>1010011=>5
[5,7,6,1,3,8,4,2]=>0110011=>2
[6,7,1,4,2,8,5,3]=>0101011=>1
[2,1,6,4,8,3,7,5]=>1010101=>4
[1,5,7,8,4,2,3,6]=>0001100=>3
[1,3,6,4,2,5,7,8]=>0011000=>4
[1,4,5,7,8,3,6,2]=>0000101=>1
[1,5,7,8,3,6,2,4]=>0001010=>2
[1,5,7,8,2,4,3,6]=>0001010=>2
[6,8,4,7,3,2,1,5]=>0101110=>2
[6,8,5,4,2,7,1,3]=>0111010=>3
[1,8,4,6,3,2,7,5]=>0101101=>2
[6,4,8,5,3,2,1,7]=>1011110=>4
[3,5,6,1,4,2,7,8]=>0010100=>3
[1,6,3,8,4,2,7,5]=>0101101=>2
[7,1,3,2,4,6,8,5]=>1010001=>6
[2,6,5,7,8,3,1,4]=>0100110=>3
[4,1,8,2,6,7,5,3]=>1010011=>5
[3,6,7,8,2,1,4,5]=>0001100=>3
[2,5,7,1,6,3,4,8]=>0010100=>3
[4,2,8,3,6,5,1,7]=>1010110=>5
[6,3,8,7,2,4,5,1]=>1011001=>5
[7,6,1,8,2,4,5,3]=>1101001=>6
[2,5,6,3,4,8,1,7]=>0010010=>3
[5,2,4,7,8,6,1,3]=>1000110=>5
[7,2,1,3,4,8,5,6]=>1100010=>7
[2,4,5,7,1,8,6,3]=>0001011=>1
[8,1,6,2,3,4,7,5]=>1010001=>6
[6,1,4,2,5,7,8,3]=>1010001=>6
[6,5,1,2,3,7,8,9,4]=>11000001=>7
[1,6,7,2,4,3,5,8]=>0010100=>3
[1,8,3,4,5,2,7,6]=>0100101=>2
[1,8,3,6,4,7,2,5]=>0101010=>4
[1,4,7,2,5,6,3,8]=>0010010=>3
[7,3,5,8,2,6,1,4]=>1001010=>5
[3,4,8,6,7,2,1,5]=>0010110=>2
[3,4,8,2,5,1,7,6]=>0010101=>1
[1,7,2,5,8,4,3,6]=>0100110=>3
[1,4,6,7,8,3,5,2]=>0000101=>1
[4,1,5,3,6,8,7,2]=>1010011=>5
[5,8,7,4,6,2,3,1]=>0110101=>3
[6,8,7,1,5,3,4,2]=>0110101=>3
[2,7,8,4,6,5,1,3]=>0010110=>2
[3,7,8,5,4,6,2,1]=>0011011=>1
[4,8,7,5,2,6,3,1]=>0111011=>2
[2,8,7,4,6,1,5,3]=>0110101=>3
[4,8,7,2,5,6,3,1]=>0110011=>2
[4,7,8,5,3,6,2,1]=>0011011=>1
[6,4,8,1,5,7,3,2]=>1010011=>5
[1,6,8,3,5,2,7,4]=>0010101=>1
[4,5,8,6,3,7,2,1]=>0011011=>1
[2,6,7,8,4,5,1,3]=>0001010=>2
[6,1,2,8,4,7,5,3]=>1001011=>4
[4,7,1,8,5,6,3,2]=>0101011=>1
[5,7,1,8,2,6,4,3]=>0101011=>1
[7,2,1,8,6,4,5,3]=>1101101=>5
[5,3,8,4,7,6,2,1]=>1010111=>3
[2,5,8,1,7,4,6,3]=>0010101=>1
[4,5,8,3,7,6,2,1]=>0010111=>1
[1,7,2,8,6,4,5,3]=>0101101=>2
[3,5,7,8,1,6,2,4]=>0001010=>2
[2,4,7,8,5,6,1,3]=>0001010=>2
[4,1,7,8,5,6,3,2]=>1001011=>4
[3,5,8,6,4,7,2,1]=>0011011=>1
[2,4,8,5,7,6,1,3]=>0010110=>2
[2,6,3,8,5,1,7,4]=>0101101=>2
[4,1,5,8,6,7,3,2]=>1001011=>4
[5,3,4,7,6,1,2,8]=>1001100=>6
[6,2,1,4,8,3,7,5]=>1100101=>6
[2,8,5,4,1,3,7,6]=>0111001=>3
[4,2,8,7,1,3,5,6]=>1011000=>6
[5,4,6,3,1,7,2,8]=>1011010=>6
[4,3,6,5,1,8,2,7]=>1011010=>6
[1,5,6,8,7,3,2,4]=>0001110=>2
[1,4,8,3,6,5,2,7]=>0010110=>2
[1,3,8,6,4,7,2,5]=>0011010=>2
[1,2,8,6,4,3,7,5]=>0011101=>1
[6,5,1,8,7,3,2,4]=>1101110=>6
[4,1,7,6,8,3,2,5]=>1010110=>5
[1,8,4,7,6,2,3,5]=>0101100=>3
[8,3,2,6,1,7,4,5]=>1101010=>7
[1,6,3,7,4,5,2,8]=>0101010=>4
[2,6,3,7,4,8,5,1]=>0101011=>1
[4,6,1,7,8,2,5,3]=>0100101=>2
[7,2,3,8,4,5,6,1]=>1001001=>5
[5,2,6,7,8,3,4,1]=>1000101=>5
[6,5,8,1,2,7,4,3]=>1010011=>5
[6,5,1,8,7,2,4,3]=>1101101=>5
[5,8,4,3,7,2,1,6]=>0110110=>3
[6,1,2,8,7,3,4,5]=>1001100=>6
[7,3,2,8,4,6,1,5]=>1101010=>7
[4,5,1,7,6,2,8,3]=>0101101=>2
[1,5,2,7,6,3,4,8]=>0101100=>3
[7,2,6,8,3,5,4,1]=>1001011=>4
[4,8,1,7,6,2,5,3]=>0101101=>2
[7,2,8,6,5,3,4,1]=>1011101=>4
[4,1,8,7,6,5,2,3]=>1011110=>4
[7,6,5,2,8,4,3,1]=>1110111=>4
[6,5,1,8,7,4,3,2]=>1101111=>3
[7,5,1,8,6,4,3,2]=>1101111=>3
[8,5,1,7,6,4,3,2]=>1101111=>3
[8,5,3,7,6,1,4,2]=>1101101=>5
[3,8,7,6,1,5,4,2]=>0111011=>2
[9,1,8,2,3,4,5,6,10,7]=>101000001=>8
[9,7,1,2,3,4,5,6,10,8]=>110000001=>8
[2,10,1,9,3,4,5,6,7,8]=>010100000=>7
[2,10,8,1,3,4,5,6,7,9]=>011000000=>7
[8,3,7,5,4,1,6,2]=>1011101=>4
[4,5,3,1,8,7,2,6]=>0110110=>3
[3,4,8,1,5,2,6,7]=>0010100=>3
[8,6,5,7,1,3,2,4]=>1101010=>7
[1,5,8,6,2,7,4,3]=>0011011=>1
[3,1,8,5,7,2,6,4]=>1010101=>4
[6,8,5,3,4,2,1,7]=>0110110=>3
[8,5,2,6,4,3,1,7]=>1101110=>6
[8,6,4,5,2,1,7,3]=>1101101=>5
[8,5,2,6,1,4,7,3]=>1101001=>6
[2,7,5,8,1,4,6,3]=>0101001=>3
[3,2,6,7,1,8,5,4]=>1001011=>4
[3,4,6,7,8,2,1,5]=>0000110=>2
[3,2,6,7,8,4,1,5]=>1000110=>5
[6,2,7,4,8,5,1,3]=>1010110=>5
[6,7,1,3,8,5,4,2]=>0100111=>2
[6,7,1,8,5,2,4,3]=>0101101=>2
[1,2,6,7,8,5,3,4]=>0000110=>2
[1,6,7,4,8,3,2,5]=>0010110=>2
[1,4,6,7,8,3,2,5]=>0000110=>2
[6,1,2,4,5,3,7,8]=>1000100=>6
[8,1,7,3,2,6,4,5]=>1011010=>6
[4,1,3,2,5,6,7,8,9]=>10100000=>8
[6,1,2,4,5,3,7,8,9]=>10001000=>8
[5,4,1,2,3,6,7,8,9]=>11000000=>8
[8,1,2,3,5,6,7,4,9]=>10000010=>7
[4,1,6,3,5,2,7,8,9]=>10101000=>8
[8,1,7,3,2,6,4,5,9]=>10110100=>7
[5,7,1,6,2,4,3,8,9]=>01010100=>5
[7,3,4,6,1,2,5,8,9]=>10010000=>8
[6,1,2,9,4,5,7,8,3]=>10010001=>7
[4,1,6,3,8,5,7,2,9]=>10101010=>8
[6,8,5,1,7,2,3,4,9]=>01101000=>5
[8,3,4,5,7,1,2,6,9]=>10001000=>8
[5,7,1,9,2,8,4,6,3]=>01010101=>4
[7,9,4,6,1,8,2,3,5]=>01010100=>5
[4,1,3,2,5,6,7,8,9,10]=>101000000=>9
[6,1,2,4,5,3,7,8,9,10]=>100010000=>9
[5,4,1,2,3,6,7,8,9,10]=>110000000=>9
[8,1,2,3,5,6,7,4,9,10]=>100000100=>8
[4,1,6,3,5,2,7,8,9,10]=>101010000=>9
[8,1,7,3,2,6,4,5,9,10]=>101101000=>8
[5,7,1,6,2,4,3,8,9,10]=>010101000=>6
[7,3,4,6,1,2,5,8,9,10]=>100100000=>9
[6,1,2,9,4,5,7,8,3,10]=>100100010=>8
[4,1,6,3,8,5,7,2,9,10]=>101010100=>9
[6,8,5,1,7,2,3,4,9,10]=>011010000=>6
[8,3,4,5,7,1,2,6,9,10]=>100010000=>9
[10,1,6,3,9,5,2,8,4,7]=>101011010=>7
[5,7,1,9,2,8,4,6,3,10]=>010101010=>5
[7,9,4,6,1,8,2,3,5,10]=>010101000=>6
[9,3,4,5,6,8,1,2,7,10]=>100001000=>8
[4,1,6,3,8,5,10,7,9,2]=>101010101=>5
[6,8,10,1,7,2,9,3,5,4]=>001010101=>1
[8,10,4,5,7,1,9,2,3,6]=>010010100=>5
[10,3,4,5,6,7,9,1,2,8]=>100000100=>8
[8,7,2,1,5,4,6,3]=>1110101=>6
[2,7,4,8,6,5,3,1]=>0101111=>1
[7,6,5,2,4,1,8,3]=>1110101=>6
[7,6,4,3,1,5,8,2]=>1111001=>6
[6,1,8,7,2,3,5,4]=>1011001=>5
[8,6,1,2,7,3,4,5]=>1100100=>7
[3,6,8,2,7,1,5,4]=>0010101=>1
[2,8,6,1,4,5,7,3]=>0110001=>4
[6,8,7,2,5,4,1,3]=>0110110=>3
[3,5,7,9,1,2,4,6,8,10]=>000100000=>6
[4,1,2,3,5,6,7,8,9,10]=>100000000=>9
[5,1,2,3,4,6,7,8,9,10]=>100000000=>9
[8,1,2,3,4,5,6,7,9,10]=>100000000=>9
[7,1,2,3,4,5,6,8,9,10]=>100000000=>9
[6,1,2,3,4,5,7,8,9,10]=>100000000=>9
[3,1,2,4,5,6,7,8,9,10,11,12]=>10000000000=>11
[3,2,6,4,8,7,5,1]=>1010111=>3
[4,7,2,8,6,5,1,3]=>0101110=>2
[4,7,1,8,6,5,3,2]=>0101111=>1
[2,7,4,8,3,6,1,5]=>0101010=>4
[4,7,3,8,6,1,5,2]=>0101101=>2
[4,3,6,8,7,2,5,1]=>1001101=>4
[4,3,8,2,5,7,6,1]=>1010011=>5
[4,1,2,6,8,7,5,3]=>1000111=>4
[3,1,6,4,8,7,2,5]=>1010110=>5
[4,1,6,8,7,5,2,3]=>1001110=>4
[3,8,1,4,5,7,2,6]=>0100010=>4
[3,8,1,4,2,5,7,6]=>0101001=>3
[4,1,8,3,5,2,7,6]=>1010101=>4
[3,8,1,2,5,4,7,6]=>0100101=>2
[4,2,3,6,8,7,1,5]=>1000110=>5
[4,2,8,3,5,1,7,6]=>1010101=>4
[4,2,8,3,5,7,6,1]=>1010011=>5
[3,8,2,4,5,7,6,1]=>0100011=>3
[3,8,2,5,1,4,7,6]=>0101001=>3
[4,2,8,5,7,1,3,6]=>1010100=>7
[3,8,1,5,2,4,7,6]=>0101001=>3
[7,5,6,4,1,3,2,8]=>1011010=>6
[7,8,6,4,1,3,2,5]=>0111010=>3
[7,1,4,2,5,6,3,8]=>1010010=>6
[7,3,2,1,4,6,5,8]=>1110010=>7
[7,6,1,4,3,2,5,8]=>1101100=>7
[7,4,1,3,5,6,2,8]=>1100010=>7
[2,7,1,3,5,6,8,4]=>0100001=>4
[3,6,2,1,5,8,7,4]=>0110011=>2
[2,3,6,1,5,8,7,4]=>0010011=>1
[3,4,7,1,5,6,8,2]=>0010001=>2
[3,6,7,4,1,2,8,5]=>0011001=>2
[4,3,2,7,1,6,8,5]=>1101001=>6
[7,3,2,8,1,6,4,5]=>1101010=>7
[7,4,8,1,5,6,3,2]=>1010011=>5
[2,6,8,1,5,3,7,4]=>0010101=>1
[6,8,2,1,5,3,7,4]=>0110101=>3
[4,8,2,5,3,6,7,1]=>0101001=>3
[4,5,8,2,3,6,7,1]=>0010001=>2
[2,4,8,5,3,6,7,1]=>0011001=>2
[5,3,2,6,4,8,7,1]=>1101011=>5
[2,4,5,3,8,6,7,1]=>0010101=>1
[4,3,5,2,8,6,7,1]=>1010101=>4
[4,8,5,3,2,6,7,1]=>0111001=>3
[3,5,4,2,8,6,7,1]=>0110101=>3
[4,1,2,7,5,6,8,3]=>1001001=>5
[5,6,7,4,2,8,3,1]=>0011011=>1
[2,5,7,4,6,8,3,1]=>0010011=>1
[7,5,2,4,3,8,6,1]=>1101011=>5
[6,8,1,2,5,4,7,3]=>0100101=>2
[6,4,1,8,5,2,7,3]=>1101101=>5
[2,6,1,8,5,4,7,3]=>0101101=>2
[7,1,2,8,5,6,4,3]=>1001011=>4
[4,3,2,6,8,5,7,1]=>1100101=>6
[3,7,6,4,8,5,2,1]=>0110111=>1
[3,1,6,8,5,4,7,2]=>1001101=>4
[2,3,5,8,4,6,7,1]=>0001001=>1
[3,5,2,8,4,6,7,1]=>0101001=>3
[3,4,5,8,2,6,7,1]=>0001001=>1
[5,4,2,8,3,6,7,1]=>1101001=>6
[5,3,4,8,2,6,7,1]=>1001001=>5
[2,5,4,8,3,6,7,1]=>0101001=>3
[6,3,2,5,8,4,7,1]=>1100101=>6
[6,1,8,3,5,4,7,2]=>1010101=>4
[5,4,8,3,2,6,7,1]=>1011001=>5
[5,8,2,3,4,6,7,1]=>0100001=>4
[6,2,1,7,8,5,4,3]=>1100111=>4
[7,4,6,8,3,2,5,1]=>1001101=>4
[3,4,5,2,7,1,6,8]=>0010100=>3
[7,5,6,1,2,3,8,4]=>1010001=>6
[1,5,7,6,3,2,8,4]=>0011101=>1
[8,4,6,7,3,2,5,1]=>1001101=>4
[8,4,6,2,3,1,5,7]=>1010100=>7
[7,5,2,1,4,3,8,6]=>1110101=>6
[3,1,7,8,5,4,2,6]=>1001110=>4
[3,4,5,2,1,8,6,7]=>0011010=>2
[7,6,4,8,3,1,2,5]=>1101100=>7
[7,4,8,5,6,1,2,3]=>1010100=>7
[6,2,8,5,1,3,4,7]=>1011000=>6
[3,2,7,8,6,1,4,5]=>1001100=>6
[6,8,2,5,1,3,7,4]=>0101001=>3
[6,7,4,2,1,5,3,8]=>0111010=>3
[5,7,4,1,3,6,2,8]=>0110010=>4
[4,2,7,5,1,8,3,6]=>1011010=>6
[4,1,6,5,3,8,2,7]=>1011010=>6
[1,5,4,6,3,8,2,7]=>0101010=>4
[1,8,6,4,7,3,2,5]=>0110110=>3
[4,7,1,8,6,3,5,2]=>0101101=>2
[5,4,8,1,7,3,6,2]=>1010101=>4
[4,3,8,6,2,1,7,5]=>1011101=>4
[8,3,6,2,4,1,7,5]=>1010101=>4
[7,8,3,2,4,6,5,1]=>0110011=>2
[7,2,8,5,3,1,6,4]=>1011101=>4
[2,5,4,8,7,3,6,1]=>0101101=>2
[6,4,2,8,7,3,1,5]=>1101110=>6
[3,6,8,1,7,4,2,5]=>0010110=>2
[7,8,6,3,1,4,5,2]=>0111001=>3
[3,8,6,1,7,5,2,4]=>0110110=>3
[2,7,5,4,8,3,1,6]=>0110110=>3
[6,8,7,5,2,1,3,4]=>0111100=>3
[7,6,2,8,5,1,3,4]=>1101100=>7
[1,5,7,6,2,8,4,3]=>0011011=>1
[1,6,5,2,7,8,4,3]=>0110011=>2
[4,7,8,5,6,2,3,1]=>0010101=>1
[4,7,8,1,2,5,6,3]=>0010001=>2
[8,6,4,1,2,5,7,3]=>1110001=>6
[6,1,4,7,2,5,8,3]=>1001001=>5
[5,6,3,2,7,4,1,8]=>0110110=>3
[2,6,4,3,7,5,8,1]=>0110101=>3
[7,2,3,6,1,8,4,5]=>1001010=>5
[3,4,6,5,7,1,2,8]=>0010100=>3
[7,6,2,3,5,4,8,1]=>1100101=>6
[8,5,2,4,3,6,1,7]=>1101010=>7
[8,5,7,2,4,1,6,3]=>1010101=>4
[2,6,7,5,8,1,4,3]=>0010101=>1
[7,4,8,2,1,5,6,3]=>1011001=>5
[2,3,6,7,8,5,1,4]=>0000110=>2
[8,3,7,1,6,4,2,5]=>1010110=>5
[8,2,1,7,6,5,3,4]=>1101110=>6
[6,5,1,2,8,3,4,7]=>1100100=>7
[5,6,8,1,3,7,2,4]=>0010010=>3
[1,6,8,5,3,2,4,7]=>0011100=>3
[5,8,1,6,7,4,2,3]=>0100110=>3
[7,2,8,4,6,1,3,5]=>1010100=>7
[6,2,7,4,3,8,1,5]=>1011010=>6
[1,7,8,4,6,2,3,5]=>0010100=>3
[7,1,8,4,6,2,3,5]=>1010100=>7
[8,1,6,5,4,7,2,3]=>1011010=>6
[4,1,6,8,7,3,2,5]=>1001110=>4
[5,1,4,6,7,3,8,2]=>1000101=>5
[7,1,3,4,6,2,8,5]=>1000101=>5
[3,4,1,6,2,5,8,7,9]=>01010010=>5
[3,4,1,2,6,5,8,7,9]=>01001010=>4
[3,4,1,6,2,5,8,7,10,9]=>010100101=>3
[3,5,1,6,2,4,8,7,9]=>01010010=>5
[2,5,1,6,3,4,8,7,9]=>01010010=>5
[3,5,1,2,6,4,8,7,9]=>01001010=>4
[2,5,1,3,6,4,8,7,9]=>01001010=>4
[8,7,1,4,6,3,2,5]=>1100110=>6
[6,5,2,8,4,7,1,3]=>1101010=>7
[1,4,7,5,8,6,3,2]=>0010111=>1
[6,1,8,3,4,7,2,5]=>1010010=>6
[1,8,6,3,5,2,7,4]=>0110101=>3
[7,8,1,3,5,4,2,6]=>0100110=>3
[4,7,1,6,8,3,5,2]=>0100101=>2
[3,6,5,2,8,4,1,7]=>0110110=>3
[8,2,5,6,3,1,7,4]=>1001101=>4
[7,1,8,4,2,5,3,6]=>1011010=>6
[1,4,8,7,5,2,6,3]=>0011101=>1
[1,5,6,4,2,3,7,8]=>0011000=>4
[5,8,7,4,2,1,3,6]=>0111100=>3
[3,1,5,2,7,8,6,4]=>1010011=>5
[1,8,7,3,2,5,4,6]=>0111010=>3
[1,2,5,4,8,7,3,6]=>0010110=>2
[1,2,4,8,6,3,5,7]=>0001100=>3
[1,5,2,4,7,3,8,6]=>0100101=>2
[8,6,3,5,7,4,1,2]=>1100110=>6
[8,5,3,2,1,4,7,6]=>1111001=>6
[1,2,7,6,8,4,3,5]=>0010110=>2
[1,6,3,2,5,7,8,4]=>0110001=>4
[1,7,3,4,2,6,8,5]=>0101001=>3
[1,6,3,5,8,4,2,7]=>0100110=>3
[1,5,6,3,2,8,4,7]=>0011010=>2
[1,2,5,8,4,6,3,7]=>0001010=>2
[1,5,3,2,7,8,4,6]=>0110010=>4
[4,1,8,6,2,3,7,5]=>1011001=>5
[7,5,8,6,2,3,4,1]=>1011001=>5
[1,7,6,4,3,8,5,2]=>0111011=>2
[1,8,5,7,6,3,2,4]=>0101110=>2
[1,4,7,3,6,8,5,2]=>0010011=>1
[1,6,3,5,7,8,4,2]=>0100011=>3
[1,5,6,3,2,7,8,4]=>0011001=>2
[1,2,7,6,8,4,5,3]=>0010101=>1
[1,8,4,7,5,3,2,6]=>0101110=>2
[6,8,5,2,1,7,4,3]=>0111011=>2
[1,2,6,8,4,3,7,5]=>0001101=>1
[5,3,7,2,6,4,1,8]=>1010110=>5
[5,3,8,2,6,1,7,4]=>1010101=>4
[7,6,2,5,3,4,1,8]=>1101010=>7
[7,6,2,4,5,3,1,8]=>1100110=>6
[7,6,2,4,3,5,1,8]=>1101010=>7
[7,6,2,3,5,4,1,8]=>1100110=>6
[8,4,2,7,1,6,3,5]=>1101010=>7
[8,7,6,1,5,3,2,4]=>1110110=>7
[8,7,6,1,4,3,5,2]=>1110101=>6
[8,7,6,1,3,5,4,2]=>1110011=>5
[8,7,6,1,5,4,2,3]=>1110110=>7
[8,6,2,7,1,5,3,4]=>1101010=>7
[5,3,7,2,8,1,6,4]=>1010101=>4
[8,3,5,4,2,1,6,7]=>1011100=>5
[7,8,4,3,1,5,2,6]=>0111010=>3
[8,6,3,7,1,5,2,4]=>1101010=>7
[8,7,6,1,2,5,3,4]=>1110010=>7
[8,7,6,1,2,5,4,3]=>1110011=>5
[8,7,6,1,4,2,5,3]=>1110101=>6
[4,7,5,8,6,1,3,2]=>0101101=>2
[6,5,7,3,8,4,1,2]=>1010110=>5
[8,7,5,4,1,2,6,3]=>1111001=>6
[8,6,7,1,5,3,2,4]=>1010110=>5
[7,5,6,1,3,4,2,8]=>1010010=>6
[5,7,8,1,3,4,2,6]=>0010010=>3
[7,8,5,1,3,4,2,6]=>0110010=>4
[5,7,8,3,4,6,1,2]=>0010010=>3
[7,5,1,3,4,2,6,8]=>1100100=>7
[5,7,1,3,4,2,8,6]=>0100101=>2
[7,3,5,6,4,8,1,2]=>1001010=>5
[1,7,3,8,2,5,6,4]=>0101001=>3
[1,5,3,7,8,4,6,2]=>0100101=>2
[1,5,7,3,8,2,6,4]=>0010101=>1
[7,1,5,3,6,2,4,8]=>1010100=>7
[1,7,3,5,8,4,2,6]=>0100110=>3
[1,3,7,5,8,6,2,4]=>0010110=>2
[1,7,8,5,3,6,2,4]=>0011010=>2
[1,7,5,8,3,4,2,6]=>0101010=>4
[7,1,5,6,3,4,2,8]=>1001010=>5
[7,3,5,6,4,1,2,8]=>1001100=>6
[3,7,5,8,4,1,2,6]=>0101100=>3
[7,5,6,8,1,3,4,2]=>1001001=>5
[5,3,4,7,8,1,2,6]=>1000100=>6
[5,3,7,6,8,1,2,4]=>1010100=>7
[3,7,1,2,5,8,4,6]=>0100010=>4
[3,1,2,7,5,8,4,6]=>1001010=>5
[3,1,2,5,7,8,6,4]=>1000011=>5
[7,3,1,5,4,6,2,8]=>1101010=>7
[7,3,5,1,2,6,4,8]=>1010010=>6
[3,7,1,2,8,5,6,4]=>0100101=>2
[5,3,1,7,4,6,8,2]=>1101001=>6
[5,3,7,1,2,6,8,4]=>1010001=>6
[7,4,8,3,5,6,1,2]=>1010010=>6
[2,4,7,3,5,6,1,8]=>0010010=>3
[5,7,6,4,2,3,1,8]=>0111010=>3
[7,4,8,2,5,6,1,3]=>1010010=>6
[5,8,2,4,6,1,3,7]=>0100100=>5
[6,1,4,8,5,2,7,3]=>1001101=>4
[3,4,5,8,1,6,7,2]=>0001001=>1
[6,8,7,4,2,1,5,3]=>0111101=>2
[5,6,8,4,7,3,1,2]=>0010110=>2
[3,1,6,8,5,2,7,4]=>1001101=>4
[2,3,8,1,5,6,4,7]=>0010010=>3
[5,4,8,1,2,6,7,3]=>1010001=>6
[5,1,8,2,4,6,7,3]=>1010001=>6
[4,1,8,2,3,6,7,5]=>1010001=>6
[5,2,3,8,1,7,4,6]=>1001010=>5
[2,3,5,7,1,6,4,8]=>0001010=>2
[1,5,3,8,2,4,6,7]=>0101000=>5
[8,6,2,7,5,1,4,3]=>1101101=>5
[2,7,1,8,6,3,5,4]=>0101101=>2
[5,7,6,1,3,2,8,4]=>0110101=>3
[3,5,4,6,1,7,8,2]=>0101001=>3
[8,1,5,4,6,3,7,2]=>1010101=>4
[8,4,2,5,6,3,7,1]=>1100101=>6
[8,6,2,7,5,4,3,1]=>1101111=>3
[5,4,7,2,8,6,1,3]=>1010110=>5
[3,5,6,4,1,7,2,8]=>0011010=>2
[2,5,6,1,7,4,3,8]=>0010110=>2
[2,7,1,8,6,5,4,3]=>0101111=>1
[3,7,6,1,8,5,4,2]=>0110111=>1
[8,6,4,2,1,3,5,7,9]=>11110000=>8
[8,6,2,1,4,3,5,7,9]=>11101000=>8
[8,4,2,1,6,3,5,7,9]=>11101000=>8
[6,4,2,1,8,3,5,7,9]=>11101000=>8
[8,6,4,2,9,1,3,5,7]=>11101000=>8
[9,6,4,2,7,1,3,5,8]=>11101000=>8
[9,7,4,2,5,1,3,6,8]=>11101000=>8
[9,7,5,2,3,1,4,6,8]=>11101000=>8
[9,7,5,3,1,2,4,6,8]=>11110000=>8
[10,8,6,4,2,1,3,5,7,9]=>111110000=>9
[10,8,6,2,1,4,3,5,7,9]=>111101000=>9
[8,2,1,4,3,6,5,7,9]=>11010100=>8
[10,8,4,2,1,6,3,5,7,9]=>111101000=>9
[4,2,1,6,3,5,8,7,9]=>11010010=>8
[10,6,4,2,1,8,3,5,7,9]=>111101000=>9
[6,4,2,1,8,3,5,9,7]=>11101001=>7
[8,6,4,2,1,10,3,5,7,9]=>111101000=>9
[6,4,2,7,1,3,5,8,9]=>11010000=>8
[8,6,4,2,9,1,3,5,7,10]=>111010000=>9
[6,2,8,3,1,4,5,7]=>1011000=>6
[8,9,4,2,5,1,3,6,7]=>01101000=>5
[9,6,4,2,7,1,3,5,8,10]=>111010000=>9
[2,7,8,3,1,4,5,6]=>0011000=>4
[9,6,7,2,3,1,4,5,8]=>10101000=>8
[9,7,4,2,5,1,3,6,8,10]=>111010000=>9
[9,7,4,5,1,2,3,6,8]=>11010000=>8
[9,7,5,2,3,1,4,6,8,10]=>111010000=>9
[9,7,5,3,1,2,4,6,8,10]=>111100000=>9
[1,5,3,2,8,6,7,4]=>0110101=>3
[1,8,5,3,2,6,7,4]=>0111001=>3
[1,7,8,5,6,3,2,4]=>0010110=>2
[1,5,6,7,3,2,8,4]=>0001101=>1
[1,7,5,2,3,4,8,6]=>0110001=>4
[1,7,5,2,4,8,6,3]=>0110011=>2
[1,6,7,8,3,2,4,5]=>0001100=>3
[1,4,8,6,2,3,5,7]=>0011000=>4
[1,8,4,5,6,7,2,3]=>0100010=>4
[1,2,8,6,3,4,5,7]=>0011000=>4
[1,2,8,6,3,5,7,4]=>0011001=>2
[1,2,7,8,4,3,5,6]=>0001100=>3
[1,8,6,7,4,2,3,5]=>0101100=>3
[1,6,7,8,4,2,3,5]=>0001100=>3
[1,6,7,8,3,4,2,5]=>0001010=>2
[1,7,4,2,3,8,5,6]=>0110010=>4
[1,7,8,4,2,3,5,6]=>0011000=>4
[1,7,3,5,6,2,8,4]=>0100101=>2
[1,7,8,3,4,2,5,6]=>0010100=>3
[1,2,3,7,8,5,4,6]=>0000110=>2
[1,2,7,4,6,3,8,5]=>0010101=>1
[1,7,4,5,2,3,8,6]=>0101001=>3
[1,7,8,4,5,2,3,6]=>0010100=>3
[1,7,8,3,4,5,2,6]=>0010010=>3
[1,2,8,4,5,6,3,7]=>0010010=>3
[1,8,4,5,6,2,3,7]=>0100100=>5
[5,8,2,7,3,4,1,6]=>0101010=>4
[6,8,7,2,3,4,1,5]=>0110010=>4
[3,8,7,5,2,6,1,4]=>0111010=>3
[4,8,7,3,2,5,1,6]=>0111010=>3
[5,3,8,1,6,7,4,2]=>1010011=>5
[5,8,2,1,3,7,6,4]=>0110011=>2
[5,1,8,2,6,4,7,3]=>1010101=>4
[5,1,8,3,6,7,4,2]=>1010011=>5
[3,1,8,4,6,2,7,5]=>1010101=>4
[8,4,1,6,5,2,3,7]=>1101100=>7
[1,8,7,6,4,3,5,2]=>0111101=>2
[6,1,8,7,5,3,4,2]=>1011101=>4
[6,8,7,3,2,4,1,5]=>0111010=>3
[2,3,7,5,6,8,4,1]=>0010011=>1
[3,2,4,7,5,8,1,6]=>1001010=>5
[2,8,7,6,4,5,1,3]=>0111010=>3
[4,8,7,6,3,1,5,2]=>0111101=>2
[3,5,2,4,7,6,8,1]=>0100101=>2
[5,3,2,6,4,7,8,1]=>1101001=>6
[5,3,2,6,7,4,8,1]=>1100101=>6
[5,3,2,7,6,4,8,1]=>1101101=>5
[7,3,5,2,8,4,6,1]=>1010101=>4
[3,5,2,7,4,6,8,1]=>0101001=>3
[3,2,5,7,4,6,8,1]=>1001001=>5
[3,2,7,5,4,8,6,1]=>1011011=>3
[3,7,5,2,4,8,6,1]=>0110011=>2
[2,3,7,5,4,8,6,1]=>0011011=>1
[8,3,5,1,6,4,7,2]=>1010101=>4
[8,4,5,6,1,3,7,2]=>1001001=>5
[3,4,7,6,8,2,5,1]=>0010101=>1
[5,2,8,4,1,3,6,7]=>1011000=>6
[3,8,5,2,1,4,6,7]=>0111000=>4
[7,6,4,1,8,2,5,3]=>1110101=>6
[7,5,4,2,1,6,3,8]=>1111010=>7
[8,1,6,7,3,4,2,5]=>1001010=>5
[8,2,1,6,7,4,3,5]=>1100110=>6
[5,2,8,6,3,7,1,4]=>1011010=>6
[7,6,8,1,2,5,4,3]=>1010011=>5
[1,2,9,3,4,5,6,8,7]=>00100001=>3
[1,2,3,8,4,5,9,6,7]=>00010010=>2
[1,2,3,4,9,5,6,8,7]=>00001001=>1
[2,1,3,4,8,5,7,6]=>1000101=>5
[1,2,3,4,5,9,6,8,7]=>00000101=>1
[7,1,2,3,4,8,5,9,6]=>10000101=>6
[6,9,1,2,3,4,8,5,7]=>01000010=>5
[1,2,10,3,4,5,6,7,9,8]=>001000001=>4
[5,1,9,2,3,4,8,6,7]=>10100010=>7
[1,2,3,9,4,5,6,10,7,8]=>000100010=>3
[4,1,2,3,5,8,6,9,7]=>10000101=>6
[1,2,3,4,10,5,6,7,9,8]=>000010001=>1
[3,1,2,4,9,5,8,6,7]=>10001010=>6
[1,2,3,4,5,10,6,7,9,8]=>000001001=>1
[2,1,3,4,5,9,6,8,7]=>10000101=>6
[1,2,3,4,5,6,9,10,7,8]=>000000010=>2
[10,1,2,3,4,5,6,7,11,8,9]=>1000000010=>9
[8,1,2,3,4,5,9,6,10,7]=>100000101=>7
[1,7,2,3,4,5,9,8,6]=>01000011=>4
[7,10,1,2,3,4,5,9,6,8]=>010000010=>6
[1,6,2,3,4,5,9,8,7]=>01000011=>4
[6,1,2,3,7,4,8,9,5]=>10001001=>6
[6,1,10,2,3,4,5,9,7,8]=>101000010=>8
[5,7,1,2,6,8,3,4]=>0100010=>4
[1,2,3,8,5,4,6,9,7]=>00011001=>1
[5,9,1,2,6,3,4,8,7]=>01001001=>3
[5,1,2,3,4,6,9,7,10,8]=>100000101=>7
[1,4,2,3,5,6,9,8,7]=>01000011=>4
[1,5,2,3,6,8,7,4]=>0100011=>3
[4,1,9,5,2,3,6,8,7]=>10110001=>6
[4,1,2,3,10,5,6,9,7,8]=>100010010=>7
[1,3,2,4,5,6,9,8,7]=>01000011=>4
[3,4,1,2,5,6,8,9,7]=>01000001=>5
[3,1,2,4,5,10,6,9,7,8]=>100001010=>7
[2,3,1,4,9,5,6,8,7]=>01001001=>3
[3,5,7,4,1,8,2,6]=>0011010=>2
[8,6,4,7,5,1,2,3]=>1101100=>7
[8,6,4,1,2,5,3,7]=>1110010=>7
[2,8,4,3,1,6,5,7]=>0111010=>3
[3,8,4,6,1,5,2,7]=>0101010=>4
[8,3,5,6,1,4,7,2]=>1001001=>5
[6,8,7,3,5,4,2,1]=>0110111=>1
[3,1,2,8,5,7,4,6]=>1001010=>5
[8,1,2,3,4,6,9,5,7]=>10000010=>7
[8,1,2,4,6,9,3,5,7]=>10000100=>7
[6,1,2,3,4,5,9,8,7]=>10000011=>6
[5,1,2,3,4,8,6,9,7]=>10000101=>6
[4,1,2,3,9,6,8,5,7]=>10001010=>6
[9,1,2,3,4,5,7,10,6,8]=>100000010=>8
[7,3,1,2,5,8,4,6]=>1100010=>7
[3,1,2,8,4,6,9,5,7]=>10010010=>6
[8,3,5,7,2,1,4,6]=>1001100=>6
[2,1,3,8,5,7,4,6]=>1001010=>5
[2,1,9,4,6,8,3,5,7]=>10100100=>8
[9,1,2,3,5,7,10,4,6,8]=>100000100=>8
[1,8,2,4,6,9,3,5,7]=>01000100=>6
[9,1,3,5,7,10,2,4,6,8]=>100001000=>8
[7,3,1,2,8,4,5,6]=>1100100=>7
[2,1,4,7,6,3,5,8]=>1001100=>6
[7,2,4,5,3,8,1,6]=>1001010=>5
[8,4,2,5,6,7,3,1]=>1100011=>5
[5,4,1,6,3,7,8,2]=>1101001=>6
[4,5,1,3,6,7,8,2]=>0100001=>4
[5,1,7,6,3,4,8,2]=>1011001=>5
[6,1,7,5,4,8,2,3]=>1011010=>6
[3,7,2,1,6,8,4,5]=>0110010=>4
[1,5,8,2,4,7,6,3]=>0010011=>1
[5,8,1,6,4,7,3,2]=>0101011=>1
[3,8,6,5,7,2,4,1]=>0110101=>3
[6,8,1,4,7,3,5,2]=>0100101=>2
[1,6,8,2,7,4,5,3]=>0010101=>1
[5,7,2,1,8,4,3,6]=>0110110=>3
[5,7,1,6,8,3,2,4]=>0100110=>3
[5,6,2,1,8,3,4,7]=>0110100=>4
[6,4,1,7,3,8,2,5]=>1101010=>7
[8,2,5,6,7,1,4,3]=>1000101=>5
[7,2,4,6,8,3,1,5]=>1000110=>5
[6,2,4,7,8,1,3,5]=>1000100=>6
[6,1,4,3,2,8,5,7]=>1011010=>6
[2,7,4,8,6,1,5,3]=>0101101=>2
[2,4,8,6,5,7,3,1]=>0011011=>1
[3,7,8,6,4,2,5,1]=>0011101=>1
[6,2,8,4,7,5,1,3]=>1010110=>5
[4,5,7,3,6,8,1,2]=>0010010=>3
[3,4,7,8,6,5,1,2]=>0001110=>2
[1,4,7,2,6,8,5,3]=>0010011=>1
[2,3,7,6,5,1,4,8]=>0011100=>3
[3,2,7,6,4,1,5,8]=>1011100=>5
[6,2,3,5,7,1,4,8]=>1000100=>6
[7,8,1,2,5,6,4,3]=>0100011=>3
[7,1,3,6,8,5,2,4]=>1000110=>5
[4,2,8,5,1,6,3,7]=>1011010=>6
[6,5,8,1,4,2,3,7]=>1010100=>7
[3,8,2,4,5,1,6,7]=>0100100=>5
[3,6,2,4,1,5,7,8]=>0101000=>5
[2,3,8,4,1,6,5,7]=>0011010=>2
[4,5,7,3,1,6,2,8]=>0011010=>2
[2,3,1,4,8,5,7,6]=>0100101=>2
[4,2,6,1,5,8,7,3]=>1010011=>5
[7,5,1,8,4,3,6,2]=>1101101=>5
[3,1,8,5,7,6,4,2]=>1010111=>3
[5,1,8,7,4,6,3,2]=>1011011=>3
[2,4,8,7,5,1,3,6]=>0011100=>3
[3,5,7,6,1,8,4,2]=>0011011=>1
[3,5,7,6,2,8,4,1]=>0011011=>1
[1,5,3,2,8,7,6,4]=>0110111=>1
[6,1,4,3,8,7,5,2]=>1010111=>3
[6,3,1,8,7,4,2,5]=>1101110=>6
[5,3,6,2,8,7,4,1]=>1010111=>3
[6,3,5,2,1,8,7,4]=>1011011=>3
[2,8,4,1,3,7,6,5]=>0110011=>2
[3,8,1,4,7,6,5,2]=>0100111=>2
[6,2,3,8,7,5,4,1]=>1001111=>3
[4,1,3,5,8,7,6,2]=>1000111=>4
[3,4,7,5,8,1,2,6]=>0010100=>3
[2,7,8,3,4,1,5,6]=>0010100=>3
[2,8,6,7,5,4,3,1]=>0101111=>1
[7,2,6,8,1,4,3,5]=>1001010=>5
[5,3,6,2,8,4,7,1]=>1010101=>4
[8,1,6,3,7,4,5,2]=>1010101=>4
[2,4,3,7,1,8,6,5]=>0101011=>1
[2,6,5,7,3,8,4,1]=>0101011=>1
[6,8,2,7,4,1,5,3]=>0101101=>2
[6,1,7,8,5,3,2,4]=>1001110=>4
[2,6,5,4,7,1,8,3]=>0110101=>3
[5,8,3,4,6,1,7,2]=>0100101=>2
[6,1,7,4,2,5,8,3]=>1011001=>5
[6,8,7,1,5,4,2,3]=>0110110=>3
[4,8,3,1,5,7,6,2]=>0110011=>2
[5,3,8,2,7,1,6,4]=>1010101=>4
[8,3,4,5,2,7,1,6]=>1001010=>5
[8,2,6,7,1,5,3,4]=>1001010=>5
[7,1,5,2,6,3,4,8]=>1010100=>7
[3,7,1,5,2,6,8,4]=>0101001=>3
[6,7,1,8,3,4,5,2]=>0101001=>3
[3,7,1,6,8,4,5,2]=>0100101=>2
[3,8,5,2,6,7,1,4]=>0110010=>4
[3,6,5,2,7,1,4,8]=>0110100=>4
[6,8,3,4,7,1,5,2]=>0100101=>2
[3,7,1,6,5,2,8,4]=>0101101=>2
[8,3,5,2,7,1,6,4]=>1010101=>4
[3,8,6,4,7,1,5,2]=>0110101=>3
[3,7,1,4,8,6,5,2]=>0100111=>2
[3,7,1,4,5,2,8,6]=>0100101=>2
[2,3,7,6,5,8,1,4]=>0011010=>2
[4,3,5,6,7,8,9,1,2]=>10000010=>7
[6,7,8,5,4,3,2,1,9]=>00111110=>2
[6,5,7,8,4,3,2,1,9]=>10011110=>4
[6,5,4,7,8,3,2,1,9]=>11001110=>6
[6,5,4,3,7,8,2,1,9]=>11100110=>8
[6,5,4,3,2,7,8,1,9]=>11110010=>8
[7,8,9,5,4,3,2,1,6]=>00111110=>2
[7,8,9,6,5,4,3,2,1,10]=>001111110=>2
[6,7,8,9,4,3,2,1,5]=>00011110=>2
[7,6,8,9,5,4,3,2,1,10]=>100111110=>4
[6,5,7,8,9,3,2,1,4]=>10001110=>5
[7,6,5,8,9,4,3,2,1,10]=>110011110=>6
[6,5,4,7,8,9,2,1,3]=>11000110=>7
[7,6,5,4,8,9,3,2,1,10]=>111001110=>8
[6,5,4,3,7,8,9,1,2]=>11100010=>8
[7,6,5,4,3,8,9,2,1,10]=>111100110=>9
[6,5,4,3,2,7,8,9,1]=>11110001=>7
[7,6,5,4,3,2,8,9,1,10]=>111110010=>9
[2,1,4,3,7,9,5,11,6,12,8,10]=>10100101010=>8
[2,1,4,3,8,9,11,5,6,12,7,10]=>10100010010=>10
[2,1,5,6,3,4,8,7,11,12,9,10]=>10010010010=>8
[2,1,5,6,3,4,9,11,7,12,8,10]=>10010001010=>9
[2,1,5,6,3,4,10,11,12,7,8,9]=>10010000100=>10
[2,1,5,7,3,8,4,6,11,12,9,10]=>10010100010=>9
[2,1,5,7,3,9,4,11,6,12,8,10]=>10010101010=>7
[2,1,5,8,3,9,11,4,6,12,7,10]=>10010010010=>8
[2,1,5,8,3,10,11,4,12,6,7,9]=>10010010100=>9
[2,1,5,9,3,10,11,12,4,6,7,8]=>10010001000=>11
[2,1,6,7,8,3,4,5,11,12,9,10]=>10001000010=>10
[2,1,6,7,9,3,4,11,5,12,8,10]=>10001001010=>8
[2,1,6,7,10,3,4,11,12,5,8,9]=>10001000100=>9
[2,1,6,8,9,3,11,4,5,12,7,10]=>10001010010=>8
[2,1,6,8,10,3,11,4,12,5,7,9]=>10001010100=>8
[2,1,6,9,10,3,11,12,4,5,7,8]=>10001001000=>10
[2,1,7,8,9,11,3,4,5,12,6,10]=>10000100010=>9
[2,1,7,8,10,11,3,4,12,5,6,9]=>10000100100=>9
[2,1,7,9,10,11,3,12,4,5,6,8]=>10000101000=>9
[2,1,8,9,10,11,12,3,4,5,6,7]=>10000010000=>10
[3,5,7,6,8,2,1,4]=>0010110=>2
[4,2,5,3,7,6,1,8]=>1010110=>5
[6,2,4,3,7,5,1,8]=>1010110=>5
[1,3,6,4,7,5,2,8]=>0010110=>2
[8,2,5,3,6,4,1,7]=>1010110=>5
[7,2,5,3,6,4,1,8]=>1010110=>5
[6,2,5,3,7,4,1,8]=>1010110=>5
[4,2,6,3,7,5,1,8]=>1010110=>5
[5,2,7,3,6,4,1,8]=>1010110=>5
[7,3,6,2,5,4,1,8]=>1010110=>5
[6,3,8,2,5,4,1,7]=>1010110=>5
[7,3,1,4,6,5,2,8]=>1100110=>6
[8,3,7,2,5,4,1,6]=>1010110=>5
[5,2,8,3,6,4,1,7]=>1010110=>5
[3,2,8,4,6,5,1,7]=>1010110=>5
[1,4,7,3,6,5,2,8]=>0010110=>2
[8,2,5,4,1,6,3,7]=>1011010=>6
[8,2,6,4,1,5,3,7]=>1011010=>6
[1,4,8,3,7,5,2,6]=>0010110=>2
[6,2,1,4,8,5,3,7]=>1100110=>6
[5,2,1,4,8,6,3,7]=>1100110=>6
[3,2,1,5,8,6,4,7]=>1100110=>6
[4,2,8,3,7,5,1,6]=>1010110=>5
[5,2,8,3,7,4,1,6]=>1010110=>5
[8,3,7,2,6,4,1,5]=>1010110=>5
[7,3,1,4,8,5,2,6]=>1100110=>6
[1,3,7,4,8,5,2,6]=>0010110=>2
[8,2,6,3,7,4,1,5]=>1010110=>5
[7,2,6,3,8,4,1,5]=>1010110=>5
[5,2,7,3,8,4,1,6]=>1010110=>5
[3,2,7,4,8,5,1,6]=>1010110=>5
[5,2,6,3,8,4,1,7]=>1010110=>5
[6,2,5,3,8,4,1,7]=>1010110=>5
[7,2,5,3,8,4,1,6]=>1010110=>5
[8,2,5,3,7,4,1,6]=>1010110=>5
[1,3,6,4,8,5,2,7]=>0010110=>2
[1,3,5,4,8,6,2,7]=>0010110=>2
[8,2,4,3,7,5,1,6]=>1010110=>5
[7,2,4,3,8,5,1,6]=>1010110=>5
[6,2,4,3,8,5,1,7]=>1010110=>5
[5,2,4,3,8,6,1,7]=>1010110=>5
[4,2,5,3,8,6,1,7]=>1010110=>5
[4,2,5,3,1,7,6,8]=>1011010=>6
[6,2,4,3,1,7,5,8]=>1011010=>6
[7,2,4,3,1,6,5,8]=>1011010=>6
[8,5,1,3,6,4,2,7]=>1100110=>6
[8,4,1,3,6,5,2,7]=>1100110=>6
[1,5,2,4,7,6,3,8]=>0100110=>3
[7,2,5,3,1,6,4,8]=>1011010=>6
[6,2,5,3,1,7,4,8]=>1011010=>6
[4,2,6,3,1,7,5,8]=>1011010=>6
[3,2,6,4,1,7,5,8]=>1011010=>6
[3,2,7,4,1,6,5,8]=>1011010=>6
[4,2,7,3,1,6,5,8]=>1011010=>6
[5,2,7,3,1,6,4,8]=>1011010=>6
[6,2,7,3,1,5,4,8]=>1011010=>6
[7,2,6,3,1,5,4,8]=>1011010=>6
[1,5,2,4,8,6,3,7]=>0100110=>3
[8,4,1,3,7,5,2,6]=>1100110=>6
[6,2,1,5,3,7,4,8]=>1101010=>7
[3,2,1,6,4,7,5,8]=>1101010=>7
[3,2,8,5,1,6,4,7]=>1011010=>6
[6,2,8,4,1,5,3,7]=>1011010=>6
[8,3,7,4,1,5,2,6]=>1011010=>6
[7,1,3,2,5,6,4,8]=>1010010=>6
[6,3,5,2,4,8,1,7]=>1010010=>6
[1,5,2,8,7,4,3,6]=>0101110=>2
[5,7,2,8,1,4,3,6]=>0101010=>4
[4,8,3,1,5,2,7,6]=>0110101=>3
[7,1,5,3,2,6,8,4]=>1011001=>5
[3,1,5,7,8,6,2,4]=>1000110=>5
[8,7,6,5,3,2,1,4,9]=>11111100=>8
[8,7,6,4,3,2,1,5,9]=>11111100=>8
[8,7,5,4,3,2,1,6,9]=>11111100=>8
[8,7,6,5,4,1,2,3,9]=>11111000=>8
[9,8,7,6,5,4,2,1,3,10]=>111111100=>9
[8,7,6,5,2,3,1,4,9]=>11110100=>8
[9,8,7,6,5,3,2,1,4,10]=>111111100=>9
[8,7,6,3,4,2,1,5,9]=>11101100=>8
[9,8,7,6,4,3,2,1,5,10]=>111111100=>9
[8,7,4,5,3,2,1,6,9]=>11011100=>7
[9,8,7,5,4,3,2,1,6,10]=>111111100=>9
[8,5,6,4,3,2,1,7,9]=>10111100=>5
[9,8,6,5,4,3,2,1,7,10]=>111111100=>9
[6,7,5,4,3,2,1,8,9]=>01111100=>3
[8,6,2,3,1,5,7,4]=>1101001=>6
[2,5,1,7,4,8,6,3]=>0101011=>1
[8,6,7,3,5,2,1,4]=>1010110=>5
[1,4,2,7,3,6,8,5]=>0101001=>3
[3,2,1,7,8,5,4,6]=>1100110=>6
[7,3,4,2,1,5,8,6]=>1011001=>5
[1,7,6,3,2,4,8,5]=>0111001=>3
[2,1,6,4,7,8,5,3]=>1010011=>5
[1,6,3,2,4,7,8,5]=>0110001=>4
[1,2,3,7,5,8,4,6]=>0001010=>2
[1,8,5,3,2,4,7,6]=>0111001=>3
[4,7,8,1,5,6,2,3]=>0010010=>3
[3,6,7,1,8,4,2,5]=>0010110=>2
[1,3,7,6,2,4,5,8]=>0011000=>4
[2,7,3,8,4,5,6,1]=>0101001=>3
[7,1,4,3,8,5,6,2]=>1010101=>4
[5,6,2,7,8,3,4,1]=>0100101=>2
[7,4,1,8,5,6,2,3]=>1101010=>7
[7,2,5,8,1,6,3,4]=>1001010=>5
[6,4,8,1,5,7,2,3]=>1010010=>6
[2,7,4,1,3,6,8,5]=>0110001=>4
[5,2,1,8,4,6,7,3]=>1101001=>6
[6,2,1,4,7,5,8,3]=>1100101=>6
[6,8,7,9,5,4,3,2,1]=>01011111=>1
[5,8,7,6,9,4,3,2,1]=>01101111=>1
[4,8,7,6,5,9,3,2,1]=>01110111=>2
[3,8,7,6,5,4,9,2,1]=>01111011=>2
[2,8,7,6,5,4,3,9,1]=>01111101=>2
[1,2,8,4,6,3,5,7]=>0010100=>3
[2,6,1,5,4,7,3,8]=>0101010=>4
[1,2,8,5,4,6,3,7]=>0011010=>2
[1,3,6,8,4,5,7,2]=>0001001=>1
[1,2,8,4,6,3,7,5]=>0010101=>1
[4,6,3,5,7,8,1,2]=>0100010=>4
[2,7,6,5,1,4,8,3]=>0111001=>3
[2,7,4,8,1,3,6,5]=>0101001=>3
[2,3,6,8,4,1,7,5]=>0001101=>1
[1,2,6,8,4,7,5,3]=>0001011=>1
[1,7,2,8,6,3,5,4]=>0101101=>2
[2,3,8,5,4,7,1,6]=>0011010=>2
[1,2,8,4,7,3,5,6]=>0010100=>3
[2,6,1,4,8,3,7,5]=>0100101=>2
[3,7,6,5,2,1,4,8]=>0111100=>3
[2,5,6,1,4,8,7,3]=>0010011=>1
[8,4,2,3,7,1,6,5]=>1100101=>6
[5,2,4,8,7,3,1,6]=>1001110=>4
[3,2,4,6,7,8,1,5]=>1000010=>6
[5,2,6,8,1,3,7,4]=>1001001=>5
[4,8,1,6,3,7,5,2]=>0101011=>1
[7,1,5,2,6,4,3,8]=>1010110=>5
[8,3,5,2,6,1,4,7]=>1010100=>7
[1,8,5,6,2,7,4,3]=>0101011=>1
[4,2,7,6,1,8,5,3]=>1011011=>3
[7,2,4,8,6,3,5,1]=>1001101=>4
[7,3,2,1,8,5,4,6]=>1110110=>7
[7,3,2,1,6,4,8,5]=>1110101=>6
[3,6,5,2,1,8,4,7]=>0111010=>3
[6,7,2,4,3,5,8,1]=>0101001=>3
[4,5,3,7,2,1,6,8]=>0101100=>3
[4,3,8,2,1,5,7,6]=>1011001=>5
[4,3,2,8,1,6,7,5]=>1101001=>6
[4,5,8,3,2,7,1,6]=>0011010=>2
[6,8,5,2,7,3,4,1]=>0110101=>3
[5,4,7,8,2,3,6,1]=>1001001=>5
[4,3,8,2,1,6,7,5]=>1011001=>5
[1,9,2,4,5,6,7,8,3]=>01000001=>5
[9,1,3,4,5,6,7,8,2]=>10000001=>7
[3,5,7,4,6,2,8,1]=>0010101=>1
[5,3,7,6,2,4,8,1]=>1011001=>5
[4,6,7,2,5,3,8,1]=>0010101=>1
[6,4,7,8,3,1,5,2]=>1001101=>4
[8,4,7,3,1,5,6,2]=>1011001=>5
[5,8,1,7,6,4,2,3]=>0101110=>2
[5,6,7,1,8,3,4,2]=>0010101=>1
[7,1,8,6,2,5,4,3]=>1011011=>3
[8,5,1,7,6,4,2,3]=>1101110=>6
[1,5,8,2,6,4,7,3]=>0010101=>1
[1,5,7,4,6,8,3,2]=>0010011=>1
[1,4,7,5,6,8,3,2]=>0010011=>1
[5,6,7,4,8,1,3,2]=>0010101=>1
[8,1,2,6,4,5,7,3]=>1001001=>5
[4,8,1,7,2,5,6,3]=>0101001=>3
[2,6,7,1,5,4,8,3]=>0010101=>1
[3,2,7,6,5,8,1,4]=>1011010=>6
[1,7,3,4,5,8,2,6]=>0100010=>4
[7,1,8,4,5,6,3,2]=>1010011=>5
[10,1,3,4,5,6,7,8,9,2]=>100000001=>8
[1,8,3,4,5,6,9,2,7]=>01000010=>5
[8,2,3,4,5,1,9,7,6]=>10001011=>5
[1,2,7,4,5,8,3,6]=>0010010=>3
[8,1,9,4,5,6,7,3,2]=>10100011=>6
[7,9,3,4,5,6,1,8,2]=>01000101=>3
[10,2,3,4,5,6,7,8,11,1,9]=>1000000010=>9
[1,9,3,4,5,6,7,10,2,8]=>010000010=>6
[9,2,3,4,5,6,1,10,8,7]=>100001011=>6
[1,2,8,4,5,6,9,3,7]=>00100010=>4
[7,8,3,4,5,2,9,1,6]=>01001010=>4
[8,2,3,4,1,6,9,7,5]=>10010011=>5
[6,7,3,2,5,8,1,4]=>0110010=>4
[8,1,3,9,5,6,7,4,2]=>10010011=>5
[6,1,8,4,5,3,7,2]=>1010101=>4
[7,8,9,4,5,6,3,1,2]=>00100110=>2
[9,1,10,4,5,6,7,8,3,2]=>101000011=>7
[6,9,3,4,5,1,7,8,2]=>01001001=>3
[8,10,3,4,5,6,7,1,9,2]=>010000101=>4
[4,6,2,5,1,8,7,3]=>0101011=>1
[5,1,4,6,2,8,7,3]=>1001011=>4
[7,3,5,2,1,6,8,4]=>1011001=>5
[8,5,1,2,6,3,7,4]=>1100101=>6
[1,5,8,7,4,6,3,2]=>0011011=>1
[5,7,2,1,3,6,8,4]=>0110001=>4
[3,7,2,6,8,1,5,4]=>0100101=>2
[7,4,8,6,5,1,3,2]=>1011101=>4
[2,7,6,8,5,1,4,3]=>0101101=>2
[1,6,4,5,7,3,8,2]=>0100101=>2
[1,5,4,7,8,6,2,3]=>0100110=>3
[7,3,1,6,8,2,5,4]=>1100101=>6
[7,1,6,8,5,2,4,3]=>1001101=>4
[3,5,8,7,6,4,1,2]=>0011110=>2
[1,5,7,8,6,2,4,3]=>0001101=>1
[3,6,2,1,4,7,8,5]=>0110001=>4
[6,8,2,7,5,4,3,1]=>0101111=>1
[5,8,1,7,6,4,3,2]=>0101111=>1
[10,6,1,2,3,4,9,5,7,8]=>110000100=>9
[10,7,1,2,3,4,9,5,6,8]=>110000100=>9
[9,10,1,2,3,4,8,5,6,7]=>010000100=>6
[10,1,5,2,3,4,6,7,8,9]=>101000000=>9
[10,1,2,5,3,4,6,7,8,9]=>100100000=>9
[5,1,2,3,10,4,6,7,8,9]=>100010000=>9
[7,6,1,2,3,4,10,9,5,8]=>110000110=>8
[9,7,1,2,3,4,8,5,10,6]=>110000101=>8
[5,9,1,2,3,4,6,7,10,8]=>010000001=>6
[10,8,4,9,1,2,3,5,6,7]=>110100000=>9
[2,10,1,5,3,4,6,7,8,9]=>010100000=>7
[3,1,5,2,10,4,6,7,8,9]=>101010000=>9
[4,1,2,10,3,5,6,7,8,9]=>100100000=>9
[4,1,5,6,7,8,9,2,3]=>10000010=>7
[2,3,4,5,8,9,1,6,7]=>00000100=>3
[8,6,3,2,1,5,4,7]=>1111010=>7
[8,5,3,2,4,1,7,6]=>1110101=>6
[7,5,2,4,3,6,8,1]=>1101001=>6
[8,5,1,4,6,3,2,7]=>1100110=>6
[8,5,1,6,3,4,2,7]=>1101010=>7
[8,4,3,6,1,5,2,7]=>1101010=>7
[8,4,3,5,2,1,7,6]=>1101101=>5
[6,4,3,2,8,7,1,5]=>1110110=>7
[8,5,1,4,3,7,2,6]=>1101010=>7
[8,5,4,2,1,3,7,6]=>1111001=>6
[4,7,3,6,1,8,5,2]=>0101011=>1
[7,6,2,4,1,5,8,3]=>1101001=>6
[8,1,6,3,7,4,2,5]=>1010110=>5
[5,3,8,2,6,7,1,4]=>1010010=>6
[8,2,5,1,7,6,3,4]=>1010110=>5
[8,2,4,6,3,7,1,5]=>1001010=>5
[7,2,6,4,3,5,8,1]=>1011001=>5
[7,3,6,2,4,5,8,1]=>1010001=>6
[8,3,7,2,1,4,6,5]=>1011001=>5
[7,6,4,1,3,2,8,5]=>1110101=>6
[7,3,8,2,1,5,6,4]=>1011001=>5
[6,2,5,7,4,3,8,1]=>1001101=>4
[6,2,5,4,8,7,1,3]=>1010110=>5
[7,2,4,8,5,1,6,3]=>1001101=>4
[4,2,7,6,8,5,1,3]=>1010110=>5
[7,1,6,2,8,5,4,3]=>1010111=>3
[7,1,6,3,8,5,2,4]=>1010110=>5
[7,2,6,8,1,3,5,4]=>1001001=>5
[7,2,8,5,1,3,6,4]=>1011001=>5
[7,1,8,5,3,2,6,4]=>1011101=>4
[7,1,8,2,5,6,4,3]=>1010011=>5
[6,1,5,8,7,2,4,3]=>1001101=>4
[6,1,5,7,4,8,3,2]=>1001011=>4
[6,1,5,7,8,3,4,2]=>1000101=>5
[4,6,7,3,1,8,5,2]=>0011011=>1
[4,2,6,3,1,8,7,5]=>1011011=>3
[6,1,4,2,5,8,7,3]=>1010011=>5
[1,5,3,8,4,6,2,7]=>0101010=>4
[7,2,3,5,8,4,1,6]=>1000110=>5
[7,6,4,2,8,5,1,3]=>1110110=>7
[1,7,6,4,8,5,3,2]=>0110111=>1
[8,7,4,2,1,5,6,3]=>1111001=>6
[8,2,3,5,1,4,6,7]=>1001000=>7
[8,7,4,1,3,2,6,5]=>1110101=>6
[7,1,4,8,3,6,2,5]=>1001010=>5
[4,1,8,5,7,6,2,3]=>1010110=>5
[3,7,5,8,4,2,1,6]=>0101110=>2
[6,1,5,8,3,4,2,7]=>1001010=>5
[6,7,5,1,3,2,4,8]=>0110100=>4
[5,2,6,1,7,3,4,8]=>1010100=>7
[4,2,6,8,3,7,1,5]=>1001010=>5
[6,8,5,1,4,2,3,7]=>0110100=>4
[7,8,4,5,1,3,6,2]=>0101001=>3
[1,7,8,5,3,4,6,2]=>0011001=>2
[1,5,8,3,6,4,7,2]=>0010101=>1
[6,3,8,1,4,2,7,5]=>1010101=>4
[4,8,1,5,6,3,7,2]=>0100101=>2
[1,8,2,6,5,3,7,4]=>0101101=>2
[3,8,1,7,2,6,5,4]=>0101011=>1
[7,3,8,1,2,6,5,4]=>1010011=>5
[8,1,4,2,3,5,7,6]=>1010001=>6
[8,1,2,4,6,5,7,3]=>1000101=>5
[5,1,8,3,7,4,6,2]=>1010101=>4
[8,3,7,1,5,4,6,2]=>1010101=>4
[8,4,7,1,5,3,6,2]=>1010101=>4
[7,2,5,3,4,6,1,8]=>1010010=>6
[7,6,4,2,5,3,1,8]=>1110110=>7
[5,8,4,3,6,2,7,1]=>0110101=>3
[1,7,2,6,3,4,8,5]=>0101001=>3
[7,5,1,6,3,2,4,8]=>1101100=>7
[7,1,2,6,3,4,5,8]=>1001000=>7
[7,2,5,1,6,3,4,8]=>1010100=>7
[7,3,1,4,6,2,5,8]=>1100100=>7
[7,1,6,5,4,2,3,8]=>1011100=>5
[5,8,4,3,1,7,2,6]=>0111010=>3
[3,6,8,5,2,4,7,1]=>0011001=>2
[5,7,8,4,3,2,6,1]=>0011101=>1
[1,3,8,4,7,2,6,5]=>0010101=>1
[3,2,1,4,5,8,6,7]=>1100010=>7
[6,7,1,3,2,8,5,4]=>0101011=>1
[1,5,3,2,6,8,4,7]=>0110010=>4
[3,7,6,5,8,2,4,1]=>0110101=>3
[5,7,4,2,8,6,1,3]=>0110110=>3
[5,4,3,7,8,2,6,1]=>1100101=>6
[3,8,5,7,6,2,4,1]=>0101101=>2
[1,3,6,8,7,2,5,4]=>0001101=>1
[5,8,7,1,4,2,3,6]=>0110100=>4
[2,6,3,7,1,4,5,8]=>0101000=>5
[6,5,1,2,4,7,8,3]=>1100001=>6
[7,6,8,4,3,1,5,2]=>1011101=>4
[1,7,6,5,3,2,4,8]=>0111100=>3
[2,7,6,5,4,1,3,8]=>0111100=>3
[6,2,3,5,8,4,1,7]=>1000110=>5
[4,7,6,1,5,8,3,2]=>0110011=>2
[9,8,7,6,5,4,2,3,1]=>11111101=>7
[2,3,9,8,7,6,5,4,1]=>00111111=>1
[9,1,3,2,4,5,6,7,8]=>10100000=>8
[6,8,7,1,5,4,3,2]=>0110111=>1
[8,7,4,6,5,1,3,2]=>1101101=>5
[9,8,7,1,6,5,4,3,2]=>11101111=>4
[9,8,7,6,1,5,4,3,2]=>11110111=>5
[9,8,7,6,5,1,4,3,2]=>11111011=>6
[9,10,1,8,7,6,5,4,3,2]=>010111111=>1
[10,9,1,8,7,6,5,4,3,2]=>110111111=>3
[10,9,8,1,7,6,5,4,3,2]=>111011111=>4
[10,9,8,7,1,6,5,4,3,2]=>111101111=>5
[10,9,8,7,6,1,5,4,3,2]=>111110111=>6
[10,9,8,7,6,5,1,4,3,2]=>111111011=>7
[10,9,8,7,6,5,4,1,3,2]=>111111101=>8
[3,5,2,4,7,6,9,8,1]=>01001011=>2
[2,4,3,6,5,8,7,1,9]=>01010110=>2
[3,2,5,4,7,6,9,8,1,10]=>101010110=>6
[2,4,3,6,5,8,7,10,9,1]=>010101011=>1
[7,2,6,1,5,8,3,4]=>1010010=>6
[4,7,3,8,6,2,5,1]=>0101101=>2
[4,7,3,6,8,2,1,5]=>0100110=>3
[5,4,7,3,8,2,1,6]=>1010110=>5
[8,7,2,4,6,3,5,1]=>1100101=>6
[4,3,5,7,2,6,1,8]=>1001010=>5
[1,7,2,8,5,4,3,6]=>0101110=>2
[5,4,8,3,6,2,1,7]=>1010110=>5
[6,8,2,5,7,1,4,3]=>0100101=>2
[3,8,6,2,7,5,1,4]=>0110110=>3
[5,8,4,2,7,3,6,1]=>0110101=>3
[8,2,7,3,4,5,1,6]=>1010010=>6
[8,1,5,2,4,6,3,7]=>1010010=>6
[8,6,1,3,4,5,7,2]=>1100001=>6
[8,5,1,2,4,6,7,3]=>1100001=>6
[2,6,8,7,3,4,5,1]=>0011001=>2
[1,7,8,5,6,4,2,3]=>0010110=>2
[8,3,1,2,4,6,7,5]=>1100001=>6
[3,1,7,5,8,2,4,6]=>1010100=>7
[8,1,3,2,4,6,5,7]=>1010010=>6
[8,1,5,6,4,2,3,7]=>1001100=>6
[8,1,6,5,4,3,2,7]=>1011110=>4
[2,6,8,1,5,4,3,7]=>0010110=>2
[5,2,1,7,6,3,8,4]=>1101101=>5
[3,5,8,2,1,4,7,6]=>0011001=>2
[4,2,8,5,3,7,6,1]=>1011011=>3
[4,2,7,5,3,8,6,1]=>1011011=>3
[6,4,5,1,8,3,2,7]=>1010110=>5
[5,4,7,8,3,1,2,6]=>1001100=>6
[4,5,8,1,3,7,2,6]=>0010010=>3
[1,5,3,6,8,7,2,4]=>0100110=>3
[7,6,2,8,1,4,3,5]=>1101010=>7
[4,7,2,6,8,3,5,1]=>0100101=>2
[6,3,2,8,7,4,5,1]=>1101101=>5
[7,4,3,8,5,6,2,1]=>1101011=>5
[3,1,5,8,7,6,2,4]=>1001110=>4
[8,2,1,6,5,7,3,4]=>1101010=>7
[3,1,8,6,5,7,2,4]=>1011010=>6
[1,2,7,6,4,5,8,3]=>0011001=>2
[7,2,6,5,1,8,3,4]=>1011010=>6
[4,2,8,5,6,3,1,7]=>1010110=>5
[4,7,3,2,5,1,6,8]=>0110100=>4
[4,2,5,3,8,7,1,6]=>1010110=>5
[7,2,5,3,8,4,6,1]=>1010101=>4
[3,6,8,1,7,4,5,2]=>0010101=>1
[8,7,3,2,5,4,6,1]=>1110101=>6
[7,5,6,1,8,3,2,4]=>1010110=>5
[4,5,6,2,7,3,1,8]=>0010110=>2
[5,3,4,7,1,6,2,8]=>1001010=>5
[3,5,1,4,6,8,2,7]=>0100010=>4
[8,5,7,4,2,1,3,6]=>1011100=>5
[2,3,7,4,1,8,6,5]=>0011011=>1
[2,4,5,1,8,6,3,7]=>0010110=>2
[2,4,1,6,7,5,3,8]=>0100110=>3
[6,3,7,1,5,2,4,8]=>1010100=>7
[4,1,3,7,8,2,6,5]=>1000101=>5
[7,1,4,8,6,5,2,3]=>1001110=>4
[8,3,4,2,1,7,5,6]=>1011010=>6
[1,4,5,3,8,6,7,2]=>0010101=>1
[4,6,2,7,5,8,1,3]=>0101010=>4
[7,3,2,5,1,8,4,6]=>1101010=>7
[7,8,1,4,2,3,5,6]=>0101000=>5
[6,5,2,4,8,7,1,3]=>1100110=>6
[8,5,2,4,1,3,7,6]=>1101001=>6
[5,1,2,4,3,6,8,7]=>1001001=>5
[5,2,1,4,3,7,6,8]=>1101010=>7
[8,6,2,7,5,3,1,4]=>1101110=>6
[6,2,1,5,8,3,4,7]=>1100100=>7
[2,3,8,7,1,5,4,6]=>0011010=>2
[4,3,8,1,5,2,6,7]=>1010100=>7
[4,1,3,6,7,2,8,5]=>1000101=>5
[7,1,4,5,8,2,6,3]=>1000101=>5
[6,1,3,2,4,5,8,7]=>1010001=>6
[3,5,1,2,4,7,6,9,8]=>01000101=>3
[3,7,8,6,5,1,2,4]=>0011100=>3
[8,4,5,7,2,6,3,1]=>1001011=>4
[4,5,8,2,7,3,1,6]=>0010110=>2
[6,5,8,2,7,3,1,4]=>1010110=>5
[6,4,8,2,7,3,1,5]=>1010110=>5
[7,8,1,3,6,4,2,5]=>0100110=>3
[4,3,8,2,7,5,1,6]=>1010110=>5
[4,5,7,8,3,2,1,6]=>0001110=>2
[5,7,3,4,2,6,8,1]=>0101001=>3
[5,7,4,2,3,6,8,1]=>0110001=>4
[5,4,7,3,2,8,1,6]=>1011010=>6
[6,8,3,2,4,5,1,7]=>0110010=>4
[5,8,3,4,6,1,2,7]=>0100100=>5
[6,4,3,8,5,1,2,7]=>1101100=>7
[6,4,8,2,3,5,1,7]=>1010010=>6
[5,4,6,8,2,3,1,7]=>1001010=>5
[5,6,8,4,1,2,3,7]=>0011000=>4
[6,4,8,5,1,2,3,7]=>1011000=>6
[7,4,8,3,1,2,5,6]=>1011000=>6
[5,7,8,2,3,1,4,6]=>0010100=>3
[5,4,7,8,2,1,3,6]=>1001100=>6
[5,8,6,3,1,2,4,7]=>0111000=>4
[6,8,5,2,1,3,4,7]=>0111000=>4
[5,6,1,3,2,4,8,7]=>0101001=>3
[8,1,5,4,6,2,7,3]=>1010101=>4
[4,3,8,1,2,5,7,6]=>1010001=>6
[4,6,3,2,8,5,7,1]=>0110101=>3
[5,3,7,2,1,8,6,4]=>1011011=>3
[7,4,3,2,5,1,8,6]=>1110101=>6
[5,4,8,3,7,2,1,6]=>1010110=>5
[3,6,8,5,2,1,7,4]=>0011101=>1
[6,1,5,4,7,2,8,3]=>1010101=>4
[1,3,6,5,8,2,7,4]=>0010101=>1
[5,4,8,3,2,7,1,6]=>1011010=>6
[5,4,3,7,8,2,1,6]=>1100110=>6
[3,4,5,6,7,8,2,9,1]=>00000101=>1
[3,4,5,6,7,8,9,2,10,1]=>000000101=>1
[1,4,5,6,7,8,3,9,2]=>00000101=>1
[3,4,5,6,7,2,1,9,8]=>00001101=>1
[2,1,5,6,7,8,9,4,3]=>10000011=>6
[2,4,5,6,7,8,3,1,9]=>00000110=>2
[2,4,5,6,7,8,9,10,3,1]=>000000011=>1
[1,4,8,6,3,2,7,5]=>0011101=>1
[4,1,8,6,2,5,7,3]=>1011001=>5
[6,7,2,5,3,8,4,1]=>0101011=>1
[6,3,4,8,1,2,7,5]=>1001001=>5
[6,2,8,1,7,4,5,3]=>1010101=>4
[2,6,3,1,5,8,7,4]=>0110011=>2
[7,1,3,2,6,5,8,4]=>1010101=>4
[8,7,6,4,5,3,2,9,1]=>11101101=>7
[2,9,8,7,5,6,4,3,1]=>01110111=>2
[1,3,5,8,4,7,2,6]=>0001010=>2
[2,3,8,7,5,1,6,4]=>0011101=>1
[4,1,3,5,6,2,8,7]=>1000101=>5
[6,4,8,7,3,5,2,1]=>1011011=>3
[8,2,3,5,6,1,4,7]=>1000100=>6
[3,8,2,7,6,4,1,5]=>0101110=>2
[4,3,8,6,2,7,1,5]=>1011010=>6
[8,3,4,5,1,6,7,2]=>1001001=>5
[7,8,1,5,6,3,2,4]=>0100110=>3
[1,7,8,3,2,5,4,6]=>0011010=>2
[7,8,1,3,2,5,6,4]=>0101001=>3
[7,8,1,3,5,4,6,2]=>0100101=>2
[7,8,1,3,5,2,4,6]=>0100100=>5
[1,3,7,8,5,2,4,6]=>0001100=>3
[1,7,8,3,5,2,6,4]=>0010101=>1
[1,7,8,3,2,5,6,4]=>0011001=>2
[3,7,8,5,4,6,1,2]=>0011010=>2
[3,5,7,6,4,8,1,2]=>0011010=>2
[1,3,7,8,5,4,6,2]=>0001101=>1
[1,3,7,8,5,4,2,6]=>0001110=>2
[1,3,7,8,2,5,4,6]=>0001010=>2
[1,3,2,7,8,5,4,6]=>0100110=>3
[1,5,7,6,8,3,2,4]=>0010110=>2
[3,5,4,7,8,6,1,2]=>0100110=>3
[3,5,7,6,8,4,1,2]=>0010110=>2
[1,5,7,6,8,3,4,2]=>0010101=>1
[3,5,7,4,6,8,1,2]=>0010010=>3
[6,5,8,4,3,7,1,2]=>1011010=>6
[6,7,3,1,5,2,4,8]=>0110100=>4
[5,2,4,1,8,3,6,7]=>1010100=>7
[2,1,7,4,3,8,5,6]=>1011010=>6
[7,2,3,8,5,4,1,6]=>1001110=>4
[4,1,5,7,6,3,8,2]=>1001101=>4
[3,2,5,4,7,6,1,10,8,9]=>101011010=>7
[3,2,5,4,9,8,6,7,1,10]=>101011010=>7
[3,2,5,4,1,8,6,10,7,9]=>101101010=>8
[3,2,5,4,1,10,9,6,7,8]=>101101100=>7
[3,2,7,6,4,5,9,8,1,10]=>101100110=>7
[3,2,7,6,4,5,1,10,8,9]=>101101010=>8
[3,2,9,6,4,8,5,7,1,10]=>101101010=>8
[3,2,1,6,4,8,5,10,7,9]=>110101010=>9
[3,2,1,6,4,10,9,5,7,8]=>110101100=>9
[3,2,9,8,7,4,5,6,1,10]=>101110010=>7
[3,2,1,8,7,4,5,10,6,9]=>110110010=>9
[3,2,1,10,7,4,9,5,6,8]=>110110100=>9
[3,2,1,10,9,8,4,5,6,7]=>110111000=>8
[5,4,2,3,7,6,9,8,1,10]=>110010110=>8
[5,4,2,3,7,6,1,10,8,9]=>110011010=>8
[5,4,2,3,9,8,6,7,1,10]=>110011010=>8
[5,4,2,3,1,8,6,10,7,9]=>110101010=>9
[5,4,2,3,1,10,9,6,7,8]=>110101100=>9
[7,4,2,6,3,5,9,8,1,10]=>110100110=>8
[7,4,2,6,3,5,1,10,8,9]=>110101010=>9
[9,4,2,6,3,8,5,7,1,10]=>110101010=>9
[1,4,2,6,3,8,5,10,7,9]=>010101010=>5
[1,4,2,6,3,10,9,5,7,8]=>010101100=>3
[9,4,2,8,7,3,5,6,1,10]=>110110010=>9
[1,4,2,8,7,3,5,10,6,9]=>010110010=>4
[1,4,2,10,7,3,9,5,6,8]=>010110100=>4
[1,4,2,10,9,8,3,5,6,7]=>010111000=>4
[7,6,5,2,3,4,9,8,1,10]=>111000110=>9
[7,6,5,2,3,4,1,10,8,9]=>111001010=>9
[9,6,5,2,3,8,4,7,1,10]=>111001010=>9
[1,6,5,2,3,8,4,10,7,9]=>011001010=>5
[1,6,5,2,3,10,9,4,7,8]=>011001100=>5
[9,8,5,2,7,3,4,6,1,10]=>111010010=>9
[1,8,5,2,7,3,4,10,6,9]=>011010010=>5
[1,10,5,2,7,3,9,4,6,8]=>011010100=>5
[1,10,5,2,9,8,3,4,6,7]=>011011000=>5
[9,8,7,6,2,3,4,5,1,10]=>111100010=>9
[1,8,7,6,2,3,4,10,5,9]=>011100010=>5
[1,10,7,6,2,3,9,4,5,8]=>011100100=>5
[1,10,9,6,2,8,3,4,5,7]=>011101000=>5
[1,10,9,8,7,2,3,4,5,6]=>011110000=>5
[1,4,8,2,3,6,5,7]=>0010010=>3
[1,4,6,7,3,5,2,8]=>0001010=>2
[1,4,8,2,6,7,5,3]=>0010011=>1
[1,7,3,2,4,5,6,8]=>0110000=>5
[1,7,3,2,4,5,8,6]=>0110001=>4
[1,6,4,3,2,5,7,8]=>0111000=>4
[4,2,6,5,3,1,7,8]=>1011100=>5
[5,2,1,6,8,7,4,3]=>1100111=>4
[1,3,5,8,6,2,7,4]=>0001101=>1
[2,3,8,4,1,7,6,5]=>0011011=>1
[3,7,8,5,4,2,6,1]=>0011101=>1
[8,3,2,7,5,6,1,4]=>1101010=>7
[1,3,8,5,7,4,2,6]=>0010110=>2
[1,2,3,7,5,4,6,8]=>0001100=>3
[1,4,2,8,6,3,5,7]=>0101100=>3
[2,8,6,3,5,7,4,1]=>0110011=>2
[6,1,8,2,5,3,4,7]=>1010100=>7
[3,8,6,4,2,7,1,5]=>0111010=>3
[1,5,4,2,3,6,8,7]=>0110001=>4
[6,1,5,2,3,4,8,7]=>1010001=>6
[6,5,2,1,7,3,4,8]=>1110100=>7
[3,1,2,4,8,6,7,5]=>1000101=>5
[3,1,2,5,8,7,4,6]=>1000110=>5
[6,5,2,1,8,4,7,3]=>1110101=>6
[3,7,5,2,8,1,4,6]=>0110100=>4
[5,1,4,7,3,2,8,6]=>1001101=>4
[4,1,5,8,6,2,3,7]=>1001100=>6
[5,4,8,6,3,7,1,2]=>1011010=>6
[6,5,2,3,1,8,7,4]=>1101011=>5
[5,7,4,8,3,1,6,2]=>0101101=>2
[3,1,4,7,5,2,8,6]=>1001101=>4
[4,3,5,1,8,7,2,6]=>1010110=>5
[2,5,3,6,1,8,4,7]=>0101010=>4
[2,5,6,8,3,1,7,4]=>0001101=>1
[7,1,4,5,3,6,2,8]=>1001010=>5
[1,7,2,4,5,3,6,8]=>0100100=>5
[1,7,4,5,3,2,6,8]=>0101100=>3
[1,6,4,7,3,5,2,8]=>0101010=>4
[3,5,6,4,8,2,1,7]=>0010110=>2
[1,6,4,7,5,2,3,8]=>0101100=>3
[1,5,2,6,7,4,3,8]=>0100110=>3
[8,5,6,1,4,3,7,2]=>1010101=>4
[2,5,4,7,8,3,1,6]=>0100110=>3
[6,4,5,8,2,3,1,7]=>1001010=>5
[8,6,1,3,2,5,7,4]=>1101001=>6
[7,5,8,1,4,6,3,2]=>1010011=>5
[4,2,6,7,8,1,5,3]=>1000101=>5
[3,4,6,7,8,1,5,2]=>0000101=>1
[4,7,3,8,5,1,6,2]=>0101101=>2
[4,3,2,7,5,8,1,6]=>1101010=>7
[4,8,5,3,2,6,1,7]=>0111010=>3
[2,8,4,5,3,6,1,7]=>0101010=>4
[8,1,5,3,2,4,7,6]=>1011001=>5
[7,8,4,1,3,6,5,2]=>0110011=>2
[8,6,1,3,2,7,4,5]=>1101010=>7
[7,3,8,2,4,1,6,5]=>1010101=>4
[6,2,3,7,8,1,5,4]=>1000101=>5
[6,3,7,8,1,5,4,2]=>1001011=>4
[2,6,3,7,8,1,5,4]=>0100101=>2
[7,5,8,1,6,4,2,3]=>1010110=>5
[8,1,4,3,7,5,6,2]=>1010101=>4
[1,4,8,5,3,2,6,7]=>0011100=>3
[8,2,7,6,4,1,5,3]=>1011101=>4
[2,7,4,3,8,5,1,6]=>0110110=>3
[6,8,2,7,3,1,5,4]=>0101101=>2
[8,2,6,3,4,1,7,5]=>1010101=>4
[6,1,2,8,5,3,7,4]=>1001101=>4
[4,1,5,8,3,6,7,2]=>1001001=>5
[7,5,2,8,1,6,3,4]=>1101010=>7
[4,8,5,7,1,3,2,6]=>0101010=>4
[3,4,7,2,1,5,8,6]=>0011001=>2
[4,8,2,7,1,3,6,5]=>0101001=>3
[5,2,1,8,7,4,6,3]=>1101101=>5
[8,2,1,7,4,6,3,5]=>1101010=>7
[4,2,5,8,3,6,7,1]=>1001001=>5
[5,1,6,8,3,2,7,4]=>1001101=>4
[4,1,5,6,8,2,7,3]=>1000101=>5
[5,7,8,2,4,1,3,6]=>0010100=>3
[4,5,2,8,7,3,1,6]=>0101110=>2
[4,8,5,3,1,6,7,2]=>0111001=>3
[6,2,3,1,7,8,5,4]=>1010011=>5
[5,2,3,6,8,4,7,1]=>1000101=>5
[6,2,1,7,8,4,3,5]=>1100110=>6
[5,2,1,3,8,4,7,6]=>1100101=>6
[5,2,7,8,4,1,6,3]=>1001101=>4
[6,2,7,8,3,5,4,1]=>1001011=>4
[5,2,8,6,4,1,7,3]=>1011101=>4
[5,1,2,8,4,3,7,6]=>1001101=>4
[6,7,8,3,2,5,4,1]=>0011011=>1
[5,7,2,6,4,8,1,3]=>0101010=>4
[6,2,3,4,7,8,5,1]=>1000011=>5
[7,2,1,8,4,3,5,6]=>1101100=>7
[6,2,1,3,7,5,8,4]=>1100101=>6
[6,8,7,3,4,5,1,2]=>0110010=>4
[6,2,3,7,8,1,4,5]=>1000100=>6
[7,4,3,2,5,8,1,6]=>1110010=>7
[7,2,4,3,5,8,1,6]=>1010010=>6
[1,7,6,4,2,3,5,8]=>0111000=>4
[1,3,2,5,8,6,4,7]=>0100110=>3
[6,1,4,7,2,8,5,3]=>1001011=>4
[1,7,5,8,4,2,3,6]=>0101100=>3
[1,6,7,2,4,8,5,3]=>0010011=>1
[5,7,2,4,3,6,8,1]=>0101001=>3
[5,7,3,4,6,2,8,1]=>0100101=>2
[2,8,3,6,1,7,4,5]=>0101010=>4
[4,3,1,8,5,2,6,7]=>1101100=>7
[1,8,4,5,6,2,7,3]=>0100101=>2
[7,3,8,2,1,4,5,6]=>1011000=>6
[8,2,5,3,1,7,4,6]=>1011010=>6
[6,3,5,8,1,7,4,2]=>1001011=>4
[3,5,4,8,6,1,7,2]=>0101101=>2
[7,5,2,3,8,4,6,1]=>1100101=>6
[2,7,5,1,4,8,3,6]=>0110010=>4
[5,7,6,1,2,8,3,4]=>0110010=>4
[7,4,6,5,1,8,2,3]=>1011010=>6
[7,1,3,2,6,8,4,5]=>1010010=>6
[4,3,5,2,8,1,6,7]=>1010100=>7
[1,7,3,8,2,4,6,5]=>0101001=>3
[2,7,4,8,5,3,1,6]=>0101110=>2
[6,1,3,8,4,2,7,5]=>1001101=>4
[5,4,1,8,6,2,7,3]=>1101101=>5
[5,4,6,8,1,3,2,7]=>1001010=>5
[3,6,1,5,8,4,7,2]=>0100101=>2
[6,4,8,3,5,7,2,1]=>1010011=>5
[3,5,8,2,4,1,7,6]=>0010101=>1
[7,2,8,4,1,3,6,5]=>1011001=>5
[5,8,1,2,4,3,6,7]=>0100100=>5
[8,4,3,5,7,2,6,1]=>1100101=>6
[4,1,5,2,3,8,7,6]=>1010011=>5
[6,3,5,8,2,4,7,1]=>1001001=>5
[2,8,7,1,4,6,3,5]=>0110010=>4
[1,8,5,3,7,4,2,6]=>0110110=>3
[7,5,6,2,8,4,3,1]=>1010111=>3
[5,7,6,2,8,1,4,3]=>0110101=>3
[6,3,8,1,2,5,4,7]=>1010010=>6
[7,6,4,8,5,3,2,1]=>1101111=>3
[7,6,5,3,8,4,2,1]=>1110111=>4
[7,6,5,4,2,8,3,1]=>1111011=>5
[8,6,9,7,5,4,3,2,1]=>10111111=>2
[7,5,4,8,6,3,2,1]=>1101111=>3
[8,7,5,9,6,4,3,2,1]=>11011111=>3
[8,7,6,4,9,5,3,2,1]=>11101111=>4
[7,6,5,3,2,8,4,1]=>1111011=>5
[8,7,6,5,3,9,4,2,1]=>11110111=>5
[8,7,6,5,4,2,9,3,1]=>11111011=>6
[3,2,5,4,7,6,1,10,9,8]=>101011011=>4
[3,2,5,4,9,8,7,6,1,10]=>101011110=>5
[3,2,5,4,1,8,7,10,9,6]=>101101011=>5
[3,2,5,4,1,10,9,8,7,6]=>101101111=>3
[3,2,7,6,5,4,9,8,1,10]=>101110110=>6
[3,2,7,6,5,4,1,10,9,8]=>101111011=>4
[3,2,9,6,5,8,7,4,1,10]=>101101110=>5
[3,2,1,6,5,8,7,10,9,4]=>110101011=>7
[3,2,1,6,5,10,9,8,7,4]=>110101111=>5
[3,2,1,8,7,6,5,10,9,4]=>110111011=>5
[3,2,1,10,7,6,9,8,5,4]=>110110111=>5
[5,4,3,2,7,6,9,8,1,10]=>111010110=>9
[5,4,3,2,7,6,1,10,9,8]=>111011011=>7
[5,4,3,2,9,8,7,6,1,10]=>111011110=>8
[5,4,3,2,1,8,7,10,9,6]=>111101011=>7
[7,4,3,6,5,2,9,8,1,10]=>110110110=>9
[7,4,3,6,5,2,1,10,9,8]=>110111011=>5
[9,4,3,6,5,8,7,2,1,10]=>110101110=>7
[1,4,3,6,5,8,7,10,9,2]=>010101011=>1
[1,4,3,6,5,10,9,8,7,2]=>010101111=>1
[9,4,3,8,7,6,5,2,1,10]=>110111110=>6
[1,4,3,8,7,6,5,10,9,2]=>010111011=>1
[1,4,3,10,7,6,9,8,5,2]=>010110111=>1
[1,4,3,10,9,8,7,6,5,2]=>010111111=>1
[7,6,5,4,3,2,9,8,1,10]=>111110110=>9
[9,6,5,4,3,8,7,2,1,10]=>111101110=>9
[1,6,5,4,3,8,7,10,9,2]=>011101011=>3
[1,6,5,4,3,10,9,8,7,2]=>011101111=>1
[9,8,5,4,7,6,3,2,1,10]=>111011110=>8
[1,8,5,4,7,6,3,10,9,2]=>011011011=>3
[1,10,5,4,7,6,9,8,3,2]=>011010111=>2
[1,10,5,4,9,8,7,6,3,2]=>011011111=>1
[1,10,7,6,5,4,9,8,3,2]=>011110111=>2
[1,10,9,6,5,8,7,4,3,2]=>011101111=>1
[3,2,5,4,11,10,9,8,7,6,1,12]=>10101111110=>5
[3,2,11,10,9,8,7,6,5,4,1,12]=>10111111110=>4
[11,4,3,10,9,8,7,6,5,2,1,12]=>11011111110=>6
[11,10,9,8,7,6,5,4,3,2,1,12]=>11111111110=>11
[1,5,7,2,4,3,6,8]=>0010100=>3
[1,6,5,3,2,4,7,8]=>0111000=>4
[1,7,2,4,6,5,3,8]=>0100110=>3
[1,4,7,2,6,5,3,8]=>0010110=>2
[1,2,6,8,7,4,3,5]=>0001110=>2
[1,2,7,4,3,5,8,6]=>0011001=>2
[1,6,2,8,7,4,3,5]=>0101110=>2
[1,7,4,2,3,5,8,6]=>0110001=>4
[1,8,5,2,3,6,4,7]=>0110010=>4
[1,7,4,8,5,2,3,6]=>0101100=>3
[1,4,7,5,2,8,6,3]=>0011011=>1
[1,6,3,7,4,2,8,5]=>0101101=>2
[1,8,5,2,7,4,3,6]=>0110110=>3
[1,4,8,7,5,3,2,6]=>0011110=>2
[1,2,5,8,6,3,7,4]=>0001101=>1
[1,2,4,7,5,8,6,3]=>0001011=>1
[1,5,8,7,6,2,4,3]=>0011101=>1
[1,3,5,8,7,6,2,4]=>0001110=>2
[1,5,2,4,3,6,8,7]=>0101001=>3
[1,6,8,7,5,3,2,4]=>0011110=>2
[1,2,5,7,4,3,8,6]=>0001101=>1
[1,5,3,2,6,8,7,4]=>0110011=>2
[1,4,2,6,8,7,5,3]=>0100111=>2
[1,5,8,6,3,2,7,4]=>0011101=>1
[1,8,5,2,6,3,4,7]=>0110100=>4
[1,7,4,6,3,2,8,5]=>0101101=>2
[1,6,3,2,8,5,4,7]=>0110110=>3
[1,3,8,6,4,2,5,7]=>0011100=>3
[1,5,7,4,2,3,8,6]=>0011001=>2
[6,3,7,5,4,2,8,1]=>1011101=>4
[7,5,2,6,3,4,8,1]=>1101001=>6
[3,8,2,7,5,4,1,6]=>0101110=>2
[5,4,8,6,7,1,2,3]=>1010100=>7
[2,7,3,6,8,5,4,1]=>0100111=>2
[3,7,2,8,1,6,4,5]=>0101010=>4
[8,5,2,4,6,7,3,1]=>1100011=>5
[2,5,8,7,1,4,3,6]=>0011010=>2
[3,4,6,5,8,2,7,1]=>0010101=>1
[5,2,4,1,6,7,8,3]=>1010001=>6
[4,2,7,1,6,8,3,5]=>1010010=>6
[5,2,8,6,4,7,1,3]=>1011010=>6
[6,1,3,4,7,2,8,5]=>1000101=>5
[8,4,7,2,5,3,1,6]=>1010110=>5
[8,3,4,5,2,1,7,6]=>1001101=>4
[8,6,1,4,7,3,5,2]=>1100101=>6
[5,3,6,7,2,8,4,1]=>1001011=>4
[5,3,6,7,2,4,8,1]=>1001001=>5
[8,6,4,2,7,1,5,3]=>1110101=>6
[8,6,1,4,7,5,2,3]=>1100110=>6
[1,5,8,2,6,7,4,3]=>0010011=>1
[7,1,3,6,5,2,8,4]=>1001101=>4
[8,2,1,4,5,7,6,3]=>1100011=>5
[1,4,7,5,2,3,8,6]=>0011001=>2
[6,1,7,5,4,2,8,3]=>1011101=>4
[2,7,3,6,5,1,8,4]=>0101101=>2
[8,6,5,1,3,7,4,2]=>1110011=>5
[5,7,6,2,4,8,1,3]=>0110010=>4
[3,7,5,6,4,8,1,2]=>0101010=>4
[7,6,8,1,3,5,4,2]=>1010011=>5
[2,8,4,6,1,7,5,3]=>0101011=>1
[2,8,6,4,7,3,5,1]=>0110101=>3
[8,7,1,4,6,5,3,2]=>1100111=>4
[3,5,8,6,7,1,4,2]=>0010101=>1
[1,2,4,6,8,5,3,7]=>0000110=>2
[3,1,5,8,6,2,4,7]=>1001100=>6
[2,5,4,6,8,1,3,7]=>0100100=>5
[6,5,2,4,7,8,1,3]=>1100010=>7
[7,2,5,8,6,4,1,3]=>1001110=>4
[5,2,8,3,4,7,6,1]=>1010011=>5
[2,4,3,8,7,1,6,5]=>0101101=>2
[1,5,8,7,4,2,6,3]=>0011101=>1
[6,8,7,5,4,3,1,2]=>0111110=>2
[5,6,4,7,3,8,2,9,1]=>01010101=>4
[5,6,4,7,3,9,2,8,1]=>01010101=>4
[5,3,4,8,6,2,7,1]=>1001101=>4
[5,4,6,3,7,2,8,1,9]=>10101010=>8
[6,5,7,4,8,3,9,2,10,1]=>101010101=>5
[6,5,7,4,8,3,10,2,9,1]=>101010101=>5
[3,4,5,8,6,2,7,1]=>0001101=>1
[5,6,4,7,3,8,2,9,1,10]=>010101010=>5
[5,4,2,3,6,1,8,7]=>1100101=>6
[5,1,7,4,3,6,8,2]=>1011001=>5
[4,3,7,6,8,2,1,5]=>1010110=>5
[8,1,4,7,2,3,5,6]=>1001000=>7
[6,1,8,5,2,7,3,4]=>1011010=>6
[8,7,2,6,3,1,4,5]=>1101100=>7
[8,7,1,6,4,5,2,3]=>1101010=>7
[5,4,1,3,7,2,8,6]=>1100101=>6
[8,3,4,7,6,2,1,5]=>1001110=>4
[3,1,8,7,5,2,4,6]=>1011100=>5
[6,5,8,7,2,4,3,1]=>1011011=>3
[4,3,6,5,8,2,1,7]=>1010110=>5
[7,6,3,2,8,5,4,1]=>1110111=>4
[3,2,6,8,7,1,4,5]=>1001100=>6
[4,3,7,1,8,5,2,6]=>1010110=>5
[3,2,8,5,6,7,1,4]=>1010010=>6
[8,3,2,1,4,7,5,6]=>1110010=>7
[4,7,3,1,8,5,2,6]=>0110110=>3
[3,7,8,2,5,6,1,4]=>0010010=>3
[7,5,1,4,2,3,6,8]=>1101000=>7
[7,8,6,1,2,4,5,3]=>0110001=>4
[1,5,3,4,7,8,6,2]=>0100011=>3
[5,1,2,4,7,8,6,3]=>1000011=>5
[5,1,7,8,6,2,3,4]=>1001100=>6
[8,5,1,6,7,2,3,4]=>1100100=>7
[7,5,1,2,4,6,8,3]=>1100001=>6
[6,1,5,2,7,3,4,8]=>1010100=>7
[7,1,2,6,4,5,8,3]=>1001001=>5
[1,7,3,6,4,5,8,2]=>0101001=>3
[1,8,3,6,4,5,7,2]=>0101001=>3
[8,1,6,2,7,3,4,5]=>1010100=>7
[7,1,6,2,5,3,4,8]=>1010100=>7
[8,1,6,2,5,3,4,7]=>1010100=>7
[8,1,7,2,5,3,4,6]=>1010100=>7
[8,1,2,7,4,5,6,3]=>1001001=>5
[1,8,3,7,4,5,6,2]=>0101001=>3
[8,1,6,7,5,2,3,4]=>1001100=>6
[7,3,1,2,6,4,5,8]=>1100100=>7
[3,1,2,8,5,6,7,4]=>1001001=>5
[6,3,1,2,7,4,5,8]=>1100100=>7
[6,1,7,4,2,3,5,8]=>1011000=>6
[1,7,3,4,6,8,5,2]=>0100011=>3
[1,7,3,8,4,5,6,2]=>0101001=>3
[7,1,8,2,5,3,4,6]=>1010100=>7
[6,1,7,2,5,3,4,8]=>1010100=>7
[5,1,7,2,6,3,4,8]=>1010100=>7
[5,1,8,2,6,3,4,7]=>1010100=>7
[1,6,3,7,4,5,8,2]=>0101001=>3
[2,4,7,3,5,1,6,8]=>0010100=>3
[2,4,8,6,3,5,1,7]=>0011010=>2
[2,3,7,5,4,1,6,8]=>0011100=>3
[3,4,6,2,1,5,8,7]=>0011001=>2
[3,4,7,2,1,6,5,8]=>0011010=>2
[2,6,8,3,5,1,4,7]=>0010100=>3
[2,3,6,1,5,8,4,7]=>0010010=>3
[2,3,7,1,6,5,8,4]=>0010101=>1
[2,4,7,1,3,6,8,5]=>0010001=>2
[5,4,7,8,1,3,2,6]=>1001010=>5
[2,5,7,1,4,6,3,8]=>0010010=>3
[2,4,7,1,6,3,5,8]=>0010100=>3
[2,3,7,1,6,5,4,8]=>0010110=>2
[2,5,7,1,4,3,6,8]=>0010100=>3
[2,5,7,3,1,4,6,8]=>0011000=>4
[3,4,7,2,1,6,8,5]=>0011001=>2
[4,6,3,7,1,5,2,8]=>0101010=>4
[5,7,3,2,8,1,4,6]=>0110100=>4
[2,6,5,7,1,8,4,3]=>0101011=>1
[3,6,8,5,4,1,7,2]=>0011101=>1
[5,4,7,8,1,3,6,2]=>1001001=>5
[2,5,7,1,4,6,8,3]=>0010001=>2
[2,4,7,1,6,3,8,5]=>0010101=>1
[2,4,7,1,6,8,3,5]=>0010010=>3
[2,4,8,3,1,7,6,5]=>0011011=>1
[1,8,3,4,5,6,7,9,2]=>01000001=>5
[7,2,3,4,5,6,1,9,8]=>10000101=>6
[2,1,9,4,5,6,7,8,3]=>10100001=>7
[2,8,3,4,5,6,7,1,9]=>01000010=>5
[8,6,5,1,2,4,3,7]=>1110010=>7
[7,6,1,4,2,3,5,8]=>1101000=>7
[6,5,1,4,8,3,2,7]=>1100110=>6
[8,7,1,4,3,2,5,6]=>1101100=>7
[8,7,5,1,4,2,3,6]=>1110100=>7
[8,4,1,2,5,3,6,7]=>1100100=>7
[8,6,1,4,2,5,3,7]=>1101010=>7
[8,7,1,4,3,2,6,5]=>1101101=>5
[8,7,6,3,1,5,4,2]=>1111011=>5
[2,8,3,7,4,5,6,1]=>0101001=>3
[8,7,5,2,4,3,6,1]=>1110101=>6
[2,9,1,8,7,6,5,4,3]=>01011111=>1
[2,9,8,1,7,6,5,4,3]=>01101111=>1
[4,2,5,7,3,1,6,8]=>1001100=>6
[8,2,4,5,3,1,6,7]=>1001100=>6
[8,4,5,1,3,2,6,7]=>1010100=>7
[4,3,7,5,2,1,6,8]=>1011100=>5
[1,6,7,4,3,2,5,8]=>0011100=>3
[1,4,5,7,3,2,6,8]=>0001100=>3
[3,5,1,4,7,2,6,8]=>0100100=>5
[2,5,1,4,7,8,3,6]=>0100010=>4
[4,3,7,1,5,2,6,8]=>1010100=>7
[3,5,1,6,4,2,7,8]=>0101100=>3
[6,4,3,1,7,2,5,8]=>1110100=>7
[6,2,7,4,3,1,5,8]=>1011100=>5
[2,6,4,1,7,3,5,8]=>0110100=>4
[6,3,2,7,4,5,1,8]=>1101010=>7
[7,2,4,1,3,6,8,5]=>1010001=>6
[6,3,2,5,7,1,4,8]=>1100100=>7
[3,2,6,5,7,1,4,8]=>1010100=>7
[1,7,3,2,5,6,4,8]=>0110010=>4
[2,1,7,3,5,6,8,4]=>1010001=>6
[2,1,6,3,5,7,8,4]=>1010001=>6
[1,6,3,2,5,7,4,8]=>0110010=>4
[1,4,6,5,2,7,3,8]=>0011010=>2
[5,6,2,1,4,3,7,8]=>0110100=>4
[2,5,1,6,4,3,7,8]=>0101100=>3
[2,5,4,1,6,3,7,8]=>0110100=>4
[4,6,1,5,2,7,3,8]=>0101010=>4
[1,6,5,3,7,2,4,8]=>0110100=>4
[1,2,5,4,7,3,6,8]=>0010100=>3
[1,2,5,3,4,8,7,6]=>0010011=>1
[5,2,7,6,1,8,4,3]=>1011011=>3
[5,8,2,6,1,7,4,3]=>0101011=>1
[1,7,8,2,4,6,5,3]=>0010011=>1
[1,5,8,3,6,2,7,4]=>0010101=>1
[6,8,7,1,4,5,2,3]=>0110010=>4
[1,2,6,4,7,3,8,5]=>0010101=>1
[1,2,7,8,3,5,6,4]=>0001001=>1
[4,8,7,6,2,1,5,3]=>0111101=>2
[2,7,4,5,8,1,6,3]=>0100101=>2
[2,6,1,8,5,4,3,7]=>0101110=>2
[5,8,6,2,3,4,1,7]=>0110010=>4
[4,5,8,6,2,1,3,7]=>0011100=>3
[6,4,7,5,8,2,1,3]=>1010110=>5
[6,3,7,4,2,5,8,1]=>1011001=>5
[6,2,1,5,8,4,3,7]=>1100110=>6
[7,5,6,2,4,3,8,1]=>1010101=>4
[4,6,2,5,7,3,8,1]=>0100101=>2
[4,2,8,5,3,6,1,7]=>1011010=>6
[8,1,7,4,5,6,2,3]=>1010010=>6
[2,1,7,8,4,5,6,3]=>1001001=>5
[8,2,1,4,3,7,6,5]=>1101011=>5
[7,6,5,3,1,2,8,4]=>1111001=>6
[5,4,1,6,2,8,3,7]=>1101010=>7
[6,2,3,1,7,8,4,5]=>1010010=>6
[3,1,8,6,7,2,4,5]=>1010100=>7
[4,2,5,1,8,6,7,3]=>1010101=>4
[4,5,3,7,1,6,8,2]=>0101001=>3
[4,2,8,5,3,6,7,1]=>1011001=>5
[2,8,6,3,5,4,7,1]=>0110101=>3
[3,5,2,8,6,4,7,1]=>0101101=>2
[7,3,5,1,6,4,8,2]=>1010101=>4
[5,1,4,7,2,6,8,3]=>1001001=>5
[1,8,2,5,6,4,7,3]=>0100101=>2
[2,7,1,4,8,5,6,3]=>0100101=>2
[2,8,4,6,1,3,7,5]=>0101001=>3
[8,4,6,2,5,3,7,1]=>1010101=>4
[8,3,7,6,2,1,5,4]=>1011101=>4
[8,5,2,7,6,1,4,3]=>1101101=>5
[5,8,2,7,6,1,4,3]=>0101101=>2
[8,3,7,6,2,5,1,4]=>1011010=>6
[7,3,8,6,5,1,4,2]=>1011101=>4
[9,8,7,6,1,2,3,4,5,10]=>111100000=>9
[2,6,3,7,5,4,8,1]=>0101101=>2
[5,4,7,1,3,8,6,2]=>1010011=>5
[2,8,5,1,4,7,3,6]=>0110010=>4
[8,1,4,2,5,7,3,6]=>1010010=>6
[7,2,6,5,8,4,3,1]=>1010111=>3
[3,4,8,5,6,2,7,1]=>0010101=>1
[5,8,2,3,4,6,1,7]=>0100010=>4
[6,1,3,4,2,5,7,8]=>1001000=>7
[1,5,6,3,2,4,7,8]=>0011000=>4
[6,3,5,2,4,1,7,8]=>1010100=>7
[7,8,3,5,2,4,6,1]=>0101001=>3
[2,4,5,7,3,6,1,8]=>0001010=>2
[2,5,3,1,6,4,7,8]=>0110100=>4
[6,5,1,3,4,2,7,8]=>1100100=>7
[5,7,4,3,2,6,1,8]=>0111010=>3
[6,8,7,4,3,5,1,2]=>0111010=>3
[2,6,7,8,4,3,5,1]=>0001101=>1
[1,7,8,4,5,3,6,2]=>0010101=>1
[7,1,8,5,3,4,6,2]=>1011001=>5
[5,7,4,2,1,6,3,8]=>0111010=>3
[5,1,4,7,3,6,2,8]=>1001010=>5
[7,4,8,6,3,5,2,1]=>1011011=>3
[4,7,6,3,5,2,1,8]=>0110110=>3
[1,6,5,8,7,4,2,3]=>0101110=>2
[6,1,3,8,7,5,2,4]=>1001110=>4
[7,6,2,1,8,3,5,4]=>1110101=>6
[7,1,3,6,8,2,5,4]=>1000101=>5
[1,7,5,6,8,2,4,3]=>0100101=>2
[3,6,7,5,8,2,4,1]=>0010101=>1
[1,7,4,5,2,8,6,3]=>0101011=>1
[7,5,4,2,1,8,6,3]=>1111011=>5
[3,6,7,4,2,8,5,1]=>0011011=>1
[4,6,3,2,7,8,5,1]=>0110011=>2
[7,6,1,3,4,2,5,8]=>1100100=>7
[7,8,2,6,4,5,3,1]=>0101011=>1
[7,2,5,4,6,1,3,8]=>1010100=>7
[7,1,2,4,5,6,3,8]=>1000010=>6
[7,3,2,1,5,6,4,8]=>1110010=>7
[3,6,2,1,7,5,4,8]=>0110110=>3
[2,6,7,3,1,5,4,8]=>0011010=>2
[2,1,6,4,7,5,3,8]=>1010110=>5
[7,2,8,5,6,4,3,1]=>1010111=>3
[7,6,8,5,4,1,3,2]=>1011101=>4
[7,1,8,4,6,5,3,2]=>1010111=>3
[7,8,6,3,1,5,4,2]=>0111011=>2
[7,6,1,4,5,3,2,8]=>1100110=>6
[7,1,5,6,4,3,2,8]=>1001110=>4
[4,1,3,8,6,2,7,5]=>1001101=>4
[5,1,2,8,4,6,7,3]=>1001001=>5
[5,6,3,2,8,1,7,4]=>0110101=>3
[8,2,6,3,1,5,7,4]=>1011001=>5
[8,2,5,6,7,4,3,1]=>1000111=>4
[8,2,5,3,4,7,6,1]=>1010011=>5
[7,5,3,2,4,1,8,6]=>1110101=>6
[7,1,2,3,6,8,4,5]=>1000010=>6
[6,7,2,8,3,4,5,1]=>0101001=>3
[3,1,8,4,6,5,7,2]=>1010101=>4
[6,1,2,3,8,4,7,5]=>1000101=>5
[8,1,6,7,4,2,3,5]=>1001100=>6
[8,1,6,4,5,2,3,7]=>1010100=>7
[8,6,4,7,2,3,5,1]=>1101001=>6
[8,6,4,1,2,3,7,5]=>1110001=>6
[8,6,1,4,2,5,7,3]=>1101001=>6
[8,6,7,4,2,5,1,3]=>1011010=>6
[8,6,4,2,5,3,7,1]=>1110101=>6
[8,6,4,2,5,3,1,7]=>1110110=>7
[8,6,4,2,7,3,1,5]=>1110110=>7
[8,6,4,1,5,7,2,3]=>1110010=>7
[8,6,4,2,1,5,7,3]=>1111001=>6
[8,6,4,2,1,7,3,5]=>1111010=>7
[8,6,1,4,7,2,5,3]=>1100101=>6
[8,6,4,1,5,2,3,7]=>1110100=>7
[8,6,7,1,4,5,2,3]=>1010010=>6
[8,6,4,5,2,7,3,1]=>1101011=>5
[8,6,7,4,2,1,5,3]=>1011101=>4
[8,6,4,7,2,1,5,3]=>1101101=>5
[8,6,4,2,5,7,3,1]=>1110011=>5
[8,6,4,2,5,1,7,3]=>1110101=>6
[8,6,4,2,5,7,1,3]=>1110010=>7
[3,4,7,5,8,2,6,1]=>0010101=>1
[8,7,1,4,6,5,2,3]=>1100110=>6
[8,3,7,6,4,5,1,2]=>1011010=>6
[5,3,8,6,4,1,7,2]=>1011101=>4
[8,10,1,2,3,4,5,9,6,7]=>010000010=>6
[10,8,1,9,2,3,4,5,6,7]=>110100000=>9
[8,7,1,2,3,4,5,9,10,6]=>110000001=>8
[6,1,2,3,4,5,7,8,9]=>10000000=>8
[5,1,2,3,4,6,7,8,9]=>10000000=>8
[4,1,2,3,5,6,7,8,9]=>10000000=>8
[2,10,1,5,6,7,8,9,3,4]=>010000010=>6
[7,4,5,1,2,8,6,3]=>1010011=>5
[6,4,7,1,8,5,2,3]=>1010110=>5
[5,7,4,2,3,8,6,1]=>0110011=>2
[3,8,2,5,1,7,4,6]=>0101010=>4
[5,8,4,2,3,7,1,6]=>0110010=>4
[4,8,5,2,1,7,3,6]=>0111010=>3
[8,5,7,6,1,2,4,3]=>1011001=>5
[6,8,7,5,2,4,1,3]=>0111010=>3
[5,7,6,8,4,1,3,2]=>0101101=>2
[7,3,1,6,8,5,4,2]=>1100111=>4
[5,3,1,7,4,8,6,2]=>1101011=>5
[7,3,1,8,6,4,5,2]=>1101101=>5
[8,6,4,1,7,3,2,5]=>1110110=>7
[4,6,8,3,7,1,2,5]=>0010100=>3
[3,5,2,8,4,7,1,6]=>0101010=>4
[6,4,8,3,7,2,1,5]=>1010110=>5
[3,6,2,8,7,4,1,5]=>0101110=>2
[6,8,4,2,7,3,1,5]=>0110110=>3
[9,8,2,3,4,5,6,7,1]=>11000001=>7
[8,9,2,3,4,5,6,7,1]=>01000001=>5
[9,8,7,6,4,5,3,2,1]=>11110111=>5
[5,6,7,9,8,4,3,2,1]=>00011111=>1
[5,6,7,8,9,1,4,3,2]=>00001011=>1
[10,9,2,3,4,5,6,7,8,1]=>110000001=>8
[3,4,7,8,5,1,2,6]=>0001100=>3
[4,7,3,2,5,6,8,1]=>0110001=>4
[3,2,7,6,4,5,8,1]=>1011001=>5
[1,7,3,6,8,4,2,5]=>0100110=>3
[2,3,6,5,1,8,7,4]=>0011011=>1
[8,3,1,2,6,4,7,5]=>1100101=>6
[1,7,8,2,4,3,5,6]=>0010100=>3
[3,6,4,7,1,2,8,5]=>0101001=>3
[5,7,4,8,1,3,2,6]=>0101010=>4
[4,3,7,8,1,5,2,6]=>1001010=>5
[8,5,4,2,6,1,7,3]=>1110101=>6
[3,2,6,8,7,4,1,5]=>1001110=>4
[2,3,7,5,1,8,6,4]=>0011011=>1
[6,3,1,2,8,7,4,5]=>1100110=>6
[5,2,1,3,8,7,6,4]=>1100111=>4
[7,2,1,5,3,8,4,6]=>1101010=>7
[1,5,8,2,4,3,6,7]=>0010100=>3
[4,3,6,8,1,5,2,7]=>1001010=>5
[5,4,6,8,3,1,7,2]=>1001101=>4
[3,6,8,4,5,1,7,2]=>0010101=>1
[8,6,1,7,2,4,3,5]=>1101010=>7
[7,3,1,2,8,6,4,5]=>1100110=>6
[2,3,7,6,1,8,5,4]=>0011011=>1
[3,2,7,8,6,4,1,5]=>1001110=>4
[6,2,8,3,1,4,7,5]=>1011001=>5
[3,1,2,8,7,4,5,6]=>1001100=>6
[2,1,3,8,7,4,6,5]=>1001101=>4
[2,1,3,8,7,4,5,6]=>1001100=>6
[1,6,8,3,2,4,7,5]=>0011001=>2
[8,5,1,7,2,4,3,6]=>1101010=>7
[8,4,1,7,3,2,5,6]=>1101100=>7
[8,3,1,6,2,7,5,4]=>1101011=>5
[1,3,2,8,7,6,4,5]=>0101110=>2
[2,1,3,8,7,6,4,5]=>1001110=>4
[2,4,3,1,6,5,8,7,10,9]=>011010101=>4
[1,6,3,7,2,5,4,8]=>0101010=>4
[1,7,2,4,6,3,5,8]=>0100100=>5
[5,7,2,8,4,1,3,6]=>0101100=>3
[5,6,2,8,4,1,3,7]=>0101100=>3
[2,4,8,3,1,6,7,5]=>0011001=>2
[3,5,8,4,2,1,6,7]=>0011100=>3
[2,5,8,3,1,4,6,7]=>0011000=>4
[2,8,1,3,5,7,4,6]=>0100010=>4
[5,4,7,8,3,2,6,1]=>1001101=>4
[3,6,8,2,5,1,4,7]=>0010100=>3
[3,6,8,7,2,5,4,1]=>0011011=>1
[3,4,6,5,8,2,1,7]=>0010110=>2
[2,4,6,7,8,3,5,1]=>0000101=>1
[1,4,2,5,7,6,3,8]=>0100110=>3
[1,4,2,6,8,5,3,7]=>0100110=>3
[1,2,6,8,3,5,4,7]=>0001010=>2
[1,6,8,3,5,4,2,7]=>0010110=>2
[1,5,3,2,4,6,8,7]=>0110001=>4
[1,5,8,7,6,3,2,4]=>0011110=>2
[1,5,7,6,3,2,4,8]=>0011100=>3
[1,6,3,2,4,7,5,8]=>0110010=>4
[1,6,3,2,4,8,7,5]=>0110011=>2
[1,2,7,6,4,3,5,8]=>0011100=>3
[1,8,7,5,2,4,6,3]=>0111001=>3
[1,7,5,2,4,6,3,8]=>0110010=>4
[1,7,4,2,5,3,6,8]=>0110100=>4
[1,8,4,7,5,2,6,3]=>0101101=>2
[1,7,5,2,3,6,4,8]=>0110010=>4
[1,7,5,2,6,3,4,8]=>0110100=>4
[1,6,3,7,4,2,5,8]=>0101100=>3
[1,6,3,2,7,5,4,8]=>0110110=>3
[1,4,7,5,2,6,3,8]=>0011010=>2
[1,3,6,4,8,7,5,2]=>0010111=>1
[1,3,7,6,4,2,5,8]=>0011100=>3
[1,3,2,4,8,5,7,6]=>0100101=>2
[1,3,8,7,5,2,4,6]=>0011100=>3
[1,4,6,3,2,7,5,8]=>0011010=>2
[1,4,6,3,2,8,7,5]=>0011011=>1
[1,5,7,6,4,2,3,8]=>0011100=>3
[1,6,3,2,8,4,7,5]=>0110101=>3
[1,6,3,5,2,7,4,8]=>0101010=>4
[1,6,3,5,2,8,7,4]=>0101011=>1
[1,8,3,7,5,2,4,6]=>0101100=>3
[7,8,4,9,5,2,10,6,3,1]=>010110111=>1
[6,4,7,1,5,3,8,2]=>1010101=>4
[5,3,8,2,6,4,7,1]=>1010101=>4
[4,3,8,2,6,5,7,1]=>1010101=>4
[2,6,1,8,3,4,7,5]=>0101001=>3
[5,7,1,4,8,2,3,6]=>0100100=>5
[6,5,7,1,4,3,8,2]=>1010101=>4
[4,8,3,5,7,6,1,2]=>0100110=>3
[5,7,6,1,2,4,8,3]=>0110001=>4
[4,8,3,5,7,6,2,1]=>0100111=>2
[1,3,4,2,8,5,7,6]=>0010101=>1
[5,7,6,2,4,8,3,1]=>0110011=>2
[6,7,5,2,3,8,4,1]=>0110011=>2
[6,7,5,3,8,4,2,1]=>0110111=>1
[3,2,1,4,8,5,7,6]=>1100101=>6
[7,3,1,4,2,6,5,8]=>1101010=>7
[7,4,1,6,2,5,3,8]=>1101010=>7
[5,4,1,8,2,6,3,7]=>1101010=>7
[5,3,1,8,2,6,4,7]=>1101010=>7
[4,7,1,5,2,6,3,8]=>0101010=>4
[6,5,1,4,2,7,3,8]=>1101010=>7
[1,8,7,3,4,5,2,6]=>0110010=>4
[1,8,9,3,4,5,6,7,2]=>00100001=>3
[1,8,7,4,5,2,3,6]=>0110100=>4
[1,2,6,8,7,3,4,5]=>0001100=>3
[1,3,7,8,4,5,6,2]=>0001001=>1
[8,4,2,3,1,6,5,7]=>1101010=>7
[6,4,5,2,8,1,7,3]=>1010101=>4
[4,8,6,2,3,1,7,5]=>0110101=>3
[6,4,2,1,8,5,3,7]=>1110110=>7
[4,2,6,1,5,8,3,7]=>1010010=>6
[6,4,2,3,5,8,1,7]=>1100010=>7
[2,8,6,4,5,1,7,3]=>0110101=>3
[8,2,4,6,7,1,5,3]=>1000101=>5
[2,6,3,1,7,4,8,5]=>0110101=>3
[6,5,1,8,3,2,7,4]=>1101101=>5
[1,4,3,7,2,8,6,5]=>0101011=>1
[1,8,7,4,5,3,2,6]=>0110110=>3
[2,8,3,1,4,5,7,6]=>0110001=>4
[3,2,6,7,8,4,5,1]=>1000101=>5
[1,7,4,6,3,8,2,5]=>0101010=>4
[5,6,4,1,3,8,2,7]=>0110010=>4
[4,5,3,1,8,7,6,2]=>0110111=>1
[6,3,4,2,7,8,5,1]=>1010011=>5
[8,7,4,5,1,6,3,2]=>1101011=>5
[6,2,7,8,1,3,5,4]=>1001001=>5
[5,1,8,4,3,7,2,6]=>1011010=>6
[7,2,8,1,4,5,6,3]=>1010001=>6
[1,4,8,2,5,6,7,3]=>0010001=>2
[2,1,4,3,6,5,8,10,9,7]=>101010011=>7
[2,1,4,3,6,8,7,5,10,9]=>101001101=>6
[2,1,4,3,8,10,7,9,5,6]=>101001010=>7
[2,1,4,3,6,7,10,8,9,5]=>101000101=>7
[2,1,4,6,5,3,8,7,10,9]=>100110101=>5
[2,1,4,6,5,3,8,10,9,7]=>100110011=>5
[2,1,6,8,5,7,3,4,10,9]=>100101001=>6
[2,1,8,7,5,10,4,9,3,6]=>101101010=>8
[2,1,6,7,5,10,8,4,9,3]=>100101101=>5
[2,1,4,5,8,6,7,3,10,9]=>100010101=>6
[2,1,8,5,10,6,7,9,3,4]=>101010010=>8
[2,1,4,7,10,6,9,8,3,5]=>100010110=>6
[2,1,4,5,6,10,7,8,9,3]=>100001001=>7
[2,4,3,1,6,5,8,10,9,7]=>011010011=>3
[2,4,3,1,6,8,7,5,10,9]=>011001101=>3
[2,4,3,1,8,10,7,9,5,6]=>011001010=>5
[2,4,3,1,6,7,10,8,9,5]=>011000101=>5
[4,6,3,5,1,2,8,7,10,9]=>010100101=>3
[4,6,3,5,1,2,8,10,9,7]=>010100011=>4
[6,5,3,8,2,7,1,4,10,9]=>110101001=>8
[8,5,3,7,2,10,4,9,1,6]=>110101010=>9
[6,5,3,7,2,10,8,4,9,1]=>110101101=>7
[4,5,3,8,6,2,7,1,10,9]=>010110101=>3
[8,6,3,5,10,2,7,9,1,4]=>110010010=>9
[4,7,3,6,10,1,9,8,2,5]=>010010110=>3
[4,5,3,6,10,7,1,8,9,2]=>010011001=>3
[2,3,6,4,5,1,8,7,10,9]=>001010101=>1
[2,3,6,4,5,1,8,10,9,7]=>001010011=>1
[6,3,8,4,5,7,1,2,10,9]=>101001001=>8
[8,3,7,4,5,10,2,9,1,6]=>101001010=>7
[6,3,7,4,5,10,8,2,9,1]=>101001101=>6
[2,5,8,4,7,6,1,3,10,9]=>001011001=>2
[8,5,10,4,7,6,2,9,1,3]=>101011010=>7
[2,7,10,4,8,6,9,5,1,3]=>001010110=>2
[2,5,6,4,10,8,7,3,9,1]=>001011101=>1
[2,3,4,8,5,6,7,1,10,9]=>000100101=>1
[8,3,4,10,5,6,7,9,1,2]=>100100010=>8
[2,7,4,10,5,6,9,8,1,3]=>010100110=>4
[2,3,6,10,5,9,7,8,1,4]=>000101010=>2
[2,3,4,5,10,6,7,8,9,1]=>000010001=>1
[10,3,7,4,5,9,2,12,6,11,1,8]=>10100101010=>8
[10,3,8,4,5,7,12,2,9,11,1,6]=>10100010010=>10
[10,3,4,9,5,6,7,12,2,11,1,8]=>10010001010=>9
[10,3,6,12,5,9,7,8,2,11,1,4]=>10010101010=>7
[10,3,4,5,12,6,7,8,9,11,1,2]=>10001000010=>10
[8,1,6,7,2,5,4,3]=>1001011=>4
[7,5,2,3,6,8,4,1]=>1100011=>5
[8,1,4,6,5,3,2,7]=>1001110=>4
[8,1,4,7,6,5,2,3]=>1001110=>4
[8,1,2,7,6,5,4,3]=>1001111=>3
[4,5,8,1,6,7,2,3]=>0010010=>3
[3,7,2,5,8,4,6,1]=>0100101=>2
[6,7,8,4,1,5,2,3]=>0011010=>2
[6,2,8,3,5,1,4,7]=>1010100=>7
[6,2,7,4,5,3,1,8]=>1010110=>5
[6,8,2,5,3,4,1,7]=>0101010=>4
[6,8,7,5,4,1,2,3]=>0111100=>3
[7,4,5,6,1,8,2,3]=>1001010=>5
[6,3,5,2,8,1,7,4]=>1010101=>4
[6,1,8,7,4,5,2,3]=>1011010=>6
[4,8,7,1,6,3,2,5]=>0110110=>3
[4,8,2,7,5,3,6,1]=>0101101=>2
[1,3,2,6,8,7,4,5]=>0100110=>3
[1,3,8,2,5,4,6,7]=>0010100=>3
[1,6,2,5,8,7,3,4]=>0100110=>3
[1,6,8,7,2,3,5,4]=>0011001=>2
[1,6,8,7,2,5,3,4]=>0011010=>2
[1,5,2,4,8,3,6,7]=>0100100=>5
[1,2,4,5,8,6,3,7]=>0000110=>2
[1,2,8,3,5,4,7,6]=>0010101=>1
[1,3,8,2,5,4,7,6]=>0010101=>1
[1,6,7,5,2,4,8,3]=>0011001=>2
[1,5,6,4,7,2,3,8]=>0010100=>3
[1,7,4,2,5,8,3,6]=>0110010=>4
[1,6,4,3,7,5,2,8]=>0110110=>3
[1,6,5,4,7,2,3,8]=>0110100=>4
[1,7,3,2,6,4,8,5]=>0110101=>3
[1,5,8,2,3,6,7,4]=>0010001=>2
[1,3,2,6,8,5,4,7]=>0100110=>3
[1,6,3,2,7,4,5,8]=>0110100=>4
[1,7,8,5,4,2,3,6]=>0011100=>3
[1,8,4,2,3,6,5,7]=>0110010=>4
[1,4,2,7,5,3,8,6]=>0101101=>2
[1,5,7,6,2,4,3,8]=>0011010=>2
[1,8,4,7,3,2,6,5]=>0101101=>2
[1,3,8,4,2,6,5,7]=>0011010=>2
[1,7,4,2,6,5,8,3]=>0110101=>3
[1,6,5,8,3,7,4,2]=>0101011=>1
[1,7,4,8,3,2,5,6]=>0101100=>3
[1,4,8,3,2,7,5,6]=>0011010=>2
[1,8,3,6,4,5,2,7]=>0101010=>4
[1,6,4,7,3,2,8,5]=>0101101=>2
[8,2,3,7,4,5,6,1]=>1001001=>5
[8,5,7,2,3,6,4,1]=>1010011=>5
[7,5,2,1,6,8,3,4]=>1110010=>7
[7,6,1,5,4,8,2,3]=>1101010=>7
[7,6,3,2,1,8,4,5]=>1111010=>7
[2,8,7,3,4,6,1,5]=>0110010=>4
[6,5,1,3,7,2,8,4]=>1100101=>6
[8,1,7,3,4,5,2,6]=>1010010=>6
[7,1,8,3,4,5,2,6]=>1010010=>6
[6,8,7,3,4,2,1,5]=>0110110=>3
[3,8,7,1,2,4,5,6]=>0110000=>5
[1,8,5,3,4,6,2,7]=>0110010=>4
[7,1,6,5,4,3,8,2]=>1011101=>4
[7,1,3,6,4,5,8,2]=>1001001=>5
[7,1,5,3,6,4,8,2]=>1010101=>4
[6,1,5,3,7,8,2,4]=>1010010=>6
[5,8,7,1,2,6,3,4]=>0110010=>4
[6,8,2,3,4,7,1,5]=>0100010=>4
[5,1,7,3,8,6,2,4]=>1010110=>5
[6,1,3,2,4,7,8,5]=>1010001=>6
[6,2,1,3,4,7,8,5]=>1100001=>6
[3,4,5,6,1,8,9,2,7]=>00010010=>2
[3,4,5,6,8,1,9,2,7]=>00001010=>2
[3,4,5,6,8,9,1,2,7]=>00000100=>3
[2,4,5,1,6,7,8,9,3]=>00100001=>3
[2,3,4,1,6,7,8,9,5]=>00100001=>3
[2,3,4,5,6,1,8,9,10,7]=>000010001=>1
[3,4,5,6,1,2,9,7,8]=>00010010=>2
[3,4,5,6,8,1,2,7,9]=>00001000=>4
[2,3,4,5,6,8,9,1,10,7]=>000000101=>1
[3,4,5,1,6,7,8,2,9]=>00100010=>4
[5,6,1,7,8,9,2,3,4]=>01000100=>6
[4,5,6,1,7,8,9,10,2,3]=>001000010=>4
[1,3,5,2,6,7,8,9,4]=>00100001=>3
[3,5,6,1,7,8,9,10,2,4]=>001000010=>4
[2,1,4,3,6,7,8,9,5]=>10100001=>7
[3,4,6,1,7,8,9,10,2,5]=>001000010=>4
[2,3,1,5,6,7,8,9,4]=>01000001=>5
[3,4,5,1,7,8,9,10,2,6]=>001000010=>4
[3,2,5,8,7,4,1,6]=>1001110=>4
[4,2,5,8,7,3,1,6]=>1001110=>4
[8,3,4,1,6,5,2,7]=>1010110=>5
[3,4,8,5,7,2,1,6]=>0010110=>2
[3,6,4,8,5,7,2,1]=>0101011=>1
[5,8,4,7,3,6,2,1]=>0101011=>1
[4,2,8,7,3,1,6,5]=>1011101=>4
[6,5,8,2,1,7,4,3]=>1011011=>3
[6,1,4,3,8,7,2,5]=>1010110=>5
[5,1,3,2,6,8,7,4]=>1010011=>5
[6,1,3,8,7,2,4,5]=>1001100=>6
[1,2,8,4,5,7,3,6]=>0010010=>3
[4,2,1,8,7,6,3,5]=>1101110=>6
[3,2,5,8,7,1,4,6]=>1001100=>6
[5,6,3,8,7,2,1,4]=>0101110=>2
[2,5,8,4,7,1,6,3]=>0010101=>1
[1,6,2,4,8,5,7,3]=>0100101=>2
[3,1,6,5,8,7,2,4]=>1010110=>5
[4,8,5,3,6,7,1,2]=>0110010=>4
[1,8,5,3,4,7,6,2]=>0110011=>2
[2,7,1,3,6,4,5,8]=>0100100=>5
[8,1,7,3,5,4,6,2]=>1010101=>4
[1,8,6,3,2,5,4,7]=>0111010=>3
[3,2,4,8,5,7,1,6]=>1001010=>5
[8,1,2,4,7,5,6,3]=>1000101=>5
[6,4,5,8,3,1,7,2]=>1001101=>4
[8,6,2,1,5,7,3,4]=>1110010=>7
[4,6,2,8,5,3,7,1]=>0101101=>2
[8,7,2,4,1,5,3,6]=>1101010=>7
[7,5,3,4,8,6,2,1]=>1100111=>4
[2,8,3,1,4,6,7,5]=>0110001=>4
[4,3,6,5,1,2,7,8]=>1011000=>6
[5,8,3,7,6,4,2,1]=>0101111=>1
[1,3,8,7,6,5,2,4]=>0011110=>2
[4,8,7,2,6,3,1,5]=>0110110=>3
[1,8,7,2,6,3,5,4]=>0110101=>3
[8,7,2,1,4,3,5,6]=>1110100=>7
[2,8,7,1,6,3,4,5]=>0110100=>4
[4,2,8,7,6,5,1,3]=>1011110=>4
[8,4,2,7,6,5,3,1]=>1101111=>3
[6,8,7,5,2,4,3,1]=>0111011=>2
[1,2,5,7,4,8,6,3]=>0001011=>1
[6,2,1,8,7,5,3,4]=>1101110=>6
[6,3,8,7,4,5,2,1]=>1011011=>3
[2,8,3,4,1,5,6,7]=>0101000=>5
[1,3,7,5,4,8,6,2]=>0011011=>1
[4,5,6,3,1,8,2,7]=>0011010=>2
[5,2,1,4,3,6,8,7]=>1101001=>6
[1,5,6,3,8,4,2,7]=>0010110=>2
[2,6,5,3,8,4,1,7]=>0110110=>3
[5,7,3,8,4,2,6,1]=>0101101=>2
[5,3,6,2,8,4,1,7]=>1010110=>5
[2,3,6,5,4,8,1,7]=>0011010=>2
[3,7,5,4,8,2,6,1]=>0110101=>3
[5,3,7,1,2,8,4,6]=>1010010=>6
[6,3,8,7,2,5,4,1]=>1011011=>3
[2,8,7,6,1,5,3,4]=>0111010=>3
[9,7,8,5,4,3,2,1,6]=>10111110=>4
[1,2,3,4,6,5,7,8,9]=>00001000=>4
[1,2,3,5,4,6,7,8,9]=>00010000=>5
[6,8,4,1,7,5,2,3]=>0110110=>3
[8,1,4,6,7,5,2,3]=>1000110=>5
[2,6,8,1,4,7,5,3]=>0010011=>1
[6,4,8,1,2,7,5,3]=>1010011=>5
[8,1,4,6,7,2,5,3]=>1000101=>5
[8,2,1,6,7,4,5,3]=>1100101=>6
[8,2,6,1,7,4,5,3]=>1010101=>4
[4,2,8,1,6,7,5,3]=>1010011=>5
[8,1,2,6,4,7,5,3]=>1001011=>4
[8,4,1,6,2,7,5,3]=>1101011=>5
[4,8,1,2,6,7,5,3]=>0100011=>3
[4,8,2,1,6,7,5,3]=>0110011=>2
[8,1,6,2,4,7,5,3]=>1010011=>5
[8,2,4,6,1,7,5,3]=>1001011=>4
[2,1,4,3,6,5,8,9,10,7]=>101010001=>8
[2,1,4,3,6,7,8,5,10,9]=>101000101=>7
[2,1,4,3,8,7,9,10,5,6]=>101010010=>8
[2,1,4,3,6,7,8,9,10,5]=>101000001=>8
[2,1,4,5,6,3,8,7,10,9]=>100010101=>6
[2,1,4,5,6,3,8,9,10,7]=>100010001=>7
[2,1,6,5,7,8,3,4,10,9]=>101001001=>8
[2,1,8,5,9,7,3,10,6,4]=>101011011=>4
[2,1,6,5,7,8,9,10,3,4]=>101000010=>8
[2,1,4,5,6,7,8,3,10,9]=>100000101=>7
[2,1,8,5,6,7,9,10,3,4]=>101000010=>8
[2,1,4,7,6,8,9,3,10,5]=>100100101=>6
[2,1,4,5,6,7,8,9,10,3]=>100000001=>8
[2,3,4,1,6,5,8,7,10,9]=>001010101=>1
[2,3,4,1,6,5,8,9,10,7]=>001010001=>3
[2,3,4,1,6,7,8,5,10,9]=>001000101=>2
[2,3,4,1,8,7,9,10,5,6]=>001010010=>3
[2,3,4,1,6,7,8,9,10,5]=>001000001=>4
[4,3,5,6,1,2,8,7,10,9]=>100100101=>6
[4,3,5,6,1,2,8,9,10,7]=>100100001=>8
[6,3,7,5,1,8,4,2,10,9]=>101101101=>6
[8,3,9,5,1,7,4,10,6,2]=>101101011=>5
[6,3,7,5,1,8,9,10,4,2]=>101100011=>6
[4,3,5,6,7,8,1,2,10,9]=>100001001=>7
[8,3,9,5,6,7,1,10,4,2]=>101001011=>6
[4,3,7,8,6,10,9,2,5,1]=>100101101=>5
[4,3,5,6,7,8,9,10,1,2]=>100000010=>8
[2,3,4,5,6,1,8,7,10,9]=>000010101=>1
[6,3,4,5,7,8,1,2,10,9]=>100001001=>7
[8,3,4,5,9,7,1,10,6,2]=>100011011=>5
[6,3,4,5,7,8,9,10,1,2]=>100000010=>8
[2,5,4,6,7,1,8,3,10,9]=>010010101=>2
[8,5,4,6,7,1,9,10,3,2]=>110010011=>7
[2,7,4,8,6,1,9,5,10,3]=>010110101=>3
[2,5,4,6,7,8,9,1,10,3]=>010000101=>4
[2,3,4,5,6,7,8,1,10,9]=>000000101=>1
[8,3,4,5,6,7,9,10,1,2]=>100000010=>8
[2,7,4,5,6,8,9,1,10,3]=>010000101=>4
[2,3,6,5,7,8,1,9,10,4]=>001001001=>3
[2,1,4,5,6,3,10,9,11,12,7,8]=>10001010010=>8
[4,3,5,6,1,2,10,9,11,12,7,8]=>10010010010=>8
[4,3,5,6,7,8,9,10,11,12,1,2]=>10000000010=>10
[6,3,4,5,7,8,9,10,11,12,1,2]=>10000000010=>10
[8,3,4,5,6,7,9,10,11,12,1,2]=>10000000010=>10
[10,3,4,5,6,7,8,9,11,12,1,2]=>10000000010=>10
[5,4,7,6,3,1,2,8]=>1011100=>5
[3,6,4,8,1,5,2,7]=>0101010=>4
[3,6,8,4,1,5,2,7]=>0011010=>2
[8,7,1,4,2,3,5,6]=>1101000=>7
[3,8,6,4,1,5,2,7]=>0111010=>3
[8,2,6,5,7,1,3,4]=>1010100=>7
[4,6,1,3,2,8,7,5]=>0101011=>1
[7,1,4,8,2,3,6,5]=>1001001=>5
[4,5,3,6,7,1,8,2]=>0100101=>2
[1,4,7,8,3,5,2,6]=>0001010=>2
[4,6,1,3,5,2,8,7]=>0100101=>2
[2,5,1,4,8,3,7,6]=>0100101=>2
[6,1,2,5,4,8,7,3]=>1001011=>4
[8,4,1,7,3,5,6,2]=>1101001=>6
[8,4,1,2,5,7,3,6]=>1100010=>7
[2,4,5,6,8,3,1,7]=>0000110=>2
[3,4,5,8,6,2,1,7]=>0001110=>2
[4,5,1,8,6,3,7,2]=>0101101=>2
[1,8,2,3,4,5,9,6,7]=>01000010=>5
[1,3,4,5,6,8,9,2,7]=>00000010=>2
[8,3,7,2,1,6,5,4]=>1011011=>3
[8,4,7,6,2,5,1,3]=>1011010=>6
[8,4,7,3,6,2,1,5]=>1010110=>5
[3,8,7,5,6,4,1,2]=>0110110=>3
[3,8,7,5,6,2,1,4]=>0110110=>3
[3,8,7,5,6,2,4,1]=>0110101=>3
[2,8,7,5,6,4,1,3]=>0110110=>3
[4,5,2,3,6,7,8,9,1]=>01000001=>5
[4,3,2,5,6,7,8,9,1]=>11000001=>7
[5,6,7,2,3,4,8,9,1]=>00100001=>3
[5,3,6,2,4,7,8,9,1]=>10100001=>7
[5,4,3,2,6,7,8,9,1]=>11100001=>7
[6,3,7,8,2,4,5,9,1]=>10010001=>7
[6,7,4,5,2,3,8,9,1]=>01010001=>4
[6,4,3,7,2,5,8,9,1]=>11010001=>7
[7,8,4,5,9,2,3,6,1]=>01001001=>3
[7,4,3,8,9,2,5,6,1]=>11001001=>7
[7,5,8,3,6,2,4,9,1]=>10101001=>7
[7,5,4,3,8,2,6,9,1]=>11101001=>7
[7,6,5,4,3,2,8,9,1]=>11111001=>7
[8,6,4,9,3,7,2,5,1]=>11010101=>7
[8,6,5,4,3,9,2,7,1]=>11110101=>7
[4,5,2,3,6,7,8,9,10,1]=>010000001=>6
[4,3,2,5,6,7,8,9,10,1]=>110000001=>8
[5,6,7,2,3,4,8,9,10,1]=>001000001=>4
[5,3,6,2,4,7,8,9,10,1]=>101000001=>8
[5,4,3,2,6,7,8,9,10,1]=>111000001=>8
[6,7,8,9,2,3,4,5,10,1]=>000100001=>2
[6,3,7,8,2,4,5,9,10,1]=>100100001=>8
[6,7,4,5,2,3,8,9,10,1]=>010100001=>5
[6,4,3,7,2,5,8,9,10,1]=>110100001=>8
[6,5,4,3,2,7,8,9,10,1]=>111100001=>8
[7,8,9,10,1,3,4,5,6,2]=>000100001=>2
[7,3,8,9,10,2,4,5,6,1]=>100010001=>7
[7,4,3,8,9,2,5,6,10,1]=>110010001=>8
[7,5,8,3,6,2,4,9,10,1]=>101010001=>8
[7,5,4,3,8,2,6,9,10,1]=>111010001=>8
[7,6,5,4,3,2,8,9,10,1]=>111110001=>8
[8,5,9,3,6,10,2,4,7,1]=>101001001=>8
[8,5,4,3,9,10,2,6,7,1]=>111001001=>8
[8,9,6,7,4,5,2,3,10,1]=>010101001=>4
[8,6,4,9,3,7,2,5,10,1]=>110101001=>8
[8,6,5,4,3,9,2,7,10,1]=>111101001=>8
[8,7,6,5,4,3,2,9,10,1]=>111111001=>8
[9,7,5,4,10,3,8,2,6,1]=>111010101=>8
[9,7,6,5,4,3,10,2,8,1]=>111110101=>8
[10,1,9,2,8,3,7,4,6,5]=>101010101=>5
[1,5,6,3,8,2,7,4]=>0010101=>1
[2,6,3,8,4,7,1,5]=>0101010=>4
[2,6,3,5,7,8,1,4]=>0100010=>4
[1,5,6,3,7,2,8,4]=>0010101=>1
[1,7,5,3,6,2,8,4]=>0110101=>3
[1,5,7,3,4,2,8,6]=>0010101=>1
[1,5,8,3,4,2,7,6]=>0010101=>1
[1,4,5,3,7,2,8,6]=>0010101=>1
[1,4,5,3,8,2,7,6]=>0010101=>1
[6,5,1,4,2,7,8,3]=>1101001=>6
[6,5,1,4,2,8,7,3]=>1101011=>5
[1,7,5,4,2,8,6,3]=>0111011=>2
[5,1,6,8,3,7,2,4]=>1001010=>5
[1,4,3,6,5,10,9,7,8,2]=>010101101=>2
[1,4,3,8,7,5,6,10,9,2]=>010110011=>2
[1,4,3,10,7,5,9,6,8,2]=>010110101=>3
[1,4,3,10,9,8,5,6,7,2]=>010111001=>3
[1,6,5,3,4,8,7,10,9,2]=>011001011=>3
[1,6,5,3,4,10,9,7,8,2]=>011001101=>3
[1,8,5,3,7,4,6,10,9,2]=>011010011=>3
[1,10,5,3,7,4,9,6,8,2]=>011010101=>4
[1,10,5,3,9,8,4,6,7,2]=>011011001=>4
[1,8,7,6,3,4,5,10,9,2]=>011100011=>4
[1,10,7,6,3,4,9,5,8,2]=>011100101=>4
[1,10,9,6,3,8,4,5,7,2]=>011101001=>4
[1,10,9,8,7,3,4,5,6,2]=>011110001=>4
[3,1,2,6,5,8,7,10,9,4]=>100101011=>5
[3,1,2,6,5,10,9,7,8,4]=>100101101=>5
[3,1,2,8,7,5,6,10,9,4]=>100110011=>5
[3,1,2,10,7,5,9,6,8,4]=>100110101=>5
[3,1,2,10,9,8,5,6,7,4]=>100111001=>6
[3,1,5,2,4,8,7,10,9,6]=>101001011=>6
[3,1,5,2,4,10,9,7,8,6]=>101001101=>6
[3,1,5,2,7,4,6,10,9,8]=>101010011=>7
[3,1,5,2,9,8,4,6,7,10]=>101011000=>7
[3,1,7,6,2,4,5,10,9,8]=>101100011=>6
[3,1,7,6,2,4,9,5,8,10]=>101100100=>8
[3,1,9,6,2,8,4,5,7,10]=>101101000=>8
[3,1,9,8,7,2,4,5,6,10]=>101110000=>7
[5,4,1,2,3,8,7,10,9,6]=>110001011=>7
[5,4,1,2,3,10,9,7,8,6]=>110001101=>7
[5,4,1,2,7,3,6,10,9,8]=>110010011=>7
[5,4,1,2,7,3,9,6,8,10]=>110010100=>9
[5,4,1,2,9,8,3,6,7,10]=>110011000=>9
[7,4,1,6,2,3,5,10,9,8]=>110100011=>7
[7,4,1,6,2,3,9,5,8,10]=>110100100=>9
[9,4,1,6,2,8,3,5,7,10]=>110101000=>9
[9,4,1,8,7,2,3,5,6,10]=>110110000=>9
[7,6,5,1,2,3,4,10,9,8]=>111000011=>7
[7,6,5,1,2,3,9,4,8,10]=>111000100=>9
[9,6,5,1,2,8,3,4,7,10]=>111001000=>9
[9,8,5,1,7,2,3,4,6,10]=>111010000=>9
[3,8,5,2,1,4,7,6]=>0111001=>3
[3,5,4,8,2,6,7,1]=>0101001=>3
[5,4,7,1,8,6,3,2]=>1010111=>3
[2,4,1,5,3,6,7,8,9]=>01010000=>6
[1,4,8,2,6,5,3,7]=>0010110=>2
[8,5,1,3,6,2,4,7]=>1100100=>7
[7,5,1,8,3,4,2,6]=>1101010=>7
[5,2,8,1,7,4,3,6]=>1010110=>5
[1,4,8,2,6,7,3,5]=>0010010=>3
[1,2,5,6,8,7,3,4]=>0000110=>2
[1,5,6,8,2,7,4,3]=>0001011=>1
[2,6,7,3,4,1,8,5]=>0010101=>1
[1,6,5,7,8,2,4,3]=>0100101=>2
[1,5,6,7,2,8,4,3]=>0001011=>1
[3,7,6,1,8,2,4,5]=>0110100=>4
[1,3,7,2,6,4,8,5]=>0010101=>1
[1,5,8,6,7,3,4,2]=>0010101=>1
[1,6,5,8,7,2,4,3]=>0101101=>2
[1,5,7,6,2,8,3,4]=>0011010=>2
[1,2,5,8,6,7,4,3]=>0001011=>1
[1,2,6,5,7,3,8,4]=>0010101=>1
[1,7,5,8,6,4,2,3]=>0101110=>2
[3,6,5,8,1,2,7,4]=>0101001=>3
[5,4,7,8,1,6,3,2]=>1001011=>4
[2,5,6,8,1,3,7,4]=>0001001=>1
[5,3,6,8,1,2,7,4]=>1001001=>5
[4,6,5,8,3,2,7,1]=>0101101=>2
[4,5,6,8,2,3,7,1]=>0001001=>1
[2,5,8,7,1,6,4,3]=>0011011=>1
[4,7,5,8,3,6,2,1]=>0101011=>1
[7,3,6,8,5,2,1,4]=>1001110=>4
[8,3,6,7,5,2,4,1]=>1001101=>4
[8,4,5,7,3,6,2,1]=>1001011=>4
[2,4,7,8,5,6,3,1]=>0001011=>1
[3,6,8,7,5,2,4,1]=>0011101=>1
[6,4,7,8,5,1,3,2]=>1001101=>4
[7,8,4,6,5,3,1,2]=>0101110=>2
[6,8,4,7,5,1,3,2]=>0101101=>2
[4,5,6,7,8,3,9,1,2]=>00001010=>2
[8,9,2,3,4,5,1,6,7]=>01000100=>6
[5,6,7,4,8,9,1,2,3]=>00100100=>4
[7,8,9,2,3,1,4,5,6]=>00101000=>4
[6,5,7,8,9,1,2,3,4]=>10001000=>8
[7,6,1,2,3,5,4,8]=>1100010=>7
[2,8,7,5,1,6,3,4]=>0111010=>3
[8,7,6,4,2,1,5,3]=>1111101=>6
[3,8,7,5,2,6,4,1]=>0111011=>2
[3,8,7,5,1,2,6,4]=>0111001=>3
[5,8,3,7,1,4,6,2]=>0101001=>3
[3,8,7,4,2,6,5,1]=>0111011=>2
[5,8,3,2,4,7,6,1]=>0110011=>2
[5,3,8,2,4,6,1,7]=>1010010=>6
[4,5,8,3,2,6,1,7]=>0011010=>2
[5,8,2,1,4,6,3,7]=>0110010=>4
[4,1,5,8,3,6,2,7]=>1001010=>5
[4,5,8,3,6,1,2,7]=>0010100=>3
[3,2,7,1,8,5,4,6]=>1010110=>5
[4,7,8,5,2,3,1,6]=>0011010=>2
[6,2,7,8,1,5,3,4]=>1001010=>5
[2,7,1,3,8,5,4,6]=>0100110=>3
[2,6,7,8,4,1,3,5]=>0001100=>3
[2,6,7,8,4,3,1,5]=>0001110=>2
[7,1,2,3,4,5,8,6,9]=>10000010=>7
[6,1,2,3,4,7,5,8,9]=>10000100=>7
[5,1,2,3,6,4,7,8,9]=>10001000=>8
[4,1,2,5,3,6,7,8,9]=>10010000=>8
[7,1,2,6,3,8,4,5]=>1001010=>5
[8,1,2,6,5,3,7,4]=>1001101=>4
[7,4,1,8,2,5,3,6]=>1101010=>7
[7,2,1,8,3,6,4,5]=>1101010=>7
[6,8,7,3,1,2,4,5]=>0111000=>4
[7,4,8,3,1,2,6,5]=>1011001=>5
[8,4,5,3,1,6,7,2]=>1011001=>5
[8,2,3,1,6,7,4,5]=>1010010=>6
[8,2,1,7,4,3,5,6]=>1101100=>7
[7,2,6,8,4,1,3,5]=>1001100=>6
[7,2,5,1,6,8,3,4]=>1010010=>6
[6,2,1,7,4,8,3,5]=>1101010=>7
[1,7,4,3,2,5,6,8]=>0111000=>4
[1,7,4,3,6,2,5,8]=>0110100=>4
[3,7,5,8,2,4,6,1]=>0101001=>3
[5,2,1,6,3,4,8,7]=>1101001=>6
[5,1,3,4,6,2,8,7]=>1000101=>5
[3,8,4,5,7,2,6,1]=>0100101=>2
[3,8,4,7,5,6,2,1]=>0101011=>1
[4,2,8,6,3,7,5,1]=>1011011=>3
[4,1,7,6,3,8,5,2]=>1011011=>3
[7,4,1,8,5,3,6,2]=>1101101=>5
[3,5,6,8,4,7,1,2]=>0001010=>2
[5,4,1,8,6,7,2,3]=>1101010=>7
[6,2,8,4,5,3,7,1]=>1010101=>4
[4,5,2,1,8,7,3,6]=>0110110=>3
[4,7,3,8,2,6,5,1]=>0101011=>1
[4,7,3,1,8,6,2,5]=>0110110=>3
[6,2,1,3,7,4,8,5]=>1100101=>6
[6,3,7,1,2,5,8,4]=>1010001=>6
[5,1,4,7,8,2,6,3]=>1000101=>5
[7,2,5,8,1,3,6,4]=>1001001=>5
[8,3,6,7,2,4,5,1]=>1001001=>5
[3,8,7,5,2,1,6,4]=>0111101=>2
[3,8,5,6,2,7,4,1]=>0101011=>1
[3,6,5,8,4,2,7,1]=>0101101=>2
[6,8,3,2,5,7,4,1]=>0110011=>2
[4,1,5,6,8,7,3,2]=>1000111=>4
[8,4,2,3,6,7,5,1]=>1100011=>5
[6,1,2,4,5,7,8,3]=>1000001=>6
[4,5,1,3,7,6,8,2]=>0100101=>2
[3,5,4,8,6,2,7,1]=>0101101=>2
[3,6,2,4,5,8,7,1]=>0100011=>3
[8,1,2,3,4,5,9,7,6]=>10000011=>6
[8,1,2,3,4,9,6,7,5]=>10000101=>6
[9,1,2,3,8,5,6,7,4]=>10001001=>6
[8,1,3,7,4,5,6,2]=>1001001=>5
[9,1,2,3,4,5,6,10,8,7]=>100000011=>7
[9,1,2,3,4,5,10,7,8,6]=>100000101=>7
[10,1,2,3,4,9,6,7,8,5]=>100001001=>7
[10,1,9,3,4,5,6,7,8,2]=>101000001=>8
[10,1,2,3,4,5,6,8,9,7]=>100000001=>8
[9,1,2,3,4,6,7,8,5]=>10000001=>7
[8,1,5,3,6,4,7,2]=>1010101=>4
[2,6,4,8,3,1,5,7]=>0101100=>3
[2,6,4,1,5,8,7,3]=>0110011=>2
[7,6,5,2,4,3,8,1]=>1110101=>6
[3,6,4,5,2,8,1,7]=>0101010=>4
[8,1,5,4,7,3,6,2]=>1010101=>4
[7,6,5,4,1,8,2,3]=>1111010=>7
[3,6,4,1,5,7,2,8]=>0110010=>4
[8,1,5,4,7,6,3,2]=>1010111=>3
[2,5,1,4,6,7,3,8]=>0100010=>4
[3,6,4,1,5,7,8,2]=>0110001=>4
[7,6,5,2,8,4,1,3]=>1110110=>7
[3,1,6,5,2,8,7,4]=>1011011=>3
[1,7,2,4,3,5,8,6]=>0101001=>3
[3,8,1,7,4,2,6,5]=>0101101=>2
[8,1,7,4,3,5,6,2]=>1011001=>5
[6,8,2,4,5,3,7,1]=>0100101=>2
[4,8,5,3,6,1,7,2]=>0110101=>3
[2,8,3,1,4,7,5,6]=>0110010=>4
[8,6,3,2,7,4,1,5]=>1110110=>7
[2,7,3,1,8,4,5,6]=>0110100=>4
[1,2,8,3,5,6,4,7]=>0010010=>3
[3,5,7,4,8,1,6,2]=>0010101=>1
[2,8,1,3,5,4,6,7]=>0100100=>5
[1,3,2,10,6,5,4,9,8,7]=>010111011=>1
[1,6,3,2,5,4,10,9,8,7]=>011010111=>2
[1,6,3,2,10,5,4,9,8,7]=>011011011=>3
[1,10,6,3,2,5,4,9,8,7]=>011101011=>3
[1,6,3,2,10,9,5,4,8,7]=>011011101=>2
[1,10,6,3,2,9,5,4,8,7]=>011101101=>3
[3,1,2,6,5,4,10,9,8,7]=>100110111=>4
[3,1,2,10,6,5,4,9,8,7]=>100111011=>4
[3,1,6,2,5,4,10,9,8,7]=>101010111=>4
[3,1,6,2,10,5,4,9,8,7]=>101011011=>4
[3,1,10,6,2,5,4,9,8,7]=>101101011=>5
[3,1,6,2,10,9,5,4,8,7]=>101011101=>4
[3,1,10,6,2,9,5,4,8,7]=>101101101=>6
[6,3,1,2,5,4,10,9,8,7]=>110010111=>6
[6,3,1,2,10,5,4,9,8,7]=>110011011=>6
[6,3,1,10,2,5,4,9,8,7]=>110101011=>7
[10,6,3,1,2,5,4,9,8,7]=>111001011=>7
[6,3,1,2,10,9,5,4,8,7]=>110011101=>6
[6,3,1,10,2,9,5,4,8,7]=>110101101=>7
[10,6,3,1,2,9,5,4,8,7]=>111001101=>8
[3,1,6,5,2,4,10,9,8,7]=>101100111=>5
[3,1,6,5,2,10,4,9,8,7]=>101101011=>5
[3,1,10,6,5,2,4,9,8,7]=>101110011=>5
[3,1,6,5,2,10,9,4,8,7]=>101101101=>6
[3,1,10,6,5,2,9,4,8,7]=>101110101=>6
[6,3,1,5,2,4,10,9,8,7]=>110100111=>6
[6,3,1,5,2,10,4,9,8,7]=>110101011=>7
[6,3,1,10,5,2,4,9,8,7]=>110110011=>7
[10,6,3,1,5,2,4,9,8,7]=>111010011=>7
[6,3,1,5,2,10,9,4,8,7]=>110101101=>7
[6,3,1,10,5,2,9,4,8,7]=>110110101=>8
[10,6,3,1,5,2,9,4,8,7]=>111010101=>8
[6,3,1,10,9,5,2,4,8,7]=>110111001=>7
[10,6,3,1,9,5,2,4,8,7]=>111011001=>8
[3,1,6,5,2,10,9,8,4,7]=>101101110=>5
[3,1,10,6,5,2,9,8,4,7]=>101110110=>6
[6,3,1,5,2,10,9,8,4,7]=>110101110=>7
[6,3,1,10,5,2,9,8,4,7]=>110110110=>9
[10,6,3,1,5,2,9,8,4,7]=>111010110=>9
[6,3,1,10,9,5,2,8,4,7]=>110111010=>8
[1,5,2,8,6,4,3,7]=>0101110=>2
[7,4,8,6,3,1,2,5]=>1011100=>5
[3,6,8,4,1,2,5,7]=>0011000=>4
[4,7,8,5,2,1,3,6]=>0011100=>3
[6,1,5,2,8,7,3,4]=>1010110=>5
[8,1,3,5,7,4,2,6]=>1000110=>5
[3,1,8,5,4,7,2,6]=>1011010=>6
[3,1,6,4,8,5,2,7]=>1010110=>5
[5,1,3,4,2,6,8,7]=>1001001=>5
[3,2,6,4,1,5,7,8]=>1011000=>6
[5,4,2,1,8,3,6,7]=>1110100=>7
[4,2,5,1,8,7,3,6]=>1010110=>5
[6,8,2,7,1,4,3,5]=>0101010=>4
[1,8,4,7,3,2,5,6]=>0101100=>3
[8,6,3,1,5,7,2,4]=>1110010=>7
[5,8,3,1,4,7,6,2]=>0110011=>2
[1,2,5,4,7,8,3,6]=>0010010=>3
[1,8,3,2,6,4,7,5]=>0110101=>3
[4,7,1,2,5,3,6,8]=>0100100=>5
[6,8,4,1,3,7,2,5]=>0110010=>4
[3,2,6,1,7,8,5,4]=>1010011=>5
[7,6,4,1,8,3,5,2]=>1110101=>6
[5,4,1,6,7,3,2,8]=>1100110=>6
[7,4,1,6,5,8,2,3]=>1101010=>7
[8,5,4,1,6,7,3,2]=>1110011=>5
[5,2,1,6,4,7,8,3]=>1101001=>6
[1,6,2,3,5,7,8,4]=>0100001=>4
[1,3,4,8,5,2,6,7]=>0001100=>3
[8,2,4,6,1,7,3,5]=>1001010=>5
[1,5,7,2,3,6,8,4]=>0010001=>2
[7,3,1,4,2,5,8,6]=>1101001=>6
[3,2,5,7,8,4,1,6]=>1000110=>5
[4,3,5,1,6,2,7,8]=>1010100=>7
[8,6,3,5,4,1,2,7]=>1101100=>7
[8,3,2,6,1,5,4,7]=>1101010=>7
[8,5,1,7,4,6,2,3]=>1101010=>7
[4,8,1,7,6,3,5,2]=>0101101=>2
[8,5,1,7,4,3,6,2]=>1101101=>5
[8,5,7,6,2,1,3,4]=>1011100=>5
[5,4,8,3,1,7,2,6]=>1011010=>6
[5,1,4,8,3,2,7,6]=>1001101=>4
[4,8,1,7,6,5,2,3]=>0101110=>2
[4,3,8,7,2,6,1,5]=>1011010=>6
[3,8,7,2,6,4,1,5]=>0110110=>3
[8,2,5,7,4,3,6,1]=>1001101=>4
[3,8,7,4,6,1,2,5]=>0110100=>4
[8,7,6,3,5,4,1,2]=>1110110=>7
[2,8,4,7,6,1,5,3]=>0101101=>2
[2,5,4,8,3,1,7,6]=>0101101=>2
[5,4,8,2,1,3,7,6]=>1011001=>5
[3,8,7,2,6,1,5,4]=>0110101=>3
[1,8,4,7,6,3,5,2]=>0101101=>2
[1,8,3,7,6,5,2,4]=>0101110=>2
[1,4,3,8,7,2,6,5]=>0101101=>2
[7,1,5,4,6,2,3,8]=>1010100=>7
[7,4,1,3,6,2,5,8]=>1100100=>7
[5,4,3,1,7,6,2,8]=>1110110=>7
[4,1,3,7,5,6,2,8]=>1001010=>5
[2,6,8,3,1,7,4,5]=>0011010=>2
[2,5,4,8,1,7,3,6]=>0101010=>4
[7,2,6,5,8,3,4,1]=>1010101=>4
[5,6,3,1,4,2,7,8]=>0110100=>4
[2,6,5,3,4,8,7,1]=>0110011=>2
[2,6,1,5,3,4,7,8]=>0101000=>5
[3,6,2,7,4,5,1,8]=>0101010=>4
[3,4,7,8,5,1,6,2]=>0001101=>1
[3,6,2,4,7,8,5,1]=>0100011=>3
[5,3,6,4,8,7,2,1]=>1010111=>3
[1,5,4,8,6,2,7,3]=>0101101=>2
[4,5,2,7,6,3,8,1]=>0101101=>2
[7,6,2,5,3,8,4,1]=>1101011=>5
[8,4,6,1,3,7,2,5]=>1010010=>6
[4,8,5,1,2,3,6,7]=>0110000=>5
[8,6,2,4,5,1,3,7]=>1100100=>7
[4,5,1,3,8,6,2,7]=>0100110=>3
[7,4,2,3,6,8,5,1]=>1100011=>5
[2,1,6,7,4,8,3,5]=>1001010=>5
[7,8,3,1,6,2,5,4]=>0110101=>3
[7,5,2,8,1,4,6,3]=>1101001=>6
[6,7,8,2,5,4,3,1]=>0010111=>1
[7,8,1,6,2,5,4,3]=>0101011=>1
[5,1,6,8,3,4,7,2]=>1001001=>5
[7,1,6,8,5,4,3,2]=>1001111=>3
[5,6,8,1,2,3,7,4]=>0010001=>2
[4,8,1,2,7,6,5,3]=>0100111=>2
[4,6,1,2,8,5,7,3]=>0100101=>2
[6,4,7,3,5,2,1,8]=>1010110=>5
[5,7,8,4,2,1,3,6]=>0011100=>3
[6,4,8,3,5,2,1,7]=>1010110=>5
[3,1,6,2,5,7,8,4]=>1010001=>6
[2,1,6,3,5,7,4,8]=>1010010=>6
[1,6,4,5,2,7,3,8]=>0101010=>4
[1,4,7,3,2,5,6,8]=>0011000=>4
[6,2,1,4,5,3,7,8]=>1100100=>7
[1,2,3,4,5,8,9,6,7]=>00000010=>2
[1,2,3,4,7,9,5,8,6]=>00000101=>1
[1,2,3,6,9,4,7,8,5]=>00001001=>1
[1,2,4,6,8,3,7,5]=>0000101=>1
[1,2,5,9,3,6,7,8,4]=>00010001=>2
[1,3,5,8,2,6,7,4]=>0001001=>1
[1,4,9,2,5,6,7,8,3]=>00100001=>3
[3,9,1,4,5,6,7,8,2]=>01000001=>5
[6,1,3,7,2,8,5,4]=>1001011=>4
[6,4,5,8,3,7,1,2]=>1001010=>5
[8,1,4,3,6,7,2,5]=>1010010=>6
[2,6,8,4,3,1,7,5]=>0011101=>1
[8,1,5,2,6,4,3,7]=>1010110=>5
[1,6,7,4,2,8,3,5]=>0011010=>2
[1,7,8,4,3,6,2,5]=>0011010=>2
[1,5,8,7,4,3,2,6]=>0011110=>2
[1,4,7,2,3,6,8,5]=>0010001=>2
[3,1,2,6,7,8,5,4]=>1000011=>5
[3,8,1,6,4,2,7,5]=>0101101=>2
[1,6,3,4,7,8,2,5]=>0100010=>4
[3,1,5,7,6,2,8,4]=>1001101=>4
[6,3,1,4,2,7,8,5]=>1101001=>6
[2,4,3,7,6,1,8,5]=>0101101=>2
[3,1,7,6,5,2,8,4]=>1011101=>4
[1,4,7,6,8,3,2,5]=>0010110=>2
[7,2,1,5,6,3,8,4]=>1100101=>6
[4,3,1,8,6,2,7,5]=>1101101=>5
[3,1,5,2,8,7,6,4]=>1010111=>3
[1,2,8,4,3,7,6,5]=>0011011=>1
[2,6,1,8,7,4,3,5]=>0101110=>2
[7,5,1,8,3,2,6,4]=>1101101=>5
[4,7,6,3,1,8,2,5]=>0111010=>3
[5,3,1,8,6,2,4,7]=>1101100=>7
[5,1,8,6,3,2,4,7]=>1011100=>5
[1,5,4,2,8,6,3,7]=>0110110=>3
[1,4,2,8,5,3,7,6]=>0101101=>2
[8,3,1,6,4,2,5,7]=>1101100=>7
[1,7,4,8,3,5,2,6]=>0101010=>4
[7,3,2,4,8,5,1,6]=>1100110=>6
[5,7,8,1,4,2,6,3]=>0010101=>1
[2,6,3,8,1,7,5,4]=>0101011=>1
[2,5,1,8,6,3,7,4]=>0101101=>2
[2,8,6,4,1,7,3,5]=>0111010=>3
[1,8,4,2,7,5,3,6]=>0110110=>3
[6,5,1,7,2,8,4,3]=>1101011=>5
[2,8,1,7,5,3,6,4]=>0101101=>2
[1,2,8,7,6,4,3,5]=>0011110=>2
[4,1,7,8,6,3,5,2]=>1001101=>4
[1,6,5,7,8,4,2,3]=>0100110=>3
[4,1,8,7,6,3,5,2]=>1011101=>4
[4,8,2,6,3,5,1,7]=>0101010=>4
[4,3,5,7,1,6,2,8]=>1001010=>5
[4,1,8,5,3,6,2,7]=>1011010=>6
[6,4,2,5,3,1,7,8]=>1101100=>7
[3,1,5,8,2,7,4,6]=>1001010=>5
[6,4,1,5,3,2,7,8]=>1101100=>7
[6,2,1,5,4,3,7,8]=>1101100=>7
[3,1,8,5,4,6,2,7]=>1011010=>6
[6,1,8,4,5,3,2,7]=>1010110=>5
[4,5,2,7,1,6,3,8]=>0101010=>4
[4,3,5,7,1,6,8,2]=>1001001=>5
[4,1,8,5,3,6,7,2]=>1011001=>5
[6,3,8,4,5,1,7,2]=>1010101=>4
[3,1,6,8,5,7,4,2]=>1001011=>4
[2,6,1,8,5,7,4,3]=>0101011=>1
[6,3,8,4,5,2,1,7]=>1010110=>5
[6,5,8,7,2,3,4,1]=>1011001=>5
[6,3,8,4,5,2,7,1]=>1010101=>4
[2,1,6,8,5,3,7,4]=>1001101=>4
[3,2,6,8,5,4,7,1]=>1001101=>4
[4,1,8,5,2,6,3,7]=>1011010=>6
[3,1,6,8,5,2,4,7]=>1001100=>6
[6,5,8,7,4,1,2,3]=>1011100=>5
[6,5,8,7,4,2,1,3]=>1011110=>4
[6,5,8,7,2,4,1,3]=>1011010=>6
[6,2,8,4,5,7,1,3]=>1010010=>6
[6,1,8,4,5,7,3,2]=>1010011=>5
[1,9,2,10,3,4,5,6,7,8]=>010100000=>7
[2,8,1,9,3,4,5,6,7]=>01010000=>6
[4,2,7,3,5,8,6,1]=>1010011=>5
[3,6,2,4,8,5,7,1]=>0100101=>2
[2,7,5,4,3,8,6,1]=>0111011=>2
[3,5,1,8,4,7,6,2]=>0101011=>1
[3,6,1,8,5,4,7,2]=>0101101=>2
[2,4,8,3,7,6,5,1]=>0010111=>1
[3,6,8,2,5,7,4,1]=>0010011=>1
[2,6,8,5,4,3,7,1]=>0011101=>1
[3,6,8,2,5,4,7,1]=>0010101=>1
[4,6,8,3,2,5,7,1]=>0011001=>2
[4,6,2,8,3,5,7,1]=>0101001=>3
[3,6,1,8,5,7,4,2]=>0101011=>1
[5,2,6,8,4,1,7,3]=>1001101=>4
[4,6,3,8,7,2,5,1]=>0101101=>2
[3,5,8,2,7,4,6,1]=>0010101=>1
[2,6,8,5,7,4,3,1]=>0010111=>1
[2,4,8,7,6,3,5,1]=>0011101=>1
[7,5,1,6,3,2,8,4]=>1101101=>5
[2,7,6,3,4,1,8,5]=>0110101=>3
[5,7,6,3,1,2,8,4]=>0111001=>3
[4,8,2,1,7,5,6,3]=>0110101=>3
[6,3,8,5,7,2,4,1]=>1010101=>4
[1,5,4,8,6,2,3,7]=>0101100=>3
[8,2,1,7,5,3,6,4]=>1101101=>5
[8,2,1,6,7,3,5,4]=>1100101=>6
[6,2,8,1,7,5,3,4]=>1010110=>5
[3,5,1,8,7,6,2,4]=>0101110=>2
[1,4,2,3,6,5,8,7,9]=>01001010=>4
[1,3,4,2,6,5,8,7,9]=>00101010=>2
[1,4,2,3,6,5,8,7,10,9]=>010010101=>2
[2,3,1,4,6,5,8,7,9]=>01001010=>4
[4,6,1,2,3,5,8,7,9]=>01000010=>5
[3,4,5,1,6,2,8,7,9]=>00101010=>2
[3,1,2,4,6,5,8,7,9]=>10001010=>6
[1,3,4,2,6,5,8,7,10,9]=>001010101=>1
[3,1,4,2,6,5,8,7,10,9,11]=>1010101010=>10
[4,7,3,5,6,1,2,8]=>0100100=>5
[4,7,8,3,5,6,1,2]=>0010010=>3
[2,1,3,4,5,6,9,7,8]=>10000010=>7
[1,2,3,4,5,7,8,6,9]=>00000010=>2
[2,1,3,4,5,6,7,10,8,9]=>100000010=>8
[3,2,5,6,8,4,7,1]=>1000101=>5
[8,4,5,2,6,3,7,1]=>1010101=>4
[2,5,6,4,8,3,7,1]=>0010101=>1
[4,2,5,7,3,8,1,6]=>1001010=>5
[4,7,3,1,6,8,2,5]=>0110010=>4
[4,2,7,6,8,1,3,5]=>1010100=>7
[1,7,4,6,8,3,2,5]=>0100110=>3
[4,7,2,5,6,3,1,8]=>0100110=>3
[5,4,1,3,7,8,2,6]=>1100010=>7
[6,1,5,8,3,7,2,4]=>1001010=>5
[4,1,3,5,7,8,2,6]=>1000010=>6
[6,1,5,8,4,3,2,7]=>1001110=>4
[7,2,1,6,8,3,5,4]=>1100101=>6
[5,6,4,1,8,3,2,7]=>0110110=>3
[2,3,7,8,5,1,6,4]=>0001101=>1
[4,1,7,6,2,3,8,5]=>1011001=>5
[1,2,6,7,4,3,5,8]=>0001100=>3
[10,2,3,4,5,6,7,8,1,9]=>100000010=>8
[7,1,9,3,4,5,6,2,8]=>10100010=>7
[5,8,6,3,4,1,2,7]=>0110100=>4
[3,10,1,4,5,6,7,8,9,2]=>010000001=>6
[11,2,3,4,5,6,7,8,9,1,10]=>1000000010=>9
[8,1,10,3,4,5,6,7,2,9]=>101000010=>8
[7,2,1,9,4,5,6,3,8]=>11010010=>8
[6,9,7,3,4,5,1,2,8]=>01100100=>5
[6,2,3,1,8,5,4,7]=>1010110=>5
[5,1,2,6,4,8,3,7]=>1001010=>5
[8,6,2,3,7,5,1,4]=>1100110=>6
[3,8,1,2,9,5,6,7,4]=>01001001=>3
[8,7,9,1,2,3,4,5,6]=>10100000=>8
[12,2,3,4,5,6,7,8,9,10,1,11]=>10000000010=>10
[8,2,1,10,4,5,6,7,3,9]=>110100010=>9
[7,10,8,3,4,5,6,1,2,9]=>011000100=>6
[7,2,3,1,9,5,6,4,8]=>10101010=>8
[6,1,2,7,4,5,9,3,8]=>10010010=>6
[5,9,6,3,4,1,7,2,8]=>01101010=>4
[4,5,2,8,6,1,3,7]=>0101100=>3
[3,4,8,2,5,6,1,7]=>0010010=>3
[3,8,1,4,2,9,6,7,5]=>01010101=>4
[9,7,2,3,8,5,6,1,4]=>11001010=>8
[3,9,1,2,10,5,6,7,8,4]=>010010001=>5
[2,8,3,6,7,4,5,1]=>0100101=>2
[6,8,2,7,5,3,1,4]=>0101110=>2
[6,3,2,5,8,4,1,7]=>1100110=>6
[5,6,7,2,8,4,1,3]=>0010110=>2
[5,8,3,6,4,1,7,2]=>0101101=>2
[4,3,8,5,2,7,1,6]=>1011010=>6
[2,8,4,5,1,6,3,7]=>0101010=>4
[3,2,5,8,4,7,1,6]=>1001010=>5
[2,5,8,1,3,4,7,6]=>0010001=>2
[3,5,1,8,7,4,2,6]=>0101110=>2
[4,6,1,3,8,2,7,5]=>0100101=>2
[8,6,1,2,3,5,7,4]=>1100001=>6
[5,1,7,8,3,2,4,6]=>1001100=>6
[3,1,7,6,2,8,5,4]=>1011011=>3
[5,3,6,7,4,2,8,1]=>1001101=>4
[5,4,2,8,6,7,3,1]=>1101011=>5
[6,1,4,2,8,7,3,5]=>1010110=>5
[3,7,2,6,8,4,5,1]=>0100101=>2
[4,6,5,2,7,8,3,1]=>0110011=>2
[5,4,6,2,7,8,3,1]=>1010011=>5
[5,1,8,6,4,2,7,3]=>1011101=>4
[6,2,1,8,5,7,4,3]=>1101011=>5
[5,4,6,2,3,1,8,7]=>1010101=>4
[6,5,7,8,1,3,4,2]=>1001001=>5
[2,1,7,6,8,4,5,3]=>1010101=>4
[6,4,7,2,8,3,1,5]=>1010110=>5
[6,3,2,7,8,4,5,1]=>1100101=>6
[4,7,3,1,5,2,8,6]=>0110101=>3
[2,1,4,7,5,3,8,6]=>1001101=>4
[4,7,6,3,1,5,8,2]=>0111001=>3
[2,7,3,1,8,5,4,6]=>0110110=>3
[2,8,3,1,7,4,5,6]=>0110100=>4
[7,6,8,9,1,2,3,4,5]=>10010000=>8
[5,4,6,7,8,9,1,2,3]=>10000100=>7
[1,5,6,8,3,2,4,7]=>0001100=>3
[1,8,2,7,3,5,6,4]=>0101001=>3
[1,7,4,8,6,5,3,2]=>0101111=>1
[1,6,3,5,7,4,8,2]=>0100101=>2
[1,5,4,7,2,8,3,6]=>0101010=>4
[3,8,5,2,6,1,7,4]=>0110101=>3
[3,7,4,8,5,2,6,1]=>0101101=>2
[8,1,2,6,5,3,4,7]=>1001100=>6
[3,7,4,2,5,6,1,8]=>0110010=>4
[6,8,7,1,3,4,2,5]=>0110010=>4
[3,4,2,8,6,7,5,1]=>0101011=>1
[3,7,8,6,1,4,2,5]=>0011010=>2
[3,6,1,5,2,7,8,4]=>0101001=>3
[8,1,2,6,3,5,7,4]=>1001001=>5
[6,2,8,4,7,1,3,5]=>1010100=>7
[3,7,8,4,2,5,6,1]=>0011001=>2
[3,4,2,8,5,1,6,7]=>0101100=>3
[1,4,3,2,5,6,7,8,9]=>01100000=>6
[6,8,2,7,5,4,1,3]=>0101110=>2
[1,8,4,3,7,6,2,5]=>0110110=>3
[4,3,8,7,1,2,6,5]=>1011001=>5
[1,8,4,5,7,6,2,3]=>0100110=>3
[4,3,8,5,7,1,6,2]=>1010101=>4
[6,3,4,8,7,2,1,5]=>1001110=>4
[5,3,8,4,7,1,6,2]=>1010101=>4
[5,2,8,7,1,4,6,3]=>1011001=>5
[3,2,8,7,1,6,4,5]=>1011010=>6
[2,7,8,3,1,6,4,5]=>0011010=>2
[2,7,8,5,1,4,6,3]=>0011001=>2
[3,5,8,7,4,1,6,2]=>0011101=>1
[7,4,6,8,3,5,1,2]=>1001010=>5
[2,7,8,1,3,6,4,5]=>0010010=>3
[2,7,8,1,5,4,6,3]=>0010101=>1
[2,7,8,1,4,5,6,3]=>0010001=>2
[3,6,7,8,2,4,1,5]=>0001010=>2
[4,5,7,8,6,3,1,2]=>0001110=>2
[5,4,6,8,7,3,1,2]=>1001110=>4
[4,5,8,6,7,1,3,2]=>0010101=>1
[5,7,6,8,2,1,3,4]=>0101100=>3
[3,7,6,8,2,4,1,5]=>0101010=>4
[5,4,7,8,6,3,1,2]=>1001110=>4
[4,5,7,8,2,6,1,3]=>0001010=>2
[4,5,6,8,7,3,1,2]=>0001110=>2
[6,1,5,3,8,4,7,2]=>1010101=>4
[1,8,6,2,5,4,7,3]=>0110101=>3
[3,8,4,1,7,5,2,6]=>0110110=>3
[6,2,7,4,8,3,1,5]=>1010110=>5
[2,8,5,1,4,3,7,6]=>0110101=>3
[6,8,2,7,5,1,4,3]=>0101101=>2
[8,3,4,5,6,1,7,2]=>1000101=>5
[5,3,6,4,7,2,1,8]=>1010110=>5
[4,2,6,5,7,3,1,8]=>1010110=>5
[5,4,6,2,7,3,1,8]=>1010110=>5
[3,2,6,5,8,4,1,7]=>1010110=>5
[3,2,6,5,8,7,1,4]=>1010110=>5
[4,2,6,5,8,7,1,3]=>1010110=>5
[5,2,6,4,8,7,1,3]=>1010110=>5
[5,4,7,6,8,2,1,3]=>1010110=>5
[6,4,7,5,8,3,1,2]=>1010110=>5
[4,2,7,5,8,6,1,3]=>1010110=>5
[3,2,7,5,8,4,1,6]=>1010110=>5
[4,3,7,2,8,5,1,6]=>1010110=>5
[4,3,6,2,8,5,1,7]=>1010110=>5
[4,3,7,6,8,5,1,2]=>1010110=>5
[5,3,7,6,8,2,1,4]=>1010110=>5
[5,3,7,2,8,6,1,4]=>1010110=>5
[3,2,6,4,8,7,1,5]=>1010110=>5
[4,2,7,3,8,6,1,5]=>1010110=>5
[5,2,7,6,8,3,1,4]=>1010110=>5
[3,2,7,6,8,4,1,5]=>1010110=>5
[3,2,7,6,8,5,1,4]=>1010110=>5
[6,2,7,5,8,4,1,3]=>1010110=>5
[4,8,1,7,3,2,5,6]=>0101100=>3
[3,7,4,8,2,1,5,6]=>0101100=>3
[3,7,8,2,5,4,6,1]=>0010101=>1
[4,7,5,8,3,2,6,1]=>0101101=>2
[6,7,1,3,2,5,8,4]=>0101001=>3
[8,7,6,4,1,5,3,2]=>1111011=>5
[3,8,5,2,6,4,7,1]=>0110101=>3
[7,2,5,3,4,8,1,6]=>1010010=>6
[4,2,5,3,7,8,6,1]=>1010011=>5
[5,3,6,2,4,1,8,7]=>1010101=>4
[7,8,6,2,3,5,4,1]=>0110011=>2
[5,8,2,6,3,7,4,1]=>0101011=>1
[4,8,2,3,7,5,6,1]=>0100101=>2
[7,5,6,2,3,8,4,1]=>1010011=>5
[2,7,5,6,4,3,8,1]=>0101101=>2
[2,8,4,3,7,5,6,1]=>0110101=>3
[3,8,5,7,6,4,2,1]=>0101111=>1
[7,8,6,3,5,4,2,1]=>0110111=>1
[2,7,6,3,8,5,4,1]=>0110111=>1
[7,4,2,5,6,3,8,1]=>1100101=>6
[6,2,7,5,3,8,4,1]=>1011011=>3
[2,4,8,3,7,5,6,1]=>0010101=>1
[4,8,3,7,5,6,2,1]=>0101011=>1
[6,2,5,8,3,7,4,1]=>1001011=>4
[4,7,3,8,2,5,6,1]=>0101001=>3
[8,2,5,6,3,7,4,1]=>1001011=>4
[4,5,3,7,1,2,6,8]=>0101000=>5
[8,5,6,4,1,3,2,7]=>1011010=>6
[6,7,2,8,4,3,1,5]=>0101110=>2
[6,7,3,2,8,4,1,5]=>0110110=>3
[4,7,8,3,1,5,2,6]=>0011010=>2
[4,5,8,1,3,2,6,7]=>0010100=>3
[4,7,8,1,6,3,2,5]=>0010110=>2
[4,7,1,3,8,6,5,2]=>0100111=>2
[2,6,7,4,3,8,1,5]=>0011010=>2
[3,7,6,4,5,8,1,2]=>0110010=>4
[5,7,2,8,3,4,6,1]=>0101001=>3
[3,7,2,8,5,6,4,1]=>0101011=>1
[3,1,5,8,6,4,7,2]=>1001101=>4
[2,3,8,6,4,5,7,1]=>0011001=>2
[2,3,8,6,4,7,5,1]=>0011011=>1
[3,6,2,8,7,4,5,1]=>0101101=>2
[2,5,6,1,8,7,3,4]=>0010110=>2
[3,6,2,8,4,7,5,1]=>0101011=>1
[2,3,8,5,7,4,6,1]=>0010101=>1
[8,5,6,3,1,4,2,7]=>1011010=>6
[8,3,5,1,6,4,2,7]=>1010110=>5
[5,7,8,3,4,6,2,1]=>0010011=>1
[3,5,1,8,6,4,2,7]=>0101110=>2
[7,5,3,8,6,4,2,1]=>1101111=>3
[5,1,3,8,6,4,2,7]=>1001110=>4
[1,5,8,3,6,4,2,7]=>0010110=>2
[7,5,8,3,6,4,2,1]=>1010111=>3
[1,5,8,6,3,4,2,7]=>0011010=>2
[3,7,5,8,2,6,4,1]=>0101011=>1
[5,7,8,1,4,6,2,3]=>0010010=>3
[1,3,7,8,4,2,6,5]=>0001101=>1
[6,1,2,5,3,4,7,8]=>1001000=>7
[5,1,4,6,7,3,2,8]=>1000110=>5
[1,4,6,5,7,2,3,8]=>0010100=>3
[6,7,3,5,4,1,2,8]=>0101100=>3
[8,1,6,7,3,5,4,2]=>1001011=>4
[4,2,5,1,3,7,6,8]=>1010010=>6
[1,3,2,6,8,4,7,5]=>0100101=>2
[8,2,5,4,1,6,7,3]=>1011001=>5
[8,1,7,5,4,2,6,3]=>1011101=>4
[1,2,6,4,7,3,5,8]=>0010100=>3
[1,6,4,3,7,2,5,8]=>0110100=>4
[5,7,8,3,2,6,1,4]=>0011010=>2
[2,3,4,5,6,9,8,7,1]=>00000111=>1
[2,3,4,5,8,7,9,6,1]=>00001011=>1
[2,3,6,5,7,8,9,4,1]=>00100011=>2
[2,3,4,5,6,7,10,9,8,1]=>000000111=>1
[2,3,4,5,8,9,7,6,1]=>00000111=>1
[2,3,4,5,6,9,8,10,7,1]=>000001011=>1
[8,4,5,1,3,7,6,2]=>1010011=>5
[8,6,4,3,7,1,5,2]=>1110101=>6
[7,5,6,8,1,3,2,4]=>1001010=>5
[6,8,7,5,4,2,3,1]=>0111101=>2
[7,3,1,8,6,5,2,4]=>1101110=>6
[3,4,5,6,7,1,2,8,9]=>00001000=>4
[2,7,3,1,4,8,6,5]=>0110011=>2
[3,1,6,5,7,8,4,2]=>1010011=>5
[4,3,1,5,8,7,6,2]=>1100111=>4
[4,7,1,3,2,5,6,8]=>0101000=>5
[4,1,6,7,3,2,8,5]=>1001101=>4
[1,7,2,5,6,8,4,3]=>0100011=>3
[4,7,6,8,3,1,5,2]=>0101101=>2
[5,4,8,6,1,7,3,2]=>1011011=>3
[3,5,4,7,1,8,6,2]=>0101011=>1
[7,1,5,4,2,3,6,8]=>1011000=>6
[7,1,3,6,4,5,2,8]=>1001010=>5
[6,1,3,8,4,5,2,7]=>1001010=>5
[2,1,8,7,3,6,5,4]=>1011011=>3
[5,8,6,3,1,2,7,4]=>0111001=>3
[5,8,2,7,1,3,6,4]=>0101001=>3
[2,6,5,4,1,3,7,8]=>0111000=>4
[4,1,5,7,6,3,2,8]=>1001110=>4
[6,3,4,2,1,8,7,5]=>1011011=>3
[4,5,1,7,6,3,2,8]=>0101110=>2
[5,4,2,1,8,7,3,6]=>1110110=>7
[6,2,1,5,4,3,8,7]=>1101101=>5
[1,4,2,6,7,8,5,3]=>0100011=>3
[1,4,2,5,6,8,7,3]=>0100011=>3
[2,5,3,6,7,8,4,1]=>0100011=>3
[1,8,6,2,4,3,5,7]=>0110100=>4
[3,2,4,5,7,8,1,6]=>1000010=>6
[2,3,4,7,5,8,6,1]=>0001011=>1
[6,5,2,8,7,4,3,1]=>1101111=>3
[7,8,5,4,2,1,6,3]=>0111101=>2
[7,5,2,8,6,4,3,1]=>1101111=>3
[7,8,3,2,6,5,4,1]=>0110111=>1
[8,2,6,3,7,5,1,4]=>1010110=>5
[8,6,7,2,5,3,1,4]=>1010110=>5
[1,6,2,7,8,4,5,3]=>0100101=>2
[8,6,2,7,5,4,1,3]=>1101110=>6
[1,6,8,2,7,5,3,4]=>0010110=>2
[7,6,3,2,8,1,5,4]=>1110101=>6
[5,1,7,4,3,8,6,2]=>1011011=>3
[8,6,3,7,2,4,1,5]=>1101010=>7
[1,7,8,6,4,2,3,5]=>0011100=>3
[7,2,8,6,4,1,3,5]=>1011100=>5
[1,5,3,7,4,2,6,8]=>0101100=>3
[1,7,6,4,3,2,8,5]=>0111101=>2
[1,7,6,3,4,2,5,8]=>0110100=>4
[1,2,7,4,3,8,6,5]=>0011011=>1
[1,5,4,2,3,8,7,6]=>0110011=>2
[1,5,3,2,4,6,7,8]=>0110000=>5
[1,5,4,2,3,7,8,6]=>0110001=>4
[1,2,7,6,3,5,8,4]=>0011001=>2
[8,1,3,2,6,5,7,4]=>1010101=>4
[3,2,7,5,6,1,8,4]=>1010101=>4
[7,5,6,1,3,2,8,4]=>1010101=>4
[7,4,5,1,6,3,8,2]=>1010101=>4
[7,5,6,1,4,3,8,2]=>1010101=>4
[8,1,4,3,5,2,7,6]=>1010101=>4
[10,5,9,4,8,3,7,2,6,1]=>101010101=>5
[1,3,5,2,4,7,6,9,8,10]=>001001010=>2
[2,3,5,1,4,7,6,9,8]=>00100101=>1
[3,4,1,5,2,7,6,9,8]=>01010101=>4
[4,1,2,5,3,7,6,9,8]=>10010101=>5
[1,4,2,5,3,7,6,9,8,10]=>010101010=>5
[8,3,6,5,4,1,2,7]=>1011100=>5
[1,7,5,8,4,6,3,2]=>0101011=>1
[6,5,7,1,2,8,3,4]=>1010010=>6
[7,1,4,2,3,8,6,5]=>1010011=>5
[3,7,5,6,8,1,2,4]=>0100100=>5
[8,1,2,5,3,7,6,4]=>1001011=>4
[8,6,5,2,4,1,7,3]=>1110101=>6
[3,6,5,2,4,1,7,8]=>0110100=>4
[6,8,5,2,4,3,1,7]=>0110110=>3
[3,4,2,8,6,7,1,5]=>0101010=>4
[4,6,7,2,5,1,8,3]=>0010101=>1
[3,6,2,5,1,7,8,4]=>0101001=>3
[3,4,2,7,8,1,5,6]=>0100100=>5
[3,8,5,2,4,7,1,6]=>0110010=>4
[10,3,1,5,6,7,8,9,2,4]=>110000010=>9
[10,4,1,5,6,7,8,9,2,3]=>110000010=>9
[12,3,4,5,6,7,8,9,10,11,1,2]=>10000000010=>10
[7,1,4,2,5,8,6,3]=>1010011=>5
[7,8,5,1,2,4,3,6]=>0110010=>4
[5,8,1,4,3,6,7,2]=>0101001=>3
[7,2,3,8,6,4,1,5]=>1001110=>4
[5,2,3,8,7,4,1,6]=>1001110=>4
[5,7,6,3,1,2,4,8]=>0111000=>4
[4,2,6,8,1,3,5,7,9]=>10010000=>8
[4,6,2,8,1,3,5,7,9]=>01010000=>6
[4,6,8,2,1,3,5,7,9]=>00110000=>5
[4,6,2,7,8,1,3,5]=>0100100=>5
[4,6,8,2,9,1,3,5,7]=>00101000=>4
[4,6,2,7,9,1,3,5,8]=>01001000=>6
[6,2,3,7,1,4,5,8]=>1001000=>7
[4,2,5,7,9,1,3,6,8]=>10001000=>8
[2,3,5,7,9,1,4,6,8]=>00001000=>4
[4,2,6,8,10,1,3,5,7,9]=>100010000=>9
[6,4,2,8,1,3,5,7,9]=>11010000=>8
[4,6,2,8,10,1,3,5,7,9]=>010010000=>7
[8,4,6,2,1,3,5,7,9]=>10110000=>7
[4,6,8,2,10,1,3,5,7,9]=>001010000=>5
[4,6,8,9,2,1,3,5,7]=>00011000=>4
[4,6,8,10,2,1,3,5,7,9]=>000110000=>5
[4,6,7,8,2,1,3,5]=>0001100=>3
[4,6,2,7,1,3,5,8,9]=>01010000=>6
[4,6,8,2,9,1,3,5,7,10]=>001010000=>5
[4,8,2,5,9,1,3,6,7]=>01001000=>6
[4,6,2,7,9,1,3,5,8,10]=>010010000=>7
[6,2,3,7,9,1,4,5,8]=>10001000=>8
[4,2,5,7,9,1,3,6,8,10]=>100010000=>9
[1,4,5,7,9,2,3,6,8]=>00001000=>4
[2,3,5,7,9,1,4,6,8,10]=>000010000=>5
[8,6,3,2,1,7,5,4]=>1111011=>5
[5,3,4,1,7,8,2,6]=>1010010=>6
[8,6,4,9,7,5,3,2,1]=>11011111=>3
[7,8,5,9,6,4,3,2,1]=>01011111=>1
[8,6,4,2,9,7,5,3,1]=>11101111=>4
[7,8,5,3,9,6,4,2,1]=>01101111=>1
[7,4,8,5,9,6,3,2,1]=>10101111=>3
[6,7,8,4,9,5,3,2,1]=>00101111=>1
[7,8,5,3,1,9,6,4,2]=>01110111=>2
[7,4,8,5,2,9,6,3,1]=>10110111=>3
[6,7,8,4,2,9,5,3,1]=>00110111=>1
[6,7,3,8,4,9,5,2,1]=>01010111=>1
[5,6,7,8,3,9,4,2,1]=>00010111=>1
[6,7,3,8,4,1,9,5,2]=>01011011=>1
[5,6,7,8,3,1,9,4,2]=>00011011=>1
[6,2,7,3,8,4,9,5,1]=>10101011=>4
[5,6,7,2,8,3,9,4,1]=>00101011=>1
[4,5,6,7,8,2,9,3,1]=>00001011=>1
[5,6,1,7,2,8,3,9,4]=>01010101=>4
[4,5,6,7,1,8,2,9,3]=>00010101=>1
[9,7,10,8,6,5,4,3,2,1]=>101111111=>2
[9,7,5,10,8,6,4,3,2,1]=>110111111=>3
[8,9,6,10,7,5,4,3,2,1]=>010111111=>1
[9,7,5,3,10,8,6,4,2,1]=>111011111=>4
[8,9,6,4,10,7,5,3,2,1]=>011011111=>1
[8,5,9,6,10,7,4,3,2,1]=>101011111=>3
[7,8,9,5,10,6,4,3,2,1]=>001011111=>1
[8,9,6,4,2,10,7,5,3,1]=>011101111=>1
[8,5,9,6,3,10,7,4,2,1]=>101101111=>3
[7,8,9,5,3,10,6,4,2,1]=>001101111=>1
[7,8,4,9,5,10,6,3,2,1]=>010101111=>1
[6,7,8,9,4,10,5,3,2,1]=>000101111=>1
[8,5,9,6,3,1,10,7,4,2]=>101110111=>3
[7,8,9,5,3,1,10,6,4,2]=>001110111=>1
[8,5,2,9,6,3,10,7,4,1]=>110110111=>5
[6,7,8,9,4,2,10,5,3,1]=>000110111=>1
[7,3,8,4,9,5,10,6,2,1]=>101010111=>4
[6,7,8,3,9,4,10,5,2,1]=>001010111=>1
[5,6,7,8,9,3,10,4,2,1]=>000010111=>1
[7,8,4,1,9,5,2,10,6,3]=>011011011=>3
[7,3,8,4,9,5,1,10,6,2]=>101011011=>4
[6,7,8,3,9,4,1,10,5,2]=>001011011=>1
[5,6,7,8,9,3,1,10,4,2]=>000011011=>1
[6,7,2,8,3,9,4,10,5,1]=>010101011=>1
[5,6,7,8,2,9,3,10,4,1]=>000101011=>1
[4,5,6,7,8,9,2,10,3,1]=>000001011=>1
[5,6,7,1,8,2,9,3,10,4]=>001010101=>1
[4,5,6,7,8,1,9,2,10,3]=>000010101=>1
[6,1,3,4,2,5,8,7]=>1001001=>5
[5,1,3,6,2,4,8,7]=>1001001=>5
[1,5,7,6,8,2,4,3]=>0010101=>1
[5,7,1,3,8,4,2,6]=>0100110=>3
[2,6,1,4,3,7,8,5]=>0101001=>3
[1,6,2,4,3,5,8,7]=>0101001=>3
[5,3,7,6,1,8,4,2]=>1011011=>3
[1,5,6,3,7,8,4,2]=>0010011=>1
[1,5,7,6,3,8,4,2]=>0011011=>1
[7,3,5,6,1,8,4,2]=>1001011=>4
[1,6,3,7,8,5,4,2]=>0100111=>2
[1,7,8,6,3,5,4,2]=>0011011=>1
[3,7,5,6,1,8,4,2]=>0101011=>1
[5,6,2,8,4,7,3,1]=>0101011=>1
[5,7,6,3,4,8,1,2]=>0110010=>4
[3,7,5,4,6,1,2,8]=>0110100=>4
[5,3,4,7,6,8,1,2]=>1001010=>5
[5,3,7,4,6,1,2,8]=>1010100=>7
[7,3,5,4,6,1,2,8]=>1010100=>7
[7,8,3,5,4,1,2,6]=>0101100=>3
[7,3,5,4,1,2,6,8]=>1011000=>6
[5,7,6,3,4,1,2,8]=>0110100=>4
[3,5,4,1,2,7,6,8]=>0110010=>4
[5,7,6,1,3,2,4,8]=>0110100=>4
[5,3,4,1,2,7,6,8]=>1010010=>6
[7,8,3,1,2,5,4,6]=>0110010=>4
[7,8,5,1,3,2,4,6]=>0110100=>4
[7,5,6,1,3,2,4,8]=>1010100=>7
[7,5,1,3,8,6,2,4]=>1100110=>6
[7,1,3,8,2,5,4,6]=>1001010=>5
[3,1,5,4,7,2,6,8]=>1010100=>7
[5,7,6,1,3,8,2,4]=>0110010=>4
[5,7,6,3,8,1,4,2]=>0110101=>3
[5,1,3,7,6,2,4,8]=>1001100=>6
[1,6,3,7,2,4,5,8]=>0101000=>5
[5,3,2,4,8,1,7,6]=>1100101=>6
[6,8,5,3,2,7,1,4]=>0111010=>3
[8,3,7,2,6,5,1,4]=>1010110=>5
[4,6,2,7,1,3,8,5]=>0101001=>3
[3,4,6,5,1,8,7,2]=>0011011=>1
[8,7,1,5,3,2,6,4]=>1101101=>5
[3,5,1,4,7,2,8,6]=>0100101=>2
[5,1,4,8,7,3,2,6]=>1001110=>4
[6,1,3,4,2,7,8,5]=>1001001=>5
[6,5,2,3,7,8,1,4]=>1100010=>7
[1,5,3,8,4,2,7,6]=>0101101=>2
[5,4,2,1,8,3,7,6]=>1110101=>6
[3,1,7,4,2,6,8,5]=>1011001=>5
[7,4,8,2,3,5,1,6]=>1010010=>6
[8,4,1,3,2,6,7,5]=>1101001=>6
[8,1,7,3,2,5,6,4]=>1011001=>5
[8,6,5,2,7,3,1,4]=>1110110=>7
[3,1,6,8,4,2,7,5]=>1001101=>4
[1,5,2,8,3,6,7,4]=>0101001=>3
[2,3,4,5,9,6,7,8,1]=>00001001=>1
[2,3,4,9,5,6,7,8,1]=>00010001=>2
[2,3,9,4,5,6,7,8,1]=>00100001=>3
[2,3,4,5,6,7,10,8,9,1]=>000000101=>1
[2,3,4,5,9,7,6,8,1]=>00001101=>1
[2,3,4,5,6,10,7,8,9,1]=>000001001=>1
[2,3,4,9,6,5,7,8,1]=>00011001=>1
[2,3,9,5,4,6,7,8,1]=>00110001=>3
[2,3,4,10,5,6,7,8,9,1]=>000100001=>2
[2,9,4,3,5,6,7,8,1]=>01100001=>5
[2,3,10,4,5,6,7,8,9,1]=>001000001=>4
[2,3,4,5,9,7,8,6,1]=>00001011=>1
[5,6,2,3,7,4,1,8]=>0100110=>3
[6,2,4,7,3,5,1,8]=>1001010=>5
[1,4,8,5,3,6,7,2]=>0011001=>2
[2,5,6,3,1,8,4,7]=>0011010=>2
[4,5,1,2,7,8,6,3]=>0100011=>3
[4,8,5,1,2,6,7,3]=>0110001=>4
[4,6,7,5,1,2,8,3]=>0011001=>2
[7,2,8,1,4,5,3,6]=>1010010=>6
[6,1,4,7,3,8,2,5]=>1001010=>5
[7,1,6,3,4,8,2,5]=>1010010=>6
[2,8,4,6,3,1,5,7]=>0101100=>3
[8,2,6,3,5,1,4,7]=>1010100=>7
[3,7,4,1,5,8,2,6]=>0110010=>4
[3,8,4,1,7,2,5,6]=>0110100=>4
[6,7,5,1,3,8,2,4]=>0110010=>4
[8,5,1,3,6,7,2,4]=>1100010=>7
[7,8,6,2,4,1,3,5]=>0110100=>4
[8,2,4,1,3,6,7,5]=>1010001=>6
[8,1,3,6,2,5,7,4]=>1001001=>5
[1,5,6,3,8,4,7,2]=>0010101=>1
[5,6,1,3,7,2,8,4]=>0100101=>2
[5,6,1,8,2,3,7,4]=>0101001=>3
[5,6,1,2,8,4,7,3]=>0100101=>2
[3,7,8,1,6,4,2,5]=>0010110=>2
[1,7,8,6,3,4,2,5]=>0011010=>2
[1,7,3,8,6,4,2,5]=>0101110=>2
[5,7,1,8,6,4,2,3]=>0101110=>2
[7,8,1,5,6,4,2,3]=>0100110=>3
[7,1,8,5,6,4,2,3]=>1010110=>5
[7,1,5,8,6,4,2,3]=>1001110=>4
[8,1,3,5,6,4,2,7]=>1000110=>5
[1,3,8,5,6,4,2,7]=>0010110=>2
[1,3,5,8,6,4,2,7]=>0001110=>2
[1,5,7,8,6,4,2,3]=>0001110=>2
[3,2,4,1,6,5,8,7,10,9]=>101010101=>5
[3,2,5,4,7,6,9,8,10,1]=>101010101=>5
[1,8,2,6,5,3,4,7]=>0101100=>3
[8,6,1,5,2,3,4,7]=>1101000=>7
[8,5,1,6,2,3,4,7]=>1101000=>7
[7,6,1,2,3,8,4,5]=>1100010=>7
[2,7,8,4,1,3,5,6]=>0011000=>4
[6,8,1,2,3,7,4,5]=>0100010=>4
[8,1,3,5,6,7,2,4]=>1000010=>6
[8,1,2,5,3,4,7,6]=>1001001=>5
[5,2,7,3,4,8,1,6]=>1010010=>6
[8,6,4,7,3,5,2,1]=>1101011=>5
[4,2,1,6,5,7,8,3]=>1101001=>6
[2,7,5,4,1,3,6,8]=>0111000=>4
[2,7,4,6,5,1,8,3]=>0101101=>2
[6,8,7,5,2,1,4,3]=>0111101=>2
[2,8,6,3,5,1,4,7]=>0110100=>4
[1,2,8,6,4,5,3,7]=>0011010=>2
[1,5,8,7,6,3,4,2]=>0011101=>1
[1,6,4,8,5,7,3,2]=>0101011=>1
[1,6,8,5,2,7,3,4]=>0011010=>2
[1,6,8,5,4,2,3,7]=>0011100=>3
[2,1,8,3,4,5,6,7,9]=>10100000=>8
[3,1,6,4,2,5,8,7]=>1011001=>5
[5,4,2,3,6,8,1,7]=>1100010=>7
[8,2,6,3,5,7,1,4]=>1010010=>6
[3,1,7,8,6,2,5,4]=>1001101=>4
[2,8,1,6,5,3,7,4]=>0101101=>2
[2,1,5,7,6,3,8,4]=>1001101=>4
[4,3,5,1,7,8,6,2]=>1010011=>5
[1,8,5,2,3,4,7,6]=>0110001=>4
[1,9,6,2,3,4,5,8,7]=>01100001=>5
[1,5,8,2,3,4,7,6]=>0010001=>2
[1,2,7,8,4,5,6,3]=>0001001=>1
[1,2,3,4,5,6,9,7,10,8]=>000000101=>1
[2,3,4,5,6,9,10,1,7,8]=>000000100=>3
[4,3,8,7,6,2,5,1]=>1011101=>4
[5,4,8,2,7,6,3,1]=>1010111=>3
[2,3,6,1,7,5,8,4]=>0010101=>1
[4,6,5,2,1,7,8,3]=>0111001=>3
[4,6,1,7,5,8,3,2]=>0101011=>1
[4,1,5,7,6,8,3,2]=>1001011=>4
[3,5,6,2,1,4,7,8]=>0011000=>4
[4,3,6,5,1,7,8,2]=>1011001=>5
[4,6,5,3,1,7,8,2]=>0111001=>3
[1,2,3,4,5,7,6,8,9,10]=>000001000=>4
[1,2,3,5,4,6,7,8,9,10]=>000100000=>6
[1,2,3,5,4,7,6,9,8,10]=>000101010=>2
[5,8,1,4,2,3,6,7]=>0101000=>5
[4,5,8,2,3,1,6,7]=>0010100=>3
[3,5,4,8,1,7,2,6]=>0101010=>4
[5,3,6,8,1,4,7,2]=>1001001=>5
[3,5,1,8,6,4,7,2]=>0101101=>2
[4,7,2,8,3,1,6,5]=>0101101=>2
[1,2,5,6,8,3,7,4]=>0000101=>1
[5,3,8,4,6,2,7,1]=>1010101=>4
[7,4,8,1,5,2,6,3]=>1010101=>4
[8,3,2,1,6,5,7,4]=>1110101=>6
[4,1,5,6,8,7,2,3]=>1000110=>5
[1,2,5,6,8,4,7,3]=>0000101=>1
[1,5,6,8,4,7,2,3]=>0001010=>2
[5,6,8,1,2,4,7,3]=>0010001=>2
[6,8,1,4,5,7,2,3]=>0100010=>4
[4,3,5,1,8,6,7,2]=>1010101=>4
[1,3,5,6,8,4,7,2]=>0000101=>1
[5,6,8,2,3,4,7,1]=>0010001=>2
[9,8,7,4,5,6,3,2,1]=>11100111=>5
[6,5,1,2,4,8,7,3]=>1100011=>5
[5,8,7,2,1,3,6,4]=>0111001=>3
[5,1,7,2,8,6,3,4]=>1010110=>5
[6,1,5,3,4,8,7,2]=>1010011=>5
[5,8,6,3,2,1,4,7]=>0111100=>3
[8,7,1,6,3,5,4,2]=>1101011=>5
[3,2,1,7,8,6,4,5]=>1100110=>6
[8,6,7,1,2,5,3,4]=>1010010=>6
[1,5,6,4,2,8,7,3]=>0011011=>1
[7,5,1,4,8,2,3,6]=>1100100=>7
[3,2,8,1,7,5,6,4]=>1010101=>4
[8,4,3,1,7,5,6,2]=>1110101=>6
[6,1,7,8,4,2,3,5]=>1001100=>6
[7,4,3,1,8,5,2,6]=>1110110=>7
[7,8,1,6,3,4,5,2]=>0101001=>3
[6,8,1,7,3,4,2,5]=>0101010=>4
[1,5,6,7,8,9,2,3,4]=>00000100=>3
[1,8,9,10,2,3,4,5,6,7]=>000100000=>6
[1,7,2,8,9,3,4,5,6]=>01001000=>6
[1,6,2,7,8,9,3,4,5]=>01000100=>6
[1,5,2,6,7,8,9,3,4]=>01000010=>5
[1,5,6,7,8,9,10,2,3,4]=>000000100=>3
[3,4,2,1,5,6,7,8,9]=>01100000=>6
[4,3,1,2,5,6,7,8,9]=>11000000=>8
[3,4,2,1,5,6,7,8,9,10]=>011000000=>7
[4,5,2,1,3,6,7,8,9]=>01100000=>6
[3,4,2,5,1,6,7,8,9]=>01010000=>6
[5,3,1,2,4,6,7,8,9]=>11000000=>8
[4,3,5,1,2,6,7,8,9]=>10100000=>8
[4,3,1,2,5,6,7,8,9,10]=>110000000=>9
[3,1,2,4,5,6,7,8,9,10,11]=>1000000000=>10
[4,6,5,3,8,2,7,1]=>0110101=>3
[4,5,6,3,8,1,7,2]=>0010101=>1
[7,8,3,5,2,1,6,4]=>0101101=>2
[6,3,7,5,2,4,1,8]=>1011010=>6
[6,2,4,5,7,3,1,8]=>1000110=>5
[7,8,1,5,6,4,3,2]=>0100111=>2
[6,3,7,5,1,4,2,8]=>1011010=>6
[1,3,8,2,4,6,7,5]=>0010001=>2
[6,1,7,3,4,2,5,8]=>1010100=>7
[3,1,7,2,5,8,6,4]=>1010011=>5
[2,8,7,6,3,5,1,4]=>0111010=>3
[2,8,7,1,5,6,4,3]=>0110011=>2
[3,5,6,2,8,1,7,4]=>0010101=>1
[5,3,1,8,6,2,7,4]=>1101101=>5
[3,1,4,6,8,2,7,5]=>1000101=>5
[4,1,5,7,3,8,2,6]=>1001010=>5
[6,2,5,8,4,7,3,1]=>1001011=>4
[7,2,8,5,4,3,6,1]=>1011101=>4
[7,1,6,8,2,5,3,4]=>1001010=>5
[2,6,5,7,8,4,1,3]=>0100110=>3
[3,6,5,7,4,1,8,2]=>0101101=>2
[1,6,5,7,4,2,3,8]=>0101100=>3
[3,4,7,5,2,1,8,6]=>0011101=>1
[3,6,7,5,8,4,1,2]=>0010110=>2
[3,4,7,2,5,6,8,1]=>0010001=>2
[2,5,3,7,8,6,4,1]=>0100111=>2
[7,2,8,4,5,6,3,1]=>1010011=>5
[6,2,3,8,5,4,7,1]=>1001101=>4
[5,4,3,1,2,6,7,8,9]=>11100000=>8
[6,5,4,3,1,2,7,8,9]=>11110000=>8
[8,5,4,3,9,1,2,6,7]=>11101000=>8
[6,5,4,3,1,2,7,8,9,10]=>111100000=>9
[7,6,5,4,3,1,2,8,9,10]=>111110000=>9
[9,6,5,4,3,10,1,2,7,8]=>111101000=>9
[6,8,7,3,2,4,5,1]=>0111001=>3
[3,8,6,1,4,5,7,2]=>0110001=>4
[7,5,8,6,4,1,3,2]=>1011101=>4
[2,7,6,3,8,5,1,4]=>0110110=>3
[2,3,1,8,4,6,5,7]=>0101010=>4
[2,3,1,7,6,8,4,5]=>0101010=>4
[2,3,1,8,4,6,7,5]=>0101001=>3
[6,2,3,4,5,1,9,7,8]=>10001010=>6
[4,2,3,5,1,8,6,7]=>1001010=>5
[2,3,4,5,9,7,1,8,6]=>00001101=>1
[2,3,4,9,6,7,1,8,5]=>00010101=>1
[2,3,9,5,6,1,7,8,4]=>00101001=>2
[2,3,9,5,1,7,4,8,6]=>00110101=>1
[2,3,4,5,6,7,10,9,1,8]=>000000110=>2
[2,3,4,5,6,10,8,9,1,7]=>000001010=>2
[2,3,4,5,6,10,8,1,9,7]=>000001101=>1
[2,3,4,5,6,10,8,1,7,9]=>000001100=>3
[2,3,4,5,6,10,1,7,8,9]=>000001000=>4
[2,3,4,5,10,7,8,9,1,6]=>000010010=>2
[2,3,4,5,10,7,8,1,9,6]=>000010101=>1
[2,3,4,5,10,7,8,1,6,9]=>000010100=>3
[2,3,4,5,10,7,1,9,6,8]=>000011010=>2
[2,3,4,5,10,7,1,6,8,9]=>000011000=>4
[2,3,4,5,10,1,6,7,8,9]=>000010000=>5
[2,3,4,10,6,7,8,1,9,5]=>000100101=>1
[2,3,4,10,6,7,8,1,5,9]=>000100100=>3
[2,3,4,10,6,7,1,8,9,5]=>000101001=>1
[2,3,4,10,6,7,1,9,5,8]=>000101010=>2
[2,3,4,10,6,7,1,5,8,9]=>000101000=>4
[2,3,4,10,6,1,8,5,9,7]=>000110101=>1
[2,3,4,10,6,1,8,5,7,9]=>000110100=>3
[2,3,4,10,6,1,5,7,8,9]=>000110000=>5
[2,3,4,10,1,5,6,7,8,9]=>000100000=>6
[2,3,10,5,6,1,8,9,4,7]=>001010010=>3
[2,3,10,5,6,1,8,4,9,7]=>001010101=>1
[2,3,10,5,6,1,8,4,7,9]=>001010100=>3
[2,3,10,5,6,1,4,7,8,9]=>001010000=>5
[2,3,10,5,1,7,4,9,6,8]=>001101010=>2
[2,3,10,5,1,7,4,6,8,9]=>001101000=>4
[2,3,10,5,1,4,6,7,8,9]=>001100000=>6
[2,10,4,1,6,3,8,5,9,7]=>011010101=>4
[2,10,4,1,6,3,8,5,7,9]=>011010100=>5
[2,10,4,1,6,3,5,7,8,9]=>011010000=>6
[2,10,4,1,3,5,6,7,8,9]=>011000000=>7
[5,8,7,2,6,4,1,3]=>0110110=>3
[6,8,5,1,7,4,3,2]=>0110111=>1
[6,8,5,2,7,4,1,3]=>0110110=>3
[7,3,8,6,5,2,1,4]=>1011110=>4
[7,5,8,1,6,4,3,2]=>1010111=>3
[7,5,8,2,6,4,1,3]=>1010110=>5
[6,3,2,8,1,7,5,4]=>1101011=>5
[2,1,3,4,5,6,8,7,9]=>10000010=>7
[2,3,4,5,6,8,7,9,1]=>00000101=>1
[2,6,8,7,1,3,5,4]=>0011001=>2
[5,3,8,7,6,2,1,4]=>1011110=>4
[3,7,6,1,4,5,2,8]=>0110010=>4
[4,1,6,2,7,5,3,8]=>1010110=>5
[7,6,2,5,3,1,4,8]=>1101100=>7
[4,3,1,7,6,2,5,8]=>1101100=>7
[4,5,3,1,2,8,6,7]=>0110010=>4
[2,4,5,3,1,8,6,7]=>0011010=>2
[5,7,6,2,3,1,4,8]=>0110100=>4
[4,1,3,7,5,2,6,8]=>1001100=>6
[4,1,6,3,2,7,5,8]=>1011010=>6
[7,5,4,1,3,2,6,8]=>1110100=>7
[2,4,8,5,6,3,1,7]=>0010110=>2
[2,5,7,4,1,3,6,8]=>0011000=>4
[5,7,4,1,3,2,6,8]=>0110100=>4
[2,6,8,4,5,3,1,7]=>0010110=>2
[5,2,3,7,4,1,6,8]=>1001100=>6
[4,5,1,6,3,2,7,8]=>0101100=>3
[5,1,6,3,2,4,7,8]=>1011000=>6
[4,2,5,1,6,3,7,8]=>1010100=>7
[5,1,6,2,4,3,7,8]=>1010100=>7
[5,3,4,8,7,6,2,1]=>1001111=>3
[8,3,1,6,7,5,4,2]=>1100111=>4
[8,4,6,5,7,2,3,1]=>1010101=>4
[1,8,2,6,7,4,5,3]=>0100101=>2
[8,5,7,2,4,3,6,1]=>1010101=>4
[8,5,3,6,4,7,2,1]=>1101011=>5
[8,2,5,3,6,7,4,1]=>1010011=>5
[1,2,8,3,4,7,6,5]=>0010011=>1
[6,8,5,2,7,1,3,4]=>0110100=>4
[7,6,4,5,2,1,8,3]=>1101101=>5
[8,2,4,7,6,3,1,5]=>1001110=>4
[7,3,8,5,4,2,1,6]=>1011110=>4
[6,3,4,7,2,8,5,1]=>1001011=>4
[8,1,7,3,6,4,2,5]=>1010110=>5
[7,1,8,5,3,4,2,6]=>1011010=>6
[6,8,4,3,1,5,2,7]=>0111010=>3
[1,4,5,8,3,2,6,7]=>0001100=>3
[1,5,2,4,7,8,6,3]=>0100011=>3
[5,2,7,4,3,8,6,1]=>1011011=>3
[2,7,3,4,8,5,6,1]=>0100101=>2
[2,7,6,8,3,5,4,1]=>0101011=>1
[2,7,4,5,3,8,6,1]=>0101011=>1
[6,2,3,7,4,5,8,1]=>1001001=>5
[1,6,3,2,7,5,8,4]=>0110101=>3
[7,3,5,2,6,8,1,4]=>1010010=>6
[6,4,2,7,1,5,8,3]=>1101001=>6
[2,5,3,6,4,7,8,1]=>0101001=>3
[4,2,5,3,6,7,8,1]=>1010001=>6
[1,6,5,2,4,7,3,8]=>0110010=>4
[1,8,7,2,4,6,3,5]=>0110010=>4
[1,8,7,2,5,4,3,6]=>0110110=>3
[1,5,4,2,7,3,6,8]=>0110100=>4
[1,5,4,2,8,7,3,6]=>0110110=>3
[1,6,8,3,5,2,4,7]=>0010100=>3
[1,7,6,2,3,5,8,4]=>0110001=>4
[1,2,8,3,6,5,4,7]=>0010110=>2
[1,3,8,6,5,2,4,7]=>0011100=>3
[1,4,7,3,2,8,6,5]=>0011011=>1
[1,8,6,5,2,4,7,3]=>0111001=>3
[1,6,8,4,3,2,5,7]=>0011100=>3
[1,7,5,3,2,6,4,8]=>0111010=>3
[1,2,6,5,3,8,4,7]=>0011010=>2
[1,7,3,2,8,4,6,5]=>0110101=>3
[1,6,5,2,8,4,7,3]=>0110101=>3
[1,8,3,7,2,4,6,5]=>0101001=>3
[5,4,2,8,7,6,1,3]=>1101110=>6
[8,6,3,2,5,7,4,1]=>1110011=>5
[7,3,2,1,6,5,8,4]=>1110101=>6
[7,3,2,6,1,5,8,4]=>1101001=>6
[6,8,5,2,7,1,4,3]=>0110101=>3
[6,8,2,5,1,7,4,3]=>0101011=>1
[6,8,5,7,2,1,4,3]=>0101101=>2
[6,5,8,2,7,4,1,3]=>1010110=>5
[6,2,1,7,5,8,4,3]=>1101011=>5
[1,6,4,8,5,3,7,2]=>0101101=>2
[1,6,5,3,4,7,8,2]=>0110001=>4
[4,2,6,7,8,1,3,5]=>1000100=>6
[4,6,5,1,3,7,8,2]=>0110001=>4
[5,1,7,2,6,4,8,3]=>1010101=>4
[4,1,7,6,5,8,2,3]=>1011010=>6
[5,2,1,7,6,4,8,3]=>1101101=>5
[4,2,3,6,7,8,1,5]=>1000010=>6
[4,7,2,1,6,5,8,3]=>0110101=>3
[2,7,6,4,1,5,8,3]=>0111001=>3
[2,4,3,6,7,8,1,5]=>0100010=>4
[6,8,5,2,7,3,1,4]=>0110110=>3
[7,5,2,4,1,8,3,6]=>1101010=>7
[6,5,1,3,7,8,2,4]=>1100010=>7
[7,2,1,4,3,5,8,6]=>1101001=>6
[6,1,2,4,3,7,8,5]=>1001001=>5
[8,1,5,4,2,3,6,7]=>1011000=>6
[7,1,2,4,6,3,8,5]=>1000101=>5
[7,1,2,6,5,3,8,4]=>1001101=>4
[7,5,6,1,2,4,8,3]=>1010001=>6
[7,1,4,5,2,3,6,8]=>1001000=>7
[6,1,4,8,7,2,3,5]=>1001100=>6
[6,1,8,5,7,2,3,4]=>1010100=>7
[1,6,7,5,8,3,4,2]=>0010101=>1
[6,1,7,5,8,2,3,4]=>1010100=>7
[6,1,4,7,8,2,3,5]=>1000100=>6
[8,1,2,3,7,5,4,6]=>1000110=>5
[5,8,6,1,2,4,7,3]=>0110001=>4
[1,6,8,7,5,3,4,2]=>0011101=>1
[6,1,8,7,5,2,3,4]=>1011100=>5
[8,3,1,2,4,6,5,7]=>1100010=>7
[8,3,1,2,4,5,7,6]=>1100001=>6
[6,3,1,2,4,7,5,8]=>1100010=>7
[6,7,1,4,2,3,5,8]=>0101000=>5
[6,1,7,4,8,2,3,5]=>1010100=>7
[6,7,8,5,1,2,4,3]=>0011001=>2
[8,6,5,4,3,2,7,9,1]=>11111001=>7
[8,9,5,4,3,2,1,6,7]=>01111100=>3
[7,6,5,4,3,8,9,1,2]=>11110010=>8
[9,6,5,4,3,2,7,1,8]=>11111010=>8
[8,7,6,5,4,3,2,9,1,10]=>111111010=>9
[9,2,3,4,5,6,1,7,8]=>10000100=>7
[3,1,5,6,7,8,9,2,4]=>10000010=>7
[2,1,3,5,6,7,8,9,4]=>10000001=>7
[4,3,8,5,6,2,7,1]=>1010101=>4
[4,3,8,6,7,2,5,1]=>1010101=>4
[7,6,8,1,5,3,4,2]=>1010101=>4
[7,4,6,1,5,3,8,2]=>1010101=>4
[6,3,8,1,7,2,5,4]=>1010101=>4
[6,1,5,4,8,2,7,3]=>1010101=>4
[6,2,5,4,7,1,8,3]=>1010101=>4
[2,6,3,4,8,7,5,1]=>0100111=>2
[2,7,4,5,1,8,3,6]=>0101010=>4
[8,4,5,7,6,1,2,3]=>1001100=>6
[8,4,5,7,1,3,6,2]=>1001001=>5
[8,1,3,4,6,7,5,2]=>1000011=>5
[8,7,6,2,3,5,4,1]=>1110011=>5
[8,3,6,7,5,1,2,4]=>1001100=>6
[8,2,1,6,5,7,4,3]=>1101011=>5
[2,7,1,8,5,6,4,3]=>0101011=>1
[2,7,8,6,1,5,3,4]=>0011010=>2
[4,6,8,2,3,5,1,7]=>0010010=>3
[6,8,2,1,3,5,4,7]=>0110010=>4
[3,5,1,6,4,8,2,7]=>0101010=>4
[3,5,8,6,2,1,4,7]=>0011100=>3
[2,4,8,5,6,1,3,7]=>0010100=>3
[4,8,2,5,6,1,3,7]=>0100100=>5
[5,3,8,4,2,7,6,1]=>1011011=>3
[2,8,5,3,1,4,7,6]=>0111001=>3
[1,7,8,4,6,3,2,5]=>0010110=>2
[8,7,2,4,6,3,1,5]=>1100110=>6
[8,7,3,2,1,6,4,5]=>1111010=>7
[7,8,3,4,6,5,2,1]=>0100111=>2
[8,7,3,6,5,2,4,1]=>1101101=>5
[3,1,2,8,6,5,7,4]=>1001101=>4
[3,8,2,7,5,4,6,1]=>0101101=>2
[8,7,1,4,5,3,6,2]=>1100101=>6
[2,8,7,4,6,3,5,1]=>0110101=>3
[2,8,7,4,6,3,1,5]=>0110110=>3
[8,3,4,1,2,5,7,6]=>1010001=>6
[8,4,1,3,2,5,7,6]=>1101001=>6
[7,3,8,6,2,1,4,5]=>1011100=>5
[7,2,8,4,6,5,1,3]=>1010110=>5
[5,8,6,4,7,2,3,1]=>0110101=>3
[4,7,2,6,5,8,3,1]=>0101011=>1
[3,6,8,5,7,4,2,1]=>0010111=>1
[6,7,5,2,4,8,3,1]=>0110011=>2
[8,1,2,7,5,6,3,4]=>1001010=>5
[8,2,7,3,4,6,1,5]=>1010010=>6
[6,7,5,4,8,1,3,2]=>0110101=>3
[8,3,5,6,4,7,2,1]=>1001011=>4
[8,5,6,2,4,3,7,1]=>1010101=>4
[6,5,8,1,3,4,2,7]=>1010010=>6
[6,8,4,5,1,3,2,7]=>0101010=>4
[6,4,8,7,5,3,2,1]=>1011111=>2
[6,7,1,4,3,2,8,5]=>0101101=>2
[7,2,5,1,4,8,3,6]=>1010010=>6
[5,8,1,3,4,2,7,6]=>0100101=>2
[1,5,6,3,2,8,7,4]=>0011011=>1
[1,3,7,6,8,4,2,5]=>0010110=>2
[1,6,7,3,2,8,5,4]=>0011011=>1
[3,2,7,6,8,4,5,1]=>1010101=>4
[1,3,8,5,2,7,6,4]=>0011011=>1
[6,4,1,5,2,8,7,3]=>1101011=>5
[7,6,5,3,1,8,2,4]=>1111010=>7
[2,5,1,4,7,3,6,8]=>0100100=>5
[3,1,6,5,7,2,4,8]=>1010100=>7
[2,6,1,5,7,4,8,3]=>0100101=>2
[2,5,7,1,6,3,8,4]=>0010101=>1
[2,6,1,5,7,4,3,8]=>0100110=>3
[3,1,6,5,2,4,7,8]=>1011000=>6
[3,6,5,1,4,2,7,8]=>0110100=>4
[3,6,5,1,7,2,4,8]=>0110100=>4
[3,6,5,2,1,4,7,8]=>0111000=>4
[5,4,3,6,1,7,2,8]=>1101010=>7
[4,5,2,7,6,1,3,8]=>0101100=>3
[4,6,5,3,1,2,7,8]=>0111000=>4
[5,4,1,6,3,7,2,8]=>1101010=>7
[5,4,2,6,3,7,8,1]=>1101001=>6
[3,6,5,7,1,4,2,8]=>0101010=>4
[3,6,5,1,4,7,2,8]=>0110010=>4
[4,3,6,5,7,1,2,8]=>1010100=>7
[4,2,6,5,1,3,7,8]=>1011000=>6
[4,1,6,5,3,7,8,2]=>1011001=>5
[4,2,5,7,6,1,3,8]=>1001100=>6
[3,4,7,6,1,2,5,8]=>0011000=>4
[4,2,5,7,6,3,8,1]=>1001101=>4
[4,1,6,5,2,7,3,8]=>1011010=>6
[3,6,5,7,2,1,4,8]=>0101100=>3
[3,5,7,6,2,4,1,8]=>0011010=>2
[5,4,2,6,3,7,1,8]=>1101010=>7
[4,6,5,2,7,3,1,8]=>0110110=>3
[4,6,5,2,1,7,3,8]=>0111010=>3
[3,5,8,2,1,4,6,7]=>0011000=>4
[3,5,8,2,4,6,7,1]=>0010001=>2
[5,3,8,2,1,4,6,7]=>1011000=>6
[5,3,1,8,2,4,6,7]=>1101000=>7
[5,1,3,8,2,4,6,7]=>1001000=>7
[1,5,8,4,2,3,6,7]=>0011000=>4
[5,8,2,1,4,3,6,7]=>0110100=>4
[5,8,2,4,1,6,7,3]=>0101001=>3
[5,8,2,4,6,3,1,7]=>0100110=>3
[5,8,2,4,3,6,1,7]=>0101010=>4
[5,8,1,4,6,2,3,7]=>0100100=>5
[1,5,8,4,6,7,2,3]=>0010010=>3
[5,1,8,4,6,7,2,3]=>1010010=>6
[5,8,2,4,6,3,7,1]=>0100101=>2
[3,8,4,6,7,2,1,5]=>0100110=>3
[3,8,4,6,7,2,5,1]=>0100101=>2
[8,4,3,6,7,2,5,1]=>1100101=>6
[8,4,3,6,7,2,1,5]=>1100110=>6
[8,6,2,4,5,3,7,1]=>1100101=>6
[1,8,6,4,5,7,2,3]=>0110010=>4
[8,6,2,4,5,3,1,7]=>1100110=>6
[1,8,6,4,2,3,5,7]=>0111000=>4
[3,8,1,6,2,4,5,7]=>0101000=>5
[3,8,6,2,1,4,5,7]=>0111000=>4
[3,8,6,2,4,1,5,7]=>0110100=>4
[3,8,6,2,4,5,7,1]=>0110001=>4
[8,3,6,2,4,5,1,7]=>1010010=>6
[8,1,3,6,2,4,5,7]=>1001000=>7
[8,3,6,7,2,1,4,5]=>1001100=>6
[3,8,6,7,2,1,4,5]=>0101100=>3
[8,2,6,4,5,1,7,3]=>1010101=>4
[1,8,4,6,7,5,2,3]=>0100110=>3
[8,4,6,2,3,7,5,1]=>1010011=>5
[8,4,7,2,1,3,6,5]=>1011001=>5
[2,7,1,6,3,5,8,4]=>0101001=>3
[8,4,2,1,5,3,7,6]=>1110101=>6
[8,2,1,4,7,3,6,5]=>1100101=>6
[1,6,2,5,8,4,7,3]=>0100101=>2
[3,2,1,7,4,5,8,6]=>1101001=>6
[2,6,8,5,1,7,4,3]=>0011011=>1
[2,1,5,8,7,3,6,4]=>1001101=>4
[3,2,1,6,7,4,8,5]=>1100101=>6
[4,3,1,7,8,5,2,6]=>1100110=>6
[5,6,8,2,4,3,7,1]=>0010101=>1
[2,8,5,3,6,4,7,1]=>0110101=>3
[1,2,8,6,4,7,3,5]=>0011010=>2
[5,3,2,7,8,6,4,1]=>1100111=>4
[4,2,7,8,3,5,6,1]=>1001001=>5
[2,8,3,7,1,4,6,5]=>0101001=>3
[2,8,7,1,5,3,6,4]=>0110101=>3
[7,3,5,6,4,2,8,1]=>1001101=>4
[3,8,4,2,7,6,5,1]=>0110111=>1
[4,8,3,2,7,5,6,1]=>0110101=>3
[3,2,4,8,7,5,6,1]=>1001101=>4
[2,6,8,1,5,3,4,7]=>0010100=>3
[3,2,5,6,8,1,4,7]=>1000100=>6
[3,8,1,6,4,5,2,7]=>0101010=>4
[8,1,3,6,5,4,2,7]=>1001110=>4
[7,4,3,6,2,1,8,5]=>1101101=>5
[1,2,4,8,6,3,7,5]=>0001101=>1
[7,2,1,5,3,4,8,6]=>1101001=>6
[5,7,2,3,1,4,8,6]=>0101001=>3
[7,1,5,2,4,6,8,3]=>1010001=>6
[8,4,2,7,3,5,6,1]=>1101001=>6
[1,8,6,4,7,5,3,2]=>0110111=>1
[7,4,1,5,8,6,3,2]=>1100111=>4
[4,5,8,7,3,1,2,6]=>0011100=>3
[1,3,8,7,6,4,2,5]=>0011110=>2
[2,8,5,1,7,4,6,3]=>0110101=>3
[1,8,6,4,7,5,2,3]=>0110110=>3
[2,7,4,6,3,8,5,1]=>0101011=>1
[1,2,8,6,4,7,5,3]=>0011011=>1
[3,4,5,7,8,9,1,2,6]=>00000100=>3
[3,5,6,7,8,9,1,2,4]=>00000100=>3
[3,4,5,6,8,9,10,1,2,7]=>000000100=>3
[3,5,6,7,8,9,10,1,2,4]=>000000100=>3
[3,4,5,6,7,8,1,2,9,10]=>000001000=>4
[3,4,5,6,9,1,2,7,8]=>00001000=>4
[3,4,5,6,1,2,7,8,9]=>00010000=>5
[5,1,6,7,8,9,2,3,4]=>10000100=>7
[4,1,8,6,3,7,5,2]=>1011011=>3
[8,4,3,1,6,2,5,7]=>1110100=>7
[7,5,4,3,8,1,6,2]=>1110101=>6
[5,3,1,6,2,8,7,4]=>1101011=>5
[3,5,4,1,7,8,2,6]=>0110010=>4
[6,4,2,1,5,7,3,8]=>1110010=>7
[3,1,5,8,7,2,4,6]=>1001100=>6
[3,2,5,7,8,4,6,1]=>1000101=>5
[5,3,7,4,2,6,8,1]=>1011001=>5
[5,3,7,4,2,6,1,8]=>1011010=>6
[5,3,8,4,2,1,6,7]=>1011100=>5
[5,2,8,4,3,1,6,7]=>1011100=>5
[5,1,8,4,3,2,6,7]=>1011100=>5
[5,2,7,4,3,6,1,8]=>1011010=>6
[5,2,7,4,3,6,8,1]=>1011001=>5
[5,3,7,4,1,6,8,2]=>1011001=>5
[3,1,5,7,8,4,6,2]=>1000101=>5
[3,1,5,7,8,4,2,6]=>1000110=>5
[5,2,7,4,1,3,8,6]=>1011001=>5
[6,2,3,7,4,8,5,1]=>1001011=>4
[6,2,3,7,4,8,1,5]=>1001010=>5
[6,2,3,7,4,5,1,8]=>1001010=>5
[6,1,3,7,4,5,8,2]=>1001001=>5
[1,2,8,6,4,3,5,7]=>0011100=>3
[6,1,3,7,4,5,2,8]=>1001010=>5
[1,8,6,3,5,4,2,7]=>0110110=>3
[2,6,1,8,5,3,4,7]=>0101100=>3
[4,5,7,8,1,6,3,2]=>0001011=>1
[2,5,7,8,4,6,3,1]=>0001011=>1
[1,8,2,7,5,3,4,6]=>0101100=>3
[2,5,4,1,8,6,7,3]=>0110101=>3
[7,3,5,1,4,8,6,2]=>1010011=>5
[7,1,3,2,4,5,6,8]=>1010000=>7
[3,8,7,1,4,2,5,6]=>0110100=>4
[5,1,7,8,2,4,3,6]=>1001010=>5
[8,5,4,6,1,7,3,2]=>1101011=>5
[5,3,2,1,4,6,8,7]=>1110001=>6
[5,3,2,4,8,1,6,7]=>1100100=>7
[5,3,2,4,7,1,8,6]=>1100101=>6
[4,8,1,7,3,5,6,2]=>0101001=>3
[5,3,2,4,6,8,1,7]=>1100010=>7
[1,2,4,3,5,7,8,9,6]=>00100001=>3
[2,7,6,3,1,4,8,5]=>0111001=>3
[3,7,4,5,6,8,2,1]=>0100011=>3
[8,7,1,4,2,5,3,6]=>1101010=>7
[4,6,8,3,7,1,5,2]=>0010101=>1
[4,7,3,5,8,1,6,2]=>0100101=>2
[8,4,3,5,7,1,6,2]=>1100101=>6
[1,7,6,4,2,5,3,8]=>0111010=>3
[7,6,4,2,8,3,1,5]=>1110110=>7
[8,5,2,4,3,7,1,6]=>1101010=>7
[8,5,1,4,3,7,6,2]=>1101011=>5
[7,5,4,1,3,6,8,2]=>1110001=>6
[3,6,7,2,5,1,8,4]=>0010101=>1
[2,6,5,7,1,4,8,3]=>0101001=>3
[3,5,1,7,8,4,6,2]=>0100101=>2
[1,5,2,4,6,8,7,3]=>0100011=>3
[8,1,2,4,7,6,5,3]=>1000111=>4
[3,4,1,8,6,7,5,2]=>0101011=>1
[4,3,8,5,1,7,6,2]=>1011011=>3
[6,1,3,2,8,5,7,4]=>1010101=>4
[3,1,2,4,5,6,7,9,8]=>10000001=>7
[8,5,3,2,4,7,1,6]=>1110010=>7
[6,7,4,2,5,8,3,1]=>0110011=>2
[8,5,4,2,6,3,1,7]=>1110110=>7
[8,5,2,1,6,4,3,7]=>1110110=>7
[8,4,6,5,1,3,2,7]=>1011010=>6
[1,3,8,4,7,5,2,6]=>0010110=>2
[5,3,7,1,4,6,8,2]=>1010001=>6
[5,7,2,6,1,4,8,3]=>0101001=>3
[3,8,5,7,6,1,2,4]=>0101100=>3
[8,4,7,5,2,1,3,6]=>1011100=>5
[3,8,6,4,7,2,1,5]=>0110110=>3
[5,2,7,4,6,8,3,1]=>1010011=>5
[4,8,6,3,7,2,1,5]=>0110110=>3
[2,8,3,1,7,6,4,5]=>0110110=>3
[2,5,6,4,8,1,7,3]=>0010101=>1
[5,7,2,1,6,8,3,4]=>0110010=>4
[4,7,8,5,1,6,2,3]=>0011010=>2
[4,5,2,1,6,7,8,3]=>0110001=>4
[4,5,6,3,1,7,8,2]=>0011001=>2
[3,5,6,7,4,1,8,2]=>0001101=>1
[3,5,1,4,2,8,7,6]=>0101011=>1
[3,5,1,4,2,6,8,7]=>0101001=>3
[3,5,1,4,2,6,7,8]=>0101000=>5
[1,3,8,4,6,2,5,7]=>0010100=>3
[1,8,4,2,3,7,5,6]=>0110010=>4
[1,4,8,3,2,7,6,5]=>0011011=>1
[1,3,7,6,5,2,4,8]=>0011100=>3
[1,2,8,6,7,5,4,3]=>0010111=>1
[1,7,5,4,3,2,6,8]=>0111100=>3
[8,9,10,1,5,6,7,3,4,2]=>001000101=>2
[8,9,10,5,6,7,1,3,4,2]=>001001001=>3
[8,9,10,1,5,6,3,4,7,2]=>001001001=>3
[8,9,10,5,6,1,3,4,7,2]=>001010001=>3
[8,9,10,5,6,3,4,7,1,2]=>001010010=>3
[8,9,5,6,10,1,3,4,7,2]=>010010001=>5
[8,9,5,6,10,3,4,7,1,2]=>010010010=>6
[8,9,10,1,5,6,7,3,2,4]=>001000110=>3
[8,9,10,5,6,7,1,3,2,4]=>001001010=>2
[8,9,10,1,5,6,3,7,2,4]=>001001010=>2
[8,9,10,5,6,1,3,7,2,4]=>001010010=>3
[8,9,10,5,6,3,7,1,2,4]=>001010100=>3
[8,9,5,6,10,1,3,7,2,4]=>010010010=>6
[8,9,5,6,10,3,7,1,2,4]=>010010100=>5
[8,9,10,1,5,6,3,2,4,7]=>001001100=>3
[8,9,10,5,6,1,3,2,4,7]=>001010100=>3
[8,9,10,5,6,3,1,2,4,7]=>001011000=>4
[8,9,10,5,6,3,2,4,7,1]=>001011001=>2
[8,9,5,6,10,1,3,2,4,7]=>010010100=>5
[8,9,5,6,10,3,1,2,4,7]=>010011000=>5
[8,9,5,6,10,3,2,4,7,1]=>010011001=>3
[8,9,10,1,5,3,6,7,2,4]=>001010010=>3
[8,9,10,5,1,3,6,7,2,4]=>001100010=>4
[8,9,10,5,3,6,7,1,2,4]=>001100100=>4
[8,9,5,10,1,3,6,7,2,4]=>010100010=>6
[8,9,5,10,3,6,7,1,2,4]=>010100100=>6
[8,9,10,1,5,3,6,2,4,7]=>001010100=>3
[8,9,10,5,1,3,6,2,4,7]=>001100100=>4
[8,9,10,5,3,6,1,2,4,7]=>001101000=>4
[8,9,10,5,3,6,2,4,7,1]=>001101001=>2
[8,9,5,10,1,3,6,2,4,7]=>010100100=>6
[8,9,5,10,3,6,1,2,4,7]=>010101000=>6
[8,9,5,10,3,6,2,4,7,1]=>010101001=>4
[8,9,5,3,6,10,1,2,4,7]=>011001000=>6
[8,9,5,3,6,10,2,4,7,1]=>011001001=>5
[8,5,9,10,1,3,6,7,2,4]=>100100010=>8
[8,5,9,10,3,6,7,1,2,4]=>100100100=>9
[8,5,9,10,1,3,6,2,4,7]=>100100100=>9
[8,5,9,10,3,6,1,2,4,7]=>100101000=>8
[8,5,9,10,3,6,2,4,7,1]=>100101001=>6
[3,8,5,7,4,6,2,1]=>0101011=>1
[7,6,3,2,5,1,8,4]=>1110101=>6
[4,2,5,7,8,6,3,1]=>1000111=>4
[6,7,2,4,5,1,8,3]=>0100101=>2
[5,2,7,8,3,6,1,4]=>1001010=>5
[2,4,7,8,1,3,6,5]=>0001001=>1
[8,5,1,2,3,7,4,6]=>1100010=>7
[5,2,8,3,1,4,7,6]=>1011001=>5
[8,7,2,5,1,4,3,6]=>1101010=>7
[8,4,1,3,2,7,6,5]=>1101011=>5
[8,3,5,1,2,4,7,6]=>1010001=>6
[8,6,5,1,7,4,2,3]=>1110110=>7
[8,7,4,5,1,2,6,3]=>1101001=>6
[3,8,6,2,7,1,5,4]=>0110101=>3
[3,4,8,2,1,7,6,5]=>0011011=>1
[3,8,4,2,1,7,6,5]=>0111011=>2
[8,3,1,7,5,6,2,4]=>1101010=>7
[8,4,1,7,5,2,6,3]=>1101101=>5
[8,4,2,7,5,3,1,6]=>1101110=>6
[8,4,3,7,5,1,2,6]=>1101100=>7
[8,5,7,6,4,3,1,2]=>1011110=>4
[8,4,7,6,5,2,1,3]=>1011110=>4
[8,3,1,4,7,6,2,5]=>1100110=>6
[8,3,5,7,6,2,4,1]=>1001101=>4
[1,4,6,8,2,5,7,3]=>0001001=>1
[3,6,2,4,8,1,7,5]=>0100101=>2
[7,3,8,2,4,6,1,5]=>1010010=>6
[1,5,2,6,8,3,7,4]=>0100101=>2
[4,5,3,1,8,2,6,7]=>0110100=>4
[7,2,8,4,1,3,5,6]=>1011000=>6
[6,1,7,3,2,8,4,5]=>1011010=>6
[6,2,1,7,3,8,4,5]=>1101010=>7
[5,8,2,1,3,4,6,7]=>0110000=>5
[4,2,5,1,8,3,6,7]=>1010100=>7
[7,4,2,8,3,1,5,6]=>1101100=>7
[7,4,2,8,3,5,1,6]=>1101010=>7
[6,7,8,5,2,1,4,3]=>0011101=>1
[1,6,2,7,8,4,3,5]=>0100110=>3
[10,1,9,5,6,7,8,2,3,4]=>101000100=>9
[9,1,10,8,6,7,2,3,4,5]=>101101000=>8
[8,1,9,10,7,2,3,4,5,6]=>100110000=>8
[10,1,8,9,2,3,4,5,6,7]=>100100000=>9
[3,1,10,9,6,7,8,2,4,5]=>101100100=>8
[3,1,9,10,8,7,2,4,5,6]=>100111000=>7
[3,1,8,9,10,2,4,5,6,7]=>100010000=>9
[7,3,4,1,8,6,2,5]=>1010110=>5
[4,7,6,3,5,8,2,1]=>0110011=>2
[3,7,6,5,2,4,8,1]=>0111001=>3
[1,4,7,8,6,2,5,3]=>0001101=>1
[1,6,7,8,3,2,5,4]=>0001101=>1
[1,3,2,7,8,4,6,5]=>0100101=>2
[6,8,2,3,5,7,4,1]=>0100011=>3
[5,7,1,4,6,2,8,3]=>0100101=>2
[6,3,1,4,7,8,2,5]=>1100010=>7
[9,8,7,6,5,1,3,4,2]=>11111001=>7
[9,8,7,6,1,4,5,3,2]=>11110011=>6
[8,7,1,5,4,6,3,2]=>1101011=>5
[9,8,7,1,5,6,4,3,2]=>11100111=>5
[9,8,1,6,7,5,4,3,2]=>11001111=>4
[9,1,7,8,6,5,4,3,2]=>10011111=>3
[4,5,7,1,8,6,2,3]=>0010110=>2
[4,3,8,6,5,2,7,1]=>1011101=>4
[2,3,8,6,5,1,7,4]=>0011101=>1
[5,4,7,3,1,2,6,8]=>1011000=>6
[7,6,2,1,5,4,3,8]=>1110110=>7
[3,1,2,6,5,7,8,4]=>1001001=>5
[7,3,2,6,1,4,8,5]=>1101001=>6
[3,2,5,6,8,4,1,7]=>1000110=>5
[7,2,6,8,5,4,3,1]=>1001111=>3
[3,7,5,6,2,4,1,8]=>0101010=>4
[3,2,4,1,6,5,8,7,9]=>10101010=>8
[4,2,5,1,6,3,8,7,9]=>10101010=>8
[4,2,6,1,7,3,8,5,9]=>10101010=>8
[4,2,6,1,8,3,9,5,7]=>10101010=>8
[4,2,6,1,7,3,5,9,8]=>10101001=>7
[4,2,5,1,3,7,6,9,8]=>10100101=>6
[3,2,5,4,6,1,8,7,9]=>10101010=>8
[4,2,5,1,6,3,8,7,10,9]=>101010101=>5
[4,2,5,1,7,6,8,3,9]=>10101010=>8
[4,2,6,1,7,3,8,5,10,9]=>101010101=>5
[4,2,6,1,7,3,9,8,5]=>10101011=>4
[4,2,6,1,8,3,9,5,10,7]=>101010101=>5
[4,2,5,1,3,6,8,7]=>1010001=>6
[4,2,6,1,7,3,5,8,9]=>10101000=>8
[4,2,6,1,8,3,9,5,7,10]=>101010100=>9
[4,2,5,1,3,8,9,6,7]=>10100010=>7
[4,2,6,1,7,3,5,9,8,10]=>101010010=>8
[3,2,1,6,7,4,5,9,8]=>11001001=>7
[4,2,5,1,3,7,6,9,8,10]=>101001010=>7
[1,4,5,2,3,7,6,9,8]=>00100101=>1
[5,3,4,2,7,1,8,6]=>1010101=>4
[5,6,8,2,1,3,4,7]=>0011000=>4
[6,5,2,1,3,8,4,7]=>1110010=>7
[2,4,3,5,6,8,1,7]=>0100010=>4
[6,3,2,4,8,5,1,7]=>1100110=>6
[6,3,1,2,7,8,4,5]=>1100010=>7
[8,4,7,1,2,5,3,6]=>1010010=>6
[7,4,6,1,8,5,2,3]=>1010110=>5
[8,5,6,7,2,1,4,3]=>1001101=>4
[2,5,6,3,8,4,7,1]=>0010101=>1
[6,8,4,2,3,1,7,5]=>0110101=>3
[1,7,6,2,8,3,5,4]=>0110101=>3
[7,1,5,6,3,2,8,4]=>1001101=>4
[4,1,3,8,5,2,7,6]=>1001101=>4
[1,8,5,4,7,2,3,6]=>0110100=>4
[8,2,5,6,4,3,1,7]=>1001110=>4
[2,4,3,8,6,5,1,7]=>0101110=>2
[3,1,4,5,8,6,2,7]=>1000110=>5
[1,8,3,2,5,4,6,7]=>0110100=>4
[5,1,7,3,2,8,4,6]=>1011010=>6
[5,7,8,1,3,2,4,6]=>0010100=>3
[8,2,4,1,6,7,3,5]=>1010010=>6
[8,7,3,6,2,4,1,5]=>1101010=>7
[1,7,4,8,3,6,2,5]=>0101010=>4
[7,8,6,1,3,5,4,2]=>0110011=>2
[1,7,5,8,4,3,2,6]=>0101110=>2
[6,3,1,2,7,8,5,4]=>1100011=>5
[8,2,7,5,3,4,1,6]=>1011010=>6
[6,3,1,2,8,7,5,4]=>1100111=>4
[8,4,7,2,6,3,1,5]=>1010110=>5
[7,6,3,4,2,1,8,5]=>1101101=>5
[8,4,6,2,3,7,1,5]=>1010010=>6
[3,4,5,8,1,7,2,6]=>0001010=>2
[6,3,4,2,7,8,1,5]=>1010010=>6
[5,6,3,7,8,2,1,4]=>0100110=>3
[8,6,3,4,7,2,1,5]=>1100110=>6
[4,3,8,6,7,5,1,2]=>1010110=>5
[4,5,6,2,7,8,3,1]=>0010011=>1
[4,5,6,2,7,1,8,3]=>0010101=>1
[4,5,6,2,1,7,8,3]=>0011001=>2
[4,5,6,2,1,7,3,8]=>0011010=>2
[6,8,7,2,3,1,4,5]=>0110100=>4
[4,5,1,6,7,3,2,8]=>0100110=>3
[2,5,1,8,3,7,4,6]=>0101010=>4
[5,7,2,1,3,8,4,6]=>0110010=>4
[3,7,5,4,1,6,8,2]=>0111001=>3
[7,1,5,4,2,6,3,8]=>1011010=>6
[8,5,6,3,7,2,1,4]=>1010110=>5
[7,6,5,4,3,1,2,9,8]=>11111001=>7
[9,8,7,6,5,4,3,2,1,11,10]=>1111111101=>9
[8,7,6,5,4,3,1,2,10,9]=>111111001=>8
[7,6,5,4,2,1,3,9,8]=>11111001=>7
[7,6,5,4,1,3,2,9,8]=>11110101=>7
[9,8,7,6,5,3,2,4,1]=>11111101=>7
[9,8,7,6,5,2,4,3,1]=>11111011=>6
[10,9,8,7,6,5,4,2,3,1]=>111111101=>8
[2,7,4,5,6,8,1,3]=>0100010=>4
[2,3,4,6,8,1,7,5]=>0000101=>1
[2,3,4,8,6,7,9,5,1]=>00010011=>1
[2,3,8,5,6,7,9,1,4]=>00100010=>4
[2,8,4,5,6,7,9,3,1]=>01000011=>4
[8,3,4,5,6,7,9,2,1]=>10000011=>6
[2,3,4,5,7,9,1,8,6]=>00000101=>1
[2,3,4,6,7,1,9,5,8]=>00001010=>2
[2,3,4,5,9,7,8,10,6,1]=>000010011=>1
[2,3,5,8,1,6,7,4]=>0001001=>1
[2,3,5,6,1,7,9,4,8]=>00010010=>2
[2,3,4,9,6,7,8,10,1,5]=>000100010=>3
[2,4,5,1,6,7,9,8,3]=>00100011=>2
[2,3,9,5,6,7,8,10,4,1]=>001000011=>3
[2,4,7,5,6,8,1,3]=>0010010=>3
[3,4,1,5,6,7,9,2,8]=>01000010=>5
[2,9,4,5,6,7,8,10,3,1]=>010000011=>5
[3,2,4,5,6,7,9,1,8]=>10000010=>7
[9,3,4,5,6,7,8,10,1,2]=>100000010=>8
[2,3,4,5,6,8,10,1,9,7]=>000000101=>1
[2,3,4,7,6,9,8,5,1]=>00010111=>1
[2,3,4,5,7,8,1,10,6,9]=>000001010=>2
[2,3,4,6,9,1,7,8,5]=>00001001=>1
[2,3,4,6,7,1,8,10,5,9]=>000010010=>2
[7,3,4,6,2,8,1,5]=>1001010=>5
[2,5,4,6,8,7,9,1,3]=>01001010=>4
[2,3,5,7,1,6,9,4,8]=>00010010=>2
[2,3,5,6,1,7,8,10,9,4]=>000100011=>1
[4,7,6,5,2,8,3,1]=>0111011=>2
[4,3,5,8,6,7,9,2,1]=>10010011=>5
[2,5,4,8,6,7,3,1]=>0101011=>1
[2,4,6,1,5,7,9,3,8]=>00100010=>4
[2,4,5,1,6,7,8,10,3,9]=>001000010=>4
[7,5,4,1,6,8,2,3]=>1110010=>7
[2,4,8,5,6,7,9,1,3]=>00100010=>4
[3,5,1,4,6,7,9,8,2]=>01000011=>4
[3,4,1,5,6,7,8,10,2,9]=>010000010=>6
[4,2,3,5,6,7,9,1,8]=>10000010=>7
[3,2,4,5,6,7,8,10,9,1]=>100000011=>7
[8,5,2,1,7,6,3,4]=>1110110=>7
[2,7,3,6,4,1,8,5]=>0101101=>2
[7,2,1,8,5,6,4,3]=>1101011=>5
[3,6,5,1,4,8,2,7]=>0110010=>4
[6,3,5,4,8,1,2,7]=>1010100=>7
[2,5,1,4,6,3,8,7]=>0100101=>2
[3,1,5,6,4,2,8,7]=>1001101=>4
[8,5,6,4,3,1,7,2]=>1011101=>4
[8,3,5,6,7,1,2,4]=>1000100=>6
[2,1,4,7,3,6,8,5]=>1001001=>5
[5,3,7,6,4,8,2,1]=>1011011=>3
[3,7,6,4,2,8,1,5]=>0111010=>3
[8,6,1,4,3,7,2,5]=>1101010=>7
[8,4,7,5,1,6,3,2]=>1011011=>3
[2,1,5,3,7,8,6,4]=>1010011=>5
[5,1,4,7,6,8,2,3]=>1001010=>5
[8,4,1,3,7,6,5,2]=>1100111=>4
[8,3,4,1,6,7,5,2]=>1010011=>5
[8,1,4,2,6,5,7,3]=>1010101=>4
[8,6,4,3,7,2,1,5]=>1110110=>7
[5,8,1,4,3,2,6,7]=>0101100=>3
[5,6,4,3,8,2,7,1]=>0110101=>3
[1,6,4,3,8,2,7,5]=>0110101=>3
[6,7,4,1,3,2,5,8]=>0110100=>4
[7,8,1,4,3,2,5,6]=>0101100=>3
[7,1,8,4,5,3,6,2]=>1010101=>4
[4,3,1,8,6,5,7,2]=>1101101=>5
[4,3,2,7,5,1,8,6]=>1101101=>5
[5,2,3,7,4,1,8,6]=>1001101=>4
[2,1,7,4,3,6,8,5]=>1011001=>5
[7,1,2,4,5,6,8,3]=>1000001=>6
[2,8,7,1,4,5,6,3]=>0110001=>4
[8,7,1,3,4,5,6,2]=>1100001=>6
[5,8,3,1,4,6,7,2]=>0110001=>4
[1,7,2,5,4,6,8,3]=>0101001=>3
[2,5,3,8,1,6,7,4]=>0101001=>3
[1,6,4,2,5,7,8,3]=>0110001=>4
[6,5,3,4,1,7,8,2]=>1101001=>6
[5,6,3,4,1,7,8,2]=>0101001=>3
[2,5,3,1,4,7,8,6]=>0110001=>4
[6,8,2,3,1,5,7,4]=>0101001=>3
[4,3,1,5,2,7,8,6]=>1101001=>6
[5,2,3,1,4,7,8,6]=>1010001=>6
[7,2,1,3,5,6,8,4]=>1100001=>6
[5,2,4,7,8,6,3,1]=>1000111=>4
[5,4,8,7,2,3,1,6]=>1011010=>6
[8,1,4,5,3,6,2,7]=>1001010=>5
[8,3,5,1,4,6,2,7]=>1010010=>6
[5,8,2,1,7,4,3,6]=>0110110=>3
[6,5,7,2,1,8,4,3]=>1011011=>3
[1,5,4,7,3,8,6,2]=>0101011=>1
[7,4,1,3,8,5,6,2]=>1100101=>6
[3,6,8,4,1,7,2,5]=>0011010=>2
[2,1,8,4,7,6,3,5]=>1010110=>5
[2,7,5,6,8,4,3,1]=>0100111=>2
[3,5,2,4,7,8,6,1]=>0100011=>3
[7,5,6,3,8,2,1,4]=>1010110=>5
[1,6,2,7,4,5,8,3]=>0101001=>3
[7,4,2,6,1,5,8,3]=>1101001=>6
[8,4,1,6,2,5,7,3]=>1101001=>6
[7,3,4,5,1,6,8,2]=>1001001=>5
[1,4,2,6,3,7,5,9,8]=>01010101=>4
[1,3,2,6,4,7,5,9,8]=>01010101=>4
[2,1,6,3,7,4,8,5,9]=>10101010=>8
[8,4,2,7,6,1,5,3]=>1101101=>5
[8,4,7,1,2,6,5,3]=>1010011=>5
[8,4,7,6,1,2,5,3]=>1011001=>5
[8,7,6,2,1,5,3,4]=>1111010=>7
[5,7,8,1,6,2,4,3]=>0010101=>1
[7,9,6,8,4,5,2,3,1]=>01010101=>4
[7,9,5,8,4,6,2,3,1]=>01010101=>4
[7,9,5,8,3,6,2,4,1]=>01010101=>4
[6,8,4,7,5,2,1,3]=>0101110=>2
[7,9,5,8,3,6,4,1,2]=>01010110=>2
[7,9,5,8,6,3,4,1,2]=>01011010=>3
[7,9,8,5,6,3,4,1,2]=>01101010=>4
[6,9,5,8,4,7,2,3,1]=>01010101=>4
[7,9,4,8,3,6,2,5,1]=>01010101=>4
[7,9,5,8,2,6,1,4,3]=>01010101=>4
[6,8,2,7,1,5,4,3]=>0101011=>1
[7,9,5,8,3,6,4,2,1]=>01010111=>1
[8,10,6,9,4,7,2,5,3,1]=>010101011=>1
[6,8,7,4,2,5,1,3]=>0111010=>3
[7,9,5,8,6,3,1,4,2]=>01011101=>2
[8,10,6,9,4,7,5,2,3,1]=>010101101=>2
[7,9,8,5,3,6,4,1,2]=>01110110=>3
[8,10,6,9,7,4,5,2,3,1]=>010110101=>3
[9,7,5,8,6,3,4,1,2]=>11011010=>8
[8,10,9,6,7,4,5,2,3,1]=>011010101=>4
[6,8,4,5,7,2,1,3]=>0100110=>3
[6,8,4,2,5,1,3,7]=>0110100=>4
[6,5,4,3,2,7,1,8,9]=>11110100=>8
[5,4,3,2,6,1,7,8,9]=>11101000=>8
[4,3,2,5,1,6,7,8,9]=>11010000=>8
[3,2,4,1,5,6,7,8,9]=>10100000=>8
[2,5,3,7,6,4,8,1]=>0101101=>2
[3,1,5,7,6,4,2,8]=>1001110=>4
[3,1,6,5,4,7,2,8]=>1011010=>6
[2,5,6,8,3,4,7,1]=>0001001=>1
[4,1,3,6,5,2,7,8]=>1001100=>6
[3,6,2,4,5,7,1,8]=>0100010=>4
[3,6,2,5,4,7,1,8]=>0101010=>4
[3,5,1,7,6,4,2,8]=>0101110=>2
[3,6,1,4,5,7,2,8]=>0100010=>4
[4,3,1,6,5,2,7,8]=>1101100=>7
[4,1,2,6,5,3,7,8]=>1001100=>6
[4,6,1,3,5,2,7,8]=>0100100=>5
[3,6,4,2,5,7,1,8]=>0110010=>4
[4,2,6,3,5,1,7,8]=>1010100=>7
[3,4,7,6,5,1,2,8]=>0011100=>3
[4,5,2,7,1,3,6,8]=>0101000=>5
[4,6,1,2,5,3,7,8]=>0100100=>5
[2,6,5,1,4,8,7,3]=>0110011=>2
[5,8,4,7,1,3,6,2]=>0101001=>3
[6,4,7,1,3,5,2,8]=>1010010=>6
[6,8,1,3,5,7,4,2]=>0100011=>3
[5,8,3,2,7,4,6,1]=>0110101=>3
[6,8,3,1,5,4,7,2]=>0110101=>3
[6,8,1,2,5,3,7,4]=>0100101=>2
[5,2,8,3,4,6,7,1]=>1010001=>6
[5,2,7,1,6,4,8,3]=>1010101=>4
[4,5,2,6,1,3,7,8]=>0101000=>5
[4,3,5,8,6,1,7,2]=>1001101=>4
[5,1,3,6,7,4,2,8]=>1000110=>5
[4,2,8,3,6,7,5,1]=>1010011=>5
[3,1,7,8,5,6,2,4]=>1001010=>5
[6,2,1,7,5,3,4,8]=>1101100=>7
[3,7,1,8,5,2,4,6]=>0101100=>3
[4,2,8,6,7,1,3,5]=>1010100=>7
[6,1,2,4,7,3,5,8]=>1000100=>6
[5,3,1,6,4,7,2,8]=>1101010=>7
[1,2,4,5,8,7,3,6]=>0000110=>2
[1,3,4,7,5,8,6,2]=>0001011=>1
[1,5,2,3,7,8,6,4]=>0100011=>3
[4,2,8,1,6,5,7,3]=>1010101=>4
[1,3,5,2,7,4,6,9,8]=>00101001=>2
[1,2,4,3,6,5,8,7,9]=>00101010=>2
[1,3,5,7,2,4,6,9,8]=>00010001=>2
[1,3,5,7,2,4,6,9,8,10]=>000100010=>3
[1,3,5,7,2,9,4,6,8]=>00010100=>3
[5,6,1,4,8,3,2,7]=>0100110=>3
[3,6,4,1,7,2,8,5]=>0110101=>3
[5,6,2,1,3,7,4,8,9]=>01100100=>5
[3,2,5,1,6,4,7,8,9]=>10101000=>8
[6,7,2,1,8,3,4,9,5]=>01101001=>4
[3,6,4,1,7,2,8,5,9]=>01101010=>4
[3,6,7,2,1,4,8,5,9]=>00110010=>3
[4,2,6,1,7,5,3,8,9]=>10101100=>6
[4,3,2,6,1,7,5,8,9]=>11010100=>8
[4,7,2,5,1,8,3,9,6]=>01010101=>4
[4,3,7,8,2,1,5,9,6]=>10011001=>6
[3,5,2,7,1,8,6,4,9]=>01010110=>2
[5,4,3,2,7,1,8,6,9]=>11101010=>8
[6,4,2,8,1,9,7,5,3]=>11010111=>5
[4,3,6,2,8,1,9,7,5]=>10101011=>4
[6,5,4,3,2,8,1,9,7]=>11110101=>7
[2,4,1,5,3,6,7,8,9,10]=>010100000=>7
[5,6,2,1,3,7,4,8,9,10]=>011001000=>6
[3,2,5,1,6,4,7,8,9,10]=>101010000=>9
[6,7,2,1,8,3,4,9,5,10]=>011010010=>5
[3,6,4,1,7,2,8,5,9,10]=>011010100=>5
[3,6,7,2,1,4,8,5,9,10]=>001100100=>4
[4,2,6,1,7,5,3,8,9,10]=>101011000=>7
[4,3,2,6,1,7,5,8,9,10]=>110101000=>9
[3,4,7,1,8,2,9,5,10,6]=>001010101=>1
[7,8,9,3,2,1,4,5,10,6]=>001110001=>3
[4,7,2,5,1,8,3,9,6,10]=>010101010=>5
[4,3,7,8,2,1,5,9,6,10]=>100110010=>7
[3,5,2,7,1,8,6,4,9,10]=>010101100=>3
[5,4,3,2,7,1,8,6,9,10]=>111010100=>9
[5,8,9,2,1,6,3,10,7,4]=>001101011=>1
[5,3,8,6,4,1,9,2,10,7]=>101110101=>6
[3,5,8,2,6,1,9,4,10,7]=>001010101=>1
[5,4,3,8,9,2,1,6,10,7]=>110011001=>7
[6,4,2,8,1,9,7,5,3,10]=>110101110=>7
[4,3,6,2,8,1,9,7,5,10]=>101010110=>6
[6,5,4,3,2,8,1,9,7,10]=>111101010=>9
[5,3,7,2,9,1,10,8,6,4]=>101010111=>4
[5,4,3,7,2,9,1,10,8,6]=>110101011=>7
[7,6,5,4,3,2,9,1,10,8]=>111110101=>8
[5,2,6,3,7,8,4,1]=>1010011=>5
[2,4,1,3,7,8,6,5]=>0100011=>3
[2,6,1,5,7,8,4,3]=>0100011=>3
[5,1,6,4,7,8,2,3]=>1010010=>6
[8,4,6,3,7,5,1,2]=>1010110=>5
[4,7,6,8,2,3,5,1]=>0101001=>3
[5,7,4,8,1,2,6,3]=>0101001=>3
[3,6,7,5,8,1,4,2]=>0010101=>1
[3,7,5,6,8,2,4,1]=>0100101=>2
[2,7,1,6,8,4,5,3]=>0100101=>2
[1,5,4,7,2,6,3,8]=>0101010=>4
[2,4,5,8,3,1,7,6]=>0001101=>1
[1,4,7,5,8,3,6,2]=>0010101=>1
[2,6,8,7,3,5,1,4]=>0011010=>2
[4,7,8,6,2,5,1,3]=>0011010=>2
[4,8,7,3,5,6,2,1]=>0110011=>2
[1,7,6,3,5,4,2,8]=>0110110=>3
[4,3,8,1,6,5,7,2]=>1010101=>4
[1,3,6,2,5,8,7,4]=>0010011=>1
[5,8,7,1,4,6,3,2]=>0110011=>2
[6,2,5,1,3,4,8,7]=>1010001=>6
[2,6,5,1,3,4,8,7]=>0110001=>4
[4,6,5,1,2,7,3,8]=>0110010=>4
[5,6,4,1,2,7,3,8]=>0110010=>4
[8,1,5,6,2,4,3,7]=>1001010=>5
[6,4,5,1,2,7,3,8]=>1010010=>6
[5,4,6,1,3,2,7,8]=>1010100=>7
[5,7,1,4,3,2,6,8]=>0101100=>3
[2,6,4,1,3,7,5,8]=>0110010=>4
[7,8,5,3,2,1,6,4]=>0111101=>2
[1,2,6,7,8,4,5,3]=>0000101=>1
[6,1,4,8,2,7,5,3]=>1001011=>4
[5,2,3,7,1,8,4,6]=>1001010=>5
[7,2,3,1,8,4,6,5]=>1010101=>4
[5,4,1,7,3,2,8,6]=>1101101=>5
[7,3,4,5,1,8,6,2]=>1001011=>4
[1,5,6,7,4,8,2,3]=>0001010=>2
[6,3,2,5,7,4,8,1]=>1100101=>6
[5,7,3,8,1,2,4,6]=>0101000=>5
[4,5,2,7,6,3,1,8]=>0101110=>2
[4,5,2,1,7,6,3,8]=>0110110=>3
[2,6,7,8,3,1,4,5]=>0001100=>3
[6,3,2,5,1,7,8,4]=>1101001=>6
[4,6,3,7,8,2,1,5]=>0100110=>3
[5,6,7,1,8,4,2,3]=>0010110=>2
[1,7,8,4,6,5,2,3]=>0010110=>2
[1,7,3,2,8,6,5,4]=>0110111=>1
[3,7,1,2,8,6,5,4]=>0100111=>2
[2,7,8,1,6,5,3,4]=>0010110=>2
[2,5,8,1,7,6,3,4]=>0010110=>2
[8,1,5,7,3,4,6,2]=>1001001=>5
[5,8,2,7,6,3,1,4]=>0101110=>2
[2,8,4,7,6,3,1,5]=>0101110=>2
[1,8,2,4,7,6,3,5]=>0100110=>3
[4,5,8,7,1,6,2,3]=>0011010=>2
[1,8,2,4,6,7,5,3]=>0100011=>3
[3,4,2,8,1,7,6,5]=>0101011=>1
[2,4,5,8,1,7,6,3]=>0001011=>1
[3,1,8,2,6,7,5,4]=>1010011=>5
[2,6,8,1,4,3,7,5]=>0010101=>1
[4,1,8,2,6,7,3,5]=>1010010=>6
[1,6,5,2,8,7,3,4]=>0110110=>3
[8,1,7,3,5,2,4,6]=>1010100=>7
[8,1,3,2,7,6,4,5]=>1010110=>5
[7,3,4,8,6,2,5,1]=>1001101=>4
[7,5,8,1,6,2,3,4]=>1010100=>7
[6,8,4,5,3,1,7,2]=>0101101=>2
[6,7,5,3,2,8,4,1]=>0111011=>2
[6,2,5,3,8,1,4,7]=>1010100=>7
[7,6,1,3,5,2,4,8]=>1100100=>7
[6,2,4,5,3,8,1,7]=>1001010=>5
[6,1,5,4,7,2,3,8]=>1010100=>7
[6,8,5,4,7,1,3,2]=>0110101=>3
[1,6,8,4,2,5,7,3]=>0011001=>2
[7,5,8,1,3,4,2,6]=>1010010=>6
[1,4,2,8,3,5,7,6]=>0101001=>3
[1,3,5,4,8,7,2,6]=>0010110=>2
[1,6,2,4,8,3,7,5]=>0100101=>2
[1,7,8,5,4,2,6,3]=>0011101=>1
[1,5,2,8,6,4,7,3]=>0101101=>2
[1,6,5,2,7,4,8,3]=>0110101=>3
[5,1,6,7,4,2,8,3]=>1001101=>4
[6,8,1,5,2,3,7,4]=>0101001=>3
[1,5,4,2,8,6,7,3]=>0110101=>3
[1,8,5,4,6,2,7,3]=>0110101=>3
[1,7,5,4,6,2,8,3]=>0110101=>3
[5,8,4,1,6,2,7,3]=>0110101=>3
[4,8,1,3,7,6,2,5]=>0100110=>3
[4,5,3,1,2,8,7,6]=>0110011=>2
[6,4,2,3,1,8,7,5]=>1101011=>5
[6,5,2,1,3,8,7,4]=>1110011=>5
[7,6,1,8,2,5,3,4]=>1101010=>7
[8,4,2,3,7,6,1,5]=>1100110=>6
[5,7,8,1,2,4,3,6]=>0010010=>3
[1,7,6,8,3,5,4,2]=>0101011=>1
[5,7,6,4,2,1,3,8]=>0111100=>3
[6,5,7,4,1,3,2,8]=>1011010=>6
[4,6,1,8,3,5,2,7]=>0101010=>4
[7,1,6,8,2,5,4,3]=>1001011=>4
[4,7,1,8,3,2,5,6]=>0101100=>3
[4,8,3,6,1,5,2,7]=>0101010=>4
[1,7,8,6,4,5,3,2]=>0011011=>1
[3,2,8,6,4,5,1,7]=>1011010=>6
[8,4,3,6,2,5,1,7]=>1101010=>7
[1,6,8,7,4,3,5,2]=>0011101=>1
[3,1,2,6,8,7,5,4]=>1000111=>4
[5,7,4,2,1,8,6,3]=>0111011=>2
[8,6,5,7,2,4,3,1]=>1101011=>5
[7,4,6,1,8,5,3,2]=>1010111=>3
[7,4,6,3,8,1,5,2]=>1010101=>4
[7,4,8,1,6,3,2,5]=>1010110=>5
[7,4,8,3,6,2,1,5]=>1010110=>5
[6,4,8,2,3,5,7,1]=>1010001=>6
[4,6,8,2,5,7,1,3]=>0010010=>3
[6,4,8,2,5,7,1,3]=>1010010=>6
[6,2,4,5,8,3,7,1]=>1000101=>5
[6,8,2,4,7,3,5,1]=>0100101=>2
[8,4,6,2,7,1,3,5]=>1010100=>7
[6,8,4,2,7,1,3,5]=>0110100=>4
[6,8,2,4,1,7,3,5]=>0101010=>4
[7,5,1,6,2,4,8,3]=>1101001=>6
[4,2,5,7,1,6,8,3]=>1001001=>5
[2,4,8,5,6,7,3,1]=>0010011=>1
[4,5,2,3,8,7,1,6]=>0100110=>3
[2,5,4,7,6,1,3,8]=>0101100=>3
[5,2,3,7,6,1,4,8]=>1001100=>6
[4,2,3,7,6,1,5,8]=>1001100=>6
[4,2,7,3,5,1,6,8]=>1010100=>7
[5,6,2,3,8,4,7,1]=>0100101=>2
[5,6,2,3,1,7,8,4]=>0101001=>3
[5,7,2,3,4,1,6,8]=>0100100=>5
[6,2,7,3,5,1,4,8]=>1010100=>7
[7,2,6,3,5,1,4,8]=>1010100=>7
[6,5,2,3,1,7,8,4]=>1101001=>6
[6,5,2,3,8,4,7,1]=>1100101=>6
[7,5,2,1,4,6,8,3]=>1110001=>6
[8,5,2,3,1,6,4,7]=>1101010=>7
[8,6,2,3,1,5,4,7]=>1101010=>7
[8,2,6,3,1,7,4,5]=>1011010=>6
[1,6,3,4,2,7,5,8]=>0101010=>4
[8,5,2,7,3,4,6,1]=>1101001=>6
[1,7,2,4,5,6,8,3]=>0100001=>4
[1,8,3,2,5,6,4,7]=>0110010=>4
[7,2,8,1,4,6,3,5]=>1010010=>6
[2,7,8,1,5,6,3,4]=>0010010=>3
[6,8,2,3,1,5,4,7]=>0101010=>4
[5,8,2,3,1,6,4,7]=>0101010=>4
[5,7,2,1,4,6,8,3]=>0110001=>4
[4,2,7,1,5,6,8,3]=>1010001=>6
[4,2,3,8,1,7,5,6]=>1001010=>5
[4,2,1,5,3,7,6,8]=>1101010=>7
[5,1,3,8,4,6,7,2]=>1001001=>5
[5,1,3,2,6,7,8,4]=>1010001=>6
[5,1,3,4,2,7,6,8]=>1001010=>5
[6,1,3,4,2,7,5,8]=>1001010=>5
[7,2,1,3,5,8,4,6]=>1100010=>7
[6,8,7,2,3,4,5,1]=>0110001=>4
[1,9,8,10,7,6,5,4,3,2]=>010111111=>1
[2,8,7,9,6,5,4,3,1]=>01011111=>1
[3,7,2,8,1,4,5,6]=>0101000=>5
[5,2,3,7,4,6,1,8]=>1001010=>5
[2,5,3,7,4,6,1,8]=>0101010=>4
[2,6,7,3,4,5,1,8]=>0010010=>3
[6,2,7,3,4,5,1,8]=>1010010=>6
[3,8,4,5,2,1,6,7]=>0101100=>3
[2,7,6,3,4,5,1,8]=>0110010=>4
[2,8,7,5,1,3,4,6]=>0111000=>4
[3,1,2,9,4,5,6,7,8]=>10010000=>8
[4,1,2,3,9,5,6,7,8]=>10001000=>8
[5,1,2,3,4,9,6,7,8]=>10000100=>7
[6,1,2,3,4,5,9,7,8]=>10000010=>7
[2,1,10,3,4,5,6,7,8,9]=>101000000=>9
[3,1,2,10,4,5,6,7,8,9]=>100100000=>9
[3,4,1,2,9,5,6,7,8]=>01001000=>6
[4,1,2,3,10,5,6,7,8,9]=>100010000=>9
[4,5,1,2,3,9,6,7,8]=>01000100=>6
[5,1,2,3,4,10,6,7,8,9]=>100001000=>8
[5,6,1,2,3,4,9,7,8]=>01000010=>5
[6,1,2,3,4,5,10,7,8,9]=>100000100=>8
[6,7,1,2,3,4,5,9,8]=>01000001=>5
[7,1,2,3,4,5,6,10,8,9]=>100000010=>8
[4,5,7,2,8,3,6,1]=>0010101=>1
[9,7,5,3,1,8,6,4,2]=>11110111=>5
[9,6,3,8,5,2,7,4,1]=>11011011=>5
[8,5,2,9,6,3,7,4,1]=>11011011=>5
[9,5,1,6,2,7,3,8,4]=>11010101=>7
[9,5,1,8,4,7,3,6,2]=>11010101=>7
[8,4,7,3,6,2,9,5,1]=>10101011=>4
[7,3,8,4,6,2,9,5,1]=>10101011=>4
[9,4,7,2,5,8,3,6,1]=>10100101=>6
[9,4,6,1,8,3,5,7,2]=>10101001=>7
[8,3,5,7,2,9,4,6,1]=>10010101=>5
[7,2,8,3,9,4,5,6,1]=>10101001=>7
[8,3,7,2,9,4,5,6,1]=>10101001=>7
[5,8,3,7,2,9,4,6,1]=>01010101=>4
[4,5,6,9,3,8,2,7,1]=>00010101=>1
[4,5,6,8,2,9,3,7,1]=>00010101=>1
[9,3,6,5,4,7,1,8,2]=>10110101=>5
[8,2,9,3,6,5,4,7,1]=>10101101=>4
[6,5,4,8,2,9,3,7,1]=>11010101=>7
[5,6,4,8,2,9,3,7,1]=>01010101=>4
[9,2,7,4,5,6,3,8,1]=>10100101=>6
[7,4,5,6,3,9,2,8,1]=>10010101=>5
[5,7,4,6,3,9,2,8,1]=>01010101=>4
[10,8,6,4,2,9,7,5,3,1]=>111101111=>5
[10,7,4,1,8,5,2,9,6,3]=>111011011=>7
[9,6,3,8,5,2,10,7,4,1]=>110110111=>5
[9,5,1,7,3,10,6,2,8,4]=>110101101=>7
[10,6,2,7,3,8,4,9,5,1]=>110101011=>7
[7,3,8,4,10,6,2,9,5,1]=>101011011=>4
[8,4,7,3,10,6,2,9,5,1]=>101011011=>4
[10,5,8,3,6,1,9,4,7,2]=>101010101=>5
[9,4,7,2,10,5,8,3,6,1]=>101010101=>5
[10,5,7,2,8,3,9,4,6,1]=>101010101=>5
[8,3,10,5,7,2,9,4,6,1]=>101010101=>5
[8,3,9,4,7,2,10,5,6,1]=>101010101=>5
[9,3,5,7,1,10,4,6,8,2]=>100101001=>6
[10,4,6,8,2,9,3,5,7,1]=>100101001=>6
[10,4,5,6,7,1,8,2,9,3]=>100010101=>6
[8,2,9,3,10,4,5,6,7,1]=>101010001=>8
[9,3,8,2,10,4,5,6,7,1]=>101010001=>8
[5,6,9,3,7,1,10,4,8,2]=>001010101=>1
[5,6,10,4,8,2,9,3,7,1]=>001010101=>1
[5,6,9,3,8,2,10,4,7,1]=>001010101=>1
[6,5,9,3,8,2,10,4,7,1]=>101010101=>5
[9,2,7,6,5,4,10,3,8,1]=>101110101=>6
[10,3,7,6,5,4,8,1,9,2]=>101110101=>6
[9,2,10,3,7,6,5,4,8,1]=>101011101=>4
[7,6,5,4,9,2,10,3,8,1]=>111010101=>8
[6,4,7,5,10,3,9,2,8,1]=>101010101=>5
[6,4,7,5,9,2,10,3,8,1]=>101010101=>5
[7,5,6,4,9,2,10,3,8,1]=>101010101=>5
[6,5,7,4,9,2,10,3,8,1]=>101010101=>5
[5,6,7,3,8,4,9,1,10,2]=>001010101=>1
[5,6,7,3,8,4,10,2,9,1]=>001010101=>1
[5,6,8,4,7,3,10,2,9,1]=>001010101=>1
[6,5,8,4,7,3,10,2,9,1]=>101010101=>5
[5,2,1,3,6,7,8,4]=>1100001=>6
[1,6,5,7,2,8,3,4]=>0101010=>4
[7,5,2,6,1,8,4,3]=>1101011=>5
[6,1,5,2,7,8,4,3]=>1010011=>5
[1,6,5,7,2,8,4,3]=>0101011=>1
[1,5,4,6,2,8,7,3]=>0101011=>1
[1,5,4,6,2,8,3,7]=>0101010=>4
[1,5,6,4,8,2,3,7]=>0010100=>3
[6,2,1,5,8,4,7,3]=>1100101=>6
[7,5,6,8,4,1,3,2]=>1001101=>4
[8,3,7,5,1,4,2,6]=>1011010=>6
[8,1,5,7,3,6,2,4]=>1001010=>5
[8,3,2,6,4,5,1,7]=>1101010=>7
[8,5,3,7,4,1,2,6]=>1101100=>7
[8,5,6,2,7,1,3,4]=>1010100=>7
[8,4,7,2,6,5,1,3]=>1010110=>5
[8,5,7,3,2,6,1,4]=>1011010=>6
[8,1,2,3,6,4,7,5]=>1000101=>5
[7,6,2,3,5,8,1,4]=>1100010=>7
[4,5,3,7,8,1,6,2]=>0100101=>2
[3,4,2,8,1,6,7,5]=>0101001=>3
[8,3,4,1,5,7,6,2]=>1010011=>5
[4,3,7,5,1,6,2,8]=>1011010=>6
[5,2,6,1,4,3,7,8]=>1010100=>7
[5,3,7,4,2,8,6,1]=>1011011=>3
[7,2,5,8,6,1,4,3]=>1001101=>4
[5,3,1,4,6,7,8,2]=>1100001=>6
[4,6,2,1,3,7,8,5]=>0110001=>4
[2,5,4,1,3,6,7,8]=>0110000=>5
[6,5,2,7,4,1,3,8]=>1101100=>7
[4,2,5,6,7,8,9,1,3]=>10000010=>7
[3,1,6,7,8,4,5,2]=>1000101=>5
[7,4,5,6,2,1,8,3]=>1001101=>4
[4,2,5,6,7,8,9,10,1,3]=>100000010=>8
[3,7,5,6,2,1,8,4]=>0101101=>2
[1,7,6,3,8,4,5,2]=>0110101=>3
[6,4,1,2,7,8,3,5]=>1100010=>7
[6,4,1,3,5,2,7,8]=>1100100=>7
[5,1,8,3,4,6,2,7]=>1010010=>6
[4,5,8,2,3,7,1,6]=>0010010=>3
[7,3,4,8,2,5,1,6]=>1001010=>5
[4,7,2,5,1,6,8,3]=>0101001=>3
[6,3,1,7,4,2,5,8]=>1101100=>7
[8,7,2,1,5,3,6,4]=>1110101=>6
[7,2,8,1,5,6,4,3]=>1010011=>5
[5,6,4,2,1,8,3,7]=>0111010=>3
[5,7,3,6,4,1,2,8]=>0101100=>3
[2,4,3,5,8,1,6,7]=>0100100=>5
[2,6,5,3,8,1,4,7]=>0110100=>4
[6,1,2,4,3,5,7,8]=>1001000=>7
[6,5,8,2,7,3,4,1]=>1010101=>4
[1,7,6,8,4,3,2,5]=>0101110=>2
[1,7,6,5,3,8,2,4]=>0111010=>3
[6,1,2,4,3,5,8,7]=>1001001=>5
[4,6,1,3,7,8,5,2]=>0100011=>3
[8,4,1,5,2,6,7,3]=>1101001=>6
[1,5,6,3,8,7,2,4]=>0010110=>2
[5,3,2,6,8,7,1,4]=>1100110=>6
[6,3,5,2,7,1,4,8]=>1010100=>7
[8,5,2,6,7,1,4,3]=>1100101=>6
[5,3,8,7,1,4,2,6]=>1011010=>6
[6,4,5,3,1,8,7,2]=>1011011=>3
[8,5,1,2,3,6,7,4]=>1100001=>6
[2,8,6,1,5,4,7,3]=>0110101=>3
[8,3,2,6,1,5,7,4]=>1101001=>6
[3,8,6,4,7,1,2,5]=>0110100=>4
[1,8,7,5,4,3,2,6]=>0111110=>2
[8,6,4,7,1,3,2,5]=>1101010=>7
[3,1,4,7,6,2,5,8]=>1001100=>6
[5,3,4,1,6,2,7,8]=>1010100=>7
[2,7,1,4,6,3,5,8]=>0100100=>5
[7,3,1,6,5,2,4,8]=>1101100=>7
[7,1,5,2,4,6,3,8]=>1010010=>6
[6,1,4,5,2,7,3,8]=>1001010=>5
[6,1,5,8,2,7,4,3]=>1001011=>4
[7,1,2,3,6,4,5,8]=>1000100=>6
[7,1,2,3,9,5,6,10,8,4]=>100010011=>6
[6,1,2,9,4,5,3,10,8,7]=>100101011=>5
[9,1,2,3,8,5,10,7,6,4]=>100010111=>5
[9,1,2,8,4,3,10,7,5,6]=>100110110=>5
[8,1,2,7,4,10,6,5,3,9]=>100101110=>5
[9,1,8,3,2,5,10,7,4,6]=>101100110=>7
[8,1,7,3,2,10,6,4,5,9]=>101101100=>7
[7,1,2,3,10,5,6,9,8,4]=>100010011=>6
[6,1,2,10,4,5,3,9,8,7]=>100101011=>5
[8,1,2,3,10,5,9,6,7,4]=>100010101=>6
[8,1,2,10,4,3,9,5,7,6]=>100110101=>5
[7,1,2,10,4,9,5,3,6,8]=>100101100=>7
[8,1,10,3,2,5,9,4,7,6]=>101100101=>6
[7,1,10,3,2,9,4,5,6,8]=>101101000=>8
[10,1,2,3,9,5,8,7,6,4]=>100010111=>5
[10,1,2,9,4,3,8,7,5,6]=>100110110=>5
[10,1,2,9,4,8,3,6,5,7]=>100101010=>6
[9,1,2,8,4,7,6,5,3,10]=>100101110=>5
[10,1,9,3,2,5,8,7,4,6]=>101100110=>7
[10,1,9,3,2,8,5,6,4,7]=>101101010=>8
[9,1,8,3,2,7,6,4,5,10]=>101101100=>7
[8,1,2,3,10,9,5,7,6,4]=>100011011=>5
[8,1,2,10,3,9,4,7,6,5]=>100101011=>5
[7,1,2,10,9,4,6,3,5,8]=>100110100=>7
[8,1,10,2,4,9,3,7,6,5]=>101001011=>6
[7,1,10,2,9,3,6,4,5,8]=>101010100=>9
[10,1,2,3,9,8,5,6,7,4]=>100011001=>6
[10,1,2,9,3,8,4,6,7,5]=>100101001=>6
[10,1,2,9,8,4,3,5,6,7]=>100111000=>7
[9,1,2,8,7,4,5,6,3,10]=>100110010=>7
[10,1,9,2,4,8,3,6,7,5]=>101001001=>8
[10,1,9,2,8,3,4,5,6,7]=>101010000=>9
[9,1,8,2,7,3,5,6,4,10]=>101010010=>8
[10,1,9,8,3,2,6,4,5,7]=>101110100=>7
[9,1,8,7,3,2,4,5,6,10]=>101110000=>7
[8,10,1,3,4,9,2,7,6,5]=>010001011=>3
[7,10,1,3,9,2,6,4,5,8]=>010010100=>5
[10,9,1,3,4,8,2,6,7,5]=>110001001=>8
[10,9,1,3,8,2,4,5,6,7]=>110010000=>9
[9,8,1,3,7,2,5,6,4,10]=>110010010=>9
[10,9,1,8,2,3,6,4,5,7]=>110100100=>9
[9,8,1,7,2,3,4,5,6,10]=>110100000=>9
[6,3,1,8,5,4,7,2]=>1101101=>5
[6,1,3,8,7,4,5,2]=>1001101=>4
[2,8,4,6,5,1,7,3]=>0101101=>2
[7,4,1,3,6,5,2,8]=>1100110=>6
[5,7,2,8,1,3,6,4]=>0101001=>3
[6,5,1,4,7,3,2,8]=>1100110=>6
[2,7,8,4,1,3,6,5]=>0011001=>2
[2,4,6,5,7,8,1,3]=>0010010=>3
[2,4,6,7,5,8,1,3]=>0001010=>2
[2,4,6,3,7,8,1,5]=>0010010=>3
[2,4,5,6,8,7,1,3]=>0000110=>2
[2,4,5,6,8,3,7,1]=>0000101=>1
[2,4,5,6,3,8,1,7]=>0001010=>2
[2,3,4,6,8,5,1,7]=>0000110=>2
[5,2,8,3,4,1,6,7]=>1010100=>7
[3,6,4,1,2,7,8,5]=>0110001=>4
[4,1,7,3,8,6,2,5]=>1010110=>5
[8,4,1,2,5,3,7,6]=>1100101=>6
[1,5,2,7,6,8,4,3]=>0101011=>1
[4,7,6,8,3,1,2,5]=>0101100=>3
[4,8,2,7,6,5,1,3]=>0101110=>2
[7,4,2,8,6,5,1,3]=>1101110=>6
[8,6,5,2,7,1,4,3]=>1110101=>6
[6,5,8,2,7,1,4,3]=>1010101=>4
[7,5,8,2,1,6,4,3]=>1011011=>3
[3,2,1,6,5,8,4,7]=>1101010=>7
[2,6,4,8,5,7,3,1]=>0101011=>1
[6,3,1,4,5,8,2,7]=>1100010=>7
[3,4,8,5,2,1,7,6]=>0011101=>1
[4,8,7,1,3,2,6,5]=>0110101=>3
[5,8,7,4,6,1,3,2]=>0110101=>3
[3,4,1,8,7,6,2,5]=>0101110=>2
[1,3,5,6,8,7,2,4]=>0000110=>2
[2,8,7,5,4,1,6,3]=>0111101=>2
[8,1,5,7,4,2,6,3]=>1001101=>4
[5,8,7,3,4,1,6,2]=>0110101=>3
[4,6,1,3,2,8,5,7]=>0101010=>4
[2,6,5,8,3,1,4,7]=>0101100=>3
[6,7,8,2,4,5,3,1]=>0010011=>1
[3,2,8,4,5,7,1,6]=>1010010=>6
[6,1,8,2,4,5,3,7]=>1010010=>6
[8,3,6,4,2,7,1,5]=>1011010=>6
[1,3,8,4,7,6,2,5]=>0010110=>2
[8,3,7,5,4,1,2,6]=>1011100=>5
[2,6,4,7,8,5,1,3]=>0100110=>3
[5,4,3,7,6,1,8,2]=>1101101=>5
[8,6,3,7,1,4,2,5]=>1101010=>7
[3,1,2,8,7,6,4,5]=>1001110=>4
[8,5,4,1,2,3,7,6]=>1110001=>6
[8,3,2,1,6,4,7,5]=>1110101=>6
[2,3,8,4,1,7,5,6]=>0011010=>2
[4,6,1,3,2,7,8,5]=>0101001=>3
[6,7,2,5,8,4,1,3]=>0100110=>3
[4,1,7,8,2,5,6,3]=>1001001=>5
[3,4,6,7,1,5,8,2]=>0001001=>1
[3,4,5,7,8,1,6,2]=>0000101=>1
[1,8,7,4,3,5,2,6]=>0111010=>3
[2,4,5,8,1,3,7,6]=>0001001=>1
[2,7,8,6,5,3,1,4]=>0011110=>2
[6,3,1,5,8,4,2,7]=>1100110=>6
[2,8,3,5,6,1,4,7]=>0100100=>5
[1,3,6,4,2,7,5,8]=>0011010=>2
[2,3,7,5,8,1,4,6]=>0010100=>3
[3,2,8,5,6,1,4,7]=>1010100=>7
[7,2,5,8,1,4,6,3]=>1001001=>5
[4,7,5,8,1,2,6,3]=>0101001=>3
[4,7,5,8,1,2,3,6]=>0101000=>5
[3,4,7,5,2,8,1,6]=>0011010=>2
[4,3,2,5,7,8,1,6]=>1100010=>7
[2,4,7,5,8,3,1,6]=>0010110=>2
[2,5,4,7,3,8,1,6]=>0101010=>4
[3,7,8,4,2,1,6,5]=>0011101=>1
[5,6,7,9,1,2,3,4,8]=>00010000=>5
[4,5,6,7,9,1,2,3,8]=>00001000=>4
[7,8,10,1,2,3,4,5,6,9]=>001000000=>7
[4,5,6,7,8,10,1,2,3,9]=>000001000=>4
[8,5,4,7,6,3,1,2]=>1101110=>6
[1,5,4,8,7,6,2,3]=>0101110=>2
[3,2,4,5,8,1,6,7]=>1000100=>6
[3,6,8,4,2,7,1,5]=>0011010=>2
[1,4,7,6,3,8,2,5]=>0011010=>2
[3,6,5,1,7,2,8,4]=>0110101=>3
[7,4,1,6,2,8,5,3]=>1101011=>5
[1,3,6,8,2,4,7,5]=>0001001=>1
[1,6,7,4,3,8,2,5]=>0011010=>2
[7,3,1,6,5,2,8,4]=>1101101=>5
[8,5,4,1,6,2,7,3]=>1110101=>6
[4,7,2,8,5,1,6,3]=>0101101=>2
[7,8,6,2,1,5,4,3]=>0111011=>2
[8,6,2,7,3,5,1,4]=>1101010=>7
[2,1,3,8,7,5,6,4]=>1001101=>4
[8,1,7,3,6,5,2,4]=>1010110=>5
[1,6,5,7,4,8,3,9,2]=>01010101=>4
[5,4,6,3,8,2,7,1,9]=>10101010=>8
[1,6,7,5,8,4,9,3,10,2]=>001010101=>1
[6,5,7,4,8,3,9,2,10,1,11]=>1010101010=>10
[1,6,4,7,3,8,5,2]=>0101011=>1
[1,2,3,4,5,6,8,10,7,9]=>000000010=>2
[3,4,5,6,7,8,2,1,9]=>00000110=>2
[3,4,5,6,7,2,1,8,9]=>00001100=>3
[4,5,6,7,8,1,2,3,9]=>00001000=>4
[4,8,1,6,3,7,2,5]=>0101010=>4
[8,5,4,1,6,3,7,2]=>1110101=>6
[1,7,6,2,4,8,5,3]=>0110011=>2
[5,7,3,2,4,8,6,1]=>0110011=>2
[2,8,4,6,3,5,1,7]=>0101010=>4
[2,7,8,3,6,4,5,1]=>0010101=>1
[3,8,1,4,6,5,2,7]=>0100110=>3
[2,7,5,4,1,8,3,6]=>0111010=>3
[4,6,1,8,5,3,2,7]=>0101110=>2
[3,8,5,2,1,6,4,7]=>0111010=>3
[5,1,4,8,2,6,3,7]=>1001010=>5
[4,5,8,1,3,7,6,2]=>0010011=>1
[8,6,7,1,4,3,2,5]=>1010110=>5
[1,4,7,8,6,3,5,2]=>0001101=>1
[8,5,2,6,3,4,7,1]=>1101001=>6
[8,3,6,1,2,7,4,5]=>1010010=>6
[3,8,6,1,2,5,7,4]=>0110001=>4
[3,7,6,2,1,8,5,4]=>0111011=>2
[4,3,7,6,1,8,5,2]=>1011011=>3
[8,6,3,2,7,1,5,4]=>1110101=>6
[6,8,1,5,4,7,2,3]=>0101010=>4
[6,7,2,5,4,8,1,3]=>0101010=>4
[7,6,2,4,8,5,1,3]=>1100110=>6
[4,6,8,7,3,1,2,5]=>0011100=>3
[4,7,5,2,6,3,8,1]=>0110101=>3
[3,5,6,2,8,1,4,7]=>0010100=>3
[8,9,10,4,5,6,2,3,1,7]=>001001010=>2
[8,9,4,5,6,10,2,3,1,7]=>010001010=>4
[8,9,10,4,5,2,3,6,1,7]=>001010010=>3
[8,9,4,5,10,2,3,6,1,7]=>010010010=>6
[8,9,4,5,2,3,6,10,1,7]=>010100010=>6
[8,4,5,9,10,2,3,6,1,7]=>100010010=>7
[8,4,5,9,2,3,6,10,1,7]=>100100010=>8
[8,9,10,4,5,6,2,1,3,7]=>001001100=>3
[8,9,4,5,6,10,2,1,3,7]=>010001100=>5
[8,9,10,4,5,2,6,1,3,7]=>001010100=>3
[8,9,4,5,10,2,6,1,3,7]=>010010100=>5
[8,9,4,5,2,6,10,1,3,7]=>010100100=>6
[8,4,5,9,10,2,6,1,3,7]=>100010100=>7
[8,4,5,9,2,6,10,1,3,7]=>100100100=>9
[8,9,10,4,5,2,1,3,6,7]=>001011000=>4
[8,9,4,5,10,2,1,3,6,7]=>010011000=>5
[8,9,4,5,2,10,1,3,6,7]=>010101000=>6
[8,9,4,5,2,1,3,6,10,7]=>010110001=>4
[8,4,5,9,10,2,1,3,6,7]=>100011000=>8
[8,4,5,9,2,10,1,3,6,7]=>100101000=>8
[8,4,5,9,2,1,3,6,10,7]=>100110001=>7
[8,9,10,4,2,5,6,1,3,7]=>001100100=>4
[8,9,4,10,2,5,6,1,3,7]=>010100100=>6
[8,9,4,2,5,6,10,1,3,7]=>011000100=>6
[8,4,9,10,2,5,6,1,3,7]=>100100100=>9
[8,4,9,2,5,6,10,1,3,7]=>101000100=>9
[8,9,10,4,2,5,1,3,6,7]=>001101000=>4
[8,9,4,10,2,5,1,3,6,7]=>010101000=>6
[8,9,4,2,5,10,1,3,6,7]=>011001000=>6
[8,9,4,2,5,1,3,6,10,7]=>011010001=>5
[8,4,9,10,2,5,1,3,6,7]=>100101000=>8
[8,4,9,2,5,1,3,6,10,7]=>101010001=>8
[8,4,2,5,9,10,1,3,6,7]=>110001000=>9
[8,4,2,5,9,1,3,6,10,7]=>110010001=>8
[4,8,9,10,2,5,6,1,3,7]=>000100100=>3
[4,8,9,2,5,6,10,1,3,7]=>001000100=>5
[4,8,9,10,2,5,1,3,6,7]=>000101000=>4
[4,8,9,2,5,10,1,3,6,7]=>001001000=>5
[4,8,9,2,5,1,3,6,10,7]=>001010001=>3
[4,8,2,5,9,10,1,3,6,7]=>010001000=>7
[4,8,2,5,9,1,3,6,10,7]=>010010001=>5
[5,1,2,4,3,7,6,8]=>1001010=>5
[6,1,8,2,4,3,5,7]=>1010100=>7
[1,6,8,2,5,3,4,7]=>0010100=>3
[8,7,6,2,4,5,1,3]=>1110010=>7
[8,7,6,2,4,5,3,1]=>1110011=>5
[5,4,8,7,1,2,6,3]=>1011001=>5
[2,5,6,4,3,8,1,7]=>0011010=>2
[8,7,3,5,1,4,6,2]=>1101001=>6
[8,6,3,5,2,1,4,7]=>1101100=>7
[8,7,3,5,2,4,6,1]=>1101001=>6
[8,4,2,7,6,5,1,3]=>1101110=>6
[4,6,3,8,5,2,7,1]=>0101101=>2
[8,7,1,4,5,6,2,3]=>1100010=>7
[4,1,3,8,5,6,2,7]=>1001010=>5
[5,2,8,3,1,6,7,4]=>1011001=>5
[1,7,8,6,3,2,5,4]=>0011101=>1
[3,7,2,4,5,6,1,8]=>0100010=>4
[3,2,8,1,5,7,4,6]=>1010010=>6
[3,4,6,7,2,1,5,8]=>0001100=>3
[2,6,7,1,4,3,8,5]=>0010101=>1
[3,2,7,4,8,5,6,1]=>1010101=>4
[6,3,8,5,4,2,7,1]=>1011101=>4
[7,4,6,1,3,5,2,8]=>1010010=>6
[1,5,3,8,7,4,6,2]=>0101101=>2
[5,1,3,8,7,4,6,2]=>1001101=>4
[2,5,3,8,7,4,1,6]=>0101110=>2
[6,8,3,5,1,2,7,4]=>0101001=>3
[5,8,2,7,4,6,3,1]=>0101011=>1
[4,5,2,8,3,7,1,6]=>0101010=>4
[7,8,5,1,6,4,3,2]=>0110111=>1
[8,7,5,1,6,4,3,2]=>1110111=>4
[4,5,8,3,1,2,7,6]=>0011001=>2
[4,6,8,3,2,1,7,5]=>0011101=>1
[4,6,8,3,5,1,2,7]=>0010100=>3
[1,4,6,3,7,5,2,8]=>0010110=>2
[4,5,2,6,8,7,3,1]=>0100111=>2
[1,3,8,7,4,5,6,2]=>0011001=>2
[7,3,1,8,4,5,6,2]=>1101001=>6
[3,2,8,7,4,5,6,1]=>1011001=>5
[6,2,4,3,7,5,8,1]=>1010101=>4
[6,4,2,5,1,7,8,3]=>1101001=>6
[3,8,2,1,5,7,6,4]=>0110011=>2
[1,3,2,8,7,4,6,5]=>0101101=>2
[7,5,2,8,3,1,6,4]=>1101101=>5
[5,4,2,7,3,8,6,1]=>1101011=>5
[4,6,3,7,8,1,2,5]=>0100100=>5
[8,3,5,4,7,1,2,6]=>1010100=>7
[6,2,5,4,1,7,8,3]=>1011001=>5
[4,1,5,6,3,8,7,2]=>1001011=>4
[8,5,1,6,3,2,4,7]=>1101100=>7
[6,8,7,4,3,2,5,1]=>0111101=>2
[2,8,5,1,3,7,6,4]=>0110011=>2
[5,6,4,1,8,2,7,3]=>0110101=>3
[6,4,5,1,3,8,7,2]=>1010011=>5
[6,1,3,5,4,8,2,7]=>1001010=>5
[1,3,8,7,2,5,6,4]=>0011001=>2
[2,5,4,1,8,3,7,6]=>0110101=>3
[5,1,4,8,3,7,6,2]=>1001011=>4
[8,4,1,2,7,6,5,3]=>1100111=>4
[4,8,3,2,7,6,5,1]=>0110111=>1
[1,8,7,3,4,6,5,2]=>0110011=>2
[4,3,1,2,6,5,8,7,9]=>11001010=>8
[6,5,3,1,2,4,8,7,9]=>11100010=>8
[8,7,5,3,1,2,4,6,9]=>11110000=>8
[7,5,3,1,2,4,6,9,8]=>11100001=>7
[5,3,1,2,4,7,6,9,8]=>11000101=>7
[4,1,2,6,5,3,8,7,9]=>10011010=>5
[6,5,3,1,2,4,8,7,10,9]=>111000101=>8
[6,3,1,2,4,8,7,5,9]=>11000110=>7
[8,7,5,3,1,2,4,6,10,9]=>111100001=>8
[8,5,3,1,2,4,6,9,7]=>11100001=>7
[10,9,7,5,3,1,2,4,6,8]=>111110000=>9
[5,3,1,2,4,6,8,7]=>1100001=>6
[8,5,7,3,1,2,4,6]=>1011000=>6
[7,5,3,1,2,4,6,8,9]=>11100000=>8
[3,1,2,8,7,5,4,6]=>1001110=>4
[5,3,1,2,4,9,7,6,8]=>11000110=>7
[7,5,3,1,2,4,6,9,8,10]=>111000010=>9
[3,1,2,7,5,4,6,9,8]=>10011001=>6
[5,3,1,2,4,7,6,9,8,10]=>110001010=>9
[1,5,3,2,4,7,6,9,8]=>01100101=>4
[1,4,3,8,5,7,2,6]=>0101010=>4
[6,7,1,5,2,8,4,3]=>0101011=>1
[1,5,3,7,6,4,8,2]=>0101101=>2
[4,8,1,3,6,2,7,5]=>0100101=>2
[2,7,3,4,8,6,5,1]=>0100111=>2
[1,8,2,4,7,3,6,5]=>0100101=>2
[6,2,3,8,1,5,7,4]=>1001001=>5
[2,5,7,4,8,3,6,1]=>0010101=>1
[8,5,6,2,4,7,1,3]=>1010010=>6
[4,8,5,6,7,1,3,2]=>0100101=>2
[8,1,5,7,3,6,4,2]=>1001011=>4
[2,7,6,4,3,8,5,1]=>0111011=>2
[3,8,6,2,7,5,4,1]=>0110111=>1
[4,8,1,6,2,5,3,7]=>0101010=>4
[1,8,4,2,5,7,3,6]=>0110010=>4
[5,8,3,1,2,4,6,7]=>0110000=>5
[1,4,8,5,2,3,6,7]=>0011000=>4
[1,4,8,5,2,3,7,6]=>0011001=>2
[1,5,8,7,2,4,3,6]=>0011010=>2
[1,5,4,2,8,3,7,6]=>0110101=>3
[1,2,8,7,3,5,4,6]=>0011010=>2
[8,7,1,3,2,5,4,6]=>1101010=>7
[6,7,4,2,8,1,3,5]=>0110100=>4
[4,1,6,8,7,2,3,5]=>1001100=>6
[4,7,5,6,2,8,3,1]=>0101011=>1
[8,4,3,6,7,5,2,1]=>1100111=>4
[6,7,5,2,8,4,3,1]=>0110111=>1
[6,8,4,3,2,7,5,1]=>0111011=>2
[2,1,4,3,6,5,9,7,10,8]=>101010101=>5
[2,1,4,3,7,5,8,6,10,9]=>101010101=>5
[2,1,4,3,7,5,9,6,10,8]=>101010101=>5
[2,1,4,3,8,5,9,6,10,7]=>101010101=>5
[2,1,5,3,6,4,8,7,10,9]=>101010101=>5
[2,1,5,3,6,4,9,7,10,8]=>101010101=>5
[2,1,5,3,7,4,8,6,10,9]=>101010101=>5
[2,1,5,3,7,4,9,6,10,8]=>101010101=>5
[2,1,5,3,8,4,9,6,10,7]=>101010101=>5
[2,1,6,3,7,4,8,5,10,9]=>101010101=>5
[2,1,6,3,7,4,9,5,10,8]=>101010101=>5
[2,1,6,3,8,4,9,5,10,7]=>101010101=>5
[2,1,7,3,8,4,9,5,10,6]=>101010101=>5
[3,1,4,2,6,5,9,7,10,8]=>101010101=>5
[3,1,4,2,7,5,8,6,10,9]=>101010101=>5
[3,1,4,2,7,5,9,6,10,8]=>101010101=>5
[3,1,4,2,8,5,9,6,10,7]=>101010101=>5
[3,1,5,2,6,4,9,7,10,8]=>101010101=>5
[3,1,5,2,8,4,9,6,10,7]=>101010101=>5
[3,1,6,2,7,4,8,5,10,9]=>101010101=>5
[3,1,6,2,7,4,9,5,10,8]=>101010101=>5
[3,1,6,2,8,4,9,5,10,7]=>101010101=>5
[3,1,7,2,8,4,9,5,10,6]=>101010101=>5
[4,1,5,2,6,3,9,7,10,8]=>101010101=>5
[4,1,5,2,7,3,8,6,10,9]=>101010101=>5
[4,1,5,2,7,3,9,6,10,8]=>101010101=>5
[4,1,5,2,8,3,9,6,10,7]=>101010101=>5
[4,1,6,2,7,3,8,5,10,9]=>101010101=>5
[4,1,6,2,7,3,9,5,10,8]=>101010101=>5
[4,1,6,2,8,3,9,5,10,7]=>101010101=>5
[4,1,7,2,8,3,9,5,10,6]=>101010101=>5
[5,1,6,2,7,3,9,4,10,8]=>101010101=>5
[5,1,6,2,8,3,9,4,10,7]=>101010101=>5
[5,1,7,2,8,3,9,4,10,6]=>101010101=>5
[2,9,8,7,6,5,1,4,3]=>01111101=>2
[2,10,9,8,7,6,5,1,4,3]=>011111101=>2
[6,1,7,3,5,8,2,4]=>1010010=>6
[1,3,7,6,4,8,2,5]=>0011010=>2
[2,6,4,8,7,3,1,5]=>0101110=>2
[2,1,8,7,3,5,4,6]=>1011010=>6
[6,1,5,8,7,4,3,2]=>1001111=>3
[6,1,8,5,7,4,3,2]=>1010111=>3
[8,5,1,4,7,6,3,2]=>1100111=>4
[8,1,3,7,2,4,6,5]=>1001001=>5
[2,6,7,3,5,8,4,1]=>0010011=>1
[2,6,7,3,5,8,1,4]=>0010010=>3
[5,3,1,6,4,8,2,7]=>1101010=>7
[2,5,6,7,1,4,8,3]=>0001001=>1
[4,7,5,3,2,8,1,6]=>0111010=>3
[4,7,5,2,8,6,1,3]=>0110110=>3
[5,8,1,2,7,4,3,6]=>0100110=>3
[6,3,1,8,2,4,5,7]=>1101000=>7
[4,6,3,7,8,1,5,2]=>0100101=>2
[6,3,1,8,4,5,2,7]=>1101010=>7
[2,1,4,7,5,8,6,3]=>1001011=>4
[7,6,2,4,8,3,1,5]=>1100110=>6
[6,5,8,1,4,3,7,2]=>1010101=>4
[8,1,4,2,7,5,6,3]=>1010101=>4
[9,3,4,5,6,7,1,2,10,8]=>100001001=>7
[1,7,2,8,3,9,4,10,5,6]=>010101010=>5
[1,7,2,8,3,9,10,4,5,6]=>010100100=>6
[1,7,2,8,9,3,4,10,5,6]=>010010010=>6
[1,7,2,8,9,3,10,4,5,6]=>010010100=>5
[1,7,2,8,9,10,3,4,5,6]=>010001000=>7
[1,7,8,2,3,9,4,10,5,6]=>001001010=>2
[1,7,8,2,3,9,10,4,5,6]=>001000100=>5
[1,7,8,2,9,3,4,10,5,6]=>001010010=>3
[1,7,8,2,9,3,10,4,5,6]=>001010100=>3
[1,7,8,2,9,10,3,4,5,6]=>001001000=>5
[1,7,8,9,2,3,4,10,5,6]=>000100010=>3
[1,7,8,9,2,3,10,4,5,6]=>000100100=>3
[1,7,8,9,2,10,3,4,5,6]=>000101000=>4
[7,1,2,8,3,9,4,10,5,6]=>100101010=>6
[7,1,2,8,3,9,10,4,5,6]=>100100100=>9
[7,1,2,8,9,3,4,10,5,6]=>100010010=>7
[7,1,2,8,9,3,10,4,5,6]=>100010100=>7
[7,1,2,8,9,10,3,4,5,6]=>100001000=>8
[7,1,8,2,3,9,4,10,5,6]=>101001010=>7
[7,1,8,2,3,9,10,4,5,6]=>101000100=>9
[7,1,8,2,9,3,4,10,5,6]=>101010010=>8
[7,1,8,2,9,10,3,4,5,6]=>101001000=>9
[7,1,8,9,2,3,4,10,5,6]=>100100010=>8
[7,1,8,9,2,3,10,4,5,6]=>100100100=>9
[7,1,8,9,2,10,3,4,5,6]=>100101000=>8
[7,1,8,9,10,2,3,4,5,6]=>100010000=>9
[7,8,1,2,3,9,4,10,5,6]=>010001010=>4
[7,8,1,2,3,9,10,4,5,6]=>010000100=>6
[7,8,1,2,9,3,4,10,5,6]=>010010010=>6
[7,8,1,2,9,3,10,4,5,6]=>010010100=>5
[7,8,1,2,9,10,3,4,5,6]=>010001000=>7
[7,8,1,9,2,3,4,10,5,6]=>010100010=>6
[7,8,1,9,2,3,10,4,5,6]=>010100100=>6
[7,8,1,9,2,10,3,4,5,6]=>010101000=>6
[7,8,1,9,10,2,3,4,5,6]=>010010000=>7
[7,8,9,1,2,3,4,10,5,6]=>001000010=>4
[7,8,9,1,2,3,10,4,5,6]=>001000100=>5
[7,8,9,1,2,10,3,4,5,6]=>001001000=>5
[7,8,9,1,10,2,3,4,5,6]=>001010000=>5
[8,1,2,9,3,10,4,11,5,12,6,7]=>10010101010=>7
[8,1,2,9,3,10,11,4,5,12,6,7]=>10010010010=>8
[8,1,2,9,3,10,11,4,12,5,6,7]=>10010010100=>9
[8,1,2,9,3,10,11,12,4,5,6,7]=>10010001000=>11
[8,1,2,9,10,3,4,11,5,12,6,7]=>10001001010=>8
[8,1,2,9,10,3,4,11,12,5,6,7]=>10001000100=>9
[8,1,2,9,10,3,11,4,5,12,6,7]=>10001010010=>8
[8,1,2,9,10,3,11,4,12,5,6,7]=>10001010100=>8
[8,1,2,9,10,3,11,12,4,5,6,7]=>10001001000=>10
[8,1,2,9,10,11,3,4,5,12,6,7]=>10000100010=>9
[8,1,2,9,10,11,3,4,12,5,6,7]=>10000100100=>9
[8,1,2,9,10,11,3,12,4,5,6,7]=>10000101000=>9
[8,1,2,9,10,11,12,3,4,5,6,7]=>10000010000=>10
[8,1,9,2,3,10,4,11,5,12,6,7]=>10100101010=>8
[8,1,9,2,3,10,11,4,5,12,6,7]=>10100010010=>10
[8,1,9,10,2,3,4,11,5,12,6,7]=>10010001010=>9
[8,1,9,10,2,3,4,11,12,5,6,7]=>10010000100=>10
[8,1,9,10,2,3,11,4,5,12,6,7]=>10010010010=>8
[8,1,9,10,2,3,11,4,12,5,6,7]=>10010010100=>9
[8,1,9,10,2,3,11,12,4,5,6,7]=>10010001000=>11
[8,1,9,10,2,11,3,4,5,12,6,7]=>10010100010=>9
[8,1,9,10,11,2,3,4,5,12,6,7]=>10001000010=>10
[8,1,9,10,11,2,3,4,12,5,6,7]=>10001000100=>9
[8,1,9,10,11,2,3,12,4,5,6,7]=>10001001000=>10
[8,6,3,5,2,1,7,4]=>1101101=>5
[6,8,3,1,2,5,4,7]=>0110010=>4
[5,8,6,4,7,1,2,3]=>0110100=>4
[2,5,1,8,7,3,4,6]=>0101100=>3
[7,2,4,3,8,6,1,5]=>1010110=>5
[1,7,6,5,4,3,2,9,8]=>01111101=>2
[6,8,4,3,5,1,7,2]=>0110101=>3
[1,4,7,3,6,8,2,5]=>0010010=>3
[3,7,1,4,6,8,2,5]=>0100010=>4
[2,4,7,3,6,8,1,5]=>0010010=>3
[8,5,7,6,1,3,2,4]=>1011010=>6
[2,7,5,6,1,8,4,3]=>0101011=>1
[1,2,6,7,4,5,8,3]=>0001001=>1
[6,5,2,8,7,1,4,3]=>1101101=>5
[7,2,3,6,8,1,4,5]=>1000100=>6
[2,6,1,3,8,5,4,7]=>0100110=>3
[6,4,1,8,3,2,5,7]=>1101100=>7
[5,8,1,4,2,7,3,6]=>0101010=>4
[2,3,1,6,8,7,4,5]=>0100110=>3
[6,4,8,2,1,7,3,5]=>1011010=>6
[2,3,1,8,7,5,6,4]=>0101101=>2
[1,5,6,7,2,4,3,8]=>0001010=>2
[2,8,6,4,1,5,3,7]=>0111010=>3
[1,5,7,3,6,2,4,8]=>0010100=>3
[6,7,4,5,1,3,8,2]=>0101001=>3
[1,6,5,3,8,2,4,7]=>0110100=>4
[5,6,1,2,4,8,3,7]=>0100010=>4
[8,7,4,5,1,3,2,6]=>1101010=>7
[8,5,1,2,7,4,3,6]=>1100110=>6
[4,1,8,7,2,5,3,6]=>1011010=>6
[2,6,3,8,4,1,7,5]=>0101101=>2
[3,2,4,6,1,8,7,5]=>1001011=>4
[3,6,7,4,1,2,5,8]=>0011000=>4
[1,4,7,5,8,2,3,6]=>0010100=>3
[1,6,8,4,7,3,2,5]=>0010110=>2
[3,6,7,5,4,8,1,2]=>0011010=>2
[4,5,7,2,6,3,8,1]=>0010101=>1
[2,1,5,7,4,6,8,3]=>1001001=>5
[2,3,5,7,8,1,6,4]=>0000101=>1
[1,5,7,4,2,3,6,8]=>0011000=>4
[2,4,7,5,3,6,8,1]=>0011001=>2
[8,1,7,2,4,6,3,5]=>1010010=>6
[1,2,4,7,8,6,3,5]=>0000110=>2
[1,3,6,2,5,8,4,7]=>0010010=>3
[1,5,3,6,8,2,4,7]=>0100100=>5
[4,8,1,2,6,3,7,5]=>0100101=>2
[5,8,1,2,6,3,7,4]=>0100101=>2
[1,6,2,3,7,5,8,4]=>0100101=>2
[4,1,2,6,5,7,8,3]=>1001001=>5
[1,8,4,2,7,3,6,5]=>0110101=>3
[1,7,5,2,3,8,6,4]=>0110011=>2
[8,1,4,7,3,5,2,6]=>1001010=>5
[8,4,3,6,1,7,2,5]=>1101010=>7
[2,6,1,8,3,7,4,5]=>0101010=>4
[8,4,2,1,3,7,5,6]=>1110010=>7
[2,5,1,7,6,8,3,4]=>0101010=>4
[5,3,1,8,2,4,7,6]=>1101001=>6
[1,2,6,3,7,5,8,4]=>0010101=>1
[5,1,8,3,2,4,7,6]=>1011001=>5
[3,1,5,4,6,7,8,2]=>1010001=>6
[2,8,5,7,3,1,4,6]=>0101100=>3
[2,6,8,7,3,1,4,5]=>0011100=>3
[7,4,2,1,3,8,5,6]=>1110010=>7
[7,2,1,3,8,5,4,6]=>1100110=>6
[2,1,7,3,8,6,4,5]=>1010110=>5
[1,7,5,3,2,4,8,6]=>0111001=>3
[1,4,2,7,6,5,8,3]=>0101101=>2
[3,4,1,6,5,7,8,2]=>0101001=>3
[2,8,7,3,4,1,5,6]=>0110100=>4
[5,7,6,2,3,8,1,4]=>0110010=>4
[4,5,7,6,2,8,1,3]=>0011010=>2
[3,1,8,7,5,2,6,4]=>1011101=>4
[4,5,6,8,7,2,1,3]=>0001110=>2
[2,8,3,1,5,4,7,6]=>0110101=>3
[3,8,4,1,5,2,7,6]=>0110101=>3
[5,1,7,8,3,2,6,4]=>1001101=>4
[1,8,6,2,4,3,7,5]=>0110101=>3
[4,8,3,1,6,2,7,5]=>0110101=>3
[2,8,3,1,6,4,7,5]=>0110101=>3
[6,2,7,1,5,8,4,3]=>1010011=>5
[1,7,8,9,6,5,4,3,2]=>00011111=>1
[1,6,7,8,9,5,4,3,2]=>00001111=>1
[1,5,6,7,8,9,4,3,2]=>00000111=>1
[1,4,5,6,7,8,9,3,2]=>00000011=>1
[1,8,9,10,7,6,5,4,3,2]=>000111111=>1
[1,7,6,8,9,5,4,3,2]=>01001111=>2
[1,7,8,9,10,6,5,4,3,2]=>000011111=>1
[1,6,5,7,8,9,4,3,2]=>01000111=>3
[1,6,7,8,9,10,5,4,3,2]=>000001111=>1
[1,5,4,6,7,8,9,3,2]=>01000011=>4
[1,5,6,7,8,9,10,4,3,2]=>000000111=>1
[1,4,5,6,7,8,9,10,3,2]=>000000011=>1
[4,8,5,1,3,2,6,7]=>0110100=>4
[5,4,3,1,2,7,6,8]=>1110010=>7
[4,1,6,5,2,3,7,8]=>1011000=>6
[7,1,5,2,3,6,4,8]=>1010010=>6
[4,1,6,3,7,2,5,8]=>1010100=>7
[4,6,1,2,8,3,7,5]=>0100101=>2
[4,1,3,6,7,2,5,8]=>1000100=>6
[2,6,5,1,3,4,7,8]=>0110000=>5
[2,6,7,4,3,1,5,8]=>0011100=>3
[2,6,3,1,7,4,5,8]=>0110100=>4
[6,5,3,7,2,4,1,8]=>1101010=>7
[2,3,6,7,1,5,4,8]=>0001010=>2
[2,7,5,8,1,3,6,4]=>0101001=>3
[5,1,6,7,3,2,4,8]=>1001100=>6
[5,6,1,4,7,2,3,8]=>0100100=>5
[1,2,5,7,8,6,3,4]=>0000110=>2
[1,2,6,7,4,5,3,8]=>0001010=>2
[1,2,7,8,4,6,3,5]=>0001010=>2
[8,6,5,2,1,7,4,3]=>1111011=>5
[4,3,8,6,7,1,5,2]=>1010101=>4
[8,3,2,4,7,1,6,5]=>1100101=>6
[7,3,2,8,6,1,5,4]=>1101101=>5
[7,5,8,2,6,1,4,3]=>1010101=>4
[7,4,1,2,6,5,8,3]=>1100101=>6
[5,2,7,4,6,1,8,3]=>1010101=>4
[7,4,1,2,3,6,8,5]=>1100001=>6
[5,4,8,6,3,2,1,7]=>1011110=>4
[8,4,6,7,3,1,5,2]=>1001101=>4
[4,6,8,5,1,2,7,3]=>0011001=>2
[4,1,3,6,8,5,2,7]=>1000110=>5
[6,3,5,7,1,2,8,4]=>1001001=>5
[1,8,5,3,2,4,6,7]=>0111000=>4
[1,6,7,3,4,2,5,8]=>0010100=>3
[1,6,8,3,4,2,5,7]=>0010100=>3
[1,8,7,5,3,4,2,6]=>0111010=>3
[1,7,8,5,3,4,2,6]=>0011010=>2
[1,7,6,8,4,2,3,5]=>0101100=>3
[1,7,8,6,4,3,2,5]=>0011110=>2
[9,8,7,6,5,2,1,3,4]=>11111100=>8
[9,8,6,4,7,2,5,1,3]=>11101010=>8
[7,2,8,9,10,1,3,4,5,6]=>100010000=>9
[9,7,8,6,5,4,3,2,1]=>10111111=>2
[5,1,7,8,4,2,3,6]=>1001100=>6
[3,8,2,1,6,7,5,4]=>0110011=>2
[2,8,3,1,7,5,6,4]=>0110101=>3
[8,5,6,2,1,4,7,3]=>1011001=>5
[9,10,6,4,2,1,3,5,8,7]=>011110001=>4
[10,7,8,4,2,1,3,6,5,9]=>101110010=>7
[9,7,10,4,2,1,3,6,8,5]=>101110001=>6
[8,9,10,4,2,1,3,7,6,5]=>001110011=>2
[10,8,5,6,2,1,4,3,7,9]=>110110100=>9
[9,10,5,6,2,1,4,3,8,7]=>010110101=>3
[10,7,5,8,2,1,4,6,3,9]=>110110010=>9
[9,7,5,10,2,1,4,6,8,3]=>110110001=>8
[8,9,5,10,2,1,4,7,6,3]=>010110011=>2
[10,6,7,8,2,1,5,4,3,9]=>100110110=>5
[9,6,7,10,2,1,5,4,8,3]=>100110101=>5
[8,6,9,10,2,1,5,7,4,3]=>100110011=>5
[7,8,9,10,2,1,6,5,4,3]=>000110111=>1
[10,8,6,3,4,2,1,5,7,9]=>111011000=>9
[9,10,6,3,4,2,1,5,8,7]=>011011001=>4
[10,7,8,3,4,2,1,6,5,9]=>101011010=>7
[9,7,10,3,4,2,1,6,8,5]=>101011001=>6
[8,9,10,3,4,2,1,7,6,5]=>001011011=>1
[10,8,5,3,6,2,4,1,7,9]=>111010100=>9
[9,10,5,3,6,2,4,1,8,7]=>011010101=>4
[10,7,5,3,8,2,4,6,1,9]=>111010010=>9
[9,7,5,3,10,2,4,6,8,1]=>111010001=>8
[8,9,5,3,10,2,4,7,6,1]=>011010011=>3
[10,6,7,3,8,2,5,4,1,9]=>101010110=>6
[9,6,7,3,10,2,5,4,8,1]=>101010101=>5
[8,6,9,3,10,2,5,7,4,1]=>101010011=>7
[7,8,9,3,10,2,6,5,4,1]=>001010111=>1
[10,8,4,5,6,3,2,1,7,9]=>110011100=>8
[9,10,4,5,6,3,2,1,8,7]=>010011101=>2
[10,7,4,5,8,3,2,6,1,9]=>110011010=>8
[9,7,4,5,10,3,2,6,8,1]=>110011001=>7
[8,9,4,5,10,3,2,7,6,1]=>010011011=>2
[10,6,4,7,8,3,5,2,1,9]=>110010110=>8
[9,6,4,7,10,3,5,2,8,1]=>110010101=>8
[8,6,4,9,10,3,5,7,2,1]=>110010011=>7
[7,8,4,9,10,3,6,5,2,1]=>010010111=>2
[10,5,6,7,8,4,3,2,1,9]=>100011110=>5
[9,5,6,7,10,4,3,2,8,1]=>100011101=>5
[8,5,6,9,10,4,3,7,2,1]=>100011011=>5
[7,5,8,9,10,4,6,3,2,1]=>100010111=>5
[12,6,7,8,9,10,5,4,3,2,1,11]=>10000111110=>6
[11,3,4,5,6,7,8,10,1,2,9]=>1000000100=>9
[2,10,4,5,6,7,9,1,3,8]=>010000100=>6
[10,3,4,5,6,7,1,9,2,8]=>100001010=>7
[2,7,4,1,5,8,3,6]=>0110010=>4
[2,1,6,4,7,8,3,5]=>1010010=>6
[5,7,8,3,4,2,1,6]=>0010110=>2
[4,7,5,3,8,2,6,1]=>0110101=>3
[2,6,4,7,8,5,3,1]=>0100111=>2
[7,8,4,5,6,1,3,2]=>0100101=>2
[2,5,1,8,4,6,7,3]=>0101001=>3
[5,2,8,4,6,7,1,3]=>1010010=>6
[6,5,8,3,4,2,1,7]=>1010110=>5
[1,3,5,8,4,6,7,2]=>0001001=>1
[8,2,7,6,3,4,5,1]=>1011001=>5
[6,8,7,3,2,1,4,5]=>0111100=>3
[3,4,8,2,7,1,5,6]=>0010100=>3
[7,2,6,1,4,8,3,5]=>1010010=>6
[7,8,1,2,4,6,3,5]=>0100010=>4
[7,2,8,3,4,5,1,6]=>1010010=>6
[6,1,8,3,4,2,5,7]=>1010100=>7
[7,5,1,2,4,3,8,6]=>1100101=>6
[7,6,8,1,4,2,3,5]=>1010100=>7
[2,4,3,7,8,5,6,1]=>0100101=>2
[2,1,7,6,3,4,5,8]=>1011000=>6
[6,3,5,2,1,8,4,7]=>1011010=>6
[6,1,5,3,8,2,4,7]=>1010100=>7
[2,3,6,8,5,1,7,4]=>0001101=>1
[3,2,4,8,6,1,7,5]=>1001101=>4
[2,1,3,8,4,5,7,6]=>1001001=>5
[3,1,2,8,5,4,7,6]=>1001101=>4
[2,1,3,7,8,4,6,5]=>1000101=>5
[2,1,3,8,4,7,6,5]=>1001011=>4
[3,1,2,8,4,5,7,6]=>1001001=>5
[1,2,8,7,5,4,6,3]=>0011101=>1
[4,6,7,2,3,8,1,5]=>0010010=>3
[3,2,6,5,7,8,1,4]=>1010010=>6
[3,2,7,5,6,8,1,4]=>1010010=>6
[2,1,8,7,4,6,5,3]=>1011011=>3
[6,1,5,8,4,7,3,2]=>1001011=>4
[1,4,6,8,5,7,2,3]=>0001010=>2
[2,4,7,1,8,3,6,5]=>0010101=>1
[6,1,5,4,2,3,8,7]=>1011001=>5
[6,4,5,1,2,8,3,7]=>1010010=>6
[8,4,1,5,7,6,3,2]=>1100111=>4
[8,1,6,3,5,2,4,7]=>1010100=>7
[4,6,2,5,3,8,1,7]=>0101010=>4
[4,6,5,2,1,8,3,7]=>0111010=>3
[5,8,4,3,6,7,2,1]=>0110011=>2
[6,8,2,1,5,3,4,7]=>0110100=>4
[2,5,3,8,6,7,4,1]=>0101011=>1
[3,2,6,5,1,8,4,7]=>1011010=>6
[7,4,5,8,1,6,2,3]=>1001010=>5
[4,5,8,1,6,7,3,2]=>0010011=>1
[5,1,8,4,6,7,3,2]=>1010011=>5
[6,5,3,8,1,7,2,4]=>1101010=>7
[8,3,7,1,6,2,4,5]=>1010100=>7
[8,1,4,6,5,7,2,3]=>1001010=>5
[8,1,7,5,6,4,2,3]=>1010110=>5
[8,6,1,5,3,7,2,4]=>1101010=>7
[7,2,3,6,8,1,5,4]=>1000101=>5
[2,6,3,7,8,1,4,5]=>0100100=>5
[6,3,8,7,2,1,5,4]=>1011101=>4
[7,2,5,6,3,4,8,1]=>1001001=>5
[7,2,8,6,3,1,5,4]=>1011101=>4
[7,2,4,5,8,6,3,1]=>1000111=>4
[6,3,8,4,7,2,5,1]=>1010101=>4
[7,2,3,6,8,5,4,1]=>1000111=>4
[7,2,8,5,4,1,3,6]=>1011100=>5
[7,4,5,2,8,1,6,3]=>1010101=>4
[7,5,4,2,8,1,6,3]=>1110101=>6
[7,6,3,2,8,4,5,1]=>1110101=>6
[7,2,3,6,8,4,5,1]=>1000101=>5
[7,2,5,4,8,3,6,1]=>1010101=>4
[7,2,8,3,6,1,4,5]=>1010100=>7
[7,4,5,2,8,3,6,1]=>1010101=>4
[3,1,6,7,4,5,2,8]=>1001010=>5
[3,1,5,4,7,6,2,8]=>1010110=>5
[7,3,6,8,2,4,5,1]=>1001001=>5
[5,1,3,2,4,6,8,7]=>1010001=>6
[8,4,2,5,1,7,3,6]=>1101010=>7
[6,4,2,5,7,3,8,1]=>1100101=>6
[5,7,8,4,2,3,6,1]=>0011001=>2
[6,4,5,2,8,3,7,1]=>1010101=>4
[6,5,2,4,3,8,7,1]=>1101011=>5
[6,5,3,4,1,8,2,7]=>1101010=>7
[6,4,5,3,8,1,2,7]=>1010100=>7
[5,6,4,8,3,1,2,7]=>0101100=>3
[7,2,4,6,3,8,5,1]=>1001011=>4
[2,8,3,7,6,1,5,4]=>0101101=>2
[5,4,2,6,8,7,3,1]=>1100111=>4
[3,7,2,5,8,6,4,1]=>0100111=>2
[2,4,8,7,6,1,5,3]=>0011101=>1
[3,2,8,7,4,6,5,1]=>1011011=>3
[8,2,6,5,1,4,3,7]=>1011010=>6
[4,8,5,2,7,6,3,1]=>0110111=>1
[2,8,6,5,7,1,3,4]=>0110100=>4
[3,8,4,7,2,1,6,5]=>0101101=>2
[4,8,5,1,7,6,3,2]=>0110111=>1
[5,8,1,7,6,2,3,4]=>0101100=>3
[3,4,6,2,5,7,1,8]=>0010010=>3
[1,7,5,2,6,8,3,4]=>0110010=>4
[5,1,7,2,4,6,3,8]=>1010010=>6
[6,8,2,1,3,4,7,5]=>0110001=>4
[5,2,1,7,6,4,3,8]=>1101110=>6
[7,4,8,3,6,5,1,2]=>1010110=>5
[6,4,8,5,1,7,2,3]=>1011010=>6
[5,2,8,1,3,6,7,4]=>1010001=>6
[6,3,2,7,4,5,8,1]=>1101001=>6
[7,4,3,8,5,6,1,2]=>1101010=>7
[6,2,1,8,7,4,5,3]=>1101101=>5
[6,2,1,8,7,3,5,4]=>1101101=>5
[5,2,1,7,6,3,4,8]=>1101100=>7
[4,2,6,8,5,7,1,3]=>1001010=>5
[8,6,4,3,2,7,5,1]=>1111011=>5
[1,3,4,7,8,2,6,5]=>0000101=>1
[1,5,4,3,8,7,2,6]=>0110110=>3
[1,2,5,8,4,3,6,7]=>0001100=>3
[1,5,8,2,6,4,3,7]=>0010110=>2
[10,9,8,6,4,2,1,3,5,7]=>111111000=>9
[10,8,7,6,4,2,1,3,5,9]=>111111000=>9
[10,7,9,6,4,2,1,3,8,5]=>101111001=>5
[10,9,8,7,6,4,2,1,3,5]=>111111100=>9
[10,8,6,5,4,2,1,3,7,9]=>111111000=>9
[10,9,8,6,5,4,2,1,3,7]=>111111100=>9
[10,8,5,7,4,2,1,6,3,9]=>110111010=>8
[10,5,9,7,4,2,1,6,8,3]=>101111001=>5
[10,9,8,5,7,4,2,1,6,3]=>111011101=>7
[10,8,7,6,5,4,2,1,3,9]=>111111100=>9
[10,7,9,6,5,4,2,1,8,3]=>101111101=>4
[10,6,9,8,5,7,2,1,4,3]=>101101101=>6
[10,8,6,4,3,2,1,5,7,9]=>111111000=>9
[10,9,8,6,4,3,2,1,5,7]=>111111100=>9
[10,8,7,6,4,3,2,1,5,9]=>111111100=>9
[10,7,9,6,4,3,2,1,8,5]=>101111101=>4
[10,8,6,3,5,2,4,1,7,9]=>111010100=>9
[10,9,8,6,3,5,2,4,1,7]=>111101010=>9
[10,8,3,7,5,2,4,6,1,9]=>110110010=>9
[10,3,9,7,5,2,4,6,8,1]=>101110001=>6
[10,9,8,3,7,5,2,4,6,1]=>111011001=>8
[10,8,7,6,3,5,2,4,1,9]=>111101010=>9
[10,7,9,6,3,5,2,4,8,1]=>101101001=>7
[10,9,3,8,6,5,2,7,4,1]=>110111011=>5
[10,9,8,7,6,3,5,2,4,1]=>111110101=>8
[10,8,6,5,4,3,2,1,7,9]=>111111100=>9
[10,8,5,7,4,3,2,6,1,9]=>110111010=>8
[10,5,9,7,4,3,2,6,8,1]=>101111001=>5
[10,9,8,5,7,4,3,2,6,1]=>111011101=>7
[10,8,4,7,6,3,5,2,1,9]=>110110110=>9
[10,4,9,7,6,3,5,2,8,1]=>101110101=>6
[10,4,9,6,8,3,5,7,2,1]=>101010011=>7
[10,9,8,4,7,6,3,5,2,1]=>111011011=>7
[10,7,9,6,5,4,3,2,8,1]=>101111101=>4
[10,6,9,8,5,4,3,7,2,1]=>101111011=>4
[10,5,9,8,7,4,6,3,2,1]=>101110111=>3
[12,11,10,9,8,7,6,5,4,2,1,3]=>11111111110=>11
[12,11,10,9,8,7,6,4,3,2,1,5]=>11111111110=>11
[12,11,10,9,8,6,5,4,3,2,1,7]=>11111111110=>11
[12,11,10,8,7,6,5,4,3,2,1,9]=>11111111110=>11
[3,5,6,2,4,7,8,1]=>0010001=>2
[3,5,6,7,2,4,8,1]=>0001001=>1
[3,5,7,6,8,2,4,1]=>0010101=>1
[3,5,7,2,6,8,4,1]=>0010011=>1
[3,5,2,7,6,8,4,1]=>0101011=>1
[3,5,7,4,2,6,8,1]=>0011001=>2
[3,5,4,7,2,6,8,1]=>0101001=>3
[3,4,5,7,2,6,8,1]=>0001001=>1
[3,4,5,7,2,8,6,1]=>0001011=>1
[3,5,4,7,8,2,6,1]=>0100101=>2
[3,5,4,7,2,8,6,1]=>0101011=>1
[3,2,5,7,4,8,6,1]=>1001011=>4
[3,5,7,4,2,8,6,1]=>0011011=>1
[3,5,7,8,4,2,6,1]=>0001101=>1
[2,3,5,7,8,4,6,1]=>0000101=>1
[3,5,2,7,8,6,4,1]=>0100111=>2
[3,5,7,8,2,6,4,1]=>0001011=>1
[3,5,7,8,6,2,4,1]=>0001101=>1
[3,2,5,6,7,8,9,1,4]=>10000010=>7
[4,2,5,6,7,3,8,1]=>1000101=>5
[4,2,5,6,7,8,9,3,1]=>10000011=>6
[8,6,1,4,3,5,2,7]=>1101010=>7
[6,1,8,4,3,5,2,7]=>1011010=>6
[5,1,6,4,8,2,3,7]=>1010100=>7
[8,1,4,2,5,3,6,7]=>1010100=>7
[2,8,4,1,5,3,6,7]=>0110100=>4
[8,4,1,3,5,2,6,7]=>1100100=>7
[4,1,8,3,5,2,6,7]=>1010100=>7
[8,3,1,2,5,4,6,7]=>1100100=>7
[3,1,8,2,5,4,6,7]=>1010100=>7
[4,2,5,1,8,7,6,3]=>1010111=>3
[5,2,4,8,1,7,6,3]=>1001011=>4
[7,3,2,4,6,8,1,5]=>1100010=>7
[1,4,8,6,7,2,5,3]=>0010101=>1
[1,4,5,7,3,8,2,6]=>0001010=>2
[4,6,8,1,2,5,3,7]=>0010010=>3
[3,5,6,8,2,1,4,7]=>0001100=>3
[8,2,5,4,1,3,7,6]=>1011001=>5
[2,4,5,8,6,3,1,7]=>0001110=>2
[5,4,8,2,3,1,7,6]=>1010101=>4
[4,7,5,8,2,3,1,6]=>0101010=>4
[4,6,7,5,1,8,3,2]=>0011011=>1
[1,7,3,6,5,8,2,4]=>0101010=>4
[8,3,4,2,6,7,1,5]=>1010010=>6
[7,5,3,8,6,2,1,4]=>1101110=>6
[7,3,1,8,2,6,5,4]=>1101011=>5
[4,6,7,5,2,8,3,1]=>0011011=>1
[5,8,7,2,4,3,1,6]=>0110110=>3
[5,1,2,8,6,7,3,4]=>1001010=>5
[2,5,7,8,6,1,4,3]=>0001101=>1
[7,2,6,8,4,5,1,3]=>1001010=>5
[5,1,7,6,8,2,3,4]=>1010100=>7
[1,7,6,2,4,3,8,5]=>0110101=>3
[7,1,6,2,4,5,3,8]=>1010010=>6
[5,7,1,6,2,3,4,8]=>0101000=>5
[6,2,5,8,3,4,1,7]=>1001010=>5
[5,6,8,7,1,3,2,4]=>0011010=>2
[1,5,3,4,8,2,6,7]=>0100100=>5
[2,1,3,6,5,8,4,7]=>1001010=>5
[2,8,6,5,7,4,3,1]=>0110111=>1
[2,8,6,5,7,4,1,3]=>0110110=>3
[6,5,2,7,4,3,1,8]=>1101110=>6
[6,5,2,8,4,3,7,1]=>1101101=>5
[7,5,8,3,4,2,1,6]=>1010110=>5
[7,6,8,5,2,4,1,3]=>1011010=>6
[5,3,7,2,4,1,8,6]=>1010101=>4
[5,1,2,8,6,3,7,4]=>1001101=>4
[6,1,5,7,2,4,3,8]=>1001010=>5
[4,1,8,2,6,5,7,3]=>1010101=>4
[6,1,4,7,8,5,3,2]=>1000111=>4
[6,1,5,7,8,4,2,3]=>1000110=>5
[4,6,1,5,7,2,8,3]=>0100101=>2
[2,5,8,4,6,3,7,1]=>0010101=>1
[4,3,7,1,2,6,8,5]=>1010001=>6
[8,1,6,5,2,7,4,3]=>1011011=>3
[6,8,1,5,2,7,4,3]=>0101011=>1
[4,5,8,2,3,7,6,1]=>0010011=>1
[5,6,2,7,4,8,3,1]=>0101011=>1
[1,7,3,2,4,8,6,5]=>0110011=>2
[4,3,1,8,2,6,7,5]=>1101001=>6
[4,8,1,3,2,5,7,6]=>0101001=>3
[1,7,5,3,8,6,2,4]=>0110110=>3
[2,5,3,8,1,4,7,6]=>0101001=>3
[4,2,5,8,1,3,7,6]=>1001001=>5
[8,1,2,4,3,5,7,6]=>1001001=>5
[2,4,3,8,1,5,7,6]=>0101001=>3
[3,1,7,4,8,6,5,2]=>1010111=>3
[6,4,5,3,2,8,7,1]=>1011011=>3
[2,7,3,8,5,1,6,4]=>0101101=>2
[8,7,3,2,5,6,4,1]=>1110011=>5
[3,1,8,2,6,5,4,7]=>1010110=>5
[7,6,2,8,1,4,5,3]=>1101001=>6
[2,3,8,4,1,5,7,6]=>0011001=>2
[8,4,2,3,1,5,7,6]=>1101001=>6
[8,2,3,4,1,5,7,6]=>1001001=>5
[7,1,6,2,4,8,3,5]=>1010010=>6
[2,7,8,1,4,3,6,5]=>0010101=>1
[6,5,8,1,3,2,4,7]=>1010100=>7
[2,1,8,5,3,4,6,7]=>1011000=>6
[8,4,1,3,2,5,6,7]=>1101000=>7
[8,6,1,2,3,5,4,7]=>1100010=>7
[7,8,1,5,2,4,6,3]=>0101001=>3
[2,8,6,3,1,5,4,7]=>0111010=>3
[5,7,2,8,4,1,6,3]=>0101101=>2
[2,5,6,3,8,1,4,7]=>0010100=>3
[1,3,4,5,6,7,2,8,9]=>00000100=>3
[7,4,5,6,8,1,3,2]=>1000101=>5
[7,6,8,1,4,5,3,2]=>1010011=>5
[7,5,1,8,4,6,3,2]=>1101011=>5
[1,7,8,5,6,4,3,2]=>0010111=>1
[2,8,1,7,4,5,3,6]=>0101010=>4
[7,3,6,2,5,4,8,1]=>1010101=>4
[1,6,2,3,5,8,4,7]=>0100010=>4
[1,8,5,6,4,3,7,2]=>0101101=>2
[2,6,8,4,5,1,7,3]=>0010101=>1
[4,6,5,7,8,1,3,2]=>0100101=>2
[2,5,8,6,4,7,1,3]=>0011010=>2
[5,3,2,1,7,8,4,6]=>1110010=>7
[8,4,1,3,6,7,2,5]=>1100010=>7
[1,6,5,3,8,4,7,2]=>0110101=>3
[7,6,2,3,5,1,4,8]=>1100100=>7
[6,2,5,3,4,8,1,7]=>1010010=>6
[6,2,5,3,4,8,7,1]=>1010011=>5
[2,6,5,3,4,8,1,7]=>0110010=>4
[5,3,4,8,1,7,2,6]=>1001010=>5
[5,1,3,4,8,7,2,6]=>1000110=>5
[1,5,3,4,8,7,2,6]=>0100110=>3
[5,1,3,8,4,7,6,2]=>1001011=>4
[5,3,8,1,4,7,6,2]=>1010011=>5
[4,3,5,8,1,7,6,2]=>1001011=>4
[3,6,5,4,8,1,2,7]=>0110100=>4
[3,6,5,4,8,2,7,1]=>0110101=>3
[3,5,2,4,8,7,6,1]=>0100111=>2
[2,5,3,6,8,4,1,7]=>0100110=>3
[4,6,2,5,1,7,8,3]=>0101001=>3
[2,3,1,7,4,8,6,5]=>0101011=>1
[2,3,8,7,6,4,1,5]=>0011110=>2
[2,6,3,7,4,1,5,8]=>0101100=>3
[7,5,2,3,1,6,4,8]=>1101010=>7
[1,8,3,6,4,2,7,5]=>0101101=>2
[2,1,7,4,8,5,3,6]=>1010110=>5
[8,1,7,3,2,5,4,6]=>1011010=>6
[7,8,5,2,6,4,3,1]=>0110111=>1
[4,2,8,1,3,6,7,5]=>1010001=>6
[8,1,2,5,7,4,6,3]=>1000101=>5
[7,4,6,3,1,2,5,8]=>1011000=>6
[6,4,1,3,7,2,5,8]=>1100100=>7
[8,2,5,3,6,1,4,7]=>1010100=>7
[3,7,5,1,4,6,2,8]=>0110010=>4
[6,8,7,4,1,5,2,3]=>0111010=>3
[8,6,4,7,5,1,3,2]=>1101101=>5
[6,1,2,4,7,8,3,5]=>1000010=>6
[2,4,6,5,7,1,8,3]=>0010101=>1
[3,2,8,9,10,1,4,5,6,7]=>100010000=>9
[4,2,6,7,8,5,3,1]=>1000111=>4
[6,2,4,7,8,5,3,1]=>1000111=>4
[3,5,2,1,7,8,6,4]=>0110011=>2
[4,2,7,8,6,5,1,3]=>1001110=>4
[1,2,7,8,6,4,5,3]=>0001101=>1
[4,8,1,2,6,5,3,7]=>0100110=>3
[7,1,6,3,2,4,8,5]=>1011001=>5
[6,4,8,1,2,3,7,5]=>1010001=>6
[7,4,1,3,6,8,5,2]=>1100011=>5
[5,2,7,1,4,6,3,8]=>1010010=>6
[6,3,8,5,7,1,4,2]=>1010101=>4
[2,4,3,8,5,7,1,6]=>0101010=>4
[2,8,3,1,4,6,5,7]=>0110010=>4
[4,5,7,6,1,3,8,2]=>0011001=>2
[3,7,1,6,5,8,2,4]=>0101010=>4
[7,4,3,6,8,2,1,5]=>1100110=>6
[3,8,5,4,7,6,1,2]=>0110110=>3
[1,4,6,8,7,3,5,2]=>0001101=>1
[4,6,5,1,3,8,7,2]=>0110011=>2
[5,4,6,2,1,8,7,3]=>1011011=>3
[3,2,8,5,1,4,6,7]=>1011000=>6
[3,5,4,1,2,8,6,7]=>0110010=>4
[5,3,8,1,4,2,6,7]=>1010100=>7
[5,3,8,1,4,2,7,6]=>1010101=>4
[1,4,7,5,8,6,2,3]=>0010110=>2
[8,5,7,6,3,4,1,2]=>1011010=>6
[7,5,2,6,1,4,8,3]=>1101001=>6
[2,4,5,1,8,3,7,6]=>0010101=>1
[7,2,8,5,3,4,1,6]=>1011010=>6
[6,4,5,3,1,7,8,2]=>1011001=>5
[7,3,5,6,4,1,8,2]=>1001101=>4
[1,4,7,6,8,5,2,3]=>0010110=>2
[2,3,4,7,8,9,1,5,6]=>00000100=>3
[2,3,6,7,8,9,1,4,5]=>00000100=>3
[2,5,6,7,8,9,1,3,4]=>00000100=>3
[2,3,4,5,1,9,6,7,8]=>00010100=>3
[2,3,4,1,8,9,5,6,7]=>00100100=>4
[2,3,4,5,8,9,10,1,6,7]=>000000100=>3
[2,3,1,7,8,9,4,5,6]=>01000100=>6
[2,3,4,7,8,9,10,1,5,6]=>000000100=>3
[2,1,6,7,8,9,3,4,5]=>10000100=>7
[2,3,6,7,8,9,10,1,4,5]=>000000100=>3
[2,5,6,7,8,9,10,1,3,4]=>000000100=>3
[2,5,6,3,4,1,8,7]=>0010101=>1
[4,6,2,1,5,8,3,7]=>0110010=>4
[4,6,7,2,3,8,5,1]=>0010011=>1
[4,5,3,7,8,1,2,6]=>0100100=>5
[2,3,5,8,1,6,4,7]=>0001010=>2
[1,7,4,5,8,3,6,2]=>0100101=>2
[2,8,5,6,3,1,4,7]=>0101100=>3
[4,8,2,6,1,5,7,3]=>0101001=>3
[2,3,7,8,1,5,4,6]=>0001010=>2
[5,2,6,7,8,3,1,4]=>1000110=>5
[5,6,2,7,8,3,1,4]=>0100110=>3
[2,3,7,5,8,4,6,1]=>0010101=>1
[3,7,8,5,1,4,6,2]=>0011001=>2
[2,5,6,7,1,8,4,3]=>0001011=>1
[8,5,3,6,4,2,1,7]=>1101110=>6
[6,4,7,8,1,2,5,3]=>1001001=>5
[7,5,8,1,2,3,6,4]=>1010001=>6
[1,2,8,7,4,6,5,3]=>0011011=>1
[5,1,4,8,7,3,6,2]=>1001101=>4
[4,3,1,8,7,5,6,2]=>1101101=>5
[4,3,2,7,6,1,5,8]=>1101100=>7
[7,2,6,5,3,1,4,8]=>1011100=>5
[1,3,7,6,2,4,8,5]=>0011001=>2
[1,3,8,2,7,4,6,5]=>0010101=>1
[8,2,7,1,6,4,3,5]=>1010110=>5
[4,3,2,8,1,7,5,6]=>1101010=>7
[7,5,4,1,6,3,8,2]=>1110101=>6
[1,6,5,3,2,4,8,7]=>0111001=>3
[1,7,3,5,2,4,8,6]=>0101001=>3
[4,3,7,2,5,1,6,8]=>1010100=>7
[5,1,4,3,2,6,8,7]=>1011001=>5
[7,2,1,3,5,4,6,8]=>1100100=>7
[8,3,7,5,4,2,6,1]=>1011101=>4
[1,6,8,7,5,2,3,4]=>0011100=>3
[4,3,6,1,8,5,2,7]=>1010110=>5
[1,3,6,2,5,4,8,7]=>0010101=>1
[1,4,8,7,3,6,2,5]=>0011010=>2
[1,2,7,3,8,4,9,5,10,6]=>001010101=>1
[4,5,7,6,3,1,8,2]=>0011101=>1
[4,6,7,5,1,3,8,2]=>0011001=>2
[3,6,5,1,4,7,8,2]=>0110001=>4
[4,6,7,3,1,5,8,2]=>0011001=>2
[5,4,1,8,7,3,6,2]=>1101101=>5
[6,2,4,7,5,3,1,8]=>1001110=>4
[6,2,5,1,8,7,3,4]=>1010110=>5
[3,2,6,1,5,8,7,4]=>1010011=>5
[4,2,3,6,7,5,1,8]=>1000110=>5
[6,2,3,5,7,4,1,8]=>1000110=>5
[1,6,3,8,4,7,2,5]=>0101010=>4
[8,1,5,2,4,7,3,6]=>1010010=>6
[7,5,8,1,4,2,3,6]=>1010100=>7
[4,1,2,3,6,5,8,7,9]=>10001010=>6
[4,1,2,3,6,5,8,7,10,9]=>100010101=>6
[4,1,6,2,3,5,8,7,9]=>10100010=>7
[1,3,4,8,5,6,2,7]=>0001010=>2
[3,2,7,1,8,6,5,4]=>1010111=>3
[1,3,8,5,6,7,2,4]=>0010010=>3
[6,2,4,1,5,7,8,3]=>1010001=>6
[5,8,4,1,3,6,7,2]=>0110001=>4
[6,7,2,3,8,1,4,5]=>0100100=>5
[3,2,7,4,8,1,5,6]=>1010100=>7
[5,2,8,1,7,4,6,3]=>1010101=>4
[2,5,4,7,3,1,8,6]=>0101101=>2
[4,6,3,1,2,5,7,8]=>0110000=>5
[7,4,6,8,3,1,2,5]=>1001100=>6
[8,5,4,7,3,1,2,6]=>1101100=>7
[7,3,2,1,5,4,8,6]=>1110101=>6
[2,5,6,4,8,1,3,7]=>0010100=>3
[5,4,1,6,2,3,7,8]=>1101000=>7
[1,3,6,5,2,4,7,8]=>0011000=>4
[6,4,5,1,2,8,7,3]=>1010011=>5
[5,4,1,2,7,6,3,8]=>1100110=>6
[5,8,7,3,1,2,4,6]=>0111000=>4
[2,7,8,1,4,5,3,6]=>0010010=>3
[4,1,2,8,7,3,6,5]=>1001101=>4
[6,1,2,4,3,8,7,5]=>1001011=>4
[3,7,8,1,2,4,6,5]=>0010001=>2
[7,3,4,1,2,6,8,5]=>1010001=>6
[8,4,3,1,2,6,5,7]=>1110010=>7
[3,8,2,7,4,5,1,6]=>0101010=>4
[8,6,2,3,5,4,1,7]=>1100110=>6
[8,2,6,1,3,5,4,7]=>1010010=>6
[8,4,3,7,2,5,6,1]=>1101001=>6
[8,3,1,7,4,5,2,6]=>1101010=>7
[8,2,4,5,1,7,3,6]=>1001010=>5
[6,8,2,4,5,1,7,3]=>0100101=>2
[4,3,8,1,7,5,6,2]=>1010101=>4
[8,4,3,7,1,5,6,2]=>1101001=>6
[8,3,4,7,2,6,5,1]=>1001011=>4
[8,1,3,7,6,4,5,2]=>1001101=>4
[8,3,7,1,4,5,6,2]=>1010001=>6
[8,7,3,6,1,2,5,4]=>1101001=>6
[8,3,7,6,2,4,5,1]=>1011001=>5
[8,7,2,3,6,1,5,4]=>1100101=>6
[8,2,7,1,3,4,6,5]=>1010001=>6
[5,1,8,4,2,3,7,6]=>1011001=>5
[8,2,4,7,3,1,6,5]=>1001101=>4
[8,2,7,6,3,1,4,5]=>1011100=>5
[6,8,1,4,7,3,2,5]=>0100110=>3
[8,5,7,2,6,3,1,4]=>1010110=>5
[5,8,2,7,3,1,6,4]=>0101101=>2
[8,1,2,6,7,5,4,3]=>1000111=>4
[8,4,1,7,5,6,2,3]=>1101010=>7
[8,2,4,7,6,5,1,3]=>1001110=>4
[8,2,7,6,4,5,1,3]=>1011010=>6
[8,4,7,2,3,6,5,1]=>1010011=>5
[8,2,4,7,3,6,5,1]=>1001011=>4
[8,1,7,6,4,5,2,3]=>1011010=>6
[8,1,2,7,6,4,5,3]=>1001101=>4
[8,1,4,7,3,6,5,2]=>1001011=>4
[2,3,1,9,8,7,6,5,4]=>01011111=>1
[3,4,2,1,9,8,7,6,5]=>01101111=>1
[4,5,3,2,1,9,8,7,6]=>01110111=>2
[5,6,4,3,2,1,9,8,7]=>01111011=>2
[6,7,5,4,3,2,1,9,8]=>01111101=>2
[2,8,1,5,3,7,6,4]=>0101011=>1
[1,8,2,4,7,5,6,3]=>0100101=>2
[2,3,8,4,7,1,6,5]=>0010101=>1
[1,8,2,3,5,6,4,7]=>0100010=>4
[1,4,7,6,2,3,5,8]=>0011000=>4
[1,7,6,2,3,8,4,5]=>0110010=>4
[1,8,2,3,7,6,4,5]=>0100110=>3
[1,7,3,8,6,2,5,4]=>0101101=>2
[5,8,2,3,7,4,1,6]=>0100110=>3
[4,2,8,3,7,6,1,5]=>1010110=>5
[1,3,5,6,4,8,2,7]=>0001010=>2
[3,1,7,8,5,2,4,6]=>1001100=>6
[7,1,2,3,4,5,9,6,10,8]=>100000101=>7
[4,6,1,8,2,7,5,3]=>0101011=>1
[6,3,5,2,8,4,7,1]=>1010101=>4
[1,6,3,5,2,8,4,7]=>0101010=>4
[5,4,8,6,3,7,2,1]=>1011011=>3
[6,4,5,8,1,3,7,2]=>1001001=>5
[6,3,5,1,8,4,7,2]=>1010101=>4
[2,6,3,1,5,8,4,7]=>0110010=>4
[2,5,4,8,6,3,1,7]=>0101110=>2
[2,5,4,8,6,3,7,1]=>0101101=>2
[1,2,5,4,8,6,3,7]=>0010110=>2
[6,4,5,8,2,1,7,3]=>1001101=>4
[5,3,4,1,2,6,8,7]=>1010001=>6
[1,4,3,5,2,8,6,7]=>0101010=>4
[1,3,5,4,8,2,6,7]=>0010100=>3
[3,5,4,8,2,6,1,7]=>0101010=>4
[3,6,4,5,1,2,8,7]=>0101001=>3
[4,3,5,1,8,6,2,7]=>1010110=>5
[3,5,4,8,1,6,2,7]=>0101010=>4
[3,4,8,5,6,1,2,7]=>0010100=>3
[3,4,8,5,6,2,1,7]=>0010110=>2
[3,5,4,8,1,6,7,2]=>0101001=>3
[2,4,3,1,5,8,6,7]=>0110010=>4
[1,7,6,2,5,4,8,3]=>0110101=>3
[5,6,1,7,4,3,8,2]=>0101101=>2
[3,1,5,6,4,2,7,8]=>1001100=>6
[8,3,4,1,6,5,7,2]=>1010101=>4
[8,1,6,4,3,5,2,7]=>1011010=>6
[1,3,7,8,2,6,4,5]=>0001010=>2
[2,1,6,5,3,8,7,4]=>1011011=>3
[3,7,5,6,4,2,1,8]=>0101110=>2
[6,1,4,3,7,5,8,2]=>1010101=>4
[3,8,6,4,5,2,7,1]=>0110101=>3
[4,5,8,6,2,3,7,1]=>0011001=>2
[4,6,8,5,3,7,2,1]=>0011011=>1
[4,5,7,2,8,6,3,1]=>0010111=>1
[3,7,4,5,1,6,8,2]=>0101001=>3
[4,6,8,1,2,5,7,3]=>0010001=>2
[4,6,8,5,1,3,7,2]=>0011001=>2
[3,7,4,5,2,8,6,1]=>0101011=>1
[3,7,8,4,6,1,5,2]=>0010101=>1
[4,5,7,2,1,6,8,3]=>0011001=>2
[4,5,1,6,8,3,7,2]=>0100101=>2
[8,3,5,4,6,1,2,7]=>1010100=>7
[3,4,5,6,1,7,2,9,8]=>00010101=>1
[1,7,4,5,2,6,8,3]=>0101001=>3
[1,4,5,9,6,7,2,8,3]=>00010101=>1
[3,4,5,6,7,1,8,2,10,9]=>000010101=>1
[2,4,5,9,6,1,7,3,8]=>00011010=>2
[3,4,5,7,6,1,9,2,8]=>00011010=>2
[1,4,2,6,5,3,8,7]=>0101101=>2
[3,1,5,8,4,6,2,7]=>1001010=>5
[3,5,6,9,7,1,8,2,4]=>00011010=>2
[1,4,8,5,6,2,7,9,3]=>00101001=>2
[1,4,5,6,10,7,8,2,9,3]=>000010101=>1
[2,4,5,6,10,7,1,8,3,9]=>000011010=>2
[3,4,5,6,8,7,1,10,2,9]=>000011010=>2
[2,5,9,6,7,3,1,4,8]=>00101100=>3
[4,1,5,2,7,6,3,9,8]=>10101101=>4
[3,4,1,6,9,5,7,2,8]=>01001010=>4
[8,2,6,3,4,1,5,7]=>1010100=>7
[4,6,5,8,2,1,3,7]=>0101100=>3
[1,4,8,3,5,6,2,7]=>0010010=>3
[1,8,7,4,2,3,6,5]=>0111001=>3
[6,7,9,8,1,3,4,2,5]=>00110010=>3
[9,1,5,2,8,6,3,7,4]=>10101101=>4
[3,5,6,7,10,8,1,9,2,4]=>000011010=>2
[1,7,4,5,2,6,8,9,3]=>01010001=>4
[1,4,5,9,6,7,2,8,10,3]=>000101001=>1
[4,3,1,8,5,7,2,6]=>1101010=>7
[7,3,2,4,8,1,6,5]=>1100101=>6
[3,7,2,4,5,8,1,6]=>0100010=>4
[3,2,7,4,6,1,8,5]=>1010101=>4
[8,3,2,4,6,1,7,5]=>1100101=>6
[8,3,2,4,5,7,1,6]=>1100010=>7
[7,4,6,2,1,3,8,5]=>1011001=>5
[3,6,7,2,4,1,8,5]=>0010101=>1
[5,4,8,7,6,2,3,1]=>1011101=>4
[5,2,3,8,7,1,6,4]=>1001101=>4
[7,5,2,4,1,3,8,6]=>1101001=>6
[7,2,6,8,5,1,3,4]=>1001100=>6
[8,2,3,4,1,6,7,5]=>1001001=>5
[9,2,3,4,5,6,1,8,7]=>10000101=>6
[9,2,3,4,5,1,7,8,6]=>10001001=>6
[9,2,3,4,1,6,7,8,5]=>10010001=>7
[9,2,3,1,5,6,7,8,4]=>10100001=>7
[9,2,1,4,5,6,7,8,3]=>11000001=>7
[10,2,3,4,5,6,7,1,9,8]=>100000101=>7
[5,2,3,4,1,9,6,8,7]=>10010101=>5
[10,2,3,4,5,6,1,8,9,7]=>100001001=>7
[4,2,3,1,9,5,7,8,6]=>10101001=>7
[10,2,3,4,5,1,7,8,9,6]=>100010001=>7
[3,2,1,9,4,6,7,8,5]=>11010001=>7
[10,2,3,4,1,6,7,8,9,5]=>100100001=>8
[2,1,9,3,5,6,7,8,4]=>10100001=>7
[10,2,3,1,5,6,7,8,9,4]=>101000001=>8
[10,2,1,4,5,6,7,8,9,3]=>110000001=>8
[7,4,3,8,1,6,5,2]=>1101011=>5
[6,5,1,4,3,8,7,2]=>1101011=>5
[4,7,6,2,5,8,1,3]=>0110010=>4
[6,3,2,4,5,8,1,7]=>1100010=>7
[2,6,4,5,8,3,1,7]=>0100110=>3
[3,7,4,8,6,2,5,1]=>0101101=>2
[7,3,5,2,8,1,4,6]=>1010100=>7
[1,5,8,7,4,2,3,6]=>0011100=>3
[1,7,2,4,5,8,6,3]=>0100011=>3
[1,4,6,8,7,2,5,3]=>0001101=>1
[1,6,2,7,5,3,4,8]=>0101100=>3
[1,3,7,2,6,4,5,8]=>0010100=>3
[1,7,3,2,8,5,6,4]=>0110101=>3
[1,6,5,2,4,8,3,7]=>0110010=>4
[1,7,3,8,4,2,5,6]=>0101100=>3
[1,6,2,4,7,5,8,3]=>0100101=>2
[1,6,2,7,4,3,8,5]=>0101101=>2
[1,5,8,2,3,6,4,7]=>0010010=>3
[6,8,9,1,2,3,4,5,7]=>00100000=>6
[5,8,9,1,2,3,4,6,7]=>00100000=>6
[2,5,3,6,7,1,4,8]=>0100100=>5
[6,4,1,5,7,2,3,8]=>1100100=>7
[6,4,1,5,7,3,8,2]=>1100101=>6
[1,2,7,3,8,5,6,4]=>0010101=>1
[7,4,1,6,3,8,2,5]=>1101010=>7
[1,5,7,4,3,8,6,2]=>0011011=>1
[2,7,3,1,4,5,8,6]=>0110001=>4
[2,3,4,5,1,7,6,9,8]=>00010101=>1
[2,3,4,1,6,5,8,7,9]=>00101010=>2
[2,3,4,5,6,7,1,9,8,10]=>000001010=>2
[2,3,4,5,1,8,6,9,7]=>00010101=>1
[2,3,4,1,7,5,8,6,9]=>00101010=>2
[2,3,4,5,1,7,6,9,8,10]=>000101010=>2
[6,5,8,3,2,7,1,4]=>1011010=>6
[8,4,3,1,7,6,5,2]=>1110111=>4
[1,2,6,7,5,3,4,8]=>0001100=>3
[1,2,6,8,7,4,5,3]=>0001101=>1
[3,4,5,6,7,9,1,8,2]=>00000101=>1
[3,4,5,6,8,2,7,1]=>0000101=>1
[3,4,5,6,7,8,10,1,9,2]=>000000101=>1
[3,4,5,6,7,9,2,8,1]=>00000101=>1
[3,4,5,6,7,1,9,8,2]=>00001011=>1
[7,2,1,4,5,6,3,8]=>1100010=>7
[1,5,6,7,3,4,2,8]=>0001010=>2
[4,6,8,5,2,1,7,3]=>0011101=>1
[1,6,7,8,2,4,5,3]=>0001001=>1
[4,7,8,2,1,3,5,6]=>0011000=>4
[5,7,8,3,2,4,6,1]=>0011001=>2
[5,7,8,2,3,1,6,4]=>0010101=>1
[5,3,4,2,1,9,8,7,6]=>10110111=>3
[6,5,3,4,2,1,9,8,7]=>11011011=>5
[7,6,4,5,3,2,1,9,8]=>11011101=>6
[4,5,2,7,8,6,1,3]=>0100110=>3
[1,3,5,8,7,2,6,4]=>0001101=>1
[6,4,1,8,5,7,3,2]=>1101011=>5
[4,1,3,8,7,5,2,6]=>1001110=>4
[8,5,1,6,7,2,4,3]=>1100101=>6
[3,6,7,2,1,5,8,4]=>0011001=>2
[2,5,6,1,3,8,7,4]=>0010011=>1
[7,2,5,6,1,3,8,4]=>1001001=>5
[6,4,1,2,5,8,3,7]=>1100010=>7
[4,6,3,5,7,1,8,2]=>0100101=>2
[4,7,3,5,2,6,8,1]=>0101001=>3
[2,3,5,4,7,1,8,6]=>0010101=>1
[6,8,4,1,5,7,3,2]=>0110011=>2
[8,1,6,2,3,7,5,4]=>1010011=>5
[7,8,9,6,1,2,3,4,10,5]=>001100001=>4
[2,8,9,10,7,1,3,4,5,6]=>000110000=>5
[8,9,7,5,6,1,2,3,10,4]=>011010001=>5
[2,9,10,8,6,7,1,3,4,5]=>001101000=>4
[7,8,9,5,1,2,3,4,10,6]=>001100001=>4
[7,8,9,1,6,2,3,4,10,5]=>001010001=>3
[2,8,9,10,6,1,3,4,5,7]=>000110000=>5
[2,8,9,10,1,7,3,4,5,6]=>000101000=>4
[2,8,3,6,4,1,7,5]=>0101101=>2
[6,5,3,4,8,2,1,7]=>1100110=>6
[5,4,8,7,3,6,2,1]=>1011011=>3
[3,4,5,1,2,6,7,8,9]=>00100000=>6
[5,2,7,6,8,3,4,1]=>1010101=>4
[8,4,5,2,7,3,6,1]=>1010101=>4
[6,3,7,4,5,2,8,1]=>1010101=>4
[7,3,4,2,8,5,6,1]=>1010101=>4
[4,3,6,5,8,2,7,1]=>1010101=>4
[8,2,7,4,5,3,6,1]=>1010101=>4
[7,2,8,4,5,3,6,1]=>1010101=>4
[6,3,8,2,7,4,5,1]=>1010101=>4
[3,2,8,4,7,5,6,1]=>1010101=>4
[8,3,6,2,7,4,5,1]=>1010101=>4
[4,2,3,5,6,7,8,9,10,1]=>100000001=>8
[1,7,8,4,3,6,5,2]=>0011011=>1
[1,7,8,3,6,5,4,2]=>0010111=>1
[6,4,5,8,7,2,1,3]=>1001110=>4
[5,8,1,7,2,4,3,6]=>0101010=>4
[2,5,7,3,8,1,4,6]=>0010100=>3
[8,3,5,2,1,6,7,4]=>1011001=>5
[2,6,4,7,1,8,5,3]=>0101011=>1
[1,6,5,7,3,8,2,4]=>0101010=>4
[1,8,5,3,7,6,2,4]=>0110110=>3
[6,4,2,3,8,7,5,1]=>1100111=>4
[6,1,4,2,7,8,3,5]=>1010010=>6
[6,5,1,3,7,8,4,2]=>1100011=>5
[5,1,3,2,7,8,6,4]=>1010011=>5
[6,7,4,2,3,8,5,1]=>0110011=>2
[5,8,7,3,2,4,6,1]=>0111001=>3
[5,1,3,2,6,8,4,7]=>1010010=>6
[5,7,1,4,6,8,2,3]=>0100010=>4
[2,4,1,7,5,6,3,8]=>0101010=>4
[1,4,3,7,6,2,8,5]=>0101101=>2
[1,6,2,5,7,3,8,4]=>0100101=>2
[1,4,3,8,2,5,7,6]=>0101001=>3
[1,5,7,3,6,4,2,8]=>0010110=>2
[1,6,7,2,4,8,3,5]=>0010010=>3
[3,7,2,8,4,1,5,6]=>0101100=>3
[2,4,1,5,3,6,8,7,9]=>01010010=>5
[2,4,1,7,3,8,5,6,9]=>01010100=>5
[5,3,4,1,7,8,6,2]=>1010011=>5
[4,7,6,5,8,2,3,1]=>0110101=>3
[2,3,8,4,5,7,1,6]=>0010010=>3
[4,1,8,3,2,6,5,7]=>1011010=>6
[1,2,6,8,4,3,5,7]=>0001100=>3
[7,2,6,3,1,8,4,5]=>1011010=>6
[5,8,4,1,3,7,2,6]=>0110010=>4
[3,4,2,1,6,8,5,7]=>0110010=>4
[8,1,3,5,6,4,7,2]=>1000101=>5
[3,4,7,1,5,6,2,8]=>0010010=>3
[4,8,2,6,5,3,7,1]=>0101101=>2
[4,8,7,2,5,6,1,3]=>0110010=>4
[5,8,6,4,7,3,2,1]=>0110111=>1
[8,5,2,3,1,6,7,4]=>1101001=>6
[2,8,6,3,5,1,7,4]=>0110101=>3
[8,3,2,6,4,1,7,5]=>1101101=>5
[8,4,1,5,3,6,7,2]=>1101001=>6
[8,3,5,1,4,6,7,2]=>1010001=>6
[8,5,1,3,4,6,7,2]=>1100001=>6
[3,8,6,2,5,4,7,1]=>0110101=>3
[3,8,4,6,5,2,7,1]=>0101101=>2
[8,1,7,4,2,5,3,6]=>1011010=>6
[8,3,2,5,1,4,7,6]=>1101001=>6
[8,4,5,1,2,6,7,3]=>1010001=>6
[8,1,5,3,2,6,7,4]=>1011001=>5
[8,1,5,2,4,6,7,3]=>1010001=>6
[5,2,6,4,1,3,8,7]=>1011001=>5
[7,1,3,5,2,8,6,4]=>1001011=>4
[8,6,4,7,1,3,5,2]=>1101001=>6
[6,8,4,3,2,1,7,5]=>0111101=>2
[2,1,8,5,4,3,7,6]=>1011101=>4
[6,2,8,5,4,1,3,7]=>1011100=>5
[6,4,8,5,3,2,7,1]=>1011101=>4
[9,10,6,7,4,5,2,3,1,8]=>010101010=>5
[8,5,4,6,2,7,1,3]=>1101010=>7
[6,8,5,4,7,2,3,1]=>0110101=>3
[2,5,7,3,4,8,1,6]=>0010010=>3
[5,2,4,7,8,1,3,6]=>1000100=>6
[8,5,9,3,6,1,2,4,7]=>10101000=>8
[9,7,1,5,8,3,6,2,4]=>11001010=>8
[9,7,5,4,1,3,8,2,6]=>11110010=>8
[8,9,4,5,10,1,2,3,6,7]=>010010000=>7
[8,4,3,9,10,1,2,5,6,7]=>110010000=>9
[9,6,10,1,3,7,8,2,4,5]=>101000100=>9
[9,10,6,7,4,5,1,2,3,8]=>010101000=>6
[9,6,4,10,3,7,1,2,5,8]=>110101000=>9
[10,1,8,9,6,7,4,5,2,3]=>100101010=>6
[10,8,6,1,4,9,3,7,2,5]=>111001010=>9
[10,8,6,5,4,1,3,9,2,7]=>111110010=>9
[10,8,7,6,5,4,3,1,2,9]=>111111100=>9
[4,8,5,6,1,2,7,3]=>0101001=>3
[2,5,6,8,7,1,4,3]=>0001101=>1
[1,7,8,5,4,6,2,3]=>0011010=>2
[4,6,8,1,5,2,7,3]=>0010101=>1
[5,3,8,1,2,6,7,4]=>1010001=>6
[8,2,3,6,4,1,7,5]=>1001101=>4
[2,3,7,5,8,6,1,4]=>0010110=>2
[3,8,5,1,2,4,7,6]=>0110001=>4
[1,3,6,4,8,2,7,5]=>0010101=>1
[1,2,3,4,6,5,7,8,9,10]=>000010000=>5
[1,2,3,4,5,6,8,7,9,10]=>000000100=>3
[1,7,6,2,8,5,3,4]=>0110110=>3
[1,5,8,6,4,7,2,3]=>0011010=>2
[5,6,2,8,1,7,3,4]=>0101010=>4
[6,8,4,5,1,3,7,2]=>0101001=>3
[5,2,3,8,1,4,6,7]=>1001000=>7
[1,6,8,3,2,4,5,7]=>0011000=>4
[9,6,5,4,3,2,1,7,8]=>11111100=>8
[10,7,6,5,4,3,2,1,8,9]=>111111100=>9
[9,8,5,4,3,2,1,6,7]=>11111100=>8
[8,6,5,2,4,3,7,1]=>1110101=>6
[6,2,5,3,7,4,8,1]=>1010101=>4
[8,5,4,2,6,3,7,1]=>1110101=>6
[8,5,3,2,6,4,7,1]=>1110101=>6
[7,4,6,5,8,2,3,1]=>1010101=>4
[7,3,6,5,8,2,4,1]=>1010101=>4
[7,3,6,4,8,2,5,1]=>1010101=>4
[7,3,5,4,8,2,6,1]=>1010101=>4
[7,3,6,8,4,5,1,2]=>1001010=>5
[1,6,5,7,4,2,8,3]=>0101101=>2
[1,2,7,4,8,5,6,3]=>0010101=>1
[2,6,7,4,8,5,1,3]=>0010110=>2
[2,5,8,6,4,3,7,1]=>0011101=>1
[6,4,2,5,7,1,8,3]=>1100101=>6
[2,7,5,4,6,8,1,3]=>0110010=>4
[9,1,2,3,4,5,8,7,6]=>10000011=>6
[9,1,2,3,4,8,6,7,5]=>10000101=>6
[8,1,4,7,3,5,6,2]=>1001001=>5
[9,1,2,8,4,5,6,7,3]=>10010001=>7
[8,3,7,2,4,5,6,1]=>1010001=>6
[9,1,8,3,4,5,6,7,2]=>10100001=>7
[10,1,2,3,4,5,6,9,8,7]=>100000011=>7
[9,1,2,3,4,7,8,6,5]=>10000011=>6
[10,1,2,3,4,5,9,7,8,6]=>100000101=>7
[9,1,2,3,6,8,5,7,4]=>10000101=>6
[9,1,2,5,8,4,6,7,3]=>10001001=>6
[10,1,2,3,9,5,6,7,8,4]=>100010001=>7
[8,1,4,5,7,3,6,2]=>1000101=>5
[9,1,4,8,3,5,6,7,2]=>10010001=>7
[10,1,2,9,4,5,6,7,8,3]=>100100001=>8
[9,3,8,2,4,5,6,7,1]=>10100001=>7
[5,6,3,4,2,8,7,1]=>0101011=>1
[2,5,7,4,6,8,1,3]=>0010010=>3
[2,5,6,4,1,3,8,7]=>0011001=>2
[4,6,1,3,5,7,2,8]=>0100010=>4
[3,2,7,5,8,1,6,4]=>1010101=>4
[4,3,6,8,5,2,1,7]=>1001110=>4
[4,5,3,2,1,8,6,7]=>0111010=>3
[3,6,5,8,1,7,4,2]=>0101011=>1
[4,1,6,8,5,2,3,7]=>1001100=>6
[4,5,2,8,6,7,1,3]=>0101010=>4
[4,5,2,8,6,7,3,1]=>0101011=>1
[3,5,8,6,2,4,7,1]=>0011001=>2
[2,5,1,6,4,8,3,7]=>0101010=>4
[3,2,4,5,8,6,1,7]=>1000110=>5
[4,5,2,1,3,8,6,7]=>0110010=>4
[4,2,3,6,8,5,1,7]=>1000110=>5
[4,5,1,3,2,8,6,7]=>0101010=>4
[3,4,5,8,6,1,7,2]=>0001101=>1
[3,4,5,8,6,1,2,7]=>0001100=>3
[6,4,1,3,7,8,2,5]=>1100010=>7
[6,3,1,2,5,4,8,7]=>1100101=>6
[7,3,1,2,5,4,8,6]=>1100101=>6
[8,2,6,4,1,3,7,5]=>1011001=>5
[1,5,8,2,4,3,7,6]=>0010101=>1
[4,3,7,8,2,6,5,1]=>1001011=>4
[3,8,5,1,2,6,7,4]=>0110001=>4
[2,4,7,8,3,6,5,1]=>0001011=>1
[5,4,7,8,3,6,1,2]=>1001010=>5
[6,8,1,3,2,5,7,4]=>0101001=>3
[1,4,8,5,7,2,3,6]=>0010100=>3
[1,8,7,3,2,4,5,6]=>0111000=>4
[8,6,2,7,3,4,1,5]=>1101010=>7
[8,6,2,7,3,4,5,1]=>1101001=>6
[5,6,3,2,8,7,1,4]=>0110110=>3
[5,1,6,7,8,3,2,4]=>1000110=>5
[1,5,6,3,7,2,4,8]=>0010100=>3
[1,5,6,7,4,2,3,8]=>0001100=>3
[5,1,6,7,3,4,2,8]=>1001010=>5
[8,6,1,7,3,4,5,2]=>1101001=>6
[6,8,5,1,7,4,2,3]=>0110110=>3
[8,4,2,3,5,7,6,1]=>1100011=>5
[4,8,5,2,3,1,6,7]=>0110100=>4
[5,4,8,3,1,2,6,7]=>1011000=>6
[8,4,7,3,2,5,6,1]=>1011001=>5
[6,8,5,1,7,3,4,2]=>0110101=>3
[6,2,7,3,8,1,4,5]=>1010100=>7
[8,4,2,6,7,1,5,3]=>1100101=>6
[1,7,8,3,6,5,2,4]=>0010110=>2
[4,6,7,5,1,8,2,3]=>0011010=>2
[3,5,2,6,8,7,4,1]=>0100111=>2
[7,3,6,8,4,1,2,5]=>1001100=>6
[6,4,2,3,7,5,8,1]=>1100101=>6
[6,3,7,5,1,2,8,4]=>1011001=>5
[7,2,5,4,8,6,3,1]=>1010111=>3
[6,2,3,8,7,4,5,1]=>1001101=>4
[7,1,2,8,4,6,5,3]=>1001011=>4
[3,5,8,1,2,7,6,4]=>0010011=>1
[1,4,3,6,8,5,2,7]=>0100110=>3
[7,6,2,8,5,3,4,1]=>1101101=>5
[6,8,3,5,4,7,2,1]=>0101011=>1
[8,2,7,6,4,1,3,5]=>1011100=>5
[8,3,7,5,1,6,2,4]=>1011010=>6
[8,5,7,1,4,2,6,3]=>1010101=>4
[4,7,1,5,6,3,2,8]=>0100110=>3
[4,5,7,1,6,3,8,2]=>0010101=>1
[3,9,2,1,4,5,6,7,8]=>01100000=>6
[4,6,5,7,2,3,8,1]=>0101001=>3
[3,6,7,2,5,8,4,1]=>0010011=>1
[5,3,6,7,4,8,1,2]=>1001010=>5
[4,2,7,8,3,6,5,1]=>1001011=>4
[4,2,7,8,5,6,1,3]=>1001010=>5
[5,4,3,7,8,1,6,2]=>1100101=>6
[3,5,7,8,4,2,1,6]=>0001110=>2
[4,6,7,3,2,8,1,5]=>0011010=>2
[4,6,5,3,7,8,1,2]=>0110010=>4
[5,6,2,4,7,8,3,1]=>0100011=>3
[5,6,3,2,8,4,7,1]=>0110101=>3
[5,6,2,8,3,4,7,1]=>0101001=>3
[3,7,4,8,1,6,5,2]=>0101011=>1
[5,2,4,8,6,7,3,1]=>1001011=>4
[5,2,6,4,8,7,3,1]=>1010111=>3
[2,4,7,8,6,5,1,3]=>0001110=>2
[3,4,5,6,8,9,1,7,2]=>00000101=>1
[3,4,6,7,8,9,1,5,2]=>00000101=>1
[3,5,6,7,8,9,1,4,2]=>00000101=>1
[4,5,6,7,8,9,1,3,2]=>00000101=>1
[3,4,5,6,7,9,10,1,8,2]=>000000101=>1
[3,4,5,7,8,9,10,1,6,2]=>000000101=>1
[5,2,6,7,8,1,4,3]=>1000101=>5
[3,4,6,7,8,9,10,1,5,2]=>000000101=>1
[4,5,6,7,8,9,10,1,3,2]=>000000101=>1
[3,1,4,5,6,7,8,9,11,2,10]=>1000000010=>9
[4,8,2,7,5,3,1,6]=>0101110=>2
[1,2,4,6,5,8,3,7]=>0001010=>2
[5,4,2,3,1,7,8,6]=>1101001=>6
[3,5,8,1,7,4,2,6]=>0010110=>2
[5,8,6,1,7,2,3,4]=>0110100=>4
[5,1,4,3,8,2,6,7]=>1010100=>7
[8,4,7,5,6,2,1,3]=>1010110=>5
[3,8,6,7,5,2,4,1]=>0101101=>2
[8,2,5,4,7,3,6,1]=>1010101=>4
[4,2,8,7,3,6,5,1]=>1011011=>3
[3,7,8,6,1,4,5,2]=>0011001=>2
[4,6,7,8,2,1,5,3]=>0001101=>1
[4,7,6,3,8,1,5,2]=>0110101=>3
[3,8,1,4,6,2,5,7]=>0100100=>5
[2,4,5,3,8,7,1,6]=>0010110=>2
[4,7,5,6,2,8,1,3]=>0101010=>4
[8,7,5,1,6,3,2,4]=>1110110=>7
[7,8,6,2,3,5,1,4]=>0110010=>4
[2,8,4,6,7,3,5,1]=>0100101=>2
[4,1,6,7,8,2,5,3]=>1000101=>5
[8,6,3,4,1,2,7,5]=>1101001=>6
[2,5,8,4,6,1,3,7]=>0010100=>3
[4,7,8,6,5,1,3,2]=>0011101=>1
[8,4,6,7,3,5,2,1]=>1001011=>4
[6,8,4,7,3,5,2,1]=>0101011=>1
[7,4,5,8,3,6,2,1]=>1001011=>4
[8,4,7,3,5,6,2,1]=>1010011=>5
[3,6,4,2,8,1,7,5]=>0110101=>3
[8,4,6,2,1,7,3,5]=>1011010=>6
[3,8,6,2,1,7,4,5]=>0111010=>3
[3,1,8,2,4,6,5,7]=>1010010=>6
[8,1,7,6,2,5,4,3]=>1011011=>3
[8,5,4,3,7,6,1,2]=>1110110=>7
[4,8,1,3,6,7,5,2]=>0100011=>3
[3,5,8,6,1,7,4,2]=>0011011=>1
[8,1,4,7,5,2,6,3]=>1001101=>4
[1,4,8,6,7,3,5,2]=>0010101=>1
[4,1,6,7,8,5,3,2]=>1000111=>4
[3,7,8,6,4,1,5,2]=>0011101=>1
[5,4,2,3,6,7,8,9,1]=>11000001=>7
[6,5,4,2,3,7,8,9,1]=>11100001=>7
[7,6,5,4,2,3,8,9,1]=>11110001=>7
[4,6,1,5,7,2,3,8]=>0100100=>5
[4,8,5,3,2,7,1,6]=>0111010=>3
[5,4,8,1,3,7,2,6]=>1010010=>6
[8,4,5,3,1,7,2,6]=>1011010=>6
[7,4,5,3,1,8,6,2]=>1011011=>3
[5,6,8,7,2,4,3,1]=>0011011=>1
[5,7,8,6,4,2,3,1]=>0011101=>1
[6,8,7,5,1,3,2,4]=>0111010=>3
[3,8,2,6,7,5,1,4]=>0100110=>3
[4,7,6,3,8,2,5,1]=>0110101=>3
[6,7,4,1,8,2,5,3]=>0110101=>3
[5,7,6,8,3,2,4,1]=>0101101=>2
[7,6,4,2,8,1,5,3]=>1110101=>6
[6,3,4,8,7,1,2,5]=>1001100=>6
[2,7,4,8,1,6,3,5]=>0101010=>4
[5,3,1,6,7,8,2,4]=>1100010=>7
[3,4,7,8,6,1,2,5]=>0001100=>3
[2,1,4,7,8,6,3,5]=>1000110=>5
[2,4,5,8,1,6,3,7]=>0001010=>2
[3,4,6,8,2,5,7,1]=>0001001=>1
[1,8,5,6,4,2,3,7]=>0101100=>3
[1,8,7,6,2,4,5,3]=>0111001=>3
[6,4,8,5,7,3,1,2]=>1010110=>5
[1,6,4,7,2,5,8,3]=>0101001=>3
[2,7,5,1,8,6,3,4]=>0110110=>3
[4,7,1,6,5,3,8,2]=>0101101=>2
[1,7,5,6,4,8,2,3]=>0101010=>4
[2,4,8,5,7,3,1,6]=>0010110=>2
[8,3,1,4,6,2,7,5]=>1100101=>6
[7,2,6,4,5,8,1,3]=>1010010=>6
[7,2,5,4,6,8,1,3]=>1010010=>6
[4,6,7,8,9,1,2,3,5]=>00001000=>4
[5,7,8,9,1,2,3,4,6]=>00010000=>5
[6,4,5,7,3,8,2,9,1,10]=>100101010=>6
[2,7,1,5,3,8,6,4]=>0101011=>1
[3,5,7,2,8,4,1,6]=>0010110=>2
[2,4,3,8,5,1,7,6]=>0101101=>2
[7,3,2,1,4,8,6,5]=>1110011=>5
[2,8,3,4,1,7,6,5]=>0101011=>1
[4,7,6,8,2,5,3,1]=>0101011=>1
[2,6,7,1,4,5,8,3]=>0010001=>2
[8,7,2,6,1,5,3,4]=>1101010=>7
[7,1,3,8,2,6,4,5]=>1001010=>5
[6,2,5,3,4,7,1,8]=>1010010=>6
[2,7,3,4,1,5,8,6]=>0101001=>3
[2,5,8,1,6,7,3,4]=>0010010=>3
[6,2,8,3,4,5,1,7]=>1010010=>6
[7,3,4,6,8,2,1,5]=>1000110=>5
[5,1,3,7,2,8,4,6]=>1001010=>5
[5,2,4,6,1,7,8,3]=>1001001=>5
[3,8,4,6,1,5,7,2]=>0101001=>3
[8,7,3,2,5,1,6,4]=>1110101=>6
[3,6,4,1,2,5,8,7]=>0110001=>4
[5,2,7,1,4,3,6,8]=>1010100=>7
[6,3,1,4,2,5,8,7]=>1101001=>6
[5,2,3,1,4,6,8,7]=>1010001=>6
[4,2,7,1,3,5,8,6]=>1010001=>6
[3,5,4,1,6,2,8,7]=>0110101=>3
[4,5,7,2,8,3,1,6]=>0010110=>2
[3,5,1,7,6,2,8,4]=>0101101=>2
[8,3,6,2,7,5,4,1]=>1010111=>3
[8,4,2,6,5,3,7,1]=>1101101=>5
[5,4,2,7,1,8,6,3]=>1101011=>5
[4,1,7,6,5,3,2,8]=>1011110=>4
[2,3,6,7,1,8,5,4]=>0001011=>1
[3,6,1,2,7,8,5,4]=>0100011=>3
[4,5,1,8,7,6,3,2]=>0101111=>1
[8,4,5,2,7,6,3,1]=>1010111=>3
[4,1,3,6,7,5,2,8]=>1000110=>5
[3,1,4,5,7,6,2,8]=>1000110=>5
[4,5,1,3,6,8,7,2]=>0100011=>3
[3,8,5,1,2,4,6,7]=>0110000=>5
[8,5,1,2,4,3,6,7]=>1100100=>7
[5,8,4,1,2,3,6,7]=>0110000=>5
[3,5,8,1,4,2,7,6]=>0010101=>1
[2,8,5,7,1,4,3,6]=>0101010=>4
[4,8,7,5,1,2,3,6]=>0111000=>4
[8,1,2,4,6,3,7,5]=>1000101=>5
[7,6,1,4,2,3,8,5]=>1101001=>6
[6,1,2,7,8,4,3,5]=>1000110=>5
[7,8,1,2,5,3,4,6]=>0100100=>5
[1,8,4,7,5,2,3,6]=>0101100=>3
[8,4,7,2,1,6,3,5]=>1011010=>6
[4,5,8,2,1,6,7,3]=>0011001=>2
[7,4,2,5,3,6,1,8]=>1101010=>7
[3,1,6,7,5,2,4,8]=>1001100=>6
[8,4,2,5,3,6,7,1]=>1101001=>6
[4,8,1,5,3,6,7,2]=>0101001=>3
[4,1,7,5,2,6,3,8]=>1011010=>6
[5,1,4,6,3,7,8,2]=>1001001=>5
[7,1,5,3,6,8,2,4]=>1010010=>6
[8,1,5,3,6,7,2,4]=>1010010=>6
[3,6,5,2,4,7,8,1]=>0110001=>4
[1,7,5,4,6,8,2,3]=>0110010=>4
[4,7,8,2,5,6,1,3]=>0010010=>3
[2,8,5,4,6,7,1,3]=>0110010=>4
[7,5,1,3,2,6,4,8,9]=>11010100=>8
[9,6,1,3,4,2,7,8,5]=>11001001=>7
[8,3,6,1,4,2,7,5,9]=>10101010=>8
[9,8,1,7,2,3,4,5,6]=>11010000=>8
[9,3,4,7,1,5,2,8,6]=>10010101=>5
[7,5,1,3,2,6,4,8,9,10]=>110101000=>9
[9,6,1,3,4,2,7,8,5,10]=>110010010=>9
[8,3,6,1,4,2,7,5,9,10]=>101010100=>9
[10,1,8,3,2,5,7,4,9,6]=>101100101=>6
[10,3,7,1,4,5,2,8,9,6]=>101001001=>8
[9,3,4,7,1,5,2,8,6,10]=>100101010=>6
[7,10,1,3,8,2,6,5,9,4]=>010010101=>2
[10,9,5,1,8,2,4,3,6,7]=>111010100=>9
[10,3,4,5,8,1,6,2,9,7]=>100010101=>6
[4,5,2,6,1,8,3,7]=>0101010=>4
[5,1,8,6,7,3,4,2]=>1010101=>4
[6,8,3,2,4,1,5,7]=>0110100=>4
[5,4,8,2,1,3,6,7]=>1011000=>6
[1,4,8,3,2,6,5,7]=>0011010=>2
[1,3,8,4,2,7,5,6]=>0011010=>2
[7,2,8,3,1,4,5,6]=>1011000=>6
[8,1,3,2,7,5,4,6]=>1010110=>5
[9,8,7,5,6,4,3,2,10,1]=>111011101=>7
[8,7,5,4,6,3,2,9,1]=>11101101=>7
[8,7,4,6,5,3,2,9,1]=>11011101=>6
[2,3,4,7,8,9,6,5,1]=>00000111=>1
[2,3,6,7,8,9,5,4,1]=>00000111=>1
[2,5,6,7,8,9,4,3,1]=>00000111=>1
[2,3,4,5,6,1,9,8,7]=>00001011=>1
[2,3,4,5,1,9,8,7,6]=>00010111=>1
[2,3,4,5,6,9,10,8,7,1]=>000000111=>1
[2,3,4,1,8,9,7,6,5]=>00100111=>1
[2,3,4,5,8,9,10,7,6,1]=>000000111=>1
[2,3,1,7,8,9,6,5,4]=>01000111=>3
[2,3,4,7,8,9,10,6,5,1]=>000000111=>1
[2,1,6,7,8,9,5,4,3]=>10000111=>5
[2,3,6,7,8,9,10,5,4,1]=>000000111=>1
[2,5,6,7,8,9,10,4,3,1]=>000000111=>1
[9,10,2,4,6,8,1,3,5,7]=>010001000=>7
[7,8,2,4,6,10,1,3,5,9]=>010001000=>7
[9,7,10,2,4,6,8,1,3,5]=>101000100=>9
[8,9,10,7,2,4,6,1,3,5]=>001100100=>4
[5,6,2,4,8,10,1,3,7,9]=>010001000=>7
[5,6,9,10,2,4,8,1,3,7]=>000100100=>3
[7,5,8,2,4,6,10,1,3,9]=>101000100=>9
[7,9,5,10,2,4,6,8,1,3]=>010100010=>6
[5,8,9,10,7,2,4,6,1,3]=>000110010=>2
[6,7,8,5,2,4,10,1,3,9]=>001100100=>4
[9,6,7,5,10,2,4,8,1,3]=>101010010=>8
[8,9,6,10,5,7,2,4,1,3]=>010101010=>5
[7,8,9,10,6,5,2,4,1,3]=>000111010=>2
[3,4,2,6,8,10,1,5,7,9]=>010001000=>7
[3,4,9,10,2,6,8,1,5,7]=>000100100=>3
[3,4,7,8,2,6,10,1,5,9]=>000100100=>3
[9,3,4,7,10,2,6,8,1,5]=>100010010=>7
[8,9,10,3,4,7,2,6,1,5]=>001001010=>2
[5,3,6,2,4,8,10,1,7,9]=>101000100=>9
[5,3,6,9,10,2,4,8,1,7]=>100010010=>7
[5,7,3,8,2,4,6,10,1,9]=>010100010=>6
[5,7,9,3,10,2,4,6,8,1]=>001010001=>3
[8,5,9,10,3,7,2,4,6,1]=>100101001=>6
[3,6,7,8,5,2,4,10,1,9]=>000110010=>2
[9,3,6,7,5,10,2,4,8,1]=>100101001=>6
[6,8,3,9,10,5,7,2,4,1]=>010010101=>2
[7,8,9,10,3,6,5,2,4,1]=>000101101=>1
[4,5,6,3,2,8,10,1,7,9]=>001100100=>4
[4,5,6,3,9,10,2,8,1,7]=>001001010=>2
[7,4,5,3,8,2,6,10,1,9]=>101010010=>8
[7,4,5,9,3,10,2,6,8,1]=>100101001=>6
[4,8,5,9,10,3,7,2,6,1]=>010010101=>2
[6,7,4,8,3,5,2,10,1,9]=>010101010=>5
[6,7,9,4,3,5,10,2,8,1]=>001100101=>2
[8,6,9,4,10,3,5,7,2,1]=>101010011=>7
[7,4,8,9,10,6,3,5,2,1]=>100011011=>5
[5,6,7,8,4,3,2,10,1,9]=>000111010=>2
[9,5,6,7,4,3,10,2,8,1]=>100110101=>5
[8,9,5,6,4,10,3,7,2,1]=>010101011=>1
[7,8,9,5,10,4,6,3,2,1]=>001010111=>1
[11,5,6,9,12,2,4,8,10,1,3,7]=>10001000100=>9
[7,5,8,11,12,2,4,6,10,1,3,9]=>10001000100=>9
[10,7,11,12,5,9,2,4,6,8,1,3]=>10010100010=>9
[11,5,8,9,7,12,2,4,6,10,1,3]=>10010100010=>9
[9,6,7,11,5,12,2,4,8,10,1,3]=>10010100010=>9
[11,3,4,9,12,2,6,8,10,1,5,7]=>10001000100=>9
[9,3,4,7,10,2,6,8,12,1,5,11]=>10001000100=>9
[11,8,9,3,4,7,12,2,6,10,1,5]=>10100010010=>10
[5,3,6,11,12,2,4,8,10,1,7,9]=>10001000100=>9
[5,3,6,9,10,2,4,8,12,1,7,11]=>10001000100=>9
[8,5,9,10,3,7,2,4,6,12,1,11]=>10010100010=>9
[9,3,6,7,5,10,2,4,8,12,1,11]=>10010100010=>9
[7,4,5,3,8,11,12,2,6,10,1,9]=>10100010010=>10
[7,4,5,9,3,10,2,6,8,12,1,11]=>10010100010=>9
[7,6,1,8,2,5,4,3]=>1101011=>5
[8,4,1,6,7,3,5,2]=>1100101=>6
[5,8,4,2,1,6,3,7]=>0111010=>3
[7,6,4,1,2,5,3,8]=>1110010=>7
[5,4,2,8,1,6,3,7]=>1101010=>7
[8,7,2,6,4,5,3,1]=>1101011=>5
[7,2,8,4,3,6,1,5]=>1011010=>6
[1,7,5,4,8,6,2,3]=>0110110=>3
[4,8,6,3,5,2,1,7]=>0110110=>3
[5,8,6,3,2,7,1,4]=>0111010=>3
[5,7,6,3,2,4,8,1]=>0111001=>3
[5,7,3,2,8,6,4,1]=>0110111=>1
[4,5,1,6,8,2,7,3]=>0100101=>2
[1,2,4,5,6,8,10,9,3,7]=>000000110=>2
[1,2,3,5,7,8,10,6,9,4]=>000000101=>1
[1,2,4,5,7,8,10,3,9,6]=>000000101=>1
[1,2,4,6,7,5,10,8,3,9]=>000010110=>2
[1,3,4,2,7,8,10,5,9,6]=>001000101=>2
[1,3,4,6,7,2,10,8,5,9]=>000010110=>2
[1,2,3,5,6,9,8,10,7,4]=>000001011=>1
[1,2,4,5,6,9,8,10,3,7]=>000001010=>2
[1,2,3,5,7,9,6,10,8,4]=>000001011=>1
[1,2,4,5,7,9,3,10,8,6]=>000001011=>1
[1,2,4,6,5,9,7,10,3,8]=>000101010=>2
[1,3,4,2,7,9,5,10,8,6]=>001001011=>1
[1,3,4,6,2,9,7,10,5,8]=>000101010=>2
[1,2,3,5,8,7,9,6,10,4]=>000010101=>1
[1,2,4,5,8,7,9,3,10,6]=>000010101=>1
[1,2,4,6,8,5,9,3,10,7]=>000010101=>1
[1,2,4,7,6,8,5,9,3,10]=>000101010=>2
[1,3,4,2,8,7,9,5,10,6]=>001010101=>1
[1,3,4,6,8,2,9,5,10,7]=>000010101=>1
[1,3,4,7,6,8,2,9,5,10]=>000101010=>2
[1,2,3,6,5,9,7,10,8,4]=>000101011=>1
[1,2,4,6,3,9,7,10,8,5]=>000101011=>1
[1,2,5,4,6,9,7,10,3,8]=>001001010=>2
[1,3,2,6,4,9,7,10,8,5]=>010101011=>1
[1,3,5,2,6,9,7,10,4,8]=>001001010=>2
[1,2,3,6,8,5,9,7,10,4]=>000010101=>1
[1,2,4,6,8,3,9,7,10,5]=>000010101=>1
[1,2,5,4,8,6,9,3,10,7]=>001010101=>1
[1,2,5,7,4,8,6,9,3,10]=>000101010=>2
[1,3,2,6,8,4,9,7,10,5]=>010010101=>2
[1,3,5,2,8,6,9,4,10,7]=>001010101=>1
[1,3,5,7,2,8,6,9,4,10]=>000101010=>2
[1,4,3,5,8,2,9,6,10,7]=>010010101=>2
[1,4,3,7,5,8,2,9,6,10]=>010101010=>5
[2,1,3,6,4,9,7,10,8,5]=>100101011=>5
[2,1,5,3,6,9,7,10,4,8]=>101001010=>7
[2,1,3,6,8,4,9,7,10,5]=>100010101=>6
[2,1,5,3,8,6,9,4,10,7]=>101010101=>5
[2,1,5,7,3,8,6,9,4,10]=>100101010=>6
[2,4,1,5,8,3,9,6,10,7]=>010010101=>2
[2,4,1,7,5,8,3,9,6,10]=>010101010=>5
[1,6,3,7,2,4,8,5]=>0101001=>3
[8,9,7,6,5,4,3,1,2]=>01111110=>2
[8,6,7,5,4,3,2,1,9]=>10111110=>4
[8,7,9,6,5,4,3,1,2]=>10111110=>4
[9,7,8,6,5,4,3,1,2]=>10111110=>4
[4,3,7,1,6,2,5,8]=>1010100=>7
[4,3,1,6,7,2,5,8]=>1100100=>7
[6,3,1,5,7,2,4,8]=>1100100=>7
[8,7,5,4,3,6,9,2,1]=>11110011=>6
[8,7,6,9,5,3,4,2,1]=>11011011=>5
[8,7,9,6,5,4,2,3,1]=>10111101=>4
[5,2,1,4,8,6,7,3]=>1100101=>6
[4,5,2,1,3,7,6,8]=>0110010=>4
[8,2,7,4,1,6,5,3]=>1011011=>3
[3,2,8,4,1,6,5,7]=>1011010=>6
[3,7,6,4,1,5,8,2]=>0111001=>3
[7,1,8,4,2,3,6,5]=>1011001=>5
[2,7,6,4,5,1,8,3]=>0110101=>3
[4,6,8,1,7,3,5,2]=>0010101=>1
[3,6,8,1,5,7,4,2]=>0010011=>1
[2,8,3,1,6,7,4,5]=>0110010=>4
[4,5,6,8,2,1,7,3]=>0001101=>1
[4,5,6,8,1,3,7,2]=>0001001=>1
[4,5,8,3,2,1,7,6]=>0011101=>1
[4,5,1,3,2,6,7,8]=>0101000=>5
[4,7,3,2,1,6,5,8]=>0111010=>3
[4,7,8,3,5,1,6,2]=>0010101=>1
[4,7,1,3,5,6,2,8]=>0100010=>4
[4,8,3,2,1,6,7,5]=>0111001=>3
[5,2,8,1,4,6,7,3]=>1010001=>6
[5,6,3,7,8,1,4,2]=>0100101=>2
[5,7,1,4,3,6,2,8]=>0101010=>4
[6,2,3,7,1,5,4,8]=>1001010=>5
[6,2,8,1,5,4,7,3]=>1010101=>4
[6,1,3,4,5,2,7,8]=>1000100=>6
[7,1,3,4,5,6,2,8]=>1000010=>6
[7,2,5,1,3,6,4,8]=>1010010=>6
[6,5,2,7,8,4,3,1]=>1100111=>4
[7,5,3,6,4,2,1,8]=>1101110=>6
[1,3,6,7,5,2,4,8]=>0001100=>3
[1,5,2,6,8,7,3,4]=>0100110=>3
[3,2,1,5,6,7,8,9,4]=>11000001=>7
[3,2,6,1,4,7,8,9,5]=>10100001=>7
[4,3,2,1,6,7,8,9,5]=>11100001=>7
[3,2,7,8,1,4,5,9,6]=>10010001=>7
[4,7,2,5,1,3,8,9,6]=>01010001=>4
[4,3,2,7,1,5,8,9,6]=>11010001=>7
[5,4,3,2,1,7,8,9,6]=>11110001=>7
[4,3,2,8,9,1,5,6,7]=>11001000=>8
[8,5,6,3,4,1,2,9,7]=>10101001=>7
[5,3,8,2,6,1,4,9,7]=>10101001=>7
[5,4,3,2,8,1,6,9,7]=>11101001=>7
[6,5,4,3,2,1,8,9,7]=>11111001=>7
[6,9,4,7,2,5,1,3,8]=>01010100=>5
[6,4,3,9,2,7,1,5,8]=>11010100=>8
[6,5,4,3,2,9,1,7,8]=>11110100=>8
[5,6,1,2,3,7,8,9,10,4]=>010000001=>6
[2,5,1,3,6,7,8,9,10,4]=>010000001=>6
[3,2,1,5,6,7,8,9,10,4]=>110000001=>8
[6,7,8,1,2,3,4,9,10,5]=>001000001=>4
[2,6,7,1,3,4,8,9,10,5]=>001000001=>4
[6,3,4,1,2,7,8,9,10,5]=>101000001=>8
[3,2,6,1,4,7,8,9,10,5]=>101000001=>8
[4,3,2,1,6,7,8,9,10,5]=>111000001=>8
[2,7,8,9,1,3,4,5,10,6]=>000100001=>2
[7,3,4,8,1,2,5,9,10,6]=>100100001=>8
[3,2,7,8,1,4,5,9,10,6]=>100100001=>8
[4,7,2,5,1,3,8,9,10,6]=>010100001=>5
[4,3,2,7,1,5,8,9,10,6]=>110100001=>8
[5,4,3,2,1,7,8,9,10,6]=>111100001=>8
[8,3,4,9,10,1,2,5,6,7]=>100010000=>9
[8,9,4,5,6,1,2,3,10,7]=>010010001=>5
[4,3,2,8,9,1,5,6,10,7]=>110010001=>8
[8,5,6,3,4,1,2,9,10,7]=>101010001=>8
[5,3,8,2,6,1,4,9,10,7]=>101010001=>8
[5,4,3,2,8,1,6,9,10,7]=>111010001=>8
[6,5,4,3,2,1,8,9,10,7]=>111110001=>8
[5,9,10,2,6,7,1,3,4,8]=>001001000=>5
[9,5,6,3,4,10,1,2,7,8]=>101001000=>9
[5,3,9,2,6,10,1,4,7,8]=>101001000=>9
[5,4,3,2,9,10,1,6,7,8]=>111001000=>9
[6,9,4,7,2,5,1,3,10,8]=>010101001=>4
[6,4,3,9,2,7,1,5,10,8]=>110101001=>8
[6,5,4,3,2,9,1,7,10,8]=>111101001=>8
[7,6,5,4,3,2,1,9,10,8]=>111111001=>8
[10,7,8,5,6,3,4,1,2,9]=>101010100=>9
[7,5,10,3,8,2,6,1,4,9]=>101010100=>9
[7,5,4,3,10,2,8,1,6,9]=>111010100=>9
[7,6,5,4,3,2,10,1,8,9]=>111110100=>9
[5,3,4,7,2,1,6,8]=>1001100=>6
[7,6,9,5,4,3,2,1,8]=>10111110=>4
[4,8,5,7,1,2,3,6]=>0101000=>5
[4,2,3,7,6,1,8,5]=>1001101=>4
[4,2,6,3,1,5,7,8]=>1011000=>6
[2,1,8,7,4,3,6,5,10,9]=>101110101=>6
[4,6,3,2,5,8,7,1]=>0110011=>2
[5,8,4,3,2,6,1,7]=>0111010=>3
[1,5,7,4,8,6,2,3]=>0010110=>2
[6,1,5,7,3,8,2,4]=>1001010=>5
[1,2,7,8,6,4,3,5]=>0001110=>2
[3,5,1,7,8,6,2,4]=>0100110=>3
[5,2,4,1,7,6,8,3]=>1010101=>4
[2,1,4,3,6,5,7,9,10,8]=>101010001=>8
[2,1,4,3,5,7,8,6,10,9]=>101000101=>7
[2,1,4,3,5,7,6,9,10,8]=>101001001=>8
[2,1,4,3,5,6,8,9,10,7]=>101000001=>8
[2,1,3,5,6,4,8,7,10,9]=>100010101=>6
[2,1,3,5,6,4,7,9,10,8]=>100010001=>7
[2,1,3,5,4,7,8,6,10,9]=>100100101=>6
[2,1,3,5,4,7,6,9,10,8]=>100101001=>6
[2,1,3,5,4,6,8,9,10,7]=>100100001=>8
[2,1,3,4,6,7,8,5,10,9]=>100000101=>7
[2,1,3,4,6,7,5,9,10,8]=>100001001=>7
[2,1,3,4,6,5,8,9,10,7]=>100010001=>7
[2,1,3,4,5,7,8,9,10,6]=>100000001=>8
[1,3,4,2,6,5,7,9,10,8]=>001010001=>3
[1,3,4,2,5,7,8,6,10,9]=>001000101=>2
[1,3,4,2,5,7,6,9,10,8]=>001001001=>3
[1,3,4,2,5,6,8,9,10,7]=>001000001=>4
[1,3,2,5,6,4,8,7,10,9]=>010010101=>2
[1,3,2,5,6,4,7,9,10,8]=>010010001=>5
[1,3,2,5,4,7,8,6,10,9]=>010100101=>3
[1,3,2,5,4,7,6,9,10,8]=>010101001=>4
[1,3,2,5,4,6,8,9,10,7]=>010100001=>5
[1,3,2,4,6,7,8,5,10,9]=>010000101=>4
[1,3,2,4,6,7,5,9,10,8]=>010001001=>4
[1,3,2,4,6,5,8,9,10,7]=>010010001=>5
[1,3,2,4,5,7,8,9,10,6]=>010000001=>6
[1,2,4,5,6,3,8,7,10,9]=>000010101=>1
[1,2,4,5,6,3,7,9,10,8]=>000010001=>1
[1,2,4,5,3,7,8,6,10,9]=>000100101=>1
[1,2,4,5,3,7,6,9,10,8]=>000101001=>1
[1,2,4,5,3,6,8,9,10,7]=>000100001=>2
[1,2,4,3,6,7,8,5,10,9]=>001000101=>2
[1,2,4,3,6,7,5,9,10,8]=>001001001=>3
[1,2,4,3,6,5,8,9,10,7]=>001010001=>3
[1,2,4,3,5,7,8,9,10,6]=>001000001=>4
[1,2,3,5,6,7,8,4,10,9]=>000000101=>1
[1,2,3,5,6,7,4,9,10,8]=>000001001=>1
[1,2,3,5,6,4,8,9,10,7]=>000010001=>1
[1,2,3,5,4,7,8,9,10,6]=>000100001=>2
[2,3,4,9,6,7,8,5,1]=>00010011=>1
[2,3,9,5,6,7,8,4,1]=>00100011=>2
[2,9,4,5,6,7,8,3,1]=>01000011=>4
[9,3,4,5,6,7,8,2,1]=>10000011=>6
[2,3,4,5,6,10,8,9,7,1]=>000001011=>1
[2,3,4,1,9,7,8,6,5]=>00101011=>1
[2,3,4,5,10,7,8,9,6,1]=>000010011=>1
[2,3,1,9,6,7,8,5,4]=>01010011=>3
[2,3,4,10,6,7,8,9,5,1]=>000100011=>1
[2,1,9,5,6,7,8,4,3]=>10100011=>6
[2,3,10,5,6,7,8,9,4,1]=>001000011=>3
[1,9,4,5,6,7,8,3,2]=>01000011=>4
[2,10,4,5,6,7,8,9,3,1]=>010000011=>5
[10,3,4,5,6,7,8,9,2,1]=>100000011=>7
[5,6,4,7,3,9,1,8,2]=>01010101=>4
[5,6,4,9,1,8,2,7,3]=>01010101=>4
[5,9,1,8,2,7,3,6,4]=>01010101=>4
[9,1,8,2,7,3,6,4,5]=>10101010=>8
[5,4,3,8,1,7,2,6]=>1101010=>7
[5,4,9,1,8,2,7,3,6]=>10101010=>8
[5,4,6,3,9,1,8,2,7]=>10101010=>8
[5,4,6,3,7,2,9,1,8]=>10101010=>8
[6,5,7,4,8,3,10,1,9,2]=>101010101=>5
[5,6,4,8,2,9,1,7,3]=>01010101=>4
[6,5,7,4,10,1,9,2,8,3]=>101010101=>5
[5,7,3,9,1,8,2,6,4]=>01010101=>4
[6,5,10,1,9,2,8,3,7,4]=>101010101=>5
[6,4,9,1,8,2,7,3,5]=>10101010=>8
[4,5,9,1,8,2,7,3,6]=>00101010=>2
[5,10,1,9,2,8,3,7,4,6]=>010101010=>5
[6,4,5,3,9,1,8,2,7]=>10101010=>8
[5,6,4,10,1,9,2,8,3,7]=>010101010=>5
[5,4,7,3,6,2,9,1,8]=>10101010=>8
[5,6,4,7,3,10,1,9,2,8]=>010101010=>5
[5,6,4,7,3,8,2,10,1,9]=>010101010=>5
[7,3,1,5,6,8,4,2]=>1100011=>5
[2,10,1,3,4,5,6,9,7,8]=>010000010=>6
[2,9,1,3,4,5,6,7,10,8]=>010000001=>6
[12,1,2,3,4,5,6,7,8,11,9,10]=>10000000010=>10
[10,3,1,2,4,5,6,9,7,8]=>110000010=>9
[3,1,10,2,4,5,6,9,7,8]=>101000010=>8
[9,3,1,2,4,5,6,7,10,8]=>110000001=>8
[3,1,9,2,4,5,6,7,10,8]=>101000001=>8
[7,2,3,1,6,8,4,5]=>1010010=>6
[4,1,8,2,5,6,3,7]=>1010010=>6
[5,7,8,1,6,2,3,4]=>0010100=>3
[1,6,4,2,7,3,8,5]=>0110101=>3
[1,4,2,5,8,6,3,7]=>0100110=>3
[4,3,2,1,8,9,7,6,5]=>11100111=>5
[4,8,2,1,5,7,3,6]=>0110010=>4
[5,2,7,1,6,3,4,8]=>1010100=>7
[4,8,2,5,1,6,3,7]=>0101010=>4
[5,8,1,2,4,6,3,7]=>0100010=>4
[5,1,7,3,6,4,2,8]=>1010110=>5
[3,2,7,5,6,1,4,8]=>1010100=>7
[3,2,7,1,6,4,5,8]=>1010100=>7
[6,3,1,7,5,4,2,8]=>1101110=>6
[9,8,3,4,5,6,7,1,2]=>11000010=>8
[9,8,2,3,4,5,6,1,7]=>11000010=>8
[6,2,8,7,3,4,5,1]=>1011001=>5
[9,4,5,6,7,8,2,1,3]=>10000110=>6
[9,3,4,5,6,7,2,1,8]=>10000110=>6
[10,9,3,4,5,6,7,8,1,2]=>110000010=>9
[10,9,2,3,4,5,6,7,1,8]=>110000010=>9
[7,2,9,8,3,4,5,6,1]=>10110001=>6
[9,8,2,3,4,5,1,6,7]=>11000100=>8
[7,3,4,8,5,6,2,1]=>1001011=>4
[9,5,6,7,8,2,1,3,4]=>10001100=>6
[7,3,6,8,4,5,2,1]=>1001011=>4
[8,3,9,4,5,6,7,2,1]=>10100011=>6
[10,4,5,6,7,8,9,2,1,3]=>100000110=>7
[9,3,4,5,6,2,1,7,8]=>10001100=>6
[10,3,4,5,6,7,8,2,1,9]=>100000110=>7
[5,6,2,8,3,1,7,4]=>0101101=>2
[1,4,7,5,6,2,8,3]=>0010101=>1
[1,7,4,8,3,5,6,2]=>0101001=>3
[5,3,1,4,8,6,2,7]=>1100110=>6
[5,2,4,8,3,1,6,7]=>1001100=>6
[7,4,5,1,8,6,2,3]=>1010110=>5
[8,1,5,7,6,3,2,4]=>1001110=>4
[1,8,6,7,5,3,2,4]=>0101110=>2
[7,4,8,3,1,6,5,2]=>1011011=>3
[8,1,5,3,7,6,2,4]=>1010110=>5
[6,4,8,7,3,5,1,2]=>1011010=>6
[6,1,4,2,3,5,7,8]=>1010000=>7
[7,1,4,3,8,6,5,2]=>1010111=>3
[6,1,5,7,2,8,3,4]=>1001010=>5
[1,8,2,6,7,4,3,5]=>0100110=>3
[1,6,2,7,3,8,4,9,5]=>01010101=>4
[1,8,5,2,9,6,3,10,7,4]=>011011011=>3
[7,2,4,1,8,5,3,6]=>1010110=>5
[4,7,2,6,1,8,3,5]=>0101010=>4
[8,7,3,5,2,1,6,4]=>1101101=>5
[7,5,3,2,1,6,8,4]=>1111001=>6
[6,8,1,3,4,2,5,7]=>0100100=>5
[3,6,1,4,7,8,2,5]=>0100010=>4
[2,5,7,1,3,6,4,8]=>0010010=>3
[1,4,7,2,5,3,6,8]=>0010100=>3
[4,5,3,1,2,6,8,7]=>0110001=>4
[4,5,1,3,8,2,6,7]=>0100100=>5
[4,1,5,3,2,7,6,8]=>1011010=>6
[7,3,5,1,4,2,6,8]=>1010100=>7
[6,2,1,7,4,3,8,5]=>1101101=>5
[2,4,3,6,7,1,5,8]=>0100100=>5
[7,3,5,2,1,6,4,8]=>1011010=>6
[4,6,5,2,1,3,7,8]=>0111000=>4
[2,5,6,1,4,3,7,8]=>0010100=>3
[6,1,5,3,7,2,4,8]=>1010100=>7
[3,6,5,4,1,7,2,8]=>0111010=>3
[10,9,3,8,7,6,5,4,2,1]=>110111111=>3
[8,7,6,4,5,3,2,1,10,9]=>111011101=>7
[10,9,8,6,5,4,7,3,2,1]=>111110111=>6
[6,7,1,9,2,3,4,5,8]=>01010000=>6
[6,1,8,9,2,3,4,5,7]=>10010000=>8
[8,1,9,10,2,3,4,5,6,7]=>100100000=>9
[6,8,7,5,4,2,1,3]=>0111110=>2
[1,6,8,7,3,2,4,5]=>0011100=>3
[8,7,5,4,6,1,3,2]=>1110101=>6
[1,7,8,2,4,6,3,5]=>0010010=>3
[7,5,4,8,1,3,6,2]=>1101001=>6
[5,6,1,8,4,3,7,2]=>0101101=>2
[1,8,2,6,7,5,4,3]=>0100111=>2
[2,7,5,1,6,8,3,4]=>0110010=>4
[8,5,4,2,7,3,6,1]=>1110101=>6
[3,8,6,1,2,4,5,7]=>0110000=>5
[1,8,5,3,2,7,4,6]=>0111010=>3
[1,8,4,7,2,3,5,6]=>0101000=>5
[3,2,8,1,7,5,4,6]=>1010110=>5
[3,4,5,6,2,1,7,8,9]=>00011000=>4
[3,4,5,2,1,6,7,8,9]=>00110000=>5
[7,1,5,6,2,3,4,8]=>1001000=>7
[6,5,1,7,2,3,4,8]=>1101000=>7
[1,6,8,2,7,3,4,5]=>0010100=>3
[1,6,8,7,3,4,2,5]=>0011010=>2
[4,1,3,6,7,8,5,2]=>1000011=>5
[7,4,1,5,6,8,3,2]=>1100011=>5
[4,1,2,6,7,8,5,3]=>1000011=>5
[3,4,5,8,9,1,2,6,7]=>00001000=>4
[3,4,7,8,9,1,2,5,6]=>00001000=>4
[3,6,7,8,9,1,2,4,5]=>00001000=>4
[3,4,5,6,1,7,2,8,9]=>00010100=>3
[3,4,5,1,6,2,7,8,9]=>00101000=>4
[3,4,5,6,7,10,1,2,8,9]=>000001000=>4
[3,4,1,5,9,2,6,7,8]=>01001000=>6
[3,4,5,6,9,10,1,2,7,8]=>000001000=>4
[3,4,5,8,9,10,1,2,6,7]=>000001000=>4
[1,3,7,8,9,2,4,5,6]=>00001000=>4
[3,4,7,8,9,10,1,2,5,6]=>000001000=>4
[2,6,7,8,9,1,3,4,5]=>00001000=>4
[3,6,7,8,9,10,1,2,4,5]=>000001000=>4
[6,3,7,1,8,2,4,5]=>1010100=>7
[3,7,8,1,5,2,6,4]=>0010101=>1
[2,1,4,3,6,5,10,7,9,8]=>101010101=>5
[2,1,4,3,8,5,7,6,10,9]=>101010101=>5
[2,1,4,3,10,9,7,5,6,8]=>101011100=>6
[2,1,4,3,10,5,6,8,9,7]=>101010001=>8
[2,1,6,3,5,4,8,7,10,9]=>101010101=>5
[2,1,6,3,5,4,10,7,9,8]=>101010101=>5
[2,1,8,7,5,3,4,6,10,9]=>101110001=>6
[2,1,10,7,5,9,4,3,6,8]=>101101100=>7
[2,1,10,8,5,3,6,4,9,7]=>101110101=>6
[2,1,8,3,4,6,7,5,10,9]=>101000101=>7
[2,1,10,9,4,6,7,3,5,8]=>101100100=>8
[2,1,10,3,9,6,4,8,5,7]=>101011010=>7
[2,1,10,3,4,5,7,8,9,6]=>101000001=>8
[4,1,3,2,6,5,8,7,10,9]=>101010101=>5
[4,1,3,2,6,5,10,7,9,8]=>101010101=>5
[4,1,3,2,8,5,7,6,10,9]=>101010101=>5
[4,1,3,2,10,9,7,5,6,8]=>101011100=>6
[4,1,3,2,10,5,6,8,9,7]=>101010001=>8
[6,5,3,1,2,4,10,7,9,8]=>111000101=>8
[8,5,3,7,2,1,4,6,10,9]=>110110001=>8
[10,5,3,7,2,9,4,1,6,8]=>110101100=>9
[10,5,3,8,2,1,6,4,9,7]=>110110101=>8
[8,6,3,1,4,2,7,5,10,9]=>111010101=>8
[10,6,3,9,4,2,7,1,5,8]=>110110100=>9
[10,6,3,1,9,2,4,8,5,7]=>111010010=>9
[10,7,3,1,4,5,2,8,9,6]=>111001001=>8
[6,1,2,4,5,3,8,7,10,9]=>100010101=>6
[6,1,2,4,5,3,10,7,9,8]=>100010101=>6
[8,7,2,4,5,1,3,6,10,9]=>110010001=>8
[10,7,2,4,5,9,3,1,6,8]=>110001100=>8
[10,8,2,4,5,1,6,3,9,7]=>110010101=>8
[8,1,7,4,2,6,3,5,10,9]=>101101001=>7
[10,9,7,4,2,6,3,1,5,8]=>111101100=>9
[10,1,8,4,9,6,2,3,5,7]=>101011000=>7
[10,1,8,4,2,5,7,3,9,6]=>101100101=>6
[8,1,2,3,5,6,7,4,10,9]=>100000101=>7
[10,9,2,3,5,6,7,1,4,8]=>110000100=>9
[10,1,9,3,5,6,2,8,4,7]=>101001010=>7
[10,1,2,9,5,3,7,8,4,6]=>100110010=>7
[12,1,2,11,4,6,7,3,9,10,5,8]=>10010010010=>8
[1,5,4,7,8,3,6,2]=>0100101=>2
[5,1,4,7,8,3,6,2]=>1000101=>5
[4,8,1,5,6,2,3,7]=>0100100=>5
[5,6,4,1,7,3,8,2]=>0110101=>3
[4,3,7,8,2,5,1,6]=>1001010=>5
[3,7,8,5,4,2,1,6]=>0011110=>2
[1,7,4,5,6,8,3,2]=>0100011=>3
[7,2,4,5,6,8,3,1]=>1000011=>5
[2,7,4,5,6,8,3,1]=>0100011=>3
[2,4,7,8,3,1,6,5]=>0001101=>1
[5,4,3,6,8,1,7,2]=>1100101=>6
[3,7,4,5,8,1,6,2]=>0100101=>2
[1,4,3,5,6,8,2,7]=>0100010=>4
[1,4,6,5,8,2,7,3]=>0010101=>1
[4,6,1,7,3,2,8,5]=>0101101=>2
[1,7,3,6,4,2,8,5]=>0101101=>2
[4,7,3,5,1,2,8,6]=>0101001=>3
[1,6,4,2,3,5,8,7]=>0110001=>4
[4,8,3,5,2,1,6,7]=>0101100=>3
[10,9,7,6,5,4,3,8,2,1]=>111111011=>7
[1,6,8,4,7,5,3,2]=>0010111=>1
[8,7,3,1,5,2,6,4]=>1110101=>6
[4,7,1,6,8,2,3,5]=>0100100=>5
[4,6,5,8,2,3,7,1]=>0101001=>3
[7,1,8,2,4,5,3,6]=>1010010=>6
[5,7,8,2,3,4,1,6]=>0010010=>3
[5,2,3,8,7,1,4,6]=>1001100=>6
[8,7,1,3,2,6,4,5]=>1101010=>7
[2,7,6,4,8,3,1,5]=>0110110=>3
[2,6,3,7,5,8,4,1]=>0101011=>1
[7,5,1,2,3,8,4,6]=>1100010=>7
[4,3,5,2,6,1,7,8,9]=>10101000=>8
[4,5,3,6,2,7,1,8,9]=>01010100=>5
[3,2,4,1,5,6,7,8,9,10]=>101000000=>9
[3,4,2,5,1,6,7,8,9,10]=>010100000=>7
[4,3,5,2,6,1,7,8,9,10]=>101010000=>9
[4,5,3,6,2,7,1,8,9,10]=>010101000=>6
[5,4,6,3,7,2,8,1,9,10]=>101010100=>9
[8,6,2,1,3,7,4,5]=>1110010=>7
[4,2,3,6,8,5,7,1]=>1000101=>5
[4,7,3,2,6,5,1,8]=>0110110=>3
[4,3,7,8,2,1,6,5]=>1001101=>4
[4,8,7,2,1,5,6,3]=>0111001=>3
[7,3,8,2,5,1,6,4]=>1010101=>4
[4,5,3,8,6,1,2,7]=>0101100=>3
[6,3,5,8,4,1,2,7]=>1001100=>6
[7,3,8,4,5,1,2,6]=>1010100=>7
[4,8,7,5,1,2,6,3]=>0111001=>3
[7,8,4,6,1,3,5,2]=>0101001=>3
[4,8,7,5,1,3,6,2]=>0111001=>3
[4,5,3,6,8,1,2,7]=>0100100=>5
[7,8,6,2,1,4,3,5]=>0111010=>3
[7,8,6,3,1,2,5,4]=>0111001=>3
[3,7,6,4,1,5,2,8]=>0111010=>3
[5,2,8,4,7,1,3,6]=>1010100=>7
[7,3,1,2,8,6,5,4]=>1100111=>4
[8,7,1,3,2,4,5,6]=>1101000=>7
[4,1,3,6,5,7,2,8]=>1001010=>5
[4,1,3,5,7,2,8,6]=>1000101=>5
[5,1,8,2,4,6,3,7]=>1010010=>6
[6,8,2,1,4,5,3,7]=>0110010=>4
[4,2,7,3,6,8,5,1]=>1010011=>5
[3,1,5,8,6,7,2,4]=>1001010=>5
[6,8,2,1,4,5,7,3]=>0110001=>4
[2,1,4,3,6,5,10,7,8,9]=>101010100=>9
[2,1,4,3,8,5,6,7,10,9]=>101010001=>8
[2,1,4,3,10,9,6,5,8,7]=>101011101=>4
[2,1,4,3,10,5,6,7,8,9]=>101010000=>9
[2,1,6,3,4,5,8,7,10,9]=>101000101=>7
[2,1,6,3,4,5,10,7,8,9]=>101000100=>9
[2,1,10,7,4,9,6,3,8,5]=>101101101=>6
[2,1,10,9,4,3,6,7,8,5]=>101110001=>6
[2,1,8,3,4,5,6,7,10,9]=>101000001=>8
[2,1,10,9,4,5,6,3,8,7]=>101100101=>6
[2,1,10,3,8,5,4,7,6,9]=>101011010=>7
[4,1,2,3,6,5,10,7,8,9]=>100010100=>7
[4,1,2,3,8,5,6,7,10,9]=>100010001=>7
[4,1,2,3,10,9,6,5,8,7]=>100011101=>5
[6,5,2,1,4,3,8,7,10,9]=>111010101=>8
[6,5,2,1,4,3,10,7,8,9]=>111010100=>9
[8,5,2,7,4,1,6,3,10,9]=>110110101=>8
[10,5,2,7,4,9,6,1,8,3]=>110101101=>7
[10,5,2,9,4,1,6,7,8,3]=>110110001=>8
[8,7,2,1,4,5,6,3,10,9]=>111000101=>8
[10,7,2,9,4,5,6,1,8,3]=>110100101=>8
[10,9,2,1,8,5,4,7,6,3]=>111011011=>7
[10,9,2,1,4,5,6,7,8,3]=>111000001=>8
[6,1,2,3,4,5,8,7,10,9]=>100000101=>7
[8,7,2,3,4,1,6,5,10,9]=>110010101=>8
[10,7,2,3,4,9,6,1,8,5]=>110001101=>7
[10,9,2,3,4,1,6,7,8,5]=>110010001=>8
[8,1,6,3,2,5,4,7,10,9]=>101101001=>7
[10,9,6,3,2,5,4,1,8,7]=>111101101=>8
[10,1,6,3,8,5,2,7,4,9]=>101011010=>7
[10,1,8,3,2,5,6,7,4,9]=>101100010=>8
[10,9,2,3,4,5,6,1,8,7]=>110000101=>8
[10,1,8,3,4,5,2,7,6,9]=>101001010=>7
[10,1,2,7,4,3,6,5,8,9]=>100110100=>7
[4,1,2,3,6,5,8,7,12,9,10,11]=>10001010100=>8
[4,1,2,3,8,5,6,7,12,9,10,11]=>10001000100=>9
[6,1,2,3,4,5,12,7,8,9,10,11]=>10000010000=>10
[8,1,2,3,4,5,6,7,12,9,10,11]=>10000000100=>10
[12,1,2,9,4,5,6,3,8,7,10,11]=>10010010100=>9
[12,1,2,3,4,5,6,7,8,9,10,11]=>10000000000=>11
[1,5,4,8,7,3,2,6]=>0101110=>2
[4,3,1,2,6,5,7,8]=>1100100=>7
[7,1,4,5,8,3,6,2]=>1000101=>5
[7,5,8,1,2,4,6,3]=>1010001=>6
[6,1,5,2,8,7,4,3]=>1010111=>3
[8,4,6,3,1,2,7,5]=>1011001=>5
[3,8,6,4,1,5,7,2]=>0111001=>3
[8,7,1,4,5,2,3,6]=>1100100=>7
[3,8,6,4,5,1,7,2]=>0110101=>3
[3,7,6,4,5,1,2,8]=>0110100=>4
[7,4,6,3,1,2,8,5]=>1011001=>5
[4,6,2,5,7,8,1,3]=>0100010=>4
[4,6,3,5,7,1,2,8]=>0100100=>5
[4,7,3,5,8,6,1,2]=>0100110=>3
[4,8,3,5,7,1,6,2]=>0100101=>2
[4,8,3,5,6,1,2,7]=>0100100=>5
[4,7,2,5,6,8,1,3]=>0100010=>4
[4,8,2,5,6,7,1,3]=>0100010=>4
[1,4,7,2,6,5,8,3]=>0010101=>1
[1,5,7,2,6,4,8,3]=>0010101=>1
[7,2,4,6,1,8,3,5]=>1001010=>5
[1,2,7,8,3,5,4,6]=>0001010=>2
[1,7,6,2,8,5,4,3]=>0110111=>1
[1,2,7,8,3,4,6,5]=>0001001=>1
[1,7,6,8,3,4,2,5]=>0101010=>4
[3,4,1,7,8,6,5,2]=>0100111=>2
[2,4,8,6,5,7,1,3]=>0011010=>2
[5,1,3,4,8,2,7,6]=>1000101=>5
[8,7,3,6,1,4,2,5]=>1101010=>7
[6,5,1,8,3,4,7,2]=>1101001=>6
[8,2,1,5,6,4,7,3]=>1100101=>6
[7,5,6,1,3,4,8,2]=>1010001=>6
[5,7,2,4,6,1,8,3]=>0100101=>2
[2,1,5,6,3,8,7,4]=>1001011=>4
[3,2,7,5,8,6,4,1]=>1010111=>3
[2,4,5,3,8,1,7,6]=>0010101=>1
[7,2,5,4,3,8,6,1]=>1011011=>3
[8,5,3,1,2,6,7,4]=>1110001=>6
[7,2,5,1,3,6,8,4]=>1010001=>6
[8,4,7,3,1,2,6,5]=>1011001=>5
[1,8,7,3,5,2,6,4]=>0110101=>3
[2,4,8,3,6,5,7,1]=>0010101=>1
[3,1,8,2,6,5,7,4]=>1010101=>4
[4,6,7,8,5,2,1,3]=>0001110=>2
[4,7,2,1,8,6,5,3]=>0110111=>1
[5,6,2,8,4,1,7,3]=>0101101=>2
[5,7,2,4,8,6,1,3]=>0100110=>3
[6,7,2,4,8,5,1,3]=>0100110=>3
[6,7,3,2,8,5,1,4]=>0110110=>3
[7,2,3,1,8,6,5,4]=>1010111=>3
[7,2,8,3,5,6,1,4]=>1010010=>6
[7,2,3,8,4,6,1,5]=>1001010=>5
[1,7,3,4,8,5,2,6]=>0100110=>3
[1,7,3,8,5,4,2,6]=>0101110=>2
[7,2,8,4,5,3,1,6]=>1010110=>5
[2,8,6,4,3,1,7,5]=>0111101=>2
[1,7,3,4,8,2,5,6]=>0100100=>5
[1,5,8,3,4,6,2,7]=>0010010=>3
[1,3,8,4,2,5,7,6]=>0011001=>2
[1,4,7,6,2,3,8,5]=>0011001=>2
[1,8,4,6,7,2,3,5]=>0100100=>5
[1,4,2,3,7,8,6,5]=>0100011=>3
[5,7,1,6,4,8,3,2]=>0101011=>1
[1,2,9,7,5,3,10,8,6,4]=>001110111=>1
[7,4,5,8,1,3,6,2]=>1001001=>5
[1,4,3,6,2,5,8,7]=>0101001=>3
[1,4,6,3,2,5,8,7]=>0011001=>2
[1,3,6,5,8,2,4,7]=>0010100=>3
[1,4,6,3,2,8,5,7]=>0011010=>2
[6,8,4,1,5,7,2,3]=>0110010=>4
[5,2,6,7,4,1,8,3]=>1001101=>4
[8,5,6,4,1,7,3,2]=>1011011=>3
[7,8,3,1,6,4,5,2]=>0110101=>3
[5,8,2,6,3,1,7,4]=>0101101=>2
[4,5,8,1,6,3,7,2]=>0010101=>1
[8,1,4,6,2,5,7,3]=>1001001=>5
[4,5,8,1,6,2,7,3]=>0010101=>1
[5,2,6,8,1,4,3,7]=>1001010=>5
[6,7,3,8,2,1,4,5]=>0101100=>3
[2,4,1,5,6,7,8,10,3,9]=>010000010=>6
[2,7,3,5,4,1,8,6]=>0101101=>2
[2,6,3,7,4,1,8,5]=>0101101=>2
[2,1,4,8,5,3,7,6]=>1001101=>4
[2,7,3,8,4,1,6,5]=>0101101=>2
[2,6,3,1,5,4,8,7]=>0110101=>3
[1,5,8,3,4,7,2,6]=>0010010=>3
[5,3,8,1,4,6,2,7]=>1010010=>6
[4,5,8,1,3,6,2,7]=>0010010=>3
[7,4,6,5,2,8,3,1]=>1011011=>3
[4,1,3,8,5,7,6,2]=>1001011=>4
[4,1,3,7,2,8,6,5]=>1001011=>4
[4,6,3,1,7,2,8,5]=>0110101=>3
[7,2,6,3,1,8,5,4]=>1011011=>3
[4,8,7,2,5,3,1,6]=>0110110=>3
[1,6,3,2,8,7,4,5]=>0110110=>3
[2,8,1,7,5,4,6,3]=>0101101=>2
[6,8,3,1,5,7,2,4]=>0110010=>4
[8,7,3,1,2,5,6,4]=>1110001=>6
[1,3,5,7,2,8,4,9,6]=>00010101=>1
[1,3,5,6,2,7,4,9,8]=>00010101=>1
[1,3,4,5,2,7,6,9,8]=>00010101=>1
[3,5,7,1,2,4,6,9,8]=>00100001=>3
[1,3,5,7,2,9,4,6,8,10]=>000101000=>4
[3,5,7,8,1,9,2,4,6]=>00010100=>3
[1,3,5,7,2,9,4,10,6,8]=>000101010=>2
[3,5,6,7,1,8,2,9,4]=>00010101=>1
[1,3,5,7,2,8,4,9,6,10]=>000101010=>2
[1,3,5,6,2,7,4,9,8,10]=>000101010=>2
[1,3,4,5,2,7,6,9,8,10]=>000101010=>2
[5,4,3,6,1,7,8,2]=>1101001=>6
[3,2,7,8,5,6,1,4]=>1001010=>5
[4,8,3,2,1,7,5,6]=>0111010=>3
[5,1,2,6,4,7,8,3]=>1001001=>5
[7,1,2,3,4,9,6,8,5]=>10000101=>6
[7,1,2,3,4,8,6,9,5]=>10000101=>6
[8,1,2,3,9,5,6,7,4]=>10001001=>6
[7,1,2,3,9,5,6,8,4]=>10001001=>6
[7,1,2,3,8,5,6,9,4]=>10001001=>6
[6,1,2,3,8,5,9,7,4]=>10001011=>5
[6,1,2,3,7,5,8,9,4]=>10001001=>6
[6,1,2,8,4,5,9,7,3]=>10010011=>5
[6,1,2,7,4,5,8,9,3]=>10010001=>7
[5,1,2,7,4,9,6,8,3]=>10010101=>5
[5,1,2,7,4,8,6,9,3]=>10010101=>5
[5,1,2,6,4,7,8,9,3]=>10010001=>7
[4,1,6,3,8,5,9,7,2]=>10101011=>4
[4,1,6,3,7,5,8,9,2]=>10101001=>7
[4,1,5,3,6,7,8,9,2]=>10100001=>7
[10,1,2,3,4,5,7,8,9,6]=>100000001=>8
[8,1,2,3,4,5,10,7,9,6]=>100000101=>7
[8,1,2,3,4,5,9,7,10,6]=>100000101=>7
[9,1,2,3,4,10,6,7,8,5]=>100001001=>7
[8,1,2,3,4,10,6,7,9,5]=>100001001=>7
[8,1,2,3,4,9,6,7,10,5]=>100001001=>7
[7,1,2,3,4,9,6,10,8,5]=>100001011=>6
[7,1,2,3,4,8,6,9,10,5]=>100001001=>7
[8,1,2,3,10,5,6,7,9,4]=>100010001=>7
[8,1,2,3,9,5,6,7,10,4]=>100010001=>7
[7,1,2,3,10,5,6,8,9,4]=>100010001=>7
[7,1,2,3,8,5,6,9,10,4]=>100010001=>7
[6,1,2,3,8,5,10,7,9,4]=>100010101=>6
[6,1,2,3,8,5,9,7,10,4]=>100010101=>6
[6,1,2,3,7,5,8,9,10,4]=>100010001=>7
[6,1,2,9,4,5,10,7,8,3]=>100100101=>6
[6,1,2,8,4,5,10,7,9,3]=>100100101=>6
[6,1,2,8,4,5,9,7,10,3]=>100100101=>6
[6,1,2,7,4,5,8,9,10,3]=>100100001=>8
[5,1,2,7,4,9,6,10,8,3]=>100101011=>5
[5,1,2,7,4,8,6,9,10,3]=>100101001=>6
[5,1,2,6,4,7,8,9,10,3]=>100100001=>8
[4,1,6,3,8,5,9,7,10,2]=>101010101=>5
[4,1,6,3,7,5,8,9,10,2]=>101010001=>8
[4,1,5,3,6,7,8,9,10,2]=>101000001=>8
[1,9,8,7,6,4,3,2,5]=>01111110=>2
[1,9,8,7,5,4,3,2,6]=>01111110=>2
[1,9,8,6,5,4,3,2,7]=>01111110=>2
[1,9,7,6,5,4,3,2,8]=>01111110=>2
[1,9,8,7,6,5,2,3,4]=>01111100=>3
[1,10,9,8,7,6,5,3,2,4]=>011111110=>2
[1,9,8,7,6,3,4,2,5]=>01111010=>3
[1,10,9,8,7,6,4,3,2,5]=>011111110=>2
[1,9,8,7,4,5,3,2,6]=>01110110=>3
[1,10,9,8,7,5,4,3,2,6]=>011111110=>2
[1,9,8,5,6,4,3,2,7]=>01101110=>2
[1,10,9,8,6,5,4,3,2,7]=>011111110=>2
[1,8,4,5,6,3,2,7]=>0100110=>3
[1,9,6,7,5,4,3,2,8]=>01011110=>2
[1,10,9,7,6,5,4,3,2,8]=>011111110=>2
[1,7,8,6,5,4,3,2,9]=>00111110=>2
[1,10,8,7,6,5,4,3,2,9]=>011111110=>2
[8,5,1,7,4,6,3,2]=>1101011=>5
[3,4,8,1,6,7,2,5]=>0010010=>3
[3,6,7,8,4,1,5,2]=>0001101=>1
[2,3,7,8,4,6,1,5]=>0001010=>2
[1,3,7,8,4,6,2,5]=>0001010=>2
[3,1,7,8,4,6,2,5]=>1001010=>5
[4,3,8,1,6,7,2,5]=>1010010=>6
[4,8,7,3,6,1,2,5]=>0110100=>4
[5,8,4,3,7,1,2,6]=>0110100=>4
[4,1,8,3,7,5,2,6]=>1010110=>5
[2,4,8,3,6,7,1,5]=>0010010=>3
[1,6,5,8,7,3,2,4]=>0101110=>2
[5,6,4,8,7,2,1,3]=>0101110=>2
[7,2,6,8,3,5,1,4]=>1001010=>5
[7,2,8,6,5,3,1,4]=>1011110=>4
[4,8,3,7,6,1,2,5]=>0101100=>3
[2,8,4,7,1,3,6,5]=>0101001=>3
[8,9,2,3,4,5,6,1,7]=>01000010=>5
[7,8,9,2,3,4,5,1,6]=>00100010=>4
[6,7,8,9,2,3,4,1,5]=>00010010=>2
[5,6,7,8,9,2,3,1,4]=>00001010=>2
[9,10,2,3,4,5,6,7,1,8]=>010000010=>6
[8,9,10,2,3,4,5,6,1,7]=>001000010=>4
[7,8,9,2,3,4,1,5,6]=>00100100=>4
[7,8,9,10,2,3,4,5,1,6]=>000100010=>3
[6,7,8,9,2,3,1,4,5]=>00010100=>3
[5,6,7,8,9,10,2,3,1,4]=>000001010=>2
[4,5,6,7,8,1,9,2,3]=>00001010=>2
[4,5,6,7,8,9,10,2,1,3]=>000000110=>2
[6,8,3,4,5,2,1,7]=>0100110=>3
[3,7,1,4,5,6,2,8]=>0100010=>4
[7,9,3,4,5,6,2,1,8]=>01000110=>4
[3,9,2,1,5,6,7,8,4]=>01100001=>5
[3,6,1,4,5,2,7,8]=>0100100=>5
[3,8,1,4,5,6,7,2,9]=>01000010=>5
[8,10,3,4,5,6,7,2,1,9]=>010000110=>5
[6,9,3,4,5,2,7,1,8]=>01001010=>4
[3,8,2,4,5,1,7,6]=>0100101=>2
[3,9,2,4,1,6,7,8,5]=>01010001=>4
[3,7,2,1,5,6,4,8]=>0110010=>4
[3,6,8,1,5,4,7,2]=>0010101=>1
[3,8,9,1,5,6,7,4,2]=>00100011=>2
[3,10,2,1,5,6,7,8,9,4]=>011000001=>6
[3,7,1,4,5,6,2,8,9]=>01000100=>6
[3,9,1,4,5,6,7,8,2,10]=>010000010=>6
[1,7,4,6,3,5,2,8]=>0101010=>4
[1,3,6,5,7,2,4,8]=>0010100=>3
[1,7,2,5,6,4,3,8]=>0100110=>3
[1,6,8,5,4,3,7,2]=>0011101=>1
[2,5,7,8,4,3,1,6]=>0001110=>2
[6,8,5,3,2,4,1,7]=>0111010=>3
[1,6,8,5,3,2,7,4]=>0011101=>1
[4,6,1,8,7,5,3,2]=>0101111=>1
[1,3,7,6,8,5,2,4]=>0010110=>2
[4,1,7,8,6,5,2,3]=>1001110=>4
[5,4,3,7,6,1,2,8]=>1101100=>7
[4,7,6,1,2,3,8,5]=>0110001=>4
[4,5,2,6,7,8,1,3]=>0100010=>4
[2,8,7,6,5,4,3,1,9]=>01111110=>2
[2,1,4,9,8,7,6,5,3]=>10011111=>3
[3,7,6,5,4,2,1,9,8]=>01111101=>2
[3,2,1,6,9,8,7,5,4]=>11001111=>4
[4,6,5,3,2,1,9,8,7]=>01111011=>2
[1,7,6,2,3,8,5,4]=>0110011=>2
[4,5,1,3,7,6,2,8]=>0100110=>3
[7,2,3,8,6,4,5,1]=>1001101=>4
[1,5,4,3,8,6,2,7]=>0110110=>3
[1,3,7,5,8,4,6,2]=>0010101=>1
[7,8,1,5,3,4,6,2]=>0101001=>3
[7,3,5,4,1,6,2,8]=>1011010=>6
[3,5,7,1,6,4,2,8]=>0010110=>2
[3,7,5,6,1,4,2,8]=>0101010=>4
[1,7,5,6,3,4,8,2]=>0101001=>3
[5,3,1,2,7,8,4,6]=>1100010=>7
[5,1,3,7,8,2,6,4]=>1000101=>5
[5,8,1,2,7,6,4,3]=>0100111=>2
[1,6,7,4,5,3,2,8]=>0010110=>2
[1,4,2,6,7,5,3,8]=>0100110=>3
[1,8,2,4,6,5,3,7]=>0100110=>3
[7,2,1,6,4,3,8,5]=>1101101=>5
[1,4,8,7,2,3,6,5]=>0011001=>2
[4,1,3,6,5,8,2,7]=>1001010=>5
[4,3,7,1,5,8,2,6]=>1010010=>6
[1,8,6,5,2,7,4,3]=>0111011=>2
[1,8,6,2,7,4,3,5]=>0110110=>3
[7,2,6,4,1,8,5,3]=>1011011=>3
[6,4,1,8,3,7,5,2]=>1101011=>5
[4,5,8,7,3,6,2,1]=>0011011=>1
[3,5,4,1,7,8,6,2]=>0110011=>2
[2,9,8,7,6,1,5,4,3]=>01111011=>2
[6,8,7,2,1,5,4,3]=>0111011=>2
[4,9,8,7,6,5,2,1,3]=>01111110=>2
[5,9,8,7,6,2,1,4,3]=>01111101=>2
[2,10,9,8,7,6,1,5,4,3]=>011111011=>2
[6,9,8,7,2,1,5,4,3]=>01111011=>2
[7,9,8,2,1,6,5,4,3]=>01110111=>2
[2,10,9,8,1,7,6,5,4,3]=>011101111=>1
[8,9,2,1,7,6,5,4,3]=>01101111=>1
[2,10,9,1,8,7,6,5,4,3]=>011011111=>1
[8,1,6,3,7,5,4,2]=>1010111=>3
[8,5,1,3,7,6,4,2]=>1100111=>4
[8,3,6,5,4,2,1,7]=>1011110=>4
[6,1,3,5,7,2,8,4]=>1000101=>5
[1,6,7,5,8,4,2,3]=>0010110=>2
[7,4,1,6,5,2,8,3]=>1101101=>5
[7,4,2,8,6,5,3,1]=>1101111=>3
[6,8,4,7,3,2,5,1]=>0101101=>2
[5,8,7,3,2,1,6,4]=>0111101=>2
[5,8,7,2,6,4,3,1]=>0110111=>1
[6,8,7,3,5,1,4,2]=>0110101=>3
[7,2,5,6,8,3,4,1]=>1000101=>5
[1,6,5,7,8,3,2,4]=>0100110=>3
[8,6,7,2,3,5,4,1]=>1010011=>5
[5,4,8,6,7,3,1,2]=>1010110=>5
[4,2,7,3,1,6,8,5]=>1011001=>5
[7,3,6,4,2,1,8,5]=>1011101=>4
[4,8,5,2,7,3,1,6]=>0110110=>3
[6,4,3,1,8,5,2,7]=>1110110=>7
[7,4,3,1,5,8,6,2]=>1110011=>5
[7,4,8,6,5,3,1,2]=>1011110=>4
[4,8,5,2,6,7,3,1]=>0110011=>2
[7,3,2,1,8,5,6,4]=>1110101=>6
[7,8,1,9,2,3,4,5,6]=>01010000=>6
[6,7,8,1,9,2,3,4,5]=>00101000=>4
[5,6,7,8,1,9,2,3,4]=>00010100=>3
[9,1,2,3,4,5,7,6,8]=>10000010=>7
[2,1,3,4,5,9,6,7,8]=>10000100=>7
[1,5,7,2,4,3,8,6]=>0010101=>1
[1,2,7,5,8,4,3,6]=>0010110=>2
[5,1,3,8,2,7,4,6]=>1001010=>5
[5,7,1,3,2,8,4,6]=>0101010=>4
[7,1,6,3,2,8,4,5]=>1011010=>6
[8,1,7,2,3,6,5,4]=>1010011=>5
[7,1,2,6,4,3,8,5]=>1001101=>4
[1,4,7,8,3,2,5,6]=>0001100=>3
[8,7,1,3,2,4,6,5]=>1101001=>6
[8,1,6,3,2,4,7,5]=>1011001=>5
[1,8,2,7,6,3,5,4]=>0101101=>2
[8,1,6,3,2,7,4,5]=>1011010=>6
[8,2,1,7,6,3,4,5]=>1101100=>7
[6,8,4,3,5,1,2,7]=>0110100=>4
[8,7,3,5,4,1,2,6]=>1101100=>7
[6,3,8,5,7,2,1,4]=>1010110=>5
[8,7,3,6,4,1,2,5]=>1101100=>7
[5,2,7,4,6,1,3,8]=>1010100=>7
[8,7,2,3,5,1,4,6]=>1100100=>7
[7,6,3,4,1,8,2,5]=>1101010=>7
[6,3,5,2,8,1,4,7]=>1010100=>7
[6,4,5,3,1,7,2,8]=>1011010=>6
[8,7,2,4,3,1,5,6]=>1101100=>7
[7,6,2,3,1,4,8,5]=>1101001=>6
[4,7,6,2,3,1,5,8]=>0110100=>4
[4,7,6,1,3,2,8,5]=>0110101=>3
[7,2,6,5,4,3,1,9,8]=>10111101=>4
[3,2,1,9,5,8,7,6,4]=>11010111=>5
[6,3,5,4,2,1,9,8,7]=>10111011=>4
[4,3,2,1,9,7,8,6,5]=>11101011=>6
[2,8,1,3,5,6,4,7]=>0100010=>4
[2,6,3,4,7,8,5,1]=>0100011=>3
[7,6,3,1,8,5,2,4]=>1110110=>7
[7,2,1,3,6,8,5,4]=>1100011=>5
[7,6,3,8,1,5,2,4]=>1101010=>7
[1,6,4,7,8,5,3,2]=>0100111=>2
[7,2,5,8,6,1,3,4]=>1001100=>6
[4,1,3,6,2,5,8,7]=>1001001=>5
[7,1,4,6,3,2,5,8]=>1001100=>6
[7,4,5,8,6,2,3,1]=>1001101=>4
[6,7,2,3,8,4,1,5]=>0100110=>3
[1,5,2,6,8,7,4,3]=>0100111=>2
[1,2,3,4,5,6,8,9,7,10]=>000000010=>2
[1,8,3,7,5,2,6,4]=>0101101=>2
[8,1,3,6,5,2,7,4]=>1001101=>4
[7,1,3,8,5,2,6,4]=>1001101=>4
[4,7,1,5,2,6,8,3]=>0101001=>3
[7,4,1,5,2,6,8,3]=>1101001=>6
[3,1,6,7,5,2,8,4]=>1001101=>4
[8,6,2,4,5,1,7,3]=>1100101=>6
[8,6,7,5,2,1,4,3]=>1011101=>4
[7,1,4,5,2,6,8,3]=>1001001=>5
[4,1,6,2,3,8,7,5]=>1010011=>5
[4,1,7,6,5,2,8,3]=>1011101=>4
[8,4,1,5,6,2,7,3]=>1100101=>6
[8,4,5,3,6,1,7,2]=>1010101=>4
[2,8,4,7,3,5,6,1]=>0101001=>3
[1,5,4,8,3,2,6,7]=>0101100=>3
[1,5,7,6,3,8,2,4]=>0011010=>2
[2,6,3,1,7,8,4,5]=>0110010=>4
[2,1,7,8,3,5,4,6]=>1001010=>5
[1,5,8,6,7,4,2,3]=>0010110=>2
[8,7,1,3,5,2,6,4]=>1100101=>6
[3,7,8,2,5,4,1,6]=>0010110=>2
[4,7,6,5,8,1,3,2]=>0110101=>3
[4,7,8,6,2,1,5,3]=>0011101=>1
[4,8,6,3,2,1,7,5]=>0111101=>2
[5,1,4,7,6,8,3,2]=>1001011=>4
[5,6,4,7,1,8,3,2]=>0101011=>1
[5,3,7,4,6,1,8,2]=>1010101=>4
[4,1,5,7,8,6,3,2]=>1000111=>4
[3,6,7,1,5,4,8,2]=>0010101=>1
[3,6,4,7,5,8,2,1]=>0101011=>1
[9,1,2,3,4,8,6,5,7]=>10000110=>6
[9,1,2,3,8,5,6,4,7]=>10001010=>6
[8,1,2,9,4,5,6,3,7]=>10010010=>6
[9,1,8,3,4,5,6,2,7]=>10100010=>7
[7,1,2,3,4,9,5,8,6]=>10000101=>6
[10,1,2,3,4,5,9,7,6,8]=>100000110=>7
[6,1,2,3,8,4,5,9,7]=>10001001=>6
[10,1,2,3,4,9,6,7,5,8]=>100001010=>7
[5,1,2,8,3,4,6,9,7]=>10010001=>7
[9,1,2,3,10,5,6,7,4,8]=>100010010=>7
[4,1,9,2,3,5,6,8,7]=>10100001=>7
[10,1,2,9,4,5,6,7,3,8]=>100100010=>8
[3,8,1,2,4,5,6,9,7]=>01000001=>5
[10,1,9,3,4,5,6,7,2,8]=>101000010=>8
[8,2,1,3,4,5,6,9,7]=>11000001=>7
[8,1,2,3,4,5,10,6,9,7]=>100000101=>7
[11,1,2,3,4,5,6,10,8,7,9]=>1000000110=>8
[9,1,2,3,8,5,4,7,6]=>10001101=>5
[7,1,2,3,4,9,5,6,10,8]=>100001001=>7
[11,1,2,3,4,5,10,7,8,6,9]=>1000001010=>8
[6,1,2,3,9,4,7,8,5]=>10001001=>6
[6,1,2,3,9,4,5,7,10,8]=>100010001=>7
[5,1,2,8,3,6,4,9,7]=>10010101=>5
[5,1,2,10,3,4,6,7,9,8]=>100100001=>8
[9,8,2,1,4,5,6,7,3]=>11100001=>7
[8,1,7,3,2,4,5,6]=>1011000=>6
[4,1,8,2,5,3,6,9,7]=>10101001=>7
[4,1,9,2,3,5,6,7,10,8]=>101000001=>8
[3,9,1,4,2,5,6,8,7]=>01010001=>4
[3,9,1,2,4,5,6,7,10,8]=>010000001=>6
[8,2,3,1,4,5,6,9,7]=>10100001=>7
[10,2,1,3,4,5,6,7,9,8]=>110000001=>8
[6,4,7,1,5,2,8,3]=>1010101=>4
[4,8,1,3,5,2,7,6]=>0100101=>2
[1,6,5,2,8,7,4,3]=>0110111=>1
[2,3,4,5,7,8,1,9,6]=>00000101=>1
[1,3,4,5,2,6,7,8,9]=>00010000=>5
[1,2,3,4,5,7,8,6,9,10]=>000000100=>3
[2,3,4,5,7,9,1,6,8]=>00000100=>3
[1,2,3,4,5,7,8,9,6,10]=>000000010=>2
[2,3,4,5,1,6,7,9,8]=>00010001=>2
[4,5,6,1,7,8,9,2,3]=>00100010=>4
[2,1,4,5,3,6,7,8,9]=>10010000=>8
[2,4,5,6,1,7,8,9,10,3]=>000100001=>2
[1,3,2,5,4,6,7,8,9]=>01010000=>6
[2,3,5,6,1,7,8,9,10,4]=>000100001=>2
[4,1,7,2,5,8,3,6]=>1010010=>6
[3,2,5,8,6,1,7,4]=>1001101=>4
[4,5,1,7,2,8,6,3]=>0101011=>1
[2,8,5,3,6,7,4,1]=>0110011=>2
[2,3,4,5,9,8,6,7,1]=>00001101=>1
[2,3,4,9,7,5,8,6,1]=>00011011=>1
[2,3,9,6,4,7,8,5,1]=>00110011=>2
[8,3,5,2,6,7,4,1]=>1010011=>5
[2,8,6,3,4,7,5,1]=>0110011=>2
[2,9,5,3,6,7,8,4,1]=>01100011=>3
[9,4,2,5,6,7,8,3,1]=>11000011=>6
[6,4,7,2,5,3,1,8]=>1010110=>5
[7,1,4,3,6,8,2,5]=>1010010=>6
[6,3,1,5,4,8,7,2]=>1101011=>5
[4,1,6,2,8,3,5,7,9]=>10101000=>8
[4,1,6,2,8,3,9,5,7]=>10101010=>8
[4,1,6,2,7,3,8,5,9]=>10101010=>8
[7,1,3,8,5,4,2,6]=>1001110=>4
[4,8,7,3,5,1,6,2]=>0110101=>3
[5,3,8,7,1,6,2,4]=>1011010=>6
[3,4,1,6,2,8,7,5]=>0101011=>1
[5,2,6,7,4,3,1,8]=>1001110=>4
[8,5,1,6,4,3,2,7]=>1101110=>6
[8,6,3,5,2,7,1,4]=>1101010=>7
[8,4,6,2,1,5,7,3]=>1011001=>5
[8,5,2,1,6,4,7,3]=>1110101=>6
[1,7,2,8,5,4,6,3]=>0101101=>2
[6,7,1,4,8,5,3,2]=>0100111=>2
[7,3,2,8,5,1,4,6]=>1101100=>7
[4,1,7,3,2,8,5,6]=>1011010=>6
[8,3,5,2,4,7,1,6]=>1010010=>6
[4,3,7,8,6,1,5,2]=>1001101=>4
[1,2,6,3,7,8,5,4]=>0010011=>1
[6,1,3,7,8,5,4,2]=>1000111=>4
[8,7,9,1,4,5,6,2,3]=>10100010=>7
[7,6,9,1,4,5,2,8,3]=>10100101=>6
[9,8,10,1,4,5,6,7,2,3]=>101000010=>8
[2,6,4,7,5,3,1,8]=>0101110=>2
[5,6,3,7,2,8,4,1]=>0101011=>1
[4,5,1,8,6,2,7,3]=>0101101=>2
[5,6,1,8,7,2,3,4]=>0101100=>3
[4,5,1,6,8,7,3,2]=>0100111=>2
[3,9,2,4,5,6,7,8,1]=>01000001=>5
[3,8,6,1,5,2,4,7]=>0110100=>4
[3,2,8,1,5,6,4,7]=>1010010=>6
[5,8,7,3,2,1,4,6]=>0111100=>3
[3,4,7,6,8,2,1,5]=>0010110=>2
[2,8,1,3,7,5,6,4]=>0100101=>2
[1,8,7,2,5,6,4,3]=>0110011=>2
[3,4,7,1,5,8,2,6]=>0010010=>3
[4,2,7,1,5,8,3,6]=>1010010=>6
[1,3,5,2,4,6,7,8,9]=>00100000=>6
[4,1,2,3,5,6,8,7,9]=>10000010=>7
[1,2,4,7,3,5,6,8,9]=>00010000=>5
[5,1,2,3,4,7,6,8,9]=>10000100=>7
[2,4,6,3,5,1,7,8]=>0010100=>3
[4,1,6,2,5,8,3,7]=>1010010=>6
[1,8,2,5,7,3,4,6]=>0100100=>5
[1,4,6,3,8,5,2,7]=>0010110=>2
[4,5,6,3,1,7,2,8]=>0011010=>2
[3,4,6,2,5,1,7,8]=>0010100=>3
[1,4,7,5,2,3,6,8]=>0011000=>4
[1,4,6,5,8,2,3,7]=>0010100=>3
[1,4,8,3,7,6,2,5]=>0010110=>2
[1,4,5,3,7,2,6,8]=>0010100=>3
[2,5,7,6,8,3,4,1]=>0010101=>1
[3,1,6,7,2,8,5,4]=>1001011=>4
[1,5,3,6,8,4,7,2]=>0100101=>2
[6,5,1,3,8,4,7,2]=>1100101=>6
[1,7,4,8,5,3,2,6]=>0101110=>2
[7,3,1,6,8,4,5,2]=>1100101=>6
[8,5,1,4,6,7,3,2]=>1100011=>5
[3,4,7,5,6,8,2,1]=>0010011=>1
[3,4,7,8,5,2,6,1]=>0001101=>1
[7,4,2,3,6,5,1,8]=>1100110=>6
[7,2,4,3,1,5,6,8]=>1011000=>6
[6,3,1,4,8,5,7,2]=>1100101=>6
[6,3,5,4,8,7,1,2]=>1010110=>5
[2,6,4,3,1,7,5,8]=>0111010=>3
[4,8,1,7,5,6,3,2]=>0101011=>1
[1,5,7,2,8,4,6,3]=>0010101=>1
[5,8,7,2,3,6,4,1]=>0110011=>2
[4,6,5,1,2,3,7,8]=>0110000=>5
[1,8,7,5,2,6,3,4]=>0111010=>3
[1,7,6,3,4,5,8,2]=>0110001=>4
[1,8,7,4,5,6,2,3]=>0110010=>4
[1,8,7,3,6,4,2,5]=>0110110=>3
[1,4,7,5,8,2,6,3]=>0010101=>1
[1,4,7,2,3,6,5,8]=>0010010=>3
[1,7,2,5,6,3,4,8]=>0100100=>5
[1,2,6,5,8,3,4,7]=>0010100=>3
[1,5,8,2,6,3,4,7]=>0010100=>3
[6,8,3,2,7,5,1,4]=>0110110=>3
[7,3,6,8,1,2,5,4]=>1001001=>5
[4,1,5,7,2,6,3,8]=>1001010=>5
[5,7,2,1,3,6,4,8]=>0110010=>4
[7,1,10,9,2,3,4,5,6,8]=>101100000=>8
[6,7,9,1,2,3,4,5,10,8]=>001000001=>4
[2,8,1,9,10,3,4,5,6,7]=>010010000=>7
[8,7,1,10,2,3,4,5,6,9]=>110100000=>9
[3,5,6,7,2,4,1,8]=>0001010=>2
[6,4,7,5,2,3,1,8]=>1011010=>6
[1,5,6,4,8,3,2,7]=>0010110=>2
[2,1,5,6,4,8,3,7]=>1001010=>5
[5,1,4,7,8,6,2,3]=>1000110=>5
[1,6,7,2,8,5,4,3]=>0010111=>1
[5,3,2,1,7,8,6,4]=>1110011=>5
[7,4,3,8,6,1,5,2]=>1101101=>5
[4,3,7,1,5,8,6,2]=>1010011=>5
[8,2,4,5,3,1,7,6]=>1001101=>4
[1,4,3,2,7,5,8,6]=>0110101=>3
[1,5,2,8,6,3,10,9,7,4]=>010110111=>1
[4,1,5,2,8,6,3,10,9,7]=>101011011=>4
[1,7,5,2,8,6,3,10,9,4]=>011011011=>3
[4,1,7,5,2,8,3,10,9,6]=>101101011=>5
[6,4,1,7,5,2,8,3,10,9]=>110110101=>8
[3,4,1,7,2,8,5,10,9,6]=>010101011=>1
[3,6,4,1,7,2,8,5,10,9]=>011010101=>4
[1,5,2,9,8,6,3,10,7,4]=>010111011=>1
[4,1,5,2,9,8,6,3,10,7]=>101011101=>4
[1,7,5,2,9,6,3,10,8,4]=>011011011=>3
[4,1,7,5,2,9,3,10,8,6]=>101101011=>5
[4,1,9,6,5,2,7,3,10,8]=>101110101=>6
[3,4,1,7,2,9,5,10,8,6]=>010101011=>1
[3,6,1,9,4,2,7,5,10,8]=>010110101=>3
[1,8,7,5,2,9,6,3,10,4]=>011101101=>3
[4,1,8,7,5,2,9,3,10,6]=>101110101=>6
[6,4,1,8,5,2,9,3,10,7]=>110110101=>8
[7,6,4,1,8,5,2,9,3,10]=>111011010=>9
[3,4,1,8,7,2,9,5,10,6]=>010110101=>3
[3,6,4,1,8,2,9,5,10,7]=>011010101=>4
[3,7,6,4,1,8,2,9,5,10]=>011101010=>4
[1,9,6,5,2,7,3,10,8,4]=>011101011=>3
[6,1,9,4,2,7,3,10,8,5]=>101101011=>5
[5,4,1,9,6,2,7,3,10,8]=>110110101=>8
[9,3,1,6,2,7,4,10,8,5]=>110101011=>7
[9,5,3,1,6,2,7,4,10,8]=>111010101=>8
[6,1,8,5,2,9,7,3,10,4]=>101101101=>6
[6,4,1,8,2,9,7,3,10,5]=>110101101=>7
[8,5,4,1,6,2,9,3,10,7]=>111010101=>8
[5,7,4,1,8,6,2,9,3,10]=>011011010=>4
[3,6,1,8,2,9,7,4,10,5]=>010101101=>2
[5,8,3,1,6,2,9,4,10,7]=>011010101=>4
[5,3,7,1,8,6,2,9,4,10]=>101011010=>7
[4,3,8,1,9,5,2,6,10,7]=>101011001=>6
[7,4,3,5,1,8,2,9,6,10]=>110101010=>9
[9,6,2,1,3,7,4,10,8,5]=>111001011=>7
[5,9,2,1,6,3,7,4,10,8]=>011010101=>4
[6,8,2,1,3,9,7,4,10,5]=>011001101=>3
[8,2,5,1,6,3,9,4,10,7]=>101010101=>5
[2,5,7,1,8,6,3,9,4,10]=>001011010=>2
[2,4,8,1,9,5,3,6,10,7]=>001011001=>2
[4,8,7,2,6,1,3,5]=>0110100=>4
[4,5,8,2,1,7,3,6]=>0011010=>2
[6,8,4,1,7,3,2,5]=>0110110=>3
[5,6,4,3,2,1,7,8,9]=>01111000=>4
[5,6,4,3,2,1,7,8,9,10]=>011110000=>5
[4,5,3,2,1,6,7,8,9]=>01110000=>5
[6,7,5,4,3,2,1,8,9,10]=>011111000=>4
[6,7,4,3,2,1,5,8,9]=>01111000=>4
[5,6,4,3,2,7,1,8,9]=>01110100=>4
[7,5,4,3,1,2,6,8,9]=>11110000=>8
[6,5,4,3,7,1,2,8,9]=>11101000=>8
[7,6,5,4,3,1,2,8,9,10,11]=>1111100000=>10
[6,7,9,8,5,4,3,2,1]=>00111111=>1
[7,6,8,9,5,4,3,2,1]=>10011111=>3
[7,8,10,9,6,5,4,3,2,1]=>001111111=>1
[6,7,5,9,8,4,3,2,1]=>01011111=>1
[5,7,9,8,6,4,3,2,1]=>00111111=>1
[7,6,8,5,9,4,3,2,1]=>10101111=>3
[6,5,8,9,7,4,3,2,1]=>10011111=>3
[8,7,9,10,6,5,4,3,2,1]=>100111111=>3
[6,3,1,8,2,7,5,4]=>1101011=>5
[6,4,1,3,2,5,7,8]=>1101000=>7
[4,1,7,8,3,2,5,6]=>1001100=>6
[5,4,7,1,3,6,2,8]=>1010010=>6
[7,6,2,8,4,5,3,1]=>1101011=>5
[5,8,2,1,3,6,4,7]=>0110010=>4
[7,6,4,3,5,2,1,9,8]=>11101101=>7
[7,6,3,5,4,2,1,9,8]=>11011101=>6
[8,5,1,7,3,4,6,2]=>1101001=>6
[5,7,6,3,4,1,8,2]=>0110101=>3
[7,8,9,10,1,5,6,3,4,2]=>000100101=>1
[1,8,3,5,2,6,4,7]=>0101010=>4
[3,4,6,1,8,5,7,2]=>0010101=>1
[2,3,8,7,4,5,1,6]=>0011010=>2
[1,8,3,5,7,4,2,6]=>0100110=>3
[2,5,8,4,6,7,1,3]=>0010010=>3
[9,8,6,1,2,3,4,5,7]=>11100000=>8
[9,8,7,5,1,2,3,4,6]=>11110000=>8
[9,8,7,6,4,1,2,3,5]=>11111000=>8
[9,8,7,6,5,3,1,2,4]=>11111100=>8
[7,1,2,6,4,3,5,8]=>1001100=>6
[7,1,2,6,5,3,4,8]=>1001100=>6
[4,7,8,6,2,3,5,1]=>0011001=>2
[7,1,2,4,8,6,5,3]=>1000111=>4
[2,7,5,6,4,8,1,3]=>0101010=>4
[2,8,3,6,5,7,1,4]=>0101010=>4
[9,8,4,7,6,5,3,2,1]=>11011111=>3
[9,8,3,7,6,5,4,2,1]=>11011111=>3
[9,3,8,7,6,5,4,2,1]=>10111111=>2
[9,2,8,7,6,5,4,3,1]=>10111111=>2
[10,9,8,5,7,6,4,3,2,1]=>111011111=>4
[9,8,4,6,5,7,3,2,1]=>11010111=>5
[10,9,8,4,7,6,5,3,2,1]=>111011111=>4
[9,8,3,6,5,4,7,2,1]=>11011011=>5
[10,9,4,8,7,6,5,3,2,1]=>110111111=>3
[9,3,7,6,5,4,8,2,1]=>10111011=>4
[9,2,7,6,5,4,3,8,1]=>10111101=>4
[10,3,9,8,7,6,5,4,2,1]=>101111111=>2
[10,2,9,8,7,6,5,4,3,1]=>101111111=>2
[7,4,3,1,6,5,2,8]=>1110110=>7
[3,5,1,2,6,8,7,4]=>0100011=>3
[3,1,2,4,8,7,5,6]=>1000110=>5
[5,4,1,2,3,7,8,6]=>1100001=>6
[1,6,7,2,5,8,3,4]=>0010010=>3
[7,8,5,6,2,4,3,1]=>0101011=>1
[5,3,8,6,2,4,1,7]=>1011010=>6
[2,7,4,6,3,8,1,5]=>0101010=>4
[5,4,7,8,6,2,1,3]=>1001110=>4
[2,7,4,8,3,1,5,6]=>0101100=>3
[8,2,1,3,7,4,6,5]=>1100101=>6
[6,5,8,2,3,4,7,1]=>1010001=>6
[7,8,2,3,6,4,5,1]=>0100101=>2
[8,1,2,7,5,3,4,6]=>1001100=>6
[4,2,8,1,3,7,5,6]=>1010010=>6
[7,5,1,8,2,3,4,6]=>1101000=>7
[8,2,4,1,3,7,5,6]=>1010010=>6
[8,1,6,2,3,7,4,5]=>1010010=>6
[7,1,8,2,3,6,4,5]=>1010010=>6
[4,2,6,7,5,1,8,3]=>1001101=>4
[4,7,2,5,3,8,1,6]=>0101010=>4
[3,5,7,4,2,8,1,6]=>0011010=>2
[2,4,7,6,3,8,1,5]=>0011010=>2
[4,6,8,5,1,2,3,7]=>0011000=>4
[4,6,5,7,1,2,3,8]=>0101000=>5
[4,6,5,7,1,3,8,2]=>0101001=>3
[3,4,7,6,1,8,2,5]=>0011010=>2
[8,5,2,1,6,3,4,7]=>1110100=>7
[7,1,8,5,3,2,4,6]=>1011100=>5
[9,10,2,1,6,4,3,5,7,8]=>011011000=>5
[7,10,2,1,8,4,3,5,6,9]=>011011000=>5
[2,9,1,10,7,4,3,5,6,8]=>010111000=>4
[2,8,1,9,4,3,10,5,6,7]=>010110100=>4
[10,8,5,2,1,6,3,4,7,9]=>111101000=>9
[9,5,2,1,10,6,3,4,7,8]=>111011000=>9
[10,7,2,1,8,5,3,4,6,9]=>111011000=>9
[9,2,1,10,7,5,3,4,6,8]=>110111000=>8
[2,8,1,9,3,10,5,4,6,7]=>010101100=>3
[10,6,2,1,7,3,8,4,5,9]=>111010100=>9
[9,2,1,10,6,3,7,4,5,8]=>110110100=>9
[8,2,1,9,3,10,6,4,5,7]=>110101100=>9
[7,2,1,8,3,9,4,10,5,6]=>110101010=>9
[10,8,6,3,1,4,2,5,7,9]=>111101000=>9
[3,9,1,10,6,4,2,5,7,8]=>010111000=>4
[10,7,3,1,8,4,2,5,6,9]=>111011000=>9
[9,3,1,10,7,4,2,5,6,8]=>110111000=>8
[8,3,1,9,4,2,10,5,6,7]=>110110100=>9
[10,8,5,1,6,3,2,4,7,9]=>111011000=>9
[9,5,1,10,6,3,2,4,7,8]=>110111000=>8
[10,7,1,8,5,3,2,4,6,9]=>110111000=>8
[9,1,10,7,5,3,2,4,6,8]=>101111000=>6
[8,3,1,9,2,10,5,4,6,7]=>110101100=>9
[10,6,1,7,3,2,8,4,5,9]=>110110100=>9
[9,1,10,6,3,2,7,4,5,8]=>101110100=>7
[8,1,9,3,2,10,6,4,5,7]=>101101100=>7
[7,1,8,3,2,9,4,10,5,6]=>101101010=>8
[10,8,4,1,5,2,6,3,7,9]=>111010100=>9
[9,4,1,10,5,2,6,3,7,8]=>110110100=>9
[10,7,1,8,4,2,5,3,6,9]=>110110100=>9
[9,1,10,7,4,2,5,3,6,8]=>101110100=>7
[8,1,9,4,2,10,5,3,6,7]=>101101100=>7
[10,6,1,7,2,8,4,3,5,9]=>110101100=>9
[9,1,10,6,2,7,4,3,5,8]=>101101100=>7
[8,1,9,2,10,6,4,3,5,7]=>101011100=>6
[7,1,8,2,9,4,3,10,5,6]=>101011010=>7
[10,5,1,6,2,7,3,8,4,9]=>110101010=>9
[9,1,10,5,2,6,3,7,4,8]=>101101010=>8
[8,1,9,2,10,5,3,6,4,7]=>101011010=>7
[7,1,8,2,9,3,10,5,4,6]=>101010110=>6
[8,6,1,3,2,7,5,4]=>1101011=>5
[8,1,7,5,2,4,6,3]=>1011001=>5
[8,2,7,5,4,1,6,3]=>1011101=>4
[8,6,1,2,7,3,5,4]=>1100101=>6
[4,2,8,5,7,1,6,3]=>1010101=>4
[6,8,7,4,5,3,2,1]=>0110111=>1
[5,2,6,7,4,8,3,1]=>1001011=>4
[6,5,8,1,7,3,2,4]=>1010110=>5
[6,4,8,1,5,2,3,7]=>1010100=>7
[7,2,4,1,6,3,5,8]=>1010100=>7
[4,2,1,3,6,5,8,7,9]=>11001010=>8
[4,2,1,3,6,5,8,7,10,9]=>110010101=>8
[6,2,1,4,3,5,8,7,9]=>11010010=>8
[2,6,1,5,3,4,8,7]=>0101001=>3
[3,8,7,5,4,2,6,1]=>0111101=>2
[5,7,8,2,3,6,4,1]=>0010011=>1
[2,8,7,3,1,4,5,6]=>0111000=>4
[5,6,1,2,4,7,8,3]=>0100001=>4
[10,2,3,1,4,5,6,7,8,9]=>101000000=>9
[9,2,3,4,1,5,6,7,8]=>10010000=>8
[9,8,4,5,7,6,3,2,1]=>11001111=>4
[9,8,5,4,6,7,3,2,1]=>11100111=>5
[10,9,8,6,5,7,4,3,2,1]=>111101111=>5
[10,9,8,4,5,7,6,3,2,1]=>111001111=>5
[9,8,4,5,3,7,6,2,1]=>11010111=>5
[9,8,3,5,7,6,4,2,1]=>11001111=>4
[9,8,5,4,6,3,7,2,1]=>11101011=>6
[9,8,4,3,6,7,5,2,1]=>11100111=>5
[10,9,8,5,4,6,7,3,2,1]=>111100111=>6
[3,8,6,7,5,4,2,1]=>0101111=>1
[7,8,5,1,4,6,2,3]=>0110010=>4
[8,2,7,5,4,6,1,3]=>1011010=>6
[8,4,7,6,3,1,2,5]=>1011100=>5
[4,6,7,1,3,2,8,5]=>0010101=>1
[6,4,7,5,3,2,8,1]=>1011101=>4
[8,4,6,3,1,5,7,2]=>1011001=>5
[7,3,1,4,5,6,8,2]=>1100001=>6
[6,7,3,4,2,1,8,5]=>0101101=>2
[6,4,8,3,1,5,7,2]=>1011001=>5
[7,4,2,3,5,1,8,6]=>1100101=>6
[3,1,6,5,2,4,8,7]=>1011001=>5
[2,5,3,8,6,4,1,7]=>0101110=>2
[5,8,4,1,3,2,7,6]=>0110101=>3
[5,3,4,7,6,1,8,2]=>1001101=>4
[4,5,2,1,6,3,8,7]=>0110101=>3
[4,5,2,1,6,7,3,8]=>0110010=>4
[5,3,8,6,2,4,7,1]=>1011001=>5
[2,5,1,6,4,3,8,7]=>0101101=>2
[3,6,2,8,5,7,1,4]=>0101010=>4
[4,6,8,1,5,7,2,3]=>0010010=>3
[4,1,2,5,7,6,3,8]=>1000110=>5
[4,6,5,8,1,7,3,2]=>0101011=>1
[2,1,3,6,4,8,7,5]=>1001011=>4
[4,8,1,2,7,5,6,3]=>0100101=>2
[1,6,4,3,8,7,5,2]=>0110111=>1
[4,5,1,6,8,7,2,3]=>0100110=>3
[2,5,1,8,6,4,7,3]=>0101101=>2
[2,5,8,7,3,1,4,6]=>0011100=>3
[9,8,7,4,3,2,1,5,6]=>11111100=>8
[9,8,7,6,3,2,1,4,5]=>11111100=>8
[3,8,7,2,6,1,4,5]=>0110100=>4
[8,4,5,1,6,7,2,3]=>1010010=>6
[8,4,7,3,1,5,2,6]=>1011010=>6
[2,5,1,8,3,6,4,7]=>0101010=>4
[5,8,4,7,3,2,1,6]=>0101110=>2
[5,6,8,4,2,7,1,3]=>0011010=>2
[4,3,8,6,1,2,5,7]=>1011000=>6
[4,8,6,5,7,1,3,2]=>0110101=>3
[7,2,3,5,6,8,4,1]=>1000011=>5
[5,8,1,3,4,7,2,6]=>0100010=>4
[8,3,4,2,7,6,1,5]=>1010110=>5
[8,7,5,6,4,1,3,2]=>1101101=>5
[8,7,4,2,3,6,5,1]=>1110011=>5
[8,4,2,3,7,6,5,1]=>1100111=>4
[7,2,4,5,3,1,6,8]=>1001100=>6
[7,6,3,1,4,5,8,2]=>1110001=>6
[5,4,1,7,8,6,2,3]=>1100110=>6
[5,3,4,7,8,1,6,2]=>1000101=>5
[4,3,7,6,5,1,8,2]=>1011101=>4
[5,1,4,8,2,3,7,6]=>1001001=>5
[3,2,8,5,4,1,6,7]=>1011100=>5
[7,8,9,1,3,4,5,6,2]=>00100001=>3
[1,2,8,3,4,6,5,7]=>0010010=>3
[8,1,2,7,3,5,4,6]=>1001010=>5
[5,7,1,2,6,3,4,8]=>0100100=>5
[1,2,7,5,6,3,4,8]=>0010100=>3
[5,1,4,7,2,3,6,8]=>1001000=>7
[4,8,1,2,3,6,5,7]=>0100010=>4
[1,3,4,2,5,6,7,8,9]=>00100000=>6
[1,2,4,5,6,3,7,8,9]=>00001000=>4
[1,2,3,5,6,7,8,4,9]=>00000010=>2
[2,1,5,3,6,7,4,8,9]=>10100100=>8
[1,3,5,6,4,2,7,8,9]=>00011000=>4
[3,5,2,1,6,4,7,8,9]=>01101000=>5
[2,1,3,6,4,7,8,9,5]=>10010001=>7
[1,3,4,6,7,2,8,5,9]=>00001010=>2
[3,2,6,1,4,7,8,5,9]=>10100010=>7
[2,4,6,1,7,5,3,8,9]=>00101100=>3
[4,6,3,2,1,7,5,8,9]=>01110100=>4
[2,4,1,7,5,8,3,9,6]=>01010101=>4
[4,3,7,2,1,5,8,9,6]=>10110001=>6
[1,3,5,7,8,6,4,2,9]=>00001110=>2
[3,5,7,2,1,8,6,4,9]=>00110110=>2
[5,7,4,3,2,1,8,6,9]=>01111010=>3
[2,4,6,8,1,9,7,5,3]=>00010111=>1
[4,6,8,3,2,1,9,7,5]=>00111011=>1
[6,8,5,4,3,2,1,9,7]=>01111101=>2
[1,3,4,2,5,6,7,8,9,10]=>001000000=>7
[1,2,4,5,6,3,7,8,9,10]=>000010000=>5
[1,2,3,5,6,7,8,4,9,10]=>000000100=>3
[2,1,5,3,6,7,4,8,9,10]=>101001000=>9
[1,3,5,6,4,2,7,8,9,10]=>000110000=>5
[3,5,2,1,6,4,7,8,9,10]=>011010000=>6
[2,1,3,6,4,7,8,9,5,10]=>100100010=>8
[1,3,4,6,7,2,8,5,9,10]=>000010100=>3
[3,2,6,1,4,7,8,5,9,10]=>101000100=>9
[2,4,6,1,7,5,3,8,9,10]=>001011000=>4
[4,6,3,2,1,7,5,8,9,10]=>011101000=>5
[1,3,4,2,7,8,5,9,10,6]=>001001001=>3
[3,2,1,7,4,5,8,9,10,6]=>110100001=>8
[1,2,4,5,7,8,9,6,3,10]=>000000110=>2
[4,3,7,2,1,5,8,9,6,10]=>101100010=>8
[1,3,5,7,8,6,4,2,9,10]=>000011100=>3
[3,5,7,2,1,8,6,4,9,10]=>001101100=>3
[5,7,4,3,2,1,8,6,9,10]=>011110100=>4
[2,1,5,3,8,6,9,10,7,4]=>101010011=>7
[1,3,5,6,8,9,4,2,10,7]=>000001101=>1
[3,5,2,8,1,6,9,4,10,7]=>010100101=>3
[5,4,8,3,2,1,6,9,10,7]=>101110001=>6
[2,4,6,8,1,9,7,5,3,10]=>000101110=>2
[4,6,8,3,2,1,9,7,5,10]=>001110110=>2
[6,8,5,4,3,2,1,9,7,10]=>011111010=>3
[3,5,7,9,2,1,10,8,6,4]=>000110111=>1
[5,7,9,4,3,2,1,10,8,6]=>001111011=>1
[7,9,6,5,4,3,2,1,10,8]=>011111101=>2
[6,2,3,8,7,1,4,5]=>1001100=>6
[8,2,3,6,4,7,5,1]=>1001011=>4
[7,2,3,6,4,8,1,5]=>1001010=>5
[4,5,6,3,7,2,8,1,9]=>00101010=>2
[1,5,6,7,4,8,3,9,2]=>00010101=>1
[5,4,1,6,2,7,8,3]=>1101001=>6
[7,1,3,5,4,2,8,6]=>1001101=>4
[7,6,8,2,4,5,3,1]=>1010011=>5
[4,2,8,6,5,1,3,7]=>1011100=>5
[3,8,5,4,7,1,2,6]=>0110100=>4
[1,4,8,3,6,2,7,5]=>0010101=>1
[6,3,2,4,8,7,1,5]=>1100110=>6
[8,3,2,7,4,1,5,6]=>1101100=>7
[7,3,2,6,5,8,1,4]=>1101010=>7
[3,6,2,5,7,4,8,1]=>0100101=>2
[2,7,1,5,8,6,4,3]=>0100111=>2
[7,2,4,1,6,8,5,3]=>1010011=>5
[6,4,7,2,3,8,5,1]=>1010011=>5
[6,1,8,5,7,4,2,3]=>1010110=>5
[7,1,4,3,6,5,8,2]=>1010101=>4
[7,1,5,6,3,4,8,2]=>1001001=>5
[6,1,8,5,4,7,3,2]=>1011011=>3
[7,6,1,5,4,2,8,3]=>1101101=>5
[5,1,6,8,7,2,4,3]=>1001101=>4
[4,6,7,5,3,1,8,2]=>0011101=>1
[5,3,2,6,8,7,4,1]=>1100111=>4
[5,4,6,2,8,7,3,1]=>1010111=>3
[4,5,8,6,7,2,3,1]=>0010101=>1
[4,5,7,6,1,2,8,3]=>0011001=>2
[4,6,5,7,2,1,8,3]=>0101101=>2
[2,3,7,5,6,1,10,9,4,8]=>001010110=>2
[2,3,4,10,6,9,8,5,1,7]=>000101110=>2
[2,3,6,5,9,10,8,4,1,7]=>001001110=>2
[2,3,9,5,8,7,4,1,10,6]=>001011101=>1
[2,5,4,9,6,10,8,3,1,7]=>010101110=>2
[2,5,4,8,9,7,3,1,10,6]=>010011101=>2
[2,3,4,10,6,7,1,9,8,5]=>000101011=>1
[2,3,7,5,6,1,10,9,8,4]=>001010111=>1
[2,3,4,10,6,8,9,1,7,5]=>000100101=>1
[2,3,6,5,8,10,9,1,7,4]=>001001101=>1
[2,3,8,5,7,9,1,10,6,4]=>001001011=>1
[2,5,4,8,6,10,9,1,7,3]=>010101101=>2
[2,5,4,7,8,9,1,10,6,3]=>010001011=>3
[2,3,4,10,6,9,8,7,5,1]=>000101111=>1
[2,3,6,5,9,10,8,7,4,1]=>001001111=>1
[2,3,7,5,9,8,10,6,4,1]=>001010111=>1
[2,3,9,5,8,7,6,4,1,10]=>001011110=>2
[2,5,4,9,6,10,8,7,3,1]=>010101111=>1
[2,5,4,9,7,8,10,6,3,1]=>010100111=>3
[2,5,4,8,9,7,6,3,1,10]=>010011110=>3
[2,3,4,10,7,9,8,1,6,5]=>000101101=>1
[2,3,5,7,10,9,8,1,6,4]=>000011101=>1
[2,3,8,6,9,7,1,10,5,4]=>001011011=>1
[2,4,7,5,10,9,8,1,6,3]=>001011101=>1
[2,4,6,8,9,7,1,10,5,3]=>000011011=>1
[2,3,4,10,7,8,9,6,5,1]=>000100111=>1
[2,3,5,7,10,8,9,6,4,1]=>000010111=>1
[2,3,7,6,8,9,10,5,4,1]=>001000111=>2
[2,3,9,6,7,8,5,4,1,10]=>001001110=>2
[2,4,7,5,10,8,9,6,3,1]=>001010111=>1
[2,4,6,7,8,9,10,5,3,1]=>000000111=>1
[2,4,6,9,7,8,5,3,1,10]=>000101110=>2
[2,6,5,8,9,7,10,4,3,1]=>010010111=>2
[2,6,5,7,8,9,4,3,1,10]=>010001110=>4
[3,7,4,5,10,9,8,1,6,2]=>010011101=>2
[3,6,4,8,9,7,1,10,5,2]=>010011011=>2
[3,7,4,5,10,8,9,6,2,1]=>010010111=>2
[3,6,4,7,8,9,10,5,2,1]=>010000111=>4
[3,6,4,9,7,8,5,2,1,10]=>010101110=>2
[3,5,6,8,9,7,10,4,2,1]=>000010111=>1
[3,5,6,7,8,9,4,2,1,10]=>000001110=>2
[7,4,8,6,3,5,1,2]=>1011010=>6
[7,2,4,3,6,1,8,5]=>1010101=>4
[2,3,4,7,8,6,1,5]=>0000110=>2
[6,3,7,1,4,2,8,5]=>1010101=>4
[4,3,2,7,6,5,1,9,8,10]=>110111010=>8
[4,3,2,1,7,6,9,8,5,10]=>111010110=>9
[4,3,2,7,6,1,9,8,5,10]=>110110110=>9
[4,3,2,7,6,9,8,5,1,10]=>110101110=>7
[4,3,7,6,2,1,9,8,5,10]=>101110110=>6
[4,3,7,6,2,9,8,5,1,10]=>101101110=>5
[4,3,2,1,7,6,5,9,10,8]=>111011001=>8
[4,3,2,7,6,5,1,9,10,8]=>110111001=>7
[4,3,2,1,7,6,9,5,10,8]=>111010101=>8
[4,3,2,7,6,1,9,5,10,8]=>110110101=>8
[4,3,2,7,6,9,5,1,10,8]=>110101101=>7
[4,3,7,6,2,1,9,5,10,8]=>101110101=>6
[4,3,7,6,2,9,5,1,10,8]=>101101101=>6
[4,3,2,1,7,6,9,10,8,5]=>111010011=>7
[4,3,2,7,6,1,9,10,8,5]=>110110011=>7
[4,3,2,7,6,9,1,10,8,5]=>110101011=>7
[4,3,2,7,6,9,10,8,5,1]=>110100111=>6
[4,3,7,6,2,1,9,10,8,5]=>101110011=>5
[4,3,7,6,2,9,1,10,8,5]=>101101011=>5
[4,3,7,6,2,9,10,8,5,1]=>101100111=>5
[4,3,2,1,7,9,6,5,10,8]=>111001101=>8
[4,3,2,7,1,9,6,5,10,8]=>110101101=>7
[4,3,2,7,9,6,5,1,10,8]=>110011101=>6
[4,3,7,2,1,9,6,5,10,8]=>101101101=>6
[4,3,7,2,9,6,5,1,10,8]=>101011101=>4
[4,3,2,1,7,9,6,10,8,5]=>111001011=>7
[4,3,2,7,1,9,6,10,8,5]=>110101011=>7
[4,3,2,7,9,6,1,10,8,5]=>110011011=>6
[4,3,2,7,9,6,10,8,5,1]=>110010111=>6
[4,3,7,2,1,9,6,10,8,5]=>101101011=>5
[4,3,7,2,9,6,1,10,8,5]=>101011011=>4
[4,3,7,2,9,6,10,8,5,1]=>101010111=>4
[4,3,7,9,6,2,1,10,8,5]=>100111011=>4
[4,3,7,9,6,2,10,8,5,1]=>100110111=>4
[4,7,3,2,1,9,6,5,10,8]=>011101101=>3
[4,7,3,2,9,6,5,1,10,8]=>011011101=>2
[4,7,3,2,1,9,6,10,8,5]=>011101011=>3
[4,7,3,2,9,6,1,10,8,5]=>011011011=>3
[4,7,3,2,9,6,10,8,5,1]=>011010111=>2
[4,7,3,9,6,2,1,10,8,5]=>010111011=>1
[4,6,3,5,1,8,2,7]=>0101010=>4
[8,5,7,6,2,3,4,1]=>1011001=>5
[3,5,6,7,8,9,2,4,1]=>00000101=>1
[3,4,6,7,8,2,5,1]=>0000101=>1
[2,4,6,7,8,9,1,3,5]=>00000100=>3
[2,5,6,7,3,8,1,4]=>0001010=>2
[2,5,6,7,8,9,3,1,4]=>00000110=>2
[5,8,4,6,2,1,7,3]=>0101101=>2
[1,6,8,3,4,2,7,5]=>0010101=>1
[4,1,7,6,2,8,3,5]=>1011010=>6
[4,1,8,2,7,5,3,6]=>1010110=>5
[4,1,7,2,8,5,3,6]=>1010110=>5
[2,5,6,3,7,4,8,1]=>0010101=>1
[2,6,5,3,8,4,7,1]=>0110101=>3
[2,6,5,3,7,4,8,1]=>0110101=>3
[7,1,6,3,5,4,8,2]=>1010101=>4
[5,7,3,2,8,4,1,6]=>0110110=>3
[2,8,6,1,7,5,3,4]=>0110110=>3
[8,1,5,2,7,4,3,6]=>1010110=>5
[7,1,4,2,8,5,3,6]=>1010110=>5
[2,6,8,1,7,5,3,4]=>0010110=>2
[1,4,6,5,3,8,2,7]=>0011010=>2
[2,4,5,8,7,1,3,6]=>0001100=>3
[3,1,6,8,7,5,4,2]=>1001111=>3
[3,1,8,7,5,6,4,2]=>1011011=>3
[5,1,8,7,6,3,4,2]=>1011101=>4
[8,2,7,5,3,6,4,1]=>1011011=>3
[8,7,2,3,1,5,6,4]=>1101001=>6
[2,8,5,7,6,1,3,4]=>0101100=>3
[1,8,7,2,6,4,5,3]=>0110101=>3
[8,7,2,1,6,4,5,3]=>1110101=>6
[1,8,4,7,6,2,5,3]=>0101101=>2
[8,7,1,6,4,3,5,2]=>1101101=>5
[8,4,1,7,3,6,5,2]=>1101011=>5
[5,4,6,3,8,1,7,2,9]=>10101010=>8
[1,6,5,7,4,9,2,8,3]=>01010101=>4
[5,6,4,7,3,9,1,8,2,10]=>010101010=>5
[5,4,8,1,7,2,6,3,9]=>10101010=>8
[5,4,8,1,6,3,7,2,9]=>10101010=>8
[1,6,5,9,2,8,3,7,4]=>01010101=>4
[1,6,5,9,2,7,4,8,3]=>01010101=>4
[1,6,7,5,8,4,10,2,9,3]=>001010101=>1
[8,3,6,2,1,5,4,7]=>1011010=>6
[4,5,6,7,8,9,1,10,2,3]=>000001010=>2
[2,5,6,7,8,1,9,3,4]=>00001010=>2
[4,5,6,7,1,2,8,3,9]=>00010010=>2
[1,3,6,7,8,9,2,4,5]=>00000100=>3
[3,5,6,7,8,1,2,9,4]=>00001001=>1
[3,2,5,4,7,6,8,10,9,1]=>101010011=>7
[3,2,5,4,6,9,7,8,10,1]=>101001001=>8
[3,2,5,4,6,8,7,10,9,1]=>101001011=>6
[3,2,5,4,6,7,10,8,9,1]=>101000101=>7
[3,2,4,7,5,6,9,8,10,1]=>100100101=>6
[3,2,4,7,5,6,8,10,9,1]=>100100011=>7
[3,2,4,6,5,9,7,8,10,1]=>100101001=>6
[3,2,4,6,5,8,7,10,9,1]=>100101011=>5
[3,2,4,6,5,7,10,8,9,1]=>100100101=>6
[3,2,4,5,9,6,7,8,10,1]=>100010001=>7
[3,2,4,5,8,6,7,10,9,1]=>100010011=>6
[3,2,4,5,7,6,10,8,9,1]=>100010101=>6
[3,2,4,5,6,10,7,8,9,1]=>100001001=>7
[2,5,3,4,7,6,9,8,10,1]=>010010101=>2
[2,5,3,4,7,6,8,10,9,1]=>010010011=>3
[2,5,3,4,6,9,7,8,10,1]=>010001001=>4
[2,5,3,4,6,8,7,10,9,1]=>010001011=>3
[2,5,3,4,6,7,10,8,9,1]=>010000101=>4
[2,4,3,7,5,6,9,8,10,1]=>010100101=>3
[2,4,3,7,5,6,8,10,9,1]=>010100011=>4
[2,4,3,6,5,9,7,8,10,1]=>010101001=>4
[2,4,3,6,5,7,10,8,9,1]=>010100101=>3
[2,4,3,5,9,6,7,8,10,1]=>010010001=>5
[2,4,3,5,8,6,7,10,9,1]=>010010011=>3
[2,4,3,5,7,6,10,8,9,1]=>010010101=>2
[2,4,3,5,6,10,7,8,9,1]=>010001001=>4
[2,3,7,4,5,6,9,8,10,1]=>001000101=>2
[2,3,7,4,5,6,8,10,9,1]=>001000011=>3
[2,3,6,4,5,9,7,8,10,1]=>001001001=>3
[2,3,6,4,5,8,7,10,9,1]=>001001011=>1
[2,3,6,4,5,7,10,8,9,1]=>001000101=>2
[2,3,5,4,9,6,7,8,10,1]=>001010001=>3
[2,3,5,4,8,6,7,10,9,1]=>001010011=>1
[2,3,5,4,7,6,10,8,9,1]=>001010101=>1
[2,3,5,4,6,10,7,8,9,1]=>001001001=>3
[2,3,4,9,5,6,7,8,10,1]=>000100001=>2
[2,3,4,8,5,6,7,10,9,1]=>000100011=>1
[2,3,4,7,5,6,10,8,9,1]=>000100101=>1
[2,3,4,6,5,10,7,8,9,1]=>000101001=>1
[1,7,3,6,8,2,5,4]=>0100101=>2
[4,5,1,8,7,3,6,2]=>0101101=>2
[3,8,5,2,6,7,4,1]=>0110011=>2
[3,6,4,7,5,2,1,8]=>0101110=>2
[5,7,4,1,2,6,8,3]=>0110001=>4
[2,8,6,7,5,3,1,4]=>0101110=>2
[7,4,5,2,6,3,1,8]=>1010110=>5
[8,6,3,4,5,1,7,2]=>1100101=>6
[8,6,3,5,4,1,7,2]=>1101101=>5
[8,7,4,5,1,3,6,2]=>1101001=>6
[8,6,2,5,3,1,4,7]=>1101100=>7
[8,4,7,3,1,2,5,6]=>1011000=>6
[8,7,3,5,1,6,4,2]=>1101011=>5
[4,8,3,2,6,1,7,5]=>0110101=>3
[4,3,7,6,1,5,2,8]=>1011010=>6
[7,5,4,3,6,1,8,2]=>1110101=>6
[4,6,8,5,3,1,2,7]=>0011100=>3
[5,6,8,4,3,7,2,1]=>0011011=>1
[7,5,8,4,2,1,6,3]=>1011101=>4
[1,4,8,7,6,2,5,3]=>0011101=>1
[7,2,4,1,5,3,8,6]=>1010101=>4
[8,5,3,4,1,7,2,6]=>1101010=>7
[2,8,5,4,3,6,1,7]=>0111010=>3
[8,6,5,3,1,2,7,4]=>1111001=>6
[7,4,6,5,3,2,8,1]=>1011101=>4
[5,6,7,2,3,8,4,1]=>0010011=>1
[8,4,2,6,5,7,3,1]=>1101011=>5
[1,7,4,2,8,5,6,3]=>0110101=>3
[3,2,1,7,4,6,8,5]=>1101001=>6
[6,2,5,7,1,4,3,8]=>1001010=>5
[4,8,5,3,1,2,6,7]=>0111000=>4
[8,5,2,4,6,1,3,7]=>1100100=>7
[1,5,3,4,7,2,6,8]=>0100100=>5
[8,4,6,1,5,7,3,2]=>1010011=>5
[6,4,7,2,1,3,8,5]=>1011001=>5
[6,7,3,1,2,4,8,5]=>0110001=>4
[3,1,8,7,6,2,5,4]=>1011101=>4
[1,3,8,6,7,2,5,4]=>0010101=>1
[5,2,3,6,1,8,4,7]=>1001010=>5
[3,2,6,4,7,1,5,8]=>1010100=>7
[3,6,2,5,7,8,4,1]=>0100011=>3
[2,7,4,6,8,3,5,1]=>0100101=>2
[3,7,6,8,1,5,4,2]=>0101011=>1
[1,5,7,6,8,4,2,3]=>0010110=>2
[2,7,4,6,8,5,3,1]=>0100111=>2
[3,7,6,8,5,1,4,2]=>0101101=>2
[7,1,3,8,6,2,4,5]=>1001100=>6
[2,7,1,8,6,5,3,4]=>0101110=>2
[2,3,4,5,7,6,8,9,1]=>00001001=>1
[2,3,4,5,7,8,6,9,1]=>00000101=>1
[2,3,4,5,8,7,6,9,1]=>00001101=>1
[2,3,4,5,7,9,8,6,1]=>00000111=>1
[4,5,6,3,7,8,9,2,1]=>00100011=>2
[3,4,5,6,2,7,8,9,10,1]=>000100001=>2
[2,4,5,6,3,7,8,9,10,1]=>000100001=>2
[2,3,5,6,4,7,8,9,10,1]=>000100001=>2
[8,1,5,2,6,4,7,3]=>1010101=>4
[4,6,7,5,1,2,3,8]=>0011000=>4
[5,3,4,7,6,2,1,8]=>1001110=>4
[4,1,8,5,7,2,6,3]=>1010101=>4
[4,1,8,2,7,5,6,3]=>1010101=>4
[7,6,8,2,4,3,5,1]=>1010101=>4
[7,4,5,3,8,1,6,2]=>1010101=>4
[7,3,6,1,4,2,8,5]=>1010101=>4
[8,7,2,6,4,5,1,3]=>1101010=>7
[1,2,3,4,7,9,5,6,8]=>00000100=>3
[1,2,3,4,6,7,9,5,8]=>00000010=>2
[1,2,3,4,8,5,6,9,7]=>00001001=>1
[1,2,3,4,7,8,5,9,6]=>00000101=>1
[2,6,4,8,3,5,1,7]=>0101010=>4
[1,4,8,5,3,2,7,6]=>0011101=>1
[3,5,8,4,6,7,1,2]=>0010010=>3
[1,2,4,8,5,7,3,6]=>0001010=>2
[7,3,4,1,8,2,5,6]=>1010100=>7
[5,6,3,1,8,2,4,7]=>0110100=>4
[7,3,6,5,1,8,4,2]=>1011011=>3
[5,7,2,1,4,8,6,3]=>0110011=>2
[7,6,3,5,2,1,8,4]=>1101101=>5
[7,3,2,5,1,6,8,4]=>1101001=>6
[3,5,1,7,6,4,8,2]=>0101101=>2
[8,7,4,2,1,6,5,3]=>1111011=>5
[5,4,7,6,2,1,8,3]=>1011101=>4
[3,5,2,8,7,1,6,4]=>0101101=>2
[3,7,6,5,4,1,8,2]=>0111101=>2
[4,6,5,3,1,8,7,2]=>0111011=>2
[4,5,2,6,7,3,8,1]=>0100101=>2
[9,3,10,1,2,4,5,6,7,8]=>101000000=>9
[10,3,1,9,2,4,5,6,7,8]=>110100000=>9
[3,1,4,10,2,5,6,7,8,9]=>100100000=>9
[8,6,7,4,3,1,5,2]=>1011101=>4
[4,7,1,8,5,3,2,6]=>0101110=>2
[8,6,7,1,4,3,5,2]=>1010101=>4
[8,6,7,2,1,3,5,4]=>1011001=>5
[8,5,6,1,7,4,2,3]=>1010110=>5
[6,4,1,2,5,7,8,3]=>1100001=>6
[6,1,5,4,2,7,3,8]=>1011010=>6
[6,4,2,3,1,7,5,8]=>1101010=>7
[3,4,6,1,8,2,7,5]=>0010101=>1
[5,3,1,4,7,6,2,8]=>1100110=>6
[6,4,5,2,7,1,3,8]=>1010100=>7
[7,4,3,5,1,6,2,8]=>1101010=>7
[7,5,3,6,2,1,4,8]=>1101100=>7
[6,4,3,7,1,8,2,5]=>1101010=>7
[3,1,2,7,6,4,5,8]=>1001100=>6
[5,1,2,7,6,3,4,8]=>1001100=>6
[5,6,1,7,2,4,3,8]=>0101010=>4
[3,5,6,8,1,2,7,4]=>0001001=>1
[2,6,5,7,1,3,4,8]=>0101000=>5
[2,3,7,1,5,6,4,8]=>0010010=>3
[2,6,5,3,4,1,7,8]=>0110100=>4
[2,6,1,3,5,4,7,8]=>0100100=>5
[4,6,1,5,2,8,7,3]=>0101011=>1
[6,1,5,4,2,7,8,3]=>1011001=>5
[4,6,1,5,2,7,8,3]=>0101001=>3
[2,8,6,5,1,3,7,4]=>0111001=>3
[5,1,8,6,2,7,4,3]=>1011011=>3
[3,6,8,2,7,5,1,4]=>0010110=>2
[5,6,4,1,7,2,8,3]=>0110101=>3
[8,1,6,3,4,2,5,7]=>1010100=>7
[7,4,2,3,1,6,8,5]=>1101001=>6
[9,8,10,7,6,5,4,3,1,2]=>101111110=>4
[8,7,9,6,5,4,2,1,3]=>10111110=>4
[8,9,7,6,5,4,2,1,3]=>01111110=>2
[8,9,7,6,5,4,2,3,1]=>01111101=>2
[10,7,1,2,3,4,8,9,5,6]=>110000010=>9
[1,6,4,5,7,3,2,8]=>0100110=>3
[1,6,4,5,7,2,8,3]=>0100101=>2
[1,7,5,6,4,8,3,2]=>0101011=>1
[1,5,6,7,3,2,4,8]=>0001100=>3
[8,2,4,3,1,7,5,6]=>1011010=>6
[8,2,1,4,3,7,5,6]=>1101010=>7
[7,6,8,2,1,5,3,4]=>1011010=>6
[8,6,2,5,1,3,7,4]=>1101001=>6
[5,7,2,6,4,1,8,3]=>0101101=>2
[4,5,6,1,3,8,2,7]=>0010010=>3
[6,3,5,7,4,2,8,1]=>1001101=>4
[7,6,4,8,5,3,1,2]=>1101110=>6
[8,2,1,6,4,7,3,5]=>1101010=>7
[1,3,8,6,5,2,7,4]=>0011101=>1
[2,7,3,8,5,6,4,1]=>0101011=>1
[1,2,8,5,7,4,6,3]=>0010101=>1
[1,6,8,5,4,7,2,3]=>0011010=>2
[5,7,1,8,3,2,6,4]=>0101101=>2
[2,1,3,8,6,4,7,5]=>1001101=>4
[8,2,5,4,3,7,1,6]=>1011010=>6
[5,8,4,3,7,6,2,1]=>0110111=>1
[8,1,5,3,4,7,2,6]=>1010010=>6
[6,1,8,7,4,5,3,2]=>1011011=>3
[1,5,8,6,4,3,7,2]=>0011101=>1
[5,8,6,4,2,1,7,3]=>0111101=>2
[2,6,1,8,4,7,5,3]=>0101011=>1
[5,3,8,6,1,2,7,4]=>1011001=>5
[5,8,1,4,6,2,7,3]=>0100101=>2
[3,7,6,2,1,4,8,5]=>0111001=>3
[4,6,2,3,7,1,8,5]=>0100101=>2
[6,8,7,5,1,3,4,2]=>0111001=>3
[6,4,3,2,7,8,5,1]=>1110011=>5
[2,7,6,1,5,3,8,4]=>0110101=>3
[7,8,6,4,2,5,3,1]=>0111011=>2
[6,4,5,8,7,1,3,2]=>1001101=>4
[6,4,1,7,8,3,2,5]=>1100110=>6
[2,3,4,5,8,6,7,9,1]=>00001001=>1
[2,3,4,5,9,6,8,7,1]=>00001011=>1
[9,3,4,5,2,6,7,8,1]=>10010001=>7
[6,2,3,4,5,7,8,9,10,1]=>100000001=>8
[2,6,3,4,5,7,8,9,10,1]=>010000001=>6
[2,3,6,4,5,7,8,9,10,1]=>001000001=>4
[6,4,3,8,7,2,5,1]=>1101101=>5
[5,4,7,2,1,3,8,6]=>1011001=>5
[7,8,2,3,4,5,1,6,9]=>01000100=>6
[1,8,9,3,4,5,6,2,7]=>00100010=>4
[2,6,4,5,7,1,8,3]=>0100101=>2
[3,7,4,6,1,5,8,2]=>0101001=>3
[3,4,6,5,2,8,1,7]=>0011010=>2
[4,6,7,5,8,2,1,3]=>0010110=>2
[2,5,7,6,4,1,8,3]=>0011101=>1
[5,1,4,6,2,7,8,3]=>1001001=>5
[1,2,5,3,7,8,6,4]=>0010011=>1
[4,8,3,5,1,2,7,6]=>0101001=>3
[6,1,3,7,2,8,4,5]=>1001010=>5
[3,8,5,4,1,7,2,6]=>0111010=>3
[3,1,5,8,2,6,7,4]=>1001001=>5
[2,8,5,3,1,7,4,6]=>0111010=>3
[6,5,2,3,7,1,8,4]=>1100101=>6
[7,2,1,6,4,8,3,5]=>1101010=>7
[2,1,3,7,5,8,4,6]=>1001010=>5
[6,2,4,5,7,1,8,3]=>1000101=>5
[2,3,8,7,1,4,6,5]=>0011001=>2
[4,2,7,5,6,8,1,3]=>1010010=>6
[2,1,3,4,5,8,6,7,9]=>10000100=>7
[6,8,2,5,4,7,3,1]=>0101011=>1
[9,2,3,4,5,1,6,7,8]=>10001000=>8
[7,2,3,4,5,6,9,1,8]=>10000010=>7
[10,2,3,4,5,6,7,1,8,9]=>100000100=>8
[6,2,3,4,5,9,1,7,8]=>10000100=>7
[10,2,3,4,5,6,1,7,8,9]=>100001000=>8
[5,2,3,4,9,1,6,7,8]=>10001000=>8
[10,2,3,4,5,1,6,7,8,9]=>100010000=>9
[4,2,3,9,1,5,6,7,8]=>10010000=>8
[10,2,3,4,1,5,6,7,8,9]=>100100000=>9
[3,2,9,1,4,5,6,7,8]=>10100000=>8
[2,7,6,3,8,4,5,1]=>0110101=>3
[4,6,8,2,3,1,7,5]=>0010101=>1
[4,7,2,3,5,1,8,6]=>0100101=>2
[6,4,2,1,3,7,5,8]=>1110010=>7
[2,8,1,3,4,5,6,10,7,9]=>010000010=>6
[10,7,1,2,3,4,5,9,6,8]=>110000010=>9
[5,3,2,7,6,1,8,4]=>1101101=>5
[5,6,4,2,8,7,1,3]=>0110110=>3
[5,7,4,2,6,1,8,3]=>0110101=>3
[5,4,7,1,6,2,8,3]=>1010101=>4
[4,5,8,7,6,2,1,3]=>0011110=>2
[6,4,7,1,2,3,8,5]=>1010001=>6
[4,5,6,8,2,9,3,10,7,1]=>000101011=>1
[10,4,5,6,9,3,8,2,7,1]=>100010101=>6
[4,5,10,6,9,3,8,2,7,1]=>001010101=>1
[4,5,8,2,6,10,9,3,7,1]=>001001101=>1
[10,6,9,5,4,3,8,2,7,1]=>101110101=>6
[8,2,6,10,9,5,4,3,7,1]=>100111101=>4
[8,2,10,4,5,6,7,1,9,3]=>101000101=>7
[4,5,6,8,2,10,7,1,9,3]=>000101101=>1
[10,4,5,6,8,2,7,1,9,3]=>100010101=>6
[4,5,10,6,8,2,7,1,9,3]=>001010101=>1
[4,5,10,8,2,6,7,1,9,3]=>001100101=>2
[10,6,8,2,7,1,9,5,4,3]=>101010111=>4
[10,8,2,6,7,1,9,5,4,3]=>110010111=>6
[8,2,7,1,9,3,10,4,5,6]=>101010100=>9
[4,5,8,2,7,1,9,3,10,6]=>001010101=>1
[4,5,9,3,10,7,1,8,2,6]=>001011010=>2
[4,5,7,1,9,3,8,2,6,10]=>001010100=>3
[8,2,7,1,9,5,4,3,10,6]=>101011101=>4
[9,5,4,3,10,7,1,8,2,6]=>111011010=>9
[7,1,9,5,4,3,8,2,6,10]=>101110100=>7
[8,2,6,10,4,5,7,1,9,3]=>100100101=>6
[4,8,2,6,10,5,7,1,9,3]=>010010101=>2
[4,10,8,2,5,6,7,1,9,3]=>011000101=>5
[8,2,6,10,5,7,1,9,4,3]=>100101011=>5
[10,8,2,5,6,7,1,9,4,3]=>110001011=>7
[9,3,10,4,5,7,1,8,2,6]=>101001010=>7
[4,9,3,10,5,7,1,8,2,6]=>010101010=>5
[4,9,3,10,7,1,8,2,5,6]=>010110100=>4
[4,7,1,9,3,8,2,5,6,10]=>010101000=>6
[9,4,3,10,5,7,1,8,2,6]=>110101010=>9
[9,4,3,10,7,1,8,2,5,6]=>110110100=>9
[7,1,9,4,3,8,2,5,6,10]=>101101000=>8
[5,10,7,1,8,2,4,3,9,6]=>011010101=>4
[5,7,1,8,2,4,3,9,6,10]=>010101010=>5
[10,5,7,1,9,4,2,6,8,3]=>101011001=>6
[9,4,2,5,6,7,1,10,8,3]=>110001011=>7
[10,5,7,1,8,3,9,4,2,6]=>101010110=>6
[10,7,1,8,3,9,4,2,5,6]=>110101100=>9
[7,1,8,3,9,4,2,5,6,10]=>101011000=>7
[4,2,5,10,7,1,8,3,9,6]=>100110101=>5
[4,2,5,7,1,8,3,9,6,10]=>100101010=>6
[1,8,7,2,3,4,6,5]=>0110001=>4
[1,8,3,7,6,2,5,4]=>0101101=>2
[1,3,8,2,5,6,4,7]=>0010010=>3
[1,3,2,7,4,6,8,5]=>0101001=>3
[1,3,8,4,6,2,7,5]=>0010101=>1
[8,2,3,6,7,4,5,1]=>1000101=>5
[5,6,4,2,1,7,3,8]=>0111010=>3
[2,5,7,6,3,8,4,1]=>0011011=>1
[6,4,7,1,2,5,3,8]=>1010010=>6
[4,5,6,7,8,9,1,2,10,3]=>000001001=>1
[4,5,6,7,8,1,3,9,2]=>00001001=>1
[1,2,7,5,8,6,3,4]=>0010110=>2
[2,1,9,8,7,6,5,3,4]=>10111110=>4
[2,1,9,8,7,6,4,3,5]=>10111110=>4
[2,1,9,8,7,6,3,5,4]=>10111101=>4
[2,1,10,9,8,7,6,5,3,4]=>101111110=>4
[7,4,5,1,6,8,2,3]=>1010010=>6
[1,7,8,4,2,6,3,5]=>0011010=>2
[6,3,2,5,7,4,1,8]=>1100110=>6
[6,2,1,5,3,7,8,4]=>1101001=>6
[6,2,5,1,3,8,7,4]=>1010011=>5
[6,2,8,5,1,3,7,4]=>1011001=>5
[10,9,7,3,6,1,2,4,8,5]=>111010001=>8
[9,7,3,6,1,2,4,10,8,5]=>110100011=>7
[7,3,10,9,6,1,2,4,8,5]=>101110001=>6
[7,3,9,6,1,2,4,10,8,5]=>101100011=>6
[9,6,1,2,4,10,7,3,8,5]=>110001101=>7
[8,4,10,9,7,3,6,1,2,5]=>101110100=>7
[10,8,4,9,7,3,6,1,2,5]=>110110100=>9
[7,3,8,4,10,9,6,1,2,5]=>101011100=>6
[7,3,10,8,4,9,6,1,2,5]=>101101100=>7
[10,7,3,8,4,9,6,1,2,5]=>110101100=>9
[6,1,2,7,3,8,4,10,9,5]=>100101011=>5
[6,1,2,7,3,10,8,4,9,5]=>100101101=>5
[6,1,2,10,7,3,8,4,9,5]=>100110101=>5
[10,6,1,2,7,3,8,4,9,5]=>110010101=>8
[6,1,3,10,9,7,2,4,8,5]=>100111001=>6
[6,1,3,9,7,2,4,10,8,5]=>100110011=>5
[10,9,6,1,3,7,2,4,8,5]=>111001001=>8
[9,6,1,3,7,2,4,10,8,5]=>110010011=>7
[10,7,2,4,9,6,1,3,8,5]=>110011001=>7
[6,1,3,8,4,10,9,7,2,5]=>100101110=>5
[6,1,3,10,8,4,9,7,2,5]=>100110110=>5
[8,4,10,9,6,1,3,7,2,5]=>101110010=>7
[10,8,4,9,6,1,3,7,2,5]=>110110010=>9
[9,6,1,3,8,4,10,7,2,5]=>110010110=>8
[7,2,6,1,3,8,4,10,9,5]=>101001011=>6
[7,2,6,1,3,10,8,4,9,5]=>101001101=>6
[10,7,2,6,1,3,8,4,9,5]=>110100101=>8
[7,2,10,6,1,3,8,4,9,5]=>101100101=>6
[8,3,6,1,4,10,9,7,2,5]=>101001110=>6
[10,8,3,6,1,4,9,7,2,5]=>110100110=>8
[10,9,6,1,4,8,3,7,2,5]=>111001010=>9
[9,6,1,4,10,8,3,7,2,5]=>110011010=>8
[8,3,9,6,1,4,10,7,2,5]=>101100110=>7
[8,3,7,2,6,1,4,10,9,5]=>101010011=>7
[10,8,3,7,2,6,1,4,9,5]=>110101001=>8
[8,3,10,7,2,6,1,4,9,5]=>101101001=>7
[7,2,8,3,10,6,1,4,9,5]=>101011001=>6
[9,4,10,8,3,7,2,6,1,5]=>101101010=>8
[8,3,9,4,10,7,2,6,1,5]=>101011010=>7
[7,2,8,3,9,4,10,6,1,5]=>101010110=>6
[4,1,7,8,3,6,5,2]=>1001011=>4
[6,4,2,1,7,3,5,8]=>1110100=>7
[5,8,4,2,1,3,6,7]=>0111000=>4
[4,5,3,6,7,8,9,1,2]=>01000010=>5
[5,3,4,6,7,8,9,1,2]=>10000010=>7
[1,7,5,8,4,3,6,2]=>0101101=>2
[5,8,1,6,4,7,2,3]=>0101010=>4
[2,4,7,5,1,8,6,3]=>0011011=>1
[2,3,7,1,8,5,6,4]=>0010101=>1
[6,5,1,2,7,4,8,3]=>1100101=>6
[3,6,5,7,8,2,4,1]=>0100101=>2
[3,6,5,1,8,7,4,2]=>0110111=>1
[7,8,1,2,5,4,3,6]=>0100110=>3
[2,8,4,3,5,1,7,6]=>0110101=>3
[5,2,4,7,6,8,1,3]=>1001010=>5
[3,1,5,7,4,8,6,2]=>1001011=>4
[4,1,7,6,8,2,5,3]=>1010101=>4
[7,2,6,4,1,5,3,8]=>1011010=>6
[1,2,6,5,8,3,7,4]=>0010101=>1
[7,3,5,6,1,4,2,8]=>1001010=>5
[5,8,3,1,6,7,4,2]=>0110011=>2
[4,5,8,1,7,3,6,2]=>0010101=>1
[4,7,1,6,8,5,2,3]=>0100110=>3
[5,8,7,1,6,4,2,3]=>0110110=>3
[1,7,3,8,2,5,4,6]=>0101010=>4
[8,4,1,3,6,7,5,2]=>1100011=>5
[5,3,1,8,6,7,4,2]=>1101011=>5
[6,2,7,1,4,3,5,8]=>1010100=>7
[9,5,4,3,2,1,6,7,8]=>11111000=>8
[10,3,4,1,2,5,6,7,8,9]=>101000000=>9
[8,3,2,6,5,1,7,4]=>1101101=>5
[7,3,2,6,5,1,4,8]=>1101100=>7
[2,6,8,4,7,1,3,5]=>0010100=>3
[7,8,6,3,2,5,4,1]=>0111011=>2
[5,2,8,6,3,1,4,7]=>1011100=>5
[1,6,4,8,2,3,5,7]=>0101000=>5
[2,8,5,6,4,1,7,3]=>0101101=>2
[1,4,7,3,5,8,6,2]=>0010011=>1
[3,7,8,2,5,1,6,4]=>0010101=>1
[8,6,1,4,3,2,7,5]=>1101101=>5
[7,3,8,2,4,1,5,6]=>1010100=>7
[6,3,7,8,1,2,5,4]=>1001001=>5
[7,6,1,5,2,3,8,4]=>1101001=>6
[5,1,8,6,7,2,3,4]=>1010100=>7
[5,7,1,6,8,2,3,4]=>0100100=>5
[6,8,4,2,1,7,3,5]=>0111010=>3
[6,3,2,8,1,7,4,5]=>1101010=>7
[6,4,1,3,7,8,5,2]=>1100011=>5
[6,8,5,4,3,7,1,2]=>0111010=>3
[5,7,4,8,3,1,2,6]=>0101100=>3
[6,1,2,4,8,3,7,5]=>1000101=>5
[2,5,6,8,1,4,7,3]=>0001001=>1
[7,4,1,6,5,2,3,8]=>1101100=>7
[4,1,6,5,2,3,8,7]=>1011001=>5
[4,5,1,7,8,6,2,3]=>0100110=>3
[8,5,7,3,4,6,2,1]=>1010011=>5
[6,8,7,4,3,5,2,1]=>0111011=>2
[6,8,7,5,3,4,2,1]=>0111011=>2
[5,8,6,2,4,7,3,1]=>0110011=>2
[4,8,6,2,5,7,3,1]=>0110011=>2
[1,6,4,7,5,3,2,8]=>0101110=>2
[1,6,5,3,2,7,4,8]=>0111010=>3
[1,6,8,7,4,5,3,2]=>0011011=>1
[1,4,7,5,3,2,6,8]=>0011100=>3
[1,7,5,4,3,2,8,6]=>0111101=>2
[1,4,7,5,3,2,8,6]=>0011101=>1
[1,7,4,6,8,5,3,2]=>0100111=>2
[6,8,7,2,3,5,4,1]=>0110011=>2
[5,7,6,1,8,2,4,3]=>0110101=>3
[4,8,6,5,7,2,3,1]=>0110101=>3
[2,7,8,5,1,4,3,6]=>0011010=>2
[8,5,6,2,4,7,3,1]=>1010011=>5
[3,5,8,4,2,6,1,7]=>0011010=>2
[8,1,3,6,4,5,2,7]=>1001010=>5
[1,2,3,7,4,8,5,9,6]=>00010101=>1
[1,2,3,4,7,5,9,8,6]=>00001011=>1
[1,2,6,3,7,4,9,8,5]=>00101011=>1
[1,2,3,8,6,4,9,7,5]=>00011011=>1
[1,2,3,6,4,9,8,7,5]=>00010111=>1
[5,1,6,2,7,3,9,8,4]=>10101011=>4
[1,5,2,8,6,3,9,7,4]=>01011011=>1
[1,5,2,6,3,9,8,7,4]=>01010111=>1
[1,2,7,5,3,9,8,6,4]=>00110111=>1
[1,2,5,3,9,8,7,6,4]=>00101111=>1
[4,1,7,5,2,9,8,6,3]=>10110111=>3
[4,1,5,2,9,8,7,6,3]=>10101111=>3
[1,6,4,2,9,8,7,5,3]=>01101111=>1
[1,4,2,9,8,7,6,5,3]=>01011111=>1
[7,5,3,1,9,8,6,4,2]=>11101111=>4
[5,3,1,9,8,7,6,4,2]=>11011111=>3
[1,2,3,4,8,5,9,6,10,7]=>000010101=>1
[1,2,3,4,5,8,6,10,9,7]=>000001011=>1
[1,2,3,7,4,8,5,10,9,6]=>000101011=>1
[1,2,3,4,9,7,5,10,8,6]=>000011011=>1
[1,2,3,4,7,5,10,9,8,6]=>000010111=>1
[1,6,2,7,3,8,4,10,9,5]=>010101011=>1
[1,2,6,3,9,7,4,10,8,5]=>001011011=>1
[1,2,6,3,7,4,10,9,8,5]=>001010111=>1
[1,2,3,8,6,4,10,9,7,5]=>000110111=>1
[1,2,3,6,4,10,9,8,7,5]=>000101111=>1
[5,1,6,2,9,7,3,10,8,4]=>101011011=>4
[5,1,6,2,7,3,10,9,8,4]=>101010111=>4
[1,5,2,6,3,10,9,8,7,4]=>010101111=>1
[1,2,7,5,3,10,9,8,6,4]=>001101111=>1
[1,2,5,3,10,9,8,7,6,4]=>001011111=>1
[7,4,1,8,5,2,10,9,6,3]=>110110111=>5
[4,1,9,7,5,2,10,8,6,3]=>101110111=>3
[4,1,7,5,2,10,9,8,6,3]=>101101111=>3
[4,1,5,2,10,9,8,7,6,3]=>101011111=>3
[1,8,6,4,2,10,9,7,5,3]=>011101111=>1
[1,6,4,2,10,9,8,7,5,3]=>011011111=>1
[1,4,2,10,9,8,7,6,5,3]=>010111111=>1
[7,5,3,1,10,9,8,6,4,2]=>111011111=>4
[5,3,1,10,9,8,7,6,4,2]=>110111111=>3
[4,3,1,6,2,5,8,7]=>1101001=>6
[7,5,2,1,8,4,3,6]=>1110110=>7
[5,3,1,4,7,8,2,6]=>1100010=>7
[7,1,2,4,8,3,5,6]=>1000100=>6
[8,6,1,3,5,7,4,2]=>1100011=>5
[7,1,5,8,2,3,4,6]=>1001000=>7
[3,6,8,5,1,4,2,7]=>0011010=>2
[5,2,4,1,6,8,3,7]=>1010010=>6
[2,5,3,4,6,8,1,7]=>0100010=>4
[4,7,1,2,5,6,3,8]=>0100010=>4
[6,7,3,1,8,2,4,5]=>0110100=>4
[7,3,1,4,6,2,8,5]=>1100101=>6
[7,4,1,2,5,6,3,8]=>1100010=>7
[5,4,1,3,6,8,7,2]=>1100011=>5
[5,7,4,8,1,6,3,2]=>0101011=>1
[4,3,1,2,5,7,6,8]=>1100010=>7
[2,3,4,5,8,7,6,1,9]=>00001110=>2
[1,3,4,5,6,9,8,7,2]=>00000111=>1
[1,2,3,4,5,8,9,7,6]=>00000011=>1
[1,2,3,4,8,9,6,7,5]=>00000101=>1
[1,2,3,8,9,5,6,7,4]=>00001001=>1
[1,2,4,7,8,5,6,3]=>0000101=>1
[1,2,8,9,4,5,6,7,3]=>00010001=>2
[8,3,6,5,7,4,2,1]=>1010111=>3
[8,2,6,5,7,4,3,1]=>1010111=>3
[8,4,7,1,5,2,6,3]=>1010101=>4
[8,2,6,3,7,5,4,1]=>1010111=>3
[8,2,5,3,7,6,4,1]=>1010111=>3
[8,5,7,1,4,3,6,2]=>1010101=>4
[5,3,1,8,4,2,6,7]=>1101100=>7
[4,5,3,6,8,7,1,2]=>0100110=>3
[2,1,6,5,8,7,3,4]=>1010110=>5
[6,1,5,4,7,3,8,2]=>1010101=>4
[9,4,2,3,5,6,7,8,1]=>11000001=>7
[3,1,8,4,2,7,6,5]=>1011011=>3
[2,8,7,4,1,3,6,5]=>0111001=>3
[8,2,3,1,7,6,4,5]=>1010110=>5
[8,7,2,3,1,6,4,5]=>1101010=>7
[7,2,5,8,3,1,4,6]=>1001100=>6
[6,8,2,3,1,7,4,5]=>0101010=>4
[8,2,5,7,3,1,4,6]=>1001100=>6
[8,2,7,3,1,4,5,6]=>1011000=>6
[5,3,2,8,7,1,6,4]=>1101101=>5
[8,6,7,4,1,3,5,2]=>1011001=>5
[4,1,3,6,5,2,8,7]=>1001101=>4
[4,6,3,2,5,1,8,7]=>0110101=>3
[4,8,3,2,6,5,7,1]=>0110101=>3
[4,8,3,6,5,2,7,1]=>0101101=>2
[8,1,6,2,5,4,7,3]=>1010101=>4
[2,4,3,8,6,1,7,5]=>0101101=>2
[2,6,3,8,5,4,7,1]=>0101101=>2
[6,1,3,2,5,8,7,4]=>1010011=>5
[6,8,4,2,5,3,7,1]=>0110101=>3
[6,8,4,3,5,2,7,1]=>0110101=>3
[8,1,4,6,5,3,7,2]=>1001101=>4
[1,4,2,5,6,7,9,8,3]=>01000011=>4
[2,1,4,5,6,9,7,3,8]=>10000110=>6
[3,5,4,6,1,2,8,7]=>0101001=>3
[3,1,5,2,9,6,7,8,4]=>10101001=>7
[4,5,1,6,8,7,9,2,3]=>01001010=>4
[1,4,2,5,6,7,8,10,9,3]=>010000011=>5
[2,1,4,5,6,7,10,8,3,9]=>100000110=>7
[2,3,1,5,9,6,7,4,8]=>01001010=>4
[1,2,4,5,7,9,6,3,8]=>00000110=>2
[3,4,6,5,7,1,2,9,8]=>00101001=>2
[3,1,9,4,2,6,7,8,5]=>10110001=>6
[7,3,5,6,1,8,2,4]=>1001010=>5
[1,2,5,3,9,6,8,7,4]=>00101011=>1
[3,1,5,2,6,10,7,8,9,4]=>101001001=>8
[4,5,1,7,6,8,2,9,3]=>01010101=>4
[4,5,1,6,7,9,8,10,2,3]=>010001010=>4
[5,7,6,3,4,2,8,1]=>0110101=>3
[4,6,7,2,3,5,8,1]=>0010001=>2
[6,5,4,8,7,2,3,1]=>1101101=>5
[7,2,8,3,9,4,10,5,1,6]=>101010110=>6
[7,2,8,3,9,4,10,1,5,6]=>101010100=>9
[7,2,8,3,9,10,4,5,1,6]=>101001010=>7
[7,2,8,3,9,10,4,1,5,6]=>101001100=>8
[7,2,8,3,9,10,1,4,5,6]=>101001000=>9
[7,2,8,9,3,4,10,5,1,6]=>100100110=>6
[7,2,8,9,3,4,10,1,5,6]=>100100100=>9
[7,2,8,9,3,10,4,5,1,6]=>100101010=>6
[7,2,8,9,3,10,4,1,5,6]=>100101100=>7
[7,2,8,9,3,10,1,4,5,6]=>100101000=>8
[7,2,8,9,10,3,4,5,1,6]=>100010010=>7
[7,2,8,9,10,3,4,1,5,6]=>100010100=>7
[7,2,8,9,10,3,1,4,5,6]=>100011000=>8
[7,8,2,3,9,4,10,5,1,6]=>010010110=>3
[7,8,2,3,9,4,10,1,5,6]=>010010100=>5
[7,8,2,3,9,10,4,5,1,6]=>010001010=>4
[7,8,2,3,9,10,4,1,5,6]=>010001100=>5
[7,8,2,3,9,10,1,4,5,6]=>010001000=>7
[7,8,2,9,3,4,10,5,1,6]=>010100110=>4
[7,8,2,9,3,4,10,1,5,6]=>010100100=>6
[7,8,2,9,3,10,4,5,1,6]=>010101010=>5
[7,8,2,9,3,10,4,1,5,6]=>010101100=>3
[7,8,2,9,3,10,1,4,5,6]=>010101000=>6
[7,8,2,9,10,3,4,5,1,6]=>010010010=>6
[7,8,2,9,10,3,4,1,5,6]=>010010100=>5
[7,8,2,9,10,3,1,4,5,6]=>010011000=>5
[7,8,2,9,10,1,3,4,5,6]=>010010000=>7
[7,8,9,2,3,4,10,5,1,6]=>001000110=>3
[7,8,9,2,3,4,10,1,5,6]=>001000100=>5
[7,8,9,2,3,10,4,5,1,6]=>001001010=>2
[7,8,9,2,3,10,4,1,5,6]=>001001100=>3
[7,8,9,2,3,10,1,4,5,6]=>001001000=>5
[7,8,9,2,10,3,4,5,1,6]=>001010010=>3
[7,8,9,2,10,3,4,1,5,6]=>001010100=>3
[7,8,9,2,10,3,1,4,5,6]=>001011000=>4
[7,8,9,2,10,1,3,4,5,6]=>001010000=>5
[7,8,9,10,2,3,4,1,5,6]=>000100100=>3
[7,8,9,10,2,3,1,4,5,6]=>000101000=>4
[7,8,9,10,2,1,3,4,5,6]=>000110000=>5
[8,2,9,3,10,11,4,12,5,6,1,7]=>10100101010=>8
[8,2,9,3,10,11,12,4,5,6,1,7]=>10100010010=>10
[8,2,9,10,3,4,11,5,12,1,6,7]=>10010010100=>9
[8,2,9,10,3,4,11,12,5,6,1,7]=>10010001010=>9
[8,2,9,10,3,4,11,12,1,5,6,7]=>10010001000=>11
[8,2,9,10,3,11,4,12,5,6,1,7]=>10010101010=>7
[8,2,9,10,3,11,12,4,5,6,1,7]=>10010010010=>8
[8,2,9,10,3,11,12,4,5,1,6,7]=>10010010100=>9
[8,2,9,10,11,3,4,5,12,1,6,7]=>10001000100=>9
[8,2,9,10,11,3,4,12,5,6,1,7]=>10001001010=>8
[8,2,9,10,11,3,4,12,1,5,6,7]=>10001001000=>10
[8,2,9,10,11,3,12,4,5,6,1,7]=>10001010010=>8
[8,2,9,10,11,3,12,4,5,1,6,7]=>10001010100=>8
[8,2,9,10,11,12,3,4,5,6,1,7]=>10000100010=>9
[8,2,9,10,11,12,3,4,5,1,6,7]=>10000100100=>9
[8,2,9,10,11,12,3,4,1,5,6,7]=>10000101000=>9
[4,8,7,6,5,3,2,1,9]=>01111110=>2
[5,9,8,7,6,4,3,2,1,10]=>011111110=>2
[5,8,7,4,6,3,2,1,9]=>01101110=>2
[8,4,7,6,5,3,2,1,9]=>10111110=>4
[5,7,4,3,6,2,1,8]=>0110110=>3
[6,9,8,5,7,4,1,3,2]=>01101101=>3
[9,8,7,5,1,6,4,3,2]=>11110111=>5
[10,9,8,6,1,7,5,4,3,2]=>111101111=>5
[1,2,8,3,4,5,6,9,7]=>00100001=>3
[1,9,5,2,3,8,4,6,7]=>01100100=>5
[1,2,9,3,4,5,6,7,10,8]=>001000001=>4
[1,8,2,9,4,3,5,6,7]=>01011000=>4
[1,3,2,4,9,8,5,6,7]=>01001100=>4
[2,1,3,4,5,9,8,6,7]=>10000110=>6
[1,2,3,4,5,9,6,7,10,8]=>000001001=>1
[9,1,7,2,3,4,5,8,6]=>10100001=>7
[1,10,6,2,3,4,9,5,7,8]=>011000100=>6
[1,8,5,2,3,4,6,9,7]=>01100001=>5
[9,8,1,2,3,5,6,4,7]=>11000010=>8
[1,5,2,9,3,10,4,6,7,8]=>010101000=>6
[1,4,2,3,9,5,6,8,7]=>01001001=>3
[1,8,5,6,2,3,7,4]=>0101001=>3
[4,9,8,1,2,5,3,6,7]=>01100100=>5
[1,2,4,3,10,9,5,6,7,8]=>001011000=>4
[1,3,2,4,5,9,6,8,7]=>01000101=>3
[1,8,3,9,4,2,5,6,7]=>01011000=>4
[1,3,2,4,5,10,9,6,7,8]=>010001100=>5
[2,3,1,4,9,8,5,6,7]=>01001100=>4
[2,1,3,4,5,9,6,10,7,8]=>100001010=>7
[7,2,4,6,8,1,5,3]=>1000101=>5
[6,2,5,4,7,8,1,3]=>1010010=>6
[3,8,2,6,1,7,4,5]=>0101010=>4
[8,5,6,1,3,2,7,4]=>1010101=>4
[5,3,7,8,2,6,1,4]=>1001010=>5
[4,5,8,3,6,1,7,2]=>0010101=>1
[4,5,8,7,2,3,1,6]=>0011010=>2
[8,2,6,4,3,7,5,1]=>1011011=>3
[6,3,1,8,7,4,5,2]=>1101101=>5
[8,6,3,2,7,4,5,1]=>1110101=>6
[1,3,6,8,7,4,5,2]=>0001101=>1
[5,7,1,3,6,2,4,8]=>0100100=>5
[4,7,5,2,3,6,8,1]=>0110001=>4
[3,6,4,1,2,5,7,8]=>0110000=>5
[4,7,1,3,2,5,8,6]=>0101001=>3
[4,7,1,3,2,6,8,5]=>0101001=>3
[5,7,1,3,6,2,8,4]=>0100101=>2
[6,8,2,5,7,3,1,4]=>0100110=>3
[4,8,5,2,3,6,1,7]=>0110010=>4
[5,8,6,3,4,7,2,1]=>0110011=>2
[3,7,5,4,2,8,1,6]=>0111010=>3
[4,6,5,1,7,8,2,3]=>0110010=>4
[4,7,1,3,2,8,5,6]=>0101010=>4
[3,6,5,1,8,2,4,7]=>0110100=>4
[5,8,7,3,4,2,6,1]=>0110101=>3
[8,7,6,5,4,1,9,3,2]=>11111011=>6
[8,7,6,5,2,9,1,3,4]=>11110100=>8
[8,7,6,3,9,2,1,4,5]=>11101100=>8
[8,7,4,9,3,2,1,6,5]=>11011101=>6
[8,5,9,4,3,2,1,6,7]=>10111100=>5
[6,9,5,4,3,2,1,7,8]=>01111100=>3
[9,8,7,6,5,4,1,10,3,2]=>111111011=>7
[8,7,6,5,2,1,4,3,9]=>11111010=>8
[9,8,7,6,5,2,10,1,3,4]=>111110100=>9
[8,7,6,3,2,5,1,4,9]=>11110100=>8
[8,7,6,5,1,9,4,3,2]=>11110111=>5
[9,8,7,6,3,10,2,1,4,5]=>111101100=>9
[10,9,8,7,6,4,3,2,1,11,5]=>1111111101=>9
[8,7,4,3,6,2,1,9,5]=>11101101=>7
[8,7,6,2,9,5,1,3,4]=>11101100=>8
[9,8,7,4,10,3,2,1,6,5]=>111011101=>7
[8,5,4,7,3,2,1,6,9]=>11011100=>7
[8,7,3,9,6,2,1,4,5]=>11011100=>7
[9,8,5,10,4,3,2,1,6,7]=>110111100=>7
[6,5,8,4,3,2,1,7,9]=>10111100=>5
[8,4,9,7,3,2,1,6,5]=>10111101=>4
[9,6,10,5,4,3,2,1,7,8]=>101111100=>5
[10,9,7,6,5,4,3,2,1,11,8]=>1111111101=>9
[5,9,8,4,3,2,1,6,7]=>01111100=>3
[7,10,6,5,4,3,2,1,9,8]=>011111101=>2
[8,5,2,3,7,4,6,1]=>1100101=>6
[6,3,1,5,4,8,2,7]=>1101010=>7
[4,7,6,3,5,2,8,1]=>0110101=>3
[1,7,5,3,4,8,6,2]=>0110011=>2
[5,8,2,3,4,7,6,1]=>0100011=>3
[8,7,3,2,6,4,5,1]=>1110101=>6
[8,3,1,4,7,5,2,6]=>1100110=>6
[5,3,1,6,4,8,7,2]=>1101011=>5
[3,4,8,5,7,2,6,1]=>0010101=>1
[8,5,1,2,7,6,4,3]=>1100111=>4
[10,7,8,1,2,3,4,5,6,9]=>101000000=>9
[6,7,10,1,2,3,4,5,8,9]=>001000000=>7
[8,2,6,3,1,5,4,7]=>1011010=>6
[3,7,8,5,6,2,4,1]=>0010101=>1
[1,10,2,3,4,7,5,6,8,9]=>010001000=>7
[7,4,3,6,2,5,8,1]=>1101001=>6
[4,3,8,7,1,6,2,5]=>1011010=>6
[1,5,3,8,4,7,2,6]=>0101010=>4
[8,2,3,1,6,5,7,4]=>1010101=>4
[8,4,2,7,1,3,6,5]=>1101001=>6
[8,4,2,3,1,6,7,5]=>1101001=>6
[4,7,2,3,6,5,8,1]=>0100101=>2
[3,8,2,6,4,7,1,5]=>0101010=>4
[1,7,5,8,6,2,4,3]=>0101101=>2
[6,5,1,7,4,8,3,2]=>1101011=>5
[10,9,8,6,7,5,4,3,2,1]=>111011111=>4
[7,6,3,5,1,4,8,2]=>1101001=>6
[6,5,4,1,7,2,3,8]=>1110100=>7
[8,3,6,1,7,4,5,2]=>1010101=>4
[7,1,2,6,4,8,3,5]=>1001010=>5
[3,5,1,8,6,2,4,7]=>0101100=>3
[8,7,5,6,4,3,2,1,9]=>11011110=>6
[8,6,5,7,4,3,2,1,9]=>11011110=>6
[9,8,7,6,4,3,2,5,1]=>11111101=>7
[9,8,7,6,4,3,5,2,1]=>11111011=>6
[8,5,6,7,4,3,2,1,9]=>10011110=>4
[10,9,7,6,8,5,4,3,2,1]=>111011111=>4
[6,7,5,8,4,3,2,1,9]=>01011110=>2
[10,8,7,6,9,5,4,3,2,1]=>111011111=>4
[8,9,7,6,4,3,2,1,5]=>01111110=>2
[7,6,5,3,2,1,4,8,9]=>11111000=>8
[9,8,7,6,4,3,5,1,2]=>11111010=>8
[9,8,7,6,4,3,2,5,1,10]=>111111010=>9
[9,8,7,6,4,5,2,3,1]=>11110101=>7
[9,8,7,6,4,3,5,2,1,10]=>111110110=>9
[9,8,7,6,5,3,4,2,1]=>11111011=>6
[1,8,7,5,4,6,2,3]=>0111010=>3
[8,1,6,7,4,5,3,2]=>1001011=>4
[8,1,6,4,7,5,3,2]=>1010111=>3
[6,4,8,1,5,3,7,2]=>1010101=>4
[1,6,4,3,5,8,2,7]=>0110010=>4
[5,1,4,3,7,8,6,2]=>1010011=>5
[5,7,1,8,6,3,2,4]=>0101110=>2
[5,7,6,3,4,2,1,8]=>0110110=>3
[4,1,3,7,6,5,2,8]=>1001110=>4
[8,7,6,5,4,2,3,1,9]=>11111010=>8
[4,3,6,1,2,7,8,5]=>1010001=>6
[1,10,9,8,6,5,7,4,3,2]=>011110111=>2
[2,9,8,6,5,7,4,3,1]=>01110111=>2
[3,1,4,5,6,7,9,2,10,8]=>100000101=>7
[5,8,3,6,7,2,4,1]=>0100101=>2
[8,1,6,2,5,7,4,3]=>1010011=>5
[2,7,1,5,3,6,8,4]=>0101001=>3
[6,8,7,3,4,2,5,1]=>0110101=>3
[1,8,6,2,4,7,5,3]=>0110011=>2
[5,7,3,6,4,2,1,8]=>0101110=>2
[5,7,3,6,4,1,8,2]=>0101101=>2
[3,7,5,6,4,1,8,2]=>0101101=>2
[7,1,8,2,3,4,5,9,6]=>10100001=>7
[6,8,1,2,3,4,5,9,7]=>01000001=>5
[9,6,7,4,5,2,3,1,8]=>10101010=>8
[8,9,6,7,4,5,2,1,3]=>01010110=>2
[10,8,9,6,7,4,5,2,1,3]=>101010110=>6
[9,8,6,5,4,3,7,2,1]=>11111011=>6
[2,8,5,7,3,4,6,1]=>0101001=>3
[2,3,6,4,5,1,7,8,9]=>00101000=>4
[2,3,4,8,5,6,7,1,9]=>00010010=>2
[3,5,4,7,2,6,1,8,9]=>01010100=>5
[2,6,4,1,5,3,7,8,9]=>01101000=>5
[4,5,2,6,3,1,7,8,9]=>01011000=>4
[3,6,4,5,9,2,7,8,1]=>01001001=>3
[2,5,4,7,8,6,3,1,9]=>01001110=>3
[4,6,2,5,8,3,7,1,9]=>01001010=>4
[3,5,7,6,1,4,2,8,9]=>00110100=>3
[5,6,2,3,7,4,1,8,9]=>01001100=>4
[5,7,2,3,6,9,4,8,1]=>01000101=>3
[2,8,4,1,6,3,7,5,9]=>01101010=>4
[4,6,7,8,3,1,5,2,9]=>00011010=>2
[6,7,2,3,4,8,5,1,9]=>01000110=>4
[3,5,9,7,1,8,2,6,4]=>00110101=>1
[5,7,8,3,9,4,1,6,2]=>00101101=>1
[7,8,2,3,4,5,9,6,1]=>01000011=>4
[2,4,3,1,5,6,7,8,9,10]=>011000000=>7
[2,3,6,4,5,1,7,8,9,10]=>001010000=>5
[3,4,5,2,1,6,7,8,9,10]=>001100000=>6
[2,3,4,8,5,6,7,1,9,10]=>000100100=>3
[3,5,4,7,2,6,1,8,9,10]=>010101000=>6
[2,6,4,1,5,3,7,8,9,10]=>011010000=>6
[4,5,2,6,3,1,7,8,9,10]=>010110000=>5
[3,6,4,5,9,2,7,8,1,10]=>010010010=>6
[2,5,4,7,8,6,3,1,9,10]=>010011100=>4
[4,6,2,5,8,3,7,1,9,10]=>010010100=>5
[3,5,7,6,1,4,2,8,9,10]=>001101000=>4
[5,6,2,3,7,4,1,8,9,10]=>010011000=>5
[2,5,4,8,6,10,7,3,9,1]=>010101101=>2
[4,7,2,5,6,10,3,8,9,1]=>010001001=>4
[2,3,9,5,6,1,7,8,4,10]=>001010010=>3
[5,7,2,3,6,9,4,8,1,10]=>010001010=>4
[2,8,4,1,6,3,7,5,9,10]=>011010100=>5
[4,6,7,8,3,1,5,2,9,10]=>000110100=>3
[6,7,2,3,4,8,5,1,9,10]=>010001100=>5
[3,6,4,10,8,7,1,5,9,2]=>010111001=>3
[2,7,4,9,6,3,10,8,5,1]=>010110111=>1
[4,6,8,7,3,9,10,5,2,1]=>001100111=>1
[6,8,2,3,4,7,10,5,9,1]=>010000101=>4
[3,5,9,7,1,8,2,6,4,10]=>001101010=>2
[5,7,8,3,9,4,1,6,2,10]=>001011010=>2
[7,8,2,3,4,5,9,6,1,10]=>010000110=>5
[4,6,8,10,9,1,5,2,7,3]=>000110101=>1
[6,8,9,3,4,10,5,1,7,2]=>001001101=>1
[8,9,2,3,4,5,6,10,7,1]=>010000011=>5
[2,1,3,8,5,4,6,7]=>1001100=>6
[5,3,6,8,2,4,1,7]=>1001010=>5
[1,7,8,6,3,2,4,5]=>0011100=>3
[7,1,2,5,3,8,4,6]=>1001010=>5
[3,7,4,2,5,1,8,6]=>0110101=>3
[1,8,3,4,5,7,2,6]=>0100010=>4
[2,6,7,5,3,8,1,4]=>0011010=>2
[4,5,2,6,8,7,1,3]=>0100110=>3
[4,5,2,6,8,3,1,7]=>0100110=>3
[4,5,7,6,2,1,3,8]=>0011100=>3
[7,8,2,6,5,4,3,1]=>0101111=>1
[5,3,7,8,4,2,1,6]=>1001110=>4
[7,3,6,8,1,5,4,2]=>1001011=>4
[9,7,8,5,6,2,4,1,3]=>10101010=>8
[9,7,8,4,6,2,5,1,3]=>10101010=>8
[9,6,8,4,7,2,5,1,3]=>10101010=>8
[8,9,6,4,7,2,5,1,3]=>01101010=>4
[8,9,6,7,4,2,5,1,3]=>01011010=>3
[9,7,8,3,6,2,5,1,4]=>10101010=>8
[9,5,8,4,7,2,6,1,3]=>10101010=>8
[7,6,9,4,8,2,5,1,3]=>10101010=>8
[8,6,9,7,4,2,5,1,3]=>10111010=>6
[10,8,9,6,4,7,2,5,1,3]=>101101010=>8
[8,9,6,4,7,5,2,1,3]=>01101110=>2
[10,8,9,6,7,4,2,5,1,3]=>101011010=>7
[8,9,6,7,4,2,5,3,1]=>01011011=>1
[7,5,8,2,4,3,6,1]=>1010101=>4
[6,5,8,2,3,4,1,7]=>1010010=>6
[8,1,5,3,4,6,2,7]=>1010010=>6
[5,8,7,2,4,3,6,1]=>0110101=>3
[1,7,2,4,8,5,6,3]=>0100101=>2
[5,8,2,3,7,4,6,1]=>0100101=>2
[7,8,2,3,5,4,6,1]=>0100101=>2
[8,4,1,3,2,6,5,7]=>1101010=>7
[8,7,2,3,5,4,6,1]=>1100101=>6
[1,7,6,8,4,5,3,2]=>0101011=>1
[2,7,3,1,8,5,6,4]=>0110101=>3
[3,8,5,2,1,6,7,4]=>0111001=>3
[10,1,2,9,6,3,4,5,7,8]=>100110000=>8
[4,1,2,10,3,5,9,6,7,8]=>100100100=>9
[2,8,6,1,5,7,4,3]=>0110011=>2
[8,3,5,1,7,6,4,2]=>1010111=>3
[8,3,5,4,7,1,6,2]=>1010101=>4
[6,4,1,5,7,8,2,3]=>1100010=>7
[4,8,7,1,2,5,3,6]=>0110010=>4
[8,7,2,6,1,4,3,5]=>1101010=>7
[6,1,7,3,8,2,4,5]=>1010100=>7
[7,1,8,6,4,2,3,5]=>1011100=>5
[4,1,3,5,8,2,6,7]=>1000100=>6
[1,8,5,7,4,6,3,2]=>0101011=>1
[1,4,7,6,8,3,5,2]=>0010101=>1
[1,7,2,8,6,5,3,4]=>0101110=>2
[5,7,1,6,4,2,3,8]=>0101100=>3
[4,8,2,7,5,1,6,3]=>0101101=>2
[2,8,4,6,7,1,5,3]=>0100101=>2
[3,8,5,1,4,2,6,7]=>0110100=>4
[1,7,6,2,5,3,8,4]=>0110101=>3
[1,7,5,2,4,3,8,6]=>0110101=>3
[2,8,5,1,4,3,6,7]=>0110100=>4
[9,7,6,5,4,3,2,8,1]=>11111101=>7
[3,1,4,6,2,5,8,7,9]=>10010010=>6
[1,3,2,5,7,4,6,9,8]=>01001001=>3
[7,6,3,5,4,8,2,1]=>1101011=>5
[1,9,8,5,6,7,4,3,2]=>01100111=>2
[1,10,9,8,5,6,7,4,3,2]=>011100111=>2
[1,9,8,5,4,6,7,3,2]=>01110011=>3
[1,10,9,5,6,7,8,4,3,2]=>011000111=>3
[1,9,5,4,6,7,8,3,2]=>01100011=>3
[1,10,4,5,6,7,8,9,3,2]=>010000011=>5
[3,1,2,5,7,6,8,4]=>1000101=>5
[5,1,7,3,2,6,8,4]=>1011001=>5
[4,7,2,3,5,1,6,8]=>0100100=>5
[4,8,2,3,7,5,1,6]=>0100110=>3
[8,7,2,4,3,5,6,1]=>1101001=>6
[8,6,2,4,3,5,1,7]=>1101010=>7
[8,1,2,4,7,3,5,6]=>1000100=>6
[7,6,2,8,4,5,1,3]=>1101010=>7
[6,8,1,5,7,3,2,4]=>0100110=>3
[4,1,7,5,6,8,2,3]=>1010010=>6
[3,7,6,2,1,4,5,8]=>0111000=>4
[1,6,8,7,2,5,4,3]=>0011011=>1
[1,4,8,7,6,3,5,2]=>0011101=>1
[1,2,3,4,7,5,6,9,8]=>00001001=>1
[3,1,8,4,5,2,7,6]=>1010101=>4
[2,3,7,6,1,8,4,5]=>0011010=>2
[4,8,5,2,1,3,7,6]=>0111001=>3
[5,8,4,2,1,3,7,6]=>0111001=>3
[9,8,7,6,5,3,1,4,2]=>11111101=>7
[9,8,7,6,4,1,5,3,2]=>11111011=>6
[9,8,6,1,7,5,4,3,2]=>11101111=>4
[9,7,1,8,6,5,4,3,2]=>11011111=>3
[4,6,7,5,2,3,1,8]=>0011010=>2
[6,2,5,3,1,8,7,4]=>1011011=>3
[6,2,5,3,8,7,1,4]=>1010110=>5
[6,4,5,3,8,7,1,2]=>1010110=>5
[1,6,4,5,8,7,3,2]=>0100111=>2
[8,4,7,5,2,3,1,6]=>1011010=>6
[8,2,7,4,5,3,1,6]=>1010110=>5
[8,2,4,7,5,3,1,6]=>1001110=>4
[8,2,6,7,5,3,1,4]=>1001110=>4
[8,4,6,7,5,3,1,2]=>1001110=>4
[6,4,5,8,7,3,1,2]=>1001110=>4
[6,2,8,7,5,3,1,4]=>1011110=>4
[4,6,5,3,8,7,1,2]=>0110110=>3
[6,7,2,4,5,3,1,8]=>0100110=>3
[6,8,7,4,5,3,1,2]=>0110110=>3
[2,8,4,7,5,3,1,6]=>0101110=>2
[5,8,7,4,6,3,1,2]=>0110110=>3
[6,5,8,4,7,2,1,3]=>1010110=>5
[4,8,6,2,5,7,1,3]=>0110010=>4
[8,1,6,2,5,7,3,4]=>1010010=>6
[6,8,1,2,4,7,3,5]=>0100010=>4
[8,1,5,3,2,7,4,6]=>1011010=>6
[8,3,7,6,2,5,4,1]=>1011011=>3
[1,2,7,4,5,6,8,9,3]=>00100001=>3
[5,3,1,2,6,7,8,9,10,4]=>110000001=>8
[7,3,4,5,1,2,8,9,10,6]=>100100001=>8
[8,3,4,5,6,1,2,9,10,7]=>100010001=>7
[1,2,3,4,7,8,5,6,9]=>00000100=>3
[1,2,3,4,6,5,8,7,9]=>00001010=>2
[1,2,3,4,8,9,5,6,7]=>00000100=>3
[4,6,1,3,5,8,2,7]=>0100010=>4
[4,5,1,3,8,7,2,6]=>0100110=>3
[6,2,7,1,8,3,4,5]=>1010100=>7
[6,4,5,8,1,7,2,3]=>1001010=>5
[6,2,8,5,1,4,7,3]=>1011001=>5
[2,4,7,6,1,8,3,5]=>0011010=>2
[2,1,7,8,9,3,4,5,6]=>10001000=>8
[2,6,7,8,9,10,1,3,4,5]=>000001000=>4
[9,7,5,3,8,6,4,2,1]=>11101111=>4
[10,8,9,7,6,5,4,3,2,1]=>101111111=>2
[7,4,5,8,6,3,2,1]=>1001111=>3
[8,6,9,7,4,3,2,1,5]=>10111110=>4
[8,6,3,2,1,4,9,7,5]=>11110011=>6
[8,6,4,9,7,5,2,1,3]=>11011110=>6
[10,8,6,4,9,7,5,3,2,1]=>111011111=>4
[9,7,5,3,8,6,4,1,2]=>11101110=>8
[10,8,6,4,2,1,9,7,5,3]=>111110111=>6
[9,6,7,8,5,4,3,2,1]=>10011111=>3
[10,8,9,6,5,4,3,2,1,7]=>101111110=>4
[8,5,6,9,7,4,3,2,1]=>10011111=>3
[9,7,10,8,5,4,3,2,1,6]=>101111110=>4
[8,6,3,2,1,9,7,4,5]=>11110110=>8
[9,7,8,4,3,2,1,5,6]=>10111100=>5
[9,7,4,3,2,1,5,10,8,6]=>111110011=>7
[8,6,3,4,9,7,5,2,1]=>11001111=>4
[8,6,9,7,3,2,1,4,5]=>10111100=>5
[9,7,5,10,8,6,3,2,1,4]=>110111110=>6
[9,7,5,2,3,8,6,4,1]=>11100111=>5
[8,6,2,1,3,4,9,7,5]=>11100011=>6
[10,8,6,4,9,7,5,2,1,3]=>111011110=>8
[8,6,4,9,7,5,1,2,3]=>11011100=>7
[10,8,6,4,1,2,9,7,5,3]=>111100111=>6
[2,5,1,6,3,7,4,8,9]=>01010100=>5
[2,6,1,7,3,8,4,9,5]=>01010101=>4
[3,4,6,1,7,2,8,5,9]=>00101010=>2
[3,2,6,1,7,4,8,5,9]=>10101010=>8
[4,2,5,6,1,7,3,8,9]=>10010100=>7
[3,4,2,6,1,7,5,8,9]=>01010100=>5
[4,2,5,7,1,8,3,9,6]=>10010101=>5
[3,4,2,7,1,8,5,9,6]=>01010101=>4
[5,3,6,4,7,1,8,2,9]=>10101010=>8
[3,5,2,6,7,1,8,4,9]=>01001010=>4
[4,3,5,2,7,1,8,6,9]=>10101010=>8
[4,6,2,7,5,8,1,9,3]=>01010101=>4
[4,3,6,2,7,8,1,9,5]=>10100101=>6
[4,5,3,6,2,8,1,9,7]=>01010101=>4
[2,5,1,6,3,7,4,8,9,10]=>010101000=>6
[3,4,5,1,6,2,7,8,9,10]=>001010000=>5
[2,6,1,7,3,8,4,9,5,10]=>010101010=>5
[3,4,6,1,7,2,8,5,9,10]=>001010100=>3
[3,2,6,1,7,4,8,5,9,10]=>101010100=>9
[4,2,5,6,1,7,3,8,9,10]=>100101000=>8
[3,4,2,6,1,7,5,8,9,10]=>010101000=>6
[3,2,7,1,8,4,9,5,10,6]=>101010101=>5
[4,5,6,7,1,8,2,9,3,10]=>000101010=>2
[3,4,2,7,1,8,5,9,6,10]=>010101010=>5
[5,3,6,4,7,1,8,2,9,10]=>101010100=>9
[3,5,2,6,7,1,8,4,9,10]=>010010100=>5
[4,3,5,2,7,1,8,6,9,10]=>101010100=>9
[5,2,6,7,8,1,9,3,10,4]=>100010101=>6
[5,3,6,4,8,1,9,2,10,7]=>101010101=>5
[3,5,2,6,8,1,9,4,10,7]=>010010101=>2
[4,3,5,2,8,1,9,6,10,7]=>101010101=>5
[4,6,2,7,5,8,1,9,3,10]=>010101010=>5
[4,3,6,2,7,8,1,9,5,10]=>101001010=>7
[4,5,3,6,2,8,1,9,7,10]=>010101010=>5
[5,3,7,2,8,6,9,1,10,4]=>101010101=>5
[4,5,3,7,2,8,9,1,10,6]=>010100101=>3
[5,4,6,3,7,2,9,1,10,8]=>101010101=>5
[7,6,5,9,4,3,2,1,8]=>11011110=>6
[7,6,5,4,3,9,2,1,8]=>11110110=>8
[7,9,8,5,4,3,2,1,6]=>01111110=>2
[8,7,10,6,5,4,3,2,1,9]=>101111110=>4
[7,6,9,8,4,3,2,1,5]=>10111110=>4
[8,7,6,10,5,4,3,2,1,9]=>110111110=>6
[7,6,5,9,8,3,2,1,4]=>11011110=>6
[7,6,5,4,9,8,2,1,3]=>11101110=>8
[8,7,6,5,4,10,3,2,1,9]=>111101110=>9
[7,6,5,4,3,9,8,1,2]=>11110110=>8
[8,7,6,5,4,3,10,2,1,9]=>111110110=>9
[9,8,7,6,5,2,3,4,1]=>11111001=>7
[6,1,7,8,9,2,3,4,5]=>10001000=>8
[4,5,6,7,1,9,2,3,8]=>00010100=>3
[3,5,6,7,9,1,2,4,8]=>00001000=>4
[5,1,6,7,8,2,9,3,4]=>10001010=>6
[4,1,6,7,8,9,2,3,5]=>10000100=>7
[5,1,6,7,8,9,10,2,3,4]=>100000100=>8
[7,4,1,3,6,8,2,5]=>1100010=>7
[6,8,1,2,7,3,4,5]=>0100100=>5
[1,6,2,8,7,3,4,5]=>0101100=>3
[1,6,8,5,7,4,3,2]=>0010111=>1
[3,8,1,2,4,7,6,5]=>0100011=>3
[1,4,5,7,3,6,8,2]=>0001001=>1
[2,3,8,1,4,6,5,7]=>0010010=>3
[3,6,2,4,7,5,8,1]=>0100101=>2
[3,1,8,4,6,2,5,7]=>1010100=>7
[4,2,7,3,5,8,1,6]=>1010010=>6
[3,1,8,4,5,6,2,7]=>1010010=>6
[4,2,7,8,6,3,1,5]=>1001110=>4
[7,1,4,2,8,6,3,5]=>1010110=>5
[2,3,7,4,8,1,6,5]=>0010101=>1
[1,6,3,5,8,7,4,2]=>0100111=>2
[8,4,6,3,5,1,7,2]=>1010101=>4
[7,3,2,6,8,4,5,1]=>1100101=>6
[2,4,5,7,1,6,8,3]=>0001001=>1
[8,4,2,6,7,3,5,1]=>1100101=>6
[4,1,5,7,8,6,2,3]=>1000110=>5
[6,1,4,8,2,3,7,5]=>1001001=>5
[7,6,2,3,5,8,4,1]=>1100011=>5
[2,8,5,7,6,3,4,1]=>0101101=>2
[2,5,7,8,6,4,1,3]=>0001110=>2
[7,4,1,6,2,5,8,3]=>1101001=>6
[8,7,4,6,2,5,3,1]=>1101011=>5
[1,7,5,4,6,2,3,8]=>0110100=>4
[6,2,7,5,3,1,4,8]=>1011100=>5
[6,1,7,4,8,5,2,3]=>1010110=>5
[8,2,4,6,3,1,7,5]=>1001101=>4
[5,6,2,4,8,7,3,1]=>0100111=>2
[8,5,6,2,3,7,4,1]=>1010011=>5
[7,8,1,4,5,6,2,3]=>0100010=>4
[5,6,7,8,9,1,3,4,2]=>00001001=>1
[6,7,8,9,1,3,4,5,2]=>00010001=>2
[6,7,8,9,1,4,5,2,3]=>00010010=>2
[6,7,8,9,1,4,5,3,2]=>00010011=>1
[6,7,8,9,1,5,4,3,2]=>00010111=>1
[7,8,9,1,4,5,6,2,3]=>00100010=>4
[7,8,9,1,4,5,6,3,2]=>00100011=>2
[7,8,9,1,5,6,3,4,2]=>00100101=>1
[7,8,9,1,5,6,4,3,2]=>00100111=>1
[7,8,9,1,6,5,4,3,2]=>00101111=>1
[8,9,1,5,6,7,3,4,2]=>01000101=>3
[8,9,1,5,6,7,4,3,2]=>01000111=>3
[8,9,1,6,7,4,5,2,3]=>01001010=>4
[8,9,1,6,7,4,5,3,2]=>01001011=>2
[8,9,1,6,7,5,4,3,2]=>01001111=>2
[9,1,7,8,5,6,3,4,2]=>10010101=>5
[9,1,7,8,5,6,4,3,2]=>10010111=>4
[5,6,7,8,9,10,1,3,4,2]=>000001001=>1
[5,6,7,8,9,10,1,4,3,2]=>000001011=>1
[7,8,9,10,1,4,5,6,2,3]=>000100010=>3
[7,8,9,10,1,4,5,6,3,2]=>000100011=>1
[7,8,9,10,1,5,6,4,3,2]=>000100111=>1
[7,8,9,10,1,6,5,4,3,2]=>000101111=>1
[8,9,10,1,4,5,6,7,2,3]=>001000010=>4
[8,9,10,1,4,5,6,7,3,2]=>001000011=>3
[8,9,10,1,5,6,7,2,3,4]=>001000100=>5
[8,9,10,1,5,6,7,4,3,2]=>001000111=>2
[8,9,10,1,6,7,4,5,2,3]=>001001010=>2
[8,9,10,1,6,7,4,5,3,2]=>001001011=>1
[8,9,10,1,6,7,5,4,3,2]=>001001111=>1
[8,9,10,1,7,6,5,4,3,2]=>001011111=>1
[9,10,1,6,7,8,3,4,5,2]=>010001001=>4
[9,10,1,6,7,8,4,5,2,3]=>010001010=>4
[9,10,1,6,7,8,4,5,3,2]=>010001011=>3
[9,10,1,6,7,8,5,4,3,2]=>010001111=>3
[9,10,1,7,8,5,6,3,4,2]=>010010101=>2
[9,10,1,7,8,5,6,4,3,2]=>010010111=>2
[9,10,1,7,8,6,5,4,3,2]=>010011111=>2
[10,1,8,9,6,7,4,5,3,2]=>100101011=>5
[10,1,8,9,6,7,5,4,3,2]=>100101111=>4
[10,1,8,9,7,6,5,4,3,2]=>100111111=>3
[7,4,8,3,5,6,2,1]=>1010011=>5
[2,6,1,4,7,5,8,3]=>0100101=>2
[3,1,5,7,2,6,8,4]=>1001001=>5
[3,1,7,5,2,6,8,4]=>1011001=>5
[3,2,7,5,1,6,8,4]=>1011001=>5
[5,2,7,3,1,6,8,4]=>1011001=>5
[6,7,2,1,3,4,8,5]=>0110001=>4
[4,6,3,1,2,7,8,5]=>0110001=>4
[2,3,4,5,7,9,6,8,1]=>00000101=>1
[2,3,4,6,9,5,7,8,1]=>00001001=>1
[2,3,5,6,8,4,7,1]=>0000101=>1
[2,3,5,9,4,6,7,8,1]=>00010001=>2
[2,4,5,8,3,6,7,1]=>0001001=>1
[2,4,9,3,5,6,7,8,1]=>00100001=>3
[5,9,8,7,6,4,3,1,2]=>01111110=>2
[5,4,8,7,6,3,2,1,9]=>10111110=>4
[4,5,8,7,6,3,1,2]=>0011110=>2
[6,5,9,8,7,4,3,1,2]=>10111110=>4
[8,7,4,6,5,3,1,2]=>1101110=>6
[9,5,8,7,6,4,3,1,2]=>10111110=>4
[6,10,9,8,7,5,4,3,1,2]=>011111110=>2
[8,1,4,3,6,2,5,7]=>1010100=>7
[1,6,3,7,8,4,2,5]=>0100110=>3
[5,3,8,4,6,7,2,1]=>1010011=>5
[4,3,5,8,6,7,2,1]=>1001011=>4
[3,2,7,8,5,6,4,1]=>1001011=>4
[4,7,3,8,5,6,2,1]=>0101011=>1
[7,1,4,8,5,6,3,2]=>1001011=>4
[4,3,8,7,2,5,6,1]=>1011001=>5
[1,7,3,8,6,4,5,2]=>0101101=>2
[7,4,2,8,5,6,3,1]=>1101011=>5
[3,4,8,2,6,7,5,1]=>0010011=>1
[1,6,3,8,7,4,5,2]=>0101101=>2
[1,4,5,8,7,6,2,3]=>0001110=>2
[5,2,1,3,8,4,6,7]=>1100100=>7
[1,4,3,5,8,2,6,7]=>0100100=>5
[2,1,3,8,6,4,5,7]=>1001100=>6
[1,3,6,4,5,8,2,7]=>0010010=>3
[6,1,4,3,5,8,2,7]=>1010010=>6
[6,5,1,3,8,2,4,7]=>1100100=>7
[1,4,3,8,6,2,5,7]=>0101100=>3
[4,1,3,8,6,2,5,7]=>1001100=>6
[7,1,5,4,6,3,8,2]=>1010101=>4
[8,9,7,6,5,4,3,2,10,1]=>011111101=>2
[7,6,8,5,4,3,2,9,1]=>10111101=>4
[6,8,7,5,4,3,2,9,1]=>01111101=>2
[6,4,7,8,3,5,1,2]=>1001010=>5
[3,5,6,7,1,8,4,2]=>0001011=>1
[2,7,8,3,6,1,5,4]=>0010101=>1
[1,7,8,3,6,2,5,4]=>0010101=>1
[7,4,3,5,8,1,6,2]=>1100101=>6
[7,3,6,4,1,8,5,2]=>1011011=>3
[7,8,4,3,6,1,5,2]=>0110101=>3
[7,1,6,4,3,8,5,2]=>1011011=>3
[8,7,3,4,1,5,2,6]=>1101010=>7
[7,2,6,4,3,8,5,1]=>1011011=>3
[1,7,5,4,3,8,2,6]=>0111010=>3
[4,5,8,1,7,3,2,6]=>0010110=>2
[4,6,7,1,3,8,2,5]=>0010010=>3
[2,3,4,5,6,1,8,9,7]=>00001001=>1
[2,3,4,5,1,7,8,9,6]=>00010001=>2
[2,6,3,1,4,7,8,5]=>0110001=>4
[2,9,3,4,5,6,1,7,8]=>01000100=>6
[2,3,4,5,6,7,1,9,10,8]=>000001001=>1
[2,7,3,4,1,8,5,6]=>0101010=>4
[2,8,3,4,5,1,6,9,7]=>01001001=>3
[2,7,3,4,1,5,8,9,6]=>01010001=>4
[2,3,4,5,1,7,8,9,10,6]=>000100001=>2
[2,6,3,1,4,7,8,9,5]=>01100001=>5
[2,3,1,5,6,7,8,9,10,4]=>010000001=>6
[7,5,8,2,4,3,1,6]=>1010110=>5
[2,3,7,8,1,4,6,5]=>0001001=>1
[8,2,3,5,4,1,7,6]=>1001101=>4
[7,1,3,8,2,4,6,5]=>1001001=>5
[7,2,3,6,4,1,8,5]=>1001101=>4
[6,5,2,4,1,8,3,7]=>1101010=>7
[5,7,2,4,1,3,8,6]=>0101001=>3
[6,2,5,4,1,8,3,7]=>1011010=>6
[4,2,5,3,7,6,9,8,1]=>10101011=>4
[4,2,6,3,7,5,9,8,1]=>10101011=>4
[4,2,6,3,8,5,9,7,1]=>10101011=>4
[4,2,6,3,8,5,1,7,9]=>10101100=>6
[4,2,6,3,5,8,1,7]=>1010010=>6
[4,2,6,3,8,5,7,1,9]=>10101010=>8
[4,2,6,3,5,8,7,1,9]=>10100110=>6
[4,2,3,6,5,8,7,1,9]=>10010110=>5
[4,2,5,3,7,6,9,8,1,10]=>101010110=>6
[5,2,6,3,7,4,9,8,1]=>10101011=>4
[4,2,6,3,7,5,9,8,1,10]=>101010110=>6
[4,2,7,3,8,5,9,6,1]=>10101011=>4
[4,2,6,3,8,5,9,7,1,10]=>101010110=>6
[4,2,6,3,9,5,1,7,8]=>10101100=>6
[4,2,6,3,8,5,10,7,1,9]=>101010110=>6
[4,2,6,3,8,5,7,9,1]=>10101001=>7
[4,2,6,3,8,5,10,7,9,1]=>101010101=>5
[4,2,6,3,5,8,1,7,9]=>10100100=>8
[4,2,6,3,8,5,7,10,9,1]=>101010011=>7
[4,2,3,6,8,5,7,1,9]=>10001010=>6
[4,2,6,3,5,8,7,10,9,1]=>101001011=>6
[2,4,6,3,5,8,7,1,9]=>00100110=>2
[4,2,3,6,5,8,7,10,9,1]=>100101011=>5
[7,4,2,6,8,5,3,1]=>1100111=>4
[8,5,2,4,6,3,1,7]=>1100110=>6
[7,4,1,2,8,5,6,3]=>1100101=>6
[6,4,1,8,5,2,3,7]=>1101100=>7
[8,4,1,6,3,5,2,7]=>1101010=>7
[7,3,4,1,6,8,5,2]=>1010011=>5
[8,6,2,3,5,7,4,1]=>1100011=>5
[8,6,2,5,7,3,4,1]=>1100101=>6
[6,3,4,8,5,1,2,7]=>1001100=>6
[8,5,1,2,7,4,6,3]=>1100101=>6
[7,2,6,8,3,4,5,1]=>1001001=>5
[1,6,7,5,4,8,2,3]=>0011010=>2
[1,8,5,4,2,6,3,7]=>0111010=>3
[3,4,5,6,9,2,1,8,7]=>00001101=>1
[3,4,5,8,2,9,1,7,6]=>00010101=>1
[3,4,7,2,8,9,1,5,6]=>00100100=>4
[3,6,2,7,8,9,1,5,4]=>01000101=>3
[5,2,6,7,8,9,1,4,3]=>10000101=>6
[3,4,5,6,9,1,7,8,2]=>00001001=>1
[3,4,5,6,7,10,2,1,9,8]=>000001101=>1
[3,4,5,8,9,6,1,7,2]=>00001101=>1
[3,4,5,6,9,2,10,1,8,7]=>000010101=>1
[3,4,7,8,5,9,1,2,6]=>00010100=>3
[3,4,5,9,2,6,1,8,7]=>00010101=>1
[3,4,5,8,2,9,10,1,6,7]=>000100100=>3
[3,6,7,4,8,9,1,5,2]=>00100101=>1
[3,4,8,2,5,9,1,7,6]=>00100101=>1
[3,4,7,2,8,9,10,1,6,5]=>001000101=>2
[5,6,3,7,8,9,1,4,2]=>01000101=>3
[3,7,2,4,8,9,1,5,6]=>01000100=>6
[3,6,2,7,8,9,10,1,5,4]=>010000101=>4
[6,2,3,7,8,9,1,5,4]=>10000101=>6
[5,2,6,7,8,9,10,1,3,4]=>100000100=>8
[8,9,7,6,5,4,1,3,2]=>01111101=>2
[8,7,9,6,5,4,1,3,2]=>10111101=>4
[9,7,8,6,5,4,1,3,2]=>10111101=>4
[9,10,8,7,6,5,4,1,3,2]=>011111101=>2
[10,8,7,6,5,4,3,2,9,1]=>111111101=>8
[5,7,3,6,2,1,4,8]=>0101100=>3
[1,3,2,4,5,6,9,7,8]=>01000010=>5
[2,3,1,4,5,6,9,7,8]=>01000010=>5
[5,8,6,1,2,4,3,7]=>0110010=>4
[4,1,5,7,3,6,8,2]=>1001001=>5
[1,4,5,7,6,8,2,3]=>0001010=>2
[5,7,2,1,6,8,4,3]=>0110011=>2
[2,6,3,1,7,8,5,4]=>0110011=>2
[6,2,5,7,4,1,8,3]=>1001101=>4
[3,6,1,8,7,4,5,2]=>0101101=>2
[4,3,9,5,6,7,8,2,1]=>10100011=>6
[2,9,4,5,6,7,8,1,10,3]=>010000101=>4
[3,2,8,5,6,7,1,9,4]=>10100101=>6
[7,8,4,5,6,1,3,9,2]=>01001001=>3
[3,4,1,9,6,7,8,2,5]=>01010010=>5
[4,8,9,5,6,7,2,1,3]=>00100110=>2
[4,3,10,5,6,7,8,9,2,1]=>101000011=>7
[3,2,9,5,6,7,8,1,10,4]=>101000101=>7
[8,9,4,5,6,7,1,3,10,2]=>010001001=>4
[4,2,3,8,6,7,1,9,5]=>10010101=>5
[6,8,4,5,1,3,7,9,2]=>01010001=>4
[4,7,1,3,5,6,8,2]=>0100001=>4
[4,3,5,7,8,2,6,1]=>1000101=>5
[3,5,1,4,9,7,8,2,6]=>01001010=>4
[8,3,4,9,6,7,2,5,1]=>10010101=>5
[3,4,1,10,6,7,8,9,2,5]=>010100010=>6
[4,7,9,5,6,2,1,8,3]=>00101101=>1
[4,9,10,5,6,7,8,2,1,3]=>001000110=>3
[5,3,2,7,6,4,1,8]=>1101110=>6
[5,3,7,4,6,2,1,8]=>1010110=>5
[5,7,3,2,1,8,6,4]=>0111011=>2
[5,7,6,3,2,1,8,4]=>0111101=>2
[3,2,7,5,4,1,8,6]=>1011101=>4
[1,7,3,5,4,2,6,8]=>0101100=>3
[5,3,7,4,1,8,6,2]=>1011011=>3
[7,3,5,4,1,6,8,2]=>1011001=>5
[7,5,1,6,8,3,2,4]=>1100110=>6
[5,3,1,7,6,8,2,4]=>1101010=>7
[7,1,5,3,2,4,8,6]=>1011001=>5
[8,1,2,5,3,4,6,7,9]=>10010000=>8
[7,1,5,2,4,3,6,8]=>1010100=>7
[1,9,2,3,6,4,5,7,8]=>01001000=>6
[9,1,2,3,6,4,5,7,8,10]=>100010000=>9
[8,1,2,6,4,3,5,7,9]=>10011000=>7
[8,1,2,6,3,5,4,7,9]=>10010100=>7
[1,9,2,3,7,5,4,6,8]=>01001100=>4
[1,9,2,3,7,4,6,5,8]=>01001010=>4
[6,8,7,3,2,1,5,4]=>0111101=>2
[3,6,8,7,2,4,1,5]=>0011010=>2
[5,7,3,6,2,1,8,4]=>0101101=>2
[3,6,5,2,4,8,1,7]=>0110010=>4
[5,6,7,8,9,3,2,1,4]=>00001110=>2
[6,7,8,9,3,4,1,2,5]=>00010100=>3
[6,7,8,9,3,4,2,1,5]=>00010110=>2
[7,8,9,3,4,5,1,2,6]=>00100100=>4
[7,8,9,3,4,5,2,1,6]=>00100110=>2
[7,8,9,4,5,2,3,1,6]=>00101010=>2
[7,8,9,4,5,3,2,1,6]=>00101110=>2
[8,9,4,5,6,2,3,1,7]=>01001010=>4
[8,9,4,5,6,3,2,1,7]=>01001110=>3
[8,9,5,6,3,4,1,2,7]=>01010100=>5
[8,9,5,6,3,4,2,1,7]=>01010110=>2
[8,9,5,6,4,3,2,1,7]=>01011110=>2
[9,6,7,4,5,3,2,1,8]=>10101110=>5
[5,6,7,8,9,10,3,2,1,4]=>000001110=>2
[7,8,9,10,3,4,5,1,2,6]=>000100100=>3
[7,8,9,10,3,4,5,2,1,6]=>000100110=>2
[7,8,9,10,4,5,2,3,1,6]=>000101010=>2
[7,8,9,10,4,5,3,2,1,6]=>000101110=>2
[7,8,9,10,5,4,3,2,1,6]=>000111110=>2
[8,9,10,3,4,5,6,1,2,7]=>001000100=>5
[8,9,10,3,4,5,6,2,1,7]=>001000110=>3
[8,9,10,4,5,6,1,2,3,7]=>001001000=>5
[8,9,10,4,5,6,3,2,1,7]=>001001110=>2
[8,9,10,5,6,3,4,1,2,7]=>001010100=>3
[8,9,10,5,6,3,4,2,1,7]=>001010110=>2
[8,9,10,5,6,4,3,2,1,7]=>001011110=>2
[8,9,10,6,5,4,3,2,1,7]=>001111110=>2
[9,10,5,6,7,2,3,4,1,8]=>010010010=>6
[9,10,5,6,7,3,4,1,2,8]=>010010100=>5
[9,10,5,6,7,3,4,2,1,8]=>010010110=>3
[9,10,5,6,7,4,3,2,1,8]=>010011110=>3
[9,10,6,7,4,5,3,2,1,8]=>010101110=>2
[9,10,6,7,5,4,3,2,1,8]=>010111110=>2
[9,10,7,6,5,4,3,2,1,8]=>011111110=>2
[10,7,8,5,6,3,4,2,1,9]=>101010110=>6
[10,7,8,5,6,4,3,2,1,9]=>101011110=>5
[10,7,8,6,5,4,3,2,1,9]=>101111110=>4
[1,8,3,6,2,4,7,5]=>0101001=>3
[1,8,7,5,6,4,2,3]=>0110110=>3
[6,8,2,1,5,4,3,7]=>0110110=>3
[10,9,1,2,3,7,8,4,5,6]=>110000100=>9
[10,9,1,2,8,7,3,4,5,6]=>110011000=>9
[9,8,1,10,7,2,3,4,5,6]=>110110000=>9
[8,6,1,2,3,4,5,9,10,7]=>110000001=>8
[5,7,1,2,3,4,8,9,10,6]=>010000001=>6
[10,4,1,2,3,7,8,9,5,6]=>110000010=>9
[10,3,1,2,9,7,8,4,5,6]=>110010100=>9
[2,9,1,10,8,7,3,4,5,6]=>010111000=>4
[6,3,2,1,5,8,4,7]=>1110010=>7
[4,3,5,6,2,8,1,7]=>1001010=>5
[6,3,5,2,7,8,4,1]=>1010011=>5
[4,5,3,1,6,8,2,7]=>0110010=>4
[3,4,6,7,5,1,8,2]=>0001101=>1
[7,4,1,2,5,6,8,3]=>1100001=>6
[4,8,2,6,7,1,5,3]=>0100101=>2
[6,5,8,3,7,1,4,2]=>1010101=>4
[4,2,6,1,3,5,8,7,9]=>10100010=>7
[4,2,6,1,8,3,5,7,9]=>10101000=>8
[4,2,6,1,3,5,8,7,10,9]=>101000101=>7
[4,2,8,1,3,6,5,7,9]=>10100100=>8
[4,2,6,1,8,3,5,7,10,9]=>101010001=>8
[4,2,6,1,9,3,5,8,7]=>10101001=>7
[4,2,6,1,8,3,10,5,7,9]=>101010100=>9
[9,7,1,8,2,3,4,5,6]=>11010000=>8
[9,6,1,7,2,8,3,4,5]=>11010100=>8
[8,6,1,9,7,2,3,4,5]=>11011000=>8
[9,8,6,1,7,2,3,4,5]=>11101000=>8
[8,5,1,9,6,2,7,3,4]=>11011010=>8
[9,8,5,1,6,2,7,3,4]=>11101010=>8
[9,7,5,1,8,6,2,3,4]=>11101100=>8
[9,8,7,5,1,6,2,3,4]=>11110100=>8
[9,7,4,1,8,5,2,6,3]=>11101101=>7
[9,8,7,4,1,5,2,6,3]=>11110101=>7
[8,6,4,1,9,7,5,2,3]=>11101110=>8
[9,8,6,4,1,7,5,2,3]=>11110110=>8
[9,8,7,6,4,1,5,2,3]=>11111010=>8
[9,8,7,5,3,1,6,4,2]=>11111011=>6
[10,7,1,8,2,9,3,4,5,6]=>110101000=>9
[9,7,1,10,8,2,3,4,5,6]=>110110000=>9
[10,9,7,1,8,2,3,4,5,6]=>111010000=>9
[10,6,1,7,2,8,3,9,4,5]=>110101010=>9
[9,6,1,10,7,2,8,3,4,5]=>110110100=>9
[10,9,6,1,7,2,8,3,4,5]=>111010100=>9
[10,8,6,1,9,7,2,3,4,5]=>111011000=>9
[10,9,8,6,1,7,2,3,4,5]=>111101000=>9
[9,5,1,10,6,2,7,3,8,4]=>110110101=>8
[10,9,5,1,6,2,7,3,8,4]=>111010101=>8
[8,5,1,9,6,2,10,7,3,4]=>110110110=>9
[10,8,5,1,9,6,2,7,3,4]=>111011010=>9
[10,9,8,5,1,6,2,7,3,4]=>111101010=>9
[9,7,5,1,10,8,6,2,3,4]=>111011100=>9
[10,9,7,5,1,8,6,2,3,4]=>111101100=>9
[10,9,8,7,5,1,6,2,3,4]=>111110100=>9
[9,7,4,1,10,8,5,2,6,3]=>111011101=>7
[10,9,7,4,1,8,5,2,6,3]=>111101101=>8
[10,9,8,7,4,1,5,2,6,3]=>111110101=>8
[10,8,6,4,1,9,7,5,2,3]=>111101110=>9
[10,9,8,6,4,1,7,5,2,3]=>111110110=>9
[10,9,8,7,6,4,1,5,2,3]=>111111010=>9
[10,9,7,5,3,1,8,6,4,2]=>111110111=>6
[10,9,8,7,5,3,1,6,4,2]=>111111011=>7
[10,9,8,7,6,5,3,1,4,2]=>111111101=>8
[9,1,2,8,4,3,5,6,7]=>10011000=>7
[8,1,9,3,2,4,6,5,7]=>10110010=>7
[9,8,2,1,3,5,6,4,7]=>11100010=>8
[8,1,9,2,4,5,6,3,7]=>10100010=>7
[2,3,4,10,6,7,8,9,1,5]=>000100010=>3
[2,3,10,5,6,7,8,9,1,4]=>001000010=>4
[2,3,4,5,6,10,1,9,7,8]=>000001010=>2
[2,3,4,5,10,1,8,9,6,7]=>000010010=>2
[2,3,10,1,6,7,8,9,4,5]=>001000010=>4
[1,5,2,4,7,6,8,3]=>0100101=>2
[1,4,3,6,5,8,7,9,2]=>01010101=>4
[1,4,2,6,5,8,7,9,3]=>01010101=>4
[1,5,2,6,4,8,7,9,3]=>01010101=>4
[1,5,2,7,4,8,6,9,3]=>01010101=>4
[1,5,2,7,4,9,6,8,3]=>01010101=>4
[1,5,2,7,4,6,9,8,3]=>01010011=>3
[1,5,2,4,7,6,9,8,3]=>01001011=>2
[1,2,5,4,7,6,9,8,3]=>00101011=>1
[1,4,2,6,5,8,7,10,9,3]=>010101011=>1
[1,5,2,6,3,8,7,9,4]=>01010101=>4
[1,5,2,6,4,8,7,10,9,3]=>010101011=>1
[1,6,2,7,4,8,5,9,3]=>01010101=>4
[1,5,2,7,4,8,6,10,9,3]=>010101011=>1
[1,5,2,8,4,9,6,7,3]=>01010101=>4
[1,5,2,7,4,9,6,10,8,3]=>010101011=>1
[1,5,2,7,4,6,8,9,3]=>01010001=>4
[1,5,2,7,4,9,6,8,10,3]=>010101001=>4
[1,5,2,4,7,9,6,8,3]=>01000101=>3
[1,5,2,7,4,6,9,8,10,3]=>010100101=>3
[1,2,5,7,4,6,9,8,3]=>00010011=>1
[1,5,2,4,7,6,9,8,10,3]=>010010101=>2
[1,2,5,4,7,6,9,8,10,3]=>001010101=>1
[2,5,4,7,1,8,3,6]=>0101010=>4
[1,5,4,7,3,8,2,6]=>0101010=>4
[1,2,6,7,3,5,4,8]=>0001010=>2
[8,1,2,4,6,3,5,7]=>1000100=>6
[4,5,6,7,9,8,3,2,1]=>00001111=>1
[5,4,6,7,8,9,3,2,1]=>10000111=>5
[5,6,7,8,10,9,4,3,2,1]=>000011111=>1
[6,5,7,8,9,4,3,2,1]=>10001111=>4
[6,5,7,8,9,10,4,3,2,1]=>100001111=>5
[4,5,6,7,8,10,9,3,2,1]=>000001111=>1
[4,5,6,7,3,9,8,2,1]=>00010111=>1
[3,5,6,7,9,8,4,2,1]=>00001111=>1
[5,4,6,7,8,3,9,2,1]=>10001011=>5
[4,3,6,7,8,9,5,2,1]=>10000111=>5
[5,4,6,7,8,9,10,3,2,1]=>100000111=>6
[3,4,5,6,8,9,7,1,2]=>00000110=>2
[3,4,5,7,8,9,6,1,2]=>00000110=>2
[3,5,6,7,8,9,4,1,2]=>00000110=>2
[4,5,6,7,8,9,3,1,2]=>00000110=>2
[3,4,5,6,7,9,10,8,1,2]=>000000110=>2
[3,4,5,8,1,9,7,6,2]=>00010111=>1
[3,4,5,6,8,9,10,7,1,2]=>000000110=>2
[3,4,7,1,8,9,6,5,2]=>00100111=>1
[3,6,1,7,8,9,4,5,2]=>01000101=>3
[3,4,6,7,8,9,10,5,1,2]=>000000110=>2
[5,1,6,7,8,9,4,3,2]=>10000111=>5
[3,5,6,7,8,9,10,4,1,2]=>000000110=>2
[1,5,6,7,8,9,3,2,4]=>00000110=>2
[3,4,5,6,7,10,1,8,9,2]=>000001001=>1
[3,4,5,8,9,6,7,1,2]=>00001010=>2
[3,4,5,6,9,1,10,8,7,2]=>000010111=>1
[3,4,7,8,5,9,6,1,2]=>00010110=>2
[3,4,5,9,1,6,7,8,2]=>00010001=>2
[3,4,5,8,1,9,10,7,6,2]=>000100111=>1
[3,4,8,1,5,9,7,6,2]=>00100111=>1
[3,4,7,1,8,9,10,5,6,2]=>001000101=>2
[5,6,3,7,8,9,4,1,2]=>01000110=>4
[3,7,8,4,5,6,1,2]=>0010010=>3
[3,7,1,4,8,9,6,5,2]=>01000111=>3
[3,6,1,7,8,9,10,5,4,2]=>010000111=>4
[5,2,6,7,8,9,3,1,4]=>10000110=>6
[6,1,3,7,8,9,4,5,2]=>10000101=>6
[5,1,6,7,8,9,10,4,3,2]=>100000111=>6
[1,2,6,7,8,9,4,3,5]=>00000110=>2
[1,3,8,6,7,4,5,2]=>0010101=>1
[2,6,5,3,7,1,8,4]=>0110101=>3
[5,7,1,3,6,4,8,2]=>0100101=>2
[8,2,5,4,1,7,3,6]=>1011010=>6
[8,1,7,6,4,2,3,5]=>1011100=>5
[1,8,6,3,7,4,5,2]=>0110101=>3
[5,7,3,4,2,8,6,1]=>0101011=>1
[5,8,3,4,2,7,6,1]=>0101011=>1
[7,6,4,2,3,8,5,1]=>1110011=>5
[3,5,6,8,2,4,7,1]=>0001001=>1
[4,8,7,3,2,5,6,1]=>0111001=>3
[3,7,4,2,6,8,5,1]=>0110011=>2
[6,4,8,7,3,2,5,1]=>1011101=>4
[5,6,2,8,7,4,3,1]=>0101111=>1
[6,2,8,3,7,4,5,1]=>1010101=>4
[3,7,5,6,4,2,8,1]=>0101101=>2
[5,2,3,8,6,1,4,7]=>1001100=>6
[1,4,3,8,5,6,2,7]=>0101010=>4
[7,8,2,6,4,3,5,1]=>0101101=>2
[4,5,8,7,2,3,6,1]=>0011001=>2
[7,8,6,1,4,2,5,3]=>0110101=>3
[6,10,5,1,2,3,4,7,8,9]=>011000000=>7
[10,5,4,1,2,3,6,7,8,9]=>111000000=>9
[8,3,6,5,2,7,1,4]=>1011010=>6
[5,1,3,6,4,2,7,8]=>1001100=>6
[6,1,2,4,7,5,3,8]=>1000110=>5
[8,3,1,4,6,7,2,5]=>1100010=>7
[7,8,5,1,2,6,3,4]=>0110010=>4
[6,4,5,1,8,7,3,2]=>1010111=>3
[8,6,2,1,7,3,5,4]=>1110101=>6
[9,3,4,5,6,8,7,2,1]=>10000111=>5
[9,4,3,5,6,7,8,2,1]=>11000011=>6
[10,9,3,4,5,6,8,7,2,1]=>110000111=>6
[9,8,3,4,5,7,6,2,1]=>11000111=>5
[9,8,4,3,5,6,7,2,1]=>11100011=>6
[10,9,4,3,5,6,7,8,2,1]=>111000011=>7
[10,3,4,5,6,7,9,8,2,1]=>100000111=>6
[9,3,4,5,6,2,8,7,1]=>10001011=>5
[9,2,4,5,6,8,7,3,1]=>10000111=>5
[9,4,3,5,6,7,2,8,1]=>11000101=>7
[9,3,2,5,6,7,8,4,1]=>11000011=>6
[10,4,3,5,6,7,8,9,2,1]=>110000011=>7
[7,8,6,1,4,3,5,2]=>0110101=>3
[4,6,3,5,7,2,8,1,9]=>01001010=>4
[5,6,3,4,7,2,8,1,9]=>01001010=>4
[4,3,6,2,5,7,1,8]=>1010010=>6
[1,5,7,4,6,8,3,9,2]=>00100101=>1
[1,6,5,7,3,4,8,2]=>0101001=>3
[1,6,7,4,5,8,3,9,2]=>00100101=>1
[1,7,5,6,8,4,9,3,10,2]=>010010101=>2
[1,2,3,4,8,5,9,6,7]=>00001010=>2
[1,2,3,4,5,8,6,9,7,10]=>000001010=>2
[1,2,3,7,4,5,8,6,9]=>00010010=>2
[1,2,3,4,8,6,5,7,9]=>00001100=>3
[1,2,3,4,9,7,5,6,8]=>00001100=>3
[1,2,3,4,5,9,6,10,7,8]=>000001010=>2
[8,2,6,5,1,7,4,3]=>1011011=>3
[7,6,4,1,2,5,8,3]=>1110001=>6
[2,6,5,4,8,7,1,3]=>0110110=>3
[5,6,7,1,3,2,4,8]=>0010100=>3
[7,1,8,4,3,2,6,5]=>1011101=>4
[2,1,4,9,3,5,6,7,8]=>10010000=>8
[3,7,1,2,4,5,6,9,8]=>01000001=>5
[3,1,2,6,9,4,5,7,8]=>10001000=>8
[4,6,1,2,3,5,9,7,8]=>01000010=>5
[1,8,5,2,7,6,4,3]=>0110111=>1
[1,7,6,8,2,5,4,3]=>0101011=>1
[1,7,8,6,2,5,4,3]=>0011011=>1
[4,6,5,7,1,8,2,3]=>0101010=>4
[7,5,3,6,8,4,2,1]=>1100111=>4
[7,2,5,6,4,8,3,1]=>1001011=>4
[7,4,6,2,8,5,3,1]=>1010111=>3
[9,7,6,5,4,3,8,2,1]=>11111011=>6
[9,8,6,5,4,7,3,2,1]=>11110111=>5
[5,4,3,2,1,9,7,8,6]=>11110101=>7
[10,8,7,6,5,4,3,9,2,1]=>111111011=>7
[10,9,7,6,5,4,8,3,2,1]=>111110111=>6
[1,6,3,4,2,5,8,7]=>0101001=>3
[1,5,7,6,2,3,8,4]=>0011001=>2
[1,4,3,7,6,2,5,8]=>0101100=>3
[1,3,7,4,6,8,5,2]=>0010011=>1
[3,7,4,6,8,1,5,2]=>0100101=>2
[4,8,3,1,7,6,2,5]=>0110110=>3
[2,6,7,5,3,4,1,8]=>0011010=>2
[2,4,1,7,5,6,8,3]=>0101001=>3
[7,2,4,8,3,5,1,6]=>1001010=>5
[5,6,1,4,3,8,7,2]=>0101011=>1
[5,8,6,4,3,1,7,2]=>0111101=>2
[4,1,3,7,8,6,5,2]=>1000111=>4
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Description
Map
descent word
Description
The descent positions of a permutation as a binary word.
For a permutation $\pi$ of $n$ letters and each $1\leq i\leq n-1$ such that $\pi(i) > \pi(i+1)$ we set $w_i=1$, otherwise $w_i=0$.
Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation.
For a permutation $\pi$ of $n$ letters and each $1\leq i\leq n-1$ such that $\pi(i) > \pi(i+1)$ we set $w_i=1$, otherwise $w_i=0$.
Thus, the length of the word is one less the size of the permutation. In particular, the descent word is undefined for the empty permutation.
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